// Magma code for the lmfdb family of higher genus curves 15.336-134.0.2-3-12.1
// The results are stored in a list of records called 'data'

RecFormat:=recformat<group,gp_id, signature,gen_vectors,conj_classes,genus,dimension,r,g0, passport_label,gen_vect_label, is_hyperelliptic, hyp_involution, is_cyclic_trigonal,cyc_auto,full_auto, full_sign,topological_class,braid_class>;

data:=[];

// Create group as a permutation group, and generate data which is the same for all entries.
gp_id:=[336,134];
H:=SmallGroup(gp_id[1],gp_id[2]); n:=#H; LP:=[]; LG:=[g : g in H]; for i in [1..n] do x:=LG[i]; Tx:=[LG[j]*x : j in [1..n]]; permL:=[]; for j in [1..n] do for k in [1..n] do if Tx[j] eq LG[k] then permL[j]:=k;  break; end if; end for; end for; Append(~LP,permL); end for; G:=PermutationGroup<n|LP>; 
signature:=[0,2,3,12];
genus:=15;
r:=#signature-1;
g0:=signature[1];
dim:=3*g0-3+r;
S:=Sym(gp_id[1]);

// Here we add an action to data.
gen_vectors:=[[183, 184, 195, 196, 193, 194, 191, 192, 189, 190, 187, 188, 185, 186, 170, 169, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 211, 212, 223, 224, 221, 222, 219, 220, 217, 218, 215, 216, 213, 214, 198, 197, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 239, 240, 251, 252, 249, 250, 247, 248, 245, 246, 243, 244, 241, 242, 226, 225, 238, 237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 267, 268, 279, 280, 277, 278, 275, 276, 273, 274, 271, 272, 269, 270, 254, 253, 266, 265, 264, 263, 262, 261, 260, 259, 258, 257, 256, 255, 295, 296, 307, 308, 305, 306, 303, 304, 301, 302, 299, 300, 297, 298, 282, 281, 294, 293, 292, 291, 290, 289, 288, 287, 286, 285, 284, 283, 323, 324, 335, 336, 333, 334, 331, 332, 329, 330, 327, 328, 325, 326, 310, 309, 322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 16, 15, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 1, 2, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 44, 43, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 29, 30, 41, 42, 39, 40, 37, 38, 35, 36, 33, 34, 31, 32, 72, 71, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 57, 58, 69, 70, 67, 68, 65, 66, 63, 64, 61, 62, 59, 60, 100, 99, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 85, 86, 97, 98, 95, 96, 93, 94, 91, 92, 89, 90, 87, 88, 128, 127, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 113, 114, 125, 126, 123, 124, 121, 122, 119, 120, 117, 118, 115, 116, 156, 155, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 141, 142, 153, 154, 151, 152, 149, 150, 147, 148, 145, 146, 143, 144], [107, 108, 101, 102, 109, 110, 103, 104, 111, 112, 105, 106, 99, 100, 66, 65, 60, 59, 68, 67, 62, 61, 70, 69, 64, 63, 58, 57, 93, 94, 87, 88, 95, 96, 89, 90, 97, 98, 91, 92, 85, 86, 80, 79, 74, 73, 82, 81, 76, 75, 84, 83, 78, 77, 72, 71, 163, 164, 157, 158, 165, 166, 159, 160, 167, 168, 161, 162, 155, 156, 122, 121, 116, 115, 124, 123, 118, 117, 126, 125, 120, 119, 114, 113, 149, 150, 143, 144, 151, 152, 145, 146, 153, 154, 147, 148, 141, 142, 136, 135, 130, 129, 138, 137, 132, 131, 140, 139, 134, 133, 128, 127, 51, 52, 45, 46, 53, 54, 47, 48, 55, 56, 49, 50, 43, 44, 10, 9, 4, 3, 12, 11, 6, 5, 14, 13, 8, 7, 2, 1, 37, 38, 31, 32, 39, 40, 33, 34, 41, 42, 35, 36, 29, 30, 24, 23, 18, 17, 26, 25, 20, 19, 28, 27, 22, 21, 16, 15, 275, 276, 269, 270, 277, 278, 271, 272, 279, 280, 273, 274, 267, 268, 234, 233, 228, 227, 236, 235, 230, 229, 238, 237, 232, 231, 226, 225, 261, 262, 255, 256, 263, 264, 257, 258, 265, 266, 259, 260, 253, 254, 248, 247, 242, 241, 250, 249, 244, 243, 252, 251, 246, 245, 240, 239, 331, 332, 325, 326, 333, 334, 327, 328, 335, 336, 329, 330, 323, 324, 290, 289, 284, 283, 292, 291, 286, 285, 294, 293, 288, 287, 282, 281, 317, 318, 311, 312, 319, 320, 313, 314, 321, 322, 315, 316, 309, 310, 304, 303, 298, 297, 306, 305, 300, 299, 308, 307, 302, 301, 296, 295, 219, 220, 213, 214, 221, 222, 215, 216, 223, 224, 217, 218, 211, 212, 178, 177, 172, 171, 180, 179, 174, 173, 182, 181, 176, 175, 170, 169, 205, 206, 199, 200, 207, 208, 201, 202, 209, 210, 203, 204, 197, 198, 192, 191, 186, 185, 194, 193, 188, 187, 196, 195, 190, 189, 184, 183], [283, 284, 293, 294, 289, 290, 285, 286, 281, 282, 291, 292, 287, 288, 311, 312, 321, 322, 317, 318, 313, 314, 309, 310, 319, 320, 315, 316, 325, 326, 335, 336, 331, 332, 327, 328, 323, 324, 333, 334, 329, 330, 297, 298, 307, 308, 303, 304, 299, 300, 295, 296, 305, 306, 301, 302, 171, 172, 181, 182, 177, 178, 173, 174, 169, 170, 179, 180, 175, 176, 199, 200, 209, 210, 205, 206, 201, 202, 197, 198, 207, 208, 203, 204, 213, 214, 223, 224, 219, 220, 215, 216, 211, 212, 221, 222, 217, 218, 185, 186, 195, 196, 191, 192, 187, 188, 183, 184, 193, 194, 189, 190, 227, 228, 237, 238, 233, 234, 229, 230, 225, 226, 235, 236, 231, 232, 255, 256, 265, 266, 261, 262, 257, 258, 253, 254, 263, 264, 259, 260, 269, 270, 279, 280, 275, 276, 271, 272, 267, 268, 277, 278, 273, 274, 241, 242, 251, 252, 247, 248, 243, 244, 239, 240, 249, 250, 245, 246, 116, 115, 126, 125, 122, 121, 118, 117, 114, 113, 124, 123, 120, 119, 144, 143, 154, 153, 150, 149, 146, 145, 142, 141, 152, 151, 148, 147, 158, 157, 168, 167, 164, 163, 160, 159, 156, 155, 166, 165, 162, 161, 130, 129, 140, 139, 136, 135, 132, 131, 128, 127, 138, 137, 134, 133, 4, 3, 14, 13, 10, 9, 6, 5, 2, 1, 12, 11, 8, 7, 32, 31, 42, 41, 38, 37, 34, 33, 30, 29, 40, 39, 36, 35, 46, 45, 56, 55, 52, 51, 48, 47, 44, 43, 54, 53, 50, 49, 18, 17, 28, 27, 24, 23, 20, 19, 16, 15, 26, 25, 22, 21, 60, 59, 70, 69, 66, 65, 62, 61, 58, 57, 68, 67, 64, 63, 88, 87, 98, 97, 94, 93, 90, 89, 86, 85, 96, 95, 92, 91, 102, 101, 112, 111, 108, 107, 104, 103, 100, 99, 110, 109, 106, 105, 74, 73, 84, 83, 80, 79, 76, 75, 72, 71, 82, 81, 78, 77]];
cc:=[3,4,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
gen_vect_label:=1;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[183, 184, 195, 196, 193, 194, 191, 192, 189, 190, 187, 188, 185, 186, 170, 169, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 211, 212, 223, 224, 221, 222, 219, 220, 217, 218, 215, 216, 213, 214, 198, 197, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 239, 240, 251, 252, 249, 250, 247, 248, 245, 246, 243, 244, 241, 242, 226, 225, 238, 237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 267, 268, 279, 280, 277, 278, 275, 276, 273, 274, 271, 272, 269, 270, 254, 253, 266, 265, 264, 263, 262, 261, 260, 259, 258, 257, 256, 255, 295, 296, 307, 308, 305, 306, 303, 304, 301, 302, 299, 300, 297, 298, 282, 281, 294, 293, 292, 291, 290, 289, 288, 287, 286, 285, 284, 283, 323, 324, 335, 336, 333, 334, 331, 332, 329, 330, 327, 328, 325, 326, 310, 309, 322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 16, 15, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 1, 2, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 44, 43, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 29, 30, 41, 42, 39, 40, 37, 38, 35, 36, 33, 34, 31, 32, 72, 71, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 57, 58, 69, 70, 67, 68, 65, 66, 63, 64, 61, 62, 59, 60, 100, 99, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 85, 86, 97, 98, 95, 96, 93, 94, 91, 92, 89, 90, 87, 88, 128, 127, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 113, 114, 125, 126, 123, 124, 121, 122, 119, 120, 117, 118, 115, 116, 156, 155, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 141, 142, 153, 154, 151, 152, 149, 150, 147, 148, 145, 146, 143, 144], [101, 102, 109, 110, 103, 104, 111, 112, 105, 106, 99, 100, 107, 108, 60, 59, 68, 67, 62, 61, 70, 69, 64, 63, 58, 57, 66, 65, 87, 88, 95, 96, 89, 90, 97, 98, 91, 92, 85, 86, 93, 94, 74, 73, 82, 81, 76, 75, 84, 83, 78, 77, 72, 71, 80, 79, 157, 158, 165, 166, 159, 160, 167, 168, 161, 162, 155, 156, 163, 164, 116, 115, 124, 123, 118, 117, 126, 125, 120, 119, 114, 113, 122, 121, 143, 144, 151, 152, 145, 146, 153, 154, 147, 148, 141, 142, 149, 150, 130, 129, 138, 137, 132, 131, 140, 139, 134, 133, 128, 127, 136, 135, 45, 46, 53, 54, 47, 48, 55, 56, 49, 50, 43, 44, 51, 52, 4, 3, 12, 11, 6, 5, 14, 13, 8, 7, 2, 1, 10, 9, 31, 32, 39, 40, 33, 34, 41, 42, 35, 36, 29, 30, 37, 38, 18, 17, 26, 25, 20, 19, 28, 27, 22, 21, 16, 15, 24, 23, 269, 270, 277, 278, 271, 272, 279, 280, 273, 274, 267, 268, 275, 276, 228, 227, 236, 235, 230, 229, 238, 237, 232, 231, 226, 225, 234, 233, 255, 256, 263, 264, 257, 258, 265, 266, 259, 260, 253, 254, 261, 262, 242, 241, 250, 249, 244, 243, 252, 251, 246, 245, 240, 239, 248, 247, 325, 326, 333, 334, 327, 328, 335, 336, 329, 330, 323, 324, 331, 332, 284, 283, 292, 291, 286, 285, 294, 293, 288, 287, 282, 281, 290, 289, 311, 312, 319, 320, 313, 314, 321, 322, 315, 316, 309, 310, 317, 318, 298, 297, 306, 305, 300, 299, 308, 307, 302, 301, 296, 295, 304, 303, 213, 214, 221, 222, 215, 216, 223, 224, 217, 218, 211, 212, 219, 220, 172, 171, 180, 179, 174, 173, 182, 181, 176, 175, 170, 169, 178, 177, 199, 200, 207, 208, 201, 202, 209, 210, 203, 204, 197, 198, 205, 206, 186, 185, 194, 193, 188, 187, 196, 195, 190, 189, 184, 183, 192, 191], [285, 286, 281, 282, 291, 292, 287, 288, 283, 284, 293, 294, 289, 290, 313, 314, 309, 310, 319, 320, 315, 316, 311, 312, 321, 322, 317, 318, 327, 328, 323, 324, 333, 334, 329, 330, 325, 326, 335, 336, 331, 332, 299, 300, 295, 296, 305, 306, 301, 302, 297, 298, 307, 308, 303, 304, 173, 174, 169, 170, 179, 180, 175, 176, 171, 172, 181, 182, 177, 178, 201, 202, 197, 198, 207, 208, 203, 204, 199, 200, 209, 210, 205, 206, 215, 216, 211, 212, 221, 222, 217, 218, 213, 214, 223, 224, 219, 220, 187, 188, 183, 184, 193, 194, 189, 190, 185, 186, 195, 196, 191, 192, 229, 230, 225, 226, 235, 236, 231, 232, 227, 228, 237, 238, 233, 234, 257, 258, 253, 254, 263, 264, 259, 260, 255, 256, 265, 266, 261, 262, 271, 272, 267, 268, 277, 278, 273, 274, 269, 270, 279, 280, 275, 276, 243, 244, 239, 240, 249, 250, 245, 246, 241, 242, 251, 252, 247, 248, 118, 117, 114, 113, 124, 123, 120, 119, 116, 115, 126, 125, 122, 121, 146, 145, 142, 141, 152, 151, 148, 147, 144, 143, 154, 153, 150, 149, 160, 159, 156, 155, 166, 165, 162, 161, 158, 157, 168, 167, 164, 163, 132, 131, 128, 127, 138, 137, 134, 133, 130, 129, 140, 139, 136, 135, 6, 5, 2, 1, 12, 11, 8, 7, 4, 3, 14, 13, 10, 9, 34, 33, 30, 29, 40, 39, 36, 35, 32, 31, 42, 41, 38, 37, 48, 47, 44, 43, 54, 53, 50, 49, 46, 45, 56, 55, 52, 51, 20, 19, 16, 15, 26, 25, 22, 21, 18, 17, 28, 27, 24, 23, 62, 61, 58, 57, 68, 67, 64, 63, 60, 59, 70, 69, 66, 65, 90, 89, 86, 85, 96, 95, 92, 91, 88, 87, 98, 97, 94, 93, 104, 103, 100, 99, 110, 109, 106, 105, 102, 101, 112, 111, 108, 107, 76, 75, 72, 71, 82, 81, 78, 77, 74, 73, 84, 83, 80, 79]];
cc:=[3,4,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
gen_vect_label:=2;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);

// Here we add an action to data.
gen_vectors:=[[183, 184, 195, 196, 193, 194, 191, 192, 189, 190, 187, 188, 185, 186, 170, 169, 182, 181, 180, 179, 178, 177, 176, 175, 174, 173, 172, 171, 211, 212, 223, 224, 221, 222, 219, 220, 217, 218, 215, 216, 213, 214, 198, 197, 210, 209, 208, 207, 206, 205, 204, 203, 202, 201, 200, 199, 239, 240, 251, 252, 249, 250, 247, 248, 245, 246, 243, 244, 241, 242, 226, 225, 238, 237, 236, 235, 234, 233, 232, 231, 230, 229, 228, 227, 267, 268, 279, 280, 277, 278, 275, 276, 273, 274, 271, 272, 269, 270, 254, 253, 266, 265, 264, 263, 262, 261, 260, 259, 258, 257, 256, 255, 295, 296, 307, 308, 305, 306, 303, 304, 301, 302, 299, 300, 297, 298, 282, 281, 294, 293, 292, 291, 290, 289, 288, 287, 286, 285, 284, 283, 323, 324, 335, 336, 333, 334, 331, 332, 329, 330, 327, 328, 325, 326, 310, 309, 322, 321, 320, 319, 318, 317, 316, 315, 314, 313, 312, 311, 16, 15, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 1, 2, 13, 14, 11, 12, 9, 10, 7, 8, 5, 6, 3, 4, 44, 43, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 29, 30, 41, 42, 39, 40, 37, 38, 35, 36, 33, 34, 31, 32, 72, 71, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 57, 58, 69, 70, 67, 68, 65, 66, 63, 64, 61, 62, 59, 60, 100, 99, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 85, 86, 97, 98, 95, 96, 93, 94, 91, 92, 89, 90, 87, 88, 128, 127, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 113, 114, 125, 126, 123, 124, 121, 122, 119, 120, 117, 118, 115, 116, 156, 155, 168, 167, 166, 165, 164, 163, 162, 161, 160, 159, 158, 157, 141, 142, 153, 154, 151, 152, 149, 150, 147, 148, 145, 146, 143, 144], [109, 110, 103, 104, 111, 112, 105, 106, 99, 100, 107, 108, 101, 102, 68, 67, 62, 61, 70, 69, 64, 63, 58, 57, 66, 65, 60, 59, 95, 96, 89, 90, 97, 98, 91, 92, 85, 86, 93, 94, 87, 88, 82, 81, 76, 75, 84, 83, 78, 77, 72, 71, 80, 79, 74, 73, 165, 166, 159, 160, 167, 168, 161, 162, 155, 156, 163, 164, 157, 158, 124, 123, 118, 117, 126, 125, 120, 119, 114, 113, 122, 121, 116, 115, 151, 152, 145, 146, 153, 154, 147, 148, 141, 142, 149, 150, 143, 144, 138, 137, 132, 131, 140, 139, 134, 133, 128, 127, 136, 135, 130, 129, 53, 54, 47, 48, 55, 56, 49, 50, 43, 44, 51, 52, 45, 46, 12, 11, 6, 5, 14, 13, 8, 7, 2, 1, 10, 9, 4, 3, 39, 40, 33, 34, 41, 42, 35, 36, 29, 30, 37, 38, 31, 32, 26, 25, 20, 19, 28, 27, 22, 21, 16, 15, 24, 23, 18, 17, 277, 278, 271, 272, 279, 280, 273, 274, 267, 268, 275, 276, 269, 270, 236, 235, 230, 229, 238, 237, 232, 231, 226, 225, 234, 233, 228, 227, 263, 264, 257, 258, 265, 266, 259, 260, 253, 254, 261, 262, 255, 256, 250, 249, 244, 243, 252, 251, 246, 245, 240, 239, 248, 247, 242, 241, 333, 334, 327, 328, 335, 336, 329, 330, 323, 324, 331, 332, 325, 326, 292, 291, 286, 285, 294, 293, 288, 287, 282, 281, 290, 289, 284, 283, 319, 320, 313, 314, 321, 322, 315, 316, 309, 310, 317, 318, 311, 312, 306, 305, 300, 299, 308, 307, 302, 301, 296, 295, 304, 303, 298, 297, 221, 222, 215, 216, 223, 224, 217, 218, 211, 212, 219, 220, 213, 214, 180, 179, 174, 173, 182, 181, 176, 175, 170, 169, 178, 177, 172, 171, 207, 208, 201, 202, 209, 210, 203, 204, 197, 198, 205, 206, 199, 200, 194, 193, 188, 187, 196, 195, 190, 189, 184, 183, 192, 191, 186, 185], [287, 288, 283, 284, 293, 294, 289, 290, 285, 286, 281, 282, 291, 292, 315, 316, 311, 312, 321, 322, 317, 318, 313, 314, 309, 310, 319, 320, 329, 330, 325, 326, 335, 336, 331, 332, 327, 328, 323, 324, 333, 334, 301, 302, 297, 298, 307, 308, 303, 304, 299, 300, 295, 296, 305, 306, 175, 176, 171, 172, 181, 182, 177, 178, 173, 174, 169, 170, 179, 180, 203, 204, 199, 200, 209, 210, 205, 206, 201, 202, 197, 198, 207, 208, 217, 218, 213, 214, 223, 224, 219, 220, 215, 216, 211, 212, 221, 222, 189, 190, 185, 186, 195, 196, 191, 192, 187, 188, 183, 184, 193, 194, 231, 232, 227, 228, 237, 238, 233, 234, 229, 230, 225, 226, 235, 236, 259, 260, 255, 256, 265, 266, 261, 262, 257, 258, 253, 254, 263, 264, 273, 274, 269, 270, 279, 280, 275, 276, 271, 272, 267, 268, 277, 278, 245, 246, 241, 242, 251, 252, 247, 248, 243, 244, 239, 240, 249, 250, 120, 119, 116, 115, 126, 125, 122, 121, 118, 117, 114, 113, 124, 123, 148, 147, 144, 143, 154, 153, 150, 149, 146, 145, 142, 141, 152, 151, 162, 161, 158, 157, 168, 167, 164, 163, 160, 159, 156, 155, 166, 165, 134, 133, 130, 129, 140, 139, 136, 135, 132, 131, 128, 127, 138, 137, 8, 7, 4, 3, 14, 13, 10, 9, 6, 5, 2, 1, 12, 11, 36, 35, 32, 31, 42, 41, 38, 37, 34, 33, 30, 29, 40, 39, 50, 49, 46, 45, 56, 55, 52, 51, 48, 47, 44, 43, 54, 53, 22, 21, 18, 17, 28, 27, 24, 23, 20, 19, 16, 15, 26, 25, 64, 63, 60, 59, 70, 69, 66, 65, 62, 61, 58, 57, 68, 67, 92, 91, 88, 87, 98, 97, 94, 93, 90, 89, 86, 85, 96, 95, 106, 105, 102, 101, 112, 111, 108, 107, 104, 103, 100, 99, 110, 109, 78, 77, 74, 73, 84, 83, 80, 79, 76, 75, 72, 71, 82, 81]];
cc:=[3,4,13];
gen_vectors_as_perm:=[S!perm : perm in gen_vectors];
passport_label:=1;
gen_vect_label:=3;
is_hyperelliptic:=false;
is_cyclic_trigonal:=false;
Append(~data, rec<RecFormat | group:=G, gp_id:=gp_id, signature:=signature, gen_vectors:=gen_vectors_as_perm, conj_classes:=cc, genus:=genus, dimension:=dim, r:=r, g0:=g0, passport_label:= passport_label,gen_vect_label:=gen_vect_label, braid_class:=braid_class, topological_class:=topological_class, is_hyperelliptic:=is_hyperelliptic,is_cyclic_trigonal:=is_cyclic_trigonal >);
