Magma V2.19-8 Wed Aug 21 2013 00:51:19 on localhost [Seed = 2732898264] Type ? for help. Type -D to quit. Loading file "L11a298__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a298 geometric_solution 11.05906806 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 1 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 0 1 0 -1 3 0 1 -4 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.433126906456 0.692040227204 0 4 0 5 0132 0132 0213 0132 1 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 0 0 0 0 0 0 0 0 4 -1 -3 -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 0.399656639519 0.265183214298 5 6 7 0 0132 0132 0132 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 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 0.356685396682 0.669240804841 4 8 0 9 0213 0132 0132 0132 1 0 0 0 0 0 0 0 -1 0 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 -1 1 0 -4 0 4 0 1 0 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537078267677 1.131045563252 3 1 10 6 0213 0132 0132 0132 1 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 -4 4 0 -1 0 1 0 4 0 0 -4 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500795484738 1.801019401310 2 11 1 7 0132 0132 0132 0321 1 0 1 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 -3 3 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 1.785212038041 1.699768663926 10 2 4 12 0132 0132 0132 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 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 0.236482789173 0.648287302676 8 5 9 2 2103 0321 0132 0132 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 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 0.537078267677 1.131045563252 9 3 7 9 0213 0132 2103 0321 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 -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 1.152732098634 0.737278273911 8 8 3 7 0213 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.367520060593 0.962490390015 6 11 12 4 0132 1023 0132 0132 1 0 0 1 0 1 0 -1 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 4 0 -4 0 0 1 -1 4 -1 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073172927832 0.579068997358 10 5 12 12 1023 0132 0213 2310 1 1 0 1 0 1 0 -1 -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 3 0 -3 -4 0 0 4 1 0 0 -1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269413280353 1.300529227866 11 11 6 10 3201 0213 0132 0132 1 0 1 1 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 1 0 0 -1 3 0 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.269413280353 1.300529227866 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0011_12'], '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' : negation(d['1']), 's_2_5' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], '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' : d['c_1100_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0011_3'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0101_10'], 's_2_9' : negation(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_12, c_0011_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_1001_0, c_1001_11, c_1001_3, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5423424099/6829828*c_1100_10^7 + 57865235331/32441683*c_1100_10^6 - 122623078027/129766732*c_1100_10^5 + 27673339607/64883366*c_1100_10^4 - 390530377/3414914*c_1100_10^3 - 22967401754/32441683*c_1100_10^2 - 64851249943/129766732*c_1100_10 + 2590606597/64883366, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_12 + 1152046/1707457*c_1100_10^7 - 3161867/1707457*c_1100_10^6 + 2969928/1707457*c_1100_10^5 - 507960/1707457*c_1100_10^4 - 1171854/1707457*c_1100_10^3 - 585100/1707457*c_1100_10^2 + 885094/1707457*c_1100_10 + 226391/1707457, c_0011_3 - 620730/1707457*c_1100_10^7 + 92091/1707457*c_1100_10^6 + 566756/1707457*c_1100_10^5 + 2112713/1707457*c_1100_10^4 - 2803336/1707457*c_1100_10^3 + 2220509/1707457*c_1100_10^2 - 2194996/1707457*c_1100_10 + 361133/1707457, c_0011_7 - 6717830/1707457*c_1100_10^7 + 19973100/1707457*c_1100_10^6 - 19469272/1707457*c_1100_10^5 + 8616621/1707457*c_1100_10^4 - 2251945/1707457*c_1100_10^3 - 1132569/1707457*c_1100_10^2 - 1875572/1707457*c_1100_10 + 140133/1707457, c_0011_9 + 5779610/1707457*c_1100_10^7 - 18403970/1707457*c_1100_10^6 + 23659294/1707457*c_1100_10^5 - 20914279/1707457*c_1100_10^4 + 13869497/1707457*c_1100_10^3 - 4040625/1707457*c_1100_10^2 + 1971229/1707457*c_1100_10 + 634627/1707457, c_0101_0 - 10626738/1707457*c_1100_10^7 + 28691744/1707457*c_1100_10^6 - 20898550/1707457*c_1100_10^5 + 4402250/1707457*c_1100_10^4 - 1871924/1707457*c_1100_10^3 - 3975415/1707457*c_1100_10^2 - 2953236/1707457*c_1100_10 - 1073169/1707457, c_0101_10 - 190209/1707457*c_1100_10^7 + 180150/1707457*c_1100_10^6 - 418374/1707457*c_1100_10^5 + 1363460/1707457*c_1100_10^4 - 654251/1707457*c_1100_10^3 - 1534878/1707457*c_1100_10^2 + 77795/1707457*c_1100_10 - 683173/1707457, c_1001_0 - 1, c_1001_11 + 4289326/1707457*c_1100_10^7 - 9078944/1707457*c_1100_10^6 + 2266026/1707457*c_1100_10^5 + 1487451/1707457*c_1100_10^4 + 928481/1707457*c_1100_10^3 + 790231/1707457*c_1100_10^2 + 2629531/1707457*c_1100_10 + 872191/1707457, c_1001_3 - 10436529/1707457*c_1100_10^7 + 28511594/1707457*c_1100_10^6 - 20480176/1707457*c_1100_10^5 + 3038790/1707457*c_1100_10^4 - 1217673/1707457*c_1100_10^3 - 2440537/1707457*c_1100_10^2 - 3031031/1707457*c_1100_10 - 389996/1707457, c_1100_0 - 5627990/1707457*c_1100_10^7 + 19096444/1707457*c_1100_10^6 - 22131039/1707457*c_1100_10^5 + 12652737/1707457*c_1100_10^4 - 5257385/1707457*c_1100_10^3 - 766481/1707457*c_1100_10^2 - 582133/1707457*c_1100_10 + 1099077/1707457, c_1100_10^8 - 42/19*c_1100_10^7 + 15/19*c_1100_10^6 + 4/19*c_1100_10^5 + 4/19*c_1100_10^4 + 4/19*c_1100_10^3 + 9/19*c_1100_10^2 + 4/19*c_1100_10 + 2/19 ], 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_3, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_1001_0, c_1001_11, c_1001_3, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 25799615/5186136*c_1100_10^9 + 686085175/2593068*c_1100_10^8 - 1080951365/1728712*c_1100_10^7 + 473203816/216089*c_1100_10^6 - 4050193067/1296534*c_1100_10^5 + 3735453770/648267*c_1100_10^4 - 36667370275/5186136*c_1100_10^3 + 19238399489/2593068*c_1100_10^2 - 2489428481/648267*c_1100_10 + 2406266399/1296534, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_12 - 108/769*c_1100_10^9 + 160/769*c_1100_10^8 - 838/769*c_1100_10^7 + 617/769*c_1100_10^6 - 2062/769*c_1100_10^5 + 1238/769*c_1100_10^4 - 2388/769*c_1100_10^3 - 68/769*c_1100_10^2 - 84/769*c_1100_10 + 87/769, c_0011_3 - 472/2307*c_1100_10^9 + 1427/4614*c_1100_10^8 - 3463/2307*c_1100_10^7 + 2073/1538*c_1100_10^6 - 2852/769*c_1100_10^5 + 2582/769*c_1100_10^4 - 3194/769*c_1100_10^3 + 8833/4614*c_1100_10^2 - 1461/769*c_1100_10 + 722/2307, c_0011_7 - 658/2307*c_1100_10^9 + 1459/2307*c_1100_10^8 - 5248/2307*c_1100_10^7 + 2473/769*c_1100_10^6 - 4406/769*c_1100_10^5 + 5913/769*c_1100_10^4 - 5163/769*c_1100_10^3 + 9896/2307*c_1100_10^2 - 1082/769*c_1100_10 + 1769/2307, c_0011_9 - 859/9228*c_1100_10^9 + 2953/9228*c_1100_10^8 - 7363/9228*c_1100_10^7 + 4999/3076*c_1100_10^6 - 2807/1538*c_1100_10^5 + 5085/1538*c_1100_10^4 - 8097/3076*c_1100_10^3 + 4301/9228*c_1100_10^2 - 134/769*c_1100_10 + 613/4614, c_0101_0 - 586/2307*c_1100_10^9 + 1096/2307*c_1100_10^8 - 3664/2307*c_1100_10^7 + 1396/769*c_1100_10^6 - 2068/769*c_1100_10^5 + 3160/769*c_1100_10^4 - 1300/769*c_1100_10^3 - 1081/2307*c_1100_10^2 - 38/769*c_1100_10 + 173/2307, c_0101_10 - 293/2307*c_1100_10^9 + 548/2307*c_1100_10^8 - 1832/2307*c_1100_10^7 + 698/769*c_1100_10^6 - 1034/769*c_1100_10^5 + 1580/769*c_1100_10^4 - 650/769*c_1100_10^3 - 1694/2307*c_1100_10^2 - 19/769*c_1100_10 - 1067/2307, c_1001_0 - 1, c_1001_11 + 658/2307*c_1100_10^9 - 1459/2307*c_1100_10^8 + 5248/2307*c_1100_10^7 - 2473/769*c_1100_10^6 + 4406/769*c_1100_10^5 - 5913/769*c_1100_10^4 + 5163/769*c_1100_10^3 - 9896/2307*c_1100_10^2 + 1851/769*c_1100_10 - 1769/2307, c_1001_3 - 293/2307*c_1100_10^9 + 548/2307*c_1100_10^8 - 1832/2307*c_1100_10^7 + 698/769*c_1100_10^6 - 1034/769*c_1100_10^5 + 1580/769*c_1100_10^4 - 650/769*c_1100_10^3 + 613/2307*c_1100_10^2 - 19/769*c_1100_10 + 1240/2307, c_1100_0 + 143/2307*c_1100_10^9 + 16/2307*c_1100_10^8 + 839/2307*c_1100_10^7 + 200/769*c_1100_10^6 + 649/769*c_1100_10^5 + 759/769*c_1100_10^4 + 228/769*c_1100_10^3 + 6299/2307*c_1100_10^2 + 151/769*c_1100_10 + 3623/2307, c_1100_10^10 - 2*c_1100_10^9 + 8*c_1100_10^8 - 10*c_1100_10^7 + 21*c_1100_10^6 - 24*c_1100_10^5 + 27*c_1100_10^4 - 14*c_1100_10^3 + 11*c_1100_10^2 - 2*c_1100_10 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB