Magma V2.19-8 Wed Aug 21 2013 00:55:26 on localhost [Seed = 4020893073] Type ? for help. Type -D to quit. Loading file "L13a6857__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a6857 geometric_solution 11.42000125 oriented_manifold CS_known -0.0000000000000001 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 2 2 2 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 1 -1 0 0 0 0 0 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391365860235 0.559780543082 0 5 6 5 0132 0132 0132 0213 1 2 0 2 0 1 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 0 0 0 0 4 -1 -3 0 0 0 0 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 7 0 9 8 0132 0132 0132 0132 2 0 0 2 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 -1 1 0 0 0 0 0 -2 2 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594261314358 0.936807674250 10 6 4 0 0132 2031 2310 0132 2 2 0 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 0 1 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 0.391365860235 0.559780543082 4 3 0 4 3201 3201 0132 2310 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.838902100186 1.199903008792 10 1 8 1 2310 0132 2103 0213 1 0 2 0 0 -1 0 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 -4 1 3 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 3 8 8 1 1302 2103 2031 0132 1 2 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 -1 0 1 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 0.083960000443 0.830811807852 2 11 12 12 0132 0132 0132 2031 0 0 2 0 0 -1 0 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 -5 0 0 5 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547979276363 1.285694063026 5 6 2 6 2103 2103 0132 1302 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 12 11 10 2 0132 1230 2310 0132 2 0 2 0 0 0 0 0 0 0 0 0 -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 1 0 -1 -1 0 1 0 -6 0 0 6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.480778348446 1.754636420546 3 9 5 11 0132 3201 3201 2310 0 2 2 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 3 -3 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 0.594261314358 0.936807674250 10 7 9 12 3201 0132 3012 1302 0 2 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 2 -3 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 1.020057715915 0.808706260193 9 7 11 7 0132 1302 2031 0132 0 0 0 2 0 0 0 0 0 0 0 0 0 -1 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 1 0 -1 0 0 -2 0 2 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.835467906631 0.868919706354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : negation(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' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_1001_7']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_10'], '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' : d['1'], 'c_1100_12' : negation(d['c_1001_7']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1397799557921350733746005415/24624670870429174054611008*c_1001_7^11 - 56704662500895898951842216027/12312335435214587027305504*c_1001_7\ ^10 + 743467667421857122628333565829/24624670870429174054611008*c_1\ 001_7^9 + 2726989547102399734524043796299/1231233543521458702730550\ 4*c_1001_7^8 + 4388529271576603880232854831747/12312335435214587027\ 305504*c_1001_7^7 + 1020585809885552963430531225971/246246708704291\ 74054611008*c_1001_7^6 - 5071156471954813734606643619909/2462467087\ 0429174054611008*c_1001_7^5 - 73692420971506463610192784017/2462467\ 0870429174054611008*c_1001_7^4 + 2001078771151165122090982580703/24\ 624670870429174054611008*c_1001_7^3 - 397757390291647643800734304631/24624670870429174054611008*c_1001_7^\ 2 + 2159939515716426624659140481/24624670870429174054611008*c_1001_\ 7 + 9979783363598985287650343855/24624670870429174054611008, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 10310591013395925402045/16728716623932862808839*c_1001_7^11 + 836372314297797477659927/16728716623932862808839*c_1001_7^10 - 5470365516722676703004633/16728716623932862808839*c_1001_7^9 - 40316807797577559422353565/16728716623932862808839*c_1001_7^8 - 65424626150936823322784198/16728716623932862808839*c_1001_7^7 - 8739940846402465199031466/16728716623932862808839*c_1001_7^6 + 37075666811336452194856065/16728716623932862808839*c_1001_7^5 + 1191405873213222764581039/16728716623932862808839*c_1001_7^4 - 14565609342294222152539059/16728716623932862808839*c_1001_7^3 + 2751922440833846364749251/16728716623932862808839*c_1001_7^2 - 5989169277381949641403/16728716623932862808839*c_1001_7 - 88695195495161736057810/16728716623932862808839, c_0011_4 + 3350396533668222334322/16728716623932862808839*c_1001_7^11 - 272041672336351095274002/16728716623932862808839*c_1001_7^10 + 1799111322576742455882624/16728716623932862808839*c_1001_7^9 + 12956880724543511407876529/16728716623932862808839*c_1001_7^8 + 20244942290730221969972567/16728716623932862808839*c_1001_7^7 + 1327646828667245567317525/16728716623932862808839*c_1001_7^6 - 11947587109367044603599276/16728716623932862808839*c_1001_7^5 + 751063657670626054440034/16728716623932862808839*c_1001_7^4 + 4731008879678618474018444/16728716623932862808839*c_1001_7^3 - 1296324023284808944239304/16728716623932862808839*c_1001_7^2 + 80786539493067130876681/16728716623932862808839*c_1001_7 + 7633416369620121397247/16728716623932862808839, c_0011_6 + 137932718583576170534/16728716623932862808839*c_1001_7^11 - 11467701470971020131836/16728716623932862808839*c_1001_7^10 + 95798662478711064639137/16728716623932862808839*c_1001_7^9 + 391921902781130805685866/16728716623932862808839*c_1001_7^8 - 218862764996468957862164/16728716623932862808839*c_1001_7^7 - 1680390581706335516149017/16728716623932862808839*c_1001_7^6 - 774274356588716022700581/16728716623932862808839*c_1001_7^5 + 1010854267445079359931816/16728716623932862808839*c_1001_7^4 + 303997800921703324414374/16728716623932862808839*c_1001_7^3 - 436375296574354225116288/16728716623932862808839*c_1001_7^2 + 36805635588888047232204/16728716623932862808839*c_1001_7 + 20559709320044096523584/16728716623932862808839, c_0011_8 - 137932718583576170534/16728716623932862808839*c_1001_7^11 + 11467701470971020131836/16728716623932862808839*c_1001_7^10 - 95798662478711064639137/16728716623932862808839*c_1001_7^9 - 391921902781130805685866/16728716623932862808839*c_1001_7^8 + 218862764996468957862164/16728716623932862808839*c_1001_7^7 + 1680390581706335516149017/16728716623932862808839*c_1001_7^6 + 774274356588716022700581/16728716623932862808839*c_1001_7^5 - 1010854267445079359931816/16728716623932862808839*c_1001_7^4 - 303997800921703324414374/16728716623932862808839*c_1001_7^3 + 436375296574354225116288/16728716623932862808839*c_1001_7^2 - 36805635588888047232204/16728716623932862808839*c_1001_7 - 3830992696111233714745/16728716623932862808839, c_0101_0 - 137932718583576170534/16728716623932862808839*c_1001_7^11 + 11467701470971020131836/16728716623932862808839*c_1001_7^10 - 95798662478711064639137/16728716623932862808839*c_1001_7^9 - 391921902781130805685866/16728716623932862808839*c_1001_7^8 + 218862764996468957862164/16728716623932862808839*c_1001_7^7 + 1680390581706335516149017/16728716623932862808839*c_1001_7^6 + 774274356588716022700581/16728716623932862808839*c_1001_7^5 - 1010854267445079359931816/16728716623932862808839*c_1001_7^4 - 303997800921703324414374/16728716623932862808839*c_1001_7^3 + 436375296574354225116288/16728716623932862808839*c_1001_7^2 - 36805635588888047232204/16728716623932862808839*c_1001_7 - 20559709320044096523584/16728716623932862808839, c_0101_1 - 1, c_0101_11 - 15274654184751380042993/16728716623932862808839*c_1001_7^11 + 1239650484770468567189746/16728716623932862808839*c_1001_7^10 - 8153237518355238586487831/16728716623932862808839*c_1001_7^9 - 59396744689502149710868361/16728716623932862808839*c_1001_7^8 - 94620185334081571432174374/16728716623932862808839*c_1001_7^7 - 9642368262538406454947212/16728716623932862808839*c_1001_7^6 + 54327242301427893477932172/16728716623932862808839*c_1001_7^5 - 1115987078826737344996981/16728716623932862808839*c_1001_7^4 - 21536606896967556603989883/16728716623932862808839*c_1001_7^3 + 5026875089487833540054564/16728716623932862808839*c_1001_7^2 - 231909685424185543854355/16728716623932862808839*c_1001_7 - 106172942280878629402916/16728716623932862808839, c_0101_12 - 14755141412117928250145/16728716623932862808839*c_1001_7^11 + 1196957886548886996338674/16728716623932862808839*c_1001_7^10 - 7832779449530277775979794/16728716623932862808839*c_1001_7^9 - 57669013561891085536657787/16728716623932862808839*c_1001_7^8 - 93404215648770899797599551/16728716623932862808839*c_1001_7^7 - 12140674343264758988684977/16728716623932862808839*c_1001_7^6 + 52966948133002727069090827/16728716623932862808839*c_1001_7^5 + 1148778344333823723147552/16728716623932862808839*c_1001_7^4 - 21054528736833290020889090/16728716623932862808839*c_1001_7^3 + 4016480798698376574347717/16728716623932862808839*c_1001_7^2 - 15705047630460649132954/16728716623932862808839*c_1001_7 - 121502896176504121931355/16728716623932862808839, c_0101_5 - 912850292590682458276/16728716623932862808839*c_1001_7^11 + 74027993146318169978306/16728716623932862808839*c_1001_7^10 - 482710161836154566215020/16728716623932862808839*c_1001_7^9 - 3576633357198097663930066/16728716623932862808839*c_1001_7^8 - 5894914798423475941066913/16728716623932862808839*c_1001_7^7 - 1088377997549358309669693/16728716623932862808839*c_1001_7^6 + 2929348843989247008719653/16728716623932862808839*c_1001_7^5 + 66638136916039094442764/16728716623932862808839*c_1001_7^4 - 1158095125930730538402164/16728716623932862808839*c_1001_7^3 + 240299783489296172129851/16728716623932862808839*c_1001_7^2 - 40584132940401271736014/16728716623932862808839*c_1001_7 - 7310683431752624692268/16728716623932862808839, c_1001_1 - 1, c_1001_7^12 - 81*c_1001_7^11 + 521*c_1001_7^10 + 3973*c_1001_7^9 + 6804*c_1001_7^8 + 1583*c_1001_7^7 - 3510*c_1001_7^6 - 530*c_1001_7^5 + 1418*c_1001_7^4 - 96*c_1001_7^3 - 34*c_1001_7^2 + 8*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB