Magma V2.19-8 Tue Aug 20 2013 23:43:59 on localhost [Seed = 998071855] Type ? for help. Type -D to quit. Loading file "L14n15102__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15102 geometric_solution 10.00040167 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1302 0132 0132 1 1 0 1 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 1 0 -1 -1 0 1 0 0 -1 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684955033501 0.791308041206 0 4 5 0 0132 0132 0132 2031 0 1 1 0 0 0 1 -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 1 -2 1 1 0 0 -1 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434292144956 1.090824812580 6 7 8 0 0132 0132 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 0 0 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 0.367300642285 1.066648692408 9 4 0 6 0132 1302 0132 3201 1 1 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629292538368 0.444855313855 5 1 8 3 2103 0132 3012 2031 0 1 0 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 2 -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 1.164154816365 0.907734156051 7 10 4 1 3012 0132 2103 0132 0 1 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 0 0 0 0 0 -2 0 2 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 0.079096364283 1.542962146666 2 3 7 9 0132 2310 1023 2103 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 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 0.395354075463 0.459109816612 8 2 6 5 2310 0132 1023 1230 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929882557500 1.536811237110 10 4 7 2 3120 1230 3201 0132 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 0 0 0 0 0 0 1 -1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807746537390 0.385872502400 3 10 10 6 0132 1230 2103 2103 1 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.064548999848 1.013100080031 9 5 9 8 2103 0132 3012 3120 0 1 1 0 0 -1 0 1 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 2 0 -2 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 0.274636859911 0.629460951077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0101_4'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0011_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_1100_9' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_0011_2'], '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'], '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_0101_10'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_7, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1303327/10715760*c_0110_4^9 + 457231/3571920*c_0110_4^8 + 6532081/5357880*c_0110_4^7 + 16825771/10715760*c_0110_4^6 + 10021147/2143152*c_0110_4^5 + 72332053/10715760*c_0110_4^4 + 32741587/3571920*c_0110_4^3 + 54367109/5357880*c_0110_4^2 + 1522199/162360*c_0110_4 + 7499717/2143152, c_0011_0 - 1, c_0011_10 + 8/99*c_0110_4^9 + 7/99*c_0110_4^8 + 65/99*c_0110_4^7 + 104/99*c_0110_4^6 + 233/99*c_0110_4^5 + 515/99*c_0110_4^4 + 652/99*c_0110_4^3 + 290/33*c_0110_4^2 + 103/9*c_0110_4 + 679/99, c_0011_2 - 2/99*c_0110_4^9 - 10/99*c_0110_4^8 - 8/99*c_0110_4^7 - 59/99*c_0110_4^6 + 16/99*c_0110_4^5 - 38/99*c_0110_4^4 + 68/99*c_0110_4^3 + 76/33*c_0110_4^2 + 14/9*c_0110_4 + 20/99, c_0011_3 + 2/99*c_0110_4^9 + 10/99*c_0110_4^8 + 8/99*c_0110_4^7 + 59/99*c_0110_4^6 - 16/99*c_0110_4^5 + 38/99*c_0110_4^4 - 68/99*c_0110_4^3 - 76/33*c_0110_4^2 - 14/9*c_0110_4 - 20/99, c_0101_0 - 1, c_0101_1 + 2/99*c_0110_4^9 + 10/99*c_0110_4^8 + 8/99*c_0110_4^7 + 59/99*c_0110_4^6 - 16/99*c_0110_4^5 + 38/99*c_0110_4^4 - 68/99*c_0110_4^3 - 76/33*c_0110_4^2 - 23/9*c_0110_4 - 20/99, c_0101_10 + 7/99*c_0110_4^9 + 13/99*c_0110_4^8 + 35/33*c_0110_4^7 + 190/99*c_0110_4^6 + 61/11*c_0110_4^5 + 925/99*c_0110_4^4 + 1291/99*c_0110_4^3 + 1721/99*c_0110_4^2 + 127/9*c_0110_4 + 193/33, c_0101_2 + 8/99*c_0110_4^9 + 2/11*c_0110_4^8 + 109/99*c_0110_4^7 + 203/99*c_0110_4^6 + 541/99*c_0110_4^5 + 812/99*c_0110_4^4 + 136/11*c_0110_4^3 + 1277/99*c_0110_4^2 + 34/3*c_0110_4 + 437/99, c_0101_4 + 7/99*c_0110_4^9 - 1/11*c_0110_4^8 + 50/99*c_0110_4^7 - 41/99*c_0110_4^6 + 98/99*c_0110_4^5 + 34/99*c_0110_4^4 + 16/33*c_0110_4^3 + 148/99*c_0110_4^2 + 3*c_0110_4 + 106/99, c_0101_7 - 7/99*c_0110_4^9 - 13/99*c_0110_4^8 - 8/11*c_0110_4^7 - 124/99*c_0110_4^6 - 95/33*c_0110_4^5 - 430/99*c_0110_4^4 - 598/99*c_0110_4^3 - 599/99*c_0110_4^2 - 49/9*c_0110_4 - 116/33, c_0110_4^10 + 2*c_0110_4^9 + 11*c_0110_4^8 + 23*c_0110_4^7 + 52*c_0110_4^6 + 98*c_0110_4^5 + 140*c_0110_4^4 + 175*c_0110_4^3 + 188*c_0110_4^2 + 133*c_0110_4 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB