6,675,982 rows · 100 per page · Row type: OrientedKnotRow

id RowRef<OrientedKnotRow> knot id KnotId = string name string dt name string option crossing number int option alternating bool kind string component count int pd code PDCode = int list list pd source string source record string amphichiral bool option reversible bool option symmetry type string option possible duplicates KnotId list
10_15510_15510_15510n_3910falseprime1[[1, 11, 2, 10], [3, 13, 4, 12], [5, 14, 6, 15], [6, 19, 7, 20], [9, 16, 10, 17], [11, 3, 12, 2], [13, 19, 14, 18], [15, 8, 16, 9], [17, 4, 18, 5], [20, 7, 1, 8]]spreadsheetsample_dat!row=242falsetruereversible[]
m10_155m10_155m10_155m10n_3910falseprime1[[1, 10, 2, 11], [3, 12, 4, 13], [5, 15, 6, 14], [6, 20, 7, 19], [9, 17, 10, 16], [11, 2, 12, 3], [13, 18, 14, 19], [15, 9, 16, 8], [17, 5, 18, 4], [20, 8, 1, 7]]derived_mirror10_155falsetruereversible[]
10_15610_15610_15610n_3210falseprime1[[1, 13, 2, 12], [3, 8, 4, 9], [5, 14, 6, 15], [7, 18, 8, 19], [10, 15, 11, 16], [11, 1, 12, 20], [13, 6, 14, 7], [16, 9, 17, 10], [17, 4, 18, 5], [19, 3, 20, 2]]spreadsheetsample_dat!row=243falsetruereversible[]
m10_156m10_156m10_156m10n_3210falseprime1[[1, 12, 2, 13], [3, 9, 4, 8], [5, 15, 6, 14], [7, 19, 8, 18], [10, 16, 11, 15], [11, 20, 12, 1], [13, 7, 14, 6], [16, 10, 17, 9], [17, 5, 18, 4], [19, 2, 20, 3]]derived_mirror10_156falsetruereversible[]
10_15710_15710_15710n_4210falseprime1[[2, 8, 3, 7], [3, 10, 4, 11], [5, 18, 6, 19], [8, 15, 9, 16], [11, 4, 12, 5], [14, 1, 15, 2], [16, 9, 17, 10], [17, 13, 18, 12], [19, 6, 20, 7], [20, 13, 1, 14]]spreadsheetsample_dat!row=244falsetruereversible[]
m10_157m10_157m10_157m10n_4210falseprime1[[2, 7, 3, 8], [3, 11, 4, 10], [5, 19, 6, 18], [8, 16, 9, 15], [11, 5, 12, 4], [14, 2, 15, 1], [16, 10, 17, 9], [17, 12, 18, 13], [19, 7, 20, 6], [20, 14, 1, 13]]derived_mirror10_157falsetruereversible[]
10_15810_15810_15810n_4110falseprime1[[3, 9, 4, 8], [4, 11, 5, 12], [6, 20, 7, 19], [9, 17, 10, 16], [12, 5, 13, 6], [14, 1, 15, 2], [15, 11, 16, 10], [17, 3, 18, 2], [18, 8, 19, 7], [20, 13, 1, 14]]spreadsheetsample_dat!row=245falsetruereversible[]
m10_158m10_158m10_158m10n_4110falseprime1[[3, 8, 4, 9], [4, 12, 5, 11], [6, 19, 7, 20], [9, 16, 10, 17], [12, 6, 13, 5], [14, 2, 15, 1], [15, 10, 16, 11], [17, 2, 18, 3], [18, 7, 19, 8], [20, 14, 1, 13]]derived_mirror10_158falsetruereversible[]
10_15910_15910_15910n_3410falseprime1[[2, 10, 3, 9], [4, 11, 5, 12], [5, 19, 6, 18], [7, 1, 8, 20], [8, 14, 9, 13], [10, 15, 11, 16], [12, 18, 13, 17], [14, 1, 15, 2], [16, 4, 17, 3], [19, 7, 20, 6]]spreadsheetsample_dat!row=246falsetruereversible[]
m10_159m10_159m10_159m10n_3410falseprime1[[2, 9, 3, 10], [4, 12, 5, 11], [5, 18, 6, 19], [7, 20, 8, 1], [8, 13, 9, 14], [10, 16, 11, 15], [12, 17, 13, 18], [14, 2, 15, 1], [16, 3, 17, 4], [19, 6, 20, 7]]derived_mirror10_159falsetruereversible[]
10_16010_16010_16010n_3310falseprime1[[1, 13, 2, 12], [4, 18, 5, 17], [6, 14, 7, 13], [8, 4, 9, 3], [10, 15, 11, 16], [11, 1, 12, 20], [14, 6, 15, 5], [16, 9, 17, 10], [18, 8, 19, 7], [19, 3, 20, 2]]spreadsheetsample_dat!row=247falsetruereversible[]
m10_160m10_160m10_160m10n_3310falseprime1[[1, 12, 2, 13], [4, 17, 5, 18], [6, 13, 7, 14], [8, 3, 9, 4], [10, 16, 11, 15], [11, 20, 12, 1], [14, 5, 15, 6], [16, 10, 17, 9], [18, 7, 19, 8], [19, 2, 20, 3]]derived_mirror10_160falsetruereversible[]
10_16110_16110_16110n_3110falseprime1[[1, 13, 2, 12], [4, 18, 5, 17], [6, 14, 7, 13], [8, 4, 9, 3], [9, 17, 10, 16], [11, 1, 12, 20], [14, 6, 15, 5], [15, 11, 16, 10], [18, 8, 19, 7], [19, 3, 20, 2]]spreadsheetsample_dat!row=248falsetruereversible[]
m10_161m10_161m10_161m10n_3110falseprime1[[1, 12, 2, 13], [4, 17, 5, 18], [6, 13, 7, 14], [8, 3, 9, 4], [9, 16, 10, 17], [11, 20, 12, 1], [14, 5, 15, 6], [15, 10, 16, 11], [18, 7, 19, 8], [19, 2, 20, 3]]derived_mirror10_161falsetruereversible[]
10_16210_16210_16210n_4010falseprime1[[2, 9, 3, 10], [5, 12, 6, 13], [6, 18, 7, 17], [8, 16, 9, 15], [10, 19, 11, 20], [11, 4, 12, 5], [14, 1, 15, 2], [16, 8, 17, 7], [18, 4, 19, 3], [20, 13, 1, 14]]spreadsheetsample_dat!row=249falsetruereversible[]
m10_162m10_162m10_162m10n_4010falseprime1[[2, 10, 3, 9], [5, 13, 6, 12], [6, 17, 7, 18], [8, 15, 9, 16], [10, 20, 11, 19], [11, 5, 12, 4], [14, 2, 15, 1], [16, 7, 17, 8], [18, 3, 19, 4], [20, 14, 1, 13]]derived_mirror10_162falsetruereversible[]
10_16310_16310_16310n_3510falseprime1[[1, 8, 2, 9], [3, 11, 4, 10], [6, 14, 7, 13], [9, 17, 10, 16], [11, 18, 12, 19], [12, 8, 13, 7], [14, 6, 15, 5], [15, 1, 16, 20], [17, 2, 18, 3], [19, 5, 20, 4]]spreadsheetsample_dat!row=250falsetruereversible[]
m10_163m10_163m10_163m10n_3510falseprime1[[1, 9, 2, 8], [3, 10, 4, 11], [6, 13, 7, 14], [9, 16, 10, 17], [11, 19, 12, 18], [12, 7, 13, 8], [14, 5, 15, 6], [15, 20, 16, 1], [17, 3, 18, 2], [19, 4, 20, 5]]derived_mirror10_163falsetruereversible[]
10_16410_16410_16410n_3810falseprime1[[2, 12, 3, 11], [3, 16, 4, 17], [6, 14, 7, 13], [8, 15, 9, 16], [9, 5, 10, 4], [12, 2, 13, 1], [14, 19, 15, 20], [17, 10, 18, 11], [18, 5, 19, 6], [20, 8, 1, 7]]spreadsheetsample_dat!row=251falsetruereversible[]
m10_164m10_164m10_164m10n_3810falseprime1[[2, 11, 3, 12], [3, 17, 4, 16], [6, 13, 7, 14], [8, 16, 9, 15], [9, 4, 10, 5], [12, 1, 13, 2], [14, 20, 15, 19], [17, 11, 18, 10], [18, 6, 19, 5], [20, 7, 1, 8]]derived_mirror10_164falsetruereversible[]
10_16510_16510_16510n_3710falseprime1[[1, 8, 2, 9], [3, 12, 4, 13], [4, 17, 5, 18], [7, 2, 8, 3], [9, 14, 10, 15], [11, 17, 12, 16], [13, 6, 14, 7], [15, 20, 16, 1], [18, 5, 19, 6], [19, 11, 20, 10]]spreadsheetsample_dat!row=252falsetruereversible[]
m10_165m10_165m10_165m10n_3710falseprime1[[1, 9, 2, 8], [3, 13, 4, 12], [4, 18, 5, 17], [7, 3, 8, 2], [9, 15, 10, 14], [11, 16, 12, 17], [13, 7, 14, 6], [15, 1, 16, 20], [18, 6, 19, 5], [19, 10, 20, 11]]derived_mirror10_165falsetruereversible[]
3_1 # 3_1 # 5_13_1 # 3_1 # 5_13_1 # 3_1 # 5_1None11truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 20, 15, 19], [16, 22, 17, 21], [18, 14, 19, 13], [20, 16, 21, 15], [22, 18, 13, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m5_13_1 # 3_1 # m5_13_1 # 3_1 # m5_1None11truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 19, 15, 20], [16, 21, 17, 22], [18, 13, 19, 14], [20, 15, 21, 16], [22, 17, 13, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # 5_23_1 # 3_1 # 5_23_1 # 3_1 # 5_2None11truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 17, 14, 16], [15, 21, 16, 20], [17, 13, 18, 22], [19, 15, 20, 14], [21, 19, 22, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 3_1 # m5_23_1 # 3_1 # m5_23_1 # 3_1 # m5_2None11truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 11, 8, 10], [9, 7, 10, 12], [11, 9, 12, 8], [7, 16, 14, 17], [15, 20, 16, 21], [17, 22, 18, 13], [19, 14, 20, 15], [21, 18, 22, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 5_13_1 # m3_1 # 5_13_1 # m3_1 # 5_1None11truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 15, 19], [16, 22, 17, 21], [18, 14, 19, 13], [20, 16, 21, 15], [22, 18, 13, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m5_13_1 # m3_1 # m5_13_1 # m3_1 # m5_1None11truecomposite1[[14, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 15, 20], [16, 21, 17, 22], [18, 13, 19, 14], [20, 15, 21, 16], [22, 17, 13, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # 5_23_1 # m3_1 # 5_23_1 # m3_1 # 5_2None11truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 17, 14, 16], [15, 21, 16, 20], [17, 13, 18, 22], [19, 15, 20, 14], [21, 19, 22, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m3_1 # m5_23_1 # m3_1 # m5_23_1 # m3_1 # m5_2None11truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 20, 16, 21], [17, 22, 18, 13], [19, 14, 20, 15], [21, 18, 22, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 4_1 # 4_13_1 # 4_1 # 4_13_1 # 4_1 # 4_1None11truecomposite1[[18, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 16, 19, 15], [22, 20, 15, 19], [20, 17, 21, 18], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 8_13_1 # 8_13_1 # 8_1None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 8, 14], [9, 13, 10, 12], [11, 18, 12, 19], [13, 9, 14, 8], [15, 7, 16, 22], [17, 21, 18, 20], [19, 10, 20, 11], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_13_1 # m8_13_1 # m8_1None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 8, 15], [9, 12, 10, 13], [11, 19, 12, 18], [13, 8, 14, 9], [15, 22, 16, 7], [17, 20, 18, 21], [19, 11, 20, 10], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_23_1 # 8_23_1 # 8_2None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 8, 17], [9, 19, 10, 18], [11, 21, 12, 20], [13, 7, 14, 22], [15, 8, 16, 9], [17, 15, 18, 14], [19, 11, 20, 10], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_23_1 # m8_23_1 # m8_2None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 8, 16], [9, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 7], [15, 9, 16, 8], [17, 14, 18, 15], [19, 10, 20, 11], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_33_1 # 8_33_1 # 8_3None11truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 16, 21, 15], [16, 11, 17, 12], [18, 9, 19, 10], [10, 17, 11, 18], [8, 19, 9, 20], [22, 14, 7, 13], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 8_43_1 # 8_43_1 # 8_4None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 9, 18], [10, 15, 11, 16], [12, 22, 13, 21], [14, 20, 15, 19], [16, 7, 17, 8], [18, 9, 19, 10], [20, 14, 21, 13], [22, 12, 7, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_43_1 # m8_43_1 # m8_4None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 9, 17], [10, 16, 11, 15], [12, 21, 13, 22], [14, 19, 15, 20], [16, 8, 17, 7], [18, 10, 19, 9], [20, 13, 21, 14], [22, 11, 7, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_53_1 # 8_53_1 # 8_5None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [9, 15, 10, 14], [11, 18, 12, 19], [13, 9, 14, 8], [15, 21, 16, 20], [17, 7, 18, 22], [19, 10, 20, 11], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_53_1 # m8_53_1 # m8_5None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [9, 14, 10, 15], [11, 19, 12, 18], [13, 8, 14, 9], [15, 20, 16, 21], [17, 22, 18, 7], [19, 11, 20, 10], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_63_1 # 8_63_1 # 8_6None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 20, 11, 19], [12, 22, 13, 21], [14, 18, 15, 17], [16, 7, 17, 8], [18, 14, 19, 13], [20, 12, 21, 11], [22, 10, 7, 9]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_63_1 # m8_63_1 # m8_6None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 19, 11, 20], [12, 21, 13, 22], [14, 17, 15, 18], [16, 8, 17, 7], [18, 13, 19, 14], [20, 11, 21, 12], [22, 9, 7, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_73_1 # 8_73_1 # 8_7None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 9, 16], [10, 20, 11, 19], [12, 21, 13, 22], [14, 7, 15, 8], [16, 11, 17, 12], [18, 10, 19, 9], [20, 18, 21, 17], [22, 13, 7, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_73_1 # m8_73_1 # m8_7None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 9, 15], [10, 19, 11, 20], [12, 22, 13, 21], [14, 8, 15, 7], [16, 12, 17, 11], [18, 9, 19, 10], [20, 17, 21, 18], [22, 14, 7, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_83_1 # 8_83_1 # 8_8None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [9, 18, 10, 19], [11, 15, 12, 14], [13, 9, 14, 8], [15, 22, 16, 7], [17, 20, 18, 21], [19, 10, 20, 11], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_83_1 # m8_83_1 # m8_8None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [9, 19, 10, 18], [11, 14, 12, 15], [13, 8, 14, 9], [15, 7, 16, 22], [17, 21, 18, 20], [19, 11, 20, 10], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_93_1 # 8_93_1 # 8_9None11truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [16, 9, 17, 10], [8, 19, 9, 20], [18, 11, 19, 12], [10, 17, 11, 18], [22, 16, 7, 15], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 8_103_1 # 8_103_1 # 8_10None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 20, 9, 19], [10, 15, 11, 16], [12, 17, 13, 18], [14, 21, 15, 22], [16, 11, 17, 12], [18, 8, 19, 7], [20, 13, 21, 14], [22, 10, 7, 9]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_103_1 # m8_103_1 # m8_10None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 9, 20], [10, 16, 11, 15], [12, 18, 13, 17], [14, 22, 15, 21], [16, 12, 17, 11], [18, 7, 19, 8], [20, 14, 21, 13], [22, 9, 7, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_113_1 # 8_113_1 # 8_11None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 16, 8, 17], [9, 19, 10, 18], [11, 21, 12, 20], [13, 7, 14, 22], [15, 8, 16, 9], [17, 15, 18, 14], [19, 13, 20, 12], [21, 11, 22, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_113_1 # m8_113_1 # m8_11None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 8, 16], [9, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 7], [15, 9, 16, 8], [17, 14, 18, 15], [19, 12, 20, 13], [21, 10, 22, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_123_1 # 8_123_1 # 8_12None11truecomposite1[[10, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [22, 17, 7, 18], [18, 21, 19, 22], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 8_133_1 # 8_133_1 # 8_13None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 15, 8, 14], [9, 20, 10, 21], [11, 18, 12, 19], [13, 17, 14, 16], [15, 9, 16, 8], [17, 22, 18, 7], [19, 10, 20, 11], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_133_1 # m8_133_1 # m8_13None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 8, 15], [9, 21, 10, 20], [11, 19, 12, 18], [13, 16, 14, 17], [15, 8, 16, 9], [17, 7, 18, 22], [19, 11, 20, 10], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_143_1 # 8_143_1 # 8_14None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 18, 9, 17], [10, 14, 11, 13], [12, 21, 13, 22], [14, 20, 15, 19], [16, 8, 17, 7], [18, 16, 19, 15], [20, 10, 21, 9], [22, 11, 7, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_143_1 # m8_143_1 # m8_14None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 17, 9, 18], [10, 13, 11, 14], [12, 22, 13, 21], [14, 19, 15, 20], [16, 7, 17, 8], [18, 15, 19, 16], [20, 9, 21, 10], [22, 12, 7, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_153_1 # 8_153_1 # 8_15None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [9, 21, 10, 20], [11, 15, 12, 14], [13, 9, 14, 8], [15, 19, 16, 18], [17, 7, 18, 22], [19, 11, 20, 10], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_153_1 # m8_153_1 # m8_15None11truecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [9, 20, 10, 21], [11, 14, 12, 15], [13, 8, 14, 9], [15, 18, 16, 19], [17, 22, 18, 7], [19, 10, 20, 11], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_15","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_163_1 # 8_163_1 # 8_16None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 9, 14], [10, 16, 11, 15], [12, 7, 13, 8], [14, 20, 15, 19], [16, 21, 17, 22], [18, 12, 19, 11], [20, 9, 21, 10], [22, 17, 7, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_163_1 # m8_163_1 # m8_16None11truecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 14, 9, 13], [10, 15, 11, 16], [12, 8, 13, 7], [14, 19, 15, 20], [16, 22, 17, 21], [18, 11, 19, 12], [20, 10, 21, 9], [22, 18, 7, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_16","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_173_1 # 8_173_1 # 8_17None11truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [20, 14, 21, 13], [14, 9, 15, 10], [8, 19, 9, 20], [18, 11, 19, 12], [10, 15, 11, 16], [22, 18, 7, 17], [16, 22, 17, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":false}]falsefalsechiral[]
3_1 # r8_173_1 # r8_173_1 # r8_17None11truecomposite1[[13, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 7, 12, 8], [21, 13, 20, 14], [15, 10, 14, 9], [9, 20, 8, 19], [19, 12, 18, 11], [11, 16, 10, 15], [7, 17, 22, 18], [17, 21, 16, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_17","mirror":false,"reverse":true}]falsefalsechiral[]
3_1 # 8_183_1 # 8_183_1 # 8_18None11truecomposite1[[12, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 8, 13, 7], [14, 9, 15, 10], [22, 17, 7, 18], [8, 20, 9, 19], [10, 21, 11, 22], [16, 12, 17, 11], [18, 13, 19, 14], [20, 16, 21, 15]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_18","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # 8_193_1 # 8_193_1 # 8_19NoneNonefalsecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 20, 9, 19], [11, 17, 12, 16], [13, 21, 14, 20], [15, 11, 16, 10], [17, 13, 18, 12], [18, 8, 19, 7], [21, 15, 22, 14], [22, 10, 7, 9]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_193_1 # m8_193_1 # m8_19NoneNonefalsecomposite1[[8, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 19, 9, 20], [11, 16, 12, 17], [13, 20, 14, 21], [15, 10, 16, 11], [17, 12, 18, 13], [18, 7, 19, 8], [21, 14, 22, 15], [22, 9, 7, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_19","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_203_1 # 8_203_1 # 8_20NoneNonefalsecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [10, 19, 11, 20], [11, 15, 12, 14], [13, 9, 14, 8], [16, 21, 17, 22], [18, 15, 19, 16], [20, 9, 21, 10], [22, 17, 7, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_203_1 # m8_203_1 # m8_20NoneNonefalsecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [10, 20, 11, 19], [11, 14, 12, 15], [13, 8, 14, 9], [16, 22, 17, 21], [18, 16, 19, 15], [20, 10, 21, 9], [22, 18, 7, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_20","mirror":true,"reverse":false}]falsetruereversible[]
3_1 # 8_213_1 # 8_213_1 # 8_21NoneNonefalsecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 13, 8, 12], [10, 19, 11, 20], [11, 15, 12, 14], [13, 9, 14, 8], [15, 19, 16, 18], [17, 7, 18, 22], [20, 9, 21, 10], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":false,"reverse":false}]falsetruereversible[]
3_1 # m8_213_1 # m8_213_1 # m8_21NoneNonefalsecomposite1[[7, 5, 2, 4], [3, 1, 4, 6], [5, 3, 6, 2], [1, 12, 8, 13], [10, 20, 11, 19], [11, 14, 12, 15], [13, 8, 14, 9], [15, 18, 16, 19], [17, 22, 18, 7], [20, 10, 21, 9], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":false,"reverse":false},{"knot_id":"8_21","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 5_1m3_1 # m3_1 # 5_1m3_1 # m3_1 # 5_1None11truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 20, 15, 19], [16, 22, 17, 21], [18, 14, 19, 13], [20, 16, 21, 15], [22, 18, 13, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m5_1m3_1 # m3_1 # m5_1m3_1 # m3_1 # m5_1None11truecomposite1[[14, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 19, 15, 20], [16, 21, 17, 22], [18, 13, 19, 14], [20, 15, 21, 16], [22, 17, 13, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # 5_2m3_1 # m3_1 # 5_2m3_1 # m3_1 # 5_2None11truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 17, 14, 16], [15, 21, 16, 20], [17, 13, 18, 22], [19, 15, 20, 14], [21, 19, 22, 18]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m3_1 # m5_2m3_1 # m3_1 # m5_2m3_1 # m3_1 # m5_2None11truecomposite1[[13, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 10, 8, 11], [9, 12, 10, 7], [11, 8, 12, 9], [7, 16, 14, 17], [15, 20, 16, 21], [17, 22, 18, 13], [19, 14, 20, 15], [21, 18, 22, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"5_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 4_1 # 4_1m3_1 # 4_1 # 4_1m3_1 # 4_1 # 4_1None11truecomposite1[[18, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [14, 12, 7, 11], [12, 9, 13, 10], [8, 13, 9, 14], [10, 16, 19, 15], [22, 20, 15, 19], [20, 17, 21, 18], [16, 21, 17, 22]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false},{"knot_id":"4_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 8_1m3_1 # 8_1m3_1 # 8_1None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 13, 10, 12], [11, 18, 12, 19], [13, 9, 14, 8], [15, 7, 16, 22], [17, 21, 18, 20], [19, 10, 20, 11], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_1m3_1 # m8_1m3_1 # m8_1None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 12, 10, 13], [11, 19, 12, 18], [13, 8, 14, 9], [15, 22, 16, 7], [17, 20, 18, 21], [19, 11, 20, 10], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_1","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_2m3_1 # 8_2m3_1 # 8_2None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 19, 10, 18], [11, 21, 12, 20], [13, 7, 14, 22], [15, 8, 16, 9], [17, 15, 18, 14], [19, 11, 20, 10], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_2m3_1 # m8_2m3_1 # m8_2None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 7], [15, 9, 16, 8], [17, 14, 18, 15], [19, 10, 20, 11], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_2","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_3m3_1 # 8_3m3_1 # 8_3None11truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 16, 21, 15], [16, 11, 17, 12], [18, 9, 19, 10], [10, 17, 11, 18], [8, 19, 9, 20], [22, 14, 7, 13], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_3","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 8_4m3_1 # 8_4m3_1 # 8_4None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 15, 11, 16], [12, 22, 13, 21], [14, 20, 15, 19], [16, 7, 17, 8], [18, 9, 19, 10], [20, 14, 21, 13], [22, 12, 7, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_4m3_1 # m8_4m3_1 # m8_4None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 16, 11, 15], [12, 21, 13, 22], [14, 19, 15, 20], [16, 8, 17, 7], [18, 10, 19, 9], [20, 13, 21, 14], [22, 11, 7, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_4","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_5m3_1 # 8_5m3_1 # 8_5None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 15, 10, 14], [11, 18, 12, 19], [13, 9, 14, 8], [15, 21, 16, 20], [17, 7, 18, 22], [19, 10, 20, 11], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_5m3_1 # m8_5m3_1 # m8_5None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 14, 10, 15], [11, 19, 12, 18], [13, 8, 14, 9], [15, 20, 16, 21], [17, 22, 18, 7], [19, 11, 20, 10], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_5","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_6m3_1 # 8_6m3_1 # 8_6None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [10, 20, 11, 19], [12, 22, 13, 21], [14, 18, 15, 17], [16, 7, 17, 8], [18, 14, 19, 13], [20, 12, 21, 11], [22, 10, 7, 9]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_6m3_1 # m8_6m3_1 # m8_6None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [10, 19, 11, 20], [12, 21, 13, 22], [14, 17, 15, 18], [16, 8, 17, 7], [18, 13, 19, 14], [20, 11, 21, 12], [22, 9, 7, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_6","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_7m3_1 # 8_7m3_1 # 8_7None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 9, 16], [10, 20, 11, 19], [12, 21, 13, 22], [14, 7, 15, 8], [16, 11, 17, 12], [18, 10, 19, 9], [20, 18, 21, 17], [22, 13, 7, 14]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_7m3_1 # m8_7m3_1 # m8_7None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 9, 15], [10, 19, 11, 20], [12, 22, 13, 21], [14, 8, 15, 7], [16, 12, 17, 11], [18, 9, 19, 10], [20, 17, 21, 18], [22, 14, 7, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_7","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_8m3_1 # 8_8m3_1 # 8_8None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 18, 10, 19], [11, 15, 12, 14], [13, 9, 14, 8], [15, 22, 16, 7], [17, 20, 18, 21], [19, 10, 20, 11], [21, 16, 22, 17]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_8m3_1 # m8_8m3_1 # m8_8None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 12, 8, 13], [9, 19, 10, 18], [11, 14, 12, 15], [13, 8, 14, 9], [15, 7, 16, 22], [17, 21, 18, 20], [19, 11, 20, 10], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_8","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_9m3_1 # 8_9m3_1 # 8_9None11truecomposite1[[12, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 13, 7], [20, 14, 21, 13], [16, 9, 17, 10], [8, 19, 9, 20], [18, 11, 19, 12], [10, 17, 11, 18], [22, 16, 7, 15], [14, 22, 15, 21]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_9","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 8_10m3_1 # 8_10m3_1 # 8_10None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 20, 9, 19], [10, 15, 11, 16], [12, 17, 13, 18], [14, 21, 15, 22], [16, 11, 17, 12], [18, 8, 19, 7], [20, 13, 21, 14], [22, 10, 7, 9]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_10m3_1 # m8_10m3_1 # m8_10None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 19, 9, 20], [10, 16, 11, 15], [12, 18, 13, 17], [14, 22, 15, 21], [16, 12, 17, 11], [18, 7, 19, 8], [20, 14, 21, 13], [22, 9, 7, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_10","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_11m3_1 # 8_11m3_1 # 8_11None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 16, 8, 17], [9, 19, 10, 18], [11, 21, 12, 20], [13, 7, 14, 22], [15, 8, 16, 9], [17, 15, 18, 14], [19, 13, 20, 12], [21, 11, 22, 10]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_11m3_1 # m8_11m3_1 # m8_11None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 8, 16], [9, 18, 10, 19], [11, 20, 12, 21], [13, 22, 14, 7], [15, 9, 16, 8], [17, 14, 18, 15], [19, 12, 20, 13], [21, 10, 22, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_11","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_12m3_1 # 8_12m3_1 # 8_12None11truecomposite1[[10, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 8, 11, 7], [16, 14, 17, 13], [14, 9, 15, 10], [8, 15, 9, 16], [20, 12, 21, 11], [22, 17, 7, 18], [18, 21, 19, 22], [12, 20, 13, 19]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_12","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # 8_13m3_1 # 8_13m3_1 # 8_13None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 15, 8, 14], [9, 20, 10, 21], [11, 18, 12, 19], [13, 17, 14, 16], [15, 9, 16, 8], [17, 22, 18, 7], [19, 10, 20, 11], [21, 12, 22, 13]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_13m3_1 # m8_13m3_1 # m8_13None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 14, 8, 15], [9, 21, 10, 20], [11, 19, 12, 18], [13, 16, 14, 17], [15, 8, 16, 9], [17, 7, 18, 22], [19, 11, 20, 10], [21, 13, 22, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_13","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_14m3_1 # 8_14m3_1 # 8_14None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 18, 9, 17], [10, 14, 11, 13], [12, 21, 13, 22], [14, 20, 15, 19], [16, 8, 17, 7], [18, 16, 19, 15], [20, 10, 21, 9], [22, 11, 7, 12]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":false,"reverse":false}]falsetruereversible[]
m3_1 # m8_14m3_1 # m8_14m3_1 # m8_14None11truecomposite1[[8, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 17, 9, 18], [10, 13, 11, 14], [12, 22, 13, 21], [14, 19, 15, 20], [16, 7, 17, 8], [18, 15, 19, 16], [20, 9, 21, 10], [22, 12, 7, 11]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_14","mirror":true,"reverse":false}]falsetruereversible[]
m3_1 # 8_15m3_1 # 8_15m3_1 # 8_15None11truecomposite1[[7, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3], [1, 13, 8, 12], [9, 21, 10, 20], [11, 15, 12, 14], [13, 9, 14, 8], [15, 19, 16, 18], [17, 7, 18, 22], [19, 11, 20, 10], [21, 17, 22, 16]]derived_connected_sum[{"knot_id":"3_1","mirror":true,"reverse":false},{"knot_id":"8_15","mirror":false,"reverse":false}]falsetruereversible[]