Magma V2.19-8 Tue Aug 20 2013 23:52:19 on localhost [Seed = 795427844] Type ? for help. Type -D to quit. Loading file "L13n2575__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2575 geometric_solution 10.47493503 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 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 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552016455388 0.450212393972 0 5 6 2 0132 0132 0132 3120 1 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 0 0 0 0 0 0 0 0 1 0 -1 0 0 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 0.528609691767 0.695341867206 1 0 7 6 3120 0132 0132 1230 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1.142796105610 0.719019479075 6 5 8 0 1230 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469879241608 0.580558796886 9 10 0 11 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.234199241551 0.641464304066 6 1 3 7 2103 0132 3012 3120 1 1 1 0 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 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862359218426 0.836515673928 2 3 5 1 3012 3012 2103 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.497552996304 1.042883862779 5 8 9 2 3120 3012 1230 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421518184153 1.568388264595 7 9 11 3 1230 2103 0132 0132 1 1 1 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.819023915013 0.974736958548 4 8 10 7 0132 2103 1023 3012 1 1 1 1 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 0 0 0 0 -3 1 2 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 0.936817560491 0.760454943565 11 4 9 11 1302 0132 1023 2310 1 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 0 0 0 0 0 0 0 1 0 -1 1 0 -1 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 0.451580979263 0.749158948967 10 10 4 8 3201 2031 0132 0132 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409824982226 0.979082194170 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_8']), '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_11']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_6'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0011_6'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], '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_11, c_0011_6, c_0011_7, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 342426107/5067712*c_1100_0^7 + 23115454467/146963648*c_1100_0^6 + 41168900219/146963648*c_1100_0^5 + 16200695203/146963648*c_1100_0^4 + 3563237185/146963648*c_1100_0^3 - 17215170915/146963648*c_1100_0^2 + 9130961261/146963648*c_1100_0 - 1980646139/146963648, c_0011_0 - 1, c_0011_10 + 333123/97456*c_1100_0^7 + 1059779/97456*c_1100_0^6 + 2258299/97456*c_1100_0^5 + 2218131/97456*c_1100_0^4 + 1516685/97456*c_1100_0^3 + 140349/97456*c_1100_0^2 + 228493/97456*c_1100_0 + 108709/97456, c_0011_11 - 5017/12182*c_1100_0^7 - 29721/48728*c_1100_0^6 - 3486/6091*c_1100_0^5 + 44481/48728*c_1100_0^4 + 12/6091*c_1100_0^3 - 44503/48728*c_1100_0^2 - 21947/12182*c_1100_0 + 4535/48728, c_0011_6 + 642553/97456*c_1100_0^7 + 1758503/97456*c_1100_0^6 + 3309729/97456*c_1100_0^5 + 2234835/97456*c_1100_0^4 + 835759/97456*c_1100_0^3 - 958559/97456*c_1100_0^2 + 183919/97456*c_1100_0 + 34893/97456, c_0011_7 - 191313/97456*c_1100_0^7 - 589903/97456*c_1100_0^6 - 1221657/97456*c_1100_0^5 - 1158371/97456*c_1100_0^4 - 781303/97456*c_1100_0^3 + 6663/97456*c_1100_0^2 - 53735/97456*c_1100_0 + 75299/97456, c_0101_1 - 1, c_0101_11 + 6525/6091*c_1100_0^7 + 26985/12182*c_1100_0^6 + 106229/24364*c_1100_0^5 + 7956/6091*c_1100_0^4 + 4409/12182*c_1100_0^3 - 32023/12182*c_1100_0^2 + 31753/24364*c_1100_0 + 1703/6091, c_0101_2 - 642553/97456*c_1100_0^7 - 1758503/97456*c_1100_0^6 - 3309729/97456*c_1100_0^5 - 2234835/97456*c_1100_0^4 - 835759/97456*c_1100_0^3 + 958559/97456*c_1100_0^2 - 86463/97456*c_1100_0 + 62563/97456, c_0101_5 - 30711/6091*c_1100_0^7 - 614021/48728*c_1100_0^6 - 267981/12182*c_1100_0^5 - 493751/48728*c_1100_0^4 - 6783/12182*c_1100_0^3 + 431445/48728*c_1100_0^2 - 13019/6091*c_1100_0 - 1833/48728, c_0101_7 - 191313/97456*c_1100_0^7 - 589903/97456*c_1100_0^6 - 1221657/97456*c_1100_0^5 - 1158371/97456*c_1100_0^4 - 781303/97456*c_1100_0^3 + 6663/97456*c_1100_0^2 + 43721/97456*c_1100_0 + 75299/97456, c_0101_8 + 454343/97456*c_1100_0^7 + 1428199/97456*c_1100_0^6 + 2877419/97456*c_1100_0^5 + 2629067/97456*c_1100_0^4 + 1508641/97456*c_1100_0^3 - 79415/97456*c_1100_0^2 + 215301/97456*c_1100_0 + 136557/97456, c_1100_0^8 + 88/29*c_1100_0^7 + 176/29*c_1100_0^6 + 156/29*c_1100_0^5 + 90/29*c_1100_0^4 - 8/29*c_1100_0^3 + 8/29*c_1100_0^2 + 4/29*c_1100_0 + 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB