Magma V2.19-8 Wed Aug 21 2013 01:12:08 on localhost [Seed = 2834216639] Type ? for help. Type -D to quit. Loading file "L14n58718__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58718 geometric_solution 12.15159549 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 0 0 1 -1 -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 1 0 -1 0 0 0 0 -2 1 0 1 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483524320408 1.603604373610 0 5 3 6 0132 0132 1023 0132 1 1 2 0 0 1 -1 0 1 0 -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 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.118169464575 1.420259287755 3 0 8 7 1023 0132 0132 0132 1 1 2 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 -1 0 1 0 0 0 0 4 -5 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527366619000 0.797476510511 5 2 1 0 0132 1023 1023 0132 1 1 2 0 0 0 1 -1 0 0 1 -1 0 -1 0 1 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 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023801052092 0.392270971774 8 9 0 6 0132 0132 0132 1023 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 -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 0.683487787885 0.975016983671 3 1 10 9 0132 0132 0132 3120 1 1 0 2 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582835187585 0.950508476279 10 7 1 4 0132 2103 0132 1023 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447111953577 0.775613074763 10 6 2 11 1302 2103 0132 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037760080766 1.045180700186 4 9 11 2 0132 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890064099973 0.635943716432 5 4 12 8 3120 0132 0132 0321 1 1 0 1 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 1 -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 0 0 0 1.006900807098 0.767699727747 6 7 12 5 0132 2031 3012 0132 1 1 2 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 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 0.990377973146 0.619600064460 8 11 7 11 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.477284935135 0.806966514359 12 10 12 9 2310 1230 3201 0132 1 1 1 1 0 0 -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 -1 1 1 0 -1 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 0.845825913916 1.003776240952 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : 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_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_12']), '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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), '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_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_8']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), '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_0011_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_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_12, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 42173462096678177469731711929256/4573025520179282075500973019*c_110\ 0_0^12 - 366508247583974970391787284276372/457302552017928207550097\ 3019*c_1100_0^11 + 705080823665925318466117049301242/45730255201792\ 82075500973019*c_1100_0^10 - 948605806977984099190929633663314/4573\ 025520179282075500973019*c_1100_0^9 + 4081245234923717517166267426771328/1524341840059760691833657673*c_1\ 100_0^8 - 79261124103093773404978129407896681/457302552017928207550\ 0973019*c_1100_0^7 + 97091657205284546905288555687411717/1524341840\ 059760691833657673*c_1100_0^6 - 69810151646500180830526419040799033\ 5/4573025520179282075500973019*c_1100_0^5 + 1113372262437623716016555058781231532/4573025520179282075500973019*\ c_1100_0^4 - 61310463265097291220448775836782568/240685553693646425\ 026367001*c_1100_0^3 + 1536083704239426518247519528919626883/914605\ 1040358564151001946038*c_1100_0^2 - 580522759042155952259662852760376535/9146051040358564151001946038*c\ _1100_0 + 10707346909224554462941444960610741/101622789337317379455\ 5771782, c_0011_0 - 1, c_0011_10 + 1133254766249510447472/6265045025296066696397*c_1100_0^12 - 10300867397372887640680/6265045025296066696397*c_1100_0^11 + 21933595452054641360052/6265045025296066696397*c_1100_0^10 - 26247800127812505194472/6265045025296066696397*c_1100_0^9 + 333737544719525646011148/6265045025296066696397*c_1100_0^8 - 2249785194233905855690778/6265045025296066696397*c_1100_0^7 + 8420612052764298028264230/6265045025296066696397*c_1100_0^6 - 20491525482453792936316482/6265045025296066696397*c_1100_0^5 + 33017468147241531794835986/6265045025296066696397*c_1100_0^4 - 1814468599247343735086247/329739211857687720863*c_1100_0^3 + 22265220342403413753687234/6265045025296066696397*c_1100_0^2 - 8031280837969166987830941/6265045025296066696397*c_1100_0 + 1223304387784676166623969/6265045025296066696397, c_0011_11 - 1689939655052508594832/6265045025296066696397*c_1100_0^12 + 12791342601728862881776/6265045025296066696397*c_1100_0^11 - 13427110933746694680256/6265045025296066696397*c_1100_0^10 + 19290373442915940936258/6265045025296066696397*c_1100_0^9 - 465004749892311824443788/6265045025296066696397*c_1100_0^8 + 2648641143441162901154084/6265045025296066696397*c_1100_0^7 - 8568280905273294234377291/6265045025296066696397*c_1100_0^6 + 17605505292508632143634078/6265045025296066696397*c_1100_0^5 - 22390696189398765109980839/6265045025296066696397*c_1100_0^4 + 863020554742574548438843/329739211857687720863*c_1100_0^3 - 5605884326281772153177254/6265045025296066696397*c_1100_0^2 - 18834946657950056209318/6265045025296066696397*c_1100_0 + 379875589011628911099054/6265045025296066696397, c_0011_12 + 2511293799946994016184/6265045025296066696397*c_1100_0^12 - 22158439773537423909308/6265045025296066696397*c_1100_0^11 + 43655717431516026222510/6265045025296066696397*c_1100_0^10 - 53720330515143521575406/6265045025296066696397*c_1100_0^9 + 732709913826561967304976/6265045025296066696397*c_1100_0^8 - 4801193581161198643008771/6265045025296066696397*c_1100_0^7 + 17645192846226375026649113/6265045025296066696397*c_1100_0^6 - 42195406915692301717064216/6265045025296066696397*c_1100_0^5 + 66727154765792728594204157/6265045025296066696397*c_1100_0^4 - 3605152804169742524817788/329739211857687720863*c_1100_0^3 + 43738992190023762066259193/6265045025296066696397*c_1100_0^2 - 15772264197031358255627360/6265045025296066696397*c_1100_0 + 2455216701168649833749791/6265045025296066696397, c_0011_4 - 1517157940782153950040/6265045025296066696397*c_1100_0^12 + 12366759519480930119500/6265045025296066696397*c_1100_0^11 - 18855266566409964171550/6265045025296066696397*c_1100_0^10 + 25511339893811386893450/6265045025296066696397*c_1100_0^9 - 430194444884599299045898/6265045025296066696397*c_1100_0^8 + 2621471259369607587493681/6265045025296066696397*c_1100_0^7 - 9113222248230339206560623/6265045025296066696397*c_1100_0^6 + 20539443385940334301353817/6265045025296066696397*c_1100_0^5 - 30225180645023081633822804/6265045025296066696397*c_1100_0^4 + 1502625780316210941763483/329739211857687720863*c_1100_0^3 - 16639550505415614655153570/6265045025296066696397*c_1100_0^2 + 5449125917371390529499051/6265045025296066696397*c_1100_0 - 766775404225614181279329/6265045025296066696397, c_0011_7 - 1517157940782153950040/6265045025296066696397*c_1100_0^12 + 12366759519480930119500/6265045025296066696397*c_1100_0^11 - 18855266566409964171550/6265045025296066696397*c_1100_0^10 + 25511339893811386893450/6265045025296066696397*c_1100_0^9 - 430194444884599299045898/6265045025296066696397*c_1100_0^8 + 2621471259369607587493681/6265045025296066696397*c_1100_0^7 - 9113222248230339206560623/6265045025296066696397*c_1100_0^6 + 20539443385940334301353817/6265045025296066696397*c_1100_0^5 - 30225180645023081633822804/6265045025296066696397*c_1100_0^4 + 1502625780316210941763483/329739211857687720863*c_1100_0^3 - 16639550505415614655153570/6265045025296066696397*c_1100_0^2 + 5442860872346094462802654/6265045025296066696397*c_1100_0 - 766775404225614181279329/6265045025296066696397, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 1133254766249510447472/6265045025296066696397*c_1100_0^12 + 10300867397372887640680/6265045025296066696397*c_1100_0^11 - 21933595452054641360052/6265045025296066696397*c_1100_0^10 + 26247800127812505194472/6265045025296066696397*c_1100_0^9 - 333737544719525646011148/6265045025296066696397*c_1100_0^8 + 2249785194233905855690778/6265045025296066696397*c_1100_0^7 - 8420612052764298028264230/6265045025296066696397*c_1100_0^6 + 20491525482453792936316482/6265045025296066696397*c_1100_0^5 - 33017468147241531794835986/6265045025296066696397*c_1100_0^4 + 1814468599247343735086247/329739211857687720863*c_1100_0^3 - 22265220342403413753687234/6265045025296066696397*c_1100_0^2 + 8031280837969166987830941/6265045025296066696397*c_1100_0 - 1229569432809972233320366/6265045025296066696397, c_0101_12 - 1373236294265937452048/6265045025296066696397*c_1100_0^12 + 10621822238355285754472/6265045025296066696397*c_1100_0^11 - 12942048095939591600076/6265045025296066696397*c_1100_0^10 + 19778024013990228001520/6265045025296066696397*c_1100_0^9 - 382409140143379661693482/6265045025296066696397*c_1100_0^8 + 2217233323984114941319530/6265045025296066696397*c_1100_0^7 - 7405676136930778374170200/6265045025296066696397*c_1100_0^6 + 15927510997404022221523545/6265045025296066696397*c_1100_0^5 - 22023568653967483647291264/6265045025296066696397*c_1100_0^4 + 1010182926816946210816543/329739211857687720863*c_1100_0^3 - 10095668865104638709395366/6265045025296066696397*c_1100_0^2 + 2893496103942476148260048/6265045025296066696397*c_1100_0 - 339536908790453830645460/6265045025296066696397, c_0101_8 - 1517157940782153950040/6265045025296066696397*c_1100_0^12 + 12366759519480930119500/6265045025296066696397*c_1100_0^11 - 18855266566409964171550/6265045025296066696397*c_1100_0^10 + 25511339893811386893450/6265045025296066696397*c_1100_0^9 - 430194444884599299045898/6265045025296066696397*c_1100_0^8 + 2621471259369607587493681/6265045025296066696397*c_1100_0^7 - 9113222248230339206560623/6265045025296066696397*c_1100_0^6 + 20539443385940334301353817/6265045025296066696397*c_1100_0^5 - 30225180645023081633822804/6265045025296066696397*c_1100_0^4 + 1502625780316210941763483/329739211857687720863*c_1100_0^3 - 16639550505415614655153570/6265045025296066696397*c_1100_0^2 + 5449125917371390529499051/6265045025296066696397*c_1100_0 - 773040449250910247975726/6265045025296066696397, c_1001_2 + 1133254766249510447472/6265045025296066696397*c_1100_0^12 - 10300867397372887640680/6265045025296066696397*c_1100_0^11 + 21933595452054641360052/6265045025296066696397*c_1100_0^10 - 26247800127812505194472/6265045025296066696397*c_1100_0^9 + 333737544719525646011148/6265045025296066696397*c_1100_0^8 - 2249785194233905855690778/6265045025296066696397*c_1100_0^7 + 8420612052764298028264230/6265045025296066696397*c_1100_0^6 - 20491525482453792936316482/6265045025296066696397*c_1100_0^5 + 33017468147241531794835986/6265045025296066696397*c_1100_0^4 - 1814468599247343735086247/329739211857687720863*c_1100_0^3 + 22265220342403413753687234/6265045025296066696397*c_1100_0^2 - 8025015792943870921134544/6265045025296066696397*c_1100_0 + 1223304387784676166623969/6265045025296066696397, c_1100_0^13 - 19/2*c_1100_0^12 + 95/4*c_1100_0^11 - 36*c_1100_0^10 + 617/2*c_1100_0^9 - 16915/8*c_1100_0^8 + 8427*c_1100_0^7 - 44277/2*c_1100_0^6 + 159127/4*c_1100_0^5 - 391643/8*c_1100_0^4 + 40523*c_1100_0^3 - 43173/2*c_1100_0^2 + 6697*c_1100_0 - 7373/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB