Persistent laminations from Seifert surfaces

This page gives the current results of a search for knots from the standard tables which can be built by the construction found in the paper "Persistent laminations from Seifert surfaces". Currently just over 45 percent (i.e., 116) of the (250) prime knots with ten or fewer crossings can be so constructed. You can download a zip file containing illustrative projections of these knots, in a form readable by SnapPea.

How to read this table:

Knots that are in bold red can be built by the construction. Knots in italic green cannot be built (they are torus knots). The knots in roman black are still unknown.

3_1 4_1 5_1 5_2
6_1 6_2 6_3 7_1 7_2 7_3 7_4 7_5 7_6 7_7
8_1 8_2 8_3 8_4 8_5 8_6 8_7 8_8 8_9 8_10
8_11 8_12 8_13 8_14 8_15 8_16 8_17 8_18 8_19 8_20 8_21
9_1 9_2 9_3 9_4 9_5 9_6 9_7 9_8 9_9 9_10
9_11 9_12 9_13 9_14 9_15 9_16 9_17 9_18 9_19 9_20
9_21 9_22 9_23 9_24 9_25 9_26 9_27 9_28 9_29 9_30
9_31 9_32 9_33 9_34 9_35 9_36 9_37 9_38 9_39 9_40
9_41 9_42 9_43 9_44 9_45 9_46 9_47 9_48 9_49
10_1 10_2 10_3 10_4 10_5 10_6 10_7 10_8 10_9 10_10
10_11 10_12 10_13 10_14 10_15 10_16 10_17 10_18 10_19 10_20
10_21 10_22 10_23 10_24 10_25 10_26 10_27 10_28 10_29 10_30
10_31 10_32 10_33 10_34 10_35 10_36 10_37 10_38 10_39 10_40
10_41 10_42 10_43 10_44 10_45 10_46 10_47 10_48 10_49 10_50
10_51 10_52 10_53 10_54 10_55 10_56 10_57 10_58 10_59 10_60
10_61 10_62 10_63 10_64 10_65 10_66 10_67 10_68 10_69 10_70
10_71 10_72 10_73 10_74 10_75 10_76 10_77 10_78 10_79 10_80
10_81 10_82 10_83 10_84 10_85 10_86 10_87 10_88 10_89 10_90
10_91 10_92 10_93 10_94 10_95 10_96 10_97 10_98 10_99 10_100
10_101 10_102 10_103 10_104 10_105 10_106 10_107 10_108 10_109 10_110
10_111 10_112 10_113 10_114 10_115 10_116 10_117 10_118 10_119 10_120
10_121 10_122 10_123 10_124 10_125 10_126 10_127 10_128 10_129 10_130
10_131 10_132 10_133 10_134 10_135 10_136 10_137 10_138 10_139 10_140
10_141 10_142 10_143 10_144 10_145 10_146 10_147 10_148 10_149 10_150
10_151 10_152 10_153 10_154 10_155 10_156 10_157 10_158 10_159 10_160
10_161 10_162 10_163 10_164 10_165 10_166