Magma V2.19-8 Wed Aug 21 2013 00:57:46 on localhost [Seed = 2227347006] Type ? for help. Type -D to quit. Loading file "L13n4447__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4447 geometric_solution 11.39066856 oriented_manifold CS_known 0.0000000000000003 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 1 0 0 -1 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 1 -1 0 -8 0 0 8 -2 -1 0 3 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.513926758122 1.015729221711 0 5 5 6 0132 0132 0321 0132 1 1 1 0 0 0 0 0 -1 0 1 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 1 0 -1 8 0 -8 0 -8 8 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671814517866 0.511405221523 3 0 7 4 1023 0132 0132 1023 1 1 1 0 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 -1 9 -8 0 0 0 0 -9 8 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.036990948189 0.714981653890 6 2 7 0 0132 1023 1023 0132 1 1 1 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 0 0 0 0 0 0 -1 1 9 0 -9 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.534416507027 0.737474152187 8 9 0 2 0132 0132 0132 1023 1 1 1 0 0 0 0 0 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 0 0 0 0 0 -8 8 0 1 0 -1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178505090983 1.038414148164 10 1 1 7 0132 0132 0321 1230 1 0 0 1 0 0 0 0 0 0 0 0 1 -1 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 1 0 -1 0 -3 3 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671814517866 0.511405221523 3 8 1 9 0132 3120 0132 3120 1 1 0 1 0 0 0 0 1 0 0 -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 1 -1 -9 0 0 9 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995324419375 0.605413009407 5 11 3 2 3012 0132 1023 0132 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 0 0 0 0 0 0 9 -9 -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 -0.203762578474 0.771960798701 4 6 9 10 0132 3120 1023 2031 1 1 0 1 0 -1 1 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 9 -9 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.193485452356 0.623749629427 6 4 8 11 3120 0132 1023 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -9 0 9 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 0.107796631768 0.873225809540 5 8 12 12 0132 1302 3201 0132 1 0 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 -1 0 1 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 0.847849026307 1.068576653765 12 7 9 12 3012 0132 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533593857428 0.837183988438 10 11 10 11 2310 0321 0132 1230 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 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 -0.479688734337 0.727555951757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : 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_0101_1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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' : 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' : d['c_1001_12'], 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_0']), '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'], 'c_1100_12' : negation(d['c_0011_12']), '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_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_1']), 'c_0110_12' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], '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_8'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11'], '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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_8, c_0101_9, c_1001_11, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 8165528960791/54165015924*c_1100_0^12 + 36556869462659/13541253981*c_1100_0^11 - 129392623260649/13541253981*c_1100_0^10 + 207721398276928/13541253981*c_1100_0^9 - 76522253188398/4513751327*c_1100_0^8 + 505363106026795/27082507962*c_1100_0^7 - 592217263403743/27082507962*c_1100_0^6 + 1341149401557235/54165015924*c_1100_0^5 - 654139654722503/27082507962*c_1100_0^4 + 986278990365385/54165015924*c_1100_0^3 - 83996749503295/9027502654*c_1100_0^2 + 186707819487559/54165015924*c_1100_0 - 51807281125871/54165015924, c_0011_0 - 1, c_0011_11 - 71313717/34456117*c_1100_0^12 + 1210093550/34456117*c_1100_0^11 - 3400122765/34456117*c_1100_0^10 + 4322137777/34456117*c_1100_0^9 - 4386072960/34456117*c_1100_0^8 + 4779584009/34456117*c_1100_0^7 - 6095317693/34456117*c_1100_0^6 + 6746197720/34456117*c_1100_0^5 - 5762642875/34456117*c_1100_0^4 + 3366768931/34456117*c_1100_0^3 - 1506206050/34456117*c_1100_0^2 + 608003007/34456117*c_1100_0 - 75413562/34456117, c_0011_12 - 77710363/68912234*c_1100_0^12 + 663278753/34456117*c_1100_0^11 - 1909323325/34456117*c_1100_0^10 + 2387559869/34456117*c_1100_0^9 - 2475014100/34456117*c_1100_0^8 + 2995792338/34456117*c_1100_0^7 - 3546404551/34456117*c_1100_0^6 + 7489913077/68912234*c_1100_0^5 - 3392628682/34456117*c_1100_0^4 + 4677839967/68912234*c_1100_0^3 - 1007629284/34456117*c_1100_0^2 + 784338723/68912234*c_1100_0 - 142958383/68912234, c_0011_4 + 23251817/68912234*c_1100_0^12 - 396032669/68912234*c_1100_0^11 + 566720095/34456117*c_1100_0^10 - 1481435705/68912234*c_1100_0^9 + 808091855/34456117*c_1100_0^8 - 925824078/34456117*c_1100_0^7 + 1048662371/34456117*c_1100_0^6 - 1154231523/34456117*c_1100_0^5 + 2311485271/68912234*c_1100_0^4 - 731585712/34456117*c_1100_0^3 + 277955497/34456117*c_1100_0^2 - 253084931/68912234*c_1100_0 + 94623747/68912234, c_0101_0 - 1, c_0101_1 - 19254097/68912234*c_1100_0^12 + 314497313/68912234*c_1100_0^11 - 358348157/34456117*c_1100_0^10 + 693403173/68912234*c_1100_0^9 - 832226627/68912234*c_1100_0^8 + 480399321/34456117*c_1100_0^7 - 1044039475/68912234*c_1100_0^6 + 622748232/34456117*c_1100_0^5 - 1045874077/68912234*c_1100_0^4 + 214339345/34456117*c_1100_0^3 - 164319931/68912234*c_1100_0^2 + 99002827/34456117*c_1100_0 + 12081882/34456117, c_0101_11 - 31829997/68912234*c_1100_0^12 + 543345963/68912234*c_1100_0^11 - 786178249/34456117*c_1100_0^10 + 2075325619/68912234*c_1100_0^9 - 2048437415/68912234*c_1100_0^8 + 997211457/34456117*c_1100_0^7 - 2549268147/68912234*c_1100_0^6 + 1513348625/34456117*c_1100_0^5 - 2568819093/68912234*c_1100_0^4 + 674166079/34456117*c_1100_0^3 - 293620055/68912234*c_1100_0^2 + 23458768/34456117*c_1100_0 + 19749066/34456117, c_0101_2 - 10177045/68912234*c_1100_0^12 + 184305965/68912234*c_1100_0^11 - 662405471/68912234*c_1100_0^10 + 420161884/34456117*c_1100_0^9 - 256453915/34456117*c_1100_0^8 + 575416889/68912234*c_1100_0^7 - 915895833/68912234*c_1100_0^6 + 519821502/34456117*c_1100_0^5 - 319762067/34456117*c_1100_0^4 + 101329861/34456117*c_1100_0^3 + 120560193/68912234*c_1100_0^2 - 140220291/68912234*c_1100_0 + 26736468/34456117, c_0101_8 + 4412308/34456117*c_1100_0^12 - 69393661/34456117*c_1100_0^11 + 116672508/34456117*c_1100_0^10 + 1585346/34456117*c_1100_0^9 - 17720774/34456117*c_1100_0^8 - 44348702/34456117*c_1100_0^7 + 22949933/34456117*c_1100_0^6 + 11689171/34456117*c_1100_0^5 - 89684530/34456117*c_1100_0^4 + 130225234/34456117*c_1100_0^3 - 107400966/34456117*c_1100_0^2 + 27817147/34456117*c_1100_0 - 37684825/34456117, c_0101_9 - 33883296/34456117*c_1100_0^12 + 593436319/34456117*c_1100_0^11 - 3833921681/68912234*c_1100_0^10 + 2743314000/34456117*c_1100_0^9 - 5753422799/68912234*c_1100_0^8 + 3282216707/34456117*c_1100_0^7 - 3899213076/34456117*c_1100_0^6 + 4317198035/34456117*c_1100_0^5 - 8115513687/68912234*c_1100_0^4 + 5781420823/68912234*c_1100_0^3 - 2655238051/68912234*c_1100_0^2 + 526975796/34456117*c_1100_0 - 148708656/34456117, c_1001_11 - 3719629/68912234*c_1100_0^12 + 59247861/68912234*c_1100_0^11 - 103886109/68912234*c_1100_0^10 - 41982380/34456117*c_1100_0^9 + 129405699/34456117*c_1100_0^8 - 241520475/68912234*c_1100_0^7 + 173701051/68912234*c_1100_0^6 - 71381039/34456117*c_1100_0^5 + 227115246/34456117*c_1100_0^4 - 238403773/34456117*c_1100_0^3 + 318586261/68912234*c_1100_0^2 - 106226007/68912234*c_1100_0 + 27977693/34456117, c_1001_12 + 311999945/68912234*c_1100_0^12 - 2688445090/34456117*c_1100_0^11 + 8083542613/34456117*c_1100_0^10 - 10561094587/34456117*c_1100_0^9 + 10776060988/34456117*c_1100_0^8 - 12457282703/34456117*c_1100_0^7 + 14767624516/34456117*c_1100_0^6 - 32678828505/68912234*c_1100_0^5 + 14661577897/34456117*c_1100_0^4 - 19423948415/68912234*c_1100_0^3 + 3796897501/34456117*c_1100_0^2 - 3084577641/68912234*c_1100_0 + 463064097/68912234, c_1100_0^13 - 18*c_1100_0^12 + 65*c_1100_0^11 - 107*c_1100_0^10 + 120*c_1100_0^9 - 132*c_1100_0^8 + 155*c_1100_0^7 - 176*c_1100_0^6 + 173*c_1100_0^5 - 133*c_1100_0^4 + 71*c_1100_0^3 - 28*c_1100_0^2 + 9*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB