Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), 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: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 29.19 |
Dual form | 29.3.f.a.26.1 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.63282 | − | 2.59861i | −0.816409 | − | 1.29931i | −0.951244 | − | 0.308439i | \(-0.900193\pi\) |
0.134835 | − | 0.990868i | \(-0.456950\pi\) | |||||||
\(3\) | 0.532023 | − | 1.52043i | 0.177341 | − | 0.506811i | −0.820561 | − | 0.571559i | \(-0.806339\pi\) |
0.997902 | + | 0.0647482i | \(0.0206244\pi\) | |||||||
\(4\) | −2.35117 | + | 4.88225i | −0.587792 | + | 1.22056i | ||||
\(5\) | −4.43970 | − | 1.01333i | −0.887940 | − | 0.202667i | −0.245861 | − | 0.969305i | \(-0.579071\pi\) |
−0.642079 | + | 0.766638i | \(0.721928\pi\) | |||||||
\(6\) | −4.81972 | + | 1.10007i | −0.803286 | + | 0.183345i | ||||
\(7\) | 10.7635 | − | 5.18344i | 1.53765 | − | 0.740491i | 0.542607 | − | 0.839986i | \(-0.317437\pi\) |
0.995038 | + | 0.0994954i | \(0.0317229\pi\) | |||||||
\(8\) | 4.32723 | − | 0.487562i | 0.540904 | − | 0.0609452i | ||||
\(9\) | 5.00781 | + | 3.99360i | 0.556424 | + | 0.443733i | ||||
\(10\) | 4.61596 | + | 13.1917i | 0.461596 | + | 1.31917i | ||||
\(11\) | 2.90150 | + | 0.326920i | 0.263772 | + | 0.0297200i | 0.242860 | − | 0.970061i | \(-0.421914\pi\) |
0.0209122 | + | 0.999781i | \(0.493343\pi\) | |||||||
\(12\) | 6.17226 | + | 6.17226i | 0.514355 | + | 0.514355i | ||||
\(13\) | 2.24911 | − | 1.79360i | 0.173008 | − | 0.137969i | −0.533158 | − | 0.846016i | \(-0.678995\pi\) |
0.706166 | + | 0.708046i | \(0.250423\pi\) | |||||||
\(14\) | −31.0446 | − | 19.5066i | −2.21747 | − | 1.39333i | ||||
\(15\) | −3.90273 | + | 6.21115i | −0.260182 | + | 0.414077i | ||||
\(16\) | 5.18193 | + | 6.49794i | 0.323871 | + | 0.406121i | ||||
\(17\) | 2.44971 | − | 2.44971i | 0.144101 | − | 0.144101i | −0.631376 | − | 0.775477i | \(-0.717510\pi\) |
0.775477 | + | 0.631376i | \(0.217510\pi\) | |||||||
\(18\) | 2.20098 | − | 19.5342i | 0.122276 | − | 1.08523i | ||||
\(19\) | −31.9711 | + | 11.1872i | −1.68269 | + | 0.588799i | −0.991056 | − | 0.133450i | \(-0.957395\pi\) |
−0.691634 | + | 0.722248i | \(0.743109\pi\) | |||||||
\(20\) | 15.3858 | − | 19.2932i | 0.769292 | − | 0.964662i | ||||
\(21\) | −2.15463 | − | 19.1229i | −0.102602 | − | 0.910615i | ||||
\(22\) | −3.88808 | − | 8.07367i | −0.176731 | − | 0.366985i | ||||
\(23\) | 9.24886 | + | 40.5219i | 0.402124 | + | 1.76182i | 0.618771 | + | 0.785571i | \(0.287631\pi\) |
−0.216647 | + | 0.976250i | \(0.569512\pi\) | |||||||
\(24\) | 1.56088 | − | 6.83866i | 0.0650366 | − | 0.284944i | ||||
\(25\) | −3.84011 | − | 1.84930i | −0.153604 | − | 0.0739720i | ||||
\(26\) | −8.33326 | − | 2.91593i | −0.320510 | − | 0.112151i | ||||
\(27\) | 21.0116 | − | 13.2025i | 0.778208 | − | 0.488980i | ||||
\(28\) | 64.7374i | 2.31205i | ||||||||
\(29\) | 18.6826 | − | 22.1802i | 0.644226 | − | 0.764835i | ||||
\(30\) | 22.5128 | 0.750428 | ||||||||
\(31\) | 7.40308 | + | 11.7819i | 0.238809 | + | 0.380063i | 0.944529 | − | 0.328429i | \(-0.106519\pi\) |
−0.705720 | + | 0.708491i | \(0.749376\pi\) | |||||||
\(32\) | 14.1774 | − | 40.5168i | 0.443045 | − | 1.26615i | ||||
\(33\) | 2.04072 | − | 4.23760i | 0.0618400 | − | 0.128412i | ||||
\(34\) | −10.3658 | − | 2.36592i | −0.304876 | − | 0.0695860i | ||||
\(35\) | −53.0394 | + | 12.1059i | −1.51541 | + | 0.345883i | ||||
\(36\) | −31.2720 | + | 15.0598i | −0.868666 | + | 0.418328i | ||||
\(37\) | −19.6990 | + | 2.21954i | −0.532405 | + | 0.0599876i | −0.374075 | − | 0.927399i | \(-0.622040\pi\) |
−0.158330 | + | 0.987386i | \(0.550611\pi\) | |||||||
\(38\) | 81.2741 | + | 64.8140i | 2.13879 | + | 1.70563i | ||||
\(39\) | −1.53048 | − | 4.37385i | −0.0392430 | − | 0.112150i | ||||
\(40\) | −19.7057 | − | 2.22030i | −0.492642 | − | 0.0555074i | ||||
\(41\) | −15.2314 | − | 15.2314i | −0.371497 | − | 0.371497i | 0.496526 | − | 0.868022i | \(-0.334609\pi\) |
−0.868022 | + | 0.496526i | \(0.834609\pi\) | |||||||
\(42\) | −46.1750 | + | 36.8233i | −1.09940 | + | 0.876745i | ||||
\(43\) | 1.58568 | + | 0.996350i | 0.0368763 | + | 0.0231709i | 0.550344 | − | 0.834938i | \(-0.314497\pi\) |
−0.513468 | + | 0.858109i | \(0.671639\pi\) | |||||||
\(44\) | −8.41802 | + | 13.3972i | −0.191319 | + | 0.304482i | ||||
\(45\) | −18.1864 | − | 22.8050i | −0.404141 | − | 0.506777i | ||||
\(46\) | 90.1991 | − | 90.1991i | 1.96085 | − | 1.96085i | ||||
\(47\) | −0.858173 | + | 7.61650i | −0.0182590 | + | 0.162053i | −0.999533 | − | 0.0305651i | \(-0.990269\pi\) |
0.981274 | + | 0.192618i | \(0.0616979\pi\) | |||||||
\(48\) | 12.6366 | − | 4.42173i | 0.263262 | − | 0.0921195i | ||||
\(49\) | 58.4343 | − | 73.2743i | 1.19254 | − | 1.49539i | ||||
\(50\) | 1.46458 | + | 12.9985i | 0.0292917 | + | 0.259971i | ||||
\(51\) | −2.42132 | − | 5.02792i | −0.0474769 | − | 0.0985867i | ||||
\(52\) | 3.46879 | + | 15.1978i | 0.0667075 | + | 0.292265i | ||||
\(53\) | −7.13045 | + | 31.2406i | −0.134537 | + | 0.589445i | 0.862045 | + | 0.506832i | \(0.169184\pi\) |
−0.996582 | + | 0.0826126i | \(0.973674\pi\) | |||||||
\(54\) | −68.6163 | − | 33.0438i | −1.27067 | − | 0.611923i | ||||
\(55\) | −12.5505 | − | 4.39161i | −0.228191 | − | 0.0798475i | ||||
\(56\) | 44.0490 | − | 27.6778i | 0.786589 | − | 0.494246i | ||||
\(57\) | 54.5618i | 0.957224i | ||||||||
\(58\) | −88.1430 | − | 12.3325i | −1.51971 | − | 0.212630i | ||||
\(59\) | −9.47914 | −0.160663 | −0.0803317 | − | 0.996768i | \(-0.525598\pi\) | ||||
−0.0803317 | + | 0.996768i | \(0.525598\pi\) | |||||||
\(60\) | −21.1485 | − | 33.6576i | −0.352474 | − | 0.560960i | ||||
\(61\) | −19.5711 | + | 55.9310i | −0.320838 | + | 0.916902i | 0.664650 | + | 0.747155i | \(0.268581\pi\) |
−0.985488 | + | 0.169747i | \(0.945705\pi\) | |||||||
\(62\) | 18.5288 | − | 38.4755i | 0.298852 | − | 0.620573i | ||||
\(63\) | 74.6023 | + | 17.0275i | 1.18416 | + | 0.270277i | ||||
\(64\) | −96.0255 | + | 21.9172i | −1.50040 | + | 0.342456i | ||||
\(65\) | −11.8029 | + | 5.68397i | −0.181583 | + | 0.0874457i | ||||
\(66\) | −14.3440 | + | 1.61618i | −0.217334 | + | 0.0244876i | ||||
\(67\) | −45.3801 | − | 36.1895i | −0.677315 | − | 0.540141i | 0.223304 | − | 0.974749i | \(-0.428316\pi\) |
−0.900620 | + | 0.434608i | \(0.856887\pi\) | |||||||
\(68\) | 6.20042 | + | 17.7198i | 0.0911827 | + | 0.260585i | ||||
\(69\) | 66.5314 | + | 7.49629i | 0.964223 | + | 0.108642i | ||||
\(70\) | 118.062 | + | 118.062i | 1.68660 | + | 1.68660i | ||||
\(71\) | −61.2373 | + | 48.8352i | −0.862498 | + | 0.687819i | −0.951312 | − | 0.308229i | \(-0.900264\pi\) |
0.0888143 | + | 0.996048i | \(0.471692\pi\) | |||||||
\(72\) | 23.6171 | + | 14.8396i | 0.328015 | + | 0.206106i | ||||
\(73\) | 40.7753 | − | 64.8935i | 0.558566 | − | 0.888952i | −0.441399 | − | 0.897311i | \(-0.645518\pi\) |
0.999965 | + | 0.00835868i | \(0.00266068\pi\) | |||||||
\(74\) | 37.9326 | + | 47.5659i | 0.512602 | + | 0.642783i | ||||
\(75\) | −4.85476 | + | 4.85476i | −0.0647301 | + | 0.0647301i | ||||
\(76\) | 20.5509 | − | 182.394i | 0.270406 | − | 2.39992i | ||||
\(77\) | 32.9249 | − | 11.5209i | 0.427596 | − | 0.149622i | ||||
\(78\) | −8.86697 | + | 11.1188i | −0.113679 | + | 0.142549i | ||||
\(79\) | 10.0312 | + | 89.0291i | 0.126977 | + | 1.12695i | 0.881999 | + | 0.471252i | \(0.156198\pi\) |
−0.755022 | + | 0.655700i | \(0.772374\pi\) | |||||||
\(80\) | −16.4217 | − | 34.0999i | −0.205271 | − | 0.426249i | ||||
\(81\) | 3.93287 | + | 17.2310i | 0.0485539 | + | 0.212729i | ||||
\(82\) | −14.7104 | + | 64.4505i | −0.179395 | + | 0.785981i | ||||
\(83\) | 42.5654 | + | 20.4984i | 0.512836 | + | 0.246969i | 0.672359 | − | 0.740225i | \(-0.265281\pi\) |
−0.159523 | + | 0.987194i | \(0.550996\pi\) | |||||||
\(84\) | 98.4288 | + | 34.4417i | 1.17177 | + | 0.410021i | ||||
\(85\) | −13.3584 | + | 8.39361i | −0.157157 | + | 0.0987484i | ||||
\(86\) | − | 5.74743i | − | 0.0668306i | ||||||
\(87\) | −23.7840 | − | 40.2060i | −0.273379 | − | 0.462137i | ||||
\(88\) | 12.7148 | 0.144487 | ||||||||
\(89\) | −31.5692 | − | 50.2421i | −0.354710 | − | 0.564518i | 0.620938 | − | 0.783860i | \(-0.286752\pi\) |
−0.975648 | + | 0.219342i | \(0.929609\pi\) | |||||||
\(90\) | −29.5663 | + | 84.4957i | −0.328515 | + | 0.938841i | ||||
\(91\) | 14.9113 | − | 30.9636i | 0.163860 | − | 0.340259i | ||||
\(92\) | −219.584 | − | 50.1186i | −2.38678 | − | 0.544767i | ||||
\(93\) | 21.8523 | − | 4.98764i | 0.234971 | − | 0.0536305i | ||||
\(94\) | 21.1936 | − | 10.2063i | 0.225464 | − | 0.108578i | ||||
\(95\) | 153.279 | − | 17.2703i | 1.61346 | − | 0.181793i | ||||
\(96\) | −54.0603 | − | 43.1117i | −0.563128 | − | 0.449080i | ||||
\(97\) | −41.8847 | − | 119.700i | −0.431802 | − | 1.23402i | −0.930195 | − | 0.367067i | \(-0.880362\pi\) |
0.498393 | − | 0.866951i | \(-0.333924\pi\) | |||||||
\(98\) | −285.824 | − | 32.2047i | −2.91657 | − | 0.328619i | ||||
\(99\) | 13.2246 | + | 13.2246i | 0.133581 | + | 0.133581i | ||||
\(100\) | 18.0575 | − | 14.4004i | 0.180575 | − | 0.144004i | ||||
\(101\) | −59.5271 | − | 37.4034i | −0.589377 | − | 0.370330i | 0.204082 | − | 0.978954i | \(-0.434579\pi\) |
−0.793459 | + | 0.608623i | \(0.791722\pi\) | |||||||
\(102\) | −9.11206 | + | 14.5018i | −0.0893339 | + | 0.142174i | ||||
\(103\) | −54.4757 | − | 68.3104i | −0.528891 | − | 0.663208i | 0.443580 | − | 0.896235i | \(-0.353708\pi\) |
−0.972470 | + | 0.233027i | \(0.925137\pi\) | |||||||
\(104\) | 8.85791 | − | 8.85791i | 0.0851722 | − | 0.0851722i | ||||
\(105\) | −9.81194 | + | 87.0834i | −0.0934471 | + | 0.829366i | ||||
\(106\) | 92.8249 | − | 32.4808i | 0.875707 | − | 0.306423i | ||||
\(107\) | 24.4898 | − | 30.7092i | 0.228877 | − | 0.287002i | −0.654111 | − | 0.756399i | \(-0.726957\pi\) |
0.882987 | + | 0.469397i | \(0.155529\pi\) | |||||||
\(108\) | 15.0559 | + | 133.625i | 0.139407 | + | 1.23727i | ||||
\(109\) | 48.7351 | + | 101.200i | 0.447111 | + | 0.928436i | 0.995726 | + | 0.0923607i | \(0.0294413\pi\) |
−0.548614 | + | 0.836076i | \(0.684844\pi\) | |||||||
\(110\) | 9.08058 | + | 39.7846i | 0.0825507 | + | 0.361678i | ||||
\(111\) | −7.10564 | + | 31.1318i | −0.0640147 | + | 0.280467i | ||||
\(112\) | 89.4575 | + | 43.0805i | 0.798728 | + | 0.384647i | ||||
\(113\) | −32.7521 | − | 11.4605i | −0.289842 | − | 0.101420i | 0.181442 | − | 0.983402i | \(-0.441924\pi\) |
−0.471284 | + | 0.881982i | \(0.656209\pi\) | |||||||
\(114\) | 141.785 | − | 89.0894i | 1.24373 | − | 0.781486i | ||||
\(115\) | − | 189.277i | − | 1.64589i | ||||||
\(116\) | 64.3635 | + | 143.362i | 0.554858 | + | 1.23588i | ||||
\(117\) | 18.4260 | 0.157488 | ||||||||
\(118\) | 15.4777 | + | 24.6326i | 0.131167 | + | 0.208751i | ||||
\(119\) | 13.6696 | − | 39.0654i | 0.114870 | − | 0.328281i | ||||
\(120\) | −13.8597 | + | 28.7799i | −0.115497 | + | 0.239833i | ||||
\(121\) | −109.654 | − | 25.0279i | −0.906235 | − | 0.206842i | ||||
\(122\) | 177.299 | − | 40.4674i | 1.45327 | − | 0.331700i | ||||
\(123\) | −31.2617 | + | 15.0548i | −0.254160 | + | 0.122397i | ||||
\(124\) | −74.9283 | + | 8.44239i | −0.604261 | + | 0.0680838i | ||||
\(125\) | 104.184 | + | 83.0841i | 0.833473 | + | 0.664672i | ||||
\(126\) | −77.5641 | − | 221.665i | −0.615588 | − | 1.75925i | ||||
\(127\) | 159.395 | + | 17.9595i | 1.25508 | + | 0.141413i | 0.714353 | − | 0.699786i | \(-0.246721\pi\) |
0.540725 | + | 0.841199i | \(0.318150\pi\) | |||||||
\(128\) | 92.3344 | + | 92.3344i | 0.721363 | + | 0.721363i | ||||
\(129\) | 2.35850 | − | 1.88084i | 0.0182830 | − | 0.0145802i | ||||
\(130\) | 34.0424 | + | 21.3903i | 0.261865 | + | 0.164540i | ||||
\(131\) | −81.0335 | + | 128.964i | −0.618577 | + | 0.984459i | 0.379662 | + | 0.925125i | \(0.376040\pi\) |
−0.998238 | + | 0.0593336i | \(0.981102\pi\) | |||||||
\(132\) | 15.8910 | + | 19.9266i | 0.120386 | + | 0.150959i | ||||
\(133\) | −286.134 | + | 286.134i | −2.15138 | + | 2.15138i | ||||
\(134\) | −19.9449 | + | 177.016i | −0.148843 | + | 1.32102i | ||||
\(135\) | −106.664 | + | 37.3233i | −0.790102 | + | 0.276469i | ||||
\(136\) | 9.40608 | − | 11.7948i | 0.0691623 | − | 0.0867268i | ||||
\(137\) | 6.05776 | + | 53.7641i | 0.0442172 | + | 0.392439i | 0.996255 | + | 0.0864595i | \(0.0275553\pi\) |
−0.952038 | + | 0.305979i | \(0.901016\pi\) | |||||||
\(138\) | −89.1537 | − | 185.130i | −0.646041 | − | 1.34152i | ||||
\(139\) | −10.2366 | − | 44.8495i | −0.0736447 | − | 0.322658i | 0.924665 | − | 0.380782i | \(-0.124345\pi\) |
−0.998309 | + | 0.0581239i | \(0.981488\pi\) | |||||||
\(140\) | 65.6005 | − | 287.415i | 0.468575 | − | 2.05296i | ||||
\(141\) | 11.1238 | + | 5.35694i | 0.0788923 | + | 0.0379925i | ||||
\(142\) | 226.893 | + | 79.3934i | 1.59784 | + | 0.559108i | ||||
\(143\) | 7.11214 | − | 4.46885i | 0.0497352 | − | 0.0312507i | ||||
\(144\) | 53.2350i | 0.369688i | ||||||||
\(145\) | −105.421 | + | 79.5419i | −0.727041 | + | 0.548565i | ||||
\(146\) | −235.212 | −1.61104 | ||||||||
\(147\) | −80.3203 | − | 127.829i | −0.546397 | − | 0.869585i | ||||
\(148\) | 35.4793 | − | 101.394i | 0.239725 | − | 0.685094i | ||||
\(149\) | 99.1793 | − | 205.948i | 0.665633 | − | 1.38220i | −0.245219 | − | 0.969468i | \(-0.578860\pi\) |
0.910852 | − | 0.412734i | \(-0.135426\pi\) | |||||||
\(150\) | 20.5426 | + | 4.68871i | 0.136951 | + | 0.0312581i | ||||
\(151\) | 82.0279 | − | 18.7223i | 0.543231 | − | 0.123989i | 0.0579049 | − | 0.998322i | \(-0.481558\pi\) |
0.485326 | + | 0.874333i | \(0.338701\pi\) | |||||||
\(152\) | −132.892 | + | 63.9973i | −0.874289 | + | 0.421035i | ||||
\(153\) | 22.0509 | − | 2.48454i | 0.144123 | − | 0.0162388i | ||||
\(154\) | −83.6987 | − | 66.7475i | −0.543498 | − | 0.433425i | ||||
\(155\) | −20.9285 | − | 59.8101i | −0.135022 | − | 0.385872i | ||||
\(156\) | 24.9527 | + | 2.81149i | 0.159953 | + | 0.0180224i | ||||
\(157\) | −137.989 | − | 137.989i | −0.878912 | − | 0.878912i | 0.114510 | − | 0.993422i | \(-0.463470\pi\) |
−0.993422 | + | 0.114510i | \(0.963470\pi\) | |||||||
\(158\) | 214.973 | − | 171.436i | 1.36059 | − | 1.08503i | ||||
\(159\) | 43.7056 | + | 27.4621i | 0.274878 | + | 0.172717i | ||||
\(160\) | −104.001 | + | 165.516i | −0.650004 | + | 1.03447i | ||||
\(161\) | 309.593 | + | 388.217i | 1.92294 | + | 2.41129i | ||||
\(162\) | 38.3551 | − | 38.3551i | 0.236760 | − | 0.236760i | ||||
\(163\) | 4.35863 | − | 38.6839i | 0.0267401 | − | 0.237325i | −0.973232 | − | 0.229826i | \(-0.926184\pi\) |
0.999972 | − | 0.00749896i | \(-0.00238702\pi\) | |||||||
\(164\) | 110.175 | − | 38.5519i | 0.671798 | − | 0.235072i | ||||
\(165\) | −13.3543 | + | 16.7458i | −0.0809351 | + | 0.101489i | ||||
\(166\) | −16.2341 | − | 144.081i | −0.0977955 | − | 0.867959i | ||||
\(167\) | −8.15009 | − | 16.9238i | −0.0488029 | − | 0.101340i | 0.875141 | − | 0.483867i | \(-0.160768\pi\) |
−0.923944 | + | 0.382527i | \(0.875054\pi\) | |||||||
\(168\) | −18.6472 | − | 81.6987i | −0.110995 | − | 0.486302i | ||||
\(169\) | −35.7646 | + | 156.695i | −0.211625 | + | 0.927188i | ||||
\(170\) | 43.6235 | + | 21.0080i | 0.256609 | + | 0.123576i | ||||
\(171\) | −204.782 | − | 71.6565i | −1.19756 | − | 0.419044i | ||||
\(172\) | −8.59264 | + | 5.39911i | −0.0499572 | + | 0.0313902i | ||||
\(173\) | − | 216.808i | − | 1.25322i | −0.779332 | − | 0.626612i | \(-0.784441\pi\) | ||
0.779332 | − | 0.626612i | \(-0.215559\pi\) | |||||||
\(174\) | −65.6449 | + | 127.454i | −0.377269 | + | 0.732497i | ||||
\(175\) | −50.9188 | −0.290965 | ||||||||
\(176\) | 12.9111 | + | 20.5478i | 0.0733583 | + | 0.116749i | ||||
\(177\) | −5.04312 | + | 14.4124i | −0.0284922 | + | 0.0814260i | ||||
\(178\) | −79.0131 | + | 164.072i | −0.443894 | + | 0.921755i | ||||
\(179\) | −64.5460 | − | 14.7322i | −0.360592 | − | 0.0823028i | 0.0383867 | − | 0.999263i | \(-0.487778\pi\) |
−0.398979 | + | 0.916960i | \(0.630635\pi\) | |||||||
\(180\) | 154.099 | − | 35.1721i | 0.856105 | − | 0.195400i | ||||
\(181\) | −31.6029 | + | 15.2191i | −0.174602 | + | 0.0840837i | −0.519143 | − | 0.854687i | \(-0.673749\pi\) |
0.344541 | + | 0.938771i | \(0.388034\pi\) | |||||||
\(182\) | −104.810 | + | 11.8092i | −0.575878 | + | 0.0648859i | ||||
\(183\) | 74.6271 | + | 59.5131i | 0.407798 | + | 0.325208i | ||||
\(184\) | 59.7788 | + | 170.838i | 0.324885 | + | 0.928468i | ||||
\(185\) | 89.7067 | + | 10.1075i | 0.484901 | + | 0.0546353i | ||||
\(186\) | −48.6417 | − | 48.6417i | −0.261515 | − | 0.261515i | ||||
\(187\) | 7.90869 | − | 6.30697i | 0.0422924 | − | 0.0337271i | ||||
\(188\) | −35.1680 | − | 22.0975i | −0.187064 | − | 0.117540i | ||||
\(189\) | 157.725 | − | 251.017i | 0.834522 | − | 1.32813i | ||||
\(190\) | −295.155 | − | 370.112i | −1.55345 | − | 1.94796i | ||||
\(191\) | 100.170 | − | 100.170i | 0.524450 | − | 0.524450i | −0.394463 | − | 0.918912i | \(-0.629069\pi\) |
0.918912 | + | 0.394463i | \(0.129069\pi\) | |||||||
\(192\) | −17.7641 | + | 157.661i | −0.0925213 | + | 0.821150i | ||||
\(193\) | 27.8003 | − | 9.72774i | 0.144043 | − | 0.0504028i | −0.257295 | − | 0.966333i | \(-0.582831\pi\) |
0.401338 | + | 0.915930i | \(0.368545\pi\) | |||||||
\(194\) | −242.663 | + | 304.290i | −1.25084 | + | 1.56851i | ||||
\(195\) | 2.36269 | + | 20.9695i | 0.0121164 | + | 0.107536i | ||||
\(196\) | 220.355 | + | 457.571i | 1.12426 | + | 2.33455i | ||||
\(197\) | −28.3314 | − | 124.128i | −0.143814 | − | 0.630092i | −0.994529 | − | 0.104464i | \(-0.966687\pi\) |
0.850714 | − | 0.525628i | \(-0.176170\pi\) | |||||||
\(198\) | 12.7722 | − | 55.9589i | 0.0645063 | − | 0.282621i | ||||
\(199\) | 272.856 | + | 131.401i | 1.37114 | + | 0.660304i | 0.967090 | − | 0.254435i | \(-0.0818894\pi\) |
0.404046 | + | 0.914739i | \(0.367604\pi\) | |||||||
\(200\) | −17.5187 | − | 6.13005i | −0.0875934 | − | 0.0306503i | ||||
\(201\) | −79.1669 | + | 49.7439i | −0.393865 | + | 0.247482i | ||||
\(202\) | 215.761i | 1.06812i | ||||||||
\(203\) | 86.1204 | − | 335.577i | 0.424238 | − | 1.65309i | ||||
\(204\) | 30.2405 | 0.148238 | ||||||||
\(205\) | 52.1883 | + | 83.0571i | 0.254577 | + | 0.405157i | ||||
\(206\) | −88.5635 | + | 253.100i | −0.429920 | + | 1.22864i | ||||
\(207\) | −115.512 | + | 239.862i | −0.558027 | + | 1.15876i | ||||
\(208\) | 23.3094 | + | 5.32023i | 0.112065 | + | 0.0255780i | ||||
\(209\) | −96.4213 | + | 22.0075i | −0.461346 | + | 0.105299i | ||||
\(210\) | 242.317 | − | 116.694i | 1.15389 | − | 0.555685i | ||||
\(211\) | 116.261 | − | 13.0995i | 0.551002 | − | 0.0620830i | 0.167925 | − | 0.985800i | \(-0.446293\pi\) |
0.383076 | + | 0.923717i | \(0.374865\pi\) | |||||||
\(212\) | −135.759 | − | 108.265i | −0.640375 | − | 0.510682i | ||||
\(213\) | 41.6709 | + | 119.089i | 0.195638 | + | 0.559102i | ||||
\(214\) | −119.789 | − | 13.4970i | −0.559761 | − | 0.0630699i | ||||
\(215\) | −6.03032 | − | 6.03032i | −0.0280480 | − | 0.0280480i | ||||
\(216\) | 84.4850 | − | 67.3746i | 0.391134 | − | 0.311919i | ||||
\(217\) | 140.754 | + | 88.4417i | 0.648637 | + | 0.407565i | ||||
\(218\) | 183.403 | − | 291.884i | 0.841298 | − | 1.33892i | ||||
\(219\) | −76.9728 | − | 96.5209i | −0.351474 | − | 0.440735i | ||||
\(220\) | 50.9493 | − | 50.9493i | 0.231588 | − | 0.231588i | ||||
\(221\) | 1.11585 | − | 9.90347i | 0.00504911 | − | 0.0448121i | ||||
\(222\) | 92.5018 | − | 32.3678i | 0.416675 | − | 0.145801i | ||||
\(223\) | 157.783 | − | 197.854i | 0.707547 | − | 0.887236i | −0.290015 | − | 0.957022i | \(-0.593660\pi\) |
0.997562 | + | 0.0697862i | \(0.0222317\pi\) | |||||||
\(224\) | −57.4171 | − | 509.591i | −0.256326 | − | 2.27496i | ||||
\(225\) | −11.8452 | − | 24.5968i | −0.0526453 | − | 0.109319i | ||||
\(226\) | 23.6969 | + | 103.823i | 0.104854 | + | 0.459394i | ||||
\(227\) | −21.4599 | + | 94.0221i | −0.0945372 | + | 0.414194i | −0.999946 | − | 0.0103453i | \(-0.996707\pi\) |
0.905409 | + | 0.424540i | \(0.139564\pi\) | |||||||
\(228\) | −266.384 | − | 128.284i | −1.16835 | − | 0.562649i | ||||
\(229\) | 56.9198 | + | 19.9171i | 0.248558 | + | 0.0869742i | 0.451683 | − | 0.892179i | \(-0.350824\pi\) |
−0.203125 | + | 0.979153i | \(0.565110\pi\) | |||||||
\(230\) | −491.859 | + | 309.055i | −2.13852 | + | 1.34372i | ||||
\(231\) | − | 56.1895i | − | 0.243244i | ||||||
\(232\) | 70.0295 | − | 105.088i | 0.301851 | − | 0.452965i | ||||
\(233\) | 94.7649 | 0.406716 | 0.203358 | − | 0.979104i | \(-0.434814\pi\) | ||||
0.203358 | + | 0.979104i | \(0.434814\pi\) | |||||||
\(234\) | −30.0864 | − | 47.8822i | −0.128574 | − | 0.204625i | ||||
\(235\) | 11.5281 | − | 32.9454i | 0.0490557 | − | 0.140193i | ||||
\(236\) | 22.2871 | − | 46.2796i | 0.0944367 | − | 0.196100i | ||||
\(237\) | 140.700 | + | 32.1138i | 0.593669 | + | 0.135501i | ||||
\(238\) | −123.836 | + | 28.2647i | −0.520319 | + | 0.118759i | ||||
\(239\) | −92.0947 | + | 44.3505i | −0.385333 | + | 0.185567i | −0.616514 | − | 0.787344i | \(-0.711456\pi\) |
0.231180 | + | 0.972911i | \(0.425741\pi\) | |||||||
\(240\) | −60.5834 | + | 6.82611i | −0.252431 | + | 0.0284421i | ||||
\(241\) | −288.328 | − | 229.934i | −1.19638 | − | 0.954084i | −0.196731 | − | 0.980457i | \(-0.563033\pi\) |
−0.999652 | + | 0.0263733i | \(0.991604\pi\) | |||||||
\(242\) | 114.008 | + | 325.816i | 0.471107 | + | 1.34635i | ||||
\(243\) | 250.223 | + | 28.1934i | 1.02973 | + | 0.116022i | ||||
\(244\) | −227.054 | − | 227.054i | −0.930551 | − | 0.930551i | ||||
\(245\) | −333.682 | + | 266.103i | −1.36197 | + | 1.08613i | ||||
\(246\) | 90.1664 | + | 56.6553i | 0.366530 | + | 0.230306i | ||||
\(247\) | −51.8411 | + | 82.5046i | −0.209883 | + | 0.334027i | ||||
\(248\) | 37.7793 | + | 47.3737i | 0.152336 | + | 0.191023i | ||||
\(249\) | 53.8122 | − | 53.8122i | 0.216113 | − | 0.216113i | ||||
\(250\) | 45.7898 | − | 406.395i | 0.183159 | − | 1.62558i | ||||
\(251\) | −346.223 | + | 121.149i | −1.37937 | + | 0.482663i | −0.915171 | − | 0.403066i | \(-0.867945\pi\) |
−0.464202 | + | 0.885729i | \(0.653659\pi\) | |||||||
\(252\) | −258.535 | + | 324.193i | −1.02593 | + | 1.28648i | ||||
\(253\) | 13.5881 | + | 120.598i | 0.0537079 | + | 0.476671i | ||||
\(254\) | −213.593 | − | 443.531i | −0.840917 | − | 1.74618i | ||||
\(255\) | 5.65498 | + | 24.7761i | 0.0221764 | + | 0.0971611i | ||||
\(256\) | 1.50755 | − | 6.60499i | 0.00588885 | − | 0.0258007i | ||||
\(257\) | −348.410 | − | 167.786i | −1.35568 | − | 0.652862i | −0.392013 | − | 0.919960i | \(-0.628221\pi\) |
−0.963670 | + | 0.267097i | \(0.913936\pi\) | |||||||
\(258\) | −8.73859 | − | 3.05776i | −0.0338705 | − | 0.0118518i | ||||
\(259\) | −200.525 | + | 125.999i | −0.774230 | + | 0.486481i | ||||
\(260\) | − | 70.9886i | − | 0.273033i | ||||||
\(261\) | 182.138 | − | 36.4637i | 0.697846 | − | 0.139708i | ||||
\(262\) | 467.441 | 1.78413 | ||||||||
\(263\) | 181.203 | + | 288.383i | 0.688986 | + | 1.09651i | 0.989749 | + | 0.142816i | \(0.0456157\pi\) |
−0.300763 | + | 0.953699i | \(0.597241\pi\) | |||||||
\(264\) | 6.76458 | − | 19.3321i | 0.0256234 | − | 0.0732275i | ||||
\(265\) | 63.3142 | − | 131.473i | 0.238921 | − | 0.496126i | ||||
\(266\) | 1210.75 | + | 276.347i | 4.55171 | + | 1.03890i | ||||
\(267\) | −93.1853 | + | 21.2689i | −0.349009 | + | 0.0796589i | ||||
\(268\) | 283.382 | − | 136.470i | 1.05740 | − | 0.509216i | ||||
\(269\) | 71.8537 | − | 8.09596i | 0.267114 | − | 0.0300965i | 0.0226084 | − | 0.999744i | \(-0.492803\pi\) |
0.244506 | + | 0.969648i | \(0.421374\pi\) | |||||||
\(270\) | 271.151 | + | 216.236i | 1.00426 | + | 0.800874i | ||||
\(271\) | 110.702 | + | 316.368i | 0.408495 | + | 1.16741i | 0.946005 | + | 0.324153i | \(0.105079\pi\) |
−0.537510 | + | 0.843257i | \(0.680635\pi\) | |||||||
\(272\) | 28.6123 | + | 3.22383i | 0.105192 | + | 0.0118523i | ||||
\(273\) | −39.1449 | − | 39.1449i | −0.143388 | − | 0.143388i | ||||
\(274\) | 129.821 | − | 103.529i | 0.473799 | − | 0.377842i | ||||
\(275\) | −10.5375 | − | 6.62114i | −0.0383181 | − | 0.0240769i | ||||
\(276\) | −193.025 | + | 307.198i | −0.699367 | + | 1.11304i | ||||
\(277\) | −187.171 | − | 234.705i | −0.675707 | − | 0.847310i | 0.319244 | − | 0.947673i | \(-0.396571\pi\) |
−0.994951 | + | 0.100362i | \(0.968000\pi\) | |||||||
\(278\) | −99.8321 | + | 99.8321i | −0.359108 | + | 0.359108i | ||||
\(279\) | −9.97907 | + | 88.5667i | −0.0357673 | + | 0.317443i | ||||
\(280\) | −223.611 | + | 78.2449i | −0.798611 | + | 0.279446i | ||||
\(281\) | 212.195 | − | 266.084i | 0.755142 | − | 0.946918i | −0.244600 | − | 0.969624i | \(-0.578657\pi\) |
0.999742 | + | 0.0227058i | \(0.00722811\pi\) | |||||||
\(282\) | −4.24252 | − | 37.6534i | −0.0150444 | − | 0.133523i | ||||
\(283\) | 43.3073 | + | 89.9286i | 0.153029 | + | 0.317769i | 0.963363 | − | 0.268199i | \(-0.0864286\pi\) |
−0.810334 | + | 0.585968i | \(0.800714\pi\) | |||||||
\(284\) | −94.4462 | − | 413.796i | −0.332557 | − | 1.45703i | ||||
\(285\) | 55.2892 | − | 242.238i | 0.193997 | − | 0.849958i | ||||
\(286\) | −23.2257 | − | 11.1849i | −0.0812086 | − | 0.0391080i | ||||
\(287\) | −242.894 | − | 84.9922i | −0.846320 | − | 0.296140i | ||||
\(288\) | 232.806 | − | 146.282i | 0.808353 | − | 0.507922i | ||||
\(289\) | 276.998i | 0.958470i | ||||||||
\(290\) | 378.832 | + | 144.071i | 1.30632 | + | 0.496797i | ||||
\(291\) | −204.279 | −0.701990 | ||||||||
\(292\) | 220.957 | + | 351.651i | 0.756702 | + | 1.20428i | ||||
\(293\) | −61.7117 | + | 176.362i | −0.210620 | + | 0.601917i | −0.999927 | − | 0.0120814i | \(-0.996154\pi\) |
0.789307 | + | 0.613999i | \(0.210440\pi\) | |||||||
\(294\) | −201.030 | + | 417.443i | −0.683775 | + | 1.41987i | ||||
\(295\) | 42.0846 | + | 9.60553i | 0.142660 | + | 0.0325611i | ||||
\(296\) | −84.1598 | + | 19.2089i | −0.284324 | + | 0.0648950i | ||||
\(297\) | 65.2813 | − | 31.4378i | 0.219802 | − | 0.105851i | ||||
\(298\) | −697.121 | + | 78.5467i | −2.33933 | + | 0.263580i | ||||
\(299\) | 93.4818 | + | 74.5493i | 0.312648 | + | 0.249329i | ||||
\(300\) | −12.2878 | − | 35.1165i | −0.0409594 | − | 0.117055i | ||||
\(301\) | 22.2320 | + | 2.50495i | 0.0738606 | + | 0.00832209i | ||||
\(302\) | −182.589 | − | 182.589i | −0.604599 | − | 0.604599i | ||||
\(303\) | −88.5391 | + | 70.6076i | −0.292208 | + | 0.233028i | ||||
\(304\) | −238.366 | − | 149.775i | −0.784098 | − | 0.492681i | ||||
\(305\) | 143.567 | − | 228.485i | 0.470710 | − | 0.749131i | ||||
\(306\) | −42.4614 | − | 53.2449i | −0.138763 | − | 0.174003i | ||||
\(307\) | 153.936 | − | 153.936i | 0.501419 | − | 0.501419i | −0.410460 | − | 0.911879i | \(-0.634632\pi\) |
0.911879 | + | 0.410460i | \(0.134632\pi\) | |||||||
\(308\) | −21.1639 | + | 187.835i | −0.0687141 | + | 0.609855i | ||||
\(309\) | −132.844 | + | 46.4840i | −0.429915 | + | 0.150434i | ||||
\(310\) | −121.251 | + | 152.044i | −0.391132 | + | 0.490465i | ||||
\(311\) | 1.32892 | + | 11.7945i | 0.00427306 | + | 0.0379245i | 0.995668 | − | 0.0929819i | \(-0.0296399\pi\) |
−0.991395 | + | 0.130906i | \(0.958211\pi\) | |||||||
\(312\) | −8.75525 | − | 18.1805i | −0.0280617 | − | 0.0582707i | ||||
\(313\) | −66.0161 | − | 289.235i | −0.210914 | − | 0.924074i | −0.963948 | − | 0.266092i | \(-0.914267\pi\) |
0.753034 | − | 0.657982i | \(-0.228590\pi\) | |||||||
\(314\) | −133.270 | + | 583.892i | −0.424425 | + | 1.85953i | ||||
\(315\) | −313.957 | − | 151.194i | −0.996690 | − | 0.479981i | ||||
\(316\) | −458.248 | − | 160.348i | −1.45015 | − | 0.507430i | ||||
\(317\) | 214.084 | − | 134.518i | 0.675345 | − | 0.424347i | −0.150221 | − | 0.988652i | \(-0.547999\pi\) |
0.825566 | + | 0.564305i | \(0.190856\pi\) | |||||||
\(318\) | − | 158.415i | − | 0.498159i | ||||||
\(319\) | 61.4585 | − | 58.2481i | 0.192660 | − | 0.182596i | ||||
\(320\) | 448.534 | 1.40167 | ||||||||
\(321\) | −33.6622 | − | 53.5731i | −0.104867 | − | 0.166894i | ||||
\(322\) | 503.318 | − | 1438.40i | 1.56310 | − | 4.46708i | ||||
\(323\) | −50.9146 | + | 105.725i | −0.157630 | + | 0.327323i | ||||
\(324\) | −93.3731 | − | 21.3118i | −0.288188 | − | 0.0657771i | ||||
\(325\) | −11.9537 | + | 2.72836i | −0.0367807 | + | 0.00839495i | ||||
\(326\) | −107.641 | + | 51.8374i | −0.330188 | + | 0.159010i | ||||
\(327\) | 179.795 | − | 20.2581i | 0.549833 | − | 0.0619513i | ||||
\(328\) | −73.3358 | − | 58.4834i | −0.223585 | − | 0.178303i | ||||
\(329\) | 30.2427 | + | 86.4286i | 0.0919230 | + | 0.262701i | ||||
\(330\) | 65.3209 | + | 7.35990i | 0.197942 | + | 0.0223027i | ||||
\(331\) | −111.869 | − | 111.869i | −0.337973 | − | 0.337973i | 0.517631 | − | 0.855604i | \(-0.326814\pi\) |
−0.855604 | + | 0.517631i | \(0.826814\pi\) | |||||||
\(332\) | −200.157 | + | 159.620i | −0.602882 | + | 0.480782i | ||||
\(333\) | −107.513 | − | 67.5548i | −0.322861 | − | 0.202867i | ||||
\(334\) | −30.6709 | + | 48.8125i | −0.0918291 | + | 0.146145i | ||||
\(335\) | 164.802 | + | 206.656i | 0.491947 | + | 0.616882i | ||||
\(336\) | 113.094 | − | 113.094i | 0.336590 | − | 0.336590i | ||||
\(337\) | −69.1598 | + | 613.810i | −0.205222 | + | 1.82140i | 0.294998 | + | 0.955498i | \(0.404681\pi\) |
−0.500220 | + | 0.865898i | \(0.666748\pi\) | |||||||
\(338\) | 465.586 | − | 162.916i | 1.37747 | − | 0.481999i | ||||
\(339\) | −34.8498 | + | 43.7002i | −0.102802 | + | 0.128909i | ||||
\(340\) | −9.57198 | − | 84.9537i | −0.0281529 | − | 0.249864i | ||||
\(341\) | 17.6283 | + | 36.6055i | 0.0516958 | + | 0.107347i | ||||
\(342\) | 148.165 | + | 649.153i | 0.433231 | + | 1.89811i | ||||
\(343\) | 118.886 | − | 520.873i | 0.346606 | − | 1.51858i | ||||
\(344\) | 7.34739 | + | 3.53832i | 0.0213587 | + | 0.0102858i | ||||
\(345\) | −287.783 | − | 100.700i | −0.834155 | − | 0.291883i | ||||
\(346\) | −563.399 | + | 354.007i | −1.62832 | + | 1.02314i | ||||
\(347\) | 195.864i | 0.564450i | 0.959348 | + | 0.282225i | \(0.0910724\pi\) | ||||
−0.959348 | + | 0.282225i | \(0.908928\pi\) | |||||||
\(348\) | 252.216 | − | 21.5884i | 0.724758 | − | 0.0620357i | ||||
\(349\) | 350.810 | 1.00519 | 0.502593 | − | 0.864523i | \(-0.332380\pi\) | ||||
0.502593 | + | 0.864523i | \(0.332380\pi\) | |||||||
\(350\) | 83.1411 | + | 132.318i | 0.237546 | + | 0.378052i | ||||
\(351\) | 23.5774 | − | 67.3802i | 0.0671720 | − | 0.191966i | ||||
\(352\) | 54.3815 | − | 112.924i | 0.154493 | − | 0.320808i | ||||
\(353\) | −326.927 | − | 74.6189i | −0.926139 | − | 0.211385i | −0.267251 | − | 0.963627i | \(-0.586115\pi\) |
−0.658887 | + | 0.752242i | \(0.728973\pi\) | |||||||
\(354\) | 45.6868 | − | 10.4277i | 0.129059 | − | 0.0294568i | ||||
\(355\) | 321.362 | − | 154.760i | 0.905245 | − | 0.435943i | ||||
\(356\) | 319.519 | − | 36.0012i | 0.897526 | − | 0.101127i | ||||
\(357\) | −52.1238 | − | 41.5674i | −0.146005 | − | 0.116435i | ||||
\(358\) | 67.1085 | + | 191.785i | 0.187454 | + | 0.535713i | ||||
\(359\) | −329.831 | − | 37.1631i | −0.918751 | − | 0.103518i | −0.360093 | − | 0.932917i | \(-0.617255\pi\) |
−0.558658 | + | 0.829398i | \(0.688683\pi\) | |||||||
\(360\) | −89.8154 | − | 89.8154i | −0.249487 | − | 0.249487i | ||||
\(361\) | 614.757 | − | 490.253i | 1.70293 | − | 1.35804i | ||||
\(362\) | 91.1504 | + | 57.2736i | 0.251797 | + | 0.158214i | ||||
\(363\) | −96.3919 | + | 153.407i | −0.265543 | + | 0.422608i | ||||
\(364\) | 116.113 | + | 145.601i | 0.318992 | + | 0.400003i | ||||
\(365\) | −246.789 | + | 246.789i | −0.676134 | + | 0.676134i | ||||
\(366\) | 32.7992 | − | 291.101i | 0.0896154 | − | 0.795358i | ||||
\(367\) | −308.985 | + | 108.119i | −0.841921 | + | 0.294601i | −0.716573 | − | 0.697512i | \(-0.754290\pi\) |
−0.125348 | + | 0.992113i | \(0.540005\pi\) | |||||||
\(368\) | −215.382 | + | 270.080i | −0.585277 | + | 0.733914i | ||||
\(369\) | −15.4479 | − | 137.104i | −0.0418642 | − | 0.371555i | ||||
\(370\) | −120.209 | − | 249.617i | −0.324890 | − | 0.674641i | ||||
\(371\) | 85.1847 | + | 373.219i | 0.229608 | + | 1.00598i | ||||
\(372\) | −27.0275 | + | 118.415i | −0.0726545 | + | 0.318320i | ||||
\(373\) | 369.998 | + | 178.182i | 0.991951 | + | 0.477698i | 0.858199 | − | 0.513316i | \(-0.171583\pi\) |
0.133752 | + | 0.991015i | \(0.457298\pi\) | |||||||
\(374\) | −29.3028 | − | 10.2535i | −0.0783498 | − | 0.0274158i | ||||
\(375\) | 181.752 | − | 114.202i | 0.484672 | − | 0.304540i | ||||
\(376\) | 33.3767i | 0.0887679i | ||||||||
\(377\) | 2.23659 | − | 83.3948i | 0.00593259 | − | 0.221206i | ||||
\(378\) | −909.833 | −2.40697 | ||||||||
\(379\) | 197.597 | + | 314.473i | 0.521363 | + | 0.829745i | 0.998803 | − | 0.0489200i | \(-0.0155779\pi\) |
−0.477440 | + | 0.878665i | \(0.658435\pi\) | |||||||
\(380\) | −276.066 | + | 788.950i | −0.726488 | + | 2.07618i | ||||
\(381\) | 112.108 | − | 232.794i | 0.294246 | − | 0.611009i | ||||
\(382\) | −423.862 | − | 96.7437i | −1.10959 | − | 0.253256i | ||||
\(383\) | −418.965 | + | 95.6261i | −1.09390 | + | 0.249676i | −0.731156 | − | 0.682211i | \(-0.761019\pi\) |
−0.362748 | + | 0.931887i | \(0.618162\pi\) | |||||||
\(384\) | 189.512 | − | 91.2643i | 0.493522 | − | 0.237667i | ||||
\(385\) | −157.851 | + | 17.7856i | −0.410003 | + | 0.0461962i | ||||
\(386\) | −70.6714 | − | 56.3586i | −0.183087 | − | 0.146007i | ||||
\(387\) | 3.96178 | + | 11.3221i | 0.0102372 | + | 0.0292561i | ||||
\(388\) | 682.883 | + | 76.9424i | 1.76001 | + | 0.198305i | ||||
\(389\) | 261.614 | + | 261.614i | 0.672531 | + | 0.672531i | 0.958299 | − | 0.285768i | \(-0.0922487\pi\) |
−0.285768 | + | 0.958299i | \(0.592249\pi\) | |||||||
\(390\) | 50.6338 | − | 40.3791i | 0.129830 | − | 0.103536i | ||||
\(391\) | 121.924 | + | 76.6099i | 0.311826 | + | 0.195933i | ||||
\(392\) | 217.133 | − | 345.565i | 0.553910 | − | 0.881543i | ||||
\(393\) | 152.970 | + | 191.818i | 0.389236 | + | 0.488086i | ||||
\(394\) | −276.301 | + | 276.301i | −0.701272 | + | 0.701272i | ||||
\(395\) | 45.6807 | − | 405.428i | 0.115647 | − | 1.02640i | ||||
\(396\) | −95.6589 | + | 33.4725i | −0.241563 | + | 0.0845265i | ||||
\(397\) | −93.5455 | + | 117.302i | −0.235631 | + | 0.295472i | −0.885562 | − | 0.464521i | \(-0.846226\pi\) |
0.649931 | + | 0.759993i | \(0.274798\pi\) | |||||||
\(398\) | −104.065 | − | 923.601i | −0.261469 | − | 2.32060i | ||||
\(399\) | 282.817 | + | 587.276i | 0.708816 | + | 1.47187i | ||||
\(400\) | −7.88256 | − | 34.5357i | −0.0197064 | − | 0.0863394i | ||||
\(401\) | 52.5601 | − | 230.281i | 0.131073 | − | 0.574266i | −0.866150 | − | 0.499784i | \(-0.833413\pi\) |
0.997222 | − | 0.0744818i | \(-0.0237303\pi\) | |||||||
\(402\) | 258.530 | + | 124.502i | 0.643110 | + | 0.309705i | ||||
\(403\) | 37.7824 | + | 13.2206i | 0.0937530 | + | 0.0328056i | ||||
\(404\) | 322.571 | − | 202.685i | 0.798443 | − | 0.501695i | ||||
\(405\) | − | 80.4859i | − | 0.198731i | ||||||
\(406\) | −1012.65 | + | 324.142i | −2.49422 | + | 0.798381i | ||||
\(407\) | −57.8821 | −0.142217 | ||||||||
\(408\) | −12.9290 | − | 20.5764i | −0.0316888 | − | 0.0504324i | ||||
\(409\) | 13.0580 | − | 37.3176i | 0.0319266 | − | 0.0912410i | −0.926817 | − | 0.375514i | \(-0.877466\pi\) |
0.958744 | + | 0.284273i | \(0.0917521\pi\) | |||||||
\(410\) | 130.620 | − | 271.234i | 0.318584 | − | 0.661547i | ||||
\(411\) | 84.9676 | + | 19.3933i | 0.206734 | + | 0.0471857i | ||||
\(412\) | 461.590 | − | 105.355i | 1.12037 | − | 0.255716i | ||||
\(413\) | −102.029 | + | 49.1345i | −0.247043 | + | 0.118970i | ||||
\(414\) | 811.919 | − | 91.4813i | 1.96116 | − | 0.220969i | ||||
\(415\) | −168.206 | − | 134.140i | −0.405315 | − | 0.323228i | ||||
\(416\) | −40.7844 | − | 116.555i | −0.0980395 | − | 0.280181i | ||||
\(417\) | −73.6368 | − | 8.29687i | −0.176587 | − | 0.0198966i | ||||
\(418\) | 214.628 | + | 214.628i | 0.513463 | + | 0.513463i | ||||
\(419\) | 490.816 | − | 391.413i | 1.17140 | − | 0.934160i | 0.172691 | − | 0.984976i | \(-0.444754\pi\) |
0.998708 | + | 0.0508160i | \(0.0161822\pi\) | |||||||
\(420\) | −402.094 | − | 252.652i | −0.957366 | − | 0.601553i | ||||
\(421\) | −188.794 | + | 300.464i | −0.448442 | + | 0.713692i | −0.992077 | − | 0.125630i | \(-0.959905\pi\) |
0.543635 | + | 0.839322i | \(0.317048\pi\) | |||||||
\(422\) | −223.874 | − | 280.729i | −0.530508 | − | 0.665235i | ||||
\(423\) | −34.7148 | + | 34.7148i | −0.0820681 | + | 0.0820681i | ||||
\(424\) | −15.6234 | + | 138.662i | −0.0368477 | + | 0.327032i | ||||
\(425\) | −13.9374 | + | 4.87691i | −0.0327939 | + | 0.0114751i | ||||
\(426\) | 241.425 | − | 302.737i | 0.566724 | − | 0.710650i | ||||
\(427\) | 79.2609 | + | 703.460i | 0.185623 | + | 1.64745i | ||||
\(428\) | 92.3506 | + | 191.768i | 0.215772 | + | 0.448056i | ||||
\(429\) | −3.01077 | − | 13.1911i | −0.00701812 | − | 0.0307484i | ||||
\(430\) | −5.82406 | + | 25.5169i | −0.0135443 | + | 0.0593416i | ||||
\(431\) | −433.295 | − | 208.664i | −1.00532 | − | 0.484139i | −0.142583 | − | 0.989783i | \(-0.545541\pi\) |
−0.862742 | + | 0.505644i | \(0.831255\pi\) | |||||||
\(432\) | 194.670 | + | 68.1178i | 0.450624 | + | 0.157680i | ||||
\(433\) | 255.849 | − | 160.760i | 0.590875 | − | 0.371271i | −0.203158 | − | 0.979146i | \(-0.565121\pi\) |
0.794033 | + | 0.607875i | \(0.207978\pi\) | |||||||
\(434\) | − | 510.175i | − | 1.17552i | ||||||
\(435\) | 64.8518 | + | 202.604i | 0.149085 | + | 0.465755i | ||||
\(436\) | −608.666 | −1.39602 | ||||||||
\(437\) | −749.022 | − | 1192.06i | −1.71401 | − | 2.72783i | ||||
\(438\) | −125.138 | + | 357.624i | −0.285703 | + | 0.816493i | ||||
\(439\) | 60.9039 | − | 126.468i | 0.138733 | − | 0.288083i | −0.820013 | − | 0.572344i | \(-0.806034\pi\) |
0.958747 | + | 0.284262i | \(0.0917484\pi\) | |||||||
\(440\) | −56.4501 | − | 12.8844i | −0.128296 | − | 0.0292826i | ||||
\(441\) | 585.256 | − | 133.581i | 1.32711 | − | 0.302905i | ||||
\(442\) | −27.5573 | + | 13.2709i | −0.0623468 | + | 0.0300246i | ||||
\(443\) | −454.976 | + | 51.2635i | −1.02703 | + | 0.115719i | −0.609372 | − | 0.792884i | \(-0.708579\pi\) |
−0.417661 | + | 0.908603i | \(0.637150\pi\) | |||||||
\(444\) | −135.287 | − | 107.888i | −0.304700 | − | 0.242990i | ||||
\(445\) | 89.2459 | + | 255.050i | 0.200553 | + | 0.573146i | ||||
\(446\) | −771.776 | − | 86.9583i | −1.73044 | − | 0.194974i | ||||
\(447\) | −260.365 | − | 260.365i | −0.582471 | − | 0.582471i | ||||
\(448\) | −919.965 | + | 733.648i | −2.05349 | + | 1.63761i | ||||
\(449\) | 422.069 | + | 265.204i | 0.940021 | + | 0.590654i | 0.912549 | − | 0.408968i | \(-0.134111\pi\) |
0.0274722 | + | 0.999623i | \(0.491254\pi\) | |||||||
\(450\) | −44.5766 | + | 70.9432i | −0.0990590 | + | 0.157652i | ||||
\(451\) | −39.2143 | − | 49.1732i | −0.0869497 | − | 0.109031i | ||||
\(452\) | 132.959 | − | 132.959i | 0.294157 | − | 0.294157i | ||||
\(453\) | 15.1746 | − | 134.679i | 0.0334981 | − | 0.297304i | ||||
\(454\) | 279.367 | − | 97.7549i | 0.615347 | − | 0.215319i | ||||
\(455\) | −97.5780 | + | 122.359i | −0.214457 | + | 0.268921i | ||||
\(456\) | 26.6022 | + | 236.101i | 0.0583382 | + | 0.517766i | ||||
\(457\) | −4.22710 | − | 8.77767i | −0.00924968 | − | 0.0192071i | 0.896293 | − | 0.443463i | \(-0.146250\pi\) |
−0.905543 | + | 0.424256i | \(0.860536\pi\) | |||||||
\(458\) | −41.1828 | − | 180.434i | −0.0899188 | − | 0.393960i | ||||
\(459\) | 19.1301 | − | 83.8146i | 0.0416779 | − | 0.182603i | ||||
\(460\) | 924.100 | + | 445.023i | 2.00891 | + | 0.967441i | ||||
\(461\) | 736.203 | + | 257.609i | 1.59697 | + | 0.558804i | 0.974607 | − | 0.223924i | \(-0.0718867\pi\) |
0.622364 | + | 0.782728i | \(0.286172\pi\) | |||||||
\(462\) | −146.015 | + | 91.7471i | −0.316049 | + | 0.198587i | ||||
\(463\) | 21.7764i | 0.0470332i | 0.999723 | + | 0.0235166i | \(0.00748626\pi\) | ||||
−0.999723 | + | 0.0235166i | \(0.992514\pi\) | |||||||
\(464\) | 240.938 | + | 6.46177i | 0.519262 | + | 0.0139262i | ||||
\(465\) | −102.072 | −0.219509 | ||||||||
\(466\) | −154.734 | − | 246.258i | −0.332047 | − | 0.528450i | ||||
\(467\) | −94.2773 | + | 269.429i | −0.201878 | + | 0.576936i | −0.999662 | − | 0.0260088i | \(-0.991720\pi\) |
0.797783 | + | 0.602944i | \(0.206006\pi\) | |||||||
\(468\) | −43.3227 | + | 89.9606i | −0.0925699 | + | 0.192223i | ||||
\(469\) | −676.036 | − | 154.301i | −1.44144 | − | 0.328999i | ||||
\(470\) | −104.436 | + | 23.8367i | −0.222203 | + | 0.0507165i | ||||
\(471\) | −283.217 | + | 136.390i | −0.601309 | + | 0.289575i | ||||
\(472\) | −41.0184 | + | 4.62167i | −0.0869034 | + | 0.00979166i | ||||
\(473\) | 4.27512 | + | 3.40930i | 0.00903831 | + | 0.00720781i | ||||
\(474\) | −146.286 | − | 418.060i | −0.308619 | − | 0.881983i | ||||
\(475\) | 143.461 | + | 16.1642i | 0.302023 | + | 0.0340298i | ||||
\(476\) | 158.588 | + | 158.588i | 0.333168 | + | 0.333168i | ||||
\(477\) | −160.470 | + | 127.971i | −0.336416 | + | 0.268283i | ||||
\(478\) | 265.624 | + | 166.902i | 0.555698 | + | 0.349168i | ||||
\(479\) | 390.644 | − | 621.706i | 0.815540 | − | 1.29792i | −0.136095 | − | 0.990696i | \(-0.543455\pi\) |
0.951636 | − | 0.307229i | \(-0.0994017\pi\) | |||||||
\(480\) | 196.325 | + | 246.184i | 0.409011 | + | 0.512884i | ||||
\(481\) | −40.3241 | + | 40.3241i | −0.0838339 | + | 0.0838339i | ||||
\(482\) | −126.723 | + | 1124.70i | −0.262910 | + | 2.33339i | ||||
\(483\) | 754.969 | − | 264.175i | 1.56308 | − | 0.546946i | ||||
\(484\) | 380.009 | − | 476.516i | 0.785142 | − | 0.984537i | ||||
\(485\) | 64.6601 | + | 573.874i | 0.133320 | + | 1.18325i | ||||
\(486\) | −335.305 | − | 696.269i | −0.689929 | − | 1.43265i | ||||
\(487\) | −142.396 | − | 623.876i | −0.292394 | − | 1.28106i | −0.881184 | − | 0.472774i | \(-0.843253\pi\) |
0.588790 | − | 0.808286i | \(-0.299604\pi\) | |||||||
\(488\) | −57.4189 | + | 251.568i | −0.117662 | + | 0.515509i | ||||
\(489\) | −56.4974 | − | 27.2077i | −0.115537 | − | 0.0556395i | ||||
\(490\) | 1236.34 | + | 432.614i | 2.52314 | + | 0.882886i | ||||
\(491\) | 110.365 | − | 69.3472i | 0.224777 | − | 0.141237i | −0.414936 | − | 0.909851i | \(-0.636196\pi\) |
0.639713 | + | 0.768614i | \(0.279053\pi\) | |||||||
\(492\) | − | 188.024i | − | 0.382163i | ||||||
\(493\) | −8.56823 | − | 100.102i | −0.0173798 | − | 0.203047i | ||||
\(494\) | 299.045 | 0.605354 | ||||||||
\(495\) | −45.3123 | − | 72.1140i | −0.0915399 | − | 0.145685i | ||||
\(496\) | −38.1960 | + | 109.158i | −0.0770082 | + | 0.220077i | ||||
\(497\) | −405.995 | + | 843.058i | −0.816892 | + | 1.69629i | ||||
\(498\) | −227.703 | − | 51.9717i | −0.457234 | − | 0.104361i | ||||
\(499\) | 66.2987 | − | 15.1322i | 0.132863 | − | 0.0303251i | −0.155572 | − | 0.987825i | \(-0.549722\pi\) |
0.288435 | + | 0.957499i | \(0.406865\pi\) | |||||||
\(500\) | −650.592 | + | 313.309i | −1.30118 | + | 0.626617i | ||||
\(501\) | −30.0676 | + | 3.38780i | −0.0600152 | + | 0.00676209i | ||||
\(502\) | 880.137 | + | 701.886i | 1.75326 | + | 1.39818i | ||||
\(503\) | −287.544 | − | 821.754i | −0.571658 | − | 1.63371i | −0.758764 | − | 0.651365i | \(-0.774197\pi\) |
0.187106 | − | 0.982340i | \(-0.440089\pi\) | |||||||
\(504\) | 331.123 | + | 37.3086i | 0.656990 | + | 0.0740250i | ||||
\(505\) | 226.381 | + | 226.381i | 0.448278 | + | 0.448278i | ||||
\(506\) | 291.200 | − | 232.224i | 0.575494 | − | 0.458941i | ||||
\(507\) | 219.216 | + | 137.743i | 0.432380 | + | 0.271682i | ||||
\(508\) | −462.447 | + | 735.980i | −0.910329 | + | 1.44878i | ||||
\(509\) | −154.547 | − | 193.796i | −0.303629 | − | 0.380739i | 0.606486 | − | 0.795094i | \(-0.292579\pi\) |
−0.910115 | + | 0.414355i | \(0.864007\pi\) | |||||||
\(510\) | 55.1499 | − | 55.1499i | 0.108137 | − | 0.108137i | ||||
\(511\) | 102.514 | − | 909.838i | 0.200615 | − | 1.78051i | ||||
\(512\) | 473.386 | − | 165.645i | 0.924582 | − | 0.323525i | ||||
\(513\) | −524.066 | + | 657.158i | −1.02157 | + | 1.28101i | ||||
\(514\) | 132.881 | + | 1179.35i | 0.258523 | + | 2.29445i | ||||
\(515\) | 172.635 | + | 358.480i | 0.335213 | + | 0.696078i | ||||
\(516\) | 3.63751 | + | 15.9370i | 0.00704944 | + | 0.0308856i | ||||
\(517\) | −4.97997 | + | 21.8187i | −0.00963244 | + | 0.0422025i | ||||
\(518\) | 654.843 | + | 315.356i | 1.26418 | + | 0.608795i | ||||
\(519\) | −329.641 | − | 115.347i | −0.635147 | − | 0.222248i | ||||
\(520\) | −48.3025 | + | 30.3505i | −0.0928894 | + | 0.0583663i | ||||
\(521\) | − | 250.623i | − | 0.481041i | −0.970644 | − | 0.240521i | \(-0.922682\pi\) | ||
0.970644 | − | 0.240521i | \(-0.0773182\pi\) | |||||||
\(522\) | −392.153 | − | 413.767i | −0.751251 | − | 0.792657i | ||||
\(523\) | 190.538 | 0.364318 | 0.182159 | − | 0.983269i | \(-0.441691\pi\) | ||||
0.182159 | + | 0.983269i | \(0.441691\pi\) | |||||||
\(524\) | −439.112 | − | 698.843i | −0.838000 | − | 1.33367i | ||||
\(525\) | −27.0900 | + | 77.4186i | −0.0515999 | + | 0.147464i | ||||
\(526\) | 453.525 | − | 941.755i | 0.862215 | − | 1.79041i | ||||
\(527\) | 46.9978 | + | 10.7269i | 0.0891798 | + | 0.0203547i | ||||
\(528\) | 38.1106 | − | 8.69849i | 0.0721791 | − | 0.0164744i | ||||
\(529\) | −1079.87 | + | 520.038i | −2.04134 | + | 0.983058i | ||||
\(530\) | −445.029 | + | 50.1427i | −0.839677 | + | 0.0946089i | ||||
\(531\) | −47.4698 | − | 37.8559i | −0.0893969 | − | 0.0712917i | ||||
\(532\) | −724.228 | − | 2069.72i | −1.36133 | − | 3.89046i | ||||
\(533\) | −61.5760 | − | 6.93794i | −0.115527 | − | 0.0130168i | ||||
\(534\) | 207.424 | + | 207.424i | 0.388435 | + | 0.388435i | ||||
\(535\) | −139.846 | + | 111.523i | −0.261394 | + | 0.208455i | ||||
\(536\) | −214.015 | − | 134.474i | −0.399281 | − | 0.250885i | ||||
\(537\) | −56.7392 | + | 90.3000i | −0.105660 | + | 0.168156i | ||||
\(538\) | −138.362 | − | 173.501i | −0.257179 | − | 0.322492i | ||||
\(539\) | 193.502 | − | 193.502i | 0.359001 | − | 0.359001i | ||||
\(540\) | 68.5629 | − | 608.513i | 0.126968 | − | 1.12688i | ||||
\(541\) | −692.929 | + | 242.466i | −1.28083 | + | 0.448182i | −0.883041 | − | 0.469295i | \(-0.844508\pi\) |
−0.397789 | + | 0.917477i | \(0.630222\pi\) | |||||||
\(542\) | 641.363 | − | 804.243i | 1.18333 | − | 1.48384i | ||||
\(543\) | 6.32625 | + | 56.1470i | 0.0116505 | + | 0.103401i | ||||
\(544\) | −64.5238 | − | 133.985i | −0.118610 | − | 0.246296i | ||||
\(545\) | −113.821 | − | 498.681i | −0.208845 | − | 0.915011i | ||||
\(546\) | −37.8060 | + | 165.639i | −0.0692418 | + | 0.303368i | ||||
\(547\) | −646.089 | − | 311.140i | −1.18115 | − | 0.568812i | −0.262904 | − | 0.964822i | \(-0.584680\pi\) |
−0.918246 | + | 0.396010i | \(0.870394\pi\) | |||||||
\(548\) | −276.733 | − | 96.8330i | −0.504987 | − | 0.176703i | ||||
\(549\) | −321.375 | + | 201.933i | −0.585382 | + | 0.367820i | ||||
\(550\) | 38.1940i | 0.0694436i | ||||||||
\(551\) | −349.168 | + | 918.131i | −0.633699 | + | 1.66630i | ||||
\(552\) | 291.552 | 0.528173 | ||||||||
\(553\) | 569.448 | + | 906.271i | 1.02974 | + | 1.63883i | ||||
\(554\) | −304.292 | + | 869.616i | −0.549263 | + | 1.56970i | ||||
\(555\) | 63.0938 | − | 131.016i | 0.113683 | − | 0.236064i | ||||
\(556\) | 243.035 | + | 55.4711i | 0.437113 | + | 0.0997681i | ||||
\(557\) | 292.506 | − | 66.7627i | 0.525146 | − | 0.119861i | 0.0482744 | − | 0.998834i | \(-0.484628\pi\) |
0.476872 | + | 0.878973i | \(0.341771\pi\) | |||||||
\(558\) | 246.445 | − | 118.682i | 0.441657 | − | 0.212691i | ||||
\(559\) | 5.35342 | − | 0.603186i | 0.00957678 | − | 0.00107904i | ||||
\(560\) | −353.510 | − | 281.915i | −0.631268 | − | 0.503419i | ||||
\(561\) | −5.38172 | − | 15.3801i | −0.00959309 | − | 0.0274155i | ||||
\(562\) | −1037.93 | − | 116.946i | −1.84684 | − | 0.208089i | ||||
\(563\) | 748.523 | + | 748.523i | 1.32953 | + | 1.32953i | 0.905782 | + | 0.423743i | \(0.139284\pi\) |
0.423743 | + | 0.905782i | \(0.360716\pi\) | |||||||
\(564\) | −52.3079 | + | 41.7142i | −0.0927445 | + | 0.0739613i | ||||
\(565\) | 133.796 | + | 84.0699i | 0.236808 | + | 0.148796i | ||||
\(566\) | 162.977 | − | 259.376i | 0.287945 | − | 0.458262i | ||||
\(567\) | 131.647 | + | 165.081i | 0.232182 | + | 0.291148i | ||||
\(568\) | −241.178 | + | 241.178i | −0.424609 | + | 0.424609i | ||||
\(569\) | −37.2315 | + | 330.438i | −0.0654331 | + | 0.580735i | 0.917626 | + | 0.397445i | \(0.130103\pi\) |
−0.983059 | + | 0.183290i | \(0.941325\pi\) | |||||||
\(570\) | −719.760 | + | 251.855i | −1.26274 | + | 0.441851i | ||||
\(571\) | 632.274 | − | 792.847i | 1.10731 | − | 1.38852i | 0.194126 | − | 0.980977i | \(-0.437813\pi\) |
0.913184 | − | 0.407546i | \(-0.133616\pi\) | |||||||
\(572\) | 5.09623 | + | 45.2303i | 0.00890949 | + | 0.0790739i | ||||
\(573\) | −99.0089 | − | 205.594i | −0.172790 | − | 0.358803i | ||||
\(574\) | 175.739 | + | 769.964i | 0.306166 | + | 1.34140i | ||||
\(575\) | 39.4205 | − | 172.712i | 0.0685573 | − | 0.300369i | ||||
\(576\) | −568.406 | − | 273.730i | −0.986816 | − | 0.475226i | ||||
\(577\) | 598.835 | + | 209.541i | 1.03784 | + | 0.363156i | 0.794808 | − | 0.606861i | \(-0.207572\pi\) |
0.243034 | + | 0.970018i | \(0.421857\pi\) | |||||||
\(578\) | 719.811 | − | 452.287i | 1.24535 | − | 0.782503i | ||||
\(579\) | − | 47.4438i | − | 0.0819410i | ||||||
\(580\) | −140.481 | − | 701.708i | −0.242209 | − | 1.20984i | ||||
\(581\) | 564.405 | 0.971438 | ||||||||
\(582\) | 333.551 | + | 530.843i | 0.573111 | + | 0.912101i | ||||
\(583\) | −30.9022 | + | 88.3133i | −0.0530054 | + | 0.151481i | ||||
\(584\) | 144.804 | − | 300.689i | 0.247953 | − | 0.514879i | ||||
\(585\) | −81.8061 | − | 18.6717i | −0.139840 | − | 0.0319175i | ||||
\(586\) | 559.060 | − | 127.602i | 0.954028 | − | 0.217751i | ||||
\(587\) | −114.477 | + | 55.1294i | −0.195021 | + | 0.0939171i | −0.528846 | − | 0.848718i | \(-0.677375\pi\) |
0.333825 | + | 0.942635i | \(0.391661\pi\) | |||||||
\(588\) | 812.940 | − | 91.5964i | 1.38255 | − | 0.155776i | ||||
\(589\) | −368.491 | − | 293.862i | −0.625622 | − | 0.498917i | ||||
\(590\) | −43.7554 | − | 125.046i | −0.0741616 | − | 0.211942i | ||||
\(591\) | −203.801 | − | 22.9629i | −0.344842 | − | 0.0388543i | ||||
\(592\) | −116.501 | − | 116.501i | −0.196793 | − | 0.196793i | ||||
\(593\) | −80.0236 | + | 63.8167i | −0.134947 | + | 0.107617i | −0.688637 | − | 0.725106i | \(-0.741791\pi\) |
0.553690 | + | 0.832723i | \(0.313219\pi\) | |||||||
\(594\) | −188.287 | − | 118.309i | −0.316982 | − | 0.199173i | ||||
\(595\) | −100.275 | + | 159.587i | −0.168530 | + | 0.268214i | ||||
\(596\) | 772.303 | + | 968.437i | 1.29581 | + | 1.62489i | ||||
\(597\) | 344.951 | − | 344.951i | 0.577808 | − | 0.577808i | ||||
\(598\) | 41.0860 | − | 364.649i | 0.0687057 | − | 0.609780i | ||||
\(599\) | 552.540 | − | 193.342i | 0.922438 | − | 0.322775i | 0.173055 | − | 0.984912i | \(-0.444636\pi\) |
0.749383 | + | 0.662137i | \(0.230350\pi\) | |||||||
\(600\) | −18.6407 | + | 23.3747i | −0.0310678 | + | 0.0389578i | ||||
\(601\) | −97.2205 | − | 862.856i | −0.161765 | − | 1.43570i | −0.768018 | − | 0.640429i | \(-0.778757\pi\) |
0.606253 | − | 0.795272i | \(-0.292672\pi\) | |||||||
\(602\) | −29.7915 | − | 61.8626i | −0.0494875 | − | 0.102762i | ||||
\(603\) | −82.7292 | − | 362.460i | −0.137196 | − | 0.601095i | ||||
\(604\) | −101.454 | + | 444.500i | −0.167971 | + | 0.735928i | ||||
\(605\) | 461.472 | + | 222.233i | 0.762763 | + | 0.367327i | ||||
\(606\) | 328.050 | + | 114.790i | 0.541337 | + | 0.189422i | ||||
\(607\) | 12.0856 | − | 7.59388i | 0.0199104 | − | 0.0125105i | −0.522040 | − | 0.852921i | \(-0.674829\pi\) |
0.541950 | + | 0.840410i | \(0.317686\pi\) | |||||||
\(608\) | 1453.97i | 2.39140i | ||||||||
\(609\) | −464.404 | − | 309.475i | −0.762569 | − | 0.508169i | ||||
\(610\) | −828.163 | −1.35764 | ||||||||
\(611\) | 11.7308 | + | 18.6695i | 0.0191994 | + | 0.0305557i | ||||
\(612\) | −39.7152 | + | 113.499i | −0.0648941 | + | 0.185457i | ||||
\(613\) | −210.870 | + | 437.876i | −0.343997 | + | 0.714317i | −0.999152 | − | 0.0411775i | \(-0.986889\pi\) |
0.655155 | + | 0.755495i | \(0.272603\pi\) | |||||||
\(614\) | −651.368 | − | 148.671i | −1.06086 | − | 0.242134i | ||||
\(615\) | 154.048 | − | 35.1605i | 0.250485 | − | 0.0571715i | ||||
\(616\) | 136.856 | − | 65.9065i | 0.222169 | − | 0.106991i | ||||
\(617\) | 90.2086 | − | 10.1641i | 0.146205 | − | 0.0164734i | −0.0385585 | − | 0.999256i | \(-0.512277\pi\) |
0.184764 | + | 0.982783i | \(0.440848\pi\) | |||||||
\(618\) | 337.704 | + | 269.310i | 0.546446 | + | 0.435776i | ||||
\(619\) | 357.144 | + | 1020.66i | 0.576969 | + | 1.64888i | 0.748063 | + | 0.663628i | \(0.230984\pi\) |
−0.171094 | + | 0.985255i | \(0.554730\pi\) | |||||||
\(620\) | 341.214 | + | 38.4456i | 0.550346 | + | 0.0620091i | ||||
\(621\) | 729.322 | + | 729.322i | 1.17443 | + | 1.17443i | ||||
\(622\) | 28.4795 | − | 22.7116i | 0.0457870 | − | 0.0365139i | ||||
\(623\) | −600.223 | − | 377.145i | −0.963439 | − | 0.605369i | ||||
\(624\) | 20.4902 | − | 32.6100i | 0.0328369 | − | 0.0522596i | ||||
\(625\) | −311.919 | − | 391.134i | −0.499070 | − | 0.625814i | ||||
\(626\) | −643.819 | + | 643.819i | −1.02846 | + | 1.02846i | ||||
\(627\) | −17.8373 | + | 158.311i | −0.0284487 | + | 0.252489i | ||||
\(628\) | 998.134 | − | 349.262i | 1.58939 | − | 0.556150i | ||||
\(629\) | −42.8196 | + | 53.6940i | −0.0680756 | + | 0.0853641i | ||||
\(630\) | 119.740 | + | 1062.73i | 0.190064 | + | 1.68687i | ||||
\(631\) | −36.5938 | − | 75.9878i | −0.0579933 | − | 0.120424i | 0.869958 | − | 0.493126i | \(-0.164146\pi\) |
−0.927951 | + | 0.372702i | \(0.878432\pi\) | |||||||
\(632\) | 86.8144 | + | 380.359i | 0.137365 | + | 0.601833i | ||||
\(633\) | 41.9367 | − | 183.737i | 0.0662508 | − | 0.290264i | ||||
\(634\) | −699.121 | − | 336.679i | −1.10272 | − | 0.531040i | ||||
\(635\) | −689.467 | − | 241.255i | −1.08577 | − | 0.379929i | ||||
\(636\) | −236.836 | + | 148.814i | −0.372384 | + | 0.233984i | ||||
\(637\) | − | 269.610i | − | 0.423249i | ||||||
\(638\) | −251.715 | − | 64.5985i | −0.394538 | − | 0.101252i | ||||
\(639\) | −501.693 | −0.785123 | ||||||||
\(640\) | −316.372 | − | 503.503i | −0.494331 | − | 0.786723i | ||||
\(641\) | 254.096 | − | 726.165i | 0.396406 | − | 1.13286i | −0.556827 | − | 0.830628i | \(-0.687982\pi\) |
0.953233 | − | 0.302235i | \(-0.0977328\pi\) | |||||||
\(642\) | −84.2516 | + | 174.950i | −0.131233 | + | 0.272508i | ||||
\(643\) | −511.993 | − | 116.859i | −0.796256 | − | 0.181740i | −0.195007 | − | 0.980802i | \(-0.562473\pi\) |
−0.601249 | + | 0.799062i | \(0.705330\pi\) | |||||||
\(644\) | −2623.28 | + | 598.747i | −4.07342 | + | 0.929731i | ||||
\(645\) | −12.3770 | + | 5.96043i | −0.0191891 | + | 0.00924098i | ||||
\(646\) | 357.874 | − | 40.3227i | 0.553984 | − | 0.0624190i | ||||
\(647\) | 810.314 | + | 646.204i | 1.25242 | + | 0.998769i | 0.999511 | + | 0.0312788i | \(0.00995796\pi\) |
0.252907 | + | 0.967491i | \(0.418613\pi\) | |||||||
\(648\) | 25.4196 | + | 72.6451i | 0.0392278 | + | 0.112107i | ||||
\(649\) | −27.5037 | − | 3.09892i | −0.0423786 | − | 0.00477492i | ||||
\(650\) | 26.6082 | + | 26.6082i | 0.0409357 | + | 0.0409357i | ||||
\(651\) | 209.354 | − | 166.954i | 0.321588 | − | 0.256458i | ||||
\(652\) | 178.617 | + | 112.232i | 0.273952 | + | 0.172135i | ||||
\(653\) | 172.974 | − | 275.286i | 0.264891 | − | 0.421571i | −0.687623 | − | 0.726068i | \(-0.741346\pi\) |
0.952513 | + | 0.304497i | \(0.0984885\pi\) | |||||||
\(654\) | −346.216 | − | 434.141i | −0.529382 | − | 0.663824i | ||||
\(655\) | 490.448 | − | 490.448i | 0.748776 | − | 0.748776i | ||||
\(656\) | 20.0446 | − | 177.900i | 0.0305557 | − | 0.271190i | ||||
\(657\) | 463.354 | − | 162.134i | 0.705257 | − | 0.246780i | ||||
\(658\) | 175.214 | − | 219.711i | 0.266282 | − | 0.333908i | ||||
\(659\) | −74.6830 | − | 662.830i | −0.113328 | − | 1.00581i | −0.913723 | − | 0.406339i | \(-0.866805\pi\) |
0.800395 | − | 0.599473i | \(-0.204623\pi\) | |||||||
\(660\) | −50.3588 | − | 104.571i | −0.0763013 | − | 0.158441i | ||||
\(661\) | 156.741 | + | 686.726i | 0.237127 | + | 1.03892i | 0.943576 | + | 0.331156i | \(0.107439\pi\) |
−0.706450 | + | 0.707763i | \(0.749704\pi\) | |||||||
\(662\) | −108.043 | + | 473.367i | −0.163207 | + | 0.715056i | ||||
\(663\) | −14.4639 | − | 6.96545i | −0.0218158 | − | 0.0105060i | ||||
\(664\) | 194.184 | + | 67.9481i | 0.292446 | + | 0.102331i | ||||
\(665\) | 1560.30 | − | 980.399i | 2.34631 | − | 1.47428i | ||||
\(666\) | 389.689i | 0.585119i | ||||||||
\(667\) | 1071.58 | + | 551.911i | 1.60656 | + | 0.827453i | ||||
\(668\) | 101.789 | 0.152378 | ||||||||
\(669\) | −216.879 | − | 345.161i | −0.324184 | − | 0.515936i | ||||
\(670\) | 267.926 | − | 765.689i | 0.399890 | − | 1.14282i | ||||
\(671\) | −75.0705 | + | 155.885i | −0.111878 | + | 0.232318i | ||||
\(672\) | −805.346 | − | 183.815i | −1.19843 | − | 0.273534i | ||||
\(673\) | −764.739 | + | 174.547i | −1.13631 | + | 0.259356i | −0.748986 | − | 0.662586i | \(-0.769459\pi\) |
−0.387328 | + | 0.921942i | \(0.626602\pi\) | |||||||
\(674\) | 1707.98 | − | 822.521i | 2.53410 | − | 1.22036i | ||||
\(675\) | −105.102 | + | 11.8422i | −0.155707 | + | 0.0175440i | ||||
\(676\) | −680.935 | − | 543.028i | −1.00730 | − | 0.803295i | ||||
\(677\) | 145.674 | + | 416.312i | 0.215176 | + | 0.614937i | 0.999988 | − | 0.00479615i | \(-0.00152667\pi\) |
−0.784813 | + | 0.619733i | \(0.787241\pi\) | |||||||
\(678\) | 170.463 | + | 19.2066i | 0.251421 | + | 0.0283283i | ||||
\(679\) | −1071.28 | − | 1071.28i | −1.57774 | − | 1.57774i | ||||
\(680\) | −53.7123 | + | 42.8341i | −0.0789887 | + | 0.0629913i | ||||
\(681\) | 131.537 | + | 82.6503i | 0.193153 | + | 0.121366i | ||||
\(682\) | 66.3398 | − | 105.579i | 0.0972724 | − | 0.154808i | ||||
\(683\) | 158.493 | + | 198.744i | 0.232054 | + | 0.290986i | 0.884202 | − | 0.467106i | \(-0.154703\pi\) |
−0.652148 | + | 0.758092i | \(0.726132\pi\) | |||||||
\(684\) | 831.323 | − | 831.323i | 1.21538 | − | 1.21538i | ||||
\(685\) | 27.5863 | − | 244.835i | 0.0402720 | − | 0.357424i | ||||
\(686\) | −1547.67 | + | 541.552i | −2.25607 | + | 0.789434i | ||||
\(687\) | 60.5652 | − | 75.9464i | 0.0881590 | − | 0.110548i | ||||
\(688\) | 1.74268 | + | 15.4667i | 0.00253296 | + | 0.0224806i | ||||
\(689\) | 39.9960 | + | 83.0525i | 0.0580493 | + | 0.120541i | ||||
\(690\) | 208.218 | + | 912.263i | 0.301765 | + | 1.32212i | ||||
\(691\) | −100.393 | + | 439.849i | −0.145286 | + | 0.636539i | 0.848871 | + | 0.528599i | \(0.177283\pi\) |
−0.994157 | + | 0.107940i | \(0.965575\pi\) | |||||||
\(692\) | 1058.51 | + | 509.751i | 1.52964 | + | 0.736635i | ||||
\(693\) | 210.892 | + | 73.7942i | 0.304317 | + | 0.106485i | ||||
\(694\) | 508.975 | − | 319.810i | 0.733394 | − | 0.460822i | ||||
\(695\) | 209.492i | 0.301427i | ||||||||
\(696\) | −122.522 | − | 162.384i | −0.176037 | − | 0.233311i | ||||
\(697\) | −74.6249 | −0.107066 | ||||||||
\(698\) | −572.808 | − | 911.619i | −0.820642 | − | 1.30604i | ||||
\(699\) | 50.4171 | − | 144.084i | 0.0721274 | − | 0.206128i | ||||
\(700\) | 119.719 | − | 248.599i | 0.171027 | − | 0.355141i | ||||
\(701\) | 391.700 | + | 89.4029i | 0.558773 | + | 0.127536i | 0.492574 | − | 0.870270i | \(-0.336056\pi\) |
0.0661981 | + | 0.997806i | \(0.478913\pi\) | |||||||
\(702\) | −213.593 | + | 48.7512i | −0.304263 | + | 0.0694461i | ||||
\(703\) | 604.968 | − | 291.337i | 0.860552 | − | 0.414420i | ||||
\(704\) | −285.783 | + | 32.2000i | −0.405941 | + | 0.0457386i | ||||
\(705\) | −43.9580 | − | 35.0554i | −0.0623518 | − | 0.0497239i | ||||
\(706\) | 339.906 | + | 971.396i | 0.481454 | + | 1.37592i | ||||
\(707\) | −834.599 | − | 94.0367i | −1.18048 | − | 0.133008i | ||||
\(708\) | −58.5078 | − | 58.5078i | −0.0826381 | − | 0.0826381i | ||||
\(709\) | −587.061 | + | 468.165i | −0.828012 | + | 0.660318i | −0.942906 | − | 0.333060i | \(-0.891919\pi\) |
0.114893 | + | 0.993378i | \(0.463347\pi\) | |||||||
\(710\) | −926.886 | − | 582.401i | −1.30547 | − | 0.820283i | ||||
\(711\) | −305.312 | + | 485.902i | −0.429413 | + | 0.683406i | ||||
\(712\) | −161.103 | − | 202.017i | −0.226269 | − | 0.283732i | ||||
\(713\) | −408.956 | + | 408.956i | −0.573571 | + | 0.573571i | ||||
\(714\) | −22.9089 | + | 203.322i | −0.0320852 | + | 0.284764i | ||||
\(715\) | −36.1042 | + | 12.6334i | −0.0504954 | + | 0.0176691i | ||||
\(716\) | 223.685 | − | 280.492i | 0.312409 | − | 0.391748i | ||||
\(717\) | 18.4355 | + | 163.619i | 0.0257119 | + | 0.228200i | ||||
\(718\) | 441.982 | + | 917.785i | 0.615574 | + | 1.27825i | ||||
\(719\) | 147.275 | + | 645.255i | 0.204834 | + | 0.897434i | 0.967944 | + | 0.251166i | \(0.0808141\pi\) |
−0.763110 | + | 0.646268i | \(0.776329\pi\) | |||||||
\(720\) | 53.9448 | − | 236.348i | 0.0749234 | − | 0.328261i | ||||
\(721\) | −940.433 | − | 452.889i | −1.30435 | − | 0.628140i | ||||
\(722\) | −2277.76 | − | 797.024i | −3.15480 | − | 1.10391i | ||||
\(723\) | −502.997 | + | 316.054i | −0.695708 | + | 0.437142i | ||||
\(724\) | − | 190.076i | − | 0.262536i | ||||||
\(725\) | −112.761 | + | 50.6248i | −0.155532 | + | 0.0698273i | ||||
\(726\) | 556.036 | 0.765890 | ||||||||
\(727\) | −43.7196 | − | 69.5794i | −0.0601370 | − | 0.0957075i | 0.815302 | − | 0.579035i | \(-0.196571\pi\) |
−0.875439 | + | 0.483328i | \(0.839428\pi\) | |||||||
\(728\) | 49.4278 | − | 141.257i | 0.0678954 | − | 0.194034i | ||||
\(729\) | 106.974 | − | 222.133i | 0.146741 | − | 0.304710i | ||||
\(730\) | 1044.27 | + | 238.348i | 1.43051 | + | 0.326504i | ||||
\(731\) | 6.32523 | − | 1.44369i | 0.00865285 | − | 0.00197496i | ||||
\(732\) | −466.019 | + | 224.423i | −0.636638 | + | 0.306589i | ||||
\(733\) | 531.014 | − | 59.8309i | 0.724440 | − | 0.0816248i | 0.257959 | − | 0.966156i | \(-0.416950\pi\) |
0.466481 | + | 0.884531i | \(0.345522\pi\) | |||||||
\(734\) | 785.475 | + | 626.395i | 1.07013 | + | 0.853400i | ||||
\(735\) | 227.065 | + | 648.914i | 0.308932 | + | 0.882876i | ||||
\(736\) | 1772.94 | + | 199.763i | 2.40889 | + | 0.271416i | ||||
\(737\) | −119.839 | − | 119.839i | −0.162604 | − | 0.162604i | ||||
\(738\) | −331.056 | + | 264.009i | −0.448586 | + | 0.357735i | ||||
\(739\) | −592.189 | − | 372.097i | −0.801338 | − | 0.503514i | 0.0680274 | − | 0.997683i | \(-0.478329\pi\) |
−0.869366 | + | 0.494169i | \(0.835472\pi\) | |||||||
\(740\) | −260.263 | + | 414.207i | −0.351707 | + | 0.559739i | ||||
\(741\) | 97.8621 | + | 122.715i | 0.132068 | + | 0.165608i | ||||
\(742\) | 830.760 | − | 830.760i | 1.11962 | − | 1.11962i | ||||
\(743\) | 90.3001 | − | 801.435i | 0.121534 | − | 1.07865i | −0.773855 | − | 0.633363i | \(-0.781674\pi\) |
0.895389 | − | 0.445284i | \(-0.146897\pi\) | |||||||
\(744\) | 92.1280 | − | 32.2370i | 0.123828 | − | 0.0433293i | ||||
\(745\) | −649.021 | + | 813.846i | −0.871169 | + | 1.09241i | ||||
\(746\) | −141.114 | − | 1252.42i | −0.189161 | − | 1.67885i | ||||
\(747\) | 131.297 | + | 272.641i | 0.175766 | + | 0.364982i | ||||
\(748\) | 12.1976 | + | 53.4410i | 0.0163069 | + | 0.0714451i | ||||
\(749\) | 104.417 | − | 457.481i | 0.139408 | − | 0.610788i | ||||
\(750\) | −593.536 | − | 285.832i | −0.791381 | − | 0.381109i | ||||
\(751\) | 45.2480 | + | 15.8329i | 0.0602503 | + | 0.0210825i | 0.360236 | − | 0.932861i | \(-0.382696\pi\) |
−0.299986 | + | 0.953944i | \(0.596982\pi\) | |||||||
\(752\) | −53.9385 | + | 33.8918i | −0.0717268 | + | 0.0450689i | ||||
\(753\) | 590.862i | 0.784677i | ||||||||
\(754\) | −220.363 | + | 130.356i | −0.292258 | + | 0.172886i | ||||
\(755\) | −383.151 | −0.507485 | ||||||||
\(756\) | 854.693 | + | 1360.24i | 1.13055 | + | 1.79925i | ||||
\(757\) | 241.576 | − | 690.385i | 0.319123 | − | 0.912002i | −0.666864 | − | 0.745180i | \(-0.732364\pi\) |
0.985987 | − | 0.166822i | \(-0.0533506\pi\) | |||||||
\(758\) | 494.555 | − | 1026.95i | 0.652448 | − | 1.35482i | ||||
\(759\) | 190.590 | + | 43.5009i | 0.251107 | + | 0.0573135i | ||||
\(760\) | 654.851 | − | 149.465i | 0.861646 | − | 0.196665i | ||||
\(761\) | −152.528 | + | 73.4534i | −0.200431 | + | 0.0965222i | −0.531407 | − | 0.847117i | \(-0.678336\pi\) |
0.330976 | + | 0.943639i | \(0.392622\pi\) | |||||||
\(762\) | −787.995 | + | 88.7857i | −1.03411 | + | 0.116517i | ||||
\(763\) | 1049.12 | + | 836.648i | 1.37500 | + | 1.09652i | ||||
\(764\) | 253.538 | + | 724.571i | 0.331856 | + | 0.948391i | ||||
\(765\) | −100.417 | − | 11.3143i | −0.131264 | − | 0.0147899i | ||||
\(766\) | 932.589 | + | 932.589i | 1.21748 | + | 1.21748i | ||||
\(767\) | −21.3196 | + | 17.0018i | −0.0277961 | + | 0.0221666i | ||||
\(768\) | −9.24039 | − | 5.80612i | −0.0120318 | − | 0.00756006i | ||||
\(769\) | −247.966 | + | 394.636i | −0.322453 | + | 0.513180i | −0.968136 | − | 0.250425i | \(-0.919430\pi\) |
0.645683 | + | 0.763605i | \(0.276573\pi\) | |||||||
\(770\) | 303.960 | + | 381.154i | 0.394753 | + | 0.495005i | ||||
\(771\) | −440.469 | + | 440.469i | −0.571296 | + | 0.571296i | ||||
\(772\) | −17.8699 | + | 158.600i | −0.0231475 | + | 0.205440i | ||||
\(773\) | −1232.54 | + | 431.285i | −1.59449 | + | 0.557937i | −0.974053 | − | 0.226318i | \(-0.927331\pi\) |
−0.620439 | + | 0.784255i | \(0.713045\pi\) | |||||||
\(774\) | 22.9529 | − | 28.7821i | 0.0296550 | − | 0.0371861i | ||||
\(775\) | −6.64032 | − | 58.9345i | −0.00856815 | − | 0.0760445i | ||||
\(776\) | −239.606 | − | 497.547i | −0.308770 | − | 0.641169i | ||||
\(777\) | 84.8882 | + | 371.920i | 0.109251 | + | 0.478661i | ||||
\(778\) | 252.666 | − | 1107.00i | 0.324764 | − | 1.42288i | ||||
\(779\) | 657.359 | + | 316.568i | 0.843850 | + | 0.406377i | ||||
\(780\) | −107.933 | − | 37.7675i | −0.138376 | − | 0.0484199i | ||||
\(781\) | −193.645 | + | 121.675i | −0.247945 | + | 0.155794i | ||||
\(782\) | − | 441.923i | − | 0.565119i | ||||||
\(783\) | 99.7171 | − | 712.698i | 0.127353 | − | 0.910214i | ||||
\(784\) | 778.935 | 0.993539 | ||||||||
\(785\) | 472.802 | + | 752.460i | 0.602295 | + | 0.958548i | ||||
\(786\) | 248.689 | − | 710.713i | 0.316398 | − | 0.904215i | ||||
\(787\) | 148.519 | − | 308.402i | 0.188715 | − | 0.391871i | −0.785048 | − | 0.619435i | \(-0.787362\pi\) |
0.973763 | + | 0.227564i | \(0.0730761\pi\) | |||||||
\(788\) | 672.637 | + | 153.525i | 0.853600 | + | 0.194829i | ||||
\(789\) | 534.872 | − | 122.081i | 0.677911 | − | 0.154729i | ||||
\(790\) | −1128.14 | + | 543.283i | −1.42802 | + | 0.687700i | ||||
\(791\) | −411.933 | + | 46.4137i | −0.520775 | + | 0.0586772i | ||||
\(792\) | 63.6735 | + | 50.7779i | 0.0803959 | + | 0.0641136i | ||||
\(793\) | 56.3005 | + | 160.898i | 0.0709969 | + | 0.202897i | ||||
\(794\) | 457.566 | + | 51.5554i | 0.576280 | + | 0.0649312i | ||||
\(795\) | −166.212 | − | 166.212i | −0.209071 | − | 0.209071i | ||||
\(796\) | −1283.06 | + | 1023.21i | −1.61189 | + | 1.28544i | ||||
\(797\) | 110.748 | + | 69.5877i | 0.138956 | + | 0.0873120i | 0.599716 | − | 0.800213i | \(-0.295280\pi\) |
−0.460760 | + | 0.887525i | \(0.652423\pi\) | |||||||
\(798\) | 1064.32 | − | 1693.85i | 1.33373 | − | 2.12262i | ||||
\(799\) | 16.5559 | + | 20.7605i | 0.0207208 | + | 0.0259831i | ||||
\(800\) | −129.371 | + | 129.371i | −0.161713 | + | 0.161713i | ||||
\(801\) | 42.5541 | − | 377.678i | 0.0531262 | − | 0.471508i | ||||
\(802\) | −684.232 | + | 239.423i | −0.853157 | + | 0.298533i | ||||
\(803\) | 139.524 | − | 174.958i | 0.173754 | − | 0.217880i | ||||
\(804\) | −56.7273 | − | 503.469i | −0.0705564 | − | 0.626205i | ||||
\(805\) | −981.107 | − | 2037.29i | −1.21877 | − | 2.53079i | ||||
\(806\) | −27.3365 | − | 119.769i | −0.0339162 | − | 0.148597i | ||||
\(807\) | 25.9184 | − | 113.556i | 0.0321170 | − | 0.140714i | ||||
\(808\) | −275.824 | − | 132.830i | −0.341366 | − | 0.164393i | ||||
\(809\) | 533.286 | + | 186.605i | 0.659192 | + | 0.230661i | 0.639084 | − | 0.769137i | \(-0.279313\pi\) |
0.0201076 | + | 0.999798i | \(0.493599\pi\) | |||||||
\(810\) | −209.152 | + | 131.419i | −0.258212 | + | 0.162246i | ||||
\(811\) | 993.150i | 1.22460i | 0.790626 | + | 0.612299i | \(0.209755\pi\) | ||||
−0.790626 | + | 0.612299i | \(0.790245\pi\) | |||||||
\(812\) | 1435.89 | + | 1209.46i | 1.76834 | + | 1.48948i | ||||
\(813\) | 539.913 | 0.664099 | ||||||||
\(814\) | 94.5110 | + | 150.413i | 0.116107 | + | 0.184783i | ||||
\(815\) | −58.5507 | + | 167.328i | −0.0718414 | + | 0.205311i | ||||
\(816\) | 20.1240 | − | 41.7880i | 0.0246618 | − | 0.0512107i | ||||
\(817\) | −61.8423 | − | 14.1151i | −0.0756944 | − | 0.0172768i | ||||
\(818\) | −118.295 | + | 27.0001i | −0.144615 | + | 0.0330075i | ||||
\(819\) | 198.329 | − | 95.5102i | 0.242160 | − | 0.116618i | ||||
\(820\) | −528.209 | + | 59.5149i | −0.644158 | + | 0.0725792i | ||||
\(821\) | −1213.23 | − | 967.523i | −1.47775 | − | 1.17847i | −0.942696 | − | 0.333652i | \(-0.891719\pi\) |
−0.535056 | − | 0.844816i | \(-0.679710\pi\) | |||||||
\(822\) | −88.3409 | − | 252.464i | −0.107471 | − | 0.307134i | ||||
\(823\) | −862.029 | − | 97.1274i | −1.04742 | − | 0.118016i | −0.428559 | − | 0.903514i | \(-0.640979\pi\) |
−0.618865 | + | 0.785498i | \(0.712407\pi\) | |||||||
\(824\) | −269.035 | − | 269.035i | −0.326498 | − | 0.326498i | ||||
\(825\) | −15.6732 | + | 12.4989i | −0.0189978 | + | 0.0151502i | ||||
\(826\) | 294.276 | + | 184.906i | 0.356267 | + | 0.223857i | ||||
\(827\) | −409.943 | + | 652.420i | −0.495698 | + | 0.788899i | −0.997083 | − | 0.0763251i | \(-0.975681\pi\) |
0.501385 | + | 0.865224i | \(0.332824\pi\) | |||||||
\(828\) | −899.481 | − | 1127.91i | −1.08633 | − | 1.36221i | ||||
\(829\) | 862.319 | − | 862.319i | 1.04019 | − | 1.04019i | 0.0410337 | − | 0.999158i | \(-0.486935\pi\) |
0.999158 | − | 0.0410337i | \(-0.0130651\pi\) | |||||||
\(830\) | −73.9279 | + | 656.128i | −0.0890697 | + | 0.790516i | ||||
\(831\) | −456.432 | + | 159.713i | −0.549257 | + | 0.192193i | ||||
\(832\) | −176.661 | + | 221.526i | −0.212333 | + | 0.266257i | ||||
\(833\) | −36.3537 | − | 322.648i | −0.0436419 | − | 0.387333i | ||||
\(834\) | 98.6751 | + | 204.901i | 0.118315 | + | 0.245685i | ||||
\(835\) | 19.0345 | + | 83.3956i | 0.0227958 | + | 0.0998749i | ||||
\(836\) | 119.257 | − | 522.497i | 0.142651 | − | 0.624996i | ||||
\(837\) | 311.101 | + | 149.819i | 0.371686 | + | 0.178995i | ||||
\(838\) | −1818.55 | − | 636.337i | −2.17010 | − | 0.759351i | ||||
\(839\) | −1047.00 | + | 657.873i | −1.24791 | + | 0.784116i | −0.983607 | − | 0.180323i | \(-0.942286\pi\) |
−0.264306 | + | 0.964439i | \(0.585143\pi\) | |||||||
\(840\) | 381.614i | 0.454302i | ||||||||
\(841\) | −142.924 | − | 828.766i | −0.169945 | − | 0.985454i | ||||
\(842\) | 1089.06 | 1.29342 | ||||||||
\(843\) | −291.670 | − | 464.191i | −0.345991 | − | 0.550642i | ||||
\(844\) | −209.395 | + | 598.417i | −0.248098 | + | 0.709024i | ||||
\(845\) | 317.568 | − | 659.437i | 0.375820 | − | 0.780399i | ||||
\(846\) | 146.893 | + | 33.5275i | 0.173633 | + | 0.0396306i | ||||
\(847\) | −1310.00 | + | 298.999i | −1.54663 | + | 0.353009i | ||||
\(848\) | −239.949 | + | 115.553i | −0.282959 | + | 0.136266i | ||||
\(849\) | 159.771 | − | 18.0019i | 0.188187 | − | 0.0212036i | ||||
\(850\) | 35.4305 | + | 28.2548i | 0.0416829 | + | 0.0332410i | ||||
\(851\) | −272.133 | − | 777.712i | −0.319780 | − | 0.913880i | ||||
\(852\) | −679.397 | − | 76.5496i | −0.797414 | − | 0.0898470i | ||||
\(853\) | −554.406 | − | 554.406i | −0.649948 | − | 0.649948i | 0.303032 | − | 0.952980i | \(-0.402001\pi\) |
−0.952980 | + | 0.303032i | \(0.902001\pi\) | |||||||
\(854\) | 1698.60 | − | 1354.59i | 1.98900 | − | 1.58617i | ||||
\(855\) | 836.561 | + | 525.646i | 0.978434 | + | 0.614791i | ||||
\(856\) | 91.0003 | − | 144.826i | 0.106309 | − | 0.169189i | ||||
\(857\) | −362.365 | − | 454.392i | −0.422830 | − | 0.530212i | 0.524098 | − | 0.851658i | \(-0.324403\pi\) |
−0.946928 | + | 0.321446i | \(0.895831\pi\) | |||||||
\(858\) | −29.3624 | + | 29.3624i | −0.0342220 | + | 0.0342220i | ||||
\(859\) | 7.77894 | − | 69.0400i | 0.00905581 | − | 0.0803725i | −0.988371 | − | 0.152059i | \(-0.951410\pi\) |
0.997427 | + | 0.0716866i | \(0.0228381\pi\) | |||||||
\(860\) | 43.6198 | − | 15.2632i | 0.0507208 | − | 0.0177480i | ||||
\(861\) | −258.450 | + | 324.086i | −0.300174 | + | 0.376407i | ||||
\(862\) | 165.255 | + | 1466.68i | 0.191711 | + | 1.70148i | ||||
\(863\) | 387.142 | + | 803.910i | 0.448601 | + | 0.931529i | 0.995539 | + | 0.0943559i | \(0.0300792\pi\) |
−0.546938 | + | 0.837173i | \(0.684207\pi\) | |||||||
\(864\) | −237.031 | − | 1038.50i | −0.274341 | − | 1.20197i | ||||
\(865\) | −219.698 | + | 962.561i | −0.253986 | + | 1.11279i | ||||
\(866\) | −835.509 | − | 402.360i | −0.964791 | − | 0.464619i | ||||
\(867\) | 421.157 | + | 147.369i | 0.485763 | + | 0.169976i | ||||
\(868\) | −762.732 | + | 479.256i | −0.878723 | + | 0.552138i | ||||
\(869\) | 261.597i | 0.301032i | ||||||||
\(870\) | 420.598 | − | 499.340i | 0.483445 | − | 0.573954i | ||||
\(871\) | −166.974 | −0.191704 | ||||||||
\(872\) | 260.229 | + | 414.152i | 0.298428 | + | 0.474945i | ||||
\(873\) | 268.282 | − | 766.705i | 0.307310 | − | 0.878242i | ||||
\(874\) | −1874.69 | + | 3892.84i | −2.14496 | + | 4.45405i | ||||
\(875\) | 1552.05 | + | 354.245i | 1.77377 | + | 0.404851i | ||||
\(876\) | 652.216 | − | 148.864i | 0.744538 | − | 0.169936i | ||||
\(877\) | 1395.06 | − | 671.826i | 1.59072 | − | 0.766051i | 0.591530 | − | 0.806283i | \(-0.298524\pi\) |
0.999190 | + | 0.0402322i | \(0.0128098\pi\) | |||||||
\(878\) | −428.087 | + | 48.2339i | −0.487571 | + | 0.0549361i | ||||
\(879\) | 235.314 | + | 187.657i | 0.267707 | + | 0.213489i | ||||
\(880\) | −36.4994 | − | 104.309i | −0.0414766 | − | 0.118533i | ||||
\(881\) | 566.141 | + | 63.7888i | 0.642612 | + | 0.0724050i | 0.427256 | − | 0.904131i | \(-0.359480\pi\) |
0.215356 | + | 0.976536i | \(0.430909\pi\) | |||||||
\(882\) | −1302.74 | − | 1302.74i | −1.47703 | − | 1.47703i | ||||
\(883\) | 957.430 | − | 763.525i | 1.08429 | − | 0.864694i | 0.0929071 | − | 0.995675i | \(-0.470384\pi\) |
0.991385 | + | 0.130981i | \(0.0418126\pi\) | |||||||
\(884\) | 45.7277 | + | 28.7326i | 0.0517281 | + | 0.0325029i | ||||
\(885\) | 36.9945 | − | 58.8764i | 0.0418017 | − | 0.0665270i | ||||
\(886\) | 876.107 | + | 1098.60i | 0.988834 | + | 1.23996i | ||||
\(887\) | 105.074 | − | 105.074i | 0.118460 | − | 0.118460i | −0.645392 | − | 0.763852i | \(-0.723306\pi\) |
0.763852 | + | 0.645392i | \(0.223306\pi\) | |||||||
\(888\) | −15.5690 | + | 138.179i | −0.0175327 | + | 0.155607i | ||||
\(889\) | 1808.74 | − | 632.906i | 2.03458 | − | 0.711930i | ||||
\(890\) | 517.055 | − | 648.366i | 0.580960 | − | 0.728501i | ||||
\(891\) | 5.77804 | + | 51.2815i | 0.00648489 | + | 0.0575550i | ||||
\(892\) | 594.997 | + | 1235.52i | 0.667037 | + | 1.38512i | ||||
\(893\) | −57.7703 | − | 253.108i | −0.0646924 | − | 0.283436i | ||||
\(894\) | −251.459 | + | 1101.71i | −0.281274 | + | 1.23234i | ||||
\(895\) | 271.636 | + | 130.813i | 0.303504 | + | 0.146160i | ||||
\(896\) | 1472.45 | + | 515.234i | 1.64336 | + | 0.575037i | ||||
\(897\) | 163.082 | − | 102.471i | 0.181808 | − | 0.114237i | ||||
\(898\) | − | 1529.82i | − | 1.70359i | ||||||
\(899\) | 399.635 | + | 55.9149i | 0.444532 | + | 0.0621967i | ||||
\(900\) | 147.938 | 0.164375 | ||||||||
\(901\) | 59.0628 | + | 93.9979i | 0.0655525 | + | 0.104326i | ||||
\(902\) | −63.7523 | + | 182.194i | −0.0706789 | + | 0.201989i | ||||
\(903\) | 15.6365 | − | 32.4696i | 0.0173162 | − | 0.0359575i | ||||
\(904\) | −147.314 | − | 33.6234i | −0.162958 | − | 0.0371940i | ||||
\(905\) | 155.729 | − | 35.5442i | 0.172077 | − | 0.0392754i | ||||
\(906\) | −374.755 | + | 180.473i | −0.413637 | + | 0.199197i | ||||
\(907\) | 64.5156 | − | 7.26917i | 0.0711308 | − | 0.00801452i | −0.0763273 | − | 0.997083i | \(-0.524319\pi\) |
0.147458 | + | 0.989068i | \(0.452891\pi\) | |||||||
\(908\) | −408.584 | − | 325.835i | −0.449982 | − | 0.358849i | ||||
\(909\) | −148.727 | − | 425.037i | −0.163616 | − | 0.467587i | ||||
\(910\) | 477.291 | + | 53.7778i | 0.524496 | + | 0.0590965i | ||||
\(911\) | 50.2732 | + | 50.2732i | 0.0551846 | + | 0.0551846i | 0.734161 | − | 0.678976i | \(-0.237576\pi\) |
−0.678976 | + | 0.734161i | \(0.737576\pi\) | |||||||
\(912\) | −354.539 | + | 282.735i | −0.388749 | + | 0.310017i | ||||
\(913\) | 116.802 | + | 73.3915i | 0.127932 | + | 0.0803850i | ||||
\(914\) | −15.9077 | + | 25.3169i | −0.0174045 | + | 0.0276991i | ||||
\(915\) | −271.015 | − | 339.843i | −0.296192 | − | 0.371413i | ||||
\(916\) | −231.068 | + | 231.068i | −0.252258 | + | 0.252258i | ||||
\(917\) | −203.728 | + | 1808.14i | −0.222168 | + | 1.97180i | ||||
\(918\) | −249.038 | + | 87.1421i | −0.271283 | + | 0.0949261i | ||||
\(919\) | −357.509 | + | 448.302i | −0.389020 | + | 0.487815i | −0.937322 | − | 0.348465i | \(-0.886703\pi\) |
0.548302 | + | 0.836280i | \(0.315274\pi\) | |||||||
\(920\) | −92.2843 | − | 819.046i | −0.100309 | − | 0.890268i | ||||
\(921\) | −152.152 | − | 315.946i | −0.165203 | − | 0.343047i | ||||
\(922\) | −532.660 | − | 2333.74i | −0.577723 | − | 2.53117i | ||||
\(923\) | −50.1385 | + | 219.671i | −0.0543212 | + | 0.237997i | ||||
\(924\) | 274.331 | + | 132.111i | 0.296895 | + | 0.142977i | ||||
\(925\) | 79.7508 | + | 27.9060i | 0.0862171 | + | 0.0301687i | ||||
\(926\) | 56.5884 | − | 35.5568i | 0.0611106 | − | 0.0383983i | ||||
\(927\) | − | 559.640i | − | 0.603711i | ||||||
\(928\) | −633.800 | − | 1071.42i | −0.682974 | − | 1.15454i | ||||
\(929\) | −627.487 | −0.675444 | −0.337722 | − | 0.941246i | \(-0.609656\pi\) | ||||
−0.337722 | + | 0.941246i | \(0.609656\pi\) | |||||||
\(930\) | 166.664 | + | 265.245i | 0.179209 | + | 0.285210i | ||||
\(931\) | −1048.48 | + | 2996.37i | −1.12618 | + | 3.21845i | ||||
\(932\) | −222.808 | + | 462.666i | −0.239065 | + | 0.496423i | ||||
\(933\) | 18.6398 | + | 4.25441i | 0.0199783 | + | 0.00455992i | ||||
\(934\) | 854.079 | − | 194.938i | 0.914432 | − | 0.208713i | ||||
\(935\) | −41.5033 | + | 19.9869i | −0.0443885 | + | 0.0213764i | ||||
\(936\) | 79.7337 | − | 8.98383i | 0.0851856 | − | 0.00959811i | ||||
\(937\) | 566.153 | + | 451.492i | 0.604219 | + | 0.481848i | 0.877170 | − | 0.480180i | \(-0.159428\pi\) |
−0.272952 | + | 0.962028i | \(0.588000\pi\) | |||||||
\(938\) | 702.875 | + | 2008.70i | 0.749334 | + | 2.14147i | ||||
\(939\) | −474.885 | − | 53.5067i | −0.505735 | − | 0.0569826i | ||||
\(940\) | 133.743 | + | 133.743i | 0.142280 | + | 0.142280i | ||||
\(941\) | −882.450 | + | 703.730i | −0.937779 | + | 0.747854i | −0.967807 | − | 0.251695i | \(-0.919012\pi\) |
0.0300275 | + | 0.999549i | \(0.490441\pi\) | |||||||
\(942\) | 816.866 | + | 513.271i | 0.867161 | + | 0.544874i | ||||
\(943\) | 476.331 | − | 758.076i | 0.505123 | − | 0.803898i | ||||
\(944\) | −49.1203 | − | 61.5949i | −0.0520342 | − | 0.0652488i | ||||
\(945\) | −954.615 | + | 954.615i | −1.01017 | + | 1.01017i | ||||
\(946\) | 1.87895 | − | 16.6762i | 0.00198621 | − | 0.0176281i | ||||
\(947\) | 1457.95 | − | 510.160i | 1.53955 | − | 0.538711i | 0.578642 | − | 0.815582i | \(-0.303583\pi\) |
0.960907 | + | 0.276871i | \(0.0892973\pi\) | |||||||
\(948\) | −487.596 | + | 611.426i | −0.514342 | + | 0.644965i | ||||
\(949\) | −24.6852 | − | 219.087i | −0.0260118 | − | 0.230861i | ||||
\(950\) | −192.241 | − | 399.193i | −0.202359 | − | 0.420203i | ||||
\(951\) | −90.6281 | − | 397.068i | −0.0952977 | − | 0.417526i | ||||
\(952\) | 40.1046 | − | 175.710i | 0.0421267 | − | 0.184569i | ||||
\(953\) | −1087.83 | − | 523.870i | −1.14148 | − | 0.549707i | −0.235015 | − | 0.971992i | \(-0.575514\pi\) |
−0.906463 | + | 0.422285i | \(0.861228\pi\) | |||||||
\(954\) | 594.565 | + | 208.047i | 0.623234 | + | 0.218079i | ||||
\(955\) | −546.230 | + | 343.219i | −0.571968 | + | 0.359392i | ||||
\(956\) | − | 553.905i | − | 0.579398i | ||||||
\(957\) | −55.8650 | − | 124.433i | −0.0583751 | − | 0.130024i | ||||
\(958\) | −2253.42 | −2.35222 | ||||||||
\(959\) | 343.886 | + | 547.291i | 0.358588 | + | 0.570689i | ||||
\(960\) | 238.630 | − | 681.966i | 0.248573 | − | 0.710381i | ||||
\(961\) | 332.954 | − | 691.386i | 0.346466 | − | 0.719444i | ||||
\(962\) | 170.629 | + | 38.9449i | 0.177369 | + | 0.0404833i | ||||
\(963\) | 245.281 | − | 55.9837i | 0.254705 | − | 0.0581347i | ||||
\(964\) | 1800.51 | − | 867.078i | 1.86775 | − | 0.899459i | ||||
\(965\) | −133.282 | + | 15.0173i | −0.138116 | + | 0.0155620i | ||||
\(966\) | −1919.22 | − | 1530.52i | −1.98677 | − | 1.58439i | ||||
\(967\) | −529.706 | − | 1513.81i | −0.547783 | − | 1.56547i | −0.801375 | − | 0.598163i | \(-0.795898\pi\) |
0.253592 | − | 0.967311i | \(-0.418388\pi\) | |||||||
\(968\) | −486.703 | − | 54.8382i | −0.502792 | − | 0.0566511i | ||||
\(969\) | 133.661 | + | 133.661i | 0.137937 | + | 0.137937i | ||||
\(970\) | 1385.70 | − | 1105.06i | 1.42856 | − | 1.13924i | ||||
\(971\) | −827.123 | − | 519.716i | −0.851826 | − | 0.535238i | 0.0339110 | − | 0.999425i | \(-0.489204\pi\) |
−0.885737 | + | 0.464187i | \(0.846347\pi\) | |||||||
\(972\) | −725.965 | + | 1155.37i | −0.746877 | + | 1.18865i | ||||
\(973\) | −342.657 | − | 429.678i | −0.352165 | − | 0.441601i | ||||
\(974\) | −1388.71 | + | 1388.71i | −1.42578 | + | 1.42578i | ||||
\(975\) | −2.21136 | + | 19.6264i | −0.00226806 | + | 0.0201296i | ||||
\(976\) | −464.853 | + | 162.659i | −0.476283 | + | 0.166659i | ||||
\(977\) | 543.900 | − | 682.030i | 0.556705 | − | 0.698086i | −0.421240 | − | 0.906949i | \(-0.638405\pi\) |
0.977945 | + | 0.208864i | \(0.0669765\pi\) | |||||||
\(978\) | 21.5476 | + | 191.240i | 0.0220323 | + | 0.195542i | ||||
\(979\) | −75.1728 | − | 156.098i | −0.0767853 | − | 0.159446i | ||||
\(980\) | −514.637 | − | 2254.77i | −0.525140 | − | 2.30079i | ||||
\(981\) | −160.094 | + | 701.417i | −0.163195 | + | 0.715002i | ||||
\(982\) | −360.413 | − | 173.566i | −0.367020 | − | 0.176747i | ||||
\(983\) | 1119.36 | + | 391.682i | 1.13872 | + | 0.398456i | 0.832785 | − | 0.553596i | \(-0.186745\pi\) |
0.305937 | + | 0.952052i | \(0.401030\pi\) | |||||||
\(984\) | −127.936 | + | 80.3877i | −0.130017 | + | 0.0816948i | ||||
\(985\) | 579.801i | 0.588630i | ||||||||
\(986\) | −246.136 | + | 185.714i | −0.249631 | + | 0.188351i | ||||
\(987\) | 147.499 | 0.149441 | ||||||||
\(988\) | −280.921 | − | 447.084i | −0.284333 | − | 0.452514i | ||||
\(989\) | −25.7082 | + | 73.4699i | −0.0259942 | + | 0.0742871i | ||||
\(990\) | −113.410 | + | 235.498i | −0.114555 | + | 0.237877i | ||||
\(991\) | 1151.11 | + | 262.734i | 1.16157 | + | 0.265120i | 0.759510 | − | 0.650496i | \(-0.225439\pi\) |
0.402055 | + | 0.915615i | \(0.368296\pi\) | |||||||
\(992\) | 582.323 | − | 132.911i | 0.587019 | − | 0.133983i | ||||
\(993\) | −229.607 | + | 110.573i | −0.231225 | + | 0.111352i | ||||
\(994\) | 2853.70 | − | 321.535i | 2.87092 | − | 0.323476i | ||||
\(995\) | −1078.25 | − | 859.873i | −1.08367 | − | 0.864194i | ||||
\(996\) | 136.203 | + | 389.246i | 0.136750 | + | 0.390810i | ||||
\(997\) | 1215.35 | + | 136.937i | 1.21901 | + | 0.137349i | 0.697935 | − | 0.716161i | \(-0.254102\pi\) |
0.521075 | + | 0.853511i | \(0.325531\pi\) | |||||||
\(998\) | −147.577 | − | 147.577i | −0.147872 | − | 0.147872i | ||||
\(999\) | −384.604 | + | 306.711i | −0.384989 | + | 0.307018i |
(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 | 29.3.f.a.19.1 | ✓ | 48 | |
3.2 | odd | 2 | 261.3.s.a.19.4 | 48 | |||
29.26 | odd | 28 | inner | 29.3.f.a.26.1 | yes | 48 | |
87.26 | even | 28 | 261.3.s.a.55.4 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.19.1 | ✓ | 48 | 1.1 | even | 1 | trivial | |
29.3.f.a.26.1 | yes | 48 | 29.26 | odd | 28 | inner | |
261.3.s.a.19.4 | 48 | 3.2 | odd | 2 | |||
261.3.s.a.55.4 | 48 | 87.26 | even | 28 |