Magma V2.19-8 Tue Aug 20 2013 23:52:11 on localhost [Seed = 3448481533] Type ? for help. Type -D to quit. Loading file "L13n150__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n150 geometric_solution 11.07964311 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 2 0132 0213 0132 0321 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 -11 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431668537767 1.094190044941 0 3 0 4 0132 0132 0213 0132 1 1 1 1 0 1 0 -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 -10 -1 11 0 0 0 0 11 0 0 -11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688008247741 0.790834261843 3 0 5 0 0132 0321 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 10 0 0 -10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688008247741 0.790834261843 2 1 6 4 0132 0132 0132 0213 1 1 1 1 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 10 -10 0 0 0 0 0 1 -1 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150461044880 0.609218612348 6 7 1 3 0132 0132 0132 0213 1 1 1 1 0 -1 1 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 11 -11 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033320179357 0.666576559909 7 8 9 2 0132 0132 0132 0132 1 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601807577831 0.577589962809 4 10 7 3 0132 0132 0321 0132 1 1 1 1 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 0 0 0 -10 0 10 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068770055699 1.099692184220 5 4 6 11 0132 0132 0321 0132 1 1 1 1 0 1 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 0 0 0 0 -11 0 11 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514118609972 0.386323119124 10 5 9 10 0132 0132 0321 2103 1 0 1 1 0 0 0 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 1 0 -1 0 0 1 -1 -10 0 0 10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203615155663 1.155179925618 11 11 8 5 0132 1302 0321 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 -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 -11 0 11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567531839725 0.415065010496 8 6 11 8 0132 0132 0213 2103 1 0 1 1 0 -1 0 1 -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 10 0 -10 0 0 -1 1 -1 0 0 1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203615155663 1.155179925618 9 10 7 9 0132 0213 0132 2031 1 1 0 1 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 0 -11 11 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 1.203615155663 1.155179925618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_1001_2'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_1001_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_8']), 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1001_10, c_1001_2, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5904999/1588223*c_1001_7^5 + 8392567/453778*c_1001_7^4 + 35178001/453778*c_1001_7^3 + 559278485/3176446*c_1001_7^2 + 267676891/1588223*c_1001_7 + 10616017/1588223, c_0011_0 - 1, c_0011_10 - 640/7319*c_1001_7^5 - 254/563*c_1001_7^4 - 14012/7319*c_1001_7^3 - 30483/7319*c_1001_7^2 - 35693/7319*c_1001_7 + 1289/7319, c_0011_11 + 1, c_0101_0 + 487/7319*c_1001_7^5 + 188/563*c_1001_7^4 + 10708/7319*c_1001_7^3 + 25723/7319*c_1001_7^2 + 30488/7319*c_1001_7 - 329/7319, c_0101_11 + 28/7319*c_1001_7^5 - 10/563*c_1001_7^4 + 796/7319*c_1001_7^3 - 3195/7319*c_1001_7^2 + 235/7319*c_1001_7 - 12087/7319, c_0101_2 + 946/7319*c_1001_7^5 + 386/563*c_1001_7^4 + 20620/7319*c_1001_7^3 + 47322/7319*c_1001_7^2 + 46103/7319*c_1001_7 + 4110/7319, c_0101_8 - 1, c_1001_0 - 464/7319*c_1001_7^5 - 156/563*c_1001_7^4 - 7963/7319*c_1001_7^3 - 16062/7319*c_1001_7^2 - 7031/7319*c_1001_7 + 4777/7319, c_1001_10 + 306/7319*c_1001_7^5 + 132/563*c_1001_7^4 + 6608/7319*c_1001_7^3 + 16839/7319*c_1001_7^2 + 17729/7319*c_1001_7 + 5399/7319, c_1001_2 - 306/7319*c_1001_7^5 - 132/563*c_1001_7^4 - 6608/7319*c_1001_7^3 - 16839/7319*c_1001_7^2 - 17729/7319*c_1001_7 - 5399/7319, c_1001_5 - 334/7319*c_1001_7^5 - 122/563*c_1001_7^4 - 7404/7319*c_1001_7^3 - 13644/7319*c_1001_7^2 - 17964/7319*c_1001_7 + 6688/7319, c_1001_7^6 + 5*c_1001_7^5 + 21*c_1001_7^4 + 48*c_1001_7^3 + 47*c_1001_7^2 + 4*c_1001_7 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_11, c_0101_2, c_0101_8, c_1001_0, c_1001_10, c_1001_2, c_1001_5, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 97677208/75834225*c_1001_7^6 - 494346461/75834225*c_1001_7^5 - 1618545013/151668450*c_1001_7^4 - 522242327/50556150*c_1001_7^3 - 254516791/10111230*c_1001_7^2 - 3452999021/75834225*c_1001_7 - 2174970949/75834225, c_0011_0 - 1, c_0011_10 + 808/4617*c_1001_7^6 + 2024/4617*c_1001_7^5 + 1046/4617*c_1001_7^4 + 628/1539*c_1001_7^3 + 3229/1539*c_1001_7^2 + 3647/4617*c_1001_7 - 7709/4617, c_0011_11 - 1, c_0101_0 + 1678/4617*c_1001_7^6 + 4889/4617*c_1001_7^5 + 1418/4617*c_1001_7^4 + 1228/1539*c_1001_7^3 + 6961/1539*c_1001_7^2 + 11768/4617*c_1001_7 - 14741/4617, c_0101_11 - 64/57*c_1001_7^6 - 140/57*c_1001_7^5 - 14/57*c_1001_7^4 - 52/19*c_1001_7^3 - 195/19*c_1001_7^2 - 233/57*c_1001_7 + 443/57, c_0101_2 - 460/1539*c_1001_7^6 - 878/1539*c_1001_7^5 + 334/1539*c_1001_7^4 - 388/513*c_1001_7^3 - 1018/513*c_1001_7^2 + 217/1539*c_1001_7 + 2126/1539, c_0101_8 - 1, c_1001_0 + 2192/4617*c_1001_7^6 + 5308/4617*c_1001_7^5 + 1192/4617*c_1001_7^4 + 2237/1539*c_1001_7^3 + 7358/1539*c_1001_7^2 + 9391/4617*c_1001_7 - 10171/4617, c_1001_10 - 2188/4617*c_1001_7^6 - 4658/4617*c_1001_7^5 - 44/4617*c_1001_7^4 - 1792/1539*c_1001_7^3 - 6283/1539*c_1001_7^2 - 7613/4617*c_1001_7 + 14087/4617, c_1001_2 + 2188/4617*c_1001_7^6 + 4658/4617*c_1001_7^5 + 44/4617*c_1001_7^4 + 1792/1539*c_1001_7^3 + 6283/1539*c_1001_7^2 + 7613/4617*c_1001_7 - 14087/4617, c_1001_5 + 2996/4617*c_1001_7^6 + 6682/4617*c_1001_7^5 + 1090/4617*c_1001_7^4 + 2420/1539*c_1001_7^3 + 9512/1539*c_1001_7^2 + 11260/4617*c_1001_7 - 21796/4617, c_1001_7^7 + 9/2*c_1001_7^6 + 11/2*c_1001_7^5 + 7/2*c_1001_7^4 + 15*c_1001_7^3 + 49/2*c_1001_7^2 + 3*c_1001_7 - 25/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB