SUPPLEMENTARY INFORMATION I. Character list 1. Eye lens. 0 = absent (0); 1 = present. 2. Ribbon-shaped synaptic organelles in retina. 0 = absent; 1 = present. 3. Tabular muscles in `tongue' musculature. 0 = absent; 1 = present. 4. Lateral-line neuromasts. 0 = absent; 1 = present. 5. Nerve control of heart. 0 = absent; 1 = present. 6. Heart response to catecholamine. 0 = absent; 1 = present. 7. Blood system. 0 = open; 1 = close. 8. Spleen. 0 = absent; 1 = present. 9. Concentrated exocrine pancreas. 0 = absent; 1 = present. 10. Typhlosole in intestine. 0 = absent; 1 = present. 11. Larval stage. 0 = present; 1 = absent. 12. Compartmentalized adenohypophysis. 0 = absent; 1 = present. 13. Pituitary control of melanophores. 0 = absent; 1 = present. 14. Kidney tubules with glomerulae. 0 = absent; 1 = present. 15. Osmoregulation. 0 = absent; 1 = present. 16. Granulocytes and neutrophils. 0 = absent; 1 = present. 17. Two types of giant Mauthner cells in the central nervous system. 0 = absent; 1 = present. 18. Electroreceptive cells. 0 = absent; 1 = present. 19. Sperm. 0 = not shed through coelomic cavity; 1 = shed through coelomic cavity. 20. Cartilaginous copula. 0 = absent; 1 = present. 21. Pancreas. 0 = absent; 1 = present. 22. Differentiated adenohypophysis. 0 = absent; 1 = present. 23. Skull. 0 = absent; 1 = present. 24. Cartilaginous or calcified braincase (neurocranium). 0 = absent; 1 = present. 25. Dorsally closed cartilaginous or calcified braincase (neurocranium). 0 = absent; 1 = present. 26. Olfactory organ. 0 = absent; 1 = present. 27. Terminal nasohypophysial opening (inhalant or not). 0 = absent; 1 = present. 28. Dorsal nasohypophysial opening (inhalant or not). 0 = absent; 1 = present. 29. Optic capsules (exclusive of the lens): absent (0), present (1). 30. Transversely biting teeth. 0 = absent; 1 = present. 31. Heart. 0 = absent; 1 = present. 32. Closed pericardium. 0 = absent; 1 = present. 33. Trunk and tail musculature with chevron-shaped muscle blocks. 0 = absent; 1 = present. 34. Zigmoid myomeres. 0 = absent; 1 = present. 35. Radials in fin. 0 = absent; 1 = present. 36. Numerous and closely set radials in unpaired fin. 0 = absent; 1 = present. 1 37. Radial muscles in fin. 0 = absent; 1 = present. 38. Dorsal fin. 0 = absent; 1 = present. 39. Separate dorsal fin. 0 = absent; 1 = present. 40. Preanal fin persisting in adult. 0 = absent; 1 = present. 41. Anal fin. 0 = absent; 1 = present. 42. Caudal fin with internal support. 0 = absent; 1 = present. 43. Tail. 0 = isoceral; 1 = hypoceral; 2 = epiceral. 44. Paired fin folds or fins. 0 = absent; 1 = present. 45. Paired fin folds or fins concentrated in the pectoral or epibranchial regions. 0 = absent; 1 = present. 46. Muscles in paired fins. 0 = absent; 1 = present. 47. Arcualia. 0 = absent; 1 = present. 48. Gill openings arranged in posteriorly slanting line. 0 = absent; 1 = present. 49. Number of gill units. 0 = more than ten; 1 = less than ten. 50. Olfactory tract. 0 = absent; 1 = present. 51. Olfactory organ unpaired or with closely set and confluent nasal sacs. 0 = absent; 1 = present. 52. Olfactory organ paired with entirely separated nasal sacs. 0 = absent; 1 = present. 53. Nasohypophysial duct serving branchial respiration. 0 = absent; 1 = present. 54. Nasohypophysial duct posteriorly closed and serving only as a common "nostril". 0 = absent; 1 = present. 55. Extrinsic eye muscles. 0 = absent; 1 = present. 56. Photosensory pineal organ (or pineal foramen). 0 = absent; 1 = present. 57. Semicircular canals. 0 = absent; 1 = present. 58. Single semicircular canal. 0 = absent; 1 = present. 59. Two vertical semicircular canals. 0 = absent; 1 = present. 60. Two vertical semicircular canals forming distinct loops. 0 = absent; 1 = present. 61. Lateral lines enclosed in canals. 0 = absent; 1 = present. 62. Lateral-line grooves or canals. 0 = absent; 1 = present on head (1); 2 = present on head and body.(ORDERED) 63. Neuromasts. 0 = absent; 1 = isolated; 2 = in grooves; 3 = in tubes. (ORDERED) 64. Cerebellum. 0 = absent; 1 = present. 65. Large and paired cerebellum. 0 = absent; 1 = present. 66. Vagus and glossopharyngeus nerves included in occipital region. 0 = absent; 1 = present. 67. Closely set atrium and ventricle. 0 = absent; 1 = present. 68. Large dorsal jugular vein. 0 = absent; 1 = present. 69. Subaponeurotic vascular system. 0 = absent; 1 = present. 70. Calcified cartilage. 0 = absent; 1 = present. 71. Perichondral bone. 0 = absent; 1 = present. 72. Endoskeletal cranial roof. 0 = absent; 1 = present. 2 73. Occiput enclosing IX and X. 0 = absent; 1 = present. 74. Head endoskeleton expanded into a massive shield covering the gills. 0 = absent; 1 = present. 75. Endoskeletal scleral ossification or calcification. 0 = absent; 1 = present. 76. Orthodentine or metadentine. 0 = absent; 1 = present. 77. Mesodentine. 0 = absent; 1 = present. 78. Enameloid or enamel. 0 = absent; 1 = present. 79. Dermal skeleton. 0 = absent; 1 = present. 80. Acellular dermal bone. 0 = absent; 1 = present. 81. Cellular dermal bone. 0 = absent; 1 = present. 82. Honeycomb-like middle layer of exoskeleton. 0 = absent; 1 = present. 83. Three-layered dermal skeleton. 0 = absent; 1 = present. 84. Oakleaf-shaped tubercles or odontodes in ornamentation. 0 = absent; 1 = present. 85. Large median dorsal and ventral dermal shields in head. 0 = absent; 1 = present. 86. External opening of endolymphatic duct. 0 = absent; 1 = present. 87. Opercular flaps on external branchial openings. 0 = absent; 1 = present. 88. Preanal skin fold or scale ridge. 0 = absent; 1 = present. 89. Sclerotic ring. 0 = absent; 1 = present. 90. Scales made up by a single odontodes (microsquamose). 0 = absent; 1 = present. 91. Scales made up by several odontodes (macrosquamose) and diamond-shaped. 0 = absent; 1 = present. 92. Scales made up by several odontodes (macrosquamose) and rod-shaped. 0 = absent; 1 = present. 93. Pharyngeal dermal denticles. 0 = absent; 1 = present. 94. Elongate oral plate. 0 = absent; 1 = present. 95. Scales. 0 = absent; 1 = non-overlapping; 2 = overlapping. (ORDERED) 96. Head armour differentiated from trunk armour. 0 = absent; 1 = present. 97. Dorsal/ventral growing plates. 0 = absent; 1 = present. 98. Dorsal/ventral scutes. 0 = absent; 1 = present. 99. Scale-covered zones on tail. 0 = absent; 1 = present. 100. Horny teeth. 0 = absent; 1 = present. 101. Piston cartilage. 0 = absent; 1 = present. 102. Dentigerous cartilage. 0 = absent; 1 = present. 103. Tentacles strengthened by cartilage. 0 = absent; 1 = present. 104. Sucking disc with an annular cartilage around mouth. 0 = absent; 1 = present. 105. Mouth ventral. 0 = absent; 1 = present. 106. Tongue protractor/retractor musculature. 0 = absent; 1 = present. 107. Pouch-shaped gill. 0 = absent; 1 = present. 108. Trematic rings. 0 = absent; 1 = present. 109. Gill arterial supply. 0 = absent; 1 = pretrematic; 2 = pre- and post-trematic. 3 110. Gills ventral. 0 = absent; 1 = present. 111. Gills transversely elongated. 0 = absent; 1 = present. 112. Gills crowded posteriorly. 0 = absent; 1 = present. 113. Branchial basket. 0 = absent; 1 = present. 114. Visceral skeleton attached to head. 0 = absent; 1 = present. 115. Optic tectum. 0 = absent; 1 = present. 116. Eye dorsal. 0 = absent; 1 = present. 4 II. Data set with 116 characters for 16 taxa. Note: a majority of characters are compiled from Forey (1995) and Janvier (1996). 0 = plesiomorphic state; 1, 2,3 = apomorphic states; ? = unavailable characters or logical impossibility; (01) = polymorphic states (0 and 1). II. Data set with 116 characters for 16 taxa. Note: a majority of characters are compiled from Forey (1995) and Janvier (1996). 0 = plesiomorphic state; 1, 2,3 = apomorphic states; ? = unavailable characters or logical impossibility; (01) = polymorphic states (0 and 1). --------------------------------------------------------------------------------------------- ---------1 1111111112 2222222223 3333333334 1234567890 1234567890 1234567890 1234567890 -------------------------------------------------------------------------------------------------------anaspids ?????????? ?????????? ??1??1011? ??1110?000 arandaspids ?????????? ?????????? ??1??1?01? ??1?????00 astraspids ?????????? ?????????? ??1????01? ???????000 cephalochordes 0000000000 0000000000 0000000000 0010000001 galeaspids ???1?????? ?????????? ??1111011? ??1?100?00 gnathostomes 1101111111 0111111100 1111110010 1111111110 hagfishes 0010000000 1000000011 0010011011 1011100001 Haikouichthys ?????????? ?????????? ?????????? 1?1111?1?0 Heterostracans ???1?????? ?????????? ??1??1?01? ??1110?000 Jamoytius ?????????? ?????????? ??1?????1? ??1?11?1?0 Lampreys 1111111111 1111111111 1111010111 1111111110 Myllokunmingia ?????????? ?????????? ?????????? 1?110001?0 Osteostracans ???1?????? ?????????? ??1111011? 1111111110 pituriaspids ?????????? ?????????? ??1111??1? ??????1??0 thelodonts ???1?????? ?????????? ??1??1101? ???110?110 tunicates 0000000001 0000000000 0000000000 0000000000 ----------------------------------------------------------------------------4444444445 5555555556 6666666667 7777777778 1234567890 1234567890 1234567890 1234567890 ----------------------------------------------------------------------------anaspids 1111?0?10? ?????1???? 02???????? 0??0000011 arandaspids 0??000?10? ?????1???? 022??????? ????100011 astraspids 0??000?01? ?????0???? 0?2??????? ?????00111 cephalochordes 0000000000 0000000000 0000000000 0000000000 Galeaspids ?1?000?011 0110111011 123111?11? 1111000111 gnathostomes 1121111011 0101111011 1231111111 1100111110 5 hagfishes 0100000000 1010001100 0100000000 0000000000 Haikouichthys ???100?01? ?????????? ?????????0 0??0000000 heterostracans 0110001011 01??011011 12311???10 0???010011 Jamoytius 1111?0??0? ?????????? ?????????0 0??0000000 lampreys 0110001110 1001111010 0011001111 0100000000 Myllokunmingia 0??100001? ?????????? ?????????0 0??0000000 osteostracans 012111101? 1001111011 1231111111 1111101110 pituriaspids ???111?0?? ?????????? ???11????? 11?1????1? thelodonts 11111??01? 01?0?????? 123??????0 0??00(01)(01)011 tunicates 0000000000 0000000000 0000000000 0000000000 -----------------------------------------------------------------------------------------------1 1111111111 111111 8888888889 9999999990 0000000001 111111 1234567890 1234567890 1234567890 123456 ------------------------------------------------------------------------------------------------anaspids 00000?0100 010010011? ??00001??0 ?0???1 arandaspids 0111100010 01011110?? ??00001??0 ?00??0 astraspids 00101000?0 10?02001?? ????0?1??0 10???0 cephalochordes 0000000000 0000000000 0000000000 000000 galeaspids 0000010101 00?021101? ??001?1??1 100110 gnathostomes 1010011111 1010210000 0000000020 000010 hagfishes 0000000000 0000000001 0110011110 000100 Haikouichthys 00000???00 000000000? ??0?0????0 001??? heterostracans 0111100000 100121111? ??00001??0 100??0 Jamoytius 00000???00 0000000000 ??010?11?0 ?01??0 lampreys 0000000100 0000000001 1101011120 001110 Myllokunmingia 00000???00 000000000? ??0?0?1??0 000??? osteostracans 1010011110 100011010? ??00101?21 100111 pituriaspids ???00??1?? ???0?10??? ??000?1??1 ?????1 thelodonts 00000?1?01 001020001? ??0?0?1??0 10???0 tunicates 0000000000 0000000000 0000000000 000000 III. Clades & supporting characters in Fig.3b. The category "uniquely shared derived characters" lists all characters with a C.I. equal to 1. Node Node 1 Uniquely shared derived characters 23, 26, 29, 31, 34, 42, 57, 109(1) Node 2 1, 2, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 21, 22, 24, 32, 43(1), 59, 64, 67, 68, 69, 72, 109(2), 115 Reversals 6 Homoplasies 3, 11, 19, 20, 30, 35, 51, 62(1), 102, 106, 107, 108, 114 10, 28, 38, 39, 44, 49, 55, 56, 63(1), 88 Node 3 Node 4 Node 5 Node 6 Node 7 Node 8 Node 9 Node 10 Node 11 Node 12 Node 13 47 101, 104, 113 25, 50, 60, 65, 66, 79 85 82, 84, 94 86 43(2), 71 46, 77, 81 62 3, 11, 19, 20, 30, 51, 102, 106, 108 38, 39, 55 28, 41, 44, 88 80, 99 41, 52, 90, 93, 95(1) 7 37, 41 36, 54 48 52, 62(2), 63(2), 73, 80, 95(2), 99, 111 98 83, 91 96, 97 45, 61, 63(3), 87, 90, 93 70, 74, 78, 96, 110 36, 54, 75, 83, 89, 91 51, 98, 116