Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 123.14 | ||
Character | \(\chi\) | \(=\) | 280.123 |
Dual form | 280.2.br.a.107.14 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.786756 | + | 1.17517i | −0.556320 | + | 0.830968i | ||||
\(3\) | −2.51296 | + | 0.673346i | −1.45086 | + | 0.388757i | −0.896323 | − | 0.443402i | \(-0.853771\pi\) |
−0.554537 | + | 0.832159i | \(0.687105\pi\) | |||||||
\(4\) | −0.762030 | − | 1.84914i | −0.381015 | − | 0.924569i | ||||
\(5\) | −2.09775 | + | 0.774229i | −0.938144 | + | 0.346246i | ||||
\(6\) | 1.18579 | − | 3.48291i | 0.484099 | − | 1.42189i | ||||
\(7\) | 0.419863 | − | 2.61222i | 0.158693 | − | 0.987328i | ||||
\(8\) | 2.77258 | + | 0.559308i | 0.980253 | + | 0.197745i | ||||
\(9\) | 3.26351 | − | 1.88419i | 1.08784 | − | 0.628063i | ||||
\(10\) | 0.740572 | − | 3.07434i | 0.234189 | − | 0.972191i | ||||
\(11\) | 0.673124 | − | 1.16589i | 0.202955 | − | 0.351528i | −0.746525 | − | 0.665358i | \(-0.768279\pi\) |
0.949479 | + | 0.313830i | \(0.101612\pi\) | |||||||
\(12\) | 3.16006 | + | 4.13370i | 0.912232 | + | 1.19330i | ||||
\(13\) | −3.02874 | + | 3.02874i | −0.840020 | + | 0.840020i | −0.988861 | − | 0.148841i | \(-0.952446\pi\) |
0.148841 | + | 0.988861i | \(0.452446\pi\) | |||||||
\(14\) | 2.73947 | + | 2.54859i | 0.732153 | + | 0.681140i | ||||
\(15\) | 4.75025 | − | 3.35812i | 1.22651 | − | 0.867064i | ||||
\(16\) | −2.83862 | + | 2.81820i | −0.709655 | + | 0.704549i | ||||
\(17\) | 1.09352 | + | 4.08108i | 0.265218 | + | 0.989806i | 0.962117 | + | 0.272637i | \(0.0878958\pi\) |
−0.696899 | + | 0.717169i | \(0.745438\pi\) | |||||||
\(18\) | −0.353352 | + | 5.31757i | −0.0832859 | + | 1.25336i | ||||
\(19\) | 6.52363 | − | 3.76642i | 1.49662 | − | 0.864075i | 0.496630 | − | 0.867962i | \(-0.334571\pi\) |
0.999992 | + | 0.00388708i | \(0.00123730\pi\) | |||||||
\(20\) | 3.03021 | + | 3.28905i | 0.677575 | + | 0.735454i | ||||
\(21\) | 0.703832 | + | 6.84714i | 0.153589 | + | 1.49417i | ||||
\(22\) | 0.840524 | + | 1.70830i | 0.179200 | + | 0.364211i | ||||
\(23\) | 2.25799 | + | 0.605027i | 0.470824 | + | 0.126157i | 0.486427 | − | 0.873721i | \(-0.338300\pi\) |
−0.0156029 | + | 0.999878i | \(0.504967\pi\) | |||||||
\(24\) | −7.34399 | + | 0.461383i | −1.49909 | + | 0.0941795i | ||||
\(25\) | 3.80114 | − | 3.24828i | 0.760228 | − | 0.649657i | ||||
\(26\) | −1.17639 | − | 5.94214i | −0.230709 | − | 1.16535i | ||||
\(27\) | −1.41352 | + | 1.41352i | −0.272033 | + | 0.272033i | ||||
\(28\) | −5.15031 | + | 1.21421i | −0.973317 | + | 0.229464i | ||||
\(29\) | 3.41296 | 0.633770 | 0.316885 | − | 0.948464i | \(-0.397363\pi\) | ||||
0.316885 | + | 0.948464i | \(0.397363\pi\) | |||||||
\(30\) | 0.209064 | + | 8.22436i | 0.0381697 | + | 1.50156i | ||||
\(31\) | −5.73934 | − | 3.31361i | −1.03082 | − | 0.595142i | −0.113598 | − | 0.993527i | \(-0.536238\pi\) |
−0.917218 | + | 0.398385i | \(0.869571\pi\) | |||||||
\(32\) | −1.07855 | − | 5.55308i | −0.190662 | − | 0.981656i | ||||
\(33\) | −0.906492 | + | 3.38307i | −0.157800 | + | 0.588917i | ||||
\(34\) | −5.65627 | − | 1.92574i | −0.970043 | − | 0.330262i | ||||
\(35\) | 1.14169 | + | 5.80487i | 0.192981 | + | 0.981202i | ||||
\(36\) | −5.97102 | − | 4.59887i | −0.995170 | − | 0.766479i | ||||
\(37\) | 2.39958 | − | 8.95535i | 0.394488 | − | 1.47225i | −0.428162 | − | 0.903702i | \(-0.640839\pi\) |
0.822650 | − | 0.568548i | \(-0.192495\pi\) | |||||||
\(38\) | −0.706336 | + | 10.6296i | −0.114583 | + | 1.72435i | ||||
\(39\) | 5.57171 | − | 9.65049i | 0.892188 | − | 1.54531i | ||||
\(40\) | −6.24921 | + | 0.973319i | −0.988087 | + | 0.153895i | ||||
\(41\) | 9.58202 | 1.49646 | 0.748230 | − | 0.663439i | \(-0.230904\pi\) | ||||
0.748230 | + | 0.663439i | \(0.230904\pi\) | |||||||
\(42\) | −8.60027 | − | 4.55991i | −1.32705 | − | 0.703609i | ||||
\(43\) | 3.73207 | + | 3.73207i | 0.569135 | + | 0.569135i | 0.931886 | − | 0.362751i | \(-0.118162\pi\) |
−0.362751 | + | 0.931886i | \(0.618162\pi\) | |||||||
\(44\) | −2.66882 | − | 0.356259i | −0.402340 | − | 0.0537081i | ||||
\(45\) | −5.38725 | + | 6.47927i | −0.803084 | + | 0.965873i | ||||
\(46\) | −2.48749 | + | 2.17751i | −0.366761 | + | 0.321056i | ||||
\(47\) | 0.998016 | − | 3.72465i | 0.145576 | − | 0.543296i | −0.854153 | − | 0.520021i | \(-0.825924\pi\) |
0.999729 | − | 0.0232746i | \(-0.00740921\pi\) | |||||||
\(48\) | 5.23572 | − | 8.99340i | 0.755712 | − | 1.29809i | ||||
\(49\) | −6.64743 | − | 2.19355i | −0.949633 | − | 0.313365i | ||||
\(50\) | 0.826705 | + | 7.02257i | 0.116914 | + | 0.993142i | ||||
\(51\) | −5.49595 | − | 9.51927i | −0.769588 | − | 1.33296i | ||||
\(52\) | 7.90854 | + | 3.29256i | 1.09672 | + | 0.456596i | ||||
\(53\) | 0.0240790 | + | 0.0898639i | 0.00330750 | + | 0.0123438i | 0.967560 | − | 0.252642i | \(-0.0812994\pi\) |
−0.964252 | + | 0.264986i | \(0.914633\pi\) | |||||||
\(54\) | −0.549027 | − | 2.77322i | −0.0747131 | − | 0.377388i | ||||
\(55\) | −0.509386 | + | 2.96689i | −0.0686856 | + | 0.400056i | ||||
\(56\) | 2.62514 | − | 7.00776i | 0.350799 | − | 0.936451i | ||||
\(57\) | −13.8575 | + | 13.8575i | −1.83547 | + | 1.83547i | ||||
\(58\) | −2.68516 | + | 4.01079i | −0.352579 | + | 0.526642i | ||||
\(59\) | 0.663996 | + | 0.383358i | 0.0864449 | + | 0.0499090i | 0.542599 | − | 0.839992i | \(-0.317440\pi\) |
−0.456154 | + | 0.889901i | \(0.650774\pi\) | |||||||
\(60\) | −9.82947 | − | 6.22488i | −1.26898 | − | 0.803628i | ||||
\(61\) | 1.18730 | − | 0.685485i | 0.152018 | − | 0.0877674i | −0.422062 | − | 0.906567i | \(-0.638693\pi\) |
0.574079 | + | 0.818800i | \(0.305360\pi\) | |||||||
\(62\) | 8.40950 | − | 4.13768i | 1.06801 | − | 0.525486i | ||||
\(63\) | −3.55170 | − | 9.31613i | −0.447472 | − | 1.17372i | ||||
\(64\) | 7.37435 | + | 3.10145i | 0.921794 | + | 0.387681i | ||||
\(65\) | 4.00860 | − | 8.69848i | 0.497206 | − | 1.07891i | ||||
\(66\) | −3.26248 | − | 3.72693i | −0.401584 | − | 0.458753i | ||||
\(67\) | −2.24546 | − | 8.38018i | −0.274327 | − | 1.02380i | −0.956291 | − | 0.292416i | \(-0.905541\pi\) |
0.681964 | − | 0.731386i | \(-0.261126\pi\) | |||||||
\(68\) | 6.71317 | − | 5.13197i | 0.814092 | − | 0.622343i | ||||
\(69\) | −6.08164 | −0.732144 | ||||||||
\(70\) | −7.71992 | − | 3.22534i | −0.922707 | − | 0.385502i | ||||
\(71\) | 1.47220i | 0.174718i | 0.996177 | + | 0.0873590i | \(0.0278427\pi\) | ||||
−0.996177 | + | 0.0873590i | \(0.972157\pi\) | |||||||
\(72\) | 10.1022 | − | 3.39875i | 1.19055 | − | 0.400546i | ||||
\(73\) | 0.914941 | − | 0.245158i | 0.107086 | − | 0.0286935i | −0.204878 | − | 0.978787i | \(-0.565680\pi\) |
0.311964 | + | 0.950094i | \(0.399013\pi\) | |||||||
\(74\) | 8.63614 | + | 9.86558i | 1.00393 | + | 1.14685i | ||||
\(75\) | −7.36490 | + | 10.7223i | −0.850425 | + | 1.23810i | ||||
\(76\) | −11.9358 | − | 9.19296i | −1.36913 | − | 1.05450i | ||||
\(77\) | −2.76293 | − | 2.24786i | −0.314866 | − | 0.256168i | ||||
\(78\) | 6.95735 | + | 14.1403i | 0.787765 | + | 1.60107i | ||||
\(79\) | 1.50999 | + | 2.61539i | 0.169888 | + | 0.294254i | 0.938380 | − | 0.345605i | \(-0.112326\pi\) |
−0.768493 | + | 0.639859i | \(0.778993\pi\) | |||||||
\(80\) | 3.77279 | − | 8.10963i | 0.421811 | − | 0.906684i | ||||
\(81\) | −3.05223 | + | 5.28661i | −0.339136 | + | 0.587402i | ||||
\(82\) | −7.53871 | + | 11.2605i | −0.832512 | + | 1.24351i | ||||
\(83\) | −7.12999 | − | 7.12999i | −0.782619 | − | 0.782619i | 0.197653 | − | 0.980272i | \(-0.436668\pi\) |
−0.980272 | + | 0.197653i | \(0.936668\pi\) | |||||||
\(84\) | 12.1250 | − | 6.51921i | 1.32294 | − | 0.711304i | ||||
\(85\) | −5.45362 | − | 7.71445i | −0.591529 | − | 0.836750i | ||||
\(86\) | −7.32203 | + | 1.44957i | −0.789555 | + | 0.156312i | ||||
\(87\) | −8.57663 | + | 2.29810i | −0.919512 | + | 0.246382i | ||||
\(88\) | 2.51838 | − | 2.85602i | 0.268460 | − | 0.304453i | ||||
\(89\) | −3.89233 | + | 2.24724i | −0.412586 | + | 0.238207i | −0.691900 | − | 0.721993i | \(-0.743226\pi\) |
0.279314 | + | 0.960200i | \(0.409893\pi\) | |||||||
\(90\) | −3.37577 | − | 11.4285i | −0.355837 | − | 1.20467i | ||||
\(91\) | 6.64008 | + | 9.18339i | 0.696070 | + | 0.962681i | ||||
\(92\) | −0.601879 | − | 4.63639i | −0.0627503 | − | 0.483377i | ||||
\(93\) | 16.6540 | + | 4.46242i | 1.72694 | + | 0.462731i | ||||
\(94\) | 3.59188 | + | 4.10322i | 0.370474 | + | 0.423215i | ||||
\(95\) | −10.7689 | + | 12.9518i | −1.10486 | + | 1.32883i | ||||
\(96\) | 6.44950 | + | 13.2285i | 0.658250 | + | 1.35012i | ||||
\(97\) | 10.9372 | − | 10.9372i | 1.11050 | − | 1.11050i | 0.117417 | − | 0.993083i | \(-0.462539\pi\) |
0.993083 | − | 0.117417i | \(-0.0374614\pi\) | |||||||
\(98\) | 7.80769 | − | 6.08604i | 0.788696 | − | 0.614783i | ||||
\(99\) | − | 5.07317i | − | 0.509873i | ||||||
\(100\) | −8.90311 | − | 4.55354i | −0.890311 | − | 0.455354i | ||||
\(101\) | 10.7115 | + | 6.18426i | 1.06583 | + | 0.615357i | 0.927039 | − | 0.374964i | \(-0.122345\pi\) |
0.138791 | + | 0.990322i | \(0.455678\pi\) | |||||||
\(102\) | 15.5107 | + | 1.03069i | 1.53579 | + | 0.102053i | ||||
\(103\) | 5.40781 | + | 1.44902i | 0.532848 | + | 0.142776i | 0.515203 | − | 0.857068i | \(-0.327717\pi\) |
0.0176448 | + | 0.999844i | \(0.494383\pi\) | |||||||
\(104\) | −10.0914 | + | 6.70340i | −0.989543 | + | 0.657323i | ||||
\(105\) | −6.77772 | − | 13.8187i | −0.661438 | − | 1.34856i | ||||
\(106\) | −0.124549 | − | 0.0424042i | −0.0120973 | − | 0.00411866i | ||||
\(107\) | 2.39905 | + | 0.642824i | 0.231925 | + | 0.0621441i | 0.372910 | − | 0.927868i | \(-0.378360\pi\) |
−0.140985 | + | 0.990012i | \(0.545027\pi\) | |||||||
\(108\) | 3.69095 | + | 1.53665i | 0.355161 | + | 0.147864i | ||||
\(109\) | 1.16090 | − | 2.01074i | 0.111194 | − | 0.192594i | −0.805058 | − | 0.593196i | \(-0.797866\pi\) |
0.916252 | + | 0.400602i | \(0.131199\pi\) | |||||||
\(110\) | −3.08583 | − | 2.93283i | −0.294222 | − | 0.279635i | ||||
\(111\) | 24.1202i | 2.28939i | ||||||||
\(112\) | 6.16993 | + | 8.59837i | 0.583004 | + | 0.812469i | ||||
\(113\) | −1.73042 | − | 1.73042i | −0.162784 | − | 0.162784i | 0.621015 | − | 0.783799i | \(-0.286721\pi\) |
−0.783799 | + | 0.621015i | \(0.786721\pi\) | |||||||
\(114\) | −5.38240 | − | 27.1874i | −0.504108 | − | 2.54633i | ||||
\(115\) | −5.20514 | + | 0.479005i | −0.485382 | + | 0.0446675i | ||||
\(116\) | −2.60078 | − | 6.31103i | −0.241476 | − | 0.585964i | ||||
\(117\) | −4.17760 | + | 15.5910i | −0.386220 | + | 1.44139i | ||||
\(118\) | −0.972912 | + | 0.478696i | −0.0895638 | + | 0.0440675i | ||||
\(119\) | 11.1198 | − | 1.14303i | 1.01935 | − | 0.104781i | ||||
\(120\) | 15.0487 | − | 6.65380i | 1.37375 | − | 0.607406i | ||||
\(121\) | 4.59381 | + | 7.95671i | 0.417619 | + | 0.723337i | ||||
\(122\) | −0.128553 | + | 1.93458i | −0.0116386 | + | 0.175149i | ||||
\(123\) | −24.0793 | + | 6.45202i | −2.17115 | + | 0.581759i | ||||
\(124\) | −1.75377 | + | 13.1379i | −0.157493 | + | 1.17982i | ||||
\(125\) | −5.45893 | + | 9.75705i | −0.488262 | + | 0.872697i | ||||
\(126\) | 13.7423 | + | 3.15568i | 1.22426 | + | 0.281131i | ||||
\(127\) | 2.84934 | + | 2.84934i | 0.252838 | + | 0.252838i | 0.822133 | − | 0.569295i | \(-0.192784\pi\) |
−0.569295 | + | 0.822133i | \(0.692784\pi\) | |||||||
\(128\) | −9.44653 | + | 6.22600i | −0.834963 | + | 0.550306i | ||||
\(129\) | −11.8915 | − | 6.86558i | −1.04699 | − | 0.604480i | ||||
\(130\) | 7.06836 | + | 11.5544i | 0.619936 | + | 1.01338i | ||||
\(131\) | −7.16245 | − | 12.4057i | −0.625786 | − | 1.08389i | −0.988388 | − | 0.151949i | \(-0.951445\pi\) |
0.362603 | − | 0.931944i | \(-0.381888\pi\) | |||||||
\(132\) | 6.94654 | − | 0.901776i | 0.604619 | − | 0.0784895i | ||||
\(133\) | −7.09970 | − | 18.6226i | −0.615622 | − | 1.61478i | ||||
\(134\) | 11.6147 | + | 3.95436i | 1.00336 | + | 0.341605i | ||||
\(135\) | 1.87083 | − | 4.05961i | 0.161016 | − | 0.349396i | ||||
\(136\) | 0.749291 | + | 11.9267i | 0.0642512 | + | 1.02271i | ||||
\(137\) | −0.766688 | − | 2.86132i | −0.0655026 | − | 0.244459i | 0.925410 | − | 0.378968i | \(-0.123721\pi\) |
−0.990912 | + | 0.134509i | \(0.957054\pi\) | |||||||
\(138\) | 4.78477 | − | 7.14694i | 0.407306 | − | 0.608388i | ||||
\(139\) | 22.6664i | 1.92254i | 0.275607 | + | 0.961270i | \(0.411121\pi\) | ||||
−0.275607 | + | 0.961270i | \(0.588879\pi\) | |||||||
\(140\) | 9.86400 | − | 6.53463i | 0.833661 | − | 0.552277i | ||||
\(141\) | 10.0319i | 0.844839i | ||||||||
\(142\) | −1.73008 | − | 1.15826i | −0.145185 | − | 0.0971992i | ||||
\(143\) | 1.49244 | + | 5.56987i | 0.124804 | + | 0.465776i | ||||
\(144\) | −3.95385 | + | 14.5457i | −0.329488 | + | 1.21214i | ||||
\(145\) | −7.15954 | + | 2.64241i | −0.594567 | + | 0.219440i | ||||
\(146\) | −0.431734 | + | 1.26809i | −0.0357306 | + | 0.104948i | ||||
\(147\) | 18.1818 | + | 1.03629i | 1.49961 | + | 0.0854719i | ||||
\(148\) | −18.3882 | + | 2.38710i | −1.51150 | + | 0.196218i | ||||
\(149\) | 2.33400 | + | 4.04261i | 0.191209 | + | 0.331183i | 0.945651 | − | 0.325183i | \(-0.105426\pi\) |
−0.754442 | + | 0.656366i | \(0.772093\pi\) | |||||||
\(150\) | −6.80610 | − | 17.0908i | −0.555716 | − | 1.39546i | ||||
\(151\) | −1.59837 | − | 0.922821i | −0.130074 | − | 0.0750981i | 0.433551 | − | 0.901129i | \(-0.357260\pi\) |
−0.563625 | + | 0.826031i | \(0.690594\pi\) | |||||||
\(152\) | 20.1938 | − | 6.79396i | 1.63794 | − | 0.551063i | ||||
\(153\) | 11.2582 | + | 11.2582i | 0.910175 | + | 0.910175i | ||||
\(154\) | 4.81537 | − | 1.47839i | 0.388033 | − | 0.119132i | ||||
\(155\) | 14.6052 | + | 2.50757i | 1.17312 | + | 0.201413i | ||||
\(156\) | −22.0909 | − | 2.94890i | −1.76869 | − | 0.236101i | ||||
\(157\) | −3.10033 | + | 0.830732i | −0.247434 | + | 0.0662996i | −0.380404 | − | 0.924820i | \(-0.624215\pi\) |
0.132971 | + | 0.991120i | \(0.457548\pi\) | |||||||
\(158\) | −4.26151 | − | 0.283177i | −0.339027 | − | 0.0225284i | ||||
\(159\) | −0.121019 | − | 0.209611i | −0.00959744 | − | 0.0166232i | ||||
\(160\) | 6.56189 | + | 10.8140i | 0.518763 | + | 0.854918i | ||||
\(161\) | 2.52851 | − | 5.64435i | 0.199275 | − | 0.444837i | ||||
\(162\) | −3.81129 | − | 7.74615i | −0.299443 | − | 0.608595i | ||||
\(163\) | 3.29766 | − | 12.3070i | 0.258293 | − | 0.963961i | −0.707936 | − | 0.706276i | \(-0.750374\pi\) |
0.966229 | − | 0.257685i | \(-0.0829596\pi\) | |||||||
\(164\) | −7.30179 | − | 17.7185i | −0.570174 | − | 1.38358i | ||||
\(165\) | −0.717678 | − | 7.79868i | −0.0558711 | − | 0.607127i | ||||
\(166\) | 13.9885 | − | 2.76936i | 1.08572 | − | 0.214944i | ||||
\(167\) | −10.3330 | − | 10.3330i | −0.799593 | − | 0.799593i | 0.183438 | − | 0.983031i | \(-0.441277\pi\) |
−0.983031 | + | 0.183438i | \(0.941277\pi\) | |||||||
\(168\) | −1.87823 | + | 19.3779i | −0.144909 | + | 1.49503i | ||||
\(169\) | − | 5.34648i | − | 0.411267i | ||||||
\(170\) | 13.3564 | − | 0.339522i | 1.02439 | − | 0.0260402i | ||||
\(171\) | 14.1933 | − | 24.5835i | 1.08539 | − | 1.87995i | ||||
\(172\) | 4.05716 | − | 9.74506i | 0.309356 | − | 0.743054i | ||||
\(173\) | 3.53568 | + | 0.947383i | 0.268813 | + | 0.0720282i | 0.390708 | − | 0.920515i | \(-0.372230\pi\) |
−0.121895 | + | 0.992543i | \(0.538897\pi\) | |||||||
\(174\) | 4.04707 | − | 11.8870i | 0.306807 | − | 0.901152i | ||||
\(175\) | −6.88929 | − | 11.2933i | −0.520781 | − | 0.853690i | ||||
\(176\) | 1.37495 | + | 5.20650i | 0.103641 | + | 0.392455i | ||||
\(177\) | −1.92673 | − | 0.516266i | −0.144822 | − | 0.0388049i | ||||
\(178\) | 0.421437 | − | 6.34217i | 0.0315880 | − | 0.475365i | ||||
\(179\) | 0.0344229 | + | 0.0198741i | 0.00257289 | + | 0.00148546i | 0.501286 | − | 0.865282i | \(-0.332860\pi\) |
−0.498713 | + | 0.866767i | \(0.666194\pi\) | |||||||
\(180\) | 16.0863 | + | 5.02436i | 1.19900 | + | 0.374494i | ||||
\(181\) | − | 22.4617i | − | 1.66957i | −0.550577 | − | 0.834784i | \(-0.685592\pi\) | ||
0.550577 | − | 0.834784i | \(-0.314408\pi\) | |||||||
\(182\) | −16.0161 | + | 0.578112i | −1.18719 | + | 0.0428525i | ||||
\(183\) | −2.52206 | + | 2.52206i | −0.186436 | + | 0.186436i | ||||
\(184\) | 5.92205 | + | 2.94040i | 0.436580 | + | 0.216769i | ||||
\(185\) | 1.89977 | + | 20.6439i | 0.139674 | + | 1.51777i | ||||
\(186\) | −18.3467 | + | 16.0603i | −1.34524 | + | 1.17760i | ||||
\(187\) | 5.49414 | + | 1.47215i | 0.401771 | + | 0.107654i | ||||
\(188\) | −7.64790 | + | 0.992824i | −0.557781 | + | 0.0724092i | ||||
\(189\) | 3.09895 | + | 4.28592i | 0.225416 | + | 0.311755i | ||||
\(190\) | −6.74802 | − | 22.8451i | −0.489553 | − | 1.65736i | ||||
\(191\) | 20.3885 | − | 11.7713i | 1.47526 | − | 0.851743i | 0.475651 | − | 0.879634i | \(-0.342212\pi\) |
0.999611 | + | 0.0278906i | \(0.00887902\pi\) | |||||||
\(192\) | −20.6198 | − | 2.82833i | −1.48811 | − | 0.204117i | ||||
\(193\) | −4.43408 | + | 1.18811i | −0.319172 | + | 0.0855218i | −0.414848 | − | 0.909891i | \(-0.636165\pi\) |
0.0956763 | + | 0.995413i | \(0.469499\pi\) | |||||||
\(194\) | 4.24810 | + | 21.4578i | 0.304996 | + | 1.54058i | ||||
\(195\) | −4.21639 | + | 24.5581i | −0.301942 | + | 1.75864i | ||||
\(196\) | 1.00936 | + | 13.9636i | 0.0720973 | + | 0.997398i | ||||
\(197\) | 15.8550 | + | 15.8550i | 1.12962 | + | 1.12962i | 0.990238 | + | 0.139386i | \(0.0445129\pi\) |
0.139386 | + | 0.990238i | \(0.455487\pi\) | |||||||
\(198\) | 5.96182 | + | 3.99135i | 0.423688 | + | 0.283653i | ||||
\(199\) | −1.70369 | + | 2.95087i | −0.120771 | + | 0.209182i | −0.920072 | − | 0.391749i | \(-0.871870\pi\) |
0.799301 | + | 0.600931i | \(0.205203\pi\) | |||||||
\(200\) | 12.3557 | − | 6.88010i | 0.873682 | − | 0.486497i | ||||
\(201\) | 11.2855 | + | 19.5471i | 0.796020 | + | 1.37875i | ||||
\(202\) | −15.6948 | + | 7.72224i | −1.10429 | + | 0.543335i | ||||
\(203\) | 1.43297 | − | 8.91541i | 0.100575 | − | 0.625739i | ||||
\(204\) | −13.4144 | + | 17.4168i | −0.939193 | + | 1.21942i | ||||
\(205\) | −20.1007 | + | 7.41868i | −1.40390 | + | 0.518143i | ||||
\(206\) | −5.95747 | + | 5.21506i | −0.415077 | + | 0.363350i | ||||
\(207\) | 8.50897 | − | 2.27997i | 0.591414 | − | 0.158469i | ||||
\(208\) | 0.0618541 | − | 17.1330i | 0.00428881 | − | 1.18796i | ||||
\(209\) | − | 10.1411i | − | 0.701472i | ||||||
\(210\) | 21.5716 | + | 2.90698i | 1.48859 | + | 0.200601i | ||||
\(211\) | 1.03347 | 0.0711473 | 0.0355736 | − | 0.999367i | \(-0.488674\pi\) | ||||
0.0355736 | + | 0.999367i | \(0.488674\pi\) | |||||||
\(212\) | 0.147822 | − | 0.113004i | 0.0101524 | − | 0.00776117i | ||||
\(213\) | −0.991301 | − | 3.69958i | −0.0679228 | − | 0.253491i | ||||
\(214\) | −2.64289 | + | 2.31354i | −0.180664 | + | 0.158150i | ||||
\(215\) | −10.7184 | − | 4.93948i | −0.730991 | − | 0.336870i | ||||
\(216\) | −4.70969 | + | 3.12850i | −0.320454 | + | 0.212868i | ||||
\(217\) | −11.0656 | + | 13.6012i | −0.751184 | + | 0.923309i | ||||
\(218\) | 1.44961 | + | 2.94621i | 0.0981798 | + | 0.199543i | ||||
\(219\) | −2.13414 | + | 1.23214i | −0.144212 | + | 0.0832606i | ||||
\(220\) | 5.87436 | − | 1.31894i | 0.396049 | − | 0.0889227i | ||||
\(221\) | −15.6725 | − | 9.04851i | −1.05425 | − | 0.608669i | ||||
\(222\) | −28.3452 | − | 18.9767i | −1.90241 | − | 1.27363i | ||||
\(223\) | 11.4185 | − | 11.4185i | 0.764637 | − | 0.764637i | −0.212519 | − | 0.977157i | \(-0.568167\pi\) |
0.977157 | + | 0.212519i | \(0.0681669\pi\) | |||||||
\(224\) | −14.9587 | + | 0.485877i | −0.999473 | + | 0.0324641i | ||||
\(225\) | 6.28468 | − | 17.7629i | 0.418979 | − | 1.18419i | ||||
\(226\) | 3.39495 | − | 0.672113i | 0.225829 | − | 0.0447083i | ||||
\(227\) | 1.50910 | + | 5.63203i | 0.100162 | + | 0.373811i | 0.997752 | − | 0.0670219i | \(-0.0213497\pi\) |
−0.897589 | + | 0.440833i | \(0.854683\pi\) | |||||||
\(228\) | 36.1843 | + | 15.0646i | 2.39637 | + | 0.997679i | ||||
\(229\) | −4.74804 | − | 8.22385i | −0.313759 | − | 0.543447i | 0.665414 | − | 0.746475i | \(-0.268255\pi\) |
−0.979173 | + | 0.203028i | \(0.934922\pi\) | |||||||
\(230\) | 3.53226 | − | 6.49376i | 0.232910 | − | 0.428186i | ||||
\(231\) | 8.45674 | + | 3.78839i | 0.556413 | + | 0.249258i | ||||
\(232\) | 9.46268 | + | 1.90889i | 0.621255 | + | 0.125325i | ||||
\(233\) | −0.122812 | + | 0.458341i | −0.00804569 | + | 0.0300269i | −0.969832 | − | 0.243774i | \(-0.921614\pi\) |
0.961786 | + | 0.273801i | \(0.0882810\pi\) | |||||||
\(234\) | −15.0353 | − | 17.1757i | −0.982888 | − | 1.12281i | ||||
\(235\) | 0.790139 | + | 8.58608i | 0.0515430 | + | 0.560094i | ||||
\(236\) | 0.202897 | − | 1.51995i | 0.0132075 | − | 0.0989403i | ||||
\(237\) | −5.55562 | − | 5.55562i | −0.360876 | − | 0.360876i | ||||
\(238\) | −7.40533 | + | 13.9669i | −0.480016 | + | 0.905340i | ||||
\(239\) | −15.5439 | −1.00545 | −0.502724 | − | 0.864447i | \(-0.667669\pi\) | ||||
−0.502724 | + | 0.864447i | \(0.667669\pi\) | |||||||
\(240\) | −4.02030 | + | 22.9196i | −0.259509 | + | 1.47945i | ||||
\(241\) | 10.3350 | − | 17.9007i | 0.665735 | − | 1.15309i | −0.313350 | − | 0.949638i | \(-0.601451\pi\) |
0.979085 | − | 0.203450i | \(-0.0652154\pi\) | |||||||
\(242\) | −12.9647 | − | 0.861501i | −0.833400 | − | 0.0553794i | ||||
\(243\) | 5.66257 | − | 21.1330i | 0.363254 | − | 1.35568i | ||||
\(244\) | −2.17231 | − | 1.67311i | −0.139068 | − | 0.107110i | ||||
\(245\) | 15.6430 | − | 0.545103i | 0.999393 | − | 0.0348254i | ||||
\(246\) | 11.3623 | − | 33.3733i | 0.724435 | − | 2.12780i | ||||
\(247\) | −8.35086 | + | 31.1658i | −0.531352 | + | 1.98303i | ||||
\(248\) | −14.0594 | − | 12.3973i | −0.892775 | − | 0.787229i | ||||
\(249\) | 22.7184 | + | 13.1165i | 1.43972 | + | 0.831222i | ||||
\(250\) | −7.17131 | − | 14.0916i | −0.453553 | − | 0.891229i | ||||
\(251\) | −18.3023 | −1.15523 | −0.577615 | − | 0.816310i | \(-0.696016\pi\) | ||||
−0.577615 | + | 0.816310i | \(0.696016\pi\) | |||||||
\(252\) | −14.5203 | + | 13.6667i | −0.914693 | + | 0.860924i | ||||
\(253\) | 2.22530 | − | 2.22530i | 0.139903 | − | 0.139903i | ||||
\(254\) | −5.59019 | + | 1.10671i | −0.350760 | + | 0.0694414i | ||||
\(255\) | 18.8993 | + | 15.7140i | 1.18352 | + | 0.984046i | ||||
\(256\) | 0.115526 | − | 15.9996i | 0.00722037 | − | 0.999974i | ||||
\(257\) | −13.6246 | − | 3.65071i | −0.849882 | − | 0.227725i | −0.192513 | − | 0.981294i | \(-0.561664\pi\) |
−0.657369 | + | 0.753569i | \(0.728331\pi\) | |||||||
\(258\) | 17.4239 | − | 8.57299i | 1.08477 | − | 0.533731i | ||||
\(259\) | −22.3859 | − | 10.0283i | −1.39099 | − | 0.623125i | ||||
\(260\) | −19.1394 | − | 0.783960i | −1.18697 | − | 0.0486192i | ||||
\(261\) | 11.1382 | − | 6.43066i | 0.689439 | − | 0.398048i | ||||
\(262\) | 20.2139 | + | 1.34321i | 1.24882 | + | 0.0829839i | ||||
\(263\) | 3.65103 | + | 13.6258i | 0.225132 | + | 0.840205i | 0.982351 | + | 0.187044i | \(0.0598908\pi\) |
−0.757219 | + | 0.653161i | \(0.773443\pi\) | |||||||
\(264\) | −4.40550 | + | 8.87282i | −0.271140 | + | 0.546084i | ||||
\(265\) | −0.120087 | − | 0.169870i | −0.00737688 | − | 0.0104350i | ||||
\(266\) | 27.4703 | + | 6.30808i | 1.68431 | + | 0.386773i | ||||
\(267\) | 8.26812 | − | 8.26812i | 0.506001 | − | 0.506001i | ||||
\(268\) | −13.7850 | + | 10.5381i | −0.842053 | + | 0.643718i | ||||
\(269\) | 10.4789 | − | 18.1500i | 0.638911 | − | 1.10663i | −0.346761 | − | 0.937953i | \(-0.612719\pi\) |
0.985672 | − | 0.168673i | \(-0.0539481\pi\) | |||||||
\(270\) | 3.29883 | + | 5.39246i | 0.200761 | + | 0.328175i | ||||
\(271\) | −19.6758 | + | 11.3598i | −1.19522 | + | 0.690061i | −0.959486 | − | 0.281756i | \(-0.909083\pi\) |
−0.235735 | + | 0.971817i | \(0.575750\pi\) | |||||||
\(272\) | −14.6054 | − | 8.50286i | −0.885580 | − | 0.515562i | ||||
\(273\) | −22.8699 | − | 18.6064i | −1.38415 | − | 1.12611i | ||||
\(274\) | 3.96572 | + | 1.35017i | 0.239578 | + | 0.0815670i | ||||
\(275\) | −1.22849 | − | 6.61819i | −0.0740806 | − | 0.399092i | ||||
\(276\) | 4.63439 | + | 11.2458i | 0.278958 | + | 0.676917i | ||||
\(277\) | 7.75495 | − | 2.07793i | 0.465950 | − | 0.124851i | −0.0182029 | − | 0.999834i | \(-0.505794\pi\) |
0.484153 | + | 0.874983i | \(0.339128\pi\) | |||||||
\(278\) | −26.6368 | − | 17.8329i | −1.59757 | − | 1.06955i | ||||
\(279\) | −24.9739 | −1.49515 | ||||||||
\(280\) | −0.0812860 | + | 16.7330i | −0.00485777 | + | 0.999988i | ||||
\(281\) | −16.3703 | −0.976567 | −0.488284 | − | 0.872685i | \(-0.662377\pi\) | ||||
−0.488284 | + | 0.872685i | \(0.662377\pi\) | |||||||
\(282\) | −11.7892 | − | 7.89267i | −0.702034 | − | 0.470001i | ||||
\(283\) | 19.1402 | − | 5.12860i | 1.13777 | − | 0.304864i | 0.359714 | − | 0.933062i | \(-0.382874\pi\) |
0.778053 | + | 0.628199i | \(0.216207\pi\) | |||||||
\(284\) | 2.72230 | − | 1.12186i | 0.161539 | − | 0.0665702i | ||||
\(285\) | 18.3408 | − | 39.7986i | 1.08641 | − | 2.35746i | ||||
\(286\) | −7.71971 | − | 2.62826i | −0.456476 | − | 0.155412i | ||||
\(287\) | 4.02314 | − | 25.0304i | 0.237478 | − | 1.47750i | ||||
\(288\) | −13.9829 | − | 16.0904i | −0.823951 | − | 0.948134i | ||||
\(289\) | −0.736955 | + | 0.425481i | −0.0433503 | + | 0.0250283i | ||||
\(290\) | 2.52754 | − | 10.4926i | 0.148422 | − | 0.616145i | ||||
\(291\) | −20.1202 | + | 34.8492i | −1.17947 | + | 2.04289i | ||||
\(292\) | −1.15054 | − | 1.50503i | −0.0673304 | − | 0.0880754i | ||||
\(293\) | −3.70370 | + | 3.70370i | −0.216373 | + | 0.216373i | −0.806968 | − | 0.590595i | \(-0.798893\pi\) |
0.590595 | + | 0.806968i | \(0.298893\pi\) | |||||||
\(294\) | −15.5224 | + | 20.5513i | −0.905286 | + | 1.19858i | ||||
\(295\) | −1.68971 | − | 0.290106i | −0.0983785 | − | 0.0168906i | ||||
\(296\) | 11.6618 | − | 23.4873i | 0.677829 | − | 1.36517i | ||||
\(297\) | 0.696529 | + | 2.59948i | 0.0404167 | + | 0.150837i | ||||
\(298\) | −6.58702 | − | 0.437707i | −0.381576 | − | 0.0253557i | ||||
\(299\) | −8.67132 | + | 5.00639i | −0.501476 | + | 0.289527i | ||||
\(300\) | 25.4393 | + | 5.44800i | 1.46874 | + | 0.314540i | ||||
\(301\) | 11.3160 | − | 8.18204i | 0.652241 | − | 0.471605i | ||||
\(302\) | 2.34200 | − | 1.15232i | 0.134767 | − | 0.0663085i | ||||
\(303\) | −31.0817 | − | 8.32831i | −1.78559 | − | 0.478449i | ||||
\(304\) | −7.90359 | + | 29.0763i | −0.453302 | + | 1.66764i | ||||
\(305\) | −1.95993 | + | 2.35722i | −0.112225 | + | 0.134974i | ||||
\(306\) | −22.0878 | + | 4.37281i | −1.26267 | + | 0.249977i | ||||
\(307\) | 15.4323 | − | 15.4323i | 0.880766 | − | 0.880766i | −0.112847 | − | 0.993612i | \(-0.535997\pi\) |
0.993612 | + | 0.112847i | \(0.0359969\pi\) | |||||||
\(308\) | −2.05117 | + | 6.82199i | −0.116876 | + | 0.388719i | ||||
\(309\) | −14.5653 | −0.828593 | ||||||||
\(310\) | −14.4376 | + | 15.1907i | −0.819998 | + | 0.862774i | ||||
\(311\) | 13.2913 | + | 7.67374i | 0.753681 | + | 0.435138i | 0.827022 | − | 0.562169i | \(-0.190033\pi\) |
−0.0733416 | + | 0.997307i | \(0.523366\pi\) | |||||||
\(312\) | 20.8456 | − | 23.6404i | 1.18015 | − | 1.33837i | ||||
\(313\) | −1.54249 | + | 5.75664i | −0.0871866 | + | 0.325385i | −0.995719 | − | 0.0924290i | \(-0.970537\pi\) |
0.908533 | + | 0.417814i | \(0.137204\pi\) | |||||||
\(314\) | 1.46296 | − | 4.29699i | 0.0825595 | − | 0.242493i | ||||
\(315\) | 14.6634 | + | 16.7931i | 0.826189 | + | 0.946184i | ||||
\(316\) | 3.68555 | − | 4.78519i | 0.207328 | − | 0.269188i | ||||
\(317\) | −0.917983 | + | 3.42596i | −0.0515591 | + | 0.192421i | −0.986902 | − | 0.161321i | \(-0.948424\pi\) |
0.935343 | + | 0.353743i | \(0.115091\pi\) | |||||||
\(318\) | 0.341540 | + | 0.0226953i | 0.0191526 | + | 0.00127269i | ||||
\(319\) | 2.29734 | − | 3.97912i | 0.128627 | − | 0.222788i | ||||
\(320\) | −17.8708 | − | 0.796635i | −0.999008 | − | 0.0445332i | ||||
\(321\) | −6.46157 | −0.360650 | ||||||||
\(322\) | 4.64373 | + | 7.41215i | 0.258785 | + | 0.413063i | ||||
\(323\) | 22.5048 | + | 22.5048i | 1.25220 | + | 1.25220i | ||||
\(324\) | 12.1016 | + | 1.61543i | 0.672309 | + | 0.0897461i | ||||
\(325\) | −1.67445 | + | 21.3508i | −0.0928818 | + | 1.18433i | ||||
\(326\) | 11.8683 | + | 13.5579i | 0.657327 | + | 0.750904i | ||||
\(327\) | −1.56338 | + | 5.83460i | −0.0864550 | + | 0.322654i | ||||
\(328\) | 26.5669 | + | 5.35930i | 1.46691 | + | 0.295918i | ||||
\(329\) | −9.31058 | − | 4.17088i | −0.513309 | − | 0.229948i | ||||
\(330\) | 9.72939 | + | 5.29227i | 0.535585 | + | 0.291330i | ||||
\(331\) | 1.78672 | + | 3.09470i | 0.0982072 | + | 0.170100i | 0.910943 | − | 0.412533i | \(-0.135356\pi\) |
−0.812735 | + | 0.582633i | \(0.802023\pi\) | |||||||
\(332\) | −7.75107 | + | 18.6176i | −0.425395 | + | 1.02177i | ||||
\(333\) | −9.04252 | − | 33.7471i | −0.495527 | − | 1.84933i | ||||
\(334\) | 20.2726 | − | 4.01345i | 1.10927 | − | 0.219606i | ||||
\(335\) | 11.1986 | + | 15.8410i | 0.611845 | + | 0.865489i | ||||
\(336\) | −21.2945 | − | 17.4529i | −1.16171 | − | 0.952133i | ||||
\(337\) | −13.4979 | + | 13.4979i | −0.735276 | + | 0.735276i | −0.971660 | − | 0.236384i | \(-0.924038\pi\) |
0.236384 | + | 0.971660i | \(0.424038\pi\) | |||||||
\(338\) | 6.28300 | + | 4.20637i | 0.341750 | + | 0.228796i | ||||
\(339\) | 5.51366 | + | 3.18331i | 0.299461 | + | 0.172894i | ||||
\(340\) | −10.1093 | + | 15.9631i | −0.548252 | + | 0.865723i | ||||
\(341\) | −7.72658 | + | 4.46094i | −0.418418 | + | 0.241574i | ||||
\(342\) | 17.7230 | + | 36.0207i | 0.958352 | + | 1.94778i | ||||
\(343\) | −8.52106 | + | 16.4436i | −0.460094 | + | 0.887870i | ||||
\(344\) | 8.26007 | + | 12.4348i | 0.445353 | + | 0.670441i | ||||
\(345\) | 12.7578 | − | 4.70858i | 0.686856 | − | 0.253502i | ||||
\(346\) | −3.89505 | + | 3.40965i | −0.209399 | + | 0.183304i | ||||
\(347\) | 4.91159 | + | 18.3303i | 0.263668 | + | 0.984022i | 0.963061 | + | 0.269285i | \(0.0867872\pi\) |
−0.699393 | + | 0.714738i | \(0.746546\pi\) | |||||||
\(348\) | 10.7852 | + | 14.1082i | 0.578145 | + | 0.756276i | ||||
\(349\) | 34.4127 | 1.84207 | 0.921035 | − | 0.389480i | \(-0.127345\pi\) | ||||
0.921035 | + | 0.389480i | \(0.127345\pi\) | |||||||
\(350\) | 18.6916 | + | 0.788981i | 0.999110 | + | 0.0421728i | ||||
\(351\) | − | 8.56237i | − | 0.457026i | ||||||
\(352\) | −7.20026 | − | 2.48045i | −0.383775 | − | 0.132208i | ||||
\(353\) | −5.69832 | + | 1.52686i | −0.303291 | + | 0.0812666i | −0.407255 | − | 0.913314i | \(-0.633514\pi\) |
0.103964 | + | 0.994581i | \(0.466847\pi\) | |||||||
\(354\) | 2.12256 | − | 1.85805i | 0.112813 | − | 0.0987544i | ||||
\(355\) | −1.13982 | − | 3.08831i | −0.0604954 | − | 0.163911i | ||||
\(356\) | 7.12153 | + | 5.48500i | 0.377440 | + | 0.290704i | ||||
\(357\) | −27.1740 | + | 10.3599i | −1.43820 | + | 0.548303i | ||||
\(358\) | −0.0504378 | + | 0.0248166i | −0.00266572 | + | 0.00131160i | ||||
\(359\) | 7.06599 | + | 12.2387i | 0.372929 | + | 0.645931i | 0.990015 | − | 0.140964i | \(-0.0450203\pi\) |
−0.617086 | + | 0.786896i | \(0.711687\pi\) | |||||||
\(360\) | −18.5605 | + | 14.9511i | −0.978222 | + | 0.787994i | ||||
\(361\) | 18.8718 | − | 32.6869i | 0.993252 | − | 1.72036i | ||||
\(362\) | 26.3963 | + | 17.6719i | 1.38736 | + | 0.928815i | ||||
\(363\) | −16.9017 | − | 16.9017i | −0.887109 | − | 0.887109i | ||||
\(364\) | 11.9214 | − | 19.2764i | 0.624852 | − | 1.01036i | ||||
\(365\) | −1.72951 | + | 1.22265i | −0.0905268 | + | 0.0639966i | ||||
\(366\) | −0.979594 | − | 4.94809i | −0.0512042 | − | 0.258641i | ||||
\(367\) | 17.0934 | − | 4.58016i | 0.892269 | − | 0.239083i | 0.216576 | − | 0.976266i | \(-0.430511\pi\) |
0.675693 | + | 0.737183i | \(0.263845\pi\) | |||||||
\(368\) | −8.11466 | + | 4.64602i | −0.423006 | + | 0.242191i | ||||
\(369\) | 31.2711 | − | 18.0544i | 1.62791 | − | 0.939872i | ||||
\(370\) | −25.7547 | − | 14.0092i | −1.33892 | − | 0.728303i | ||||
\(371\) | 0.244854 | − | 0.0251691i | 0.0127122 | − | 0.00130672i | ||||
\(372\) | −4.43920 | − | 34.1960i | −0.230162 | − | 1.77298i | ||||
\(373\) | 20.1671 | + | 5.40375i | 1.04421 | + | 0.279795i | 0.739857 | − | 0.672764i | \(-0.234893\pi\) |
0.304353 | + | 0.952559i | \(0.401560\pi\) | |||||||
\(374\) | −6.05257 | + | 5.29830i | −0.312971 | + | 0.273969i | ||||
\(375\) | 7.14823 | − | 28.1949i | 0.369133 | − | 1.45598i | ||||
\(376\) | 4.85030 | − | 9.76867i | 0.250135 | − | 0.503780i | ||||
\(377\) | −10.3369 | + | 10.3369i | −0.532380 | + | 0.532380i | ||||
\(378\) | −7.47479 | + | 0.269807i | −0.384462 | + | 0.0138774i | ||||
\(379\) | − | 8.01780i | − | 0.411847i | −0.978568 | − | 0.205923i | \(-0.933980\pi\) | ||
0.978568 | − | 0.205923i | \(-0.0660198\pi\) | |||||||
\(380\) | 32.1559 | + | 10.0435i | 1.64956 | + | 0.515220i | ||||
\(381\) | −9.07889 | − | 5.24170i | −0.465126 | − | 0.268540i | ||||
\(382\) | −2.20754 | + | 33.2211i | −0.112947 | + | 1.69974i | ||||
\(383\) | −30.6150 | − | 8.20325i | −1.56435 | − | 0.419167i | −0.630313 | − | 0.776341i | \(-0.717074\pi\) |
−0.934038 | + | 0.357174i | \(0.883740\pi\) | |||||||
\(384\) | 19.5465 | − | 22.0065i | 0.997479 | − | 1.12301i | ||||
\(385\) | 7.53632 | + | 2.57632i | 0.384086 | + | 0.131301i | ||||
\(386\) | 2.09231 | − | 6.14553i | 0.106496 | − | 0.312799i | ||||
\(387\) | 19.2116 | + | 5.14773i | 0.976579 | + | 0.261674i | ||||
\(388\) | −28.5587 | − | 11.8899i | −1.44985 | − | 0.603616i | ||||
\(389\) | −10.4742 | + | 18.1418i | −0.531063 | + | 0.919828i | 0.468280 | + | 0.883580i | \(0.344874\pi\) |
−0.999343 | + | 0.0362475i | \(0.988460\pi\) | |||||||
\(390\) | −25.5426 | − | 24.2762i | −1.29340 | − | 1.22927i | ||||
\(391\) | 9.87664i | 0.499483i | ||||||||
\(392\) | −17.2036 | − | 9.79975i | −0.868915 | − | 0.494962i | ||||
\(393\) | 26.3523 | + | 26.3523i | 1.32930 | + | 1.32930i | ||||
\(394\) | −31.1063 | + | 6.15825i | −1.56711 | + | 0.310248i | ||||
\(395\) | −5.19250 | − | 4.31735i | −0.261263 | − | 0.217230i | ||||
\(396\) | −9.38100 | + | 3.86591i | −0.471413 | + | 0.194269i | ||||
\(397\) | 1.00605 | − | 3.75465i | 0.0504924 | − | 0.188440i | −0.936073 | − | 0.351805i | \(-0.885568\pi\) |
0.986566 | + | 0.163365i | \(0.0522347\pi\) | |||||||
\(398\) | −2.12738 | − | 4.32373i | −0.106636 | − | 0.216729i | ||||
\(399\) | 30.3807 | + | 42.0172i | 1.52094 | + | 2.10349i | ||||
\(400\) | −1.63568 | + | 19.9330i | −0.0817841 | + | 0.996650i | ||||
\(401\) | 10.7819 | + | 18.6747i | 0.538421 | + | 0.932572i | 0.998989 | + | 0.0449481i | \(0.0143122\pi\) |
−0.460568 | + | 0.887624i | \(0.652354\pi\) | |||||||
\(402\) | −31.8501 | − | 2.11643i | −1.58854 | − | 0.105558i | ||||
\(403\) | 27.4190 | − | 7.34690i | 1.36584 | − | 0.365975i | ||||
\(404\) | 3.27310 | − | 24.5196i | 0.162843 | − | 1.21989i | ||||
\(405\) | 2.30977 | − | 13.4531i | 0.114773 | − | 0.668492i | ||||
\(406\) | 9.34968 | + | 8.69823i | 0.464017 | + | 0.431686i | ||||
\(407\) | −8.82569 | − | 8.82569i | −0.437473 | − | 0.437473i | ||||
\(408\) | −9.91374 | − | 29.4668i | −0.490803 | − | 1.45883i | ||||
\(409\) | 30.1987 | + | 17.4352i | 1.49323 | + | 0.862116i | 0.999970 | − | 0.00776728i | \(-0.00247243\pi\) |
0.493258 | + | 0.869883i | \(0.335806\pi\) | |||||||
\(410\) | 7.09618 | − | 29.4584i | 0.350455 | − | 1.45485i | ||||
\(411\) | 3.85332 | + | 6.67415i | 0.190070 | + | 0.329211i | ||||
\(412\) | −1.44148 | − | 11.1040i | −0.0710167 | − | 0.547054i | ||||
\(413\) | 1.28020 | − | 1.57355i | 0.0629947 | − | 0.0774292i | ||||
\(414\) | −4.01514 | + | 11.7932i | −0.197333 | + | 0.579606i | ||||
\(415\) | 20.4772 | + | 9.43672i | 1.00519 | + | 0.463230i | ||||
\(416\) | 20.0855 | + | 13.5522i | 0.984771 | + | 0.664450i | ||||
\(417\) | −15.2624 | − | 56.9599i | −0.747401 | − | 2.78934i | ||||
\(418\) | 11.9174 | + | 7.97854i | 0.582901 | + | 0.390243i | ||||
\(419\) | − | 1.80053i | − | 0.0879618i | −0.999032 | − | 0.0439809i | \(-0.985996\pi\) | ||
0.999032 | − | 0.0439809i | \(-0.0140041\pi\) | |||||||
\(420\) | −20.3878 | + | 23.0632i | −0.994823 | + | 1.12537i | ||||
\(421\) | − | 7.84933i | − | 0.382553i | −0.981536 | − | 0.191276i | \(-0.938737\pi\) | ||
0.981536 | − | 0.191276i | \(-0.0612627\pi\) | |||||||
\(422\) | −0.813092 | + | 1.21450i | −0.0395807 | + | 0.0591211i | ||||
\(423\) | −3.76090 | − | 14.0359i | −0.182861 | − | 0.682448i | ||||
\(424\) | 0.0164991 | + | 0.262622i | 0.000801269 | + | 0.0127540i | ||||
\(425\) | 17.4131 | + | 11.9607i | 0.844660 | + | 0.580177i | ||||
\(426\) | 5.12754 | + | 1.74573i | 0.248430 | + | 0.0845808i | ||||
\(427\) | −1.29214 | − | 3.38929i | −0.0625310 | − | 0.164019i | ||||
\(428\) | −0.639480 | − | 4.92603i | −0.0309104 | − | 0.238109i | ||||
\(429\) | −7.50091 | − | 12.9920i | −0.362147 | − | 0.627258i | ||||
\(430\) | 14.2375 | − | 8.70978i | 0.686594 | − | 0.420023i | ||||
\(431\) | −25.2094 | − | 14.5547i | −1.21430 | − | 0.701074i | −0.250603 | − | 0.968090i | \(-0.580629\pi\) |
−0.963692 | + | 0.267016i | \(0.913962\pi\) | |||||||
\(432\) | 0.0288676 | − | 7.99604i | 0.00138889 | − | 0.384710i | ||||
\(433\) | 10.4043 | + | 10.4043i | 0.500000 | + | 0.500000i | 0.911438 | − | 0.411438i | \(-0.134973\pi\) |
−0.411438 | + | 0.911438i | \(0.634973\pi\) | |||||||
\(434\) | −7.27770 | − | 23.7048i | −0.349341 | − | 1.13787i | ||||
\(435\) | 16.2124 | − | 11.4611i | 0.777325 | − | 0.549519i | ||||
\(436\) | −4.60278 | − | 0.614422i | −0.220433 | − | 0.0294255i | ||||
\(437\) | 17.0091 | − | 4.55757i | 0.813654 | − | 0.218018i | ||||
\(438\) | 0.231070 | − | 3.47736i | 0.0110410 | − | 0.166155i | ||||
\(439\) | 5.42804 | + | 9.40164i | 0.259066 | + | 0.448716i | 0.965992 | − | 0.258572i | \(-0.0832519\pi\) |
−0.706926 | + | 0.707288i | \(0.749919\pi\) | |||||||
\(440\) | −3.07172 | + | 7.94103i | −0.146438 | + | 0.378574i | ||||
\(441\) | −25.8270 | + | 5.36633i | −1.22986 | + | 0.255540i | ||||
\(442\) | 22.9639 | − | 11.2988i | 1.09228 | − | 0.537429i | ||||
\(443\) | −4.17521 | + | 15.5821i | −0.198370 | + | 0.740327i | 0.792998 | + | 0.609224i | \(0.208519\pi\) |
−0.991369 | + | 0.131104i | \(0.958148\pi\) | |||||||
\(444\) | 44.6016 | − | 18.3803i | 2.11670 | − | 0.872292i | ||||
\(445\) | 6.42528 | − | 7.72771i | 0.304587 | − | 0.366329i | ||||
\(446\) | 4.43505 | + | 22.4021i | 0.210006 | + | 1.06077i | ||||
\(447\) | −8.58733 | − | 8.58733i | −0.406167 | − | 0.406167i | ||||
\(448\) | 11.1979 | − | 17.9613i | 0.529051 | − | 0.848590i | ||||
\(449\) | − | 35.3355i | − | 1.66759i | −0.552077 | − | 0.833793i | \(-0.686165\pi\) | ||
0.552077 | − | 0.833793i | \(-0.313835\pi\) | |||||||
\(450\) | 15.9298 | + | 21.3606i | 0.750939 | + | 1.00695i | ||||
\(451\) | 6.44989 | − | 11.1715i | 0.303714 | − | 0.526047i | ||||
\(452\) | −1.88115 | + | 4.51842i | −0.0884820 | + | 0.212529i | ||||
\(453\) | 4.63803 | + | 1.24276i | 0.217914 | + | 0.0583898i | ||||
\(454\) | −7.80587 | − | 2.65759i | −0.366348 | − | 0.124727i | ||||
\(455\) | −21.0393 | − | 14.1235i | −0.986338 | − | 0.662122i | ||||
\(456\) | −46.1717 | + | 30.6704i | −2.16219 | + | 1.43627i | ||||
\(457\) | −30.9202 | − | 8.28503i | −1.44638 | − | 0.387557i | −0.551620 | − | 0.834096i | \(-0.685990\pi\) |
−0.894764 | + | 0.446538i | \(0.852657\pi\) | |||||||
\(458\) | 13.3999 | + | 0.890425i | 0.626138 | + | 0.0416068i | ||||
\(459\) | −7.31441 | − | 4.22298i | −0.341407 | − | 0.197112i | ||||
\(460\) | 4.85222 | + | 9.26000i | 0.226236 | + | 0.431750i | ||||
\(461\) | 32.7954i | 1.52743i | 0.645551 | + | 0.763717i | \(0.276628\pi\) | ||||
−0.645551 | + | 0.763717i | \(0.723372\pi\) | |||||||
\(462\) | −11.1054 | + | 6.95754i | −0.516669 | + | 0.323694i | ||||
\(463\) | 10.5490 | − | 10.5490i | 0.490253 | − | 0.490253i | −0.418133 | − | 0.908386i | \(-0.637315\pi\) |
0.908386 | + | 0.418133i | \(0.137315\pi\) | |||||||
\(464\) | −9.68808 | + | 9.61838i | −0.449758 | + | 0.446522i | ||||
\(465\) | −38.3908 | + | 3.53294i | −1.78033 | + | 0.163836i | ||||
\(466\) | −0.442004 | − | 0.504927i | −0.0204754 | − | 0.0233903i | ||||
\(467\) | −37.6580 | − | 10.0904i | −1.74261 | − | 0.466930i | −0.759582 | − | 0.650412i | \(-0.774596\pi\) |
−0.983023 | + | 0.183482i | \(0.941263\pi\) | |||||||
\(468\) | 32.0134 | − | 4.15587i | 1.47982 | − | 0.192105i | ||||
\(469\) | −22.8337 | + | 2.34712i | −1.05436 | + | 0.108380i | ||||
\(470\) | −10.7117 | − | 5.82661i | −0.494095 | − | 0.268761i | ||||
\(471\) | 7.23165 | − | 4.17520i | 0.333217 | − | 0.192383i | ||||
\(472\) | 1.62656 | + | 1.43427i | 0.0748686 | + | 0.0660175i | ||||
\(473\) | 6.86331 | − | 1.83902i | 0.315575 | − | 0.0845582i | ||||
\(474\) | 10.8997 | − | 2.15786i | 0.500639 | − | 0.0991137i | ||||
\(475\) | 12.5628 | − | 35.5073i | 0.576421 | − | 1.62918i | ||||
\(476\) | −10.5873 | − | 19.6910i | −0.485266 | − | 0.902537i | ||||
\(477\) | 0.247903 | + | 0.247903i | 0.0113507 | + | 0.0113507i | ||||
\(478\) | 12.2292 | − | 18.2666i | 0.559352 | − | 0.835496i | ||||
\(479\) | 6.67440 | − | 11.5604i | 0.304961 | − | 0.528208i | −0.672291 | − | 0.740287i | \(-0.734690\pi\) |
0.977253 | + | 0.212078i | \(0.0680232\pi\) | |||||||
\(480\) | −23.7713 | − | 22.7566i | −1.08501 | − | 1.03869i | ||||
\(481\) | 19.8557 | + | 34.3911i | 0.905342 | + | 1.56810i | ||||
\(482\) | 12.9052 | + | 26.2288i | 0.587817 | + | 1.19469i | ||||
\(483\) | −2.55346 | + | 15.8866i | −0.116186 | + | 0.722866i | ||||
\(484\) | 11.2124 | − | 14.5578i | 0.509656 | − | 0.661720i | ||||
\(485\) | −14.4756 | + | 31.4113i | −0.657303 | + | 1.42631i | ||||
\(486\) | 20.3797 | + | 23.2810i | 0.924443 | + | 1.05605i | ||||
\(487\) | 2.24272 | − | 0.600935i | 0.101627 | − | 0.0272310i | −0.207647 | − | 0.978204i | \(-0.566581\pi\) |
0.309274 | + | 0.950973i | \(0.399914\pi\) | |||||||
\(488\) | 3.67526 | − | 1.23650i | 0.166371 | − | 0.0559736i | ||||
\(489\) | 33.1476i | 1.49899i | ||||||||
\(490\) | −11.6666 | + | 18.8120i | −0.527044 | + | 0.849838i | ||||
\(491\) | −33.1377 | −1.49548 | −0.747742 | − | 0.663990i | \(-0.768862\pi\) | ||||
−0.747742 | + | 0.663990i | \(0.768862\pi\) | |||||||
\(492\) | 30.2798 | + | 39.6093i | 1.36512 | + | 1.78572i | ||||
\(493\) | 3.73214 | + | 13.9285i | 0.168087 | + | 0.627309i | ||||
\(494\) | −30.0549 | − | 34.3335i | −1.35223 | − | 1.54474i | ||||
\(495\) | 3.92780 | + | 10.6423i | 0.176541 | + | 0.478334i | ||||
\(496\) | 25.6302 | − | 6.76852i | 1.15083 | − | 0.303915i | ||||
\(497\) | 3.84572 | + | 0.618122i | 0.172504 | + | 0.0277266i | ||||
\(498\) | −33.2878 | + | 16.3784i | −1.49166 | + | 0.733934i | ||||
\(499\) | −29.8457 | + | 17.2314i | −1.33608 | + | 0.771384i | −0.986223 | − | 0.165421i | \(-0.947102\pi\) |
−0.349852 | + | 0.936805i | \(0.613768\pi\) | |||||||
\(500\) | 22.2020 | + | 2.65915i | 0.992904 | + | 0.118921i | ||||
\(501\) | 32.9242 | + | 19.0088i | 1.47094 | + | 0.849250i | ||||
\(502\) | 14.3994 | − | 21.5082i | 0.642678 | − | 0.959958i | ||||
\(503\) | 14.2936 | − | 14.2936i | 0.637319 | − | 0.637319i | −0.312574 | − | 0.949893i | \(-0.601191\pi\) |
0.949893 | + | 0.312574i | \(0.101191\pi\) | |||||||
\(504\) | −4.63677 | − | 27.8162i | −0.206538 | − | 1.23903i | ||||
\(505\) | −27.2580 | − | 4.67994i | −1.21297 | − | 0.208254i | ||||
\(506\) | 0.864329 | + | 4.36587i | 0.0384241 | + | 0.194086i | ||||
\(507\) | 3.60003 | + | 13.4355i | 0.159883 | + | 0.596691i | ||||
\(508\) | 3.09754 | − | 7.44011i | 0.137431 | − | 0.330102i | ||||
\(509\) | 11.9053 | + | 20.6206i | 0.527692 | + | 0.913990i | 0.999479 | + | 0.0322771i | \(0.0102759\pi\) |
−0.471787 | + | 0.881713i | \(0.656391\pi\) | |||||||
\(510\) | −33.3356 | + | 9.84671i | −1.47613 | + | 0.436020i | ||||
\(511\) | −0.256257 | − | 2.49296i | −0.0113361 | − | 0.110282i | ||||
\(512\) | 18.7113 | + | 12.7235i | 0.826929 | + | 0.562306i | ||||
\(513\) | −3.89738 | + | 14.5452i | −0.172073 | + | 0.642187i | ||||
\(514\) | 15.0095 | − | 13.1390i | 0.662039 | − | 0.579536i | ||||
\(515\) | −12.4661 | + | 1.14720i | −0.549324 | + | 0.0505518i | ||||
\(516\) | −3.63369 | + | 27.2208i | −0.159964 | + | 1.19833i | ||||
\(517\) | −3.67072 | − | 3.67072i | −0.161438 | − | 0.161438i | ||||
\(518\) | 29.3971 | − | 18.4173i | 1.29163 | − | 0.809211i | ||||
\(519\) | −9.52295 | −0.418011 | ||||||||
\(520\) | 15.9793 | − | 21.8751i | 0.700738 | − | 0.959288i | ||||
\(521\) | 6.41794 | − | 11.1162i | 0.281175 | − | 0.487010i | −0.690499 | − | 0.723333i | \(-0.742609\pi\) |
0.971674 | + | 0.236323i | \(0.0759425\pi\) | |||||||
\(522\) | −1.20597 | + | 18.1486i | −0.0527841 | + | 0.794343i | ||||
\(523\) | 6.84585 | − | 25.5491i | 0.299348 | − | 1.11718i | −0.638354 | − | 0.769743i | \(-0.720385\pi\) |
0.937702 | − | 0.347439i | \(-0.112949\pi\) | |||||||
\(524\) | −17.4819 | + | 22.6979i | −0.763700 | + | 0.991562i | ||||
\(525\) | 24.9168 | + | 23.7407i | 1.08746 | + | 1.03613i | ||||
\(526\) | −18.8851 | − | 6.42964i | −0.823429 | − | 0.280346i | ||||
\(527\) | 7.24700 | − | 27.0462i | 0.315684 | − | 1.17815i | ||||
\(528\) | −6.96098 | − | 12.1579i | −0.302938 | − | 0.529106i | ||||
\(529\) | −15.1861 | − | 8.76771i | −0.660266 | − | 0.381205i | ||||
\(530\) | 0.294104 | − | 0.00747616i | 0.0127751 | − | 0.000324744i | ||||
\(531\) | 2.88928 | 0.125384 | ||||||||
\(532\) | −29.0255 | + | 27.3193i | −1.25841 | + | 1.18444i | ||||
\(533\) | −29.0214 | + | 29.0214i | −1.25706 | + | 1.25706i | ||||
\(534\) | 3.21142 | + | 16.2214i | 0.138972 | + | 0.701969i | ||||
\(535\) | −5.53031 | + | 0.508930i | −0.239096 | + | 0.0220030i | ||||
\(536\) | −1.53861 | − | 24.4906i | −0.0664579 | − | 1.05783i | ||||
\(537\) | −0.0998857 | − | 0.0267643i | −0.00431039 | − | 0.00115496i | ||||
\(538\) | 13.0849 | + | 26.5941i | 0.564131 | + | 1.14655i | ||||
\(539\) | −7.03198 | + | 6.27361i | −0.302889 | + | 0.270223i | ||||
\(540\) | −8.93241 | − | 0.365877i | −0.384390 | − | 0.0157449i | ||||
\(541\) | −16.8313 | + | 9.71758i | −0.723636 | + | 0.417791i | −0.816089 | − | 0.577926i | \(-0.803862\pi\) |
0.0924536 | + | 0.995717i | \(0.470529\pi\) | |||||||
\(542\) | 2.13037 | − | 32.0598i | 0.0915072 | − | 1.37709i | ||||
\(543\) | 15.1245 | + | 56.4455i | 0.649056 | + | 2.42231i | ||||
\(544\) | 21.4831 | − | 10.4741i | 0.921082 | − | 0.449071i | ||||
\(545\) | −0.878511 | + | 5.11684i | −0.0376313 | + | 0.219181i | ||||
\(546\) | 39.8587 | − | 12.2372i | 1.70579 | − | 0.523703i | ||||
\(547\) | −5.98689 | + | 5.98689i | −0.255981 | + | 0.255981i | −0.823417 | − | 0.567436i | \(-0.807935\pi\) |
0.567436 | + | 0.823417i | \(0.307935\pi\) | |||||||
\(548\) | −4.70674 | + | 3.59812i | −0.201062 | + | 0.153704i | ||||
\(549\) | 2.58317 | − | 4.47418i | 0.110247 | − | 0.190953i | ||||
\(550\) | 8.74399 | + | 3.76322i | 0.372845 | + | 0.160464i | ||||
\(551\) | 22.2648 | − | 12.8546i | 0.948514 | − | 0.547625i | ||||
\(552\) | −16.8618 | − | 3.40151i | −0.717686 | − | 0.144778i | ||||
\(553\) | 7.46596 | − | 2.84634i | 0.317485 | − | 0.121039i | ||||
\(554\) | −3.65934 | + | 10.7482i | −0.155470 | + | 0.456647i | ||||
\(555\) | −18.6746 | − | 50.5982i | −0.792691 | − | 2.14778i | ||||
\(556\) | 41.9133 | − | 17.2725i | 1.77752 | − | 0.732517i | ||||
\(557\) | −38.2627 | + | 10.2524i | −1.62124 | + | 0.434410i | −0.951366 | − | 0.308064i | \(-0.900319\pi\) |
−0.669875 | + | 0.742474i | \(0.733652\pi\) | |||||||
\(558\) | 19.6484 | − | 29.3485i | 0.831781 | − | 1.24242i | ||||
\(559\) | −22.6069 | −0.956170 | ||||||||
\(560\) | −19.6001 | − | 13.2603i | −0.828256 | − | 0.560351i | ||||
\(561\) | −14.7978 | −0.624765 | ||||||||
\(562\) | 12.8794 | − | 19.2378i | 0.543284 | − | 0.811496i | ||||
\(563\) | −36.4705 | + | 9.77225i | −1.53705 | + | 0.411851i | −0.925311 | − | 0.379209i | \(-0.876196\pi\) |
−0.611739 | + | 0.791060i | \(0.709530\pi\) | |||||||
\(564\) | 18.5504 | − | 7.64462i | 0.781112 | − | 0.321897i | ||||
\(565\) | 4.96974 | + | 2.29025i | 0.209079 | + | 0.0963517i | ||||
\(566\) | −9.03171 | + | 26.5279i | −0.379631 | + | 1.11505i | ||||
\(567\) | 12.5283 | + | 10.1928i | 0.526139 | + | 0.428056i | ||||
\(568\) | −0.823413 | + | 4.08179i | −0.0345497 | + | 0.171268i | ||||
\(569\) | −5.44853 | + | 3.14571i | −0.228414 | + | 0.131875i | −0.609840 | − | 0.792524i | \(-0.708766\pi\) |
0.381426 | + | 0.924399i | \(0.375433\pi\) | |||||||
\(570\) | 32.3402 | + | 52.8652i | 1.35458 | + | 2.21428i | ||||
\(571\) | −17.2833 | + | 29.9355i | −0.723283 | + | 1.25276i | 0.236394 | + | 0.971657i | \(0.424034\pi\) |
−0.959677 | + | 0.281105i | \(0.909299\pi\) | |||||||
\(572\) | 9.16218 | − | 7.00414i | 0.383090 | − | 0.292858i | ||||
\(573\) | −43.3095 | + | 43.3095i | −1.80928 | + | 1.80928i | ||||
\(574\) | 26.2496 | + | 24.4207i | 1.09564 | + | 1.01930i | ||||
\(575\) | 10.5482 | − | 5.03481i | 0.439892 | − | 0.209966i | ||||
\(576\) | 29.9100 | − | 3.77306i | 1.24625 | − | 0.157211i | ||||
\(577\) | 3.52591 | + | 13.1589i | 0.146785 | + | 0.547811i | 0.999669 | + | 0.0257102i | \(0.00818471\pi\) |
−0.852884 | + | 0.522100i | \(0.825149\pi\) | |||||||
\(578\) | 0.0797927 | − | 1.20079i | 0.00331894 | − | 0.0499465i | ||||
\(579\) | 10.3427 | − | 5.97134i | 0.429826 | − | 0.248160i | ||||
\(580\) | 10.3420 | + | 11.2254i | 0.429427 | + | 0.466108i | ||||
\(581\) | −21.6188 | + | 15.6315i | −0.896897 | + | 0.648505i | ||||
\(582\) | −25.1239 | − | 51.0623i | −1.04142 | − | 2.11660i | ||||
\(583\) | 0.120979 | + | 0.0324163i | 0.00501044 | + | 0.00134254i | ||||
\(584\) | 2.67386 | − | 0.167984i | 0.110645 | − | 0.00695124i | ||||
\(585\) | −3.30745 | − | 35.9405i | −0.136746 | − | 1.48596i | ||||
\(586\) | −1.43856 | − | 7.26638i | −0.0594262 | − | 0.300171i | ||||
\(587\) | 15.9880 | − | 15.9880i | 0.659893 | − | 0.659893i | −0.295461 | − | 0.955355i | \(-0.595473\pi\) |
0.955355 | + | 0.295461i | \(0.0954733\pi\) | |||||||
\(588\) | −11.9388 | − | 34.4103i | −0.492348 | − | 1.41906i | ||||
\(589\) | −49.9218 | −2.05699 | ||||||||
\(590\) | 1.67031 | − | 1.75744i | 0.0687655 | − | 0.0723528i | ||||
\(591\) | −50.5190 | − | 29.1672i | −2.07808 | − | 1.19978i | ||||
\(592\) | 18.4264 | + | 32.1833i | 0.757322 | + | 1.32273i | ||||
\(593\) | −7.54158 | + | 28.1455i | −0.309695 | + | 1.15580i | 0.619132 | + | 0.785287i | \(0.287484\pi\) |
−0.928828 | + | 0.370512i | \(0.879182\pi\) | |||||||
\(594\) | −3.60282 | − | 1.22662i | −0.147826 | − | 0.0503289i | ||||
\(595\) | −22.4417 | + | 11.0071i | −0.920018 | + | 0.451246i | ||||
\(596\) | 5.69676 | − | 7.39647i | 0.233348 | − | 0.302971i | ||||
\(597\) | 2.29434 | − | 8.56260i | 0.0939012 | − | 0.350444i | ||||
\(598\) | 0.938875 | − | 14.1291i | 0.0383934 | − | 0.577780i | ||||
\(599\) | 19.2801 | − | 33.3941i | 0.787763 | − | 1.36445i | −0.139572 | − | 0.990212i | \(-0.544573\pi\) |
0.927335 | − | 0.374233i | \(-0.122094\pi\) | |||||||
\(600\) | −26.4168 | + | 25.6091i | −1.07846 | + | 1.04549i | ||||
\(601\) | −14.9274 | −0.608900 | −0.304450 | − | 0.952528i | \(-0.598473\pi\) | ||||
−0.304450 | + | 0.952528i | \(0.598473\pi\) | |||||||
\(602\) | 0.712362 | + | 19.7354i | 0.0290337 | + | 0.804355i | ||||
\(603\) | −23.1179 | − | 23.1179i | −0.941435 | − | 0.941435i | ||||
\(604\) | −0.488414 | + | 3.65883i | −0.0198733 | + | 0.148876i | ||||
\(605\) | −15.7970 | − | 13.1346i | −0.642239 | − | 0.533995i | ||||
\(606\) | 34.2408 | − | 29.9738i | 1.39094 | − | 1.21760i | ||||
\(607\) | 2.44316 | − | 9.11801i | 0.0991650 | − | 0.370089i | −0.898453 | − | 0.439070i | \(-0.855308\pi\) |
0.997618 | + | 0.0689810i | \(0.0219748\pi\) | |||||||
\(608\) | −27.9513 | − | 32.1640i | −1.13357 | − | 1.30442i | ||||
\(609\) | 2.40215 | + | 23.3690i | 0.0973399 | + | 0.946959i | ||||
\(610\) | −1.22814 | − | 4.15780i | −0.0497258 | − | 0.168344i | ||||
\(611\) | 8.25824 | + | 14.3037i | 0.334093 | + | 0.578666i | ||||
\(612\) | 12.2389 | − | 29.3971i | 0.494729 | − | 1.18831i | ||||
\(613\) | 6.66205 | + | 24.8631i | 0.269078 | + | 1.00421i | 0.959707 | + | 0.281003i | \(0.0906671\pi\) |
−0.690629 | + | 0.723209i | \(0.742666\pi\) | |||||||
\(614\) | 5.99405 | + | 30.2769i | 0.241900 | + | 1.22188i | ||||
\(615\) | 45.5170 | − | 32.1776i | 1.83542 | − | 1.29753i | ||||
\(616\) | −6.40320 | − | 7.77770i | −0.257992 | − | 0.313373i | ||||
\(617\) | 24.6497 | − | 24.6497i | 0.992359 | − | 0.992359i | −0.00761213 | − | 0.999971i | \(-0.502423\pi\) |
0.999971 | + | 0.00761213i | \(0.00242304\pi\) | |||||||
\(618\) | 11.4594 | − | 17.1167i | 0.460963 | − | 0.688534i | ||||
\(619\) | 0.587745 | + | 0.339335i | 0.0236235 | + | 0.0136390i | 0.511765 | − | 0.859125i | \(-0.328992\pi\) |
−0.488142 | + | 0.872764i | \(0.662325\pi\) | |||||||
\(620\) | −6.49277 | − | 28.9179i | −0.260756 | − | 1.16137i | ||||
\(621\) | −4.04694 | + | 2.33650i | −0.162398 | + | 0.0937606i | ||||
\(622\) | −19.4749 | + | 9.58213i | −0.780873 | + | 0.384208i | ||||
\(623\) | 4.23605 | + | 11.1112i | 0.169714 | + | 0.445160i | ||||
\(624\) | 11.3810 | + | 43.0963i | 0.455605 | + | 1.72523i | ||||
\(625\) | 3.89730 | − | 24.6944i | 0.155892 | − | 0.987774i | ||||
\(626\) | −5.55145 | − | 6.34175i | −0.221881 | − | 0.253467i | ||||
\(627\) | 6.82845 | + | 25.4841i | 0.272702 | + | 1.01774i | ||||
\(628\) | 3.89869 | + | 5.09990i | 0.155574 | + | 0.203508i | ||||
\(629\) | 39.1714 | 1.56187 | ||||||||
\(630\) | −31.2712 | + | 4.01986i | −1.24587 | + | 0.160155i | ||||
\(631\) | − | 22.1330i | − | 0.881099i | −0.897728 | − | 0.440550i | \(-0.854784\pi\) | ||
0.897728 | − | 0.440550i | \(-0.145216\pi\) | |||||||
\(632\) | 2.72376 | + | 8.09590i | 0.108346 | + | 0.322038i | ||||
\(633\) | −2.59708 | + | 0.695886i | −0.103225 | + | 0.0276590i | ||||
\(634\) | −3.30384 | − | 3.77418i | −0.131212 | − | 0.149892i | ||||
\(635\) | −8.18326 | − | 3.77117i | −0.324743 | − | 0.149654i | ||||
\(636\) | −0.295380 | + | 0.383511i | −0.0117126 | + | 0.0152072i | ||||
\(637\) | 26.7770 | − | 13.4896i | 1.06094 | − | 0.534478i | ||||
\(638\) | 2.86867 | + | 5.83035i | 0.113572 | + | 0.230826i | ||||
\(639\) | 2.77390 | + | 4.80454i | 0.109734 | + | 0.190065i | ||||
\(640\) | 14.9961 | − | 20.3744i | 0.592774 | − | 0.805369i | ||||
\(641\) | 9.20163 | − | 15.9377i | 0.363443 | − | 0.629501i | −0.625082 | − | 0.780559i | \(-0.714935\pi\) |
0.988525 | + | 0.151058i | \(0.0482680\pi\) | |||||||
\(642\) | 5.08368 | − | 7.59342i | 0.200637 | − | 0.299688i | ||||
\(643\) | 10.4574 | + | 10.4574i | 0.412399 | + | 0.412399i | 0.882574 | − | 0.470174i | \(-0.155809\pi\) |
−0.470174 | + | 0.882574i | \(0.655809\pi\) | |||||||
\(644\) | −12.3640 | − | 0.374402i | −0.487209 | − | 0.0147535i | ||||
\(645\) | 30.2610 | + | 5.19552i | 1.19153 | + | 0.204573i | ||||
\(646\) | −44.1526 | + | 8.74107i | −1.73716 | + | 0.343913i | ||||
\(647\) | −19.0942 | + | 5.11628i | −0.750671 | + | 0.201142i | −0.613816 | − | 0.789449i | \(-0.710366\pi\) |
−0.136855 | + | 0.990591i | \(0.543700\pi\) | |||||||
\(648\) | −11.4194 | + | 12.9504i | −0.448596 | + | 0.508740i | ||||
\(649\) | 0.893903 | − | 0.516095i | 0.0350888 | − | 0.0202585i | ||||
\(650\) | −23.7734 | − | 18.7657i | −0.932469 | − | 0.736049i | ||||
\(651\) | 18.6492 | − | 41.6303i | 0.730920 | − | 1.63162i | ||||
\(652\) | −25.2703 | + | 3.28050i | −0.989662 | + | 0.128474i | ||||
\(653\) | 28.1197 | + | 7.53465i | 1.10041 | + | 0.294854i | 0.762931 | − | 0.646480i | \(-0.223760\pi\) |
0.337478 | + | 0.941333i | \(0.390426\pi\) | |||||||
\(654\) | −5.62663 | − | 6.42764i | −0.220019 | − | 0.251340i | ||||
\(655\) | 24.6299 | + | 20.4788i | 0.962370 | + | 0.800172i | ||||
\(656\) | −27.1997 | + | 27.0040i | −1.06197 | + | 1.05433i | ||||
\(657\) | 2.52400 | − | 2.52400i | 0.0984705 | − | 0.0984705i | ||||
\(658\) | 12.2266 | − | 7.66001i | 0.476644 | − | 0.298618i | ||||
\(659\) | 31.0817i | 1.21077i | 0.795932 | + | 0.605386i | \(0.206981\pi\) | ||||
−0.795932 | + | 0.605386i | \(0.793019\pi\) | |||||||
\(660\) | −13.8739 | + | 7.26992i | −0.540043 | + | 0.282981i | ||||
\(661\) | −40.0158 | − | 23.1031i | −1.55643 | − | 0.898608i | −0.997594 | − | 0.0693333i | \(-0.977913\pi\) |
−0.558841 | − | 0.829275i | \(-0.688754\pi\) | |||||||
\(662\) | −5.04250 | − | 0.335074i | −0.195982 | − | 0.0130230i | ||||
\(663\) | 45.4772 | + | 12.1856i | 1.76619 | + | 0.473248i | ||||
\(664\) | −15.7806 | − | 23.7563i | −0.612405 | − | 0.921924i | ||||
\(665\) | 29.3115 | + | 33.5687i | 1.13665 | + | 1.30174i | ||||
\(666\) | 46.7728 | + | 15.9243i | 1.81241 | + | 0.617054i | ||||
\(667\) | 7.70642 | + | 2.06493i | 0.298394 | + | 0.0799544i | ||||
\(668\) | −11.2331 | + | 26.9813i | −0.434622 | + | 1.04394i | ||||
\(669\) | −21.0056 | + | 36.3828i | −0.812124 | + | 1.40664i | ||||
\(670\) | −27.4264 | + | 0.697183i | −1.05958 | + | 0.0269345i | ||||
\(671\) | − | 1.84567i | − | 0.0712512i | ||||||
\(672\) | 37.2636 | − | 11.2934i | 1.43747 | − | 0.435653i | ||||
\(673\) | −13.8111 | − | 13.8111i | −0.532380 | − | 0.532380i | 0.388900 | − | 0.921280i | \(-0.372855\pi\) |
−0.921280 | + | 0.388900i | \(0.872855\pi\) | |||||||
\(674\) | −5.24271 | − | 26.4818i | −0.201942 | − | 1.02004i | ||||
\(675\) | −0.781472 | + | 9.96452i | −0.0300789 | + | 0.383535i | ||||
\(676\) | −9.88637 | + | 4.07418i | −0.380245 | + | 0.156699i | ||||
\(677\) | 1.51526 | − | 5.65504i | 0.0582363 | − | 0.217341i | −0.930675 | − | 0.365846i | \(-0.880780\pi\) |
0.988912 | + | 0.148505i | \(0.0474462\pi\) | |||||||
\(678\) | −8.07882 | + | 3.97497i | −0.310265 | + | 0.152658i | ||||
\(679\) | −23.9782 | − | 33.1624i | −0.920199 | − | 1.27266i | ||||
\(680\) | −10.8058 | − | 24.4392i | −0.414385 | − | 0.937199i | ||||
\(681\) | −7.58462 | − | 13.1369i | −0.290643 | − | 0.503409i | ||||
\(682\) | 0.836584 | − | 12.5897i | 0.0320345 | − | 0.482084i | ||||
\(683\) | 6.61451 | − | 1.77235i | 0.253097 | − | 0.0678172i | −0.130040 | − | 0.991509i | \(-0.541510\pi\) |
0.383137 | + | 0.923692i | \(0.374844\pi\) | |||||||
\(684\) | −56.2740 | − | 7.51198i | −2.15169 | − | 0.287228i | ||||
\(685\) | 3.82364 | + | 5.40875i | 0.146094 | + | 0.206658i | ||||
\(686\) | −12.6199 | − | 22.9507i | −0.481832 | − | 0.876264i | ||||
\(687\) | 17.4692 | + | 17.4692i | 0.666490 | + | 0.666490i | ||||
\(688\) | −21.1116 | − | 0.0762179i | −0.804874 | − | 0.00290578i | ||||
\(689\) | −0.345103 | − | 0.199245i | −0.0131474 | − | 0.00759064i | ||||
\(690\) | −4.50389 | + | 18.6970i | −0.171460 | + | 0.711783i | ||||
\(691\) | 0.880585 | + | 1.52522i | 0.0334990 | + | 0.0580220i | 0.882289 | − | 0.470708i | \(-0.156002\pi\) |
−0.848790 | + | 0.528730i | \(0.822668\pi\) | |||||||
\(692\) | −0.942454 | − | 7.25989i | −0.0358267 | − | 0.275980i | ||||
\(693\) | −13.2523 | − | 2.13004i | −0.503412 | − | 0.0809135i | ||||
\(694\) | −25.4054 | − | 8.64954i | −0.964375 | − | 0.328332i | ||||
\(695\) | −17.5490 | − | 47.5486i | −0.665672 | − | 1.80362i | ||||
\(696\) | −25.0647 | + | 1.57468i | −0.950075 | + | 0.0596881i | ||||
\(697\) | 10.4781 | + | 39.1050i | 0.396888 | + | 1.48121i | ||||
\(698\) | −27.0744 | + | 40.4406i | −1.02478 | + | 1.53070i | ||||
\(699\) | − | 1.23449i | − | 0.0466927i | ||||||
\(700\) | −15.6329 | + | 21.3450i | −0.590870 | + | 0.806767i | ||||
\(701\) | − | 33.6955i | − | 1.27266i | −0.771416 | − | 0.636331i | \(-0.780451\pi\) | ||
0.771416 | − | 0.636331i | \(-0.219549\pi\) | |||||||
\(702\) | 10.0622 | + | 6.73650i | 0.379774 | + | 0.254253i | ||||
\(703\) | −18.0756 | − | 67.4591i | −0.681735 | − | 2.54427i | ||||
\(704\) | 8.57979 | − | 6.50999i | 0.323363 | − | 0.245354i | ||||
\(705\) | −7.76700 | − | 21.0445i | −0.292522 | − | 0.792581i | ||||
\(706\) | 2.68887 | − | 7.89774i | 0.101197 | − | 0.297235i | ||||
\(707\) | 20.6520 | − | 25.3842i | 0.776700 | − | 0.954671i | ||||
\(708\) | 0.513580 | + | 3.95620i | 0.0193015 | + | 0.148683i | ||||
\(709\) | −17.6080 | − | 30.4979i | −0.661281 | − | 1.14537i | −0.980279 | − | 0.197617i | \(-0.936680\pi\) |
0.318998 | − | 0.947755i | \(-0.396654\pi\) | |||||||
\(710\) | 4.52604 | + | 1.09027i | 0.169859 | + | 0.0409171i | ||||
\(711\) | 9.85576 | + | 5.69023i | 0.369620 | + | 0.213400i | ||||
\(712\) | −12.0487 | + | 4.05363i | −0.451544 | + | 0.151916i | ||||
\(713\) | −10.9546 | − | 10.9546i | −0.410252 | − | 0.410252i | ||||
\(714\) | 9.20475 | − | 40.0847i | 0.344479 | − | 1.50013i | ||||
\(715\) | −7.44314 | − | 10.5287i | −0.278358 | − | 0.393752i | ||||
\(716\) | 0.0105186 | − | 0.0787974i | 0.000393099 | − | 0.00294480i | ||||
\(717\) | 39.0612 | − | 10.4664i | 1.45877 | − | 0.390875i | ||||
\(718\) | −19.9417 | − | 1.32512i | −0.744216 | − | 0.0494531i | ||||
\(719\) | 1.99792 | + | 3.46050i | 0.0745098 | + | 0.129055i | 0.900873 | − | 0.434083i | \(-0.142927\pi\) |
−0.826363 | + | 0.563138i | \(0.809594\pi\) | |||||||
\(720\) | −2.96751 | − | 33.5745i | −0.110593 | − | 1.25125i | ||||
\(721\) | 6.05571 | − | 13.5180i | 0.225526 | − | 0.503438i | ||||
\(722\) | 23.5650 | + | 47.8941i | 0.877000 | + | 1.78243i | ||||
\(723\) | −13.9181 | + | 51.9429i | −0.517618 | + | 1.93178i | ||||
\(724\) | −41.5349 | + | 17.1165i | −1.54363 | + | 0.636131i | ||||
\(725\) | 12.9731 | − | 11.0862i | 0.481809 | − | 0.411733i | ||||
\(726\) | 33.1598 | − | 6.56479i | 1.23068 | − | 0.243642i | ||||
\(727\) | 21.1551 | + | 21.1551i | 0.784598 | + | 0.784598i | 0.980603 | − | 0.196005i | \(-0.0627969\pi\) |
−0.196005 | + | 0.980603i | \(0.562797\pi\) | |||||||
\(728\) | 13.2738 | + | 29.1755i | 0.491959 | + | 1.08132i | ||||
\(729\) | 38.6059i | 1.42985i | ||||||||
\(730\) | −0.0761178 | − | 2.99439i | −0.00281725 | − | 0.110827i | ||||
\(731\) | −11.1498 | + | 19.3120i | −0.412389 | + | 0.714278i | ||||
\(732\) | 6.58552 | + | 2.74175i | 0.243408 | + | 0.101338i | ||||
\(733\) | 20.4556 | + | 5.48107i | 0.755546 | + | 0.202448i | 0.615977 | − | 0.787764i | \(-0.288762\pi\) |
0.139569 | + | 0.990212i | \(0.455428\pi\) | |||||||
\(734\) | −8.06588 | + | 23.6911i | −0.297717 | + | 0.874453i | ||||
\(735\) | −38.9432 | + | 11.9030i | −1.43644 | + | 0.439048i | ||||
\(736\) | 0.924411 | − | 13.1914i | 0.0340742 | − | 0.486240i | ||||
\(737\) | −11.2818 | − | 3.02295i | −0.415571 | − | 0.111352i | ||||
\(738\) | −3.38583 | + | 50.9530i | −0.124634 | + | 1.87561i | ||||
\(739\) | 0.950273 | + | 0.548641i | 0.0349564 | + | 0.0201821i | 0.517376 | − | 0.855758i | \(-0.326909\pi\) |
−0.482420 | + | 0.875940i | \(0.660242\pi\) | |||||||
\(740\) | 36.7258 | − | 19.2442i | 1.35007 | − | 0.707432i | ||||
\(741\) | − | 83.9416i | − | 3.08367i | ||||||
\(742\) | −0.163063 | + | 0.307547i | −0.00598622 | + | 0.0112904i | ||||
\(743\) | −5.20049 | + | 5.20049i | −0.190787 | + | 0.190787i | −0.796036 | − | 0.605249i | \(-0.793074\pi\) |
0.605249 | + | 0.796036i | \(0.293074\pi\) | |||||||
\(744\) | 43.6785 | + | 21.6871i | 1.60133 | + | 0.795087i | ||||
\(745\) | −8.02606 | − | 6.67334i | −0.294052 | − | 0.244492i | ||||
\(746\) | −22.2169 | + | 19.4482i | −0.813417 | + | 0.712050i | ||||
\(747\) | −36.7031 | − | 9.83456i | −1.34290 | − | 0.359828i | ||||
\(748\) | −1.46449 | − | 11.2812i | −0.0535471 | − | 0.412483i | ||||
\(749\) | 2.68647 | − | 5.99696i | 0.0981616 | − | 0.219124i | ||||
\(750\) | 27.5097 | + | 30.5828i | 1.00451 | + | 1.11673i | ||||
\(751\) | −23.6913 | + | 13.6782i | −0.864510 | + | 0.499125i | −0.865520 | − | 0.500875i | \(-0.833012\pi\) |
0.00101023 | + | 0.999999i | \(0.499678\pi\) | |||||||
\(752\) | 7.66380 | + | 13.3855i | 0.279470 | + | 0.488118i | ||||
\(753\) | 45.9929 | − | 12.3238i | 1.67608 | − | 0.449103i | ||||
\(754\) | −4.01497 | − | 20.2803i | −0.146217 | − | 0.738564i | ||||
\(755\) | 4.06747 | + | 0.698344i | 0.148030 | + | 0.0254153i | ||||
\(756\) | 5.56377 | − | 8.99640i | 0.202352 | − | 0.327196i | ||||
\(757\) | 24.8295 | + | 24.8295i | 0.902444 | + | 0.902444i | 0.995647 | − | 0.0932031i | \(-0.0297106\pi\) |
−0.0932031 | + | 0.995647i | \(0.529711\pi\) | |||||||
\(758\) | 9.42225 | + | 6.30805i | 0.342232 | + | 0.229119i | ||||
\(759\) | −4.09370 | + | 7.09050i | −0.148592 | + | 0.257369i | ||||
\(760\) | −37.1016 | + | 29.8867i | −1.34582 | + | 1.08410i | ||||
\(761\) | 3.21147 | + | 5.56244i | 0.116416 | + | 0.201638i | 0.918345 | − | 0.395781i | \(-0.129526\pi\) |
−0.801929 | + | 0.597419i | \(0.796193\pi\) | |||||||
\(762\) | 13.3027 | − | 6.54526i | 0.481907 | − | 0.237110i | ||||
\(763\) | −4.76508 | − | 3.87677i | −0.172508 | − | 0.140348i | ||||
\(764\) | −37.3035 | − | 28.7311i | −1.34959 | − | 1.03945i | ||||
\(765\) | −32.3335 | − | 14.9005i | −1.16902 | − | 0.538730i | ||||
\(766\) | 33.7267 | − | 29.5237i | 1.21859 | − | 1.06673i | ||||
\(767\) | −3.17216 | + | 0.849977i | −0.114540 | + | 0.0306909i | ||||
\(768\) | 10.4829 | + | 40.2842i | 0.378271 | + | 1.45363i | ||||
\(769\) | − | 34.2490i | − | 1.23505i | −0.786551 | − | 0.617525i | \(-0.788135\pi\) | ||
0.786551 | − | 0.617525i | \(-0.211865\pi\) | |||||||
\(770\) | −8.95684 | + | 6.82949i | −0.322782 | + | 0.246118i | ||||
\(771\) | 36.6964 | 1.32159 | ||||||||
\(772\) | 5.57587 | + | 7.29385i | 0.200680 | + | 0.262511i | ||||
\(773\) | 3.70596 | + | 13.8308i | 0.133294 | + | 0.497461i | 0.999999 | − | 0.00136055i | \(-0.000433078\pi\) |
−0.866705 | + | 0.498821i | \(0.833766\pi\) | |||||||
\(774\) | −21.1643 | + | 18.5268i | −0.760734 | + | 0.665932i | ||||
\(775\) | −32.5796 | + | 6.04752i | −1.17029 | + | 0.217233i | ||||
\(776\) | 36.4413 | − | 24.2068i | 1.30817 | − | 0.868975i | ||||
\(777\) | 63.0074 | + | 10.1272i | 2.26038 | + | 0.363311i | ||||
\(778\) | −13.0790 | − | 26.5821i | −0.468906 | − | 0.953015i | ||||
\(779\) | 62.5095 | − | 36.0899i | 2.23964 | − | 1.29305i | ||||
\(780\) | 48.6244 | − | 10.9174i | 1.74103 | − | 0.390904i | ||||
\(781\) | 1.71642 | + | 0.990973i | 0.0614182 | + | 0.0354598i | ||||
\(782\) | −11.6067 | − | 7.77051i | −0.415054 | − | 0.277873i | ||||
\(783\) | −4.82429 | + | 4.82429i | −0.172406 | + | 0.172406i | ||||
\(784\) | 25.0514 | − | 12.5071i | 0.894693 | − | 0.446683i | ||||
\(785\) | 5.86056 | − | 4.14304i | 0.209172 | − | 0.147871i | ||||
\(786\) | −51.7012 | + | 10.2355i | −1.84412 | + | 0.365088i | ||||
\(787\) | 3.12306 | + | 11.6554i | 0.111325 | + | 0.415471i | 0.998986 | − | 0.0450274i | \(-0.0143375\pi\) |
−0.887661 | + | 0.460498i | \(0.847671\pi\) | |||||||
\(788\) | 17.2361 | − | 41.4001i | 0.614011 | − | 1.47482i | ||||
\(789\) | −18.3498 | − | 31.7828i | −0.653271 | − | 1.13150i | ||||
\(790\) | 9.15884 | − | 2.70535i | 0.325857 | − | 0.0962520i | ||||
\(791\) | −5.24679 | + | 3.79371i | −0.186554 | + | 0.134889i | ||||
\(792\) | 2.83747 | − | 14.0658i | 0.100825 | − | 0.499805i | ||||
\(793\) | −1.51985 | + | 5.67216i | −0.0539715 | + | 0.201424i | ||||
\(794\) | 3.62081 | + | 4.13627i | 0.128498 | + | 0.146791i | ||||
\(795\) | 0.416155 | + | 0.346016i | 0.0147595 | + | 0.0122719i | ||||
\(796\) | 6.75483 | + | 0.901697i | 0.239418 | + | 0.0319598i | ||||
\(797\) | 0.417606 | + | 0.417606i | 0.0147924 | + | 0.0147924i | 0.714464 | − | 0.699672i | \(-0.246670\pi\) |
−0.699672 | + | 0.714464i | \(0.746670\pi\) | |||||||
\(798\) | −73.2794 | + | 2.64507i | −2.59406 | + | 0.0936344i | ||||
\(799\) | 16.2919 | 0.576367 | ||||||||
\(800\) | −22.1377 | − | 17.6046i | −0.782686 | − | 0.622417i | ||||
\(801\) | −8.46845 | + | 14.6678i | −0.299218 | + | 0.518261i | ||||
\(802\) | −30.4286 | − | 2.02198i | −1.07447 | − | 0.0713986i | ||||
\(803\) | 0.330043 | − | 1.23174i | 0.0116470 | − | 0.0434671i | ||||
\(804\) | 27.5454 | − | 35.7640i | 0.971451 | − | 1.26130i | ||||
\(805\) | −0.934175 | + | 13.7981i | −0.0329253 | + | 0.486319i | ||||
\(806\) | −12.9382 | + | 38.0021i | −0.455730 | + | 1.33857i | ||||
\(807\) | −14.1119 | + | 52.6663i | −0.496762 | + | 1.85394i | ||||
\(808\) | 26.2394 | + | 23.1373i | 0.923100 | + | 0.813969i | ||||
\(809\) | 14.7536 | + | 8.51800i | 0.518709 | + | 0.299477i | 0.736406 | − | 0.676540i | \(-0.236521\pi\) |
−0.217697 | + | 0.976016i | \(0.569855\pi\) | |||||||
\(810\) | 13.9924 | + | 13.2987i | 0.491644 | + | 0.467269i | ||||
\(811\) | 4.67738 | 0.164245 | 0.0821226 | − | 0.996622i | \(-0.473830\pi\) | ||||
0.0821226 | + | 0.996622i | \(0.473830\pi\) | |||||||
\(812\) | −17.5778 | + | 4.14404i | −0.616859 | + | 0.145427i | ||||
\(813\) | 41.7955 | − | 41.7955i | 1.46583 | − | 1.46583i | ||||
\(814\) | 17.3153 | − | 3.42799i | 0.606902 | − | 0.120151i | ||||
\(815\) | 2.61079 | + | 28.3703i | 0.0914519 | + | 0.993767i | ||||
\(816\) | 42.4281 | + | 11.5329i | 1.48528 | + | 0.403733i | ||||
\(817\) | 38.4032 | + | 10.2901i | 1.34356 | + | 0.360005i | ||||
\(818\) | −44.2482 | + | 21.7712i | −1.54710 | + | 0.761212i | ||||
\(819\) | 38.9732 | + | 17.4589i | 1.36184 | + | 0.610064i | ||||
\(820\) | 29.0355 | + | 31.5157i | 1.01396 | + | 1.10058i | ||||
\(821\) | 42.5947 | − | 24.5921i | 1.48657 | − | 0.858269i | 0.486682 | − | 0.873579i | \(-0.338207\pi\) |
0.999883 | + | 0.0153104i | \(0.00487363\pi\) | |||||||
\(822\) | −10.8749 | − | 0.722633i | −0.379304 | − | 0.0252047i | ||||
\(823\) | 6.20131 | + | 23.1436i | 0.216164 | + | 0.806736i | 0.985753 | + | 0.168197i | \(0.0537943\pi\) |
−0.769589 | + | 0.638539i | \(0.779539\pi\) | |||||||
\(824\) | 14.1831 | + | 7.04215i | 0.494093 | + | 0.245325i | ||||
\(825\) | 7.54348 | + | 15.8041i | 0.262630 | + | 0.550227i | ||||
\(826\) | 0.841971 | + | 2.74245i | 0.0292959 | + | 0.0954221i | ||||
\(827\) | −12.4249 | + | 12.4249i | −0.432056 | + | 0.432056i | −0.889327 | − | 0.457271i | \(-0.848827\pi\) |
0.457271 | + | 0.889327i | \(0.348827\pi\) | |||||||
\(828\) | −10.7001 | − | 13.9968i | −0.371853 | − | 0.486424i | ||||
\(829\) | −18.4502 | + | 31.9567i | −0.640802 | + | 1.10990i | 0.344452 | + | 0.938804i | \(0.388065\pi\) |
−0.985254 | + | 0.171098i | \(0.945269\pi\) | |||||||
\(830\) | −27.2003 | + | 16.6397i | −0.944136 | + | 0.577574i | ||||
\(831\) | −18.0887 | + | 10.4435i | −0.627492 | + | 0.362282i | ||||
\(832\) | −31.7284 | + | 12.9415i | −1.09998 | + | 0.448665i | ||||
\(833\) | 1.68295 | − | 29.5274i | 0.0583107 | − | 1.02306i | ||||
\(834\) | 78.9451 | + | 26.8777i | 2.73364 | + | 0.930700i | ||||
\(835\) | 29.6763 | + | 13.6760i | 1.02699 | + | 0.473278i | ||||
\(836\) | −18.7522 | + | 7.72780i | −0.648559 | + | 0.267272i | ||||
\(837\) | 12.7966 | − | 3.42883i | 0.442314 | − | 0.118518i | ||||
\(838\) | 2.11592 | + | 1.41658i | 0.0730934 | + | 0.0489349i | ||||
\(839\) | −13.2988 | −0.459127 | −0.229563 | − | 0.973294i | \(-0.573730\pi\) | ||||
−0.229563 | + | 0.973294i | \(0.573730\pi\) | |||||||
\(840\) | −11.0628 | − | 42.1042i | −0.381704 | − | 1.45273i | ||||
\(841\) | −17.3517 | −0.598336 | ||||||||
\(842\) | 9.22427 | + | 6.17551i | 0.317889 | + | 0.212822i | ||||
\(843\) | 41.1378 | − | 11.0229i | 1.41686 | − | 0.379647i | ||||
\(844\) | −0.787538 | − | 1.91104i | −0.0271082 | − | 0.0657806i | ||||
\(845\) | 4.13940 | + | 11.2156i | 0.142400 | + | 0.385828i | ||||
\(846\) | 19.4534 | + | 6.62313i | 0.668822 | + | 0.227708i | ||||
\(847\) | 22.7135 | − | 8.65933i | 0.780444 | − | 0.297538i | ||||
\(848\) | −0.321605 | − | 0.187230i | −0.0110440 | − | 0.00642951i | ||||
\(849\) | −44.6453 | + | 25.7760i | −1.53222 | + | 0.884630i | ||||
\(850\) | −27.7556 | + | 11.0532i | −0.952011 | + | 0.379121i | ||||
\(851\) | 10.8365 | − | 18.7693i | 0.371469 | − | 0.643403i | ||||
\(852\) | −6.08564 | + | 4.65225i | −0.208491 | + | 0.159383i | ||||
\(853\) | −8.18730 | + | 8.18730i | −0.280328 | + | 0.280328i | −0.833240 | − | 0.552912i | \(-0.813517\pi\) |
0.552912 | + | 0.833240i | \(0.313517\pi\) | |||||||
\(854\) | 4.99958 | + | 1.14807i | 0.171082 | + | 0.0392860i | ||||
\(855\) | −10.7408 | + | 62.5590i | −0.367326 | + | 2.13947i | ||||
\(856\) | 6.29201 | + | 3.12409i | 0.215057 | + | 0.106779i | ||||
\(857\) | 2.80662 | + | 10.4744i | 0.0958722 | + | 0.357800i | 0.997150 | − | 0.0754412i | \(-0.0240365\pi\) |
−0.901278 | + | 0.433241i | \(0.857370\pi\) | |||||||
\(858\) | 21.1691 | + | 1.40668i | 0.722701 | + | 0.0480234i | ||||
\(859\) | 17.8737 | − | 10.3194i | 0.609843 | − | 0.352093i | −0.163061 | − | 0.986616i | \(-0.552137\pi\) |
0.772904 | + | 0.634523i | \(0.218803\pi\) | |||||||
\(860\) | −0.966012 | + | 23.5839i | −0.0329407 | + | 0.804204i | ||||
\(861\) | 6.74413 | + | 65.6094i | 0.229839 | + | 2.23596i | ||||
\(862\) | 36.9378 | − | 18.1743i | 1.25811 | − | 0.619019i | ||||
\(863\) | −13.6046 | − | 3.64533i | −0.463105 | − | 0.124089i | 0.0197198 | − | 0.999806i | \(-0.493723\pi\) |
−0.482825 | + | 0.875717i | \(0.660389\pi\) | |||||||
\(864\) | 9.37396 | + | 6.32486i | 0.318909 | + | 0.215176i | ||||
\(865\) | −8.15048 | + | 0.750052i | −0.277124 | + | 0.0255025i | ||||
\(866\) | −20.4125 | + | 4.04114i | −0.693644 | + | 0.137324i | ||||
\(867\) | 1.56544 | − | 1.56544i | 0.0531653 | − | 0.0531653i | ||||
\(868\) | 33.5828 | + | 10.0974i | 1.13987 | + | 0.342727i | ||||
\(869\) | 4.06565 | 0.137918 | ||||||||
\(870\) | 0.713527 | + | 28.0694i | 0.0241908 | + | 0.951641i | ||||
\(871\) | 32.1823 | + | 18.5804i | 1.09045 | + | 0.629574i | ||||
\(872\) | 4.34331 | − | 4.92563i | 0.147083 | − | 0.166803i | ||||
\(873\) | 15.0859 | − | 56.3012i | 0.510579 | − | 1.90551i | ||||
\(874\) | −8.02609 | + | 23.5742i | −0.271487 | + | 0.797408i | ||||
\(875\) | 23.1956 | + | 18.3566i | 0.784154 | + | 0.620566i | ||||
\(876\) | 3.90468 | + | 3.00738i | 0.131927 | + | 0.101610i | ||||
\(877\) | 3.34102 | − | 12.4689i | 0.112818 | − | 0.421044i | −0.886296 | − | 0.463119i | \(-0.846730\pi\) |
0.999114 | + | 0.0420751i | \(0.0133969\pi\) | |||||||
\(878\) | −15.3190 | − | 1.01795i | −0.516992 | − | 0.0343541i | ||||
\(879\) | 6.81339 | − | 11.8011i | 0.229810 | − | 0.398043i | ||||
\(880\) | −6.91534 | − | 9.85743i | −0.233116 | − | 0.332294i | ||||
\(881\) | −38.2543 | −1.28882 | −0.644410 | − | 0.764680i | \(-0.722897\pi\) | ||||
−0.644410 | + | 0.764680i | \(0.722897\pi\) | |||||||
\(882\) | 14.0132 | − | 34.5731i | 0.471850 | − | 1.16414i | ||||
\(883\) | 6.59194 | + | 6.59194i | 0.221837 | + | 0.221837i | 0.809271 | − | 0.587435i | \(-0.199862\pi\) |
−0.587435 | + | 0.809271i | \(0.699862\pi\) | |||||||
\(884\) | −4.78904 | + | 35.8758i | −0.161073 | + | 1.20663i | ||||
\(885\) | 4.44151 | − | 0.408732i | 0.149300 | − | 0.0137394i | ||||
\(886\) | −15.0267 | − | 17.1659i | −0.504831 | − | 0.576699i | ||||
\(887\) | 8.49782 | − | 31.7143i | 0.285329 | − | 1.06486i | −0.663270 | − | 0.748380i | \(-0.730832\pi\) |
0.948599 | − | 0.316482i | \(-0.102502\pi\) | |||||||
\(888\) | −13.4906 | + | 66.8751i | −0.452716 | + | 2.24418i | ||||
\(889\) | 8.63945 | − | 6.24679i | 0.289758 | − | 0.209511i | ||||
\(890\) | 4.02622 | + | 13.6306i | 0.134959 | + | 0.456898i | ||||
\(891\) | 4.10906 | + | 7.11710i | 0.137659 | + | 0.238432i | ||||
\(892\) | −29.8155 | − | 12.4131i | −0.998298 | − | 0.415621i | ||||
\(893\) | −7.51789 | − | 28.0571i | −0.251577 | − | 0.938897i | ||||
\(894\) | 16.8477 | − | 3.33540i | 0.563470 | − | 0.111553i | ||||
\(895\) | −0.0875979 | − | 0.0150397i | −0.00292808 | − | 0.000502722i | ||||
\(896\) | 12.2975 | + | 27.2905i | 0.410830 | + | 0.911712i | ||||
\(897\) | 18.4197 | − | 18.4197i | 0.615015 | − | 0.615015i | ||||
\(898\) | 41.5251 | + | 27.8004i | 1.38571 | + | 0.927712i | ||||
\(899\) | −19.5881 | − | 11.3092i | −0.653300 | − | 0.377183i | ||||
\(900\) | −37.6351 | + | 1.91462i | −1.25450 | + | 0.0638205i | ||||
\(901\) | −0.340410 | + | 0.196536i | −0.0113407 | + | 0.00654757i | ||||
\(902\) | 8.05392 | + | 16.3690i | 0.268166 | + | 0.545027i | ||||
\(903\) | −22.9272 | + | 28.1807i | −0.762971 | + | 0.937796i | ||||
\(904\) | −3.82989 | − | 5.76556i | −0.127380 | − | 0.191760i | ||||
\(905\) | 17.3905 | + | 47.1192i | 0.578081 | + | 1.56630i | ||||
\(906\) | −5.10944 | + | 4.47271i | −0.169750 | + | 0.148596i | ||||
\(907\) | −7.82991 | − | 29.2216i | −0.259988 | − | 0.970289i | −0.965247 | − | 0.261339i | \(-0.915836\pi\) |
0.705259 | − | 0.708950i | \(-0.250831\pi\) | |||||||
\(908\) | 9.26443 | − | 7.08231i | 0.307451 | − | 0.235035i | ||||
\(909\) | 46.6093 | 1.54593 | ||||||||
\(910\) | 33.1503 | − | 13.6129i | 1.09892 | − | 0.451263i | ||||
\(911\) | − | 13.6579i | − | 0.452506i | −0.974069 | − | 0.226253i | \(-0.927352\pi\) | ||
0.974069 | − | 0.226253i | \(-0.0726476\pi\) | |||||||
\(912\) | 0.283004 | − | 78.3895i | 0.00937121 | − | 2.59574i | ||||
\(913\) | −13.1121 | + | 3.51338i | −0.433948 | + | 0.116276i | ||||
\(914\) | 34.0629 | − | 29.8180i | 1.12670 | − | 0.986293i | ||||
\(915\) | 3.33801 | − | 7.24331i | 0.110351 | − | 0.239457i | ||||
\(916\) | −11.5889 | + | 15.0466i | −0.382907 | + | 0.497154i | ||||
\(917\) | −35.4138 | + | 13.5012i | −1.16947 | + | 0.445849i | ||||
\(918\) | 10.7174 | − | 5.27319i | 0.353725 | − | 0.174041i | ||||
\(919\) | −19.7817 | − | 34.2630i | −0.652540 | − | 1.13023i | −0.982505 | − | 0.186238i | \(-0.940370\pi\) |
0.329965 | − | 0.943993i | \(-0.392963\pi\) | |||||||
\(920\) | −14.6995 | − | 1.58320i | −0.484630 | − | 0.0521964i | ||||
\(921\) | −28.3894 | + | 49.1720i | −0.935464 | + | 1.62027i | ||||
\(922\) | −38.5400 | − | 25.8020i | −1.26925 | − | 0.849743i | ||||
\(923\) | −4.45890 | − | 4.45890i | −0.146767 | − | 0.146767i | ||||
\(924\) | 0.560954 | − | 18.5245i | 0.0184540 | − | 0.609413i | ||||
\(925\) | −19.9684 | − | 41.8350i | −0.656556 | − | 1.37553i | ||||
\(926\) | 4.09733 | + | 20.6963i | 0.134647 | + | 0.680122i | ||||
\(927\) | 20.3787 | − | 5.46046i | 0.669324 | − | 0.179345i | ||||
\(928\) | −3.68104 | − | 18.9524i | −0.120836 | − | 0.622144i | ||||
\(929\) | −0.204383 | + | 0.118001i | −0.00670560 | + | 0.00387148i | −0.503349 | − | 0.864083i | \(-0.667899\pi\) |
0.496643 | + | 0.867955i | \(0.334566\pi\) | |||||||
\(930\) | 26.0524 | − | 47.8952i | 0.854293 | − | 1.57054i | ||||
\(931\) | −51.6272 | + | 10.7271i | −1.69201 | + | 0.351566i | ||||
\(932\) | 0.941122 | − | 0.122173i | 0.0308275 | − | 0.00400192i | ||||
\(933\) | −38.5676 | − | 10.3342i | −1.26265 | − | 0.338325i | ||||
\(934\) | 41.4856 | − | 36.3157i | 1.35745 | − | 1.18829i | ||||
\(935\) | −12.6651 | + | 1.16552i | −0.414194 | + | 0.0381164i | ||||
\(936\) | −20.3029 | + | 40.8907i | −0.663621 | + | 1.33656i | ||||
\(937\) | 15.1895 | − | 15.1895i | 0.496220 | − | 0.496220i | −0.414039 | − | 0.910259i | \(-0.635882\pi\) |
0.910259 | + | 0.414039i | \(0.135882\pi\) | |||||||
\(938\) | 15.2063 | − | 28.6800i | 0.496503 | − | 0.936435i | ||||
\(939\) | − | 15.5049i | − | 0.505982i | ||||||
\(940\) | 15.2747 | − | 8.00393i | 0.498207 | − | 0.261059i | ||||
\(941\) | −10.9201 | − | 6.30470i | −0.355984 | − | 0.205527i | 0.311334 | − | 0.950301i | \(-0.399224\pi\) |
−0.667317 | + | 0.744773i | \(0.732558\pi\) | |||||||
\(942\) | −0.782997 | + | 11.7833i | −0.0255114 | + | 0.383919i | ||||
\(943\) | 21.6361 | + | 5.79738i | 0.704569 | + | 0.188789i | ||||
\(944\) | −2.96521 | + | 0.783063i | −0.0965094 | + | 0.0254865i | ||||
\(945\) | −9.81913 | − | 6.59151i | −0.319416 | − | 0.214422i | ||||
\(946\) | −3.23860 | + | 9.51239i | −0.105296 | + | 0.309274i | ||||
\(947\) | −49.3508 | − | 13.2235i | −1.60369 | − | 0.429706i | −0.657533 | − | 0.753426i | \(-0.728400\pi\) |
−0.946153 | + | 0.323719i | \(0.895067\pi\) | |||||||
\(948\) | −6.03955 | + | 14.5067i | −0.196156 | + | 0.471154i | ||||
\(949\) | −2.02860 | + | 3.51363i | −0.0658510 | + | 0.114057i | ||||
\(950\) | 31.8431 | + | 42.6989i | 1.03313 | + | 1.38534i | ||||
\(951\) | − | 9.22743i | − | 0.299220i | ||||||
\(952\) | 31.4698 | + | 3.05026i | 1.01994 | + | 0.0988597i | ||||
\(953\) | −0.903575 | − | 0.903575i | −0.0292697 | − | 0.0292697i | 0.692320 | − | 0.721590i | \(-0.256588\pi\) |
−0.721590 | + | 0.692320i | \(0.756588\pi\) | |||||||
\(954\) | −0.486365 | + | 0.0962878i | −0.0157467 | + | 0.00311743i | ||||
\(955\) | −33.6564 | + | 40.4787i | −1.08910 | + | 1.30986i | ||||
\(956\) | 11.8449 | + | 28.7427i | 0.383091 | + | 0.929607i | ||||
\(957\) | −3.09382 | + | 11.5463i | −0.100009 | + | 0.373238i | ||||
\(958\) | 8.33427 | + | 16.9387i | 0.269268 | + | 0.547266i | ||||
\(959\) | −7.79631 | + | 0.801400i | −0.251756 | + | 0.0258785i | ||||
\(960\) | 45.4451 | − | 10.0313i | 1.46673 | − | 0.323760i | ||||
\(961\) | 6.46003 | + | 11.1891i | 0.208388 | + | 0.360939i | ||||
\(962\) | −56.0368 | − | 3.72364i | −1.80670 | − | 0.120055i | ||||
\(963\) | 9.04054 | − | 2.42240i | 0.291327 | − | 0.0780609i | ||||
\(964\) | −40.9765 | − | 5.46993i | −1.31976 | − | 0.176174i | ||||
\(965\) | 8.38173 | − | 5.92535i | 0.269818 | − | 0.190744i | ||||
\(966\) | −16.6605 | − | 15.4996i | −0.536041 | − | 0.498692i | ||||
\(967\) | −7.22225 | − | 7.22225i | −0.232252 | − | 0.232252i | 0.581380 | − | 0.813632i | \(-0.302513\pi\) |
−0.813632 | + | 0.581380i | \(0.802513\pi\) | |||||||
\(968\) | 8.28643 | + | 24.6299i | 0.266336 | + | 0.791636i | ||||
\(969\) | −71.7071 | − | 41.4001i | −2.30356 | − | 1.32996i | ||||
\(970\) | −25.5248 | − | 41.7243i | −0.819550 | − | 1.33969i | ||||
\(971\) | −10.5245 | − | 18.2290i | −0.337747 | − | 0.584996i | 0.646261 | − | 0.763116i | \(-0.276332\pi\) |
−0.984009 | + | 0.178121i | \(0.942998\pi\) | |||||||
\(972\) | −43.3929 | + | 5.63311i | −1.39183 | + | 0.180682i | ||||
\(973\) | 59.2098 | + | 9.51679i | 1.89818 | + | 0.305094i | ||||
\(974\) | −1.05828 | + | 3.10836i | −0.0339093 | + | 0.0995982i | ||||
\(975\) | −10.1687 | − | 54.7813i | −0.325658 | − | 1.75441i | ||||
\(976\) | −1.43845 | + | 5.29187i | −0.0460436 | + | 0.169389i | ||||
\(977\) | 2.50118 | + | 9.33452i | 0.0800197 | + | 0.298638i | 0.994325 | − | 0.106389i | \(-0.0339289\pi\) |
−0.914305 | + | 0.405027i | \(0.867262\pi\) | |||||||
\(978\) | −38.9539 | − | 26.0791i | −1.24561 | − | 0.833916i | ||||
\(979\) | 6.05069i | 0.193381i | ||||||||
\(980\) | −12.9284 | − | 28.5106i | −0.412982 | − | 0.910739i | ||||
\(981\) | − | 8.74943i | − | 0.279348i | ||||||
\(982\) | 26.0713 | − | 38.9423i | 0.831968 | − | 1.24270i | ||||
\(983\) | 4.19873 | + | 15.6699i | 0.133919 | + | 0.499792i | 1.00000 | 0.000111531i | \(-3.55014e-5\pi\) | |
−0.866081 | + | 0.499903i | \(0.833369\pi\) | |||||||
\(984\) | −70.3703 | + | 4.42099i | −2.24332 | + | 0.140936i | ||||
\(985\) | −45.5354 | − | 20.9845i | −1.45088 | − | 0.668622i | ||||
\(986\) | −19.3046 | − | 6.57247i | −0.614784 | − | 0.209310i | ||||
\(987\) | 26.2056 | + | 4.21203i | 0.834133 | + | 0.134070i | ||||
\(988\) | 63.9935 | − | 8.30741i | 2.03590 | − | 0.264294i | ||||
\(989\) | 6.16898 | + | 10.6850i | 0.196162 | + | 0.339763i | ||||
\(990\) | −15.5967 | − | 3.75705i | −0.495694 | − | 0.119407i | ||||
\(991\) | 21.4275 | + | 12.3712i | 0.680666 | + | 0.392983i | 0.800106 | − | 0.599859i | \(-0.204777\pi\) |
−0.119440 | + | 0.992841i | \(0.538110\pi\) | |||||||
\(992\) | −12.2106 | + | 35.4449i | −0.387687 | + | 1.12538i | ||||
\(993\) | −6.57377 | − | 6.57377i | −0.208612 | − | 0.208612i | ||||
\(994\) | −3.75204 | + | 4.03304i | −0.119007 | + | 0.127920i | ||||
\(995\) | 1.28926 | − | 7.50924i | 0.0408724 | − | 0.238059i | ||||
\(996\) | 6.94205 | − | 52.0045i | 0.219967 | − | 1.64783i | ||||
\(997\) | 10.6155 | − | 2.84441i | 0.336195 | − | 0.0900833i | −0.0867720 | − | 0.996228i | \(-0.527655\pi\) |
0.422967 | + | 0.906145i | \(0.360988\pi\) | |||||||
\(998\) | 3.23150 | − | 48.6305i | 0.102291 | − | 1.53937i | ||||
\(999\) | 9.26673 | + | 16.0504i | 0.293186 | + | 0.507814i |
(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 | 280.2.br.a.123.14 | yes | 176 | |
5.2 | odd | 4 | inner | 280.2.br.a.67.9 | ✓ | 176 | |
7.2 | even | 3 | inner | 280.2.br.a.163.43 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.123.21 | yes | 176 | |
35.2 | odd | 12 | inner | 280.2.br.a.107.21 | yes | 176 | |
40.27 | even | 4 | inner | 280.2.br.a.67.43 | yes | 176 | |
56.51 | odd | 6 | inner | 280.2.br.a.163.9 | yes | 176 | |
280.107 | even | 12 | inner | 280.2.br.a.107.14 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.9 | ✓ | 176 | 5.2 | odd | 4 | inner | |
280.2.br.a.67.43 | yes | 176 | 40.27 | even | 4 | inner | |
280.2.br.a.107.14 | yes | 176 | 280.107 | even | 12 | inner | |
280.2.br.a.107.21 | yes | 176 | 35.2 | odd | 12 | inner | |
280.2.br.a.123.14 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.123.21 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.163.9 | yes | 176 | 56.51 | odd | 6 | inner | |
280.2.br.a.163.43 | yes | 176 | 7.2 | even | 3 | inner |