Database - belyi_passports_fixed ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2025-11-28T00:15:11.782828 - next page

Query: /api/belyi_passports_fixed/?_offset=0

Column	Type
BelyiDB_plabel	text
a_s	smallint
abc	smallint[]
aut_group	jsonb
b_s	smallint
c_s	smallint
deg	smallint
g	smallint
geomtype	text
group	text
is_primitive	boolean
lambdas	jsonb
maxdegbf	smallint
num_orbits	smallint
pass_size	smallint
plabel	text
primitivization	text
triples	jsonb

0. plabel: 1T1-1_1_1
   {'BelyiDB_plabel': '1T1-[1,1,1]-1-1-1-g0', 'a_s': 1, 'abc': [1, 1, 1], 'aut_group': [[1]], 'b_s': 1, 'c_s': 1, 'deg': 1, 'g': 0, 'geomtype': 'S', 'group': '1T1', 'is_primitive': True, 'lambdas': [[1], [1], [1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '1T1-1_1_1', 'primitivization': '1T1-1_1_1', 'triples': [[[1], [1], [1]]]}
1. plabel: 2T1-2_2_1.1
   {'BelyiDB_plabel': '2T1-[2,2,1]-2-2-11-g0', 'a_s': 1, 'abc': [2, 2, 1], 'aut_group': [[2, 1]], 'b_s': 2, 'c_s': 2, 'deg': 2, 'g': 0, 'geomtype': 'S', 'group': '2T1', 'is_primitive': True, 'lambdas': [[2], [2], [1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '2T1-2_2_1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 1], [2, 1], [1, 2]]]}
2. plabel: 3T1-3_3_1.1.1
   {'BelyiDB_plabel': '3T1-[3,3,1]-3-3-111-g0', 'a_s': 1, 'abc': [3, 3, 1], 'aut_group': [[2, 3, 1]], 'b_s': 3, 'c_s': 3, 'deg': 3, 'g': 0, 'geomtype': 'S', 'group': '3T1', 'is_primitive': True, 'lambdas': [[3], [3], [1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '3T1-3_3_1.1.1', 'primitivization': '3T1-3_3_1.1.1', 'triples': [[[2, 3, 1], [3, 1, 2], [1, 2, 3]]]}
3. plabel: 3T1-3_3_3
   {'BelyiDB_plabel': '3T1-[3,3,3]-3-3-3-g1', 'a_s': 3, 'abc': [3, 3, 3], 'aut_group': [[2, 3, 1]], 'b_s': 3, 'c_s': 3, 'deg': 3, 'g': 1, 'geomtype': 'E', 'group': '3T1', 'is_primitive': True, 'lambdas': [[3], [3], [3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '3T1-3_3_3', 'primitivization': '3T1-3_3_3', 'triples': [[[2, 3, 1], [2, 3, 1], [2, 3, 1]]]}
4. plabel: 3T2-3_2.1_2.1
   {'BelyiDB_plabel': '3T2-[3,2,2]-3-21-21-g0', 'a_s': 2, 'abc': [3, 2, 2], 'aut_group': [[1, 2, 3]], 'b_s': 2, 'c_s': 3, 'deg': 3, 'g': 0, 'geomtype': 'S', 'group': '3T2', 'is_primitive': True, 'lambdas': [[3], [2, 1], [2, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '3T2-3_2.1_2.1', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[2, 3, 1], [1, 3, 2], [2, 1, 3]]]}
5. plabel: 4T1-4_4_1.1.1.1
   {'BelyiDB_plabel': '4T1-[4,4,1]-4-4-1111-g0', 'a_s': 1, 'abc': [4, 4, 1], 'aut_group': [[2, 3, 4, 1]], 'b_s': 4, 'c_s': 4, 'deg': 4, 'g': 0, 'geomtype': 'S', 'group': '4T1', 'is_primitive': False, 'lambdas': [[4], [4], [1, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T1-4_4_1.1.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 1], [4, 1, 2, 3], [1, 2, 3, 4]]]}
6. plabel: 4T1-4_4_2.2
   {'BelyiDB_plabel': '4T1-[4,4,2]-4-4-22-g1', 'a_s': 2, 'abc': [4, 4, 2], 'aut_group': [[2, 3, 4, 1]], 'b_s': 4, 'c_s': 4, 'deg': 4, 'g': 1, 'geomtype': 'E', 'group': '4T1', 'is_primitive': False, 'lambdas': [[4], [4], [2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T1-4_4_2.2', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 1], [2, 3, 4, 1], [3, 4, 1, 2]]]}
7. plabel: 4T2-2.2_2.2_2.2
   {'BelyiDB_plabel': '4T2-[2,2,2]-22-22-22-g0', 'a_s': 2, 'abc': [2, 2, 2], 'aut_group': [[3, 4, 1, 2], [4, 3, 2, 1]], 'b_s': 2, 'c_s': 2, 'deg': 4, 'g': 0, 'geomtype': 'S', 'group': '4T2', 'is_primitive': False, 'lambdas': [[2, 2], [2, 2], [2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T2-2.2_2.2_2.2', 'primitivization': '2T1-2_2_1.1', 'triples': [[[4, 3, 2, 1], [2, 1, 4, 3], [3, 4, 1, 2]]]}
8. plabel: 4T3-4_2.2_2.1.1
   {'BelyiDB_plabel': '4T3-[4,2,2]-4-22-211-g0', 'a_s': 2, 'abc': [4, 2, 2], 'aut_group': [[3, 4, 1, 2]], 'b_s': 2, 'c_s': 4, 'deg': 4, 'g': 0, 'geomtype': 'S', 'group': '4T3', 'is_primitive': False, 'lambdas': [[4], [2, 2], [2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T3-4_2.2_2.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 1], [2, 1, 4, 3], [3, 2, 1, 4]]]}
9. plabel: 4T4-3.1_3.1_2.2
   {'BelyiDB_plabel': '4T4-[3,3,2]-31-31-22-g0', 'a_s': 2, 'abc': [3, 3, 2], 'aut_group': [[1, 2, 3, 4]], 'b_s': 3, 'c_s': 3, 'deg': 4, 'g': 0, 'geomtype': 'S', 'group': '4T4', 'is_primitive': True, 'lambdas': [[3, 1], [3, 1], [2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T4-3.1_3.1_2.2', 'primitivization': '4T4-3.1_3.1_2.2', 'triples': [[[2, 3, 1, 4], [2, 4, 3, 1], [3, 4, 1, 2]]]}
10. plabel: 4T4-3.1_3.1_3.1
    {'BelyiDB_plabel': '4T4-[3,3,3]-31-31-31-g0', 'a_s': 3, 'abc': [3, 3, 3], 'aut_group': [[1, 2, 3, 4]], 'b_s': 3, 'c_s': 3, 'deg': 4, 'g': 0, 'geomtype': 'E', 'group': '4T4', 'is_primitive': True, 'lambdas': [[3, 1], [3, 1], [3, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T4-3.1_3.1_3.1', 'primitivization': '4T4-3.1_3.1_3.1', 'triples': [[[2, 3, 1, 4], [3, 2, 4, 1], [1, 4, 2, 3]]]}
11. plabel: 4T5-4_3.1_2.1.1
    {'BelyiDB_plabel': '4T5-[4,3,2]-4-31-211-g0', 'a_s': 2, 'abc': [4, 3, 2], 'aut_group': [[1, 2, 3, 4]], 'b_s': 3, 'c_s': 4, 'deg': 4, 'g': 0, 'geomtype': 'S', 'group': '4T5', 'is_primitive': True, 'lambdas': [[4], [3, 1], [2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T5-4_3.1_2.1.1', 'primitivization': '4T5-4_3.1_2.1.1', 'triples': [[[2, 3, 4, 1], [1, 4, 2, 3], [2, 1, 3, 4]]]}
12. plabel: 4T5-4_4_3.1
    {'BelyiDB_plabel': '4T5-[4,4,3]-4-4-31-g1', 'a_s': 3, 'abc': [4, 4, 3], 'aut_group': [[1, 2, 3, 4]], 'b_s': 4, 'c_s': 4, 'deg': 4, 'g': 1, 'geomtype': 'H', 'group': '4T5', 'is_primitive': True, 'lambdas': [[4], [4], [3, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '4T5-4_4_3.1', 'primitivization': '4T5-4_4_3.1', 'triples': [[[2, 3, 4, 1], [3, 1, 4, 2], [3, 2, 4, 1]]]}
13. plabel: 5T1-5_5_1.1.1.1.1
    {'BelyiDB_plabel': '5T1-[5,5,1]-5-5-11111-g0', 'a_s': 1, 'abc': [5, 5, 1], 'aut_group': [[2, 3, 4, 5, 1]], 'b_s': 5, 'c_s': 5, 'deg': 5, 'g': 0, 'geomtype': 'S', 'group': '5T1', 'is_primitive': True, 'lambdas': [[5], [5], [1, 1, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T1-5_5_1.1.1.1.1', 'primitivization': '5T1-5_5_1.1.1.1.1', 'triples': [[[2, 3, 4, 5, 1], [5, 1, 2, 3, 4], [1, 2, 3, 4, 5]]]}
14. plabel: 5T1-5_5_5
    {'BelyiDB_plabel': '5T1-[5,5,5]-5-5-5-g2', 'a_s': 5, 'abc': [5, 5, 5], 'aut_group': [[2, 3, 4, 5, 1]], 'b_s': 5, 'c_s': 5, 'deg': 5, 'g': 2, 'geomtype': 'H', 'group': '5T1', 'is_primitive': True, 'lambdas': [[5], [5], [5]], 'maxdegbf': 1, 'num_orbits': 3, 'pass_size': 3, 'plabel': '5T1-5_5_5', 'primitivization': '5T1-5_5_5', 'triples': [[[2, 3, 4, 5, 1], [2, 3, 4, 5, 1], [4, 5, 1, 2, 3]], [[2, 3, 4, 5, 1], [4, 5, 1, 2, 3], [2, 3, 4, 5, 1]], [[2, 3, 4, 5, 1], [3, 4, 5, 1, 2], [3, 4, 5, 1, 2]]]}
15. plabel: 5T2-5_2.2.1_2.2.1
    {'BelyiDB_plabel': '5T2-[5,2,2]-5-221-221-g0', 'a_s': 2, 'abc': [5, 2, 2], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 2, 'c_s': 5, 'deg': 5, 'g': 0, 'geomtype': 'S', 'group': '5T2', 'is_primitive': True, 'lambdas': [[5], [2, 2, 1], [2, 2, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T2-5_2.2.1_2.2.1', 'primitivization': '5T2-5_2.2.1_2.2.1', 'triples': [[[2, 3, 4, 5, 1], [3, 2, 1, 5, 4], [4, 3, 2, 1, 5]]]}
16. plabel: 5T3-4.1_4.1_2.2.1
    {'BelyiDB_plabel': '5T3-[4,4,2]-41-41-221-g0', 'a_s': 2, 'abc': [4, 4, 2], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 4, 'deg': 5, 'g': 0, 'geomtype': 'E', 'group': '5T3', 'is_primitive': True, 'lambdas': [[4, 1], [4, 1], [2, 2, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '5T3-4.1_4.1_2.2.1', 'primitivization': '5T3-4.1_4.1_2.2.1', 'triples': [[[4, 1, 3, 5, 2], [1, 3, 5, 2, 4], [4, 3, 2, 1, 5]], [[2, 5, 3, 1, 4], [5, 3, 1, 4, 2], [4, 3, 2, 1, 5]]]}
17. plabel: 5T3-5_4.1_4.1
    {'BelyiDB_plabel': '5T3-[5,4,4]-5-41-41-g1', 'a_s': 4, 'abc': [5, 4, 4], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 5, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T3', 'is_primitive': True, 'lambdas': [[5], [4, 1], [4, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '5T3-5_4.1_4.1', 'primitivization': '5T3-5_4.1_4.1', 'triples': [[[2, 3, 4, 5, 1], [1, 3, 5, 2, 4], [3, 1, 4, 2, 5]], [[2, 3, 4, 5, 1], [2, 5, 3, 1, 4], [2, 4, 1, 3, 5]]]}
18. plabel: 5T4-5_2.2.1_3.1.1
    {'BelyiDB_plabel': '5T4-[5,2,3]-5-221-311-g0', 'a_s': 2, 'abc': [5, 2, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 3, 'c_s': 5, 'deg': 5, 'g': 0, 'geomtype': 'S', 'group': '5T4', 'is_primitive': True, 'lambdas': [[5], [2, 2, 1], [3, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T4-5_2.2.1_3.1.1', 'primitivization': '5T4-5_2.2.1_3.1.1', 'triples': [[[3, 5, 4, 2, 1], [1, 5, 4, 3, 2], [2, 3, 1, 4, 5]]]}
19. plabel: 5T4-5_3.1.1_3.1.1
    {'BelyiDB_plabel': '5T4-[5,3,3]-5-311-311-g0', 'a_s': 3, 'abc': [5, 3, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 3, 'c_s': 5, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T4', 'is_primitive': True, 'lambdas': [[5], [3, 1, 1], [3, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T4-5_3.1.1_3.1.1', 'primitivization': '5T4-5_3.1.1_3.1.1', 'triples': [[[3, 5, 2, 1, 4], [2, 3, 1, 4, 5], [4, 2, 3, 5, 1]]]}
20. plabel: 5T4-5_5_2.2.1
    {'BelyiDB_plabel': '5T4-[5,5,2]-5-5-221-g1', 'a_s': 2, 'abc': [5, 5, 2], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 5, 'c_s': 5, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T4', 'is_primitive': True, 'lambdas': [[5], [5], [2, 2, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T4-5_5_2.2.1', 'primitivization': '5T4-5_5_2.2.1', 'triples': [[[2, 3, 4, 5, 1], [3, 1, 4, 5, 2], [4, 2, 5, 1, 3]]]}
21. plabel: 5T4-5_5_3.1.1
    {'BelyiDB_plabel': '5T4-[5,5,3]-5-5-311-g1', 'a_s': 3, 'abc': [5, 5, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 5, 'c_s': 5, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T4', 'is_primitive': True, 'lambdas': [[5], [5], [3, 1, 1]], 'maxdegbf': 1, 'num_orbits': 2, 'pass_size': 2, 'plabel': '5T4-5_5_3.1.1', 'primitivization': '5T4-5_5_3.1.1', 'triples': [[[2, 3, 4, 5, 1], [3, 1, 5, 2, 4], [3, 2, 4, 1, 5]], [[2, 3, 4, 5, 1], [5, 1, 4, 2, 3], [1, 2, 4, 5, 3]]]}
22. plabel: 5T4-5_5_5
    {'BelyiDB_plabel': '5T4-[5,5,5]-5-5-5-g2', 'a_s': 5, 'abc': [5, 5, 5], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 5, 'c_s': 5, 'deg': 5, 'g': 2, 'geomtype': 'H', 'group': '5T4', 'is_primitive': True, 'lambdas': [[5], [5], [5]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T4-5_5_5', 'primitivization': '5T4-5_5_5', 'triples': [[[2, 3, 4, 5, 1], [3, 5, 4, 2, 1], [2, 5, 4, 1, 3]]]}
23. plabel: 5T5-3.2_3.2_2.2.1
    {'BelyiDB_plabel': '5T5-[6,6,2]-32-32-221-g0', 'a_s': 2, 'abc': [6, 6, 2], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 6, 'c_s': 6, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[3, 2], [3, 2], [2, 2, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-3.2_3.2_2.2.1', 'primitivization': '5T5-3.2_3.2_2.2.1', 'triples': [[[2, 3, 1, 5, 4], [5, 1, 4, 3, 2], [4, 2, 5, 1, 3]]]}
24. plabel: 5T5-3.2_3.2_3.1.1
    {'BelyiDB_plabel': '5T5-[6,6,3]-32-32-311-g0', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 6, 'c_s': 6, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[3, 2], [3, 2], [3, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-3.2_3.2_3.1.1', 'primitivization': '5T5-3.2_3.2_3.1.1', 'triples': [[[2, 3, 1, 5, 4], [4, 3, 2, 5, 1], [2, 5, 3, 4, 1]]]}
25. plabel: 5T5-4.1_2.2.1_3.2
    {'BelyiDB_plabel': '5T5-[4,2,6]-41-221-32-g0', 'a_s': 2, 'abc': [4, 2, 6], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 6, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[4, 1], [2, 2, 1], [3, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-4.1_2.2.1_3.2', 'primitivization': '5T5-4.1_2.2.1_3.2', 'triples': [[[2, 4, 1, 3, 5], [5, 3, 2, 4, 1], [2, 5, 4, 3, 1]]]}
26. plabel: 5T5-4.1_3.2_3.1.1
    {'BelyiDB_plabel': '5T5-[4,6,3]-41-32-311-g0', 'a_s': 3, 'abc': [4, 6, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 6, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[4, 1], [3, 2], [3, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '5T5-4.1_3.2_3.1.1', 'primitivization': '5T5-4.1_3.2_3.1.1', 'triples': [[[2, 4, 3, 5, 1], [3, 5, 1, 2, 4], [2, 3, 1, 4, 5]], [[4, 2, 5, 3, 1], [4, 5, 2, 1, 3], [2, 3, 1, 4, 5]]]}
27. plabel: 5T5-4.1_4.1_3.1.1
    {'BelyiDB_plabel': '5T5-[4,4,3]-41-41-311-g0', 'a_s': 3, 'abc': [4, 4, 3], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 4, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[4, 1], [4, 1], [3, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-4.1_4.1_3.1.1', 'primitivization': '5T5-4.1_4.1_3.1.1', 'triples': [[[3, 2, 4, 5, 1], [1, 5, 2, 3, 4], [2, 3, 1, 4, 5]]]}
28. plabel: 5T5-5_2.1.1.1_3.2
    {'BelyiDB_plabel': '5T5-[5,2,6]-5-2111-32-g0', 'a_s': 2, 'abc': [5, 2, 6], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 5, 'c_s': 6, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[5], [2, 1, 1, 1], [3, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-5_2.1.1.1_3.2', 'primitivization': '5T5-5_2.1.1.1_3.2', 'triples': [[[3, 5, 2, 1, 4], [2, 1, 3, 4, 5], [4, 3, 2, 5, 1]]]}
29. plabel: 5T5-5_4.1_2.1.1.1
    {'BelyiDB_plabel': '5T5-[5,4,2]-5-41-2111-g0', 'a_s': 2, 'abc': [5, 4, 2], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 5, 'deg': 5, 'g': 0, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[5], [4, 1], [2, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-5_4.1_2.1.1.1', 'primitivization': '5T5-5_4.1_2.1.1.1', 'triples': [[[2, 3, 4, 5, 1], [1, 5, 2, 3, 4], [2, 1, 3, 4, 5]]]}
30. plabel: 5T5-5_3.2_3.2
    {'BelyiDB_plabel': '5T5-[5,6,6]-5-32-32-g1', 'a_s': 5, 'abc': [5, 6, 6], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 6, 'c_s': 6, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[5], [3, 2], [3, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-5_3.2_3.2', 'primitivization': '5T5-5_3.2_3.2', 'triples': [[[4, 5, 1, 2, 3], [2, 3, 1, 5, 4], [2, 5, 4, 3, 1]]]}
31. plabel: 5T5-5_3.2_4.1
    {'BelyiDB_plabel': '5T5-[5,6,4]-5-32-41-g1', 'a_s': 4, 'abc': [5, 6, 4], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 5, 'c_s': 6, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[5], [3, 2], [4, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '5T5-5_3.2_4.1', 'primitivization': '5T5-5_3.2_4.1', 'triples': [[[2, 3, 4, 5, 1], [2, 3, 1, 5, 4], [4, 3, 1, 2, 5]], [[2, 3, 4, 5, 1], [3, 5, 1, 2, 4], [2, 3, 4, 1, 5]]]}
32. plabel: 5T5-5_4.1_4.1
    {'BelyiDB_plabel': '5T5-[5,4,4]-5-41-41-g1', 'a_s': 4, 'abc': [5, 4, 4], 'aut_group': [[1, 2, 3, 4, 5]], 'b_s': 4, 'c_s': 5, 'deg': 5, 'g': 1, 'geomtype': 'H', 'group': '5T5', 'is_primitive': True, 'lambdas': [[5], [4, 1], [4, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '5T5-5_4.1_4.1', 'primitivization': '5T5-5_4.1_4.1', 'triples': [[[4, 5, 1, 2, 3], [2, 3, 4, 1, 5], [2, 3, 5, 4, 1]]]}
33. plabel: 6T1-6_6_1.1.1.1.1.1
    {'BelyiDB_plabel': '6T1-[6,6,1]-6-6-111111-g0', 'a_s': 1, 'abc': [6, 6, 1], 'aut_group': [[2, 3, 4, 5, 6, 1]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'S', 'group': '6T1', 'is_primitive': False, 'lambdas': [[6], [6], [1, 1, 1, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T1-6_6_1.1.1.1.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [6, 1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6]]]}
34. plabel: 6T1-6_2.2.2_3.3
    {'BelyiDB_plabel': '6T1-[6,2,3]-6-222-33-g1', 'a_s': 2, 'abc': [6, 2, 3], 'aut_group': [[5, 6, 1, 2, 3, 4], [6, 1, 2, 3, 4, 5]], 'b_s': 3, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'E', 'group': '6T1', 'is_primitive': False, 'lambdas': [[6], [2, 2, 2], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T1-6_2.2.2_3.3', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [4, 5, 6, 1, 2, 3], [3, 4, 5, 6, 1, 2]]]}
35. plabel: 6T1-6_6_3.3
    {'BelyiDB_plabel': '6T1-[6,6,3]-6-6-33-g2', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[2, 3, 4, 5, 6, 1]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T1', 'is_primitive': False, 'lambdas': [[6], [6], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T1-6_6_3.3', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [2, 3, 4, 5, 6, 1], [5, 6, 1, 2, 3, 4]]]}
36. plabel: 6T10-4.2_4.2_2.2.1.1
    {'BelyiDB_plabel': '6T10-[4,4,2]-42-42-2211-g0', 'a_s': 2, 'abc': [4, 4, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 0, 'geomtype': 'E', 'group': '6T10', 'is_primitive': False, 'lambdas': [[4, 2], [4, 2], [2, 2, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T10-4.2_4.2_2.2.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[4, 1, 6, 5, 2, 3], [6, 1, 2, 5, 4, 3], [3, 4, 1, 2, 5, 6]], [[4, 1, 6, 5, 2, 3], [2, 5, 4, 3, 6, 1], [1, 2, 5, 6, 3, 4]]]}
37. plabel: 6T10-4.2_4.2_3.1.1.1
    {'BelyiDB_plabel': '6T10-[4,4,3]-42-42-3111-g0', 'a_s': 3, 'abc': [4, 4, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T10', 'is_primitive': False, 'lambdas': [[4, 2], [4, 2], [3, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T10-4.2_4.2_3.1.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[4, 1, 6, 5, 2, 3], [2, 3, 6, 5, 4, 1], [1, 4, 3, 6, 5, 2]]]}
38. plabel: 6T10-4.2_4.2_3.3
    {'BelyiDB_plabel': '6T10-[4,4,3]-42-42-33-g1', 'a_s': 3, 'abc': [4, 4, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T10', 'is_primitive': False, 'lambdas': [[4, 2], [4, 2], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T10-4.2_4.2_3.3', 'primitivization': '2T1-2_2_1.1', 'triples': [[[4, 1, 6, 5, 2, 3], [4, 1, 2, 3, 6, 5], [3, 6, 5, 2, 1, 4]]]}
39. plabel: 6T11-6_2.2.1.1_4.1.1
    {'BelyiDB_plabel': '6T11-[6,2,4]-6-2211-411-g0', 'a_s': 2, 'abc': [6, 2, 4], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T11', 'is_primitive': False, 'lambdas': [[6], [2, 2, 1, 1], [4, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T11-6_2.2.1.1_4.1.1', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[5, 6, 4, 2, 3, 1], [5, 4, 3, 2, 1, 6], [6, 2, 1, 3, 5, 4]]]}
40. plabel: 6T11-6_4.1.1_4.2
    {'BelyiDB_plabel': '6T11-[6,4,4]-6-411-42-g1', 'a_s': 4, 'abc': [6, 4, 4], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T11', 'is_primitive': False, 'lambdas': [[6], [4, 1, 1], [4, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T11-6_4.1.1_4.2', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[6, 1, 2, 3, 4, 5], [6, 2, 1, 3, 5, 4], [2, 4, 6, 5, 1, 3]]]}
41. plabel: 6T11-6_4.2_2.2.2
    {'BelyiDB_plabel': '6T11-[6,4,2]-6-42-222-g1', 'a_s': 2, 'abc': [6, 4, 2], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T11', 'is_primitive': False, 'lambdas': [[6], [4, 2], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T11-6_4.2_2.2.2', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[3, 4, 2, 6, 1, 5], [2, 4, 6, 5, 1, 3], [4, 6, 5, 1, 3, 2]]]}
42. plabel: 6T12-5.1_2.2.1.1_3.3
    {'BelyiDB_plabel': '6T12-[5,2,3]-51-2211-33-g0', 'a_s': 2, 'abc': [5, 2, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 3, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'S', 'group': '6T12', 'is_primitive': True, 'lambdas': [[5, 1], [2, 2, 1, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T12-5.1_2.2.1.1_3.3', 'primitivization': '6T12-5.1_2.2.1.1_3.3', 'triples': [[[2, 3, 4, 6, 5, 1], [4, 2, 3, 1, 6, 5], [5, 4, 2, 3, 6, 1]]]}
43. plabel: 6T12-5.1_5.1_2.2.1.1
    {'BelyiDB_plabel': '6T12-[5,5,2]-51-51-2211-g0', 'a_s': 2, 'abc': [5, 5, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T12', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [2, 2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T12-5.1_5.1_2.2.1.1', 'primitivization': '6T12-5.1_5.1_2.2.1.1', 'triples': [[[2, 3, 4, 6, 5, 1], [5, 1, 3, 2, 6, 4], [5, 2, 4, 3, 1, 6]]]}
44. plabel: 6T12-5.1_3.3_3.3
    {'BelyiDB_plabel': '6T12-[5,3,3]-51-33-33-g1', 'a_s': 3, 'abc': [5, 3, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 3, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T12', 'is_primitive': True, 'lambdas': [[5, 1], [3, 3], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T12-5.1_3.3_3.3', 'primitivization': '6T12-5.1_3.3_3.3', 'triples': [[[4, 1, 5, 3, 2, 6], [3, 1, 2, 6, 4, 5], [3, 6, 5, 2, 1, 4]]]}
45. plabel: 6T12-5.1_5.1_3.3
    {'BelyiDB_plabel': '6T12-[5,5,3]-51-51-33-g1', 'a_s': 3, 'abc': [5, 5, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T12', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 2, 'pass_size': 2, 'plabel': '6T12-5.1_5.1_3.3', 'primitivization': '6T12-5.1_5.1_3.3', 'triples': [[[2, 3, 4, 6, 5, 1], [2, 6, 1, 4, 3, 5], [2, 3, 1, 5, 6, 4]], [[2, 3, 4, 6, 5, 1], [2, 4, 3, 6, 1, 5], [4, 5, 1, 3, 6, 2]]]}
46. plabel: 6T12-5.1_5.1_5.1
    {'BelyiDB_plabel': '6T12-[5,5,5]-51-51-51-g1', 'a_s': 5, 'abc': [5, 5, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T12', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [5, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T12-5.1_5.1_5.1', 'primitivization': '6T12-5.1_5.1_5.1', 'triples': [[[2, 3, 4, 6, 5, 1], [6, 5, 3, 1, 4, 2], [1, 4, 6, 3, 2, 5]]]}
47. plabel: 6T13-4.2_3.2.1_2.2.2
    {'BelyiDB_plabel': '6T13-[4,6,2]-42-321-222-g0', 'a_s': 2, 'abc': [4, 6, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T13', 'is_primitive': False, 'lambdas': [[4, 2], [3, 2, 1], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T13-4.2_3.2.1_2.2.2', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 5, 6, 1, 4, 3], [3, 6, 1, 2, 5, 4], [6, 3, 2, 5, 4, 1]]]}
48. plabel: 6T13-6_2.1.1.1.1_4.2
    {'BelyiDB_plabel': '6T13-[6,2,4]-6-21111-42-g0', 'a_s': 2, 'abc': [6, 2, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T13', 'is_primitive': False, 'lambdas': [[6], [2, 1, 1, 1, 1], [4, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T13-6_2.1.1.1.1_4.2', 'primitivization': '2T1-2_2_1.1', 'triples': [[[6, 1, 4, 5, 2, 3], [3, 2, 1, 4, 5, 6], [2, 5, 6, 1, 4, 3]]]}
49. plabel: 6T13-6_4.2_3.2.1
    {'BelyiDB_plabel': '6T13-[6,4,6]-6-42-321-g1', 'a_s': 4, 'abc': [6, 4, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T13', 'is_primitive': False, 'lambdas': [[6], [4, 2], [3, 2, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T13-6_4.2_3.2.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[2, 5, 4, 1, 6, 3], [2, 5, 6, 1, 4, 3], [5, 4, 3, 6, 1, 2]], [[2, 3, 4, 5, 6, 1], [2, 5, 6, 1, 4, 3], [3, 4, 1, 6, 5, 2]]]}
50. plabel: 6T14-4.1.1_4.1.1_3.3
    {'BelyiDB_plabel': '6T14-[4,4,3]-411-411-33-g0', 'a_s': 3, 'abc': [4, 4, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[4, 1, 1], [4, 1, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-4.1.1_4.1.1_3.3', 'primitivization': '6T14-4.1.1_4.1.1_3.3', 'triples': [[[4, 2, 6, 3, 5, 1], [2, 5, 3, 4, 6, 1], [5, 1, 4, 6, 2, 3]]]}
51. plabel: 6T14-5.1_4.1.1_2.2.2
    {'BelyiDB_plabel': '6T14-[5,4,2]-51-411-222-g0', 'a_s': 2, 'abc': [5, 4, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[5, 1], [4, 1, 1], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-5.1_4.1.1_2.2.2', 'primitivization': '6T14-5.1_4.1.1_2.2.2', 'triples': [[[2, 3, 4, 6, 5, 1], [1, 6, 3, 2, 4, 5], [2, 1, 4, 3, 6, 5]]]}
52. plabel: 6T14-5.1_4.1.1_4.1.1
    {'BelyiDB_plabel': '6T14-[5,4,4]-51-411-411-g0', 'a_s': 4, 'abc': [5, 4, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[5, 1], [4, 1, 1], [4, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-5.1_4.1.1_4.1.1', 'primitivization': '6T14-5.1_4.1.1_4.1.1', 'triples': [[[3, 4, 2, 5, 1, 6], [1, 6, 3, 2, 4, 5], [6, 3, 1, 4, 5, 2]]]}
53. plabel: 6T14-6_4.1.1_2.2.1.1
    {'BelyiDB_plabel': '6T14-[6,4,2]-6-411-2211-g0', 'a_s': 2, 'abc': [6, 4, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [4, 1, 1], [2, 2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-6_4.1.1_2.2.1.1', 'primitivization': '6T14-6_4.1.1_2.2.1.1', 'triples': [[[6, 4, 2, 1, 3, 5], [1, 3, 6, 2, 5, 4], [6, 2, 5, 4, 3, 1]]]}
54. plabel: 6T14-6_3.3_4.1.1
    {'BelyiDB_plabel': '6T14-[6,3,4]-6-33-411-g1', 'a_s': 3, 'abc': [6, 3, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [3, 3], [4, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T14-6_3.3_4.1.1', 'primitivization': '6T14-6_3.3_4.1.1', 'triples': [[[2, 3, 6, 1, 4, 5], [5, 1, 4, 6, 2, 3], [3, 2, 5, 1, 4, 6]], [[5, 1, 6, 3, 4, 2], [5, 1, 4, 6, 2, 3], [5, 4, 3, 1, 2, 6]]]}
55. plabel: 6T14-6_4.1.1_5.1
    {'BelyiDB_plabel': '6T14-[6,4,5]-6-411-51-g1', 'a_s': 4, 'abc': [6, 4, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [4, 1, 1], [5, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T14-6_4.1.1_5.1', 'primitivization': '6T14-6_4.1.1_5.1', 'triples': [[[6, 4, 2, 1, 3, 5], [1, 4, 3, 5, 6, 2], [2, 3, 4, 6, 5, 1]], [[4, 1, 2, 5, 6, 3], [5, 2, 3, 6, 4, 1], [2, 3, 4, 6, 5, 1]]]}
56. plabel: 6T14-6_5.1_2.2.2
    {'BelyiDB_plabel': '6T14-[6,5,2]-6-51-222-g1', 'a_s': 2, 'abc': [6, 5, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [5, 1], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-6_5.1_2.2.2', 'primitivization': '6T14-6_5.1_2.2.2', 'triples': [[[6, 4, 2, 1, 3, 5], [3, 4, 2, 5, 1, 6], [2, 1, 4, 3, 6, 5]]]}
57. plabel: 6T14-6_6_2.2.1.1
    {'BelyiDB_plabel': '6T14-[6,6,2]-6-6-2211-g1', 'a_s': 2, 'abc': [6, 6, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [6], [2, 2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-6_6_2.2.1.1', 'primitivization': '6T14-6_6_2.2.1.1', 'triples': [[[6, 4, 2, 1, 3, 5], [5, 6, 4, 2, 3, 1], [3, 5, 1, 4, 2, 6]]]}
58. plabel: 6T14-6_6_3.3
    {'BelyiDB_plabel': '6T14-[6,6,3]-6-6-33-g2', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [6], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-6_6_3.3', 'primitivization': '6T14-6_6_3.3', 'triples': [[[6, 4, 2, 1, 3, 5], [3, 5, 4, 6, 1, 2], [3, 1, 2, 6, 4, 5]]]}
59. plabel: 6T14-6_6_5.1
    {'BelyiDB_plabel': '6T14-[6,6,5]-6-6-51-g2', 'a_s': 5, 'abc': [6, 6, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T14', 'is_primitive': True, 'lambdas': [[6], [6], [5, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T14-6_6_5.1', 'primitivization': '6T14-6_6_5.1', 'triples': [[[6, 4, 2, 1, 3, 5], [2, 3, 6, 1, 4, 5], [5, 2, 6, 1, 3, 4]]]}
60. plabel: 6T15-4.2_3.1.1.1_3.3
    {'BelyiDB_plabel': '6T15-[4,3,3]-42-3111-33-g0', 'a_s': 3, 'abc': [4, 3, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 3, 'c_s': 4, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[4, 2], [3, 1, 1, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T15-4.2_3.1.1.1_3.3', 'primitivization': '6T15-4.2_3.1.1.1_3.3', 'triples': [[[3, 1, 4, 2, 6, 5], [1, 2, 4, 5, 3, 6], [2, 3, 1, 5, 6, 4]]]}
61. plabel: 6T15-5.1_3.3_3.1.1.1
    {'BelyiDB_plabel': '6T15-[5,3,3]-51-33-3111-g0', 'a_s': 3, 'abc': [5, 3, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 3, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [3, 3], [3, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T15-5.1_3.3_3.1.1.1', 'primitivization': '6T15-5.1_3.3_3.1.1.1', 'triples': [[[6, 4, 3, 5, 1, 2], [3, 5, 6, 2, 4, 1], [2, 3, 1, 4, 5, 6]]]}
62. plabel: 6T15-5.1_4.2_2.2.1.1
    {'BelyiDB_plabel': '6T15-[5,4,2]-51-42-2211-g0', 'a_s': 2, 'abc': [5, 4, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [4, 2], [2, 2, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T15-5.1_4.2_2.2.1.1', 'primitivization': '6T15-5.1_4.2_2.2.1.1', 'triples': [[[6, 3, 5, 4, 1, 2], [6, 5, 4, 2, 3, 1], [2, 1, 4, 3, 5, 6]], [[3, 2, 5, 6, 4, 1], [2, 6, 5, 1, 3, 4], [2, 1, 4, 3, 5, 6]]]}
63. plabel: 6T15-5.1_4.2_3.1.1.1
    {'BelyiDB_plabel': '6T15-[5,4,3]-51-42-3111-g0', 'a_s': 3, 'abc': [5, 4, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [4, 2], [3, 1, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T15-5.1_4.2_3.1.1.1', 'primitivization': '6T15-5.1_4.2_3.1.1.1', 'triples': [[[2, 4, 3, 5, 6, 1], [3, 6, 1, 2, 4, 5], [2, 3, 1, 4, 5, 6]], [[4, 2, 5, 3, 6, 1], [4, 6, 2, 1, 3, 5], [2, 3, 1, 4, 5, 6]]]}
64. plabel: 6T15-5.1_5.1_2.2.1.1
    {'BelyiDB_plabel': '6T15-[5,5,2]-51-51-2211-g0', 'a_s': 2, 'abc': [5, 5, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [2, 2, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T15-5.1_5.1_2.2.1.1', 'primitivization': '6T15-5.1_5.1_2.2.1.1', 'triples': [[[2, 3, 5, 4, 6, 1], [1, 6, 4, 2, 3, 5], [2, 1, 4, 3, 5, 6]], [[3, 2, 4, 5, 6, 1], [2, 6, 3, 1, 4, 5], [2, 1, 4, 3, 5, 6]]]}
65. plabel: 6T15-5.1_5.1_3.1.1.1
    {'BelyiDB_plabel': '6T15-[5,5,3]-51-51-3111-g0', 'a_s': 3, 'abc': [5, 5, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [3, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T15-5.1_5.1_3.1.1.1', 'primitivization': '6T15-5.1_5.1_3.1.1.1', 'triples': [[[3, 2, 4, 5, 6, 1], [1, 6, 2, 3, 4, 5], [2, 3, 1, 4, 5, 6]]]}
66. plabel: 6T15-4.2_4.2_4.2
    {'BelyiDB_plabel': '6T15-[4,4,4]-42-42-42-g1', 'a_s': 4, 'abc': [4, 4, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[4, 2], [4, 2], [4, 2]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T15-4.2_4.2_4.2', 'primitivization': '6T15-4.2_4.2_4.2', 'triples': [[[2, 3, 4, 1, 6, 5], [6, 3, 1, 5, 4, 2], [5, 3, 6, 2, 1, 4]], [[2, 3, 4, 1, 6, 5], [6, 3, 5, 2, 4, 1], [5, 6, 4, 2, 1, 3]]]}
67. plabel: 6T15-5.1_4.2_3.3
    {'BelyiDB_plabel': '6T15-[5,4,3]-51-42-33-g1', 'a_s': 3, 'abc': [5, 4, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [4, 2], [3, 3]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T15-5.1_4.2_3.3', 'primitivization': '6T15-5.1_4.2_3.3', 'triples': [[[2, 3, 4, 5, 1, 6], [2, 5, 1, 6, 3, 4], [2, 3, 1, 5, 6, 4]], [[6, 3, 5, 4, 1, 2], [2, 5, 6, 1, 4, 3], [2, 3, 1, 5, 6, 4]]]}
68. plabel: 6T15-5.1_4.2_4.2
    {'BelyiDB_plabel': '6T15-[5,4,4]-51-42-42-g1', 'a_s': 4, 'abc': [5, 4, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [4, 2], [4, 2]], 'maxdegbf': 2, 'num_orbits': 2, 'pass_size': 4, 'plabel': '6T15-5.1_4.2_4.2', 'primitivization': '6T15-5.1_4.2_4.2', 'triples': [[[5, 2, 6, 1, 3, 4], [2, 3, 4, 1, 6, 5], [3, 1, 6, 5, 4, 2]], [[5, 6, 3, 2, 4, 1], [2, 3, 4, 1, 6, 5], [5, 3, 2, 6, 4, 1]], [[5, 6, 3, 1, 2, 4], [2, 3, 4, 1, 6, 5], [3, 6, 2, 5, 4, 1]], [[2, 3, 6, 1, 5, 4], [2, 3, 4, 1, 6, 5], [3, 4, 1, 5, 6, 2]]]}
69. plabel: 6T15-5.1_5.1_3.3
    {'BelyiDB_plabel': '6T15-[5,5,3]-51-51-33-g1', 'a_s': 3, 'abc': [5, 5, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T15-5.1_5.1_3.3', 'primitivization': '6T15-5.1_5.1_3.3', 'triples': [[[6, 4, 2, 1, 5, 3], [6, 4, 3, 1, 2, 5], [2, 3, 1, 5, 6, 4]]]}
70. plabel: 6T15-5.1_5.1_4.2
    {'BelyiDB_plabel': '6T15-[5,5,4]-51-51-42-g1', 'a_s': 4, 'abc': [5, 5, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [4, 2]], 'maxdegbf': 4, 'num_orbits': 2, 'pass_size': 8, 'plabel': '6T15-5.1_5.1_4.2', 'primitivization': '6T15-5.1_5.1_4.2', 'triples': [[[3, 1, 4, 5, 2, 6], [3, 2, 5, 1, 6, 4], [2, 3, 4, 1, 6, 5]], [[2, 3, 5, 4, 6, 1], [4, 6, 1, 2, 5, 3], [2, 3, 4, 1, 6, 5]], [[2, 4, 3, 5, 6, 1], [2, 6, 1, 3, 5, 4], [2, 3, 4, 1, 6, 5]], [[3, 2, 4, 5, 6, 1], [3, 6, 2, 1, 5, 4], [2, 3, 4, 1, 6, 5]], [[5, 1, 3, 6, 4, 2], [5, 2, 6, 3, 4, 1], [2, 3, 4, 1, 6, 5]], [[4, 6, 3, 5, 2, 1], [1, 6, 5, 3, 2, 4], [2, 3, 4, 1, 6, 5]], [[3, 4, 2, 5, 1, 6], [2, 5, 3, 1, 6, 4], [2, 3, 4, 1, 6, 5]], [[2, 4, 5, 3, 1, 6], [2, 5, 1, 4, 6, 3], [2, 3, 4, 1, 6, 5]]]}
71. plabel: 6T15-5.1_5.1_5.1
    {'BelyiDB_plabel': '6T15-[5,5,5]-51-51-51-g1', 'a_s': 5, 'abc': [5, 5, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 5, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T15', 'is_primitive': True, 'lambdas': [[5, 1], [5, 1], [5, 1]], 'maxdegbf': 2, 'num_orbits': 4, 'pass_size': 8, 'plabel': '6T15-5.1_5.1_5.1', 'primitivization': '6T15-5.1_5.1_5.1', 'triples': [[[2, 3, 4, 5, 1, 6], [3, 1, 4, 6, 5, 2], [5, 2, 6, 1, 3, 4]], [[2, 3, 4, 5, 1, 6], [3, 1, 5, 4, 6, 2], [3, 2, 6, 1, 4, 5]], [[2, 3, 4, 5, 1, 6], [2, 5, 3, 6, 4, 1], [2, 6, 1, 3, 5, 4]], [[2, 3, 4, 5, 1, 6], [4, 1, 3, 5, 6, 2], [4, 2, 6, 3, 1, 5]], [[2, 3, 4, 5, 1, 6], [4, 2, 5, 3, 6, 1], [3, 6, 2, 4, 1, 5]], [[2, 3, 4, 5, 1, 6], [3, 2, 5, 6, 4, 1], [3, 6, 2, 1, 5, 4]], [[2, 3, 4, 5, 1, 6], [4, 1, 3, 6, 2, 5], [6, 2, 5, 3, 1, 4]], [[2, 3, 4, 5, 1, 6], [1, 3, 5, 6, 4, 2], [3, 1, 6, 2, 5, 4]]]}
72. plabel: 6T16-3.2.1_3.2.1_3.3
    {'BelyiDB_plabel': '6T16-[6,6,3]-321-321-33-g0', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[3, 2, 1], [3, 2, 1], [3, 3]], 'maxdegbf': 3, 'num_orbits': 1, 'pass_size': 3, 'plabel': '6T16-3.2.1_3.2.1_3.3', 'primitivization': '6T16-3.2.1_3.2.1_3.3', 'triples': [[[2, 3, 1, 5, 4, 6], [5, 2, 4, 6, 1, 3], [6, 5, 2, 1, 3, 4]], [[2, 3, 1, 5, 4, 6], [4, 6, 3, 1, 2, 5], [3, 4, 5, 6, 1, 2]], [[2, 3, 1, 5, 4, 6], [2, 4, 6, 1, 5, 3], [6, 4, 1, 5, 2, 3]]]}
73. plabel: 6T16-4.1.1_3.2.1_3.3
    {'BelyiDB_plabel': '6T16-[4,6,3]-411-321-33-g0', 'a_s': 3, 'abc': [4, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[4, 1, 1], [3, 2, 1], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T16-4.1.1_3.2.1_3.3', 'primitivization': '6T16-4.1.1_3.2.1_3.3', 'triples': [[[2, 3, 4, 1, 5, 6], [6, 4, 3, 5, 2, 1], [2, 6, 5, 3, 4, 1]]]}
74. plabel: 6T16-4.2_3.2.1_3.2.1
    {'BelyiDB_plabel': '6T16-[4,6,6]-42-321-321-g0', 'a_s': 4, 'abc': [4, 6, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[4, 2], [3, 2, 1], [3, 2, 1]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-4.2_3.2.1_3.2.1', 'primitivization': '6T16-4.2_3.2.1_3.2.1', 'triples': [[[4, 6, 1, 5, 3, 2], [2, 3, 1, 5, 4, 6], [2, 6, 4, 3, 5, 1]], [[2, 4, 1, 3, 6, 5], [5, 3, 2, 4, 6, 1], [2, 6, 4, 3, 5, 1]], [[4, 1, 6, 5, 2, 3], [2, 6, 4, 3, 5, 1], [1, 5, 2, 6, 3, 4]], [[3, 5, 6, 1, 2, 4], [2, 3, 1, 5, 4, 6], [5, 4, 3, 6, 1, 2]]]}
75. plabel: 6T16-4.2_3.2.1_4.1.1
    {'BelyiDB_plabel': '6T16-[4,6,4]-42-321-411-g0', 'a_s': 4, 'abc': [4, 6, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[4, 2], [3, 2, 1], [4, 1, 1]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-4.2_3.2.1_4.1.1', 'primitivization': '6T16-4.2_3.2.1_4.1.1', 'triples': [[[2, 3, 4, 1, 6, 5], [3, 1, 2, 5, 4, 6], [5, 2, 3, 1, 6, 4]], [[2, 3, 4, 1, 6, 5], [5, 3, 2, 4, 6, 1], [4, 6, 3, 2, 5, 1]], [[2, 3, 4, 1, 6, 5], [6, 1, 4, 3, 5, 2], [3, 2, 6, 4, 1, 5]], [[2, 3, 4, 1, 6, 5], [6, 2, 4, 3, 1, 5], [3, 5, 2, 4, 1, 6]]]}
76. plabel: 6T16-4.2_4.1.1_4.1.1
    {'BelyiDB_plabel': '6T16-[4,4,4]-42-411-411-g0', 'a_s': 4, 'abc': [4, 4, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 4, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[4, 2], [4, 1, 1], [4, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T16-4.2_4.1.1_4.1.1', 'primitivization': '6T16-4.2_4.1.1_4.1.1', 'triples': [[[2, 3, 4, 1, 6, 5], [4, 2, 3, 5, 6, 1], [1, 6, 2, 3, 5, 4]], [[2, 3, 4, 1, 6, 5], [1, 5, 2, 3, 4, 6], [5, 1, 3, 4, 6, 2]]]}
77. plabel: 6T16-5.1_3.2.1_2.2.2
    {'BelyiDB_plabel': '6T16-[5,6,2]-51-321-222-g0', 'a_s': 2, 'abc': [5, 6, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[5, 1], [3, 2, 1], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T16-5.1_3.2.1_2.2.2', 'primitivization': '6T16-5.1_3.2.1_2.2.2', 'triples': [[[2, 3, 4, 5, 1, 6], [3, 2, 1, 5, 6, 4], [4, 3, 2, 1, 6, 5]]]}
78. plabel: 6T16-5.1_3.2.1_3.2.1
    {'BelyiDB_plabel': '6T16-[5,6,6]-51-321-321-g0', 'a_s': 5, 'abc': [5, 6, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[5, 1], [3, 2, 1], [3, 2, 1]], 'maxdegbf': 6, 'num_orbits': 2, 'pass_size': 7, 'plabel': '6T16-5.1_3.2.1_3.2.1', 'primitivization': '6T16-5.1_3.2.1_3.2.1', 'triples': [[[2, 6, 3, 1, 4, 5], [2, 3, 1, 5, 4, 6], [5, 3, 2, 4, 6, 1]], [[4, 2, 6, 5, 3, 1], [2, 3, 1, 5, 4, 6], [6, 1, 4, 3, 5, 2]], [[2, 5, 3, 6, 4, 1], [2, 3, 1, 5, 4, 6], [6, 3, 2, 4, 1, 5]], [[5, 6, 2, 4, 3, 1], [2, 3, 1, 5, 4, 6], [6, 2, 4, 5, 3, 1]], [[3, 6, 5, 4, 2, 1], [2, 3, 1, 5, 4, 6], [6, 4, 3, 5, 2, 1]], [[4, 1, 3, 6, 2, 5], [2, 3, 1, 5, 4, 6], [1, 4, 2, 3, 6, 5]], [[4, 6, 3, 5, 2, 1], [2, 3, 1, 5, 4, 6], [6, 4, 2, 3, 5, 1]]]}
79. plabel: 6T16-5.1_3.2.1_4.1.1
    {'BelyiDB_plabel': '6T16-[5,6,4]-51-321-411-g0', 'a_s': 4, 'abc': [5, 6, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[5, 1], [3, 2, 1], [4, 1, 1]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-5.1_3.2.1_4.1.1', 'primitivization': '6T16-5.1_3.2.1_4.1.1', 'triples': [[[3, 1, 5, 4, 6, 2], [4, 2, 6, 1, 3, 5], [2, 3, 4, 1, 5, 6]], [[5, 1, 3, 6, 4, 2], [5, 2, 6, 3, 1, 4], [2, 3, 4, 1, 5, 6]], [[4, 6, 3, 5, 2, 1], [1, 6, 5, 3, 4, 2], [2, 3, 4, 1, 5, 6]], [[3, 5, 2, 4, 6, 1], [4, 6, 3, 1, 2, 5], [2, 3, 4, 1, 5, 6]]]}
80. plabel: 6T16-6_2.2.1.1_3.2.1
    {'BelyiDB_plabel': '6T16-[6,2,6]-6-2211-321-g0', 'a_s': 2, 'abc': [6, 2, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [2, 2, 1, 1], [3, 2, 1]], 'maxdegbf': 3, 'num_orbits': 1, 'pass_size': 3, 'plabel': '6T16-6_2.2.1.1_3.2.1', 'primitivization': '6T16-6_2.2.1.1_3.2.1', 'triples': [[[3, 6, 4, 2, 1, 5], [2, 1, 4, 3, 5, 6], [5, 3, 2, 4, 6, 1]], [[6, 5, 1, 3, 4, 2], [2, 1, 4, 3, 5, 6], [4, 6, 3, 5, 1, 2]], [[6, 4, 5, 3, 1, 2], [2, 1, 4, 3, 5, 6], [5, 6, 3, 1, 4, 2]]]}
81. plabel: 6T16-6_3.1.1.1_4.1.1
    {'BelyiDB_plabel': '6T16-[6,3,4]-6-3111-411-g0', 'a_s': 3, 'abc': [6, 3, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [3, 1, 1, 1], [4, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T16-6_3.1.1.1_4.1.1', 'primitivization': '6T16-6_3.1.1.1_4.1.1', 'triples': [[[4, 1, 5, 3, 6, 2], [1, 2, 6, 4, 3, 5], [2, 3, 4, 1, 5, 6]]]}
82. plabel: 6T16-6_3.2.1_3.1.1.1
    {'BelyiDB_plabel': '6T16-[6,6,3]-6-321-3111-g0', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [3, 2, 1], [3, 1, 1, 1]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T16-6_3.2.1_3.1.1.1', 'primitivization': '6T16-6_3.2.1_3.1.1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [3, 1, 2, 5, 4, 6], [6, 2, 3, 1, 5, 4]], [[2, 3, 4, 5, 6, 1], [6, 2, 4, 3, 1, 5], [1, 5, 2, 4, 3, 6]]]}
83. plabel: 6T16-6_5.1_2.1.1.1.1
    {'BelyiDB_plabel': '6T16-[6,5,2]-6-51-21111-g0', 'a_s': 2, 'abc': [6, 5, 2], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [5, 1], [2, 1, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T16-6_5.1_2.1.1.1.1', 'primitivization': '6T16-6_5.1_2.1.1.1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [1, 6, 2, 3, 4, 5], [2, 1, 3, 4, 5, 6]]]}
84. plabel: 6T16-6_3.2.1_3.3
    {'BelyiDB_plabel': '6T16-[6,6,3]-6-321-33-g1', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [3, 2, 1], [3, 3]], 'maxdegbf': 2, 'num_orbits': 1, 'pass_size': 2, 'plabel': '6T16-6_3.2.1_3.3', 'primitivization': '6T16-6_3.2.1_3.3', 'triples': [[[2, 3, 4, 5, 6, 1], [3, 5, 1, 4, 6, 2], [5, 3, 6, 1, 4, 2]], [[2, 3, 4, 5, 6, 1], [3, 4, 1, 5, 2, 6], [6, 3, 5, 1, 2, 4]]]}
85. plabel: 6T16-6_4.1.1_4.2
    {'BelyiDB_plabel': '6T16-[6,4,4]-6-411-42-g1', 'a_s': 4, 'abc': [6, 4, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 4, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [4, 1, 1], [4, 2]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-6_4.1.1_4.2', 'primitivization': '6T16-6_4.1.1_4.2', 'triples': [[[3, 1, 4, 5, 6, 2], [3, 2, 6, 1, 5, 4], [2, 3, 4, 1, 6, 5]], [[2, 4, 5, 3, 6, 1], [2, 6, 1, 4, 5, 3], [2, 3, 4, 1, 6, 5]], [[3, 4, 2, 5, 6, 1], [2, 6, 3, 1, 5, 4], [2, 3, 4, 1, 6, 5]], [[5, 6, 2, 3, 4, 1], [5, 6, 3, 4, 2, 1], [2, 3, 4, 1, 6, 5]]]}
86. plabel: 6T16-6_4.1.1_5.1
    {'BelyiDB_plabel': '6T16-[6,4,5]-6-411-51-g1', 'a_s': 4, 'abc': [6, 4, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 5, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [4, 1, 1], [5, 1]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-6_4.1.1_5.1', 'primitivization': '6T16-6_4.1.1_5.1', 'triples': [[[2, 6, 1, 3, 4, 5], [2, 3, 4, 1, 5, 6], [2, 4, 3, 5, 6, 1]], [[5, 6, 1, 3, 2, 4], [2, 3, 4, 1, 5, 6], [2, 5, 3, 6, 4, 1]], [[3, 6, 2, 1, 4, 5], [2, 3, 4, 1, 5, 6], [3, 2, 4, 5, 6, 1]], [[5, 1, 6, 2, 3, 4], [2, 3, 4, 1, 5, 6], [1, 3, 5, 6, 4, 2]]]}
87. plabel: 6T16-6_4.2_3.2.1
    {'BelyiDB_plabel': '6T16-[6,4,6]-6-42-321-g1', 'a_s': 4, 'abc': [6, 4, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [4, 2], [3, 2, 1]], 'maxdegbf': 3, 'num_orbits': 1, 'pass_size': 3, 'plabel': '6T16-6_4.2_3.2.1', 'primitivization': '6T16-6_4.2_3.2.1', 'triples': [[[5, 3, 1, 2, 6, 4], [2, 3, 4, 1, 6, 5], [2, 3, 1, 5, 4, 6]], [[3, 6, 2, 5, 1, 4], [2, 3, 4, 1, 6, 5], [6, 2, 4, 5, 3, 1]], [[3, 1, 6, 5, 2, 4], [2, 3, 4, 1, 6, 5], [1, 6, 4, 5, 3, 2]]]}
88. plabel: 6T16-6_5.1_3.2.1
    {'BelyiDB_plabel': '6T16-[6,5,6]-6-51-321-g1', 'a_s': 5, 'abc': [6, 5, 6], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [5, 1], [3, 2, 1]], 'maxdegbf': 8, 'num_orbits': 1, 'pass_size': 8, 'plabel': '6T16-6_5.1_3.2.1', 'primitivization': '6T16-6_5.1_3.2.1', 'triples': [[[2, 3, 6, 1, 4, 5], [2, 3, 4, 5, 1, 6], [3, 5, 1, 4, 6, 2]], [[4, 6, 2, 5, 3, 1], [2, 3, 4, 5, 1, 6], [6, 2, 4, 5, 3, 1]], [[6, 3, 5, 1, 4, 2], [2, 3, 4, 5, 1, 6], [3, 6, 1, 4, 2, 5]], [[4, 1, 6, 5, 3, 2], [2, 3, 4, 5, 1, 6], [1, 6, 4, 5, 3, 2]], [[4, 6, 5, 3, 2, 1], [2, 3, 4, 5, 1, 6], [6, 4, 3, 5, 2, 1]], [[3, 5, 2, 1, 6, 4], [2, 3, 4, 5, 1, 6], [3, 2, 5, 6, 1, 4]], [[6, 4, 5, 3, 1, 2], [2, 3, 4, 5, 1, 6], [4, 6, 3, 1, 2, 5]], [[5, 3, 4, 1, 6, 2], [2, 3, 4, 5, 1, 6], [3, 6, 1, 2, 5, 4]]]}
89. plabel: 6T16-6_6_3.1.1.1
    {'BelyiDB_plabel': '6T16-[6,6,3]-6-6-3111-g1', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [6], [3, 1, 1, 1]], 'maxdegbf': 3, 'num_orbits': 1, 'pass_size': 3, 'plabel': '6T16-6_6_3.1.1.1', 'primitivization': '6T16-6_6_3.1.1.1', 'triples': [[[2, 3, 4, 5, 6, 1], [5, 1, 2, 6, 4, 3], [4, 2, 3, 6, 5, 1]], [[2, 3, 4, 5, 6, 1], [5, 1, 6, 3, 4, 2], [3, 2, 6, 4, 5, 1]], [[2, 3, 4, 5, 6, 1], [6, 1, 4, 2, 3, 5], [1, 2, 4, 5, 3, 6]]]}
90. plabel: 6T16-6_6_4.2
    {'BelyiDB_plabel': '6T16-[6,6,4]-6-6-42-g2', 'a_s': 4, 'abc': [6, 6, 4], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [6], [4, 2]], 'maxdegbf': 4, 'num_orbits': 1, 'pass_size': 4, 'plabel': '6T16-6_6_4.2', 'primitivization': '6T16-6_6_4.2', 'triples': [[[6, 3, 4, 5, 1, 2], [3, 5, 6, 2, 1, 4], [2, 3, 4, 1, 6, 5]], [[3, 6, 4, 5, 2, 1], [3, 6, 5, 1, 2, 4], [2, 3, 4, 1, 6, 5]], [[3, 6, 5, 2, 4, 1], [5, 6, 4, 1, 2, 3], [2, 3, 4, 1, 6, 5]], [[2, 4, 6, 5, 3, 1], [2, 6, 1, 5, 3, 4], [2, 3, 4, 1, 6, 5]]]}
91. plabel: 6T16-6_6_5.1
    {'BelyiDB_plabel': '6T16-[6,6,5]-6-6-51-g2', 'a_s': 5, 'abc': [6, 6, 5], 'aut_group': [[1, 2, 3, 4, 5, 6]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T16', 'is_primitive': True, 'lambdas': [[6], [6], [5, 1]], 'maxdegbf': 6, 'num_orbits': 2, 'pass_size': 7, 'plabel': '6T16-6_6_5.1', 'primitivization': '6T16-6_6_5.1', 'triples': [[[2, 3, 4, 5, 6, 1], [4, 6, 1, 2, 3, 5], [2, 3, 4, 5, 1, 6]], [[3, 5, 4, 2, 6, 1], [2, 6, 4, 1, 3, 5], [2, 3, 4, 5, 1, 6]], [[4, 3, 5, 2, 6, 1], [3, 6, 4, 2, 1, 5], [2, 3, 4, 5, 1, 6]], [[2, 4, 1, 5, 6, 3], [4, 3, 1, 6, 2, 5], [2, 3, 4, 5, 1, 6]], [[3, 4, 5, 1, 6, 2], [3, 4, 6, 1, 2, 5], [2, 3, 4, 5, 1, 6]], [[2, 4, 6, 5, 3, 1], [4, 6, 1, 5, 2, 3], [2, 3, 4, 5, 1, 6]], [[4, 5, 1, 2, 6, 3], [2, 3, 4, 6, 1, 5], [2, 3, 4, 5, 1, 6]]]}
92. plabel: 6T2-3.3_2.2.2_2.2.2
    {'BelyiDB_plabel': '6T2-[3,2,2]-33-222-222-g0', 'a_s': 2, 'abc': [3, 2, 2], 'aut_group': [[5, 4, 1, 6, 3, 2], [4, 5, 6, 1, 2, 3]], 'b_s': 2, 'c_s': 3, 'deg': 6, 'g': 0, 'geomtype': 'S', 'group': '6T2', 'is_primitive': False, 'lambdas': [[3, 3], [2, 2, 2], [2, 2, 2]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T2-3.3_2.2.2_2.2.2', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[3, 4, 5, 6, 1, 2], [2, 1, 6, 5, 4, 3], [4, 3, 2, 1, 6, 5]]]}
93. plabel: 6T3-6_2.2.2_2.2.1.1
    {'BelyiDB_plabel': '6T3-[6,2,2]-6-222-2211-g0', 'a_s': 2, 'abc': [6, 2, 2], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 2, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'S', 'group': '6T3', 'is_primitive': False, 'lambdas': [[6], [2, 2, 2], [2, 2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T3-6_2.2.2_2.2.1.1', 'primitivization': '3T2-3_2.1_2.1', 'triples': [[[2, 3, 4, 5, 6, 1], [4, 3, 2, 1, 6, 5], [5, 4, 3, 2, 1, 6]]]}
94. plabel: 6T4-3.3_3.3_2.2.1.1
    {'BelyiDB_plabel': '6T4-[3,3,2]-33-33-2211-g0', 'a_s': 2, 'abc': [3, 3, 2], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 3, 'c_s': 3, 'deg': 6, 'g': 0, 'geomtype': 'S', 'group': '6T4', 'is_primitive': False, 'lambdas': [[3, 3], [3, 3], [2, 2, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T4-3.3_3.3_2.2.1.1', 'primitivization': '3T1-3_3_1.1.1', 'triples': [[[3, 4, 5, 6, 1, 2], [2, 6, 4, 5, 3, 1], [4, 2, 6, 1, 5, 3]]]}
95. plabel: 6T4-3.3_3.3_3.3
    {'BelyiDB_plabel': '6T4-[3,3,3]-33-33-33-g1', 'a_s': 3, 'abc': [3, 3, 3], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 3, 'c_s': 3, 'deg': 6, 'g': 1, 'geomtype': 'E', 'group': '6T4', 'is_primitive': False, 'lambdas': [[3, 3], [3, 3], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T4-3.3_3.3_3.3', 'primitivization': '3T1-3_3_3', 'triples': [[[3, 4, 5, 6, 1, 2], [6, 4, 2, 3, 1, 5], [6, 1, 5, 3, 4, 2]]]}
96. plabel: 6T5-6_2.2.2_3.1.1.1
    {'BelyiDB_plabel': '6T5-[6,2,3]-6-222-3111-g0', 'a_s': 2, 'abc': [6, 2, 3], 'aut_group': [[5, 6, 1, 2, 3, 4]], 'b_s': 3, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'E', 'group': '6T5', 'is_primitive': False, 'lambdas': [[6], [2, 2, 2], [3, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T5-6_2.2.2_3.1.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[4, 3, 6, 5, 2, 1], [4, 5, 6, 1, 2, 3], [3, 2, 5, 4, 1, 6]]]}
97. plabel: 6T5-6_6_3.1.1.1
    {'BelyiDB_plabel': '6T5-[6,6,3]-6-6-3111-g1', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[5, 6, 1, 2, 3, 4]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 1, 'geomtype': 'H', 'group': '6T5', 'is_primitive': False, 'lambdas': [[6], [6], [3, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T5-6_6_3.1.1.1', 'primitivization': '2T1-2_2_1.1', 'triples': [[[6, 5, 2, 1, 4, 3], [2, 3, 4, 5, 6, 1], [3, 2, 5, 4, 1, 6]]]}
98. plabel: 6T5-6_6_3.3
    {'BelyiDB_plabel': '6T5-[6,6,3]-6-6-33-g2', 'a_s': 3, 'abc': [6, 6, 3], 'aut_group': [[5, 6, 1, 2, 3, 4]], 'b_s': 6, 'c_s': 6, 'deg': 6, 'g': 2, 'geomtype': 'H', 'group': '6T5', 'is_primitive': False, 'lambdas': [[6], [6], [3, 3]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T5-6_6_3.3', 'primitivization': '2T1-2_2_1.1', 'triples': [[[6, 5, 2, 1, 4, 3], [6, 1, 2, 3, 4, 5], [5, 4, 1, 6, 3, 2]]]}
99. plabel: 6T6-6_3.3_2.1.1.1.1
    {'BelyiDB_plabel': '6T6-[6,3,2]-6-33-21111-g0', 'a_s': 2, 'abc': [6, 3, 2], 'aut_group': [[4, 5, 6, 1, 2, 3]], 'b_s': 3, 'c_s': 6, 'deg': 6, 'g': 0, 'geomtype': 'E', 'group': '6T6', 'is_primitive': False, 'lambdas': [[6], [3, 3], [2, 1, 1, 1, 1]], 'maxdegbf': 1, 'num_orbits': 1, 'pass_size': 1, 'plabel': '6T6-6_3.3_2.1.1.1.1', 'primitivization': '3T1-3_3_1.1.1', 'triples': [[[6, 4, 5, 3, 1, 2], [2, 6, 4, 5, 3, 1], [4, 2, 3, 1, 5, 6]]]}