Magma V2.19-8 Wed Aug 21 2013 00:52:34 on localhost [Seed = 745159062] Type ? for help. Type -D to quit. Loading file "L12a895__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a895 geometric_solution 11.55099629 oriented_manifold CS_known 0.0000000000000004 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 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 0.325579065338 1.806473266211 0 5 4 6 0132 0132 0213 0132 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 -1 0 1 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.026961359849 0.866786644544 5 0 8 7 0132 0132 0132 0132 0 0 1 1 0 0 0 0 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 1 -1 0 -4 0 4 0 -1 0 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.114880239253 0.811737333731 9 5 10 0 0132 1230 0132 0132 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 0 0 0 0 0 4 -3 -1 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 0.122378349180 0.507612096084 6 1 0 9 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 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677069154306 0.672362595843 2 1 3 8 0132 0132 3012 0321 0 0 1 1 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 0 0 0 4 0 -4 0 0 -5 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005080100459 0.766255444647 4 7 1 7 0132 0132 0132 1230 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 0.249327552183 0.804475136633 6 6 2 9 3012 0132 0132 2031 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 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 0.620037200960 0.664476914545 10 5 11 2 0213 0321 0132 0132 0 0 1 0 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 -1 1 4 0 0 -4 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976026692467 0.835791180078 3 7 4 10 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 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 0.303466342818 0.862415864164 8 11 9 3 0213 2103 0132 0132 0 1 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 -3 0 3 -1 0 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.034290611216 1.195487538572 12 10 12 8 0132 2103 2310 0132 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 -4 3 1 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 1.043644601536 0.628450782604 11 11 12 12 0132 3201 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -3 3 0 0 -3 3 0 -3 0 3 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568200528979 0.213925858339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0110_7'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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' : negation(d['1']), 's_0_6' : 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' : negation(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' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_7'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : d['c_0011_10'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_0011_10'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], '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' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_4'], 's_2_9' : negation(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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_11, c_0101_5, c_0110_7, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 153060328150297981154570091657/4986467084043971975297024000*c_1100_\ 0^20 - 463275666528093323101252673481/4986467084043971975297024000*\ c_1100_0^19 - 2008066583086831408221047562867/199458683361758879011\ 88096000*c_1100_0^18 + 96036764836535229769898090019/22665759472927\ 1453422592000*c_1100_0^17 + 3694707344868822538825113003563/9972934\ 168087943950594048000*c_1100_0^16 - 10457593022194167503364705212049/9972934168087943950594048000*c_110\ 0_0^15 - 33292720912521515271234628177717/1994586833617588790118809\ 6000*c_1100_0^14 + 1020787312244392080040632425533/3989173667235177\ 58023761920*c_1100_0^13 + 38269704373784186906029182755991/99729341\ 68087943950594048000*c_1100_0^12 - 1136287476590869607033806374269/226657594729271453422592000*c_1100_\ 0^11 - 378049206034449668750432165921/90663037891708581369036800*c_\ 1100_0^10 + 13842196661289653368354254032283/2493233542021985987648\ 512000*c_1100_0^9 + 20760138426930554702044999092411/99729341680879\ 43950594048000*c_1100_0^8 - 27309209318835183765996089063499/997293\ 4168087943950594048000*c_1100_0^7 - 3133794078703155257878010253417/4986467084043971975297024000*c_1100\ _0^6 + 1458045203549653519333971941353/9972934168087943950594048000\ *c_1100_0^5 + 340062417459397228346256870839/7978347334470355160475\ 23840*c_1100_0^4 + 1094539563392335030091615889713/4986467084043971\ 975297024000*c_1100_0^3 + 108425680914608818282735815237/1994586833\ 6175887901188096000*c_1100_0^2 - 48850437121352211885306570801/2493\ 233542021985987648512000*c_1100_0 - 193795789780145655229068996553/19945868336175887901188096000, c_0011_0 - 1, c_0011_10 - 875537811148724188/45052983381397141*c_1100_0^20 + 1862715966009922832/45052983381397141*c_1100_0^19 + 4892898263194333273/45052983381397141*c_1100_0^18 - 8522480142773831203/45052983381397141*c_1100_0^17 - 19941651619874515310/45052983381397141*c_1100_0^16 + 15883328755303711085/45052983381397141*c_1100_0^15 + 68740793418510380035/45052983381397141*c_1100_0^14 - 19635542915704031631/45052983381397141*c_1100_0^13 - 152202482571531516990/45052983381397141*c_1100_0^12 + 21588431035419448957/45052983381397141*c_1100_0^11 + 195361270879350196189/45052983381397141*c_1100_0^10 - 8547802393130865367/45052983381397141*c_1100_0^9 - 139806863621559202376/45052983381397141*c_1100_0^8 - 21697753096230074232/45052983381397141*c_1100_0^7 + 50145500699800758675/45052983381397141*c_1100_0^6 + 32761450692609728101/45052983381397141*c_1100_0^5 - 3133169380064616199/45052983381397141*c_1100_0^4 - 15073153117839504240/45052983381397141*c_1100_0^3 - 9524505612867209855/45052983381397141*c_1100_0^2 - 3424426749623371965/45052983381397141*c_1100_0 - 496621673478118909/45052983381397141, c_0011_11 + 295607304813115496/45052983381397141*c_1100_0^20 - 631668018654238588/45052983381397141*c_1100_0^19 - 1618391700816299190/45052983381397141*c_1100_0^18 + 2813093054132081707/45052983381397141*c_1100_0^17 + 6603180287086254577/45052983381397141*c_1100_0^16 - 5066112533989171936/45052983381397141*c_1100_0^15 - 22749781652084971333/45052983381397141*c_1100_0^14 + 5985149445736168496/45052983381397141*c_1100_0^13 + 49614863714915411001/45052983381397141*c_1100_0^12 - 5808690803243262018/45052983381397141*c_1100_0^11 - 61986393118581347772/45052983381397141*c_1100_0^10 - 70417568181558746/45052983381397141*c_1100_0^9 + 42524738204229668858/45052983381397141*c_1100_0^8 + 10522444818926564084/45052983381397141*c_1100_0^7 - 13928119470649854000/45052983381397141*c_1100_0^6 - 12389734212374055060/45052983381397141*c_1100_0^5 - 188669930042231145/45052983381397141*c_1100_0^4 + 4867729006190337560/45052983381397141*c_1100_0^3 + 3668625435565028233/45052983381397141*c_1100_0^2 + 1444306988819404405/45052983381397141*c_1100_0 + 243145732765476437/45052983381397141, c_0011_3 - 40453409028007596/45052983381397141*c_1100_0^20 + 81350301859114912/45052983381397141*c_1100_0^19 + 226529137017321117/45052983381397141*c_1100_0^18 - 343591376021959579/45052983381397141*c_1100_0^17 - 927610266605554992/45052983381397141*c_1100_0^16 + 529293601947873977/45052983381397141*c_1100_0^15 + 3102978223808292410/45052983381397141*c_1100_0^14 - 342770798501107823/45052983381397141*c_1100_0^13 - 6547709065276050758/45052983381397141*c_1100_0^12 - 204466412640209108/45052983381397141*c_1100_0^11 + 7910979661772559646/45052983381397141*c_1100_0^10 + 1287519182800057166/45052983381397141*c_1100_0^9 - 5144742336168557204/45052983381397141*c_1100_0^8 - 2251630930531791908/45052983381397141*c_1100_0^7 + 1356005461435815504/45052983381397141*c_1100_0^6 + 1806679377446298453/45052983381397141*c_1100_0^5 + 359717607790326246/45052983381397141*c_1100_0^4 - 543778658021867585/45052983381397141*c_1100_0^3 - 551042318669125193/45052983381397141*c_1100_0^2 - 274167050657475681/45052983381397141*c_1100_0 - 118954809584676015/45052983381397141, c_0011_4 - 27539616003611392/765900717483751397*c_1100_0^20 + 67522355405183728/765900717483751397*c_1100_0^19 + 124074664641135176/765900717483751397*c_1100_0^18 - 254863504499845964/765900717483751397*c_1100_0^17 - 544585497437357414/765900717483751397*c_1100_0^16 + 401679588136409932/765900717483751397*c_1100_0^15 + 1947176314972495941/765900717483751397*c_1100_0^14 - 424173688349908258/765900717483751397*c_1100_0^13 - 3817545400063304325/765900717483751397*c_1100_0^12 - 77446610149873220/765900717483751397*c_1100_0^11 + 3858139014808511037/765900717483751397*c_1100_0^10 + 1644936860109980058/765900717483751397*c_1100_0^9 - 1788072900429754689/765900717483751397*c_1100_0^8 - 2801962368478018588/765900717483751397*c_1100_0^7 - 168885951602363881/765900717483751397*c_1100_0^6 + 2441372819522926212/765900717483751397*c_1100_0^5 + 1052359964188594386/765900717483751397*c_1100_0^4 - 1775586205458829820/765900717483751397*c_1100_0^3 - 1130196287946250156/765900717483751397*c_1100_0^2 + 1011502811667561668/765900717483751397*c_1100_0 + 10458848833146384/765900717483751397, c_0011_8 + 295607304813115496/45052983381397141*c_1100_0^20 - 631668018654238588/45052983381397141*c_1100_0^19 - 1618391700816299190/45052983381397141*c_1100_0^18 + 2813093054132081707/45052983381397141*c_1100_0^17 + 6603180287086254577/45052983381397141*c_1100_0^16 - 5066112533989171936/45052983381397141*c_1100_0^15 - 22749781652084971333/45052983381397141*c_1100_0^14 + 5985149445736168496/45052983381397141*c_1100_0^13 + 49614863714915411001/45052983381397141*c_1100_0^12 - 5808690803243262018/45052983381397141*c_1100_0^11 - 61986393118581347772/45052983381397141*c_1100_0^10 - 70417568181558746/45052983381397141*c_1100_0^9 + 42524738204229668858/45052983381397141*c_1100_0^8 + 10522444818926564084/45052983381397141*c_1100_0^7 - 13928119470649854000/45052983381397141*c_1100_0^6 - 12389734212374055060/45052983381397141*c_1100_0^5 - 188669930042231145/45052983381397141*c_1100_0^4 + 4867729006190337560/45052983381397141*c_1100_0^3 + 3668625435565028233/45052983381397141*c_1100_0^2 + 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414370185366664962/765900717483751397*c_1100_0^3 - 2371740588948173708/765900717483751397*c_1100_0^2 - 1412585206441202524/765900717483751397*c_1100_0 + 172390152351785583/765900717483751397, c_0101_11 - 1204343077435107888/45052983381397141*c_1100_0^20 + 2569702989438697712/45052983381397141*c_1100_0^19 + 6688968288857114360/45052983381397141*c_1100_0^18 - 11696638414597482748/45052983381397141*c_1100_0^17 - 27252990842368404351/45052983381397141*c_1100_0^16 + 21715862038883384722/45052983381397141*c_1100_0^15 + 94003261876920003942/45052983381397141*c_1100_0^14 - 26919287590516228390/45052983381397141*c_1100_0^13 - 207546469702943658096/45052983381397141*c_1100_0^12 + 29558582314320459230/45052983381397141*c_1100_0^11 + 264865979398317420677/45052983381397141*c_1100_0^10 - 10912687326534885430/45052983381397141*c_1100_0^9 - 187838593021021896578/45052983381397141*c_1100_0^8 - 30983529316887585320/45052983381397141*c_1100_0^7 + 66123138324271974973/45052983381397141*c_1100_0^6 + 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