Magma V2.19-8 Tue Aug 20 2013 17:57:16 on localhost [Seed = 947489848] Type ? for help. Type -D to quit. Loading file "9^2_11__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_11 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 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 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594258740486 0.447679430242 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 -1 1 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 -3 3 0 0 0 0 0 -1 0 0 1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113332650301 2.001584935192 0 0 6 5 3012 0132 0132 2310 1 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 -1 1 0 1 0 0 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111489427829 1.226375040997 7 8 7 0 0132 0132 3120 0132 1 1 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 -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 0.229820673646 0.989833657537 1 1 9 10 2031 0132 0132 0132 1 1 0 1 0 1 -1 0 -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 0 0 0 0 3 -3 0 -3 0 0 3 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971802092512 0.498007473420 2 11 1 8 3201 0132 0132 1302 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143047538084 0.516315298320 10 10 8 2 1230 2031 2031 0132 1 1 0 1 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 1 -1 0 0 0 0 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 3 11 3 9 0132 3012 3120 3012 1 1 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 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 0.229820673646 0.989833657537 9 3 5 6 0132 0132 2031 1302 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466085563922 1.265924999158 8 11 7 4 0132 0321 1230 0132 1 1 1 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 0 0 0 0 0 0 0 0 -4 1 3 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 1.090338549456 0.895819803256 6 6 4 11 1302 3012 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -4 0 4 4 0 -3 -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 0.871826823436 0.818245568916 7 5 10 9 1230 0132 0132 0321 1 1 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 0 0 0 0 -4 4 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 0.768177402796 0.365433762238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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_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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_11'], '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_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_4'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0101_0, c_0101_11, c_0101_3, c_0101_4, c_0101_6, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 570649526502917/5140400663223*c_1001_4^10 + 2255702377855945/5140400663223*c_1001_4^9 + 526238491890581/1713466887741*c_1001_4^8 + 2074765416735050/5140400663223*c_1001_4^7 + 15101625687921380/5140400663223*c_1001_4^6 + 2133592752504649/1713466887741*c_1001_4^5 - 22434493685098105/5140400663223*c_1001_4^4 + 19137197971910024/5140400663223*c_1001_4^3 + 41634414164645867/5140400663223*c_1001_4^2 - 272695841929429/5140400663223*c_1001_4 + 18566001066154342/5140400663223, c_0011_0 - 1, c_0011_10 - 3244114/292450399*c_1001_4^10 + 2729754/292450399*c_1001_4^9 + 28729663/292450399*c_1001_4^8 - 16688247/292450399*c_1001_4^7 - 14038502/292450399*c_1001_4^6 + 230198486/292450399*c_1001_4^5 - 58411254/292450399*c_1001_4^4 - 416226091/292450399*c_1001_4^3 + 283600430/292450399*c_1001_4^2 + 213371323/292450399*c_1001_4 - 17513413/292450399, c_0011_11 + 9720387/292450399*c_1001_4^10 + 18569513/292450399*c_1001_4^9 - 18282713/292450399*c_1001_4^8 + 52115861/292450399*c_1001_4^7 + 153855770/292450399*c_1001_4^6 - 188596727/292450399*c_1001_4^5 - 57610577/292450399*c_1001_4^4 + 504890917/292450399*c_1001_4^3 - 54222954/292450399*c_1001_4^2 - 43077145/292450399*c_1001_4 - 153990362/292450399, c_0011_3 + 11359529/292450399*c_1001_4^10 + 5383035/292450399*c_1001_4^9 - 38141740/292450399*c_1001_4^8 + 101010984/292450399*c_1001_4^7 + 51456632/292450399*c_1001_4^6 - 373092645/292450399*c_1001_4^5 + 367101600/292450399*c_1001_4^4 + 330767955/292450399*c_1001_4^3 - 674297268/292450399*c_1001_4^2 + 635572594/292450399*c_1001_4 - 262701810/292450399, c_0011_6 - 6744375/292450399*c_1001_4^10 - 12836850/292450399*c_1001_4^9 + 9114241/292450399*c_1001_4^8 - 39088420/292450399*c_1001_4^7 - 110091298/292450399*c_1001_4^6 + 133576632/292450399*c_1001_4^5 + 76599556/292450399*c_1001_4^4 - 356511181/292450399*c_1001_4^3 + 119092411/292450399*c_1001_4^2 + 180319061/292450399*c_1001_4 - 211888408/292450399, c_0101_0 - 1, c_0101_11 + 5717721/292450399*c_1001_4^10 + 12648699/292450399*c_1001_4^9 - 4329892/292450399*c_1001_4^8 + 21487700/292450399*c_1001_4^7 + 74689592/292450399*c_1001_4^6 - 87040322/292450399*c_1001_4^5 - 109294441/292450399*c_1001_4^4 + 60097923/292450399*c_1001_4^3 + 105375754/292450399*c_1001_4^2 + 269861410/292450399*c_1001_4 - 312455942/292450399, c_0101_3 - 5568226/292450399*c_1001_4^10 - 13469893/292450399*c_1001_4^9 + 14668331/292450399*c_1001_4^8 - 23774781/292450399*c_1001_4^7 - 128738890/292450399*c_1001_4^6 + 158176019/292450399*c_1001_4^5 + 121538767/292450399*c_1001_4^4 - 525505222/292450399*c_1001_4^3 + 46036195/292450399*c_1001_4^2 + 267124435/292450399*c_1001_4 - 72598676/292450399, c_0101_4 + 6744375/292450399*c_1001_4^10 + 12836850/292450399*c_1001_4^9 - 9114241/292450399*c_1001_4^8 + 39088420/292450399*c_1001_4^7 + 110091298/292450399*c_1001_4^6 - 133576632/292450399*c_1001_4^5 - 76599556/292450399*c_1001_4^4 + 356511181/292450399*c_1001_4^3 - 119092411/292450399*c_1001_4^2 - 472769460/292450399*c_1001_4 + 211888408/292450399, c_0101_6 - 14539589/292450399*c_1001_4^10 - 29582823/292450399*c_1001_4^9 + 29634822/292450399*c_1001_4^8 - 50775594/292450399*c_1001_4^7 - 197836118/292450399*c_1001_4^6 + 351586614/292450399*c_1001_4^5 + 279738371/292450399*c_1001_4^4 - 563227162/292450399*c_1001_4^3 - 6410951/292450399*c_1001_4^2 - 80876924/292450399*c_1001_4 + 379106490/292450399, c_0110_5 - 3244114/292450399*c_1001_4^10 + 2729754/292450399*c_1001_4^9 + 28729663/292450399*c_1001_4^8 - 16688247/292450399*c_1001_4^7 - 14038502/292450399*c_1001_4^6 + 230198486/292450399*c_1001_4^5 - 58411254/292450399*c_1001_4^4 - 416226091/292450399*c_1001_4^3 + 283600430/292450399*c_1001_4^2 + 213371323/292450399*c_1001_4 - 309963812/292450399, c_1001_4^11 + 3*c_1001_4^10 - c_1001_4^9 + c_1001_4^8 + 23*c_1001_4^7 - 14*c_1001_4^6 - 50*c_1001_4^5 + 71*c_1001_4^4 + 41*c_1001_4^3 - 70*c_1001_4^2 + 33*c_1001_4 - 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB