Magma V2.19-8 Tue Aug 20 2013 18:07:35 on localhost [Seed = 4290659595] Type ? for help. Type -D to quit. Loading file "10_106__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_106 geometric_solution 13.93301899 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 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 1 -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 0.695809822865 0.614694558812 0 2 6 5 0132 0321 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 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014782002710 0.454321264587 7 0 8 1 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599448477032 0.882042863344 9 5 10 0 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 -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 0.516350105798 1.526615286612 11 12 0 12 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477712422965 0.559957797443 6 3 1 12 2103 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.553870899767 0.952643205676 11 13 5 1 3120 0132 2103 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 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 0.647355434318 0.558541259066 2 14 10 8 0132 0132 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492745622128 0.375923366336 7 12 14 2 3201 0321 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527545566330 1.353319047227 3 13 11 11 0132 1302 3120 3201 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 -1 5 -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 0 0 0.259753269269 0.551821995405 13 14 7 3 0321 3012 1023 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016434836571 0.919114825938 4 9 9 6 0132 2310 3120 3120 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 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868352380818 0.647319229664 4 4 5 8 3012 0132 2031 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890763390748 0.955010090719 10 6 14 9 0321 0132 1230 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892070102273 0.829785974261 10 7 8 13 1230 0132 1023 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 0 0 1 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 0.776153527655 1.305294870918 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_14' : negation(d['c_0101_2']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_0'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_14']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_14'], 'c_1010_13' : negation(d['c_0011_3']), 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0011_13'], 'c_1010_10' : negation(d['c_0101_14']), 'c_1010_14' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_0011_14' : negation(d['c_0011_0']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0101_12'], 'c_1100_0' : negation(d['c_0011_8']), 'c_1100_3' : negation(d['c_0011_8']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0011_8']), 'c_1100_13' : d['c_0011_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_14']), 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1100_14' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : d['c_0101_14'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), '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_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_13']), 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0110_14' : d['c_0011_10'], 'c_1010_4' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_13']), '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_0'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_13']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_1'], 'c_0101_13' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_14, c_0101_2, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 94/19*c_1001_2^6 + 82/19*c_1001_2^5 - 666/19*c_1001_2^4 - 1189/19*c_1001_2^3 - 42*c_1001_2^2 - 1014/19*c_1001_2 - 862/19, c_0011_0 - 1, c_0011_10 + 61/19*c_1001_2^6 + 34/19*c_1001_2^5 - 472/19*c_1001_2^4 - 606/19*c_1001_2^3 - 66/19*c_1001_2^2 - 568/19*c_1001_2 - 43, c_0011_11 + 9/19*c_1001_2^6 - 9/19*c_1001_2^5 - 55/19*c_1001_2^4 - 5/19*c_1001_2^3 - 6/19*c_1001_2^2 - 62/19*c_1001_2, c_0011_13 + 9/19*c_1001_2^6 - 9/19*c_1001_2^5 - 55/19*c_1001_2^4 - 5/19*c_1001_2^3 - 6/19*c_1001_2^2 - 81/19*c_1001_2, c_0011_3 - 1/19*c_1001_2^6 - 18/19*c_1001_2^5 + 23/19*c_1001_2^4 + 123/19*c_1001_2^3 + 7/19*c_1001_2^2 + 28/19*c_1001_2 + 9, c_0011_8 + 9/19*c_1001_2^6 - 9/19*c_1001_2^5 - 55/19*c_1001_2^4 - 5/19*c_1001_2^3 - 6/19*c_1001_2^2 - 62/19*c_1001_2 - 1, c_0101_0 - 42/19*c_1001_2^6 - 15/19*c_1001_2^5 + 320/19*c_1001_2^4 + 359/19*c_1001_2^3 + 28/19*c_1001_2^2 + 397/19*c_1001_2 + 25, c_0101_1 + 27/19*c_1001_2^6 + 11/19*c_1001_2^5 - 203/19*c_1001_2^4 - 243/19*c_1001_2^3 - 37/19*c_1001_2^2 - 262/19*c_1001_2 - 17, c_0101_10 - 59/19*c_1001_2^6 - 17/19*c_1001_2^5 + 445/19*c_1001_2^4 + 474/19*c_1001_2^3 + 52/19*c_1001_2^2 + 569/19*c_1001_2 + 34, c_0101_12 + 28/19*c_1001_2^6 + 10/19*c_1001_2^5 - 207/19*c_1001_2^4 - 252/19*c_1001_2^3 - 44/19*c_1001_2^2 - 252/19*c_1001_2 - 18, c_0101_14 + c_1001_2^6 - 7*c_1001_2^4 - 7*c_1001_2^3 - c_1001_2^2 - 8*c_1001_2 - 10, c_0101_2 + 51/19*c_1001_2^6 + 25/19*c_1001_2^5 - 394/19*c_1001_2^4 - 478/19*c_1001_2^3 - 53/19*c_1001_2^2 - 478/19*c_1001_2 - 33, c_1001_0 - 68/19*c_1001_2^6 - 8/19*c_1001_2^5 + 500/19*c_1001_2^4 + 479/19*c_1001_2^3 + 58/19*c_1001_2^2 + 631/19*c_1001_2 + 34, c_1001_1 + 87/19*c_1001_2^6 + 27/19*c_1001_2^5 - 652/19*c_1001_2^4 - 726/19*c_1001_2^3 - 96/19*c_1001_2^2 - 821/19*c_1001_2 - 52, c_1001_2^7 + 2*c_1001_2^6 - 7*c_1001_2^5 - 21*c_1001_2^4 - 15*c_1001_2^3 - 11*c_1001_2^2 - 27*c_1001_2 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2730.750 Total time: 2730.949 seconds, Total memory usage: 4882.41MB