Magma V2.19-8 Tue Aug 20 2013 17:57:17 on localhost [Seed = 1899021680] Type ? for help. Type -D to quit. Loading file "9^2_22__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_22 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 1 1 0 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 0 -1 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 0.435138784509 0.539731122121 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 -6 6 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 1.143225780421 0.598444134695 7 0 7 0 0132 0132 3012 1302 1 1 1 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 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 0.925428716898 0.884257346967 6 4 0 7 0132 3012 0132 1302 1 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 -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 1.905238903272 1.397985136021 3 1 8 9 1230 0132 0132 0132 0 1 0 1 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 6 -6 0 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 0.992928800130 0.741261363010 10 11 1 6 0132 0132 0132 0321 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 7 0 -7 0 0 -1 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 0.481405159098 0.467653626132 3 5 10 1 0132 0321 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 7 -1 -6 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 0.639368469886 1.096903161900 2 2 3 8 0132 1230 2031 1230 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 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 0.094697068021 1.122906494968 7 11 11 4 3012 0321 3201 0132 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 0 0 0 0 -7 1 6 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 0.415592398388 0.818552064100 10 11 4 10 2103 0213 0132 3201 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279634858080 1.161308235867 5 9 9 6 0132 2310 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 -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 0.279634858080 1.161308235867 8 5 9 8 2310 0132 0213 0321 0 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 0 0 0 0 0 0 0 -7 0 7 -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 0.415592398388 0.818552064100 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0110_9']), 'c_1100_1' : negation(d['c_0110_9']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0110_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_1001_4'], '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' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_0'], '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_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], '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_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_7, c_0110_9, c_1001_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7779502561/17365683125*c_1001_4^10 + 1461490797/3473136625*c_1001_4^9 - 46786994351/17365683125*c_1001_4^8 + 41253209602/17365683125*c_1001_4^7 - 38156271501/17365683125*c_1001_4^6 + 10048204502/2480811875*c_1001_4^5 + 142944195001/17365683125*c_1001_4^4 + 187709546578/17365683125*c_1001_4^3 + 377454416309/17365683125*c_1001_4^2 + 121044433917/17365683125*c_1001_4 + 7530946428/2480811875, c_0011_0 - 1, c_0011_10 + 118571/3969299*c_1001_4^10 + 587863/3969299*c_1001_4^9 + 1613098/3969299*c_1001_4^8 + 4703469/3969299*c_1001_4^7 + 8117821/3969299*c_1001_4^6 + 13860674/3969299*c_1001_4^5 + 18828302/3969299*c_1001_4^4 + 22232748/3969299*c_1001_4^3 + 15931177/3969299*c_1001_4^2 + 7987727/3969299*c_1001_4 - 3644107/3969299, c_0011_3 + 471327/3969299*c_1001_4^10 + 1636772/3969299*c_1001_4^9 + 5522803/3969299*c_1001_4^8 + 13543797/3969299*c_1001_4^7 + 25708585/3969299*c_1001_4^6 + 41921090/3969299*c_1001_4^5 + 60006898/3969299*c_1001_4^4 + 69936944/3969299*c_1001_4^3 + 58525589/3969299*c_1001_4^2 + 28797235/3969299*c_1001_4 + 2690789/3969299, c_0011_8 + 682539/3969299*c_1001_4^10 + 1838299/3969299*c_1001_4^9 + 6825869/3969299*c_1001_4^8 + 14957736/3969299*c_1001_4^7 + 27966072/3969299*c_1001_4^6 + 43744971/3969299*c_1001_4^5 + 62236995/3969299*c_1001_4^4 + 66911434/3969299*c_1001_4^3 + 52389025/3969299*c_1001_4^2 + 20949097/3969299*c_1001_4 + 1368613/3969299, c_0011_9 + 349686/3969299*c_1001_4^10 + 390143/3969299*c_1001_4^9 + 2402287/3969299*c_1001_4^8 + 3356775/3969299*c_1001_4^7 + 6092929/3969299*c_1001_4^6 + 8714478/3969299*c_1001_4^5 + 11371327/3969299*c_1001_4^4 + 6140405/3969299*c_1001_4^3 + 4534798/3969299*c_1001_4^2 - 242630/3969299*c_1001_4 + 1380444/3969299, c_0101_0 - 1, c_0101_1 - 682539/3969299*c_1001_4^10 - 1838299/3969299*c_1001_4^9 - 6825869/3969299*c_1001_4^8 - 14957736/3969299*c_1001_4^7 - 27966072/3969299*c_1001_4^6 - 43744971/3969299*c_1001_4^5 - 62236995/3969299*c_1001_4^4 - 66911434/3969299*c_1001_4^3 - 52389025/3969299*c_1001_4^2 - 20949097/3969299*c_1001_4 - 1368613/3969299, c_0101_4 + 1343050/3969299*c_1001_4^10 + 2844100/3969299*c_1001_4^9 + 11518972/3969299*c_1001_4^8 + 22655022/3969299*c_1001_4^7 + 39630450/3969299*c_1001_4^6 + 61015737/3969299*c_1001_4^5 + 79285710/3969299*c_1001_4^4 + 75058900/3969299*c_1001_4^3 + 42940476/3969299*c_1001_4^2 - 4020040/3969299*c_1001_4 - 17188396/3969299, c_0101_7 + 660511/3969299*c_1001_4^10 + 1005801/3969299*c_1001_4^9 + 4693103/3969299*c_1001_4^8 + 7697286/3969299*c_1001_4^7 + 11664378/3969299*c_1001_4^6 + 17270766/3969299*c_1001_4^5 + 17048715/3969299*c_1001_4^4 + 8147466/3969299*c_1001_4^3 - 9448549/3969299*c_1001_4^2 - 24969137/3969299*c_1001_4 - 14587710/3969299, c_0110_9 - 173351/3969299*c_1001_4^10 - 72734/3969299*c_1001_4^9 - 1036145/3969299*c_1001_4^8 - 809298/3969299*c_1001_4^7 - 1382638/3969299*c_1001_4^6 - 1993957/3969299*c_1001_4^5 - 1112429/3969299*c_1001_4^4 + 2308658/3969299*c_1001_4^3 + 2185506/3969299*c_1001_4^2 + 5873803/3969299*c_1001_4 + 2007226/3969299, c_1001_1 + 382669/3969299*c_1001_4^10 + 754794/3969299*c_1001_4^9 + 3824423/3969299*c_1001_4^8 + 6970176/3969299*c_1001_4^7 + 14970943/3969299*c_1001_4^6 + 23026720/3969299*c_1001_4^5 + 32486611/3969299*c_1001_4^4 + 35397465/3969299*c_1001_4^3 + 32151056/3969299*c_1001_4^2 + 11868676/3969299*c_1001_4 + 2770547/3969299, c_1001_4^11 + 3*c_1001_4^10 + 11*c_1001_4^9 + 26*c_1001_4^8 + 50*c_1001_4^7 + 84*c_1001_4^6 + 122*c_1001_4^5 + 144*c_1001_4^4 + 132*c_1001_4^3 + 81*c_1001_4^2 + 28*c_1001_4 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB