Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,6,Mod(2,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.c (of order \(11\), degree \(10\), 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: | \(3.68882785570\) |
Analytic rank: | \(0\) |
Dimension: | \(90\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 23.3 |
Dual form | 23.6.c.a.8.2 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{8}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13164 | − | 7.87071i | −0.200047 | − | 1.39136i | −0.804138 | − | 0.594442i | \(-0.797373\pi\) |
0.604091 | − | 0.796915i | \(-0.293536\pi\) | |||||||
\(3\) | −6.81486 | + | 14.9225i | −0.437174 | + | 0.957277i | 0.554935 | + | 0.831894i | \(0.312743\pi\) |
−0.992108 | + | 0.125383i | \(0.959984\pi\) | |||||||
\(4\) | −29.9637 | + | 8.79812i | −0.936364 | + | 0.274941i | ||||
\(5\) | −54.8415 | + | 63.2904i | −0.981034 | + | 1.13217i | 0.0101853 | + | 0.999948i | \(0.496758\pi\) |
−0.991220 | + | 0.132226i | \(0.957788\pi\) | |||||||
\(6\) | 125.162 | + | 36.7510i | 1.41937 | + | 0.416765i | ||||
\(7\) | −3.45670 | + | 2.22148i | −0.0266634 | + | 0.0171356i | −0.553905 | − | 0.832580i | \(-0.686863\pi\) |
0.527241 | + | 0.849716i | \(0.323226\pi\) | |||||||
\(8\) | −2.54800 | − | 5.57934i | −0.0140758 | − | 0.0308218i | ||||
\(9\) | −17.1066 | − | 19.7421i | −0.0703976 | − | 0.0812432i | ||||
\(10\) | 560.201 | + | 360.019i | 1.77151 | + | 1.13848i | ||||
\(11\) | −64.8376 | + | 450.955i | −0.161564 | + | 1.12370i | 0.734122 | + | 0.679017i | \(0.237594\pi\) |
−0.895686 | + | 0.444686i | \(0.853315\pi\) | |||||||
\(12\) | 72.9085 | − | 507.090i | 0.146159 | − | 1.01656i | ||||
\(13\) | −801.248 | − | 514.931i | −1.31495 | − | 0.845066i | −0.320194 | − | 0.947352i | \(-0.603748\pi\) |
−0.994755 | + | 0.102286i | \(0.967384\pi\) | |||||||
\(14\) | 21.3964 | + | 24.6927i | 0.0291756 | + | 0.0336705i | ||||
\(15\) | −570.713 | − | 1249.69i | −0.654922 | − | 1.43408i | ||||
\(16\) | −881.708 | + | 566.640i | −0.861043 | + | 0.553359i | ||||
\(17\) | 278.854 | + | 81.8789i | 0.234021 | + | 0.0687147i | 0.396640 | − | 0.917974i | \(-0.370176\pi\) |
−0.162619 | + | 0.986689i | \(0.551994\pi\) | |||||||
\(18\) | −136.026 | + | 156.982i | −0.0989555 | + | 0.114201i | ||||
\(19\) | −237.974 | + | 69.8756i | −0.151233 | + | 0.0444060i | −0.356473 | − | 0.934306i | \(-0.616021\pi\) |
0.205240 | + | 0.978712i | \(0.434203\pi\) | |||||||
\(20\) | 1086.41 | − | 2378.92i | 0.607324 | − | 1.32985i | ||||
\(21\) | −9.59312 | − | 66.7216i | −0.00474692 | − | 0.0330155i | ||||
\(22\) | 3622.71 | 1.59579 | ||||||||
\(23\) | 2290.68 | + | 1090.46i | 0.902912 | + | 0.429825i | ||||
\(24\) | 100.622 | 0.0356586 | ||||||||
\(25\) | −553.358 | − | 3848.69i | −0.177075 | − | 1.23158i | ||||
\(26\) | −3146.15 | + | 6889.11i | −0.912738 | + | 1.99862i | ||||
\(27\) | −3413.75 | + | 1002.37i | −0.901201 | + | 0.264617i | ||||
\(28\) | 84.0304 | − | 96.9763i | 0.0202554 | − | 0.0233760i | ||||
\(29\) | 6799.06 | + | 1996.39i | 1.50125 | + | 0.440808i | 0.926113 | − | 0.377247i | \(-0.123129\pi\) |
0.575141 | + | 0.818054i | \(0.304947\pi\) | |||||||
\(30\) | −9190.08 | + | 5906.10i | −1.86430 | + | 1.19811i | ||||
\(31\) | −2553.58 | − | 5591.56i | −0.477249 | − | 1.04503i | −0.983211 | − | 0.182473i | \(-0.941590\pi\) |
0.505962 | − | 0.862556i | \(-0.331138\pi\) | |||||||
\(32\) | 5329.09 | + | 6150.10i | 0.919980 | + | 1.06171i | ||||
\(33\) | −6287.51 | − | 4040.74i | −1.00506 | − | 0.645915i | ||||
\(34\) | 328.883 | − | 2287.43i | 0.0487915 | − | 0.339353i | ||||
\(35\) | 48.9717 | − | 340.605i | 0.00675733 | − | 0.0469982i | ||||
\(36\) | 686.270 | + | 441.039i | 0.0882549 | + | 0.0567180i | ||||
\(37\) | 3120.58 | + | 3601.34i | 0.374740 | + | 0.432474i | 0.911524 | − | 0.411246i | \(-0.134906\pi\) |
−0.536784 | + | 0.843720i | \(0.680361\pi\) | |||||||
\(38\) | 819.271 | + | 1793.95i | 0.0920383 | + | 0.201536i | ||||
\(39\) | 13144.4 | − | 8447.42i | 1.38382 | − | 0.889329i | ||||
\(40\) | 492.855 | + | 144.715i | 0.0487045 | + | 0.0143009i | ||||
\(41\) | −8161.16 | + | 9418.48i | −0.758215 | + | 0.875027i | −0.995338 | − | 0.0964531i | \(-0.969250\pi\) |
0.237123 | + | 0.971480i | \(0.423796\pi\) | |||||||
\(42\) | −514.290 | + | 151.009i | −0.0449868 | + | 0.0132093i | ||||
\(43\) | 2731.88 | − | 5981.99i | 0.225315 | − | 0.493372i | −0.762886 | − | 0.646533i | \(-0.776218\pi\) |
0.988201 | + | 0.153161i | \(0.0489454\pi\) | |||||||
\(44\) | −2024.79 | − | 14082.7i | −0.157670 | − | 1.09662i | ||||
\(45\) | 2187.64 | 0.161044 | ||||||||
\(46\) | 5990.51 | − | 19263.3i | 0.417416 | − | 1.34226i | ||||
\(47\) | 11655.7 | 0.769652 | 0.384826 | − | 0.922989i | \(-0.374261\pi\) | ||||
0.384826 | + | 0.922989i | \(0.374261\pi\) | |||||||
\(48\) | −2446.94 | − | 17018.8i | −0.153292 | − | 1.06617i | ||||
\(49\) | −6974.87 | + | 15272.8i | −0.414998 | + | 0.908718i | ||||
\(50\) | −29665.7 | + | 8710.64i | −1.67815 | + | 0.492748i | ||||
\(51\) | −3122.19 | + | 3603.19i | −0.168087 | + | 0.193982i | ||||
\(52\) | 28538.8 | + | 8379.74i | 1.46361 | + | 0.429756i | ||||
\(53\) | −18212.0 | + | 11704.1i | −0.890567 | + | 0.572333i | −0.903979 | − | 0.427577i | \(-0.859367\pi\) |
0.0134115 | + | 0.999910i | \(0.495731\pi\) | |||||||
\(54\) | 11752.5 | + | 25734.3i | 0.548459 | + | 1.20096i | ||||
\(55\) | −24985.4 | − | 28834.7i | −1.11373 | − | 1.28531i | ||||
\(56\) | 21.2021 | + | 13.6257i | 0.000903459 | + | 0.000580618i | ||||
\(57\) | 579.047 | − | 4027.36i | 0.0236062 | − | 0.164185i | ||||
\(58\) | 8018.89 | − | 55772.6i | 0.313000 | − | 2.17696i | ||||
\(59\) | −32099.6 | − | 20629.2i | −1.20052 | − | 0.771528i | −0.221474 | − | 0.975166i | \(-0.571087\pi\) |
−0.979046 | + | 0.203639i | \(0.934723\pi\) | |||||||
\(60\) | 28095.5 | + | 32424.0i | 1.00753 | + | 1.16275i | ||||
\(61\) | 23152.4 | + | 50696.6i | 0.796656 | + | 1.74443i | 0.656531 | + | 0.754299i | \(0.272023\pi\) |
0.140125 | + | 0.990134i | \(0.455249\pi\) | |||||||
\(62\) | −41119.8 | + | 26426.1i | −1.35854 | + | 0.873079i | ||||
\(63\) | 102.989 | + | 30.2404i | 0.00326919 | + | 0.000959921i | ||||
\(64\) | 20411.8 | − | 23556.5i | 0.622918 | − | 0.718886i | ||||
\(65\) | 76531.9 | − | 22471.8i | 2.24677 | − | 0.659712i | ||||
\(66\) | −24688.3 | + | 54059.8i | −0.697639 | + | 1.52762i | ||||
\(67\) | 4611.93 | + | 32076.7i | 0.125515 | + | 0.872976i | 0.951141 | + | 0.308758i | \(0.0999132\pi\) |
−0.825626 | + | 0.564218i | \(0.809178\pi\) | |||||||
\(68\) | −9075.86 | −0.238021 | ||||||||
\(69\) | −31883.1 | + | 26751.3i | −0.806191 | + | 0.676429i | ||||
\(70\) | −2736.22 | −0.0667431 | ||||||||
\(71\) | 2544.22 | + | 17695.4i | 0.0598975 | + | 0.416596i | 0.997605 | + | 0.0691702i | \(0.0220352\pi\) |
−0.937707 | + | 0.347426i | \(0.887056\pi\) | |||||||
\(72\) | −66.5602 | + | 145.747i | −0.00151315 | + | 0.00331335i | ||||
\(73\) | −7259.56 | + | 2131.60i | −0.159442 | + | 0.0468164i | −0.360479 | − | 0.932767i | \(-0.617387\pi\) |
0.201037 | + | 0.979584i | \(0.435569\pi\) | |||||||
\(74\) | 24813.7 | − | 28636.6i | 0.526760 | − | 0.607913i | ||||
\(75\) | 61203.1 | + | 17970.8i | 1.25638 | + | 0.368906i | ||||
\(76\) | 6515.81 | − | 4187.46i | 0.129400 | − | 0.0831603i | ||||
\(77\) | −777.666 | − | 1702.85i | −0.0149474 | − | 0.0327303i | ||||
\(78\) | −81361.9 | − | 93896.7i | −1.51420 | − | 1.74749i | ||||
\(79\) | −33871.9 | − | 21768.1i | −0.610621 | − | 0.392422i | 0.198469 | − | 0.980107i | \(-0.436403\pi\) |
−0.809090 | + | 0.587685i | \(0.800039\pi\) | |||||||
\(80\) | 12491.3 | − | 86879.1i | 0.218214 | − | 1.51771i | ||||
\(81\) | 9209.82 | − | 64055.7i | 0.155969 | − | 1.08479i | ||||
\(82\) | 83365.6 | + | 53575.8i | 1.36915 | + | 0.879902i | ||||
\(83\) | −23301.6 | − | 26891.5i | −0.371271 | − | 0.428470i | 0.539113 | − | 0.842233i | \(-0.318760\pi\) |
−0.910384 | + | 0.413763i | \(0.864214\pi\) | |||||||
\(84\) | 874.470 | + | 1914.82i | 0.0135222 | + | 0.0296094i | ||||
\(85\) | −20474.9 | + | 13158.4i | −0.307379 | + | 0.197541i | ||||
\(86\) | −50174.0 | − | 14732.4i | −0.731530 | − | 0.214797i | ||||
\(87\) | −76125.7 | + | 87853.7i | −1.07828 | + | 1.24441i | ||||
\(88\) | 2681.24 | − | 787.282i | 0.0369087 | − | 0.0108374i | ||||
\(89\) | −32495.6 | + | 71155.5i | −0.434861 | + | 0.952212i | 0.557653 | + | 0.830074i | \(0.311702\pi\) |
−0.992513 | + | 0.122137i | \(0.961025\pi\) | |||||||
\(90\) | −2475.61 | − | 17218.3i | −0.0322164 | − | 0.224070i | ||||
\(91\) | 3913.59 | 0.0495417 | ||||||||
\(92\) | −78231.3 | − | 12520.6i | −0.963631 | − | 0.154225i | ||||
\(93\) | 100842. | 1.20902 | ||||||||
\(94\) | −13190.0 | − | 91738.8i | −0.153967 | − | 1.07086i | ||||
\(95\) | 8628.41 | − | 18893.6i | 0.0980894 | − | 0.214786i | ||||
\(96\) | −128092. | + | 37611.1i | −1.41855 | + | 0.416522i | ||||
\(97\) | 101421. | − | 117046.i | 1.09446 | − | 1.26307i | 0.132112 | − | 0.991235i | \(-0.457824\pi\) |
0.962344 | − | 0.271835i | \(-0.0876304\pi\) | |||||||
\(98\) | 128101. | + | 37613.8i | 1.34737 | + | 0.395624i | ||||
\(99\) | 10012.0 | − | 6434.29i | 0.102667 | − | 0.0659801i | ||||
\(100\) | 50441.9 | + | 110452.i | 0.504419 | + | 1.10452i | ||||
\(101\) | 73586.4 | + | 84923.2i | 0.717784 | + | 0.828367i | 0.991039 | − | 0.133575i | \(-0.0426456\pi\) |
−0.273255 | + | 0.961942i | \(0.588100\pi\) | |||||||
\(102\) | 31892.9 | + | 20496.3i | 0.303524 | + | 0.195063i | ||||
\(103\) | 23609.7 | − | 164209.i | 0.219279 | − | 1.52512i | −0.521430 | − | 0.853294i | \(-0.674601\pi\) |
0.740709 | − | 0.671826i | \(-0.234490\pi\) | |||||||
\(104\) | −831.395 | + | 5782.48i | −0.00753745 | + | 0.0524241i | ||||
\(105\) | 4748.94 | + | 3051.96i | 0.0420362 | + | 0.0270150i | ||||
\(106\) | 112729. | + | 130096.i | 0.974475 | + | 1.12460i | ||||
\(107\) | 11138.3 | + | 24389.6i | 0.0940505 | + | 0.205942i | 0.950810 | − | 0.309774i | \(-0.100253\pi\) |
−0.856760 | + | 0.515716i | \(0.827526\pi\) | |||||||
\(108\) | 93469.4 | − | 60069.1i | 0.771099 | − | 0.495555i | ||||
\(109\) | 4085.39 | + | 1199.58i | 0.0329357 | + | 0.00967081i | 0.298159 | − | 0.954516i | \(-0.403627\pi\) |
−0.265223 | + | 0.964187i | \(0.585446\pi\) | |||||||
\(110\) | −198675. | + | 229283.i | −1.56553 | + | 1.80672i | ||||
\(111\) | −75007.2 | + | 22024.1i | −0.577824 | + | 0.169664i | ||||
\(112\) | 1789.02 | − | 3917.40i | 0.0134763 | − | 0.0295089i | ||||
\(113\) | −19405.2 | − | 134966.i | −0.142963 | − | 0.994328i | −0.927387 | − | 0.374103i | \(-0.877951\pi\) |
0.784424 | − | 0.620225i | \(-0.212959\pi\) | |||||||
\(114\) | −32353.4 | −0.233162 | ||||||||
\(115\) | −194640. | + | 85175.7i | −1.37242 | + | 0.600580i | ||||
\(116\) | −221289. | −1.52692 | ||||||||
\(117\) | 3540.84 | + | 24627.1i | 0.0239134 | + | 0.166321i | ||||
\(118\) | −126041. | + | 275991.i | −0.833310 | + | 1.82469i | ||||
\(119\) | −1145.81 | + | 336.439i | −0.00741726 | + | 0.00217790i | ||||
\(120\) | −5518.25 | + | 6368.40i | −0.0349823 | + | 0.0403717i | ||||
\(121\) | −44629.4 | − | 13104.4i | −0.277113 | − | 0.0813678i | ||||
\(122\) | 372818. | − | 239596.i | 2.26776 | − | 1.45740i | ||||
\(123\) | −84929.8 | − | 185970.i | −0.506171 | − | 1.10836i | ||||
\(124\) | 125710. | + | 145077.i | 0.734200 | + | 0.847312i | ||||
\(125\) | 53773.1 | + | 34557.9i | 0.307815 | + | 0.197821i | ||||
\(126\) | 121.467 | − | 844.819i | 0.000681602 | − | 0.00474064i | ||||
\(127\) | 11445.5 | − | 79605.1i | 0.0629687 | − | 0.437957i | −0.933811 | − | 0.357767i | \(-0.883538\pi\) |
0.996780 | − | 0.0801900i | \(-0.0255527\pi\) | |||||||
\(128\) | 10564.5 | + | 6789.37i | 0.0569932 | + | 0.0366273i | ||||
\(129\) | 70648.6 | + | 81532.9i | 0.373792 | + | 0.431378i | ||||
\(130\) | −263475. | − | 576930.i | −1.36735 | − | 2.99409i | ||||
\(131\) | −200426. | + | 128806.i | −1.02041 | + | 0.655778i | −0.940067 | − | 0.340989i | \(-0.889238\pi\) |
−0.0803436 | + | 0.996767i | \(0.525602\pi\) | |||||||
\(132\) | 223948. | + | 65756.9i | 1.11869 | + | 0.328478i | ||||
\(133\) | 667.378 | − | 770.195i | 0.00327147 | − | 0.00377548i | ||||
\(134\) | 247247. | − | 72598.3i | 1.18951 | − | 0.349272i | ||||
\(135\) | 123775. | − | 271029.i | 0.584517 | − | 1.27991i | ||||
\(136\) | −253.689 | − | 1764.45i | −0.00117613 | − | 0.00818015i | ||||
\(137\) | 4239.99 | 0.0193003 | 0.00965013 | − | 0.999953i | \(-0.496928\pi\) | ||||
0.00965013 | + | 0.999953i | \(0.496928\pi\) | |||||||
\(138\) | 246632. | + | 220670.i | 1.10243 | + | 0.986383i | ||||
\(139\) | −70681.4 | −0.310290 | −0.155145 | − | 0.987892i | \(-0.549585\pi\) | ||||
−0.155145 | + | 0.987892i | \(0.549585\pi\) | |||||||
\(140\) | 1529.32 | + | 10636.6i | 0.00659444 | + | 0.0458653i | ||||
\(141\) | −79432.2 | + | 173932.i | −0.336472 | + | 0.736770i | ||||
\(142\) | 136396. | − | 40049.6i | 0.567652 | − | 0.166678i | ||||
\(143\) | 284162. | − | 327940.i | 1.16205 | − | 1.34108i | ||||
\(144\) | 26269.7 | + | 7713.48i | 0.105572 | + | 0.0309988i | ||||
\(145\) | −499223. | + | 320831.i | −1.97185 | + | 1.26723i | ||||
\(146\) | 24992.4 | + | 54725.7i | 0.0970343 | + | 0.212475i | ||||
\(147\) | −180376. | − | 208164.i | −0.688469 | − | 0.794536i | ||||
\(148\) | −125189. | − | 80454.0i | −0.469798 | − | 0.301921i | ||||
\(149\) | −50852.1 | + | 353684.i | −0.187648 | + | 1.30512i | 0.650430 | + | 0.759566i | \(0.274589\pi\) |
−0.838077 | + | 0.545551i | \(0.816320\pi\) | |||||||
\(150\) | 72183.6 | − | 502048.i | 0.261945 | − | 1.82187i | ||||
\(151\) | −38860.4 | − | 24974.1i | −0.138696 | − | 0.0891348i | 0.469453 | − | 0.882958i | \(-0.344451\pi\) |
−0.608149 | + | 0.793823i | \(0.708088\pi\) | |||||||
\(152\) | 996.218 | + | 1149.70i | 0.00349740 | + | 0.00403622i | ||||
\(153\) | −3153.79 | − | 6905.83i | −0.0108919 | − | 0.0238499i | ||||
\(154\) | −12522.6 | + | 8047.79i | −0.0425494 | + | 0.0273448i | ||||
\(155\) | 493934. | + | 145032.i | 1.65135 | + | 0.484881i | ||||
\(156\) | −319534. | + | 368762.i | −1.05125 | + | 1.21321i | ||||
\(157\) | 53413.1 | − | 15683.5i | 0.172941 | − | 0.0507802i | −0.194115 | − | 0.980979i | \(-0.562184\pi\) |
0.367057 | + | 0.930199i | \(0.380365\pi\) | |||||||
\(158\) | −133000. | + | 291229.i | −0.423846 | + | 0.928094i | ||||
\(159\) | −50542.3 | − | 351529.i | −0.158548 | − | 1.10273i | ||||
\(160\) | −681498. | −2.10458 | ||||||||
\(161\) | −10340.7 | + | 1319.31i | −0.0314400 | + | 0.00401127i | ||||
\(162\) | −514586. | −1.54053 | ||||||||
\(163\) | 46160.3 | + | 321052.i | 0.136082 | + | 0.946468i | 0.937406 | + | 0.348238i | \(0.113220\pi\) |
−0.801324 | + | 0.598230i | \(0.795871\pi\) | |||||||
\(164\) | 161673. | − | 354015.i | 0.469384 | − | 1.02781i | ||||
\(165\) | 600556. | − | 176339.i | 1.71729 | − | 0.504242i | ||||
\(166\) | −185286. | + | 213832.i | −0.521883 | + | 0.602285i | ||||
\(167\) | −89343.0 | − | 26233.5i | −0.247896 | − | 0.0727888i | 0.155424 | − | 0.987848i | \(-0.450326\pi\) |
−0.403320 | + | 0.915059i | \(0.632144\pi\) | |||||||
\(168\) | −347.819 | + | 223.530i | −0.000950781 | + | 0.000611030i | ||||
\(169\) | 222604. | + | 487435.i | 0.599538 | + | 1.31281i | ||||
\(170\) | 126736. | + | 146261.i | 0.336340 | + | 0.388157i | ||||
\(171\) | 5450.43 | + | 3502.78i | 0.0142541 | + | 0.00916057i | ||||
\(172\) | −29226.9 | + | 203278.i | −0.0753289 | + | 0.523924i | ||||
\(173\) | −74538.5 | + | 518427.i | −0.189350 | + | 1.31696i | 0.644346 | + | 0.764734i | \(0.277130\pi\) |
−0.833696 | + | 0.552224i | \(0.813779\pi\) | |||||||
\(174\) | 777618. | + | 499745.i | 1.94712 | + | 1.25134i | ||||
\(175\) | 10462.6 | + | 12074.5i | 0.0258253 | + | 0.0298039i | ||||
\(176\) | −198361. | − | 434350.i | −0.482698 | − | 1.05696i | ||||
\(177\) | 526592. | − | 338420.i | 1.26340 | − | 0.811939i | ||||
\(178\) | 596818. | + | 175241.i | 1.41186 | + | 0.414559i | ||||
\(179\) | 342561. | − | 395336.i | 0.799107 | − | 0.922218i | −0.199225 | − | 0.979954i | \(-0.563842\pi\) |
0.998332 | + | 0.0577353i | \(0.0183879\pi\) | |||||||
\(180\) | −65549.7 | + | 19247.1i | −0.150796 | + | 0.0442776i | ||||
\(181\) | 116448. | − | 254985.i | 0.264201 | − | 0.578520i | −0.730314 | − | 0.683112i | \(-0.760626\pi\) |
0.994515 | + | 0.104592i | \(0.0333535\pi\) | |||||||
\(182\) | −4428.76 | − | 30802.7i | −0.00991068 | − | 0.0689303i | ||||
\(183\) | −914299. | −2.01818 | ||||||||
\(184\) | 247.415 | − | 15559.0i | 0.000538743 | − | 0.0338795i | ||||
\(185\) | −399067. | −0.857269 | ||||||||
\(186\) | −114117. | − | 793699.i | −0.241861 | − | 1.68218i | ||||
\(187\) | −55003.9 | + | 120442.i | −0.115024 | + | 0.251868i | ||||
\(188\) | −349248. | + | 102548.i | −0.720675 | + | 0.211609i | ||||
\(189\) | 9573.55 | − | 11048.5i | 0.0194948 | − | 0.0224982i | ||||
\(190\) | −158470. | − | 46531.0i | −0.318466 | − | 0.0935101i | ||||
\(191\) | 805490. | − | 517657.i | 1.59763 | − | 1.02674i | 0.629270 | − | 0.777187i | \(-0.283354\pi\) |
0.968362 | − | 0.249549i | \(-0.0802822\pi\) | |||||||
\(192\) | 212417. | + | 465128.i | 0.415850 | + | 0.910584i | ||||
\(193\) | 112996. | + | 130405.i | 0.218359 | + | 0.251999i | 0.854352 | − | 0.519696i | \(-0.173955\pi\) |
−0.635993 | + | 0.771695i | \(0.719409\pi\) | |||||||
\(194\) | −1.03601e6 | − | 665801.i | −1.97632 | − | 1.27011i | ||||
\(195\) | −186220. | + | 1.29519e6i | −0.350703 | + | 2.43919i | ||||
\(196\) | 74620.3 | − | 518995.i | 0.138745 | − | 0.964991i | ||||
\(197\) | −144654. | − | 92963.4i | −0.265561 | − | 0.170666i | 0.401083 | − | 0.916042i | \(-0.368634\pi\) |
−0.666645 | + | 0.745376i | \(0.732270\pi\) | |||||||
\(198\) | −61972.3 | − | 71519.9i | −0.112340 | − | 0.129647i | ||||
\(199\) | 356140. | + | 779838.i | 0.637511 | + | 1.39596i | 0.902072 | + | 0.431586i | \(0.142046\pi\) |
−0.264560 | + | 0.964369i | \(0.585227\pi\) | |||||||
\(200\) | −20063.2 | + | 12893.8i | −0.0354671 | + | 0.0227933i | ||||
\(201\) | −510093. | − | 149777.i | −0.890552 | − | 0.261490i | ||||
\(202\) | 585133. | − | 675279.i | 1.00896 | − | 1.16441i | ||||
\(203\) | −27937.2 | + | 8203.12i | −0.0475821 | + | 0.0139714i | ||||
\(204\) | 61850.7 | − | 135434.i | 0.104057 | − | 0.227852i | ||||
\(205\) | −148530. | − | 1.03305e6i | −0.246848 | − | 1.71686i | ||||
\(206\) | −1.31916e6 | −2.16585 | ||||||||
\(207\) | −17657.8 | − | 63877.1i | −0.0286425 | − | 0.103614i | ||||
\(208\) | 998248. | 1.59985 | ||||||||
\(209\) | −16081.1 | − | 111846.i | −0.0254653 | − | 0.177115i | ||||
\(210\) | 18647.0 | − | 40831.2i | 0.0291783 | − | 0.0638917i | ||||
\(211\) | −216934. | + | 63697.6i | −0.335445 | + | 0.0984957i | −0.445118 | − | 0.895472i | \(-0.646838\pi\) |
0.109672 | + | 0.993968i | \(0.465020\pi\) | |||||||
\(212\) | 442722. | − | 510929.i | 0.676537 | − | 0.780766i | ||||
\(213\) | −281398. | − | 82626.0i | −0.424984 | − | 0.124786i | ||||
\(214\) | 179359. | − | 115267.i | 0.267724 | − | 0.172056i | ||||
\(215\) | 228782. | + | 500963.i | 0.337541 | + | 0.739111i | ||||
\(216\) | 14290.8 | + | 16492.4i | 0.0208411 | + | 0.0240519i | ||||
\(217\) | 21248.5 | + | 13655.6i | 0.0306323 | + | 0.0196862i | ||||
\(218\) | 4818.36 | − | 33512.4i | 0.00686685 | − | 0.0477600i | ||||
\(219\) | 17664.2 | − | 122857.i | 0.0248876 | − | 0.173097i | ||||
\(220\) | 1.00234e6 | + | 644167.i | 1.39624 | + | 0.897309i | ||||
\(221\) | −181269. | − | 209196.i | −0.249657 | − | 0.288119i | ||||
\(222\) | 258226. | + | 565436.i | 0.351656 | + | 0.770019i | ||||
\(223\) | −749785. | + | 481858.i | −1.00966 | + | 0.648868i | −0.937305 | − | 0.348511i | \(-0.886688\pi\) |
−0.0723541 | + | 0.997379i | \(0.523051\pi\) | |||||||
\(224\) | −32083.4 | − | 9420.54i | −0.0427229 | − | 0.0125446i | ||||
\(225\) | −66515.2 | + | 76762.6i | −0.0875920 | + | 0.101087i | ||||
\(226\) | −1.04032e6 | + | 305466.i | −1.35487 | + | 0.397825i | ||||
\(227\) | 216798. | − | 474721.i | 0.279248 | − | 0.611468i | −0.717089 | − | 0.696982i | \(-0.754526\pi\) |
0.996337 | + | 0.0855137i | \(0.0272531\pi\) | |||||||
\(228\) | 18082.8 | + | 125769.i | 0.0230372 | + | 0.160227i | ||||
\(229\) | 111582. | 0.140606 | 0.0703031 | − | 0.997526i | \(-0.477603\pi\) | ||||
0.0703031 | + | 0.997526i | \(0.477603\pi\) | |||||||
\(230\) | 890655. | + | 1.43557e6i | 1.11017 | + | 1.78939i | ||||
\(231\) | 30710.4 | 0.0378666 | ||||||||
\(232\) | −6185.50 | − | 43021.1i | −0.00754492 | − | 0.0524761i | ||||
\(233\) | −70959.3 | + | 155379.i | −0.0856287 | + | 0.187501i | −0.947602 | − | 0.319452i | \(-0.896501\pi\) |
0.861974 | + | 0.506953i | \(0.169228\pi\) | |||||||
\(234\) | 189825. | − | 55737.8i | 0.226629 | − | 0.0665442i | ||||
\(235\) | −639217. | + | 737696.i | −0.755055 | + | 0.871380i | ||||
\(236\) | 1.14332e6 | + | 335709.i | 1.33625 | + | 0.392358i | ||||
\(237\) | 555666. | − | 357105.i | 0.642604 | − | 0.412976i | ||||
\(238\) | 3944.65 | + | 8637.58i | 0.00451405 | + | 0.00988438i | ||||
\(239\) | −183560. | − | 211839.i | −0.207865 | − | 0.239890i | 0.642238 | − | 0.766505i | \(-0.278006\pi\) |
−0.850103 | + | 0.526616i | \(0.823461\pi\) | |||||||
\(240\) | 1.21132e6 | + | 778471.i | 1.35748 | + | 0.872397i | ||||
\(241\) | −6966.74 | + | 48454.7i | −0.00772658 | + | 0.0537395i | −0.993320 | − | 0.115393i | \(-0.963187\pi\) |
0.985593 | + | 0.169132i | \(0.0540965\pi\) | |||||||
\(242\) | −52636.4 | + | 366094.i | −0.0577760 | + | 0.401841i | ||||
\(243\) | 165790. | + | 106547.i | 0.180112 | + | 0.115751i | ||||
\(244\) | −1.13976e6 | − | 1.31536e6i | −1.22558 | − | 1.41439i | ||||
\(245\) | −584112. | − | 1.27903e6i | −0.621700 | − | 1.36133i | ||||
\(246\) | −1.36761e6 | + | 878909.i | −1.44087 | + | 0.925989i | ||||
\(247\) | 226658. | + | 66552.7i | 0.236389 | + | 0.0694102i | ||||
\(248\) | −24690.7 | + | 28494.6i | −0.0254920 | + | 0.0294193i | ||||
\(249\) | 560086. | − | 164456.i | 0.572474 | − | 0.168094i | ||||
\(250\) | 211143. | − | 462339.i | 0.213662 | − | 0.467855i | ||||
\(251\) | −12037.9 | − | 83725.7i | −0.0120606 | − | 0.0838831i | 0.982902 | − | 0.184129i | \(-0.0589463\pi\) |
−0.994963 | + | 0.100245i | \(0.968037\pi\) | |||||||
\(252\) | −3351.99 | −0.00332508 | ||||||||
\(253\) | −640273. | + | 962292.i | −0.628874 | + | 0.945161i | ||||
\(254\) | −639500. | −0.621951 | ||||||||
\(255\) | −56822.5 | − | 395209.i | −0.0547230 | − | 0.380607i | ||||
\(256\) | 455829. | − | 998126.i | 0.434712 | − | 0.951888i | ||||
\(257\) | −526395. | + | 154564.i | −0.497141 | + | 0.145974i | −0.520685 | − | 0.853749i | \(-0.674323\pi\) |
0.0235439 | + | 0.999723i | \(0.492505\pi\) | |||||||
\(258\) | 561773. | − | 648320.i | 0.525426 | − | 0.606374i | ||||
\(259\) | −18787.2 | − | 5516.42i | −0.0174025 | − | 0.00510985i | ||||
\(260\) | −2.09547e6 | + | 1.34667e6i | −1.92241 | + | 1.23546i | ||||
\(261\) | −76896.2 | − | 168379.i | −0.0698721 | − | 0.152998i | ||||
\(262\) | 1.24060e6 | + | 1.43173e6i | 1.11655 | + | 1.28857i | ||||
\(263\) | 839012. | + | 539200.i | 0.747961 | + | 0.480685i | 0.858261 | − | 0.513213i | \(-0.171545\pi\) |
−0.110300 | + | 0.993898i | \(0.535181\pi\) | |||||||
\(264\) | −6524.07 | + | 45375.9i | −0.00576115 | + | 0.0400697i | ||||
\(265\) | 258012. | − | 1.79451e6i | 0.225697 | − | 1.56976i | ||||
\(266\) | −6817.21 | − | 4381.16i | −0.00590749 | − | 0.00379651i | ||||
\(267\) | −840363. | − | 969830.i | −0.721421 | − | 0.832564i | ||||
\(268\) | −420405. | − | 920558.i | −0.357545 | − | 0.782914i | ||||
\(269\) | 1.12741e6 | − | 724540.i | 0.949948 | − | 0.610494i | 0.0287491 | − | 0.999587i | \(-0.490848\pi\) |
0.921199 | + | 0.389092i | \(0.127211\pi\) | |||||||
\(270\) | −2.27326e6 | − | 667488.i | −1.89775 | − | 0.557230i | ||||
\(271\) | 70984.2 | − | 81920.1i | 0.0587135 | − | 0.0677590i | −0.725633 | − | 0.688082i | \(-0.758453\pi\) |
0.784347 | + | 0.620323i | \(0.212998\pi\) | |||||||
\(272\) | −292263. | + | 85816.3i | −0.239526 | + | 0.0703311i | ||||
\(273\) | −26670.6 | + | 58400.4i | −0.0216584 | + | 0.0474252i | ||||
\(274\) | −4798.13 | − | 33371.7i | −0.00386096 | − | 0.0268536i | ||||
\(275\) | 1.77147e6 | 1.41254 | ||||||||
\(276\) | 719974. | − | 1.08208e6i | 0.568911 | − | 0.855039i | ||||
\(277\) | 704707. | 0.551835 | 0.275917 | − | 0.961181i | \(-0.411018\pi\) | ||||
0.275917 | + | 0.961181i | \(0.411018\pi\) | |||||||
\(278\) | 79985.7 | + | 556313.i | 0.0620727 | + | 0.431725i | ||||
\(279\) | −66705.9 | + | 146066.i | −0.0513043 | + | 0.112341i | ||||
\(280\) | −2025.13 | + | 594.633i | −0.00154368 | + | 0.000453267i | ||||
\(281\) | −677341. | + | 781693.i | −0.511731 | + | 0.590569i | −0.951541 | − | 0.307522i | \(-0.900500\pi\) |
0.439810 | + | 0.898091i | \(0.355046\pi\) | |||||||
\(282\) | 1.45886e6 | + | 428359.i | 1.09242 | + | 0.320764i | ||||
\(283\) | 965157. | − | 620269.i | 0.716361 | − | 0.460377i | −0.131008 | − | 0.991381i | \(-0.541821\pi\) |
0.847369 | + | 0.531004i | \(0.178185\pi\) | |||||||
\(284\) | −231921. | − | 507836.i | −0.170625 | − | 0.373618i | ||||
\(285\) | 223138. | + | 257514.i | 0.162727 | + | 0.187797i | ||||
\(286\) | −2.90269e6 | − | 1.86545e6i | −2.09839 | − | 1.34855i | ||||
\(287\) | 7287.65 | − | 50686.7i | 0.00522255 | − | 0.0363237i | ||||
\(288\) | 30253.1 | − | 210415.i | 0.0214926 | − | 0.149484i | ||||
\(289\) | −1.12340e6 | − | 721968.i | −0.791210 | − | 0.508480i | ||||
\(290\) | 3.09011e6 | + | 3.56617e6i | 2.15764 | + | 2.49005i | ||||
\(291\) | 1.05545e6 | + | 2.31110e6i | 0.730640 | + | 1.59988i | ||||
\(292\) | 198769. | − | 127741.i | 0.136424 | − | 0.0876744i | ||||
\(293\) | 56981.7 | + | 16731.3i | 0.0387763 | + | 0.0113857i | 0.301063 | − | 0.953604i | \(-0.402658\pi\) |
−0.262287 | + | 0.964990i | \(0.584477\pi\) | |||||||
\(294\) | −1.43428e6 | + | 1.65525e6i | −0.967757 | + | 1.11685i | ||||
\(295\) | 3.06602e6 | − | 900264.i | 2.05126 | − | 0.602303i | ||||
\(296\) | 12141.9 | − | 26587.0i | 0.00805482 | − | 0.0176376i | ||||
\(297\) | −230683. | − | 1.60444e6i | −0.151749 | − | 1.05544i | ||||
\(298\) | 2.84129e6 | 1.85342 | ||||||||
\(299\) | −1.27389e6 | − | 2.05328e6i | −0.824052 | − | 1.32822i | ||||
\(300\) | −1.99198e6 | −1.27785 | ||||||||
\(301\) | 3845.60 | + | 26746.8i | 0.00244652 | + | 0.0170159i | ||||
\(302\) | −152588. | + | 334121.i | −0.0962726 | + | 0.210808i | ||||
\(303\) | −1.76875e6 | + | 519350.i | −1.10677 | + | 0.324978i | ||||
\(304\) | 170230. | − | 196456.i | 0.105646 | − | 0.121922i | ||||
\(305\) | −4.47832e6 | − | 1.31495e6i | −2.75655 | − | 0.809396i | ||||
\(306\) | −50784.8 | + | 32637.4i | −0.0310049 | + | 0.0199256i | ||||
\(307\) | 214697. | + | 470120.i | 0.130011 | + | 0.284684i | 0.963431 | − | 0.267955i | \(-0.0863480\pi\) |
−0.833421 | + | 0.552639i | \(0.813621\pi\) | |||||||
\(308\) | 38283.6 | + | 44181.7i | 0.0229951 | + | 0.0265378i | ||||
\(309\) | 2.28951e6 | + | 1.47138e6i | 1.36410 | + | 0.876653i | ||||
\(310\) | 582551. | − | 4.05173e6i | 0.344294 | − | 2.39462i | ||||
\(311\) | −338156. | + | 2.35193e6i | −0.198251 | + | 1.37887i | 0.611105 | + | 0.791550i | \(0.290725\pi\) |
−0.809356 | + | 0.587319i | \(0.800184\pi\) | |||||||
\(312\) | −80623.1 | − | 51813.3i | −0.0468892 | − | 0.0301339i | ||||
\(313\) | 404361. | + | 466657.i | 0.233296 | + | 0.269238i | 0.860311 | − | 0.509769i | \(-0.170269\pi\) |
−0.627015 | + | 0.779007i | \(0.715724\pi\) | |||||||
\(314\) | −183885. | − | 402651.i | −0.105250 | − | 0.230465i | ||||
\(315\) | −7562.01 | + | 4859.81i | −0.00429399 | + | 0.00275958i | ||||
\(316\) | 1.20644e6 | + | 354244.i | 0.679656 | + | 0.199565i | ||||
\(317\) | −866189. | + | 999636.i | −0.484133 | + | 0.558719i | −0.944288 | − | 0.329119i | \(-0.893248\pi\) |
0.460155 | + | 0.887838i | \(0.347794\pi\) | |||||||
\(318\) | −2.70959e6 | + | 795607.i | −1.50257 | + | 0.441195i | ||||
\(319\) | −1.34111e6 | + | 2.93663e6i | −0.737886 | + | 1.61574i | ||||
\(320\) | 371486. | + | 2.58374e6i | 0.202800 | + | 1.41050i | ||||
\(321\) | −439859. | −0.238260 | ||||||||
\(322\) | 22085.8 | + | 79895.3i | 0.0118706 | + | 0.0429419i | ||||
\(323\) | −72081.4 | −0.0384430 | ||||||||
\(324\) | 287610. | + | 2.00037e6i | 0.152209 | + | 1.05864i | ||||
\(325\) | −1.53843e6 | + | 3.36870e6i | −0.807924 | + | 1.76911i | ||||
\(326\) | 2.47467e6 | − | 726628.i | 1.28965 | − | 0.378676i | ||||
\(327\) | −45742.1 | + | 52789.2i | −0.0236563 | + | 0.0273008i | ||||
\(328\) | 73343.5 | + | 21535.6i | 0.0376424 | + | 0.0110528i | ||||
\(329\) | −40290.3 | + | 25893.0i | −0.0205216 | + | 0.0131884i | ||||
\(330\) | −2.06753e6 | − | 4.52725e6i | −1.04512 | − | 2.28849i | ||||
\(331\) | −958621. | − | 1.10631e6i | −0.480925 | − | 0.555017i | 0.462493 | − | 0.886623i | \(-0.346955\pi\) |
−0.943418 | + | 0.331606i | \(0.892410\pi\) | |||||||
\(332\) | 934797. | + | 600758.i | 0.465449 | + | 0.299126i | ||||
\(333\) | 17715.4 | − | 123213.i | 0.00875469 | − | 0.0608902i | ||||
\(334\) | −105372. | + | 732880.i | −0.0516844 | + | 0.359473i | ||||
\(335\) | −2.28307e6 | − | 1.46724e6i | −1.11150 | − | 0.714315i | ||||
\(336\) | 46265.4 | + | 53393.1i | 0.0223567 | + | 0.0258010i | ||||
\(337\) | 904371. | + | 1.98030e6i | 0.433783 | + | 0.949851i | 0.992698 | + | 0.120627i | \(0.0384904\pi\) |
−0.558915 | + | 0.829225i | \(0.688782\pi\) | |||||||
\(338\) | 3.58455e6 | − | 2.30365e6i | 1.70665 | − | 1.09679i | ||||
\(339\) | 2.14628e6 | + | 630204.i | 1.01435 | + | 0.297839i | ||||
\(340\) | 497734. | − | 574415.i | 0.233507 | − | 0.269481i | ||||
\(341\) | 2.68711e6 | − | 789006.i | 1.25141 | − | 0.367447i | ||||
\(342\) | 21401.4 | − | 46862.6i | 0.00989413 | − | 0.0216651i | ||||
\(343\) | −19646.6 | − | 136645.i | −0.00901678 | − | 0.0627131i | ||||
\(344\) | −40336.4 | −0.0183781 | ||||||||
\(345\) | 55417.2 | − | 3.48498e6i | 0.0250667 | − | 1.57635i | ||||
\(346\) | 4.16473e6 | 1.87024 | ||||||||
\(347\) | 70754.9 | + | 492111.i | 0.0315451 | + | 0.219401i | 0.999496 | − | 0.0317375i | \(-0.0101040\pi\) |
−0.967951 | + | 0.251139i | \(0.919195\pi\) | |||||||
\(348\) | 1.50806e6 | − | 3.30218e6i | 0.667528 | − | 1.46168i | ||||
\(349\) | 954134. | − | 280159.i | 0.419320 | − | 0.123123i | −0.0652643 | − | 0.997868i | \(-0.520789\pi\) |
0.484584 | + | 0.874745i | \(0.338971\pi\) | |||||||
\(350\) | 83194.9 | − | 96012.0i | 0.0363017 | − | 0.0418944i | ||||
\(351\) | 3.25141e6 | + | 954700.i | 1.40865 | + | 0.413618i | ||||
\(352\) | −3.11895e6 | + | 2.00442e6i | −1.34169 | + | 0.862250i | ||||
\(353\) | 92779.1 | + | 203158.i | 0.0396290 | + | 0.0867755i | 0.928411 | − | 0.371554i | \(-0.121175\pi\) |
−0.888782 | + | 0.458330i | \(0.848448\pi\) | |||||||
\(354\) | −3.25952e6 | − | 3.76169e6i | −1.38244 | − | 1.59542i | ||||
\(355\) | −1.25948e6 | − | 809419.i | −0.530421 | − | 0.340881i | ||||
\(356\) | 347653. | − | 2.41798e6i | 0.145385 | − | 1.01118i | ||||
\(357\) | 2788.01 | − | 19391.0i | 0.00115777 | − | 0.00805250i | ||||
\(358\) | −3.49923e6 | − | 2.24882e6i | −1.44299 | − | 0.927356i | ||||
\(359\) | 2.04930e6 | + | 2.36502e6i | 0.839209 | + | 0.968499i | 0.999829 | − | 0.0185176i | \(-0.00589468\pi\) |
−0.160620 | + | 0.987016i | \(0.551349\pi\) | |||||||
\(360\) | −5574.10 | − | 12205.6i | −0.00226683 | − | 0.00496366i | ||||
\(361\) | −2.03128e6 | + | 1.30542e6i | −0.820354 | + | 0.527210i | ||||
\(362\) | −2.13869e6 | − | 627976.i | −0.857781 | − | 0.251867i | ||||
\(363\) | 499692. | − | 576676.i | 0.199038 | − | 0.229702i | ||||
\(364\) | −117265. | + | 34432.2i | −0.0463891 | + | 0.0136211i | ||||
\(365\) | 263215. | − | 576361.i | 0.103414 | − | 0.226445i | ||||
\(366\) | 1.03465e6 | + | 7.19618e6i | 0.403731 | + | 2.80801i | ||||
\(367\) | 193651. | 0.0750509 | 0.0375254 | − | 0.999296i | \(-0.488052\pi\) | ||||
0.0375254 | + | 0.999296i | \(0.488052\pi\) | |||||||
\(368\) | −2.63761e6 | + | 336520.i | −1.01529 | + | 0.129536i | ||||
\(369\) | 325551. | 0.124467 | ||||||||
\(370\) | 451599. | + | 3.14094e6i | 0.171494 | + | 1.19277i | ||||
\(371\) | 36952.7 | − | 80915.1i | 0.0139384 | − | 0.0305207i | ||||
\(372\) | −3.02160e6 | + | 887221.i | −1.13209 | + | 0.332410i | ||||
\(373\) | −171082. | + | 197439.i | −0.0636697 | + | 0.0734787i | −0.786691 | − | 0.617347i | \(-0.788207\pi\) |
0.723021 | + | 0.690826i | \(0.242753\pi\) | |||||||
\(374\) | 1.01021e6 | + | 296623.i | 0.373449 | + | 0.109654i | ||||
\(375\) | −882145. | + | 566920.i | −0.323938 | + | 0.208182i | ||||
\(376\) | −29698.8 | − | 65031.2i | −0.0108335 | − | 0.0237221i | ||||
\(377\) | −4.41974e6 | − | 5.10065e6i | −1.60156 | − | 1.84830i | ||||
\(378\) | −97793.0 | − | 62847.7i | −0.0352029 | − | 0.0226235i | ||||
\(379\) | 331861. | − | 2.30814e6i | 0.118675 | − | 0.825401i | −0.840343 | − | 0.542055i | \(-0.817646\pi\) |
0.959018 | − | 0.283346i | \(-0.0914445\pi\) | |||||||
\(380\) | −92310.7 | + | 642035.i | −0.0327939 | + | 0.228086i | ||||
\(381\) | 1.10990e6 | + | 713293.i | 0.391718 | + | 0.251742i | ||||
\(382\) | −4.98585e6 | − | 5.75398e6i | −1.74816 | − | 2.01748i | ||||
\(383\) | −2.08232e6 | − | 4.55965e6i | −0.725355 | − | 1.58831i | −0.806244 | − | 0.591583i | \(-0.798503\pi\) |
0.0808887 | − | 0.996723i | \(-0.474224\pi\) | |||||||
\(384\) | −173310. | + | 111379.i | −0.0599784 | + | 0.0385458i | ||||
\(385\) | 150423. | + | 44168.1i | 0.0517203 | + | 0.0151865i | ||||
\(386\) | 898506. | − | 1.03693e6i | 0.306939 | − | 0.354227i | ||||
\(387\) | −164830. | + | 48398.5i | −0.0559448 | + | 0.0164269i | ||||
\(388\) | −2.00916e6 | + | 4.39944e6i | −0.677539 | + | 1.48360i | ||||
\(389\) | 698607. | + | 4.85892e6i | 0.234077 | + | 1.62804i | 0.680170 | + | 0.733055i | \(0.261906\pi\) |
−0.446093 | + | 0.894987i | \(0.647185\pi\) | |||||||
\(390\) | 1.04048e7 | 3.46394 | ||||||||
\(391\) | 549480. | + | 491639.i | 0.181765 | + | 0.162631i | ||||
\(392\) | 102984. | 0.0338498 | ||||||||
\(393\) | −556226. | − | 3.86864e6i | −0.181665 | − | 1.26350i | ||||
\(394\) | −567992. | + | 1.24373e6i | −0.184332 | + | 0.403632i | ||||
\(395\) | 3.23530e6 | − | 949969.i | 1.04333 | − | 0.306349i | ||||
\(396\) | −243385. | + | 280881.i | −0.0779931 | + | 0.0900088i | ||||
\(397\) | 7202.53 | + | 2114.85i | 0.00229355 | + | 0.000673448i | 0.282879 | − | 0.959156i | \(-0.408710\pi\) |
−0.280586 | + | 0.959829i | \(0.590529\pi\) | |||||||
\(398\) | 5.73485e6 | − | 3.68557e6i | 1.81474 | − | 1.16626i | ||||
\(399\) | 6945.13 | + | 15207.7i | 0.00218398 | + | 0.00478224i | ||||
\(400\) | 2.66872e6 | + | 3.07987e6i | 0.833976 | + | 0.962459i | ||||
\(401\) | 3.37649e6 | + | 2.16994e6i | 1.04859 | + | 0.673887i | 0.947096 | − | 0.320949i | \(-0.104002\pi\) |
0.101492 | + | 0.994836i | \(0.467638\pi\) | |||||||
\(402\) | −601609. | + | 4.18428e6i | −0.185673 | + | 1.29139i | ||||
\(403\) | −833216. | + | 5.79514e6i | −0.255561 | + | 1.77747i | ||||
\(404\) | −2.95208e6 | − | 1.89719e6i | −0.899860 | − | 0.578305i | ||||
\(405\) | 3.54903e6 | + | 4.09580e6i | 1.07516 | + | 1.24080i | ||||
\(406\) | 96179.1 | + | 210603.i | 0.0289578 | + | 0.0634088i | ||||
\(407\) | −1.82637e6 | + | 1.17374e6i | −0.546517 | + | 0.351225i | ||||
\(408\) | 28058.8 | + | 8238.80i | 0.00834484 | + | 0.00245027i | ||||
\(409\) | 1.75496e6 | − | 2.02533e6i | 0.518751 | − | 0.598671i | −0.434567 | − | 0.900640i | \(-0.643098\pi\) |
0.953318 | + | 0.301969i | \(0.0976439\pi\) | |||||||
\(410\) | −7.96273e6 | + | 2.33807e6i | −2.33939 | + | 0.686906i | ||||
\(411\) | −28894.9 | + | 63271.1i | −0.00843757 | + | 0.0184757i | ||||
\(412\) | 737298. | + | 5.12802e6i | 0.213993 | + | 1.48836i | ||||
\(413\) | 156786. | 0.0452306 | ||||||||
\(414\) | −482776. | + | 211265.i | −0.138435 | + | 0.0605796i | ||||
\(415\) | 2.97987e6 | 0.849332 | ||||||||
\(416\) | −1.10305e6 | − | 7.67188e6i | −0.312508 | − | 2.17354i | ||||
\(417\) | 481684. | − | 1.05474e6i | 0.135651 | − | 0.297034i | ||||
\(418\) | −862112. | + | 253139.i | −0.241336 | + | 0.0708628i | ||||
\(419\) | 814616. | − | 940117.i | 0.226682 | − | 0.261605i | −0.631003 | − | 0.775781i | \(-0.717356\pi\) |
0.857685 | + | 0.514175i | \(0.171902\pi\) | |||||||
\(420\) | −169147. | − | 49666.1i | −0.0467887 | − | 0.0137384i | ||||
\(421\) | −3.73111e6 | + | 2.39784e6i | −1.02597 | + | 0.659348i | −0.941477 | − | 0.337077i | \(-0.890562\pi\) |
−0.0844881 | + | 0.996424i | \(0.526926\pi\) | |||||||
\(422\) | 746836. | + | 1.63534e6i | 0.204148 | + | 0.447021i | ||||
\(423\) | −199390. | − | 230108.i | −0.0541817 | − | 0.0625290i | ||||
\(424\) | 111705. | + | 71788.6i | 0.0301758 | + | 0.0193928i | ||||
\(425\) | 160820. | − | 1.11853e6i | 0.0431886 | − | 0.300383i | ||||
\(426\) | −331884. | + | 2.30831e6i | −0.0886059 | + | 0.616267i | ||||
\(427\) | −192652. | − | 123810.i | −0.0511334 | − | 0.0328615i | ||||
\(428\) | −548328. | − | 632804.i | −0.144688 | − | 0.166978i | ||||
\(429\) | 2.95715e6 | + | 6.47527e6i | 0.775766 | + | 1.69869i | ||||
\(430\) | 3.68404e6 | − | 2.36759e6i | 0.960844 | − | 0.617497i | ||||
\(431\) | −6.01125e6 | − | 1.76506e6i | −1.55873 | − | 0.457685i | −0.615037 | − | 0.788499i | \(-0.710859\pi\) |
−0.943696 | + | 0.330813i | \(0.892677\pi\) | |||||||
\(432\) | 2.44195e6 | − | 2.81816e6i | 0.629545 | − | 0.726534i | ||||
\(433\) | −1.50427e6 | + | 441694.i | −0.385573 | + | 0.113214i | −0.468774 | − | 0.883318i | \(-0.655304\pi\) |
0.0832005 | + | 0.996533i | \(0.473486\pi\) | |||||||
\(434\) | 83433.5 | − | 182694.i | 0.0212626 | − | 0.0465586i | ||||
\(435\) | −1.38546e6 | − | 9.63606e6i | −0.351051 | − | 2.44161i | ||||
\(436\) | −132967. | −0.0334988 | ||||||||
\(437\) | −621321. | − | 99439.9i | −0.155637 | − | 0.0249090i | ||||
\(438\) | −986962. | −0.245819 | ||||||||
\(439\) | 483683. | + | 3.36409e6i | 0.119784 | + | 0.833118i | 0.957793 | + | 0.287460i | \(0.0928109\pi\) |
−0.838008 | + | 0.545657i | \(0.816280\pi\) | |||||||
\(440\) | −97215.6 | + | 212872.i | −0.0239389 | + | 0.0524189i | ||||
\(441\) | 420834. | − | 123568.i | 0.103042 | − | 0.0302559i | ||||
\(442\) | −1.44139e6 | + | 1.66345e6i | −0.350934 | + | 0.404999i | ||||
\(443\) | −3.91180e6 | − | 1.14861e6i | −0.947039 | − | 0.278076i | −0.228485 | − | 0.973547i | \(-0.573377\pi\) |
−0.718553 | + | 0.695472i | \(0.755195\pi\) | |||||||
\(444\) | 2.05372e6 | − | 1.31984e6i | 0.494406 | − | 0.317735i | ||||
\(445\) | −2.72136e6 | − | 5.95894e6i | −0.651456 | − | 1.42649i | ||||
\(446\) | 4.64104e6 | + | 5.35605e6i | 1.10479 | + | 1.27499i | ||||
\(447\) | −4.93129e6 | − | 3.16915e6i | −1.16732 | − | 0.750194i | ||||
\(448\) | −18227.1 | + | 126772.i | −0.00429064 | + | 0.0298420i | ||||
\(449\) | 172172. | − | 1.19748e6i | 0.0403039 | − | 0.280320i | −0.959696 | − | 0.281041i | \(-0.909320\pi\) |
1.00000 | 0.000721050i | \(0.000229517\pi\) | ||||||||
\(450\) | 679447. | + | 436654.i | 0.158170 | + | 0.101650i | ||||
\(451\) | −3.71816e6 | − | 4.29099e6i | −0.860770 | − | 0.993381i | ||||
\(452\) | 1.76890e6 | + | 3.87336e6i | 0.407247 | + | 0.891747i | ||||
\(453\) | 637504. | − | 409699.i | 0.145961 | − | 0.0938035i | ||||
\(454\) | −3.98173e6 | − | 1.16914e6i | −0.906634 | − | 0.266212i | ||||
\(455\) | −214627. | + | 247693.i | −0.0486022 | + | 0.0560899i | ||||
\(456\) | −23945.4 | + | 7031.01i | −0.00539275 | + | 0.00158345i | ||||
\(457\) | 2.29279e6 | − | 5.02052e6i | 0.513540 | − | 1.12450i | −0.458287 | − | 0.888804i | \(-0.651537\pi\) |
0.971828 | − | 0.235692i | \(-0.0757358\pi\) | |||||||
\(458\) | −126270. | − | 878227.i | −0.0281279 | − | 0.195634i | ||||
\(459\) | −1.03401e6 | −0.229083 | ||||||||
\(460\) | 5.08275e6 | − | 4.26464e6i | 1.11997 | − | 0.939698i | ||||
\(461\) | 6.52844e6 | 1.43073 | 0.715364 | − | 0.698752i | \(-0.246261\pi\) | ||||
0.715364 | + | 0.698752i | \(0.246261\pi\) | |||||||
\(462\) | −34753.1 | − | 241713.i | −0.00757510 | − | 0.0526860i | ||||
\(463\) | 749138. | − | 1.64038e6i | 0.162409 | − | 0.355626i | −0.810879 | − | 0.585214i | \(-0.801011\pi\) |
0.973288 | + | 0.229588i | \(0.0737379\pi\) | |||||||
\(464\) | −7.12602e6 | + | 2.09239e6i | −1.53657 | + | 0.451177i | ||||
\(465\) | −5.53033e6 | + | 6.38234e6i | −1.18609 | + | 1.36882i | ||||
\(466\) | 1.30324e6 | + | 382667.i | 0.278010 | + | 0.0816312i | ||||
\(467\) | 1.73315e6 | − | 1.11383e6i | 0.367743 | − | 0.236334i | −0.343697 | − | 0.939080i | \(-0.611679\pi\) |
0.711440 | + | 0.702746i | \(0.248043\pi\) | |||||||
\(468\) | −322768. | − | 706764.i | −0.0681203 | − | 0.149163i | ||||
\(469\) | −87199.9 | − | 100634.i | −0.0183056 | − | 0.0211258i | ||||
\(470\) | 6.52955e6 | + | 4.19629e6i | 1.36345 | + | 0.876235i | ||||
\(471\) | −129966. | + | 903937.i | −0.0269947 | + | 0.187753i | ||||
\(472\) | −33307.3 | + | 231658.i | −0.00688153 | + | 0.0478621i | ||||
\(473\) | 2.52048e6 | + | 1.61981e6i | 0.518001 | + | 0.332899i | ||||
\(474\) | −3.43948e6 | − | 3.96937e6i | −0.703149 | − | 0.811477i | ||||
\(475\) | 400615. | + | 877224.i | 0.0814691 | + | 0.178392i | ||||
\(476\) | 31372.5 | − | 20161.9i | 0.00634646 | − | 0.00407862i | ||||
\(477\) | 542609. | + | 159324.i | 0.109192 | + | 0.0320617i | ||||
\(478\) | −1.45960e6 | + | 1.68447e6i | −0.292189 | + | 0.337204i | ||||
\(479\) | 6.71011e6 | − | 1.97027e6i | 1.33626 | − | 0.392361i | 0.465926 | − | 0.884824i | \(-0.345721\pi\) |
0.870334 | + | 0.492462i | \(0.163903\pi\) | |||||||
\(480\) | 4.64432e6 | − | 1.01696e7i | 0.920066 | − | 2.01466i | ||||
\(481\) | −645917. | − | 4.49245e6i | −0.127296 | − | 0.885361i | ||||
\(482\) | 389257. | 0.0763166 | ||||||||
\(483\) | 50782.8 | − | 163299.i | 0.00990486 | − | 0.0318505i | ||||
\(484\) | 1.45255e6 | 0.281850 | ||||||||
\(485\) | 1.84582e6 | + | 1.28380e7i | 0.356316 | + | 2.47823i | ||||
\(486\) | 650986. | − | 1.42546e6i | 0.125020 | − | 0.273757i | ||||
\(487\) | 5.29408e6 | − | 1.55448e6i | 1.01151 | − | 0.297005i | 0.266336 | − | 0.963880i | \(-0.414187\pi\) |
0.745169 | + | 0.666875i | \(0.232369\pi\) | |||||||
\(488\) | 223861. | − | 258350.i | 0.0425529 | − | 0.0491087i | ||||
\(489\) | −5.10546e6 | − | 1.49910e6i | −0.965524 | − | 0.283503i | ||||
\(490\) | −9.40584e6 | + | 6.04477e6i | −1.76973 | + | 1.13734i | ||||
\(491\) | −375309. | − | 821812.i | −0.0702563 | − | 0.153840i | 0.871246 | − | 0.490847i | \(-0.163313\pi\) |
−0.941502 | + | 0.337007i | \(0.890585\pi\) | |||||||
\(492\) | 4.18100e6 | + | 4.82513e6i | 0.778695 | + | 0.898662i | ||||
\(493\) | 1.73248e6 | + | 1.11340e6i | 0.321034 | + | 0.206316i | ||||
\(494\) | 267323. | − | 1.85927e6i | 0.0492854 | − | 0.342788i | ||||
\(495\) | −141841. | + | 986527.i | −0.0260189 | + | 0.180966i | ||||
\(496\) | 5.41991e6 | + | 3.48316e6i | 0.989208 | + | 0.635725i | ||||
\(497\) | −48104.7 | − | 55515.8i | −0.00873568 | − | 0.0100815i | ||||
\(498\) | −1.92820e6 | − | 4.22217e6i | −0.348400 | − | 0.762890i | ||||
\(499\) | −5.20716e6 | + | 3.34644e6i | −0.936160 | + | 0.601633i | −0.917303 | − | 0.398189i | \(-0.869639\pi\) |
−0.0188562 | + | 0.999822i | \(0.506002\pi\) | |||||||
\(500\) | −1.91528e6 | − | 562378.i | −0.342616 | − | 0.100601i | ||||
\(501\) | 1.00033e6 | − | 1.15444e6i | 0.178053 | − | 0.205484i | ||||
\(502\) | −645358. | + | 189494.i | −0.114299 | + | 0.0335611i | ||||
\(503\) | −3.72345e6 | + | 8.15323e6i | −0.656184 | + | 1.43684i | 0.229851 | + | 0.973226i | \(0.426176\pi\) |
−0.886035 | + | 0.463618i | \(0.846551\pi\) | |||||||
\(504\) | −93.6952 | − | 651.664i | −1.64301e−5 | − | 0.000114274i | ||||
\(505\) | −9.41041e6 | −1.64203 | ||||||||
\(506\) | 8.29848e6 | + | 3.95044e6i | 1.44086 | + | 0.685913i | ||||
\(507\) | −8.79076e6 | −1.51882 | ||||||||
\(508\) | 357427. | + | 2.48596e6i | 0.0614508 | + | 0.427400i | ||||
\(509\) | 4.76567e6 | − | 1.04354e7i | 0.815323 | − | 1.78531i | 0.232734 | − | 0.972540i | \(-0.425233\pi\) |
0.582588 | − | 0.812767i | \(-0.302040\pi\) | |||||||
\(510\) | −3.04627e6 | + | 894466.i | −0.518613 | + | 0.152278i | ||||
\(511\) | 20358.8 | − | 23495.3i | 0.00344905 | − | 0.00398042i | ||||
\(512\) | −7.98622e6 | − | 2.34496e6i | −1.34638 | − | 0.395331i | ||||
\(513\) | 742343. | − | 477075.i | 0.124541 | − | 0.0800375i | ||||
\(514\) | 1.81221e6 | + | 3.96819e6i | 0.302553 | + | 0.662499i | ||||
\(515\) | 9.09807e6 | + | 1.04997e7i | 1.51158 | + | 1.74446i | ||||
\(516\) | −2.83423e6 | − | 1.82145e6i | −0.468609 | − | 0.301157i | ||||
\(517\) | −755729. | + | 5.25621e6i | −0.124348 | + | 0.864861i | ||||
\(518\) | −22157.8 | + | 154111.i | −0.00362830 | + | 0.0252354i | ||||
\(519\) | −7.22824e6 | − | 4.64531e6i | −1.17792 | − | 0.757000i | ||||
\(520\) | −320381. | − | 369739.i | −0.0519587 | − | 0.0599635i | ||||
\(521\) | 1.62170e6 | + | 3.55103e6i | 0.261744 | + | 0.573138i | 0.994184 | − | 0.107692i | \(-0.0343462\pi\) |
−0.732441 | + | 0.680831i | \(0.761619\pi\) | |||||||
\(522\) | −1.23824e6 | + | 795772.i | −0.198898 | + | 0.127824i | ||||
\(523\) | 5.27991e6 | + | 1.55032e6i | 0.844058 | + | 0.247838i | 0.675046 | − | 0.737776i | \(-0.264124\pi\) |
0.169013 | + | 0.985614i | \(0.445942\pi\) | |||||||
\(524\) | 4.87224e6 | − | 5.62286e6i | 0.775176 | − | 0.894600i | ||||
\(525\) | −251482. | + | 73841.9i | −0.0398208 | + | 0.0116924i | ||||
\(526\) | 3.29443e6 | − | 7.21380e6i | 0.519178 | − | 1.13684i | ||||
\(527\) | −254245. | − | 1.76831e6i | −0.0398773 | − | 0.277352i | ||||
\(528\) | 7.83339e6 | 1.22283 | ||||||||
\(529\) | 4.05812e6 | + | 4.99582e6i | 0.630500 | + | 0.776189i | ||||
\(530\) | −1.44161e7 | −2.22924 | ||||||||
\(531\) | 141853. | + | 986609.i | 0.0218324 | + | 0.151848i | ||||
\(532\) | −13220.8 | + | 28949.5i | −0.00202525 | + | 0.00443468i | ||||
\(533\) | 1.13890e7 | − | 3.34411e6i | 1.73647 | − | 0.509873i | ||||
\(534\) | −6.68227e6 | + | 7.71175e6i | −1.01408 | + | 1.17031i | ||||
\(535\) | −2.15447e6 | − | 632610.i | −0.325429 | − | 0.0955546i | ||||
\(536\) | 167215. | − | 107463.i | 0.0251399 | − | 0.0161565i | ||||
\(537\) | 3.56489e6 | + | 7.80601e6i | 0.533470 | + | 1.16814i | ||||
\(538\) | −6.97846e6 | − | 8.05357e6i | −1.03945 | − | 1.19959i | ||||
\(539\) | −6.43513e6 | − | 4.13560e6i | −0.954081 | − | 0.613151i | ||||
\(540\) | −1.32420e6 | + | 9.21000e6i | −0.195420 | + | 1.35917i | ||||
\(541\) | 1.82079e6 | − | 1.26639e7i | 0.267464 | − | 1.86026i | −0.204806 | − | 0.978803i | \(-0.565656\pi\) |
0.472271 | − | 0.881453i | \(-0.343434\pi\) | |||||||
\(542\) | −725097. | − | 465992.i | −0.106023 | − | 0.0681365i | ||||
\(543\) | 3.01143e6 | + | 3.47538e6i | 0.438302 | + | 0.505828i | ||||
\(544\) | 982475. | + | 2.15132e6i | 0.142339 | + | 0.311679i | ||||
\(545\) | −299971. | + | 192780.i | −0.0432601 | + | 0.0278016i | ||||
\(546\) | 489834. | + | 143828.i | 0.0703181 | + | 0.0206472i | ||||
\(547\) | 4.80906e6 | − | 5.54995e6i | 0.687213 | − | 0.793086i | −0.299753 | − | 0.954017i | \(-0.596904\pi\) |
0.986966 | + | 0.160931i | \(0.0514496\pi\) | |||||||
\(548\) | −127046. | + | 37303.9i | −0.0180721 | + | 0.00530644i | ||||
\(549\) | 604799. | − | 1.32432e6i | 0.0856407 | − | 0.187527i | ||||
\(550\) | −2.00466e6 | − | 1.39427e7i | −0.282575 | − | 1.96535i | ||||
\(551\) | −1.75750e6 | −0.246613 | ||||||||
\(552\) | 230493. | + | 109725.i | 0.0321966 | + | 0.0153270i | ||||
\(553\) | 165442. | 0.0230056 | ||||||||
\(554\) | −797472. | − | 5.54654e6i | −0.110393 | − | 0.767799i | ||||
\(555\) | 2.71959e6 | − | 5.95507e6i | 0.374775 | − | 0.820644i | ||||
\(556\) | 2.11787e6 | − | 621864.i | 0.290545 | − | 0.0853116i | ||||
\(557\) | −3.23243e6 | + | 3.73042e6i | −0.441460 | + | 0.509472i | −0.932254 | − | 0.361804i | \(-0.882161\pi\) |
0.490795 | + | 0.871275i | \(0.336707\pi\) | |||||||
\(558\) | 1.22513e6 | + | 359730.i | 0.166570 | + | 0.0489092i | ||||
\(559\) | −5.26923e6 | + | 3.38633e6i | −0.713210 | + | 0.458352i | ||||
\(560\) | 149822. | + | 328064.i | 0.0201885 | + | 0.0442067i | ||||
\(561\) | −1.42244e6 | − | 1.64159e6i | −0.190822 | − | 0.220220i | ||||
\(562\) | 6.91898e6 | + | 4.44656e6i | 0.924062 | + | 0.593859i | ||||
\(563\) | −1.67763e6 | + | 1.16682e7i | −0.223062 | + | 1.55143i | 0.503295 | + | 0.864114i | \(0.332121\pi\) |
−0.726358 | + | 0.687317i | \(0.758788\pi\) | |||||||
\(564\) | 849801. | − | 5.91050e6i | 0.112491 | − | 0.782396i | ||||
\(565\) | 9.60630e6 | + | 6.17359e6i | 1.26600 | + | 0.813611i | ||||
\(566\) | −5.97416e6 | − | 6.89455e6i | −0.783855 | − | 0.904617i | ||||
\(567\) | 110463. | + | 241881.i | 0.0144298 | + | 0.0315968i | ||||
\(568\) | 92246.2 | − | 59283.0i | 0.0119971 | − | 0.00771009i | ||||
\(569\) | −2.28222e6 | − | 670120.i | −0.295513 | − | 0.0867705i | 0.130615 | − | 0.991433i | \(-0.458305\pi\) |
−0.426129 | + | 0.904663i | \(0.640123\pi\) | |||||||
\(570\) | 1.77431e6 | − | 2.04766e6i | 0.228740 | − | 0.263980i | ||||
\(571\) | 1.20499e7 | − | 3.53818e6i | 1.54666 | − | 0.454139i | 0.606557 | − | 0.795040i | \(-0.292550\pi\) |
0.940099 | + | 0.340901i | \(0.110732\pi\) | |||||||
\(572\) | −5.62927e6 | + | 1.23264e7i | −0.719386 | + | 1.57524i | ||||
\(573\) | 2.23542e6 | + | 1.55477e7i | 0.284428 | + | 1.97824i | ||||
\(574\) | −407187. | −0.0515840 | ||||||||
\(575\) | 2.92930e6 | − | 9.41955e6i | 0.369482 | − | 1.18812i | ||||
\(576\) | −814231. | −0.102257 | ||||||||
\(577\) | −1.29254e6 | − | 8.98984e6i | −0.161624 | − | 1.12412i | −0.895573 | − | 0.444915i | \(-0.853234\pi\) |
0.733949 | − | 0.679204i | \(-0.237675\pi\) | |||||||
\(578\) | −4.41111e6 | + | 9.65899e6i | −0.549198 | + | 1.20258i | ||||
\(579\) | −2.71601e6 | + | 797493.i | −0.336694 | + | 0.0988623i | ||||
\(580\) | 1.21358e7 | − | 1.40055e7i | 1.49796 | − | 1.72874i | ||||
\(581\) | 140286. | + | 41191.6i | 0.0172414 | + | 0.00506254i | ||||
\(582\) | 1.69956e7 | − | 1.09224e7i | 2.07984 | − | 1.33663i | ||||
\(583\) | −4.09721e6 | − | 8.97164e6i | −0.499249 | − | 1.09320i | ||||
\(584\) | 30390.3 | + | 35072.2i | 0.00368725 | + | 0.00425531i | ||||
\(585\) | −1.75284e6 | − | 1.12648e6i | −0.211765 | − | 0.136093i | ||||
\(586\) | 67204.8 | − | 467420.i | 0.00808456 | − | 0.0562294i | ||||
\(587\) | 31726.9 | − | 220666.i | 0.00380043 | − | 0.0264326i | −0.987833 | − | 0.155518i | \(-0.950295\pi\) |
0.991633 | + | 0.129086i | \(0.0412043\pi\) | |||||||
\(588\) | 7.23617e6 | + | 4.65040e6i | 0.863108 | + | 0.554686i | ||||
\(589\) | 998399. | + | 1.15221e6i | 0.118581 | + | 0.136850i | ||||
\(590\) | −1.05553e7 | − | 2.31130e7i | −1.24837 | − | 2.73354i | ||||
\(591\) | 2.37304e6 | − | 1.52506e6i | 0.279471 | − | 0.179605i | ||||
\(592\) | −4.79210e6 | − | 1.40709e6i | −0.561981 | − | 0.165012i | ||||
\(593\) | −1.05927e7 | + | 1.22247e7i | −1.23701 | + | 1.42758i | −0.370186 | + | 0.928958i | \(0.620706\pi\) |
−0.866819 | + | 0.498622i | \(0.833839\pi\) | |||||||
\(594\) | −1.23670e7 | + | 3.63128e6i | −1.43813 | + | 0.422273i | ||||
\(595\) | 41544.3 | − | 90969.4i | 0.00481082 | − | 0.0105342i | ||||
\(596\) | −1.58804e6 | − | 1.10451e7i | −0.183124 | − | 1.27366i | ||||
\(597\) | −1.40642e7 | −1.61502 | ||||||||
\(598\) | −1.47192e7 | + | 1.23500e7i | −1.68318 | + | 1.41226i | ||||
\(599\) | 7.38005e6 | 0.840412 | 0.420206 | − | 0.907429i | \(-0.361958\pi\) | ||||
0.420206 | + | 0.907429i | \(0.361958\pi\) | |||||||
\(600\) | −55679.9 | − | 387262.i | −0.00631423 | − | 0.0439164i | ||||
\(601\) | −584497. | + | 1.27987e6i | −0.0660079 | + | 0.144537i | −0.939761 | − | 0.341833i | \(-0.888952\pi\) |
0.873753 | + | 0.486370i | \(0.161679\pi\) | |||||||
\(602\) | 206164. | − | 60535.2i | 0.0231858 | − | 0.00680796i | ||||
\(603\) | 554366. | − | 639773.i | 0.0620874 | − | 0.0716527i | ||||
\(604\) | 1.38413e6 | + | 406416.i | 0.154377 | + | 0.0453293i | ||||
\(605\) | 3.27692e6 | − | 2.10595e6i | 0.363980 | − | 0.233916i | ||||
\(606\) | 6.08923e6 | + | 1.33336e7i | 0.673567 | + | 1.47491i | ||||
\(607\) | 874067. | + | 1.00873e6i | 0.0962882 | + | 0.111122i | 0.801849 | − | 0.597527i | \(-0.203850\pi\) |
−0.705560 | + | 0.708650i | \(0.749305\pi\) | |||||||
\(608\) | −1.69793e6 | − | 1.09119e6i | −0.186278 | − | 0.119713i | ||||
\(609\) | 67977.8 | − | 472796.i | 0.00742718 | − | 0.0516572i | ||||
\(610\) | −5.28178e6 | + | 3.67356e7i | −0.574720 | + | 3.99726i | ||||
\(611\) | −9.33913e6 | − | 6.00189e6i | −1.01205 | − | 0.650407i | ||||
\(612\) | 155257. | + | 179176.i | 0.0167561 | + | 0.0193376i | ||||
\(613\) | 1.47660e6 | + | 3.23330e6i | 0.158713 | + | 0.347532i | 0.972237 | − | 0.233999i | \(-0.0751812\pi\) |
−0.813524 | + | 0.581531i | \(0.802454\pi\) | |||||||
\(614\) | 3.45722e6 | − | 2.22182e6i | 0.370089 | − | 0.237842i | ||||
\(615\) | 1.64278e7 | + | 4.82364e6i | 1.75143 | + | 0.514266i | ||||
\(616\) | −7519.29 | + | 8677.73i | −0.000798409 | + | 0.000921413i | ||||
\(617\) | −1.60974e7 | + | 4.72662e6i | −1.70233 | + | 0.499848i | −0.981206 | − | 0.192963i | \(-0.938190\pi\) |
−0.721119 | + | 0.692811i | \(0.756372\pi\) | |||||||
\(618\) | 8.98989e6 | − | 1.96851e7i | 0.946854 | − | 2.07332i | ||||
\(619\) | 1.04612e6 | + | 7.27595e6i | 0.109738 | + | 0.763244i | 0.968166 | + | 0.250310i | \(0.0805324\pi\) |
−0.858428 | + | 0.512934i | \(0.828559\pi\) | |||||||
\(620\) | −1.60761e7 | −1.67958 | ||||||||
\(621\) | −8.91286e6 | − | 1.42647e6i | −0.927444 | − | 0.148434i | ||||
\(622\) | 1.88940e7 | 1.95816 | ||||||||
\(623\) | −45743.3 | − | 318152.i | −0.00472180 | − | 0.0328408i | ||||
\(624\) | −6.80292e6 | + | 1.48963e7i | −0.699414 | + | 1.53150i | ||||
\(625\) | 6.52247e6 | − | 1.91517e6i | 0.667901 | − | 0.196113i | ||||
\(626\) | 3.21533e6 | − | 3.71069e6i | 0.327937 | − | 0.378459i | ||||
\(627\) | 1.77861e6 | + | 522248.i | 0.180681 | + | 0.0530528i | ||||
\(628\) | −1.46247e6 | + | 939870.i | −0.147975 | + | 0.0950975i | ||||
\(629\) | 575311. | + | 1.25976e6i | 0.0579797 | + | 0.126958i | ||||
\(630\) | 46807.6 | + | 54018.8i | 0.00469856 | + | 0.00542243i | ||||
\(631\) | −8.33491e6 | − | 5.35652e6i | −0.833350 | − | 0.535562i | 0.0529905 | − | 0.998595i | \(-0.483125\pi\) |
−0.886341 | + | 0.463033i | \(0.846761\pi\) | |||||||
\(632\) | −35146.3 | + | 244448.i | −0.00350015 | + | 0.0243441i | ||||
\(633\) | 527851. | − | 3.67129e6i | 0.0523603 | − | 0.364174i | ||||
\(634\) | 8.84805e6 | + | 5.68630e6i | 0.874228 | + | 0.561832i | ||||
\(635\) | 4.41055e6 | + | 5.09005e6i | 0.434069 | + | 0.500942i | ||||
\(636\) | 4.60723e6 | + | 1.00884e7i | 0.451645 | + | 0.988964i | ||||
\(637\) | 1.34531e7 | − | 8.64575e6i | 1.31363 | − | 0.844217i | ||||
\(638\) | 2.46310e7 | + | 7.23232e6i | 2.39569 | + | 0.703438i | ||||
\(639\) | 305822. | − | 352937.i | 0.0296290 | − | 0.0341937i | ||||
\(640\) | −1.00907e6 | + | 296291.i | −0.0973807 | + | 0.0285936i | ||||
\(641\) | −5.33723e6 | + | 1.16869e7i | −0.513063 | + | 1.12345i | 0.458937 | + | 0.888469i | \(0.348231\pi\) |
−0.972000 | + | 0.234982i | \(0.924497\pi\) | |||||||
\(642\) | 497761. | + | 3.46200e6i | 0.0476632 | + | 0.331505i | ||||
\(643\) | −1.47551e7 | −1.40739 | −0.703694 | − | 0.710503i | \(-0.748467\pi\) | ||||
−0.703694 | + | 0.710503i | \(0.748467\pi\) | |||||||
\(644\) | 298236. | − | 130510.i | 0.0283365 | − | 0.0124002i | ||||
\(645\) | −9.03473e6 | −0.855098 | ||||||||
\(646\) | 81570.0 | + | 567331.i | 0.00769040 | + | 0.0534879i | ||||
\(647\) | 4.25314e6 | − | 9.31308e6i | 0.399438 | − | 0.874646i | −0.597889 | − | 0.801579i | \(-0.703994\pi\) |
0.997327 | − | 0.0730677i | \(-0.0232789\pi\) | |||||||
\(648\) | −380855. | + | 111829.i | −0.0356305 | + | 0.0104621i | ||||
\(649\) | 1.13841e7 | − | 1.31379e7i | 1.06093 | − | 1.22438i | ||||
\(650\) | 2.82550e7 | + | 8.29642e6i | 2.62308 | + | 0.770207i | ||||
\(651\) | −348581. | + | 224019.i | −0.0322367 | + | 0.0207173i | ||||
\(652\) | −4.20778e6 | − | 9.21376e6i | −0.387645 | − | 0.848825i | ||||
\(653\) | −6.62788e6 | − | 7.64898e6i | −0.608263 | − | 0.701973i | 0.365171 | − | 0.930940i | \(-0.381011\pi\) |
−0.973434 | + | 0.228967i | \(0.926465\pi\) | |||||||
\(654\) | 467252. | + | 300284.i | 0.0427176 | + | 0.0274529i | ||||
\(655\) | 2.83947e6 | − | 1.97489e7i | 0.258603 | − | 1.79862i | ||||
\(656\) | 1.85888e6 | − | 1.29288e7i | 0.168652 | − | 1.17300i | ||||
\(657\) | 166269. | + | 106854.i | 0.0150279 | + | 0.00965782i | ||||
\(658\) | 249390. | + | 287812.i | 0.0224551 | + | 0.0259146i | ||||
\(659\) | −1.38131e6 | − | 3.02464e6i | −0.123902 | − | 0.271306i | 0.837509 | − | 0.546423i | \(-0.184011\pi\) |
−0.961411 | + | 0.275116i | \(0.911284\pi\) | |||||||
\(660\) | −1.64434e7 | + | 1.05675e7i | −1.46937 | + | 0.944308i | ||||
\(661\) | −6.00222e6 | − | 1.76241e6i | −0.534328 | − | 0.156893i | 0.00342674 | − | 0.999994i | \(-0.498909\pi\) |
−0.537755 | + | 0.843101i | \(0.680727\pi\) | |||||||
\(662\) | −7.62262e6 | + | 8.79697e6i | −0.676019 | + | 0.780168i | ||||
\(663\) | 4.35704e6 | − | 1.27934e6i | 0.384953 | − | 0.113032i | ||||
\(664\) | −90664.4 | + | 198527.i | −0.00798025 | + | 0.0174743i | ||||
\(665\) | 12146.0 | + | 84477.3i | 0.00106507 | + | 0.00740774i | ||||
\(666\) | −989825. | −0.0864714 | ||||||||
\(667\) | 1.33975e7 | + | 1.19872e7i | 1.16603 | + | 1.04329i | ||||
\(668\) | 2.90785e6 | 0.252134 | ||||||||
\(669\) | −2.08082e6 | − | 1.44724e7i | −0.179750 | − | 1.25019i | ||||
\(670\) | −8.96462e6 | + | 1.96298e7i | −0.771516 | + | 1.68938i | ||||
\(671\) | −2.43630e7 | + | 7.15363e6i | −2.08894 | + | 0.613367i | ||||
\(672\) | 359222. | − | 414564.i | 0.0306860 | − | 0.0354135i | ||||
\(673\) | −7.90569e6 | − | 2.32132e6i | −0.672825 | − | 0.197559i | −0.0725644 | − | 0.997364i | \(-0.523118\pi\) |
−0.600261 | + | 0.799804i | \(0.704936\pi\) | |||||||
\(674\) | 1.45629e7 | − | 9.35902e6i | 1.23481 | − | 0.793562i | ||||
\(675\) | 5.74683e6 | + | 1.25838e7i | 0.485477 | + | 1.06305i | ||||
\(676\) | −1.09586e7 | − | 1.26468e7i | −0.922331 | − | 1.06443i | ||||
\(677\) | −988119. | − | 635026.i | −0.0828586 | − | 0.0532500i | 0.498556 | − | 0.866858i | \(-0.333864\pi\) |
−0.581414 | + | 0.813608i | \(0.697500\pi\) | |||||||
\(678\) | 2.53134e6 | − | 1.76059e7i | 0.211484 | − | 1.47090i | ||||
\(679\) | −90565.6 | + | 629898.i | −0.00753857 | + | 0.0524319i | ||||
\(680\) | 125585. | + | 80708.8i | 0.0104152 | + | 0.00669343i | ||||
\(681\) | 5.60656e6 | + | 6.47032e6i | 0.463264 | + | 0.534636i | ||||
\(682\) | −9.25087e6 | − | 2.02566e7i | −0.761591 | − | 1.66765i | ||||
\(683\) | −3.10602e6 | + | 1.99612e6i | −0.254773 | + | 0.163733i | −0.661793 | − | 0.749687i | \(-0.730204\pi\) |
0.407020 | + | 0.913419i | \(0.366568\pi\) | |||||||
\(684\) | −194133. | − | 57002.5i | −0.0158657 | − | 0.00465858i | ||||
\(685\) | −232527. | + | 268351.i | −0.0189342 | + | 0.0218512i | ||||
\(686\) | −1.05326e6 | + | 309265.i | −0.0854525 | + | 0.0250911i | ||||
\(687\) | −760415. | + | 1.66508e6i | −0.0614693 | + | 0.134599i | ||||
\(688\) | 980907. | + | 6.82236e6i | 0.0790054 | + | 0.549495i | ||||
\(689\) | 2.06191e7 | 1.65471 | ||||||||
\(690\) | −2.74920e7 | + | 3.50756e6i | −2.19828 | + | 0.280467i | ||||
\(691\) | −1.95646e7 | −1.55875 | −0.779373 | − | 0.626561i | \(-0.784462\pi\) | ||||
−0.779373 | + | 0.626561i | \(0.784462\pi\) | |||||||
\(692\) | −2.32774e6 | − | 1.61898e7i | −0.184786 | − | 1.28521i | ||||
\(693\) | −20314.6 | + | 44482.8i | −0.00160685 | + | 0.00351851i | ||||
\(694\) | 3.79319e6 | − | 1.11378e6i | 0.298955 | − | 0.0877812i | ||||
\(695\) | 3.87627e6 | − | 4.47346e6i | 0.304405 | − | 0.351303i | ||||
\(696\) | 684134. | + | 200880.i | 0.0535326 | + | 0.0157186i | ||||
\(697\) | −3.04694e6 | + | 1.95815e6i | −0.237565 | + | 0.152674i | ||||
\(698\) | −3.28478e6 | − | 7.19267e6i | −0.255192 | − | 0.558794i | ||||
\(699\) | −1.83506e6 | − | 2.11778e6i | −0.142056 | − | 0.163941i | ||||
\(700\) | −419731. | − | 269745.i | −0.0323762 | − | 0.0208069i | ||||
\(701\) | −1.54259e6 | + | 1.07290e7i | −0.118565 | + | 0.824636i | 0.840573 | + | 0.541698i | \(0.182218\pi\) |
−0.959138 | + | 0.282938i | \(0.908691\pi\) | |||||||
\(702\) | 3.83475e6 | − | 2.66713e7i | 0.293693 | − | 2.04268i | ||||
\(703\) | −994263. | − | 638974.i | −0.0758775 | − | 0.0487635i | ||||
\(704\) | 9.29946e6 | + | 1.07321e7i | 0.707173 | + | 0.816122i | ||||
\(705\) | −6.65207e6 | − | 1.45660e7i | −0.504062 | − | 1.10374i | ||||
\(706\) | 1.49400e6 | − | 960138.i | 0.112808 | − | 0.0724973i | ||||
\(707\) | −443021. | − | 130083.i | −0.0333331 | − | 0.00978749i | ||||
\(708\) | −1.28012e7 | + | 1.47733e7i | −0.959769 | + | 1.10763i | ||||
\(709\) | 1.14925e7 | − | 3.37449e6i | 0.858614 | − | 0.252112i | 0.177348 | − | 0.984148i | \(-0.443248\pi\) |
0.681265 | + | 0.732037i | \(0.261430\pi\) | |||||||
\(710\) | −4.94543e6 | + | 1.08290e7i | −0.368178 | + | 0.806198i | ||||
\(711\) | 149685. | + | 1.04108e6i | 0.0111046 | + | 0.0772344i | ||||
\(712\) | 479800. | 0.0354699 | ||||||||
\(713\) | 247957. | − | 1.55931e7i | 0.0182664 | − | 1.14870i | ||||
\(714\) | −155776. | −0.0114355 | ||||||||
\(715\) | 5.17163e6 | + | 3.59695e7i | 0.378322 | + | 2.63129i | ||||
\(716\) | −6.78615e6 | + | 1.48596e7i | −0.494699 | + | 1.08324i | ||||
\(717\) | 4.41210e6 | − | 1.29551e6i | 0.320514 | − | 0.0941114i | ||||
\(718\) | 1.62953e7 | − | 1.88058e7i | 1.17965 | − | 1.36139i | ||||
\(719\) | 1.83449e7 | + | 5.38655e6i | 1.32341 | + | 0.388587i | 0.865721 | − | 0.500526i | \(-0.166860\pi\) |
0.457686 | + | 0.889114i | \(0.348678\pi\) | |||||||
\(720\) | −1.92886e6 | + | 1.23960e6i | −0.138666 | + | 0.0891151i | ||||
\(721\) | 283176. | + | 620070.i | 0.0202870 | + | 0.0444224i | ||||
\(722\) | 1.25733e7 | + | 1.45103e7i | 0.897646 | + | 1.03594i | ||||
\(723\) | −675587. | − | 434174.i | −0.0480657 | − | 0.0308900i | ||||
\(724\) | −1.24581e6 | + | 8.66481e6i | −0.0883295 | + | 0.614345i | ||||
\(725\) | 3.92115e6 | − | 2.72722e7i | 0.277057 | − | 1.92697i | ||||
\(726\) | −5.10432e6 | − | 3.28035e6i | −0.359415 | − | 0.230982i | ||||
\(727\) | 6.78329e6 | + | 7.82833e6i | 0.475997 | + | 0.549330i | 0.942070 | − | 0.335417i | \(-0.108877\pi\) |
−0.466073 | + | 0.884746i | \(0.654332\pi\) | |||||||
\(728\) | −9971.81 | − | 21835.2i | −0.000697342 | − | 0.00152697i | ||||
\(729\) | 1.05094e7 | − | 6.75400e6i | 0.732420 | − | 0.470698i | ||||
\(730\) | −4.83423e6 | − | 1.41946e6i | −0.335753 | − | 0.0985860i | ||||
\(731\) | 1.25159e6 | − | 1.44442e6i | 0.0866303 | − | 0.0999767i | ||||
\(732\) | 2.73957e7 | − | 8.04412e6i | 1.88975 | − | 0.554882i | ||||
\(733\) | −9.42910e6 | + | 2.06468e7i | −0.648202 | + | 1.41936i | 0.244917 | + | 0.969544i | \(0.421239\pi\) |
−0.893119 | + | 0.449820i | \(0.851488\pi\) | |||||||
\(734\) | −219143. | − | 1.52417e6i | −0.0150137 | − | 0.104423i | ||||
\(735\) | 2.30669e7 | 1.57496 | ||||||||
\(736\) | 5.50080e6 | + | 1.98991e7i | 0.374310 | + | 1.35406i | ||||
\(737\) | −1.47642e7 | −1.00124 | ||||||||
\(738\) | −368405. | − | 2.56231e6i | −0.0248992 | − | 0.173177i | ||||
\(739\) | 3.38997e6 | − | 7.42299e6i | 0.228341 | − | 0.499997i | −0.760433 | − | 0.649417i | \(-0.775013\pi\) |
0.988774 | + | 0.149419i | \(0.0477404\pi\) | |||||||
\(740\) | 1.19575e7 | − | 3.51104e6i | 0.802716 | − | 0.235699i | ||||
\(741\) | −2.53777e6 | + | 2.92875e6i | −0.169788 | + | 0.195946i | ||||
\(742\) | −678676. | − | 199277.i | −0.0452536 | − | 0.0132877i | ||||
\(743\) | 3.23062e6 | − | 2.07619e6i | 0.214691 | − | 0.137973i | −0.428876 | − | 0.903363i | \(-0.641090\pi\) |
0.643567 | + | 0.765390i | \(0.277454\pi\) | |||||||
\(744\) | −256946. | − | 562632.i | −0.0170180 | − | 0.0372642i | ||||
\(745\) | −1.95960e7 | − | 2.26150e7i | −1.29353 | − | 1.49282i | ||||
\(746\) | 1.74759e6 | + | 1.12311e6i | 0.114972 | + | 0.0738881i | ||||
\(747\) | −132283. | + | 920047.i | −0.00867365 | + | 0.0603265i | ||||
\(748\) | 588457. | − | 4.09281e6i | 0.0384557 | − | 0.267465i | ||||
\(749\) | −92683.0 | − | 59563.7i | −0.00603664 | − | 0.00387951i | ||||
\(750\) | 5.46033e6 | + | 6.30156e6i | 0.354459 | + | 0.409067i | ||||
\(751\) | 8.58124e6 | + | 1.87903e7i | 0.555201 | + | 1.21572i | 0.954310 | + | 0.298817i | \(0.0965920\pi\) |
−0.399110 | + | 0.916903i | \(0.630681\pi\) | |||||||
\(752\) | −1.02769e7 | + | 6.60459e6i | −0.662704 | + | 0.425894i | ||||
\(753\) | 1.33143e6 | + | 390943.i | 0.0855719 | + | 0.0251262i | ||||
\(754\) | −3.51442e7 | + | 4.05585e7i | −2.25126 | + | 2.59809i | ||||
\(755\) | 3.71179e6 | − | 1.08988e6i | 0.236982 | − | 0.0695842i | ||||
\(756\) | −189653. | + | 415282.i | −0.0120685 | + | 0.0264264i | ||||
\(757\) | −3.13439e6 | − | 2.18002e7i | −0.198799 | − | 1.38268i | −0.807776 | − | 0.589489i | \(-0.799329\pi\) |
0.608977 | − | 0.793188i | \(-0.291580\pi\) | |||||||
\(758\) | −1.85423e7 | −1.17217 | ||||||||
\(759\) | −9.99641e6 | − | 1.61123e7i | −0.629853 | − | 1.01521i | ||||
\(760\) | −127399. | −0.00800077 | ||||||||
\(761\) | −92105.5 | − | 640608.i | −0.00576533 | − | 0.0400987i | 0.986736 | − | 0.162335i | \(-0.0519025\pi\) |
−0.992501 | + | 0.122236i | \(0.960993\pi\) | |||||||
\(762\) | 4.35811e6 | − | 9.54293e6i | 0.271901 | − | 0.595380i | ||||
\(763\) | −16786.8 | + | 4929.05i | −0.00104390 | + | 0.000306515i | ||||
\(764\) | −1.95810e7 | + | 2.25977e7i | −1.21367 | + | 1.40065i | ||||
\(765\) | 610031. | + | 179121.i | 0.0376876 | + | 0.0110661i | ||||
\(766\) | −3.35312e7 | + | 2.15492e7i | −2.06480 | + | 1.32696i | ||||
\(767\) | 1.50972e7 | + | 3.30582e7i | 0.926631 | + | 2.02904i | ||||
\(768\) | 1.17881e7 | + | 1.36042e7i | 0.721175 | + | 0.832281i | ||||
\(769\) | 1.42719e7 | + | 9.17199e6i | 0.870294 | + | 0.559304i | 0.897843 | − | 0.440317i | \(-0.145134\pi\) |
−0.0275489 | + | 0.999620i | \(0.508770\pi\) | |||||||
\(770\) | 177410. | − | 1.23391e6i | 0.0107833 | − | 0.0749995i | ||||
\(771\) | 1.28084e6 | − | 8.90845e6i | 0.0775996 | − | 0.539717i | ||||
\(772\) | −4.53310e6 | − | 2.91324e6i | −0.273748 | − | 0.175927i | ||||
\(773\) | 1.23750e7 | + | 1.42815e7i | 0.744895 | + | 0.859655i | 0.994063 | − | 0.108806i | \(-0.0347026\pi\) |
−0.249168 | + | 0.968460i | \(0.580157\pi\) | |||||||
\(774\) | 567459. | + | 1.24256e6i | 0.0340472 | + | 0.0745531i | ||||
\(775\) | −2.01071e7 | + | 1.29221e7i | −1.20253 | + | 0.772819i | ||||
\(776\) | −911460. | − | 267629.i | −0.0543354 | − | 0.0159543i | ||||
\(777\) | 210351. | − | 242758.i | 0.0124995 | − | 0.0144252i | ||||
\(778\) | 3.74525e7 | − | 1.09971e7i | 2.21836 | − | 0.651370i | ||||
\(779\) | 1.28403e6 | − | 2.81162e6i | 0.0758106 | − | 0.166002i | ||||
\(780\) | −5.81539e6 | − | 4.04469e7i | −0.342249 | − | 2.38039i | ||||
\(781\) | −8.14481e6 | −0.477808 | ||||||||
\(782\) | 3.24773e6 | − | 4.88115e6i | 0.189917 | − | 0.285434i | ||||
\(783\) | −2.52114e7 | −1.46958 | ||||||||
\(784\) | −2.50439e6 | − | 1.74184e7i | −0.145516 | − | 1.01209i | ||||
\(785\) | −1.93664e6 | + | 4.24065e6i | −0.112169 | + | 0.245617i | ||||
\(786\) | −2.98195e7 | + | 8.75579e6i | −1.72165 | + | 0.505521i | ||||
\(787\) | −9.00060e6 | + | 1.03873e7i | −0.518006 | + | 0.597811i | −0.953131 | − | 0.302559i | \(-0.902159\pi\) |
0.435124 | + | 0.900370i | \(0.356704\pi\) | |||||||
\(788\) | 5.15226e6 | + | 1.51284e6i | 0.295585 | + | 0.0867916i | ||||
\(789\) | −1.37640e7 | + | 8.84556e6i | −0.787138 | + | 0.505863i | ||||
\(790\) | −1.11381e7 | − | 2.43891e7i | −0.634956 | − | 1.39036i | ||||
\(791\) | 366904. | + | 423430.i | 0.0208502 | + | 0.0240625i | ||||
\(792\) | −61409.5 | − | 39465.5i | −0.00347875 | − | 0.00223566i | ||||
\(793\) | 7.55446e6 | − | 5.25425e7i | 0.426600 | − | 2.96707i | ||||
\(794\) | 8494.74 | − | 59082.2i | 0.000478188 | − | 0.00332587i | ||||
\(795\) | 2.50203e7 | + | 1.60795e7i | 1.40402 | + | 0.902310i | ||||
\(796\) | −1.75324e7 | − | 2.02334e7i | −0.980749 | − | 1.13184i | ||||
\(797\) | 5.75233e6 | + | 1.25958e7i | 0.320773 | + | 0.702395i | 0.999488 | − | 0.0320069i | \(-0.0101898\pi\) |
−0.678714 | + | 0.734402i | \(0.737463\pi\) | |||||||
\(798\) | 111836. | − | 71872.7i | 0.00621691 | − | 0.00399537i | ||||
\(799\) | 3.25024e6 | + | 954357.i | 0.180115 | + | 0.0528864i | ||||
\(800\) | 2.07210e7 | − | 2.39133e7i | 1.14468 | − | 1.32103i | ||||
\(801\) | 1.96065e6 | − | 575699.i | 0.107974 | − | 0.0317040i | ||||
\(802\) | 1.32580e7 | − | 2.90310e7i | 0.727851 | − | 1.59377i | ||||
\(803\) | −490563. | − | 3.41194e6i | −0.0268476 | − | 0.186729i | ||||
\(804\) | 1.66020e7 | 0.905775 | ||||||||
\(805\) | 483597. | − | 726817.i | 0.0263023 | − | 0.0395308i | ||||
\(806\) | 4.65548e7 | 2.52422 | ||||||||
\(807\) | 3.12881e6 | + | 2.17613e7i | 0.169120 | + | 1.17626i | ||||
\(808\) | 286317. | − | 626947.i | 0.0154283 | − | 0.0337834i | ||||
\(809\) | −9.97746e6 | + | 2.92965e6i | −0.535980 | + | 0.157378i | −0.538510 | − | 0.842619i | \(-0.681013\pi\) |
0.00253030 | + | 0.999997i | \(0.499195\pi\) | |||||||
\(810\) | 2.82206e7 | − | 3.25684e7i | 1.51131 | − | 1.74415i | ||||
\(811\) | 7.75727e6 | + | 2.27774e6i | 0.414149 | + | 0.121605i | 0.482168 | − | 0.876079i | \(-0.339850\pi\) |
−0.0680185 | + | 0.997684i | \(0.521668\pi\) | |||||||
\(812\) | 764930. | − | 491591.i | 0.0407129 | − | 0.0261646i | ||||
\(813\) | 738703. | + | 1.61753e6i | 0.0391961 | + | 0.0858276i | ||||
\(814\) | 1.13049e7 | + | 1.30466e7i | 0.598008 | + | 0.690139i | ||||
\(815\) | −2.28510e7 | − | 1.46855e7i | −1.20507 | − | 0.774450i | ||||
\(816\) | 711145. | − | 4.94612e6i | 0.0373880 | − | 0.260039i | ||||
\(817\) | −232123. | + | 1.61445e6i | −0.0121664 | + | 0.0846194i | ||||
\(818\) | −1.79268e7 | − | 1.15208e7i | −0.936740 | − | 0.602006i | ||||
\(819\) | −66948.2 | − | 77262.4i | −0.00348762 | − | 0.00402493i | ||||
\(820\) | 1.35394e7 | + | 2.96471e7i | 0.703176 | + | 1.53974i | ||||
\(821\) | 1.13365e7 | − | 7.28555e6i | 0.586979 | − | 0.377229i | −0.213183 | − | 0.977012i | \(-0.568383\pi\) |
0.800162 | + | 0.599784i | \(0.204747\pi\) | |||||||
\(822\) | 530687. | + | 155824.i | 0.0273942 | + | 0.00804366i | ||||
\(823\) | −1.50492e7 | + | 1.73678e7i | −0.774489 | + | 0.893808i | −0.996699 | − | 0.0811911i | \(-0.974128\pi\) |
0.222210 | + | 0.974999i | \(0.428673\pi\) | |||||||
\(824\) | −976335. | + | 286678.i | −0.0500935 | + | 0.0147088i | ||||
\(825\) | −1.20723e7 | + | 2.64347e7i | −0.617526 | + | 1.35219i | ||||
\(826\) | −177425. | − | 1.23402e6i | −0.00904824 | − | 0.0629319i | ||||
\(827\) | −1.39765e7 | −0.710616 | −0.355308 | − | 0.934749i | \(-0.615624\pi\) | ||||
−0.355308 | + | 0.934749i | \(0.615624\pi\) | |||||||
\(828\) | 1.09109e6 | + | 1.75864e6i | 0.0553076 | + | 0.0891456i | ||||
\(829\) | 3.05110e6 | 0.154195 | 0.0770975 | − | 0.997024i | \(-0.475435\pi\) | ||||
0.0770975 | + | 0.997024i | \(0.475435\pi\) | |||||||
\(830\) | −3.37213e6 | − | 2.34537e7i | −0.169906 | − | 1.18172i | ||||
\(831\) | −4.80248e6 | + | 1.05160e7i | −0.241248 | + | 0.528259i | ||||
\(832\) | −2.84849e7 | + | 8.36391e6i | −1.42661 | + | 0.418891i | ||||
\(833\) | −3.19549e6 | + | 3.68779e6i | −0.159560 | + | 0.184142i | ||||
\(834\) | −8.84665e6 | − | 2.59761e6i | −0.440417 | − | 0.129318i | ||||
\(835\) | 6.56003e6 | − | 4.21588e6i | 0.325604 | − | 0.209253i | ||||
\(836\) | 1.46589e6 | + | 3.20984e6i | 0.0725411 | + | 0.158843i | ||||
\(837\) | 1.43221e7 | + | 1.65285e7i | 0.706629 | + | 0.815494i | ||||
\(838\) | −8.32123e6 | − | 5.34773e6i | −0.409334 | − | 0.263063i | ||||
\(839\) | 4.34715e6 | − | 3.02351e7i | 0.213206 | − | 1.48288i | −0.549150 | − | 0.835724i | \(-0.685048\pi\) |
0.762356 | − | 0.647158i | \(-0.224043\pi\) | |||||||
\(840\) | 4927.62 | − | 34272.3i | 0.000240957 | − | 0.00167589i | ||||
\(841\) | 2.49866e7 | + | 1.60579e7i | 1.21820 | + | 0.782888i | ||||
\(842\) | 2.30949e7 | + | 2.66530e7i | 1.12263 | + | 1.29558i | ||||
\(843\) | −7.04880e6 | − | 1.54347e7i | −0.341623 | − | 0.748049i | ||||
\(844\) | 5.93972e6 | − | 3.81723e6i | 0.287019 | − | 0.184456i | ||||
\(845\) | −4.30580e7 | − | 1.26430e7i | −2.07449 | − | 0.609126i | ||||
\(846\) | −1.58548e6 | + | 1.82974e6i | −0.0761613 | + | 0.0878949i | ||||
\(847\) | 183381. | − | 53845.6i | 0.00878307 | − | 0.00257894i | ||||
\(848\) | 9.42562e6 | − | 2.06392e7i | 0.450112 | − | 0.985607i | ||||
\(849\) | 2.67853e6 | + | 1.86296e7i | 0.127534 | + | 0.887021i | ||||
\(850\) | −8.98562e6 | −0.426580 | ||||||||
\(851\) | 3.22112e6 | + | 1.16524e7i | 0.152470 | + | 0.551559i | ||||
\(852\) | 9.15867e6 | 0.432248 | ||||||||
\(853\) | 4.86269e6 | + | 3.38207e7i | 0.228825 | + | 1.59151i | 0.703070 | + | 0.711121i | \(0.251812\pi\) |
−0.474244 | + | 0.880393i | \(0.657279\pi\) | |||||||
\(854\) | −756461. | + | 1.65642e6i | −0.0354930 | + | 0.0777187i | ||||
\(855\) | −520602. | + | 152863.i | −0.0243551 | + | 0.00715131i | ||||
\(856\) | 107697. | − | 124289.i | 0.00502366 | − | 0.00579761i | ||||
\(857\) | −1.39089e7 | − | 4.08403e6i | −0.646906 | − | 0.189949i | −0.0582114 | − | 0.998304i | \(-0.518540\pi\) |
−0.588695 | + | 0.808356i | \(0.700358\pi\) | |||||||
\(858\) | 4.76185e7 | − | 3.06025e7i | 2.20830 | − | 1.41919i | ||||
\(859\) | −8.22390e6 | − | 1.80078e7i | −0.380273 | − | 0.832681i | −0.998895 | − | 0.0469928i | \(-0.985036\pi\) |
0.618623 | − | 0.785688i | \(-0.287691\pi\) | |||||||
\(860\) | −1.12627e7 | − | 1.29978e7i | −0.519273 | − | 0.599273i | ||||
\(861\) | 706707. | + | 454173.i | 0.0324886 | + | 0.0208792i | ||||
\(862\) | −7.08974e6 | + | 4.93102e7i | −0.324984 | + | 2.26031i | ||||
\(863\) | 3.24974e6 | − | 2.26024e7i | 0.148532 | − | 1.03307i | −0.770092 | − | 0.637933i | \(-0.779790\pi\) |
0.918624 | − | 0.395132i | \(-0.129301\pi\) | |||||||
\(864\) | −2.43568e7 | − | 1.56532e7i | −1.11003 | − | 0.713376i | ||||
\(865\) | −2.87237e7 | − | 3.31489e7i | −1.30527 | − | 1.50636i | ||||
\(866\) | 5.17873e6 | + | 1.13398e7i | 0.234655 | + | 0.513822i | ||||
\(867\) | 1.84294e7 | − | 1.18439e7i | 0.832652 | − | 0.535113i | ||||
\(868\) | −756826. | − | 222224.i | −0.0340955 | − | 0.0100113i | ||||
\(869\) | 1.20126e7 | − | 1.38633e7i | 0.539620 | − | 0.622755i | ||||
\(870\) | −7.42748e7 | + | 2.18090e7i | −3.32693 | + | 0.976874i | ||||
\(871\) | 1.28220e7 | − | 2.80762e7i | 0.572677 | − | 1.25399i | ||||
\(872\) | −3716.71 | − | 25850.3i | −0.000165527 | − | 0.00115126i | ||||
\(873\) | −4.04570e6 | −0.179663 | ||||||||
\(874\) | −79552.6 | + | 5.00276e6i | −0.00352270 | + | 0.221529i | ||||
\(875\) | −262647. | −0.0115972 | ||||||||
\(876\) | 551628. | + | 3.83666e6i | 0.0242877 | + | 0.168925i | ||||
\(877\) | 337709. | − | 739479.i | 0.0148267 | − | 0.0324659i | −0.902074 | − | 0.431582i | \(-0.857956\pi\) |
0.916900 | + | 0.399116i | \(0.130683\pi\) | |||||||
\(878\) | 2.59304e7 | − | 7.61386e6i | 1.13520 | − | 0.333325i | ||||
\(879\) | −637995. | + | 736286.i | −0.0278513 | + | 0.0321421i | ||||
\(880\) | 3.83687e7 | + | 1.12661e7i | 1.67021 | + | 0.490417i | ||||
\(881\) | −1.96313e7 | + | 1.26163e7i | −0.852137 | + | 0.547635i | −0.892241 | − | 0.451560i | \(-0.850868\pi\) |
0.0401038 | + | 0.999196i | \(0.487231\pi\) | |||||||
\(882\) | −1.44880e6 | − | 3.17243e6i | −0.0627100 | − | 0.137316i | ||||
\(883\) | −7.89214e6 | − | 9.10802e6i | −0.340638 | − | 0.393117i | 0.559422 | − | 0.828883i | \(-0.311023\pi\) |
−0.900060 | + | 0.435766i | \(0.856478\pi\) | |||||||
\(884\) | 7.27202e6 | + | 4.67344e6i | 0.312986 | + | 0.201144i | ||||
\(885\) | −7.46033e6 | + | 5.18877e7i | −0.320184 | + | 2.22693i | ||||
\(886\) | −4.61363e6 | + | 3.20885e7i | −0.197450 | + | 1.37330i | ||||
\(887\) | 2.67916e7 | + | 1.72179e7i | 1.14338 | + | 0.734804i | 0.968310 | − | 0.249753i | \(-0.0803493\pi\) |
0.175067 | + | 0.984556i | \(0.443986\pi\) | |||||||
\(888\) | 313998. | + | 362373.i | 0.0133627 | + | 0.0154214i | ||||
\(889\) | 137278. | + | 300597.i | 0.00582567 | + | 0.0127564i | ||||
\(890\) | −4.38215e7 | + | 2.81623e7i | −1.85444 | + | 1.19177i | ||||
\(891\) | 2.82891e7 | + | 8.30643e6i | 1.19378 | + | 0.350526i | ||||
\(892\) | 1.82269e7 | − | 2.10349e7i | 0.767008 | − | 0.885174i | ||||
\(893\) | −2.77376e6 | + | 814450.i | −0.116397 | + | 0.0341772i | ||||
\(894\) | −1.93630e7 | + | 4.23991e7i | −0.810268 | + | 1.77424i | ||||
\(895\) | 6.23446e6 | + | 4.33616e7i | 0.260160 | + | 1.80946i | ||||
\(896\) | −51600.7 | −0.00214726 | ||||||||
\(897\) | 3.93214e7 | − | 5.01681e6i | 1.63173 | − | 0.208184i | ||||
\(898\) | −9.61987e6 | −0.398087 | ||||||||
\(899\) | −6.19904e6 | − | 4.31153e7i | −0.255814 | − | 1.77923i | ||||
\(900\) | 1.31767e6 | − | 2.88530e6i | 0.0542251 | − | 0.118737i | ||||
\(901\) | −6.03679e6 | + | 1.77256e6i | −0.247739 | + | 0.0727427i | ||||
\(902\) | −2.95655e7 | + | 3.41204e7i | −1.20995 | + | 1.39636i | ||||
\(903\) | −425335. | − | 124890.i | −0.0173585 | − | 0.00509691i | ||||
\(904\) | −703579. | + | 452163.i | −0.0286346 | + | 0.0184024i | ||||
\(905\) | 9.75195e6 | + | 2.13538e7i | 0.395795 | + | 0.866670i | ||||
\(906\) | −3.94604e6 | − | 4.55398e6i | −0.159713 | − | 0.184319i | ||||
\(907\) | −1.48839e7 | − | 9.56533e6i | −0.600758 | − | 0.386084i | 0.204623 | − | 0.978841i | \(-0.434403\pi\) |
−0.805381 | + | 0.592757i | \(0.798039\pi\) | |||||||
\(908\) | −2.31940e6 | + | 1.61318e7i | −0.0933601 | + | 0.649334i | ||||
\(909\) | 417748. | − | 2.90550e6i | 0.0167689 | − | 0.116630i | ||||
\(910\) | 2.19240e6 | + | 1.40897e6i | 0.0877638 | + | 0.0564024i | ||||
\(911\) | −2.15559e7 | − | 2.48768e7i | −0.860538 | − | 0.993114i | −0.999996 | − | 0.00288591i | \(-0.999081\pi\) |
0.139458 | − | 0.990228i | \(-0.455464\pi\) | |||||||
\(912\) | 1.77151e6 | + | 3.87907e6i | 0.0705272 | + | 0.154433i | ||||
\(913\) | 1.36377e7 | − | 8.76442e6i | 0.541457 | − | 0.347973i | ||||
\(914\) | −4.21096e7 | − | 1.23645e7i | −1.66731 | − | 0.489566i | ||||
\(915\) | 5.01415e7 | − | 5.78664e7i | 1.97991 | − | 2.28493i | ||||
\(916\) | −3.34340e6 | + | 981710.i | −0.131659 | + | 0.0386585i | ||||
\(917\) | 406671. | − | 890485.i | 0.0159705 | − | 0.0349706i | ||||
\(918\) | 1.17012e6 | + | 8.13838e6i | 0.0458273 | + | 0.318736i | ||||
\(919\) | 2.83341e7 | 1.10668 | 0.553338 | − | 0.832957i | \(-0.313354\pi\) | ||||
0.553338 | + | 0.832957i | \(0.313354\pi\) | |||||||
\(920\) | 971168. | + | 868938.i | 0.0378290 | + | 0.0338469i | ||||
\(921\) | −8.47848e6 | −0.329359 | ||||||||
\(922\) | −7.38782e6 | − | 5.13834e7i | −0.286213 | − | 1.99065i | ||||
\(923\) | 7.07338e6 | − | 1.54885e7i | 0.273289 | − | 0.598420i | ||||
\(924\) | −920197. | + | 270194.i | −0.0354569 | + | 0.0104111i | ||||
\(925\) | 1.21336e7 | − | 1.40030e7i | 0.466269 | − | 0.538104i | ||||
\(926\) | −1.37587e7 | − | 4.03993e6i | −0.527292 | − | 0.154827i | ||||
\(927\) | −3.64571e6 | + | 2.34296e6i | −0.139342 | + | 0.0895499i | ||||
\(928\) | 2.39549e7 | + | 5.24539e7i | 0.913112 | + | 1.99944i | ||||
\(929\) | 5.90126e6 | + | 6.81042e6i | 0.224339 | + | 0.258901i | 0.856750 | − | 0.515732i | \(-0.172480\pi\) |
−0.632411 | + | 0.774633i | \(0.717934\pi\) | |||||||
\(930\) | 5.64919e7 | + | 3.63051e7i | 2.14180 | + | 1.37645i | ||||
\(931\) | 592642. | − | 4.12191e6i | 0.0224088 | − | 0.155856i | ||||
\(932\) | 759155. | − | 5.28004e6i | 0.0286280 | − | 0.199112i | ||||
\(933\) | −3.27921e7 | − | 2.10742e7i | −1.23329 | − | 0.792587i | ||||
\(934\) | −1.07279e7 | − | 1.23807e7i | −0.402391 | − | 0.464384i | ||||
\(935\) | −4.60632e6 | − | 1.00864e7i | −0.172316 | − | 0.377319i | ||||
\(936\) | 128381. | − | 82505.3i | 0.00478972 | − | 0.00307817i | ||||
\(937\) | 4.69627e7 | + | 1.37895e7i | 1.74745 | + | 0.513096i | 0.990154 | − | 0.139981i | \(-0.0447041\pi\) |
0.757291 | + | 0.653077i | \(0.226522\pi\) | |||||||
\(938\) | −693382. | + | 800206.i | −0.0257315 | + | 0.0296958i | ||||
\(939\) | −9.71934e6 | + | 2.85385e6i | −0.359727 | + | 0.105625i | ||||
\(940\) | 1.26629e7 | − | 2.77280e7i | 0.467428 | − | 1.02353i | ||||
\(941\) | −1.77055e6 | − | 1.23145e7i | −0.0651831 | − | 0.453358i | −0.996108 | − | 0.0881464i | \(-0.971906\pi\) |
0.930924 | − | 0.365212i | \(-0.119003\pi\) | |||||||
\(942\) | 7.26170e6 | 0.266631 | ||||||||
\(943\) | −2.89652e7 | + | 1.26753e7i | −1.06071 | + | 0.464172i | ||||
\(944\) | 3.99918e7 | 1.46063 | ||||||||
\(945\) | 174235. | + | 1.21183e6i | 0.00634680 | + | 0.0441430i | ||||
\(946\) | 9.89681e6 | − | 2.16710e7i | 0.359557 | − | 0.787320i | ||||
\(947\) | −1.04335e6 | + | 306354.i | −0.0378054 | + | 0.0111007i | −0.300581 | − | 0.953756i | \(-0.597180\pi\) |
0.262775 | + | 0.964857i | \(0.415362\pi\) | |||||||
\(948\) | −1.35079e7 | + | 1.55890e7i | −0.488167 | + | 0.563375i | ||||
\(949\) | 6.91433e6 | + | 2.03023e6i | 0.249221 | + | 0.0731779i | ||||
\(950\) | 6.45102e6 | − | 4.14582e6i | 0.231910 | − | 0.149040i | ||||
\(951\) | −9.01407e6 | − | 1.97381e7i | −0.323199 | − | 0.707707i | ||||
\(952\) | 4796.62 | + | 5535.59i | 0.000171531 | + | 0.000197957i | ||||
\(953\) | 1.42920e7 | + | 9.18494e6i | 0.509756 | + | 0.327600i | 0.770108 | − | 0.637914i | \(-0.220202\pi\) |
−0.260352 | + | 0.965514i | \(0.583839\pi\) | |||||||
\(954\) | 639959. | − | 4.45101e6i | 0.0227657 | − | 0.158339i | ||||
\(955\) | −1.14115e7 | + | 7.93689e7i | −0.404888 | + | 2.81606i | ||||
\(956\) | 7.36390e6 | + | 4.73249e6i | 0.260593 | + | 0.167473i | ||||
\(957\) | −3.46823e7 | − | 4.00255e7i | −1.22413 | − | 1.41272i | ||||
\(958\) | −2.31008e7 | − | 5.05837e7i | −0.813230 | − | 1.78072i | ||||
\(959\) | −14656.4 | + | 9419.07i | −0.000514611 | + | 0.000330721i | ||||
\(960\) | −4.10875e7 | − | 1.20644e7i | −1.43890 | − | 0.422500i | ||||
\(961\) | −5.99662e6 | + | 6.92047e6i | −0.209459 | + | 0.241728i | ||||
\(962\) | −3.46278e7 | + | 1.01676e7i | −1.20639 | + | 0.354228i | ||||
\(963\) | 290962. | − | 637118.i | 0.0101104 | − | 0.0221388i | ||||
\(964\) | −217562. | − | 1.51318e6i | −0.00754033 | − | 0.0524441i | ||||
\(965\) | −1.44502e7 | −0.499525 | ||||||||
\(966\) | −1.34275e6 | − | 214901.i | −0.0462968 | − | 0.00740962i | ||||
\(967\) | 7.34745e6 | 0.252680 | 0.126340 | − | 0.991987i | \(-0.459677\pi\) | ||||
0.126340 | + | 0.991987i | \(0.459677\pi\) | |||||||
\(968\) | 40601.9 | + | 282392.i | 0.00139270 | + | 0.00968644i | ||||
\(969\) | 491225. | − | 1.07563e6i | 0.0168063 | − | 0.0368006i | ||||
\(970\) | 9.89550e7 | − | 2.90558e7i | 3.37682 | − | 0.991525i | ||||
\(971\) | −3.49210e6 | + | 4.03010e6i | −0.118861 | + | 0.137173i | −0.812061 | − | 0.583572i | \(-0.801655\pi\) |
0.693201 | + | 0.720745i | \(0.256200\pi\) | |||||||
\(972\) | −5.90510e6 | − | 1.73389e6i | −0.200476 | − | 0.0588650i | ||||
\(973\) | 244324. | − | 157018.i | 0.00827341 | − | 0.00531700i | ||||
\(974\) | −1.82259e7 | − | 3.99091e7i | −0.615589 | − | 1.34795i | ||||
\(975\) | −3.97851e7 | − | 4.59145e7i | −1.34032 | − | 1.54681i | ||||
\(976\) | −4.91403e7 | − | 3.15806e7i | −1.65125 | − | 1.06120i | ||||
\(977\) | −7.02121e6 | + | 4.88336e7i | −0.235329 | + | 1.63675i | 0.439120 | + | 0.898429i | \(0.355290\pi\) |
−0.674449 | + | 0.738322i | \(0.735619\pi\) | |||||||
\(978\) | −6.02144e6 | + | 4.18800e7i | −0.201304 | + | 1.40010i | ||||
\(979\) | −2.99810e7 | − | 1.92676e7i | −0.999746 | − | 0.642498i | ||||
\(980\) | 2.87552e7 | + | 3.31852e7i | 0.956425 | + | 1.10377i | ||||
\(981\) | −46205.1 | − | 101175.i | −0.00153291 | − | 0.00335661i | ||||
\(982\) | −6.04353e6 | + | 3.88394e6i | −0.199992 | + | 0.128527i | ||||
\(983\) | 1.67169e7 | + | 4.90852e6i | 0.551787 | + | 0.162019i | 0.545728 | − | 0.837962i | \(-0.316253\pi\) |
0.00605910 | + | 0.999982i | \(0.498071\pi\) | |||||||
\(984\) | −821191. | + | 947705.i | −0.0270369 | + | 0.0312022i | ||||
\(985\) | 1.38167e7 | − | 4.05696e6i | 0.453748 | − | 0.133232i | ||||
\(986\) | 6.80270e6 | − | 1.48958e7i | 0.222838 | − | 0.487947i | ||||
\(987\) | −111815. | − | 777688.i | −0.00365347 | − | 0.0254105i | ||||
\(988\) | −7.37703e6 | −0.240430 | ||||||||
\(989\) | 1.27810e7 | − | 1.07238e7i | 0.415504 | − | 0.348625i | ||||
\(990\) | 7.92518e6 | 0.256993 | ||||||||
\(991\) | 6.13127e6 | + | 4.26439e7i | 0.198320 | + | 1.37934i | 0.809159 | + | 0.587590i | \(0.199923\pi\) |
−0.610839 | + | 0.791755i | \(0.709168\pi\) | |||||||
\(992\) | 2.07804e7 | − | 4.55027e7i | 0.670462 | − | 1.46811i | ||||
\(993\) | 2.30417e7 | − | 6.76566e6i | 0.741552 | − | 0.217739i | ||||
\(994\) | −382512. | + | 441442.i | −0.0122794 | + | 0.0141712i | ||||
\(995\) | −6.88875e7 | − | 2.02272e7i | −2.20588 | − | 0.647706i | ||||
\(996\) | −1.53353e7 | + | 9.85540e6i | −0.489829 | + | 0.314794i | ||||
\(997\) | −1.33623e7 | − | 2.92593e7i | −0.425738 | − | 0.932235i | −0.993999 | − | 0.109387i | \(-0.965111\pi\) |
0.568262 | − | 0.822848i | \(-0.307616\pi\) | |||||||
\(998\) | 3.22315e7 | + | 3.71971e7i | 1.02436 | + | 1.18218i | ||||
\(999\) | −1.42627e7 | − | 9.16609e6i | −0.452156 | − | 0.290583i |
(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 | 23.6.c.a.3.2 | ✓ | 90 | |
23.8 | even | 11 | inner | 23.6.c.a.8.2 | yes | 90 | |
23.10 | odd | 22 | 529.6.a.k.1.37 | 45 | |||
23.13 | even | 11 | 529.6.a.j.1.37 | 45 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.6.c.a.3.2 | ✓ | 90 | 1.1 | even | 1 | trivial | |
23.6.c.a.8.2 | yes | 90 | 23.8 | even | 11 | inner | |
529.6.a.j.1.37 | 45 | 23.13 | even | 11 | |||
529.6.a.k.1.37 | 45 | 23.10 | odd | 22 |