Magma V2.19-8 Wed Aug 21 2013 00:52:36 on localhost [Seed = 509086626] Type ? for help. Type -D to quit. Loading file "L12a982__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a982 geometric_solution 11.98888890 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 0 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 -1 0 1 0 0 4 0 -4 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.199414205002 1.249689511851 0 5 6 6 0132 0132 2103 0132 1 1 0 0 0 1 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 0 0 0 0 -4 0 4 1 0 0 -1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548483025952 0.653107134736 2 0 5 2 3012 0132 3201 1230 0 0 0 0 0 0 -1 1 -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 -1 5 -4 4 0 0 -4 4 0 0 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659955658041 0.607449530657 7 8 8 0 0132 0132 2103 0132 0 1 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 -3 0 4 -1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810936912955 1.957047790015 7 9 0 10 2103 0132 0132 0132 0 1 1 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 1 -1 0 0 0 0 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436234326792 0.471775505368 2 1 9 8 2310 0132 1230 1302 1 0 0 0 0 -1 0 1 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 4 0 -4 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 0.971711269230 1.121380097306 1 10 1 11 2103 3012 0132 0132 1 1 1 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 1 -4 3 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 0.245949715161 0.897886712398 3 12 4 9 0132 0132 2103 3120 1 1 0 0 0 0 0 0 -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 1 -1 0 3 0 0 -3 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145881476355 0.515587059021 3 3 5 10 2103 0132 2031 2103 0 1 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 -4 0 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 0 0.553151462658 0.627127918713 7 4 11 5 3120 0132 2310 3012 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743279926757 0.378066983307 6 12 4 8 1230 2031 0132 2103 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 0 0 0 0 -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 0.222681351589 0.589777914410 12 9 6 12 2031 3201 0132 1023 1 1 0 1 0 0 1 -1 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 -3 3 -1 0 1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716220100239 1.035993073114 10 7 11 11 1302 0132 1302 1023 1 1 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 -1 1 0 0 0 3 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548483025952 0.653107134736 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0110_12']), 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : d['c_0110_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_0_11' : 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_0101_11'], '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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_0011_0']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0110_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0110_12']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_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_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_6'])})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_12, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 33337901/1989504*c_0110_8^7 + 1981164727/12600192*c_0110_8^6 + 14969195807/37800576*c_0110_8^5 - 2842859977/37800576*c_0110_8^4 - 6229813597/6300096*c_0110_8^3 - 515820295/994752*c_0110_8^2 + 854025443/1145472*c_0110_8 + 20616616139/37800576, c_0011_0 - 1, c_0011_10 - 245/1413*c_0110_8^7 - 742/471*c_0110_8^6 - 5252/1413*c_0110_8^5 + 1456/1413*c_0110_8^4 + 3518/471*c_0110_8^3 + 3602/1413*c_0110_8^2 - 1552/471*c_0110_8 - 3767/1413, c_0011_12 - 80/471*c_0110_8^7 - 1732/1413*c_0110_8^6 - 1678/1413*c_0110_8^5 + 6226/1413*c_0110_8^4 + 146/471*c_0110_8^3 - 1150/471*c_0110_8^2 - 338/1413*c_0110_8 + 331/1413, c_0011_4 - 256/1413*c_0110_8^7 - 2465/1413*c_0110_8^6 - 735/157*c_0110_8^5 - 560/1413*c_0110_8^4 + 4154/471*c_0110_8^3 + 5269/1413*c_0110_8^2 - 6808/1413*c_0110_8 - 4022/1413, c_0011_6 - 31/1413*c_0110_8^7 - 331/1413*c_0110_8^6 - 1058/1413*c_0110_8^5 - 124/471*c_0110_8^4 + 312/157*c_0110_8^3 + 1615/1413*c_0110_8^2 - 4352/1413*c_0110_8 - 18/157, c_0101_0 - 1, c_0101_10 - 44/157*c_0110_8^7 - 3737/1413*c_0110_8^6 - 9818/1413*c_0110_8^5 - 1141/1413*c_0110_8^4 + 5626/471*c_0110_8^3 + 1173/157*c_0110_8^2 - 10276/1413*c_0110_8 - 6982/1413, c_0101_11 + 92/471*c_0110_8^7 + 2557/1413*c_0110_8^6 + 6310/1413*c_0110_8^5 - 1084/1413*c_0110_8^4 - 4454/471*c_0110_8^3 - 1739/471*c_0110_8^2 + 9008/1413*c_0110_8 + 3929/1413, c_0101_2 - 214/1413*c_0110_8^7 - 1895/1413*c_0110_8^6 - 466/157*c_0110_8^5 + 1828/1413*c_0110_8^4 + 2582/471*c_0110_8^3 + 574/1413*c_0110_8^2 - 4543/1413*c_0110_8 - 779/1413, c_0101_3 - 214/1413*c_0110_8^7 - 1895/1413*c_0110_8^6 - 466/157*c_0110_8^5 + 1828/1413*c_0110_8^4 + 2582/471*c_0110_8^3 + 574/1413*c_0110_8^2 - 4543/1413*c_0110_8 - 2192/1413, c_0101_5 + 214/1413*c_0110_8^7 + 1895/1413*c_0110_8^6 + 466/157*c_0110_8^5 - 1828/1413*c_0110_8^4 - 2582/471*c_0110_8^3 - 574/1413*c_0110_8^2 + 3130/1413*c_0110_8 + 779/1413, c_0110_12 + 83/1413*c_0110_8^7 + 790/1413*c_0110_8^6 + 664/471*c_0110_8^5 - 731/1413*c_0110_8^4 - 1873/471*c_0110_8^3 - 632/1413*c_0110_8^2 + 2222/1413*c_0110_8 + 1396/1413, c_0110_8^8 + 10*c_0110_8^7 + 30*c_0110_8^6 + 16*c_0110_8^5 - 43*c_0110_8^4 - 52*c_0110_8^3 + 11*c_0110_8^2 + 32*c_0110_8 + 11 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_12, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 217177/309760*c_0110_8^7 + 23795/61952*c_0110_8^6 - 107799/30976*c_0110_8^5 + 310193/309760*c_0110_8^4 - 391885/61952*c_0110_8^3 - 159679/28160*c_0110_8^2 - 304451/38720*c_0110_8 - 693547/309760, c_0011_0 - 1, c_0011_10 + 1/4*c_0110_8^7 + 1/4*c_0110_8^6 + c_0110_8^5 + 5/4*c_0110_8^4 + 7/4*c_0110_8^3 + 17/4*c_0110_8^2 + 6*c_0110_8 + 13/4, c_0011_12 + 1, c_0011_4 + 1, c_0011_6 - 1/8*c_0110_8^7 - 3/8*c_0110_8^6 - 1/4*c_0110_8^5 - 15/8*c_0110_8^4 + 1/8*c_0110_8^3 - 37/8*c_0110_8^2 - 17/4*c_0110_8 - 29/8, c_0101_0 - 1, c_0101_10 - 1/2*c_0110_8^7 + 1/4*c_0110_8^6 - 5/2*c_0110_8^5 + 1/2*c_0110_8^4 - 17/4*c_0110_8^3 - 9/2*c_0110_8^2 - 21/4*c_0110_8 - 11/4, c_0101_11 - 1/8*c_0110_8^7 + 1/8*c_0110_8^6 - 3/4*c_0110_8^5 + 5/8*c_0110_8^4 - 15/8*c_0110_8^3 + 3/8*c_0110_8^2 - 7/4*c_0110_8 + 3/8, c_0101_2 + 3/8*c_0110_8^7 + 3/8*c_0110_8^6 + 5/4*c_0110_8^5 + 21/8*c_0110_8^4 + 11/8*c_0110_8^3 + 71/8*c_0110_8^2 + 7*c_0110_8 + 41/8, c_0101_3 + 1/2*c_0110_8^7 - 1/4*c_0110_8^6 + 5/2*c_0110_8^5 - 1/2*c_0110_8^4 + 17/4*c_0110_8^3 + 9/2*c_0110_8^2 + 21/4*c_0110_8 + 7/4, c_0101_5 - 3/8*c_0110_8^7 - 3/8*c_0110_8^6 - 5/4*c_0110_8^5 - 21/8*c_0110_8^4 - 11/8*c_0110_8^3 - 71/8*c_0110_8^2 - 8*c_0110_8 - 41/8, c_0110_12 - 1/8*c_0110_8^7 - 3/8*c_0110_8^6 - 1/4*c_0110_8^5 - 15/8*c_0110_8^4 + 1/8*c_0110_8^3 - 37/8*c_0110_8^2 - 17/4*c_0110_8 - 29/8, c_0110_8^8 + 5*c_0110_8^6 + c_0110_8^5 + 10*c_0110_8^4 + 12*c_0110_8^3 + 19*c_0110_8^2 + 11*c_0110_8 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.900 Total time: 1.110 seconds, Total memory usage: 32.09MB