Magma V2.19-8 Tue Aug 20 2013 20:24:11 on localhost [Seed = 3583217441] Type ? for help. Type -D to quit. Loading file "11_401__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_401 geometric_solution 13.39148036 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.394345928105 1.227101368131 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.211613407952 1.117349413325 5 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.045109673277 0.593144722136 10 6 5 0 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170764038989 0.919241402015 9 11 0 12 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688607918420 1.581065388777 2 1 12 3 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.227485455122 1.124107438152 8 3 1 13 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178466372283 0.928616338913 14 14 13 1 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.203911995746 0.702699253227 6 10 2 11 0132 0132 0132 2310 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 -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 -0.043633007616 0.970617611040 13 14 4 2 1230 3201 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353526744823 0.766878791245 3 8 11 12 0132 0132 0321 0321 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.375709818561 1.101844009711 8 4 10 14 3201 0132 0321 3201 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 1 0 -2 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 0.762771084670 0.910949437243 13 10 4 5 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319349428567 0.272110006928 12 9 6 7 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.357483856366 1.219616527870 7 11 9 7 0132 2310 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706038228672 0.623213179178 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_14']), 'c_1001_13' : negation(d['c_0011_9']), 'c_1001_12' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_1001_14']), 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_1001_14']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0101_12'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_1001_14']), 'c_1010_10' : d['c_1001_0'], 'c_1010_14' : negation(d['c_0011_14']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0101_0'], 'c_0101_14' : d['c_0101_1'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 'c_1100_14' : d['c_0011_9'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0011_14']), 'c_1100_10' : d['c_1001_11'], 'c_1100_13' : d['c_1100_1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_1001_14']), 'c_1010_9' : negation(d['c_1001_14']), 'c_1010_8' : negation(d['c_0011_14']), '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_0'], '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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_14']), 'c_0011_6' : d['c_0011_10'], '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' : d['c_0011_14'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_13' : d['c_0101_12'], 'c_0110_12' : d['c_0101_13'], 'c_0110_14' : d['c_0101_12'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_13'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_13'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_0'], '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_13'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_13'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_1001_0, c_1001_11, c_1001_14, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 373702231862722232632432074559473280081/334498168273860767665335398\ 37026504*c_1100_1^15 - 1402068646337348580529305304644425434317/334\ 49816827386076766533539837026504*c_1100_1^14 + 10867361370331840928349693668929202817365/3344981682738607676653353\ 9837026504*c_1100_1^13 + 13742619952598848390055242241052181572599/\ 4181227103423259595816692479628313*c_1100_1^12 + 1390640229464183240061125372067158835085971/33449816827386076766533\ 539837026504*c_1100_1^11 + 1075214145220604470090608798930223501670\ 105/16724908413693038383266769918513252*c_1100_1^10 + 3211806724526970875468361544459491449883007/33449816827386076766533\ 539837026504*c_1100_1^9 + 14339303687024246209463713785087999686143\ 77/8362454206846519191633384959256626*c_1100_1^8 + 529580701683842394607142400079013617815551/304089243885327970604850\ 3621547864*c_1100_1^7 + 2354052155948974886078780634659712035430713\ /33449816827386076766533539837026504*c_1100_1^6 + 15747550582231722489426788930483972599029/4181227103423259595816692\ 479628313*c_1100_1^5 - 183357156255240627074020424733290601859209/3\ 3449816827386076766533539837026504*c_1100_1^4 - 25396535325098767309533366272625427038139/3344981682738607676653353\ 9837026504*c_1100_1^3 + 3919613828487871310355529926993349475055/16\ 724908413693038383266769918513252*c_1100_1^2 + 1315300134798595975778139391773668773969/33449816827386076766533539\ 837026504*c_1100_1 - 75279866365036562904864023483334623275/1672490\ 8413693038383266769918513252, c_0011_0 - 1, c_0011_10 - 41032259161458933385888106833/15144490013811704181683053217\ *c_1100_1^15 - 184983511657343304983863166904/151444900138117041816\ 83053217*c_1100_1^14 + 1075618409966427958152947767795/151444900138\ 11704181683053217*c_1100_1^13 + 12970040625548639040560407847182/15\ 144490013811704181683053217*c_1100_1^12 + 161857038950479980822717764333382/15144490013811704181683053217*c_1\ 100_1^11 + 351942187560113493270035430246333/1514449001381170418168\ 3053217*c_1100_1^10 + 535491219477610566139136336260362/15144490013\ 811704181683053217*c_1100_1^9 + 901958370783627296418422125685095/1\ 5144490013811704181683053217*c_1100_1^8 + 1126058866941593837906089275970665/15144490013811704181683053217*c_\ 1100_1^7 + 759494471196487122404772449931733/1514449001381170418168\ 3053217*c_1100_1^6 + 225700025384494183847202953190386/151444900138\ 11704181683053217*c_1100_1^5 - 503379727970806026927976564240/15144\ 490013811704181683053217*c_1100_1^4 - 13708216700241438753747502819271/15144490013811704181683053217*c_11\ 00_1^3 - 1075795617529552811786311763875/15144490013811704181683053\ 217*c_1100_1^2 + 528149871515519191520004327016/1514449001381170418\ 1683053217*c_1100_1 + 83039991762265972953193731644/151444900138117\ 04181683053217, c_0011_11 - c_1100_1 - 1, c_0011_12 - 52807187630702678367430401591/60577960055246816726732212868\ *c_1100_1^15 - 118603434235623162325137148621/302889800276234083633\ 66106434*c_1100_1^14 + 694073038314306816056284364891/3028898002762\ 3408363366106434*c_1100_1^13 + 16669631884194935849208277419457/605\ 77960055246816726732212868*c_1100_1^12 + 208034221492782267416548555812133/60577960055246816726732212868*c_1\ 100_1^11 + 449540918759614759437144018027777/6057796005524681672673\ 2212868*c_1100_1^10 + 681778320606806244789688959660169/60577960055\ 246816726732212868*c_1100_1^9 + 1148719188434775912354794258398623/\ 60577960055246816726732212868*c_1100_1^8 + 1428964526602681069903541316276821/60577960055246816726732212868*c_\ 1100_1^7 + 476025992357433172329750394350019/3028898002762340836336\ 6106434*c_1100_1^6 + 270970882957463498966295152588259/605779600552\ 46816726732212868*c_1100_1^5 - 9159321480943849462048524915987/6057\ 7960055246816726732212868*c_1100_1^4 - 4730694549946612483432891050611/15144490013811704181683053217*c_110\ 0_1^3 - 1010020354497882085186084562321/605779600552468167267322128\ 68*c_1100_1^2 + 617891735091782262119761887637/60577960055246816726\ 732212868*c_1100_1 + 37193581405261170663935182733/6057796005524681\ 6726732212868, c_0011_14 - 161820454193530767160905636689/6057796005524681672673221286\ 8*c_1100_1^15 - 180205576838470519275682397541/15144490013811704181\ 683053217*c_1100_1^14 + 1069683723608243742843532005623/15144490013\ 811704181683053217*c_1100_1^13 + 50911786562541786451774060660437/6\ 0577960055246816726732212868*c_1100_1^12 + 635637535654958344422376342940931/60577960055246816726732212868*c_1\ 100_1^11 + 1354394537225578252695544327654997/605779600552468167267\ 32212868*c_1100_1^10 + 2046698876438601619267234749842115/605779600\ 55246816726732212868*c_1100_1^9 + 346220830659130282219526286528836\ 3/60577960055246816726732212868*c_1100_1^8 + 4276892801948882435203278899117059/60577960055246816726732212868*c_\ 1100_1^7 + 700843982282479854431356319856417/1514449001381170418168\ 3053217*c_1100_1^6 + 784400578584665114795736518115399/605779600552\ 46816726732212868*c_1100_1^5 - 18807685026025628062332776413541/605\ 77960055246816726732212868*c_1100_1^4 - 24527580344395239708876676670549/30288980027623408363366106434*c_11\ 00_1^3 - 3235955197180284220969518686901/60577960055246816726732212\ 868*c_1100_1^2 + 1778438469409202750697608254799/605779600552468167\ 26732212868*c_1100_1 + 309058467736773532248869112189/6057796005524\ 6816726732212868, c_0011_9 - 89911076324927448801054175817/60577960055246816726732212868*\ c_1100_1^15 - 195393055280111279066244361959/3028898002762340836336\ 6106434*c_1100_1^14 + 1210030278421480871838948165941/3028898002762\ 3408363366106434*c_1100_1^13 + 28028763757827209513068790619991/605\ 77960055246816726732212868*c_1100_1^12 + 350134813106692304169574840561547/60577960055246816726732212868*c_1\ 100_1^11 + 714523000052953479238484617548651/6057796005524681672673\ 2212868*c_1100_1^10 + 1057985612606952724009880036175343/6057796005\ 5246816726732212868*c_1100_1^9 + 1803294100920080740388719905975941\ /60577960055246816726732212868*c_1100_1^8 + 2172301608914579668529234700444067/60577960055246816726732212868*c_\ 1100_1^7 + 653979375193753118475636604982877/3028898002762340836336\ 6106434*c_1100_1^6 + 273273191147664337264865585902277/605779600552\ 46816726732212868*c_1100_1^5 - 57112669135696969703924035087901/605\ 77960055246816726732212868*c_1100_1^4 - 6793118289605305095672258740982/15144490013811704181683053217*c_110\ 0_1^3 + 507316954777680419334813463081/6057796005524681672673221286\ 8*c_1100_1^2 + 989146547148074756361551201235/605779600552468167267\ 32212868*c_1100_1 + 90554002346635203075549188859/60577960055246816\ 726732212868, c_0101_0 + 22482176914902654511618497005/30288980027623408363366106434*\ c_1100_1^15 + 49710912800147733483908069793/15144490013811704181683\ 053217*c_1100_1^14 - 298894446723706097478430765471/151444900138117\ 04181683053217*c_1100_1^13 - 7054529589841789185104363501745/302889\ 80027623408363366106434*c_1100_1^12 - 88079733305552772517989744366255/30288980027623408363366106434*c_11\ 00_1^11 - 185295194873152484273282879150103/30288980027623408363366\ 106434*c_1100_1^10 - 277913240038052413093261800401455/302889800276\ 23408363366106434*c_1100_1^9 - 471445018013593706589594062779587/30\ 288980027623408363366106434*c_1100_1^8 - 578496812835513560045188801245777/30288980027623408363366106434*c_1\ 100_1^7 - 184840558598641250752526956407264/15144490013811704181683\ 053217*c_1100_1^6 - 96305640567182652901838639809291/30288980027623\ 408363366106434*c_1100_1^5 + 4487177629822997055990371324043/302889\ 80027623408363366106434*c_1100_1^4 + 2536643257582080918492715640390/15144490013811704181683053217*c_110\ 0_1^3 - 42587818900605289306083728881/30288980027623408363366106434\ *c_1100_1^2 - 98292768242541924142493941741/30288980027623408363366\ 106434*c_1100_1 - 2965547538263416444088834351/30288980027623408363\ 366106434, c_0101_1 - 32841305408967459976928180443/30288980027623408363366106434*\ c_1100_1^15 - 145840659410240643366287383063/3028898002762340836336\ 6106434*c_1100_1^14 + 868993002158060120682247534285/30288980027623\ 408363366106434*c_1100_1^13 + 5157378753417961926927988626158/15144\ 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seconds, Total memory usage: 1355.56MB