\\ bsd_p5_301-600.gp \\ --------------------------------------------------------------- \\ N,i = i-th newform at level N (forms ordered by trace). \\ bsd[N,i] = odd_part(L(A_f,1)/Omega*(manin constant)) \\ deg[N,i] = odd_part(modular degree) \\ dsc[N,i] = disc(O_f) \\ E [N,i] = [g(x), denom*[a_1(x), a_2(x), ..., a_5(x)]] \\ 301 <= N <= 600 \\ \\ Thu Mar 4 06:26:04 1999 \\ William Stein (was@math.berkeley.edu) \\ --------------------------------------------------------------- bsd[301,1] = 0 ; deg[301,1] = 7 ; dsc[301,1] = 19*103 ; E [301,1] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-2*x^2+2*x+1,x^2-2,-x^2-2*x]]; bsd[301,2] = 0 ; deg[301,2] = 1 ; dsc[301,2] = 81509 ; E [301,2] = [x^5-6*x^3+x^2+5*x-2, [1,x,x^4+x^3-6*x^2-5*x+4,x^2-2,-2*x^4-2*x^3+11*x^2+8*x-8]]; bsd[301,3] = 1 ; deg[301,3] = 17 ; dsc[301,3] = 31*9739 ; E [301,3] = [x^5-x^4-6*x^3+5*x^2+6*x-1, [1,x,-x^3+4*x+1,x^2-2,x^4-5*x^2+x+3]]; bsd[301,4] = 1/11 ; deg[301,4] = 1 ; dsc[301,4] = 2^2*37*32366197 ; E [301,4] = [x^7-4*x^6-3*x^5+25*x^4-13*x^3-23*x^2+11*x+2, [1,x,-x^5+x^4+7*x^3-5*x^2-8*x+2,x^2-2,x^6-2*x^5-6*x^4+11*x^3+4*x^2-6*x]]; bsd[302,1] = 1 ; deg[302,1] = 3^3 ; dsc[302,1] = 1 ; E [302,1] = [x, [1,-1,2,1,2]]; bsd[302,2] = 0 ; deg[302,2] = 5 ; dsc[302,2] = 1 ; E [302,2] = [x, [1,1,-3,1,0]]; bsd[302,3] = 0 ; deg[302,3] = 3*5 ; dsc[302,3] = 1 ; E [302,3] = [x, [1,1,-1,1,-4]]; bsd[302,4] = 0 ; deg[302,4] = 7 ; dsc[302,4] = 2^3 ; E [302,4] = [x^2+2*x-1, [1,-1,x,1,0]]; bsd[302,5] = 1/3 ; deg[302,5] = 3^3*431 ; dsc[302,5] = 2^4*1613 ; E [302,5] = [x^4-10*x^2-6*x+9, [3,-3,3*x,3,2*x^3-3*x^2-14*x+3]]; bsd[302,6] = 41/19 ; deg[302,6] = 41 ; dsc[302,6] = 2^4*389 ; E [302,6] = [x^4-2*x^3-4*x^2+8*x-1, [1,1,x,1,-x^2+3]]; bsd[303,1] = 0 ; deg[303,1] = 1 ; dsc[303,1] = 1 ; E [303,1] = [x, [1,-2,1,2,-1]]; bsd[303,2] = 0 ; deg[303,2] = 7 ; dsc[303,2] = 1 ; E [303,2] = [x, [1,0,1,-2,-3]]; bsd[303,3] = 0 ; deg[303,3] = 1 ; dsc[303,3] = 2^3 ; E [303,3] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[303,4] = 3/17 ; deg[303,4] = 3 ; dsc[303,4] = 2^2*3083683 ; E [303,4] = [x^6-x^5-7*x^4+5*x^3+13*x^2-4*x-6, [1,x,1,x^2-2,x^4-x^3-5*x^2+3*x+5]]; bsd[303,5] = 1 ; deg[303,5] = 1103 ; dsc[303,5] = 2^4*89*3678833 ; E [303,5] = [x^7-12*x^5+40*x^3+x^2-24*x-4, [1,x,-1,x^2-2,x^6+x^5-8*x^4-6*x^3+14*x^2+3*x-3]]; bsd[304,1] = 0 ; deg[304,1] = 3 ; dsc[304,1] = 1 ; E [304,1] = [x, [1,0,-2,0,-1]]; bsd[304,2] = 0 ; deg[304,2] = 1 ; dsc[304,2] = 1 ; E [304,2] = [x, [1,0,-1,0,0]]; bsd[304,3] = 1 ; deg[304,3] = 3 ; dsc[304,3] = 1 ; E [304,3] = [x, [1,0,-1,0,0]]; bsd[304,4] = 0 ; deg[304,4] = 3 ; dsc[304,4] = 1 ; E [304,4] = [x, [1,0,1,0,-4]]; bsd[304,5] = 1 ; deg[304,5] = 1 ; dsc[304,5] = 1 ; E [304,5] = [x, [1,0,2,0,-1]]; bsd[304,6] = 1 ; deg[304,6] = 3 ; dsc[304,6] = 1 ; E [304,6] = [x, [1,0,2,0,3]]; bsd[304,7] = 1 ; deg[304,7] = 1 ; dsc[304,7] = 31^2 ; E [304,7] = [x^3+x^2-10*x-8, [2,0,2*x,0,-x^2+x+8]]; bsd[305,1] = 0 ; deg[305,1] = 3 ; dsc[305,1] = 3^4 ; E [305,1] = [x^3-3*x+1, [1,x,-x,x^2-2,-1]]; bsd[305,2] = 0 ; deg[305,2] = 37 ; dsc[305,2] = 2777 ; E [305,2] = [x^4+3*x^3-x^2-6*x-1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,1]]; bsd[305,3] = 1/3 ; deg[305,3] = 139 ; dsc[305,3] = 2^8*82219057 ; E [305,3] = [x^7+2*x^6-11*x^5-19*x^4+35*x^3+48*x^2-25*x-27, [2,2*x,-x^5+8*x^3-x^2-11*x-1,2*x^2-4,-2]]; bsd[305,4] = 3^2/31 ; deg[305,4] = 3^2 ; dsc[305,4] = 2^10*31*43*977 ; E [305,4] = [x^7-2*x^6-9*x^5+17*x^4+19*x^3-36*x^2+5*x+1, [2,2*x,-x^6+2*x^5+8*x^4-15*x^3-15*x^2+27*x,2*x^2-4,2]]; bsd[306,1] = 0 ; deg[306,1] = 3 ; dsc[306,1] = 1 ; E [306,1] = [x, [1,-1,0,1,0]]; bsd[306,2] = 1 ; deg[306,2] = 1 ; dsc[306,2] = 1 ; E [306,2] = [x, [1,-1,0,1,2]]; bsd[306,3] = 3 ; deg[306,3] = 3 ; dsc[306,3] = 1 ; E [306,3] = [x, [1,1,0,1,0]]; bsd[306,4] = 1 ; deg[306,4] = 1 ; dsc[306,4] = 1 ; E [306,4] = [x, [1,1,0,1,4]]; bsd[306,5] = 1/3 ; deg[306,5] = 5 ; dsc[306,5] = 2^3*3 ; E [306,5] = [x^2-6, [1,-1,0,1,x]]; bsd[306,6] = 5/3 ; deg[306,6] = 3*5 ; dsc[306,6] = 2^3*3 ; E [306,6] = [x^2-6, [1,1,0,1,x]]; bsd[307,1] = 1 ; deg[307,1] = 13 ; dsc[307,1] = 1 ; E [307,1] = [x, [1,0,0,-2,4]]; bsd[307,2] = 1 ; deg[307,2] = 5 ; dsc[307,2] = 1 ; E [307,2] = [x, [1,1,2,-1,0]]; bsd[307,3] = 1 ; deg[307,3] = 11 ; dsc[307,3] = 1 ; E [307,3] = [x, [1,2,0,2,2]]; bsd[307,4] = 1 ; deg[307,4] = 3*5 ; dsc[307,4] = 1 ; E [307,4] = [x, [1,2,2,2,0]]; bsd[307,5] = 1/3 ; deg[307,5] = 3*107 ; dsc[307,5] = 13 ; E [307,5] = [x^2+x-3, [1,x,-x-2,-x+1,3]]; bsd[307,6] = 1/17 ; deg[307,6] = 5^2*11*13*107 ; dsc[307,6] = 5*457*3697*974513 ; E [307,6] = [x^9-3*x^8-11*x^7+30*x^6+46*x^5-87*x^4-91*x^3+50*x^2+62*x+13, [1,x,-x^8+2*x^7+11*x^6-18*x^5-38*x^4+44*x^3+39*x^2-24*x-13,x^2-2,x^7-x^6-11*x^5+5*x^4+36*x^3+3*x^2-24*x-9]]; bsd[307,7] = 0 ; deg[307,7] = 1 ; dsc[307,7] = 21577*568380457 ; E [307,7] = [x^10+7*x^9+10*x^8-28*x^7-73*x^6+16*x^5+128*x^4+26*x^3-69*x^2-18*x-1, [1,x,x^9+6*x^8+5*x^7-29*x^6-48*x^5+37*x^4+91*x^3-7*x^2-52*x-6,x^2-2,-x^9-6*x^8-4*x^7+34*x^6+50*x^5-57*x^4-111*x^3+22*x^2+69*x+7]]; bsd[308,1] = 0 ; deg[308,1] = 3 ; dsc[308,1] = 1 ; E [308,1] = [x, [1,0,-1,0,-1]]; bsd[308,2] = 3 ; deg[308,2] = 3^2*5 ; dsc[308,2] = 2^3*3 ; E [308,2] = [x^2-6, [1,0,x,0,2]]; bsd[308,3] = 1 ; deg[308,3] = 3^3 ; dsc[308,3] = 2^3*127 ; E [308,3] = [x^3+x^2-6*x-2, [1,0,x,0,-x^2+4]]; bsd[309,1] = 0 ; deg[309,1] = 5 ; dsc[309,1] = 1 ; E [309,1] = [x, [1,-1,1,-1,-1]]; bsd[309,2] = 1 ; deg[309,2] = 89 ; dsc[309,2] = 2^2*37 ; E [309,2] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x]]; bsd[309,3] = 0 ; deg[309,3] = 3^2 ; dsc[309,3] = 81509 ; E [309,3] = [x^5+2*x^4-4*x^3-6*x^2+4*x+1, [1,x,-1,x^2-2,x^4+x^3-5*x^2-3*x+3]]; bsd[309,4] = 5^2/13 ; deg[309,4] = 5^2 ; dsc[309,4] = 2^2*5*109363884517 ; E [309,4] = [x^8+x^7-13*x^6-11*x^5+52*x^4+35*x^3-59*x^2-27*x+1, [2,2*x,2,2*x^2-4,-x^7+11*x^5-36*x^3-3*x^2+34*x+7]]; bsd[310,1] = 0 ; deg[310,1] = 3 ; dsc[310,1] = 1 ; E [310,1] = [x, [1,1,-2,1,-1]]; bsd[310,2] = 3 ; deg[310,2] = 3 ; dsc[310,2] = 1 ; E [310,2] = [x, [1,1,2,1,-1]]; bsd[310,3] = 0 ; deg[310,3] = 3 ; dsc[310,3] = 2^2*3 ; E [310,3] = [x^2+2*x-2, [1,-1,x,1,-1]]; bsd[310,4] = 1 ; deg[310,4] = 23 ; dsc[310,4] = 2^3*3 ; E [310,4] = [x^2-6, [1,-1,x,1,1]]; bsd[310,5] = 5 ; deg[310,5] = 5^2 ; dsc[310,5] = 2^4*37 ; E [310,5] = [x^3-2*x^2-4*x+4, [1,1,x,1,1]]; bsd[311,1] = 0 ; deg[311,1] = 1 ; dsc[311,1] = 5^2*29 ; E [311,1] = [x^4+x^3-3*x^2-x+1, [1,x,-x^3-x^2+2*x,x^2-2,x^3+x^2-3*x-1]]; bsd[311,2] = 1/5*31 ; deg[311,2] = 1 ; dsc[311,2] = 3013091897*2106873009119126062143259000543887593 ; E [311,2] = [x^22-2*x^21-35*x^20+70*x^19+517*x^18-1033*x^17-4195*x^16+8357*x^15+20417*x^14-40403*x^13-61287*x^12+119701*x^11+113017*x^10-215615*x^9-124399*x^8+228609*x^7+76453*x^6-133295*x^5-23503*x^4+36742*x^3+3587*x^2-3200*x-473, [106341562018576649119,106341562018576649119*x,-1333218028123436678*x^21+1367946423136236257*x^20+49328489263264063408*x^19-48698618113739814119*x^18-780071490285978038489*x^17+731764058773877640305*x^16+6883435129930837071209*x^15-6029718454604453812991*x^14-37117408682963362048611*x^13+29643589741202443321628*x^12+125904278451589035925849*x^11-88764078616540344648331*x^10-266400248133720180154691*x^9+159042733994278329421197*x^8+336261615438596631255820*x^7-162008001244132052237259*x^6-230084343080867524283273*x^5+85032171085335940948597*x^4+71086649415902837709445*x^3-17051195074052769029465*x^2-6284781941061791629214*x-87513220437116449887,106341562018576649119*x^2-212683124037153298238,-21242974024529590*x^21-1434491652110563978*x^20+3209217338769634321*x^19+48282217898366329351*x^18-94578303848943192367*x^17-676590780104692901915*x^16+1270815302353166006692*x^15+5102603103564094427213*x^14-9439579417621543494677*x^13-22357866355125222974699*x^12+41280678241435124160901*x^11+57441564627509462184517*x^10-106882614769975285857639*x^9-83882843771650414225579*x^8+158593036380613931304765*x^7+66319079553842412941717*x^6-126427357236440356717803*x^5-28369596568106140688094*x^4+47782658911006380501745*x^3+8238984211089590694971*x^2-6439892278957108980653*x-1313955819411519890238]]; bsd[312,1] = 1 ; deg[312,1] = 1 ; dsc[312,1] = 1 ; E [312,1] = [x, [1,0,-1,0,-2]]; bsd[312,2] = 0 ; deg[312,2] = 1 ; dsc[312,2] = 1 ; E [312,2] = [x, [1,0,-1,0,0]]; bsd[312,3] = 1 ; deg[312,3] = 3*5 ; dsc[312,3] = 1 ; E [312,3] = [x, [1,0,-1,0,4]]; bsd[312,4] = 0 ; deg[312,4] = 3 ; dsc[312,4] = 1 ; E [312,4] = [x, [1,0,1,0,-4]]; bsd[312,5] = 1 ; deg[312,5] = 1 ; dsc[312,5] = 1 ; E [312,5] = [x, [1,0,1,0,0]]; bsd[312,6] = 1 ; deg[312,6] = 1 ; dsc[312,6] = 1 ; E [312,6] = [x, [1,0,1,0,2]]; bsd[313,1] = 1 ; deg[313,1] = 41 ; dsc[313,1] = 5 ; E [313,1] = [x^2-x-1, [1,x,-x+2,x-1,x+1]]; bsd[313,2] = 0 ; deg[313,2] = 1 ; dsc[313,2] = 9614923*130838023 ; E [313,2] = [x^11+8*x^10+16*x^9-26*x^8-121*x^7-62*x^6+190*x^5+196*x^4-76*x^3-122*x^2+2*x+17, [13,13*x,-29*x^10-184*x^9-159*x^8+1023*x^7+1831*x^6-1251*x^5-3525*x^4+133*x^3+2052*x^2+138*x-290,13*x^2-26,3*x^10+15*x^9-10*x^8-126*x^7-37*x^6+341*x^5+132*x^4-302*x^3-76*x^2+31*x+4]]; bsd[313,3] = 1/13 ; deg[313,3] = 41 ; dsc[313,3] = 2^2*8619587*2164322751511 ; E [313,3] = [x^12-6*x^11-2*x^10+69*x^9-68*x^8-268*x^7+399*x^6+368*x^5-701*x^4-57*x^3+262*x^2-22*x-19, [2,2*x,2*x^10-6*x^9-24*x^8+70*x^7+108*x^6-278*x^5-224*x^4+400*x^3+200*x^2-94*x-34,2*x^2-4,2*x^11-8*x^10-18*x^9+94*x^8+36*x^7-380*x^6+68*x^5+580*x^4-226*x^3-210*x^2+66*x+16]]; bsd[314,1] = 0 ; deg[314,1] = 5 ; dsc[314,1] = 1 ; E [314,1] = [x, [1,-1,0,1,0]]; bsd[314,2] = 1/3 ; deg[314,2] = 19*113 ; dsc[314,2] = 3*53*337*907 ; E [314,2] = [x^6-3*x^5-9*x^4+26*x^3+20*x^2-43*x-25, [13,-13,13*x,13,-5*x^5+8*x^4+51*x^3-56*x^2-103*x+24]]; bsd[314,3] = 709/79 ; deg[314,3] = 709 ; dsc[314,3] = 47*176130259 ; E [314,3] = [x^7+x^6-17*x^5-6*x^4+84*x^3-19*x^2-73*x+4, [15,15,15*x,15,-5*x^5+55*x^3-20*x^2-95*x+20]]; bsd[315,1] = 0 ; deg[315,1] = 1 ; dsc[315,1] = 1 ; E [315,1] = [x, [1,-1,0,-1,-1]]; bsd[315,2] = 1 ; deg[315,2] = 5 ; dsc[315,2] = 1 ; E [315,2] = [x, [1,0,0,-2,1]]; bsd[315,3] = 0 ; deg[315,3] = 1 ; dsc[315,3] = 2^3 ; E [315,3] = [x^2+2*x-1, [1,x,0,-2*x-1,-1]]; bsd[315,4] = 1 ; deg[315,4] = 5 ; dsc[315,4] = 2^2*5 ; E [315,4] = [x^2-5, [1,x,0,3,1]]; bsd[315,5] = 1 ; deg[315,5] = 1 ; dsc[315,5] = 17 ; E [315,5] = [x^2-x-4, [1,x,0,x+2,-1]]; bsd[315,6] = 1 ; deg[315,6] = 3^2 ; dsc[315,6] = 2^3 ; E [315,6] = [x^2-2*x-1, [1,x,0,2*x-1,1]]; bsd[316,1] = 0 ; deg[316,1] = 3^2 ; dsc[316,1] = 1 ; E [316,1] = [x, [1,0,-3,0,1]]; bsd[316,2] = 1 ; deg[316,2] = 3^2 ; dsc[316,2] = 1 ; E [316,2] = [x, [1,0,-1,0,1]]; bsd[316,3] = 0 ; deg[316,3] = 3^3 ; dsc[316,3] = 13 ; E [316,3] = [x^2+5*x+3, [1,0,0,0,x]]; bsd[316,4] = 3 ; deg[316,4] = 3^3 ; dsc[316,4] = 13 ; E [316,4] = [x^2-3*x-1, [1,0,2,0,x]]; bsd[317,1] = 0 ; deg[317,1] = 1 ; dsc[317,1] = 367*3217*660603043 ; E [317,1] = [x^11+3*x^10-10*x^9-32*x^8+31*x^7+109*x^6-42*x^5-147*x^4+35*x^3+68*x^2-19*x-1, [1046,1046*x,113*x^10-308*x^9-2162*x^8+4042*x^7+12971*x^6-18250*x^5-28022*x^4+33587*x^3+17524*x^2-20784*x+1175,1046*x^2-2092,468*x^10+1668*x^9-3900*x^8-17176*x^7+7206*x^6+54916*x^5+4*x^4-67560*x^3-3466*x^2+26704*x-1928]]; bsd[317,2] = 1/79 ; deg[317,2] = 1 ; dsc[317,2] = 2^4*7*14989400036918065702697531 ; E [317,2] = [x^15-x^14-22*x^13+22*x^12+188*x^11-184*x^10-786*x^9+723*x^8+1666*x^7-1315*x^6-1715*x^5+910*x^4+829*x^3-168*x^2-129*x+1, [9028,9028*x,-2929*x^14+6610*x^13+62146*x^12-141208*x^11-497546*x^10+1147126*x^9+1838946*x^8-4378801*x^7-3005667*x^6+7741472*x^5+1592783*x^4-5224775*x^3-153144*x^2+994572*x-29861,9028*x^2-18056,13774*x^14-21574*x^13-289662*x^12+465758*x^11+2307270*x^10-3819202*x^9-8563554*x^8+14681512*x^7+14433530*x^6-25983162*x^5-8822896*x^4+17245030*x^3+1692098*x^2-3153974*x+11572]]; bsd[318,1] = 0 ; deg[318,1] = 3 ; dsc[318,1] = 1 ; E [318,1] = [x, [1,-1,-1,1,-1]]; bsd[318,2] = 1 ; deg[318,2] = 3*17 ; dsc[318,2] = 1 ; E [318,2] = [x, [1,-1,-1,1,4]]; bsd[318,3] = 1/3 ; deg[318,3] = 3*5 ; dsc[318,3] = 1 ; E [318,3] = [x, [1,-1,1,1,0]]; bsd[318,4] = 0 ; deg[318,4] = 11 ; dsc[318,4] = 1 ; E [318,4] = [x, [1,1,-1,1,-3]]; bsd[318,5] = 1 ; deg[318,5] = 5 ; dsc[318,5] = 1 ; E [318,5] = [x, [1,1,-1,1,0]]; bsd[318,6] = 5 ; deg[318,6] = 5^2*43 ; dsc[318,6] = 41 ; E [318,6] = [x^2-x-10, [1,-1,1,1,x]]; bsd[318,7] = 1 ; deg[318,7] = 13 ; dsc[318,7] = 17 ; E [318,7] = [x^2-x-4, [1,1,1,1,x]]; bsd[319,1] = 1 ; deg[319,1] = 23 ; dsc[319,1] = 1 ; E [319,1] = [x, [1,2,-3,2,1]]; bsd[319,2] = 0 ; deg[319,2] = 3*17 ; dsc[319,2] = 3^4 ; E [319,2] = [x^3-3*x-1, [1,x,-x,x^2-2,-2*x^2+x+2]]; bsd[319,3] = 0 ; deg[319,3] = 1 ; dsc[319,3] = 2777 ; E [319,3] = [x^4+2*x^3-3*x^2-3*x+2, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^3+2*x^2-2*x-3]]; bsd[319,4] = 1/5 ; deg[319,4] = 3*5 ; dsc[319,4] = 127*1063*6709 ; E [319,4] = [x^7-3*x^6-4*x^5+15*x^4+x^3-14*x^2+1, [1,x,-x^4+x^3+5*x^2-3*x-3,x^2-2,x^5-x^4-6*x^3+4*x^2+7*x-1]]; bsd[319,5] = 1 ; deg[319,5] = 23*167 ; dsc[319,5] = 1433*2459*65551 ; E [319,5] = [x^8-13*x^6-x^5+50*x^4+7*x^3-54*x^2-5*x+1, [9,9*x,-x^7-x^6+16*x^5+10*x^4-78*x^3-25*x^2+113*x+14,9*x^2-18,4*x^7-2*x^6-49*x^5+17*x^4+168*x^3-26*x^2-143*x+13]]; bsd[320,1] = 0 ; deg[320,1] = 1 ; dsc[320,1] = 1 ; E [320,1] = [x, [1,0,-2,0,1]]; bsd[320,2] = 1 ; deg[320,2] = 1 ; dsc[320,2] = 1 ; E [320,2] = [x, [1,0,-2,0,1]]; bsd[320,3] = 0 ; deg[320,3] = 1 ; dsc[320,3] = 1 ; E [320,3] = [x, [1,0,0,0,-1]]; bsd[320,4] = 1 ; deg[320,4] = 1 ; dsc[320,4] = 1 ; E [320,4] = [x, [1,0,0,0,-1]]; bsd[320,5] = 1 ; deg[320,5] = 1 ; dsc[320,5] = 1 ; E [320,5] = [x, [1,0,2,0,1]]; bsd[320,6] = 1 ; deg[320,6] = 1 ; dsc[320,6] = 1 ; E [320,6] = [x, [1,0,2,0,1]]; bsd[320,7] = 1 ; deg[320,7] = 1 ; dsc[320,7] = 2^5 ; E [320,7] = [x^2-8, [1,0,x,0,-1]]; bsd[321,1] = 0 ; deg[321,1] = 5 ; dsc[321,1] = 5 ; E [321,1] = [x^2+x-1, [1,-x-1,-1,x,1]]; bsd[321,2] = 0 ; deg[321,2] = 41 ; dsc[321,2] = 5 ; E [321,2] = [x^2+x-1, [1,-x-1,1,x,-3]]; bsd[321,3] = 29/3^2 ; deg[321,3] = 29 ; dsc[321,3] = 2^4*826957 ; E [321,3] = [x^6-3*x^5-5*x^4+18*x^3+x^2-19*x+3, [2,2*x,2,2*x^2-4,x^5-x^4-8*x^3+5*x^2+13*x]]; bsd[321,4] = 1 ; deg[321,4] = 14051 ; dsc[321,4] = 2^4*21803*24443 ; E [321,4] = [x^7-14*x^5-x^4+55*x^3+8*x^2-46*x-19, [4,4*x,-4,4*x^2-8,-x^6+x^5+11*x^4-10*x^3-31*x^2+25*x+13]]; bsd[322,1] = 0 ; deg[322,1] = 3 ; dsc[322,1] = 1 ; E [322,1] = [x, [1,-1,0,1,-2]]; bsd[322,2] = 1 ; deg[322,2] = 7 ; dsc[322,2] = 1 ; E [322,2] = [x, [1,-1,2,1,0]]; bsd[322,3] = 0 ; deg[322,3] = 5 ; dsc[322,3] = 1 ; E [322,3] = [x, [1,1,-2,1,-2]]; bsd[322,4] = 1 ; deg[322,4] = 3 ; dsc[322,4] = 1 ; E [322,4] = [x, [1,1,2,1,-2]]; bsd[322,5] = 0 ; deg[322,5] = 5 ; dsc[322,5] = 2^2*5 ; E [322,5] = [x^2+2*x-4, [1,-1,x,1,-x-2]]; bsd[322,6] = 1 ; deg[322,6] = 3*11 ; dsc[322,6] = 2^2*3 ; E [322,6] = [x^2+2*x-2, [1,1,x,1,x+2]]; bsd[322,7] = 11 ; deg[322,7] = 11 ; dsc[322,7] = 2^4*79 ; E [322,7] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]]; bsd[323,1] = 1 ; deg[323,1] = 5*7 ; dsc[323,1] = 1 ; E [323,1] = [x, [1,0,3,-2,-2]]; bsd[323,2] = 1 ; deg[323,2] = 17 ; dsc[323,2] = 17 ; E [323,2] = [x^2+x-4, [1,x,x+1,-x+2,2]]; bsd[323,3] = 0 ; deg[323,3] = 3*7 ; dsc[323,3] = 19*103 ; E [323,3] = [x^4-6*x^2-x+7, [1,x,x^3-2*x^2-4*x+5,x^2-2,-x^3+x^2+3*x-4]]; bsd[323,4] = 0 ; deg[323,4] = 1 ; dsc[323,4] = 73*1453 ; E [323,4] = [x^5+3*x^4-2*x^3-7*x^2+2*x+1, [1,x,-x^3-2*x^2+2*x+1,x^2-2,x^4+3*x^3-x^2-6*x-1]]; bsd[323,5] = 1/3^2 ; deg[323,5] = 3*7*17 ; dsc[323,5] = 2^2*1627*17299 ; E [323,5] = [x^6-2*x^5-9*x^4+15*x^3+23*x^2-23*x-21, [2,2*x,x^5-x^4-8*x^3+5*x^2+12*x-1,2*x^2-4,-2*x^4+2*x^3+14*x^2-8*x-18]]; bsd[323,6] = 1/5 ; deg[323,6] = 1 ; dsc[323,6] = 2^2*353*1697*3851 ; E [323,6] = [x^7-x^6-10*x^5+9*x^4+26*x^3-19*x^2-12*x+8, [2,2*x,x^6-x^5-10*x^4+7*x^3+26*x^2-7*x-10,2*x^2-4,2*x^6-20*x^4+52*x^2+2*x-20]]; bsd[324,1] = 0 ; deg[324,1] = 3^2 ; dsc[324,1] = 1 ; E [324,1] = [x, [1,0,0,0,-3]]; bsd[324,2] = 1/3 ; deg[324,2] = 3^2 ; dsc[324,2] = 1 ; E [324,2] = [x, [1,0,0,0,-3]]; bsd[324,3] = 1/3 ; deg[324,3] = 3^2 ; dsc[324,3] = 1 ; E [324,3] = [x, [1,0,0,0,3]]; bsd[324,4] = 1 ; deg[324,4] = 3^2 ; dsc[324,4] = 1 ; E [324,4] = [x, [1,0,0,0,3]]; bsd[325,1] = 1/5 ; deg[325,1] = 3*7 ; dsc[325,1] = 1 ; E [325,1] = [x, [1,-2,-1,2,0]]; bsd[325,2] = 0 ; deg[325,2] = 3 ; dsc[325,2] = 1 ; E [325,2] = [x, [1,0,-1,-2,0]]; bsd[325,3] = 0 ; deg[325,3] = 3*5 ; dsc[325,3] = 1 ; E [325,3] = [x, [1,0,1,-2,0]]; bsd[325,4] = 1 ; deg[325,4] = 3 ; dsc[325,4] = 1 ; E [325,4] = [x, [1,1,2,-1,0]]; bsd[325,5] = 3 ; deg[325,5] = 3*7 ; dsc[325,5] = 1 ; E [325,5] = [x, [1,2,1,2,0]]; bsd[325,6] = 1 ; deg[325,6] = 3^2*5^2*7 ; dsc[325,6] = 2^3 ; E [325,6] = [x^2+2*x-1, [1,x,-2*x-2,-2*x-1,0]]; bsd[325,7] = 0 ; deg[325,7] = 3 ; dsc[325,7] = 2^2*3 ; E [325,7] = [x^2-3, [1,x,-x-1,1,0]]; bsd[325,8] = 1 ; deg[325,8] = 3^2*7 ; dsc[325,8] = 2^3 ; E [325,8] = [x^2-8, [2,-x+2,2*x,-2*x+2,0]]; bsd[325,9] = 1 ; deg[325,9] = 3^2 ; dsc[325,9] = 2^3 ; E [325,9] = [x^2-2, [1,x+1,x,2*x+1,0]]; bsd[325,10] = 0 ; deg[325,10] = 5 ; dsc[325,10] = 2^2*37 ; E [325,10] = [x^3+3*x^2-x-5, [1,x,x^2+x-4,x^2-2,0]]; bsd[325,11] = 1 ; deg[325,11] = 5^2 ; dsc[325,11] = 2^2*37 ; E [325,11] = [x^3-3*x^2-x+5, [1,x,-x^2+x+4,x^2-2,0]]; bsd[326,1] = 1/3 ; deg[326,1] = 3*17 ; dsc[326,1] = 1 ; E [326,1] = [x, [1,-1,-2,1,-3]]; bsd[326,2] = 0 ; deg[326,2] = 3^2 ; dsc[326,2] = 1 ; E [326,2] = [x, [1,-1,0,1,-1]]; bsd[326,3] = 0 ; deg[326,3] = 5 ; dsc[326,3] = 1 ; E [326,3] = [x, [1,1,-2,1,-1]]; bsd[326,4] = 1 ; deg[326,4] = 13*17*47 ; dsc[326,4] = 482689 ; E [326,4] = [x^5-3*x^4-8*x^3+27*x^2-5*x-17, [13,-13,13*x,13,-7*x^4+10*x^3+68*x^2-84*x-32]]; bsd[326,5] = 3^3*61/41 ; deg[326,5] = 3^3*61 ; dsc[326,5] = 617*28921 ; E [326,5] = [x^6-5*x^5+29*x^3-25*x^2-35*x+36, [1,1,x,1,x^5-2*x^4-6*x^3+9*x^2+7*x-7]]; bsd[327,1] = 0 ; deg[327,1] = 1 ; dsc[327,1] = 1 ; E [327,1] = [x, [1,-1,1,-1,-1]]; bsd[327,2] = 0 ; deg[327,2] = 13 ; dsc[327,2] = 2^2*37 ; E [327,2] = [x^3+3*x^2-x-5, [1,x,-1,x^2-2,-1]]; bsd[327,3] = 1 ; deg[327,3] = 107 ; dsc[327,3] = 2^4*1023203 ; E [327,3] = [x^6-4*x^5-2*x^4+20*x^3-8*x^2-16*x+1, [2,2*x,-2,2*x^2-4,x^5-x^4-9*x^3+5*x^2+19*x+1]]; bsd[327,4] = 139/5*11 ; deg[327,4] = 139 ; dsc[327,4] = 2^9*5*139*1033895651 ; E [327,4] = [x^9-3*x^8-11*x^7+35*x^6+34*x^5-122*x^4-29*x^3+127*x^2+9*x-5, [6,6*x,6,6*x^2-12,-x^8-x^7+16*x^6+14*x^5-80*x^4-60*x^3+125*x^2+85*x-2]]; bsd[328,1] = 0 ; deg[328,1] = 1 ; dsc[328,1] = 1 ; E [328,1] = [x, [1,0,0,0,-2]]; bsd[328,2] = 1 ; deg[328,2] = 3 ; dsc[328,2] = 1 ; E [328,2] = [x, [1,0,2,0,2]]; bsd[328,3] = 1 ; deg[328,3] = 1 ; dsc[328,3] = 2^2*3 ; E [328,3] = [x^2-2*x-2, [1,0,x,0,0]]; bsd[328,4] = 0 ; deg[328,4] = 1 ; dsc[328,4] = 2^2*37 ; E [328,4] = [x^3+4*x^2+2*x-2, [1,0,x,0,-x^2-4*x-2]]; bsd[328,5] = 1 ; deg[328,5] = 3 ; dsc[328,5] = 2^2*197 ; E [328,5] = [x^3+2*x^2-6*x-10, [1,0,x,0,-x^2+6]]; bsd[329,1] = 1 ; deg[329,1] = 3^2*5 ; dsc[329,1] = 1 ; E [329,1] = [x, [1,-1,-1,-1,3]]; bsd[329,2] = 1 ; deg[329,2] = 13 ; dsc[329,2] = 17 ; E [329,2] = [x^2-x-4, [1,-1,x,-1,x-2]]; bsd[329,3] = 0 ; deg[329,3] = 83 ; dsc[329,3] = 7^2 ; E [329,3] = [x^3+4*x^2+3*x-1, [1,-x^2-3*x-1,x,x+1,x^2+x-2]]; bsd[329,4] = 0 ; deg[329,4] = 1 ; dsc[329,4] = 7^2 ; E [329,4] = [x^3+2*x^2-x-1, [1,-x^2-x+1,x,-x-1,x^2+x-2]]; bsd[329,5] = 1 ; deg[329,5] = 19*37 ; dsc[329,5] = 2^2*37 ; E [329,5] = [x^3-x^2-5*x+1, [2,2*x,2*x^2-2*x-6,2*x^2-4,x^2-4*x-3]]; bsd[329,6] = 1 ; deg[329,6] = 5*31*37 ; dsc[329,6] = 2^4*5*51607 ; E [329,6] = [x^5-x^4-11*x^3+12*x^2+28*x-33, [1,x,-x^2+5,x^2-2,x-1]]; bsd[329,7] = 1/3 ; deg[329,7] = 13 ; dsc[329,7] = 2^2*11*1447*1609 ; E [329,7] = [x^6-12*x^4+5*x^3+36*x^2-29*x+3, [2,2*x,-2*x^3+12*x-4,2*x^2-4,x^5+x^4-9*x^3-4*x^2+20*x-3]]; bsd[330,1] = 1 ; deg[330,1] = 5 ; dsc[330,1] = 1 ; E [330,1] = [x, [1,-1,-1,1,-1]]; bsd[330,2] = 0 ; deg[330,2] = 1 ; dsc[330,2] = 1 ; E [330,2] = [x, [1,-1,-1,1,1]]; bsd[330,3] = 7 ; deg[330,3] = 5*7 ; dsc[330,3] = 1 ; E [330,3] = [x, [1,1,-1,1,-1]]; bsd[330,4] = 1 ; deg[330,4] = 3 ; dsc[330,4] = 1 ; E [330,4] = [x, [1,1,-1,1,1]]; bsd[330,5] = 1 ; deg[330,5] = 1 ; dsc[330,5] = 1 ; E [330,5] = [x, [1,1,1,1,1]]; bsd[331,1] = 0 ; deg[331,1] = 3 ; dsc[331,1] = 1 ; E [331,1] = [x, [1,-1,-2,-1,1]]; bsd[331,2] = 0 ; deg[331,2] = 53 ; dsc[331,2] = 229 ; E [331,2] = [x^3+2*x^2-4*x-7, [1,x,-x-1,x^2-2,-x^2+2]]; bsd[331,3] = 0 ; deg[331,3] = 3*53 ; dsc[331,3] = 1399*21911 ; E [331,3] = [x^7+2*x^6-6*x^5-8*x^4+11*x^3+3*x^2-5*x+1, [1,x,-x^6-3*x^5+4*x^4+13*x^3-4*x^2-9*x+3,x^2-2,4*x^6+10*x^5-19*x^4-42*x^3+23*x^2+25*x-11]]; bsd[331,4] = 1/5*11 ; deg[331,4] = 1 ; dsc[331,4] = 2^8*205493*6363601*584461573862449 ; E [331,4] = [x^16-3*x^15-19*x^14+60*x^13+136*x^12-465*x^11-448*x^10+1747*x^9+657*x^8-3241*x^7-375*x^6+2695*x^5+230*x^4-855*x^3-110*x^2+56*x+8, [41780,41780*x,-4276*x^15+23524*x^14+68316*x^13-474080*x^12-338312*x^11+3693332*x^10+175008*x^9-13891412*x^8+2998032*x^7+25579616*x^6-7116248*x^5-20655908*x^4+3524776*x^3+6029232*x^2-256088*x-281880,41780*x^2-83560,-193*x^15+3141*x^14+8817*x^13-69654*x^12-125856*x^11+604449*x^10+805006*x^9-2602543*x^8-2497031*x^7+5769595*x^6+3522077*x^5-6042977*x^4-1713460*x^3+2150027*x^2+178468*x-59228]]; bsd[332,1] = 0 ; deg[332,1] = 3^2 ; dsc[332,1] = 2^3 ; E [332,1] = [x^2+2*x-1, [1,0,x,0,-x-1]]; bsd[332,2] = 1 ; deg[332,2] = 3*29 ; dsc[332,2] = 2^2*7 ; E [332,2] = [x^2-7, [1,0,x,0,x-1]]; bsd[332,3] = 1 ; deg[332,3] = 3^3*29 ; dsc[332,3] = 7^2 ; E [332,3] = [x^3-4*x^2+3*x+1, [1,0,x,0,-2*x^2+4*x+2]]; bsd[333,1] = 0 ; deg[333,1] = 1 ; dsc[333,1] = 1 ; E [333,1] = [x, [1,-1,0,-1,2]]; bsd[333,2] = 0 ; deg[333,2] = 5 ; dsc[333,2] = 1 ; E [333,2] = [x, [1,0,0,-2,0]]; bsd[333,3] = 0 ; deg[333,3] = 3 ; dsc[333,3] = 1 ; E [333,3] = [x, [1,1,0,-1,-2]]; bsd[333,4] = 1 ; deg[333,4] = 7 ; dsc[333,4] = 1 ; E [333,4] = [x, [1,2,0,2,2]]; bsd[333,5] = 0 ; deg[333,5] = 5 ; dsc[333,5] = 2^2*37 ; E [333,5] = [x^3+3*x^2-x-5, [1,x,0,x^2-2,x^2-5]]; bsd[333,6] = 1/3 ; deg[333,6] = 3 ; dsc[333,6] = 2^10*3^3 ; E [333,6] = [x^4-6*x^2+3, [1,x,0,x^2-2,-x^3+5*x]]; bsd[333,7] = 1 ; deg[333,7] = 7 ; dsc[333,7] = 2^4*389 ; E [333,7] = [x^4-6*x^2-2*x+5, [1,x,0,x^2-2,-x^3+2*x^2+3*x-4]]; bsd[334,1] = 1 ; deg[334,1] = 1 ; dsc[334,1] = 1 ; E [334,1] = [x, [1,1,0,1,3]]; bsd[334,2] = 0 ; deg[334,2] = 5 ; dsc[334,2] = 5 ; E [334,2] = [x^2+x-1, [1,-1,x,1,-1]]; bsd[334,3] = 1 ; deg[334,3] = 3^2*7^2 ; dsc[334,3] = 2^3 ; E [334,3] = [x^2-8, [2,-2,2*x,2,-x+2]]; bsd[334,4] = 0 ; deg[334,4] = 3^2*11 ; dsc[334,4] = 5 ; E [334,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]]; bsd[334,5] = 1 ; deg[334,5] = 7^2*113 ; dsc[334,5] = 7*67 ; E [334,5] = [x^3+x^2-5*x-4, [1,-1,x,1,-x^2+x+4]]; bsd[334,6] = 11/7 ; deg[334,6] = 11 ; dsc[334,6] = 733 ; E [334,6] = [x^3-x^2-7*x+8, [1,1,x,1,-1]]; bsd[335,1] = 0 ; deg[335,1] = 1 ; dsc[335,1] = 1 ; E [335,1] = [x, [1,0,0,-2,1]]; bsd[335,2] = 0 ; deg[335,2] = 3^2 ; dsc[335,2] = 2^3 ; E [335,2] = [x^2-2, [1,x,-x,0,-1]]; bsd[335,3] = 1 ; deg[335,3] = 179 ; dsc[335,3] = 5 ; E [335,3] = [x^2-x-1, [1,x,2*x-1,x-1,-1]]; bsd[335,4] = 1/3 ; deg[335,4] = 59*179 ; dsc[335,4] = 3*29*71*83*887 ; E [335,4] = [x^7-2*x^6-12*x^5+21*x^4+42*x^3-52*x^2-39*x-6, [1,x,-2*x^6+x^5+23*x^4-8*x^3-66*x^2+12*x+10,x^2-2,-1]]; bsd[335,5] = 3^4/17 ; deg[335,5] = 3^4 ; dsc[335,5] = 2^2*26393*6262079*23057641 ; E [335,5] = [x^11-18*x^9+2*x^8+114*x^7-24*x^6-306*x^5+86*x^4+332*x^3-109*x^2-114*x+46, [5261,5261*x,43*x^10-84*x^9-1344*x^8+1488*x^7+13496*x^6-9411*x^5-54847*x^4+24218*x^3+84666*x^2-17145*x-28424,5261*x^2-10522,5261]]; bsd[336,1] = 0 ; deg[336,1] = 1 ; dsc[336,1] = 1 ; E [336,1] = [x, [1,0,-1,0,-2]]; bsd[336,2] = 1 ; deg[336,2] = 3 ; dsc[336,2] = 1 ; E [336,2] = [x, [1,0,-1,0,0]]; bsd[336,3] = 1 ; deg[336,3] = 1 ; dsc[336,3] = 1 ; E [336,3] = [x, [1,0,-1,0,2]]; bsd[336,4] = 1 ; deg[336,4] = 3 ; dsc[336,4] = 1 ; E [336,4] = [x, [1,0,1,0,-2]]; bsd[336,5] = 3 ; deg[336,5] = 3 ; dsc[336,5] = 1 ; E [336,5] = [x, [1,0,1,0,2]]; bsd[336,6] = 1 ; deg[336,6] = 3 ; dsc[336,6] = 1 ; E [336,6] = [x, [1,0,1,0,4]]; bsd[337,1] = 0 ; deg[337,1] = 1 ; dsc[337,1] = 113*2791*747945736667 ; E [337,1] = [x^12+6*x^11+x^10-54*x^9-76*x^8+135*x^7+289*x^6-97*x^5-392*x^4-28*x^3+201*x^2+36*x-27, [27,27*x,-41*x^11-207*x^10+148*x^9+2037*x^8+1208*x^7-6366*x^6-5621*x^5+8552*x^4+7303*x^3-5185*x^2-2844*x+1116,27*x^2-54,76*x^11+360*x^10-356*x^9-3552*x^8-1393*x^7+11103*x^6+7618*x^5-14677*x^4-9914*x^3+8360*x^2+3798*x-1638]]; bsd[337,2] = 1/7 ; deg[337,2] = 1 ; dsc[337,2] = 2^4*593*2963615537*4122851467451 ; E [337,2] = [x^15-3*x^14-18*x^13+56*x^12+123*x^11-402*x^10-400*x^9+1395*x^8+643*x^7-2406*x^6-496*x^5+1843*x^4+200*x^3-388*x^2-69*x+1, [3236,3236*x,-3898*x^14+5280*x^13+79908*x^12-90208*x^11-644046*x^10+562758*x^9+2571518*x^8-1535848*x^7-5214430*x^6+1653582*x^5+4746334*x^4-273200*x^3-1150808*x^2-141708*x+9182,3236*x^2-6472,1942*x^14-3816*x^13-37056*x^12+66196*x^11+274450*x^10-425482*x^9-996046*x^8+1239704*x^7+1830210*x^6-1595610*x^5-1522558*x^4+706972*x^3+341584*x^2-43748*x-7070]]; bsd[338,1] = 0 ; deg[338,1] = 3*7 ; dsc[338,1] = 1 ; E [338,1] = [x, [1,-1,-3,1,1]]; bsd[338,2] = 1 ; deg[338,2] = 3*13 ; dsc[338,2] = 1 ; E [338,2] = [x, [1,-1,-1,1,3]]; bsd[338,3] = 0 ; deg[338,3] = 3 ; dsc[338,3] = 1 ; E [338,3] = [x, [1,-1,0,1,1]]; bsd[338,4] = 0 ; deg[338,4] = 3 ; dsc[338,4] = 1 ; E [338,4] = [x, [1,1,-1,1,-3]]; bsd[338,5] = 1 ; deg[338,5] = 3*13 ; dsc[338,5] = 1 ; E [338,5] = [x, [1,1,0,1,-1]]; bsd[338,6] = 1 ; deg[338,6] = 7 ; dsc[338,6] = 1 ; E [338,6] = [x, [1,1,1,1,3]]; bsd[338,7] = 1 ; deg[338,7] = 7*13*41 ; dsc[338,7] = 7^2 ; E [338,7] = [x^3-3*x^2-4*x+13, [1,-1,x,1,2*x^2-12]]; bsd[338,8] = 41/13 ; deg[338,8] = 7*13*41 ; dsc[338,8] = 7^2 ; E [338,8] = [x^3-3*x^2-4*x+13, [1,1,x,1,-2*x^2+12]]; bsd[339,1] = 0 ; deg[339,1] = 3 ; dsc[339,1] = 1 ; E [339,1] = [x, [1,-2,1,2,-3]]; bsd[339,2] = 0 ; deg[339,2] = 3^2 ; dsc[339,2] = 1 ; E [339,2] = [x, [1,0,1,-2,-1]]; bsd[339,3] = 1 ; deg[339,3] = 3^2*7 ; dsc[339,3] = 1 ; E [339,3] = [x, [1,2,-1,2,2]]; bsd[339,4] = 1 ; deg[339,4] = 7*71 ; dsc[339,4] = 2^3 ; E [339,4] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-1]]; bsd[339,5] = 0 ; deg[339,5] = 7 ; dsc[339,5] = 2^3 ; E [339,5] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[339,6] = 13 ; deg[339,6] = 13^2 ; dsc[339,6] = 17 ; E [339,6] = [x^2-3*x-2, [1,2,1,2,x]]; bsd[339,7] = 13/19 ; deg[339,7] = 13^2 ; dsc[339,7] = 2^5*8297 ; E [339,7] = [x^5-7*x^3-4*x^2+6*x+2, [1,x,1,x^2-2,-x^4+x^3+5*x^2-x-1]]; bsd[339,8] = 1 ; deg[339,8] = 11^2*71 ; dsc[339,8] = 2^2*470621 ; E [339,8] = [x^5-x^4-10*x^3+6*x^2+22*x+4, [2,2*x,-2,2*x^2-4,-2*x^3-2*x^2+14*x+10]]; bsd[340,1] = 0 ; deg[340,1] = 3 ; dsc[340,1] = 1 ; E [340,1] = [x, [1,0,0,0,-1]]; bsd[340,2] = 3 ; deg[340,2] = 3^3 ; dsc[340,2] = 2^4*101 ; E [340,2] = [x^3-8*x+4, [1,0,x,0,1]]; bsd[341,1] = 0 ; deg[341,1] = 5 ; dsc[341,1] = 5 ; E [341,1] = [x^2-x-1, [1,x,-1,x-1,-x-1]]; bsd[341,2] = 0 ; deg[341,2] = 1 ; dsc[341,2] = 5^2*89 ; E [341,2] = [x^4+2*x^3-5*x^2-6*x+4, [2,-x^2-x+2,2*x,x^2+x-4,x^3+x^2-6*x-2]]; bsd[341,3] = 1/3 ; deg[341,3] = 7^2 ; dsc[341,3] = 2^6*14444130109 ; E [341,3] = [x^8-x^7-14*x^6+11*x^5+60*x^4-31*x^3-74*x^2+5*x+3, [4,4*x,x^7-x^6-13*x^5+10*x^4+51*x^3-25*x^2-55*x+4,4*x^2-8,-2*x^4+2*x^3+12*x^2-10*x-6]]; bsd[341,4] = 1 ; deg[341,4] = 3*13 ; dsc[341,4] = 2^6*3*151*1121599*344460847 ; E [341,4] = [x^11-x^10-20*x^9+20*x^8+141*x^7-135*x^6-421*x^5+347*x^4+530*x^3-288*x^2-239*x+17, [88,88*x,-7*x^10+2*x^9+132*x^8-30*x^7-867*x^6+134*x^5+2301*x^4-138*x^3-2058*x^2-136*x+171,88*x^2-176,-x^10-6*x^9+22*x^8+90*x^7-171*x^6-402*x^5+555*x^4+458*x^3-668*x^2+188*x+191]]; bsd[342,1] = 0 ; deg[342,1] = 1 ; dsc[342,1] = 1 ; E [342,1] = [x, [1,-1,0,1,-2]]; bsd[342,2] = 1 ; deg[342,2] = 3*5 ; dsc[342,2] = 1 ; E [342,2] = [x, [1,-1,0,1,-2]]; bsd[342,3] = 0 ; deg[342,3] = 3 ; dsc[342,3] = 1 ; E [342,3] = [x, [1,-1,0,1,0]]; bsd[342,4] = 1 ; deg[342,4] = 3*5 ; dsc[342,4] = 1 ; E [342,4] = [x, [1,-1,0,1,4]]; bsd[342,5] = 3 ; deg[342,5] = 3*5 ; dsc[342,5] = 1 ; E [342,5] = [x, [1,1,0,1,0]]; bsd[342,6] = 1 ; deg[342,6] = 5 ; dsc[342,6] = 1 ; E [342,6] = [x, [1,1,0,1,0]]; bsd[342,7] = 1 ; deg[342,7] = 3 ; dsc[342,7] = 1 ; E [342,7] = [x, [1,1,0,1,2]]; bsd[343,1] = 0 ; deg[343,1] = 7^2 ; dsc[343,1] = 7^2 ; E [343,1] = [x^3+4*x^2+3*x-1, [1,x,0,x^2-2,0]]; bsd[343,2] = 1 ; deg[343,2] = 7^2*29 ; dsc[343,2] = 7^2 ; E [343,2] = [x^3-3*x^2-4*x+13, [1,x,0,x^2-2,0]]; bsd[343,3] = 0 ; deg[343,3] = 7^2 ; dsc[343,3] = 7^4*13*41 ; E [343,3] = [x^6+5*x^5-x^4-34*x^3-28*x^2+49*x+49, [7,9*x^5+24*x^4-65*x^3-159*x^2+105*x+203,7*x,4*x^5+13*x^4-25*x^3-80*x^2+35*x+91,-7*x^5-21*x^4+49*x^3+140*x^2-84*x-196]]; bsd[343,4] = 1/7 ; deg[343,4] = 7^5 ; dsc[343,4] = 7^4*13*41 ; E [343,4] = [x^6-5*x^5-x^4+34*x^3-28*x^2-49*x+49, [7,-9*x^5+24*x^4+65*x^3-159*x^2-105*x+203,7*x,-4*x^5+13*x^4+25*x^3-80*x^2-35*x+91,-7*x^5+21*x^4+49*x^3-140*x^2-84*x+196]]; bsd[343,5] = 1/7 ; deg[343,5] = 7^3*29 ; dsc[343,5] = 2^9*7^4*29 ; E [343,5] = [x^6-20*x^4+124*x^2-232, [4,-x^4+14*x^2-40,4*x,-2*x^4+26*x^2-72,x^5-14*x^3+44*x]]; bsd[344,1] = 0 ; deg[344,1] = 1 ; dsc[344,1] = 1 ; E [344,1] = [x, [1,0,0,0,-2]]; bsd[344,2] = 0 ; deg[344,2] = 1 ; dsc[344,2] = 2^2*3 ; E [344,2] = [x^2+2*x-2, [1,0,x,0,-x-2]]; bsd[344,3] = 1 ; deg[344,3] = 1 ; dsc[344,3] = 229 ; E [344,3] = [x^3-3*x^2-x+4, [1,0,x,0,-x^2+2*x+2]]; bsd[344,4] = 1 ; deg[344,4] = 1 ; dsc[344,4] = 2^2*1999567 ; E [344,4] = [x^5+x^4-13*x^3-8*x^2+42*x+8, [2,0,2*x,0,2*x^3-14*x+4]]; bsd[345,1] = 0 ; deg[345,1] = 3 ; dsc[345,1] = 1 ; E [345,1] = [x, [1,-2,1,2,1]]; bsd[345,2] = 1 ; deg[345,2] = 5 ; dsc[345,2] = 1 ; E [345,2] = [x, [1,-1,1,-1,-1]]; bsd[345,3] = 1 ; deg[345,3] = 5 ; dsc[345,3] = 1 ; E [345,3] = [x, [1,0,-1,-2,-1]]; bsd[345,4] = 0 ; deg[345,4] = 1 ; dsc[345,4] = 1 ; E [345,4] = [x, [1,0,1,-2,-1]]; bsd[345,5] = 5 ; deg[345,5] = 3*5^2 ; dsc[345,5] = 1 ; E [345,5] = [x, [1,1,1,-1,-1]]; bsd[345,6] = 1 ; deg[345,6] = 3 ; dsc[345,6] = 1 ; E [345,6] = [x, [1,2,-1,2,1]]; bsd[345,7] = 0 ; deg[345,7] = 3*11 ; dsc[345,7] = 2^2*3 ; E [345,7] = [x^2+2*x-2, [1,x,-1,-2*x,1]]; bsd[345,8] = 0 ; deg[345,8] = 3^2 ; dsc[345,8] = 2^3 ; E [345,8] = [x^2-2, [1,x,-1,0,-1]]; bsd[345,9] = 5/3 ; deg[345,9] = 5^3 ; dsc[345,9] = 2^3*3 ; E [345,9] = [x^2-6, [1,x,1,4,-1]]; bsd[345,10] = 1 ; deg[345,10] = 11 ; dsc[345,10] = 2^2*79 ; E [345,10] = [x^3+x^2-4*x-2, [1,x,1,x^2-2,1]]; bsd[346,1] = 0 ; deg[346,1] = 7 ; dsc[346,1] = 1 ; E [346,1] = [x, [1,1,-1,1,-3]]; bsd[346,2] = 1 ; deg[346,2] = 7 ; dsc[346,2] = 1 ; E [346,2] = [x, [1,1,1,1,-1]]; bsd[346,3] = 1 ; deg[346,3] = 7*67 ; dsc[346,3] = 229 ; E [346,3] = [x^3-x^2-6*x+4, [2,-2,2*x,2,-x^2+x+4]]; bsd[346,4] = 0 ; deg[346,4] = 31 ; dsc[346,4] = 2777 ; E [346,4] = [x^4+2*x^3-5*x^2-5*x-1, [1,-1,x,1,-3*x^3-5*x^2+16*x+7]]; bsd[346,5] = 79/29 ; deg[346,5] = 7*79 ; dsc[346,5] = 2075621 ; E [346,5] = [x^5+3*x^4-8*x^3-21*x^2+18*x+28, [2,2,2*x,2,-x^4-x^3+6*x^2+x]]; bsd[347,1] = 0 ; deg[347,1] = 7 ; dsc[347,1] = 1 ; E [347,1] = [x, [1,-2,1,2,0]]; bsd[347,2] = 0 ; deg[347,2] = 19 ; dsc[347,2] = 5 ; E [347,2] = [x^2+x-1, [1,1,x,-1,-2*x-2]]; bsd[347,3] = 0 ; deg[347,3] = 7*19 ; dsc[347,3] = 331*479*617 ; E [347,3] = [x^7+2*x^6-7*x^5-15*x^4+6*x^3+22*x^2+9*x+1, [1,x,-x^6-3*x^5+7*x^4+23*x^3-7*x^2-35*x-8,x^2-2,-x^6-x^5+8*x^4+7*x^3-13*x^2-10*x-1]]; bsd[347,4] = 1/173 ; deg[347,4] = 1 ; dsc[347,4] = 2^7*349*1797330450291217*918291275915301361 ; E [347,4] = [x^19-30*x^17+x^16+374*x^15-21*x^14-2509*x^13+166*x^12+9794*x^11-586*x^10-22435*x^9+749*x^8+28885*x^7+329*x^6-18752*x^5-878*x^4+4788*x^3-64*x^2-352*x+32, [4704816,4704816*x,2368973*x^18+4202164*x^17-63214018*x^16-110092731*x^15+679595698*x^14+1165084067*x^13-3751578757*x^12-6367003458*x^11+11162952046*x^10+19024606398*x^9-16906363175*x^8-30144731499*x^7+10241331209*x^6+22186663277*x^5-341241168*x^4-5287650274*x^3-157668644*x^2+330801672*x-13694144,4704816*x^2-9409632,-3922172*x^18-7142908*x^17+104986096*x^16+187075956*x^15-1134802396*x^14-1979205548*x^13+6325871704*x^12+10819031484*x^11-19184640592*x^10-32397813168*x^9+30341413484*x^8+51731713176*x^7-21098505200*x^6-39018148856*x^5+3930099180*x^4+10149008056*x^3-623105848*x^2-698144832*x+75070112]]; bsd[348,1] = 1 ; deg[348,1] = 3^2*5 ; dsc[348,1] = 1 ; E [348,1] = [x, [1,0,-1,0,-2]]; bsd[348,2] = 0 ; deg[348,2] = 3 ; dsc[348,2] = 1 ; E [348,2] = [x, [1,0,-1,0,0]]; bsd[348,3] = 0 ; deg[348,3] = 3*7 ; dsc[348,3] = 1 ; E [348,3] = [x, [1,0,1,0,-4]]; bsd[348,4] = 1 ; deg[348,4] = 3 ; dsc[348,4] = 1 ; E [348,4] = [x, [1,0,1,0,2]]; bsd[349,1] = 0 ; deg[349,1] = 1 ; dsc[349,1] = 13*1118857*72318613 ; E [349,1] = [x^11+5*x^10-x^9-35*x^8-24*x^7+80*x^6+66*x^5-77*x^4-56*x^3+31*x^2+15*x-4, [2,2*x,-3*x^10-13*x^9+10*x^8+91*x^7+14*x^6-205*x^5-35*x^4+181*x^3-11*x^2-51*x+14,2*x^2-4,x^9+6*x^8+4*x^7-33*x^6-49*x^5+44*x^4+87*x^3-14*x^2-39*x]]; bsd[349,2] = 1/29 ; deg[349,2] = 1 ; dsc[349,2] = 2^6*103*6771977049413*1313981654817031 ; E [349,2] = [x^17-5*x^16-14*x^15+102*x^14+26*x^13-792*x^12+474*x^11+2887*x^10-3021*x^9-4835*x^8+6673*x^7+2880*x^6-5373*x^5-164*x^4+1075*x^3+75*x^2-41*x-4, [13854332,13854332*x,2860032*x^16-15887372*x^15-33177138*x^14+317730102*x^13-66092796*x^12-2386732742*x^11+2451331270*x^10+8163042720*x^9-12663967038*x^8-11641298456*x^7+25913718850*x^6+2710729868*x^5-19542794682*x^4+3782795730*x^3+3257805434*x^2-347417714*x-106918476,13854332*x^2-27708664,954477*x^16-6048190*x^15-9436362*x^14+122225562*x^13-56644828*x^12-933243792*x^11+1102309566*x^10+3290717187*x^9-5364723646*x^8-5084510469*x^7+10918796292*x^6+2175158294*x^5-8563127797*x^4+550576315*x^3+1738656858*x^2+84175177*x-60860676]]; bsd[350,1] = 0 ; deg[350,1] = 3 ; dsc[350,1] = 1 ; E [350,1] = [x, [1,-1,-1,1,0]]; bsd[350,2] = 1 ; deg[350,2] = 3 ; dsc[350,2] = 1 ; E [350,2] = [x, [1,-1,0,1,0]]; bsd[350,3] = 1 ; deg[350,3] = 3*5*11 ; dsc[350,3] = 1 ; E [350,3] = [x, [1,-1,3,1,0]]; bsd[350,4] = 0 ; deg[350,4] = 3*11 ; dsc[350,4] = 1 ; E [350,4] = [x, [1,1,-3,1,0]]; bsd[350,5] = 1 ; deg[350,5] = 3*5 ; dsc[350,5] = 1 ; E [350,5] = [x, [1,1,1,1,0]]; bsd[350,6] = 1 ; deg[350,6] = 3 ; dsc[350,6] = 1 ; E [350,6] = [x, [1,1,2,1,0]]; bsd[350,7] = 1 ; deg[350,7] = 5^2 ; dsc[350,7] = 2^3*3 ; E [350,7] = [x^2-6, [1,-1,x,1,0]]; bsd[350,8] = 5 ; deg[350,8] = 5^2 ; dsc[350,8] = 2^3*3 ; E [350,8] = [x^2-6, [1,1,x,1,0]]; bsd[351,1] = 0 ; deg[351,1] = 3^2 ; dsc[351,1] = 5 ; E [351,1] = [x^2+x-1, [1,x,0,-x-1,x-1]]; bsd[351,2] = 0 ; deg[351,2] = 3^2 ; dsc[351,2] = 13 ; E [351,2] = [x^2+x-3, [1,x,0,-x+1,-x-3]]; bsd[351,3] = 1 ; deg[351,3] = 3^4 ; dsc[351,3] = 5 ; E [351,3] = [x^2-x-1, [1,x,0,x-1,x+1]]; bsd[351,4] = 1/3 ; deg[351,4] = 3^3 ; dsc[351,4] = 13 ; E [351,4] = [x^2-x-3, [1,x,0,x+1,-x+3]]; bsd[351,5] = 1 ; deg[351,5] = 3^5 ; dsc[351,5] = 2^4*3*37^2 ; E [351,5] = [x^4-7*x^2+3, [1,x,0,x^2-2,-x^3+6*x]]; bsd[351,6] = 1 ; deg[351,6] = 3^6*19 ; dsc[351,6] = 2^4*5^2*19 ; E [351,6] = [x^4-9*x^2+19, [1,x,0,x^2-2,x^3-4*x]]; bsd[352,1] = 0 ; deg[352,1] = 3 ; dsc[352,1] = 1 ; E [352,1] = [x, [1,0,-3,0,1]]; bsd[352,2] = 0 ; deg[352,2] = 1 ; dsc[352,2] = 1 ; E [352,2] = [x, [1,0,-1,0,-3]]; bsd[352,3] = 0 ; deg[352,3] = 1 ; dsc[352,3] = 1 ; E [352,3] = [x, [1,0,-1,0,1]]; bsd[352,4] = 0 ; deg[352,4] = 1 ; dsc[352,4] = 1 ; E [352,4] = [x, [1,0,1,0,-3]]; bsd[352,5] = 1 ; deg[352,5] = 1 ; dsc[352,5] = 1 ; E [352,5] = [x, [1,0,1,0,1]]; bsd[352,6] = 1 ; deg[352,6] = 3 ; dsc[352,6] = 1 ; E [352,6] = [x, [1,0,3,0,1]]; bsd[352,7] = 1 ; deg[352,7] = 1 ; dsc[352,7] = 17 ; E [352,7] = [x^2+x-4, [1,0,x,0,x+2]]; bsd[352,8] = 1 ; deg[352,8] = 1 ; dsc[352,8] = 17 ; E [352,8] = [x^2-x-4, [1,0,x,0,-x+2]]; bsd[353,1] = 1 ; deg[353,1] = 3 ; dsc[353,1] = 1 ; E [353,1] = [x, [1,-1,2,-1,2]]; bsd[353,2] = 1 ; deg[353,2] = 127 ; dsc[353,2] = 229 ; E [353,2] = [x^3-x^2-6*x+4, [2,2*x,-x^2+x+6,2*x^2-4,-2*x+2]]; bsd[353,3] = 0 ; deg[353,3] = 1 ; dsc[353,3] = 114641*7779730837 ; E [353,3] = [x^11+5*x^10-x^9-36*x^8-28*x^7+82*x^6+87*x^5-65*x^4-71*x^3+21*x^2+14*x-4, [2,2*x,-5*x^10-21*x^9+19*x^8+154*x^7+30*x^6-354*x^5-153*x^4+259*x^3+99*x^2-39*x-6,2*x^2-4,6*x^10+28*x^9-12*x^8-198*x^7-116*x^6+426*x^5+372*x^4-264*x^3-268*x^2+16*x+34]]; bsd[353,4] = 1/11 ; deg[353,4] = 3*127 ; dsc[353,4] = 2^4*5*551801*12611821*24314514437 ; E [353,4] = [x^14-4*x^13-14*x^12+71*x^11+47*x^10-452*x^9+101*x^8+1251*x^7-740*x^6-1488*x^5+1096*x^4+600*x^3-410*x^2-42*x-1, [8,8*x,x^13-7*x^12-9*x^11+130*x^10-55*x^9-855*x^8+810*x^7+2405*x^6-2763*x^5-2871*x^4+3453*x^3+1145*x^2-1245*x-75,8*x^2-16,14*x^13-50*x^12-206*x^11+884*x^10+830*x^9-5586*x^8+356*x^7+15238*x^6-7554*x^5-17602*x^4+12230*x^3+6526*x^2-4694*x-242]]; bsd[354,1] = 0 ; deg[354,1] = 3*5 ; dsc[354,1] = 1 ; E [354,1] = [x, [1,-1,-1,1,0]]; bsd[354,2] = 1 ; deg[354,2] = 3 ; dsc[354,2] = 1 ; E [354,2] = [x, [1,-1,-1,1,2]]; bsd[354,3] = 1/3 ; deg[354,3] = 5 ; dsc[354,3] = 1 ; E [354,3] = [x, [1,-1,1,1,0]]; bsd[354,4] = 0 ; deg[354,4] = 7 ; dsc[354,4] = 1 ; E [354,4] = [x, [1,1,-1,1,-4]]; bsd[354,5] = 1 ; deg[354,5] = 1 ; dsc[354,5] = 1 ; E [354,5] = [x, [1,1,-1,1,0]]; bsd[354,6] = 11 ; deg[354,6] = 3^2*11 ; dsc[354,6] = 1 ; E [354,6] = [x, [1,1,-1,1,4]]; bsd[354,7] = 5 ; deg[354,7] = 5^2*11 ; dsc[354,7] = 2^2*11 ; E [354,7] = [x^2-2*x-10, [1,-1,1,1,x]]; bsd[354,8] = 19 ; deg[354,8] = 19*29 ; dsc[354,8] = 2^2*79 ; E [354,8] = [x^3-2*x^2-6*x+8, [2,2,2,2,2*x]]; bsd[355,1] = 1/3 ; deg[355,1] = 1 ; dsc[355,1] = 1 ; E [355,1] = [x, [1,0,-2,-2,1]]; bsd[355,2] = 0 ; deg[355,2] = 7*61 ; dsc[355,2] = 19*103 ; E [355,2] = [x^4+4*x^3+2*x^2-5*x-3, [1,x,-x^3-3*x^2+2,x^2-2,1]]; bsd[355,3] = 0 ; deg[355,3] = 1 ; dsc[355,3] = 5^2*29 ; E [355,3] = [x^4+2*x^3-2*x^2-3*x+1, [1,x,-x^3-x^2+2*x,x^2-2,-1]]; bsd[355,4] = 1 ; deg[355,4] = 1 ; dsc[355,4] = 62581037 ; E [355,4] = [x^6-3*x^5-6*x^4+21*x^3+4*x^2-35*x+16, [1,x,-x^3+x^2+4*x-2,x^2-2,1]]; bsd[355,5] = 1 ; deg[355,5] = 103*359 ; dsc[355,5] = 2^7*933591331 ; E [355,5] = [x^8-4*x^7-5*x^6+31*x^5-3*x^4-57*x^3+5*x^2+32*x+8, [2,2*x,2*x^7-6*x^6-12*x^5+42*x^4+6*x^3-56*x^2+4*x+12,2*x^2-4,-2]]; bsd[356,1] = 0 ; deg[356,1] = 3 ; dsc[356,1] = 1 ; E [356,1] = [x, [1,0,-1,0,-1]]; bsd[356,2] = 3 ; deg[356,2] = 3^6 ; dsc[356,2] = 2^7*3*4079*31547 ; E [356,2] = [x^7-x^6-18*x^5+18*x^4+93*x^3-95*x^2-126*x+134, [73,0,73*x,0,-46*x^6-6*x^5+799*x^4+126*x^3-3888*x^2-552*x+4734]]; bsd[357,1] = 0 ; deg[357,1] = 7 ; dsc[357,1] = 1 ; E [357,1] = [x, [1,-2,1,2,-3]]; bsd[357,2] = 1 ; deg[357,2] = 17 ; dsc[357,2] = 1 ; E [357,2] = [x, [1,0,-1,-2,1]]; bsd[357,3] = 0 ; deg[357,3] = 1 ; dsc[357,3] = 1 ; E [357,3] = [x, [1,0,-1,-2,1]]; bsd[357,4] = 1 ; deg[357,4] = 3 ; dsc[357,4] = 1 ; E [357,4] = [x, [1,2,1,2,1]]; bsd[357,5] = 0 ; deg[357,5] = 3*47 ; dsc[357,5] = 2^2*3 ; E [357,5] = [x^2+2*x-2, [1,x,1,-2*x,-x-3]]; bsd[357,6] = 0 ; deg[357,6] = 1 ; dsc[357,6] = 2^3 ; E [357,6] = [x^2-2, [1,x,-1,0,-x-1]]; bsd[357,7] = 1 ; deg[357,7] = 1 ; dsc[357,7] = 2^2*79 ; E [357,7] = [x^3-x^2-4*x+2, [1,x,1,x^2-2,-x+1]]; bsd[357,8] = 1 ; deg[357,8] = 223 ; dsc[357,8] = 2^8*113 ; E [357,8] = [x^4-2*x^3-5*x^2+8*x+2, [1,x,-1,x^2-2,-x^3+x^2+5*x-3]]; bsd[358,1] = 1 ; deg[358,1] = 3*17 ; dsc[358,1] = 1 ; E [358,1] = [x, [1,-1,2,1,0]]; bsd[358,2] = 1/3 ; deg[358,2] = 11 ; dsc[358,2] = 1 ; E [358,2] = [x, [1,1,-2,1,0]]; bsd[358,3] = 1 ; deg[358,3] = 3*5*17 ; dsc[358,3] = 3*7 ; E [358,3] = [x^2-x-5, [1,-1,x,1,3]]; bsd[358,4] = 0 ; deg[358,4] = 79 ; dsc[358,4] = 5 ; E [358,4] = [x^2+3*x+1, [1,1,x,1,-2*x-5]]; bsd[358,5] = 29 ; deg[358,5] = 11^2*29 ; dsc[358,5] = 5 ; E [358,5] = [x^2-x-11, [3,3,-x+5,3,3*x]]; bsd[358,6] = 1/5 ; deg[358,6] = 11 ; dsc[358,6] = 5 ; E [358,6] = [x^2-3*x+1, [1,1,x,1,1]]; bsd[358,7] = 0 ; deg[358,7] = 13 ; dsc[358,7] = 17^3 ; E [358,7] = [x^4+2*x^3-7*x^2-8*x-1, [2,-2,2*x,2,x^3+x^2-9*x-6]]; bsd[359,1] = 0 ; deg[359,1] = 1 ; dsc[359,1] = 1 ; E [359,1] = [x, [1,-1,0,-1,1]]; bsd[359,2] = 0 ; deg[359,2] = 1 ; dsc[359,2] = 1 ; E [359,2] = [x, [1,1,-2,-1,1]]; bsd[359,3] = 0 ; deg[359,3] = 1 ; dsc[359,3] = 2777 ; E [359,3] = [x^4+2*x^3-3*x^2-5*x+1, [1,x,-x^3-x^2+3*x+1,x^2-2,-x-2]]; bsd[359,4] = 1/179 ; deg[359,4] = 1 ; dsc[359,4] = 2^4*3^4*16512254293*64542630435970307*2171776478013633068927 ; E [359,4] = [x^24-x^23-39*x^22+38*x^21+658*x^20-619*x^19-6300*x^18+5654*x^17+37740*x^16-31780*x^15-147096*x^14+113400*x^13+376092*x^12-255412*x^11-621508*x^10+349080*x^9+638532*x^8-266744*x^7-378124*x^6+98609*x^5+110695*x^4-14509*x^3-11972*x^2+780*x+381, [235747603462801695253721,235747603462801695253721*x,-1602259971281292311414*x^23+2535070199865138113860*x^22+58364780315011524436024*x^21-87316532202790041766744*x^20-914060976817924221583118*x^19+1264665868878600575782134*x^18+8088919438943353164191194*x^17-10018516587867869759577110*x^16-44752146629281025763159134*x^15+47225317260747136454940921*x^14+161849990574404999407680046*x^13-134535096935674829898945662*x^12-388545929698346391432449898*x^11+222408874791265956416071774*x^10+613906725607214891686644074*x^9-183651607254654342889069074*x^8-613267952857175869139934302*x^7+28535102178044191495017546*x^6+351940465805991912886831381*x^5+51026380098522174374104544*x^4-93412339482037596682677712*x^3-21883690704068331298381066*x^2+6227221811979044886354542*x+1026953395498779305597052,235747603462801695253721*x^2-471495206925603390507442,2845845013662546464739*x^23-2447792018482001570617*x^22-101596799773264261973636*x^21+76404212950225242413899*x^20+1547314517788223949714671*x^19-958236983994120443104695*x^18-13158464440448911424043463*x^17+6045500883849570828566849*x^16+68676383557081059207753001*x^15-18699558052070012014843887*x^14-227537807635293992915686339*x^13+14267359498739287105320709*x^12+477170573176822561669772612*x^11+73651738052628121096722953*x^10-607737947281787201499665289*x^9-210728066092986939219944726*x^8+422157970536179111909121713*x^7+191589646943914323560838765*x^6-123363657169095027209115171*x^5-38101634714152134188816408*x^4+10517562601958539988713856*x^3-10255503074075539732514609*x^2-1342706028625085600442226*x+969740879854942598224584]]; bsd[360,1] = 0 ; deg[360,1] = 1 ; dsc[360,1] = 1 ; E [360,1] = [x, [1,0,0,0,-1]]; bsd[360,2] = 1 ; deg[360,2] = 1 ; dsc[360,2] = 1 ; E [360,2] = [x, [1,0,0,0,-1]]; bsd[360,3] = 1 ; deg[360,3] = 1 ; dsc[360,3] = 1 ; E [360,3] = [x, [1,0,0,0,-1]]; bsd[360,4] = 1 ; deg[360,4] = 3 ; dsc[360,4] = 1 ; E [360,4] = [x, [1,0,0,0,1]]; bsd[360,5] = 1 ; deg[360,5] = 1 ; dsc[360,5] = 1 ; E [360,5] = [x, [1,0,0,0,1]]; bsd[361,1] = 0 ; deg[361,1] = 5 ; dsc[361,1] = 1 ; E [361,1] = [x, [1,0,0,-2,-1]]; bsd[361,2] = 1 ; deg[361,2] = 3*5 ; dsc[361,2] = 1 ; E [361,2] = [x, [1,0,2,-2,3]]; bsd[361,3] = 1 ; deg[361,3] = 11*19 ; dsc[361,3] = 5 ; E [361,3] = [x^2+x-1, [1,x,-x-2,-x-1,-2*x]]; bsd[361,4] = 1 ; deg[361,4] = 5*11*19 ; dsc[361,4] = 5 ; E [361,4] = [x^2-x-1, [1,2*x-1,-2,3,x]]; bsd[361,5] = 1 ; deg[361,5] = 5*11 ; dsc[361,5] = 5 ; E [361,5] = [x^2-x-1, [1,-2*x+1,2,3,x]]; bsd[361,6] = 1/5 ; deg[361,6] = 11 ; dsc[361,6] = 5 ; E [361,6] = [x^2-x-1, [1,x,-x+2,x-1,2*x]]; bsd[361,7] = 0 ; deg[361,7] = 3*19 ; dsc[361,7] = 3^4 ; E [361,7] = [x^3+3*x^2-3, [1,x,x^2+2*x-2,x^2-2,-x^2-2*x]]; bsd[361,8] = 1 ; deg[361,8] = 3*19^2 ; dsc[361,8] = 3^4 ; E [361,8] = [x^3-3*x^2+3, [1,x,-x^2+2*x+2,x^2-2,-x^2+2*x]]; bsd[361,9] = 0 ; deg[361,9] = 5*19 ; dsc[361,9] = 2^4*5^3 ; E [361,9] = [x^4-5*x^2+5, [1,x,-x,x^2-2,-2*x^2+4]]; bsd[362,1] = 0 ; deg[362,1] = 5 ; dsc[362,1] = 1 ; E [362,1] = [x, [1,-1,-1,1,2]]; bsd[362,2] = 0 ; deg[362,2] = 7 ; dsc[362,2] = 1 ; E [362,2] = [x, [1,1,-1,1,-2]]; bsd[362,3] = 0 ; deg[362,3] = 5*29 ; dsc[362,3] = 5 ; E [362,3] = [x^2+2*x-4, [2,-2,2*x,2,-x-2]]; bsd[362,4] = 23/7 ; deg[362,4] = 17*23 ; dsc[362,4] = 2^3 ; E [362,4] = [x^2-2*x-1, [1,1,x,1,-x+3]]; bsd[362,5] = 1/3 ; deg[362,5] = 3*797 ; dsc[362,5] = 2^3*17*6359 ; E [362,5] = [x^5-4*x^4-2*x^3+17*x^2-x-17, [1,-1,x,1,x^4-3*x^3-3*x^2+8*x+3]]; bsd[362,6] = 17/13 ; deg[362,6] = 17^2 ; dsc[362,6] = 5*1134769 ; E [362,6] = [x^5-13*x^3+3*x^2+38*x-28, [2,2,2*x,2,-x^4+9*x^2+x-10]]; bsd[363,1] = 1 ; deg[363,1] = 3^2*11 ; dsc[363,1] = 1 ; E [363,1] = [x, [1,-2,-1,2,4]]; bsd[363,2] = 1 ; deg[363,2] = 3^2*5 ; dsc[363,2] = 1 ; E [363,2] = [x, [1,-1,-1,-1,-2]]; bsd[363,3] = 1 ; deg[363,3] = 3^2 ; dsc[363,3] = 1 ; E [363,3] = [x, [1,2,-1,2,4]]; bsd[363,4] = 0 ; deg[363,4] = 5*11 ; dsc[363,4] = 5 ; E [363,4] = [x^2+3*x+1, [1,x,-1,-3*x-3,x+2]]; bsd[363,5] = 0 ; deg[363,5] = 5 ; dsc[363,5] = 5 ; E [363,5] = [x^2+x-1, [1,x,1,-x-1,-x-2]]; bsd[363,6] = 0 ; deg[363,6] = 3*11 ; dsc[363,6] = 2^2*3 ; E [363,6] = [x^2-3, [1,x,-1,1,-3]]; bsd[363,7] = 5 ; deg[363,7] = 3^2*5*11 ; dsc[363,7] = 2^2*5 ; E [363,7] = [x^2-5, [1,x,1,3,2]]; bsd[363,8] = 1 ; deg[363,8] = 5*11^2 ; dsc[363,8] = 5 ; E [363,8] = [x^2-x-1, [1,x,1,x-1,x-2]]; bsd[363,9] = 1 ; deg[363,9] = 5*11 ; dsc[363,9] = 5 ; E [363,9] = [x^2-3*x+1, [1,x,-1,3*x-3,-x+2]]; bsd[363,10] = 1/11 ; deg[363,10] = 3^2*11 ; dsc[363,10] = 2^4*3^2*11^2 ; E [363,10] = [x^4-7*x^2+4, [2,2*x,2,2*x^2-4,-2*x^2+8]]; bsd[364,1] = 0 ; deg[364,1] = 3 ; dsc[364,1] = 1 ; E [364,1] = [x, [1,0,-2,0,1]]; bsd[364,2] = 0 ; deg[364,2] = 3*5 ; dsc[364,2] = 1 ; E [364,2] = [x, [1,0,0,0,-3]]; bsd[364,3] = 1 ; deg[364,3] = 3^3 ; dsc[364,3] = 2^3*3 ; E [364,3] = [x^2-6, [1,0,x,0,x-1]]; bsd[364,4] = 1 ; deg[364,4] = 3^2 ; dsc[364,4] = 2^2*3 ; E [364,4] = [x^2-2*x-2, [1,0,x,0,-x+1]]; bsd[365,1] = 11 ; deg[365,1] = 3*5^2*11 ; dsc[365,1] = 2^2*3 ; E [365,1] = [x^2-3, [1,x,2,1,1]]; bsd[365,2] = 0 ; deg[365,2] = 13 ; dsc[365,2] = 7^2 ; E [365,2] = [x^3+x^2-2*x-1, [1,x,x^2-3,x^2-2,1]]; bsd[365,3] = 0 ; deg[365,3] = 19 ; dsc[365,3] = 2^3*47*313 ; E [365,3] = [x^5+x^4-5*x^3-4*x^2+4*x+1, [1,x,-x^2+1,x^2-2,-1]]; bsd[365,4] = 5/37 ; deg[365,4] = 3*5^3 ; dsc[365,4] = 2^4*313*353783 ; E [365,4] = [x^7+x^6-12*x^5-9*x^4+39*x^3+19*x^2-16*x-3, [2,2*x,-x^5-x^4+5*x^3+4*x^2+4*x+1,2*x^2-4,2]]; bsd[365,5] = 1/3 ; deg[365,5] = 3^3 ; dsc[365,5] = 2^4*7*9377894173 ; E [365,5] = [x^8-2*x^7-11*x^6+19*x^5+36*x^4-46*x^3-41*x^2+25*x+3, [4,4*x,-2*x^5+2*x^4+18*x^3-12*x^2-32*x+10,4*x^2-8,-4]]; bsd[366,1] = 1 ; deg[366,1] = 13 ; dsc[366,1] = 1 ; E [366,1] = [x, [1,-1,-1,1,-2]]; bsd[366,2] = 0 ; deg[366,2] = 3 ; dsc[366,2] = 1 ; E [366,2] = [x, [1,-1,1,1,-3]]; bsd[366,3] = 3 ; deg[366,3] = 3*19 ; dsc[366,3] = 1 ; E [366,3] = [x, [1,-1,1,1,1]]; bsd[366,4] = 0 ; deg[366,4] = 5 ; dsc[366,4] = 1 ; E [366,4] = [x, [1,1,-1,1,-3]]; bsd[366,5] = 7 ; deg[366,5] = 7*13 ; dsc[366,5] = 1 ; E [366,5] = [x, [1,1,-1,1,-1]]; bsd[366,6] = 1 ; deg[366,6] = 3*5 ; dsc[366,6] = 1 ; E [366,6] = [x, [1,1,1,1,1]]; bsd[366,7] = 1 ; deg[366,7] = 3 ; dsc[366,7] = 1 ; E [366,7] = [x, [1,1,1,1,1]]; bsd[366,8] = 1 ; deg[366,8] = 13^2*17 ; dsc[366,8] = 17 ; E [366,8] = [x^2-17, [2,-2,-2,2,2*x]]; bsd[367,1] = 0 ; deg[367,1] = 1 ; dsc[367,1] = 81421*15354151381 ; E [367,1] = [x^11+8*x^10+16*x^9-26*x^8-121*x^7-61*x^6+197*x^5+212*x^4-66*x^3-132*x^2-12*x+13, [1,x,-8*x^10-54*x^9-61*x^8+282*x^7+616*x^6-269*x^5-1230*x^4-177*x^3+729*x^2+149*x-83,x^2-2,24*x^10+162*x^9+181*x^8-852*x^7-1836*x^6+844*x^5+3668*x^4+472*x^3-2173*x^2-426*x+246]]; bsd[367,2] = 1/61 ; deg[367,2] = 1 ; dsc[367,2] = 7*251387*418175501*13144405392643360366681 ; E [367,2] = [x^19-9*x^18+11*x^17+123*x^16-372*x^15-469*x^14+2884*x^13-550*x^12-10042*x^11+8029*x^10+17059*x^9-20350*x^8-12836*x^7+20779*x^6+2682*x^5-7739*x^4+63*x^3+899*x^2-27*x-29, [23610721,23610721*x,6827828*x^18-49682236*x^17-6832536*x^16+803001118*x^15-1171782712*x^14-4794282730*x^13+10991047449*x^12+12384298965*x^11-42478188938*x^10-9593322662*x^9+80448498286*x^8-13480943176*x^7-72276385698*x^6+24824130950*x^5+25244646700*x^4-9251148553*x^3-3069626859*x^2+818237984*x+127146744,23610721*x^2-47221442,-1297203*x^18+14414733*x^17-31674448*x^16-177259634*x^15+783001630*x^14+404568652*x^13-5772832937*x^12+3265357555*x^11+19924295543*x^10-21018429365*x^9-34798304039*x^8+47067197132*x^7+29544729494*x^6-45508663466*x^5-10825879428*x^4+15709586993*x^3+2047419967*x^2-1129150019*x-90300556]]; bsd[368,1] = 0 ; deg[368,1] = 3 ; dsc[368,1] = 1 ; E [368,1] = [x, [1,0,-3,0,0]]; bsd[368,2] = 0 ; deg[368,2] = 1 ; dsc[368,2] = 1 ; E [368,2] = [x, [1,0,-1,0,0]]; bsd[368,3] = 0 ; deg[368,3] = 3 ; dsc[368,3] = 1 ; E [368,3] = [x, [1,0,0,0,0]]; bsd[368,4] = 1 ; deg[368,4] = 3*5 ; dsc[368,4] = 1 ; E [368,4] = [x, [1,0,0,0,4]]; bsd[368,5] = 0 ; deg[368,5] = 1 ; dsc[368,5] = 1 ; E [368,5] = [x, [1,0,1,0,-4]]; bsd[368,6] = 1 ; deg[368,6] = 1 ; dsc[368,6] = 1 ; E [368,6] = [x, [1,0,1,0,-2]]; bsd[368,7] = 1 ; deg[368,7] = 3 ; dsc[368,7] = 1 ; E [368,7] = [x, [1,0,3,0,-2]]; bsd[368,8] = 1 ; deg[368,8] = 5 ; dsc[368,8] = 2^2*5 ; E [368,8] = [x^2-5, [1,0,x,0,x-1]]; bsd[368,9] = 1 ; deg[368,9] = 1 ; dsc[368,9] = 17 ; E [368,9] = [x^2-x-4, [1,0,x,0,2]]; bsd[369,1] = 0 ; deg[369,1] = 1 ; dsc[369,1] = 1 ; E [369,1] = [x, [1,0,0,-2,2]]; bsd[369,2] = 1 ; deg[369,2] = 5 ; dsc[369,2] = 1 ; E [369,2] = [x, [1,2,0,2,4]]; bsd[369,3] = 0 ; deg[369,3] = 1 ; dsc[369,3] = 2^3 ; E [369,3] = [x^2-2, [1,x,0,0,-x-2]]; bsd[369,4] = 0 ; deg[369,4] = 1 ; dsc[369,4] = 2^2*37 ; E [369,4] = [x^3+2*x^2-2*x-2, [1,x,0,x^2-2,-x-2]]; bsd[369,5] = 1 ; deg[369,5] = 23 ; dsc[369,5] = 2^2*79 ; E [369,5] = [x^3+x^2-4*x-2, [1,x,0,x^2-2,x^2+x-4]]; bsd[369,6] = 1 ; deg[369,6] = 5*23 ; dsc[369,6] = 2^2*37 ; E [369,6] = [x^3-x^2-5*x+1, [2,2*x,0,2*x^2-4,-2*x+2]]; bsd[369,7] = 1 ; deg[369,7] = 3^3 ; dsc[369,7] = 2^2*37 ; E [369,7] = [x^3-2*x^2-2*x+2, [1,x,0,x^2-2,-x+2]]; bsd[370,1] = 1/3 ; deg[370,1] = 3^3 ; dsc[370,1] = 1 ; E [370,1] = [x, [1,-1,-2,1,-1]]; bsd[370,2] = 0 ; deg[370,2] = 1 ; dsc[370,2] = 1 ; E [370,2] = [x, [1,-1,0,1,-1]]; bsd[370,3] = 1 ; deg[370,3] = 11 ; dsc[370,3] = 1 ; E [370,3] = [x, [1,-1,2,1,1]]; bsd[370,4] = 1 ; deg[370,4] = 3 ; dsc[370,4] = 1 ; E [370,4] = [x, [1,1,-2,1,1]]; bsd[370,5] = 0 ; deg[370,5] = 3*13 ; dsc[370,5] = 2^2*3 ; E [370,5] = [x^2+2*x-2, [1,-1,x,1,1]]; bsd[370,6] = 3 ; deg[370,6] = 3 ; dsc[370,6] = 3*11 ; E [370,6] = [x^2+3*x-6, [1,1,2,1,1]]; bsd[370,7] = 5 ; deg[370,7] = 5*31 ; dsc[370,7] = 2^2*223 ; E [370,7] = [x^3-10*x+4, [2,2,2*x,2,-2]]; bsd[371,1] = 0 ; deg[371,1] = 1 ; dsc[371,1] = 1 ; E [371,1] = [x, [1,1,-1,-1,0]]; bsd[371,2] = 3 ; deg[371,2] = 3*5 ; dsc[371,2] = 1 ; E [371,2] = [x, [1,2,0,2,3]]; bsd[371,3] = 0 ; deg[371,3] = 5 ; dsc[371,3] = 5 ; E [371,3] = [x^2+x-1, [1,x,x,-x-1,-x-2]]; bsd[371,4] = 0 ; deg[371,4] = 1 ; dsc[371,4] = 229 ; E [371,4] = [x^3-4*x-1, [1,x,-x,x^2-2,-x^2+1]]; bsd[371,5] = 1 ; deg[371,5] = 191 ; dsc[371,5] = 2^8*7*64627370911 ; E [371,5] = [x^9-15*x^7+x^6+74*x^5-9*x^4-132*x^3+24*x^2+64*x-16, [8,8*x,x^8-15*x^6-3*x^5+70*x^4+23*x^3-104*x^2-28*x+32,8*x^2-16,x^8-11*x^6+5*x^5+34*x^4-37*x^3-24*x^2+56*x]]; bsd[371,6] = 1/3^3 ; deg[371,6] = 5 ; dsc[371,6] = 2^14*157*76723322773093 ; E [371,6] = [x^11+x^10-20*x^9-19*x^8+140*x^7+125*x^6-396*x^5-333*x^4+359*x^3+298*x^2-4*x-24, [8,8*x,6*x^10+3*x^9-121*x^8-53*x^7+860*x^6+313*x^5-2513*x^4-715*x^3+2520*x^2+508*x-304,8*x^2-16,-4*x^10-2*x^9+80*x^8+36*x^7-562*x^6-218*x^5+1612*x^4+516*x^3-1558*x^2-388*x+168]]; bsd[372,1] = 0 ; deg[372,1] = 3 ; dsc[372,1] = 1 ; E [372,1] = [x, [1,0,-1,0,-1]]; bsd[372,2] = 0 ; deg[372,2] = 3 ; dsc[372,2] = 1 ; E [372,2] = [x, [1,0,1,0,-3]]; bsd[372,3] = 1 ; deg[372,3] = 3*5 ; dsc[372,3] = 1 ; E [372,3] = [x, [1,0,1,0,-2]]; bsd[372,4] = 3 ; deg[372,4] = 3^2*5 ; dsc[372,4] = 1 ; E [372,4] = [x, [1,0,1,0,3]]; bsd[372,5] = 1 ; deg[372,5] = 3^2 ; dsc[372,5] = 17 ; E [372,5] = [x^2-3*x-2, [1,0,-1,0,x]]; bsd[373,1] = 0 ; deg[373,1] = 11 ; dsc[373,1] = 1 ; E [373,1] = [x, [1,-2,1,2,2]]; bsd[373,2] = 0 ; deg[373,2] = 11 ; dsc[373,2] = 7*11*2143*1542194372227 ; E [373,2] = [x^12+4*x^11-8*x^10-43*x^9+14*x^8+161*x^7+17*x^6-260*x^5-53*x^4+177*x^3+18*x^2-42*x+7, [839,839*x,-183*x^11-627*x^10+1810*x^9+6913*x^8-5772*x^7-26330*x^6+5697*x^5+41863*x^4+3312*x^3-26479*x^2-5280*x+3976,839*x^2-1678,580*x^11+2111*x^10-5081*x^9-22286*x^8+12352*x^7+80296*x^6-1895*x^5-119660*x^4-23756*x^3+67656*x^2+16982*x-9704]]; bsd[373,3] = 1/31 ; deg[373,3] = 1 ; dsc[373,3] = 2^6*23*199*673*72819251148518000363297 ; E [373,3] = [x^17-4*x^16-18*x^15+85*x^14+111*x^13-713*x^12-211*x^11+3017*x^10-469*x^9-6832*x^8+2513*x^7+8146*x^6-3634*x^5-4743*x^4+2092*x^3+1142*x^2-417*x-62, [5322596,5322596*x,43848*x^16-531482*x^15+1957488*x^14+3114922*x^13-36176894*x^12+39893664*x^11+195095004*x^10-404134138*x^9-384378238*x^8+1276815024*x^7+147787258*x^6-1693228714*x^5+230426202*x^4+919745778*x^3-113227628*x^2-162802298*x-3259832,5322596*x^2-10645192,-815598*x^16+2995556*x^15+14337798*x^14-59094098*x^13-91944496*x^12+455722560*x^11+256202922*x^10-1758635766*x^9-247643432*x^8+3591672946*x^7-126593478*x^6-3750966442*x^5+260056638*x^4+1770048476*x^3-21180542*x^2-286942728*x-23639688]]; bsd[374,1] = 0 ; deg[374,1] = 5 ; dsc[374,1] = 1 ; E [374,1] = [x, [1,-1,0,1,0]]; bsd[374,2] = 1/3 ; deg[374,2] = 5^3 ; dsc[374,2] = 5*157 ; E [374,2] = [x^3+x^2-6*x-5, [1,-1,x,1,-x^2+4]]; bsd[374,3] = 37/3 ; deg[374,3] = 3^2*37 ; dsc[374,3] = 257 ; E [374,3] = [x^3-3*x^2-2*x+7, [1,1,x,1,-x^2+4]]; bsd[374,4] = 1/3 ; deg[374,4] = 3*5^2 ; dsc[374,4] = 5*11117 ; E [374,4] = [x^4-x^3-10*x^2+9*x+16, [1,-1,x,1,x^2-4]]; bsd[374,5] = 13 ; deg[374,5] = 5*13 ; dsc[374,5] = 17417 ; E [374,5] = [x^4-x^3-10*x^2+13*x-4, [1,1,x,1,2*x^3-x^2-20*x+14]]; bsd[375,1] = 0 ; deg[375,1] = 5*31 ; dsc[375,1] = 5 ; E [375,1] = [x^2+3*x+1, [1,x,1,-3*x-3,0]]; bsd[375,2] = 0 ; deg[375,2] = 5 ; dsc[375,2] = 5 ; E [375,2] = [x^2+x-1, [1,x,-1,-x-1,0]]; bsd[375,3] = 1/5 ; deg[375,3] = 5^2 ; dsc[375,3] = 5 ; E [375,3] = [x^2-x-1, [1,x,1,x-1,0]]; bsd[375,4] = 1 ; deg[375,4] = 5^3*31 ; dsc[375,4] = 5 ; E [375,4] = [x^2-3*x+1, [1,x,-1,3*x-3,0]]; bsd[375,5] = 1 ; deg[375,5] = 5^4*29 ; dsc[375,5] = 5^2*101 ; E [375,5] = [x^4+3*x^3-3*x^2-11*x-1, [1,x,-1,x^2-2,0]]; bsd[375,6] = 29/5 ; deg[375,6] = 5^3*29 ; dsc[375,6] = 5^2*101 ; E [375,6] = [x^4-3*x^3-3*x^2+11*x-1, [1,x,1,x^2-2,0]]; bsd[376,1] = 0 ; deg[376,1] = 1 ; dsc[376,1] = 5 ; E [376,1] = [x^2-x-11, [3,0,-x-1,0,-6]]; bsd[376,2] = 0 ; deg[376,2] = 1 ; dsc[376,2] = 5 ; E [376,2] = [x^2+2*x-4, [2,0,-x-2,0,2*x]]; bsd[376,3] = 1 ; deg[376,3] = 1 ; dsc[376,3] = 2^2*5^3*61 ; E [376,3] = [x^4+x^3-9*x^2-4*x+16, [2,0,2*x,0,x^3+x^2-5*x]]; bsd[376,4] = 1 ; deg[376,4] = 1 ; dsc[376,4] = 2^3*41^2 ; E [376,4] = [x^4-3*x^3-5*x^2+16*x-8, [2,0,2*x,0,x^3-3*x^2-5*x+12]]; bsd[377,1] = 0 ; deg[377,1] = 7 ; dsc[377,1] = 1 ; E [377,1] = [x, [1,1,0,-1,-2]]; bsd[377,2] = 1 ; deg[377,2] = 3 ; dsc[377,2] = 2^2*3 ; E [377,2] = [x^2-3, [1,x,x+1,1,-2*x]]; bsd[377,3] = 0 ; deg[377,3] = 7*31 ; dsc[377,3] = 202817 ; E [377,3] = [x^5+3*x^4-3*x^3-13*x^2-8*x-1, [1,x,-2*x^4-5*x^3+8*x^2+21*x+6,x^2-2,2*x^4+5*x^3-8*x^2-22*x-7]]; bsd[377,4] = 0 ; deg[377,4] = 1 ; dsc[377,4] = 36497 ; E [377,4] = [x^5+x^4-5*x^3-3*x^2+6*x+1, [1,x,x^3-3*x,x^2-2,-x^3-2*x^2+2*x+3]]; bsd[377,5] = 1/7 ; deg[377,5] = 3*7*23 ; dsc[377,5] = 2^2*829*400031 ; E [377,5] = [x^7-3*x^6-8*x^5+26*x^4+9*x^3-36*x^2-14*x+3, [1,x,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+8*x+1,x^2-2,-x^6+2*x^5+8*x^4-15*x^3-7*x^2+9*x]]; bsd[377,6] = 1/3*5 ; deg[377,6] = 1 ; dsc[377,6] = 2^8*5^2*991*54126547 ; E [377,6] = [x^9-x^8-13*x^7+13*x^6+51*x^5-50*x^4-59*x^3+45*x^2+20*x-3, [4,4*x,3*x^8-37*x^6+133*x^4-x^3-124*x^2-17*x+7,4*x^2-8,2*x^8-26*x^6+102*x^4-2*x^3-116*x^2-2*x+18]]; bsd[378,1] = 1 ; deg[378,1] = 3*5*7 ; dsc[378,1] = 1 ; E [378,1] = [x, [1,-1,0,1,-4]]; bsd[378,2] = 0 ; deg[378,2] = 3^2 ; dsc[378,2] = 1 ; E [378,2] = [x, [1,-1,0,1,-3]]; bsd[378,3] = 0 ; deg[378,3] = 3 ; dsc[378,3] = 1 ; E [378,3] = [x, [1,-1,0,1,-1]]; bsd[378,4] = 1/3 ; deg[378,4] = 3^2 ; dsc[378,4] = 1 ; E [378,4] = [x, [1,-1,0,1,0]]; bsd[378,5] = 1 ; deg[378,5] = 3^2 ; dsc[378,5] = 1 ; E [378,5] = [x, [1,1,0,1,0]]; bsd[378,6] = 1 ; deg[378,6] = 3^2 ; dsc[378,6] = 1 ; E [378,6] = [x, [1,1,0,1,1]]; bsd[378,7] = 1 ; deg[378,7] = 3^2 ; dsc[378,7] = 1 ; E [378,7] = [x, [1,1,0,1,3]]; bsd[378,8] = 5 ; deg[378,8] = 3^2*5*7 ; dsc[378,8] = 1 ; E [378,8] = [x, [1,1,0,1,4]]; bsd[379,1] = 0 ; deg[379,1] = 1 ; dsc[379,1] = 59*317*421*278329*5698591 ; E [379,1] = [x^13+5*x^12-5*x^11-56*x^10-27*x^9+210*x^8+184*x^7-347*x^6-346*x^5+252*x^4+246*x^3-60*x^2-48*x-1, [1,x,-2*x^12-5*x^11+23*x^10+54*x^9-91*x^8-187*x^7+164*x^6+262*x^5-121*x^4-154*x^3+20*x^2+33*x+2,x^2-2,x^12+x^11-12*x^10-x^9+52*x^8-62*x^7-105*x^6+246*x^5+67*x^4-255*x^3+4*x^2+46*x+1]]; bsd[379,2] = 1/3^2*7 ; deg[379,2] = 1 ; dsc[379,2] = 2^2*2117788336277*2851210737989187265253 ; E [379,2] = [x^18-3*x^17-22*x^16+69*x^15+190*x^14-638*x^13-807*x^12+3041*x^11+1680*x^10-7967*x^9-1220*x^8+11334*x^7-1006*x^6-8079*x^5+1938*x^4+2287*x^3-752*x^2-68*x+24, [3586350380,3586350380*x,479293866*x^17-968565754*x^16-11674794408*x^15+21840155982*x^14+116768755868*x^13-196061121776*x^12-619584674826*x^11+892987096902*x^10+1875177503828*x^9-2177146395770*x^8-3215718600940*x^7+2760644600164*x^6+2872141071020*x^5-1651593106674*x^4-1063573502048*x^3+370551691350*x^2+62657409348*x-13968787336,3586350380*x^2-7172700760,-587362301*x^17+1362705089*x^16+13963930728*x^15-31159994897*x^14-135139583288*x^13+285168273186*x^12+685645325291*x^11-1335062480207*x^10-1951520223498*x^9+3390633934555*x^8+3068824758890*x^7-4575815442434*x^6-2392760910710*x^5+2998847142899*x^4+657622348228*x^3-745847896095*x^2+31577025842*x+23737234776]]; bsd[380,1] = 0 ; deg[380,1] = 3 ; dsc[380,1] = 1 ; E [380,1] = [x, [1,0,0,0,-1]]; bsd[380,2] = 3 ; deg[380,2] = 3*5 ; dsc[380,2] = 1 ; E [380,2] = [x, [1,0,2,0,-1]]; bsd[380,3] = 0 ; deg[380,3] = 3^2*7 ; dsc[380,3] = 2^3 ; E [380,3] = [x^2+4*x+2, [1,0,x,0,1]]; bsd[380,4] = 1 ; deg[380,4] = 3^2 ; dsc[380,4] = 2^2*3 ; E [380,4] = [x^2-2*x-2, [1,0,x,0,1]]; bsd[381,1] = 0 ; deg[381,1] = 5 ; dsc[381,1] = 1 ; E [381,1] = [x, [1,0,1,-2,-1]]; bsd[381,2] = 1 ; deg[381,2] = 11 ; dsc[381,2] = 1 ; E [381,2] = [x, [1,2,1,2,3]]; bsd[381,3] = 0 ; deg[381,3] = 19 ; dsc[381,3] = 81509 ; E [381,3] = [x^5+x^4-5*x^3-3*x^2+5*x+2, [1,x,-1,x^2-2,-x^4-x^3+3*x^2+x-1]]; bsd[381,4] = 1 ; deg[381,4] = 647 ; dsc[381,4] = 2^4*15427 ; E [381,4] = [x^5-2*x^4-6*x^3+10*x^2+5*x-4, [2,2*x,-2,2*x^2-4,x^4-2*x^3-5*x^2+8*x+2]]; bsd[381,5] = 109 ; deg[381,5] = 11*109 ; dsc[381,5] = 2^4*98361184089911 ; E [381,5] = [x^9+2*x^8-14*x^7-26*x^6+59*x^5+99*x^4-66*x^3-102*x^2-24*x-1, [12,12*x,12,12*x^2-24,2*x^8+6*x^7-28*x^6-80*x^5+116*x^4+314*x^3-118*x^2-340*x-64]]; bsd[382,1] = 0 ; deg[382,1] = 5 ; dsc[382,1] = 13^2 ; E [382,1] = [x^3+x^2-4*x+1, [1,-1,x,1,-x^2-2*x+1]]; bsd[382,2] = 0 ; deg[382,2] = 967 ; dsc[382,2] = 7^2 ; E [382,2] = [x^3+5*x^2+6*x+1, [1,1,x,1,x^2+2*x-3]]; bsd[382,3] = 11 ; deg[382,3] = 11 ; dsc[382,3] = 11*619 ; E [382,3] = [x^4-3*x^3-2*x^2+9*x-4, [1,1,x,1,x^3-2*x^2-4*x+6]]; bsd[382,4] = 1 ; deg[382,4] = 11*6277 ; dsc[382,4] = 2^2*44171 ; E [382,4] = [x^5-3*x^4-8*x^3+25*x^2+8*x-32, [12,-12,12*x,12,6*x^4-6*x^3-48*x^2+30*x+72]]; bsd[383,1] = 0 ; deg[383,1] = 11 ; dsc[383,1] = 5 ; E [383,1] = [x^2+x-1, [1,x,x-1,-x-1,x+1]]; bsd[383,2] = 0 ; deg[383,2] = 11 ; dsc[383,2] = 3151861 ; E [383,2] = [x^6+3*x^5-3*x^4-12*x^3-x^2+8*x+3, [1,x,x^5+2*x^4-5*x^3-8*x^2+5*x+5,x^2-2,-x^5-2*x^4+5*x^3+8*x^2-6*x-6]]; bsd[383,3] = 1/191 ; deg[383,3] = 1 ; dsc[383,3] = 13*72893*16141144314299*178236551484825400362837637090811 ; E [383,3] = [x^24-5*x^23-26*x^22+160*x^21+244*x^20-2173*x^19-711*x^18+16368*x^17-4007*x^16-75111*x^15+42025*x^14+217575*x^13-160547*x^12-399209*x^11+331301*x^10+452295*x^9-388291*x^8-296126*x^7+247918*x^6+96139*x^5-75925*x^4-9553*x^3+8302*x^2-342*x-49, [171261395095631272311751,171261395095631272311751*x,1084096506569374761529*x^23-4676875943116968677282*x^22-31583475280793780500313*x^21+152566634472831118219863*x^20+372951514300544040527356*x^19-2120956637059806820309931*x^18-2237731450385977579008227*x^17+16431900607176618615705457*x^16+6639912945399504566900223*x^15-77962372918852004962730187*x^14-4380780678721158671743857*x^13+234627743402340948897499420*x^12-31477807299921149814988089*x^11-448553612782604426400687115*x^10+103564802957874038494431159*x^9+528715210308935946866134213*x^8-141619619359403870741784233*x^7-356295368351683988050858160*x^6+94637141308415036342531354*x^5+115154983522165788227142836*x^4-27506282984830510686812638*x^3-9892974265624022859872873*x^2+2311496093947297524326116*x-389483847462182006318744,171261395095631272311751*x^2-342522790191262544623502,1610980210331729423845*x^23-8446847331575999174002*x^22-39970741358661123724722*x^21+267656685633220429785018*x^20+335473799924255861905797*x^19-3591725690932758179304004*x^18-429234804791023809832334*x^17+26664821150880028634189110*x^16-11179077743671649715676360*x^15-120306200079762732123826154*x^14+85204117927300822187283972*x^13+342184255162149946289579744*x^12-292904552013233378168312504*x^11-617741442439761706388305102*x^10+555855261588572105838398752*x^9+695093550349174674477524824*x^8-588920867521043088632965786*x^7-462229800092140980767054919*x^6+322234199382349937387872098*x^5+158957241591136791549689730*x^4-74981843769039390084313492*x^3-18197112748073666970506467*x^2+5608668948767292210169994*x-190592589254782134167054]]; bsd[384,1] = 1 ; deg[384,1] = 3 ; dsc[384,1] = 1 ; E [384,1] = [x, [1,0,-1,0,-4]]; bsd[384,2] = 0 ; deg[384,2] = 1 ; dsc[384,2] = 1 ; E [384,2] = [x, [1,0,-1,0,0]]; bsd[384,3] = 1 ; deg[384,3] = 1 ; dsc[384,3] = 1 ; E [384,3] = [x, [1,0,-1,0,0]]; bsd[384,4] = 1 ; deg[384,4] = 3 ; dsc[384,4] = 1 ; E [384,4] = [x, [1,0,-1,0,4]]; bsd[384,5] = 0 ; deg[384,5] = 3 ; dsc[384,5] = 1 ; E [384,5] = [x, [1,0,1,0,-4]]; bsd[384,6] = 1 ; deg[384,6] = 1 ; dsc[384,6] = 1 ; E [384,6] = [x, [1,0,1,0,0]]; bsd[384,7] = 1 ; deg[384,7] = 1 ; dsc[384,7] = 1 ; E [384,7] = [x, [1,0,1,0,0]]; bsd[384,8] = 3 ; deg[384,8] = 3 ; dsc[384,8] = 1 ; E [384,8] = [x, [1,0,1,0,4]]; bsd[385,1] = 0 ; deg[385,1] = 1 ; dsc[385,1] = 1 ; E [385,1] = [x, [1,-1,-2,-1,1]]; bsd[385,2] = 0 ; deg[385,2] = 1 ; dsc[385,2] = 1 ; E [385,2] = [x, [1,-1,0,-1,1]]; bsd[385,3] = 1/3 ; deg[385,3] = 3 ; dsc[385,3] = 2^2*3 ; E [385,3] = [x^2-3, [1,x,x+1,1,-1]]; bsd[385,4] = 1 ; deg[385,4] = 3^2 ; dsc[385,4] = 2^3 ; E [385,4] = [x^2-2*x-1, [1,x,x-1,2*x-1,-1]]; bsd[385,5] = 0 ; deg[385,5] = 5^3 ; dsc[385,5] = 2^2*37 ; E [385,5] = [x^3+4*x^2+2*x-2, [1,-x^2-3*x-1,x,x^2+4*x+3,-1]]; bsd[385,6] = 0 ; deg[385,6] = 5 ; dsc[385,6] = 2^2*37 ; E [385,6] = [x^3+2*x^2-2*x-2, [1,-x^2-x+1,x,x^2-1,-1]]; bsd[385,7] = 1 ; deg[385,7] = 5 ; dsc[385,7] = 2^2*37 ; E [385,7] = [x^3-x^2-3*x+1, [1,x,x^2-x-2,x^2-2,1]]; bsd[385,8] = 7 ; deg[385,8] = 7*19 ; dsc[385,8] = 2^4*2837 ; E [385,8] = [x^4-2*x^3-6*x^2+8*x+7, [1,x,-x^2+x+4,x^2-2,1]]; bsd[386,1] = 0 ; deg[386,1] = 29 ; dsc[386,1] = 5 ; E [386,1] = [x^2+x-1, [1,-1,x,1,-x]]; bsd[386,2] = 0 ; deg[386,2] = 31 ; dsc[386,2] = 5 ; E [386,2] = [x^2+3*x+1, [1,1,x,1,-x-4]]; bsd[386,3] = 1/3 ; deg[386,3] = 5*271 ; dsc[386,3] = 2^4*9659021 ; E [386,3] = [x^6-x^5-12*x^4+7*x^3+40*x^2-13*x-37, [2,-2,2*x,2,-x^5+11*x^3+4*x^2-23*x-12]]; bsd[386,4] = 19*229/97 ; deg[386,4] = 19*229 ; dsc[386,4] = 2^4*14653*22961 ; E [386,4] = [x^7-3*x^6-10*x^5+33*x^4+14*x^3-91*x^2+45*x+16, [2,2,2*x,2,-6*x^6+9*x^5+74*x^4-89*x^3-220*x^2+229*x+72]]; bsd[387,1] = 1 ; deg[387,1] = 3*5 ; dsc[387,1] = 1 ; E [387,1] = [x, [1,-1,0,-1,-2]]; bsd[387,2] = 0 ; deg[387,2] = 1 ; dsc[387,2] = 1 ; E [387,2] = [x, [1,-1,0,-1,1]]; bsd[387,3] = 1 ; deg[387,3] = 1 ; dsc[387,3] = 1 ; E [387,3] = [x, [1,0,0,-2,2]]; bsd[387,4] = 0 ; deg[387,4] = 3 ; dsc[387,4] = 1 ; E [387,4] = [x, [1,1,0,-1,-1]]; bsd[387,5] = 1 ; deg[387,5] = 3 ; dsc[387,5] = 1 ; E [387,5] = [x, [1,2,0,2,4]]; bsd[387,6] = 0 ; deg[387,6] = 7 ; dsc[387,6] = 2^3 ; E [387,6] = [x^2+2*x-1, [1,x,0,-2*x-1,-x-2]]; bsd[387,7] = 1/3 ; deg[387,7] = 5^2 ; dsc[387,7] = 2^2*3 ; E [387,7] = [x^2-12, [2,0,0,-4,2*x]]; bsd[387,8] = 0 ; deg[387,8] = 7 ; dsc[387,8] = 2^3 ; E [387,8] = [x^2-2, [1,x,0,0,-x-2]]; bsd[387,9] = 1 ; deg[387,9] = 5 ; dsc[387,9] = 2^3*71 ; E [387,9] = [x^3-2*x^2-5*x+8, [1,x,0,x^2-2,-x+2]]; bsd[387,10] = 1 ; deg[387,10] = 3^2*5^2 ; dsc[387,10] = 2^4*5^2*13^2 ; E [387,10] = [x^4-9*x^2+4, [2,x^3-7*x,0,6,2*x]]; bsd[388,1] = 0 ; deg[388,1] = 3^3 ; dsc[388,1] = 7^2 ; E [388,1] = [x^3+2*x^2-x-1, [1,0,x,0,-x^2-2*x-1]]; bsd[388,2] = 1 ; deg[388,2] = 3^5 ; dsc[388,2] = 2^2*179*1297 ; E [388,2] = [x^5-2*x^4-9*x^3+15*x^2+20*x-24, [2,0,2*x,0,-2*x^3+2*x^2+10*x-4]]; bsd[389,1] = 0 ; deg[389,1] = 5 ; dsc[389,1] = 1 ; E [389,1] = [x, [1,-2,-2,2,-3]]; bsd[389,2] = 0 ; deg[389,2] = 3^2 ; dsc[389,2] = 2^3 ; E [389,2] = [x^2-2, [1,x,x-2,0,-1]]; bsd[389,3] = 0 ; deg[389,3] = 31 ; dsc[389,3] = 2^2*37 ; E [389,3] = [x^3-4*x-2, [1,x,-x,x^2-2,-x^2+1]]; bsd[389,4] = 0 ; deg[389,4] = 3^2*31 ; dsc[389,4] = 5^3*3881 ; E [389,4] = [x^6+3*x^5-2*x^4-8*x^3+2*x^2+4*x-1, [1,x,x^5+3*x^4-2*x^3-8*x^2+x+2,x^2-2,-x^5-2*x^4+4*x^3+6*x^2-4*x-2]]; bsd[389,5] = 5^2/97 ; deg[389,5] = 5 ; dsc[389,5] = 2^18*5*389*215517113148241*477439237737571441 ; E [389,5] = [x^20-3*x^19-29*x^18+91*x^17+338*x^16-1130*x^15-2023*x^14+7432*x^13+6558*x^12-28021*x^11-10909*x^10+61267*x^9+6954*x^8-74752*x^7+1407*x^6+46330*x^5-1087*x^4-12558*x^3-942*x^2+960*x+148, [1097385680,1097385680*x,-20146763*x^19+102331615*x^18+479539092*x^17-3014444212*x^16-3813583550*x^15+36114755350*x^14+6349339639*x^13-227515736964*x^12+71555185319*x^11+816654992625*x^10-446376673498*x^9-1698789732650*x^8+1063778499268*x^7+1996558922610*x^6-1167579836501*x^5-1238356001958*x^4+523532113822*x^3+352838824320*x^2-58584308844*x-25674258672,1097385680*x^2-2194771360,252247073*x^19-891959550*x^18-6876716517*x^17+26496463622*x^16+72786773940*x^15-320412453470*x^14-367946611589*x^13+2037515640679*x^12+816602908511*x^11-7362417623180*x^10-19595857657*x^9+15268061830300*x^8-3231235704008*x^7-17434580927450*x^6+5304122556631*x^5+9907751136883*x^4-2818638584772*x^3-2368140320390*x^2+353306303764*x+151286932412]]; bsd[390,1] = 0 ; deg[390,1] = 1 ; dsc[390,1] = 1 ; E [390,1] = [x, [1,-1,-1,1,-1]]; bsd[390,2] = 1 ; deg[390,2] = 5 ; dsc[390,2] = 1 ; E [390,2] = [x, [1,-1,-1,1,1]]; bsd[390,3] = 1 ; deg[390,3] = 5 ; dsc[390,3] = 1 ; E [390,3] = [x, [1,-1,1,1,-1]]; bsd[390,4] = 3 ; deg[390,4] = 3^2*5 ; dsc[390,4] = 1 ; E [390,4] = [x, [1,-1,1,1,1]]; bsd[390,5] = 1 ; deg[390,5] = 3 ; dsc[390,5] = 1 ; E [390,5] = [x, [1,1,-1,1,-1]]; bsd[390,6] = 1 ; deg[390,6] = 1 ; dsc[390,6] = 1 ; E [390,6] = [x, [1,1,-1,1,1]]; bsd[390,7] = 1 ; deg[390,7] = 3 ; dsc[390,7] = 1 ; E [390,7] = [x, [1,1,1,1,-1]]; bsd[390,8] = 7 ; deg[390,8] = 7^2 ; dsc[390,8] = 2^5 ; E [390,8] = [x^2-8, [1,1,1,1,1]]; bsd[391,1] = 0 ; deg[391,1] = 3^2 ; dsc[391,1] = 5 ; E [391,1] = [x^2+x-1, [1,x,1,-x-1,-2*x-2]]; bsd[391,2] = 0 ; deg[391,2] = 3^2 ; dsc[391,2] = 257 ; E [391,2] = [x^3+x^2-4*x-3, [1,x,-2,x^2-2,-x^2+2]]; bsd[391,3] = 0 ; deg[391,3] = 5^2 ; dsc[391,3] = 13^2 ; E [391,3] = [x^3+x^2-4*x+1, [1,x,0,x^2-2,-x^2-2*x+2]]; bsd[391,4] = 1/3 ; deg[391,4] = 109 ; dsc[391,4] = 2^6*13*89*151*1527893 ; E [391,4] = [x^9-2*x^8-12*x^7+23*x^6+43*x^5-79*x^4-43*x^3+78*x^2+11*x-21, [4,4*x,-x^8+x^7+14*x^6-10*x^5-66*x^4+28*x^3+114*x^2-19*x-47,4*x^2-8,-x^8+x^7+13*x^6-11*x^5-55*x^4+35*x^3+85*x^2-26*x-36]]; bsd[391,5] = 1 ; deg[391,5] = 7 ; dsc[391,5] = 2^6*12821*12034553*407626231 ; E [391,5] = [x^12-4*x^11-12*x^10+62*x^9+27*x^8-321*x^7+108*x^6+625*x^5-362*x^4-372*x^3+116*x^2+97*x+13, [14,14*x,-9*x^11+24*x^10+133*x^9-362*x^8-623*x^7+1776*x^6+920*x^5-3003*x^4-60*x^3+867*x^2+98*x+9,14*x^2-28,-x^11-9*x^10+42*x^9+141*x^8-483*x^7-736*x^6+2168*x^5+1435*x^4-3677*x^3-886*x^2+1407*x+379]]; bsd[392,1] = 0 ; deg[392,1] = 3 ; dsc[392,1] = 1 ; E [392,1] = [x, [1,0,-3,0,1]]; bsd[392,2] = 1 ; deg[392,2] = 3 ; dsc[392,2] = 1 ; E [392,2] = [x, [1,0,-2,0,4]]; bsd[392,3] = 0 ; deg[392,3] = 3 ; dsc[392,3] = 1 ; E [392,3] = [x, [1,0,-1,0,-1]]; bsd[392,4] = 0 ; deg[392,4] = 3 ; dsc[392,4] = 1 ; E [392,4] = [x, [1,0,0,0,-2]]; bsd[392,5] = 1 ; deg[392,5] = 3*7 ; dsc[392,5] = 1 ; E [392,5] = [x, [1,0,1,0,1]]; bsd[392,6] = 1 ; deg[392,6] = 3*7 ; dsc[392,6] = 1 ; E [392,6] = [x, [1,0,3,0,-1]]; bsd[392,7] = 1 ; deg[392,7] = 7 ; dsc[392,7] = 2^3 ; E [392,7] = [x^2-2, [1,0,x,0,2*x]]; bsd[392,8] = 1 ; deg[392,8] = 7 ; dsc[392,8] = 2^5 ; E [392,8] = [x^2-8, [1,0,x,0,x]]; bsd[393,1] = 1 ; deg[393,1] = 23^2 ; dsc[393,1] = 2^3 ; E [393,1] = [x^2+2*x-1, [1,x,-1,-2*x-1,-2*x-2]]; bsd[393,2] = 0 ; deg[393,2] = 1931 ; dsc[393,2] = 5^2*29 ; E [393,2] = [x^4+3*x^3-4*x-1, [1,x,1,x^2-2,-x^3-3*x^2+1]]; bsd[393,3] = 0 ; deg[393,3] = 3 ; dsc[393,3] = 19*103 ; E [393,3] = [x^4+x^3-4*x^2-2*x+3, [1,x,-1,x^2-2,-x^3-x^2+2*x+1]]; bsd[393,4] = 1 ; deg[393,4] = 23^2*331 ; dsc[393,4] = 3^3*43*461 ; E [393,4] = [x^5-2*x^4-7*x^3+12*x^2+9*x-9, [3,3*x,-3,3*x^2-6,x^4-2*x^3-7*x^2+12*x+6]]; bsd[393,5] = 5/11 ; deg[393,5] = 5 ; dsc[393,5] = 2^3*11*137077 ; E [393,5] = [x^6-x^5-7*x^4+5*x^3+13*x^2-4*x-5, [1,x,1,x^2-2,-x^4+5*x^2-2]]; bsd[394,1] = 0 ; deg[394,1] = 31 ; dsc[394,1] = 5 ; E [394,1] = [x^2+5*x+5, [1,1,-1,1,x]]; bsd[394,2] = 5/3 ; deg[394,2] = 5^3 ; dsc[394,2] = 3*7 ; E [394,2] = [x^2+x-5, [1,1,x,1,0]]; bsd[394,3] = 5^2 ; deg[394,3] = 5^4 ; dsc[394,3] = 29 ; E [394,3] = [x^2-3*x-5, [1,1,0,1,x]]; bsd[394,4] = 5/11 ; deg[394,4] = 5^3 ; dsc[394,4] = 5 ; E [394,4] = [x^2-5, [2,2,2*x,2,-x+5]]; bsd[394,5] = 0 ; deg[394,5] = 109 ; dsc[394,5] = 5^2*89 ; E [394,5] = [x^4+3*x^3-2*x^2-7*x+1, [2,-2,2*x,2,x^3-6*x-1]]; bsd[394,6] = 1 ; deg[394,6] = 1087 ; dsc[394,6] = 17^3 ; E [394,6] = [x^4-2*x^3-7*x^2+8*x-1, [2,-2,-x^2+x+5,2,2*x]]; bsd[395,1] = 1/5 ; deg[395,1] = 17 ; dsc[395,1] = 1 ; E [395,1] = [x, [1,-2,-1,2,1]]; bsd[395,2] = 1 ; deg[395,2] = 3^2 ; dsc[395,2] = 1 ; E [395,2] = [x, [1,-1,0,-1,1]]; bsd[395,3] = 3 ; deg[395,3] = 3^2 ; dsc[395,3] = 1 ; E [395,3] = [x, [1,-1,2,-1,1]]; bsd[395,4] = 0 ; deg[395,4] = 97 ; dsc[395,4] = 7^2 ; E [395,4] = [x^3+2*x^2-x-1, [1,x,x^2+x-2,x^2-2,1]]; bsd[395,5] = 0 ; deg[395,5] = 3 ; dsc[395,5] = 3^4 ; E [395,5] = [x^3-3*x+1, [1,x,-x^2-x+2,x^2-2,-1]]; bsd[395,6] = 3 ; deg[395,6] = 3^5 ; dsc[395,6] = 2^2*3*47 ; E [395,6] = [x^3-x^2-5*x+3, [1,2,x,2,1]]; bsd[395,7] = 1 ; deg[395,7] = 3^3*17 ; dsc[395,7] = 10273 ; E [395,7] = [x^4-x^3-7*x^2+6*x-1, [1,x,2*x^3-x^2-15*x+6,x^2-2,1]]; bsd[395,8] = 1/3 ; deg[395,8] = 127*137 ; dsc[395,8] = 2^16*73*199*9433*1782959 ; E [395,8] = [x^11-21*x^9+x^8+159*x^7-18*x^6-511*x^5+105*x^4+604*x^3-208*x^2-128*x+48, [32,32*x,x^10+2*x^9-25*x^8-33*x^7+221*x^6+176*x^5-823*x^4-317*x^3+1138*x^2+100*x-280,32*x^2-64,-32]]; bsd[396,1] = 0 ; deg[396,1] = 3 ; dsc[396,1] = 1 ; E [396,1] = [x, [1,0,0,0,-2]]; bsd[396,2] = 3 ; deg[396,2] = 3*5 ; dsc[396,2] = 1 ; E [396,2] = [x, [1,0,0,0,-2]]; bsd[396,3] = 1 ; deg[396,3] = 3*5 ; dsc[396,3] = 1 ; E [396,3] = [x, [1,0,0,0,3]]; bsd[397,1] = 0 ; deg[397,1] = 31 ; dsc[397,1] = 2^3 ; E [397,1] = [x^2+2*x-1, [1,x,0,-2*x-1,-2]]; bsd[397,2] = 1 ; deg[397,2] = 23 ; dsc[397,2] = 2^3 ; E [397,2] = [x^2-2*x-1, [1,x,-x+3,2*x-1,x-1]]; bsd[397,3] = 1/11 ; deg[397,3] = 761 ; dsc[397,3] = 2^3*97*317 ; E [397,3] = [x^5-6*x^3+x^2+7*x-1, [1,x,x+1,x^2-2,-x^3+4*x-1]]; bsd[397,4] = 1/3 ; deg[397,4] = 23*761 ; dsc[397,4] = 302609750073209 ; E [397,4] = [x^10-7*x^9+8*x^8+43*x^7-105*x^6-26*x^5+234*x^4-119*x^3-82*x^2+47*x+3, [11,11*x,23*x^9-107*x^8-72*x^7+841*x^6-418*x^5-1753*x^4+1294*x^3+699*x^2-407*x-52,11*x^2-22,-57*x^9+280*x^8+122*x^7-2166*x^6+1485*x^5+4342*x^4-4161*x^3-1409*x^2+1375*x+60]]; bsd[397,5] = 0 ; deg[397,5] = 31 ; dsc[397,5] = 83566618884497478937 ; E [397,5] = [x^13+7*x^12+5*x^11-63*x^10-124*x^9+157*x^8+526*x^7+2*x^6-794*x^5-328*x^4+408*x^3+203*x^2-66*x-23, [1325,1325*x,-356*x^12-1860*x^11+1790*x^10+20873*x^9+7163*x^8-83228*x^7-54465*x^6+141118*x^5+90693*x^4-99828*x^3-42657*x^2+25211*x+3304,1325*x^2-2650,-905*x^12-5175*x^11+1625*x^10+52165*x^9+45115*x^8-177365*x^7-223075*x^6+226040*x^5+335240*x^4-85665*x^3-149660*x^2+10230*x+13595]]; bsd[398,1] = 1 ; deg[398,1] = 5*11 ; dsc[398,1] = 1 ; E [398,1] = [x, [1,-1,2,1,-2]]; bsd[398,2] = 0 ; deg[398,2] = 11 ; dsc[398,2] = 5 ; E [398,2] = [x^2+x-1, [1,-1,x,1,0]]; bsd[398,3] = 0 ; deg[398,3] = 3^2*11 ; dsc[398,3] = 5 ; E [398,3] = [x^2+3*x+1, [1,1,x,1,-2*x-4]]; bsd[398,4] = 1/3 ; deg[398,4] = 3^3*11*1487 ; dsc[398,4] = 2^4*661*7841 ; E [398,4] = [x^6-x^5-14*x^4+5*x^3+54*x^2+9*x-27, [9,-9,9*x,9,3*x^5-9*x^4-27*x^3+63*x^2+69*x-45]]; bsd[398,5] = 149/5^2 ; deg[398,5] = 149 ; dsc[398,5] = 2^4*367*8867 ; E [398,5] = [x^6-3*x^5-6*x^4+21*x^3+2*x^2-21*x-5, [1,1,x,1,x^5-x^4-7*x^3+5*x^2+7*x+3]]; bsd[399,1] = 0 ; deg[399,1] = 3 ; dsc[399,1] = 1 ; E [399,1] = [x, [1,-1,-1,-1,0]]; bsd[399,2] = 1 ; deg[399,2] = 3*7 ; dsc[399,2] = 1 ; E [399,2] = [x, [1,-1,1,-1,4]]; bsd[399,3] = 0 ; deg[399,3] = 3*5 ; dsc[399,3] = 1 ; E [399,3] = [x, [1,1,-1,-1,0]]; bsd[399,4] = 1 ; deg[399,4] = 13 ; dsc[399,4] = 2^2*37 ; E [399,4] = [x^3-x^2-3*x+1, [1,x,-1,x^2-2,x^2-1]]; bsd[399,5] = 29 ; deg[399,5] = 7*11*29 ; dsc[399,5] = 2^2*101 ; E [399,5] = [x^3-x^2-7*x+9, [1,x,1,x^2-2,-x^2+5]]; bsd[399,6] = 3^2 ; deg[399,6] = 3^4 ; dsc[399,6] = 2^6*19*4079 ; E [399,6] = [x^5-x^4-8*x^3+6*x^2+13*x-3, [1,x,1,x^2-2,-x^3+5*x]]; bsd[399,7] = 13 ; deg[399,7] = 13*29 ; dsc[399,7] = 2^6*23029 ; E [399,7] = [x^5-3*x^4-4*x^3+14*x^2-3*x-1, [1,x,-1,x^2-2,x^4-3*x^3-4*x^2+13*x-1]]; bsd[400,1] = 0 ; deg[400,1] = 3 ; dsc[400,1] = 1 ; E [400,1] = [x, [1,0,-3,0,0]]; bsd[400,2] = 1 ; deg[400,2] = 5 ; dsc[400,2] = 1 ; E [400,2] = [x, [1,0,-2,0,0]]; bsd[400,3] = 1 ; deg[400,3] = 3 ; dsc[400,3] = 1 ; E [400,3] = [x, [1,0,-2,0,0]]; bsd[400,4] = 0 ; deg[400,4] = 3 ; dsc[400,4] = 1 ; E [400,4] = [x, [1,0,-1,0,0]]; bsd[400,5] = 0 ; deg[400,5] = 3 ; dsc[400,5] = 1 ; E [400,5] = [x, [1,0,0,0,0]]; bsd[400,6] = 1 ; deg[400,6] = 3 ; dsc[400,6] = 1 ; E [400,6] = [x, [1,0,1,0,0]]; bsd[400,7] = 1 ; deg[400,7] = 1 ; dsc[400,7] = 1 ; E [400,7] = [x, [1,0,2,0,0]]; bsd[400,8] = 1 ; deg[400,8] = 3*5 ; dsc[400,8] = 1 ; E [400,8] = [x, [1,0,3,0,0]]; bsd[401,1] = 0 ; deg[401,1] = 1 ; dsc[401,1] = 293^2*811*1218675071 ; E [401,1] = [x^12+3*x^11-10*x^10-34*x^9+29*x^8+129*x^7-24*x^6-203*x^5+x^4+130*x^3-5*x^2-22*x+4, [2,2*x,-4*x^11-8*x^10+42*x^9+86*x^8-132*x^7-302*x^6+126*x^5+422*x^4+10*x^3-228*x^2-34*x+26,2*x^2-4,11*x^11+23*x^10-120*x^9-248*x^8+417*x^7+863*x^6-548*x^5-1151*x^4+231*x^3+530*x^2+25*x-46]]; bsd[401,2] = 1/5^2 ; deg[401,2] = 1 ; dsc[401,2] = 2^8*5^2*19*163*71742740351*388881803749*34393898968391 ; E [401,2] = [x^21-35*x^19+521*x^17+2*x^16-4305*x^15-51*x^14+21617*x^13+519*x^12-67876*x^11-2749*x^10+132085*x^9+8292*x^8-152221*x^7-14353*x^6+93934*x^5+12831*x^4-24699*x^3-4111*x^2+1058*x-44, [2056085485264,2056085485264*x,-18286877149*x^20-11127199047*x^19+671572664904*x^18+329074794244*x^17-10577086239965*x^16-4006759400165*x^15+93133967532384*x^14+26143714096043*x^13-500633401464048*x^12-100786701349185*x^11+1682873453689943*x^10+245328747827630*x^9-3480210083621745*x^8-413112998448921*x^7+4180416582284798*x^6+521232062879477*x^5-2588114268141401*x^4-432724747315370*x^3+634884906799859*x^2+141291794379294*x-13174803927996,2056085485264*x^2-4112170970528,-11558616560*x^20+77610706560*x^19+283666114112*x^18-2464706175388*x^17-2180532836116*x^16+32493081708008*x^15-655542769400*x^14-230516536198200*x^13+103391507300528*x^12+955484402213296*x^11-643750072751116*x^10-2359122820599800*x^9+1839908471122876*x^8+3413196282552900*x^7-2694039963675884*x^6-2782917599515820*x^5+1916660988176096*x^4+1210103936451908*x^3-545729026560984*x^2-225557627625912*x+19165879147664]]; bsd[402,1] = 0 ; deg[402,1] = 1 ; dsc[402,1] = 1 ; E [402,1] = [x, [1,-1,-1,1,1]]; bsd[402,2] = 0 ; deg[402,2] = 3^2 ; dsc[402,2] = 1 ; E [402,2] = [x, [1,-1,1,1,-3]]; bsd[402,3] = 1 ; deg[402,3] = 1 ; dsc[402,3] = 1 ; E [402,3] = [x, [1,-1,1,1,2]]; bsd[402,4] = 1 ; deg[402,4] = 3 ; dsc[402,4] = 1 ; E [402,4] = [x, [1,1,-1,1,2]]; bsd[402,5] = 1 ; deg[402,5] = 23*37 ; dsc[402,5] = 2^2*3 ; E [402,5] = [x^2-12, [2,-2,-2,2,2*x]]; bsd[402,6] = 5 ; deg[402,6] = 5*37 ; dsc[402,6] = 41 ; E [402,6] = [x^2-x-10, [1,1,-1,1,x]]; bsd[402,7] = 1 ; deg[402,7] = 11 ; dsc[402,7] = 2^2*79 ; E [402,7] = [x^3-3*x^2-4*x+4, [2,2,2,2,2*x]]; bsd[403,1] = 1 ; deg[403,1] = 181 ; dsc[403,1] = 5 ; E [403,1] = [x^2-3*x+1, [1,x,-2,3*x-3,2*x-3]]; bsd[403,2] = 0 ; deg[403,2] = 11 ; dsc[403,2] = 5748973 ; E [403,2] = [x^6+2*x^5-7*x^4-13*x^3+6*x^2+7*x-3, [1,x,-x^5-3*x^4+5*x^3+19*x^2+6*x-8,x^2-2,3*x^5+8*x^4-17*x^3-51*x^2-8*x+18]]; bsd[403,3] = 1/7 ; deg[403,3] = 41 ; dsc[403,3] = 5*29*10836421 ; E [403,3] = [x^7-2*x^6-9*x^5+17*x^4+20*x^3-37*x^2+x+4, [1,x,x^5-3*x^4-3*x^3+13*x^2-6*x,x^2-2,-x^5+2*x^4+5*x^3-9*x^2-2*x+4]]; bsd[403,4] = 0 ; deg[403,4] = 1 ; dsc[403,4] = 3*17569752307 ; E [403,4] = [x^8+5*x^7-30*x^5-24*x^4+54*x^3+54*x^2-28*x-29, [1,x,-x^7-3*x^6+6*x^5+19*x^4-12*x^3-36*x^2+8*x+19,x^2-2,-x^5-2*x^4+5*x^3+7*x^2-6*x-6]]; bsd[403,5] = 1 ; deg[403,5] = 181 ; dsc[403,5] = 241*1373*623681 ; E [403,5] = [x^8+x^7-11*x^6-10*x^5+37*x^4+33*x^3-36*x^2-33*x-4, [1,x,-x^5-x^4+7*x^3+5*x^2-10*x-4,x^2-2,-x^7+10*x^5-x^4-29*x^3+25*x+8]]; bsd[404,1] = 1/3 ; deg[404,1] = 17 ; dsc[404,1] = 1 ; E [404,1] = [x, [1,0,-2,0,3]]; bsd[404,2] = 0 ; deg[404,2] = 3 ; dsc[404,2] = 1 ; E [404,2] = [x, [1,0,0,0,-1]]; bsd[404,3] = 3^3 ; deg[404,3] = 3^7*17 ; dsc[404,3] = 2^6*3^3*457*43951 ; E [404,3] = [x^7-2*x^6-17*x^5+36*x^4+64*x^3-148*x^2+11*x+58, [1,0,x,0,8*x^6+8*x^5-113*x^4-52*x^3+368*x^2-72*x-154]]; bsd[405,1] = 0 ; deg[405,1] = 3 ; dsc[405,1] = 1 ; E [405,1] = [x, [1,-2,0,2,-1]]; bsd[405,2] = 0 ; deg[405,2] = 3^2 ; dsc[405,2] = 1 ; E [405,2] = [x, [1,-1,0,-1,1]]; bsd[405,3] = 0 ; deg[405,3] = 3 ; dsc[405,3] = 1 ; E [405,3] = [x, [1,0,0,-2,-1]]; bsd[405,4] = 1/3 ; deg[405,4] = 3 ; dsc[405,4] = 1 ; E [405,4] = [x, [1,0,0,-2,1]]; bsd[405,5] = 0 ; deg[405,5] = 3 ; dsc[405,5] = 1 ; E [405,5] = [x, [1,1,0,-1,-1]]; bsd[405,6] = 1 ; deg[405,6] = 3^2 ; dsc[405,6] = 1 ; E [405,6] = [x, [1,2,0,2,1]]; bsd[405,7] = 0 ; deg[405,7] = 3^3*11 ; dsc[405,7] = 2^2*3 ; E [405,7] = [x^2+2*x-2, [1,x,0,-2*x,1]]; bsd[405,8] = 1 ; deg[405,8] = 3^3*11 ; dsc[405,8] = 2^2*3 ; E [405,8] = [x^2-2*x-2, [1,x,0,2*x,-1]]; bsd[405,9] = 1/3 ; deg[405,9] = 3^4 ; dsc[405,9] = 2^2*3*47 ; E [405,9] = [x^3+x^2-5*x-3, [1,x,0,x^2-2,-1]]; bsd[405,10] = 1/3 ; deg[405,10] = 3^4 ; dsc[405,10] = 2^2*3*47 ; E [405,10] = [x^3-x^2-5*x+3, [1,x,0,x^2-2,1]]; bsd[406,1] = 0 ; deg[406,1] = 3*5 ; dsc[406,1] = 1 ; E [406,1] = [x, [1,-1,0,1,0]]; bsd[406,2] = 0 ; deg[406,2] = 3 ; dsc[406,2] = 1 ; E [406,2] = [x, [1,-1,1,1,-3]]; bsd[406,3] = 5 ; deg[406,3] = 5 ; dsc[406,3] = 1 ; E [406,3] = [x, [1,-1,2,1,2]]; bsd[406,4] = 0 ; deg[406,4] = 1 ; dsc[406,4] = 1 ; E [406,4] = [x, [1,1,-1,1,-3]]; bsd[406,5] = 13 ; deg[406,5] = 3*13 ; dsc[406,5] = 2^2*3 ; E [406,5] = [x^2-2*x-2, [1,1,2,1,x]]; bsd[406,6] = 1 ; deg[406,6] = 5^2 ; dsc[406,6] = 2^3*71 ; E [406,6] = [x^3-x^2-8*x+4, [2,-2,2*x,2,x^2-x-2]]; bsd[406,7] = 1 ; deg[406,7] = 7 ; dsc[406,7] = 2^4*2837 ; E [406,7] = [x^4-x^3-10*x^2+4*x+8, [4,4,4*x,4,x^3-3*x^2-8*x+12]]; bsd[407,1] = 0 ; deg[407,1] = 7 ; dsc[407,1] = 19*103 ; E [407,1] = [x^4+x^3-4*x^2+1, [1,x,x^3+x^2-4*x,x^2-2,-x^3-x^2+3*x]]; bsd[407,2] = 0 ; deg[407,2] = 3*7 ; dsc[407,2] = 19*103 ; E [407,2] = [x^4-x^3-4*x^2+2*x+3, [1,x,-x^3+x^2+2*x-2,x^2-2,x^3-x^2-3*x]]; bsd[407,3] = 1/3 ; deg[407,3] = 3*5 ; dsc[407,3] = 2^6*3^3*5*5249939*286752041 ; E [407,3] = [x^11-2*x^10-16*x^9+32*x^8+89*x^7-179*x^6-201*x^5+407*x^4+168*x^3-333*x^2-51*x+75, [59,59*x,10*x^10-x^9-156*x^8+831*x^6+78*x^5-1732*x^4-330*x^3+1171*x^2+305*x-196,59*x^2-118,-83*x^10+26*x^9+1342*x^8-354*x^7-7564*x^6+1630*x^5+17420*x^4-2512*x^3-14457*x^2+448*x+3090]]; bsd[407,4] = 17/19 ; deg[407,4] = 17*41 ; dsc[407,4] = 2^8*3^8*11*23251260729959 ; E [407,4] = [x^12-x^11-18*x^10+18*x^9+111*x^8-104*x^7-274*x^6+212*x^5+255*x^4-129*x^3-78*x^2+4*x+1, [249,249*x,-370*x^11+52*x^10+6619*x^9-934*x^8-40324*x^7+3261*x^6+94670*x^5+5092*x^4-67508*x^3-10735*x^2+3599*x-198,249*x^2-498,142*x^11+11*x^10-2512*x^9-188*x^8+15010*x^7+2112*x^6-33614*x^5-10396*x^4+19526*x^3+11563*x^2+2806*x-492]]; bsd[408,1] = 1 ; deg[408,1] = 3*5 ; dsc[408,1] = 1 ; E [408,1] = [x, [1,0,-1,0,3]]; bsd[408,2] = 0 ; deg[408,2] = 5 ; dsc[408,2] = 1 ; E [408,2] = [x, [1,0,1,0,-3]]; bsd[408,3] = 1 ; deg[408,3] = 1 ; dsc[408,3] = 1 ; E [408,3] = [x, [1,0,1,0,0]]; bsd[408,4] = 1 ; deg[408,4] = 1 ; dsc[408,4] = 1 ; E [408,4] = [x, [1,0,1,0,2]]; bsd[408,5] = 0 ; deg[408,5] = 1 ; dsc[408,5] = 17 ; E [408,5] = [x^2+x-4, [1,0,-1,0,x]]; bsd[408,6] = 3 ; deg[408,6] = 3 ; dsc[408,6] = 3*19 ; E [408,6] = [x^2+x-14, [1,0,1,0,x]]; bsd[409,1] = 0 ; deg[409,1] = 1 ; dsc[409,1] = 3^3*1667*14884451*18631199 ; E [409,1] = [x^13+6*x^12+2*x^11-47*x^10-64*x^9+117*x^8+226*x^7-94*x^6-278*x^5+9*x^4+134*x^3+15*x^2-22*x-4, [2,2*x,x^12+4*x^11-10*x^10-51*x^9+28*x^8+237*x^7+2*x^6-482*x^5-90*x^4+397*x^3+68*x^2-97*x-14,2*x^2-4,6*x^12+38*x^11+28*x^10-256*x^9-474*x^8+416*x^7+1392*x^6+204*x^5-1234*x^4-568*x^3+268*x^2+182*x+18]]; bsd[409,2] = 1/17 ; deg[409,2] = 1 ; dsc[409,2] = 2^6*17*1741*2341*537071*1334964067081334453235547 ; E [409,2] = [x^20-5*x^19-19*x^18+126*x^17+100*x^16-1283*x^15+247*x^14+6767*x^13-4554*x^12-19689*x^11+18771*x^10+31011*x^9-35515*x^8-23548*x^7+31466*x^6+5354*x^5-10552*x^4+1129*x^3+523*x^2-54*x-4, [325701783112,325701783112*x,11812328750*x^19-63096638684*x^18-215373165502*x^17+1597444230542*x^16+963041912526*x^15-16403787944064*x^14+4996875974310*x^13+87889886949412*x^12-63677701703656*x^11-263662135334682*x^10+245697889289408*x^9+442423956371606*x^8-444892572187184*x^7-388864831608768*x^6+373223863936896*x^5+143835668304216*x^4-112155750438332*x^3-4652447369642*x^2+3548691409488*x-352521223808,325701783112*x^2-651403566224,-5121572214*x^19+18153465318*x^18+120597791866*x^17-458758295362*x^16-1103708506020*x^15+4694022447154*x^14+4783694846104*x^13-24961450776400*x^12-8497952428330*x^11+73709427228846*x^10-4905578894040*x^9-119950803496510*x^8+43634043310246*x^7+100969563351864*x^6-65739948763678*x^5-39764792698316*x^4+39383915369886*x^3+8221074565878*x^2-7583998094308*x-271903185440]]; bsd[410,1] = 1/3 ; deg[410,1] = 1 ; dsc[410,1] = 1 ; E [410,1] = [x, [1,-1,-2,1,1]]; bsd[410,2] = 0 ; deg[410,2] = 3 ; dsc[410,2] = 1 ; E [410,2] = [x, [1,-1,0,1,1]]; bsd[410,3] = 0 ; deg[410,3] = 1 ; dsc[410,3] = 1 ; E [410,3] = [x, [1,1,-2,1,-1]]; bsd[410,4] = 3 ; deg[410,4] = 3^2 ; dsc[410,4] = 1 ; E [410,4] = [x, [1,1,0,1,1]]; bsd[410,5] = 0 ; deg[410,5] = 5 ; dsc[410,5] = 2^2*5 ; E [410,5] = [x^2+2*x-4, [1,-1,x,1,-1]]; bsd[410,6] = 1/3 ; deg[410,6] = 13 ; dsc[410,6] = 2^2*3 ; E [410,6] = [x^2-2*x-2, [1,-1,x,1,-1]]; bsd[410,7] = 1 ; deg[410,7] = 1 ; dsc[410,7] = 2^2*17 ; E [410,7] = [x^2-2*x-16, [1,-1,2,1,1]]; bsd[410,8] = 3 ; deg[410,8] = 3^2*5 ; dsc[410,8] = 2^3*3 ; E [410,8] = [x^2-6, [1,1,x,1,1]]; bsd[410,9] = 11/3 ; deg[410,9] = 7*11 ; dsc[410,9] = 2^4*101 ; E [410,9] = [x^3-8*x+4, [1,1,x,1,-1]]; bsd[411,1] = 0 ; deg[411,1] = 71 ; dsc[411,1] = 3^4 ; E [411,1] = [x^3+3*x^2-3, [1,x,1,x^2-2,-x^2-2*x-1]]; bsd[411,2] = 0 ; deg[411,2] = 29 ; dsc[411,2] = 7^2 ; E [411,2] = [x^3-x^2-2*x+1, [1,x,-1,x^2-2,-x^2+1]]; bsd[411,3] = 31 ; deg[411,3] = 31*47 ; dsc[411,3] = 13^2 ; E [411,3] = [x^3-2*x^2-3*x+5, [1,2,1,2,x]]; bsd[411,4] = 19/23 ; deg[411,4] = 19*47 ; dsc[411,4] = 2^2*181*487 ; E [411,4] = [x^5+x^4-7*x^3-10*x^2+1, [1,x,1,x^2-2,-x^4-x^3+7*x^2+9*x+1]]; bsd[411,5] = 1 ; deg[411,5] = 7753 ; dsc[411,5] = 2^2*5*11*331*9285238663 ; E [411,5] = [x^9-16*x^7+x^6+82*x^5-9*x^4-141*x^3+18*x^2+52*x+8, [16,16*x,-16,16*x^2-32,-2*x^8+32*x^6-10*x^5-172*x^4+90*x^3+330*x^2-164*x-96]]; bsd[412,1] = 0 ; deg[412,1] = 3^2*5 ; dsc[412,1] = 5 ; E [412,1] = [x^2+2*x-4, [2,0,2*x,0,-2*x-4]]; bsd[412,2] = 0 ; deg[412,2] = 3^2*5 ; dsc[412,2] = 3*7 ; E [412,2] = [x^2+x-5, [1,0,-1,0,x]]; bsd[412,3] = 1 ; deg[412,3] = 3^4 ; dsc[412,3] = 5^2*89 ; E [412,3] = [x^4-2*x^3-5*x^2+6*x+4, [2,0,2*x,0,x^3-3*x^2-2*x+8]]; bsd[413,1] = 1 ; deg[413,1] = 11*19 ; dsc[413,1] = 5 ; E [413,1] = [x^2-5, [2,2*x,x-1,6,2*x+2]]; bsd[413,2] = 1 ; deg[413,2] = 7*73 ; dsc[413,2] = 229 ; E [413,2] = [x^3-3*x^2-x+4, [1,-1,x,-1,2*x-2]]; bsd[413,3] = 0 ; deg[413,3] = 1 ; dsc[413,3] = 36497 ; E [413,3] = [x^5+2*x^4-3*x^3-5*x^2+x+1, [1,x,-x^3-x^2+3*x,x^2-2,x^4+2*x^3-3*x^2-5*x+1]]; bsd[413,4] = 0 ; deg[413,4] = 661 ; dsc[413,4] = 61*397 ; E [413,4] = [x^5-5*x^3-x^2+5*x+1, [1,x,x^3-x^2-3*x,x^2-2,-x^4+3*x^2+x-1]]; bsd[413,5] = 1 ; deg[413,5] = 11*73*227 ; dsc[413,5] = 19*31*877 ; E [413,5] = [x^5-4*x^4-3*x^3+29*x^2-35*x+11, [1,x,-x^3+x^2+7*x-6,x^2-2,x^4-2*x^3-7*x^2+15*x-5]]; bsd[413,6] = 1/3*5 ; deg[413,6] = 1 ; dsc[413,6] = 2^4*71*128345656267 ; E [413,6] = [x^9-13*x^7+x^6+54*x^5-7*x^4-75*x^3+9*x^2+17*x-3, [8,8*x,-3*x^8+x^7+40*x^6-11*x^5-169*x^4+28*x^3+229*x^2+6*x-25,8*x^2-16,-2*x^8-2*x^7+24*x^6+22*x^5-94*x^4-72*x^3+134*x^2+68*x-30]]; bsd[414,1] = 0 ; deg[414,1] = 1 ; dsc[414,1] = 1 ; E [414,1] = [x, [1,-1,0,1,-2]]; bsd[414,2] = 0 ; deg[414,2] = 5 ; dsc[414,2] = 1 ; E [414,2] = [x, [1,1,0,1,-4]]; bsd[414,3] = 1 ; deg[414,3] = 1 ; dsc[414,3] = 1 ; E [414,3] = [x, [1,1,0,1,0]]; bsd[414,4] = 1 ; deg[414,4] = 1 ; dsc[414,4] = 1 ; E [414,4] = [x, [1,1,0,1,2]]; bsd[414,5] = 1/3 ; deg[414,5] = 3*7 ; dsc[414,5] = 2^2*7 ; E [414,5] = [x^2+2*x-6, [1,-1,0,1,x]]; bsd[414,6] = 1 ; deg[414,6] = 11 ; dsc[414,6] = 2^2*5 ; E [414,6] = [x^2-2*x-4, [1,-1,0,1,x]]; bsd[414,7] = 7/3 ; deg[414,7] = 7 ; dsc[414,7] = 2^2*7 ; E [414,7] = [x^2-2*x-6, [1,1,0,1,x]]; bsd[415,1] = 1 ; deg[415,1] = 7 ; dsc[415,1] = 1 ; E [415,1] = [x, [1,1,3,-1,1]]; bsd[415,2] = 0 ; deg[415,2] = 11 ; dsc[415,2] = 5 ; E [415,2] = [x^2+x-1, [1,x,-x-1,-x-1,1]]; bsd[415,3] = 1 ; deg[415,3] = 1069 ; dsc[415,3] = 7783241 ; E [415,3] = [x^6-2*x^5-5*x^4+9*x^3+5*x^2-6*x-1, [1,x,-x^4+x^3+5*x^2-3*x-3,x^2-2,-1]]; bsd[415,4] = 0 ; deg[415,4] = 1 ; dsc[415,4] = 2^2*67*307*8737 ; E [415,4] = [x^7+3*x^6-6*x^5-19*x^4+9*x^3+28*x^2-4*x-8, [4,4*x,-x^6-x^5+8*x^4+3*x^3-19*x^2+2*x+8,4*x^2-8,-4]]; bsd[415,5] = 1/7 ; deg[415,5] = 7 ; dsc[415,5] = 20443*2858840461328963 ; E [415,5] = [x^11-20*x^9-x^8+146*x^7+15*x^6-464*x^5-76*x^4+567*x^3+136*x^2-100*x-8, [4,4*x,-4*x^10-7*x^9+65*x^8+119*x^7-332*x^6-656*x^5+483*x^4+1195*x^3+213*x^2-186*x-24,4*x^2-8,4]]; bsd[416,1] = 0 ; deg[416,1] = 1 ; dsc[416,1] = 1 ; E [416,1] = [x, [1,0,-1,0,1]]; bsd[416,2] = 1 ; deg[416,2] = 1 ; dsc[416,2] = 1 ; E [416,2] = [x, [1,0,1,0,1]]; bsd[416,3] = 0 ; deg[416,3] = 1 ; dsc[416,3] = 17 ; E [416,3] = [x^2+x-4, [1,0,x,0,-x-2]]; bsd[416,4] = 1 ; deg[416,4] = 5 ; dsc[416,4] = 2^2*5 ; E [416,4] = [x^2-5, [1,0,x,0,3]]; bsd[416,5] = 1 ; deg[416,5] = 1 ; dsc[416,5] = 17 ; E [416,5] = [x^2-x-4, [1,0,x,0,x-2]]; bsd[416,6] = 1 ; deg[416,6] = 1 ; dsc[416,6] = 2^7*41^2 ; E [416,6] = [x^4-13*x^2+32, [2,0,2*x,0,-2*x^2+12]]; bsd[417,1] = 1 ; deg[417,1] = 3^2 ; dsc[417,1] = 1 ; E [417,1] = [x, [1,1,-1,-1,2]]; bsd[417,2] = 0 ; deg[417,2] = 19 ; dsc[417,2] = 5 ; E [417,2] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[417,3] = 1 ; deg[417,3] = 37 ; dsc[417,3] = 229 ; E [417,3] = [x^3-2*x^2-4*x+7, [1,x^2-4,-1,x,-x^2+x+4]]; bsd[417,4] = 13/7 ; deg[417,4] = 13*173 ; dsc[417,4] = 229 ; E [417,4] = [x^3-2*x^2-4*x+7, [1,x^2-4,1,x,-x^2-x+6]]; bsd[417,5] = 0 ; deg[417,5] = 29 ; dsc[417,5] = 2^2*383*510553 ; E [417,5] = [x^7+3*x^6-6*x^5-19*x^4+9*x^3+30*x^2-8, [4,4*x,-4,4*x^2-8,2*x^6+4*x^5-14*x^4-22*x^3+24*x^2+22*x-4]]; bsd[417,6] = 7/5 ; deg[417,6] = 7*173 ; dsc[417,6] = 2^7*7*20062073 ; E [417,6] = [x^7-14*x^5+2*x^4+57*x^3-14*x^2-56*x+8, [4,4*x,4,4*x^2-8,-2*x^3+14*x-4]]; bsd[418,1] = 0 ; deg[418,1] = 13 ; dsc[418,1] = 1 ; E [418,1] = [x, [1,1,-1,1,-2]]; bsd[418,2] = 1 ; deg[418,2] = 5 ; dsc[418,2] = 1 ; E [418,2] = [x, [1,1,0,1,2]]; bsd[418,3] = 1 ; deg[418,3] = 7 ; dsc[418,3] = 1 ; E [418,3] = [x, [1,1,3,1,-2]]; bsd[418,4] = 0 ; deg[418,4] = 3^2 ; dsc[418,4] = 13 ; E [418,4] = [x^2+3*x-1, [1,-1,x,1,-x-2]]; bsd[418,5] = 1 ; deg[418,5] = 43 ; dsc[418,5] = 17 ; E [418,5] = [x^2-x-4, [1,-1,x,1,2]]; bsd[418,6] = 3 ; deg[418,6] = 3^2*5^2*7 ; dsc[418,6] = 3*7 ; E [418,6] = [x^2+x-5, [1,1,x,1,x+2]]; bsd[418,7] = 0 ; deg[418,7] = 7 ; dsc[418,7] = 3^3*23 ; E [418,7] = [x^3-6*x-3, [1,-1,x,1,-x^2+3]]; bsd[418,8] = 7 ; deg[418,8] = 7^2 ; dsc[418,8] = 7*67 ; E [418,8] = [x^3-x^2-5*x+4, [1,1,x,1,-x+2]]; bsd[419,1] = 0 ; deg[419,1] = 1 ; dsc[419,1] = 167*971*493657 ; E [419,1] = [x^9+2*x^8-7*x^7-13*x^6+15*x^5+25*x^4-9*x^3-15*x^2-x+1, [1,x,x^8+x^7-8*x^6-5*x^5+21*x^4+5*x^3-19*x^2+3,x^2-2,x^8+2*x^7-7*x^6-13*x^5+15*x^4+24*x^3-10*x^2-12*x]]; bsd[419,2] = 1/11*19 ; deg[419,2] = 1 ; dsc[419,2] = 2^9*17*43*113*151*20375986548898473293*53097073649092855361102575237 ; E [419,2] = [x^26-2*x^25-43*x^24+85*x^23+807*x^22-1571*x^21-8689*x^20+16575*x^19+59362*x^18-110217*x^17-268789*x^16+481513*x^15+817911*x^14-1398615*x^13-1658267*x^12+2674771*x^11+2166607*x^10-3262315*x^9-1701132*x^8+2384864*x^7+697992*x^6-932912*x^5-104448*x^4+158080*x^3-4736*x^2-6656*x+512, [618506107859120384,618506107859120384*x,11600552657805477*x^25-2891839316330590*x^24-489898657622267755*x^23+107914954606597717*x^22+8985089110311196755*x^21-1677761853489598063*x^20-93908850339439447893*x^19+13918818822044869947*x^18+617042949329544908962*x^17-64913077960712591713*x^16-2653463884228242370997*x^15+158054791007502082829*x^14+7542124894930787266803*x^13-114826826055616751971*x^12-13997662661670064334423*x^11-303774076907980503369*x^10+16402726266989189697963*x^9+721388016885671188593*x^8-11432624304846526332780*x^7-525686749144280326660*x^6+4272834868233016475744*x^5+99655118161125418016*x^4-701435265347009788032*x^3+22235921273339580352*x^2+29490143079012905216*x-2407322228952341760,618506107859120384*x^2-1237012215718240768,-15339110851698681*x^25+6639531907836972*x^24+647804819296844439*x^23-261094882733415019*x^22-11883707853507702469*x^21+4379051822405265577*x^20+124269331201630752739*x^19-40851748330058436361*x^18-817414218000152567460*x^17+232298733292163357085*x^16+3522271328534996747539*x^15-833773198676597351211*x^14-10047619638821988328637*x^13+1911697358637588946733*x^12+18759839398286226300949*x^11-2833518240599129473281*x^10-22190495513779505976209*x^9+2802903817103605614913*x^8+15677495473237869454006*x^7-1900167214487228029696*x^6-5965979606213229963592*x^5+817510334469492688304*x^4+1004933506667967447328*x^3-167822538010875269056*x^2-45942578295517062784*x+5926487262909015296]]; bsd[420,1] = 3 ; deg[420,1] = 3*5*7 ; dsc[420,1] = 1 ; E [420,1] = [x, [1,0,-1,0,-1]]; bsd[420,2] = 1 ; deg[420,2] = 3*5 ; dsc[420,2] = 1 ; E [420,2] = [x, [1,0,-1,0,1]]; bsd[420,3] = 1 ; deg[420,3] = 3^2 ; dsc[420,3] = 1 ; E [420,3] = [x, [1,0,1,0,-1]]; bsd[420,4] = 1 ; deg[420,4] = 3 ; dsc[420,4] = 1 ; E [420,4] = [x, [1,0,1,0,1]]; bsd[421,1] = 0 ; deg[421,1] = 1 ; dsc[421,1] = 3*857459*144211946777593109 ; E [421,1] = [x^15+6*x^14-2*x^13-71*x^12-74*x^11+296*x^10+488*x^9-494*x^8-1157*x^7+205*x^6+1137*x^5+203*x^4-374*x^3-127*x^2+3*x+3, [24617,24617*x,-25193*x^14-139169*x^13+111469*x^12+1714563*x^11+1101947*x^10-7699217*x^9-8792218*x^8+15213141*x^7+21912927*x^6-12318890*x^5-22124776*x^4+1991679*x^3+7618866*x^2+844015*x-229186,24617*x^2-49234,22400*x^14+122208*x^13-106252*x^12-1516251*x^11-900656*x^10+6884713*x^9+7511320*x^8-13885777*x^7-18990607*x^6+11807197*x^5+19349004*x^4-2528241*x^3-6727668*x^2-555389*x+212047]]; bsd[421,2] = 1/5*7 ; deg[421,2] = 1 ; dsc[421,2] = 2^4*31*557*4729*825403*2328579379136648917067 ; E [421,2] = [x^19-4*x^18-20*x^17+93*x^16+145*x^15-874*x^14-402*x^13+4263*x^12-159*x^11-11551*x^10+3133*x^9+17375*x^8-5935*x^7-14018*x^6+4016*x^5+5896*x^4-1088*x^3-1185*x^2+101*x+89, [18235058,18235058*x,2861102*x^18-4909510*x^17-77100930*x^16+123043292*x^15+866376364*x^14-1268952028*x^13-5250245152*x^12+6943683190*x^11+18512299508*x^10-21631533850*x^9-38164461826*x^8+38069710030*x^7+43922664732*x^6-34928343146*x^5-25767235658*x^4+13753078464*x^3+7205220666*x^2-1747943046*x-730080762,18235058*x^2-36470116,1756218*x^18-3976489*x^17-42864974*x^16+93225979*x^15+430254627*x^14-886208792*x^13-2297447469*x^12+4392300162*x^11+7059201980*x^10-12170815053*x^9-12628043807*x^8+18853961126*x^7+12727252072*x^6-15616138215*x^5-6676576296*x^4+6319228471*x^3+1617841080*x^2-881163033*x-131854079]]; bsd[422,1] = 0 ; deg[422,1] = 3 ; dsc[422,1] = 1 ; E [422,1] = [x, [1,-1,0,1,1]]; bsd[422,2] = 1 ; deg[422,2] = 11*19*29 ; dsc[422,2] = 5 ; E [422,2] = [x^2-3*x+1, [1,-1,x,1,-2*x+4]]; bsd[422,3] = 0 ; deg[422,3] = 3*7^2 ; dsc[422,3] = 257 ; E [422,3] = [x^3+x^2-8*x-3, [3,-3,3*x,3,-x^2-2*x]]; bsd[422,4] = 1/3 ; deg[422,4] = 23*29 ; dsc[422,4] = 5*157 ; E [422,4] = [x^3+x^2-6*x-5, [1,-1,x,1,x^2-4]]; bsd[422,5] = 0 ; deg[422,5] = 223 ; dsc[422,5] = 7^2 ; E [422,5] = [x^3+5*x^2+6*x+1, [1,1,x,1,x^2+2*x-2]]; bsd[422,6] = 41/53 ; deg[422,6] = 41 ; dsc[422,6] = 43983893 ; E [422,6] = [x^6-4*x^5-4*x^4+28*x^3-15*x^2-33*x+28, [1,1,x,1,-4*x^5+10*x^4+31*x^3-66*x^2-38*x+77]]; bsd[423,1] = 0 ; deg[423,1] = 1 ; dsc[423,1] = 1 ; E [423,1] = [x, [1,-2,0,2,-3]]; bsd[423,2] = 0 ; deg[423,2] = 3 ; dsc[423,2] = 1 ; E [423,2] = [x, [1,-2,0,2,1]]; bsd[423,3] = 0 ; deg[423,3] = 1 ; dsc[423,3] = 1 ; E [423,3] = [x, [1,0,0,-2,1]]; bsd[423,4] = 0 ; deg[423,4] = 3 ; dsc[423,4] = 1 ; E [423,4] = [x, [1,1,0,-1,-2]]; bsd[423,5] = 1 ; deg[423,5] = 3 ; dsc[423,5] = 1 ; E [423,5] = [x, [1,1,0,-1,0]]; bsd[423,6] = 1 ; deg[423,6] = 7 ; dsc[423,6] = 1 ; E [423,6] = [x, [1,2,0,2,3]]; bsd[423,7] = 1 ; deg[423,7] = 3 ; dsc[423,7] = 1 ; E [423,7] = [x, [1,2,0,2,3]]; bsd[423,8] = 1 ; deg[423,8] = 43 ; dsc[423,8] = 17 ; E [423,8] = [x^2-x-4, [1,x,0,x+2,x-1]]; bsd[423,9] = 0 ; deg[423,9] = 1 ; dsc[423,9] = 2^2*79 ; E [423,9] = [x^3+2*x^2-3*x-2, [1,x,0,x^2-2,-x-1]]; bsd[423,10] = 1 ; deg[423,10] = 3^3 ; dsc[423,10] = 2^2*79 ; E [423,10] = [x^3-2*x^2-3*x+2, [1,x,0,x^2-2,-x+1]]; bsd[423,11] = 1 ; deg[423,11] = 3*7*43 ; dsc[423,11] = 19*103 ; E [423,11] = [x^4+x^3-5*x^2-5*x-1, [1,x,0,x^2-2,-4*x^3-2*x^2+20*x+10]]; bsd[424,1] = 0 ; deg[424,1] = 1 ; dsc[424,1] = 2^3 ; E [424,1] = [x^2+2*x-1, [1,0,x,0,-2]]; bsd[424,2] = 0 ; deg[424,2] = 1 ; dsc[424,2] = 2^2*37 ; E [424,2] = [x^3+x^2-3*x-1, [1,0,x,0,-x^2-2*x+1]]; bsd[424,3] = 1 ; deg[424,3] = 1 ; dsc[424,3] = 2^2*79 ; E [424,3] = [x^3-2*x^2-3*x+2, [1,0,x,0,-x^2+2*x+3]]; bsd[424,4] = 1 ; deg[424,4] = 1 ; dsc[424,4] = 2^2*11*98207 ; E [424,4] = [x^5-x^4-13*x^3+9*x^2+42*x-16, [2,0,2*x,0,x^4-x^3-7*x^2+5*x+4]]; bsd[425,1] = 0 ; deg[425,1] = 3 ; dsc[425,1] = 1 ; E [425,1] = [x, [1,-1,-2,-1,0]]; bsd[425,2] = 0 ; deg[425,2] = 3 ; dsc[425,2] = 1 ; E [425,2] = [x, [1,-1,1,-1,0]]; bsd[425,3] = 0 ; deg[425,3] = 3*5 ; dsc[425,3] = 1 ; E [425,3] = [x, [1,1,-1,-1,0]]; bsd[425,4] = 0 ; deg[425,4] = 1 ; dsc[425,4] = 1 ; E [425,4] = [x, [1,1,0,-1,0]]; bsd[425,5] = 1 ; deg[425,5] = 3^2 ; dsc[425,5] = 2^2*3 ; E [425,5] = [x^2-3, [1,x,-x-1,1,0]]; bsd[425,6] = 1 ; deg[425,6] = 3^2 ; dsc[425,6] = 2^3 ; E [425,6] = [x^2-2*x-1, [1,x,-x+3,2*x-1,0]]; bsd[425,7] = 0 ; deg[425,7] = 5 ; dsc[425,7] = 2^4*389 ; E [425,7] = [x^4+2*x^3-4*x^2-8*x-1, [1,x,-x^3-x^2+4*x+2,x^2-2,0]]; bsd[425,8] = 1 ; deg[425,8] = 5^3 ; dsc[425,8] = 2^4*389 ; E [425,8] = [x^4-2*x^3-4*x^2+8*x-1, [1,x,-x^3+x^2+4*x-2,x^2-2,0]]; bsd[425,9] = 1/5 ; deg[425,9] = 3^4*5 ; dsc[425,9] = 2^4*3^5*487 ; E [425,9] = [x^5+x^4-10*x^3-6*x^2+21*x-3, [2,2*x,-x^3+x^2+7*x-5,2*x^2-4,0]]; bsd[425,10] = 3 ; deg[425,10] = 3^4*5^3 ; dsc[425,10] = 2^4*3^5*487 ; E [425,10] = [x^5-x^4-10*x^3+6*x^2+21*x+3, [2,2*x,-x^3-x^2+7*x+5,2*x^2-4,0]]; bsd[426,1] = 0 ; deg[426,1] = 3*5 ; dsc[426,1] = 1 ; E [426,1] = [x, [1,-1,-1,1,-2]]; bsd[426,2] = 5/3 ; deg[426,2] = 3^2*5 ; dsc[426,2] = 1 ; E [426,2] = [x, [1,-1,1,1,3]]; bsd[426,3] = 1 ; deg[426,3] = 5 ; dsc[426,3] = 1 ; E [426,3] = [x, [1,1,1,1,1]]; bsd[426,4] = 1 ; deg[426,4] = 7*31 ; dsc[426,4] = 2^3 ; E [426,4] = [x^2-2*x-7, [2,-2,-2,2,2*x]]; bsd[426,5] = 1 ; deg[426,5] = 1 ; dsc[426,5] = 17 ; E [426,5] = [x^2+3*x-2, [1,-1,1,1,x]]; bsd[426,6] = 11 ; deg[426,6] = 5*11 ; dsc[426,6] = 2^3*71 ; E [426,6] = [x^3-4*x^2-3*x+10, [2,2,-2,2,2*x]]; bsd[426,7] = 7*19 ; deg[426,7] = 7^2*19 ; dsc[426,7] = 2^2*7*67 ; E [426,7] = [x^3-x^2-12*x+4, [2,2,2,2,2*x]]; bsd[427,1] = 0 ; deg[427,1] = 3^2 ; dsc[427,1] = 1 ; E [427,1] = [x, [1,-1,1,-1,0]]; bsd[427,2] = 1 ; deg[427,2] = 11 ; dsc[427,2] = 1 ; E [427,2] = [x, [1,0,2,-2,4]]; bsd[427,3] = 0 ; deg[427,3] = 7 ; dsc[427,3] = 1 ; E [427,3] = [x, [1,1,1,-1,-4]]; bsd[427,4] = 0 ; deg[427,4] = 7*139 ; dsc[427,4] = 3^3*175327 ; E [427,4] = [x^6+5*x^5+2*x^4-22*x^3-30*x^2+9, [3,3*x,-x^5-5*x^4+x^3+25*x^2+12*x-15,3*x^2-6,3*x^5+9*x^4-12*x^3-45*x^2-6*x+18]]; bsd[427,5] = 0 ; deg[427,5] = 3^2 ; dsc[427,5] = 5*163*9491 ; E [427,5] = [x^6+5*x^5+2*x^4-18*x^3-12*x^2+18*x+5, [1,x,x^5+3*x^4-3*x^3-9*x^2+4*x+3,x^2-2,-x^5-3*x^4+2*x^3+7*x^2-2*x-2]]; bsd[427,6] = 7/31 ; deg[427,6] = 7*11 ; dsc[427,6] = 761860861 ; E [427,6] = [x^7-4*x^6-3*x^5+26*x^4-12*x^3-38*x^2+23*x+11, [1,x,-2*x^6+5*x^5+13*x^4-31*x^3-21*x^2+38*x+13,x^2-2,x^6-2*x^5-7*x^4+12*x^3+13*x^2-14*x-7]]; bsd[427,7] = 1 ; deg[427,7] = 313 ; dsc[427,7] = 3*5^4*64663382527 ; E [427,7] = [x^9-5*x^8-3*x^7+45*x^6-32*x^5-108*x^4+123*x^3+30*x^2-43*x+4, [16,16*x,-5*x^8+18*x^7+37*x^6-170*x^5-30*x^4+434*x^3-161*x^2-161*x+28,16*x^2-32,2*x^8-4*x^7-18*x^6+20*x^5+60*x^4+12*x^3-86*x^2-86*x+40]]; bsd[428,1] = 0 ; deg[428,1] = 3^2 ; dsc[428,1] = 1 ; E [428,1] = [x, [1,0,-1,0,2]]; bsd[428,2] = 3 ; deg[428,2] = 3^3 ; dsc[428,2] = 1 ; E [428,2] = [x, [1,0,1,0,2]]; bsd[428,3] = 0 ; deg[428,3] = 3^3 ; dsc[428,3] = 13 ; E [428,3] = [x^2+3*x-1, [1,0,x,0,-x-2]]; bsd[428,4] = 1 ; deg[428,4] = 3^6 ; dsc[428,4] = 3^3*5*12979 ; E [428,4] = [x^5-5*x^4-2*x^3+32*x^2-10*x-43, [3,0,3*x,0,-2*x^4+5*x^3+12*x^2-19*x-17]]; bsd[429,1] = 0 ; deg[429,1] = 1 ; dsc[429,1] = 1 ; E [429,1] = [x, [1,-1,-1,-1,0]]; bsd[429,2] = 0 ; deg[429,2] = 1 ; dsc[429,2] = 1 ; E [429,2] = [x, [1,-1,1,-1,-2]]; bsd[429,3] = 0 ; deg[429,3] = 7*23 ; dsc[429,3] = 2^3 ; E [429,3] = [x^2+2*x-1, [1,x,1,-2*x-1,x-1]]; bsd[429,4] = 0 ; deg[429,4] = 3 ; dsc[429,4] = 2^2*3 ; E [429,4] = [x^2-3, [1,x,-1,1,-x-1]]; bsd[429,5] = 1 ; deg[429,5] = 3^2*43 ; dsc[429,5] = 2^2*3*47 ; E [429,5] = [x^3+x^2-5*x-3, [1,x,-1,x^2-2,x^2+x-4]]; bsd[429,6] = 1 ; deg[429,6] = 5 ; dsc[429,6] = 2^2*37 ; E [429,6] = [x^3-x^2-3*x+1, [1,x,1,x^2-2,-x^2+x+2]]; bsd[429,7] = 5 ; deg[429,7] = 5^3 ; dsc[429,7] = 2^2*37 ; E [429,7] = [x^3-3*x^2-x+5, [1,x,1,x^2-2,-x^2+x+4]]; bsd[429,8] = 1 ; deg[429,8] = 379 ; dsc[429,8] = 2^4*29*73 ; E [429,8] = [x^4+2*x^3-6*x^2-12*x-1, [1,x,-1,x^2-2,x^3-6*x-1]]; bsd[430,1] = 0 ; deg[430,1] = 3 ; dsc[430,1] = 1 ; E [430,1] = [x, [1,-1,0,1,-1]]; bsd[430,2] = 0 ; deg[430,2] = 5 ; dsc[430,2] = 1 ; E [430,2] = [x, [1,-1,0,1,1]]; bsd[430,3] = 0 ; deg[430,3] = 3^2 ; dsc[430,3] = 1 ; E [430,3] = [x, [1,1,-2,1,-1]]; bsd[430,4] = 0 ; deg[430,4] = 3*5^2 ; dsc[430,4] = 1 ; E [430,4] = [x, [1,1,-2,1,1]]; bsd[430,5] = 1 ; deg[430,5] = 3*59 ; dsc[430,5] = 2^2*3 ; E [430,5] = [x^2-2*x-2, [1,-1,x,1,1]]; bsd[430,6] = 3 ; deg[430,6] = 3*19 ; dsc[430,6] = 2^3*3 ; E [430,6] = [x^2-6, [1,1,x,1,-1]]; bsd[430,7] = 1 ; deg[430,7] = 7 ; dsc[430,7] = 2^3 ; E [430,7] = [x^2-2, [1,1,x,1,1]]; bsd[430,8] = 1 ; deg[430,8] = 17*223 ; dsc[430,8] = 2^2*79 ; E [430,8] = [x^3+2*x^2-6*x-8, [2,-2,2*x,2,-2]]; bsd[431,1] = 0 ; deg[431,1] = 5 ; dsc[431,1] = 1 ; E [431,1] = [x, [1,-1,1,-1,1]]; bsd[431,2] = 1 ; deg[431,2] = 5 ; dsc[431,2] = 1 ; E [431,2] = [x, [1,-1,3,-1,-3]]; bsd[431,3] = 1 ; deg[431,3] = 5*6947 ; dsc[431,3] = 11*43 ; E [431,3] = [x^3-5*x+1, [1,x,x^2-3,x^2-2,x^2+x-3]]; bsd[431,4] = 0 ; deg[431,4] = 5*19 ; dsc[431,4] = 257 ; E [431,4] = [x^3-x^2-4*x+3, [1,x,-x,x^2-2,-x^2+2]]; bsd[431,5] = 0 ; deg[431,5] = 19 ; dsc[431,5] = 5^2*29 ; E [431,5] = [x^4+x^3-3*x^2-x+1, [1,x,-x^3-x^2+3*x,x^2-2,x^3+x^2-3*x-2]]; bsd[431,6] = 1/5*43 ; deg[431,6] = 6947 ; dsc[431,6] = 2^13*31*197*37619*29252013842927*806505757406715084824003 ; E [431,6] = [x^24-x^23-40*x^22+40*x^21+692*x^20-687*x^19-6790*x^18+6631*x^17+41657*x^16-39533*x^15-166175*x^14+150668*x^13+434546*x^12-367120*x^11-733353*x^10+555013*x^9+766426*x^8-486022*x^7-458392*x^6+216189*x^5+133642*x^4-39443*x^3-11021*x^2+2767*x+13, [3739222839496792400,3739222839496792400*x,7935096512256799*x^23+810620141708163*x^22-347056827413606066*x^21-23895258075624573*x^20+6643058587402330834*x^19+252660572416622679*x^18-73061583647644979333*x^17-758983487655886210*x^16+509534382412117002413*x^15-6650597706161081198*x^14-2345291193955692024574*x^13+72258602694291551120*x^12+7184575795215946444514*x^11-293971286954165816598*x^10-14402977230229462788321*x^9+590485552799907048989*x^8+18032974552918244244406*x^7-515734288981752615025*x^6-12801662575745517106358*x^5+27385716846365639607*x^4+4165925951152361601299*x^3+138803431432890603680*x^2-321943156993297734389*x+10917761056369362926,3739222839496792400*x^2-7478445678993584800,-6003837216916642*x^23-25519417413591614*x^22+287562107923492403*x^21+1002408111908591174*x^20-6011501607761727132*x^19-16932298038253081847*x^18+71928844431916175609*x^17+160827436846257916510*x^16-543060246362583052439*x^15-942558898465922137941*x^14+2689980717810505381012*x^13+3517749072355698182560*x^12-8804726807274501644302*x^11-8320124430544179870646*x^10+18689228698024334454698*x^9+11998378247655425125968*x^8-24465019598760262751343*x^7-9709914382292721658750*x^6+17796031658323038626364*x^5+3820952747901107923889*x^4-5722288875361777878787*x^3-651551490728019157710*x^2+432741984388948972677*x+13141980820492227997]]; bsd[432,1] = 1 ; deg[432,1] = 3 ; dsc[432,1] = 1 ; E [432,1] = [x, [1,0,0,0,-4]]; bsd[432,2] = 0 ; deg[432,2] = 3 ; dsc[432,2] = 1 ; E [432,2] = [x, [1,0,0,0,-3]]; bsd[432,3] = 0 ; deg[432,3] = 3 ; dsc[432,3] = 1 ; E [432,3] = [x, [1,0,0,0,-1]]; bsd[432,4] = 0 ; deg[432,4] = 3 ; dsc[432,4] = 1 ; E [432,4] = [x, [1,0,0,0,0]]; bsd[432,5] = 1 ; deg[432,5] = 3 ; dsc[432,5] = 1 ; E [432,5] = [x, [1,0,0,0,0]]; bsd[432,6] = 1 ; deg[432,6] = 3^2 ; dsc[432,6] = 1 ; E [432,6] = [x, [1,0,0,0,1]]; bsd[432,7] = 1 ; deg[432,7] = 3 ; dsc[432,7] = 1 ; E [432,7] = [x, [1,0,0,0,3]]; bsd[432,8] = 1 ; deg[432,8] = 3^2 ; dsc[432,8] = 1 ; E [432,8] = [x, [1,0,0,0,4]]; bsd[433,1] = 0 ; deg[433,1] = 7 ; dsc[433,1] = 1 ; E [433,1] = [x, [1,-1,-2,-1,-4]]; bsd[433,2] = 1 ; deg[433,2] = 3*37 ; dsc[433,2] = 2^2*101 ; E [433,2] = [x^3-8*x+4, [2,2,2*x,-2,2*x]]; bsd[433,3] = 0 ; deg[433,3] = 1 ; dsc[433,3] = 2^8*3^2*379*3613*2792477*77087971 ; E [433,3] = [x^15+10*x^14+29*x^13-22*x^12-251*x^11-272*x^10+583*x^9+1252*x^8-186*x^7-1821*x^6-675*x^5+899*x^4+482*x^3-93*x^2-27*x-1, [4,4*x,14*x^14+120*x^13+236*x^12-632*x^11-2582*x^10-184*x^9+8120*x^8+5872*x^7-10040*x^6-10414*x^5+4226*x^4+5312*x^3-274*x^2-306*x-24,4*x^2-8,-22*x^14-190*x^13-380*x^12+992*x^11+4146*x^10+378*x^9-13104*x^8-9612*x^7+16484*x^6+16966*x^5-7456*x^4-8630*x^3+858*x^2+424*x+26]]; bsd[433,4] = 7^2/3^2 ; deg[433,4] = 3*7*37 ; dsc[433,4] = 2^4*3^3*1439*18719*5830108671536745647 ; E [433,4] = [x^16-7*x^15-5*x^14+129*x^13-125*x^12-929*x^11+1471*x^10+3333*x^9-6394*x^8-6443*x^7+13118*x^6+7162*x^5-12217*x^4-4691*x^3+3598*x^2+1114*x-3, [197716,197716*x,13456*x^15-56746*x^14-215630*x^13+1035152*x^12+1403792*x^11-7574942*x^10-5201414*x^9+28343416*x^8+13348668*x^7-56176856*x^6-24111798*x^5+52615312*x^4+24553850*x^3-14782282*x^2-7861136*x-325058,197716*x^2-395432,31748*x^15-160070*x^14-478458*x^13+3174656*x^12+2402040*x^11-25188026*x^10-4027502*x^9+101560912*x^8+2012332*x^7-216201984*x^6-20242790*x^5+219968308*x^4+56350086*x^3-66664682*x^2-21379484*x-165534]]; bsd[434,1] = 0 ; deg[434,1] = 3 ; dsc[434,1] = 1 ; E [434,1] = [x, [1,-1,0,1,0]]; bsd[434,2] = 3 ; deg[434,2] = 3*5 ; dsc[434,2] = 1 ; E [434,2] = [x, [1,1,-3,1,-3]]; bsd[434,3] = 0 ; deg[434,3] = 5 ; dsc[434,3] = 1 ; E [434,3] = [x, [1,1,-2,1,-2]]; bsd[434,4] = 1 ; deg[434,4] = 3 ; dsc[434,4] = 1 ; E [434,4] = [x, [1,1,1,1,3]]; bsd[434,5] = 1 ; deg[434,5] = 5 ; dsc[434,5] = 1 ; E [434,5] = [x, [1,1,2,1,2]]; bsd[434,6] = 1 ; deg[434,6] = 7*17 ; dsc[434,6] = 2^3 ; E [434,6] = [x^2-2*x-1, [1,-1,x,1,2*x-3]]; bsd[434,7] = 17 ; deg[434,7] = 17 ; dsc[434,7] = 17 ; E [434,7] = [x^2-x-4, [1,1,x,1,-x+2]]; bsd[434,8] = 1 ; deg[434,8] = 5^2*61 ; dsc[434,8] = 2^3*71 ; E [434,8] = [x^3+2*x^2-5*x-8, [1,-1,x,1,-x^2+4]]; bsd[434,9] = 17 ; deg[434,9] = 5*17 ; dsc[434,9] = 2^5*71 ; E [434,9] = [x^3-x^2-8*x+4, [1,1,x,1,-x]]; bsd[435,1] = 1 ; deg[435,1] = 5 ; dsc[435,1] = 1 ; E [435,1] = [x, [1,-1,1,-1,1]]; bsd[435,2] = 1 ; deg[435,2] = 5*7 ; dsc[435,2] = 1 ; E [435,2] = [x, [1,0,-1,-2,-1]]; bsd[435,3] = 1/3 ; deg[435,3] = 5 ; dsc[435,3] = 1 ; E [435,3] = [x, [1,0,1,-2,-1]]; bsd[435,4] = 1 ; deg[435,4] = 3 ; dsc[435,4] = 1 ; E [435,4] = [x, [1,1,1,-1,1]]; bsd[435,5] = 0 ; deg[435,5] = 19 ; dsc[435,5] = 5 ; E [435,5] = [x^2+x-1, [1,x,1,-x-1,-1]]; bsd[435,6] = 1 ; deg[435,6] = 3*5*7*17 ; dsc[435,6] = 3*7 ; E [435,6] = [x^2+x-5, [1,x,1,-x+3,1]]; bsd[435,7] = 1 ; deg[435,7] = 5*11 ; dsc[435,7] = 2^2*5 ; E [435,7] = [x^2-5, [1,x,1,3,-1]]; bsd[435,8] = 3^2 ; deg[435,8] = 3^2*17 ; dsc[435,8] = 17 ; E [435,8] = [x^2-x-4, [1,x,1,x+2,1]]; bsd[435,9] = 1 ; deg[435,9] = 7*19 ; dsc[435,9] = 7*67 ; E [435,9] = [x^3-x^2-5*x+4, [1,x,-1,x^2-2,1]]; bsd[435,10] = 0 ; deg[435,10] = 1 ; dsc[435,10] = 2^2*5^2*89 ; E [435,10] = [x^4+3*x^3-2*x^2-7*x+1, [1,x,-1,x^2-2,-1]]; bsd[436,1] = 1 ; deg[436,1] = 3^2*31 ; dsc[436,1] = 2^3 ; E [436,1] = [x^2-8, [2,0,2*x,0,2*x+2]]; bsd[436,2] = 0 ; deg[436,2] = 3^3 ; dsc[436,2] = 3^4 ; E [436,2] = [x^3-3*x-1, [1,0,x,0,-x-2]]; bsd[436,3] = 3^2 ; deg[436,3] = 3^4*31 ; dsc[436,3] = 3*10091 ; E [436,3] = [x^4-7*x^2-x+8, [1,0,x,0,-x+2]]; bsd[437,1] = 0 ; deg[437,1] = 5 ; dsc[437,1] = 1 ; E [437,1] = [x, [1,0,2,-2,-1]]; bsd[437,2] = 1 ; deg[437,2] = 5 ; dsc[437,2] = 1 ; E [437,2] = [x, [1,2,2,2,1]]; bsd[437,3] = 0 ; deg[437,3] = 11 ; dsc[437,3] = 5 ; E [437,3] = [x^2+3*x+1, [1,-1,x,-1,2*x+4]]; bsd[437,4] = 0 ; deg[437,4] = 3^2 ; dsc[437,4] = 2^3 ; E [437,4] = [x^2-2, [1,x,x-2,0,-x-1]]; bsd[437,5] = 0 ; deg[437,5] = 3^2*5*11 ; dsc[437,5] = 5 ; E [437,5] = [x^2-5, [2,2*x,-x-1,6,-2*x-2]]; bsd[437,6] = 0 ; deg[437,6] = 11 ; dsc[437,6] = 2^4*33769 ; E [437,6] = [x^5+x^4-7*x^3-2*x^2+12*x-4, [1,x,-x^2-x+2,x^2-2,x^2+x-3]]; bsd[437,7] = 1/5 ; deg[437,7] = 3^4*5 ; dsc[437,7] = 2^6*5^2*547*737929 ; E [437,7] = [x^8-13*x^6+47*x^4-2*x^3-37*x^2-2*x+2, [10,10*x,-3*x^7+x^6+37*x^5-9*x^4-128*x^3+22*x^2+102*x+12,10*x^2-20,x^7+3*x^6-14*x^5-32*x^4+51*x^3+81*x^2-34*x-24]]; bsd[437,8] = 1/3 ; deg[437,8] = 3 ; dsc[437,8] = 2^8*167*2647*217915619544653 ; E [437,8] = [x^12-2*x^11-19*x^10+35*x^9+137*x^8-219*x^7-483*x^6+605*x^5+866*x^4-707*x^3-682*x^2+236*x+96, [244,244*x,-47*x^11+91*x^10+782*x^9-1403*x^8-4548*x^7+7137*x^6+11294*x^5-13993*x^4-10833*x^3+8828*x^2+1196*x-560,244*x^2-488,-24*x^11+88*x^10+350*x^9-1464*x^8-1580*x^7+8418*x^6+2198*x^5-20176*x^4+480*x^3+18242*x^2-1632*x-2700]]; bsd[438,1] = 0 ; deg[438,1] = 1 ; dsc[438,1] = 1 ; E [438,1] = [x, [1,-1,-1,1,0]]; bsd[438,2] = 0 ; deg[438,2] = 1 ; dsc[438,2] = 1 ; E [438,2] = [x, [1,-1,1,1,-4]]; bsd[438,3] = 0 ; deg[438,3] = 3^2 ; dsc[438,3] = 1 ; E [438,3] = [x, [1,-1,1,1,0]]; bsd[438,4] = 1 ; deg[438,4] = 7 ; dsc[438,4] = 1 ; E [438,4] = [x, [1,-1,1,1,2]]; bsd[438,5] = 0 ; deg[438,5] = 1 ; dsc[438,5] = 1 ; E [438,5] = [x, [1,1,-1,1,-2]]; bsd[438,6] = 1 ; deg[438,6] = 1 ; dsc[438,6] = 1 ; E [438,6] = [x, [1,1,1,1,0]]; bsd[438,7] = 3 ; deg[438,7] = 3^2 ; dsc[438,7] = 1 ; E [438,7] = [x, [1,1,1,1,0]]; bsd[438,8] = 1 ; deg[438,8] = 7*23 ; dsc[438,8] = 2^5 ; E [438,8] = [x^2-8, [1,-1,-1,1,x]]; bsd[438,9] = 5 ; deg[438,9] = 5*29 ; dsc[438,9] = 2^2*5 ; E [438,9] = [x^2+2*x-4, [1,1,-1,1,x]]; bsd[439,1] = 0 ; deg[439,1] = 31 ; dsc[439,1] = 5 ; E [439,1] = [x^2-x-1, [1,-1,x,-1,-x+1]]; bsd[439,2] = 0 ; deg[439,2] = 31 ; dsc[439,2] = 3^2*16794662617 ; E [439,2] = [x^9+x^8-12*x^7-6*x^6+49*x^5-x^4-72*x^3+30*x^2+18*x-9, [9,9*x,x^8+x^7-15*x^6-9*x^5+76*x^4+17*x^3-138*x^2+6*x+45,9*x^2-18,-7*x^8-10*x^7+84*x^6+81*x^5-343*x^4-158*x^3+501*x^2+30*x-144]]; bsd[439,3] = 1/73 ; deg[439,3] = 1 ; dsc[439,3] = 173*84179*85667*513841517138871835091506167235408934202857 ; E [439,3] = [x^25-4*x^24-31*x^23+138*x^22+389*x^21-2034*x^20-2453*x^19+16766*x^18+7126*x^17-84887*x^16+1717*x^15+272618*x^14-79978*x^13-552928*x^12+255108*x^11+682589*x^10-376568*x^9-476301*x^8+270078*x^7+167567*x^6-81530*x^5-24739*x^4+6834*x^3+740*x^2-187*x+5, [85318433382171922788,85318433382171922788*x,-14104854800347166937*x^24+33510873812971511061*x^23+484148117403082974750*x^22-1149082882909004027256*x^21-7080042312862245012693*x^20+16810580920659368742651*x^19+57638120517021604055754*x^18-137318911927711238618760*x^17-285944681635255256274966*x^16+687756559323051763328817*x^15+886885051987253317450746*x^14-2180957653216587483309444*x^13-1688039930226035353114434*x^12+4361220272931106505358762*x^11+1834341928592508975147570*x^10-5305037882042007445080951*x^9-947225074811594302297281*x^8+3648355703208006728121546*x^7+112307378654131377023160*x^6-1257447637119504859251255*x^5+35126129648781223841997*x^4+177340840768659511495854*x^3-1644010741415690969856*x^2-6483292438416736809084*x+229585419895110846579,85318433382171922788*x^2-170636866764343845576,4942101066828663015*x^24+158907989149996689*x^23-191233689295905215670*x^22-19715673922500817440*x^21+3218613469814067757527*x^20+551625274506480529191*x^19-30933379144687527103530*x^18-7252480398507708074412*x^17+187210660148093639661762*x^16+54232792042075623535737*x^15-741326018985822462372306*x^14-248013628703629928590176*x^13+1930995994120811340119058*x^12+708463649438786515964094*x^11-3238213890513106629231714*x^10-1248689221718416603050807*x^9+3317106448950463562031615*x^8+1301838008543970620662290*x^7-1874173684937629165187496*x^6-740217812895087517044495*x^5+468660148061304425373357*x^4+186431031210382443413286*x^3-24257358148018998700008*x^2-7505552696107022217648*x+625500068385750135183]]; bsd[440,1] = 0 ; deg[440,1] = 3 ; dsc[440,1] = 1 ; E [440,1] = [x, [1,0,0,0,-1]]; bsd[440,2] = 0 ; deg[440,2] = 1 ; dsc[440,2] = 1 ; E [440,2] = [x, [1,0,0,0,-1]]; bsd[440,3] = 3 ; deg[440,3] = 3^2 ; dsc[440,3] = 1 ; E [440,3] = [x, [1,0,0,0,1]]; bsd[440,4] = 3 ; deg[440,4] = 3^2 ; dsc[440,4] = 1 ; E [440,4] = [x, [1,0,3,0,1]]; bsd[440,5] = 1 ; deg[440,5] = 1 ; dsc[440,5] = 17 ; E [440,5] = [x^2+x-4, [1,0,x,0,1]]; bsd[440,6] = 1 ; deg[440,6] = 1 ; dsc[440,6] = 17 ; E [440,6] = [x^2-3*x-2, [1,0,-x+2,0,-1]]; bsd[440,7] = 1 ; deg[440,7] = 13 ; dsc[440,7] = 17 ; E [440,7] = [x^2-5*x+2, [1,0,x-2,0,-1]]; bsd[441,1] = 0 ; deg[441,1] = 3 ; dsc[441,1] = 1 ; E [441,1] = [x, [1,-2,0,2,-2]]; bsd[441,2] = 1 ; deg[441,2] = 3*7 ; dsc[441,2] = 1 ; E [441,2] = [x, [1,-2,0,2,2]]; bsd[441,3] = 0 ; deg[441,3] = 1 ; dsc[441,3] = 1 ; E [441,3] = [x, [1,-1,0,-1,0]]; bsd[441,4] = 0 ; deg[441,4] = 3 ; dsc[441,4] = 1 ; E [441,4] = [x, [1,0,0,-2,0]]; bsd[441,5] = 1 ; deg[441,5] = 3*7 ; dsc[441,5] = 1 ; E [441,5] = [x, [1,0,0,-2,0]]; bsd[441,6] = 0 ; deg[441,6] = 3 ; dsc[441,6] = 1 ; E [441,6] = [x, [1,1,0,-1,-2]]; bsd[441,7] = 1 ; deg[441,7] = 3 ; dsc[441,7] = 2^2*3 ; E [441,7] = [x^2-3, [1,x,0,1,2*x]]; bsd[441,8] = 1 ; deg[441,8] = 3*7 ; dsc[441,8] = 2^2*7 ; E [441,8] = [x^2-7, [1,x,0,5,0]]; bsd[441,9] = 1 ; deg[441,9] = 7 ; dsc[441,9] = 2^3 ; E [441,9] = [x^2+4*x+2, [1,x+3,0,2*x+5,x]]; bsd[441,10] = 1 ; deg[441,10] = 1 ; dsc[441,10] = 2^3 ; E [441,10] = [x^2-4*x+2, [1,-x+3,0,-2*x+5,x]]; bsd[442,1] = 1 ; deg[442,1] = 1 ; dsc[442,1] = 1 ; E [442,1] = [x, [1,-1,2,1,2]]; bsd[442,2] = 0 ; deg[442,2] = 3 ; dsc[442,2] = 1 ; E [442,2] = [x, [1,1,0,1,-4]]; bsd[442,3] = 1 ; deg[442,3] = 3 ; dsc[442,3] = 1 ; E [442,3] = [x, [1,1,0,1,2]]; bsd[442,4] = 1 ; deg[442,4] = 3 ; dsc[442,4] = 1 ; E [442,4] = [x, [1,1,2,1,-2]]; bsd[442,5] = 11 ; deg[442,5] = 3*5*11 ; dsc[442,5] = 1 ; E [442,5] = [x, [1,1,2,1,4]]; bsd[442,6] = 0 ; deg[442,6] = 7^2 ; dsc[442,6] = 2^3 ; E [442,6] = [x^2+4*x+2, [1,-1,x,1,-x-2]]; bsd[442,7] = 1 ; deg[442,7] = 5*11 ; dsc[442,7] = 2^2*5 ; E [442,7] = [x^2-2*x-4, [1,-1,x,1,2]]; bsd[442,8] = 0 ; deg[442,8] = 5 ; dsc[442,8] = 2^4*37 ; E [442,8] = [x^3+2*x^2-4*x-4, [1,-1,x,1,-x^2-x+2]]; bsd[442,9] = 1 ; deg[442,9] = 1 ; dsc[442,9] = 2^4*79 ; E [442,9] = [x^3-2*x^2-6*x+8, [1,1,x,1,-x+2]]; bsd[443,1] = 0 ; deg[443,1] = 7 ; dsc[443,1] = 1 ; E [443,1] = [x, [1,-1,-2,-1,0]]; bsd[443,2] = 0 ; deg[443,2] = 3 ; dsc[443,2] = 1 ; E [443,2] = [x, [1,0,1,-2,-2]]; bsd[443,3] = 1 ; deg[443,3] = 31 ; dsc[443,3] = 1 ; E [443,3] = [x, [1,1,-2,-1,4]]; bsd[443,4] = 0 ; deg[443,4] = 3*7 ; dsc[443,4] = 2^4*48508479390300197 ; E [443,4] = [x^12+3*x^11-13*x^10-39*x^9+64*x^8+181*x^7-159*x^6-357*x^5+226*x^4+264*x^3-156*x^2-20*x+6, [10173,10173*x,-2859*x^11-7221*x^10+36354*x^9+86829*x^8-164967*x^7-356721*x^6+323694*x^5+578376*x^4-267246*x^3-319599*x^2+68826*x+23565,10173*x^2-20346,1928*x^11+5446*x^10-23676*x^9-68382*x^8+101843*x^7+301935*x^6-193308*x^5-552888*x^4+197453*x^3+360922*x^2-126538*x-16482]]; bsd[443,5] = 1/13*17 ; deg[443,5] = 31 ; dsc[443,5] = 2^10*499*6899*2817219327571188909266947704801865987 ; E [443,5] = [x^22-x^21-35*x^20+33*x^19+523*x^18-456*x^17-4360*x^16+3428*x^15+22226*x^14-15227*x^13-71363*x^12+40569*x^11+143034*x^10-62774*x^9-170342*x^8+51992*x^7+107186*x^6-20952*x^5-26926*x^4+5536*x^3+1736*x^2-512*x+32, [2212095231072,2212095231072*x,194653117720*x^21-146264520510*x^20-6824916808190*x^19+4779423817126*x^18+102276756870038*x^17-64862839372318*x^16-856132545884564*x^15+472964535877632*x^14+4388081755893464*x^13-1994820019271268*x^12-14184263152221902*x^11+4840089307767646*x^10+28644144619952830*x^9-6174379376324104*x^8-34336809401774196*x^7+2993230296472604*x^6+21611850496843240*x^5+352308009411604*x^4-5311329869641560*x^3+10235896895956*x^2+363845506465992*x-32718757780688,2212095231072*x^2-4424190462144,-17950769828*x^21+11157979128*x^20+552506074144*x^19-470517931016*x^18-7156135615888*x^17+7962357750692*x^16+50949722224408*x^15-71706216289392*x^14-219357938578936*x^13+377936066966292*x^12+595892442632992*x^11-1195025045294456*x^10-1043026698605612*x^9+2216662765179176*x^8+1174922602134000*x^7-2242152111291880*x^6-787958608742744*x^5+1078256154114568*x^4+236218288661640*x^3-222404691446360*x^2-32835974372112*x+11815219982176]]; bsd[444,1] = 1 ; deg[444,1] = 3 ; dsc[444,1] = 1 ; E [444,1] = [x, [1,0,-1,0,0]]; bsd[444,2] = 0 ; deg[444,2] = 3 ; dsc[444,2] = 1 ; E [444,2] = [x, [1,0,1,0,-2]]; bsd[444,3] = 0 ; deg[444,3] = 3^3 ; dsc[444,3] = 2^2*3 ; E [444,3] = [x^2+2*x-2, [1,0,-1,0,x]]; bsd[444,4] = 5 ; deg[444,4] = 3^2*5 ; dsc[444,4] = 2^3*3 ; E [444,4] = [x^2-6, [1,0,1,0,x]]; bsd[445,1] = 0 ; deg[445,1] = 5*11 ; dsc[445,1] = 2^2*5 ; E [445,1] = [x^2+2*x-4, [1,-1,x,-1,-1]]; bsd[445,2] = 1/3 ; deg[445,2] = 13 ; dsc[445,2] = 2^2*3 ; E [445,2] = [x^2-3, [1,x,x+1,1,1]]; bsd[445,3] = 1 ; deg[445,3] = 7 ; dsc[445,3] = 2^3 ; E [445,3] = [x^2-2*x-1, [1,x,-x+1,2*x-1,1]]; bsd[445,4] = 0 ; deg[445,4] = 11 ; dsc[445,4] = 5^2*29 ; E [445,4] = [x^4-x^3-5*x^2+7*x-1, [1,x,x^3-5*x+2,x^2-2,-1]]; bsd[445,5] = 7/5 ; deg[445,5] = 7^2*13 ; dsc[445,5] = 8069 ; E [445,5] = [x^4-x^3-5*x^2+5*x+1, [1,x,x^3-5*x+2,x^2-2,1]]; bsd[445,6] = 0 ; deg[445,6] = 521 ; dsc[445,6] = 2^4*3*27026963 ; E [445,6] = [x^7+4*x^6-3*x^5-24*x^4-8*x^3+29*x^2+6*x-9, [3,3*x,2*x^6+5*x^5-12*x^4-27*x^3+14*x^2+19*x-9,3*x^2-6,3]]; bsd[445,7] = 1 ; deg[445,7] = 13*317 ; dsc[445,7] = 2^10*2687*64871 ; E [445,7] = [x^8-x^7-11*x^6+9*x^5+34*x^4-19*x^3-27*x^2+11*x-1, [2,2*x,2*x^7-x^6-23*x^5+8*x^4+76*x^3-12*x^2-65*x+9,2*x^2-4,-2]]; bsd[446,1] = 0 ; deg[446,1] = 11 ; dsc[446,1] = 1 ; E [446,1] = [x, [1,-1,-3,1,-4]]; bsd[446,2] = 0 ; deg[446,2] = 3 ; dsc[446,2] = 1 ; E [446,2] = [x, [1,-1,-1,1,0]]; bsd[446,3] = 0 ; deg[446,3] = 7 ; dsc[446,3] = 1 ; E [446,3] = [x, [1,1,-1,1,-2]]; bsd[446,4] = 3 ; deg[446,4] = 3^2 ; dsc[446,4] = 1 ; E [446,4] = [x, [1,1,2,1,0]]; bsd[446,5] = 3^2*7 ; deg[446,5] = 3^3*7^2 ; dsc[446,5] = 2^8*49368691 ; E [446,5] = [x^7-x^6-14*x^5+12*x^4+50*x^3-36*x^2-38*x+18, [239,239,239*x,239,-6*x^6+37*x^5+92*x^4-388*x^3-526*x^2+703*x+858]]; bsd[446,6] = 11^2/3 ; deg[446,6] = 11*359353 ; dsc[446,6] = 2^12*3^2*29*4538477 ; E [446,6] = [x^8-4*x^7-12*x^6+54*x^5+34*x^4-204*x^3+6*x^2+160*x+34, [33,-33,33*x,33,-x^7+19*x^5+2*x^4-116*x^3+2*x^2+221*x-10]]; bsd[447,1] = 0 ; deg[447,1] = 3*73 ; dsc[447,1] = 3^4 ; E [447,1] = [x^3+3*x^2-3, [1,x,1,x^2-2,-2]]; bsd[447,2] = 0 ; deg[447,2] = 13 ; dsc[447,2] = 7^2 ; E [447,2] = [x^3+x^2-2*x-1, [1,x,-1,x^2-2,0]]; bsd[447,3] = 139/5^2 ; deg[447,3] = 139 ; dsc[447,3] = 2^9*71*89*7857719 ; E [447,3] = [x^9-4*x^8-6*x^7+37*x^6-3*x^5-101*x^4+49*x^3+72*x^2-21*x-13, [1,x,1,x^2-2,2*x^8-4*x^7-21*x^6+35*x^5+71*x^4-83*x^3-79*x^2+31*x+19]]; bsd[447,4] = 1 ; deg[447,4] = 43*9491 ; dsc[447,4] = 2^6*149*138373*19120967 ; E [447,4] = [x^10-3*x^9-12*x^8+37*x^7+44*x^6-142*x^5-50*x^4+181*x^3-5*x^2-30*x+1, [647,647*x,-647,647*x^2-1294,-135*x^9+358*x^8+1898*x^7-4732*x^6-8776*x^5+19642*x^4+14058*x^3-26097*x^2-2602*x+2962]]; bsd[448,1] = 1 ; deg[448,1] = 1 ; dsc[448,1] = 1 ; E [448,1] = [x, [1,0,-2,0,0]]; bsd[448,2] = 0 ; deg[448,2] = 1 ; dsc[448,2] = 1 ; E [448,2] = [x, [1,0,-2,0,0]]; bsd[448,3] = 1 ; deg[448,3] = 1 ; dsc[448,3] = 1 ; E [448,3] = [x, [1,0,-2,0,4]]; bsd[448,4] = 0 ; deg[448,4] = 1 ; dsc[448,4] = 1 ; E [448,4] = [x, [1,0,0,0,-2]]; bsd[448,5] = 0 ; deg[448,5] = 1 ; dsc[448,5] = 1 ; E [448,5] = [x, [1,0,0,0,-2]]; bsd[448,6] = 1 ; deg[448,6] = 1 ; dsc[448,6] = 1 ; E [448,6] = [x, [1,0,2,0,0]]; bsd[448,7] = 1 ; deg[448,7] = 1 ; dsc[448,7] = 1 ; E [448,7] = [x, [1,0,2,0,0]]; bsd[448,8] = 1 ; deg[448,8] = 1 ; dsc[448,8] = 1 ; E [448,8] = [x, [1,0,2,0,4]]; bsd[448,9] = 0 ; deg[448,9] = 1 ; dsc[448,9] = 2^2*5 ; E [448,9] = [x^2+2*x-4, [1,0,x,0,-x-2]]; bsd[448,10] = 1 ; deg[448,10] = 1 ; dsc[448,10] = 2^2*5 ; E [448,10] = [x^2-2*x-4, [1,0,x,0,x-2]]; bsd[449,1] = 0 ; deg[449,1] = 1 ; dsc[449,1] = 1431966252229376199841 ; E [449,1] = [x^14+3*x^13-13*x^12-42*x^11+59*x^10+214*x^9-117*x^8-503*x^7+109*x^6+576*x^5-50*x^4-309*x^3+14*x^2+62*x-3, [581,581*x,1367*x^13+2544*x^12-21440*x^11-35460*x^10+130273*x^9+176883*x^8-397316*x^7-387181*x^6+642243*x^5+359615*x^4-504323*x^3-105389*x^2+145130*x-6416,581*x^2-1162,-689*x^13-1037*x^12+11692*x^11+15082*x^10-77477*x^9-79331*x^8+255690*x^7+183819*x^6-436275*x^5-177694*x^4+352434*x^3+49678*x^2-102958*x+5809]]; bsd[449,2] = 1/7 ; deg[449,2] = 1 ; dsc[449,2] = 2^12*3*101*44933757980789*188247485945671*653016225615601 ; E [449,2] = [x^23-38*x^21+x^20+623*x^19-31*x^18-5771*x^17+398*x^16+33229*x^15-2753*x^14-123306*x^13+11230*x^12+296022*x^11-28009*x^10-450008*x^9+43215*x^8+412760*x^7-40559*x^6-210040*x^5+21311*x^4+50781*x^3-5664*x^2-3789*x+621, [3032489168928,3032489168928*x,21524408778*x^22-68857014861*x^21-905187870690*x^20+2476178523237*x^19+16350143582679*x^18-38065891453842*x^17-166180217327610*x^16+326678595433845*x^15+1046204683911930*x^14-1714106003240328*x^13-4233207429286713*x^12+5658933624403962*x^11+11058411115680687*x^10-11642305534076838*x^9-18247365545250282*x^8+14218428350735820*x^7+18053248104022479*x^6-9197369544320502*x^5-9716165505386580*x^4+2337567882270684*x^3+2344341230439507*x^2-11158803770049*x-121750048806273,3032489168928*x^2-6064978337856,72415240034*x^22-37700679936*x^21-2783536667992*x^20+1306527179348*x^19+46269072177460*x^18-19212911056322*x^17-435830429794372*x^16+156060552305554*x^15+2561515980216128*x^14-763149365908666*x^13-9750612599359908*x^12+2293588459644632*x^11+24167111717249490*x^10-4131128082634628*x^9-38230119042097708*x^8+4072330683982602*x^7+36784887184180684*x^6-1582353740653942*x^5-19649944067785166*x^4-386298777411344*x^3+4803951573725220*x^2+333082604559342*x-279869246271342]]; bsd[450,1] = 0 ; deg[450,1] = 3 ; dsc[450,1] = 1 ; E [450,1] = [x, [1,-1,0,1,0]]; bsd[450,2] = 0 ; deg[450,2] = 1 ; dsc[450,2] = 1 ; E [450,2] = [x, [1,-1,0,1,0]]; bsd[450,3] = 1 ; deg[450,3] = 3*5 ; dsc[450,3] = 1 ; E [450,3] = [x, [1,-1,0,1,0]]; bsd[450,4] = 1 ; deg[450,4] = 3 ; dsc[450,4] = 1 ; E [450,4] = [x, [1,-1,0,1,0]]; bsd[450,5] = 1 ; deg[450,5] = 3 ; dsc[450,5] = 1 ; E [450,5] = [x, [1,1,0,1,0]]; bsd[450,6] = 1 ; deg[450,6] = 5 ; dsc[450,6] = 1 ; E [450,6] = [x, [1,1,0,1,0]]; bsd[450,7] = 1 ; deg[450,7] = 3*5 ; dsc[450,7] = 1 ; E [450,7] = [x, [1,1,0,1,0]]; bsd[451,1] = 0 ; deg[451,1] = 3^2 ; dsc[451,1] = 1 ; E [451,1] = [x, [1,0,1,-2,-3]]; bsd[451,2] = 0 ; deg[451,2] = 3^2 ; dsc[451,2] = 36497 ; E [451,2] = [x^5+2*x^4-5*x^3-10*x^2+4*x+9, [1,x,-x^4-x^3+6*x^2+3*x-8,x^2-2,-2*x^4-x^3+11*x^2+3*x-12]]; bsd[451,3] = 0 ; deg[451,3] = 5^3 ; dsc[451,3] = 61*397 ; E [451,3] = [x^5+2*x^4-3*x^3-4*x^2+2*x+1, [1,x,-x^4-x^3+4*x^2+x-2,x^2-2,-x^3-3*x^2+x+2]]; bsd[451,4] = 1/7 ; deg[451,4] = 17 ; dsc[451,4] = 2^2*3^3*7*6351216494039 ; E [451,4] = [x^10-4*x^9-6*x^8+38*x^7-7*x^6-105*x^5+74*x^4+77*x^3-74*x^2+8, [4,4*x,14*x^9-48*x^8-112*x^7+468*x^6+178*x^5-1370*x^4+216*x^3+1210*x^2-296*x-176,4*x^2-8,x^9-4*x^8-6*x^7+38*x^6-7*x^5-105*x^4+70*x^3+81*x^2-54*x-8]]; bsd[451,5] = 1 ; deg[451,5] = 863 ; dsc[451,5] = 2^2*1627*2255821*138665808473 ; E [451,5] = [x^12-3*x^11-16*x^10+48*x^9+93*x^8-270*x^7-251*x^6+633*x^5+359*x^4-582*x^3-248*x^2+136*x+32, [232,232*x,-11*x^11-15*x^10+216*x^9+288*x^8-1559*x^7-1766*x^6+4841*x^5+3869*x^4-5605*x^3-2238*x^2+1504*x-248,232*x^2-464,59*x^11-83*x^10-974*x^9+1176*x^8+5599*x^7-5476*x^6-13121*x^5+9213*x^4+11403*x^3-4716*x^2-1940*x+824]]; bsd[452,1] = 0 ; deg[452,1] = 3^3 ; dsc[452,1] = 3^4 ; E [452,1] = [x^3+3*x^2-1, [1,0,x,0,-1]]; bsd[452,2] = 3 ; deg[452,2] = 3^6 ; dsc[452,2] = 2^6*7*153865891 ; E [452,2] = [x^7-3*x^6-12*x^5+33*x^4+40*x^3-98*x^2-16*x+58, [1,0,x,0,x^6-2*x^5-13*x^4+16*x^3+52*x^2-22*x-44]]; bsd[453,1] = 1/19 ; deg[453,1] = 491 ; dsc[453,1] = 5 ; E [453,1] = [x^2+3*x+1, [1,x,1,-3*x-3,x+3]]; bsd[453,2] = 0 ; deg[453,2] = 19 ; dsc[453,2] = 5 ; E [453,2] = [x^2+x-1, [1,x,1,-x-1,-x-1]]; bsd[453,3] = 1 ; deg[453,3] = 3*11*23 ; dsc[453,3] = 2^2*3 ; E [453,3] = [x^2-3, [1,x,-1,1,2]]; bsd[453,4] = 1 ; deg[453,4] = 3^2*11 ; dsc[453,4] = 5 ; E [453,4] = [x^2-3*x+1, [1,x,-1,3*x-3,x-3]]; bsd[453,5] = 0 ; deg[453,5] = 29 ; dsc[453,5] = 7^2 ; E [453,5] = [x^3+x^2-2*x-1, [1,x,-1,x^2-2,-2*x^2-x+2]]; bsd[453,6] = 0 ; deg[453,6] = 29*41 ; dsc[453,6] = 5*238001 ; E [453,6] = [x^5+3*x^4-6*x^3-18*x^2+8*x+19, [1,x,-1,x^2-2,-x^4-x^3+6*x^2+2*x-6]]; bsd[453,7] = 71 ; deg[453,7] = 71*491 ; dsc[453,7] = 2^2*1030241*6431807 ; E [453,7] = [x^9-6*x^8+3*x^7+42*x^6-68*x^5-62*x^4+168*x^3-15*x^2-98*x+31, [2,2*x,2,2*x^2-4,4*x^8-14*x^7-24*x^6+112*x^5+10*x^4-246*x^3+76*x^2+148*x-54]]; bsd[454,1] = 0 ; deg[454,1] = 19 ; dsc[454,1] = 5 ; E [454,1] = [x^2+3*x+1, [1,1,x,1,-2*x-4]]; bsd[454,2] = 0 ; deg[454,2] = 7^2 ; dsc[454,2] = 2^6*41 ; E [454,2] = [x^4+2*x^3-3*x^2-2*x+1, [1,-1,x,1,-x^3-3*x^2+x+2]]; bsd[454,3] = 1 ; deg[454,3] = 2957 ; dsc[454,3] = 541*569 ; E [454,3] = [x^5+x^4-11*x^3-8*x^2+28*x+8, [4,-4,4*x,4,x^4-3*x^3-7*x^2+20*x+4]]; bsd[454,4] = 7*41/19 ; deg[454,4] = 7*41 ; dsc[454,4] = 2^4*7*101*538823 ; E [454,4] = [x^7-4*x^6-9*x^5+48*x^4-11*x^3-92*x^2+28*x+56, [4,4,4*x,4,-x^6+4*x^5+9*x^4-44*x^3+7*x^2+48*x+4]]; bsd[455,1] = 0 ; deg[455,1] = 1 ; dsc[455,1] = 1 ; E [455,1] = [x, [1,-1,0,-1,1]]; bsd[455,2] = 0 ; deg[455,2] = 3 ; dsc[455,2] = 1 ; E [455,2] = [x, [1,1,0,-1,-1]]; bsd[455,3] = 1 ; deg[455,3] = 5^2*67 ; dsc[455,3] = 12197 ; E [455,3] = [x^4+x^3-5*x^2-3*x+1, [1,x,x^3+x^2-4*x-2,x^2-2,-1]]; bsd[455,4] = 3^2 ; deg[455,4] = 3^2*23*67 ; dsc[455,4] = 19*103 ; E [455,4] = [x^4-3*x^3-x^2+5*x+1, [1,x,-x^3+3*x^2-2,x^2-2,1]]; bsd[455,5] = 3 ; deg[455,5] = 3^2 ; dsc[455,5] = 2^4*11463443 ; E [455,5] = [x^6-3*x^5-6*x^4+20*x^3+6*x^2-31*x+9, [1,x,-x^3+x^2+4*x-2,x^2-2,1]]; bsd[455,6] = 3 ; deg[455,6] = 3*19*79 ; dsc[455,6] = 2^6*3*4457*166571 ; E [455,6] = [x^7-15*x^5+2*x^4+66*x^3-17*x^2-72*x+19, [14,14*x,-x^6-5*x^5+18*x^4+46*x^3-88*x^2-73*x+71,14*x^2-28,-14]]; bsd[456,1] = 0 ; deg[456,1] = 3 ; dsc[456,1] = 1 ; E [456,1] = [x, [1,0,-1,0,1]]; bsd[456,2] = 1 ; deg[456,2] = 5 ; dsc[456,2] = 1 ; E [456,2] = [x, [1,0,-1,0,4]]; bsd[456,3] = 0 ; deg[456,3] = 3 ; dsc[456,3] = 1 ; E [456,3] = [x, [1,0,1,0,-3]]; bsd[456,4] = 3 ; deg[456,4] = 3 ; dsc[456,4] = 1 ; E [456,4] = [x, [1,0,1,0,2]]; bsd[456,5] = 1 ; deg[456,5] = 5^2 ; dsc[456,5] = 41 ; E [456,5] = [x^2+x-10, [1,0,-1,0,x]]; bsd[456,6] = 1 ; deg[456,6] = 1 ; dsc[456,6] = 17 ; E [456,6] = [x^2-x-4, [1,0,1,0,x]]; bsd[457,1] = 0 ; deg[457,1] = 31 ; dsc[457,1] = 5 ; E [457,1] = [x^2-x-1, [1,x,-x+1,x-1,-2]]; bsd[457,2] = 0 ; deg[457,2] = 31 ; dsc[457,2] = 5653726203394180386934181 ; E [457,2] = [x^15+10*x^14+27*x^13-43*x^12-324*x^11-310*x^10+917*x^9+1910*x^8-330*x^7-3170*x^6-1281*x^5+1917*x^4+1110*x^3-506*x^2-232*x+79, [3,3*x,-22*x^14-176*x^13-248*x^12+1409*x^11+4334*x^10-1464*x^9-17000*x^8-9601*x^7+24824*x^6+23065*x^5-14540*x^4-15932*x^3+4537*x^2+3510*x-1043,3*x^2-6,-8*x^14-79*x^13-184*x^12+502*x^11+2524*x^10+765*x^9-9145*x^8-9500*x^7+12118*x^6+18116*x^5-5953*x^4-11923*x^3+1877*x^2+2634*x-661]]; bsd[457,3] = 1/19 ; deg[457,3] = 1 ; dsc[457,3] = 2^2*653*3169*38983093*52621913*33122975406370693 ; E [457,3] = [x^20-6*x^19-12*x^18+130*x^17-25*x^16-1135*x^15+1068*x^14+5145*x^13-6910*x^12-12965*x^11+21043*x^10+17930*x^9-33307*x^8-12486*x^7+25549*x^6+3888*x^5-7077*x^4-927*x^3+255*x^2+6*x-1, [141335001074,141335001074*x,44910231344*x^19-262132953782*x^18-563277420572*x^17+5654100777618*x^16-473601547870*x^15-49145361624864*x^14+40936673953584*x^13+222077953664738*x^12-270620374380398*x^11-560219751788428*x^10+819915782213548*x^9+784177139072470*x^8-1279159638790676*x^7-568426102864896*x^6+960623957509494*x^5+195146259448128*x^4-256480160792170*x^3-44219181634722*x^2+6522543544288*x+271817263110,141335001074*x^2-282670002148,28269732272*x^19-181716809048*x^18-300832245364*x^17+3963907016606*x^16-1645333444716*x^15-34890755875230*x^14+39551782913484*x^13+159677427659620*x^12-244248864879272*x^11-406820865283386*x^10+737410175813690*x^9+570192093781662*x^8-1167685979967860*x^7-406298485161842*x^6+894032612012266*x^5+137008689693482*x^4-240633807259142*x^3-38487704445738*x^2+5619931590802*x+390073936886]]; bsd[458,1] = 0 ; deg[458,1] = 3 ; dsc[458,1] = 1 ; E [458,1] = [x, [1,-1,-3,1,1]]; bsd[458,2] = 0 ; deg[458,2] = 5 ; dsc[458,2] = 1 ; E [458,2] = [x, [1,1,-1,1,-1]]; bsd[458,3] = 0 ; deg[458,3] = 3*13 ; dsc[458,3] = 13 ; E [458,3] = [x^2-x-3, [1,-1,0,1,x]]; bsd[458,4] = 1/3 ; deg[458,4] = 18169 ; dsc[458,4] = 3^2*550494677 ; E [458,4] = [x^7-4*x^6-6*x^5+31*x^4+12*x^3-77*x^2-10*x+59, [1,-1,x,1,x^6-5*x^5+x^4+24*x^3-22*x^2-27*x+31]]; bsd[458,5] = 43/5*23 ; deg[458,5] = 43 ; dsc[458,5] = 7^2*683*1873*5959763 ; E [458,5] = [x^9-2*x^8-20*x^7+41*x^6+112*x^5-241*x^4-160*x^3+385*x^2+28*x-112, [145364,145364,145364*x,145364,-737*x^8-8626*x^7+10728*x^6+163547*x^5-48152*x^4-827039*x^3+216284*x^2+956203*x-64284]]; bsd[459,1] = 0 ; deg[459,1] = 3*5 ; dsc[459,1] = 1 ; E [459,1] = [x, [1,-2,0,2,-4]]; bsd[459,2] = 1 ; deg[459,2] = 3*11 ; dsc[459,2] = 1 ; E [459,2] = [x, [1,-2,0,2,2]]; bsd[459,3] = 0 ; deg[459,3] = 3^2 ; dsc[459,3] = 1 ; E [459,3] = [x, [1,-1,0,-1,1]]; bsd[459,4] = 1/3 ; deg[459,4] = 3^3 ; dsc[459,4] = 1 ; E [459,4] = [x, [1,0,0,-2,-3]]; bsd[459,5] = 1 ; deg[459,5] = 3^2 ; dsc[459,5] = 1 ; E [459,5] = [x, [1,0,0,-2,3]]; bsd[459,6] = 0 ; deg[459,6] = 3 ; dsc[459,6] = 1 ; E [459,6] = [x, [1,1,0,-1,-1]]; bsd[459,7] = 1 ; deg[459,7] = 3^2*11 ; dsc[459,7] = 1 ; E [459,7] = [x, [1,2,0,2,-2]]; bsd[459,8] = 1 ; deg[459,8] = 3^2*5 ; dsc[459,8] = 1 ; E [459,8] = [x, [1,2,0,2,4]]; bsd[459,9] = 1 ; deg[459,9] = 3^4*5 ; dsc[459,9] = 5 ; E [459,9] = [x^2+x-1, [1,x,0,-x-1,-x+1]]; bsd[459,10] = 0 ; deg[459,10] = 3^3 ; dsc[459,10] = 13 ; E [459,10] = [x^2+x-3, [1,x,0,-x+1,-x-3]]; bsd[459,11] = 0 ; deg[459,11] = 3^2*5 ; dsc[459,11] = 5 ; E [459,11] = [x^2-x-1, [1,x,0,x-1,-x-1]]; bsd[459,12] = 1/3 ; deg[459,12] = 3^3 ; dsc[459,12] = 13 ; E [459,12] = [x^2-x-3, [1,x,0,x+1,-x+3]]; bsd[459,13] = 1 ; deg[459,13] = 3^6*11 ; dsc[459,13] = 2^2*101 ; E [459,13] = [x^3+x^2-7*x-9, [1,x,0,x^2-2,x^2-6]]; bsd[459,14] = 1/3 ; deg[459,14] = 3^5*11 ; dsc[459,14] = 2^2*101 ; E [459,14] = [x^3-x^2-7*x+9, [1,x,0,x^2-2,-x^2+6]]; bsd[460,1] = 0 ; deg[460,1] = 3 ; dsc[460,1] = 1 ; E [460,1] = [x, [1,0,-1,0,1]]; bsd[460,2] = 1 ; deg[460,2] = 3^2 ; dsc[460,2] = 1 ; E [460,2] = [x, [1,0,0,0,-1]]; bsd[460,3] = 0 ; deg[460,3] = 3^2 ; dsc[460,3] = 1 ; E [460,3] = [x, [1,0,1,0,-1]]; bsd[460,4] = 1 ; deg[460,4] = 3^2*5 ; dsc[460,4] = 1 ; E [460,4] = [x, [1,0,3,0,-1]]; bsd[460,5] = 1 ; deg[460,5] = 3^2 ; dsc[460,5] = 17 ; E [460,5] = [x^2-x-4, [1,0,x,0,1]]; bsd[461,1] = 0 ; deg[461,1] = 19 ; dsc[461,1] = 5 ; E [461,1] = [x^2+x-1, [1,x,x-1,-x-1,2*x+1]]; bsd[461,2] = 0 ; deg[461,2] = 97 ; dsc[461,2] = 7^2 ; E [461,2] = [x^3+2*x^2-x-1, [1,x,2*x^2+3*x-2,x^2-2,-2*x^2-4*x+1]]; bsd[461,3] = 0 ; deg[461,3] = 19*97 ; dsc[461,3] = 80750473 ; E [461,3] = [x^7-8*x^5+x^4+18*x^3-2*x^2-12*x+1, [1,x,x^5-6*x^3+x^2+6*x-1,x^2-2,-x^5+6*x^3-x^2-7*x]]; bsd[461,4] = 1/5*23 ; deg[461,4] = 1 ; dsc[461,4] = 2^25*19*3104029729*607263139073*3729490905341009668647473177 ; E [461,4] = [x^26-3*x^25-41*x^24+126*x^23+726*x^22-2303*x^21-7266*x^20+24054*x^19+45144*x^18-158550*x^17-179824*x^16+687620*x^15+456511*x^14-1985932*x^13-703693*x^12+3785104*x^11+571532*x^10-4624305*x^9-111938*x^8+3430214*x^7-156745*x^6-1399829*x^5+108715*x^4+249906*x^3-21297*x^2-6102*x+223, [79452970167808,79452970167808*x,-18411620439*x^25+504124605276*x^24-470141107935*x^23-20612532444589*x^22+36754184162415*x^21+364237934953392*x^20-753510909479226*x^19-3641958132508816*x^18+8073693987022900*x^17+22652375835053178*x^16-52457925400371350*x^15-90693691656790686*x^14+217656635876641153*x^13+233496124711315187*x^12-582246532910211218*x^11-373820503413376726*x^10+983354853923556414*x^9+343467078638191121*x^8-992645198412472247*x^7-150194664903861945*x^6+537972502717940624*x^5+13620998787985797*x^4-124835163766573768*x^3+5764216701847466*x^2+4325996849510437*x-48453363884879,79452970167808*x^2-158905940335616,-533667583320*x^25+1070948233227*x^24+22722271687947*x^23-44162634567320*x^22-422227565561867*x^21+789640228287734*x^20+4499008951511820*x^19-8027279296218828*x^18-30381371911163382*x^17+51127779851991152*x^16+135691366785720340*x^15-212009684413759972*x^14-406181818081007652*x^13+576100090591804269*x^12+808845880412822488*x^11-1006850664071936146*x^10-1042522792793858504*x^9+1079791855264038202*x^8+823928140449728253*x^7-649619966109323688*x^6-358732742406467765*x^5+183920627873384021*x^4+65182043250006016*x^3-15397912298726654*x^2-176881129779974*x+94898764459539]]; bsd[462,1] = 0 ; deg[462,1] = 1 ; dsc[462