| Flat knots (up to 7 crossings) with same arrow polynomial are :['3.1', '5.15', '5.45', '5.50', '5.52', '5.68', '5.69', '5.70', '5.72', '5.74', '5.77', '5.78', '5.80', '5.87', '5.98', '5.101', '5.108', '6.63', '6.301', '6.347', '6.885', '6.998', '6.1190', '6.1268', '6.1318', '6.1487', '6.1583', '6.1715', '6.1877', '6.1934', '7.329', '7.337', '7.357', '7.380', '7.681', '7.707', '7.733', '7.915', '7.931', '7.1595', '7.1601', '7.1711', '7.2232', '7.2234', '7.2236', '7.2244', '7.2264', '7.2280', '7.2288', '7.2294', '7.2586', '7.2617', '7.2639', '7.2643', '7.2937', '7.2954', '7.2959', '7.3318', '7.3338', '7.3365', '7.3366', '7.3637', '7.3661', '7.4204', '7.4233', '7.4537', '7.4635', '7.4680', '7.4681', '7.4815', '7.5102', '7.5300', '7.5366', '7.5486', '7.5612', '7.5648', '7.5801', '7.6484', '7.6529', '7.6534', '7.6653', '7.6736', '7.7039', '7.8409', '7.8501', '7.8521', '7.8525', '7.8620', '7.9002', '7.9663', '7.9672', '7.9688', '7.9692', '7.9700', '7.9708', '7.9768', '7.9904', '7.9935', '7.10822', '7.11703', '7.11716', '7.11717', '7.11720', '7.11721', '7.11725', '7.11830', '7.11865', '7.11878', '7.11880', '7.11881', '7.11885', '7.12033', '7.12046', '7.12047', '7.12048', '7.12051', '7.12123', '7.12135', '7.12307', '7.12327', '7.12444', '7.12534', '7.12735', '7.12736', '7.12739', '7.12748', '7.12751', '7.12823', '7.12832', '7.12850', '7.12861', '7.12961', '7.12976', '7.13424', '7.13437', '7.13444', '7.13458', '7.13471', '7.13483', '7.13550', '7.13554', '7.13611', '7.13830', '7.13860', '7.13938', '7.14204', '7.14228', '7.14246', '7.14310', '7.14498', '7.14597', '7.14727', '7.14787', '7.15079', '7.15080', '7.15085', '7.15096', '7.15098', '7.15102', '7.15107', '7.15116', '7.15158', '7.15353', '7.15667', '7.15841', '7.16200', '7.16208', '7.16211', '7.16212', '7.16218', '7.16225', '7.16468', '7.16470', '7.16476', '7.16577', '7.16583', '7.16715', '7.16716', '7.16718', '7.16722', '7.16791', '7.17000', '7.17177', '7.17179', '7.17226', '7.17274', '7.17275', '7.17300', '7.17429', '7.17452', '7.17509', '7.17524', '7.17601', '7.17603', '7.17661', '7.17691', '7.17720', '7.17721', '7.17725', '7.17753', '7.17772', '7.17855', '7.17857', '7.17994', '7.18597', '7.18601', '7.18607', '7.18608', '7.19134', '7.19136', '7.19138', '7.19140', '7.19198', '7.19203', '7.19380', '7.19419', '7.19684', '7.19926', '7.20366', '7.21136', '7.21137', '7.21146', '7.21151', '7.21176', '7.21223', '7.21321', '7.21323', '7.21339', '7.21375', '7.21410', '7.21428', '7.21434', '7.21439', '7.21729', '7.21739', '7.21787', '7.21791', '7.22090', '7.22134', '7.22257', '7.22319', '7.22323', '7.22555', '7.22759', '7.23434', '7.23572', '7.23664', '7.23803', '7.24149', '7.24151', '7.24307', '7.24346', '7.24356', '7.24360', '7.24482', '7.24496', '7.24499', '7.24696', '7.24853', '7.24854', '7.24865', '7.24867', '7.24910', '7.24964', '7.24988', '7.24992', '7.25034', '7.25052', '7.25125', '7.25328', '7.25333', '7.25341', '7.25348', '7.25357', '7.25367', '7.25394', '7.25485', '7.25493', '7.25541', '7.25614', '7.25841', '7.25850', '7.25878', '7.25994', '7.26006', '7.26013', '7.26051', '7.26061', '7.26072', '7.26081', '7.26120', '7.26156', '7.26178', '7.26452', '7.26456', '7.26457', '7.26571', '7.26810', '7.26814', '7.26818', '7.26822', '7.26829', '7.26955', '7.26971', '7.26989', '7.27023', '7.27050', '7.27160', '7.27161', '7.27307', '7.27328', '7.27545', '7.27575', '7.27576', '7.27596', '7.27612', '7.27631', '7.27694', '7.27736', '7.27744', '7.27851', '7.27956', '7.28159', '7.28168', '7.28170', '7.28171', '7.28173', '7.28178', '7.28191', '7.28194', '7.28315', '7.28358', '7.28365', '7.28374', '7.28375', '7.28380', '7.28458', '7.28502', '7.28514', '7.28654', '7.28668', '7.28701', '7.28952', '7.28953', '7.29045', '7.29058', '7.29082', '7.29105', '7.29112', '7.29113', '7.29115', '7.29118', '7.29121', '7.29122', '7.29186', '7.29471', '7.29487', '7.29495', '7.29502', '7.29505', '7.29679', '7.29682', '7.29835', '7.29852', '7.29985', '7.30040', '7.30095', '7.30161', '7.30190', '7.30391', '7.30621', '7.30636', '7.30944', '7.30953', '7.30957', '7.30959', '7.31090', '7.31103', '7.31110', '7.31113', '7.31119', '7.31256', '7.31462', '7.31490', '7.31516', '7.31738', '7.31752', '7.31881', '7.32043', '7.32072', '7.32083', '7.32108', '7.32123', '7.32132', '7.32140', '7.32146', '7.32156', '7.32198', '7.32287', '7.32517', '7.32520', '7.32528', '7.32573', '7.32635', '7.32691', '7.32773', '7.32776', '7.32777', '7.32778', '7.32850', '7.32891', '7.32900', '7.32921', '7.33010', '7.33016', '7.33041', '7.33043', '7.33123', '7.33125', '7.33145', '7.33183', '7.33239', '7.33244', '7.33254', '7.33290', '7.33311', '7.33485', '7.33512', '7.33533', '7.33535', '7.33540', '7.33579', '7.33598', '7.33733', '7.33734', '7.33796', '7.33810', '7.33811', '7.33839', '7.34193', '7.34197', '7.34201', '7.34287', '7.34339', '7.34410', '7.34432', '7.34525', '7.34680', '7.34691', '7.34865', '7.34966', '7.34979', '7.35002', '7.35004', '7.35034', '7.35058', '7.35084', '7.35130', '7.35141', '7.35292', '7.35294', '7.35311', '7.35317', '7.35324', '7.35327', '7.35388', '7.35389', '7.35396', '7.35397', '7.35414', '7.35426', '7.35434', '7.35435', '7.35437', '7.35439', '7.35440', '7.35477', '7.35479', '7.35481', '7.35483', '7.35497', '7.35544', '7.35552', '7.35559', '7.35575', '7.35576', '7.35578', '7.35600', '7.35602', '7.35619', '7.35637', '7.35641', '7.35650', '7.35671', '7.35674', '7.35702', '7.35715', '7.35739', '7.35799', '7.35813', '7.35877', '7.35913', '7.35939', '7.35941', '7.35970', '7.35996', '7.36005', '7.36007', '7.36031', '7.36101', '7.36129', '7.36130', '7.36136', '7.36152', '7.36211', '7.36238', '7.36297', '7.36310', '7.36311', '7.36317', '7.36325', '7.36343', '7.36344', '7.36345', '7.36349', '7.36354', '7.36371', '7.36372', '7.36374', '7.36380', '7.36385', '7.36387', '7.36390', '7.36391', '7.36393', '7.36394', '7.36399', '7.36402', '7.36404', '7.36406', '7.36429', '7.36432', '7.36434', '7.36437', '7.36438', '7.36446', '7.36448', '7.36452', '7.36453', '7.36454', '7.36461', '7.36464', '7.36473', '7.36484', '7.36495', '7.36499', '7.36500', '7.36503', '7.36508', '7.36512', '7.36530', '7.36535', '7.36543', '7.36548', '7.36549', '7.36550', '7.36553', '7.36566', '7.36567', '7.36568', '7.36569', '7.36572', '7.36575', '7.36578', '7.36595', '7.36596', '7.36600', '7.36608', '7.36612', '7.36626', '7.36628', '7.36629', '7.36635', '7.36637', '7.36642', '7.36644', '7.36645', '7.36650', '7.36654', '7.36658', '7.36664', '7.36668', '7.36676', '7.36679', '7.36682', '7.36701', '7.36702', '7.36710', '7.36716', '7.36717', '7.36721', '7.36722', '7.36797', '7.36934', '7.36963', '7.37037', '7.37083', '7.37100', '7.37106', '7.37115', '7.37136', '7.37178', '7.37198', '7.37260', '7.37364', '7.37461', '7.37464', '7.37472', '7.37480', '7.37483', '7.37693', '7.37704', '7.37705', '7.37709', '7.37711', '7.37714', '7.37734', '7.37764', '7.37869', '7.37877', '7.37908', '7.37930', '7.37940', '7.37954', '7.37959', '7.38111', '7.38156', '7.38217', '7.38236', '7.38237', '7.38239', '7.38279', '7.38392', '7.38443', '7.38446', '7.38448', '7.38536', '7.38546', '7.38548', '7.38549', '7.38606', '7.38708', '7.38730', '7.38751', '7.38752', '7.38753', '7.38757', '7.38987', '7.38988', '7.38991', '7.38994', '7.39008', '7.39011', '7.39013', '7.39014', '7.39035', '7.39050', '7.39061', '7.39062', '7.39066', '7.39068', '7.39074', '7.39075', '7.39093', '7.39094', '7.39098', '7.39104', '7.39105', '7.39125', '7.39127', '7.39136', '7.39144', '7.39145', '7.39148', '7.39149', '7.39173', '7.39182', '7.39191', '7.39220', '7.39228', '7.39236', '7.39237', '7.39238', '7.39239', '7.39240', '7.39245', '7.39247', '7.39251', '7.39252', '7.39253', '7.39254', '7.39281', '7.39306', '7.39310', '7.39346', '7.39351', '7.39550', '7.39555', '7.39557', '7.39612', '7.39640', '7.39643', '7.39658', '7.39746', '7.39762', '7.39843', '7.40173', '7.40381', '7.40389', '7.40528', '7.40555', '7.40566', '7.40644', '7.40655', '7.40670', '7.40790', '7.40824', '7.40862', '7.40924', '7.40969', '7.40981', '7.41002', '7.41008', '7.41046', '7.41085', '7.41128', '7.41180', '7.41244', '7.41247', '7.41267', '7.41313', '7.41322', '7.41569', '7.41584', '7.41756', '7.41758', '7.41761', '7.41762', '7.41765', '7.41768', '7.42158', '7.42437', '7.42575', '7.42613', '7.42713', '7.42735', '7.42737', '7.42741', '7.42745', '7.42747', '7.43169', '7.43357', '7.43430', '7.43638', '7.43653', '7.43824', '7.43854', '7.43855', '7.43895', '7.43925', '7.43926', '7.43930', '7.44076', '7.44078', '7.44153', '7.44172', '7.44232', '7.44245', '7.44247', '7.44251', '7.44280', '7.44289', '7.44306', '7.44308', '7.44313', '7.44337', '7.44338', '7.44367', '7.44385', '7.44388', '7.44395', '7.44407', '7.44460', '7.44463', '7.44474', '7.44478', '7.44479', '7.44500', '7.44511', '7.44516', '7.44534', '7.44550', '7.44560', '7.44561', '7.44574', '7.44600', '7.44608', '7.44611', '7.44619', '7.44620', '7.44622', '7.44643', '7.44647', '7.44648', '7.44660', '7.44816', '7.44842', '7.44868', '7.44972', '7.45037', '7.45038', '7.45040', '7.45049', '7.45058', '7.45070'] |
| Virtual knots (up to 6 crossings) projecting to this knot are :'vk3.1', 'vk3.3', 'vk3.4', 'vk5.123', 'vk5.126', 'vk5.131', 'vk5.134', 'vk5.197', 'vk5.200', 'vk5.205', 'vk5.208', 'vk5.213', 'vk5.216', 'vk5.221', 'vk5.224', 'vk5.245', 'vk5.248', 'vk5.251', 'vk5.254', 'vk5.291', 'vk5.294', 'vk5.299', 'vk5.302', 'vk5.306', 'vk5.309', 'vk5.314', 'vk5.317', 'vk5.338', 'vk5.341', 'vk5.345', 'vk5.348', 'vk5.386', 'vk5.428', 'vk5.480', 'vk5.481', 'vk5.488', 'vk5.507', 'vk5.517', 'vk5.539', 'vk5.583', 'vk5.585', 'vk5.588', 'vk5.590', 'vk5.631', 'vk5.633', 'vk5.642', 'vk5.679', 'vk5.680', 'vk5.681', 'vk5.682', 'vk5.696', 'vk5.703', 'vk5.704', 'vk5.714', 'vk5.715', 'vk5.716', 'vk5.717', 'vk5.725', 'vk5.732', 'vk5.735', 'vk5.740', 'vk5.743', 'vk5.754', 'vk5.757', 'vk5.760', 'vk5.763', 'vk5.771', 'vk5.773', 'vk5.825', 'vk5.826', 'vk5.829', 'vk5.830', 'vk5.849', 'vk5.856', 'vk5.857', 'vk5.869', 'vk5.870', 'vk5.871', 'vk5.872', 'vk5.917', 'vk5.940', 'vk5.942', 'vk5.947', 'vk5.949', 'vk5.985', 'vk5.986', 'vk5.992', 'vk5.994', 'vk5.1012', 'vk5.1018', 'vk5.1020', 'vk5.1026', 'vk5.1029', 'vk5.1063', 'vk5.1066', 'vk5.1069', 'vk5.1071', 'vk5.1074', 'vk5.1077', 'vk5.1081', 'vk5.1084', 'vk5.1089', 'vk5.1092', 'vk5.1094', 'vk5.1100', 'vk5.1102', 'vk5.1108', 'vk5.1113', 'vk5.1116', 'vk5.1121', 'vk5.1124', 'vk5.1126', 'vk5.1131', 'vk5.1135', 'vk5.1136', 'vk5.1140', 'vk5.1142', 'vk5.1154', 'vk5.1169', 'vk5.1175', 'vk5.1177', 'vk5.1183', 'vk5.1208', 'vk5.1209', 'vk5.1214', 'vk5.1215', 'vk5.1223', 'vk5.1224', 'vk5.1225', 'vk5.1226', 'vk5.1244', 'vk5.1248', 'vk5.1258', 'vk5.1264', 'vk5.1266', 'vk5.1269', 'vk5.1277', 'vk5.1283', 'vk5.1285', 'vk5.1288', 'vk5.1289', 'vk5.1290', 'vk5.1293', 'vk5.1294', 'vk5.1312', 'vk5.1318', 'vk5.1320', 'vk5.1326', 'vk5.1338', 'vk5.1341', 'vk5.1342', 'vk5.1345', 'vk5.1392', 'vk5.1395', 'vk5.1400', 'vk5.1403', 'vk5.1408', 'vk5.1414', 'vk5.1477', 'vk5.1482', 'vk5.1577', 'vk5.1598', 'vk5.1602', 'vk5.1612', 'vk5.1618', 'vk5.1620', 'vk5.1626', 'vk5.1632', 'vk5.1637', 'vk5.1657', 'vk5.1663', 'vk5.1665', 'vk5.1671', 'vk5.1696', 'vk5.1697', 'vk5.1698', 'vk5.1699', 'vk5.1704', 'vk5.1707', 'vk5.1710', 'vk5.1711', 'vk5.1714', 'vk5.1715', 'vk5.1718', 'vk5.1722', 'vk5.1725', 'vk5.1729', 'vk5.1734', 'vk5.1736', 'vk5.1739', 'vk5.1740', 'vk5.1743', 'vk5.1744', 'vk5.1747', 'vk5.1748', 'vk5.1754', 'vk5.1756', 'vk5.1759', 'vk5.1785', 'vk5.1791', 'vk5.1793', 'vk5.1826', 'vk5.1828', 'vk5.1832', 'vk5.1835', 'vk5.1839', 'vk5.1842', 'vk5.1854', 'vk5.1857', 'vk5.1858', 'vk5.1861', 'vk5.2047', 'vk5.2049', 'vk5.2082', 'vk5.2083', 'vk5.2085', 'vk5.2086', 'vk5.2088', 'vk5.2089', 'vk5.2161', 'vk5.2163', 'vk5.2166', 'vk5.2192', 'vk5.2195', 'vk5.2214', 'vk5.2216', 'vk5.2234', 'vk5.2240', 'vk5.2242', 'vk5.2245', 'vk5.2247', 'vk5.2249', 'vk5.2251', 'vk5.2254', 'vk5.2260', 'vk5.2261', 'vk5.2293', 'vk5.2295', 'vk5.2296', 'vk5.2297', 'vk5.2299', 'vk5.2300', 'vk5.2322', 'vk5.2339', 'vk5.2340', 'vk5.2342', 'vk5.2354', 'vk5.2356', 'vk5.2360', 'vk5.2378', 'vk5.2379', 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