Magma V2.19-8 Tue Aug 20 2013 23:55:30 on localhost [Seed = 121728837] Type ? for help. Type -D to quit. Loading file "L14a29878__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a29878 geometric_solution 10.24935312 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 1 2 0132 1302 3012 0132 1 1 1 2 0 0 -1 1 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 -1 5 -4 1 0 0 -1 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943921762588 1.082894030638 0 0 3 0 0132 1230 0132 2031 1 1 2 1 0 0 0 0 0 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 -1 0 0 1 1 -5 0 4 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047693514798 0.920981558247 4 5 0 6 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 4 -4 -5 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.139492527432 0.848171140027 7 8 9 1 0132 0132 0132 0132 1 1 1 1 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 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987484348837 0.842710313717 2 4 7 4 0132 2310 1023 3201 1 1 1 1 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.791226052110 0.972481673810 7 2 9 9 3201 0132 2103 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502138360754 0.307426733432 10 9 2 11 0132 2103 0132 0132 1 1 1 1 0 0 -1 1 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 4 -4 0 0 -4 4 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508631520348 0.662557339091 3 10 4 5 0132 3120 1023 2310 1 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633638180440 0.420941619807 11 3 11 11 0213 0132 1230 3201 1 0 1 1 0 0 0 0 0 0 -1 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 -5 -4 0 0 4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195827810556 0.831916078209 5 6 5 3 2103 2103 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303023208625 0.821728740054 6 7 10 10 0132 3120 2031 1302 1 1 1 1 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.083855437245 0.539950771509 8 8 6 8 0213 2310 0132 3012 1 1 0 1 0 1 -1 0 -1 0 1 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 -4 4 0 4 0 -4 0 -1 5 0 -4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436485423277 0.392027039798 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0011_2']), 'c_1100_6' : negation(d['c_1001_1']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_1']), 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_4'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_2, c_0011_3, c_0011_9, c_0101_1, c_0101_3, c_0101_4, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 3880518994981961/2270314218101473280*c_1001_2^9 - 11590386182978677/2270314218101473280*c_1001_2^8 - 15779988703178349/567578554525368320*c_1001_2^7 - 7026878823200573/567578554525368320*c_1001_2^6 + 29248220518342607/227031421810147328*c_1001_2^5 + 711391070238231957/1135157109050736640*c_1001_2^4 + 822466468676642179/567578554525368320*c_1001_2^3 + 267193345881798395/113515710905073664*c_1001_2^2 + 15760488799682171/5747630931902464*c_1001_2 + 4283726007474507811/2270314218101473280, c_0011_0 - 1, c_0011_10 + 299/493312*c_1001_2^9 - 1849/493312*c_1001_2^8 + 3/30832*c_1001_2^7 + 157/61664*c_1001_2^6 + 17951/246656*c_1001_2^5 + 10039/246656*c_1001_2^4 - 5927/61664*c_1001_2^3 + 12021/30832*c_1001_2^2 - 285281/493312*c_1001_2 + 50835/493312, c_0011_11 - 1, c_0011_2 - 261/246656*c_1001_2^9 + 45/7708*c_1001_2^8 + 259/30832*c_1001_2^7 - 313/7708*c_1001_2^6 - 5229/123328*c_1001_2^5 - 2477/15416*c_1001_2^4 - 1415/7708*c_1001_2^3 + 1717/7708*c_1001_2^2 + 83367/246656*c_1001_2 + 14483/15416, c_0011_3 - 281/493312*c_1001_2^9 + 1351/493312*c_1001_2^8 + 949/123328*c_1001_2^7 - 2467/123328*c_1001_2^6 - 12939/246656*c_1001_2^5 - 23291/246656*c_1001_2^4 - 20523/123328*c_1001_2^3 + 21869/123328*c_1001_2^2 + 92679/493312*c_1001_2 - 226425/493312, c_0011_9 - 27/123328*c_1001_2^9 - 433/246656*c_1001_2^8 + 971/61664*c_1001_2^7 + 339/30832*c_1001_2^6 + 95/30832*c_1001_2^5 - 35397/123328*c_1001_2^4 - 53175/61664*c_1001_2^3 - 13443/15416*c_1001_2^2 - 173577/123328*c_1001_2 + 77779/246656, c_0101_1 - 1, c_0101_3 - 431/493312*c_1001_2^9 + 1647/493312*c_1001_2^8 + 1291/123328*c_1001_2^7 + 701/123328*c_1001_2^6 - 22589/246656*c_1001_2^5 - 69587/246656*c_1001_2^4 - 44261/123328*c_1001_2^3 - 99235/123328*c_1001_2^2 + 143249/493312*c_1001_2 - 69681/493312, c_0101_4 + 39/123328*c_1001_2^9 - 231/246656*c_1001_2^8 - 83/15416*c_1001_2^7 - 337/61664*c_1001_2^6 + 2509/61664*c_1001_2^5 + 24151/123328*c_1001_2^4 + 735/15416*c_1001_2^3 - 2621/61664*c_1001_2^2 + 20767/123328*c_1001_2 - 150031/246656, c_1001_1 + c_1001_2 + 1, c_1001_11 + 281/493312*c_1001_2^9 - 1351/493312*c_1001_2^8 - 949/123328*c_1001_2^7 + 2467/123328*c_1001_2^6 + 12939/246656*c_1001_2^5 + 23291/246656*c_1001_2^4 + 20523/123328*c_1001_2^3 - 21869/123328*c_1001_2^2 + 400633/493312*c_1001_2 + 719737/493312, c_1001_2^10 - 4*c_1001_2^9 - 13*c_1001_2^8 + 8*c_1001_2^7 + 82*c_1001_2^6 + 288*c_1001_2^5 + 494*c_1001_2^4 + 568*c_1001_2^3 + 349*c_1001_2^2 - 348*c_1001_2 - 913 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB