Magma V2.19-8 Wed Aug 21 2013 01:09:30 on localhost [Seed = 2951329323] Type ? for help. Type -D to quit. Loading file "L14n46793__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46793 geometric_solution 12.07467650 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 2 2 2 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 -1 0 1 -2 0 2 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 0.439560180948 0.643714465369 0 4 3 5 0132 0132 3012 0132 2 2 1 2 0 0 1 -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 0 1 -1 2 0 -2 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769347623645 0.883663468229 0 0 4 6 2031 0132 1230 0132 2 2 1 2 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 1 0 -1 0 0 0 0 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276541162239 1.059470213979 3 1 0 3 3201 1230 0132 2310 2 2 2 2 0 1 0 -1 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 2 -1 -1 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 0.810180185045 0.944570731650 5 1 7 2 0213 0132 0132 3012 2 2 2 1 0 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 2 -2 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 1.054001130328 0.731420646053 4 8 1 7 0213 0132 0132 0132 2 2 2 1 0 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 1 1 -2 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.110562429784 0.762678384215 9 10 2 8 0132 0132 0132 1302 2 2 2 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 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177688577619 1.200059572573 8 11 5 4 0321 0132 0132 0132 2 2 1 2 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 2 -2 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 0.577960012426 0.570712967497 7 5 6 12 0321 0132 2031 0132 2 2 1 2 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 -1 1 0 0 0 1 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.229798092219 1.064503437552 6 12 11 10 0132 2031 1230 1023 0 2 1 2 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 1 -1 0 0 0 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 0.777107449939 1.134090089028 11 6 12 9 0132 0132 1230 1023 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.439632187030 0.407707534161 10 7 12 9 0132 0132 0213 3012 2 0 2 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 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 0.777107449939 1.134090089028 9 11 8 10 1302 0213 0132 3012 2 2 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 0 0 0 0 0 0 0 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.222892550061 1.134090089028 ==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_1001_10'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_0101_6'], 's_0_10' : negation(d['1']), 's_3_10' : 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_0011_12'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_1001_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_10']), '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_10'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_9']})} 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_12, c_0011_3, c_0011_5, c_0101_1, c_0101_10, c_0101_6, c_0101_7, c_0101_9, c_1001_10, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1146526655735384637794097/1095011670664527946540000*c_1001_2^10 + 6989908784194467557853989/547505835332263973270000*c_1001_2^9 - 13858444899435062137814887/273752917666131986635000*c_1001_2^8 + 10196377153691935416839081/156430238666361135220000*c_1001_2^7 + 198228536873314549894261/78215119333180567610000*c_1001_2^6 + 1715129311910016853635143/1095011670664527946540000*c_1001_2^5 - 4408998293584687150922999/43800466826581117861600*c_1001_2^4 - 4663577644537751642100833/34219114708266498329375*c_1001_2^3 - 144472645123405666216501697/547505835332263973270000*c_1001_2^2 - 43667385183669147625415331/219002334132905589308000*c_1001_2 - 98017457376252006427219321/1095011670664527946540000, c_0011_0 - 1, c_0011_10 + 6022632827/161131484993*c_1001_2^10 - 79511122307/161131484993*c_1001_2^9 + 370858746673/161131484993*c_1001_2^8 - 738847798004/161131484993*c_1001_2^7 + 658763731894/161131484993*c_1001_2^6 - 427447048365/161131484993*c_1001_2^5 + 581402148870/161131484993*c_1001_2^4 + 507253362046/161131484993*c_1001_2^3 + 1036773566814/161131484993*c_1001_2^2 + 253725442461/161131484993*c_1001_2 + 203239085034/161131484993, c_0011_12 - 6692564496/161131484993*c_1001_2^10 + 90092899906/161131484993*c_1001_2^9 - 434959141970/161131484993*c_1001_2^8 + 926452398650/161131484993*c_1001_2^7 - 932502397142/161131484993*c_1001_2^6 + 617901227639/161131484993*c_1001_2^5 - 717273932293/161131484993*c_1001_2^4 - 354045039107/161131484993*c_1001_2^3 - 995857300411/161131484993*c_1001_2^2 - 95675906847/161131484993*c_1001_2 - 260227373157/161131484993, c_0011_3 + 31391023/161131484993*c_1001_2^10 - 1255714298/161131484993*c_1001_2^9 + 11505400877/161131484993*c_1001_2^8 - 35760440904/161131484993*c_1001_2^7 + 18169851411/161131484993*c_1001_2^6 + 55570680974/161131484993*c_1001_2^5 + 13489698635/161131484993*c_1001_2^4 - 146707144472/161131484993*c_1001_2^3 - 131345212395/161131484993*c_1001_2^2 - 156271970938/161131484993*c_1001_2 - 170711249111/161131484993, c_0011_5 + 2244894489/161131484993*c_1001_2^10 - 26461123965/161131484993*c_1001_2^9 + 96172274803/161131484993*c_1001_2^8 - 80577197201/161131484993*c_1001_2^7 - 119137411424/161131484993*c_1001_2^6 + 45198340934/161131484993*c_1001_2^5 + 312682689285/161131484993*c_1001_2^4 + 199550136897/161131484993*c_1001_2^3 + 775429387531/161131484993*c_1001_2^2 + 402658722535/161131484993*c_1001_2 + 148071645377/161131484993, c_0101_1 - 1, c_0101_10 - 1, c_0101_6 + 31391023/161131484993*c_1001_2^10 - 1255714298/161131484993*c_1001_2^9 + 11505400877/161131484993*c_1001_2^8 - 35760440904/161131484993*c_1001_2^7 + 18169851411/161131484993*c_1001_2^6 + 55570680974/161131484993*c_1001_2^5 + 13489698635/161131484993*c_1001_2^4 - 146707144472/161131484993*c_1001_2^3 - 131345212395/161131484993*c_1001_2^2 - 317403455931/161131484993*c_1001_2 - 170711249111/161131484993, c_0101_7 + 1758044044/161131484993*c_1001_2^10 - 20122827638/161131484993*c_1001_2^9 + 68193433370/161131484993*c_1001_2^8 - 37218651466/161131484993*c_1001_2^7 - 111329708086/161131484993*c_1001_2^6 - 20889538808/161131484993*c_1001_2^5 + 302706031752/161131484993*c_1001_2^4 + 280143833578/161131484993*c_1001_2^3 + 488680335863/161131484993*c_1001_2^2 + 510276174873/161131484993*c_1001_2 + 162135997729/161131484993, c_0101_9 + 2785792237/161131484993*c_1001_2^10 - 34913460193/161131484993*c_1001_2^9 + 144930050823/161131484993*c_1001_2^8 - 200633410612/161131484993*c_1001_2^7 - 45324791067/161131484993*c_1001_2^6 + 227176112700/161131484993*c_1001_2^5 + 35099042365/161131484993*c_1001_2^4 + 357478175800/161131484993*c_1001_2^3 + 538101277519/161131484993*c_1001_2^2 + 363336037073/161131484993*c_1001_2 + 93102136599/161131484993, c_1001_10 + 3113872808/161131484993*c_1001_2^10 - 37740621240/161131484993*c_1001_2^9 + 146517416756/161131484993*c_1001_2^8 - 167237979568/161131484993*c_1001_2^7 - 92773389545/161131484993*c_1001_2^6 + 156525481197/161131484993*c_1001_2^5 + 77253687139/161131484993*c_1001_2^4 + 586456829170/161131484993*c_1001_2^3 + 729415058479/161131484993*c_1001_2^2 + 490307786842/161131484993*c_1001_2 - 110716587613/161131484993, c_1001_11 - 31391023/161131484993*c_1001_2^10 + 1255714298/161131484993*c_1001_2^9 - 11505400877/161131484993*c_1001_2^8 + 35760440904/161131484993*c_1001_2^7 - 18169851411/161131484993*c_1001_2^6 - 55570680974/161131484993*c_1001_2^5 - 13489698635/161131484993*c_1001_2^4 + 146707144472/161131484993*c_1001_2^3 + 131345212395/161131484993*c_1001_2^2 + 317403455931/161131484993*c_1001_2 + 170711249111/161131484993, c_1001_2^11 - 12*c_1001_2^10 + 46*c_1001_2^9 - 53*c_1001_2^8 - 14*c_1001_2^7 - 3*c_1001_2^6 + 97*c_1001_2^5 + 148*c_1001_2^4 + 278*c_1001_2^3 + 239*c_1001_2^2 + 123*c_1001_2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB