Magma V2.19-8 Wed Aug 21 2013 01:06:14 on localhost [Seed = 2227346526] Type ? for help. Type -D to quit. Loading file "L14n31171__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n31171 geometric_solution 11.77118904 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 0 -1 -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 -1 0 1 -3 0 1 2 -1 0 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352375719806 0.874099966878 0 5 7 6 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 -1 0 1 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 -1 3 -2 3 0 -3 0 2 -1 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564952701263 0.892214805674 8 0 9 6 0132 0132 0132 2031 1 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 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 0.984112533747 1.092929630659 10 4 11 0 0132 2031 0132 0132 1 0 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 1 0 0 -1 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523124295200 1.008118329145 3 8 0 5 1302 3120 0132 3120 1 0 1 1 0 0 0 0 0 0 1 -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 -1 1 0 0 -2 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 0.603278514515 0.984103665010 4 1 12 9 3120 0132 0132 1302 0 0 1 1 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 1 -1 0 -2 0 0 2 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564952701263 0.892214805674 8 2 1 9 3120 1302 0132 3120 0 0 1 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 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 0.555859374303 0.598543981436 10 11 10 1 1230 2031 2031 0132 0 0 1 0 0 0 -1 1 1 0 0 -1 -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 3 -3 -3 0 0 3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285222297028 0.449252008549 2 4 12 6 0132 3120 3012 3120 1 0 1 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 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 0.337002350385 0.598005833349 6 11 5 2 3120 0132 2031 0132 1 0 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 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529217587245 0.323798609425 3 7 12 7 0132 3012 1023 1302 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 3 0 -3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485227025419 0.144872726878 7 9 12 3 1302 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883666002228 0.772642744039 11 8 10 5 2103 1230 1023 0132 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 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 0.793507989123 0.688944194888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : d['c_0101_0'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], '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_0101_8'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], '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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 338122408513/9719040675*c_0101_8^6*c_0110_4 + 57051330278/3239680225*c_0101_8^6 + 1049954236608/3239680225*c_0101_8^5*c_0110_4 - 3350783790443/9719040675*c_0101_8^5 - 895915907111/3239680225*c_0101_8^4*c_0110_4 + 2508065751331/9719040675*c_0101_8^4 - 1910399011009/9719040675*c_0101_8^3*c_0110_4 + 1120467481296/3239680225*c_0101_8^3 + 1982228584738/9719040675*c_0101_8^2*c_0110_4 - 1475689542541/9719040675*c_0101_8^2 - 193638741199/9719040675*c_0101_8*c_0110_4 - 234219064344/3239680225*c_0101_8 - 273738182363/9719040675*c_0110_4 - 217500413753/3239680225, c_0011_0 - 1, c_0011_10 - 21309/206021*c_0101_8^6*c_0110_4 + 175937/206021*c_0101_8^6 + 1922281/206021*c_0101_8^5*c_0110_4 + 931499/206021*c_0101_8^5 - 802167/206021*c_0101_8^4*c_0110_4 + 101395/206021*c_0101_8^4 - 2595975/206021*c_0101_8^3*c_0110_4 - 696613/206021*c_0101_8^3 + 524950/206021*c_0101_8^2*c_0110_4 - 551185/206021*c_0101_8^2 + 935932/206021*c_0101_8*c_0110_4 + 44208/206021*c_0101_8 + 268609/206021*c_0110_4 + 296790/206021, c_0011_11 + c_0101_8*c_0110_4, c_0011_12 + 63623590/71901329*c_0101_8^6*c_0110_4 + 49392511/71901329*c_0101_8^6 + 807111177/71901329*c_0101_8^5*c_0110\ _4 - 530914963/71901329*c_0101_8^5 - 158910213/71901329*c_0101_8^4*c_0110_4 + 391909286/71901329*c_0101_8^4 - 968490549/71901329*c_0101_8^3*c_011\ 0_4 + 853443829/71901329*c_0101_8^3 - 95442289/71901329*c_0101_8^2*c_0110_4 - 397660237/71901329*c_0101_8^2 + 315051785/71901329*c_0101_8*c_0110_\ 4 - 357935042/71901329*c_0101_8 + 199312306/71901329*c_0110_4 - 30923898/71901329, c_0011_4 + 13509727/71901329*c_0101_8^6*c_0110_4 - 22490450/71901329*c_0101_8^6 - 205073905/71901329*c_0101_8^5*c_0110\ _4 - 228137976/71901329*c_0101_8^5 + 264707162/71901329*c_0101_8^4*c_0110_4 + 102883847/71901329*c_0101_8^4 + 196588137/71901329*c_0101_8^3*c_011\ 0_4 + 273751954/71901329*c_0101_8^3 - 206468614/71901329*c_0101_8^2*c_0110_4 - 63865392/71901329*c_0101_8^2 - 65955360/71901329*c_0101_8*c_0110_4 - 142813654/71901329*c_0101_8 + 4005767/71901329*c_0110_4 + 11174480/71901329, c_0011_7 - 128266/206021*c_0101_8^6*c_0110_4 + 168306/206021*c_0101_8^6 + 1432732/206021*c_0101_8^5*c_0110_4 + 2047382/206021*c_0101_8^5 - 1668266/206021*c_0101_8^4*c_0110_4 - 826325/206021*c_0101_8^4 - 1640746/206021*c_0101_8^3*c_0110_4 - 2185242/206021*c_0101_8^3 + 1339954/206021*c_0101_8^2*c_0110_4 - 84555/206021*c_0101_8^2 + 649834/206021*c_0101_8*c_0110_4 + 673649/206021*c_0101_8 + 65014/206021*c_0110_4 + 403095/206021, c_0101_0 - 1, c_0101_2 - 58077/206021*c_0101_8^6*c_0110_4 + 81507/206021*c_0101_8^6 + 727450/206021*c_0101_8^5*c_0110_4 + 988639/206021*c_0101_8^5 - 261929/206021*c_0101_8^4*c_0110_4 - 437691/206021*c_0101_8^4 - 1294042/206021*c_0101_8^3*c_0110_4 - 713867/206021*c_0101_8^3 + 94716/206021*c_0101_8^2*c_0110_4 - 22877/206021*c_0101_8^2 + 449311/206021*c_0101_8*c_0110_4 + 99314/206021*c_0101_8 + 100303/206021*c_0110_4 + 168524/206021, c_0101_3 + 7423/206021*c_0101_8^6*c_0110_4 - 60872/206021*c_0101_8^6 - 674829/206021*c_0101_8^5*c_0110_4 - 273343/206021*c_0101_8^5 + 811180/206021*c_0101_8^4*c_0110_4 + 283780/206021*c_0101_8^4 + 831043/206021*c_0101_8^3*c_0110_4 + 247954/206021*c_0101_8^3 - 672216/206021*c_0101_8^2*c_0110_4 + 293706/206021*c_0101_8^2 - 550162/206021*c_0101_8*c_0110_4 - 197927/206021*c_0101_8 - 83051/206021*c_0110_4 - 231037/206021, c_0101_5 - 175937/206021*c_0101_8^6*c_0110_4 - 21309/206021*c_0101_8^6 - 931499/206021*c_0101_8^5*c_0110_4 + 1922281/206021*c_0101_8^5 - 101395/206021*c_0101_8^4*c_0110_4 - 802167/206021*c_0101_8^4 + 696613/206021*c_0101_8^3*c_0110_4 - 2595975/206021*c_0101_8^3 + 551185/206021*c_0101_8^2*c_0110_4 + 524950/206021*c_0101_8^2 - 44208/206021*c_0101_8*c_0110_4 + 935932/206021*c_0101_8 - 296790/206021*c_0110_4 + 268609/206021, c_0101_7 + 72210/206021*c_0101_8^6*c_0110_4 - 6648/206021*c_0101_8^6 + 205372/206021*c_0101_8^5*c_0110_4 - 847682/206021*c_0101_8^5 + 133781/206021*c_0101_8^4*c_0110_4 + 348079/206021*c_0101_8^4 + 157232/206021*c_0101_8^3*c_0110_4 + 1010939/206021*c_0101_8^3 - 295627/206021*c_0101_8^2*c_0110_4 - 104955/206021*c_0101_8^2 + 10746/206021*c_0101_8*c_0110_4 - 294948/206021*c_0101_8 + 21309/206021*c_0110_4 - 175937/206021, c_0101_8^7 + 11*c_0101_8^6*c_0110_4 + 4*c_0101_8^6 - 5*c_0101_8^5*c_0110_4 + 6*c_0101_8^5 - 16*c_0101_8^4*c_0110_4 - 4*c_0101_8^4 + c_0101_8^3*c_0110_4 - 9*c_0101_8^3 + 7*c_0101_8^2*c_0110_4 + 3*c_0101_8*c_0110_4 + 3*c_0101_8 + 1, c_0110_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.320 Total time: 4.540 seconds, Total memory usage: 64.12MB