Magma V2.19-8 Wed Aug 21 2013 00:58:57 on localhost [Seed = 21437034] Type ? for help. Type -D to quit. Loading file "L13n6159__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6159 geometric_solution 11.64718796 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 -1 1 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 0.398870699096 0.523812503073 0 5 7 6 0132 0132 0132 0132 0 0 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 2 -3 1 -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 0.587988631658 0.577821810325 8 0 8 9 0132 0132 1023 0132 1 1 1 1 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 -1 0 -1 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.524433183062 1.879132143594 10 7 6 0 0132 2031 2031 0132 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 0 -1 0 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 0.581249471015 0.897487344843 6 8 0 10 0132 1302 0132 0132 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 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 0.079835018006 1.208396414051 8 1 11 12 1023 0132 0132 0132 0 1 1 1 0 -1 0 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 -2 0 2 1 0 0 -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 0.300665870598 0.379360429883 4 12 1 3 0132 2031 0132 1302 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 -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 0.426932459158 0.915023272033 3 9 11 1 1302 2103 0321 0132 0 0 1 1 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 -3 0 3 0 0 1 -1 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639384563784 1.020147574567 2 5 2 4 0132 1023 1023 2031 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 -1 1 0 1 0 0 -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 -0.524433183062 1.879132143594 11 7 2 10 0132 2103 0132 0321 1 1 0 1 0 0 0 0 -1 0 1 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 2 0 -2 0 -3 3 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300665870598 0.379360429883 3 9 4 12 0132 0321 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818081157010 1.147310903187 9 12 7 5 0132 2310 0321 0132 0 1 1 0 0 0 0 0 1 0 -1 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 -2 0 2 0 -2 1 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522835718424 2.238442620292 6 10 5 11 1302 2310 0132 3201 0 1 0 1 0 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 -2 2 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 0.558897189934 0.703786089485 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0110_12']), 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0110_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_0'], '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_12' : 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_1100_9' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : negation(d['c_0110_12']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_4'], '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'], 'c_1100_12' : negation(d['c_0011_11']), '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_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], '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_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_12, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 692308597/9798040*c_1001_1^10 - 747427459/9798040*c_1001_1^9 + 529470847/7838432*c_1001_1^8 - 2174479133/19596080*c_1001_1^7 - 3873759751/156768640*c_1001_1^6 - 1567716641/22395520*c_1001_1^5 + 89152663/5598880*c_1001_1^4 - 11921016857/156768640*c_1001_1^3 + 4488684107/39192160*c_1001_1^2 - 379912541/9798040*c_1001_1 + 2563777361/39192160, c_0011_0 - 1, c_0011_10 - 5465988/1524695*c_1001_1^10 + 10238076/1524695*c_1001_1^9 - 2582115/304939*c_1001_1^8 + 12711786/1524695*c_1001_1^7 - 9941269/6098780*c_1001_1^6 + 16730067/6098780*c_1001_1^5 + 824869/1524695*c_1001_1^4 + 21741797/6098780*c_1001_1^3 - 6461062/1524695*c_1001_1^2 + 5963229/1524695*c_1001_1 - 3847676/1524695, c_0011_11 - 2334692/1524695*c_1001_1^10 + 9586924/1524695*c_1001_1^9 - 1965435/304939*c_1001_1^8 + 10346214/1524695*c_1001_1^7 - 26620301/6098780*c_1001_1^6 - 5198017/6098780*c_1001_1^5 - 6553684/1524695*c_1001_1^4 - 5056467/6098780*c_1001_1^3 - 9377588/1524695*c_1001_1^2 + 2994316/1524695*c_1001_1 - 3996619/1524695, c_0011_12 - 127696/24995*c_1001_1^10 + 96952/24995*c_1001_1^9 - 17188/4999*c_1001_1^8 + 123622/24995*c_1001_1^7 + 104423/24995*c_1001_1^6 + 268347/49990*c_1001_1^5 + 153631/49990*c_1001_1^4 + 123381/24995*c_1001_1^3 - 46453/49990*c_1001_1^2 + 36368/24995*c_1001_1 + 593/24995, c_0011_4 - 32682/24995*c_1001_1^10 - 75226/24995*c_1001_1^9 + 38689/9998*c_1001_1^8 - 69851/24995*c_1001_1^7 + 1079463/199960*c_1001_1^6 + 527351/199960*c_1001_1^5 + 133067/49990*c_1001_1^4 + 407721/199960*c_1001_1^3 + 234589/49990*c_1001_1^2 - 33789/24995*c_1001_1 + 94907/49990, c_0011_7 - 32682/24995*c_1001_1^10 - 75226/24995*c_1001_1^9 + 38689/9998*c_1001_1^8 - 69851/24995*c_1001_1^7 + 1079463/199960*c_1001_1^6 + 527351/199960*c_1001_1^5 + 133067/49990*c_1001_1^4 + 407721/199960*c_1001_1^3 + 234589/49990*c_1001_1^2 - 33789/24995*c_1001_1 + 94907/49990, c_0101_0 - 1, c_0101_1 - 127696/24995*c_1001_1^10 + 96952/24995*c_1001_1^9 - 17188/4999*c_1001_1^8 + 123622/24995*c_1001_1^7 + 104423/24995*c_1001_1^6 + 268347/49990*c_1001_1^5 + 153631/49990*c_1001_1^4 + 123381/24995*c_1001_1^3 - 46453/49990*c_1001_1^2 + 36368/24995*c_1001_1 + 593/24995, c_0101_2 + 21066/24995*c_1001_1^10 + 14018/24995*c_1001_1^9 - 2721/9998*c_1001_1^8 - 44007/24995*c_1001_1^7 - 372599/199960*c_1001_1^6 - 303923/199960*c_1001_1^5 - 29053/24995*c_1001_1^4 + 36087/199960*c_1001_1^3 + 6894/24995*c_1001_1^2 + 13997/24995*c_1001_1 + 18679/49990, c_0101_3 + 4901748/1524695*c_1001_1^10 - 4028756/1524695*c_1001_1^9 + 605503/304939*c_1001_1^8 - 5155936/1524695*c_1001_1^7 - 14424831/6098780*c_1001_1^6 - 16998977/6098780*c_1001_1^5 - 3287973/3049390*c_1001_1^4 - 16741957/6098780*c_1001_1^3 + 3984989/3049390*c_1001_1^2 - 2023734/1524695*c_1001_1 + 317846/1524695, c_0110_12 + 5465988/1524695*c_1001_1^10 - 10238076/1524695*c_1001_1^9 + 2582115/304939*c_1001_1^8 - 12711786/1524695*c_1001_1^7 + 9941269/6098780*c_1001_1^6 - 16730067/6098780*c_1001_1^5 - 824869/1524695*c_1001_1^4 - 21741797/6098780*c_1001_1^3 + 6461062/1524695*c_1001_1^2 - 5963229/1524695*c_1001_1 + 3847676/1524695, c_1001_1^11 - c_1001_1^10 + 7/4*c_1001_1^9 - 2*c_1001_1^8 + 5/16*c_1001_1^7 - 29/16*c_1001_1^6 - 7/8*c_1001_1^5 - 29/16*c_1001_1^4 - 1/8*c_1001_1^3 - 3/2*c_1001_1^2 + 1/4*c_1001_1 - 1/2, c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB