E-002 — First 10^4 zeta zero ordinates (dps 25, multiprocess)

08-17-2026 · 10000 rows · script research/numerics/scripts/E-002-first-zeros.py

Metadata

First 10000 nontrivial zero ordinates via mpmath.zetazero (multiprocess)

Validation checks

strictly_monotone	PASS
gamma_1_matches_known	PASS
riemann_von_mangoldt_abs_error	PASS

Parameters

n_zeros	`10000`
dps	`25`
workers	`15`

Chart

Data preview (10000 rows total)

n	gamma_n
1	14.13472514173469379045725
2	21.02203963877155499262848
3	25.01085758014568876321379
4	30.4248761258595132103119
5	32.93506158773918969066237
6	37.58617815882567125721776
7	40.91871901214749518739813
8	43.32707328091499951949612
9	48.00515088116715972794247
10	49.77383247767230218191678
11	52.9703214777144606441473
12	56.44624769706339480436776
13	59.34704400260235307965365
14	60.8317785246098098442599
15	65.11254404808160666087505
16	67.07981052949417371447883
17	69.54640171117397925292686
18	72.06715767448190758252211
19	75.70469069908393316832692
20	77.14484006887480537268266
21	79.33737502024936792276359
22	82.91038085408603018316484
23	84.73549298051705010573531
24	87.42527461312522940653167
25	88.80911120763446542368235