Cubic surfaces with galois-invariant double-six


gap_nr := 347;
gl := 5*x^3 - 9*x^2*y + 15*x^2*z - 216*x^2*w + 2*x*y*z + 5*x*y*w - 255*x*z^2 - 96*x*z*w + 104*x*w^2 + 9*y^2*z - 4*y^2*w + 11*y*z^2 - 139*y*z*w - 16*y*w^2 - 45*z^3 + 35*z^2*w - 11*z*w^2 + 108*w^3;
p6 := tt^6 + 13*tt^4 - 16*tt^3 + 31*tt^2 + 95*tt + 63;
c_rad := 45;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 1440;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 11, 29, 31, 101, 431 ];


gap_nr := 341;
gl := -10*x^3 + 29*x^2*y - 16*x^2*z + 7*x^2*w - 19*x*y^2 + 52*x*y*z - 39*x*y*w + 35*x*z^2 - 118*x*z*w + 46*x*w^2 - 35*y^3 - 35*y^2*z + 14*y^2*w - 57*y*z^2 - 8*y*z*w + 97*y*w^2 - 9*z^3 - 78*z^2*w - 105*z*w^2 - 31*w^3;
p6 := tt^6 + 22*tt^4 + 17*tt^3 + 112*tt^2 + 8*tt + 127;
c_rad := 36;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 720;
Elt := [ 2 ];
bp := [ 2, 3, 11, 101, 431, 773 ];


gap_nr := 342;
gl := x^3 - x^2*y + 7*x^2*z - 5*x*y^2 - 7*x*y*z + 5*x*y*w - 21*x*z^2 - 17*x*z*w - 3*x*w^2 - 2*y^3 + 8*y^2*z + 7*y^2*w + 5*y*z^2 + 3*y*z*w + 11*y*w^2 - 8*z^3 - 4*z^2*w + 4*z*w^2 + 11*w^3;
p6 := tt^6 - 60*tt^4 + 12120*tt^3 - 51120*tt^2 + 89568*tt + 582480;
c_rad := 208080;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 720;
Elt := [ 2 ];
bp := [ 2, 3, 5, 17, 117587497 ];


gap_nr := 322;
gl := -2*x^3 - 8*x^2*y - 10*x^2*z + 16*x^2*w - 2*x*y^2 + 20*x*y*z + 36*x*y*w - 12*x*z^2 + 10*x*z*w - 10*x*w^2 - y^3 - 5*y^2*w + 25*y*z^2 - y*z*w + 2*y*w^2 - 5*z^3 + 16*z^2*w + z*w^2 + 9*w^3;
p6 := tt^6 + 2*tt^3 - 5*tt^2 + 6*tt - 4;
c_rad := 20;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 240;
Elt := [ 2, 2 ];
bp := [ 2, 5, 19, 151 ];


gap_nr := 295;
gl := -3*x^3 - 10*x^2*y + 10*x^2*z - 10*x^2*w + 16*x*y^2 + 2*x*y*z + 10*x*y*w - 8*x*z^2 + x*z*w + 2*x*w^2 + y^3 - 7*y^2*z + 19*y^2*w - 4*y*z^2 + 17*y*z*w + 4*y*w^2 + 12*z^3 - 18*z^2*w - 20*z*w^2 - 9*w^3;
p6 := tt^6 + tt^4 + 6*tt^3 - 2*tt^2 + 11*tt + 17;
c_rad := 9;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 120;
Elt := [ 2 ];
bp := [ 2, 3, 17, 19, 151 ];


gap_nr := 294;
gl := -x^3 - 12*x^2*z - 2*x^2*w + 5*x*y^2 - x*y*z + 6*x*y*w + 3*x*z^2 - x*z*w + x*w^2 + 2*y^3 - 3*y^2*z + y^2*w - y*z^2 + 6*y*z*w + 4*y*w^2 + z^3 - 2*z^2*w - 3*z*w^2 + w^3;
p6 := tt^6 + 70*tt^4 - 220*tt^3 + 245*tt^2 + 316*tt;
c_rad := 3920;
ch_pol_sm := tt^2 - 123*tt;
h1_gal := 2;
rk_pic := 1;
ord_gal := 120;
Elt := [ 2 ];
bp := [ 2, 5, 7, 199, 1321 ];


gap_nr := 279;
gl := -4*x^3 + 21*x^2*y + 19*x^2*z - 8*x^2*w + x*y^2 - 6*x*y*z - x*y*w - 19*x*z^2 - 2*x*z*w + 4*x*w^2 - y^3 - y^2*z - 28*y^2*w - 11*y*z^2 - 6*y*z*w + 13*y*w^2 + 3*z^3 + 35*z^2*w - 4*z*w^2 - 19*w^3;
p6 := tt^6 + 16*tt^4 + 47*tt^3 + tt^2 + 266*tt - 460;
c_rad := 252;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 96;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 193, 229, 1259 ];


gap_nr := 223;
gl := 4*x^3 - 3*x^2*y - 6*x^2*z - 6*x^2*w + 9*x*y^2 + x*y*z - 16*x*y*w - 34*x*z*w + 4*x*w^2 + 7*y^3 + 21*y^2*z + 5*y^2*w + 7*y*z^2 + 6*y*z*w - 26*y*w^2 - 15*z^3 + 4*z^2*w + 34*z*w^2 + 13*w^3;
p6 := tt^6 - 24*tt^4 - 7*tt^3 + 99*tt^2 + 140*tt - 380;
c_rad := 180;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 19, 53, 67, 229 ];


gap_nr := 227;
gl := 4*x^3 + 9*x^2*y - 8*x^2*z + 35*x^2*w - 21*x*y^2 + 34*x*y*z - 4*x*y*w + 23*x*z^2 + 19*x*z*w - 7*x*w^2 + y^3 + 26*y^2*z - 14*y^2*w + 23*y*z^2 - 14*y*z*w - 37*y*w^2 - 22*z^3 + 26*z^2*w - 56*z*w^2 + 15*w^3;
p6 := tt^6 - 2024*tt^4 + 12413*tt^3 - 132661*tt^2 + 582906*tt - 748980;
c_rad := 4627220;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 5, 13, 37, 229, 509, 971, 18051559 ];


gap_nr := 228;
gl := -x^3 + x^2*y - 2*x^2*z + 3*x^2*w + 2*x*y*z - 12*x*y*w - 3*x*z^2 - 5*x*z*w - 14*x*w^2 - 4*y^2*z + y^2*w - 2*y*z^2 - 7*y*z*w - 8*y*w^2 - 2*z^3 - 9*z^2*w + 11*z*w^2 + 8*w^3;
p6 := tt^6 - 3*tt^4 + 2*tt^3 + tt^2 + tt - 2;
c_rad := 5;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 5, 229 ];


gap_nr := 234;
gl := 5*x^3 + 14*x^2*y + 5*x^2*z + 31*x^2*w + 29*x*y^2 + 34*x*y*z + 8*x*y*w  + 5*x*z^2 - 39*x*z*w + 38*x*w^2 + 19*y^3 + 7*y^2*z + 9*y^2*w - 39*y*z^2 - 61*y*z*w - 9*y*w^2 + 5*z^3 + 14*z^2*w - z*w^2 - 25*w^3;
p6 := tt^6 - 34*tt^4 + 71*tt^3 - 627*tt^2 + 2138*tt - 3476;
c_rad := 3664;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 229, 136991 ];


gap_nr := 233;
gl := 4*x^3 - 4*x^2*y + x^2*z - 6*x^2*w - x*y^2 + x*y*z + 10*x*y*w - 4*x*z^2 - 25*x*z*w - 7*y^3 - 2*y^2*z - 5*y^2*w + 7*y*z^2 - 8*y*z*w - 9*y*w^2 - 2*z^3 - 5*z^2*w - 22*z*w^2 + 12*w^3;
p6 := tt^6 + 2*tt^4 + 3*tt^3 - 3*tt^2 + 5*tt - 3;
c_rad := 16;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 5, 229 ];


gap_nr := 226;
gl := x^3 + 3*x^2*z + 3*x^2*w + 24*x*y^2 - 4*x*y*z + 10*x*y*w - 9*x*z^2 + 12*x*z*w - 12*y^3 - 12*y^2*z + 8*y^2*w - 3*y*z^2 - 20*y*z*w - 4*y*w^2 - 3*z^3 + 9*z^2*w - 6*z*w^2 - w^3;
p6 := tt^6 - 86*tt^4 - 540*tt^3 + 1149*tt^2 + 13084*tt - 57532;
c_rad := 2800;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 48;
Elt := [ 2, 6 ];
bp := [ 2, 3, 5, 7, 2411 ];


gap_nr := 164;
gl := -2*x^3 + 7*x^2*y - 2*x^2*z - 3*x^2*w - 2*x*y^2 + 2*x*y*z + 5*x*y*w + 12*x*z^2 + 17*x*z*w - 29*x*w^2 - 7*y^3 - 8*y^2*z - 18*y^2*w + 8*y*z^2 + 2*y*z*w - 19*y*w^2 + 8*z^3 - 15*z^2*w - 23*z*w^2 - 13*w^3;
p6 := tt^6 - 323*tt^4 - 5539*tt^3 + 13201*tt^2 + 90415*tt - 1332375;
c_rad := 51525;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 24;
Elt := [ 2 ];
bp := [ 2, 3, 5, 229, 2017 ];


gap_nr := 158;
gl := x^3 + 9*x^2*z + x^2*w - 13*x*y*z - 5*x*y*w + 7*x*z^2 + 6*x*z*w - 8*x*w^2 - 3*y^3 + 2*y^2*z + 6*y^2*w + 6*y*z^2 + 11*y*z*w - 14*y*w^2 + 8*z^3 + 10*z*w^2 - 16*w^3;
p6 := tt^6 + 14*tt^4 + 56*tt^3 + 40*tt^2 + tt + 2;
c_rad := 36;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 24;
Elt := [ 2 ];
bp := [ 2, 3, 11, 17, 23, 29, 229 ];


gap_nr := 162;
gl := -x^3 - x^2*y - 3*x^2*z - 2*x*y*z - 6*x*y*w + 3*x*z*w + 3*x*w^2 - 4*y^2*w - 2*y*z*w - 5*y*w^2 + z^3 - 3*z^2*w + w^3;
p6 := tt^6 + 9*tt^4 - 72*tt^3 - 81*tt^2 + 648*tt - 729;
c_rad := 405;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 24;
Elt := [ 6 ];
bp := [ 2, 3, 5, 19 ];


gap_nr := 161;
gl := -9*x^3 + 18*x^2*y - 18*x^2*z + 12*x^2*w + 9*x*y^2 + 9*x*y*z + 39*x*y*w - 9*x*z^2 - 6*x*z*w + 10*x*w^2 + y^3 + 3*y^2*z - 23*y^2*w + 33*y*z*w + y*w^2 - z^3 + 41*z^2*w - 29*z*w^2 + 25*w^3;
p6 := tt^6 + 187*tt^4 - 64*tt^3 + 320*tt - 4800;
c_rad := 34969;
ch_pol_sm := tt^3 - 99*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 24;
Elt := [ 6 ];
bp := [ 2, 3, 5, 11, 17, 170749 ];


gap_nr := 298;
gl := -x^3 - 9*x^2*y + 9*x^2*z + 23*x^2*w + 23*x*y^2 + 16*x*y*z - 24*x*y*w + 6*x*z^2 + 40*x*z*w + 64*x*w^2 + 22*y^3 - 12*y^2*z - 4*y^2*w - 13*y*z^2 - 6*y*z*w + 33*y*w^2 + 40*z^3 + 51*z^2*w - 59*z*w^2 + 17*w^3;
p6 := tt^6 + 276*tt^4 + 2072*tt^3 + 5524*tt^2 + 5488*tt + 2000;
c_rad := 54080;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 144;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 13, 269, 733, 2089 ];


gap_nr := 258;
gl := -2*x^2*z + x^2*w + 3*x*y^2 + 12*x*y*z - 11*x*y*w - 36*x*z^2 + 28*x*z*w + 10*x*w^2 - 24*y^3 + 56*y^2*z - 47*y^2*w + 28*y*z^2 - 24*y*z*w + 35*y*w^2 - 57*z^3 - 49*z^2*w - 50*z*w^2 + 40*w^3;
p6 := tt^6 - 159*tt^4 - 535*tt^3 + 5409*tt^2 + 8148*tt - 63248;
c_rad := 3645;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 72;
Elt := [ 2, 2, 2 ];
bp := [ 3, 5, 31, 11701 ];


gap_nr := 261;
gl := 2*x^3 - 3*x^2*y - 3*x^2*z + 22*x^2*w + 6*x*y^2 - 4*x*y*z - 12*x*y*w - 4*x*z^2 + 8*x*z*w - 10*x*w^2 - 7*y^3 + 11*y^2*z + 2*y^2*w - 4*y*z^2 + 8*y*z*w + 16*y*w^2 - 7*z^3 - 4*z^2*w + 2*z*w^2 - 8*w^3;
p6 := tt^6 + tt^4 - 2*tt^3 - 2*tt^2 + 8*tt + 10;
c_rad := 9;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 72;
Elt := [ 2, 2 ];
bp := [ 2, 3, 733 ];


gap_nr := 257;
gl := -36*x^3 + 49*x^2*y - 68*x^2*z + 26*x^2*w + 62*x*y^2 + 86*x*y*z - 5*x*y*w - 4*x*z^2 + 54*x*z*w - 98*x*w^2 - 51*y^3 + 13*y^2*z + 39*y^2*w - 4*y*z^2 + 72*y*z*w + 14*y*w^2 - 16*z^3 + 100*z^2*w + 47*z*w^2 + 19*w^3;
p6 := tt^6 + 275*tt^4 + 2504*tt^3 + 9927*tt^2 + 15496*tt + 49429;
c_rad := 35917;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 72;
Elt := [ 2, 2 ];
bp := [ 2, 7, 17, 313, 733, 205529 ];


gap_nr := 262;
gl := 4*x^3 + 3*x^2*y + 9*x^2*z + 18*x^2*w + 3*x*y^2 + 6*x*y*z - 6*x*y*w - x*z^2 + 4*x*z*w - 7*x*w^2 + y^3 - 3*y^2*z - 15*y^2*w + 11*y*z^2 + 28*y*z*w - 7*y*w^2 - 4*z^3 + 2*z^2*w - 32*z*w^2 - 10*w^3;
p6 := tt^6 + 954*tt^4 + 7936*tt^3 + 221229*tt^2 + 6665112*tt + 39502144;
c_rad := 25200;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 72;
Elt := [ 2, 4 ];
bp := [ 2, 3, 5, 7, 68603441 ];


gap_nr := 203;
gl := -4*x^2*z - 17*x^2*w - 3*x*y^2 + 27*x*y*z + 33*x*y*w - 54*x*z^2 + 30*x*z*w + 126*x*w^2 + 4*y^3 - 21*y^2*z - 30*y^2*w - 27*y*z^2 - 3*y*z*w + 42*y*w^2 + 27*z^3 - 261*z^2*w - 33*z*w^2 - 117*w^3;
p6 := tt^6 - 270*tt^4 + 469*tt^3 + 18504*tt^2 + 65055*tt - 28743;
c_rad := -1116;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 36;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 31, 227, 8111749 ];


gap_nr := 206;
gl := 11*x^3 + 17*x^2*y - 19*x^2*z + 14*x^2*w + 20*x*y^2 - 13*x*y*z - 14*x*y*w + 16*x*z^2 - 3*x*z*w - 13*x*w^2 - 10*y^3 + 15*y^2*z + 7*y^2*w - 10*y*z^2 + y*z*w - 5*y*w^2 - 12*z^3 - 17*z^2*w + 17*z*w^2 - 18*w^3;
p6 := tt^6 - 24*tt^4 + 169*tt^3 - 656*tt^2 + 647*tt + 559;
c_rad := 3200;
ch_pol_sm := tt^3 - 87*tt^2;
h1_gal := 2;
rk_pic := 1;
ord_gal := 36;
Elt := [ 2, 6 ];
bp := [ 2, 5, 7, 31, 22247 ];


gap_nr := 176;
gl := 3*x^3 - 5*x^2*y + 12*x^2*z - 2*x^2*w + 4*x*y^2 - 8*x*y*z - 6*x*y*w - 13*x*z^2 - 10*x*z*w + 2*x*w^2 - y^3 - 3*y^2*z + 14*y^2*w + 13*y*z^2 - y*w^2 - 2*z^3 - 4*z^2*w + 13*z*w^2 + 2*w^3;
p6 := tt^6 + 2*tt^4 - 17*tt^3 - 19*tt^2 + 51*tt - 54;
c_rad := 80;
ch_pol_sm := tt^4 - 75*tt^3;
h1_gal := 2;
rk_pic := 1;
ord_gal := 24;
Elt := [ 2, 2, 2 ];
bp := [ 2, 5, 31, 37 ];


gap_nr := 91;
gl := 2*x^3 + x^2*y + 3*x^2*z - 2*x^2*w + 4*x*y^2 - 4*x*y*z + 4*x*y*w + 6*x*z^2 + 8*x*z*w - 3*y^3 + y^2*z + 10*y^2*w - 5*y*z^2 + 6*y*w^2 - z^3 + 4*z*w^2 - 5*w^3;
p6 := tt^6 + 10*tt^4 + 9*tt^3 + 43*tt^2 + 9*tt;
c_rad := -72;
ch_pol_sm := tt^4 - 75*tt^3;
h1_gal := 2;
rk_pic := 1;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 17, 31 ];


gap_nr := 95;
gl := -8*x^3 - 4*x^2*y - 3*x^2*z + 5*x^2*w - 8*x*y^2 + 2*x*y*z - 2*x*y*w + 4*x*z^2 - 12*x*z*w + 4*x*w^2 - 3*y^3 - y^2*z - 4*y^2*w + 4*y*z*w - 9*y*w^2 - 2*z^3 + 2*z^2*w + 6*z*w^2 + 17*w^3;
p6 := tt^6 - 23*tt^4 - 3*tt^3 + 202*tt^2 + 390*tt - 72;
c_rad := -279;
ch_pol_sm := tt^4 - 75*tt^3;
h1_gal := 2;
rk_pic := 1;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 31, 227 ];



gap_nr := 93;
gl := x^3 + 4*x^2*y - x^2*z - 4*x^2*w + 3*x*y^2 - 13*x*y*w - 3*x*z^2 + 3*x*z*w - 11*x*w^2 - y^3 + y^2*z + 3*y^2*w - 3*y*z^2 - 5*y*z*w + 4*y*w^2 - z^3 - 4*z^2*w + 4*z*w^2 + w^3;
p6 := tt^6 - 30*tt^4 - 38*tt^3 + 217*tt^2 + 521*tt + 286;
c_rad := 32;
ch_pol_sm := tt^4 - 75*tt^3;
h1_gal := 2;
rk_pic := 1;
ord_gal := 12;
Elt := [ 2, 6 ];
bp := [ 2, 5, 7 ];


gap_nr := 256;
gl := 6*x^3 - 14*x^2*y + 28*x^2*w + 6*x*y^2 + 3*x*y*z - 21*x*y*w + 9*x*z^2 + 5*x*z*w - 6*x*w^2 - 6*y^3 - 10*y^2*z + 7*y^2*w + 39*y*z^2 - 33*y*z*w + 18*y*w^2 + 16*z^3 - 16*z^2*w + 3*z*w^2 - 22*w^3;
p6 := tt^6 + 34*tt^4 + 180*tt^3 + 458*tt^2 + 524*tt + 212;
c_rad := -676;
ch_pol_sm := tt^4 - 63*tt^3;
h1_gal := 4;
rk_pic := 1;
ord_gal := 72;
Elt := [ 2, 2 ];
bp := [ 2, 7, 13, 19, 691, 733 ];


gap_nr := 196;
gl := -3*x^3 + 12*x^2*y - 6*x^2*z + 6*x^2*w - 17*x*y^2 + 11*x*y*z - 21*x*y*w + 10*x*z^2 - 10*x*w^2 + 3*y^3 + 8*y^2*z - 10*y^2*w - 29*y*z^2 - 5*y*z*w - 51*y*w^2 + 14*z^3 - 10*z^2*w - 17*z*w^2 + 38*w^3;
p6 := tt^6 - 2*tt^4 + 6*tt^3 - 15*tt^2 + 15*tt - 18;
c_rad := 64;
ch_pol_sm := tt^4 - 63*tt^3;
h1_gal := 4;
rk_pic := 1;
ord_gal := 36;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 11, 13, 31 ];


gap_nr := 195;
gl := 2*x^2*y + x^2*z + 3*x^2*w + 5*x*y^2 + x*z^2 + 6*x*z*w + 3*y^3 - 3*y^2*z - 2*y^2*w + 5*y*z^2 - 2*y*w^2 - 2*z^3 - z^2*w - 4*z*w^2 - 4*w^3;
p6 := tt^6 - 9*tt^4 - 28*tt^3 - 81*tt^2 + 756*tt + 241;
c_rad := 405;
ch_pol_sm := tt^4 - 63*tt^3;
h1_gal := 4;
rk_pic := 1;
ord_gal := 36;
Elt := [ 4 ];
bp := [ 2, 3, 5, 41 ];


gap_nr := 133;
gl := -4*x^3 - 17*x^2*y - 5*x^2*z + 8*x^2*w - x*y^2 + 11*x*y*z + 6*x*y*w + 7*x*z^2 - 3*x*z*w - 14*x*w^2 - 4*y^3 + 3*y^2*z + 15*y^2*w + y*z^2 - 11*y*z*w - 3*y*w^2 - 2*z^3 - 4*z^2*w - 17*z*w^2 + 18*w^3;
p6 := tt^6 - 5*tt^4 - 2*tt^3 + 4*tt^2 + 4*tt + 1;
c_rad := 9;
ch_pol_sm := tt^4 - 63*tt^3;
h1_gal := 4;
rk_pic := 1;
ord_gal := 18;
Elt := [ 6 ];
bp := [ 3, 7, 31 ];


gap_nr := 323;
gl := x^2*z - x^2*w - 2*x*y*z + 8*x*y*w - 4*x*z*w - 9*x*w^2 - y^3 - 12*y^2*w - 5*y*z*w - 6*y*w^2 - 6*z^2*w + 2*z*w^2 - 8*w^3;
p6 := tt^6 + 4800*tt^4 - 1523660*tt^3 + 47590020*tt^2 + 2805256923*tt + 12643516615;
c_rad := -167320080;
ch_pol_sm := tt^4 - 43*tt^3 - 2540*tt^2;
h1_gal := 1;
rk_pic := 2;
ord_gal := 240;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 19, 151, 467, 86069 ];


gap_nr := 296;
gl := -13*x^3 + 13*x^2*y - 5*x^2*z - 30*x^2*w + 13*x*y^2 + x*y*z - 20*x*y*w - 19*x*z^2 + 16*x*z*w + 37*x*w^2 - 2*y^3 - 6*y^2*z - 20*y^2*w - 6*y*z^2 - 15*y*z*w + 3*y*w^2 - 2*z^3 + 13*z^2*w - 19*z*w^2 + 14*w^3;
p6 := tt^6 + 2350*tt^4 + 60380*tt^3 + 130625*tt^2 + 508110*tt + 1434625;
c_rad := 5000000;
ch_pol_sm := tt^4 - 43*tt^3 - 2540*tt^2;
h1_gal := 1;
rk_pic := 2;
ord_gal := 120;
Elt := [ 2 ];
bp := [ 2, 5, 27799, 148048279 ];


gap_nr := 291;
gl := 2*x^3 - 2*x^2*y + x^2*z - 2*x^2*w - 3*x*y^2 - 4*x*y*w - 4*x*z*w - x*w^2 - y^3 - 4*y^2*z + 2*y^2*w + 4*y*z^2 + 6*y*z*w + y*w^2 + 2*z^3 - 2*z^2*w - 2*z*w^2 - 2*w^3;
p6 := tt^6 + 375*tt^4 + 1750*tt^3 + 109375;
c_rad := 140625;
ch_pol_sm := tt^4 - 43*tt^3 - 2540*tt^2;
h1_gal := 1;
rk_pic := 2;
ord_gal := 120;
Elt := [ 2 ];
bp := [ 2, 3, 5, 7 ];


gap_nr := 214;
gl := -x^2*y - x^2*z + 3*x*y^2 - x*y*z - 2*x*z^2 - x*z*w - 3*x*w^2 - y^3 + 3*y^2*z + 2*y^2*w + y*z*w - 4*y*w^2 + z^3 - z^2*w + z*w^2;
p6 := tt^6 - 10*tt^4 - 20*tt^3 - 150*tt^2 + 1238*tt;
c_rad := 700;
ch_pol_sm := tt^4 - 43*tt^3 - 2540*tt^2;
h1_gal := 1;
rk_pic := 2;
ord_gal := 40;
Elt := [ 2, 4 ];
bp := [ 2, 3, 5, 7, 19, 199 ];


gap_nr := 146;
gl := 2*x^2*y - x^2*z - x^2*w + 3*x*y^2 - x*z*w + x*w^2 - 2*y^2*z + y^2*w + 2*y*z*w - y*w^2 + 2*z^3 + w^3;
p6 := tt^6 + 60*tt^4 + 40*tt^3 + 16*tt;
c_rad := 3600;
ch_pol_sm := tt^4 - 43*tt^3 - 2540*tt^2;
h1_gal := 1;
rk_pic := 2;
ord_gal := 20;
Elt := [ 4 ];
bp := [ 2, 3, 5, 149 ];


gap_nr := 81;
gl := -x^3 + 3*x^2*y + 3*x^2*z - x^2*w - 4*x*y^2 + x*y*z - 2*x*y*w + 3*x*z^2 - 5*x*z*w + x*w^2 + y^3 - 2*y^2*z + y^2*w + 3*y*z^2 + 3*y*z*w - 6*y*w^2 - 3*z^3 - 2*z^2*w + 4*w^3;
p6 := tt^6 + 10*tt^4 - 24*tt^3 - 47*tt^2 + 96*tt - 36;
c_rad := 288;
ch_pol_sm := tt^5 - 69*tt^4;
h1_gal := 2;
rk_pic := 1;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 31 ];


gap_nr := 82;
gl := -x^3 + 3*x^2*y + 2*x^2*z - 5*x^2*w - 4*x*y^2 + 5*x*z^2 + 6*x*z*w - 7*x*w^2 + 3*y^3 + 3*y^2*z + y^2*w - 6*y*z^2 - 4*y*z*w - 3*y*w^2 + 3*z^3 - 4*z^2*w + 4*z*w^2 + w^3;
p6 := tt^6 + 6*tt^4 + 8*tt^3 - 7*tt^2 + 64*tt + 72;
c_rad := 64;
ch_pol_sm := tt^5 - 51*tt^4;
h1_gal := 4;
rk_pic := 1;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 31 ];


gap_nr := 27;
gl := x^3 + x^2*y - x^2*z + 3*x^2*w - x*y^2 + 4*x*y*w - 2*x*z^2 - x*z*w + 2*x*w^2 + y^2*z - 4*y^2*w + 4*y*z^2 + 4*y*z*w - 5*y*w^2 + 4*z^3 - 3*z^2*w - 5*z*w^2 + 3*w^3;
p6 := tt^6 - 5*tt^4 - 2*tt^3 + 4*tt^2 + tt - 1;
c_rad := 9;
ch_pol_sm := tt^5 - 51*tt^4;
h1_gal := 4;
rk_pic := 1;
ord_gal := 6;
Elt := [ 6 ];
bp := [ 2, 3, 5, 7 ];


gap_nr := 147;
gl := x^2*y + x^2*w - 2*x*y*w - 3*x*z^2 - 2*x*w^2 + 2*y^2*z + 2*y^2*w + 2*y*z*w - 5*y*w^2 - z^3 - 2*z^2*w + 3*w^3;
p6 := tt^6 - 40*tt^4 + 280*tt^3 + 275*tt^2 + 3660*tt;
c_rad := 500;
ch_pol_sm := tt^5 - 33*tt^4 - 1520*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 20;
Elt := [ 2, 2 ];
bp := [ 2, 5, 181, 1049 ];


gap_nr := 75;
gl := x^2*w + x*y^2 + x*y*w - x*z^2 + x*z*w + x*w^2 - y^3 - 2*y^2*w + y*z^2 + y*w^2 + z^3 - 3*z*w^2 + w^3;
p6 := tt^6 - 9*tt^4 - 3*tt^3 + 19*tt^2 + 13*tt + 2;
c_rad := 5;
ch_pol_sm := tt^5 - 33*tt^4 - 1520*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 10;
Elt := [ 10 ];
bp := [ 5, 11 ];


gap_nr := 74;
gl := x^2*y + 2*x^2*z - 3*x^2*w - 2*x*y^2 + 3*x*y*z - 5*x*y*w - 6*x*z^2 + 2*x*z*w + 8*x*w^2 - y^3 + 3*y^2*z + 2*y^2*w + 3*y*z^2 - 2*y*z*w - y*w^2 + z^3 + z^2*w + 7*z*w^2 + 3*w^3;
p6 := tt^6 + 30*tt^4 + 180*tt^3 + 265*tt^2 + 2676*tt;
c_rad := -160;
ch_pol_sm := tt^5 - 33*tt^4 - 1520*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 10;
Elt := [ 2 ];
bp := [ 2, 3, 5, 2251 ];


gap_nr := 263;
gl := -x^3 - x^2*y + 2*x^2*z + 5*x^2*w - 2*x*y^2 + 6*x*y*z + 2*x*y*w - x*z^2 - 6*x*z*w - 4*x*w^2 + 4*y^2*z - 3*y^2*w + y*z^2 + 2*y*z*w - 4*y*w^2 + 2*z^3 + z^2*w - 8*z*w^2 + w^3;
p6 := tt^6 - 9*tt^4 + 56*tt^3 - 261*tt^2 + 504*tt - 299;
c_rad := 1125;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 72;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 23957 ];


gap_nr := 199;
gl := -x^2*y - x^2*z + 3*x^2*w + 2*x*y^2 + 6*x*y*w + x*z*w + y^3 - 5*y^2*z - 3*y^2*w - 3*y*z^2 - 7*y*z*w + 3*z^3 + 6*z^2*w - 6*z*w^2 - w^3;
p6 := tt^6 + 24*tt^4 - 83*tt^3 + 126*tt^2 + 570*tt - 1826;
c_rad := 72;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 36;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 71, 191 ];


gap_nr := 208;
gl := -x^3 + 4*x^2*y + x^2*z + 5*x^2*w - 4*x*y^2 - 2*x*y*z - x*y*w + 5*x*z^2 - 4*x*z*w - 4*x*w^2 + 2*y^3 + 7*y^2*z + 3*y^2*w + 4*y*z^2 + y*z*w - 3*y*w^2 + z^3 - z^2*w + z*w^2 + 7*w^3;
p6 := tt^6 + 6*tt^4 + 870*tt^3 + 7578*tt^2 + 24264*tt + 26142;
c_rad := -30276;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 36;
Elt := [ 2, 2 ];
bp := [ 2, 3, 29, 12514807 ];


gap_nr := 200;
gl := x^2*z - 2*x^2*w + 3*x*y*z - 3*x*y*w + 2*x*z^2 - 2*x*w^2 - y^3 - y^2*z + 2*y^2*w + 2*y*z*w + 2*y*w^2 - 2*z^3 + 2*z^2*w - 2*z*w^2 - 2*w^3;
p6 := tt^6 - 36*tt^4 + 8*tt^3 + 288*tt^2 + 288*tt - 2336;
c_rad := 144;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 36;
Elt := [ 2, 2 ];
bp := [ 2, 3, 11 ];


gap_nr := 212;
gl := x^3 + 4*x^2*y - 2*x^2*z + 2*x^2*w + 2*x*y^2 + 2*x*y*z + 7*x*y*w - 3*x*z^2 - 3*x*z*w - 2*y^3 - 5*y^2*z - y^2*w - 3*y*z*w - 3*y*w^2 - 3*z^3 - 3*z^2*w + 9*z*w^2 + w^3;
p6 := tt^6 + 18*tt^4 + 192*tt^3 + 36*tt^2 + 27675*tt + 225201;
c_rad := 180;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 36;
Elt := [ 2, 6 ];
bp := [ 2, 3, 5, 2251, 11717 ];


gap_nr := 140;
gl := -x^3 + 3*x^2*z + 3*x^2*w - x*y^2 - 4*x*y*z - 3*x*y*w + 2*x*z^2 - 3*x*z*w - 3*x*w^2 + y^3 + 4*y^2*z + 3*y^2*w + 4*y*z^2 + 3*y*z*w - 6*y*w^2 + z^3 - 3*z^2*w - 4*w^3;
p6 := tt^6 + 9*tt^4 - 333*tt^3 - 90*tt^2 + 3465*tt + 6789;
c_rad := 441;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 18;
Elt := [ 6 ];
bp := [ 3, 7, 570547 ];


gap_nr := 135;
gl := x^3 + 7*x^2*y + 2*x^2*z + 8*x^2*w + x*y^2 + 3*x*y*z - 3*x*y*w - 4*x*z*w - 4*x*w^2 + y^2*z + 4*y^2*w - 3*y*z*w - 4*y*w^2 + z^2*w - z*w^2 + 31*w^3;
p6 := tt^6 - 30*tt^4 - 4*tt^3 + 333*tt^2 + 24*tt - 1364;
c_rad := -432;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 18;
Elt := [ 2 ];
bp := [ 2, 3, 5, 457 ];


gap_nr := 134;
gl := -6*x^3 - 8*x^2*y - 6*x^2*z + 13*x^2*w + 8*x*y^2 - 14*x*y*z + 13*x*y*w + 4*x*z^2 + 2*x*z*w + 11*x*w^2 + 2*y^3 + 14*y^2*z - 10*y^2*w - 7*y*z^2 + 14*y*z*w - 2*y*w^2 + 3*z^3 - 10*z^2*w - 34*z*w^2 + w^3;
p6 := tt^6 - 22*tt^4 + 113*tt^2 + 12*tt - 145;
c_rad := 32;
ch_pol_sm := tt^5 - 33*tt^4 - 1368*tt^3;
h1_gal := 1;
rk_pic := 2;
ord_gal := 18;
Elt := [ 3, 6 ];
bp := [ 2, 7, 13, 281 ];


gap_nr := 270;
gl := -6*x^3 + 2*x^2*y - 4*x^2*z + 4*x^2*w - 8*x*y*w - 3*x*z^2 - 2*x*z*w + x*w^2 + 5*y^3 + 4*y*z^2 - 2*y*w^2;
p6 := tt^6 - 70*tt^4 + 1100*tt^2 + 5000;
c_rad := 500;
ch_pol_sm := tt^5 - 31*tt^4 - 1748*tt^3;
h1_gal := 2;
rk_pic := 2;
ord_gal := 96;
Elt := [ 2, 2, 2 ];
bp := [ 2, 5, 7 ];


gap_nr := 231;
gl := 23*x^3 - 52*x^2*y + 14*x^2*z + 15*x^2*w + 2*x*y^2 - 2*x*y*z + 14*x*y*w + 2*x*z*w + 8*x*w^2 + 9*y^2*w - 2*y*z*w - 28*y*w^2 + 3*z^2*w - 32*z*w^2 - 18*w^3;
p6 := tt^6 + 56*tt^4 - 656*tt^3 - 336*tt^2 + 6300*tt + 9990;
c_rad := 4480;
ch_pol_sm := tt^5 - 31*tt^4 - 1748*tt^3;
h1_gal := 2;
rk_pic := 2;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 19, 3833 ];


gap_nr := 221;
gl := -x^2*w + 2*x*y*z + 4*x*y*w - 5*x*z*w - x*w^2 + y^2*z - 3*y^2*w + 2*y*z^2 - 4*y*z*w + z^3 - z^2*w - 3*w^3;
p6 := tt^6 + 282*tt^4 - 938*tt^3 - 6039*tt^2 + 23910*tt - 16883;
c_rad := 103680;
ch_pol_sm := tt^5 - 31*tt^4 - 1748*tt^3;
h1_gal := 2;
rk_pic := 2;
ord_gal := 48;
Elt := [ 2, 6 ];
bp := [ 2, 3, 5, 7, 19 ];


gap_nr := 222;
gl := -3*x^3 - x^2*y + 2*x^2*z - x^2*w + 3*x*y^2 - 4*x*y*z - 2*x*y*w + 2*x*z^2 - 6*x*z*w - 5*x*w^2 + y^3 + 2*y^2*z - 2*y*z^2 + 3*y*w^2 - 5*z^2*w + 4*z*w^2 + 3*w^3;
p6 := tt^6 + 28*tt^4 - 60*tt^3 + 180*tt^2 + 168*tt + 644;
c_rad := 64;
ch_pol_sm := tt^5 - 31*tt^4 - 1748*tt^3;
h1_gal := 2;
rk_pic := 2;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 5, 7, 11, 71 ];


gap_nr := 25;
gl := x^3 + x^2*y - 5*x^2*w + 4*x*y*z + x*y*w + 3*x*z^2 + 3*x*z*w + y^3 + y^2*z + 3*y^2*w - 3*y*z*w + 4*y*w^2 - z^3 - z^2*w - 3*w^3;
p6 := tt^6 - 12*tt^4 - 10*tt^3 + 35*tt^2 + 34*tt;
c_rad := 4;
ch_pol_sm := tt^6 - 45*tt^5;
h1_gal := 4;
rk_pic := 1;
ord_gal := 6;
Elt := [ 2 ];
bp := [ 2, 3, 31 ];


gap_nr := 218;
gl := x^2*y - 4*x^2*w - 8*x*y*z - 4*x*y*w - 3*x*z^2 - x*w^2 + 2*y^3 + 6*y^2*w - y*z^2 - 2*y*z*w + 2*y*w^2 + 3*z^3 - z^2*w - 3*z*w^2;
p6 := tt^6 + 26*tt^4 + 68*tt^3 + 204*tt^2 + 224*tt + 196;
c_rad := -140;
ch_pol_sm := tt^6 - 31*tt^5 - 1484*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 48;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 19 ];


gap_nr := 151;
gl := x^2*z - 2*x*y*w + y^2*z - 2*y^2*w + 2*y*z*w + 2*z^2*w - w^3;
p6 := tt^6 + 12*tt^4 - 74*tt^3 - 45*tt^2 + 204*tt - 89;
c_rad := 324;
ch_pol_sm := tt^6 - 31*tt^5 - 1484*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 24;
Elt := [ 6 ];
bp := [ 2, 3 ];


gap_nr := 150;
gl := 2*x^3 + 3*x^2*z + 3*x^2*w - 10*x*y^2 - 44*x*y*z + 8*x*y*w - 71*x*z^2 - 2*x*z*w - 13*x*w^2 + y^3 - 6*y^2*w - 19*y*z^2 - 20*y*z*w - 53*y*w^2 - 45*z^3 - 35*z^2*w + 48*z*w^2 - 7*w^3;
p6 := tt^6 + 293*tt^4 + 15360*tt^3 - 191565*tt^2 + 344960*tt - 207001;
c_rad := 852109;
ch_pol_sm := tt^6 - 31*tt^5 - 1484*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 24;
Elt := [ 2 ];
bp := [ 3, 17, 61, 83, 229, 210853 ];


gap_nr := 193;
gl := -x^3 + 2*x^2*y - 3*x^2*z - x*y^2 - 2*x*y*z - 4*x*y*w - 5*x*z^2 + 2*x*z*w + x*w^2 - y^3 + 3*y^2*z + 4*y*z^2 - 2*y*z*w + z^3 - 2*z^2*w - z*w^2 + 6*w^3;
p6 := tt^6 + 2*tt^4 + 44*tt^3 - 1007*tt^2 + 3140*tt - 2576;
c_rad := 4032;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 32;
Elt := [ 2, 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 59 ];


gap_nr := 109;
gl := x^3 - 4*x^2*y - x^2*z - 11*x^2*w + 5*x*y^2 + 21*x*y*w + 3*x*z^2 - 2*x*z*w + 20*x*w^2 - 2*y^3 + 2*y^2*z - 6*y^2*w - 4*y*z^2 + 9*y*z*w + 23*y*w^2 - 11*z^3 + z^2*w - 6*z*w^2 + 6*w^3;
p6 := tt^6 - 152*tt^4 - 408*tt^3 + 5874*tt^2 + 26960*tt + 11384;
c_rad := -392;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 13, 419 ];


gap_nr := 112;
gl := -4*x^2*y - 4*x^2*z + 5*x^2*w - 2*x*y^2 - 5*x*y*z - x*y*w - 3*x*z^2 + 9*x*z*w + 12*x*w^2 - y^3 + 3*y^2*z - 2*y^2*w + 3*y*z^2 - y*z*w - 7*y*w^2 - z^3 - 9*z^2*w + 7*z*w^2 - 3*w^3;
p6 := tt^6 - 156*tt^4 - 448*tt^3 + 6568*tt^2 + 26432*tt + 10976;
c_rad := -1936;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 73 ];


gap_nr := 124;
gl := -x^2*y + 5*x^2*z + x^2*w - 2*x*y*z - 4*x*y*w - 2*x*z^2 - 4*x*w^2 - y^3 + 5*y^2*z - 2*y^2*w - 5*y*z^2 - 8*y*z*w + 2*y*w^2 + z^3 - 4*z^2*w + 2*z*w^2 + 16*w^3;
p6 := tt^6 - 144*tt^4 - 368*tt^3 + 5364*tt^2 + 23712*tt + 9968;
c_rad := -720;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 13, 17 ];


gap_nr := 126;
gl := 5*x^3 + 9*x^2*y + 2*x^2*z + 7*x^2*w + 5*x*y^2 + 2*x*y*z + 10*x*y*w + 4*x*z^2 + 4*x*z*w - 10*x*w^2 + y^3 + 4*y*z^2 + 22*y*w^2 + 10*z^2*w + 4*z*w^2 + 2*w^3;
p6 := tt^6 - 75*tt^4 - 160*tt^3 + 855*tt^2 + 1296*tt - 1917;
c_rad := 2205;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 71 ];


gap_nr := 114;
gl := x^3 + 3*x^2*z - 2*x^2*w - 3*x*y^2 + 2*x*y*z - 3*x*y*w + 3*x*z^2 - 6*x*z*w + 4*x*w^2 + y^3 - 2*y^2*w + 2*y*z^2 + 3*y*z*w + 2*y*w^2 - 3*z^3 + 2*z*w^2 + 2*w^3;
p6 := tt^6 - 58*tt^4 - 76*tt^3 + 265*tt^2 + 548*tt + 112;
c_rad := 2304;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7 ];


gap_nr := 116;
gl := x^3 - x^2*y + 4*x^2*z - 5*x^2*w - 5*x*y^2 + 18*x*y*z - 8*x*y*w - 36*x*z*w - 13*x*w^2 + 5*y^3 + 5*y^2*z + 5*y^2*w + 22*y*z*w - 31*y*w^2 + 4*z^3 - 8*z*w^2 + 2*w^3;
p6 := tt^6 + 32*tt^4 - 95*tt^3 - 1075*tt^2 + 2660*tt - 16940;
c_rad := 5324;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 4 ];
bp := [ 2, 5, 7, 11, 23, 6089 ];


gap_nr := 52;
gl := -4*x^3 - 10*x^2*y - 6*x^2*z - 5*x^2*w - 12*x*y^2 + 4*x*y*w + x*z^2 + 3*x*z*w + 13*x*w^2 - 6*y^3 - 6*y^2*z + 13*y^2*w - 16*y*z^2 + 3*y*z*w - 3*y*w^2 + 7*z^2*w + 3*z*w^2 + w^3;
p6 := tt^6 - 42*tt^4 - 204*tt^3 - 1408*tt^2 + 1952*tt - 992;
c_rad := 7396;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 4 ];
bp := [ 2, 5, 7, 11, 29, 43, 1931 ];


gap_nr := 62;
gl := x^2*z - x^2*w - x*y*w + 2*x*z^2 + 4*x*z*w + 5*x*w^2 + 2*y^2*z + 2*y^2*w + 3*y*z*w + y*w^2 + z^3 - 3*z^2*w + w^3;
p6 := tt^6 - 4*tt^4 + 4*tt^3 + 13*tt^2 + 52*tt - 42;
c_rad := -36;
ch_pol_sm := tt^6 - 31*tt^5 - 1220*tt^4;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3, 73 ];


gap_nr := 94;
gl := x^3 - x^2*y + 3*x^2*z - 4*x^2*w + 30*x*y^2 + 13*x*y*z + 13*x*y*w + 4*x*z^2 - 7*x*z*w + 3*x*w^2 + 6*y^3 - 10*y^2*z + 13*y^2*w + 15*y*z^2 - 10*y*z*w - 17*y*w^2 + 3*z^3 - 8*z^2*w + 5*z*w^2 - w^3;
p6 := tt^6 + 38*tt^4 + 13*tt^3 + 199*tt^2 + 403*tt - 558;
c_rad := 648;
ch_pol_sm := tt^6 - 21*tt^5 - 1080*tt^4;
h1_gal := 1;
rk_pic := 2;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 31, 47, 431 ];


gap_nr := 38;
gl := -2*x^3 + 5*x^2*y - x^2*w - 6*x*y^2 + 3*x*y*z - 2*x*y*w + 8*x*z^2 + 7*x*z*w + 4*x*w^2 + 4*y^3 + 6*y^2*z + 5*y*z^2 + 4*y*z*w + 3*y*w^2 - 5*z^3 - 5*z^2*w + 7*z*w^2 + 2*w^3;
p6 := tt^6 + 95*tt^4 + 971*tt^3 + 2636*tt^2 + 420*tt;
c_rad := -1519;
ch_pol_sm := tt^6 - 21*tt^5 - 1080*tt^4;
h1_gal := 1;
rk_pic := 2;
ord_gal := 6;
Elt := [ 2 ];
bp := [ 2, 7, 31, 149, 1063, 1931 ];


gap_nr := 119;
gl := 2*x^3 + x^2*y + 7*x^2*z - 6*x^2*w - 8*x*y^2 - 12*x*y*z - x*y*w + 4*x*z^2 - 2*x*z*w - 4*y^3 + 5*y^2*z + y^2*w - 2*y*z*w + 4*z^3 + 4*z^2*w + z*w^2;
p6 := tt^6 - 26*tt^4 + 84*tt^3 - 119*tt^2 + 36*tt + 112;
c_rad := 1152;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 73 ];


gap_nr := 51;
gl := 2*x^2*w - 2*x*y*z + 2*x*y*w - 2*x*z^2 - 4*x*z*w + 22*x*w^2 + 9*y^2*w + 4*y*z^2 - 6*y*z*w + 2*y*w^2 - 3*z^3 + 14*z^2*w + 12*z*w^2 + 5*w^3;
p6 := tt^6 - 154*tt^4 + 1036*tt^3 - 2783*tt^2 + 3388*tt;
c_rad := 34848;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3, 7, 11, 23, 31 ];


gap_nr := 50;
gl := -4*x^2*y + x*z^2 + 2*x*w^2 + 2*y^3 + 2*y*z*w - y*w^2;
p6 := tt^6 + 8*tt^4 - 2*tt^2 - 16;
c_rad := 72;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3 ];


gap_nr := 56;
gl := x^2*y - 4*x^2*z - x^2*w + 6*x*y^2 - x*y*z + 5*x*y*w + 7*x*z^2 + 10*x*z*w - 11*x*w^2 + 4*y^3 + 3*y^2*z + 4*y^2*w + 11*y*z^2 - 11*y*z*w - 9*y*w^2 - 9*z^3 - 4*z^2*w - z*w^2 + w^3;
p6 := tt^6 - 160*tt^4 + 2125*tt^3 - 14725*tt^2 + 56500*tt - 228750;
c_rad := 84500;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 4 ];
bp := [ 2, 5, 7, 13, 31, 311, 421 ];


gap_nr := 103;
gl := -2*x^3 - 15*x^2*y + 14*x^2*z + 15*x^2*w + 5*x*y^2 + 10*x*y*z - 40*x*y*w - 9*x*z^2 + 2*x*z*w + 23*x*w^2 - 5*y^2*z + 15*y^2*w + 5*y*z^2 + 10*y*z*w + 25*y*w^2 - 3*z^3 - 5*z^2*w + 11*z*w^2 - 19*w^3;
p6 := tt^6 - 180*tt^4 - 264*tt^3 + 5212*tt^2 + 6432*tt - 34560;
c_rad := 11552;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 19 ];


gap_nr := 55;
gl := -5*x^2*y - 25*x^2*z - 5*x^2*w + 15*x*y^2 + 6*x*y*z + 48*x*y*w - 15*x*z^2 - 14*x*z*w - 22*x*w^2 + 7*y^3 - 9*y^2*z + 49*y^2*w - 13*y*z^2 - 12*y*z*w - 28*y*w^2 + 19*z^3 - 47*z^2*w + 40*z*w^2 + 8*w^3;
p6 := tt^6 - 180*tt^4 - 302*tt^3 + 7225*tt^2 + 21202*tt - 7426;
c_rad := 3500;
ch_pol_sm := tt^7 - 31*tt^6 - 956*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 19, 31, 59 ];


gap_nr := 123;
gl := -x^3 - 3*x^2*y - x^2*w - 4*x*y^2 + 8*x*y*z - 8*x*y*w - 2*x*z^2 - 10*x*z*w + 5*x*w^2 - 3*y^3 + 2*y^2*z + 6*y^2*w - y*z^2 - 2*y*z*w + 2*z^2*w - 2*z*w^2 + 17*w^3;
p6 := tt^6 - 15*tt^4 - 32*tt^3 + 55*tt^2 + 112*tt + 23;
c_rad := 5;
ch_pol_sm := tt^7 - 23*tt^6 - 924*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 16;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 19, 89 ];


gap_nr := 65;
gl := -x^3 - 3*x^2*y - 2*x^2*z + 3*x*y^2 - 2*x*y*z + 4*x*y*w + 4*x*z^2 + 2*x*z*w - 4*y^3 - 4*y^2*z + 2*y^2*w - 2*y*z^2 - 6*y*z*w - y*w^2 + 8*z^3 - 4*z^2*w;
p6 := tt^6 - 17*tt^4 - 32*tt^3 + 72*tt^2 + 32*tt - 56;
c_rad := 1;
ch_pol_sm := tt^7 - 23*tt^6 - 924*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3, 7, 11, 31 ];


gap_nr := 60;
gl := 3*x^2*z - x^2*w + x*y*z - x*y*w + 2*x*z^2 - 2*x*z*w + 2*y^2*z + 3*y^2*w + y*w^2 - z^3 + 2*z^2*w + 3*z*w^2 - w^3;
p6 := tt^6 + 16*tt^4 + 33*tt^3 - 111*tt^2 + 154*tt - 124;
c_rad := 700;
ch_pol_sm := tt^7 - 23*tt^6 - 924*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 4 ];
bp := [ 2, 3, 5, 7, 131 ];


gap_nr := 64;
gl := x^3 + x^2*y + 2*x^2*z + 2*x*y^2 + 2*x*y*z + x*z^2 + 2*x*z*w + x*w^2 + 2*y^3 + y*z^2 - 4*y*z*w + y*w^2 - 2*z^2*w - 2*z*w^2 - w^3;
p6 := tt^6 - 52*tt^4 - 80*tt^3 + 964*tt^2 + 1696*tt - 9888;
c_rad := -1152;
ch_pol_sm := tt^7 - 23*tt^6 - 924*tt^5;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3, 11 ];


gap_nr := 32;
gl := -x^3 - x^2*y + 2*x^2*z - 3*x^2*w + 2*x*y^2 - x*y*z - 2*x*y*w + 7*x*z^2 - x*z*w - 4*x*w^2 + y^3 - 6*y^2*z + 2*y^2*w + 2*y*z*w + y*w^2 + 3*z^3 - 2*z^2*w - 4*z*w^2 + 4*w^3;
p6 := tt^6 - 14*tt^4 - 8*tt^3 + 41*tt^2 + 32*tt - 4;
c_rad := 32;
ch_pol_sm := tt^7 - 15*tt^6 - 936*tt^5;
h1_gal := 1;
rk_pic := 2;
ord_gal := 6;
Elt := [ 6 ];
bp := [ 2, 7 ];


gap_nr := 43;
gl := -2*x^2*w + x*y^2 - 7*x*y*z - 10*x*y*w - 7*x*z^2 - 56*x*z*w - 12*x*w^2 - y^3 + 14*y^2*z - 2*y^2*w - 42*y*z^2 - 21*y*z*w + 32*y*w^2 - 49*z^3 + 35*z^2*w + 16*w^3;
p6 := tt^6 - 46*tt^4 - 46*tt^3 + 493*tt^2 + 506*tt - 1188;
c_rad := 144;
ch_pol_sm := tt^8 - 31*tt^7 - 692*tt^6;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 19 ];


gap_nr := 69;
gl := x^3 + 28*x^2*y + 12*x^2*z - 19*x^2*w + 38*x*y^2 - 56*x*y*z - 28*x*y*w - 36*x*z^2 + 44*x*z*w - 27*x*w^2 - 14*y^3 + 12*y^2*z - 4*y^2*w - 21*y*z^2 + 14*y*z*w + 28*y*w^2 - 27*z^3 + 39*z^2*w + 4*z*w^2 - 11*w^3;
p6 := tt^6 - 112*tt^4 - 442*tt^3 + 661*tt^2 + 3086*tt - 2130;
c_rad := 9900;
ch_pol_sm := tt^8 - 23*tt^7 - 724*tt^6;
h1_gal := 2;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 13, 17, 79 ];


gap_nr := 168;
gl := -x^2*w + 3*x*y^2 + x*y*z + x*y*w - x*z*w + 6*x*w^2 + y^3 + y*z^2 - 3*y*z*w - y*w^2 - 3*z^2*w - z*w^2 + 5*w^3;
p6 := tt^6 + 72*tt^4 + 272*tt^3 + 576*tt^2 + 576*tt + 352;
c_rad := 2880;
ch_pol_sm := tt^8 - tt^7 - 1076*tt^6 - 13212*tt^5;
h1_gal := 1;
rk_pic := 3;
ord_gal := 24;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 197 ];


gap_nr := 97;
gl := x^2*y + x^2*z + 2*x*y*z + x*z^2 + 2*x*z*w - x*w^2 - y^2*z - 2*y^2*w - y*z^2 - y*z*w - z^3 - z*w^2 + 3*w^3;
p6 := tt^6 + 84*tt^4 + 148*tt^3 + 1548*tt^2 + 1464*tt + 7204;
c_rad := 864;
ch_pol_sm := tt^8 - tt^7 - 1076*tt^6 - 13212*tt^5;
h1_gal := 1;
rk_pic := 3;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 43 ];


gap_nr := 87;
gl := -x^2*z + x^2*w - 4*x*w^2 + 3*y^2*w + 2*y*z^2 - 2*y*z*w - z^3 - z^2*w;
p6 := tt^6 + 96*tt^4 + 120*tt^3 + 1008*tt^2 + 1440*tt + 6192;
c_rad := 5184;
ch_pol_sm := tt^8 - tt^7 - 1076*tt^6 - 13212*tt^5;
h1_gal := 1;
rk_pic := 3;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 43 ];


gap_nr := 88;
gl := 2*x^2*y + 2*x*y^2 - x*y*w + 5*x*z^2 + x*z*w - x*w^2 + y^2*z + y^2*w - 2*y*z^2 + y*z*w + z^3 - 2*z^2*w + 3*z*w^2 + w^3;
p6 := tt^6 + 42*tt^4 + 133*tt^3 + 196*tt^2 + 147*tt + 49;
c_rad := 980;
ch_pol_sm := tt^8 - tt^7 - 1076*tt^6 - 13212*tt^5;
h1_gal := 1;
rk_pic := 3;
ord_gal := 12;
Elt := [ 2, 6 ];
bp := [ 2, 3, 5, 7, 13, 29 ];


gap_nr := 44;
gl := 2*x^3 - 4*x*y^2 + 2*x*z*w + x*w^2 - y*z^2 - 2*y*w^2;
p6 := tt^6 - 8*tt^4 - 2*tt^2 + 16;
c_rad := 72;
ch_pol_sm := tt^9 - 15*tt^8 - 492*tt^7;
h1_gal := 4;
rk_pic := 2;
ord_gal := 8;
Elt := [ 2, 2 ];
bp := [ 2, 3 ];


gap_nr := 13;
gl := -x^3 + 4*x^2*y + x^2*z - 4*x^2*w + 3*x*y^2 + x*y*w + x*z^2 - 3*x*z*w + x*w^2 - y^3 + 2*y^2*w + 3*y*z*w - 3*z*w^2 - w^3;
p6 := tt^6 + 6*tt^4 + 23*tt^3 - 71*tt^2 + 74*tt - 44;
c_rad := 320;
ch_pol_sm := tt^9 - 15*tt^8 - 492*tt^7;
h1_gal := 4;
rk_pic := 2;
ord_gal := 4;
Elt := [ 4 ];
bp := [ 2, 5, 11, 41 ];


gap_nr := 21;
gl := -x^3 - 4*x^2*y - 5*x^2*z - 22*x^2*w + x*y^2 - 12*x*y*z + 14*x*y*w - 8*x*z^2 - 12*x*z*w - 11*x*w^2 + y^2*z + 15*y^2*w - 8*y*z^2 + 4*y*z*w - 14*y*w^2 - 4*z^3 + 10*z^2*w + 17*z*w^2 - 4*w^3;
p6 := tt^6 - 114*tt^4 - 48*tt^3 + 2801*tt^2 + 3840*tt - 6480;
c_rad := 1792;
ch_pol_sm := tt^9 - 15*tt^8 - 492*tt^7;
h1_gal := 2;
rk_pic := 2;
ord_gal := 4;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 19, 29 ];


gap_nr := 89;
gl := 2*x^2*y + x^2*z - 2*x*y^2 + 2*x*y*z + 4*x*y*w - 4*x*z^2 + 10*x*z*w - 5*y^3 + 5*y^2*z + 2*y^2*w - 6*y*z^2 - 6*y*z*w + 4*y*w^2 - 2*z^3 + 4*z^2*w + z*w^2;
p6 := tt^6 - 18*tt^4 - 312*tt^3 + 1164*tt^2 + 2928*tt + 1496;
c_rad := -4332;
ch_pol_sm := tt^9 - tt^8 - 908*tt^7 - 10188*tt^6;
h1_gal := 1;
rk_pic := 3;
ord_gal := 12;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 19, 29, 7109 ];


gap_nr := 36;
gl := 2*x^2*w - 3*x*y*z - x*z^2 + x*z*w - 3*x*w^2 - y^3 - 2*y^2*w + y*z*w - y*w^2 + z^3 - z^2*w - w^3;
p6 := tt^6 + 14*tt^4 + 14*tt^3 - 147*tt^2 + 70*tt + 889;
c_rad := 784;
ch_pol_sm := tt^9 - tt^8 - 908*tt^7 - 10188*tt^6;
h1_gal := 1;
rk_pic := 3;
ord_gal := 6;
Elt := [ 6 ];
bp := [ 2, 7, 29 ];


gap_nr := 35;
gl := x^3 + x^2*y - x^2*z - 2*x*y^2 + 3*x*y*z - x*y*w + 3*x*z*w + x*w^2 + 2*y^3 - 2*y^2*z + y^2*w + 2*y*z*w + 9*y*w^2 + 2*z^3 - z^2*w + 4*z*w^2;
p6 := tt^6 - 20*tt^4 - 69*tt^3 + 224*tt^2 + 597*tt + 299;
c_rad := -496;
ch_pol_sm := tt^9 - tt^8 - 908*tt^7 - 10188*tt^6;
h1_gal := 1;
rk_pic := 3;
ord_gal := 6;
Elt := [ 2 ];
bp := [ 2, 7, 31, 67 ];


gap_nr := 100;
gl := -2*x^2*z + 3*x^2*w - 2*x*y*z - 2*x*y*w - 2*x*z^2 + 2*x*w^2 + 2*y^2*z - 3*y^2*w - y*z^2 + y*w^2 - 2*z^3 + z^2*w - 4*z*w^2 + 2*w^3;
p6 := tt^6 - 10*tt^4 + 92*tt^3 - 542*tt^2 + 1160*tt - 800;
c_rad := 2268;
ch_pol_sm := tt^9 + 3*tt^8 - 864*tt^7 - 10692*tt^6;
h1_gal := 2;
rk_pic := 3;
ord_gal := 16;
Elt := [ 2, 2, 2, 2 ];
bp := [ 2, 3, 5, 7, 19 ];


gap_nr := 48;
gl := -2*x^2*w + x*y*z - 2*x*y*w + x*z^2 - 12*x*z*w + 12*x*w^2 - y^2*z - 5*y^2*w - 2*y*z^2 + 2*y*z*w - 4*y*w^2 - z^3 - 8*z^2*w - 4*z*w^2 - 8*w^3;
p6 := tt^6 - 340*tt^4 - 168*tt^3 + 41860*tt^2 + 210000*tt - 951984;
c_rad := -51840;
ch_pol_sm := tt^9 + 3*tt^8 - 864*tt^7 - 10692*tt^6;
h1_gal := 2;
rk_pic := 3;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 41 ];


gap_nr := 42;
gl := 6*x^3 + 5*x^2*y + 6*x^2*z + x^2*w - 2*x*y^2 - x*y*z + 14*x*y*w - 5*x*z*w - 2*x*w^2 - y^3 - y^2*z - 2*y^2*w - 3*y*z*w - 4*y*w^2 - z^2*w - 23*w^3;
p6 := tt^6 - 86*tt^4 + 324*tt^3 - 455*tt^2 + 372*tt - 1292;
c_rad := 9216;
ch_pol_sm := tt^9 + 3*tt^8 - 864*tt^7 - 10692*tt^6;
h1_gal := 2;
rk_pic := 3;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5, 11, 97 ];


gap_nr := 12;
gl := -6*x^3 + x^2*y - 6*x^2*w + 14*x*y^2 + 9*x*y*z - 8*x*y*w - 15*x*z^2 - 2*x*z*w - 3*y^3 - 10*y^2*z + 2*y^2*w + 5*y*z^2 + 5*y*z*w + 4*z^3 + 41*z^2*w + 5*z*w^2;
p6 := tt^6 - 117*tt^4 + 3212*tt^2 - 20160;
c_rad := 841;
ch_pol_sm := tt^10 - 15*tt^9 - 356*tt^8;
h1_gal := 4;
rk_pic := 2;
ord_gal := 4;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 29 ];


gap_nr := 53;
gl := -2*x^3 - 2*x^2*y - x*y^2 + x*z^2 + 4*x*z*w - x*w^2 - y^3 - y*z^2 + y*z*w + y*w^2;
p6 := tt^6 - 22*tt^4 + 49*tt^2 - 180;
c_rad := 288;
ch_pol_sm := tt^10 + 3*tt^9 - 728*tt^8 - 8244*tt^7;
h1_gal := 2;
rk_pic := 3;
ord_gal := 8;
Elt := [ 2, 2, 2 ];
bp := [ 2, 3, 5 ];


gap_nr := 17;
gl := x^2*y - x*y*z - x*z*w + 2*y^3 + y^2*z + y*z^2 - z^2*w - z*w^2;
p6 := tt^6 - 2*tt^4 - 16*tt^3 + 9*tt^2 + 64*tt - 68;
c_rad := -32;
ch_pol_sm := tt^10 + 3*tt^9 - 728*tt^8 - 8244*tt^7;
h1_gal := 2;
rk_pic := 3;
ord_gal := 4;
Elt := [ 2, 2 ];
bp := [ 2, 3, 17 ];


gap_nr := 14;
gl := x^3 - 10*x^2*z - x^2*w + 2*x*y^2 - 6*x*y*z + 2*x*y*w - 10*x*z^2 + 6*x*z*w - 5*x*w^2 + 3*y^3 + 4*y^2*z + 3*y^2*w - y*z^2 + 2*y*z*w - 10*y*w^2 - 9*z^2*w + 4*z*w^2 + 5*w^3;
p6 := tt^6 - 78*tt^4 - 98*tt^3 + 1517*tt^2 + 2966*tt - 2508;
c_rad := 16;
ch_pol_sm := tt^11 + 3*tt^10 - 592*tt^9 - 5796*tt^8;
h1_gal := 2;
rk_pic := 3;
ord_gal := 4;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 11, 59 ];


gap_nr := 16;
gl := -x^2*w + x*y*z - 3*x*z^2 - 4*x*z*w + 6*x*w^2 + y^2*w - 3*y*z^2 + 7*y*z*w + 6*y*w^2 + z*w^2;
p6 := tt^6 - 98*tt^4 - 36*tt^3 + 2113*tt^2 + 324*tt - 11808;
c_rad := 1152;
ch_pol_sm := tt^12 + 3*tt^11 - 504*tt^10 - 4900*tt^9;
h1_gal := 2;
rk_pic := 3;
ord_gal := 4;
Elt := [ 2, 2 ];
bp := [ 2, 3, 5, 7, 41 ];


gap_nr := 3;
gl := -2*x^2*w + x*y^2 + 3*x*y*z + x*z^2 + x*w^2 + 4*y^2*w - 3*y*z*w - z^2*w;
p6 := tt^6 - 30*tt^4 + 209*tt^2 - 180;
c_rad := 64;
ch_pol_sm := tt^15 + 3*tt^14 - 240*tt^13 - 1700*tt^12;
h1_gal := 4;
rk_pic := 3;
ord_gal := 2;
Elt := [ 2 ];
bp := [ 2, 3, 5 ];