Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3633923073] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1827 geometric_solution 5.48383004 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.689060942052 0.324777284868 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 1.096794495705 1.329199557345 4 5 1 3 0132 0132 0132 3012 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 0 0.882683953013 0.809126935648 5 4 2 1 3201 2310 1230 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 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 0.882683953013 0.809126935648 2 6 6 3 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316990825737 0.468334663927 5 2 5 3 2031 0132 1302 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587108865008 0.425166718152 4 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.723888101213 1.754364551671 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : 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' : negation(d['1']), 's_1_0' : negation(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' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 42416664985641272/18497605769019197*c_0101_6^20 - 1105415202531799417/18497605769019197*c_0101_6^18 + 6642716564107272317/18497605769019197*c_0101_6^16 - 12896658967028873147/18497605769019197*c_0101_6^14 + 9606498264313631384/18497605769019197*c_0101_6^12 - 12466048670794887072/18497605769019197*c_0101_6^10 + 49813645853835951369/18497605769019197*c_0101_6^8 - 54789486681538632402/18497605769019197*c_0101_6^6 + 10580066483542139048/18497605769019197*c_0101_6^4 - 735949770077535631/18497605769019197*c_0101_6^2 + 824299368784966098/18497605769019197, c_0011_0 - 1, c_0011_2 - 1737128591768698/18497605769019197*c_0101_6^21 + 90750573474368495/36995211538038394*c_0101_6^19 - 274671603035341620/18497605769019197*c_0101_6^17 + 542155239043487961/18497605769019197*c_0101_6^15 - 822045646265560689/36995211538038394*c_0101_6^13 + 1014117555409788741/36995211538038394*c_0101_6^11 - 2053932203909073017/18497605769019197*c_0101_6^9 + 2346977732258932246/18497605769019197*c_0101_6^7 - 925314087384477917/36995211538038394*c_0101_6^5 - 118452410253096219/36995211538038394*c_0101_6^3 - 44525435898255381/18497605769019197*c_0101_6, c_0101_0 + 2129462445161429/18497605769019197*c_0101_6^21 - 55347106806843858/18497605769019197*c_0101_6^19 + 658926461370455679/36995211538038394*c_0101_6^17 - 620242445305735144/18497605769019197*c_0101_6^15 + 414090086128032946/18497605769019197*c_0101_6^13 - 1103981563543683553/36995211538038394*c_0101_6^11 + 4874467852027158859/36995211538038394*c_0101_6^9 - 2540515529617836988/18497605769019197*c_0101_6^7 + 164816102496592523/18497605769019197*c_0101_6^5 + 291113017683877489/36995211538038394*c_0101_6^3 + 101537422016455929/36995211538038394*c_0101_6, c_0101_1 + 3826239874524409/18497605769019197*c_0101_6^21 - 198455969779202785/36995211538038394*c_0101_6^19 + 1172753480922361381/36995211538038394*c_0101_6^17 - 1083487624149467767/18497605769019197*c_0101_6^15 + 1397355860560972433/36995211538038394*c_0101_6^13 - 983075327290743025/18497605769019197*c_0101_6^11 + 8666333443975085687/36995211538038394*c_0101_6^9 - 4335992731752230255/18497605769019197*c_0101_6^7 + 366563154612045609/36995211538038394*c_0101_6^5 + 167532650320972577/18497605769019197*c_0101_6^3 + 145088232057271229/36995211538038394*c_0101_6, c_0101_3 - 1791528700374305/36995211538038394*c_0101_6^20 + 23049850327900481/18497605769019197*c_0101_6^18 - 265269639876199161/36995211538038394*c_0101_6^16 + 453996536331306133/36995211538038394*c_0101_6^14 - 236747011880218689/36995211538038394*c_0101_6^12 + 414583712123475093/36995211538038394*c_0101_6^10 - 1942641248739250293/36995211538038394*c_0101_6^8 + 1643767544252055367/36995211538038394*c_0101_6^6 + 227445608966265305/36995211538038394*c_0101_6^4 - 33847708974354391/36995211538038394*c_0101_6^2 - 31713569527798369/36995211538038394, c_0101_4 + 873756113763403/36995211538038394*c_0101_6^20 - 22281254696698225/36995211538038394*c_0101_6^18 + 62141321435104660/18497605769019197*c_0101_6^16 - 194162265203236663/36995211538038394*c_0101_6^14 + 38212419567240189/18497605769019197*c_0101_6^12 - 184759932330043067/36995211538038394*c_0101_6^10 + 452637582506949513/18497605769019197*c_0101_6^8 - 610833931567681721/36995211538038394*c_0101_6^6 - 108066363043171823/18497605769019197*c_0101_6^4 - 15080834296928209/36995211538038394*c_0101_6^2 + 7871676216094196/18497605769019197, c_0101_6^22 - 26*c_0101_6^20 + 155*c_0101_6^18 - 294*c_0101_6^16 + 205*c_0101_6^14 - 275*c_0101_6^12 + 1154*c_0101_6^10 - 1216*c_0101_6^8 + 149*c_0101_6^6 + 17*c_0101_6^4 + 22*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB