{"k": 2, "H": {"log2_order": 3, "d": 2, "log2_abelianization": 2}, "Q": {"log2_order": 3, "d": 2, "log2_abelianization": 2}, "P": {"log2_order": 3, "d": 2, "log2_abelianization": 2}, "I": {"log2_order": 4, "d": 3, "log2_abelianization": 3}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 2, "I (3k-2)": 4}}
{"k": 3, "H": {"log2_order": 5, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 5, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 5, "d": 2, "log2_abelianization": 3}, "I": {"log2_order": 7, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 5, "I (3k-2)": 7}}
{"k": 4, "H": {"log2_order": 8, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 8, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 8, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 10, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 8, "I (3k-2)": 10}}
{"k": 5, "H": {"log2_order": 11, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 11, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 11, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 13, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 11, "I (3k-2)": 13}}
{"k": 6, "H": {"log2_order": 14, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 14, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 14, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 16, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 14, "I (3k-2)": 16}}
{"k": 7, "H": {"log2_order": 17, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 17, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 17, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 19, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 17, "I (3k-2)": 19}}
{"k": 8, "H": {"log2_order": 20, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 20, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 20, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 22, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 20, "I (3k-2)": 22}}
{"k": 9, "H": {"log2_order": 23, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 23, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 23, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 25, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 23, "I (3k-2)": 25}}
{"k": 10, "H": {"log2_order": 26, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 26, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 26, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 28, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 26, "I (3k-2)": 28}}
{"k": 11, "H": {"log2_order": 29, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 29, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 29, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 31, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 29, "I (3k-2)": 31}}
{"k": 12, "H": {"log2_order": 32, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 32, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 32, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 34, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 32, "I (3k-2)": 34}}
{"k": 16, "H": {"log2_order": 44, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 44, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 44, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 46, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 44, "I (3k-2)": 46}}
{"k": 20, "H": {"log2_order": 56, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 56, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 56, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 58, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 56, "I (3k-2)": 58}}
{"k": 24, "H": {"log2_order": 68, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 68, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 68, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 70, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 68, "I (3k-2)": 70}}
{"k": 32, "H": {"log2_order": 92, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 92, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 92, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 94, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 92, "I (3k-2)": 94}}
{"k": 40, "H": {"log2_order": 116, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 116, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 116, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 118, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 116, "I (3k-2)": 118}}
{"k": 48, "H": {"log2_order": 140, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 140, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 140, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 142, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 140, "I (3k-2)": 142}}
{"k": 64, "H": {"log2_order": 188, "d": 3, "log2_abelianization": 3}, "Q": {"log2_order": 188, "d": 3, "log2_abelianization": 3}, "P": {"log2_order": 188, "d": 2, "log2_abelianization": 4}, "I": {"log2_order": 190, "d": 4, "log2_abelianization": 4}, "H_gens_in_Q": true, "Q_gens_in_Q": true, "P_gens_in_P": true, "Q_gens_in_H": true, "H_gens_in_Qgroup": true, "expected_log2": {"Q,P (3k-4)": 188, "I (3k-2)": 190}}
