Magma V2.19-8 Tue Aug 20 2013 23:38:23 on localhost [Seed = 1410478193] Type ? for help. Type -D to quit. Loading file "K14n12461__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n12461 geometric_solution 9.03549480 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 18 -17 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654854922833 0.957847430461 0 5 2 4 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450474538511 0.257843238904 6 0 1 7 0132 0132 1023 0132 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 17 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.392260072462 1.266002397114 4 6 8 0 1023 3201 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 -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 0.421224994528 0.421927037016 8 3 0 1 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.436056128804 1.259418907895 9 1 9 6 0132 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539679929002 0.698079356493 2 7 3 5 0132 3120 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.539679929002 0.698079356493 9 6 2 8 3012 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435737500493 0.483707122343 4 9 7 3 0132 2103 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 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 0.629122576562 1.585431753188 5 8 5 7 0132 2103 0321 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 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 0.539679929002 0.698079356493 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : negation(d['c_0011_0']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_8'], 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_6']), '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'], '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_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0101_1'], '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_0101_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_8'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_8, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4906493361/67725277*c_1100_0^10 + 21420720117/67725277*c_1100_0^9 + 26966724227/67725277*c_1100_0^8 + 29216144699/67725277*c_1100_0^7 + 51168753175/67725277*c_1100_0^6 + 597056500/67725277*c_1100_0^5 - 37145240310/67725277*c_1100_0^4 - 51290148883/67725277*c_1100_0^3 + 64209093036/67725277*c_1100_0^2 - 10910222430/67725277*c_1100_0 - 2593240801/67725277, c_0011_0 - 1, c_0011_3 + 46578993/67725277*c_1100_0^10 + 199917404/67725277*c_1100_0^9 + 241269651/67725277*c_1100_0^8 + 255136685/67725277*c_1100_0^7 + 445508317/67725277*c_1100_0^6 - 60807840/67725277*c_1100_0^5 - 379623834/67725277*c_1100_0^4 - 496832920/67725277*c_1100_0^3 + 646779760/67725277*c_1100_0^2 - 103661096/67725277*c_1100_0 + 7332313/67725277, c_0011_7 + 227424528/67725277*c_1100_0^10 + 1081805616/67725277*c_1100_0^9 + 1675973512/67725277*c_1100_0^8 + 2016888830/67725277*c_1100_0^7 + 3143692737/67725277*c_1100_0^6 + 1196285927/67725277*c_1100_0^5 - 1359106535/67725277*c_1100_0^4 - 3118499392/67725277*c_1100_0^3 + 1510326617/67725277*c_1100_0^2 - 61812057/67725277*c_1100_0 - 47125466/67725277, c_0101_0 + 3830526/67725277*c_1100_0^10 + 1654497/67725277*c_1100_0^9 - 58488583/67725277*c_1100_0^8 - 132262115/67725277*c_1100_0^7 - 186693660/67725277*c_1100_0^6 - 340627007/67725277*c_1100_0^5 - 279599099/67725277*c_1100_0^4 - 86506830/67725277*c_1100_0^3 + 208531630/67725277*c_1100_0^2 + 26893894/67725277*c_1100_0 + 33732641/67725277, c_0101_1 + 97565757/67725277*c_1100_0^10 + 490611926/67725277*c_1100_0^9 + 851711510/67725277*c_1100_0^8 + 1097021995/67725277*c_1100_0^7 + 1658600286/67725277*c_1100_0^6 + 977208392/67725277*c_1100_0^5 - 302746070/67725277*c_1100_0^4 - 1354514853/67725277*c_1100_0^3 + 308501018/67725277*c_1100_0^2 + 74907357/67725277*c_1100_0 - 60624369/67725277, c_0101_2 + 137199741/67725277*c_1100_0^10 + 680268002/67725277*c_1100_0^9 + 1152032654/67725277*c_1100_0^8 + 1474645370/67725277*c_1100_0^7 + 2253795910/67725277*c_1100_0^6 + 1266066822/67725277*c_1100_0^5 - 422840095/67725277*c_1100_0^4 - 1836244975/67725277*c_1100_0^3 + 614764199/67725277*c_1100_0^2 + 67272216/67725277*c_1100_0 - 103192661/67725277, c_0101_6 - 137199741/67725277*c_1100_0^10 - 680268002/67725277*c_1100_0^9 - 1152032654/67725277*c_1100_0^8 - 1474645370/67725277*c_1100_0^7 - 2253795910/67725277*c_1100_0^6 - 1266066822/67725277*c_1100_0^5 + 422840095/67725277*c_1100_0^4 + 1836244975/67725277*c_1100_0^3 - 614764199/67725277*c_1100_0^2 - 67272216/67725277*c_1100_0 + 103192661/67725277, c_0101_8 + 46578993/67725277*c_1100_0^10 + 199917404/67725277*c_1100_0^9 + 241269651/67725277*c_1100_0^8 + 255136685/67725277*c_1100_0^7 + 445508317/67725277*c_1100_0^6 - 60807840/67725277*c_1100_0^5 - 379623834/67725277*c_1100_0^4 - 496832920/67725277*c_1100_0^3 + 646779760/67725277*c_1100_0^2 - 103661096/67725277*c_1100_0 + 7332313/67725277, c_1001_0 - 123874350/67725277*c_1100_0^10 - 591367283/67725277*c_1100_0^9 - 929237331/67725277*c_1100_0^8 - 1156244223/67725277*c_1100_0^7 - 1841365795/67725277*c_1100_0^6 - 850686047/67725277*c_1100_0^5 + 495749771/67725277*c_1100_0^4 + 1438340831/67725277*c_1100_0^3 - 927333344/67725277*c_1100_0^2 + 103745341/67725277*c_1100_0 + 126504366/67725277, c_1100_0^11 + 13/3*c_1100_0^10 + 16/3*c_1100_0^9 + 17/3*c_1100_0^8 + 10*c_1100_0^7 - 2/3*c_1100_0^6 - 25/3*c_1100_0^5 - 11*c_1100_0^4 + 38/3*c_1100_0^3 - 3*c_1100_0^2 - 2/3*c_1100_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB