Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(29,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.u (of order \(8\), degree \(4\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 224.85 |
Dual form | 224.2.u.c.29.3 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.03545 | − | 0.963248i | −0.732172 | − | 0.681119i | ||||
\(3\) | 2.47594 | − | 1.02557i | 1.42948 | − | 0.592111i | 0.472259 | − | 0.881460i | \(-0.343439\pi\) |
0.957224 | + | 0.289349i | \(0.0934388\pi\) | |||||||
\(4\) | 0.144306 | + | 1.99479i | 0.0721531 | + | 0.997394i | ||||
\(5\) | −1.23251 | + | 2.97553i | −0.551193 | + | 1.33070i | 0.365390 | + | 0.930855i | \(0.380936\pi\) |
−0.916583 | + | 0.399844i | \(0.869064\pi\) | |||||||
\(6\) | −3.55158 | − | 1.32302i | −1.44993 | − | 0.540121i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | 1.77205 | − | 2.20450i | 0.626515 | − | 0.779409i | ||||
\(9\) | 2.95715 | − | 2.95715i | 0.985718 | − | 0.985718i | ||||
\(10\) | 4.14237 | − | 1.89380i | 1.30993 | − | 0.598873i | ||||
\(11\) | 5.37782 | + | 2.22756i | 1.62147 | + | 0.671636i | 0.994238 | − | 0.107195i | \(-0.0341869\pi\) |
0.627234 | + | 0.778831i | \(0.284187\pi\) | |||||||
\(12\) | 2.40308 | + | 4.79097i | 0.693709 | + | 1.38303i | ||||
\(13\) | −1.34780 | − | 3.25387i | −0.373812 | − | 0.902462i | −0.993097 | − | 0.117296i | \(-0.962577\pi\) |
0.619285 | − | 0.785166i | \(-0.287423\pi\) | |||||||
\(14\) | −0.0510532 | − | 1.41329i | −0.0136446 | − | 0.377718i | ||||
\(15\) | 8.63125i | 2.22858i | ||||||||
\(16\) | −3.95835 | + | 0.575720i | −0.989588 | + | 0.143930i | ||||
\(17\) | 1.12373i | 0.272544i | 0.990671 | + | 0.136272i | \(0.0435121\pi\) | ||||
−0.990671 | + | 0.136272i | \(0.956488\pi\) | |||||||
\(18\) | −5.91045 | + | 0.213507i | −1.39311 | + | 0.0503241i | ||||
\(19\) | −2.14294 | − | 5.17351i | −0.491623 | − | 1.18688i | −0.953894 | − | 0.300145i | \(-0.902965\pi\) |
0.462270 | − | 0.886739i | \(-0.347035\pi\) | |||||||
\(20\) | −6.11341 | − | 2.02920i | −1.36700 | − | 0.453743i | ||||
\(21\) | 2.47594 | + | 1.02557i | 0.540294 | + | 0.223797i | ||||
\(22\) | −3.42275 | − | 7.48670i | −0.729733 | − | 1.59617i | ||||
\(23\) | −1.63790 | + | 1.63790i | −0.341525 | + | 0.341525i | −0.856940 | − | 0.515415i | \(-0.827638\pi\) |
0.515415 | + | 0.856940i | \(0.327638\pi\) | |||||||
\(24\) | 2.12663 | − | 7.27556i | 0.434096 | − | 1.48512i | ||||
\(25\) | −3.79919 | − | 3.79919i | −0.759838 | − | 0.759838i | ||||
\(26\) | −1.73871 | + | 4.66748i | −0.340989 | + | 0.915368i | ||||
\(27\) | 1.21227 | − | 2.92667i | 0.233301 | − | 0.563239i | ||||
\(28\) | −1.30849 | + | 1.51257i | −0.247281 | + | 0.285848i | ||||
\(29\) | −1.95805 | + | 0.811051i | −0.363601 | + | 0.150608i | −0.557001 | − | 0.830512i | \(-0.688048\pi\) |
0.193401 | + | 0.981120i | \(0.438048\pi\) | |||||||
\(30\) | 8.31403 | − | 8.93721i | 1.51793 | − | 1.63170i | ||||
\(31\) | −0.620923 | −0.111521 | −0.0557605 | − | 0.998444i | \(-0.517758\pi\) | ||||
−0.0557605 | + | 0.998444i | \(0.517758\pi\) | |||||||
\(32\) | 4.65323 | + | 3.21675i | 0.822583 | + | 0.568646i | ||||
\(33\) | 15.5996 | 2.71555 | ||||||||
\(34\) | 1.08243 | − | 1.16356i | 0.185635 | − | 0.199549i | ||||
\(35\) | −2.97553 | + | 1.23251i | −0.502957 | + | 0.208332i | ||||
\(36\) | 6.32563 | + | 5.47216i | 1.05427 | + | 0.912026i | ||||
\(37\) | 1.28245 | − | 3.09611i | 0.210834 | − | 0.508997i | −0.782718 | − | 0.622376i | \(-0.786167\pi\) |
0.993552 | + | 0.113379i | \(0.0361674\pi\) | |||||||
\(38\) | −2.76447 | + | 7.42108i | −0.448456 | + | 1.20386i | ||||
\(39\) | −6.67412 | − | 6.67412i | −1.06872 | − | 1.06872i | ||||
\(40\) | 4.37550 | + | 7.98986i | 0.691827 | + | 1.26331i | ||||
\(41\) | −0.552778 | + | 0.552778i | −0.0863294 | + | 0.0863294i | −0.748953 | − | 0.662623i | \(-0.769443\pi\) |
0.662623 | + | 0.748953i | \(0.269443\pi\) | |||||||
\(42\) | −1.57583 | − | 3.44686i | −0.243156 | − | 0.531862i | ||||
\(43\) | −6.93125 | − | 2.87102i | −1.05701 | − | 0.437826i | −0.214619 | − | 0.976698i | \(-0.568851\pi\) |
−0.842388 | + | 0.538872i | \(0.818851\pi\) | |||||||
\(44\) | −3.66746 | + | 11.0490i | −0.552891 | + | 1.66571i | ||||
\(45\) | 5.15440 | + | 12.4438i | 0.768372 | + | 1.85502i | ||||
\(46\) | 3.27366 | − | 0.118256i | 0.482674 | − | 0.0174360i | ||||
\(47\) | − | 12.3828i | − | 1.80621i | −0.429417 | − | 0.903107i | \(-0.641281\pi\) | ||
0.429417 | − | 0.903107i | \(-0.358719\pi\) | |||||||
\(48\) | −9.21019 | + | 5.48500i | −1.32938 | + | 0.791691i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 0.274302 | + | 7.59343i | 0.0387922 | + | 1.07387i | ||||
\(51\) | 1.15246 | + | 2.78228i | 0.161376 | + | 0.389597i | ||||
\(52\) | 6.29629 | − | 3.15812i | 0.873138 | − | 0.437953i | ||||
\(53\) | −2.75692 | − | 1.14195i | −0.378692 | − | 0.156859i | 0.185214 | − | 0.982698i | \(-0.440702\pi\) |
−0.563906 | + | 0.825839i | \(0.690702\pi\) | |||||||
\(54\) | −4.07436 | + | 1.86271i | −0.554449 | + | 0.253482i | ||||
\(55\) | −13.2564 | + | 13.2564i | −1.78749 | + | 1.78749i | ||||
\(56\) | 2.81185 | − | 0.305787i | 0.375749 | − | 0.0408625i | ||||
\(57\) | −10.6116 | − | 10.6116i | −1.40553 | − | 1.40553i | ||||
\(58\) | 2.80870 | + | 1.04629i | 0.368801 | + | 0.137384i | ||||
\(59\) | −5.00009 | + | 12.0713i | −0.650957 | + | 1.57155i | 0.160435 | + | 0.987046i | \(0.448710\pi\) |
−0.811392 | + | 0.584502i | \(0.801290\pi\) | |||||||
\(60\) | −17.2175 | + | 1.24554i | −2.22277 | + | 0.160799i | ||||
\(61\) | 3.80216 | − | 1.57491i | 0.486817 | − | 0.201646i | −0.125755 | − | 0.992061i | \(-0.540135\pi\) |
0.612571 | + | 0.790415i | \(0.290135\pi\) | |||||||
\(62\) | 0.642934 | + | 0.598103i | 0.0816527 | + | 0.0759592i | ||||
\(63\) | 4.18205 | 0.526888 | ||||||||
\(64\) | −1.71965 | − | 7.81299i | −0.214957 | − | 0.976624i | ||||
\(65\) | 11.3432 | 1.40695 | ||||||||
\(66\) | −16.1526 | − | 15.0263i | −1.98825 | − | 1.84961i | ||||
\(67\) | −9.62375 | + | 3.98629i | −1.17573 | + | 0.487002i | −0.883082 | − | 0.469219i | \(-0.844536\pi\) |
−0.292646 | + | 0.956221i | \(0.594536\pi\) | |||||||
\(68\) | −2.24160 | + | 0.162161i | −0.271834 | + | 0.0196649i | ||||
\(69\) | −2.37556 | + | 5.73510i | −0.285983 | + | 0.690425i | ||||
\(70\) | 4.26822 | + | 1.58998i | 0.510150 | + | 0.190039i | ||||
\(71\) | 10.0462 | + | 10.0462i | 1.19227 | + | 1.19227i | 0.976429 | + | 0.215840i | \(0.0692491\pi\) |
0.215840 | + | 0.976429i | \(0.430751\pi\) | |||||||
\(72\) | −1.27882 | − | 11.7593i | −0.150710 | − | 1.38585i | ||||
\(73\) | 8.53603 | − | 8.53603i | 0.999067 | − | 0.999067i | −0.000932621 | − | 1.00000i | \(-0.500297\pi\) |
1.00000 | 0.000932621i | \(0.000296862\pi\) | ||||||||
\(74\) | −4.31023 | + | 1.97054i | −0.501054 | + | 0.229071i | ||||
\(75\) | −13.3029 | − | 5.51023i | −1.53608 | − | 0.636267i | ||||
\(76\) | 10.0108 | − | 5.02127i | 1.14832 | − | 0.575979i | ||||
\(77\) | 2.22756 | + | 5.37782i | 0.253854 | + | 0.612859i | ||||
\(78\) | 0.481873 | + | 13.3395i | 0.0545614 | + | 1.51041i | ||||
\(79\) | 7.40965i | 0.833651i | 0.908987 | + | 0.416825i | \(0.136857\pi\) | ||||
−0.908987 | + | 0.416825i | \(0.863143\pi\) | |||||||
\(80\) | 3.16562 | − | 12.4878i | 0.353927 | − | 1.39618i | ||||
\(81\) | 4.05662i | 0.450736i | ||||||||
\(82\) | 1.10483 | − | 0.0399106i | 0.122009 | − | 0.00440739i | ||||
\(83\) | −3.57555 | − | 8.63214i | −0.392467 | − | 0.947500i | −0.989401 | − | 0.145209i | \(-0.953614\pi\) |
0.596934 | − | 0.802291i | \(-0.296386\pi\) | |||||||
\(84\) | −1.68849 | + | 5.08696i | −0.184230 | + | 0.555033i | ||||
\(85\) | −3.34369 | − | 1.38500i | −0.362674 | − | 0.150224i | ||||
\(86\) | 4.41145 | + | 9.64931i | 0.475699 | + | 1.04051i | ||||
\(87\) | −4.01622 | + | 4.01622i | −0.430584 | + | 0.430584i | ||||
\(88\) | 14.4404 | − | 7.90804i | 1.53936 | − | 0.843000i | ||||
\(89\) | −9.02149 | − | 9.02149i | −0.956276 | − | 0.956276i | 0.0428074 | − | 0.999083i | \(-0.486370\pi\) |
−0.999083 | + | 0.0428074i | \(0.986370\pi\) | |||||||
\(90\) | 6.64937 | − | 17.8499i | 0.700905 | − | 1.88154i | ||||
\(91\) | 1.34780 | − | 3.25387i | 0.141288 | − | 0.341098i | ||||
\(92\) | −3.50361 | − | 3.03090i | −0.365277 | − | 0.315993i | ||||
\(93\) | −1.53737 | + | 0.636798i | −0.159417 | + | 0.0660329i | ||||
\(94\) | −11.9277 | + | 12.8217i | −1.23025 | + | 1.32246i | ||||
\(95\) | 18.0351 | 1.85036 | ||||||||
\(96\) | 14.8201 | + | 3.19226i | 1.51257 | + | 0.325809i | ||||
\(97\) | −1.17783 | −0.119591 | −0.0597955 | − | 0.998211i | \(-0.519045\pi\) | ||||
−0.0597955 | + | 0.998211i | \(0.519045\pi\) | |||||||
\(98\) | 0.963248 | − | 1.03545i | 0.0973028 | − | 0.104596i | ||||
\(99\) | 22.4903 | − | 9.31578i | 2.26036 | − | 0.936271i | ||||
\(100\) | 7.03033 | − | 8.12682i | 0.703033 | − | 0.812682i | ||||
\(101\) | 2.12672 | − | 5.13436i | 0.211617 | − | 0.510888i | −0.782055 | − | 0.623209i | \(-0.785829\pi\) |
0.993672 | + | 0.112321i | \(0.0358286\pi\) | |||||||
\(102\) | 1.48671 | − | 3.99101i | 0.147207 | − | 0.395168i | ||||
\(103\) | 0.0679587 | + | 0.0679587i | 0.00669617 | + | 0.00669617i | 0.710447 | − | 0.703751i | \(-0.248493\pi\) |
−0.703751 | + | 0.710447i | \(0.748493\pi\) | |||||||
\(104\) | −9.56154 | − | 2.79481i | −0.937586 | − | 0.274054i | ||||
\(105\) | −6.10321 | + | 6.10321i | −0.595613 | + | 0.595613i | ||||
\(106\) | 1.75466 | + | 3.83803i | 0.170428 | + | 0.372782i | ||||
\(107\) | −3.62328 | − | 1.50081i | −0.350276 | − | 0.145089i | 0.200607 | − | 0.979672i | \(-0.435709\pi\) |
−0.550882 | + | 0.834583i | \(0.685709\pi\) | |||||||
\(108\) | 6.01303 | + | 1.99588i | 0.578604 | + | 0.192054i | ||||
\(109\) | −3.93266 | − | 9.49427i | −0.376680 | − | 0.909386i | −0.992584 | − | 0.121565i | \(-0.961209\pi\) |
0.615903 | − | 0.787822i | \(-0.288791\pi\) | |||||||
\(110\) | 26.4955 | − | 0.957113i | 2.52624 | − | 0.0912571i | ||||
\(111\) | − | 8.98101i | − | 0.852440i | ||||||
\(112\) | −3.20607 | − | 2.39188i | −0.302945 | − | 0.226012i | ||||
\(113\) | 9.81722i | 0.923526i | 0.887003 | + | 0.461763i | \(0.152783\pi\) | ||||
−0.887003 | + | 0.461763i | \(0.847217\pi\) | |||||||
\(114\) | 0.766156 | + | 21.2093i | 0.0717571 | + | 1.98643i | ||||
\(115\) | −2.85490 | − | 6.89233i | −0.266221 | − | 0.642713i | ||||
\(116\) | −1.90043 | − | 3.78885i | −0.176451 | − | 0.351786i | ||||
\(117\) | −13.6078 | − | 5.63656i | −1.25805 | − | 0.521100i | ||||
\(118\) | 16.8050 | − | 7.68287i | 1.54702 | − | 0.707265i | ||||
\(119\) | −0.794595 | + | 0.794595i | −0.0728404 | + | 0.0728404i | ||||
\(120\) | 19.0276 | + | 15.2950i | 1.73697 | + | 1.39624i | ||||
\(121\) | 16.1807 | + | 16.1807i | 1.47097 | + | 1.47097i | ||||
\(122\) | −5.45397 | − | 2.03169i | −0.493779 | − | 0.183941i | ||||
\(123\) | −0.801732 | + | 1.93555i | −0.0722897 | + | 0.174523i | ||||
\(124\) | −0.0896031 | − | 1.23861i | −0.00804659 | − | 0.111230i | ||||
\(125\) | 1.10948 | − | 0.459561i | 0.0992349 | − | 0.0411044i | ||||
\(126\) | −4.33029 | − | 4.02835i | −0.385773 | − | 0.358874i | ||||
\(127\) | 14.6535 | 1.30029 | 0.650145 | − | 0.759810i | \(-0.274708\pi\) | ||||
0.650145 | + | 0.759810i | \(0.274708\pi\) | |||||||
\(128\) | −5.74523 | + | 9.74640i | −0.507812 | + | 0.861468i | ||||
\(129\) | −20.1058 | −1.77021 | ||||||||
\(130\) | −11.7453 | − | 10.9263i | −1.03013 | − | 0.958299i | ||||
\(131\) | −4.19286 | + | 1.73674i | −0.366332 | + | 0.151740i | −0.558253 | − | 0.829671i | \(-0.688528\pi\) |
0.191921 | + | 0.981410i | \(0.438528\pi\) | |||||||
\(132\) | 2.25113 | + | 31.1180i | 0.195935 | + | 2.70847i | ||||
\(133\) | 2.14294 | − | 5.17351i | 0.185816 | − | 0.448600i | ||||
\(134\) | 13.8047 | + | 5.14246i | 1.19254 | + | 0.444241i | ||||
\(135\) | 7.21429 | + | 7.21429i | 0.620907 | + | 0.620907i | ||||
\(136\) | 2.47726 | + | 1.99130i | 0.212423 | + | 0.170753i | ||||
\(137\) | 9.77584 | − | 9.77584i | 0.835207 | − | 0.835207i | −0.153017 | − | 0.988224i | \(-0.548899\pi\) |
0.988224 | + | 0.153017i | \(0.0488989\pi\) | |||||||
\(138\) | 7.98409 | − | 3.65015i | 0.679651 | − | 0.310721i | ||||
\(139\) | −6.44774 | − | 2.67074i | −0.546890 | − | 0.226529i | 0.0920923 | − | 0.995750i | \(-0.470645\pi\) |
−0.638983 | + | 0.769221i | \(0.720645\pi\) | |||||||
\(140\) | −2.88798 | − | 5.75770i | −0.244078 | − | 0.486614i | ||||
\(141\) | −12.6994 | − | 30.6590i | −1.06948 | − | 2.58195i | ||||
\(142\) | −0.725340 | − | 20.0794i | −0.0608692 | − | 1.68502i | ||||
\(143\) | − | 20.5010i | − | 1.71438i | ||||||
\(144\) | −10.0030 | + | 13.4079i | −0.833580 | + | 1.11733i | ||||
\(145\) | − | 6.82587i | − | 0.566857i | ||||||
\(146\) | −17.0609 | + | 0.616303i | −1.41197 | + | 0.0510056i | ||||
\(147\) | 1.02557 | + | 2.47594i | 0.0845873 | + | 0.204212i | ||||
\(148\) | 6.36115 | + | 2.11143i | 0.522883 | + | 0.173558i | ||||
\(149\) | −14.2771 | − | 5.91376i | −1.16962 | − | 0.484474i | −0.288556 | − | 0.957463i | \(-0.593175\pi\) |
−0.881069 | + | 0.472989i | \(0.843175\pi\) | |||||||
\(150\) | 8.46672 | + | 18.5195i | 0.691305 | + | 1.51211i | ||||
\(151\) | 3.96600 | − | 3.96600i | 0.322749 | − | 0.322749i | −0.527072 | − | 0.849821i | \(-0.676710\pi\) |
0.849821 | + | 0.527072i | \(0.176710\pi\) | |||||||
\(152\) | −15.2024 | − | 4.44362i | −1.23308 | − | 0.360425i | ||||
\(153\) | 3.32303 | + | 3.32303i | 0.268651 | + | 0.268651i | ||||
\(154\) | 2.87364 | − | 7.71415i | 0.231565 | − | 0.621624i | ||||
\(155\) | 0.765292 | − | 1.84758i | 0.0614697 | − | 0.148401i | ||||
\(156\) | 12.3503 | − | 14.2766i | 0.988819 | − | 1.14304i | ||||
\(157\) | −3.21542 | + | 1.33187i | −0.256619 | + | 0.106295i | −0.507284 | − | 0.861779i | \(-0.669351\pi\) |
0.250666 | + | 0.968074i | \(0.419351\pi\) | |||||||
\(158\) | 7.13733 | − | 7.67231i | 0.567815 | − | 0.610376i | ||||
\(159\) | −7.99710 | −0.634212 | ||||||||
\(160\) | −15.3067 | + | 9.88118i | −1.21010 | + | 0.781176i | ||||
\(161\) | −2.31634 | −0.182553 | ||||||||
\(162\) | 3.90753 | − | 4.20042i | 0.307005 | − | 0.330016i | ||||
\(163\) | 1.17530 | − | 0.486827i | 0.0920570 | − | 0.0381312i | −0.336180 | − | 0.941798i | \(-0.609135\pi\) |
0.428237 | + | 0.903667i | \(0.359135\pi\) | |||||||
\(164\) | −1.18244 | − | 1.02290i | −0.0923333 | − | 0.0798754i | ||||
\(165\) | −19.2267 | + | 46.4173i | −1.49679 | + | 3.61358i | ||||
\(166\) | −4.61259 | + | 12.3823i | −0.358007 | + | 0.961051i | ||||
\(167\) | 6.11862 | + | 6.11862i | 0.473473 | + | 0.473473i | 0.903037 | − | 0.429564i | \(-0.141333\pi\) |
−0.429564 | + | 0.903037i | \(0.641333\pi\) | |||||||
\(168\) | 6.64835 | − | 3.64085i | 0.512932 | − | 0.280897i | ||||
\(169\) | 0.421263 | − | 0.421263i | 0.0324048 | − | 0.0324048i | ||||
\(170\) | 2.12812 | + | 4.65490i | 0.163219 | + | 0.357014i | ||||
\(171\) | −21.6359 | − | 8.96186i | −1.65454 | − | 0.685331i | ||||
\(172\) | 4.72685 | − | 14.2407i | 0.360419 | − | 1.08584i | ||||
\(173\) | 6.85868 | + | 16.5583i | 0.521456 | + | 1.25891i | 0.936999 | + | 0.349332i | \(0.113591\pi\) |
−0.415543 | + | 0.909573i | \(0.636409\pi\) | |||||||
\(174\) | 8.02720 | − | 0.289972i | 0.608541 | − | 0.0219827i | ||||
\(175\) | − | 5.37287i | − | 0.406151i | ||||||
\(176\) | −22.5697 | − | 5.72136i | −1.70126 | − | 0.431264i | ||||
\(177\) | 35.0157i | 2.63194i | ||||||||
\(178\) | 0.651353 | + | 18.0312i | 0.0488210 | + | 1.35150i | ||||
\(179\) | 6.54277 | + | 15.7956i | 0.489030 | + | 1.18062i | 0.955209 | + | 0.295932i | \(0.0956301\pi\) |
−0.466180 | + | 0.884690i | \(0.654370\pi\) | |||||||
\(180\) | −24.0790 | + | 12.0777i | −1.79474 | + | 0.900215i | ||||
\(181\) | −12.6175 | − | 5.22636i | −0.937854 | − | 0.388472i | −0.139202 | − | 0.990264i | \(-0.544454\pi\) |
−0.798653 | + | 0.601792i | \(0.794454\pi\) | |||||||
\(182\) | −4.52986 | + | 2.07095i | −0.335776 | + | 0.153509i | ||||
\(183\) | 7.79874 | − | 7.79874i | 0.576499 | − | 0.576499i | ||||
\(184\) | 0.708306 | + | 6.51318i | 0.0522170 | + | 0.480158i | ||||
\(185\) | 7.63195 | + | 7.63195i | 0.561112 | + | 0.561112i | ||||
\(186\) | 2.20526 | + | 0.821494i | 0.161697 | + | 0.0602348i | ||||
\(187\) | −2.50317 | + | 6.04320i | −0.183050 | + | 0.441922i | ||||
\(188\) | 24.7010 | − | 1.78691i | 1.80151 | − | 0.130324i | ||||
\(189\) | 2.92667 | − | 1.21227i | 0.212884 | − | 0.0881795i | ||||
\(190\) | −18.6744 | − | 17.3723i | −1.35479 | − | 1.26032i | ||||
\(191\) | −20.0273 | −1.44912 | −0.724562 | − | 0.689210i | \(-0.757958\pi\) | ||||
−0.724562 | + | 0.689210i | \(0.757958\pi\) | |||||||
\(192\) | −12.2705 | − | 17.5808i | −0.885547 | − | 1.26879i | ||||
\(193\) | 15.6384 | 1.12567 | 0.562837 | − | 0.826568i | \(-0.309710\pi\) | ||||
0.562837 | + | 0.826568i | \(0.309710\pi\) | |||||||
\(194\) | 1.21959 | + | 1.13455i | 0.0875612 | + | 0.0814557i | ||||
\(195\) | 28.0850 | − | 11.6332i | 2.01121 | − | 0.833069i | ||||
\(196\) | −1.99479 | + | 0.144306i | −0.142485 | + | 0.0103076i | ||||
\(197\) | 5.50906 | − | 13.3000i | 0.392504 | − | 0.947588i | −0.596889 | − | 0.802324i | \(-0.703597\pi\) |
0.989393 | − | 0.145264i | \(-0.0464033\pi\) | |||||||
\(198\) | −32.2609 | − | 12.0177i | −2.29268 | − | 0.854062i | ||||
\(199\) | 13.0662 | + | 13.0662i | 0.926238 | + | 0.926238i | 0.997460 | − | 0.0712229i | \(-0.0226902\pi\) |
−0.0712229 | + | 0.997460i | \(0.522690\pi\) | |||||||
\(200\) | −15.1077 | + | 1.64295i | −1.06828 | + | 0.116174i | ||||
\(201\) | −19.7396 | + | 19.7396i | −1.39232 | + | 1.39232i | ||||
\(202\) | −7.14777 | + | 3.26780i | −0.502915 | + | 0.229922i | ||||
\(203\) | −1.95805 | − | 0.811051i | −0.137428 | − | 0.0569246i | ||||
\(204\) | −5.38374 | + | 2.70041i | −0.376937 | + | 0.189066i | ||||
\(205\) | −0.963506 | − | 2.32611i | −0.0672942 | − | 0.162463i | ||||
\(206\) | −0.00490663 | − | 0.135829i | −0.000341861 | − | 0.00946365i | ||||
\(207\) | 9.68702i | 0.673295i | ||||||||
\(208\) | 7.20838 | + | 12.1040i | 0.499811 | + | 0.839262i | ||||
\(209\) | − | 32.5957i | − | 2.25469i | ||||||
\(210\) | 12.1985 | − | 0.440653i | 0.841774 | − | 0.0304080i | ||||
\(211\) | 9.24765 | + | 22.3258i | 0.636634 | + | 1.53697i | 0.831136 | + | 0.556069i | \(0.187691\pi\) |
−0.194502 | + | 0.980902i | \(0.562309\pi\) | |||||||
\(212\) | 1.88011 | − | 5.66426i | 0.129127 | − | 0.389023i | ||||
\(213\) | 35.1769 | + | 14.5708i | 2.41028 | + | 0.998372i | ||||
\(214\) | 2.30607 | + | 5.04413i | 0.157639 | + | 0.344810i | ||||
\(215\) | 17.0856 | − | 17.0856i | 1.16523 | − | 1.16523i | ||||
\(216\) | −4.30365 | − | 7.85867i | −0.292827 | − | 0.534715i | ||||
\(217\) | −0.439059 | − | 0.439059i | −0.0298053 | − | 0.0298053i | ||||
\(218\) | −5.07328 | + | 13.6190i | −0.343606 | + | 0.922392i | ||||
\(219\) | 12.3804 | − | 29.8889i | 0.836590 | − | 2.01971i | ||||
\(220\) | −28.3566 | − | 24.5307i | −1.91180 | − | 1.65386i | ||||
\(221\) | 3.65646 | − | 1.51456i | 0.245960 | − | 0.101880i | ||||
\(222\) | −8.65094 | + | 9.29937i | −0.580613 | + | 0.624133i | ||||
\(223\) | −7.70633 | −0.516054 | −0.258027 | − | 0.966138i | \(-0.583072\pi\) | ||||
−0.258027 | + | 0.966138i | \(0.583072\pi\) | |||||||
\(224\) | 1.01575 | + | 5.56491i | 0.0678675 | + | 0.371821i | ||||
\(225\) | −22.4696 | −1.49797 | ||||||||
\(226\) | 9.45641 | − | 10.1652i | 0.629031 | − | 0.676180i | ||||
\(227\) | 5.24849 | − | 2.17400i | 0.348355 | − | 0.144293i | −0.201644 | − | 0.979459i | \(-0.564628\pi\) |
0.549998 | + | 0.835166i | \(0.314628\pi\) | |||||||
\(228\) | 19.6365 | − | 22.6991i | 1.30046 | − | 1.50328i | ||||
\(229\) | 4.78305 | − | 11.5473i | 0.316073 | − | 0.763068i | −0.683382 | − | 0.730061i | \(-0.739492\pi\) |
0.999455 | − | 0.0330068i | \(-0.0105083\pi\) | |||||||
\(230\) | −3.68293 | + | 9.88663i | −0.242845 | + | 0.651905i | ||||
\(231\) | 11.0306 | + | 11.0306i | 0.725761 | + | 0.725761i | ||||
\(232\) | −1.68181 | + | 5.75375i | −0.110416 | + | 0.377752i | ||||
\(233\) | −5.82716 | + | 5.82716i | −0.381750 | + | 0.381750i | −0.871732 | − | 0.489983i | \(-0.837003\pi\) |
0.489983 | + | 0.871732i | \(0.337003\pi\) | |||||||
\(234\) | 8.66082 | + | 18.9441i | 0.566176 | + | 1.23841i | ||||
\(235\) | 36.8453 | + | 15.2618i | 2.40353 | + | 0.995573i | ||||
\(236\) | −24.8012 | − | 8.23216i | −1.61442 | − | 0.535868i | ||||
\(237\) | 7.59909 | + | 18.3458i | 0.493614 | + | 1.19169i | ||||
\(238\) | 1.58815 | − | 0.0573699i | 0.102945 | − | 0.00371874i | ||||
\(239\) | 5.23408i | 0.338565i | 0.985568 | + | 0.169282i | \(0.0541450\pi\) | ||||
−0.985568 | + | 0.169282i | \(0.945855\pi\) | |||||||
\(240\) | −4.96919 | − | 34.1655i | −0.320760 | − | 2.20537i | ||||
\(241\) | 0.602343i | 0.0388003i | 0.999812 | + | 0.0194002i | \(0.00617565\pi\) | ||||
−0.999812 | + | 0.0194002i | \(0.993824\pi\) | |||||||
\(242\) | −1.16825 | − | 32.3403i | −0.0750978 | − | 2.07891i | ||||
\(243\) | 7.79714 | + | 18.8240i | 0.500187 | + | 1.20756i | ||||
\(244\) | 3.69028 | + | 7.35723i | 0.236246 | + | 0.470999i | ||||
\(245\) | −2.97553 | − | 1.23251i | −0.190100 | − | 0.0787419i | ||||
\(246\) | 2.69457 | − | 1.23190i | 0.171799 | − | 0.0785429i | ||||
\(247\) | −13.9457 | + | 13.9457i | −0.887343 | + | 0.887343i | ||||
\(248\) | −1.10031 | + | 1.36883i | −0.0698697 | + | 0.0869205i | ||||
\(249\) | −17.7057 | − | 17.7057i | −1.12205 | − | 1.12205i | ||||
\(250\) | −1.59148 | − | 0.592852i | −0.100654 | − | 0.0374952i | ||||
\(251\) | 3.75114 | − | 9.05605i | 0.236770 | − | 0.571613i | −0.760175 | − | 0.649718i | \(-0.774887\pi\) |
0.996945 | + | 0.0781052i | \(0.0248870\pi\) | |||||||
\(252\) | 0.603496 | + | 8.34229i | 0.0380166 | + | 0.525515i | ||||
\(253\) | −12.4568 | + | 5.15978i | −0.783154 | + | 0.324393i | ||||
\(254\) | −15.1730 | − | 14.1150i | −0.952036 | − | 0.885652i | ||||
\(255\) | −9.69917 | −0.607385 | ||||||||
\(256\) | 15.3371 | − | 4.55781i | 0.958568 | − | 0.284863i | ||||
\(257\) | −2.95881 | −0.184565 | −0.0922827 | − | 0.995733i | \(-0.529416\pi\) | ||||
−0.0922827 | + | 0.995733i | \(0.529416\pi\) | |||||||
\(258\) | 20.8185 | + | 19.3668i | 1.29610 | + | 1.20573i | ||||
\(259\) | 3.09611 | − | 1.28245i | 0.192383 | − | 0.0796876i | ||||
\(260\) | 1.63689 | + | 22.6272i | 0.101516 | + | 1.40328i | ||||
\(261\) | −3.39185 | + | 8.18866i | −0.209950 | + | 0.506865i | ||||
\(262\) | 6.01440 | + | 2.24046i | 0.371571 | + | 0.138416i | ||||
\(263\) | 4.55305 | + | 4.55305i | 0.280753 | + | 0.280753i | 0.833409 | − | 0.552656i | \(-0.186386\pi\) |
−0.552656 | + | 0.833409i | \(0.686386\pi\) | |||||||
\(264\) | 27.6434 | − | 34.3894i | 1.70133 | − | 2.11652i | ||||
\(265\) | 6.79584 | − | 6.79584i | 0.417465 | − | 0.417465i | ||||
\(266\) | −7.20227 | + | 3.29272i | −0.441600 | + | 0.201890i | ||||
\(267\) | −31.5888 | − | 13.0845i | −1.93320 | − | 0.800758i | ||||
\(268\) | −9.34056 | − | 18.6221i | −0.570566 | − | 1.13752i | ||||
\(269\) | −3.39565 | − | 8.19783i | −0.207037 | − | 0.499831i | 0.785917 | − | 0.618332i | \(-0.212191\pi\) |
−0.992954 | + | 0.118501i | \(0.962191\pi\) | |||||||
\(270\) | −0.520873 | − | 14.4192i | −0.0316993 | − | 0.877523i | ||||
\(271\) | 7.90544i | 0.480221i | 0.970746 | + | 0.240111i | \(0.0771837\pi\) | ||||
−0.970746 | + | 0.240111i | \(0.922816\pi\) | |||||||
\(272\) | −0.646953 | − | 4.44811i | −0.0392273 | − | 0.269706i | ||||
\(273\) | − | 9.43864i | − | 0.571252i | ||||||
\(274\) | −19.5389 | + | 0.705818i | −1.18039 | + | 0.0426400i | ||||
\(275\) | −11.9684 | − | 28.8943i | −0.721722 | − | 1.74239i | ||||
\(276\) | −11.7831 | − | 3.91112i | −0.709260 | − | 0.235422i | ||||
\(277\) | 2.60561 | + | 1.07928i | 0.156556 | + | 0.0648475i | 0.459585 | − | 0.888134i | \(-0.347998\pi\) |
−0.303030 | + | 0.952981i | \(0.597998\pi\) | |||||||
\(278\) | 4.10372 | + | 8.97619i | 0.246125 | + | 0.538356i | ||||
\(279\) | −1.83617 | + | 1.83617i | −0.109928 | + | 0.109928i | ||||
\(280\) | −2.55574 | + | 8.74363i | −0.152735 | + | 0.522532i | ||||
\(281\) | 14.2063 | + | 14.2063i | 0.847479 | + | 0.847479i | 0.989818 | − | 0.142339i | \(-0.0454623\pi\) |
−0.142339 | + | 0.989818i | \(0.545462\pi\) | |||||||
\(282\) | −16.3827 | + | 43.9784i | −0.975573 | + | 2.61888i | ||||
\(283\) | −1.51835 | + | 3.66562i | −0.0902566 | + | 0.217899i | −0.962561 | − | 0.271064i | \(-0.912625\pi\) |
0.872305 | + | 0.488963i | \(0.162625\pi\) | |||||||
\(284\) | −18.5904 | + | 21.4898i | −1.10314 | + | 1.27519i | ||||
\(285\) | 44.6538 | − | 18.4962i | 2.64506 | − | 1.09562i | ||||
\(286\) | −19.7476 | + | 21.2278i | −1.16770 | + | 1.25522i | ||||
\(287\) | −0.781746 | −0.0461450 | ||||||||
\(288\) | 23.2727 | − | 4.24790i | 1.37136 | − | 0.250310i | ||||
\(289\) | 15.7372 | 0.925720 | ||||||||
\(290\) | −6.57500 | + | 7.06783i | −0.386097 | + | 0.415037i | ||||
\(291\) | −2.91624 | + | 1.20795i | −0.170953 | + | 0.0708111i | ||||
\(292\) | 18.2594 | + | 15.7958i | 1.06855 | + | 0.924377i | ||||
\(293\) | −4.45974 | + | 10.7668i | −0.260541 | + | 0.629001i | −0.998972 | − | 0.0453274i | \(-0.985567\pi\) |
0.738431 | + | 0.674329i | \(0.235567\pi\) | |||||||
\(294\) | 1.32302 | − | 3.55158i | 0.0771601 | − | 0.207132i | ||||
\(295\) | −29.7559 | − | 29.7559i | −1.73245 | − | 1.73245i | ||||
\(296\) | −4.55281 | − | 8.31364i | −0.264627 | − | 0.483220i | ||||
\(297\) | 13.0387 | − | 13.0387i | 0.756583 | − | 0.756583i | ||||
\(298\) | 9.08676 | + | 19.8758i | 0.526382 | + | 1.15137i | ||||
\(299\) | 7.53706 | + | 3.12195i | 0.435879 | + | 0.180547i | ||||
\(300\) | 9.07205 | − | 27.3316i | 0.523775 | − | 1.57799i | ||||
\(301\) | −2.87102 | − | 6.93125i | −0.165483 | − | 0.399511i | ||||
\(302\) | −7.92684 | + | 0.286346i | −0.456138 | + | 0.0164774i | ||||
\(303\) | − | 14.8934i | − | 0.855605i | ||||||
\(304\) | 11.4610 | + | 19.2448i | 0.657333 | + | 1.10377i | ||||
\(305\) | 13.2545i | 0.758953i | ||||||||
\(306\) | −0.239924 | − | 6.64174i | −0.0137155 | − | 0.379683i | ||||
\(307\) | 9.52021 | + | 22.9838i | 0.543347 | + | 1.31176i | 0.922348 | + | 0.386360i | \(0.126268\pi\) |
−0.379001 | + | 0.925396i | \(0.623732\pi\) | |||||||
\(308\) | −10.4061 | + | 5.21957i | −0.592945 | + | 0.297412i | ||||
\(309\) | 0.237958 | + | 0.0985653i | 0.0135369 | + | 0.00560719i | ||||
\(310\) | −2.57210 | + | 1.17591i | −0.146085 | + | 0.0667869i | ||||
\(311\) | −11.0470 | + | 11.0470i | −0.626420 | + | 0.626420i | −0.947165 | − | 0.320745i | \(-0.896067\pi\) |
0.320745 | + | 0.947165i | \(0.396067\pi\) | |||||||
\(312\) | −26.5400 | + | 2.88621i | −1.50253 | + | 0.163400i | ||||
\(313\) | −15.4459 | − | 15.4459i | −0.873054 | − | 0.873054i | 0.119750 | − | 0.992804i | \(-0.461791\pi\) |
−0.992804 | + | 0.119750i | \(0.961791\pi\) | |||||||
\(314\) | 4.61233 | + | 1.71817i | 0.260289 | + | 0.0969617i | ||||
\(315\) | −5.15440 | + | 12.4438i | −0.290417 | + | 0.701130i | ||||
\(316\) | −14.7807 | + | 1.06926i | −0.831478 | + | 0.0601505i | ||||
\(317\) | 28.2135 | − | 11.6864i | 1.58463 | − | 0.656374i | 0.595489 | − | 0.803363i | \(-0.296958\pi\) |
0.989138 | + | 0.146989i | \(0.0469583\pi\) | |||||||
\(318\) | 8.28059 | + | 7.70319i | 0.464352 | + | 0.431974i | ||||
\(319\) | −12.3367 | −0.690722 | ||||||||
\(320\) | 25.3673 | + | 4.51267i | 1.41807 | + | 0.252266i | ||||
\(321\) | −10.5102 | −0.586622 | ||||||||
\(322\) | 2.39845 | + | 2.23121i | 0.133660 | + | 0.124340i | ||||
\(323\) | 5.81361 | − | 2.40808i | 0.323478 | − | 0.133989i | ||||
\(324\) | −8.09209 | + | 0.585396i | −0.449561 | + | 0.0325220i | ||||
\(325\) | −7.24154 | + | 17.4826i | −0.401688 | + | 0.969762i | ||||
\(326\) | −1.68590 | − | 0.628026i | −0.0933735 | − | 0.0347831i | ||||
\(327\) | −19.4740 | − | 19.4740i | −1.07692 | − | 1.07692i | ||||
\(328\) | 0.239048 | + | 2.19815i | 0.0131992 | + | 0.121373i | ||||
\(329\) | 8.75594 | − | 8.75594i | 0.482731 | − | 0.482731i | ||||
\(330\) | 64.6195 | − | 29.5426i | 3.55719 | − | 1.62627i | ||||
\(331\) | 0.500209 | + | 0.207194i | 0.0274940 | + | 0.0113884i | 0.396388 | − | 0.918083i | \(-0.370263\pi\) |
−0.368894 | + | 0.929471i | \(0.620263\pi\) | |||||||
\(332\) | 16.7033 | − | 8.37813i | 0.916713 | − | 0.459810i | ||||
\(333\) | −5.36327 | − | 12.9481i | −0.293905 | − | 0.709550i | ||||
\(334\) | −0.441765 | − | 12.2293i | −0.0241723 | − | 0.669155i | ||||
\(335\) | − | 33.5489i | − | 1.83297i | ||||||
\(336\) | −10.3911 | − | 2.63411i | −0.566879 | − | 0.143702i | ||||
\(337\) | − | 2.29568i | − | 0.125054i | −0.998043 | − | 0.0625268i | \(-0.980084\pi\) | ||
0.998043 | − | 0.0625268i | \(-0.0199159\pi\) | |||||||
\(338\) | −0.841977 | + | 0.0304153i | −0.0457975 | + | 0.00165437i | ||||
\(339\) | 10.0682 | + | 24.3068i | 0.546830 | + | 1.32016i | ||||
\(340\) | 2.28027 | − | 6.86981i | 0.123665 | − | 0.372568i | ||||
\(341\) | −3.33921 | − | 1.38315i | −0.180828 | − | 0.0749016i | ||||
\(342\) | 13.7703 | + | 30.1202i | 0.744613 | + | 1.62872i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −18.6117 | + | 10.1924i | −1.00348 | + | 0.549535i | ||||
\(345\) | −14.1371 | − | 14.1371i | −0.761115 | − | 0.761115i | ||||
\(346\) | 8.84796 | − | 23.7519i | 0.475669 | − | 1.27691i | ||||
\(347\) | −0.117249 | + | 0.283063i | −0.00629423 | + | 0.0151956i | −0.926995 | − | 0.375073i | \(-0.877618\pi\) |
0.920701 | + | 0.390268i | \(0.127618\pi\) | |||||||
\(348\) | −8.59107 | − | 7.43194i | −0.460530 | − | 0.398394i | ||||
\(349\) | −18.8618 | + | 7.81280i | −1.00965 | + | 0.418210i | −0.825326 | − | 0.564656i | \(-0.809009\pi\) |
−0.184322 | + | 0.982866i | \(0.559009\pi\) | |||||||
\(350\) | −5.17540 | + | 5.56333i | −0.276637 | + | 0.297372i | ||||
\(351\) | −11.1569 | −0.595512 | ||||||||
\(352\) | 17.8587 | + | 27.6644i | 0.951872 | + | 1.47452i | ||||
\(353\) | 13.6526 | 0.726653 | 0.363326 | − | 0.931662i | \(-0.381641\pi\) | ||||
0.363326 | + | 0.931662i | \(0.381641\pi\) | |||||||
\(354\) | 33.7288 | − | 36.2569i | 1.79266 | − | 1.92703i | ||||
\(355\) | −42.2750 | + | 17.5109i | −2.24372 | + | 0.929380i | ||||
\(356\) | 16.6941 | − | 19.2978i | 0.884785 | − | 1.02278i | ||||
\(357\) | −1.15246 | + | 2.78228i | −0.0609945 | + | 0.147254i | ||||
\(358\) | 8.44042 | − | 22.6579i | 0.446090 | − | 1.19751i | ||||
\(359\) | 10.2515 | + | 10.2515i | 0.541054 | + | 0.541054i | 0.923838 | − | 0.382784i | \(-0.125035\pi\) |
−0.382784 | + | 0.923838i | \(0.625035\pi\) | |||||||
\(360\) | 36.5663 | + | 10.6882i | 1.92721 | + | 0.563319i | ||||
\(361\) | −8.73797 | + | 8.73797i | −0.459893 | + | 0.459893i | ||||
\(362\) | 8.03053 | + | 17.5654i | 0.422075 | + | 0.923219i | ||||
\(363\) | 56.6567 | + | 23.4680i | 2.97371 | + | 1.23175i | ||||
\(364\) | 6.68528 | + | 2.21902i | 0.350404 | + | 0.116308i | ||||
\(365\) | 14.8785 | + | 35.9200i | 0.778778 | + | 1.88014i | ||||
\(366\) | −15.5873 | + | 0.563070i | −0.814762 | + | 0.0294321i | ||||
\(367\) | 3.90421i | 0.203798i | 0.994795 | + | 0.101899i | \(0.0324918\pi\) | ||||
−0.994795 | + | 0.101899i | \(0.967508\pi\) | |||||||
\(368\) | 5.54040 | − | 7.42634i | 0.288813 | − | 0.387125i | ||||
\(369\) | 3.26930i | 0.170193i | ||||||||
\(370\) | −0.551028 | − | 15.2539i | −0.0286466 | − | 0.793015i | ||||
\(371\) | −1.14195 | − | 2.75692i | −0.0592872 | − | 0.143132i | ||||
\(372\) | −1.49213 | − | 2.97482i | −0.0773632 | − | 0.154237i | ||||
\(373\) | 3.68978 | + | 1.52836i | 0.191050 | + | 0.0791354i | 0.476157 | − | 0.879360i | \(-0.342029\pi\) |
−0.285107 | + | 0.958496i | \(0.592029\pi\) | |||||||
\(374\) | 8.41301 | − | 3.84624i | 0.435026 | − | 0.198884i | ||||
\(375\) | 2.27569 | − | 2.27569i | 0.117516 | − | 0.117516i | ||||
\(376\) | −27.2978 | − | 21.9429i | −1.40778 | − | 1.13162i | ||||
\(377\) | 5.27811 | + | 5.27811i | 0.271837 | + | 0.271837i | ||||
\(378\) | −4.19814 | − | 1.56387i | −0.215929 | − | 0.0804369i | ||||
\(379\) | −4.66538 | + | 11.2632i | −0.239644 | + | 0.578553i | −0.997246 | − | 0.0741646i | \(-0.976371\pi\) |
0.757602 | + | 0.652717i | \(0.226371\pi\) | |||||||
\(380\) | 2.60258 | + | 35.9762i | 0.133510 | + | 1.84554i | ||||
\(381\) | 36.2812 | − | 15.0282i | 1.85874 | − | 0.769916i | ||||
\(382\) | 20.7372 | + | 19.2912i | 1.06101 | + | 0.987026i | ||||
\(383\) | 17.2598 | 0.881936 | 0.440968 | − | 0.897523i | \(-0.354635\pi\) | ||||
0.440968 | + | 0.897523i | \(0.354635\pi\) | |||||||
\(384\) | −4.22925 | + | 30.0236i | −0.215823 | + | 1.53213i | ||||
\(385\) | −18.7474 | −0.955454 | ||||||||
\(386\) | −16.1927 | − | 15.0636i | −0.824188 | − | 0.766719i | ||||
\(387\) | −28.9868 | + | 12.0067i | −1.47348 | + | 0.610337i | ||||
\(388\) | −0.169969 | − | 2.34953i | −0.00862886 | − | 0.119279i | ||||
\(389\) | −3.00728 | + | 7.26021i | −0.152475 | + | 0.368107i | −0.981598 | − | 0.190959i | \(-0.938840\pi\) |
0.829123 | + | 0.559066i | \(0.188840\pi\) | |||||||
\(390\) | −40.2862 | − | 15.0072i | −2.03997 | − | 0.759921i | ||||
\(391\) | −1.84055 | − | 1.84055i | −0.0930805 | − | 0.0930805i | ||||
\(392\) | 2.20450 | + | 1.77205i | 0.111344 | + | 0.0895022i | ||||
\(393\) | −8.60012 | + | 8.60012i | −0.433818 | + | 0.433818i | ||||
\(394\) | −18.5156 | + | 8.46491i | −0.932801 | + | 0.426456i | ||||
\(395\) | −22.0477 | − | 9.13244i | −1.10934 | − | 0.459503i | ||||
\(396\) | 21.8285 | + | 43.5190i | 1.09692 | + | 2.18691i | ||||
\(397\) | 0.701698 | + | 1.69405i | 0.0352172 | + | 0.0850218i | 0.940510 | − | 0.339767i | \(-0.110348\pi\) |
−0.905292 | + | 0.424789i | \(0.860348\pi\) | |||||||
\(398\) | −0.943381 | − | 26.1153i | −0.0472874 | − | 1.30904i | ||||
\(399\) | − | 15.0070i | − | 0.751290i | ||||||
\(400\) | 17.2258 | + | 12.8513i | 0.861290 | + | 0.642563i | ||||
\(401\) | − | 1.26709i | − | 0.0632754i | −0.999499 | − | 0.0316377i | \(-0.989928\pi\) | ||
0.999499 | − | 0.0316377i | \(-0.0100723\pi\) | |||||||
\(402\) | 39.4534 | − | 1.42520i | 1.96776 | − | 0.0710826i | ||||
\(403\) | 0.836879 | + | 2.02040i | 0.0416879 | + | 0.100644i | ||||
\(404\) | 10.5488 | + | 3.50143i | 0.524825 | + | 0.174203i | ||||
\(405\) | −12.0706 | − | 4.99981i | −0.599793 | − | 0.248443i | ||||
\(406\) | 1.24622 | + | 2.72589i | 0.0618487 | + | 0.135284i | ||||
\(407\) | 13.7936 | − | 13.7936i | 0.683722 | − | 0.683722i | ||||
\(408\) | 8.17575 | + | 2.38975i | 0.404760 | + | 0.118310i | ||||
\(409\) | −4.14840 | − | 4.14840i | −0.205125 | − | 0.205125i | 0.597067 | − | 0.802192i | \(-0.296333\pi\) |
−0.802192 | + | 0.597067i | \(0.796333\pi\) | |||||||
\(410\) | −1.24296 | + | 3.33666i | −0.0613854 | + | 0.164786i | ||||
\(411\) | 14.1786 | − | 34.2301i | 0.699378 | − | 1.68845i | ||||
\(412\) | −0.125756 | + | 0.145370i | −0.00619557 | + | 0.00716187i | ||||
\(413\) | −12.0713 | + | 5.00009i | −0.593989 | + | 0.246039i | ||||
\(414\) | 9.33101 | − | 10.0304i | 0.458594 | − | 0.492968i | ||||
\(415\) | 30.0921 | 1.47716 | ||||||||
\(416\) | 4.19527 | − | 19.4765i | 0.205690 | − | 0.954916i | ||||
\(417\) | −18.7032 | −0.915901 | ||||||||
\(418\) | −31.3977 | + | 33.7512i | −1.53571 | + | 1.65082i | ||||
\(419\) | 22.3678 | − | 9.26503i | 1.09274 | − | 0.452626i | 0.237776 | − | 0.971320i | \(-0.423581\pi\) |
0.854960 | + | 0.518694i | \(0.173581\pi\) | |||||||
\(420\) | −13.0553 | − | 11.2939i | −0.637036 | − | 0.551085i | ||||
\(421\) | 1.09191 | − | 2.63610i | 0.0532163 | − | 0.128476i | −0.895035 | − | 0.445995i | \(-0.852850\pi\) |
0.948252 | + | 0.317519i | \(0.102850\pi\) | |||||||
\(422\) | 11.9298 | − | 32.0250i | 0.580735 | − | 1.55895i | ||||
\(423\) | −36.6178 | − | 36.6178i | −1.78042 | − | 1.78042i | ||||
\(424\) | −7.40284 | + | 4.05403i | −0.359514 | + | 0.196881i | ||||
\(425\) | 4.26925 | − | 4.26925i | 0.207089 | − | 0.207089i | ||||
\(426\) | −22.3886 | − | 48.9714i | −1.08473 | − | 2.37267i | ||||
\(427\) | 3.80216 | + | 1.57491i | 0.183999 | + | 0.0762151i | ||||
\(428\) | 2.47094 | − | 7.44425i | 0.119437 | − | 0.359832i | ||||
\(429\) | −21.0252 | − | 50.7592i | −1.01510 | − | 2.45068i | ||||
\(430\) | −34.1490 | + | 1.23359i | −1.64681 | + | 0.0594888i | ||||
\(431\) | 8.63598i | 0.415980i | 0.978131 | + | 0.207990i | \(0.0666922\pi\) | ||||
−0.978131 | + | 0.207990i | \(0.933308\pi\) | |||||||
\(432\) | −3.11364 | + | 12.2827i | −0.149805 | + | 0.590953i | ||||
\(433\) | 4.81690i | 0.231486i | 0.993279 | + | 0.115743i | \(0.0369248\pi\) | ||||
−0.993279 | + | 0.115743i | \(0.963075\pi\) | |||||||
\(434\) | 0.0317001 | + | 0.877546i | 0.00152166 | + | 0.0421235i | ||||
\(435\) | −7.00038 | − | 16.9004i | −0.335642 | − | 0.810313i | ||||
\(436\) | 18.3715 | − | 9.21490i | 0.879837 | − | 0.441313i | ||||
\(437\) | 11.9836 | + | 4.96376i | 0.573252 | + | 0.237449i | ||||
\(438\) | −41.6097 | + | 19.0230i | −1.98819 | + | 0.908956i | ||||
\(439\) | 9.57691 | − | 9.57691i | 0.457081 | − | 0.457081i | −0.440615 | − | 0.897696i | \(-0.645240\pi\) |
0.897696 | + | 0.440615i | \(0.145240\pi\) | |||||||
\(440\) | 5.73270 | + | 52.7147i | 0.273296 | + | 2.51308i | ||||
\(441\) | 2.95715 | + | 2.95715i | 0.140817 | + | 0.140817i | ||||
\(442\) | −5.24497 | − | 1.95384i | −0.249478 | − | 0.0929345i | ||||
\(443\) | −12.9613 | + | 31.2912i | −0.615808 | + | 1.48669i | 0.240722 | + | 0.970594i | \(0.422616\pi\) |
−0.856530 | + | 0.516098i | \(0.827384\pi\) | |||||||
\(444\) | 17.9152 | − | 1.29602i | 0.850218 | − | 0.0615062i | ||||
\(445\) | 37.9628 | − | 15.7247i | 1.79961 | − | 0.745422i | ||||
\(446\) | 7.97950 | + | 7.42311i | 0.377840 | + | 0.351494i | ||||
\(447\) | −41.4141 | −1.95882 | ||||||||
\(448\) | 4.30864 | − | 6.74060i | 0.203564 | − | 0.318463i | ||||
\(449\) | 6.30540 | 0.297570 | 0.148785 | − | 0.988870i | \(-0.452464\pi\) | ||||
0.148785 | + | 0.988870i | \(0.452464\pi\) | |||||||
\(450\) | 23.2661 | + | 21.6438i | 1.09677 | + | 1.02030i | ||||
\(451\) | −4.20408 | + | 1.74139i | −0.197963 | + | 0.0819988i | ||||
\(452\) | −19.5833 | + | 1.41669i | −0.921119 | + | 0.0666353i | ||||
\(453\) | 5.75217 | − | 13.8870i | 0.270261 | − | 0.652467i | ||||
\(454\) | −7.52864 | − | 2.80454i | −0.353337 | − | 0.131624i | ||||
\(455\) | 8.02083 | + | 8.02083i | 0.376023 | + | 0.376023i | ||||
\(456\) | −42.1974 | + | 4.58895i | −1.97608 | + | 0.214897i | ||||
\(457\) | −14.5745 | + | 14.5745i | −0.681767 | + | 0.681767i | −0.960398 | − | 0.278631i | \(-0.910119\pi\) |
0.278631 | + | 0.960398i | \(0.410119\pi\) | |||||||
\(458\) | −16.0755 | + | 7.34938i | −0.751160 | + | 0.343414i | ||||
\(459\) | 3.28878 | + | 1.36226i | 0.153507 | + | 0.0635848i | ||||
\(460\) | 13.3368 | − | 6.68952i | 0.621829 | − | 0.311900i | ||||
\(461\) | 12.6342 | + | 30.5016i | 0.588433 | + | 1.42060i | 0.885000 | + | 0.465591i | \(0.154158\pi\) |
−0.296567 | + | 0.955012i | \(0.595842\pi\) | |||||||
\(462\) | −0.796412 | − | 22.0468i | −0.0370525 | − | 1.02571i | ||||
\(463\) | 6.86681i | 0.319128i | 0.987188 | + | 0.159564i | \(0.0510088\pi\) | ||||
−0.987188 | + | 0.159564i | \(0.948991\pi\) | |||||||
\(464\) | 7.28371 | − | 4.33771i | 0.338138 | − | 0.201373i | ||||
\(465\) | − | 5.35934i | − | 0.248533i | ||||||
\(466\) | 11.6467 | − | 0.420722i | 0.539524 | − | 0.0194896i | ||||
\(467\) | −3.84799 | − | 9.28988i | −0.178064 | − | 0.429884i | 0.809496 | − | 0.587125i | \(-0.199740\pi\) |
−0.987560 | + | 0.157241i | \(0.949740\pi\) | |||||||
\(468\) | 9.28003 | − | 27.9582i | 0.428970 | − | 1.29237i | ||||
\(469\) | −9.62375 | − | 3.98629i | −0.444383 | − | 0.184070i | ||||
\(470\) | −23.4505 | − | 51.2941i | −1.08169 | − | 2.36602i | ||||
\(471\) | −6.59526 | + | 6.59526i | −0.303893 | + | 0.303893i | ||||
\(472\) | 17.7508 | + | 32.4137i | 0.817045 | + | 1.49196i | ||||
\(473\) | −30.8796 | − | 30.8796i | −1.41985 | − | 1.41985i | ||||
\(474\) | 9.80311 | − | 26.3159i | 0.450272 | − | 1.20873i | ||||
\(475\) | −11.5137 | + | 27.7966i | −0.528286 | + | 1.27539i | ||||
\(476\) | −1.69971 | − | 1.47038i | −0.0779062 | − | 0.0673949i | ||||
\(477\) | −11.5296 | + | 4.77570i | −0.527902 | + | 0.218664i | ||||
\(478\) | 5.04172 | − | 5.41962i | 0.230603 | − | 0.247888i | ||||
\(479\) | −6.21656 | −0.284042 | −0.142021 | − | 0.989864i | \(-0.545360\pi\) | ||||
−0.142021 | + | 0.989864i | \(0.545360\pi\) | |||||||
\(480\) | −27.7645 | + | 40.1632i | −1.26727 | + | 1.83319i | ||||
\(481\) | −11.8028 | −0.538163 | ||||||||
\(482\) | 0.580206 | − | 0.623695i | 0.0264277 | − | 0.0284085i | ||||
\(483\) | −5.73510 | + | 2.37556i | −0.260956 | + | 0.108092i | ||||
\(484\) | −29.9420 | + | 34.6120i | −1.36100 | + | 1.57327i | ||||
\(485\) | 1.45169 | − | 3.50468i | 0.0659177 | − | 0.159140i | ||||
\(486\) | 10.0586 | − | 27.0018i | 0.456268 | − | 1.22483i | ||||
\(487\) | −26.4225 | − | 26.4225i | −1.19732 | − | 1.19732i | −0.974967 | − | 0.222349i | \(-0.928627\pi\) |
−0.222349 | − | 0.974967i | \(-0.571373\pi\) | |||||||
\(488\) | 3.26575 | − | 11.1727i | 0.147833 | − | 0.505764i | ||||
\(489\) | 2.41071 | − | 2.41071i | 0.109016 | − | 0.109016i | ||||
\(490\) | 1.89380 | + | 4.14237i | 0.0855532 | + | 0.187133i | ||||
\(491\) | −20.1620 | − | 8.35138i | −0.909898 | − | 0.376892i | −0.121881 | − | 0.992545i | \(-0.538893\pi\) |
−0.788018 | + | 0.615652i | \(0.788893\pi\) | |||||||
\(492\) | −3.97671 | − | 1.31997i | −0.179284 | − | 0.0595090i | ||||
\(493\) | −0.911400 | − | 2.20031i | −0.0410474 | − | 0.0990971i | ||||
\(494\) | 27.8732 | − | 1.00688i | 1.25407 | − | 0.0453017i | ||||
\(495\) | 78.4023i | 3.52392i | ||||||||
\(496\) | 2.45783 | − | 0.357478i | 0.110360 | − | 0.0160512i | ||||
\(497\) | 14.2075i | 0.637295i | ||||||||
\(498\) | 1.27835 | + | 35.3882i | 0.0572843 | + | 1.58578i | ||||
\(499\) | −5.41301 | − | 13.0682i | −0.242319 | − | 0.585011i | 0.755193 | − | 0.655503i | \(-0.227543\pi\) |
−0.997512 | + | 0.0704918i | \(0.977543\pi\) | |||||||
\(500\) | 1.07683 | + | 2.14686i | 0.0481574 | + | 0.0960104i | ||||
\(501\) | 21.4244 | + | 8.87426i | 0.957170 | + | 0.396473i | ||||
\(502\) | −12.6073 | + | 5.76379i | −0.562693 | + | 0.257251i | ||||
\(503\) | −7.30716 | + | 7.30716i | −0.325810 | + | 0.325810i | −0.850991 | − | 0.525181i | \(-0.823998\pi\) |
0.525181 | + | 0.850991i | \(0.323998\pi\) | |||||||
\(504\) | 7.41081 | − | 9.21933i | 0.330104 | − | 0.410662i | ||||
\(505\) | 12.6563 | + | 12.6563i | 0.563196 | + | 0.563196i | ||||
\(506\) | 17.8685 | + | 6.65632i | 0.794354 | + | 0.295910i | ||||
\(507\) | 0.610987 | − | 1.47505i | 0.0271349 | − | 0.0655094i | ||||
\(508\) | 2.11459 | + | 29.2307i | 0.0938200 | + | 1.29690i | ||||
\(509\) | −31.9079 | + | 13.2167i | −1.41429 | + | 0.585818i | −0.953419 | − | 0.301649i | \(-0.902463\pi\) |
−0.460871 | + | 0.887467i | \(0.652463\pi\) | |||||||
\(510\) | 10.0430 | + | 9.34270i | 0.444711 | + | 0.413702i | ||||
\(511\) | 12.0718 | 0.534024 | ||||||||
\(512\) | −20.2711 | − | 10.0541i | −0.895863 | − | 0.444330i | ||||
\(513\) | −17.7390 | −0.783195 | ||||||||
\(514\) | 3.06369 | + | 2.85007i | 0.135134 | + | 0.125711i | ||||
\(515\) | −0.285973 | + | 0.118454i | −0.0126015 | + | 0.00521970i | ||||
\(516\) | −2.90139 | − | 40.1067i | −0.127726 | − | 1.76560i | ||||
\(517\) | 27.5834 | − | 66.5923i | 1.21312 | − | 2.92872i | ||||
\(518\) | −4.44118 | − | 1.65441i | −0.195134 | − | 0.0726906i | ||||
\(519\) | 33.9633 | + | 33.9633i | 1.49082 | + | 1.49082i | ||||
\(520\) | 20.1007 | − | 25.0060i | 0.881474 | − | 1.09659i | ||||
\(521\) | −18.9848 | + | 18.9848i | −0.831740 | + | 0.831740i | −0.987755 | − | 0.156014i | \(-0.950135\pi\) |
0.156014 | + | 0.987755i | \(0.450135\pi\) | |||||||
\(522\) | 11.3998 | − | 5.21173i | 0.498955 | − | 0.228111i | ||||
\(523\) | −6.34733 | − | 2.62915i | −0.277550 | − | 0.114965i | 0.239567 | − | 0.970880i | \(-0.422995\pi\) |
−0.517116 | + | 0.855915i | \(0.672995\pi\) | |||||||
\(524\) | −4.06948 | − | 8.11324i | −0.177776 | − | 0.354429i | ||||
\(525\) | −5.51023 | − | 13.3029i | −0.240486 | − | 0.580585i | ||||
\(526\) | −0.328731 | − | 9.10016i | −0.0143333 | − | 0.396786i | ||||
\(527\) | − | 0.697748i | − | 0.0303944i | ||||||
\(528\) | −61.7489 | + | 8.98103i | −2.68727 | + | 0.390849i | ||||
\(529\) | 17.6346i | 0.766721i | ||||||||
\(530\) | −13.5828 | + | 0.490661i | −0.590000 | + | 0.0213129i | ||||
\(531\) | 20.9106 | + | 50.4827i | 0.907444 | + | 2.19076i | ||||
\(532\) | 10.6293 | + | 3.52813i | 0.460838 | + | 0.152964i | ||||
\(533\) | 2.54370 | + | 1.05364i | 0.110180 | + | 0.0456380i | ||||
\(534\) | 20.1049 | + | 43.9761i | 0.870025 | + | 1.90303i | ||||
\(535\) | 8.93143 | − | 8.93143i | 0.386140 | − | 0.386140i | ||||
\(536\) | −8.26602 | + | 28.2795i | −0.357038 | + | 1.22149i | ||||
\(537\) | 32.3990 | + | 32.3990i | 1.39812 | + | 1.39812i | ||||
\(538\) | −4.38052 | + | 11.7593i | −0.188858 | + | 0.506979i | ||||
\(539\) | −2.22756 | + | 5.37782i | −0.0959480 | + | 0.231639i | ||||
\(540\) | −13.3499 | + | 15.4320i | −0.574488 | + | 0.664089i | ||||
\(541\) | 3.31035 | − | 1.37119i | 0.142323 | − | 0.0589521i | −0.310385 | − | 0.950611i | \(-0.600458\pi\) |
0.452708 | + | 0.891659i | \(0.350458\pi\) | |||||||
\(542\) | 7.61490 | − | 8.18567i | 0.327088 | − | 0.351605i | ||||
\(543\) | −36.6002 | −1.57067 | ||||||||
\(544\) | −3.61474 | + | 5.22896i | −0.154981 | + | 0.224190i | ||||
\(545\) | 33.0975 | 1.41774 | ||||||||
\(546\) | −9.09175 | + | 9.77322i | −0.389091 | + | 0.418255i | ||||
\(547\) | 3.66912 | − | 1.51980i | 0.156880 | − | 0.0649819i | −0.302862 | − | 0.953035i | \(-0.597942\pi\) |
0.459742 | + | 0.888053i | \(0.347942\pi\) | |||||||
\(548\) | 20.9114 | + | 18.0900i | 0.893292 | + | 0.772767i | ||||
\(549\) | 6.58633 | − | 15.9008i | 0.281098 | − | 0.678630i | ||||
\(550\) | −15.4397 | + | 41.4471i | −0.658351 | + | 1.76731i | ||||
\(551\) | 8.39195 | + | 8.39195i | 0.357509 | + | 0.357509i | ||||
\(552\) | 8.43342 | + | 15.3998i | 0.358950 | + | 0.655460i | ||||
\(553\) | −5.23941 | + | 5.23941i | −0.222802 | + | 0.222802i | ||||
\(554\) | −1.65836 | − | 3.62738i | −0.0704569 | − | 0.154113i | ||||
\(555\) | 26.7233 | + | 11.0691i | 1.13434 | + | 0.469859i | ||||
\(556\) | 4.39711 | − | 13.2473i | 0.186479 | − | 0.561810i | ||||
\(557\) | −13.2897 | − | 32.0843i | −0.563105 | − | 1.35946i | −0.907271 | − | 0.420546i | \(-0.861838\pi\) |
0.344166 | − | 0.938909i | \(-0.388162\pi\) | |||||||
\(558\) | 3.66994 | − | 0.132571i | 0.155361 | − | 0.00561220i | ||||
\(559\) | 26.4230i | 1.11757i | ||||||||
\(560\) | 11.0686 | − | 6.59177i | 0.467735 | − | 0.278553i | ||||
\(561\) | 17.5297i | 0.740106i | ||||||||
\(562\) | −1.02570 | − | 28.3942i | −0.0432665 | − | 1.19774i | ||||
\(563\) | −9.26787 | − | 22.3746i | −0.390594 | − | 0.942978i | −0.989811 | − | 0.142391i | \(-0.954521\pi\) |
0.599216 | − | 0.800587i | \(-0.295479\pi\) | |||||||
\(564\) | 59.3255 | − | 29.7568i | 2.49805 | − | 1.25299i | ||||
\(565\) | −29.2114 | − | 12.0998i | −1.22893 | − | 0.509041i | ||||
\(566\) | 5.10308 | − | 2.33301i | 0.214498 | − | 0.0980639i | ||||
\(567\) | −2.86846 | + | 2.86846i | −0.120464 | + | 0.120464i | ||||
\(568\) | 39.9494 | − | 4.34448i | 1.67624 | − | 0.182290i | ||||
\(569\) | 1.02544 | + | 1.02544i | 0.0429886 | + | 0.0429886i | 0.728274 | − | 0.685286i | \(-0.240323\pi\) |
−0.685286 | + | 0.728274i | \(0.740323\pi\) | |||||||
\(570\) | −64.0532 | − | 23.8608i | −2.68289 | − | 0.999420i | ||||
\(571\) | 17.2168 | − | 41.5649i | 0.720499 | − | 1.73944i | 0.0485726 | − | 0.998820i | \(-0.484533\pi\) |
0.671926 | − | 0.740618i | \(-0.265467\pi\) | |||||||
\(572\) | 40.8952 | − | 2.95843i | 1.70991 | − | 0.123698i | ||||
\(573\) | −49.5863 | + | 20.5393i | −2.07150 | + | 0.858042i | ||||
\(574\) | 0.809457 | + | 0.753015i | 0.0337861 | + | 0.0314302i | ||||
\(575\) | 12.4454 | 0.519007 | ||||||||
\(576\) | −28.1895 | − | 18.0189i | −1.17456 | − | 0.750789i | ||||
\(577\) | 35.0309 | 1.45836 | 0.729178 | − | 0.684324i | \(-0.239903\pi\) | ||||
0.729178 | + | 0.684324i | \(0.239903\pi\) | |||||||
\(578\) | −16.2951 | − | 15.1589i | −0.677787 | − | 0.630526i | ||||
\(579\) | 38.7196 | − | 16.0382i | 1.60913 | − | 0.666524i | ||||
\(580\) | 13.6161 | − | 0.985015i | 0.565380 | − | 0.0409005i | ||||
\(581\) | 3.57555 | − | 8.63214i | 0.148339 | − | 0.358121i | ||||
\(582\) | 4.18317 | + | 1.55830i | 0.173398 | + | 0.0645935i | ||||
\(583\) | −12.2824 | − | 12.2824i | −0.508686 | − | 0.508686i | ||||
\(584\) | −3.69139 | − | 33.9440i | −0.152751 | − | 1.40461i | ||||
\(585\) | 33.5435 | − | 33.5435i | 1.38685 | − | 1.38685i | ||||
\(586\) | 14.9889 | − | 6.85259i | 0.619186 | − | 0.283078i | ||||
\(587\) | −39.9549 | − | 16.5499i | −1.64912 | − | 0.683086i | −0.651946 | − | 0.758265i | \(-0.726047\pi\) |
−0.997170 | + | 0.0751787i | \(0.976047\pi\) | |||||||
\(588\) | −4.79097 | + | 2.40308i | −0.197576 | + | 0.0991013i | ||||
\(589\) | 1.33060 | + | 3.21235i | 0.0548264 | + | 0.132363i | ||||
\(590\) | 2.14838 | + | 59.4730i | 0.0884474 | + | 2.44846i | ||||
\(591\) | − | 38.5799i | − | 1.58697i | ||||||
\(592\) | −3.29390 | + | 12.9938i | −0.135378 | + | 0.534043i | ||||
\(593\) | − | 14.9623i | − | 0.614428i | −0.951640 | − | 0.307214i | \(-0.900603\pi\) | ||
0.951640 | − | 0.307214i | \(-0.0993968\pi\) | |||||||
\(594\) | −26.0604 | + | 0.941397i | −1.06927 | + | 0.0386260i | ||||
\(595\) | −1.38500 | − | 3.34369i | −0.0567795 | − | 0.137078i | ||||
\(596\) | 9.73643 | − | 29.3331i | 0.398820 | − | 1.20153i | ||||
\(597\) | 45.7513 | + | 18.9508i | 1.87248 | + | 0.775605i | ||||
\(598\) | −4.79702 | − | 10.4927i | −0.196165 | − | 0.429077i | ||||
\(599\) | 5.32543 | − | 5.32543i | 0.217591 | − | 0.217591i | −0.589892 | − | 0.807483i | \(-0.700830\pi\) |
0.807483 | + | 0.589892i | \(0.200830\pi\) | |||||||
\(600\) | −35.7207 | + | 19.5618i | −1.45829 | + | 0.798607i | ||||
\(601\) | 0.961043 | + | 0.961043i | 0.0392017 | + | 0.0392017i | 0.726436 | − | 0.687234i | \(-0.241175\pi\) |
−0.687234 | + | 0.726436i | \(0.741175\pi\) | |||||||
\(602\) | −3.70373 | + | 9.94246i | −0.150953 | + | 0.405224i | ||||
\(603\) | −16.6708 | + | 40.2470i | −0.678889 | + | 1.63898i | ||||
\(604\) | 8.48365 | + | 7.33901i | 0.345195 | + | 0.298620i | ||||
\(605\) | −68.0889 | + | 28.2034i | −2.76821 | + | 1.14663i | ||||
\(606\) | −14.3461 | + | 15.4214i | −0.582769 | + | 0.626451i | ||||
\(607\) | 14.9244 | 0.605763 | 0.302882 | − | 0.953028i | \(-0.402051\pi\) | ||||
0.302882 | + | 0.953028i | \(0.402051\pi\) | |||||||
\(608\) | 6.67028 | − | 30.9668i | 0.270516 | − | 1.25587i | ||||
\(609\) | −5.67979 | −0.230157 | ||||||||
\(610\) | 12.7674 | − | 13.7244i | 0.516937 | − | 0.555684i | ||||
\(611\) | −40.2920 | + | 16.6895i | −1.63004 | + | 0.675184i | ||||
\(612\) | −6.14921 | + | 7.10828i | −0.248567 | + | 0.287335i | ||||
\(613\) | 8.77913 | − | 21.1947i | 0.354586 | − | 0.856045i | −0.641456 | − | 0.767160i | \(-0.721669\pi\) |
0.996042 | − | 0.0888857i | \(-0.0283306\pi\) | |||||||
\(614\) | 12.2814 | − | 32.9689i | 0.495638 | − | 1.33052i | ||||
\(615\) | −4.77116 | − | 4.77116i | −0.192392 | − | 0.192392i | ||||
\(616\) | 15.8028 | + | 4.61911i | 0.636711 | + | 0.186109i | ||||
\(617\) | 6.04990 | − | 6.04990i | 0.243560 | − | 0.243560i | −0.574761 | − | 0.818321i | \(-0.694905\pi\) |
0.818321 | + | 0.574761i | \(0.194905\pi\) | |||||||
\(618\) | −0.151450 | − | 0.331272i | −0.00609222 | − | 0.0133257i | ||||
\(619\) | 42.1079 | + | 17.4417i | 1.69246 | + | 0.701040i | 0.999796 | − | 0.0202212i | \(-0.00643706\pi\) |
0.692664 | + | 0.721261i | \(0.256437\pi\) | |||||||
\(620\) | 3.79596 | + | 1.25998i | 0.152449 | + | 0.0506019i | ||||
\(621\) | 2.80802 | + | 6.77916i | 0.112682 | + | 0.272038i | ||||
\(622\) | 22.0797 | − | 0.797598i | 0.885314 | − | 0.0319808i | ||||
\(623\) | − | 12.7583i | − | 0.511151i | ||||||
\(624\) | 30.2610 | + | 22.5761i | 1.21141 | + | 0.903767i | ||||
\(625\) | − | 22.9966i | − | 0.919865i | ||||||
\(626\) | 1.11520 | + | 30.8717i | 0.0445722 | + | 1.23388i | ||||
\(627\) | −33.4291 | − | 80.7049i | −1.33503 | − | 3.22304i | ||||
\(628\) | −3.12081 | − | 6.22189i | −0.124534 | − | 0.248280i | ||||
\(629\) | 3.47918 | + | 1.44112i | 0.138724 | + | 0.0574614i | ||||
\(630\) | 17.3236 | − | 7.91997i | 0.690189 | − | 0.315539i | ||||
\(631\) | −28.3911 | + | 28.3911i | −1.13023 | + | 1.13023i | −0.140095 | + | 0.990138i | \(0.544741\pi\) |
−0.990138 | + | 0.140095i | \(0.955259\pi\) | |||||||
\(632\) | 16.3346 | + | 13.1303i | 0.649755 | + | 0.522295i | ||||
\(633\) | 45.7932 | + | 45.7932i | 1.82012 | + | 1.82012i | ||||
\(634\) | −40.4705 | − | 15.0759i | −1.60729 | − | 0.598741i | ||||
\(635\) | −18.0606 | + | 43.6020i | −0.716711 | + | 1.73029i | ||||
\(636\) | −1.15403 | − | 15.9525i | −0.0457603 | − | 0.632559i | ||||
\(637\) | 3.25387 | − | 1.34780i | 0.128923 | − | 0.0534017i | ||||
\(638\) | 12.7740 | + | 11.8833i | 0.505728 | + | 0.470464i | ||||
\(639\) | 59.4165 | 2.35048 | ||||||||
\(640\) | −21.9197 | − | 29.1076i | −0.866452 | − | 1.15058i | ||||
\(641\) | −0.683472 | −0.0269955 | −0.0134978 | − | 0.999909i | \(-0.504297\pi\) | ||||
−0.0134978 | + | 0.999909i | \(0.504297\pi\) | |||||||
\(642\) | 10.8828 | + | 10.1239i | 0.429509 | + | 0.399560i | ||||
\(643\) | −0.843549 | + | 0.349409i | −0.0332663 | + | 0.0137794i | −0.399255 | − | 0.916840i | \(-0.630731\pi\) |
0.365988 | + | 0.930619i | \(0.380731\pi\) | |||||||
\(644\) | −0.334262 | − | 4.62060i | −0.0131718 | − | 0.182077i | ||||
\(645\) | 24.7805 | − | 59.8254i | 0.975731 | − | 2.35562i | ||||
\(646\) | −8.33927 | − | 3.10651i | −0.328104 | − | 0.122224i | ||||
\(647\) | −11.9251 | − | 11.9251i | −0.468826 | − | 0.468826i | 0.432708 | − | 0.901534i | \(-0.357558\pi\) |
−0.901534 | + | 0.432708i | \(0.857558\pi\) | |||||||
\(648\) | 8.94283 | + | 7.18855i | 0.351307 | + | 0.282393i | ||||
\(649\) | −53.7792 | + | 53.7792i | −2.11102 | + | 2.11102i | ||||
\(650\) | 24.3383 | − | 11.1270i | 0.954628 | − | 0.436435i | ||||
\(651\) | −1.53737 | − | 0.636798i | −0.0602541 | − | 0.0249581i | ||||
\(652\) | 1.14072 | + | 2.27423i | 0.0446741 | + | 0.0890657i | ||||
\(653\) | 3.30886 | + | 7.98830i | 0.129486 | + | 0.312606i | 0.975305 | − | 0.220864i | \(-0.0708877\pi\) |
−0.845819 | + | 0.533470i | \(0.820888\pi\) | |||||||
\(654\) | 1.40603 | + | 38.9226i | 0.0549800 | + | 1.52200i | ||||
\(655\) | − | 14.6165i | − | 0.571115i | ||||||
\(656\) | 1.86984 | − | 2.50633i | 0.0730051 | − | 0.0978559i | ||||
\(657\) | − | 50.4847i | − | 1.96960i | ||||||
\(658\) | −17.5005 | + | 0.632181i | −0.682239 | + | 0.0246450i | ||||
\(659\) | −15.6304 | − | 37.7350i | −0.608872 | − | 1.46995i | −0.864228 | − | 0.503100i | \(-0.832193\pi\) |
0.255356 | − | 0.966847i | \(-0.417807\pi\) | |||||||
\(660\) | −95.3671 | − | 31.6548i | −3.71216 | − | 1.23216i | ||||
\(661\) | 20.5509 | + | 8.51245i | 0.799336 | + | 0.331096i | 0.744690 | − | 0.667410i | \(-0.232597\pi\) |
0.0546455 | + | 0.998506i | \(0.482597\pi\) | |||||||
\(662\) | −0.318362 | − | 0.696364i | −0.0123735 | − | 0.0270650i | ||||
\(663\) | 7.49990 | − | 7.49990i | 0.291272 | − | 0.291272i | ||||
\(664\) | −25.3656 | − | 7.41431i | −0.984377 | − | 0.287731i | ||||
\(665\) | 12.7528 | + | 12.7528i | 0.494531 | + | 0.494531i | ||||
\(666\) | −6.91882 | + | 18.5732i | −0.268099 | + | 0.719698i | ||||
\(667\) | 1.87867 | − | 4.53550i | 0.0727422 | − | 0.175615i | ||||
\(668\) | −11.3224 | + | 13.0883i | −0.438076 | + | 0.506401i | ||||
\(669\) | −19.0804 | + | 7.90335i | −0.737690 | + | 0.305561i | ||||
\(670\) | −32.3159 | + | 34.7381i | −1.24847 | + | 1.34205i | ||||
\(671\) | 23.9555 | 0.924793 | ||||||||
\(672\) | 8.22211 | + | 12.7367i | 0.317175 | + | 0.491327i | ||||
\(673\) | −13.0268 | −0.502147 | −0.251073 | − | 0.967968i | \(-0.580784\pi\) | ||||
−0.251073 | + | 0.967968i | \(0.580784\pi\) | |||||||
\(674\) | −2.21131 | + | 2.37706i | −0.0851764 | + | 0.0915608i | ||||
\(675\) | −15.7246 | + | 6.51336i | −0.605241 | + | 0.250699i | ||||
\(676\) | 0.901121 | + | 0.779539i | 0.0346585 | + | 0.0299823i | ||||
\(677\) | −3.47399 | + | 8.38695i | −0.133516 | + | 0.322337i | −0.976471 | − | 0.215647i | \(-0.930814\pi\) |
0.842955 | + | 0.537984i | \(0.180814\pi\) | |||||||
\(678\) | 12.9884 | − | 34.8666i | 0.498815 | − | 1.33904i | ||||
\(679\) | −0.832854 | − | 0.832854i | −0.0319620 | − | 0.0319620i | ||||
\(680\) | −8.97843 | + | 4.91687i | −0.344307 | + | 0.188553i | ||||
\(681\) | 10.7654 | − | 10.7654i | 0.412529 | − | 0.412529i | ||||
\(682\) | 2.12527 | + | 4.64866i | 0.0813807 | + | 0.178007i | ||||
\(683\) | 20.5580 | + | 8.51541i | 0.786631 | + | 0.325833i | 0.739588 | − | 0.673060i | \(-0.235020\pi\) |
0.0470427 | + | 0.998893i | \(0.485020\pi\) | |||||||
\(684\) | 14.7548 | − | 44.4522i | 0.564165 | − | 1.69967i | ||||
\(685\) | 17.0396 | + | 41.1371i | 0.651048 | + | 1.57177i | ||||
\(686\) | 1.41329 | − | 0.0510532i | 0.0539597 | − | 0.00194922i | ||||
\(687\) | − | 33.4957i | − | 1.27794i | ||||||
\(688\) | 29.0892 | + | 7.37404i | 1.10902 | + | 0.281133i | ||||
\(689\) | 10.5098i | 0.400391i | ||||||||
\(690\) | 1.02070 | + | 28.2557i | 0.0388574 | + | 1.07568i | ||||
\(691\) | −2.26569 | − | 5.46986i | −0.0861909 | − | 0.208083i | 0.874907 | − | 0.484291i | \(-0.160922\pi\) |
−0.961098 | + | 0.276208i | \(0.910922\pi\) | |||||||
\(692\) | −32.0406 | + | 16.0711i | −1.21800 | + | 0.610931i | ||||
\(693\) | 22.4903 | + | 9.31578i | 0.854335 | + | 0.353877i | ||||
\(694\) | 0.394065 | − | 0.180158i | 0.0149585 | − | 0.00683870i | ||||
\(695\) | 15.8938 | − | 15.8938i | 0.602885 | − | 0.602885i | ||||
\(696\) | 1.73681 | + | 15.9707i | 0.0658335 | + | 0.605368i | ||||
\(697\) | −0.621171 | − | 0.621171i | −0.0235285 | − | 0.0235285i | ||||
\(698\) | 27.0561 | + | 10.0788i | 1.02409 | + | 0.381489i | ||||
\(699\) | −8.45153 | + | 20.4038i | −0.319666 | + | 0.771743i | ||||
\(700\) | 10.7177 | − | 0.775338i | 0.405092 | − | 0.0293050i | ||||
\(701\) | 40.4514 | − | 16.7555i | 1.52783 | − | 0.632847i | 0.548687 | − | 0.836028i | \(-0.315128\pi\) |
0.979141 | + | 0.203180i | \(0.0651277\pi\) | |||||||
\(702\) | 11.5524 | + | 10.7469i | 0.436018 | + | 0.405615i | ||||
\(703\) | −18.7660 | −0.707772 | ||||||||
\(704\) | 8.15595 | − | 45.8474i | 0.307389 | − | 1.72794i | ||||
\(705\) | 106.879 | 4.02529 | ||||||||
\(706\) | −14.1365 | − | 13.1508i | −0.532035 | − | 0.494937i | ||||
\(707\) | 5.13436 | − | 2.12672i | 0.193097 | − | 0.0799835i | ||||
\(708\) | −69.8488 | + | 5.05298i | −2.62508 | + | 0.189903i | ||||
\(709\) | 12.7979 | − | 30.8968i | 0.480634 | − | 1.16035i | −0.478675 | − | 0.877992i | \(-0.658883\pi\) |
0.959309 | − | 0.282360i | \(-0.0911172\pi\) | |||||||
\(710\) | 60.6408 | + | 22.5897i | 2.27581 | + | 0.847776i | ||||
\(711\) | 21.9115 | + | 21.9115i | 0.821744 | + | 0.821744i | ||||
\(712\) | −35.8744 | + | 3.90133i | −1.34445 | + | 0.146208i | ||||
\(713\) | 1.01701 | − | 1.01701i | 0.0380872 | − | 0.0380872i | ||||
\(714\) | 3.87333 | − | 1.77080i | 0.144956 | − | 0.0662706i | ||||
\(715\) | 61.0015 | + | 25.2676i | 2.28133 | + | 0.944956i | ||||
\(716\) | −30.5648 | + | 15.3308i | −1.14226 | + | 0.572941i | ||||
\(717\) | 5.36790 | + | 12.9593i | 0.200468 | + | 0.483972i | ||||
\(718\) | −0.740161 | − | 20.4897i | −0.0276226 | − | 0.764668i | ||||
\(719\) | 38.6027i | 1.43964i | 0.694162 | + | 0.719818i | \(0.255775\pi\) | ||||
−0.694162 | + | 0.719818i | \(0.744225\pi\) | |||||||
\(720\) | −27.5671 | − | 46.2895i | −1.02736 | − | 1.72511i | ||||
\(721\) | 0.0961082i | 0.00357926i | ||||||||
\(722\) | 17.4646 | − | 0.630883i | 0.649963 | − | 0.0234790i | ||||
\(723\) | 0.617743 | + | 1.49136i | 0.0229741 | + | 0.0554644i | ||||
\(724\) | 8.60468 | − | 25.9235i | 0.319790 | − | 0.963439i | ||||
\(725\) | 10.5203 | + | 4.35767i | 0.390716 | + | 0.161840i | ||||
\(726\) | −36.0596 | − | 78.8743i | −1.33830 | − | 2.92730i | ||||
\(727\) | 15.7873 | − | 15.7873i | 0.585518 | − | 0.585518i | −0.350896 | − | 0.936414i | \(-0.614123\pi\) |
0.936414 | + | 0.350896i | \(0.114123\pi\) | |||||||
\(728\) | −4.78480 | − | 8.73726i | −0.177336 | − | 0.323824i | ||||
\(729\) | 30.0050 | + | 30.0050i | 1.11130 | + | 1.11130i | ||||
\(730\) | 19.1939 | − | 51.5250i | 0.710397 | − | 1.90702i | ||||
\(731\) | 3.22624 | − | 7.78884i | 0.119327 | − | 0.288081i | ||||
\(732\) | 16.6822 | + | 14.4314i | 0.616593 | + | 0.533400i | ||||
\(733\) | 19.7726 | − | 8.19007i | 0.730317 | − | 0.302507i | 0.0136346 | − | 0.999907i | \(-0.495660\pi\) |
0.716682 | + | 0.697400i | \(0.245660\pi\) | |||||||
\(734\) | 3.76072 | − | 4.04260i | 0.138811 | − | 0.149215i | ||||
\(735\) | −8.63125 | −0.318368 | ||||||||
\(736\) | −12.8902 | + | 2.35281i | −0.475139 | + | 0.0867258i | ||||
\(737\) | −60.6344 | −2.23350 | ||||||||
\(738\) | 3.14914 | − | 3.38519i | 0.115922 | − | 0.124611i | ||||
\(739\) | −35.5446 | + | 14.7231i | −1.30753 | + | 0.541597i | −0.924163 | − | 0.381999i | \(-0.875236\pi\) |
−0.383368 | + | 0.923596i | \(0.625236\pi\) | |||||||
\(740\) | −14.1228 | + | 16.3255i | −0.519164 | + | 0.600136i | ||||
\(741\) | −20.2264 | + | 48.8309i | −0.743036 | + | 1.79385i | ||||
\(742\) | −1.47316 | + | 3.95463i | −0.0540815 | + | 0.145179i | ||||
\(743\) | 26.2045 | + | 26.2045i | 0.961351 | + | 0.961351i | 0.999280 | − | 0.0379295i | \(-0.0120762\pi\) |
−0.0379295 | + | 0.999280i | \(0.512076\pi\) | |||||||
\(744\) | −1.32047 | + | 4.51757i | −0.0484109 | + | 0.165622i | ||||
\(745\) | 35.1932 | − | 35.1932i | 1.28938 | − | 1.28938i | ||||
\(746\) | −2.34839 | − | 5.13671i | −0.0859807 | − | 0.188068i | ||||
\(747\) | −36.1000 | − | 14.9531i | −1.32083 | − | 0.547106i | ||||
\(748\) | −12.4161 | − | 4.12123i | −0.453978 | − | 0.150687i | ||||
\(749\) | −1.50081 | − | 3.62328i | −0.0548385 | − | 0.132392i | ||||
\(750\) | −4.54841 | + | 0.164305i | −0.166085 | + | 0.00599958i | ||||
\(751\) | − | 27.5199i | − | 1.00421i | −0.864805 | − | 0.502107i | \(-0.832558\pi\) | ||
0.864805 | − | 0.502107i | \(-0.167442\pi\) | |||||||
\(752\) | 7.12902 | + | 49.0154i | 0.259968 | + | 1.78741i | ||||
\(753\) | − | 26.2692i | − | 0.957304i | ||||||
\(754\) | −0.381081 | − | 10.5493i | −0.0138781 | − | 0.384184i | ||||
\(755\) | 6.91285 | + | 16.6891i | 0.251584 | + | 0.607378i | ||||
\(756\) | 2.84055 | + | 5.66316i | 0.103310 | + | 0.205967i | ||||
\(757\) | −9.91107 | − | 4.10530i | −0.360224 | − | 0.149210i | 0.195229 | − | 0.980758i | \(-0.437455\pi\) |
−0.555453 | + | 0.831548i | \(0.687455\pi\) | |||||||
\(758\) | 15.6800 | − | 7.16856i | 0.569524 | − | 0.260374i | ||||
\(759\) | −25.5506 | + | 25.5506i | −0.927428 | + | 0.927428i | ||||
\(760\) | 31.9592 | − | 39.7585i | 1.15928 | − | 1.44219i | ||||
\(761\) | −25.5121 | − | 25.5121i | −0.924812 | − | 0.924812i | 0.0725526 | − | 0.997365i | \(-0.476885\pi\) |
−0.997365 | + | 0.0725526i | \(0.976885\pi\) | |||||||
\(762\) | −52.0431 | − | 19.3869i | −1.88532 | − | 0.702313i | ||||
\(763\) | 3.93266 | − | 9.49427i | 0.142372 | − | 0.343716i | ||||
\(764\) | −2.89006 | − | 39.9502i | −0.104559 | − | 1.44535i | ||||
\(765\) | −13.9835 | + | 5.79214i | −0.505573 | + | 0.209415i | ||||
\(766\) | −17.8716 | − | 16.6255i | −0.645729 | − | 0.600703i | ||||
\(767\) | 46.0176 | 1.66160 | ||||||||
\(768\) | 33.2993 | − | 27.0140i | 1.20159 | − | 0.974786i | ||||
\(769\) | −16.1430 | −0.582130 | −0.291065 | − | 0.956703i | \(-0.594010\pi\) | ||||
−0.291065 | + | 0.956703i | \(0.594010\pi\) | |||||||
\(770\) | 19.4119 | + | 18.0584i | 0.699557 | + | 0.650778i | ||||
\(771\) | −7.32582 | + | 3.03445i | −0.263833 | + | 0.109283i | ||||
\(772\) | 2.25671 | + | 31.1952i | 0.0812209 | + | 1.12274i | ||||
\(773\) | −7.53363 | + | 18.1878i | −0.270966 | + | 0.654170i | −0.999525 | − | 0.0308132i | \(-0.990190\pi\) |
0.728559 | + | 0.684983i | \(0.240190\pi\) | |||||||
\(774\) | 41.5798 | + | 15.4892i | 1.49456 | + | 0.556746i | ||||
\(775\) | 2.35901 | + | 2.35901i | 0.0847380 | + | 0.0847380i | ||||
\(776\) | −2.08718 | + | 2.59654i | −0.0749256 | + | 0.0932102i | ||||
\(777\) | 6.35053 | − | 6.35053i | 0.227824 | − | 0.227824i | ||||
\(778\) | 10.1073 | − | 4.62082i | 0.362363 | − | 0.165664i | ||||
\(779\) | 4.04437 | + | 1.67523i | 0.144904 | + | 0.0600214i | ||||
\(780\) | 27.2586 | + | 54.3448i | 0.976013 | + | 1.94586i | ||||
\(781\) | 31.6482 | + | 76.4054i | 1.13246 | + | 2.73400i | ||||
\(782\) | 0.132888 | + | 3.67870i | 0.00475206 | + | 0.131550i | ||||
\(783\) | 6.71378i | 0.239931i | ||||||||
\(784\) | −0.575720 | − | 3.95835i | −0.0205614 | − | 0.141370i | ||||
\(785\) | − | 11.2091i | − | 0.400071i | ||||||
\(786\) | 17.1890 | − | 0.620930i | 0.613112 | − | 0.0221478i | ||||
\(787\) | −0.899001 | − | 2.17038i | −0.0320459 | − | 0.0773657i | 0.907046 | − | 0.421031i | \(-0.138332\pi\) |
−0.939092 | + | 0.343665i | \(0.888332\pi\) | |||||||
\(788\) | 27.3257 | + | 9.07011i | 0.973439 | + | 0.323109i | ||||
\(789\) | 15.9425 | + | 6.60360i | 0.567568 | + | 0.235094i | ||||
\(790\) | 14.0324 | + | 30.6935i | 0.499250 | + | 1.09203i | ||||
\(791\) | −6.94182 | + | 6.94182i | −0.246823 | + | 0.246823i | ||||
\(792\) | 19.3173 | − | 66.0879i | 0.686411 | − | 2.34833i | ||||
\(793\) | −10.2491 | − | 10.2491i | −0.363956 | − | 0.363956i | ||||
\(794\) | 0.905217 | − | 2.43001i | 0.0321249 | − | 0.0862378i | ||||
\(795\) | 9.85648 | − | 23.7956i | 0.349573 | − | 0.843945i | ||||
\(796\) | −24.1787 | + | 27.9498i | −0.856992 | + | 0.990654i | ||||
\(797\) | −33.6100 | + | 13.9217i | −1.19053 | + | 0.493133i | −0.887927 | − | 0.459985i | \(-0.847855\pi\) |
−0.302601 | + | 0.953117i | \(0.597855\pi\) | |||||||
\(798\) | −14.4555 | + | 15.5390i | −0.511718 | + | 0.550074i | ||||
\(799\) | 13.9149 | 0.492272 | ||||||||
\(800\) | −5.45748 | − | 29.8995i | −0.192951 | − | 1.05711i | ||||
\(801\) | −53.3559 | −1.88524 | ||||||||
\(802\) | −1.22052 | + | 1.31201i | −0.0430981 | + | 0.0463285i | ||||
\(803\) | 64.9198 | − | 26.8906i | 2.29097 | − | 0.948950i | ||||
\(804\) | −42.2248 | − | 36.5277i | −1.48915 | − | 1.28823i | ||||
\(805\) | 2.85490 | − | 6.89233i | 0.100622 | − | 0.242923i | ||||
\(806\) | 1.07961 | − | 2.89815i | 0.0380275 | − | 0.102083i | ||||
\(807\) | −16.8148 | − | 16.8148i | −0.591910 | − | 0.591910i | ||||
\(808\) | −7.55004 | − | 13.7867i | −0.265609 | − | 0.485015i | ||||
\(809\) | −25.3002 | + | 25.3002i | −0.889507 | + | 0.889507i | −0.994476 | − | 0.104969i | \(-0.966526\pi\) |
0.104969 | + | 0.994476i | \(0.466526\pi\) | |||||||
\(810\) | 7.68243 | + | 16.8040i | 0.269933 | + | 0.590434i | ||||
\(811\) | −18.0148 | − | 7.46198i | −0.632586 | − | 0.262026i | 0.0432656 | − | 0.999064i | \(-0.486224\pi\) |
−0.675851 | + | 0.737038i | \(0.736224\pi\) | |||||||
\(812\) | 1.33531 | − | 4.02293i | 0.0468604 | − | 0.141177i | ||||
\(813\) | 8.10755 | + | 19.5734i | 0.284344 | + | 0.686468i | ||||
\(814\) | −27.5691 | + | 0.995898i | −0.966298 | + | 0.0349062i | ||||
\(815\) | 4.09718i | 0.143518i | ||||||||
\(816\) | −6.16364 | − | 10.3497i | −0.215771 | − | 0.362313i | ||||
\(817\) | 42.0113i | 1.46979i | ||||||||
\(818\) | 0.299515 | + | 8.29139i | 0.0104723 | + | 0.289902i | ||||
\(819\) | −5.63656 | − | 13.6078i | −0.196957 | − | 0.475497i | ||||
\(820\) | 4.50105 | − | 2.25766i | 0.157184 | − | 0.0788410i | ||||
\(821\) | −20.3935 | − | 8.44725i | −0.711737 | − | 0.294811i | −0.00271357 | − | 0.999996i | \(-0.500864\pi\) |
−0.709023 | + | 0.705185i | \(0.750864\pi\) | |||||||
\(822\) | −47.6533 | + | 21.7860i | −1.66210 | + | 0.759875i | ||||
\(823\) | −21.3439 | + | 21.3439i | −0.744003 | + | 0.744003i | −0.973346 | − | 0.229343i | \(-0.926342\pi\) |
0.229343 | + | 0.973346i | \(0.426342\pi\) | |||||||
\(824\) | 0.270242 | − | 0.0293886i | 0.00941431 | − | 0.00102380i | ||||
\(825\) | −59.2660 | − | 59.2660i | −2.06338 | − | 2.06338i | ||||
\(826\) | 17.3155 | + | 6.45031i | 0.602484 | + | 0.224435i | ||||
\(827\) | 6.76818 | − | 16.3398i | 0.235353 | − | 0.568192i | −0.761438 | − | 0.648237i | \(-0.775507\pi\) |
0.996791 | + | 0.0800454i | \(0.0255065\pi\) | |||||||
\(828\) | −19.3236 | + | 1.39790i | −0.671540 | + | 0.0485803i | ||||
\(829\) | −46.1490 | + | 19.1156i | −1.60282 | + | 0.663911i | −0.991811 | − | 0.127712i | \(-0.959237\pi\) |
−0.611011 | + | 0.791622i | \(0.709237\pi\) | |||||||
\(830\) | −31.1588 | − | 28.9862i | −1.08154 | − | 1.00612i | ||||
\(831\) | 7.55819 | 0.262191 | ||||||||
\(832\) | −23.1047 | + | 16.1259i | −0.801012 | + | 0.559064i | ||||
\(833\) | −1.12373 | −0.0389348 | ||||||||
\(834\) | 19.3662 | + | 18.0158i | 0.670597 | + | 0.623838i | ||||
\(835\) | −25.7474 | + | 10.6649i | −0.891025 | + | 0.369075i | ||||
\(836\) | 65.0215 | − | 4.70376i | 2.24881 | − | 0.162683i | ||||
\(837\) | −0.752725 | + | 1.81724i | −0.0260180 | + | 0.0628130i | ||||
\(838\) | −32.0852 | − | 11.9522i | −1.10836 | − | 0.412883i | ||||
\(839\) | −18.0679 | − | 18.0679i | −0.623774 | − | 0.623774i | 0.322720 | − | 0.946494i | \(-0.395403\pi\) |
−0.946494 | + | 0.322720i | \(0.895403\pi\) | |||||||
\(840\) | 2.63932 | + | 24.2698i | 0.0910653 | + | 0.837386i | ||||
\(841\) | −17.3299 | + | 17.3299i | −0.597584 | + | 0.597584i | ||||
\(842\) | −3.66983 | + | 1.67777i | −0.126471 | + | 0.0578196i | ||||
\(843\) | 49.7435 | + | 20.6044i | 1.71326 | + | 0.709655i | ||||
\(844\) | −43.2007 | + | 21.6688i | −1.48703 | + | 0.745872i | ||||
\(845\) | 0.734273 | + | 1.77269i | 0.0252597 | + | 0.0609824i | ||||
\(846\) | 2.64381 | + | 73.1878i | 0.0908960 | + | 2.51625i | ||||
\(847\) | 22.8829i | 0.786267i | ||||||||
\(848\) | 11.5703 | + | 2.93304i | 0.397326 | + | 0.100721i | ||||
\(849\) | 10.6330i | 0.364924i | ||||||||
\(850\) | −8.53294 | + | 0.308241i | −0.292678 | + | 0.0105726i | ||||
\(851\) | 2.97059 | + | 7.17163i | 0.101830 | + | 0.245840i | ||||
\(852\) | −23.9893 | + | 72.2731i | −0.821860 | + | 2.47604i | ||||
\(853\) | 26.8170 | + | 11.1080i | 0.918196 | + | 0.380329i | 0.791189 | − | 0.611572i | \(-0.209463\pi\) |
0.127008 | + | 0.991902i | \(0.459463\pi\) | |||||||
\(854\) | −2.41991 | − | 5.29316i | −0.0828078 | − | 0.181128i | ||||
\(855\) | 53.3326 | − | 53.3326i | 1.82394 | − | 1.82394i | ||||
\(856\) | −9.72919 | + | 5.32801i | −0.332537 | + | 0.182108i | ||||
\(857\) | −37.5099 | − | 37.5099i | −1.28131 | − | 1.28131i | −0.939921 | − | 0.341392i | \(-0.889102\pi\) |
−0.341392 | − | 0.939921i | \(-0.610898\pi\) | |||||||
\(858\) | −27.1233 | + | 72.8110i | −0.925973 | + | 2.48573i | ||||
\(859\) | 10.4024 | − | 25.1137i | 0.354927 | − | 0.856870i | −0.641070 | − | 0.767482i | \(-0.721509\pi\) |
0.995997 | − | 0.0893871i | \(-0.0284908\pi\) | |||||||
\(860\) | 36.5478 | + | 31.6166i | 1.24627 | + | 1.07812i | ||||
\(861\) | −1.93555 | + | 0.801732i | −0.0659634 | + | 0.0273230i | ||||
\(862\) | 8.31859 | − | 8.94211i | 0.283332 | − | 0.304569i | ||||
\(863\) | −35.1032 | −1.19493 | −0.597464 | − | 0.801896i | \(-0.703825\pi\) | ||||
−0.597464 | + | 0.801896i | \(0.703825\pi\) | |||||||
\(864\) | 15.0553 | − | 9.71893i | 0.512193 | − | 0.330645i | ||||
\(865\) | −57.7232 | −1.96265 | ||||||||
\(866\) | 4.63987 | − | 4.98765i | 0.157669 | − | 0.169487i | ||||
\(867\) | 38.9644 | − | 16.1396i | 1.32330 | − | 0.548129i | ||||
\(868\) | 0.812470 | − | 0.939188i | 0.0275770 | − | 0.0318781i | ||||
\(869\) | −16.5055 | + | 39.8477i | −0.559910 | + | 1.35174i | ||||
\(870\) | −9.03076 | + | 24.2426i | −0.306171 | + | 0.821901i | ||||
\(871\) | 25.9417 | + | 25.9417i | 0.879002 | + | 0.879002i | ||||
\(872\) | −27.8990 | − | 8.15481i | −0.944780 | − | 0.276157i | ||||
\(873\) | −3.48304 | + | 3.48304i | −0.117883 | + | 0.117883i | ||||
\(874\) | −7.62704 | − | 16.6829i | −0.257989 | − | 0.564307i | ||||
\(875\) | 1.10948 | + | 0.459561i | 0.0375073 | + | 0.0155360i | ||||
\(876\) | 61.4086 | + | 20.3831i | 2.07481 | + | 0.688681i | ||||
\(877\) | −5.69878 | − | 13.7581i | −0.192434 | − | 0.464577i | 0.797984 | − | 0.602679i | \(-0.205900\pi\) |
−0.990418 | + | 0.138102i | \(0.955900\pi\) | |||||||
\(878\) | −19.1413 | + | 0.691455i | −0.645989 | + | 0.0233355i | ||||
\(879\) | 31.2316i | 1.05342i | ||||||||
\(880\) | 44.8414 | − | 60.1054i | 1.51160 | − | 2.02615i | ||||
\(881\) | − | 22.9174i | − | 0.772108i | −0.922476 | − | 0.386054i | \(-0.873838\pi\) | ||
0.922476 | − | 0.386054i | \(-0.126162\pi\) | |||||||
\(882\) | −0.213507 | − | 5.91045i | −0.00718916 | − | 0.199015i | ||||
\(883\) | 15.3437 | + | 37.0430i | 0.516357 | + | 1.24660i | 0.940127 | + | 0.340826i | \(0.110707\pi\) |
−0.423770 | + | 0.905770i | \(0.639293\pi\) | |||||||
\(884\) | 3.54887 | + | 7.07531i | 0.119361 | + | 0.237968i | ||||
\(885\) | −104.190 | − | 43.1570i | −3.50232 | − | 1.45071i | ||||
\(886\) | 43.5619 | − | 19.9156i | 1.46349 | − | 0.669076i | ||||
\(887\) | −5.52843 | + | 5.52843i | −0.185626 | + | 0.185626i | −0.793802 | − | 0.608176i | \(-0.791902\pi\) |
0.608176 | + | 0.793802i | \(0.291902\pi\) | |||||||
\(888\) | −19.7986 | − | 15.9148i | −0.664399 | − | 0.534067i | ||||
\(889\) | 10.3616 | + | 10.3616i | 0.347517 | + | 0.347517i | ||||
\(890\) | −54.4553 | − | 20.2855i | −1.82535 | − | 0.679970i | ||||
\(891\) | −9.03638 | + | 21.8158i | −0.302730 | + | 0.730855i | ||||
\(892\) | −1.11207 | − | 15.3725i | −0.0372349 | − | 0.514709i | ||||
\(893\) | −64.0624 | + | 26.5355i | −2.14377 | + | 0.887977i | ||||
\(894\) | 42.8822 | + | 39.8921i | 1.43419 | + | 1.33419i | ||||
\(895\) | −55.0645 | −1.84060 | ||||||||
\(896\) | −10.9542 | + | 2.82925i | −0.365955 | + | 0.0945187i | ||||
\(897\) | 21.8630 | 0.729986 | ||||||||
\(898\) | −6.52892 | − | 6.07366i | −0.217873 | − | 0.202681i | ||||
\(899\) | 1.21580 | − | 0.503600i | 0.0405491 | − | 0.0167960i | ||||
\(900\) | −3.24250 | − | 44.8220i | −0.108083 | − | 1.49407i | ||||
\(901\) | 1.28324 | − | 3.09802i | 0.0427510 | − | 0.103210i | ||||
\(902\) | 6.03050 | + | 2.24646i | 0.200794 | + | 0.0747989i | ||||
\(903\) | −14.2169 | − | 14.2169i | −0.473110 | − | 0.473110i | ||||
\(904\) | 21.6421 | + | 17.3966i | 0.719804 | + | 0.578603i | ||||
\(905\) | 31.1024 | − | 31.1024i | 1.03388 | − | 1.03388i | ||||
\(906\) | −19.3327 | + | 8.83847i | −0.642285 | + | 0.293639i | ||||
\(907\) | 36.5039 | + | 15.1204i | 1.21209 | + | 0.502065i | 0.894887 | − | 0.446293i | \(-0.147256\pi\) |
0.317204 | + | 0.948357i | \(0.397256\pi\) | |||||||
\(908\) | 5.09405 | + | 10.1559i | 0.169052 | + | 0.337036i | ||||
\(909\) | −8.89405 | − | 21.4721i | −0.294997 | − | 0.712185i | ||||
\(910\) | −0.579106 | − | 16.0312i | −0.0191972 | − | 0.531430i | ||||
\(911\) | 47.8533i | 1.58545i | 0.609580 | + | 0.792725i | \(0.291338\pi\) | ||||
−0.609580 | + | 0.792725i | \(0.708662\pi\) | |||||||
\(912\) | 48.1135 | + | 35.8950i | 1.59320 | + | 1.18860i | ||||
\(913\) | − | 54.3868i | − | 1.79994i | ||||||
\(914\) | 29.1300 | − | 1.05228i | 0.963535 | − | 0.0348064i | ||||
\(915\) | 13.5934 | + | 32.8174i | 0.449384 | + | 1.08491i | ||||
\(916\) | 23.7246 | + | 7.87482i | 0.783884 | + | 0.260191i | ||||
\(917\) | −4.19286 | − | 1.73674i | −0.138460 | − | 0.0573522i | ||||
\(918\) | −2.09317 | − | 4.57846i | −0.0690850 | − | 0.151112i | ||||
\(919\) | 17.7323 | − | 17.7323i | 0.584935 | − | 0.584935i | −0.351320 | − | 0.936255i | \(-0.614267\pi\) |
0.936255 | + | 0.351320i | \(0.114267\pi\) | |||||||
\(920\) | −20.2532 | − | 5.91995i | −0.667728 | − | 0.195175i | ||||
\(921\) | 47.1429 | + | 47.1429i | 1.55341 | + | 1.55341i | ||||
\(922\) | 16.2986 | − | 43.7527i | 0.536766 | − | 1.44092i | ||||
\(923\) | 19.1489 | − | 46.2295i | 0.630293 | − | 1.52166i | ||||
\(924\) | −20.4119 | + | 23.5955i | −0.671503 | + | 0.776235i | ||||
\(925\) | −16.6350 | + | 6.89044i | −0.546955 | + | 0.226556i | ||||
\(926\) | 6.61445 | − | 7.11023i | 0.217364 | − | 0.233657i | ||||
\(927\) | 0.401929 | 0.0132011 | ||||||||
\(928\) | −11.7202 | − | 2.52454i | −0.384734 | − | 0.0828722i | ||||
\(929\) | −4.53459 | −0.148775 | −0.0743876 | − | 0.997229i | \(-0.523700\pi\) | ||||
−0.0743876 | + | 0.997229i | \(0.523700\pi\) | |||||||
\(930\) | −5.16238 | + | 5.54932i | −0.169281 | + | 0.181969i | ||||
\(931\) | 5.17351 | − | 2.14294i | 0.169555 | − | 0.0702319i | ||||
\(932\) | −12.4648 | − | 10.7830i | −0.408299 | − | 0.353210i | ||||
\(933\) | −16.0223 | + | 38.6812i | −0.524546 | + | 1.26637i | ||||
\(934\) | −4.96406 | + | 13.3258i | −0.162429 | + | 0.436032i | ||||
\(935\) | −14.8966 | − | 14.8966i | −0.487169 | − | 0.487169i | ||||
\(936\) | −36.5396 | + | 20.0102i | −1.19434 | + | 0.654055i | ||||
\(937\) | 24.5140 | − | 24.5140i | 0.800838 | − | 0.800838i | −0.182388 | − | 0.983227i | \(-0.558383\pi\) |
0.983227 | + | 0.182388i | \(0.0583828\pi\) | |||||||
\(938\) | 6.12511 | + | 13.3976i | 0.199992 | + | 0.437449i | ||||
\(939\) | −54.0839 | − | 22.4023i | −1.76496 | − | 0.731070i | ||||
\(940\) | −25.1271 | + | 75.7010i | −0.819556 | + | 2.46909i | ||||
\(941\) | −12.9562 | − | 31.2791i | −0.422361 | − | 1.01967i | −0.981649 | − | 0.190697i | \(-0.938925\pi\) |
0.559288 | − | 0.828974i | \(-0.311075\pi\) | |||||||
\(942\) | 13.1819 | − | 0.476179i | 0.429490 | − | 0.0155147i | ||||
\(943\) | − | 1.81078i | − | 0.0589673i | ||||||
\(944\) | 12.8424 | − | 50.6611i | 0.417986 | − | 1.64888i | ||||
\(945\) | 10.2025i | 0.331889i | ||||||||
\(946\) | 2.22951 | + | 61.7190i | 0.0724878 | + | 2.00666i | ||||
\(947\) | −0.0241472 | − | 0.0582964i | −0.000784678 | − | 0.00189438i | 0.923487 | − | 0.383630i | \(-0.125326\pi\) |
−0.924271 | + | 0.381736i | \(0.875326\pi\) | |||||||
\(948\) | −35.4994 | + | 17.8060i | −1.15297 | + | 0.578311i | ||||
\(949\) | −39.2800 | − | 16.2703i | −1.27508 | − | 0.528157i | ||||
\(950\) | 38.6969 | − | 17.6913i | 1.25549 | − | 0.573983i | ||||
\(951\) | 57.8696 | − | 57.8696i | 1.87655 | − | 1.87655i | ||||
\(952\) | 0.343621 | + | 3.15975i | 0.0111368 | + | 0.102408i | ||||
\(953\) | −33.0335 | − | 33.0335i | −1.07006 | − | 1.07006i | −0.997353 | − | 0.0727074i | \(-0.976836\pi\) |
−0.0727074 | − | 0.997353i | \(-0.523164\pi\) | |||||||
\(954\) | 16.5385 | + | 6.16084i | 0.535452 | + | 0.199465i | ||||
\(955\) | 24.6838 | − | 59.5919i | 0.798748 | − | 1.92835i | ||||
\(956\) | −10.4409 | + | 0.755311i | −0.337682 | + | 0.0244285i | ||||
\(957\) | −30.5449 | + | 12.6521i | −0.987375 | + | 0.408984i | ||||
\(958\) | 6.43692 | + | 5.98809i | 0.207968 | + | 0.193466i | ||||
\(959\) | 13.8251 | 0.446437 | ||||||||
\(960\) | 67.4358 | − | 14.8428i | 2.17648 | − | 0.479048i | ||||
\(961\) | −30.6145 | −0.987563 | ||||||||
\(962\) | 12.2212 | + | 11.3691i | 0.394028 | + | 0.366553i | ||||
\(963\) | −15.1527 | + | 6.27647i | −0.488290 | + | 0.202256i | ||||
\(964\) | −1.20155 | + | 0.0869219i | −0.0386992 | + | 0.00279956i | ||||
\(965\) | −19.2744 | + | 46.5325i | −0.620464 | + | 1.49793i | ||||
\(966\) | 8.22665 | + | 3.06456i | 0.264688 | + | 0.0986005i | ||||
\(967\) | −19.7533 | − | 19.7533i | −0.635223 | − | 0.635223i | 0.314150 | − | 0.949373i | \(-0.398280\pi\) |
−0.949373 | + | 0.314150i | \(0.898280\pi\) | |||||||
\(968\) | 64.3434 | − | 6.99731i | 2.06807 | − | 0.224902i | ||||
\(969\) | 11.9245 | − | 11.9245i | 0.383070 | − | 0.383070i | ||||
\(970\) | −4.87903 | + | 2.23058i | −0.156656 | + | 0.0716197i | ||||
\(971\) | −16.6494 | − | 6.89642i | −0.534306 | − | 0.221317i | 0.0991821 | − | 0.995069i | \(-0.468377\pi\) |
−0.633488 | + | 0.773753i | \(0.718377\pi\) | |||||||
\(972\) | −36.4246 | + | 18.2700i | −1.16832 | + | 0.586012i | ||||
\(973\) | −2.67074 | − | 6.44774i | −0.0856201 | − | 0.206705i | ||||
\(974\) | 1.90771 | + | 52.8105i | 0.0611269 | + | 1.69216i | ||||
\(975\) | 50.7125i | 1.62410i | ||||||||
\(976\) | −14.1436 | + | 8.42301i | −0.452725 | + | 0.269614i | ||||
\(977\) | 0.630363i | 0.0201671i | 0.999949 | + | 0.0100835i | \(0.00320975\pi\) | ||||
−0.999949 | + | 0.0100835i | \(0.996790\pi\) | |||||||
\(978\) | −4.81827 | + | 0.174053i | −0.154071 | + | 0.00556561i | ||||
\(979\) | −28.4200 | − | 68.6118i | −0.908306 | − | 2.19284i | ||||
\(980\) | 2.02920 | − | 6.11341i | 0.0648204 | − | 0.195286i | ||||
\(981\) | −39.7055 | − | 16.4466i | −1.26770 | − | 0.525098i | ||||
\(982\) | 12.8323 | + | 28.0684i | 0.409494 | + | 0.895700i | ||||
\(983\) | 1.42764 | − | 1.42764i | 0.0455347 | − | 0.0455347i | −0.683973 | − | 0.729508i | \(-0.739749\pi\) |
0.729508 | + | 0.683973i | \(0.239749\pi\) | |||||||
\(984\) | 2.84622 | + | 5.19732i | 0.0907341 | + | 0.165685i | ||||
\(985\) | 32.7848 | + | 32.7848i | 1.04461 | + | 1.04461i | ||||
\(986\) | −1.17574 | + | 3.15621i | −0.0374432 | + | 0.100514i | ||||
\(987\) | 12.6994 | − | 30.6590i | 0.404225 | − | 0.975885i | ||||
\(988\) | −29.8311 | − | 25.8062i | −0.949055 | − | 0.821005i | ||||
\(989\) | 16.0551 | − | 6.65024i | 0.510523 | − | 0.211465i | ||||
\(990\) | 75.5209 | − | 81.1815i | 2.40021 | − | 2.58012i | ||||
\(991\) | −16.1233 | −0.512175 | −0.256087 | − | 0.966654i | \(-0.582433\pi\) | ||||
−0.256087 | + | 0.966654i | \(0.582433\pi\) | |||||||
\(992\) | −2.88930 | − | 1.99735i | −0.0917353 | − | 0.0634160i | ||||
\(993\) | 1.45098 | 0.0460454 | ||||||||
\(994\) | 13.6854 | − | 14.7112i | 0.434074 | − | 0.466610i | ||||
\(995\) | −54.9830 | + | 22.7747i | −1.74308 | + | 0.722007i | ||||
\(996\) | 32.7640 | − | 37.8741i | 1.03817 | − | 1.20009i | ||||
\(997\) | 8.65741 | − | 20.9008i | 0.274183 | − | 0.661936i | −0.725471 | − | 0.688253i | \(-0.758378\pi\) |
0.999654 | + | 0.0263169i | \(0.00837790\pi\) | |||||||
\(998\) | −6.98298 | + | 18.7455i | −0.221043 | + | 0.593377i | ||||
\(999\) | −7.50663 | − | 7.50663i | −0.237499 | − | 0.237499i |
(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 | 224.2.u.c.85.3 | yes | 52 | |
4.3 | odd | 2 | 896.2.u.c.561.2 | 52 | |||
32.3 | odd | 8 | 896.2.u.c.337.2 | 52 | |||
32.29 | even | 8 | inner | 224.2.u.c.29.3 | ✓ | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.u.c.29.3 | ✓ | 52 | 32.29 | even | 8 | inner | |
224.2.u.c.85.3 | yes | 52 | 1.1 | even | 1 | trivial | |
896.2.u.c.337.2 | 52 | 32.3 | odd | 8 | |||
896.2.u.c.561.2 | 52 | 4.3 | odd | 2 |