Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.19 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.8.e.a.7.19 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 17.6042 | + | 6.40739i | 1.55600 | + | 0.566339i | 0.969816 | − | 0.243837i | \(-0.0784061\pi\) |
0.586187 | + | 0.810176i | \(0.300628\pi\) | |||||||
\(3\) | −7.16273 | + | 46.2136i | −0.153163 | + | 0.988201i | ||||
\(4\) | 170.798 | + | 143.317i | 1.33436 | + | 1.11966i | ||||
\(5\) | −14.0863 | + | 79.8875i | −0.0503968 | + | 0.285814i | −0.999582 | − | 0.0289030i | \(-0.990799\pi\) |
0.949185 | + | 0.314717i | \(0.101910\pi\) | |||||||
\(6\) | −422.203 | + | 767.657i | −0.797979 | + | 1.45090i | ||||
\(7\) | 245.838 | − | 206.282i | 0.270898 | − | 0.227310i | −0.497211 | − | 0.867630i | \(-0.665643\pi\) |
0.768109 | + | 0.640320i | \(0.221198\pi\) | |||||||
\(8\) | 889.502 | + | 1540.66i | 0.614231 | + | 1.06388i | ||||
\(9\) | −2084.39 | − | 662.031i | −0.953082 | − | 0.302712i | ||||
\(10\) | −759.849 | + | 1316.10i | −0.240285 | + | 0.416186i | ||||
\(11\) | 695.757 | + | 3945.83i | 0.157610 | + | 0.893849i | 0.956361 | + | 0.292188i | \(0.0943833\pi\) |
−0.798751 | + | 0.601662i | \(0.794506\pi\) | |||||||
\(12\) | −7846.57 | + | 6866.66i | −1.31083 | + | 1.14713i | ||||
\(13\) | 3689.99 | − | 1343.05i | 0.465825 | − | 0.169547i | −0.0984349 | − | 0.995143i | \(-0.531384\pi\) |
0.564260 | + | 0.825597i | \(0.309161\pi\) | |||||||
\(14\) | 5649.50 | − | 2056.25i | 0.550252 | − | 0.200275i | ||||
\(15\) | −3590.99 | − | 1223.19i | −0.274723 | − | 0.0935784i | ||||
\(16\) | 831.554 | + | 4715.98i | 0.0507541 | + | 0.287841i | ||||
\(17\) | 16679.4 | − | 28889.6i | 0.823397 | − | 1.42616i | −0.0797419 | − | 0.996816i | \(-0.525410\pi\) |
0.903139 | − | 0.429349i | \(-0.141257\pi\) | |||||||
\(18\) | −32452.1 | − | 25010.0i | −1.31156 | − | 1.01079i | ||||
\(19\) | 22676.0 | + | 39275.9i | 0.758453 | + | 1.31368i | 0.943639 | + | 0.330975i | \(0.107378\pi\) |
−0.185187 | + | 0.982703i | \(0.559289\pi\) | |||||||
\(20\) | −13855.2 | + | 11625.9i | −0.387263 | + | 0.324952i | ||||
\(21\) | 7772.17 | + | 12838.6i | 0.183136 | + | 0.302517i | ||||
\(22\) | −13034.3 | + | 73921.1i | −0.260980 | + | 1.48009i | ||||
\(23\) | −28585.9 | − | 23986.4i | −0.489897 | − | 0.411072i | 0.364093 | − | 0.931363i | \(-0.381379\pi\) |
−0.853989 | + | 0.520291i | \(0.825824\pi\) | |||||||
\(24\) | −77570.8 | + | 30071.7i | −1.14540 | + | 0.444037i | ||||
\(25\) | 67229.9 | + | 24469.7i | 0.860543 | + | 0.313212i | ||||
\(26\) | 73564.6 | 0.820847 | ||||||||
\(27\) | 45524.7 | − | 91585.2i | 0.445117 | − | 0.895472i | ||||
\(28\) | 71552.3 | 0.615986 | ||||||||
\(29\) | 41425.0 | + | 15077.4i | 0.315405 | + | 0.114798i | 0.494872 | − | 0.868966i | \(-0.335215\pi\) |
−0.179467 | + | 0.983764i | \(0.557437\pi\) | |||||||
\(30\) | −55379.0 | − | 44542.2i | −0.374473 | − | 0.301195i | ||||
\(31\) | −181152. | − | 152004.i | −1.09214 | − | 0.916411i | −0.0952644 | − | 0.995452i | \(-0.530370\pi\) |
−0.996871 | + | 0.0790413i | \(0.974814\pi\) | |||||||
\(32\) | 23963.5 | − | 135904.i | 0.129278 | − | 0.733175i | ||||
\(33\) | −187335. | + | 3890.48i | −0.907443 | + | 0.0188453i | ||||
\(34\) | 478734. | − | 401705.i | 2.08890 | − | 1.75280i | ||||
\(35\) | 13016.4 | + | 22545.1i | 0.0513161 | + | 0.0888821i | ||||
\(36\) | −261130. | − | 411802.i | −0.932821 | − | 1.47106i | ||||
\(37\) | 162257. | − | 281038.i | 0.526621 | − | 0.912135i | −0.472897 | − | 0.881117i | \(-0.656792\pi\) |
0.999519 | − | 0.0310175i | \(-0.00987477\pi\) | |||||||
\(38\) | 147535. | + | 836714.i | 0.436168 | + | 2.47363i | ||||
\(39\) | 35636.6 | + | 180147.i | 0.0961988 | + | 0.486297i | ||||
\(40\) | −135610. | + | 49357.8i | −0.335027 | + | 0.121940i | ||||
\(41\) | −85992.6 | + | 31298.7i | −0.194858 | + | 0.0709224i | −0.437606 | − | 0.899167i | \(-0.644173\pi\) |
0.242748 | + | 0.970089i | \(0.421951\pi\) | |||||||
\(42\) | 54560.8 | + | 275812.i | 0.113634 | + | 0.574434i | ||||
\(43\) | −50011.7 | − | 283630.i | −0.0959250 | − | 0.544018i | −0.994460 | − | 0.105116i | \(-0.966479\pi\) |
0.898535 | − | 0.438902i | \(-0.144632\pi\) | |||||||
\(44\) | −446670. | + | 773656.i | −0.790501 | + | 1.36919i | ||||
\(45\) | 82249.4 | − | 157191.i | 0.134552 | − | 0.257149i | ||||
\(46\) | −349541. | − | 605422.i | −0.529475 | − | 0.917077i | ||||
\(47\) | −831447. | + | 697667.i | −1.16813 | + | 0.980179i | −0.999984 | − | 0.00558270i | \(-0.998223\pi\) |
−0.168148 | + | 0.985762i | \(0.553779\pi\) | |||||||
\(48\) | −223899. | + | 4649.82i | −0.292218 | + | 0.00606864i | ||||
\(49\) | −125123. | + | 709608.i | −0.151933 | + | 0.861652i | ||||
\(50\) | 1.02674e6 | + | 861537.i | 1.16162 | + | 0.974717i | ||||
\(51\) | 1.21562e6 | + | 977743.i | 1.28322 | + | 1.03212i | ||||
\(52\) | 822725. | + | 299447.i | 0.811415 | + | 0.295331i | ||||
\(53\) | −1.18896e6 | −1.09699 | −0.548495 | − | 0.836154i | \(-0.684799\pi\) | ||||
−0.548495 | + | 0.836154i | \(0.684799\pi\) | |||||||
\(54\) | 1.38825e6 | − | 1.32059e6i | 1.19974 | − | 1.14127i | ||||
\(55\) | −325024. | −0.263418 | ||||||||
\(56\) | 536484. | + | 195264.i | 0.408224 | + | 0.148581i | ||||
\(57\) | −1.97750e6 | + | 766615.i | −1.41435 | + | 0.548296i | ||||
\(58\) | 632645. | + | 530852.i | 0.425757 | + | 0.357253i | ||||
\(59\) | 26424.9 | − | 149863.i | 0.0167506 | − | 0.0949974i | −0.975286 | − | 0.220945i | \(-0.929086\pi\) |
0.992037 | + | 0.125947i | \(0.0401970\pi\) | |||||||
\(60\) | −438032. | − | 723569.i | −0.261804 | − | 0.432465i | ||||
\(61\) | −301592. | + | 253066.i | −0.170124 | + | 0.142751i | −0.723875 | − | 0.689932i | \(-0.757641\pi\) |
0.553750 | + | 0.832683i | \(0.313196\pi\) | |||||||
\(62\) | −2.21507e6 | − | 3.83662e6i | −1.18037 | − | 2.04446i | ||||
\(63\) | −648987. | + | 267221.i | −0.326997 | + | 0.134641i | ||||
\(64\) | 1.59913e6 | − | 2.76977e6i | 0.762523 | − | 1.32073i | ||||
\(65\) | 55314.2 | + | 313703.i | 0.0249827 | + | 0.141684i | ||||
\(66\) | −3.32280e6 | − | 1.13184e6i | −1.42266 | − | 0.484597i | ||||
\(67\) | 287638. | − | 104692.i | 0.116838 | − | 0.0425255i | −0.282940 | − | 0.959138i | \(-0.591310\pi\) |
0.399778 | + | 0.916612i | \(0.369087\pi\) | |||||||
\(68\) | 6.98917e6 | − | 2.54385e6i | 2.69553 | − | 0.981094i | ||||
\(69\) | 1.31325e6 | − | 1.14925e6i | 0.481256 | − | 0.421155i | ||||
\(70\) | 84688.0 | + | 480289.i | 0.0295106 | + | 0.167363i | ||||
\(71\) | −2.52803e6 | + | 4.37868e6i | −0.838259 | + | 1.45191i | 0.0530894 | + | 0.998590i | \(0.483093\pi\) |
−0.891349 | + | 0.453318i | \(0.850240\pi\) | |||||||
\(72\) | −834103. | − | 3.80022e6i | −0.263364 | − | 1.19990i | ||||
\(73\) | −2.37317e6 | − | 4.11045e6i | −0.714001 | − | 1.23669i | −0.963344 | − | 0.268271i | \(-0.913548\pi\) |
0.249343 | − | 0.968415i | \(-0.419785\pi\) | |||||||
\(74\) | 4.65713e6 | − | 3.90779e6i | 1.33600 | − | 1.12104i | ||||
\(75\) | −1.61238e6 | + | 2.93166e6i | −0.441320 | + | 0.802416i | ||||
\(76\) | −1.75588e6 | + | 9.95812e6i | −0.458826 | + | 2.60213i | ||||
\(77\) | 984998. | + | 826512.i | 0.245877 | + | 0.206315i | ||||
\(78\) | −526923. | + | 3.39968e6i | −0.125723 | + | 0.811162i | ||||
\(79\) | 5.52321e6 | + | 2.01028e6i | 1.26037 | + | 0.458736i | 0.883892 | − | 0.467691i | \(-0.154914\pi\) |
0.376474 | + | 0.926427i | \(0.377136\pi\) | |||||||
\(80\) | −388462. | −0.0848268 | ||||||||
\(81\) | 3.90640e6 | + | 2.75986e6i | 0.816731 | + | 0.577019i | ||||
\(82\) | −1.71437e6 | −0.343365 | ||||||||
\(83\) | −1.83860e6 | − | 669195.i | −0.352950 | − | 0.128463i | 0.159460 | − | 0.987204i | \(-0.449025\pi\) |
−0.512410 | + | 0.858741i | \(0.671247\pi\) | |||||||
\(84\) | −512510. | + | 3.30669e6i | −0.0943463 | + | 0.608718i | ||||
\(85\) | 2.07296e6 | + | 1.73942e6i | 0.366122 | + | 0.307213i | ||||
\(86\) | 936917. | − | 5.31352e6i | 0.158839 | − | 0.900819i | ||||
\(87\) | −993499. | + | 1.80640e6i | −0.161752 | + | 0.294101i | ||||
\(88\) | −5.46032e6 | + | 4.58175e6i | −0.854139 | + | 0.716708i | ||||
\(89\) | −6.02973e6 | − | 1.04438e7i | −0.906635 | − | 1.57034i | −0.818707 | − | 0.574212i | \(-0.805309\pi\) |
−0.0879287 | − | 0.996127i | \(-0.528025\pi\) | |||||||
\(90\) | 2.45512e6 | − | 2.24022e6i | 0.354996 | − | 0.323923i | ||||
\(91\) | 630091. | − | 1.09135e6i | 0.0876513 | − | 0.151817i | ||||
\(92\) | −1.44477e6 | − | 8.19368e6i | −0.193437 | − | 1.09704i | ||||
\(93\) | 8.32221e6 | − | 7.28291e6i | 1.07287 | − | 0.938889i | ||||
\(94\) | −1.91072e7 | + | 6.95443e6i | −2.37273 | + | 0.863603i | ||||
\(95\) | −3.45708e6 | + | 1.25827e6i | −0.413692 | + | 0.150571i | ||||
\(96\) | 6.10897e6 | + | 2.08089e6i | 0.704723 | + | 0.240048i | ||||
\(97\) | −2.26494e6 | − | 1.28451e7i | −0.251974 | − | 1.42901i | −0.803723 | − | 0.595004i | \(-0.797151\pi\) |
0.551749 | − | 0.834010i | \(-0.313961\pi\) | |||||||
\(98\) | −6.74942e6 | + | 1.16903e7i | −0.724395 | + | 1.25469i | ||||
\(99\) | 1.16203e6 | − | 8.68527e6i | 0.120364 | − | 0.899622i | ||||
\(100\) | 7.97584e6 | + | 1.38146e7i | 0.797584 | + | 1.38146i | ||||
\(101\) | −1.05222e7 | + | 8.82914e6i | −1.01620 | + | 0.852695i | −0.989146 | − | 0.146939i | \(-0.953058\pi\) |
−0.0270565 | + | 0.999634i | \(0.508613\pi\) | |||||||
\(102\) | 1.51352e7 | + | 2.50013e7i | 1.41217 | + | 2.33272i | ||||
\(103\) | 2.11875e6 | − | 1.20160e7i | 0.191051 | − | 1.08350i | −0.726880 | − | 0.686765i | \(-0.759030\pi\) |
0.917931 | − | 0.396740i | \(-0.129859\pi\) | |||||||
\(104\) | 5.35143e6 | + | 4.49038e6i | 0.466502 | + | 0.391441i | ||||
\(105\) | −1.13512e6 | + | 440051.i | −0.0956931 | + | 0.0370972i | ||||
\(106\) | −2.09307e7 | − | 7.61814e6i | −1.70692 | − | 0.621268i | ||||
\(107\) | 1.62855e7 | 1.28516 | 0.642580 | − | 0.766218i | \(-0.277864\pi\) | ||||
0.642580 | + | 0.766218i | \(0.277864\pi\) | |||||||
\(108\) | 2.09013e7 | − | 9.11814e6i | 1.59657 | − | 0.696503i | ||||
\(109\) | 1.20009e7 | 0.887608 | 0.443804 | − | 0.896124i | \(-0.353629\pi\) | ||||
0.443804 | + | 0.896124i | \(0.353629\pi\) | |||||||
\(110\) | −5.72177e6 | − | 2.08255e6i | −0.409879 | − | 0.149184i | ||||
\(111\) | 1.18256e7 | + | 9.51150e6i | 0.820714 | + | 0.660113i | ||||
\(112\) | 1.17725e6 | + | 987830.i | 0.0791782 | + | 0.0664384i | ||||
\(113\) | −2.04855e6 | + | 1.16179e7i | −0.133559 | + | 0.757448i | 0.842294 | + | 0.539018i | \(0.181205\pi\) |
−0.975853 | + | 0.218430i | \(0.929907\pi\) | |||||||
\(114\) | −3.97243e7 | + | 824976.i | −2.51125 | + | 0.0521524i | ||||
\(115\) | 2.31889e6 | − | 1.94578e6i | 0.142180 | − | 0.119303i | ||||
\(116\) | 4.91446e6 | + | 8.51210e6i | 0.292330 | + | 0.506330i | ||||
\(117\) | −8.58051e6 | + | 356546.i | −0.495294 | + | 0.0205809i | ||||
\(118\) | 1.42542e6 | − | 2.46890e6i | 0.0798647 | − | 0.138330i | ||||
\(119\) | −1.85898e6 | − | 1.05428e7i | −0.101125 | − | 0.573511i | ||||
\(120\) | −1.30967e6 | − | 6.62054e6i | −0.0691874 | − | 0.349751i | ||||
\(121\) | 3.22642e6 | − | 1.17432e6i | 0.165567 | − | 0.0602613i | ||||
\(122\) | −6.93077e6 | + | 2.52260e6i | −0.345559 | + | 0.125773i | ||||
\(123\) | −830485. | − | 4.19821e6i | −0.0402406 | − | 0.203421i | ||||
\(124\) | −9.15564e6 | − | 5.19242e7i | −0.431234 | − | 2.44565i | ||||
\(125\) | −6.07059e6 | + | 1.05146e7i | −0.278001 | + | 0.481511i | ||||
\(126\) | −1.31371e7 | + | 545884.i | −0.585061 | + | 0.0243110i | ||||
\(127\) | 6.66057e6 | + | 1.15364e7i | 0.288535 | + | 0.499757i | 0.973460 | − | 0.228856i | \(-0.0734986\pi\) |
−0.684925 | + | 0.728613i | \(0.740165\pi\) | |||||||
\(128\) | 3.23669e7 | − | 2.71590e7i | 1.36416 | − | 1.14467i | ||||
\(129\) | 1.34658e7 | − | 279651.i | 0.552291 | − | 0.0114697i | ||||
\(130\) | −1.03625e6 | + | 5.87689e6i | −0.0413680 | + | 0.234610i | ||||
\(131\) | 3.07251e6 | + | 2.57815e6i | 0.119411 | + | 0.100198i | 0.700538 | − | 0.713615i | \(-0.252944\pi\) |
−0.581127 | + | 0.813813i | \(0.697388\pi\) | |||||||
\(132\) | −3.25540e7 | − | 2.61837e7i | −1.23196 | − | 0.990883i | ||||
\(133\) | 1.36765e7 | + | 4.97785e6i | 0.504075 | + | 0.183468i | ||||
\(134\) | 5.73442e6 | 0.205884 | ||||||||
\(135\) | 6.67524e6 | + | 4.92696e6i | 0.233506 | + | 0.172350i | ||||
\(136\) | 5.93454e7 | 2.02302 | ||||||||
\(137\) | −8.33682e6 | − | 3.03435e6i | −0.276999 | − | 0.100819i | 0.199785 | − | 0.979840i | \(-0.435976\pi\) |
−0.476784 | + | 0.879020i | \(0.658198\pi\) | |||||||
\(138\) | 3.04824e7 | − | 1.18171e7i | 0.987353 | − | 0.382765i | ||||
\(139\) | 1.95127e7 | + | 1.63731e7i | 0.616263 | + | 0.517106i | 0.896626 | − | 0.442788i | \(-0.146011\pi\) |
−0.280363 | + | 0.959894i | \(0.590455\pi\) | |||||||
\(140\) | −1.00791e6 | + | 5.71614e6i | −0.0310437 | + | 0.176058i | ||||
\(141\) | −2.62862e7 | − | 4.34213e7i | −0.789699 | − | 1.30448i | ||||
\(142\) | −7.25598e7 | + | 6.08849e7i | −2.12661 | + | 1.78443i | ||||
\(143\) | 7.86677e6 | + | 1.36256e7i | 0.224968 | + | 0.389656i | ||||
\(144\) | 1.38884e6 | − | 1.03805e7i | 0.0387600 | − | 0.289700i | ||||
\(145\) | −1.78803e6 | + | 3.09695e6i | −0.0487064 | + | 0.0843619i | ||||
\(146\) | −1.54404e7 | − | 8.75669e7i | −0.410605 | − | 2.32865i | ||||
\(147\) | −3.18973e7 | − | 1.08651e7i | −0.828215 | − | 0.282113i | ||||
\(148\) | 6.79908e7 | − | 2.47466e7i | 1.72399 | − | 0.627480i | ||||
\(149\) | −2.03541e6 | + | 740827.i | −0.0504080 | + | 0.0183470i | −0.367101 | − | 0.930181i | \(-0.619650\pi\) |
0.316693 | + | 0.948528i | \(0.397427\pi\) | |||||||
\(150\) | −4.71690e7 | + | 4.12784e7i | −1.14113 | + | 0.998626i | ||||
\(151\) | −810566. | − | 4.59695e6i | −0.0191588 | − | 0.108655i | 0.973729 | − | 0.227711i | \(-0.0731243\pi\) |
−0.992888 | + | 0.119056i | \(0.962013\pi\) | |||||||
\(152\) | −4.03406e7 | + | 6.98721e7i | −0.931731 | + | 1.61380i | ||||
\(153\) | −5.38922e7 | + | 4.91749e7i | −1.21648 | + | 1.11000i | ||||
\(154\) | 1.20443e7 | + | 2.08613e7i | 0.265741 | + | 0.460277i | ||||
\(155\) | 1.46950e7 | − | 1.23306e7i | 0.316963 | − | 0.265964i | ||||
\(156\) | −1.97315e7 | + | 3.58762e7i | −0.416125 | + | 0.756607i | ||||
\(157\) | −9.43329e6 | + | 5.34989e7i | −0.194542 | + | 1.10331i | 0.718526 | + | 0.695500i | \(0.244817\pi\) |
−0.913069 | + | 0.407805i | \(0.866294\pi\) | |||||||
\(158\) | 8.43508e7 | + | 7.07788e7i | 1.70133 | + | 1.42759i | ||||
\(159\) | 8.51621e6 | − | 5.49462e7i | 0.168018 | − | 1.08405i | ||||
\(160\) | 1.05195e7 | + | 3.82878e6i | 0.203037 | + | 0.0738993i | ||||
\(161\) | −1.19755e7 | −0.226153 | ||||||||
\(162\) | 5.10854e7 | + | 7.36149e7i | 0.944048 | + | 1.36039i | ||||
\(163\) | 1.62948e7 | 0.294707 | 0.147354 | − | 0.989084i | \(-0.452924\pi\) | ||||
0.147354 | + | 0.989084i | \(0.452924\pi\) | |||||||
\(164\) | −1.91730e7 | − | 6.97841e6i | −0.339420 | − | 0.123539i | ||||
\(165\) | 2.32806e6 | − | 1.50205e7i | 0.0403459 | − | 0.260310i | ||||
\(166\) | −2.80792e7 | − | 2.35612e7i | −0.476438 | − | 0.399779i | ||||
\(167\) | −1.60885e7 | + | 9.12427e7i | −0.267306 | + | 1.51597i | 0.495080 | + | 0.868847i | \(0.335139\pi\) |
−0.762386 | + | 0.647122i | \(0.775972\pi\) | |||||||
\(168\) | −1.28666e7 | + | 2.33942e7i | −0.209353 | + | 0.380650i | ||||
\(169\) | −3.62559e7 | + | 3.04223e7i | −0.577797 | + | 0.484829i | ||||
\(170\) | 2.53476e7 | + | 4.39034e7i | 0.395700 | + | 0.685373i | ||||
\(171\) | −2.12637e7 | − | 9.68786e7i | −0.325202 | − | 1.48164i | ||||
\(172\) | 3.21071e7 | − | 5.56111e7i | 0.481118 | − | 0.833320i | ||||
\(173\) | 4.66254e6 | + | 2.64426e7i | 0.0684639 | + | 0.388278i | 0.999714 | + | 0.0238984i | \(0.00760782\pi\) |
−0.931251 | + | 0.364380i | \(0.881281\pi\) | |||||||
\(174\) | −2.90640e7 | + | 2.54344e7i | −0.418248 | + | 0.366016i | ||||
\(175\) | 2.15753e7 | − | 7.85276e6i | 0.304315 | − | 0.110762i | ||||
\(176\) | −1.80299e7 | + | 6.56235e6i | −0.249287 | + | 0.0907330i | ||||
\(177\) | 6.73642e6 | + | 2.29461e6i | 0.0913110 | + | 0.0311031i | ||||
\(178\) | −3.92308e7 | − | 2.22489e8i | −0.521384 | − | 2.95691i | ||||
\(179\) | 4.88225e7 | − | 8.45630e7i | 0.636259 | − | 1.10203i | −0.349988 | − | 0.936754i | \(-0.613814\pi\) |
0.986247 | − | 0.165279i | \(-0.0528524\pi\) | |||||||
\(180\) | 3.65762e7 | − | 1.50603e7i | 0.467461 | − | 0.192477i | ||||
\(181\) | −4.56030e7 | − | 7.89867e7i | −0.571634 | − | 0.990099i | −0.996398 | − | 0.0847953i | \(-0.972976\pi\) |
0.424764 | − | 0.905304i | \(-0.360357\pi\) | |||||||
\(182\) | 1.80849e7 | − | 1.51751e7i | 0.222365 | − | 0.186587i | ||||
\(183\) | −9.53486e6 | − | 1.57503e7i | −0.115010 | − | 0.189981i | ||||
\(184\) | 1.15278e7 | − | 6.53772e7i | 0.136421 | − | 0.773685i | ||||
\(185\) | 2.01658e7 | + | 1.69211e7i | 0.234161 | + | 0.196485i | ||||
\(186\) | 1.93170e8 | − | 7.48858e7i | 2.20112 | − | 0.853305i | ||||
\(187\) | 1.25598e8 | + | 4.57140e7i | 1.40455 | + | 0.511215i | ||||
\(188\) | −2.41997e8 | −2.65618 | ||||||||
\(189\) | −7.70070e6 | − | 3.19060e7i | −0.0829687 | − | 0.343761i | ||||
\(190\) | −6.89213e7 | −0.728980 | ||||||||
\(191\) | −5.04854e7 | − | 1.83752e7i | −0.524262 | − | 0.190816i | 0.0663123 | − | 0.997799i | \(-0.478877\pi\) |
−0.590575 | + | 0.806983i | \(0.701099\pi\) | |||||||
\(192\) | 1.16547e8 | + | 9.37405e7i | 1.18836 | + | 0.955813i | ||||
\(193\) | 1.43673e7 | + | 1.20556e7i | 0.143855 | + | 0.120709i | 0.711875 | − | 0.702306i | \(-0.247846\pi\) |
−0.568020 | + | 0.823014i | \(0.692291\pi\) | |||||||
\(194\) | 4.24313e7 | − | 2.40640e8i | 0.417234 | − | 2.36625i | ||||
\(195\) | −1.48935e7 | + | 309302.i | −0.143839 | + | 0.00298718i | ||||
\(196\) | −1.23070e8 | + | 1.03268e8i | −1.16749 | + | 0.979643i | ||||
\(197\) | 2.53140e7 | + | 4.38451e7i | 0.235901 | + | 0.408592i | 0.959534 | − | 0.281593i | \(-0.0908627\pi\) |
−0.723633 | + | 0.690184i | \(0.757529\pi\) | |||||||
\(198\) | 7.61066e7 | − | 1.45451e8i | 0.696778 | − | 1.33165i | ||||
\(199\) | −3.88425e6 | + | 6.72771e6i | −0.0349398 | + | 0.0605176i | −0.882967 | − | 0.469436i | \(-0.844457\pi\) |
0.848027 | + | 0.529953i | \(0.177791\pi\) | |||||||
\(200\) | 2.21016e7 | + | 1.25344e8i | 0.195352 | + | 1.10790i | ||||
\(201\) | 2.77790e6 | + | 1.40426e7i | 0.0241285 | + | 0.121973i | ||||
\(202\) | −2.41806e8 | + | 8.80100e7i | −2.06413 | + | 0.751281i | ||||
\(203\) | 1.32940e7 | − | 4.83863e6i | 0.111537 | − | 0.0405963i | ||||
\(204\) | 6.74989e7 | + | 3.41216e8i | 0.556661 | + | 2.81400i | ||||
\(205\) | −1.28906e6 | − | 7.31062e6i | −0.0104504 | − | 0.0592674i | ||||
\(206\) | 1.14290e8 | − | 1.97957e8i | 0.910907 | − | 1.57774i | ||||
\(207\) | 4.37044e7 | + | 6.89218e7i | 0.342475 | + | 0.540083i | ||||
\(208\) | 9.40220e6 | + | 1.62851e7i | 0.0724449 | + | 0.125478i | ||||
\(209\) | −1.39199e8 | + | 1.16802e8i | −1.05469 | + | 0.884991i | ||||
\(210\) | −2.28025e7 | + | 473551.i | −0.169908 | + | 0.00352858i | ||||
\(211\) | −4.07236e7 | + | 2.30955e8i | −0.298441 | + | 1.69254i | 0.354439 | + | 0.935079i | \(0.384672\pi\) |
−0.652879 | + | 0.757462i | \(0.726439\pi\) | |||||||
\(212\) | −2.03073e8 | − | 1.70398e8i | −1.46378 | − | 1.22826i | ||||
\(213\) | −1.84247e8 | − | 1.48193e8i | −1.30639 | − | 1.05075i | ||||
\(214\) | 2.86692e8 | + | 1.04347e8i | 1.99971 | + | 0.727836i | ||||
\(215\) | 2.33630e7 | 0.160322 | ||||||||
\(216\) | 1.81596e8 | − | 1.13269e7i | 1.22608 | − | 0.0764759i | ||||
\(217\) | −7.58897e7 | −0.504166 | ||||||||
\(218\) | 2.11266e8 | + | 7.68945e7i | 1.38112 | + | 0.502687i | ||||
\(219\) | 2.06957e8 | − | 8.02306e7i | 1.33145 | − | 0.516162i | ||||
\(220\) | −5.55135e7 | − | 4.65814e7i | −0.351495 | − | 0.294939i | ||||
\(221\) | 2.27468e7 | − | 1.29003e8i | 0.141758 | − | 0.803948i | ||||
\(222\) | 1.47235e8 | + | 2.43213e8i | 0.903185 | + | 1.49194i | ||||
\(223\) | 1.26841e8 | − | 1.06432e8i | 0.765937 | − | 0.642697i | −0.173728 | − | 0.984794i | \(-0.555581\pi\) |
0.939665 | + | 0.342096i | \(0.111137\pi\) | |||||||
\(224\) | −2.21434e7 | − | 3.83536e7i | −0.131637 | − | 0.228001i | ||||
\(225\) | −1.23934e8 | − | 9.55126e7i | −0.725355 | − | 0.559013i | ||||
\(226\) | −1.10503e8 | + | 1.91397e8i | −0.636790 | + | 1.10295i | ||||
\(227\) | 2.29622e7 | + | 1.30225e8i | 0.130294 | + | 0.738933i | 0.978022 | + | 0.208502i | \(0.0668588\pi\) |
−0.847728 | + | 0.530431i | \(0.822030\pi\) | |||||||
\(228\) | −4.47623e8 | − | 1.52473e8i | −2.50116 | − | 0.851964i | ||||
\(229\) | −1.94255e8 | + | 7.07030e7i | −1.06893 | + | 0.389057i | −0.815775 | − | 0.578369i | \(-0.803689\pi\) |
−0.253151 | + | 0.967427i | \(0.581467\pi\) | |||||||
\(230\) | 5.32894e7 | − | 1.93958e7i | 0.288798 | − | 0.105114i | ||||
\(231\) | −4.52513e7 | + | 3.96002e7i | −0.241540 | + | 0.211376i | ||||
\(232\) | 1.36183e7 | + | 7.72333e7i | 0.0716004 | + | 0.406066i | ||||
\(233\) | 8.13152e7 | − | 1.40842e8i | 0.421140 | − | 0.729435i | −0.574912 | − | 0.818216i | \(-0.694964\pi\) |
0.996051 | + | 0.0887803i | \(0.0282969\pi\) | |||||||
\(234\) | −1.53337e8 | − | 4.87020e7i | −0.782334 | − | 0.248480i | ||||
\(235\) | −4.40228e7 | − | 7.62498e7i | −0.221279 | − | 0.383267i | ||||
\(236\) | 2.59912e7 | − | 2.18092e7i | 0.128716 | − | 0.108006i | ||||
\(237\) | −1.32464e8 | + | 2.40848e8i | −0.646365 | + | 1.17523i | ||||
\(238\) | 3.48261e7 | − | 1.97508e8i | 0.167450 | − | 0.949656i | ||||
\(239\) | 2.06553e8 | + | 1.73318e8i | 0.978675 | + | 0.821206i | 0.983889 | − | 0.178781i | \(-0.0572152\pi\) |
−0.00521402 | + | 0.999986i | \(0.501660\pi\) | |||||||
\(240\) | 2.78245e6 | − | 1.79522e7i | 0.0129923 | − | 0.0838259i | ||||
\(241\) | 2.65340e8 | + | 9.65760e7i | 1.22108 | + | 0.444436i | 0.870533 | − | 0.492110i | \(-0.163774\pi\) |
0.350545 | + | 0.936546i | \(0.385996\pi\) | |||||||
\(242\) | 6.43229e7 | 0.291750 | ||||||||
\(243\) | −1.55524e8 | + | 1.60761e8i | −0.695303 | + | 0.718716i | ||||
\(244\) | −8.77801e7 | −0.386840 | ||||||||
\(245\) | −5.49263e7 | − | 1.99915e7i | −0.238616 | − | 0.0868490i | ||||
\(246\) | 1.22796e7 | − | 7.92272e7i | 0.0525909 | − | 0.339314i | ||||
\(247\) | 1.36423e8 | + | 1.14473e8i | 0.576036 | + | 0.483352i | ||||
\(248\) | 7.30526e7 | − | 4.14302e8i | 0.304127 | − | 1.72479i | ||||
\(249\) | 4.40953e7 | − | 8.01749e7i | 0.181007 | − | 0.329110i | ||||
\(250\) | −1.74239e8 | + | 1.46204e8i | −0.705269 | + | 0.591791i | ||||
\(251\) | −1.42767e8 | − | 2.47280e8i | −0.569863 | − | 0.987032i | −0.996579 | − | 0.0826461i | \(-0.973663\pi\) |
0.426716 | − | 0.904386i | \(-0.359670\pi\) | |||||||
\(252\) | −1.49143e8 | − | 4.73699e7i | −0.587085 | − | 0.186466i | ||||
\(253\) | 7.47576e7 | − | 1.29484e8i | 0.290224 | − | 0.502683i | ||||
\(254\) | 4.33352e7 | + | 2.45766e8i | 0.165929 | + | 0.941032i | ||||
\(255\) | −9.52331e7 | + | 8.33401e7i | −0.359664 | + | 0.314748i | ||||
\(256\) | 3.59122e8 | − | 1.30710e8i | 1.33783 | − | 0.486931i | ||||
\(257\) | −2.35071e8 | + | 8.55587e7i | −0.863838 | + | 0.314411i | −0.735669 | − | 0.677341i | \(-0.763132\pi\) |
−0.128169 | + | 0.991752i | \(0.540910\pi\) | |||||||
\(258\) | 2.38846e8 | + | 8.13576e7i | 0.865862 | + | 0.294937i | ||||
\(259\) | −1.80842e7 | − | 1.02561e8i | −0.0646770 | − | 0.366801i | ||||
\(260\) | −3.55113e7 | + | 6.15074e7i | −0.125302 | + | 0.217030i | ||||
\(261\) | −7.63640e7 | − | 5.88519e7i | −0.265856 | − | 0.204889i | ||||
\(262\) | 3.75699e7 | + | 6.50729e7i | 0.129058 | + | 0.223535i | ||||
\(263\) | −1.24431e8 | + | 1.04410e8i | −0.421779 | + | 0.353914i | −0.828839 | − | 0.559487i | \(-0.810998\pi\) |
0.407061 | + | 0.913401i | \(0.366554\pi\) | |||||||
\(264\) | −1.72628e8 | − | 2.85159e8i | −0.577429 | − | 0.953835i | ||||
\(265\) | 1.67481e7 | − | 9.49832e7i | 0.0552847 | − | 0.313535i | ||||
\(266\) | 2.08869e8 | + | 1.75262e8i | 0.680437 | + | 0.570955i | ||||
\(267\) | 5.25835e8 | − | 2.03849e8i | 1.69067 | − | 0.655420i | ||||
\(268\) | 6.41321e7 | + | 2.33422e7i | 0.203518 | + | 0.0740747i | ||||
\(269\) | −8.57986e7 | −0.268749 | −0.134375 | − | 0.990931i | \(-0.542903\pi\) | ||||
−0.134375 | + | 0.990931i | \(0.542903\pi\) | |||||||
\(270\) | 8.59431e7 | + | 1.29506e8i | 0.265728 | + | 0.400421i | ||||
\(271\) | −3.21130e8 | −0.980142 | −0.490071 | − | 0.871683i | \(-0.663029\pi\) | ||||
−0.490071 | + | 0.871683i | \(0.663029\pi\) | |||||||
\(272\) | 1.50112e8 | + | 5.46364e7i | 0.452299 | + | 0.164623i | ||||
\(273\) | 4.59220e7 | + | 3.69358e7i | 0.136600 | + | 0.109870i | ||||
\(274\) | −1.27320e8 | − | 1.06835e8i | −0.373914 | − | 0.313751i | ||||
\(275\) | −4.97776e7 | + | 2.82303e8i | −0.144334 | + | 0.818561i | ||||
\(276\) | 3.89008e8 | − | 8.07873e6i | 1.11372 | − | 0.0231292i | ||||
\(277\) | −6.32828e7 | + | 5.31006e7i | −0.178898 | + | 0.150114i | −0.727840 | − | 0.685747i | \(-0.759476\pi\) |
0.548941 | + | 0.835861i | \(0.315031\pi\) | |||||||
\(278\) | 2.38596e8 | + | 4.13261e8i | 0.666050 | + | 1.15363i | ||||
\(279\) | 2.76959e8 | + | 4.36765e8i | 0.763487 | + | 1.20402i | ||||
\(280\) | −2.31563e7 | + | 4.01078e7i | −0.0630399 | + | 0.109188i | ||||
\(281\) | −5.88430e7 | − | 3.33715e8i | −0.158206 | − | 0.897230i | −0.955796 | − | 0.294030i | \(-0.905003\pi\) |
0.797590 | − | 0.603200i | \(-0.206108\pi\) | |||||||
\(282\) | −1.84530e8 | − | 9.32823e8i | −0.489999 | − | 2.47701i | ||||
\(283\) | 5.08679e8 | − | 1.85144e8i | 1.33411 | − | 0.485576i | 0.426157 | − | 0.904649i | \(-0.359867\pi\) |
0.907953 | + | 0.419073i | \(0.137645\pi\) | |||||||
\(284\) | −1.05932e9 | + | 3.85562e8i | −2.74419 | + | 0.998803i | ||||
\(285\) | −3.33872e7 | − | 1.68777e8i | −0.0854325 | − | 0.431873i | ||||
\(286\) | 5.11831e7 | + | 2.90274e8i | 0.129373 | + | 0.733713i | ||||
\(287\) | −1.46838e7 | + | 2.54331e7i | −0.0366651 | + | 0.0635058i | ||||
\(288\) | −1.39922e8 | + | 2.67412e8i | −0.345154 | + | 0.659641i | ||||
\(289\) | −3.51235e8 | − | 6.08357e8i | −0.855964 | − | 1.48257i | ||||
\(290\) | −5.13201e7 | + | 4.30627e7i | −0.123565 | + | 0.103683i | ||||
\(291\) | 6.09841e8 | − | 1.26649e7i | 1.45075 | − | 0.0301284i | ||||
\(292\) | 1.83763e8 | − | 1.04217e9i | 0.431935 | − | 2.44963i | ||||
\(293\) | 9.51058e7 | + | 7.98033e7i | 0.220887 | + | 0.185346i | 0.746516 | − | 0.665368i | \(-0.231725\pi\) |
−0.525628 | + | 0.850714i | \(0.676170\pi\) | |||||||
\(294\) | −4.91908e8 | − | 3.95650e8i | −1.12893 | − | 0.908020i | ||||
\(295\) | 1.15999e7 | + | 4.22203e6i | 0.0263075 | + | 0.00957513i | ||||
\(296\) | 5.77313e8 | 1.29387 | ||||||||
\(297\) | 3.93054e8 | + | 1.15912e8i | 0.870572 | + | 0.256733i | ||||
\(298\) | −4.05784e7 | −0.0888256 | ||||||||
\(299\) | −1.37697e8 | − | 5.01174e7i | −0.297902 | − | 0.108428i | ||||
\(300\) | −6.95549e8 | + | 2.69642e8i | −1.48732 | + | 0.576585i | ||||
\(301\) | −7.08026e7 | − | 5.94104e7i | −0.149646 | − | 0.125568i | ||||
\(302\) | 1.51851e7 | − | 8.61191e7i | 0.0317244 | − | 0.179918i | ||||
\(303\) | −3.32659e8 | − | 5.49507e8i | −0.686989 | − | 1.13481i | ||||
\(304\) | −1.66368e8 | + | 1.39600e8i | −0.339635 | + | 0.284988i | ||||
\(305\) | −1.59685e7 | − | 2.76582e7i | −0.0322266 | − | 0.0558181i | ||||
\(306\) | −1.26381e9 | + | 5.20374e8i | −2.52149 | + | 1.03822i | ||||
\(307\) | 2.74504e8 | − | 4.75456e8i | 0.541458 | − | 0.937833i | −0.457362 | − | 0.889280i | \(-0.651206\pi\) |
0.998821 | − | 0.0485528i | \(-0.0154609\pi\) | |||||||
\(308\) | 4.97830e7 | + | 2.82334e8i | 0.0970854 | + | 0.550599i | ||||
\(309\) | 5.40128e8 | + | 1.83983e8i | 1.04146 | + | 0.354750i | ||||
\(310\) | 3.37700e8 | − | 1.22913e8i | 0.643822 | − | 0.234332i | ||||
\(311\) | −2.29330e8 | + | 8.34692e7i | −0.432314 | + | 0.157349i | −0.549005 | − | 0.835819i | \(-0.684993\pi\) |
0.116692 | + | 0.993168i | \(0.462771\pi\) | |||||||
\(312\) | −2.45848e8 | + | 2.15145e8i | −0.458274 | + | 0.401043i | ||||
\(313\) | −4.97421e7 | − | 2.82102e8i | −0.0916894 | − | 0.519996i | −0.995712 | − | 0.0925110i | \(-0.970511\pi\) |
0.904022 | − | 0.427485i | \(-0.140600\pi\) | |||||||
\(314\) | −5.08853e8 | + | 8.81360e8i | −0.927553 | + | 1.60657i | ||||
\(315\) | −1.22058e7 | − | 5.56101e7i | −0.0220028 | − | 0.100246i | ||||
\(316\) | 6.55248e8 | + | 1.13492e9i | 1.16816 | + | 2.02330i | ||||
\(317\) | 9.06900e7 | − | 7.60980e7i | 0.159901 | − | 0.134173i | −0.559326 | − | 0.828947i | \(-0.688940\pi\) |
0.719228 | + | 0.694774i | \(0.244496\pi\) | |||||||
\(318\) | 5.01983e8 | − | 9.12715e8i | 0.875374 | − | 1.59162i | ||||
\(319\) | −3.06714e7 | + | 1.73946e8i | −0.0529013 | + | 0.300018i | ||||
\(320\) | 1.98744e8 | + | 1.66766e8i | 0.339055 | + | 0.284501i | ||||
\(321\) | −1.16649e8 | + | 7.52610e8i | −0.196839 | + | 1.27000i | ||||
\(322\) | −2.10818e8 | − | 7.67315e7i | −0.351894 | − | 0.128079i | ||||
\(323\) | 1.51289e9 | 2.49803 | ||||||||
\(324\) | 2.71672e8 | + | 1.03123e9i | 0.443749 | + | 1.68442i | ||||
\(325\) | 2.80941e8 | 0.453967 | ||||||||
\(326\) | 2.86856e8 | + | 1.04407e8i | 0.458566 | + | 0.166904i | ||||
\(327\) | −8.59593e7 | + | 5.54605e8i | −0.135949 | + | 0.877135i | ||||
\(328\) | −1.24711e8 | − | 1.04645e8i | −0.195141 | − | 0.163742i | ||||
\(329\) | −6.04846e7 | + | 3.43025e8i | −0.0936395 | + | 0.531056i | ||||
\(330\) | 1.37226e8 | − | 2.49507e8i | 0.210202 | − | 0.382194i | ||||
\(331\) | −5.17169e7 | + | 4.33956e7i | −0.0783852 | + | 0.0657730i | −0.681138 | − | 0.732155i | \(-0.738515\pi\) |
0.602753 | + | 0.797928i | \(0.294070\pi\) | |||||||
\(332\) | −2.18123e8 | − | 3.77799e8i | −0.327128 | − | 0.566602i | ||||
\(333\) | −5.24264e8 | + | 4.78374e8i | −0.778028 | + | 0.709925i | ||||
\(334\) | −8.67853e8 | + | 1.50317e9i | −1.27448 | + | 2.20747i | ||||
\(335\) | 4.31179e6 | + | 2.44534e7i | 0.00626615 | + | 0.0355371i | ||||
\(336\) | −5.40835e7 | + | 4.73294e7i | −0.0777816 | + | 0.0680680i | ||||
\(337\) | −1.15668e8 | + | 4.20995e7i | −0.164629 | + | 0.0599201i | −0.423020 | − | 0.906120i | \(-0.639030\pi\) |
0.258391 | + | 0.966040i | \(0.416808\pi\) | |||||||
\(338\) | −8.33183e8 | + | 3.03254e8i | −1.17363 | + | 0.427167i | ||||
\(339\) | −5.22231e8 | − | 1.77887e8i | −0.728054 | − | 0.247996i | ||||
\(340\) | 1.04770e8 | + | 5.94181e8i | 0.144564 | + | 0.819866i | ||||
\(341\) | 4.73746e8 | − | 8.20553e8i | 0.647002 | − | 1.12064i | ||||
\(342\) | 2.46410e8 | − | 1.84171e9i | 0.333093 | − | 2.48960i | ||||
\(343\) | 2.47764e8 | + | 4.29141e8i | 0.331520 | + | 0.574209i | ||||
\(344\) | 3.92493e8 | − | 3.29341e8i | 0.519849 | − | 0.436205i | ||||
\(345\) | 7.33118e7 | + | 1.21101e8i | 0.0961185 | + | 0.158775i | ||||
\(346\) | −8.73479e7 | + | 4.95375e8i | −0.113367 | + | 0.642936i | ||||
\(347\) | −9.89146e8 | − | 8.29992e8i | −1.27089 | − | 1.06640i | −0.994433 | − | 0.105375i | \(-0.966396\pi\) |
−0.276456 | − | 0.961027i | \(-0.589160\pi\) | |||||||
\(348\) | −4.28575e8 | + | 1.66145e8i | −0.545130 | + | 0.211329i | ||||
\(349\) | −9.35821e8 | − | 3.40611e8i | −1.17843 | − | 0.428913i | −0.322783 | − | 0.946473i | \(-0.604618\pi\) |
−0.855647 | + | 0.517560i | \(0.826841\pi\) | |||||||
\(350\) | 4.30131e8 | 0.536244 | ||||||||
\(351\) | 4.49826e7 | − | 3.99090e8i | 0.0555226 | − | 0.492602i | ||||
\(352\) | 5.52927e8 | 0.675723 | ||||||||
\(353\) | −5.38723e8 | − | 1.96079e8i | −0.651860 | − | 0.237258i | −0.00514183 | − | 0.999987i | \(-0.501637\pi\) |
−0.646718 | + | 0.762729i | \(0.723859\pi\) | |||||||
\(354\) | 1.03887e8 | + | 8.35577e7i | 0.124465 | + | 0.100109i | ||||
\(355\) | −3.14191e8 | − | 2.63638e8i | −0.372731 | − | 0.312758i | ||||
\(356\) | 4.66904e8 | − | 2.64794e9i | 0.548470 | − | 3.11053i | ||||
\(357\) | 5.00536e8 | − | 1.03949e7i | 0.582233 | − | 0.0120915i | ||||
\(358\) | 1.40131e9 | − | 1.17584e9i | 1.61415 | − | 1.35443i | ||||
\(359\) | −5.12115e8 | − | 8.87008e8i | −0.584166 | − | 1.01181i | −0.994979 | − | 0.100086i | \(-0.968088\pi\) |
0.410812 | − | 0.911720i | \(-0.365245\pi\) | |||||||
\(360\) | 3.15340e8 | − | 1.31033e7i | 0.356221 | − | 0.0148021i | ||||
\(361\) | −5.81464e8 | + | 1.00713e9i | −0.650501 | + | 1.12670i | ||||
\(362\) | −2.96704e8 | − | 1.68269e9i | −0.328733 | − | 1.86434i | ||||
\(363\) | 3.11596e7 | + | 1.57516e8i | 0.0341916 | + | 0.172843i | ||||
\(364\) | 2.64027e8 | − | 9.60981e7i | 0.286942 | − | 0.104438i | ||||
\(365\) | 3.61803e8 | − | 1.31686e8i | 0.389446 | − | 0.141747i | ||||
\(366\) | −6.69349e7 | − | 3.38365e8i | −0.0713623 | − | 0.360746i | ||||
\(367\) | 1.38527e8 | + | 7.85628e8i | 0.146287 | + | 0.829633i | 0.966325 | + | 0.257324i | \(0.0828409\pi\) |
−0.820038 | + | 0.572308i | \(0.806048\pi\) | |||||||
\(368\) | 8.93487e7 | − | 1.54757e8i | 0.0934590 | − | 0.161876i | ||||
\(369\) | 1.99963e8 | − | 8.30905e6i | 0.207184 | − | 0.00860913i | ||||
\(370\) | 2.46582e8 | + | 4.27093e8i | 0.253079 | + | 0.438345i | ||||
\(371\) | −2.92291e8 | + | 2.45262e8i | −0.297172 | + | 0.249357i | ||||
\(372\) | 2.46518e9 | − | 5.11957e7i | 2.48284 | − | 0.0515624i | ||||
\(373\) | −1.20779e8 | + | 6.84974e8i | −0.120507 | + | 0.683429i | 0.863368 | + | 0.504574i | \(0.168350\pi\) |
−0.983875 | + | 0.178855i | \(0.942761\pi\) | |||||||
\(374\) | 1.91814e9 | + | 1.60951e9i | 1.89597 | + | 1.59090i | ||||
\(375\) | −4.42434e8 | − | 3.55857e8i | −0.433251 | − | 0.348470i | ||||
\(376\) | −1.81444e9 | − | 6.60403e8i | −1.76030 | − | 0.640695i | ||||
\(377\) | 1.73107e8 | 0.166387 | ||||||||
\(378\) | 6.88699e7 | − | 6.11020e8i | 0.0655856 | − | 0.581881i | ||||
\(379\) | −3.48313e8 | −0.328649 | −0.164325 | − | 0.986406i | \(-0.552544\pi\) | ||||
−0.164325 | + | 0.986406i | \(0.552544\pi\) | |||||||
\(380\) | −7.70795e8 | − | 2.80547e8i | −0.720604 | − | 0.262278i | ||||
\(381\) | −5.80848e8 | + | 2.25176e8i | −0.538053 | + | 0.208586i | ||||
\(382\) | −7.71016e8 | − | 6.46959e8i | −0.707687 | − | 0.593820i | ||||
\(383\) | 5.90291e7 | − | 3.34771e8i | 0.0536872 | − | 0.304475i | −0.946126 | − | 0.323798i | \(-0.895040\pi\) |
0.999813 | + | 0.0193232i | \(0.00615114\pi\) | |||||||
\(384\) | 1.02328e9 | + | 1.69032e9i | 0.922222 | + | 1.52339i | ||||
\(385\) | −7.99030e7 | + | 6.70466e7i | −0.0713593 | + | 0.0598776i | ||||
\(386\) | 1.75679e8 | + | 3.04286e8i | 0.155477 | + | 0.269294i | ||||
\(387\) | −8.35282e7 | + | 6.24306e8i | −0.0732562 | + | 0.547531i | ||||
\(388\) | 1.45407e9 | − | 2.51853e9i | 1.26379 | − | 2.18895i | ||||
\(389\) | 3.48743e8 | + | 1.97782e9i | 0.300387 | + | 1.70358i | 0.644460 | + | 0.764638i | \(0.277082\pi\) |
−0.344073 | + | 0.938943i | \(0.611807\pi\) | |||||||
\(390\) | −2.64170e8 | − | 8.99837e7i | −0.225506 | − | 0.0768135i | ||||
\(391\) | −1.16975e9 | + | 4.25755e8i | −0.989636 | + | 0.360198i | ||||
\(392\) | −1.20456e9 | + | 4.38425e8i | −1.01002 | + | 0.367616i | ||||
\(393\) | −1.41153e8 | + | 1.23525e8i | −0.117305 | + | 0.102655i | ||||
\(394\) | 1.64699e8 | + | 9.34054e8i | 0.135661 | + | 0.769370i | ||||
\(395\) | −2.38398e8 | + | 4.12918e8i | −0.194632 | + | 0.337112i | ||||
\(396\) | 1.44322e9 | − | 1.31689e9i | 1.16788 | − | 1.06566i | ||||
\(397\) | −1.19548e9 | − | 2.07064e9i | −0.958908 | − | 1.66088i | −0.725160 | − | 0.688580i | \(-0.758234\pi\) |
−0.233748 | − | 0.972297i | \(-0.575099\pi\) | |||||||
\(398\) | −1.11486e8 | + | 9.35479e7i | −0.0886400 | + | 0.0743778i | ||||
\(399\) | −3.28006e8 | + | 5.96387e8i | −0.258509 | + | 0.470027i | ||||
\(400\) | −5.94932e7 | + | 3.37403e8i | −0.0464791 | + | 0.263596i | ||||
\(401\) | 1.05158e9 | + | 8.82380e8i | 0.814399 | + | 0.683362i | 0.951653 | − | 0.307174i | \(-0.0993834\pi\) |
−0.137255 | + | 0.990536i | \(0.543828\pi\) | |||||||
\(402\) | −4.10741e7 | + | 2.65008e8i | −0.0315339 | + | 0.203455i | ||||
\(403\) | −8.72597e8 | − | 3.17599e8i | −0.664119 | − | 0.241720i | ||||
\(404\) | −3.06253e9 | −2.31071 | ||||||||
\(405\) | −2.75505e8 | + | 2.73196e8i | −0.206081 | + | 0.204354i | ||||
\(406\) | 2.65033e8 | 0.196544 | ||||||||
\(407\) | 1.22182e9 | + | 4.44707e8i | 0.898312 | + | 0.326959i | ||||
\(408\) | −4.25075e8 | + | 2.74256e9i | −0.309853 | + | 1.99915i | ||||
\(409\) | 1.94837e9 | + | 1.63488e9i | 1.40812 | + | 1.18155i | 0.957356 | + | 0.288910i | \(0.0932929\pi\) |
0.450764 | + | 0.892643i | \(0.351152\pi\) | |||||||
\(410\) | 2.41492e7 | − | 1.36957e8i | 0.0173045 | − | 0.0981387i | ||||
\(411\) | 1.99943e8 | − | 3.63540e8i | 0.142056 | − | 0.258289i | ||||
\(412\) | 2.08398e9 | − | 1.74867e9i | 1.46809 | − | 1.23187i | ||||
\(413\) | −2.44178e7 | − | 4.22929e7i | −0.0170562 | − | 0.0295421i | ||||
\(414\) | 3.27771e8 | + | 1.49334e9i | 0.227023 | + | 1.03433i | ||||
\(415\) | 7.93594e7 | − | 1.37455e8i | 0.0545042 | − | 0.0944041i | ||||
\(416\) | −9.41001e7 | − | 5.33668e8i | −0.0640861 | − | 0.363450i | ||||
\(417\) | −8.96425e8 | + | 7.84477e8i | −0.605394 | + | 0.529790i | ||||
\(418\) | −3.19889e9 | + | 1.16430e9i | −2.14231 | + | 0.779736i | ||||
\(419\) | −4.53747e8 | + | 1.65151e8i | −0.301346 | + | 0.109681i | −0.488268 | − | 0.872694i | \(-0.662371\pi\) |
0.186922 | + | 0.982375i | \(0.440149\pi\) | |||||||
\(420\) | −2.56944e8 | − | 8.75223e7i | −0.169226 | − | 0.0576430i | ||||
\(421\) | 2.22751e8 | + | 1.26328e9i | 0.145490 | + | 0.825114i | 0.966973 | + | 0.254881i | \(0.0820361\pi\) |
−0.821483 | + | 0.570233i | \(0.806853\pi\) | |||||||
\(422\) | −2.19673e9 | + | 3.80484e9i | −1.42293 | + | 2.46458i | ||||
\(423\) | 2.19494e9 | − | 9.03766e8i | 1.41004 | − | 0.580584i | ||||
\(424\) | −1.05758e9 | − | 1.83179e9i | −0.673805 | − | 1.16706i | ||||
\(425\) | 1.82827e9 | − | 1.53410e9i | 1.15526 | − | 0.969378i | ||||
\(426\) | −2.29398e9 | − | 3.78935e9i | −1.43766 | − | 2.37482i | ||||
\(427\) | −2.19397e7 | + | 1.24426e8i | −0.0136374 | + | 0.0773418i | ||||
\(428\) | 2.78153e9 | + | 2.33398e9i | 1.71487 | + | 1.43895i | ||||
\(429\) | −6.86037e8 | + | 2.65955e8i | −0.419515 | + | 0.162632i | ||||
\(430\) | 4.11286e8 | + | 1.49696e8i | 0.249462 | + | 0.0907968i | ||||
\(431\) | −2.38745e9 | −1.43636 | −0.718181 | − | 0.695856i | \(-0.755025\pi\) | ||||
−0.718181 | + | 0.695856i | \(0.755025\pi\) | |||||||
\(432\) | 4.69770e8 | + | 1.38536e8i | 0.280345 | + | 0.0826739i | ||||
\(433\) | −2.19572e8 | −0.129978 | −0.0649891 | − | 0.997886i | \(-0.520701\pi\) | ||||
−0.0649891 | + | 0.997886i | \(0.520701\pi\) | |||||||
\(434\) | −1.33597e9 | − | 4.86255e8i | −0.784484 | − | 0.285529i | ||||
\(435\) | −1.30314e8 | − | 1.04814e8i | −0.0759065 | − | 0.0610528i | ||||
\(436\) | 2.04974e9 | + | 1.71993e9i | 1.18439 | + | 0.993822i | ||||
\(437\) | 2.93876e8 | − | 1.66665e9i | 0.168453 | − | 0.955346i | ||||
\(438\) | 4.15738e9 | − | 8.63384e7i | 2.36407 | − | 0.0490958i | ||||
\(439\) | −7.57191e8 | + | 6.35359e8i | −0.427149 | + | 0.358421i | −0.830875 | − | 0.556459i | \(-0.812159\pi\) |
0.403726 | + | 0.914880i | \(0.367715\pi\) | |||||||
\(440\) | −2.89109e8 | − | 5.00752e8i | −0.161800 | − | 0.280245i | ||||
\(441\) | 7.30587e8 | − | 1.39626e9i | 0.405637 | − | 0.775234i | ||||
\(442\) | 1.22701e9 | − | 2.12525e9i | 0.675882 | − | 1.17066i | ||||
\(443\) | −1.50525e8 | − | 8.53670e8i | −0.0822613 | − | 0.466527i | −0.997914 | − | 0.0645568i | \(-0.979437\pi\) |
0.915653 | − | 0.401970i | \(-0.131674\pi\) | |||||||
\(444\) | 6.56630e8 | + | 3.31935e9i | 0.356025 | + | 1.79975i | ||||
\(445\) | 9.19266e8 | − | 3.34585e8i | 0.494517 | − | 0.179989i | ||||
\(446\) | 2.91489e9 | − | 1.06093e9i | 1.55578 | − | 0.566259i | ||||
\(447\) | −1.96572e7 | − | 9.93697e7i | −0.0104099 | − | 0.0526233i | ||||
\(448\) | −1.78229e8 | − | 1.01078e9i | −0.0936493 | − | 0.531111i | ||||
\(449\) | 1.49795e9 | − | 2.59453e9i | 0.780973 | − | 1.35269i | −0.150402 | − | 0.988625i | \(-0.548057\pi\) |
0.931375 | − | 0.364060i | \(-0.118610\pi\) | |||||||
\(450\) | −1.56976e9 | − | 2.47551e9i | −0.812064 | − | 1.28062i | ||||
\(451\) | −1.83330e8 | − | 3.17536e8i | −0.0941054 | − | 0.162995i | ||||
\(452\) | −2.01493e9 | + | 1.69073e9i | −1.02630 | + | 0.861169i | ||||
\(453\) | 2.18247e8 | − | 4.53246e6i | 0.110308 | − | 0.00229081i | ||||
\(454\) | −4.30174e8 | + | 2.43964e9i | −0.215749 | + | 1.22357i | ||||
\(455\) | 7.83096e7 | + | 6.57095e7i | 0.0389740 | + | 0.0327031i | ||||
\(456\) | −2.94009e9 | − | 2.36476e9i | −1.45206 | − | 1.16791i | ||||
\(457\) | −1.68186e9 | − | 6.12147e8i | −0.824295 | − | 0.300019i | −0.104780 | − | 0.994495i | \(-0.533414\pi\) |
−0.719515 | + | 0.694476i | \(0.755636\pi\) | |||||||
\(458\) | −3.87272e9 | −1.88359 | ||||||||
\(459\) | −1.88653e9 | − | 2.84278e9i | −0.910583 | − | 1.37214i | ||||
\(460\) | 6.74925e8 | 0.323298 | ||||||||
\(461\) | 2.09714e9 | + | 7.63298e8i | 0.996954 | + | 0.362862i | 0.788409 | − | 0.615151i | \(-0.210905\pi\) |
0.208545 | + | 0.978013i | \(0.433127\pi\) | |||||||
\(462\) | −1.05035e9 | + | 4.07186e8i | −0.495548 | + | 0.192108i | ||||
\(463\) | −1.54556e8 | − | 1.29688e8i | −0.0723691 | − | 0.0607249i | 0.605886 | − | 0.795552i | \(-0.292819\pi\) |
−0.678255 | + | 0.734827i | \(0.737263\pi\) | |||||||
\(464\) | −3.66578e7 | + | 2.07897e8i | −0.0170355 | + | 0.0966129i | ||||
\(465\) | 4.64584e8 | + | 7.67430e8i | 0.214279 | + | 0.353959i | ||||
\(466\) | 2.33392e9 | − | 1.95839e9i | 1.06840 | − | 0.896496i | ||||
\(467\) | 8.63405e8 | + | 1.49546e9i | 0.392288 | + | 0.679463i | 0.992751 | − | 0.120190i | \(-0.0383503\pi\) |
−0.600463 | + | 0.799653i | \(0.705017\pi\) | |||||||
\(468\) | −1.51664e9 | − | 1.16883e9i | −0.683945 | − | 0.527099i | ||||
\(469\) | 4.91161e7 | − | 8.50716e7i | 0.0219846 | − | 0.0380785i | ||||
\(470\) | −2.86423e8 | − | 1.62439e9i | −0.127252 | − | 0.721683i | ||||
\(471\) | −2.40481e9 | − | 8.19144e8i | −1.06049 | − | 0.361233i | ||||
\(472\) | 2.54393e8 | − | 9.25915e7i | 0.111355 | − | 0.0405298i | ||||
\(473\) | 1.08436e9 | − | 3.94675e8i | 0.471151 | − | 0.171485i | ||||
\(474\) | −3.87512e9 | + | 3.39119e9i | −1.67133 | + | 1.46261i | ||||
\(475\) | 5.63434e8 | + | 3.19539e9i | 0.241221 | + | 1.36803i | ||||
\(476\) | 1.19345e9 | − | 2.06712e9i | 0.507201 | − | 0.878497i | ||||
\(477\) | 2.47826e9 | + | 7.87129e8i | 1.04552 | + | 0.332072i | ||||
\(478\) | 2.52567e9 | + | 4.37459e9i | 1.05774 | + | 1.83206i | ||||
\(479\) | −8.12944e8 | + | 6.82141e8i | −0.337976 | + | 0.283596i | −0.795941 | − | 0.605375i | \(-0.793023\pi\) |
0.457964 | + | 0.888971i | \(0.348579\pi\) | |||||||
\(480\) | −2.52290e8 | + | 4.58718e8i | −0.104125 | + | 0.189322i | ||||
\(481\) | 2.21281e8 | − | 1.25495e9i | 0.0906643 | − | 0.514183i | ||||
\(482\) | 4.05230e9 | + | 3.40028e9i | 1.64830 | + | 1.38309i | ||||
\(483\) | 8.57770e7 | − | 5.53429e8i | 0.0346382 | − | 0.223484i | ||||
\(484\) | 7.19368e8 | + | 2.61829e8i | 0.288398 | + | 0.104968i | ||||
\(485\) | 1.05807e9 | 0.421131 | ||||||||
\(486\) | −3.76792e9 | + | 1.83355e9i | −1.48893 | + | 0.724548i | ||||
\(487\) | 4.37594e9 | 1.71680 | 0.858400 | − | 0.512981i | \(-0.171459\pi\) | ||||
0.858400 | + | 0.512981i | \(0.171459\pi\) | |||||||
\(488\) | −6.58156e8 | − | 2.39549e8i | −0.256365 | − | 0.0933094i | ||||
\(489\) | −1.16715e8 | + | 7.53039e8i | −0.0451383 | + | 0.291230i | ||||
\(490\) | −8.38838e8 | − | 7.03869e8i | −0.322101 | − | 0.270275i | ||||
\(491\) | 1.90092e8 | − | 1.07806e9i | 0.0724733 | − | 0.411016i | −0.926890 | − | 0.375333i | \(-0.877528\pi\) |
0.999363 | − | 0.0356830i | \(-0.0113607\pi\) | |||||||
\(492\) | 4.59829e8 | − | 8.36070e8i | 0.174068 | − | 0.316493i | ||||
\(493\) | 1.12652e9 | − | 9.45266e8i | 0.423425 | − | 0.355296i | ||||
\(494\) | 1.66815e9 | + | 2.88932e9i | 0.622573 | + | 1.07833i | ||||
\(495\) | 6.77476e8 | + | 2.15176e8i | 0.251059 | + | 0.0797398i | ||||
\(496\) | 5.66212e8 | − | 9.80708e8i | 0.208350 | − | 0.360872i | ||||
\(497\) | 2.81759e8 | + | 1.59793e9i | 0.102951 | + | 0.583863i | ||||
\(498\) | 1.28997e9 | − | 1.12888e9i | 0.468034 | − | 0.409585i | ||||
\(499\) | 3.72244e9 | − | 1.35486e9i | 1.34115 | − | 0.488137i | 0.430972 | − | 0.902365i | \(-0.358171\pi\) |
0.910173 | + | 0.414228i | \(0.135948\pi\) | |||||||
\(500\) | −2.54376e9 | + | 9.25854e8i | −0.910084 | + | 0.331244i | ||||
\(501\) | −4.10141e9 | − | 1.39706e9i | −1.45714 | − | 0.496343i | ||||
\(502\) | −9.28878e8 | − | 5.26793e9i | −0.327714 | − | 1.85856i | ||||
\(503\) | 5.12159e8 | − | 8.87086e8i | 0.179439 | − | 0.310798i | −0.762250 | − | 0.647283i | \(-0.775905\pi\) |
0.941689 | + | 0.336486i | \(0.109238\pi\) | |||||||
\(504\) | −9.88971e8 | − | 7.62176e8i | −0.344094 | − | 0.265185i | ||||
\(505\) | −5.57120e8 | − | 9.64960e8i | −0.192499 | − | 0.333418i | ||||
\(506\) | 2.14570e9 | − | 1.80046e9i | 0.736279 | − | 0.617811i | ||||
\(507\) | −1.14623e9 | − | 1.89342e9i | −0.390612 | − | 0.645238i | ||||
\(508\) | −5.15752e8 | + | 2.92498e9i | −0.174549 | + | 0.989919i | ||||
\(509\) | −3.76009e9 | − | 3.15509e9i | −1.26382 | − | 1.06047i | −0.995264 | − | 0.0972085i | \(-0.969009\pi\) |
−0.268557 | − | 0.963264i | \(-0.586547\pi\) | |||||||
\(510\) | −2.21049e9 | + | 8.56937e8i | −0.737893 | + | 0.286058i | ||||
\(511\) | −1.43133e9 | − | 5.20960e8i | −0.474532 | − | 0.172716i | ||||
\(512\) | 1.75130e9 | 0.576655 | ||||||||
\(513\) | 4.62941e9 | − | 2.88757e8i | 1.51396 | − | 0.0944324i | ||||
\(514\) | −4.68643e9 | −1.52220 | ||||||||
\(515\) | 9.30086e8 | + | 3.38524e8i | 0.300053 | + | 0.109210i | ||||
\(516\) | 2.34001e9 | + | 1.88211e9i | 0.749798 | + | 0.603075i | ||||
\(517\) | −3.33136e9 | − | 2.79534e9i | −1.06024 | − | 0.889648i | ||||
\(518\) | 3.38788e8 | − | 1.92136e9i | 0.107096 | − | 0.607373i | ||||
\(519\) | −1.25540e9 | + | 2.60716e7i | −0.394183 | + | 0.00818620i | ||||
\(520\) | −4.34108e8 | + | 3.64260e8i | −0.135390 | + | 0.113606i | ||||
\(521\) | 2.17406e9 | + | 3.76559e9i | 0.673503 | + | 1.16654i | 0.976904 | + | 0.213679i | \(0.0685447\pi\) |
−0.303400 | + | 0.952863i | \(0.598122\pi\) | |||||||
\(522\) | −9.67238e8 | − | 1.52533e9i | −0.297637 | − | 0.469373i | ||||
\(523\) | −1.21067e9 | + | 2.09694e9i | −0.370058 | + | 0.640959i | −0.989574 | − | 0.144025i | \(-0.953995\pi\) |
0.619516 | + | 0.784984i | \(0.287329\pi\) | |||||||
\(524\) | 1.55289e8 | + | 8.80686e8i | 0.0471499 | + | 0.267400i | ||||
\(525\) | 2.08366e8 | + | 1.05332e9i | 0.0628449 | + | 0.317689i | ||||
\(526\) | −2.85951e9 | + | 1.04078e9i | −0.856724 | + | 0.311822i | ||||
\(527\) | −7.41284e9 | + | 2.69805e9i | −2.20621 | + | 0.802996i | ||||
\(528\) | −1.74126e8 | − | 8.80231e8i | −0.0514809 | − | 0.260242i | ||||
\(529\) | −3.49436e8 | − | 1.98175e9i | −0.102630 | − | 0.582042i | ||||
\(530\) | 9.03431e8 | − | 1.56479e9i | 0.263590 | − | 0.456552i | ||||
\(531\) | −1.54294e8 | + | 2.94879e8i | −0.0447216 | + | 0.0854697i | ||||
\(532\) | 1.62252e9 | + | 2.81029e9i | 0.467196 | + | 0.809207i | ||||
\(533\) | −2.75276e8 | + | 2.30984e8i | −0.0787450 | + | 0.0660749i | ||||
\(534\) | 1.05630e10 | − | 2.19368e8i | 3.00188 | − | 0.0623417i | ||||
\(535\) | −2.29403e8 | + | 1.30101e9i | −0.0647680 | + | 0.367317i | ||||
\(536\) | 4.17149e8 | + | 3.50029e8i | 0.117008 | + | 0.0981810i | ||||
\(537\) | 3.55826e9 | + | 2.86196e9i | 0.991579 | + | 0.797543i | ||||
\(538\) | −1.51041e9 | − | 5.49745e8i | −0.418175 | − | 0.152203i | ||||
\(539\) | −2.88705e9 | −0.794134 | ||||||||
\(540\) | 4.34004e8 | + | 1.79819e9i | 0.118608 | + | 0.491425i | ||||
\(541\) | 6.43755e9 | 1.74796 | 0.873978 | − | 0.485966i | \(-0.161532\pi\) | ||||
0.873978 | + | 0.485966i | \(0.161532\pi\) | |||||||
\(542\) | −5.65323e9 | − | 2.05761e9i | −1.52510 | − | 0.555092i | ||||
\(543\) | 3.97690e9 | − | 1.54172e9i | 1.06597 | − | 0.413243i | ||||
\(544\) | −3.52651e9 | − | 2.95909e9i | −0.939180 | − | 0.788066i | ||||
\(545\) | −1.69049e8 | + | 9.58723e8i | −0.0447326 | + | 0.253691i | ||||
\(546\) | 5.71756e8 | + | 9.44465e8i | 0.150327 | + | 0.248320i | ||||
\(547\) | −4.31221e9 | + | 3.61837e9i | −1.12653 | + | 0.945274i | −0.998916 | − | 0.0465499i | \(-0.985177\pi\) |
−0.127617 | + | 0.991823i | \(0.540733\pi\) | |||||||
\(548\) | −9.89041e8 | − | 1.71307e9i | −0.256733 | − | 0.444675i | ||||
\(549\) | 7.96174e8 | − | 3.27825e8i | 0.205355 | − | 0.0845549i | ||||
\(550\) | −2.68512e9 | + | 4.65076e9i | −0.688168 | + | 1.19194i | ||||
\(551\) | 3.47170e8 | + | 1.96890e9i | 0.0884121 | + | 0.501410i | ||||
\(552\) | 2.93874e9 | + | 1.00102e9i | 0.743661 | + | 0.253312i | ||||
\(553\) | 1.77250e9 | − | 6.45137e8i | 0.445705 | − | 0.162223i | ||||
\(554\) | −1.45428e9 | + | 5.29314e8i | −0.363382 | + | 0.132260i | ||||
\(555\) | −9.26429e8 | + | 8.10734e8i | −0.230031 | + | 0.201304i | ||||
\(556\) | 9.86198e8 | + | 5.59300e9i | 0.243334 | + | 1.38001i | ||||
\(557\) | −2.86703e9 | + | 4.96584e9i | −0.702973 | + | 1.21759i | 0.264445 | + | 0.964401i | \(0.414811\pi\) |
−0.967418 | + | 0.253185i | \(0.918522\pi\) | |||||||
\(558\) | 2.07712e9 | + | 9.46346e9i | 0.506106 | + | 2.30585i | ||||
\(559\) | −5.65471e8 | − | 9.79424e8i | −0.136921 | − | 0.237154i | ||||
\(560\) | −9.54984e7 | + | 8.01327e7i | −0.0229794 | + | 0.0192820i | ||||
\(561\) | −3.01223e9 | + | 5.47691e9i | −0.720309 | + | 1.30968i | ||||
\(562\) | 1.10236e9 | − | 6.25181e9i | 0.261967 | − | 1.48569i | ||||
\(563\) | −4.14449e9 | − | 3.47764e9i | −0.978794 | − | 0.821306i | 0.00511276 | − | 0.999987i | \(-0.498373\pi\) |
−0.983907 | + | 0.178681i | \(0.942817\pi\) | |||||||
\(564\) | 1.73336e9 | − | 1.11836e10i | 0.406829 | − | 2.62484i | ||||
\(565\) | −8.99268e8 | − | 3.27307e8i | −0.209759 | − | 0.0763459i | ||||
\(566\) | 1.01412e10 | 2.35088 | ||||||||
\(567\) | 1.52965e9 | − | 1.27343e8i | 0.352412 | − | 0.0293382i | ||||
\(568\) | −8.99476e9 | −2.05954 | ||||||||
\(569\) | 3.35730e9 | + | 1.22196e9i | 0.764007 | + | 0.278076i | 0.694488 | − | 0.719505i | \(-0.255631\pi\) |
0.0695197 | + | 0.997581i | \(0.477853\pi\) | |||||||
\(570\) | 4.93665e8 | − | 3.18510e9i | 0.111653 | − | 0.720379i | ||||
\(571\) | 5.58433e9 | + | 4.68581e9i | 1.25529 | + | 1.05332i | 0.996167 | + | 0.0874716i | \(0.0278787\pi\) |
0.259125 | + | 0.965844i | \(0.416566\pi\) | |||||||
\(572\) | −6.09153e8 | + | 3.45468e9i | −0.136094 | + | 0.771830i | ||||
\(573\) | 1.21080e9 | − | 2.20149e9i | 0.268862 | − | 0.488851i | ||||
\(574\) | −4.21457e8 | + | 3.53644e8i | −0.0930168 | + | 0.0780504i | ||||
\(575\) | −1.33489e9 | − | 2.31209e9i | −0.292824 | − | 0.507187i | ||||
\(576\) | −5.16688e9 | + | 4.71461e9i | −1.12655 | + | 1.02794i | ||||
\(577\) | 6.22876e7 | − | 1.07885e8i | 0.0134985 | − | 0.0233801i | −0.859197 | − | 0.511645i | \(-0.829036\pi\) |
0.872696 | + | 0.488264i | \(0.162370\pi\) | |||||||
\(578\) | −2.28522e9 | − | 1.29601e10i | −0.492244 | − | 2.79165i | ||||
\(579\) | −6.60042e8 | + | 5.77614e8i | −0.141318 | + | 0.123669i | ||||
\(580\) | −7.49237e8 | + | 2.72700e8i | −0.159449 | + | 0.0580346i | ||||
\(581\) | −5.90039e8 | + | 2.14757e8i | −0.124814 | + | 0.0454287i | ||||
\(582\) | 1.08169e10 | + | 3.68454e9i | 2.27443 | + | 0.774734i | ||||
\(583\) | −8.27228e8 | − | 4.69144e9i | −0.172896 | − | 0.980543i | ||||
\(584\) | 4.22188e9 | − | 7.31251e9i | 0.877123 | − | 1.51922i | ||||
\(585\) | 9.23844e7 | − | 6.90499e8i | 0.0190789 | − | 0.142599i | ||||
\(586\) | 1.16293e9 | + | 2.01425e9i | 0.238732 | + | 0.413496i | ||||
\(587\) | −1.90340e9 | + | 1.59714e9i | −0.388415 | + | 0.325919i | −0.815995 | − | 0.578058i | \(-0.803811\pi\) |
0.427580 | + | 0.903977i | \(0.359366\pi\) | |||||||
\(588\) | −3.89085e9 | − | 6.42716e9i | −0.789267 | − | 1.30376i | ||||
\(589\) | 1.86232e9 | − | 1.05618e10i | 0.375536 | − | 2.12977i | ||||
\(590\) | 1.77155e8 | + | 1.48651e8i | 0.0355117 | + | 0.0297979i | ||||
\(591\) | −2.20756e9 | + | 8.55800e8i | −0.439902 | + | 0.170536i | ||||
\(592\) | 1.46030e9 | + | 5.31504e8i | 0.289278 | + | 0.105288i | ||||
\(593\) | 3.85909e9 | 0.759964 | 0.379982 | − | 0.924994i | \(-0.375930\pi\) | ||||
0.379982 | + | 0.924994i | \(0.375930\pi\) | |||||||
\(594\) | 6.17670e9 | + | 4.55899e9i | 1.20922 | + | 0.892516i | ||||
\(595\) | 8.68425e8 | 0.169014 | ||||||||
\(596\) | −4.53817e8 | − | 1.65176e8i | −0.0878049 | − | 0.0319584i | ||||
\(597\) | −2.83090e8 | − | 2.27694e8i | −0.0544520 | − | 0.0437966i | ||||
\(598\) | −2.10291e9 | − | 1.76455e9i | −0.402130 | − | 0.337427i | ||||
\(599\) | −6.12552e8 | + | 3.47396e9i | −0.116453 | + | 0.660436i | 0.869568 | + | 0.493813i | \(0.164397\pi\) |
−0.986021 | + | 0.166623i | \(0.946714\pi\) | |||||||
\(600\) | −5.95092e9 | + | 1.23586e8i | −1.12475 | + | 0.0233582i | ||||
\(601\) | −6.34144e9 | + | 5.32110e9i | −1.19159 | + | 0.999864i | −0.191761 | + | 0.981442i | \(0.561420\pi\) |
−0.999830 | + | 0.0184225i | \(0.994136\pi\) | |||||||
\(602\) | −8.65755e8 | − | 1.49953e9i | −0.161736 | − | 0.280135i | ||||
\(603\) | −6.68858e8 | + | 2.77931e7i | −0.124229 | + | 0.00516209i | ||||
\(604\) | 5.20377e8 | − | 9.01319e8i | 0.0960923 | − | 0.166437i | ||||
\(605\) | 4.83653e7 | + | 2.74293e8i | 0.00887952 | + | 0.0503583i | ||||
\(606\) | −2.33527e9 | − | 1.18051e10i | −0.426268 | − | 2.15484i | ||||
\(607\) | 8.27765e9 | − | 3.01282e9i | 1.50227 | − | 0.546780i | 0.545620 | − | 0.838033i | \(-0.316294\pi\) |
0.956646 | + | 0.291253i | \(0.0940720\pi\) | |||||||
\(608\) | 5.88116e9 | − | 2.14057e9i | 1.06121 | − | 0.386248i | ||||
\(609\) | 1.28389e8 | + | 6.49022e8i | 0.0230339 | + | 0.116439i | ||||
\(610\) | −1.03895e8 | − | 5.89217e8i | −0.0185327 | − | 0.105104i | ||||
\(611\) | −2.13103e9 | + | 3.69105e9i | −0.377960 | + | 0.654645i | ||||
\(612\) | −1.62523e10 | + | 6.75330e8i | −2.86605 | + | 0.119093i | ||||
\(613\) | −2.12297e9 | − | 3.67710e9i | −0.372248 | − | 0.644753i | 0.617663 | − | 0.786443i | \(-0.288080\pi\) |
−0.989911 | + | 0.141690i | \(0.954746\pi\) | |||||||
\(614\) | 7.87885e9 | − | 6.61114e9i | 1.37364 | − | 1.15262i | ||||
\(615\) | 3.47083e8 | − | 7.20806e6i | 0.0601687 | − | 0.00124955i | ||||
\(616\) | −3.97218e8 | + | 2.25273e9i | −0.0684693 | + | 0.388309i | ||||
\(617\) | 1.16433e9 | + | 9.76986e8i | 0.199561 | + | 0.167452i | 0.737092 | − | 0.675792i | \(-0.236198\pi\) |
−0.537531 | + | 0.843244i | \(0.680643\pi\) | |||||||
\(618\) | 8.32965e9 | + | 6.69967e9i | 1.41960 | + | 1.14181i | ||||
\(619\) | 3.05617e9 | + | 1.11236e9i | 0.517917 | + | 0.188506i | 0.587735 | − | 0.809053i | \(-0.300020\pi\) |
−0.0698180 | + | 0.997560i | \(0.522242\pi\) | |||||||
\(620\) | 4.27707e9 | 0.720734 | ||||||||
\(621\) | −3.49817e9 | + | 1.52607e9i | −0.586165 | + | 0.255714i | ||||
\(622\) | −4.57198e9 | −0.761794 | ||||||||
\(623\) | −3.63670e9 | − | 1.32365e9i | −0.602559 | − | 0.219314i | ||||
\(624\) | −8.19938e8 | + | 3.17864e8i | −0.135094 | + | 0.0523715i | ||||
\(625\) | 3.52727e9 | + | 2.95973e9i | 0.577908 | + | 0.484923i | ||||
\(626\) | 9.31867e8 | − | 5.28488e9i | 0.151825 | − | 0.861043i | ||||
\(627\) | −4.40080e9 | − | 7.26952e9i | −0.713009 | − | 1.17779i | ||||
\(628\) | −9.27848e9 | + | 7.78557e9i | −1.49492 | + | 1.25439i | ||||
\(629\) | −5.41271e9 | − | 9.37509e9i | −0.867237 | − | 1.50210i | ||||
\(630\) | 1.41444e8 | − | 1.05718e9i | 0.0225367 | − | 0.168444i | ||||
\(631\) | −6.16341e8 | + | 1.06753e9i | −0.0976604 | + | 0.169153i | −0.910716 | − | 0.413034i | \(-0.864469\pi\) |
0.813055 | + | 0.582186i | \(0.197803\pi\) | |||||||
\(632\) | 1.81574e9 | + | 1.02976e10i | 0.286117 | + | 1.62265i | ||||
\(633\) | −1.03816e10 | − | 3.53626e9i | −1.62686 | − | 0.554154i | ||||
\(634\) | 2.08411e9 | − | 7.58555e8i | 0.324794 | − | 0.118216i | ||||
\(635\) | −1.01544e9 | + | 3.69590e8i | −0.157379 | + | 0.0572813i | ||||
\(636\) | 9.32927e9 | − | 8.16420e9i | 1.43796 | − | 1.25839i | ||||
\(637\) | 4.91333e8 | + | 2.78649e9i | 0.0753162 | + | 0.427139i | ||||
\(638\) | −1.65449e9 | + | 2.86565e9i | −0.252227 | + | 0.436869i | ||||
\(639\) | 8.16823e9 | − | 7.45325e9i | 1.23844 | − | 1.13004i | ||||
\(640\) | 1.71374e9 | + | 2.96828e9i | 0.258413 | + | 0.447584i | ||||
\(641\) | 2.81638e9 | − | 2.36323e9i | 0.422366 | − | 0.354407i | −0.406696 | − | 0.913563i | \(-0.633319\pi\) |
0.829062 | + | 0.559156i | \(0.188875\pi\) | |||||||
\(642\) | −6.87577e9 | + | 1.25017e10i | −1.02553 | + | 1.86464i | ||||
\(643\) | −4.75458e8 | + | 2.69646e9i | −0.0705300 | + | 0.399996i | 0.929021 | + | 0.370027i | \(0.120652\pi\) |
−0.999551 | + | 0.0299682i | \(0.990459\pi\) | |||||||
\(644\) | −2.04539e9 | − | 1.71628e9i | −0.301769 | − | 0.253215i | ||||
\(645\) | −1.67343e8 | + | 1.07969e9i | −0.0245555 | + | 0.158431i | ||||
\(646\) | 2.66331e10 | + | 9.69366e9i | 3.88694 | + | 1.41473i | ||||
\(647\) | −2.19801e9 | −0.319055 | −0.159528 | − | 0.987193i | \(-0.550997\pi\) | ||||
−0.159528 | + | 0.987193i | \(0.550997\pi\) | |||||||
\(648\) | −7.77266e8 | + | 8.47334e9i | −0.112217 | + | 1.22333i | ||||
\(649\) | 6.09719e8 | 0.0875535 | ||||||||
\(650\) | 4.94574e9 | + | 1.80010e9i | 0.706374 | + | 0.257099i | ||||
\(651\) | 5.43577e8 | − | 3.50713e9i | 0.0772197 | − | 0.498217i | ||||
\(652\) | 2.78312e9 | + | 2.33531e9i | 0.393247 | + | 0.329973i | ||||
\(653\) | 9.12954e8 | − | 5.17762e9i | 0.128308 | − | 0.727669i | −0.850980 | − | 0.525198i | \(-0.823991\pi\) |
0.979288 | − | 0.202472i | \(-0.0648974\pi\) | |||||||
\(654\) | −5.06681e9 | + | 9.21258e9i | −0.708293 | + | 1.28783i | ||||
\(655\) | −2.49242e8 | + | 2.09139e8i | −0.0346559 | + | 0.0290797i | ||||
\(656\) | −2.19112e8 | − | 3.79513e8i | −0.0303042 | − | 0.0524883i | ||||
\(657\) | 2.22537e9 | + | 1.01389e10i | 0.306142 | + | 1.39480i | ||||
\(658\) | −3.26268e9 | + | 5.65113e9i | −0.446461 | + | 0.773293i | ||||
\(659\) | 1.58543e9 | + | 8.99142e9i | 0.215798 | + | 1.22385i | 0.879516 | + | 0.475870i | \(0.157867\pi\) |
−0.663717 | + | 0.747983i | \(0.731022\pi\) | |||||||
\(660\) | 2.55032e9 | − | 2.23183e9i | 0.345295 | − | 0.302174i | ||||
\(661\) | −1.14174e10 | + | 4.15560e9i | −1.53767 | + | 0.559666i | −0.965485 | − | 0.260458i | \(-0.916126\pi\) |
−0.572185 | + | 0.820125i | \(0.693904\pi\) | |||||||
\(662\) | −1.18849e9 | + | 4.32573e8i | −0.159218 | + | 0.0579504i | ||||
\(663\) | 5.79878e9 | + | 1.97523e9i | 0.772750 | + | 0.263220i | ||||
\(664\) | −6.04433e8 | − | 3.42791e9i | −0.0801234 | − | 0.454403i | ||||
\(665\) | −5.90320e8 | + | 1.02246e9i | −0.0778416 | + | 0.134826i | ||||
\(666\) | −1.22944e10 | + | 5.06221e9i | −1.61267 | + | 0.664018i | ||||
\(667\) | −8.22516e8 | − | 1.42464e9i | −0.107326 | − | 0.185894i | ||||
\(668\) | −1.58245e10 | + | 1.32783e10i | −2.05406 | + | 1.72356i | ||||
\(669\) | 4.01009e9 | + | 6.62413e9i | 0.517801 | + | 0.855337i | ||||
\(670\) | −8.07770e7 | + | 4.58109e8i | −0.0103759 | + | 0.0588446i | ||||
\(671\) | −1.20839e9 | − | 1.01396e9i | −0.154411 | − | 0.129566i | ||||
\(672\) | 1.93106e9 | − | 7.48611e8i | 0.245473 | − | 0.0951621i | ||||
\(673\) | 2.89680e9 | + | 1.05435e9i | 0.366325 | + | 0.133331i | 0.518623 | − | 0.855003i | \(-0.326445\pi\) |
−0.152298 | + | 0.988335i | \(0.548667\pi\) | |||||||
\(674\) | −2.30598e9 | −0.290099 | ||||||||
\(675\) | 5.30168e9 | − | 5.04329e9i | 0.663515 | − | 0.631176i | ||||
\(676\) | −1.05525e10 | −1.31384 | ||||||||
\(677\) | 6.28818e9 | + | 2.28871e9i | 0.778869 | + | 0.283485i | 0.700701 | − | 0.713455i | \(-0.252871\pi\) |
0.0781680 | + | 0.996940i | \(0.475093\pi\) | |||||||
\(678\) | −8.05366e9 | − | 6.47769e9i | −0.992406 | − | 0.798208i | ||||
\(679\) | −3.20652e9 | − | 2.69059e9i | −0.393088 | − | 0.329840i | ||||
\(680\) | −8.35959e8 | + | 4.74096e9i | −0.101954 | + | 0.578209i | ||||
\(681\) | −6.18265e9 | + | 1.28398e8i | −0.750171 | + | 0.0155792i | ||||
\(682\) | 1.35975e10 | − | 1.14097e10i | 1.64140 | − | 1.37730i | ||||
\(683\) | 1.96692e9 | + | 3.40681e9i | 0.236219 | + | 0.409143i | 0.959626 | − | 0.281278i | \(-0.0907585\pi\) |
−0.723407 | + | 0.690421i | \(0.757425\pi\) | |||||||
\(684\) | 1.02525e10 | − | 1.95942e10i | 1.22500 | − | 2.34115i | ||||
\(685\) | 3.59842e8 | − | 6.23265e8i | 0.0427755 | − | 0.0740894i | ||||
\(686\) | 1.61201e9 | + | 9.14219e9i | 0.190649 | + | 1.08122i | ||||
\(687\) | −1.87604e9 | − | 9.48364e9i | −0.220747 | − | 1.11590i | ||||
\(688\) | 1.29601e9 | − | 4.71708e8i | 0.151722 | − | 0.0552222i | ||||
\(689\) | −4.38725e9 | + | 1.59683e9i | −0.511005 | + | 0.185991i | ||||
\(690\) | 5.14650e8 | + | 2.60162e9i | 0.0596404 | + | 0.301490i | ||||
\(691\) | −1.49778e9 | − | 8.49436e9i | −0.172694 | − | 0.979394i | −0.940772 | − | 0.339039i | \(-0.889898\pi\) |
0.768079 | − | 0.640355i | \(-0.221213\pi\) | |||||||
\(692\) | −2.99331e9 | + | 5.18457e9i | −0.343385 | + | 0.594760i | ||||
\(693\) | −1.50594e9 | − | 2.37487e9i | −0.171887 | − | 0.271065i | ||||
\(694\) | −1.20950e10 | − | 2.09492e10i | −1.37356 | − | 2.37908i | ||||
\(695\) | −1.58287e9 | + | 1.32819e9i | −0.178854 | + | 0.150076i | ||||
\(696\) | −3.66677e9 | + | 7.61498e7i | −0.412241 | + | 0.00856123i | ||||
\(697\) | −5.30097e8 | + | 3.00633e9i | −0.0592981 | + | 0.336296i | ||||
\(698\) | −1.42919e10 | − | 1.19923e10i | −1.59073 | − | 1.33478i | ||||
\(699\) | 5.92638e9 | + | 4.76668e9i | 0.656325 | + | 0.527893i | ||||
\(700\) | 4.81046e9 | + | 1.75086e9i | 0.530082 | + | 0.192934i | ||||
\(701\) | 8.27163e9 | 0.906939 | 0.453469 | − | 0.891272i | \(-0.350186\pi\) | ||||
0.453469 | + | 0.891272i | \(0.350186\pi\) | |||||||
\(702\) | 3.34901e9 | − | 6.73743e9i | 0.365373 | − | 0.735046i | ||||
\(703\) | 1.47174e10 | 1.59767 | ||||||||
\(704\) | 1.20417e10 | + | 4.38280e9i | 1.30071 | + | 0.473421i | ||||
\(705\) | 3.83910e9 | − | 1.48830e9i | 0.412636 | − | 0.159966i | ||||
\(706\) | −8.22742e9 | − | 6.90362e9i | −0.879928 | − | 0.738347i | ||||
\(707\) | −7.65447e8 | + | 4.34107e9i | −0.0814606 | + | 0.461986i | ||||
\(708\) | 8.21713e8 | + | 1.35736e9i | 0.0870169 | + | 0.143740i | ||||
\(709\) | −3.19066e9 | + | 2.67728e9i | −0.336216 | + | 0.282119i | −0.795227 | − | 0.606312i | \(-0.792648\pi\) |
0.459011 | + | 0.888431i | \(0.348204\pi\) | |||||||
\(710\) | −3.84185e9 | − | 6.65427e9i | −0.402843 | − | 0.697744i | ||||
\(711\) | −1.01817e10 | − | 7.84675e9i | −1.06237 | − | 0.818741i | ||||
\(712\) | 1.07269e10 | − | 1.85795e10i | 1.11377 | − | 1.92910i | ||||
\(713\) | 1.53235e9 | + | 8.69037e9i | 0.158323 | + | 0.897893i | ||||
\(714\) | 8.87812e9 | + | 3.02414e9i | 0.912804 | + | 0.310926i | ||||
\(715\) | −1.19933e9 | + | 4.36522e8i | −0.122707 | + | 0.0446616i | ||||
\(716\) | 2.04581e10 | − | 7.44614e9i | 2.08291 | − | 0.758116i | ||||
\(717\) | −9.48915e9 | + | 8.30411e9i | −0.961413 | + | 0.841349i | ||||
\(718\) | −3.33194e9 | − | 1.88964e10i | −0.335940 | − | 1.90521i | ||||
\(719\) | 5.06255e9 | − | 8.76859e9i | 0.507947 | − | 0.879790i | −0.492011 | − | 0.870589i | \(-0.663738\pi\) |
0.999958 | − | 0.00920063i | \(-0.00292869\pi\) | |||||||
\(720\) | 8.09706e8 | + | 2.57174e8i | 0.0808469 | + | 0.0256781i | ||||
\(721\) | −1.95782e9 | − | 3.39105e9i | −0.194536 | − | 0.336947i | ||||
\(722\) | −1.66892e10 | + | 1.40039e10i | −1.65028 | + | 1.38475i | ||||
\(723\) | −6.36368e9 | + | 1.15706e10i | −0.626217 | + | 1.13860i | ||||
\(724\) | 3.53121e9 | − | 2.00265e10i | 0.345810 | − | 1.96119i | ||||
\(725\) | 2.41605e9 | + | 2.02731e9i | 0.235464 | + | 0.197577i | ||||
\(726\) | −4.60727e8 | + | 2.97259e9i | −0.0446854 | + | 0.288308i | ||||
\(727\) | 1.40807e10 | + | 5.12495e9i | 1.35911 | + | 0.494674i | 0.915778 | − | 0.401685i | \(-0.131575\pi\) |
0.443328 | + | 0.896359i | \(0.353798\pi\) | |||||||
\(728\) | 2.24187e9 | 0.215353 | ||||||||
\(729\) | −6.31535e9 | − | 8.33879e9i | −0.603741 | − | 0.797180i | ||||
\(730\) | 7.21300e9 | 0.686256 | ||||||||
\(731\) | −9.02812e9 | − | 3.28597e9i | −0.854843 | − | 0.311137i | ||||
\(732\) | 6.28745e8 | − | 4.05663e9i | 0.0592497 | − | 0.382276i | ||||
\(733\) | 1.17920e9 | + | 9.89468e8i | 0.110592 | + | 0.0927978i | 0.696407 | − | 0.717647i | \(-0.254781\pi\) |
−0.585815 | + | 0.810445i | \(0.699225\pi\) | |||||||
\(734\) | −2.59517e9 | + | 1.47179e10i | −0.242231 | + | 1.37376i | ||||
\(735\) | 1.31730e9 | − | 2.39515e9i | 0.122371 | − | 0.222498i | ||||
\(736\) | −3.94487e9 | + | 3.31014e9i | −0.364721 | + | 0.306037i | ||||
\(737\) | 6.13221e8 | + | 1.06213e9i | 0.0564262 | + | 0.0977331i | ||||
\(738\) | 3.57342e9 | + | 1.13497e9i | 0.327255 | + | 0.103941i | ||||
\(739\) | −9.37312e9 | + | 1.62347e10i | −0.854336 | + | 1.47975i | 0.0229236 | + | 0.999737i | \(0.492703\pi\) |
−0.877260 | + | 0.480016i | \(0.840631\pi\) | |||||||
\(740\) | 1.01921e9 | + | 5.78021e9i | 0.0924594 | + | 0.524363i | ||||
\(741\) | −6.26737e9 | + | 5.48468e9i | −0.565876 | + | 0.495208i | ||||
\(742\) | −6.71703e9 | + | 2.44480e9i | −0.603620 | + | 0.219700i | ||||
\(743\) | 1.24688e10 | − | 4.53828e9i | 1.11523 | − | 0.405910i | 0.282320 | − | 0.959320i | \(-0.408896\pi\) |
0.832909 | + | 0.553410i | \(0.186674\pi\) | |||||||
\(744\) | 1.86231e10 | + | 6.34355e9i | 1.65786 | + | 0.564713i | ||||
\(745\) | −3.05115e7 | − | 1.73039e8i | −0.00270344 | − | 0.0153319i | ||||
\(746\) | −6.51512e9 | + | 1.12845e10i | −0.574562 | + | 0.995170i | ||||
\(747\) | 3.38933e9 | + | 2.61207e9i | 0.297503 | + | 0.229278i | ||||
\(748\) | 1.49004e10 | + | 2.58082e10i | 1.30179 | + | 2.25477i | ||||
\(749\) | 4.00358e9 | − | 3.35940e9i | 0.348147 | − | 0.292130i | ||||
\(750\) | −5.50857e9 | − | 9.09941e9i | −0.476787 | − | 0.787588i | ||||
\(751\) | −2.07032e9 | + | 1.17414e10i | −0.178360 | + | 1.01153i | 0.755833 | + | 0.654765i | \(0.227232\pi\) |
−0.934193 | + | 0.356768i | \(0.883879\pi\) | |||||||
\(752\) | −3.98157e9 | − | 3.34094e9i | −0.341423 | − | 0.286488i | ||||
\(753\) | 1.24503e10 | − | 4.82659e9i | 1.06267 | − | 0.411962i | ||||
\(754\) | 3.04741e9 | + | 1.10917e9i | 0.258899 | + | 0.0942317i | ||||
\(755\) | 3.78657e8 | 0.0320207 | ||||||||
\(756\) | 3.25740e9 | − | 6.55314e9i | 0.274186 | − | 0.551598i | ||||
\(757\) | −2.03793e10 | −1.70747 | −0.853737 | − | 0.520705i | \(-0.825669\pi\) | ||||
−0.853737 | + | 0.520705i | \(0.825669\pi\) | |||||||
\(758\) | −6.13176e9 | − | 2.23178e9i | −0.511379 | − | 0.186127i | ||||
\(759\) | 5.44845e9 | + | 4.38228e9i | 0.452300 | + | 0.363792i | ||||
\(760\) | −5.01365e9 | − | 4.20696e9i | −0.414292 | − | 0.347633i | ||||
\(761\) | 1.26728e9 | − | 7.18712e9i | 0.104238 | − | 0.591165i | −0.887284 | − | 0.461224i | \(-0.847410\pi\) |
0.991522 | − | 0.129940i | \(-0.0414785\pi\) | |||||||
\(762\) | −1.16681e10 | + | 2.42318e8i | −0.955343 | + | 0.0198401i | ||||
\(763\) | 2.95027e9 | − | 2.47557e9i | 0.240451 | − | 0.201762i | ||||
\(764\) | −5.98934e9 | − | 1.03738e10i | −0.485906 | − | 0.841614i | ||||
\(765\) | −3.16932e9 | − | 4.99801e9i | −0.255947 | − | 0.403628i | ||||
\(766\) | 3.18417e9 | − | 5.51514e9i | 0.255974 | − | 0.443359i | ||||
\(767\) | −1.03765e8 | − | 5.88482e8i | −0.00830363 | − | 0.0470922i | ||||
\(768\) | 3.46827e9 | + | 1.75325e10i | 0.276279 | + | 1.39663i | ||||
\(769\) | 5.66995e9 | − | 2.06369e9i | 0.449611 | − | 0.163645i | −0.107283 | − | 0.994228i | \(-0.534215\pi\) |
0.556894 | + | 0.830584i | \(0.311993\pi\) | |||||||
\(770\) | −1.83622e9 | + | 6.68329e8i | −0.144946 | + | 0.0527561i | ||||
\(771\) | −2.27023e9 | − | 1.14763e10i | −0.178393 | − | 0.901802i | ||||
\(772\) | 7.26142e8 | + | 4.11815e9i | 0.0568016 | + | 0.322138i | ||||
\(773\) | 5.62543e9 | − | 9.74352e9i | 0.438053 | − | 0.758731i | −0.559486 | − | 0.828840i | \(-0.689001\pi\) |
0.997539 | + | 0.0701090i | \(0.0223347\pi\) | |||||||
\(774\) | −5.47062e9 | + | 1.04552e10i | −0.424075 | + | 0.810472i | ||||
\(775\) | −8.45931e9 | − | 1.46520e10i | −0.652799 | − | 1.13068i | ||||
\(776\) | 1.77753e10 | − | 1.49152e10i | 1.36553 | − | 1.14581i | ||||
\(777\) | 4.86922e9 | − | 1.01122e8i | 0.372380 | − | 0.00773340i | ||||
\(778\) | −6.53333e9 | + | 3.70524e10i | −0.497400 | + | 2.82090i | ||||
\(779\) | −3.17925e9 | − | 2.66771e9i | −0.240959 | − | 0.202189i | ||||
\(780\) | −2.58812e9 | − | 2.08166e9i | −0.195278 | − | 0.157065i | ||||
\(781\) | −1.90364e10 | − | 6.92870e9i | −1.42990 | − | 0.520443i | ||||
\(782\) | −2.33205e10 | −1.74387 | ||||||||
\(783\) | 3.26673e9 | − | 3.10752e9i | 0.243191 | − | 0.231338i | ||||
\(784\) | −3.45054e9 | −0.255730 | ||||||||
\(785\) | −4.14101e9 | − | 1.50720e9i | −0.305536 | − | 0.111206i | ||||
\(786\) | −3.27636e9 | + | 1.27014e9i | −0.240665 | + | 0.0932980i | ||||
\(787\) | 6.93755e9 | + | 5.82129e9i | 0.507335 | + | 0.425704i | 0.860190 | − | 0.509974i | \(-0.170345\pi\) |
−0.352856 | + | 0.935678i | \(0.614789\pi\) | |||||||
\(788\) | −1.96016e9 | + | 1.11166e10i | −0.142708 | + | 0.809338i | ||||
\(789\) | −3.93390e9 | − | 6.49828e9i | −0.285137 | − | 0.471009i | ||||
\(790\) | −6.84254e9 | + | 5.74157e9i | −0.493767 | + | 0.414320i | ||||
\(791\) | 1.89295e9 | + | 3.27869e9i | 0.135995 | + | 0.235550i | ||||
\(792\) | 1.44147e10 | − | 5.93526e9i | 1.03102 | − | 0.424524i | ||||
\(793\) | −7.72993e8 | + | 1.33886e9i | −0.0550452 | + | 0.0953410i | ||||
\(794\) | −7.77810e9 | − | 4.41118e10i | −0.551445 | − | 3.12740i | ||||
\(795\) | 4.26955e9 | + | 1.45433e9i | 0.301368 | + | 0.102654i | ||||
\(796\) | −1.62762e9 | + | 5.92404e8i | −0.114382 | + | 0.0416315i | ||||
\(797\) | 1.27695e10 | − | 4.64772e9i | 0.893450 | − | 0.325189i | 0.145825 | − | 0.989310i | \(-0.453416\pi\) |
0.747625 | + | 0.664121i | \(0.231194\pi\) | |||||||
\(798\) | −9.59555e9 | + | 8.39723e9i | −0.668436 | + | 0.584960i | ||||
\(799\) | 6.28725e9 | + | 3.56568e10i | 0.436061 | + | 2.47303i | ||||
\(800\) | 4.93659e9 | − | 8.55043e9i | 0.340889 | − | 0.590436i | ||||
\(801\) | 5.65419e9 | + | 2.57608e10i | 0.388738 | + | 1.77111i | ||||
\(802\) | 1.28584e10 | + | 2.22715e10i | 0.880193 | + | 1.52454i | ||||
\(803\) | 1.45680e10 | − | 1.22240e10i | 0.992878 | − | 0.833123i | ||||
\(804\) | −1.53809e9 | + | 2.79658e9i | −0.104372 | + | 0.189772i | ||||
\(805\) | 1.68690e8 | − | 9.56690e8i | 0.0113974 | − | 0.0646377i | ||||
\(806\) | −1.33264e10 | − | 1.11821e10i | −0.896476 | − | 0.752233i | ||||
\(807\) | 6.14552e8 | − | 3.96506e9i | 0.0411625 | − | 0.265578i | ||||
\(808\) | −2.29622e10 | − | 8.35756e9i | −1.53135 | − | 0.557365i | ||||
\(809\) | −2.34699e9 | −0.155844 | −0.0779221 | − | 0.996959i | \(-0.524829\pi\) | ||||
−0.0779221 | + | 0.996959i | \(0.524829\pi\) | |||||||
\(810\) | −6.60052e9 | + | 3.04412e9i | −0.436396 | + | 0.201263i | ||||
\(811\) | 2.64352e10 | 1.74024 | 0.870122 | − | 0.492836i | \(-0.164040\pi\) | ||||
0.870122 | + | 0.492836i | \(0.164040\pi\) | |||||||
\(812\) | 2.96405e9 | + | 1.07883e9i | 0.194285 | + | 0.0707140i | ||||
\(813\) | 2.30017e9 | − | 1.48406e10i | 0.150122 | − | 0.968577i | ||||
\(814\) | 1.86597e10 | + | 1.56574e10i | 1.21261 | + | 1.01750i | ||||
\(815\) | −2.29533e8 | + | 1.30175e9i | −0.0148523 | + | 0.0842316i | ||||
\(816\) | −3.60016e9 | + | 6.54589e9i | −0.231956 | + | 0.421748i | ||||
\(817\) | 1.00058e10 | − | 8.39585e9i | 0.641910 | − | 0.538626i | ||||
\(818\) | 2.38241e10 | + | 4.12646e10i | 1.52188 | + | 2.63597i | ||||
\(819\) | −2.03586e9 | + | 1.85766e9i | −0.129496 | + | 0.118161i | ||||
\(820\) | 8.27566e8 | − | 1.43339e9i | 0.0524148 | − | 0.0907851i | ||||
\(821\) | −4.27427e9 | − | 2.42406e10i | −0.269563 | − | 1.52877i | −0.755718 | − | 0.654897i | \(-0.772712\pi\) |
0.486154 | − | 0.873873i | \(-0.338399\pi\) | |||||||
\(822\) | 5.84917e9 | − | 5.11871e9i | 0.367319 | − | 0.321447i | ||||
\(823\) | −7.51923e9 | + | 2.73678e9i | −0.470191 | + | 0.171135i | −0.566239 | − | 0.824241i | \(-0.691602\pi\) |
0.0960481 | + | 0.995377i | \(0.469380\pi\) | |||||||
\(824\) | 2.03973e10 | − | 7.42400e9i | 1.27007 | − | 0.462267i | ||||
\(825\) | −1.26897e10 | − | 4.32246e9i | −0.786796 | − | 0.268005i | ||||
\(826\) | −1.58868e8 | − | 9.00985e8i | −0.00980858 | − | 0.0556272i | ||||
\(827\) | 2.23801e9 | − | 3.87635e9i | 0.137592 | − | 0.238317i | −0.788993 | − | 0.614403i | \(-0.789397\pi\) |
0.926585 | + | 0.376086i | \(0.122730\pi\) | |||||||
\(828\) | −2.41301e9 | + | 1.80353e10i | −0.147725 | + | 1.10412i | ||||
\(829\) | −1.23756e10 | − | 2.14351e10i | −0.754440 | − | 1.30673i | −0.945652 | − | 0.325180i | \(-0.894575\pi\) |
0.191212 | − | 0.981549i | \(-0.438758\pi\) | |||||||
\(830\) | 2.27778e9 | − | 1.91129e9i | 0.138273 | − | 0.116025i | ||||
\(831\) | −2.00069e9 | − | 3.30487e9i | −0.120942 | − | 0.199779i | ||||
\(832\) | 2.18083e9 | − | 1.23681e10i | 0.131278 | − | 0.744513i | ||||
\(833\) | 1.84133e10 | + | 1.54506e10i | 1.10376 | + | 0.926163i | ||||
\(834\) | −2.08073e10 | + | 8.06631e9i | −1.24204 | + | 0.481497i | ||||
\(835\) | −7.06252e9 | − | 2.57055e9i | −0.419814 | − | 0.152800i | ||||
\(836\) | −4.05147e10 | −2.39823 | ||||||||
\(837\) | −2.21682e10 | + | 9.67086e9i | −1.30675 | + | 0.570067i | ||||
\(838\) | −9.04603e9 | −0.531011 | ||||||||
\(839\) | 8.11402e8 | + | 2.95326e8i | 0.0474318 | + | 0.0172638i | 0.365627 | − | 0.930761i | \(-0.380855\pi\) |
−0.318195 | + | 0.948025i | \(0.603077\pi\) | |||||||
\(840\) | −1.68766e9 | − | 1.35742e9i | −0.0982446 | − | 0.0790197i | ||||
\(841\) | −1.17255e10 | − | 9.83884e9i | −0.679743 | − | 0.570372i | ||||
\(842\) | −4.17301e9 | + | 2.36663e10i | −0.240911 | + | 1.36628i | ||||
\(843\) | 1.58436e10 | − | 3.29033e8i | 0.910875 | − | 0.0189166i | ||||
\(844\) | −4.00553e10 | + | 3.36104e10i | −2.29330 | + | 1.92431i | ||||
\(845\) | −1.91965e9 | − | 3.32493e9i | −0.109452 | − | 0.189577i | ||||
\(846\) | 4.44308e10 | − | 1.84623e9i | 2.52283 | − | 0.104831i | ||||
\(847\) | 5.50934e8 | − | 9.54246e8i | 0.0311536 | − | 0.0539596i | ||||
\(848\) | −9.88686e8 | − | 5.60712e9i | −0.0556766 | − | 0.315758i | ||||
\(849\) | 4.91264e9 | + | 2.48340e10i | 0.275511 | + | 1.39274i | ||||
\(850\) | 4.20148e10 | − | 1.52921e10i | 2.34658 | − | 0.854087i | ||||
\(851\) | −1.13794e10 | + | 4.14175e9i | −0.632943 | + | 0.230373i | ||||
\(852\) | −1.02306e10 | − | 5.17168e10i | −0.566710 | − | 2.86479i | ||||
\(853\) | −4.65485e9 | − | 2.63990e10i | −0.256794 | − | 1.45635i | −0.791427 | − | 0.611264i | \(-0.790661\pi\) |
0.534633 | − | 0.845084i | \(-0.320450\pi\) | |||||||
\(854\) | −1.18348e9 | + | 2.04984e9i | −0.0650216 | + | 0.112621i | ||||
\(855\) | 8.03892e9 | − | 3.34041e8i | 0.439862 | − | 0.0182776i | ||||
\(856\) | 1.44860e10 | + | 2.50904e10i | 0.789386 | + | 1.36726i | ||||
\(857\) | 2.94809e9 | − | 2.47374e9i | 0.159996 | − | 0.134252i | −0.559275 | − | 0.828982i | \(-0.688921\pi\) |
0.719271 | + | 0.694730i | \(0.244476\pi\) | |||||||
\(858\) | −1.37812e10 | + | 2.86201e8i | −0.744872 | + | 0.0154691i | ||||
\(859\) | −3.86176e8 | + | 2.19012e9i | −0.0207879 | + | 0.117894i | −0.993436 | − | 0.114390i | \(-0.963509\pi\) |
0.972648 | + | 0.232284i | \(0.0746198\pi\) | |||||||
\(860\) | 3.99036e9 | + | 3.34831e9i | 0.213928 | + | 0.179507i | ||||
\(861\) | −1.07018e9 | − | 8.60763e8i | −0.0571407 | − | 0.0459592i | ||||
\(862\) | −4.20291e10 | − | 1.52973e10i | −2.23499 | − | 0.813468i | ||||
\(863\) | 9.14093e9 | 0.484119 | 0.242060 | − | 0.970261i | \(-0.422177\pi\) | ||||
0.242060 | + | 0.970261i | \(0.422177\pi\) | |||||||
\(864\) | −1.13559e10 | − | 8.38170e9i | −0.598993 | − | 0.442114i | ||||
\(865\) | −2.17811e9 | −0.114426 | ||||||||
\(866\) | −3.86539e9 | − | 1.40689e9i | −0.202246 | − | 0.0736117i | ||||
\(867\) | 3.06302e10 | − | 1.18743e10i | 1.59618 | − | 0.618789i | ||||
\(868\) | −1.29618e10 | − | 1.08763e10i | −0.672740 | − | 0.564496i | ||||
\(869\) | −4.08944e9 | + | 2.31923e10i | −0.211395 | + | 1.19888i | ||||
\(870\) | −1.62249e9 | − | 2.68013e9i | −0.0835342 | − | 0.137987i | ||||
\(871\) | 9.20774e8 | − | 7.72621e8i | 0.0472160 | − | 0.0396190i | ||||
\(872\) | 1.06748e10 | + | 1.84893e10i | 0.545197 | + | 0.944309i | ||||
\(873\) | −3.78284e9 | + | 2.82737e10i | −0.192428 | + | 1.43824i | ||||
\(874\) | 1.58524e10 | − | 2.74571e10i | 0.803163 | − | 1.39112i | ||||
\(875\) | 6.76590e8 | + | 3.83713e9i | 0.0341427 | + | 0.193633i | ||||
\(876\) | 4.68463e10 | + | 1.59572e10i | 2.35457 | + | 0.802032i | ||||
\(877\) | −5.98299e9 | + | 2.17763e9i | −0.299516 | + | 0.109015i | −0.487407 | − | 0.873175i | \(-0.662057\pi\) |
0.187891 | + | 0.982190i | \(0.439835\pi\) | |||||||
\(878\) | −1.74007e10 | + | 6.33334e9i | −0.867633 | + | 0.315793i | ||||
\(879\) | −4.36921e9 | + | 3.82357e9i | −0.216991 | + | 0.189893i | ||||
\(880\) | −2.70275e8 | − | 1.53280e9i | −0.0133695 | − | 0.0758224i | ||||
\(881\) | 5.27191e9 | − | 9.13121e9i | 0.259748 | − | 0.449897i | −0.706426 | − | 0.707787i | \(-0.749694\pi\) |
0.966174 | + | 0.257890i | \(0.0830272\pi\) | |||||||
\(882\) | 2.18078e10 | − | 1.98989e10i | 1.07022 | − | 0.976538i | ||||
\(883\) | 3.31781e9 | + | 5.74661e9i | 0.162177 | + | 0.280898i | 0.935649 | − | 0.352932i | \(-0.114815\pi\) |
−0.773472 | + | 0.633830i | \(0.781482\pi\) | |||||||
\(884\) | 2.23735e10 | − | 1.87736e10i | 1.08931 | − | 0.914037i | ||||
\(885\) | −2.78203e8 | + | 5.05834e8i | −0.0134915 | + | 0.0245305i | ||||
\(886\) | 2.81993e9 | − | 1.59926e10i | 0.136214 | − | 0.772506i | ||||
\(887\) | −2.36319e9 | − | 1.98295e9i | −0.113702 | − | 0.0954070i | 0.584164 | − | 0.811635i | \(-0.301422\pi\) |
−0.697866 | + | 0.716229i | \(0.745867\pi\) | |||||||
\(888\) | −4.13514e9 | + | 2.66797e10i | −0.198173 | + | 1.27860i | ||||
\(889\) | 4.01718e9 | + | 1.46213e9i | 0.191763 | + | 0.0697961i | ||||
\(890\) | 1.83267e10 | 0.871405 | ||||||||
\(891\) | −8.17205e9 | + | 1.73342e10i | −0.387043 | + | 0.820978i | ||||
\(892\) | 3.69178e10 | 1.74164 | ||||||||
\(893\) | −4.62554e10 | − | 1.68356e10i | −2.17361 | − | 0.791130i | ||||
\(894\) | 2.90652e8 | − | 1.87527e9i | 0.0136048 | − | 0.0877775i | ||||
\(895\) | 6.06780e9 | + | 5.09149e9i | 0.282911 | + | 0.237391i | ||||
\(896\) | 2.35457e9 | − | 1.33534e10i | 0.109354 | − | 0.620175i | ||||
\(897\) | 3.30239e9 | − | 6.00447e9i | 0.152776 | − | 0.277780i | ||||
\(898\) | 4.29944e10 | − | 3.60766e10i | 1.98128 | − | 1.66249i | ||||
\(899\) | −5.21236e9 | − | 9.02808e9i | −0.239263 | − | 0.414416i | ||||
\(900\) | −7.47910e9 | − | 3.40752e10i | −0.341980 | − | 1.55808i | ||||
\(901\) | −1.98312e10 | + | 3.43486e10i | −0.903257 | + | 1.56449i | ||||
\(902\) | −1.19279e9 | − | 6.76462e9i | −0.0541177 | − | 0.306917i | ||||
\(903\) | 3.25271e9 | − | 2.84650e9i | 0.147007 | − | 0.128648i | ||||
\(904\) | −1.97214e10 | + | 7.17802e9i | −0.887869 | + | 0.323158i | ||||
\(905\) | 6.95243e9 | − | 2.53048e9i | 0.311793 | − | 0.113483i | ||||
\(906\) | 3.87110e9 | + | 1.31861e9i | 0.172936 | + | 0.0589069i | ||||
\(907\) | −4.81677e9 | − | 2.73173e10i | −0.214353 | − | 1.21566i | −0.882025 | − | 0.471203i | \(-0.843820\pi\) |
0.667671 | − | 0.744456i | \(-0.267291\pi\) | |||||||
\(908\) | −1.47416e10 | + | 2.55332e10i | −0.653497 | + | 1.13189i | ||||
\(909\) | 2.77775e10 | − | 1.14374e10i | 1.22664 | − | 0.505072i | ||||
\(910\) | 9.57548e8 | + | 1.65852e9i | 0.0421227 | + | 0.0729586i | ||||
\(911\) | −3.07299e10 | + | 2.57855e10i | −1.34663 | + | 1.12995i | −0.366758 | + | 0.930316i | \(0.619532\pi\) |
−0.979870 | + | 0.199638i | \(0.936023\pi\) | |||||||
\(912\) | −5.25974e9 | − | 8.68839e9i | −0.229606 | − | 0.379278i | ||||
\(913\) | 1.36131e9 | − | 7.72040e9i | 0.0591985 | − | 0.335731i | ||||
\(914\) | −2.56855e10 | − | 2.15527e10i | −1.11269 | − | 0.933661i | ||||
\(915\) | 1.39256e9 | − | 5.39853e8i | 0.0600954 | − | 0.0232971i | ||||
\(916\) | −4.33113e10 | − | 1.57640e10i | −1.86195 | − | 0.677694i | ||||
\(917\) | 1.28716e9 | 0.0551241 | ||||||||
\(918\) | −1.49960e10 | − | 6.21325e10i | −0.639774 | − | 2.65075i | ||||
\(919\) | −7.08834e9 | −0.301259 | −0.150630 | − | 0.988590i | \(-0.548130\pi\) | ||||
−0.150630 | + | 0.988590i | \(0.548130\pi\) | |||||||
\(920\) | 5.06044e9 | + | 1.84185e9i | 0.214255 | + | 0.0779824i | ||||
\(921\) | 2.00063e10 | + | 1.60914e10i | 0.843836 | + | 0.678711i | ||||
\(922\) | 3.20277e10 | + | 2.68745e10i | 1.34576 | + | 1.12923i | ||||
\(923\) | −3.44764e9 | + | 1.95525e10i | −0.144317 | + | 0.818460i | ||||
\(924\) | −1.34042e10 | + | 2.78373e8i | −0.558972 | + | 0.0116085i | ||||
\(925\) | 1.77855e10 | − | 1.49238e10i | 0.738872 | − | 0.619987i | ||||
\(926\) | −1.88987e9 | − | 3.27336e9i | −0.0782157 | − | 0.135474i | ||||
\(927\) | −1.23713e10 | + | 2.36434e10i | −0.510077 | + | 0.974836i | ||||
\(928\) | 3.04177e9 | − | 5.26851e9i | 0.124942 | − | 0.216406i | ||||
\(929\) | −9.15710e7 | − | 5.19325e8i | −0.00374717 | − | 0.0212512i | 0.982877 | − | 0.184264i | \(-0.0589900\pi\) |
−0.986624 | + | 0.163012i | \(0.947879\pi\) | |||||||
\(930\) | 3.26139e9 | + | 1.64867e10i | 0.132957 | + | 0.672116i | ||||
\(931\) | −3.07078e10 | + | 1.11767e10i | −1.24717 | + | 0.453932i | ||||
\(932\) | 3.40735e10 | − | 1.24018e10i | 1.37867 | − | 0.501796i | ||||
\(933\) | −2.21478e9 | − | 1.11960e10i | −0.0892782 | − | 0.451313i | ||||
\(934\) | 5.61752e9 | + | 3.18585e10i | 0.225595 | + | 1.27941i | ||||
\(935\) | −5.42120e9 | + | 9.38979e9i | −0.216898 | + | 0.375678i | ||||
\(936\) | −8.18170e9 | − | 1.29025e10i | −0.326120 | − | 0.514291i | ||||
\(937\) | −5.96423e9 | − | 1.03304e10i | −0.236846 | − | 0.410229i | 0.722962 | − | 0.690888i | \(-0.242780\pi\) |
−0.959808 | + | 0.280659i | \(0.909447\pi\) | |||||||
\(938\) | 1.40974e9 | − | 1.18291e9i | 0.0557735 | − | 0.0467995i | ||||
\(939\) | 1.33932e10 | − | 2.78144e8i | 0.527904 | − | 0.0109633i | ||||
\(940\) | 3.40885e9 | − | 1.93326e10i | 0.133863 | − | 0.759175i | ||||
\(941\) | −5.70855e9 | − | 4.79004e9i | −0.223338 | − | 0.187402i | 0.524253 | − | 0.851563i | \(-0.324345\pi\) |
−0.747590 | + | 0.664160i | \(0.768789\pi\) | |||||||
\(942\) | −3.70860e10 | − | 2.98289e10i | −1.44555 | − | 1.16268i | ||||
\(943\) | 3.20892e9 | + | 1.16795e9i | 0.124614 | + | 0.0453559i | ||||
\(944\) | 7.28724e8 | 0.0281943 | ||||||||
\(945\) | 2.65737e9 | − | 1.65752e8i | 0.102433 | − | 0.00638920i | ||||
\(946\) | 2.16181e10 | 0.830231 | ||||||||
\(947\) | −6.45820e8 | − | 2.35059e8i | −0.0247108 | − | 0.00899399i | 0.329635 | − | 0.944108i | \(-0.393074\pi\) |
−0.354346 | + | 0.935114i | \(0.615296\pi\) | |||||||
\(948\) | −5.71422e10 | + | 2.21522e10i | −2.17835 | + | 0.844477i | ||||
\(949\) | −1.42775e10 | − | 1.19802e10i | −0.542276 | − | 0.455023i | ||||
\(950\) | −1.05553e10 | + | 5.98624e10i | −0.399429 | + | 2.26528i | ||||
\(951\) | 2.86717e9 | + | 4.73618e9i | 0.108099 | + | 0.178565i | ||||
\(952\) | 1.45893e10 | − | 1.22419e10i | 0.548032 | − | 0.459854i | ||||
\(953\) | 2.08815e10 | + | 3.61677e10i | 0.781512 | + | 1.35362i | 0.931061 | + | 0.364864i | \(0.118884\pi\) |
−0.149549 | + | 0.988754i | \(0.547782\pi\) | |||||||
\(954\) | 3.85843e10 | + | 2.97359e10i | 1.43877 | + | 1.10882i | ||||
\(955\) | 2.17910e9 | − | 3.77431e9i | 0.0809590 | − | 0.140225i | ||||
\(956\) | 1.04394e10 | + | 5.92050e10i | 0.386433 | + | 2.19157i | ||||
\(957\) | −7.81899e9 | − | 2.66337e9i | −0.288376 | − | 0.0982288i | ||||
\(958\) | −1.86819e10 | + | 6.79967e9i | −0.686504 | + | 0.249867i | ||||
\(959\) | −2.67544e9 | + | 9.73779e8i | −0.0979556 | + | 0.0356529i | ||||
\(960\) | −9.13042e9 | + | 7.99018e9i | −0.333074 | + | 0.291479i | ||||
\(961\) | 4.93311e9 | + | 2.79771e10i | 0.179304 | + | 1.01688i | ||||
\(962\) | 1.19364e10 | − | 2.06745e10i | 0.432275 | − | 0.748723i | ||||
\(963\) | −3.39453e10 | − | 1.07815e10i | −1.22486 | − | 0.389033i | ||||
\(964\) | 3.14787e10 | + | 5.45228e10i | 1.13174 | + | 1.96024i | ||||
\(965\) | −1.16547e9 | + | 9.77950e8i | −0.0417501 | + | 0.0350325i | ||||
\(966\) | 5.05607e9 | − | 9.19305e9i | 0.180465 | − | 0.328125i | ||||
\(967\) | −2.57512e9 | + | 1.46042e10i | −0.0915809 | + | 0.519381i | 0.904161 | + | 0.427193i | \(0.140497\pi\) |
−0.995742 | + | 0.0921886i | \(0.970614\pi\) | |||||||
\(968\) | 4.67915e9 | + | 3.92627e9i | 0.165807 | + | 0.139129i | ||||
\(969\) | −1.08364e10 | + | 6.99159e10i | −0.382606 | + | 2.46855i | ||||
\(970\) | 1.86264e10 | + | 6.77946e9i | 0.655282 | + | 0.238503i | ||||
\(971\) | −2.67353e10 | −0.937169 | −0.468585 | − | 0.883419i | \(-0.655236\pi\) | ||||
−0.468585 | + | 0.883419i | \(0.655236\pi\) | |||||||
\(972\) | −4.96029e10 | + | 5.16849e9i | −1.73251 | + | 0.180523i | ||||
\(973\) | 8.17444e9 | 0.284488 | ||||||||
\(974\) | 7.70347e10 | + | 2.80384e10i | 2.67135 | + | 0.972291i | ||||
\(975\) | −2.01231e9 | + | 1.29833e10i | −0.0695310 | + | 0.448610i | ||||
\(976\) | −1.44424e9 | − | 1.21186e9i | −0.0497240 | − | 0.0417234i | ||||
\(977\) | 4.88815e9 | − | 2.77221e10i | 0.167693 | − | 0.951032i | −0.778552 | − | 0.627580i | \(-0.784045\pi\) |
0.946245 | − | 0.323452i | \(-0.104843\pi\) | |||||||
\(978\) | −6.87969e9 | + | 1.25088e10i | −0.235170 | + | 0.427592i | ||||
\(979\) | 3.70143e10 | − | 3.10586e10i | 1.26075 | − | 1.05790i | ||||
\(980\) | −6.51620e9 | − | 1.12864e10i | −0.221158 | − | 0.383057i | ||||
\(981\) | −2.50146e10 | − | 7.94497e9i | −0.845964 | − | 0.268690i | ||||
\(982\) | 1.02540e10 | − | 1.77604e10i | 0.345543 | − | 0.598498i | ||||
\(983\) | −9.20877e8 | − | 5.22255e9i | −0.0309218 | − | 0.175366i | 0.965436 | − | 0.260642i | \(-0.0839341\pi\) |
−0.996357 | + | 0.0852755i | \(0.972823\pi\) | |||||||
\(984\) | 5.72931e9 | − | 5.01381e9i | 0.191699 | − | 0.167759i | ||||
\(985\) | −3.85926e9 | + | 1.40466e9i | −0.128670 | + | 0.0468321i | ||||
\(986\) | 2.58882e10 | − | 9.42254e9i | 0.860068 | − | 0.313039i | ||||
\(987\) | −1.54192e10 | − | 5.25221e9i | −0.510448 | − | 0.173873i | ||||
\(988\) | 6.89501e9 | + | 3.91036e10i | 0.227450 | + | 1.28993i | ||||
\(989\) | −5.37365e9 | + | 9.30743e9i | −0.176637 | + | 0.305945i | ||||
\(990\) | 1.05477e10 | + | 8.12884e9i | 0.345489 | + | 0.266260i | ||||
\(991\) | −1.71378e10 | − | 2.96836e10i | −0.559368 | − | 0.968855i | −0.997549 | − | 0.0699678i | \(-0.977710\pi\) |
0.438181 | − | 0.898887i | \(-0.355623\pi\) | |||||||
\(992\) | −2.49990e10 | + | 2.09767e10i | −0.813079 | + | 0.682254i | ||||
\(993\) | −1.63503e9 | − | 2.70085e9i | −0.0529912 | − | 0.0875344i | ||||
\(994\) | −5.27845e9 | + | 2.99356e10i | −0.170473 | + | 0.966798i | ||||
\(995\) | −4.82746e8 | − | 4.05072e8i | −0.0155359 | − | 0.0130362i | ||||
\(996\) | 1.90218e10 | − | 7.37415e9i | 0.610020 | − | 0.236485i | ||||
\(997\) | 2.02703e10 | + | 7.37779e9i | 0.647780 | + | 0.235773i | 0.644952 | − | 0.764223i | \(-0.276878\pi\) |
0.00282815 | + | 0.999996i | \(0.499100\pi\) | |||||||
\(998\) | 7.42116e10 | 2.36328 | ||||||||
\(999\) | −1.83522e10 | − | 2.76546e10i | −0.582383 | − | 0.877582i |
(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 | 27.8.e.a.4.19 | ✓ | 120 | |
3.2 | odd | 2 | 81.8.e.a.64.2 | 120 | |||
27.7 | even | 9 | inner | 27.8.e.a.7.19 | yes | 120 | |
27.20 | odd | 18 | 81.8.e.a.19.2 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.19 | ✓ | 120 | 1.1 | even | 1 | trivial | |
27.8.e.a.7.19 | yes | 120 | 27.7 | even | 9 | inner | |
81.8.e.a.19.2 | 120 | 27.20 | odd | 18 | |||
81.8.e.a.64.2 | 120 | 3.2 | odd | 2 |