Magma V2.19-8 Tue Aug 20 2013 23:38:18 on localhost [Seed = 3616650233] Type ? for help. Type -D to quit. Loading file "K13n1534__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1534 geometric_solution 9.46005690 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 -1 0 1 16 0 -1 -15 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066703643886 1.185208370542 0 5 6 6 0132 0132 3012 0132 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 0 0 0 -16 0 16 0 -15 0 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688148279842 0.881060363240 3 0 7 7 1023 0132 1230 0132 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 1 0 -1 0 0 0 0 -16 15 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338478047942 1.185676866609 5 2 8 0 0132 1023 0132 0132 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 -16 16 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132007889344 0.555689557435 9 7 0 5 0132 2031 0132 1023 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 -15 0 15 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 0.649158305170 0.694054125408 3 1 8 4 0132 0132 1023 1023 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 0 0 0 1 0 0 -1 1 0 0 -1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357006282041 1.008633476110 9 1 1 8 2031 1230 0132 3120 0 0 0 0 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 -16 0 16 0 0 0 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357006282041 1.008633476110 4 9 2 2 1302 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338478047942 1.185676866609 6 9 5 3 3120 0321 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272758569996 1.424663090594 4 7 6 8 0132 2103 1302 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 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154500496020 0.592137590322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0110_7']), 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1100_9' : d['c_0101_0'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : d['c_0101_2'], '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_7']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_2, c_0101_8, c_0110_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 368433925906/1693387421131*c_1100_0^10 + 998480554297/1693387421131*c_1100_0^9 - 3565235886183/1693387421131*c_1100_0^8 - 6623364562669/1693387421131*c_1100_0^7 + 57144771957708/1693387421131*c_1100_0^6 - 35050712278946/241912488733*c_1100_0^5 - 9018541541258/1693387421131*c_1100_0^4 + 416831878537197/1693387421131*c_1100_0^3 + 61415210953217/1693387421131*c_1100_0^2 - 238418600274577/1693387421131*c_1100_0 - 147935036684928/1693387421131, c_0011_0 - 1, c_0011_4 + 1550151014/5625871831*c_1100_0^10 + 3752517557/5625871831*c_1100_0^9 + 16266676526/5625871831*c_1100_0^8 + 69344630057/5625871831*c_1100_0^7 - 77371637662/5625871831*c_1100_0^6 - 167807886648/5625871831*c_1100_0^5 + 66547128579/5625871831*c_1100_0^4 + 140423492233/5625871831*c_1100_0^3 + 25473136640/5625871831*c_1100_0^2 - 27120082566/5625871831*c_1100_0 - 12013867843/5625871831, c_0011_6 + 249280754/5625871831*c_1100_0^10 + 334268068/5625871831*c_1100_0^9 + 2378051223/5625871831*c_1100_0^8 + 9119893402/5625871831*c_1100_0^7 - 20302776742/5625871831*c_1100_0^6 + 3427077533/5625871831*c_1100_0^5 + 13268426601/5625871831*c_1100_0^4 - 9235494618/5625871831*c_1100_0^3 - 2303748704/5625871831*c_1100_0^2 + 2748320314/5625871831*c_1100_0 + 2728826361/5625871831, c_0011_7 - 1, c_0011_8 - 249280754/5625871831*c_1100_0^10 - 334268068/5625871831*c_1100_0^9 - 2378051223/5625871831*c_1100_0^8 - 9119893402/5625871831*c_1100_0^7 + 20302776742/5625871831*c_1100_0^6 - 3427077533/5625871831*c_1100_0^5 - 13268426601/5625871831*c_1100_0^4 + 9235494618/5625871831*c_1100_0^3 + 2303748704/5625871831*c_1100_0^2 - 2748320314/5625871831*c_1100_0 - 2728826361/5625871831, c_0101_0 + 233611314/5625871831*c_1100_0^10 + 1006032123/5625871831*c_1100_0^9 + 3352459773/5625871831*c_1100_0^8 + 14735254231/5625871831*c_1100_0^7 + 6391151481/5625871831*c_1100_0^6 - 54191752831/5625871831*c_1100_0^5 - 27331501619/5625871831*c_1100_0^4 + 51684900184/5625871831*c_1100_0^3 + 34155883729/5625871831*c_1100_0^2 - 4780803875/5625871831*c_1100_0 - 8644773392/5625871831, c_0101_2 - 2603741970/5625871831*c_1100_0^10 - 6809580152/5625871831*c_1100_0^9 - 28400651858/5625871831*c_1100_0^8 - 121291050294/5625871831*c_1100_0^7 + 108941375249/5625871831*c_1100_0^6 + 314709681593/5625871831*c_1100_0^5 - 60891140137/5625871831*c_1100_0^4 - 292343284247/5625871831*c_1100_0^3 - 85147121264/5625871831*c_1100_0^2 + 66608600471/5625871831*c_1100_0 + 39103373172/5625871831, c_0101_8 - 197060502/5625871831*c_1100_0^10 - 320137390/5625871831*c_1100_0^9 - 1762528588/5625871831*c_1100_0^8 - 7164841754/5625871831*c_1100_0^7 + 16451023631/5625871831*c_1100_0^6 + 12193648146/5625871831*c_1100_0^5 - 13822726379/5625871831*c_1100_0^4 - 12896912793/5625871831*c_1100_0^3 - 498792266/5625871831*c_1100_0^2 + 694333693/5625871831*c_1100_0 + 1203333977/5625871831, c_0110_7 - 361628996/5625871831*c_1100_0^10 - 400507012/5625871831*c_1100_0^9 - 2959239896/5625871831*c_1100_0^8 - 11678209102/5625871831*c_1100_0^7 + 36599680645/5625871831*c_1100_0^6 + 4289385341/5625871831*c_1100_0^5 - 39233721177/5625871831*c_1100_0^4 + 6521346654/5625871831*c_1100_0^3 + 4372772639/5625871831*c_1100_0^2 - 1844821126/5625871831*c_1100_0 - 1492474430/5625871831, c_1100_0^11 + 3*c_1100_0^10 + 12*c_1100_0^9 + 51*c_1100_0^8 - 23*c_1100_0^7 - 133*c_1100_0^6 - 27*c_1100_0^5 + 111*c_1100_0^4 + 80*c_1100_0^3 - 3*c_1100_0^2 - 22*c_1100_0 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB