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Knots in Braid notation

Non-alternating 11-Crossing Knots

The knots page explains the above terms and the notation used in the table.


Number    Conway         b Braid notation
11(C1)    42,3,2-        4 5:AbbbCBBabCdcBcbD
11(C2)    42,21,2-       5 6:abcDDDcBAdeDCbcdEDcBdCe
11(C3)    411,3,2-       = 5:aBcdCbCBADcbcccb
11(C4)    411,21,2-      = 5:ABCCBBaDcbCdCBDc
11(C5)    312,3,2-       3 4:AbbbCbabbbCBB
11(C6)    312,21,2-      4 5:abCCCbAcdddCBcBd
11(C7)    3111,3,2-      = 4:abcccbABBBcBc
11(C8)    3111,21,2-     = 4:AbCbABBACCC
11(C9)    24,3,2-        4 5:ABcDcbacccbCdCBDCC
11(C10)   24,21,2-       5 6:aBcdCbCBAbDEdCCCbcdCe
11(C11)   231,3,2-       = 5:abcdddcBACbcDcBdCd
11(C12)   231,21,2-      = 5:AbCbaDcBCCBBDc
11(C13)   213,3,2-       = 4:abcccbABcBccc
11(C14)   213,21,2-      = 4:AbCbbbABBAC
11(C15)   2121,3,2-      = 4:AbCbaCCbbbCBB
11(C16)   2121,21,2-     4 5:aBCdCCCBBAbcbd
11(C17)   2112,3,2-      = 4:abcccbABBcBcc
11(C18)   2112,21,2-     = 4:AbCbbABBACC
11(C19)   21111,3,2-     = 4:AbbCbaCbbbCBB
11(C20)   21111,21,2-    4 5:aBCdCCBBAbcbdd
11(C21)   5,22,2-        = 4:abCbAbbbbbCBB
11(C22)   5,211,2-       = 4:abCbaCbbbbb
11(C23)   41,22,2-       4 5:aBCCCCdCBAcdCbcb
11(C24)   41,211,2-      = 4:aBCCBBBBABcBc
11(C25)   32,22,2-       4 5:abCbAbDcBcbbdCBB
11(C26)   32,211,2-      = 5:AbCbaccdcBcBdc
11(C27)   311,22,2-      5 6:AbCdCBaDDcbCCDedcBcdE
11(C28)   311,211,2-     = 5:aBCCdCbCBBABDcBc
11(C29)   23,22,2-       4 6:AbCDcbaCedcbCCdEDcBCC
11(C30)   23,211,2-      = 5:aBcBAcdCbCBDCCBB
11(C31)   221,22,2-      = 5:abCbAbDccBcbdCBB
11(C32)   221,211,2-     = 5:AbbCbacdcBcBdc
11(C33)   5,3,21-        5 6:ABCDeddcbaDDcDeDCbEdcDDEdCB
11(C34)   41,3,3-        5 6:abCbAcdCbCBDEDCbCdcBe
11(C35)   41,21,21-      5 6:abCbAcdcBcbDEDcBcdcBe
11(C36)   32,3,21-       4 5:ABcDcbacDCCCCbCCDcBd
11(C37)   311,3,3-       4 5:ABCdCbacccDcbCdCBD
11(C38)   311,21,21-     4 5:ABcDcbacccDcbcDcBd
11(C39)   23,3,3-        5 6:ABCDeDcbadcDeDCbEdcDDEdCB
11(C40)   23,21,21-      5 6:ABCDeddcbadcDeDCbEdcdEdCB
11(C41)   221,3,21-      5 6:aBcdCCBcbDEDcBAcBdcBe
11(C42)   212,3,3-       = 4:abcccbbABcBcc
11(C43)   212,3,21-      = 4:AbbCbabbbCBBB
11(C44)   212,21,21-     = 4:AbCbbABBBAC
11(C45)   2111,3,3-      = 4:abcccbbABBcBc
11(C46)   2111,3,21-     = 4:AbCbaCbbbCBBB
11(C47)   2111,21,21-    = 4:AbCbABBBACC
11(C48)   4,22,3-        5 6:aBCdCbCBADcEdCBcdccBe
11(C49)   4,22,21-       3 4:abCbAbbbbCBBB
11(C50)   4,211,3-       = 4:aabbbbabCbC
11(C51)   4,211,21-      = 5:aBcBAcdCbCBDCCCB
11(C52)   31,22,3-       4 5:aBCBBBAcdCBcdccB
11(C53)   31,22,21-      = 5:abCbAbDcBcbdCBBB
11(C54)   31,211,3-      = 5:AbCbacdcBcBddc
11(C55)   31,211,21-     = 4:aBCCCBBBABcBc
11(C56)   22,22,21-      4 5:ABcDcbacbCDcBBBDCCCd
11(C57)   22,211,3-      4 5:AbbCbaBcBCDDcD
11(C58)   211,211,21-    4 5:ABcDcbaccDcbccDcBd
11(C59)   3,3,3,2-       = 4:ABBcbbbabbbCbbb
11(C60)   3,3,21,2-      = 4:aBcccBBAbcccb
11(C61)   3,21,3,2-      = 4:abbbaCCbbbC
11(C62)   3,21,21,2-     = 4:ABBcccBaBCCBB
11(C63)   21,3,21,2-     = 4:AbbbACBBACC
11(C64)   21,21,21,2-    4 5:abCDDDCCBACCBcdcbC
11(C65)   3,3,3,2--      = 4:abcccbbAbcccb
11(C66)   3,3,21,2--     = 4:ABBcBBBabbbCbbb
11(C67)   3,21,3,2--     = 4:ABBcccBabCCbb
11(C68)   (22,2)(3,2-)   4 5:abbcccDcBABcdCCB
11(C69)   (22,2)(21,2-)  5 6:abCdedCCBAcBCdCbEdc
11(C70)   (211,2)(3,2-)  = 4:AbCbaCbbbCCBB
11(C71)   (211,2)(21,2-) 4 5:abCCCbAcdCBcdCBcBB
11(C72)   (3,21)(3,2-)   = 5:abcDcBABdCdCbcdddc
11(C73)   (3,21)(21,2-)  = 5:AbCbaDcBDCCBBc
11(C74)   (3,2+)(3,2-)   3 4:aaaBAAcBBBc
11(C75)   (3,2+)(21,2-)  4 5:abcDDDcBADCCBcdcbC
11(C76)   (21,2+)(3,2-)  3 4:AbbCCbabbbCBB
11(C77)   (21,2+)(21,2-) 4 5:aBCCdCBBAbcbdd
11(C78)   (22,2-)(3,2)   4 5:abbcccDCBABCdccB
11(C79)   (22,2-)(21,2)  4 6:abCDedCCBACBCdCbEDC
11(C80)   (211,2-)(3,2)  = 4:AbCbaCbbbccbb
11(C81)   (211,2-)(21,2) = 5:aBCCCBAcdCBcdCBcbb
11(C82)   (3,3-)(3,2)    4 5:abcDcBABdcDcbCdddC
11(C83)   (3,3-)(21,2)   4 5:AbCbadCBdccBBc
11(C84)   (21,21-)(3,2)  4 5:abCdCBABDCdCbCdddC
11(C85)   (21,21-)(21,2) 4 5:ABccBBaDcBDcBC
11(C86)   (22,2)-(3,2)   = 5:abbCCCDcBABcdCCB
11(C87)   (22,2)-(21,2)  5 6:abcdedccBAcBCdCbEdc
11(C88)   (211,2)-(3,2)  = 4:AbCbaCBBBCCBB
11(C89)   (211,2)-(21,2) = 5:abCbAcdCBcdCBcccBB
11(C90)   (3,21)-(3,2)   = 5:abcDcBABdCdCbcDDDc
11(C91)   (3,21)-(21,2)  = 5:AbCbaDcbDCCbbc
11(C92)   (3,2+)-(3,2)   = 4:AAABAAcBBBc
11(C93)   (3,2+)-(21,2)  4 5:abcDDDcBADccBcdcbc
11(C94)   (21,2+)-(3,2)  = 4:AbbCCbaBBBCBB
11(C95)   (21,2+)-(21,2) 4 5:abCCdCbbAbcbdd
11(C96)   .(3,2-).2      = 4:abbbaCbCbbC
11(C97)   .(21,2-).2     = 4:ABcBccBaBCCBB
11(C98)   .2.(3,2-)      = 4:ABCCCBabCbCCb
11(C99)   .2.(21,2-)     = 4:aBcBBacbbac
11(C100)  .(3,2-).20     = 4:abcccbABcBcBB
11(C101)  .(21,2-).20    = 4:AbCbACCBBAC
11(C102)  .20.(3,2-)     = 4:aBaBaCBBBaC
11(C103)  .20.(21,2-)    = 4:AbbCbCbabbccb
11(C104)  .-(3,2).2      = 4:aBBBaCbCbbC
11(C105)  .-(21,2).2     = 4:ABcBccBabCCbb
11(C106)  .2.-(3,2)      = 4:ABcccBabCbCCb
11(C107)  .2.-(21,2)     = 4:ABcBBAcbbAc
11(C108)  .(3,2).20      = 4:aBcccBABcBcBB
11(C109)  .20.-(3,2)     = 4:aBaBaCbbbaC
11(C110)  -22:2:2        5 6:abCbdCCedcbAbcDcEDccb
11(C111)  -220:2:20      4 6:cDcbacbDCedCBAcBcdE
11(C112)  -22:20:20      5 6:bCbEdCbaBCDCedcBAcD
11(C113)  -22:-20:-20    4 6:bcbEdcbaBcDcedcBAcD
11(C114)  22:-20:-20     4 6:abcdedcBAcBCdCbEdcd
11(C115)  -211:2:2       = 4:AbAbcBBcBBc
11(C116)  -2110:2:20     = 4:bAbbAAcBcBA
11(C117)  -211:20:20     = 4:BcBacbbCbCbbA
11(C118)  -211:-20:-20   = 4:BcBacBBCbCBBA
11(C119)  -40:2:2        4 6:abcdEdCBAedcbcDcBdeDcdd
11(C120)  -4:2:20        5 6:AbcDccbaCDcBCBEDCbCde
11(C121)  -40:20:20      4 6:abccdCBAcBcdEDCCbcDce
11(C122)  -40:-20:-20    4 6:abccdCBAcbccdEdCBcdce
11(C123)  -310:2:2       4 5:cbabcccdccbAbCbD
11(C124)  -310:20:20     4 5:CbdCbaBCDCbbbbAb
11(C125)  -310:-20:-20   4 5:cbdcbaBcDcbbbbAb
11(C126)  -2110:2:2      = 4:AAbAcBBcBBc
11(C127)  -211:2:20      = 4:bAbbAAccBAc
11(C128)  -2110:20:20    = 4:BBcBabbCbCbbA
11(C129)  -2110:-20:-20  = 4:BBcBaBBCbCBBA
11(C130)  -30:21:2       = 4:AbACCBBBCbC
11(C131)  -30:21:-20     = 5:ABcbDCCBcBaBcBdc
11(C132)  -30:210:2      4 5:AbCbabCCbdCbdc
11(C133)  -210:30:2      4 5:cBaBBdCbAdCCBd
11(C134)  -210:-30:-20   = 4:BBBCbCBBaBcBA
11(C135)  -210:21:2      4 5:babccdCbAbcccbDc
11(C136)  -210:-210:-20  4 5:cbdcbaBccDcbbbAb
11(C137)  2.-21.2.2      4 5:BcBabCCDDCbACd
11(C138)  2.21.-2.2      = 5:AbCbabcDcbCDcD
11(C139)  2.-3.2.20      4 5:abCbAcdCCbCdCb
11(C140)  2.3.-2.20      = 5:abCdCbACBcBdcc
11(C141)  20.3.-2.2      = 5:AbCddcDCBBCaCbCdCBDc
11(C142)  2.-3.-20.20    = 4:aBabccBAAABCb
11(C143)  2.-21.-20.20   4 5:abbbCCdcBAbcDCbC
11(C144)  20.-3.-20.2    = 4:AbCBBABBBCb
11(C145)  20.-21.-20.2   4 5:cBacbccdCbABcccD
11(C146)  2.2.-2.2.20    4 5:aBcdcBAccbccDcBB
11(C147)  2.2.-2.20.20   = 4:ABBBcbbAbAABCCb
11(C148)  2.20.-2.2.20   4 5:aBCCDCCCBAcDCBcB
11(C149)  8*-40          = 5:abcDcBAdcBcBdcBc
11(C150)  8*-310         = 4:bAbAcccbAbc
11(C151)  8*-2110        = 4:AAbAcBcBcBc
11(C152)  8*-30.20       4 5:AbCbadCbdCdCbc
11(C153)  8*3:-20        = 5:AbCbaDcbcDcbDc
11(C154)  8*-210:2       = 4:AbAcBBcBcBc
11(C155)  8*-30:20       = 4:AbCbACBBBCb
11(C156)  8*30:-20       = 4:AbAcbbbAbcb
11(C157)  8*-210:20      = 4:bAbAccbbAbc
11(C158)  8*-210:.20     = 4:bAbAccbAAbc
11(C159)  8*-30:.20      = 4:aBcBaBCCCBc
11(C161)  8*30::-20      = 5:AbcDcbacDcbCdCBD
11(C162)  8*3::-20       = 4:abCbabCbCCC
11(C163)  8*21::-20      4 5:abCdCCbABcddCBcB
11(C164)  8*2.-20.2      = 4:aBaCBaBBCBB
11(C165)  8*2.-20.20     4 5:aBcBdcBAbcDccBBc
11(C166)  8*2.20.-20     = 5:ABBCbDCbaCbCdccb
11(C167)  8*2:2:-20      4 5:abCdCCCbABcdCBcB
11(C168)  8*2:20:-20     = 4:abbCbabCbCC
11(C169)  8*2:-20:20     = 4:AbCbACCBBCb
11(C170)  8*20:-20:20    = 4:AbbAcbbAbcb
11(C171)  8*20:20:-20    = 4:ABBACbbAbCb
11(C172)  8*2:.-20:.2    = 5:abbcDcdCBAbbcdBc
11(C173)  8*2:.2:.-20    = 5:ABcbbAbdcBcdcb
11(C174)  9*.-3          = 4:ABBBACbACbC
11(C175)  9*.-21         = 4:bCbaCbCbaaC
11(C176)  9*2.-2         = 4:AABBACbACbC
11(C177)  9*20.-2        = 4:AbAbbAcbAbc
11(C178)  9*.2:.-2       = 4:AbbACBBACbC
11(C179)  9*.-2:.-2      = 4:ABBACBBACbC
11(C180)  9*.20:.-2      = 4:abCbaCCbCbC
11(C181)  10*-20         4 5:ABCdcBCdCdCBabcb
11(C182)  10**-20        = 4:AbCbAbACBBC

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