Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.2 | ||
Character | \(\chi\) | \(=\) | 150.31 |
Dual form | 150.6.g.b.121.2 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23607 | + | 3.80423i | 0.218508 | + | 0.672499i | ||||
\(3\) | −7.28115 | + | 5.29007i | −0.467086 | + | 0.339358i | ||||
\(4\) | −12.9443 | + | 9.40456i | −0.404508 | + | 0.293893i | ||||
\(5\) | −55.5791 | + | 5.99730i | −0.994229 | + | 0.107283i | ||||
\(6\) | −29.1246 | − | 21.1603i | −0.330280 | − | 0.239962i | ||||
\(7\) | 161.028 | 1.24210 | 0.621051 | − | 0.783771i | \(-0.286706\pi\) | ||||
0.621051 | + | 0.783771i | \(0.286706\pi\) | |||||||
\(8\) | −51.7771 | − | 37.6183i | −0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | −91.5146 | − | 204.022i | −0.289394 | − | 0.645175i | ||||
\(11\) | −141.396 | − | 435.171i | −0.352334 | − | 1.08437i | −0.957539 | − | 0.288303i | \(-0.906909\pi\) |
0.605206 | − | 0.796069i | \(-0.293091\pi\) | |||||||
\(12\) | 44.4984 | − | 136.952i | 0.0892055 | − | 0.274546i | ||||
\(13\) | 78.8398 | − | 242.644i | 0.129386 | − | 0.398209i | −0.865289 | − | 0.501274i | \(-0.832865\pi\) |
0.994675 | + | 0.103065i | \(0.0328649\pi\) | |||||||
\(14\) | 199.042 | + | 612.588i | 0.271409 | + | 0.835311i | ||||
\(15\) | 372.954 | − | 337.684i | 0.427983 | − | 0.387510i | ||||
\(16\) | 79.1084 | − | 243.470i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1333.75 | − | 969.024i | −1.11931 | − | 0.813228i | −0.135207 | − | 0.990817i | \(-0.543170\pi\) |
−0.984105 | + | 0.177590i | \(0.943170\pi\) | |||||||
\(18\) | 324.000 | 0.235702 | ||||||||
\(19\) | 1281.16 | + | 930.818i | 0.814179 | + | 0.591535i | 0.915039 | − | 0.403365i | \(-0.132160\pi\) |
−0.100861 | + | 0.994901i | \(0.532160\pi\) | |||||||
\(20\) | 663.029 | − | 600.328i | 0.370644 | − | 0.335593i | ||||
\(21\) | −1172.47 | + | 851.850i | −0.580168 | + | 0.421517i | ||||
\(22\) | 1480.71 | − | 1075.80i | 0.652251 | − | 0.473888i | ||||
\(23\) | 1033.60 | + | 3181.10i | 0.407412 | + | 1.25389i | 0.918864 | + | 0.394574i | \(0.129108\pi\) |
−0.511452 | + | 0.859312i | \(0.670892\pi\) | |||||||
\(24\) | 576.000 | 0.204124 | ||||||||
\(25\) | 3053.06 | − | 666.648i | 0.976981 | − | 0.213327i | ||||
\(26\) | 1020.52 | 0.296067 | ||||||||
\(27\) | 225.273 | + | 693.320i | 0.0594703 | + | 0.183031i | ||||
\(28\) | −2084.39 | + | 1514.40i | −0.502440 | + | 0.365044i | ||||
\(29\) | 4154.82 | − | 3018.65i | 0.917397 | − | 0.666528i | −0.0254779 | − | 0.999675i | \(-0.508111\pi\) |
0.942875 | + | 0.333148i | \(0.108111\pi\) | |||||||
\(30\) | 1745.62 | + | 1001.40i | 0.354117 | + | 0.203144i | ||||
\(31\) | 8154.81 | + | 5924.81i | 1.52409 | + | 1.10731i | 0.959415 | + | 0.281997i | \(0.0909968\pi\) |
0.564671 | + | 0.825316i | \(0.309003\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | 3331.61 | + | 2420.55i | 0.532560 | + | 0.386928i | ||||
\(34\) | 2037.78 | − | 6271.65i | 0.302316 | − | 0.930432i | ||||
\(35\) | −8949.80 | + | 965.734i | −1.23493 | + | 0.133256i | ||||
\(36\) | 400.486 | + | 1232.57i | 0.0515028 | + | 0.158509i | ||||
\(37\) | −562.665 | + | 1731.70i | −0.0675687 | + | 0.207955i | −0.979140 | − | 0.203187i | \(-0.934870\pi\) |
0.911571 | + | 0.411142i | \(0.134870\pi\) | |||||||
\(38\) | −1957.44 | + | 6024.38i | −0.219902 | + | 0.676789i | ||||
\(39\) | 709.558 | + | 2183.80i | 0.0747010 | + | 0.229906i | ||||
\(40\) | 3103.33 | + | 1780.26i | 0.306675 | + | 0.175928i | ||||
\(41\) | 577.538 | − | 1777.48i | 0.0536563 | − | 0.165137i | −0.920637 | − | 0.390419i | \(-0.872330\pi\) |
0.974294 | + | 0.225282i | \(0.0723302\pi\) | |||||||
\(42\) | −4689.88 | − | 3407.40i | −0.410241 | − | 0.298057i | ||||
\(43\) | −18541.1 | −1.52920 | −0.764601 | − | 0.644504i | \(-0.777064\pi\) | ||||
−0.764601 | + | 0.644504i | \(0.777064\pi\) | |||||||
\(44\) | 5922.86 | + | 4303.21i | 0.461211 | + | 0.335089i | ||||
\(45\) | −929.160 | + | 4431.68i | −0.0684005 | + | 0.326240i | ||||
\(46\) | −10824.0 | + | 7864.12i | −0.754214 | + | 0.547968i | ||||
\(47\) | 21041.9 | − | 15287.8i | 1.38944 | − | 1.00949i | 0.393514 | − | 0.919319i | \(-0.371259\pi\) |
0.995926 | − | 0.0901692i | \(-0.0287408\pi\) | |||||||
\(48\) | 711.975 | + | 2191.23i | 0.0446028 | + | 0.137273i | ||||
\(49\) | 9123.09 | 0.542815 | ||||||||
\(50\) | 6309.88 | + | 10790.5i | 0.356941 | + | 0.610404i | ||||
\(51\) | 14837.4 | 0.798790 | ||||||||
\(52\) | 1261.44 | + | 3882.30i | 0.0646930 | + | 0.199105i | ||||
\(53\) | 19127.7 | − | 13897.1i | 0.935350 | − | 0.679572i | −0.0119468 | − | 0.999929i | \(-0.503803\pi\) |
0.947297 | + | 0.320357i | \(0.103803\pi\) | |||||||
\(54\) | −2359.09 | + | 1713.98i | −0.110093 | + | 0.0799874i | ||||
\(55\) | 10468.5 | + | 23338.4i | 0.466635 | + | 1.04031i | ||||
\(56\) | −8337.57 | − | 6057.60i | −0.355279 | − | 0.258125i | ||||
\(57\) | −14252.4 | −0.581034 | ||||||||
\(58\) | 16619.3 | + | 12074.6i | 0.648697 | + | 0.471306i | ||||
\(59\) | 1899.08 | − | 5844.78i | 0.0710254 | − | 0.218594i | −0.909243 | − | 0.416267i | \(-0.863338\pi\) |
0.980268 | + | 0.197673i | \(0.0633383\pi\) | |||||||
\(60\) | −1651.84 | + | 7878.54i | −0.0592365 | + | 0.282532i | ||||
\(61\) | −1667.89 | − | 5133.24i | −0.0573909 | − | 0.176631i | 0.918252 | − | 0.395997i | \(-0.129601\pi\) |
−0.975643 | + | 0.219366i | \(0.929601\pi\) | |||||||
\(62\) | −12459.4 | + | 38346.2i | −0.411642 | + | 1.26690i | ||||
\(63\) | 4030.60 | − | 12404.9i | 0.127943 | − | 0.393769i | ||||
\(64\) | 1265.73 | + | 3895.53i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −2926.64 | + | 13958.8i | −0.0859182 | + | 0.409792i | ||||
\(66\) | −5090.24 | + | 15666.2i | −0.143840 | + | 0.442693i | ||||
\(67\) | 24919.2 | + | 18104.9i | 0.678185 | + | 0.492730i | 0.872755 | − | 0.488159i | \(-0.162331\pi\) |
−0.194570 | + | 0.980889i | \(0.562331\pi\) | |||||||
\(68\) | 26377.6 | 0.691773 | ||||||||
\(69\) | −24354.1 | − | 17694.3i | −0.615813 | − | 0.447414i | ||||
\(70\) | −14736.4 | − | 32853.3i | −0.359457 | − | 0.801373i | ||||
\(71\) | −13309.9 | + | 9670.24i | −0.313350 | + | 0.227662i | −0.733333 | − | 0.679870i | \(-0.762036\pi\) |
0.419982 | + | 0.907532i | \(0.362036\pi\) | |||||||
\(72\) | −4193.94 | + | 3047.08i | −0.0953436 | + | 0.0692712i | ||||
\(73\) | −970.460 | − | 2986.77i | −0.0213143 | − | 0.0655986i | 0.939834 | − | 0.341632i | \(-0.110980\pi\) |
−0.961148 | + | 0.276034i | \(0.910980\pi\) | |||||||
\(74\) | −7283.29 | −0.154614 | ||||||||
\(75\) | −18703.2 | + | 21004.9i | −0.383940 | + | 0.431189i | ||||
\(76\) | −25337.6 | −0.503190 | ||||||||
\(77\) | −22768.7 | − | 70074.8i | −0.437634 | − | 1.34690i | ||||
\(78\) | −7430.59 | + | 5398.64i | −0.138289 | + | 0.100473i | ||||
\(79\) | 48397.1 | − | 35162.5i | 0.872471 | − | 0.633888i | −0.0587775 | − | 0.998271i | \(-0.518720\pi\) |
0.931249 | + | 0.364383i | \(0.118720\pi\) | |||||||
\(80\) | −2936.60 | + | 14006.3i | −0.0513004 | + | 0.244680i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 7475.81 | 0.122779 | ||||||||
\(83\) | 27239.7 | + | 19790.8i | 0.434018 | + | 0.315333i | 0.783254 | − | 0.621702i | \(-0.213559\pi\) |
−0.349236 | + | 0.937035i | \(0.613559\pi\) | |||||||
\(84\) | 7165.51 | − | 22053.2i | 0.110802 | − | 0.341014i | ||||
\(85\) | 79939.9 | + | 45858.6i | 1.20010 | + | 0.688451i | ||||
\(86\) | −22918.1 | − | 70534.6i | −0.334143 | − | 1.02839i | ||||
\(87\) | −14283.0 | + | 43958.6i | −0.202312 | + | 0.622652i | ||||
\(88\) | −9049.32 | + | 27850.9i | −0.124569 | + | 0.383383i | ||||
\(89\) | −40288.4 | − | 123995.i | −0.539145 | − | 1.65932i | −0.734519 | − | 0.678588i | \(-0.762592\pi\) |
0.195374 | − | 0.980729i | \(-0.437408\pi\) | |||||||
\(90\) | −18007.6 | + | 1943.12i | −0.234342 | + | 0.0252868i | ||||
\(91\) | 12695.4 | − | 39072.5i | 0.160710 | − | 0.494616i | ||||
\(92\) | −43296.1 | − | 31456.5i | −0.533310 | − | 0.387472i | ||||
\(93\) | −90719.1 | −1.08766 | ||||||||
\(94\) | 84167.5 | + | 61151.3i | 0.982483 | + | 0.713816i | ||||
\(95\) | −76788.1 | − | 44050.5i | −0.872941 | − | 0.500774i | ||||
\(96\) | −7455.90 | + | 5417.03i | −0.0825700 | + | 0.0599906i | ||||
\(97\) | −45908.6 | + | 33354.6i | −0.495410 | + | 0.359937i | −0.807261 | − | 0.590194i | \(-0.799051\pi\) |
0.311851 | + | 0.950131i | \(0.399051\pi\) | |||||||
\(98\) | 11276.8 | + | 34706.3i | 0.118609 | + | 0.365042i | ||||
\(99\) | −37062.8 | −0.380059 | ||||||||
\(100\) | −33250.2 | + | 37342.0i | −0.332502 | + | 0.373420i | ||||
\(101\) | 52318.0 | 0.510326 | 0.255163 | − | 0.966898i | \(-0.417871\pi\) | ||||
0.255163 | + | 0.966898i | \(0.417871\pi\) | |||||||
\(102\) | 18340.1 | + | 56444.9i | 0.174542 | + | 0.537185i | ||||
\(103\) | 131773. | − | 95738.7i | 1.22386 | − | 0.889190i | 0.227450 | − | 0.973790i | \(-0.426961\pi\) |
0.996415 | + | 0.0845998i | \(0.0269612\pi\) | |||||||
\(104\) | −13209.9 | + | 9597.58i | −0.119762 | + | 0.0870119i | ||||
\(105\) | 60056.1 | − | 54376.7i | 0.531598 | − | 0.481326i | ||||
\(106\) | 76511.0 | + | 55588.5i | 0.661392 | + | 0.480530i | ||||
\(107\) | 131556. | 1.11084 | 0.555419 | − | 0.831571i | \(-0.312558\pi\) | ||||
0.555419 | + | 0.831571i | \(0.312558\pi\) | |||||||
\(108\) | −9436.37 | − | 6855.93i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | 45110.4 | − | 138836.i | 0.363672 | − | 1.11927i | −0.587136 | − | 0.809489i | \(-0.699745\pi\) |
0.950808 | − | 0.309780i | \(-0.100255\pi\) | |||||||
\(110\) | −75844.8 | + | 68672.3i | −0.597646 | + | 0.541128i | ||||
\(111\) | −5063.98 | − | 15585.3i | −0.0390108 | − | 0.120063i | ||||
\(112\) | 12738.7 | − | 39205.6i | 0.0959576 | − | 0.295327i | ||||
\(113\) | −45155.4 | + | 138974.i | −0.332670 | + | 1.02385i | 0.635188 | + | 0.772358i | \(0.280923\pi\) |
−0.967858 | + | 0.251496i | \(0.919077\pi\) | |||||||
\(114\) | −17617.0 | − | 54219.4i | −0.126961 | − | 0.390744i | ||||
\(115\) | −76524.7 | − | 170604.i | −0.539581 | − | 1.20294i | ||||
\(116\) | −25392.0 | + | 78148.5i | −0.175207 | + | 0.539232i | ||||
\(117\) | −16718.8 | − | 12146.9i | −0.112912 | − | 0.0820356i | ||||
\(118\) | 24582.2 | 0.162524 | ||||||||
\(119\) | −214771. | − | 156040.i | −1.39030 | − | 1.01011i | ||||
\(120\) | −32013.5 | + | 3454.44i | −0.202946 | + | 0.0218990i | ||||
\(121\) | −39088.1 | + | 28399.2i | −0.242706 | + | 0.176336i | ||||
\(122\) | 17466.4 | − | 12690.1i | 0.106244 | − | 0.0771906i | ||||
\(123\) | 5197.84 | + | 15997.3i | 0.0309785 | + | 0.0953420i | ||||
\(124\) | −161278. | −0.941937 | ||||||||
\(125\) | −165688. | + | 55361.8i | −0.948456 | + | 0.316910i | ||||
\(126\) | 52173.1 | 0.292766 | ||||||||
\(127\) | −5067.14 | − | 15595.1i | −0.0278775 | − | 0.0857981i | 0.936150 | − | 0.351602i | \(-0.114363\pi\) |
−0.964027 | + | 0.265803i | \(0.914363\pi\) | |||||||
\(128\) | −13254.9 | + | 9630.27i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 135001. | − | 98083.8i | 0.714269 | − | 0.518947i | ||||
\(130\) | −56719.8 | + | 6120.38i | −0.294358 | + | 0.0317629i | ||||
\(131\) | −308400. | − | 224065.i | −1.57013 | − | 1.14077i | −0.927033 | − | 0.374981i | \(-0.877649\pi\) |
−0.643097 | − | 0.765785i | \(-0.722351\pi\) | |||||||
\(132\) | −65889.5 | −0.329140 | ||||||||
\(133\) | 206303. | + | 149888.i | 1.01129 | + | 0.734747i | ||||
\(134\) | −38073.2 | + | 117177.i | −0.183171 | + | 0.563744i | ||||
\(135\) | −16678.5 | − | 37183.1i | −0.0787632 | − | 0.175594i | ||||
\(136\) | 32604.5 | + | 100346.i | 0.151158 | + | 0.465216i | ||||
\(137\) | −18265.0 | + | 56213.9i | −0.0831416 | + | 0.255884i | −0.983982 | − | 0.178266i | \(-0.942951\pi\) |
0.900841 | + | 0.434150i | \(0.142951\pi\) | |||||||
\(138\) | 37209.7 | − | 114520.i | 0.166325 | − | 0.511897i | ||||
\(139\) | −88151.8 | − | 271303.i | −0.386985 | − | 1.19102i | −0.935030 | − | 0.354569i | \(-0.884628\pi\) |
0.548045 | − | 0.836449i | \(-0.315372\pi\) | |||||||
\(140\) | 106766. | − | 96669.7i | 0.460378 | − | 0.416841i | ||||
\(141\) | −72335.6 | + | 222626.i | −0.306411 | + | 0.943036i | ||||
\(142\) | −53239.8 | − | 38681.0i | −0.221572 | − | 0.160982i | ||||
\(143\) | −116739. | −0.477394 | ||||||||
\(144\) | −16775.8 | − | 12188.3i | −0.0674181 | − | 0.0489821i | ||||
\(145\) | −212817. | + | 192692.i | −0.840595 | + | 0.761102i | ||||
\(146\) | 10162.8 | − | 7383.70i | 0.0394576 | − | 0.0286676i | ||||
\(147\) | −66426.6 | + | 48261.8i | −0.253541 | + | 0.184209i | ||||
\(148\) | −9002.64 | − | 27707.3i | −0.0337843 | − | 0.103978i | ||||
\(149\) | 359461. | 1.32643 | 0.663217 | − | 0.748427i | \(-0.269191\pi\) | ||||
0.663217 | + | 0.748427i | \(0.269191\pi\) | |||||||
\(150\) | −103026. | − | 45187.8i | −0.373868 | − | 0.163981i | ||||
\(151\) | 444588. | 1.58678 | 0.793388 | − | 0.608717i | \(-0.208315\pi\) | ||||
0.793388 | + | 0.608717i | \(0.208315\pi\) | |||||||
\(152\) | −31319.0 | − | 96390.1i | −0.109951 | − | 0.338395i | ||||
\(153\) | −108033. | + | 78490.9i | −0.373104 | + | 0.271076i | ||||
\(154\) | 238437. | − | 173234.i | 0.810161 | − | 0.588617i | ||||
\(155\) | −488769. | − | 280389.i | −1.63409 | − | 0.937414i | ||||
\(156\) | −29722.4 | − | 21594.6i | −0.0977849 | − | 0.0710449i | ||||
\(157\) | −153037. | −0.495506 | −0.247753 | − | 0.968823i | \(-0.579692\pi\) | ||||
−0.247753 | + | 0.968823i | \(0.579692\pi\) | |||||||
\(158\) | 193588. | + | 140650.i | 0.616931 | + | 0.448226i | ||||
\(159\) | −65755.3 | + | 202374.i | −0.206271 | + | 0.634837i | ||||
\(160\) | −56913.0 | + | 6141.23i | −0.175756 | + | 0.0189651i | ||||
\(161\) | 166439. | + | 512247.i | 0.506047 | + | 1.55745i | ||||
\(162\) | 8109.84 | − | 24959.5i | 0.0242787 | − | 0.0747221i | ||||
\(163\) | −15985.1 | + | 49197.0i | −0.0471244 | + | 0.145034i | −0.971850 | − | 0.235600i | \(-0.924294\pi\) |
0.924726 | + | 0.380634i | \(0.124294\pi\) | |||||||
\(164\) | 9240.61 | + | 28439.7i | 0.0268282 | + | 0.0825686i | ||||
\(165\) | −199684. | − | 114552.i | −0.570998 | − | 0.327560i | ||||
\(166\) | −41618.6 | + | 128089.i | −0.117224 | + | 0.360779i | ||||
\(167\) | 281147. | + | 204265.i | 0.780085 | + | 0.566765i | 0.905005 | − | 0.425402i | \(-0.139867\pi\) |
−0.124919 | + | 0.992167i | \(0.539867\pi\) | |||||||
\(168\) | 92752.3 | 0.253543 | ||||||||
\(169\) | 247722. | + | 179981.i | 0.667187 | + | 0.484740i | ||||
\(170\) | −75645.2 | + | 360794.i | −0.200752 | + | 0.957496i | ||||
\(171\) | 103774. | − | 75396.2i | 0.271393 | − | 0.197178i | ||||
\(172\) | 240001. | − | 174371.i | 0.618575 | − | 0.449421i | ||||
\(173\) | 44656.9 | + | 137440.i | 0.113442 | + | 0.349138i | 0.991619 | − | 0.129198i | \(-0.0412402\pi\) |
−0.878177 | + | 0.478336i | \(0.841240\pi\) | |||||||
\(174\) | −184883. | −0.462939 | ||||||||
\(175\) | 491630. | − | 107349.i | 1.21351 | − | 0.264974i | ||||
\(176\) | −117137. | −0.285044 | ||||||||
\(177\) | 17091.7 | + | 52603.0i | 0.0410066 | + | 0.126205i | ||||
\(178\) | 421906. | − | 306533.i | 0.998081 | − | 0.725148i | ||||
\(179\) | −35475.2 | + | 25774.2i | −0.0827546 | + | 0.0601247i | −0.628393 | − | 0.777896i | \(-0.716287\pi\) |
0.545639 | + | 0.838021i | \(0.316287\pi\) | |||||||
\(180\) | −29650.7 | − | 66103.2i | −0.0682109 | − | 0.152069i | ||||
\(181\) | −49195.6 | − | 35742.7i | −0.111617 | − | 0.0810945i | 0.530577 | − | 0.847637i | \(-0.321975\pi\) |
−0.642194 | + | 0.766543i | \(0.721975\pi\) | |||||||
\(182\) | 164333. | 0.367745 | ||||||||
\(183\) | 39299.4 | + | 28552.7i | 0.0867477 | + | 0.0630259i | ||||
\(184\) | 66150.6 | − | 203591.i | 0.144042 | − | 0.443316i | ||||
\(185\) | 20886.8 | − | 99621.0i | 0.0448687 | − | 0.214004i | ||||
\(186\) | −112135. | − | 345116.i | −0.237661 | − | 0.731446i | ||||
\(187\) | −233105. | + | 717424.i | −0.487470 | + | 1.50028i | ||||
\(188\) | −128597. | + | 395780.i | −0.265360 | + | 0.816693i | ||||
\(189\) | 36275.4 | + | 111644.i | 0.0738682 | + | 0.227343i | ||||
\(190\) | 72662.7 | − | 346569.i | 0.146025 | − | 0.696475i | ||||
\(191\) | −93581.9 | + | 288016.i | −0.185613 | + | 0.571258i | −0.999958 | − | 0.00912237i | \(-0.997096\pi\) |
0.814345 | + | 0.580381i | \(0.197096\pi\) | |||||||
\(192\) | −29823.6 | − | 21668.1i | −0.0583858 | − | 0.0424197i | ||||
\(193\) | 945331. | 1.82680 | 0.913400 | − | 0.407064i | \(-0.133447\pi\) | ||||
0.913400 | + | 0.407064i | \(0.133447\pi\) | |||||||
\(194\) | −183635. | − | 133418.i | −0.350308 | − | 0.254514i | ||||
\(195\) | −52533.5 | − | 117118.i | −0.0989349 | − | 0.220565i | ||||
\(196\) | −118092. | + | 85798.7i | −0.219573 | + | 0.159529i | ||||
\(197\) | −669650. | + | 486530.i | −1.22937 | + | 0.893190i | −0.996843 | − | 0.0794003i | \(-0.974699\pi\) |
−0.232527 | + | 0.972590i | \(0.574699\pi\) | |||||||
\(198\) | −45812.2 | − | 140995.i | −0.0830459 | − | 0.255589i | ||||
\(199\) | 202054. | 0.361688 | 0.180844 | − | 0.983512i | \(-0.442117\pi\) | ||||
0.180844 | + | 0.983512i | \(0.442117\pi\) | |||||||
\(200\) | −183157. | − | 80333.9i | −0.323779 | − | 0.142012i | ||||
\(201\) | −277217. | −0.483982 | ||||||||
\(202\) | 64668.6 | + | 199029.i | 0.111510 | + | 0.343193i | ||||
\(203\) | 669043. | − | 486088.i | 1.13950 | − | 0.827895i | ||||
\(204\) | −192060. | + | 139539.i | −0.323118 | + | 0.234759i | ||||
\(205\) | −21439.0 | + | 102254.i | −0.0356302 | + | 0.169940i | ||||
\(206\) | 527092. | + | 382955.i | 0.865403 | + | 0.628752i | ||||
\(207\) | 270930. | 0.439471 | ||||||||
\(208\) | −52839.8 | − | 38390.3i | −0.0846842 | − | 0.0615267i | ||||
\(209\) | 223914. | − | 689138.i | 0.354582 | − | 1.09129i | ||||
\(210\) | 281095. | + | 161254.i | 0.439850 | + | 0.252325i | ||||
\(211\) | −261145. | − | 803722.i | −0.403809 | − | 1.24280i | −0.921886 | − | 0.387462i | \(-0.873352\pi\) |
0.518077 | − | 0.855334i | \(-0.326648\pi\) | |||||||
\(212\) | −116898. | + | 359776.i | −0.178636 | + | 0.549785i | ||||
\(213\) | 45755.5 | − | 140821.i | 0.0691026 | − | 0.212676i | ||||
\(214\) | 162612. | + | 500468.i | 0.242727 | + | 0.747037i | ||||
\(215\) | 1.03050e6 | − | 111197.i | 1.52038 | − | 0.164057i | ||||
\(216\) | 14417.5 | − | 44372.5i | 0.0210259 | − | 0.0647112i | ||||
\(217\) | 1.31315e6 | + | 954062.i | 1.89307 | + | 1.37540i | ||||
\(218\) | 583921. | 0.832172 | ||||||||
\(219\) | 22866.3 | + | 16613.3i | 0.0322170 | + | 0.0234070i | ||||
\(220\) | −354994. | − | 203647.i | −0.494498 | − | 0.283675i | ||||
\(221\) | −340280. | + | 247228.i | −0.468658 | + | 0.340500i | ||||
\(222\) | 53030.7 | − | 38529.1i | 0.0722179 | − | 0.0524694i | ||||
\(223\) | −45559.6 | − | 140218.i | −0.0613505 | − | 0.188817i | 0.915684 | − | 0.401899i | \(-0.131650\pi\) |
−0.977034 | + | 0.213082i | \(0.931650\pi\) | |||||||
\(224\) | 164893. | 0.219575 | ||||||||
\(225\) | 25063.7 | − | 251881.i | 0.0330057 | − | 0.331695i | ||||
\(226\) | −584504. | −0.761231 | ||||||||
\(227\) | 119781. | + | 368649.i | 0.154285 | + | 0.474842i | 0.998088 | − | 0.0618124i | \(-0.0196880\pi\) |
−0.843802 | + | 0.536654i | \(0.819688\pi\) | |||||||
\(228\) | 184487. | − | 134038.i | 0.235033 | − | 0.170762i | ||||
\(229\) | 172217. | − | 125123.i | 0.217014 | − | 0.157670i | −0.473968 | − | 0.880542i | \(-0.657179\pi\) |
0.690981 | + | 0.722873i | \(0.257179\pi\) | |||||||
\(230\) | 554426. | − | 501995.i | 0.691073 | − | 0.625720i | ||||
\(231\) | 536483. | + | 389778.i | 0.661494 | + | 0.480603i | ||||
\(232\) | −328681. | −0.400917 | ||||||||
\(233\) | −555435. | − | 403547.i | −0.670260 | − | 0.486972i | 0.199852 | − | 0.979826i | \(-0.435954\pi\) |
−0.870112 | + | 0.492854i | \(0.835954\pi\) | |||||||
\(234\) | 25544.1 | − | 78616.6i | 0.0304966 | − | 0.0938588i | ||||
\(235\) | −1.07780e6 | + | 975877.i | −1.27312 | + | 1.15272i | ||||
\(236\) | 30385.3 | + | 93516.4i | 0.0355127 | + | 0.109297i | ||||
\(237\) | −166374. | + | 512047.i | −0.192405 | + | 0.592160i | ||||
\(238\) | 328141. | − | 1.00991e6i | 0.375507 | − | 1.15569i | ||||
\(239\) | −518378. | − | 1.59540e6i | −0.587018 | − | 1.80666i | −0.591009 | − | 0.806665i | \(-0.701270\pi\) |
0.00399048 | − | 0.999992i | \(-0.498730\pi\) | |||||||
\(240\) | −52712.4 | − | 117517.i | −0.0590724 | − | 0.131696i | ||||
\(241\) | −484779. | + | 1.49200e6i | −0.537652 | + | 1.65472i | 0.200196 | + | 0.979756i | \(0.435842\pi\) |
−0.737848 | + | 0.674967i | \(0.764158\pi\) | |||||||
\(242\) | −156352. | − | 113597.i | −0.171619 | − | 0.124689i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 69865.5 | + | 50760.3i | 0.0751257 | + | 0.0545820i | ||||
\(245\) | −507053. | + | 54713.9i | −0.539682 | + | 0.0582348i | ||||
\(246\) | −54432.5 | + | 39547.5i | −0.0573483 | + | 0.0416660i | ||||
\(247\) | 326864. | − | 237480.i | 0.340898 | − | 0.247677i | ||||
\(248\) | −199351. | − | 613539.i | −0.205821 | − | 0.633451i | ||||
\(249\) | −303032. | −0.309734 | ||||||||
\(250\) | −415411. | − | 561885.i | −0.420366 | − | 0.568588i | ||||
\(251\) | −1.08251e6 | −1.08455 | −0.542274 | − | 0.840202i | \(-0.682436\pi\) | ||||
−0.542274 | + | 0.840202i | \(0.682436\pi\) | |||||||
\(252\) | 64489.6 | + | 198478.i | 0.0639717 | + | 0.196885i | ||||
\(253\) | 1.23818e6 | − | 899588.i | 1.21613 | − | 0.883573i | ||||
\(254\) | 53063.8 | − | 38553.1i | 0.0516076 | − | 0.0374951i | ||||
\(255\) | −824650. | + | 88984.4i | −0.794180 | + | 0.0856965i | ||||
\(256\) | −53019.7 | − | 38521.1i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 854843. | 0.807335 | 0.403667 | − | 0.914906i | \(-0.367735\pi\) | ||||
0.403667 | + | 0.914906i | \(0.367735\pi\) | |||||||
\(258\) | 540003. | + | 392335.i | 0.505064 | + | 0.366951i | ||||
\(259\) | −90604.9 | + | 278853.i | −0.0839271 | + | 0.258301i | ||||
\(260\) | −93392.8 | − | 208210.i | −0.0856801 | − | 0.191015i | ||||
\(261\) | −128547. | − | 395627.i | −0.116805 | − | 0.359488i | ||||
\(262\) | 471193. | − | 1.45018e6i | 0.424077 | − | 1.30518i | ||||
\(263\) | −562906. | + | 1.73245e6i | −0.501818 | + | 1.54444i | 0.304237 | + | 0.952596i | \(0.401598\pi\) |
−0.806055 | + | 0.591840i | \(0.798402\pi\) | |||||||
\(264\) | −81443.9 | − | 250658.i | −0.0719198 | − | 0.221346i | ||||
\(265\) | −979757. | + | 887104.i | −0.857045 | + | 0.775997i | ||||
\(266\) | −315203. | + | 970095.i | −0.273141 | + | 0.840640i | ||||
\(267\) | 949288. | + | 689698.i | 0.814929 | + | 0.592081i | ||||
\(268\) | −492830. | −0.419141 | ||||||||
\(269\) | −686682. | − | 498904.i | −0.578595 | − | 0.420374i | 0.259622 | − | 0.965710i | \(-0.416402\pi\) |
−0.838217 | + | 0.545336i | \(0.816402\pi\) | |||||||
\(270\) | 120837. | − | 109410.i | 0.100877 | − | 0.0913369i | ||||
\(271\) | −1.94684e6 | + | 1.41446e6i | −1.61030 | + | 1.16995i | −0.747753 | + | 0.663977i | \(0.768867\pi\) |
−0.862548 | + | 0.505975i | \(0.831133\pi\) | |||||||
\(272\) | −341439. | + | 248070.i | −0.279828 | + | 0.203307i | ||||
\(273\) | 114259. | + | 351653.i | 0.0927862 | + | 0.285567i | ||||
\(274\) | −236427. | −0.190248 | ||||||||
\(275\) | −721796. | − | 1.23434e6i | −0.575550 | − | 0.984248i | ||||
\(276\) | 481653. | 0.380593 | ||||||||
\(277\) | −360576. | − | 1.10974e6i | −0.282357 | − | 0.869004i | −0.987179 | − | 0.159620i | \(-0.948973\pi\) |
0.704822 | − | 0.709384i | \(-0.251027\pi\) | |||||||
\(278\) | 923138. | − | 670699.i | 0.716398 | − | 0.520494i | ||||
\(279\) | 660539. | − | 479910.i | 0.508029 | − | 0.369104i | ||||
\(280\) | 499724. | + | 286673.i | 0.380921 | + | 0.218520i | ||||
\(281\) | 624545. | + | 453758.i | 0.471843 | + | 0.342814i | 0.798159 | − | 0.602447i | \(-0.205807\pi\) |
−0.326316 | + | 0.945261i | \(0.605807\pi\) | |||||||
\(282\) | −936331. | −0.701143 | ||||||||
\(283\) | −1.37183e6 | − | 996692.i | −1.01820 | − | 0.739767i | −0.0522884 | − | 0.998632i | \(-0.516651\pi\) |
−0.965913 | + | 0.258865i | \(0.916651\pi\) | |||||||
\(284\) | 81343.1 | − | 250348.i | 0.0598446 | − | 0.184183i | ||||
\(285\) | 792136. | − | 85476.0i | 0.577680 | − | 0.0623350i | ||||
\(286\) | −144298. | − | 444102.i | −0.104314 | − | 0.321047i | ||||
\(287\) | 92999.9 | − | 286224.i | 0.0666466 | − | 0.205117i | ||||
\(288\) | 25631.1 | − | 78884.4i | 0.0182090 | − | 0.0560415i | ||||
\(289\) | 401114. | + | 1.23450e6i | 0.282503 | + | 0.869454i | ||||
\(290\) | −996099. | − | 571425.i | −0.695517 | − | 0.398992i | ||||
\(291\) | 157820. | − | 485720.i | 0.109252 | − | 0.336243i | ||||
\(292\) | 40651.2 | + | 29534.8i | 0.0279007 | + | 0.0202711i | ||||
\(293\) | −835980. | −0.568888 | −0.284444 | − | 0.958693i | \(-0.591809\pi\) | ||||
−0.284444 | + | 0.958693i | \(0.591809\pi\) | |||||||
\(294\) | −265707. | − | 193047.i | −0.179281 | − | 0.130255i | ||||
\(295\) | −70496.4 | + | 336237.i | −0.0471641 | + | 0.224952i | ||||
\(296\) | 94276.8 | − | 68496.1i | 0.0625426 | − | 0.0454398i | ||||
\(297\) | 269860. | − | 196065.i | 0.177520 | − | 0.128976i | ||||
\(298\) | 444318. | + | 1.36747e6i | 0.289836 | + | 0.892025i | ||||
\(299\) | 853365. | 0.552022 | ||||||||
\(300\) | 44557.7 | − | 447789.i | 0.0285838 | − | 0.287257i | ||||
\(301\) | −2.98564e6 | −1.89942 | ||||||||
\(302\) | 549541. | + | 1.69131e6i | 0.346723 | + | 1.06710i | ||||
\(303\) | −380935. | + | 276766.i | −0.238366 | + | 0.173183i | ||||
\(304\) | 327977. | − | 238289.i | 0.203545 | − | 0.147884i | ||||
\(305\) | 123485. | + | 275298.i | 0.0760092 | + | 0.169455i | ||||
\(306\) | −432134. | − | 313964.i | −0.263824 | − | 0.191680i | ||||
\(307\) | 774991. | 0.469300 | 0.234650 | − | 0.972080i | \(-0.424606\pi\) | ||||
0.234650 | + | 0.972080i | \(0.424606\pi\) | |||||||
\(308\) | 953747. | + | 692938.i | 0.572871 | + | 0.416215i | ||||
\(309\) | −452995. | + | 1.39418e6i | −0.269897 | + | 0.830657i | ||||
\(310\) | 462510. | − | 2.20597e6i | 0.273349 | − | 1.30375i | ||||
\(311\) | 139649. | + | 429794.i | 0.0818721 | + | 0.251976i | 0.983611 | − | 0.180305i | \(-0.0577086\pi\) |
−0.901739 | + | 0.432282i | \(0.857709\pi\) | |||||||
\(312\) | 45411.7 | − | 139763.i | 0.0264108 | − | 0.0812841i | ||||
\(313\) | 256707. | − | 790063.i | 0.148107 | − | 0.455828i | −0.849290 | − | 0.527927i | \(-0.822970\pi\) |
0.997398 | + | 0.0720986i | \(0.0229696\pi\) | |||||||
\(314\) | −189165. | − | 582189.i | −0.108272 | − | 0.333227i | ||||
\(315\) | −149621. | + | 713626.i | −0.0849603 | + | 0.405223i | ||||
\(316\) | −295777. | + | 910306.i | −0.166627 | + | 0.512826i | ||||
\(317\) | 319485. | + | 232119.i | 0.178567 | + | 0.129737i | 0.673479 | − | 0.739207i | \(-0.264799\pi\) |
−0.494911 | + | 0.868944i | \(0.664799\pi\) | |||||||
\(318\) | −851155. | −0.471999 | ||||||||
\(319\) | −1.90110e6 | − | 1.38123e6i | −1.04599 | − | 0.759959i | ||||
\(320\) | −93710.9 | − | 208919.i | −0.0511582 | − | 0.114052i | ||||
\(321\) | −957878. | + | 695939.i | −0.518857 | + | 0.376972i | ||||
\(322\) | −1.74297e6 | + | 1.26635e6i | −0.936810 | + | 0.680632i | ||||
\(323\) | −806760. | − | 2.48295e6i | −0.430267 | − | 1.32422i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 78944.9 | − | 793366.i | 0.0414587 | − | 0.416644i | ||||
\(326\) | −206915. | −0.107832 | ||||||||
\(327\) | 405994. | + | 1.24952e6i | 0.209966 | + | 0.646210i | ||||
\(328\) | −96768.9 | + | 70306.7i | −0.0496651 | + | 0.0360838i | ||||
\(329\) | 3.38834e6 | − | 2.46177e6i | 1.72583 | − | 1.25389i | ||||
\(330\) | 188956. | − | 901238.i | 0.0955161 | − | 0.455570i | ||||
\(331\) | −1.96888e6 | − | 1.43048e6i | −0.987757 | − | 0.717647i | −0.0283279 | − | 0.999599i | \(-0.509018\pi\) |
−0.959429 | + | 0.281952i | \(0.909018\pi\) | |||||||
\(332\) | −538723. | −0.268238 | ||||||||
\(333\) | 119319. | + | 86690.4i | 0.0589657 | + | 0.0428411i | ||||
\(334\) | −429554. | + | 1.32203e6i | −0.210694 | + | 0.648449i | ||||
\(335\) | −1.49357e6 | − | 856805.i | −0.727132 | − | 0.417129i | ||||
\(336\) | 114648. | + | 352851.i | 0.0554011 | + | 0.170507i | ||||
\(337\) | −655978. | + | 2.01889e6i | −0.314640 | + | 0.968363i | 0.661262 | + | 0.750155i | \(0.270021\pi\) |
−0.975902 | + | 0.218208i | \(0.929979\pi\) | |||||||
\(338\) | −378485. | + | 1.16486e6i | −0.180201 | + | 0.554602i | ||||
\(339\) | −406399. | − | 1.25077e6i | −0.192067 | − | 0.591122i | ||||
\(340\) | −1.46604e6 | + | 158194.i | −0.687780 | + | 0.0742154i | ||||
\(341\) | 1.42525e6 | − | 4.38648e6i | 0.663752 | − | 2.04282i | ||||
\(342\) | 415096. | + | 301585.i | 0.191904 | + | 0.139426i | ||||
\(343\) | −1.23733e6 | −0.567870 | ||||||||
\(344\) | 960005. | + | 697485.i | 0.437399 | + | 0.317789i | ||||
\(345\) | 1.45969e6 | + | 837372.i | 0.660259 | + | 0.378766i | ||||
\(346\) | −467653. | + | 339770.i | −0.210007 | + | 0.152579i | ||||
\(347\) | 3.15492e6 | − | 2.29218e6i | 1.40658 | − | 1.02194i | 0.412771 | − | 0.910835i | \(-0.364561\pi\) |
0.993809 | − | 0.111105i | \(-0.0354391\pi\) | |||||||
\(348\) | −228528. | − | 703337.i | −0.101156 | − | 0.311326i | ||||
\(349\) | 1.32819e6 | 0.583709 | 0.291854 | − | 0.956463i | \(-0.405728\pi\) | ||||
0.291854 | + | 0.956463i | \(0.405728\pi\) | |||||||
\(350\) | 1.01607e6 | + | 1.73758e6i | 0.443356 | + | 0.758184i | ||||
\(351\) | 185990. | 0.0805792 | ||||||||
\(352\) | −144789. | − | 445615.i | −0.0622844 | − | 0.191692i | ||||
\(353\) | −2.02432e6 | + | 1.47075e6i | −0.864653 | + | 0.628207i | −0.929147 | − | 0.369711i | \(-0.879457\pi\) |
0.0644937 | + | 0.997918i | \(0.479457\pi\) | |||||||
\(354\) | −178987. | + | 130042.i | −0.0759126 | + | 0.0551537i | ||||
\(355\) | 681759. | − | 617287.i | 0.287118 | − | 0.259966i | ||||
\(356\) | 1.68762e6 | + | 1.22613e6i | 0.705750 | + | 0.512757i | ||||
\(357\) | 2.38924e6 | 0.992178 | ||||||||
\(358\) | −141901. | − | 103097.i | −0.0585163 | − | 0.0425146i | ||||
\(359\) | −58590.2 | + | 180322.i | −0.0239932 | + | 0.0738436i | −0.962336 | − | 0.271862i | \(-0.912360\pi\) |
0.938343 | + | 0.345706i | \(0.112360\pi\) | |||||||
\(360\) | 214821. | − | 194506.i | 0.0873617 | − | 0.0791001i | ||||
\(361\) | 9794.51 | + | 30144.4i | 0.00395562 | + | 0.0121741i | ||||
\(362\) | 75164.3 | − | 231332.i | 0.0301467 | − | 0.0927820i | ||||
\(363\) | 134373. | − | 413557.i | 0.0535236 | − | 0.164729i | ||||
\(364\) | 203127. | + | 625161.i | 0.0803552 | + | 0.247308i | ||||
\(365\) | 71849.8 | + | 160182.i | 0.0282289 | + | 0.0629333i | ||||
\(366\) | −60044.1 | + | 184797.i | −0.0234297 | + | 0.0721093i | ||||
\(367\) | −485608. | − | 352815.i | −0.188201 | − | 0.136736i | 0.489695 | − | 0.871894i | \(-0.337108\pi\) |
−0.677896 | + | 0.735158i | \(0.737108\pi\) | |||||||
\(368\) | 856271. | 0.329603 | ||||||||
\(369\) | −122473. | − | 88981.9i | −0.0468247 | − | 0.0340201i | ||||
\(370\) | 404798. | − | 43680.0i | 0.153721 | − | 0.0165874i | ||||
\(371\) | 3.08011e6 | − | 2.23783e6i | 1.16180 | − | 0.844097i | ||||
\(372\) | 1.17429e6 | − | 853173.i | 0.439966 | − | 0.319654i | ||||
\(373\) | 479229. | + | 1.47492e6i | 0.178349 | + | 0.548903i | 0.999771 | − | 0.0214192i | \(-0.00681847\pi\) |
−0.821421 | + | 0.570322i | \(0.806818\pi\) | |||||||
\(374\) | −3.01738e6 | −1.11545 | ||||||||
\(375\) | 913535. | − | 1.27960e6i | 0.335465 | − | 0.469890i | ||||
\(376\) | −1.66459e6 | −0.607208 | ||||||||
\(377\) | −404893. | − | 1.24613e6i | −0.146719 | − | 0.451555i | ||||
\(378\) | −379881. | + | 275999.i | −0.136747 | + | 0.0993525i | ||||
\(379\) | 571102. | − | 414930.i | 0.204228 | − | 0.148380i | −0.480970 | − | 0.876737i | \(-0.659716\pi\) |
0.685198 | + | 0.728357i | \(0.259716\pi\) | |||||||
\(380\) | 1.40824e6 | − | 151957.i | 0.500286 | − | 0.0539837i | ||||
\(381\) | 119394. | + | 86744.5i | 0.0421375 | + | 0.0306147i | ||||
\(382\) | −1.21135e6 | −0.424728 | ||||||||
\(383\) | 3.69147e6 | + | 2.68201e6i | 1.28589 | + | 0.934251i | 0.999714 | − | 0.0239271i | \(-0.00761695\pi\) |
0.286173 | + | 0.958178i | \(0.407617\pi\) | |||||||
\(384\) | 45566.4 | − | 140239.i | 0.0157695 | − | 0.0485334i | ||||
\(385\) | 1.68572e6 | + | 3.75814e6i | 0.579608 | + | 1.29218i | ||||
\(386\) | 1.16849e6 | + | 3.59625e6i | 0.399170 | + | 1.22852i | ||||
\(387\) | −464091. | + | 1.42833e6i | −0.157516 | + | 0.484786i | ||||
\(388\) | 280569. | − | 863502.i | 0.0946150 | − | 0.291195i | ||||
\(389\) | 683516. | + | 2.10364e6i | 0.229021 | + | 0.704853i | 0.997859 | + | 0.0654091i | \(0.0208352\pi\) |
−0.768838 | + | 0.639444i | \(0.779165\pi\) | |||||||
\(390\) | 380608. | − | 344615.i | 0.126712 | − | 0.114729i | ||||
\(391\) | 1.70400e6 | − | 5.24437e6i | 0.563674 | − | 1.73481i | ||||
\(392\) | −472367. | − | 343195.i | −0.155262 | − | 0.112804i | ||||
\(393\) | 3.43082e6 | 1.12051 | ||||||||
\(394\) | −2.67860e6 | − | 1.94612e6i | −0.869296 | − | 0.631580i | ||||
\(395\) | −2.47898e6 | + | 2.24455e6i | −0.799431 | + | 0.723830i | ||||
\(396\) | 479751. | − | 348560.i | 0.153737 | − | 0.111696i | ||||
\(397\) | −901076. | + | 654670.i | −0.286936 | + | 0.208471i | −0.721937 | − | 0.691959i | \(-0.756748\pi\) |
0.435001 | + | 0.900430i | \(0.356748\pi\) | |||||||
\(398\) | 249752. | + | 768658.i | 0.0790317 | + | 0.243235i | ||||
\(399\) | −2.29504e6 | −0.721703 | ||||||||
\(400\) | 79213.8 | − | 796069.i | 0.0247543 | − | 0.248771i | ||||
\(401\) | −3.47897e6 | −1.08041 | −0.540206 | − | 0.841533i | \(-0.681654\pi\) | ||||
−0.540206 | + | 0.841533i | \(0.681654\pi\) | |||||||
\(402\) | −342659. | − | 1.05460e6i | −0.105754 | − | 0.325477i | ||||
\(403\) | 2.08054e6 | − | 1.51160e6i | 0.638138 | − | 0.463634i | ||||
\(404\) | −677218. | + | 492028.i | −0.206431 | + | 0.149981i | ||||
\(405\) | 318140. | + | 182505.i | 0.0963786 | + | 0.0552888i | ||||
\(406\) | 2.67617e6 | + | 1.94435e6i | 0.805748 | + | 0.585410i | ||||
\(407\) | 833146. | 0.249307 | ||||||||
\(408\) | −768238. | − | 558158.i | −0.228479 | − | 0.165999i | ||||
\(409\) | 735672. | − | 2.26417e6i | 0.217458 | − | 0.669268i | −0.781511 | − | 0.623891i | \(-0.785551\pi\) |
0.998970 | − | 0.0453774i | \(-0.0144490\pi\) | |||||||
\(410\) | −415498. | + | 44834.6i | −0.122070 | + | 0.0131721i | ||||
\(411\) | −164385. | − | 505925.i | −0.0480018 | − | 0.147734i | ||||
\(412\) | −805325. | + | 2.47854e6i | −0.233737 | + | 0.719370i | ||||
\(413\) | 305806. | − | 941174.i | 0.0882208 | − | 0.271516i | ||||
\(414\) | 334887. | + | 1.03068e6i | 0.0960280 | + | 0.295544i | ||||
\(415\) | −1.63265e6 | − | 936591.i | −0.465343 | − | 0.266950i | ||||
\(416\) | 80732.0 | − | 248467.i | 0.0228724 | − | 0.0703941i | ||||
\(417\) | 2.07706e6 | + | 1.50907e6i | 0.584937 | + | 0.424981i | ||||
\(418\) | 2.89841e6 | 0.811370 | ||||||||
\(419\) | 620891. | + | 451104.i | 0.172775 | + | 0.125528i | 0.670812 | − | 0.741627i | \(-0.265946\pi\) |
−0.498037 | + | 0.867156i | \(0.665946\pi\) | |||||||
\(420\) | −265993. | + | 1.26867e6i | −0.0735778 | + | 0.350933i | ||||
\(421\) | −574949. | + | 417725.i | −0.158097 | + | 0.114864i | −0.664021 | − | 0.747714i | \(-0.731152\pi\) |
0.505924 | + | 0.862578i | \(0.331152\pi\) | |||||||
\(422\) | 2.73475e6 | − | 1.98691e6i | 0.747543 | − | 0.543122i | ||||
\(423\) | −651020. | − | 2.00363e6i | −0.176906 | − | 0.544462i | ||||
\(424\) | −1.51316e6 | −0.408763 | ||||||||
\(425\) | −4.71801e6 | − | 2.06935e6i | −1.26703 | − | 0.555728i | ||||
\(426\) | 592272. | 0.158124 | ||||||||
\(427\) | −268578. | − | 826597.i | −0.0712853 | − | 0.219394i | ||||
\(428\) | −1.70289e6 | + | 1.23722e6i | −0.449343 | + | 0.326467i | ||||
\(429\) | 849996. | − | 617558.i | 0.222984 | − | 0.162007i | ||||
\(430\) | 1.69678e6 | + | 3.78280e6i | 0.442543 | + | 0.986603i | ||||
\(431\) | 2.27241e6 | + | 1.65100e6i | 0.589240 | + | 0.428108i | 0.842044 | − | 0.539409i | \(-0.181352\pi\) |
−0.252803 | + | 0.967518i | \(0.581352\pi\) | |||||||
\(432\) | 186624. | 0.0481125 | ||||||||
\(433\) | −2.79236e6 | − | 2.02877e6i | −0.715733 | − | 0.520011i | 0.169285 | − | 0.985567i | \(-0.445854\pi\) |
−0.885018 | + | 0.465557i | \(0.845854\pi\) | |||||||
\(434\) | −2.00632e6 | + | 6.17482e6i | −0.511300 | + | 1.57362i | ||||
\(435\) | 530203. | − | 2.52883e6i | 0.134344 | − | 0.640763i | ||||
\(436\) | 721766. | + | 2.22137e6i | 0.181836 | + | 0.559634i | ||||
\(437\) | −1.63682e6 | + | 5.03760e6i | −0.410012 | + | 1.26189i | ||||
\(438\) | −34936.6 | + | 107524.i | −0.00870152 | + | 0.0267805i | ||||
\(439\) | 548616. | + | 1.68847e6i | 0.135865 | + | 0.418149i | 0.995724 | − | 0.0923832i | \(-0.0294485\pi\) |
−0.859859 | + | 0.510532i | \(0.829448\pi\) | |||||||
\(440\) | 335922. | − | 1.60220e6i | 0.0827194 | − | 0.394535i | ||||
\(441\) | 228354. | − | 702803.i | 0.0559130 | − | 0.172083i | ||||
\(442\) | −1.36112e6 | − | 988912.i | −0.331391 | − | 0.240770i | ||||
\(443\) | −737408. | −0.178525 | −0.0892624 | − | 0.996008i | \(-0.528451\pi\) | ||||
−0.0892624 | + | 0.996008i | \(0.528451\pi\) | |||||||
\(444\) | 212123. | + | 154116.i | 0.0510658 | + | 0.0371015i | ||||
\(445\) | 2.98283e6 | + | 6.64991e6i | 0.714049 | + | 1.59190i | ||||
\(446\) | 477107. | − | 346638.i | 0.113574 | − | 0.0825162i | ||||
\(447\) | −2.61729e6 | + | 1.90157e6i | −0.619559 | + | 0.450136i | ||||
\(448\) | 203819. | + | 627290.i | 0.0479788 | + | 0.147664i | ||||
\(449\) | 934181. | 0.218683 | 0.109341 | − | 0.994004i | \(-0.465126\pi\) | ||||
0.109341 | + | 0.994004i | \(0.465126\pi\) | |||||||
\(450\) | 989193. | − | 215994.i | 0.230277 | − | 0.0502818i | ||||
\(451\) | −855169. | −0.197975 | ||||||||
\(452\) | −722487. | − | 2.22359e6i | −0.166335 | − | 0.511927i | ||||
\(453\) | −3.23711e6 | + | 2.35190e6i | −0.741161 | + | 0.538485i | ||||
\(454\) | −1.25437e6 | + | 911351.i | −0.285618 | + | 0.207513i | ||||
\(455\) | −471271. | + | 2.24775e6i | −0.106719 | + | 0.509003i | ||||
\(456\) | 737949. | + | 536151.i | 0.166193 | + | 0.120747i | ||||
\(457\) | 5.75606e6 | 1.28924 | 0.644622 | − | 0.764502i | \(-0.277015\pi\) | ||||
0.644622 | + | 0.764502i | \(0.277015\pi\) | |||||||
\(458\) | 688868. | + | 500492.i | 0.153452 | + | 0.111489i | ||||
\(459\) | 371386. | − | 1.14301e6i | 0.0822799 | − | 0.253232i | ||||
\(460\) | 2.59501e6 | + | 1.48866e6i | 0.571801 | + | 0.328021i | ||||
\(461\) | 1.53253e6 | + | 4.71663e6i | 0.335858 | + | 1.03366i | 0.966298 | + | 0.257426i | \(0.0828744\pi\) |
−0.630440 | + | 0.776238i | \(0.717126\pi\) | |||||||
\(462\) | −819673. | + | 2.52269e6i | −0.178663 | + | 0.549869i | ||||
\(463\) | −1.55564e6 | + | 4.78777e6i | −0.337254 | + | 1.03796i | 0.628348 | + | 0.777933i | \(0.283732\pi\) |
−0.965601 | + | 0.260027i | \(0.916268\pi\) | |||||||
\(464\) | −406272. | − | 1.25038e6i | −0.0876036 | − | 0.269616i | ||||
\(465\) | 5.04208e6 | − | 544069.i | 1.08138 | − | 0.116687i | ||||
\(466\) | 848629. | − | 2.61181e6i | 0.181031 | − | 0.557156i | ||||
\(467\) | −4.44494e6 | − | 3.22944e6i | −0.943135 | − | 0.685228i | 0.00603816 | − | 0.999982i | \(-0.498078\pi\) |
−0.949173 | + | 0.314754i | \(0.898078\pi\) | |||||||
\(468\) | 330650. | 0.0697836 | ||||||||
\(469\) | 4.01270e6 | + | 2.91540e6i | 0.842374 | + | 0.612020i | ||||
\(470\) | −5.04470e6 | − | 2.89395e6i | −1.05339 | − | 0.604292i | ||||
\(471\) | 1.11429e6 | − | 809579.i | 0.231444 | − | 0.168154i | ||||
\(472\) | −318199. | + | 231185.i | −0.0657422 | + | 0.0477645i | ||||
\(473\) | 2.62163e6 | + | 8.06856e6i | 0.538789 | + | 1.65822i | ||||
\(474\) | −2.15359e6 | −0.440269 | ||||||||
\(475\) | 4.53199e6 | + | 1.98776e6i | 0.921627 | + | 0.404232i | ||||
\(476\) | 4.24754e6 | 0.859252 | ||||||||
\(477\) | −591798. | − | 1.82137e6i | −0.119091 | − | 0.366523i | ||||
\(478\) | 5.42852e6 | − | 3.94405e6i | 1.08671 | − | 0.789538i | ||||
\(479\) | 2.70137e6 | − | 1.96266e6i | 0.537953 | − | 0.390846i | −0.285371 | − | 0.958417i | \(-0.592117\pi\) |
0.823324 | + | 0.567571i | \(0.192117\pi\) | |||||||
\(480\) | 381904. | − | 345789.i | 0.0756574 | − | 0.0685027i | ||||
\(481\) | 375827. | + | 273054.i | 0.0740671 | + | 0.0538129i | ||||
\(482\) | −6.27511e6 | −1.23028 | ||||||||
\(483\) | −3.92169e6 | − | 2.84928e6i | −0.764902 | − | 0.555734i | ||||
\(484\) | 238885. | − | 735213.i | 0.0463528 | − | 0.142659i | ||||
\(485\) | 2.35152e6 | − | 2.12914e6i | 0.453936 | − | 0.411008i | ||||
\(486\) | 72988.6 | + | 224636.i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | 2.13892e6 | − | 6.58292e6i | 0.408669 | − | 1.25775i | −0.509123 | − | 0.860694i | \(-0.670030\pi\) |
0.917792 | − | 0.397061i | \(-0.129970\pi\) | |||||||
\(488\) | −106745. | + | 328527.i | −0.0202908 | + | 0.0624485i | ||||
\(489\) | −143866. | − | 442773.i | −0.0272073 | − | 0.0837354i | ||||
\(490\) | −834896. | − | 1.86131e6i | −0.157088 | − | 0.350211i | ||||
\(491\) | 1.37179e6 | − | 4.22192e6i | 0.256793 | − | 0.790326i | −0.736679 | − | 0.676243i | \(-0.763607\pi\) |
0.993471 | − | 0.114083i | \(-0.0363931\pi\) | |||||||
\(492\) | −217730. | − | 158190.i | −0.0405514 | − | 0.0294623i | ||||
\(493\) | −8.46663e6 | −1.56889 | ||||||||
\(494\) | 1.30746e6 | + | 949922.i | 0.241051 | + | 0.175134i | ||||
\(495\) | 2.05992e6 | − | 222277.i | 0.377865 | − | 0.0407738i | ||||
\(496\) | 2.08763e6 | − | 1.51675e6i | 0.381021 | − | 0.276828i | ||||
\(497\) | −2.14328e6 | + | 1.55718e6i | −0.389213 | + | 0.282780i | ||||
\(498\) | −374568. | − | 1.15280e6i | −0.0676795 | − | 0.208296i | ||||
\(499\) | 5.19536e6 | 0.934037 | 0.467019 | − | 0.884247i | \(-0.345328\pi\) | ||||
0.467019 | + | 0.884247i | \(0.345328\pi\) | |||||||
\(500\) | 1.62406e6 | − | 2.27485e6i | 0.290521 | − | 0.406937i | ||||
\(501\) | −3.12765e6 | −0.556703 | ||||||||
\(502\) | −1.33806e6 | − | 4.11812e6i | −0.236982 | − | 0.729356i | ||||
\(503\) | −3.70637e6 | + | 2.69283e6i | −0.653173 | + | 0.474558i | −0.864351 | − | 0.502889i | \(-0.832270\pi\) |
0.211177 | + | 0.977448i | \(0.432270\pi\) | |||||||
\(504\) | −675343. | + | 490666.i | −0.118426 | + | 0.0860418i | ||||
\(505\) | −2.90778e6 | + | 313766.i | −0.507380 | + | 0.0547492i | ||||
\(506\) | 4.95271e6 | + | 3.59835e6i | 0.859936 | + | 0.624780i | ||||
\(507\) | −2.75581e6 | −0.476134 | ||||||||
\(508\) | 212255. | + | 154212.i | 0.0364921 | + | 0.0265131i | ||||
\(509\) | 1.07525e6 | − | 3.30928e6i | 0.183956 | − | 0.566160i | −0.815972 | − | 0.578091i | \(-0.803798\pi\) |
0.999929 | + | 0.0119312i | \(0.00379790\pi\) | |||||||
\(510\) | −1.35784e6 | − | 3.02716e6i | −0.231166 | − | 0.515360i | ||||
\(511\) | −156271. | − | 480954.i | −0.0264745 | − | 0.0814801i | ||||
\(512\) | 81007.0 | − | 249314.i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −356743. | + | 1.09794e6i | −0.0598498 | + | 0.184199i | ||||
\(514\) | 1.05664e6 | + | 3.25202e6i | 0.176409 | + | 0.542932i | ||||
\(515\) | −6.74965e6 | + | 6.11135e6i | −1.12141 | + | 1.01536i | ||||
\(516\) | −825051. | + | 2.53925e6i | −0.136413 | + | 0.419837i | ||||
\(517\) | −9.62805e6 | − | 6.99519e6i | −1.58421 | − | 1.15099i | ||||
\(518\) | −1.17281e6 | −0.192046 | ||||||||
\(519\) | −1.05222e6 | − | 764482.i | −0.171470 | − | 0.124580i | ||||
\(520\) | 676637. | − | 612649.i | 0.109735 | − | 0.0993581i | ||||
\(521\) | 5.82323e6 | − | 4.23082e6i | 0.939874 | − | 0.682858i | −0.00851643 | − | 0.999964i | \(-0.502711\pi\) |
0.948390 | + | 0.317105i | \(0.102711\pi\) | |||||||
\(522\) | 1.34616e6 | − | 978044.i | 0.216232 | − | 0.157102i | ||||
\(523\) | −1.33204e6 | − | 4.09960e6i | −0.212943 | − | 0.655371i | −0.999293 | − | 0.0375902i | \(-0.988032\pi\) |
0.786350 | − | 0.617781i | \(-0.211968\pi\) | |||||||
\(524\) | 6.09924e6 | 0.970393 | ||||||||
\(525\) | −3.01175e6 | + | 3.38238e6i | −0.476892 | + | 0.535580i | ||||
\(526\) | −7.28640e6 | −1.14828 | ||||||||
\(527\) | −5.13516e6 | − | 1.58044e7i | −0.805430 | − | 2.47886i | ||||
\(528\) | 852891. | − | 619662.i | 0.133140 | − | 0.0967320i | ||||
\(529\) | −3.84397e6 | + | 2.79281e6i | −0.597229 | + | 0.433912i | ||||
\(530\) | −4.58579e6 | − | 2.63070e6i | −0.709128 | − | 0.406800i | ||||
\(531\) | −402721. | − | 292594.i | −0.0619823 | − | 0.0450328i | ||||
\(532\) | −4.08007e6 | −0.625013 | ||||||||
\(533\) | −385762. | − | 280272.i | −0.0588167 | − | 0.0427329i | ||||
\(534\) | −1.45038e6 | + | 4.46382e6i | −0.220105 | + | 0.677413i | ||||
\(535\) | −7.31175e6 | + | 788979.i | −1.10443 | + | 0.119174i | ||||
\(536\) | −609172. | − | 1.87484e6i | −0.0915857 | − | 0.281872i | ||||
\(537\) | 121953. | − | 375332.i | 0.0182497 | − | 0.0561669i | ||||
\(538\) | 1.04916e6 | − | 3.22897e6i | 0.156273 | − | 0.480960i | ||||
\(539\) | −1.28997e6 | − | 3.97011e6i | −0.191252 | − | 0.588613i | ||||
\(540\) | 565582. | + | 324453.i | 0.0834663 | + | 0.0478815i | ||||
\(541\) | 1.87349e6 | − | 5.76600e6i | 0.275206 | − | 0.846996i | −0.713959 | − | 0.700187i | \(-0.753100\pi\) |
0.989165 | − | 0.146809i | \(-0.0469002\pi\) | |||||||
\(542\) | −7.78736e6 | − | 5.65785e6i | −1.13865 | − | 0.827281i | ||||
\(543\) | 547282. | 0.0796548 | ||||||||
\(544\) | −1.36576e6 | − | 992280.i | −0.197868 | − | 0.143760i | ||||
\(545\) | −1.67456e6 | + | 7.98689e6i | −0.241495 | + | 1.15182i | ||||
\(546\) | −1.19653e6 | + | 869334.i | −0.171769 | + | 0.124797i | ||||
\(547\) | 7.33505e6 | − | 5.32923e6i | 1.04818 | − | 0.761546i | 0.0763124 | − | 0.997084i | \(-0.475685\pi\) |
0.971865 | + | 0.235538i | \(0.0756854\pi\) | |||||||
\(548\) | −292240. | − | 899422.i | −0.0415708 | − | 0.127942i | ||||
\(549\) | −437190. | −0.0619070 | ||||||||
\(550\) | 3.80354e6 | − | 4.27161e6i | 0.536143 | − | 0.602122i | ||||
\(551\) | 8.13281e6 | 1.14120 | ||||||||
\(552\) | 595355. | + | 1.83232e6i | 0.0831627 | + | 0.255948i | ||||
\(553\) | 7.79329e6 | − | 5.66216e6i | 1.08370 | − | 0.787353i | ||||
\(554\) | 3.77601e6 | − | 2.74343e6i | 0.522707 | − | 0.379769i | ||||
\(555\) | 374921. | + | 835848.i | 0.0516663 | + | 0.115185i | ||||
\(556\) | 3.69255e6 | + | 2.68279e6i | 0.506570 | + | 0.368045i | ||||
\(557\) | 2.19310e6 | 0.299517 | 0.149758 | − | 0.988723i | \(-0.452150\pi\) | ||||
0.149758 | + | 0.988723i | \(0.452150\pi\) | |||||||
\(558\) | 2.64216e6 | + | 1.91964e6i | 0.359231 | + | 0.260996i | ||||
\(559\) | −1.46178e6 | + | 4.49889e6i | −0.197857 | + | 0.608942i | ||||
\(560\) | −472876. | + | 2.25541e6i | −0.0637202 | + | 0.303917i | ||||
\(561\) | −2.09795e6 | − | 6.45681e6i | −0.281441 | − | 0.866186i | ||||
\(562\) | −954219. | + | 2.93678e6i | −0.127440 | + | 0.392221i | ||||
\(563\) | −3.42989e6 | + | 1.05561e7i | −0.456047 | + | 1.40357i | 0.413854 | + | 0.910343i | \(0.364182\pi\) |
−0.869902 | + | 0.493225i | \(0.835818\pi\) | |||||||
\(564\) | −1.15737e6 | − | 3.56202e6i | −0.153205 | − | 0.471518i | ||||
\(565\) | 1.67623e6 | − | 7.99487e6i | 0.220908 | − | 1.05363i | ||||
\(566\) | 2.09597e6 | − | 6.45073e6i | 0.275007 | − | 0.846384i | ||||
\(567\) | −854732. | − | 620999.i | −0.111653 | − | 0.0811210i | ||||
\(568\) | 1.05293e6 | 0.136939 | ||||||||
\(569\) | −2.73524e6 | − | 1.98727e6i | −0.354172 | − | 0.257321i | 0.396445 | − | 0.918058i | \(-0.370244\pi\) |
−0.750617 | + | 0.660737i | \(0.770244\pi\) | |||||||
\(570\) | 1.30430e6 | + | 2.90781e6i | 0.168148 | + | 0.374868i | ||||
\(571\) | −2.94320e6 | + | 2.13836e6i | −0.377772 | + | 0.274468i | −0.760427 | − | 0.649424i | \(-0.775010\pi\) |
0.382654 | + | 0.923892i | \(0.375010\pi\) | |||||||
\(572\) | 1.51110e6 | − | 1.09788e6i | 0.193110 | − | 0.140303i | ||||
\(573\) | −842237. | − | 2.59214e6i | −0.107164 | − | 0.329816i | ||||
\(574\) | 1.20382e6 | 0.152504 | ||||||||
\(575\) | 5.27633e6 | + | 9.02306e6i | 0.665522 | + | 1.13811i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 4.01338e6 | + | 1.23519e7i | 0.501847 | + | 1.54453i | 0.806008 | + | 0.591905i | \(0.201624\pi\) |
−0.304161 | + | 0.952621i | \(0.598376\pi\) | |||||||
\(578\) | −4.20052e6 | + | 3.05185e6i | −0.522978 | + | 0.379965i | ||||
\(579\) | −6.88310e6 | + | 5.00087e6i | −0.853273 | + | 0.619939i | ||||
\(580\) | 942584. | − | 4.49571e6i | 0.116346 | − | 0.554917i | ||||
\(581\) | 4.38637e6 | + | 3.18688e6i | 0.539094 | + | 0.391675i | ||||
\(582\) | 2.04286e6 | 0.249995 | ||||||||
\(583\) | −8.75220e6 | − | 6.35885e6i | −1.06646 | − | 0.774831i | ||||
\(584\) | −62109.5 | + | 191153.i | −0.00753573 | + | 0.0231926i | ||||
\(585\) | 1.00207e6 | + | 574848.i | 0.121062 | + | 0.0694486i | ||||
\(586\) | −1.03333e6 | − | 3.18026e6i | −0.124307 | − | 0.382576i | ||||
\(587\) | −2.02396e6 | + | 6.22912e6i | −0.242442 | + | 0.746160i | 0.753605 | + | 0.657328i | \(0.228313\pi\) |
−0.996047 | + | 0.0888317i | \(0.971687\pi\) | |||||||
\(588\) | 405963. | − | 1.24943e6i | 0.0484221 | − | 0.149028i | ||||
\(589\) | 4.93270e6 | + | 1.51813e7i | 0.585863 | + | 1.80310i | ||||
\(590\) | −1.36626e6 | + | 147427.i | −0.161586 | + | 0.0174360i | ||||
\(591\) | 2.30205e6 | − | 7.08499e6i | 0.271111 | − | 0.834393i | ||||
\(592\) | 377107. | + | 273985.i | 0.0442243 | + | 0.0321308i | ||||
\(593\) | −1.48651e7 | −1.73593 | −0.867963 | − | 0.496629i | \(-0.834571\pi\) | ||||
−0.867963 | + | 0.496629i | \(0.834571\pi\) | |||||||
\(594\) | 1.07944e6 | + | 784260.i | 0.125526 | + | 0.0911998i | ||||
\(595\) | 1.28726e7 | + | 7.38452e6i | 1.49064 | + | 0.855126i | ||||
\(596\) | −4.65296e6 | + | 3.38057e6i | −0.536554 | + | 0.389829i | ||||
\(597\) | −1.47118e6 | + | 1.06888e6i | −0.168939 | + | 0.122742i | ||||
\(598\) | 1.05482e6 | + | 3.24639e6i | 0.120621 | + | 0.371234i | ||||
\(599\) | 965073. | 0.109899 | 0.0549494 | − | 0.998489i | \(-0.482500\pi\) | ||||
0.0549494 | + | 0.998489i | \(0.482500\pi\) | |||||||
\(600\) | 1.75857e6 | − | 383989.i | 0.199425 | − | 0.0435453i | ||||
\(601\) | 9.02699e6 | 1.01943 | 0.509715 | − | 0.860344i | \(-0.329751\pi\) | ||||
0.509715 | + | 0.860344i | \(0.329751\pi\) | |||||||
\(602\) | −3.69046e6 | − | 1.13581e7i | −0.415039 | − | 1.27736i | ||||
\(603\) | 2.01846e6 | − | 1.46650e6i | 0.226062 | − | 0.164243i | ||||
\(604\) | −5.75487e6 | + | 4.18116e6i | −0.641864 | + | 0.466342i | ||||
\(605\) | 2.00216e6 | − | 1.81282e6i | 0.222388 | − | 0.201357i | ||||
\(606\) | −1.52374e6 | − | 1.10706e6i | −0.168550 | − | 0.122459i | ||||
\(607\) | −29976.0 | −0.00330219 | −0.00165110 | − | 0.999999i | \(-0.500526\pi\) | ||||
−0.00165110 | + | 0.999999i | \(0.500526\pi\) | |||||||
\(608\) | 1.31191e6 | + | 953157.i | 0.143928 | + | 0.104570i | ||||
\(609\) | −2.29997e6 | + | 7.07857e6i | −0.251292 | + | 0.773397i | ||||
\(610\) | −894659. | + | 810053.i | −0.0973494 | + | 0.0881433i | ||||
\(611\) | −2.05056e6 | − | 6.31098e6i | −0.222213 | − | 0.683901i | ||||
\(612\) | 660242. | − | 2.03202e6i | 0.0712565 | − | 0.219305i | ||||
\(613\) | −2.76667e6 | + | 8.51494e6i | −0.297376 | + | 0.915230i | 0.685037 | + | 0.728509i | \(0.259786\pi\) |
−0.982413 | + | 0.186722i | \(0.940214\pi\) | |||||||
\(614\) | 957941. | + | 2.94824e6i | 0.102546 | + | 0.315604i | ||||
\(615\) | −384832. | − | 857943.i | −0.0410283 | − | 0.0914683i | ||||
\(616\) | −1.45720e6 | + | 4.48479e6i | −0.154727 | + | 0.476201i | ||||
\(617\) | 2.31469e6 | + | 1.68172e6i | 0.244782 | + | 0.177845i | 0.703411 | − | 0.710783i | \(-0.251659\pi\) |
−0.458629 | + | 0.888628i | \(0.651659\pi\) | |||||||
\(618\) | −5.86370e6 | −0.617590 | ||||||||
\(619\) | −1.06634e7 | − | 7.74738e6i | −1.11858 | − | 0.812697i | −0.134588 | − | 0.990902i | \(-0.542971\pi\) |
−0.983993 | + | 0.178205i | \(0.942971\pi\) | |||||||
\(620\) | 8.96370e6 | − | 967234.i | 0.936501 | − | 0.101054i | ||||
\(621\) | −1.97268e6 | + | 1.43324e6i | −0.205271 | + | 0.149138i | ||||
\(622\) | −1.46242e6 | + | 1.06251e6i | −0.151564 | + | 0.110118i | ||||
\(623\) | −6.48758e6 | − | 1.99667e7i | −0.669672 | − | 2.06104i | ||||
\(624\) | 587822. | 0.0604344 | ||||||||
\(625\) | 8.87679e6 | − | 4.07064e6i | 0.908983 | − | 0.416834i | ||||
\(626\) | 3.32289e6 | 0.338906 | ||||||||
\(627\) | 2.01523e6 | + | 6.20224e6i | 0.204718 | + | 0.630057i | ||||
\(628\) | 1.98096e6 | − | 1.43925e6i | 0.200436 | − | 0.145625i | ||||
\(629\) | 2.42851e6 | − | 1.76442e6i | 0.244745 | − | 0.177818i | ||||
\(630\) | −2.89973e6 | + | 312898.i | −0.291076 | + | 0.0314088i | ||||
\(631\) | 7.40268e6 | + | 5.37836e6i | 0.740143 | + | 0.537746i | 0.892756 | − | 0.450541i | \(-0.148769\pi\) |
−0.152613 | + | 0.988286i | \(0.548769\pi\) | |||||||
\(632\) | −3.82861e6 | −0.381284 | ||||||||
\(633\) | 6.15318e6 | + | 4.47055e6i | 0.610366 | + | 0.443457i | ||||
\(634\) | −488130. | + | 1.50231e6i | −0.0482294 | + | 0.148435i | ||||
\(635\) | 375155. | + | 836370.i | 0.0369213 | + | 0.0823121i | ||||
\(636\) | −1.05209e6 | − | 3.23799e6i | −0.103136 | − | 0.317418i | ||||
\(637\) | 719263. | − | 2.21366e6i | 0.0702327 | − | 0.216154i | ||||
\(638\) | 2.90463e6 | − | 8.93953e6i | 0.282513 | − | 0.869486i | ||||
\(639\) | 411800. | + | 1.26739e6i | 0.0398964 | + | 0.122789i | ||||
\(640\) | 678941. | − | 614735.i | 0.0655213 | − | 0.0593251i | ||||
\(641\) | −3.60931e6 | + | 1.11083e7i | −0.346960 | + | 1.06783i | 0.613566 | + | 0.789643i | \(0.289734\pi\) |
−0.960526 | + | 0.278190i | \(0.910266\pi\) | |||||||
\(642\) | −3.83151e6 | − | 2.78376e6i | −0.366887 | − | 0.266559i | ||||
\(643\) | −9.13585e6 | −0.871408 | −0.435704 | − | 0.900090i | \(-0.643501\pi\) | ||||
−0.435704 | + | 0.900090i | \(0.643501\pi\) | |||||||
\(644\) | −6.97190e6 | − | 5.06538e6i | −0.662424 | − | 0.481280i | ||||
\(645\) | −6.91498e6 | + | 6.26104e6i | −0.654473 | + | 0.592581i | ||||
\(646\) | 8.44850e6 | − | 6.13819e6i | 0.796523 | − | 0.578708i | ||||
\(647\) | −8.61705e6 | + | 6.26066e6i | −0.809279 | + | 0.587975i | −0.913621 | − | 0.406566i | \(-0.866726\pi\) |
0.104343 | + | 0.994541i | \(0.466726\pi\) | |||||||
\(648\) | 129757. | + | 399352.i | 0.0121393 | + | 0.0373610i | ||||
\(649\) | −2.81200e6 | −0.262062 | ||||||||
\(650\) | 3.11573e6 | − | 680330.i | 0.289252 | − | 0.0631592i | ||||
\(651\) | −1.46083e7 | −1.35098 | ||||||||
\(652\) | −255761. | − | 787153.i | −0.0235622 | − | 0.0725170i | ||||
\(653\) | −1.29776e7 | + | 9.42875e6i | −1.19100 | + | 0.865309i | −0.993369 | − | 0.114968i | \(-0.963323\pi\) |
−0.197627 | + | 0.980277i | \(0.563323\pi\) | |||||||
\(654\) | −4.25162e6 | + | 3.08898e6i | −0.388696 | + | 0.282404i | ||||
\(655\) | 1.84843e7 | + | 1.06038e7i | 1.68345 | + | 0.965734i | ||||
\(656\) | −387076. | − | 281227.i | −0.0351185 | − | 0.0255151i | ||||
\(657\) | −254378. | −0.0229915 | ||||||||
\(658\) | 1.35534e7 | + | 9.84709e6i | 1.22034 | + | 0.886631i | ||||
\(659\) | 2.33327e6 | − | 7.18108e6i | 0.209292 | − | 0.644134i | −0.790218 | − | 0.612826i | \(-0.790033\pi\) |
0.999510 | − | 0.0313082i | \(-0.00996734\pi\) | |||||||
\(660\) | 3.66208e6 | − | 395159.i | 0.327241 | − | 0.0353111i | ||||
\(661\) | −6.41313e6 | − | 1.97376e7i | −0.570908 | − | 1.75707i | −0.649707 | − | 0.760184i | \(-0.725109\pi\) |
0.0787990 | − | 0.996891i | \(-0.474891\pi\) | |||||||
\(662\) | 3.00819e6 | − | 9.25824e6i | 0.266784 | − | 0.821076i | ||||
\(663\) | 1.16978e6 | − | 3.60021e6i | 0.103352 | − | 0.318086i | ||||
\(664\) | −665898. | − | 2.04942e6i | −0.0586121 | − | 0.180390i | ||||
\(665\) | −1.23651e7 | − | 7.09337e6i | −1.08428 | − | 0.622012i | ||||
\(666\) | −182303. | + | 561072.i | −0.0159261 | + | 0.0490155i | ||||
\(667\) | 1.38971e7 | + | 1.00968e7i | 1.20951 | + | 0.878760i | ||||
\(668\) | −5.56027e6 | −0.482119 | ||||||||
\(669\) | 1.07349e6 | + | 779936.i | 0.0927327 | + | 0.0673742i | ||||
\(670\) | 1.41333e6 | − | 6.74094e6i | 0.121634 | − | 0.580141i | ||||
\(671\) | −1.99801e6 | + | 1.45164e6i | −0.171313 | + | 0.124466i | ||||
\(672\) | −1.20061e6 | + | 872295.i | −0.102560 | + | 0.0745144i | ||||
\(673\) | −994347. | − | 3.06028e6i | −0.0846253 | − | 0.260450i | 0.899786 | − | 0.436331i | \(-0.143722\pi\) |
−0.984411 | + | 0.175881i | \(0.943722\pi\) | |||||||
\(674\) | −8.49115e6 | −0.719974 | ||||||||
\(675\) | 1.14997e6 | + | 1.96657e6i | 0.0971469 | + | 0.166131i | ||||
\(676\) | −4.89922e6 | −0.412344 | ||||||||
\(677\) | −4.00827e6 | − | 1.23362e7i | −0.336113 | − | 1.03445i | −0.966171 | − | 0.257901i | \(-0.916969\pi\) |
0.630059 | − | 0.776548i | \(-0.283031\pi\) | |||||||
\(678\) | 4.25587e6 | − | 3.09207e6i | 0.355561 | − | 0.258330i | ||||
\(679\) | −7.39259e6 | + | 5.37103e6i | −0.615350 | + | 0.447078i | ||||
\(680\) | −2.41394e6 | − | 5.38162e6i | −0.200195 | − | 0.446315i | ||||
\(681\) | −2.82233e6 | − | 2.05054e6i | −0.233206 | − | 0.169434i | ||||
\(682\) | 1.84489e7 | 1.51883 | ||||||||
\(683\) | 1.69241e7 | + | 1.22960e7i | 1.38820 | + | 1.00859i | 0.996060 | + | 0.0886837i | \(0.0282660\pi\) |
0.392143 | + | 0.919904i | \(0.371734\pi\) | |||||||
\(684\) | −634210. | + | 1.95190e6i | −0.0518314 | + | 0.159521i | ||||
\(685\) | 678020. | − | 3.23386e6i | 0.0552098 | − | 0.263326i | ||||
\(686\) | −1.52942e6 | − | 4.70707e6i | −0.124084 | − | 0.381892i | ||||
\(687\) | −592029. | + | 1.82208e6i | −0.0478576 | + | 0.147291i | ||||
\(688\) | −1.46676e6 | + | 4.51421e6i | −0.118137 | + | 0.363589i | ||||
\(689\) | −1.86403e6 | − | 5.73688e6i | −0.149590 | − | 0.460392i | ||||
\(690\) | −1.38127e6 | + | 6.58806e6i | −0.110448 | + | 0.526786i | ||||
\(691\) | −920841. | + | 2.83406e6i | −0.0733651 | + | 0.225795i | −0.981014 | − | 0.193935i | \(-0.937875\pi\) |
0.907649 | + | 0.419729i | \(0.137875\pi\) | |||||||
\(692\) | −1.87061e6 | − | 1.35908e6i | −0.148497 | − | 0.107890i | ||||
\(693\) | −5.96816e6 | −0.472071 | ||||||||
\(694\) | 1.26197e7 | + | 9.16873e6i | 0.994602 | + | 0.722621i | ||||
\(695\) | 6.52648e6 | + | 1.45501e7i | 0.512527 | + | 1.14263i | ||||
\(696\) | 2.39318e6 | − | 1.73874e6i | 0.187263 | − | 0.136054i | ||||
\(697\) | −2.49271e6 | + | 1.81106e6i | −0.194352 | + | 0.141205i | ||||
\(698\) | 1.64173e6 | + | 5.05273e6i | 0.127545 | + | 0.392543i | ||||
\(699\) | 6.17900e6 | 0.478327 | ||||||||
\(700\) | −5.35422e6 | + | 6.01312e6i | −0.413001 | + | 0.463826i | ||||
\(701\) | −644574. | −0.0495425 | −0.0247713 | − | 0.999693i | \(-0.507886\pi\) | ||||
−0.0247713 | + | 0.999693i | \(0.507886\pi\) | |||||||
\(702\) | 229897. | + | 707550.i | 0.0176072 | + | 0.0541894i | ||||
\(703\) | −2.33277e6 | + | 1.69485e6i | −0.178026 | + | 0.129343i | ||||
\(704\) | 1.51625e6 | − | 1.10162e6i | 0.115303 | − | 0.0837723i | ||||
\(705\) | 2.68519e6 | − | 1.28072e7i | 0.203471 | − | 0.970466i | ||||
\(706\) | −8.09727e6 | − | 5.88301e6i | −0.611402 | − | 0.444210i | ||||
\(707\) | 8.42467e6 | 0.633876 | ||||||||
\(708\) | −715948. | − | 520167.i | −0.0536783 | − | 0.0389996i | ||||
\(709\) | −891372. | + | 2.74336e6i | −0.0665953 | + | 0.204959i | −0.978817 | − | 0.204738i | \(-0.934366\pi\) |
0.912221 | + | 0.409697i | \(0.134366\pi\) | |||||||
\(710\) | 3.19100e6 | + | 1.83056e6i | 0.237564 | + | 0.136282i | ||||
\(711\) | −1.49737e6 | − | 4.60843e6i | −0.111085 | − | 0.341884i | ||||
\(712\) | −2.57846e6 | + | 7.93568e6i | −0.190616 | + | 0.586657i | ||||
\(713\) | −1.04186e7 | + | 3.20652e7i | −0.767513 | + | 2.36216i | ||||
\(714\) | 2.95327e6 | + | 9.08922e6i | 0.216799 | + | 0.667239i | ||||
\(715\) | 6.48826e6 | − | 700120.i | 0.474638 | − | 0.0512162i | ||||
\(716\) | 216805. | − | 667257.i | 0.0158047 | − | 0.0486419i | ||||
\(717\) | 1.22142e7 | + | 8.87412e6i | 0.887292 | + | 0.644655i | ||||
\(718\) | −758408. | −0.0549024 | ||||||||
\(719\) | 2.11167e7 | + | 1.53422e7i | 1.52337 | + | 1.10679i | 0.959786 | + | 0.280731i | \(0.0905769\pi\) |
0.563581 | + | 0.826060i | \(0.309423\pi\) | |||||||
\(720\) | 1.00548e6 | + | 576806.i | 0.0722839 | + | 0.0414666i | ||||
\(721\) | 2.12192e7 | − | 1.54166e7i | 1.52016 | − | 1.10446i | ||||
\(722\) | −102569. | + | 74521.0i | −0.00732276 | + | 0.00532030i | ||||
\(723\) | −4.36301e6 | − | 1.34280e7i | −0.310414 | − | 0.955355i | ||||
\(724\) | 972947. | 0.0689831 | ||||||||
\(725\) | 1.06726e7 | − | 1.19859e7i | 0.754090 | − | 0.846891i | ||||
\(726\) | 1.73936e6 | 0.122475 | ||||||||
\(727\) | −2.24692e6 | − | 6.91532e6i | −0.157671 | − | 0.485262i | 0.840751 | − | 0.541423i | \(-0.182114\pi\) |
−0.998422 | + | 0.0561608i | \(0.982114\pi\) | |||||||
\(728\) | −2.12717e6 | + | 1.54548e6i | −0.148756 | + | 0.108078i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −520556. | + | 471328.i | −0.0361543 | + | 0.0327353i | ||||
\(731\) | 2.47292e7 | + | 1.79668e7i | 1.71165 | + | 1.24359i | ||||
\(732\) | −777227. | −0.0536130 | ||||||||
\(733\) | −4.54838e6 | − | 3.30459e6i | −0.312678 | − | 0.227174i | 0.420367 | − | 0.907354i | \(-0.361901\pi\) |
−0.733045 | + | 0.680181i | \(0.761901\pi\) | |||||||
\(734\) | 741944. | − | 2.28347e6i | 0.0508312 | − | 0.156442i | ||||
\(735\) | 3.40249e6 | − | 3.08072e6i | 0.232316 | − | 0.210346i | ||||
\(736\) | 1.05841e6 | + | 3.25745e6i | 0.0720210 | + | 0.221658i | ||||
\(737\) | 4.35525e6 | − | 1.34041e7i | 0.295355 | − | 0.909010i | ||||
\(738\) | 187122. | − | 575903.i | 0.0126469 | − | 0.0389232i | ||||
\(739\) | −2.44824e6 | − | 7.53490e6i | −0.164908 | − | 0.507535i | 0.834121 | − | 0.551581i | \(-0.185975\pi\) |
−0.999030 | + | 0.0440457i | \(0.985975\pi\) | |||||||
\(740\) | 666527. | + | 1.48595e6i | 0.0447444 | + | 0.0997529i | ||||
\(741\) | −1.12366e6 | + | 3.45826e6i | −0.0751776 | + | 0.231373i | ||||
\(742\) | 1.23204e7 | + | 8.95132e6i | 0.821516 | + | 0.596866i | ||||
\(743\) | 1.02748e7 | 0.682811 | 0.341406 | − | 0.939916i | \(-0.389097\pi\) | ||||
0.341406 | + | 0.939916i | \(0.389097\pi\) | |||||||
\(744\) | 4.69717e6 | + | 3.41269e6i | 0.311103 | + | 0.226029i | ||||
\(745\) | −1.99785e7 | + | 2.15579e6i | −1.31878 | + | 0.142304i | ||||
\(746\) | −5.01856e6 | + | 3.64619e6i | −0.330166 | + | 0.239879i | ||||
\(747\) | 2.20642e6 | − | 1.60306e6i | 0.144673 | − | 0.105111i | ||||
\(748\) | −3.72968e6 | − | 1.14788e7i | −0.243735 | − | 0.750139i | ||||
\(749\) | 2.11842e7 | 1.37977 | ||||||||
\(750\) | 5.99708e6 | + | 1.89362e6i | 0.389302 | + | 0.122925i | ||||
\(751\) | −2.45834e7 | −1.59053 | −0.795266 | − | 0.606261i | \(-0.792669\pi\) | ||||
−0.795266 | + | 0.606261i | \(0.792669\pi\) | |||||||
\(752\) | −2.05755e6 | − | 6.33247e6i | −0.132680 | − | 0.408346i | ||||
\(753\) | 7.88194e6 | − | 5.72656e6i | 0.506577 | − | 0.368050i | ||||
\(754\) | 4.24009e6 | − | 3.08061e6i | 0.271611 | − | 0.197337i | ||||
\(755\) | −2.47098e7 | + | 2.66633e6i | −1.57762 | + | 0.170234i | ||||
\(756\) | −1.51952e6 | − | 1.10400e6i | −0.0966947 | − | 0.0702528i | ||||
\(757\) | 1.99942e7 | 1.26813 | 0.634065 | − | 0.773280i | \(-0.281385\pi\) | ||||
0.634065 | + | 0.773280i | \(0.281385\pi\) | |||||||
\(758\) | 2.28441e6 | + | 1.65972e6i | 0.144411 | + | 0.104921i | ||||
\(759\) | −4.25647e6 | + | 1.31001e7i | −0.268192 | + | 0.825409i | ||||
\(760\) | 2.31876e6 | + | 5.16944e6i | 0.145620 | + | 0.324646i | ||||
\(761\) | −1.71836e6 | − | 5.28856e6i | −0.107560 | − | 0.331036i | 0.882763 | − | 0.469819i | \(-0.155681\pi\) |
−0.990323 | + | 0.138783i | \(0.955681\pi\) | |||||||
\(762\) | −182417. | + | 561422.i | −0.0113809 | + | 0.0350269i | ||||
\(763\) | 7.26405e6 | − | 2.23564e7i | 0.451718 | − | 1.39025i | ||||
\(764\) | −1.49731e6 | − | 4.60825e6i | −0.0928065 | − | 0.285629i | ||||
\(765\) | 5.53367e6 | − | 5.01036e6i | 0.341869 | − | 0.309539i | ||||
\(766\) | −5.64007e6 | + | 1.73583e7i | −0.347306 | + | 1.06890i | ||||
\(767\) | −1.26848e6 | − | 921602.i | −0.0778564 | − | 0.0565660i | ||||
\(768\) | 589824. | 0.0360844 | ||||||||
\(769\) | 5.85945e6 | + | 4.25714e6i | 0.357306 | + | 0.259598i | 0.751928 | − | 0.659246i | \(-0.229124\pi\) |
−0.394621 | + | 0.918844i | \(0.629124\pi\) | |||||||
\(770\) | −1.22132e7 | + | 1.10582e7i | −0.742337 | + | 0.672136i | ||||
\(771\) | −6.22425e6 | + | 4.52218e6i | −0.377095 | + | 0.273976i | ||||
\(772\) | −1.22366e7 | + | 8.89043e6i | −0.738956 | + | 0.536883i | ||||
\(773\) | 3.32689e6 | + | 1.02391e7i | 0.200258 | + | 0.616330i | 0.999875 | + | 0.0158201i | \(0.00503590\pi\) |
−0.799617 | + | 0.600510i | \(0.794964\pi\) | |||||||
\(774\) | −6.00732e6 | −0.360436 | ||||||||
\(775\) | 2.88469e7 | + | 1.26525e7i | 1.72522 | + | 0.756694i | ||||
\(776\) | 3.63176e6 | 0.216502 | ||||||||
\(777\) | −815444. | − | 2.50968e6i | −0.0484554 | − | 0.149130i | ||||
\(778\) | −7.15787e6 | + | 5.20050e6i | −0.423970 | + | 0.308032i | ||||
\(779\) | 2.39443e6 | − | 1.73965e6i | 0.141370 | − | 0.102712i | ||||
\(780\) | 1.78145e6 | + | 1.02195e6i | 0.104842 | + | 0.0601442i | ||||
\(781\) | 6.09018e6 | + | 4.42477e6i | 0.357275 | + | 0.259575i | ||||
\(782\) | 2.20570e7 | 1.28982 | ||||||||
\(783\) | 3.02886e6 | + | 2.20060e6i | 0.176553 | + | 0.128273i | ||||
\(784\) | 721713. | − | 2.22120e6i | 0.0419348 | − | 0.129062i | ||||
\(785\) | 8.50568e6 | − | 917811.i | 0.492646 | − | 0.0531593i | ||||
\(786\) | 4.24073e6 | + | 1.30516e7i | 0.244841 | + | 0.753544i | ||||
\(787\) | −9.45883e6 | + | 2.91113e7i | −0.544378 | + | 1.67542i | 0.178085 | + | 0.984015i | \(0.443010\pi\) |
−0.722464 | + | 0.691409i | \(0.756990\pi\) | |||||||
\(788\) | 4.09254e6 | − | 1.25955e7i | 0.234789 | − | 0.722606i | ||||
\(789\) | −5.06615e6 | − | 1.55920e7i | −0.289725 | − | 0.891681i | ||||
\(790\) | −1.16030e7 | − | 6.65619e6i | −0.661457 | − | 0.379453i | ||||
\(791\) | −7.27130e6 | + | 2.23788e7i | −0.413210 | + | 1.27173i | ||||
\(792\) | 1.91901e6 | + | 1.39424e6i | 0.108708 | + | 0.0789813i | ||||
\(793\) | −1.37705e6 | −0.0777617 | ||||||||
\(794\) | −3.60430e6 | − | 2.61868e6i | −0.202894 | − | 0.147411i | ||||
\(795\) | 2.44092e6 | − | 1.16421e7i | 0.136973 | − | 0.653302i | ||||
\(796\) | −2.61544e6 | + | 1.90023e6i | −0.146306 | + | 0.106297i | ||||
\(797\) | 2.08713e7 | − | 1.51639e7i | 1.16387 | − | 0.845601i | 0.173608 | − | 0.984815i | \(-0.444458\pi\) |
0.990262 | + | 0.139214i | \(0.0444575\pi\) | |||||||
\(798\) | −2.83683e6 | − | 8.73086e6i | −0.157698 | − | 0.485344i | ||||
\(799\) | −4.28788e7 | −2.37616 | ||||||||
\(800\) | 3.12634e6 | − | 682648.i | 0.172707 | − | 0.0377113i | ||||
\(801\) | −1.05605e7 | −0.581570 | ||||||||
\(802\) | −4.30024e6 | − | 1.32348e7i | −0.236079 | − | 0.726576i | ||||
\(803\) | −1.16254e6 | + | 844632.i | −0.0636235 | + | 0.0462252i | ||||
\(804\) | 3.58837e6 | − | 2.60710e6i | 0.195775 | − | 0.142239i | ||||
\(805\) | −1.23226e7 | − | 2.74720e7i | −0.670215 | − | 1.49417i | ||||
\(806\) | 8.32218e6 | + | 6.04641e6i | 0.451231 | + | 0.327839i | ||||
\(807\) | 7.63907e6 | 0.412911 | ||||||||
\(808\) | −2.70887e6 | − | 1.96811e6i | −0.145969 | − | 0.106053i | ||||
\(809\) | 9.65001e6 | − | 2.96997e7i | 0.518390 | − | 1.59544i | −0.258639 | − | 0.965974i | \(-0.583274\pi\) |
0.777028 | − | 0.629466i | \(-0.216726\pi\) | |||||||
\(810\) | −301048. | + | 1.43586e6i | −0.0161221 | + | 0.0768955i | ||||
\(811\) | −4.18392e6 | − | 1.28768e7i | −0.223373 | − | 0.687472i | −0.998453 | − | 0.0556084i | \(-0.982290\pi\) |
0.775079 | − | 0.631864i | \(-0.217710\pi\) | |||||||
\(812\) | −4.08883e6 | + | 1.25841e7i | −0.217625 | + | 0.669781i | ||||
\(813\) | 6.69264e6 | − | 2.05978e7i | 0.355117 | − | 1.09294i | ||||
\(814\) | 1.02982e6 | + | 3.16947e6i | 0.0544756 | + | 0.167659i | ||||
\(815\) | 593387. | − | 2.83019e6i | 0.0312928 | − | 0.149253i | ||||
\(816\) | 1.17376e6 | − | 3.61247e6i | 0.0617100 | − | 0.189924i | ||||
\(817\) | −2.37542e7 | − | 1.72584e7i | −1.24504 | − | 0.904577i | ||||
\(818\) | 9.52274e6 | 0.497598 | ||||||||
\(819\) | −2.69220e6 | − | 1.95600e6i | −0.140248 | − | 0.101896i | ||||
\(820\) | −684145. | − | 1.52523e6i | −0.0355315 | − | 0.0792138i | ||||
\(821\) | −7.39681e6 | + | 5.37410e6i | −0.382989 | + | 0.278258i | −0.762577 | − | 0.646898i | \(-0.776066\pi\) |
0.379587 | + | 0.925156i | \(0.376066\pi\) | |||||||
\(822\) | 1.72146e6 | − | 1.25072e6i | 0.0888624 | − | 0.0645623i | ||||
\(823\) | 2.95400e6 | + | 9.09147e6i | 0.152023 | + | 0.467880i | 0.997847 | − | 0.0655825i | \(-0.0208905\pi\) |
−0.845824 | + | 0.533463i | \(0.820891\pi\) | |||||||
\(824\) | −1.04243e7 | −0.534849 | ||||||||
\(825\) | 1.17853e7 | + | 5.16910e6i | 0.602844 | + | 0.264411i | ||||
\(826\) | 3.95844e6 | 0.201871 | ||||||||
\(827\) | 2.74124e6 | + | 8.43666e6i | 0.139374 | + | 0.428950i | 0.996245 | − | 0.0865818i | \(-0.0275944\pi\) |
−0.856870 | + | 0.515532i | \(0.827594\pi\) | |||||||
\(828\) | −3.50699e6 | + | 2.54797e6i | −0.177770 | + | 0.129157i | ||||
\(829\) | −8.51484e6 | + | 6.18639e6i | −0.430319 | + | 0.312645i | −0.781776 | − | 0.623559i | \(-0.785686\pi\) |
0.351458 | + | 0.936204i | \(0.385686\pi\) | |||||||
\(830\) | 1.54494e6 | − | 7.36866e6i | 0.0778423 | − | 0.371273i | ||||
\(831\) | 8.49601e6 | + | 6.17271e6i | 0.426788 | + | 0.310080i | ||||
\(832\) | 1.04502e6 | 0.0523377 | ||||||||
\(833\) | −1.21679e7 | − | 8.84049e6i | −0.607579 | − | 0.441432i | ||||
\(834\) | −3.17346e6 | + | 9.76692e6i | −0.157986 | + | 0.486231i | ||||
\(835\) | −1.68509e7 | − | 9.66675e6i | −0.836387 | − | 0.479804i | ||||
\(836\) | 3.58263e6 | + | 1.10262e7i | 0.177291 | + | 0.545645i | ||||
\(837\) | −2.27073e6 | + | 6.98860e6i | −0.112035 | + | 0.344807i | ||||
\(838\) | −948637. | + | 2.91961e6i | −0.0466649 | + | 0.143620i | ||||
\(839\) | 8.93343e6 | + | 2.74943e7i | 0.438141 | + | 1.34846i | 0.889834 | + | 0.456285i | \(0.150820\pi\) |
−0.451693 | + | 0.892173i | \(0.649180\pi\) | |||||||
\(840\) | −5.15508e6 | + | 556263.i | −0.252080 | + | 0.0272008i | ||||
\(841\) | 1.81197e6 | − | 5.57666e6i | 0.0883406 | − | 0.271884i | ||||
\(842\) | −2.29979e6 | − | 1.67090e6i | −0.111792 | − | 0.0812213i | ||||
\(843\) | −6.94782e6 | −0.336728 | ||||||||
\(844\) | 1.09390e7 | + | 7.94764e6i | 0.528593 | + | 0.384045i | ||||
\(845\) | −1.48476e7 | − | 8.51749e6i | −0.715341 | − | 0.410364i | ||||
\(846\) | 6.81757e6 | − | 4.95326e6i | 0.327494 | − | 0.237939i | ||||
\(847\) | −6.29429e6 | + | 4.57307e6i | −0.301466 | + | 0.219028i | ||||
\(848\) | −1.87037e6 | − | 5.75642e6i | −0.0893180 | − | 0.274892i | ||||
\(849\) | 1.52611e7 | 0.726634 | ||||||||
\(850\) | 2.04050e6 | − | 2.05063e7i | 0.0968700 | − | 0.973507i | ||||
\(851\) | −6.09030e6 | −0.288280 | ||||||||
\(852\) | 732088. | + | 2.25314e6i | 0.0345513 | + | 0.106338i | ||||
\(853\) | 1.26505e6 | − | 919116.i | 0.0595301 | − | 0.0432512i | −0.557622 | − | 0.830095i | \(-0.688286\pi\) |
0.617152 | + | 0.786844i | \(0.288286\pi\) | |||||||
\(854\) | 2.81258e6 | − | 2.04346e6i | 0.131966 | − | 0.0958786i | ||||
\(855\) | −5.31549e6 | + | 4.81282e6i | −0.248673 | + | 0.225156i | ||||
\(856\) | −6.81158e6 | − | 4.94890e6i | −0.317734 | − | 0.230847i | ||||
\(857\) | −3.94817e6 | −0.183630 | −0.0918151 | − | 0.995776i | \(-0.529267\pi\) | ||||
−0.0918151 | + | 0.995776i | \(0.529267\pi\) | |||||||
\(858\) | 3.39998e6 | + | 2.47023e6i | 0.157674 | + | 0.114557i | ||||
\(859\) | 9.95622e6 | − | 3.06421e7i | 0.460375 | − | 1.41689i | −0.404333 | − | 0.914612i | \(-0.632496\pi\) |
0.864708 | − | 0.502276i | \(-0.167504\pi\) | |||||||
\(860\) | −1.22933e7 | + | 1.11307e7i | −0.566790 | + | 0.513190i | ||||
\(861\) | 836999. | + | 2.57602e6i | 0.0384784 | + | 0.118424i | ||||
\(862\) | −3.47193e6 | + | 1.06855e7i | −0.159148 | + | 0.489808i | ||||
\(863\) | −1.95777e6 | + | 6.02539e6i | −0.0894817 | + | 0.275396i | −0.985776 | − | 0.168063i | \(-0.946249\pi\) |
0.896295 | + | 0.443459i | \(0.146249\pi\) | |||||||
\(864\) | 230680. | + | 709960.i | 0.0105130 | + | 0.0323556i | ||||
\(865\) | −3.30626e6 | − | 7.37096e6i | −0.150244 | − | 0.334953i | ||||
\(866\) | 4.26634e6 | − | 1.31304e7i | 0.193313 | − | 0.594956i | ||||
\(867\) | −9.45116e6 | − | 6.86667e6i | −0.427009 | − | 0.310240i | ||||
\(868\) | −2.59704e7 | −1.16998 | ||||||||
\(869\) | −2.21448e7 | − | 1.60892e7i | −0.994771 | − | 0.722744i | ||||
\(870\) | 1.02756e7 | − | 1.10880e6i | 0.460267 | − | 0.0496655i | ||||
\(871\) | 6.35767e6 | − | 4.61912e6i | 0.283957 | − | 0.206307i | ||||
\(872\) | −7.55844e6 | + | 5.49153e6i | −0.336621 | + | 0.244569i | ||||
\(873\) | 1.42038e6 | + | 4.37148e6i | 0.0630766 | + | 0.194130i | ||||
\(874\) | −2.11874e7 | −0.938207 | ||||||||
\(875\) | −2.66805e7 | + | 8.91482e6i | −1.17808 | + | 0.393634i | ||||
\(876\) | −452228. | −0.0199112 | ||||||||
\(877\) | 6.78195e6 | + | 2.08727e7i | 0.297753 | + | 0.916389i | 0.982283 | + | 0.187404i | \(0.0600075\pi\) |
−0.684530 | + | 0.728985i | \(0.739993\pi\) | |||||||
\(878\) | −5.74518e6 | + | 4.17412e6i | −0.251517 | + | 0.182738i | ||||
\(879\) | 6.08690e6 | − | 4.42239e6i | 0.265720 | − | 0.193057i | ||||
\(880\) | 6.51036e6 | − | 702504.i | 0.283399 | − | 0.0305803i | ||||
\(881\) | −1.92473e7 | − | 1.39840e7i | −0.835468 | − | 0.607003i | 0.0856331 | − | 0.996327i | \(-0.472709\pi\) |
−0.921101 | + | 0.389324i | \(0.872709\pi\) | |||||||
\(882\) | 2.95588e6 | 0.127943 | ||||||||
\(883\) | 3.77542e6 | + | 2.74300e6i | 0.162953 | + | 0.118392i | 0.666273 | − | 0.745708i | \(-0.267888\pi\) |
−0.503320 | + | 0.864100i | \(0.667888\pi\) | |||||||
\(884\) | 2.07961e6 | − | 6.40037e6i | 0.0895057 | − | 0.275470i | ||||
\(885\) | −1.26542e6 | − | 2.82112e6i | −0.0543096 | − | 0.121078i | ||||
\(886\) | −911486. | − | 2.80527e6i | −0.0390091 | − | 0.120058i | ||||
\(887\) | −1.82448e6 | + | 5.61518e6i | −0.0778629 | + | 0.239637i | −0.982410 | − | 0.186736i | \(-0.940209\pi\) |
0.904547 | + | 0.426373i | \(0.140209\pi\) | |||||||
\(888\) | −324095. | + | 997462.i | −0.0137924 | + | 0.0424486i | ||||
\(889\) | −815953. | − | 2.51124e6i | −0.0346267 | − | 0.106570i | ||||
\(890\) | −2.16108e7 | + | 1.95671e7i | −0.914524 | + | 0.828040i | ||||
\(891\) | −927697. | + | 2.85516e6i | −0.0391482 | + | 0.120486i | ||||
\(892\) | 1.90843e6 | + | 1.38655e6i | 0.0803088 | + | 0.0583478i | ||||
\(893\) | 4.11882e7 | 1.72840 | ||||||||
\(894\) | −1.04692e7 | − | 7.60628e6i | −0.438094 | − | 0.318294i | ||||
\(895\) | 1.81710e6 | − | 1.64526e6i | 0.0758266 | − | 0.0686559i | ||||
\(896\) | −2.13442e6 | + | 1.55075e6i | −0.0888198 | + | 0.0645313i | ||||
\(897\) | −6.21348e6 | + | 4.51436e6i | −0.257842 | + | 0.187333i | ||||
\(898\) | 1.15471e6 | + | 3.55383e6i | 0.0477840 | + | 0.147064i | ||||
\(899\) | 5.17667e7 | 2.13625 | ||||||||
\(900\) | 2.04440e6 | + | 3.49613e6i | 0.0841317 | + | 0.143874i | ||||
\(901\) | −3.89782e7 | −1.59959 | ||||||||
\(902\) | −1.05705e6 | − | 3.25325e6i | −0.0432591 | − | 0.133138i | ||||
\(903\) | 2.17389e7 | − | 1.57943e7i | 0.887194 | − | 0.644584i | ||||
\(904\) | 7.56598e6 | − | 5.49701e6i | 0.307925 | − | 0.223720i | ||||
\(905\) | 2.94861e6 | + | 1.69151e6i | 0.119673 | + | 0.0686518i | ||||
\(906\) | −1.29485e7 | − | 9.40760e6i | −0.524080 | − | 0.380766i | ||||
\(907\) | 1.99300e7 | 0.804433 | 0.402216 | − | 0.915545i | \(-0.368240\pi\) | ||||
0.402216 | + | 0.915545i | \(0.368240\pi\) | |||||||
\(908\) | −5.01747e6 | − | 3.64541e6i | −0.201962 | − | 0.146734i | ||||
\(909\) | 1.30954e6 | − | 4.03035e6i | 0.0525664 | − | 0.161783i | ||||
\(910\) | −9.13348e6 | + | 985555.i | −0.365623 | + | 0.0394527i | ||||
\(911\) | −6.95947e6 | − | 2.14190e7i | −0.277831 | − | 0.855075i | −0.988457 | − | 0.151505i | \(-0.951588\pi\) |
0.710626 | − | 0.703570i | \(-0.248412\pi\) | |||||||
\(912\) | −1.12749e6 | + | 3.47004e6i | −0.0448873 | + | 0.138149i | ||||
\(913\) | 4.76082e6 | − | 1.46523e7i | 0.189019 | − | 0.581739i | ||||
\(914\) | 7.11488e6 | + | 2.18974e7i | 0.281710 | + | 0.867014i | ||||
\(915\) | −2.35546e6 | − | 1.35124e6i | −0.0930086 | − | 0.0533556i | ||||
\(916\) | −1.05250e6 | + | 3.23925e6i | −0.0414459 | + | 0.127557i | ||||
\(917\) | −4.96610e7 | − | 3.60809e7i | −1.95026 | − | 1.41695i | ||||
\(918\) | 4.80732e6 | 0.188277 | ||||||||
\(919\) | −1.81507e7 | − | 1.31873e7i | −0.708932 | − | 0.515070i | 0.173897 | − | 0.984764i | \(-0.444364\pi\) |
−0.882829 | + | 0.469694i | \(0.844364\pi\) | |||||||
\(920\) | −2.45559e6 | + | 1.17121e7i | −0.0956505 | + | 0.456210i | ||||
\(921\) | −5.64283e6 | + | 4.09975e6i | −0.219204 | + | 0.159261i | ||||
\(922\) | −1.60488e7 | + | 1.16601e7i | −0.621750 | + | 0.451728i | ||||
\(923\) | 1.29707e6 | + | 3.99198e6i | 0.0501141 | + | 0.154235i | ||||
\(924\) | −1.06101e7 | −0.408826 | ||||||||
\(925\) | −563415. | + | 5.66210e6i | −0.0216508 | + | 0.217582i | ||||
\(926\) | −2.01366e7 | −0.771719 | ||||||||
\(927\) | −4.07696e6 | − | 1.25476e7i | −0.155825 | − | 0.479580i | ||||
\(928\) | 4.25454e6 | − | 3.09110e6i | 0.162174 | − | 0.117827i | ||||
\(929\) | −2.21371e7 | + | 1.60835e7i | −0.841552 | + | 0.611423i | −0.922804 | − | 0.385270i | \(-0.874108\pi\) |
0.0812516 | + | 0.996694i | \(0.474108\pi\) | |||||||
\(930\) | 8.30212e6 | + | 1.85087e7i | 0.314761 | + | 0.701728i | ||||
\(931\) | 1.16881e7 | + | 8.49194e6i | 0.441948 | + | 0.321094i | ||||
\(932\) | 1.09849e7 | 0.414243 | ||||||||
\(933\) | −3.29044e6 | − | 2.39065e6i | −0.123751 | − | 0.0899107i | ||||
\(934\) | 6.79127e6 | − | 2.09014e7i | 0.254732 | − | 0.783985i | ||||
\(935\) | 8.65316e6 | − | 4.12717e7i | 0.323702 | − | 1.54392i | ||||
\(936\) | 408706. | + | 1.25787e6i | 0.0152483 | + | 0.0469294i | ||||
\(937\) | −9.50294e6 | + | 2.92470e7i | −0.353597 | + | 1.08826i | 0.603221 | + | 0.797574i | \(0.293884\pi\) |
−0.956818 | + | 0.290686i | \(0.906116\pi\) | |||||||
\(938\) | −6.13086e6 | + | 1.88689e7i | −0.227517 | + | 0.700226i | ||||
\(939\) | 2.31036e6 | + | 7.11057e6i | 0.0855099 | + | 0.263172i | ||||
\(940\) | 4.77367e6 | − | 2.27683e7i | 0.176211 | − | 0.840448i | ||||
\(941\) | −1.20548e7 | + | 3.71008e7i | −0.443798 | + | 1.36587i | 0.439998 | + | 0.897999i | \(0.354979\pi\) |
−0.883796 | + | 0.467872i | \(0.845021\pi\) | |||||||
\(942\) | 4.45716e6 | + | 3.23831e6i | 0.163656 | + | 0.118903i | ||||
\(943\) | 6.25129e6 | 0.228923 | ||||||||
\(944\) | −1.27280e6 | − | 924741.i | −0.0464868 | − | 0.0337746i | ||||
\(945\) | −2.68571e6 | − | 5.98752e6i | −0.0978319 | − | 0.218106i | ||||
\(946\) | −2.74541e7 | + | 1.99466e7i | −0.997423 | + | 0.724670i | ||||
\(947\) | −2.36132e7 | + | 1.71560e7i | −0.855619 | + | 0.621643i | −0.926689 | − | 0.375828i | \(-0.877358\pi\) |
0.0710708 | + | 0.997471i | \(0.477358\pi\) | |||||||
\(948\) | −2.66199e6 | − | 8.19276e6i | −0.0962023 | − | 0.296080i | ||||
\(949\) | −801233. | −0.0288797 | ||||||||
\(950\) | −1.96005e6 | + | 1.96977e7i | −0.0704624 | + | 0.708121i | ||||
\(951\) | −3.55415e6 | −0.127434 | ||||||||
\(952\) | 5.25025e6 | + | 1.61586e7i | 0.187753 | + | 0.577845i | ||||
\(953\) | 4.23458e7 | − | 3.07660e7i | 1.51035 | − | 1.09734i | 0.544332 | − | 0.838870i | \(-0.316783\pi\) |
0.966021 | − | 0.258465i | \(-0.0832168\pi\) | |||||||
\(954\) | 6.19739e6 | − | 4.50267e6i | 0.220464 | − | 0.160177i | ||||
\(955\) | 3.47388e6 | − | 1.65689e7i | 0.123256 | − | 0.587874i | ||||
\(956\) | 2.17141e7 | + | 1.57762e7i | 0.768417 | + | 0.558288i | ||||
\(957\) | 2.11490e7 | 0.746467 | ||||||||
\(958\) | 1.08055e7 | + | 7.85063e6i | 0.380391 | + | 0.276370i | ||||
\(959\) | −2.94118e6 | + | 9.05202e6i | −0.103270 | + | 0.317833i | ||||
\(960\) | 1.78752e6 | + | 1.02543e6i | 0.0625997 | + | 0.0359111i | ||||
\(961\) | 2.25506e7 | + | 6.94035e7i | 0.787678 | + | 2.42422i | ||||
\(962\) | −574213. | + | 1.76725e6i | −0.0200048 | + | 0.0615686i | ||||
\(963\) | 3.29289e6 | − | 1.01345e7i | 0.114423 | − | 0.352156i | ||||
\(964\) | −7.75647e6 | − | 2.38719e7i | −0.268826 | − | 0.827361i | ||||
\(965\) | −5.25406e7 | + | 5.66943e6i | −1.81626 | + | 0.195984i | ||||
\(966\) | 5.99181e6 | − | 1.84409e7i | 0.206593 | − | 0.635828i | ||||
\(967\) | −2.68069e7 | − | 1.94764e7i | −0.921894 | − | 0.669795i | 0.0221007 | − | 0.999756i | \(-0.492965\pi\) |
−0.943995 | + | 0.329961i | \(0.892965\pi\) | |||||||
\(968\) | 3.09219e6 | 0.106067 | ||||||||
\(969\) | 1.90091e7 | + | 1.38109e7i | 0.650358 | + | 0.472513i | ||||
\(970\) | 1.10064e7 | + | 6.31396e6i | 0.375591 | + | 0.215463i | ||||
\(971\) | 4.04998e7 | − | 2.94248e7i | 1.37849 | − | 1.00153i | 0.381475 | − | 0.924379i | \(-0.375416\pi\) |
0.997019 | − | 0.0771557i | \(-0.0245838\pi\) | |||||||
\(972\) | −764346. | + | 555330.i | −0.0259492 | + | 0.0188532i | ||||
\(973\) | −1.41949e7 | − | 4.36875e7i | −0.480675 | − | 1.47936i | ||||
\(974\) | 2.76868e7 | 0.935136 | ||||||||
\(975\) | 3.62215e6 | + | 6.19424e6i | 0.122027 | + | 0.208678i | ||||
\(976\) | −1.38174e6 | −0.0464302 | ||||||||
\(977\) | −9.46664e6 | − | 2.91353e7i | −0.317292 | − | 0.976525i | −0.974801 | − | 0.223078i | \(-0.928390\pi\) |
0.657508 | − | 0.753447i | \(-0.271610\pi\) | |||||||
\(978\) | 1.50658e6 | − | 1.09460e6i | 0.0503669 | − | 0.0365937i | ||||
\(979\) | −4.82624e7 | + | 3.50647e7i | −1.60936 | + | 1.16927i | ||||
\(980\) | 6.04887e6 | − | 5.47684e6i | 0.201191 | − | 0.182165i | ||||
\(981\) | −9.56615e6 | − | 6.95021e6i | −0.317369 | − | 0.230582i | ||||
\(982\) | 1.77568e7 | 0.587605 | ||||||||
\(983\) | 4.39991e7 | + | 3.19672e7i | 1.45231 | + | 1.05517i | 0.985284 | + | 0.170925i | \(0.0546755\pi\) |
0.467029 | + | 0.884242i | \(0.345325\pi\) | |||||||
\(984\) | 332662. | − | 1.02383e6i | 0.0109525 | − | 0.0337085i | ||||
\(985\) | 3.43007e7 | − | 3.10569e7i | 1.12645 | − | 1.01992i | ||||
\(986\) | −1.04653e7 | − | 3.22090e7i | −0.342815 | − | 1.05508i | ||||
\(987\) | −1.16481e7 | + | 3.58491e7i | −0.380593 | + | 1.17135i | ||||
\(988\) | −1.99761e6 | + | 6.14802e6i | −0.0651057 | + | 0.200375i | ||||
\(989\) | −1.91642e7 | − | 5.89812e7i | −0.623016 | − | 1.91745i | ||||
\(990\) | 3.39179e6 | + | 7.56164e6i | 0.109987 | + | 0.245204i | ||||
\(991\) | 4.46307e6 | − | 1.37359e7i | 0.144361 | − | 0.444297i | −0.852567 | − | 0.522617i | \(-0.824956\pi\) |
0.996928 | + | 0.0783200i | \(0.0249556\pi\) | |||||||
\(992\) | 8.35052e6 | + | 6.06701e6i | 0.269423 | + | 0.195747i | ||||
\(993\) | 2.19031e7 | 0.704907 | ||||||||
\(994\) | −8.57311e6 | − | 6.22873e6i | −0.275215 | − | 0.199955i | ||||
\(995\) | −1.12300e7 | + | 1.21178e6i | −0.359601 | + | 0.0388029i | ||||
\(996\) | 3.92252e6 | − | 2.84988e6i | 0.125290 | − | 0.0910287i | ||||
\(997\) | −1.57358e7 | + | 1.14328e7i | −0.501363 | + | 0.364261i | −0.809537 | − | 0.587068i | \(-0.800282\pi\) |
0.308174 | + | 0.951330i | \(0.400282\pi\) | |||||||
\(998\) | 6.42182e6 | + | 1.97643e7i | 0.204095 | + | 0.628139i | ||||
\(999\) | −1.32738e6 | −0.0420805 |
(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 | 150.6.g.b.31.2 | ✓ | 24 | |
25.21 | even | 5 | inner | 150.6.g.b.121.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.b.31.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
150.6.g.b.121.2 | yes | 24 | 25.21 | even | 5 | inner |