Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2244221372] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0228 geometric_solution 4.17730273 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.539199636692 0.920966985165 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.599276706620 0.105321930162 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -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 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 0.278703116562 0.906735801414 5 2 4 4 0132 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0 0 0 0 0 0 0.310169666709 0.310876157183 3 3 5 2 2031 1302 2310 0132 0 0 0 0 0 1 0 -1 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 -1 0 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 0.310169666709 0.310876157183 3 4 6 6 0132 3201 2310 0132 0 0 0 0 0 -1 1 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 1 -1 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 -0.519941402935 2.069112424706 6 5 5 6 3201 3201 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 -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 -0.421006576601 0.539888946721 ==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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : 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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 106436116792/149917743013*c_0101_5^10 - 101090892616/149917743013*c_0101_5^9 - 410827731014/149917743013*c_0101_5^8 - 97252917594/149917743013*c_0101_5^7 + 656714911493/149917743013*c_0101_5^6 + 963622292246/149917743013*c_0101_5^5 + 4147827420887/149917743013*c_0101_5^4 - 238284973831/149917743013*c_0101_5^3 + 1544319844917/149917743013*c_0101_5^2 - 5868625528573/149917743013*c_0101_5 - 5527474520428/149917743013, c_0011_0 - 1, c_0011_2 + 472853242/7890407527*c_0101_5^10 + 697742082/7890407527*c_0101_5^9 + 2186774091/7890407527*c_0101_5^8 + 1945824854/7890407527*c_0101_5^7 - 597457027/7890407527*c_0101_5^6 - 2485817665/7890407527*c_0101_5^5 - 16604258347/7890407527*c_0101_5^4 - 10630022387/7890407527*c_0101_5^3 - 17912994558/7890407527*c_0101_5^2 + 1100624073/7890407527*c_0101_5 + 1859675156/7890407527, c_0011_4 - 250002618/7890407527*c_0101_5^10 - 263470100/7890407527*c_0101_5^9 - 1184297625/7890407527*c_0101_5^8 - 1259457249/7890407527*c_0101_5^7 - 854608001/7890407527*c_0101_5^6 - 211846520/7890407527*c_0101_5^5 + 7541690662/7890407527*c_0101_5^4 + 4843620932/7890407527*c_0101_5^3 + 16461769483/7890407527*c_0101_5^2 + 4019973526/7890407527*c_0101_5 + 5082590026/7890407527, c_0011_6 + 393894354/7890407527*c_0101_5^10 + 668834606/7890407527*c_0101_5^9 + 2351616383/7890407527*c_0101_5^8 + 2080178730/7890407527*c_0101_5^7 + 685295287/7890407527*c_0101_5^6 - 1700193254/7890407527*c_0101_5^5 - 15736126584/7890407527*c_0101_5^4 - 8188405824/7890407527*c_0101_5^3 - 23021494432/7890407527*c_0101_5^2 - 828214673/7890407527*c_0101_5 - 2879982042/7890407527, c_0101_0 - 347260748/7890407527*c_0101_5^10 - 361197920/7890407527*c_0101_5^9 - 1696747010/7890407527*c_0101_5^8 - 1602678188/7890407527*c_0101_5^7 + 207345306/7890407527*c_0101_5^6 + 757979441/7890407527*c_0101_5^5 + 13441205262/7890407527*c_0101_5^4 + 5355231022/7890407527*c_0101_5^3 + 18015626117/7890407527*c_0101_5^2 - 896921500/7890407527*c_0101_5 - 4272649456/7890407527, c_0101_1 - 359851308/7890407527*c_0101_5^10 - 917486586/7890407527*c_0101_5^9 - 2463071120/7890407527*c_0101_5^8 - 2993706105/7890407527*c_0101_5^7 - 1683312768/7890407527*c_0101_5^6 + 2849087261/7890407527*c_0101_5^5 + 16318280617/7890407527*c_0101_5^4 + 16490805513/7890407527*c_0101_5^3 + 25332930212/7890407527*c_0101_5^2 + 2682637461/7890407527*c_0101_5 + 1182657985/7890407527, c_0101_5^11 + 2*c_0101_5^10 + 13/2*c_0101_5^9 + 17/2*c_0101_5^8 + 11/2*c_0101_5^7 - c_0101_5^6 - 81/2*c_0101_5^5 - 87/2*c_0101_5^4 - 82*c_0101_5^3 - 41*c_0101_5^2 - 33/2*c_0101_5 - 19/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB