LIB "tst.lib"; tst_init(); LIB "triang.lib"; example triangL; example triangLfak; example triangM; example triangMH; ring rW9 = (0),(m,h,g,f,e,d,c,b,a),(c,lp(9)); ideal i = m+h+g+f+e+d+c+b+a2-a-8, m+h+g+f+e+d+c+b2-b+a-8, m+h+g+f+e+d+c2-c+b+a-8, m+h+g+f+e+d2-d+c+b+a-8, m+h+g+f+e2-e+d+c+b+a-8, m+h+g+f2-f+e+d+c+b+a-8, m+h+g2-g+f+e+d+c+b+a-8, m+h2-h+g+f+e+d+c+b+a-8, m2-m+h+g+f+e+d+c+b+a-8; ideal G = a18-9a17-84a16+996a15+174a14-29358a13+89732a12+120492a11-1201527a10+2535167a9-938232a8-5930952a7+14210448a6-16694544a5+11913984a4-5255936a3+1327104a2-147456a, 8ba14-56ba13-280ba12+2856ba11-2856ba10-28392ba9+97656ba8-81096ba7-170688ba6+513856ba5-601216ba4+380800ba3-129024ba2+18432ba+a16-8a15-36a14+448a13-434a12-6048a11+18612a10+6048a9-108855a8+166664a7+31304a6-391104a5+537488a4-362368a3+126720a2-18432a, b2-2b-a2+2a, 8ca14-56ca13-280ca12+2856ca11-2856ca10-28392ca9+97656ca8-81096ca7-170688ca6+513856ca5-601216ca4+380800ca3-129024ca2+18432ca+a16-8a15-36a14+448a13-434a12-6048a11+18612a10+6048a9-108855a8+166664a7+31304a6-391104a5+537488a4-362368a3+126720a2-18432a, 42cba10-210cba9-420cba8+3780cba7-5502cba6-5082cba5+22680cba4-26040cba3+13440cba2-2688cba+7ca12-42ca11-77ca10+910ca9-1127ca8-3710ca7+10129ca6-3038ca5-16100ca4+23352ca3-12992ca2+2688ca+7ba12-42ba11-77ba10+910ba9-1127ba8-3710ba7+10129ba6-3038ba5-16100ba4+23352ba3-12992ba2+2688ba+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, c2-2c-a2+2a, 8da14-56da13-280da12+2856da11-2856da10-28392da9+97656da8-81096da7-170688da6+513856da5-601216da4+380800da3-129024da2+18432da+a16-8a15-36a14+448a13-434a12-6048a11+18612a10+6048a9-108855a8+166664a7+31304a6-391104a5+537488a4-362368a3+126720a2-18432a, 42dba10-210dba9-420dba8+3780dba7-5502dba6-5082dba5+22680dba4-26040dba3+13440dba2-2688dba+7da12-42da11-77da10+910da9-1127da8-3710da7+10129da6-3038da5-16100da4+23352da3-12992da2+2688da+7ba12-42ba11-77ba10+910ba9-1127ba8-3710ba7+10129ba6-3038ba5-16100ba4+23352ba3-12992ba2+2688ba+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 42dca10-210dca9-420dca8+3780dca7-5502dca6-5082dca5+22680dca4-26040dca3+13440dca2-2688dca+7da12-42da11-77da10+910da9-1127da8-3710da7+10129da6-3038da5-16100da4+23352da3-12992da2+2688da+7ca12-42ca11-77ca10+910ca9-1127ca8-3710ca7+10129ca6-3038ca5-16100ca4+23352ca3-12992ca2+2688ca+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120dcba6-360dcba5-120dcba4+1320dcba3-1440dcba2+480dcba+30dca8-120dca7-60dca6+720dca5-570dca4-840dca3+1320dca2-480dca+30dba8-120dba7-60dba6+720dba5-570dba4-840dba3+1320dba2-480dba+6da10-30da9+180da7-66da6-606da5+300da4+1320da3-1680da2+576da+30cba8-120cba7-60cba6+720cba5-570cba4-840cba3+1320cba2-480cba+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, d2-2d-a2+2a, 8ea14-56ea13-280ea12+2856ea11-2856ea10-28392ea9+97656ea8-81096ea7-170688ea6+513856ea5-601216ea4+380800ea3-129024ea2+18432ea+a16-8a15-36a14+448a13-434a12-6048a11+18612a10+6048a9-108855a8+166664a7+31304a6-391104a5+537488a4-362368a3+126720a2-18432a, 42eba10-210eba9-420eba8+3780eba7-5502eba6-5082eba5+22680eba4-26040eba3+13440eba2-2688eba+7ea12-42ea11-77ea10+910ea9-1127ea8-3710ea7+10129ea6-3038ea5-16100ea4+23352ea3-12992ea2+2688ea+7ba12-42ba11-77ba10+910ba9-1127ba8-3710ba7+10129ba6-3038ba5-16100ba4+23352ba3-12992ba2+2688ba+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 42eca10-210eca9-420eca8+3780eca7-5502eca6-5082eca5+22680eca4-26040eca3+13440eca2-2688eca+7ea12-42ea11-77ea10+910ea9-1127ea8-3710ea7+10129ea6-3038ea5-16100ea4+23352ea3-12992ea2+2688ea+7ca12-42ca11-77ca10+910ca9-1127ca8-3710ca7+10129ca6-3038ca5-16100ca4+23352ca3-12992ca2+2688ca+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120ecba6-360ecba5-120ecba4+1320ecba3-1440ecba2+480ecba+30eca8-120eca7-60eca6+720eca5-570eca4-840eca3+1320eca2-480eca+30eba8-120eba7-60eba6+720eba5-570eba4-840eba3+1320eba2-480eba+6ea10-30ea9+180ea7-66ea6-606ea5+300ea4+1320ea3-1680ea2+576ea+30cba8-120cba7-60cba6+720cba5-570cba4-840cba3+1320cba2-480cba+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 42eda10-210eda9-420eda8+3780eda7-5502eda6-5082eda5+22680eda4-26040eda3+13440eda2-2688eda+7ea12-42ea11-77ea10+910ea9-1127ea8-3710ea7+10129ea6-3038ea5-16100ea4+23352ea3-12992ea2+2688ea+7da12-42da11-77da10+910da9-1127da8-3710da7+10129da6-3038da5-16100da4+23352da3-12992da2+2688da+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120edba6-360edba5-120edba4+1320edba3-1440edba2+480edba+30eda8-120eda7-60eda6+720eda5-570eda4-840eda3+1320eda2-480eda+30eba8-120eba7-60eba6+720eba5-570eba4-840eba3+1320eba2-480eba+6ea10-30ea9+180ea7-66ea6-606ea5+300ea4+1320ea3-1680ea2+576ea+30dba8-120dba7-60dba6+720dba5-570dba4-840dba3+1320dba2-480dba+6da10-30da9+180da7-66da6-606da5+300da4+1320da3-1680da2+576da+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120edca6-360edca5-120edca4+1320edca3-1440edca2+480edca+30eda8-120eda7-60eda6+720eda5-570eda4-840eda3+1320eda2-480eda+30eca8-120eca7-60eca6+720eca5-570eca4-840eca3+1320eca2-480eca+6ea10-30ea9+180ea7-66ea6-606ea5+300ea4+1320ea3-1680ea2+576ea+30dca8-120dca7-60dca6+720dca5-570dca4-840dca3+1320dca2-480dca+6da10-30da9+180da7-66da6-606da5+300da4+1320da3-1680da2+576da+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120edcba2-120edcba+60edca4-120edca3-60edca2+120edca+60edba4-120edba3-60edba2+120edba+20eda6-60eda5-20eda4+100eda3+120eda2-160eda+60ecba4-120ecba3-60ecba2+120ecba+20eca6-60eca5-20eca4+100eca3+120eca2-160eca+20eba6-60eba5-20eba4+100eba3+120eba2-160eba+5ea8-20ea7+10ea6+125ea4-100ea3-260ea2+240ea+60dcba4-120dcba3-60dcba2+120dcba+20dca6-60dca5-20dca4+100dca3+120dca2-160dca+20dba6-60dba5-20dba4+100dba3+120dba2-160dba+5da8-20da7+10da6+125da4-100da3-260da2+240da+20cba6-60cba5-20cba4+100cba3+120cba2-160cba+5ca8-20ca7+10ca6+125ca4-100ca3-260ca2+240ca+5ba8-20ba7+10ba6+125ba4-100ba3-260ba2+240ba+a10-5a9+10a8-30a7+69a6+39a5-280a4+20a3+560a2-384a, e2-2e-a2+2a, 8fa14-56fa13-280fa12+2856fa11-2856fa10-28392fa9+97656fa8-81096fa7-170688fa6+513856fa5-601216fa4+380800fa3-129024fa2+18432fa+a16-8a15-36a14+448a13-434a12-6048a11+18612a10+6048a9-108855a8+166664a7+31304a6-391104a5+537488a4-362368a3+126720a2-18432a, 42fba10-210fba9-420fba8+3780fba7-5502fba6-5082fba5+22680fba4-26040fba3+13440fba2-2688fba+7fa12-42fa11-77fa10+910fa9-1127fa8-3710fa7+10129fa6-3038fa5-16100fa4+23352fa3-12992fa2+2688fa+7ba12-42ba11-77ba10+910ba9-1127ba8-3710ba7+10129ba6-3038ba5-16100ba4+23352ba3-12992ba2+2688ba+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 42fca10-210fca9-420fca8+3780fca7-5502fca6-5082fca5+22680fca4-26040fca3+13440fca2-2688fca+7fa12-42fa11-77fa10+910fa9-1127fa8-3710fa7+10129fa6-3038fa5-16100fa4+23352fa3-12992fa2+2688fa+7ca12-42ca11-77ca10+910ca9-1127ca8-3710ca7+10129ca6-3038ca5-16100ca4+23352ca3-12992ca2+2688ca+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120fcba6-360fcba5-120fcba4+1320fcba3-1440fcba2+480fcba+30fca8-120fca7-60fca6+720fca5-570fca4-840fca3+1320fca2-480fca+30fba8-120fba7-60fba6+720fba5-570fba4-840fba3+1320fba2-480fba+6fa10-30fa9+180fa7-66fa6-606fa5+300fa4+1320fa3-1680fa2+576fa+30cba8-120cba7-60cba6+720cba5-570cba4-840cba3+1320cba2-480cba+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 42fda10-210fda9-420fda8+3780fda7-5502fda6-5082fda5+22680fda4-26040fda3+13440fda2-2688fda+7fa12-42fa11-77fa10+910fa9-1127fa8-3710fa7+10129fa6-3038fa5-16100fa4+23352fa3-12992fa2+2688fa+7da12-42da11-77da10+910da9-1127da8-3710da7+10129da6-3038da5-16100da4+23352da3-12992da2+2688da+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120fdba6-360fdba5-120fdba4+1320fdba3-1440fdba2+480fdba+30fda8-120fda7-60fda6+720fda5-570fda4-840fda3+1320fda2-480fda+30fba8-120fba7-60fba6+720fba5-570fba4-840fba3+1320fba2-480fba+6fa10-30fa9+180fa7-66fa6-606fa5+300fa4+1320fa3-1680fa2+576fa+30dba8-120dba7-60dba6+720dba5-570dba4-840dba3+1320dba2-480dba+6da10-30da9+180da7-66da6-606da5+300da4+1320da3-1680da2+576da+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120fdca6-360fdca5-120fdca4+1320fdca3-1440fdca2+480fdca+30fda8-120fda7-60fda6+720fda5-570fda4-840fda3+1320fda2-480fda+30fca8-120fca7-60fca6+720fca5-570fca4-840fca3+1320fca2-480fca+6fa10-30fa9+180fa7-66fa6-606fa5+300fa4+1320fa3-1680fa2+576fa+30dca8-120dca7-60dca6+720dca5-570dca4-840dca3+1320dca2-480dca+6da10-30da9+180da7-66da6-606da5+300da4+1320da3-1680da2+576da+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120fdcba2-120fdcba+60fdca4-120fdca3-60fdca2+120fdca+60fdba4-120fdba3-60fdba2+120fdba+20fda6-60fda5-20fda4+100fda3+120fda2-160fda+60fcba4-120fcba3-60fcba2+120fcba+20fca6-60fca5-20fca4+100fca3+120fca2-160fca+20fba6-60fba5-20fba4+100fba3+120fba2-160fba+5fa8-20fa7+10fa6+125fa4-100fa3-260fa2+240fa+60dcba4-120dcba3-60dcba2+120dcba+20dca6-60dca5-20dca4+100dca3+120dca2-160dca+20dba6-60dba5-20dba4+100dba3+120dba2-160dba+5da8-20da7+10da6+125da4-100da3-260da2+240da+20cba6-60cba5-20cba4+100cba3+120cba2-160cba+5ca8-20ca7+10ca6+125ca4-100ca3-260ca2+240ca+5ba8-20ba7+10ba6+125ba4-100ba3-260ba2+240ba+a10-5a9+10a8-30a7+69a6+39a5-280a4+20a3+560a2-384a, 42fea10-210fea9-420fea8+3780fea7-5502fea6-5082fea5+22680fea4-26040fea3+13440fea2-2688fea+7fa12-42fa11-77fa10+910fa9-1127fa8-3710fa7+10129fa6-3038fa5-16100fa4+23352fa3-12992fa2+2688fa+7ea12-42ea11-77ea10+910ea9-1127ea8-3710ea7+10129ea6-3038ea5-16100ea4+23352ea3-12992ea2+2688ea+a14-7a13-7a12+147a11-203a10-749a9+1399a8+3205a7-8750a6-1092a5+22568a4-28672a3+15232a2-3072a, 120feba6-360feba5-120feba4+1320feba3-1440feba2+480feba+30fea8-120fea7-60fea6+720fea5-570fea4-840fea3+1320fea2-480fea+30fba8-120fba7-60fba6+720fba5-570fba4-840fba3+1320fba2-480fba+6fa10-30fa9+180fa7-66fa6-606fa5+300fa4+1320fa3-1680fa2+576fa+30eba8-120eba7-60eba6+720eba5-570eba4-840eba3+1320eba2-480eba+6ea10-30ea9+180ea7-66ea6-606ea5+300ea4+1320ea3-1680ea2+576ea+6ba10-30ba9+180ba7-66ba6-606ba5+300ba4+1320ba3-1680ba2+576ba+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120feca6-360feca5-120feca4+1320feca3-1440feca2+480feca+30fea8-120fea7-60fea6+720fea5-570fea4-840fea3+1320fea2-480fea+30fca8-120fca7-60fca6+720fca5-570fca4-840fca3+1320fca2-480fca+6fa10-30fa9+180fa7-66fa6-606fa5+300fa4+1320fa3-1680fa2+576fa+30eca8-120eca7-60eca6+720eca5-570eca4-840eca3+1320eca2-480eca+6ea10-30ea9+180ea7-66ea6-606ea5+300ea4+1320ea3-1680ea2+576ea+6ca10-30ca9+180ca7-66ca6-606ca5+300ca4+1320ca3-1680ca2+576ca+a12-6a11+7a10+10a9+19a8-50a7-431a6+1078a5+100a4-2424a3+2464a2-768a, 120fecba2-120fecba+60feca4-120feca3-60feca2+120feca+60feba4-120feba3-60feba2+120feba+20fea6-60fea5-20fea4+100fea3+120fea2-160fea+60fcba4-120fcba3-60fcba2+120fcba+20fca6-60fca5-20fca4+100fca3+120fca2-160fca+20fba6-60fba5-20fba4+100fba3+120fba2-160fba+5fa8-20fa7+10fa6+125fa4-100fa3-260fa2+240fa+60ecba4-120ecba3-60ecba2+120ecba+20eca6-60eca5-20eca4+100eca3+120eca2-160eca+20eba6-60eba5-20eba4+100eba3+120eba2-160eba+5ea8-20ea7+10ea6+125ea4-100ea3-260ea2+240ea+20cba6-60cba5-20cba4+100cba3+120cba2-160cba+5ca8-20ca7+10ca6+125ca4-100ca3-260ca2+240ca+5ba8-20ba7+10ba6+125ba4-100ba3-260ba2+240ba+a10-5a9+10a8-30a7+69a6+39a5-280a4+20a3+560a2-384a, 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120hfdba2-120hfdba+60hfda4-120hfda3-60hfda2+120hfda+60hfba4-120hfba3-60hfba2+120hfba+20hfa6-60hfa5-20hfa4+100hfa3+120hfa2-160hfa+60hdba4-120hdba3-60hdba2+120hdba+20hda6-60hda5-20hda4+100hda3+120hda2-160hda+20hba6-60hba5-20hba4+100hba3+120hba2-160hba+5ha8-20ha7+10ha6+125ha4-100ha3-260ha2+240ha+60fdba4-120fdba3-60fdba2+120fdba+20fda6-60fda5-20fda4+100fda3+120fda2-160fda+20fba6-60fba5-20fba4+100fba3+120fba2-160fba+5fa8-20fa7+10fa6+125fa4-100fa3-260fa2+240fa+20dba6-60dba5-20dba4+100dba3+120dba2-160dba+5da8-20da7+10da6+125da4-100da3-260da2+240da+5ba8-20ba7+10ba6+125ba4-100ba3-260ba2+240ba+a10-5a9+10a8-30a7+69a6+39a5-280a4+20a3+560a2-384a, 24hfdc+24hfdb+24hfda2-24hfda-48hfd+24hfcb+24hfca2-24hfca-48hfc+24hfba2-24hfba-48hfb+12hfa4-24hfa3-36hfa2+24hfa+96hf+24hdcb+24hdca2-24hdca-48hdc+24hdba2-24hdba-48hdb+12hda4-24hda3-36hda2+24hda+96hd+24hcba2-24hcba-48hcb+12hca4-24hca3-36hca2+24hca+96hc+12hba4-24hba3-36hba2+24hba+96hb+4ha6-12ha5-4ha4-4ha3+96ha2+16ha-192h+24fdcb+24fdca2-24fdca-48fdc+24fdba2-24fdba-48fdb+12fda4-24fda3-36fda2+24fda+96fd+24fcba2-24fcba-48fcb+12fca4-24fca3-36fca2+24fca+96fc+12fba4-24fba3-36fba2+24fba+96fb+4fa6-12fa5-4fa4-4fa3+96fa2+16fa-192f+24dcba2-24dcba-48dcb+12dca4-24dca3-36dca2+24dca+96dc+12dba4-24dba3-36dba2+24dba+96db+4da6-12da5-4da4-4da3+96da2+16da-192d+12cba4-24cba3-36cba2+24cba+96cb+4ca6-12ca5-4ca4-4ca3+96ca2+16ca-192c+4ba6-12ba5-4ba4-4ba3+96ba2+16ba-192b+a8-4a7+6a6-24a5+45a4+84a3-196a2-176a+384, 6hfe+6hfd+6hfc+6hfb+6hfa2-6hfa-24hf+6hed+6hec+6heb+6hea2-6hea-24he+6hdc+6hdb+6hda2-6hda-24hd+6hcb+6hca2-6hca-24hc+6hba2-6hba-24hb+3ha4-6ha3-15ha2+6ha+72h+6fed+6fec+6feb+6fea2-6fea-24fe+6fdc+6fdb+6fda2-6fda-24fd+6fcb+6fca2-6fca-24fc+6fba2-6fba-24fb+3fa4-6fa3-15fa2+6fa+72f+6edc+6edb+6eda2-6eda-24ed+6ecb+6eca2-6eca-24ec+6eba2-6eba-24eb+3ea4-6ea3-15ea2+6ea+72e+6dcb+6dca2-6dca-24dc+6dba2-6dba-24db+3da4-6da3-15da2+6da+72d+6cba2-6cba-24cb+3ca4-6ca3-15ca2+6ca+72c+3ba4-6ba3-15ba2+6ba+72b+a6-3a5-a4-7a3+42a2+40a-192, 2hg+2hf+2he+2hd+2hc+2hb+2ha2-2ha-12h+2gf+2ge+2gd+2gc+2gb+2ga2-2ga-12g+2fe+2fd+2fc+2fb+2fa2-2fa-12f+2ed+2ec+2eb+2ea2-2ea-12e+2dc+2db+2da2-2da-12d+2cb+2ca2-2ca-12c+2ba2-2ba-12b+a4-2a3-7a2+2a+48, h2-2h-a2+2a, m+h+g+f+e+d+c+b+a2-a-8; attrib(G,"isSB",1); attrib(G,"isSB",1); triangL(G); triangLfak(G); triangM(G); triangM(G, 2); triangMH(G); triangMH(G,2); tst_status(1);$