Magma V2.19-8 Tue Aug 20 2013 23:53:28 on localhost [Seed = 1410482092] Type ? for help. Type -D to quit. Loading file "L13n6011__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6011 geometric_solution 11.10824698 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 3 -3 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815313655997 1.273765195893 0 5 7 6 0132 0132 0132 0132 0 1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535741402191 0.253092121234 8 0 7 9 0132 0132 1023 0132 1 0 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 2 -2 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624561608674 0.636130693482 6 8 10 0 0132 2310 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216646087583 0.521779137672 5 11 0 9 0132 0132 0132 0213 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 3 0 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191000885225 0.762847041904 4 1 8 10 0132 0132 1023 3120 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 -4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667145276606 1.106112447229 3 9 1 11 0132 1023 0132 3012 0 1 1 0 0 1 0 -1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 1 0 0 -1 4 -1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667145276606 1.106112447229 11 10 2 1 3012 3120 1023 0132 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815313655997 1.273765195893 2 11 5 3 0132 1023 1023 3201 1 0 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 3 -4 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812282017715 1.103549035002 6 10 2 4 1023 0213 0132 0213 1 0 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 -1 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812282017715 1.103549035002 5 7 9 3 3120 3120 0213 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321260787648 1.634702776659 8 4 6 7 1023 0132 1230 1230 1 1 1 0 0 0 0 0 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 3 -3 4 -4 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654310242863 0.616982916471 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_1010_9'], 'c_1100_3' : d['c_1010_9'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : d['c_1010_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_11, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 37/180*c_1010_9 - 7/24, c_0011_0 - 1, c_0011_10 + 1/3*c_1010_9 - 4/3, c_0011_3 - 2/3*c_1010_9 + 2/3, c_0011_7 + c_1010_9 - 1, c_0101_0 + 2/3*c_1010_9 + 1/3, c_0101_1 - 1, c_0101_11 + 2/3*c_1010_9 - 2/3, c_0101_2 - 1/3*c_1010_9 + 1/3, c_0101_7 + 1, c_0101_8 - 2/9*c_1010_9 - 4/9, c_1001_11 + 1/3*c_1010_9 + 2/3, c_1010_9^2 - c_1010_9 + 3 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_11, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 14476706623/2551993344*c_1010_9^7 + 73135084309/4253322240*c_1010_9^6 - 63900811/212666112*c_1010_9^5 + 7855239523/2551993344*c_1010_9^4 - 94385246699/3189991680*c_1010_9^3 + 296927292209/12759966720*c_1010_9^2 - 48334775987/2551993344*c_1010_9 - 135369677671/12759966720, c_0011_0 - 1, c_0011_10 + 272075/369212*c_1010_9^7 + 615165/369212*c_1010_9^6 - 157569/92303*c_1010_9^5 + 121887/369212*c_1010_9^4 - 959659/184606*c_1010_9^3 + 1982895/369212*c_1010_9^2 - 2036135/369212*c_1010_9 + 227467/369212, c_0011_3 - 173145/184606*c_1010_9^7 - 235973/92303*c_1010_9^6 + 43035/92303*c_1010_9^5 - 437711/184606*c_1010_9^4 + 574521/184606*c_1010_9^3 - 660379/92303*c_1010_9^2 + 955683/184606*c_1010_9 - 76788/92303, c_0011_7 - c_1010_9, c_0101_0 + 272075/369212*c_1010_9^7 + 615165/369212*c_1010_9^6 - 157569/92303*c_1010_9^5 + 121887/369212*c_1010_9^4 - 959659/184606*c_1010_9^3 + 1982895/369212*c_1010_9^2 - 2036135/369212*c_1010_9 + 227467/369212, c_0101_1 - 1, c_0101_11 + 321155/184606*c_1010_9^7 + 894559/184606*c_1010_9^6 - 103964/92303*c_1010_9^5 + 327829/184606*c_1010_9^4 - 879870/92303*c_1010_9^3 + 1610955/184606*c_1010_9^2 - 1734441/184606*c_1010_9 - 177153/184606, c_0101_2 - 172365/369212*c_1010_9^7 - 431397/369212*c_1010_9^6 + 94736/92303*c_1010_9^5 + 270811/369212*c_1010_9^4 + 321310/92303*c_1010_9^3 - 732003/369212*c_1010_9^2 + 781965/369212*c_1010_9 + 123673/369212, c_0101_7 - 137295/369212*c_1010_9^7 - 436561/369212*c_1010_9^6 - 40884/92303*c_1010_9^5 - 399107/369212*c_1010_9^4 + 380127/184606*c_1010_9^3 - 492475/369212*c_1010_9^2 + 802891/369212*c_1010_9 - 74047/369212, c_0101_8 + 192165/92303*c_1010_9^7 + 1181879/184606*c_1010_9^6 + 76023/92303*c_1010_9^5 + 347583/92303*c_1010_9^4 - 1499061/184606*c_1010_9^3 + 2080393/184606*c_1010_9^2 - 711484/92303*c_1010_9 - 308187/184606, c_1001_11 - 1, c_1010_9^8 + 14/5*c_1010_9^7 - 3/5*c_1010_9^6 + c_1010_9^5 - 27/5*c_1010_9^4 + 27/5*c_1010_9^3 - 26/5*c_1010_9^2 - 2/5*c_1010_9 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB