Magma V2.19-8 Wed Aug 21 2013 01:09:28 on localhost [Seed = 1377061844] Type ? for help. Type -D to quit. Loading file "L14n46777__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46777 geometric_solution 12.55175922 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 1 2 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 -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 0.368049171830 0.372053355022 0 5 6 3 0132 0132 0132 0132 2 1 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959953613500 1.098790431595 4 0 3 3 1023 0132 3201 2031 2 2 2 1 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 1 -1 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 0.288136230968 0.986381244707 2 2 1 0 2310 1302 0132 0132 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288136230968 0.986381244707 6 2 0 5 0132 1023 0132 0132 2 1 2 1 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 -1 1 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 0.959953613500 1.098790431595 7 1 4 8 0132 0132 0132 0132 2 1 1 2 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588534362604 0.588400145352 4 7 8 1 0132 0132 0132 0132 2 1 1 2 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 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588534362604 0.588400145352 5 6 10 9 0132 0132 0132 0132 2 1 2 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 -1 0 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 0.754216914008 1.010785258983 11 12 5 6 0132 0132 0132 0132 2 1 2 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 1 -1 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 0.754216914008 1.010785258983 11 12 7 11 2103 0213 0132 3201 2 1 0 2 0 1 0 -1 0 0 0 0 3 -2 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 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399203736729 0.795962198711 11 12 12 7 3120 0321 3201 0132 2 1 1 0 0 -1 1 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 0 0 0 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399203736729 0.795962198711 8 9 9 10 0132 2310 2103 3120 0 1 1 2 0 1 -3 2 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 -1 2 -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 0.399203736729 0.795962198711 10 8 9 10 2310 0132 0213 0321 2 0 1 2 0 0 -1 1 -2 0 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 0 -1 1 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 0.399203736729 0.795962198711 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_2'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_2, c_1001_1, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 327797/19547550*c_1001_12^3 - 5197/390951*c_1001_12^2 + 885491/3257925*c_1001_12 - 7816951/19547550, c_0011_0 - 1, c_0011_10 + 1/1077*c_1001_12^3 + 74/1077*c_1001_12^2 + 61/359*c_1001_12 + 775/1077, c_0011_11 + 20/359*c_1001_12^3 + 44/359*c_1001_12^2 + 70/359*c_1001_12 + 422/359, c_0011_3 + 5/359*c_1001_12^3 + 11/359*c_1001_12^2 + 197/359*c_1001_12 + 285/359, c_0011_9 - 1, c_0101_0 + 19/359*c_1001_12^3 - 30/359*c_1001_12^2 + 246/359*c_1001_12 - 353/359, c_0101_1 - 1, c_0101_11 - 5/359*c_1001_12^3 - 11/359*c_1001_12^2 - 197/359*c_1001_12 + 433/359, c_0101_7 - 71/1077*c_1001_12^3 + 131/1077*c_1001_12^2 - 382/359*c_1001_12 + 979/1077, c_0110_2 + 29/359*c_1001_12^3 - 8/359*c_1001_12^2 + 281/359*c_1001_12 - 501/359, c_1001_1 - 5/359*c_1001_12^3 - 11/359*c_1001_12^2 - 197/359*c_1001_12 + 433/359, c_1001_12^4 - c_1001_12^3 + 18*c_1001_12^2 - 26*c_1001_12 + 33, c_1100_0 + 1 ], 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_7, c_0110_2, c_1001_1, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 25505/25984*c_1001_12^4 + 58011/25984*c_1001_12^3 - 57887/3712*c_1001_12^2 + 475829/25984*c_1001_12 - 48255/25984, c_0011_0 - 1, c_0011_10 - 33/812*c_1001_12^4 - 1/812*c_1001_12^3 - 63/116*c_1001_12^2 - 527/812*c_1001_12 + 485/812, c_0011_11 - 67/203*c_1001_12^4 + 121/203*c_1001_12^3 - 149/29*c_1001_12^2 + 837/203*c_1001_12 + 185/203, c_0011_3 + 72/203*c_1001_12^4 - 127/203*c_1001_12^3 + 148/29*c_1001_12^2 - 751/203*c_1001_12 - 320/203, c_0011_9 - 1, c_0101_0 + 57/203*c_1001_12^4 - 109/203*c_1001_12^3 + 122/29*c_1001_12^2 - 806/203*c_1001_12 - 321/203, c_0101_1 - 1, c_0101_11 - 6/29*c_1001_12^4 + 13/29*c_1001_12^3 - 96/29*c_1001_12^2 + 94/29*c_1001_12 + 17/29, c_0101_7 - 97/406*c_1001_12^4 + 157/406*c_1001_12^3 - 201/58*c_1001_12^2 + 727/406*c_1001_12 + 589/406, c_0110_2 + 25/203*c_1001_12^4 - 30/203*c_1001_12^3 + 53/29*c_1001_12^2 - 179/203*c_1001_12 - 472/203, c_1001_1 - 6/29*c_1001_12^4 + 13/29*c_1001_12^3 - 96/29*c_1001_12^2 + 94/29*c_1001_12 + 17/29, c_1001_12^5 - 3*c_1001_12^4 + 17*c_1001_12^3 - 29*c_1001_12^2 + 7*c_1001_12 + 8, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB