Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 2000087997] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1681 geometric_solution 5.40675919 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 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 -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 0.785727672898 0.855822165305 0 3 2 4 0132 0132 3201 0132 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 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 0.214335291260 0.877962703621 1 4 0 3 2310 1023 0132 1023 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 -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 0.214335291260 0.877962703621 5 1 5 2 0132 0132 2310 1023 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096385142214 0.924722315438 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 -1 0 1 -1 0 0 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 -1 0 1 -1 0 0 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 -0.262421988137 1.074935988564 3 3 6 6 0132 3201 3201 0132 0 0 0 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372872446233 0.235335439470 5 6 5 6 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.446695047666 0.418356895209 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_2' : negation(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' : negation(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' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), '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_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_5'], '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_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 5265775377387/510920078615*c_0101_5^18 - 6050284474857/510920078615*c_0101_5^16 - 47997206436503/510920078615*c_0101_5^14 - 30265458263278/510920078615*c_0101_5^12 + 36416414640487/510920078615*c_0101_5^10 + 162047944502341/510920078615*c_0101_5^8 + 118337377667238/510920078615*c_0101_5^6 + 3162457562453/102184015723*c_0101_5^4 + 31195805727762/510920078615*c_0101_5^2 + 21845669573932/510920078615, c_0011_0 - 1, c_0011_2 - 125606814561/102184015723*c_0101_5^18 + 631202293635/102184015723*c_0101_5^16 - 619662168365/102184015723*c_0101_5^14 + 342857248746/102184015723*c_0101_5^12 - 1520397563978/102184015723*c_0101_5^10 + 1027603498300/102184015723*c_0101_5^8 + 405336963027/102184015723*c_0101_5^6 - 691412614117/102184015723*c_0101_5^4 + 499031413601/102184015723*c_0101_5^2 + 18743600391/102184015723, c_0011_6 - 533092374/450149849*c_0101_5^18 + 2820612363/450149849*c_0101_5^16 - 3258076326/450149849*c_0101_5^14 + 1841515211/450149849*c_0101_5^12 - 6914249547/450149849*c_0101_5^10 + 6175359380/450149849*c_0101_5^8 + 1412826801/450149849*c_0101_5^6 - 3511633892/450149849*c_0101_5^4 + 2457320952/450149849*c_0101_5^2 - 322381754/450149849, c_0101_0 + 162660238038/102184015723*c_0101_5^19 - 748757229973/102184015723*c_0101_5^17 + 449665065204/102184015723*c_0101_5^15 - 82057419986/102184015723*c_0101_5^13 + 1818474768918/102184015723*c_0101_5^11 - 525755153014/102184015723*c_0101_5^9 - 1225020684942/102184015723*c_0101_5^7 + 654419177665/102184015723*c_0101_5^5 - 86809133715/102184015723*c_0101_5^3 - 240711454004/102184015723*c_0101_5, c_0101_1 - 1784055816/450149849*c_0101_5^19 + 7842284594/450149849*c_0101_5^17 - 3258876291/450149849*c_0101_5^15 + 46015847/450149849*c_0101_5^13 - 19837866894/450149849*c_0101_5^11 + 1236325904/450149849*c_0101_5^9 + 13989945846/450149849*c_0101_5^7 - 3814185529/450149849*c_0101_5^5 + 2044098502/450149849*c_0101_5^3 + 2565424938/450149849*c_0101_5, c_0101_3 - 1117379970/450149849*c_0101_5^19 + 4941314432/450149849*c_0101_5^17 - 2140790104/450149849*c_0101_5^15 - 11757061/450149849*c_0101_5^13 - 12629914947/450149849*c_0101_5^11 + 1486960841/450149849*c_0101_5^9 + 9171434388/450149849*c_0101_5^7 - 2111985828/450149849*c_0101_5^5 + 178008374/450149849*c_0101_5^3 + 1424889190/450149849*c_0101_5, c_0101_5^20 - 38/9*c_0101_5^18 + 8/9*c_0101_5^16 + 10/9*c_0101_5^14 + 95/9*c_0101_5^12 + 13/9*c_0101_5^10 - 91/9*c_0101_5^8 + 14/9*c_0101_5^6 + 4/9*c_0101_5^4 - 20/9*c_0101_5^2 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB