Decomposition of A002410 - 2D graph - First 500 terms
Nearest integer to imaginary part of n-th zero of Riemann zeta function.
n |
a002410 |
weight k(n) |
level L(n) |
jump |
1 |
14 |
0 |
0 |
7 |
2 |
21 |
17 |
1 |
4 |
3 |
25 |
10 |
2 |
5 |
4 |
30 |
9 |
3 |
3 |
5 |
33 |
7 |
4 |
5 |
6 |
38 |
5 |
7 |
3 |
7 |
41 |
3 |
13 |
2 |
8 |
43 |
19 |
2 |
5 |
9 |
48 |
23 |
2 |
2 |
10 |
50 |
47 |
1 |
3 |
11 |
53 |
5 |
10 |
3 |
12 |
56 |
53 |
1 |
3 |
13 |
59 |
3 |
19 |
2 |
14 |
61 |
19 |
3 |
4 |
15 |
65 |
3 |
21 |
2 |
16 |
67 |
4 |
16 |
3 |
17 |
70 |
4 |
17 |
2 |
18 |
72 |
17 |
4 |
4 |
19 |
76 |
3 |
25 |
1 |
20 |
77 |
3 |
25 |
2 |
21 |
79 |
5 |
15 |
4 |
22 |
83 |
3 |
27 |
2 |
23 |
85 |
83 |
1 |
2 |
24 |
87 |
5 |
17 |
2 |
25 |
89 |
43 |
2 |
3 |
26 |
92 |
89 |
1 |
3 |
27 |
95 |
2 |
47 |
1 |
28 |
96 |
31 |
3 |
3 |
29 |
99 |
97 |
1 |
2 |
30 |
101 |
7 |
14 |
3 |
31 |
104 |
103 |
1 |
1 |
32 |
105 |
103 |
1 |
2 |
33 |
107 |
103 |
1 |
4 |
34 |
111 |
2 |
55 |
1 |
35 |
112 |
5 |
22 |
2 |
36 |
114 |
4 |
28 |
2 |
37 |
116 |
113 |
1 |
3 |
38 |
119 |
3 |
39 |
2 |
39 |
121 |
7 |
17 |
2 |
40 |
123 |
2 |
61 |
1 |
41 |
124 |
5 |
24 |
4 |
42 |
128 |
3 |
42 |
2 |
43 |
130 |
3 |
43 |
1 |
44 |
131 |
3 |
43 |
2 |
45 |
133 |
131 |
1 |
2 |
46 |
135 |
4 |
33 |
3 |
47 |
138 |
4 |
34 |
2 |
48 |
140 |
139 |
1 |
1 |
49 |
141 |
139 |
1 |
2 |
50 |
143 |
4 |
35 |
3 |
51 |
146 |
5 |
29 |
1 |
52 |
147 |
4 |
36 |
3 |
53 |
150 |
149 |
1 |
1 |
54 |
151 |
149 |
1 |
2 |
55 |
153 |
5 |
30 |
3 |
56 |
156 |
7 |
22 |
2 |
57 |
158 |
157 |
1 |
1 |
58 |
159 |
157 |
1 |
2 |
59 |
161 |
3 |
53 |
2 |
60 |
163 |
4 |
40 |
3 |
61 |
166 |
3 |
55 |
1 |
62 |
167 |
3 |
55 |
2 |
63 |
169 |
2 |
84 |
1 |
64 |
170 |
167 |
1 |
3 |
65 |
173 |
3 |
57 |
2 |
66 |
175 |
2 |
87 |
1 |
67 |
176 |
3 |
58 |
2 |
68 |
178 |
4 |
44 |
2 |
69 |
180 |
89 |
2 |
2 |
70 |
182 |
179 |
1 |
3 |
71 |
185 |
2 |
92 |
1 |
72 |
186 |
5 |
37 |
1 |
73 |
187 |
5 |
37 |
2 |
74 |
189 |
6 |
31 |
3 |
75 |
192 |
191 |
1 |
1 |
76 |
193 |
191 |
1 |
2 |
77 |
195 |
193 |
1 |
2 |
78 |
197 |
2 |
98 |
1 |
79 |
198 |
5 |
39 |
3 |
80 |
201 |
2 |
100 |
1 |
81 |
202 |
4 |
50 |
2 |
82 |
204 |
7 |
29 |
1 |
83 |
205 |
101 |
2 |
3 |
84 |
208 |
103 |
2 |
2 |
85 |
210 |
4 |
52 |
2 |
86 |
212 |
211 |
1 |
1 |
87 |
213 |
211 |
1 |
2 |
88 |
215 |
2 |
107 |
1 |
89 |
216 |
71 |
3 |
3 |
90 |
219 |
7 |
31 |
2 |
91 |
221 |
109 |
2 |
3 |
92 |
224 |
223 |
1 |
1 |
93 |
225 |
223 |
1 |
2 |
94 |
227 |
3 |
75 |
2 |
95 |
229 |
227 |
1 |
2 |
96 |
231 |
2 |
115 |
1 |
97 |
232 |
5 |
46 |
2 |
98 |
234 |
7 |
33 |
3 |
99 |
237 |
2 |
118 |
1 |
100 |
238 |
4 |
59 |
2 |
101 |
240 |
239 |
1 |
1 |
102 |
241 |
239 |
1 |
2 |
103 |
243 |
2 |
121 |
1 |
104 |
244 |
241 |
1 |
3 |
105 |
247 |
2 |
123 |
1 |
106 |
248 |
3 |
82 |
2 |
107 |
250 |
3 |
83 |
1 |
108 |
251 |
3 |
83 |
2 |
109 |
253 |
251 |
1 |
2 |
110 |
255 |
2 |
127 |
1 |
111 |
256 |
11 |
23 |
3 |
112 |
259 |
2 |
129 |
1 |
113 |
260 |
7 |
37 |
1 |
114 |
261 |
6 |
43 |
3 |
115 |
264 |
131 |
2 |
2 |
116 |
266 |
5 |
53 |
1 |
117 |
267 |
2 |
133 |
1 |
118 |
268 |
7 |
38 |
2 |
119 |
270 |
269 |
1 |
1 |
120 |
271 |
269 |
1 |
2 |
121 |
273 |
5 |
54 |
3 |
122 |
276 |
137 |
2 |
2 |
123 |
278 |
277 |
1 |
1 |
124 |
279 |
4 |
69 |
3 |
125 |
282 |
281 |
1 |
1 |
126 |
283 |
281 |
1 |
2 |
127 |
285 |
283 |
1 |
2 |
128 |
287 |
2 |
143 |
1 |
129 |
288 |
11 |
26 |
2 |
130 |
290 |
3 |
96 |
2 |
131 |
292 |
5 |
58 |
2 |
132 |
294 |
293 |
1 |
1 |
133 |
295 |
2 |
147 |
1 |
134 |
296 |
3 |
98 |
2 |
135 |
298 |
4 |
74 |
2 |
136 |
300 |
149 |
2 |
2 |
137 |
302 |
7 |
43 |
1 |
138 |
303 |
7 |
43 |
2 |
139 |
305 |
2 |
152 |
1 |
140 |
306 |
5 |
61 |
1 |
141 |
307 |
4 |
76 |
3 |
142 |
310 |
3 |
103 |
1 |
143 |
311 |
2 |
155 |
1 |
144 |
312 |
5 |
62 |
2 |
145 |
314 |
313 |
1 |
1 |
146 |
315 |
4 |
78 |
3 |
147 |
318 |
317 |
1 |
1 |
148 |
319 |
317 |
1 |
2 |
149 |
321 |
2 |
160 |
1 |
150 |
322 |
3 |
107 |
1 |
151 |
323 |
3 |
107 |
2 |
152 |
325 |
17 |
19 |
2 |
153 |
327 |
5 |
65 |
2 |
154 |
329 |
2 |
164 |
1 |
155 |
330 |
7 |
47 |
1 |
156 |
331 |
4 |
82 |
3 |
157 |
334 |
331 |
1 |
3 |
158 |
337 |
2 |
168 |
1 |
159 |
338 |
3 |
112 |
2 |
160 |
340 |
3 |
113 |
1 |
161 |
341 |
2 |
170 |
1 |
162 |
342 |
113 |
3 |
3 |
163 |
345 |
2 |
172 |
1 |
164 |
346 |
3 |
115 |
1 |
165 |
347 |
3 |
115 |
2 |
166 |
349 |
2 |
174 |
1 |
167 |
350 |
3 |
116 |
2 |
168 |
352 |
3 |
117 |
1 |
169 |
353 |
5 |
70 |
3 |
170 |
356 |
5 |
71 |
1 |
171 |
357 |
2 |
178 |
1 |
172 |
358 |
4 |
89 |
2 |
173 |
360 |
359 |
1 |
1 |
174 |
361 |
359 |
1 |
2 |
175 |
363 |
19 |
19 |
2 |
176 |
365 |
2 |
182 |
1 |
177 |
366 |
4 |
91 |
2 |
178 |
368 |
367 |
1 |
1 |
179 |
369 |
2 |
184 |
1 |
180 |
370 |
367 |
1 |
3 |
181 |
373 |
2 |
186 |
1 |
182 |
374 |
3 |
124 |
2 |
183 |
376 |
11 |
34 |
2 |
184 |
378 |
4 |
94 |
2 |
185 |
380 |
379 |
1 |
1 |
186 |
381 |
379 |
1 |
2 |
187 |
383 |
3 |
127 |
2 |
188 |
385 |
2 |
192 |
1 |
189 |
386 |
5 |
77 |
1 |
190 |
387 |
5 |
77 |
2 |
191 |
389 |
3 |
129 |
2 |
192 |
391 |
2 |
195 |
1 |
193 |
392 |
17 |
23 |
1 |
194 |
393 |
5 |
78 |
3 |
195 |
396 |
197 |
2 |
2 |
196 |
398 |
3 |
132 |
2 |
197 |
400 |
199 |
2 |
2 |
198 |
402 |
401 |
1 |
1 |
199 |
403 |
2 |
201 |
1 |
200 |
404 |
13 |
31 |
1 |
201 |
405 |
6 |
67 |
3 |
202 |
408 |
11 |
37 |
1 |
203 |
409 |
11 |
37 |
2 |
204 |
411 |
2 |
205 |
1 |
205 |
412 |
3 |
137 |
1 |
206 |
413 |
3 |
137 |
2 |
207 |
415 |
4 |
103 |
3 |
208 |
418 |
4 |
104 |
2 |
209 |
420 |
419 |
1 |
1 |
210 |
421 |
2 |
210 |
1 |
211 |
422 |
3 |
140 |
2 |
212 |
424 |
3 |
141 |
1 |
213 |
425 |
3 |
141 |
2 |
214 |
427 |
2 |
213 |
1 |
215 |
428 |
3 |
142 |
2 |
216 |
430 |
3 |
143 |
1 |
217 |
431 |
2 |
215 |
1 |
218 |
432 |
5 |
86 |
2 |
219 |
434 |
3 |
144 |
2 |
220 |
436 |
7 |
62 |
2 |
221 |
438 |
19 |
23 |
1 |
222 |
439 |
2 |
219 |
1 |
223 |
440 |
3 |
146 |
2 |
224 |
442 |
3 |
147 |
1 |
225 |
443 |
2 |
221 |
1 |
226 |
444 |
7 |
63 |
3 |
227 |
447 |
5 |
89 |
2 |
228 |
449 |
2 |
224 |
1 |
229 |
450 |
449 |
1 |
1 |
230 |
451 |
4 |
112 |
3 |
231 |
454 |
3 |
151 |
1 |
232 |
455 |
2 |
227 |
1 |
233 |
456 |
227 |
2 |
2 |
234 |
458 |
3 |
152 |
2 |
235 |
460 |
229 |
2 |
2 |
236 |
462 |
4 |
115 |
2 |
237 |
464 |
3 |
154 |
2 |
238 |
466 |
3 |
155 |
1 |
239 |
467 |
4 |
116 |
3 |
240 |
470 |
7 |
67 |
1 |
241 |
471 |
7 |
67 |
2 |
242 |
473 |
2 |
236 |
1 |
243 |
474 |
4 |
118 |
2 |
244 |
476 |
5 |
95 |
1 |
245 |
477 |
2 |
238 |
1 |
246 |
478 |
3 |
159 |
1 |
247 |
479 |
4 |
119 |
3 |
248 |
482 |
13 |
37 |
1 |
249 |
483 |
2 |
241 |
1 |
250 |
484 |
241 |
2 |
2 |
251 |
486 |
5 |
97 |
1 |
252 |
487 |
2 |
243 |
1 |
253 |
488 |
3 |
162 |
2 |
254 |
490 |
3 |
163 |
1 |
255 |
491 |
3 |
163 |
2 |
256 |
493 |
2 |
246 |
1 |
257 |
494 |
17 |
29 |
1 |
258 |
495 |
2 |
247 |
1 |
259 |
496 |
17 |
29 |
3 |
260 |
499 |
2 |
249 |
1 |
261 |
500 |
3 |
166 |
2 |
262 |
502 |
4 |
125 |
2 |
263 |
504 |
503 |
1 |
1 |
264 |
505 |
2 |
252 |
1 |
265 |
506 |
503 |
1 |
3 |
266 |
509 |
2 |
254 |
1 |
267 |
510 |
4 |
127 |
2 |
268 |
512 |
7 |
73 |
1 |
269 |
513 |
2 |
256 |
1 |
270 |
514 |
3 |
171 |
1 |
271 |
515 |
4 |
128 |
3 |
272 |
518 |
3 |
172 |
2 |
273 |
520 |
7 |
74 |
2 |
274 |
522 |
4 |
130 |
2 |
275 |
524 |
523 |
1 |
1 |
276 |
525 |
6 |
87 |
3 |
277 |
528 |
263 |
2 |
2 |
278 |
530 |
23 |
23 |
1 |
279 |
531 |
23 |
23 |
2 |
280 |
533 |
2 |
266 |
1 |
281 |
534 |
4 |
133 |
2 |
282 |
536 |
5 |
107 |
1 |
283 |
537 |
2 |
268 |
1 |
284 |
538 |
4 |
134 |
2 |
285 |
540 |
7 |
77 |
1 |
286 |
541 |
2 |
270 |
1 |
287 |
542 |
3 |
180 |
2 |
288 |
544 |
271 |
2 |
2 |
289 |
546 |
5 |
109 |
1 |
290 |
547 |
2 |
273 |
1 |
291 |
548 |
547 |
1 |
1 |
292 |
549 |
547 |
1 |
2 |
293 |
551 |
2 |
275 |
1 |
294 |
552 |
5 |
110 |
2 |
295 |
554 |
3 |
184 |
2 |
296 |
556 |
3 |
185 |
1 |
297 |
557 |
2 |
278 |
1 |
298 |
558 |
557 |
1 |
1 |
299 |
559 |
2 |
279 |
1 |
300 |
560 |
557 |
1 |
3 |
301 |
563 |
2 |
281 |
1 |
302 |
564 |
563 |
1 |
1 |
303 |
565 |
563 |
1 |
2 |
304 |
567 |
2 |
283 |
1 |
305 |
568 |
3 |
189 |
1 |
306 |
569 |
2 |
284 |
1 |
307 |
570 |
4 |
142 |
2 |
308 |
572 |
3 |
190 |
2 |
309 |
574 |
3 |
191 |
1 |
310 |
575 |
2 |
287 |
1 |
311 |
576 |
5 |
115 |
1 |
312 |
577 |
5 |
115 |
2 |
313 |
579 |
2 |
289 |
1 |
314 |
580 |
17 |
34 |
2 |
315 |
582 |
7 |
83 |
1 |
316 |
583 |
7 |
83 |
2 |
317 |
585 |
2 |
292 |
1 |
318 |
586 |
3 |
195 |
1 |
319 |
587 |
2 |
293 |
1 |
320 |
588 |
5 |
117 |
3 |
321 |
591 |
2 |
295 |
1 |
322 |
592 |
3 |
197 |
1 |
323 |
593 |
2 |
296 |
1 |
324 |
594 |
4 |
148 |
2 |
325 |
596 |
3 |
198 |
2 |
326 |
598 |
4 |
149 |
2 |
327 |
600 |
13 |
46 |
2 |
328 |
602 |
601 |
1 |
1 |
329 |
603 |
2 |
301 |
1 |
330 |
604 |
3 |
201 |
1 |
331 |
605 |
2 |
302 |
1 |
332 |
606 |
4 |
151 |
2 |
333 |
608 |
607 |
1 |
1 |
334 |
609 |
607 |
1 |
2 |
335 |
611 |
2 |
305 |
1 |
336 |
612 |
5 |
122 |
2 |
337 |
614 |
613 |
1 |
1 |
338 |
615 |
2 |
307 |
1 |
339 |
616 |
307 |
2 |
2 |
340 |
618 |
617 |
1 |
1 |
341 |
619 |
2 |
309 |
1 |
342 |
620 |
3 |
206 |
2 |
343 |
622 |
4 |
155 |
2 |
344 |
624 |
311 |
2 |
2 |
345 |
626 |
5 |
125 |
1 |
346 |
627 |
2 |
313 |
1 |
347 |
628 |
313 |
2 |
2 |
348 |
630 |
17 |
37 |
1 |
349 |
631 |
2 |
315 |
1 |
350 |
632 |
3 |
210 |
2 |
351 |
634 |
4 |
158 |
2 |
352 |
636 |
5 |
127 |
1 |
353 |
637 |
2 |
318 |
1 |
354 |
638 |
7 |
91 |
1 |
355 |
639 |
7 |
91 |
2 |
356 |
641 |
2 |
320 |
1 |
357 |
642 |
641 |
1 |
1 |
358 |
643 |
641 |
1 |
2 |
359 |
645 |
2 |
322 |
1 |
360 |
646 |
4 |
161 |
2 |
361 |
648 |
647 |
1 |
1 |
362 |
649 |
2 |
324 |
1 |
363 |
650 |
11 |
59 |
1 |
364 |
651 |
4 |
162 |
3 |
365 |
654 |
4 |
163 |
2 |
366 |
656 |
5 |
131 |
1 |
367 |
657 |
2 |
328 |
1 |
368 |
658 |
4 |
164 |
2 |
369 |
660 |
659 |
1 |
1 |
370 |
661 |
2 |
330 |
1 |
371 |
662 |
3 |
220 |
2 |
372 |
664 |
3 |
221 |
1 |
373 |
665 |
3 |
221 |
2 |
374 |
667 |
5 |
133 |
2 |
375 |
669 |
2 |
334 |
1 |
376 |
670 |
4 |
167 |
2 |
377 |
672 |
11 |
61 |
1 |
378 |
673 |
2 |
336 |
1 |
379 |
674 |
3 |
224 |
2 |
380 |
676 |
3 |
225 |
1 |
381 |
677 |
2 |
338 |
1 |
382 |
678 |
4 |
169 |
2 |
383 |
680 |
3 |
226 |
2 |
384 |
682 |
3 |
227 |
1 |
385 |
683 |
2 |
341 |
1 |
386 |
684 |
683 |
1 |
1 |
387 |
685 |
2 |
342 |
1 |
388 |
686 |
3 |
228 |
2 |
389 |
688 |
3 |
229 |
1 |
390 |
689 |
2 |
344 |
1 |
391 |
690 |
4 |
172 |
2 |
392 |
692 |
691 |
1 |
1 |
393 |
693 |
691 |
1 |
2 |
394 |
695 |
2 |
347 |
1 |
395 |
696 |
5 |
139 |
1 |
396 |
697 |
5 |
139 |
2 |
397 |
699 |
2 |
349 |
1 |
398 |
700 |
3 |
233 |
1 |
399 |
701 |
2 |
350 |
1 |
400 |
702 |
4 |
175 |
2 |
401 |
704 |
19 |
37 |
1 |
402 |
705 |
2 |
352 |
1 |
403 |
706 |
4 |
176 |
2 |
404 |
708 |
7 |
101 |
1 |
405 |
709 |
7 |
101 |
2 |
406 |
711 |
2 |
355 |
1 |
407 |
712 |
3 |
237 |
1 |
408 |
713 |
2 |
356 |
1 |
409 |
714 |
4 |
178 |
2 |
410 |
716 |
5 |
143 |
1 |
411 |
717 |
5 |
143 |
2 |
412 |
719 |
2 |
359 |
1 |
413 |
720 |
719 |
1 |
1 |
414 |
721 |
2 |
360 |
1 |
415 |
722 |
3 |
240 |
2 |
416 |
724 |
3 |
241 |
1 |
417 |
725 |
3 |
241 |
2 |
418 |
727 |
2 |
363 |
1 |
419 |
728 |
727 |
1 |
1 |
420 |
729 |
2 |
364 |
1 |
421 |
730 |
3 |
243 |
1 |
422 |
731 |
3 |
243 |
2 |
423 |
733 |
17 |
43 |
2 |
424 |
735 |
2 |
367 |
1 |
425 |
736 |
3 |
245 |
1 |
426 |
737 |
3 |
245 |
2 |
427 |
739 |
2 |
369 |
1 |
428 |
740 |
739 |
1 |
1 |
429 |
741 |
2 |
370 |
1 |
430 |
742 |
4 |
185 |
2 |
431 |
744 |
743 |
1 |
1 |
432 |
745 |
2 |
372 |
1 |
433 |
746 |
3 |
248 |
2 |
434 |
748 |
5 |
149 |
3 |
435 |
751 |
7 |
107 |
2 |
436 |
753 |
2 |
376 |
1 |
437 |
754 |
4 |
188 |
2 |
438 |
756 |
5 |
151 |
1 |
439 |
757 |
2 |
378 |
1 |
440 |
758 |
757 |
1 |
1 |
441 |
759 |
2 |
379 |
1 |
442 |
760 |
757 |
1 |
3 |
443 |
763 |
2 |
381 |
1 |
444 |
764 |
3 |
254 |
2 |
445 |
766 |
3 |
255 |
1 |
446 |
767 |
2 |
383 |
1 |
447 |
768 |
383 |
2 |
2 |
448 |
770 |
769 |
1 |
1 |
449 |
771 |
769 |
1 |
2 |
450 |
773 |
2 |
386 |
1 |
451 |
774 |
773 |
1 |
1 |
452 |
775 |
2 |
387 |
1 |
453 |
776 |
5 |
155 |
1 |
454 |
777 |
5 |
155 |
2 |
455 |
779 |
2 |
389 |
1 |
456 |
780 |
389 |
2 |
2 |
457 |
782 |
11 |
71 |
1 |
458 |
783 |
2 |
391 |
1 |
459 |
784 |
17 |
46 |
2 |
460 |
786 |
5 |
157 |
1 |
461 |
787 |
4 |
196 |
3 |
462 |
790 |
3 |
263 |
1 |
463 |
791 |
2 |
395 |
1 |
464 |
792 |
7 |
113 |
1 |
465 |
793 |
2 |
396 |
1 |
466 |
794 |
3 |
264 |
2 |
467 |
796 |
3 |
265 |
1 |
468 |
797 |
3 |
265 |
2 |
469 |
799 |
2 |
399 |
1 |
470 |
800 |
3 |
266 |
2 |
471 |
802 |
3 |
267 |
1 |
472 |
803 |
3 |
267 |
2 |
473 |
805 |
2 |
402 |
1 |
474 |
806 |
3 |
268 |
2 |
475 |
808 |
3 |
269 |
1 |
476 |
809 |
2 |
404 |
1 |
477 |
810 |
809 |
1 |
1 |
478 |
811 |
809 |
1 |
2 |
479 |
813 |
2 |
406 |
1 |
480 |
814 |
3 |
271 |
1 |
481 |
815 |
3 |
271 |
2 |
482 |
817 |
2 |
408 |
1 |
483 |
818 |
19 |
43 |
1 |
484 |
819 |
19 |
43 |
2 |
485 |
821 |
2 |
410 |
1 |
486 |
822 |
7 |
117 |
3 |
487 |
825 |
2 |
412 |
1 |
488 |
826 |
3 |
275 |
1 |
489 |
827 |
2 |
413 |
1 |
490 |
828 |
827 |
1 |
1 |
491 |
829 |
827 |
1 |
2 |
492 |
831 |
2 |
415 |
1 |
493 |
832 |
3 |
277 |
1 |
494 |
833 |
3 |
277 |
2 |
495 |
835 |
7 |
119 |
2 |
496 |
837 |
2 |
418 |
1 |
497 |
838 |
3 |
279 |
1 |
498 |
839 |
3 |
279 |
2 |
499 |
841 |
2 |
420 |
1 |
500 |
842 |
3 |
280 |
2 |