Magma V2.19-8 Tue Aug 20 2013 23:53:19 on localhost [Seed = 1562064561] Type ? for help. Type -D to quit. Loading file "L13n562__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n562 geometric_solution 10.31877867 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 3201 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.529430309303 1.258942806127 0 0 4 4 0132 2310 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416374955787 0.519814252654 5 0 6 5 0132 0132 0132 2103 1 1 1 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 1 0 -1 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 7 5 5 0 0132 1230 2310 0132 1 1 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 -5 0 5 0 4 0 0 -4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 7 1 1 6 2103 3201 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771762167140 0.576028169355 2 3 3 2 0132 3201 3012 2103 1 1 1 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 0 -1 -1 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.029161079749 0.552004555911 8 4 9 2 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.894453693413 1.048644223277 3 10 4 11 0132 0132 2103 0132 1 1 1 1 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 0 0 0 5 0 0 -5 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894453693413 1.048644223277 6 11 9 10 0132 2310 3120 1302 0 1 1 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 1 -1 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 -0.047717530387 0.903268822606 11 10 8 6 1302 0321 3120 0132 1 1 1 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 1 0 -1 -1 0 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 0.952282469613 0.903268822606 11 7 8 9 0213 0132 2031 0321 1 0 1 1 0 0 0 0 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 0 1 -1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952282469613 0.903268822606 10 9 7 8 0213 2031 0132 3201 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 0 5 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047717530387 0.903268822606 ==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' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_4'], '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_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : 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_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : 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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], '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_11']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_6'], '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_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0011_11']})} 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_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 4960768323/96076805*c_1001_1^5 - 4637203421/96076805*c_1001_1^4 - 1296371400/19215361*c_1001_1^3 + 5229203033/96076805*c_1001_1^2 + 1450615447/38430722*c_1001_1 - 2112515331/192153610, c_0011_0 - 1, c_0011_10 + 42294/7309*c_1001_1^5 - 42122/7309*c_1001_1^4 - 38616/7309*c_1001_1^3 + 36575/7309*c_1001_1^2 + 17483/7309*c_1001_1 - 4055/7309, c_0011_11 - 1, c_0011_4 + 68544/7309*c_1001_1^5 - 70704/7309*c_1001_1^4 - 91616/7309*c_1001_1^3 + 89201/7309*c_1001_1^2 + 36601/7309*c_1001_1 - 20297/7309, c_0011_6 - 153132/7309*c_1001_1^5 + 154948/7309*c_1001_1^4 + 168848/7309*c_1001_1^3 - 162351/7309*c_1001_1^2 - 71567/7309*c_1001_1 + 28407/7309, c_0011_9 + 1, c_0101_0 + c_1001_1, c_0101_1 + 8841/7309*c_1001_1^5 - 9872/7309*c_1001_1^4 - 20774/7309*c_1001_1^3 + 30331/7309*c_1001_1^2 + 13210/7309*c_1001_1 - 12791/7309, c_0101_2 + 42294/7309*c_1001_1^5 - 42122/7309*c_1001_1^4 - 38616/7309*c_1001_1^3 + 36575/7309*c_1001_1^2 + 17483/7309*c_1001_1 - 4055/7309, c_0101_5 - 8484/7309*c_1001_1^5 - 3287/7309*c_1001_1^4 + 21515/7309*c_1001_1^3 - 2648/7309*c_1001_1^2 - 11687/7309*c_1001_1 - 2656/7309, c_0101_6 - 110838/7309*c_1001_1^5 + 112826/7309*c_1001_1^4 + 130232/7309*c_1001_1^3 - 125776/7309*c_1001_1^2 - 54084/7309*c_1001_1 + 24352/7309, c_1001_1^6 - 23/21*c_1001_1^5 - 23/21*c_1001_1^4 + 26/21*c_1001_1^3 + 3/7*c_1001_1^2 - 2/7*c_1001_1 + 1/21 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 63295047/115067648*c_1001_1^6 - 304987755/115067648*c_1001_1^5 + 276959307/115067648*c_1001_1^4 + 135022433/57533824*c_1001_1^3 - 25589795/6056192*c_1001_1^2 + 56367505/57533824*c_1001_1 + 395218575/115067648, c_0011_0 - 1, c_0011_10 - 3/19*c_1001_1^6 + 5/19*c_1001_1^5 + 27/19*c_1001_1^4 - 42/19*c_1001_1^3 + 39/19*c_1001_1 - 30/19, c_0011_11 + 1, c_0011_4 + c_1001_1^2 - c_1001_1 - 1, c_0011_6 - 6/19*c_1001_1^6 + 10/19*c_1001_1^5 + 54/19*c_1001_1^4 - 84/19*c_1001_1^3 - c_1001_1^2 + 97/19*c_1001_1 - 41/19, c_0011_9 + 1, c_0101_0 + c_1001_1, c_0101_1 + 6/19*c_1001_1^6 - 29/19*c_1001_1^5 + 22/19*c_1001_1^4 + 46/19*c_1001_1^3 - 3*c_1001_1^2 - 2/19*c_1001_1 + 41/19, c_0101_2 - 3/19*c_1001_1^6 + 5/19*c_1001_1^5 + 27/19*c_1001_1^4 - 42/19*c_1001_1^3 + 39/19*c_1001_1 - 30/19, c_0101_5 + 5/19*c_1001_1^6 - 21/19*c_1001_1^5 + 12/19*c_1001_1^4 + 13/19*c_1001_1^3 - c_1001_1^2 + 11/19*c_1001_1 - 7/19, c_0101_6 + 3/19*c_1001_1^6 - 5/19*c_1001_1^5 - 27/19*c_1001_1^4 + 42/19*c_1001_1^3 + c_1001_1^2 - 58/19*c_1001_1 + 11/19, c_1001_1^7 - 5*c_1001_1^6 + 5*c_1001_1^5 + 6*c_1001_1^4 - 15*c_1001_1^3 + 6*c_1001_1^2 + 9*c_1001_1 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB