Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 12.19 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.7.h.a.18.19 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.69868 | + | 11.8334i | 0.712335 | + | 1.47918i | 0.870709 | + | 0.491799i | \(0.163661\pi\) |
−0.158374 | + | 0.987379i | \(0.550625\pi\) | |||||||
\(3\) | 18.7853 | + | 27.5530i | 0.695752 | + | 1.02048i | 0.997742 | + | 0.0671693i | \(0.0213968\pi\) |
−0.301990 | + | 0.953311i | \(0.597651\pi\) | |||||||
\(4\) | −67.6517 | + | 84.8326i | −1.05706 | + | 1.32551i | ||||
\(5\) | 55.6001 | − | 59.9226i | 0.444800 | − | 0.479381i | −0.470358 | − | 0.882476i | \(-0.655875\pi\) |
0.915158 | + | 0.403095i | \(0.132066\pi\) | |||||||
\(6\) | −218.995 | + | 379.310i | −1.01386 | + | 1.75607i | ||||
\(7\) | −321.699 | + | 185.733i | −0.937899 | + | 0.541496i | −0.889301 | − | 0.457322i | \(-0.848809\pi\) |
−0.0485978 | + | 0.998818i | \(0.515475\pi\) | |||||||
\(8\) | −569.878 | − | 130.071i | −1.11304 | − | 0.254045i | ||||
\(9\) | −139.945 | + | 356.575i | −0.191969 | + | 0.489129i | ||||
\(10\) | 1025.94 | + | 316.460i | 1.02594 | + | 0.316460i | ||||
\(11\) | 427.578 | + | 536.166i | 0.321246 | + | 0.402829i | 0.916065 | − | 0.401030i | \(-0.131348\pi\) |
−0.594819 | + | 0.803860i | \(0.702776\pi\) | |||||||
\(12\) | −3608.25 | − | 270.401i | −2.08811 | − | 0.156482i | ||||
\(13\) | −378.250 | + | 116.675i | −0.172167 | + | 0.0531064i | −0.379640 | − | 0.925134i | \(-0.623952\pi\) |
0.207473 | + | 0.978241i | \(0.433476\pi\) | |||||||
\(14\) | −4031.12 | − | 2748.37i | −1.46907 | − | 1.00159i | ||||
\(15\) | 2695.51 | + | 406.283i | 0.798670 | + | 0.120380i | ||||
\(16\) | −163.110 | − | 714.634i | −0.0398219 | − | 0.174471i | ||||
\(17\) | 4401.16 | − | 4083.68i | 0.895819 | − | 0.831199i | −0.0905254 | − | 0.995894i | \(-0.528855\pi\) |
0.986344 | + | 0.164696i | \(0.0526642\pi\) | |||||||
\(18\) | −5017.00 | + | 375.973i | −0.860255 | + | 0.0644672i | ||||
\(19\) | 8551.60 | − | 3356.25i | 1.24677 | − | 0.489321i | 0.352064 | − | 0.935976i | \(-0.385480\pi\) |
0.894706 | + | 0.446655i | \(0.147385\pi\) | |||||||
\(20\) | 1321.95 | + | 8770.57i | 0.165244 | + | 1.09632i | ||||
\(21\) | −11160.7 | − | 5374.72i | −1.20513 | − | 0.580361i | ||||
\(22\) | −3908.05 | + | 8115.15i | −0.367022 | + | 0.762129i | ||||
\(23\) | −15092.0 | + | 2274.75i | −1.24040 | + | 0.186961i | −0.736284 | − | 0.676673i | \(-0.763421\pi\) |
−0.504120 | + | 0.863633i | \(0.668183\pi\) | |||||||
\(24\) | −7121.49 | − | 18145.3i | −0.515154 | − | 1.31259i | ||||
\(25\) | 668.305 | + | 8917.91i | 0.0427715 | + | 0.570746i | ||||
\(26\) | −3536.19 | − | 3811.10i | −0.201194 | − | 0.216836i | ||||
\(27\) | 11247.2 | − | 2567.10i | 0.571416 | − | 0.130422i | ||||
\(28\) | 6007.29 | − | 39855.8i | 0.273656 | − | 1.81559i | ||||
\(29\) | −6396.77 | + | 9382.33i | −0.262281 | + | 0.384695i | −0.934678 | − | 0.355495i | \(-0.884312\pi\) |
0.672397 | + | 0.740190i | \(0.265265\pi\) | |||||||
\(30\) | 10553.1 | + | 34212.4i | 0.390857 | + | 1.26713i | ||||
\(31\) | 1200.31 | − | 16017.0i | 0.0402910 | − | 0.537646i | −0.940141 | − | 0.340787i | \(-0.889307\pi\) |
0.980432 | − | 0.196860i | \(-0.0630744\pi\) | |||||||
\(32\) | −21721.4 | + | 17322.2i | −0.662884 | + | 0.528632i | ||||
\(33\) | −6740.78 | + | 21853.1i | −0.187572 | + | 0.608094i | ||||
\(34\) | 73404.7 | + | 28809.2i | 1.86761 | + | 0.732985i | ||||
\(35\) | −6756.88 | + | 29603.8i | −0.157595 | + | 0.690468i | ||||
\(36\) | −20781.6 | − | 35994.8i | −0.445422 | − | 0.771494i | ||||
\(37\) | 53456.2 | + | 30863.0i | 1.05534 | + | 0.609302i | 0.924140 | − | 0.382054i | \(-0.124783\pi\) |
0.131201 | + | 0.991356i | \(0.458117\pi\) | |||||||
\(38\) | 88448.8 | + | 82068.5i | 1.61191 | + | 1.49564i | ||||
\(39\) | −10320.3 | − | 8230.14i | −0.173979 | − | 0.138744i | ||||
\(40\) | −39479.4 | + | 26916.6i | −0.616866 | + | 0.420572i | ||||
\(41\) | −11274.6 | + | 5429.56i | −0.163587 | + | 0.0787794i | −0.513886 | − | 0.857859i | \(-0.671794\pi\) |
0.350298 | + | 0.936638i | \(0.386080\pi\) | |||||||
\(42\) | − | 162698.i | − | 2.19602i | ||||||
\(43\) | 78204.9 | − | 14330.3i | 0.983623 | − | 0.180240i | ||||
\(44\) | −74410.7 | −0.873529 | ||||||||
\(45\) | 13585.9 | + | 28211.5i | 0.149091 | + | 0.309591i | ||||
\(46\) | −112923. | − | 165627.i | −1.16013 | − | 1.70160i | ||||
\(47\) | 46407.1 | − | 58192.6i | 0.446982 | − | 0.560498i | −0.506386 | − | 0.862307i | \(-0.669019\pi\) |
0.953369 | + | 0.301809i | \(0.0975904\pi\) | |||||||
\(48\) | 16626.2 | − | 17918.8i | 0.150338 | − | 0.162026i | ||||
\(49\) | 10169.1 | − | 17613.4i | 0.0864361 | − | 0.149712i | ||||
\(50\) | −101721. | + | 58728.6i | −0.813768 | + | 0.469829i | ||||
\(51\) | 195195. | + | 44551.9i | 1.47149 | + | 0.335858i | ||||
\(52\) | 15691.5 | − | 39981.2i | 0.111597 | − | 0.284345i | ||||
\(53\) | −71071.6 | − | 21922.7i | −0.477385 | − | 0.147254i | 0.0467189 | − | 0.998908i | \(-0.485123\pi\) |
−0.524104 | + | 0.851654i | \(0.675600\pi\) | |||||||
\(54\) | 94471.7 | + | 118464.i | 0.599957 | + | 0.752323i | ||||
\(55\) | 55901.8 | + | 4189.26i | 0.335999 | + | 0.0251796i | ||||
\(56\) | 207488. | − | 64001.5i | 1.18149 | − | 0.364440i | ||||
\(57\) | 253119. | + | 172574.i | 1.36679 | + | 0.931858i | ||||
\(58\) | −147478. | − | 22228.8i | −0.755865 | − | 0.113928i | ||||
\(59\) | −27267.5 | − | 119467.i | −0.132767 | − | 0.581690i | −0.996918 | − | 0.0784565i | \(-0.975001\pi\) |
0.864151 | − | 0.503233i | \(-0.167856\pi\) | |||||||
\(60\) | −216822. | + | 201181.i | −1.00381 | + | 0.931395i | ||||
\(61\) | −344915. | + | 25847.8i | −1.51958 | + | 0.113876i | −0.808188 | − | 0.588924i | \(-0.799552\pi\) |
−0.711387 | + | 0.702800i | \(0.751933\pi\) | |||||||
\(62\) | 196377. | − | 77072.1i | 0.823976 | − | 0.323387i | ||||
\(63\) | −21207.5 | − | 140702.i | −0.0848139 | − | 0.562703i | ||||
\(64\) | −371031. | − | 178679.i | −1.41537 | − | 0.681607i | ||||
\(65\) | −14039.3 | + | 29152.8i | −0.0511216 | + | 0.106155i | ||||
\(66\) | −297010. | + | 44767.1i | −1.03309 | + | 0.155714i | ||||
\(67\) | 54576.6 | + | 139059.i | 0.181461 | + | 0.462354i | 0.992442 | − | 0.122719i | \(-0.0391613\pi\) |
−0.810981 | + | 0.585073i | \(0.801066\pi\) | |||||||
\(68\) | 48683.0 | + | 649630.i | 0.154828 | + | 2.06604i | ||||
\(69\) | −346184. | − | 373098.i | −1.05380 | − | 1.13573i | ||||
\(70\) | −388820. | + | 88745.7i | −1.13359 | + | 0.258734i | ||||
\(71\) | 68323.1 | − | 453294.i | 0.190894 | − | 1.26650i | −0.664014 | − | 0.747720i | \(-0.731149\pi\) |
0.854908 | − | 0.518779i | \(-0.173613\pi\) | |||||||
\(72\) | 126132. | − | 185001.i | 0.337930 | − | 0.495652i | ||||
\(73\) | −163446. | − | 529879.i | −0.420151 | − | 1.36210i | −0.880368 | − | 0.474290i | \(-0.842705\pi\) |
0.460217 | − | 0.887806i | \(-0.347772\pi\) | |||||||
\(74\) | −60584.8 | + | 808448.i | −0.149509 | + | 1.99507i | ||||
\(75\) | −233161. | + | 185939.i | −0.552677 | + | 0.440745i | ||||
\(76\) | −293811. | + | 952511.i | −0.669309 | + | 2.16985i | ||||
\(77\) | −237135. | − | 93068.7i | −0.519426 | − | 0.203860i | ||||
\(78\) | 38578.9 | − | 169025.i | 0.0812954 | − | 0.356178i | ||||
\(79\) | 201616. | + | 349209.i | 0.408925 | + | 0.708279i | 0.994770 | − | 0.102144i | \(-0.0325704\pi\) |
−0.585844 | + | 0.810424i | \(0.699237\pi\) | |||||||
\(80\) | −51891.7 | − | 29959.7i | −0.101351 | − | 0.0585150i | ||||
\(81\) | 486715. | + | 451605.i | 0.915840 | + | 0.849775i | ||||
\(82\) | −128501. | − | 102476.i | −0.233058 | − | 0.185857i | ||||
\(83\) | 778628. | − | 530859.i | 1.36174 | − | 0.928421i | 0.361751 | − | 0.932275i | \(-0.382179\pi\) |
0.999993 | + | 0.00385322i | \(0.00122652\pi\) | |||||||
\(84\) | 1.21099e6 | − | 583184.i | 2.04317 | − | 0.983938i | ||||
\(85\) | − | 490782.i | − | 0.799156i | ||||||
\(86\) | 615241. | + | 843768.i | 0.967275 | + | 1.32656i | ||||
\(87\) | −378676. | −0.575056 | ||||||||
\(88\) | −173928. | − | 361165.i | −0.255224 | − | 0.529977i | ||||
\(89\) | −370040. | − | 542749.i | −0.524902 | − | 0.769890i | 0.468636 | − | 0.883392i | \(-0.344746\pi\) |
−0.993538 | + | 0.113502i | \(0.963793\pi\) | |||||||
\(90\) | −256416. | + | 321536.i | −0.351737 | + | 0.441065i | ||||
\(91\) | 100012. | − | 107788.i | 0.132718 | − | 0.143036i | ||||
\(92\) | 828027. | − | 1.43418e6i | 1.06336 | − | 1.84180i | ||||
\(93\) | 463865. | − | 267813.i | 0.576690 | − | 0.332952i | ||||
\(94\) | 953077. | + | 217534.i | 1.14748 | + | 0.261904i | ||||
\(95\) | 274354. | − | 699042.i | 0.319993 | − | 0.815328i | ||||
\(96\) | −885321. | − | 273085.i | −1.00066 | − | 0.308663i | ||||
\(97\) | −873604. | − | 1.09546e6i | −0.957193 | − | 1.20028i | −0.979687 | − | 0.200535i | \(-0.935732\pi\) |
0.0224938 | − | 0.999747i | \(-0.492839\pi\) | |||||||
\(98\) | 266378. | + | 19962.3i | 0.283022 | + | 0.0212096i | ||||
\(99\) | −251021. | + | 77429.6i | −0.258704 | + | 0.0797998i | ||||
\(100\) | −801741. | − | 546618.i | −0.801741 | − | 0.546618i | ||||
\(101\) | 1.85293e6 | + | 279285.i | 1.79844 | + | 0.271071i | 0.961217 | − | 0.275792i | \(-0.0889402\pi\) |
0.837222 | + | 0.546863i | \(0.184178\pi\) | |||||||
\(102\) | 585150. | + | 2.56371e6i | 0.551400 | + | 2.41584i | ||||
\(103\) | 796919. | − | 739433.i | 0.729294 | − | 0.676686i | −0.225403 | − | 0.974266i | \(-0.572370\pi\) |
0.954697 | + | 0.297580i | \(0.0961794\pi\) | |||||||
\(104\) | 230732. | − | 17291.0i | 0.205120 | − | 0.0153716i | ||||
\(105\) | −942604. | + | 369945.i | −0.814257 | + | 0.319572i | ||||
\(106\) | −145594. | − | 965952.i | −0.122243 | − | 0.811032i | ||||
\(107\) | 1.08407e6 | + | 522060.i | 0.884923 | + | 0.426156i | 0.820420 | − | 0.571761i | \(-0.193740\pi\) |
0.0645029 | + | 0.997918i | \(0.479454\pi\) | |||||||
\(108\) | −543118. | + | 1.12780e6i | −0.431145 | + | 0.895282i | ||||
\(109\) | −1.55332e6 | + | 234126.i | −1.19945 | + | 0.180788i | −0.718226 | − | 0.695810i | \(-0.755045\pi\) |
−0.481223 | + | 0.876598i | \(0.659807\pi\) | |||||||
\(110\) | 268993. | + | 685383.i | 0.202099 | + | 0.514939i | ||||
\(111\) | 153825. | + | 2.05265e6i | 0.112475 | + | 1.50088i | ||||
\(112\) | 185204. | + | 199602.i | 0.131824 | + | 0.142073i | ||||
\(113\) | −258211. | + | 58935.0i | −0.178953 | + | 0.0408449i | −0.311058 | − | 0.950391i | \(-0.600683\pi\) |
0.132105 | + | 0.991236i | \(0.457826\pi\) | |||||||
\(114\) | −599694. | + | 3.97871e6i | −0.404776 | + | 2.68551i | ||||
\(115\) | −702807. | + | 1.03083e6i | −0.462107 | + | 0.677786i | ||||
\(116\) | −363175. | − | 1.17739e6i | −0.232671 | − | 0.754301i | ||||
\(117\) | 11331.1 | − | 151202.i | 0.00707478 | − | 0.0944064i | ||||
\(118\) | 1.25831e6 | − | 1.00347e6i | 0.765848 | − | 0.610744i | ||||
\(119\) | −657375. | + | 2.13116e6i | −0.390097 | + | 1.26466i | ||||
\(120\) | −1.48327e6 | − | 582139.i | −0.858372 | − | 0.336886i | ||||
\(121\) | 289559. | − | 1.26864e6i | 0.163448 | − | 0.716114i | ||||
\(122\) | −2.27143e6 | − | 3.93423e6i | −1.25089 | − | 2.16661i | ||||
\(123\) | −361397. | − | 208653.i | −0.194209 | − | 0.112127i | ||||
\(124\) | 1.27756e6 | + | 1.18541e6i | 0.670066 | + | 0.621730i | ||||
\(125\) | 1.57014e6 | + | 1.25214e6i | 0.803910 | + | 0.641097i | ||||
\(126\) | 1.54414e6 | − | 1.05277e6i | 0.771923 | − | 0.526288i | ||||
\(127\) | −886510. | + | 426921.i | −0.432786 | + | 0.208419i | −0.637576 | − | 0.770387i | \(-0.720063\pi\) |
0.204791 | + | 0.978806i | \(0.434349\pi\) | |||||||
\(128\) | − | 3.63072e6i | − | 1.73126i | ||||||
\(129\) | 1.86395e6 | + | 1.88558e6i | 0.868288 | + | 0.878366i | ||||
\(130\) | −424983. | −0.193438 | ||||||||
\(131\) | −1.01916e6 | − | 2.11631e6i | −0.453345 | − | 0.941381i | −0.994914 | − | 0.100725i | \(-0.967884\pi\) |
0.541569 | − | 0.840656i | \(-0.317830\pi\) | |||||||
\(132\) | −1.39783e6 | − | 2.05024e6i | −0.607760 | − | 0.891420i | ||||
\(133\) | −2.12767e6 | + | 2.66802e6i | −0.904379 | + | 1.13405i | ||||
\(134\) | −1.33453e6 | + | 1.43828e6i | −0.554643 | + | 0.597763i | ||||
\(135\) | 471517. | − | 816692.i | 0.191644 | − | 0.331938i | ||||
\(136\) | −3.03929e6 | + | 1.75474e6i | −1.20825 | + | 0.697582i | ||||
\(137\) | −3.89289e6 | − | 888526.i | −1.51394 | − | 0.345548i | −0.616741 | − | 0.787166i | \(-0.711548\pi\) |
−0.897203 | + | 0.441618i | \(0.854405\pi\) | |||||||
\(138\) | 2.44223e6 | − | 6.22271e6i | 0.929287 | − | 2.36778i | ||||
\(139\) | 2.31554e6 | + | 714251.i | 0.862201 | + | 0.265954i | 0.694155 | − | 0.719825i | \(-0.255778\pi\) |
0.168046 | + | 0.985779i | \(0.446254\pi\) | |||||||
\(140\) | −2.05426e6 | − | 2.57596e6i | −0.748635 | − | 0.938759i | ||||
\(141\) | 2.47515e6 | + | 185487.i | 0.882966 | + | 0.0661692i | ||||
\(142\) | 5.75337e6 | − | 1.77468e6i | 2.00936 | − | 0.619805i | ||||
\(143\) | −224288. | − | 152917.i | −0.0767006 | − | 0.0522936i | ||||
\(144\) | 277647. | + | 41848.5i | 0.0929834 | + | 0.0140150i | ||||
\(145\) | 206553. | + | 904969.i | 0.0677529 | + | 0.296845i | ||||
\(146\) | 5.33886e6 | − | 4.95374e6i | 1.71550 | − | 1.59175i | ||||
\(147\) | 676332. | − | 50684.1i | 0.212916 | − | 0.0159558i | ||||
\(148\) | −6.23459e6 | + | 2.44690e6i | −1.92319 | + | 0.754798i | ||||
\(149\) | 684877. | + | 4.54386e6i | 0.207040 | + | 1.37362i | 0.814912 | + | 0.579584i | \(0.196785\pi\) |
−0.607873 | + | 0.794035i | \(0.707977\pi\) | |||||||
\(150\) | −3.52901e6 | − | 1.69948e6i | −1.04563 | − | 0.503550i | ||||
\(151\) | −598776. | + | 1.24337e6i | −0.173914 | + | 0.361135i | −0.969646 | − | 0.244513i | \(-0.921372\pi\) |
0.795732 | + | 0.605648i | \(0.207086\pi\) | |||||||
\(152\) | −5.30992e6 | + | 800341.i | −1.51202 | + | 0.227900i | ||||
\(153\) | 840215. | + | 2.14083e6i | 0.234594 | + | 0.597735i | ||||
\(154\) | −250036. | − | 3.33649e6i | −0.0684604 | − | 0.913541i | ||||
\(155\) | −893045. | − | 962473.i | −0.239816 | − | 0.258460i | ||||
\(156\) | 1.39637e6 | − | 318712.i | 0.367812 | − | 0.0839508i | ||||
\(157\) | −601656. | + | 3.99173e6i | −0.155471 | + | 1.03148i | 0.765945 | + | 0.642906i | \(0.222271\pi\) |
−0.921416 | + | 0.388577i | \(0.872967\pi\) | |||||||
\(158\) | −2.98340e6 | + | 4.37584e6i | −0.756380 | + | 1.10941i | ||||
\(159\) | −731067. | − | 2.37006e6i | −0.181872 | − | 0.589614i | ||||
\(160\) | −169717. | + | 2.26472e6i | −0.0414349 | + | 0.552910i | ||||
\(161\) | 4.43259e6 | − | 3.53487e6i | 1.06214 | − | 0.847024i | ||||
\(162\) | −2.57041e6 | + | 8.33306e6i | −0.604585 | + | 1.96002i | ||||
\(163\) | 4.07868e6 | + | 1.60076e6i | 0.941796 | + | 0.369628i | 0.786045 | − | 0.618169i | \(-0.212125\pi\) |
0.155751 | + | 0.987796i | \(0.450220\pi\) | |||||||
\(164\) | 302142. | − | 1.32377e6i | 0.0684983 | − | 0.300111i | ||||
\(165\) | 934706. | + | 1.61896e6i | 0.208076 | + | 0.360399i | ||||
\(166\) | 1.07190e7 | + | 6.18864e6i | 2.34332 | + | 1.35292i | ||||
\(167\) | −5.33728e6 | − | 4.95228e6i | −1.14596 | − | 1.06330i | −0.997227 | − | 0.0744220i | \(-0.976289\pi\) |
−0.148737 | − | 0.988877i | \(-0.547521\pi\) | |||||||
\(168\) | 5.66115e6 | + | 4.51462e6i | 1.19393 | + | 0.952123i | ||||
\(169\) | −3.85864e6 | + | 2.63077e6i | −0.799418 | + | 0.545034i | ||||
\(170\) | 5.80763e6 | − | 2.79681e6i | 1.18209 | − | 0.569267i | ||||
\(171\) | 3.51897e6i | 0.703765i | ||||||||
\(172\) | −4.07502e6 | + | 7.60380e6i | −0.800837 | + | 1.49433i | ||||
\(173\) | −7.79690e6 | −1.50586 | −0.752929 | − | 0.658102i | \(-0.771360\pi\) | ||||
−0.752929 | + | 0.658102i | \(0.771360\pi\) | |||||||
\(174\) | −2.15795e6 | − | 4.48104e6i | −0.409633 | − | 0.850611i | ||||
\(175\) | −1.87134e6 | − | 2.74476e6i | −0.349172 | − | 0.512142i | ||||
\(176\) | 313420. | − | 393016.i | 0.0574895 | − | 0.0720895i | ||||
\(177\) | 2.77944e6 | − | 2.99552e6i | 0.501230 | − | 0.540198i | ||||
\(178\) | 4.31384e6 | − | 7.47179e6i | 0.764899 | − | 1.32484i | ||||
\(179\) | −856874. | + | 494716.i | −0.149402 | + | 0.0862576i | −0.572838 | − | 0.819669i | \(-0.694157\pi\) |
0.423435 | + | 0.905926i | \(0.360824\pi\) | |||||||
\(180\) | −3.31236e6 | − | 756025.i | −0.567963 | − | 0.129634i | ||||
\(181\) | 2.44797e6 | − | 6.23733e6i | 0.412829 | − | 1.05187i | −0.561646 | − | 0.827378i | \(-0.689832\pi\) |
0.974475 | − | 0.224495i | \(-0.0720731\pi\) | |||||||
\(182\) | 1.84544e6 | + | 569242.i | 0.306115 | + | 0.0944241i | ||||
\(183\) | −7.19151e6 | − | 9.01787e6i | −1.17346 | − | 1.47147i | ||||
\(184\) | 8.89648e6 | + | 666699.i | 1.42812 | + | 0.107023i | ||||
\(185\) | 4.82156e6 | − | 1.48725e6i | 0.761504 | − | 0.234893i | ||||
\(186\) | 5.81256e6 | + | 3.96293e6i | 0.903293 | + | 0.615854i | ||||
\(187\) | 4.07137e6 | + | 613660.i | 0.622609 | + | 0.0938432i | ||||
\(188\) | 1.79711e6 | + | 7.87366e6i | 0.270459 | + | 1.18496i | ||||
\(189\) | −3.14142e6 | + | 2.91481e6i | −0.465308 | + | 0.431742i | ||||
\(190\) | 9.83552e6 | − | 737070.i | 1.43396 | − | 0.107460i | ||||
\(191\) | 159113. | − | 62447.3i | 0.0228353 | − | 0.00896218i | −0.353896 | − | 0.935285i | \(-0.615143\pi\) |
0.376731 | + | 0.926323i | \(0.377048\pi\) | |||||||
\(192\) | −2.04679e6 | − | 1.35796e7i | −0.289181 | − | 1.91859i | ||||
\(193\) | −7.24735e6 | − | 3.49014e6i | −1.00811 | − | 0.485479i | −0.144426 | − | 0.989516i | \(-0.546133\pi\) |
−0.863682 | + | 0.504036i | \(0.831848\pi\) | |||||||
\(194\) | 7.98472e6 | − | 1.65804e7i | 1.09359 | − | 2.27086i | ||||
\(195\) | −1.06698e6 | + | 160821.i | −0.143897 | + | 0.0216890i | ||||
\(196\) | 806235. | + | 2.05425e6i | 0.107076 | + | 0.272826i | ||||
\(197\) | 683179. | + | 9.11639e6i | 0.0893585 | + | 1.19241i | 0.844027 | + | 0.536300i | \(0.180179\pi\) |
−0.754669 | + | 0.656106i | \(0.772202\pi\) | |||||||
\(198\) | −2.34674e6 | − | 2.52919e6i | −0.302322 | − | 0.325826i | ||||
\(199\) | −8.60714e6 | + | 1.96452e6i | −1.09219 | + | 0.249286i | −0.730432 | − | 0.682985i | \(-0.760681\pi\) |
−0.361761 | + | 0.932271i | \(0.617824\pi\) | |||||||
\(200\) | 779109. | − | 5.16905e6i | 0.0973886 | − | 0.646131i | ||||
\(201\) | −2.80625e6 | + | 4.11601e6i | −0.345572 | + | 0.506861i | ||||
\(202\) | 7.25438e6 | + | 2.35181e7i | 0.880128 | + | 2.85331i | ||||
\(203\) | 315225. | − | 4.20638e6i | 0.0376818 | − | 0.502829i | ||||
\(204\) | −1.69847e7 | + | 1.35449e7i | −2.00063 | + | 1.59545i | ||||
\(205\) | −301515. | + | 977487.i | −0.0349983 | + | 0.113462i | ||||
\(206\) | 1.32914e7 | + | 5.21650e6i | 1.52044 | + | 0.596729i | ||||
\(207\) | 1.30093e6 | − | 5.69977e6i | 0.146671 | − | 0.642608i | ||||
\(208\) | 145076. | + | 251279.i | 0.0161215 | + | 0.0279233i | ||||
\(209\) | 5.45598e6 | + | 3.15001e6i | 0.597632 | + | 0.345043i | ||||
\(210\) | −9.74931e6 | − | 9.04604e6i | −1.05273 | − | 0.976788i | ||||
\(211\) | −5.93645e6 | − | 4.73416e6i | −0.631945 | − | 0.503959i | 0.254331 | − | 0.967117i | \(-0.418145\pi\) |
−0.886276 | + | 0.463158i | \(0.846716\pi\) | |||||||
\(212\) | 6.66788e6 | − | 4.54608e6i | 0.699810 | − | 0.477123i | ||||
\(213\) | 1.37731e7 | − | 6.63276e6i | 1.42525 | − | 0.686365i | ||||
\(214\) | 1.58033e7i | 1.61253i | ||||||||
\(215\) | 3.48949e6 | − | 5.48301e6i | 0.351112 | − | 0.551701i | ||||
\(216\) | −6.74343e6 | −0.669144 | ||||||||
\(217\) | 2.58875e6 | + | 5.37560e6i | 0.253345 | + | 0.526075i | ||||
\(218\) | −1.16224e7 | − | 1.70469e7i | −1.12183 | − | 1.64542i | ||||
\(219\) | 1.15294e7 | − | 1.44574e7i | 1.09767 | − | 1.37644i | ||||
\(220\) | −4.13724e6 | + | 4.45889e6i | −0.388546 | + | 0.418753i | ||||
\(221\) | −1.18828e6 | + | 2.05816e6i | −0.110088 | + | 0.190678i | ||||
\(222\) | −2.34133e7 | + | 1.35177e7i | −2.13995 | + | 1.23550i | ||||
\(223\) | −1.68604e7 | − | 3.84827e6i | −1.52038 | − | 0.347017i | −0.620870 | − | 0.783914i | \(-0.713220\pi\) |
−0.899512 | + | 0.436897i | \(0.856077\pi\) | |||||||
\(224\) | 3.77044e6 | − | 9.60693e6i | 0.335466 | − | 0.854753i | ||||
\(225\) | −3.27343e6 | − | 1.00972e6i | −0.287379 | − | 0.0886447i | ||||
\(226\) | −2.16886e6 | − | 2.71967e6i | −0.187891 | − | 0.235608i | ||||
\(227\) | −840739. | − | 63004.7i | −0.0718760 | − | 0.00538636i | 0.0387436 | − | 0.999249i | \(-0.487664\pi\) |
−0.110620 | + | 0.993863i | \(0.535284\pi\) | |||||||
\(228\) | −3.17638e7 | + | 9.79784e6i | −2.67996 | + | 0.826658i | ||||
\(229\) | 1.49148e7 | + | 1.01688e7i | 1.24197 | + | 0.846762i | 0.992574 | − | 0.121640i | \(-0.0388152\pi\) |
0.249397 | + | 0.968401i | \(0.419768\pi\) | |||||||
\(230\) | −1.62033e7 | − | 2.44226e6i | −1.33174 | − | 0.200728i | ||||
\(231\) | −1.89034e6 | − | 8.28211e6i | −0.153357 | − | 0.671900i | ||||
\(232\) | 4.86575e6 | − | 4.51475e6i | 0.389660 | − | 0.361551i | ||||
\(233\) | −2.95037e6 | + | 221100.i | −0.233243 | + | 0.0174792i | −0.190839 | − | 0.981621i | \(-0.561121\pi\) |
−0.0424044 | + | 0.999101i | \(0.513502\pi\) | |||||||
\(234\) | 1.85382e6 | − | 727569.i | 0.144683 | − | 0.0567841i | ||||
\(235\) | −906818. | − | 6.01634e6i | −0.0698742 | − | 0.463585i | ||||
\(236\) | 1.19794e7 | + | 5.76897e6i | 0.911378 | + | 0.438896i | ||||
\(237\) | −5.83434e6 | + | 1.21151e7i | −0.438275 | + | 0.910087i | ||||
\(238\) | −2.89651e7 | + | 4.36578e6i | −2.14854 | + | 0.323841i | ||||
\(239\) | 6.69678e6 | + | 1.70631e7i | 0.490537 | + | 1.24987i | 0.935184 | + | 0.354163i | \(0.115234\pi\) |
−0.444647 | + | 0.895706i | \(0.646671\pi\) | |||||||
\(240\) | −149323. | − | 1.99257e6i | −0.0108017 | − | 0.144139i | ||||
\(241\) | 6.70172e6 | + | 7.22274e6i | 0.478779 | + | 0.516001i | 0.925539 | − | 0.378653i | \(-0.123613\pi\) |
−0.446760 | + | 0.894654i | \(0.647422\pi\) | |||||||
\(242\) | 1.66625e7 | − | 3.80310e6i | 1.17569 | − | 0.268344i | ||||
\(243\) | −2.04653e6 | + | 1.35779e7i | −0.142626 | + | 0.946265i | ||||
\(244\) | 2.11414e7 | − | 3.10087e7i | 1.45534 | − | 2.13459i | ||||
\(245\) | −490039. | − | 1.58867e6i | −0.0333221 | − | 0.108028i | ||||
\(246\) | 409591. | − | 5.46561e6i | 0.0275134 | − | 0.367141i | ||||
\(247\) | −2.84305e6 | + | 2.26726e6i | −0.188666 | + | 0.150456i | ||||
\(248\) | −2.76738e6 | + | 8.97163e6i | −0.181432 | + | 0.588188i | ||||
\(249\) | 2.92535e7 | + | 1.14812e7i | 1.89487 | + | 0.743682i | ||||
\(250\) | −5.86943e6 | + | 2.57157e7i | −0.375644 | + | 1.64580i | ||||
\(251\) | 7.40908e6 | + | 1.28329e7i | 0.468536 | + | 0.811529i | 0.999353 | − | 0.0359578i | \(-0.0114482\pi\) |
−0.530817 | + | 0.847486i | \(0.678115\pi\) | |||||||
\(252\) | 1.33709e7 | + | 7.71967e6i | 0.835522 | + | 0.482389i | ||||
\(253\) | −7.67265e6 | − | 7.11918e6i | −0.473788 | − | 0.439611i | ||||
\(254\) | −1.01039e7 | − | 8.05757e6i | −0.616576 | − | 0.491703i | ||||
\(255\) | 1.35225e7 | − | 9.21948e6i | 0.815523 | − | 0.556014i | ||||
\(256\) | 1.92178e7 | − | 9.25482e6i | 1.14547 | − | 0.551630i | ||||
\(257\) | − | 242668.i | − | 0.0142959i | −0.999974 | − | 0.00714796i | \(-0.997725\pi\) | ||
0.999974 | − | 0.00714796i | \(-0.00227529\pi\) | |||||||
\(258\) | −1.16908e7 | + | 3.28022e7i | −0.680748 | + | 1.91004i | ||||
\(259\) | −2.29291e7 | −1.31974 | ||||||||
\(260\) | −1.52333e6 | − | 3.16323e6i | −0.0866711 | − | 0.179974i | ||||
\(261\) | −2.45031e6 | − | 3.59394e6i | −0.137816 | − | 0.202139i | ||||
\(262\) | 1.92353e7 | − | 2.41203e7i | 1.06954 | − | 1.34116i | ||||
\(263\) | 6.46320e6 | − | 6.96568e6i | 0.355288 | − | 0.382909i | −0.529965 | − | 0.848020i | \(-0.677795\pi\) |
0.885253 | + | 0.465110i | \(0.153985\pi\) | |||||||
\(264\) | 6.68387e6 | − | 1.15768e7i | 0.363259 | − | 0.629183i | ||||
\(265\) | −5.26525e6 | + | 3.03990e6i | −0.282932 | + | 0.163351i | ||||
\(266\) | −4.36968e7 | − | 9.97350e6i | −2.32169 | − | 0.529911i | ||||
\(267\) | 8.00303e6 | − | 2.03914e7i | 0.420456 | − | 1.07130i | ||||
\(268\) | −1.54889e7 | − | 4.77770e6i | −0.804669 | − | 0.248207i | ||||
\(269\) | 52175.7 | + | 65426.3i | 0.00268048 | + | 0.00336121i | 0.783170 | − | 0.621808i | \(-0.213601\pi\) |
−0.780489 | + | 0.625169i | \(0.785030\pi\) | |||||||
\(270\) | 1.23513e7 | + | 925601.i | 0.627510 | + | 0.0470254i | ||||
\(271\) | −2.32312e7 | + | 7.16589e6i | −1.16725 | + | 0.360050i | −0.817018 | − | 0.576613i | \(-0.804374\pi\) |
−0.350234 | + | 0.936662i | \(0.613898\pi\) | |||||||
\(272\) | −3.63621e6 | − | 2.47913e6i | −0.180693 | − | 0.123195i | ||||
\(273\) | 4.84864e6 | + | 730814.i | 0.238304 | + | 0.0359186i | ||||
\(274\) | −1.16700e7 | − | 5.11296e7i | −0.567308 | − | 2.48554i | ||||
\(275\) | −4.49572e6 | + | 4.17142e6i | −0.216173 | + | 0.200579i | ||||
\(276\) | 5.50708e7 | − | 4.12698e6i | 2.61935 | − | 0.196293i | ||||
\(277\) | 1.12186e7 | − | 4.40297e6i | 0.527836 | − | 0.207160i | −0.0864320 | − | 0.996258i | \(-0.527547\pi\) |
0.614268 | + | 0.789097i | \(0.289451\pi\) | |||||||
\(278\) | 4.74351e6 | + | 3.14711e7i | 0.220783 | + | 1.46480i | ||||
\(279\) | 5.54329e6 | + | 2.66951e6i | 0.255244 | + | 0.122919i | ||||
\(280\) | 7.70120e6 | − | 1.59917e7i | 0.350820 | − | 0.728485i | ||||
\(281\) | −3.83391e6 | + | 577870.i | −0.172792 | + | 0.0260442i | −0.234868 | − | 0.972027i | \(-0.575466\pi\) |
0.0620763 | + | 0.998071i | \(0.480228\pi\) | |||||||
\(282\) | 1.19101e7 | + | 3.03465e7i | 0.531092 | + | 1.35320i | ||||
\(283\) | −1.54651e6 | − | 2.06368e7i | −0.0682329 | − | 0.910505i | −0.921337 | − | 0.388764i | \(-0.872902\pi\) |
0.853104 | − | 0.521740i | \(-0.174717\pi\) | |||||||
\(284\) | 3.38319e7 | + | 3.64622e7i | 1.47697 | + | 1.59180i | ||||
\(285\) | 2.44145e7 | − | 5.57245e6i | 1.05466 | − | 0.240720i | ||||
\(286\) | 531388. | − | 3.52553e6i | 0.0227150 | − | 0.150704i | ||||
\(287\) | 2.61858e6 | − | 3.84075e6i | 0.110769 | − | 0.162469i | ||||
\(288\) | −3.13686e6 | − | 1.01695e7i | −0.131316 | − | 0.425716i | ||||
\(289\) | 889965. | − | 1.18758e7i | 0.0368706 | − | 0.492003i | ||||
\(290\) | −9.53181e6 | + | 7.60136e6i | −0.390824 | + | 0.311672i | ||||
\(291\) | 1.37724e7 | − | 4.46490e7i | 0.558896 | − | 1.81189i | ||||
\(292\) | 5.60084e7 | + | 2.19817e7i | 2.24960 | + | 0.882902i | ||||
\(293\) | −2.00127e6 | + | 8.76812e6i | −0.0795614 | + | 0.348581i | −0.999003 | − | 0.0446457i | \(-0.985784\pi\) |
0.919442 | + | 0.393227i | \(0.128641\pi\) | |||||||
\(294\) | 4.45397e6 | + | 7.71450e6i | 0.175269 | + | 0.303575i | ||||
\(295\) | −8.67484e6 | − | 5.00842e6i | −0.337906 | − | 0.195090i | ||||
\(296\) | −2.64491e7 | − | 2.45412e7i | −1.01985 | − | 0.946283i | ||||
\(297\) | 6.18544e6 | + | 4.93272e6i | 0.236103 | + | 0.188286i | ||||
\(298\) | −4.98666e7 | + | 3.39984e7i | −1.88435 | + | 1.28473i | ||||
\(299\) | 5.44314e6 | − | 2.62128e6i | 0.203627 | − | 0.0980618i | ||||
\(300\) | − | 3.23587e7i | − | 1.19847i | ||||||
\(301\) | −2.24968e7 | + | 1.91353e7i | −0.824939 | + | 0.701674i | ||||
\(302\) | −1.81256e7 | −0.658069 | ||||||||
\(303\) | 2.71128e7 | + | 5.63003e7i | 0.974645 | + | 2.02387i | ||||
\(304\) | −3.79335e6 | − | 5.56382e6i | −0.135021 | − | 0.198040i | ||||
\(305\) | −1.76284e7 | + | 2.21053e7i | −0.621318 | + | 0.779108i | ||||
\(306\) | −2.05453e7 | + | 2.21426e7i | −0.717047 | + | 0.772793i | ||||
\(307\) | 1.33112e7 | − | 2.30556e7i | 0.460045 | − | 0.796822i | −0.538917 | − | 0.842359i | \(-0.681167\pi\) |
0.998963 | + | 0.0455369i | \(0.0144999\pi\) | |||||||
\(308\) | 2.39379e7 | − | 1.38205e7i | 0.819282 | − | 0.473013i | ||||
\(309\) | 3.53439e7 | + | 8.06703e6i | 1.19795 | + | 0.273425i | ||||
\(310\) | 6.30018e6 | − | 1.60526e7i | 0.211479 | − | 0.538841i | ||||
\(311\) | 1.20789e7 | + | 3.72586e6i | 0.401558 | + | 0.123864i | 0.488954 | − | 0.872309i | \(-0.337379\pi\) |
−0.0873965 | + | 0.996174i | \(0.527855\pi\) | |||||||
\(312\) | 4.81080e6 | + | 6.03255e6i | 0.158399 | + | 0.198626i | ||||
\(313\) | −2.80490e7 | − | 2.10198e6i | −0.914711 | − | 0.0685481i | −0.390949 | − | 0.920412i | \(-0.627853\pi\) |
−0.523763 | + | 0.851864i | \(0.675472\pi\) | |||||||
\(314\) | −5.06644e7 | + | 1.56279e7i | −1.63649 | + | 0.504791i | ||||
\(315\) | −9.61039e6 | − | 6.55225e6i | −0.307475 | − | 0.209633i | ||||
\(316\) | −4.32640e7 | − | 6.52100e6i | −1.37109 | − | 0.206658i | ||||
\(317\) | −1.78060e6 | − | 7.80130e6i | −0.0558969 | − | 0.244900i | 0.939259 | − | 0.343209i | \(-0.111514\pi\) |
−0.995156 | + | 0.0983087i | \(0.968657\pi\) | |||||||
\(318\) | 2.38798e7 | − | 2.21572e7i | 0.742591 | − | 0.689024i | ||||
\(319\) | −7.76560e6 | + | 581951.i | −0.239223 | + | 0.0179273i | ||||
\(320\) | −3.13363e7 | + | 1.22986e7i | −0.956308 | + | 0.375323i | ||||
\(321\) | 5.98025e6 | + | 3.96764e7i | 0.180802 | + | 1.19955i | ||||
\(322\) | 6.70895e7 | + | 3.23086e7i | 2.00950 | + | 0.967722i | ||||
\(323\) | 2.39311e7 | − | 4.96934e7i | 0.710157 | − | 1.47466i | ||||
\(324\) | −7.12380e7 | + | 1.07374e7i | −2.09448 | + | 0.315692i | ||||
\(325\) | −1.29328e6 | − | 3.29522e6i | −0.0376741 | − | 0.0959920i | ||||
\(326\) | 4.30056e6 | + | 5.73870e7i | 0.124129 | + | 1.65638i | ||||
\(327\) | −3.56305e7 | − | 3.84005e7i | −1.01901 | − | 1.09823i | ||||
\(328\) | 7.13137e6 | − | 1.62769e6i | 0.202093 | − | 0.0461264i | ||||
\(329\) | −4.12082e6 | + | 2.73399e7i | −0.115717 | + | 0.767730i | ||||
\(330\) | −1.38312e7 | + | 2.02867e7i | −0.384874 | + | 0.564507i | ||||
\(331\) | −2.97768e6 | − | 9.65340e6i | −0.0821096 | − | 0.266193i | 0.905203 | − | 0.424978i | \(-0.139718\pi\) |
−0.987313 | + | 0.158786i | \(0.949242\pi\) | |||||||
\(332\) | −7.64134e6 | + | 1.01967e8i | −0.208812 | + | 2.78640i | ||||
\(333\) | −1.84859e7 | + | 1.47420e7i | −0.500619 | + | 0.399231i | ||||
\(334\) | 2.81869e7 | − | 9.13798e7i | 0.756499 | − | 2.45251i | ||||
\(335\) | 1.13672e7 | + | 4.46131e6i | 0.302357 | + | 0.118667i | ||||
\(336\) | −2.02052e6 | + | 8.85250e6i | −0.0532655 | + | 0.233372i | ||||
\(337\) | −8.63415e6 | − | 1.49548e7i | −0.225595 | − | 0.390743i | 0.730903 | − | 0.682482i | \(-0.239099\pi\) |
−0.956498 | + | 0.291739i | \(0.905766\pi\) | |||||||
\(338\) | −5.31202e7 | − | 3.06690e7i | −1.37566 | − | 0.794235i | ||||
\(339\) | −6.47440e6 | − | 6.00737e6i | −0.166188 | − | 0.154200i | ||||
\(340\) | 4.16343e7 | + | 3.32022e7i | 1.05929 | + | 0.844755i | ||||
\(341\) | 9.10101e6 | − | 6.20496e6i | 0.229523 | − | 0.156486i | ||||
\(342\) | −4.16415e7 | + | 2.00535e7i | −1.04099 | + | 0.501317i | ||||
\(343\) | − | 3.61477e7i | − | 0.895773i | ||||||
\(344\) | −4.64312e7 | − | 2.00565e6i | −1.14060 | − | 0.0492698i | ||||
\(345\) | −4.16048e7 | −1.01318 | ||||||||
\(346\) | −4.44320e7 | − | 9.22641e7i | −1.07267 | − | 2.22743i | ||||
\(347\) | 3.26987e7 | + | 4.79602e7i | 0.782603 | + | 1.14787i | 0.985667 | + | 0.168703i | \(0.0539578\pi\) |
−0.203063 | + | 0.979166i | \(0.565090\pi\) | |||||||
\(348\) | 2.56181e7 | − | 3.21241e7i | 0.607868 | − | 0.762243i | ||||
\(349\) | −1.81117e7 | + | 1.95197e7i | −0.426071 | + | 0.459196i | −0.909204 | − | 0.416352i | \(-0.863308\pi\) |
0.483132 | + | 0.875547i | \(0.339499\pi\) | |||||||
\(350\) | 2.18157e7 | − | 3.77859e7i | 0.508821 | − | 0.881304i | ||||
\(351\) | −3.95473e6 | + | 2.28327e6i | −0.0914526 | + | 0.0528002i | ||||
\(352\) | −1.85752e7 | − | 4.23966e6i | −0.425897 | − | 0.0972082i | ||||
\(353\) | 2.18950e7 | − | 5.57876e7i | 0.497762 | − | 1.26828i | −0.432584 | − | 0.901594i | \(-0.642398\pi\) |
0.930346 | − | 0.366683i | \(-0.119507\pi\) | |||||||
\(354\) | 5.12864e7 | + | 1.58198e7i | 1.15609 | + | 0.356607i | ||||
\(355\) | −2.33638e7 | − | 2.92973e7i | −0.522226 | − | 0.654850i | ||||
\(356\) | 7.10766e7 | + | 5.32646e6i | 1.57535 | + | 0.118056i | ||||
\(357\) | −7.10687e7 | + | 2.19218e7i | −1.56197 | + | 0.481805i | ||||
\(358\) | −1.07372e7 | − | 7.32053e6i | −0.234015 | − | 0.159549i | ||||
\(359\) | −5.28142e7 | − | 7.96046e6i | −1.14148 | − | 0.172050i | −0.449029 | − | 0.893517i | \(-0.648230\pi\) |
−0.692448 | + | 0.721467i | \(0.743468\pi\) | |||||||
\(360\) | −4.07283e6 | − | 1.78442e7i | −0.0872948 | − | 0.382464i | ||||
\(361\) | 2.73783e7 | − | 2.54033e7i | 0.581949 | − | 0.539969i | ||||
\(362\) | 8.77592e7 | − | 6.57664e6i | 1.84998 | − | 0.138637i | ||||
\(363\) | 4.03942e7 | − | 1.58536e7i | 0.844499 | − | 0.331442i | ||||
\(364\) | 2.37790e6 | + | 1.57763e7i | 0.0493048 | + | 0.327116i | ||||
\(365\) | −4.08393e7 | − | 1.96672e7i | −0.839847 | − | 0.404449i | ||||
\(366\) | 6.57302e7 | − | 1.36490e8i | 1.34067 | − | 2.78393i | ||||
\(367\) | 1.37072e7 | − | 2.06603e6i | 0.277301 | − | 0.0417963i | −0.00891956 | − | 0.999960i | \(-0.502839\pi\) |
0.286220 | + | 0.958164i | \(0.407601\pi\) | |||||||
\(368\) | 4.08728e6 | + | 1.04142e7i | 0.0820145 | + | 0.208970i | ||||
\(369\) | −358217. | − | 4.78008e6i | −0.00712963 | − | 0.0951384i | ||||
\(370\) | 4.50758e7 | + | 4.85802e7i | 0.889894 | + | 0.959078i | ||||
\(371\) | 2.69355e7 | − | 6.14785e6i | 0.527476 | − | 0.120393i | ||||
\(372\) | −8.66204e6 | + | 5.74689e7i | −0.168264 | + | 1.11636i | ||||
\(373\) | 8.83087e6 | − | 1.29525e7i | 0.170168 | − | 0.249590i | −0.731676 | − | 0.681653i | \(-0.761262\pi\) |
0.901844 | + | 0.432062i | \(0.142214\pi\) | |||||||
\(374\) | 1.59397e7 | + | 5.16753e7i | 0.304695 | + | 0.987798i | ||||
\(375\) | −5.00475e6 | + | 6.67838e7i | −0.0949050 | + | 1.26642i | ||||
\(376\) | −3.40155e7 | + | 2.71265e7i | −0.639902 | + | 0.510305i | ||||
\(377\) | 1.32490e6 | − | 4.29521e6i | 0.0247262 | − | 0.0801605i | ||||
\(378\) | −5.23941e7 | − | 2.05632e7i | −0.970079 | − | 0.380728i | ||||
\(379\) | −1.74255e7 | + | 7.63463e7i | −0.320087 | + | 1.40239i | 0.517309 | + | 0.855799i | \(0.326934\pi\) |
−0.837396 | + | 0.546596i | \(0.815923\pi\) | |||||||
\(380\) | 4.07410e7 | + | 7.05655e7i | 0.742474 | + | 1.28600i | ||||
\(381\) | −2.84163e7 | − | 1.64062e7i | −0.513798 | − | 0.296642i | ||||
\(382\) | 1.64570e6 | + | 1.52699e6i | 0.0295230 | + | 0.0273934i | ||||
\(383\) | 6.10474e7 | + | 4.86837e7i | 1.08660 | + | 0.866538i | 0.991652 | − | 0.128944i | \(-0.0411589\pi\) |
0.0949519 | + | 0.995482i | \(0.469730\pi\) | |||||||
\(384\) | 1.00037e8 | − | 6.82041e7i | 1.76672 | − | 1.20453i | ||||
\(385\) | −1.87617e7 | + | 9.03514e6i | −0.328768 | + | 0.158326i | ||||
\(386\) | − | 1.05650e8i | − | 1.83700i | ||||||
\(387\) | −5.83458e6 | + | 2.98913e7i | −0.100665 | + | 0.515718i | ||||
\(388\) | 1.52032e8 | 2.60279 | ||||||||
\(389\) | 7.79776e6 | + | 1.61922e7i | 0.132471 | + | 0.275079i | 0.956644 | − | 0.291259i | \(-0.0940740\pi\) |
−0.824173 | + | 0.566338i | \(0.808360\pi\) | |||||||
\(390\) | −7.98344e6 | − | 1.17096e7i | −0.134585 | − | 0.197400i | ||||
\(391\) | −5.71329e7 | + | 7.16424e7i | −0.955776 | + | 1.19851i | ||||
\(392\) | −8.08615e6 | + | 8.71480e6i | −0.134241 | + | 0.144677i | ||||
\(393\) | 3.91654e7 | − | 6.78364e7i | 0.645245 | − | 1.11760i | ||||
\(394\) | −1.03985e8 | + | 6.00357e7i | −1.70013 | + | 0.981570i | ||||
\(395\) | 3.21354e7 | + | 7.33469e6i | 0.521426 | + | 0.119012i | ||||
\(396\) | 1.04134e7 | − | 2.65330e7i | 0.167690 | − | 0.427268i | ||||
\(397\) | 1.70885e6 | + | 527111.i | 0.0273107 | + | 0.00842424i | 0.308380 | − | 0.951263i | \(-0.400213\pi\) |
−0.281070 | + | 0.959687i | \(0.590689\pi\) | |||||||
\(398\) | −7.22964e7 | − | 9.06568e7i | −1.14675 | − | 1.43797i | ||||
\(399\) | −1.13481e8 | − | 8.50422e6i | −1.78650 | − | 0.133880i | ||||
\(400\) | 6.26403e6 | − | 1.93220e6i | 0.0978755 | − | 0.0301906i | ||||
\(401\) | 8.21655e6 | + | 5.60195e6i | 0.127426 | + | 0.0868772i | 0.625356 | − | 0.780340i | \(-0.284954\pi\) |
−0.497930 | + | 0.867217i | \(0.665906\pi\) | |||||||
\(402\) | −6.46984e7 | − | 9.75172e6i | −0.995900 | − | 0.150108i | ||||
\(403\) | 1.41476e6 | + | 6.19849e6i | 0.0216157 | + | 0.0947045i | ||||
\(404\) | −1.49047e8 | + | 1.38295e8i | −2.26036 | + | 2.09731i | ||||
\(405\) | 5.41228e7 | − | 4.05594e6i | 0.814732 | − | 0.0610557i | ||||
\(406\) | 5.15723e7 | − | 2.02406e7i | 0.770616 | − | 0.302445i | ||||
\(407\) | 6.30903e6 | + | 4.18577e7i | 0.0935793 | + | 0.620858i | ||||
\(408\) | −1.05442e8 | − | 5.07783e7i | −1.55251 | − | 0.747649i | ||||
\(409\) | −4.37332e7 | + | 9.08129e7i | −0.639206 | + | 1.32733i | 0.289738 | + | 0.957106i | \(0.406432\pi\) |
−0.928944 | + | 0.370220i | \(0.879282\pi\) | |||||||
\(410\) | −1.32853e7 | + | 2.00243e6i | −0.192761 | + | 0.0290540i | ||||
\(411\) | −4.86475e7 | − | 1.23952e8i | −0.700705 | − | 1.78537i | ||||
\(412\) | 8.81505e6 | + | 1.17629e8i | 0.126047 | + | 1.68198i | ||||
\(413\) | 3.09609e7 | + | 3.33679e7i | 0.439505 | + | 0.473673i | ||||
\(414\) | 7.48614e7 | − | 1.70866e7i | 1.05501 | − | 0.240799i | ||||
\(415\) | 1.14813e7 | − | 7.61732e7i | 0.160637 | − | 1.06576i | ||||
\(416\) | 6.19505e6 | − | 9.08647e6i | 0.0860527 | − | 0.126216i | ||||
\(417\) | 2.38184e7 | + | 7.72175e7i | 0.328477 | + | 1.06490i | ||||
\(418\) | −6.18356e6 | + | 8.25139e7i | −0.0846662 | + | 1.12979i | ||||
\(419\) | 3.19524e7 | − | 2.54812e7i | 0.434371 | − | 0.346399i | −0.381765 | − | 0.924260i | \(-0.624684\pi\) |
0.816136 | + | 0.577860i | \(0.196112\pi\) | |||||||
\(420\) | 3.23854e7 | − | 1.04991e8i | 0.437121 | − | 1.41711i | ||||
\(421\) | 9.25515e7 | + | 3.63238e7i | 1.24033 | + | 0.486794i | 0.892621 | − | 0.450809i | \(-0.148864\pi\) |
0.347709 | + | 0.937602i | \(0.386960\pi\) | |||||||
\(422\) | 2.21914e7 | − | 9.72270e7i | 0.295289 | − | 1.29375i | ||||
\(423\) | 1.42556e7 | + | 2.46914e7i | 0.188349 | + | 0.326230i | ||||
\(424\) | 3.76507e7 | + | 2.17376e7i | 0.493941 | + | 0.285177i | ||||
\(425\) | 3.93592e7 | + | 3.65200e7i | 0.512719 | + | 0.475734i | ||||
\(426\) | 1.56977e8 | + | 1.25185e8i | 2.03051 | + | 1.61928i | ||||
\(427\) | 1.06158e8 | − | 7.23773e7i | 1.36354 | − | 0.929649i | ||||
\(428\) | −1.17627e8 | + | 5.66461e7i | −1.50029 | + | 0.722502i | ||||
\(429\) | − | 9.05241e6i | − | 0.114655i | ||||||
\(430\) | 8.47682e7 | + | 1.00467e7i | 1.06617 | + | 0.126362i | ||||
\(431\) | −2.93301e7 | −0.366338 | −0.183169 | − | 0.983081i | \(-0.558636\pi\) | ||||
−0.183169 | + | 0.983081i | \(0.558636\pi\) | |||||||
\(432\) | −3.66907e6 | − | 7.61890e6i | −0.0455098 | − | 0.0945020i | ||||
\(433\) | −1.55527e7 | − | 2.28116e7i | −0.191577 | − | 0.280991i | 0.718418 | − | 0.695612i | \(-0.244867\pi\) |
−0.909994 | + | 0.414621i | \(0.863914\pi\) | |||||||
\(434\) | −4.88593e7 | + | 6.12677e7i | −0.597693 | + | 0.749484i | ||||
\(435\) | −2.10544e7 | + | 2.26913e7i | −0.255785 | + | 0.275671i | ||||
\(436\) | 8.52234e7 | − | 1.47611e8i | 1.02825 | − | 1.78098i | ||||
\(437\) | −1.21426e8 | + | 7.01054e7i | −1.45502 | + | 0.840053i | ||||
\(438\) | 2.36782e8 | + | 5.40440e7i | 2.81791 | + | 0.643169i | ||||
\(439\) | −1.17467e7 | + | 2.99300e7i | −0.138842 | + | 0.353764i | −0.983335 | − | 0.181803i | \(-0.941807\pi\) |
0.844493 | + | 0.535567i | \(0.179902\pi\) | |||||||
\(440\) | −3.13123e7 | − | 9.65857e6i | −0.367584 | − | 0.113385i | ||||
\(441\) | 4.85738e6 | + | 6.09097e6i | 0.0566352 | + | 0.0710183i | ||||
\(442\) | −3.11266e7 | − | 2.33262e6i | −0.360467 | − | 0.0270133i | ||||
\(443\) | 6.65570e7 | − | 2.05301e7i | 0.765566 | − | 0.236146i | 0.112710 | − | 0.993628i | \(-0.464047\pi\) |
0.652856 | + | 0.757482i | \(0.273571\pi\) | |||||||
\(444\) | −1.84538e8 | − | 1.25816e8i | −2.10832 | − | 1.43743i | ||||
\(445\) | −5.30971e7 | − | 8.00311e6i | −0.602547 | − | 0.0908194i | ||||
\(446\) | −5.05436e7 | − | 2.21446e8i | −0.569720 | − | 2.49611i | ||||
\(447\) | −1.12331e8 | + | 1.04228e8i | −1.25770 | + | 1.16698i | ||||
\(448\) | 1.52547e8 | − | 1.14318e7i | 1.69656 | − | 0.127140i | ||||
\(449\) | 1.35292e8 | − | 5.30981e7i | 1.49463 | − | 0.586597i | 0.529483 | − | 0.848321i | \(-0.322386\pi\) |
0.965143 | + | 0.261723i | \(0.0842908\pi\) | |||||||
\(450\) | −6.70578e6 | − | 4.44899e7i | −0.0735888 | − | 0.488230i | ||||
\(451\) | −7.73191e6 | − | 3.72349e6i | −0.0842863 | − | 0.0405902i | ||||
\(452\) | 1.24688e7 | − | 2.58918e7i | 0.135024 | − | 0.280380i | ||||
\(453\) | −4.55068e7 | + | 6.85904e6i | −0.489532 | + | 0.0737851i | ||||
\(454\) | −4.04554e6 | − | 1.03079e7i | −0.0432324 | − | 0.110154i | ||||
\(455\) | −898227. | − | 1.19860e7i | −0.00953569 | − | 0.127245i | ||||
\(456\) | −1.21800e8 | − | 1.31269e8i | −1.28456 | − | 1.38442i | ||||
\(457\) | −1.75718e8 | + | 4.01065e7i | −1.84106 | + | 0.420210i | −0.993820 | − | 0.111002i | \(-0.964594\pi\) |
−0.847239 | + | 0.531212i | \(0.821737\pi\) | |||||||
\(458\) | −3.53364e7 | + | 2.34442e8i | −0.367812 | + | 2.44028i | ||||
\(459\) | 3.90175e7 | − | 5.72281e7i | 0.403479 | − | 0.591795i | ||||
\(460\) | −3.99017e7 | − | 1.29358e8i | −0.409938 | − | 1.32899i | ||||
\(461\) | 4.47356e6 | − | 5.96955e7i | 0.0456615 | − | 0.609311i | −0.926696 | − | 0.375813i | \(-0.877364\pi\) |
0.972357 | − | 0.233498i | \(-0.0750173\pi\) | |||||||
\(462\) | 8.72333e7 | − | 6.95662e7i | 0.884619 | − | 0.705460i | ||||
\(463\) | 4.93802e7 | − | 1.60087e8i | 0.497519 | − | 1.61292i | −0.263827 | − | 0.964570i | \(-0.584985\pi\) |
0.761346 | − | 0.648346i | \(-0.224539\pi\) | |||||||
\(464\) | 7.74831e6 | + | 3.04099e6i | 0.0775627 | + | 0.0304411i | ||||
\(465\) | 9.74289e6 | − | 4.26864e7i | 0.0969011 | − | 0.424552i | ||||
\(466\) | −1.94296e7 | − | 3.36531e7i | −0.192002 | − | 0.332558i | ||||
\(467\) | −1.48352e7 | − | 8.56511e6i | −0.145661 | − | 0.0840974i | 0.425398 | − | 0.905006i | \(-0.360134\pi\) |
−0.571059 | + | 0.820909i | \(0.693467\pi\) | |||||||
\(468\) | 1.20603e7 | + | 1.11904e7i | 0.117658 | + | 0.109171i | ||||
\(469\) | −4.33851e7 | − | 3.45985e7i | −0.420554 | − | 0.335381i | ||||
\(470\) | 6.60263e7 | − | 4.50160e7i | 0.635951 | − | 0.433584i | ||||
\(471\) | −1.21286e8 | + | 5.84084e7i | −1.16078 | + | 0.559001i | ||||
\(472\) | 7.16282e7i | 0.681174i | ||||||||
\(473\) | 4.11221e7 | + | 3.58035e7i | 0.388590 | + | 0.338331i | ||||
\(474\) | −1.76611e8 | −1.65838 | ||||||||
\(475\) | 3.56458e7 | + | 7.40194e7i | 0.332604 | + | 0.690660i | ||||
\(476\) | −1.36319e8 | − | 1.99943e8i | −1.26397 | − | 1.85390i | ||||
\(477\) | 1.77632e7 | − | 2.22744e7i | 0.163669 | − | 0.205235i | ||||
\(478\) | −1.63752e8 | + | 1.76483e8i | −1.49935 | + | 1.61592i | ||||
\(479\) | 5.49964e7 | − | 9.52566e7i | 0.500412 | − | 0.866739i | −0.499588 | − | 0.866263i | \(-0.666515\pi\) |
1.00000 | 0.000475894i | \(-0.000151482\pi\) | ||||||||
\(480\) | −6.55879e7 | + | 3.78672e7i | −0.593062 | + | 0.342404i | ||||
\(481\) | −2.38207e7 | − | 5.43693e6i | −0.214052 | − | 0.0488561i | ||||
\(482\) | −4.72788e7 | + | 1.20464e8i | −0.422207 | + | 1.07577i | ||||
\(483\) | 1.80664e8 | + | 5.57274e7i | 1.60335 | + | 0.494569i | ||||
\(484\) | 8.80328e7 | + | 1.10390e8i | 0.776441 | + | 0.973626i | ||||
\(485\) | −1.14216e8 | − | 8.55927e6i | −1.00115 | − | 0.0750260i | ||||
\(486\) | −1.72335e8 | + | 5.31584e7i | −1.50129 | + | 0.463087i | ||||
\(487\) | −1.70589e7 | − | 1.16305e7i | −0.147694 | − | 0.100696i | 0.487219 | − | 0.873280i | \(-0.338012\pi\) |
−0.634913 | + | 0.772584i | \(0.718964\pi\) | |||||||
\(488\) | 1.99921e8 | + | 3.01333e7i | 1.72028 | + | 0.259291i | ||||
\(489\) | 3.25134e7 | + | 1.42451e8i | 0.278058 | + | 1.21825i | ||||
\(490\) | 1.60068e7 | − | 1.48522e7i | 0.136056 | − | 0.126241i | ||||
\(491\) | −2.00094e8 | + | 1.49950e7i | −1.69040 | + | 0.126678i | −0.884859 | − | 0.465860i | \(-0.845745\pi\) |
−0.805543 | + | 0.592538i | \(0.798126\pi\) | |||||||
\(492\) | 4.21497e7 | − | 1.65425e7i | 0.353915 | − | 0.138901i | ||||
\(493\) | 1.01612e7 | + | 6.74155e7i | 0.0848020 | + | 0.562625i | ||||
\(494\) | −4.30311e7 | − | 2.07227e7i | −0.356945 | − | 0.171896i | ||||
\(495\) | −9.31698e6 | + | 1.93469e7i | −0.0768174 | + | 0.159513i | ||||
\(496\) | −1.16421e7 | + | 1.75476e6i | −0.0954082 | + | 0.0143805i | ||||
\(497\) | 6.22122e7 | + | 1.58514e8i | 0.506765 | + | 1.29122i | ||||
\(498\) | 3.08449e7 | + | 4.11597e8i | 0.249744 | + | 3.33260i | ||||
\(499\) | 1.37386e8 | + | 1.48067e8i | 1.10571 | + | 1.19167i | 0.979873 | + | 0.199622i | \(0.0639714\pi\) |
0.125838 | + | 0.992051i | \(0.459838\pi\) | |||||||
\(500\) | −2.12445e8 | + | 4.84892e7i | −1.69956 | + | 0.387913i | ||||
\(501\) | 3.61874e7 | − | 2.40088e8i | 0.287769 | − | 1.90923i | ||||
\(502\) | −1.09635e8 | + | 1.60805e8i | −0.866641 | + | 1.27113i | ||||
\(503\) | 4.74589e7 | + | 1.53858e8i | 0.372918 | + | 1.20897i | 0.926538 | + | 0.376202i | \(0.122770\pi\) |
−0.553619 | + | 0.832770i | \(0.686754\pi\) | |||||||
\(504\) | −6.21562e6 | + | 8.29416e7i | −0.0485504 | + | 0.647860i | ||||
\(505\) | 1.19759e8 | − | 9.55044e7i | 0.929893 | − | 0.741565i | ||||
\(506\) | 4.05203e7 | − | 1.31364e8i | 0.312767 | − | 1.01397i | ||||
\(507\) | −1.44971e8 | − | 5.68970e7i | −1.11239 | − | 0.436582i | ||||
\(508\) | 2.37572e7 | − | 1.04087e8i | 0.181219 | − | 0.793972i | ||||
\(509\) | 3.56482e7 | + | 6.17445e7i | 0.270324 | + | 0.468215i | 0.968945 | − | 0.247277i | \(-0.0795359\pi\) |
−0.698621 | + | 0.715492i | \(0.746203\pi\) | |||||||
\(510\) | 1.86158e8 | + | 1.07479e8i | 1.40337 | + | 0.810236i | ||||
\(511\) | 1.50997e8 | + | 1.40104e8i | 1.13163 | + | 1.05000i | ||||
\(512\) | 3.73615e7 | + | 2.97948e7i | 0.278365 | + | 0.221988i | ||||
\(513\) | 8.75656e7 | − | 5.97012e7i | 0.648607 | − | 0.442212i | ||||
\(514\) | 2.87159e6 | − | 1.38288e6i | 0.0211462 | − | 0.0101835i | ||||
\(515\) | − | 8.88660e7i | − | 0.650600i | ||||||
\(516\) | −2.86058e8 | + | 3.05607e7i | −2.08211 | + | 0.222440i | ||||
\(517\) | 5.10435e7 | 0.369376 | ||||||||
\(518\) | −1.30666e8 | − | 2.71330e8i | −0.940095 | − | 1.95213i | ||||
\(519\) | −1.46467e8 | − | 2.14828e8i | −1.04770 | − | 1.53670i | ||||
\(520\) | 1.17926e7 | − | 1.47875e7i | 0.0838687 | − | 0.105168i | ||||
\(521\) | 5.13177e7 | − | 5.53073e7i | 0.362872 | − | 0.391083i | −0.525054 | − | 0.851069i | \(-0.675955\pi\) |
0.887926 | + | 0.459986i | \(0.152145\pi\) | |||||||
\(522\) | 2.85651e7 | − | 4.94762e7i | 0.200828 | − | 0.347844i | ||||
\(523\) | −1.84185e8 | + | 1.06339e8i | −1.28750 | + | 0.743340i | −0.978208 | − | 0.207626i | \(-0.933426\pi\) |
−0.309295 | + | 0.950966i | \(0.600093\pi\) | |||||||
\(524\) | 2.48480e8 | + | 5.67140e7i | 1.72702 | + | 0.394181i | ||||
\(525\) | 4.04725e7 | − | 1.03122e8i | 0.279693 | − | 0.712647i | ||||
\(526\) | 1.19260e8 | + | 3.67867e7i | 0.819475 | + | 0.252775i | ||||
\(527\) | −6.01256e7 | − | 7.53952e7i | −0.410798 | − | 0.515124i | ||||
\(528\) | 1.67164e7 | + | 1.25272e6i | 0.113564 | + | 0.00851047i | ||||
\(529\) | 8.11349e7 | − | 2.50268e7i | 0.548076 | − | 0.169059i | ||||
\(530\) | −6.59774e7 | − | 4.49826e7i | −0.443167 | − | 0.302146i | ||||
\(531\) | 4.64148e7 | + | 6.99591e6i | 0.310008 | + | 0.0467262i | ||||
\(532\) | −8.23942e7 | − | 3.60992e8i | −0.547219 | − | 2.39753i | ||||
\(533\) | 3.63112e6 | − | 3.36919e6i | 0.0239806 | − | 0.0222507i | ||||
\(534\) | 2.86907e8 | − | 2.15007e7i | 1.88416 | − | 0.141198i | ||||
\(535\) | 9.15575e7 | − | 3.59337e7i | 0.597905 | − | 0.234661i | ||||
\(536\) | −1.30145e7 | − | 8.63455e7i | −0.0845148 | − | 0.560719i | ||||
\(537\) | −2.97275e7 | − | 1.43160e7i | −0.191971 | − | 0.0924485i | ||||
\(538\) | −476885. | + | 990261.i | −0.00306243 | + | 0.00635921i | ||||
\(539\) | 1.37918e7 | − | 2.07878e6i | 0.0880755 | − | 0.0132752i | ||||
\(540\) | 3.73831e7 | + | 9.52506e7i | 0.237407 | + | 0.604904i | ||||
\(541\) | −6.63534e6 | − | 8.85425e7i | −0.0419056 | − | 0.559191i | −0.978158 | − | 0.207863i | \(-0.933349\pi\) |
0.936252 | − | 0.351328i | \(-0.114270\pi\) | |||||||
\(542\) | −2.17184e8 | − | 2.34069e8i | −1.36405 | − | 1.47010i | ||||
\(543\) | 2.17843e8 | − | 4.97212e7i | 1.36064 | − | 0.310558i | ||||
\(544\) | −2.48609e7 | + | 1.64941e8i | −0.154426 | + | 1.02455i | ||||
\(545\) | −7.23353e7 | + | 1.06096e8i | −0.446849 | + | 0.655407i | ||||
\(546\) | 1.89828e7 | + | 6.15407e7i | 0.116622 | + | 0.378080i | ||||
\(547\) | 2.00956e7 | − | 2.68157e8i | 0.122783 | − | 1.63843i | −0.507206 | − | 0.861825i | \(-0.669322\pi\) |
0.629989 | − | 0.776604i | \(-0.283059\pi\) | |||||||
\(548\) | 3.38737e8 | − | 2.70133e8i | 2.05836 | − | 1.64148i | ||||
\(549\) | 3.90525e7 | − | 1.26605e8i | 0.236011 | − | 0.765129i | ||||
\(550\) | −7.49819e7 | − | 2.94282e7i | −0.450680 | − | 0.176879i | ||||
\(551\) | −2.32131e7 | + | 1.01703e8i | −0.138764 | + | 0.607966i | ||||
\(552\) | 1.48753e8 | + | 2.57649e8i | 0.884402 | + | 1.53183i | ||||
\(553\) | −1.29719e8 | − | 7.48936e7i | −0.767061 | − | 0.442863i | ||||
\(554\) | 1.16033e8 | + | 1.07663e8i | 0.682423 | + | 0.633196i | ||||
\(555\) | 1.31553e8 | + | 1.04910e8i | 0.769521 | + | 0.613673i | ||||
\(556\) | −2.17242e8 | + | 1.48113e8i | −1.26392 | + | 0.861727i | ||||
\(557\) | 2.72393e8 | − | 1.31178e8i | 1.57627 | − | 0.759092i | 0.577898 | − | 0.816109i | \(-0.303873\pi\) |
0.998373 | + | 0.0570171i | \(0.0181590\pi\) | |||||||
\(558\) | 8.08088e7i | 0.465110i | ||||||||
\(559\) | −2.79090e7 | + | 1.45450e7i | −0.159775 | + | 0.0832679i | ||||
\(560\) | 2.22580e7 | 0.126743 | ||||||||
\(561\) | 5.95737e7 | + | 1.23706e8i | 0.337416 | + | 0.700652i | ||||
\(562\) | −2.86864e7 | − | 4.20753e7i | −0.161610 | − | 0.237038i | ||||
\(563\) | 526901. | − | 660713.i | 0.00295260 | − | 0.00370244i | −0.780353 | − | 0.625339i | \(-0.784961\pi\) |
0.783306 | + | 0.621637i | \(0.213532\pi\) | |||||||
\(564\) | −1.83184e8 | + | 1.97425e8i | −1.02106 | + | 1.10044i | ||||
\(565\) | −1.08250e7 | + | 1.87495e7i | −0.0600182 | + | 0.103955i | ||||
\(566\) | 2.35391e8 | − | 1.35903e8i | 1.29819 | − | 0.749513i | ||||
\(567\) | −2.40454e8 | − | 5.48820e7i | −1.31912 | − | 0.301079i | ||||
\(568\) | −9.78962e7 | + | 2.49435e8i | −0.534221 | + | 1.36117i | ||||
\(569\) | −9.08240e7 | − | 2.80155e7i | −0.493019 | − | 0.152076i | 0.0382688 | − | 0.999267i | \(-0.487816\pi\) |
−0.531288 | + | 0.847191i | \(0.678292\pi\) | |||||||
\(570\) | 2.05072e8 | + | 2.57152e8i | 1.10734 | + | 1.38856i | ||||
\(571\) | −1.48086e8 | − | 1.10975e7i | −0.795435 | − | 0.0596096i | −0.329188 | − | 0.944264i | \(-0.606775\pi\) |
−0.466247 | + | 0.884655i | \(0.654394\pi\) | |||||||
\(572\) | 2.81459e7 | − | 8.68185e6i | 0.150393 | − | 0.0463900i | ||||
\(573\) | 4.70960e6 | + | 3.21095e6i | 0.0250334 | + | 0.0170675i | ||||
\(574\) | 6.03717e7 | + | 9.09957e6i | 0.319226 | + | 0.0481155i | ||||
\(575\) | −3.03721e7 | − | 1.33069e8i | −0.159761 | − | 0.699959i | ||||
\(576\) | 1.15637e8 | − | 1.07295e8i | 0.605101 | − | 0.561452i | ||||
\(577\) | 1.30710e8 | − | 9.79535e6i | 0.680426 | − | 0.0509909i | 0.269967 | − | 0.962870i | \(-0.412987\pi\) |
0.410460 | + | 0.911879i | \(0.365368\pi\) | |||||||
\(578\) | 1.45603e8 | − | 5.71448e7i | 0.754025 | − | 0.295933i | ||||
\(579\) | −3.99799e7 | − | 2.65249e8i | −0.205971 | − | 1.36653i | ||||
\(580\) | −9.07446e7 | − | 4.37003e7i | −0.465090 | − | 0.223975i | ||||
\(581\) | −1.51886e8 | + | 3.15394e8i | −0.774442 | + | 1.60814i | ||||
\(582\) | 6.06835e8 | − | 9.14657e7i | 3.07824 | − | 0.463970i | ||||
\(583\) | −1.86345e7 | − | 4.74798e7i | −0.0940397 | − | 0.239609i | ||||
\(584\) | 2.42224e7 | + | 3.23226e8i | 0.121613 | + | 1.62281i | ||||
\(585\) | −8.43044e6 | − | 9.08585e6i | −0.0421097 | − | 0.0453835i | ||||
\(586\) | −1.15162e8 | + | 2.62849e7i | −0.572288 | + | 0.130621i | ||||
\(587\) | −5.01977e7 | + | 3.33040e8i | −0.248182 | + | 1.64658i | 0.423616 | + | 0.905842i | \(0.360761\pi\) |
−0.671797 | + | 0.740735i | \(0.734477\pi\) | |||||||
\(588\) | −4.14554e7 | + | 6.08039e7i | −0.203915 | + | 0.299088i | ||||
\(589\) | −4.34926e7 | − | 1.41000e8i | −0.212848 | − | 0.690037i | ||||
\(590\) | 9.83167e6 | − | 1.31195e8i | 0.0478709 | − | 0.638792i | ||||
\(591\) | −2.38350e8 | + | 1.90078e8i | −1.15466 | + | 0.920808i | ||||
\(592\) | 1.33364e7 | − | 4.32357e7i | 0.0642798 | − | 0.208390i | ||||
\(593\) | 1.02774e8 | + | 4.03357e7i | 0.492853 | + | 0.193431i | 0.598734 | − | 0.800948i | \(-0.295671\pi\) |
−0.105880 | + | 0.994379i | \(0.533766\pi\) | |||||||
\(594\) | −2.31222e7 | + | 1.01305e8i | −0.110324 | + | 0.483361i | ||||
\(595\) | 9.11544e7 | + | 1.57884e8i | 0.432740 | + | 0.749527i | ||||
\(596\) | −4.31801e8 | − | 2.49300e8i | −2.03960 | − | 1.17756i | ||||
\(597\) | −2.15816e8 | − | 2.00248e8i | −1.01429 | − | 0.941121i | ||||
\(598\) | 6.20374e7 | + | 4.94732e7i | 0.290102 | + | 0.231348i | ||||
\(599\) | 1.96063e8 | − | 1.33674e8i | 0.912254 | − | 0.621965i | −0.0135743 | − | 0.999908i | \(-0.504321\pi\) |
0.925829 | + | 0.377943i | \(0.123369\pi\) | |||||||
\(600\) | 1.57058e8 | − | 7.56353e7i | 0.727122 | − | 0.350164i | ||||
\(601\) | − | 3.26037e8i | − | 1.50191i | −0.660353 | − | 0.750955i | \(-0.729593\pi\) | ||
0.660353 | − | 0.750955i | \(-0.270407\pi\) | |||||||
\(602\) | −3.54638e8 | − | 1.57169e8i | −1.62553 | − | 0.720406i | ||||
\(603\) | −5.72226e7 | −0.260985 | ||||||||
\(604\) | −6.49702e7 | − | 1.34912e8i | −0.294852 | − | 0.612265i | ||||
\(605\) | −5.99207e7 | − | 8.78875e7i | −0.270589 | − | 0.396882i | ||||
\(606\) | −5.11718e8 | + | 6.41674e8i | −2.29939 | + | 2.88335i | ||||
\(607\) | −1.91601e8 | + | 2.06497e8i | −0.856708 | + | 0.923312i | −0.997774 | − | 0.0666886i | \(-0.978757\pi\) |
0.141066 | + | 0.990000i | \(0.454947\pi\) | |||||||
\(608\) | −1.27615e8 | + | 2.21035e8i | −0.567793 | + | 0.983446i | ||||
\(609\) | 1.21820e8 | − | 7.03328e7i | 0.539345 | − | 0.311391i | ||||
\(610\) | −3.62041e8 | − | 8.26334e7i | −1.59503 | − | 0.364054i | ||||
\(611\) | −1.07639e7 | + | 2.74259e7i | −0.0471894 | + | 0.120237i | ||||
\(612\) | −2.38455e8 | − | 7.35535e7i | −1.04028 | − | 0.320885i | ||||
\(613\) | −1.12902e8 | − | 1.41575e8i | −0.490140 | − | 0.614617i | 0.473833 | − | 0.880615i | \(-0.342870\pi\) |
−0.963974 | + | 0.265998i | \(0.914299\pi\) | |||||||
\(614\) | 3.48683e8 | + | 2.61302e7i | 1.50635 | + | 0.112885i | ||||
\(615\) | −3.25967e7 | + | 1.00548e7i | −0.140136 | + | 0.0432261i | ||||
\(616\) | 1.23033e8 | + | 8.38822e7i | 0.526354 | + | 0.358862i | ||||
\(617\) | −8.96062e7 | − | 1.35060e7i | −0.381490 | − | 0.0575003i | −0.0445017 | − | 0.999009i | \(-0.514170\pi\) |
−0.336988 | + | 0.941509i | \(0.609408\pi\) | |||||||
\(618\) | 1.05953e8 | + | 4.64212e8i | 0.448899 | + | 1.96676i | ||||
\(619\) | 4.98387e7 | − | 4.62436e7i | 0.210133 | − | 0.194975i | −0.568084 | − | 0.822971i | \(-0.692315\pi\) |
0.778217 | + | 0.627996i | \(0.216124\pi\) | |||||||
\(620\) | 1.42065e8 | − | 1.06463e7i | 0.596091 | − | 0.0446708i | ||||
\(621\) | −1.63903e8 | + | 6.43272e7i | −0.684403 | + | 0.268609i | ||||
\(622\) | 2.47443e7 | + | 1.64168e8i | 0.102826 | + | 0.682208i | ||||
\(623\) | 2.19848e8 | + | 1.05873e8i | 0.909198 | + | 0.437846i | ||||
\(624\) | −4.19819e6 | + | 8.71764e6i | −0.0172786 | + | 0.0358794i | ||||
\(625\) | 2.41590e7 | − | 3.64138e6i | 0.0989552 | − | 0.0149151i | ||||
\(626\) | −1.34968e8 | − | 3.43894e8i | −0.550186 | − | 1.40185i | ||||
\(627\) | 1.57000e7 | + | 2.09502e8i | 0.0636939 | + | 0.849937i | ||||
\(628\) | −2.97925e8 | − | 3.21087e8i | −1.20290 | − | 1.29642i | ||||
\(629\) | 3.61304e8 | − | 8.24652e7i | 1.45185 | − | 0.331374i | ||||
\(630\) | 2.27691e7 | − | 1.51063e8i | 0.0910592 | − | 0.604138i | ||||
\(631\) | 1.30519e8 | − | 1.91436e8i | 0.519501 | − | 0.761968i | −0.473408 | − | 0.880843i | \(-0.656977\pi\) |
0.992909 | + | 0.118875i | \(0.0379289\pi\) | |||||||
\(632\) | −6.94746e7 | − | 2.25231e8i | −0.275217 | − | 0.892231i | ||||
\(633\) | 1.89222e7 | − | 2.52499e8i | 0.0746038 | − | 0.995518i | ||||
\(634\) | 8.21691e7 | − | 6.55277e7i | 0.322434 | − | 0.257133i | ||||
\(635\) | −2.37078e7 | + | 7.68589e7i | −0.0925913 | + | 0.300174i | ||||
\(636\) | 2.50516e8 | + | 9.83204e7i | 0.973788 | + | 0.382184i | ||||
\(637\) | −1.79143e6 | + | 7.84876e6i | −0.00693076 | + | 0.0303657i | ||||
\(638\) | −5.11402e7 | − | 8.85773e7i | −0.196925 | − | 0.341083i | ||||
\(639\) | 1.52072e8 | + | 8.77986e7i | 0.582835 | + | 0.336500i | ||||
\(640\) | −2.17562e8 | − | 2.01868e8i | −0.829933 | − | 0.770066i | ||||
\(641\) | −1.07495e8 | − | 8.57244e7i | −0.408145 | − | 0.325485i | 0.397803 | − | 0.917471i | \(-0.369773\pi\) |
−0.805948 | + | 0.591986i | \(0.798344\pi\) | |||||||
\(642\) | −4.35428e8 | + | 2.96870e8i | −1.64555 | + | 1.12192i | ||||
\(643\) | −1.51164e8 | + | 7.27968e7i | −0.568612 | + | 0.273829i | −0.696021 | − | 0.718021i | \(-0.745048\pi\) |
0.127409 | + | 0.991850i | \(0.459334\pi\) | |||||||
\(644\) | 6.15168e8i | 2.30322i | ||||||||
\(645\) | 2.16624e8 | − | 6.85421e6i | 0.807287 | − | 0.0255434i | ||||
\(646\) | 7.24419e8 | 2.68715 | ||||||||
\(647\) | 1.59124e8 | + | 3.30425e8i | 0.587520 | + | 1.22000i | 0.956818 | + | 0.290688i | \(0.0938840\pi\) |
−0.369298 | + | 0.929311i | \(0.620402\pi\) | |||||||
\(648\) | −2.18627e8 | − | 3.20667e8i | −0.803488 | − | 1.17850i | ||||
\(649\) | 5.23950e7 | − | 6.57013e7i | 0.191671 | − | 0.240348i | ||||
\(650\) | 3.16238e7 | − | 3.40824e7i | 0.115153 | − | 0.124105i | ||||
\(651\) | −9.94833e7 | + | 1.72310e8i | −0.360585 | + | 0.624551i | ||||
\(652\) | −4.11727e8 | + | 2.37711e8i | −1.48548 | + | 0.857641i | ||||
\(653\) | −2.94257e8 | − | 6.71623e7i | −1.05679 | − | 0.241205i | −0.341390 | − | 0.939922i | \(-0.610898\pi\) |
−0.715398 | + | 0.698717i | \(0.753755\pi\) | |||||||
\(654\) | 2.51363e8 | − | 6.40463e8i | 0.898604 | − | 2.28960i | ||||
\(655\) | −1.83480e8 | − | 5.65961e7i | −0.652928 | − | 0.201402i | ||||
\(656\) | 5.71915e6 | + | 7.17158e6i | 0.0202591 | + | 0.0254041i | ||||
\(657\) | 2.11815e8 | + | 1.58733e7i | 0.746896 | + | 0.0559721i | ||||
\(658\) | −3.47007e8 | + | 1.07038e8i | −1.21804 | + | 0.375715i | ||||
\(659\) | 1.90222e8 | + | 1.29691e8i | 0.664669 | + | 0.453163i | 0.848077 | − | 0.529873i | \(-0.177761\pi\) |
−0.183408 | + | 0.983037i | \(0.558713\pi\) | |||||||
\(660\) | −2.00575e8 | − | 3.02318e7i | −0.697661 | − | 0.105156i | ||||
\(661\) | 4.09368e7 | + | 1.79356e8i | 0.141745 | + | 0.621028i | 0.995029 | + | 0.0995810i | \(0.0317502\pi\) |
−0.853284 | + | 0.521447i | \(0.825393\pi\) | |||||||
\(662\) | 9.72640e7 | − | 9.02478e7i | 0.335257 | − | 0.311073i | ||||
\(663\) | −7.90304e7 | + | 5.92251e6i | −0.271178 | + | 0.0203220i | ||||
\(664\) | −5.12772e8 | + | 2.01248e8i | −1.75154 | + | 0.687429i | ||||
\(665\) | 4.15759e7 | + | 2.75838e8i | 0.141376 | + | 0.937970i | ||||
\(666\) | −2.79794e8 | − | 1.34742e8i | −0.947142 | − | 0.456120i | ||||
\(667\) | 7.51975e7 | − | 1.56149e8i | 0.253411 | − | 0.526214i | ||||
\(668\) | 7.81191e8 | − | 1.17746e8i | 2.62076 | − | 0.395017i | ||||
\(669\) | −2.10696e8 | − | 5.36844e8i | −0.703684 | − | 1.79296i | ||||
\(670\) | 1.19856e7 | + | 1.59937e8i | 0.0398507 | + | 0.531771i | ||||
\(671\) | −1.61337e8 | − | 1.73880e8i | −0.534030 | − | 0.575547i | ||||
\(672\) | 3.35528e8 | − | 7.65821e7i | 1.10566 | − | 0.252359i | ||||
\(673\) | −9.14071e6 | + | 6.06446e7i | −0.0299871 | + | 0.198951i | −0.998808 | − | 0.0488104i | \(-0.984457\pi\) |
0.968821 | + | 0.247762i | \(0.0796951\pi\) | |||||||
\(674\) | 1.27763e8 | − | 1.87394e8i | 0.417279 | − | 0.612035i | ||||
\(675\) | 3.04097e7 | + | 9.85858e7i | 0.0988782 | + | 0.320555i | ||||
\(676\) | 3.78681e7 | − | 5.05315e8i | 0.122584 | − | 1.63577i | ||||
\(677\) | 9.89146e7 | − | 7.88818e7i | 0.318782 | − | 0.254220i | −0.451004 | − | 0.892522i | \(-0.648934\pi\) |
0.769787 | + | 0.638301i | \(0.220363\pi\) | |||||||
\(678\) | 3.41922e7 | − | 1.10848e8i | 0.109708 | − | 0.355665i | ||||
\(679\) | 4.84502e8 | + | 1.90153e8i | 1.54770 | + | 0.607427i | ||||
\(680\) | −6.38364e7 | + | 2.79686e8i | −0.203021 | + | 0.889495i | ||||
\(681\) | −1.40576e7 | − | 2.43484e7i | −0.0445112 | − | 0.0770956i | ||||
\(682\) | 1.25290e8 | + | 7.23360e7i | 0.394968 | + | 0.228035i | ||||
\(683\) | 2.32650e8 | + | 2.15868e8i | 0.730198 | + | 0.677525i | 0.954908 | − | 0.296901i | \(-0.0959531\pi\) |
−0.224710 | + | 0.974426i | \(0.572144\pi\) | |||||||
\(684\) | −2.98524e8 | − | 2.38065e8i | −0.932848 | − | 0.743921i | ||||
\(685\) | −2.69687e8 | + | 1.83870e8i | −0.839052 | + | 0.572056i | ||||
\(686\) | 4.27751e8 | − | 2.05994e8i | 1.32501 | − | 0.638090i | ||||
\(687\) | 6.01971e8i | 1.85654i | ||||||||
\(688\) | −2.29970e7 | − | 5.35504e7i | −0.0706163 | − | 0.164436i | ||||
\(689\) | 2.94407e7 | 0.0900099 | ||||||||
\(690\) | −2.37093e8 | − | 4.92328e8i | −0.721723 | − | 1.49867i | ||||
\(691\) | 2.65260e8 | + | 3.89065e8i | 0.803966 | + | 1.17920i | 0.980811 | + | 0.194962i | \(0.0624585\pi\) |
−0.176845 | + | 0.984239i | \(0.556589\pi\) | |||||||
\(692\) | 5.27474e8 | − | 6.61432e8i | 1.59178 | − | 1.99603i | ||||
\(693\) | 6.63719e7 | − | 7.15319e7i | 0.199427 | − | 0.214932i | ||||
\(694\) | −3.81194e8 | + | 6.60247e8i | −1.14043 | + | 1.97528i | ||||
\(695\) | 1.71544e8 | − | 9.90410e7i | 0.511001 | − | 0.295026i | ||||
\(696\) | 2.15799e8 | + | 4.92548e7i | 0.640063 | + | 0.146090i | ||||
\(697\) | −2.74487e7 | + | 6.99382e7i | −0.0810632 | + | 0.206546i | ||||
\(698\) | −3.34198e8 | − | 1.03086e8i | −0.982738 | − | 0.303134i | ||||
\(699\) | −6.15156e7 | − | 7.71381e7i | −0.180117 | − | 0.225859i | ||||
\(700\) | 3.59445e8 | + | 2.69367e7i | 1.04794 | + | 0.0785325i | ||||
\(701\) | −3.81533e8 | + | 1.17687e8i | −1.10759 | + | 0.341646i | −0.794002 | − | 0.607915i | \(-0.792006\pi\) |
−0.313585 | + | 0.949560i | \(0.601530\pi\) | |||||||
\(702\) | −4.95556e7 | − | 3.37865e7i | −0.143246 | − | 0.0976633i | ||||
\(703\) | 5.60720e8 | + | 8.45149e7i | 1.61391 | + | 0.243258i | ||||
\(704\) | −6.28431e7 | − | 2.75334e8i | −0.180111 | − | 0.789117i | ||||
\(705\) | 1.48733e8 | − | 1.38004e8i | 0.424464 | − | 0.393845i | ||||
\(706\) | 7.84932e8 | − | 5.88225e7i | 2.23058 | − | 0.167159i | ||||
\(707\) | −6.47960e8 | + | 2.54306e8i | −1.83354 | + | 0.719611i | ||||
\(708\) | 6.60841e7 | + | 4.38439e8i | 0.186207 | + | 1.23541i | ||||
\(709\) | −5.20347e8 | − | 2.50586e8i | −1.46000 | − | 0.703101i | −0.475705 | − | 0.879605i | \(-0.657807\pi\) |
−0.984300 | + | 0.176504i | \(0.943521\pi\) | |||||||
\(710\) | 2.13544e8 | − | 4.43430e8i | 0.596641 | − | 1.23894i | ||||
\(711\) | −1.52734e8 | + | 2.30210e7i | −0.424940 | + | 0.0640495i | ||||
\(712\) | 1.40282e8 | + | 3.57432e8i | 0.388652 | + | 0.990269i | ||||
\(713\) | 1.83197e7 | + | 2.44459e8i | 0.0505417 | + | 0.674432i | ||||
\(714\) | −6.64408e8 | − | 7.16061e8i | −1.82532 | − | 1.96723i | ||||
\(715\) | −2.16336e7 | + | 4.93774e6i | −0.0591850 | + | 0.0135086i | ||||
\(716\) | 1.60009e7 | − | 1.06159e8i | 0.0435919 | − | 0.289214i | ||||
\(717\) | −3.44338e8 | + | 5.05052e8i | −0.934174 | + | 1.37018i | ||||
\(718\) | −2.06772e8 | − | 6.70337e8i | −0.558621 | − | 1.81101i | ||||
\(719\) | 5.20167e6 | − | 6.94115e7i | 0.0139945 | − | 0.186743i | −0.985826 | − | 0.167773i | \(-0.946342\pi\) |
0.999820 | − | 0.0189697i | \(-0.00603862\pi\) | |||||||
\(720\) | 1.79449e7 | − | 1.43105e7i | 0.0480776 | − | 0.0383406i | ||||
\(721\) | −1.19031e8 | + | 3.85889e8i | −0.317581 | + | 1.02957i | ||||
\(722\) | 4.56629e8 | + | 1.79214e8i | 1.21325 | + | 0.476167i | ||||
\(723\) | −7.31141e7 | + | 3.20334e8i | −0.193458 | + | 0.847594i | ||||
\(724\) | 3.63519e8 | + | 6.29634e8i | 0.957882 | + | 1.65910i | ||||
\(725\) | −8.79458e7 | − | 5.07755e7i | −0.230782 | − | 0.133242i | ||||
\(726\) | 4.17796e8 | + | 3.87658e8i | 1.09183 | + | 1.01307i | ||||
\(727\) | −5.25813e8 | − | 4.19322e8i | −1.36845 | − | 1.09130i | −0.985895 | − | 0.167367i | \(-0.946473\pi\) |
−0.382553 | − | 0.923933i | \(-0.624955\pi\) | |||||||
\(728\) | −7.10149e7 | + | 4.84172e7i | −0.184058 | + | 0.125489i | ||||
\(729\) | 2.35359e7 | − | 1.13343e7i | 0.0607504 | − | 0.0292558i | ||||
\(730\) | − | 5.95346e8i | − | 1.53039i | ||||||
\(731\) | 2.85672e8 | − | 3.82434e8i | 0.731333 | − | 0.979048i | ||||
\(732\) | 1.25153e9 | 3.19086 | ||||||||
\(733\) | −6.49518e6 | − | 1.34874e7i | −0.0164922 | − | 0.0342465i | 0.892560 | − | 0.450929i | \(-0.148907\pi\) |
−0.909052 | + | 0.416682i | \(0.863193\pi\) | |||||||
\(734\) | 1.02561e8 | + | 1.50430e8i | 0.259355 | + | 0.380404i | ||||
\(735\) | 3.45670e7 | − | 4.33456e7i | 0.0870562 | − | 0.109165i | ||||
\(736\) | 2.88415e8 | − | 3.10838e8i | 0.723410 | − | 0.779651i | ||||
\(737\) | −5.12229e7 | + | 8.87207e7i | −0.127956 | + | 0.221627i | ||||
\(738\) | 5.45233e7 | − | 3.14791e7i | 0.135648 | − | 0.0783164i | ||||
\(739\) | 3.32705e8 | + | 7.59378e7i | 0.824378 | + | 0.188159i | 0.613844 | − | 0.789427i | \(-0.289622\pi\) |
0.210534 | + | 0.977586i | \(0.432480\pi\) | |||||||
\(740\) | −2.00019e8 | + | 5.09641e8i | −0.493602 | + | 1.25768i | ||||
\(741\) | −1.15877e8 | − | 3.57434e7i | −0.284802 | − | 0.0878499i | ||||
\(742\) | 2.26247e8 | + | 2.83704e8i | 0.553822 | + | 0.694471i | ||||
\(743\) | −3.43384e7 | − | 2.57331e6i | −0.0837169 | − | 0.00627372i | 0.0328058 | − | 0.999462i | \(-0.489556\pi\) |
−0.116523 | + | 0.993188i | \(0.537175\pi\) | |||||||
\(744\) | −2.99181e8 | + | 9.22851e7i | −0.726466 | + | 0.224085i | ||||
\(745\) | 3.10359e8 | + | 2.11599e8i | 0.750578 | + | 0.511735i | ||||
\(746\) | 2.03597e8 | + | 3.06873e7i | 0.490405 | + | 0.0739166i | ||||
\(747\) | 8.03258e7 | + | 3.51930e8i | 0.192705 | + | 0.844296i | ||||
\(748\) | −3.27493e8 | + | 3.03870e8i | −0.782524 | + | 0.726076i | ||||
\(749\) | −4.45708e8 | + | 3.34012e7i | −1.06073 | + | 0.0794908i | ||||
\(750\) | −8.18802e8 | + | 3.21356e8i | −1.94086 | + | 0.761733i | ||||
\(751\) | −2.11795e7 | − | 1.40517e8i | −0.0500030 | − | 0.331748i | −0.999821 | − | 0.0189438i | \(-0.993970\pi\) |
0.949818 | − | 0.312804i | \(-0.101268\pi\) | |||||||
\(752\) | −4.91559e7 | − | 2.36722e7i | −0.115590 | − | 0.0556654i | ||||
\(753\) | −2.14403e8 | + | 4.45212e8i | −0.502164 | + | 1.04275i | ||||
\(754\) | 5.83772e7 | − | 8.79895e6i | 0.136185 | − | 0.0205266i | ||||
\(755\) | 4.12141e7 | + | 1.05012e8i | 0.0957645 | + | 0.244004i | ||||
\(756\) | −3.47485e7 | − | 4.63687e8i | −0.0804212 | − | 1.07315i | ||||
\(757\) | 1.27165e8 | + | 1.37051e8i | 0.293143 | + | 0.315933i | 0.862401 | − | 0.506226i | \(-0.168960\pi\) |
−0.569258 | + | 0.822159i | \(0.692769\pi\) | |||||||
\(758\) | −1.00274e9 | + | 2.28869e8i | −2.30240 | + | 0.525508i | ||||
\(759\) | 5.20215e7 | − | 3.45140e8i | 0.118976 | − | 0.789351i | ||||
\(760\) | −2.47273e8 | + | 3.62683e8i | −0.563295 | + | 0.826203i | ||||
\(761\) | −1.42224e8 | − | 4.61080e8i | −0.322716 | − | 1.04622i | −0.961030 | − | 0.276443i | \(-0.910844\pi\) |
0.638315 | − | 0.769775i | \(-0.279632\pi\) | |||||||
\(762\) | 3.22057e7 | − | 4.29756e8i | 0.0727894 | − | 0.971308i | ||||
\(763\) | 4.56217e8 | − | 3.63821e8i | 1.02707 | − | 0.819058i | ||||
\(764\) | −5.46672e6 | + | 1.77227e7i | −0.0122588 | + | 0.0397419i | ||||
\(765\) | 1.75000e8 | + | 6.86826e7i | 0.390890 | + | 0.153413i | ||||
\(766\) | −2.28205e8 | + | 9.99833e8i | −0.507738 | + | 2.22455i | ||||
\(767\) | 2.42527e7 | + | 4.20069e7i | 0.0537494 | + | 0.0930968i | ||||
\(768\) | 6.16010e8 | + | 3.55654e8i | 1.35989 | + | 0.785134i | ||||
\(769\) | −3.61252e8 | − | 3.35193e8i | −0.794386 | − | 0.737082i | 0.174482 | − | 0.984660i | \(-0.444175\pi\) |
−0.968868 | + | 0.247578i | \(0.920365\pi\) | |||||||
\(770\) | −2.13833e8 | − | 1.70526e8i | −0.468385 | − | 0.373525i | ||||
\(771\) | 6.68621e6 | − | 4.55858e6i | 0.0145887 | − | 0.00994642i | ||||
\(772\) | 7.86373e8 | − | 3.78697e8i | 1.70914 | − | 0.823077i | ||||
\(773\) | − | 8.22721e7i | − | 0.178120i | −0.996026 | − | 0.0890602i | \(-0.971614\pi\) | ||
0.996026 | − | 0.0890602i | \(-0.0283864\pi\) | |||||||
\(774\) | −3.86967e8 | + | 1.01298e8i | −0.834546 | + | 0.218463i | ||||
\(775\) | 1.43641e8 | 0.308583 | ||||||||
\(776\) | 3.55360e8 | + | 7.37912e8i | 0.760471 | + | 1.57914i | ||||
\(777\) | −4.30730e8 | − | 6.31765e8i | −0.918210 | − | 1.34677i | ||||
\(778\) | −1.47173e8 | + | 1.84549e8i | −0.312527 | + | 0.391897i | ||||
\(779\) | −7.81928e7 | + | 8.42718e7i | −0.165407 | + | 0.178267i | ||||
\(780\) | 5.85401e7 | − | 1.01395e8i | 0.123359 | − | 0.213664i | ||||
\(781\) | 2.72254e8 | − | 1.57186e8i | 0.571507 | − | 0.329960i | ||||
\(782\) | −1.17336e9 | − | 2.67811e8i | −2.45364 | − | 0.560026i | ||||
\(783\) | −4.78603e7 | + | 1.21946e8i | −0.0996988 | + | 0.254028i | ||||
\(784\) | −1.42458e7 | − | 4.39426e6i | −0.0295624 | − | 0.00911880i | ||||
\(785\) | 2.05743e8 | + | 2.57993e8i | 0.425319 | + | 0.533334i | ||||
\(786\) | 1.02593e9 | + | 7.68827e7i | 2.11276 | + | 0.158329i | ||||
\(787\) | −1.80758e8 | + | 5.57564e7i | −0.370828 | + | 0.114385i | −0.474567 | − | 0.880219i | \(-0.657395\pi\) |
0.103739 | + | 0.994605i | \(0.466919\pi\) | |||||||
\(788\) | −8.19586e8 | − | 5.58784e8i | −1.67500 | − | 1.14200i | ||||
\(789\) | 3.13338e8 | + | 4.72281e7i | 0.637944 | + | 0.0961546i | ||||
\(790\) | 9.63347e7 | + | 4.22070e8i | 0.195390 | + | 0.856058i | ||||
\(791\) | 7.21201e7 | − | 6.69177e7i | 0.145723 | − | 0.135211i | ||||
\(792\) | 1.53123e8 | − | 1.14749e7i | 0.308222 | − | 0.0230980i | ||||
\(793\) | 1.27448e8 | − | 5.00198e7i | 0.255573 | − | 0.100305i | ||||
\(794\) | 3.50067e6 | + | 2.32254e7i | 0.00699342 | + | 0.0463983i | ||||
\(795\) | −1.82668e8 | − | 8.79680e7i | −0.363546 | − | 0.175075i | ||||
\(796\) | 4.15632e8 | − | 8.63069e8i | 0.824081 | − | 1.71122i | ||||
\(797\) | −6.37957e8 | + | 9.61566e7i | −1.26013 | + | 0.189935i | −0.744935 | − | 0.667137i | \(-0.767520\pi\) |
−0.515198 | + | 0.857071i | \(0.672282\pi\) | |||||||
\(798\) | −5.46057e8 | − | 1.39133e9i | −1.07456 | − | 2.73793i | ||||
\(799\) | −3.33951e7 | − | 4.45626e8i | −0.0654700 | − | 0.873636i | ||||
\(800\) | −1.68994e8 | − | 1.82133e8i | −0.330067 | − | 0.355728i | ||||
\(801\) | 2.45316e8 | − | 5.59917e7i | 0.477340 | − | 0.108950i | ||||
\(802\) | −1.94668e7 | + | 1.29154e8i | −0.0377373 | + | 0.250371i | ||||
\(803\) | 2.14217e8 | − | 3.14199e8i | 0.413721 | − | 0.606817i | ||||
\(804\) | −1.59324e8 | − | 5.16517e8i | −0.306559 | − | 0.993840i | ||||
\(805\) | 3.46335e7 | − | 4.62151e8i | 0.0663908 | − | 0.885924i | ||||
\(806\) | −6.52871e7 | + | 5.20647e7i | −0.124687 | + | 0.0994348i | ||||
\(807\) | −822552. | + | 2.66665e6i | −0.00156510 | + | 0.00507394i | ||||
\(808\) | −1.01962e9 | − | 4.00171e8i | −1.93288 | − | 0.758598i | ||||
\(809\) | −2.10659e8 | + | 9.22957e8i | −0.397864 | + | 1.74315i | 0.237918 | + | 0.971285i | \(0.423535\pi\) |
−0.635781 | + | 0.771869i | \(0.719322\pi\) | |||||||
\(810\) | 3.56424e8 | + | 6.17344e8i | 0.670674 | + | 1.16164i | ||||
\(811\) | 1.83575e8 | + | 1.05987e8i | 0.344152 | + | 0.198696i | 0.662107 | − | 0.749410i | \(-0.269663\pi\) |
−0.317954 | + | 0.948106i | \(0.602996\pi\) | |||||||
\(812\) | 3.35513e8 | + | 3.11310e8i | 0.626673 | + | 0.581468i | ||||
\(813\) | −6.33848e8 | − | 5.05477e8i | −1.17954 | − | 0.940653i | ||||
\(814\) | −4.59367e8 | + | 3.13191e8i | −0.851700 | + | 0.580679i | ||||
\(815\) | 3.22697e8 | − | 1.55403e8i | 0.596104 | − | 0.287068i | ||||
\(816\) | − | 1.46759e8i | − | 0.270107i | ||||||
\(817\) | 6.20680e8 | − | 3.85023e8i | 1.13816 | − | 0.706025i | ||||
\(818\) | −1.32385e9 | −2.41868 | ||||||||
\(819\) | 2.44381e7 | + | 5.07463e7i | 0.0444853 | + | 0.0923746i | ||||
\(820\) | −6.25247e7 | − | 9.17070e7i | −0.113399 | − | 0.166326i | ||||
\(821\) | 3.56493e8 | − | 4.47028e8i | 0.644202 | − | 0.807803i | −0.347320 | − | 0.937747i | \(-0.612908\pi\) |
0.991521 | + | 0.129943i | \(0.0414796\pi\) | |||||||
\(822\) | 1.18955e9 | − | 1.28203e9i | 2.14174 | − | 2.30825i | ||||
\(823\) | 1.32341e8 | − | 2.29221e8i | 0.237408 | − | 0.411202i | −0.722562 | − | 0.691306i | \(-0.757036\pi\) |
0.959970 | + | 0.280104i | \(0.0903689\pi\) | |||||||
\(824\) | −5.50326e8 | + | 3.17731e8i | −0.983644 | + | 0.567907i | ||||
\(825\) | −1.99389e8 | − | 4.55092e7i | −0.355090 | − | 0.0810470i | ||||
\(826\) | −2.18421e8 | + | 5.56527e8i | −0.387573 | + | 0.987520i | ||||
\(827\) | −9.21746e8 | − | 2.84321e8i | −1.62965 | − | 0.502681i | −0.660849 | − | 0.750518i | \(-0.729804\pi\) |
−0.968802 | + | 0.247838i | \(0.920280\pi\) | |||||||
\(828\) | 3.95516e8 | + | 4.95961e8i | 0.696743 | + | 0.873688i | ||||
\(829\) | 1.02370e9 | + | 7.67155e7i | 1.79683 | + | 0.134654i | 0.930846 | − | 0.365411i | \(-0.119071\pi\) |
0.865988 | + | 0.500065i | \(0.166690\pi\) | |||||||
\(830\) | 9.66818e8 | − | 2.98224e8i | 1.69087 | − | 0.521565i | ||||
\(831\) | 3.32060e8 | + | 2.26394e8i | 0.578646 | + | 0.394514i | ||||
\(832\) | 1.61190e8 | + | 2.42955e7i | 0.279878 | + | 0.0421847i | ||||
\(833\) | −2.71717e7 | − | 1.19047e8i | −0.0470091 | − | 0.205960i | ||||
\(834\) | −7.78014e8 | + | 7.21892e8i | −1.34119 | + | 1.24444i | ||||
\(835\) | −5.93506e8 | + | 4.44772e7i | −1.01945 | + | 0.0763972i | ||||
\(836\) | −6.36331e8 | + | 2.49741e8i | −1.08909 | + | 0.427437i | ||||
\(837\) | −2.76172e7 | − | 1.83228e8i | −0.0470980 | − | 0.312475i | ||||
\(838\) | 4.83616e8 | + | 2.32897e8i | 0.821804 | + | 0.395760i | ||||
\(839\) | −1.33026e8 | + | 2.76232e8i | −0.225243 | + | 0.467722i | −0.982710 | − | 0.185152i | \(-0.940722\pi\) |
0.757467 | + | 0.652873i | \(0.226437\pi\) | |||||||
\(840\) | 5.85288e8 | − | 8.82180e7i | 0.987488 | − | 0.148840i | ||||
\(841\) | 1.70204e8 | + | 4.33672e8i | 0.286142 | + | 0.729077i | ||||
\(842\) | 9.75863e7 | + | 1.30220e9i | 0.163476 | + | 2.18143i | ||||
\(843\) | −8.79433e7 | − | 9.47803e7i | −0.146798 | − | 0.158211i | ||||
\(844\) | 8.03222e8 | − | 1.83330e8i | 1.33601 | − | 0.304935i | ||||
\(845\) | −5.68976e7 | + | 3.77491e8i | −0.0943026 | + | 0.625657i | ||||
\(846\) | −2.10946e8 | + | 3.09400e8i | −0.348385 | + | 0.510987i | ||||
\(847\) | 1.42478e8 | + | 4.61901e8i | 0.234475 | + | 0.760149i | ||||
\(848\) | −4.07417e6 | + | 5.43660e7i | −0.00668115 | + | 0.0891538i | ||||
\(849\) | 5.39552e8 | − | 4.30279e8i | 0.881679 | − | 0.703116i | ||||
\(850\) | −2.07861e8 | + | 6.73870e8i | −0.338467 | + | 1.09728i | ||||
\(851\) | −8.76967e8 | − | 3.44184e8i | −1.42297 | − | 0.558473i | ||||
\(852\) | −3.69098e8 | + | 1.61712e9i | −0.596792 | + | 2.61471i | ||||
\(853\) | −4.18091e8 | − | 7.24155e8i | −0.673633 | − | 1.16677i | −0.976866 | − | 0.213851i | \(-0.931399\pi\) |
0.303233 | − | 0.952916i | \(-0.401934\pi\) | |||||||
\(854\) | 1.46143e9 | + | 8.43759e8i | 2.34642 | + | 1.35470i | ||||
\(855\) | 2.10866e8 | + | 1.95655e8i | 0.337372 | + | 0.313035i | ||||
\(856\) | −5.49882e8 | − | 4.38516e8i | −0.876695 | − | 0.699141i | ||||
\(857\) | 4.07967e8 | − | 2.78147e8i | 0.648161 | − | 0.441909i | −0.194098 | − | 0.980982i | \(-0.562178\pi\) |
0.842259 | + | 0.539074i | \(0.181226\pi\) | |||||||
\(858\) | 1.07121e8 | − | 5.15868e7i | 0.169595 | − | 0.0816726i | ||||
\(859\) | 1.89540e8i | 0.299035i | 0.988759 | + | 0.149517i | \(0.0477720\pi\) | ||||
−0.988759 | + | 0.149517i | \(0.952228\pi\) | |||||||
\(860\) | 2.29068e8 | + | 6.66957e8i | 0.360138 | + | 1.04858i | ||||
\(861\) | 1.55015e8 | 0.242864 | ||||||||
\(862\) | −1.67143e8 | − | 3.47076e8i | −0.260955 | − | 0.541879i | ||||
\(863\) | −2.56814e8 | − | 3.76676e8i | −0.399563 | − | 0.586052i | 0.572751 | − | 0.819730i | \(-0.305876\pi\) |
−0.972314 | + | 0.233678i | \(0.924924\pi\) | |||||||
\(864\) | −1.99837e8 | + | 2.50587e8i | −0.309837 | + | 0.388524i | ||||
\(865\) | −4.33508e8 | + | 4.67211e8i | −0.669806 | + | 0.721879i | ||||
\(866\) | 1.81310e8 | − | 3.14038e8i | 0.279169 | − | 0.483536i | ||||
\(867\) | 3.43931e8 | − | 1.98569e8i | 0.527733 | − | 0.304687i | ||||
\(868\) | −6.31160e8 | − | 1.44058e8i | −0.965118 | − | 0.220282i | ||||
\(869\) | −1.01027e8 | + | 2.57414e8i | −0.153950 | + | 0.392259i | ||||
\(870\) | −3.88498e8 | − | 1.19836e8i | −0.589972 | − | 0.181982i | ||||
\(871\) | −3.68683e7 | − | 4.62313e7i | −0.0557954 | − | 0.0699652i | ||||
\(872\) | 9.15657e8 | + | 6.86190e7i | 1.38097 | + | 0.103489i | ||||
\(873\) | 5.12872e8 | − | 1.58200e8i | 0.770843 | − | 0.237774i | ||||
\(874\) | −1.52155e9 | − | 1.03738e9i | −2.27905 | − | 1.55383i | ||||
\(875\) | −7.37676e8 | − | 1.11187e8i | −1.10114 | − | 0.165970i | ||||
\(876\) | 4.46474e8 | + | 1.95613e9i | 0.664177 | + | 2.90995i | ||||
\(877\) | −2.20896e8 | + | 2.04962e8i | −0.327484 | + | 0.303861i | −0.826729 | − | 0.562600i | \(-0.809801\pi\) |
0.499245 | + | 0.866461i | \(0.333611\pi\) | |||||||
\(878\) | −4.21115e8 | + | 3.15582e7i | −0.622182 | + | 0.0466261i | ||||
\(879\) | −2.79182e8 | + | 1.09571e8i | −0.411075 | + | 0.161335i | ||||
\(880\) | −6.12438e6 | − | 4.06326e7i | −0.00898699 | − | 0.0596248i | ||||
\(881\) | −4.83164e8 | − | 2.32679e8i | −0.706589 | − | 0.340275i | 0.0458401 | − | 0.998949i | \(-0.485404\pi\) |
−0.752429 | + | 0.658674i | \(0.771118\pi\) | |||||||
\(882\) | −4.43964e7 | + | 9.21900e7i | −0.0647056 | + | 0.134362i | ||||
\(883\) | −4.21875e7 | + | 6.35874e6i | −0.0612776 | + | 0.00923611i | −0.179610 | − | 0.983738i | \(-0.557483\pi\) |
0.118332 | + | 0.992974i | \(0.462245\pi\) | |||||||
\(884\) | −9.42097e7 | − | 2.40042e8i | −0.136376 | − | 0.347481i | ||||
\(885\) | −2.49626e7 | − | 3.33102e8i | −0.0360130 | − | 0.480560i | ||||
\(886\) | 6.22229e8 | + | 6.70603e8i | 0.894641 | + | 0.964194i | ||||
\(887\) | 7.86590e8 | − | 1.79534e8i | 1.12714 | − | 0.257262i | 0.381994 | − | 0.924165i | \(-0.375238\pi\) |
0.745145 | + | 0.666903i | \(0.232380\pi\) | |||||||
\(888\) | 1.79328e8 | − | 1.18977e9i | 0.256100 | − | 1.69912i | ||||
\(889\) | 2.05896e8 | − | 3.01995e8i | 0.293051 | − | 0.429827i | ||||
\(890\) | −2.07879e8 | − | 6.73928e8i | −0.294877 | − | 0.955969i | ||||
\(891\) | −3.40268e7 | + | 4.54056e8i | −0.0481048 | + | 0.641914i | ||||
\(892\) | 1.46709e9 | − | 1.16997e9i | 2.06711 | − | 1.64846i | ||||
\(893\) | 2.01545e8 | − | 6.53394e8i | 0.283021 | − | 0.917531i | ||||
\(894\) | −1.87352e9 | − | 7.35301e8i | −2.62207 | − | 1.02909i | ||||
\(895\) | −1.79975e7 | + | 7.88524e7i | −0.0251041 | + | 0.109988i | ||||
\(896\) | 6.74345e8 | + | 1.16800e9i | 0.937471 | + | 1.62375i | ||||
\(897\) | 1.74475e8 | + | 1.00733e8i | 0.241744 | + | 0.139571i | ||||
\(898\) | 1.39932e9 | + | 1.29838e9i | 1.93236 | + | 1.79296i | ||||
\(899\) | 1.42599e8 | + | 1.13719e8i | 0.196263 | + | 0.156514i | ||||
\(900\) | 3.07110e8 | − | 2.09384e8i | 0.421276 | − | 0.287221i | ||||
\(901\) | −4.02323e8 | + | 1.93748e8i | −0.550048 | + | 0.264889i | ||||
\(902\) | − | 1.12714e8i | − | 0.153588i | ||||||
\(903\) | −9.49844e8 | − | 2.60393e8i | −1.29000 | − | 0.353643i | ||||
\(904\) | 1.54815e8 | 0.209559 | ||||||||
\(905\) | −2.37650e8 | − | 4.93485e8i | −0.320621 | − | 0.665776i | ||||
\(906\) | −3.40494e8 | − | 4.99414e8i | −0.457852 | − | 0.671546i | ||||
\(907\) | 4.60051e8 | − | 5.76886e8i | 0.616573 | − | 0.773158i | −0.371285 | − | 0.928519i | \(-0.621083\pi\) |
0.987858 | + | 0.155361i | \(0.0496541\pi\) | |||||||
\(908\) | 6.22223e7 | − | 6.70597e7i | 0.0831168 | − | 0.0895786i | ||||
\(909\) | −3.58895e8 | + | 6.21625e8i | −0.477833 | + | 0.827631i | ||||
\(910\) | 1.36717e8 | − | 7.89335e7i | 0.181425 | − | 0.104746i | ||||
\(911\) | 1.22437e9 | + | 2.79454e8i | 1.61941 | + | 0.369620i | 0.933645 | − | 0.358200i | \(-0.116610\pi\) |
0.685768 | + | 0.727821i | \(0.259467\pi\) | |||||||
\(912\) | 8.20406e7 | − | 2.09036e8i | 0.108154 | − | 0.275573i | ||||
\(913\) | 6.17553e8 | + | 1.90490e8i | 0.811450 | + | 0.250299i | ||||
\(914\) | −1.47596e9 | − | 1.85079e9i | −1.93302 | − | 2.42393i | ||||
\(915\) | −9.40223e8 | − | 7.04599e7i | −1.22735 | − | 0.0919770i | ||||
\(916\) | −1.87166e9 | + | 5.77329e8i | −2.43523 | + | 0.751168i | ||||
\(917\) | 7.20932e8 | + | 4.91523e8i | 0.934946 | + | 0.637435i | ||||
\(918\) | 8.99553e8 | + | 1.35586e8i | 1.16278 | + | 0.175261i | ||||
\(919\) | 1.68118e8 | + | 7.36572e8i | 0.216604 | + | 0.949005i | 0.959966 | + | 0.280116i | \(0.0903729\pi\) |
−0.743362 | + | 0.668889i | \(0.766770\pi\) | |||||||
\(920\) | 5.34595e8 | − | 4.96032e8i | 0.686533 | − | 0.637010i | ||||
\(921\) | 8.85304e8 | − | 6.63444e7i | 1.13322 | − | 0.0849230i | ||||
\(922\) | 7.31896e8 | − | 2.87248e8i | 0.933806 | − | 0.366492i | ||||
\(923\) | 2.70447e7 | + | 1.79430e8i | 0.0343936 | + | 0.228187i | ||||
\(924\) | 8.30477e8 | + | 3.99937e8i | 1.05272 | + | 0.506962i | ||||
\(925\) | −2.39508e8 | + | 4.97343e8i | −0.302618 | + | 0.628393i | ||||
\(926\) | 2.17577e9 | − | 3.27945e8i | 2.74019 | − | 0.413017i | ||||
\(927\) | 1.52138e8 | + | 3.87641e8i | 0.190985 | + | 0.486621i | ||||
\(928\) | −2.35763e7 | − | 3.14603e8i | −0.0295006 | − | 0.393658i | ||||
\(929\) | 8.38883e8 | + | 9.04100e8i | 1.04629 | + | 1.12764i | 0.991627 | + | 0.129133i | \(0.0412194\pi\) |
0.0546675 | + | 0.998505i | \(0.482590\pi\) | |||||||
\(930\) | 5.60648e8 | − | 1.27964e8i | 0.697014 | − | 0.159089i | ||||
\(931\) | 2.78471e7 | − | 1.84753e8i | 0.0345088 | − | 0.228951i | ||||
\(932\) | 1.80841e8 | − | 2.65246e8i | 0.223383 | − | 0.327643i | ||||
\(933\) | 1.24248e8 | + | 4.02802e8i | 0.152984 | + | 0.495960i | ||||
\(934\) | 1.68136e7 | − | 2.24361e8i | 0.0206357 | − | 0.275364i | ||||
\(935\) | 2.63140e8 | − | 2.09847e8i | 0.321923 | − | 0.256725i | ||||
\(936\) | −2.61244e7 | + | 8.46931e7i | −0.0318580 | + | 0.103281i | ||||
\(937\) | −1.04376e9 | − | 4.09644e8i | −1.26876 | − | 0.497953i | −0.367015 | − | 0.930215i | \(-0.619620\pi\) |
−0.901748 | + | 0.432263i | \(0.857715\pi\) | |||||||
\(938\) | 1.62181e8 | − | 7.10560e8i | 0.196513 | − | 0.860979i | ||||
\(939\) | −4.68993e8 | − | 8.12319e8i | −0.566460 | − | 0.981138i | ||||
\(940\) | 5.71730e8 | + | 3.30088e8i | 0.688347 | + | 0.397417i | ||||
\(941\) | 7.98855e8 | + | 7.41229e8i | 0.958736 | + | 0.889577i | 0.993953 | − | 0.109802i | \(-0.0350218\pi\) |
−0.0352171 | + | 0.999380i | \(0.511212\pi\) | |||||||
\(942\) | −1.38234e9 | − | 1.10238e9i | −1.65372 | − | 1.31880i | ||||
\(943\) | 1.57805e8 | − | 1.07590e8i | 0.188186 | − | 0.128303i | ||||
\(944\) | −8.09274e7 | + | 3.89726e7i | −0.0962010 | + | 0.0463280i | ||||
\(945\) | 3.50305e8i | 0.415099i | ||||||||
\(946\) | −1.89336e8 | + | 6.90648e8i | −0.223645 | + | 0.815799i | ||||
\(947\) | 2.94075e8 | 0.346264 | 0.173132 | − | 0.984899i | \(-0.444611\pi\) | ||||
0.173132 | + | 0.984899i | \(0.444611\pi\) | |||||||
\(948\) | −6.33054e8 | − | 1.31455e9i | −0.743047 | − | 1.54295i | ||||
\(949\) | 1.23647e8 | + | 1.81357e8i | 0.144672 | + | 0.212195i | ||||
\(950\) | −6.72769e8 | + | 8.43625e8i | −0.784684 | + | 0.983963i | ||||
\(951\) | 1.81500e8 | − | 1.95611e8i | 0.211026 | − | 0.227432i | ||||
\(952\) | 6.51825e8 | − | 1.12899e9i | 0.755475 | − | 1.30852i | ||||
\(953\) | 8.59696e8 | − | 4.96346e8i | 0.993268 | − | 0.573463i | 0.0870182 | − | 0.996207i | \(-0.472266\pi\) |
0.906249 | + | 0.422743i | \(0.138933\pi\) | |||||||
\(954\) | 3.64809e8 | + | 8.32653e7i | 0.420166 | + | 0.0959001i | ||||
\(955\) | 5.10470e6 | − | 1.30066e7i | 0.00586084 | − | 0.0149332i | ||||
\(956\) | −1.90056e9 | − | 5.86244e8i | −2.17524 | − | 0.670972i | ||||
\(957\) | −1.61914e8 | − | 2.03033e8i | −0.184734 | − | 0.231650i | ||||
\(958\) | 1.44062e9 | + | 1.07959e8i | 1.63852 | + | 0.122790i | ||||
\(959\) | 1.41737e9 | − | 4.37200e8i | 1.60704 | − | 0.495706i | ||||
\(960\) | −9.27524e8 | − | 6.32375e8i | −1.04836 | − | 0.714762i | ||||
\(961\) | 6.22487e8 | + | 9.38248e7i | 0.701390 | + | 0.105718i | ||||
\(962\) | −7.14092e7 | − | 3.12864e8i | −0.0802101 | − | 0.351424i | ||||
\(963\) | −3.37864e8 | + | 3.13492e8i | −0.378323 | + | 0.351032i | ||||
\(964\) | −1.06611e9 | + | 7.98937e7i | −1.19006 | + | 0.0891829i | ||||
\(965\) | −6.12091e8 | + | 2.40228e8i | −0.681136 | + | 0.267326i | ||||
\(966\) | 3.70099e8 | + | 2.45544e9i | 0.410569 | + | 2.72395i | ||||
\(967\) | −1.18026e9 | − | 5.68384e8i | −1.30527 | − | 0.628583i | −0.353508 | − | 0.935432i | \(-0.615011\pi\) |
−0.951758 | + | 0.306849i | \(0.900725\pi\) | |||||||
\(968\) | −3.30026e8 | + | 6.85306e8i | −0.363850 | + | 0.755542i | ||||
\(969\) | 1.81875e9 | − | 2.74133e8i | 1.99895 | − | 0.301294i | ||||
\(970\) | −5.49592e8 | − | 1.40034e9i | −0.602179 | − | 1.53433i | ||||
\(971\) | 4.12266e7 | + | 5.50131e8i | 0.0450318 | + | 0.600908i | 0.973380 | + | 0.229197i | \(0.0736099\pi\) |
−0.928348 | + | 0.371712i | \(0.878771\pi\) | |||||||
\(972\) | −1.01339e9 | − | 1.09218e9i | −1.10352 | − | 1.18931i | ||||
\(973\) | −8.77569e8 | + | 2.00299e8i | −0.952670 | + | 0.217441i | ||||
\(974\) | 4.04161e7 | − | 2.68143e8i | 0.0437399 | − | 0.290195i | ||||
\(975\) | 6.64986e7 | − | 9.75355e7i | 0.0717461 | − | 0.105232i | ||||
\(976\) | 7.47309e7 | + | 2.42272e8i | 0.0803805 | + | 0.260587i | ||||
\(977\) | −1.03891e8 | + | 1.38633e9i | −0.111403 | + | 1.48657i | 0.609088 | + | 0.793102i | \(0.291535\pi\) |
−0.720491 | + | 0.693464i | \(0.756084\pi\) | |||||||
\(978\) | −1.50040e9 | + | 1.19653e9i | −1.60394 | + | 1.27910i | ||||
\(979\) | 1.32782e8 | − | 4.30470e8i | 0.141512 | − | 0.458770i | ||||
\(980\) | 1.67923e8 | + | 6.59049e7i | 0.178415 | + | 0.0700228i | ||||
\(981\) | 1.33897e8 | − | 5.86640e8i | 0.141828 | − | 0.621390i | ||||
\(982\) | −1.31771e9 | − | 2.28235e9i | −1.39151 | − | 2.41017i | ||||
\(983\) | 7.54498e8 | + | 4.35609e8i | 0.794323 | + | 0.458603i | 0.841482 | − | 0.540285i | \(-0.181683\pi\) |
−0.0471590 | + | 0.998887i | \(0.515017\pi\) | |||||||
\(984\) | 1.78813e8 | + | 1.65914e8i | 0.187678 | + | 0.174140i | ||||
\(985\) | 5.84263e8 | + | 4.65934e8i | 0.611364 | + | 0.487546i | ||||
\(986\) | −7.39851e8 | + | 5.04422e8i | −0.771815 | + | 0.526215i | ||||
\(987\) | −8.30705e8 | + | 4.00046e8i | −0.863963 | + | 0.416063i | ||||
\(988\) | − | 3.94567e8i | − | 0.409120i | ||||||
\(989\) | −1.14767e9 | + | 3.94170e8i | −1.18639 | + | 0.407469i | ||||
\(990\) | −2.82035e8 | −0.290668 | ||||||||
\(991\) | −5.95395e8 | − | 1.23635e9i | −0.611764 | − | 1.27034i | −0.944868 | − | 0.327451i | \(-0.893810\pi\) |
0.333104 | − | 0.942890i | \(-0.391904\pi\) | |||||||
\(992\) | 2.51378e8 | + | 3.68704e8i | 0.257509 | + | 0.377696i | ||||
\(993\) | 2.10043e8 | − | 2.63386e8i | 0.214517 | − | 0.268995i | ||||
\(994\) | −1.52124e9 | + | 1.63951e9i | −1.54895 | + | 1.66937i | ||||
\(995\) | −3.60838e8 | + | 6.24990e8i | −0.366305 | + | 0.634459i | ||||
\(996\) | −2.95303e9 | + | 1.70493e9i | −2.98875 | + | 1.72555i | ||||
\(997\) | 8.52324e7 | + | 1.94537e7i | 0.0860041 | + | 0.0196299i | 0.265306 | − | 0.964164i | \(-0.414527\pi\) |
−0.179302 | + | 0.983794i | \(0.557384\pi\) | |||||||
\(998\) | −9.69222e8 | + | 2.46954e9i | −0.975061 | + | 2.48441i | ||||
\(999\) | 6.80460e8 | + | 2.09894e8i | 0.682506 | + | 0.210525i |
(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.h.a.12.19 | ✓ | 252 | |
43.18 | odd | 42 | inner | 43.7.h.a.18.19 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.19 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.18.19 | yes | 252 | 43.18 | odd | 42 | inner |