Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 2901225536] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1956 geometric_solution 5.53888219 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 2 -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 1.487522632889 0.244730130724 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 1 -2 0 0 0 0 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121745719110 0.325552848274 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 -1 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 0 -1 0 1 0 0 -1 1 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711050206813 0.411458094723 2 5 4 6 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353755705207 0.917371117293 3 6 2 5 2310 0132 0132 1023 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 -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 0.353755705207 0.917371117293 5 3 5 4 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535500923689 0.430167380364 6 4 3 6 3012 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.082282652540 0.831325316947 ==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' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 7/4*c_0110_5^2 - 6, c_0011_0 - 1, c_0011_1 + c_0110_5^2 - 1, c_0011_4 + c_0110_5, c_0101_0 + c_0110_5, c_0101_2 - c_0110_5^3 + 2*c_0110_5, c_0101_3 + 1, c_0110_5^4 - 4*c_0110_5^2 + 2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 79/13*c_0110_5^4 + 308/13*c_0110_5^2 + 902/13, c_0011_0 - 1, c_0011_1 - 1/13*c_0110_5^4 + 9/13*c_0110_5^2 + 5/13, c_0011_4 - 2/13*c_0110_5^5 + 5/13*c_0110_5^3 + 23/13*c_0110_5, c_0101_0 + 5/13*c_0110_5^5 - 19/13*c_0110_5^3 - 51/13*c_0110_5, c_0101_2 + 3/13*c_0110_5^5 - 14/13*c_0110_5^3 - 28/13*c_0110_5, c_0101_3 - 3/13*c_0110_5^4 + 14/13*c_0110_5^2 + 2/13, c_0110_5^6 - 4*c_0110_5^4 - 11*c_0110_5^2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 50642365897/21766927635*c_0110_5^14 + 1088638508677/21766927635*c_0110_5^12 - 8971122331799/21766927635*c_0110_5^10 + 7060990523264/4353385527*c_0110_5^8 - 2775054923041/806182505*c_0110_5^6 + 69937698827327/21766927635*c_0110_5^4 - 32009631165443/21766927635*c_0110_5^2 + 268507710056/806182505, c_0011_0 - 1, c_0011_1 + 29418751/1451128509*c_0110_5^14 - 643422676/1451128509*c_0110_5^12 + 5441881445/1451128509*c_0110_5^10 - 22335284101/1451128509*c_0110_5^8 + 5585873041/161236501*c_0110_5^6 - 53600919890/1451128509*c_0110_5^4 + 27126598007/1451128509*c_0110_5^2 - 721068713/161236501, c_0011_4 - 13074446/215514135*c_0110_5^15 + 278701901/215514135*c_0110_5^13 - 2267658547/215514135*c_0110_5^11 + 1748618737/43102827*c_0110_5^9 - 2006988679/23946015*c_0110_5^7 + 15907095451/215514135*c_0110_5^5 - 7538004679/215514135*c_0110_5^3 + 191674459/23946015*c_0110_5, c_0101_0 + 547500677/21766927635*c_0110_5^15 - 12011733092/21766927635*c_0110_5^13 + 101994028789/21766927635*c_0110_5^11 - 84075003112/4353385527*c_0110_5^9 + 105085526048/2418547515*c_0110_5^7 - 995185231477/21766927635*c_0110_5^5 + 456998698423/21766927635*c_0110_5^3 - 3175296886/806182505*c_0110_5, c_0101_2 + 373962568/21766927635*c_0110_5^15 - 8225894203/21766927635*c_0110_5^13 + 70068760781/21766927635*c_0110_5^11 - 57964641764/4353385527*c_0110_5^9 + 72584752472/2418547515*c_0110_5^7 - 689238488198/21766927635*c_0110_5^5 + 314117512082/21766927635*c_0110_5^3 - 7905629417/2418547515*c_0110_5, c_0101_3 + 36884953/1451128509*c_0110_5^14 - 786394120/1451128509*c_0110_5^12 + 6392233637/1451128509*c_0110_5^10 - 24533806603/1451128509*c_0110_5^8 + 5552831506/161236501*c_0110_5^6 - 42107986292/1451128509*c_0110_5^4 + 17742134666/1451128509*c_0110_5^2 - 407930741/161236501, c_0110_5^16 - 22*c_0110_5^14 + 188*c_0110_5^12 - 787*c_0110_5^10 + 1836*c_0110_5^8 - 2147*c_0110_5^6 + 1370*c_0110_5^4 - 495*c_0110_5^2 + 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB