Magma V2.19-8 Tue Aug 20 2013 23:55:29 on localhost [Seed = 543574113] Type ? for help. Type -D to quit. Loading file "L14a24920__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a24920 geometric_solution 9.95995086 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 2 1 0 1 0 0 0 0 -1 0 0 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 -1 0 1 4 0 -1 -3 -1 -1 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502878063352 0.850652268131 0 4 4 5 0132 0132 1302 0132 2 1 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 0 0 0 0 -4 0 4 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 0.485017598650 0.871127574816 0 0 4 5 3012 0132 0132 0213 2 2 1 0 0 0 1 -1 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 -5 4 -1 0 0 1 3 -3 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512106426129 0.876293039588 6 4 7 0 0132 1230 0132 0132 2 1 1 2 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 -3 0 3 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476378819395 0.845024408909 1 1 3 2 2031 0132 3012 0132 2 2 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 -5 5 0 0 0 0 1 0 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512106426129 0.876293039588 6 8 1 2 2103 0132 0132 0213 2 1 2 1 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 0 -4 0 0 0 0 5 -4 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529849351806 0.855075485686 3 8 5 7 0132 1302 2103 0132 2 1 2 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 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 0 0 0 0 1.511420119725 0.953347037266 8 9 6 3 0213 0132 0132 0132 2 1 2 2 0 0 0 0 0 0 0 0 1 0 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 0 1 -5 0 0 5 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.023780955380 0.608541332517 7 5 9 6 0213 0132 3120 2031 2 2 1 2 0 1 -1 0 -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 -4 4 0 5 0 0 -5 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935881048220 1.640768073944 10 7 8 10 0132 0132 3120 1023 2 2 2 2 0 0 0 0 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 0 0 0 0 0 0 0 0 4 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268096908246 0.928884933592 9 11 11 9 0132 0132 1023 1023 2 2 2 2 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.603305446843 0.346109993604 11 10 10 11 3012 0132 1023 1230 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 1.643469282329 0.099963768532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_10']), 'c_0110_10' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0110_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_0101_9, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 30132519680720545905362184687775632/104267116017050544953828125*c_1\ 001_3^9 + 7199439071570611874190228574540708/1042671160170505449538\ 28125*c_1001_3^8 - 390472744790063808713760618866816/13541183898318\ 25259140625*c_1001_3^7 + 162516373037060238994499599886487199/41706\ 8464068202179815312500*c_1001_3^6 - 60742015141251894707857747302057321/333654771254561743852250000*c_1\ 001_3^5 + 277752549592618497625305730816769729/95329934644160498243\ 5000000*c_1001_3^4 - 880811898976359996084420710733112683/667309542\ 5091234877045000000*c_1001_3^3 + 9966392970689891991763956304647043\ 69/10676952680145975803272000000*c_1001_3^2 - 1515076953122553019479854241179548839/38825282473258093830080000000\ *c_1001_3 + 17382139320845801424259973417411553577/1708312428823356\ 128523520000000, c_0011_0 - 1, c_0011_10 + 866654509751861248/2476102198549623331*c_1001_3^9 + 3069094418913476608/2476102198549623331*c_1001_3^8 - 1763128357045219328/2476102198549623331*c_1001_3^7 + 3647110923668973568/2476102198549623331*c_1001_3^6 - 6679801384324480768/2476102198549623331*c_1001_3^5 + 5077659528773874560/2476102198549623331*c_1001_3^4 - 1183760240254033952/2476102198549623331*c_1001_3^3 + 2093002348494274416/2476102198549623331*c_1001_3^2 + 276635463141813085/2476102198549623331*c_1001_3 + 338015001287012080/2476102198549623331, c_0011_3 - 13241699996962783232/2476102198549623331*c_1001_3^9 + 5201318141669670912/2476102198549623331*c_1001_3^8 - 14294116381906264064/2476102198549623331*c_1001_3^7 + 20312195507905617920/2476102198549623331*c_1001_3^6 - 11934721325618257408/2476102198549623331*c_1001_3^5 + 15920535938934868992/2476102198549623331*c_1001_3^4 - 9263783248268573248/2476102198549623331*c_1001_3^3 + 6749087160173264128/2476102198549623331*c_1001_3^2 - 4807877003978288674/2476102198549623331*c_1001_3 + 2269569510449610041/2476102198549623331, c_0011_5 - 26483399993925566464/2476102198549623331*c_1001_3^9 + 10402636283339341824/2476102198549623331*c_1001_3^8 - 28588232763812528128/2476102198549623331*c_1001_3^7 + 40624391015811235840/2476102198549623331*c_1001_3^6 - 23869442651236514816/2476102198549623331*c_1001_3^5 + 31841071877869737984/2476102198549623331*c_1001_3^4 - 18527566496537146496/2476102198549623331*c_1001_3^3 + 13498174320346528256/2476102198549623331*c_1001_3^2 - 4663549610857330686/2476102198549623331*c_1001_3 + 2063036822349596751/2476102198549623331, c_0101_0 - 1, c_0101_10 - 46822906402292367360/2476102198549623331*c_1001_3^9 + 2815521313837285376/2476102198549623331*c_1001_3^8 - 31227402707623804928/2476102198549623331*c_1001_3^7 + 41294839922203680768/2476102198549623331*c_1001_3^6 - 6030773447745204224/2476102198549623331*c_1001_3^5 + 22344104409256271680/2476102198549623331*c_1001_3^4 - 4952054327786007504/2476102198549623331*c_1001_3^3 + 3700187084183303592/2476102198549623331*c_1001_3^2 - 1555506379674678877/2476102198549623331*c_1001_3 + 215148474412442760/2476102198549623331, c_0101_11 - 8570279074258747392/2476102198549623331*c_1001_3^9 - 6205971512565301248/2476102198549623331*c_1001_3^8 - 9408846380377636864/2476102198549623331*c_1001_3^7 + 22093323386352249856/2476102198549623331*c_1001_3^6 - 2921911421662061312/2476102198549623331*c_1001_3^5 + 17695957062743044608/2476102198549623331*c_1001_3^4 - 8905099016720330000/2476102198549623331*c_1001_3^3 + 5122516024030009348/2476102198549623331*c_1001_3^2 - 3221040799977325763/2476102198549623331*c_1001_3 + 254922424067006260/2476102198549623331, c_0101_2 - 13241699996962783232/2476102198549623331*c_1001_3^9 + 5201318141669670912/2476102198549623331*c_1001_3^8 - 14294116381906264064/2476102198549623331*c_1001_3^7 + 20312195507905617920/2476102198549623331*c_1001_3^6 - 11934721325618257408/2476102198549623331*c_1001_3^5 + 15920535938934868992/2476102198549623331*c_1001_3^4 - 9263783248268573248/2476102198549623331*c_1001_3^3 + 6749087160173264128/2476102198549623331*c_1001_3^2 - 4807877003978288674/2476102198549623331*c_1001_3 - 206532688100013290/2476102198549623331, c_0101_4 - 1, c_0101_9 - 11356254854493765632/2476102198549623331*c_1001_3^9 + 1983305203791495168/2476102198549623331*c_1001_3^8 - 10094156167537852416/2476102198549623331*c_1001_3^7 + 13424136020204527616/2476102198549623331*c_1001_3^6 - 3990516833853904896/2476102198549623331*c_1001_3^5 + 7283730099105317376/2476102198549623331*c_1001_3^4 + 744462335781512448/2476102198549623331*c_1001_3^3 - 388202586173965620/2476102198549623331*c_1001_3^2 + 2184891476491324125/2476102198549623331*c_1001_3 - 372654914783514180/2476102198549623331, c_0110_2 + 13241699996962783232/2476102198549623331*c_1001_3^9 - 5201318141669670912/2476102198549623331*c_1001_3^8 + 14294116381906264064/2476102198549623331*c_1001_3^7 - 20312195507905617920/2476102198549623331*c_1001_3^6 + 11934721325618257408/2476102198549623331*c_1001_3^5 - 15920535938934868992/2476102198549623331*c_1001_3^4 + 9263783248268573248/2476102198549623331*c_1001_3^3 - 6749087160173264128/2476102198549623331*c_1001_3^2 + 4807877003978288674/2476102198549623331*c_1001_3 - 2269569510449610041/2476102198549623331, c_1001_3^10 - 1/4*c_1001_3^9 + c_1001_3^8 - 87/64*c_1001_3^7 + 165/256*c_1001_3^6 - 1039/1024*c_1001_3^5 + 479/1024*c_1001_3^4 - 2685/8192*c_1001_3^3 + 9077/65536*c_1001_3^2 - 9601/262144*c_1001_3 + 25/65536 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB