Magma V2.19-8 Tue Aug 20 2013 23:38:23 on localhost [Seed = 1781272143] Type ? for help. Type -D to quit. Loading file "K10n23__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10n23 geometric_solution 10.56101675 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1302 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 -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 0.413120128981 1.175989093336 0 4 6 5 0132 0132 0132 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 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 0.635534602316 0.978571330467 0 0 4 7 2031 0132 0132 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 1 0 1 0 0 -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 0.734091667023 0.756935519409 8 6 0 5 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0.391594636187 0.642024982633 5 1 9 2 0213 0132 0132 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 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 0.772011140310 0.470855107079 4 10 1 3 0213 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.257863344138 0.583857574855 9 3 8 1 2310 0132 3120 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 -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 0.115736137764 0.758164028048 10 10 2 8 0321 3201 0132 3201 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 1 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768665475803 1.022937583239 3 7 6 9 0132 2310 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891081120558 0.662920246848 8 10 6 4 3201 0321 3201 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768665475803 1.022937583239 7 5 7 9 0321 0132 2310 0321 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 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 0.530513693284 0.624790891583 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_10'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_1001_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_7'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_1001_1, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 634316/2221023*c_1001_4^9 - 1186098/740341*c_1001_4^8 + 10571779/2221023*c_1001_4^7 + 825649/2221023*c_1001_4^6 - 26769398/2221023*c_1001_4^5 + 7958056/2221023*c_1001_4^4 + 39229661/2221023*c_1001_4^3 - 51828997/2221023*c_1001_4^2 - 37813730/2221023*c_1001_4 - 1017196/740341, c_0011_0 - 1, c_0011_10 + 226/521*c_1001_4^9 - 523/521*c_1001_4^8 - 217/521*c_1001_4^7 + 1565/521*c_1001_4^6 - 285/521*c_1001_4^5 - 2778/521*c_1001_4^4 + 2790/521*c_1001_4^3 + 2259/521*c_1001_4^2 - 1493/521*c_1001_4 - 512/521, c_0011_3 + 313/521*c_1001_4^9 - 450/521*c_1001_4^8 - 893/521*c_1001_4^7 + 2013/521*c_1001_4^6 + 1000/521*c_1001_4^5 - 4018/521*c_1001_4^4 + 1508/521*c_1001_4^3 + 6031/521*c_1001_4^2 - 922/521*c_1001_4 - 580/521, c_0011_7 + 62/521*c_1001_4^9 - 457/521*c_1001_4^8 + 692/521*c_1001_4^7 + 457/521*c_1001_4^6 - 1821/521*c_1001_4^5 - 195/521*c_1001_4^4 + 3458/521*c_1001_4^3 - 2995/521*c_1001_4^2 - 1719/521*c_1001_4 - 288/521, c_0101_1 - 447/521*c_1001_4^9 + 631/521*c_1001_4^8 + 994/521*c_1001_4^7 - 2194/521*c_1001_4^6 - 1518/521*c_1001_4^5 + 4305/521*c_1001_4^4 - 1318/521*c_1001_4^3 - 6499/521*c_1001_4^2 - 2808/521*c_1001_4 + 26/521, c_0101_10 - 385/521*c_1001_4^9 + 174/521*c_1001_4^8 + 1686/521*c_1001_4^7 - 1737/521*c_1001_4^6 - 3339/521*c_1001_4^5 + 4110/521*c_1001_4^4 + 2140/521*c_1001_4^3 - 9494/521*c_1001_4^2 - 4527/521*c_1001_4 - 262/521, c_0101_2 - 326/521*c_1001_4^9 + 487/521*c_1001_4^8 + 1000/521*c_1001_4^7 - 2571/521*c_1001_4^6 - 677/521*c_1001_4^5 + 4874/521*c_1001_4^4 - 2586/521*c_1001_4^3 - 6924/521*c_1001_4^2 + 3274/521*c_1001_4 - 368/521, c_0101_8 - 11/521*c_1001_4^9 - 129/521*c_1001_4^8 + 331/521*c_1001_4^7 + 129/521*c_1001_4^6 - 929/521*c_1001_4^5 + 43/521*c_1001_4^4 + 1773/521*c_1001_4^3 - 1477/521*c_1001_4^2 - 1737/521*c_1001_4 + 320/521, c_1001_1 - 620/521*c_1001_4^9 + 923/521*c_1001_4^8 + 1416/521*c_1001_4^7 - 3528/521*c_1001_4^6 - 1588/521*c_1001_4^5 + 6639/521*c_1001_4^4 - 3320/521*c_1001_4^3 - 9125/521*c_1001_4^2 - 524/521*c_1001_4 - 767/521, c_1001_10 + 313/521*c_1001_4^9 - 450/521*c_1001_4^8 - 893/521*c_1001_4^7 + 2013/521*c_1001_4^6 + 1000/521*c_1001_4^5 - 4018/521*c_1001_4^4 + 1508/521*c_1001_4^3 + 6031/521*c_1001_4^2 - 401/521*c_1001_4 - 580/521, c_1001_4^10 - 4*c_1001_4^8 + c_1001_4^7 + 11*c_1001_4^6 - 4*c_1001_4^5 - 12*c_1001_4^4 + 18*c_1001_4^3 + 30*c_1001_4^2 + 5*c_1001_4 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_1, c_0101_10, c_0101_2, c_0101_8, c_1001_1, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 68362/35759*c_1001_4^9 - 358632/35759*c_1001_4^8 - 863421/71518*c_1001_4^7 + 83413/71518*c_1001_4^6 - 764828/35759*c_1001_4^5 - 3097637/35759*c_1001_4^4 - 5251847/71518*c_1001_4^3 + 16449/35759*c_1001_4^2 - 2670707/71518*c_1001_4 - 1843797/35759, c_0011_0 - 1, c_0011_10 + 26920/35759*c_1001_4^9 + 33352/35759*c_1001_4^8 - 1396/35759*c_1001_4^7 + 34415/35759*c_1001_4^6 + 235766/35759*c_1001_4^5 + 183109/35759*c_1001_4^4 + 70010/35759*c_1001_4^3 + 134052/35759*c_1001_4^2 + 156027/35759*c_1001_4 + 26076/35759, c_0011_3 + c_1001_4, c_0011_7 - 4374/35759*c_1001_4^9 - 17863/35759*c_1001_4^8 - 4789/35759*c_1001_4^7 - 3586/35759*c_1001_4^6 - 59407/35759*c_1001_4^5 - 121628/35759*c_1001_4^4 - 34887/35759*c_1001_4^3 - 59304/35759*c_1001_4^2 - 70114/35759*c_1001_4 - 29401/35759, c_0101_1 - 11986/35759*c_1001_4^9 + 10665/35759*c_1001_4^8 + 25350/35759*c_1001_4^7 - 29284/35759*c_1001_4^6 - 74629/35759*c_1001_4^5 + 118900/35759*c_1001_4^4 + 82508/35759*c_1001_4^3 - 53565/35759*c_1001_4^2 + 23272/35759*c_1001_4 + 33054/35759, c_0101_10 + 4374/35759*c_1001_4^9 + 17863/35759*c_1001_4^8 + 4789/35759*c_1001_4^7 + 3586/35759*c_1001_4^6 + 59407/35759*c_1001_4^5 + 121628/35759*c_1001_4^4 + 34887/35759*c_1001_4^3 + 59304/35759*c_1001_4^2 + 70114/35759*c_1001_4 + 29401/35759, c_0101_2 - 28922/35759*c_1001_4^9 - 51273/35759*c_1001_4^8 + 2605/35759*c_1001_4^7 - 13476/35759*c_1001_4^6 - 266227/35759*c_1001_4^5 - 314973/35759*c_1001_4^4 - 34277/35759*c_1001_4^3 - 46659/35759*c_1001_4^2 - 146555/35759*c_1001_4 - 53987/35759, c_0101_8 + 2276/35759*c_1001_4^9 + 14658/35759*c_1001_4^8 + 10700/35759*c_1001_4^7 - 3121/35759*c_1001_4^6 + 31272/35759*c_1001_4^5 + 114581/35759*c_1001_4^4 + 43219/35759*c_1001_4^3 + 5744/35759*c_1001_4^2 + 41209/35759*c_1001_4 + 34053/35759, c_1001_1 - 30920/35759*c_1001_4^9 - 40008/35759*c_1001_4^8 + 6598/35759*c_1001_4^7 - 30124/35759*c_1001_4^6 - 258046/35759*c_1001_4^5 - 227054/35759*c_1001_4^4 - 43591/35759*c_1001_4^3 - 94939/35759*c_1001_4^2 - 98235/35759*c_1001_4 - 40046/35759, c_1001_10 + 26920/35759*c_1001_4^9 + 33352/35759*c_1001_4^8 - 1396/35759*c_1001_4^7 + 34415/35759*c_1001_4^6 + 235766/35759*c_1001_4^5 + 183109/35759*c_1001_4^4 + 70010/35759*c_1001_4^3 + 134052/35759*c_1001_4^2 + 120268/35759*c_1001_4 + 26076/35759, c_1001_4^10 + 3/2*c_1001_4^9 + c_1001_4^7 + 9*c_1001_4^6 + 9*c_1001_4^5 + 5/2*c_1001_4^4 + 9/2*c_1001_4^3 + 11/2*c_1001_4^2 + 2*c_1001_4 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB