Magma V2.19-8 Tue Aug 20 2013 17:55:52 on localhost [Seed = 2193831268] Type ? for help. Type -D to quit. Loading file "10^2_125__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_125 geometric_solution 10.36486961 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2103 0 0 1 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 -2 -1 0 3 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883651970256 1.121539794445 0 4 5 0 0132 0132 0132 2103 1 0 0 1 0 0 -1 1 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 3 -3 1 0 -1 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883651970256 1.121539794445 6 0 4 7 0132 0132 3120 0132 0 1 0 1 0 0 0 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 -1 0 1 3 0 -3 0 0 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392398304589 0.429241450781 6 8 6 0 2031 0132 3012 0132 0 0 0 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 1 -1 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349696813128 0.797038411921 8 1 2 9 3120 0132 3120 0132 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502821705917 0.460957596368 10 9 7 1 0132 1023 2031 0132 1 0 1 1 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 3 0 -3 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954947912459 0.857353964074 2 3 3 10 0132 1230 1302 0321 0 1 1 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 -1 0 1 -3 0 1 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538389442083 1.052115238674 8 10 2 5 0213 1230 0132 1302 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544721325356 0.564780264601 7 3 10 4 0213 0132 1230 3120 0 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 0 0 0 0 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142094821841 0.734998523223 5 9 4 9 1023 2310 0132 3201 1 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698999415300 0.877467854389 5 6 7 8 0132 0321 3012 3012 0 0 1 1 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 0 1 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040907066615 0.693371381006 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], '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_10' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_1001_0']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_9']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_4']), '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'], '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0101_4']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_9'], '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_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_9']), 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_9, c_0110_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 20817246068565542647/83810870151171912*c_1001_2^12 - 13417428759734737075/1995496908361236*c_1001_2^11 - 6135956156056136101121/83810870151171912*c_1001_2^10 - 5007539593806793809527/11972981450167416*c_1001_2^9 - 3270721395857840373881/2328079726421442*c_1001_2^8 - 254224050264520150401487/83810870151171912*c_1001_2^7 - 2213316160138794110147/498874227090309*c_1001_2^6 - 379019386971578696283751/83810870151171912*c_1001_2^5 - 45329633035629849376213/13968478358528652*c_1001_2^4 - 5724100744751302525636/3492119589632163*c_1001_2^3 - 5932334417857012167109/10476358768896489*c_1001_2^2 - 5136091721744198420735/41905435075585956*c_1001_2 - 22588780483777360639/1710425921452488, c_0011_0 - 1, c_0011_10 + 906781674/8760940363*c_1001_2^12 + 3487921705/1251562909*c_1001_2^11 + 263399456024/8760940363*c_1001_2^10 + 211390348178/1251562909*c_1001_2^9 + 4819581748029/8760940363*c_1001_2^8 + 9854584026272/8760940363*c_1001_2^7 + 1874262481079/1251562909*c_1001_2^6 + 11328997594778/8760940363*c_1001_2^5 + 5920412674469/8760940363*c_1001_2^4 + 1390465836747/8760940363*c_1001_2^3 - 273170469711/8760940363*c_1001_2^2 - 287790921490/8760940363*c_1001_2 - 9308378229/1251562909, c_0011_3 - 166655520/8760940363*c_1001_2^12 - 850456849/1251562909*c_1001_2^11 - 88096905142/8760940363*c_1001_2^10 - 100547288965/1251562909*c_1001_2^9 - 3346946098787/8760940363*c_1001_2^8 - 10022161445580/8760940363*c_1001_2^7 - 2838362782984/1251562909*c_1001_2^6 - 26879179823981/8760940363*c_1001_2^5 - 25083357507870/8760940363*c_1001_2^4 - 15993705377051/8760940363*c_1001_2^3 - 6771253275804/8760940363*c_1001_2^2 - 1764556566515/8760940363*c_1001_2 - 30721661718/1251562909, c_0011_7 - 2820344500/8760940363*c_1001_2^12 - 11120205154/1251562909*c_1001_2^11 - 871499137738/8760940363*c_1001_2^10 - 740378298717/1251562909*c_1001_2^9 - 18393394825616/8760940363*c_1001_2^8 - 42449144805080/8760940363*c_1001_2^7 - 9578457686044/1251562909*c_1001_2^6 - 74446973468367/8760940363*c_1001_2^5 - 58535409037370/8760940363*c_1001_2^4 - 32314701702585/8760940363*c_1001_2^3 - 12102533062922/8760940363*c_1001_2^2 - 2810192447263/8760940363*c_1001_2 - 44849978273/1251562909, c_0101_0 - 1, c_0101_1 + 974031013/8760940363*c_1001_2^12 + 3823294861/1251562909*c_1001_2^11 + 297284510473/8760940363*c_1001_2^10 + 248967750487/1251562909*c_1001_2^9 + 6027461871567/8760940363*c_1001_2^8 + 13319000915482/8760940363*c_1001_2^7 + 2806372567284/1251562909*c_1001_2^6 + 19625923587877/8760940363*c_1001_2^5 + 13111787923951/8760940363*c_1001_2^4 + 5615856905859/8760940363*c_1001_2^3 + 1396731235064/8760940363*c_1001_2^2 + 134678931694/8760940363*c_1001_2 - 1712434052/1251562909, c_0101_4 - 3572947265/8760940363*c_1001_2^12 - 14001264254/1251562909*c_1001_2^11 - 1086955975254/8760940363*c_1001_2^10 - 909710578470/1251562909*c_1001_2^9 - 22079723495292/8760940363*c_1001_2^8 - 49260244961642/8760940363*c_1001_2^7 - 10599660013388/1251562909*c_1001_2^6 - 77132740667392/8760940363*c_1001_2^5 - 55350950430875/8760940363*c_1001_2^4 - 26940146903613/8760940363*c_1001_2^3 - 8480583360038/8760940363*c_1001_2^2 - 1510091854378/8760940363*c_1001_2 - 14086754492/1251562909, c_0101_9 - 349436471/1251562909*c_1001_2^12 - 9433878881/1251562909*c_1001_2^11 - 102193263024/1251562909*c_1001_2^10 - 577857142024/1251562909*c_1001_2^9 - 1901629687659/1251562909*c_1001_2^8 - 3948933388465/1251562909*c_1001_2^7 - 5383657444818/1251562909*c_1001_2^6 - 4834931110125/1251562909*c_1001_2^5 - 2732653520026/1251562909*c_1001_2^4 - 827777270419/1251562909*c_1001_2^3 - 20797003110/1251562909*c_1001_2^2 + 75696924134/1251562909*c_1001_2 + 20232254592/1251562909, c_0110_9 - 464226676/8760940363*c_1001_2^12 - 1765378620/1251562909*c_1001_2^11 - 130957978402/8760940363*c_1001_2^10 - 102050780972/1251562909*c_1001_2^9 - 2213257268379/8760940363*c_1001_2^8 - 4156641676995/8760940363*c_1001_2^7 - 673269321234/1251562909*c_1001_2^6 - 2758984993714/8760940363*c_1001_2^5 + 105244806545/8760940363*c_1001_2^4 + 1442975082930/8760940363*c_1001_2^3 + 1078018917069/8760940363*c_1001_2^2 + 381856171404/8760940363*c_1001_2 + 8530651143/1251562909, c_1001_0 + 1846313487/8760940363*c_1001_2^12 + 7296910293/1251562909*c_1001_2^11 + 574214627265/8760940363*c_1001_2^10 + 491410548230/1251562909*c_1001_2^9 + 12365932954049/8760940363*c_1001_2^8 + 29130143889598/8760940363*c_1001_2^7 + 6772085118760/1251562909*c_1001_2^6 + 54821049880490/8760940363*c_1001_2^5 + 45423621113419/8760940363*c_1001_2^4 + 26698844796726/8760940363*c_1001_2^3 + 10705801827858/8760940363*c_1001_2^2 + 2675513515569/8760940363*c_1001_2 + 46562412325/1251562909, c_1001_2^13 + 28*c_1001_2^12 + 320*c_1001_2^11 + 1960*c_1001_2^10 + 7244*c_1001_2^9 + 17590*c_1001_2^8 + 29575*c_1001_2^7 + 35479*c_1001_2^6 + 30778*c_1001_2^5 + 19335*c_1001_2^4 + 8681*c_1001_2^3 + 2679*c_1001_2^2 + 518*c_1001_2 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB