Magma V2.19-8 Tue Aug 20 2013 18:01:28 on localhost [Seed = 223131675] Type ? for help. Type -D to quit. Loading file "11_282__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_282 geometric_solution 12.58387206 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -10 0 10 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 0.528327603725 0.607526582125 0 5 3 6 0132 0132 0213 0132 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 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178544713180 1.060376000784 7 0 5 6 0132 0132 0132 0213 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 1 -1 0 -10 0 10 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 0.350658447969 0.612156215242 8 1 4 0 0132 0213 0213 0132 0 0 0 0 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 0 0 0 0 10 -10 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.121832217463 0.876158152218 7 3 0 9 2310 0213 0132 0132 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 0 -1 1 11 0 0 -11 10 -10 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428532947327 0.521960154182 7 1 8 2 1023 0132 0213 0132 0 0 0 0 0 0 0 0 -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 0 -1 1 10 0 0 -10 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119397507541 1.165939757398 9 10 1 2 0132 0132 0132 0213 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 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390109295634 0.662095924953 2 5 4 11 0132 1023 3201 0132 0 0 0 0 0 1 0 -1 -1 0 1 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 -10 -1 11 10 0 -10 0 1 0 0 -1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092064108029 1.393925903498 3 5 12 11 0132 0213 0132 2103 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 1 -1 0 0 0 0 0 0 0 0 0 10 -11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486151122921 0.800708365498 6 12 4 12 0132 3201 0132 3120 0 0 0 0 0 0 0 0 0 0 -1 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 -1 1 0 0 11 -11 0 1 0 -1 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592129755033 0.935782476632 11 6 11 12 0321 0132 2310 0321 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 1 -1 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479723531916 0.950086006417 10 10 7 8 0321 3201 0132 2103 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 11 -11 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 0.443410759406 0.809720184267 9 10 9 8 3120 0321 2310 0132 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 -1 1 11 0 -11 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 0.592129755033 0.935782476632 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), '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' : d['1'], 's_2_5' : 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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_11' : negation(d['c_0011_4']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_12']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_10'], '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'], 'c_1100_12' : d['c_0011_10'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0101_7'])})} 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_3, c_0011_4, c_0101_0, c_0101_10, c_0101_12, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 61387399/1617*c_1001_5^10 - 39054165/539*c_1001_5^9 - 106637969/1617*c_1001_5^8 - 281253836/1617*c_1001_5^7 - 26792180/77*c_1001_5^6 - 3914921/77*c_1001_5^5 + 722225417/1617*c_1001_5^4 + 649205/3*c_1001_5^3 - 417070298/1617*c_1001_5^2 - 3980848/33*c_1001_5 + 67291222/1617, c_0011_0 - 1, c_0011_10 + 61/49*c_1001_5^10 + 64/49*c_1001_5^9 + 16/49*c_1001_5^8 + 187/49*c_1001_5^7 + 45/7*c_1001_5^6 - 55/7*c_1001_5^5 - 779/49*c_1001_5^4 + 3*c_1001_5^3 + 634/49*c_1001_5^2 - c_1001_5 - 146/49, c_0011_11 - 4/7*c_1001_5^10 - 4/7*c_1001_5^9 - 5/7*c_1001_5^8 - 16/7*c_1001_5^7 - 23/7*c_1001_5^6 + 10/7*c_1001_5^5 + 30/7*c_1001_5^4 + 6/7*c_1001_5^3 - 8/7*c_1001_5^2 + 1/7*c_1001_5 - 3/7, c_0011_3 + 3/7*c_1001_5^10 - 1/7*c_1001_5^9 - 4/7*c_1001_5^8 + 4/7*c_1001_5^7 - 1/7*c_1001_5^6 - 44/7*c_1001_5^5 - 29/7*c_1001_5^4 + 45/7*c_1001_5^3 + 6*c_1001_5^2 - 17/7*c_1001_5 - 11/7, c_0011_4 - 3/49*c_1001_5^10 - 51/49*c_1001_5^9 - 32/49*c_1001_5^8 - 31/49*c_1001_5^7 - 24/7*c_1001_5^6 - 24/7*c_1001_5^5 + 340/49*c_1001_5^4 + 61/7*c_1001_5^3 - 162/49*c_1001_5^2 - 33/7*c_1001_5 + 40/49, c_0101_0 - 18/49*c_1001_5^10 - 12/49*c_1001_5^9 + 4/49*c_1001_5^8 - 39/49*c_1001_5^7 - 11/7*c_1001_5^6 + 24/7*c_1001_5^5 + 227/49*c_1001_5^4 - 19/7*c_1001_5^3 - 286/49*c_1001_5^2 + 12/7*c_1001_5 + 93/49, c_0101_10 - 19/49*c_1001_5^10 - 8/49*c_1001_5^9 - 16/49*c_1001_5^8 - 89/49*c_1001_5^7 - 11/7*c_1001_5^6 + 11/7*c_1001_5^5 + 9/49*c_1001_5^4 - 18/7*c_1001_5^3 + 108/49*c_1001_5^2 + 18/7*c_1001_5 - 64/49, c_0101_12 + 16/49*c_1001_5^10 + 13/49*c_1001_5^9 + 19/49*c_1001_5^8 + 72/49*c_1001_5^7 + 13/7*c_1001_5^6 - 4/7*c_1001_5^5 - 68/49*c_1001_5^4 + 8/7*c_1001_5^3 + 10/49*c_1001_5^2 - 8/7*c_1001_5 - 29/49, c_0101_7 + 22/49*c_1001_5^10 + 59/49*c_1001_5^9 + 48/49*c_1001_5^8 + 120/49*c_1001_5^7 + 5*c_1001_5^6 + 13/7*c_1001_5^5 - 349/49*c_1001_5^4 - 43/7*c_1001_5^3 + 54/49*c_1001_5^2 + 15/7*c_1001_5 + 24/49, c_1001_0 + 44/49*c_1001_5^10 + 76/49*c_1001_5^9 + 33/49*c_1001_5^8 + 156/49*c_1001_5^7 + 47/7*c_1001_5^6 - 20/7*c_1001_5^5 - 705/49*c_1001_5^4 - 17/7*c_1001_5^3 + 535/49*c_1001_5^2 + 10/7*c_1001_5 - 134/49, c_1001_1 - 1/49*c_1001_5^10 + 11/49*c_1001_5^9 + 15/49*c_1001_5^8 + 13/49*c_1001_5^7 + 5/7*c_1001_5^6 + 11/7*c_1001_5^5 - 29/49*c_1001_5^4 - 3*c_1001_5^3 - 110/49*c_1001_5^2 + c_1001_5 + 53/49, c_1001_10 + 64/49*c_1001_5^10 + 80/49*c_1001_5^9 + 20/49*c_1001_5^8 + 197/49*c_1001_5^7 + 51/7*c_1001_5^6 - 53/7*c_1001_5^5 - 937/49*c_1001_5^4 + c_1001_5^3 + 719/49*c_1001_5^2 + c_1001_5 - 158/49, c_1001_5^11 + c_1001_5^10 + 3*c_1001_5^8 + 5*c_1001_5^7 - 7*c_1001_5^6 - 13*c_1001_5^5 + 5*c_1001_5^4 + 12*c_1001_5^3 - 3*c_1001_5^2 - 4*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.950 Total time: 4.160 seconds, Total memory usage: 119.78MB