Magma V2.19-8 Wed Aug 21 2013 01:06:38 on localhost [Seed = 593837024] Type ? for help. Type -D to quit. Loading file "L14n32772__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32772 geometric_solution 11.02529557 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 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 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 0.196820181576 0.736755054678 0 4 0 4 0132 0132 2310 2310 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 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 -0.726463188634 1.375825456163 5 6 7 0 0132 0132 0132 0132 0 1 1 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 1 0 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628013922578 0.910277656241 6 6 0 8 2310 0321 0132 0132 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 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 0.589885317323 0.733088292397 1 1 9 10 3201 0132 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 -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 0.353348889460 0.410618858321 2 11 9 11 0132 0132 3201 0213 1 1 0 1 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 1 -1 -1 0 -3 4 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 10 2 3 3 1302 0132 3201 0321 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 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589885317323 0.733088292397 12 11 8 2 0132 1230 0132 0132 0 1 0 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 0 0 0 0 0 0 0 0 0 0 1 2 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 9 12 3 7 2310 3120 0132 0132 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 0 0 0 0 0 -1 1 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.533913973750 1.052876595766 5 10 8 4 2310 3012 3201 0132 0 1 1 1 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 0 0 0 -4 0 4 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598035218346 0.165195959022 9 6 4 12 1230 2031 0132 0213 0 1 1 0 0 1 0 -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 3 -1 -2 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 1.451498917125 2.034568710468 12 5 7 5 2310 0132 3012 0213 1 0 1 0 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 -1 1 0 0 0 0 0 4 0 -4 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509485786012 0.938041415020 7 8 11 10 0132 3120 3201 0213 0 1 1 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 0 -2 2 0 0 0 0 1 -4 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.552885545773 0.823206234274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_3'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_0_11' : 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_0101_11'], '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_1100_9' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_9']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_0011_8']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_1100_0'], '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_11']), '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_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : 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_0101_0']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 21804299060365050343805/8380778457551192784*c_1100_0^13 - 1422472369409748102029/8380778457551192784*c_1100_0^12 - 228976643838428759527285/4190389228775596392*c_1100_0^11 + 362583246069937953248203/8380778457551192784*c_1100_0^10 - 209555167821114642259855/1047597307193899098*c_1100_0^9 + 271917310009026660078179/4190389228775596392*c_1100_0^8 + 11289447277109626145551021/8380778457551192784*c_1100_0^7 + 169218249500120478742115/598627032682228056*c_1100_0^6 - 18066092009373761096833/8953823138409394*c_1100_0^5 - 1294752933691695120855019/598627032682228056*c_1100_0^4 - 145298963621188851085639/92096466566496624*c_1100_0^3 - 1199161374755476489449319/1047597307193899098*c_1100_0^2 - 2073150530892476624517637/4190389228775596392*c_1100_0 - 339442801722151829337593/4190389228775596392, c_0011_0 - 1, c_0011_10 + 19280150039972897/8314264342808723*c_1100_0^13 - 11248859683202653/8314264342808723*c_1100_0^12 + 411398018228374149/8314264342808723*c_1100_0^11 - 587036867985852346/8314264342808723*c_1100_0^10 + 1845323962901077118/8314264342808723*c_1100_0^9 - 1653494012043629233/8314264342808723*c_1100_0^8 - 8988558466688955395/8314264342808723*c_1100_0^7 + 3802462073378689319/8314264342808723*c_1100_0^6 + 990878058561413338/639558795600671*c_1100_0^5 + 7528517734522769306/8314264342808723*c_1100_0^4 + 480002661010611956/639558795600671*c_1100_0^3 + 4083172504473076059/8314264342808723*c_1100_0^2 + 725287094921056608/8314264342808723*c_1100_0 - 70714774586696215/8314264342808723, c_0011_11 + c_1100_0, c_0011_12 - 3005032373837214/8314264342808723*c_1100_0^13 + 3197297408553628/8314264342808723*c_1100_0^12 - 65556414599892896/8314264342808723*c_1100_0^11 + 122818710385736813/8314264342808723*c_1100_0^10 - 344309117990398460/8314264342808723*c_1100_0^9 + 417345178709373882/8314264342808723*c_1100_0^8 + 1215998792756131409/8314264342808723*c_1100_0^7 - 1202618059202882463/8314264342808723*c_1100_0^6 - 111696441750026333/639558795600671*c_1100_0^5 - 422749346272539019/8314264342808723*c_1100_0^4 - 57531816294730725/639558795600671*c_1100_0^3 - 271065494392453320/8314264342808723*c_1100_0^2 + 28537536178081889/8314264342808723*c_1100_0 - 3147681270912661/8314264342808723, c_0011_3 + 46262599139508813/8314264342808723*c_1100_0^13 - 26546499082699919/8314264342808723*c_1100_0^12 + 986729508817868939/8314264342808723*c_1100_0^11 - 1398911931692546176/8314264342808723*c_1100_0^10 + 4410809014324900315/8314264342808723*c_1100_0^9 - 3918092470287984556/8314264342808723*c_1100_0^8 - 21625487037622895003/8314264342808723*c_1100_0^7 + 8942520377805529798/8314264342808723*c_1100_0^6 + 2388627946522021006/639558795600671*c_1100_0^5 + 18305104596664169085/8314264342808723*c_1100_0^4 + 1159410781844845249/639558795600671*c_1100_0^3 + 9899119199979505062/8314264342808723*c_1100_0^2 + 1813863706093124411/8314264342808723*c_1100_0 - 164598390674756243/8314264342808723, c_0011_8 + 19521302596472395/8314264342808723*c_1100_0^13 - 11148581333883242/8314264342808723*c_1100_0^12 + 416164143255017853/8314264342808723*c_1100_0^11 - 588897772894863033/8314264342808723*c_1100_0^10 + 1855702173521309622/8314264342808723*c_1100_0^9 - 1639352323346108245/8314264342808723*c_1100_0^8 - 9153978569353733890/8314264342808723*c_1100_0^7 + 3784588098798081825/8314264342808723*c_1100_0^6 + 1012626601965310072/639558795600671*c_1100_0^5 + 7671231126384667599/8314264342808723*c_1100_0^4 + 487678240682792568/639558795600671*c_1100_0^3 + 4180077059762208649/8314264342808723*c_1100_0^2 + 744104658755579669/8314264342808723*c_1100_0 - 63434580555792215/8314264342808723, c_0011_9 - 22613806516503194/24942793028426169*c_1100_0^13 + 13566661763723428/24942793028426169*c_1100_0^12 - 482321844887651300/24942793028426169*c_1100_0^11 + 695717060171028940/24942793028426169*c_1100_0^10 - 2165921294365316900/24942793028426169*c_1100_0^9 + 1950250787986167061/24942793028426169*c_1100_0^8 + 10576656385158231664/24942793028426169*c_1100_0^7 - 4740393829424613302/24942793028426169*c_1100_0^6 - 388129149892875423/639558795600671*c_1100_0^5 - 8325790412380649447/24942793028426169*c_1100_0^4 - 548738403394085344/1918676386802013*c_1100_0^3 - 4659749596518168389/24942793028426169*c_1100_0^2 - 690563980137720932/24942793028426169*c_1100_0 + 78671815065992987/24942793028426169, c_0101_0 - 1, c_0101_1 + 19280150039972897/8314264342808723*c_1100_0^13 - 11248859683202653/8314264342808723*c_1100_0^12 + 411398018228374149/8314264342808723*c_1100_0^11 - 587036867985852346/8314264342808723*c_1100_0^10 + 1845323962901077118/8314264342808723*c_1100_0^9 - 1653494012043629233/8314264342808723*c_1100_0^8 - 8988558466688955395/8314264342808723*c_1100_0^7 + 3802462073378689319/8314264342808723*c_1100_0^6 + 990878058561413338/639558795600671*c_1100_0^5 + 7528517734522769306/8314264342808723*c_1100_0^4 + 480002661010611956/639558795600671*c_1100_0^3 + 4083172504473076059/8314264342808723*c_1100_0^2 + 725287094921056608/8314264342808723*c_1100_0 - 70714774586696215/8314264342808723, c_0101_10 - 7461146503063521/8314264342808723*c_1100_0^13 + 4149058065614024/8314264342808723*c_1100_0^12 - 159167347334476937/8314264342808723*c_1100_0^11 + 222977290811830797/8314264342808723*c_1100_0^10 - 709782877902513575/8314264342808723*c_1100_0^9 + 625246134898247078/8314264342808723*c_1100_0^8 + 3482950001580205718/8314264342808723*c_1100_0^7 - 1355470205628758654/8314264342808723*c_1100_0^6 - 385123285995297596/639558795600671*c_1100_0^5 - 3105355735756732180/8314264342808723*c_1100_0^4 - 191729880151440725/639558795600671*c_1100_0^3 - 1635869635744220354/8314264342808723*c_1100_0^2 - 344471952416488134/8314264342808723*c_1100_0 + 22134771189459090/8314264342808723, c_0101_11 - 66278809111539000/8314264342808723*c_1100_0^13 + 37797120141670449/8314264342808723*c_1100_0^12 - 1413352106279322999/8314264342808723*c_1100_0^11 + 1998962546866709907/8314264342808723*c_1100_0^10 - 6308436958222675056/8314264342808723*c_1100_0^9 + 5583647054534372982/8314264342808723*c_1100_0^8 + 31022437984382828871/8314264342808723*c_1100_0^7 - 12728975452664399521/8314264342808723*c_1100_0^6 - 3430098713372396354/639558795600671*c_1100_0^5 - 26321035287441773803/8314264342808723*c_1100_0^4 - 1662221766800371526/639558795600671*c_1100_0^3 - 14237705752666402730/8314264342808723*c_1100_0^2 - 2607749528547863844/8314264342808723*c_1100_0 + 234892994567534363/8314264342808723, c_0101_12 + 16023226330101779/8314264342808723*c_1100_0^13 - 10290025849446861/8314264342808723*c_1100_0^12 + 343003209711639704/8314264342808723*c_1100_0^11 - 508675370777932666/8314264342808723*c_1100_0^10 + 1574572872975087191/8314264342808723*c_1100_0^9 - 1489932810378562026/8314264342808723*c_1100_0^8 - 7317717700685022688/8314264342808723*c_1100_0^7 + 3499030454607037230/8314264342808723*c_1100_0^6 + 795255617722088552/639558795600671*c_1100_0^5 + 5858692797026541715/8314264342808723*c_1100_0^4 + 386502193174573643/639558795600671*c_1100_0^3 + 3160907381506640826/8314264342808723*c_1100_0^2 + 530380677612228246/8314264342808723*c_1100_0 - 52882398583174963/8314264342808723, c_1100_0^14 + 21*c_1100_0^12 - 18*c_1100_0^11 + 78*c_1100_0^10 - 30*c_1100_0^9 - 516*c_1100_0^8 - 75*c_1100_0^7 + 782*c_1100_0^6 + 781*c_1100_0^5 + 553*c_1100_0^4 + 401*c_1100_0^3 + 162*c_1100_0^2 + 19*c_1100_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.560 seconds, Total memory usage: 32.09MB