Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [348,3,Mod(11,348)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(348, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 14, 25]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("348.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 348 = 2^{2} \cdot 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 348.v (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: | \(9.48231319974\) |
Analytic rank: | \(0\) |
Dimension: | \(1392\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 95.11 | ||
Character | \(\chi\) | \(=\) | 348.95 |
Dual form | 348.3.v.a.11.11 |
$q$-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 \(\left(\mathbb{Z}/348\mathbb{Z}\right)^\times\).
\(n\) | \(175\) | \(205\) | \(233\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{28}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92037 | + | 0.558718i | −0.960187 | + | 0.279359i | ||||
\(3\) | 0.209671 | + | 2.99266i | 0.0698904 | + | 0.997555i | ||||
\(4\) | 3.37567 | − | 2.14590i | 0.843917 | − | 0.536474i | ||||
\(5\) | −7.42336 | + | 3.57490i | −1.48467 | + | 0.714980i | −0.988214 | − | 0.153081i | \(-0.951081\pi\) |
−0.496458 | + | 0.868061i | \(0.665366\pi\) | |||||||
\(6\) | −2.07470 | − | 5.62989i | −0.345784 | − | 0.938314i | ||||
\(7\) | −9.85035 | + | 7.85539i | −1.40719 | + | 1.12220i | −0.431737 | + | 0.901999i | \(0.642099\pi\) |
−0.975455 | + | 0.220199i | \(0.929329\pi\) | |||||||
\(8\) | −5.28359 | + | 6.00697i | −0.660449 | + | 0.750871i | ||||
\(9\) | −8.91208 | + | 1.25495i | −0.990231 | + | 0.139439i | ||||
\(10\) | 12.2583 | − | 11.0127i | 1.22583 | − | 1.10127i | ||||
\(11\) | −4.76526 | + | 7.58386i | −0.433205 | + | 0.689442i | −0.989978 | − | 0.141223i | \(-0.954897\pi\) |
0.556773 | + | 0.830665i | \(0.312039\pi\) | |||||||
\(12\) | 7.12972 | + | 9.65231i | 0.594144 | + | 0.804359i | ||||
\(13\) | 10.8341 | − | 2.47281i | 0.833392 | − | 0.190216i | 0.215524 | − | 0.976498i | \(-0.430854\pi\) |
0.617868 | + | 0.786282i | \(0.287997\pi\) | |||||||
\(14\) | 14.5274 | − | 20.5888i | 1.03767 | − | 1.47063i | ||||
\(15\) | −12.2549 | − | 21.4661i | −0.816996 | − | 1.43107i | ||||
\(16\) | 6.79027 | − | 14.4877i | 0.424392 | − | 0.905479i | ||||
\(17\) | 12.3870 | − | 12.3870i | 0.728645 | − | 0.728645i | −0.241705 | − | 0.970350i | \(-0.577707\pi\) |
0.970350 | + | 0.241705i | \(0.0777066\pi\) | |||||||
\(18\) | 16.4134 | − | 7.38931i | 0.911853 | − | 0.410517i | ||||
\(19\) | 2.46170 | + | 21.8482i | 0.129563 | + | 1.14991i | 0.875271 | + | 0.483632i | \(0.160683\pi\) |
−0.745708 | + | 0.666273i | \(0.767889\pi\) | |||||||
\(20\) | −17.3874 | + | 27.9974i | −0.869371 | + | 1.39987i | ||||
\(21\) | −25.5739 | − | 27.8317i | −1.21780 | − | 1.32532i | ||||
\(22\) | 4.91383 | − | 17.2263i | 0.223356 | − | 0.783013i | ||||
\(23\) | −2.97127 | − | 1.43089i | −0.129185 | − | 0.0622124i | 0.368175 | − | 0.929757i | \(-0.379983\pi\) |
−0.497360 | + | 0.867544i | \(0.665697\pi\) | |||||||
\(24\) | −19.0847 | − | 14.5525i | −0.795194 | − | 0.606355i | ||||
\(25\) | 26.7391 | − | 33.5297i | 1.06956 | − | 1.34119i | ||||
\(26\) | −19.4239 | + | 10.8019i | −0.747073 | + | 0.415459i | ||||
\(27\) | −5.62425 | − | 26.4077i | −0.208306 | − | 0.978064i | ||||
\(28\) | −16.3947 | + | 47.6550i | −0.585523 | + | 1.70196i | ||||
\(29\) | 14.6279 | + | 25.0405i | 0.504411 | + | 0.863464i | ||||
\(30\) | 35.5275 | + | 34.3758i | 1.18425 | + | 1.14586i | ||||
\(31\) | −10.1421 | + | 28.9846i | −0.327166 | + | 0.934986i | 0.656397 | + | 0.754416i | \(0.272080\pi\) |
−0.983562 | + | 0.180570i | \(0.942206\pi\) | |||||||
\(32\) | −4.94533 | + | 31.6156i | −0.154542 | + | 0.987986i | ||||
\(33\) | −23.6951 | − | 12.6707i | −0.718033 | − | 0.383960i | ||||
\(34\) | −16.8668 | + | 30.7084i | −0.496082 | + | 0.903189i | ||||
\(35\) | 45.0404 | − | 93.5274i | 1.28687 | − | 2.67221i | ||||
\(36\) | −27.3912 | + | 23.3607i | −0.760867 | + | 0.648908i | ||||
\(37\) | 8.72637 | + | 13.8879i | 0.235848 | + | 0.375350i | 0.943587 | − | 0.331124i | \(-0.107428\pi\) |
−0.707739 | + | 0.706474i | \(0.750285\pi\) | |||||||
\(38\) | −16.9344 | − | 40.5813i | −0.445641 | − | 1.06793i | ||||
\(39\) | 9.67189 | + | 31.9043i | 0.247997 | + | 0.818060i | ||||
\(40\) | 17.7477 | − | 63.4802i | 0.443692 | − | 1.58700i | ||||
\(41\) | −51.7371 | − | 51.7371i | −1.26188 | − | 1.26188i | −0.950181 | − | 0.311699i | \(-0.899102\pi\) |
−0.311699 | − | 0.950181i | \(-0.600898\pi\) | |||||||
\(42\) | 64.6615 | + | 39.1587i | 1.53956 | + | 0.932351i | ||||
\(43\) | −2.01863 | + | 0.706350i | −0.0469450 | + | 0.0164268i | −0.353649 | − | 0.935378i | \(-0.615059\pi\) |
0.306704 | + | 0.951805i | \(0.400774\pi\) | |||||||
\(44\) | 0.188250 | + | 35.8263i | 0.00427840 | + | 0.814235i | ||||
\(45\) | 61.6712 | − | 41.1757i | 1.37047 | − | 0.915016i | ||||
\(46\) | 6.50540 | + | 1.08774i | 0.141422 | + | 0.0236464i | ||||
\(47\) | 49.9269 | + | 31.3712i | 1.06228 | + | 0.667472i | 0.945479 | − | 0.325684i | \(-0.105595\pi\) |
0.116796 | + | 0.993156i | \(0.462737\pi\) | |||||||
\(48\) | 44.7804 | + | 17.2833i | 0.932925 | + | 0.360070i | ||||
\(49\) | 24.4187 | − | 106.985i | 0.498340 | − | 2.18337i | ||||
\(50\) | −32.6153 | + | 79.3292i | −0.652307 | + | 1.58658i | ||||
\(51\) | 39.6672 | + | 34.4728i | 0.777788 | + | 0.675938i | ||||
\(52\) | 31.2659 | − | 31.5962i | 0.601268 | − | 0.607620i | ||||
\(53\) | 0.423138 | + | 0.878656i | 0.00798374 | + | 0.0165784i | 0.904923 | − | 0.425576i | \(-0.139929\pi\) |
−0.896939 | + | 0.442155i | \(0.854214\pi\) | |||||||
\(54\) | 25.5551 | + | 47.5703i | 0.473243 | + | 0.880932i | ||||
\(55\) | 8.26265 | − | 73.3330i | 0.150230 | − | 1.33333i | ||||
\(56\) | 4.85815 | − | 100.675i | 0.0867527 | − | 1.79777i | ||||
\(57\) | −64.8682 | + | 11.9480i | −1.13804 | + | 0.209614i | ||||
\(58\) | −42.0816 | − | 39.9141i | −0.725545 | − | 0.688175i | ||||
\(59\) | −67.8092 | −1.14931 | −0.574654 | − | 0.818396i | \(-0.694863\pi\) | ||||
−0.574654 | + | 0.818396i | \(0.694863\pi\) | |||||||
\(60\) | −87.4325 | − | 46.1645i | −1.45721 | − | 0.769408i | ||||
\(61\) | −6.75999 | + | 59.9966i | −0.110820 | + | 0.983551i | 0.808084 | + | 0.589068i | \(0.200505\pi\) |
−0.918903 | + | 0.394483i | \(0.870924\pi\) | |||||||
\(62\) | 3.28249 | − | 61.3278i | 0.0529433 | − | 0.989157i | ||||
\(63\) | 77.9289 | − | 82.3695i | 1.23697 | − | 1.30745i | ||||
\(64\) | −8.16731 | − | 63.4767i | −0.127614 | − | 0.991824i | ||||
\(65\) | −71.5853 | + | 57.0874i | −1.10131 | + | 0.878267i | ||||
\(66\) | 52.5828 | + | 11.0936i | 0.796709 | + | 0.168085i | ||||
\(67\) | 11.6499 | − | 51.0414i | 0.173879 | − | 0.761813i | −0.810499 | − | 0.585741i | \(-0.800804\pi\) |
0.984377 | − | 0.176072i | \(-0.0563391\pi\) | |||||||
\(68\) | 15.2332 | − | 68.3954i | 0.224017 | − | 1.00581i | ||||
\(69\) | 3.65917 | − | 9.19201i | 0.0530315 | − | 0.133218i | ||||
\(70\) | −34.2390 | + | 204.772i | −0.489128 | + | 2.92532i | ||||
\(71\) | −11.1173 | + | 2.53745i | −0.156582 | + | 0.0357388i | −0.300093 | − | 0.953910i | \(-0.597018\pi\) |
0.143511 | + | 0.989649i | \(0.454161\pi\) | |||||||
\(72\) | 39.5493 | − | 60.1652i | 0.549296 | − | 0.835628i | ||||
\(73\) | −3.22334 | + | 1.12789i | −0.0441553 | + | 0.0154506i | −0.352266 | − | 0.935900i | \(-0.614589\pi\) |
0.308111 | + | 0.951350i | \(0.400303\pi\) | |||||||
\(74\) | −24.5173 | − | 21.7945i | −0.331315 | − | 0.294520i | ||||
\(75\) | 105.950 | + | 72.9908i | 1.41266 | + | 0.973211i | ||||
\(76\) | 55.1938 | + | 68.4697i | 0.726234 | + | 0.900917i | ||||
\(77\) | −12.6348 | − | 112.137i | −0.164088 | − | 1.45632i | ||||
\(78\) | −36.3992 | − | 55.8644i | −0.466656 | − | 0.716210i | ||||
\(79\) | 11.9669 | + | 19.0453i | 0.151480 | + | 0.241079i | 0.913840 | − | 0.406074i | \(-0.133102\pi\) |
−0.762360 | + | 0.647153i | \(0.775960\pi\) | |||||||
\(80\) | 1.38535 | + | 131.822i | 0.0173169 | + | 1.64777i | ||||
\(81\) | 77.8502 | − | 22.3684i | 0.961114 | − | 0.276153i | ||||
\(82\) | 128.261 | + | 70.4481i | 1.56416 | + | 0.859123i | ||||
\(83\) | 81.0372 | − | 101.617i | 0.976351 | − | 1.22431i | 0.00183311 | − | 0.999998i | \(-0.499417\pi\) |
0.974518 | − | 0.224308i | \(-0.0720121\pi\) | |||||||
\(84\) | −146.053 | − | 39.0718i | −1.73872 | − | 0.465141i | ||||
\(85\) | −47.6707 | + | 136.235i | −0.560832 | + | 1.60276i | ||||
\(86\) | 3.48188 | − | 2.48430i | 0.0404870 | − | 0.0288873i | ||||
\(87\) | −71.8706 | + | 49.0267i | −0.826099 | + | 0.563525i | ||||
\(88\) | −20.3783 | − | 68.6948i | −0.231572 | − | 0.780622i | ||||
\(89\) | −28.9409 | + | 82.7083i | −0.325178 | + | 0.929307i | 0.659003 | + | 0.752141i | \(0.270979\pi\) |
−0.984181 | + | 0.177166i | \(0.943307\pi\) | |||||||
\(90\) | −95.4261 | + | 113.530i | −1.06029 | + | 1.26144i | ||||
\(91\) | −87.2947 | + | 109.464i | −0.959283 | + | 1.20290i | ||||
\(92\) | −13.1005 | + | 1.54583i | −0.142397 | + | 0.0168025i | ||||
\(93\) | −88.8675 | − | 24.2748i | −0.955565 | − | 0.261019i | ||||
\(94\) | −113.406 | − | 32.3493i | −1.20645 | − | 0.344141i | ||||
\(95\) | −96.3792 | − | 153.387i | −1.01452 | − | 1.61460i | ||||
\(96\) | −95.6516 | − | 8.17085i | −0.996371 | − | 0.0851130i | ||||
\(97\) | −0.723496 | − | 6.42120i | −0.00745872 | − | 0.0661980i | 0.989431 | − | 0.145001i | \(-0.0463186\pi\) |
−0.996890 | + | 0.0788034i | \(0.974890\pi\) | |||||||
\(98\) | 12.8816 | + | 219.095i | 0.131445 | + | 2.23566i | ||||
\(99\) | 32.9510 | − | 73.5681i | 0.332838 | − | 0.743112i | ||||
\(100\) | 18.3109 | − | 170.564i | 0.183109 | − | 1.70564i | ||||
\(101\) | −22.9053 | + | 8.01491i | −0.226785 | + | 0.0793556i | −0.441280 | − | 0.897370i | \(-0.645475\pi\) |
0.214494 | + | 0.976725i | \(0.431190\pi\) | |||||||
\(102\) | −95.4365 | − | 44.0379i | −0.935652 | − | 0.431744i | ||||
\(103\) | −46.0913 | + | 10.5200i | −0.447488 | + | 0.102136i | −0.440326 | − | 0.897838i | \(-0.645137\pi\) |
−0.00716250 | + | 0.999974i | \(0.502280\pi\) | |||||||
\(104\) | −42.3889 | + | 78.1454i | −0.407585 | + | 0.751398i | ||||
\(105\) | 289.340 | + | 115.181i | 2.75562 | + | 1.09696i | ||||
\(106\) | −1.30350 | − | 1.45093i | −0.0122972 | − | 0.0136880i | ||||
\(107\) | −11.3705 | + | 49.8175i | −0.106267 | + | 0.465584i | 0.893594 | + | 0.448876i | \(0.148176\pi\) |
−0.999860 | + | 0.0167077i | \(0.994682\pi\) | |||||||
\(108\) | −75.6538 | − | 77.0747i | −0.700498 | − | 0.713654i | ||||
\(109\) | −88.0007 | + | 70.1782i | −0.807346 | + | 0.643837i | −0.937628 | − | 0.347640i | \(-0.886983\pi\) |
0.130282 | + | 0.991477i | \(0.458412\pi\) | |||||||
\(110\) | 25.1051 | + | 145.443i | 0.228228 | + | 1.32221i | ||||
\(111\) | −39.7323 | + | 29.0270i | −0.357948 | + | 0.261505i | ||||
\(112\) | 46.9197 | + | 196.049i | 0.418926 | + | 1.75043i | ||||
\(113\) | 11.5081 | − | 102.137i | 0.101841 | − | 0.903867i | −0.834077 | − | 0.551649i | \(-0.813999\pi\) |
0.935918 | − | 0.352218i | \(-0.114572\pi\) | |||||||
\(114\) | 117.896 | − | 59.1876i | 1.03417 | − | 0.519189i | ||||
\(115\) | 27.1720 | 0.236279 | ||||||||
\(116\) | 103.113 | + | 53.1383i | 0.888907 | + | 0.458089i | ||||
\(117\) | −93.4510 | + | 35.6341i | −0.798727 | + | 0.304565i | ||||
\(118\) | 130.219 | − | 37.8862i | 1.10355 | − | 0.321070i | ||||
\(119\) | −24.7115 | + | 219.320i | −0.207659 | + | 1.84303i | ||||
\(120\) | 193.696 | + | 39.8029i | 1.61413 | + | 0.331691i | ||||
\(121\) | 17.6926 | + | 36.7391i | 0.146220 | + | 0.303629i | ||||
\(122\) | −20.5395 | − | 118.993i | −0.168356 | − | 0.975351i | ||||
\(123\) | 143.984 | − | 165.679i | 1.17060 | − | 1.34699i | ||||
\(124\) | 27.9613 | + | 119.606i | 0.225495 | + | 0.964566i | ||||
\(125\) | −32.7928 | + | 143.674i | −0.262342 | + | 1.14940i | ||||
\(126\) | −103.631 | + | 201.721i | −0.822470 | + | 1.60096i | ||||
\(127\) | 33.8975 | + | 21.2992i | 0.266909 | + | 0.167710i | 0.658837 | − | 0.752286i | \(-0.271049\pi\) |
−0.391927 | + | 0.919996i | \(0.628192\pi\) | |||||||
\(128\) | 51.1499 | + | 117.336i | 0.399608 | + | 0.916686i | ||||
\(129\) | −2.53712 | − | 5.89299i | −0.0196676 | − | 0.0456821i | ||||
\(130\) | 105.575 | − | 149.625i | 0.812114 | − | 1.15096i | ||||
\(131\) | −126.950 | + | 44.4218i | −0.969085 | + | 0.339098i | −0.767981 | − | 0.640472i | \(-0.778739\pi\) |
−0.201104 | + | 0.979570i | \(0.564453\pi\) | |||||||
\(132\) | −107.177 | + | 8.07512i | −0.811945 | + | 0.0611751i | ||||
\(133\) | −195.875 | − | 195.875i | −1.47274 | − | 1.47274i | ||||
\(134\) | 6.14567 | + | 104.528i | 0.0458632 | + | 0.780057i | ||||
\(135\) | 136.156 | + | 175.928i | 1.00856 | + | 1.30317i | ||||
\(136\) | 8.96042 | + | 139.856i | 0.0658854 | + | 1.02835i | ||||
\(137\) | 27.6837 | + | 44.0584i | 0.202071 | + | 0.321594i | 0.932351 | − | 0.361553i | \(-0.117753\pi\) |
−0.730280 | + | 0.683148i | \(0.760611\pi\) | |||||||
\(138\) | −1.89123 | + | 19.6965i | −0.0137046 | + | 0.142729i | ||||
\(139\) | −51.1707 | + | 106.257i | −0.368135 | + | 0.764440i | −0.999943 | − | 0.0106851i | \(-0.996599\pi\) |
0.631808 | + | 0.775125i | \(0.282313\pi\) | |||||||
\(140\) | −48.6585 | − | 412.369i | −0.347560 | − | 2.94549i | ||||
\(141\) | −83.4151 | + | 155.992i | −0.591597 | + | 1.10633i | ||||
\(142\) | 19.9317 | − | 11.0843i | 0.140364 | − | 0.0780585i | ||||
\(143\) | −32.8738 | + | 93.9479i | −0.229887 | + | 0.656978i | ||||
\(144\) | −42.3341 | + | 137.637i | −0.293987 | + | 0.955809i | ||||
\(145\) | −198.105 | − | 133.591i | −1.36624 | − | 0.921316i | ||||
\(146\) | 5.55984 | − | 3.96692i | 0.0380811 | − | 0.0271707i | ||||
\(147\) | 325.290 | + | 50.6451i | 2.21286 | + | 0.344525i | ||||
\(148\) | 59.2594 | + | 28.1552i | 0.400401 | + | 0.190238i | ||||
\(149\) | 143.830 | − | 180.357i | 0.965303 | − | 1.21045i | −0.0122854 | − | 0.999925i | \(-0.503911\pi\) |
0.977588 | − | 0.210527i | \(-0.0675179\pi\) | |||||||
\(150\) | −244.244 | − | 80.9737i | −1.62829 | − | 0.539824i | ||||
\(151\) | −181.270 | − | 87.2952i | −1.20047 | − | 0.578114i | −0.276658 | − | 0.960969i | \(-0.589227\pi\) |
−0.923809 | + | 0.382855i | \(0.874941\pi\) | |||||||
\(152\) | −144.248 | − | 100.650i | −0.949000 | − | 0.662168i | ||||
\(153\) | −94.8485 | + | 125.939i | −0.619925 | + | 0.823128i | ||||
\(154\) | 86.9162 | + | 208.285i | 0.564391 | + | 1.35250i | ||||
\(155\) | −28.3282 | − | 251.420i | −0.182763 | − | 1.62206i | ||||
\(156\) | 101.112 | + | 86.9436i | 0.648157 | + | 0.557331i | ||||
\(157\) | 168.898 | − | 168.898i | 1.07578 | − | 1.07578i | 0.0788995 | − | 0.996883i | \(-0.474859\pi\) |
0.996883 | − | 0.0788995i | \(-0.0251406\pi\) | |||||||
\(158\) | −33.6219 | − | 29.8879i | −0.212797 | − | 0.189164i | ||||
\(159\) | −2.54080 | + | 1.45054i | −0.0159799 | + | 0.00912289i | ||||
\(160\) | −76.3115 | − | 252.373i | −0.476947 | − | 1.57733i | ||||
\(161\) | 40.5082 | − | 9.24572i | 0.251603 | − | 0.0574269i | ||||
\(162\) | −137.004 | + | 86.4521i | −0.845702 | + | 0.533655i | ||||
\(163\) | 123.311 | − | 196.248i | 0.756508 | − | 1.20398i | −0.217189 | − | 0.976130i | \(-0.569689\pi\) |
0.973697 | − | 0.227846i | \(-0.0731683\pi\) | |||||||
\(164\) | −285.670 | − | 63.6248i | −1.74189 | − | 0.387956i | ||||
\(165\) | 221.194 | + | 9.35151i | 1.34057 | + | 0.0566758i | ||||
\(166\) | −98.8461 | + | 240.420i | −0.595459 | + | 1.44832i | ||||
\(167\) | −156.400 | + | 124.725i | −0.936525 | + | 0.746854i | −0.967554 | − | 0.252664i | \(-0.918693\pi\) |
0.0310287 | + | 0.999518i | \(0.490122\pi\) | |||||||
\(168\) | 302.306 | − | 6.56991i | 1.79944 | − | 0.0391066i | ||||
\(169\) | −41.0009 | + | 19.7450i | −0.242609 | + | 0.116834i | ||||
\(170\) | 15.4285 | − | 288.257i | 0.0907562 | − | 1.69563i | ||||
\(171\) | −49.3573 | − | 191.623i | −0.288639 | − | 1.12061i | ||||
\(172\) | −5.29848 | + | 6.71618i | −0.0308051 | + | 0.0390476i | ||||
\(173\) | 54.3576 | 0.314206 | 0.157103 | − | 0.987582i | \(-0.449785\pi\) | ||||
0.157103 | + | 0.987582i | \(0.449785\pi\) | |||||||
\(174\) | 110.626 | − | 134.305i | 0.635783 | − | 0.771868i | ||||
\(175\) | 540.325i | 3.08757i | ||||||||
\(176\) | 77.5150 | + | 120.534i | 0.440426 | + | 0.684851i | ||||
\(177\) | −14.2176 | − | 202.930i | −0.0803256 | − | 1.14650i | ||||
\(178\) | 9.36667 | − | 175.001i | 0.0526218 | − | 0.983149i | ||||
\(179\) | 41.2458 | + | 85.6477i | 0.230423 | + | 0.478479i | 0.983837 | − | 0.179068i | \(-0.0573083\pi\) |
−0.753413 | + | 0.657547i | \(0.771594\pi\) | |||||||
\(180\) | 119.823 | − | 271.336i | 0.665682 | − | 1.50742i | ||||
\(181\) | 7.03803 | + | 8.82541i | 0.0388841 | + | 0.0487592i | 0.800893 | − | 0.598807i | \(-0.204358\pi\) |
−0.762009 | + | 0.647566i | \(0.775787\pi\) | |||||||
\(182\) | 106.479 | − | 258.985i | 0.585049 | − | 1.42300i | ||||
\(183\) | −180.967 | − | 7.65083i | −0.988891 | − | 0.0418078i | ||||
\(184\) | 24.2942 | − | 10.2881i | 0.132034 | − | 0.0559135i | ||||
\(185\) | −114.427 | − | 71.8992i | −0.618524 | − | 0.388645i | ||||
\(186\) | 184.222 | − | 3.03528i | 0.990439 | − | 0.0163187i | ||||
\(187\) | 34.9140 | + | 152.968i | 0.186706 | + | 0.818011i | ||||
\(188\) | 235.856 | − | 1.23931i | 1.25455 | − | 0.00659205i | ||||
\(189\) | 262.844 | + | 215.945i | 1.39071 | + | 1.14256i | ||||
\(190\) | 270.784 | + | 240.711i | 1.42518 | + | 1.26690i | ||||
\(191\) | 27.7867 | + | 27.7867i | 0.145480 | + | 0.145480i | 0.776096 | − | 0.630615i | \(-0.217197\pi\) |
−0.630615 | + | 0.776096i | \(0.717197\pi\) | |||||||
\(192\) | 188.252 | − | 37.7512i | 0.980480 | − | 0.196621i | ||||
\(193\) | −347.108 | + | 39.1097i | −1.79849 | + | 0.202641i | −0.946890 | − | 0.321558i | \(-0.895794\pi\) |
−0.851596 | + | 0.524199i | \(0.824365\pi\) | |||||||
\(194\) | 4.97703 | + | 11.9269i | 0.0256548 | + | 0.0614788i | ||||
\(195\) | −185.853 | − | 202.261i | −0.953091 | − | 1.03724i | ||||
\(196\) | −147.150 | − | 413.546i | −0.750763 | − | 2.10993i | ||||
\(197\) | 24.2005 | − | 50.2528i | 0.122845 | − | 0.255090i | −0.830473 | − | 0.557059i | \(-0.811930\pi\) |
0.953318 | + | 0.301969i | \(0.0976439\pi\) | |||||||
\(198\) | −22.1743 | + | 159.689i | −0.111991 | + | 0.806508i | ||||
\(199\) | −113.887 | − | 90.8221i | −0.572298 | − | 0.456393i | 0.294080 | − | 0.955781i | \(-0.404987\pi\) |
−0.866378 | + | 0.499388i | \(0.833558\pi\) | |||||||
\(200\) | 60.1337 | + | 337.778i | 0.300668 | + | 1.68889i | ||||
\(201\) | 155.193 | + | 24.1622i | 0.772102 | + | 0.120210i | ||||
\(202\) | 39.5087 | − | 28.1892i | 0.195587 | − | 0.139551i | ||||
\(203\) | −340.792 | − | 131.749i | −1.67878 | − | 0.649011i | ||||
\(204\) | 207.878 | + | 31.2472i | 1.01901 | + | 0.153172i | ||||
\(205\) | 569.018 | + | 199.108i | 2.77570 | + | 0.971258i | ||||
\(206\) | 82.6348 | − | 45.9544i | 0.401140 | − | 0.223080i | ||||
\(207\) | 28.2758 | + | 9.02337i | 0.136598 | + | 0.0435912i | ||||
\(208\) | 37.7412 | − | 173.752i | 0.181448 | − | 0.835345i | ||||
\(209\) | −177.424 | − | 85.4431i | −0.848920 | − | 0.408818i | ||||
\(210\) | −619.994 | − | 59.5308i | −2.95235 | − | 0.283480i | ||||
\(211\) | 300.761 | − | 188.981i | 1.42541 | − | 0.895644i | 0.425452 | − | 0.904981i | \(-0.360115\pi\) |
0.999956 | + | 0.00933739i | \(0.00297223\pi\) | |||||||
\(212\) | 3.31388 | + | 2.05804i | 0.0156315 | + | 0.00970773i | ||||
\(213\) | −9.92473 | − | 32.7384i | −0.0465950 | − | 0.153701i | ||||
\(214\) | −5.99830 | − | 102.021i | −0.0280294 | − | 0.476734i | ||||
\(215\) | 12.4599 | − | 12.4599i | 0.0579530 | − | 0.0579530i | ||||
\(216\) | 188.347 | + | 105.743i | 0.871975 | + | 0.489551i | ||||
\(217\) | −127.781 | − | 365.178i | −0.588854 | − | 1.68285i | ||||
\(218\) | 129.784 | − | 183.936i | 0.595341 | − | 0.843743i | ||||
\(219\) | −4.05125 | − | 9.40988i | −0.0184989 | − | 0.0429675i | ||||
\(220\) | −129.473 | − | 265.279i | −0.588514 | − | 1.20581i | ||||
\(221\) | 103.571 | − | 164.832i | 0.468647 | − | 0.745847i | ||||
\(222\) | 60.0829 | − | 77.9418i | 0.270644 | − | 0.351089i | ||||
\(223\) | −340.960 | − | 77.8220i | −1.52897 | − | 0.348978i | −0.626394 | − | 0.779507i | \(-0.715470\pi\) |
−0.902577 | + | 0.430529i | \(0.858327\pi\) | |||||||
\(224\) | −199.639 | − | 350.272i | −0.891247 | − | 1.56371i | ||||
\(225\) | −196.222 | + | 332.376i | −0.872100 | + | 1.47723i | ||||
\(226\) | 34.9660 | + | 202.571i | 0.154717 | + | 0.896331i | ||||
\(227\) | 229.770 | − | 110.651i | 1.01220 | − | 0.487451i | 0.147140 | − | 0.989116i | \(-0.452993\pi\) |
0.865062 | + | 0.501665i | \(0.167279\pi\) | |||||||
\(228\) | −193.334 | + | 179.533i | −0.847957 | + | 0.787424i | ||||
\(229\) | −25.2875 | − | 2.84922i | −0.110426 | − | 0.0124420i | 0.0565786 | − | 0.998398i | \(-0.481981\pi\) |
−0.167004 | + | 0.985956i | \(0.553409\pi\) | |||||||
\(230\) | −52.1805 | + | 15.1815i | −0.226872 | + | 0.0660066i | ||||
\(231\) | 332.938 | − | 61.3234i | 1.44129 | − | 0.265469i | ||||
\(232\) | −227.705 | − | 44.4342i | −0.981487 | − | 0.191527i | ||||
\(233\) | 216.468i | 0.929045i | 0.885561 | + | 0.464523i | \(0.153774\pi\) | ||||
−0.885561 | + | 0.464523i | \(0.846226\pi\) | |||||||
\(234\) | 159.551 | − | 120.644i | 0.681844 | − | 0.515571i | ||||
\(235\) | −482.774 | − | 54.3956i | −2.05436 | − | 0.231471i | ||||
\(236\) | −228.901 | + | 145.511i | −0.969921 | + | 0.616574i | ||||
\(237\) | −54.4869 | + | 39.8062i | −0.229903 | + | 0.167959i | ||||
\(238\) | −75.0830 | − | 434.984i | −0.315475 | − | 1.82766i | ||||
\(239\) | 17.6884 | + | 22.1805i | 0.0740099 | + | 0.0928054i | 0.817458 | − | 0.575988i | \(-0.195382\pi\) |
−0.743448 | + | 0.668793i | \(0.766811\pi\) | |||||||
\(240\) | −394.207 | + | 31.7851i | −1.64253 | + | 0.132438i | ||||
\(241\) | 85.0984 | + | 19.4231i | 0.353105 | + | 0.0805940i | 0.395394 | − | 0.918511i | \(-0.370608\pi\) |
−0.0422892 | + | 0.999105i | \(0.513465\pi\) | |||||||
\(242\) | −54.5033 | − | 60.6677i | −0.225220 | − | 0.250693i | ||||
\(243\) | 83.2641 | + | 228.289i | 0.342651 | + | 0.939463i | ||||
\(244\) | 105.927 | + | 217.035i | 0.434127 | + | 0.889487i | ||||
\(245\) | 201.193 | + | 881.483i | 0.821195 | + | 3.59789i | ||||
\(246\) | −183.935 | + | 398.613i | −0.747702 | + | 1.62038i | ||||
\(247\) | 80.6968 | + | 230.618i | 0.326708 | + | 0.933677i | ||||
\(248\) | −120.522 | − | 214.066i | −0.485977 | − | 0.863169i | ||||
\(249\) | 321.098 | + | 221.211i | 1.28955 | + | 0.888397i | ||||
\(250\) | −17.2992 | − | 294.231i | −0.0691968 | − | 1.17692i | ||||
\(251\) | 110.753 | − | 12.4789i | 0.441248 | − | 0.0497167i | 0.111454 | − | 0.993770i | \(-0.464449\pi\) |
0.329794 | + | 0.944053i | \(0.393021\pi\) | |||||||
\(252\) | 86.3058 | − | 445.279i | 0.342483 | − | 1.76698i | ||||
\(253\) | 25.0105 | − | 15.7151i | 0.0988557 | − | 0.0621151i | ||||
\(254\) | −76.9961 | − | 21.9633i | −0.303134 | − | 0.0864696i | ||||
\(255\) | −417.701 | − | 114.098i | −1.63804 | − | 0.447442i | ||||
\(256\) | −163.785 | − | 196.750i | −0.639783 | − | 0.768555i | ||||
\(257\) | 349.010 | + | 278.326i | 1.35801 | + | 1.08298i | 0.988083 | + | 0.153922i | \(0.0491903\pi\) |
0.369932 | + | 0.929059i | \(0.379381\pi\) | |||||||
\(258\) | 8.16474 | + | 9.89921i | 0.0316463 | + | 0.0383690i | ||||
\(259\) | −195.053 | − | 68.2520i | −0.753100 | − | 0.263521i | ||||
\(260\) | −119.145 | + | 346.323i | −0.458249 | + | 1.33201i | ||||
\(261\) | −161.790 | − | 204.805i | −0.619883 | − | 0.784694i | ||||
\(262\) | 218.972 | − | 156.236i | 0.835773 | − | 0.596320i | ||||
\(263\) | −152.957 | − | 53.5221i | −0.581587 | − | 0.203506i | 0.0234209 | − | 0.999726i | \(-0.492544\pi\) |
−0.605008 | + | 0.796220i | \(0.706830\pi\) | |||||||
\(264\) | 201.308 | − | 75.3888i | 0.762529 | − | 0.285564i | ||||
\(265\) | −6.28221 | − | 5.00990i | −0.0237065 | − | 0.0189053i | ||||
\(266\) | 485.591 | + | 266.714i | 1.82553 | + | 1.00268i | ||||
\(267\) | −253.586 | − | 69.2688i | −0.949761 | − | 0.259434i | ||||
\(268\) | −70.2035 | − | 197.298i | −0.261953 | − | 0.736188i | ||||
\(269\) | 30.3333 | − | 19.0597i | 0.112763 | − | 0.0708538i | −0.474470 | − | 0.880272i | \(-0.657360\pi\) |
0.587233 | + | 0.809418i | \(0.300217\pi\) | |||||||
\(270\) | −359.764 | − | 261.774i | −1.33246 | − | 0.969535i | ||||
\(271\) | −105.443 | + | 11.8806i | −0.389088 | + | 0.0438397i | −0.304342 | − | 0.952563i | \(-0.598437\pi\) |
−0.0847462 | + | 0.996403i | \(0.527008\pi\) | |||||||
\(272\) | −95.3473 | − | 263.569i | −0.350542 | − | 0.969003i | ||||
\(273\) | −345.892 | − | 238.292i | −1.26701 | − | 0.872866i | ||||
\(274\) | −77.7794 | − | 69.1412i | −0.283866 | − | 0.252340i | ||||
\(275\) | 126.866 | + | 362.563i | 0.461332 | + | 1.31841i | ||||
\(276\) | −7.37295 | − | 38.8814i | −0.0267136 | − | 0.140875i | ||||
\(277\) | 43.8368 | + | 192.062i | 0.158256 | + | 0.693364i | 0.990334 | + | 0.138705i | \(0.0442940\pi\) |
−0.832078 | + | 0.554659i | \(0.812849\pi\) | |||||||
\(278\) | 38.8991 | − | 232.643i | 0.139925 | − | 0.836847i | ||||
\(279\) | 54.0133 | − | 271.040i | 0.193596 | − | 0.971471i | ||||
\(280\) | 323.841 | + | 764.717i | 1.15657 | + | 2.73113i | ||||
\(281\) | 393.484 | + | 89.8101i | 1.40030 | + | 0.319609i | 0.854997 | − | 0.518632i | \(-0.173559\pi\) |
0.545300 | + | 0.838241i | \(0.316416\pi\) | |||||||
\(282\) | 73.0325 | − | 346.169i | 0.258981 | − | 1.22755i | ||||
\(283\) | −115.562 | − | 144.911i | −0.408347 | − | 0.512051i | 0.534549 | − | 0.845137i | \(-0.320481\pi\) |
−0.942896 | + | 0.333086i | \(0.891910\pi\) | |||||||
\(284\) | −32.0832 | + | 32.4222i | −0.112969 | + | 0.114163i | ||||
\(285\) | 438.827 | − | 320.591i | 1.53974 | − | 1.12488i | ||||
\(286\) | 10.6396 | − | 198.782i | 0.0372012 | − | 0.695043i | ||||
\(287\) | 916.043 | + | 103.213i | 3.19179 | + | 0.359628i | ||||
\(288\) | 4.39721 | − | 287.966i | 0.0152681 | − | 0.999883i | ||||
\(289\) | − | 17.8738i | − | 0.0618470i | ||||||
\(290\) | 455.076 | + | 145.859i | 1.56923 | + | 0.502963i | ||||
\(291\) | 19.0648 | − | 3.51152i | 0.0655148 | − | 0.0120671i | ||||
\(292\) | −8.46057 | + | 10.7243i | −0.0289746 | + | 0.0367272i | ||||
\(293\) | 242.837 | + | 27.3612i | 0.828795 | + | 0.0933828i | 0.516162 | − | 0.856491i | \(-0.327360\pi\) |
0.312633 | + | 0.949874i | \(0.398789\pi\) | |||||||
\(294\) | −652.975 | + | 84.4881i | −2.22101 | + | 0.287374i | ||||
\(295\) | 503.372 | − | 242.411i | 1.70634 | − | 0.821732i | ||||
\(296\) | −129.531 | − | 20.9592i | −0.437605 | − | 0.0708081i | ||||
\(297\) | 227.074 | + | 83.1860i | 0.764557 | + | 0.280088i | ||||
\(298\) | −175.439 | + | 426.714i | −0.588720 | + | 1.43193i | ||||
\(299\) | −35.7293 | − | 8.15498i | −0.119496 | − | 0.0272742i | ||||
\(300\) | 514.281 | + | 19.0360i | 1.71427 | + | 0.0634534i | ||||
\(301\) | 14.3356 | − | 22.8149i | 0.0476265 | − | 0.0757972i | ||||
\(302\) | 396.880 | + | 66.3603i | 1.31417 | + | 0.219736i | ||||
\(303\) | −28.7885 | − | 66.8674i | −0.0950116 | − | 0.220684i | ||||
\(304\) | 333.245 | + | 112.691i | 1.09620 | + | 0.370694i | ||||
\(305\) | −164.300 | − | 469.542i | −0.538688 | − | 1.53948i | ||||
\(306\) | 111.780 | − | 294.843i | 0.365296 | − | 0.963538i | ||||
\(307\) | 113.195 | − | 113.195i | 0.368715 | − | 0.368715i | −0.498294 | − | 0.867008i | \(-0.666040\pi\) |
0.867008 | + | 0.498294i | \(0.166040\pi\) | |||||||
\(308\) | −283.284 | − | 351.423i | −0.919754 | − | 1.14098i | ||||
\(309\) | −41.1469 | − | 135.730i | −0.133162 | − | 0.439256i | ||||
\(310\) | 194.874 | + | 466.992i | 0.628624 | + | 1.50643i | ||||
\(311\) | −232.388 | + | 146.019i | −0.747228 | + | 0.469514i | −0.851052 | − | 0.525081i | \(-0.824035\pi\) |
0.103824 | + | 0.994596i | \(0.466892\pi\) | |||||||
\(312\) | −242.751 | − | 110.471i | −0.778047 | − | 0.354073i | ||||
\(313\) | −4.36835 | − | 2.10369i | −0.0139564 | − | 0.00672105i | 0.426893 | − | 0.904302i | \(-0.359608\pi\) |
−0.440849 | + | 0.897581i | \(0.645323\pi\) | |||||||
\(314\) | −229.981 | + | 418.713i | −0.732422 | + | 1.33348i | ||||
\(315\) | −284.031 | + | 890.046i | −0.901687 | + | 2.82554i | ||||
\(316\) | 81.2655 | + | 38.6107i | 0.257169 | + | 0.122186i | ||||
\(317\) | 1.80121 | + | 0.630271i | 0.00568205 | + | 0.00198824i | 0.333119 | − | 0.942885i | \(-0.391899\pi\) |
−0.327437 | + | 0.944873i | \(0.606185\pi\) | |||||||
\(318\) | 4.06884 | − | 4.20517i | 0.0127951 | − | 0.0132238i | ||||
\(319\) | −259.609 | − | 8.38811i | −0.813822 | − | 0.0262950i | ||||
\(320\) | 287.552 | + | 442.013i | 0.898599 | + | 1.38129i | ||||
\(321\) | −151.471 | − | 23.5828i | −0.471873 | − | 0.0734668i | ||||
\(322\) | −72.6250 | + | 40.3879i | −0.225544 | + | 0.125428i | ||||
\(323\) | 301.126 | + | 240.140i | 0.932278 | + | 0.743467i | ||||
\(324\) | 214.796 | − | 242.567i | 0.662951 | − | 0.748663i | ||||
\(325\) | 206.781 | − | 429.385i | 0.636249 | − | 1.32118i | ||||
\(326\) | −127.155 | + | 445.765i | −0.390047 | + | 1.36738i | ||||
\(327\) | −228.471 | − | 248.642i | −0.698688 | − | 0.760373i | ||||
\(328\) | 584.140 | − | 37.4253i | 1.78092 | − | 0.114102i | ||||
\(329\) | −738.230 | + | 83.1786i | −2.24386 | + | 0.252822i | ||||
\(330\) | −429.999 | + | 105.626i | −1.30303 | + | 0.320080i | ||||
\(331\) | −32.8915 | − | 32.8915i | −0.0993700 | − | 0.0993700i | 0.655674 | − | 0.755044i | \(-0.272385\pi\) |
−0.755044 | + | 0.655674i | \(0.772385\pi\) | |||||||
\(332\) | 55.4943 | − | 516.924i | 0.167152 | − | 1.55700i | ||||
\(333\) | −95.1988 | − | 112.819i | −0.285882 | − | 0.338797i | ||||
\(334\) | 230.660 | − | 326.901i | 0.690599 | − | 0.978746i | ||||
\(335\) | 95.9869 | + | 420.546i | 0.286528 | + | 1.25536i | ||||
\(336\) | −576.870 | + | 181.521i | −1.71688 | + | 0.540240i | ||||
\(337\) | −386.252 | − | 242.698i | −1.14615 | − | 0.720172i | −0.181415 | − | 0.983407i | \(-0.558068\pi\) |
−0.964732 | + | 0.263235i | \(0.915211\pi\) | |||||||
\(338\) | 67.7051 | − | 60.8257i | 0.200311 | − | 0.179958i | ||||
\(339\) | 308.074 | + | 13.0246i | 0.908774 | + | 0.0384207i | ||||
\(340\) | 131.426 | + | 562.180i | 0.386546 | + | 1.65347i | ||||
\(341\) | −171.485 | − | 215.035i | −0.502888 | − | 0.630602i | ||||
\(342\) | 201.848 | + | 340.412i | 0.590199 | + | 0.995356i | ||||
\(343\) | 332.018 | + | 689.442i | 0.967981 | + | 2.01003i | ||||
\(344\) | 6.42261 | − | 15.8579i | 0.0186704 | − | 0.0460986i | ||||
\(345\) | 5.69719 | + | 81.3168i | 0.0165136 | + | 0.235701i | ||||
\(346\) | −104.387 | + | 30.3706i | −0.301696 | + | 0.0877762i | ||||
\(347\) | 107.269i | 0.309133i | 0.987982 | + | 0.154567i | \(0.0493981\pi\) | ||||
−0.987982 | + | 0.154567i | \(0.950602\pi\) | |||||||
\(348\) | −137.405 | + | 319.725i | −0.394842 | + | 0.918749i | ||||
\(349\) | −242.414 | −0.694595 | −0.347298 | − | 0.937755i | \(-0.612901\pi\) | ||||
−0.347298 | + | 0.937755i | \(0.612901\pi\) | |||||||
\(350\) | −301.890 | − | 1037.63i | −0.862542 | − | 2.96465i | ||||
\(351\) | −126.235 | − | 272.196i | −0.359644 | − | 0.775488i | ||||
\(352\) | −216.202 | − | 188.161i | −0.614211 | − | 0.534548i | ||||
\(353\) | −217.639 | + | 104.809i | −0.616541 | + | 0.296911i | −0.715967 | − | 0.698134i | \(-0.754014\pi\) |
0.0994255 | + | 0.995045i | \(0.468300\pi\) | |||||||
\(354\) | 140.684 | + | 381.758i | 0.397412 | + | 1.07841i | ||||
\(355\) | 73.4566 | − | 58.5797i | 0.206920 | − | 0.165013i | ||||
\(356\) | 79.7885 | + | 341.300i | 0.224125 | + | 0.958707i | ||||
\(357\) | −661.533 | − | 27.9680i | −1.85303 | − | 0.0783417i | ||||
\(358\) | −127.060 | − | 141.431i | −0.354917 | − | 0.395058i | ||||
\(359\) | 158.797 | − | 252.724i | 0.442332 | − | 0.703967i | −0.548931 | − | 0.835868i | \(-0.684965\pi\) |
0.991263 | + | 0.131900i | \(0.0421079\pi\) | |||||||
\(360\) | −78.5042 | + | 588.013i | −0.218067 | + | 1.63337i | ||||
\(361\) | −119.335 | + | 27.2374i | −0.330567 | + | 0.0754498i | ||||
\(362\) | −18.4466 | − | 13.0158i | −0.0509574 | − | 0.0359553i | ||||
\(363\) | −106.238 | + | 60.6513i | −0.292667 | + | 0.167083i | ||||
\(364\) | −59.7795 | + | 556.840i | −0.164229 | + | 1.52978i | ||||
\(365\) | 19.8959 | − | 19.8959i | 0.0545092 | − | 0.0545092i | ||||
\(366\) | 351.799 | − | 86.4171i | 0.961199 | − | 0.236112i | ||||
\(367\) | 24.1405 | + | 214.253i | 0.0657778 | + | 0.583795i | 0.982763 | + | 0.184872i | \(0.0591871\pi\) |
−0.916985 | + | 0.398922i | \(0.869384\pi\) | |||||||
\(368\) | −40.9059 | + | 33.3306i | −0.111157 | + | 0.0905722i | ||||
\(369\) | 526.012 | + | 396.157i | 1.42551 | + | 1.07360i | ||||
\(370\) | 259.914 | + | 74.1410i | 0.702470 | + | 0.200381i | ||||
\(371\) | −11.0702 | − | 5.33115i | −0.0298389 | − | 0.0143697i | ||||
\(372\) | −352.078 | + | 108.757i | −0.946447 | + | 0.292357i | ||||
\(373\) | −36.1453 | + | 45.3248i | −0.0969043 | + | 0.121514i | −0.827919 | − | 0.560847i | \(-0.810475\pi\) |
0.731015 | + | 0.682361i | \(0.239047\pi\) | |||||||
\(374\) | −152.514 | − | 274.249i | −0.407791 | − | 0.733286i | ||||
\(375\) | −436.845 | − | 68.0133i | −1.16492 | − | 0.181369i | ||||
\(376\) | −452.239 | + | 134.157i | −1.20276 | + | 0.356800i | ||||
\(377\) | 220.401 | + | 235.119i | 0.584617 | + | 0.623657i | ||||
\(378\) | −625.410 | − | 267.839i | −1.65452 | − | 0.708568i | ||||
\(379\) | 236.972 | − | 677.226i | 0.625255 | − | 1.78688i | 0.00818644 | − | 0.999966i | \(-0.497394\pi\) |
0.617068 | − | 0.786909i | \(-0.288320\pi\) | |||||||
\(380\) | −654.496 | − | 310.963i | −1.72236 | − | 0.818323i | ||||
\(381\) | −56.6341 | + | 105.910i | −0.148646 | + | 0.277978i | ||||
\(382\) | −68.8858 | − | 37.8359i | −0.180329 | − | 0.0990469i | ||||
\(383\) | 205.929 | − | 427.615i | 0.537673 | − | 1.11649i | −0.438347 | − | 0.898806i | \(-0.644436\pi\) |
0.976020 | − | 0.217683i | \(-0.0698498\pi\) | |||||||
\(384\) | −340.422 | + | 177.676i | −0.886516 | + | 0.462699i | ||||
\(385\) | 494.670 | + | 787.262i | 1.28486 | + | 2.04484i | ||||
\(386\) | 644.725 | − | 269.041i | 1.67027 | − | 0.696996i | ||||
\(387\) | 17.1038 | − | 8.82833i | 0.0441958 | − | 0.0228122i | ||||
\(388\) | −16.2215 | − | 20.1233i | −0.0418080 | − | 0.0518642i | ||||
\(389\) | −116.655 | − | 116.655i | −0.299883 | − | 0.299883i | 0.541085 | − | 0.840968i | \(-0.318014\pi\) |
−0.840968 | + | 0.541085i | \(0.818014\pi\) | |||||||
\(390\) | 469.914 | + | 284.578i | 1.20491 | + | 0.729687i | ||||
\(391\) | −54.5293 | + | 19.0806i | −0.139461 | + | 0.0487996i | ||||
\(392\) | 513.638 | + | 711.948i | 1.31030 | + | 1.81619i | ||||
\(393\) | −159.557 | − | 370.605i | −0.405998 | − | 0.943016i | ||||
\(394\) | −18.3968 | + | 110.025i | −0.0466924 | + | 0.279252i | ||||
\(395\) | −156.920 | − | 98.5992i | −0.397265 | − | 0.249618i | ||||
\(396\) | −46.6380 | − | 319.051i | −0.117773 | − | 0.805684i | ||||
\(397\) | −132.680 | + | 581.309i | −0.334207 | + | 1.46425i | 0.476693 | + | 0.879070i | \(0.341835\pi\) |
−0.810900 | + | 0.585185i | \(0.801022\pi\) | |||||||
\(398\) | 269.450 | + | 110.781i | 0.677011 | + | 0.278345i | ||||
\(399\) | 545.118 | − | 627.256i | 1.36621 | − | 1.57207i | ||||
\(400\) | −304.202 | − | 615.062i | −0.760505 | − | 1.53766i | ||||
\(401\) | −164.525 | − | 341.640i | −0.410287 | − | 0.851970i | −0.999046 | − | 0.0436618i | \(-0.986098\pi\) |
0.588759 | − | 0.808309i | \(-0.299617\pi\) | |||||||
\(402\) | −311.527 | + | 40.3084i | −0.774944 | + | 0.100270i | ||||
\(403\) | −38.2075 | + | 339.101i | −0.0948077 | + | 0.841442i | ||||
\(404\) | −60.1215 | + | 76.2081i | −0.148816 | + | 0.188634i | ||||
\(405\) | −497.945 | + | 444.356i | −1.22949 | + | 1.09717i | ||||
\(406\) | 728.059 | + | 62.6007i | 1.79325 | + | 0.154189i | ||||
\(407\) | −146.908 | −0.360952 | ||||||||
\(408\) | −416.663 | + | 56.1392i | −1.02123 | + | 0.137596i | ||||
\(409\) | 52.7403 | − | 468.083i | 0.128949 | − | 1.14446i | −0.747940 | − | 0.663766i | \(-0.768957\pi\) |
0.876890 | − | 0.480692i | \(-0.159614\pi\) | |||||||
\(410\) | −1203.97 | − | 64.4410i | −2.93652 | − | 0.157173i | ||||
\(411\) | −126.048 | + | 92.0859i | −0.306685 | + | 0.224053i | ||||
\(412\) | −133.014 | + | 134.419i | −0.322850 | + | 0.326260i | ||||
\(413\) | 667.944 | − | 532.667i | 1.61730 | − | 1.28975i | ||||
\(414\) | −59.3417 | − | 1.53002i | −0.143337 | − | 0.00369571i | ||||
\(415\) | −238.296 | + | 1044.04i | −0.574207 | + | 2.51576i | ||||
\(416\) | 24.6011 | + | 354.755i | 0.0591373 | + | 0.852776i | ||||
\(417\) | −328.721 | − | 130.858i | −0.788300 | − | 0.313808i | ||||
\(418\) | 388.460 | + | 64.9524i | 0.929329 | + | 0.155388i | ||||
\(419\) | −651.248 | + | 148.643i | −1.55429 | + | 0.354757i | −0.911505 | − | 0.411289i | \(-0.865079\pi\) |
−0.642786 | + | 0.766046i | \(0.722222\pi\) | |||||||
\(420\) | 1223.88 | − | 232.080i | 2.91400 | − | 0.552572i | ||||
\(421\) | −305.053 | + | 106.743i | −0.724592 | + | 0.253546i | −0.667276 | − | 0.744810i | \(-0.732540\pi\) |
−0.0573160 | + | 0.998356i | \(0.518254\pi\) | |||||||
\(422\) | −471.987 | + | 530.954i | −1.11845 | + | 1.25819i | ||||
\(423\) | −484.322 | − | 216.926i | −1.14497 | − | 0.512828i | ||||
\(424\) | −7.51374 | − | 2.10068i | −0.0177211 | − | 0.00495443i | ||||
\(425\) | −84.1157 | − | 746.548i | −0.197919 | − | 1.75658i | ||||
\(426\) | 37.3507 | + | 57.3247i | 0.0876777 | + | 0.134565i | ||||
\(427\) | −404.708 | − | 644.089i | −0.947795 | − | 1.50841i | ||||
\(428\) | 68.5200 | + | 192.567i | 0.160094 | + | 0.449923i | ||||
\(429\) | −288.047 | − | 78.6820i | −0.671439 | − | 0.183408i | ||||
\(430\) | −16.9661 | + | 30.8892i | −0.0394560 | + | 0.0718355i | ||||
\(431\) | −138.901 | + | 174.176i | −0.322275 | + | 0.404120i | −0.916407 | − | 0.400247i | \(-0.868924\pi\) |
0.594132 | + | 0.804367i | \(0.297496\pi\) | |||||||
\(432\) | −420.776 | − | 97.8333i | −0.974019 | − | 0.226466i | ||||
\(433\) | −215.756 | + | 616.596i | −0.498282 | + | 1.42401i | 0.370509 | + | 0.928829i | \(0.379183\pi\) |
−0.868791 | + | 0.495179i | \(0.835102\pi\) | |||||||
\(434\) | 449.420 | + | 629.885i | 1.03553 | + | 1.45135i | ||||
\(435\) | 358.256 | − | 620.873i | 0.823576 | − | 1.42729i | ||||
\(436\) | −146.466 | + | 425.738i | −0.335931 | + | 0.976464i | ||||
\(437\) | 23.9479 | − | 68.4392i | 0.0548007 | − | 0.156611i | ||||
\(438\) | 13.0374 | + | 15.8070i | 0.0297657 | + | 0.0360890i | ||||
\(439\) | 87.7701 | − | 110.060i | 0.199932 | − | 0.250707i | −0.671751 | − | 0.740777i | \(-0.734458\pi\) |
0.871683 | + | 0.490070i | \(0.163029\pi\) | |||||||
\(440\) | 396.853 | + | 437.095i | 0.901938 | + | 0.993398i | ||||
\(441\) | −83.3599 | + | 984.104i | −0.189025 | + | 2.23153i | ||||
\(442\) | −106.800 | + | 374.406i | −0.241629 | + | 0.847073i | ||||
\(443\) | −289.644 | − | 460.966i | −0.653825 | − | 1.04056i | −0.994934 | − | 0.100532i | \(-0.967945\pi\) |
0.341109 | − | 0.940024i | \(-0.389197\pi\) | |||||||
\(444\) | −71.8341 | + | 183.247i | −0.161788 | + | 0.412718i | ||||
\(445\) | −80.8354 | − | 717.434i | −0.181653 | − | 1.61221i | ||||
\(446\) | 698.252 | − | 41.0535i | 1.56559 | − | 0.0920482i | ||||
\(447\) | 569.906 | + | 392.619i | 1.27496 | + | 0.878343i | ||||
\(448\) | 579.085 | + | 561.110i | 1.29260 | + | 1.25248i | ||||
\(449\) | −345.703 | + | 120.967i | −0.769941 | + | 0.269414i | −0.686530 | − | 0.727101i | \(-0.740867\pi\) |
−0.0834105 | + | 0.996515i | \(0.526581\pi\) | |||||||
\(450\) | 191.116 | − | 747.919i | 0.424702 | − | 1.66204i | ||||
\(451\) | 638.907 | − | 145.826i | 1.41665 | − | 0.323340i | ||||
\(452\) | −180.328 | − | 369.476i | −0.398955 | − | 0.817424i | ||||
\(453\) | 223.238 | − | 560.785i | 0.492799 | − | 1.23794i | ||||
\(454\) | −379.421 | + | 340.869i | −0.835730 | + | 0.750812i | ||||
\(455\) | 256.697 | − | 1124.66i | 0.564168 | − | 2.47178i | ||||
\(456\) | 270.966 | − | 452.789i | 0.594223 | − | 0.992959i | ||||
\(457\) | 435.404 | − | 347.223i | 0.952744 | − | 0.759788i | −0.0180167 | − | 0.999838i | \(-0.505735\pi\) |
0.970761 | + | 0.240050i | \(0.0771638\pi\) | |||||||
\(458\) | 50.1533 | − | 8.65703i | 0.109505 | − | 0.0189018i | ||||
\(459\) | −396.779 | − | 257.444i | −0.864442 | − | 0.560880i | ||||
\(460\) | 91.7238 | − | 58.3083i | 0.199400 | − | 0.126757i | ||||
\(461\) | 3.07648 | − | 27.3045i | 0.00667349 | − | 0.0592288i | −0.989934 | − | 0.141529i | \(-0.954798\pi\) |
0.996608 | + | 0.0823003i | \(0.0262267\pi\) | |||||||
\(462\) | −605.103 | + | 303.782i | −1.30975 | + | 0.657538i | ||||
\(463\) | −86.2101 | −0.186199 | −0.0930995 | − | 0.995657i | \(-0.529677\pi\) | ||||
−0.0930995 | + | 0.995657i | \(0.529677\pi\) | |||||||
\(464\) | 462.105 | − | 41.8928i | 0.995916 | − | 0.0902862i | ||||
\(465\) | 746.475 | − | 137.492i | 1.60532 | − | 0.295682i | ||||
\(466\) | −120.944 | − | 415.699i | −0.259537 | − | 0.892057i | ||||
\(467\) | −18.1798 | + | 161.350i | −0.0389288 | + | 0.345503i | 0.959117 | + | 0.283011i | \(0.0913333\pi\) |
−0.998045 | + | 0.0624918i | \(0.980095\pi\) | |||||||
\(468\) | −238.993 | + | 320.825i | −0.510668 | + | 0.685524i | ||||
\(469\) | 286.195 | + | 594.290i | 0.610224 | + | 1.26714i | ||||
\(470\) | 957.499 | − | 165.275i | 2.03723 | − | 0.351649i | ||||
\(471\) | 540.867 | + | 470.041i | 1.14834 | + | 0.997965i | ||||
\(472\) | 358.276 | − | 407.327i | 0.759059 | − | 0.862982i | ||||
\(473\) | 4.26244 | − | 18.6750i | 0.00901150 | − | 0.0394820i | ||||
\(474\) | 82.3948 | − | 106.886i | 0.173829 | − | 0.225497i | ||||
\(475\) | 798.388 | + | 501.660i | 1.68082 | + | 1.05613i | ||||
\(476\) | 387.221 | + | 793.381i | 0.813489 | + | 1.66677i | ||||
\(477\) | −4.87371 | − | 7.29963i | −0.0102174 | − | 0.0153032i | ||||
\(478\) | −46.3609 | − | 32.7120i | −0.0969893 | − | 0.0684352i | ||||
\(479\) | 289.622 | − | 101.343i | 0.604639 | − | 0.211572i | −0.0105600 | − | 0.999944i | \(-0.503361\pi\) |
0.615199 | + | 0.788372i | \(0.289076\pi\) | |||||||
\(480\) | 739.266 | − | 281.290i | 1.54014 | − | 0.586021i | ||||
\(481\) | 128.885 | + | 128.885i | 0.267951 | + | 0.267951i | ||||
\(482\) | −174.273 | + | 10.2463i | −0.361562 | + | 0.0212579i | ||||
\(483\) | 36.1627 | + | 119.289i | 0.0748711 | + | 0.246975i | ||||
\(484\) | 138.563 | + | 86.0526i | 0.286287 | + | 0.177795i | ||||
\(485\) | 28.3259 | + | 45.0805i | 0.0584040 | + | 0.0929494i | ||||
\(486\) | −287.448 | − | 391.880i | −0.591456 | − | 0.806337i | ||||
\(487\) | 22.8819 | − | 47.5147i | 0.0469854 | − | 0.0975662i | −0.876155 | − | 0.482030i | \(-0.839899\pi\) |
0.923140 | + | 0.384464i | \(0.125614\pi\) | |||||||
\(488\) | −324.680 | − | 357.605i | −0.665329 | − | 0.732796i | ||||
\(489\) | 613.159 | + | 327.880i | 1.25390 | + | 0.670512i | ||||
\(490\) | −878.866 | − | 1580.37i | −1.79360 | − | 3.22524i | ||||
\(491\) | 125.103 | − | 357.523i | 0.254792 | − | 0.728152i | −0.743445 | − | 0.668797i | \(-0.766810\pi\) |
0.998237 | − | 0.0593557i | \(-0.0189046\pi\) | |||||||
\(492\) | 130.511 | − | 868.253i | 0.265267 | − | 1.76474i | ||||
\(493\) | 491.371 | + | 128.980i | 0.996695 | + | 0.261622i | ||||
\(494\) | −283.819 | − | 397.786i | −0.574531 | − | 0.805235i | ||||
\(495\) | 18.3920 | + | 663.919i | 0.0371555 | + | 1.34125i | ||||
\(496\) | 351.050 | + | 343.749i | 0.707763 | + | 0.693042i | ||||
\(497\) | 89.5767 | − | 112.326i | 0.180235 | − | 0.226007i | ||||
\(498\) | −740.222 | − | 245.404i | −1.48639 | − | 0.492779i | ||||
\(499\) | −764.700 | − | 368.260i | −1.53246 | − | 0.737996i | −0.537988 | − | 0.842953i | \(-0.680815\pi\) |
−0.994477 | + | 0.104957i | \(0.966530\pi\) | |||||||
\(500\) | 197.613 | + | 555.367i | 0.395226 | + | 1.11073i | ||||
\(501\) | −406.051 | − | 441.901i | −0.810482 | − | 0.882037i | ||||
\(502\) | −205.716 | + | 85.8440i | −0.409792 | + | 0.171004i | ||||
\(503\) | 19.2101 | + | 170.494i | 0.0381910 | + | 0.338954i | 0.998249 | + | 0.0591531i | \(0.0188400\pi\) |
−0.960058 | + | 0.279801i | \(0.909731\pi\) | |||||||
\(504\) | 83.0464 | + | 903.323i | 0.164775 | + | 1.79231i | ||||
\(505\) | 141.382 | − | 141.382i | 0.279964 | − | 0.279964i | ||||
\(506\) | −39.2491 | + | 44.1527i | −0.0775675 | + | 0.0872584i | ||||
\(507\) | −67.6868 | − | 118.562i | −0.133504 | − | 0.233850i | ||||
\(508\) | 160.133 | − | 0.841417i | 0.315222 | − | 0.00165633i | ||||
\(509\) | −653.008 | + | 149.045i | −1.28292 | + | 0.292819i | −0.809032 | − | 0.587765i | \(-0.800008\pi\) |
−0.473891 | + | 0.880584i | \(0.657151\pi\) | |||||||
\(510\) | 865.890 | − | 14.2666i | 1.69782 | − | 0.0279738i | ||||
\(511\) | 22.8909 | − | 36.4307i | 0.0447964 | − | 0.0712930i | ||||
\(512\) | 424.455 | + | 286.324i | 0.829014 | + | 0.559227i | ||||
\(513\) | 563.116 | − | 187.888i | 1.09769 | − | 0.366253i | ||||
\(514\) | −825.735 | − | 339.492i | −1.60649 | − | 0.660490i | ||||
\(515\) | 304.544 | − | 242.866i | 0.591348 | − | 0.471584i | ||||
\(516\) | −21.2102 | − | 14.4484i | −0.0411051 | − | 0.0280008i | ||||
\(517\) | −475.829 | + | 229.147i | −0.920366 | + | 0.443225i | ||||
\(518\) | 412.708 | + | 22.0897i | 0.796734 | + | 0.0426441i | ||||
\(519\) | 11.3972 | + | 162.674i | 0.0219600 | + | 0.313437i | ||||
\(520\) | 35.3056 | − | 731.637i | 0.0678953 | − | 1.40699i | ||||
\(521\) | −355.660 | −0.682649 | −0.341325 | − | 0.939945i | \(-0.610876\pi\) | ||||
−0.341325 | + | 0.939945i | \(0.610876\pi\) | |||||||
\(522\) | 425.125 | + | 302.907i | 0.814415 | + | 0.580283i | ||||
\(523\) | 354.535i | 0.677886i | 0.940807 | + | 0.338943i | \(0.110069\pi\) | ||||
−0.940807 | + | 0.338943i | \(0.889931\pi\) | |||||||
\(524\) | −333.217 | + | 422.375i | −0.635910 | + | 0.806059i | ||||
\(525\) | −1617.01 | + | 113.291i | −3.08002 | + | 0.215792i | ||||
\(526\) | 323.639 | + | 17.3223i | 0.615283 | + | 0.0329322i | ||||
\(527\) | 233.400 | + | 484.661i | 0.442885 | + | 0.919660i | ||||
\(528\) | −344.465 | + | 257.249i | −0.652395 | + | 0.487214i | ||||
\(529\) | −323.045 | − | 405.086i | −0.610671 | − | 0.765758i | ||||
\(530\) | 14.8633 | + | 6.11089i | 0.0280440 | + | 0.0115300i | ||||
\(531\) | 604.321 | − | 85.0972i | 1.13808 | − | 0.160258i | ||||
\(532\) | −1081.53 | − | 240.881i | −2.03296 | − | 0.452784i | ||||
\(533\) | −688.461 | − | 432.588i | −1.29167 | − | 0.811611i | ||||
\(534\) | 525.682 | − | 8.66126i | 0.984423 | − | 0.0162196i | ||||
\(535\) | −93.6852 | − | 410.461i | −0.175112 | − | 0.767218i | ||||
\(536\) | 245.051 | + | 339.663i | 0.457185 | + | 0.633699i | ||||
\(537\) | −247.667 | + | 141.393i | −0.461204 | + | 0.263301i | ||||
\(538\) | −47.6023 | + | 53.5494i | −0.0884800 | + | 0.0995343i | ||||
\(539\) | 694.999 | + | 694.999i | 1.28942 | + | 1.28942i | ||||
\(540\) | 837.139 | + | 301.698i | 1.55026 | + | 0.558700i | ||||
\(541\) | 650.212 | − | 73.2613i | 1.20187 | − | 0.135418i | 0.511764 | − | 0.859126i | \(-0.328992\pi\) |
0.690106 | + | 0.723708i | \(0.257564\pi\) | |||||||
\(542\) | 195.852 | − | 81.7280i | 0.361350 | − | 0.150790i | ||||
\(543\) | −24.9358 | + | 22.9129i | −0.0459223 | + | 0.0421969i | ||||
\(544\) | 330.363 | + | 452.878i | 0.607285 | + | 0.832497i | ||||
\(545\) | 402.380 | − | 835.551i | 0.738313 | − | 1.53312i | ||||
\(546\) | 797.381 | + | 264.354i | 1.46040 | + | 0.484164i | ||||
\(547\) | −90.1814 | − | 71.9173i | −0.164866 | − | 0.131476i | 0.537582 | − | 0.843212i | \(-0.319338\pi\) |
−0.702447 | + | 0.711736i | \(0.747909\pi\) | |||||||
\(548\) | 187.996 | + | 89.3202i | 0.343058 | + | 0.162993i | ||||
\(549\) | −15.0472 | − | 543.178i | −0.0274083 | − | 0.989395i | ||||
\(550\) | −446.201 | − | 625.374i | −0.811275 | − | 1.13704i | ||||
\(551\) | −511.079 | + | 381.236i | −0.927548 | + | 0.691898i | ||||
\(552\) | 35.8826 | + | 70.5474i | 0.0650046 | + | 0.127803i | ||||
\(553\) | −267.486 | − | 93.5975i | −0.483700 | − | 0.169254i | ||||
\(554\) | −191.491 | − | 344.338i | −0.345652 | − | 0.621548i | ||||
\(555\) | 191.178 | − | 357.517i | 0.344465 | − | 0.644174i | ||||
\(556\) | 55.2812 | + | 468.496i | 0.0994267 | + | 0.842618i | ||||
\(557\) | −430.201 | − | 207.174i | −0.772353 | − | 0.371946i | 0.00582995 | − | 0.999983i | \(-0.498144\pi\) |
−0.778183 | + | 0.628037i | \(0.783859\pi\) | |||||||
\(558\) | 47.7095 | + | 550.677i | 0.0855009 | + | 0.986876i | ||||
\(559\) | −20.1234 | + | 12.6444i | −0.0359989 | + | 0.0226196i | ||||
\(560\) | −1049.16 | − | 1287.61i | −1.87349 | − | 2.29930i | ||||
\(561\) | −450.462 | + | 136.559i | −0.802962 | + | 0.243420i | ||||
\(562\) | −805.814 | + | 47.3776i | −1.43383 | + | 0.0843018i | ||||
\(563\) | −418.869 | + | 418.869i | −0.743994 | + | 0.743994i | −0.973344 | − | 0.229350i | \(-0.926340\pi\) |
0.229350 | + | 0.973344i | \(0.426340\pi\) | |||||||
\(564\) | 53.1610 | + | 705.578i | 0.0942571 | + | 1.25102i | ||||
\(565\) | 279.701 | + | 799.339i | 0.495046 | + | 1.41476i | ||||
\(566\) | 302.887 | + | 213.716i | 0.535136 | + | 0.377589i | ||||
\(567\) | −591.139 | + | 831.880i | −1.04257 | + | 1.46716i | ||||
\(568\) | 43.4969 | − | 80.1882i | 0.0765791 | − | 0.141176i | ||||
\(569\) | 101.406 | − | 161.387i | 0.178218 | − | 0.283632i | −0.745655 | − | 0.666333i | \(-0.767863\pi\) |
0.923872 | + | 0.382701i | \(0.125006\pi\) | |||||||
\(570\) | −663.591 | + | 860.835i | −1.16419 | + | 1.51024i | ||||
\(571\) | 557.747 | + | 127.302i | 0.976789 | + | 0.222946i | 0.680981 | − | 0.732301i | \(-0.261554\pi\) |
0.295809 | + | 0.955247i | \(0.404411\pi\) | |||||||
\(572\) | 90.6313 | + | 387.681i | 0.158446 | + | 0.677763i | ||||
\(573\) | −77.3302 | + | 88.9824i | −0.134957 | + | 0.155292i | ||||
\(574\) | −1816.81 | + | 313.602i | −3.16518 | + | 0.546345i | ||||
\(575\) | −127.426 | + | 61.3652i | −0.221611 | + | 0.106722i | ||||
\(576\) | 152.448 | + | 555.460i | 0.264666 | + | 0.964340i | ||||
\(577\) | 256.248 | + | 28.8722i | 0.444104 | + | 0.0500385i | 0.331185 | − | 0.943566i | \(-0.392552\pi\) |
0.112919 | + | 0.993604i | \(0.463980\pi\) | |||||||
\(578\) | 9.98640 | + | 34.3243i | 0.0172775 | + | 0.0593846i | ||||
\(579\) | −189.821 | − | 1030.58i | −0.327842 | − | 1.77993i | ||||
\(580\) | −955.410 | − | 25.8452i | −1.64726 | − | 0.0445607i | ||||
\(581\) | 1637.55i | 2.81849i | ||||||||
\(582\) | −34.6496 | + | 17.3953i | −0.0595354 | + | 0.0298888i | ||||
\(583\) | −8.67996 | − | 0.977997i | −0.0148884 | − | 0.00167752i | ||||
\(584\) | 10.2556 | − | 25.3218i | 0.0175609 | − | 0.0433593i | ||||
\(585\) | 566.332 | − | 598.603i | 0.968089 | − | 1.02325i | ||||
\(586\) | −481.625 | + | 83.1338i | −0.821886 | + | 0.141867i | ||||
\(587\) | 67.7706 | + | 84.9816i | 0.115452 | + | 0.144773i | 0.836200 | − | 0.548425i | \(-0.184773\pi\) |
−0.720747 | + | 0.693198i | \(0.756201\pi\) | |||||||
\(588\) | 1206.75 | − | 527.078i | 2.05230 | − | 0.896391i | ||||
\(589\) | −658.227 | − | 150.236i | −1.11753 | − | 0.255070i | ||||
\(590\) | −831.222 | + | 746.763i | −1.40885 | + | 1.26570i | ||||
\(591\) | 155.464 | + | 61.8873i | 0.263052 | + | 0.104716i | ||||
\(592\) | 260.458 | − | 32.1219i | 0.439963 | − | 0.0542599i | ||||
\(593\) | 106.769 | + | 467.784i | 0.180048 | + | 0.788843i | 0.981605 | + | 0.190924i | \(0.0611484\pi\) |
−0.801557 | + | 0.597919i | \(0.795994\pi\) | |||||||
\(594\) | −482.543 | − | 32.8781i | −0.812363 | − | 0.0553504i | ||||
\(595\) | −600.606 | − | 1716.43i | −1.00942 | − | 2.88476i | ||||
\(596\) | 98.4949 | − | 917.470i | 0.165260 | − | 1.53938i | ||||
\(597\) | 247.921 | − | 359.869i | 0.415278 | − | 0.602796i | ||||
\(598\) | 73.1699 | − | 4.30200i | 0.122358 | − | 0.00719399i | ||||
\(599\) | −310.835 | + | 35.0227i | −0.518923 | + | 0.0584686i | −0.367542 | − | 0.930007i | \(-0.619801\pi\) |
−0.151381 | + | 0.988476i | \(0.548372\pi\) | |||||||
\(600\) | −998.248 | + | 250.782i | −1.66375 | + | 0.417970i | ||||
\(601\) | 895.781 | − | 562.857i | 1.49048 | − | 0.936534i | 0.492687 | − | 0.870207i | \(-0.336015\pi\) |
0.997798 | − | 0.0663270i | \(-0.0211281\pi\) | |||||||
\(602\) | −14.7825 | + | 51.8228i | −0.0245557 | + | 0.0860843i | ||||
\(603\) | −39.7701 | + | 469.505i | −0.0659537 | + | 0.778616i | ||||
\(604\) | −799.235 | + | 94.3076i | −1.32324 | + | 0.156138i | ||||
\(605\) | −262.678 | − | 209.478i | −0.434178 | − | 0.346245i | ||||
\(606\) | 92.6447 | + | 112.326i | 0.152879 | + | 0.185356i | ||||
\(607\) | 163.798 | + | 57.3153i | 0.269848 | + | 0.0944239i | 0.461811 | − | 0.886978i | \(-0.347200\pi\) |
−0.191963 | + | 0.981402i | \(0.561485\pi\) | |||||||
\(608\) | −702.917 | − | 30.2185i | −1.15611 | − | 0.0497015i | ||||
\(609\) | 322.827 | − | 1047.50i | 0.530093 | − | 1.72004i | ||||
\(610\) | 577.859 | + | 809.899i | 0.947310 | + | 1.32770i | ||||
\(611\) | 618.488 | + | 216.418i | 1.01226 | + | 0.354204i | ||||
\(612\) | −49.9262 | + | 628.662i | −0.0815787 | + | 1.02723i | ||||
\(613\) | −58.3739 | − | 46.5516i | −0.0952266 | − | 0.0759407i | 0.574719 | − | 0.818351i | \(-0.305111\pi\) |
−0.669946 | + | 0.742410i | \(0.733683\pi\) | |||||||
\(614\) | −154.133 | + | 280.622i | −0.251031 | + | 0.457039i | ||||
\(615\) | −476.556 | + | 1744.63i | −0.774889 | + | 2.83679i | ||||
\(616\) | 740.358 | + | 516.588i | 1.20188 | + | 0.838616i | ||||
\(617\) | 192.136 | − | 120.727i | 0.311404 | − | 0.195668i | −0.367258 | − | 0.930119i | \(-0.619703\pi\) |
0.678661 | + | 0.734451i | \(0.262560\pi\) | |||||||
\(618\) | 154.852 | + | 237.663i | 0.250570 | + | 0.384568i | ||||
\(619\) | 698.399 | − | 78.6907i | 1.12827 | − | 0.127126i | 0.471962 | − | 0.881619i | \(-0.343546\pi\) |
0.656308 | + | 0.754493i | \(0.272117\pi\) | |||||||
\(620\) | −635.147 | − | 787.920i | −1.02443 | − | 1.27084i | ||||
\(621\) | −21.0753 | + | 86.5120i | −0.0339377 | + | 0.139311i | ||||
\(622\) | 364.688 | − | 410.250i | 0.586315 | − | 0.659566i | ||||
\(623\) | −364.628 | − | 1042.05i | −0.585278 | − | 1.67263i | ||||
\(624\) | 527.894 | + | 76.5159i | 0.845984 | + | 0.122622i | ||||
\(625\) | −31.6130 | − | 138.505i | −0.0505808 | − | 0.221609i | ||||
\(626\) | 9.56424 | + | 1.59919i | 0.0152783 | + | 0.00255461i | ||||
\(627\) | 218.502 | − | 548.886i | 0.348487 | − | 0.875417i | ||||
\(628\) | 207.706 | − | 932.580i | 0.330742 | − | 1.48500i | ||||
\(629\) | 280.123 | + | 63.9362i | 0.445346 | + | 0.101647i | ||||
\(630\) | 48.1610 | − | 1867.91i | 0.0764460 | − | 2.96494i | ||||
\(631\) | −87.6828 | − | 109.951i | −0.138958 | − | 0.174248i | 0.707483 | − | 0.706731i | \(-0.249831\pi\) |
−0.846441 | + | 0.532482i | \(0.821259\pi\) | |||||||
\(632\) | −177.633 | − | 28.7424i | −0.281064 | − | 0.0454785i | ||||
\(633\) | 628.617 | + | 860.453i | 0.993076 | + | 1.35933i | ||||
\(634\) | −3.81114 | − | 0.203986i | −0.00601126 | − | 0.000321745i | ||||
\(635\) | −327.776 | − | 36.9315i | −0.516182 | − | 0.0581598i | ||||
\(636\) | −5.46420 | + | 10.3488i | −0.00859150 | + | 0.0162717i | ||||
\(637\) | − | 1219.47i | − | 1.91440i | ||||||
\(638\) | 503.233 | − | 128.940i | 0.788766 | − | 0.202100i | ||||
\(639\) | 95.8940 | − | 36.5657i | 0.150069 | − | 0.0572233i | ||||
\(640\) | −799.168 | − | 688.170i | −1.24870 | − | 1.07527i | ||||
\(641\) | −1155.25 | − | 130.165i | −1.80226 | − | 0.203066i | −0.853937 | − | 0.520376i | \(-0.825792\pi\) |
−0.948322 | + | 0.317310i | \(0.897220\pi\) | |||||||
\(642\) | 304.057 | − | 39.3418i | 0.473609 | − | 0.0612800i | ||||
\(643\) | 323.797 | − | 155.932i | 0.503572 | − | 0.242507i | −0.164811 | − | 0.986325i | \(-0.552701\pi\) |
0.668382 | + | 0.743818i | \(0.266987\pi\) | |||||||
\(644\) | 116.902 | − | 118.137i | 0.181524 | − | 0.183442i | ||||
\(645\) | 39.9008 | + | 34.6758i | 0.0618617 | + | 0.0537610i | ||||
\(646\) | −712.444 | − | 292.914i | −1.10286 | − | 0.453427i | ||||
\(647\) | −798.040 | − | 182.147i | −1.23345 | − | 0.281526i | −0.444382 | − | 0.895837i | \(-0.646577\pi\) |
−0.789064 | + | 0.614311i | \(0.789434\pi\) | |||||||
\(648\) | −276.962 | + | 585.829i | −0.427411 | + | 0.904057i | ||||
\(649\) | 323.128 | − | 514.255i | 0.497886 | − | 0.792381i | ||||
\(650\) | −157.191 | + | 940.112i | −0.241833 | + | 1.44633i | ||||
\(651\) | 1066.06 | − | 458.974i | 1.63758 | − | 0.705029i | ||||
\(652\) | −4.87134 | − | 927.080i | −0.00747139 | − | 1.42190i | ||||
\(653\) | −23.0323 | − | 65.8224i | −0.0352715 | − | 0.100800i | 0.924901 | − | 0.380208i | \(-0.124148\pi\) |
−0.960173 | + | 0.279408i | \(0.909862\pi\) | |||||||
\(654\) | 577.670 | + | 349.835i | 0.883288 | + | 0.534916i | ||||
\(655\) | 783.593 | − | 783.593i | 1.19632 | − | 1.19632i | ||||
\(656\) | −1100.86 | + | 398.240i | −1.67814 | + | 0.607074i | ||||
\(657\) | 27.3112 | − | 14.0970i | 0.0415695 | − | 0.0214566i | ||||
\(658\) | 1371.20 | − | 572.197i | 2.08390 | − | 0.869600i | ||||
\(659\) | 133.562 | − | 83.9224i | 0.202673 | − | 0.127348i | −0.426871 | − | 0.904312i | \(-0.640384\pi\) |
0.629545 | + | 0.776964i | \(0.283241\pi\) | |||||||
\(660\) | 766.743 | − | 443.091i | 1.16173 | − | 0.671349i | ||||
\(661\) | 1039.94 | + | 500.809i | 1.57328 | + | 0.757654i | 0.998173 | − | 0.0604213i | \(-0.0192444\pi\) |
0.575111 | + | 0.818075i | \(0.304959\pi\) | |||||||
\(662\) | 81.5409 | + | 44.7868i | 0.123174 | + | 0.0676538i | ||||
\(663\) | 515.003 | + | 275.392i | 0.776777 | + | 0.415373i | ||||
\(664\) | 182.245 | + | 1023.69i | 0.274465 | + | 1.54171i | ||||
\(665\) | 2154.28 | + | 753.815i | 3.23952 | + | 1.13356i | ||||
\(666\) | 245.851 | + | 163.466i | 0.369146 | + | 0.245444i | ||||
\(667\) | −7.63338 | − | 95.3327i | −0.0114443 | − | 0.142928i | ||||
\(668\) | −260.308 | + | 756.646i | −0.389682 | + | 1.13270i | ||||
\(669\) | 161.406 | − | 1036.70i | 0.241264 | − | 1.54962i | ||||
\(670\) | −419.297 | − | 753.976i | −0.625817 | − | 1.12534i | ||||
\(671\) | −422.793 | − | 337.166i | −0.630093 | − | 0.502483i | ||||
\(672\) | 1006.39 | − | 670.895i | 1.49760 | − | 0.998356i | ||||
\(673\) | −308.677 | + | 640.974i | −0.458658 | + | 0.952413i | 0.535506 | + | 0.844531i | \(0.320121\pi\) |
−0.994164 | + | 0.107881i | \(0.965593\pi\) | |||||||
\(674\) | 877.347 | + | 250.265i | 1.30170 | + | 0.371313i | ||||
\(675\) | −1035.83 | − | 517.538i | −1.53456 | − | 0.766723i | ||||
\(676\) | −96.0347 | + | 154.636i | −0.142063 | + | 0.228752i | ||||
\(677\) | 1051.44 | − | 118.469i | 1.55309 | − | 0.174991i | 0.706685 | − | 0.707529i | \(-0.250190\pi\) |
0.846407 | + | 0.532537i | \(0.178761\pi\) | |||||||
\(678\) | −598.895 | + | 147.115i | −0.883326 | + | 0.216983i | ||||
\(679\) | 57.5677 | + | 57.5677i | 0.0847831 | + | 0.0847831i | ||||
\(680\) | −566.487 | − | 1006.17i | −0.833069 | − | 1.47966i | ||||
\(681\) | 379.319 | + | 664.424i | 0.557002 | + | 0.975659i | ||||
\(682\) | 449.459 | + | 317.136i | 0.659031 | + | 0.465009i | ||||
\(683\) | 168.547 | + | 738.453i | 0.246775 | + | 1.08119i | 0.934708 | + | 0.355416i | \(0.115661\pi\) |
−0.687933 | + | 0.725774i | \(0.741482\pi\) | |||||||
\(684\) | −577.818 | − | 540.942i | −0.844763 | − | 0.790850i | ||||
\(685\) | −363.011 | − | 228.095i | −0.529943 | − | 0.332985i | ||||
\(686\) | −1022.80 | − | 1138.48i | −1.49096 | − | 1.65959i | ||||
\(687\) | 3.22469 | − | 76.2744i | 0.00469387 | − | 0.111025i | ||||
\(688\) | −3.47370 | + | 34.0416i | −0.00504898 | + | 0.0494790i | ||||
\(689\) | 6.75707 | + | 8.47310i | 0.00980707 | + | 0.0122977i | ||||
\(690\) | −56.3739 | − | 152.975i | −0.0817013 | − | 0.221704i | ||||
\(691\) | 418.512 | + | 869.049i | 0.605661 | + | 1.25767i | 0.948053 | + | 0.318111i | \(0.103049\pi\) |
−0.342392 | + | 0.939557i | \(0.611237\pi\) | |||||||
\(692\) | 183.493 | − | 116.646i | 0.265164 | − | 0.168563i | ||||
\(693\) | 253.328 | + | 983.514i | 0.365552 | + | 1.41921i | ||||
\(694\) | −59.9332 | − | 205.997i | −0.0863591 | − | 0.296825i | ||||
\(695\) | − | 971.715i | − | 1.39815i | ||||||
\(696\) | 85.2333 | − | 690.761i | 0.122462 | − | 0.992473i | ||||
\(697\) | −1281.73 | −1.83892 | ||||||||
\(698\) | 465.525 | − | 135.441i | 0.666941 | − | 0.194041i | ||||
\(699\) | −647.815 | + | 45.3870i | −0.926774 | + | 0.0649313i | ||||
\(700\) | 1159.48 | + | 1823.96i | 1.65640 | + | 2.60566i | ||||
\(701\) | −706.242 | + | 340.108i | −1.00748 | + | 0.485176i | −0.863470 | − | 0.504401i | \(-0.831713\pi\) |
−0.144008 | + | 0.989576i | \(0.545999\pi\) | |||||||
\(702\) | 394.499 | + | 452.188i | 0.561965 | + | 0.644143i | ||||
\(703\) | −281.945 | + | 224.843i | −0.401059 | + | 0.319834i | ||||
\(704\) | 520.318 | + | 240.543i | 0.739088 | + | 0.341681i | ||||
\(705\) | 61.5639 | − | 1456.19i | 0.0873247 | − | 2.06551i | ||||
\(706\) | 359.389 | − | 322.872i | 0.509050 | − | 0.457326i | ||||
\(707\) | 162.665 | − | 258.880i | 0.230078 | − | 0.366167i | ||||
\(708\) | −483.461 | − | 654.515i | −0.682854 | − | 0.924456i | ||||
\(709\) | −842.252 | + | 192.239i | −1.18794 | + | 0.271140i | −0.770427 | − | 0.637528i | \(-0.779957\pi\) |
−0.417517 | + | 0.908669i | \(0.637100\pi\) | |||||||
\(710\) | −108.335 | + | 153.536i | −0.152584 | + | 0.216249i | ||||
\(711\) | −130.551 | − | 154.715i | −0.183616 | − | 0.217602i | ||||
\(712\) | −343.914 | − | 610.844i | −0.483025 | − | 0.857927i | ||||
\(713\) | 71.6086 | − | 71.6086i | 0.100433 | − | 0.100433i | ||||
\(714\) | 1286.02 | − | 315.902i | 1.80114 | − | 0.442439i | ||||
\(715\) | −91.8205 | − | 814.929i | −0.128420 | − | 1.13976i | ||||
\(716\) | 323.023 | + | 200.609i | 0.451149 | + | 0.280180i | ||||
\(717\) | −62.6701 | + | 57.5859i | −0.0874059 | + | 0.0803151i | ||||
\(718\) | −163.748 | + | 574.048i | −0.228062 | + | 0.799510i | ||||
\(719\) | −551.083 | − | 265.388i | −0.766458 | − | 0.369107i | 0.00944809 | − | 0.999955i | \(-0.496993\pi\) |
−0.775906 | + | 0.630849i | \(0.782707\pi\) | |||||||
\(720\) | −177.776 | − | 1173.07i | −0.246911 | − | 1.62926i | ||||
\(721\) | 371.376 | − | 465.691i | 0.515085 | − | 0.645896i | ||||
\(722\) | 213.949 | − | 118.980i | 0.296328 | − | 0.164793i | ||||
\(723\) | −40.2843 | + | 258.743i | −0.0557182 | + | 0.357874i | ||||
\(724\) | 42.6965 | + | 14.6888i | 0.0589730 | + | 0.0202884i | ||||
\(725\) | 1230.74 | + | 179.088i | 1.69757 | + | 0.247019i | ||||
\(726\) | 170.130 | − | 175.830i | 0.234339 | − | 0.242191i | ||||
\(727\) | −329.675 | + | 942.157i | −0.453473 | + | 1.29595i | 0.459589 | + | 0.888132i | \(0.347997\pi\) |
−0.913062 | + | 0.407820i | \(0.866289\pi\) | |||||||
\(728\) | −196.318 | − | 1102.74i | −0.269667 | − | 1.51475i | ||||
\(729\) | −665.736 | + | 297.047i | −0.913218 | + | 0.407472i | ||||
\(730\) | −27.0913 | + | 49.3237i | −0.0371114 | + | 0.0675667i | ||||
\(731\) | −16.2552 | + | 33.7543i | −0.0222369 | + | 0.0461755i | ||||
\(732\) | −627.302 | + | 362.510i | −0.856970 | + | 0.495232i | ||||
\(733\) | −94.6858 | − | 150.692i | −0.129176 | − | 0.205582i | 0.775874 | − | 0.630888i | \(-0.217309\pi\) |
−0.905050 | + | 0.425306i | \(0.860166\pi\) | |||||||
\(734\) | −166.066 | − | 397.957i | −0.226247 | − | 0.542176i | ||||
\(735\) | −2595.80 | + | 786.924i | −3.53170 | + | 1.07064i | ||||
\(736\) | 59.9322 | − | 86.8620i | 0.0814296 | − | 0.118019i | ||||
\(737\) | 331.577 | + | 331.577i | 0.449900 | + | 0.449900i | ||||
\(738\) | −1231.48 | − | 466.877i | −1.66867 | − | 0.632625i | ||||
\(739\) | 496.501 | − | 173.733i | 0.671855 | − | 0.235092i | 0.0272738 | − | 0.999628i | \(-0.491317\pi\) |
0.644581 | + | 0.764536i | \(0.277032\pi\) | |||||||
\(740\) | −540.556 | + | 2.84035i | −0.730481 | + | 0.00383831i | ||||
\(741\) | −673.243 | + | 289.852i | −0.908560 | + | 0.391164i | ||||
\(742\) | 24.2376 | + | 4.05265i | 0.0326652 | + | 0.00546179i | ||||
\(743\) | −514.788 | − | 323.463i | −0.692850 | − | 0.435347i | 0.139040 | − | 0.990287i | \(-0.455598\pi\) |
−0.831890 | + | 0.554940i | \(0.812741\pi\) | |||||||
\(744\) | 615.358 | − | 405.566i | 0.827094 | − | 0.545116i | ||||
\(745\) | −422.943 | + | 1853.03i | −0.567709 | + | 2.48729i | ||||
\(746\) | 44.0887 | − | 107.235i | 0.0591001 | − | 0.143747i | ||||
\(747\) | −594.685 | + | 1007.32i | −0.796097 | + | 1.34849i | ||||
\(748\) | 446.111 | + | 441.448i | 0.596406 | + | 0.590171i | ||||
\(749\) | −279.332 | − | 580.039i | −0.372940 | − | 0.774418i | ||||
\(750\) | 876.906 | − | 113.462i | 1.16921 | − | 0.151283i | ||||
\(751\) | −146.504 | + | 1300.26i | −0.195079 | + | 1.73137i | 0.390365 | + | 0.920660i | \(0.372349\pi\) |
−0.585444 | + | 0.810713i | \(0.699080\pi\) | |||||||
\(752\) | 793.512 | − | 510.306i | 1.05520 | − | 0.678598i | ||||
\(753\) | 60.5669 | + | 328.831i | 0.0804342 | + | 0.436695i | ||||
\(754\) | −554.616 | − | 328.374i | −0.735566 | − | 0.435509i | ||||
\(755\) | 1657.71 | 2.19564 | ||||||||
\(756\) | 1350.67 | + | 164.922i | 1.78660 | + | 0.218151i | ||||
\(757\) | −55.8937 | + | 496.071i | −0.0738359 | + | 0.655311i | 0.901222 | + | 0.433359i | \(0.142672\pi\) |
−0.975057 | + | 0.221953i | \(0.928757\pi\) | |||||||
\(758\) | −76.6955 | + | 1432.93i | −0.101181 | + | 1.89041i | ||||
\(759\) | 52.2741 | + | 71.5530i | 0.0688723 | + | 0.0942727i | ||||
\(760\) | 1430.62 | + | 231.486i | 1.88239 | + | 0.304586i | ||||
\(761\) | −729.784 | + | 581.984i | −0.958981 | + | 0.764762i | −0.971958 | − | 0.235154i | \(-0.924441\pi\) |
0.0129772 | + | 0.999916i | \(0.495869\pi\) | |||||||
\(762\) | 49.5849 | − | 235.029i | 0.0650720 | − | 0.308436i | ||||
\(763\) | 315.560 | − | 1382.56i | 0.413578 | − | 1.81200i | ||||
\(764\) | 153.426 | + | 34.1713i | 0.200819 | + | 0.0447269i | ||||
\(765\) | 253.877 | − | 1273.96i | 0.331865 | − | 1.66531i | ||||
\(766\) | −156.543 | + | 936.237i | −0.204365 | + | 1.22224i | ||||
\(767\) | −734.651 | + | 167.679i | −0.957824 | + | 0.218617i | ||||
\(768\) | 554.466 | − | 531.405i | 0.721961 | − | 0.691933i | ||||
\(769\) | 935.004 | − | 327.172i | 1.21587 | − | 0.425451i | 0.355285 | − | 0.934758i | \(-0.384384\pi\) |
0.860585 | + | 0.509307i | \(0.170098\pi\) | |||||||
\(770\) | −1389.81 | − | 1235.46i | −1.80495 | − | 1.60449i | ||||
\(771\) | −759.759 | + | 1102.83i | −0.985420 | + | 1.43038i | ||||
\(772\) | −1087.80 | + | 876.878i | −1.40906 | + | 1.13585i | ||||
\(773\) | 25.2027 | + | 223.681i | 0.0326038 | + | 0.289367i | 0.999425 | + | 0.0339120i | \(0.0107966\pi\) |
−0.966821 | + | 0.255455i | \(0.917775\pi\) | |||||||
\(774\) | −27.9131 | + | 26.5099i | −0.0360634 | + | 0.0342505i | ||||
\(775\) | 700.653 | + | 1115.08i | 0.904068 | + | 1.43882i | ||||
\(776\) | 42.3946 | + | 29.5810i | 0.0546322 | + | 0.0381199i | ||||
\(777\) | 163.358 | − | 598.039i | 0.210242 | − | 0.769676i | ||||
\(778\) | 289.197 | + | 158.843i | 0.371719 | + | 0.204169i | ||||
\(779\) | 1003.00 | − | 1257.72i | 1.28755 | − | 1.61454i | ||||
\(780\) | −1061.41 | − | 283.946i | −1.36078 | − | 0.364034i | ||||
\(781\) | 33.7331 | − | 96.4038i | 0.0431922 | − | 0.123436i | ||||
\(782\) | 94.0559 | − | 67.1084i | 0.120276 | − | 0.0858164i | ||||
\(783\) | 578.990 | − | 527.124i | 0.739451 | − | 0.673210i | ||||
\(784\) | −1384.15 | − | 1080.23i | −1.76550 | − | 1.37784i | ||||
\(785\) | −649.996 | + | 1857.58i | −0.828020 | + | 2.36635i | ||||
\(786\) | 513.473 | + | 622.553i | 0.653274 | + | 0.792052i | ||||
\(787\) | −503.140 | + | 630.918i | −0.639314 | + | 0.801674i | −0.990917 | − | 0.134475i | \(-0.957065\pi\) |
0.351603 | + | 0.936149i | \(0.385637\pi\) | |||||||
\(788\) | −26.1445 | − | 221.568i | −0.0331783 | − | 0.281178i | ||||
\(789\) | 128.103 | − | 468.972i | 0.162361 | − | 0.594388i | ||||
\(790\) | 356.434 | + | 101.673i | 0.451182 | + | 0.128700i | ||||
\(791\) | 688.967 | + | 1096.48i | 0.871008 | + | 1.38620i | ||||
\(792\) | 267.822 | + | 586.639i | 0.338159 | + | 0.740706i | ||||
\(793\) | 75.1219 | + | 666.725i | 0.0947312 | + | 0.840763i | ||||
\(794\) | −69.9928 | − | 1190.46i | −0.0881522 | − | 1.49932i | ||||
\(795\) | 13.6757 | − | 19.8510i | 0.0172022 | − | 0.0249698i | ||||
\(796\) | −579.341 | − | 62.1950i | −0.727815 | − | 0.0781345i | ||||
\(797\) | 13.2134 | − | 4.62356i | 0.0165789 | − | 0.00580120i | −0.321977 | − | 0.946748i | \(-0.604347\pi\) |
0.338556 | + | 0.940946i | \(0.390062\pi\) | |||||||
\(798\) | −696.370 | + | 1509.13i | −0.872644 | + | 1.89114i | ||||
\(799\) | 1007.04 | − | 229.850i | 1.26037 | − | 0.287672i | ||||
\(800\) | 927.828 | + | 1011.19i | 1.15978 | + | 1.26398i | ||||
\(801\) | 154.129 | − | 773.422i | 0.192420 | − | 0.965570i | ||||
\(802\) | 506.830 | + | 564.153i | 0.631958 | + | 0.703433i | ||||
\(803\) | 6.80623 | − | 29.8201i | 0.00847601 | − | 0.0371358i | ||||
\(804\) | 575.728 | − | 251.463i | 0.716080 | − | 0.312765i | ||||
\(805\) | −267.654 | + | 213.447i | −0.332489 | + | 0.265151i | ||||
\(806\) | −116.089 | − | 672.548i | −0.144031 | − | 0.834427i | ||||
\(807\) | 63.3992 | + | 86.7811i | 0.0785616 | + | 0.107535i | ||||
\(808\) | 72.8770 | − | 179.939i | 0.0901943 | − | 0.222697i | ||||
\(809\) | −53.3424 | + | 473.427i | −0.0659363 | + | 0.585201i | 0.916689 | + | 0.399601i | \(0.130851\pi\) |
−0.982625 | + | 0.185600i | \(0.940577\pi\) | |||||||
\(810\) | 707.971 | − | 1131.54i | 0.874038 | − | 1.39696i | ||||
\(811\) | −1355.13 | −1.67094 | −0.835471 | − | 0.549535i | \(-0.814805\pi\) | ||||
−0.835471 | + | 0.549535i | \(0.814805\pi\) | |||||||
\(812\) | −1433.12 | + | 286.563i | −1.76493 | + | 0.352911i | ||||
\(813\) | −57.6628 | − | 313.064i | −0.0709260 | − | 0.385073i | ||||
\(814\) | 282.118 | − | 82.0800i | 0.346582 | − | 0.100835i | ||||
\(815\) | −213.813 | + | 1897.64i | −0.262347 | + | 2.32840i | ||||
\(816\) | 768.782 | − | 340.605i | 0.942134 | − | 0.417408i | ||||
\(817\) | −20.4018 | − | 42.3647i | −0.0249715 | − | 0.0518539i | ||||
\(818\) | 160.246 | + | 928.362i | 0.195899 | + | 1.13492i | ||||
\(819\) | 640.605 | − | 1085.10i | 0.782180 | − | 1.32491i | ||||
\(820\) | 2348.08 | − | 548.930i | 2.86351 | − | 0.669427i | ||||
\(821\) | −228.992 | + | 1003.28i | −0.278919 | + | 1.22202i | 0.620245 | + | 0.784409i | \(0.287033\pi\) |
−0.899163 | + | 0.437614i | \(0.855824\pi\) | |||||||
\(822\) | 190.608 | − | 247.264i | 0.231884 | − | 0.300808i | ||||
\(823\) | −1301.21 | − | 817.602i | −1.58105 | − | 0.993441i | −0.981122 | − | 0.193388i | \(-0.938052\pi\) |
−0.599930 | − | 0.800053i | \(-0.704805\pi\) | |||||||
\(824\) | 180.334 | − | 332.452i | 0.218852 | − | 0.403462i | ||||
\(825\) | −1058.43 | + | 455.687i | −1.28294 | + | 0.552348i | ||||
\(826\) | −985.091 | + | 1396.11i | −1.19260 | + | 1.69021i | ||||
\(827\) | −1386.08 | + | 485.010i | −1.67603 | + | 0.586470i | −0.989996 | − | 0.141096i | \(-0.954937\pi\) |
−0.686038 | + | 0.727565i | \(0.740652\pi\) | |||||||
\(828\) | 114.813 | − | 30.2171i | 0.138663 | − | 0.0364940i | ||||
\(829\) | 713.493 | + | 713.493i | 0.860667 | + | 0.860667i | 0.991416 | − | 0.130749i | \(-0.0417381\pi\) |
−0.130749 | + | 0.991416i | \(0.541738\pi\) | |||||||
\(830\) | −125.708 | − | 2138.09i | −0.151456 | − | 2.57601i | ||||
\(831\) | −565.585 | + | 171.459i | −0.680608 | + | 0.206328i | ||||
\(832\) | −245.451 | − | 667.517i | −0.295014 | − | 0.802304i | ||||
\(833\) | −1022.75 | − | 1627.69i | −1.22779 | − | 1.95401i | ||||
\(834\) | 704.380 | + | 67.6334i | 0.844580 | + | 0.0810952i | ||||
\(835\) | 715.133 | − | 1484.99i | 0.856447 | − | 1.77843i | ||||
\(836\) | −782.277 | + | 92.3066i | −0.935739 | + | 0.110415i | ||||
\(837\) | 822.458 | + | 104.814i | 0.982626 | + | 0.125226i | ||||
\(838\) | 1167.59 | − | 649.314i | 1.39331 | − | 0.774838i | ||||
\(839\) | −76.3761 | + | 218.270i | −0.0910323 | + | 0.260155i | −0.980393 | − | 0.197050i | \(-0.936864\pi\) |
0.889361 | + | 0.457205i | \(0.151150\pi\) | |||||||
\(840\) | −2220.64 | + | 1129.49i | −2.64362 | + | 1.34463i | ||||
\(841\) | −413.048 | + | 732.579i | −0.491140 | + | 0.871081i | ||||
\(842\) | 526.177 | − | 375.425i | 0.624914 | − | 0.445873i | ||||
\(843\) | −186.269 | + | 1196.39i | −0.220960 | + | 1.41921i | ||||
\(844\) | 609.737 | − | 1283.34i | 0.722437 | − | 1.52054i | ||||
\(845\) | 233.778 | − | 293.148i | 0.276660 | − | 0.346921i | ||||
\(846\) | 1051.28 | + | 145.980i | 1.24265 | + | 0.172554i | ||||
\(847\) | −462.879 | − | 222.911i | −0.546492 | − | 0.263177i | ||||
\(848\) | 15.6029 | − | 0.163975i | 0.0183996 | − | 0.000193367i | ||||
\(849\) | 409.439 | − | 376.223i | 0.482260 | − | 0.443136i | ||||
\(850\) | 578.643 | + | 1386.65i | 0.680757 | + | 1.63136i | ||||
\(851\) | −6.05631 | − | 53.7512i | −0.00711669 | − | 0.0631624i | ||||
\(852\) | −103.756 | − | 89.2164i | −0.121779 | − | 0.104714i | ||||
\(853\) | 15.4221 | − | 15.4221i | 0.0180798 | − | 0.0180798i | −0.698009 | − | 0.716089i | \(-0.745930\pi\) |
0.716089 | + | 0.698009i | \(0.245930\pi\) | |||||||
\(854\) | 1137.06 | + | 1010.77i | 1.33145 | + | 1.18358i | ||||
\(855\) | 1051.43 | + | 1246.04i | 1.22974 | + | 1.45736i | ||||
\(856\) | −239.175 | − | 331.518i | −0.279410 | − | 0.387287i | ||||
\(857\) | 1052.39 | − | 240.202i | 1.22800 | − | 0.280283i | 0.441152 | − | 0.897432i | \(-0.354570\pi\) |
0.786846 | + | 0.617150i | \(0.211713\pi\) | |||||||
\(858\) | 597.119 | − | 9.83828i | 0.695943 | − | 0.0114665i | ||||
\(859\) | −45.2492 | + | 72.0136i | −0.0526766 | + | 0.0838343i | −0.872024 | − | 0.489463i | \(-0.837193\pi\) |
0.819348 | + | 0.573297i | \(0.194336\pi\) | |||||||
\(860\) | 15.3229 | − | 68.7981i | 0.0178173 | − | 0.0799978i | ||||
\(861\) | −116.815 | + | 2763.05i | −0.135673 | + | 3.20912i | ||||
\(862\) | 169.426 | − | 412.089i | 0.196550 | − | 0.478061i | ||||
\(863\) | 705.619 | − | 562.713i | 0.817635 | − | 0.652042i | −0.122642 | − | 0.992451i | \(-0.539137\pi\) |
0.940278 | + | 0.340409i | \(0.110565\pi\) | |||||||
\(864\) | 862.709 | − | 47.2189i | 0.998505 | − | 0.0546515i | ||||
\(865\) | −403.516 | + | 194.323i | −0.466492 | + | 0.224651i | ||||
\(866\) | 69.8292 | − | 1304.64i | 0.0806341 | − | 1.50651i | ||||
\(867\) | 53.4902 | − | 3.74761i | 0.0616957 | − | 0.00432251i | ||||
\(868\) | −1214.98 | − | 958.515i | −1.39975 | − | 1.10428i | ||||
\(869\) | −201.462 | −0.231832 | ||||||||
\(870\) | −341.092 | + | 1392.47i | −0.392059 | + | 1.60054i | ||||
\(871\) | − | 581.796i | − | 0.667963i | ||||||
\(872\) | 43.4016 | − | 899.410i | 0.0497724 | − | 1.03143i | ||||
\(873\) | 14.5061 | + | 56.3183i | 0.0166164 | + | 0.0645112i | ||||
\(874\) | −7.75071 | + | 144.809i | −0.00886808 | + | 0.165685i | ||||
\(875\) | −805.599 | − | 1672.84i | −0.920684 | − | 1.91182i | ||||
\(876\) | −33.8683 | − | 23.0711i | −0.0386624 | − | 0.0263368i | ||||
\(877\) | −1069.26 | − | 1340.81i | −1.21923 | − | 1.52886i | −0.773638 | − | 0.633628i | \(-0.781565\pi\) |
−0.445591 | − | 0.895237i | \(-0.647006\pi\) | |||||||
\(878\) | −107.059 | + | 260.395i | −0.121935 | + | 0.296578i | ||||
\(879\) | −30.9669 | + | 732.466i | −0.0352296 | + | 0.833295i | ||||
\(880\) | −1006.32 | − | 617.657i | −1.14354 | − | 0.701883i | ||||
\(881\) | 1239.93 | + | 779.100i | 1.40741 | + | 0.884336i | 0.999587 | − | 0.0287237i | \(-0.00914431\pi\) |
0.407826 | + | 0.913060i | \(0.366287\pi\) | |||||||
\(882\) | −389.755 | − | 1936.42i | −0.441899 | − | 2.19549i | ||||
\(883\) | 205.202 | + | 899.047i | 0.232392 | + | 1.01817i | 0.947649 | + | 0.319313i | \(0.103452\pi\) |
−0.715258 | + | 0.698861i | \(0.753691\pi\) | |||||||
\(884\) | −4.09153 | − | 778.671i | −0.00462843 | − | 0.880850i | ||||
\(885\) | 830.997 | + | 1455.60i | 0.938980 | + | 1.64474i | ||||
\(886\) | 813.775 | + | 723.398i | 0.918482 | + | 0.816476i | ||||
\(887\) | 451.385 | + | 451.385i | 0.508890 | + | 0.508890i | 0.914186 | − | 0.405296i | \(-0.132831\pi\) |
−0.405296 | + | 0.914186i | \(0.632831\pi\) | |||||||
\(888\) | 35.5649 | − | 392.037i | 0.0400506 | − | 0.441483i | ||||
\(889\) | −501.216 | + | 56.4734i | −0.563797 | + | 0.0635247i | ||||
\(890\) | 556.077 | + | 1332.58i | 0.624806 | + | 1.49728i | ||||
\(891\) | −201.337 | + | 696.996i | −0.225968 | + | 0.782263i | ||||
\(892\) | −1317.97 | + | 468.964i | −1.47754 | + | 0.525745i | ||||
\(893\) | −562.498 | + | 1168.04i | −0.629897 | + | 1.30800i | ||||
\(894\) | −1313.80 | − | 435.559i | −1.46957 | − | 0.487203i | ||||
\(895\) | −612.364 | − | 488.344i | −0.684206 | − | 0.545636i | ||||
\(896\) | −1425.56 | − | 753.996i | −1.59103 | − | 0.841513i | ||||
\(897\) | 16.9137 | − | 108.636i | 0.0188559 | − | 0.121110i | ||||
\(898\) | 596.293 | − | 425.452i | 0.664023 | − | 0.473777i | ||||
\(899\) | −874.144 | + | 170.020i | −0.972352 | + | 0.189121i | ||||
\(900\) | 50.8616 | + | 1543.06i | 0.0565129 | + | 1.71451i | ||||
\(901\) | 16.1253 | + | 5.64248i | 0.0178971 | + | 0.00626246i | ||||
\(902\) | −1145.46 | + | 637.010i | −1.26992 | + | 0.706220i | ||||
\(903\) | 71.2832 | + | 38.1179i | 0.0789405 | + | 0.0422126i | ||||
\(904\) | 552.729 | + | 608.779i | 0.611426 | + | 0.673428i | ||||
\(905\) | −83.7958 | − | 40.3539i | −0.0925920 | − | 0.0445900i | ||||
\(906\) | −115.380 | + | 1201.64i | −0.127351 | + | 1.32632i | ||||
\(907\) | −558.644 | + | 351.019i | −0.615925 | + | 0.387011i | −0.803557 | − | 0.595228i | \(-0.797062\pi\) |
0.187632 | + | 0.982239i | \(0.439919\pi\) | |||||||
\(908\) | 538.181 | − | 866.585i | 0.592710 | − | 0.954388i | ||||
\(909\) | 194.076 | − | 100.175i | 0.213504 | − | 0.110203i | ||||
\(910\) | 135.415 | + | 2303.19i | 0.148808 | + | 2.53098i | ||||
\(911\) | −788.911 | + | 788.911i | −0.865983 | + | 0.865983i | −0.992025 | − | 0.126042i | \(-0.959773\pi\) |
0.126042 | + | 0.992025i | \(0.459773\pi\) | |||||||
\(912\) | −267.374 | + | 1020.92i | −0.293173 | + | 1.11943i | ||||
\(913\) | 384.489 | + | 1098.81i | 0.421128 | + | 1.20351i | ||||
\(914\) | −642.138 | + | 910.066i | −0.702558 | + | 0.995696i | ||||
\(915\) | 1370.73 | − | 590.144i | 1.49807 | − | 0.644966i | ||||
\(916\) | −91.4763 | + | 44.6463i | −0.0998650 | + | 0.0487405i | ||||
\(917\) | 901.553 | − | 1434.81i | 0.983154 | − | 1.56468i | ||||
\(918\) | 905.802 | + | 272.701i | 0.986713 | + | 0.297060i | ||||
\(919\) | −404.957 | − | 92.4288i | −0.440650 | − | 0.100575i | −0.00356075 | − | 0.999994i | \(-0.501133\pi\) |
−0.437089 | + | 0.899418i | \(0.643991\pi\) | |||||||
\(920\) | −143.566 | + | 163.222i | −0.156050 | + | 0.177415i | ||||
\(921\) | 362.490 | + | 315.022i | 0.393583 | + | 0.342043i | ||||
\(922\) | 9.34753 | + | 54.1537i | 0.0101383 | + | 0.0587350i | ||||
\(923\) | −114.171 | + | 54.9820i | −0.123696 | + | 0.0595689i | ||||
\(924\) | 992.295 | − | 921.458i | 1.07391 | − | 0.997248i | ||||
\(925\) | 698.994 | + | 78.7577i | 0.755669 | + | 0.0851435i | ||||
\(926\) | 165.556 | − | 48.1672i | 0.178786 | − | 0.0520164i | ||||
\(927\) | 397.567 | − | 151.598i | 0.428875 | − | 0.163536i | ||||
\(928\) | −864.008 | + | 338.636i | −0.931043 | + | 0.364910i | ||||
\(929\) | 424.259i | 0.456684i | 0.973581 | + | 0.228342i | \(0.0733304\pi\) | ||||
−0.973581 | + | 0.228342i | \(0.926670\pi\) | |||||||
\(930\) | −1356.69 | + | 681.106i | −1.45881 | + | 0.732372i | ||||
\(931\) | 2397.54 | + | 270.138i | 2.57523 | + | 0.290159i | ||||
\(932\) | 464.517 | + | 730.723i | 0.498409 | + | 0.784037i | ||||
\(933\) | −485.711 | − | 664.843i | −0.520590 | − | 0.712586i | ||||
\(934\) | −55.2372 | − | 320.009i | −0.0591404 | − | 0.342622i | ||||
\(935\) | −806.025 | − | 1010.72i | −0.862058 | − | 1.08099i | ||||
\(936\) | 279.704 | − | 749.634i | 0.298829 | − | 0.800891i | ||||
\(937\) | 1499.58 | + | 342.270i | 1.60041 | + | 0.365283i | 0.927317 | − | 0.374277i | \(-0.122109\pi\) |
0.673091 | + | 0.739560i | \(0.264966\pi\) | |||||||
\(938\) | −881.642 | − | 981.357i | −0.939917 | − | 1.04622i | ||||
\(939\) | 5.37971 | − | 13.5141i | 0.00572919 | − | 0.0143920i | ||||
\(940\) | −1746.41 | + | 852.361i | −1.85789 | + | 0.906767i | ||||
\(941\) | −35.1036 | − | 153.799i | −0.0373046 | − | 0.163442i | 0.952845 | − | 0.303459i | \(-0.0981415\pi\) |
−0.990149 | + | 0.140017i | \(0.955284\pi\) | |||||||
\(942\) | −1301.29 | − | 600.462i | −1.38141 | − | 0.637434i | ||||
\(943\) | 79.6947 | + | 227.754i | 0.0845119 | + | 0.241521i | ||||
\(944\) | −460.442 | + | 982.396i | −0.487757 | + | 1.04067i | ||||
\(945\) | −2723.16 | − | 663.393i | −2.88165 | − | 0.702003i | ||||
\(946\) | 2.24857 | + | 38.2444i | 0.00237692 | + | 0.0404275i | ||||
\(947\) | −1303.17 | + | 146.832i | −1.37610 | + | 0.155050i | −0.768836 | − | 0.639446i | \(-0.779164\pi\) |
−0.607269 | + | 0.794496i | \(0.707735\pi\) | |||||||
\(948\) | −98.5098 | + | 251.296i | −0.103913 | + | 0.265080i | ||||
\(949\) | −32.1329 | + | 20.1904i | −0.0338597 | + | 0.0212755i | ||||
\(950\) | −1813.49 | − | 517.301i | −1.90894 | − | 0.544528i | ||||
\(951\) | −1.50853 | + | 5.52257i | −0.00158625 | + | 0.00580712i | ||||
\(952\) | −1186.88 | − | 1307.24i | −1.24673 | − | 1.37315i | ||||
\(953\) | −1270.31 | − | 1013.04i | −1.33296 | − | 1.06300i | −0.992436 | − | 0.122761i | \(-0.960825\pi\) |
−0.340521 | − | 0.940237i | \(-0.610603\pi\) | |||||||
\(954\) | 13.4378 | + | 11.2950i | 0.0140857 | + | 0.0118396i | ||||
\(955\) | −305.605 | − | 106.936i | −0.320006 | − | 0.111975i | ||||
\(956\) | 107.307 | + | 36.9166i | 0.112246 | + | 0.0386157i | ||||
\(957\) | −29.3297 | − | 778.681i | −0.0306476 | − | 0.813669i | ||||
\(958\) | −499.560 | + | 356.434i | −0.521462 | + | 0.372060i | ||||
\(959\) | −618.791 | − | 216.524i | −0.645246 | − | 0.225781i | ||||
\(960\) | −1262.51 | + | 953.223i | −1.31511 | + | 0.992941i | ||||
\(961\) | 14.0987 | + | 11.2433i | 0.0146709 | + | 0.0116996i | ||||
\(962\) | −319.517 | − | 175.496i | −0.332138 | − | 0.182429i | ||||
\(963\) | 38.8164 | − | 458.247i | 0.0403078 | − | 0.475853i | ||||
\(964\) | 328.944 | − | 117.046i | 0.341228 | − | 0.121417i | ||||
\(965\) | 2436.89 | − | 1531.20i | 2.52528 | − | 1.58674i | ||||
\(966\) | −136.095 | − | 208.874i | −0.140885 | − | 0.216226i | ||||
\(967\) | 831.807 | − | 93.7221i | 0.860193 | − | 0.0969205i | 0.329163 | − | 0.944273i | \(-0.393234\pi\) |
0.531030 | + | 0.847353i | \(0.321805\pi\) | |||||||
\(968\) | −314.171 | − | 87.8355i | −0.324557 | − | 0.0907392i | ||||
\(969\) | −655.520 | + | 951.519i | −0.676492 | + | 0.981960i | ||||
\(970\) | −79.5837 | − | 70.7451i | −0.0820450 | − | 0.0729331i | ||||
\(971\) | 168.407 | + | 481.279i | 0.173436 | + | 0.495653i | 0.997486 | − | 0.0708652i | \(-0.0225760\pi\) |
−0.824050 | + | 0.566518i | \(0.808290\pi\) | |||||||
\(972\) | 770.957 | + | 591.953i | 0.793166 | + | 0.609006i | ||||
\(973\) | −330.642 | − | 1448.64i | −0.339817 | − | 1.48883i | ||||
\(974\) | −17.3944 | + | 104.031i | −0.0178588 | + | 0.106808i | ||||
\(975\) | 1328.36 | + | 528.796i | 1.36242 | + | 0.542355i | ||||
\(976\) | 823.308 | + | 505.329i | 0.843553 | + | 0.517755i | ||||
\(977\) | 1171.08 | + | 267.292i | 1.19865 | + | 0.273585i | 0.774835 | − | 0.632163i | \(-0.217833\pi\) |
0.423817 | + | 0.905748i | \(0.360690\pi\) | |||||||
\(978\) | −1360.69 | − | 287.069i | −1.39130 | − | 0.293527i | ||||
\(979\) | −489.337 | − | 613.610i | −0.499834 | − | 0.626772i | ||||
\(980\) | 2570.73 | + | 2543.86i | 2.62319 | + | 2.59577i | ||||
\(981\) | 696.198 | − | 735.870i | 0.709682 | − | 0.750122i | ||||
\(982\) | −40.4893 | + | 756.474i | −0.0412315 | + | 0.770341i | ||||
\(983\) | 679.979 | + | 76.6152i | 0.691738 | + | 0.0779402i | 0.450833 | − | 0.892608i | \(-0.351127\pi\) |
0.240906 | + | 0.970549i | \(0.422556\pi\) | |||||||
\(984\) | 234.479 | + | 1740.29i | 0.238291 | + | 1.76859i | ||||
\(985\) | 459.559i | 0.466557i | ||||||||
\(986\) | −1015.68 | + | 26.8484i | −1.03010 | + | 0.0272296i | ||||
\(987\) | −403.711 | − | 2191.84i | −0.409028 | − | 2.22070i | ||||
\(988\) | 767.288 | + | 605.323i | 0.776607 | + | 0.612676i | ||||
\(989\) | 7.00860 | + | 0.789680i | 0.00708655 | + | 0.000798463i | ||||
\(990\) | −406.263 | − | 1264.70i | −0.410367 | − | 1.27747i | ||||
\(991\) | −324.113 | + | 156.085i | −0.327056 | + | 0.157502i | −0.590205 | − | 0.807253i | \(-0.700953\pi\) |
0.263149 | + | 0.964755i | \(0.415239\pi\) | |||||||
\(992\) | −866.207 | − | 463.987i | −0.873192 | − | 0.467729i | ||||
\(993\) | 91.5367 | − | 105.329i | 0.0921820 | − | 0.106072i | ||||
\(994\) | −109.262 | + | 265.755i | −0.109922 | + | 0.267359i | ||||
\(995\) | 1170.11 | + | 267.069i | 1.17599 | + | 0.268411i | ||||
\(996\) | 1558.62 | + | 57.6918i | 1.56487 | + | 0.0579235i | ||||
\(997\) | 889.614 | − | 1415.81i | 0.892291 | − | 1.42007i | −0.0151460 | − | 0.999885i | \(-0.504821\pi\) |
0.907437 | − | 0.420188i | \(-0.138036\pi\) | |||||||
\(998\) | 1674.26 | + | 279.945i | 1.67762 | + | 0.280506i | ||||
\(999\) | 317.670 | − | 308.553i | 0.317988 | − | 0.308862i |
(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 | 348.3.v.a.95.11 | yes | 1392 | |
3.2 | odd | 2 | inner | 348.3.v.a.95.106 | yes | 1392 | |
4.3 | odd | 2 | inner | 348.3.v.a.95.83 | yes | 1392 | |
12.11 | even | 2 | inner | 348.3.v.a.95.34 | yes | 1392 | |
29.11 | odd | 28 | inner | 348.3.v.a.11.34 | yes | 1392 | |
87.11 | even | 28 | inner | 348.3.v.a.11.83 | yes | 1392 | |
116.11 | even | 28 | inner | 348.3.v.a.11.106 | yes | 1392 | |
348.11 | odd | 28 | inner | 348.3.v.a.11.11 | ✓ | 1392 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
348.3.v.a.11.11 | ✓ | 1392 | 348.11 | odd | 28 | inner | |
348.3.v.a.11.34 | yes | 1392 | 29.11 | odd | 28 | inner | |
348.3.v.a.11.83 | yes | 1392 | 87.11 | even | 28 | inner | |
348.3.v.a.11.106 | yes | 1392 | 116.11 | even | 28 | inner | |
348.3.v.a.95.11 | yes | 1392 | 1.1 | even | 1 | trivial | |
348.3.v.a.95.34 | yes | 1392 | 12.11 | even | 2 | inner | |
348.3.v.a.95.83 | yes | 1392 | 4.3 | odd | 2 | inner | |
348.3.v.a.95.106 | yes | 1392 | 3.2 | odd | 2 | inner |