Magma V2.19-8 Wed Aug 21 2013 00:54:26 on localhost [Seed = 1848144949] Type ? for help. Type -D to quit. Loading file "L12n249__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n249 geometric_solution 12.12039739 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 -1 0 -1 0 0 1 0 1 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024481973757 1.693310733182 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 1 0 0 -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 1.008536548897 0.590435641163 7 0 5 3 0132 0132 0132 3120 1 1 1 0 0 0 -1 1 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 -1 -2 3 0 0 0 0 -3 0 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008536548897 0.590435641163 2 6 8 0 3120 2310 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 -3 1 0 2 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487759013122 0.846655366591 5 7 0 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 1 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 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487759013122 0.846655366591 4 1 10 2 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 0 0 0 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 -2 2 0 0 0 0 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523113301326 0.864625625923 7 11 1 3 2103 0132 0132 3201 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 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 0.523113301326 0.864625625923 2 4 6 1 0132 0132 2103 0132 1 1 0 1 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 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744557683606 0.443398486161 10 9 9 3 2103 2031 0132 0132 1 1 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 0 0 0 -1 0 1 0 0 0 0 0 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209743053758 0.757959001309 8 11 4 8 1302 3012 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 0 0 0 1 0 -1 0 1 0 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.209743053758 0.757959001309 12 12 8 5 0132 3201 2103 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 -2 0 2 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.031481932982 1.190599131267 9 6 12 12 1230 0132 0132 3201 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 -0.031481932982 1.190599131267 10 11 10 11 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.022193547224 0.839326418095 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0011_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_1001_12']), 'c_1010_10' : negation(d['c_1001_12']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_11' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_0'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_9'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_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' : negation(d['c_0011_11']), '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' : d['c_0011_9'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_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_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_3'], 's_2_9' : d['1']})} 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_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_1, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2701340333979288075/90587178494008672256*c_1100_0^6 - 1420556961999576613/90587178494008672256*c_1100_0^5 + 49532979487425382491/181174356988017344512*c_1100_0^4 - 8127981649552068907/45293589247004336128*c_1100_0^3 + 71731827720762035449/76283939784428355584*c_1100_0^2 - 345848446636714268821/2898789711808277512192*c_1100_0 + 490486352415301560385/362348713976034689024, c_0011_0 - 1, c_0011_10 - 17932216/366700931*c_1100_0^6 - 12995048/366700931*c_1100_0^5 - 113526644/366700931*c_1100_0^4 - 120529392/366700931*c_1100_0^3 - 14082937/38600098*c_1100_0^2 - 1695485571/1466803724*c_1100_0 - 152945766/366700931, c_0011_11 + 15291920/366700931*c_1100_0^6 + 32089808/366700931*c_1100_0^5 + 137704584/366700931*c_1100_0^4 + 192359296/366700931*c_1100_0^3 + 16816971/19300049*c_1100_0^2 + 267660351/733401862*c_1100_0 + 633961982/366700931, c_0011_3 + 7645960/366700931*c_1100_0^6 + 16044904/366700931*c_1100_0^5 + 68852292/366700931*c_1100_0^4 + 96179648/366700931*c_1100_0^3 + 16816971/38600098*c_1100_0^2 + 1001062213/1466803724*c_1100_0 + 316980991/366700931, c_0011_8 + 16797888/366700931*c_1100_0^6 + 7723264/366700931*c_1100_0^5 + 100607776/366700931*c_1100_0^4 - 2563616/366700931*c_1100_0^3 + 5392806/19300049*c_1100_0^2 + 186673322/366700931*c_1100_0 + 60557382/366700931, c_0011_9 - 16797888/366700931*c_1100_0^6 - 7723264/366700931*c_1100_0^5 - 100607776/366700931*c_1100_0^4 + 2563616/366700931*c_1100_0^3 - 5392806/19300049*c_1100_0^2 - 186673322/366700931*c_1100_0 - 60557382/366700931, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1090/1135297*c_1100_0^6 - 70946/1135297*c_1100_0^5 - 6537/1135297*c_1100_0^4 - 283832/1135297*c_1100_0^3 - 87649/9082376*c_1100_0^2 - 2622785/18164752*c_1100_0 - 1137409/1135297, c_0101_3 - 15291920/366700931*c_1100_0^6 - 32089808/366700931*c_1100_0^5 - 137704584/366700931*c_1100_0^4 - 192359296/366700931*c_1100_0^3 - 16816971/19300049*c_1100_0^2 - 267660351/733401862*c_1100_0 - 633961982/366700931, c_1001_1 + 7645960/366700931*c_1100_0^6 + 16044904/366700931*c_1100_0^5 + 68852292/366700931*c_1100_0^4 + 96179648/366700931*c_1100_0^3 + 16816971/38600098*c_1100_0^2 - 465741511/1466803724*c_1100_0 + 316980991/366700931, c_1001_12 - c_1100_0, c_1100_0^7 + c_1100_0^6 + 17/2*c_1100_0^5 + 6*c_1100_0^4 + 337/16*c_1100_0^3 + 833/32*c_1100_0^2 + 117/4*c_1100_0 + 44 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.500 seconds, Total memory usage: 32.09MB