Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 3035965888] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2923 geometric_solution 6.12174876 oriented_manifold CS_known 0.0000000000000002 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 0.335516942327 0.494276793991 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 0.059863694907 1.384989847525 5 3 6 0 0132 3012 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601135374732 0.375839587976 2 4 0 1 1230 1302 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847347502848 2.089280796313 5 6 1 3 2103 2103 0132 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.328006558213 1.251345459209 2 5 4 5 0132 1302 2103 2031 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808989730788 0.850086945966 6 4 6 2 2310 2103 3201 0132 0 0 0 0 0 0 1 -1 -1 0 0 1 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 1 -1 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828805544957 1.336335432109 ==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' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : negation(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_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_4'], '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' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_3'], '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' : negation(d['c_0011_2'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 26737535871283/31460517245404*c_0101_0^12 + 304076115984767/188763103472424*c_0101_0^11 + 21159186192802/23595387934053*c_0101_0^10 - 84208701530401/7260119364324*c_0101_0^9 + 317250718507082/23595387934053*c_0101_0^8 - 9192712783305631/188763103472424*c_0101_0^7 + 4798514211548331/62921034490808*c_0101_0^6 - 14893244730176627/188763103472424*c_0101_0^5 - 1165383992118097/94381551736212*c_0101_0^4 - 6198050148821041/188763103472424*c_0101_0^3 - 2050686698954390/23595387934053*c_0101_0^2 + 286458605242531/188763103472424*c_0101_0 - 5101453735026581/188763103472424, c_0011_0 - 1, c_0011_2 + 455995869650/7865129311351*c_0101_0^12 - 914239033654/7865129311351*c_0101_0^11 - 536929685389/7865129311351*c_0101_0^10 + 498964951733/605009947027*c_0101_0^9 - 7575894325256/7865129311351*c_0101_0^8 + 24844103144397/7865129311351*c_0101_0^7 - 42382626452824/7865129311351*c_0101_0^6 + 40016011264396/7865129311351*c_0101_0^5 + 9984364509429/7865129311351*c_0101_0^4 + 10488359683466/7865129311351*c_0101_0^3 + 32921092157121/7865129311351*c_0101_0^2 - 10479086769187/7865129311351*c_0101_0 + 5066031988789/7865129311351, c_0011_3 - 360071224451/15730258622702*c_0101_0^12 + 184894567645/15730258622702*c_0101_0^11 + 741504951279/7865129311351*c_0101_0^10 - 167723152921/605009947027*c_0101_0^9 - 1905974024449/15730258622702*c_0101_0^8 - 5609050937261/7865129311351*c_0101_0^7 + 2959099600363/7865129311351*c_0101_0^6 + 16259611392367/15730258622702*c_0101_0^5 - 49650317139977/15730258622702*c_0101_0^4 - 40101566763965/15730258622702*c_0101_0^3 - 33415481078139/15730258622702*c_0101_0^2 - 14826579558928/7865129311351*c_0101_0 + 17308094594655/15730258622702, c_0011_4 + 12475256407/15730258622702*c_0101_0^12 - 8506620949/15730258622702*c_0101_0^11 + 105604187701/7865129311351*c_0101_0^10 - 8824581551/605009947027*c_0101_0^9 - 333676801899/15730258622702*c_0101_0^8 + 1891703521401/7865129311351*c_0101_0^7 - 1610026955716/7865129311351*c_0101_0^6 + 13394499155305/15730258622702*c_0101_0^5 - 16304199256155/15730258622702*c_0101_0^4 + 20280352268805/15730258622702*c_0101_0^3 + 12584839243227/15730258622702*c_0101_0^2 + 4232767851982/7865129311351*c_0101_0 + 8063111577059/15730258622702, c_0011_6 + 2247294354/7865129311351*c_0101_0^12 + 80933815739/7865129311351*c_0101_0^11 - 102602197429/7865129311351*c_0101_0^10 - 13541189138/605009947027*c_0101_0^9 + 1147661425653/7865129311351*c_0101_0^8 - 480985294276/7865129311351*c_0101_0^7 + 3303596352354/7865129311351*c_0101_0^6 - 2688430595029/7865129311351*c_0101_0^5 + 2279524666734/7865129311351*c_0101_0^4 + 9030527850679/7865129311351*c_0101_0^3 + 1815165245837/7865129311351*c_0101_0^2 + 4509881273861/7865129311351*c_0101_0 + 6497141702401/7865129311351, c_0101_0^13 - 2*c_0101_0^12 - c_0101_0^11 + 14*c_0101_0^10 - 17*c_0101_0^9 + 57*c_0101_0^8 - 94*c_0101_0^7 + 95*c_0101_0^6 + 16*c_0101_0^5 + 28*c_0101_0^4 + 92*c_0101_0^3 - 19*c_0101_0^2 + 21*c_0101_0 - 3, c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB