Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,4,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.14226358079\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 138.13 |
Dual form | 138.4.e.d.85.3 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30972 | + | 1.51150i | 0.463056 | + | 0.534396i | ||||
\(3\) | −2.52376 | − | 1.62192i | −0.485698 | − | 0.312139i | ||||
\(4\) | −0.569259 | + | 3.95929i | −0.0711574 | + | 0.494911i | ||||
\(5\) | 3.30855 | − | 7.24472i | 0.295926 | − | 0.647988i | −0.702012 | − | 0.712165i | \(-0.747715\pi\) |
0.997939 | + | 0.0641769i | \(0.0204422\pi\) | |||||||
\(6\) | −0.853889 | − | 5.93893i | −0.0580998 | − | 0.404093i | ||||
\(7\) | −0.555799 | − | 0.163197i | −0.0300103 | − | 0.00881183i | 0.266693 | − | 0.963782i | \(-0.414069\pi\) |
−0.296703 | + | 0.954970i | \(0.595887\pi\) | |||||||
\(8\) | −6.73003 | + | 4.32513i | −0.297428 | + | 0.191145i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | 15.2837 | − | 4.48769i | 0.483312 | − | 0.141913i | ||||
\(11\) | 40.4870 | − | 46.7244i | 1.10975 | − | 1.28072i | 0.153510 | − | 0.988147i | \(-0.450942\pi\) |
0.956242 | − | 0.292576i | \(-0.0945123\pi\) | |||||||
\(12\) | 7.85833 | − | 9.06899i | 0.189042 | − | 0.218166i | ||||
\(13\) | 43.6631 | − | 12.8206i | 0.931535 | − | 0.273523i | 0.219456 | − | 0.975622i | \(-0.429572\pi\) |
0.712079 | + | 0.702099i | \(0.247754\pi\) | |||||||
\(14\) | −0.481269 | − | 1.05383i | −0.00918747 | − | 0.0201178i | ||||
\(15\) | −20.1004 | + | 12.9177i | −0.345993 | + | 0.222356i | ||||
\(16\) | −15.3519 | − | 4.50772i | −0.239873 | − | 0.0704331i | ||||
\(17\) | −2.00930 | − | 13.9750i | −0.0286663 | − | 0.199378i | 0.970455 | − | 0.241280i | \(-0.0775674\pi\) |
−0.999122 | + | 0.0419020i | \(0.986658\pi\) | |||||||
\(18\) | −7.47747 | + | 16.3734i | −0.0979143 | + | 0.214402i | ||||
\(19\) | 9.69095 | − | 67.4021i | 0.117014 | − | 0.813847i | −0.843801 | − | 0.536656i | \(-0.819687\pi\) |
0.960815 | − | 0.277191i | \(-0.0894036\pi\) | |||||||
\(20\) | 26.8005 | + | 17.2236i | 0.299639 | + | 0.192566i | ||||
\(21\) | 1.13801 | + | 1.31333i | 0.0118254 | + | 0.0136473i | ||||
\(22\) | 123.651 | 1.19829 | ||||||||
\(23\) | 108.052 | + | 22.1748i | 0.979584 | + | 0.201033i | ||||
\(24\) | 24.0000 | 0.204124 | ||||||||
\(25\) | 40.3181 | + | 46.5296i | 0.322545 | + | 0.372237i | ||||
\(26\) | 76.5649 | + | 49.2052i | 0.577523 | + | 0.371152i | ||||
\(27\) | 3.84250 | − | 26.7252i | 0.0273885 | − | 0.190491i | ||||
\(28\) | 0.962538 | − | 2.10767i | 0.00649652 | − | 0.0142254i | ||||
\(29\) | −2.17278 | − | 15.1121i | −0.0139130 | − | 0.0967668i | 0.981682 | − | 0.190528i | \(-0.0610200\pi\) |
−0.995595 | + | 0.0937613i | \(0.970111\pi\) | |||||||
\(30\) | −45.8510 | − | 13.4631i | −0.279041 | − | 0.0819337i | ||||
\(31\) | −50.9769 | + | 32.7609i | −0.295346 | + | 0.189807i | −0.679919 | − | 0.733287i | \(-0.737985\pi\) |
0.384573 | + | 0.923095i | \(0.374349\pi\) | |||||||
\(32\) | −13.2933 | − | 29.1082i | −0.0734357 | − | 0.160802i | ||||
\(33\) | −177.963 | + | 52.2546i | −0.938768 | + | 0.275647i | ||||
\(34\) | 18.4916 | − | 21.3404i | 0.0932729 | − | 0.107643i | ||||
\(35\) | −3.02121 | + | 3.48666i | −0.0145908 | + | 0.0168387i | ||||
\(36\) | −34.5417 | + | 10.1424i | −0.159915 | + | 0.0469554i | ||||
\(37\) | −131.736 | − | 288.461i | −0.585331 | − | 1.28170i | −0.938223 | − | 0.346031i | \(-0.887529\pi\) |
0.352892 | − | 0.935664i | \(-0.385198\pi\) | |||||||
\(38\) | 114.571 | − | 73.6301i | 0.489100 | − | 0.314326i | ||||
\(39\) | −130.989 | − | 38.4619i | −0.537822 | − | 0.157919i | ||||
\(40\) | 9.06768 | + | 63.0671i | 0.0358432 | + | 0.249295i | ||||
\(41\) | −202.824 | + | 444.123i | −0.772581 | + | 1.69172i | −0.0516949 | + | 0.998663i | \(0.516462\pi\) |
−0.720886 | + | 0.693054i | \(0.756265\pi\) | |||||||
\(42\) | −0.494626 | + | 3.44020i | −0.00181720 | + | 0.0126389i | ||||
\(43\) | −91.0711 | − | 58.5279i | −0.322982 | − | 0.207568i | 0.369095 | − | 0.929392i | \(-0.379668\pi\) |
−0.692077 | + | 0.721824i | \(0.743304\pi\) | |||||||
\(44\) | 161.948 | + | 186.898i | 0.554876 | + | 0.640361i | ||||
\(45\) | 71.6801 | 0.237454 | ||||||||
\(46\) | 108.001 | + | 192.364i | 0.346171 | + | 0.616575i | ||||
\(47\) | 170.974 | 0.530618 | 0.265309 | − | 0.964163i | \(-0.414526\pi\) | ||||
0.265309 | + | 0.964163i | \(0.414526\pi\) | |||||||
\(48\) | 31.4333 | + | 36.2760i | 0.0945210 | + | 0.109083i | ||||
\(49\) | −288.268 | − | 185.258i | −0.840431 | − | 0.540112i | ||||
\(50\) | −17.5239 | + | 121.882i | −0.0495651 | + | 0.344733i | ||||
\(51\) | −17.5954 | + | 38.5285i | −0.0483107 | + | 0.105786i | ||||
\(52\) | 25.9049 | + | 180.173i | 0.0690840 | + | 0.480490i | ||||
\(53\) | −57.9351 | − | 17.0113i | −0.150151 | − | 0.0440883i | 0.205793 | − | 0.978595i | \(-0.434023\pi\) |
−0.355944 | + | 0.934507i | \(0.615841\pi\) | |||||||
\(54\) | 45.4277 | − | 29.1946i | 0.114480 | − | 0.0735719i | ||||
\(55\) | −204.552 | − | 447.907i | −0.501488 | − | 1.09811i | ||||
\(56\) | 4.44639 | − | 1.30558i | 0.0106103 | − | 0.00311545i | ||||
\(57\) | −133.779 | + | 154.389i | −0.310867 | + | 0.358759i | ||||
\(58\) | 19.9961 | − | 23.0767i | 0.0452693 | − | 0.0522435i | ||||
\(59\) | 301.202 | − | 88.4410i | 0.664631 | − | 0.195153i | 0.0680201 | − | 0.997684i | \(-0.478332\pi\) |
0.596611 | + | 0.802531i | \(0.296514\pi\) | |||||||
\(60\) | −39.7027 | − | 86.9367i | −0.0854265 | − | 0.187058i | ||||
\(61\) | −302.826 | + | 194.615i | −0.635622 | + | 0.408490i | −0.818387 | − | 0.574667i | \(-0.805132\pi\) |
0.182765 | + | 0.983157i | \(0.441495\pi\) | |||||||
\(62\) | −116.284 | − | 34.1439i | −0.238194 | − | 0.0699400i | ||||
\(63\) | −0.741940 | − | 5.16030i | −0.00148374 | − | 0.0103196i | ||||
\(64\) | 26.5866 | − | 58.2164i | 0.0519269 | − | 0.113704i | ||||
\(65\) | 51.5797 | − | 358.745i | 0.0984258 | − | 0.684566i | ||||
\(66\) | −312.065 | − | 200.552i | −0.582007 | − | 0.374033i | ||||
\(67\) | −375.569 | − | 433.430i | −0.684822 | − | 0.790327i | 0.301796 | − | 0.953372i | \(-0.402414\pi\) |
−0.986619 | + | 0.163045i | \(0.947868\pi\) | |||||||
\(68\) | 56.4748 | 0.100714 | ||||||||
\(69\) | −236.732 | − | 231.216i | −0.413032 | − | 0.403408i | ||||
\(70\) | −9.22703 | −0.0157549 | ||||||||
\(71\) | 338.759 | + | 390.949i | 0.566244 | + | 0.653481i | 0.964590 | − | 0.263755i | \(-0.0849610\pi\) |
−0.398346 | + | 0.917235i | \(0.630416\pi\) | |||||||
\(72\) | −60.5703 | − | 38.9261i | −0.0991427 | − | 0.0637151i | ||||
\(73\) | −161.039 | + | 1120.05i | −0.258195 | + | 1.79578i | 0.287482 | + | 0.957786i | \(0.407182\pi\) |
−0.545676 | + | 0.837996i | \(0.683727\pi\) | |||||||
\(74\) | 263.472 | − | 576.922i | 0.413891 | − | 0.906296i | ||||
\(75\) | −26.2859 | − | 182.822i | −0.0404698 | − | 0.281473i | ||||
\(76\) | 261.347 | + | 76.7385i | 0.394455 | + | 0.115823i | ||||
\(77\) | −30.1279 | + | 19.3620i | −0.0445895 | + | 0.0286560i | ||||
\(78\) | −113.424 | − | 248.365i | −0.164651 | − | 0.360535i | ||||
\(79\) | 8.88213 | − | 2.60803i | 0.0126496 | − | 0.00371426i | −0.275402 | − | 0.961329i | \(-0.588811\pi\) |
0.288051 | + | 0.957615i | \(0.406993\pi\) | |||||||
\(80\) | −83.4498 | + | 96.3061i | −0.116625 | + | 0.134592i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −936.935 | + | 275.109i | −1.26179 | + | 0.370496i | ||||
\(83\) | −166.219 | − | 363.969i | −0.219818 | − | 0.481335i | 0.767308 | − | 0.641279i | \(-0.221596\pi\) |
−0.987126 | + | 0.159944i | \(0.948869\pi\) | |||||||
\(84\) | −5.84769 | + | 3.75808i | −0.00759565 | + | 0.00488143i | ||||
\(85\) | −107.893 | − | 31.6802i | −0.137678 | − | 0.0404259i | ||||
\(86\) | −30.8130 | − | 214.309i | −0.0386355 | − | 0.268716i | ||||
\(87\) | −19.0270 | + | 41.6633i | −0.0234472 | + | 0.0513422i | ||||
\(88\) | −70.3893 | + | 489.568i | −0.0852673 | + | 0.593047i | ||||
\(89\) | 846.212 | + | 543.828i | 1.00785 | + | 0.647703i | 0.936835 | − | 0.349772i | \(-0.113741\pi\) |
0.0710114 | + | 0.997476i | \(0.477377\pi\) | |||||||
\(90\) | 93.8810 | + | 108.344i | 0.109955 | + | 0.126894i | ||||
\(91\) | −26.3602 | −0.0303659 | ||||||||
\(92\) | −149.306 | + | 415.186i | −0.169198 | + | 0.470502i | ||||
\(93\) | 181.789 | 0.202695 | ||||||||
\(94\) | 223.928 | + | 258.426i | 0.245706 | + | 0.283560i | ||||
\(95\) | −456.246 | − | 293.212i | −0.492736 | − | 0.316662i | ||||
\(96\) | −13.6622 | + | 95.0229i | −0.0145249 | + | 0.101023i | ||||
\(97\) | 127.654 | − | 279.524i | 0.133622 | − | 0.292591i | −0.830980 | − | 0.556303i | \(-0.812220\pi\) |
0.964602 | + | 0.263712i | \(0.0849468\pi\) | |||||||
\(98\) | −97.5325 | − | 678.353i | −0.100533 | − | 0.699225i | ||||
\(99\) | 533.888 | + | 156.764i | 0.541998 | + | 0.159145i | ||||
\(100\) | −207.175 | + | 133.143i | −0.207175 | + | 0.133143i | ||||
\(101\) | 651.402 | + | 1426.37i | 0.641752 | + | 1.40524i | 0.898591 | + | 0.438787i | \(0.144592\pi\) |
−0.256839 | + | 0.966454i | \(0.582681\pi\) | |||||||
\(102\) | −81.2808 | + | 23.8662i | −0.0789019 | + | 0.0231677i | ||||
\(103\) | −440.518 | + | 508.385i | −0.421413 | + | 0.486336i | −0.926267 | − | 0.376868i | \(-0.877001\pi\) |
0.504854 | + | 0.863205i | \(0.331546\pi\) | |||||||
\(104\) | −238.403 | + | 275.132i | −0.224782 | + | 0.259412i | ||||
\(105\) | 13.2799 | − | 3.89933i | 0.0123427 | − | 0.00362415i | ||||
\(106\) | −50.1663 | − | 109.849i | −0.0459677 | − | 0.100655i | ||||
\(107\) | 804.235 | − | 516.851i | 0.726620 | − | 0.466970i | −0.124314 | − | 0.992243i | \(-0.539673\pi\) |
0.850934 | + | 0.525273i | \(0.176037\pi\) | |||||||
\(108\) | 103.625 | + | 30.4271i | 0.0923273 | + | 0.0271097i | ||||
\(109\) | 7.68100 | + | 53.4225i | 0.00674960 | + | 0.0469445i | 0.992918 | − | 0.118803i | \(-0.0379056\pi\) |
−0.986168 | + | 0.165747i | \(0.946996\pi\) | |||||||
\(110\) | 409.105 | − | 895.814i | 0.354606 | − | 0.776478i | ||||
\(111\) | −135.392 | + | 941.672i | −0.115773 | + | 0.805221i | ||||
\(112\) | 7.79692 | + | 5.01077i | 0.00657803 | + | 0.00422744i | ||||
\(113\) | 1118.99 | + | 1291.38i | 0.931555 | + | 1.07507i | 0.997014 | + | 0.0772166i | \(0.0246033\pi\) |
−0.0654593 | + | 0.997855i | \(0.520851\pi\) | |||||||
\(114\) | −408.571 | −0.335668 | ||||||||
\(115\) | 518.147 | − | 709.442i | 0.420152 | − | 0.575268i | ||||
\(116\) | 61.0698 | 0.0488809 | ||||||||
\(117\) | 268.203 | + | 309.523i | 0.211926 | + | 0.244576i | ||||
\(118\) | 528.170 | + | 339.434i | 0.412051 | + | 0.264809i | ||||
\(119\) | −1.16391 | + | 8.09520i | −0.000896604 | + | 0.00623601i | ||||
\(120\) | 79.4053 | − | 173.873i | 0.0604057 | − | 0.132270i | ||||
\(121\) | −354.559 | − | 2466.01i | −0.266385 | − | 1.85275i | ||||
\(122\) | −690.778 | − | 202.831i | −0.512624 | − | 0.150520i | ||||
\(123\) | 1232.21 | − | 791.895i | 0.903292 | − | 0.580510i | ||||
\(124\) | −100.691 | − | 220.481i | −0.0729216 | − | 0.159676i | ||||
\(125\) | 1425.72 | − | 418.629i | 1.02016 | − | 0.299546i | ||||
\(126\) | 6.82806 | − | 7.88000i | 0.00482771 | − | 0.00557148i | ||||
\(127\) | 342.915 | − | 395.745i | 0.239596 | − | 0.276509i | −0.623198 | − | 0.782064i | \(-0.714167\pi\) |
0.862794 | + | 0.505555i | \(0.168712\pi\) | |||||||
\(128\) | 122.815 | − | 36.0618i | 0.0848080 | − | 0.0249019i | ||||
\(129\) | 134.914 | + | 295.421i | 0.0920816 | + | 0.201631i | ||||
\(130\) | 609.797 | − | 391.893i | 0.411406 | − | 0.264395i | ||||
\(131\) | −221.617 | − | 65.0725i | −0.147807 | − | 0.0434001i | 0.206992 | − | 0.978343i | \(-0.433633\pi\) |
−0.354799 | + | 0.934943i | \(0.615451\pi\) | |||||||
\(132\) | −105.584 | − | 734.352i | −0.0696204 | − | 0.484221i | ||||
\(133\) | −16.3861 | + | 35.8805i | −0.0106831 | + | 0.0233927i | ||||
\(134\) | 163.238 | − | 1135.35i | 0.105236 | − | 0.731932i | ||||
\(135\) | −180.903 | − | 116.260i | −0.115331 | − | 0.0741187i | ||||
\(136\) | 73.9663 | + | 85.3616i | 0.0466364 | + | 0.0538213i | ||||
\(137\) | −2824.53 | −1.76143 | −0.880716 | − | 0.473644i | \(-0.842938\pi\) | ||||
−0.880716 | + | 0.473644i | \(0.842938\pi\) | |||||||
\(138\) | 39.4301 | − | 660.649i | 0.0243225 | − | 0.407523i | ||||
\(139\) | 2116.97 | 1.29179 | 0.645896 | − | 0.763426i | \(-0.276484\pi\) | ||||
0.645896 | + | 0.763426i | \(0.276484\pi\) | |||||||
\(140\) | −12.0848 | − | 13.9467i | −0.00729540 | − | 0.00841934i | ||||
\(141\) | −431.496 | − | 277.306i | −0.257720 | − | 0.165627i | ||||
\(142\) | −147.239 | + | 1024.07i | −0.0870142 | + | 0.605197i | ||||
\(143\) | 1168.75 | − | 2559.20i | 0.683466 | − | 1.49658i | ||||
\(144\) | −20.4933 | − | 142.534i | −0.0118596 | − | 0.0824851i | ||||
\(145\) | −116.671 | − | 34.2578i | −0.0668209 | − | 0.0196204i | ||||
\(146\) | −1903.87 | + | 1223.55i | −1.07922 | + | 0.693571i | ||||
\(147\) | 427.044 | + | 935.096i | 0.239605 | + | 0.524663i | ||||
\(148\) | 1217.09 | − | 357.371i | 0.675975 | − | 0.198484i | ||||
\(149\) | −45.0426 | + | 51.9819i | −0.0247653 | + | 0.0285807i | −0.767997 | − | 0.640453i | \(-0.778747\pi\) |
0.743232 | + | 0.669034i | \(0.233292\pi\) | |||||||
\(150\) | 241.909 | − | 279.177i | 0.131678 | − | 0.151965i | ||||
\(151\) | 1415.25 | − | 415.554i | 0.762723 | − | 0.223956i | 0.122838 | − | 0.992427i | \(-0.460800\pi\) |
0.639885 | + | 0.768471i | \(0.278982\pi\) | |||||||
\(152\) | 226.302 | + | 495.532i | 0.120760 | + | 0.264428i | ||||
\(153\) | 106.897 | − | 68.6983i | 0.0564842 | − | 0.0363002i | ||||
\(154\) | −68.7249 | − | 20.1794i | −0.0359611 | − | 0.0105591i | ||||
\(155\) | 68.6835 | + | 477.705i | 0.0355922 | + | 0.247549i | ||||
\(156\) | 226.849 | − | 496.729i | 0.116426 | − | 0.254937i | ||||
\(157\) | −264.137 | + | 1837.12i | −0.134270 | + | 0.933871i | 0.805629 | + | 0.592420i | \(0.201827\pi\) |
−0.939900 | + | 0.341451i | \(0.889082\pi\) | |||||||
\(158\) | 15.5752 | + | 10.0095i | 0.00784236 | + | 0.00503998i | ||||
\(159\) | 118.623 | + | 136.899i | 0.0591663 | + | 0.0682815i | ||||
\(160\) | −254.863 | −0.125929 | ||||||||
\(161\) | −56.4364 | − | 29.9586i | −0.0276262 | − | 0.0146650i | ||||
\(162\) | −162.000 | −0.0785674 | ||||||||
\(163\) | 573.510 | + | 661.866i | 0.275588 | + | 0.318045i | 0.876623 | − | 0.481177i | \(-0.159791\pi\) |
−0.601036 | + | 0.799222i | \(0.705245\pi\) | |||||||
\(164\) | −1642.95 | − | 1055.86i | −0.782274 | − | 0.502737i | ||||
\(165\) | −210.230 | + | 1462.18i | −0.0991900 | + | 0.689882i | ||||
\(166\) | 332.438 | − | 727.938i | 0.155435 | − | 0.340355i | ||||
\(167\) | −146.796 | − | 1020.99i | −0.0680204 | − | 0.473093i | −0.995151 | − | 0.0983551i | \(-0.968642\pi\) |
0.927131 | − | 0.374738i | \(-0.122267\pi\) | |||||||
\(168\) | −13.3392 | − | 3.91674i | −0.00612583 | − | 0.00179871i | ||||
\(169\) | −106.138 | + | 68.2110i | −0.0483106 | + | 0.0310473i | ||||
\(170\) | −93.4250 | − | 204.572i | −0.0421492 | − | 0.0922939i | ||||
\(171\) | 588.032 | − | 172.662i | 0.262970 | − | 0.0772150i | ||||
\(172\) | 283.572 | − | 327.259i | 0.125710 | − | 0.145077i | ||||
\(173\) | −1717.70 | + | 1982.33i | −0.754880 | + | 0.871178i | −0.995032 | − | 0.0995572i | \(-0.968257\pi\) |
0.240152 | + | 0.970735i | \(0.422803\pi\) | |||||||
\(174\) | −87.8941 | + | 25.8080i | −0.0382944 | + | 0.0112443i | ||||
\(175\) | −14.8153 | − | 32.4409i | −0.00639959 | − | 0.0140131i | ||||
\(176\) | −832.172 | + | 534.804i | −0.356405 | + | 0.229048i | ||||
\(177\) | −903.607 | − | 265.323i | −0.383725 | − | 0.112672i | ||||
\(178\) | 286.307 | + | 1991.31i | 0.120560 | + | 0.838512i | ||||
\(179\) | −1395.85 | + | 3056.49i | −0.582854 | + | 1.27627i | 0.356811 | + | 0.934177i | \(0.383864\pi\) |
−0.939665 | + | 0.342096i | \(0.888863\pi\) | |||||||
\(180\) | −40.8046 | + | 283.802i | −0.0168966 | + | 0.117519i | ||||
\(181\) | −443.919 | − | 285.289i | −0.182300 | − | 0.117157i | 0.446308 | − | 0.894879i | \(-0.352739\pi\) |
−0.628608 | + | 0.777723i | \(0.716375\pi\) | |||||||
\(182\) | −34.5245 | − | 39.8434i | −0.0140611 | − | 0.0162274i | ||||
\(183\) | 1079.91 | 0.436226 | ||||||||
\(184\) | −823.103 | + | 318.102i | −0.329782 | + | 0.127450i | ||||
\(185\) | −2525.68 | −1.00374 | ||||||||
\(186\) | 238.093 | + | 274.774i | 0.0938593 | + | 0.108319i | ||||
\(187\) | −734.324 | − | 471.922i | −0.287161 | − | 0.184547i | ||||
\(188\) | −97.3283 | + | 676.933i | −0.0377574 | + | 0.262609i | ||||
\(189\) | −6.49713 | + | 14.2267i | −0.00250051 | + | 0.00547536i | ||||
\(190\) | −154.366 | − | 1073.64i | −0.0589416 | − | 0.409948i | ||||
\(191\) | −612.392 | − | 179.814i | −0.231995 | − | 0.0681200i | 0.163668 | − | 0.986515i | \(-0.447667\pi\) |
−0.395664 | + | 0.918395i | \(0.629485\pi\) | |||||||
\(192\) | −161.521 | + | 103.803i | −0.0607122 | + | 0.0390174i | ||||
\(193\) | −1191.11 | − | 2608.17i | −0.444238 | − | 0.972745i | −0.990801 | − | 0.135327i | \(-0.956791\pi\) |
0.546563 | − | 0.837418i | \(-0.315936\pi\) | |||||||
\(194\) | 589.691 | − | 173.149i | 0.218234 | − | 0.0640792i | ||||
\(195\) | −712.031 | + | 821.728i | −0.261485 | + | 0.301770i | ||||
\(196\) | 897.590 | − | 1035.87i | 0.327110 | − | 0.377505i | ||||
\(197\) | −2315.22 | + | 679.811i | −0.837324 | + | 0.245860i | −0.672160 | − | 0.740406i | \(-0.734633\pi\) |
−0.165164 | + | 0.986266i | \(0.552815\pi\) | |||||||
\(198\) | 462.297 | + | 1012.29i | 0.165929 | + | 0.363335i | ||||
\(199\) | −1960.69 | + | 1260.06i | −0.698441 | + | 0.448861i | −0.841078 | − | 0.540914i | \(-0.818078\pi\) |
0.142637 | + | 0.989775i | \(0.454442\pi\) | |||||||
\(200\) | −472.588 | − | 138.764i | −0.167085 | − | 0.0490606i | ||||
\(201\) | 244.857 | + | 1703.02i | 0.0859248 | + | 0.597620i | ||||
\(202\) | −1302.80 | + | 2852.74i | −0.453787 | + | 0.993655i | ||||
\(203\) | −1.25861 | + | 8.75385i | −0.000435160 | + | 0.00302660i | ||||
\(204\) | −142.529 | − | 91.5978i | −0.0489168 | − | 0.0314369i | ||||
\(205\) | 2546.49 | + | 2938.81i | 0.867585 | + | 1.00125i | ||||
\(206\) | −1345.38 | −0.455034 | ||||||||
\(207\) | 222.440 | + | 967.495i | 0.0746892 | + | 0.324858i | ||||
\(208\) | −728.103 | −0.242716 | ||||||||
\(209\) | −2756.97 | − | 3181.71i | −0.912456 | − | 1.05303i | ||||
\(210\) | 23.2868 | + | 14.9655i | 0.00765211 | + | 0.00491771i | ||||
\(211\) | 285.347 | − | 1984.64i | 0.0931001 | − | 0.647526i | −0.888824 | − | 0.458249i | \(-0.848477\pi\) |
0.981924 | − | 0.189276i | \(-0.0606142\pi\) | |||||||
\(212\) | 100.333 | − | 219.698i | 0.0325041 | − | 0.0711741i | ||||
\(213\) | −220.858 | − | 1536.10i | −0.0710468 | − | 0.494141i | ||||
\(214\) | 1834.54 | + | 538.671i | 0.586013 | + | 0.172069i | ||||
\(215\) | −725.332 | + | 466.143i | −0.230080 | + | 0.147864i | ||||
\(216\) | 89.7296 | + | 196.481i | 0.0282654 | + | 0.0618926i | ||||
\(217\) | 33.6794 | − | 9.88916i | 0.0105360 | − | 0.00309364i | ||||
\(218\) | −70.6881 | + | 81.5784i | −0.0219615 | + | 0.0253449i | ||||
\(219\) | 2223.06 | − | 2565.55i | 0.685938 | − | 0.791615i | ||||
\(220\) | 1889.84 | − | 554.906i | 0.579149 | − | 0.170053i | ||||
\(221\) | −266.901 | − | 584.431i | −0.0812384 | − | 0.177887i | ||||
\(222\) | −1600.66 | + | 1028.68i | −0.483916 | + | 0.310994i | ||||
\(223\) | −3876.14 | − | 1138.14i | −1.16397 | − | 0.341773i | −0.357997 | − | 0.933723i | \(-0.616540\pi\) |
−0.805975 | + | 0.591950i | \(0.798358\pi\) | |||||||
\(224\) | 2.63801 | + | 18.3477i | 0.000786872 | + | 0.00547281i | ||||
\(225\) | −230.184 | + | 504.033i | −0.0682028 | + | 0.149343i | ||||
\(226\) | −486.360 | + | 3382.70i | −0.143151 | + | 0.995638i | ||||
\(227\) | −4316.11 | − | 2773.80i | −1.26198 | − | 0.811028i | −0.273430 | − | 0.961892i | \(-0.588158\pi\) |
−0.988555 | + | 0.150863i | \(0.951795\pi\) | |||||||
\(228\) | −535.114 | − | 617.555i | −0.155433 | − | 0.179380i | ||||
\(229\) | 4423.04 | 1.27634 | 0.638172 | − | 0.769894i | \(-0.279691\pi\) | ||||
0.638172 | + | 0.769894i | \(0.279691\pi\) | |||||||
\(230\) | 1750.95 | − | 145.992i | 0.501975 | − | 0.0418541i | ||||
\(231\) | 107.439 | 0.0306017 | ||||||||
\(232\) | 79.9844 | + | 92.3070i | 0.0226346 | + | 0.0261218i | ||||
\(233\) | 912.303 | + | 586.302i | 0.256511 | + | 0.164849i | 0.662576 | − | 0.748995i | \(-0.269463\pi\) |
−0.406065 | + | 0.913844i | \(0.633100\pi\) | |||||||
\(234\) | −116.572 | + | 810.778i | −0.0325665 | + | 0.226505i | ||||
\(235\) | 565.675 | − | 1238.66i | 0.157024 | − | 0.343834i | ||||
\(236\) | 178.701 | + | 1242.89i | 0.0492900 | + | 0.342820i | ||||
\(237\) | −26.6464 | − | 7.82409i | −0.00730325 | − | 0.00214443i | ||||
\(238\) | −13.7603 | + | 8.84320i | −0.00374768 | + | 0.00240849i | ||||
\(239\) | −1206.66 | − | 2642.21i | −0.326578 | − | 0.715106i | 0.673124 | − | 0.739530i | \(-0.264952\pi\) |
−0.999702 | + | 0.0244241i | \(0.992225\pi\) | |||||||
\(240\) | 366.808 | − | 107.705i | 0.0986557 | − | 0.0289679i | ||||
\(241\) | −2702.81 | + | 3119.21i | −0.722420 | + | 0.833717i | −0.991596 | − | 0.129374i | \(-0.958703\pi\) |
0.269176 | + | 0.963091i | \(0.413249\pi\) | |||||||
\(242\) | 3263.00 | − | 3765.70i | 0.866750 | − | 1.00028i | ||||
\(243\) | 233.157 | − | 68.4610i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | −598.149 | − | 1309.76i | −0.156937 | − | 0.343643i | ||||
\(245\) | −2295.90 | + | 1475.48i | −0.598691 | + | 0.384756i | ||||
\(246\) | 2810.80 | + | 825.327i | 0.728497 | + | 0.213906i | ||||
\(247\) | −441.001 | − | 3067.23i | −0.113604 | − | 0.790133i | ||||
\(248\) | 201.381 | − | 440.963i | 0.0515633 | − | 0.112908i | ||||
\(249\) | −170.832 | + | 1188.17i | −0.0434782 | + | 0.302397i | ||||
\(250\) | 2500.05 | + | 1606.69i | 0.632468 | + | 0.406463i | ||||
\(251\) | 4735.63 | + | 5465.21i | 1.19088 | + | 1.37435i | 0.910003 | + | 0.414601i | \(0.136079\pi\) |
0.280874 | + | 0.959745i | \(0.409376\pi\) | |||||||
\(252\) | 20.8535 | 0.00521288 | ||||||||
\(253\) | 5410.81 | − | 4150.89i | 1.34456 | − | 1.03148i | ||||
\(254\) | 1047.29 | 0.258712 | ||||||||
\(255\) | 220.913 | + | 254.947i | 0.0542514 | + | 0.0626094i | ||||
\(256\) | 215.361 | + | 138.404i | 0.0525783 | + | 0.0337901i | ||||
\(257\) | −341.117 | + | 2372.52i | −0.0827949 | + | 0.575851i | 0.905622 | + | 0.424086i | \(0.139405\pi\) |
−0.988417 | + | 0.151765i | \(0.951504\pi\) | |||||||
\(258\) | −269.828 | + | 590.841i | −0.0651115 | + | 0.142574i | ||||
\(259\) | 26.1425 | + | 181.825i | 0.00627189 | + | 0.0436219i | ||||
\(260\) | 1391.01 | + | 408.438i | 0.331795 | + | 0.0974239i | ||||
\(261\) | 115.594 | − | 74.2879i | 0.0274142 | − | 0.0176180i | ||||
\(262\) | −191.899 | − | 420.200i | −0.0452502 | − | 0.0990841i | ||||
\(263\) | 6568.73 | − | 1928.75i | 1.54010 | − | 0.452213i | 0.601973 | − | 0.798516i | \(-0.294381\pi\) |
0.938123 | + | 0.346303i | \(0.112563\pi\) | |||||||
\(264\) | 971.687 | − | 1121.39i | 0.226527 | − | 0.261426i | ||||
\(265\) | −314.923 | + | 363.441i | −0.0730022 | + | 0.0842491i | ||||
\(266\) | −75.6945 | + | 22.2259i | −0.0174478 | + | 0.00512315i | ||||
\(267\) | −1253.59 | − | 2744.98i | −0.287335 | − | 0.629176i | ||||
\(268\) | 1929.87 | − | 1240.25i | 0.439872 | − | 0.282688i | ||||
\(269\) | −7083.87 | − | 2080.01i | −1.60562 | − | 0.471452i | −0.648516 | − | 0.761201i | \(-0.724610\pi\) |
−0.957103 | + | 0.289749i | \(0.906428\pi\) | |||||||
\(270\) | −61.2069 | − | 425.703i | −0.0137960 | − | 0.0959536i | ||||
\(271\) | −2495.54 | + | 5464.48i | −0.559386 | + | 1.22488i | 0.392873 | + | 0.919593i | \(0.371481\pi\) |
−0.952259 | + | 0.305291i | \(0.901246\pi\) | |||||||
\(272\) | −32.1488 | + | 223.600i | −0.00716657 | + | 0.0498446i | ||||
\(273\) | 66.5268 | + | 42.7542i | 0.0147487 | + | 0.00947839i | ||||
\(274\) | −3699.35 | − | 4269.28i | −0.815643 | − | 0.941302i | ||||
\(275\) | 3806.43 | 0.834677 | ||||||||
\(276\) | 1050.21 | − | 805.668i | 0.229041 | − | 0.175708i | ||||
\(277\) | −5329.75 | −1.15608 | −0.578039 | − | 0.816009i | \(-0.696182\pi\) | ||||
−0.578039 | + | 0.816009i | \(0.696182\pi\) | |||||||
\(278\) | 2772.64 | + | 3199.80i | 0.598172 | + | 0.690328i | ||||
\(279\) | −458.792 | − | 294.848i | −0.0984486 | − | 0.0632691i | ||||
\(280\) | 5.25257 | − | 36.5325i | 0.00112108 | − | 0.00779726i | ||||
\(281\) | 2277.46 | − | 4986.95i | 0.483495 | − | 1.05871i | −0.497993 | − | 0.867181i | \(-0.665929\pi\) |
0.981488 | − | 0.191525i | \(-0.0613434\pi\) | |||||||
\(282\) | −145.992 | − | 1015.40i | −0.0308288 | − | 0.214419i | ||||
\(283\) | −4123.51 | − | 1210.77i | −0.866138 | − | 0.254321i | −0.181666 | − | 0.983360i | \(-0.558149\pi\) |
−0.684472 | + | 0.729039i | \(0.739967\pi\) | |||||||
\(284\) | −1740.72 | + | 1118.69i | −0.363707 | + | 0.233740i | ||||
\(285\) | 675.890 | + | 1479.99i | 0.140478 | + | 0.307604i | ||||
\(286\) | 5398.97 | − | 1585.28i | 1.11625 | − | 0.327761i | ||||
\(287\) | 185.209 | − | 213.743i | 0.0380925 | − | 0.0439611i | ||||
\(288\) | 188.600 | − | 217.656i | 0.0385880 | − | 0.0445330i | ||||
\(289\) | 4522.73 | − | 1327.99i | 0.920563 | − | 0.270302i | ||||
\(290\) | −101.026 | − | 221.217i | −0.0204568 | − | 0.0447942i | ||||
\(291\) | −775.534 | + | 498.405i | −0.156229 | + | 0.100402i | ||||
\(292\) | −4342.93 | − | 1275.20i | −0.870379 | − | 0.255566i | ||||
\(293\) | 70.0738 | + | 487.374i | 0.0139719 | + | 0.0971764i | 0.995614 | − | 0.0935551i | \(-0.0298231\pi\) |
−0.981642 | + | 0.190731i | \(0.938914\pi\) | |||||||
\(294\) | −854.088 | + | 1870.19i | −0.169427 | + | 0.370992i | ||||
\(295\) | 355.814 | − | 2474.74i | 0.0702247 | − | 0.488424i | ||||
\(296\) | 2134.22 | + | 1371.58i | 0.419084 | + | 0.269329i | ||||
\(297\) | −1093.15 | − | 1261.56i | −0.213572 | − | 0.246475i | ||||
\(298\) | −137.564 | −0.0267411 | ||||||||
\(299\) | 5002.19 | − | 417.077i | 0.967505 | − | 0.0806696i | ||||
\(300\) | 738.809 | 0.142184 | ||||||||
\(301\) | 41.0657 | + | 47.3923i | 0.00786374 | + | 0.00907524i | ||||
\(302\) | 2481.69 | + | 1594.88i | 0.472865 | + | 0.303892i | ||||
\(303\) | 669.481 | − | 4656.35i | 0.126933 | − | 0.882839i | ||||
\(304\) | −452.604 | + | 991.065i | −0.0853902 | + | 0.186979i | ||||
\(305\) | 408.012 | + | 2837.79i | 0.0765991 | + | 0.532758i | ||||
\(306\) | 243.842 | + | 71.5986i | 0.0455540 | + | 0.0133759i | ||||
\(307\) | −2742.02 | + | 1762.19i | −0.509756 | + | 0.327600i | −0.770108 | − | 0.637913i | \(-0.779798\pi\) |
0.260352 | + | 0.965514i | \(0.416161\pi\) | |||||||
\(308\) | −59.5092 | − | 130.307i | −0.0110093 | − | 0.0241069i | ||||
\(309\) | 1936.32 | − | 568.556i | 0.356484 | − | 0.104673i | ||||
\(310\) | −632.094 | + | 729.475i | −0.115808 | + | 0.133650i | ||||
\(311\) | 6520.09 | − | 7524.59i | 1.18881 | − | 1.37196i | 0.277251 | − | 0.960797i | \(-0.410577\pi\) |
0.911561 | − | 0.411165i | \(-0.134878\pi\) | |||||||
\(312\) | 1047.91 | − | 307.695i | 0.190149 | − | 0.0558327i | ||||
\(313\) | 4269.26 | + | 9348.37i | 0.770967 | + | 1.68818i | 0.724512 | + | 0.689262i | \(0.242065\pi\) |
0.0464552 | + | 0.998920i | \(0.485208\pi\) | |||||||
\(314\) | −3122.75 | + | 2006.87i | −0.561232 | + | 0.360682i | ||||
\(315\) | −39.8397 | − | 11.6980i | −0.00712608 | − | 0.00209241i | ||||
\(316\) | 5.26970 | + | 36.6515i | 0.000938113 | + | 0.00652472i | ||||
\(317\) | 2496.02 | − | 5465.52i | 0.442241 | − | 0.968373i | −0.548941 | − | 0.835861i | \(-0.684969\pi\) |
0.991182 | − | 0.132511i | \(-0.0423041\pi\) | |||||||
\(318\) | −51.5586 | + | 358.598i | −0.00909202 | + | 0.0632364i | ||||
\(319\) | −794.072 | − | 510.319i | −0.139371 | − | 0.0895686i | ||||
\(320\) | −333.799 | − | 385.225i | −0.0583123 | − | 0.0672960i | ||||
\(321\) | −2867.99 | −0.498678 | ||||||||
\(322\) | −28.6337 | − | 124.541i | −0.00495556 | − | 0.0215540i | ||||
\(323\) | −961.416 | −0.165618 | ||||||||
\(324\) | −212.175 | − | 244.863i | −0.0363812 | − | 0.0419861i | ||||
\(325\) | 2356.95 | + | 1514.72i | 0.402277 | + | 0.258528i | ||||
\(326\) | −249.271 | + | 1733.72i | −0.0423493 | + | 0.294546i | ||||
\(327\) | 67.2622 | − | 147.284i | 0.0113749 | − | 0.0249077i | ||||
\(328\) | −555.876 | − | 3866.20i | −0.0935766 | − | 0.650839i | ||||
\(329\) | −95.0269 | − | 27.9024i | −0.0159240 | − | 0.00467571i | ||||
\(330\) | −2485.42 | + | 1597.29i | −0.414600 | + | 0.266447i | ||||
\(331\) | 3025.33 | + | 6624.55i | 0.502378 | + | 1.10006i | 0.975689 | + | 0.219160i | \(0.0703316\pi\) |
−0.473311 | + | 0.880896i | \(0.656941\pi\) | |||||||
\(332\) | 1535.68 | − | 450.916i | 0.253859 | − | 0.0745399i | ||||
\(333\) | 1869.02 | − | 2156.96i | 0.307572 | − | 0.354957i | ||||
\(334\) | 1350.96 | − | 1559.09i | 0.221321 | − | 0.255418i | ||||
\(335\) | −4382.67 | + | 1286.87i | −0.714779 | + | 0.209878i | ||||
\(336\) | −11.5505 | − | 25.2920i | −0.00187538 | − | 0.00410652i | ||||
\(337\) | −1885.13 | + | 1211.50i | −0.304716 | + | 0.195829i | −0.684058 | − | 0.729427i | \(-0.739787\pi\) |
0.379342 | + | 0.925256i | \(0.376150\pi\) | |||||||
\(338\) | −242.112 | − | 71.0906i | −0.0389621 | − | 0.0114403i | ||||
\(339\) | −729.539 | − | 5074.06i | −0.116882 | − | 0.812935i | ||||
\(340\) | 186.850 | − | 409.144i | 0.0298040 | − | 0.0652617i | ||||
\(341\) | −533.166 | + | 3708.25i | −0.0846703 | + | 0.588895i | ||||
\(342\) | 1031.14 | + | 662.671i | 0.163033 | + | 0.104775i | ||||
\(343\) | 260.098 | + | 300.169i | 0.0409445 | + | 0.0472524i | ||||
\(344\) | 866.052 | 0.135739 | ||||||||
\(345\) | −2458.34 | + | 950.067i | −0.383630 | + | 0.148261i | ||||
\(346\) | −5246.00 | −0.815106 | ||||||||
\(347\) | 1980.03 | + | 2285.08i | 0.306321 | + | 0.353514i | 0.887949 | − | 0.459941i | \(-0.152129\pi\) |
−0.581628 | + | 0.813455i | \(0.697584\pi\) | |||||||
\(348\) | −154.126 | − | 99.0505i | −0.0237414 | − | 0.0152577i | ||||
\(349\) | −705.581 | + | 4907.43i | −0.108220 | + | 0.752689i | 0.861374 | + | 0.507971i | \(0.169604\pi\) |
−0.969594 | + | 0.244718i | \(0.921305\pi\) | |||||||
\(350\) | 29.6305 | − | 64.8818i | 0.00452519 | − | 0.00990879i | ||||
\(351\) | −174.858 | − | 1216.17i | −0.0265905 | − | 0.184941i | ||||
\(352\) | −1898.27 | − | 557.382i | −0.287438 | − | 0.0843994i | ||||
\(353\) | 4704.55 | − | 3023.43i | 0.709343 | − | 0.455867i | −0.135572 | − | 0.990767i | \(-0.543287\pi\) |
0.844915 | + | 0.534900i | \(0.179651\pi\) | |||||||
\(354\) | −782.438 | − | 1713.30i | −0.117475 | − | 0.257234i | ||||
\(355\) | 3953.12 | − | 1160.74i | 0.591014 | − | 0.173537i | ||||
\(356\) | −2634.88 | + | 3040.82i | −0.392271 | + | 0.452705i | ||||
\(357\) | 16.0672 | − | 18.5426i | 0.00238198 | − | 0.00274895i | ||||
\(358\) | −6448.06 | + | 1893.32i | −0.951929 | + | 0.279511i | ||||
\(359\) | 3604.06 | + | 7891.80i | 0.529847 | + | 1.16020i | 0.965575 | + | 0.260125i | \(0.0837639\pi\) |
−0.435727 | + | 0.900079i | \(0.643509\pi\) | |||||||
\(360\) | −482.409 | + | 310.026i | −0.0706255 | + | 0.0453883i | ||||
\(361\) | 2132.04 | + | 626.023i | 0.310838 | + | 0.0912703i | ||||
\(362\) | −150.195 | − | 1044.63i | −0.0218069 | − | 0.151670i | ||||
\(363\) | −3104.85 | + | 6798.68i | −0.448933 | + | 0.983026i | ||||
\(364\) | 15.0058 | − | 104.368i | 0.00216076 | − | 0.0150284i | ||||
\(365\) | 7581.66 | + | 4872.44i | 1.08724 | + | 0.698726i | ||||
\(366\) | 1414.38 | + | 1632.29i | 0.201997 | + | 0.233117i | ||||
\(367\) | −9062.51 | −1.28899 | −0.644494 | − | 0.764609i | \(-0.722932\pi\) | ||||
−0.644494 | + | 0.764609i | \(0.722932\pi\) | |||||||
\(368\) | −1558.85 | − | 827.494i | −0.220817 | − | 0.117218i | ||||
\(369\) | −4394.20 | −0.619927 | ||||||||
\(370\) | −3307.93 | − | 3817.56i | −0.464787 | − | 0.536393i | ||||
\(371\) | 29.4241 | + | 18.9097i | 0.00411758 | + | 0.00264621i | ||||
\(372\) | −103.485 | + | 719.755i | −0.0144233 | + | 0.100316i | ||||
\(373\) | 4759.84 | − | 10422.6i | 0.660738 | − | 1.44682i | −0.221094 | − | 0.975252i | \(-0.570963\pi\) |
0.881833 | − | 0.471563i | \(-0.156310\pi\) | |||||||
\(374\) | −248.451 | − | 1728.02i | −0.0343506 | − | 0.238913i | ||||
\(375\) | −4277.16 | − | 1255.89i | −0.588990 | − | 0.172943i | ||||
\(376\) | −1150.66 | + | 739.482i | −0.157821 | + | 0.101425i | ||||
\(377\) | −288.617 | − | 631.982i | −0.0394284 | − | 0.0863362i | ||||
\(378\) | −30.0131 | + | 8.81265i | −0.00408389 | + | 0.00119914i | ||||
\(379\) | −6744.39 | + | 7783.44i | −0.914079 | + | 1.05490i | 0.0842107 | + | 0.996448i | \(0.473163\pi\) |
−0.998290 | + | 0.0584558i | \(0.981382\pi\) | |||||||
\(380\) | 1420.63 | − | 1639.50i | 0.191781 | − | 0.221327i | ||||
\(381\) | −1507.30 | + | 442.584i | −0.202681 | + | 0.0595125i | ||||
\(382\) | −530.273 | − | 1161.14i | −0.0710239 | − | 0.155521i | ||||
\(383\) | 472.048 | − | 303.367i | 0.0629779 | − | 0.0404734i | −0.508773 | − | 0.860901i | \(-0.669901\pi\) |
0.571751 | + | 0.820427i | \(0.306264\pi\) | |||||||
\(384\) | −368.445 | − | 108.185i | −0.0489639 | − | 0.0143771i | ||||
\(385\) | 40.5927 | + | 282.329i | 0.00537350 | + | 0.0373735i | ||||
\(386\) | 2382.22 | − | 5216.33i | 0.314124 | − | 0.687835i | ||||
\(387\) | 138.659 | − | 964.391i | 0.0182129 | − | 0.126674i | ||||
\(388\) | 1034.05 | + | 664.541i | 0.135298 | + | 0.0869509i | ||||
\(389\) | 6082.44 | + | 7019.51i | 0.792781 | + | 0.914918i | 0.997962 | − | 0.0638056i | \(-0.0203238\pi\) |
−0.205181 | + | 0.978724i | \(0.565778\pi\) | |||||||
\(390\) | −2174.60 | −0.282347 | ||||||||
\(391\) | 92.7835 | − | 1554.58i | 0.0120007 | − | 0.201071i | ||||
\(392\) | 2741.32 | 0.353208 | ||||||||
\(393\) | 453.765 | + | 523.672i | 0.0582427 | + | 0.0672157i | ||||
\(394\) | −4059.83 | − | 2609.09i | −0.519115 | − | 0.333615i | ||||
\(395\) | 10.4926 | − | 72.9774i | 0.00133655 | − | 0.00929593i | ||||
\(396\) | −924.594 | + | 2024.58i | −0.117330 | + | 0.256916i | ||||
\(397\) | −1515.96 | − | 10543.7i | −0.191646 | − | 1.33293i | −0.827650 | − | 0.561244i | \(-0.810323\pi\) |
0.636004 | − | 0.771686i | \(-0.280586\pi\) | |||||||
\(398\) | −4472.54 | − | 1313.26i | −0.563287 | − | 0.165396i | ||||
\(399\) | 99.5498 | − | 63.9768i | 0.0124905 | − | 0.00802718i | ||||
\(400\) | −409.217 | − | 896.059i | −0.0511521 | − | 0.112007i | ||||
\(401\) | 548.904 | − | 161.173i | 0.0683565 | − | 0.0200713i | −0.247376 | − | 0.968920i | \(-0.579568\pi\) |
0.315732 | + | 0.948848i | \(0.397750\pi\) | |||||||
\(402\) | −2253.42 | + | 2600.58i | −0.279578 | + | 0.322650i | ||||
\(403\) | −1805.79 | + | 2084.00i | −0.223208 | + | 0.257596i | ||||
\(404\) | −6018.23 | + | 1767.11i | −0.741134 | + | 0.217617i | ||||
\(405\) | 267.993 | + | 586.823i | 0.0328807 | + | 0.0719986i | ||||
\(406\) | −14.8799 | + | 9.56272i | −0.00181891 | + | 0.00116894i | ||||
\(407\) | −18811.8 | − | 5523.63i | −2.29107 | − | 0.672718i | ||||
\(408\) | −48.2232 | − | 335.400i | −0.00585148 | − | 0.0406980i | ||||
\(409\) | −765.198 | + | 1675.55i | −0.0925101 | + | 0.202569i | −0.950231 | − | 0.311547i | \(-0.899153\pi\) |
0.857721 | + | 0.514116i | \(0.171880\pi\) | |||||||
\(410\) | −1106.81 | + | 7698.05i | −0.133321 | + | 0.927267i | ||||
\(411\) | 7128.45 | + | 4581.18i | 0.855524 | + | 0.549812i | ||||
\(412\) | −1762.07 | − | 2033.54i | −0.210706 | − | 0.243168i | ||||
\(413\) | −181.841 | −0.0216654 | ||||||||
\(414\) | −1171.03 | + | 1603.37i | −0.139017 | + | 0.190341i | ||||
\(415\) | −3186.80 | −0.376949 | ||||||||
\(416\) | −953.612 | − | 1100.53i | −0.112391 | − | 0.129706i | ||||
\(417\) | −5342.72 | − | 3433.56i | −0.627420 | − | 0.403219i | ||||
\(418\) | 1198.29 | − | 8334.31i | 0.140216 | − | 0.975225i | ||||
\(419\) | −1404.20 | + | 3074.76i | −0.163722 | + | 0.358501i | −0.973657 | − | 0.228019i | \(-0.926775\pi\) |
0.809935 | + | 0.586520i | \(0.199502\pi\) | |||||||
\(420\) | 7.87886 | + | 54.7987i | 0.000915355 | + | 0.00636643i | ||||
\(421\) | 1520.12 | + | 446.348i | 0.175977 | + | 0.0516714i | 0.368534 | − | 0.929614i | \(-0.379860\pi\) |
−0.192557 | + | 0.981286i | \(0.561678\pi\) | |||||||
\(422\) | 3373.50 | − | 2168.02i | 0.389146 | − | 0.250089i | ||||
\(423\) | 639.225 | + | 1399.71i | 0.0734756 | + | 0.160889i | ||||
\(424\) | 463.481 | − | 136.090i | 0.0530863 | − | 0.0155876i | ||||
\(425\) | 569.239 | − | 656.937i | 0.0649698 | − | 0.0749791i | ||||
\(426\) | 2032.56 | − | 2345.69i | 0.231168 | − | 0.266782i | ||||
\(427\) | 200.071 | − | 58.7462i | 0.0226748 | − | 0.00665791i | ||||
\(428\) | 1588.54 | + | 3478.42i | 0.179404 | + | 0.392840i | ||||
\(429\) | −7100.47 | + | 4563.19i | −0.799100 | + | 0.513550i | ||||
\(430\) | −1654.56 | − | 485.822i | −0.185558 | − | 0.0544847i | ||||
\(431\) | −545.238 | − | 3792.21i | −0.0609355 | − | 0.423815i | −0.997340 | − | 0.0728925i | \(-0.976777\pi\) |
0.936404 | − | 0.350923i | \(-0.114132\pi\) | |||||||
\(432\) | −179.459 | + | 392.961i | −0.0199867 | + | 0.0437647i | ||||
\(433\) | 449.847 | − | 3128.75i | 0.0499267 | − | 0.347248i | −0.949511 | − | 0.313732i | \(-0.898421\pi\) |
0.999438 | − | 0.0335156i | \(-0.0106704\pi\) | |||||||
\(434\) | 59.0581 | + | 37.9543i | 0.00653198 | + | 0.00419785i | ||||
\(435\) | 238.887 | + | 275.691i | 0.0263305 | + | 0.0303870i | ||||
\(436\) | −215.887 | −0.0237136 | ||||||||
\(437\) | 2541.76 | − | 7068.05i | 0.278235 | − | 0.773708i | ||||
\(438\) | 6789.42 | 0.740664 | ||||||||
\(439\) | 4343.46 | + | 5012.62i | 0.472214 | + | 0.544964i | 0.941026 | − | 0.338334i | \(-0.109863\pi\) |
−0.468812 | + | 0.883298i | \(0.655318\pi\) | |||||||
\(440\) | 3313.90 | + | 2129.71i | 0.359054 | + | 0.230750i | ||||
\(441\) | 438.896 | − | 3052.59i | 0.0473919 | − | 0.329618i | ||||
\(442\) | 533.801 | − | 1168.86i | 0.0574442 | − | 0.125785i | ||||
\(443\) | 560.557 | + | 3898.76i | 0.0601194 | + | 0.418139i | 0.997549 | + | 0.0699656i | \(0.0222890\pi\) |
−0.937430 | + | 0.348174i | \(0.886802\pi\) | |||||||
\(444\) | −3651.28 | − | 1072.11i | −0.390275 | − | 0.114595i | ||||
\(445\) | 6739.62 | − | 4331.29i | 0.717952 | − | 0.461400i | ||||
\(446\) | −3356.37 | − | 7349.43i | −0.356343 | − | 0.780282i | ||||
\(447\) | 197.987 | − | 58.1343i | 0.0209496 | − | 0.00615136i | ||||
\(448\) | −24.2775 | + | 28.0178i | −0.00256028 | + | 0.00295472i | ||||
\(449\) | 3580.84 | − | 4132.51i | 0.376370 | − | 0.434354i | −0.535688 | − | 0.844416i | \(-0.679948\pi\) |
0.912058 | + | 0.410062i | \(0.134493\pi\) | |||||||
\(450\) | −1063.32 | + | 312.220i | −0.111390 | + | 0.0327071i | ||||
\(451\) | 12539.7 | + | 27458.0i | 1.30925 | + | 2.86685i | ||||
\(452\) | −5749.95 | + | 3695.27i | −0.598352 | + | 0.384537i | ||||
\(453\) | −4245.74 | − | 1246.66i | −0.440358 | − | 0.129301i | ||||
\(454\) | −1460.31 | − | 10156.7i | −0.150960 | − | 1.04995i | ||||
\(455\) | −87.2141 | + | 190.972i | −0.00898607 | + | 0.0196767i | ||||
\(456\) | 232.583 | − | 1617.65i | 0.0238853 | − | 0.166126i | ||||
\(457\) | 12376.5 | + | 7953.92i | 1.26685 | + | 0.814155i | 0.989206 | − | 0.146530i | \(-0.0468104\pi\) |
0.277643 | + | 0.960684i | \(0.410447\pi\) | |||||||
\(458\) | 5792.95 | + | 6685.42i | 0.591019 | + | 0.682072i | ||||
\(459\) | −381.205 | −0.0387650 | ||||||||
\(460\) | 2513.92 | + | 2455.35i | 0.254809 | + | 0.248872i | ||||
\(461\) | −9104.80 | −0.919854 | −0.459927 | − | 0.887957i | \(-0.652124\pi\) | ||||
−0.459927 | + | 0.887957i | \(0.652124\pi\) | |||||||
\(462\) | 140.716 | + | 162.394i | 0.0141703 | + | 0.0163534i | ||||
\(463\) | −12256.4 | − | 7876.70i | −1.23024 | − | 0.790629i | −0.246314 | − | 0.969190i | \(-0.579220\pi\) |
−0.983929 | + | 0.178561i | \(0.942856\pi\) | |||||||
\(464\) | −34.7646 | + | 241.793i | −0.00347824 | + | 0.0241917i | ||||
\(465\) | 601.459 | − | 1317.01i | 0.0599828 | − | 0.131344i | ||||
\(466\) | 308.669 | + | 2146.84i | 0.0306841 | + | 0.213413i | ||||
\(467\) | 10608.2 | + | 3114.86i | 1.05116 | + | 0.308648i | 0.761285 | − | 0.648418i | \(-0.224569\pi\) |
0.289872 | + | 0.957065i | \(0.406387\pi\) | |||||||
\(468\) | −1378.17 | + | 885.694i | −0.136124 | + | 0.0874813i | ||||
\(469\) | 138.006 | + | 302.192i | 0.0135875 | + | 0.0297525i | ||||
\(470\) | 2613.10 | − | 767.277i | 0.256454 | − | 0.0753018i | ||||
\(471\) | 3646.28 | − | 4208.03i | 0.356713 | − | 0.411668i | ||||
\(472\) | −1644.58 | + | 1897.95i | −0.160377 | + | 0.185085i | ||||
\(473\) | −6421.88 | + | 1885.63i | −0.624267 | + | 0.183301i | ||||
\(474\) | −23.0733 | − | 50.5234i | −0.00223584 | − | 0.00489581i | ||||
\(475\) | 3526.91 | − | 2266.61i | 0.340686 | − | 0.218945i | ||||
\(476\) | −31.3886 | − | 9.21654i | −0.00302247 | − | 0.000887477i | ||||
\(477\) | −77.3379 | − | 537.897i | −0.00742361 | − | 0.0516323i | ||||
\(478\) | 2413.31 | − | 5284.42i | 0.230925 | − | 0.505656i | ||||
\(479\) | −905.423 | + | 6297.35i | −0.0863671 | + | 0.600696i | 0.899969 | + | 0.435953i | \(0.143589\pi\) |
−0.986336 | + | 0.164743i | \(0.947320\pi\) | |||||||
\(480\) | 643.212 | + | 413.367i | 0.0611635 | + | 0.0393074i | ||||
\(481\) | −9450.25 | − | 10906.2i | −0.895830 | − | 1.03384i | ||||
\(482\) | −8254.60 | −0.780056 | ||||||||
\(483\) | 93.8416 | + | 167.144i | 0.00884045 | + | 0.0157460i | ||||
\(484\) | 9965.47 | 0.935901 | ||||||||
\(485\) | −1602.72 | − | 1849.64i | −0.150053 | − | 0.173171i | ||||
\(486\) | 408.849 | + | 262.751i | 0.0381600 | + | 0.0245240i | ||||
\(487\) | 95.6374 | − | 665.173i | 0.00889886 | − | 0.0618930i | −0.984888 | − | 0.173192i | \(-0.944592\pi\) |
0.993787 | + | 0.111299i | \(0.0355011\pi\) | |||||||
\(488\) | 1196.30 | − | 2619.53i | 0.110971 | − | 0.242993i | ||||
\(489\) | −373.907 | − | 2600.58i | −0.0345780 | − | 0.240496i | ||||
\(490\) | −5237.17 | − | 1537.77i | −0.482840 | − | 0.141774i | ||||
\(491\) | 12150.1 | − | 7808.38i | 1.11675 | − | 0.717693i | 0.153998 | − | 0.988071i | \(-0.450785\pi\) |
0.962754 | + | 0.270378i | \(0.0871488\pi\) | |||||||
\(492\) | 2433.89 | + | 5329.48i | 0.223025 | + | 0.488356i | ||||
\(493\) | −206.825 | + | 60.7293i | −0.0188944 | + | 0.00554789i | ||||
\(494\) | 4058.52 | − | 4683.78i | 0.369639 | − | 0.426586i | ||||
\(495\) | 2902.11 | − | 3349.21i | 0.263515 | − | 0.304113i | ||||
\(496\) | 930.268 | − | 273.151i | 0.0842143 | − | 0.0247275i | ||||
\(497\) | −124.480 | − | 272.574i | −0.0112348 | − | 0.0246008i | ||||
\(498\) | −2019.65 | + | 1297.95i | −0.181733 | + | 0.116792i | ||||
\(499\) | −11185.9 | − | 3284.46i | −1.00350 | − | 0.294655i | −0.261610 | − | 0.965174i | \(-0.584253\pi\) |
−0.741893 | + | 0.670519i | \(0.766072\pi\) | |||||||
\(500\) | 845.867 | + | 5883.14i | 0.0756567 | + | 0.526204i | ||||
\(501\) | −1285.49 | + | 2814.82i | −0.114633 | + | 0.251012i | ||||
\(502\) | −2058.30 | + | 14315.8i | −0.183001 | + | 1.27280i | ||||
\(503\) | −4719.83 | − | 3033.25i | −0.418383 | − | 0.268879i | 0.314467 | − | 0.949268i | \(-0.398174\pi\) |
−0.732851 | + | 0.680390i | \(0.761811\pi\) | |||||||
\(504\) | 27.3122 | + | 31.5200i | 0.00241386 | + | 0.00278574i | ||||
\(505\) | 12488.9 | 1.10049 | ||||||||
\(506\) | 13360.7 | + | 2741.93i | 1.17383 | + | 0.240896i | ||||
\(507\) | 378.501 | 0.0331554 | ||||||||
\(508\) | 1371.66 | + | 1582.98i | 0.119798 | + | 0.138255i | ||||
\(509\) | −10112.9 | − | 6499.19i | −0.880644 | − | 0.565956i | 0.0203469 | − | 0.999793i | \(-0.493523\pi\) |
−0.900991 | + | 0.433837i | \(0.857159\pi\) | |||||||
\(510\) | −96.0179 | + | 667.819i | −0.00833676 | + | 0.0579834i | ||||
\(511\) | 272.295 | − | 596.242i | 0.0235726 | − | 0.0516168i | ||||
\(512\) | 72.8652 | + | 506.789i | 0.00628949 | + | 0.0437443i | ||||
\(513\) | −1764.09 | − | 517.985i | −0.151826 | − | 0.0445801i | ||||
\(514\) | −4032.83 | + | 2591.74i | −0.346071 | + | 0.222406i | ||||
\(515\) | 2225.63 | + | 4873.45i | 0.190433 | + | 0.416990i | ||||
\(516\) | −1246.46 | + | 365.992i | −0.106341 | + | 0.0312247i | ||||
\(517\) | 6922.20 | − | 7988.64i | 0.588855 | − | 0.679575i | ||||
\(518\) | −240.589 | + | 277.655i | −0.0204071 | + | 0.0235511i | ||||
\(519\) | 7550.25 | − | 2216.95i | 0.638573 | − | 0.187502i | ||||
\(520\) | 1204.48 | + | 2637.45i | 0.101577 | + | 0.222423i | ||||
\(521\) | 3744.31 | − | 2406.32i | 0.314858 | − | 0.202347i | −0.373661 | − | 0.927566i | \(-0.621898\pi\) |
0.688519 | + | 0.725218i | \(0.258261\pi\) | |||||||
\(522\) | 263.682 | + | 77.4241i | 0.0221093 | + | 0.00649188i | ||||
\(523\) | −256.153 | − | 1781.58i | −0.0214164 | − | 0.148954i | 0.976307 | − | 0.216389i | \(-0.0694278\pi\) |
−0.997724 | + | 0.0674342i | \(0.978519\pi\) | |||||||
\(524\) | 383.798 | − | 840.400i | 0.0319967 | − | 0.0700631i | ||||
\(525\) | −15.2264 | + | 105.902i | −0.00126578 | + | 0.00880372i | ||||
\(526\) | 11518.5 | + | 7402.50i | 0.954812 | + | 0.613620i | ||||
\(527\) | 560.261 | + | 646.575i | 0.0463099 | + | 0.0534445i | ||||
\(528\) | 2967.61 | 0.244600 | ||||||||
\(529\) | 11183.6 | + | 4792.08i | 0.919171 | + | 0.393858i | ||||
\(530\) | −961.803 | −0.0788265 | ||||||||
\(531\) | 1850.16 | + | 2135.19i | 0.151205 | + | 0.174500i | ||||
\(532\) | −132.733 | − | 85.3024i | −0.0108171 | − | 0.00695174i | ||||
\(533\) | −3161.99 | + | 21992.1i | −0.256962 | + | 1.78721i | ||||
\(534\) | 2507.18 | − | 5489.96i | 0.203177 | − | 0.444895i | ||||
\(535\) | −1083.58 | − | 7536.49i | −0.0875653 | − | 0.609030i | ||||
\(536\) | 4402.23 | + | 1292.61i | 0.354753 | + | 0.104165i | ||||
\(537\) | 8480.18 | − | 5449.88i | 0.681465 | − | 0.437951i | ||||
\(538\) | −6133.96 | − | 13431.5i | −0.491550 | − | 1.07634i | ||||
\(539\) | −20327.2 | + | 5968.60i | −1.62440 | + | 0.476968i | ||||
\(540\) | 563.286 | − | 650.066i | 0.0448888 | − | 0.0518045i | ||||
\(541\) | 7782.04 | − | 8980.95i | 0.618440 | − | 0.713718i | −0.356970 | − | 0.934116i | \(-0.616190\pi\) |
0.975410 | + | 0.220398i | \(0.0707356\pi\) | |||||||
\(542\) | −11528.0 | + | 3384.93i | −0.913600 | + | 0.268257i | ||||
\(543\) | 657.628 | + | 1440.00i | 0.0519733 | + | 0.113806i | ||||
\(544\) | −380.077 | + | 244.261i | −0.0299553 | + | 0.0192511i | ||||
\(545\) | 412.444 | + | 121.105i | 0.0324168 | + | 0.00951844i | ||||
\(546\) | 22.5087 | + | 156.551i | 0.00176425 | + | 0.0122707i | ||||
\(547\) | −5868.10 | + | 12849.3i | −0.458687 | + | 1.00438i | 0.529098 | + | 0.848561i | \(0.322530\pi\) |
−0.987785 | + | 0.155824i | \(0.950197\pi\) | |||||||
\(548\) | 1607.89 | − | 11183.1i | 0.125339 | − | 0.871752i | ||||
\(549\) | −2725.44 | − | 1751.53i | −0.211874 | − | 0.136163i | ||||
\(550\) | 4985.36 | + | 5753.41i | 0.386502 | + | 0.446048i | ||||
\(551\) | −1039.64 | −0.0803814 | ||||||||
\(552\) | 2593.25 | + | 532.196i | 0.199957 | + | 0.0410358i | ||||
\(553\) | −5.36230 | −0.000412348 | ||||||||
\(554\) | −6980.48 | − | 8055.91i | −0.535329 | − | 0.617803i | ||||
\(555\) | 6374.20 | + | 4096.45i | 0.487513 | + | 0.313306i | ||||
\(556\) | −1205.10 | + | 8381.69i | −0.0919205 | + | 0.639321i | ||||
\(557\) | 3546.12 | − | 7764.93i | 0.269756 | − | 0.590683i | −0.725473 | − | 0.688251i | \(-0.758379\pi\) |
0.995229 | + | 0.0975676i | \(0.0311062\pi\) | |||||||
\(558\) | −155.228 | − | 1079.63i | −0.0117765 | − | 0.0819076i | ||||
\(559\) | −4726.81 | − | 1387.92i | −0.357644 | − | 0.105014i | ||||
\(560\) | 62.0982 | − | 39.9081i | 0.00468594 | − | 0.00301147i | ||||
\(561\) | 1087.84 | + | 2382.03i | 0.0818691 | + | 0.179268i | ||||
\(562\) | 10520.6 | − | 3089.13i | 0.789654 | − | 0.231863i | ||||
\(563\) | −532.103 | + | 614.079i | −0.0398321 | + | 0.0459687i | −0.775316 | − | 0.631573i | \(-0.782409\pi\) |
0.735484 | + | 0.677542i | \(0.236955\pi\) | |||||||
\(564\) | 1343.57 | − | 1550.56i | 0.100309 | − | 0.115763i | ||||
\(565\) | 13058.0 | − | 3834.16i | 0.972305 | − | 0.285494i | ||||
\(566\) | −3570.57 | − | 7818.45i | −0.265163 | − | 0.580626i | ||||
\(567\) | 39.4719 | − | 25.3670i | 0.00292357 | − | 0.00187886i | ||||
\(568\) | −3970.76 | − | 1165.92i | −0.293327 | − | 0.0861285i | ||||
\(569\) | −3041.51 | − | 21154.2i | −0.224089 | − | 1.55858i | −0.722338 | − | 0.691541i | \(-0.756932\pi\) |
0.498248 | − | 0.867034i | \(-0.333977\pi\) | |||||||
\(570\) | −1351.78 | + | 2959.98i | −0.0993330 | + | 0.217509i | ||||
\(571\) | −3595.90 | + | 25010.1i | −0.263544 | + | 1.83299i | 0.242101 | + | 0.970251i | \(0.422163\pi\) |
−0.505646 | + | 0.862741i | \(0.668746\pi\) | |||||||
\(572\) | 9467.29 | + | 6084.26i | 0.692041 | + | 0.444748i | ||||
\(573\) | 1253.89 | + | 1447.06i | 0.0914168 | + | 0.105501i | ||||
\(574\) | 565.644 | 0.0411316 | ||||||||
\(575\) | 3324.67 | + | 5921.67i | 0.241128 | + | 0.429479i | ||||
\(576\) | 576.000 | 0.0416667 | ||||||||
\(577\) | −11791.1 | − | 13607.7i | −0.850731 | − | 0.981796i | 0.149244 | − | 0.988800i | \(-0.452316\pi\) |
−0.999975 | + | 0.00700411i | \(0.997771\pi\) | |||||||
\(578\) | 7930.77 | + | 5096.80i | 0.570721 | + | 0.366780i | ||||
\(579\) | −1224.17 | + | 8514.27i | −0.0878664 | + | 0.611124i | ||||
\(580\) | 202.053 | − | 442.434i | 0.0144651 | − | 0.0316743i | ||||
\(581\) | 32.9856 | + | 229.420i | 0.00235538 | + | 0.0163820i | ||||
\(582\) | −1769.07 | − | 519.447i | −0.125997 | − | 0.0369961i | ||||
\(583\) | −3140.46 | + | 2018.25i | −0.223095 | + | 0.143375i | ||||
\(584\) | −3760.57 | − | 8234.49i | −0.266461 | − | 0.583469i | ||||
\(585\) | 3129.77 | − | 918.985i | 0.221197 | − | 0.0649493i | ||||
\(586\) | −644.888 | + | 744.240i | −0.0454609 | + | 0.0524647i | ||||
\(587\) | 10888.0 | − | 12565.4i | 0.765578 | − | 0.883525i | −0.230402 | − | 0.973096i | \(-0.574004\pi\) |
0.995980 | + | 0.0895710i | \(0.0285496\pi\) | |||||||
\(588\) | −3945.41 | + | 1158.48i | −0.276711 | + | 0.0812496i | ||||
\(589\) | 1714.13 | + | 3753.43i | 0.119915 | + | 0.262576i | ||||
\(590\) | 4206.59 | − | 2703.41i | 0.293529 | − | 0.188640i | ||||
\(591\) | 6945.67 | + | 2039.43i | 0.483429 | + | 0.141948i | ||||
\(592\) | 722.091 | + | 5022.25i | 0.0501313 | + | 0.348671i | ||||
\(593\) | −1817.76 | + | 3980.34i | −0.125879 | + | 0.275637i | −0.962071 | − | 0.272801i | \(-0.912050\pi\) |
0.836191 | + | 0.548438i | \(0.184777\pi\) | |||||||
\(594\) | 475.127 | − | 3304.58i | 0.0328194 | − | 0.228264i | ||||
\(595\) | 54.7966 | + | 35.2156i | 0.00377553 | + | 0.00242639i | ||||
\(596\) | −180.170 | − | 207.928i | −0.0123827 | − | 0.0142903i | ||||
\(597\) | 6992.04 | 0.479338 | ||||||||
\(598\) | 7181.88 | + | 7014.55i | 0.491119 | + | 0.479676i | ||||
\(599\) | −23046.7 | −1.57206 | −0.786028 | − | 0.618191i | \(-0.787866\pi\) | ||||
−0.786028 | + | 0.618191i | \(0.787866\pi\) | |||||||
\(600\) | 967.634 | + | 1116.71i | 0.0658392 | + | 0.0759825i | ||||
\(601\) | 8750.53 | + | 5623.63i | 0.593913 | + | 0.381685i | 0.802794 | − | 0.596256i | \(-0.203346\pi\) |
−0.208881 | + | 0.977941i | \(0.566982\pi\) | |||||||
\(602\) | −17.8488 | + | 124.141i | −0.00120841 | + | 0.00840469i | ||||
\(603\) | 2144.20 | − | 4695.15i | 0.144807 | − | 0.317083i | ||||
\(604\) | 839.655 | + | 5839.93i | 0.0565647 | + | 0.393416i | ||||
\(605\) | −19038.6 | − | 5590.25i | −1.27939 | − | 0.375663i | ||||
\(606\) | 7914.90 | − | 5086.60i | 0.530562 | − | 0.340972i | ||||
\(607\) | −6973.23 | − | 15269.2i | −0.466284 | − | 1.02102i | −0.986010 | − | 0.166687i | \(-0.946693\pi\) |
0.519725 | − | 0.854333i | \(-0.326034\pi\) | |||||||
\(608\) | −2090.78 | + | 613.908i | −0.139461 | + | 0.0409494i | ||||
\(609\) | 17.3745 | − | 20.0513i | 0.00115608 | − | 0.00133418i | ||||
\(610\) | −3754.93 | + | 4333.42i | −0.249234 | + | 0.287631i | ||||
\(611\) | 7465.23 | − | 2191.99i | 0.494290 | − | 0.145137i | ||||
\(612\) | 211.144 | + | 462.342i | 0.0139461 | + | 0.0305377i | ||||
\(613\) | 3847.28 | − | 2472.50i | 0.253491 | − | 0.162909i | −0.407724 | − | 0.913105i | \(-0.633677\pi\) |
0.661215 | + | 0.750196i | \(0.270041\pi\) | |||||||
\(614\) | −6254.82 | − | 1836.58i | −0.411114 | − | 0.120714i | ||||
\(615\) | −1660.22 | − | 11547.1i | −0.108856 | − | 0.757110i | ||||
\(616\) | 119.018 | − | 260.614i | 0.00778472 | − | 0.0170462i | ||||
\(617\) | 3280.80 | − | 22818.5i | 0.214068 | − | 1.48888i | −0.545314 | − | 0.838232i | \(-0.683590\pi\) |
0.759383 | − | 0.650644i | \(-0.225501\pi\) | |||||||
\(618\) | 3395.41 | + | 2182.10i | 0.221009 | + | 0.142034i | ||||
\(619\) | −5907.45 | − | 6817.56i | −0.383587 | − | 0.442683i | 0.530816 | − | 0.847487i | \(-0.321885\pi\) |
−0.914404 | + | 0.404804i | \(0.867340\pi\) | |||||||
\(620\) | −1930.47 | −0.125047 | ||||||||
\(621\) | 1007.82 | − | 2802.51i | 0.0651245 | − | 0.181096i | ||||
\(622\) | 19912.9 | 1.28366 | ||||||||
\(623\) | −381.573 | − | 440.358i | −0.0245383 | − | 0.0283188i | ||||
\(624\) | 1837.56 | + | 1180.93i | 0.117886 | + | 0.0757610i | ||||
\(625\) | 588.973 | − | 4096.40i | 0.0376943 | − | 0.262169i | ||||
\(626\) | −8538.52 | + | 18696.7i | −0.545156 | + | 1.19373i | ||||
\(627\) | 1797.44 | + | 12501.5i | 0.114486 | + | 0.796268i | ||||
\(628\) | −7123.30 | − | 2091.59i | −0.452629 | − | 0.132904i | ||||
\(629\) | −3766.55 | + | 2420.61i | −0.238763 | + | 0.153444i | ||||
\(630\) | −34.4974 | − | 75.5388i | −0.00218160 | − | 0.00477705i | ||||
\(631\) | −19335.0 | + | 5677.26i | −1.21983 | + | 0.358175i | −0.827403 | − | 0.561608i | \(-0.810183\pi\) |
−0.392427 | + | 0.919783i | \(0.628365\pi\) | |||||||
\(632\) | −48.4969 | + | 55.9685i | −0.00305238 | + | 0.00352264i | ||||
\(633\) | −3939.07 | + | 4545.93i | −0.247337 | + | 0.285442i | ||||
\(634\) | 11530.2 | − | 3385.58i | 0.722277 | − | 0.212080i | ||||
\(635\) | −1732.51 | − | 3793.66i | −0.108272 | − | 0.237082i | ||||
\(636\) | −609.548 | + | 391.733i | −0.0380034 | + | 0.0244233i | ||||
\(637\) | −14961.8 | − | 4393.18i | −0.930624 | − | 0.273256i | ||||
\(638\) | −268.666 | − | 1868.61i | −0.0166718 | − | 0.115955i | ||||
\(639\) | −1934.05 | + | 4234.97i | −0.119734 | + | 0.262180i | ||||
\(640\) | 145.083 | − | 1009.07i | 0.00896079 | − | 0.0623237i | ||||
\(641\) | 19981.3 | + | 12841.2i | 1.23122 | + | 0.791259i | 0.984081 | − | 0.177720i | \(-0.0568721\pi\) |
0.247142 | + | 0.968979i | \(0.420508\pi\) | |||||||
\(642\) | −3756.27 | − | 4334.96i | −0.230916 | − | 0.266491i | ||||
\(643\) | −25010.2 | −1.53391 | −0.766955 | − | 0.641701i | \(-0.778229\pi\) | ||||
−0.766955 | + | 0.641701i | \(0.778229\pi\) | |||||||
\(644\) | 150.741 | − | 206.394i | 0.00922368 | − | 0.0126290i | ||||
\(645\) | 2586.61 | 0.157903 | ||||||||
\(646\) | −1259.19 | − | 1453.18i | −0.0766905 | − | 0.0885055i | ||||
\(647\) | −19947.3 | − | 12819.4i | −1.21207 | − | 0.778951i | −0.231067 | − | 0.972938i | \(-0.574222\pi\) |
−0.981004 | + | 0.193987i | \(0.937858\pi\) | |||||||
\(648\) | 92.2200 | − | 641.404i | 0.00559065 | − | 0.0388839i | ||||
\(649\) | 8062.42 | − | 17654.2i | 0.487639 | − | 1.06778i | ||||
\(650\) | 797.451 | + | 5546.39i | 0.0481209 | + | 0.334688i | ||||
\(651\) | −101.038 | − | 29.6675i | −0.00608294 | − | 0.00178611i | ||||
\(652\) | −2946.99 | + | 1893.92i | −0.177014 | + | 0.113760i | ||||
\(653\) | −787.562 | − | 1724.52i | −0.0471971 | − | 0.103347i | 0.884565 | − | 0.466418i | \(-0.154456\pi\) |
−0.931762 | + | 0.363071i | \(0.881728\pi\) | |||||||
\(654\) | 310.714 | − | 91.2338i | 0.0185778 | − | 0.00545493i | ||||
\(655\) | −1204.66 | + | 1390.25i | −0.0718627 | + | 0.0829340i | ||||
\(656\) | 5115.72 | − | 5903.85i | 0.304474 | − | 0.351382i | ||||
\(657\) | −9771.59 | + | 2869.20i | −0.580253 | + | 0.170378i | ||||
\(658\) | −82.2843 | − | 180.178i | −0.00487504 | − | 0.0106748i | ||||
\(659\) | 1635.13 | − | 1050.83i | 0.0966548 | − | 0.0621163i | −0.491421 | − | 0.870922i | \(-0.663522\pi\) |
0.588075 | + | 0.808806i | \(0.299886\pi\) | |||||||
\(660\) | −5669.51 | − | 1664.72i | −0.334372 | − | 0.0981804i | ||||
\(661\) | −2300.80 | − | 16002.4i | −0.135387 | − | 0.941635i | −0.938370 | − | 0.345633i | \(-0.887664\pi\) |
0.802983 | − | 0.596002i | \(-0.203245\pi\) | |||||||
\(662\) | −6050.66 | + | 13249.1i | −0.355235 | + | 0.777857i | ||||
\(663\) | −274.308 | + | 1907.86i | −0.0160682 | + | 0.111757i | ||||
\(664\) | 2692.87 | + | 1730.60i | 0.157385 | + | 0.101145i | ||||
\(665\) | 205.730 | + | 237.425i | 0.0119968 | + | 0.0138450i | ||||
\(666\) | 5708.13 | 0.332111 | ||||||||
\(667\) | 100.333 | − | 1681.07i | 0.00582444 | − | 0.0975882i | ||||
\(668\) | 4125.95 | 0.238979 | ||||||||
\(669\) | 7936.48 | + | 9159.19i | 0.458658 | + | 0.529320i | ||||
\(670\) | −7685.18 | − | 4938.97i | −0.443141 | − | 0.284789i | ||||
\(671\) | −3167.26 | + | 22028.8i | −0.182221 | + | 1.26738i | ||||
\(672\) | 23.1009 | − | 50.5840i | 0.00132610 | − | 0.00290375i | ||||
\(673\) | 3504.57 | + | 24374.8i | 0.200730 | + | 1.39611i | 0.802126 | + | 0.597155i | \(0.203702\pi\) |
−0.601396 | + | 0.798951i | \(0.705389\pi\) | |||||||
\(674\) | −4300.17 | − | 1262.64i | −0.245751 | − | 0.0721591i | ||||
\(675\) | 1398.43 | − | 898.719i | 0.0797418 | − | 0.0512470i | ||||
\(676\) | −209.646 | − | 459.062i | −0.0119280 | − | 0.0261187i | ||||
\(677\) | −3584.08 | + | 1052.38i | −0.203468 | + | 0.0597435i | −0.381878 | − | 0.924213i | \(-0.624723\pi\) |
0.178411 | + | 0.983956i | \(0.442904\pi\) | |||||||
\(678\) | 6713.94 | − | 7748.30i | 0.380306 | − | 0.438896i | ||||
\(679\) | −116.568 | + | 134.526i | −0.00658829 | + | 0.00760329i | ||||
\(680\) | 863.143 | − | 253.442i | 0.0486765 | − | 0.0142927i | ||||
\(681\) | 6393.95 | + | 14000.8i | 0.359790 | + | 0.787830i | ||||
\(682\) | −6303.32 | + | 4050.90i | −0.353910 | + | 0.227444i | ||||
\(683\) | 7210.09 | + | 2117.07i | 0.403933 | + | 0.118605i | 0.477387 | − | 0.878693i | \(-0.341584\pi\) |
−0.0734538 | + | 0.997299i | \(0.523402\pi\) | |||||||
\(684\) | 348.874 | + | 2426.47i | 0.0195023 | + | 0.135641i | ||||
\(685\) | −9345.13 | + | 20463.0i | −0.521254 | + | 1.14139i | ||||
\(686\) | −113.049 | + | 786.275i | −0.00629190 | + | 0.0437611i | ||||
\(687\) | −11162.7 | − | 7173.83i | −0.619917 | − | 0.398397i | ||||
\(688\) | 1134.29 | + | 1309.04i | 0.0628550 | + | 0.0725386i | ||||
\(689\) | −2747.72 | −0.151930 | ||||||||
\(690\) | −4655.76 | − | 2471.45i | −0.256872 | − | 0.136357i | ||||
\(691\) | 19606.9 | 1.07942 | 0.539712 | − | 0.841850i | \(-0.318533\pi\) | ||||
0.539712 | + | 0.841850i | \(0.318533\pi\) | |||||||
\(692\) | −6870.80 | − | 7929.32i | −0.377440 | − | 0.435589i | ||||
\(693\) | −271.151 | − | 174.258i | −0.0148632 | − | 0.00955199i | ||||
\(694\) | −860.603 | + | 5985.62i | −0.0470721 | + | 0.327394i | ||||
\(695\) | 7004.11 | − | 15336.9i | 0.382275 | − | 0.837065i | ||||
\(696\) | −52.1468 | − | 362.689i | −0.00283997 | − | 0.0197524i | ||||
\(697\) | 6614.15 | + | 1942.09i | 0.359439 | + | 0.105541i | ||||
\(698\) | −8341.68 | + | 5360.88i | −0.452346 | + | 0.290705i | ||||
\(699\) | −1351.50 | − | 2959.37i | −0.0731307 | − | 0.160134i | ||||
\(700\) | 136.876 | − | 40.1906i | 0.00739064 | − | 0.00217009i | ||||
\(701\) | −18868.5 | + | 21775.5i | −1.01663 | + | 1.17325i | −0.0318373 | + | 0.999493i | \(0.510136\pi\) |
−0.984789 | + | 0.173756i | \(0.944410\pi\) | |||||||
\(702\) | 1609.22 | − | 1857.14i | 0.0865186 | − | 0.0998478i | ||||
\(703\) | −20719.5 | + | 6083.80i | −1.11160 | + | 0.326394i | ||||
\(704\) | −1643.72 | − | 3599.25i | −0.0879973 | − | 0.192687i | ||||
\(705\) | −3436.63 | + | 2208.59i | −0.183590 | + | 0.117986i | ||||
\(706\) | 10731.6 | + | 3151.07i | 0.572079 | + | 0.167978i | ||||
\(707\) | −129.269 | − | 899.083i | −0.00687645 | − | 0.0478267i | ||||
\(708\) | 1564.88 | − | 3426.60i | 0.0830673 | − | 0.181892i | ||||
\(709\) | −1784.56 | + | 12411.9i | −0.0945282 | + | 0.657458i | 0.886376 | + | 0.462966i | \(0.153215\pi\) |
−0.980904 | + | 0.194492i | \(0.937694\pi\) | |||||||
\(710\) | 6931.95 | + | 4454.89i | 0.366410 | + | 0.235478i | ||||
\(711\) | 54.5591 | + | 62.9645i | 0.00287781 | + | 0.00332117i | ||||
\(712\) | −8047.15 | −0.423567 | ||||||||
\(713\) | −6234.63 | + | 2409.48i | −0.327474 | + | 0.126558i | ||||
\(714\) | 49.0707 | 0.00257202 | ||||||||
\(715\) | −14673.8 | − | 16934.5i | −0.767511 | − | 0.885755i | ||||
\(716\) | −11306.9 | − | 7266.51i | −0.590166 | − | 0.379277i | ||||
\(717\) | −1240.15 | + | 8625.40i | −0.0645943 | + | 0.449263i | ||||
\(718\) | −7208.13 | + | 15783.6i | −0.374659 | + | 0.820388i | ||||
\(719\) | 2335.41 | + | 16243.2i | 0.121135 | + | 0.842514i | 0.956274 | + | 0.292474i | \(0.0944785\pi\) |
−0.835138 | + | 0.550040i | \(0.814612\pi\) | |||||||
\(720\) | −1100.42 | − | 323.114i | −0.0569589 | − | 0.0167246i | ||||
\(721\) | 327.806 | − | 210.668i | 0.0169322 | − | 0.0108817i | ||||
\(722\) | 1846.14 | + | 4042.49i | 0.0951611 | + | 0.208374i | ||||
\(723\) | 11880.3 | − | 3488.38i | 0.611113 | − | 0.179439i | ||||
\(724\) | 1382.25 | − | 1595.20i | 0.0709541 | − | 0.0818854i | ||||
\(725\) | 615.555 | − | 710.388i | 0.0315326 | − | 0.0363905i | ||||
\(726\) | −14342.7 | + | 4211.40i | −0.733206 | + | 0.215289i | ||||
\(727\) | 8970.11 | + | 19641.8i | 0.457611 | + | 1.00203i | 0.988026 | + | 0.154290i | \(0.0493090\pi\) |
−0.530415 | + | 0.847738i | \(0.677964\pi\) | |||||||
\(728\) | 177.405 | − | 114.011i | 0.00903167 | − | 0.00580431i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 2565.18 | + | 17841.2i | 0.130057 | + | 0.904565i | ||||
\(731\) | −634.937 | + | 1390.32i | −0.0321259 | + | 0.0703458i | ||||
\(732\) | −614.750 | + | 4275.68i | −0.0310407 | + | 0.215893i | ||||
\(733\) | −20572.2 | − | 13221.0i | −1.03663 | − | 0.666205i | −0.0924825 | − | 0.995714i | \(-0.529480\pi\) |
−0.944152 | + | 0.329510i | \(0.893117\pi\) | |||||||
\(734\) | −11869.4 | − | 13698.0i | −0.596875 | − | 0.688830i | ||||
\(735\) | 8187.41 | 0.410880 | ||||||||
\(736\) | −790.899 | − | 3439.98i | −0.0396099 | − | 0.172282i | ||||
\(737\) | −35457.4 | −1.77217 | ||||||||
\(738\) | −5755.18 | − | 6641.83i | −0.287061 | − | 0.331286i | ||||
\(739\) | 25630.8 | + | 16471.9i | 1.27584 | + | 0.819931i | 0.990368 | − | 0.138457i | \(-0.0442142\pi\) |
0.285469 | + | 0.958388i | \(0.407851\pi\) | |||||||
\(740\) | 1437.77 | − | 9999.88i | 0.0714234 | − | 0.496761i | ||||
\(741\) | −3861.82 | + | 8456.21i | −0.191454 | + | 0.419226i | ||||
\(742\) | 9.95534 | + | 69.2409i | 0.000492550 | + | 0.00342576i | ||||
\(743\) | −16254.7 | − | 4772.81i | −0.802593 | − | 0.235663i | −0.145389 | − | 0.989375i | \(-0.546443\pi\) |
−0.657205 | + | 0.753712i | \(0.728261\pi\) | |||||||
\(744\) | −1223.45 | + | 786.261i | −0.0602872 | + | 0.0387442i | ||||
\(745\) | 227.569 | + | 498.306i | 0.0111912 | + | 0.0245054i | ||||
\(746\) | 21987.8 | − | 6456.21i | 1.07913 | − | 0.316861i | ||||
\(747\) | 2358.25 | − | 2721.57i | 0.115507 | − | 0.133302i | ||||
\(748\) | 2286.49 | − | 2638.75i | 0.111768 | − | 0.128987i | ||||
\(749\) | −531.342 | + | 156.016i | −0.0259210 | + | 0.00761108i | ||||
\(750\) | −3703.61 | − | 8109.78i | −0.180316 | − | 0.394836i | ||||
\(751\) | 34497.5 | − | 22170.2i | 1.67621 | − | 1.07723i | 0.791371 | − | 0.611337i | \(-0.209368\pi\) |
0.884839 | − | 0.465898i | \(-0.154268\pi\) | |||||||
\(752\) | −2624.77 | − | 770.701i | −0.127281 | − | 0.0373731i | ||||
\(753\) | −3087.45 | − | 21473.7i | −0.149420 | − | 1.03924i | ||||
\(754\) | 577.233 | − | 1263.96i | 0.0278801 | − | 0.0610489i | ||||
\(755\) | 1671.85 | − | 11628.0i | 0.0805891 | − | 0.560510i | ||||
\(756\) | −52.6292 | − | 33.8227i | −0.00253188 | − | 0.00162714i | ||||
\(757\) | −18312.9 | − | 21134.2i | −0.879250 | − | 1.01471i | −0.999758 | − | 0.0219960i | \(-0.992998\pi\) |
0.120508 | − | 0.992712i | \(-0.461548\pi\) | |||||||
\(758\) | −20597.9 | −0.987006 | ||||||||
\(759\) | −20388.0 | + | 1699.93i | −0.975017 | + | 0.0812959i | ||||
\(760\) | 4338.73 | 0.207082 | ||||||||
\(761\) | 17643.7 | + | 20361.9i | 0.840452 | + | 0.969933i | 0.999851 | − | 0.0172811i | \(-0.00550101\pi\) |
−0.159399 | + | 0.987214i | \(0.550956\pi\) | |||||||
\(762\) | −2643.11 | − | 1698.62i | −0.125656 | − | 0.0807541i | ||||
\(763\) | 4.44932 | − | 30.9457i | 0.000211109 | − | 0.00146830i | ||||
\(764\) | 1060.55 | − | 2322.27i | 0.0502215 | − | 0.109970i | ||||
\(765\) | −144.027 | − | 1001.73i | −0.00680693 | − | 0.0473433i | ||||
\(766\) | 1076.79 | + | 316.174i | 0.0507911 | + | 0.0149136i | ||||
\(767\) | 12017.6 | − | 7723.22i | 0.565748 | − | 0.363584i | ||||
\(768\) | −319.039 | − | 698.597i | −0.0149900 | − | 0.0328235i | ||||
\(769\) | 6952.57 | − | 2041.46i | 0.326029 | − | 0.0957307i | −0.114622 | − | 0.993409i | \(-0.536566\pi\) |
0.440651 | + | 0.897678i | \(0.354748\pi\) | |||||||
\(770\) | −373.574 | + | 431.128i | −0.0174840 | + | 0.0201776i | ||||
\(771\) | 4708.94 | − | 5434.41i | 0.219959 | − | 0.253846i | ||||
\(772\) | 11004.5 | − | 3231.22i | 0.513033 | − | 0.150640i | ||||
\(773\) | 13567.7 | + | 29709.1i | 0.631300 | + | 1.38235i | 0.907008 | + | 0.421113i | \(0.138361\pi\) |
−0.275708 | + | 0.961242i | \(0.588912\pi\) | |||||||
\(774\) | 1639.28 | − | 1053.50i | 0.0761275 | − | 0.0489242i | ||||
\(775\) | −3579.64 | − | 1051.08i | −0.165915 | − | 0.0487172i | ||||
\(776\) | 349.859 | + | 2433.32i | 0.0161845 | + | 0.112566i | ||||
\(777\) | 228.929 | − | 501.285i | 0.0105699 | − | 0.0231448i | ||||
\(778\) | −2643.68 | + | 18387.2i | −0.121826 | + | 0.847318i | ||||
\(779\) | 27969.3 | + | 17974.7i | 1.28640 | + | 0.826717i | ||||
\(780\) | −2848.12 | − | 3286.91i | −0.130743 | − | 0.150885i | ||||
\(781\) | 31982.2 | 1.46532 | ||||||||
\(782\) | 2471.27 | − | 1895.83i | 0.113008 | − | 0.0866941i | ||||
\(783\) | −412.221 | −0.0188143 | ||||||||
\(784\) | 3590.36 | + | 4143.50i | 0.163555 | + | 0.188753i | ||||
\(785\) | 12435.5 | + | 7991.80i | 0.565403 | + | 0.363363i | ||||
\(786\) | −197.225 | + | 1371.73i | −0.00895010 | + | 0.0622493i | ||||
\(787\) | 7878.80 | − | 17252.2i | 0.356860 | − | 0.781415i | −0.643019 | − | 0.765851i | \(-0.722318\pi\) |
0.999879 | − | 0.0155644i | \(-0.00495450\pi\) | |||||||
\(788\) | −1373.60 | − | 9553.62i | −0.0620972 | − | 0.431895i | ||||
\(789\) | −19706.2 | − | 5786.26i | −0.889175 | − | 0.261085i | ||||
\(790\) | 124.048 | − | 79.7206i | 0.00558660 | − | 0.00359029i | ||||
\(791\) | −411.183 | − | 900.366i | −0.0184829 | − | 0.0404720i | ||||
\(792\) | −4271.11 | + | 1254.11i | −0.191625 | + | 0.0562663i | ||||
\(793\) | −10727.2 | + | 12379.9i | −0.480373 | + | 0.554380i | ||||
\(794\) | 13951.3 | − | 16100.7i | 0.623569 | − | 0.719637i | ||||
\(795\) | 1384.26 | − | 406.457i | 0.0617545 | − | 0.0181327i | ||||
\(796\) | −3872.80 | − | 8480.24i | −0.172447 | − | 0.377606i | ||||
\(797\) | 32724.7 | − | 21030.9i | 1.45441 | − | 0.934695i | 0.455401 | − | 0.890287i | \(-0.349496\pi\) |
0.999013 | − | 0.0444087i | \(-0.0141404\pi\) | |||||||
\(798\) | 227.083 | + | 66.6777i | 0.0100735 | + | 0.00295785i | ||||
\(799\) | −343.537 | − | 2389.35i | −0.0152109 | − | 0.105794i | ||||
\(800\) | 818.433 | − | 1792.12i | 0.0361700 | − | 0.0792012i | ||||
\(801\) | −1288.38 | + | 8960.90i | −0.0568324 | + | 0.395278i | ||||
\(802\) | 962.524 | + | 618.577i | 0.0423789 | + | 0.0272353i | ||||
\(803\) | 45813.8 | + | 52871.9i | 2.01337 | + | 2.32355i | ||||
\(804\) | −6882.12 | −0.301883 | ||||||||
\(805\) | −403.765 | + | 309.747i | −0.0176781 | + | 0.0135617i | ||||
\(806\) | −5515.04 | −0.241016 | ||||||||
\(807\) | 14504.4 | + | 16738.9i | 0.632687 | + | 0.730160i | ||||
\(808\) | −10553.2 | − | 6782.13i | −0.459480 | − | 0.295290i | ||||
\(809\) | −1045.80 | + | 7273.68i | −0.0454490 | + | 0.316105i | 0.954397 | + | 0.298541i | \(0.0965001\pi\) |
−0.999846 | + | 0.0175637i | \(0.994409\pi\) | |||||||
\(810\) | −535.986 | + | 1173.65i | −0.0232502 | + | 0.0509107i | ||||
\(811\) | −5033.01 | − | 35005.4i | −0.217920 | − | 1.51567i | −0.745698 | − | 0.666284i | \(-0.767884\pi\) |
0.527779 | − | 0.849382i | \(-0.323025\pi\) | |||||||
\(812\) | −33.9425 | − | 9.96643i | −0.00146693 | − | 0.000430730i | ||||
\(813\) | 15161.1 | − | 9743.46i | 0.654027 | − | 0.420317i | ||||
\(814\) | −16289.2 | − | 35668.4i | −0.701396 | − | 1.53584i | ||||
\(815\) | 6692.53 | − | 1965.10i | 0.287643 | − | 0.0844596i | ||||
\(816\) | 443.798 | − | 512.170i | 0.0190392 | − | 0.0219725i | ||||
\(817\) | −4827.47 | + | 5571.19i | −0.206722 | + | 0.238570i | ||||
\(818\) | −3534.79 | + | 1037.91i | −0.151089 | + | 0.0443638i | ||||
\(819\) | −98.5538 | − | 215.803i | −0.00420482 | − | 0.00920727i | ||||
\(820\) | −13085.2 | + | 8409.35i | −0.557263 | + | 0.358131i | ||||
\(821\) | 32948.0 | + | 9674.42i | 1.40060 | + | 0.411254i | 0.892891 | − | 0.450273i | \(-0.148673\pi\) |
0.507712 | + | 0.861527i | \(0.330492\pi\) | |||||||
\(822\) | 2411.84 | + | 16774.7i | 0.102339 | + | 0.711782i | ||||
\(823\) | 19115.7 | − | 41857.5i | 0.809636 | − | 1.77285i | 0.200669 | − | 0.979659i | \(-0.435689\pi\) |
0.608967 | − | 0.793196i | \(-0.291584\pi\) | |||||||
\(824\) | 765.870 | − | 5326.74i | 0.0323790 | − | 0.225201i | ||||
\(825\) | −9606.51 | − | 6173.73i | −0.405401 | − | 0.260535i | ||||
\(826\) | −238.162 | − | 274.853i | −0.0100323 | − | 0.0115779i | ||||
\(827\) | −19003.5 | −0.799052 | −0.399526 | − | 0.916722i | \(-0.630825\pi\) | ||||
−0.399526 | + | 0.916722i | \(0.630825\pi\) | |||||||
\(828\) | −3957.22 | + | 329.949i | −0.166090 | + | 0.0138484i | ||||
\(829\) | 13720.7 | 0.574838 | 0.287419 | − | 0.957805i | \(-0.407203\pi\) | ||||
0.287419 | + | 0.957805i | \(0.407203\pi\) | |||||||
\(830\) | −4173.82 | − | 4816.85i | −0.174549 | − | 0.201440i | ||||
\(831\) | 13451.0 | + | 8644.44i | 0.561504 | + | 0.360857i | ||||
\(832\) | 414.479 | − | 2882.77i | 0.0172710 | − | 0.120123i | ||||
\(833\) | −2009.77 | + | 4400.78i | −0.0835947 | + | 0.183047i | ||||
\(834\) | −1807.66 | − | 12572.5i | −0.0750528 | − | 0.522004i | ||||
\(835\) | −7882.46 | − | 2314.50i | −0.326687 | − | 0.0959240i | ||||
\(836\) | 14166.7 | − | 9104.40i | 0.586084 | − | 0.376653i | ||||
\(837\) | 679.661 | + | 1488.25i | 0.0280675 | + | 0.0614593i | ||||
\(838\) | −6486.60 | + | 1904.64i | −0.267394 | + | 0.0785139i | ||||
\(839\) | 22210.0 | − | 25631.7i | 0.913914 | − | 1.05471i | −0.0843863 | − | 0.996433i | \(-0.526893\pi\) |
0.998300 | − | 0.0582798i | \(-0.0185616\pi\) | |||||||
\(840\) | −72.5091 | + | 83.6799i | −0.00297833 | + | 0.00343718i | ||||
\(841\) | 23177.4 | − | 6805.50i | 0.950323 | − | 0.279040i | ||||
\(842\) | 1316.28 | + | 2882.25i | 0.0538742 | + | 0.117968i | ||||
\(843\) | −13836.2 | + | 8892.00i | −0.565296 | + | 0.363294i | ||||
\(844\) | 7695.30 | + | 2259.54i | 0.313843 | + | 0.0921525i | ||||
\(845\) | 143.005 | + | 994.623i | 0.00582192 | + | 0.0404924i | ||||
\(846\) | −1278.45 | + | 2799.41i | −0.0519551 | + | 0.113766i | ||||
\(847\) | −205.383 | + | 1428.47i | −0.00833180 | + | 0.0579489i | ||||
\(848\) | 812.731 | + | 522.310i | 0.0329119 | + | 0.0211512i | ||||
\(849\) | 8442.97 | + | 9743.71i | 0.341298 | + | 0.393879i | ||||
\(850\) | 1738.50 | 0.0701532 | ||||||||
\(851\) | −7837.77 | − | 34090.1i | −0.315717 | − | 1.37320i | ||||
\(852\) | 6207.60 | 0.249611 | ||||||||
\(853\) | −26327.4 | − | 30383.4i | −1.05678 | − | 1.21959i | −0.974829 | − | 0.222952i | \(-0.928431\pi\) |
−0.0819500 | − | 0.996636i | \(-0.526115\pi\) | |||||||
\(854\) | 350.832 | + | 225.466i | 0.0140577 | + | 0.00903431i | ||||
\(855\) | 694.649 | − | 4831.39i | 0.0277854 | − | 0.193251i | ||||
\(856\) | −3177.08 | + | 6956.84i | −0.126858 | + | 0.277780i | ||||
\(857\) | 752.904 | + | 5236.56i | 0.0300101 | + | 0.208725i | 0.999309 | − | 0.0371590i | \(-0.0118308\pi\) |
−0.969299 | + | 0.245884i | \(0.920922\pi\) | |||||||
\(858\) | −16196.9 | − | 4755.84i | −0.644467 | − | 0.189233i | ||||
\(859\) | 27155.7 | − | 17451.9i | 1.07863 | − | 0.693191i | 0.124386 | − | 0.992234i | \(-0.460304\pi\) |
0.954240 | + | 0.299043i | \(0.0966674\pi\) | |||||||
\(860\) | −1432.69 | − | 3137.15i | −0.0568073 | − | 0.124391i | ||||
\(861\) | −814.098 | + | 239.041i | −0.0322234 | + | 0.00946166i | ||||
\(862\) | 5017.82 | − | 5790.87i | 0.198269 | − | 0.228814i | ||||
\(863\) | 5597.24 | − | 6459.56i | 0.220779 | − | 0.254793i | −0.634545 | − | 0.772886i | \(-0.718813\pi\) |
0.855324 | + | 0.518093i | \(0.173358\pi\) | |||||||
\(864\) | −829.002 | + | 243.417i | −0.0326426 | + | 0.00958474i | ||||
\(865\) | 8678.34 | + | 19002.9i | 0.341124 | + | 0.746958i | ||||
\(866\) | 5318.28 | − | 3417.85i | 0.208687 | − | 0.134115i | ||||
\(867\) | −13568.2 | − | 3983.98i | −0.531487 | − | 0.156059i | ||||
\(868\) | 19.9817 | + | 138.976i | 0.000781363 | + | 0.00543450i | ||||
\(869\) | 237.752 | − | 520.604i | 0.00928099 | − | 0.0203225i | ||||
\(870\) | −103.830 | + | 722.156i | −0.00404618 | + | 0.0281418i | ||||
\(871\) | −21955.4 | − | 14109.9i | −0.854109 | − | 0.548903i | ||||
\(872\) | −282.752 | − | 326.314i | −0.0109807 | − | 0.0126725i | ||||
\(873\) | 2765.64 | 0.107220 | ||||||||
\(874\) | 14012.3 | − | 5415.31i | 0.542305 | − | 0.209583i | ||||
\(875\) | −860.732 | −0.0332549 | ||||||||
\(876\) | 8892.24 | + | 10262.2i | 0.342969 | + | 0.395808i | ||||
\(877\) | −11244.0 | − | 7226.05i | −0.432932 | − | 0.278229i | 0.305970 | − | 0.952041i | \(-0.401019\pi\) |
−0.738902 | + | 0.673813i | \(0.764656\pi\) | |||||||
\(878\) | −1887.85 | + | 13130.3i | −0.0725646 | + | 0.504698i | ||||
\(879\) | 613.633 | − | 1343.67i | 0.0235465 | − | 0.0515595i | ||||
\(880\) | 1121.22 | + | 7798.29i | 0.0429505 | + | 0.298727i | ||||
\(881\) | −5956.58 | − | 1749.01i | −0.227789 | − | 0.0668849i | 0.165846 | − | 0.986152i | \(-0.446964\pi\) |
−0.393635 | + | 0.919267i | \(0.628783\pi\) | |||||||
\(882\) | 5188.82 | − | 3334.65i | 0.198091 | − | 0.127306i | ||||
\(883\) | 16848.7 | + | 36893.5i | 0.642133 | + | 1.40608i | 0.898274 | + | 0.439436i | \(0.144822\pi\) |
−0.256141 | + | 0.966640i | \(0.582451\pi\) | |||||||
\(884\) | 2465.86 | − | 724.043i | 0.0938190 | − | 0.0275477i | ||||
\(885\) | −4911.83 | + | 5668.55i | −0.186564 | + | 0.215306i | ||||
\(886\) | −5158.80 | + | 5953.57i | −0.195613 | + | 0.225750i | ||||
\(887\) | 30330.9 | − | 8905.95i | 1.14815 | − | 0.337128i | 0.348334 | − | 0.937370i | \(-0.386747\pi\) |
0.799818 | + | 0.600242i | \(0.204929\pi\) | |||||||
\(888\) | −3161.66 | − | 6923.07i | −0.119480 | − | 0.261625i | ||||
\(889\) | −255.176 | + | 163.992i | −0.00962692 | + | 0.00618684i | ||||
\(890\) | 15373.8 | + | 4514.15i | 0.579022 | + | 0.170016i | ||||
\(891\) | 712.691 | + | 4956.88i | 0.0267969 | + | 0.186377i | ||||
\(892\) | 6712.74 | − | 14698.9i | 0.251972 | − | 0.551742i | ||||
\(893\) | 1656.90 | − | 11524.0i | 0.0620895 | − | 0.431842i | ||||
\(894\) | 347.178 | + | 223.118i | 0.0129881 | + | 0.00834695i | ||||
\(895\) | 17525.2 | + | 20225.1i | 0.654527 | + | 0.755365i | ||||
\(896\) | −74.1457 | −0.00276455 | ||||||||
\(897\) | −13300.8 | − | 7060.56i | −0.495095 | − | 0.262815i | ||||
\(898\) | 10936.2 | 0.406398 | ||||||||
\(899\) | 605.845 | + | 699.183i | 0.0224762 | + | 0.0259389i | ||||
\(900\) | −1864.58 | − | 1198.29i | −0.0690584 | − | 0.0443812i | ||||
\(901\) | −121.323 | + | 843.823i | −0.00448598 | + | 0.0312007i | ||||
\(902\) | −25079.3 | + | 54916.1i | −0.925777 | + | 2.02717i | ||||
\(903\) | −26.7733 | − | 186.212i | −0.000986665 | − | 0.00686240i | ||||
\(904\) | −13116.2 | − | 3851.27i | −0.482566 | − | 0.141694i | ||||
\(905\) | −3535.57 | + | 2272.17i | −0.129863 | + | 0.0834581i | ||||
\(906\) | −3676.41 | − | 8050.21i | −0.134813 | − | 0.295199i | ||||
\(907\) | −3913.53 | + | 1149.12i | −0.143271 | + | 0.0420681i | −0.352582 | − | 0.935781i | \(-0.614696\pi\) |
0.209311 | + | 0.977849i | \(0.432878\pi\) | |||||||
\(908\) | 13439.2 | − | 15509.7i | 0.491186 | − | 0.566859i | ||||
\(909\) | −9241.84 | + | 10665.7i | −0.337220 | + | 0.389172i | ||||
\(910\) | −402.881 | + | 118.296i | −0.0146762 | + | 0.00430933i | ||||
\(911\) | −14070.2 | − | 30809.4i | −0.511707 | − | 1.12048i | −0.972485 | − | 0.232967i | \(-0.925157\pi\) |
0.460777 | − | 0.887516i | \(-0.347571\pi\) | |||||||
\(912\) | 2749.69 | − | 1767.12i | 0.0998372 | − | 0.0641615i | ||||
\(913\) | −23736.0 | − | 6969.51i | −0.860400 | − | 0.252636i | ||||
\(914\) | 4187.48 | + | 29124.5i | 0.151542 | + | 1.05400i | ||||
\(915\) | 3572.95 | − | 7823.66i | 0.129091 | − | 0.282669i | ||||
\(916\) | −2517.86 | + | 17512.1i | −0.0908213 | + | 0.631676i | ||||
\(917\) | 112.555 | + | 72.3344i | 0.00405330 | + | 0.00260490i | ||||
\(918\) | −499.272 | − | 576.191i | −0.0179504 | − | 0.0207158i | ||||
\(919\) | −33069.6 | −1.18701 | −0.593507 | − | 0.804829i | \(-0.702257\pi\) | ||||
−0.593507 | + | 0.804829i | \(0.702257\pi\) | |||||||
\(920\) | −418.719 | + | 7015.61i | −0.0150052 | + | 0.251411i | ||||
\(921\) | 9778.32 | 0.349844 | ||||||||
\(922\) | −11924.7 | − | 13761.9i | −0.425944 | − | 0.491566i | ||||
\(923\) | 19803.5 | + | 12726.9i | 0.706219 | + | 0.453859i | ||||
\(924\) | −61.1609 | + | 425.383i | −0.00217754 | + | 0.0151451i | ||||
\(925\) | 8110.64 | − | 17759.8i | 0.288298 | − | 0.631286i | ||||
\(926\) | −4146.83 | − | 28841.8i | −0.147163 | − | 1.02354i | ||||
\(927\) | −5808.97 | − | 1705.67i | −0.205816 | − | 0.0604331i | ||||
\(928\) | −411.002 | + | 264.135i | −0.0145386 | + | 0.00934337i | ||||
\(929\) | 13396.6 | + | 29334.5i | 0.473121 | + | 1.03599i | 0.984298 | + | 0.176515i | \(0.0564824\pi\) |
−0.511177 | + | 0.859475i | \(0.670790\pi\) | |||||||
\(930\) | 2778.41 | − | 815.813i | 0.0979650 | − | 0.0287651i | ||||
\(931\) | −15280.4 | + | 17634.5i | −0.537910 | + | 0.620782i | ||||
\(932\) | −2840.67 | + | 3278.31i | −0.0998384 | + | 0.115220i | ||||
\(933\) | −28659.5 | + | 8415.18i | −1.00565 | + | 0.295285i | ||||
\(934\) | 9185.72 | + | 20113.9i | 0.321805 | + | 0.704655i | ||||
\(935\) | −5848.49 | + | 3758.60i | −0.204563 | + | 0.131465i | ||||
\(936\) | −3143.74 | − | 923.086i | −0.109782 | − | 0.0322350i | ||||
\(937\) | 4750.12 | + | 33037.8i | 0.165613 | + | 1.15186i | 0.887821 | + | 0.460189i | \(0.152218\pi\) |
−0.722208 | + | 0.691676i | \(0.756873\pi\) | |||||||
\(938\) | −276.013 | + | 604.384i | −0.00960782 | + | 0.0210382i | ||||
\(939\) | 4387.75 | − | 30517.5i | 0.152491 | − | 1.06060i | ||||
\(940\) | 4582.18 | + | 2944.79i | 0.158994 | + | 0.102179i | ||||
\(941\) | −21866.6 | − | 25235.4i | −0.757525 | − | 0.874231i | 0.237750 | − | 0.971326i | \(-0.423590\pi\) |
−0.995275 | + | 0.0970957i | \(0.969045\pi\) | |||||||
\(942\) | 11136.0 | 0.385172 | ||||||||
\(943\) | −31764.0 | + | 43490.9i | −1.09690 | + | 1.50186i | ||||
\(944\) | −5022.69 | −0.173172 | ||||||||
\(945\) | 81.5727 | + | 94.1399i | 0.00280800 | + | 0.00324060i | ||||
\(946\) | −11261.0 | − | 7237.01i | −0.387026 | − | 0.248727i | ||||
\(947\) | −516.601 | + | 3593.04i | −0.0177268 | + | 0.123292i | −0.996763 | − | 0.0803923i | \(-0.974383\pi\) |
0.979037 | + | 0.203685i | \(0.0652918\pi\) | |||||||
\(948\) | 46.1465 | − | 101.047i | 0.00158098 | − | 0.00346186i | ||||
\(949\) | 7328.31 | + | 50969.5i | 0.250671 | + | 1.74346i | ||||
\(950\) | 8045.24 | + | 2362.30i | 0.274760 | + | 0.0806769i | ||||
\(951\) | −15164.0 | + | 9745.31i | −0.517062 | + | 0.332296i | ||||
\(952\) | −27.1796 | − | 59.5150i | −0.000925310 | − | 0.00202615i | ||||
\(953\) | 13837.0 | − | 4062.91i | 0.470330 | − | 0.138101i | −0.0379744 | − | 0.999279i | \(-0.512091\pi\) |
0.508305 | + | 0.861177i | \(0.330272\pi\) | |||||||
\(954\) | 711.740 | − | 821.392i | 0.0241545 | − | 0.0278758i | ||||
\(955\) | −3328.84 | + | 3841.68i | −0.112794 | + | 0.130172i | ||||
\(956\) | 11148.2 | − | 3273.39i | 0.377152 | − | 0.110742i | ||||
\(957\) | 1176.35 | + | 2575.85i | 0.0397346 | + | 0.0870065i | ||||
\(958\) | −10704.3 | + | 6879.23i | −0.361002 | + | 0.232002i | ||||
\(959\) | 1569.87 | + | 460.956i | 0.0528612 | + | 0.0155214i | ||||
\(960\) | 217.624 | + | 1513.61i | 0.00731645 | + | 0.0508871i | ||||
\(961\) | −10850.3 | + | 23758.8i | −0.364213 | + | 0.797514i | ||||
\(962\) | 4107.47 | − | 28568.1i | 0.137661 | − | 0.957455i | ||||
\(963\) | 7238.12 | + | 4651.66i | 0.242207 | + | 0.155657i | ||||
\(964\) | −10811.2 | − | 12476.8i | −0.361210 | − | 0.416858i | ||||
\(965\) | −22836.3 | −0.761789 | ||||||||
\(966\) | −129.731 | + | 360.753i | −0.00432095 | + | 0.0120156i | ||||
\(967\) | −55472.9 | −1.84476 | −0.922382 | − | 0.386279i | \(-0.873760\pi\) | ||||
−0.922382 | + | 0.386279i | \(0.873760\pi\) | |||||||
\(968\) | 13052.0 | + | 15062.8i | 0.433375 | + | 0.500141i | ||||
\(969\) | 2426.38 | + | 1559.34i | 0.0804403 | + | 0.0516958i | ||||
\(970\) | 696.609 | − | 4845.02i | 0.0230585 | − | 0.160375i | ||||
\(971\) | −4426.99 | + | 9693.75i | −0.146312 | + | 0.320378i | −0.968572 | − | 0.248734i | \(-0.919986\pi\) |
0.822260 | + | 0.569112i | \(0.192713\pi\) | |||||||
\(972\) | 138.330 | + | 962.106i | 0.00456475 | + | 0.0317485i | ||||
\(973\) | −1176.61 | − | 345.484i | −0.0387671 | − | 0.0113830i | ||||
\(974\) | 1130.67 | − | 726.635i | 0.0371960 | − | 0.0239044i | ||||
\(975\) | −3491.62 | − | 7645.58i | −0.114689 | − | 0.251133i | ||||
\(976\) | 5526.23 | − | 1622.65i | 0.181240 | − | 0.0532169i | ||||
\(977\) | −11182.9 | + | 12905.7i | −0.366194 | + | 0.422610i | −0.908705 | − | 0.417438i | \(-0.862928\pi\) |
0.542512 | + | 0.840048i | \(0.317473\pi\) | |||||||
\(978\) | 3441.06 | − | 3971.20i | 0.112508 | − | 0.129841i | ||||
\(979\) | 59670.6 | − | 17520.9i | 1.94799 | − | 0.571981i | ||||
\(980\) | −4534.90 | − | 9930.04i | −0.147818 | − | 0.323677i | ||||
\(981\) | −408.636 | + | 262.615i | −0.0132994 | + | 0.00854703i | ||||
\(982\) | 27715.6 | + | 8138.03i | 0.900651 | + | 0.264455i | ||||
\(983\) | 2583.94 | + | 17971.7i | 0.0838401 | + | 0.583120i | 0.987827 | + | 0.155559i | \(0.0497180\pi\) |
−0.903986 | + | 0.427561i | \(0.859373\pi\) | |||||||
\(984\) | −4867.78 | + | 10659.0i | −0.157702 | + | 0.345320i | ||||
\(985\) | −2735.00 | + | 19022.3i | −0.0884714 | + | 0.615332i | ||||
\(986\) | −362.675 | − | 233.077i | −0.0117139 | − | 0.00752809i | ||||
\(987\) | 194.570 | + | 224.545i | 0.00627479 | + | 0.00724150i | ||||
\(988\) | 12395.1 | 0.399129 | ||||||||
\(989\) | −8542.59 | − | 8343.55i | −0.274660 | − | 0.268260i | ||||
\(990\) | 8863.29 | 0.284539 | ||||||||
\(991\) | −19455.8 | − | 22453.2i | −0.623646 | − | 0.719726i | 0.352749 | − | 0.935718i | \(-0.385247\pi\) |
−0.976395 | + | 0.215992i | \(0.930701\pi\) | |||||||
\(992\) | 1631.26 | + | 1048.35i | 0.0522102 | + | 0.0335535i | ||||
\(993\) | 3109.30 | − | 21625.6i | 0.0993661 | − | 0.691107i | ||||
\(994\) | 248.961 | − | 545.147i | 0.00794421 | − | 0.0173954i | ||||
\(995\) | 2641.73 | + | 18373.7i | 0.0841694 | + | 0.585411i | ||||
\(996\) | −4607.04 | − | 1352.75i | −0.146566 | − | 0.0430356i | ||||
\(997\) | −15998.8 | + | 10281.8i | −0.508212 | + | 0.326608i | −0.769494 | − | 0.638654i | \(-0.779491\pi\) |
0.261281 | + | 0.965263i | \(0.415855\pi\) | |||||||
\(998\) | −9685.89 | − | 21209.1i | −0.307216 | − | 0.672709i | ||||
\(999\) | −8215.37 | + | 2412.25i | −0.260183 | + | 0.0763966i |
(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 | 138.4.e.d.13.3 | ✓ | 30 | |
23.16 | even | 11 | inner | 138.4.e.d.85.3 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.4.e.d.13.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
138.4.e.d.85.3 | yes | 30 | 23.16 | even | 11 | inner |