Magma V2.19-8 Tue Aug 20 2013 16:16:03 on localhost [Seed = 155751887] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0298 geometric_solution 4.34049697 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 0 1 0 -1 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716836524815 0.049400387309 0 2 0 2 0132 0132 1023 1023 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 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469857405187 0.170013284083 3 1 3 1 0132 0132 2310 1023 0 0 0 0 0 0 0 0 1 0 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 -1 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 -0.794524370392 3.928558017452 2 2 5 4 0132 3201 0132 0132 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 -0.160911409741 0.455303576888 6 5 3 5 0132 3012 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879986067767 0.833852427596 4 6 4 3 1230 2310 2031 0132 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 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 0.879986067767 0.833852427596 4 6 6 5 0132 1230 3012 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 1.401241859365 0.567367992971 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : 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' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), '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_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 497981932/550173*c_0101_6^10 - 1644100040/550173*c_0101_6^9 - 12447715318/550173*c_0101_6^8 - 2204136070/42321*c_0101_6^7 + 15252740050/550173*c_0101_6^6 + 69810068908/550173*c_0101_6^5 + 4124116177/550173*c_0101_6^4 - 42532956527/550173*c_0101_6^3 - 618690382/183391*c_0101_6^2 + 9388436807/550173*c_0101_6 - 1655369618/550173, c_0011_0 - 1, c_0011_4 + 338287/550173*c_0101_2*c_0101_6^10 + 1251332/550173*c_0101_2*c_0101_6^9 + 8923306/550173*c_0101_2*c_0101_6^8 + 1767319/42321*c_0101_2*c_0101_6^7 - 1860166/550173*c_0101_2*c_0101_6^6 - 48481495/550173*c_0101_2*c_0101_6^5 - 19507789/550173*c_0101_2*c_0101_6^4 + 21514865/550173*c_0101_2*c_0101_6^3 + 2244389/183391*c_0101_2*c_0101_6^2 - 3292622/550173*c_0101_2*c_0101_6 + 739688/550173*c_0101_2, c_0101_0 - 658447/550173*c_0101_2*c_0101_6^10 - 1565513/550173*c_0101_2*c_0101_6^9 - 14248579/550173*c_0101_2*c_0101_6^8 - 1689076/42321*c_0101_2*c_0101_6^7 + 60403264/550173*c_0101_2*c_0101_6^6 + 86734306/550173*c_0101_2*c_0101_6^5 - 82609988/550173*c_0101_2*c_0101_6^4 - 90135593/550173*c_0101_2*c_0101_6^3 + 13427257/183391*c_0101_2*c_0101_6^2 + 28339781/550173*c_0101_2*c_0101_6 - 8510291/550173*c_0101_2, c_0101_1 + 5832457/183391*c_0101_2*c_0101_6^10 + 19447807/183391*c_0101_2*c_0101_6^9 + 146492100/183391*c_0101_2*c_0101_6^8 + 26203786/14107*c_0101_2*c_0101_6^7 - 165777818/183391*c_0101_2*c_0101_6^6 - 818776353/183391*c_0101_2*c_0101_6^5 - 75350991/183391*c_0101_2*c_0101_6^4 + 486632579/183391*c_0101_2*c_0101_6^3 + 33503645/183391*c_0101_2*c_0101_6^2 - 104752015/183391*c_0101_2*c_0101_6 + 17727522/183391*c_0101_2, c_0101_2^2 - 769555/42321*c_0101_6^10 - 2504090/42321*c_0101_6^9 - 19096963/42321*c_0101_6^8 - 43312528/42321*c_0101_6^7 + 26125432/42321*c_0101_6^6 + 107642770/42321*c_0101_6^5 + 657829/42321*c_0101_6^4 - 67926125/42321*c_0101_6^3 + 10019/14107*c_0101_6^2 + 15522551/42321*c_0101_6 - 3103034/42321, c_0101_5 + 10882/42321*c_0101_6^10 + 32225/42321*c_0101_6^9 + 269749/42321*c_0101_6^8 + 553300/42321*c_0101_6^7 - 318004/42321*c_0101_6^6 - 1131934/42321*c_0101_6^5 - 124648/42321*c_0101_6^4 + 423077/42321*c_0101_6^3 + 12780/14107*c_0101_6^2 - 39611/42321*c_0101_6 + 7832/42321, c_0101_6^11 + 3*c_0101_6^10 + 24*c_0101_6^9 + 50*c_0101_6^8 - 48*c_0101_6^7 - 131*c_0101_6^6 + 34*c_0101_6^5 + 88*c_0101_6^4 - 22*c_0101_6^3 - 20*c_0101_6^2 + 9*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB