Magma V2.19-8 Wed Aug 21 2013 01:08:03 on localhost [Seed = 3203966860] Type ? for help. Type -D to quit. Loading file "L14n38180__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38180 geometric_solution 11.66903935 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 1 0 -1 -2 0 2 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 0.255162268624 1.038856685064 0 3 6 5 0132 1023 0132 0132 1 1 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 0 0 0 0 0 1 0 -1 2 0 -2 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 -0.025454529169 1.071065835267 3 0 8 7 1023 0132 0132 0132 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 0 0 0 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 -0.075039690010 0.719893960523 1 2 9 0 1023 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 0 3 -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 -0.136205019137 1.197788971172 7 8 0 9 3201 3201 0132 0132 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 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 -0.070506571143 0.874565426319 10 10 1 6 0132 1302 0132 2031 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 1 -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 0.463439972262 0.541609727470 11 5 9 1 0132 1302 2103 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 0 0 0 1 0 -3 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 0.504889181873 0.444457071964 12 12 2 4 0132 1302 0132 2310 1 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 1 -1 0 0 0 0 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.334368674294 1.075263453448 11 11 4 2 1230 0321 2310 0132 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 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 0.652919402127 1.236600362558 6 10 4 3 2103 0213 0132 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 0 0 0 3 0 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 -0.041680710721 0.882818445498 5 12 9 5 0132 3120 0213 2031 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 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 0.923133465213 0.931821303610 6 8 12 8 0132 3012 0321 0321 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 0 0 0 0 0 0 0 0 0 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 0.344613429708 1.163661904877 7 10 11 7 0132 3120 0321 2031 1 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 0 0 0 0 0 1 -1 -4 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454372075352 0.366142953072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_9'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_8']), 'c_1100_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], '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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_8, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 26049969595240270349328885028291/277450375461943543619505325762*c_1\ 100_0^15 - 147158860381815528831370603036426/1387251877309717718097\ 52662881*c_1100_0^14 + 2153473597038539166944474778939357/277450375\ 461943543619505325762*c_1100_0^13 - 235832112218658103795324161004349/277450375461943543619505325762*c_\ 1100_0^12 + 100166108308506838267444391117721/396357679231347919456\ 43617966*c_1100_0^11 + 3258636533573355366707252182394741/277450375\ 461943543619505325762*c_1100_0^10 + 132797552918327816182806770888543/21342336573995657201500409674*c_1\ 100_0^9 - 1626148827720297697431948382269602/1387251877309717718097\ 52662881*c_1100_0^8 + 46224054300979078041613241030295/277450375461\ 943543619505325762*c_1100_0^7 - 2603531862745232420401693530692041/\ 277450375461943543619505325762*c_1100_0^6 + 5173429218245128768691761099869783/277450375461943543619505325762*c\ _1100_0^5 - 2127340087496694867181905139556737/27745037546194354361\ 9505325762*c_1100_0^4 + 427727698781070039814064356960373/138725187\ 730971771809752662881*c_1100_0^3 - 1059194795128515112753388298265993/277450375461943543619505325762*c\ _1100_0^2 + 397051105932533899032506151731/283112628022391371040311\ 5569*c_1100_0 - 104035469883329492539863953958721/13872518773097177\ 1809752662881, c_0011_0 - 1, c_0011_10 - 10031757936529694912/85542391336990163477*c_1100_0^15 - 109740643265924813518/85542391336990163477*c_1100_0^14 + 1754463966910367060963/171084782673980326954*c_1100_0^13 - 27296439020368923570/7776581030635469407*c_1100_0^12 - 449441543849415122185/171084782673980326954*c_1100_0^11 + 1523803375828185827677/171084782673980326954*c_1100_0^10 - 357778415724670390493/171084782673980326954*c_1100_0^9 - 5626079063023977024547/171084782673980326954*c_1100_0^8 - 2232794015257782820495/171084782673980326954*c_1100_0^7 - 1204746290911808856005/85542391336990163477*c_1100_0^6 + 4379001530158334342761/171084782673980326954*c_1100_0^5 - 2461225528867649547691/171084782673980326954*c_1100_0^4 - 629997784950317771349/171084782673980326954*c_1100_0^3 - 1470939292925150971475/171084782673980326954*c_1100_0^2 + 82375769111256113946/85542391336990163477*c_1100_0 - 253529966459670300727/171084782673980326954, c_0011_11 + 165255934761212751633/637679644512108491374*c_1100_0^15 + 2115546984632836908031/637679644512108491374*c_1100_0^14 - 10625530401462032544703/637679644512108491374*c_1100_0^13 - 8136817871844457173086/318839822256054245687*c_1100_0^12 - 9425712194854115252005/318839822256054245687*c_1100_0^11 - 19472645758440076571340/318839822256054245687*c_1100_0^10 - 28505577603441280275042/318839822256054245687*c_1100_0^9 - 36428015230622956858705/637679644512108491374*c_1100_0^8 - 16712613858036004106683/637679644512108491374*c_1100_0^7 + 4072187089061079027798/318839822256054245687*c_1100_0^6 - 6544751903823559620342/318839822256054245687*c_1100_0^5 - 8175483186693451866840/318839822256054245687*c_1100_0^4 - 12579029424340856987051/637679644512108491374*c_1100_0^3 - 5624465613394570798237/637679644512108491374*c_1100_0^2 - 1128472164124406736613/637679644512108491374*c_1100_0 - 290445127842430791399/318839822256054245687, c_0011_4 + 264094173293090811297/637679644512108491374*c_1100_0^15 + 2925181626888516794951/637679644512108491374*c_1100_0^14 - 11241015027861910150792/318839822256054245687*c_1100_0^13 + 3685581637598738130607/318839822256054245687*c_1100_0^12 - 8643046739456372639385/637679644512108491374*c_1100_0^11 - 31464636169107082453581/637679644512108491374*c_1100_0^10 - 9695818846786804051831/637679644512108491374*c_1100_0^9 + 17789234367143037911630/318839822256054245687*c_1100_0^8 - 3709085736377172818392/318839822256054245687*c_1100_0^7 + 15107660948304427776367/318839822256054245687*c_1100_0^6 - 56716200190805769225045/637679644512108491374*c_1100_0^5 + 35569858155307931606609/637679644512108491374*c_1100_0^4 - 7191864234147482833893/318839822256054245687*c_1100_0^3 + 5698138556764196339732/318839822256054245687*c_1100_0^2 - 2621423117630934734283/637679644512108491374*c_1100_0 + 1237033505707413655051/637679644512108491374, c_0011_8 - 168433696711859685717/637679644512108491374*c_1100_0^15 - 960911181016127255380/318839822256054245687*c_1100_0^14 + 13669520892566694521311/637679644512108491374*c_1100_0^13 - 466146676584243638549/637679644512108491374*c_1100_0^12 + 7496462945721921851769/637679644512108491374*c_1100_0^11 + 23178990938752235428703/637679644512108491374*c_1100_0^10 + 15624481813324742753557/637679644512108491374*c_1100_0^9 - 6557172768430939080069/318839822256054245687*c_1100_0^8 + 4858182059616988747219/637679644512108491374*c_1100_0^7 - 17729242420615235440537/637679644512108491374*c_1100_0^6 + 31249326013999788286409/637679644512108491374*c_1100_0^5 - 14382506527834356295787/637679644512108491374*c_1100_0^4 + 4731571154992720541211/318839822256054245687*c_1100_0^3 - 6124225944928968182601/637679644512108491374*c_1100_0^2 + 672192684953945444365/318839822256054245687*c_1100_0 - 460829819536338728596/318839822256054245687, c_0011_9 - 257195979151585389534/318839822256054245687*c_1100_0^15 - 3197457017066609162758/318839822256054245687*c_1100_0^14 + 17725818960020880045687/318839822256054245687*c_1100_0^13 + 18851725705597636836670/318839822256054245687*c_1100_0^12 + 21787285136989215729829/318839822256054245687*c_1100_0^11 + 52507216359554009937284/318839822256054245687*c_1100_0^10 + 70139612788878411722250/318839822256054245687*c_1100_0^9 + 30330385775863146337041/318839822256054245687*c_1100_0^8 + 14830512290561322913437/318839822256054245687*c_1100_0^7 - 15051898817652120950677/318839822256054245687*c_1100_0^6 + 27792142169259846271187/318839822256054245687*c_1100_0^5 + 14840037725586981169720/318839822256054245687*c_1100_0^4 + 12851996927345422264868/318839822256054245687*c_1100_0^3 + 3678003614881392598697/318839822256054245687*c_1100_0^2 + 1684776813597179070166/318839822256054245687*c_1100_0 + 255648207889643544913/318839822256054245687, c_0101_0 + 79009843252480134057/171084782673980326954*c_1100_0^15 + 459423976273505645183/85542391336990163477*c_1100_0^14 - 3103892102362949775908/85542391336990163477*c_1100_0^13 - 100449705740793402065/15553162061270938814*c_1100_0^12 - 1931420698410488571681/85542391336990163477*c_1100_0^11 - 6217009929089643303074/85542391336990163477*c_1100_0^10 - 5221845419600320685397/85542391336990163477*c_1100_0^9 + 3135785094820224268187/171084782673980326954*c_1100_0^8 - 1627759269862224923294/85542391336990163477*c_1100_0^7 + 6437535511764325662125/171084782673980326954*c_1100_0^6 - 6416210584441913902007/85542391336990163477*c_1100_0^5 + 2110653821696993366889/85542391336990163477*c_1100_0^4 - 3248126954044613798163/171084782673980326954*c_1100_0^3 + 427738997834331100410/85542391336990163477*c_1100_0^2 - 300315846474763926973/85542391336990163477*c_1100_0 + 212763238893406719291/171084782673980326954, c_0101_1 - 1, c_0101_3 - 365216254767416306209/637679644512108491374*c_1100_0^15 - 4479545922700535820279/637679644512108491374*c_1100_0^14 + 12942286546780997243764/318839822256054245687*c_1100_0^13 + 11024764028342935883356/318839822256054245687*c_1100_0^12 + 29309841099670930172173/637679644512108491374*c_1100_0^11 + 72920825516314520771965/637679644512108491374*c_1100_0^10 + 90935529180758804093581/637679644512108491374*c_1100_0^9 + 17651993571348034718596/318839822256054245687*c_1100_0^8 + 13039035502574327699344/318839822256054245687*c_1100_0^7 - 9508807054386948056440/318839822256054245687*c_1100_0^6 + 45137914415237322403233/637679644512108491374*c_1100_0^5 + 11771937883652854051587/637679644512108491374*c_1100_0^4 + 9362797090993827472069/318839822256054245687*c_1100_0^3 + 2625416264604862090395/318839822256054245687*c_1100_0^2 + 3597588190762718698925/637679644512108491374*c_1100_0 + 797452401687653166493/637679644512108491374, c_0101_7 - 63060942897404559747/85542391336990163477*c_1100_0^15 - 766421333527521571191/85542391336990163477*c_1100_0^14 + 9113569937617469046863/171084782673980326954*c_1100_0^13 + 301940933616806141626/7776581030635469407*c_1100_0^12 + 9215145503775675553011/171084782673980326954*c_1100_0^11 + 23524290056028807971347/171084782673980326954*c_1100_0^10 + 28102615380064964683145/171084782673980326954*c_1100_0^9 + 8037203916326394934203/171084782673980326954*c_1100_0^8 + 6198554245601856956171/171084782673980326954*c_1100_0^7 - 4465678453136699863348/85542391336990163477*c_1100_0^6 + 16087655775465397731705/171084782673980326954*c_1100_0^5 + 2501351097983065175269/171084782673980326954*c_1100_0^4 + 6190682131349672288863/171084782673980326954*c_1100_0^3 + 374177261688956210135/171084782673980326954*c_1100_0^2 + 236827357955437321111/85542391336990163477*c_1100_0 + 27595218623128396799/171084782673980326954, c_0101_8 - 3980267410059309573/7776581030635469407*c_1100_0^15 - 47559062447307124272/7776581030635469407*c_1100_0^14 + 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Total time: 0.940 seconds, Total memory usage: 32.09MB