Magma V2.19-8 Wed Aug 21 2013 01:00:06 on localhost [Seed = 4206682572] Type ? for help. Type -D to quit. Loading file "L13n840__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n840 geometric_solution 12.07406134 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 0 1 -1 0 0 -1 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 0.976426753722 0.745088889256 0 3 6 5 0132 3120 0132 0132 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 1.082086704166 0.908924476288 7 0 8 7 0132 0132 0132 2031 0 1 1 0 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 -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 0.444731266621 1.045581828126 6 1 4 0 0132 3120 2103 0132 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 1 -1 -1 0 0 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 0.297262175174 0.784824479958 3 9 0 10 2103 0132 0132 0132 0 1 0 0 0 1 -1 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 1 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 1.277183876331 0.929699480961 11 6 1 8 0132 2103 0132 0132 0 1 0 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 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 0.382932594181 0.327339597557 3 5 7 1 0132 2103 2031 0132 0 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 0 0 0 0 0 0 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 0.081246758303 0.780055872260 2 2 11 6 0132 1302 1230 1302 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 0 -1 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655521396947 0.809883618634 12 10 5 2 0132 2103 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662452844450 1.218896223127 10 4 12 10 0132 0132 3012 2103 0 1 0 0 0 -1 1 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 1 -1 0 -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 0.521209905004 0.670389829843 9 8 4 9 0132 2103 0132 2103 0 1 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 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 0.521209905004 0.670389829843 5 12 12 7 0132 0213 0132 3012 1 1 1 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 -1 0 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 0.944731266621 1.045581828126 8 9 11 11 0132 1230 0213 0132 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524246652088 0.526540268986 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_1001_2']), 's_3_11' : d['1'], 's_0_11' : 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_0101_11'], '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' : negation(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_1100_9' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_7']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_1010_7']), 'c_1100_1' : negation(d['c_1010_7']), 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1010_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_10']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_1010_7']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_0'], 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_11'], '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_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0101_9, c_1001_2, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 7774957929915/13485241822208*c_1010_7^8 + 177704584209015/26970483644416*c_1010_7^7 - 137944799143473/26970483644416*c_1010_7^6 + 2156667688359745/107881934577664*c_1010_7^5 - 348606099619539/26970483644416*c_1010_7^4 + 2405034801516223/107881934577664*c_1010_7^3 + 947643590400431/53940967288832*c_1010_7^2 - 22098986722807/1037326294016*c_1010_7 + 2642442802495347/107881934577664, c_0011_0 - 1, c_0011_10 - 784048/1221971*c_1010_7^8 - 10256/1221971*c_1010_7^7 - 1837028/1221971*c_1010_7^6 + 398594/1221971*c_1010_7^5 - 1071681/1221971*c_1010_7^4 - 2539990/1221971*c_1010_7^3 + 771285/1221971*c_1010_7^2 - 970589/1221971*c_1010_7 + 934179/1221971, c_0011_11 - 361112/1221971*c_1010_7^8 - 223468/1221971*c_1010_7^7 - 533132/1221971*c_1010_7^6 - 456941/1221971*c_1010_7^5 + 700142/1221971*c_1010_7^4 - 1299748/1221971*c_1010_7^3 + 580100/1221971*c_1010_7^2 + 90968/1221971*c_1010_7 + 378652/1221971, c_0011_12 - 931104/1221971*c_1010_7^8 + 975312/1221971*c_1010_7^7 - 1748880/1221971*c_1010_7^6 + 2803236/1221971*c_1010_7^5 - 135524/1221971*c_1010_7^4 - 2022116/1221971*c_1010_7^3 + 4895688/1221971*c_1010_7^2 - 331668/1221971*c_1010_7 + 1883976/1221971, c_0011_3 + 550928/1221971*c_1010_7^8 + 305848/1221971*c_1010_7^7 + 1706072/1221971*c_1010_7^6 + 975530/1221971*c_1010_7^5 + 1677566/1221971*c_1010_7^4 + 2732745/1221971*c_1010_7^3 + 1696953/1221971*c_1010_7^2 + 1059147/1221971*c_1010_7 + 617618/1221971, c_0101_0 - 1, c_0101_1 - 404024/1221971*c_1010_7^8 + 550204/1221971*c_1010_7^7 - 863192/1221971*c_1010_7^6 + 1918895/1221971*c_1010_7^5 - 171273/1221971*c_1010_7^4 + 354405/1221971*c_1010_7^3 + 2486553/1221971*c_1010_7^2 + 423791/1221971*c_1010_7 + 1808778/1221971, c_0101_10 - 256968/1221971*c_1010_7^8 - 435364/1221971*c_1010_7^7 - 951340/1221971*c_1010_7^6 - 485747/1221971*c_1010_7^5 - 1107430/1221971*c_1010_7^4 - 163469/1221971*c_1010_7^3 - 1637850/1221971*c_1010_7^2 - 215130/1221971*c_1010_7 + 858981/1221971, c_0101_11 + 44360/1221971*c_1010_7^8 - 309532/1221971*c_1010_7^7 - 49724/1221971*c_1010_7^6 - 890497/1221971*c_1010_7^5 + 821314/1221971*c_1010_7^4 - 302334/1221971*c_1010_7^3 + 500268/1221971*c_1010_7^2 - 1509300/1221971*c_1010_7 + 300810/1221971, c_0101_7 + 688698/1221971*c_1010_7^8 - 78095/1221971*c_1010_7^7 + 1899833/1221971*c_1010_7^6 - 421417/4887884*c_1010_7^5 + 1486345/1221971*c_1010_7^4 + 10058701/4887884*c_1010_7^3 - 1133543/2443942*c_1010_7^2 + 2015440/1221971*c_1010_7 - 288103/4887884, c_0101_9 - 256968/1221971*c_1010_7^8 - 435364/1221971*c_1010_7^7 - 951340/1221971*c_1010_7^6 - 485747/1221971*c_1010_7^5 - 1107430/1221971*c_1010_7^4 - 163469/1221971*c_1010_7^3 - 1637850/1221971*c_1010_7^2 - 215130/1221971*c_1010_7 + 858981/1221971, c_1001_2 - 147056/1221971*c_1010_7^8 + 985568/1221971*c_1010_7^7 + 88148/1221971*c_1010_7^6 + 2404642/1221971*c_1010_7^5 + 936157/1221971*c_1010_7^4 + 517874/1221971*c_1010_7^3 + 4124403/1221971*c_1010_7^2 + 638921/1221971*c_1010_7 + 949797/1221971, c_1010_7^9 - 1/2*c_1010_7^8 + 3*c_1010_7^7 - 9/8*c_1010_7^6 + 27/8*c_1010_7^5 + 25/8*c_1010_7^4 - 5/8*c_1010_7^3 + 13/4*c_1010_7^2 + 1/8*c_1010_7 + 13/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB