Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 3785391259] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3240 geometric_solution 6.37498377 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2103 0132 0132 0 0 0 0 0 0 -1 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 -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 0.605110191917 0.893721435909 0 0 5 4 0132 2103 0132 0132 0 0 0 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 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 1.290475780298 1.078370054620 3 6 5 0 0321 0132 3201 0132 0 0 0 0 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 0 0 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 0.667295341070 1.173390767860 2 4 0 6 0321 1302 0132 1023 0 0 0 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 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 0.790363173431 1.360486435524 4 4 1 3 1302 2031 0132 2031 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425806524840 0.647161848318 2 6 6 1 2310 3201 2103 0132 0 0 0 0 0 1 0 -1 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 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 -0.250763667131 0.627326727820 5 2 5 3 2103 0132 2310 1023 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 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 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 0.198541775292 0.614438599959 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], '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_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0110_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_1, c_0110_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 40869688623/11208818524*c_0110_6^12 - 12361557081/11208818524*c_0110_6^11 - 189594863275/11208818524*c_0110_6^10 + 177906088516/2802204631*c_0110_6^9 + 33394287187/5604409262*c_0110_6^8 + 426604160586/2802204631*c_0110_6^7 - 7555196327527/11208818524*c_0110_6^6 + 1913080255889/2802204631*c_0110_6^5 - 2185450129698/2802204631*c_0110_6^4 + 20174315254729/11208818524*c_0110_6^3 - 22177922938447/11208818524*c_0110_6^2 + 10151279092717/11208818524*c_0110_6 - 1638173272789/11208818524, c_0011_0 - 1, c_0011_2 + 4604661969/5604409262*c_0110_6^12 + 4000599475/2802204631*c_0110_6^11 + 33537954471/5604409262*c_0110_6^10 - 15257428585/2802204631*c_0110_6^9 - 22766383899/2802204631*c_0110_6^8 - 129762869311/2802204631*c_0110_6^7 + 471056511907/5604409262*c_0110_6^6 - 229088126195/5604409262*c_0110_6^5 + 707836331543/5604409262*c_0110_6^4 - 1267032315959/5604409262*c_0110_6^3 + 787496173045/5604409262*c_0110_6^2 - 82242656120/2802204631*c_0110_6 + 1877010951/5604409262, c_0011_3 + 17295408297/11208818524*c_0110_6^12 + 15698906125/5604409262*c_0110_6^11 + 128941023465/11208818524*c_0110_6^10 - 103326557933/11208818524*c_0110_6^9 - 174163163549/11208818524*c_0110_6^8 - 987809791683/11208818524*c_0110_6^7 + 422680602404/2802204631*c_0110_6^6 - 189153662281/2802204631*c_0110_6^5 + 1317793410939/5604409262*c_0110_6^4 - 4574214017551/11208818524*c_0110_6^3 + 664618262648/2802204631*c_0110_6^2 - 515288635875/11208818524*c_0110_6 + 6429689723/2802204631, c_0011_5 - 17226774885/11208818524*c_0110_6^12 - 32142614901/11208818524*c_0110_6^11 - 130642135913/11208818524*c_0110_6^10 + 23765182249/2802204631*c_0110_6^9 + 86819323013/5604409262*c_0110_6^8 + 248793076888/2802204631*c_0110_6^7 - 1625053614593/11208818524*c_0110_6^6 + 354848375473/5604409262*c_0110_6^5 - 1317039893781/5604409262*c_0110_6^4 + 4424985815467/11208818524*c_0110_6^3 - 2512931864821/11208818524*c_0110_6^2 + 495819762045/11208818524*c_0110_6 - 27614914919/11208818524, c_0101_1 - 5582969771/11208818524*c_0110_6^12 - 9103572713/11208818524*c_0110_6^11 - 39759380495/11208818524*c_0110_6^10 + 20271186843/5604409262*c_0110_6^9 + 12113045499/2802204631*c_0110_6^8 + 151533393737/5604409262*c_0110_6^7 - 608329512425/11208818524*c_0110_6^6 + 173840423239/5604409262*c_0110_6^5 - 432390983771/5604409262*c_0110_6^4 + 1626833998741/11208818524*c_0110_6^3 - 1132286662985/11208818524*c_0110_6^2 + 255866592279/11208818524*c_0110_6 + 1505246169/11208818524, c_0110_4 + 21777269411/11208818524*c_0110_6^12 + 18709065401/5604409262*c_0110_6^11 + 157710112077/11208818524*c_0110_6^10 - 147704131353/11208818524*c_0110_6^9 - 213613132869/11208818524*c_0110_6^8 - 1221338098039/11208818524*c_0110_6^7 + 1128222269659/5604409262*c_0110_6^6 - 556362014213/5604409262*c_0110_6^5 + 1675939719935/5604409262*c_0110_6^4 - 6066619031599/11208818524*c_0110_6^3 + 1896726265195/5604409262*c_0110_6^2 - 796591287715/11208818524*c_0110_6 + 6269188622/2802204631, c_0110_6^13 + c_0110_6^12 + 6*c_0110_6^11 - 12*c_0110_6^10 - 5*c_0110_6^9 - 49*c_0110_6^8 + 144*c_0110_6^7 - 125*c_0110_6^6 + 190*c_0110_6^5 - 389*c_0110_6^4 + 373*c_0110_6^3 - 160*c_0110_6^2 + 27*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB