Magma V2.19-8 Wed Aug 21 2013 01:06:00 on localhost [Seed = 964632989] Type ? for help. Type -D to quit. Loading file "L14n3025__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3025 geometric_solution 12.23951818 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 1 0 0 1 0 -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 -1 0 1 0 0 -1 1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602689309223 1.090146746391 0 0 5 4 0132 1302 0132 0132 0 0 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 0 0 0 0 -1 0 1 0 0 0 0 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611582749619 0.702570620161 6 0 6 7 0132 0132 3012 0132 0 0 0 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 0 0 0 0 0 0 0 1 0 -1 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 0.301549154678 0.723132238604 8 9 7 0 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.187983362721 0.487607987654 8 10 1 8 2103 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602689309223 1.090146746391 10 10 9 1 0132 1230 3201 0132 0 0 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 1 -1 0 -1 0 1 0 -10 9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684349614539 1.006452291647 2 2 9 8 0132 1230 0321 2103 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 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 0.691019744863 0.715438542839 10 3 2 11 3120 3201 0132 0132 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 -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 0.473308156523 0.979453449745 3 4 4 6 0132 2310 2103 2103 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 1 0 -1 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 0.602689309223 1.090146746391 5 3 6 11 2310 0132 0321 2310 0 0 0 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 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 0.473308156523 0.979453449745 5 4 5 7 0132 0132 3012 3120 0 0 0 1 0 0 0 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 1 0 -1 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538001368688 0.679447421820 9 12 7 12 3201 0132 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 1.270014425202 0.899714334373 11 11 12 12 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509792400478 0.251137486481 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0110_12']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_0011_7']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], '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_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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0101_2']), '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_0101_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' : 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' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), '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_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_3'], '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' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_2']), 's_2_9' : d['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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_6, c_0110_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 977345615292592653415383279/1599196798280188338176*c_0101_3*c_0110_\ 12^6 - 3339642731775807024696567493/1599196798280188338176*c_0101_3\ *c_0110_12^5 + 2388510109301836299328122105/799598399140094169088*c\ _0101_3*c_0110_12^4 - 543895162262473954368624139/19989959978502354\ 2272*c_0101_3*c_0110_12^3 + 1366985651518470065718574093/7995983991\ 40094169088*c_0101_3*c_0110_12^2 - 880771986755246176343064485/1599196798280188338176*c_0101_3*c_0110_\ 12 + 57085901895800066916359159/1599196798280188338176*c_0101_3, c_0011_0 - 1, c_0011_10 + 11781056201386711/336263547352064*c_0101_3*c_0110_12^6 - 30021988507488829/336263547352064*c_0101_3*c_0110_12^5 + 15172407638634065/168131773676032*c_0101_3*c_0110_12^4 - 2770030959505299/42032943419008*c_0101_3*c_0110_12^3 + 4358839701647301/168131773676032*c_0101_3*c_0110_12^2 + 1369867211327331/336263547352064*c_0101_3*c_0110_12 - 511435651395809/336263547352064*c_0101_3 + 1441727712119183/10508235854752*c_0110_12^6 - 4811236967882605/10508235854752*c_0110_12^5 + 3385601174603489/5254117927376*c_0110_12^4 - 769002511299427/1313529481844*c_0110_12^3 + 1916379478179229/5254117927376*c_0110_12^2 - 1229379217274357/10508235854752*c_0110_12 + 93444390587935/10508235854752, c_0011_11 - 17162532754015/328382370461*c_0110_12^6 + 120137427616059/656764740922*c_0110_12^5 - 87576753135480/328382370461*c_0110_12^4 + 80191627567103/328382370461*c_0110_12^3 - 51376789318787/328382370461*c_0110_12^2 + 17074969574462/328382370461*c_0110_12 - 2562860829331/656764740922, c_0011_3 - 783163692093785/10508235854752*c_0101_3*c_0110_12^6 + 2786513462947823/10508235854752*c_0101_3*c_0110_12^5 - 2065859748602435/5254117927376*c_0101_3*c_0110_12^4 + 478931924149081/1313529481844*c_0101_3*c_0110_12^3 - 1237778202793195/5254117927376*c_0101_3*c_0110_12^2 + 843303886080059/10508235854752*c_0101_3*c_0110_12 - 69849983025917/10508235854752*c_0101_3 + 107911186499665/2627058963688*c_0110_12^6 - 377536136312461/2627058963688*c_0110_12^5 + 276308779584181/1313529481844*c_0110_12^4 - 63837596218467/328382370461*c_0110_12^3 + 163603215606627/1313529481844*c_0110_12^2 - 109883397038519/2627058963688*c_0110_12 + 10078534169875/2627058963688, c_0011_7 + 783163692093785/10508235854752*c_0101_3*c_0110_12^6 - 2786513462947823/10508235854752*c_0101_3*c_0110_12^5 + 2065859748602435/5254117927376*c_0101_3*c_0110_12^4 - 478931924149081/1313529481844*c_0101_3*c_0110_12^3 + 1237778202793195/5254117927376*c_0101_3*c_0110_12^2 - 843303886080059/10508235854752*c_0101_3*c_0110_12 + 69849983025917/10508235854752*c_0101_3 + 107911186499665/2627058963688*c_0110_12^6 - 377536136312461/2627058963688*c_0110_12^5 + 276308779584181/1313529481844*c_0110_12^4 - 63837596218467/328382370461*c_0110_12^3 + 163603215606627/1313529481844*c_0110_12^2 - 109883397038519/2627058963688*c_0110_12 + 10078534169875/2627058963688, c_0101_0 - 1, c_0101_1 - 44896139382463037/336263547352064*c_0101_3*c_0110_12^6 + 154744879879240991/336263547352064*c_0101_3*c_0110_12^5 - 111206839921644795/168131773676032*c_0101_3*c_0110_12^4 + 25480596042399953/42032943419008*c_0101_3*c_0110_12^3 - 64628422854221431/168131773676032*c_0101_3*c_0110_12^2 + 42151805384872127/336263547352064*c_0101_3*c_0110_12 - 3482192157920981/336263547352064*c_0101_3 + 783163692093785/10508235854752*c_0110_12^6 - 2786513462947823/10508235854752*c_0110_12^5 + 2065859748602435/5254117927376*c_0110_12^4 - 478931924149081/1313529481844*c_0110_12^3 + 1237778202793195/5254117927376*c_0110_12^2 - 843303886080059/10508235854752*c_0110_12 + 69849983025917/10508235854752, c_0101_11 + 31923877269157/5254117927376*c_0110_12^6 - 60716476295869/5254117927376*c_0110_12^5 + 13101509797413/2627058963688*c_0110_12^4 - 1238925170181/656764740922*c_0110_12^3 - 7966738603201/2627058963688*c_0110_12^2 + 18486611464773/5254117927376*c_0110_12 - 653900221029/5254117927376, c_0101_12 - 246879945036891/5254117927376*c_0110_12^6 + 858529830886083/5254117927376*c_0110_12^5 - 627463677435475/2627058963688*c_0110_12^4 + 145295499611591/656764740922*c_0110_12^3 - 370337690996329/2627058963688*c_0110_12^2 + 249028528179477/5254117927376*c_0110_12 - 18590579856981/5254117927376, c_0101_2 + 10251816814436855/42032943419008*c_0101_3*c_0110_12^6 - 33468680109870621/42032943419008*c_0101_3*c_0110_12^5 + 23071467534698737/21016471709504*c_0101_3*c_0110_12^4 - 5186408027339987/5254117927376*c_0101_3*c_0110_12^3 + 12709277534418405/21016471709504*c_0101_3*c_0110_12^2 - 7812020841642493/42032943419008*c_0101_3*c_0110_12 + 553516376752959/42032943419008*c_0101_3, c_0101_3^2 + 105636918389061/1313529481844*c_0110_12^6 - 365916392486159/1313529481844*c_0110_12^5 + 266182082818337/656764740922*c_0110_12^4 - 122863718729125/328382370461*c_0110_12^3 + 156467700642347/656764740922*c_0110_12^2 - 104362072230203/1313529481844*c_0110_12 + 8035208985605/1313529481844, c_0101_6 + 57672806948773/1313529481844*c_0110_12^6 - 185714325147225/1313529481844*c_0110_12^5 + 127369771739545/656764740922*c_0110_12^4 - 58187685199010/328382370461*c_0110_12^3 + 71797297713139/656764740922*c_0110_12^2 - 46597259783811/1313529481844*c_0110_12 + 4402792045415/1313529481844, c_0110_12^7 - 4854/1369*c_0110_12^6 + 7295/1369*c_0110_12^5 - 6962/1369*c_0110_12^4 + 4622/1369*c_0110_12^3 - 1733/1369*c_0110_12^2 + 242/1369*c_0110_12 - 11/1369 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.440 Total time: 0.660 seconds, Total memory usage: 32.09MB