Magma V2.19-8 Tue Aug 20 2013 23:52:26 on localhost [Seed = 290945587] Type ? for help. Type -D to quit. Loading file "K12n275__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n275 geometric_solution 12.02908593 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 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 1 -1 0 0 1 -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 0.658195749872 1.028346975592 0 4 4 5 0132 0132 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222128739266 0.874515505833 0 0 7 6 3012 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 0 0 0 1 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291063785156 0.875689998171 8 9 10 0 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 0 -1 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 -0.023683679694 0.528901386324 1 1 6 11 2031 0132 0213 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727154306762 1.074186934230 10 9 1 6 2103 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.249299031860 0.993385914981 5 4 2 9 3201 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.298576047435 1.161550108082 12 8 9 2 0132 2103 1230 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 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.528832298190 0.873302663143 3 7 10 12 0132 2103 2103 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580433515354 1.017482740414 6 3 5 7 3012 0132 0213 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 -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 0.611308594992 0.808439722204 8 11 5 3 2103 0321 2103 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 0.403624562616 1.357814860743 12 12 4 10 1230 2310 0132 0321 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 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666690078586 0.904486264388 7 11 8 11 0132 3012 1230 3201 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 -1 0 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471958372928 0.716384440165 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_7']), 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0110_9'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0110_9'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_0101_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0101_12']), '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'], 'c_1100_12' : negation(d['c_0011_11']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], '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_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_11, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_11, c_0101_12, c_0101_6, c_0101_7, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6792056095422/632317550425*c_1001_0^11 + 6013270391313/632317550425*c_1001_0^10 - 3049613056276/57483413675*c_1001_0^9 + 109203418614/6655974215*c_1001_0^8 + 210721152037128/632317550425*c_1001_0^7 + 37868533071693/632317550425*c_1001_0^6 + 9045723995809/632317550425*c_1001_0^5 + 313283410868154/632317550425*c_1001_0^4 + 8376347724928/37195150025*c_1001_0^3 + 18500545989939/632317550425*c_1001_0^2 + 145470116802/6655974215*c_1001_0 + 4156754814152/632317550425, c_0011_0 - 1, c_0011_10 - 17410/3553*c_1001_0^11 - 130759/17765*c_1001_0^10 + 7370/323*c_1001_0^9 + 141917/17765*c_1001_0^8 - 2902343/17765*c_1001_0^7 - 2061384/17765*c_1001_0^6 + 52942/3553*c_1001_0^5 - 4281793/17765*c_1001_0^4 - 249253/1045*c_1001_0^3 - 312343/17765*c_1001_0^2 - 319271/17765*c_1001_0 - 205551/17765, c_0011_11 + 66222/17765*c_1001_0^11 + 91431/17765*c_1001_0^10 - 28498/1615*c_1001_0^9 - 66503/17765*c_1001_0^8 + 2186182/17765*c_1001_0^7 + 1322483/17765*c_1001_0^6 - 187184/17765*c_1001_0^5 + 3255599/17765*c_1001_0^4 + 168936/1045*c_1001_0^3 + 1812/187*c_1001_0^2 + 253068/17765*c_1001_0 + 150208/17765, c_0011_3 + 51382/17765*c_1001_0^11 + 17788/3553*c_1001_0^10 - 21252/1615*c_1001_0^9 - 145633/17765*c_1001_0^8 + 1756281/17765*c_1001_0^7 + 1571101/17765*c_1001_0^6 - 48766/3553*c_1001_0^5 + 507171/3553*c_1001_0^4 + 179233/1045*c_1001_0^3 + 195828/17765*c_1001_0^2 + 154991/17765*c_1001_0 + 151752/17765, c_0011_5 + 6879/3553*c_1001_0^11 + 41053/17765*c_1001_0^10 - 15318/1615*c_1001_0^9 - 489/3553*c_1001_0^8 + 1125533/17765*c_1001_0^7 + 486291/17765*c_1001_0^6 - 130177/17765*c_1001_0^5 + 1687207/17765*c_1001_0^4 + 70039/1045*c_1001_0^3 - 1261/935*c_1001_0^2 + 118831/17765*c_1001_0 + 60508/17765, c_0011_6 - 863/209*c_1001_0^11 - 1114/209*c_1001_0^10 + 376/19*c_1001_0^9 + 493/209*c_1001_0^8 - 28265/209*c_1001_0^7 - 789/11*c_1001_0^6 + 2363/209*c_1001_0^5 - 41617/209*c_1001_0^4 - 33861/209*c_1001_0^3 - 1625/209*c_1001_0^2 - 2645/209*c_1001_0 - 1608/209, c_0101_0 + 7792/3553*c_1001_0^11 + 2823/935*c_1001_0^10 - 16642/1615*c_1001_0^9 - 7892/3553*c_1001_0^8 + 1276992/17765*c_1001_0^7 + 787944/17765*c_1001_0^6 - 70678/17765*c_1001_0^5 + 1850238/17765*c_1001_0^4 + 99266/1045*c_1001_0^3 + 162084/17765*c_1001_0^2 + 88229/17765*c_1001_0 + 76172/17765, c_0101_11 + 124/187*c_1001_0^11 + 2121/935*c_1001_0^10 - 206/85*c_1001_0^9 - 1420/187*c_1001_0^8 + 24746/935*c_1001_0^7 + 50077/935*c_1001_0^6 - 8244/935*c_1001_0^5 + 34849/935*c_1001_0^4 + 4968/55*c_1001_0^3 + 7757/935*c_1001_0^2 + 4932/935*c_1001_0 + 4736/935, c_0101_12 + 36063/17765*c_1001_0^11 + 67521/17765*c_1001_0^10 - 14494/1615*c_1001_0^9 - 126212/17765*c_1001_0^8 + 248126/3553*c_1001_0^7 + 1255901/17765*c_1001_0^6 - 136794/17765*c_1001_0^5 + 1818689/17765*c_1001_0^4 + 27972/209*c_1001_0^3 + 13366/935*c_1001_0^2 + 173376/17765*c_1001_0 + 128944/17765, c_0101_6 - 56616/17765*c_1001_0^11 - 90624/17765*c_1001_0^10 + 4796/323*c_1001_0^9 + 123339/17765*c_1001_0^8 - 1922262/17765*c_1001_0^7 - 79029/935*c_1001_0^6 + 297546/17765*c_1001_0^5 - 2792721/17765*c_1001_0^4 - 177266/1045*c_1001_0^3 - 103317/17765*c_1001_0^2 - 181961/17765*c_1001_0 - 29692/3553, c_0101_7 - 63409/17765*c_1001_0^11 - 98541/17765*c_1001_0^10 + 26966/1615*c_1001_0^9 + 121878/17765*c_1001_0^8 - 2141002/17765*c_1001_0^7 - 317728/3553*c_1001_0^6 + 301068/17765*c_1001_0^5 - 3148721/17765*c_1001_0^4 - 37872/209*c_1001_0^3 - 92133/17765*c_1001_0^2 - 230422/17765*c_1001_0 - 152187/17765, c_0110_9 + 46817/17765*c_1001_0^11 + 76356/17765*c_1001_0^10 - 19928/1615*c_1001_0^9 - 108618/17765*c_1001_0^8 + 1604822/17765*c_1001_0^7 + 1269448/17765*c_1001_0^6 - 303329/17765*c_1001_0^5 + 2372824/17765*c_1001_0^4 + 150006/1045*c_1001_0^3 + 103/187*c_1001_0^2 + 203358/17765*c_1001_0 + 136088/17765, c_1001_0^12 + 2*c_1001_0^11 - 4*c_1001_0^10 - 4*c_1001_0^9 + 33*c_1001_0^8 + 40*c_1001_0^7 + 6*c_1001_0^6 + 48*c_1001_0^5 + 73*c_1001_0^4 + 24*c_1001_0^3 + 5*c_1001_0^2 + 4*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.910 Total time: 5.120 seconds, Total memory usage: 64.12MB