Home · Sculptures · Films · Machine families · Method · Report · By symmetry · Data · Listen · Play a song on the knots · Browse all (3D) · Download corpus

Machine families

329 Stanggassinger families. Each is one knot type — a family with at least one discovered member; members are reached by different construction parameters and share all computed invariants. Further members exist by construction and are not yet discovered.

Family	c	det	Symmetry	Θ	Members
S_15_d961_D3_chiral	15	961	D3 · chiral	non-trivial	5	members →
S_17_d151_Z2_Z2_chiral	15	151	Z/2 + Z/2 · chiral	non-trivial	2	members →
S_15_d625_D3_chiral	15	625	D3 · chiral	non-trivial	2	members →
S_16_d405_D10_chiral	15	405	D10 · chiral	non-trivial	2	members →
S_15_d507_D3_chiral	15	507	D3 · chiral	non-trivial	2	members →
S_15_d27_Z2_chiral	15	27	Z/2 · chiral	non-trivial	1	members →
S_16_d289_D9_chiral	16	289	D9 · chiral	non-trivial	10	members →
S_16_d49_D6_amphi	16	49	D6 · amphichiral	trivial	3	members →
S_16_d1377_D8_amphi	16	1377	D8 · amphichiral	trivial	3	members →
S_23_d17_Z2_chiral	16	17	Z/2 · chiral	non-trivial	2	members →
S_16_d525_D4_chiral	16	525	D4 · chiral	non-trivial	1	members →
S_16_d1595_Z2_chiral	16	1595	Z/2 · chiral	non-trivial	1	members →
S_25_d423_Z2_chiral	17	423	Z/2 · chiral	non-trivial	2	members →
S_17_d9_Z2_chiral	17	9	Z/2 · chiral	non-trivial	1	members →
S_17_d247_Z2_chiral	17	247	Z/2 · chiral	non-trivial	1	members →
S_17_d247_Z2_chiral_mut	17	247	Z/2 · chiral	non-trivial	1	members →
S_18_d243_D3_chiral	18	243	D3 · chiral	non-trivial	24	members →
S_18_d27_D3_chiral_v14	18	27	D3 · chiral	non-trivial	12	members →
S_18_d1_D3_chiral	18	1	D3 · chiral	non-trivial	6	members →
S_18_d27_D3_chiral_m	18	27	D3 · chiral	non-trivial	3	members →
S_18_d8281_D6_amphi	18	8281	D6 · amphichiral	trivial	3	members →
S_23_d1681_Z2_Z2_chiral	18	1681	Z/2 + Z/2 · chiral	non-trivial	2	members →
S_18_d147_Z3_chiral	18	147	Z/3 · chiral	non-trivial	2	members →
S_18_d27_D3_chiral	18	27	D3 · chiral	non-trivial	1	members →
S_18_d27_D3_chiral_v27	18	27	D3 · chiral	non-trivial	1	members →
S_20_d2523_D5_chiral	20	2523	D5 · chiral	non-trivial	1	members →
S_20_d585_Z2_chiral	20	585	Z/2 · chiral	non-trivial	1	members →
S_21_d1369_Z3_chiral	21	1369	Z/3 · chiral	non-trivial	3	members →
S_21_d169_D7_chiral	21	169	D7 · chiral	non-trivial	2	members →
S_22_d5103_D14_chiral	21	5103	D14 · chiral	non-trivial	2	members →
S_21_d35287_D14_chiral	21	35287	D14 · chiral	non-trivial	1	members →
S_21_d6075_D3_chiral	21	6075	D3 · chiral	non-trivial	1	members →
S_21_d243_D3_chiral_v25	21	243	D3 · chiral	non-trivial	1	members →
S_21_d243_D3_chiral	21	243	D3 · chiral	non-trivial	1	members →
S_21_d483_Z2_chiral	21	483	Z/2 · chiral	—	1	member →
S_21_d1269_Z2_chiral	21	1269	Z/2 · chiral	—	1	member →
S_21_d1425_Z2_Z2_chiral	21	1425	Z/2 + Z/2 · chiral	—	1	member →
S_21_d2241_Z2_chiral	21	2241	Z/2 · chiral	—	1	member →
S_21_d2565_Z2_chiral	21	2565	Z/2 · chiral	—	1	member →
S_21_d119_Z2_chiral	21	119	Z/2 · chiral	—	1	member →
S_21_d131_Z2_chiral	21	131	Z/2 · chiral	—	1	member →
S_21_d143_Z2_chiral	21	143	Z/2 · chiral	—	1	member →
S_21_d147_D6_chiral	21	147	D6 · chiral	—	1	member →
S_23_d9025_D3_chiral	22	9025	D3 · chiral	non-trivial	1	members →
S_22_d1281_Z2_chiral	22	1281	Z/2 · chiral	—	1	member →
S_22_d1445_Z2_chiral	22	1445	Z/2 · chiral	—	1	member →
S_22_d1625_Z2_Z2_chiral	22	1625	Z/2 + Z/2 · chiral	—	1	member →
S_22_d5751_Z2_chiral	22	5751	Z/2 · chiral	—	1	member →
S_22_d1215_Z2_chiral	22	1215	Z/2 · chiral	—	1	member →
S_22_d28655_Z2_chiral	22	28655	Z/2 · chiral	—	1	member →
S_23_d817_Z2_chiral	23	817	Z/2 · chiral	non-trivial	2	members →
S_23_d637_Z2_Z2_chiral	23	637	Z/2 + Z/2 · chiral	—	1	member →
S_23_d1701_Z2_Z2_chiral	23	1701	Z/2 + Z/2 · chiral	—	1	member →
S_23_d1905_Z2_chiral	23	1905	Z/2 · chiral	—	1	member →
S_23_d2125_Z2_Z2_chiral	23	2125	Z/2 + Z/2 · chiral	—	1	member →
S_23_d3483_Z2_chiral	23	3483	Z/2 · chiral	—	1	member →
S_23_d3975_Z2_chiral	23	3975	Z/2 · chiral	—	1	member →
S_23_d8019_Z2_Z2_chiral	23	8019	Z/2 + Z/2 · chiral	—	1	member →
S_23_d12393_Z2_Z2_chiral	23	12393	Z/2 + Z/2 · chiral	—	1	member →
S_23_d151_Z2_chiral	23	151	Z/2 · chiral	—	1	member →
S_23_d159_Z2_chiral	23	159	Z/2 · chiral	—	1	member →
S_23_d167_Z2_chiral	23	167	Z/2 · chiral	—	1	member →
ping-pong	24	81	D6 · amphichiral	trivial	26	members →
S_24_d343_Z3_chiral	24	343	Z/3 · chiral	non-trivial	5	members →
nitro	24	961	D6 · amphichiral	trivial	4	members →
S_24_d2197_Z3_chiral	24	2197	Z/3 · chiral	non-trivial	4	members →
S_24_d49_Z3_chiral	24	49	Z/3 · chiral	non-trivial	4	members →
S_24_d49_Z3_chiral_v22	24	49	Z/3 · chiral	non-trivial	3	members →
S_24_d25721_D8_amphi	24	25721	D8 · amphichiral	trivial	3	members →
S_24_d125_D3_chiral	24	125	D3 · chiral	non-trivial	2	members →
S_24_d1215_D3_chiral	24	1215	D3 · chiral	non-trivial	1	members →
S_24_d175_C1_chiral	24	175	C1 · chiral	non-trivial	1	members →
S_24_d1183_Z3_chiral	24	1183	Z/3 · chiral	non-trivial	1	members →
S_24_d2401_D3_amphi	24	2401	D3 · amphichiral	trivial	1	members →
S_24_d25_Z3_chiral	24	25	Z/3 · chiral	non-trivial	1	members →
S_24_d2175_Z2_chiral	24	2175	Z/2 · chiral	—	1	member →
S_24_d7857_Z2_chiral	24	7857	Z/2 · chiral	—	1	member →
S_24_d9045_Z2_chiral	24	9045	Z/2 · chiral	—	1	member →
S_24_d25_D8_amphi	24	25	D8 · amphichiral	—	1	—
S_24_d27_D4_chiral	24	27	D4 · chiral	—	1	member →
S_25_d34347_Z3_chiral	25	34347	Z/3 · chiral	non-trivial	1	members →
S_25_d2541_Z2_chiral	25	2541	Z/2 · chiral	—	1	member →
S_25_d2825_Z2_chiral	25	2825	Z/2 · chiral	—	1	member →
S_25_d4725_Z2_chiral	25	4725	Z/2 · chiral	—	1	member →
S_25_d5385_Z2_chiral	25	5385	Z/2 · chiral	—	1	member →
S_25_d6125_Z2_chiral	25	6125	Z/2 · chiral	—	1	member →
S_25_d10935_Z2_Z2_chiral	25	10935	Z/2 + Z/2 · chiral	—	1	member →
S_25_d12555_Z2_Z2_chiral	25	12555	Z/2 + Z/2 · chiral	—	1	member →
S_26_d1849_Z2_amphi	26	1849	Z/2 · amphichiral	trivial	4	members →
TT-det15 · T(5,3;2,8)	26	15	Z/2 · chiral	—	1	member →
S_26_d355_Z2_Z2_chiral	26	355	Z/2 + Z/2 · chiral	—	1	member →
S_26_d16767_C1_chiral	26	16767	C1 · chiral	—	1	member →
S_26_d1939_Z2_chiral	26	1939	Z/2 · chiral	—	1	member →
S_26_d2597_Z2_chiral	26	2597	Z/2 · chiral	—	1	member →
S_26_d2905_Z2_chiral	26	2905	Z/2 · chiral	—	1	member →
S_26_d12339_Z2_chiral	26	12339	Z/2 · chiral	—	1	member →
S_26_d14175_Z2_chiral	26	14175	Z/2 · chiral	—	1	member →
S_26_d19683_Z2_chiral	26	19683	Z/2 · chiral	—	1	member →
S_26_d16323_C1_chiral	26	16323	C1 · chiral	—	1	member →
S_28_d1215_D3_chiral	27	1215	D3 · chiral	non-trivial	1	members →
S_27_d3745_Z2_chiral	27	3745	Z/2 · chiral	—	1	member →
S_27_d4125_Z2_Z2_chiral	27	4125	Z/2 + Z/2 · chiral	—	1	member →
S_27_d7287_Z2_chiral	27	7287	Z/2 · chiral	—	1	member →
S_27_d8275_Z2_chiral	27	8275	Z/2 · chiral	—	1	member →
S_27_d9375_Z2_Z2_chiral	27	9375	Z/2 + Z/2 · chiral	—	1	member →
S_27_d17091_Z2_chiral	27	17091	Z/2 · chiral	—	1	member →
S_27_d19575_Z2_Z2_chiral	27	19575	Z/2 + Z/2 · chiral	—	1	member →
S_27_d31185_Z2_chiral	27	31185	Z/2 · chiral	—	1	member →
TT-det17 · T(5,3;2,9)	28	17	Z/2 · chiral	—	1	member →
S_28_d3871_Z2_chiral	28	3871	Z/2 · chiral	—	1	member →
S_28_d16821_Z2_chiral	28	16821	Z/2 · chiral	—	1	member →
S_28_d19305_Z2_chiral	28	19305	Z/2 · chiral	—	1	member →
S_28_d22125_Z2_chiral	28	22125	Z/2 · chiral	—	1	member →
S_28_d26973_Z2_chiral	28	26973	Z/2 · chiral	—	1	member →
S_28_d63001_D14_chiral	28	63001	D14 · chiral	—	1	member →
S_29_d3381_Z2_Z2_chiral	29	3381	Z/2 + Z/2 · chiral	—	1	member →
S_29_d5425_Z2_Z2_chiral	29	5425	Z/2 + Z/2 · chiral	—	1	member →
S_29_d9849_Z2_chiral	29	9849	Z/2 · chiral	—	1	member →
S_29_d11165_Z2_chiral	29	11165	Z/2 · chiral	—	1	member →
S_29_d12625_Z2_chiral	29	12625	Z/2 · chiral	—	1	member →
S_29_d23247_Z2_Z2_chiral	29	23247	Z/2 + Z/2 · chiral	—	1	member →
S_29_d26595_Z2_chiral	29	26595	Z/2 · chiral	—	1	member →
S_29_d30375_Z2_Z2_chiral	29	30375	Z/2 + Z/2 · chiral	—	1	member →
S_29_d42687_Z2_chiral	29	42687	Z/2 · chiral	—	1	member →
S_29_d49275_Z2_chiral	29	49275	Z/2 · chiral	—	1	member →
S_29_d33_Z2_chiral	29	33	Z/2 · chiral	—	1	member →
S_30_d931_Z3_chiral	30	931	Z/3 · chiral	non-trivial	6	members →
S_30_d81_D3_chiral	30	81	D3 · chiral	non-trivial	3	members →
S_30_d13_Z3_chiral	30	13	Z/3 · chiral	non-trivial	3	members →
S_30_d2187_Z3_chiral	30	2187	Z/3 · chiral	non-trivial	1	members →
S_30_d4725_Z3_chiral	30	4725	Z/3 · chiral	non-trivial	1	members →
S_38_d1_Z2_amphi	30	1	Z/2 · amphichiral	trivial	1	members →
TT-det19 · T(5,3;2,10)	30	19	Z/2 · chiral	—	1	member →
TT-det17 · T(7,3;2,8)	30	17	Z/2 · chiral	—	1	member →
S_30_d103041_Z2_amphi	30	103041	Z/2 · amphichiral	—	1	member →
S_30_d30075_Z2_chiral	30	30075	Z/2 · chiral	—	1	member →
S_30_d34375_Z2_chiral	30	34375	Z/2 · chiral	—	1	member →
S_31_d4949_Z2_chiral	31	4949	Z/2 · chiral	—	1	member →
S_31_d26271_Z2_chiral	31	26271	Z/2 · chiral	—	1	member →
S_31_d46875_Z2_Z2_chiral	31	46875	Z/2 + Z/2 · chiral	—	1	member →
S_31_d58401_Z2_chiral	31	58401	Z/2 · chiral	—	1	member →
S_32_d1369_D6_amphi	32	1369	D6 · amphichiral	trivial	3	members →
S_32_d7203_Z3_chiral	32	7203	Z/3 · chiral	non-trivial	2	members →
S_32_d9_D3_chiral	32	9	D3 · chiral	non-trivial	2	members →
S_32_d9_D3_chiral_m	32	9	D3 · chiral	non-trivial	1	members →
S_32_d81_Z3_chiral	32	81	Z/3 · chiral	non-trivial	1	members →
TT-det19 · T(7,3;2,9)	32	19	Z/2 · chiral	—	1	member →
S_32_d5145_Z2_Z2_chiral	32	5145	Z/2 + Z/2 · chiral	—	1	member →
S_32_d15043_Z2_chiral	32	15043	Z/2 · chiral	—	1	member →
S_32_d16975_Z2_chiral	32	16975	Z/2 · chiral	—	1	member →
S_32_d46625_Z2_chiral	32	46625	Z/2 · chiral	—	1	member →
S_32_d53125_Z2_Z2_chiral	32	53125	Z/2 + Z/2 · chiral	—	1	member →
S_32_d41175_Z2_chiral	32	41175	Z/2 · chiral	—	1	member →
S_32_d67365_Z2_chiral	32	67365	Z/2 · chiral	—	1	member →
S_32_d10633_D8_chiral	32	10633	D8 · chiral	—	1	member →
S_33_d24843_Z3_chiral	33	24843	Z/3 · chiral	non-trivial	1	members →
S_33_d6517_Z2_Z2_chiral	33	6517	Z/2 + Z/2 · chiral	—	1	member →
S_33_d7105_Z2_Z2_chiral	33	7105	Z/2 + Z/2 · chiral	—	1	member →
S_33_d20237_Z2_chiral	33	20237	Z/2 · chiral	—	1	member →
S_33_d35721_Z2_chiral	33	35721	Z/2 · chiral	—	1	member →
S_33_d40845_Z2_chiral	33	40845	Z/2 · chiral	—	1	member →
S_33_d36099_Z2_chiral	33	36099	Z/2 · chiral	—	1	member →
S_33_d71875_Z2_Z2_chiral	33	71875	Z/2 + Z/2 · chiral	—	1	member →
S_33_d77625_Z2_chiral	33	77625	Z/2 · chiral	—	1	member →
S_33_d121875_Z2_chiral	33	121875	Z/2 · chiral	—	1	member →
S_33_d363_D6_chiral	33	363	D6 · chiral	—	1	member →
TT-det11 · T(11,3;2,6)	34	11	Z/2 · chiral	—	1	member →
S_34_d9261_Z2_Z2_chiral	34	9261	Z/2 + Z/2 · chiral	—	1	member →
S_34_d22785_Z2_chiral	34	22785	Z/2 · chiral	—	1	member →
S_34_d71875_Z2_chiral	34	71875	Z/2 · chiral	—	1	member →
S_34_d48951_Z2_Z2_chiral	34	48951	Z/2 + Z/2 · chiral	—	1	member →
S_34_d55755_Z2_chiral	34	55755	Z/2 · chiral	—	1	member →
S_34_d63375_Z2_chiral	34	63375	Z/2 · chiral	—	1	member →
S_34_d105975_Z2_chiral	34	105975	Z/2 · chiral	—	1	member →
S_35_d7_D7_chiral	35	7	D7 · chiral	non-trivial	2	members →
S_35_d55419_Z2_chiral	35	55419	Z/2 · chiral	—	1	member →
S_35_d63175_Z2_chiral	35	63175	Z/2 · chiral	—	1	member →
S_35_d75411_Z2_chiral	35	75411	Z/2 · chiral	—	1	member →
S_35_d96875_Z2_chiral	35	96875	Z/2 · chiral	—	1	member →
S_35_d11163_Z3_chiral	35	11163	Z/3 · chiral	—	1	member →
S_35_d12005_D10_chiral	35	12005	D10 · chiral	—	1	member →
S_35_d4205_D5_chiral	35	4205	D5 · chiral	—	1	member →
TT-det13 · T(11,3;2,7)	36	13	Z/2 · chiral	—	1	member →
S_36_d30527_Z2_chiral	36	30527	Z/2 · chiral	—	1	member →
S_36_d85505_Z2_chiral	36	85505	Z/2 · chiral	—	1	member →
S_36_d85575_Z2_chiral	36	85575	Z/2 · chiral	—	1	member →
S_36_d125685_Z2_chiral	36	125685	Z/2 · chiral	—	1	member →
S_36_d144585_Z2_chiral	36	144585	Z/2 · chiral	—	1	member →
S_36_d166125_Z2_chiral	36	166125	Z/2 · chiral	—	1	member →
S_36_d190625_Z2_chiral	36	190625	Z/2 · chiral	—	1	member →
S_36_d26793_C1_chiral	36	26793	0 · chiral	—	1	member →
S_37_d7_D7_chiral	37	7	D7 · chiral	non-trivial	3	members →
S_37_d40817_Z2_Z2_chiral	37	40817	Z/2 + Z/2 · chiral	—	1	member →
S_37_d75117_Z2_chiral	37	75117	Z/2 · chiral	—	1	member →
S_37_d97125_Z2_chiral	37	97125	Z/2 · chiral	—	1	member →
S_37_d101871_Z2_Z2_chiral	37	101871	Z/2 + Z/2 · chiral	—	1	member →
S_37_d146875_Z2_Z2_chiral	37	146875	Z/2 + Z/2 · chiral	—	1	member →
S_37_d226275_Z2_chiral	37	226275	Z/2 · chiral	—	1	member →
S_37_d259375_Z2_chiral	37	259375	Z/2 · chiral	—	1	member →
S_38_d2601_D4_chiral	38	2601	D4 · chiral	non-trivial	1	members →
TT-det15 · T(11,3;2,8)	38	15	Z/2 · chiral	—	1	member →
TT-det13 · T(13,3;2,6)	38	13	Z/2 · chiral	—	1	member →
TT-det11 · T(7,5;2,5)	38	11	Z/2 · chiral	—	1	member →
S_38_d115395_Z2_chiral	38	115395	Z/2 · chiral	—	1	member →
S_38_d130375_Z2_chiral	38	130375	Z/2 · chiral	—	1	member →
S_38_d296875_Z2_Z2_chiral	38	296875	Z/2 + Z/2 · chiral	—	1	member →
S_38_d118803_D5_chiral	38	118803	D5 · chiral	—	1	member →
S_39_d115591_Z2_chiral	39	115591	Z/2 · chiral	—	1	member →
S_39_d196875_Z2_Z2_chiral	39	196875	Z/2 + Z/2 · chiral	—	1	member →
S_39_d197127_Z2_chiral	39	197127	Z/2 · chiral	—	1	member →
S_39_d268569_Z2_chiral	39	268569	Z/2 · chiral	—	1	member →
S_39_d403125_Z2_chiral	39	403125	Z/2 · chiral	—	1	member →
TT-det17 · T(11,3;2,9)	40	17	Z/2 · chiral	—	1	member →
TT-det15 · T(13,3;2,7)	40	15	Z/2 · chiral	—	1	member →
TT-det13 · T(7,5;2,6)	40	13	Z/2 · chiral	—	1	member →
S_40_d131075_Z2_chiral	40	131075	Z/2 · chiral	—	1	member →
S_40_d155379_Z2_chiral	40	155379	Z/2 · chiral	—	1	member →
S_40_d352625_Z2_chiral	40	352625	Z/2 · chiral	—	1	member →
S_41_d156065_Z2_chiral	41	156065	Z/2 · chiral	—	1	member →
S_41_d176645_Z2_chiral	41	176645	Z/2 · chiral	—	1	member →
S_41_d175175_Z2_chiral	41	175175	Z/2 · chiral	—	1	member →
S_41_d418803_Z2_chiral	41	418803	Z/2 · chiral	—	1	member →
TT-det19 · T(11,3;2,10)	42	19	Z/2 · chiral	—	1	member →
TT-det17 · T(13,3;2,8)	42	17	Z/2 · chiral	—	1	member →
TT-det15 · T(7,5;2,7)	42	15	Z/2 · chiral	—	1	member →
S_42_d237699_Z2_chiral	42	237699	Z/2 · chiral	—	1	member →
S_42_d208887_Z2_Z2_chiral	42	208887	Z/2 + Z/2 · chiral	—	1	member →
S_42_d234955_Z2_chiral	42	234955	Z/2 · chiral	—	1	member →
S_42_d263375_Z2_Z2_chiral	42	263375	Z/2 + Z/2 · chiral	—	1	member →
S_42_d478975_Z2_chiral	42	478975	Z/2 · chiral	—	1	member →
S_43_d351575_Z2_Z2_chiral	43	351575	Z/2 + Z/2 · chiral	—	1	member →
S_43_d649985_Z2_chiral	43	649985	Z/2 · chiral	—	1	member →
S_43_d546875_Z2_chiral	43	546875	Z/2 · chiral	—	1	member →
S_43_d741125_Z2_chiral	43	741125	Z/2 · chiral	—	1	member →
TT-det19 · T(13,3;2,9)	44	19	Z/2 · chiral	—	1	member →
TT-det17 · T(7,5;2,8)	44	17	Z/2 · chiral	—	1	member →
S_44_d4326335_C1_chiral	44	4326335	C1 · chiral	—	1	member →
S_44_d314531_Z2_chiral	44	314531	Z/2 · chiral	—	1	member →
S_44_d569037_Z2_chiral	44	569037	Z/2 · chiral	—	1	member →
S_45_d49_D9_chiral	45	49	D9 · chiral	non-trivial	1	members →
S_45_d1805_Z3_chiral	45	1805	Z/3 · chiral	non-trivial	1	members →
S_45_d468195_Z2_Z2_chiral	45	468195	Z/2 + Z/2 · chiral	—	1	member →
TT-det19 · T(7,5;2,9)	46	19	Z/2 · chiral	—	1	member →
S_46_d881167_Z2_chiral	46	881167	Z/2 · chiral	—	1	member →
S_46_d1003275_Z2_chiral	46	1003275	Z/2 · chiral	—	1	member →
S_46_d71744535_D30_chiral	46	71744535	D30 · chiral	—	1	member →
S_47_d319333_Z2_Z2_chiral	47	319333	Z/2 + Z/2 · chiral	—	1	member →
S_47_d1193297_Z2_chiral	47	1193297	Z/2 · chiral	—	1	member →
TT-det11 · T(9,5;2,6)	48	11	Z/2 · chiral	—	1	member →
S_48_d420175_Z2_Z2_chiral	48	420175	Z/2 + Z/2 · chiral	—	1	member →
S_48_d621859_Z2_Z2_chiral	48	621859	Z/2 + Z/2 · chiral	—	1	member →
S_48_d1356565_Z2_chiral	48	1356565	Z/2 · chiral	—	1	member →
S_50_d1734605_Z5_chiral	50	1734605	Z/5 · chiral	non-trivial	1	members →
TT-det13 · T(9,5;2,7)	50	13	Z/2 · chiral	—	1	member →
S_50_d1831963_Z2_chiral	50	1831963	Z/2 · chiral	—	1	member →
S_50_d127449_D9_chiral	50	127449	D9 · chiral	—	1	member →
S_51_d2470629_Z2_Z2_chiral	51	2470629	Z/2 + Z/2 · chiral	—	1	member →
TT-det15 · T(9,5;2,8)	52	15	Z/2 · chiral	—	1	member →
S_52_d731794257_D34_chiral	52	731794257	D34 · chiral	—	1	member →
TT-det11 · T(11,5;2,5)	54	11	Z/2 · chiral	—	1	member →
TT-det17 · T(9,5;2,9)	54	17	Z/2 · chiral	—	1	member →
S_55_d2618266561_D13_chiral	55	2618266561	D13 · chiral	—	1	member →
TT-det19 · T(9,5;2,10)	56	19	Z/2 · chiral	—	1	member →
TT-det13 · T(11,5;2,6)	58	13	Z/2 · chiral	—	1	member →
TT-det15 · T(11,5;2,7)	60	15	Z/2 · chiral	—	1	member →
TT-det17 · T(11,5;2,8)	60	17	Z/2 · chiral	—	1	member →
S_60_d3868139_D11_chiral	60	3868139	D11 · chiral	—	1	member →
S_60_d1116178175_C1_chiral	60	1116178175	C1 · chiral	—	1	member →
S_60_d1069530115_C1_chiral	60	1069530115	C1 · chiral	—	1	member →
TT-det19 · T(11,5;2,9)	63	19	Z/2 · chiral	—	1	member →
TT-det11 · T(13,5;2,6)	64	11	Z/2 · chiral	—	1	member →
S_64_d6858655489_Z2_amphi	64	6858655489	Z/2 · amphichiral	—	1	member →
TT-det13 · T(13,5;2,7)	66	13	Z/2 · chiral	—	1	member →
TT-det11 · T(9,7;2,6)	67	11	Z/2 · chiral	—	1	member →
TT-det13 · T(9,7;2,7)	68	13	Z/2 · chiral	—	1	member →
TT-det15 · T(13,5;2,8)	69	15	Z/2 · chiral	—	1	member →
TT-det17 · T(13,5;2,9)	70	17	Z/2 · chiral	—	1	member →
TT-det15 · T(9,7;2,8)	70	15	Z/2 · chiral	—	1	member →
S_70_d22003813_D13_chiral	70	22003813	D13 · chiral	—	1	member →
S_71_d2072531657641_D17_chiral	71	2072531657641	D17 · chiral	—	1	member →
TT-det19 · T(13,5;2,10)	72	19	Z/2 · chiral	—	1	member →
TT-det17 · T(9,7;2,9)	72	17	Z/2 · chiral	—	1	member →
S_73_d62710561_D11_chiral	73	62710561	D11 · chiral	—	1	member →
TT-det19 · T(9,7;2,10)	74	19	Z/2 · chiral	—	1	member →
TT-det11 · T(11,7;2,6)	78	11	Z/2 · chiral	—	1	member →
S_79_d58283345728609_D19_chiral	79	58283345728609	D19 · chiral	—	1	member →
TT-det13 · T(11,7;2,7)	80	13	Z/2 · chiral	—	1	member →
S_80_d265335_D15_chiral	80	265335	D15 · chiral	—	1	member →
S_81_d387432798481_D13_chiral	81	387432798481	D13 · chiral	—	1	member →
TT-det15 · T(11,7;2,8)	84	15	Z/2 · chiral	—	1	member →
TT-det17 · T(11,7;2,9)	84	17	Z/2 · chiral	—	1	member →
S_85_d122655625_D13_chiral	85	122655625	D13 · chiral	—	1	member →
TT-det19 · T(11,7;2,10)	86	19	Z/2 · chiral	—	1	member →
S_90_d2547315377_D17_chiral	90	2547315377	D17 · chiral	—	1	member →
TT-det13 · T(13,7;2,7)	92	13	Z/2 · chiral	—	1	member →
TT-det11 · T(13,7;2,6)	93	11	Z/2 · chiral	—	1	member →
TT-det15 · T(13,7;2,8)	94	15	Z/2 · chiral	—	1	member →
S_95_d46086426000765049_D23_chiral	95	46086426000765049	D23 · chiral	—	1	member →
S_96_d456525826596225_Z2_amphi	96	456525826596225	Z/2 · amphichiral	—	1	member →
TT-det11 · T(11,9;2,5)	98	11	Z/2 · chiral	—	1	member →
TT-det19 · T(13,7;2,10)	98	19	Z/2 · chiral	—	1	member →
S_99_d1015662973_D13_chiral	99	1015662973	D13 · chiral	—	1	member →
TT-det13 · T(11,9;2,6)	100	13	Z/2 · chiral	—	1	member →
TT-det17 · T(13,7;2,9)	100	17	Z/2 · chiral	—	1	member →
TT-det17 · T(13,8;2,5)	101	17	Z/2 · chiral	—	1	member →
TT-det15 · T(11,9;2,7)	102	15	Z/2 · chiral	—	1	member →
TT-det11 · T(13,8;2,4)	102	11	Z/2 · chiral	—	1	member →
S_103_d43352039491_D19_chiral	103	43352039491	D19 · chiral	—	1	member →
TT-det17 · T(11,9;2,8)	104	17	Z/2 · chiral	—	1	member →
TT-det19 · T(11,9;2,9)	106	19	Z/2 · chiral	—	1	member →
S_111_d66053626081_D13_chiral	111	66053626081	D13 · chiral	—	1	member →
S_113_d177206002215_D15_chiral	113	177206002215	D15 · chiral	—	1	member →
TT-det11 · T(13,9;2,5)	114	11	Z/2 · chiral	—	1	member →
TT-det15 · T(13,9;2,7)	118	15	Z/2 · chiral	—	1	member →
TT-det13 · T(13,9;2,6)	120	13	Z/2 · chiral	—	1	member →
TT-det17 · T(13,9;2,8)	120	17	Z/2 · chiral	—	1	member →
S_120_d259927099727_D23_chiral	120	259927099727	D23 · chiral	—	1	member →
S_121_d13966267699609_D19_chiral	121	13966267699609	D19 · chiral	—	1	member →
TT-det19 · T(13,9;2,9)	122	19	Z/2 · chiral	—	1	member →
TT-det17 · T(13,10;2,3)	124	17	Z/2 · chiral	—	1	member →
S_128_d30387272063039313409_Z2_amphi	128	30387272063039313409	Z2 · amphichiral	—	1	member →
S_130_d33253617894025_D25_chiral	130	33253617894025	D25 · chiral	—	1	member →
S_133_d94667597761_D21_chiral	133	94667597761	D21 · chiral	—	1	member →
TT-det11 · T(13,11;2,6)	143	11	Z/2 · chiral	—	1	member →
TT-det13 · T(13,11;2,7)	144	13	Z/2 · chiral	—	1	member →
TT-det15 · T(13,11;2,8)	146	15	Z/2 · chiral	—	1	member →
TT-det17 · T(13,11;2,9)	149	17	Z/2 · chiral	—	1	member →
TT-det19 · T(13,11;2,10)	151	19	Z/2 · chiral	—	1	member →
S_262_d1425183958529967_Z3_chiral	262	1425183958529967	Z/3 · chiral	—	1	member →

+ 2 further novel families (one discovered member each) — invariants and canonical S-identity still being computed.

Knot data CC BY-NC 4.0 · W.A.Stanggassinger in collaboration with Claude Code (Anthropic).