Magma V2.19-8 Wed Aug 21 2013 01:03:36 on localhost [Seed = 3415069684] Type ? for help. Type -D to quit. Loading file "L14n20701__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20701 geometric_solution 12.06074585 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 1 1 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 0 1 -1 -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 0.242768004766 0.564545694902 0 4 6 5 0132 0132 0132 0132 0 1 1 1 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 0 0 0 1 0 0 -1 -1 -6 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972668271873 1.289147370623 0 0 6 3 2031 0132 3012 2031 0 0 1 1 0 1 -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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357158223905 1.494898627797 6 2 0 7 0132 1302 0132 0132 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 0 0 0 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 1.499187334431 0.875295938797 5 1 8 7 0213 0132 0132 0213 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458249198486 0.637115465058 4 9 1 10 0213 0132 0132 0132 0 1 1 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 0 0 0 0 1 -1 0 0 0 0 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.166139530931 0.573337282643 3 2 11 1 0132 1230 0132 0132 0 1 1 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 -1 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 0 0 0.611846676879 0.639914501894 9 11 3 4 2310 0132 0132 0213 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 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 0.774582527126 0.910932675349 12 9 12 4 0132 0321 0213 0132 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 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 0.160423490294 0.824377413455 10 5 7 8 0321 0132 3201 0321 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 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 0.772556643899 1.168776251319 9 11 5 12 0321 2031 0132 0132 0 1 1 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 0 0 0 0 0 1 -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 0.772556643899 1.168776251319 10 7 12 6 1302 0132 0132 0132 0 1 0 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 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 0.166139530931 0.573337282643 8 8 10 11 0132 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 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 0.772556643899 1.168776251319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0011_11'], '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], '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_1100_8' : d['c_1001_11'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1001_11'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_6']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_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' : d['c_1100_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_5']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0101_6'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_5'], '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_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_10'], '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_11, c_0011_3, c_0011_5, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_11, c_1001_4, c_1001_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 131315786289777212687843051299/15516263723225537200491350016*c_1100\ _1^15 + 412082545537413990457211887657/7758131861612768600245675008\ *c_1100_1^14 - 2043510338693585429035712236237/15516263723225537200\ 491350016*c_1100_1^13 + 814778780780686055381993121557/775813186161\ 2768600245675008*c_1100_1^12 + 204422281961621898885887517193/91272\ 1395483855129440667648*c_1100_1^11 - 12516413427504336481491493528933/15516263723225537200491350016*c_11\ 00_1^10 + 1873625387981845828659848485957/1939532965403192150061418\ 752*c_1100_1^9 + 19572213331028886881939607957667/77581318616127686\ 00245675008*c_1100_1^8 - 20518789161209281614635057595829/129302197\ 6935461433374279168*c_1100_1^7 + 44705074179920447373268702855233/1\ 293021976935461433374279168*c_1100_1^6 - 275946744305166733828755815977165/7758131861612768600245675008*c_11\ 00_1^5 + 76620190748181967972254518490277/5172087907741845733497116\ 672*c_1100_1^4 - 12669345367869259281981932214215/77581318616127686\ 00245675008*c_1100_1^3 + 21737772093262548626739126216005/155162637\ 23225537200491350016*c_1100_1^2 - 10469898116727540357513557583811/\ 1939532965403192150061418752*c_1100_1 + 200780225503543184149102203223/30305202584424877344709668, c_0011_0 - 1, c_0011_10 - 28402651238433783891539/60610405168849754689419336*c_1100_1\ ^15 + 93938360515458271421483/30305202584424877344709668*c_1100_1^1\ 4 - 530746792747126059552773/60610405168849754689419336*c_1100_1^13 + 316041172287325599231715/30305202584424877344709668*c_1100_1^12 + 24340784452247599460969/3565317951108809099377608*c_1100_1^11 - 3022947281944742486446073/60610405168849754689419336*c_1100_1^10 + 1220271485015954524612951/15152601292212438672354834*c_1100_1^9 + 2838697798242597230401163/30305202584424877344709668*c_1100_1^8 - 4603547768842943716193055/5050867097404146224118278*c_1100_1^7 + 11993955985871752043963695/5050867097404146224118278*c_1100_1^6 - 98364552873027258347502557/30305202584424877344709668*c_1100_1^5 + 47899093045669186880949629/20203468389616584896473112*c_1100_1^4 - 21801282384691469897597989/30305202584424877344709668*c_1100_1^3 - 5576330805679317829624835/60610405168849754689419336*c_1100_1^2 + 1732376749608795220569977/15152601292212438672354834*c_1100_1 - 1282613522796673145809069/7576300646106219336177417, c_0011_11 - 29070690682985730701169/80813873558466339585892448*c_1100_1\ ^15 + 77006171278335449693663/40406936779233169792946224*c_1100_1^1\ 4 - 326829599928298686481295/80813873558466339585892448*c_1100_1^13 + 64102721883282424366187/40406936779233169792946224*c_1100_1^12 + 48360062915657695143587/4753757268145078799170144*c_1100_1^11 - 2225445341234521810303855/80813873558466339585892448*c_1100_1^10 + 60161929096870753623710/2525433548702073112059139*c_1100_1^9 + 4750371674369056468174017/40406936779233169792946224*c_1100_1^8 - 11479273628217613948107937/20203468389616584896473112*c_1100_1^7 + 20875859965458273863756745/20203468389616584896473112*c_1100_1^6 - 33882426102696475950618415/40406936779233169792946224*c_1100_1^5 + 3714498650052682705306661/80813873558466339585892448*c_1100_1^4 + 15146311560096811217391719/40406936779233169792946224*c_1100_1^3 - 52010252880504765888401385/80813873558466339585892448*c_1100_1^2 + 3959967901854538733046433/5050867097404146224118278*c_1100_1 - 624940228671593854901786/2525433548702073112059139, c_0011_3 - 1, c_0011_5 - 294838450674006224066741/242441620675399018757677344*c_1100_\ 1^15 + 705053193950190700605551/121220810337699509378838672*c_1100_\ 1^14 - 2375428395387974768375003/242441620675399018757677344*c_1100\ _1^13 - 186481465205274585185741/121220810337699509378838672*c_1100\ _1^12 + 459697400291776693179071/14261271804435236397510432*c_1100_\ 1^11 - 15066279362700655395325571/242441620675399018757677344*c_110\ 0_1^10 + 733338610395923346038747/30305202584424877344709668*c_1100\ _1^9 + 51505978829818462226725109/121220810337699509378838672*c_110\ 0_1^8 - 32963476246456595013310387/20203468389616584896473112*c_110\ 0_1^7 + 46513147428020236453006087/20203468389616584896473112*c_110\ 0_1^6 - 123892426881926762660535035/121220810337699509378838672*c_1\ 100_1^5 + 9344464232700762398862563/80813873558466339585892448*c_11\ 00_1^4 - 145170778150468823940558289/121220810337699509378838672*c_\ 1100_1^3 + 277823491599776929936316899/242441620675399018757677344*\ c_1100_1^2 - 33835421342169035030641817/30305202584424877344709668*\ c_1100_1 - 1653586824299099307671032/7576300646106219336177417, c_0101_1 + 221437729927468979/144570198532482172592*c_1100_1^15 - 275461574072111343/36142549633120543148*c_1100_1^14 + 2099654536709678153/144570198532482172592*c_1100_1^13 - 26522651849178534/9035637408280135787*c_1100_1^12 - 5977178034570667389/144570198532482172592*c_1100_1^11 + 14504750552754523427/144570198532482172592*c_1100_1^10 - 5406148851558524735/72285099266241086296*c_1100_1^9 - 37388734286477667979/72285099266241086296*c_1100_1^8 + 20064994954117257076/9035637408280135787*c_1100_1^7 - 132921574790818833993/36142549633120543148*c_1100_1^6 + 182126763709684676025/72285099266241086296*c_1100_1^5 - 1453847907530157563/144570198532482172592*c_1100_1^4 - 12126016334303529958/9035637408280135787*c_1100_1^3 + 241852353781536091047/144570198532482172592*c_1100_1^2 + 26089842075144898375/72285099266241086296*c_1100_1 - 4210188677465636592/9035637408280135787, c_0101_10 - 3960416040119166309743/30305202584424877344709668*c_1100_1^\ 15 + 14926707211649226999401/15152601292212438672354834*c_1100_1^14 - 93932717812382926209185/30305202584424877344709668*c_1100_1^13 + 70622688929857519412617/15152601292212438672354834*c_1100_1^12 - 166044766409254959751/1782658975554404549688804*c_1100_1^11 - 478515434912858172415745/30305202584424877344709668*c_1100_1^10 + 255742466236029622476907/7576300646106219336177417*c_1100_1^9 + 122537205676146664986395/15152601292212438672354834*c_1100_1^8 - 711437718199866312903779/2525433548702073112059139*c_1100_1^7 + 2174660492855045922682053/2525433548702073112059139*c_1100_1^6 - 21242974785727977194746829/15152601292212438672354834*c_1100_1^5 + 12623337412839116499224265/10101734194808292448236556*c_1100_1^4 - 8477915321615157951611479/15152601292212438672354834*c_1100_1^3 - 6454681310789861842822355/30305202584424877344709668*c_1100_1^2 + 2426587495668424270484732/7576300646106219336177417*c_1100_1 + 1028977036086427411859335/7576300646106219336177417, c_0101_2 - 221437729927468979/144570198532482172592*c_1100_1^15 + 275461574072111343/36142549633120543148*c_1100_1^14 - 2099654536709678153/144570198532482172592*c_1100_1^13 + 26522651849178534/9035637408280135787*c_1100_1^12 + 5977178034570667389/144570198532482172592*c_1100_1^11 - 14504750552754523427/144570198532482172592*c_1100_1^10 + 5406148851558524735/72285099266241086296*c_1100_1^9 + 37388734286477667979/72285099266241086296*c_1100_1^8 - 20064994954117257076/9035637408280135787*c_1100_1^7 + 132921574790818833993/36142549633120543148*c_1100_1^6 - 182126763709684676025/72285099266241086296*c_1100_1^5 + 1453847907530157563/144570198532482172592*c_1100_1^4 + 12126016334303529958/9035637408280135787*c_1100_1^3 - 241852353781536091047/144570198532482172592*c_1100_1^2 - 26089842075144898375/72285099266241086296*c_1100_1 - 4825448730814499195/9035637408280135787, c_0101_6 + 593640325958544223/578280794129928690368*c_1100_1^15 - 1547718854553477821/289140397064964345184*c_1100_1^14 + 5889220221299568081/578280794129928690368*c_1100_1^13 + 12138598511856583/289140397064964345184*c_1100_1^12 - 20645267281284816333/578280794129928690368*c_1100_1^11 + 43696882364465369161/578280794129928690368*c_1100_1^10 - 2835531167580590529/72285099266241086296*c_1100_1^9 - 113389691365004553055/289140397064964345184*c_1100_1^8 + 233506072326671351467/144570198532482172592*c_1100_1^7 - 366678299025946430911/144570198532482172592*c_1100_1^6 + 290420108026113226257/289140397064964345184*c_1100_1^5 + 1002641996342024720869/578280794129928690368*c_1100_1^4 - 622045440102056032077/289140397064964345184*c_1100_1^3 + 399834091370315290711/578280794129928690368*c_1100_1^2 + 50738914632384986407/72285099266241086296*c_1100_1 - 5108474580494516925/9035637408280135787, c_1001_11 - 223664271861071768096989/161627747116932679171784896*c_1100\ _1^15 + 669190380679909953230887/80813873558466339585892448*c_1100_\ 1^14 - 3117277018397401137363315/161627747116932679171784896*c_1100\ _1^13 + 1079746442268053200949467/80813873558466339585892448*c_1100\ _1^12 + 335350782425012538213367/9507514536290157598340288*c_1100_1\ ^11 - 18769972762367623501690683/161627747116932679171784896*c_1100\ _1^10 + 2658051488236839961020575/20203468389616584896473112*c_1100\ _1^9 + 34104415811633765871875837/80813873558466339585892448*c_1100\ _1^8 - 97846157933812536742970145/40406936779233169792946224*c_1100\ _1^7 + 201498289366022345034767341/40406936779233169792946224*c_110\ 0_1^6 - 396706304073169634353850291/80813873558466339585892448*c_11\ 00_1^5 + 392619241609783589959296017/161627747116932679171784896*c_\ 1100_1^4 - 79980482652903576216430505/80813873558466339585892448*c_\ 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50738914632384986407/72285099266241086296*c_1100_1 + 5108474580494516925/9035637408280135787, c_1001_6 - 221437729927468979/144570198532482172592*c_1100_1^15 + 275461574072111343/36142549633120543148*c_1100_1^14 - 2099654536709678153/144570198532482172592*c_1100_1^13 + 26522651849178534/9035637408280135787*c_1100_1^12 + 5977178034570667389/144570198532482172592*c_1100_1^11 - 14504750552754523427/144570198532482172592*c_1100_1^10 + 5406148851558524735/72285099266241086296*c_1100_1^9 + 37388734286477667979/72285099266241086296*c_1100_1^8 - 20064994954117257076/9035637408280135787*c_1100_1^7 + 132921574790818833993/36142549633120543148*c_1100_1^6 - 182126763709684676025/72285099266241086296*c_1100_1^5 + 1453847907530157563/144570198532482172592*c_1100_1^4 + 12126016334303529958/9035637408280135787*c_1100_1^3 - 241852353781536091047/144570198532482172592*c_1100_1^2 - 26089842075144898375/72285099266241086296*c_1100_1 + 4210188677465636592/9035637408280135787, c_1100_1^16 - 6*c_1100_1^15 + 15*c_1100_1^14 - 14*c_1100_1^13 - 19*c_1100_1^12 + 87*c_1100_1^11 - 120*c_1100_1^10 - 258*c_1100_1^9 + 1748*c_1100_1^8 - 3972*c_1100_1^7 + 4766*c_1100_1^6 - 3269*c_1100_1^5 + 1306*c_1100_1^4 - 183*c_1100_1^3 + 712*c_1100_1^2 - 640*c_1100_1 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB