Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 1831661960] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2028 geometric_solution 5.56756452 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 0 1 -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 -1 0 0 0 0 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 -0.524781772936 0.393233063888 0 2 4 3 0132 2310 0132 0132 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 -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 1.798146920865 1.115333796796 5 6 0 1 0132 0132 0132 3201 0 0 0 0 0 -1 1 0 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 0 0 0 0 0 0 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 0.818244347925 0.733663275289 6 5 1 5 2103 3201 0132 2031 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272081160956 0.598595620440 5 4 4 1 3120 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627406434676 0.515601828744 2 3 3 4 0132 1302 2310 3120 0 0 0 0 0 0 0 0 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 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 1.092157088581 0.712815386466 6 2 3 6 3012 0132 2103 1230 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 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 1.027315601782 0.676258528112 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0']})} 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_4, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 17779887/90599*c_0101_5^14 + 95879256/90599*c_0101_5^13 + 435872179/181198*c_0101_5^12 + 545508923/181198*c_0101_5^11 + 219945181/181198*c_0101_5^10 - 332087933/90599*c_0101_5^9 - 1506195349/181198*c_0101_5^8 - 767221173/90599*c_0101_5^7 - 333975516/90599*c_0101_5^6 + 580815379/181198*c_0101_5^5 + 1210696815/181198*c_0101_5^4 + 494202746/90599*c_0101_5^3 + 240075774/90599*c_0101_5^2 + 56819359/181198*c_0101_5 - 15157733/90599, c_0011_0 - 1, c_0011_2 - 271181727/15130033*c_0101_5^14 - 1218256284/15130033*c_0101_5^13 - 2354793940/15130033*c_0101_5^12 - 2524905344/15130033*c_0101_5^11 - 92772296/15130033*c_0101_5^10 + 4773993503/15130033*c_0101_5^9 + 7881712096/15130033*c_0101_5^8 + 6604452524/15130033*c_0101_5^7 + 1049292522/15130033*c_0101_5^6 - 4792209603/15130033*c_0101_5^5 - 5867675544/15130033*c_0101_5^4 - 3927164568/15130033*c_0101_5^3 - 1145189802/15130033*c_0101_5^2 + 254482801/15130033*c_0101_5 + 38547413/15130033, c_0011_3 - 170631432/15130033*c_0101_5^14 - 787823877/15130033*c_0101_5^13 - 1452874558/15130033*c_0101_5^12 - 1270659430/15130033*c_0101_5^11 + 448826486/15130033*c_0101_5^10 + 3277334940/15130033*c_0101_5^9 + 4528021251/15130033*c_0101_5^8 + 2724734195/15130033*c_0101_5^7 - 571939246/15130033*c_0101_5^6 - 3001828380/15130033*c_0101_5^5 - 2869463964/15130033*c_0101_5^4 - 1392714748/15130033*c_0101_5^3 - 297037595/15130033*c_0101_5^2 + 33308868/15130033*c_0101_5 - 5161955/15130033, c_0011_4 - 172430685/15130033*c_0101_5^14 - 722097282/15130033*c_0101_5^13 - 1245243868/15130033*c_0101_5^12 - 1196718839/15130033*c_0101_5^11 + 118615581/15130033*c_0101_5^10 + 2591960706/15130033*c_0101_5^9 + 3842966803/15130033*c_0101_5^8 + 3113339235/15130033*c_0101_5^7 + 704619231/15130033*c_0101_5^6 - 2149277405/15130033*c_0101_5^5 - 2747585510/15130033*c_0101_5^4 - 2080237467/15130033*c_0101_5^3 - 922864435/15130033*c_0101_5^2 - 16752609/15130033*c_0101_5 + 11158872/15130033, c_0101_0 - 65832417/15130033*c_0101_5^14 - 304609215/15130033*c_0101_5^13 - 547579078/15130033*c_0101_5^12 - 468987785/15130033*c_0101_5^11 + 136349225/15130033*c_0101_5^10 + 1158895997/15130033*c_0101_5^9 + 1611182822/15130033*c_0101_5^8 + 1012267350/15130033*c_0101_5^7 + 3119692/15130033*c_0101_5^6 - 859596090/15130033*c_0101_5^5 - 976682851/15130033*c_0101_5^4 - 598704097/15130033*c_0101_5^3 - 315445411/15130033*c_0101_5^2 - 109401204/15130033*c_0101_5 + 2424922/15130033, c_0101_1 - 166583277/15130033*c_0101_5^14 - 689998554/15130033*c_0101_5^13 - 1077473058/15130033*c_0101_5^12 - 742722088/15130033*c_0101_5^11 + 651505180/15130033*c_0101_5^10 + 2690040038/15130033*c_0101_5^9 + 3034367632/15130033*c_0101_5^8 + 1432818072/15130033*c_0101_5^7 - 626996132/15130033*c_0101_5^6 - 2166995233/15130033*c_0101_5^5 - 1778056084/15130033*c_0101_5^4 - 864659017/15130033*c_0101_5^3 - 322747515/15130033*c_0101_5^2 + 10085873/15130033*c_0101_5 - 8072340/15130033, c_0101_5^15 + 17/3*c_0101_5^14 + 122/9*c_0101_5^13 + 161/9*c_0101_5^12 + 9*c_0101_5^11 - 163/9*c_0101_5^10 - 424/9*c_0101_5^9 - 467/9*c_0101_5^8 - 242/9*c_0101_5^7 + 119/9*c_0101_5^6 + 115/3*c_0101_5^5 + 314/9*c_0101_5^4 + 19*c_0101_5^3 + 13/3*c_0101_5^2 - 8/9*c_0101_5 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB