Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 22.14 | ||
Character | \(\chi\) | \(=\) | 43.22 |
Dual form | 43.7.f.a.2.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.61426 | − | 5.42856i | 0.326782 | − | 0.678571i | −0.671253 | − | 0.741229i | \(-0.734243\pi\) |
0.998035 | + | 0.0626580i | \(0.0199577\pi\) | |||||||
\(3\) | 1.01637 | + | 2.11052i | 0.0376435 | + | 0.0781675i | 0.918942 | − | 0.394392i | \(-0.129045\pi\) |
−0.881299 | + | 0.472559i | \(0.843330\pi\) | |||||||
\(4\) | 17.2684 | + | 21.6539i | 0.269818 | + | 0.338342i | ||||
\(5\) | −102.842 | + | 23.4731i | −0.822738 | + | 0.187785i | −0.613111 | − | 0.789997i | \(-0.710082\pi\) |
−0.209627 | + | 0.977781i | \(0.567225\pi\) | |||||||
\(6\) | 14.1142 | 0.0653434 | ||||||||
\(7\) | − | 486.006i | − | 1.41693i | −0.705747 | − | 0.708464i | \(-0.749389\pi\) | ||
0.705747 | − | 0.708464i | \(-0.250611\pi\) | |||||||
\(8\) | 538.641 | − | 122.941i | 1.05203 | − | 0.240120i | ||||
\(9\) | 451.103 | − | 565.665i | 0.618797 | − | 0.775946i | ||||
\(10\) | −141.431 | + | 619.650i | −0.141431 | + | 0.619650i | ||||
\(11\) | 609.196 | − | 763.908i | 0.457698 | − | 0.573935i | −0.498413 | − | 0.866940i | \(-0.666084\pi\) |
0.956111 | + | 0.293005i | \(0.0946551\pi\) | |||||||
\(12\) | −28.1498 | + | 58.4537i | −0.0162904 | + | 0.0338274i | ||||
\(13\) | −77.4782 | − | 339.454i | −0.0352655 | − | 0.154508i | 0.954230 | − | 0.299075i | \(-0.0966782\pi\) |
−0.989495 | + | 0.144567i | \(0.953821\pi\) | |||||||
\(14\) | −2638.32 | − | 1270.55i | −0.961485 | − | 0.463027i | ||||
\(15\) | −154.067 | − | 193.193i | −0.0456493 | − | 0.0572425i | ||||
\(16\) | 346.320 | − | 1517.33i | 0.0845508 | − | 0.370441i | ||||
\(17\) | 664.284 | − | 2910.42i | 0.135209 | − | 0.592391i | −0.861240 | − | 0.508198i | \(-0.830312\pi\) |
0.996449 | − | 0.0841927i | \(-0.0268311\pi\) | |||||||
\(18\) | −1891.45 | − | 3927.64i | −0.324323 | − | 0.673463i | ||||
\(19\) | 2015.78 | − | 1607.53i | 0.293888 | − | 0.234368i | −0.465434 | − | 0.885082i | \(-0.654102\pi\) |
0.759323 | + | 0.650714i | \(0.225530\pi\) | |||||||
\(20\) | −2284.20 | − | 1821.59i | −0.285525 | − | 0.227699i | ||||
\(21\) | 1025.73 | − | 493.964i | 0.110758 | − | 0.0533381i | ||||
\(22\) | −2554.33 | − | 5304.11i | −0.239888 | − | 0.498132i | ||||
\(23\) | −5367.87 | + | 6731.09i | −0.441182 | + | 0.553225i | −0.951854 | − | 0.306550i | \(-0.900825\pi\) |
0.510672 | + | 0.859776i | \(0.329397\pi\) | |||||||
\(24\) | 806.931 | + | 1011.86i | 0.0583718 | + | 0.0731959i | ||||
\(25\) | −4052.10 | + | 1951.39i | −0.259334 | + | 0.124889i | ||||
\(26\) | −2045.30 | − | 466.826i | −0.116369 | − | 0.0265604i | ||||
\(27\) | 3317.21 | + | 757.131i | 0.168532 | + | 0.0384662i | ||||
\(28\) | 10523.9 | − | 8392.54i | 0.479406 | − | 0.382313i | ||||
\(29\) | 1624.49 | − | 3373.30i | 0.0666077 | − | 0.138312i | −0.865007 | − | 0.501760i | \(-0.832686\pi\) |
0.931615 | + | 0.363448i | \(0.118400\pi\) | |||||||
\(30\) | −1451.53 | + | 331.303i | −0.0537605 | + | 0.0122705i | ||||
\(31\) | 4571.58 | + | 2201.56i | 0.153455 | + | 0.0739001i | 0.509035 | − | 0.860746i | \(-0.330002\pi\) |
−0.355580 | + | 0.934646i | \(0.615717\pi\) | |||||||
\(32\) | 20313.7 | + | 16199.6i | 0.619925 | + | 0.494374i | ||||
\(33\) | 2231.41 | + | 509.306i | 0.0620924 | + | 0.0141722i | ||||
\(34\) | −14062.8 | − | 11214.7i | −0.357795 | − | 0.285332i | ||||
\(35\) | 11408.1 | + | 49982.0i | 0.266077 | + | 1.16576i | ||||
\(36\) | 20038.6 | 0.429498 | ||||||||
\(37\) | − | 14590.2i | − | 0.288042i | −0.989575 | − | 0.144021i | \(-0.953997\pi\) | ||
0.989575 | − | 0.144021i | \(-0.0460033\pi\) | |||||||
\(38\) | −3456.81 | − | 15145.3i | −0.0629977 | − | 0.276011i | ||||
\(39\) | 637.679 | − | 508.532i | 0.0107500 | − | 0.00857283i | ||||
\(40\) | −52509.3 | + | 25287.1i | −0.820457 | + | 0.395111i | ||||
\(41\) | 34086.8 | + | 16415.3i | 0.494577 | + | 0.238176i | 0.664509 | − | 0.747280i | \(-0.268641\pi\) |
−0.169932 | + | 0.985456i | \(0.554355\pi\) | |||||||
\(42\) | − | 6859.57i | − | 0.0925868i | ||||||
\(43\) | −42282.4 | + | 67331.7i | −0.531807 | + | 0.846866i | ||||
\(44\) | 27061.4 | 0.317681 | ||||||||
\(45\) | −33114.5 | + | 68763.0i | −0.363397 | + | 0.754601i | ||||
\(46\) | 22507.2 | + | 46736.6i | 0.231232 | + | 0.480158i | ||||
\(47\) | 48965.7 | + | 61401.1i | 0.471627 | + | 0.591401i | 0.959569 | − | 0.281475i | \(-0.0908236\pi\) |
−0.487942 | + | 0.872876i | \(0.662252\pi\) | |||||||
\(48\) | 3554.34 | − | 811.255i | 0.0321392 | − | 0.00733557i | ||||
\(49\) | −118553. | −1.00768 | ||||||||
\(50\) | 27098.5i | 0.216788i | ||||||||
\(51\) | 6817.66 | − | 1556.09i | 0.0513954 | − | 0.0117307i | ||||
\(52\) | 6012.58 | − | 7539.53i | 0.0427613 | − | 0.0536209i | ||||
\(53\) | 28175.5 | − | 123445.i | 0.189253 | − | 0.829173i | −0.787758 | − | 0.615985i | \(-0.788758\pi\) |
0.977011 | − | 0.213188i | \(-0.0683848\pi\) | |||||||
\(54\) | 12782.2 | − | 16028.3i | 0.0811752 | − | 0.101790i | ||||
\(55\) | −44719.8 | + | 92861.7i | −0.268789 | + | 0.558147i | ||||
\(56\) | −59750.3 | − | 261783.i | −0.340233 | − | 1.49066i | ||||
\(57\) | 5441.51 | + | 2620.49i | 0.0293829 | + | 0.0141501i | ||||
\(58\) | −14065.3 | − | 17637.4i | −0.0720884 | − | 0.0903960i | ||||
\(59\) | 16530.9 | − | 72426.4i | 0.0804895 | − | 0.352648i | −0.918606 | − | 0.395175i | \(-0.870684\pi\) |
0.999095 | + | 0.0425276i | \(0.0135410\pi\) | |||||||
\(60\) | 1522.90 | − | 6672.27i | 0.00705048 | − | 0.0308902i | ||||
\(61\) | −7616.39 | − | 15815.6i | −0.0335552 | − | 0.0696780i | 0.883517 | − | 0.468398i | \(-0.155169\pi\) |
−0.917073 | + | 0.398720i | \(0.869454\pi\) | |||||||
\(62\) | 23902.6 | − | 19061.7i | 0.100293 | − | 0.0799809i | ||||
\(63\) | −274917. | − | 219239.i | −1.09946 | − | 0.876790i | ||||
\(64\) | 230788. | − | 111142.i | 0.880387 | − | 0.423972i | ||||
\(65\) | 15936.1 | + | 33091.6i | 0.0580285 | + | 0.120497i | ||||
\(66\) | 8598.29 | − | 10781.9i | 0.0299075 | − | 0.0375028i | ||||
\(67\) | 213761. | + | 268047.i | 0.710728 | + | 0.891224i | 0.997774 | − | 0.0666924i | \(-0.0212446\pi\) |
−0.287046 | + | 0.957917i | \(0.592673\pi\) | |||||||
\(68\) | 74492.9 | − | 35873.9i | 0.236912 | − | 0.114091i | ||||
\(69\) | −19661.9 | − | 4487.69i | −0.0598518 | − | 0.0136608i | ||||
\(70\) | 301154. | + | 68736.4i | 0.878000 | + | 0.200398i | ||||
\(71\) | 393246. | − | 313603.i | 1.09873 | − | 0.876205i | 0.105735 | − | 0.994394i | \(-0.466280\pi\) |
0.992991 | + | 0.118190i | \(0.0377091\pi\) | |||||||
\(72\) | 173439. | − | 360150.i | 0.464675 | − | 0.964907i | ||||
\(73\) | −521532. | + | 119036.i | −1.34064 | + | 0.305992i | −0.831899 | − | 0.554927i | \(-0.812746\pi\) |
−0.508741 | + | 0.860919i | \(0.669889\pi\) | |||||||
\(74\) | −79203.8 | − | 38142.5i | −0.195457 | − | 0.0941271i | ||||
\(75\) | −8236.89 | − | 6568.70i | −0.0195245 | − | 0.0155702i | ||||
\(76\) | 69618.5 | + | 15890.0i | 0.158593 | + | 0.0361978i | ||||
\(77\) | −371264. | − | 296073.i | −0.813224 | − | 0.648525i | ||||
\(78\) | −1093.54 | − | 4791.12i | −0.00230436 | − | 0.0100961i | ||||
\(79\) | −197625. | −0.400831 | −0.200415 | − | 0.979711i | \(-0.564229\pi\) | ||||
−0.200415 | + | 0.979711i | \(0.564229\pi\) | |||||||
\(80\) | 164175.i | 0.320653i | ||||||||
\(81\) | −115593. | − | 506446.i | −0.217509 | − | 0.952968i | ||||
\(82\) | 178223. | − | 142128.i | 0.323238 | − | 0.257774i | ||||
\(83\) | −833718. | + | 401497.i | −1.45809 | + | 0.702180i | −0.983979 | − | 0.178284i | \(-0.942945\pi\) |
−0.474113 | + | 0.880464i | \(0.657231\pi\) | |||||||
\(84\) | 28408.9 | + | 13681.0i | 0.0479309 | + | 0.0230823i | ||||
\(85\) | 314907.i | 0.512773i | ||||||||
\(86\) | 254978. | + | 405555.i | 0.400873 | + | 0.637609i | ||||
\(87\) | 8770.51 | 0.0133189 | ||||||||
\(88\) | 234222. | − | 486368.i | 0.343701 | − | 0.713702i | ||||
\(89\) | 503044. | + | 1.04458e6i | 0.713569 | + | 1.48174i | 0.869479 | + | 0.493970i | \(0.164455\pi\) |
−0.155910 | + | 0.987771i | \(0.549831\pi\) | |||||||
\(90\) | 286715. | + | 359529.i | 0.393298 | + | 0.493181i | ||||
\(91\) | −164977. | + | 37654.9i | −0.218927 | + | 0.0499686i | ||||
\(92\) | −238448. | −0.306218 | ||||||||
\(93\) | 11886.0i | 0.0147771i | ||||||||
\(94\) | 461329. | − | 105295.i | 0.555427 | − | 0.126773i | ||||
\(95\) | −169573. | + | 212638.i | −0.197782 | + | 0.248011i | ||||
\(96\) | −13543.4 | + | 59337.4i | −0.0153078 | + | 0.0670679i | ||||
\(97\) | −983626. | + | 1.23343e6i | −1.07774 | + | 1.35145i | −0.145605 | + | 0.989343i | \(0.546513\pi\) |
−0.932138 | + | 0.362103i | \(0.882059\pi\) | |||||||
\(98\) | −309928. | + | 643573.i | −0.329293 | + | 0.683785i | ||||
\(99\) | −157306. | − | 689202.i | −0.162121 | − | 0.710298i | ||||
\(100\) | −112228. | − | 54046.3i | −0.112228 | − | 0.0540463i | ||||
\(101\) | 303004. | + | 379954.i | 0.294092 | + | 0.368780i | 0.906823 | − | 0.421512i | \(-0.138500\pi\) |
−0.612731 | + | 0.790292i | \(0.709929\pi\) | |||||||
\(102\) | 9375.81 | − | 41078.1i | 0.00883503 | − | 0.0387088i | ||||
\(103\) | −285048. | + | 1.24888e6i | −0.260859 | + | 1.14290i | 0.659463 | + | 0.751737i | \(0.270784\pi\) |
−0.920322 | + | 0.391161i | \(0.872073\pi\) | |||||||
\(104\) | −83466.0 | − | 173319.i | −0.0742010 | − | 0.154080i | ||||
\(105\) | −93893.2 | + | 74877.3i | −0.0811084 | + | 0.0646818i | ||||
\(106\) | −596470. | − | 475669.i | −0.500808 | − | 0.399381i | ||||
\(107\) | 1.91340e6 | − | 921447.i | 1.56191 | − | 0.752175i | 0.564590 | − | 0.825372i | \(-0.309034\pi\) |
0.997318 | + | 0.0731968i | \(0.0233201\pi\) | |||||||
\(108\) | 40888.0 | + | 84904.7i | 0.0324582 | + | 0.0674001i | ||||
\(109\) | 705875. | − | 885139.i | 0.545065 | − | 0.683490i | −0.430654 | − | 0.902517i | \(-0.641717\pi\) |
0.975719 | + | 0.219028i | \(0.0702885\pi\) | |||||||
\(110\) | 387196. | + | 485529.i | 0.290906 | + | 0.364785i | ||||
\(111\) | 30792.9 | − | 14829.1i | 0.0225155 | − | 0.0108429i | ||||
\(112\) | −737430. | − | 168314.i | −0.524888 | − | 0.119802i | ||||
\(113\) | 2.03407e6 | + | 464263.i | 1.40971 | + | 0.321757i | 0.858588 | − | 0.512666i | \(-0.171342\pi\) |
0.551123 | + | 0.834424i | \(0.314199\pi\) | |||||||
\(114\) | 28451.0 | − | 22688.9i | 0.0192036 | − | 0.0153144i | ||||
\(115\) | 394044. | − | 818241.i | 0.259090 | − | 0.538007i | ||||
\(116\) | 101097. | − | 23074.8i | 0.0647688 | − | 0.0147831i | ||||
\(117\) | −226968. | − | 109302.i | −0.141712 | − | 0.0682450i | ||||
\(118\) | −349956. | − | 279080.i | −0.212994 | − | 0.169857i | ||||
\(119\) | −1.41448e6 | − | 322846.i | −0.839375 | − | 0.191582i | ||||
\(120\) | −106738. | − | 85120.8i | −0.0617697 | − | 0.0492597i | ||||
\(121\) | 181774. | + | 796406.i | 0.102607 | + | 0.449550i | ||||
\(122\) | −105767. | −0.0582467 | ||||||||
\(123\) | 88624.9i | 0.0476256i | ||||||||
\(124\) | 31271.6 | + | 137010.i | 0.0164016 | + | 0.0718599i | ||||
\(125\) | 1.65956e6 | − | 1.32346e6i | 0.849696 | − | 0.677610i | ||||
\(126\) | −1.90886e6 | + | 919256.i | −0.954248 | + | 0.459542i | ||||
\(127\) | −2.61592e6 | − | 1.25976e6i | −1.27706 | − | 0.615002i | −0.332430 | − | 0.943128i | \(-0.607869\pi\) |
−0.944634 | + | 0.328126i | \(0.893583\pi\) | |||||||
\(128\) | 119459.i | 0.0569623i | ||||||||
\(129\) | −185080. | − | 20803.7i | −0.0862164 | − | 0.00969104i | ||||
\(130\) | 221301. | 0.100729 | ||||||||
\(131\) | 444997. | − | 924047.i | 0.197945 | − | 0.411036i | −0.778243 | − | 0.627963i | \(-0.783889\pi\) |
0.976188 | + | 0.216927i | \(0.0696033\pi\) | |||||||
\(132\) | 27504.5 | + | 57113.6i | 0.0119586 | + | 0.0248324i | ||||
\(133\) | −781269. | − | 979681.i | −0.332082 | − | 0.416418i | ||||
\(134\) | 2.01394e6 | − | 459668.i | 0.837012 | − | 0.191043i | ||||
\(135\) | −358921. | −0.145881 | ||||||||
\(136\) | − | 1.64934e6i | − | 0.655682i | ||||||
\(137\) | 2.48239e6 | − | 566589.i | 0.965402 | − | 0.220347i | 0.289369 | − | 0.957218i | \(-0.406555\pi\) |
0.676033 | + | 0.736871i | \(0.263697\pi\) | |||||||
\(138\) | −75763.0 | + | 95003.7i | −0.0288283 | + | 0.0361496i | ||||
\(139\) | −212764. | + | 932178.i | −0.0792233 | + | 0.347100i | −0.998968 | − | 0.0454168i | \(-0.985538\pi\) |
0.919745 | + | 0.392517i | \(0.128396\pi\) | |||||||
\(140\) | −885304. | + | 1.11014e6i | −0.322633 | + | 0.404569i | ||||
\(141\) | −79820.8 | + | 165750.i | −0.0284747 | + | 0.0591283i | ||||
\(142\) | −674369. | − | 2.95460e6i | −0.235522 | − | 1.03189i | ||||
\(143\) | −306511. | − | 147608.i | −0.104819 | − | 0.0504780i | ||||
\(144\) | −702073. | − | 880372.i | −0.235123 | − | 0.294835i | ||||
\(145\) | −87885.0 | + | 385049.i | −0.0288278 | + | 0.126303i | ||||
\(146\) | −717223. | + | 3.14236e6i | −0.230460 | + | 1.00971i | ||||
\(147\) | −120494. | − | 250209.i | −0.0379327 | − | 0.0787681i | ||||
\(148\) | 315934. | − | 251949.i | 0.0974566 | − | 0.0777190i | ||||
\(149\) | 1.04762e6 | + | 835446.i | 0.316697 | + | 0.252557i | 0.768916 | − | 0.639349i | \(-0.220796\pi\) |
−0.452220 | + | 0.891907i | \(0.649368\pi\) | |||||||
\(150\) | −57192.0 | + | 27542.2i | −0.0169458 | + | 0.00816065i | ||||
\(151\) | −1.26697e6 | − | 2.63089e6i | −0.367990 | − | 0.764139i | 0.631951 | − | 0.775008i | \(-0.282254\pi\) |
−0.999941 | + | 0.0108697i | \(0.996540\pi\) | |||||||
\(152\) | 888150. | − | 1.11370e6i | 0.252904 | − | 0.317131i | ||||
\(153\) | −1.34666e6 | − | 1.68866e6i | −0.375997 | − | 0.471485i | ||||
\(154\) | −2.57783e6 | + | 1.24142e6i | −0.705817 | + | 0.339904i | ||||
\(155\) | −521829. | − | 119104.i | −0.140131 | − | 0.0319839i | ||||
\(156\) | 22023.4 | + | 5026.69i | 0.00580109 | + | 0.00132406i | ||||
\(157\) | 3.30672e6 | − | 2.63702e6i | 0.854473 | − | 0.681419i | −0.0949287 | − | 0.995484i | \(-0.530262\pi\) |
0.949402 | + | 0.314065i | \(0.101691\pi\) | |||||||
\(158\) | −516643. | + | 1.07282e6i | −0.130984 | + | 0.271992i | ||||
\(159\) | 289170. | − | 66001.1i | 0.0719385 | − | 0.0164195i | ||||
\(160\) | −2.46936e6 | − | 1.18918e6i | −0.602872 | − | 0.290328i | ||||
\(161\) | 3.27135e6 | + | 2.60882e6i | 0.783880 | + | 0.625124i | ||||
\(162\) | −3.05147e6 | − | 696477.i | −0.717734 | − | 0.163818i | ||||
\(163\) | 2.00398e6 | + | 1.59812e6i | 0.462732 | + | 0.369017i | 0.826930 | − | 0.562305i | \(-0.190085\pi\) |
−0.364198 | + | 0.931322i | \(0.618657\pi\) | |||||||
\(164\) | 233168. | + | 1.02158e6i | 0.0528612 | + | 0.231600i | ||||
\(165\) | −241439. | −0.0537471 | ||||||||
\(166\) | 5.57551e6i | 1.21888i | ||||||||
\(167\) | 1.54684e6 | + | 6.77715e6i | 0.332121 | + | 1.45512i | 0.815016 | + | 0.579438i | \(0.196728\pi\) |
−0.482896 | + | 0.875678i | \(0.660415\pi\) | |||||||
\(168\) | 491770. | − | 392174.i | 0.103713 | − | 0.0827086i | ||||
\(169\) | 4.23958e6 | − | 2.04167e6i | 0.878340 | − | 0.422986i | ||||
\(170\) | 1.70949e6 | + | 823247.i | 0.347952 | + | 0.167565i | ||||
\(171\) | − | 1.86542e6i | − | 0.373067i | ||||||
\(172\) | −2.18814e6 | + | 247133.i | −0.430021 | + | 0.0485675i | ||||
\(173\) | −1.73894e6 | −0.335851 | −0.167926 | − | 0.985800i | \(-0.553707\pi\) | ||||
−0.167926 | + | 0.985800i | \(0.553707\pi\) | |||||||
\(174\) | 22928.4 | − | 47611.3i | 0.00435237 | − | 0.00903779i | ||||
\(175\) | 948386. | + | 1.96934e6i | 0.176958 | + | 0.367458i | ||||
\(176\) | −948121. | − | 1.18891e6i | −0.173910 | − | 0.218077i | ||||
\(177\) | 169659. | − | 38723.6i | 0.0305955 | − | 0.00698322i | ||||
\(178\) | 6.98567e6 | 1.23865 | ||||||||
\(179\) | 2.43668e6i | 0.424854i | 0.977177 | + | 0.212427i | \(0.0681368\pi\) | ||||
−0.977177 | + | 0.212427i | \(0.931863\pi\) | |||||||
\(180\) | −2.06082e6 | + | 470369.i | −0.353364 | + | 0.0806531i | ||||
\(181\) | 4.82977e6 | − | 6.05634e6i | 0.814500 | − | 1.02135i | −0.184756 | − | 0.982784i | \(-0.559150\pi\) |
0.999256 | − | 0.0385661i | \(-0.0122790\pi\) | |||||||
\(182\) | −226880. | + | 994028.i | −0.0376342 | + | 0.164886i | ||||
\(183\) | 25638.1 | − | 32149.1i | 0.00418342 | − | 0.00524585i | ||||
\(184\) | −2.06383e6 | + | 4.28558e6i | −0.331298 | + | 0.687948i | ||||
\(185\) | 342477. | + | 1.50049e6i | 0.0540898 | + | 0.236983i | ||||
\(186\) | 64524.1 | + | 31073.2i | 0.0100273 | + | 0.00482888i | ||||
\(187\) | −1.81861e6 | − | 2.28046e6i | −0.278109 | − | 0.348737i | ||||
\(188\) | −484012. | + | 2.12059e6i | −0.0728421 | + | 0.319142i | ||||
\(189\) | 367970. | − | 1.61218e6i | 0.0545038 | − | 0.238797i | ||||
\(190\) | 711013. | + | 1.47643e6i | 0.103661 | + | 0.215255i | ||||
\(191\) | −959769. | + | 765390.i | −0.137742 | + | 0.109846i | −0.689937 | − | 0.723869i | \(-0.742362\pi\) |
0.552195 | + | 0.833715i | \(0.313790\pi\) | |||||||
\(192\) | 469134. | + | 374122.i | 0.0662816 | + | 0.0528578i | ||||
\(193\) | −8.18989e6 | + | 3.94404e6i | −1.13922 | + | 0.548618i | −0.905777 | − | 0.423754i | \(-0.860712\pi\) |
−0.233439 | + | 0.972371i | \(0.574998\pi\) | |||||||
\(194\) | 4.12429e6 | + | 8.56418e6i | 0.564865 | + | 1.17295i | ||||
\(195\) | −53643.5 | + | 67266.8i | −0.00723458 | + | 0.00907188i | ||||
\(196\) | −2.04722e6 | − | 2.56713e6i | −0.271892 | − | 0.340941i | ||||
\(197\) | −1.15644e6 | + | 556914.i | −0.151261 | + | 0.0728433i | −0.507983 | − | 0.861367i | \(-0.669609\pi\) |
0.356722 | + | 0.934211i | \(0.383894\pi\) | |||||||
\(198\) | −4.15261e6 | − | 947807.i | −0.534966 | − | 0.122102i | ||||
\(199\) | −1.12394e7 | − | 2.56533e6i | −1.42622 | − | 0.325525i | −0.561372 | − | 0.827564i | \(-0.689726\pi\) |
−0.864845 | + | 0.502039i | \(0.832583\pi\) | |||||||
\(200\) | −1.94272e6 | + | 1.54927e6i | −0.242840 | + | 0.193659i | ||||
\(201\) | −348459. | + | 723583.i | −0.0429105 | + | 0.0891046i | ||||
\(202\) | 2.85474e6 | − | 651575.i | 0.346347 | − | 0.0790516i | ||||
\(203\) | −1.63944e6 | − | 789515.i | −0.195979 | − | 0.0943783i | ||||
\(204\) | 151425. | + | 120758.i | 0.0178364 | + | 0.0142241i | ||||
\(205\) | −3.89088e6 | − | 888067.i | −0.451633 | − | 0.103082i | ||||
\(206\) | 6.03442e6 | + | 4.81229e6i | 0.690293 | + | 0.550490i | ||||
\(207\) | 1.38608e6 | + | 6.07283e6i | 0.156271 | + | 0.684668i | ||||
\(208\) | −541896. | −0.0602179 | ||||||||
\(209\) | − | 2.51917e6i | − | 0.275942i | ||||||
\(210\) | 161015. | + | 705454.i | 0.0173864 | + | 0.0761747i | ||||
\(211\) | 8.47054e6 | − | 6.75503e6i | 0.901704 | − | 0.719085i | −0.0585290 | − | 0.998286i | \(-0.518641\pi\) |
0.960233 | + | 0.279201i | \(0.0900696\pi\) | |||||||
\(212\) | 3.15960e6 | − | 1.52158e6i | 0.331608 | − | 0.159694i | ||||
\(213\) | 1.06155e6 | + | 511216.i | 0.109851 | + | 0.0529012i | ||||
\(214\) | − | 1.27959e7i | − | 1.30566i | ||||||
\(215\) | 2.76793e6 | − | 7.91704e6i | 0.278509 | − | 0.796614i | ||||
\(216\) | 1.87987e6 | 0.186537 | ||||||||
\(217\) | 1.06997e6 | − | 2.22182e6i | 0.104711 | − | 0.217435i | ||||
\(218\) | −2.95969e6 | − | 6.14587e6i | −0.285678 | − | 0.593217i | ||||
\(219\) | −781300. | − | 979719.i | −0.0743850 | − | 0.0932758i | ||||
\(220\) | −2.78305e6 | + | 635214.i | −0.261369 | + | 0.0596557i | ||||
\(221\) | −1.03942e6 | −0.0962974 | ||||||||
\(222\) | − | 205928.i | − | 0.0188216i | ||||||
\(223\) | −1.43776e7 | + | 3.28160e6i | −1.29650 | + | 0.295918i | −0.814454 | − | 0.580228i | \(-0.802963\pi\) |
−0.482046 | + | 0.876146i | \(0.660106\pi\) | |||||||
\(224\) | 7.87312e6 | − | 9.87258e6i | 0.700492 | − | 0.878389i | ||||
\(225\) | −724081. | + | 3.17241e6i | −0.0635681 | + | 0.278510i | ||||
\(226\) | 7.83786e6 | − | 9.82837e6i | 0.679004 | − | 0.851444i | ||||
\(227\) | 2.71076e6 | − | 5.62896e6i | 0.231747 | − | 0.481227i | −0.752372 | − | 0.658739i | \(-0.771090\pi\) |
0.984119 | + | 0.177511i | \(0.0568046\pi\) | |||||||
\(228\) | 37222.3 | + | 163081.i | 0.00314050 | + | 0.0137594i | ||||
\(229\) | −916747. | − | 441482.i | −0.0763384 | − | 0.0367626i | 0.395325 | − | 0.918541i | \(-0.370632\pi\) |
−0.471663 | + | 0.881779i | \(0.656346\pi\) | |||||||
\(230\) | −3.41174e6 | − | 4.27819e6i | −0.280409 | − | 0.351622i | ||||
\(231\) | 247526. | − | 1.08448e6i | 0.0200810 | − | 0.0879804i | ||||
\(232\) | 460302. | − | 2.01672e6i | 0.0368620 | − | 0.161503i | ||||
\(233\) | 1.02680e7 | + | 2.13216e7i | 0.811739 | + | 1.68559i | 0.724363 | + | 0.689419i | \(0.242134\pi\) |
0.0873762 | + | 0.996175i | \(0.472152\pi\) | |||||||
\(234\) | −1.18671e6 | + | 946367.i | −0.0926181 | + | 0.0738605i | ||||
\(235\) | −6.47702e6 | − | 5.16525e6i | −0.499081 | − | 0.398004i | ||||
\(236\) | 1.85377e6 | − | 892730.i | 0.141033 | − | 0.0679179i | ||||
\(237\) | −200861. | − | 417092.i | −0.0150887 | − | 0.0313319i | ||||
\(238\) | −5.45041e6 | + | 6.83460e6i | −0.404295 | + | 0.506970i | ||||
\(239\) | −1.10288e7 | − | 1.38297e7i | −0.807858 | − | 1.01302i | −0.999502 | − | 0.0315578i | \(-0.989953\pi\) |
0.191644 | − | 0.981465i | \(-0.438618\pi\) | |||||||
\(240\) | −346494. | + | 166863.i | −0.0250647 | + | 0.0120705i | ||||
\(241\) | 1.86593e7 | + | 4.25885e6i | 1.33304 | + | 0.304258i | 0.828916 | − | 0.559373i | \(-0.188958\pi\) |
0.504124 | + | 0.863631i | \(0.331815\pi\) | |||||||
\(242\) | 4.79854e6 | + | 1.09524e6i | 0.338582 | + | 0.0772791i | ||||
\(243\) | 2.89066e6 | − | 2.30522e6i | 0.201455 | − | 0.160655i | ||||
\(244\) | 210946. | − | 438034.i | 0.0145212 | − | 0.0301535i | ||||
\(245\) | 1.21923e7 | − | 2.78280e6i | 0.829060 | − | 0.189228i | ||||
\(246\) | 481106. | + | 231688.i | 0.0323173 | + | 0.0155632i | ||||
\(247\) | −701862. | − | 559716.i | −0.0465759 | − | 0.0371430i | ||||
\(248\) | 2.73311e6 | + | 623814.i | 0.179185 | + | 0.0408978i | ||||
\(249\) | −1.69474e6 | − | 1.35151e6i | −0.109775 | − | 0.0875429i | ||||
\(250\) | −2.84595e6 | − | 1.24689e7i | −0.182141 | − | 0.798010i | ||||
\(251\) | −1.01361e6 | −0.0640987 | −0.0320493 | − | 0.999486i | \(-0.510203\pi\) | ||||
−0.0320493 | + | 0.999486i | \(0.510203\pi\) | |||||||
\(252\) | − | 9.73891e6i | − | 0.608567i | ||||||
\(253\) | 1.87185e6 | + | 8.20111e6i | 0.115587 | + | 0.506420i | ||||
\(254\) | −1.36774e7 | + | 1.09073e7i | −0.834644 | + | 0.665607i | ||||
\(255\) | −664617. | + | 320063.i | −0.0400821 | + | 0.0193025i | ||||
\(256\) | 1.54189e7 | + | 7.42537e6i | 0.919040 | + | 0.442586i | ||||
\(257\) | − | 6.32313e6i | − | 0.372505i | −0.982502 | − | 0.186253i | \(-0.940366\pi\) | ||
0.982502 | − | 0.186253i | \(-0.0596343\pi\) | |||||||
\(258\) | −596780. | + | 950331.i | −0.0347501 | + | 0.0553370i | ||||
\(259\) | −7.09092e6 | −0.408135 | ||||||||
\(260\) | −441371. | + | 916516.i | −0.0251121 | + | 0.0521459i | ||||
\(261\) | −1.17534e6 | − | 2.44062e6i | −0.0661063 | − | 0.137271i | ||||
\(262\) | −3.85291e6 | − | 4.83139e6i | −0.214232 | − | 0.268639i | ||||
\(263\) | −2.33310e7 | + | 5.32515e6i | −1.28253 | + | 0.292728i | −0.808873 | − | 0.587983i | \(-0.799922\pi\) |
−0.473653 | + | 0.880712i | \(0.657065\pi\) | |||||||
\(264\) | 1.26455e6 | 0.0687263 | ||||||||
\(265\) | 1.33567e7i | 0.717731i | ||||||||
\(266\) | −7.36070e6 | + | 1.68003e6i | −0.391088 | + | 0.0892632i | ||||
\(267\) | −1.69333e6 | + | 2.12337e6i | −0.0889627 | + | 0.111556i | ||||
\(268\) | −2.11296e6 | + | 9.25749e6i | −0.109771 | + | 0.480938i | ||||
\(269\) | −6.68068e6 | + | 8.37731e6i | −0.343213 | + | 0.430375i | −0.923241 | − | 0.384221i | \(-0.874470\pi\) |
0.580028 | + | 0.814596i | \(0.303042\pi\) | |||||||
\(270\) | −938313. | + | 1.94843e6i | −0.0476712 | + | 0.0989903i | ||||
\(271\) | 7.44838e6 | + | 3.26335e7i | 0.374243 | + | 1.63967i | 0.714717 | + | 0.699413i | \(0.246555\pi\) |
−0.340474 | + | 0.940254i | \(0.610588\pi\) | |||||||
\(272\) | −4.18600e6 | − | 2.01587e6i | −0.208014 | − | 0.100174i | ||||
\(273\) | −247150. | − | 309916.i | −0.0121471 | − | 0.0152320i | ||||
\(274\) | 3.41384e6 | − | 1.49570e7i | 0.165956 | − | 0.727099i | ||||
\(275\) | −977842. | + | 4.28420e6i | −0.0470187 | + | 0.206002i | ||||
\(276\) | −242353. | − | 503251.i | −0.0115271 | − | 0.0239363i | ||||
\(277\) | 1.00708e6 | − | 803121.i | 0.0473833 | − | 0.0377870i | −0.599512 | − | 0.800366i | \(-0.704639\pi\) |
0.646895 | + | 0.762579i | \(0.276067\pi\) | |||||||
\(278\) | 4.50417e6 | + | 3.59196e6i | 0.209643 | + | 0.167185i | ||||
\(279\) | 3.30760e6 | − | 1.59286e6i | 0.152300 | − | 0.0733439i | ||||
\(280\) | 1.22897e7 | + | 2.55198e7i | 0.559844 | + | 1.16253i | ||||
\(281\) | −2.54542e6 | + | 3.19186e6i | −0.114721 | + | 0.143855i | −0.835876 | − | 0.548918i | \(-0.815040\pi\) |
0.721156 | + | 0.692773i | \(0.243611\pi\) | |||||||
\(282\) | 691110. | + | 866625.i | 0.0308177 | + | 0.0386442i | ||||
\(283\) | −3.28203e7 | + | 1.58054e7i | −1.44805 | + | 0.697343i | −0.982255 | − | 0.187550i | \(-0.939945\pi\) |
−0.465794 | + | 0.884893i | \(0.654231\pi\) | |||||||
\(284\) | 1.35814e7 | + | 3.09988e6i | 0.592913 | + | 0.135329i | ||||
\(285\) | −621128. | − | 141768.i | −0.0268316 | − | 0.00612414i | ||||
\(286\) | −1.60260e6 | + | 1.27803e6i | −0.0685057 | + | 0.0546315i | ||||
\(287\) | 7.97794e6 | − | 1.65664e7i | 0.337478 | − | 0.700780i | ||||
\(288\) | 1.83271e7 | − | 4.18305e6i | 0.767215 | − | 0.175112i | ||||
\(289\) | 1.37179e7 | + | 6.60622e6i | 0.568324 | + | 0.273690i | ||||
\(290\) | 1.86051e6 | + | 1.48371e6i | 0.0762849 | + | 0.0608352i | ||||
\(291\) | −3.60291e6 | − | 822341.i | −0.146209 | − | 0.0333713i | ||||
\(292\) | −1.15836e7 | − | 9.23762e6i | −0.465259 | − | 0.371032i | ||||
\(293\) | 3.08235e6 | + | 1.35046e7i | 0.122540 | + | 0.536884i | 0.998513 | + | 0.0545225i | \(0.0173637\pi\) |
−0.875972 | + | 0.482361i | \(0.839779\pi\) | |||||||
\(294\) | −1.67328e6 | −0.0658455 | ||||||||
\(295\) | 7.83652e6i | 0.305251i | ||||||||
\(296\) | −1.79374e6 | − | 7.85888e6i | −0.0691646 | − | 0.303030i | ||||
\(297\) | 2.59921e6 | − | 2.07280e6i | 0.0992136 | − | 0.0791202i | ||||
\(298\) | 7.27401e6 | − | 3.50298e6i | 0.274869 | − | 0.132370i | ||||
\(299\) | 2.70079e6 | + | 1.30063e6i | 0.101036 | + | 0.0486565i | ||||
\(300\) | − | 291791.i | − | 0.0108071i | ||||||
\(301\) | 3.27236e7 | + | 2.05495e7i | 1.19995 | + | 0.753532i | ||||
\(302\) | −1.75942e7 | −0.638774 | ||||||||
\(303\) | −493937. | + | 1.02567e6i | −0.0177559 | + | 0.0368706i | ||||
\(304\) | −1.74104e6 | − | 3.61531e6i | −0.0619711 | − | 0.128684i | ||||
\(305\) | 1.15453e6 | + | 1.44773e6i | 0.0406916 | + | 0.0510256i | ||||
\(306\) | −1.26875e7 | + | 2.89584e6i | −0.442805 | + | 0.101067i | ||||
\(307\) | −5.14760e7 | −1.77905 | −0.889527 | − | 0.456882i | \(-0.848966\pi\) | ||||
−0.889527 | + | 0.456882i | \(0.848966\pi\) | |||||||
\(308\) | − | 1.31520e7i | − | 0.450132i | ||||||
\(309\) | −2.92549e6 | + | 667725.i | −0.0991571 | + | 0.0226320i | ||||
\(310\) | −2.01076e6 | + | 2.52142e6i | −0.0674956 | + | 0.0846368i | ||||
\(311\) | −3.58168e6 | + | 1.56924e7i | −0.119071 | + | 0.521684i | 0.879850 | + | 0.475251i | \(0.157643\pi\) |
−0.998921 | + | 0.0464333i | \(0.985214\pi\) | |||||||
\(312\) | 280961. | − | 352313.i | 0.00925085 | − | 0.0116002i | ||||
\(313\) | 1.85893e7 | − | 3.86012e7i | 0.606221 | − | 1.25883i | −0.341546 | − | 0.939865i | \(-0.610950\pi\) |
0.947766 | − | 0.318965i | \(-0.103335\pi\) | |||||||
\(314\) | −5.67062e6 | − | 2.48446e7i | −0.183164 | − | 0.802496i | ||||
\(315\) | 3.34193e7 | + | 1.60939e7i | 1.06922 | + | 0.514907i | ||||
\(316\) | −3.41267e6 | − | 4.27935e6i | −0.108151 | − | 0.135618i | ||||
\(317\) | 1.12019e7 | − | 4.90786e7i | 0.351652 | − | 1.54069i | −0.421715 | − | 0.906728i | \(-0.638572\pi\) |
0.773367 | − | 0.633959i | \(-0.218571\pi\) | |||||||
\(318\) | 397673. | − | 1.74232e6i | 0.0123665 | − | 0.0541810i | ||||
\(319\) | −1.58725e6 | − | 3.29596e6i | −0.0488961 | − | 0.101534i | ||||
\(320\) | −2.11259e7 | + | 1.68474e7i | −0.644712 | + | 0.514141i | ||||
\(321\) | 3.88947e6 | + | 3.10175e6i | 0.117591 | + | 0.0937759i | ||||
\(322\) | 2.27143e7 | − | 1.09386e7i | 0.680349 | − | 0.327639i | ||||
\(323\) | −3.33953e6 | − | 6.93461e6i | −0.0991010 | − | 0.205785i | ||||
\(324\) | 8.97041e6 | − | 1.12485e7i | 0.263741 | − | 0.330721i | ||||
\(325\) | 976356. | + | 1.22431e6i | 0.0284419 | + | 0.0356650i | ||||
\(326\) | 1.39144e7 | − | 6.70082e6i | 0.401617 | − | 0.193408i | ||||
\(327\) | 2.58554e6 | + | 590132.i | 0.0739448 | + | 0.0168774i | ||||
\(328\) | 2.03787e7 | + | 4.65130e6i | 0.577503 | + | 0.131811i | ||||
\(329\) | 2.98413e7 | − | 2.37976e7i | 0.837973 | − | 0.668261i | ||||
\(330\) | −631183. | + | 1.31066e6i | −0.0175636 | + | 0.0364712i | ||||
\(331\) | −4.14229e6 | + | 945450.i | −0.114224 | + | 0.0260708i | −0.279251 | − | 0.960218i | \(-0.590086\pi\) |
0.165027 | + | 0.986289i | \(0.447229\pi\) | |||||||
\(332\) | −2.30909e7 | − | 1.11200e7i | −0.630997 | − | 0.303872i | ||||
\(333\) | −8.25316e6 | − | 6.58168e6i | −0.223505 | − | 0.178239i | ||||
\(334\) | 4.08340e7 | + | 9.32010e6i | 1.09593 | + | 0.250139i | ||||
\(335\) | −2.82755e7 | − | 2.25490e7i | −0.752101 | − | 0.599780i | ||||
\(336\) | −394275. | − | 1.72743e6i | −0.0103940 | − | 0.0455390i | ||||
\(337\) | 4.15530e6 | 0.108571 | 0.0542853 | − | 0.998525i | \(-0.482712\pi\) | ||||
0.0542853 | + | 0.998525i | \(0.482712\pi\) | |||||||
\(338\) | − | 2.83523e7i | − | 0.734240i | ||||||
\(339\) | 1.08754e6 | + | 4.76481e6i | 0.0279155 | + | 0.122306i | ||||
\(340\) | −6.81894e6 | + | 5.43793e6i | −0.173492 | + | 0.138356i | ||||
\(341\) | 4.46678e6 | − | 2.15109e6i | 0.112650 | − | 0.0542494i | ||||
\(342\) | −1.01265e7 | − | 4.87668e6i | −0.253153 | − | 0.121912i | ||||
\(343\) | 439359.i | 0.0108877i | ||||||||
\(344\) | −1.44972e7 | + | 4.14659e7i | −0.356130 | + | 1.01863i | ||||
\(345\) | 2.12741e6 | 0.0518077 | ||||||||
\(346\) | −4.54604e6 | + | 9.43996e6i | −0.109750 | + | 0.227899i | ||||
\(347\) | −2.59331e7 | − | 5.38506e7i | −0.620677 | − | 1.28885i | −0.939991 | − | 0.341200i | \(-0.889167\pi\) |
0.319314 | − | 0.947649i | \(-0.396548\pi\) | |||||||
\(348\) | 151453. | + | 189915.i | 0.00359368 | + | 0.00450633i | ||||
\(349\) | −6.23044e7 | + | 1.42206e7i | −1.46569 | + | 0.334534i | −0.879601 | − | 0.475711i | \(-0.842191\pi\) |
−0.586090 | + | 0.810246i | \(0.699333\pi\) | |||||||
\(350\) | 1.31700e7 | 0.307173 | ||||||||
\(351\) | − | 1.18470e6i | − | 0.0273960i | ||||||
\(352\) | 2.47500e7 | − | 5.64904e6i | 0.567477 | − | 0.129523i | ||||
\(353\) | −1.62729e7 | + | 2.04056e7i | −0.369948 | + | 0.463900i | −0.931606 | − | 0.363469i | \(-0.881592\pi\) |
0.561658 | + | 0.827369i | \(0.310164\pi\) | |||||||
\(354\) | 233319. | − | 1.02224e6i | 0.00525946 | − | 0.0230432i | ||||
\(355\) | −3.30811e7 | + | 4.14824e7i | −0.739426 | + | 0.927211i | ||||
\(356\) | −1.39325e7 | + | 2.89311e7i | −0.308801 | + | 0.641231i | ||||
\(357\) | −756267. | − | 3.31342e6i | −0.0166215 | − | 0.0728236i | ||||
\(358\) | 1.32277e7 | + | 6.37012e6i | 0.288294 | + | 0.138835i | ||||
\(359\) | −3.46189e7 | − | 4.34107e7i | −0.748221 | − | 0.938239i | 0.251339 | − | 0.967899i | \(-0.419129\pi\) |
−0.999560 | + | 0.0296598i | \(0.990558\pi\) | |||||||
\(360\) | −9.38303e6 | + | 4.11098e7i | −0.201111 | + | 0.881125i | ||||
\(361\) | −8.98948e6 | + | 3.93855e7i | −0.191079 | + | 0.837172i | ||||
\(362\) | −2.02510e7 | − | 4.20516e7i | −0.426894 | − | 0.886455i | ||||
\(363\) | −1.49608e6 | + | 1.19308e6i | −0.0312777 | + | 0.0249431i | ||||
\(364\) | −3.66426e6 | − | 2.92215e6i | −0.0759770 | − | 0.0605896i | ||||
\(365\) | 5.08414e7 | − | 2.44839e7i | 1.04553 | − | 0.503503i | ||||
\(366\) | −107499. | − | 223224.i | −0.00219261 | − | 0.00455300i | ||||
\(367\) | 2.83224e7 | − | 3.55152e7i | 0.572970 | − | 0.718482i | −0.407926 | − | 0.913015i | \(-0.633748\pi\) |
0.980896 | + | 0.194533i | \(0.0623192\pi\) | |||||||
\(368\) | 8.35427e6 | + | 1.04759e7i | 0.167635 | + | 0.210208i | ||||
\(369\) | 2.46622e7 | − | 1.18767e7i | 0.490854 | − | 0.236383i | ||||
\(370\) | 9.04082e6 | + | 2.06351e6i | 0.178485 | + | 0.0407381i | ||||
\(371\) | −5.99950e7 | − | 1.36935e7i | −1.17488 | − | 0.268158i | ||||
\(372\) | −257379. | + | 205253.i | −0.00499970 | + | 0.00398712i | ||||
\(373\) | 3.65907e7 | − | 7.59814e7i | 0.705090 | − | 1.46413i | −0.172643 | − | 0.984984i | \(-0.555231\pi\) |
0.877733 | − | 0.479150i | \(-0.159055\pi\) | |||||||
\(374\) | −1.71340e7 | + | 3.91072e6i | −0.327524 | + | 0.0747552i | ||||
\(375\) | 4.47992e6 | + | 2.15742e6i | 0.0849526 | + | 0.0409110i | ||||
\(376\) | 3.39237e7 | + | 2.70532e7i | 0.638175 | + | 0.508927i | ||||
\(377\) | −1.27094e6 | − | 290085.i | −0.0237193 | − | 0.00541378i | ||||
\(378\) | −7.78987e6 | − | 6.21221e6i | −0.144230 | − | 0.115019i | ||||
\(379\) | 2.68155e6 | + | 1.17486e7i | 0.0492571 | + | 0.215809i | 0.993567 | − | 0.113249i | \(-0.0361258\pi\) |
−0.944310 | + | 0.329058i | \(0.893269\pi\) | |||||||
\(380\) | −7.53270e6 | −0.137278 | ||||||||
\(381\) | − | 6.80133e6i | − | 0.122976i | ||||||
\(382\) | 1.64589e6 | + | 7.21109e6i | 0.0295263 | + | 0.129363i | ||||
\(383\) | 8.13855e7 | − | 6.49028e7i | 1.44861 | − | 1.15523i | 0.489564 | − | 0.871967i | \(-0.337156\pi\) |
0.959044 | − | 0.283259i | \(-0.0914155\pi\) | |||||||
\(384\) | −252120. | + | 121415.i | −0.00445260 | + | 0.00214426i | ||||
\(385\) | 4.51313e7 | + | 2.17341e7i | 0.790854 | + | 0.380855i | ||||
\(386\) | 5.47701e7i | 0.952318i | ||||||||
\(387\) | 1.90135e7 | + | 5.42912e7i | 0.328042 | + | 0.936691i | ||||
\(388\) | −4.36941e7 | −0.748045 | ||||||||
\(389\) | −2.52969e7 | + | 5.25296e7i | −0.429753 | + | 0.892391i | 0.567846 | + | 0.823135i | \(0.307777\pi\) |
−0.997599 | + | 0.0692562i | \(0.977937\pi\) | |||||||
\(390\) | 224924. | + | 467060.i | 0.00379178 | + | 0.00787370i | ||||
\(391\) | 1.60245e7 | + | 2.00941e7i | 0.268074 | + | 0.336154i | ||||
\(392\) | −6.38576e7 | + | 1.45751e7i | −1.06012 | + | 0.241965i | ||||
\(393\) | 2.40250e6 | 0.0395810 | ||||||||
\(394\) | 7.73375e6i | 0.126445i | ||||||||
\(395\) | 2.03242e7 | − | 4.63887e6i | 0.329779 | − | 0.0752698i | ||||
\(396\) | 1.22075e7 | − | 1.53077e7i | 0.196580 | − | 0.246504i | ||||
\(397\) | −2.06807e7 | + | 9.06083e7i | −0.330518 | + | 1.44809i | 0.487613 | + | 0.873060i | \(0.337868\pi\) |
−0.818131 | + | 0.575032i | \(0.804989\pi\) | |||||||
\(398\) | −4.33089e7 | + | 5.43076e7i | −0.686954 | + | 0.861413i | ||||
\(399\) | 1.27358e6 | − | 2.64461e6i | 0.0200496 | − | 0.0416335i | ||||
\(400\) | 1.55757e6 | + | 6.82416e6i | 0.0243370 | + | 0.106628i | ||||
\(401\) | 7.23519e7 | + | 3.48428e7i | 1.12206 | + | 0.540356i | 0.900529 | − | 0.434797i | \(-0.143180\pi\) |
0.221533 | + | 0.975153i | \(0.428894\pi\) | |||||||
\(402\) | 3.01705e6 | + | 3.78326e6i | 0.0464413 | + | 0.0582356i | ||||
\(403\) | 393130. | − | 1.72242e6i | 0.00600650 | − | 0.0263162i | ||||
\(404\) | −2.99510e6 | + | 1.31224e7i | −0.0454221 | + | 0.199007i | ||||
\(405\) | 2.37757e7 | + | 4.93707e7i | 0.357905 | + | 0.743198i | ||||
\(406\) | −8.57186e6 | + | 6.83583e6i | −0.128085 | + | 0.102144i | ||||
\(407\) | −1.11456e7 | − | 8.88829e6i | −0.165317 | − | 0.131836i | ||||
\(408\) | 3.48096e6 | − | 1.67634e6i | 0.0512530 | − | 0.0246821i | ||||
\(409\) | −5.25467e7 | − | 1.09114e8i | −0.768026 | − | 1.59482i | −0.803394 | − | 0.595448i | \(-0.796975\pi\) |
0.0353684 | − | 0.999374i | \(-0.488740\pi\) | |||||||
\(410\) | −1.49927e7 | + | 1.88002e7i | −0.217534 | + | 0.272779i | ||||
\(411\) | 3.71883e6 | + | 4.66327e6i | 0.0535650 | + | 0.0671684i | ||||
\(412\) | −3.19653e7 | + | 1.53937e7i | −0.457075 | + | 0.220116i | ||||
\(413\) | −3.51997e7 | − | 8.03410e6i | −0.499676 | − | 0.114048i | ||||
\(414\) | 3.65903e7 | + | 8.35150e6i | 0.515662 | + | 0.117697i | ||||
\(415\) | 7.63171e7 | − | 6.08608e7i | 1.06777 | − | 0.851517i | ||||
\(416\) | 3.92517e6 | − | 8.15069e6i | 0.0545228 | − | 0.113218i | ||||
\(417\) | −2.18363e6 | + | 498399.i | −0.0301142 | + | 0.00687336i | ||||
\(418\) | −1.36755e7 | − | 6.58576e6i | −0.187246 | − | 0.0901731i | ||||
\(419\) | 4.74066e6 | + | 3.78055e6i | 0.0644461 | + | 0.0513940i | 0.655183 | − | 0.755470i | \(-0.272591\pi\) |
−0.590737 | + | 0.806864i | \(0.701163\pi\) | |||||||
\(420\) | −3.24277e6 | − | 740140.i | −0.0437691 | − | 0.00999001i | ||||
\(421\) | 9.90509e7 | + | 7.89905e7i | 1.32743 | + | 1.05859i | 0.993239 | + | 0.116087i | \(0.0370352\pi\) |
0.334193 | + | 0.942505i | \(0.391536\pi\) | |||||||
\(422\) | −1.45259e7 | − | 6.36423e7i | −0.193289 | − | 0.846854i | ||||
\(423\) | 5.68210e7 | 0.750737 | ||||||||
\(424\) | − | 6.99564e7i | − | 0.917762i | ||||||
\(425\) | 2.98761e6 | + | 1.30896e7i | 0.0389186 | + | 0.170513i | ||||
\(426\) | 5.55034e6 | − | 4.42625e6i | 0.0717945 | − | 0.0572542i | ||||
\(427\) | −7.68648e6 | + | 3.70161e6i | −0.0987288 | + | 0.0475453i | ||||
\(428\) | 5.29943e7 | + | 2.55207e7i | 0.675923 | + | 0.325508i | ||||
\(429\) | − | 796923.i | − | 0.0100936i | ||||||
\(430\) | −3.57421e7 | − | 3.57231e7i | −0.449547 | − | 0.449308i | ||||
\(431\) | −1.06466e8 | −1.32978 | −0.664890 | − | 0.746941i | \(-0.731522\pi\) | ||||
−0.664890 | + | 0.746941i | \(0.731522\pi\) | |||||||
\(432\) | 2.29763e6 | − | 4.77108e6i | 0.0284989 | − | 0.0591787i | ||||
\(433\) | 1.39680e7 | + | 2.90048e7i | 0.172056 | + | 0.357278i | 0.969110 | − | 0.246631i | \(-0.0793234\pi\) |
−0.797053 | + | 0.603909i | \(0.793609\pi\) | |||||||
\(434\) | −9.26410e6 | − | 1.16168e7i | −0.113327 | − | 0.142108i | ||||
\(435\) | −901979. | + | 205871.i | −0.0109579 | + | 0.00250108i | ||||
\(436\) | 3.13560e7 | 0.378321 | ||||||||
\(437\) | 2.21974e7i | 0.265985i | ||||||||
\(438\) | −7.36099e6 | + | 1.68010e6i | −0.0876019 | + | 0.0199946i | ||||
\(439\) | −2.47684e7 | + | 3.10585e7i | −0.292755 | + | 0.367103i | −0.906357 | − | 0.422512i | \(-0.861148\pi\) |
0.613603 | + | 0.789615i | \(0.289720\pi\) | |||||||
\(440\) | −1.26714e7 | + | 5.55171e7i | −0.148753 | + | 0.651731i | ||||
\(441\) | −5.34796e7 | + | 6.70613e7i | −0.623552 | + | 0.781909i | ||||
\(442\) | −2.71732e6 | + | 5.64256e6i | −0.0314683 | + | 0.0653446i | ||||
\(443\) | −2.04106e7 | − | 8.94248e7i | −0.234771 | − | 1.02860i | −0.945625 | − | 0.325260i | \(-0.894548\pi\) |
0.710853 | − | 0.703340i | \(-0.248309\pi\) | |||||||
\(444\) | 852851. | + | 410711.i | 0.00974370 | + | 0.00469232i | ||||
\(445\) | −7.62537e7 | − | 9.56191e7i | −0.865328 | − | 1.08509i | ||||
\(446\) | −1.97725e7 | + | 8.66288e7i | −0.222872 | + | 0.976468i | ||||
\(447\) | −698457. | + | 3.06014e6i | −0.00782019 | + | 0.0342625i | ||||
\(448\) | −5.40156e7 | − | 1.12164e8i | −0.600738 | − | 1.24744i | ||||
\(449\) | −2.36662e7 | + | 1.88731e7i | −0.261450 | + | 0.208500i | −0.745438 | − | 0.666575i | \(-0.767759\pi\) |
0.483987 | + | 0.875075i | \(0.339188\pi\) | |||||||
\(450\) | 1.53287e7 | + | 1.22242e7i | 0.168216 | + | 0.134148i | ||||
\(451\) | 3.33053e7 | − | 1.60390e7i | 0.363064 | − | 0.174843i | ||||
\(452\) | 2.50720e7 | + | 5.20625e7i | 0.271502 | + | 0.563780i | ||||
\(453\) | 4.26484e6 | − | 5.34794e6i | 0.0458784 | − | 0.0575296i | ||||
\(454\) | −2.34705e7 | − | 2.94311e7i | −0.250816 | − | 0.314513i | ||||
\(455\) | 1.60827e7 | − | 7.74503e6i | 0.170736 | − | 0.0822222i | ||||
\(456\) | 3.25319e6 | + | 742519.i | 0.0343095 | + | 0.00783093i | ||||
\(457\) | −4.99753e7 | − | 1.14065e7i | −0.523609 | − | 0.119510i | −0.0474570 | − | 0.998873i | \(-0.515112\pi\) |
−0.476152 | + | 0.879363i | \(0.657969\pi\) | |||||||
\(458\) | −4.79323e6 | + | 3.82247e6i | −0.0498921 | + | 0.0397876i | ||||
\(459\) | 4.40713e6 | − | 9.15150e6i | 0.0455741 | − | 0.0946355i | ||||
\(460\) | 2.45226e7 | − | 5.59712e6i | 0.251937 | − | 0.0575031i | ||||
\(461\) | −6.83480e7 | − | 3.29147e7i | −0.697627 | − | 0.335959i | 0.0512339 | − | 0.998687i | \(-0.483685\pi\) |
−0.748861 | + | 0.662727i | \(0.769399\pi\) | |||||||
\(462\) | −5.24008e6 | − | 4.17882e6i | −0.0531388 | − | 0.0423768i | ||||
\(463\) | −3.01568e7 | − | 6.88308e6i | −0.303838 | − | 0.0693490i | 0.0678839 | − | 0.997693i | \(-0.478375\pi\) |
−0.371722 | + | 0.928344i | \(0.621232\pi\) | |||||||
\(464\) | −4.55580e6 | − | 3.63313e6i | −0.0456048 | − | 0.0363686i | ||||
\(465\) | −279002. | − | 1.22239e6i | −0.00277490 | − | 0.0121576i | ||||
\(466\) | 1.42589e8 | 1.40906 | ||||||||
\(467\) | 1.73581e6i | 0.0170432i | 0.999964 | + | 0.00852160i | \(0.00271254\pi\) | ||||
−0.999964 | + | 0.00852160i | \(0.997287\pi\) | |||||||
\(468\) | −1.55256e6 | − | 6.80221e6i | −0.0151464 | − | 0.0663609i | ||||
\(469\) | 1.30273e8 | − | 1.03889e8i | 1.26280 | − | 1.00705i | ||||
\(470\) | −4.49725e7 | + | 2.16576e7i | −0.433165 | + | 0.208601i | ||||
\(471\) | 8.92635e6 | + | 4.29870e6i | 0.0854301 | + | 0.0411410i | ||||
\(472\) | − | 4.10442e7i | − | 0.390324i | ||||||
\(473\) | 2.56770e7 | + | 7.33180e7i | 0.242639 | + | 0.692831i | ||||
\(474\) | −2.78931e6 | −0.0261916 | ||||||||
\(475\) | −5.03122e6 | + | 1.04474e7i | −0.0469453 | + | 0.0974829i | ||||
\(476\) | −1.74349e7 | − | 3.62040e7i | −0.161659 | − | 0.335688i | ||||
\(477\) | −5.71184e7 | − | 7.16242e7i | −0.526285 | − | 0.659940i | ||||
\(478\) | −1.03908e8 | + | 2.37162e7i | −0.951401 | + | 0.217151i | ||||
\(479\) | 1.28183e8 | 1.16633 | 0.583167 | − | 0.812352i | \(-0.301813\pi\) | ||||
0.583167 | + | 0.812352i | \(0.301813\pi\) | |||||||
\(480\) | − | 6.42029e6i | − | 0.0580539i | ||||||
\(481\) | −4.95270e6 | + | 1.13042e6i | −0.0445048 | + | 0.0101579i | ||||
\(482\) | 7.18996e7 | − | 9.01592e7i | 0.642074 | − | 0.805136i | ||||
\(483\) | −2.18105e6 | + | 9.55579e6i | −0.0193564 | + | 0.0848057i | ||||
\(484\) | −1.41063e7 | + | 1.76888e7i | −0.124416 | + | 0.156013i | ||||
\(485\) | 7.22060e7 | − | 1.49937e8i | 0.632919 | − | 1.31427i | ||||
\(486\) | −4.95713e6 | − | 2.17186e7i | −0.0431838 | − | 0.189201i | ||||
\(487\) | −3.78494e7 | − | 1.82273e7i | −0.327697 | − | 0.157811i | 0.262800 | − | 0.964850i | \(-0.415354\pi\) |
−0.590497 | + | 0.807040i | \(0.701068\pi\) | |||||||
\(488\) | −6.04689e6 | − | 7.58256e6i | −0.0520323 | − | 0.0652464i | ||||
\(489\) | −1.33607e6 | + | 5.85372e6i | −0.0114262 | + | 0.0500617i | ||||
\(490\) | 1.67671e7 | − | 7.34614e7i | 0.142518 | − | 0.624412i | ||||
\(491\) | 8.35082e7 | + | 1.73407e8i | 0.705480 | + | 1.46494i | 0.877363 | + | 0.479827i | \(0.159300\pi\) |
−0.171883 | + | 0.985117i | \(0.554985\pi\) | |||||||
\(492\) | −1.91907e6 | + | 1.53041e6i | −0.0161137 | + | 0.0128503i | ||||
\(493\) | −8.73858e6 | − | 6.96878e6i | −0.0729289 | − | 0.0581589i | ||||
\(494\) | −4.87330e6 | + | 2.34686e6i | −0.0404243 | + | 0.0194673i | ||||
\(495\) | 3.23554e7 | + | 6.71866e7i | 0.266766 | + | 0.553945i | ||||
\(496\) | 4.92372e6 | − | 6.17414e6i | 0.0403504 | − | 0.0505978i | ||||
\(497\) | −1.52413e8 | − | 1.91120e8i | −1.24152 | − | 1.55682i | ||||
\(498\) | −1.17672e7 | + | 5.66680e6i | −0.0952766 | + | 0.0458828i | ||||
\(499\) | 8.32958e7 | + | 1.90117e7i | 0.670380 | + | 0.153010i | 0.544146 | − | 0.838991i | \(-0.316854\pi\) |
0.126234 | + | 0.992000i | \(0.459711\pi\) | |||||||
\(500\) | 5.73159e7 | + | 1.30820e7i | 0.458528 | + | 0.104656i | ||||
\(501\) | −1.27312e7 | + | 1.01528e7i | −0.101241 | + | 0.0807366i | ||||
\(502\) | −2.64983e6 | + | 5.50244e6i | −0.0209463 | + | 0.0434955i | ||||
\(503\) | −5.82375e7 | + | 1.32923e7i | −0.457613 | + | 0.104447i | −0.445113 | − | 0.895475i | \(-0.646836\pi\) |
−0.0125006 | + | 0.999922i | \(0.503979\pi\) | |||||||
\(504\) | −1.75035e8 | − | 8.42924e7i | −1.36720 | − | 0.658411i | ||||
\(505\) | −4.00803e7 | − | 3.19629e7i | −0.311212 | − | 0.248183i | ||||
\(506\) | 4.94137e7 | + | 1.12784e7i | 0.381414 | + | 0.0870552i | ||||
\(507\) | 8.61799e6 | + | 6.87262e6i | 0.0661275 | + | 0.0527349i | ||||
\(508\) | −1.78940e7 | − | 7.83987e7i | −0.136495 | − | 0.598023i | ||||
\(509\) | 4.11004e7 | 0.311669 | 0.155834 | − | 0.987783i | \(-0.450193\pi\) | ||||
0.155834 | + | 0.987783i | \(0.450193\pi\) | |||||||
\(510\) | 4.44464e6i | 0.0335063i | ||||||||
\(511\) | 5.78523e7 | + | 2.53468e8i | 0.433569 | + | 1.89959i | ||||
\(512\) | 7.46408e7 | − | 5.95240e7i | 0.556117 | − | 0.443489i | ||||
\(513\) | 7.90386e6 | − | 3.80630e6i | 0.0585446 | − | 0.0281936i | ||||
\(514\) | −3.43255e7 | − | 1.65303e7i | −0.252771 | − | 0.121728i | ||||
\(515\) | − | 1.35128e8i | − | 0.989291i | ||||||
\(516\) | −2.74555e6 | − | 4.36694e6i | −0.0199839 | − | 0.0317854i | ||||
\(517\) | 7.67345e7 | 0.555289 | ||||||||
\(518\) | −1.85375e7 | + | 3.84935e7i | −0.133371 | + | 0.276948i | ||||
\(519\) | −1.76741e6 | − | 3.67007e6i | −0.0126426 | − | 0.0262526i | ||||
\(520\) | 1.26522e7 | + | 1.58653e7i | 0.0899818 | + | 0.112834i | ||||
\(521\) | 2.26119e7 | − | 5.16102e6i | 0.159891 | − | 0.0364940i | −0.141826 | − | 0.989892i | \(-0.545297\pi\) |
0.301717 | + | 0.953398i | \(0.402440\pi\) | |||||||
\(522\) | −1.63217e7 | −0.114751 | ||||||||
\(523\) | 1.45802e8i | 1.01920i | 0.860412 | + | 0.509599i | \(0.170206\pi\) | ||||
−0.860412 | + | 0.509599i | \(0.829794\pi\) | |||||||
\(524\) | 2.76936e7 | − | 6.32088e6i | 0.192480 | − | 0.0439322i | ||||
\(525\) | −3.19243e6 | + | 4.00318e6i | −0.0220619 | + | 0.0276648i | ||||
\(526\) | −3.20854e7 | + | 1.40575e8i | −0.220470 | + | 0.965943i | ||||
\(527\) | 9.44428e6 | − | 1.18428e7i | 0.0645263 | − | 0.0809135i | ||||
\(528\) | 1.54557e6 | − | 3.20940e6i | 0.0104999 | − | 0.0218033i | ||||
\(529\) | 1.64475e7 | + | 7.20611e7i | 0.111105 | + | 0.486781i | ||||
\(530\) | 7.25078e7 | + | 3.49179e7i | 0.487031 | + | 0.234542i | ||||
\(531\) | −3.35120e7 | − | 4.20227e7i | −0.223829 | − | 0.280673i | ||||
\(532\) | 7.72262e6 | − | 3.38350e7i | 0.0512896 | − | 0.224715i | ||||
\(533\) | 2.93127e6 | − | 1.28427e7i | 0.0193586 | − | 0.0848156i | ||||
\(534\) | 7.10005e6 | + | 1.47434e7i | 0.0466270 | + | 0.0968219i | ||||
\(535\) | −1.75150e8 | + | 1.39677e8i | −1.14379 | + | 0.912145i | ||||
\(536\) | 1.48094e8 | + | 1.18101e8i | 0.961711 | + | 0.766939i | ||||
\(537\) | −5.14267e6 | + | 2.47658e6i | −0.0332098 | + | 0.0159930i | ||||
\(538\) | 2.80117e7 | + | 5.81669e7i | 0.179884 | + | 0.373533i | ||||
\(539\) | −7.22220e7 | + | 9.05635e7i | −0.461215 | + | 0.578345i | ||||
\(540\) | −6.19799e6 | − | 7.77203e6i | −0.0393613 | − | 0.0493575i | ||||
\(541\) | −2.63767e8 | + | 1.27024e8i | −1.66583 | + | 0.802219i | −0.667485 | + | 0.744623i | \(0.732629\pi\) |
−0.998340 | + | 0.0575962i | \(0.981656\pi\) | |||||||
\(542\) | 1.96625e8 | + | 4.48784e7i | 1.23493 | + | 0.281864i | ||||
\(543\) | 1.76909e7 | + | 4.03783e6i | 0.110497 | + | 0.0252202i | ||||
\(544\) | 6.06417e7 | − | 4.83602e7i | 0.376682 | − | 0.300394i | ||||
\(545\) | −5.18168e7 | + | 1.07599e8i | −0.320097 | + | 0.664687i | ||||
\(546\) | −2.32851e6 | + | 531468.i | −0.0143054 | + | 0.00326512i | ||||
\(547\) | 4.47452e7 | + | 2.15481e7i | 0.273391 | + | 0.131658i | 0.565556 | − | 0.824710i | \(-0.308662\pi\) |
−0.292165 | + | 0.956368i | \(0.594376\pi\) | |||||||
\(548\) | 5.51357e7 | + | 4.39693e7i | 0.335036 | + | 0.267182i | ||||
\(549\) | −1.23821e7 | − | 2.82613e6i | −0.0748303 | − | 0.0170795i | ||||
\(550\) | 2.07008e7 | + | 1.65083e7i | 0.124422 | + | 0.0992234i | ||||
\(551\) | −2.14806e6 | − | 9.41124e6i | −0.0128408 | − | 0.0562590i | ||||
\(552\) | −1.11424e7 | −0.0662464 | ||||||||
\(553\) | 9.60470e7i | 0.567948i | ||||||||
\(554\) | −1.72702e6 | − | 7.56658e6i | −0.0101571 | − | 0.0445011i | ||||
\(555\) | −2.81873e6 | + | 2.24786e6i | −0.0164882 | + | 0.0131489i | ||||
\(556\) | −2.38593e7 | + | 1.14901e7i | −0.138814 | + | 0.0668494i | ||||
\(557\) | −1.65874e8 | − | 7.98808e7i | −0.959872 | − | 0.462250i | −0.112735 | − | 0.993625i | \(-0.535961\pi\) |
−0.847137 | + | 0.531375i | \(0.821676\pi\) | |||||||
\(558\) | − | 2.21197e7i | − | 0.127314i | ||||||
\(559\) | 2.61320e7 | + | 9.13619e6i | 0.149602 | + | 0.0523034i | ||||
\(560\) | 7.97898e7 | 0.454343 | ||||||||
\(561\) | 2.96458e6 | − | 6.15602e6i | 0.0167909 | − | 0.0348667i | ||||
\(562\) | 1.06728e7 | + | 2.21624e7i | 0.0601271 | + | 0.124855i | ||||
\(563\) | −1.32434e8 | − | 1.66067e8i | −0.742121 | − | 0.930590i | 0.257240 | − | 0.966348i | \(-0.417187\pi\) |
−0.999360 | + | 0.0357574i | \(0.988616\pi\) | |||||||
\(564\) | −4.96750e6 | + | 1.13380e6i | −0.0276886 | + | 0.00631973i | ||||
\(565\) | −2.20086e8 | −1.22024 | ||||||||
\(566\) | 2.19487e8i | 1.21048i | ||||||||
\(567\) | −2.46136e8 | + | 5.61789e7i | −1.35029 | + | 0.308194i | ||||
\(568\) | 1.73264e8 | − | 2.17266e8i | 0.945503 | − | 1.18562i | ||||
\(569\) | −1.85537e7 | + | 8.12893e7i | −0.100715 | + | 0.441262i | 0.899277 | + | 0.437379i | \(0.144093\pi\) |
−0.999992 | + | 0.00388303i | \(0.998764\pi\) | |||||||
\(570\) | −2.39339e6 | + | 3.00121e6i | −0.0129238 | + | 0.0162059i | ||||
\(571\) | 5.65005e7 | − | 1.17325e8i | 0.303490 | − | 0.630203i | −0.692326 | − | 0.721585i | \(-0.743414\pi\) |
0.995816 | + | 0.0913815i | \(0.0291283\pi\) | |||||||
\(572\) | −2.09667e6 | − | 9.18610e6i | −0.0112032 | − | 0.0490844i | ||||
\(573\) | −2.59086e6 | − | 1.24769e6i | −0.0137714 | − | 0.00663198i | ||||
\(574\) | −6.90752e7 | − | 8.66176e7i | −0.365247 | − | 0.458005i | ||||
\(575\) | 8.61615e6 | − | 3.77498e7i | 0.0453221 | − | 0.198569i | ||||
\(576\) | 4.12402e7 | − | 1.80685e8i | 0.215801 | − | 0.945486i | ||||
\(577\) | −3.06430e7 | − | 6.36308e7i | −0.159516 | − | 0.331238i | 0.805858 | − | 0.592109i | \(-0.201704\pi\) |
−0.965374 | + | 0.260871i | \(0.915990\pi\) | |||||||
\(578\) | 7.17245e7 | − | 5.71984e7i | 0.371436 | − | 0.296211i | ||||
\(579\) | −1.66480e7 | − | 1.32763e7i | −0.0857681 | − | 0.0683978i | ||||
\(580\) | −9.85544e6 | + | 4.74613e6i | −0.0505117 | + | 0.0243252i | ||||
\(581\) | 1.95130e8 | + | 4.05192e8i | 0.994938 | + | 2.06601i | ||||
\(582\) | −1.38831e7 | + | 1.74088e7i | −0.0704233 | + | 0.0883080i | ||||
\(583\) | −7.71361e7 | − | 9.67256e7i | −0.389271 | − | 0.488130i | ||||
\(584\) | −2.66284e8 | + | 1.28236e8i | −1.33692 | + | 0.643829i | ||||
\(585\) | 2.59076e7 | + | 5.91323e6i | 0.129407 | + | 0.0295364i | ||||
\(586\) | 8.13689e7 | + | 1.85719e7i | 0.404358 | + | 0.0922920i | ||||
\(587\) | 1.10311e8 | − | 8.79702e7i | 0.545387 | − | 0.434932i | −0.311642 | − | 0.950200i | \(-0.600879\pi\) |
0.857029 | + | 0.515268i | \(0.172307\pi\) | |||||||
\(588\) | 3.33725e6 | − | 6.92986e6i | 0.0164156 | − | 0.0340873i | ||||
\(589\) | 1.27544e7 | − | 2.91110e6i | 0.0624185 | − | 0.0142466i | ||||
\(590\) | 4.25411e7 | + | 2.04867e7i | 0.207135 | + | 0.0997507i | ||||
\(591\) | −2.35076e6 | − | 1.87467e6i | −0.0113880 | − | 0.00908159i | ||||
\(592\) | −2.21381e7 | − | 5.05288e6i | −0.106703 | − | 0.0243542i | ||||
\(593\) | 1.79045e8 | + | 1.42783e8i | 0.858613 | + | 0.684721i | 0.950391 | − | 0.311059i | \(-0.100684\pi\) |
−0.0917780 | + | 0.995779i | \(0.529255\pi\) | |||||||
\(594\) | −4.45732e6 | − | 1.95288e7i | −0.0212674 | − | 0.0931786i | ||||
\(595\) | 1.53047e8 | 0.726562 | ||||||||
\(596\) | 3.71117e7i | 0.175296i | ||||||||
\(597\) | −6.00929e6 | − | 2.63284e7i | −0.0282423 | − | 0.123738i | ||||
\(598\) | 1.41211e7 | − | 1.12612e7i | 0.0660338 | − | 0.0526602i | ||||
\(599\) | −9.09512e7 | + | 4.37998e7i | −0.423183 | + | 0.203794i | −0.633340 | − | 0.773874i | \(-0.718317\pi\) |
0.210158 | + | 0.977668i | \(0.432602\pi\) | |||||||
\(600\) | −5.24429e6 | − | 2.52552e6i | −0.0242791 | − | 0.0116922i | ||||
\(601\) | − | 1.62986e8i | − | 0.750803i | −0.926862 | − | 0.375402i | \(-0.877505\pi\) | ||
0.926862 | − | 0.375402i | \(-0.122495\pi\) | |||||||
\(602\) | 1.97102e8 | − | 1.23921e8i | 0.903446 | − | 0.568008i | ||||
\(603\) | 2.48053e8 | 1.13134 | ||||||||
\(604\) | 3.50904e7 | − | 7.28660e7i | 0.159249 | − | 0.330685i | ||||
\(605\) | −3.73882e7 | − | 7.76373e7i | −0.168837 | − | 0.350594i | ||||
\(606\) | 4.27664e6 | + | 5.36274e6i | 0.0192170 | + | 0.0240973i | ||||
\(607\) | −2.31342e8 | + | 5.28024e7i | −1.03440 | + | 0.236095i | −0.705828 | − | 0.708383i | \(-0.749425\pi\) |
−0.328573 | + | 0.944479i | \(0.606568\pi\) | |||||||
\(608\) | 6.69893e7 | 0.298054 | ||||||||
\(609\) | − | 4.26252e6i | − | 0.0188719i | ||||||
\(610\) | 1.08773e7 | − | 2.48268e6i | 0.0479218 | − | 0.0109378i | ||||
\(611\) | 1.70491e7 | − | 2.13789e7i | 0.0747442 | − | 0.0937263i | ||||
\(612\) | 1.33113e7 | − | 5.83208e7i | 0.0580721 | − | 0.254431i | ||||
\(613\) | 6.52690e7 | − | 8.18448e7i | 0.283352 | − | 0.355312i | −0.619704 | − | 0.784836i | \(-0.712747\pi\) |
0.903055 | + | 0.429524i | \(0.141319\pi\) | |||||||
\(614\) | −1.34571e8 | + | 2.79441e8i | −0.581364 | + | 1.20721i | ||||
\(615\) | −2.08030e6 | − | 9.11438e6i | −0.00894335 | − | 0.0391834i | ||||
\(616\) | −2.36378e8 | − | 1.13833e8i | −1.01126 | − | 0.486999i | ||||
\(617\) | −1.92922e8 | − | 2.41916e8i | −0.821344 | − | 1.02993i | −0.998949 | − | 0.0458314i | \(-0.985406\pi\) |
0.177605 | − | 0.984102i | \(-0.443165\pi\) | |||||||
\(618\) | −4.02321e6 | + | 1.76268e7i | −0.0170454 | + | 0.0746808i | ||||
\(619\) | 7.13660e7 | − | 3.12675e8i | 0.300898 | − | 1.31832i | −0.567877 | − | 0.823114i | \(-0.692235\pi\) |
0.868775 | − | 0.495207i | \(-0.164908\pi\) | |||||||
\(620\) | −6.43208e6 | − | 1.33564e7i | −0.0269884 | − | 0.0560419i | ||||
\(621\) | −2.29026e7 | + | 1.82642e7i | −0.0956336 | + | 0.0762653i | ||||
\(622\) | 7.58236e7 | + | 6.04673e7i | 0.315089 | + | 0.251275i | ||||
\(623\) | 5.07673e8 | − | 2.44482e8i | 2.09952 | − | 1.01108i | ||||
\(624\) | −550768. | − | 1.14368e6i | −0.00226681 | − | 0.00470708i | ||||
\(625\) | −9.57930e7 | + | 1.20121e8i | −0.392368 | + | 0.492014i | ||||
\(626\) | −1.60952e8 | − | 2.01827e8i | −0.656103 | − | 0.822727i | ||||
\(627\) | 5.31676e6 | − | 2.56042e6i | 0.0215697 | − | 0.0103874i | ||||
\(628\) | 1.14203e8 | + | 2.60662e7i | 0.461105 | + | 0.105244i | ||||
\(629\) | −4.24635e7 | − | 9.69202e6i | −0.170633 | − | 0.0389460i | ||||
\(630\) | 1.74733e8 | − | 1.39345e8i | 0.698801 | − | 0.557275i | ||||
\(631\) | −4.56312e7 | + | 9.47542e7i | −0.181624 | + | 0.377147i | −0.971826 | − | 0.235700i | \(-0.924262\pi\) |
0.790201 | + | 0.612847i | \(0.209976\pi\) | |||||||
\(632\) | −1.06449e8 | + | 2.42963e7i | −0.421687 | + | 0.0962474i | ||||
\(633\) | 2.28659e7 | + | 1.10116e7i | 0.0901523 | + | 0.0434150i | ||||
\(634\) | −2.37142e8 | − | 1.89114e8i | −0.930551 | − | 0.742090i | ||||
\(635\) | 2.98597e8 | + | 6.81529e7i | 1.16618 | + | 0.266172i | ||||
\(636\) | 6.42267e6 | + | 5.12191e6i | 0.0249657 | + | 0.0199095i | ||||
\(637\) | 9.18528e6 | + | 4.02433e7i | 0.0355365 | + | 0.155695i | ||||
\(638\) | −2.20418e7 | −0.0848762 | ||||||||
\(639\) | − | 3.63913e8i | − | 1.39475i | ||||||
\(640\) | −2.80406e6 | − | 1.22854e7i | −0.0106966 | − | 0.0468651i | ||||
\(641\) | 4.88536e7 | − | 3.89594e7i | 0.185491 | − | 0.147924i | −0.526342 | − | 0.850273i | \(-0.676437\pi\) |
0.711833 | + | 0.702349i | \(0.247865\pi\) | |||||||
\(642\) | 2.70061e7 | − | 1.30055e7i | 0.102060 | − | 0.0491496i | ||||
\(643\) | −1.12694e8 | − | 5.42705e7i | −0.423904 | − | 0.204141i | 0.209755 | − | 0.977754i | \(-0.432733\pi\) |
−0.633659 | + | 0.773613i | \(0.718448\pi\) | |||||||
\(644\) | 1.15887e8i | 0.433889i | ||||||||
\(645\) | 1.95223e7 | − | 2.20490e6i | 0.0727533 | − | 0.00821692i | ||||
\(646\) | −4.63754e7 | −0.172024 | ||||||||
\(647\) | −6.99913e7 | + | 1.45338e8i | −0.258423 | + | 0.536621i | −0.989301 | − | 0.145887i | \(-0.953396\pi\) |
0.730878 | + | 0.682508i | \(0.239111\pi\) | |||||||
\(648\) | −1.24526e8 | − | 2.58582e8i | −0.457653 | − | 0.950326i | ||||
\(649\) | −4.52566e7 | − | 5.67499e7i | −0.165557 | − | 0.207602i | ||||
\(650\) | 9.19871e6 | − | 2.09954e6i | 0.0334955 | − | 0.00764513i | ||||
\(651\) | 5.77669e6 | 0.0209380 | ||||||||
\(652\) | 7.09907e7i | 0.256129i | ||||||||
\(653\) | −5.15400e7 | + | 1.17637e7i | −0.185099 | + | 0.0422478i | −0.314066 | − | 0.949401i | \(-0.601691\pi\) |
0.128966 | + | 0.991649i | \(0.458834\pi\) | |||||||
\(654\) | 9.96283e6 | − | 1.24930e7i | 0.0356164 | − | 0.0446615i | ||||
\(655\) | −2.40743e7 | + | 1.05476e8i | −0.0856703 | + | 0.375346i | ||||
\(656\) | 3.67123e7 | − | 4.60358e7i | 0.130047 | − | 0.163074i | ||||
\(657\) | −1.67930e8 | + | 3.48710e8i | −0.592150 | + | 1.22961i | ||||
\(658\) | −5.11742e7 | − | 2.24209e8i | −0.179628 | − | 0.787000i | ||||
\(659\) | 2.59599e8 | + | 1.25016e8i | 0.907084 | + | 0.436829i | 0.828442 | − | 0.560074i | \(-0.189227\pi\) |
0.0786416 | + | 0.996903i | \(0.474942\pi\) | |||||||
\(660\) | −4.16925e6 | − | 5.22808e6i | −0.0145020 | − | 0.0181849i | ||||
\(661\) | 2.00354e7 | − | 8.77806e7i | 0.0693733 | − | 0.303944i | −0.928324 | − | 0.371773i | \(-0.878750\pi\) |
0.997697 | + | 0.0678286i | \(0.0216071\pi\) | |||||||
\(662\) | −5.69657e6 | + | 2.49583e7i | −0.0196354 | + | 0.0860283i | ||||
\(663\) | −1.05644e6 | − | 2.19372e6i | −0.00362497 | − | 0.00752733i | ||||
\(664\) | −3.99714e8 | + | 3.18762e8i | −1.36535 | + | 1.08883i | ||||
\(665\) | 1.03344e8 | + | 8.24138e7i | 0.351414 | + | 0.280243i | ||||
\(666\) | −5.73050e7 | + | 2.75966e7i | −0.193986 | + | 0.0934185i | ||||
\(667\) | 1.39859e7 | + | 2.90420e7i | 0.0471317 | + | 0.0978700i | ||||
\(668\) | −1.20040e8 | + | 1.50525e8i | −0.402714 | + | 0.504987i | ||||
\(669\) | −2.15389e7 | − | 2.70090e7i | −0.0719359 | − | 0.0902048i | ||||
\(670\) | −1.96328e8 | + | 9.45466e7i | −0.652767 | + | 0.314356i | ||||
\(671\) | −1.67215e7 | − | 3.81658e6i | −0.0553488 | − | 0.0126330i | ||||
\(672\) | 2.88383e7 | + | 6.58216e6i | 0.0950304 | + | 0.0216901i | ||||
\(673\) | 1.61975e8 | − | 1.29171e8i | 0.531378 | − | 0.423760i | −0.320695 | − | 0.947182i | \(-0.603917\pi\) |
0.852073 | + | 0.523423i | \(0.175345\pi\) | |||||||
\(674\) | 1.08630e7 | − | 2.25573e7i | 0.0354790 | − | 0.0736728i | ||||
\(675\) | −1.49191e7 | + | 3.40519e6i | −0.0485100 | + | 0.0110721i | ||||
\(676\) | 1.17421e8 | + | 5.65469e7i | 0.380106 | + | 0.183049i | ||||
\(677\) | −3.47863e8 | − | 2.77412e8i | −1.12110 | − | 0.894044i | −0.125909 | − | 0.992042i | \(-0.540185\pi\) |
−0.995187 | + | 0.0979982i | \(0.968756\pi\) | |||||||
\(678\) | 2.87092e7 | + | 6.55268e6i | 0.0921153 | + | 0.0210247i | ||||
\(679\) | 5.99454e8 | + | 4.78049e8i | 1.91490 | + | 1.52708i | ||||
\(680\) | 3.87150e7 | + | 1.69622e8i | 0.123127 | + | 0.539454i | ||||
\(681\) | 1.46352e7 | 0.0463401 | ||||||||
\(682\) | − | 2.98717e7i | − | 0.0941687i | ||||||
\(683\) | −7.75309e6 | − | 3.39685e7i | −0.0243340 | − | 0.106614i | 0.961302 | − | 0.275495i | \(-0.0888418\pi\) |
−0.985636 | + | 0.168881i | \(0.945985\pi\) | |||||||
\(684\) | 4.03935e7 | − | 3.22127e7i | 0.126224 | − | 0.100660i | ||||
\(685\) | −2.41995e8 | + | 1.16539e8i | −0.752895 | + | 0.362575i | ||||
\(686\) | 2.38509e6 | + | 1.14860e6i | 0.00738809 | + | 0.00355792i | ||||
\(687\) | − | 2.38353e6i | − | 0.00735105i | ||||||
\(688\) | 8.75210e7 | + | 8.74745e7i | 0.268749 | + | 0.268606i | ||||
\(689\) | −4.40869e7 | −0.134788 | ||||||||
\(690\) | 5.56160e6 | − | 1.15488e7i | 0.0169298 | − | 0.0351552i | ||||
\(691\) | 4.92143e7 | + | 1.02194e8i | 0.149162 | + | 0.309737i | 0.962140 | − | 0.272557i | \(-0.0878694\pi\) |
−0.812978 | + | 0.582294i | \(0.802155\pi\) | |||||||
\(692\) | −3.00287e7 | − | 3.76548e7i | −0.0906188 | − | 0.113632i | ||||
\(693\) | −3.34956e8 | + | 7.64516e7i | −1.00644 | + | 0.229714i | ||||
\(694\) | −3.60127e8 | −1.07740 | ||||||||
\(695\) | − | 1.00862e8i | − | 0.300449i | ||||||
\(696\) | 4.72416e6 | − | 1.07826e6i | 0.0140119 | − | 0.00319812i | ||||
\(697\) | 7.04187e7 | − | 8.83022e7i | 0.207965 | − | 0.260779i | ||||
\(698\) | −8.56826e7 | + | 3.75400e8i | −0.251957 | + | 1.10390i | ||||
\(699\) | −3.45637e7 | + | 4.33415e7i | −0.101202 | + | 0.126903i | ||||
\(700\) | −2.62668e7 | + | 5.45436e7i | −0.0765796 | + | 0.159019i | ||||
\(701\) | −9.67754e7 | − | 4.24001e8i | −0.280938 | − | 1.23087i | −0.896593 | − | 0.442855i | \(-0.853966\pi\) |
0.615655 | − | 0.788016i | \(-0.288892\pi\) | |||||||
\(702\) | −6.43123e6 | − | 3.09712e6i | −0.0185901 | − | 0.00895254i | ||||
\(703\) | −2.34542e7 | − | 2.94106e7i | −0.0675078 | − | 0.0846521i | ||||
\(704\) | 5.56932e7 | − | 2.44008e8i | 0.159619 | − | 0.699336i | ||||
\(705\) | 4.31830e6 | − | 1.89197e7i | 0.0123238 | − | 0.0539942i | ||||
\(706\) | 6.82314e7 | + | 1.41684e8i | 0.193897 | + | 0.402630i | ||||
\(707\) | 1.84660e8 | − | 1.47262e8i | 0.522535 | − | 0.416707i | ||||
\(708\) | 3.76825e6 | + | 3.00508e6i | 0.0106179 | + | 0.00846752i | ||||
\(709\) | 1.32315e8 | − | 6.37195e7i | 0.371253 | − | 0.178786i | −0.238949 | − | 0.971032i | \(-0.576803\pi\) |
0.610202 | + | 0.792246i | \(0.291088\pi\) | |||||||
\(710\) | 1.38707e8 | + | 2.88028e8i | 0.387547 | + | 0.804749i | ||||
\(711\) | −8.91492e7 | + | 1.11790e8i | −0.248033 | + | 0.311023i | ||||
\(712\) | 3.99383e8 | + | 5.00810e8i | 1.10649 | + | 1.38750i | ||||
\(713\) | −3.93585e7 | + | 1.89541e7i | −0.108585 | + | 0.0522919i | ||||
\(714\) | −1.99642e7 | − | 4.55670e6i | −0.0548476 | − | 0.0125186i | ||||
\(715\) | 3.49871e7 | + | 7.98558e6i | 0.0957172 | + | 0.0218468i | ||||
\(716\) | −5.27636e7 | + | 4.20776e7i | −0.143746 | + | 0.114634i | ||||
\(717\) | 1.79785e7 | − | 3.73327e7i | 0.0487748 | − | 0.101282i | ||||
\(718\) | −3.26161e8 | + | 7.44440e7i | −0.881167 | + | 0.201121i | ||||
\(719\) | 4.07065e8 | + | 1.96032e8i | 1.09516 | + | 0.527400i | 0.892133 | − | 0.451773i | \(-0.149208\pi\) |
0.203025 | + | 0.979174i | \(0.434923\pi\) | |||||||
\(720\) | 9.28678e7 | + | 7.40596e7i | 0.248810 | + | 0.198419i | ||||
\(721\) | 6.06962e8 | + | 1.38535e8i | 1.61940 | + | 0.369619i | ||||
\(722\) | 1.90306e8 | + | 1.51764e8i | 0.505639 | + | 0.403234i | ||||
\(723\) | 9.97637e6 | + | 4.37093e7i | 0.0263972 | + | 0.115654i | ||||
\(724\) | 2.14546e8 | 0.565332 | ||||||||
\(725\) | 1.68389e7i | 0.0441877i | ||||||||
\(726\) | 2.56559e6 | + | 1.12406e7i | 0.00670468 | + | 0.0293751i | ||||
\(727\) | 3.22701e8 | − | 2.57345e8i | 0.839840 | − | 0.669750i | −0.106006 | − | 0.994366i | \(-0.533806\pi\) |
0.945846 | + | 0.324615i | \(0.105235\pi\) | |||||||
\(728\) | −8.42341e7 | + | 4.05650e7i | −0.218320 | + | 0.105137i | ||||
\(729\) | −3.33388e8 | − | 1.60551e8i | −0.860533 | − | 0.414411i | ||||
\(730\) | − | 3.40003e8i | − | 0.874005i | ||||||
\(731\) | 1.67876e8 | + | 1.67787e8i | 0.429770 | + | 0.429542i | ||||
\(732\) | 1.13888e6 | 0.00290365 | ||||||||
\(733\) | −1.64914e8 | + | 3.42448e8i | −0.418742 | + | 0.869526i | 0.579759 | + | 0.814788i | \(0.303147\pi\) |
−0.998501 | + | 0.0547383i | \(0.982568\pi\) | |||||||
\(734\) | −1.18754e8 | − | 2.46596e8i | −0.300304 | − | 0.623588i | ||||
\(735\) | 1.82651e7 | + | 2.29037e7i | 0.0460001 | + | 0.0576823i | ||||
\(736\) | −2.18082e8 | + | 4.97759e7i | −0.547000 | + | 0.124849i | ||||
\(737\) | 3.34986e8 | 0.836804 | ||||||||
\(738\) | − | 1.64929e8i | − | 0.410325i | ||||||
\(739\) | 2.59792e8 | − | 5.92959e7i | 0.643714 | − | 0.146924i | 0.111812 | − | 0.993729i | \(-0.464335\pi\) |
0.531902 | + | 0.846806i | \(0.321477\pi\) | |||||||
\(740\) | −2.65773e7 | + | 3.33269e7i | −0.0655868 | + | 0.0822433i | ||||
\(741\) | 467939. | − | 2.05018e6i | 0.00115010 | − | 0.00503891i | ||||
\(742\) | −2.31178e8 | + | 2.89888e8i | −0.565894 | + | 0.709609i | ||||
\(743\) | −1.02698e8 | + | 2.13255e8i | −0.250378 | + | 0.519916i | −0.987840 | − | 0.155473i | \(-0.950310\pi\) |
0.737462 | + | 0.675389i | \(0.236024\pi\) | |||||||
\(744\) | 1.46129e6 | + | 6.40231e6i | 0.00354827 | + | 0.0155460i | ||||
\(745\) | −1.27350e8 | − | 6.13284e7i | −0.307985 | − | 0.148318i | ||||
\(746\) | −3.16812e8 | − | 3.97270e8i | −0.763108 | − | 0.956907i | ||||
\(747\) | −1.48979e8 | + | 6.52722e8i | −0.357408 | + | 1.56591i | ||||
\(748\) | 1.79764e7 | − | 7.87599e7i | 0.0429535 | − | 0.188192i | ||||
\(749\) | −4.47829e8 | − | 9.29926e8i | −1.06578 | − | 2.21311i | ||||
\(750\) | 2.34234e7 | − | 1.86795e7i | 0.0555220 | − | 0.0442773i | ||||
\(751\) | 5.05111e7 | + | 4.02812e7i | 0.119252 | + | 0.0951005i | 0.681300 | − | 0.732004i | \(-0.261415\pi\) |
−0.562048 | + | 0.827105i | \(0.689986\pi\) | |||||||
\(752\) | 1.10123e8 | − | 5.30326e7i | 0.258956 | − | 0.124707i | ||||
\(753\) | −1.03020e6 | − | 2.13924e6i | −0.00241290 | − | 0.00501043i | ||||
\(754\) | −4.89732e6 | + | 6.14104e6i | −0.0114247 | + | 0.0143261i | ||||
\(755\) | 1.92053e8 | + | 2.40827e8i | 0.446253 | + | 0.559583i | ||||
\(756\) | 4.12642e7 | − | 1.98718e7i | 0.0955011 | − | 0.0459909i | ||||
\(757\) | 1.49884e8 | + | 3.42100e7i | 0.345515 | + | 0.0788615i | 0.391757 | − | 0.920069i | \(-0.371867\pi\) |
−0.0462421 | + | 0.998930i | \(0.514725\pi\) | |||||||
\(758\) | 7.07885e7 | + | 1.61570e7i | 0.162538 | + | 0.0370983i | ||||
\(759\) | −1.54061e7 | + | 1.22860e7i | −0.0352345 | + | 0.0280986i | ||||
\(760\) | −6.51972e7 | + | 1.35383e8i | −0.148521 | + | 0.308407i | ||||
\(761\) | −3.33341e8 | + | 7.60830e7i | −0.756372 | + | 0.172637i | −0.583283 | − | 0.812269i | \(-0.698232\pi\) |
−0.173089 | + | 0.984906i | \(0.555375\pi\) | |||||||
\(762\) | −3.69215e7 | − | 1.77804e7i | −0.0834477 | − | 0.0401863i | ||||
\(763\) | −4.30183e8 | − | 3.43059e8i | −0.968455 | − | 0.772317i | ||||
\(764\) | −3.31473e7 | − | 7.56566e6i | −0.0743307 | − | 0.0169655i | ||||
\(765\) | 1.78132e8 | + | 1.42055e8i | 0.397884 | + | 0.317302i | ||||
\(766\) | −1.39566e8 | − | 6.11479e8i | −0.310523 | − | 1.36049i | ||||
\(767\) | −2.58662e7 | −0.0573254 | ||||||||
\(768\) | 4.00889e7i | 0.0884995i | ||||||||
\(769\) | 2.97864e7 | + | 1.30503e8i | 0.0654997 | + | 0.286973i | 0.997061 | − | 0.0766112i | \(-0.0244100\pi\) |
−0.931561 | + | 0.363584i | \(0.881553\pi\) | |||||||
\(770\) | 2.35970e8 | − | 1.88180e8i | 0.516874 | − | 0.412193i | ||||
\(771\) | 1.33451e7 | − | 6.42666e6i | 0.0291178 | − | 0.0140224i | ||||
\(772\) | −2.26830e8 | − | 1.09236e8i | −0.493002 | − | 0.237417i | ||||
\(773\) | 1.93628e8i | 0.419207i | 0.977786 | + | 0.209604i | \(0.0672173\pi\) | ||||
−0.977786 | + | 0.209604i | \(0.932783\pi\) | |||||||
\(774\) | 3.44430e8 | + | 3.87152e7i | 0.742810 | + | 0.0834945i | ||||
\(775\) | −2.28206e7 | −0.0490255 | ||||||||
\(776\) | −3.78183e8 | + | 7.85304e8i | −0.809313 | + | 1.68055i | ||||
\(777\) | −7.20703e6 | − | 1.49655e7i | −0.0153636 | − | 0.0319029i | ||||
\(778\) | 2.19028e8 | + | 2.74652e8i | 0.465115 | + | 0.583235i | ||||
\(779\) | 9.50994e7 | − | 2.17058e7i | 0.201171 | − | 0.0459160i | ||||
\(780\) | −2.38292e6 | −0.00502142 | ||||||||
\(781\) | − | 4.91450e8i | − | 1.03163i | ||||||
\(782\) | 1.50974e8 | − | 3.44589e7i | 0.315706 | − | 0.0720578i | ||||
\(783\) | 7.94281e6 | − | 9.95997e6i | 0.0165458 | − | 0.0207478i | ||||
\(784\) | −4.10573e7 | + | 1.79884e8i | −0.0852005 | + | 0.373288i | ||||
\(785\) | −2.78171e8 | + | 3.48816e8i | −0.575047 | + | 0.721086i | ||||
\(786\) | 6.28077e6 | − | 1.30421e7i | 0.0129344 | − | 0.0268585i | ||||
\(787\) | −1.86848e8 | − | 8.18634e8i | −0.383322 | − | 1.67944i | −0.686990 | − | 0.726667i | \(-0.741068\pi\) |
0.303668 | − | 0.952778i | \(-0.401789\pi\) | |||||||
\(788\) | −3.20293e7 | − | 1.54245e7i | −0.0654588 | − | 0.0315233i | ||||
\(789\) | −3.49519e7 | − | 4.38282e7i | −0.0711605 | − | 0.0892325i | ||||
\(790\) | 2.79504e7 | − | 1.22459e8i | 0.0566899 | − | 0.248375i | ||||
\(791\) | 2.25635e8 | − | 9.88570e8i | 0.455907 | − | 1.99746i | ||||
\(792\) | −1.69463e8 | − | 3.51893e8i | −0.341113 | − | 0.708329i | ||||
\(793\) | −4.77857e6 | + | 3.81078e6i | −0.00958249 | + | 0.00764178i | ||||
\(794\) | 4.37808e8 | + | 3.49140e8i | 0.874626 | + | 0.697491i | ||||
\(795\) | −2.81896e7 | + | 1.35754e7i | −0.0561032 | + | 0.0270179i | ||||
\(796\) | −1.38538e8 | − | 2.87676e8i | −0.274681 | − | 0.570381i | ||||
\(797\) | 3.53611e7 | − | 4.43414e7i | 0.0698474 | − | 0.0875859i | −0.745680 | − | 0.666304i | \(-0.767875\pi\) |
0.815528 | + | 0.578718i | \(0.196447\pi\) | |||||||
\(798\) | −1.10270e7 | − | 1.38274e7i | −0.0216994 | − | 0.0272102i | ||||
\(799\) | 2.11230e8 | − | 1.01723e8i | 0.414109 | − | 0.199424i | ||||
\(800\) | −1.13925e8 | − | 2.60026e7i | −0.222509 | − | 0.0507863i | ||||
\(801\) | 8.17808e8 | + | 1.86659e8i | 1.59131 | + | 0.363205i | ||||
\(802\) | 3.78293e8 | − | 3.01679e8i | 0.733340 | − | 0.584819i | ||||
\(803\) | −2.26782e8 | + | 4.70918e8i | −0.437988 | + | 0.909492i | ||||
\(804\) | −2.16857e7 | + | 4.94962e6i | −0.0417258 | + | 0.00952365i | ||||
\(805\) | −3.97670e8 | − | 1.91508e8i | −0.762316 | − | 0.367112i | ||||
\(806\) | −8.32251e6 | − | 6.63698e6i | −0.0158946 | − | 0.0126755i | ||||
\(807\) | −2.44705e7 | − | 5.58524e6i | −0.0465611 | − | 0.0106273i | ||||
\(808\) | 2.09922e8 | + | 1.67408e8i | 0.397946 | + | 0.317352i | ||||
\(809\) | −1.08437e8 | − | 4.75092e8i | −0.204800 | − | 0.897289i | −0.967965 | − | 0.251085i | \(-0.919213\pi\) |
0.763165 | − | 0.646204i | \(-0.223645\pi\) | |||||||
\(810\) | 3.30168e8 | 0.621269 | ||||||||
\(811\) | 5.11753e6i | 0.00959396i | 0.999988 | + | 0.00479698i | \(0.00152693\pi\) | ||||
−0.999988 | + | 0.00479698i | \(0.998473\pi\) | |||||||
\(812\) | −1.12145e7 | − | 4.91339e7i | −0.0209465 | − | 0.0917727i | ||||
\(813\) | −6.13034e7 | + | 4.88878e7i | −0.114081 | + | 0.0909764i | ||||
\(814\) | −7.73880e7 | + | 3.72681e7i | −0.143483 | + | 0.0690978i | ||||
\(815\) | −2.43606e8 | − | 1.17315e8i | −0.450003 | − | 0.216710i | ||||
\(816\) | − | 1.08835e7i | − | 0.0200308i | ||||||
\(817\) | 2.30059e7 | + | 2.03696e8i | 0.0421864 | + | 0.373522i | ||||
\(818\) | −7.29705e8 | −1.33318 | ||||||||
\(819\) | −5.31215e7 | + | 1.10308e8i | −0.0966982 | + | 0.200796i | ||||
\(820\) | −4.79590e7 | − | 9.95880e7i | −0.0869819 | − | 0.180620i | ||||
\(821\) | −5.14594e8 | − | 6.45280e8i | −0.929897 | − | 1.16605i | −0.985851 | − | 0.167621i | \(-0.946391\pi\) |
0.0559541 | − | 0.998433i | \(-0.482180\pi\) | |||||||
\(822\) | 3.50369e7 | − | 7.99694e6i | 0.0630826 | − | 0.0143982i | ||||
\(823\) | −6.16346e8 | −1.10567 | −0.552834 | − | 0.833291i | \(-0.686454\pi\) | ||||
−0.552834 | + | 0.833291i | \(0.686454\pi\) | |||||||
\(824\) | 7.07741e8i | 1.26501i | ||||||||
\(825\) | −1.00358e7 | + | 2.29060e6i | −0.0178726 | + | 0.00407931i | ||||
\(826\) | −1.35635e8 | + | 1.70081e8i | −0.240675 | + | 0.301797i | ||||
\(827\) | −1.98124e8 | + | 8.68039e8i | −0.350285 | + | 1.53470i | 0.426240 | + | 0.904610i | \(0.359838\pi\) |
−0.776525 | + | 0.630087i | \(0.783019\pi\) | |||||||
\(828\) | −1.07565e8 | + | 1.34882e8i | −0.189487 | + | 0.237609i | ||||
\(829\) | 3.30251e8 | − | 6.85773e8i | 0.579670 | − | 1.20370i | −0.380630 | − | 0.924727i | \(-0.624293\pi\) |
0.960300 | − | 0.278969i | \(-0.0899927\pi\) | |||||||
\(830\) | −1.30874e8 | − | 5.73398e8i | −0.228887 | − | 1.00282i | ||||
\(831\) | 2.71858e6 | + | 1.30920e6i | 0.00473738 | + | 0.00228140i | ||||
\(832\) | −5.56086e7 | − | 6.97310e7i | −0.0965544 | − | 0.121075i | ||||
\(833\) | −7.87528e7 | + | 3.45039e8i | −0.136248 | + | 0.596943i | ||||
\(834\) | −3.00298e6 | + | 1.31569e7i | −0.00517672 | + | 0.0226807i | ||||
\(835\) | −3.18161e8 | − | 6.60668e8i | −0.546497 | − | 1.13481i | ||||
\(836\) | 5.45497e7 | − | 4.35020e7i | 0.0933628 | − | 0.0744543i | ||||
\(837\) | 1.34980e7 | + | 1.07643e7i | 0.0230194 | + | 0.0183573i | ||||
\(838\) | 3.29162e7 | − | 1.58516e7i | 0.0559343 | − | 0.0269365i | ||||
\(839\) | 6.05975e7 | + | 1.25832e8i | 0.102605 | + | 0.213062i | 0.945951 | − | 0.324309i | \(-0.105132\pi\) |
−0.843346 | + | 0.537371i | \(0.819418\pi\) | |||||||
\(840\) | −4.13692e7 | + | 5.18754e7i | −0.0697974 | + | 0.0875232i | ||||
\(841\) | 3.62126e8 | + | 4.54092e8i | 0.608796 | + | 0.763406i | ||||
\(842\) | 6.87750e8 | − | 3.31203e8i | 1.15211 | − | 0.554827i | ||||
\(843\) | −9.32359e6 | − | 2.12805e6i | −0.0155633 | − | 0.00355221i | ||||
\(844\) | 2.92545e8 | + | 6.67715e7i | 0.486593 | + | 0.111062i | ||||
\(845\) | −3.88083e8 | + | 3.09486e8i | −0.643213 | + | 0.512945i | ||||
\(846\) | 1.48545e8 | − | 3.08457e8i | 0.245328 | − | 0.509428i | ||||
\(847\) | 3.87058e8 | − | 8.83435e7i | 0.636980 | − | 0.145387i | ||||
\(848\) | −1.77548e8 | − | 8.55028e7i | −0.291158 | − | 0.140215i | ||||
\(849\) | −6.67154e7 | − | 5.32037e7i | −0.109019 | − | 0.0869399i | ||||
\(850\) | 7.88679e7 | + | 1.80011e7i | 0.128423 | + | 0.0293118i | ||||
\(851\) | 9.82079e7 | + | 7.83182e7i | 0.159352 | + | 0.127079i | ||||
\(852\) | 7.26147e6 | + | 3.18146e7i | 0.0117410 | + | 0.0514407i | ||||
\(853\) | 1.08028e9 | 1.74056 | 0.870282 | − | 0.492554i | \(-0.163937\pi\) | ||||
0.870282 | + | 0.492554i | \(0.163937\pi\) | |||||||
\(854\) | 5.14035e7i | 0.0825314i | ||||||||
\(855\) | 4.37870e7 | + | 1.91844e8i | 0.0700563 | + | 0.306937i | ||||
\(856\) | 9.17354e8 | − | 7.31566e8i | 1.46257 | − | 1.16636i | ||||
\(857\) | −3.82573e8 | + | 1.84237e8i | −0.607815 | + | 0.292708i | −0.712363 | − | 0.701812i | \(-0.752375\pi\) |
0.104548 | + | 0.994520i | \(0.466661\pi\) | |||||||
\(858\) | −4.32615e6 | − | 2.08336e6i | −0.00684920 | − | 0.00329840i | ||||
\(859\) | 5.15368e8i | 0.813089i | 0.913631 | + | 0.406545i | \(0.133266\pi\) | ||||
−0.913631 | + | 0.406545i | \(0.866734\pi\) | |||||||
\(860\) | 2.19232e8 | − | 7.67781e7i | 0.344675 | − | 0.120710i | ||||
\(861\) | 4.30723e7 | 0.0674820 | ||||||||
\(862\) | −2.78330e8 | + | 5.77958e8i | −0.434549 | + | 0.902350i | ||||
\(863\) | −3.08588e8 | − | 6.40789e8i | −0.480116 | − | 0.996972i | −0.990562 | − | 0.137062i | \(-0.956234\pi\) |
0.510446 | − | 0.859910i | \(-0.329480\pi\) | |||||||
\(864\) | 5.51195e7 | + | 6.91176e7i | 0.0854602 | + | 0.107164i | ||||
\(865\) | 1.78837e8 | − | 4.08183e7i | 0.276317 | − | 0.0630676i | ||||
\(866\) | 1.93970e8 | 0.298663 | ||||||||
\(867\) | 3.56664e7i | 0.0547271i | ||||||||
\(868\) | 6.65876e7 | − | 1.51982e7i | 0.101820 | − | 0.0232398i | ||||
\(869\) | −1.20392e8 | + | 1.50967e8i | −0.183459 | + | 0.230051i | ||||
\(870\) | −1.24042e6 | + | 5.43465e6i | −0.00188370 | + | 0.00825304i | ||||
\(871\) | 7.44280e7 | − | 9.33298e7i | 0.112637 | − | 0.141243i | ||||
\(872\) | 2.71393e8 | − | 5.63554e8i | 0.409307 | − | 0.849935i | ||||
\(873\) | 2.53991e8 | + | 1.11281e9i | 0.381747 | + | 1.67254i | ||||
\(874\) | 1.20500e8 | + | 5.80297e7i | 0.180490 | + | 0.0869193i | ||||
\(875\) | −6.43209e8 | − | 8.06558e8i | −0.960125 | − | 1.20396i | ||||
\(876\) | 7.72292e6 | − | 3.38363e7i | 0.0114887 | − | 0.0503351i | ||||
\(877\) | 2.84216e7 | − | 1.24523e8i | 0.0421357 | − | 0.184609i | −0.949481 | − | 0.313826i | \(-0.898389\pi\) |
0.991616 | + | 0.129217i | \(0.0412464\pi\) | |||||||
\(878\) | 1.03852e8 | + | 2.15652e8i | 0.153438 | + | 0.318617i | ||||
\(879\) | −2.53690e7 | + | 2.02311e7i | −0.0373540 | + | 0.0297888i | ||||
\(880\) | 1.25414e8 | + | 1.00014e8i | 0.184034 | + | 0.146762i | ||||
\(881\) | 6.20873e8 | − | 2.98997e8i | 0.907978 | − | 0.437259i | 0.0792139 | − | 0.996858i | \(-0.474759\pi\) |
0.828764 | + | 0.559599i | \(0.189045\pi\) | |||||||
\(882\) | 2.24237e8 | + | 4.65633e8i | 0.326815 | + | 0.678638i | ||||
\(883\) | −5.48134e8 | + | 6.87338e8i | −0.796167 | + | 0.998362i | 0.203646 | + | 0.979045i | \(0.434721\pi\) |
−0.999813 | + | 0.0193175i | \(0.993851\pi\) | |||||||
\(884\) | −1.79491e7 | − | 2.25075e7i | −0.0259828 | − | 0.0325814i | ||||
\(885\) | −1.65392e7 | + | 7.96484e6i | −0.0238607 | + | 0.0114907i | ||||
\(886\) | −5.38807e8 | − | 1.22979e8i | −0.774697 | − | 0.176820i | ||||
\(887\) | 4.37797e8 | + | 9.99243e7i | 0.627338 | + | 0.143186i | 0.524359 | − | 0.851498i | \(-0.324305\pi\) |
0.102980 | + | 0.994683i | \(0.467162\pi\) | |||||||
\(888\) | 1.47632e7 | − | 1.17733e7i | 0.0210835 | − | 0.0168135i | ||||
\(889\) | −6.12251e8 | + | 1.27135e9i | −0.871413 | + | 1.80951i | ||||
\(890\) | −7.18422e8 | + | 1.63975e8i | −1.01908 | + | 0.232599i | ||||
\(891\) | −4.57297e8 | − | 2.20223e8i | −0.646495 | − | 0.311336i | ||||
\(892\) | −3.19338e8 | − | 2.54663e8i | −0.449941 | − | 0.358816i | ||||
\(893\) | 1.97408e8 | + | 4.50571e7i | 0.277211 | + | 0.0632716i | ||||
\(894\) | 1.47862e7 | + | 1.17916e7i | 0.0206940 | + | 0.0165029i | ||||
\(895\) | −5.71964e7 | − | 2.50594e8i | −0.0797811 | − | 0.349544i | ||||
\(896\) | 5.80577e7 | 0.0807115 | ||||||||
\(897\) | 7.02201e6i | 0.00972935i | ||||||||
\(898\) | 4.05846e7 | + | 1.77813e8i | 0.0560444 | + | 0.245546i | ||||
\(899\) | 1.48530e7 | − | 1.18449e7i | 0.0204426 | − | 0.0163024i | ||||
\(900\) | −8.11985e7 | + | 3.91032e7i | −0.111383 | + | 0.0536394i | ||||
\(901\) | −3.40559e8 | − | 1.64005e8i | −0.465606 | − | 0.224224i | ||||
\(902\) | − | 2.22730e8i | − | 0.303500i | ||||||
\(903\) | −1.01107e7 | + | 8.99499e7i | −0.0137315 | + | 0.122162i | ||||
\(904\) | 1.15271e9 | 1.56032 | ||||||||
\(905\) | −3.54544e8 | + | 7.36218e8i | −0.478326 | + | 0.993254i | ||||
\(906\) | −1.78822e7 | − | 3.71328e7i | −0.0240457 | − | 0.0499314i | ||||
\(907\) | 2.58025e8 | + | 3.23553e8i | 0.345812 | + | 0.433635i | 0.924072 | − | 0.382218i | \(-0.124840\pi\) |
−0.578260 | + | 0.815852i | \(0.696268\pi\) | |||||||
\(908\) | 1.68699e8 | − | 3.85045e7i | 0.225349 | − | 0.0514344i | ||||
\(909\) | 3.51613e8 | 0.468137 | ||||||||
\(910\) | − | 1.07554e8i | − | 0.142725i | ||||||
\(911\) | −1.87298e8 | + | 4.27496e7i | −0.247730 | + | 0.0565427i | −0.344583 | − | 0.938756i | \(-0.611980\pi\) |
0.0968527 | + | 0.995299i | \(0.469122\pi\) | |||||||
\(912\) | 5.86065e6 | − | 7.34902e6i | 0.00772611 | − | 0.00968824i | ||||
\(913\) | −2.01191e8 | + | 8.81474e8i | −0.264360 | + | 1.15824i | ||||
\(914\) | −1.92570e8 | + | 2.41475e8i | −0.252202 | + | 0.316252i | ||||
\(915\) | −1.88204e6 | + | 3.90809e6i | −0.00245677 | + | 0.00510154i | ||||
\(916\) | −6.27094e6 | − | 2.74748e7i | −0.00815918 | − | 0.0357477i | ||||
\(917\) | −4.49092e8 | − | 2.16272e8i | −0.582409 | − | 0.280473i | ||||
\(918\) | −3.81581e7 | − | 4.78488e7i | −0.0493241 | − | 0.0618505i | ||||
\(919\) | −2.39976e8 | + | 1.05140e9i | −0.309187 | + | 1.35464i | 0.546638 | + | 0.837369i | \(0.315907\pi\) |
−0.855825 | + | 0.517266i | \(0.826950\pi\) | |||||||
\(920\) | 1.11653e8 | − | 4.89183e8i | 0.143386 | − | 0.628214i | ||||
\(921\) | −5.23188e7 | − | 1.08641e8i | −0.0669698 | − | 0.139064i | ||||
\(922\) | −3.57359e8 | + | 2.84984e8i | −0.455944 | + | 0.363603i | ||||
\(923\) | −1.36922e8 | − | 1.09192e8i | −0.174128 | − | 0.138862i | ||||
\(924\) | 2.77576e7 | − | 1.33673e7i | 0.0351856 | − | 0.0169445i | ||||
\(925\) | 2.84711e7 | + | 5.91209e7i | 0.0359732 | + | 0.0746991i | ||||
\(926\) | −1.16203e8 | + | 1.45714e8i | −0.146347 | + | 0.183513i | ||||
\(927\) | 5.77860e8 | + | 7.24613e8i | 0.725409 | + | 0.909635i | ||||
\(928\) | 8.76457e7 | − | 4.22079e7i | 0.109670 | − | 0.0528142i | ||||
\(929\) | 5.00905e8 | + | 1.14328e8i | 0.624752 | + | 0.142596i | 0.523166 | − | 0.852231i | \(-0.324751\pi\) |
0.101587 | + | 0.994827i | \(0.467608\pi\) | |||||||
\(930\) | −7.36519e6 | − | 1.68106e6i | −0.00915661 | − | 0.00208994i | ||||
\(931\) | −2.38977e8 | + | 1.90577e8i | −0.296146 | + | 0.236169i | ||||
\(932\) | −2.84385e8 | + | 5.90531e8i | −0.351284 | + | 0.729450i | ||||
\(933\) | −3.67594e7 | + | 8.39010e6i | −0.0452610 | + | 0.0103305i | ||||
\(934\) | 9.42294e6 | + | 4.53785e6i | 0.0115650 | + | 0.00556942i | ||||
\(935\) | 2.40559e8 | + | 1.91840e8i | 0.294298 | + | 0.234695i | ||||
\(936\) | −1.35692e8 | − | 3.09709e7i | −0.165473 | − | 0.0377681i | ||||
\(937\) | 9.47928e8 | + | 7.55947e8i | 1.15228 | + | 0.918909i | 0.997613 | − | 0.0690580i | \(-0.0219994\pi\) |
0.154663 | + | 0.987967i | \(0.450571\pi\) | |||||||
\(938\) | −2.23402e8 | − | 9.78786e8i | −0.270693 | − | 1.18599i | ||||
\(939\) | 1.00362e8 | 0.121220 | ||||||||
\(940\) | − | 2.29448e8i | − | 0.276249i | ||||||
\(941\) | −3.11270e8 | − | 1.36376e9i | −0.373566 | − | 1.63670i | −0.716676 | − | 0.697406i | \(-0.754337\pi\) |
0.343110 | − | 0.939295i | \(-0.388520\pi\) | |||||||
\(942\) | 4.66716e7 | − | 3.72193e7i | 0.0558341 | − | 0.0445262i | ||||
\(943\) | −2.93466e8 | + | 1.41326e8i | −0.349964 | + | 0.168534i | ||||
\(944\) | −1.04170e8 | − | 5.01654e7i | −0.123830 | − | 0.0596333i | ||||
\(945\) | 1.74438e8i | 0.206702i | ||||||||
\(946\) | 4.65138e8 | + | 5.22832e7i | 0.549425 | + | 0.0617574i | ||||
\(947\) | −1.11957e9 | −1.31826 | −0.659128 | − | 0.752030i | \(-0.729075\pi\) | ||||
−0.659128 | + | 0.752030i | \(0.729075\pi\) | |||||||
\(948\) | 5.56311e6 | − | 1.15519e7i | 0.00652969 | − | 0.0135590i | ||||
\(949\) | 8.08147e7 | + | 1.67814e8i | 0.0945566 | + | 0.196349i | ||||
\(950\) | 4.35616e7 | + | 5.46246e7i | 0.0508082 | + | 0.0637114i | ||||
\(951\) | 1.14967e8 | − | 2.62404e7i | 0.133669 | − | 0.0305091i | ||||
\(952\) | −8.01589e8 | −0.929054 | ||||||||
\(953\) | 8.32042e8i | 0.961316i | 0.876908 | + | 0.480658i | \(0.159602\pi\) | ||||
−0.876908 | + | 0.480658i | \(0.840398\pi\) | |||||||
\(954\) | −5.38139e8 | + | 1.22827e8i | −0.619797 | + | 0.141465i | ||||
\(955\) | 8.07387e7 | − | 1.01243e8i | 0.0926983 | − | 0.116240i | ||||
\(956\) | 1.09017e8 | − | 4.77633e8i | 0.124773 | − | 0.546664i | ||||
\(957\) | 5.34296e6 | − | 6.69986e6i | 0.00609602 | − | 0.00764416i | ||||
\(958\) | 3.35103e8 | − | 6.95848e8i | 0.381137 | − | 0.791440i | ||||
\(959\) | −2.75366e8 | − | 1.20646e9i | −0.312215 | − | 1.36791i | ||||
\(960\) | −5.70286e7 | − | 2.74635e7i | −0.0644583 | − | 0.0310415i | ||||
\(961\) | −5.37297e8 | − | 6.73749e8i | −0.605403 | − | 0.759151i | ||||
\(962\) | −6.81108e6 | + | 2.98413e7i | −0.00765052 | + | 0.0335191i | ||||
\(963\) | 3.41912e8 | − | 1.49801e9i | 0.382856 | − | 1.67740i | ||||
\(964\) | 2.29994e8 | + | 4.77588e8i | 0.256736 | + | 0.533117i | ||||
\(965\) | 7.49688e8 | − | 5.97856e8i | 0.834255 | − | 0.665296i | ||||
\(966\) | 4.61724e7 | + | 3.68213e7i | 0.0512214 | + | 0.0408477i | ||||
\(967\) | −4.53374e8 | + | 2.18333e8i | −0.501391 | + | 0.241457i | −0.667445 | − | 0.744659i | \(-0.732612\pi\) |
0.166053 | + | 0.986117i | \(0.446898\pi\) | |||||||
\(968\) | 1.95822e8 | + | 4.06629e8i | 0.215892 | + | 0.448304i | ||||
\(969\) | 1.12414e7 | − | 1.40963e7i | 0.0123552 | − | 0.0154929i | ||||
\(970\) | −6.25179e8 | − | 7.83950e8i | −0.684998 | − | 0.858960i | ||||
\(971\) | −1.42017e9 | + | 6.83920e8i | −1.55126 | + | 0.747046i | −0.996390 | − | 0.0848920i | \(-0.972945\pi\) |
−0.554868 | + | 0.831939i | \(0.687231\pi\) | |||||||
\(972\) | 9.98340e7 | + | 2.27865e7i | 0.108713 | + | 0.0248129i | ||||
\(973\) | 4.53044e8 | + | 1.03404e8i | 0.491816 | + | 0.112254i | ||||
\(974\) | −1.97896e8 | + | 1.57817e8i | −0.214171 | + | 0.170796i | ||||
\(975\) | −1.59159e6 | + | 3.30498e6i | −0.00171719 | + | 0.00356578i | ||||
\(976\) | −2.66351e7 | + | 6.07930e6i | −0.0286487 | + | 0.00653889i | ||||
\(977\) | 7.31769e8 | + | 3.52401e8i | 0.784675 | + | 0.377880i | 0.782923 | − | 0.622119i | \(-0.213728\pi\) |
0.00175249 | + | 0.999998i | \(0.499442\pi\) | |||||||
\(978\) | 2.82844e7 | + | 2.25561e7i | 0.0302365 | + | 0.0241128i | ||||
\(979\) | 1.10442e9 | + | 2.52076e8i | 1.17702 | + | 0.268648i | ||||
\(980\) | 2.70799e8 | + | 2.15955e8i | 0.287719 | + | 0.229448i | ||||
\(981\) | −1.82270e8 | − | 7.98577e8i | −0.193067 | − | 0.845882i | ||||
\(982\) | 1.15966e9 | 1.22461 | ||||||||
\(983\) | − | 8.03136e8i | − | 0.845529i | −0.906240 | − | 0.422764i | \(-0.861060\pi\) | ||
0.906240 | − | 0.422764i | \(-0.138940\pi\) | |||||||
\(984\) | 1.08957e7 | + | 4.77370e7i | 0.0114359 | + | 0.0501038i | ||||
\(985\) | 1.05859e8 | − | 8.44196e7i | 0.110769 | − | 0.0883354i | ||||
\(986\) | −6.06754e7 | + | 2.92197e7i | −0.0632968 | + | 0.0304821i | ||||
\(987\) | 8.05554e7 | + | 3.87934e7i | 0.0837805 | + | 0.0403466i | ||||
\(988\) | − | 2.48634e7i | − | 0.0257804i | ||||||
\(989\) | −2.26250e8 | − | 6.46034e8i | −0.233884 | − | 0.667831i | ||||
\(990\) | 4.49312e8 | 0.463066 | ||||||||
\(991\) | 3.35244e8 | − | 6.96141e8i | 0.344461 | − | 0.715281i | −0.654715 | − | 0.755876i | \(-0.727211\pi\) |
0.999176 | + | 0.0405955i | \(0.0129255\pi\) | |||||||
\(992\) | 5.72013e7 | + | 1.18780e8i | 0.0585964 | + | 0.121677i | ||||
\(993\) | −6.20550e6 | − | 7.78145e6i | −0.00633766 | − | 0.00794718i | ||||
\(994\) | −1.43596e9 | + | 3.27747e8i | −1.46212 | + | 0.333718i | ||||
\(995\) | 1.21611e9 | 1.23453 | ||||||||
\(996\) | − | 6.00360e7i | − | 0.0607622i | ||||||
\(997\) | −2.96364e8 | + | 6.76431e7i | −0.299047 | + | 0.0682556i | −0.369412 | − | 0.929266i | \(-0.620441\pi\) |
0.0703646 | + | 0.997521i | \(0.477584\pi\) | |||||||
\(998\) | 3.20963e8 | − | 4.02475e8i | 0.322897 | − | 0.404899i | ||||
\(999\) | 1.10467e7 | − | 4.83987e7i | 0.0110799 | − | 0.0485442i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.7.f.a.22.14 | yes | 126 | |
43.2 | odd | 14 | inner | 43.7.f.a.2.14 | ✓ | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.14 | ✓ | 126 | 43.2 | odd | 14 | inner | |
43.7.f.a.22.14 | yes | 126 | 1.1 | even | 1 | trivial |