Magma V2.19-8 Tue Aug 20 2013 16:19:02 on localhost [Seed = 896837726] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3178 geometric_solution 6.32484632 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 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 0.800654019934 0.735302242365 0 3 0 4 0132 1302 2310 0132 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 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322465082639 0.622232489456 4 5 6 0 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 -1 1 0 -1 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 0.606005698824 0.371533616352 5 5 0 1 2310 1023 0132 2031 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 -1 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 0 0 0.842339731676 0.589964323585 2 6 1 5 0132 2103 0132 2103 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 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.343458237713 1.266870855711 3 2 3 4 1023 0132 3201 2103 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 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 0.796482082830 0.572411327768 6 4 6 2 2031 2103 1302 0132 0 0 0 0 0 0 1 -1 -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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821555592819 0.938568431260 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_5']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_1001_2']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2508718828594261/27137117225873600*c_1001_2^10 + 2820747670591/4485473921632*c_1001_2^9 + 21223120776040383/27137117225873600*c_1001_2^8 - 5148211501423937/5427423445174720*c_1001_2^7 + 36158723690517763/27137117225873600*c_1001_2^6 + 22850426104945191/2467010656897600*c_1001_2^5 + 10903927420332321/2467010656897600*c_1001_2^4 + 68587949462893581/13568558612936800*c_1001_2^3 - 19629856557722777/3392139653234200*c_1001_2^2 + 61908688313910803/3392139653234200*c_1001_2 - 138286648720390483/27137117225873600, c_0011_0 - 1, c_0011_2 + 183604759369/16960698266171*c_1001_2^10 + 9401884684/140171060051*c_1001_2^9 + 716591413235/16960698266171*c_1001_2^8 - 3394743076083/16960698266171*c_1001_2^7 + 2971581891659/16960698266171*c_1001_2^6 + 1588169332174/1541881660561*c_1001_2^5 - 409653985755/1541881660561*c_1001_2^4 - 6154910567545/16960698266171*c_1001_2^3 - 23916108867326/16960698266171*c_1001_2^2 + 41109103726643/16960698266171*c_1001_2 - 27158062408869/16960698266171, c_0011_6 + 296145437030/16960698266171*c_1001_2^10 + 15322104807/140171060051*c_1001_2^9 + 1338049484803/16960698266171*c_1001_2^8 - 4899997835497/16960698266171*c_1001_2^7 + 5357838534637/16960698266171*c_1001_2^6 + 2595851194921/1541881660561*c_1001_2^5 - 113686302621/1541881660561*c_1001_2^4 + 4952649860839/16960698266171*c_1001_2^3 - 31505346469826/16960698266171*c_1001_2^2 + 55807391850942/16960698266171*c_1001_2 - 31930116612235/16960698266171, c_0101_0 + 518994877811/33921396532342*c_1001_2^10 + 13244701425/140171060051*c_1001_2^9 + 2100482214741/33921396532342*c_1001_2^8 - 8335137985807/33921396532342*c_1001_2^7 + 12233331768257/33921396532342*c_1001_2^6 + 4683949336567/3083763321122*c_1001_2^5 - 1125341238759/3083763321122*c_1001_2^4 + 1218866565779/16960698266171*c_1001_2^3 - 15791666170719/16960698266171*c_1001_2^2 + 68991346428909/16960698266171*c_1001_2 - 76837371538681/33921396532342, c_0101_1 - 1, c_0101_5 + 406509582572/16960698266171*c_1001_2^10 + 21256060126/140171060051*c_1001_2^9 + 1990440966034/16960698266171*c_1001_2^8 - 6741583173995/16960698266171*c_1001_2^7 + 6516790609427/16960698266171*c_1001_2^6 + 3546548260166/1541881660561*c_1001_2^5 - 88059944993/1541881660561*c_1001_2^4 + 1953982404673/16960698266171*c_1001_2^3 - 41620055521026/16960698266171*c_1001_2^2 + 91344530525401/16960698266171*c_1001_2 - 44131154212804/16960698266171, c_1001_2^11 + 6*c_1001_2^10 + 3*c_1001_2^9 - 17*c_1001_2^8 + 23*c_1001_2^7 + 89*c_1001_2^6 - 33*c_1001_2^5 + 18*c_1001_2^4 - 104*c_1001_2^3 + 248*c_1001_2^2 - 199*c_1001_2 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB