Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.15 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.7.f.a.22.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.79658 | + | 5.80715i | 0.349572 | + | 0.725894i | 0.999416 | − | 0.0341737i | \(-0.0108799\pi\) |
−0.649844 | + | 0.760068i | \(0.725166\pi\) | |||||||
\(3\) | −16.1345 | + | 33.5037i | −0.597575 | + | 1.24088i | 0.354513 | + | 0.935051i | \(0.384647\pi\) |
−0.952088 | + | 0.305825i | \(0.901068\pi\) | |||||||
\(4\) | 14.0012 | − | 17.5569i | 0.218768 | − | 0.274327i | ||||
\(5\) | −177.830 | − | 40.5886i | −1.42264 | − | 0.324709i | −0.559149 | − | 0.829067i | \(-0.688872\pi\) |
−0.863494 | + | 0.504358i | \(0.831729\pi\) | |||||||
\(6\) | −239.682 | −1.10964 | ||||||||
\(7\) | − | 522.371i | − | 1.52295i | −0.648195 | − | 0.761474i | \(-0.724476\pi\) | ||
0.648195 | − | 0.761474i | \(-0.275524\pi\) | |||||||
\(8\) | 543.278 | + | 124.000i | 1.06109 | + | 0.242187i | ||||
\(9\) | −407.649 | − | 511.176i | −0.559189 | − | 0.701201i | ||||
\(10\) | −261.612 | − | 1146.20i | −0.261612 | − | 1.14620i | ||||
\(11\) | −95.4353 | − | 119.672i | −0.0717020 | − | 0.0899114i | 0.744687 | − | 0.667414i | \(-0.232599\pi\) |
−0.816389 | + | 0.577503i | \(0.804027\pi\) | |||||||
\(12\) | 362.319 | + | 752.362i | 0.209675 | + | 0.435395i | ||||
\(13\) | −664.158 | + | 2909.87i | −0.302302 | + | 1.32447i | 0.564340 | + | 0.825543i | \(0.309131\pi\) |
−0.866642 | + | 0.498930i | \(0.833726\pi\) | |||||||
\(14\) | 3033.49 | − | 1460.85i | 1.10550 | − | 0.532381i | ||||
\(15\) | 4229.08 | − | 5303.09i | 1.25306 | − | 1.57129i | ||||
\(16\) | 479.428 | + | 2100.51i | 0.117048 | + | 0.512820i | ||||
\(17\) | −1681.88 | − | 7368.81i | −0.342333 | − | 1.49986i | −0.794135 | − | 0.607741i | \(-0.792076\pi\) |
0.451802 | − | 0.892118i | \(-0.350781\pi\) | |||||||
\(18\) | 1828.45 | − | 3796.82i | 0.313521 | − | 0.651033i | ||||
\(19\) | −2144.88 | − | 1710.48i | −0.312710 | − | 0.249378i | 0.454540 | − | 0.890726i | \(-0.349804\pi\) |
−0.767249 | + | 0.641349i | \(0.778375\pi\) | |||||||
\(20\) | −3202.44 | + | 2553.86i | −0.400305 | + | 0.319233i | ||||
\(21\) | 17501.4 | + | 8428.21i | 1.88979 | + | 0.910076i | ||||
\(22\) | 428.062 | − | 888.880i | 0.0402012 | − | 0.0834786i | ||||
\(23\) | −14961.4 | − | 18761.0i | −1.22967 | − | 1.54196i | −0.744650 | − | 0.667455i | \(-0.767384\pi\) |
−0.485021 | − | 0.874503i | \(-0.661188\pi\) | |||||||
\(24\) | −12920.0 | + | 16201.1i | −0.934604 | + | 1.17196i | ||||
\(25\) | 15898.6 | + | 7656.35i | 1.01751 | + | 0.490007i | ||||
\(26\) | −18755.4 | + | 4280.80i | −1.06710 | + | 0.243559i | ||||
\(27\) | −2725.63 | + | 622.108i | −0.138477 | + | 0.0316064i | ||||
\(28\) | −9171.22 | − | 7313.81i | −0.417785 | − | 0.333173i | ||||
\(29\) | −12713.6 | − | 26400.2i | −0.521286 | − | 1.08246i | −0.980931 | − | 0.194359i | \(-0.937737\pi\) |
0.459644 | − | 0.888103i | \(-0.347977\pi\) | |||||||
\(30\) | 42622.8 | + | 9728.38i | 1.57862 | + | 0.360310i | ||||
\(31\) | 5284.73 | − | 2544.99i | 0.177394 | − | 0.0854282i | −0.343079 | − | 0.939306i | \(-0.611470\pi\) |
0.520473 | + | 0.853878i | \(0.325756\pi\) | |||||||
\(32\) | 17025.9 | − | 13577.7i | 0.519591 | − | 0.414360i | ||||
\(33\) | 5549.26 | − | 1266.58i | 0.154416 | − | 0.0352445i | ||||
\(34\) | 38088.3 | − | 30374.4i | 0.969069 | − | 0.772807i | ||||
\(35\) | −21202.3 | + | 92893.5i | −0.494515 | + | 2.16661i | ||||
\(36\) | −14682.2 | −0.314691 | ||||||||
\(37\) | 54282.8i | 1.07166i | 0.844326 | + | 0.535830i | \(0.180001\pi\) | ||||
−0.844326 | + | 0.535830i | \(0.819999\pi\) | |||||||
\(38\) | 3934.72 | − | 17239.1i | 0.0717072 | − | 0.314170i | ||||
\(39\) | −86775.3 | − | 69201.0i | −1.46286 | − | 1.16659i | ||||
\(40\) | −91578.3 | − | 44101.8i | −1.43091 | − | 0.689090i | ||||
\(41\) | −18943.7 | + | 9122.82i | −0.274861 | + | 0.132366i | −0.566237 | − | 0.824242i | \(-0.691601\pi\) |
0.291376 | + | 0.956609i | \(0.405887\pi\) | |||||||
\(42\) | 125203.i | 1.68993i | ||||||||
\(43\) | 62267.7 | + | 49437.7i | 0.783173 | + | 0.621804i | ||||
\(44\) | −3437.28 | −0.0403512 | ||||||||
\(45\) | 51744.5 | + | 107448.i | 0.567841 | + | 1.17913i | ||||
\(46\) | 67107.3 | − | 139350.i | 0.689440 | − | 1.43164i | ||||
\(47\) | −88169.2 | + | 110561.i | −0.849226 | + | 1.06490i | 0.147890 | + | 0.989004i | \(0.452752\pi\) |
−0.997116 | + | 0.0758921i | \(0.975820\pi\) | |||||||
\(48\) | −78110.2 | − | 17828.1i | −0.706292 | − | 0.161206i | ||||
\(49\) | −155223. | −1.31937 | ||||||||
\(50\) | 113737.i | 0.909897i | ||||||||
\(51\) | 274018. | + | 62542.9i | 2.06571 | + | 0.471485i | ||||
\(52\) | 41789.3 | + | 52402.1i | 0.297204 | + | 0.372682i | ||||
\(53\) | −10575.4 | − | 46333.7i | −0.0710342 | − | 0.311221i | 0.926912 | − | 0.375279i | \(-0.122453\pi\) |
−0.997946 | + | 0.0640575i | \(0.979596\pi\) | |||||||
\(54\) | −11235.1 | − | 14088.4i | −0.0713504 | − | 0.0894706i | ||||
\(55\) | 12114.0 | + | 25154.9i | 0.0728113 | + | 0.151194i | ||||
\(56\) | 64773.8 | − | 283793.i | 0.368838 | − | 1.61598i | ||||
\(57\) | 91913.9 | − | 44263.4i | 0.496314 | − | 0.239012i | ||||
\(58\) | 117755. | − | 147660.i | 0.603526 | − | 0.756797i | ||||
\(59\) | −50268.6 | − | 220241.i | −0.244760 | − | 1.07237i | −0.936624 | − | 0.350337i | \(-0.886067\pi\) |
0.691863 | − | 0.722028i | \(-0.256790\pi\) | |||||||
\(60\) | −33893.9 | − | 148499.i | −0.156916 | − | 0.687495i | ||||
\(61\) | −84478.6 | + | 175422.i | −0.372184 | + | 0.772847i | −0.999985 | − | 0.00552657i | \(-0.998241\pi\) |
0.627801 | + | 0.778374i | \(0.283955\pi\) | |||||||
\(62\) | 29558.3 | + | 23572.0i | 0.124024 | + | 0.0989056i | ||||
\(63\) | −267024. | + | 212944.i | −1.06789 | + | 0.851617i | ||||
\(64\) | 250697. | + | 120729.i | 0.956333 | + | 0.460546i | ||||
\(65\) | 236215. | − | 490505.i | 0.860137 | − | 1.78609i | ||||
\(66\) | 22874.2 | + | 28683.3i | 0.0795634 | + | 0.0997694i | ||||
\(67\) | −26697.3 | + | 33477.4i | −0.0887654 | + | 0.111308i | −0.824231 | − | 0.566254i | \(-0.808392\pi\) |
0.735465 | + | 0.677562i | \(0.236964\pi\) | |||||||
\(68\) | −152922. | − | 73643.2i | −0.486343 | − | 0.234210i | ||||
\(69\) | 869957. | − | 198562.i | 2.64820 | − | 0.604434i | ||||
\(70\) | −598741. | + | 136659.i | −1.74560 | + | 0.398422i | ||||
\(71\) | 23306.4 | + | 18586.2i | 0.0651179 | + | 0.0519298i | 0.655508 | − | 0.755188i | \(-0.272455\pi\) |
−0.590390 | + | 0.807118i | \(0.701026\pi\) | |||||||
\(72\) | −158081. | − | 328259.i | −0.423528 | − | 0.879465i | ||||
\(73\) | −237553. | − | 54220.0i | −0.610650 | − | 0.139377i | −0.0939980 | − | 0.995572i | \(-0.529965\pi\) |
−0.516652 | + | 0.856196i | \(0.672822\pi\) | |||||||
\(74\) | −315228. | + | 151806.i | −0.777912 | + | 0.374623i | ||||
\(75\) | −513032. | + | 409129.i | −1.21608 | + | 0.969788i | ||||
\(76\) | −60061.5 | + | 13708.6i | −0.136822 | + | 0.0312287i | ||||
\(77\) | −62513.3 | + | 49852.7i | −0.136930 | + | 0.109198i | ||||
\(78\) | 159187. | − | 697444.i | 0.335447 | − | 1.46969i | ||||
\(79\) | −250032. | −0.507124 | −0.253562 | − | 0.967319i | \(-0.581602\pi\) | ||||
−0.253562 | + | 0.967319i | \(0.581602\pi\) | |||||||
\(80\) | − | 392994.i | − | 0.767567i | ||||||
\(81\) | 129195. | − | 566039.i | 0.243103 | − | 1.06510i | ||||
\(82\) | −105955. | − | 84496.5i | −0.192168 | − | 0.153249i | ||||
\(83\) | 530384. | + | 255419.i | 0.927590 | + | 0.446704i | 0.835775 | − | 0.549072i | \(-0.185019\pi\) |
0.0918150 | + | 0.995776i | \(0.470733\pi\) | |||||||
\(84\) | 393013. | − | 189265.i | 0.663084 | − | 0.319324i | ||||
\(85\) | 1.37866e6i | 2.24492i | ||||||||
\(86\) | −112956. | + | 499855.i | −0.177588 | + | 0.785866i | ||||
\(87\) | 1.08963e6 | 1.65471 | ||||||||
\(88\) | −37008.6 | − | 76849.1i | −0.0543068 | − | 0.112769i | ||||
\(89\) | −60323.4 | + | 125263.i | −0.0855689 | + | 0.177686i | −0.939362 | − | 0.342926i | \(-0.888582\pi\) |
0.853793 | + | 0.520612i | \(0.174296\pi\) | |||||||
\(90\) | −479263. | + | 600976.i | −0.657425 | + | 0.824384i | ||||
\(91\) | 1.52003e6 | + | 346937.i | 2.01710 | + | 0.460391i | ||||
\(92\) | −538862. | −0.692013 | ||||||||
\(93\) | 218120.i | 0.271173i | ||||||||
\(94\) | −888615. | − | 202821.i | −1.06987 | − | 0.244190i | ||||
\(95\) | 311998. | + | 391233.i | 0.363899 | + | 0.456315i | ||||
\(96\) | 180199. | + | 789502.i | 0.203675 | + | 0.892359i | ||||
\(97\) | 21744.4 | + | 27266.6i | 0.0238249 | + | 0.0298755i | 0.793601 | − | 0.608438i | \(-0.208204\pi\) |
−0.769776 | + | 0.638314i | \(0.779632\pi\) | |||||||
\(98\) | −434093. | − | 901403.i | −0.461216 | − | 0.957725i | ||||
\(99\) | −22269.4 | + | 97568.4i | −0.0229510 | + | 0.100555i | ||||
\(100\) | 357020. | − | 171932.i | 0.357020 | − | 0.171932i | ||||
\(101\) | 328837. | − | 412349.i | 0.319166 | − | 0.400221i | −0.596205 | − | 0.802832i | \(-0.703326\pi\) |
0.915371 | + | 0.402610i | \(0.131897\pi\) | |||||||
\(102\) | 403117. | + | 1.76617e6i | 0.379867 | + | 1.66430i | ||||
\(103\) | 171707. | + | 752298.i | 0.157136 | + | 0.688459i | 0.990703 | + | 0.136041i | \(0.0434378\pi\) |
−0.833567 | + | 0.552419i | \(0.813705\pi\) | |||||||
\(104\) | −721644. | + | 1.49851e6i | −0.641539 | + | 1.33217i | ||||
\(105\) | −2.77018e6 | − | 2.20915e6i | −2.39299 | − | 1.90835i | ||||
\(106\) | 239492. | − | 190989.i | 0.201082 | − | 0.160358i | ||||
\(107\) | 271265. | + | 130634.i | 0.221433 | + | 0.106637i | 0.541312 | − | 0.840822i | \(-0.317928\pi\) |
−0.319879 | + | 0.947458i | \(0.603642\pi\) | |||||||
\(108\) | −27239.7 | + | 56563.9i | −0.0216238 | + | 0.0449022i | ||||
\(109\) | −1.57218e6 | − | 1.97145e6i | −1.21401 | − | 1.52232i | −0.785598 | − | 0.618737i | \(-0.787645\pi\) |
−0.428412 | − | 0.903584i | \(-0.640927\pi\) | |||||||
\(110\) | −112201. | + | 140695.i | −0.0842982 | + | 0.105707i | ||||
\(111\) | −1.81867e6 | − | 875826.i | −1.32980 | − | 0.640397i | ||||
\(112\) | 1.09725e6 | − | 250440.i | 0.780999 | − | 0.178258i | ||||
\(113\) | −730706. | + | 166779.i | −0.506416 | + | 0.115586i | −0.468093 | − | 0.883679i | \(-0.655059\pi\) |
−0.0383229 | + | 0.999265i | \(0.512202\pi\) | |||||||
\(114\) | 514089. | + | 409972.i | 0.346995 | + | 0.276720i | ||||
\(115\) | 1.89911e6 | + | 3.94354e6i | 1.24869 | + | 2.59294i | ||||
\(116\) | −641511. | − | 146421.i | −0.410989 | − | 0.0938055i | ||||
\(117\) | 1.75820e6 | − | 846703.i | 1.09777 | − | 0.528656i | ||||
\(118\) | 1.13840e6 | − | 907840.i | 0.692862 | − | 0.552539i | ||||
\(119\) | −3.84925e6 | + | 878567.i | −2.28421 | + | 0.521356i | ||||
\(120\) | 2.95514e6 | − | 2.35665e6i | 1.71015 | − | 1.36380i | ||||
\(121\) | 388996. | − | 1.70430e6i | 0.219578 | − | 0.962034i | ||||
\(122\) | −1.25495e6 | −0.691110 | ||||||||
\(123\) | − | 781877.i | − | 0.420168i | ||||||
\(124\) | 29310.2 | − | 128416.i | 0.0153728 | − | 0.0673527i | ||||
\(125\) | −288226. | − | 229852.i | −0.147571 | − | 0.117684i | ||||
\(126\) | −1.98335e6 | − | 955132.i | −0.991490 | − | 0.477476i | ||||
\(127\) | 1.94325e6 | − | 935821.i | 0.948676 | − | 0.456858i | 0.105454 | − | 0.994424i | \(-0.466370\pi\) |
0.843222 | + | 0.537566i | \(0.180656\pi\) | |||||||
\(128\) | 399737.i | 0.190609i | ||||||||
\(129\) | −2.66101e6 | + | 1.28854e6i | −1.23959 | + | 0.600247i | ||||
\(130\) | 3.50903e6 | 1.59719 | ||||||||
\(131\) | 1.17174e6 | + | 2.43315e6i | 0.521217 | + | 1.08232i | 0.980950 | + | 0.194262i | \(0.0622311\pi\) |
−0.459732 | + | 0.888058i | \(0.652055\pi\) | |||||||
\(132\) | 55458.8 | − | 115161.i | 0.0241128 | − | 0.0500708i | ||||
\(133\) | −893507. | + | 1.12042e6i | −0.379789 | + | 0.476241i | ||||
\(134\) | −269070. | − | 61413.4i | −0.111828 | − | 0.0255240i | ||||
\(135\) | 509951. | 0.207266 | ||||||||
\(136\) | − | 4.21186e6i | − | 1.67439i | ||||||
\(137\) | 3.51514e6 | + | 802307.i | 1.36704 | + | 0.312017i | 0.842191 | − | 0.539179i | \(-0.181265\pi\) |
0.524847 | + | 0.851197i | \(0.324123\pi\) | |||||||
\(138\) | 3.58598e6 | + | 4.49668e6i | 1.36449 | + | 1.71102i | ||||
\(139\) | −709025. | − | 3.10644e6i | −0.264008 | − | 1.15669i | −0.916860 | − | 0.399209i | \(-0.869285\pi\) |
0.652852 | − | 0.757486i | \(-0.273572\pi\) | |||||||
\(140\) | 1.33406e6 | + | 1.67286e6i | 0.486175 | + | 0.609644i | ||||
\(141\) | −2.28162e6 | − | 4.73783e6i | −0.813928 | − | 1.69014i | ||||
\(142\) | −42755.0 | + | 187322.i | −0.0149321 | + | 0.0654219i | ||||
\(143\) | 411614. | − | 198223.i | 0.140761 | − | 0.0677869i | ||||
\(144\) | 878293. | − | 1.10134e6i | 0.294138 | − | 0.368838i | ||||
\(145\) | 1.18933e6 | + | 5.21078e6i | 0.390119 | + | 1.70922i | ||||
\(146\) | −349472. | − | 1.53114e6i | −0.112293 | − | 0.491989i | ||||
\(147\) | 2.50445e6 | − | 5.20054e6i | 0.788424 | − | 1.63718i | ||||
\(148\) | 953037. | + | 760022.i | 0.293985 | + | 0.234445i | ||||
\(149\) | 2.16304e6 | − | 1.72496e6i | 0.653890 | − | 0.521460i | −0.239411 | − | 0.970918i | \(-0.576954\pi\) |
0.893301 | + | 0.449458i | \(0.148383\pi\) | |||||||
\(150\) | −3.81061e6 | − | 1.83509e6i | −1.12907 | − | 0.543731i | ||||
\(151\) | 442594. | − | 919055.i | 0.128551 | − | 0.266938i | −0.826753 | − | 0.562566i | \(-0.809814\pi\) |
0.955303 | + | 0.295627i | \(0.0955287\pi\) | |||||||
\(152\) | −953164. | − | 1.19523e6i | −0.271417 | − | 0.340346i | ||||
\(153\) | −3.08114e6 | + | 3.86362e6i | −0.860274 | + | 1.07875i | ||||
\(154\) | −464325. | − | 223607.i | −0.127134 | − | 0.0612243i | ||||
\(155\) | −1.04308e6 | + | 238077.i | −0.280107 | + | 0.0639326i | ||||
\(156\) | −2.42991e6 | + | 554611.i | −0.640054 | + | 0.146088i | ||||
\(157\) | −873085. | − | 696262.i | −0.225610 | − | 0.179918i | 0.504161 | − | 0.863610i | \(-0.331802\pi\) |
−0.729771 | + | 0.683692i | \(0.760373\pi\) | |||||||
\(158\) | −699233. | − | 1.45197e6i | −0.177276 | − | 0.368118i | ||||
\(159\) | 1.72298e6 | + | 393258.i | 0.428635 | + | 0.0978333i | ||||
\(160\) | −3.57883e6 | + | 1.72347e6i | −0.873738 | + | 0.420770i | ||||
\(161\) | −9.80021e6 | + | 7.81541e6i | −2.34832 | + | 1.87273i | ||||
\(162\) | 3.64838e6 | − | 832719.i | 0.858134 | − | 0.195864i | ||||
\(163\) | −172707. | + | 137730.i | −0.0398794 | + | 0.0318027i | −0.643227 | − | 0.765676i | \(-0.722405\pi\) |
0.603347 | + | 0.797479i | \(0.293833\pi\) | |||||||
\(164\) | −105066. | + | 460323.i | −0.0238193 | + | 0.104359i | ||||
\(165\) | −1.03824e6 | −0.231123 | ||||||||
\(166\) | 3.79432e6i | 0.829487i | ||||||||
\(167\) | 1.58784e6 | − | 6.95677e6i | 0.340923 | − | 1.49368i | −0.456206 | − | 0.889874i | \(-0.650792\pi\) |
0.797129 | − | 0.603809i | \(-0.206351\pi\) | |||||||
\(168\) | 8.46300e6 | + | 6.74902e6i | 1.78483 | + | 1.42335i | ||||
\(169\) | −3.67741e6 | − | 1.77095e6i | −0.761872 | − | 0.366898i | ||||
\(170\) | −8.00611e6 | + | 3.85554e6i | −1.62958 | + | 0.784763i | ||||
\(171\) | 1.79368e6i | 0.358722i | ||||||||
\(172\) | 1.73979e6 | − | 401043.i | 0.341911 | − | 0.0788144i | ||||
\(173\) | −4.38581e6 | −0.847056 | −0.423528 | − | 0.905883i | \(-0.639208\pi\) | ||||
−0.423528 | + | 0.905883i | \(0.639208\pi\) | |||||||
\(174\) | 3.04724e6 | + | 6.32765e6i | 0.578440 | + | 1.20114i | ||||
\(175\) | 3.99946e6 | − | 8.30496e6i | 0.746255 | − | 1.54961i | ||||
\(176\) | 205618. | − | 257837.i | 0.0377158 | − | 0.0472942i | ||||
\(177\) | 8.18995e6 | + | 1.86930e6i | 1.47694 | + | 0.337101i | ||||
\(178\) | −896120. | −0.158894 | ||||||||
\(179\) | − | 4.55544e6i | − | 0.794276i | −0.917759 | − | 0.397138i | \(-0.870003\pi\) | ||
0.917759 | − | 0.397138i | \(-0.129997\pi\) | |||||||
\(180\) | 2.61095e6 | + | 595931.i | 0.447693 | + | 0.102183i | ||||
\(181\) | 767509. | + | 962426.i | 0.129434 | + | 0.162305i | 0.842325 | − | 0.538970i | \(-0.181186\pi\) |
−0.712891 | + | 0.701274i | \(0.752615\pi\) | |||||||
\(182\) | 2.23617e6 | + | 9.79729e6i | 0.370929 | + | 1.62514i | ||||
\(183\) | −4.51425e6 | − | 5.66069e6i | −0.736600 | − | 0.923668i | ||||
\(184\) | −5.80184e6 | − | 1.20476e7i | −0.931348 | − | 1.93396i | ||||
\(185\) | 2.20326e6 | − | 9.65313e6i | 0.347978 | − | 1.52459i | ||||
\(186\) | −1.26666e6 | + | 609990.i | −0.196843 | + | 0.0947946i | ||||
\(187\) | −721330. | + | 904519.i | −0.110308 | + | 0.138322i | ||||
\(188\) | 706632. | + | 3.09596e6i | 0.106346 | + | 0.465931i | ||||
\(189\) | 324971. | + | 1.42379e6i | 0.0481349 | + | 0.210893i | ||||
\(190\) | −1.39942e6 | + | 2.90593e6i | −0.204027 | + | 0.423667i | ||||
\(191\) | −1.00040e6 | − | 797789.i | −0.143573 | − | 0.114495i | 0.549070 | − | 0.835777i | \(-0.314982\pi\) |
−0.692642 | + | 0.721281i | \(0.743554\pi\) | |||||||
\(192\) | −8.08975e6 | + | 6.45136e6i | −1.14296 | + | 0.911481i | ||||
\(193\) | 9.29999e6 | + | 4.47864e6i | 1.29363 | + | 0.622980i | 0.948857 | − | 0.315706i | \(-0.102241\pi\) |
0.344774 | + | 0.938686i | \(0.387956\pi\) | |||||||
\(194\) | −97531.4 | + | 202526.i | −0.0133579 | + | 0.0277380i | ||||
\(195\) | 1.26225e7 | + | 1.58281e7i | 1.70232 | + | 2.13465i | ||||
\(196\) | −2.17330e6 | + | 2.72523e6i | −0.288637 | + | 0.361939i | ||||
\(197\) | −1.03397e7 | − | 4.97934e6i | −1.35241 | − | 0.651288i | −0.389481 | − | 0.921034i | \(-0.627346\pi\) |
−0.962931 | + | 0.269747i | \(0.913060\pi\) | |||||||
\(198\) | −628873. | + | 143536.i | −0.0810153 | + | 0.0184912i | ||||
\(199\) | 4.55466e6 | − | 1.03957e6i | 0.577959 | − | 0.131915i | 0.0764584 | − | 0.997073i | \(-0.475639\pi\) |
0.501500 | + | 0.865157i | \(0.332782\pi\) | |||||||
\(200\) | 7.68796e6 | + | 6.13094e6i | 0.960995 | + | 0.766368i | ||||
\(201\) | −690867. | − | 1.43460e6i | −0.0850759 | − | 0.176662i | ||||
\(202\) | 3.31419e6 | + | 756442.i | 0.402090 | + | 0.0917744i | ||||
\(203\) | −1.37907e7 | + | 6.64125e6i | −1.64853 | + | 0.793892i | ||||
\(204\) | 4.93463e6 | − | 3.93524e6i | 0.581252 | − | 0.463533i | ||||
\(205\) | 3.73905e6 | − | 853415.i | 0.434010 | − | 0.0990600i | ||||
\(206\) | −3.88852e6 | + | 3.10099e6i | −0.444818 | + | 0.354731i | ||||
\(207\) | −3.49117e6 | + | 1.52958e7i | −0.393604 | + | 1.72449i | ||||
\(208\) | −6.43063e6 | −0.714601 | ||||||||
\(209\) | 419922.i | 0.0459970i | ||||||||
\(210\) | 5.08183e6 | − | 2.22649e7i | 0.548734 | − | 2.40416i | ||||
\(211\) | −170424. | − | 135909.i | −0.0181420 | − | 0.0144677i | 0.614377 | − | 0.789013i | \(-0.289407\pi\) |
−0.632519 | + | 0.774545i | \(0.717979\pi\) | |||||||
\(212\) | −961543. | − | 463055.i | −0.100916 | − | 0.0485987i | ||||
\(213\) | −998745. | + | 480970.i | −0.103351 | + | 0.0497713i | ||||
\(214\) | 1.94061e6i | 0.198014i | ||||||||
\(215\) | −9.06649e6 | − | 1.13189e7i | −0.912271 | − | 1.13891i | ||||
\(216\) | −1.55792e6 | −0.154591 | ||||||||
\(217\) | −1.32943e6 | − | 2.76059e6i | −0.130103 | − | 0.270161i | ||||
\(218\) | 7.05179e6 | − | 1.46432e7i | 0.680659 | − | 1.41340i | ||||
\(219\) | 5.64937e6 | − | 7.08409e6i | 0.537858 | − | 0.674453i | ||||
\(220\) | 611252. | + | 139514.i | 0.0574054 | + | 0.0131024i | ||||
\(221\) | 2.25593e7 | 2.09001 | ||||||||
\(222\) | − | 1.30106e7i | − | 1.18916i | ||||||
\(223\) | 274088. | + | 62558.8i | 0.0247159 | + | 0.00564123i | 0.234861 | − | 0.972029i | \(-0.424537\pi\) |
−0.210145 | + | 0.977670i | \(0.567394\pi\) | |||||||
\(224\) | −7.09262e6 | − | 8.89387e6i | −0.631049 | − | 0.791310i | ||||
\(225\) | −2.56730e6 | − | 1.12481e7i | −0.225387 | − | 0.987485i | ||||
\(226\) | −3.01199e6 | − | 3.77691e6i | −0.260932 | − | 0.327199i | ||||
\(227\) | 6.25548e6 | + | 1.29896e7i | 0.534790 | + | 1.11050i | 0.976931 | + | 0.213557i | \(0.0685049\pi\) |
−0.442141 | + | 0.896946i | \(0.645781\pi\) | |||||||
\(228\) | 509773. | − | 2.23346e6i | 0.0430103 | − | 0.188440i | ||||
\(229\) | −7.72302e6 | + | 3.71921e6i | −0.643103 | + | 0.309702i | −0.726862 | − | 0.686784i | \(-0.759022\pi\) |
0.0837585 | + | 0.996486i | \(0.473308\pi\) | |||||||
\(230\) | −1.75897e7 | + | 2.20568e7i | −1.44569 | + | 1.81284i | ||||
\(231\) | −661626. | − | 2.89877e6i | −0.0536756 | − | 0.235168i | ||||
\(232\) | −3.63343e6 | − | 1.59191e7i | −0.290973 | − | 1.27484i | ||||
\(233\) | −3.71383e6 | + | 7.71186e6i | −0.293599 | + | 0.609665i | −0.994633 | − | 0.103463i | \(-0.967008\pi\) |
0.701034 | + | 0.713128i | \(0.252722\pi\) | |||||||
\(234\) | 9.83387e6 | + | 7.84225e6i | 0.767497 | + | 0.612059i | ||||
\(235\) | 2.01667e7 | − | 1.60824e7i | 1.55393 | − | 1.23922i | ||||
\(236\) | −4.57057e6 | − | 2.20107e6i | −0.347724 | − | 0.167455i | ||||
\(237\) | 4.03414e6 | − | 8.37698e6i | 0.303044 | − | 0.629278i | ||||
\(238\) | −1.58667e7 | − | 1.98962e7i | −1.17694 | − | 1.47584i | ||||
\(239\) | −9.62477e6 | + | 1.20691e7i | −0.705012 | + | 0.884057i | −0.997387 | − | 0.0722464i | \(-0.976983\pi\) |
0.292375 | + | 0.956304i | \(0.405555\pi\) | |||||||
\(240\) | 1.31668e7 | + | 6.34077e6i | 0.952456 | + | 0.458679i | ||||
\(241\) | −4.52386e6 | + | 1.03254e6i | −0.323190 | + | 0.0737661i | −0.381038 | − | 0.924559i | \(-0.624433\pi\) |
0.0578478 | + | 0.998325i | \(0.481576\pi\) | |||||||
\(242\) | 1.09850e7 | − | 2.50726e6i | 0.775093 | − | 0.176910i | ||||
\(243\) | 1.52865e7 | + | 1.21905e7i | 1.06534 | + | 0.849580i | ||||
\(244\) | 1.89706e6 | + | 3.93929e6i | 0.130591 | + | 0.271174i | ||||
\(245\) | 2.76034e7 | + | 6.30028e6i | 1.87700 | + | 0.428412i | ||||
\(246\) | 4.54048e6 | − | 2.18658e6i | 0.304997 | − | 0.146879i | ||||
\(247\) | 6.40181e6 | − | 5.10527e6i | 0.424827 | − | 0.338788i | ||||
\(248\) | 3.18665e6 | − | 727333.i | 0.208920 | − | 0.0476846i | ||||
\(249\) | −1.71150e7 | + | 1.36487e7i | −1.10861 | + | 0.884086i | ||||
\(250\) | 528742. | − | 2.31657e6i | 0.0338395 | − | 0.148260i | ||||
\(251\) | −2.33150e7 | −1.47439 | −0.737197 | − | 0.675677i | \(-0.763851\pi\) | ||||
−0.737197 | + | 0.675677i | \(0.763851\pi\) | |||||||
\(252\) | 7.66957e6i | 0.479258i | ||||||||
\(253\) | −817323. | + | 3.58092e6i | −0.0504698 | + | 0.221123i | ||||
\(254\) | 1.08689e7 | + | 8.66767e6i | 0.663262 | + | 0.528934i | ||||
\(255\) | −4.61903e7 | − | 2.22441e7i | −2.78567 | − | 1.34151i | ||||
\(256\) | 1.37233e7 | − | 6.60878e6i | 0.817971 | − | 0.393914i | ||||
\(257\) | 3.30112e6i | 0.194474i | 0.995261 | + | 0.0972370i | \(0.0310005\pi\) | ||||
−0.995261 | + | 0.0972370i | \(0.969000\pi\) | |||||||
\(258\) | −1.49245e7 | − | 1.18494e7i | −0.869041 | − | 0.689979i | ||||
\(259\) | 2.83558e7 | 1.63208 | ||||||||
\(260\) | −5.30447e6 | − | 1.10148e7i | −0.301802 | − | 0.626698i | ||||
\(261\) | −8.31242e6 | + | 1.72609e7i | −0.467526 | + | 0.970828i | ||||
\(262\) | −1.08528e7 | + | 1.36090e7i | −0.603446 | + | 0.756698i | ||||
\(263\) | 2.16239e7 | + | 4.93551e6i | 1.18868 | + | 0.271309i | 0.770732 | − | 0.637160i | \(-0.219891\pi\) |
0.417952 | + | 0.908469i | \(0.362748\pi\) | |||||||
\(264\) | 3.17184e6 | 0.172385 | ||||||||
\(265\) | 8.66878e6i | 0.465822i | ||||||||
\(266\) | −9.00522e6 | − | 2.05538e6i | −0.478464 | − | 0.109206i | ||||
\(267\) | −3.22348e6 | − | 4.04211e6i | −0.169352 | − | 0.212361i | ||||
\(268\) | 213966. | + | 937445.i | 0.0111158 | + | 0.0487014i | ||||
\(269\) | −2.27891e7 | − | 2.85766e7i | −1.17077 | − | 1.46809i | −0.854522 | − | 0.519415i | \(-0.826150\pi\) |
−0.316243 | − | 0.948678i | \(-0.602422\pi\) | |||||||
\(270\) | 1.42612e6 | + | 2.96136e6i | 0.0724543 | + | 0.150453i | ||||
\(271\) | −2.86872e6 | + | 1.25687e7i | −0.144139 | + | 0.631512i | 0.850309 | + | 0.526283i | \(0.176415\pi\) |
−0.994448 | + | 0.105229i | \(0.966442\pi\) | |||||||
\(272\) | 1.46719e7 | − | 7.06563e6i | 0.729089 | − | 0.351111i | ||||
\(273\) | −3.61486e7 | + | 4.53290e7i | −1.77666 | + | 2.22786i | ||||
\(274\) | 5.17123e6 | + | 2.26567e7i | 0.251387 | + | 1.10140i | ||||
\(275\) | −601034. | − | 2.63330e6i | −0.0289002 | − | 0.126620i | ||||
\(276\) | 8.69428e6 | − | 1.80539e7i | 0.413529 | − | 0.858702i | ||||
\(277\) | −4.93314e6 | − | 3.93405e6i | −0.232105 | − | 0.185098i | 0.500530 | − | 0.865719i | \(-0.333138\pi\) |
−0.732635 | + | 0.680621i | \(0.761710\pi\) | |||||||
\(278\) | 1.60567e7 | − | 1.28048e7i | 0.747348 | − | 0.595990i | ||||
\(279\) | −3.45525e6 | − | 1.66396e6i | −0.159099 | − | 0.0766180i | ||||
\(280\) | −2.30375e7 | + | 4.78379e7i | −1.04945 | + | 2.17920i | ||||
\(281\) | 620076. | + | 777551.i | 0.0279464 | + | 0.0350437i | 0.795608 | − | 0.605811i | \(-0.207151\pi\) |
−0.767662 | + | 0.640855i | \(0.778580\pi\) | |||||||
\(282\) | 2.11326e7 | − | 2.64994e7i | 0.942336 | − | 1.18165i | ||||
\(283\) | 3.75547e7 | + | 1.80854e7i | 1.65693 | + | 0.797936i | 0.998993 | + | 0.0448638i | \(0.0142854\pi\) |
0.657938 | + | 0.753072i | \(0.271429\pi\) | |||||||
\(284\) | 652634. | − | 148959.i | 0.0284914 | − | 0.00650299i | ||||
\(285\) | −1.81417e7 | + | 4.14072e6i | −0.783688 | + | 0.178872i | ||||
\(286\) | 2.30222e6 | + | 1.83596e6i | 0.0984122 | + | 0.0784811i | ||||
\(287\) | 4.76550e6 | + | 9.89566e6i | 0.201587 | + | 0.418600i | ||||
\(288\) | −1.38812e7 | − | 3.16830e6i | −0.581099 | − | 0.132632i | ||||
\(289\) | −2.97234e7 | + | 1.43140e7i | −1.23142 | + | 0.593019i | ||||
\(290\) | −2.69338e7 | + | 2.14790e7i | −1.10434 | + | 0.880682i | ||||
\(291\) | −1.26437e6 | + | 288583.i | −0.0513090 | + | 0.0117109i | ||||
\(292\) | −4.27795e6 | + | 3.41155e6i | −0.171825 | + | 0.137026i | ||||
\(293\) | 4.26893e6 | − | 1.87034e7i | 0.169713 | − | 0.743563i | −0.816400 | − | 0.577487i | \(-0.804033\pi\) |
0.986113 | − | 0.166075i | \(-0.0531095\pi\) | |||||||
\(294\) | 3.72042e7 | 1.46403 | ||||||||
\(295\) | 4.12059e7i | 1.60507i | ||||||||
\(296\) | −6.73104e6 | + | 2.94906e7i | −0.259542 | + | 1.13713i | ||||
\(297\) | 334571. | + | 266811.i | 0.0127708 | + | 0.0101844i | ||||
\(298\) | 1.60662e7 | + | 7.73709e6i | 0.607107 | + | 0.292367i | ||||
\(299\) | 6.45287e7 | − | 3.10754e7i | 2.41401 | − | 1.16253i | ||||
\(300\) | 1.47355e7i | 0.545760i | ||||||||
\(301\) | 2.58249e7 | − | 3.25269e7i | 0.946975 | − | 1.19273i | ||||
\(302\) | 6.57484e6 | 0.238707 | ||||||||
\(303\) | 8.50956e6 | + | 1.76703e7i | 0.305900 | + | 0.635208i | ||||
\(304\) | 2.56457e6 | − | 5.32539e6i | 0.0912840 | − | 0.189553i | ||||
\(305\) | 2.21430e7 | − | 2.77664e7i | 0.780435 | − | 0.978634i | ||||
\(306\) | −3.10533e7 | − | 7.08771e6i | −1.08379 | − | 0.247367i | ||||
\(307\) | −2.83562e7 | −0.980015 | −0.490008 | − | 0.871718i | \(-0.663006\pi\) | ||||
−0.490008 | + | 0.871718i | \(0.663006\pi\) | |||||||
\(308\) | 1.79553e6i | 0.0614528i | ||||||||
\(309\) | −2.79752e7 | − | 6.38515e6i | −0.948194 | − | 0.216419i | ||||
\(310\) | −4.29961e6 | − | 5.39155e6i | −0.144326 | − | 0.180979i | ||||
\(311\) | −7.91532e6 | − | 3.46793e7i | −0.263140 | − | 1.15289i | −0.917823 | − | 0.396990i | \(-0.870055\pi\) |
0.654683 | − | 0.755904i | \(-0.272802\pi\) | |||||||
\(312\) | −3.85622e7 | − | 4.83555e7i | −1.26969 | − | 1.59214i | ||||
\(313\) | −3.72738e6 | − | 7.73998e6i | −0.121554 | − | 0.252410i | 0.831309 | − | 0.555811i | \(-0.187592\pi\) |
−0.952863 | + | 0.303401i | \(0.901878\pi\) | |||||||
\(314\) | 1.60165e6 | − | 7.01729e6i | 0.0517344 | − | 0.226663i | ||||
\(315\) | 5.61280e7 | − | 2.70298e7i | 1.79576 | − | 0.864792i | ||||
\(316\) | −3.50073e6 | + | 4.38978e6i | −0.110942 | + | 0.139117i | ||||
\(317\) | −3.67453e6 | − | 1.60992e7i | −0.115352 | − | 0.505388i | −0.999286 | − | 0.0377778i | \(-0.987972\pi\) |
0.883935 | − | 0.467611i | \(-0.154885\pi\) | |||||||
\(318\) | 2.53473e6 | + | 1.11054e7i | 0.0788225 | + | 0.345344i | ||||
\(319\) | −1.94603e6 | + | 4.04098e6i | −0.0599484 | + | 0.124484i | ||||
\(320\) | −3.96813e7 | − | 3.16448e7i | −1.21098 | − | 0.965722i | ||||
\(321\) | −8.75346e6 | + | 6.98065e6i | −0.264646 | + | 0.211048i | ||||
\(322\) | −7.27923e7 | − | 3.50549e7i | −2.18031 | − | 1.04998i | ||||
\(323\) | −8.99678e6 | + | 1.86820e7i | −0.266980 | + | 0.554391i | ||||
\(324\) | −8.12902e6 | − | 1.01935e7i | −0.239003 | − | 0.299700i | ||||
\(325\) | −3.28381e7 | + | 4.11777e7i | −0.956596 | + | 1.19953i | ||||
\(326\) | −1.28281e6 | − | 617767.i | −0.0370262 | − | 0.0178309i | ||||
\(327\) | 9.14171e7 | − | 2.08654e7i | 2.61447 | − | 0.596736i | ||||
\(328\) | −1.14229e7 | + | 2.60721e6i | −0.323710 | + | 0.0738847i | ||||
\(329\) | 5.77537e7 | + | 4.60571e7i | 1.62178 | + | 1.29333i | ||||
\(330\) | −2.90351e6 | − | 6.02919e6i | −0.0807943 | − | 0.167771i | ||||
\(331\) | 1.46982e7 | + | 3.35476e6i | 0.405303 | + | 0.0925077i | 0.420312 | − | 0.907380i | \(-0.361921\pi\) |
−0.0150093 | + | 0.999887i | \(0.504778\pi\) | |||||||
\(332\) | 1.19104e7 | − | 5.73573e6i | 0.325470 | − | 0.156738i | ||||
\(333\) | 2.77480e7 | − | 2.21283e7i | 0.751449 | − | 0.599261i | ||||
\(334\) | 4.48396e7 | − | 1.02343e7i | 1.20343 | − | 0.274676i | ||||
\(335\) | 6.10640e6 | − | 4.86969e6i | 0.162424 | − | 0.129529i | ||||
\(336\) | −9.31292e6 | + | 4.08025e7i | −0.245509 | + | 1.07565i | ||||
\(337\) | −4.37573e7 | −1.14330 | −0.571651 | − | 0.820497i | \(-0.693697\pi\) | ||||
−0.571651 | + | 0.820497i | \(0.693697\pi\) | |||||||
\(338\) | − | 2.63079e7i | − | 0.681296i | ||||||
\(339\) | 6.20188e6 | − | 2.71722e7i | 0.159193 | − | 0.697471i | ||||
\(340\) | 2.42051e7 | + | 1.93029e7i | 0.615842 | + | 0.491118i | ||||
\(341\) | −808914. | − | 389553.i | −0.0204004 | − | 0.00982433i | ||||
\(342\) | −1.04162e7 | + | 5.01618e6i | −0.260394 | + | 0.125399i | ||||
\(343\) | 1.96275e7i | 0.486389i | ||||||||
\(344\) | 2.76984e7 | + | 3.45796e7i | 0.680424 | + | 0.849463i | ||||
\(345\) | −1.62764e8 | −3.96371 | ||||||||
\(346\) | −1.22653e7 | − | 2.54691e7i | −0.296107 | − | 0.614873i | ||||
\(347\) | −3.35045e7 | + | 6.95727e7i | −0.801889 | + | 1.66514i | −0.0566004 | + | 0.998397i | \(0.518026\pi\) |
−0.745288 | + | 0.666742i | \(0.767688\pi\) | |||||||
\(348\) | 1.52561e7 | − | 1.91305e7i | 0.361998 | − | 0.453931i | ||||
\(349\) | −2.63089e7 | − | 6.00484e6i | −0.618909 | − | 0.141262i | −0.0984409 | − | 0.995143i | \(-0.531386\pi\) |
−0.520468 | + | 0.853881i | \(0.674243\pi\) | |||||||
\(350\) | 5.94130e7 | 1.38573 | ||||||||
\(351\) | − | 8.34441e6i | − | 0.192963i | ||||||
\(352\) | −3.24975e6 | − | 741735.i | −0.0745113 | − | 0.0170067i | ||||
\(353\) | −1.16882e7 | − | 1.46565e7i | −0.265719 | − | 0.333201i | 0.631015 | − | 0.775771i | \(-0.282639\pi\) |
−0.896734 | + | 0.442569i | \(0.854067\pi\) | |||||||
\(354\) | 1.20485e7 | + | 5.27880e7i | 0.271596 | + | 1.18994i | ||||
\(355\) | −3.39020e6 | − | 4.25117e6i | −0.0757775 | − | 0.0950219i | ||||
\(356\) | 1.35463e6 | + | 2.81292e6i | 0.0300242 | + | 0.0623458i | ||||
\(357\) | 3.26706e7 | − | 1.43139e8i | 0.718047 | − | 3.14597i | ||||
\(358\) | 2.64542e7 | − | 1.27397e7i | 0.576561 | − | 0.277657i | ||||
\(359\) | 1.05599e7 | − | 1.32417e7i | 0.228232 | − | 0.286194i | −0.654509 | − | 0.756055i | \(-0.727124\pi\) |
0.882741 | + | 0.469861i | \(0.155696\pi\) | |||||||
\(360\) | 1.47880e7 | + | 6.47907e7i | 0.316959 | + | 1.38869i | ||||
\(361\) | −8.79395e6 | − | 3.85288e7i | −0.186923 | − | 0.818962i | ||||
\(362\) | −3.44256e6 | + | 7.14854e6i | −0.0725697 | + | 0.150692i | ||||
\(363\) | 5.08241e7 | + | 4.05309e7i | 1.06255 | + | 0.847357i | ||||
\(364\) | 2.73733e7 | − | 2.18295e7i | 0.567576 | − | 0.452626i | ||||
\(365\) | 4.00435e7 | + | 1.92839e7i | 0.823480 | + | 0.396567i | ||||
\(366\) | 2.02480e7 | − | 4.20455e7i | 0.412990 | − | 0.857583i | ||||
\(367\) | −1.05355e7 | − | 1.32111e7i | −0.213137 | − | 0.267265i | 0.663758 | − | 0.747947i | \(-0.268960\pi\) |
−0.876895 | + | 0.480682i | \(0.840389\pi\) | |||||||
\(368\) | 3.22348e7 | − | 4.04212e7i | 0.646817 | − | 0.811083i | ||||
\(369\) | 1.23858e7 | + | 5.96466e6i | 0.246515 | + | 0.118715i | ||||
\(370\) | 6.22188e7 | − | 1.42010e7i | 1.22833 | − | 0.280359i | ||||
\(371\) | −2.42034e7 | + | 5.52427e6i | −0.473974 | + | 0.108181i | ||||
\(372\) | 3.82951e6 | + | 3.05393e6i | 0.0743900 | + | 0.0593241i | ||||
\(373\) | 1.73335e7 | + | 3.59934e7i | 0.334010 | + | 0.693579i | 0.998559 | − | 0.0536655i | \(-0.0170905\pi\) |
−0.664549 | + | 0.747245i | \(0.731376\pi\) | |||||||
\(374\) | −7.26993e6 | − | 1.65931e6i | −0.138968 | − | 0.0317186i | ||||
\(375\) | 1.23513e7 | − | 5.94806e6i | 0.234217 | − | 0.112793i | ||||
\(376\) | −6.16098e7 | + | 4.91322e7i | −1.15901 | + | 0.924278i | ||||
\(377\) | 8.52648e7 | − | 1.94611e7i | 1.59128 | − | 0.363199i | ||||
\(378\) | −7.35938e6 | + | 5.86891e6i | −0.136259 | + | 0.108663i | ||||
\(379\) | −4.44294e6 | + | 1.94658e7i | −0.0816118 | + | 0.357565i | −0.999201 | − | 0.0399650i | \(-0.987275\pi\) |
0.917589 | + | 0.397530i | \(0.130132\pi\) | |||||||
\(380\) | 1.12372e7 | 0.204789 | ||||||||
\(381\) | 8.02051e7i | 1.45020i | ||||||||
\(382\) | 1.83520e6 | − | 8.04054e6i | 0.0329225 | − | 0.144243i | ||||
\(383\) | −2.65311e7 | − | 2.11578e7i | −0.472236 | − | 0.376595i | 0.358259 | − | 0.933622i | \(-0.383371\pi\) |
−0.830494 | + | 0.557027i | \(0.811942\pi\) | |||||||
\(384\) | −1.33927e7 | − | 6.44956e6i | −0.236523 | − | 0.113903i | ||||
\(385\) | 1.31402e7 | − | 6.32799e6i | 0.230261 | − | 0.110888i | ||||
\(386\) | 6.65313e7i | 1.15682i | ||||||||
\(387\) | −112010. | − | 5.19830e7i | −0.00193252 | − | 0.896868i | ||||
\(388\) | 783163. | 0.0134078 | ||||||||
\(389\) | −3.10497e7 | − | 6.44754e7i | −0.527484 | − | 1.09533i | −0.979149 | − | 0.203144i | \(-0.934884\pi\) |
0.451665 | − | 0.892188i | \(-0.350830\pi\) | |||||||
\(390\) | −5.66166e7 | + | 1.17566e8i | −0.954442 | + | 1.98192i | ||||
\(391\) | −1.13083e8 | + | 1.41801e8i | −1.89176 | + | 2.37220i | ||||
\(392\) | −8.43291e7 | − | 1.92476e7i | −1.39997 | − | 0.319534i | ||||
\(393\) | −1.00425e8 | −1.65449 | ||||||||
\(394\) | − | 7.39693e7i | − | 1.20938i | ||||||
\(395\) | 4.44632e7 | + | 1.01484e7i | 0.721456 | + | 0.164668i | ||||
\(396\) | 1.40120e6 | + | 1.75705e6i | 0.0225640 | + | 0.0282943i | ||||
\(397\) | −1.59068e7 | − | 6.96923e7i | −0.254221 | − | 1.11381i | −0.927322 | − | 0.374264i | \(-0.877895\pi\) |
0.673101 | − | 0.739551i | \(-0.264962\pi\) | |||||||
\(398\) | 1.87744e7 | + | 2.35424e7i | 0.297795 | + | 0.373423i | ||||
\(399\) | −2.31219e7 | − | 4.80132e7i | −0.364004 | − | 0.755861i | ||||
\(400\) | −8.46004e6 | + | 3.70658e7i | −0.132188 | + | 0.579154i | ||||
\(401\) | −1.00126e7 | + | 4.82181e6i | −0.155279 | + | 0.0747785i | −0.509909 | − | 0.860228i | \(-0.670321\pi\) |
0.354630 | + | 0.935007i | \(0.384607\pi\) | |||||||
\(402\) | 6.39888e6 | − | 8.02395e6i | 0.0984977 | − | 0.123512i | ||||
\(403\) | 3.89569e6 | + | 1.70681e7i | 0.0595209 | + | 0.260778i | ||||
\(404\) | −2.63546e6 | − | 1.15467e7i | −0.0399680 | − | 0.175111i | ||||
\(405\) | −4.59495e7 | + | 9.54152e7i | −0.691697 | + | 1.43632i | ||||
\(406\) | −7.71335e7 | − | 6.15119e7i | −1.15256 | − | 0.919139i | ||||
\(407\) | 6.49613e6 | − | 5.18049e6i | 0.0963544 | − | 0.0768401i | ||||
\(408\) | 1.41113e8 | + | 6.79563e7i | 2.07771 | + | 1.00057i | ||||
\(409\) | 3.83549e7 | − | 7.96448e7i | 0.560597 | − | 1.16409i | −0.407427 | − | 0.913238i | \(-0.633574\pi\) |
0.968025 | − | 0.250855i | \(-0.0807117\pi\) | |||||||
\(410\) | 1.54125e7 | + | 1.93266e7i | 0.223625 | + | 0.280417i | ||||
\(411\) | −8.35953e7 | + | 1.04825e8i | −1.20408 | + | 1.50987i | ||||
\(412\) | 1.56121e7 | + | 7.51840e6i | 0.223239 | + | 0.107506i | ||||
\(413\) | −1.15048e8 | + | 2.62589e7i | −1.63316 | + | 0.372758i | ||||
\(414\) | −9.85884e7 | + | 2.25022e7i | −1.38939 | + | 0.317120i | ||||
\(415\) | −8.39512e7 | − | 6.69489e7i | −1.17458 | − | 0.936697i | ||||
\(416\) | 2.82015e7 | + | 5.85610e7i | 0.391735 | + | 0.813445i | ||||
\(417\) | 1.15517e8 | + | 2.63660e7i | 1.59308 | + | 0.363610i | ||||
\(418\) | −2.43855e6 | + | 1.17434e6i | −0.0333890 | + | 0.0160793i | ||||
\(419\) | 4.91612e7 | − | 3.92048e7i | 0.668314 | − | 0.532963i | −0.229516 | − | 0.973305i | \(-0.573714\pi\) |
0.897830 | + | 0.440342i | \(0.145143\pi\) | |||||||
\(420\) | −7.75716e7 | + | 1.77052e7i | −1.04702 | + | 0.238975i | ||||
\(421\) | 1.78034e7 | − | 1.41977e7i | 0.238592 | − | 0.190271i | −0.496893 | − | 0.867812i | \(-0.665526\pi\) |
0.735485 | + | 0.677541i | \(0.236954\pi\) | |||||||
\(422\) | 312639. | − | 1.36976e6i | 0.00416012 | − | 0.0182267i | ||||
\(423\) | 9.24580e7 | 1.22158 | ||||||||
\(424\) | − | 2.64834e7i | − | 0.347437i | ||||||
\(425\) | 2.96786e7 | − | 1.30031e8i | 0.386614 | − | 1.69387i | ||||
\(426\) | −5.58614e6 | − | 4.45479e6i | −0.0722575 | − | 0.0576234i | ||||
\(427\) | 9.16352e7 | + | 4.41292e7i | 1.17701 | + | 0.566817i | ||||
\(428\) | 6.09156e6 | − | 2.93354e6i | 0.0776957 | − | 0.0374163i | ||||
\(429\) | 1.69888e7i | 0.215175i | ||||||||
\(430\) | 4.03754e7 | − | 8.43047e7i | 0.507822 | − | 1.06034i | ||||
\(431\) | 6.99118e7 | 0.873210 | 0.436605 | − | 0.899653i | \(-0.356181\pi\) | ||||
0.436605 | + | 0.899653i | \(0.356181\pi\) | |||||||
\(432\) | −2.61349e6 | − | 5.42697e6i | −0.0324168 | − | 0.0673141i | ||||
\(433\) | 5.73791e7 | − | 1.19149e8i | 0.706789 | − | 1.46766i | −0.169325 | − | 0.985560i | \(-0.554159\pi\) |
0.876114 | − | 0.482103i | \(-0.160127\pi\) | |||||||
\(434\) | 1.23133e7 | − | 1.54404e7i | 0.150628 | − | 0.188882i | ||||
\(435\) | −1.93769e8 | − | 4.42266e7i | −2.35406 | − | 0.537299i | ||||
\(436\) | −5.66249e7 | −0.683200 | ||||||||
\(437\) | 6.58312e7i | 0.788838i | ||||||||
\(438\) | 5.69373e7 | + | 1.29956e7i | 0.677602 | + | 0.154658i | ||||
\(439\) | 7.94195e7 | + | 9.95889e7i | 0.938714 | + | 1.17711i | 0.984006 | + | 0.178137i | \(0.0570069\pi\) |
−0.0452915 | + | 0.998974i | \(0.514422\pi\) | |||||||
\(440\) | 3.46205e6 | + | 1.51682e7i | 0.0406420 | + | 0.178064i | ||||
\(441\) | 6.32765e7 | + | 7.93462e7i | 0.737779 | + | 0.925146i | ||||
\(442\) | 6.30888e7 | + | 1.31005e8i | 0.730610 | + | 1.51713i | ||||
\(443\) | 7.09396e6 | − | 3.10807e7i | 0.0815977 | − | 0.357503i | −0.917602 | − | 0.397500i | \(-0.869878\pi\) |
0.999200 | + | 0.0399974i | \(0.0127350\pi\) | |||||||
\(444\) | −4.08403e7 | + | 1.96677e7i | −0.466595 | + | 0.224700i | ||||
\(445\) | 1.58116e7 | − | 1.98271e7i | 0.179430 | − | 0.224998i | ||||
\(446\) | 403220. | + | 1.76662e6i | 0.00454504 | + | 0.0199131i | ||||
\(447\) | 2.28931e7 | + | 1.00301e8i | 0.256319 | + | 1.12301i | ||||
\(448\) | 6.30655e7 | − | 1.30957e8i | 0.701388 | − | 1.45645i | ||||
\(449\) | −3.70120e7 | − | 2.95161e7i | −0.408888 | − | 0.326077i | 0.397352 | − | 0.917666i | \(-0.369929\pi\) |
−0.806239 | + | 0.591589i | \(0.798501\pi\) | |||||||
\(450\) | 5.81396e7 | − | 4.63648e7i | 0.638021 | − | 0.508804i | ||||
\(451\) | 2.89965e6 | + | 1.39640e6i | 0.0316093 | + | 0.0152223i | ||||
\(452\) | −7.30261e6 | + | 1.51640e7i | −0.0790793 | + | 0.164210i | ||||
\(453\) | 2.36507e7 | + | 2.96570e7i | 0.254419 | + | 0.319031i | ||||
\(454\) | −5.79389e7 | + | 7.26531e7i | −0.619160 | + | 0.776402i | ||||
\(455\) | −2.56226e8 | − | 1.23392e8i | −2.72013 | − | 1.30994i | ||||
\(456\) | 5.54234e7 | − | 1.26500e7i | 0.584519 | − | 0.133413i | ||||
\(457\) | 1.04253e8 | − | 2.37951e7i | 1.09230 | − | 0.249309i | 0.361820 | − | 0.932248i | \(-0.382156\pi\) |
0.730476 | + | 0.682939i | \(0.239298\pi\) | |||||||
\(458\) | −4.31960e7 | − | 3.44477e7i | −0.449622 | − | 0.358562i | ||||
\(459\) | 9.16839e6 | + | 1.90384e7i | 0.0948102 | + | 0.196875i | ||||
\(460\) | 9.58261e7 | + | 2.18717e7i | 0.984487 | + | 0.224703i | ||||
\(461\) | 6.16340e7 | − | 2.96813e7i | 0.629096 | − | 0.302957i | −0.0920343 | − | 0.995756i | \(-0.529337\pi\) |
0.721131 | + | 0.692799i | \(0.243623\pi\) | |||||||
\(462\) | 1.49833e7 | − | 1.19488e7i | 0.151944 | − | 0.121171i | ||||
\(463\) | −8.24919e7 | + | 1.88282e7i | −0.831129 | + | 0.189700i | −0.616858 | − | 0.787074i | \(-0.711595\pi\) |
−0.214271 | + | 0.976774i | \(0.568738\pi\) | |||||||
\(464\) | 4.93586e7 | − | 3.93622e7i | 0.494093 | − | 0.394026i | ||||
\(465\) | 8.85320e6 | − | 3.87884e7i | 0.0880524 | − | 0.385783i | ||||
\(466\) | −5.51700e7 | −0.545186 | ||||||||
\(467\) | 1.47361e8i | 1.44688i | 0.690387 | + | 0.723440i | \(0.257440\pi\) | ||||
−0.690387 | + | 0.723440i | \(0.742560\pi\) | |||||||
\(468\) | 9.75131e6 | − | 4.27233e7i | 0.0951318 | − | 0.416800i | ||||
\(469\) | 1.74876e7 | + | 1.39459e7i | 0.169517 | + | 0.135185i | ||||
\(470\) | 1.49791e8 | + | 7.21353e7i | 1.44275 | + | 0.694791i | ||||
\(471\) | 3.74142e7 | − | 1.80177e7i | 0.358074 | − | 0.172440i | ||||
\(472\) | − | 1.25885e8i | − | 1.19715i | ||||||
\(473\) | −26222.8 | − | 1.21698e7i | −0.000247797 | − | 0.115001i | ||||
\(474\) | 5.99282e7 | 0.562725 | ||||||||
\(475\) | −2.10044e7 | − | 4.36161e7i | −0.195988 | − | 0.406974i | ||||
\(476\) | −3.84691e7 | + | 7.98819e7i | −0.356690 | + | 0.740675i | ||||
\(477\) | −1.93736e7 | + | 2.42938e7i | −0.178507 | + | 0.223841i | ||||
\(478\) | −9.70034e7 | − | 2.21404e7i | −0.888185 | − | 0.202722i | ||||
\(479\) | 9.76513e7 | 0.888529 | 0.444264 | − | 0.895896i | \(-0.353465\pi\) | ||||
0.444264 | + | 0.895896i | \(0.353465\pi\) | |||||||
\(480\) | − | 1.47711e8i | − | 1.33564i | ||||||
\(481\) | −1.57956e8 | − | 3.60523e7i | −1.41938 | − | 0.323965i | ||||
\(482\) | −1.86475e7 | − | 2.33832e7i | −0.166525 | − | 0.208815i | ||||
\(483\) | −1.03723e8 | − | 4.54441e8i | −0.920522 | − | 4.03307i | ||||
\(484\) | −2.44759e7 | − | 3.06918e7i | −0.215875 | − | 0.270699i | ||||
\(485\) | −2.76010e6 | − | 5.73140e6i | −0.0241935 | − | 0.0502384i | ||||
\(486\) | −2.80426e7 | + | 1.22863e8i | −0.244292 | + | 1.07031i | ||||
\(487\) | 9.92166e7 | − | 4.77802e7i | 0.859009 | − | 0.413677i | 0.0480952 | − | 0.998843i | \(-0.484685\pi\) |
0.810914 | + | 0.585166i | \(0.198971\pi\) | |||||||
\(488\) | −6.76475e7 | + | 8.48273e7i | −0.582093 | + | 0.729922i | ||||
\(489\) | −1.82790e6 | − | 8.00854e6i | −0.0156324 | − | 0.0684899i | ||||
\(490\) | 4.06082e7 | + | 1.77916e8i | 0.345164 | + | 1.51226i | ||||
\(491\) | 1.21237e7 | − | 2.51752e7i | 0.102422 | − | 0.212681i | −0.843460 | − | 0.537191i | \(-0.819485\pi\) |
0.945882 | + | 0.324511i | \(0.105200\pi\) | |||||||
\(492\) | −1.37273e7 | − | 1.09472e7i | −0.115263 | − | 0.0919193i | ||||
\(493\) | −1.73155e8 | + | 1.38086e8i | −1.44509 | + | 1.15242i | ||||
\(494\) | 4.75503e7 | + | 2.28990e7i | 0.394432 | + | 0.189948i | ||||
\(495\) | 7.92034e6 | − | 1.64467e7i | 0.0653022 | − | 0.135601i | ||||
\(496\) | 7.87944e6 | + | 9.88050e6i | 0.0645729 | + | 0.0809718i | ||||
\(497\) | 9.70892e6 | − | 1.21746e7i | 0.0790864 | − | 0.0991712i | ||||
\(498\) | −1.27124e8 | − | 6.12195e7i | −1.02929 | − | 0.495681i | ||||
\(499\) | 1.42322e8 | − | 3.24840e7i | 1.14543 | − | 0.261438i | 0.392638 | − | 0.919693i | \(-0.371562\pi\) |
0.752795 | + | 0.658255i | \(0.228705\pi\) | |||||||
\(500\) | −8.07098e6 | + | 1.84215e6i | −0.0645679 | + | 0.0147372i | ||||
\(501\) | 2.07458e8 | + | 1.65443e8i | 1.64975 | + | 1.31563i | ||||
\(502\) | −6.52021e7 | − | 1.35394e8i | −0.515408 | − | 1.07025i | ||||
\(503\) | −2.03649e8 | − | 4.64815e7i | −1.60021 | − | 0.365238i | −0.672961 | − | 0.739678i | \(-0.734978\pi\) |
−0.927251 | + | 0.374440i | \(0.877835\pi\) | |||||||
\(504\) | −1.71473e8 | + | 8.25770e7i | −1.33938 | + | 0.645012i | ||||
\(505\) | −7.52139e7 | + | 5.99811e7i | −0.584015 | + | 0.465736i | ||||
\(506\) | −2.30807e7 | + | 5.26802e6i | −0.178155 | + | 0.0406626i | ||||
\(507\) | 1.18667e8 | − | 9.46334e7i | 0.910551 | − | 0.726140i | ||||
\(508\) | 1.07777e7 | − | 4.72201e7i | 0.0822117 | − | 0.360193i | ||||
\(509\) | −9.08791e7 | −0.689145 | −0.344573 | − | 0.938760i | \(-0.611976\pi\) | ||||
−0.344573 | + | 0.938760i | \(0.611976\pi\) | |||||||
\(510\) | − | 3.30441e8i | − | 2.49106i | ||||||
\(511\) | −2.83230e7 | + | 1.24091e8i | −0.212264 | + | 0.929988i | ||||
\(512\) | 9.67581e7 | + | 7.71620e7i | 0.720904 | + | 0.574902i | ||||
\(513\) | 6.91025e6 | + | 3.32780e6i | 0.0511849 | + | 0.0246493i | ||||
\(514\) | −1.91701e7 | + | 9.23183e6i | −0.141168 | + | 0.0679827i | ||||
\(515\) | − | 1.40751e8i | − | 1.03046i | ||||||
\(516\) | −1.46343e7 | + | 6.47601e7i | −0.106518 | + | 0.471366i | ||||
\(517\) | 2.16455e7 | 0.156637 | ||||||||
\(518\) | 7.92991e7 | + | 1.64666e8i | 0.570531 | + | 1.18472i | ||||
\(519\) | 7.07630e7 | − | 1.46941e8i | 0.506179 | − | 1.05109i | ||||
\(520\) | 1.89153e8 | − | 2.37190e8i | 1.34525 | − | 1.68689i | ||||
\(521\) | 8.23525e7 | + | 1.87964e7i | 0.582323 | + | 0.132911i | 0.503527 | − | 0.863979i | \(-0.332035\pi\) |
0.0787957 | + | 0.996891i | \(0.474893\pi\) | |||||||
\(522\) | −1.23483e8 | −0.868152 | ||||||||
\(523\) | 7.93006e7i | 0.554334i | 0.960822 | + | 0.277167i | \(0.0893955\pi\) | ||||
−0.960822 | + | 0.277167i | \(0.910605\pi\) | |||||||
\(524\) | 5.91244e7 | + | 1.34948e7i | 0.410935 | + | 0.0937932i | ||||
\(525\) | 2.13717e8 | + | 2.67993e8i | 1.47694 | + | 1.85202i | ||||
\(526\) | 3.18116e7 | + | 1.39376e8i | 0.218589 | + | 0.957701i | ||||
\(527\) | −2.76418e7 | − | 3.46618e7i | −0.188858 | − | 0.236820i | ||||
\(528\) | 5.32094e6 | + | 1.10490e7i | 0.0361482 | + | 0.0750625i | ||||
\(529\) | −9.51906e7 | + | 4.17057e8i | −0.643024 | + | 2.81727i | ||||
\(530\) | −5.03409e7 | + | 2.42429e7i | −0.338138 | + | 0.162839i | ||||
\(531\) | −9.20900e7 | + | 1.15477e8i | −0.615077 | + | 0.771282i | ||||
\(532\) | 7.16101e6 | + | 3.13744e7i | 0.0475597 | + | 0.208373i | ||||
\(533\) | −1.39646e7 | − | 6.11827e7i | −0.0922243 | − | 0.404061i | ||||
\(534\) | 1.44585e7 | − | 3.00233e7i | 0.0949508 | − | 0.197167i | ||||
\(535\) | −4.29369e7 | − | 3.42410e7i | −0.280394 | − | 0.223607i | ||||
\(536\) | −1.86553e7 | + | 1.48771e7i | −0.121145 | + | 0.0966102i | ||||
\(537\) | 1.52624e8 | + | 7.34999e7i | 0.985599 | + | 0.474639i | ||||
\(538\) | 1.02217e8 | − | 2.12256e8i | 0.656413 | − | 1.36306i | ||||
\(539\) | 1.48137e7 | + | 1.85758e7i | 0.0946016 | + | 0.118627i | ||||
\(540\) | 7.13990e6 | − | 8.95316e6i | 0.0453431 | − | 0.0568584i | ||||
\(541\) | −1.92816e8 | − | 9.28553e7i | −1.21773 | − | 0.586428i | −0.289052 | − | 0.957313i | \(-0.593340\pi\) |
−0.928679 | + | 0.370885i | \(0.879054\pi\) | |||||||
\(542\) | −8.10108e7 | + | 1.84902e7i | −0.508798 | + | 0.116130i | ||||
\(543\) | −4.46282e7 | + | 1.01861e7i | −0.278747 | + | 0.0636221i | ||||
\(544\) | −1.28687e8 | − | 1.02625e8i | −0.799354 | − | 0.637464i | ||||
\(545\) | 1.99563e8 | + | 4.14396e8i | 1.23279 | + | 2.55992i | ||||
\(546\) | −3.64325e8 | − | 8.31547e7i | −2.23826 | − | 0.510868i | ||||
\(547\) | 9.60037e7 | − | 4.62330e7i | 0.586578 | − | 0.282481i | −0.116962 | − | 0.993136i | \(-0.537316\pi\) |
0.703541 | + | 0.710655i | \(0.251601\pi\) | |||||||
\(548\) | 6.33020e7 | − | 5.04817e7i | 0.384659 | − | 0.306755i | ||||
\(549\) | 1.24109e8 | − | 2.83270e7i | 0.750043 | − | 0.171192i | ||||
\(550\) | 1.36112e7 | − | 1.08545e7i | 0.0818101 | − | 0.0652414i | ||||
\(551\) | −1.78878e7 | + | 7.83715e7i | −0.106931 | + | 0.468493i | ||||
\(552\) | 4.97250e8 | 2.95636 | ||||||||
\(553\) | 1.30609e8i | 0.772323i | ||||||||
\(554\) | 9.04972e6 | − | 3.96494e7i | 0.0532238 | − | 0.233189i | ||||
\(555\) | 2.87867e8 | + | 2.29566e8i | 1.68388 | + | 1.34285i | ||||
\(556\) | −6.44666e7 | − | 3.10455e7i | −0.375069 | − | 0.180624i | ||||
\(557\) | −1.22429e8 | + | 5.89589e7i | −0.708468 | + | 0.341180i | −0.753175 | − | 0.657820i | \(-0.771479\pi\) |
0.0447073 | + | 0.999000i | \(0.485764\pi\) | |||||||
\(558\) | − | 2.47186e7i | − | 0.142273i | ||||||
\(559\) | −1.85213e8 | + | 1.48356e8i | −1.06032 | + | 0.849319i | ||||
\(560\) | −2.05289e8 | −1.16897 | ||||||||
\(561\) | −1.86664e7 | − | 3.87612e7i | −0.105724 | − | 0.219537i | ||||
\(562\) | −2.78127e6 | + | 5.77536e6i | −0.0156687 | + | 0.0325365i | ||||
\(563\) | −1.44329e8 | + | 1.80983e8i | −0.808779 | + | 1.01418i | 0.190692 | + | 0.981650i | \(0.438927\pi\) |
−0.999471 | + | 0.0325264i | \(0.989645\pi\) | |||||||
\(564\) | −1.15127e8 | − | 2.62770e7i | −0.641712 | − | 0.146467i | ||||
\(565\) | 1.36711e8 | 0.757981 | ||||||||
\(566\) | 2.68663e8i | 1.48169i | ||||||||
\(567\) | −2.95683e8 | − | 6.74877e7i | −1.62210 | − | 0.370233i | ||||
\(568\) | 1.03572e7 | + | 1.29875e7i | 0.0565192 | + | 0.0708728i | ||||
\(569\) | −3.55906e7 | − | 1.55933e8i | −0.193196 | − | 0.846448i | −0.974872 | − | 0.222764i | \(-0.928492\pi\) |
0.781676 | − | 0.623685i | \(-0.214365\pi\) | |||||||
\(570\) | −7.47804e7 | − | 9.37717e7i | −0.403797 | − | 0.506346i | ||||
\(571\) | 1.45641e8 | + | 3.02427e8i | 0.782304 | + | 1.62447i | 0.781047 | + | 0.624472i | \(0.214686\pi\) |
0.00125654 | + | 0.999999i | \(0.499600\pi\) | |||||||
\(572\) | 2.28289e6 | − | 1.00020e7i | 0.0121983 | − | 0.0534441i | ||||
\(573\) | 4.28698e7 | − | 2.06450e7i | 0.227870 | − | 0.109736i | ||||
\(574\) | −4.41385e7 | + | 5.53480e7i | −0.233390 | + | 0.292662i | ||||
\(575\) | −9.42242e7 | − | 4.12823e8i | −0.495631 | − | 2.17150i | ||||
\(576\) | −4.04825e7 | − | 1.77365e8i | −0.211836 | − | 0.928114i | ||||
\(577\) | 1.40675e8 | − | 2.92115e8i | 0.732301 | − | 1.52064i | −0.117233 | − | 0.993104i | \(-0.537402\pi\) |
0.849534 | − | 0.527534i | \(-0.176883\pi\) | |||||||
\(578\) | −1.66248e8 | − | 1.32578e8i | −0.860938 | − | 0.686575i | ||||
\(579\) | −3.00102e8 | + | 2.39323e8i | −1.54608 | + | 1.23296i | ||||
\(580\) | 1.08137e8 | + | 5.20761e7i | 0.554231 | + | 0.266904i | ||||
\(581\) | 1.33424e8 | − | 2.77057e8i | 0.680307 | − | 1.41267i | ||||
\(582\) | −5.21174e6 | − | 6.53532e6i | −0.0264371 | − | 0.0331511i | ||||
\(583\) | −4.53559e6 | + | 5.68745e6i | −0.0228891 | + | 0.0287020i | ||||
\(584\) | −1.22334e8 | − | 5.89130e7i | −0.614199 | − | 0.295782i | ||||
\(585\) | −3.47027e8 | + | 7.92067e7i | −1.73339 | + | 0.395635i | ||||
\(586\) | 1.20552e8 | − | 2.75152e7i | 0.599075 | − | 0.136735i | ||||
\(587\) | 1.84146e8 | + | 1.46851e8i | 0.910431 | + | 0.726044i | 0.962122 | − | 0.272619i | \(-0.0878898\pi\) |
−0.0516915 | + | 0.998663i | \(0.516461\pi\) | |||||||
\(588\) | −5.62401e7 | − | 1.16784e8i | −0.276640 | − | 0.574448i | ||||
\(589\) | −1.56883e7 | − | 3.58074e6i | −0.0767766 | − | 0.0175238i | ||||
\(590\) | −2.39289e8 | + | 1.15236e8i | −1.16511 | + | 0.561088i | ||||
\(591\) | 3.33652e8 | − | 2.66079e8i | 1.61634 | − | 1.28898i | ||||
\(592\) | −1.14022e8 | + | 2.60247e7i | −0.549569 | + | 0.125436i | ||||
\(593\) | 2.22346e8 | − | 1.77315e8i | 1.06627 | − | 0.850319i | 0.0770860 | − | 0.997024i | \(-0.475438\pi\) |
0.989180 | + | 0.146705i | \(0.0468670\pi\) | |||||||
\(594\) | −613761. | + | 2.68906e6i | −0.00292846 | + | 0.0128304i | ||||
\(595\) | 7.20174e8 | 3.41890 | ||||||||
\(596\) | − | 6.21277e7i | − | 0.293458i | ||||||
\(597\) | −3.86578e7 | + | 1.69371e8i | −0.181683 | + | 0.796005i | ||||
\(598\) | 3.60919e8 | + | 2.87824e8i | 1.68774 | + | 1.34593i | ||||
\(599\) | −1.88919e8 | − | 9.09788e7i | −0.879015 | − | 0.423311i | −0.0607501 | − | 0.998153i | \(-0.519349\pi\) |
−0.818265 | + | 0.574842i | \(0.805064\pi\) | |||||||
\(600\) | −3.29450e8 | + | 1.58655e8i | −1.52523 | + | 0.734514i | ||||
\(601\) | 2.87692e8i | 1.32527i | 0.748943 | + | 0.662635i | \(0.230562\pi\) | ||||
−0.748943 | + | 0.662635i | \(0.769438\pi\) | |||||||
\(602\) | 2.61110e8 | + | 5.90050e7i | 1.19683 | + | 0.270458i | ||||
\(603\) | 2.79960e7 | 0.127686 | ||||||||
\(604\) | −9.93894e6 | − | 2.06384e7i | −0.0451055 | − | 0.0936625i | ||||
\(605\) | −1.38351e8 | + | 2.87288e8i | −0.624762 | + | 1.29733i | ||||
\(606\) | −7.88164e7 | + | 9.88327e7i | −0.354159 | + | 0.444102i | ||||
\(607\) | −6.71927e7 | − | 1.53363e7i | −0.300439 | − | 0.0685731i | 0.0696443 | − | 0.997572i | \(-0.477814\pi\) |
−0.370083 | + | 0.928999i | \(0.620671\pi\) | |||||||
\(608\) | −5.97430e7 | −0.265813 | ||||||||
\(609\) | − | 5.69192e8i | − | 2.52004i | ||||||
\(610\) | 2.23169e8 | + | 5.09368e7i | 0.983204 | + | 0.224410i | ||||
\(611\) | −2.63159e8 | − | 3.29990e8i | −1.15370 | − | 1.44670i | ||||
\(612\) | 2.46938e7 | + | 1.08190e8i | 0.107729 | + | 0.471992i | ||||
\(613\) | −3.11351e7 | − | 3.90421e7i | −0.135166 | − | 0.169493i | 0.709642 | − | 0.704563i | \(-0.248857\pi\) |
−0.844808 | + | 0.535070i | \(0.820285\pi\) | |||||||
\(614\) | −7.93003e7 | − | 1.64669e8i | −0.342586 | − | 0.711387i | ||||
\(615\) | −3.17353e7 | + | 1.39041e8i | −0.136432 | + | 0.597749i | ||||
\(616\) | −4.01438e7 | + | 1.93322e7i | −0.171742 | + | 0.0827065i | ||||
\(617\) | −1.91046e7 | + | 2.39565e7i | −0.0813361 | + | 0.101992i | −0.820835 | − | 0.571166i | \(-0.806491\pi\) |
0.739499 | + | 0.673158i | \(0.235063\pi\) | |||||||
\(618\) | −4.11552e7 | − | 1.80313e8i | −0.174365 | − | 0.763942i | ||||
\(619\) | −4.55054e7 | − | 1.99372e8i | −0.191863 | − | 0.840607i | −0.975607 | − | 0.219523i | \(-0.929550\pi\) |
0.783744 | − | 0.621084i | \(-0.213307\pi\) | |||||||
\(620\) | −1.04245e7 | + | 2.16467e7i | −0.0437401 | + | 0.0908272i | ||||
\(621\) | 5.24507e7 | + | 4.18280e7i | 0.219016 | + | 0.174660i | ||||
\(622\) | 1.79252e8 | − | 1.42949e8i | 0.744892 | − | 0.594032i | ||||
\(623\) | 6.54338e7 | + | 3.15112e7i | 0.270606 | + | 0.130317i | ||||
\(624\) | 1.03755e8 | − | 2.15450e8i | 0.427027 | − | 0.886731i | ||||
\(625\) | −1.29983e8 | − | 1.62993e8i | −0.532410 | − | 0.667621i | ||||
\(626\) | 3.45234e7 | − | 4.32909e7i | 0.140731 | − | 0.176471i | ||||
\(627\) | −1.40689e7 | − | 6.77524e6i | −0.0570767 | − | 0.0274867i | ||||
\(628\) | −2.44484e7 | + | 5.58019e6i | −0.0987124 | + | 0.0225305i | ||||
\(629\) | 3.99999e8 | − | 9.12972e7i | 1.60734 | − | 0.366865i | ||||
\(630\) | 3.13933e8 | + | 2.50353e8i | 1.25550 | + | 1.00122i | ||||
\(631\) | −1.75181e8 | − | 3.63767e8i | −0.697266 | − | 1.44789i | −0.884964 | − | 0.465660i | \(-0.845817\pi\) |
0.187698 | − | 0.982227i | \(-0.439897\pi\) | |||||||
\(632\) | −1.35837e8 | − | 3.10038e7i | −0.538103 | − | 0.122819i | ||||
\(633\) | 7.30316e6 | − | 3.51702e6i | 0.0287938 | − | 0.0138664i | ||||
\(634\) | 8.32142e7 | − | 6.63611e7i | 0.326535 | − | 0.260403i | ||||
\(635\) | −3.83553e8 | + | 8.75435e7i | −1.49797 | + | 0.341903i | ||||
\(636\) | 3.10281e7 | − | 2.47441e7i | 0.120610 | − | 0.0961833i | ||||
\(637\) | 1.03093e8 | − | 4.51678e8i | 0.398849 | − | 1.74747i | ||||
\(638\) | −2.89088e7 | −0.111319 | ||||||||
\(639\) | − | 1.94903e7i | − | 0.0746993i | ||||||
\(640\) | 1.62248e7 | − | 7.10854e7i | 0.0618926 | − | 0.271169i | ||||
\(641\) | −1.37545e8 | − | 1.09689e8i | −0.522242 | − | 0.416474i | 0.326567 | − | 0.945174i | \(-0.394108\pi\) |
−0.848809 | + | 0.528700i | \(0.822680\pi\) | |||||||
\(642\) | −6.50174e7 | − | 3.13107e7i | −0.245711 | − | 0.118328i | ||||
\(643\) | −9.36142e7 | + | 4.50822e7i | −0.352135 | + | 0.169579i | −0.601586 | − | 0.798808i | \(-0.705464\pi\) |
0.249451 | + | 0.968387i | \(0.419750\pi\) | |||||||
\(644\) | 2.81486e8i | 1.05390i | ||||||||
\(645\) | 5.25508e8 | − | 1.21136e8i | 1.95839 | − | 0.451433i | ||||
\(646\) | −1.33649e8 | −0.495758 | ||||||||
\(647\) | 7.53005e7 | + | 1.56363e8i | 0.278026 | + | 0.577326i | 0.992487 | − | 0.122348i | \(-0.0390425\pi\) |
−0.714461 | + | 0.699675i | \(0.753328\pi\) | |||||||
\(648\) | 1.40377e8 | − | 2.91496e8i | 0.515907 | − | 1.07129i | ||||
\(649\) | −2.15593e7 | + | 2.70346e7i | −0.0788681 | + | 0.0988974i | ||||
\(650\) | −3.30960e8 | − | 7.55394e7i | −1.20513 | − | 0.275064i | ||||
\(651\) | 1.13940e8 | 0.412983 | ||||||||
\(652\) | 4.96058e6i | 0.0178974i | ||||||||
\(653\) | 1.68144e8 | + | 3.83779e7i | 0.603869 | + | 0.137829i | 0.513515 | − | 0.858080i | \(-0.328343\pi\) |
0.0903541 | + | 0.995910i | \(0.471200\pi\) | |||||||
\(654\) | 3.76823e8 | + | 4.72522e8i | 1.34711 | + | 1.68923i | ||||
\(655\) | −1.09613e8 | − | 4.80248e8i | −0.390068 | − | 1.70900i | ||||
\(656\) | −2.82448e7 | − | 3.54178e7i | −0.100052 | − | 0.125461i | ||||
\(657\) | 6.91224e7 | + | 1.43534e8i | 0.243738 | + | 0.506126i | ||||
\(658\) | −1.05948e8 | + | 4.64187e8i | −0.371889 | + | 1.62935i | ||||
\(659\) | −7.78758e6 | + | 3.75030e6i | −0.0272111 | + | 0.0131042i | −0.447440 | − | 0.894314i | \(-0.647664\pi\) |
0.420229 | + | 0.907418i | \(0.361950\pi\) | |||||||
\(660\) | −1.45365e7 | + | 1.82282e7i | −0.0505624 | + | 0.0634033i | ||||
\(661\) | −7.04126e7 | − | 3.08498e8i | −0.243807 | − | 1.06819i | −0.937519 | − | 0.347935i | \(-0.886883\pi\) |
0.693712 | − | 0.720253i | \(-0.255974\pi\) | |||||||
\(662\) | 2.16230e7 | + | 9.47364e7i | 0.0745318 | + | 0.326545i | ||||
\(663\) | −3.63983e8 | + | 7.55819e8i | −1.24894 | + | 2.59344i | ||||
\(664\) | 2.56474e8 | + | 2.04531e8i | 0.876070 | + | 0.698642i | ||||
\(665\) | 2.04369e8 | − | 1.62979e8i | 0.694945 | − | 0.554200i | ||||
\(666\) | 2.06102e8 | + | 9.92536e7i | 0.697686 | + | 0.335988i | ||||
\(667\) | −3.05080e8 | + | 6.33504e8i | −1.02810 | + | 2.13487i | ||||
\(668\) | −9.99078e7 | − | 1.25280e8i | −0.335174 | − | 0.420295i | ||||
\(669\) | −6.51823e6 | + | 8.17360e6i | −0.0217696 | + | 0.0272983i | ||||
\(670\) | 4.53561e7 | + | 2.18423e7i | 0.150803 | + | 0.0726231i | ||||
\(671\) | 2.90553e7 | − | 6.63169e6i | 0.0961741 | − | 0.0219511i | ||||
\(672\) | 4.12413e8 | − | 9.41306e7i | 1.35902 | − | 0.310187i | ||||
\(673\) | 9.23677e7 | + | 7.36608e7i | 0.303023 | + | 0.241652i | 0.763182 | − | 0.646184i | \(-0.223636\pi\) |
−0.460159 | + | 0.887836i | \(0.652208\pi\) | |||||||
\(674\) | −1.22371e8 | − | 2.54106e8i | −0.399667 | − | 0.829917i | ||||
\(675\) | −4.80968e7 | − | 1.09778e7i | −0.156388 | − | 0.0356946i | ||||
\(676\) | −8.25804e7 | + | 3.97686e7i | −0.267323 | + | 0.128736i | ||||
\(677\) | 3.32933e7 | − | 2.65505e7i | 0.107298 | − | 0.0855672i | −0.568371 | − | 0.822772i | \(-0.692426\pi\) |
0.675669 | + | 0.737205i | \(0.263855\pi\) | |||||||
\(678\) | 1.75137e8 | − | 3.99739e7i | 0.561939 | − | 0.128259i | ||||
\(679\) | 1.42433e7 | − | 1.13586e7i | 0.0454989 | − | 0.0362841i | ||||
\(680\) | −1.70954e8 | + | 7.48997e8i | −0.543690 | + | 2.38206i | ||||
\(681\) | −5.36130e8 | −1.69757 | ||||||||
\(682\) | − | 5.78691e6i | − | 0.0182429i | ||||||
\(683\) | 4.62698e7 | − | 2.02721e8i | 0.145223 | − | 0.636264i | −0.848951 | − | 0.528472i | \(-0.822765\pi\) |
0.994174 | − | 0.107791i | \(-0.0343778\pi\) | |||||||
\(684\) | 3.14915e7 | + | 2.51137e7i | 0.0984069 | + | 0.0784769i | ||||
\(685\) | −5.92534e8 | − | 2.85349e8i | −1.84349 | − | 0.887779i | ||||
\(686\) | −1.13980e8 | + | 5.48899e7i | −0.353067 | + | 0.170028i | ||||
\(687\) | − | 3.18757e8i | − | 0.983082i | ||||||
\(688\) | −7.39917e7 | + | 1.54496e8i | −0.227205 | + | 0.474408i | ||||
\(689\) | 1.41849e8 | 0.433678 | ||||||||
\(690\) | −4.55183e8 | − | 9.45197e8i | −1.38560 | − | 2.87723i | ||||
\(691\) | −1.44536e8 | + | 3.00131e8i | −0.438067 | + | 0.909656i | 0.558704 | + | 0.829367i | \(0.311299\pi\) |
−0.996772 | + | 0.0802890i | \(0.974416\pi\) | |||||||
\(692\) | −6.14065e7 | + | 7.70013e7i | −0.185309 | + | 0.232370i | ||||
\(693\) | 5.09670e7 | + | 1.16329e7i | 0.153140 | + | 0.0349532i | ||||
\(694\) | −4.97717e8 | −1.48903 | ||||||||
\(695\) | 5.81198e8i | 1.73129i | ||||||||
\(696\) | 5.91972e8 | + | 1.35114e8i | 1.75579 | + | 0.400748i | ||||
\(697\) | 9.90854e7 | + | 1.24249e8i | 0.292625 | + | 0.366940i | ||||
\(698\) | −3.87039e7 | − | 1.69573e8i | −0.113812 | − | 0.498644i | ||||
\(699\) | −1.98455e8 | − | 2.48854e8i | −0.581071 | − | 0.728640i | ||||
\(700\) | −8.98123e7 | − | 1.86497e8i | −0.261844 | − | 0.543724i | ||||
\(701\) | −1.47310e8 | + | 6.45407e8i | −0.427639 | + | 1.87361i | 0.0561438 | + | 0.998423i | \(0.482119\pi\) |
−0.483783 | + | 0.875188i | \(0.660738\pi\) | |||||||
\(702\) | 4.84573e7 | − | 2.33358e7i | 0.140071 | − | 0.0674545i | ||||
\(703\) | 9.28497e7 | − | 1.16430e8i | 0.267248 | − | 0.335118i | ||||
\(704\) | −9.47742e6 | − | 4.15233e7i | −0.0271626 | − | 0.119007i | ||||
\(705\) | 2.13439e8 | + | 9.35139e8i | 0.609126 | + | 2.66876i | ||||
\(706\) | 5.24258e7 | − | 1.08863e8i | 0.148981 | − | 0.309362i | ||||
\(707\) | −2.15399e8 | − | 1.71775e8i | −0.609517 | − | 0.486073i | ||||
\(708\) | 1.47488e8 | − | 1.17618e8i | 0.415582 | − | 0.331416i | ||||
\(709\) | 5.37367e8 | + | 2.58782e8i | 1.50776 | + | 0.726098i | 0.991472 | − | 0.130317i | \(-0.0415996\pi\) |
0.516287 | + | 0.856416i | \(0.327314\pi\) | |||||||
\(710\) | 1.52063e7 | − | 3.15761e7i | 0.0424862 | − | 0.0882235i | ||||
\(711\) | 1.01925e8 | + | 1.27810e8i | 0.283578 | + | 0.355596i | ||||
\(712\) | −4.83049e7 | + | 6.05725e7i | −0.133829 | + | 0.167817i | ||||
\(713\) | −1.26814e8 | − | 6.10702e7i | −0.349862 | − | 0.168485i | ||||
\(714\) | 9.22598e8 | − | 2.10577e8i | 2.53465 | − | 0.578517i | ||||
\(715\) | −8.12431e7 | + | 1.85432e7i | −0.222264 | + | 0.0507302i | ||||
\(716\) | −7.99795e7 | − | 6.37815e7i | −0.217891 | − | 0.173762i | ||||
\(717\) | −2.49067e8 | − | 5.17194e8i | −0.675709 | − | 1.40312i | ||||
\(718\) | 1.06428e8 | + | 2.42915e7i | 0.287530 | + | 0.0656268i | ||||
\(719\) | 1.06920e8 | − | 5.14900e7i | 0.287656 | − | 0.138528i | −0.284492 | − | 0.958678i | \(-0.591825\pi\) |
0.572147 | + | 0.820151i | \(0.306111\pi\) | |||||||
\(720\) | −2.00889e8 | + | 1.60204e8i | −0.538219 | + | 0.429215i | ||||
\(721\) | 3.92979e8 | − | 8.96949e7i | 1.04849 | − | 0.239311i | ||||
\(722\) | 1.99150e8 | − | 1.58817e8i | 0.529137 | − | 0.421973i | ||||
\(723\) | 3.83964e7 | − | 1.68226e8i | 0.101596 | − | 0.445120i | ||||
\(724\) | 2.76432e7 | 0.0728405 | ||||||||
\(725\) | − | 5.17065e8i | − | 1.35685i | ||||||
\(726\) | −9.32355e7 | + | 4.08491e8i | −0.243653 | + | 1.06751i | ||||
\(727\) | 4.36694e7 | + | 3.48252e7i | 0.113651 | + | 0.0906338i | 0.678666 | − | 0.734447i | \(-0.262558\pi\) |
−0.565015 | + | 0.825081i | \(0.691130\pi\) | |||||||
\(728\) | 7.82779e8 | + | 3.76966e8i | 2.02883 | + | 0.977031i | ||||
\(729\) | −2.73728e8 | + | 1.31821e8i | −0.706541 | + | 0.340252i | ||||
\(730\) | 2.86468e8i | 0.736388i | ||||||||
\(731\) | 2.59570e8 | − | 5.41987e8i | 0.664512 | − | 1.38751i | ||||
\(732\) | −1.62589e8 | −0.414531 | ||||||||
\(733\) | −7.78283e7 | − | 1.61612e8i | −0.197618 | − | 0.410357i | 0.778486 | − | 0.627662i | \(-0.215988\pi\) |
−0.976104 | + | 0.217304i | \(0.930274\pi\) | |||||||
\(734\) | 4.72557e7 | − | 9.81275e7i | 0.119500 | − | 0.248143i | ||||
\(735\) | −6.56449e8 | + | 8.23161e8i | −1.65325 | + | 2.07311i | ||||
\(736\) | −5.09464e8 | − | 1.16282e8i | −1.27785 | − | 0.291661i | ||||
\(737\) | 6.55418e6 | 0.0163725 | ||||||||
\(738\) | 8.86066e7i | 0.220443i | ||||||||
\(739\) | −6.08801e8 | − | 1.38955e8i | −1.50849 | − | 0.344303i | −0.613250 | − | 0.789889i | \(-0.710138\pi\) |
−0.895239 | + | 0.445586i | \(0.852995\pi\) | |||||||
\(740\) | −1.38631e8 | − | 1.73837e8i | −0.342109 | − | 0.428991i | ||||
\(741\) | 6.77553e7 | + | 2.96855e8i | 0.166528 | + | 0.729609i | ||||
\(742\) | −9.97670e7 | − | 1.25104e8i | −0.244217 | − | 0.306238i | ||||
\(743\) | 4.67108e7 | + | 9.69960e7i | 0.113881 | + | 0.236476i | 0.950117 | − | 0.311893i | \(-0.100963\pi\) |
−0.836236 | + | 0.548369i | \(0.815249\pi\) | |||||||
\(744\) | −2.70468e7 | + | 1.18500e8i | −0.0656745 | + | 0.287739i | ||||
\(745\) | −4.54667e8 | + | 2.18956e8i | −1.09958 | + | 0.529528i | ||||
\(746\) | −1.60545e8 | + | 2.01317e8i | −0.386705 | + | 0.484912i | ||||
\(747\) | −8.56463e7 | − | 3.75241e8i | −0.205469 | − | 0.900219i | ||||
\(748\) | 5.78109e6 | + | 2.53286e7i | 0.0138135 | + | 0.0605211i | ||||
\(749\) | 6.82396e7 | − | 1.41701e8i | 0.162402 | − | 0.337231i | ||||
\(750\) | 6.90826e7 | + | 5.50915e7i | 0.163751 | + | 0.130587i | ||||
\(751\) | 5.17093e8 | − | 4.12368e8i | 1.22081 | − | 0.973565i | 0.220814 | − | 0.975316i | \(-0.429129\pi\) |
0.999998 | + | 0.00175085i | \(0.000557313\pi\) | |||||||
\(752\) | −2.74505e8 | − | 1.32195e8i | −0.645501 | − | 0.310857i | ||||
\(753\) | 3.76176e8 | − | 7.81137e8i | 0.881061 | − | 1.82954i | ||||
\(754\) | 3.51464e8 | + | 4.40721e8i | 0.819910 | + | 1.02813i | ||||
\(755\) | −1.16010e8 | + | 1.45472e8i | −0.269559 | + | 0.338016i | ||||
\(756\) | 2.95474e7 | + | 1.42293e7i | 0.0683838 | + | 0.0329319i | ||||
\(757\) | −1.84927e8 | + | 4.22083e7i | −0.426297 | + | 0.0972994i | −0.430286 | − | 0.902693i | \(-0.641587\pi\) |
0.00398934 | + | 0.999992i | \(0.498730\pi\) | |||||||
\(758\) | −1.25466e8 | + | 2.86368e7i | −0.288083 | + | 0.0657532i | ||||
\(759\) | −1.06787e8 | − | 8.51598e7i | −0.244227 | − | 0.194764i | ||||
\(760\) | 1.20989e8 | + | 2.51236e8i | 0.275616 | + | 0.572323i | ||||
\(761\) | −8.44713e7 | − | 1.92800e7i | −0.191670 | − | 0.0437475i | 0.125608 | − | 0.992080i | \(-0.459912\pi\) |
−0.317278 | + | 0.948332i | \(0.602769\pi\) | |||||||
\(762\) | −4.65763e8 | + | 2.24300e8i | −1.05269 | + | 0.506949i | ||||
\(763\) | −1.02983e9 | + | 8.21261e8i | −2.31842 | + | 1.84888i | ||||
\(764\) | −2.80134e7 | + | 6.39388e6i | −0.0628183 | + | 0.0143379i | ||||
\(765\) | 7.04739e8 | − | 5.62011e8i | 1.57414 | − | 1.25534i | ||||
\(766\) | 4.86706e7 | − | 2.13240e8i | 0.108288 | − | 0.474440i | ||||
\(767\) | 6.74259e8 | 1.49431 | ||||||||
\(768\) | 5.66409e8i | 1.25039i | ||||||||
\(769\) | 6.14872e7 | − | 2.69393e8i | 0.135209 | − | 0.592389i | −0.861241 | − | 0.508197i | \(-0.830312\pi\) |
0.996450 | − | 0.0841917i | \(-0.0268308\pi\) | |||||||
\(770\) | 7.34953e7 | + | 5.86105e7i | 0.160986 | + | 0.128382i | ||||
\(771\) | −1.10599e8 | − | 5.32619e7i | −0.241318 | − | 0.116213i | ||||
\(772\) | 2.08842e8 | − | 1.00573e8i | 0.453905 | − | 0.218589i | ||||
\(773\) | − | 5.20031e8i | − | 1.12588i | −0.826499 | − | 0.562938i | \(-0.809671\pi\) | ||
0.826499 | − | 0.562938i | \(-0.190329\pi\) | |||||||
\(774\) | 3.01560e8 | − | 1.46025e8i | 0.650356 | − | 0.314923i | ||||
\(775\) | 1.03505e8 | 0.222360 | ||||||||
\(776\) | 8.43219e6 | + | 1.75096e7i | 0.0180449 | + | 0.0374707i | ||||
\(777\) | −4.57507e8 | + | 9.50022e8i | −0.975291 | + | 2.02521i | ||||
\(778\) | 2.87586e8 | − | 3.60621e8i | 0.610701 | − | 0.765795i | ||||
\(779\) | 5.62364e7 | + | 1.28356e7i | 0.118961 | + | 0.0271521i | ||||
\(780\) | 4.54623e8 | 0.958004 | ||||||||
\(781\) | − | 4.56291e6i | − | 0.00957831i | ||||||
\(782\) | −1.13971e9 | − | 2.60131e8i | −2.38327 | − | 0.543966i | ||||
\(783\) | 5.10765e7 | + | 6.40479e7i | 0.106399 | + | 0.133420i | ||||
\(784\) | −7.44183e7 | − | 3.26048e8i | −0.154430 | − | 0.676601i | ||||
\(785\) | 1.27001e8 | + | 1.59254e8i | 0.262541 | + | 0.329216i | ||||
\(786\) | −2.80846e8 | − | 5.83184e8i | −0.578364 | − | 1.20099i | ||||
\(787\) | 1.08855e8 | − | 4.76926e8i | 0.223319 | − | 0.978423i | −0.731642 | − | 0.681689i | \(-0.761246\pi\) |
0.954960 | − | 0.296733i | \(-0.0958972\pi\) | |||||||
\(788\) | −2.32189e8 | + | 1.11817e8i | −0.474530 | + | 0.228522i | ||||
\(789\) | −5.14249e8 | + | 6.44847e8i | −1.04699 | + | 1.31288i | ||||
\(790\) | 6.54113e7 | + | 2.86586e8i | 0.132670 | + | 0.581264i | ||||
\(791\) | 8.71205e7 | + | 3.81700e8i | 0.176032 | + | 0.771245i | ||||
\(792\) | −2.41969e7 | + | 5.02453e7i | −0.0487062 | + | 0.101139i | ||||
\(793\) | −4.54346e8 | − | 3.62329e8i | −0.911103 | − | 0.726580i | ||||
\(794\) | 3.60229e8 | − | 2.87273e8i | 0.719643 | − | 0.573896i | ||||
\(795\) | −2.90436e8 | − | 1.39867e8i | −0.578028 | − | 0.278364i | ||||
\(796\) | 4.55189e7 | − | 9.45209e7i | 0.0902511 | − | 0.187408i | ||||
\(797\) | −7.14033e7 | − | 8.95369e7i | −0.141040 | − | 0.176859i | 0.706294 | − | 0.707918i | \(-0.250366\pi\) |
−0.847335 | + | 0.531059i | \(0.821794\pi\) | |||||||
\(798\) | 2.14158e8 | − | 2.68545e8i | 0.421430 | − | 0.528456i | ||||
\(799\) | 9.62990e8 | + | 4.63752e8i | 1.88791 | + | 0.909170i | ||||
\(800\) | 3.74644e8 | − | 8.55101e7i | 0.731727 | − | 0.167012i | ||||
\(801\) | 8.86222e7 | − | 2.02274e7i | 0.172443 | − | 0.0393589i | ||||
\(802\) | −5.60020e7 | − | 4.46601e7i | −0.108563 | − | 0.0865758i | ||||
\(803\) | 1.61823e7 | + | 3.36030e7i | 0.0312532 | + | 0.0648980i | ||||
\(804\) | −3.48601e7 | − | 7.95659e6i | −0.0670749 | − | 0.0153094i | ||||
\(805\) | 2.05999e9 | − | 9.92040e8i | 3.94892 | − | 1.90170i | ||||
\(806\) | −8.82227e7 | + | 7.03553e7i | −0.168490 | + | 0.134367i | ||||
\(807\) | 1.32511e9 | − | 3.02448e8i | 2.52134 | − | 0.575480i | ||||
\(808\) | 2.29781e8 | − | 1.83244e8i | 0.435592 | − | 0.347373i | ||||
\(809\) | −1.48706e8 | + | 6.51525e8i | −0.280856 | + | 1.23051i | 0.615842 | + | 0.787870i | \(0.288816\pi\) |
−0.896698 | + | 0.442642i | \(0.854041\pi\) | |||||||
\(810\) | −6.82592e8 | −1.28442 | ||||||||
\(811\) | − | 6.43331e8i | − | 1.20607i | −0.797715 | − | 0.603034i | \(-0.793958\pi\) | ||
0.797715 | − | 0.603034i | \(-0.206042\pi\) | |||||||
\(812\) | −7.64860e7 | + | 3.35107e8i | −0.142861 | + | 0.625915i | ||||
\(813\) | −3.74811e8 | − | 2.98902e8i | −0.697495 | − | 0.556234i | ||||
\(814\) | 4.82509e7 | + | 2.32364e7i | 0.0894606 | + | 0.0430820i | ||||
\(815\) | 3.63029e7 | − | 1.74826e7i | 0.0670608 | − | 0.0322948i | ||||
\(816\) | 6.05564e8i | 1.11452i | ||||||||
\(817\) | −4.89942e7 | − | 2.12546e8i | −0.0898419 | − | 0.389750i | ||||
\(818\) | 5.69772e8 | 1.04098 | ||||||||
\(819\) | −4.42293e8 | − | 9.18432e8i | −0.805116 | − | 1.67184i | ||||
\(820\) | 3.73678e7 | − | 7.75950e7i | 0.0677728 | − | 0.140732i | ||||
\(821\) | 6.17788e8 | − | 7.74682e8i | 1.11637 | − | 1.39989i | 0.209852 | − | 0.977733i | \(-0.432702\pi\) |
0.906523 | − | 0.422157i | \(-0.138727\pi\) | |||||||
\(822\) | −8.42516e8 | − | 1.92299e8i | −1.51692 | − | 0.346227i | ||||
\(823\) | −3.05536e8 | −0.548105 | −0.274052 | − | 0.961715i | \(-0.588364\pi\) | ||||
−0.274052 | + | 0.961715i | \(0.588364\pi\) | |||||||
\(824\) | 4.29998e8i | 0.768573i | ||||||||
\(825\) | 9.79227e7 | + | 2.23502e7i | 0.174390 | + | 0.0398034i | ||||
\(826\) | −4.74230e8 | − | 5.94665e8i | −0.841489 | − | 1.05519i | ||||
\(827\) | 5.53320e7 | + | 2.42425e8i | 0.0978272 | + | 0.428609i | 0.999996 | − | 0.00277389i | \(-0.000882957\pi\) |
−0.902169 | + | 0.431383i | \(0.858026\pi\) | |||||||
\(828\) | 2.19667e8 | + | 2.75453e8i | 0.386966 | + | 0.485240i | ||||
\(829\) | 2.21295e7 | + | 4.59524e7i | 0.0388426 | + | 0.0806574i | 0.919487 | − | 0.393120i | \(-0.128604\pi\) |
−0.880645 | + | 0.473778i | \(0.842890\pi\) | |||||||
\(830\) | 1.54006e8 | − | 6.74746e8i | 0.269342 | − | 1.18006i | ||||
\(831\) | 2.11399e8 | − | 1.01804e8i | 0.368383 | − | 0.177404i | ||||
\(832\) | −5.17809e8 | + | 6.49311e8i | −0.899082 | + | 1.12741i | ||||
\(833\) | 2.61067e8 | + | 1.14381e9i | 0.451665 | + | 1.97887i | ||||
\(834\) | 1.69941e8 | + | 7.44559e8i | 0.292954 | + | 1.28352i | ||||
\(835\) | −5.64732e8 | + | 1.17268e9i | −0.970025 | + | 2.01428i | ||||
\(836\) | 7.37253e6 | + | 5.87940e6i | 0.0126182 | + | 0.0100627i | ||||
\(837\) | −1.28210e7 | + | 1.02244e7i | −0.0218648 | + | 0.0174366i | ||||
\(838\) | 3.65151e8 | + | 1.75848e8i | 0.620499 | + | 0.298816i | ||||
\(839\) | 3.28350e8 | − | 6.81827e8i | 0.555970 | − | 1.15448i | −0.413778 | − | 0.910378i | \(-0.635791\pi\) |
0.969748 | − | 0.244107i | \(-0.0784947\pi\) | |||||||
\(840\) | −1.23105e9 | − | 1.54368e9i | −2.07700 | − | 2.60447i | ||||
\(841\) | −1.64465e8 | + | 2.06233e8i | −0.276495 | + | 0.346713i | ||||
\(842\) | 1.32237e8 | + | 6.36820e7i | 0.221522 | + | 0.106679i | ||||
\(843\) | −3.60555e7 | + | 8.22942e6i | −0.0601850 | + | 0.0137368i | ||||
\(844\) | −4.77228e6 | + | 1.08924e6i | −0.00793777 | + | 0.00181174i | ||||
\(845\) | 5.82075e8 | + | 4.64190e8i | 0.964737 | + | 0.769352i | ||||
\(846\) | 2.58566e8 | + | 5.36918e8i | 0.427032 | + | 0.886741i | ||||
\(847\) | −8.90279e8 | − | 2.03200e8i | −1.46513 | − | 0.334406i | ||||
\(848\) | 9.22544e7 | − | 4.44274e7i | 0.151286 | − | 0.0728556i | ||||
\(849\) | −1.21185e9 | + | 9.66420e8i | −1.98028 | + | 1.57922i | ||||
\(850\) | 8.38106e8 | − | 1.91292e8i | 1.36472 | − | 0.311488i | ||||
\(851\) | 1.01840e9 | − | 8.12146e8i | 1.65245 | − | 1.31779i | ||||
\(852\) | −5.53924e6 | + | 2.42690e7i | −0.00895636 | + | 0.0392404i | ||||
\(853\) | 6.29178e8 | 1.01374 | 0.506870 | − | 0.862022i | \(-0.330802\pi\) | ||||
0.506870 | + | 0.862022i | \(0.330802\pi\) | |||||||
\(854\) | 6.55551e8i | 1.05253i | ||||||||
\(855\) | 7.28032e7 | − | 3.18972e8i | 0.116480 | − | 0.510333i | ||||
\(856\) | 1.31174e8 | + | 1.04607e8i | 0.209134 | + | 0.166779i | ||||
\(857\) | −7.93564e8 | − | 3.82160e8i | −1.26078 | − | 0.607160i | −0.320399 | − | 0.947283i | \(-0.603817\pi\) |
−0.940381 | + | 0.340123i | \(0.889531\pi\) | |||||||
\(858\) | −9.86566e7 | + | 4.75105e7i | −0.156194 | + | 0.0752191i | ||||
\(859\) | 2.03267e8i | 0.320691i | 0.987061 | + | 0.160346i | \(0.0512608\pi\) | ||||
−0.987061 | + | 0.160346i | \(0.948739\pi\) | |||||||
\(860\) | −3.25666e8 | + | 701727.i | −0.512009 | + | 0.00110325i | ||||
\(861\) | −4.08430e8 | −0.639894 | ||||||||
\(862\) | 1.95514e8 | + | 4.05988e8i | 0.305250 | + | 0.633858i | ||||
\(863\) | −5.20267e8 | + | 1.08035e9i | −0.809457 | + | 1.68086i | −0.0800352 | + | 0.996792i | \(0.525503\pi\) |
−0.729422 | + | 0.684064i | \(0.760211\pi\) | |||||||
\(864\) | −3.79597e7 | + | 4.75999e7i | −0.0588547 | + | 0.0738014i | ||||
\(865\) | 7.79931e8 | + | 1.78014e8i | 1.20506 | + | 0.275047i | ||||
\(866\) | 8.52381e8 | 1.31244 | ||||||||
\(867\) | − | 1.22679e9i | − | 1.88241i | ||||||
\(868\) | −6.70810e7 | − | 1.53108e7i | −0.102575 | − | 0.0234120i | ||||
\(869\) | 2.38619e7 | + | 2.99218e7i | 0.0363618 | + | 0.0455962i | ||||
\(870\) | −2.85061e8 | − | 1.24893e9i | −0.432892 | − | 1.89662i | ||||
\(871\) | −7.96836e7 | − | 9.99200e7i | −0.120591 | − | 0.151216i | ||||
\(872\) | −6.09670e8 | − | 1.26599e9i | −0.919487 | − | 1.90933i | ||||
\(873\) | 5.07394e6 | − | 2.22304e7i | 0.00762610 | − | 0.0334121i | ||||
\(874\) | −3.82292e8 | + | 1.84102e8i | −0.572613 | + | 0.275756i | ||||
\(875\) | −1.20068e8 | + | 1.50561e8i | −0.179227 | + | 0.224744i | ||||
\(876\) | −4.52769e7 | − | 1.98371e8i | −0.0673541 | − | 0.295098i | ||||
\(877\) | 5.39243e7 | + | 2.36258e8i | 0.0799439 | + | 0.350257i | 0.999042 | − | 0.0437727i | \(-0.0139377\pi\) |
−0.919098 | + | 0.394030i | \(0.871081\pi\) | |||||||
\(878\) | −3.56225e8 | + | 7.39709e8i | −0.526309 | + | 1.09289i | ||||
\(879\) | 5.57755e8 | + | 4.44795e8i | 0.821253 | + | 0.654927i | ||||
\(880\) | −4.70305e7 | + | 3.75055e7i | −0.0690130 | + | 0.0550361i | ||||
\(881\) | −3.61637e8 | − | 1.74155e8i | −0.528866 | − | 0.254688i | 0.150342 | − | 0.988634i | \(-0.451962\pi\) |
−0.679208 | + | 0.733946i | \(0.737677\pi\) | |||||||
\(882\) | −2.83818e8 | + | 5.89354e8i | −0.413651 | + | 0.858955i | ||||
\(883\) | −3.46066e8 | − | 4.33953e8i | −0.502663 | − | 0.630320i | 0.464164 | − | 0.885749i | \(-0.346355\pi\) |
−0.966828 | + | 0.255429i | \(0.917783\pi\) | |||||||
\(884\) | 3.15856e8 | − | 3.96071e8i | 0.457228 | − | 0.573345i | ||||
\(885\) | −1.38055e9 | − | 6.64838e8i | −1.99169 | − | 0.959149i | ||||
\(886\) | 2.00329e8 | − | 4.57238e7i | 0.288033 | − | 0.0657418i | ||||
\(887\) | −1.27098e6 | + | 290093.i | −0.00182124 | + | 0.000415687i | −0.223431 | − | 0.974720i | \(-0.571726\pi\) |
0.221610 | + | 0.975135i | \(0.428869\pi\) | |||||||
\(888\) | −8.79442e8 | − | 7.01331e8i | −1.25594 | − | 1.00158i | ||||
\(889\) | −4.88846e8 | − | 1.01510e9i | −0.695772 | − | 1.44479i | ||||
\(890\) | 1.59357e8 | + | 3.63723e7i | 0.226049 | + | 0.0515942i | ||||
\(891\) | −8.00689e7 | + | 3.85591e7i | −0.113196 | + | 0.0545123i | ||||
\(892\) | 4.93589e6 | − | 3.93624e6i | 0.00695458 | − | 0.00554609i | ||||
\(893\) | 3.78224e8 | − | 8.63272e7i | 0.531123 | − | 0.121225i | ||||
\(894\) | −5.18442e8 | + | 4.13443e8i | −0.725583 | + | 0.578633i | ||||
\(895\) | −1.84899e8 | + | 8.10097e8i | −0.257909 | + | 1.12997i | ||||
\(896\) | 2.08811e8 | 0.290288 | ||||||||
\(897\) | 2.66334e9i | 3.69019i | ||||||||
\(898\) | 6.78976e7 | − | 2.97479e8i | 0.0937617 | − | 0.410797i | ||||
\(899\) | −1.34376e8 | − | 1.07162e8i | −0.184946 | − | 0.147489i | ||||
\(900\) | −2.33426e8 | − | 1.12412e8i | −0.320201 | − | 0.154201i | ||||
\(901\) | −3.23638e8 | + | 1.55856e8i | −0.442471 | + | 0.213083i | ||||
\(902\) | 2.07438e7i | 0.0282663i | ||||||||
\(903\) | 6.73098e8 | + | 1.39003e9i | 0.914145 | + | 1.88783i | ||||
\(904\) | −4.17656e8 | −0.565345 | ||||||||
\(905\) | −9.74229e7 | − | 2.02301e8i | −0.131436 | − | 0.272930i | ||||
\(906\) | −1.06082e8 | + | 2.20281e8i | −0.142645 | + | 0.296206i | ||||
\(907\) | −2.65691e8 | + | 3.33166e8i | −0.356086 | + | 0.446518i | −0.927320 | − | 0.374269i | \(-0.877894\pi\) |
0.571234 | + | 0.820787i | \(0.306465\pi\) | |||||||
\(908\) | 3.15642e8 | + | 7.20432e7i | 0.421635 | + | 0.0962355i | ||||
\(909\) | −3.44833e8 | −0.459110 | ||||||||
\(910\) | − | 1.83302e9i | − | 2.43244i | ||||||
\(911\) | 3.08801e8 | + | 7.04817e7i | 0.408435 | + | 0.0932226i | 0.421802 | − | 0.906688i | \(-0.361398\pi\) |
−0.0133669 | + | 0.999911i | \(0.504255\pi\) | |||||||
\(912\) | 1.37042e8 | + | 1.71845e8i | 0.180663 | + | 0.226544i | ||||
\(913\) | −2.00508e7 | − | 8.78482e7i | −0.0263462 | − | 0.115430i | ||||
\(914\) | 4.29733e8 | + | 5.38869e8i | 0.562808 | + | 0.705739i | ||||
\(915\) | 5.73011e8 | + | 1.18987e9i | 0.747996 | + | 1.55323i | ||||
\(916\) | −4.28334e7 | + | 1.87666e8i | −0.0557310 | + | 0.244173i | ||||
\(917\) | 1.27101e9 | − | 6.12086e8i | 1.64832 | − | 0.793787i | ||||
\(918\) | −8.49185e7 | + | 1.06484e8i | −0.109768 | + | 0.137644i | ||||
\(919\) | 2.69693e8 | + | 1.18160e9i | 0.347475 | + | 1.52239i | 0.782893 | + | 0.622157i | \(0.213743\pi\) |
−0.435418 | + | 0.900228i | \(0.643399\pi\) | |||||||
\(920\) | 5.42746e8 | + | 2.37793e9i | 0.697000 | + | 3.05376i | ||||
\(921\) | 4.57513e8 | − | 9.50037e8i | 0.585632 | − | 1.21608i | ||||
\(922\) | 3.44728e8 | + | 2.74912e8i | 0.439829 | + | 0.350752i | ||||
\(923\) | −6.95626e7 | + | 5.54743e7i | −0.0884649 | + | 0.0705484i | ||||
\(924\) | −6.01570e7 | − | 2.89701e7i | −0.0762553 | − | 0.0367226i | ||||
\(925\) | −4.15608e8 | + | 8.63019e8i | −0.525120 | + | 1.09042i | ||||
\(926\) | −3.40034e8 | − | 4.26389e8i | −0.428242 | − | 0.536998i | ||||
\(927\) | 3.14560e8 | − | 3.94446e8i | 0.394880 | − | 0.495163i | ||||
\(928\) | −5.74916e8 | − | 2.76865e8i | −0.719384 | − | 0.346437i | ||||
\(929\) | −1.06416e9 | + | 2.42887e8i | −1.32727 | + | 0.302941i | −0.826645 | − | 0.562723i | \(-0.809754\pi\) |
−0.500625 | + | 0.865664i | \(0.666897\pi\) | |||||||
\(930\) | 2.50009e8 | − | 5.70629e7i | 0.310818 | − | 0.0709422i | ||||
\(931\) | 3.32934e8 | + | 2.65506e8i | 0.412581 | + | 0.329022i | ||||
\(932\) | 8.33983e7 | + | 1.73178e8i | 0.103017 | + | 0.213917i | ||||
\(933\) | 1.28959e9 | + | 2.94341e8i | 1.58784 | + | 0.362415i | ||||
\(934\) | −8.55749e8 | + | 4.12107e8i | −1.05028 | + | 0.505789i | ||||
\(935\) | 1.64988e8 | − | 1.31573e8i | 0.201844 | − | 0.160965i | ||||
\(936\) | 1.06018e9 | − | 2.41979e8i | 1.29286 | − | 0.295087i | ||||
\(937\) | −4.15666e8 | + | 3.31482e8i | −0.505272 | + | 0.402941i | −0.842678 | − | 0.538418i | \(-0.819022\pi\) |
0.337406 | + | 0.941359i | \(0.390451\pi\) | |||||||
\(938\) | −3.20806e7 | + | 1.40554e8i | −0.0388717 | + | 0.170308i | ||||
\(939\) | 3.19457e8 | 0.385848 | ||||||||
\(940\) | − | 5.79236e8i | − | 0.697384i | ||||||
\(941\) | −1.93668e7 | + | 8.48516e7i | −0.0232429 | + | 0.101834i | −0.985219 | − | 0.171300i | \(-0.945203\pi\) |
0.961976 | + | 0.273134i | \(0.0880603\pi\) | |||||||
\(942\) | 2.09263e8 | + | 1.66882e8i | 0.250346 | + | 0.199644i | ||||
\(943\) | 4.54578e8 | + | 2.18913e8i | 0.542092 | + | 0.261058i | ||||
\(944\) | 4.38519e8 | − | 2.11180e8i | 0.521282 | − | 0.251036i | ||||
\(945\) | − | 2.66384e8i | − | 0.315655i | ||||||
\(946\) | 7.05987e7 | − | 3.41861e7i | 0.0833918 | − | 0.0403809i | ||||
\(947\) | 1.38631e9 | 1.63234 | 0.816168 | − | 0.577815i | \(-0.196094\pi\) | ||||
0.816168 | + | 0.577815i | \(0.196094\pi\) | |||||||
\(948\) | −9.05911e7 | − | 1.88114e8i | −0.106331 | − | 0.220799i | ||||
\(949\) | 3.15546e8 | − | 6.55237e8i | 0.369202 | − | 0.766655i | ||||
\(950\) | 1.94545e8 | − | 2.43952e8i | 0.226908 | − | 0.284534i | ||||
\(951\) | 5.98667e8 | + | 1.36642e8i | 0.696056 | + | 0.158870i | ||||
\(952\) | −2.20016e9 | −2.55001 | ||||||||
\(953\) | 6.07906e7i | 0.0702357i | 0.999383 | + | 0.0351179i | \(0.0111807\pi\) | ||||
−0.999383 | + | 0.0351179i | \(0.988819\pi\) | |||||||
\(954\) | −1.95257e8 | − | 4.45662e7i | −0.224886 | − | 0.0513288i | ||||
\(955\) | 1.45520e8 | + | 1.82476e8i | 0.167075 | + | 0.209506i | ||||
\(956\) | 7.71377e7 | + | 3.37962e8i | 0.0882862 | + | 0.386807i | ||||
\(957\) | −1.03989e8 | − | 1.30398e8i | −0.118646 | − | 0.148777i | ||||
\(958\) | 2.73089e8 | + | 5.67076e8i | 0.310605 | + | 0.644978i | ||||
\(959\) | 4.19102e8 | − | 1.83621e9i | 0.475187 | − | 2.08193i | ||||
\(960\) | 1.70046e9 | − | 8.18896e8i | 1.92199 | − | 0.925582i | ||||
\(961\) | −5.31898e8 | + | 6.66979e8i | −0.599319 | + | 0.751523i | ||||
\(962\) | −2.32374e8 | − | 1.01810e9i | −0.261013 | − | 1.14357i | ||||
\(963\) | −4.38038e7 | − | 1.91917e8i | −0.0490493 | − | 0.214899i | ||||
\(964\) | −4.52111e7 | + | 9.38818e7i | −0.0504677 | + | 0.104797i | ||||
\(965\) | −1.47204e9 | − | 1.17391e9i | −1.63809 | − | 1.30633i | ||||
\(966\) | 2.34894e9 | − | 1.87322e9i | 2.60579 | − | 2.07805i | ||||
\(967\) | −9.68086e8 | − | 4.66206e8i | −1.07062 | − | 0.515582i | −0.186312 | − | 0.982491i | \(-0.559654\pi\) |
−0.884306 | + | 0.466908i | \(0.845368\pi\) | |||||||
\(968\) | 4.22665e8 | − | 8.77674e8i | 0.465984 | − | 0.967625i | ||||
\(969\) | −4.80757e8 | − | 6.02850e8i | −0.528390 | − | 0.662580i | ||||
\(970\) | 2.55643e7 | − | 3.20566e7i | 0.0280104 | − | 0.0351239i | ||||
\(971\) | 3.02728e8 | + | 1.45786e8i | 0.330670 | + | 0.159242i | 0.591851 | − | 0.806048i | \(-0.298398\pi\) |
−0.261181 | + | 0.965290i | \(0.584112\pi\) | |||||||
\(972\) | 4.28056e8 | − | 9.77011e7i | 0.466125 | − | 0.106390i | ||||
\(973\) | −1.62272e9 | + | 3.70374e8i | −1.76159 | + | 0.402071i | ||||
\(974\) | 5.54934e8 | + | 4.42545e8i | 0.600571 | + | 0.478940i | ||||
\(975\) | −8.49777e8 | − | 1.76458e9i | −0.916835 | − | 1.90383i | ||||
\(976\) | −4.08977e8 | − | 9.33463e7i | −0.439895 | − | 0.100403i | ||||
\(977\) | −1.32299e9 | + | 6.37119e8i | −1.41864 | + | 0.683183i | −0.976848 | − | 0.213933i | \(-0.931373\pi\) |
−0.441796 | + | 0.897116i | \(0.645658\pi\) | |||||||
\(978\) | 4.13949e7 | − | 3.30114e7i | 0.0442518 | − | 0.0352896i | ||||
\(979\) | 2.07475e7 | − | 4.73547e6i | 0.0221114 | − | 0.00504679i | ||||
\(980\) | 4.97092e8 | − | 3.96418e8i | 0.528152 | − | 0.421187i | ||||
\(981\) | −3.66860e8 | + | 1.60732e9i | −0.388592 | + | 1.70253i | ||||
\(982\) | 1.80101e8 | 0.190187 | ||||||||
\(983\) | 1.58220e9i | 1.66572i | 0.553484 | + | 0.832860i | \(0.313298\pi\) | ||||
−0.553484 | + | 0.832860i | \(0.686702\pi\) | |||||||
\(984\) | 9.69523e7 | − | 4.24776e8i | 0.101759 | − | 0.445836i | ||||
\(985\) | 1.63661e9 | + | 1.30515e9i | 1.71252 | + | 1.36569i | ||||
\(986\) | −1.28613e9 | − | 6.19367e8i | −1.34170 | − | 0.646127i | ||||
\(987\) | −2.47491e9 | + | 1.19185e9i | −2.57400 | + | 1.23957i | ||||
\(988\) | − | 1.83876e8i | − | 0.190657i | ||||||
\(989\) | −4.11095e6 | − | 1.90786e9i | −0.00424966 | − | 1.97223i | ||||
\(990\) | 1.17659e8 | 0.121260 | ||||||||
\(991\) | −7.02427e8 | − | 1.45860e9i | −0.721739 | − | 1.49871i | −0.861084 | − | 0.508463i | \(-0.830214\pi\) |
0.139345 | − | 0.990244i | \(-0.455500\pi\) | |||||||
\(992\) | 5.54223e7 | − | 1.15086e8i | 0.0567740 | − | 0.117892i | ||||
\(993\) | −3.49545e8 | + | 4.38315e8i | −0.356989 | + | 0.447650i | ||||
\(994\) | 9.78516e7 | + | 2.23340e7i | 0.0996342 | + | 0.0227409i | ||||
\(995\) | −8.52152e8 | −0.865063 | ||||||||
\(996\) | 4.91584e8i | 0.497530i | ||||||||
\(997\) | 1.81642e9 | + | 4.14586e8i | 1.83287 | + | 0.418340i | 0.992351 | − | 0.123445i | \(-0.0393942\pi\) |
0.840517 | + | 0.541785i | \(0.182251\pi\) | |||||||
\(998\) | 5.86654e8 | + | 7.35641e8i | 0.590188 | + | 0.740072i | ||||
\(999\) | −3.37698e7 | − | 1.47955e8i | −0.0338713 | − | 0.148400i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.7.f.a.2.15 | ✓ | 126 | |
43.22 | odd | 14 | inner | 43.7.f.a.22.15 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.15 | ✓ | 126 | 1.1 | even | 1 | trivial | |
43.7.f.a.22.15 | yes | 126 | 43.22 | odd | 14 | inner |