Magma V2.19-8 Wed Aug 21 2013 00:57:43 on localhost [Seed = 4290372936] Type ? for help. Type -D to quit. Loading file "L13n4416__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4416 geometric_solution 11.77798382 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516581807358 0.929078789202 0 5 7 6 0132 0132 0132 0132 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 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 0.516581807358 0.929078789202 8 0 10 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -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 -1 1 0 0 0 0 0 -2 3 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015918804284 2.129958483311 8 11 6 0 3012 0132 0132 0132 1 1 1 0 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 -1 1 0 0 0 0 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516581807358 0.929078789202 12 5 0 7 0132 1302 0132 0132 1 1 1 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 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032840755371 1.024762104613 8 1 9 4 1023 0132 2031 2031 1 1 0 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115729527626 0.973544082262 10 12 1 3 1023 3120 0132 0132 1 1 0 1 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 -1 0 1 -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 0.466977857743 0.751676231378 12 11 4 1 3120 0321 0132 0132 1 1 0 1 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 0 -1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174960359096 0.622427745667 2 5 10 3 0132 1023 0321 1230 1 1 0 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 0 0 3 -3 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182430006739 0.382479720648 12 11 2 5 2031 0213 0132 1302 1 1 1 1 0 0 0 0 -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 0 0 0 -2 0 0 2 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460148952270 0.411719504456 11 6 8 2 0321 1023 0321 0132 1 1 0 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 1 0 -1 0 0 0 0 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003508681192 0.469466496096 10 3 9 7 0321 0132 0213 0321 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 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 0.085181675777 0.435943273667 4 6 9 7 0132 3120 1302 3120 1 1 0 1 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 0 2 -2 0 0 1 -1 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716108343595 0.543091590411 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0101_3'], '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' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_9']), '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_0101_5'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_0101_3'], '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' : d['c_0011_9'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_9'], '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' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_11']), '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_0011_9'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_9, c_1001_0, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 226455482677/803203192*c_1100_0^7 + 93935063794969/36947346832*c_1100_0^6 + 53660734696135/73894693664*c_1100_0^5 - 76350705244677/147789387328*c_1100_0^4 + 725278156155/4618418354*c_1100_0^3 + 5920165161337/9236836708*c_1100_0^2 + 37085978017739/73894693664*c_1100_0 + 35169929560373/147789387328, c_0011_0 - 1, c_0011_10 + 190739/20042*c_1100_0^7 + 30507/20042*c_1100_0^6 - 1051775/80168*c_1100_0^5 + 587633/80168*c_1100_0^4 + 27011/40084*c_1100_0^3 + 52015/40084*c_1100_0^2 - 47847/80168*c_1100_0 - 85975/80168, c_0011_11 - 1500359/40084*c_1100_0^7 + 390809/40084*c_1100_0^6 + 94603/160336*c_1100_0^5 - 313549/160336*c_1100_0^4 - 69845/10021*c_1100_0^3 - 191549/40084*c_1100_0^2 - 182415/160336*c_1100_0 + 121421/160336, c_0011_12 - 106605/10021*c_1100_0^7 + 39396/10021*c_1100_0^6 - 199371/40084*c_1100_0^5 + 6272/10021*c_1100_0^4 - 114495/40084*c_1100_0^3 - 106039/40084*c_1100_0^2 - 965/10021*c_1100_0 - 21787/40084, c_0011_9 + 10212/911*c_1100_0^7 - 3113/1822*c_1100_0^6 - 4086/911*c_1100_0^5 - 1715/7288*c_1100_0^4 + 14373/3644*c_1100_0^3 + 967/3644*c_1100_0^2 - 441/3644*c_1100_0 - 2039/7288, c_0101_0 - 1, c_0101_1 - 1247129/40084*c_1100_0^7 - 248771/40084*c_1100_0^6 - 126859/160336*c_1100_0^5 - 555921/160336*c_1100_0^4 - 140013/20042*c_1100_0^3 - 309361/40084*c_1100_0^2 - 472449/160336*c_1100_0 - 168967/160336, c_0101_3 - 820709/40084*c_1100_0^7 - 406355/40084*c_1100_0^6 + 670625/160336*c_1100_0^5 - 656273/160336*c_1100_0^4 - 165531/40084*c_1100_0^3 - 101661/20042*c_1100_0^2 - 457009/160336*c_1100_0 - 81819/160336, c_0101_5 - 20033/3644*c_1100_0^7 + 3077/3644*c_1100_0^6 - 1891/14576*c_1100_0^5 + 24807/14576*c_1100_0^4 + 361/911*c_1100_0^3 - 12367/3644*c_1100_0^2 - 2625/14576*c_1100_0 + 7705/14576, c_0110_9 + 14881/911*c_1100_0^7 + 3560/911*c_1100_0^6 - 29061/3644*c_1100_0^5 + 4664/911*c_1100_0^4 + 9909/1822*c_1100_0^3 + 2183/911*c_1100_0^2 + 4571/3644*c_1100_0 - 187/911, c_1001_0 - 14881/911*c_1100_0^7 - 3560/911*c_1100_0^6 + 29061/3644*c_1100_0^5 - 4664/911*c_1100_0^4 - 9909/1822*c_1100_0^3 - 2183/911*c_1100_0^2 - 4571/3644*c_1100_0 - 724/911, c_1001_7 - 29693/3644*c_1100_0^7 + 70523/3644*c_1100_0^6 - 44439/14576*c_1100_0^5 - 78519/14576*c_1100_0^4 + 2492/911*c_1100_0^3 + 7711/3644*c_1100_0^2 + 16283/14576*c_1100_0 + 10159/14576, c_1100_0^8 + 6/23*c_1100_0^7 - 7/92*c_1100_0^6 + 5/46*c_1100_0^5 + 1/4*c_1100_0^4 + 5/23*c_1100_0^3 + 11/92*c_1100_0^2 + 1/46*c_1100_0 + 1/92 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.510 seconds, Total memory usage: 32.09MB