Magma V2.19-8 Tue Aug 20 2013 23:29:37 on localhost [Seed = 1259154716] Type ? for help. Type -D to quit. Loading file "K9a23__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a23 geometric_solution 7.20360076 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 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 -1 1 0 1 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 0.732641985461 0.618370849179 0 5 4 2 0132 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589072304829 1.362462023040 3 0 1 5 0321 0132 1230 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 1 -1 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 0.456335027708 0.290460881950 2 6 7 0 0321 0132 0132 0132 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 1 0 -1 0 0 -1 1 0 0 0 0 -1 -15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021872821526 1.179141268088 4 4 0 1 1302 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.962386882897 0.781504575979 2 1 6 7 3201 0132 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.984273802770 0.847783086513 5 3 7 7 2031 0132 0213 3120 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 -1 0 1 0 0 -1 1 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289230836065 0.560770418910 6 6 5 3 3120 0213 2031 0132 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 0 0 0 -1 0 0 1 15 1 0 -16 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289230836065 0.560770418910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : negation(d['c_1001_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_0'], 'c_0101_7' : d['c_0011_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_7, c_0101_2, c_0110_4, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2009818057976/1588016075807*c_1001_1^11 + 4694785737652/1588016075807*c_1001_1^10 + 15400298604833/1588016075807*c_1001_1^9 + 23031744770323/1588016075807*c_1001_1^8 + 4333987453749/226859439401*c_1001_1^7 + 2857132271699/69044177209*c_1001_1^6 + 99966537601908/1588016075807*c_1001_1^5 + 44607666008681/1588016075807*c_1001_1^4 + 44047156975959/1588016075807*c_1001_1^3 + 92677851255849/1588016075807*c_1001_1^2 + 62767292092073/1588016075807*c_1001_1 + 3482849787933/1588016075807, c_0011_0 - 1, c_0011_3 + c_1001_1, c_0011_4 + 133908943/1409064841*c_1001_1^11 + 168336114/1409064841*c_1001_1^10 + 741190194/1409064841*c_1001_1^9 + 602516589/1409064841*c_1001_1^8 + 829329880/1409064841*c_1001_1^7 + 3139271408/1409064841*c_1001_1^6 + 2879640228/1409064841*c_1001_1^5 - 2103470364/1409064841*c_1001_1^4 + 2796347878/1409064841*c_1001_1^3 + 4481848318/1409064841*c_1001_1^2 - 2274998753/1409064841*c_1001_1 - 2157188143/1409064841, c_0011_7 - 38362501/1409064841*c_1001_1^11 - 51120369/1409064841*c_1001_1^10 - 209083259/1409064841*c_1001_1^9 - 143398497/1409064841*c_1001_1^8 - 160904135/1409064841*c_1001_1^7 - 640051995/1409064841*c_1001_1^6 - 657471947/1409064841*c_1001_1^5 + 1114508708/1409064841*c_1001_1^4 + 107235759/1409064841*c_1001_1^3 - 149985798/1409064841*c_1001_1^2 + 68024355/1409064841*c_1001_1 + 944750501/1409064841, c_0101_2 - 35574271/1409064841*c_1001_1^11 - 76345173/1409064841*c_1001_1^10 - 212195162/1409064841*c_1001_1^9 - 301755264/1409064841*c_1001_1^8 - 255893451/1409064841*c_1001_1^7 - 966532360/1409064841*c_1001_1^6 - 1639565317/1409064841*c_1001_1^5 + 272275677/1409064841*c_1001_1^4 - 145216351/1409064841*c_1001_1^3 - 2596921403/1409064841*c_1001_1^2 - 750786858/1409064841*c_1001_1 + 1439523489/1409064841, c_0110_4 - 66330620/1409064841*c_1001_1^11 - 237354361/1409064841*c_1001_1^10 - 648095949/1409064841*c_1001_1^9 - 1270373179/1409064841*c_1001_1^8 - 1536341517/1409064841*c_1001_1^7 - 2814128935/1409064841*c_1001_1^6 - 5150534155/1409064841*c_1001_1^5 - 3841341707/1409064841*c_1001_1^4 - 543756792/1409064841*c_1001_1^3 - 3540948341/1409064841*c_1001_1^2 - 5406226599/1409064841*c_1001_1 - 727943085/1409064841, c_0110_5 + 35574271/1409064841*c_1001_1^11 + 76345173/1409064841*c_1001_1^10 + 212195162/1409064841*c_1001_1^9 + 301755264/1409064841*c_1001_1^8 + 255893451/1409064841*c_1001_1^7 + 966532360/1409064841*c_1001_1^6 + 1639565317/1409064841*c_1001_1^5 - 272275677/1409064841*c_1001_1^4 + 145216351/1409064841*c_1001_1^3 + 2596921403/1409064841*c_1001_1^2 + 750786858/1409064841*c_1001_1 - 1439523489/1409064841, c_1001_1^12 + 3*c_1001_1^11 + 9*c_1001_1^10 + 16*c_1001_1^9 + 21*c_1001_1^8 + 40*c_1001_1^7 + 68*c_1001_1^6 + 48*c_1001_1^5 + 25*c_1001_1^4 + 55*c_1001_1^3 + 58*c_1001_1^2 + 12*c_1001_1 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB