Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
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([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.6.e.a.11.9 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.245859 | + | 0.308297i | −0.0434621 | + | 0.0544997i | −0.803088 | − | 0.595861i | \(-0.796811\pi\) |
0.759625 | + | 0.650361i | \(0.225382\pi\) | |||||||
\(3\) | 4.65960 | + | 5.84295i | 0.298913 | + | 0.374825i | 0.908494 | − | 0.417899i | \(-0.137233\pi\) |
−0.609580 | + | 0.792724i | \(0.708662\pi\) | |||||||
\(4\) | 7.08607 | + | 31.0461i | 0.221440 | + | 0.970191i | ||||
\(5\) | −95.9791 | − | 46.2211i | −1.71693 | − | 0.826828i | −0.990159 | − | 0.139945i | \(-0.955307\pi\) |
−0.726768 | − | 0.686883i | \(-0.758978\pi\) | |||||||
\(6\) | −2.94697 | −0.0334193 | ||||||||
\(7\) | −56.9405 | −0.439214 | −0.219607 | − | 0.975588i | \(-0.570478\pi\) | ||||
−0.219607 | + | 0.975588i | \(0.570478\pi\) | |||||||
\(8\) | −22.6824 | − | 10.9233i | −0.125304 | − | 0.0603432i | ||||
\(9\) | 41.6444 | − | 182.456i | 0.171376 | − | 0.750847i | ||||
\(10\) | 37.8471 | − | 18.2262i | 0.119683 | − | 0.0576364i | ||||
\(11\) | 15.4540 | − | 67.7083i | 0.0385087 | − | 0.168718i | −0.952017 | − | 0.306045i | \(-0.900994\pi\) |
0.990526 | + | 0.137328i | \(0.0438513\pi\) | |||||||
\(12\) | −148.383 | + | 186.066i | −0.297461 | + | 0.373004i | ||||
\(13\) | −421.268 | − | 202.872i | −0.691354 | − | 0.332938i | 0.0550014 | − | 0.998486i | \(-0.482484\pi\) |
−0.746355 | + | 0.665548i | \(0.768198\pi\) | |||||||
\(14\) | 13.9993 | − | 17.5546i | 0.0190892 | − | 0.0239371i | ||||
\(15\) | −177.156 | − | 776.173i | −0.203296 | − | 0.890698i | ||||
\(16\) | −909.165 | + | 437.831i | −0.887856 | + | 0.427569i | ||||
\(17\) | −1781.27 | + | 857.813i | −1.49488 | + | 0.719897i | −0.989705 | − | 0.143119i | \(-0.954287\pi\) |
−0.505176 | + | 0.863016i | \(0.668573\pi\) | |||||||
\(18\) | 46.0120 | + | 57.6972i | 0.0334726 | + | 0.0419733i | ||||
\(19\) | 371.692 | + | 1628.49i | 0.236210 | + | 1.03490i | 0.944378 | + | 0.328861i | \(0.106665\pi\) |
−0.708168 | + | 0.706044i | \(0.750478\pi\) | |||||||
\(20\) | 754.870 | − | 3307.30i | 0.421985 | − | 1.84884i | ||||
\(21\) | −265.320 | − | 332.701i | −0.131287 | − | 0.164629i | ||||
\(22\) | 17.0748 | + | 21.4111i | 0.00752140 | + | 0.00943153i | ||||
\(23\) | 582.754 | − | 2553.21i | 0.229702 | − | 1.00639i | −0.720181 | − | 0.693786i | \(-0.755941\pi\) |
0.949883 | − | 0.312605i | \(-0.101202\pi\) | |||||||
\(24\) | −41.8668 | − | 183.430i | −0.0148368 | − | 0.0650045i | ||||
\(25\) | 5127.20 | + | 6429.30i | 1.64070 | + | 2.05738i | ||||
\(26\) | 166.117 | − | 79.9979i | 0.0481927 | − | 0.0232084i | ||||
\(27\) | 2896.32 | − | 1394.80i | 0.764606 | − | 0.368215i | ||||
\(28\) | −403.485 | − | 1767.78i | −0.0972595 | − | 0.426122i | ||||
\(29\) | −1912.46 | + | 2398.15i | −0.422276 | + | 0.529518i | −0.946776 | − | 0.321893i | \(-0.895681\pi\) |
0.524500 | + | 0.851411i | \(0.324252\pi\) | |||||||
\(30\) | 282.847 | + | 136.212i | 0.0573785 | + | 0.0276320i | ||||
\(31\) | −3756.42 | + | 4710.41i | −0.702054 | + | 0.880347i | −0.997175 | − | 0.0751123i | \(-0.976068\pi\) |
0.295121 | + | 0.955460i | \(0.404640\pi\) | |||||||
\(32\) | 267.811 | − | 1173.36i | 0.0462332 | − | 0.202561i | ||||
\(33\) | 467.626 | − | 225.197i | 0.0747504 | − | 0.0359979i | ||||
\(34\) | 173.479 | − | 760.060i | 0.0257365 | − | 0.112759i | ||||
\(35\) | 5465.10 | + | 2631.86i | 0.754099 | + | 0.363155i | ||||
\(36\) | 5959.64 | 0.766414 | ||||||||
\(37\) | −1088.30 | −0.130690 | −0.0653452 | − | 0.997863i | \(-0.520815\pi\) | ||||
−0.0653452 | + | 0.997863i | \(0.520815\pi\) | |||||||
\(38\) | −593.441 | − | 285.786i | −0.0666682 | − | 0.0321057i | ||||
\(39\) | −777.569 | − | 3406.75i | −0.0818611 | − | 0.358657i | ||||
\(40\) | 1672.15 | + | 2096.81i | 0.165244 | + | 0.207210i | ||||
\(41\) | 5217.87 | − | 6543.00i | 0.484767 | − | 0.607879i | −0.477951 | − | 0.878387i | \(-0.658620\pi\) |
0.962718 | + | 0.270508i | \(0.0871916\pi\) | |||||||
\(42\) | 167.802 | 0.0146782 | ||||||||
\(43\) | 11842.1 | − | 2602.65i | 0.976689 | − | 0.214657i | ||||
\(44\) | 2211.59 | 0.172216 | ||||||||
\(45\) | −12430.3 | + | 15587.1i | −0.915062 | + | 1.14745i | ||||
\(46\) | 643.872 | + | 807.390i | 0.0448647 | + | 0.0562586i | ||||
\(47\) | −1515.04 | − | 6637.83i | −0.100041 | − | 0.438310i | −0.999997 | − | 0.00232914i | \(-0.999259\pi\) |
0.899956 | − | 0.435981i | \(-0.143599\pi\) | |||||||
\(48\) | −6794.57 | − | 3272.09i | −0.425656 | − | 0.204985i | ||||
\(49\) | −13564.8 | −0.807091 | ||||||||
\(50\) | −3242.70 | −0.183435 | ||||||||
\(51\) | −13312.2 | − | 6410.79i | −0.716676 | − | 0.345133i | ||||
\(52\) | 3313.25 | − | 14516.3i | 0.169921 | − | 0.744471i | ||||
\(53\) | −29168.5 | + | 14046.8i | −1.42635 | + | 0.686892i | −0.978314 | − | 0.207126i | \(-0.933589\pi\) |
−0.448032 | + | 0.894018i | \(0.647875\pi\) | |||||||
\(54\) | −282.075 | + | 1235.85i | −0.0131638 | + | 0.0576742i | ||||
\(55\) | −4612.81 | + | 5784.28i | −0.205617 | + | 0.257836i | ||||
\(56\) | 1291.55 | + | 621.978i | 0.0550353 | + | 0.0265036i | ||||
\(57\) | −7783.24 | + | 9759.87i | −0.317302 | + | 0.397884i | ||||
\(58\) | −269.147 | − | 1179.21i | −0.0105056 | − | 0.0460279i | ||||
\(59\) | 32700.7 | − | 15747.8i | 1.22300 | − | 0.588967i | 0.292856 | − | 0.956156i | \(-0.405394\pi\) |
0.930146 | + | 0.367190i | \(0.119680\pi\) | |||||||
\(60\) | 22841.8 | − | 11000.0i | 0.819129 | − | 0.394472i | ||||
\(61\) | −16745.4 | − | 20998.1i | −0.576197 | − | 0.722528i | 0.405262 | − | 0.914200i | \(-0.367180\pi\) |
−0.981459 | + | 0.191673i | \(0.938609\pi\) | |||||||
\(62\) | −528.655 | − | 2316.19i | −0.0174660 | − | 0.0765235i | ||||
\(63\) | −2371.25 | + | 10389.1i | −0.0752708 | + | 0.329783i | ||||
\(64\) | −19837.3 | − | 24875.2i | −0.605385 | − | 0.759129i | ||||
\(65\) | 31056.0 | + | 38943.0i | 0.911721 | + | 1.14326i | ||||
\(66\) | −45.5424 | + | 199.534i | −0.00128693 | + | 0.00563842i | ||||
\(67\) | 2719.92 | + | 11916.8i | 0.0740235 | + | 0.324318i | 0.998359 | − | 0.0572622i | \(-0.0182371\pi\) |
−0.924336 | + | 0.381580i | \(0.875380\pi\) | |||||||
\(68\) | −39253.9 | − | 49222.9i | −1.02946 | − | 1.29091i | ||||
\(69\) | 17633.7 | − | 8491.93i | 0.445882 | − | 0.214726i | ||||
\(70\) | −2155.04 | + | 1037.81i | −0.0525666 | + | 0.0253147i | ||||
\(71\) | 7115.08 | + | 31173.2i | 0.167507 | + | 0.733898i | 0.986988 | + | 0.160792i | \(0.0514047\pi\) |
−0.819481 | + | 0.573106i | \(0.805738\pi\) | |||||||
\(72\) | −2937.61 | + | 3683.65i | −0.0667826 | + | 0.0837427i | ||||
\(73\) | −26118.1 | − | 12577.8i | −0.573633 | − | 0.276247i | 0.124495 | − | 0.992220i | \(-0.460269\pi\) |
−0.698128 | + | 0.715973i | \(0.745983\pi\) | |||||||
\(74\) | 267.568 | − | 335.519i | 0.00568008 | − | 0.00712259i | ||||
\(75\) | −13675.4 | + | 59915.9i | −0.280729 | + | 1.22995i | ||||
\(76\) | −47924.3 | + | 23079.1i | −0.951748 | + | 0.458338i | ||||
\(77\) | −879.958 | + | 3855.35i | −0.0169136 | + | 0.0741032i | ||||
\(78\) | 1241.46 | + | 597.857i | 0.0231045 | + | 0.0111266i | ||||
\(79\) | 823.071 | 0.0148378 | 0.00741890 | − | 0.999972i | \(-0.497638\pi\) | ||||
0.00741890 | + | 0.999972i | \(0.497638\pi\) | |||||||
\(80\) | 107498. | 1.87791 | ||||||||
\(81\) | −19327.9 | − | 9307.84i | −0.327320 | − | 0.157629i | ||||
\(82\) | 734.329 | + | 3217.31i | 0.0120602 | + | 0.0528394i | ||||
\(83\) | −18776.2 | − | 23544.6i | −0.299167 | − | 0.375143i | 0.609414 | − | 0.792852i | \(-0.291405\pi\) |
−0.908581 | + | 0.417709i | \(0.862833\pi\) | |||||||
\(84\) | 8448.98 | − | 10594.7i | 0.130649 | − | 0.163829i | ||||
\(85\) | 210614. | 3.16183 | ||||||||
\(86\) | −2109.09 | + | 4290.76i | −0.0307502 | + | 0.0625588i | ||||
\(87\) | −22923.5 | −0.324701 | ||||||||
\(88\) | −1090.13 | + | 1366.98i | −0.0150062 | + | 0.0188172i | ||||
\(89\) | 31550.0 | + | 39562.5i | 0.422206 | + | 0.529430i | 0.946757 | − | 0.321949i | \(-0.104338\pi\) |
−0.524551 | + | 0.851379i | \(0.675767\pi\) | |||||||
\(90\) | −1749.36 | − | 7664.45i | −0.0227653 | − | 0.0997413i | ||||
\(91\) | 23987.2 | + | 11551.6i | 0.303652 | + | 0.146231i | ||||
\(92\) | 83396.7 | 1.02726 | ||||||||
\(93\) | −45026.1 | −0.539830 | ||||||||
\(94\) | 2418.91 | + | 1164.89i | 0.0282358 | + | 0.0135976i | ||||
\(95\) | 39595.9 | − | 173481.i | 0.450133 | − | 1.97216i | ||||
\(96\) | 8103.76 | − | 3902.57i | 0.0897447 | − | 0.0432188i | ||||
\(97\) | −12862.1 | + | 56352.7i | −0.138798 | + | 0.608114i | 0.856902 | + | 0.515479i | \(0.172386\pi\) |
−0.995700 | + | 0.0926351i | \(0.970471\pi\) | |||||||
\(98\) | 3335.02 | − | 4181.98i | 0.0350779 | − | 0.0439862i | ||||
\(99\) | −11710.2 | − | 5639.34i | −0.120082 | − | 0.0578283i | ||||
\(100\) | −163273. | + | 204738.i | −1.63273 | + | 2.04738i | ||||
\(101\) | −15920.7 | − | 69753.2i | −0.155296 | − | 0.680394i | −0.991295 | − | 0.131663i | \(-0.957968\pi\) |
0.835999 | − | 0.548731i | \(-0.184889\pi\) | |||||||
\(102\) | 5249.34 | − | 2527.95i | 0.0499579 | − | 0.0240585i | ||||
\(103\) | −160764. | + | 77419.9i | −1.49312 | + | 0.719050i | −0.989454 | − | 0.144846i | \(-0.953731\pi\) |
−0.503669 | + | 0.863896i | \(0.668017\pi\) | |||||||
\(104\) | 7339.36 | + | 9203.26i | 0.0665388 | + | 0.0834370i | ||||
\(105\) | 10087.4 | + | 44195.7i | 0.0892905 | + | 0.391207i | ||||
\(106\) | 2840.74 | − | 12446.1i | 0.0245565 | − | 0.107589i | ||||
\(107\) | −127154. | − | 159446.i | −1.07367 | − | 1.34633i | −0.934459 | − | 0.356071i | \(-0.884116\pi\) |
−0.139207 | − | 0.990263i | \(-0.544455\pi\) | |||||||
\(108\) | 63826.5 | + | 80035.9i | 0.526552 | + | 0.660276i | ||||
\(109\) | 26132.1 | − | 114492.i | 0.210673 | − | 0.923018i | −0.753438 | − | 0.657519i | \(-0.771606\pi\) |
0.964111 | − | 0.265499i | \(-0.0855368\pi\) | |||||||
\(110\) | −649.178 | − | 2844.23i | −0.00511543 | − | 0.0224122i | ||||
\(111\) | −5071.03 | − | 6358.88i | −0.0390651 | − | 0.0489861i | ||||
\(112\) | 51768.3 | − | 24930.3i | 0.389959 | − | 0.187794i | ||||
\(113\) | 94175.4 | − | 45352.5i | 0.693811 | − | 0.334122i | −0.0535262 | − | 0.998566i | \(-0.517046\pi\) |
0.747338 | + | 0.664444i | \(0.231332\pi\) | |||||||
\(114\) | −1095.36 | − | 4799.10i | −0.00789398 | − | 0.0345858i | ||||
\(115\) | −173944. | + | 218119.i | −1.22650 | + | 1.53798i | ||||
\(116\) | −88004.9 | − | 42380.9i | −0.607242 | − | 0.292432i | ||||
\(117\) | −54558.7 | + | 68414.4i | −0.368467 | + | 0.462043i | ||||
\(118\) | −3184.74 | + | 13953.3i | −0.0210557 | + | 0.0922510i | ||||
\(119\) | 101426. | − | 48844.4i | 0.656574 | − | 0.316189i | ||||
\(120\) | −4460.02 | + | 19540.6i | −0.0282738 | + | 0.123875i | ||||
\(121\) | 140756. | + | 67784.7i | 0.873986 | + | 0.420890i | ||||
\(122\) | 10590.6 | 0.0644203 | ||||||||
\(123\) | 62543.6 | 0.372752 | ||||||||
\(124\) | −172858. | − | 83244.0i | −1.00957 | − | 0.486182i | ||||
\(125\) | −120857. | − | 529507.i | −0.691824 | − | 3.03108i | ||||
\(126\) | −2619.95 | − | 3285.31i | −0.0147017 | − | 0.0184353i | ||||
\(127\) | 122170. | − | 153197.i | 0.672135 | − | 0.842830i | −0.322469 | − | 0.946580i | \(-0.604513\pi\) |
0.994603 | + | 0.103750i | \(0.0330841\pi\) | |||||||
\(128\) | 51059.2 | 0.275454 | ||||||||
\(129\) | 70386.5 | + | 57065.3i | 0.372404 | + | 0.301924i | ||||
\(130\) | −19641.4 | −0.101933 | ||||||||
\(131\) | −220384. | + | 276353.i | −1.12202 | + | 1.40697i | −0.219883 | + | 0.975526i | \(0.570568\pi\) |
−0.902139 | + | 0.431445i | \(0.858004\pi\) | |||||||
\(132\) | 10305.1 | + | 12922.2i | 0.0514775 | + | 0.0645508i | ||||
\(133\) | −21164.3 | − | 92726.9i | −0.103747 | − | 0.454545i | ||||
\(134\) | −4342.62 | − | 2091.30i | −0.0208925 | − | 0.0100613i | ||||
\(135\) | −342455. | −1.61722 | ||||||||
\(136\) | 49773.6 | 0.230755 | ||||||||
\(137\) | 158025. | + | 76100.8i | 0.719324 | + | 0.346408i | 0.757475 | − | 0.652864i | \(-0.226433\pi\) |
−0.0381514 | + | 0.999272i | \(0.512147\pi\) | |||||||
\(138\) | −1717.36 | + | 7524.23i | −0.00767649 | + | 0.0336329i | ||||
\(139\) | −148407. | + | 71469.0i | −0.651504 | + | 0.313748i | −0.730283 | − | 0.683144i | \(-0.760612\pi\) |
0.0787797 | + | 0.996892i | \(0.474898\pi\) | |||||||
\(140\) | −42982.7 | + | 188320.i | −0.185342 | + | 0.812037i | ||||
\(141\) | 31725.0 | − | 39781.9i | 0.134386 | − | 0.168515i | ||||
\(142\) | −11359.9 | − | 5470.65i | −0.0472775 | − | 0.0227676i | ||||
\(143\) | −20246.4 | + | 25388.2i | −0.0827957 | + | 0.103822i | ||||
\(144\) | 42023.2 | + | 184116.i | 0.168882 | + | 0.739919i | ||||
\(145\) | 294401. | − | 141776.i | 1.16284 | − | 0.559993i | ||||
\(146\) | 10299.1 | − | 4959.77i | 0.0399867 | − | 0.0192566i | ||||
\(147\) | −63206.4 | − | 79258.3i | −0.241250 | − | 0.302518i | ||||
\(148\) | −7711.76 | − | 33787.4i | −0.0289400 | − | 0.126795i | ||||
\(149\) | 3412.48 | − | 14951.1i | 0.0125923 | − | 0.0551705i | −0.968241 | − | 0.250017i | \(-0.919564\pi\) |
0.980834 | + | 0.194847i | \(0.0624209\pi\) | |||||||
\(150\) | −15109.7 | − | 18946.9i | −0.0548311 | − | 0.0687560i | ||||
\(151\) | 241505. | + | 302837.i | 0.861952 | + | 1.08085i | 0.995953 | + | 0.0898727i | \(0.0286460\pi\) |
−0.134001 | + | 0.990981i | \(0.542783\pi\) | |||||||
\(152\) | 9357.56 | − | 40998.1i | 0.0328514 | − | 0.143931i | ||||
\(153\) | 82333.3 | + | 360726.i | 0.284346 | + | 1.24580i | ||||
\(154\) | −972.247 | − | 1219.16i | −0.00330350 | − | 0.00414246i | ||||
\(155\) | 578258. | − | 278475.i | 1.93327 | − | 0.931014i | ||||
\(156\) | 100256. | − | 48281.0i | 0.329838 | − | 0.158842i | ||||
\(157\) | 16085.7 | + | 70476.1i | 0.0520824 | + | 0.228188i | 0.994270 | − | 0.106898i | \(-0.0340918\pi\) |
−0.942188 | + | 0.335086i | \(0.891235\pi\) | |||||||
\(158\) | −202.359 | + | 253.750i | −0.000644882 | + | 0.000808656i | ||||
\(159\) | −217989. | − | 104978.i | −0.683818 | − | 0.329310i | ||||
\(160\) | −79938.2 | + | 100239.i | −0.246862 | + | 0.309555i | ||||
\(161\) | −33182.3 | + | 145381.i | −0.100889 | + | 0.442022i | ||||
\(162\) | 7621.52 | − | 3670.33i | 0.0228168 | − | 0.0109880i | ||||
\(163\) | 88790.2 | − | 389015.i | 0.261756 | − | 1.14683i | −0.657590 | − | 0.753376i | \(-0.728424\pi\) |
0.919346 | − | 0.393450i | \(-0.128719\pi\) | |||||||
\(164\) | 240109. | + | 115630.i | 0.697105 | + | 0.335708i | ||||
\(165\) | −55291.1 | −0.158105 | ||||||||
\(166\) | 11875.0 | 0.0334476 | ||||||||
\(167\) | 1587.39 | + | 764.448i | 0.00440446 | + | 0.00212108i | 0.436085 | − | 0.899906i | \(-0.356365\pi\) |
−0.431680 | + | 0.902027i | \(0.642079\pi\) | |||||||
\(168\) | 2383.92 | + | 10444.6i | 0.00651656 | + | 0.0285509i | ||||
\(169\) | −95187.6 | − | 119361.i | −0.256368 | − | 0.321475i | ||||
\(170\) | −51781.2 | + | 64931.6i | −0.137420 | + | 0.172319i | ||||
\(171\) | 312606. | 0.817536 | ||||||||
\(172\) | 164716. | + | 349208.i | 0.424536 | + | 0.900041i | ||||
\(173\) | 119040. | 0.302396 | 0.151198 | − | 0.988503i | \(-0.451687\pi\) | ||||
0.151198 | + | 0.988503i | \(0.451687\pi\) | |||||||
\(174\) | 5635.95 | − | 7067.26i | 0.0141122 | − | 0.0176961i | ||||
\(175\) | −291945. | − | 366088.i | −0.720620 | − | 0.903629i | ||||
\(176\) | 15594.6 | + | 68324.2i | 0.0379482 | + | 0.166262i | ||||
\(177\) | 244386. | + | 117690.i | 0.586331 | + | 0.282362i | ||||
\(178\) | −19953.9 | −0.0472038 | ||||||||
\(179\) | −274251. | −0.639759 | −0.319880 | − | 0.947458i | \(-0.603642\pi\) | ||||
−0.319880 | + | 0.947458i | \(0.603642\pi\) | |||||||
\(180\) | −572001. | − | 275461.i | −1.31588 | − | 0.633693i | ||||
\(181\) | 12683.7 | − | 55570.8i | 0.0287772 | − | 0.126081i | −0.958499 | − | 0.285096i | \(-0.907975\pi\) |
0.987276 | + | 0.159015i | \(0.0508317\pi\) | |||||||
\(182\) | −9458.81 | + | 4555.12i | −0.0211669 | + | 0.0101935i | ||||
\(183\) | 44663.8 | − | 195685.i | 0.0985889 | − | 0.431946i | ||||
\(184\) | −41107.7 | + | 51547.4i | −0.0895115 | + | 0.112244i | ||||
\(185\) | 104454. | + | 50302.4i | 0.224386 | + | 0.108059i | ||||
\(186\) | 11070.1 | − | 13881.4i | 0.0234621 | − | 0.0294206i | ||||
\(187\) | 30553.4 | + | 133863.i | 0.0638934 | + | 0.279935i | ||||
\(188\) | 195343. | − | 94072.3i | 0.403091 | − | 0.194119i | ||||
\(189\) | −164918. | + | 79420.4i | −0.335826 | + | 0.161725i | ||||
\(190\) | 43748.6 | + | 54859.0i | 0.0879185 | + | 0.110246i | ||||
\(191\) | 188875. | + | 827514.i | 0.374619 | + | 1.64132i | 0.713623 | + | 0.700530i | \(0.247053\pi\) |
−0.339003 | + | 0.940785i | \(0.610090\pi\) | |||||||
\(192\) | 52910.6 | − | 231816.i | 0.103583 | − | 0.453828i | ||||
\(193\) | −20551.0 | − | 25770.1i | −0.0397136 | − | 0.0497993i | 0.761578 | − | 0.648073i | \(-0.224425\pi\) |
−0.801292 | + | 0.598274i | \(0.795853\pi\) | |||||||
\(194\) | −14211.1 | − | 17820.2i | −0.0271096 | − | 0.0339944i | ||||
\(195\) | −82833.5 | + | 362917.i | −0.155998 | + | 0.683472i | ||||
\(196\) | −96120.9 | − | 421133.i | −0.178722 | − | 0.783032i | ||||
\(197\) | −347664. | − | 435957.i | −0.638256 | − | 0.800347i | 0.352528 | − | 0.935801i | \(-0.385322\pi\) |
−0.990784 | + | 0.135454i | \(0.956751\pi\) | |||||||
\(198\) | 4617.65 | − | 2223.74i | 0.00837063 | − | 0.00403108i | ||||
\(199\) | −571417. | + | 275180.i | −1.02287 | + | 0.492589i | −0.868639 | − | 0.495446i | \(-0.835005\pi\) |
−0.154232 | + | 0.988035i | \(0.549290\pi\) | |||||||
\(200\) | −46068.2 | − | 201838.i | −0.0814378 | − | 0.356802i | ||||
\(201\) | −56955.3 | + | 71419.7i | −0.0994361 | + | 0.124689i | ||||
\(202\) | 25418.9 | + | 12241.1i | 0.0438308 | + | 0.0211078i | ||||
\(203\) | 108896. | − | 136552.i | 0.185470 | − | 0.232572i | ||||
\(204\) | 104699. | − | 458718.i | 0.176144 | − | 0.771738i | ||||
\(205\) | −803231. | + | 386816.i | −1.33492 | + | 0.642864i | ||||
\(206\) | 15656.9 | − | 68597.4i | 0.0257062 | − | 0.112626i | ||||
\(207\) | −441580. | − | 212654.i | −0.716281 | − | 0.344943i | ||||
\(208\) | 471826. | 0.756177 | ||||||||
\(209\) | 116006. | 0.183703 | ||||||||
\(210\) | −16105.5 | − | 7755.99i | −0.0252014 | − | 0.0121364i | ||||
\(211\) | 150454. | + | 659181.i | 0.232647 | + | 1.01929i | 0.947434 | + | 0.319950i | \(0.103666\pi\) |
−0.714788 | + | 0.699341i | \(0.753477\pi\) | |||||||
\(212\) | −642789. | − | 806032.i | −0.982266 | − | 1.23172i | ||||
\(213\) | −148990. | + | 186828.i | −0.225013 | + | 0.282158i | ||||
\(214\) | 80418.4 | 0.120039 | ||||||||
\(215\) | −1.25689e6 | − | 297553.i | −1.85439 | − | 0.439004i | ||||
\(216\) | −80931.4 | −0.118027 | ||||||||
\(217\) | 213893. | − | 268213.i | 0.308352 | − | 0.386661i | ||||
\(218\) | 28872.8 | + | 36205.4i | 0.0411479 | + | 0.0515979i | ||||
\(219\) | −48208.3 | − | 211214.i | −0.0679221 | − | 0.297586i | ||||
\(220\) | −212266. | − | 102222.i | −0.295681 | − | 0.142393i | ||||
\(221\) | 924418. | 1.27317 | ||||||||
\(222\) | 3207.18 | 0.00436758 | ||||||||
\(223\) | 146375. | + | 70490.5i | 0.197108 | + | 0.0949224i | 0.529834 | − | 0.848101i | \(-0.322254\pi\) |
−0.332726 | + | 0.943024i | \(0.607968\pi\) | |||||||
\(224\) | −15249.3 | + | 66811.6i | −0.0203063 | + | 0.0889676i | ||||
\(225\) | 1.38658e6 | − | 667743.i | 1.82595 | − | 0.879332i | ||||
\(226\) | −9171.81 | + | 40184.3i | −0.0119449 | + | 0.0523342i | ||||
\(227\) | −37802.2 | + | 47402.4i | −0.0486914 | + | 0.0610571i | −0.805581 | − | 0.592486i | \(-0.798147\pi\) |
0.756890 | + | 0.653543i | \(0.226718\pi\) | |||||||
\(228\) | −358158. | − | 172480.i | −0.456287 | − | 0.219736i | ||||
\(229\) | −176319. | + | 221097.i | −0.222182 | + | 0.278608i | −0.880412 | − | 0.474209i | \(-0.842734\pi\) |
0.658230 | + | 0.752817i | \(0.271305\pi\) | |||||||
\(230\) | −24479.8 | − | 107253.i | −0.0305133 | − | 0.133687i | ||||
\(231\) | −26626.9 | + | 12822.8i | −0.0328314 | + | 0.0158108i | ||||
\(232\) | 69574.8 | − | 33505.5i | 0.0848657 | − | 0.0408692i | ||||
\(233\) | 728309. | + | 913271.i | 0.878872 | + | 1.10207i | 0.994071 | + | 0.108729i | \(0.0346780\pi\) |
−0.115199 | + | 0.993342i | \(0.536751\pi\) | |||||||
\(234\) | −7678.23 | − | 33640.5i | −0.00916688 | − | 0.0401627i | ||||
\(235\) | −161396. | + | 707120.i | −0.190643 | + | 0.835264i | ||||
\(236\) | 720628. | + | 903640.i | 0.842231 | + | 1.05612i | ||||
\(237\) | 3835.18 | + | 4809.16i | 0.00443522 | + | 0.00556158i | ||||
\(238\) | −9877.98 | + | 43278.3i | −0.0113038 | + | 0.0495253i | ||||
\(239\) | −43546.1 | − | 190788.i | −0.0493122 | − | 0.216051i | 0.944269 | − | 0.329176i | \(-0.106771\pi\) |
−0.993581 | + | 0.113125i | \(0.963914\pi\) | |||||||
\(240\) | 500897. | + | 628105.i | 0.561332 | + | 0.703889i | ||||
\(241\) | −777592. | + | 374469.i | −0.862401 | + | 0.415311i | −0.812166 | − | 0.583427i | \(-0.801711\pi\) |
−0.0502356 | + | 0.998737i | \(0.515997\pi\) | |||||||
\(242\) | −55504.0 | + | 26729.3i | −0.0609236 | + | 0.0293393i | ||||
\(243\) | −209501. | − | 917883.i | −0.227599 | − | 0.997176i | ||||
\(244\) | 533249. | − | 668673.i | 0.573397 | − | 0.719017i | ||||
\(245\) | 1.30194e6 | + | 626979.i | 1.38572 | + | 0.667326i | ||||
\(246\) | −15376.9 | + | 19282.0i | −0.0162006 | + | 0.0203149i | ||||
\(247\) | 173793. | − | 761436.i | 0.181255 | − | 0.794129i | ||||
\(248\) | 136658. | − | 65811.0i | 0.141093 | − | 0.0679468i | ||||
\(249\) | 50080.5 | − | 219417.i | 0.0511883 | − | 0.224270i | ||||
\(250\) | 192959. | + | 92924.3i | 0.195261 | + | 0.0940328i | ||||
\(251\) | −1.67780e6 | −1.68096 | −0.840478 | − | 0.541846i | \(-0.817726\pi\) | ||||
−0.840478 | + | 0.541846i | \(0.817726\pi\) | |||||||
\(252\) | −339345. | −0.336620 | ||||||||
\(253\) | −163868. | − | 78914.5i | −0.160950 | − | 0.0775096i | ||||
\(254\) | 17193.5 | + | 75329.5i | 0.0167217 | + | 0.0732623i | ||||
\(255\) | 981375. | + | 1.23060e6i | 0.945114 | + | 1.18514i | ||||
\(256\) | 622239. | − | 780263.i | 0.593414 | − | 0.744117i | ||||
\(257\) | −1.76146e6 | −1.66357 | −0.831785 | − | 0.555098i | \(-0.812681\pi\) | ||||
−0.831785 | + | 0.555098i | \(0.812681\pi\) | |||||||
\(258\) | −34898.2 | + | 7669.93i | −0.0326403 | + | 0.00717368i | ||||
\(259\) | 61968.3 | 0.0574011 | ||||||||
\(260\) | −988962. | + | 1.24012e6i | −0.907291 | + | 1.13771i | ||||
\(261\) | 357913. | + | 448808.i | 0.325219 | + | 0.407812i | ||||
\(262\) | −31015.4 | − | 135887.i | −0.0279141 | − | 0.122300i | ||||
\(263\) | −1.11649e6 | − | 537673.i | −0.995326 | − | 0.479324i | −0.135977 | − | 0.990712i | \(-0.543417\pi\) |
−0.859350 | + | 0.511388i | \(0.829131\pi\) | |||||||
\(264\) | −13066.8 | −0.0115387 | ||||||||
\(265\) | 3.44883e6 | 3.01687 | ||||||||
\(266\) | 33790.9 | + | 16272.8i | 0.0292816 | + | 0.0141013i | ||||
\(267\) | −84151.2 | + | 368691.i | −0.0722408 | + | 0.316507i | ||||
\(268\) | −350695. | + | 168886.i | −0.298259 | + | 0.143634i | ||||
\(269\) | 230595. | − | 1.01030e6i | 0.194299 | − | 0.851278i | −0.779957 | − | 0.625833i | \(-0.784759\pi\) |
0.974256 | − | 0.225445i | \(-0.0723836\pi\) | |||||||
\(270\) | 84195.7 | − | 105578.i | 0.0702878 | − | 0.0881382i | ||||
\(271\) | 436238. | + | 210081.i | 0.360828 | + | 0.173766i | 0.605510 | − | 0.795838i | \(-0.292969\pi\) |
−0.244682 | + | 0.969603i | \(0.578684\pi\) | |||||||
\(272\) | 1.24389e6 | − | 1.55979e6i | 1.01943 | − | 1.27833i | ||||
\(273\) | 44275.2 | + | 193982.i | 0.0359545 | + | 0.157527i | ||||
\(274\) | −62313.5 | + | 30008.6i | −0.0501425 | + | 0.0241473i | ||||
\(275\) | 514553. | − | 247796.i | 0.410297 | − | 0.197589i | ||||
\(276\) | 388595. | + | 487283.i | 0.307061 | + | 0.385042i | ||||
\(277\) | −394466. | − | 1.72827e6i | −0.308895 | − | 1.35336i | −0.856296 | − | 0.516486i | \(-0.827240\pi\) |
0.547401 | − | 0.836870i | \(-0.315617\pi\) | |||||||
\(278\) | 14453.4 | − | 63324.6i | 0.0112165 | − | 0.0491429i | ||||
\(279\) | 703007. | + | 881543.i | 0.540691 | + | 0.678005i | ||||
\(280\) | −95213.3 | − | 119394.i | −0.0725776 | − | 0.0910094i | ||||
\(281\) | −540728. | + | 2.36909e6i | −0.408520 | + | 1.78984i | 0.182521 | + | 0.983202i | \(0.441574\pi\) |
−0.591041 | + | 0.806642i | \(0.701283\pi\) | |||||||
\(282\) | 4464.78 | + | 19561.5i | 0.00334331 | + | 0.0146480i | ||||
\(283\) | 775684. | + | 972677.i | 0.575730 | + | 0.721942i | 0.981378 | − | 0.192087i | \(-0.0615256\pi\) |
−0.405648 | + | 0.914029i | \(0.632954\pi\) | |||||||
\(284\) | −917389. | + | 441791.i | −0.674928 | + | 0.325028i | ||||
\(285\) | 1.19814e6 | − | 576994.i | 0.873767 | − | 0.420784i | ||||
\(286\) | −2849.35 | − | 12483.8i | −0.00205983 | − | 0.00902469i | ||||
\(287\) | −297108. | + | 372562.i | −0.212917 | + | 0.266989i | ||||
\(288\) | −202933. | − | 97727.5i | −0.144169 | − | 0.0694281i | ||||
\(289\) | 1.55180e6 | − | 1.94590e6i | 1.09293 | − | 1.37049i | ||||
\(290\) | −28671.9 | + | 125620.i | −0.0200199 | + | 0.0877128i | ||||
\(291\) | −389198. | + | 187428.i | −0.269425 | + | 0.129748i | ||||
\(292\) | 205417. | − | 899992.i | 0.140987 | − | 0.617705i | ||||
\(293\) | −711064. | − | 342431.i | −0.483882 | − | 0.233026i | 0.176006 | − | 0.984389i | \(-0.443682\pi\) |
−0.659888 | + | 0.751364i | \(0.729396\pi\) | |||||||
\(294\) | 39974.9 | 0.0269724 | ||||||||
\(295\) | −3.86647e6 | −2.58678 | ||||||||
\(296\) | 24685.3 | + | 11887.8i | 0.0163760 | + | 0.00788628i | ||||
\(297\) | −49679.5 | − | 217660.i | −0.0326803 | − | 0.143182i | ||||
\(298\) | 3770.38 | + | 4727.91i | 0.00245949 | + | 0.00308410i | ||||
\(299\) | −763471. | + | 957362.i | −0.493872 | + | 0.619296i | ||||
\(300\) | −1.95706e6 | −1.25545 | ||||||||
\(301\) | −674294. | + | 148196.i | −0.428976 | + | 0.0942804i | ||||
\(302\) | −152740. | −0.0963685 | ||||||||
\(303\) | 333380. | − | 418046.i | 0.208609 | − | 0.261588i | ||||
\(304\) | −1.05093e6 | − | 1.31783e6i | −0.652214 | − | 0.817850i | ||||
\(305\) | 636654. | + | 2.78937e6i | 0.391881 | + | 1.71694i | ||||
\(306\) | −131453. | − | 63304.5i | −0.0802541 | − | 0.0386483i | ||||
\(307\) | −1.28724e6 | −0.779494 | −0.389747 | − | 0.920922i | \(-0.627438\pi\) | ||||
−0.389747 | + | 0.920922i | \(0.627438\pi\) | |||||||
\(308\) | −125929. | −0.0756395 | ||||||||
\(309\) | −1.20146e6 | − | 578591.i | −0.715833 | − | 0.344727i | ||||
\(310\) | −56317.0 | + | 246741.i | −0.0332840 | + | 0.145827i | ||||
\(311\) | 48039.4 | − | 23134.5i | 0.0281641 | − | 0.0135631i | −0.419749 | − | 0.907640i | \(-0.637882\pi\) |
0.447913 | + | 0.894077i | \(0.352167\pi\) | |||||||
\(312\) | −19575.8 | + | 85767.0i | −0.0113850 | + | 0.0498808i | ||||
\(313\) | 588568. | − | 738040.i | 0.339575 | − | 0.425813i | −0.582497 | − | 0.812833i | \(-0.697924\pi\) |
0.922071 | + | 0.387020i | \(0.126495\pi\) | |||||||
\(314\) | −25682.4 | − | 12368.0i | −0.0146998 | − | 0.00707905i | ||||
\(315\) | 707788. | − | 887538.i | 0.401908 | − | 0.503977i | ||||
\(316\) | 5832.34 | + | 25553.1i | 0.00328568 | + | 0.0143955i | ||||
\(317\) | −257916. | + | 124206.i | −0.144155 | + | 0.0694216i | −0.504571 | − | 0.863370i | \(-0.668349\pi\) |
0.360415 | + | 0.932792i | \(0.382635\pi\) | |||||||
\(318\) | 85958.7 | − | 41395.5i | 0.0476675 | − | 0.0229554i | ||||
\(319\) | 132819. | + | 166550.i | 0.0730777 | + | 0.0916365i | ||||
\(320\) | 754207. | + | 3.30440e6i | 0.411733 | + | 1.80392i | ||||
\(321\) | 339148. | − | 1.48590e6i | 0.183707 | − | 0.804875i | ||||
\(322\) | −36662.4 | − | 45973.2i | −0.0197052 | − | 0.0247096i | ||||
\(323\) | −2.05902e6 | − | 2.58193e6i | −1.09813 | − | 1.37701i | ||||
\(324\) | 152013. | − | 666013.i | 0.0804486 | − | 0.352468i | ||||
\(325\) | −855599. | − | 3.74862e6i | −0.449326 | − | 1.96863i | ||||
\(326\) | 98102.4 | + | 123017.i | 0.0511253 | + | 0.0641091i | ||||
\(327\) | 790738. | − | 380799.i | 0.408943 | − | 0.196937i | ||||
\(328\) | −189825. | + | 91414.8i | −0.0974246 | + | 0.0469172i | ||||
\(329\) | 86267.3 | + | 377962.i | 0.0439396 | + | 0.192512i | ||||
\(330\) | 13593.8 | − | 17046.1i | 0.00687158 | − | 0.00861668i | ||||
\(331\) | 3.05779e6 | + | 1.47255e6i | 1.53404 | + | 0.738756i | 0.994650 | − | 0.103299i | \(-0.0329399\pi\) |
0.539392 | + | 0.842055i | \(0.318654\pi\) | |||||||
\(332\) | 597920. | − | 749768.i | 0.297713 | − | 0.373320i | ||||
\(333\) | −45321.5 | + | 198567.i | −0.0223972 | + | 0.0981286i | ||||
\(334\) | −625.951 | + | 301.442i | −0.000307025 | + | 0.000147856i | ||||
\(335\) | 289750. | − | 1.26948e6i | 0.141063 | − | 0.618035i | ||||
\(336\) | 386886. | + | 186315.i | 0.186954 | + | 0.0900324i | ||||
\(337\) | −2.67773e6 | −1.28438 | −0.642188 | − | 0.766547i | \(-0.721973\pi\) | ||||
−0.642188 | + | 0.766547i | \(0.721973\pi\) | |||||||
\(338\) | 60201.5 | 0.0286626 | ||||||||
\(339\) | 703812. | + | 338938.i | 0.332627 | + | 0.160185i | ||||
\(340\) | 1.49242e6 | + | 6.53873e6i | 0.700156 | + | 3.06758i | ||||
\(341\) | 260882. | + | 327136.i | 0.121495 | + | 0.152350i | ||||
\(342\) | −76856.9 | + | 96375.5i | −0.0355318 | + | 0.0445555i | ||||
\(343\) | 1.72939e6 | 0.793700 | ||||||||
\(344\) | −297036. | − | 70319.8i | −0.135336 | − | 0.0320392i | ||||
\(345\) | −2.08497e6 | −0.943088 | ||||||||
\(346\) | −29266.9 | + | 36699.6i | −0.0131428 | + | 0.0164805i | ||||
\(347\) | −1.33009e6 | − | 1.66788e6i | −0.593004 | − | 0.743603i | 0.391266 | − | 0.920278i | \(-0.372037\pi\) |
−0.984269 | + | 0.176675i | \(0.943466\pi\) | |||||||
\(348\) | −162438. | − | 711686.i | −0.0719016 | − | 0.315022i | ||||
\(349\) | 2.04605e6 | + | 985325.i | 0.899192 | + | 0.433028i | 0.825597 | − | 0.564260i | \(-0.190839\pi\) |
0.0735948 | + | 0.997288i | \(0.476553\pi\) | |||||||
\(350\) | 184641. | 0.0805672 | ||||||||
\(351\) | −1.50309e6 | −0.651206 | ||||||||
\(352\) | −75307.3 | − | 36266.1i | −0.0323952 | − | 0.0156007i | ||||
\(353\) | −222875. | + | 976479.i | −0.0951973 | + | 0.417087i | −0.999961 | − | 0.00882716i | \(-0.997190\pi\) |
0.904764 | + | 0.425914i | \(0.140047\pi\) | |||||||
\(354\) | −96368.0 | + | 46408.4i | −0.0408719 | + | 0.0196829i | ||||
\(355\) | 757961. | − | 3.32085e6i | 0.319210 | − | 1.39855i | ||||
\(356\) | −1.00470e6 | + | 1.25985e6i | −0.420155 | + | 0.526858i | ||||
\(357\) | 758001. | + | 365034.i | 0.314774 | + | 0.151587i | ||||
\(358\) | 67427.1 | − | 84550.9i | 0.0278053 | − | 0.0348667i | ||||
\(359\) | −489659. | − | 2.14533e6i | −0.200520 | − | 0.878535i | −0.970621 | − | 0.240613i | \(-0.922652\pi\) |
0.770101 | − | 0.637922i | \(-0.220206\pi\) | |||||||
\(360\) | 452212. | − | 217774.i | 0.183902 | − | 0.0885624i | ||||
\(361\) | −282928. | + | 136251.i | −0.114264 | + | 0.0550265i | ||||
\(362\) | 14013.9 | + | 17572.9i | 0.00562067 | + | 0.00704810i | ||||
\(363\) | 259805. | + | 1.13828e6i | 0.103486 | + | 0.453402i | ||||
\(364\) | −188658. | + | 826566.i | −0.0746315 | + | 0.326982i | ||||
\(365\) | 1.92543e6 | + | 2.41441e6i | 0.756477 | + | 0.948592i | ||||
\(366\) | 49348.1 | + | 61880.6i | 0.0192561 | + | 0.0241464i | ||||
\(367\) | −28543.6 | + | 125057.i | −0.0110622 | + | 0.0484668i | −0.980158 | − | 0.198219i | \(-0.936484\pi\) |
0.969096 | + | 0.246686i | \(0.0793415\pi\) | |||||||
\(368\) | 588055. | + | 2.57644e6i | 0.226359 | + | 0.991745i | ||||
\(369\) | −976513. | − | 1.22451e6i | −0.373347 | − | 0.468162i | ||||
\(370\) | −41189.0 | + | 19835.6i | −0.0156414 | + | 0.00753252i | ||||
\(371\) | 1.66087e6 | − | 799834.i | 0.626472 | − | 0.301693i | ||||
\(372\) | −319058. | − | 1.39788e6i | −0.119540 | − | 0.523738i | ||||
\(373\) | −2.33278e6 | + | 2.92521e6i | −0.868163 | + | 1.08864i | 0.127145 | + | 0.991884i | \(0.459419\pi\) |
−0.995308 | + | 0.0967574i | \(0.969153\pi\) | |||||||
\(374\) | −48781.5 | − | 23491.9i | −0.0180333 | − | 0.00868439i | ||||
\(375\) | 2.53074e6 | − | 3.17345e6i | 0.929330 | − | 1.16534i | ||||
\(376\) | −38142.1 | + | 167111.i | −0.0139134 | + | 0.0609588i | ||||
\(377\) | 1.29217e6 | − | 622278.i | 0.468239 | − | 0.225492i | ||||
\(378\) | 16061.5 | − | 70370.0i | 0.00578171 | − | 0.0253313i | ||||
\(379\) | 2.70165e6 | + | 1.30104e6i | 0.966118 | + | 0.465258i | 0.849309 | − | 0.527896i | \(-0.177019\pi\) |
0.116810 | + | 0.993154i | \(0.462733\pi\) | |||||||
\(380\) | 5.66648e6 | 2.01305 | ||||||||
\(381\) | 1.46439e6 | 0.516824 | ||||||||
\(382\) | −301557. | − | 145222.i | −0.105733 | − | 0.0509183i | ||||
\(383\) | 137537. | + | 602588.i | 0.0479095 | + | 0.209905i | 0.993217 | − | 0.116275i | \(-0.0370954\pi\) |
−0.945308 | + | 0.326180i | \(0.894238\pi\) | |||||||
\(384\) | 237915. | + | 298336.i | 0.0823368 | + | 0.103247i | ||||
\(385\) | 262656. | − | 329360.i | 0.0903100 | − | 0.113245i | ||||
\(386\) | 12997.5 | 0.00444009 | ||||||||
\(387\) | 18286.2 | − | 2.26904e6i | 0.00620650 | − | 0.770132i | ||||
\(388\) | −1.84067e6 | −0.620722 | ||||||||
\(389\) | 531456. | − | 666425.i | 0.178071 | − | 0.223294i | −0.684783 | − | 0.728747i | \(-0.740103\pi\) |
0.862854 | + | 0.505453i | \(0.168674\pi\) | |||||||
\(390\) | −91521.0 | − | 114764.i | −0.0304691 | − | 0.0382070i | ||||
\(391\) | 1.15214e6 | + | 5.04784e6i | 0.381121 | + | 1.66980i | ||||
\(392\) | 307682. | + | 148172.i | 0.101132 | + | 0.0487024i | ||||
\(393\) | −2.64161e6 | −0.862756 | ||||||||
\(394\) | 219881. | 0.0713586 | ||||||||
\(395\) | −78997.6 | − | 38043.2i | −0.0254754 | − | 0.0122683i | ||||
\(396\) | 92100.1 | − | 403517.i | 0.0295136 | − | 0.129308i | ||||
\(397\) | 2.35420e6 | − | 1.13372e6i | 0.749666 | − | 0.361020i | −0.0197191 | − | 0.999806i | \(-0.506277\pi\) |
0.769385 | + | 0.638786i | \(0.220563\pi\) | |||||||
\(398\) | 55650.7 | − | 243822.i | 0.0176102 | − | 0.0771551i | ||||
\(399\) | 443182. | − | 555732.i | 0.139364 | − | 0.174757i | ||||
\(400\) | −7.47641e6 | − | 3.60045e6i | −2.33638 | − | 1.12514i | ||||
\(401\) | −2.85740e6 | + | 3.58307e6i | −0.887382 | + | 1.11274i | 0.105592 | + | 0.994410i | \(0.466326\pi\) |
−0.992974 | + | 0.118332i | \(0.962245\pi\) | |||||||
\(402\) | −8015.52 | − | 35118.3i | −0.00247381 | − | 0.0108385i | ||||
\(403\) | 2.53807e6 | − | 1.22227e6i | 0.778469 | − | 0.374891i | ||||
\(404\) | 2.05275e6 | − | 988552.i | 0.625723 | − | 0.301333i | ||||
\(405\) | 1.42486e6 | + | 1.78672e6i | 0.431653 | + | 0.541275i | ||||
\(406\) | 15325.4 | + | 67144.9i | 0.00461420 | + | 0.0202161i | ||||
\(407\) | −16818.5 | + | 73686.9i | −0.00503272 | + | 0.0220498i | ||||
\(408\) | 231925. | + | 290825.i | 0.0689759 | + | 0.0864930i | ||||
\(409\) | 424058. | + | 531752.i | 0.125348 | + | 0.157181i | 0.840545 | − | 0.541741i | \(-0.182235\pi\) |
−0.715197 | + | 0.698922i | \(0.753663\pi\) | |||||||
\(410\) | 78227.2 | − | 342736.i | 0.0229825 | − | 0.100693i | ||||
\(411\) | 291680. | + | 1.27793e6i | 0.0851729 | + | 0.373167i | ||||
\(412\) | −3.54277e6 | − | 4.44249e6i | −1.02825 | − | 1.28939i | ||||
\(413\) | −1.86200e6 | + | 896690.i | −0.537160 | + | 0.258683i | ||||
\(414\) | 174127. | − | 83855.0i | 0.0499304 | − | 0.0240452i | ||||
\(415\) | 713866. | + | 3.12765e6i | 0.203468 | + | 0.891453i | ||||
\(416\) | −350862. | + | 439967.i | −0.0994038 | + | 0.124648i | ||||
\(417\) | −1.10911e6 | − | 534117.i | −0.312344 | − | 0.150417i | ||||
\(418\) | −28521.1 | + | 35764.4i | −0.00798411 | + | 0.0100118i | ||||
\(419\) | −546282. | + | 2.39342e6i | −0.152013 | + | 0.666014i | 0.840285 | + | 0.542145i | \(0.182388\pi\) |
−0.992299 | + | 0.123869i | \(0.960470\pi\) | |||||||
\(420\) | −1.30062e6 | + | 626348.i | −0.359773 | + | 0.173258i | ||||
\(421\) | −1.00971e6 | + | 4.42384e6i | −0.277647 | + | 1.21645i | 0.623113 | + | 0.782132i | \(0.285868\pi\) |
−0.900760 | + | 0.434317i | \(0.856990\pi\) | |||||||
\(422\) | −240214. | − | 115681.i | −0.0656624 | − | 0.0316213i | ||||
\(423\) | −1.27420e6 | −0.346249 | ||||||||
\(424\) | 815050. | 0.220176 | ||||||||
\(425\) | −1.46480e7 | − | 7.05413e6i | −3.93376 | − | 1.89440i | ||||
\(426\) | −20967.9 | − | 91866.5i | −0.00559798 | − | 0.0245264i | ||||
\(427\) | 953492. | + | 1.19564e6i | 0.253074 | + | 0.317345i | ||||
\(428\) | 4.04914e6 | − | 5.07747e6i | 1.06845 | − | 1.33979i | ||||
\(429\) | −242682. | −0.0636640 | ||||||||
\(430\) | 400752. | − | 314339.i | 0.104521 | − | 0.0819837i | ||||
\(431\) | 1.52359e6 | 0.395071 | 0.197536 | − | 0.980296i | \(-0.436706\pi\) | ||||
0.197536 | + | 0.980296i | \(0.436706\pi\) | |||||||
\(432\) | −2.02255e6 | + | 2.53620e6i | −0.521423 | + | 0.653843i | ||||
\(433\) | −1.88917e6 | − | 2.36895e6i | −0.484231 | − | 0.607206i | 0.478361 | − | 0.878164i | \(-0.341231\pi\) |
−0.962591 | + | 0.270957i | \(0.912660\pi\) | |||||||
\(434\) | 30101.9 | + | 131885.i | 0.00767131 | + | 0.0336102i | ||||
\(435\) | 2.20018e6 | + | 1.05955e6i | 0.557488 | + | 0.268472i | ||||
\(436\) | 3.73971e6 | 0.942155 | ||||||||
\(437\) | 4.37448e6 | 1.09578 | ||||||||
\(438\) | 76969.1 | + | 37066.4i | 0.0191704 | + | 0.00923198i | ||||
\(439\) | 1.01851e6 | − | 4.46240e6i | 0.252235 | − | 1.10511i | −0.677104 | − | 0.735887i | \(-0.736765\pi\) |
0.929339 | − | 0.369227i | \(-0.120377\pi\) | |||||||
\(440\) | 167813. | − | 80814.6i | 0.0413232 | − | 0.0199002i | ||||
\(441\) | −564896. | + | 2.47497e6i | −0.138316 | + | 0.606002i | ||||
\(442\) | −227276. | + | 284995.i | −0.0553348 | + | 0.0693876i | ||||
\(443\) | −1.74982e6 | − | 842669.i | −0.423628 | − | 0.204008i | 0.209909 | − | 0.977721i | \(-0.432683\pi\) |
−0.633537 | + | 0.773713i | \(0.718397\pi\) | |||||||
\(444\) | 161485. | − | 202495.i | 0.0388753 | − | 0.0487481i | ||||
\(445\) | −1.19952e6 | − | 5.25545e6i | −0.287150 | − | 1.25809i | ||||
\(446\) | −57719.6 | + | 27796.3i | −0.0137400 | + | 0.00661683i | ||||
\(447\) | 103259. | − | 49727.0i | 0.0244433 | − | 0.0117713i | ||||
\(448\) | 1.12954e6 | + | 1.41640e6i | 0.265894 | + | 0.333420i | ||||
\(449\) | −681280. | − | 2.98488e6i | −0.159481 | − | 0.698733i | −0.989921 | − | 0.141624i | \(-0.954768\pi\) |
0.830439 | − | 0.557109i | \(-0.188090\pi\) | |||||||
\(450\) | −135040. | + | 591650.i | −0.0314363 | + | 0.137732i | ||||
\(451\) | −362378. | − | 454408.i | −0.0838921 | − | 0.105197i | ||||
\(452\) | 2.07535e6 | + | 2.60241e6i | 0.477799 | + | 0.599141i | ||||
\(453\) | −644149. | + | 2.82220e6i | −0.147483 | + | 0.646163i | ||||
\(454\) | −5320.03 | − | 23308.6i | −0.00121136 | − | 0.00530733i | ||||
\(455\) | −1.76834e6 | − | 2.21743e6i | −0.400441 | − | 0.502137i | ||||
\(456\) | 283153. | − | 136359.i | 0.0637688 | − | 0.0307094i | ||||
\(457\) | 5.09706e6 | − | 2.45462e6i | 1.14164 | − | 0.549785i | 0.235129 | − | 0.971964i | \(-0.424449\pi\) |
0.906513 | + | 0.422179i | \(0.138735\pi\) | |||||||
\(458\) | −24814.0 | − | 108717.i | −0.00552755 | − | 0.0242178i | ||||
\(459\) | −3.96265e6 | + | 4.96901e6i | −0.877918 | + | 1.10087i | ||||
\(460\) | −8.00434e6 | − | 3.85469e6i | −1.76372 | − | 0.849365i | ||||
\(461\) | −391509. | + | 490936.i | −0.0858003 | + | 0.107590i | −0.822879 | − | 0.568217i | \(-0.807633\pi\) |
0.737078 | + | 0.675807i | \(0.236205\pi\) | |||||||
\(462\) | 2593.21 | − | 11361.6i | 0.000565239 | − | 0.00247648i | ||||
\(463\) | 5.59321e6 | − | 2.69355e6i | 1.21258 | − | 0.583946i | 0.285341 | − | 0.958426i | \(-0.407893\pi\) |
0.927235 | + | 0.374480i | \(0.122179\pi\) | |||||||
\(464\) | 688757. | − | 3.01764e6i | 0.148515 | − | 0.650688i | ||||
\(465\) | 4.32156e6 | + | 2.08116e6i | 0.926848 | + | 0.446347i | ||||
\(466\) | −460620. | −0.0982602 | ||||||||
\(467\) | 861559. | 0.182807 | 0.0914035 | − | 0.995814i | \(-0.470865\pi\) | ||||
0.0914035 | + | 0.995814i | \(0.470865\pi\) | |||||||
\(468\) | −2.51061e6 | − | 1.20904e6i | −0.529863 | − | 0.255169i | ||||
\(469\) | −154874. | − | 678547.i | −0.0325122 | − | 0.142445i | ||||
\(470\) | −178323. | − | 223609.i | −0.0372359 | − | 0.0466923i | ||||
\(471\) | −336836. | + | 422378.i | −0.0699626 | + | 0.0877303i | ||||
\(472\) | −913750. | −0.188787 | ||||||||
\(473\) | 6785.91 | − | 842028.i | 0.00139462 | − | 0.173051i | ||||
\(474\) | −2425.56 | −0.000495869 | ||||||||
\(475\) | −8.56430e6 | + | 1.07393e7i | −1.74164 | + | 2.18394i | ||||
\(476\) | 2.23514e6 | + | 2.80278e6i | 0.452155 | + | 0.566985i | ||||
\(477\) | 1.34822e6 | + | 5.90694e6i | 0.271310 | + | 1.18868i | ||||
\(478\) | 69525.6 | + | 33481.8i | 0.0139179 | + | 0.00670252i | ||||
\(479\) | −9.15332e6 | −1.82280 | −0.911402 | − | 0.411517i | \(-0.864999\pi\) | ||||
−0.911402 | + | 0.411517i | \(0.864999\pi\) | |||||||
\(480\) | −958173. | −0.189820 | ||||||||
\(481\) | 458466. | + | 220785.i | 0.0903533 | + | 0.0435119i | ||||
\(482\) | 75730.2 | − | 331796.i | 0.0148474 | − | 0.0650509i | ||||
\(483\) | −1.00407e6 | + | 483535.i | −0.195838 | + | 0.0943106i | ||||
\(484\) | −1.10704e6 | + | 4.85026e6i | −0.214808 | + | 0.941135i | ||||
\(485\) | 3.83918e6 | − | 4.81418e6i | 0.741113 | − | 0.929326i | ||||
\(486\) | 334488. | + | 161081.i | 0.0642378 | + | 0.0309353i | ||||
\(487\) | −4.75509e6 | + | 5.96270e6i | −0.908524 | + | 1.13925i | 0.0812616 | + | 0.996693i | \(0.474105\pi\) |
−0.989786 | + | 0.142561i | \(0.954466\pi\) | |||||||
\(488\) | 150458. | + | 659202.i | 0.0286001 | + | 0.125305i | ||||
\(489\) | 2.68672e6 | − | 1.29386e6i | 0.508102 | − | 0.244689i | ||||
\(490\) | −513388. | + | 247235.i | −0.0965952 | + | 0.0465178i | ||||
\(491\) | −828998. | − | 1.03953e6i | −0.155185 | − | 0.194596i | 0.698161 | − | 0.715941i | \(-0.254002\pi\) |
−0.853346 | + | 0.521345i | \(0.825431\pi\) | |||||||
\(492\) | 443188. | + | 1.94173e6i | 0.0825420 | + | 0.361640i | ||||
\(493\) | 1.34944e6 | − | 5.91227e6i | 0.250055 | − | 1.09556i | ||||
\(494\) | 192020. | + | 240785.i | 0.0354021 | + | 0.0443928i | ||||
\(495\) | 863279. | + | 1.08252e6i | 0.158357 | + | 0.198574i | ||||
\(496\) | 1.35285e6 | − | 5.92721e6i | 0.246913 | − | 1.08180i | ||||
\(497\) | −405137. | − | 1.77502e6i | −0.0735717 | − | 0.322339i | ||||
\(498\) | 55332.9 | + | 69385.3i | 0.00999793 | + | 0.0125370i | ||||
\(499\) | 5.57571e6 | − | 2.68512e6i | 1.00242 | − | 0.482739i | 0.140659 | − | 0.990058i | \(-0.455078\pi\) |
0.861758 | + | 0.507320i | \(0.169364\pi\) | |||||||
\(500\) | 1.55827e7 | − | 7.50425e6i | 2.78753 | − | 1.34240i | ||||
\(501\) | 2929.98 | + | 12837.1i | 0.000521519 | + | 0.00228492i | ||||
\(502\) | 412502. | − | 517261.i | 0.0730578 | − | 0.0916116i | ||||
\(503\) | 2.34018e6 | + | 1.12697e6i | 0.412410 | + | 0.198606i | 0.628572 | − | 0.777751i | \(-0.283640\pi\) |
−0.216162 | + | 0.976357i | \(0.569354\pi\) | |||||||
\(504\) | 167269. | − | 209749.i | 0.0293319 | − | 0.0367810i | ||||
\(505\) | −1.69601e6 | + | 7.43072e6i | −0.295938 | + | 1.29659i | ||||
\(506\) | 64617.4 | − | 31118.1i | 0.0112195 | − | 0.00540302i | ||||
\(507\) | 253887. | − | 1.11235e6i | 0.0438653 | − | 0.192186i | ||||
\(508\) | 5.62187e6 | + | 2.70735e6i | 0.966543 | + | 0.465463i | ||||
\(509\) | −5.79574e6 | −0.991550 | −0.495775 | − | 0.868451i | \(-0.665116\pi\) | ||||
−0.495775 | + | 0.868451i | \(0.665116\pi\) | |||||||
\(510\) | −620671. | −0.105666 | ||||||||
\(511\) | 1.48718e6 | + | 716187.i | 0.251948 | + | 0.121332i | ||||
\(512\) | 451145. | + | 1.97660e6i | 0.0760574 | + | 0.333229i | ||||
\(513\) | 3.34794e6 | + | 4.19819e6i | 0.561675 | + | 0.704318i | ||||
\(514\) | 433071. | − | 543054.i | 0.0723022 | − | 0.0906641i | ||||
\(515\) | 1.90084e7 | 3.15812 | ||||||||
\(516\) | −1.27289e6 | + | 2.58959e6i | −0.210459 | + | 0.428161i | ||||
\(517\) | −472850. | −0.0778031 | ||||||||
\(518\) | −15235.5 | + | 19104.7i | −0.00249477 | + | 0.00312835i | ||||
\(519\) | 554677. | + | 695543.i | 0.0903903 | + | 0.113346i | ||||
\(520\) | −279040. | − | 1.22255e6i | −0.0452541 | − | 0.198271i | ||||
\(521\) | 8.72130e6 | + | 4.19995e6i | 1.40762 | + | 0.677876i | 0.974692 | − | 0.223551i | \(-0.0717648\pi\) |
0.432932 | + | 0.901427i | \(0.357479\pi\) | |||||||
\(522\) | −226362. | −0.0363603 | ||||||||
\(523\) | −3.77228e6 | −0.603045 | −0.301523 | − | 0.953459i | \(-0.597495\pi\) | ||||
−0.301523 | + | 0.953459i | \(0.597495\pi\) | |||||||
\(524\) | −1.01413e7 | − | 4.88380e6i | −1.61349 | − | 0.777016i | ||||
\(525\) | 778686. | − | 3.41164e6i | 0.123300 | − | 0.540214i | ||||
\(526\) | 440262. | − | 212019.i | 0.0693820 | − | 0.0334126i | ||||
\(527\) | 2.65055e6 | − | 1.16128e7i | 0.415728 | − | 1.82142i | ||||
\(528\) | −326551. | + | 409482.i | −0.0509760 | + | 0.0639219i | ||||
\(529\) | −380336. | − | 183160.i | −0.0590920 | − | 0.0284572i | ||||
\(530\) | −847925. | + | 1.06326e6i | −0.131120 | + | 0.164419i | ||||
\(531\) | −1.51148e6 | − | 6.62225e6i | −0.232631 | − | 1.01922i | ||||
\(532\) | 2.72884e6 | − | 1.31414e6i | 0.418022 | − | 0.201309i | ||||
\(533\) | −3.52551e6 | + | 1.69780e6i | −0.537532 | + | 0.258862i | ||||
\(534\) | −92976.9 | − | 116589.i | −0.0141098 | − | 0.0176932i | ||||
\(535\) | 4.83434e6 | + | 2.11806e7i | 0.730218 | + | 3.19930i | ||||
\(536\) | 68475.7 | − | 300012.i | 0.0102950 | − | 0.0451051i | ||||
\(537\) | −1.27790e6 | − | 1.60244e6i | −0.191232 | − | 0.239798i | ||||
\(538\) | 254780. | + | 319484.i | 0.0379498 | + | 0.0475875i | ||||
\(539\) | −209630. | + | 918448.i | −0.0310800 | + | 0.136170i | ||||
\(540\) | −2.42666e6 | − | 1.06319e7i | −0.358117 | − | 1.56901i | ||||
\(541\) | −3.34093e6 | − | 4.18940e6i | −0.490766 | − | 0.615401i | 0.473353 | − | 0.880873i | \(-0.343044\pi\) |
−0.964119 | + | 0.265472i | \(0.914472\pi\) | |||||||
\(542\) | −172020. | + | 82840.6i | −0.0251525 | + | 0.0121128i | ||||
\(543\) | 383798. | − | 184827.i | 0.0558603 | − | 0.0269009i | ||||
\(544\) | 529478. | + | 2.31980e6i | 0.0767098 | + | 0.336088i | ||||
\(545\) | −7.80010e6 | + | 9.78102e6i | −1.12489 | + | 1.41056i | ||||
\(546\) | −70689.6 | − | 34042.3i | −0.0101478 | − | 0.00488695i | ||||
\(547\) | −195691. | + | 245389.i | −0.0279642 | + | 0.0350661i | −0.795617 | − | 0.605800i | \(-0.792853\pi\) |
0.767653 | + | 0.640866i | \(0.221425\pi\) | |||||||
\(548\) | −1.24286e6 | + | 5.44532e6i | −0.176795 | + | 0.774590i | ||||
\(549\) | −4.52857e6 | + | 2.18084e6i | −0.641254 | + | 0.308812i | ||||
\(550\) | −50112.6 | + | 219558.i | −0.00706383 | + | 0.0309487i | ||||
\(551\) | −4.61619e6 | − | 2.22304e6i | −0.647747 | − | 0.311938i | ||||
\(552\) | −492734. | −0.0688280 | ||||||||
\(553\) | −46866.1 | −0.00651697 | ||||||||
\(554\) | 629803. | + | 303297.i | 0.0871828 | + | 0.0419850i | ||||
\(555\) | 192799. | + | 844708.i | 0.0265688 | + | 0.116406i | ||||
\(556\) | −3.27045e6 | − | 4.10102e6i | −0.448664 | − | 0.562606i | ||||
\(557\) | 1.77673e6 | − | 2.22795e6i | 0.242652 | − | 0.304276i | −0.645560 | − | 0.763709i | \(-0.723376\pi\) |
0.888212 | + | 0.459433i | \(0.151947\pi\) | |||||||
\(558\) | −444618. | −0.0604507 | ||||||||
\(559\) | −5.51669e6 | − | 1.30601e6i | −0.746705 | − | 0.176774i | ||||
\(560\) | −6.12099e6 | −0.824805 | ||||||||
\(561\) | −639790. | + | 802271.i | −0.0858282 | + | 0.107625i | ||||
\(562\) | −597440. | − | 749165.i | −0.0797909 | − | 0.100055i | ||||
\(563\) | 316366. | + | 1.38609e6i | 0.0420648 | + | 0.184298i | 0.991596 | − | 0.129376i | \(-0.0412973\pi\) |
−0.949531 | + | 0.313674i | \(0.898440\pi\) | |||||||
\(564\) | 1.45988e6 | + | 703041.i | 0.193250 | + | 0.0930643i | ||||
\(565\) | −1.11351e7 | −1.46749 | ||||||||
\(566\) | −490582. | −0.0643681 | ||||||||
\(567\) | 1.10054e6 | + | 529994.i | 0.143764 | + | 0.0692330i | ||||
\(568\) | 179126. | − | 784804.i | 0.0232964 | − | 0.102068i | ||||
\(569\) | −765488. | + | 368640.i | −0.0991192 | + | 0.0477333i | −0.482786 | − | 0.875738i | \(-0.660375\pi\) |
0.383667 | + | 0.923471i | \(0.374661\pi\) | |||||||
\(570\) | −116688. | + | 511242.i | −0.0150431 | + | 0.0659082i | ||||
\(571\) | 3.85619e6 | − | 4.83551e6i | 0.494958 | − | 0.620658i | −0.470126 | − | 0.882600i | \(-0.655791\pi\) |
0.965084 | + | 0.261942i | \(0.0843628\pi\) | |||||||
\(572\) | −931671. | − | 448669.i | −0.119062 | − | 0.0573372i | ||||
\(573\) | −3.95504e6 | + | 4.95947e6i | −0.503228 | + | 0.631028i | ||||
\(574\) | −41813.1 | − | 183195.i | −0.00529703 | − | 0.0232078i | ||||
\(575\) | 1.94032e7 | − | 9.34411e6i | 2.44740 | − | 1.17861i | ||||
\(576\) | −5.36473e6 | + | 2.58352e6i | −0.673739 | + | 0.324455i | ||||
\(577\) | 4.43200e6 | + | 5.55755e6i | 0.554192 | + | 0.694935i | 0.977472 | − | 0.211064i | \(-0.0676928\pi\) |
−0.423280 | + | 0.905999i | \(0.639121\pi\) | |||||||
\(578\) | 218391. | + | 956834.i | 0.0271904 | + | 0.119129i | ||||
\(579\) | 54814.3 | − | 240157.i | 0.00679512 | − | 0.0297714i | ||||
\(580\) | 6.48774e6 | + | 8.13537e6i | 0.800799 | + | 1.00417i | ||||
\(581\) | 1.06913e6 | + | 1.34064e6i | 0.131398 | + | 0.164768i | ||||
\(582\) | 37904.3 | − | 166070.i | 0.00463854 | − | 0.0203228i | ||||
\(583\) | 500317. | + | 2.19203e6i | 0.0609640 | + | 0.267101i | ||||
\(584\) | 455031. | + | 570590.i | 0.0552088 | + | 0.0692297i | ||||
\(585\) | 8.39868e6 | − | 4.04459e6i | 1.01466 | − | 0.488635i | ||||
\(586\) | 280392. | − | 135030.i | 0.0337304 | − | 0.0162437i | ||||
\(587\) | −1.56466e6 | − | 6.85524e6i | −0.187424 | − | 0.821159i | −0.977968 | − | 0.208754i | \(-0.933059\pi\) |
0.790544 | − | 0.612405i | \(-0.209798\pi\) | |||||||
\(588\) | 2.01278e6 | − | 2.52394e6i | 0.240078 | − | 0.301048i | ||||
\(589\) | −9.06707e6 | − | 4.36647e6i | −1.07691 | − | 0.518612i | ||||
\(590\) | 950605. | − | 1.19202e6i | 0.112427 | − | 0.140979i | ||||
\(591\) | 927301. | − | 4.06277e6i | 0.109207 | − | 0.478469i | ||||
\(592\) | 989443. | − | 476491.i | 0.116034 | − | 0.0558792i | ||||
\(593\) | 1.88390e6 | − | 8.25392e6i | 0.220000 | − | 0.963882i | −0.737477 | − | 0.675372i | \(-0.763983\pi\) |
0.957477 | − | 0.288510i | \(-0.0931597\pi\) | |||||||
\(594\) | 79318.2 | + | 38197.6i | 0.00922373 | + | 0.00444191i | ||||
\(595\) | −1.19925e7 | −1.38872 | ||||||||
\(596\) | 488354. | 0.0563143 | ||||||||
\(597\) | −4.27044e6 | − | 2.05653e6i | −0.490384 | − | 0.236157i | ||||
\(598\) | −107446. | − | 470752.i | −0.0122868 | − | 0.0538318i | ||||
\(599\) | 3.20096e6 | + | 4.01388e6i | 0.364513 | + | 0.457085i | 0.929939 | − | 0.367714i | \(-0.119860\pi\) |
−0.565426 | + | 0.824799i | \(0.691288\pi\) | |||||||
\(600\) | 964670. | − | 1.20966e6i | 0.109396 | − | 0.137178i | ||||
\(601\) | −472103. | −0.0533152 | −0.0266576 | − | 0.999645i | \(-0.508486\pi\) | ||||
−0.0266576 | + | 0.999645i | \(0.508486\pi\) | |||||||
\(602\) | 120093. | − | 244318.i | 0.0135059 | − | 0.0274767i | ||||
\(603\) | 2.28755e6 | 0.256199 | ||||||||
\(604\) | −7.69060e6 | + | 9.64370e6i | −0.857764 | + | 1.07560i | ||||
\(605\) | −1.03766e7 | − | 1.30118e7i | −1.15257 | − | 1.44527i | ||||
\(606\) | 46917.8 | + | 205560.i | 0.00518987 | + | 0.0227383i | ||||
\(607\) | −1.18581e7 | − | 5.71054e6i | −1.30630 | − | 0.629080i | −0.354285 | − | 0.935138i | \(-0.615276\pi\) |
−0.952013 | + | 0.306058i | \(0.900990\pi\) | |||||||
\(608\) | 2.01034e6 | 0.220552 | ||||||||
\(609\) | 1.30528e6 | 0.142613 | ||||||||
\(610\) | −1.01648e6 | − | 489511.i | −0.110605 | − | 0.0532645i | ||||
\(611\) | −708392. | + | 3.10367e6i | −0.0767663 | + | 0.336335i | ||||
\(612\) | −1.06157e7 | + | 5.11226e6i | −1.14570 | + | 0.551740i | ||||
\(613\) | 3.40150e6 | − | 1.49029e7i | 0.365611 | − | 1.60184i | −0.373079 | − | 0.927799i | \(-0.621698\pi\) |
0.738690 | − | 0.674045i | \(-0.235445\pi\) | |||||||
\(614\) | 316479. | − | 396852.i | 0.0338784 | − | 0.0424822i | ||||
\(615\) | −6.00288e6 | − | 2.89083e6i | −0.639988 | − | 0.308202i | ||||
\(616\) | 62072.6 | − | 77836.6i | 0.00659096 | − | 0.00826480i | ||||
\(617\) | 264651. | + | 1.15951e6i | 0.0279872 | + | 0.122620i | 0.986992 | − | 0.160770i | \(-0.0513979\pi\) |
−0.959005 | + | 0.283391i | \(0.908541\pi\) | |||||||
\(618\) | 473766. | − | 228154.i | 0.0498991 | − | 0.0240302i | ||||
\(619\) | 1.46168e7 | − | 7.03907e6i | 1.53329 | − | 0.738395i | 0.538725 | − | 0.842482i | \(-0.318906\pi\) |
0.994568 | + | 0.104086i | \(0.0331918\pi\) | |||||||
\(620\) | 1.27431e7 | + | 1.59794e7i | 1.33136 | + | 1.66948i | ||||
\(621\) | −1.87336e6 | − | 8.20774e6i | −0.194936 | − | 0.854072i | ||||
\(622\) | −4678.59 | + | 20498.2i | −0.000484885 | + | 0.00212442i | ||||
\(623\) | −1.79648e6 | − | 2.25271e6i | −0.185439 | − | 0.232533i | ||||
\(624\) | 2.19852e6 | + | 2.75686e6i | 0.226031 | + | 0.283434i | ||||
\(625\) | −7.15635e6 | + | 3.13540e7i | −0.732810 | + | 3.21065i | ||||
\(626\) | 82831.2 | + | 362907.i | 0.00844808 | + | 0.0370135i | ||||
\(627\) | 540542. | + | 677819.i | 0.0549112 | + | 0.0688565i | ||||
\(628\) | −2.07402e6 | + | 998797.i | −0.209853 | + | 0.101060i | ||||
\(629\) | 1.93855e6 | − | 933557.i | 0.195367 | − | 0.0940837i | ||||
\(630\) | 99609.6 | + | 436418.i | 0.00999884 | + | 0.0438078i | ||||
\(631\) | 601862. | − | 754711.i | 0.0601760 | − | 0.0754583i | −0.750833 | − | 0.660493i | \(-0.770348\pi\) |
0.811009 | + | 0.585034i | \(0.198919\pi\) | |||||||
\(632\) | −18669.2 | − | 8990.63i | −0.00185923 | − | 0.000895360i | ||||
\(633\) | −3.15051e6 | + | 3.95061e6i | −0.312515 | + | 0.391882i | ||||
\(634\) | 25118.6 | − | 110052.i | 0.00248184 | − | 0.0108736i | ||||
\(635\) | −1.88067e7 | + | 9.05684e6i | −1.85088 | + | 0.891338i | ||||
\(636\) | 1.71447e6 | − | 7.51157e6i | 0.168069 | − | 0.736356i | ||||
\(637\) | 5.71441e6 | + | 2.75191e6i | 0.557985 | + | 0.268712i | ||||
\(638\) | −84001.7 | −0.00817027 | ||||||||
\(639\) | 5.98404e6 | 0.579752 | ||||||||
\(640\) | −4.90061e6 | − | 2.36001e6i | −0.472934 | − | 0.227753i | ||||
\(641\) | 1.32812e6 | + | 5.81886e6i | 0.127671 | + | 0.559362i | 0.997786 | + | 0.0665128i | \(0.0211873\pi\) |
−0.870115 | + | 0.492849i | \(0.835956\pi\) | |||||||
\(642\) | 374718. | + | 469881.i | 0.0358812 | + | 0.0449935i | ||||
\(643\) | 8.72636e6 | − | 1.09425e7i | 0.832349 | − | 1.04373i | −0.165990 | − | 0.986127i | \(-0.553082\pi\) |
0.998339 | − | 0.0576054i | \(-0.0183465\pi\) | |||||||
\(644\) | −4.74865e6 | −0.451186 | ||||||||
\(645\) | −4.11801e6 | − | 8.73042e6i | −0.389752 | − | 0.826296i | ||||
\(646\) | 1.30223e6 | 0.122774 | ||||||||
\(647\) | −7.16370e6 | + | 8.98300e6i | −0.672786 | + | 0.843647i | −0.994668 | − | 0.103133i | \(-0.967113\pi\) |
0.321882 | + | 0.946780i | \(0.395685\pi\) | |||||||
\(648\) | 336732. | + | 422249.i | 0.0315027 | + | 0.0395031i | ||||
\(649\) | −560903. | − | 2.45748e6i | −0.0522729 | − | 0.229022i | ||||
\(650\) | 1.36605e6 | + | 657853.i | 0.126818 | + | 0.0610725i | ||||
\(651\) | 2.56381e6 | 0.237101 | ||||||||
\(652\) | 1.27066e7 | 1.17060 | ||||||||
\(653\) | 8.77341e6 | + | 4.22505e6i | 0.805166 | + | 0.387748i | 0.790743 | − | 0.612148i | \(-0.209695\pi\) |
0.0144232 | + | 0.999896i | \(0.495409\pi\) | |||||||
\(654\) | −77010.5 | + | 337405.i | −0.00704053 | + | 0.0308466i | ||||
\(655\) | 3.39256e7 | − | 1.63377e7i | 3.08975 | − | 1.48795i | ||||
\(656\) | −1.87917e6 | + | 8.23320e6i | −0.170493 | + | 0.746980i | ||||
\(657\) | −3.38257e6 | + | 4.24160e6i | −0.305726 | + | 0.383369i | ||||
\(658\) | −137734. | − | 66329.2i | −0.0124016 | − | 0.00597228i | ||||
\(659\) | 3.81578e6 | − | 4.78484e6i | 0.342271 | − | 0.429194i | −0.580668 | − | 0.814140i | \(-0.697209\pi\) |
0.922939 | + | 0.384946i | \(0.125780\pi\) | |||||||
\(660\) | −391797. | − | 1.71657e6i | −0.0350107 | − | 0.153392i | ||||
\(661\) | −1.54449e6 | + | 743785.i | −0.137493 | + | 0.0662131i | −0.501365 | − | 0.865236i | \(-0.667169\pi\) |
0.363872 | + | 0.931449i | \(0.381454\pi\) | |||||||
\(662\) | −1.20577e6 | + | 580667.i | −0.106935 | + | 0.0514970i | ||||
\(663\) | 4.30742e6 | + | 5.40133e6i | 0.380569 | + | 0.477218i | ||||
\(664\) | 168706. | + | 739148.i | 0.0148494 | + | 0.0650595i | ||||
\(665\) | −2.25461e6 | + | 9.87809e6i | −0.197705 | + | 0.866201i | ||||
\(666\) | −50074.8 | − | 62791.8i | −0.00437455 | − | 0.00548551i | ||||
\(667\) | 5.00848e6 | + | 6.28043e6i | 0.435904 | + | 0.546607i | ||||
\(668\) | −12484.8 | + | 54699.3i | −0.00108253 | + | 0.00474286i | ||||
\(669\) | 270176. | + | 1.18372e6i | 0.0233390 | + | 0.102255i | ||||
\(670\) | 320139. | + | 401441.i | 0.0275519 | + | 0.0345490i | ||||
\(671\) | −1.68053e6 | + | 809299.i | −0.144092 | + | 0.0693909i | ||||
\(672\) | −461433. | + | 222214.i | −0.0394172 | + | 0.0189823i | ||||
\(673\) | −2.12092e6 | − | 9.29234e6i | −0.180504 | − | 0.790838i | −0.981391 | − | 0.192022i | \(-0.938495\pi\) |
0.800887 | − | 0.598815i | \(-0.204362\pi\) | |||||||
\(674\) | 658343. | − | 825537.i | 0.0558217 | − | 0.0699982i | ||||
\(675\) | 2.38176e7 | + | 1.14699e7i | 2.01205 | + | 0.968950i | ||||
\(676\) | 3.03120e6 | − | 3.80101e6i | 0.255122 | − | 0.319913i | ||||
\(677\) | 1.77734e6 | − | 7.78701e6i | 0.149038 | − | 0.652979i | −0.844115 | − | 0.536162i | \(-0.819874\pi\) |
0.993153 | − | 0.116817i | \(-0.0372692\pi\) | |||||||
\(678\) | −277532. | + | 133652.i | −0.0231867 | + | 0.0111661i | ||||
\(679\) | 732377. | − | 3.20875e6i | 0.0609621 | − | 0.267093i | ||||
\(680\) | −4.77723e6 | − | 2.30059e6i | −0.396190 | − | 0.190795i | ||||
\(681\) | −453113. | −0.0374402 | ||||||||
\(682\) | −164995. | −0.0135834 | ||||||||
\(683\) | −1.32092e7 | − | 6.36122e6i | −1.08349 | − | 0.521782i | −0.195060 | − | 0.980791i | \(-0.562490\pi\) |
−0.888431 | + | 0.459009i | \(0.848204\pi\) | |||||||
\(684\) | 2.21515e6 | + | 9.70519e6i | 0.181035 | + | 0.793166i | ||||
\(685\) | −1.16496e7 | − | 1.46082e7i | −0.948606 | − | 1.18951i | ||||
\(686\) | −425184. | + | 533164.i | −0.0344959 | + | 0.0432565i | ||||
\(687\) | −2.11343e6 | −0.170843 | ||||||||
\(688\) | −9.62687e6 | + | 7.55106e6i | −0.775379 | + | 0.608187i | ||||
\(689\) | 1.51375e7 | 1.21480 | ||||||||
\(690\) | 512608. | − | 642791.i | 0.0409886 | − | 0.0513981i | ||||
\(691\) | −1.08181e7 | − | 1.35654e7i | −0.861895 | − | 1.08078i | −0.995959 | − | 0.0898099i | \(-0.971374\pi\) |
0.134064 | − | 0.990973i | \(-0.457197\pi\) | |||||||
\(692\) | 843523. | + | 3.69572e6i | 0.0669625 | + | 0.293382i | ||||
\(693\) | 666786. | + | 321107.i | 0.0527416 | + | 0.0253990i | ||||
\(694\) | 841217. | 0.0662994 | ||||||||
\(695\) | 1.75473e7 | 1.37800 | ||||||||
\(696\) | 519961. | + | 250400.i | 0.0406863 | + | 0.0195935i | ||||
\(697\) | −3.68175e6 | + | 1.61308e7i | −0.287059 | + | 1.25769i | ||||
\(698\) | −806812. | + | 388540.i | −0.0626807 | + | 0.0301854i | ||||
\(699\) | −1.94257e6 | + | 8.51095e6i | −0.150378 | + | 0.658848i | ||||
\(700\) | 9.29686e6 | − | 1.16579e7i | 0.717119 | − | 0.899238i | ||||
\(701\) | −1.67899e7 | − | 8.08561e6i | −1.29049 | − | 0.621467i | −0.342425 | − | 0.939545i | \(-0.611248\pi\) |
−0.948064 | + | 0.318079i | \(0.896962\pi\) | |||||||
\(702\) | 369549. | − | 463399.i | 0.0283028 | − | 0.0354905i | ||||
\(703\) | −404511. | − | 1.77228e6i | −0.0308704 | − | 0.135252i | ||||
\(704\) | −1.99082e6 | + | 958728.i | −0.151391 | + | 0.0729061i | ||||
\(705\) | −4.88371e6 | + | 2.35187e6i | −0.370064 | + | 0.178213i | ||||
\(706\) | −246250. | − | 308788.i | −0.0185936 | − | 0.0233157i | ||||
\(707\) | 906534. | + | 3.97178e6i | 0.0682080 | + | 0.298839i | ||||
\(708\) | −1.92208e6 | + | 8.42119e6i | −0.144108 | + | 0.631380i | ||||
\(709\) | 1.07396e7 | + | 1.34670e7i | 0.802365 | + | 1.00613i | 0.999667 | + | 0.0257911i | \(0.00821047\pi\) |
−0.197302 | + | 0.980343i | \(0.563218\pi\) | |||||||
\(710\) | 837456. | + | 1.05014e6i | 0.0623470 | + | 0.0781807i | ||||
\(711\) | 34276.3 | − | 150174.i | 0.00254284 | − | 0.0111409i | ||||
\(712\) | −283479. | − | 1.24200e6i | −0.0209566 | − | 0.0918169i | ||||
\(713\) | 9.83759e6 | + | 1.23359e7i | 0.724711 | + | 0.908759i | ||||
\(714\) | −298900. | + | 143943.i | −0.0219422 | + | 0.0105668i | ||||
\(715\) | 3.11670e6 | − | 1.50092e6i | 0.227998 | − | 0.109798i | ||||
\(716\) | −1.94337e6 | − | 8.51444e6i | −0.141668 | − | 0.620688i | ||||
\(717\) | 911857. | − | 1.14343e6i | 0.0662413 | − | 0.0830640i | ||||
\(718\) | 781787. | + | 376489.i | 0.0565949 | + | 0.0272547i | ||||
\(719\) | 1.15209e7 | − | 1.44468e7i | 0.831123 | − | 1.04219i | −0.167292 | − | 0.985907i | \(-0.553502\pi\) |
0.998415 | − | 0.0562875i | \(-0.0179263\pi\) | |||||||
\(720\) | 4.47668e6 | − | 1.96136e7i | 0.321829 | − | 1.41002i | ||||
\(721\) | 9.15399e6 | − | 4.40833e6i | 0.655801 | − | 0.315817i | ||||
\(722\) | 27554.6 | − | 120724.i | 0.00196721 | − | 0.00861890i | ||||
\(723\) | −5.81127e6 | − | 2.79856e6i | −0.413452 | − | 0.199108i | ||||
\(724\) | 1.81513e6 | 0.128695 | ||||||||
\(725\) | −2.52239e7 | −1.78225 | ||||||||
\(726\) | −414804. | − | 199759.i | −0.0292080 | − | 0.0140658i | ||||
\(727\) | 2.67304e6 | + | 1.17114e7i | 0.187573 | + | 0.821810i | 0.977891 | + | 0.209114i | \(0.0670579\pi\) |
−0.790319 | + | 0.612696i | \(0.790085\pi\) | |||||||
\(728\) | −417907. | − | 524039.i | −0.0292248 | − | 0.0366467i | ||||
\(729\) | 1.13675e6 | − | 1.42544e6i | 0.0792220 | − | 0.0993413i | ||||
\(730\) | −1.21774e6 | −0.0845761 | ||||||||
\(731\) | −1.88613e7 | + | 1.47943e7i | −1.30550 | + | 1.02400i | ||||
\(732\) | 6.39175e6 | 0.440902 | ||||||||
\(733\) | −932489. | + | 1.16930e6i | −0.0641038 | + | 0.0803836i | −0.812850 | − | 0.582474i | \(-0.802085\pi\) |
0.748746 | + | 0.662857i | \(0.230656\pi\) | |||||||
\(734\) | −31537.2 | − | 39546.4i | −0.00216064 | − | 0.00270936i | ||||
\(735\) | 2.40309e6 | + | 1.05286e7i | 0.164078 | + | 0.718874i | ||||
\(736\) | −2.83976e6 | − | 1.36756e6i | −0.193236 | − | 0.0930574i | ||||
\(737\) | 848898. | 0.0575687 | ||||||||
\(738\) | 617597. | 0.0417411 | ||||||||
\(739\) | −1.88128e7 | − | 9.05976e6i | −1.26719 | − | 0.610247i | −0.325124 | − | 0.945671i | \(-0.605406\pi\) |
−0.942067 | + | 0.335424i | \(0.891120\pi\) | |||||||
\(740\) | −821525. | + | 3.59933e6i | −0.0551495 | + | 0.241626i | ||||
\(741\) | 5.25884e6 | − | 2.53252e6i | 0.351839 | − | 0.169437i | ||||
\(742\) | −161753. | + | 708688.i | −0.0107856 | + | 0.0472547i | ||||
\(743\) | −1.55441e7 | + | 1.94917e7i | −1.03299 | + | 1.29532i | −0.0785485 | + | 0.996910i | \(0.525029\pi\) |
−0.954437 | + | 0.298413i | \(0.903543\pi\) | |||||||
\(744\) | 1.02130e6 | + | 491833.i | 0.0676428 | + | 0.0325750i | ||||
\(745\) | −1.01858e6 | + | 1.27726e6i | −0.0672366 | + | 0.0843120i | ||||
\(746\) | −328300. | − | 1.43838e6i | −0.0215985 | − | 0.0946293i | ||||
\(747\) | −5.07778e6 | + | 2.44533e6i | −0.332945 | + | 0.160338i | ||||
\(748\) | −3.93943e6 | + | 1.89713e6i | −0.257442 | + | 0.123977i | ||||
\(749\) | 7.24020e6 | + | 9.07892e6i | 0.471570 | + | 0.591329i | ||||
\(750\) | 356161. | + | 1.56044e6i | 0.0231203 | + | 0.101296i | ||||
\(751\) | 4.42340e6 | − | 1.93802e7i | 0.286191 | − | 1.25388i | −0.603515 | − | 0.797351i | \(-0.706234\pi\) |
0.889706 | − | 0.456533i | \(-0.150909\pi\) | |||||||
\(752\) | 4.28367e6 | + | 5.37155e6i | 0.276230 | + | 0.346382i | ||||
\(753\) | −7.81788e6 | − | 9.80331e6i | −0.502460 | − | 0.630065i | ||||
\(754\) | −125846. | + | 551366.i | −0.00806139 | + | 0.0353193i | ||||
\(755\) | −9.18193e6 | − | 4.02287e7i | −0.586228 | − | 2.56843i | ||||
\(756\) | −3.63431e6 | − | 4.55729e6i | −0.231269 | − | 0.290003i | ||||
\(757\) | 370924. | − | 178628.i | 0.0235258 | − | 0.0113294i | −0.422084 | − | 0.906557i | \(-0.638701\pi\) |
0.445610 | + | 0.895227i | \(0.352987\pi\) | |||||||
\(758\) | −1.06533e6 | + | 513036.i | −0.0673460 | + | 0.0324321i | ||||
\(759\) | −302464. | − | 1.32518e6i | −0.0190576 | − | 0.0834970i | ||||
\(760\) | −2.79311e6 | + | 3.50245e6i | −0.175410 | + | 0.219957i | ||||
\(761\) | 1.57936e7 | + | 7.60580e6i | 0.988598 | + | 0.476083i | 0.857054 | − | 0.515227i | \(-0.172292\pi\) |
0.131544 | + | 0.991310i | \(0.458007\pi\) | |||||||
\(762\) | −360032. | + | 451466.i | −0.0224623 | + | 0.0281668i | ||||
\(763\) | −1.48798e6 | + | 6.51925e6i | −0.0925305 | + | 0.405403i | ||||
\(764\) | −2.43527e7 | + | 1.17276e7i | −1.50943 | + | 0.726905i | ||||
\(765\) | 8.77087e6 | − | 3.84277e7i | 0.541862 | − | 2.37405i | ||||
\(766\) | −219591. | − | 105749.i | −0.0135220 | − | 0.00651187i | ||||
\(767\) | −1.69706e7 | −1.04162 | ||||||||
\(768\) | 7.45843e6 | 0.456293 | ||||||||
\(769\) | 2.58782e7 | + | 1.24623e7i | 1.57804 | + | 0.759945i | 0.998487 | − | 0.0549884i | \(-0.0175122\pi\) |
0.579555 | + | 0.814933i | \(0.303226\pi\) | |||||||
\(770\) | 36964.5 | + | 161952.i | 0.00224677 | + | 0.00984374i | ||||
\(771\) | −8.20771e6 | − | 1.02921e7i | −0.497263 | − | 0.623548i | ||||
\(772\) | 654436. | − | 820637.i | 0.0395207 | − | 0.0495573i | ||||
\(773\) | −2.99749e7 | −1.80430 | −0.902151 | − | 0.431420i | \(-0.858013\pi\) | ||||
−0.902151 | + | 0.431420i | \(0.858013\pi\) | |||||||
\(774\) | 695043. | + | 563501.i | 0.0417022 | + | 0.0338098i | ||||
\(775\) | −4.95445e7 | −2.96307 | ||||||||
\(776\) | 907301. | − | 1.13772e6i | 0.0540875 | − | 0.0678236i | ||||
\(777\) | 288747. | + | 362078.i | 0.0171580 | + | 0.0215154i | ||||
\(778\) | 74793.8 | + | 327693.i | 0.00443013 | + | 0.0194097i | ||||
\(779\) | 1.25946e7 | + | 6.06525e6i | 0.743604 | + | 0.358101i | ||||
\(780\) | −1.18541e7 | −0.697643 | ||||||||
\(781\) | 2.22064e6 | 0.130272 | ||||||||
\(782\) | −1.83950e6 | − | 885856.i | −0.107568 | − | 0.0518020i | ||||
\(783\) | −2.19417e6 | + | 9.61329e6i | −0.127899 | + | 0.560361i | ||||
\(784\) | 1.23326e7 | − | 5.93907e6i | 0.716581 | − | 0.345087i | ||||
\(785\) | 1.71359e6 | − | 7.50774e6i | 0.0992506 | − | 0.434845i | ||||
\(786\) | 649464. | − | 814402.i | 0.0374972 | − | 0.0470200i | ||||
\(787\) | 1.72687e7 | + | 8.31616e6i | 0.993854 | + | 0.478615i | 0.858848 | − | 0.512230i | \(-0.171180\pi\) |
0.135006 | + | 0.990845i | \(0.456895\pi\) | |||||||
\(788\) | 1.10712e7 | − | 1.38828e7i | 0.635154 | − | 0.796458i | ||||
\(789\) | −2.06080e6 | − | 9.02894e6i | −0.117854 | − | 0.516350i | ||||
\(790\) | 31150.9 | − | 15001.5i | 0.00177583 | − | 0.000855197i | ||||
\(791\) | −5.36240e6 | + | 2.58240e6i | −0.304732 | + | 0.146751i | ||||
\(792\) | 204016. | + | 255828.i | 0.0115572 | + | 0.0144922i | ||||
\(793\) | 2.79438e6 | + | 1.22430e7i | 0.157798 | + | 0.691360i | ||||
\(794\) | −229277. | + | 1.00453e6i | −0.0129065 | + | 0.0565473i | ||||
\(795\) | 1.60702e7 | + | 2.01513e7i | 0.901784 | + | 1.13080i | ||||
\(796\) | −1.25924e7 | − | 1.57903e7i | −0.704409 | − | 0.883301i | ||||
\(797\) | 2.19831e6 | − | 9.63140e6i | 0.122586 | − | 0.537086i | −0.875920 | − | 0.482456i | \(-0.839745\pi\) |
0.998507 | − | 0.0546301i | \(-0.0173980\pi\) | |||||||
\(798\) | 62370.6 | + | 273263.i | 0.00346715 | + | 0.0151906i | ||||
\(799\) | 8.39271e6 | + | 1.05241e7i | 0.465088 | + | 0.583202i | ||||
\(800\) | 8.91699e6 | − | 4.29420e6i | 0.492599 | − | 0.237223i | ||||
\(801\) | 8.53229e6 | − | 4.10893e6i | 0.469877 | − | 0.226281i | ||||
\(802\) | −402133. | − | 1.76186e6i | −0.0220767 | − | 0.0967242i | ||||
\(803\) | −1.25525e6 | + | 1.57403e6i | −0.0686976 | + | 0.0861441i | ||||
\(804\) | −2.62089e6 | − | 1.26216e6i | −0.142991 | − | 0.0688609i | ||||
\(805\) | 9.90449e6 | − | 1.24198e7i | 0.538694 | − | 0.675501i | ||||
\(806\) | −247184. | + | 1.08299e6i | −0.0134024 | + | 0.0587199i | ||||
\(807\) | 6.97763e6 | − | 3.36025e6i | 0.377159 | − | 0.181630i | ||||
\(808\) | −400813. | + | 1.75608e6i | −0.0215980 | + | 0.0946271i | ||||
\(809\) | 1.96844e7 | + | 9.47949e6i | 1.05743 | + | 0.509230i | 0.880034 | − | 0.474911i | \(-0.157520\pi\) |
0.177392 | + | 0.984140i | \(0.443234\pi\) | |||||||
\(810\) | −901154. | −0.0482599 | ||||||||
\(811\) | −1.92138e7 | −1.02580 | −0.512899 | − | 0.858449i | \(-0.671428\pi\) | ||||
−0.512899 | + | 0.858449i | \(0.671428\pi\) | |||||||
\(812\) | 5.01105e6 | + | 2.41319e6i | 0.266709 | + | 0.128440i | ||||
\(813\) | 805199. | + | 3.52781e6i | 0.0427245 | + | 0.187188i | ||||
\(814\) | −18582.5 | − | 23301.7i | −0.000982974 | − | 0.00123261i | ||||
\(815\) | −2.65027e7 | + | 3.32334e7i | −1.39764 | + | 1.75259i | ||||
\(816\) | 1.49098e7 | 0.783873 | ||||||||
\(817\) | 8.63998e6 | + | 1.83173e7i | 0.452854 | + | 0.960076i | ||||
\(818\) | −268196. | −0.0140142 | ||||||||
\(819\) | 3.10660e6 | − | 3.89555e6i | 0.161836 | − | 0.202936i | ||||
\(820\) | −1.77009e7 | − | 2.21962e7i | −0.919305 | − | 1.15277i | ||||
\(821\) | 3.63796e6 | + | 1.59389e7i | 0.188365 | + | 0.825280i | 0.977479 | + | 0.211033i | \(0.0676829\pi\) |
−0.789114 | + | 0.614247i | \(0.789460\pi\) | |||||||
\(822\) | −465695. | − | 224267.i | −0.0240393 | − | 0.0115767i | ||||
\(823\) | 1.62210e7 | 0.834792 | 0.417396 | − | 0.908725i | \(-0.362943\pi\) | ||||
0.417396 | + | 0.908725i | \(0.362943\pi\) | |||||||
\(824\) | 4.49220e6 | 0.230484 | ||||||||
\(825\) | 3.84547e6 | + | 1.85188e6i | 0.196704 | + | 0.0947278i | ||||
\(826\) | 181341. | − | 794507.i | 0.00924796 | − | 0.0405180i | ||||
\(827\) | −2.21458e7 | + | 1.06648e7i | −1.12597 | + | 0.542239i | −0.901732 | − | 0.432296i | \(-0.857704\pi\) |
−0.224238 | + | 0.974534i | \(0.571989\pi\) | |||||||
\(828\) | 3.47300e6 | − | 1.52162e7i | 0.176047 | − | 0.771313i | ||||
\(829\) | 1.84819e7 | − | 2.31755e7i | 0.934028 | − | 1.17123i | −0.0509760 | − | 0.998700i | \(-0.516233\pi\) |
0.985004 | − | 0.172534i | \(-0.0551954\pi\) | |||||||
\(830\) | −1.13976e6 | − | 548878.i | −0.0574271 | − | 0.0276554i | ||||
\(831\) | 8.26014e6 | − | 1.03579e7i | 0.414940 | − | 0.520318i | ||||
\(832\) | 3.31034e6 | + | 1.45035e7i | 0.165792 | + | 0.726383i | ||||
\(833\) | 2.41625e7 | − | 1.16360e7i | 1.20651 | − | 0.581022i | ||||
\(834\) | 437350. | − | 210617.i | 0.0217728 | − | 0.0104852i | ||||
\(835\) | −117023. | − | 146742.i | −0.00580838 | − | 0.00728347i | ||||
\(836\) | 822028. | + | 3.60154e6i | 0.0406791 | + | 0.178227i | ||||
\(837\) | −4.30976e6 | + | 1.88823e7i | −0.212637 | + | 0.931625i | ||||
\(838\) | −603575. | − | 756860.i | −0.0296908 | − | 0.0372311i | ||||
\(839\) | 1.29053e7 | + | 1.61828e7i | 0.632942 | + | 0.793684i | 0.990101 | − | 0.140360i | \(-0.0448258\pi\) |
−0.357159 | + | 0.934044i | \(0.616254\pi\) | |||||||
\(840\) | 253956. | − | 1.11265e6i | 0.0124182 | − | 0.0544079i | ||||
\(841\) | 2.47055e6 | + | 1.08242e7i | 0.120449 | + | 0.527722i | ||||
\(842\) | −1.11561e6 | − | 1.39893e6i | −0.0542291 | − | 0.0680011i | ||||
\(843\) | −1.63620e7 | + | 7.87954e6i | −0.792991 | + | 0.381884i | ||||
\(844\) | −1.93989e7 | + | 9.34200e6i | −0.937389 | + | 0.451423i | ||||
\(845\) | 3.61900e6 | + | 1.58559e7i | 0.174360 | + | 0.763921i | ||||
\(846\) | 313274. | − | 392833.i | 0.0150487 | − | 0.0188705i | ||||
\(847\) | −8.01474e6 | − | 3.85970e6i | −0.383867 | − | 0.184861i | ||||
\(848\) | 2.03689e7 | − | 2.55418e7i | 0.972696 | − | 1.21972i | ||||
\(849\) | −2.06893e6 | + | 9.06456e6i | −0.0985090 | + | 0.431596i | ||||
\(850\) | 5.77612e6 | − | 2.78163e6i | 0.274213 | − | 0.132054i | ||||
\(851\) | −634210. | + | 2.77866e6i | −0.0300199 | + | 0.131526i | ||||
\(852\) | −6.85603e6 | − | 3.30169e6i | −0.323574 | − | 0.155825i | ||||
\(853\) | 6.25184e6 | 0.294195 | 0.147097 | − | 0.989122i | \(-0.453007\pi\) | ||||
0.147097 | + | 0.989122i | \(0.453007\pi\) | |||||||
\(854\) | −603037. | −0.0282943 | ||||||||
\(855\) | −3.00036e7 | − | 1.44490e7i | −1.40365 | − | 0.675962i | ||||
\(856\) | 1.14248e6 | + | 5.00555e6i | 0.0532924 | + | 0.233489i | ||||
\(857\) | 1.12364e7 | + | 1.40900e7i | 0.522606 | + | 0.655327i | 0.971160 | − | 0.238429i | \(-0.0766323\pi\) |
−0.448554 | + | 0.893756i | \(0.648061\pi\) | |||||||
\(858\) | 59665.5 | − | 74818.1i | 0.00276697 | − | 0.00346967i | ||||
\(859\) | −1.79174e7 | −0.828501 | −0.414251 | − | 0.910163i | \(-0.635956\pi\) | ||||
−0.414251 | + | 0.910163i | \(0.635956\pi\) | |||||||
\(860\) | 331467. | − | 4.11300e7i | 0.0152825 | − | 1.89632i | ||||
\(861\) | −3.56126e6 | −0.163718 | ||||||||
\(862\) | −374588. | + | 469719.i | −0.0171706 | + | 0.0215313i | ||||
\(863\) | 1.22582e7 | + | 1.53713e7i | 0.560272 | + | 0.702559i | 0.978608 | − | 0.205733i | \(-0.0659579\pi\) |
−0.418336 | + | 0.908292i | \(0.637386\pi\) | |||||||
\(864\) | −860926. | − | 3.77196e6i | −0.0392357 | − | 0.171903i | ||||
\(865\) | −1.14253e7 | − | 5.50215e6i | −0.519192 | − | 0.250030i | ||||
\(866\) | 1.19481e6 | 0.0541383 | ||||||||
\(867\) | 1.86006e7 | 0.840386 | ||||||||
\(868\) | 9.84263e6 | + | 4.73996e6i | 0.443416 | + | 0.213538i | ||||
\(869\) | 12719.7 | − | 55728.7i | 0.000571384 | − | 0.00250340i | ||||
\(870\) | −867590. | + | 417809.i | −0.0388612 | + | 0.0187146i | ||||
\(871\) | 1.27176e6 | − | 5.57195e6i | 0.0568015 | − | 0.248864i | ||||
\(872\) | −1.84337e6 | + | 2.31152e6i | −0.0820960 | + | 0.102945i | ||||
\(873\) | 9.74624e6 | + | 4.69354e6i | 0.432814 | + | 0.208432i | ||||
\(874\) | −1.07550e6 | + | 1.34864e6i | −0.0476248 | + | 0.0597196i | ||||
\(875\) | 6.88164e6 | + | 3.01504e7i | 0.303859 | + | 1.33129i | ||||
\(876\) | 6.21577e6 | − | 2.99336e6i | 0.273675 | − | 0.131795i | ||||
\(877\) | 2.93002e7 | − | 1.41102e7i | 1.28638 | − | 0.619490i | 0.339362 | − | 0.940656i | \(-0.389789\pi\) |
0.947023 | + | 0.321166i | \(0.104075\pi\) | |||||||
\(878\) | 1.12533e6 | + | 1.41112e6i | 0.0492658 | + | 0.0617773i | ||||
\(879\) | −1.31247e6 | − | 5.75030e6i | −0.0572950 | − | 0.251026i | ||||
\(880\) | 1.66127e6 | − | 7.27850e6i | 0.0723159 | − | 0.316836i | ||||
\(881\) | −1.07891e7 | − | 1.35291e7i | −0.468323 | − | 0.587259i | 0.490436 | − | 0.871477i | \(-0.336837\pi\) |
−0.958760 | + | 0.284218i | \(0.908266\pi\) | |||||||
\(882\) | −624142. | − | 782650.i | −0.0270154 | − | 0.0338763i | ||||
\(883\) | −3.84144e6 | + | 1.68304e7i | −0.165803 | + | 0.726430i | 0.821841 | + | 0.569717i | \(0.192947\pi\) |
−0.987644 | + | 0.156713i | \(0.949910\pi\) | |||||||
\(884\) | 6.55049e6 | + | 2.86996e7i | 0.281931 | + | 1.23522i | ||||
\(885\) | −1.80162e7 | − | 2.25916e7i | −0.773223 | − | 0.969591i | ||||
\(886\) | 690001. | − | 332287.i | 0.0295301 | − | 0.0142210i | ||||
\(887\) | 7.38968e6 | − | 3.55868e6i | 0.315367 | − | 0.151873i | −0.269503 | − | 0.962999i | \(-0.586860\pi\) |
0.584871 | + | 0.811127i | \(0.301145\pi\) | |||||||
\(888\) | 45563.6 | + | 199627.i | 0.00193903 | + | 0.00849546i | ||||
\(889\) | −6.95644e6 | + | 8.72310e6i | −0.295211 | + | 0.370183i | ||||
\(890\) | 1.91515e6 | + | 922289.i | 0.0810454 | + | 0.0390294i | ||||
\(891\) | −928912. | + | 1.16482e6i | −0.0391995 | + | 0.0491546i | ||||
\(892\) | −1.15123e6 | + | 5.04387e6i | −0.0484452 | + | 0.212252i | ||||
\(893\) | 1.02465e7 | − | 4.93445e6i | 0.429978 | − | 0.207067i | ||||
\(894\) | −10056.5 | + | 44060.3i | −0.000420826 | + | 0.00184376i | ||||
\(895\) | 2.63224e7 | + | 1.26762e7i | 1.09842 | + | 0.528971i | ||||
\(896\) | −2.90734e6 | −0.120983 | ||||||||
\(897\) | −9.15128e6 | −0.379753 | ||||||||
\(898\) | 1.08773e6 | + | 523823.i | 0.0450122 | + | 0.0216767i | ||||
\(899\) | −4.11224e6 | − | 1.80169e7i | −0.169699 | − | 0.743500i | ||||
\(900\) | 3.05562e7 | + | 3.83163e7i | 1.25746 | + | 1.57680i | ||||
\(901\) | 3.99074e7 | − | 5.00423e7i | 1.63773 | − | 2.05364i | ||||
\(902\) | 229187. | 0.00937935 | ||||||||
\(903\) | −4.00784e6 | − | 3.24933e6i | −0.163565 | − | 0.132609i | ||||
\(904\) | −2.63153e6 | −0.107099 | ||||||||
\(905\) | −3.78591e6 | + | 4.74738e6i | −0.153656 | + | 0.192678i | ||||
\(906\) | −711706. | − | 892452.i | −0.0288058 | − | 0.0361214i | ||||
\(907\) | −1.60049e6 | − | 7.01222e6i | −0.0646005 | − | 0.283033i | 0.932302 | − | 0.361681i | \(-0.117797\pi\) |
−0.996902 | + | 0.0786476i | \(0.974940\pi\) | |||||||
\(908\) | −1.73953e6 | − | 837713.i | −0.0700192 | − | 0.0337195i | ||||
\(909\) | −1.33899e7 | −0.537486 | ||||||||
\(910\) | 1.11839e6 | 0.0447703 | ||||||||
\(911\) | −1.28132e7 | − | 6.17049e6i | −0.511517 | − | 0.246334i | 0.160276 | − | 0.987072i | \(-0.448761\pi\) |
−0.671793 | + | 0.740739i | \(0.734476\pi\) | |||||||
\(912\) | 2.80307e6 | − | 1.22811e7i | 0.111596 | − | 0.488933i | ||||
\(913\) | −1.88434e6 | + | 907448.i | −0.0748137 | + | 0.0360284i | ||||
\(914\) | −496406. | + | 2.17490e6i | −0.0196549 | + | 0.0861140i | ||||
\(915\) | −1.33316e7 | + | 1.67173e7i | −0.526415 | + | 0.660104i | ||||
\(916\) | −8.11359e6 | − | 3.90730e6i | −0.319503 | − | 0.153864i | ||||
\(917\) | 1.25488e7 | − | 1.57357e7i | 0.492808 | − | 0.617962i | ||||
\(918\) | −557678. | − | 2.44335e6i | −0.0218412 | − | 0.0956926i | ||||
\(919\) | −4.52361e7 | + | 2.17846e7i | −1.76684 | + | 0.850864i | −0.798197 | + | 0.602397i | \(0.794212\pi\) |
−0.968640 | + | 0.248467i | \(0.920073\pi\) | |||||||
\(920\) | 6.32806e6 | − | 3.04743e6i | 0.246491 | − | 0.118704i | ||||
\(921\) | −5.99801e6 | − | 7.52127e6i | −0.233001 | − | 0.292174i | ||||
\(922\) | −55098.4 | − | 241402.i | −0.00213458 | − | 0.00935219i | ||||
\(923\) | 3.32682e6 | − | 1.45757e7i | 0.128536 | − | 0.563153i | ||||
\(924\) | −586778. | − | 735797.i | −0.0226097 | − | 0.0283516i | ||||
\(925\) | −5.57992e6 | − | 6.99700e6i | −0.214424 | − | 0.268879i | ||||
\(926\) | −544727. | + | 2.38660e6i | −0.0208762 | + | 0.0914646i | ||||
\(927\) | 7.43080e6 | + | 3.25564e7i | 0.284012 | + | 1.24434i | ||||
\(928\) | 2.30171e6 | + | 2.88625e6i | 0.0877364 | + | 0.110018i | ||||
\(929\) | −1.64076e7 | + | 7.90151e6i | −0.623745 | + | 0.300380i | −0.718933 | − | 0.695080i | \(-0.755369\pi\) |
0.0951879 | + | 0.995459i | \(0.469655\pi\) | |||||||
\(930\) | −1.70411e6 | + | 820655.i | −0.0646085 | + | 0.0311138i | ||||
\(931\) | −5.04191e6 | − | 2.20901e7i | −0.190643 | − | 0.835262i | ||||
\(932\) | −2.31926e7 | + | 2.90826e7i | −0.874602 | + | 1.09672i | ||||
\(933\) | 359018. | + | 172894.i | 0.0135024 | + | 0.00650243i | ||||
\(934\) | −211822. | + | 265616.i | −0.00794518 | + | 0.00996293i | ||||
\(935\) | 3.25482e6 | − | 1.42603e7i | 0.121758 | − | 0.533457i | ||||
\(936\) | 1.98483e6 | − | 955845.i | 0.0740516 | − | 0.0356614i | ||||
\(937\) | −8.80048e6 | + | 3.85574e7i | −0.327459 | + | 1.43469i | 0.496496 | + | 0.868039i | \(0.334620\pi\) |
−0.823956 | + | 0.566654i | \(0.808238\pi\) | |||||||
\(938\) | 247271. | + | 119079.i | 0.00917627 | + | 0.00441906i | ||||
\(939\) | 7.05482e6 | 0.261109 | ||||||||
\(940\) | −2.30970e7 | −0.852581 | ||||||||
\(941\) | −3.76503e7 | − | 1.81314e7i | −1.38610 | − | 0.667510i | −0.415808 | − | 0.909452i | \(-0.636501\pi\) |
−0.970291 | + | 0.241942i | \(0.922216\pi\) | |||||||
\(942\) | −47404.1 | − | 207691.i | −0.00174056 | − | 0.00762588i | ||||
\(943\) | −1.36649e7 | − | 1.71353e7i | −0.500412 | − | 0.627497i | ||||
\(944\) | −2.28355e7 | + | 2.86348e7i | −0.834026 | + | 1.04584i | ||||
\(945\) | 1.94996e7 | 0.710307 | ||||||||
\(946\) | 257926. | + | 209112.i | 0.00937061 | + | 0.00759716i | ||||
\(947\) | 1.92141e7 | 0.696216 | 0.348108 | − | 0.937454i | \(-0.386824\pi\) | ||||
0.348108 | + | 0.937454i | \(0.386824\pi\) | |||||||
\(948\) | −122129. | + | 153145.i | −0.00441366 | + | 0.00553456i | ||||
\(949\) | 8.45103e6 | + | 1.05973e7i | 0.304610 | + | 0.381969i | ||||
\(950\) | −1.20528e6 | − | 5.28070e6i | −0.0433292 | − | 0.189838i | ||||
\(951\) | −1.92752e6 | − | 928243.i | −0.0691109 | − | 0.0332821i | ||||
\(952\) | −2.83414e6 | −0.101351 | ||||||||
\(953\) | −4.24458e7 | −1.51392 | −0.756958 | − | 0.653463i | \(-0.773315\pi\) | ||||
−0.756958 | + | 0.653463i | \(0.773315\pi\) | |||||||
\(954\) | −2.15256e6 | − | 1.03662e6i | −0.0765747 | − | 0.0368764i | ||||
\(955\) | 2.01206e7 | − | 8.81541e7i | 0.713892 | − | 3.12776i | ||||
\(956\) | 5.61465e6 | − | 2.70387e6i | 0.198691 | − | 0.0956845i | ||||
\(957\) | −354260. | + | 1.55211e6i | −0.0125038 | + | 0.0547827i | ||||
\(958\) | 2.25042e6 | − | 2.82194e6i | 0.0792229 | − | 0.0993423i | ||||
\(959\) | −8.99803e6 | − | 4.33322e6i | −0.315937 | − | 0.152147i | ||||
\(960\) | −1.57931e7 | + | 1.98039e7i | −0.553083 | + | 0.693544i | ||||
\(961\) | −1.70662e6 | − | 7.47720e6i | −0.0596113 | − | 0.261174i | ||||
\(962\) | −180785. | + | 87061.6i | −0.00629833 | + | 0.00303312i | ||||
\(963\) | −3.43870e7 | + | 1.65599e7i | −1.19489 | + | 0.575430i | ||||
\(964\) | −1.71359e7 | − | 2.14877e7i | −0.593900 | − | 0.744727i | ||||
\(965\) | 781342. | + | 3.42329e6i | 0.0270099 | + | 0.118338i | ||||
\(966\) | 97787.2 | − | 428434.i | 0.00337162 | − | 0.0147720i | ||||
\(967\) | −1.79170e7 | − | 2.24672e7i | −0.616168 | − | 0.772651i | 0.371631 | − | 0.928380i | \(-0.378799\pi\) |
−0.987800 | + | 0.155730i | \(0.950227\pi\) | |||||||
\(968\) | −2.45226e6 | − | 3.07504e6i | −0.0841161 | − | 0.105478i | ||||
\(969\) | 5.49188e6 | − | 2.40615e7i | 0.187894 | − | 0.823215i | ||||
\(970\) | 540302. | + | 2.36722e6i | 0.0184377 | + | 0.0807809i | ||||
\(971\) | −1.10904e7 | − | 1.39069e7i | −0.377483 | − | 0.473349i | 0.556407 | − | 0.830910i | \(-0.312180\pi\) |
−0.933890 | + | 0.357561i | \(0.883608\pi\) | |||||||
\(972\) | 2.70122e7 | − | 1.30084e7i | 0.917051 | − | 0.441629i | ||||
\(973\) | 8.45036e6 | − | 4.06948e6i | 0.286150 | − | 0.137802i | ||||
\(974\) | −669201. | − | 2.93196e6i | −0.0226027 | − | 0.0990287i | ||||
\(975\) | 1.79163e7 | − | 2.24663e7i | 0.603582 | − | 0.756868i | ||||
\(976\) | 2.44179e7 | + | 1.17590e7i | 0.820510 | + | 0.395137i | ||||
\(977\) | −1.72961e7 | + | 2.16886e7i | −0.579711 | + | 0.726934i | −0.982063 | − | 0.188551i | \(-0.939621\pi\) |
0.402353 | + | 0.915485i | \(0.368192\pi\) | |||||||
\(978\) | −261662. | + | 1.14641e6i | −0.00874768 | + | 0.0383261i | ||||
\(979\) | 3.16628e6 | − | 1.52480e6i | 0.105583 | − | 0.0508460i | ||||
\(980\) | −1.02396e7 | + | 4.48628e7i | −0.340581 | + | 1.49218i | ||||
\(981\) | −1.98015e7 | − | 9.53592e6i | −0.656941 | − | 0.316366i | ||||
\(982\) | 524301. | 0.0173501 | ||||||||
\(983\) | 5.42936e7 | 1.79211 | 0.896056 | − | 0.443942i | \(-0.146420\pi\) | ||||
0.896056 | + | 0.443942i | \(0.146420\pi\) | |||||||
\(984\) | −1.41864e6 | − | 683181.i | −0.0467073 | − | 0.0224930i | ||||
\(985\) | 1.32181e7 | + | 5.79122e7i | 0.434088 | + | 1.90187i | ||||
\(986\) | 1.49096e6 | + | 1.86961e6i | 0.0488399 | + | 0.0612434i | ||||
\(987\) | −1.80644e6 | + | 2.26521e6i | −0.0590243 | + | 0.0740141i | ||||
\(988\) | 2.48711e7 | 0.810593 | ||||||||
\(989\) | 255890. | − | 3.17520e7i | 0.00831882 | − | 1.03224i | ||||
\(990\) | −545982. | −0.0177048 | ||||||||
\(991\) | −1.21182e7 | + | 1.51958e7i | −0.391971 | + | 0.491517i | −0.938187 | − | 0.346128i | \(-0.887496\pi\) |
0.546216 | + | 0.837644i | \(0.316068\pi\) | |||||||
\(992\) | 4.52098e6 | + | 5.66913e6i | 0.145866 | + | 0.182910i | ||||
\(993\) | 5.64401e6 | + | 2.47280e7i | 0.181641 | + | 0.795822i | ||||
\(994\) | 646840. | + | 311502.i | 0.0207649 | + | 0.00999987i | ||||
\(995\) | 6.75633e7 | 2.16348 | ||||||||
\(996\) | 7.16692e6 | 0.228920 | ||||||||
\(997\) | 2.65853e7 | + | 1.28028e7i | 0.847040 | + | 0.407913i | 0.806478 | − | 0.591264i | \(-0.201371\pi\) |
0.0405617 | + | 0.999177i | \(0.487085\pi\) | |||||||
\(998\) | −543022. | + | 2.37913e6i | −0.0172580 | + | 0.0756123i | ||||
\(999\) | −3.15206e6 | + | 1.51795e6i | −0.0999266 | + | 0.0481221i |
(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 | 43.6.e.a.4.9 | ✓ | 108 | |
43.11 | even | 7 | inner | 43.6.e.a.11.9 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.9 | ✓ | 108 | 1.1 | even | 1 | trivial | |
43.6.e.a.11.9 | yes | 108 | 43.11 | even | 7 | inner |