Magma V2.19-8 Tue Aug 20 2013 16:16:19 on localhost [Seed = 3246415138] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0589 geometric_solution 4.60599367 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 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 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 0.694796852835 0.205249127538 0 3 0 3 0132 0132 1023 1023 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 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 0.747675008071 0.117575293488 4 0 5 0 0132 0132 0132 1023 0 0 0 0 0 1 -1 0 1 0 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 -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 0.772456819355 0.897455423454 4 1 4 1 3012 0132 0321 1023 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 0 0 0 0 0.694796852835 0.205249127538 2 5 3 3 0132 2103 0321 1230 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 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 0.265448685964 1.046958920902 6 4 6 2 0132 2103 2310 0132 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 0 0 0 0 0 0 0 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 0.163320183778 2.633251844453 5 5 6 6 0132 3201 1230 3012 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176941112118 0.187663509642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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' : d['c_0101_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0110_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : negation(d['c_0101_3'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 18266943731/62976*c_0110_3^17 - 62414282841/20992*c_0110_3^16 - 887123128607/62976*c_0110_3^15 - 1416952169743/31488*c_0110_3^14 - 2178278618085/20992*c_0110_3^13 - 880216314965/5248*c_0110_3^12 - 447524076869/2624*c_0110_3^11 - 74479826869/2624*c_0110_3^10 + 6165442750787/31488*c_0110_3^9 + 3207810743065/10496*c_0110_3^8 + 46680641823/20992*c_0110_3^7 - 7630704703291/31488*c_0110_3^6 - 3500835557453/10496*c_0110_3^5 + 13545093936921/20992*c_0110_3^4 - 24923354933015/62976*c_0110_3^3 + 2513987493299/20992*c_0110_3^2 - 383888752219/20992*c_0110_3 + 71177049229/62976, c_0011_0 - 1, c_0011_5 - 4782969/64*c_0110_3^17 - 49424013/64*c_0110_3^16 - 236491245/64*c_0110_3^15 - 381397491/32*c_0110_3^14 - 1780032105/64*c_0110_3^13 - 733053969/16*c_0110_3^12 - 387630441/8*c_0110_3^11 - 100512333/8*c_0110_3^10 + 1535239737/32*c_0110_3^9 + 2625818877/32*c_0110_3^8 + 530888823/64*c_0110_3^7 - 1908408087/32*c_0110_3^6 - 2884131459/32*c_0110_3^5 + 10087280853/64*c_0110_3^4 - 5840005405/64*c_0110_3^3 + 1678822055/64*c_0110_3^2 - 243931419/64*c_0110_3 + 14348907/64, c_0101_0 + 4324903/64*c_0110_3^17 + 44320707/64*c_0110_3^16 + 209908035/64*c_0110_3^15 + 335131805/32*c_0110_3^14 + 1544683655/64*c_0110_3^13 + 623536971/16*c_0110_3^12 + 316226641/8*c_0110_3^11 + 50556977/8*c_0110_3^10 - 1468038079/32*c_0110_3^9 - 2279802971/32*c_0110_3^8 - 17076793/64*c_0110_3^7 + 1815950569/32*c_0110_3^6 + 2487676437/32*c_0110_3^5 - 9639622539/64*c_0110_3^4 + 5904655715/64*c_0110_3^3 - 1782065481/64*c_0110_3^2 + 271104309/64*c_0110_3 - 16675765/64, c_0101_1 + c_0110_3, c_0101_3 - 6175431/64*c_0110_3^17 - 63380923/64*c_0110_3^16 - 300748931/64*c_0110_3^15 - 481069705/32*c_0110_3^14 - 2222574495/64*c_0110_3^13 - 900623107/16*c_0110_3^12 - 460523401/8*c_0110_3^11 - 82807537/8*c_0110_3^10 + 2074787999/32*c_0110_3^9 + 3279461619/32*c_0110_3^8 + 145104537/64*c_0110_3^7 - 2568821461/32*c_0110_3^6 - 3582941841/32*c_0110_3^5 + 13628935251/64*c_0110_3^4 - 8269946803/64*c_0110_3^3 + 2476754337/64*c_0110_3^2 - 374179365/64*c_0110_3 + 22867613/64, c_0101_5 - 530217/8*c_0110_3^17 - 10899329/16*c_0110_3^16 - 25904285/8*c_0110_3^15 - 166018399/16*c_0110_3^14 - 384284013/16*c_0110_3^13 - 78107499/2*c_0110_3^12 - 160803971/4*c_0110_3^11 - 31376055/4*c_0110_3^10 + 88533603/2*c_0110_3^9 + 567998975/8*c_0110_3^8 + 21981985/8*c_0110_3^7 - 877439703/16*c_0110_3^6 - 1242647239/16*c_0110_3^5 + 2319161495/16*c_0110_3^4 - 86901187*c_0110_3^3 + 411526425/16*c_0110_3^2 - 15349801/4*c_0110_3 + 3701959/16, c_0110_3^18 + 10*c_0110_3^17 + 46*c_0110_3^16 + 143*c_0110_3^15 + 319*c_0110_3^14 + 489*c_0110_3^13 + 444*c_0110_3^12 - 48*c_0110_3^11 - 698*c_0110_3^10 - 884*c_0110_3^9 + 255*c_0110_3^8 + 835*c_0110_3^7 + 940*c_0110_3^6 - 2511*c_0110_3^5 + 1924*c_0110_3^4 - 758*c_0110_3^3 + 168*c_0110_3^2 - 20*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB