Magma V2.19-8 Tue Aug 20 2013 23:52:50 on localhost [Seed = 1982864824] Type ? for help. Type -D to quit. Loading file "L13n4347__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4347 geometric_solution 10.24031132 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 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 -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 0 0 0.509049643360 0.539963108299 0 3 5 4 0132 2103 0132 0132 0 1 1 0 0 1 -1 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 1 -1 0 0 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432797700887 0.714929025838 3 0 6 0 3012 0132 0132 1302 1 1 1 0 0 0 0 0 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 1 -1 0 12 0 -12 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921812527727 1.013839283358 6 1 0 2 1023 2103 0132 1230 1 1 0 0 0 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 0 0 0 13 -1 -12 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 -0.178131756204 1.869139505002 7 8 1 9 0132 0132 0132 0132 0 1 1 1 0 0 0 0 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 -12 0 0 12 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312818600436 1.329176396703 7 10 9 1 2103 0132 0132 0132 0 1 0 1 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 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171051460634 0.560501884938 11 3 7 2 0132 1023 1230 0132 1 1 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 0 -1 1 0 0 -12 12 2 0 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380334265449 1.023612230473 4 8 5 6 0132 0213 2103 3012 0 1 1 1 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 0 0 0 0 0 -1 1 0 -12 0 12 12 1 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832229748866 0.712861247909 9 4 7 11 0321 0132 0213 3012 0 1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 -12 0 12 0 13 -13 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365721869930 0.288118916789 8 10 4 5 0321 3012 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 -1 0 0 1 -13 0 0 13 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.312913415650 0.715709026915 9 5 11 11 1230 0132 3012 2103 0 1 1 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 1 -2 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 1.323943116260 0.856753384378 6 10 8 10 0132 1230 1230 2103 1 1 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 1 0 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442709515151 0.629373994648 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_6'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_11']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_11']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0011_9'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0110_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2516190207287/330244744973*c_1100_1^12 + 766172304745/101613767684*c_1100_1^11 - 5056530160797/50806883842*c_1100_1^10 + 176614386762491/660489489946*c_1100_1^9 - 652540422765631/1320978979892*c_1100_1^8 + 142729063290531/120088998172*c_1100_1^7 - 687843149944663/660489489946*c_1100_1^6 + 350979524162125/330244744973*c_1100_1^5 - 1040375581144659/1320978979892*c_1100_1^4 + 1222137642187331/1320978979892*c_1100_1^3 - 278544629468205/660489489946*c_1100_1^2 + 87881481663733/660489489946*c_1100_1 + 84865119972855/1320978979892, c_0011_0 - 1, c_0011_10 - 749408437/1954110917*c_1100_1^12 + 456310457/1954110917*c_1100_1^11 - 9567270352/1954110917*c_1100_1^10 + 22624144793/1954110917*c_1100_1^9 - 39166754062/1954110917*c_1100_1^8 + 9123344845/177646447*c_1100_1^7 - 59275747568/1954110917*c_1100_1^6 + 69703649836/1954110917*c_1100_1^5 - 38271426126/1954110917*c_1100_1^4 + 51598630159/1954110917*c_1100_1^3 - 13344687266/1954110917*c_1100_1^2 + 7767547416/1954110917*c_1100_1 + 2055907764/1954110917, c_0011_11 + 99935392/1954110917*c_1100_1^12 - 290760064/1954110917*c_1100_1^11 + 1571021066/1954110917*c_1100_1^10 - 5946897964/1954110917*c_1100_1^9 + 14069289115/1954110917*c_1100_1^8 - 2619437208/177646447*c_1100_1^7 + 43604146837/1954110917*c_1100_1^6 - 42766108046/1954110917*c_1100_1^5 + 24942041482/1954110917*c_1100_1^4 - 24070198026/1954110917*c_1100_1^3 + 17160940050/1954110917*c_1100_1^2 - 8525748791/1954110917*c_1100_1 - 2090599083/1954110917, c_0011_4 - 1928016879/7816443668*c_1100_1^12 + 764399547/3908221834*c_1100_1^11 - 24802993019/7816443668*c_1100_1^10 + 31275404527/3908221834*c_1100_1^9 - 27754407361/1954110917*c_1100_1^8 + 6225520883/177646447*c_1100_1^7 - 193274921547/7816443668*c_1100_1^6 + 49098920254/1954110917*c_1100_1^5 - 54646730451/3908221834*c_1100_1^4 + 33731819855/1954110917*c_1100_1^3 - 56707196203/7816443668*c_1100_1^2 + 2599523196/1954110917*c_1100_1 + 7780087775/7816443668, c_0011_9 - 732844237/3908221834*c_1100_1^12 - 283385345/3908221834*c_1100_1^11 - 8845684343/3908221834*c_1100_1^10 + 6537560449/1954110917*c_1100_1^9 - 15449041617/3908221834*c_1100_1^8 + 5625820019/355292894*c_1100_1^7 + 36180605129/3908221834*c_1100_1^6 + 6645580479/1954110917*c_1100_1^5 + 2505618605/3908221834*c_1100_1^4 + 9987459531/3908221834*c_1100_1^3 + 18823688885/3908221834*c_1100_1^2 - 3838513332/1954110917*c_1100_1 - 2364841386/1954110917, c_0101_0 - 1, c_0101_1 + 461515117/1954110917*c_1100_1^12 - 638772682/1954110917*c_1100_1^11 + 5967470445/1954110917*c_1100_1^10 - 18377536493/1954110917*c_1100_1^9 + 33162466421/1954110917*c_1100_1^8 - 6887794965/177646447*c_1100_1^7 + 76862598476/1954110917*c_1100_1^6 - 52260774639/1954110917*c_1100_1^5 + 43705216081/1954110917*c_1100_1^4 - 42006859817/1954110917*c_1100_1^3 + 22338133662/1954110917*c_1100_1^2 - 2313174096/1954110917*c_1100_1 - 2003316885/1954110917, c_0101_10 - 1021294233/3908221834*c_1100_1^12 + 856591221/3908221834*c_1100_1^11 - 6552258162/1954110917*c_1100_1^10 + 33724052387/3908221834*c_1100_1^9 - 29756465026/1954110917*c_1100_1^8 + 13271671847/355292894*c_1100_1^7 - 53620155708/1954110917*c_1100_1^6 + 101766553167/3908221834*c_1100_1^5 - 31409588667/1954110917*c_1100_1^4 + 76854344645/3908221834*c_1100_1^3 - 13504987959/1954110917*c_1100_1^2 + 11843254949/3908221834*c_1100_1 + 4117887853/3908221834, c_0101_11 + 461515117/1954110917*c_1100_1^12 - 638772682/1954110917*c_1100_1^11 + 5967470445/1954110917*c_1100_1^10 - 18377536493/1954110917*c_1100_1^9 + 33162466421/1954110917*c_1100_1^8 - 6887794965/177646447*c_1100_1^7 + 76862598476/1954110917*c_1100_1^6 - 52260774639/1954110917*c_1100_1^5 + 43705216081/1954110917*c_1100_1^4 - 42006859817/1954110917*c_1100_1^3 + 22338133662/1954110917*c_1100_1^2 - 2313174096/1954110917*c_1100_1 - 2003316885/1954110917, c_0101_6 + c_1100_1, c_0110_2 - 918447587/7816443668*c_1100_1^12 + 561450509/1954110917*c_1100_1^11 - 13412147579/7816443668*c_1100_1^10 + 24443742005/3908221834*c_1100_1^9 - 53595449693/3908221834*c_1100_1^8 + 10060916181/355292894*c_1100_1^7 - 313620903179/7816443668*c_1100_1^6 + 68926111438/1954110917*c_1100_1^5 - 41714380226/1954110917*c_1100_1^4 + 93359000915/3908221834*c_1100_1^3 - 109735895087/7816443668*c_1100_1^2 + 15050054598/1954110917*c_1100_1 + 15457216285/7816443668, c_1100_1^13 - c_1100_1^12 + 13*c_1100_1^11 - 35*c_1100_1^10 + 64*c_1100_1^9 - 152*c_1100_1^8 + 127*c_1100_1^7 - 117*c_1100_1^6 + 68*c_1100_1^5 - 86*c_1100_1^4 + 35*c_1100_1^3 - 13*c_1100_1^2 - 7*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB