Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 38.9 |
Dual form | 38.6.e.b.17.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.694593 | + | 3.93923i | 0.122788 | + | 0.696364i | ||||
\(3\) | −21.8341 | + | 18.3210i | −1.40066 | + | 1.17529i | −0.439852 | + | 0.898070i | \(0.644969\pi\) |
−0.960806 | + | 0.277221i | \(0.910587\pi\) | |||||||
\(4\) | −15.0351 | + | 5.47232i | −0.469846 | + | 0.171010i | ||||
\(5\) | 33.2104 | + | 12.0876i | 0.594086 | + | 0.216230i | 0.621526 | − | 0.783394i | \(-0.286513\pi\) |
−0.0274394 | + | 0.999623i | \(0.508735\pi\) | |||||||
\(6\) | −87.3364 | − | 73.2839i | −0.990415 | − | 0.831057i | ||||
\(7\) | −42.9494 | + | 74.3905i | −0.331292 | + | 0.573815i | −0.982766 | − | 0.184856i | \(-0.940818\pi\) |
0.651473 | + | 0.758672i | \(0.274151\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | 98.8729 | − | 560.736i | 0.406884 | − | 2.30755i | ||||
\(10\) | −24.5482 | + | 139.220i | −0.0776281 | + | 0.440251i | ||||
\(11\) | −299.827 | − | 519.315i | −0.747117 | − | 1.29404i | −0.949199 | − | 0.314676i | \(-0.898104\pi\) |
0.202083 | − | 0.979368i | \(-0.435229\pi\) | |||||||
\(12\) | 228.019 | − | 394.941i | 0.457107 | − | 0.791733i | ||||
\(13\) | 417.425 | + | 350.261i | 0.685046 | + | 0.574822i | 0.917476 | − | 0.397791i | \(-0.130223\pi\) |
−0.232430 | + | 0.972613i | \(0.574668\pi\) | |||||||
\(14\) | −322.874 | − | 117.516i | −0.440263 | − | 0.160243i | ||||
\(15\) | −946.577 | + | 344.526i | −1.08624 | + | 0.395361i | ||||
\(16\) | 196.107 | − | 164.554i | 0.191511 | − | 0.160697i | ||||
\(17\) | 252.825 | + | 1433.84i | 0.212177 | + | 1.20331i | 0.885739 | + | 0.464184i | \(0.153652\pi\) |
−0.673562 | + | 0.739131i | \(0.735237\pi\) | |||||||
\(18\) | 2277.54 | 1.65686 | ||||||||
\(19\) | −1570.74 | + | 94.1673i | −0.998208 | + | 0.0598434i | ||||
\(20\) | −565.469 | −0.316107 | ||||||||
\(21\) | −425.146 | − | 2411.12i | −0.210373 | − | 1.19308i | ||||
\(22\) | 1837.44 | − | 1541.80i | 0.809389 | − | 0.679158i | ||||
\(23\) | −3449.31 | + | 1255.45i | −1.35960 | + | 0.494855i | −0.915932 | − | 0.401334i | \(-0.868547\pi\) |
−0.443672 | + | 0.896189i | \(0.646324\pi\) | |||||||
\(24\) | 1714.14 | + | 623.897i | 0.607462 | + | 0.221098i | ||||
\(25\) | −1437.07 | − | 1205.84i | −0.459861 | − | 0.385869i | ||||
\(26\) | −1089.82 | + | 1887.62i | −0.316170 | + | 0.547623i | ||||
\(27\) | 4651.39 | + | 8056.45i | 1.22793 | + | 2.12684i | ||||
\(28\) | 238.658 | − | 1353.50i | 0.0575283 | − | 0.326259i | ||||
\(29\) | 17.7663 | − | 100.758i | 0.00392285 | − | 0.0222476i | −0.982783 | − | 0.184761i | \(-0.940849\pi\) |
0.986706 | + | 0.162513i | \(0.0519600\pi\) | |||||||
\(30\) | −2014.65 | − | 3489.48i | −0.408693 | − | 0.707876i | ||||
\(31\) | 440.821 | − | 763.524i | 0.0823869 | − | 0.142698i | −0.821888 | − | 0.569649i | \(-0.807079\pi\) |
0.904275 | + | 0.426951i | \(0.140412\pi\) | |||||||
\(32\) | 784.430 | + | 658.215i | 0.135419 | + | 0.113630i | ||||
\(33\) | 16060.8 | + | 5845.65i | 2.56733 | + | 0.934433i | ||||
\(34\) | −5472.63 | + | 1991.87i | −0.811893 | + | 0.295505i | ||||
\(35\) | −2325.57 | + | 1951.38i | −0.320892 | + | 0.269261i | ||||
\(36\) | 1581.97 | + | 8971.77i | 0.203442 | + | 1.15378i | ||||
\(37\) | −8650.33 | −1.03879 | −0.519396 | − | 0.854534i | \(-0.673843\pi\) | ||||
−0.519396 | + | 0.854534i | \(0.673843\pi\) | |||||||
\(38\) | −1461.97 | − | 6122.11i | −0.164241 | − | 0.687768i | ||||
\(39\) | −15531.2 | −1.63510 | ||||||||
\(40\) | −392.771 | − | 2227.51i | −0.0388140 | − | 0.220125i | ||||
\(41\) | 8167.44 | − | 6853.30i | 0.758799 | − | 0.636708i | −0.179015 | − | 0.983846i | \(-0.557291\pi\) |
0.937814 | + | 0.347139i | \(0.112847\pi\) | |||||||
\(42\) | 9202.67 | − | 3349.50i | 0.804990 | − | 0.292992i | ||||
\(43\) | 4719.08 | + | 1717.61i | 0.389212 | + | 0.141662i | 0.529211 | − | 0.848490i | \(-0.322488\pi\) |
−0.139999 | + | 0.990152i | \(0.544710\pi\) | |||||||
\(44\) | 7349.78 | + | 6167.19i | 0.572325 | + | 0.480237i | ||||
\(45\) | 10061.6 | − | 17427.1i | 0.740686 | − | 1.28291i | ||||
\(46\) | −7341.35 | − | 12715.6i | −0.511542 | − | 0.886017i | ||||
\(47\) | 1410.47 | − | 7999.19i | 0.0931366 | − | 0.528204i | −0.902166 | − | 0.431389i | \(-0.858024\pi\) |
0.995302 | − | 0.0968145i | \(-0.0308654\pi\) | |||||||
\(48\) | −1267.04 | + | 7185.76i | −0.0793758 | + | 0.450163i | ||||
\(49\) | 4714.21 | + | 8165.24i | 0.280491 | + | 0.485824i | ||||
\(50\) | 3751.91 | − | 6498.50i | 0.212240 | − | 0.367611i | ||||
\(51\) | −31789.6 | − | 26674.7i | −1.71143 | − | 1.43606i | ||||
\(52\) | −8192.76 | − | 2981.92i | −0.420167 | − | 0.152928i | ||||
\(53\) | −24330.5 | + | 8855.56i | −1.18976 | + | 0.433039i | −0.859641 | − | 0.510899i | \(-0.829312\pi\) |
−0.330123 | + | 0.943938i | \(0.607090\pi\) | |||||||
\(54\) | −28505.4 | + | 23918.9i | −1.33028 | + | 1.11624i | ||||
\(55\) | −3680.10 | − | 20870.9i | −0.164041 | − | 0.930323i | ||||
\(56\) | 5497.52 | 0.234259 | ||||||||
\(57\) | 32570.5 | − | 30833.6i | 1.32781 | − | 1.25701i | ||||
\(58\) | 409.248 | 0.0159741 | ||||||||
\(59\) | 6278.09 | + | 35604.8i | 0.234800 | + | 1.33161i | 0.843035 | + | 0.537858i | \(0.180766\pi\) |
−0.608236 | + | 0.793756i | \(0.708122\pi\) | |||||||
\(60\) | 12346.5 | − | 10359.9i | 0.442757 | − | 0.371518i | ||||
\(61\) | −36990.5 | + | 13463.4i | −1.27281 | + | 0.463267i | −0.888049 | − | 0.459748i | \(-0.847940\pi\) |
−0.384765 | + | 0.923015i | \(0.625718\pi\) | |||||||
\(62\) | 3313.89 | + | 1206.16i | 0.109486 | + | 0.0398497i | ||||
\(63\) | 37466.9 | + | 31438.4i | 1.18931 | + | 0.997952i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 9629.04 | + | 16678.0i | 0.282683 | + | 0.489621i | ||||
\(66\) | −11871.7 | + | 67327.6i | −0.335468 | + | 1.90254i | ||||
\(67\) | −2378.27 | + | 13487.8i | −0.0647253 | + | 0.367075i | 0.935191 | + | 0.354143i | \(0.115228\pi\) |
−0.999916 | + | 0.0129318i | \(0.995884\pi\) | |||||||
\(68\) | −11647.7 | − | 20174.4i | −0.305469 | − | 0.529089i | ||||
\(69\) | 52311.5 | − | 90606.2i | 1.32274 | − | 2.29105i | ||||
\(70\) | −9302.28 | − | 7805.54i | −0.226905 | − | 0.190396i | ||||
\(71\) | 70242.5 | + | 25566.2i | 1.65369 | + | 0.601894i | 0.989353 | − | 0.145539i | \(-0.0464916\pi\) |
0.664337 | + | 0.747433i | \(0.268714\pi\) | |||||||
\(72\) | −34243.1 | + | 12463.5i | −0.778469 | + | 0.283340i | ||||
\(73\) | −45239.4 | + | 37960.3i | −0.993595 | + | 0.833725i | −0.986084 | − | 0.166247i | \(-0.946835\pi\) |
−0.00751058 | + | 0.999972i | \(0.502391\pi\) | |||||||
\(74\) | −6008.46 | − | 34075.6i | −0.127551 | − | 0.723377i | ||||
\(75\) | 53469.2 | 1.09762 | ||||||||
\(76\) | 23100.9 | − | 10011.4i | 0.458770 | − | 0.198821i | ||||
\(77\) | 51509.4 | 0.990056 | ||||||||
\(78\) | −10787.9 | − | 61181.1i | −0.200770 | − | 1.13862i | ||||
\(79\) | 4603.46 | − | 3862.77i | 0.0829883 | − | 0.0696355i | −0.600350 | − | 0.799738i | \(-0.704972\pi\) |
0.683338 | + | 0.730102i | \(0.260528\pi\) | |||||||
\(80\) | 8501.87 | − | 3094.43i | 0.148522 | − | 0.0540574i | ||||
\(81\) | −119144. | − | 43365.0i | −2.01772 | − | 0.734390i | ||||
\(82\) | 32669.8 | + | 27413.2i | 0.536552 | + | 0.450220i | ||||
\(83\) | −36582.4 | + | 63362.6i | −0.582877 | + | 1.00957i | 0.412259 | + | 0.911067i | \(0.364740\pi\) |
−0.995136 | + | 0.0985065i | \(0.968593\pi\) | |||||||
\(84\) | 19586.5 | + | 33924.9i | 0.302872 | + | 0.524590i | ||||
\(85\) | −8935.30 | + | 50674.6i | −0.134141 | + | 0.760752i | ||||
\(86\) | −3488.20 | + | 19782.6i | −0.0508576 | + | 0.288428i | ||||
\(87\) | 1458.07 | + | 2525.45i | 0.0206529 | + | 0.0357718i | ||||
\(88\) | −19188.9 | + | 33236.2i | −0.264146 | + | 0.457514i | ||||
\(89\) | 11723.9 | + | 9837.52i | 0.156891 | + | 0.131647i | 0.717854 | − | 0.696194i | \(-0.245125\pi\) |
−0.560963 | + | 0.827841i | \(0.689569\pi\) | |||||||
\(90\) | 75638.2 | + | 27530.1i | 0.984317 | + | 0.358262i | ||||
\(91\) | −43984.2 | + | 16008.9i | −0.556793 | + | 0.202656i | ||||
\(92\) | 44990.4 | − | 37751.5i | 0.554180 | − | 0.465012i | ||||
\(93\) | 4363.59 | + | 24747.1i | 0.0523162 | + | 0.296700i | ||||
\(94\) | 32490.4 | 0.379258 | ||||||||
\(95\) | −53303.3 | − | 15859.2i | −0.605961 | − | 0.180290i | ||||
\(96\) | −29186.4 | −0.323224 | ||||||||
\(97\) | −18606.8 | − | 105524.i | −0.200790 | − | 1.13874i | −0.903929 | − | 0.427683i | \(-0.859330\pi\) |
0.703139 | − | 0.711052i | \(-0.251781\pi\) | |||||||
\(98\) | −28890.3 | + | 24241.9i | −0.303870 | + | 0.254977i | ||||
\(99\) | −320843. | + | 116777.i | −3.29007 | + | 1.19749i | ||||
\(100\) | 28205.2 | + | 10265.8i | 0.282052 | + | 0.102658i | ||||
\(101\) | 59492.5 | + | 49920.1i | 0.580308 | + | 0.486937i | 0.885048 | − | 0.465499i | \(-0.154125\pi\) |
−0.304740 | + | 0.952436i | \(0.598570\pi\) | |||||||
\(102\) | 82996.8 | − | 143755.i | 0.789880 | − | 1.36811i | ||||
\(103\) | −3118.91 | − | 5402.12i | −0.0289675 | − | 0.0501731i | 0.851178 | − | 0.524877i | \(-0.175889\pi\) |
−0.880146 | + | 0.474704i | \(0.842555\pi\) | |||||||
\(104\) | 6055.84 | − | 34344.4i | 0.0549024 | − | 0.311367i | ||||
\(105\) | 15025.4 | − | 85213.4i | 0.133001 | − | 0.754284i | ||||
\(106\) | −51783.9 | − | 89692.3i | −0.447641 | − | 0.775337i | ||||
\(107\) | 74093.3 | − | 128333.i | 0.625633 | − | 1.08363i | −0.362786 | − | 0.931873i | \(-0.618174\pi\) |
0.988418 | − | 0.151755i | \(-0.0484924\pi\) | |||||||
\(108\) | −114022. | − | 95675.4i | −0.940649 | − | 0.789298i | ||||
\(109\) | −12683.3 | − | 4616.34i | −0.102251 | − | 0.0372162i | 0.290388 | − | 0.956909i | \(-0.406216\pi\) |
−0.392639 | + | 0.919693i | \(0.628438\pi\) | |||||||
\(110\) | 79659.0 | − | 28993.5i | 0.627701 | − | 0.228465i | ||||
\(111\) | 188872. | − | 158483.i | 1.45499 | − | 1.22088i | ||||
\(112\) | 3818.54 | + | 21656.0i | 0.0287642 | + | 0.163130i | ||||
\(113\) | 113460. | 0.835882 | 0.417941 | − | 0.908474i | \(-0.362752\pi\) | ||||
0.417941 | + | 0.908474i | \(0.362752\pi\) | |||||||
\(114\) | 144084. | + | 106886.i | 1.03837 | + | 0.770297i | ||||
\(115\) | −129728. | −0.914724 | ||||||||
\(116\) | 284.261 | + | 1612.12i | 0.00196143 | + | 0.0111238i | ||||
\(117\) | 237676. | − | 199434.i | 1.60517 | − | 1.34690i | ||||
\(118\) | −135895. | + | 49461.7i | −0.898458 | + | 0.327012i | ||||
\(119\) | −117523. | − | 42774.8i | −0.760773 | − | 0.276899i | ||||
\(120\) | 49386.0 | + | 41439.8i | 0.313077 | + | 0.262703i | ||||
\(121\) | −99266.4 | + | 171935.i | −0.616367 | + | 1.06758i | ||||
\(122\) | −78728.8 | − | 136362.i | −0.478888 | − | 0.829459i | ||||
\(123\) | −52769.6 | + | 299271.i | −0.314500 | + | 1.78362i | ||||
\(124\) | −2449.53 | + | 13892.0i | −0.0143063 | + | 0.0811352i | ||||
\(125\) | −88371.4 | − | 153064.i | −0.505868 | − | 0.876188i | ||||
\(126\) | −97819.1 | + | 169428.i | −0.548905 | + | 0.950731i | ||||
\(127\) | 209692. | + | 175953.i | 1.15365 | + | 0.968026i | 0.999799 | − | 0.0200687i | \(-0.00638850\pi\) |
0.153849 | + | 0.988094i | \(0.450833\pi\) | |||||||
\(128\) | −15395.9 | − | 5603.66i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −134505. | + | 48955.9i | −0.711647 | + | 0.259018i | ||||
\(130\) | −59010.2 | + | 49515.4i | −0.306245 | + | 0.256970i | ||||
\(131\) | 47083.0 | + | 267021.i | 0.239710 | + | 1.35946i | 0.832464 | + | 0.554079i | \(0.186929\pi\) |
−0.592755 | + | 0.805383i | \(0.701960\pi\) | |||||||
\(132\) | −273465. | −1.36605 | ||||||||
\(133\) | 60457.2 | − | 120893.i | 0.296360 | − | 0.592613i | ||||
\(134\) | −54783.6 | −0.263565 | ||||||||
\(135\) | 57091.6 | + | 323782.i | 0.269611 | + | 1.52904i | ||||
\(136\) | 71381.2 | − | 59896.0i | 0.330931 | − | 0.277684i | ||||
\(137\) | 347741. | − | 126567.i | 1.58290 | − | 0.576130i | 0.607071 | − | 0.794648i | \(-0.292344\pi\) |
0.975833 | + | 0.218518i | \(0.0701222\pi\) | |||||||
\(138\) | 393254. | + | 143133.i | 1.75782 | + | 0.639796i | ||||
\(139\) | −210050. | − | 176253.i | −0.922115 | − | 0.773746i | 0.0522701 | − | 0.998633i | \(-0.483354\pi\) |
−0.974385 | + | 0.224887i | \(0.927799\pi\) | |||||||
\(140\) | 24286.5 | − | 42065.5i | 0.104724 | − | 0.181387i | ||||
\(141\) | 115757. | + | 200496.i | 0.490341 | + | 0.849296i | ||||
\(142\) | −51921.2 | + | 294459.i | −0.216084 | + | 1.22548i | ||||
\(143\) | 56740.7 | − | 321793.i | 0.232036 | − | 1.31594i | ||||
\(144\) | −72881.4 | − | 126234.i | −0.292894 | − | 0.507307i | ||||
\(145\) | 1807.95 | − | 3131.46i | 0.00714111 | − | 0.0123688i | ||||
\(146\) | −180957. | − | 151841.i | −0.702578 | − | 0.589533i | ||||
\(147\) | −252526. | − | 91911.8i | −0.963856 | − | 0.350815i | ||||
\(148\) | 130058. | − | 47337.4i | 0.488072 | − | 0.177644i | ||||
\(149\) | −239526. | + | 200986.i | −0.883865 | + | 0.741651i | −0.966970 | − | 0.254890i | \(-0.917961\pi\) |
0.0831047 | + | 0.996541i | \(0.473516\pi\) | |||||||
\(150\) | 37139.3 | + | 210628.i | 0.134774 | + | 0.764341i | ||||
\(151\) | −444816. | −1.58759 | −0.793794 | − | 0.608187i | \(-0.791897\pi\) | ||||
−0.793794 | + | 0.608187i | \(0.791897\pi\) | |||||||
\(152\) | 55483.0 | + | 84046.0i | 0.194783 | + | 0.295059i | ||||
\(153\) | 829005. | 2.86305 | ||||||||
\(154\) | 35778.1 | + | 202908.i | 0.121567 | + | 0.689440i | ||||
\(155\) | 23869.0 | − | 20028.5i | 0.0798005 | − | 0.0669606i | ||||
\(156\) | 233513. | − | 84991.9i | 0.768245 | − | 0.279618i | ||||
\(157\) | −499309. | − | 181734.i | −1.61667 | − | 0.588418i | −0.633923 | − | 0.773396i | \(-0.718556\pi\) |
−0.982743 | + | 0.184978i | \(0.940779\pi\) | |||||||
\(158\) | 18413.9 | + | 15451.1i | 0.0586816 | + | 0.0492397i | ||||
\(159\) | 368991. | − | 639111.i | 1.15751 | − | 2.00486i | ||||
\(160\) | 18095.0 | + | 31341.5i | 0.0558803 | + | 0.0967875i | ||||
\(161\) | 54752.4 | − | 310516.i | 0.166471 | − | 0.944103i | ||||
\(162\) | 88067.9 | − | 499458.i | 0.263651 | − | 1.49524i | ||||
\(163\) | 67437.4 | + | 116805.i | 0.198807 | + | 0.344344i | 0.948142 | − | 0.317847i | \(-0.102960\pi\) |
−0.749335 | + | 0.662191i | \(0.769627\pi\) | |||||||
\(164\) | −85294.7 | + | 147735.i | −0.247635 | + | 0.428917i | ||||
\(165\) | 462726. | + | 388273.i | 1.32317 | + | 1.11027i | ||||
\(166\) | −275010. | − | 100095.i | −0.774601 | − | 0.281932i | ||||
\(167\) | −83232.3 | + | 30294.1i | −0.230941 | + | 0.0840556i | −0.454899 | − | 0.890543i | \(-0.650324\pi\) |
0.223958 | + | 0.974599i | \(0.428102\pi\) | |||||||
\(168\) | −120033. | + | 100720.i | −0.328117 | + | 0.275323i | ||||
\(169\) | −12913.6 | − | 73236.8i | −0.0347801 | − | 0.197248i | ||||
\(170\) | −205825. | −0.546231 | ||||||||
\(171\) | −102501. | + | 890082.i | −0.268063 | + | 2.32777i | ||||
\(172\) | −80351.1 | −0.207095 | ||||||||
\(173\) | 76931.2 | + | 436299.i | 0.195428 | + | 1.10833i | 0.911808 | + | 0.410618i | \(0.134687\pi\) |
−0.716379 | + | 0.697711i | \(0.754202\pi\) | |||||||
\(174\) | −8935.57 | + | 7497.83i | −0.0223743 | + | 0.0187742i | ||||
\(175\) | 151424. | − | 55113.9i | 0.373766 | − | 0.136040i | ||||
\(176\) | −144253. | − | 52503.9i | −0.351030 | − | 0.127764i | ||||
\(177\) | −789391. | − | 662378.i | −1.89391 | − | 1.58918i | ||||
\(178\) | −30608.9 | + | 53016.2i | −0.0724099 | + | 0.125418i | ||||
\(179\) | 95112.3 | + | 164739.i | 0.221873 | + | 0.384295i | 0.955377 | − | 0.295390i | \(-0.0954497\pi\) |
−0.733504 | + | 0.679685i | \(0.762116\pi\) | |||||||
\(180\) | −55909.5 | + | 317079.i | −0.128619 | + | 0.729434i | ||||
\(181\) | −17063.9 | + | 96774.3i | −0.0387153 | + | 0.219565i | −0.998027 | − | 0.0627832i | \(-0.980002\pi\) |
0.959312 | + | 0.282349i | \(0.0911135\pi\) | |||||||
\(182\) | −93614.1 | − | 162144.i | −0.209490 | − | 0.362847i | ||||
\(183\) | 560990. | − | 971663.i | 1.23830 | − | 2.14481i | ||||
\(184\) | 179962. | + | 151006.i | 0.391864 | + | 0.328813i | ||||
\(185\) | −287281. | − | 104562.i | −0.617132 | − | 0.224618i | ||||
\(186\) | −94453.8 | + | 34378.4i | −0.200187 | + | 0.0728623i | ||||
\(187\) | 668812. | − | 561200.i | 1.39862 | − | 1.17358i | ||||
\(188\) | 22567.6 | + | 127987.i | 0.0465683 | + | 0.264102i | ||||
\(189\) | −799097. | −1.62722 | ||||||||
\(190\) | 25448.9 | − | 220990.i | 0.0511429 | − | 0.444107i | ||||
\(191\) | 160536. | 0.318411 | 0.159206 | − | 0.987245i | \(-0.449107\pi\) | ||||
0.159206 | + | 0.987245i | \(0.449107\pi\) | |||||||
\(192\) | −20272.7 | − | 114972.i | −0.0396879 | − | 0.225081i | ||||
\(193\) | −97771.2 | + | 82039.8i | −0.188937 | + | 0.158537i | −0.732350 | − | 0.680929i | \(-0.761576\pi\) |
0.543413 | + | 0.839466i | \(0.317132\pi\) | |||||||
\(194\) | 402760. | − | 146593.i | 0.768320 | − | 0.279646i | ||||
\(195\) | −515799. | − | 187735.i | −0.971390 | − | 0.353557i | ||||
\(196\) | −115561. | − | 96967.5i | −0.214868 | − | 0.180296i | ||||
\(197\) | −208034. | + | 360325.i | −0.381916 | + | 0.661498i | −0.991336 | − | 0.131350i | \(-0.958069\pi\) |
0.609420 | + | 0.792847i | \(0.291402\pi\) | |||||||
\(198\) | −682868. | − | 1.18276e6i | −1.23787 | − | 2.14405i | ||||
\(199\) | 93650.6 | − | 531119.i | 0.167640 | − | 0.950734i | −0.778661 | − | 0.627445i | \(-0.784101\pi\) |
0.946301 | − | 0.323288i | \(-0.104788\pi\) | |||||||
\(200\) | −20848.4 | + | 118237.i | −0.0368551 | + | 0.209016i | ||||
\(201\) | −195183. | − | 338067.i | −0.340762 | − | 0.590218i | ||||
\(202\) | −155324. | + | 269029.i | −0.267830 | + | 0.463896i | ||||
\(203\) | 6732.36 | + | 5649.12i | 0.0114664 | + | 0.00962146i | ||||
\(204\) | 623932. | + | 227093.i | 1.04969 | + | 0.382057i | ||||
\(205\) | 354084. | − | 128876.i | 0.588467 | − | 0.214184i | ||||
\(206\) | 19113.8 | − | 16038.4i | 0.0313819 | − | 0.0263325i | ||||
\(207\) | 362930. | + | 2.05828e6i | 0.588705 | + | 3.33871i | ||||
\(208\) | 139497. | 0.223566 | ||||||||
\(209\) | 519853. | + | 787476.i | 0.823218 | + | 1.24701i | ||||
\(210\) | 346112. | 0.541587 | ||||||||
\(211\) | −51782.0 | − | 293670.i | −0.0800705 | − | 0.454103i | −0.998312 | − | 0.0580813i | \(-0.981502\pi\) |
0.918241 | − | 0.396021i | \(-0.129609\pi\) | |||||||
\(212\) | 317350. | − | 266288.i | 0.484952 | − | 0.406923i | ||||
\(213\) | −2.00208e6 | + | 728697.i | −3.02365 | + | 1.10052i | ||||
\(214\) | 556999. | + | 202731.i | 0.831419 | + | 0.302612i | ||||
\(215\) | 135961. | + | 114085.i | 0.200594 | + | 0.168318i | ||||
\(216\) | 297689. | − | 515613.i | 0.434139 | − | 0.751950i | ||||
\(217\) | 37865.9 | + | 65585.7i | 0.0545883 | + | 0.0945497i | ||||
\(218\) | 9375.11 | − | 53168.9i | 0.0133609 | − | 0.0757733i | ||||
\(219\) | 292290. | − | 1.65766e6i | 0.411816 | − | 2.33553i | ||||
\(220\) | 169543. | + | 293656.i | 0.236169 | + | 0.409056i | ||||
\(221\) | −396684. | + | 687077.i | −0.546341 | + | 0.946291i | ||||
\(222\) | 755489. | + | 633930.i | 1.02883 | + | 0.863294i | ||||
\(223\) | 490101. | + | 178382.i | 0.659968 | + | 0.240209i | 0.650223 | − | 0.759744i | \(-0.274676\pi\) |
0.00974564 | + | 0.999953i | \(0.496898\pi\) | |||||||
\(224\) | −82655.6 | + | 30084.2i | −0.110066 | + | 0.0400607i | ||||
\(225\) | −818246. | + | 686590.i | −1.07753 | + | 0.904151i | ||||
\(226\) | 78808.2 | + | 446944.i | 0.102636 | + | 0.582079i | ||||
\(227\) | 15711.0 | 0.0202367 | 0.0101184 | − | 0.999949i | \(-0.496779\pi\) | ||||
0.0101184 | + | 0.999949i | \(0.496779\pi\) | |||||||
\(228\) | −320969. | + | 641822.i | −0.408908 | + | 0.817669i | ||||
\(229\) | 1.14920e6 | 1.44813 | 0.724065 | − | 0.689732i | \(-0.242272\pi\) | ||||
0.724065 | + | 0.689732i | \(0.242272\pi\) | |||||||
\(230\) | −90108.4 | − | 511030.i | −0.112317 | − | 0.636981i | ||||
\(231\) | −1.12466e6 | + | 943703.i | −1.38673 | + | 1.16360i | ||||
\(232\) | −6153.08 | + | 2239.54i | −0.00750538 | + | 0.00273174i | ||||
\(233\) | 263660. | + | 95964.3i | 0.318166 | + | 0.115803i | 0.496166 | − | 0.868227i | \(-0.334741\pi\) |
−0.178000 | + | 0.984030i | \(0.556963\pi\) | |||||||
\(234\) | 950704. | + | 797735.i | 1.13503 | + | 0.952399i | ||||
\(235\) | 143534. | − | 248607.i | 0.169545 | − | 0.293660i | ||||
\(236\) | −289232. | − | 500965.i | −0.338039 | − | 0.585501i | ||||
\(237\) | −29742.8 | + | 168680.i | −0.0343963 | + | 0.195071i | ||||
\(238\) | 86869.4 | − | 492661.i | 0.0994087 | − | 0.563775i | ||||
\(239\) | −129647. | − | 224555.i | −0.146814 | − | 0.254289i | 0.783234 | − | 0.621727i | \(-0.213568\pi\) |
−0.930048 | + | 0.367438i | \(0.880235\pi\) | |||||||
\(240\) | −128938. | + | 223327.i | −0.144495 | + | 0.250272i | ||||
\(241\) | 617600. | + | 518228.i | 0.684960 | + | 0.574749i | 0.917451 | − | 0.397849i | \(-0.130243\pi\) |
−0.232491 | + | 0.972598i | \(0.574688\pi\) | |||||||
\(242\) | −746240. | − | 271609.i | −0.819106 | − | 0.298130i | ||||
\(243\) | 1.27165e6 | − | 462843.i | 1.38150 | − | 0.502826i | ||||
\(244\) | 482478. | − | 404847.i | 0.518804 | − | 0.435328i | ||||
\(245\) | 57862.5 | + | 328155.i | 0.0615860 | + | 0.349272i | ||||
\(246\) | −1.21555e6 | −1.28067 | ||||||||
\(247\) | −688650. | − | 510862.i | −0.718218 | − | 0.532797i | ||||
\(248\) | −56425.1 | −0.0582563 | ||||||||
\(249\) | −362121. | − | 2.05369e6i | −0.370131 | − | 2.09912i | ||||
\(250\) | 541571. | − | 454432.i | 0.548032 | − | 0.459853i | ||||
\(251\) | 898704. | − | 327102.i | 0.900394 | − | 0.327716i | 0.149983 | − | 0.988689i | \(-0.452078\pi\) |
0.750410 | + | 0.660972i | \(0.229856\pi\) | |||||||
\(252\) | −735359. | − | 267649.i | −0.729454 | − | 0.265500i | ||||
\(253\) | 1.68617e6 | + | 1.41486e6i | 1.65615 | + | 1.38967i | ||||
\(254\) | −547468. | + | 948242.i | −0.532445 | + | 0.922221i | ||||
\(255\) | −733314. | − | 1.27014e6i | −0.706219 | − | 1.22321i | ||||
\(256\) | 11380.2 | − | 64540.4i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −106133. | + | 601912.i | −0.100235 | + | 0.568461i | 0.892782 | + | 0.450489i | \(0.148750\pi\) |
−0.993017 | + | 0.117972i | \(0.962361\pi\) | |||||||
\(258\) | −286275. | − | 495842.i | −0.267753 | − | 0.463761i | ||||
\(259\) | 371526. | − | 643502.i | 0.344144 | − | 0.596074i | ||||
\(260\) | −236041. | − | 198062.i | −0.216548 | − | 0.181705i | ||||
\(261\) | −54741.9 | − | 19924.4i | −0.0497414 | − | 0.0181044i | ||||
\(262\) | −1.01915e6 | + | 370942.i | −0.917247 | + | 0.333851i | ||||
\(263\) | −518414. | + | 435001.i | −0.462154 | + | 0.387794i | −0.843923 | − | 0.536464i | \(-0.819760\pi\) |
0.381769 | + | 0.924258i | \(0.375315\pi\) | |||||||
\(264\) | −189947. | − | 1.07724e6i | −0.167734 | − | 0.951268i | ||||
\(265\) | −915068. | −0.800458 | ||||||||
\(266\) | 518217. | + | 154184.i | 0.449064 | + | 0.133609i | ||||
\(267\) | −436214. | −0.374474 | ||||||||
\(268\) | −38052.3 | − | 215805.i | −0.0323626 | − | 0.183538i | ||||
\(269\) | 327680. | − | 274956.i | 0.276102 | − | 0.231677i | −0.494213 | − | 0.869341i | \(-0.664544\pi\) |
0.770314 | + | 0.637664i | \(0.220099\pi\) | |||||||
\(270\) | −1.23580e6 | + | 449794.i | −1.03166 | + | 0.375495i | ||||
\(271\) | −338611. | − | 123244.i | −0.280077 | − | 0.101940i | 0.198162 | − | 0.980169i | \(-0.436503\pi\) |
−0.478240 | + | 0.878229i | \(0.658725\pi\) | |||||||
\(272\) | 285525. | + | 239584.i | 0.234003 | + | 0.196352i | ||||
\(273\) | 667056. | − | 1.15537e6i | 0.541696 | − | 0.938245i | ||||
\(274\) | 740117. | + | 1.28192e6i | 0.595558 | + | 1.03154i | ||||
\(275\) | −195341. | + | 1.10783e6i | −0.155762 | + | 0.883370i | ||||
\(276\) | −290682. | + | 1.64854e6i | −0.229691 | + | 1.30265i | ||||
\(277\) | −902120. | − | 1.56252e6i | −0.706423 | − | 1.22356i | −0.966175 | − | 0.257886i | \(-0.916974\pi\) |
0.259752 | − | 0.965675i | \(-0.416359\pi\) | |||||||
\(278\) | 548401. | − | 949858.i | 0.425585 | − | 0.737134i | ||||
\(279\) | −384550. | − | 322676.i | −0.295762 | − | 0.248174i | ||||
\(280\) | 182575. | + | 66451.8i | 0.139170 | + | 0.0506538i | ||||
\(281\) | −755867. | + | 275113.i | −0.571057 | + | 0.207848i | −0.611378 | − | 0.791339i | \(-0.709384\pi\) |
0.0403203 | + | 0.999187i | \(0.487162\pi\) | |||||||
\(282\) | −709398. | + | 595256.i | −0.531211 | + | 0.445739i | ||||
\(283\) | −155095. | − | 879590.i | −0.115115 | − | 0.652851i | −0.986693 | − | 0.162594i | \(-0.948014\pi\) |
0.871578 | − | 0.490257i | \(-0.163097\pi\) | |||||||
\(284\) | −1.19601e6 | −0.879910 | ||||||||
\(285\) | 1.45439e6 | − | 630298.i | 1.06064 | − | 0.459657i | ||||
\(286\) | 1.30703e6 | 0.944864 | ||||||||
\(287\) | 159034. | + | 901925.i | 0.113968 | + | 0.646347i | ||||
\(288\) | 446643. | − | 374778.i | 0.317307 | − | 0.266252i | ||||
\(289\) | −657756. | + | 239404.i | −0.463255 | + | 0.168611i | ||||
\(290\) | 13591.3 | + | 4946.83i | 0.00949001 | + | 0.00345408i | ||||
\(291\) | 2.33957e6 | + | 1.96313e6i | 1.61958 | + | 1.35899i | ||||
\(292\) | 472446. | − | 818301.i | 0.324261 | − | 0.561637i | ||||
\(293\) | 731039. | + | 1.26620e6i | 0.497476 | + | 0.861653i | 0.999996 | − | 0.00291253i | \(-0.000927089\pi\) |
−0.502520 | + | 0.864565i | \(0.667594\pi\) | |||||||
\(294\) | 186659. | − | 1.05860e6i | 0.125945 | − | 0.714271i | ||||
\(295\) | −221879. | + | 1.25834e6i | −0.148443 | + | 0.841865i | ||||
\(296\) | 276811. | + | 479450.i | 0.183634 | + | 0.318064i | ||||
\(297\) | 2.78922e6 | − | 4.83107e6i | 1.83481 | − | 3.17799i | ||||
\(298\) | −958102. | − | 803943.i | −0.624987 | − | 0.524427i | ||||
\(299\) | −1.87956e6 | − | 684104.i | −1.21585 | − | 0.442532i | ||||
\(300\) | −803915. | + | 292601.i | −0.515711 | + | 0.187704i | ||||
\(301\) | −330455. | + | 277285.i | −0.210231 | + | 0.176404i | ||||
\(302\) | −308966. | − | 1.75223e6i | −0.194936 | − | 1.10554i | ||||
\(303\) | −2.21355e6 | −1.38511 | ||||||||
\(304\) | −292539. | + | 276938.i | −0.181551 | + | 0.171870i | ||||
\(305\) | −1.39121e6 | −0.856334 | ||||||||
\(306\) | 575821. | + | 3.26564e6i | 0.351547 | + | 1.99372i | ||||
\(307\) | 809728. | − | 679442.i | 0.490335 | − | 0.411440i | −0.363811 | − | 0.931473i | \(-0.618525\pi\) |
0.854146 | + | 0.520033i | \(0.174080\pi\) | |||||||
\(308\) | −774448. | + | 281876.i | −0.465174 | + | 0.169310i | ||||
\(309\) | 167071. | + | 60808.8i | 0.0995415 | + | 0.0362301i | ||||
\(310\) | 95476.2 | + | 80114.0i | 0.0564275 | + | 0.0473483i | ||||
\(311\) | 1.14038e6 | − | 1.97519e6i | 0.668572 | − | 1.15800i | −0.309731 | − | 0.950824i | \(-0.600239\pi\) |
0.978304 | − | 0.207177i | \(-0.0664276\pi\) | |||||||
\(312\) | 496999. | + | 860828.i | 0.289047 | + | 0.500645i | ||||
\(313\) | 22446.3 | − | 127299.i | 0.0129504 | − | 0.0734456i | −0.977648 | − | 0.210250i | \(-0.932572\pi\) |
0.990598 | + | 0.136805i | \(0.0436833\pi\) | |||||||
\(314\) | 369074. | − | 2.09312e6i | 0.211247 | − | 1.19804i | ||||
\(315\) | 864276. | + | 1.49697e6i | 0.490768 | + | 0.850034i | ||||
\(316\) | −48075.2 | + | 83268.6i | −0.0270834 | + | 0.0469098i | ||||
\(317\) | −424551. | − | 356241.i | −0.237291 | − | 0.199111i | 0.516386 | − | 0.856356i | \(-0.327277\pi\) |
−0.753677 | + | 0.657245i | \(0.771722\pi\) | |||||||
\(318\) | 2.77391e6 | + | 1.00962e6i | 1.53824 | + | 0.559873i | ||||
\(319\) | −57651.8 | + | 20983.5i | −0.0317202 | + | 0.0115452i | ||||
\(320\) | −110893. | + | 93050.0i | −0.0605379 | + | 0.0507974i | ||||
\(321\) | 733433. | + | 4.15950e6i | 0.397281 | + | 2.25309i | ||||
\(322\) | 1.26123e6 | 0.677880 | ||||||||
\(323\) | −532144. | − | 2.22839e6i | −0.283807 | − | 1.18846i | ||||
\(324\) | 2.02865e6 | 1.07361 | ||||||||
\(325\) | −177508. | − | 1.00670e6i | −0.0932200 | − | 0.528677i | ||||
\(326\) | −413280. | + | 346783.i | −0.215378 | + | 0.180723i | ||||
\(327\) | 361504. | − | 131577.i | 0.186958 | − | 0.0680471i | ||||
\(328\) | −641207. | − | 233380.i | −0.329089 | − | 0.119779i | ||||
\(329\) | 534485. | + | 448486.i | 0.272236 | + | 0.228433i | ||||
\(330\) | −1.20809e6 | + | 2.09248e6i | −0.610682 | + | 1.05773i | ||||
\(331\) | 746300. | + | 1.29263e6i | 0.374407 | + | 0.648491i | 0.990238 | − | 0.139387i | \(-0.0445131\pi\) |
−0.615831 | + | 0.787878i | \(0.711180\pi\) | |||||||
\(332\) | 203279. | − | 1.15285e6i | 0.101216 | − | 0.574022i | ||||
\(333\) | −855283. | + | 4.85055e6i | −0.422668 | + | 2.39707i | ||||
\(334\) | −177148. | − | 306829.i | −0.0868901 | − | 0.150498i | ||||
\(335\) | −242019. | + | 419189.i | −0.117825 | + | 0.204079i | ||||
\(336\) | −480133. | − | 402880.i | −0.232014 | − | 0.194683i | ||||
\(337\) | −86013.8 | − | 31306.5i | −0.0412566 | − | 0.0150162i | 0.321309 | − | 0.946974i | \(-0.395877\pi\) |
−0.362566 | + | 0.931958i | \(0.618099\pi\) | |||||||
\(338\) | 279527. | − | 101739.i | 0.133086 | − | 0.0484393i | ||||
\(339\) | −2.47729e6 | + | 2.07869e6i | −1.17079 | + | 0.982406i | ||||
\(340\) | −142965. | − | 810794.i | −0.0670705 | − | 0.380376i | ||||
\(341\) | −528679. | −0.246210 | ||||||||
\(342\) | −3.57744e6 | + | 214470.i | −1.65389 | + | 0.0991520i | ||||
\(343\) | −2.25359e6 | −1.03428 | ||||||||
\(344\) | −55811.3 | − | 316521.i | −0.0254288 | − | 0.144214i | ||||
\(345\) | 2.83250e6 | − | 2.37675e6i | 1.28122 | − | 1.07507i | ||||
\(346\) | −1.66524e6 | + | 606100.i | −0.747804 | + | 0.272178i | ||||
\(347\) | 499754. | + | 181895.i | 0.222809 | + | 0.0810958i | 0.451012 | − | 0.892518i | \(-0.351063\pi\) |
−0.228204 | + | 0.973613i | \(0.573285\pi\) | |||||||
\(348\) | −35742.3 | − | 29991.3i | −0.0158210 | − | 0.0132754i | ||||
\(349\) | −1.01888e6 | + | 1.76476e6i | −0.447777 | + | 0.775572i | −0.998241 | − | 0.0592869i | \(-0.981117\pi\) |
0.550464 | + | 0.834859i | \(0.314451\pi\) | |||||||
\(350\) | 322285. | + | 558213.i | 0.140627 | + | 0.243573i | ||||
\(351\) | −880253. | + | 4.99216e6i | −0.381364 | + | 2.16282i | ||||
\(352\) | 106628. | − | 604716.i | 0.0458684 | − | 0.260133i | ||||
\(353\) | 235828. | + | 408466.i | 0.100730 | + | 0.174469i | 0.911986 | − | 0.410222i | \(-0.134549\pi\) |
−0.811256 | + | 0.584692i | \(0.801216\pi\) | |||||||
\(354\) | 2.06095e6 | − | 3.56968e6i | 0.874098 | − | 1.51398i | ||||
\(355\) | 2.02375e6 | + | 1.69813e6i | 0.852287 | + | 0.715154i | ||||
\(356\) | −230104. | − | 83751.0i | −0.0962274 | − | 0.0350239i | ||||
\(357\) | 3.34968e6 | − | 1.21919e6i | 1.39102 | − | 0.506290i | ||||
\(358\) | −582882. | + | 489096.i | −0.240366 | + | 0.201691i | ||||
\(359\) | 54546.3 | + | 309348.i | 0.0223372 | + | 0.126681i | 0.993937 | − | 0.109948i | \(-0.0350685\pi\) |
−0.971600 | + | 0.236629i | \(0.923957\pi\) | |||||||
\(360\) | −1.28788e6 | −0.523744 | ||||||||
\(361\) | 2.45836e6 | − | 295825.i | 0.992838 | − | 0.119472i | ||||
\(362\) | −393069. | −0.157651 | ||||||||
\(363\) | −982616. | − | 5.57269e6i | −0.391397 | − | 2.21972i | ||||
\(364\) | 573700. | − | 481392.i | 0.226951 | − | 0.190434i | ||||
\(365\) | −1.96127e6 | + | 713843.i | −0.770557 | + | 0.280460i | ||||
\(366\) | 4.21727e6 | + | 1.53496e6i | 1.64561 | + | 0.598955i | ||||
\(367\) | −1.31313e6 | − | 1.10185e6i | −0.508911 | − | 0.427027i | 0.351834 | − | 0.936062i | \(-0.385558\pi\) |
−0.860746 | + | 0.509035i | \(0.830002\pi\) | |||||||
\(368\) | −469847. | + | 813798.i | −0.180858 | + | 0.313254i | ||||
\(369\) | −3.03535e6 | − | 5.25738e6i | −1.16049 | − | 2.01004i | ||||
\(370\) | 212350. | − | 1.20429e6i | 0.0806394 | − | 0.457329i | ||||
\(371\) | 386208. | − | 2.19029e6i | 0.145676 | − | 0.826167i | ||||
\(372\) | −201031. | − | 348196.i | −0.0753193 | − | 0.130457i | ||||
\(373\) | −1.28801e6 | + | 2.23090e6i | −0.479344 | + | 0.830247i | −0.999719 | − | 0.0236900i | \(-0.992459\pi\) |
0.520376 | + | 0.853937i | \(0.325792\pi\) | |||||||
\(374\) | 2.67525e6 | + | 2.24480e6i | 0.988975 | + | 0.829848i | ||||
\(375\) | 4.73379e6 | + | 1.72296e6i | 1.73832 | + | 0.632698i | ||||
\(376\) | −488495. | + | 177798.i | −0.178193 | + | 0.0648570i | ||||
\(377\) | 42707.6 | − | 35835.9i | 0.0154758 | − | 0.0129857i | ||||
\(378\) | −555047. | − | 3.14783e6i | −0.199802 | − | 1.13313i | ||||
\(379\) | 2.53694e6 | 0.907218 | 0.453609 | − | 0.891201i | \(-0.350136\pi\) | ||||
0.453609 | + | 0.891201i | \(0.350136\pi\) | |||||||
\(380\) | 888206. | − | 53248.7i | 0.315540 | − | 0.0189169i | ||||
\(381\) | −7.80207e6 | −2.75358 | ||||||||
\(382\) | 111507. | + | 632388.i | 0.0390970 | + | 0.221730i | ||||
\(383\) | −271462. | + | 227783.i | −0.0945609 | + | 0.0793460i | −0.688843 | − | 0.724911i | \(-0.741881\pi\) |
0.594282 | + | 0.804257i | \(0.297436\pi\) | |||||||
\(384\) | 438821. | − | 159718.i | 0.151865 | − | 0.0552745i | ||||
\(385\) | 1.71065e6 | + | 622626.i | 0.588179 | + | 0.214080i | ||||
\(386\) | −391085. | − | 328159.i | −0.133599 | − | 0.112103i | ||||
\(387\) | 1.42971e6 | − | 2.47633e6i | 0.485256 | − | 0.840488i | ||||
\(388\) | 857217. | + | 1.48474e6i | 0.289076 | + | 0.500694i | ||||
\(389\) | 399414. | − | 2.26519e6i | 0.133829 | − | 0.758980i | −0.841840 | − | 0.539728i | \(-0.818527\pi\) |
0.975668 | − | 0.219252i | \(-0.0703617\pi\) | |||||||
\(390\) | 381263. | − | 2.16225e6i | 0.126930 | − | 0.719854i | ||||
\(391\) | −2.67218e6 | − | 4.62836e6i | −0.883943 | − | 1.53103i | ||||
\(392\) | 301709. | − | 522576.i | 0.0991684 | − | 0.171765i | ||||
\(393\) | −5.92010e6 | − | 4.96755e6i | −1.93352 | − | 1.62241i | ||||
\(394\) | −1.56390e6 | − | 569213.i | −0.507538 | − | 0.184729i | ||||
\(395\) | 199575. | − | 72639.2i | 0.0643595 | − | 0.0234249i | ||||
\(396\) | 4.18486e6 | − | 3.51151e6i | 1.34104 | − | 1.12527i | ||||
\(397\) | 215206. | + | 1.22050e6i | 0.0685297 | + | 0.388651i | 0.999710 | + | 0.0240916i | \(0.00766934\pi\) |
−0.931180 | + | 0.364560i | \(0.881220\pi\) | |||||||
\(398\) | 2.15725e6 | 0.682641 | ||||||||
\(399\) | 894844. | + | 3.74722e6i | 0.281394 | + | 1.17836i | ||||
\(400\) | −480245. | −0.150077 | ||||||||
\(401\) | −412287. | − | 2.33819e6i | −0.128038 | − | 0.726139i | −0.979457 | − | 0.201653i | \(-0.935369\pi\) |
0.851419 | − | 0.524486i | \(-0.175742\pi\) | |||||||
\(402\) | 1.19615e6 | − | 1.00369e6i | 0.369165 | − | 0.309766i | ||||
\(403\) | 451443. | − | 164312.i | 0.138465 | − | 0.0503971i | ||||
\(404\) | −1.16765e6 | − | 424991.i | −0.355927 | − | 0.129547i | ||||
\(405\) | −3.43266e6 | − | 2.88034e6i | −1.03990 | − | 0.872582i | ||||
\(406\) | −17577.0 | + | 30444.2i | −0.00529211 | + | 0.00916620i | ||||
\(407\) | 2.59360e6 | + | 4.49224e6i | 0.776098 | + | 1.34424i | ||||
\(408\) | −461192. | + | 2.61555e6i | −0.137161 | + | 0.777880i | ||||
\(409\) | −386681. | + | 2.19298e6i | −0.114300 | + | 0.648225i | 0.872795 | + | 0.488087i | \(0.162305\pi\) |
−0.987095 | + | 0.160138i | \(0.948806\pi\) | |||||||
\(410\) | 753617. | + | 1.30530e6i | 0.221407 | + | 0.383488i | ||||
\(411\) | −5.27377e6 | + | 9.13444e6i | −1.53999 | + | 2.66733i | ||||
\(412\) | 76455.2 | + | 64153.6i | 0.0221904 | + | 0.0186199i | ||||
\(413\) | −2.91830e6 | − | 1.06217e6i | −0.841888 | − | 0.306422i | ||||
\(414\) | −7.85595e6 | + | 2.85933e6i | −2.25267 | + | 0.819906i | ||||
\(415\) | −1.98082e6 | + | 1.66211e6i | −0.564579 | + | 0.473738i | ||||
\(416\) | 96893.5 | + | 549510.i | 0.0274512 | + | 0.155683i | ||||
\(417\) | 7.81536e6 | 2.20094 | ||||||||
\(418\) | −2.74096e6 | + | 2.59480e6i | −0.767295 | + | 0.726377i | ||||
\(419\) | 3.64392e6 | 1.01399 | 0.506995 | − | 0.861949i | \(-0.330756\pi\) | ||||
0.506995 | + | 0.861949i | \(0.330756\pi\) | |||||||
\(420\) | 240407. | + | 1.36341e6i | 0.0665003 | + | 0.377142i | ||||
\(421\) | −2.28617e6 | + | 1.91833e6i | −0.628643 | + | 0.527494i | −0.900507 | − | 0.434842i | \(-0.856804\pi\) |
0.271864 | + | 0.962336i | \(0.412360\pi\) | |||||||
\(422\) | 1.12087e6 | − | 407963.i | 0.306389 | − | 0.111517i | ||||
\(423\) | −4.34598e6 | − | 1.58181e6i | −1.18096 | − | 0.429836i | ||||
\(424\) | 1.26940e6 | + | 1.06515e6i | 0.342913 | + | 0.287738i | ||||
\(425\) | 1.36566e6 | − | 2.36539e6i | 0.366750 | − | 0.635230i | ||||
\(426\) | −4.26114e6 | − | 7.38050e6i | −1.13763 | − | 1.97043i | ||||
\(427\) | 587166. | − | 3.32998e6i | 0.155844 | − | 0.883837i | ||||
\(428\) | −411717. | + | 2.33496e6i | −0.108640 | + | 0.616128i | ||||
\(429\) | 4.65667e6 | + | 8.06560e6i | 1.22161 | + | 2.11589i | ||||
\(430\) | −354969. | + | 614824.i | −0.0925804 | + | 0.160354i | ||||
\(431\) | 3.26496e6 | + | 2.73962e6i | 0.846612 | + | 0.710392i | 0.959041 | − | 0.283268i | \(-0.0914186\pi\) |
−0.112429 | + | 0.993660i | \(0.535863\pi\) | |||||||
\(432\) | 2.23789e6 | + | 814525.i | 0.576938 | + | 0.209988i | ||||
\(433\) | −191532. | + | 69711.9i | −0.0490932 | + | 0.0178685i | −0.366450 | − | 0.930438i | \(-0.619427\pi\) |
0.317357 | + | 0.948306i | \(0.397205\pi\) | |||||||
\(434\) | −232056. | + | 194718.i | −0.0591383 | + | 0.0496229i | ||||
\(435\) | 17896.5 | + | 101496.i | 0.00453465 | + | 0.0257173i | ||||
\(436\) | 215956. | 0.0544064 | ||||||||
\(437\) | 5.29975e6 | − | 2.29679e6i | 1.32755 | − | 0.575332i | ||||
\(438\) | 6.73292e6 | 1.67694 | ||||||||
\(439\) | 139488. | + | 791077.i | 0.0345443 | + | 0.195910i | 0.997196 | − | 0.0748318i | \(-0.0238420\pi\) |
−0.962652 | + | 0.270742i | \(0.912731\pi\) | |||||||
\(440\) | −1.03902e6 | + | 871839.i | −0.255853 | + | 0.214686i | ||||
\(441\) | 5.04465e6 | − | 1.83610e6i | 1.23519 | − | 0.449573i | ||||
\(442\) | −2.98209e6 | − | 1.08539e6i | −0.726047 | − | 0.264259i | ||||
\(443\) | −1.73336e6 | − | 1.45446e6i | −0.419643 | − | 0.352122i | 0.408384 | − | 0.912810i | \(-0.366092\pi\) |
−0.828027 | + | 0.560688i | \(0.810537\pi\) | |||||||
\(444\) | −1.97244e6 | + | 3.41637e6i | −0.474839 | + | 0.822445i | ||||
\(445\) | 270444. | + | 468422.i | 0.0647406 | + | 0.112134i | ||||
\(446\) | −362268. | + | 2.05452e6i | −0.0862368 | + | 0.489073i | ||||
\(447\) | 1.54757e6 | − | 8.77669e6i | 0.366337 | − | 2.07760i | ||||
\(448\) | −175921. | − | 304703.i | −0.0414116 | − | 0.0717269i | ||||
\(449\) | 388968. | − | 673712.i | 0.0910537 | − | 0.157710i | −0.816901 | − | 0.576778i | \(-0.804310\pi\) |
0.907955 | + | 0.419068i | \(0.137643\pi\) | |||||||
\(450\) | −3.27298e6 | − | 2.74636e6i | −0.761925 | − | 0.639331i | ||||
\(451\) | −6.00784e6 | − | 2.18667e6i | −1.39084 | − | 0.506224i | ||||
\(452\) | −1.70587e6 | + | 620888.i | −0.392736 | + | 0.142944i | ||||
\(453\) | 9.71214e6 | − | 8.14946e6i | 2.22367 | − | 1.86588i | ||||
\(454\) | 10912.8 | + | 61889.4i | 0.00248482 | + | 0.0140921i | ||||
\(455\) | −1.65424e6 | −0.374603 | ||||||||
\(456\) | −2.75123e6 | − | 818565.i | −0.619604 | − | 0.184349i | ||||
\(457\) | 6.92747e6 | 1.55162 | 0.775808 | − | 0.630969i | \(-0.217343\pi\) | ||||
0.775808 | + | 0.630969i | \(0.217343\pi\) | |||||||
\(458\) | 798227. | + | 4.52697e6i | 0.177813 | + | 1.00843i | ||||
\(459\) | −1.03757e7 | + | 8.70624e6i | −2.29872 | + | 1.92885i | ||||
\(460\) | 1.95048e6 | − | 709915.i | 0.429780 | − | 0.156427i | ||||
\(461\) | 3.67015e6 | + | 1.33583e6i | 0.804325 | + | 0.292750i | 0.711278 | − | 0.702911i | \(-0.248117\pi\) |
0.0930476 | + | 0.995662i | \(0.470339\pi\) | |||||||
\(462\) | −4.49865e6 | − | 3.77481e6i | −0.980566 | − | 0.822793i | ||||
\(463\) | −3.26866e6 | + | 5.66148e6i | −0.708626 | + | 1.22738i | 0.256741 | + | 0.966480i | \(0.417351\pi\) |
−0.965367 | + | 0.260896i | \(0.915982\pi\) | |||||||
\(464\) | −13095.9 | − | 22682.8i | −0.00282385 | − | 0.00489106i | ||||
\(465\) | −154217. | + | 874608.i | −0.0330750 | + | 0.187578i | ||||
\(466\) | −194889. | + | 1.10527e6i | −0.0415741 | + | 0.235779i | ||||
\(467\) | −1.37349e6 | − | 2.37895e6i | −0.291429 | − | 0.504769i | 0.682719 | − | 0.730681i | \(-0.260797\pi\) |
−0.974148 | + | 0.225912i | \(0.927464\pi\) | |||||||
\(468\) | −2.48211e6 | + | 4.29914e6i | −0.523850 | + | 0.907334i | ||||
\(469\) | −901221. | − | 756214.i | −0.189190 | − | 0.158750i | ||||
\(470\) | 1.07902e6 | + | 392731.i | 0.225312 | + | 0.0820069i | ||||
\(471\) | 1.42315e7 | − | 5.17984e6i | 2.95596 | − | 1.07588i | ||||
\(472\) | 1.77252e6 | − | 1.48732e6i | 0.366215 | − | 0.307291i | ||||
\(473\) | −522928. | − | 2.96567e6i | −0.107470 | − | 0.609495i | ||||
\(474\) | −685129. | −0.140064 | ||||||||
\(475\) | 2.37081e6 | + | 1.75874e6i | 0.482129 | + | 0.357658i | ||||
\(476\) | 2.00104e6 | 0.404799 | ||||||||
\(477\) | 2.56001e6 | + | 1.45185e7i | 0.515164 | + | 2.92164i | ||||
\(478\) | 794521. | − | 666682.i | 0.159051 | − | 0.133459i | ||||
\(479\) | 6.78968e6 | − | 2.47124e6i | 1.35210 | − | 0.492126i | 0.438501 | − | 0.898731i | \(-0.355510\pi\) |
0.913604 | + | 0.406605i | \(0.133287\pi\) | |||||||
\(480\) | −969295. | − | 352794.i | −0.192023 | − | 0.0698906i | ||||
\(481\) | −3.61086e6 | − | 3.02987e6i | −0.711620 | − | 0.597120i | ||||
\(482\) | −1.61244e6 | + | 2.79283e6i | −0.316130 | + | 0.547554i | ||||
\(483\) | 4.49349e6 | + | 7.78296e6i | 0.876428 | + | 1.51802i | ||||
\(484\) | 551598. | − | 3.12827e6i | 0.107031 | − | 0.607003i | ||||
\(485\) | 657597. | − | 3.72942e6i | 0.126942 | − | 0.719924i | ||||
\(486\) | 2.70652e6 | + | 4.68784e6i | 0.519782 | + | 0.900289i | ||||
\(487\) | 225859. | − | 391200.i | 0.0431535 | − | 0.0747440i | −0.843642 | − | 0.536906i | \(-0.819593\pi\) |
0.886795 | + | 0.462162i | \(0.152926\pi\) | |||||||
\(488\) | 1.92991e6 | + | 1.61939e6i | 0.366850 | + | 0.307824i | ||||
\(489\) | −3.61242e6 | − | 1.31481e6i | −0.683165 | − | 0.248652i | ||||
\(490\) | −1.25249e6 | + | 455868.i | −0.235658 | + | 0.0857726i | ||||
\(491\) | −6.39741e6 | + | 5.36806e6i | −1.19757 | + | 1.00488i | −0.197872 | + | 0.980228i | \(0.563403\pi\) |
−0.999696 | + | 0.0246513i | \(0.992152\pi\) | |||||||
\(492\) | −844313. | − | 4.78834e6i | −0.157250 | − | 0.891810i | ||||
\(493\) | 148963. | 0.0276032 | ||||||||
\(494\) | 1.53407e6 | − | 3.06759e6i | 0.282832 | − | 0.565562i | ||||
\(495\) | −1.20669e7 | −2.21352 | ||||||||
\(496\) | −39192.5 | − | 222271.i | −0.00715316 | − | 0.0405676i | ||||
\(497\) | −4.91875e6 | + | 4.12732e6i | −0.893231 | + | 0.749510i | ||||
\(498\) | 7.83844e6 | − | 2.85296e6i | 1.41630 | − | 0.515492i | ||||
\(499\) | −8.01413e6 | − | 2.91691e6i | −1.44080 | − | 0.524410i | −0.500798 | − | 0.865564i | \(-0.666960\pi\) |
−0.940007 | + | 0.341154i | \(0.889182\pi\) | |||||||
\(500\) | 2.16629e6 | + | 1.81773e6i | 0.387517 | + | 0.325165i | ||||
\(501\) | 1.26229e6 | − | 2.18634e6i | 0.224679 | − | 0.389156i | ||||
\(502\) | 1.91276e6 | + | 3.31300e6i | 0.338767 | + | 0.586762i | ||||
\(503\) | −132176. | + | 749607.i | −0.0232934 | + | 0.132103i | −0.994237 | − | 0.107205i | \(-0.965810\pi\) |
0.970944 | + | 0.239309i | \(0.0769208\pi\) | |||||||
\(504\) | 543555. | − | 3.08266e6i | 0.0953163 | − | 0.540566i | ||||
\(505\) | 1.37236e6 | + | 2.37699e6i | 0.239463 | + | 0.414762i | ||||
\(506\) | −4.40227e6 | + | 7.62495e6i | −0.764364 | + | 1.32392i | ||||
\(507\) | 1.62373e6 | + | 1.36247e6i | 0.280539 | + | 0.235400i | ||||
\(508\) | −4.11561e6 | − | 1.49796e6i | −0.707579 | − | 0.257538i | ||||
\(509\) | −5.57731e6 | + | 2.02997e6i | −0.954179 | + | 0.347293i | −0.771750 | − | 0.635926i | \(-0.780618\pi\) |
−0.182429 | + | 0.983219i | \(0.558396\pi\) | |||||||
\(510\) | 4.49401e6 | − | 3.77092e6i | 0.765083 | − | 0.641981i | ||||
\(511\) | −880885. | − | 4.99575e6i | −0.149234 | − | 0.846347i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −8.06479e6 | − | 1.22166e7i | −1.35301 | − | 2.04954i | ||||
\(514\) | −2.44479e6 | −0.408163 | ||||||||
\(515\) | −38281.8 | − | 217107.i | −0.00636025 | − | 0.0360708i | ||||
\(516\) | 1.75439e6 | − | 1.47211e6i | 0.290070 | − | 0.243398i | ||||
\(517\) | −4.57700e6 | + | 1.66589e6i | −0.753103 | + | 0.274107i | ||||
\(518\) | 2.79296e6 | + | 1.01656e6i | 0.457342 | + | 0.166459i | ||||
\(519\) | −9.67314e6 | − | 8.11673e6i | −1.57634 | − | 1.32270i | ||||
\(520\) | 616259. | − | 1.06739e6i | 0.0999436 | − | 0.173107i | ||||
\(521\) | −4.51381e6 | − | 7.81814e6i | −0.728532 | − | 1.26185i | −0.957504 | − | 0.288421i | \(-0.906870\pi\) |
0.228972 | − | 0.973433i | \(-0.426464\pi\) | |||||||
\(522\) | 40463.6 | − | 229480.i | 0.00649962 | − | 0.0368612i | ||||
\(523\) | −21069.1 | + | 119489.i | −0.00336816 | + | 0.0191018i | −0.986446 | − | 0.164089i | \(-0.947532\pi\) |
0.983077 | + | 0.183191i | \(0.0586426\pi\) | |||||||
\(524\) | −2.16912e6 | − | 3.75703e6i | −0.345108 | − | 0.597745i | ||||
\(525\) | −2.29647e6 | + | 3.97760e6i | −0.363632 | + | 0.629830i | ||||
\(526\) | −2.07365e6 | − | 1.74000e6i | −0.326792 | − | 0.274211i | ||||
\(527\) | 1.20622e6 | + | 439030.i | 0.189192 | + | 0.0688601i | ||||
\(528\) | 4.11156e6 | − | 1.49649e6i | 0.641833 | − | 0.233608i | ||||
\(529\) | 5.39106e6 | − | 4.52363e6i | 0.837596 | − | 0.702827i | ||||
\(530\) | −635599. | − | 3.60466e6i | −0.0982865 | − | 0.557410i | ||||
\(531\) | 2.05856e7 | 3.16831 | ||||||||
\(532\) | −247416. | + | 2.14847e6i | −0.0379008 | + | 0.329117i | ||||
\(533\) | 5.80974e6 | 0.885806 | ||||||||
\(534\) | −302991. | − | 1.71835e6i | −0.0459808 | − | 0.260770i | ||||
\(535\) | 4.01191e6 | − | 3.36639e6i | 0.605992 | − | 0.508488i | ||||
\(536\) | 823676. | − | 299794.i | 0.123835 | − | 0.0450724i | ||||
\(537\) | −5.09488e6 | − | 1.85438e6i | −0.762427 | − | 0.277501i | ||||
\(538\) | 1.31072e6 | + | 1.09982e6i | 0.195233 | + | 0.163820i | ||||
\(539\) | 2.82689e6 | − | 4.89631e6i | 0.419118 | − | 0.725934i | ||||
\(540\) | −2.63022e6 | − | 4.55567e6i | −0.388157 | − | 0.672307i | ||||
\(541\) | 804583. | − | 4.56302e6i | 0.118189 | − | 0.670284i | −0.866932 | − | 0.498426i | \(-0.833912\pi\) |
0.985122 | − | 0.171859i | \(-0.0549772\pi\) | |||||||
\(542\) | 250291. | − | 1.41947e6i | 0.0365972 | − | 0.207553i | ||||
\(543\) | −1.40043e6 | − | 2.42561e6i | −0.203826 | − | 0.353038i | ||||
\(544\) | −745453. | + | 1.29116e6i | −0.108000 | + | 0.187061i | ||||
\(545\) | −365417. | − | 306621.i | −0.0526984 | − | 0.0442192i | ||||
\(546\) | 5.01462e6 | + | 1.82517e6i | 0.719874 | + | 0.262013i | ||||
\(547\) | −8.39540e6 | + | 3.05568e6i | −1.19970 | + | 0.436655i | −0.863120 | − | 0.504999i | \(-0.831493\pi\) |
−0.336581 | + | 0.941655i | \(0.609271\pi\) | |||||||
\(548\) | −4.53570e6 | + | 3.80590e6i | −0.645197 | + | 0.541385i | ||||
\(549\) | 3.89207e6 | + | 2.20730e7i | 0.551125 | + | 3.12559i | ||||
\(550\) | −4.49969e6 | −0.634273 | ||||||||
\(551\) | −18418.2 | + | 159937.i | −0.00258445 | + | 0.0224425i | ||||
\(552\) | −6.69588e6 | −0.935319 | ||||||||
\(553\) | 89637.1 | + | 508357.i | 0.0124645 | + | 0.0706897i | ||||
\(554\) | 5.52851e6 | − | 4.63897e6i | 0.765304 | − | 0.642166i | ||||
\(555\) | 8.18820e6 | − | 2.98026e6i | 1.12838 | − | 0.410697i | ||||
\(556\) | 4.12262e6 | + | 1.50051e6i | 0.565571 | + | 0.205851i | ||||
\(557\) | −5.69336e6 | − | 4.77730e6i | −0.777554 | − | 0.652446i | 0.165077 | − | 0.986281i | \(-0.447213\pi\) |
−0.942631 | + | 0.333835i | \(0.891657\pi\) | |||||||
\(558\) | 1.00399e6 | − | 1.73896e6i | 0.136503 | − | 0.236431i | ||||
\(559\) | 1.36825e6 | + | 2.36988e6i | 0.185198 | + | 0.320773i | ||||
\(560\) | −134954. | + | 765362.i | −0.0181851 | + | 0.103133i | ||||
\(561\) | −4.32117e6 | + | 2.45066e7i | −0.579688 | + | 3.28758i | ||||
\(562\) | −1.60875e6 | − | 2.78644e6i | −0.214857 | − | 0.372143i | ||||
\(563\) | −4.58247e6 | + | 7.93707e6i | −0.609297 | + | 1.05533i | 0.382060 | + | 0.924138i | \(0.375215\pi\) |
−0.991357 | + | 0.131195i | \(0.958119\pi\) | |||||||
\(564\) | −2.83759e6 | − | 2.38102e6i | −0.375623 | − | 0.315185i | ||||
\(565\) | 3.76804e6 | + | 1.37146e6i | 0.496586 | + | 0.180743i | ||||
\(566\) | 3.35718e6 | − | 1.22191e6i | 0.440488 | − | 0.160324i | ||||
\(567\) | 8.34311e6 | − | 7.00070e6i | 1.08986 | − | 0.914501i | ||||
\(568\) | −830738. | − | 4.71135e6i | −0.108042 | − | 0.612738i | ||||
\(569\) | 660962. | 0.0855846 | 0.0427923 | − | 0.999084i | \(-0.486375\pi\) | ||||
0.0427923 | + | 0.999084i | \(0.486375\pi\) | |||||||
\(570\) | 3.49309e6 | + | 5.29136e6i | 0.450322 | + | 0.682150i | ||||
\(571\) | −1.00348e7 | −1.28800 | −0.644002 | − | 0.765024i | \(-0.722727\pi\) | ||||
−0.644002 | + | 0.765024i | \(0.722727\pi\) | |||||||
\(572\) | 907851. | + | 5.14868e6i | 0.116018 | + | 0.657970i | ||||
\(573\) | −3.50516e6 | + | 2.94117e6i | −0.445985 | + | 0.374226i | ||||
\(574\) | −3.44243e6 | + | 1.25294e6i | −0.436099 | + | 0.158727i | ||||
\(575\) | 6.47075e6 | + | 2.35516e6i | 0.816179 | + | 0.297065i | ||||
\(576\) | 1.78657e6 | + | 1.49911e6i | 0.224370 | + | 0.188269i | ||||
\(577\) | −4.45837e6 | + | 7.72213e6i | −0.557490 | + | 0.965600i | 0.440216 | + | 0.897892i | \(0.354902\pi\) |
−0.997705 | + | 0.0677081i | \(0.978431\pi\) | |||||||
\(578\) | −1.39994e6 | − | 2.42476e6i | −0.174297 | − | 0.301891i | ||||
\(579\) | 631696. | − | 3.58253e6i | 0.0783090 | − | 0.444113i | ||||
\(580\) | −10046.3 | + | 56975.4i | −0.00124004 | + | 0.00703262i | ||||
\(581\) | −3.14238e6 | − | 5.44277e6i | −0.386206 | − | 0.668928i | ||||
\(582\) | −6.10818e6 | + | 1.05797e7i | −0.747488 | + | 1.29469i | ||||
\(583\) | 1.18937e7 | + | 9.98004e6i | 1.44926 | + | 1.21608i | ||||
\(584\) | 3.55163e6 | + | 1.29269e6i | 0.430919 | + | 0.156842i | ||||
\(585\) | 1.03040e7 | − | 3.75035e6i | 1.24485 | − | 0.453087i | ||||
\(586\) | −4.48007e6 | + | 3.75922e6i | −0.538940 | + | 0.452225i | ||||
\(587\) | −2.52278e6 | − | 1.43074e7i | −0.302192 | − | 1.71382i | −0.636435 | − | 0.771330i | \(-0.719592\pi\) |
0.334243 | − | 0.942487i | \(-0.391520\pi\) | |||||||
\(588\) | 4.29972e6 | 0.512857 | ||||||||
\(589\) | −620517. | + | 1.24081e6i | −0.0736997 | + | 0.147373i | ||||
\(590\) | −5.11100e6 | −0.604471 | ||||||||
\(591\) | −2.05928e6 | − | 1.16787e7i | −0.242519 | − | 1.37539i | ||||
\(592\) | −1.69639e6 | + | 1.42344e6i | −0.198940 | + | 0.166931i | ||||
\(593\) | −6.01170e6 | + | 2.18808e6i | −0.702038 | + | 0.255521i | −0.668281 | − | 0.743909i | \(-0.732970\pi\) |
−0.0337575 | + | 0.999430i | \(0.510747\pi\) | |||||||
\(594\) | 2.09681e7 | + | 7.63176e6i | 2.43833 | + | 0.887480i | ||||
\(595\) | −3.38594e6 | − | 2.84114e6i | −0.392091 | − | 0.329004i | ||||
\(596\) | 2.50143e6 | − | 4.33260e6i | 0.288451 | − | 0.499612i | ||||
\(597\) | 7.68584e6 | + | 1.33123e7i | 0.882583 | + | 1.52868i | ||||
\(598\) | 1.38932e6 | − | 7.87920e6i | 0.158872 | − | 0.901009i | ||||
\(599\) | −1.97109e6 | + | 1.11786e7i | −0.224460 | + | 1.27298i | 0.639255 | + | 0.768995i | \(0.279243\pi\) |
−0.863715 | + | 0.503980i | \(0.831868\pi\) | |||||||
\(600\) | −1.71102e6 | − | 2.96357e6i | −0.194033 | − | 0.336075i | ||||
\(601\) | 413398. | − | 716027.i | 0.0466856 | − | 0.0808618i | −0.841738 | − | 0.539886i | \(-0.818467\pi\) |
0.888424 | + | 0.459024i | \(0.151801\pi\) | |||||||
\(602\) | −1.32182e6 | − | 1.10914e6i | −0.148656 | − | 0.124737i | ||||
\(603\) | 7.32796e6 | + | 2.66716e6i | 0.820710 | + | 0.298714i | ||||
\(604\) | 6.68784e6 | − | 2.43417e6i | 0.745922 | − | 0.271493i | ||||
\(605\) | −5.37496e6 | + | 4.51013e6i | −0.597017 | + | 0.500957i | ||||
\(606\) | −1.53752e6 | − | 8.71969e6i | −0.170074 | − | 0.964538i | ||||
\(607\) | 8.36168e6 | 0.921132 | 0.460566 | − | 0.887626i | \(-0.347647\pi\) | ||||
0.460566 | + | 0.887626i | \(0.347647\pi\) | |||||||
\(608\) | −1.29412e6 | − | 960018.i | −0.141976 | − | 0.105322i | ||||
\(609\) | −250493. | −0.0273685 | ||||||||
\(610\) | −966324. | − | 5.48030e6i | −0.105147 | − | 0.596320i | ||||
\(611\) | 3.39057e6 | − | 2.84503e6i | 0.367426 | − | 0.308307i | ||||
\(612\) | −1.24642e7 | + | 4.53658e6i | −1.34519 | + | 0.489610i | ||||
\(613\) | 470167. | + | 171127.i | 0.0505360 | + | 0.0183936i | 0.367164 | − | 0.930156i | \(-0.380329\pi\) |
−0.316628 | + | 0.948550i | \(0.602551\pi\) | |||||||
\(614\) | 3.23891e6 | + | 2.71777e6i | 0.346719 | + | 0.290932i | ||||
\(615\) | −5.36997e6 | + | 9.30107e6i | −0.572512 | + | 0.991619i | ||||
\(616\) | −1.64830e6 | − | 2.85494e6i | −0.175019 | − | 0.303142i | ||||
\(617\) | 207106. | − | 1.17455e6i | 0.0219017 | − | 0.124211i | −0.971897 | − | 0.235408i | \(-0.924357\pi\) |
0.993798 | + | 0.111197i | \(0.0354685\pi\) | |||||||
\(618\) | −123494. | + | 700368.i | −0.0130069 | + | 0.0737658i | ||||
\(619\) | 6.64643e6 | + | 1.15120e7i | 0.697207 | + | 1.20760i | 0.969431 | + | 0.245364i | \(0.0789076\pi\) |
−0.272224 | + | 0.962234i | \(0.587759\pi\) | |||||||
\(620\) | −249271. | + | 431749.i | −0.0260430 | + | 0.0451079i | ||||
\(621\) | −2.61585e7 | − | 2.19496e7i | −2.72197 | − | 2.28401i | ||||
\(622\) | 8.57285e6 | + | 3.12026e6i | 0.888483 | + | 0.323381i | ||||
\(623\) | −1.23535e6 | + | 449631.i | −0.127518 | + | 0.0464126i | ||||
\(624\) | −3.04579e6 | + | 2.55572e6i | −0.313140 | + | 0.262755i | ||||
\(625\) | −66688.9 | − | 378212.i | −0.00682895 | − | 0.0387289i | ||||
\(626\) | 517053. | 0.0527350 | ||||||||
\(627\) | −2.57778e7 | − | 7.66961e6i | −2.61865 | − | 0.779120i | ||||
\(628\) | 8.50165e6 | 0.860210 | ||||||||
\(629\) | −2.18702e6 | − | 1.24032e7i | −0.220408 | − | 1.24999i | ||||
\(630\) | −5.29659e6 | + | 4.44436e6i | −0.531673 | + | 0.446127i | ||||
\(631\) | 1.21459e7 | − | 4.42074e6i | 1.21438 | − | 0.442000i | 0.346162 | − | 0.938175i | \(-0.387485\pi\) |
0.868222 | + | 0.496175i | \(0.165263\pi\) | |||||||
\(632\) | −361407. | − | 131541.i | −0.0359918 | − | 0.0131000i | ||||
\(633\) | 6.51094e6 | + | 5.46333e6i | 0.645854 | + | 0.541936i | ||||
\(634\) | 1.10842e6 | − | 1.91985e6i | 0.109517 | − | 0.189690i | ||||
\(635\) | 4.83713e6 | + | 8.37815e6i | 0.476051 | + | 0.824544i | ||||
\(636\) | −2.05039e6 | + | 1.16283e7i | −0.200999 | + | 1.13992i | ||||
\(637\) | −892140. | + | 5.05958e6i | −0.0871133 | + | 0.494044i | ||||
\(638\) | −122704. | − | 212529.i | −0.0119345 | − | 0.0206712i | ||||
\(639\) | 2.12809e7 | − | 3.68597e7i | 2.06176 | − | 3.57108i | ||||
\(640\) | −443570. | − | 372200.i | −0.0428068 | − | 0.0359192i | ||||
\(641\) | −1.27894e7 | − | 4.65497e6i | −1.22944 | − | 0.447478i | −0.356032 | − | 0.934474i | \(-0.615871\pi\) |
−0.873404 | + | 0.486996i | \(0.838093\pi\) | |||||||
\(642\) | −1.58758e7 | + | 5.77832e6i | −1.52019 | + | 0.553304i | ||||
\(643\) | −4.37967e6 | + | 3.67498e6i | −0.417747 | + | 0.350532i | −0.827305 | − | 0.561752i | \(-0.810127\pi\) |
0.409558 | + | 0.912284i | \(0.365683\pi\) | |||||||
\(644\) | 876038. | + | 4.96826e6i | 0.0832354 | + | 0.472052i | ||||
\(645\) | −5.05873e6 | −0.478787 | ||||||||
\(646\) | 8.40852e6 | − | 3.64406e6i | 0.792754 | − | 0.343562i | ||||
\(647\) | −5.37466e6 | −0.504766 | −0.252383 | − | 0.967627i | \(-0.581214\pi\) | ||||
−0.252383 | + | 0.967627i | \(0.581214\pi\) | |||||||
\(648\) | 1.40909e6 | + | 7.99133e6i | 0.131826 | + | 0.747621i | ||||
\(649\) | 1.66078e7 | − | 1.39356e7i | 1.54775 | − | 1.29871i | ||||
\(650\) | 3.84232e6 | − | 1.39849e6i | 0.356705 | − | 0.129830i | ||||
\(651\) | −2.02836e6 | − | 738264.i | −0.187583 | − | 0.0682746i | ||||
\(652\) | −1.65312e6 | − | 1.38713e6i | −0.152295 | − | 0.127791i | ||||
\(653\) | −6.43711e6 | + | 1.11494e7i | −0.590756 | + | 1.02322i | 0.403375 | + | 0.915035i | \(0.367837\pi\) |
−0.994131 | + | 0.108184i | \(0.965496\pi\) | |||||||
\(654\) | 769409. | + | 1.33266e6i | 0.0703417 | + | 0.121835i | ||||
\(655\) | −1.66400e6 | + | 9.43700e6i | −0.151548 | + | 0.859470i | ||||
\(656\) | 473961. | − | 2.68797e6i | 0.0430014 | − | 0.243873i | ||||
\(657\) | 1.68128e7 | + | 2.91206e7i | 1.51959 | + | 2.63200i | ||||
\(658\) | −1.39544e6 | + | 2.41697e6i | −0.125645 | + | 0.217624i | ||||
\(659\) | 4.07719e6 | + | 3.42117e6i | 0.365719 | + | 0.306874i | 0.807065 | − | 0.590462i | \(-0.201055\pi\) |
−0.441346 | + | 0.897337i | \(0.645499\pi\) | |||||||
\(660\) | −9.08188e6 | − | 3.30554e6i | −0.811551 | − | 0.295381i | ||||
\(661\) | −8.40410e6 | + | 3.05884e6i | −0.748148 | + | 0.272304i | −0.687826 | − | 0.725875i | \(-0.741435\pi\) |
−0.0603218 | + | 0.998179i | \(0.519213\pi\) | |||||||
\(662\) | −4.57359e6 | + | 3.83770e6i | −0.405614 | + | 0.340350i | ||||
\(663\) | −3.92668e6 | − | 2.22693e7i | −0.346930 | − | 1.96754i | ||||
\(664\) | 4.68255e6 | 0.412157 | ||||||||
\(665\) | 3.46911e6 | − | 3.28411e6i | 0.304204 | − | 0.287981i | ||||
\(666\) | −1.97015e7 | −1.72113 | ||||||||
\(667\) | 65214.4 | + | 369849.i | 0.00567582 | + | 0.0321892i | ||||
\(668\) | 1.08563e6 | − | 910948.i | 0.0941324 | − | 0.0789865i | ||||
\(669\) | −1.39690e7 | + | 5.08431e6i | −1.20671 | + | 0.439205i | ||||
\(670\) | −1.81939e6 | − | 662203.i | −0.156581 | − | 0.0569907i | ||||
\(671\) | 1.80825e7 | + | 1.51730e7i | 1.55043 | + | 1.30096i | ||||
\(672\) | 1.25354e6 | − | 2.17119e6i | 0.107082 | − | 0.185471i | ||||
\(673\) | 255809. | + | 443074.i | 0.0217710 | + | 0.0377085i | 0.876706 | − | 0.481027i | \(-0.159736\pi\) |
−0.854935 | + | 0.518736i | \(0.826403\pi\) | |||||||
\(674\) | 63578.8 | − | 360573.i | 0.00539092 | − | 0.0305734i | ||||
\(675\) | 3.03044e6 | − | 1.71865e7i | 0.256004 | − | 1.45187i | ||||
\(676\) | 594932. | + | 1.03045e6i | 0.0500727 | + | 0.0867284i | ||||
\(677\) | 9.59286e6 | − | 1.66153e7i | 0.804408 | − | 1.39328i | −0.112281 | − | 0.993676i | \(-0.535816\pi\) |
0.916690 | − | 0.399600i | \(-0.130851\pi\) | |||||||
\(678\) | −9.90915e6 | − | 8.31477e6i | −0.827870 | − | 0.694666i | ||||
\(679\) | 8.64914e6 | + | 3.14803e6i | 0.719944 | + | 0.262038i | ||||
\(680\) | 3.09460e6 | − | 1.12634e6i | 0.256645 | − | 0.0934110i | ||||
\(681\) | −343036. | + | 287842.i | −0.0283447 | + | 0.0237841i | ||||
\(682\) | −367217. | − | 2.08259e6i | −0.0302316 | − | 0.171452i | ||||
\(683\) | 1.69775e7 | 1.39259 | 0.696294 | − | 0.717757i | \(-0.254831\pi\) | ||||
0.696294 | + | 0.717757i | \(0.254831\pi\) | |||||||
\(684\) | −3.32971e6 | − | 1.39434e7i | −0.272123 | − | 1.13954i | ||||
\(685\) | 1.30785e7 | 1.06496 | ||||||||
\(686\) | −1.56533e6 | − | 8.87740e6i | −0.126997 | − | 0.720237i | ||||
\(687\) | −2.50918e7 | + | 2.10545e7i | −2.02833 | + | 1.70197i | ||||
\(688\) | 1.20808e6 | − | 439707.i | 0.0973030 | − | 0.0354154i | ||||
\(689\) | −1.32579e7 | − | 4.82548e6i | −1.06396 | − | 0.387251i | ||||
\(690\) | 1.13300e7 | + | 9.50700e6i | 0.905957 | + | 0.760188i | ||||
\(691\) | 1.13887e7 | − | 1.97257e7i | 0.907355 | − | 1.57158i | 0.0896303 | − | 0.995975i | \(-0.471431\pi\) |
0.817725 | − | 0.575610i | \(-0.195235\pi\) | |||||||
\(692\) | −3.54423e6 | − | 6.13879e6i | −0.281357 | − | 0.487324i | ||||
\(693\) | 5.09288e6 | − | 2.88832e7i | 0.402838 | − | 2.28461i | ||||
\(694\) | −369403. | + | 2.09499e6i | −0.0291140 | + | 0.165114i | ||||
\(695\) | −4.84537e6 | − | 8.39242e6i | −0.380509 | − | 0.659061i | ||||
\(696\) | 93316.4 | − | 161629.i | 0.00730189 | − | 0.0126472i | ||||
\(697\) | 1.18915e7 | + | 9.97815e6i | 0.927159 | + | 0.777979i | ||||
\(698\) | −7.65951e6 | − | 2.78783e6i | −0.595062 | − | 0.216585i | ||||
\(699\) | −7.51493e6 | + | 2.73521e6i | −0.581744 | + | 0.211738i | ||||
\(700\) | −1.97507e6 | + | 1.65728e6i | −0.152349 | + | 0.127836i | ||||
\(701\) | −2.34987e6 | − | 1.33268e7i | −0.180613 | − | 1.02431i | −0.931463 | − | 0.363835i | \(-0.881467\pi\) |
0.750850 | − | 0.660472i | \(-0.229644\pi\) | |||||||
\(702\) | −2.02767e7 | −1.55294 | ||||||||
\(703\) | 1.35874e7 | − | 814578.i | 1.03693 | − | 0.0621648i | ||||
\(704\) | 2.45618e6 | 0.186779 | ||||||||
\(705\) | 1.42081e6 | + | 8.05779e6i | 0.107662 | + | 0.610581i | ||||
\(706\) | −1.44524e6 | + | 1.21270e6i | −0.109126 | + | 0.0915674i | ||||
\(707\) | −6.26875e6 | + | 2.28164e6i | −0.471663 | + | 0.171671i | ||||
\(708\) | 1.54933e7 | + | 5.63910e6i | 1.16161 | + | 0.422792i | ||||
\(709\) | −4.64256e6 | − | 3.89557e6i | −0.346850 | − | 0.291042i | 0.452674 | − | 0.891676i | \(-0.350470\pi\) |
−0.799524 | + | 0.600634i | \(0.794915\pi\) | |||||||
\(710\) | −5.28364e6 | + | 9.15152e6i | −0.393357 | + | 0.681314i | ||||
\(711\) | −1.71083e6 | − | 2.96325e6i | −0.126921 | − | 0.219834i | ||||
\(712\) | 170086. | − | 964605.i | 0.0125739 | − | 0.0713099i | ||||
\(713\) | −561964. | + | 3.18706e6i | −0.0413985 | + | 0.234783i | ||||
\(714\) | 7.12932e6 | + | 1.23483e7i | 0.523362 | + | 0.906490i | ||||
\(715\) | 5.77409e6 | − | 1.00010e7i | 0.422394 | − | 0.731609i | ||||
\(716\) | −2.33153e6 | − | 1.95638e6i | −0.169964 | − | 0.142617i | ||||
\(717\) | 6.94478e6 | + | 2.52769e6i | 0.504499 | + | 0.183623i | ||||
\(718\) | −1.18070e6 | + | 429741.i | −0.0854732 | + | 0.0311097i | ||||
\(719\) | −1.21471e7 | + | 1.01927e7i | −0.876297 | + | 0.735301i | −0.965414 | − | 0.260721i | \(-0.916040\pi\) |
0.0891172 | + | 0.996021i | \(0.471595\pi\) | |||||||
\(720\) | −894552. | − | 5.07326e6i | −0.0643094 | − | 0.364717i | ||||
\(721\) | 535821. | 0.0383868 | ||||||||
\(722\) | 2.87288e6 | + | 9.47859e6i | 0.205105 | + | 0.676707i | ||||
\(723\) | −2.29792e7 | −1.63489 | ||||||||
\(724\) | −273023. | − | 1.54839e6i | −0.0193576 | − | 0.109783i | ||||
\(725\) | −147029. | + | 123372.i | −0.0103886 | + | 0.00871710i | ||||
\(726\) | 2.12696e7 | − | 7.74150e6i | 1.49768 | − | 0.545110i | ||||
\(727\) | −1.89949e7 | − | 6.91358e6i | −1.33291 | − | 0.485140i | −0.425337 | − | 0.905035i | \(-0.639845\pi\) |
−0.907573 | + | 0.419895i | \(0.862067\pi\) | |||||||
\(728\) | 2.29480e6 | + | 1.92557e6i | 0.160478 | + | 0.134657i | ||||
\(729\) | −3.88053e6 | + | 6.72127e6i | −0.270440 | + | 0.468417i | ||||
\(730\) | −4.17428e6 | − | 7.23006e6i | −0.289917 | − | 0.502151i | ||||
\(731\) | −1.26967e6 | + | 7.20068e6i | −0.0878817 | + | 0.498402i | ||||
\(732\) | −3.11728e6 | + | 1.76790e7i | −0.215029 | + | 1.21949i | ||||
\(733\) | 7.09353e6 | + | 1.22863e7i | 0.487643 | + | 0.844623i | 0.999899 | − | 0.0142099i | \(-0.00452332\pi\) |
−0.512256 | + | 0.858833i | \(0.671190\pi\) | |||||||
\(734\) | 3.42834e6 | − | 5.93805e6i | 0.234879 | − | 0.406822i | ||||
\(735\) | −7.27549e6 | − | 6.10486e6i | −0.496757 | − | 0.416829i | ||||
\(736\) | −3.53209e6 | − | 1.28558e6i | −0.240346 | − | 0.0874789i | ||||
\(737\) | 7.71750e6 | − | 2.80894e6i | 0.523369 | − | 0.190491i | ||||
\(738\) | 1.86017e7 | − | 1.56087e7i | 1.25722 | − | 1.05493i | ||||
\(739\) | 736938. | + | 4.17938e6i | 0.0496386 | + | 0.281515i | 0.999516 | − | 0.0311080i | \(-0.00990359\pi\) |
−0.949877 | + | 0.312623i | \(0.898792\pi\) | |||||||
\(740\) | 4.89149e6 | 0.328369 | ||||||||
\(741\) | 2.43956e7 | − | 1.46253e6i | 1.63217 | − | 0.0978498i | ||||
\(742\) | 8.89634e6 | 0.593200 | ||||||||
\(743\) | 2.17774e6 | + | 1.23506e7i | 0.144722 | + | 0.820759i | 0.967590 | + | 0.252527i | \(0.0812615\pi\) |
−0.822868 | + | 0.568233i | \(0.807627\pi\) | |||||||
\(744\) | 1.23199e6 | − | 1.03376e6i | 0.0815972 | − | 0.0684682i | ||||
\(745\) | −1.03842e7 | + | 3.77953e6i | −0.685459 | + | 0.249487i | ||||
\(746\) | −9.68266e6 | − | 3.52420e6i | −0.637012 | − | 0.231853i | ||||
\(747\) | 3.19127e7 | + | 2.67779e7i | 2.09248 | + | 1.75580i | ||||
\(748\) | −6.98458e6 | + | 1.20976e7i | −0.456443 | + | 0.790582i | ||||
\(749\) | 6.36452e6 | + | 1.10237e7i | 0.414535 | + | 0.717995i | ||||
\(750\) | −3.49908e6 | + | 1.98442e7i | −0.227143 | + | 1.28819i | ||||
\(751\) | −3.31893e6 | + | 1.88226e7i | −0.214733 | + | 1.21781i | 0.666636 | + | 0.745383i | \(0.267733\pi\) |
−0.881369 | + | 0.472428i | \(0.843378\pi\) | |||||||
\(752\) | −1.03969e6 | − | 1.80080e6i | −0.0670440 | − | 0.116124i | ||||
\(753\) | −1.36296e7 | + | 2.36071e7i | −0.875981 | + | 1.51724i | ||||
\(754\) | 170830. | + | 143344.i | 0.0109430 | + | 0.00918228i | ||||
\(755\) | −1.47725e7 | − | 5.37676e6i | −0.943164 | − | 0.343284i | ||||
\(756\) | 1.20145e7 | − | 4.37292e6i | 0.764541 | − | 0.278270i | ||||
\(757\) | −7.47001e6 | + | 6.26808e6i | −0.473785 | + | 0.397553i | −0.848173 | − | 0.529719i | \(-0.822297\pi\) |
0.374388 | + | 0.927272i | \(0.377853\pi\) | |||||||
\(758\) | 1.76214e6 | + | 9.99358e6i | 0.111395 | + | 0.631754i | ||||
\(759\) | −6.27375e7 | −3.95297 | ||||||||
\(760\) | 826700. | + | 3.46186e6i | 0.0519175 | + | 0.217408i | ||||
\(761\) | 7.08784e6 | 0.443662 | 0.221831 | − | 0.975085i | \(-0.428797\pi\) | ||||
0.221831 | + | 0.975085i | \(0.428797\pi\) | |||||||
\(762\) | −5.41926e6 | − | 3.07342e7i | −0.338106 | − | 1.91749i | ||||
\(763\) | 888151. | − | 745247.i | 0.0552300 | − | 0.0463435i | ||||
\(764\) | −2.41367e6 | + | 878504.i | −0.149604 | + | 0.0544516i | ||||
\(765\) | 2.75316e7 | + | 1.00207e7i | 1.70090 | + | 0.619076i | ||||
\(766\) | −1.08585e6 | − | 911133.i | −0.0668646 | − | 0.0561061i | ||||
\(767\) | −9.85035e6 | + | 1.70613e7i | −0.604593 | + | 1.04719i | ||||
\(768\) | 933966. | + | 1.61768e6i | 0.0571384 | + | 0.0989666i | ||||
\(769\) | 3.59173e6 | − | 2.03697e7i | 0.219022 | − | 1.24214i | −0.654766 | − | 0.755831i | \(-0.727233\pi\) |
0.873789 | − | 0.486306i | \(-0.161656\pi\) | |||||||
\(770\) | −1.26446e6 | + | 7.17112e6i | −0.0768562 | + | 0.435873i | ||||
\(771\) | −8.71030e6 | − | 1.50867e7i | −0.527712 | − | 0.914024i | ||||
\(772\) | 1.02105e6 | − | 1.76851e6i | 0.0616600 | − | 0.106798i | ||||
\(773\) | 1.37801e7 | + | 1.15628e7i | 0.829473 | + | 0.696010i | 0.955170 | − | 0.296058i | \(-0.0956723\pi\) |
−0.125697 | + | 0.992069i | \(0.540117\pi\) | |||||||
\(774\) | 1.07479e7 | + | 3.91192e6i | 0.644870 | + | 0.234713i | ||||
\(775\) | −1.55418e6 | + | 565675.i | −0.0929494 | + | 0.0338308i | ||||
\(776\) | −5.25333e6 | + | 4.40807e6i | −0.313170 | + | 0.262781i | ||||
\(777\) | 3.67765e6 | + | 2.08570e7i | 0.218534 | + | 1.23937i | ||||
\(778\) | 9.20053e6 | 0.544959 | ||||||||
\(779\) | −1.21836e7 | + | 1.15339e7i | −0.719336 | + | 0.680976i | ||||
\(780\) | 8.78242e6 | 0.516866 | ||||||||
\(781\) | −7.78367e6 | − | 4.41434e7i | −0.456622 | − | 2.58963i | ||||
\(782\) | 1.63761e7 | − | 1.37412e7i | 0.957620 | − | 0.803539i | ||||
\(783\) | 894387. | − | 325530.i | 0.0521340 | − | 0.0189752i | ||||
\(784\) | 2.26811e6 | + | 825525.i | 0.131787 | + | 0.0479667i | ||||
\(785\) | −1.43855e7 | − | 1.20709e7i | −0.833205 | − | 0.699142i | ||||
\(786\) | 1.54563e7 | − | 2.67711e7i | 0.892378 | − | 1.54564i | ||||
\(787\) | 3.58431e6 | + | 6.20820e6i | 0.206285 | + | 0.357297i | 0.950541 | − | 0.310598i | \(-0.100529\pi\) |
−0.744256 | + | 0.667894i | \(0.767196\pi\) | |||||||
\(788\) | 1.15599e6 | − | 6.55594e6i | 0.0663190 | − | 0.376114i | ||||
\(789\) | 3.34945e6 | − | 1.89957e7i | 0.191550 | − | 1.08633i | ||||
\(790\) | 424766. | + | 735716.i | 0.0242149 | + | 0.0419414i | ||||
\(791\) | −4.87302e6 | + | 8.44031e6i | −0.276922 | + | 0.479642i | ||||
\(792\) | 1.67394e7 | + | 1.40461e7i | 0.948261 | + | 0.795686i | ||||
\(793\) | −2.01565e7 | − | 7.33635e6i | −1.13823 | − | 0.414283i | ||||
\(794\) | −4.65833e6 | + | 1.69550e6i | −0.262228 | + | 0.0954433i | ||||
\(795\) | 1.99797e7 | − | 1.67649e7i | 1.12117 | − | 0.940772i | ||||
\(796\) | 1.49841e6 | + | 8.49790e6i | 0.0838200 | + | 0.475367i | ||||
\(797\) | 3.21068e7 | 1.79040 | 0.895202 | − | 0.445661i | \(-0.147031\pi\) | ||||
0.895202 | + | 0.445661i | \(0.147031\pi\) | |||||||
\(798\) | −1.41396e7 | + | 6.12779e6i | −0.786014 | + | 0.340641i | ||||
\(799\) | 1.18262e7 | 0.655357 | ||||||||
\(800\) | −333575. | − | 1.89180e6i | −0.0184276 | − | 0.104508i | ||||
\(801\) | 6.67543e6 | − | 5.60135e6i | 0.367619 | − | 0.308469i | ||||
\(802\) | 8.92432e6 | − | 3.24819e6i | 0.489936 | − | 0.178322i | ||||
\(803\) | 3.32773e7 | + | 1.21120e7i | 1.82121 | + | 0.662865i | ||||
\(804\) | 4.78460e6 | + | 4.01476e6i | 0.261039 | + | 0.219038i | ||||
\(805\) | 5.57175e6 | − | 9.65055e6i | 0.303041 | − | 0.524883i | ||||
\(806\) | 960830. | + | 1.66421e6i | 0.0520966 | + | 0.0902339i | ||||
\(807\) | −2.11713e6 | + | 1.20068e7i | −0.114436 | + | 0.649000i | ||||
\(808\) | 863095. | − | 4.89485e6i | 0.0465083 | − | 0.263761i | ||||
\(809\) | −1.31084e7 | − | 2.27044e7i | −0.704170 | − | 1.21966i | −0.966990 | − | 0.254813i | \(-0.917986\pi\) |
0.262821 | − | 0.964845i | \(-0.415347\pi\) | |||||||
\(810\) | 8.96203e6 | − | 1.55227e7i | 0.479947 | − | 0.831293i | ||||
\(811\) | −1.07787e7 | − | 9.04443e6i | −0.575460 | − | 0.482868i | 0.307992 | − | 0.951389i | \(-0.400343\pi\) |
−0.883453 | + | 0.468520i | \(0.844787\pi\) | |||||||
\(812\) | −132135. | − | 48093.4i | −0.00703282 | − | 0.00255974i | ||||
\(813\) | 9.65123e6 | − | 3.51276e6i | 0.512102 | − | 0.186390i | ||||
\(814\) | −1.58945e7 | + | 1.33371e7i | −0.840786 | + | 0.705504i | ||||
\(815\) | 827732. | + | 4.69430e6i | 0.0436511 | + | 0.247558i | ||||
\(816\) | −1.06236e7 | −0.558529 | ||||||||
\(817\) | −7.57420e6 | − | 2.25353e6i | −0.396992 | − | 0.118116i | ||||
\(818\) | −8.90723e6 | −0.465436 | ||||||||
\(819\) | 4.62794e6 | + | 2.62464e7i | 0.241090 | + | 1.36729i | ||||
\(820\) | −4.61844e6 | + | 3.87533e6i | −0.239861 | + | 0.201268i | ||||
\(821\) | −2.61609e7 | + | 9.52179e6i | −1.35455 | + | 0.493016i | −0.914365 | − | 0.404891i | \(-0.867309\pi\) |
−0.440185 | + | 0.897907i | \(0.645087\pi\) | |||||||
\(822\) | −3.96458e7 | − | 1.44299e7i | −2.04653 | − | 0.744875i | ||||
\(823\) | −1.69239e7 | − | 1.42009e7i | −0.870966 | − | 0.730827i | 0.0933352 | − | 0.995635i | \(-0.470247\pi\) |
−0.964301 | + | 0.264807i | \(0.914692\pi\) | |||||||
\(824\) | −199610. | + | 345735.i | −0.0102415 | + | 0.0177389i | ||||
\(825\) | −1.60315e7 | − | 2.77674e7i | −0.820048 | − | 1.42036i | ||||
\(826\) | 2.15712e6 | − | 1.22336e7i | 0.110008 | − | 0.623886i | ||||
\(827\) | 6.11809e6 | − | 3.46974e7i | 0.311066 | − | 1.76414i | −0.282413 | − | 0.959293i | \(-0.591135\pi\) |
0.593479 | − | 0.804850i | \(-0.297754\pi\) | |||||||
\(828\) | −1.67203e7 | − | 2.89603e7i | −0.847554 | − | 1.46801i | ||||
\(829\) | −1.97359e7 | + | 3.41836e7i | −0.997404 | + | 1.72755i | −0.436336 | + | 0.899784i | \(0.643724\pi\) |
−0.561068 | + | 0.827770i | \(0.689609\pi\) | |||||||
\(830\) | −7.92328e6 | − | 6.64842e6i | −0.399218 | − | 0.334983i | ||||
\(831\) | 4.83238e7 | + | 1.75884e7i | 2.42750 | + | 0.883537i | ||||
\(832\) | −2.09735e6 | + | 763372.i | −0.105042 | + | 0.0382321i | ||||
\(833\) | −1.05158e7 | + | 8.82381e6i | −0.525086 | + | 0.440599i | ||||
\(834\) | 5.42850e6 | + | 3.07865e7i | 0.270249 | + | 1.53266i | ||||
\(835\) | −3.13037e6 | −0.155374 | ||||||||
\(836\) | −1.21254e7 | − | 8.99496e6i | −0.600038 | − | 0.445127i | ||||
\(837\) | 8.20172e6 | 0.404661 | ||||||||
\(838\) | 2.53104e6 | + | 1.43542e7i | 0.124506 | + | 0.706107i | ||||
\(839\) | −1.46657e7 | + | 1.23060e7i | −0.719278 | + | 0.603546i | −0.927186 | − | 0.374602i | \(-0.877779\pi\) |
0.207907 | + | 0.978149i | \(0.433335\pi\) | |||||||
\(840\) | −5.20382e6 | + | 1.89404e6i | −0.254463 | + | 0.0926169i | ||||
\(841\) | 1.92643e7 | + | 7.01165e6i | 0.939213 | + | 0.341846i | ||||
\(842\) | −9.14470e6 | − | 7.67331e6i | −0.444518 | − | 0.372995i | ||||
\(843\) | 1.14633e7 | − | 1.98551e7i | 0.555574 | − | 0.962283i | ||||
\(844\) | 2.38561e6 | + | 4.13199e6i | 0.115277 | + | 0.199666i | ||||
\(845\) | 456391. | − | 2.58832e6i | 0.0219885 | − | 0.124703i | ||||
\(846\) | 3.21242e6 | − | 1.82185e7i | 0.154314 | − | 0.875159i | ||||
\(847\) | −8.52686e6 | − | 1.47690e7i | −0.408395 | − | 0.707361i | ||||
\(848\) | −3.31417e6 | + | 5.74031e6i | −0.158265 | + | 0.274123i | ||||
\(849\) | 1.95013e7 | + | 1.63636e7i | 0.928528 | + | 0.779127i | ||||
\(850\) | 1.02664e7 | + | 3.73667e6i | 0.487384 | + | 0.177393i | ||||
\(851\) | 2.98377e7 | − | 1.08600e7i | 1.41234 | − | 0.514051i | ||||
\(852\) | 2.61138e7 | − | 2.19120e7i | 1.23245 | − | 1.03415i | ||||
\(853\) | −3.70233e6 | − | 2.09970e7i | −0.174222 | − | 0.988062i | −0.939038 | − | 0.343813i | \(-0.888281\pi\) |
0.764816 | − | 0.644249i | \(-0.222830\pi\) | |||||||
\(854\) | 1.35254e7 | 0.634608 | ||||||||
\(855\) | −1.41631e7 | + | 2.83210e7i | −0.662585 | + | 1.32493i | ||||
\(856\) | −9.48394e6 | −0.442389 | ||||||||
\(857\) | 2.36981e6 | + | 1.34398e7i | 0.110220 | + | 0.625090i | 0.989006 | + | 0.147874i | \(0.0472429\pi\) |
−0.878786 | + | 0.477216i | \(0.841646\pi\) | |||||||
\(858\) | −2.85378e7 | + | 2.39460e7i | −1.32343 | + | 1.11049i | ||||
\(859\) | −8.40692e6 | + | 3.05987e6i | −0.388735 | + | 0.141488i | −0.528991 | − | 0.848627i | \(-0.677430\pi\) |
0.140256 | + | 0.990115i | \(0.455207\pi\) | |||||||
\(860\) | −2.66849e6 | − | 971252.i | −0.123033 | − | 0.0447802i | ||||
\(861\) | −1.99965e7 | − | 1.67791e7i | −0.919277 | − | 0.771365i | ||||
\(862\) | −8.52420e6 | + | 1.47643e7i | −0.390738 | + | 0.676778i | ||||
\(863\) | −1.46585e7 | − | 2.53892e7i | −0.669979 | − | 1.16044i | −0.977909 | − | 0.209029i | \(-0.932970\pi\) |
0.307930 | − | 0.951409i | \(-0.400364\pi\) | |||||||
\(864\) | −1.65418e6 | + | 9.38133e6i | −0.0753874 | + | 0.427543i | ||||
\(865\) | −2.71889e6 | + | 1.54196e7i | −0.123552 | + | 0.700700i | ||||
\(866\) | −407648. | − | 706067.i | −0.0184710 | − | 0.0319927i | ||||
\(867\) | 9.97540e6 | − | 1.72779e7i | 0.450695 | − | 0.780626i | ||||
\(868\) | −928224. | − | 778872.i | −0.0418171 | − | 0.0350887i | ||||
\(869\) | −3.38623e6 | − | 1.23249e6i | −0.152113 | − | 0.0553647i | ||||
\(870\) | −387385. | + | 140997.i | −0.0173518 | + | 0.00631554i | ||||
\(871\) | −5.71701e6 | + | 4.79714e6i | −0.255343 | + | 0.214258i | ||||
\(872\) | 150002. | + | 850702.i | 0.00668044 | + | 0.0378867i | ||||
\(873\) | −6.10109e7 | −2.70939 | ||||||||
\(874\) | 1.27288e7 | + | 1.92816e7i | 0.563648 | + | 0.853817i | ||||
\(875\) | 1.51820e7 | 0.670360 | ||||||||
\(876\) | 4.67664e6 | + | 2.65225e7i | 0.205908 | + | 1.16776i | ||||
\(877\) | 2.86079e7 | − | 2.40049e7i | 1.25599 | − | 1.05390i | 0.259898 | − | 0.965636i | \(-0.416311\pi\) |
0.996097 | − | 0.0882682i | \(-0.0281333\pi\) | |||||||
\(878\) | −3.01935e6 | + | 1.09895e6i | −0.132183 | + | 0.0481108i | ||||
\(879\) | −3.91596e7 | − | 1.42529e7i | −1.70949 | − | 0.622202i | ||||
\(880\) | −4.15607e6 | − | 3.48736e6i | −0.180916 | − | 0.151806i | ||||
\(881\) | 2.61672e6 | − | 4.53229e6i | 0.113584 | − | 0.196733i | −0.803629 | − | 0.595131i | \(-0.797100\pi\) |
0.917213 | + | 0.398398i | \(0.130434\pi\) | |||||||
\(882\) | 1.07368e7 | + | 1.85967e7i | 0.464733 | + | 0.804942i | ||||
\(883\) | −1.32777e6 | + | 7.53018e6i | −0.0573090 | + | 0.325015i | −0.999962 | − | 0.00875998i | \(-0.997212\pi\) |
0.942653 | + | 0.333775i | \(0.108323\pi\) | |||||||
\(884\) | 2.20427e6 | − | 1.25010e7i | 0.0948711 | − | 0.538041i | ||||
\(885\) | −1.82095e7 | − | 3.15397e7i | −0.781518 | − | 1.35363i | ||||
\(886\) | 4.52548e6 | − | 7.83837e6i | 0.193678 | − | 0.335460i | ||||
\(887\) | 2.26934e7 | + | 1.90420e7i | 0.968480 | + | 0.812651i | 0.982312 | − | 0.187253i | \(-0.0599586\pi\) |
−0.0138320 | + | 0.999904i | \(0.504403\pi\) | |||||||
\(888\) | −1.48279e7 | − | 5.39691e6i | −0.631026 | − | 0.229675i | ||||
\(889\) | −2.20954e7 | + | 8.04205e6i | −0.937663 | + | 0.341281i | ||||
\(890\) | −1.65738e6 | + | 1.39070e6i | −0.0701368 | + | 0.0588517i | ||||
\(891\) | 1.32026e7 | + | 7.48754e7i | 0.557139 | + | 3.15969i | ||||
\(892\) | −8.34487e6 | −0.351162 | ||||||||
\(893\) | −1.46223e6 | + | 1.26975e7i | −0.0613602 | + | 0.532831i | ||||
\(894\) | 3.56483e7 | 1.49175 | ||||||||
\(895\) | 1.16742e6 | + | 6.62075e6i | 0.0487156 | + | 0.276280i | ||||
\(896\) | 1.07810e6 | − | 904636.i | 0.0448632 | − | 0.0376447i | ||||
\(897\) | 5.35720e7 | − | 1.94986e7i | 2.22309 | − | 0.809138i | ||||
\(898\) | 2.92408e6 | + | 1.06428e6i | 0.121004 | + | 0.0440417i | ||||
\(899\) | −69099.2 | − | 57981.1i | −0.00285150 | − | 0.00239270i | ||||
\(900\) | 8.54515e6 | − | 1.48006e7i | 0.351652 | − | 0.609080i | ||||
\(901\) | −1.88488e7 | − | 3.26472e7i | −0.773522 | − | 1.33978i | ||||
\(902\) | 4.44081e6 | − | 2.51851e7i | 0.181738 | − | 1.03069i | ||||
\(903\) | 2.13506e6 | − | 1.21085e7i | 0.0871346 | − | 0.494165i | ||||
\(904\) | −3.63071e6 | − | 6.28857e6i | −0.147765 | − | 0.255936i | ||||
\(905\) | −1.73647e6 | + | 3.00766e6i | −0.0704768 | + | 0.122069i | ||||
\(906\) | 3.88486e7 | + | 3.25978e7i | 1.57237 | + | 1.31937i | ||||
\(907\) | −3.51561e7 | − | 1.27958e7i | −1.41900 | − | 0.516474i | −0.485244 | − | 0.874379i | \(-0.661269\pi\) |
−0.933758 | + | 0.357905i | \(0.883491\pi\) | |||||||
\(908\) | −236217. | + | 85975.9i | −0.00950815 | + | 0.00346068i | ||||
\(909\) | 3.38742e7 | − | 2.84238e7i | 1.35975 | − | 1.14097i | ||||
\(910\) | −1.14903e6 | − | 6.51645e6i | −0.0459967 | − | 0.260860i | ||||
\(911\) | 3.03078e6 | 0.120993 | 0.0604963 | − | 0.998168i | \(-0.480732\pi\) | ||||
0.0604963 | + | 0.998168i | \(0.480732\pi\) | |||||||
\(912\) | 1.31354e6 | − | 1.14063e7i | 0.0522943 | − | 0.454106i | ||||
\(913\) | 4.38735e7 | 1.74191 | ||||||||
\(914\) | 4.81177e6 | + | 2.72889e7i | 0.190519 | + | 1.08049i | ||||
\(915\) | 3.03758e7 | − | 2.54883e7i | 1.19943 | − | 1.00644i | ||||
\(916\) | −1.72783e7 | + | 6.28880e6i | −0.680398 | + | 0.247645i | ||||
\(917\) | −2.18860e7 | − | 7.96585e6i | −0.859494 | − | 0.312830i | ||||
\(918\) | −4.15028e7 | − | 3.48250e7i | −1.62544 | − | 1.36390i | ||||
\(919\) | 2.02436e7 | − | 3.50630e7i | 0.790679 | − | 1.36950i | −0.134869 | − | 0.990864i | \(-0.543061\pi\) |
0.925547 | − | 0.378632i | \(-0.123605\pi\) | |||||||
\(920\) | 4.15131e6 | + | 7.19028e6i | 0.161702 | + | 0.280076i | ||||
\(921\) | −5.23162e6 | + | 2.96700e7i | −0.203230 | + | 1.15257i | ||||
\(922\) | −2.71287e6 | + | 1.53854e7i | −0.105100 | + | 0.596049i | ||||
\(923\) | 2.03661e7 | + | 3.52752e7i | 0.786872 | + | 1.36290i | ||||
\(924\) | 1.17451e7 | − | 2.03432e7i | 0.452562 | − | 0.783860i | ||||
\(925\) | 1.24311e7 | + | 1.04309e7i | 0.477700 | + | 0.400838i | ||||
\(926\) | −2.45723e7 | − | 8.94358e6i | −0.941712 | − | 0.342755i | ||||
\(927\) | −3.33754e6 | + | 1.21476e6i | −0.127564 | + | 0.0464293i | ||||
\(928\) | 80256.6 | − | 67343.3i | 0.00305922 | − | 0.00256699i | ||||
\(929\) | 3.20690e6 | + | 1.81872e7i | 0.121912 | + | 0.691397i | 0.983094 | + | 0.183101i | \(0.0586135\pi\) |
−0.861182 | + | 0.508296i | \(0.830275\pi\) | |||||||
\(930\) | −3.55240e6 | −0.134684 | ||||||||
\(931\) | −8.17370e6 | − | 1.23816e7i | −0.309061 | − | 0.468168i | ||||
\(932\) | −4.48929e6 | −0.169293 | ||||||||
\(933\) | 1.12884e7 | + | 6.40195e7i | 0.424548 | + | 2.40773i | ||||
\(934\) | 8.41721e6 | − | 7.06288e6i | 0.315719 | − | 0.264920i | ||||
\(935\) | 2.89951e7 | − | 1.05534e7i | 1.08467 | − | 0.394786i | ||||
\(936\) | −1.86594e7 | − | 6.79146e6i | −0.696157 | − | 0.253381i | ||||
\(937\) | 2.27703e7 | + | 1.91066e7i | 0.847267 | + | 0.710941i | 0.959186 | − | 0.282776i | \(-0.0912554\pi\) |
−0.111919 | + | 0.993717i | \(0.535700\pi\) | |||||||
\(938\) | 2.35292e6 | − | 4.07538e6i | 0.0873173 | − | 0.151238i | ||||
\(939\) | 1.84216e6 | + | 3.19071e6i | 0.0681808 | + | 0.118093i | ||||
\(940\) | −797579. | + | 4.52330e6i | −0.0294411 | + | 0.166969i | ||||
\(941\) | 3.88725e6 | − | 2.20457e7i | 0.143109 | − | 0.811613i | −0.825756 | − | 0.564027i | \(-0.809251\pi\) |
0.968866 | − | 0.247587i | \(-0.0796374\pi\) | |||||||
\(942\) | 3.02897e7 | + | 5.24633e7i | 1.11216 | + | 1.92632i | ||||
\(943\) | −1.95681e7 | + | 3.38929e7i | −0.716587 | + | 1.24117i | ||||
\(944\) | 7.09008e6 | + | 5.94928e6i | 0.258953 | + | 0.217287i | ||||
\(945\) | −2.65384e7 | − | 9.65917e6i | −0.966706 | − | 0.351852i | ||||
\(946\) | 1.13192e7 | − | 4.11987e6i | 0.411235 | − | 0.149677i | ||||
\(947\) | −1.72545e7 | + | 1.44783e7i | −0.625214 | + | 0.524617i | −0.899438 | − | 0.437049i | \(-0.856024\pi\) |
0.274224 | + | 0.961666i | \(0.411579\pi\) | |||||||
\(948\) | −475885. | − | 2.69888e6i | −0.0171981 | − | 0.0975355i | ||||
\(949\) | −3.21801e7 | −1.15990 | ||||||||
\(950\) | −5.28134e6 | + | 1.05608e7i | −0.189861 | + | 0.379653i | ||||
\(951\) | 1.57964e7 | 0.566377 | ||||||||
\(952\) | 1.38991e6 | + | 7.88258e6i | 0.0497044 | + | 0.281887i | ||||
\(953\) | 1.99865e7 | − | 1.67707e7i | 0.712860 | − | 0.598161i | −0.212540 | − | 0.977152i | \(-0.568173\pi\) |
0.925400 | + | 0.378991i | \(0.123729\pi\) | |||||||
\(954\) | −5.54137e7 | + | 2.01689e7i | −1.97127 | + | 0.717484i | ||||
\(955\) | 5.33147e6 | + | 1.94049e6i | 0.189164 | + | 0.0688500i | ||||
\(956\) | 3.17808e6 | + | 2.66673e6i | 0.112466 | + | 0.0943701i | ||||
\(957\) | 874336. | − | 1.51439e6i | 0.0308602 | − | 0.0534514i | ||||
\(958\) | 1.44508e7 | + | 2.50296e7i | 0.508721 | + | 0.881130i | ||||
\(959\) | −5.51985e6 | + | 3.13046e7i | −0.193812 | + | 1.09916i | ||||
\(960\) | 716474. | − | 4.06332e6i | 0.0250912 | − | 0.142299i | ||||
\(961\) | 1.39259e7 | + | 2.41204e7i | 0.486425 | + | 0.842512i | ||||
\(962\) | 9.42729e6 | − | 1.63286e7i | 0.328435 | − | 0.568866i | ||||
\(963\) | −6.46353e7 | − | 5.42354e7i | −2.24597 | − | 1.88459i | ||||
\(964\) | −1.21216e7 | − | 4.41190e6i | −0.420114 | − | 0.152909i | ||||
\(965\) | −4.23869e6 | + | 1.54276e6i | −0.146525 | + | 0.0533309i | ||||
\(966\) | −2.75377e7 | + | 2.31069e7i | −0.949479 | + | 0.796707i | ||||
\(967\) | 34886.3 | + | 197850.i | 0.00119974 | + | 0.00680408i | 0.985402 | − | 0.170245i | \(-0.0544559\pi\) |
−0.984202 | + | 0.177049i | \(0.943345\pi\) | |||||||
\(968\) | 1.27061e7 | 0.435837 | ||||||||
\(969\) | 5.24452e7 | + | 3.89055e7i | 1.79430 | + | 1.33107i | ||||
\(970\) | 1.51478e7 | 0.516916 | ||||||||
\(971\) | −6.10858e6 | − | 3.46435e7i | −0.207918 | − | 1.17916i | −0.892781 | − | 0.450491i | \(-0.851249\pi\) |
0.684863 | − | 0.728672i | \(-0.259862\pi\) | |||||||
\(972\) | −1.65865e7 | + | 1.39178e7i | −0.563106 | + | 0.472502i | ||||
\(973\) | 2.21330e7 | − | 8.05576e6i | 0.749477 | − | 0.272787i | ||||
\(974\) | 1.69791e6 | + | 617988.i | 0.0573478 | + | 0.0208729i | ||||
\(975\) | 2.23194e7 | + | 1.87282e7i | 0.751919 | + | 0.630935i | ||||
\(976\) | −5.03865e6 | + | 8.72719e6i | −0.169313 | + | 0.293258i | ||||
\(977\) | −1.11351e7 | − | 1.92866e7i | −0.373215 | − | 0.646427i | 0.616843 | − | 0.787086i | \(-0.288411\pi\) |
−0.990058 | + | 0.140659i | \(0.955078\pi\) | |||||||
\(978\) | 2.67019e6 | − | 1.51434e7i | 0.0892678 | − | 0.506263i | ||||
\(979\) | 1.59363e6 | − | 9.03794e6i | 0.0531412 | − | 0.301379i | ||||
\(980\) | −2.66574e6 | − | 4.61719e6i | −0.0886650 | − | 0.153572i | ||||
\(981\) | −3.84258e6 | + | 6.65554e6i | −0.127482 | + | 0.220806i | ||||
\(982\) | −2.55896e7 | − | 2.14723e7i | −0.846809 | − | 0.710557i | ||||
\(983\) | 5.61934e7 | + | 2.04527e7i | 1.85482 | + | 0.675099i | 0.982529 | + | 0.186110i | \(0.0595882\pi\) |
0.872290 | + | 0.488988i | \(0.162634\pi\) | |||||||
\(984\) | 1.82759e7 | − | 6.65189e6i | 0.601716 | − | 0.219007i | ||||
\(985\) | −1.12643e7 | + | 9.45191e6i | −0.369926 | + | 0.310405i | ||||
\(986\) | 103468. | + | 586798.i | 0.00338934 | + | 0.0192219i | ||||
\(987\) | −1.98867e7 | −0.649785 | ||||||||
\(988\) | 1.31495e7 | + | 3.91234e6i | 0.428566 | + | 0.127510i | ||||
\(989\) | −1.84339e7 | −0.599276 | ||||||||
\(990\) | −8.38158e6 | − | 4.75343e7i | −0.271793 | − | 1.54141i | ||||
\(991\) | −3.47526e7 | + | 2.91609e7i | −1.12410 | + | 0.943228i | −0.998804 | − | 0.0488922i | \(-0.984431\pi\) |
−0.125291 | + | 0.992120i | \(0.539986\pi\) | |||||||
\(992\) | 848356. | − | 308776.i | 0.0273715 | − | 0.00996242i | ||||
\(993\) | −3.99770e7 | − | 1.45505e7i | −1.28658 | − | 0.468278i | ||||
\(994\) | −1.96750e7 | − | 1.65093e7i | −0.631610 | − | 0.529983i | ||||
\(995\) | 9.53013e6 | − | 1.65067e7i | 0.305170 | − | 0.528569i | ||||
\(996\) | 1.66830e7 | + | 2.88958e7i | 0.532875 | + | 0.922966i | ||||
\(997\) | −7.24390e6 | + | 4.10822e7i | −0.230799 | + | 1.30893i | 0.620483 | + | 0.784220i | \(0.286936\pi\) |
−0.851282 | + | 0.524708i | \(0.824175\pi\) | |||||||
\(998\) | 5.92381e6 | − | 3.35956e7i | 0.188267 | − | 1.06772i | ||||
\(999\) | −4.02361e7 | − | 6.96909e7i | −1.27556 | − | 2.20934i |
(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 | 38.6.e.b.9.1 | ✓ | 30 | |
19.6 | even | 9 | 722.6.a.r.1.2 | 15 | |||
19.13 | odd | 18 | 722.6.a.q.1.14 | 15 | |||
19.17 | even | 9 | inner | 38.6.e.b.17.1 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.9.1 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.6.e.b.17.1 | yes | 30 | 19.17 | even | 9 | inner | |
722.6.a.q.1.14 | 15 | 19.13 | odd | 18 | |||
722.6.a.r.1.2 | 15 | 19.6 | even | 9 |