Magma V2.19-8 Tue Aug 20 2013 17:56:19 on localhost [Seed = 3600245476] Type ? for help. Type -D to quit. Loading file "11_283__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_283 geometric_solution 10.26682776 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 0.152633046417 0.846634551449 0 5 3 6 0132 0132 2103 0132 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 1 -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 1.071602572143 1.100980899594 7 0 9 8 0132 0132 0132 0132 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 -1 0 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 0.534000375147 0.620514833361 1 10 9 0 2103 0132 0321 0132 0 0 0 0 0 0 0 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 0 0 0 -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 0.380369746492 1.092784053786 5 7 0 6 0132 0132 0132 3201 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 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 0.577501535269 0.752072930907 4 1 7 9 0132 0132 3120 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.356853741744 0.988131884439 8 4 1 10 3012 2310 0132 1023 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 -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 0.617974836295 0.482197039820 2 4 5 10 0132 0132 3120 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427851746744 0.823158178406 9 10 2 6 1302 0213 0132 1230 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 -1 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 0.655154388141 0.702466585781 5 8 3 2 3201 2031 0321 0132 0 0 0 0 0 0 0 0 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 1 0 0 -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 -0.043760379637 0.786513805488 7 3 8 6 3012 0132 0213 1023 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 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 0.549305231490 0.274720068051 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0110_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], '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_10' : 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_0110_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : d['c_0110_6'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0101_0'], 'c_1100_8' : d['c_0110_6'], '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_5']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : negation(d['c_0011_9']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 20245526250/420693611*c_1001_5^8 - 178643779039/420693611*c_1001_5^7 + 2374109258/1903591*c_1001_5^6 - 1055078197456/420693611*c_1001_5^\ 5 + 52549151791/24746683*c_1001_5^4 - 536230185804/420693611*c_1001_5^3 + 101764593780/420693611*c_1001_5^2 + 128077319817/420693611*c_1001_5 + 17871407836/420693611, c_0011_0 - 1, c_0011_10 + 92256/100189*c_1001_5^8 + 808811/100189*c_1001_5^7 - 2416366/100189*c_1001_5^6 + 5127082/100189*c_1001_5^5 - 4906408/100189*c_1001_5^4 + 3539791/100189*c_1001_5^3 - 1044342/100189*c_1001_5^2 - 623159/100189*c_1001_5 - 103658/100189, c_0011_6 + 75640/100189*c_1001_5^8 + 586919/100189*c_1001_5^7 - 2636698/100189*c_1001_5^6 + 6316782/100189*c_1001_5^5 - 8542005/100189*c_1001_5^4 + 7488588/100189*c_1001_5^3 - 4267522/100189*c_1001_5^2 + 689998/100189*c_1001_5 + 279678/100189, c_0011_8 - 65629/100189*c_1001_5^8 - 604238/100189*c_1001_5^7 + 1464312/100189*c_1001_5^6 - 2910936/100189*c_1001_5^5 + 1862228/100189*c_1001_5^4 - 1027515/100189*c_1001_5^3 - 333672/100189*c_1001_5^2 + 683168/100189*c_1001_5 + 278625/100189, c_0011_9 + 82420/100189*c_1001_5^8 + 781122/100189*c_1001_5^7 - 1652280/100189*c_1001_5^6 + 2994690/100189*c_1001_5^5 - 880269/100189*c_1001_5^4 - 437458/100189*c_1001_5^3 + 1824467/100189*c_1001_5^2 - 1508155/100189*c_1001_5 - 378986/100189, c_0101_0 - 92608/100189*c_1001_5^8 - 843660/100189*c_1001_5^7 + 2149866/100189*c_1001_5^6 - 4298148/100189*c_1001_5^5 + 3010938/100189*c_1001_5^4 - 1618777/100189*c_1001_5^3 - 526340/100189*c_1001_5^2 + 1149800/100189*c_1001_5 + 235797/100189, c_0101_1 - 67549/100189*c_1001_5^8 - 548405/100189*c_1001_5^7 + 2151077/100189*c_1001_5^6 - 4919979/100189*c_1001_5^5 + 6078030/100189*c_1001_5^4 - 5094878/100189*c_1001_5^3 + 2657139/100189*c_1001_5^2 - 278751/100189*c_1001_5 - 120912/100189, c_0101_5 - 16616/100189*c_1001_5^8 - 221892/100189*c_1001_5^7 - 220332/100189*c_1001_5^6 + 1189700/100189*c_1001_5^5 - 3635597/100189*c_1001_5^4 + 3948797/100189*c_1001_5^3 - 3223180/100189*c_1001_5^2 + 1313157/100189*c_1001_5 + 383336/100189, c_0110_6 - 168248/100189*c_1001_5^8 - 1430579/100189*c_1001_5^7 + 4786564/100189*c_1001_5^6 - 10614930/100189*c_1001_5^5 + 11552943/100189*c_1001_5^4 - 9107365/100189*c_1001_5^3 + 3741182/100189*c_1001_5^2 + 459802/100189*c_1001_5 - 144070/100189, c_1001_0 + 179475/100189*c_1001_5^8 + 1588296/100189*c_1001_5^7 - 4573801/100189*c_1001_5^6 + 9572378/100189*c_1001_5^5 - 8506009/100189*c_1001_5^4 + 5744376/100189*c_1001_5^3 - 949036/100189*c_1001_5^2 - 1579940/100189*c_1001_5 - 136647/100189, c_1001_5^9 + 8*c_1001_5^8 - 33*c_1001_5^7 + 75*c_1001_5^6 - 93*c_1001_5^5 + 73*c_1001_5^4 - 34*c_1001_5^3 - 3*c_1001_5^2 + 6*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB