Magma V2.19-8 Wed Aug 21 2013 01:05:12 on localhost [Seed = 206181533] Type ? for help. Type -D to quit. Loading file "L14n25247__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25247 geometric_solution 11.90304603 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 0 1 -1 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 -1 0 1 0 0 -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 0.438085178106 0.792944018337 0 5 6 6 0132 0132 0213 0132 1 1 1 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 0 0 0 0 -1 1 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 0.283532189134 1.194520341328 7 0 9 8 0132 0132 0132 0132 0 0 1 1 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 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 0.076854022674 0.804756415012 10 5 11 0 0132 1302 0132 0132 0 1 1 1 0 0 1 -1 -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 -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 0.764214527683 0.350660534765 11 7 0 9 2103 0213 0132 1302 0 1 0 1 0 -1 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 1 0 -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 1.454683044116 1.331684518838 7 1 10 3 1023 0132 3012 2031 1 0 1 1 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 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 0.125570413155 0.686474070689 11 1 1 12 0213 0213 0132 0132 1 1 1 1 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 -1 0 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 0.369274289056 0.615667086668 2 5 4 8 0132 1023 0213 1023 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842332394967 1.352925880768 11 10 2 7 1023 0213 0132 1023 0 0 1 1 0 0 0 0 -1 0 0 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 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 1.028036880481 0.923398177956 12 12 4 2 1230 2310 2031 0132 0 0 1 1 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 1 0 -1 -1 0 1 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 0.314160416003 0.725261809751 3 5 8 12 0132 1230 0213 2310 0 1 1 1 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476221292646 0.679759463770 6 8 4 3 0213 1023 2103 0132 0 1 1 1 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 -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 0.858005356562 0.366383673676 10 9 6 9 3201 3012 0132 3201 1 1 0 1 0 0 0 0 1 0 -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 -1 1 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 0.497103118391 1.160973451443 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0110_5'], 'c_1010_10' : d['c_0101_5'], '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_6'], 'c_0101_10' : d['c_0011_11'], '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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_1010_4'], 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : negation(d['c_0011_9']), 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_1010_4']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_4']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_1010_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'], 'c_1100_12' : negation(d['c_0011_9']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_11'], '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_12']), 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0101_12']), 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0110_5'], 'c_0110_1' : d['c_0011_11'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_9']), 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_12']})} 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_6, c_0011_9, c_0101_12, c_0101_5, c_0101_9, c_0110_5, c_1001_0, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 256/105*c_0110_5 - 1024/315, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - c_0110_5 - 1, c_0011_12 - c_0110_5 - 1/2, c_0011_4 - 1/2*c_0110_5 - 1, c_0011_6 - c_0110_5, c_0011_9 - 1, c_0101_12 - 1, c_0101_5 - c_0110_5 - 1, c_0101_9 + 1/2, c_0110_5^2 + c_0110_5 + 3/2, c_1001_0 - 1, c_1010_4 - 1/4 ], 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_6, c_0011_9, c_0101_12, c_0101_5, c_0101_9, c_0110_5, c_1001_0, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5235970834541635019/17326814071600906240*c_1010_4^10 - 5658404494377471489/541462939737528320*c_1010_4^9 + 338347456457098826473/8663407035800453120*c_1010_4^8 + 435575928407855504403/4331703517900226560*c_1010_4^7 - 4012379773364619435987/17326814071600906240*c_1010_4^6 - 195540782139825667281/4331703517900226560*c_1010_4^5 + 864166194524215939905/1732681407160090624*c_1010_4^4 - 182671811328205484217/541462939737528320*c_1010_4^3 - 3122262206199546022897/3465362814320181248*c_1010_4^2 - 320745135726490281111/433170351790022656*c_1010_4 - 212576160184539405701/1082925879475056640, c_0011_0 - 1, c_0011_10 + 694811535656319/216585175895011328*c_1010_4^10 - 388968865892045/3384143373359552*c_1010_4^9 + 61091647954939813/108292587947505664*c_1010_4^8 + 7351718838772279/54146293973752832*c_1010_4^7 - 292798644904752615/216585175895011328*c_1010_4^6 + 29839773353138171/54146293973752832*c_1010_4^5 + 212537168069594449/108292587947505664*c_1010_4^4 - 16089458672220955/6768286746719104*c_1010_4^3 - 1256094782940724481/216585175895011328*c_1010_4^2 - 164765374598901883/27073146986876416*c_1010_4 - 33833704819620009/13536573493438208, c_0011_11 + 299472835327559/216585175895011328*c_1010_4^10 - 582104177960347/13536573493438208*c_1010_4^9 + 192466328237789/108292587947505664*c_1010_4^8 + 79447210532452247/54146293973752832*c_1010_4^7 - 364617609545386927/216585175895011328*c_1010_4^6 - 119736157633672609/54146293973752832*c_1010_4^5 + 543964834234218121/108292587947505664*c_1010_4^4 + 1267740479070181/1692071686679776*c_1010_4^3 - 2521332730061288121/216585175895011328*c_1010_4^2 - 191927130185052849/27073146986876416*c_1010_4 - 30288723263381189/13536573493438208, c_0011_12 - 41993991329473/216585175895011328*c_1010_4^10 + 46991199283277/6768286746719104*c_1010_4^9 - 3555277153178459/108292587947505664*c_1010_4^8 - 2715518093479609/54146293973752832*c_1010_4^7 + 68209289653829849/216585175895011328*c_1010_4^6 - 8780769677887805/54146293973752832*c_1010_4^5 - 67267399918490479/108292587947505664*c_1010_4^4 + 5196453925818807/6768286746719104*c_1010_4^3 + 175628325293095871/216585175895011328*c_1010_4^2 - 51505678765361951/27073146986876416*c_1010_4 - 10433336607866657/13536573493438208, c_0011_4 - 161201857866077/216585175895011328*c_1010_4^10 + 180503811144853/6768286746719104*c_1010_4^9 - 14089845616785103/108292587947505664*c_1010_4^8 - 3339582530775349/54146293973752832*c_1010_4^7 + 98929487943042069/216585175895011328*c_1010_4^6 - 1447667632876873/54146293973752832*c_1010_4^5 - 107215398423859731/108292587947505664*c_1010_4^4 + 5561682756451843/6768286746719104*c_1010_4^3 + 507118941452337955/216585175895011328*c_1010_4^2 + 2935808792687981/27073146986876416*c_1010_4 - 13212582750491933/13536573493438208, c_0011_6 - 3652143160174841/433170351790022656*c_1010_4^10 + 130489775607935/423017921669944*c_1010_4^9 - 371445240167424643/216585175895011328*c_1010_4^8 + 95744281955721695/108292587947505664*c_1010_4^7 + 1380253446446332625/433170351790022656*c_1010_4^6 - 409777102580559405/108292587947505664*c_1010_4^5 - 738251149715654839/216585175895011328*c_1010_4^4 + 129593280544990377/13536573493438208*c_1010_4^3 + 4016423719960090247/433170351790022656*c_1010_4^2 + 322856538628343685/54146293973752832*c_1010_4 + 13989568361901135/27073146986876416, c_0011_9 + 2258411030971707/108292587947505664*c_1010_4^10 - 10237626971102673/13536573493438208*c_1010_4^9 + 216246752073112169/54146293973752832*c_1010_4^8 - 19730134217451545/27073146986876416*c_1010_4^7 - 988373284436515875/108292587947505664*c_1010_4^6 + 196476482685982985/27073146986876416*c_1010_4^5 + 679570053890727573/54146293973752832*c_1010_4^4 - 152500796673620885/6768286746719104*c_1010_4^3 - 3490715679049518597/108292587947505664*c_1010_4^2 - 15246775116162669/846035843339888*c_1010_4 - 21303417378027099/6768286746719104, c_0101_12 - 1093904693582773/433170351790022656*c_1010_4^10 + 616276739445959/6768286746719104*c_1010_4^9 - 100106506806698967/216585175895011328*c_1010_4^8 - 10564466270348445/108292587947505664*c_1010_4^7 + 713732210765033005/433170351790022656*c_1010_4^6 - 131628007943179145/108292587947505664*c_1010_4^5 - 548085045467148091/216585175895011328*c_1010_4^4 + 58974057659034377/13536573493438208*c_1010_4^3 + 2017170867178205131/433170351790022656*c_1010_4^2 - 29728986404539575/54146293973752832*c_1010_4 + 1909267251124227/27073146986876416, c_0101_5 + 7673175605587/108292587947505664*c_1010_4^10 - 6194525740751/3384143373359552*c_1010_4^9 - 743957047856447/54146293973752832*c_1010_4^8 + 4300626921960763/27073146986876416*c_1010_4^7 - 22612388253759771/108292587947505664*c_1010_4^6 + 1552313634544199/27073146986876416*c_1010_4^5 + 9517517305841213/54146293973752832*c_1010_4^4 - 1018044683206277/3384143373359552*c_1010_4^3 - 40357245934474797/108292587947505664*c_1010_4^2 - 11349043035960595/13536573493438208*c_1010_4 - 5230835733215821/6768286746719104, c_0101_9 + 47214813335731/3384143373359552*c_1010_4^10 - 1711560530526267/3384143373359552*c_1010_4^9 + 4508894471410075/1692071686679776*c_1010_4^8 - 772134711701339/1692071686679776*c_1010_4^7 - 20499074220796687/3384143373359552*c_1010_4^6 + 15717238384149711/3384143373359552*c_1010_4^5 + 14388065262744485/1692071686679776*c_1010_4^4 - 25279634920079637/1692071686679776*c_1010_4^3 - 73440341363815061/3384143373359552*c_1010_4^2 - 42452717900647219/3384143373359552*c_1010_4 - 1837256684398201/846035843339888, c_0110_5 + 267030760452227/54146293973752832*c_1010_4^10 - 306186098698369/1692071686679776*c_1010_4^9 + 27708357045035601/27073146986876416*c_1010_4^8 - 9088392097869941/13536573493438208*c_1010_4^7 - 83823779206995915/54146293973752832*c_1010_4^6 + 31273717901790919/13536573493438208*c_1010_4^5 + 36043956063488013/27073146986876416*c_1010_4^4 - 8608518806963809/1692071686679776*c_1010_4^3 - 257805441457036541/54146293973752832*c_1010_4^2 - 29154918888264203/6768286746719104*c_1010_4 - 2728728568645581/3384143373359552, c_1001_0 - 1, c_1010_4^11 - 36*c_1010_4^10 + 182*c_1010_4^9 + 12*c_1010_4^8 - 425*c_1010_4^7 + 216*c_1010_4^6 + 654*c_1010_4^5 - 856*c_1010_4^4 - 1791*c_1010_4^3 - 1420*c_1010_4^2 - 464*c_1010_4 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB