Magma V2.19-8 Wed Aug 21 2013 01:03:43 on localhost [Seed = 1091000698] Type ? for help. Type -D to quit. Loading file "L14n22067__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n22067 geometric_solution 12.08089115 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 0 0 1 0 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196952639909 0.418273900690 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094837030960 1.342124699109 8 0 4 9 0132 0132 0132 0132 0 1 1 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289987916652 0.960071138069 6 10 11 0 0213 0132 0132 0132 0 1 1 1 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 -1 1 0 0 0 4 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688540546871 0.685074884920 6 12 0 2 1230 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210136304390 1.298057058879 8 1 11 12 1023 0132 3012 1023 1 0 1 1 0 0 -1 1 0 0 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 4 -4 0 0 -1 1 -1 5 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714293800112 1.562943055427 3 4 1 7 0213 3012 0132 2310 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 0.492346452691 0.986922677642 6 9 10 1 3201 1023 1302 0132 1 1 1 1 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 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351636223464 0.437046412207 2 5 10 12 0132 1023 0132 0132 0 1 1 1 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 5 0 -5 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 0.309462868596 0.879962323764 7 10 2 11 1023 0213 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.697291687086 0.791515249022 7 3 9 8 2031 0132 0213 0132 0 1 1 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 0 0 0 0 1 0 -1 0 0 -5 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750550620820 0.424706663713 12 5 9 3 0132 1230 0132 0132 0 1 1 1 0 -1 0 1 -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 1 0 -1 4 0 0 -4 1 0 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076531676396 1.184754133382 11 4 8 5 0132 0132 0132 1023 0 1 1 1 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 0 1 -1 -4 0 0 4 -4 0 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046169379067 0.825298252438 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0110_5'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0101_5'], 's_3_11' : 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_0011_7'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1001_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'], 'c_1100_12' : d['c_1001_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' : d['c_0011_7'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : d['c_0011_7'], '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_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_10']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : negation(d['c_0011_10']), 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_10']})} 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_6, c_0011_7, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_0110_5, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2371664571208185/196205554997192*c_1100_0^12 - 5003692865816503/196205554997192*c_1100_0^11 - 23987929472647239/196205554997192*c_1100_0^10 + 56709776780376061/196205554997192*c_1100_0^9 + 3980754952797911/7546367499892*c_1100_0^8 - 101432498321101933/98102777498596*c_1100_0^7 - 33619658181486646/24525694374649*c_1100_0^6 + 317157673246558019/196205554997192*c_1100_0^5 + 182872283828376357/98102777498596*c_1100_0^4 - 53312286271515735/49051388749298*c_1100_0^3 - 202151470781752325/196205554997192*c_1100_0^2 + 44934864272501035/98102777498596*c_1100_0 + 16772525972930489/49051388749298, c_0011_0 - 1, c_0011_10 + 625196981/4043102372*c_1100_0^12 - 2238031089/4043102372*c_1100_0^11 - 3075064887/4043102372*c_1100_0^10 + 19876901935/4043102372*c_1100_0^9 - 1462340607/2021551186*c_1100_0^8 - 25594733867/2021551186*c_1100_0^7 + 3743514922/1010775593*c_1100_0^6 + 58067860511/4043102372*c_1100_0^5 - 4538036910/1010775593*c_1100_0^4 - 5982946993/2021551186*c_1100_0^3 + 2930293397/4043102372*c_1100_0^2 - 2234505915/2021551186*c_1100_0 + 1730940692/1010775593, c_0011_11 - 1192199649/4043102372*c_1100_0^12 + 4355863749/4043102372*c_1100_0^11 + 5328718111/4043102372*c_1100_0^10 - 37572491003/4043102372*c_1100_0^9 + 4540984697/2021551186*c_1100_0^8 + 45934763947/2021551186*c_1100_0^7 - 8446830691/1010775593*c_1100_0^6 - 101571676327/4043102372*c_1100_0^5 + 10582434841/1010775593*c_1100_0^4 + 7690012019/2021551186*c_1100_0^3 - 2525273837/4043102372*c_1100_0^2 - 653539507/2021551186*c_1100_0 - 2870601299/1010775593, c_0011_6 - 288999257/2021551186*c_1100_0^12 + 575258066/1010775593*c_1100_0^11 + 469765250/1010775593*c_1100_0^10 - 4726535272/1010775593*c_1100_0^9 + 4949918757/2021551186*c_1100_0^8 + 10694446036/1010775593*c_1100_0^7 - 6845999041/1010775593*c_1100_0^6 - 23888196659/2021551186*c_1100_0^5 + 16306813153/2021551186*c_1100_0^4 + 1744280299/1010775593*c_1100_0^3 - 1024348375/2021551186*c_1100_0^2 + 630594461/2021551186*c_1100_0 - 1402988079/1010775593, c_0011_7 - 311591677/4043102372*c_1100_0^12 + 1314513415/4043102372*c_1100_0^11 + 681217849/4043102372*c_1100_0^10 - 10285058105/4043102372*c_1100_0^9 + 1993673097/1010775593*c_1100_0^8 + 10005120957/2021551186*c_1100_0^7 - 4822634932/1010775593*c_1100_0^6 - 15776278467/4043102372*c_1100_0^5 + 8020610149/2021551186*c_1100_0^4 - 3816453895/2021551186*c_1100_0^3 + 7701195739/4043102372*c_1100_0^2 + 268734634/1010775593*c_1100_0 - 561208175/1010775593, c_0101_1 + 38685155/2021551186*c_1100_0^12 - 200298289/2021551186*c_1100_0^11 + 32094142/1010775593*c_1100_0^10 + 1368098681/2021551186*c_1100_0^9 - 2110167799/2021551186*c_1100_0^8 - 861091381/1010775593*c_1100_0^7 + 2116132878/1010775593*c_1100_0^6 + 736854585/2021551186*c_1100_0^5 - 1507665055/1010775593*c_1100_0^4 + 240426387/2021551186*c_1100_0^3 - 625426390/1010775593*c_1100_0^2 + 3185726223/2021551186*c_1100_0 + 112056797/1010775593, c_0101_11 + 445462119/2021551186*c_1100_0^12 - 1587566163/2021551186*c_1100_0^11 - 1110997304/1010775593*c_1100_0^10 + 14132933613/2021551186*c_1100_0^9 - 1635731829/2021551186*c_1100_0^8 - 18562817742/1010775593*c_1100_0^7 + 4689884634/1010775593*c_1100_0^6 + 45240353691/2021551186*c_1100_0^5 - 6916319850/1010775593*c_1100_0^4 - 11254258011/2021551186*c_1100_0^3 + 1365704318/1010775593*c_1100_0^2 - 1966640601/2021551186*c_1100_0 + 2285297776/1010775593, c_0101_5 - 474009571/4043102372*c_1100_0^12 + 1766672261/4043102372*c_1100_0^11 + 2085316501/4043102372*c_1100_0^10 - 15232918915/4043102372*c_1100_0^9 + 1962184877/2021551186*c_1100_0^8 + 18829000763/2021551186*c_1100_0^7 - 3444288823/1010775593*c_1100_0^6 - 41324809441/4043102372*c_1100_0^5 + 9251633585/2021551186*c_1100_0^4 + 470308085/1010775593*c_1100_0^3 - 5125721321/4043102372*c_1100_0^2 + 3256380929/2021551186*c_1100_0 - 948989464/1010775593, c_0101_8 + 245458597/4043102372*c_1100_0^12 - 738107199/4043102372*c_1100_0^11 - 1826165415/4043102372*c_1100_0^10 + 7539926069/4043102372*c_1100_0^9 + 1930980547/2021551186*c_1100_0^8 - 12210363879/2021551186*c_1100_0^7 - 1270676175/1010775593*c_1100_0^6 + 35171623319/4043102372*c_1100_0^5 + 2218580323/2021551186*c_1100_0^4 - 4527282835/1010775593*c_1100_0^3 + 1232171507/4043102372*c_1100_0^2 - 2358456273/2021551186*c_1100_0 + 1107757338/1010775593, c_0110_5 + 262756835/4043102372*c_1100_0^12 - 936717109/4043102372*c_1100_0^11 - 1328875401/4043102372*c_1100_0^10 + 8199462987/4043102372*c_1100_0^9 - 173604291/2021551186*c_1100_0^8 - 10605340251/2021551186*c_1100_0^7 + 286066846/1010775593*c_1100_0^6 + 26161379289/4043102372*c_1100_0^5 - 54293269/2021551186*c_1100_0^4 - 1477403921/1010775593*c_1100_0^3 - 2789112395/4043102372*c_1100_0^2 + 748138731/2021551186*c_1100_0 + 480546730/1010775593, c_1001_0 - 1, c_1001_11 - 371855957/4043102372*c_1100_0^12 + 1540364965/4043102372*c_1100_0^11 + 1234972709/4043102372*c_1100_0^10 - 13156422231/4043102372*c_1100_0^9 + 1751879637/1010775593*c_1100_0^8 + 16426697319/2021551186*c_1100_0^7 - 5396017953/1010775593*c_1100_0^6 - 39308359235/4043102372*c_1100_0^5 + 6140736211/1010775593*c_1100_0^4 + 2665177566/1010775593*c_1100_0^3 - 1964056279/4043102372*c_1100_0^2 - 168137588/1010775593*c_1100_0 - 1215779752/1010775593, c_1100_0^13 - 3*c_1100_0^12 - 7*c_1100_0^11 + 29*c_1100_0^10 + 14*c_1100_0^9 - 86*c_1100_0^8 - 24*c_1100_0^7 + 115*c_1100_0^6 + 22*c_1100_0^5 - 48*c_1100_0^4 - 5*c_1100_0^3 + 2*c_1100_0^2 + 8*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.560 seconds, Total memory usage: 32.09MB