Magma V2.19-8 Tue Aug 20 2013 23:52:38 on localhost [Seed = 3970598708] Type ? for help. Type -D to quit. Loading file "L13n3116__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3116 geometric_solution 11.41435518 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 0 0 -1 0 1 1 0 -1 0 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 -1 0 1 0 -1 1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 0 5 9 0132 0132 0132 0132 1 1 1 1 0 0 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 1 3 -4 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 0 0.363660575536 0.662426631042 8 10 9 0 3012 0132 1230 0132 1 0 1 1 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 0 0 0 0 0 -1 1 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 8 5 0 10 1023 1023 0132 3120 1 0 1 1 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477971054952 0.922668179548 4 1 7 2 1023 0132 3012 0132 1 1 1 1 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 0 0 0 0 3 -3 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464508491980 0.821002759992 9 11 1 10 0213 0132 0132 0132 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 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 -0.124051891103 0.638344431521 11 5 10 1 3120 1230 0132 0132 1 0 1 1 0 0 0 0 -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 0 0 0 1 0 0 -1 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.306852354313 0.628997486716 2 4 11 3 0132 1023 1302 1230 0 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754191764002 0.785110414631 6 11 2 3 0213 0213 0132 3012 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 4 -4 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 0.464508491980 0.821002759992 4 3 6 7 3120 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 6 9 7 2031 0132 0213 3120 1 0 1 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 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 0.557341126612 0.854502072119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_3']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 242721227543/1354178371*c_1100_1^6 + 315773527206/1354178371*c_1100_1^5 - 14657302520758/1354178371*c_1100_1^4 + 2467741342475/1354178371*c_1100_1^3 - 9661834365688/1354178371*c_1100_1^2 + 145432845546/104167567*c_1100_1 - 804887955345/193454053, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 348912/14881081*c_1100_1^6 - 1102207/14881081*c_1100_1^5 + 22074745/14881081*c_1100_1^4 - 42225491/14881081*c_1100_1^3 + 29412334/14881081*c_1100_1^2 + 8582022/14881081*c_1100_1 + 19105175/14881081, c_0011_7 + 450491/14881081*c_1100_1^6 - 351172/14881081*c_1100_1^5 + 26564263/14881081*c_1100_1^4 + 9778780/14881081*c_1100_1^3 - 4101998/14881081*c_1100_1^2 - 10864169/14881081*c_1100_1 + 561993/14881081, c_0011_9 - 1, c_0101_1 - 250723/14881081*c_1100_1^6 + 28894/14881081*c_1100_1^5 - 15057226/14881081*c_1100_1^4 - 14931892/14881081*c_1100_1^3 - 24213827/14881081*c_1100_1^2 - 4765863/14881081*c_1100_1 - 7123199/14881081, c_0101_10 + 232469/14881081*c_1100_1^6 - 186271/14881081*c_1100_1^5 + 13814911/14881081*c_1100_1^4 + 4888094/14881081*c_1100_1^3 + 3061715/14881081*c_1100_1^2 + 6455688/14881081*c_1100_1 - 4939979/14881081, c_0101_3 + 13407/14881081*c_1100_1^6 - 449361/14881081*c_1100_1^5 + 1314347/14881081*c_1100_1^4 - 25985327/14881081*c_1100_1^3 + 1119170/14881081*c_1100_1^2 - 12589844/14881081*c_1100_1 + 722476/14881081, c_0101_5 - 468745/14881081*c_1100_1^6 + 193795/14881081*c_1100_1^5 - 27806578/14881081*c_1100_1^4 - 19822578/14881081*c_1100_1^3 - 17050114/14881081*c_1100_1^2 + 12553994/14881081*c_1100_1 + 2255910/14881081, c_1001_0 + 914389/14881081*c_1100_1^6 - 1151705/14881081*c_1100_1^5 + 54442873/14881081*c_1100_1^4 - 6427767/14881081*c_1100_1^3 - 7084826/14881081*c_1100_1^2 - 19437101/14881081*c_1100_1 + 1846462/14881081, c_1001_3 - 701214/14881081*c_1100_1^6 + 380066/14881081*c_1100_1^5 - 41621489/14881081*c_1100_1^4 - 24710672/14881081*c_1100_1^3 - 20111829/14881081*c_1100_1^2 + 6098306/14881081*c_1100_1 + 7195889/14881081, c_1100_1^7 - c_1100_1^6 + 60*c_1100_1^5 + 8*c_1100_1^4 + 37*c_1100_1^3 + 4*c_1100_1^2 + 21*c_1100_1 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB