Magma V2.19-8 Tue Aug 20 2013 16:14:05 on localhost [Seed = 543276060] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s030 geometric_solution 3.56808795 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 1 -1 0 0 1 -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 0.022249958480 0.509110159124 0 3 2 2 0132 0132 1230 3012 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 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 1.914320491984 1.960466937491 3 0 1 1 3201 0132 1230 3012 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 1 -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 1.914320491984 1.960466937491 4 1 4 2 0132 0132 2310 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 0.195509189213 0.921195989013 3 3 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266883041116 0.125030949669 5 4 4 5 3201 3201 0132 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 -1.798006233328 0.400294880748 ==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' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 9078230853/11593232563*c_0101_3^12 + 1594352533932/81152627941*c_0101_3^11 - 2508199850493/81152627941*c_0101_3^10 - 5558209408155/81152627941*c_0101_3^9 + 1938695456441/23186465126*c_0101_3^8 + 29214526578961/162305255882*c_0101_3^7 - 18400181068053/162305255882*c_0101_3^6 - 39518206412411/162305255882*c_0101_3^5 + 8595380004889/162305255882*c_0101_3^4 + 13976267026858/81152627941*c_0101_3^3 - 763139307873/81152627941*c_0101_3^2 - 2434037078801/81152627941*c_0101_3 - 163732056490/81152627941, c_0011_0 - 1, c_0011_5 - 2928996525/23186465126*c_0101_3^12 + 853279836/11593232563*c_0101_3^11 - 2221793000/11593232563*c_0101_3^10 + 30371271593/23186465126*c_0101_3^9 + 16170197234/11593232563*c_0101_3^8 - 41599024627/11593232563*c_0101_3^7 - 65699739821/11593232563*c_0101_3^6 + 50771595619/11593232563*c_0101_3^5 + 171950054527/23186465126*c_0101_3^4 - 12950201471/11593232563*c_0101_3^3 - 88197724205/23186465126*c_0101_3^2 + 1054909010/11593232563*c_0101_3 - 3230939207/11593232563, c_0101_0 + 175608160476/11593232563*c_0101_3^12 - 498808604835/23186465126*c_0101_3^11 - 745097388520/11593232563*c_0101_3^10 + 612669207988/11593232563*c_0101_3^9 + 3933355779151/23186465126*c_0101_3^8 - 534632385306/11593232563*c_0101_3^7 - 2625972555937/11593232563*c_0101_3^6 - 168444474147/11593232563*c_0101_3^5 + 1763846062633/11593232563*c_0101_3^4 + 597380934225/23186465126*c_0101_3^3 - 388439879617/11593232563*c_0101_3^2 - 89310851213/23186465126*c_0101_3 + 32394264414/11593232563, c_0101_1 - 812213263575/23186465126*c_0101_3^12 + 1362329552583/23186465126*c_0101_3^11 + 1532956851585/11593232563*c_0101_3^10 - 1764653665158/11593232563*c_0101_3^9 - 4063215220560/11593232563*c_0101_3^8 + 4266619776763/23186465126*c_0101_3^7 + 5426435992992/11593232563*c_0101_3^6 - 742744015708/11593232563*c_0101_3^5 - 7451189783053/23186465126*c_0101_3^4 + 129871158625/23186465126*c_0101_3^3 + 1476401361063/23186465126*c_0101_3^2 + 2072975770/11593232563*c_0101_3 - 115174037489/23186465126, c_0101_2 + 19383404229/23186465126*c_0101_3^12 - 41437283835/23186465126*c_0101_3^11 - 27670847337/11593232563*c_0101_3^10 + 49374739867/11593232563*c_0101_3^9 + 89291329125/11593232563*c_0101_3^8 - 137565800663/23186465126*c_0101_3^7 - 137958392896/11593232563*c_0101_3^6 + 12390074088/11593232563*c_0101_3^5 + 242195362641/23186465126*c_0101_3^4 + 77144492555/23186465126*c_0101_3^3 - 57915578123/23186465126*c_0101_3^2 - 32825759929/11593232563*c_0101_3 + 4969726191/23186465126, c_0101_3^13 - 10/7*c_0101_3^12 - 89/21*c_0101_3^11 + 73/21*c_0101_3^10 + 79/7*c_0101_3^9 - 62/21*c_0101_3^8 - 319/21*c_0101_3^7 - 4/3*c_0101_3^6 + 31/3*c_0101_3^5 + 46/21*c_0101_3^4 - 16/7*c_0101_3^3 - 4/7*c_0101_3^2 + 4/21*c_0101_3 + 1/21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB