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12n₈₈₇ (Q96630628): Difference between revisions

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label / enlabel / en
12n_887 knot
12n₈₈₇
label / delabel / de
 
12n₈₈₇
Property / instance of
 
Property / instance of: prime knot / rank
Normal rank
 
Property / instance of: prime knot / reference
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
 
Property / Alexander polynomial

t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1

t^{8}-6t^{7}+16t^{6}-25t^{5}+29t^{4}-25t^{3}+16t^{2}-6t+1
 
Property / Alexander polynomial: t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1 / rank
Normal rank
 
Property / Alexander polynomial: t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1 / reference
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
 
Property / Conway polynomial

z8+2z6+z2+1

z^{8}+2z^{6}+z^{2}+1
 
Property / Conway polynomial: z8+2z6+z2+1 / rank
Normal rank
 
Property / Conway polynomial: z8+2z6+z2+1 / reference
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
 
Property / Jones polynomial

−q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q

-q^{11}+5q^{10}-10q^{9}+15q^{8}-20q^{7}+21q^{6}-20q^{5}+16q^{4}-10q^{3}+6q^{2}-q
 
Property / Jones polynomial: −q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q / rank
Normal rank
 
Property / Jones polynomial: −q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q / reference
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
 
Property / instance of
 
Property / instance of: prime knot / rank
 
Normal rank
Property / instance of: prime knot / reference
 
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
Property / Dowker-Thistlethwaite notation
 

8,10,12,24,18,20,6,−22,2,4,−14,−16

8, 10, 12, 24, 18, 20, 6, -22, 2, 4, -14, -16
Property / Dowker-Thistlethwaite notation: 8,10,12,24,18,20,6,−22,2,4,−14,−16 / rank
 
Normal rank
Property / Dowker-Thistlethwaite notation: 8,10,12,24,18,20,6,−22,2,4,−14,−16 / reference
 
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
Property / Alexander polynomial
 

t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1

t^{8}-6t^{7}+16t^{6}-25t^{5}+29t^{4}-25t^{3}+16t^{2}-6t+1
Property / Alexander polynomial: t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1 / rank
 
Normal rank
Property / Alexander polynomial: t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1 / reference
 
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
Property / Conway polynomial
 

z8+2z6+z2+1

z^{8}+2z^{6}+z^{2}+1
Property / Conway polynomial: z8+2z6+z2+1 / rank
 
Normal rank
Property / Conway polynomial: z8+2z6+z2+1 / reference
 
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0
Property / Jones polynomial
 

−q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q

-q^{11}+5q^{10}-10q^{9}+15q^{8}-20q^{7}+21q^{6}-20q^{5}+16q^{4}-10q^{3}+6q^{2}-q
Property / Jones polynomial: −q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q / rank
 
Normal rank
Property / Jones polynomial: −q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q / reference
 
stated in: KnotInfo
retrieved: June 2020
Timestamp+2020-06-00T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 month
Before0
After0

Revision as of 16:35, 26 June 2020

mathematical knot with crossing number 12
  • 12n_887
  • 12n887
Language Label Description Also known as
default for all languages
No label defined
    English
    12n₈₈₇
    mathematical knot with crossing number 12
    • 12n_887
    • 12n887

    Statements

    t8−6t7+16t6−25t5+29t4−25t3+16t2−6t+1
    1 reference
    z8+2z6+z2+1
    1 reference
    −q11+5q10−10q9+15q8−20q7+21q6−20q5+16q4−10q3+6q2−q
    1 reference
    8,10,12,24,18,20,6,−22,2,4,−14,−16
    1 reference