Magma V2.19-8 Wed Aug 21 2013 00:53:50 on localhost [Seed = 4055360633] Type ? for help. Type -D to quit. Loading file "L12n1949__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1949 geometric_solution 11.94292018 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 0 0 0 -1 1 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 -1 -1 2 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.024416411151 0.797369391815 0 5 3 6 0132 0132 3120 0132 2 1 0 2 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 0 0 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443377597087 0.614915066100 7 0 9 8 0132 0132 0132 0132 2 2 0 2 0 0 1 -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 1 1 -2 -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 0.614517119782 0.502260541958 7 10 1 0 2031 0132 3120 0132 2 1 0 2 0 0 -1 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 0 0 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 0.749101421170 0.721011838562 5 6 0 11 0132 0132 0132 0132 2 1 0 2 0 0 -1 1 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 -2 2 -1 0 1 0 2 0 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731960713544 0.579790003479 4 1 12 11 0132 0132 0132 2103 2 1 2 0 0 0 0 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 0 0 0 1 0 -1 0 2 0 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608810107072 1.113487077196 7 4 1 9 1023 0132 0132 0321 2 1 2 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 -1 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522572653909 1.027793521400 2 6 3 9 0132 1023 1302 3012 1 2 2 0 0 0 1 -1 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 0 0 0 1 0 0 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383027077698 0.855183716290 10 12 2 9 0213 3012 0132 1230 2 2 1 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 0 2 -2 0 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 0.462683803911 1.079403764755 8 6 7 2 3012 0321 1230 0132 2 2 2 1 0 0 1 -1 1 0 -1 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 0 1 -1 2 0 -2 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 0.527523590220 0.375653738656 8 3 11 12 0213 0132 2103 0132 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.527336263303 1.439395789821 10 12 4 5 2103 0132 0132 2103 2 1 2 0 0 0 -1 1 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 -2 2 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647012363636 0.349880777181 8 11 10 5 1230 0132 0132 0132 2 1 0 2 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 -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 0.109859374598 0.752776815232 ==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_11'], 'c_1001_12' : negation(d['c_1001_1']), 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : negation(d['c_1001_1']), 's_3_11' : negation(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' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], '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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_2'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_9'], 's_3_1' : 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' : negation(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' : negation(d['c_0110_11']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0110_11'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], '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_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_9'])})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_11, c_1001_1, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 20235422413/262763184640*c_1001_2^6 + 43966418931/52552636928*c_1001_2^5 - 5679582099/1642269904*c_1001_2^4 + 1045751510377/131381592320*c_1001_2^3 - 355616263919/32845398080*c_1001_2^2 + 1109979456049/131381592320*c_1001_2 - 772694485741/262763184640, c_0011_0 - 1, c_0011_10 + 19/103*c_1001_2^6 - 214/103*c_1001_2^5 + 980/103*c_1001_2^4 - 2673/103*c_1001_2^3 + 4411/103*c_1001_2^2 - 4366/103*c_1001_2 + 1928/103, c_0011_11 - c_1001_2 + 1, c_0011_8 - 15/206*c_1001_2^6 + 131/206*c_1001_2^5 - 170/103*c_1001_2^4 + 120/103*c_1001_2^3 + 392/103*c_1001_2^2 - 960/103*c_1001_2 + 1595/206, c_0011_9 + 14/103*c_1001_2^6 - 136/103*c_1001_2^5 + 489/103*c_1001_2^4 - 1048/103*c_1001_2^3 + 1342/103*c_1001_2^2 - 1092/103*c_1001_2 + 331/103, c_0101_0 - 1, c_0101_1 - 1, c_0101_2 - 43/103*c_1001_2^6 + 506/103*c_1001_2^5 - 2348/103*c_1001_2^4 + 6147/103*c_1001_2^3 - 9831/103*c_1001_2^2 + 9328/103*c_1001_2 - 4526/103, c_0101_3 + 5/103*c_1001_2^6 - 78/103*c_1001_2^5 + 491/103*c_1001_2^4 - 1625/103*c_1001_2^3 + 3069/103*c_1001_2^2 - 3274/103*c_1001_2 + 1494/103, c_0110_11 + 17/103*c_1001_2^6 - 224/103*c_1001_2^5 + 1175/103*c_1001_2^4 - 3362/103*c_1001_2^3 + 5779/103*c_1001_2^2 - 5652/103*c_1001_2 + 2587/103, c_1001_1 + 37/103*c_1001_2^6 - 433/103*c_1001_2^5 + 2006/103*c_1001_2^4 - 5227/103*c_1001_2^3 + 8064/103*c_1001_2^2 - 7109/103*c_1001_2 + 2692/103, c_1001_11 + 32/103*c_1001_2^6 - 355/103*c_1001_2^5 + 1515/103*c_1001_2^4 - 3602/103*c_1001_2^3 + 4995/103*c_1001_2^2 - 3835/103*c_1001_2 + 1198/103, c_1001_2^7 - 13*c_1001_2^6 + 70*c_1001_2^5 - 218*c_1001_2^4 + 428*c_1001_2^3 - 538*c_1001_2^2 + 405*c_1001_2 - 146 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB