Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(3,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.be (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 19.21 | ||
Character | \(\chi\) | \(=\) | 224.19 |
Dual form | 224.2.be.a.59.21 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.740565 | + | 1.20481i | 0.523658 | + | 0.851928i | ||||
\(3\) | 1.28344 | − | 0.168969i | 0.740996 | − | 0.0975540i | 0.249428 | − | 0.968393i | \(-0.419757\pi\) |
0.491568 | + | 0.870839i | \(0.336424\pi\) | |||||||
\(4\) | −0.903128 | + | 1.78448i | −0.451564 | + | 0.892239i | ||||
\(5\) | 1.88828 | + | 0.248596i | 0.844463 | + | 0.111176i | 0.540329 | − | 0.841454i | \(-0.318300\pi\) |
0.304134 | + | 0.952629i | \(0.401633\pi\) | |||||||
\(6\) | 1.15405 | + | 1.42117i | 0.471138 | + | 0.580191i | ||||
\(7\) | −2.57099 | + | 0.624522i | −0.971742 | + | 0.236047i | ||||
\(8\) | −2.81878 | + | 0.233426i | −0.996589 | + | 0.0825284i | ||||
\(9\) | −1.27910 | + | 0.342734i | −0.426367 | + | 0.114245i | ||||
\(10\) | 1.09888 | + | 2.45911i | 0.347497 | + | 0.777640i | ||||
\(11\) | 4.04052 | + | 3.10040i | 1.21826 | + | 0.934805i | 0.999163 | − | 0.0408980i | \(-0.0130219\pi\) |
0.219098 | + | 0.975703i | \(0.429689\pi\) | |||||||
\(12\) | −0.857592 | + | 2.44288i | −0.247566 | + | 0.705198i | ||||
\(13\) | 2.64057 | − | 6.37490i | 0.732362 | − | 1.76808i | 0.0978003 | − | 0.995206i | \(-0.468819\pi\) |
0.634562 | − | 0.772872i | \(-0.281181\pi\) | |||||||
\(14\) | −2.65641 | − | 2.63505i | −0.709956 | − | 0.704246i | ||||
\(15\) | 2.46550 | 0.636590 | ||||||||
\(16\) | −2.36872 | − | 3.22322i | −0.592180 | − | 0.805805i | ||||
\(17\) | −0.520718 | − | 0.901911i | −0.126293 | − | 0.218745i | 0.795945 | − | 0.605369i | \(-0.206975\pi\) |
−0.922238 | + | 0.386624i | \(0.873641\pi\) | |||||||
\(18\) | −1.36019 | − | 1.28726i | −0.320599 | − | 0.303409i | ||||
\(19\) | 1.12978 | − | 0.866913i | 0.259190 | − | 0.198884i | −0.470990 | − | 0.882139i | \(-0.656103\pi\) |
0.730180 | + | 0.683255i | \(0.239436\pi\) | |||||||
\(20\) | −2.14897 | + | 3.14507i | −0.480524 | + | 0.703260i | ||||
\(21\) | −3.19419 | + | 1.23595i | −0.697030 | + | 0.269707i | ||||
\(22\) | −0.743121 | + | 7.16409i | −0.158434 | + | 1.52739i | ||||
\(23\) | −0.846936 | − | 3.16081i | −0.176598 | − | 0.659074i | −0.996274 | − | 0.0862461i | \(-0.972513\pi\) |
0.819675 | − | 0.572828i | \(-0.194154\pi\) | |||||||
\(24\) | −3.57830 | + | 0.775873i | −0.730418 | + | 0.158374i | ||||
\(25\) | −1.32584 | − | 0.355257i | −0.265168 | − | 0.0710514i | ||||
\(26\) | 9.63604 | − | 1.53964i | 1.88978 | − | 0.301949i | ||||
\(27\) | −5.17168 | + | 2.14218i | −0.995290 | + | 0.412263i | ||||
\(28\) | 1.20748 | − | 5.15189i | 0.228193 | − | 0.973616i | ||||
\(29\) | −1.14636 | + | 2.76757i | −0.212874 | + | 0.513924i | −0.993863 | − | 0.110621i | \(-0.964716\pi\) |
0.780988 | + | 0.624546i | \(0.214716\pi\) | |||||||
\(30\) | 1.82586 | + | 2.97046i | 0.333356 | + | 0.542329i | ||||
\(31\) | 1.53764 | + | 2.66328i | 0.276169 | + | 0.478339i | 0.970429 | − | 0.241385i | \(-0.0776018\pi\) |
−0.694260 | + | 0.719724i | \(0.744268\pi\) | |||||||
\(32\) | 2.12917 | − | 5.24086i | 0.376388 | − | 0.926462i | ||||
\(33\) | 5.70964 | + | 3.29646i | 0.993921 | + | 0.573841i | ||||
\(34\) | 0.701004 | − | 1.29529i | 0.120221 | − | 0.222140i | ||||
\(35\) | −5.00999 | + | 0.540132i | −0.846843 | + | 0.0912989i | ||||
\(36\) | 0.543590 | − | 2.59206i | 0.0905983 | − | 0.432010i | ||||
\(37\) | 1.30043 | − | 9.87772i | 0.213789 | − | 1.62389i | −0.462062 | − | 0.886848i | \(-0.652890\pi\) |
0.675850 | − | 0.737039i | \(-0.263777\pi\) | |||||||
\(38\) | 1.88114 | + | 0.719167i | 0.305162 | + | 0.116664i | ||||
\(39\) | 2.31186 | − | 8.62799i | 0.370194 | − | 1.38158i | ||||
\(40\) | −5.38066 | − | 0.259966i | −0.850758 | − | 0.0411042i | ||||
\(41\) | −0.859509 | + | 0.859509i | −0.134233 | + | 0.134233i | −0.771031 | − | 0.636798i | \(-0.780259\pi\) |
0.636798 | + | 0.771031i | \(0.280259\pi\) | |||||||
\(42\) | −3.85459 | − | 2.93309i | −0.594777 | − | 0.452585i | ||||
\(43\) | −5.93649 | + | 2.45898i | −0.905307 | + | 0.374990i | −0.786258 | − | 0.617898i | \(-0.787984\pi\) |
−0.119049 | + | 0.992888i | \(0.537984\pi\) | |||||||
\(44\) | −9.18169 | + | 4.41016i | −1.38419 | + | 0.664856i | ||||
\(45\) | −2.50050 | + | 0.329197i | −0.372753 | + | 0.0490738i | ||||
\(46\) | 3.18096 | − | 3.36118i | 0.469007 | − | 0.495579i | ||||
\(47\) | −1.27846 | − | 0.738121i | −0.186483 | − | 0.107666i | 0.403852 | − | 0.914824i | \(-0.367671\pi\) |
−0.590335 | + | 0.807158i | \(0.701004\pi\) | |||||||
\(48\) | −3.58474 | − | 3.73658i | −0.517413 | − | 0.539329i | ||||
\(49\) | 6.21995 | − | 3.21127i | 0.888564 | − | 0.458753i | ||||
\(50\) | −0.553852 | − | 1.86047i | −0.0783265 | − | 0.263110i | ||||
\(51\) | −0.820707 | − | 1.06957i | −0.114922 | − | 0.149769i | ||||
\(52\) | 8.99109 | + | 10.4694i | 1.24684 | + | 1.45184i | ||||
\(53\) | 5.21196 | − | 6.79235i | 0.715917 | − | 0.933001i | −0.283747 | − | 0.958899i | \(-0.591578\pi\) |
0.999665 | + | 0.0258976i | \(0.00824438\pi\) | |||||||
\(54\) | −6.41088 | − | 4.64446i | −0.872410 | − | 0.632031i | ||||
\(55\) | 6.85887 | + | 6.85887i | 0.924849 | + | 0.924849i | ||||
\(56\) | 7.10126 | − | 2.36052i | 0.948946 | − | 0.315438i | ||||
\(57\) | 1.30353 | − | 1.30353i | 0.172657 | − | 0.172657i | ||||
\(58\) | −4.18335 | + | 0.668414i | −0.549300 | + | 0.0877670i | ||||
\(59\) | 8.93385 | + | 6.85519i | 1.16309 | + | 0.892469i | 0.995628 | − | 0.0934094i | \(-0.0297765\pi\) |
0.167461 | + | 0.985879i | \(0.446443\pi\) | |||||||
\(60\) | −2.22666 | + | 4.39963i | −0.287461 | + | 0.567990i | ||||
\(61\) | −10.2555 | + | 7.86934i | −1.31309 | + | 1.00757i | −0.314793 | + | 0.949160i | \(0.601935\pi\) |
−0.998293 | + | 0.0584061i | \(0.981398\pi\) | |||||||
\(62\) | −2.07001 | + | 3.82489i | −0.262892 | + | 0.485762i | ||||
\(63\) | 3.07451 | − | 1.67999i | 0.387352 | − | 0.211659i | ||||
\(64\) | 7.89102 | − | 1.31595i | 0.986378 | − | 0.164494i | ||||
\(65\) | 6.57090 | − | 11.3811i | 0.815020 | − | 1.41166i | ||||
\(66\) | 0.256753 | + | 9.32027i | 0.0316041 | + | 1.14725i | ||||
\(67\) | 1.23985 | + | 9.41758i | 0.151472 | + | 1.15054i | 0.883218 | + | 0.468963i | \(0.155372\pi\) |
−0.731746 | + | 0.681577i | \(0.761294\pi\) | |||||||
\(68\) | 2.07971 | − | 0.114670i | 0.252202 | − | 0.0139058i | ||||
\(69\) | −1.62107 | − | 3.91361i | −0.195154 | − | 0.471144i | ||||
\(70\) | −4.36098 | − | 5.63608i | −0.521237 | − | 0.673640i | ||||
\(71\) | −8.22460 | − | 8.22460i | −0.976081 | − | 0.976081i | 0.0236400 | − | 0.999721i | \(-0.492474\pi\) |
−0.999721 | + | 0.0236400i | \(0.992474\pi\) | |||||||
\(72\) | 3.52550 | − | 1.26467i | 0.415484 | − | 0.149042i | ||||
\(73\) | 1.74751 | + | 0.468243i | 0.204530 | + | 0.0548037i | 0.359629 | − | 0.933095i | \(-0.382903\pi\) |
−0.155099 | + | 0.987899i | \(0.549570\pi\) | |||||||
\(74\) | 12.8638 | − | 5.74833i | 1.49539 | − | 0.668229i | ||||
\(75\) | −1.76166 | − | 0.231928i | −0.203420 | − | 0.0267807i | ||||
\(76\) | 0.526649 | + | 2.79901i | 0.0604108 | + | 0.321068i | ||||
\(77\) | −12.3244 | − | 5.44769i | −1.40449 | − | 0.620822i | ||||
\(78\) | 12.1072 | − | 3.60423i | 1.37087 | − | 0.408099i | ||||
\(79\) | −6.23642 | + | 10.8018i | −0.701652 | + | 1.21530i | 0.266234 | + | 0.963909i | \(0.414221\pi\) |
−0.967886 | + | 0.251389i | \(0.919113\pi\) | |||||||
\(80\) | −3.67152 | − | 6.67519i | −0.410489 | − | 0.746309i | ||||
\(81\) | −2.83516 | + | 1.63688i | −0.315018 | + | 0.181876i | ||||
\(82\) | −1.67207 | − | 0.399021i | −0.184649 | − | 0.0440646i | ||||
\(83\) | −5.52119 | − | 2.28695i | −0.606030 | − | 0.251026i | 0.0585001 | − | 0.998287i | \(-0.481368\pi\) |
−0.664530 | + | 0.747262i | \(0.731368\pi\) | |||||||
\(84\) | 0.679230 | − | 6.81619i | 0.0741101 | − | 0.743707i | ||||
\(85\) | −0.759049 | − | 1.83251i | −0.0823304 | − | 0.198763i | ||||
\(86\) | −7.35895 | − | 5.33131i | −0.793536 | − | 0.574890i | ||||
\(87\) | −1.00366 | + | 3.74571i | −0.107604 | + | 0.401583i | ||||
\(88\) | −12.1130 | − | 7.79617i | −1.29125 | − | 0.831075i | ||||
\(89\) | 9.66427 | − | 2.58953i | 1.02441 | − | 0.274490i | 0.292772 | − | 0.956182i | \(-0.405422\pi\) |
0.731639 | + | 0.681692i | \(0.238756\pi\) | |||||||
\(90\) | −2.24840 | − | 2.76883i | −0.237002 | − | 0.291861i | ||||
\(91\) | −2.80761 | + | 18.0389i | −0.294317 | + | 1.89099i | ||||
\(92\) | 6.40528 | + | 1.34327i | 0.667797 | + | 0.140046i | ||||
\(93\) | 2.42349 | + | 3.15835i | 0.251304 | + | 0.327506i | ||||
\(94\) | −0.0574902 | − | 2.08693i | −0.00592967 | − | 0.215250i | ||||
\(95\) | 2.34886 | − | 1.35611i | 0.240988 | − | 0.139134i | ||||
\(96\) | 1.84713 | − | 7.08611i | 0.188522 | − | 0.723223i | ||||
\(97\) | 8.78032i | 0.891506i | 0.895156 | + | 0.445753i | \(0.147064\pi\) | ||||
−0.895156 | + | 0.445753i | \(0.852936\pi\) | |||||||
\(98\) | 8.47524 | + | 5.11569i | 0.856129 | + | 0.516763i | ||||
\(99\) | −6.23084 | − | 2.58090i | −0.626223 | − | 0.259390i | ||||
\(100\) | 1.83135 | − | 2.04509i | 0.183135 | − | 0.204509i | ||||
\(101\) | 1.10407 | − | 1.43885i | 0.109859 | − | 0.143171i | −0.735188 | − | 0.677864i | \(-0.762906\pi\) |
0.845047 | + | 0.534693i | \(0.179573\pi\) | |||||||
\(102\) | 0.680836 | − | 1.78088i | 0.0674128 | − | 0.176333i | ||||
\(103\) | 0.893268 | + | 3.33372i | 0.0880163 | + | 0.328481i | 0.995868 | − | 0.0908095i | \(-0.0289454\pi\) |
−0.907852 | + | 0.419291i | \(0.862279\pi\) | |||||||
\(104\) | −5.95511 | + | 18.5858i | −0.583947 | + | 1.82249i | ||||
\(105\) | −6.33877 | + | 1.53976i | −0.618601 | + | 0.150265i | ||||
\(106\) | 12.0433 | + | 1.24923i | 1.16975 | + | 0.121336i | ||||
\(107\) | −0.550312 | + | 4.18003i | −0.0532007 | + | 0.404099i | 0.944038 | + | 0.329837i | \(0.106994\pi\) |
−0.997239 | + | 0.0742626i | \(0.976340\pi\) | |||||||
\(108\) | 0.848014 | − | 11.1634i | 0.0816002 | − | 1.07420i | ||||
\(109\) | 0.475990 | + | 3.61550i | 0.0455916 | + | 0.346302i | 0.999004 | + | 0.0446310i | \(0.0142112\pi\) |
−0.953412 | + | 0.301671i | \(0.902455\pi\) | |||||||
\(110\) | −3.18419 | + | 13.3431i | −0.303600 | + | 1.27221i | ||||
\(111\) | − | 12.8972i | − | 1.22415i | ||||||
\(112\) | 8.10292 | + | 6.80754i | 0.765654 | + | 0.643252i | ||||
\(113\) | 12.3773i | 1.16436i | 0.813061 | + | 0.582178i | \(0.197800\pi\) | ||||
−0.813061 | + | 0.582178i | \(0.802200\pi\) | |||||||
\(114\) | 2.53586 | + | 0.605156i | 0.237505 | + | 0.0566781i | ||||
\(115\) | −0.813485 | − | 6.17903i | −0.0758578 | − | 0.576197i | ||||
\(116\) | −3.90335 | − | 4.54513i | −0.362417 | − | 0.422004i | ||||
\(117\) | −1.19266 | + | 9.05915i | −0.110261 | + | 0.837519i | ||||
\(118\) | −1.64309 | + | 15.8403i | −0.151259 | + | 1.45822i | ||||
\(119\) | 1.90202 | + | 1.99360i | 0.174358 | + | 0.182753i | ||||
\(120\) | −6.94970 | + | 0.575511i | −0.634418 | + | 0.0525367i | ||||
\(121\) | 3.86630 | + | 14.4292i | 0.351482 | + | 1.31175i | ||||
\(122\) | −17.0759 | − | 6.52819i | −1.54598 | − | 0.591035i | ||||
\(123\) | −0.957901 | + | 1.24836i | −0.0863710 | + | 0.112561i | ||||
\(124\) | −6.14124 | + | 0.338612i | −0.551500 | + | 0.0304083i | ||||
\(125\) | −11.2132 | − | 4.64466i | −1.00294 | − | 0.415431i | ||||
\(126\) | 4.30094 | + | 2.46005i | 0.383158 | + | 0.219159i | ||||
\(127\) | 2.70749i | 0.240251i | 0.992759 | + | 0.120126i | \(0.0383297\pi\) | ||||
−0.992759 | + | 0.120126i | \(0.961670\pi\) | |||||||
\(128\) | 7.42928 | + | 8.53263i | 0.656662 | + | 0.754185i | ||||
\(129\) | −7.20366 | + | 4.15904i | −0.634247 | + | 0.366183i | ||||
\(130\) | 18.5783 | − | 0.511790i | 1.62942 | − | 0.0448869i | ||||
\(131\) | −2.86798 | − | 3.73762i | −0.250577 | − | 0.326558i | 0.651081 | − | 0.759008i | \(-0.274316\pi\) |
−0.901658 | + | 0.432450i | \(0.857649\pi\) | |||||||
\(132\) | −11.0390 | + | 7.21160i | −0.960822 | + | 0.627689i | ||||
\(133\) | −2.36325 | + | 2.93440i | −0.204920 | + | 0.254444i | ||||
\(134\) | −10.4282 | + | 8.46811i | −0.900859 | + | 0.731533i | ||||
\(135\) | −10.2981 | + | 2.75937i | −0.886320 | + | 0.237489i | ||||
\(136\) | 1.67832 | + | 2.42074i | 0.143915 | + | 0.207577i | ||||
\(137\) | 0.744450 | − | 2.77832i | 0.0636026 | − | 0.237368i | −0.926805 | − | 0.375542i | \(-0.877457\pi\) |
0.990408 | + | 0.138174i | \(0.0441233\pi\) | |||||||
\(138\) | 3.51465 | − | 4.85137i | 0.299187 | − | 0.412976i | ||||
\(139\) | −4.39928 | − | 10.6208i | −0.373142 | − | 0.900844i | −0.993214 | − | 0.116300i | \(-0.962897\pi\) |
0.620072 | − | 0.784545i | \(-0.287103\pi\) | |||||||
\(140\) | 3.56081 | − | 9.42802i | 0.300943 | − | 0.796813i | ||||
\(141\) | −1.76555 | − | 0.731316i | −0.148686 | − | 0.0615880i | ||||
\(142\) | 3.81822 | − | 15.9999i | 0.320418 | − | 1.34268i | ||||
\(143\) | 30.4340 | − | 17.5711i | 2.54502 | − | 1.46937i | ||||
\(144\) | 4.13454 | + | 3.31099i | 0.344545 | + | 0.275915i | ||||
\(145\) | −2.85266 | + | 4.94095i | −0.236901 | + | 0.410324i | ||||
\(146\) | 0.729999 | + | 2.45217i | 0.0604151 | + | 0.202943i | ||||
\(147\) | 7.44034 | − | 5.17246i | 0.613669 | − | 0.426617i | ||||
\(148\) | 16.4521 | + | 11.2414i | 1.35236 | + | 0.924039i | ||||
\(149\) | −2.61976 | − | 0.344898i | −0.214619 | − | 0.0282551i | 0.0224499 | − | 0.999748i | \(-0.492853\pi\) |
−0.237069 | + | 0.971493i | \(0.576187\pi\) | |||||||
\(150\) | −1.02520 | − | 2.29423i | −0.0837071 | − | 0.187323i | ||||
\(151\) | −1.27553 | − | 0.341777i | −0.103801 | − | 0.0278134i | 0.206545 | − | 0.978437i | \(-0.433778\pi\) |
−0.310346 | + | 0.950624i | \(0.600445\pi\) | |||||||
\(152\) | −2.98225 | + | 2.70736i | −0.241892 | + | 0.219596i | ||||
\(153\) | 0.975167 | + | 0.975167i | 0.0788376 | + | 0.0788376i | ||||
\(154\) | −2.56358 | − | 18.8829i | −0.206579 | − | 1.52163i | ||||
\(155\) | 2.24142 | + | 5.41126i | 0.180035 | + | 0.434643i | ||||
\(156\) | 13.3086 | + | 11.9176i | 1.06554 | + | 0.954175i | ||||
\(157\) | 3.12087 | + | 23.7053i | 0.249072 | + | 1.89189i | 0.421434 | + | 0.906859i | \(0.361527\pi\) |
−0.172362 | + | 0.985034i | \(0.555140\pi\) | |||||||
\(158\) | −17.6326 | + | 0.485738i | −1.40277 | + | 0.0386432i | ||||
\(159\) | 5.54156 | − | 9.59826i | 0.439474 | − | 0.761191i | ||||
\(160\) | 5.32333 | − | 9.36689i | 0.420846 | − | 0.740518i | ||||
\(161\) | 4.15146 | + | 7.59747i | 0.327181 | + | 0.598764i | ||||
\(162\) | −4.07175 | − | 2.20361i | −0.319907 | − | 0.173132i | ||||
\(163\) | 4.45255 | − | 3.41656i | 0.348751 | − | 0.267606i | −0.419499 | − | 0.907756i | \(-0.637794\pi\) |
0.768250 | + | 0.640150i | \(0.221128\pi\) | |||||||
\(164\) | −0.757528 | − | 2.31002i | −0.0591530 | − | 0.180382i | ||||
\(165\) | 9.96190 | + | 7.64403i | 0.775533 | + | 0.595087i | ||||
\(166\) | −1.33346 | − | 8.34562i | −0.103497 | − | 0.647746i | ||||
\(167\) | 8.02123 | − | 8.02123i | 0.620702 | − | 0.620702i | −0.325009 | − | 0.945711i | \(-0.605367\pi\) |
0.945711 | + | 0.325009i | \(0.105367\pi\) | |||||||
\(168\) | 8.71521 | − | 4.22949i | 0.672393 | − | 0.326312i | ||||
\(169\) | −24.4743 | − | 24.4743i | −1.88264 | − | 1.88264i | ||||
\(170\) | 1.64569 | − | 2.27160i | 0.126219 | − | 0.174224i | ||||
\(171\) | −1.14799 | + | 1.49608i | −0.0877887 | + | 0.114408i | ||||
\(172\) | 0.973423 | − | 12.8143i | 0.0742228 | − | 0.977082i | ||||
\(173\) | 1.47489 | + | 1.92212i | 0.112134 | + | 0.146136i | 0.846048 | − | 0.533106i | \(-0.178975\pi\) |
−0.733914 | + | 0.679242i | \(0.762309\pi\) | |||||||
\(174\) | −5.25615 | + | 1.56472i | −0.398467 | + | 0.118621i | ||||
\(175\) | 3.63058 | + | 0.0853472i | 0.274446 | + | 0.00645164i | ||||
\(176\) | 0.422411 | − | 20.3675i | 0.0318404 | − | 1.53525i | ||||
\(177\) | 12.6244 | + | 7.28870i | 0.948908 | + | 0.547853i | ||||
\(178\) | 10.2769 | + | 9.72588i | 0.770287 | + | 0.728986i | ||||
\(179\) | −10.9532 | + | 1.44202i | −0.818681 | + | 0.107781i | −0.528222 | − | 0.849106i | \(-0.677141\pi\) |
−0.290459 | + | 0.956888i | \(0.593808\pi\) | |||||||
\(180\) | 1.67083 | − | 4.75939i | 0.124536 | − | 0.354744i | ||||
\(181\) | −2.76075 | + | 1.14354i | −0.205205 | + | 0.0849987i | −0.482919 | − | 0.875665i | \(-0.660423\pi\) |
0.277714 | + | 0.960664i | \(0.410423\pi\) | |||||||
\(182\) | −23.8126 | + | 9.97632i | −1.76511 | + | 0.739494i | ||||
\(183\) | −11.8327 | + | 11.8327i | −0.874700 | + | 0.874700i | ||||
\(184\) | 3.12514 | + | 8.71192i | 0.230388 | + | 0.642252i | ||||
\(185\) | 4.91113 | − | 18.3286i | 0.361074 | − | 1.34754i | ||||
\(186\) | −2.01046 | + | 5.25880i | −0.147414 | + | 0.385594i | ||||
\(187\) | 0.692310 | − | 5.25862i | 0.0506267 | − | 0.384548i | ||||
\(188\) | 2.47178 | − | 1.61477i | 0.180273 | − | 0.117769i | ||||
\(189\) | 11.9585 | − | 8.73734i | 0.869851 | − | 0.635548i | ||||
\(190\) | 3.37334 | + | 1.82563i | 0.244727 | + | 0.132445i | ||||
\(191\) | −5.51336 | − | 3.18314i | −0.398933 | − | 0.230324i | 0.287090 | − | 0.957903i | \(-0.407312\pi\) |
−0.686023 | + | 0.727579i | \(0.740645\pi\) | |||||||
\(192\) | 9.90533 | − | 3.02228i | 0.714856 | − | 0.218114i | ||||
\(193\) | −0.647141 | − | 1.12088i | −0.0465823 | − | 0.0806828i | 0.841794 | − | 0.539799i | \(-0.181500\pi\) |
−0.888376 | + | 0.459116i | \(0.848166\pi\) | |||||||
\(194\) | −10.5786 | + | 6.50239i | −0.759499 | + | 0.466845i | ||||
\(195\) | 6.51033 | − | 15.7173i | 0.466214 | − | 1.12554i | ||||
\(196\) | 0.113042 | + | 13.9995i | 0.00807441 | + | 0.999967i | ||||
\(197\) | −1.64133 | + | 0.679859i | −0.116940 | + | 0.0484380i | −0.440386 | − | 0.897808i | \(-0.645158\pi\) |
0.323446 | + | 0.946246i | \(0.395158\pi\) | |||||||
\(198\) | −1.50485 | − | 9.41829i | −0.106945 | − | 0.669329i | ||||
\(199\) | 8.92924 | + | 2.39258i | 0.632977 | + | 0.169606i | 0.561020 | − | 0.827802i | \(-0.310409\pi\) |
0.0719569 | + | 0.997408i | \(0.477076\pi\) | |||||||
\(200\) | 3.82017 | + | 0.691907i | 0.270127 | + | 0.0489252i | ||||
\(201\) | 3.18255 | + | 11.8774i | 0.224480 | + | 0.837770i | ||||
\(202\) | 2.55118 | + | 0.264630i | 0.179500 | + | 0.0186193i | ||||
\(203\) | 1.21888 | − | 7.83131i | 0.0855487 | − | 0.549650i | ||||
\(204\) | 2.64982 | − | 0.498579i | 0.185525 | − | 0.0349075i | ||||
\(205\) | −1.83666 | + | 1.40932i | −0.128278 | + | 0.0984312i | ||||
\(206\) | −3.35497 | + | 3.54505i | −0.233752 | + | 0.246996i | ||||
\(207\) | 2.16663 | + | 3.75272i | 0.150592 | + | 0.260832i | ||||
\(208\) | −26.8025 | + | 6.58922i | −1.85842 | + | 0.456880i | ||||
\(209\) | 7.25268 | 0.501678 | ||||||||
\(210\) | −6.54939 | − | 6.49672i | −0.451951 | − | 0.448316i | ||||
\(211\) | 7.65203 | − | 18.4736i | 0.526788 | − | 1.27178i | −0.406829 | − | 0.913504i | \(-0.633365\pi\) |
0.933617 | − | 0.358274i | \(-0.116635\pi\) | |||||||
\(212\) | 7.41374 | + | 15.4350i | 0.509178 | + | 1.06008i | ||||
\(213\) | −11.9455 | − | 9.16611i | −0.818493 | − | 0.628052i | ||||
\(214\) | −5.44368 | + | 2.43257i | −0.372123 | + | 0.166287i | ||||
\(215\) | −11.8210 | + | 3.16744i | −0.806188 | + | 0.216017i | ||||
\(216\) | 14.0778 | − | 7.24553i | 0.957871 | − | 0.492996i | ||||
\(217\) | −5.61653 | − | 5.88696i | −0.381275 | − | 0.399633i | ||||
\(218\) | −4.00349 | + | 3.25099i | −0.271150 | + | 0.220185i | ||||
\(219\) | 2.32194 | + | 0.305690i | 0.156902 | + | 0.0206566i | ||||
\(220\) | −18.4339 | + | 6.04506i | −1.24282 | + | 0.407558i | ||||
\(221\) | −7.12458 | + | 0.937969i | −0.479251 | + | 0.0630946i | ||||
\(222\) | 15.5387 | − | 9.55123i | 1.04289 | − | 0.641036i | ||||
\(223\) | −5.44239 | −0.364449 | −0.182225 | − | 0.983257i | \(-0.558330\pi\) | ||||
−0.182225 | + | 0.983257i | \(0.558330\pi\) | |||||||
\(224\) | −2.20105 | + | 14.8039i | −0.147064 | + | 0.989127i | ||||
\(225\) | 1.81764 | 0.121176 | ||||||||
\(226\) | −14.9123 | + | 9.16618i | −0.991949 | + | 0.609725i | ||||
\(227\) | 0.212579 | − | 0.0279866i | 0.0141094 | − | 0.00185754i | −0.123468 | − | 0.992349i | \(-0.539402\pi\) |
0.137578 | + | 0.990491i | \(0.456068\pi\) | |||||||
\(228\) | 1.14887 | + | 3.50338i | 0.0760856 | + | 0.232017i | ||||
\(229\) | 21.1667 | + | 2.78665i | 1.39874 | + | 0.184147i | 0.791885 | − | 0.610670i | \(-0.209100\pi\) |
0.606850 | + | 0.794817i | \(0.292433\pi\) | |||||||
\(230\) | 6.84211 | − | 5.55607i | 0.451155 | − | 0.366356i | ||||
\(231\) | −16.7381 | − | 4.90937i | −1.10129 | − | 0.323013i | ||||
\(232\) | 2.58532 | − | 8.06875i | 0.169735 | − | 0.529739i | ||||
\(233\) | 3.90806 | − | 1.04716i | 0.256025 | − | 0.0686017i | −0.128523 | − | 0.991706i | \(-0.541024\pi\) |
0.384549 | + | 0.923105i | \(0.374357\pi\) | |||||||
\(234\) | −11.7978 | + | 5.27196i | −0.771245 | + | 0.344639i | ||||
\(235\) | −2.23060 | − | 1.71160i | −0.145508 | − | 0.111652i | ||||
\(236\) | −20.3013 | + | 9.75115i | −1.32150 | + | 0.634746i | ||||
\(237\) | −6.17893 | + | 14.9173i | −0.401365 | + | 0.968980i | ||||
\(238\) | −0.993336 | + | 3.76796i | −0.0643884 | + | 0.244241i | ||||
\(239\) | −2.73300 | −0.176783 | −0.0883915 | − | 0.996086i | \(-0.528173\pi\) | ||||
−0.0883915 | + | 0.996086i | \(0.528173\pi\) | |||||||
\(240\) | −5.84009 | − | 7.94686i | −0.376976 | − | 0.512968i | ||||
\(241\) | −7.50863 | − | 13.0053i | −0.483673 | − | 0.837747i | 0.516151 | − | 0.856498i | \(-0.327364\pi\) |
−0.999824 | + | 0.0187508i | \(0.994031\pi\) | |||||||
\(242\) | −14.5212 | + | 15.3439i | −0.933458 | + | 0.986345i | ||||
\(243\) | 9.96087 | − | 7.64325i | 0.638990 | − | 0.490315i | ||||
\(244\) | −4.78062 | − | 25.4078i | −0.306048 | − | 1.62657i | ||||
\(245\) | 12.5433 | − | 4.51752i | 0.801362 | − | 0.288614i | ||||
\(246\) | −2.21342 | − | 0.229595i | −0.141123 | − | 0.0146384i | ||||
\(247\) | −2.54321 | − | 9.49140i | −0.161821 | − | 0.603923i | ||||
\(248\) | −4.95595 | − | 7.14826i | −0.314703 | − | 0.453915i | ||||
\(249\) | −7.47256 | − | 2.00227i | −0.473554 | − | 0.126889i | ||||
\(250\) | −2.70818 | − | 16.9494i | −0.171280 | − | 1.07198i | ||||
\(251\) | 22.8325 | − | 9.45753i | 1.44117 | − | 0.596954i | 0.481092 | − | 0.876670i | \(-0.340240\pi\) |
0.960083 | + | 0.279716i | \(0.0902404\pi\) | |||||||
\(252\) | 0.221235 | + | 7.00364i | 0.0139365 | + | 0.441188i | ||||
\(253\) | 6.37770 | − | 15.3971i | 0.400963 | − | 0.968010i | ||||
\(254\) | −3.26201 | + | 2.00507i | −0.204677 | + | 0.125810i | ||||
\(255\) | −1.28383 | − | 2.22366i | −0.0803967 | − | 0.139251i | ||||
\(256\) | −4.77832 | + | 15.2698i | −0.298645 | + | 0.954364i | ||||
\(257\) | 11.9243 | + | 6.88450i | 0.743818 | + | 0.429443i | 0.823456 | − | 0.567380i | \(-0.192043\pi\) |
−0.0796379 | + | 0.996824i | \(0.525376\pi\) | |||||||
\(258\) | −10.3456 | − | 5.59900i | −0.644090 | − | 0.348578i | ||||
\(259\) | 2.82547 | + | 26.2076i | 0.175566 | + | 1.62846i | ||||
\(260\) | 14.3750 | + | 22.0042i | 0.891501 | + | 1.36465i | ||||
\(261\) | 0.517776 | − | 3.93290i | 0.0320495 | − | 0.243440i | ||||
\(262\) | 2.37920 | − | 6.22332i | 0.146987 | − | 0.384478i | ||||
\(263\) | 3.40199 | − | 12.6964i | 0.209776 | − | 0.782894i | −0.778165 | − | 0.628060i | \(-0.783849\pi\) |
0.987941 | − | 0.154834i | \(-0.0494843\pi\) | |||||||
\(264\) | −16.8637 | − | 7.95922i | −1.03789 | − | 0.489856i | ||||
\(265\) | 11.5302 | − | 11.5302i | 0.708293 | − | 0.708293i | ||||
\(266\) | −5.28553 | − | 0.674155i | −0.324076 | − | 0.0413351i | ||||
\(267\) | 11.9660 | − | 4.95648i | 0.732307 | − | 0.303332i | ||||
\(268\) | −17.9252 | − | 6.29280i | −1.09496 | − | 0.384394i | ||||
\(269\) | −6.56368 | + | 0.864124i | −0.400194 | + | 0.0526866i | −0.327937 | − | 0.944699i | \(-0.606354\pi\) |
−0.0722570 | + | 0.997386i | \(0.523020\pi\) | |||||||
\(270\) | −10.9509 | − | 10.3638i | −0.666452 | − | 0.630718i | ||||
\(271\) | 20.6375 | + | 11.9151i | 1.25364 | + | 0.723789i | 0.971830 | − | 0.235681i | \(-0.0757320\pi\) |
0.281809 | + | 0.959470i | \(0.409065\pi\) | |||||||
\(272\) | −1.67362 | + | 3.81477i | −0.101478 | + | 0.231304i | ||||
\(273\) | −0.555403 | + | 23.6263i | −0.0336145 | + | 1.42993i | ||||
\(274\) | 3.89866 | − | 1.16061i | 0.235527 | − | 0.0701150i | ||||
\(275\) | −4.25563 | − | 5.54605i | −0.256624 | − | 0.334439i | ||||
\(276\) | 8.44779 | + | 0.641726i | 0.508497 | + | 0.0386273i | ||||
\(277\) | 6.06464 | − | 7.90359i | 0.364389 | − | 0.474881i | −0.574794 | − | 0.818298i | \(-0.694918\pi\) |
0.939183 | + | 0.343417i | \(0.111585\pi\) | |||||||
\(278\) | 9.53808 | − | 13.1657i | 0.572056 | − | 0.789625i | ||||
\(279\) | −2.87960 | − | 2.87960i | −0.172397 | − | 0.172397i | ||||
\(280\) | 13.9960 | − | 2.69197i | 0.836419 | − | 0.160876i | ||||
\(281\) | −17.1617 | + | 17.1617i | −1.02378 | + | 1.02378i | −0.0240710 | + | 0.999710i | \(0.507663\pi\) |
−0.999710 | + | 0.0240710i | \(0.992337\pi\) | |||||||
\(282\) | −0.426411 | − | 2.66874i | −0.0253924 | − | 0.158921i | ||||
\(283\) | −11.7375 | − | 9.00651i | −0.697723 | − | 0.535382i | 0.197885 | − | 0.980225i | \(-0.436593\pi\) |
−0.895608 | + | 0.444844i | \(0.853259\pi\) | |||||||
\(284\) | 22.1045 | − | 7.24875i | 1.31166 | − | 0.430134i | ||||
\(285\) | 2.78548 | − | 2.13738i | 0.164998 | − | 0.126607i | ||||
\(286\) | 43.7081 | + | 23.6546i | 2.58451 | + | 1.39873i | ||||
\(287\) | 1.67300 | − | 2.74657i | 0.0987543 | − | 0.162125i | ||||
\(288\) | −0.927207 | + | 7.43333i | −0.0546362 | + | 0.438013i | ||||
\(289\) | 7.95770 | − | 13.7831i | 0.468100 | − | 0.810773i | ||||
\(290\) | −8.06548 | + | 0.222186i | −0.473621 | + | 0.0130472i | ||||
\(291\) | 1.48360 | + | 11.2690i | 0.0869700 | + | 0.660603i | ||||
\(292\) | −2.41379 | + | 2.69550i | −0.141256 | + | 0.157742i | ||||
\(293\) | −10.4831 | − | 25.3085i | −0.612430 | − | 1.47854i | −0.860323 | − | 0.509750i | \(-0.829738\pi\) |
0.247892 | − | 0.968788i | \(-0.420262\pi\) | |||||||
\(294\) | 11.7419 | + | 5.13365i | 0.684801 | + | 0.299400i | ||||
\(295\) | 15.1654 | + | 15.1654i | 0.882965 | + | 0.882965i | ||||
\(296\) | −1.35990 | + | 28.1467i | −0.0790427 | + | 1.63599i | ||||
\(297\) | −27.5379 | − | 7.37875i | −1.59791 | − | 0.428158i | ||||
\(298\) | −1.52456 | − | 3.41173i | −0.0883157 | − | 0.197636i | ||||
\(299\) | −22.3862 | − | 2.94720i | −1.29463 | − | 0.170441i | ||||
\(300\) | 2.00488 | − | 2.93419i | 0.115752 | − | 0.169406i | ||||
\(301\) | 13.7270 | − | 10.0295i | 0.791209 | − | 0.578089i | ||||
\(302\) | −0.532836 | − | 1.78988i | −0.0306613 | − | 0.102996i | ||||
\(303\) | 1.17389 | − | 2.03324i | 0.0674382 | − | 0.116806i | ||||
\(304\) | −5.47040 | − | 1.58807i | −0.313749 | − | 0.0910818i | ||||
\(305\) | −21.3216 | + | 12.3100i | −1.22087 | + | 0.704870i | ||||
\(306\) | −0.452715 | + | 1.89706i | −0.0258800 | + | 0.108448i | ||||
\(307\) | 1.05530 | + | 0.437118i | 0.0602290 | + | 0.0249477i | 0.412595 | − | 0.910915i | \(-0.364623\pi\) |
−0.352366 | + | 0.935862i | \(0.614623\pi\) | |||||||
\(308\) | 20.8518 | − | 17.0726i | 1.18814 | − | 0.972803i | ||||
\(309\) | 1.70975 | + | 4.12771i | 0.0972644 | + | 0.234817i | ||||
\(310\) | −4.85961 | + | 6.70786i | −0.276008 | + | 0.380981i | ||||
\(311\) | 1.88802 | − | 7.04619i | 0.107060 | − | 0.399553i | −0.891511 | − | 0.452999i | \(-0.850354\pi\) |
0.998571 | + | 0.0534464i | \(0.0170206\pi\) | |||||||
\(312\) | −4.50264 | + | 24.8600i | −0.254912 | + | 1.40742i | ||||
\(313\) | 5.62674 | − | 1.50768i | 0.318042 | − | 0.0852192i | −0.0962664 | − | 0.995356i | \(-0.530690\pi\) |
0.414309 | + | 0.910136i | \(0.364023\pi\) | |||||||
\(314\) | −26.2492 | + | 21.3154i | −1.48133 | + | 1.20290i | ||||
\(315\) | 6.22316 | − | 2.40798i | 0.350635 | − | 0.135674i | ||||
\(316\) | −13.6433 | − | 20.8842i | −0.767495 | − | 1.17483i | ||||
\(317\) | 12.4289 | + | 16.1977i | 0.698078 | + | 0.909753i | 0.999037 | − | 0.0438839i | \(-0.0139732\pi\) |
−0.300958 | + | 0.953637i | \(0.597307\pi\) | |||||||
\(318\) | 15.6679 | − | 0.431617i | 0.878615 | − | 0.0242039i | ||||
\(319\) | −13.2125 | + | 7.62822i | −0.739756 | + | 0.427098i | ||||
\(320\) | 15.2276 | − | 0.523198i | 0.851248 | − | 0.0292477i | ||||
\(321\) | 5.45782i | 0.304626i | ||||||||
\(322\) | −6.07907 | + | 10.6281i | −0.338774 | + | 0.592282i | ||||
\(323\) | −1.37018 | − | 0.567546i | −0.0762387 | − | 0.0315791i | ||||
\(324\) | −0.360466 | − | 6.53760i | −0.0200259 | − | 0.363200i | ||||
\(325\) | −5.76569 | + | 7.51400i | −0.319823 | + | 0.416802i | ||||
\(326\) | 7.41371 | + | 2.83429i | 0.410607 | + | 0.156977i | ||||
\(327\) | 1.22181 | + | 4.55987i | 0.0675664 | + | 0.252161i | ||||
\(328\) | 2.22213 | − | 2.62340i | 0.122697 | − | 0.144853i | ||||
\(329\) | 3.74788 | + | 1.09927i | 0.206628 | + | 0.0606048i | ||||
\(330\) | −1.83217 | + | 17.6631i | −0.100857 | + | 0.972321i | ||||
\(331\) | −3.57924 | + | 27.1870i | −0.196733 | + | 1.49433i | 0.553328 | + | 0.832963i | \(0.313358\pi\) |
−0.750061 | + | 0.661369i | \(0.769976\pi\) | |||||||
\(332\) | 9.06736 | − | 7.78704i | 0.497636 | − | 0.427369i | ||||
\(333\) | 1.72205 | + | 13.0803i | 0.0943680 | + | 0.716796i | ||||
\(334\) | 15.6043 | + | 3.72381i | 0.853829 | + | 0.203758i | ||||
\(335\) | 18.0912i | 0.988429i | ||||||||
\(336\) | 11.5499 | + | 7.36796i | 0.630099 | + | 0.401955i | ||||
\(337\) | − | 16.1002i | − | 0.877036i | −0.898722 | − | 0.438518i | \(-0.855503\pi\) | ||
0.898722 | − | 0.438518i | \(-0.144497\pi\) | |||||||
\(338\) | 11.3620 | − | 47.6117i | 0.618014 | − | 2.58973i | ||||
\(339\) | 2.09137 | + | 15.8855i | 0.113588 | + | 0.862784i | ||||
\(340\) | 3.95558 | + | 0.300481i | 0.214522 | + | 0.0162959i | ||||
\(341\) | −2.04434 | + | 15.5283i | −0.110707 | + | 0.840905i | ||||
\(342\) | −2.65265 | − | 0.275156i | −0.143439 | − | 0.0148787i | ||||
\(343\) | −13.9859 | + | 12.1406i | −0.755167 | + | 0.655532i | ||||
\(344\) | 16.1597 | − | 8.31704i | 0.871271 | − | 0.448425i | ||||
\(345\) | −2.08812 | − | 7.79298i | −0.112421 | − | 0.419560i | ||||
\(346\) | −1.22353 | + | 3.20041i | −0.0657773 | + | 0.172055i | ||||
\(347\) | 10.2210 | − | 13.3202i | 0.548691 | − | 0.715068i | −0.433877 | − | 0.900972i | \(-0.642855\pi\) |
0.982568 | + | 0.185904i | \(0.0595214\pi\) | |||||||
\(348\) | −5.77771 | − | 5.17387i | −0.309718 | − | 0.277348i | ||||
\(349\) | 15.7087 | + | 6.50674i | 0.840865 | + | 0.348298i | 0.761195 | − | 0.648523i | \(-0.224613\pi\) |
0.0796707 | + | 0.996821i | \(0.474613\pi\) | |||||||
\(350\) | 2.58585 | + | 4.43736i | 0.138220 | + | 0.237187i | ||||
\(351\) | 38.6255i | 2.06168i | ||||||||
\(352\) | 24.8517 | − | 14.5745i | 1.32460 | − | 0.776823i | ||||
\(353\) | 12.0664 | − | 6.96653i | 0.642229 | − | 0.370791i | −0.143244 | − | 0.989687i | \(-0.545753\pi\) |
0.785473 | + | 0.618897i | \(0.212420\pi\) | |||||||
\(354\) | 0.567697 | + | 20.6077i | 0.0301728 | + | 1.09529i | ||||
\(355\) | −13.4857 | − | 17.5749i | −0.715748 | − | 0.932781i | ||||
\(356\) | −4.10711 | + | 19.5844i | −0.217676 | + | 1.03797i | ||||
\(357\) | 2.77799 | + | 2.23729i | 0.147027 | + | 0.118410i | ||||
\(358\) | −9.84891 | − | 12.1286i | −0.520531 | − | 0.641017i | ||||
\(359\) | −28.3121 | + | 7.58620i | −1.49426 | + | 0.400384i | −0.911171 | − | 0.412028i | \(-0.864821\pi\) |
−0.583084 | + | 0.812412i | \(0.698154\pi\) | |||||||
\(360\) | 6.97151 | − | 1.51161i | 0.367431 | − | 0.0796691i | ||||
\(361\) | −4.39269 | + | 16.3937i | −0.231194 | + | 0.862829i | ||||
\(362\) | −3.42226 | − | 2.47931i | −0.179870 | − | 0.130310i | ||||
\(363\) | 7.40026 | + | 17.8658i | 0.388413 | + | 0.937711i | ||||
\(364\) | −29.6543 | − | 21.3015i | −1.55431 | − | 1.11650i | ||||
\(365\) | 3.18337 | + | 1.31860i | 0.166625 | + | 0.0690185i | ||||
\(366\) | −23.0191 | − | 5.49327i | −1.20323 | − | 0.287138i | ||||
\(367\) | −10.1024 | + | 5.83264i | −0.527343 | + | 0.304462i | −0.739934 | − | 0.672680i | \(-0.765143\pi\) |
0.212591 | + | 0.977141i | \(0.431810\pi\) | |||||||
\(368\) | −8.18183 | + | 10.2169i | −0.426508 | + | 0.532595i | ||||
\(369\) | 0.804816 | − | 1.39398i | 0.0418970 | − | 0.0725678i | ||||
\(370\) | 25.7195 | − | 7.65654i | 1.33709 | − | 0.398044i | ||||
\(371\) | −9.15790 | + | 20.7180i | −0.475454 | + | 1.07563i | ||||
\(372\) | −7.82472 | + | 1.47227i | −0.405693 | + | 0.0763335i | ||||
\(373\) | −2.57965 | − | 0.339617i | −0.133569 | − | 0.0175847i | 0.0634451 | − | 0.997985i | \(-0.479791\pi\) |
−0.197014 | + | 0.980401i | \(0.563125\pi\) | |||||||
\(374\) | 6.84833 | − | 3.06025i | 0.354119 | − | 0.158242i | ||||
\(375\) | −15.1763 | − | 4.06648i | −0.783702 | − | 0.209992i | ||||
\(376\) | 3.77600 | + | 1.78217i | 0.194732 | + | 0.0919086i | ||||
\(377\) | 14.6159 | + | 14.6159i | 0.752757 | + | 0.752757i | ||||
\(378\) | 19.3829 | + | 7.93711i | 0.996946 | + | 0.408241i | ||||
\(379\) | 2.88601 | + | 6.96745i | 0.148244 | + | 0.357894i | 0.980506 | − | 0.196490i | \(-0.0629542\pi\) |
−0.832262 | + | 0.554383i | \(0.812954\pi\) | |||||||
\(380\) | 0.298636 | + | 5.41622i | 0.0153197 | + | 0.277846i | ||||
\(381\) | 0.457481 | + | 3.47491i | 0.0234375 | + | 0.178025i | ||||
\(382\) | −0.247926 | − | 8.99987i | −0.0126850 | − | 0.460473i | ||||
\(383\) | 11.5792 | − | 20.0558i | 0.591670 | − | 1.02480i | −0.402338 | − | 0.915491i | \(-0.631802\pi\) |
0.994008 | − | 0.109311i | \(-0.0348644\pi\) | |||||||
\(384\) | 10.9768 | + | 9.69583i | 0.560158 | + | 0.494788i | ||||
\(385\) | −21.9176 | − | 13.3505i | −1.11702 | − | 0.680407i | ||||
\(386\) | 0.871198 | − | 1.60977i | 0.0443428 | − | 0.0819350i | ||||
\(387\) | 6.75060 | − | 5.17992i | 0.343152 | − | 0.263310i | ||||
\(388\) | −15.6683 | − | 7.92975i | −0.795436 | − | 0.402572i | ||||
\(389\) | 19.0847 | + | 14.6442i | 0.967633 | + | 0.742491i | 0.966276 | − | 0.257508i | \(-0.0829015\pi\) |
0.00135666 | + | 0.999999i | \(0.499568\pi\) | |||||||
\(390\) | 23.7577 | − | 3.79600i | 1.20302 | − | 0.192218i | ||||
\(391\) | −2.40975 | + | 2.40975i | −0.121866 | + | 0.121866i | ||||
\(392\) | −16.7831 | + | 10.5038i | −0.847672 | + | 0.530520i | ||||
\(393\) | −4.31243 | − | 4.31243i | −0.217533 | − | 0.217533i | ||||
\(394\) | −2.03461 | − | 1.47400i | −0.102502 | − | 0.0742592i | ||||
\(395\) | −14.4614 | + | 18.8464i | −0.727631 | + | 0.948268i | ||||
\(396\) | 10.2328 | − | 8.78792i | 0.514218 | − | 0.441609i | ||||
\(397\) | −8.19865 | − | 10.6847i | −0.411479 | − | 0.536249i | 0.540932 | − | 0.841066i | \(-0.318071\pi\) |
−0.952411 | + | 0.304817i | \(0.901405\pi\) | |||||||
\(398\) | 3.73008 | + | 12.5299i | 0.186972 | + | 0.628067i | ||||
\(399\) | −2.53728 | + | 4.16545i | −0.127023 | + | 0.208533i | ||||
\(400\) | 1.99547 | + | 5.11497i | 0.0997734 | + | 0.255749i | ||||
\(401\) | −4.45802 | − | 2.57384i | −0.222623 | − | 0.128531i | 0.384541 | − | 0.923108i | \(-0.374360\pi\) |
−0.607164 | + | 0.794576i | \(0.707693\pi\) | |||||||
\(402\) | −11.9532 | + | 12.6304i | −0.596169 | + | 0.629946i | ||||
\(403\) | 21.0384 | − | 2.76975i | 1.04800 | − | 0.137971i | ||||
\(404\) | 1.57048 | + | 3.26965i | 0.0781345 | + | 0.162671i | ||||
\(405\) | −5.76050 | + | 2.38608i | −0.286241 | + | 0.118565i | ||||
\(406\) | 10.3379 | − | 4.33107i | 0.513061 | − | 0.214948i | ||||
\(407\) | 35.8792 | − | 35.8792i | 1.77847 | − | 1.77847i | ||||
\(408\) | 2.56306 | + | 2.82330i | 0.126890 | + | 0.139774i | ||||
\(409\) | −0.296281 | + | 1.10573i | −0.0146501 | + | 0.0546751i | −0.972864 | − | 0.231378i | \(-0.925677\pi\) |
0.958214 | + | 0.286053i | \(0.0923433\pi\) | |||||||
\(410\) | −3.05813 | − | 1.16913i | −0.151030 | − | 0.0577393i | ||||
\(411\) | 0.486010 | − | 3.69161i | 0.0239731 | − | 0.182094i | ||||
\(412\) | −6.75569 | − | 1.41676i | −0.332829 | − | 0.0697987i | ||||
\(413\) | −27.2500 | − | 12.0452i | −1.34089 | − | 0.592706i | ||||
\(414\) | −2.91678 | + | 5.38951i | −0.143352 | + | 0.264880i | ||||
\(415\) | −9.85702 | − | 5.69095i | −0.483862 | − | 0.279358i | ||||
\(416\) | −27.7877 | − | 27.4121i | −1.36240 | − | 1.34399i | ||||
\(417\) | −7.44080 | − | 12.8879i | −0.364378 | − | 0.631121i | ||||
\(418\) | 5.37108 | + | 8.73809i | 0.262708 | + | 0.427394i | ||||
\(419\) | 10.7109 | − | 25.8583i | 0.523261 | − | 1.26326i | −0.412606 | − | 0.910909i | \(-0.635382\pi\) |
0.935867 | − | 0.352353i | \(-0.114618\pi\) | |||||||
\(420\) | 2.97705 | − | 12.7020i | 0.145265 | − | 0.619794i | ||||
\(421\) | −10.9194 | + | 4.52297i | −0.532179 | + | 0.220436i | −0.632557 | − | 0.774514i | \(-0.717995\pi\) |
0.100378 | + | 0.994949i | \(0.467995\pi\) | |||||||
\(422\) | 27.9240 | − | 4.46169i | 1.35932 | − | 0.217192i | ||||
\(423\) | 1.88826 | + | 0.505959i | 0.0918105 | + | 0.0246005i | ||||
\(424\) | −13.1058 | + | 20.3627i | −0.636476 | + | 0.988902i | ||||
\(425\) | 0.369978 | + | 1.38078i | 0.0179466 | + | 0.0669775i | ||||
\(426\) | 2.19699 | − | 21.1801i | 0.106444 | − | 1.02618i | ||||
\(427\) | 21.4523 | − | 26.6368i | 1.03815 | − | 1.28904i | ||||
\(428\) | −6.96218 | − | 4.75712i | −0.336530 | − | 0.229944i | ||||
\(429\) | 36.0913 | − | 27.6938i | 1.74251 | − | 1.33707i | ||||
\(430\) | −12.5704 | − | 11.8964i | −0.606199 | − | 0.573695i | ||||
\(431\) | −16.1978 | − | 28.0554i | −0.780219 | − | 1.35138i | −0.931814 | − | 0.362937i | \(-0.881774\pi\) |
0.151595 | − | 0.988443i | \(-0.451559\pi\) | |||||||
\(432\) | 19.1550 | + | 11.5952i | 0.921595 | + | 0.557876i | ||||
\(433\) | −23.2185 | −1.11581 | −0.557905 | − | 0.829905i | \(-0.688395\pi\) | ||||
−0.557905 | + | 0.829905i | \(0.688395\pi\) | |||||||
\(434\) | 2.93325 | − | 11.1265i | 0.140800 | − | 0.534090i | ||||
\(435\) | −2.82636 | + | 6.82344i | −0.135514 | + | 0.327159i | ||||
\(436\) | −6.88166 | − | 2.41587i | −0.329572 | − | 0.115699i | ||||
\(437\) | −3.69700 | − | 2.83681i | −0.176852 | − | 0.135703i | ||||
\(438\) | 1.35125 | + | 3.02388i | 0.0645653 | + | 0.144487i | ||||
\(439\) | −19.8391 | + | 5.31588i | −0.946870 | + | 0.253713i | −0.699034 | − | 0.715089i | \(-0.746386\pi\) |
−0.247836 | + | 0.968802i | \(0.579720\pi\) | |||||||
\(440\) | −20.9347 | − | 17.7326i | −0.998021 | − | 0.845368i | ||||
\(441\) | −6.85533 | + | 6.23933i | −0.326444 | + | 0.297111i | ||||
\(442\) | −6.40629 | − | 7.88913i | −0.304716 | − | 0.375248i | ||||
\(443\) | −24.8805 | − | 3.27557i | −1.18211 | − | 0.155627i | −0.486258 | − | 0.873816i | \(-0.661638\pi\) |
−0.695849 | + | 0.718188i | \(0.744972\pi\) | |||||||
\(444\) | 23.0148 | + | 11.6478i | 1.09223 | + | 0.552782i | ||||
\(445\) | 18.8926 | − | 2.48726i | 0.895594 | − | 0.117907i | ||||
\(446\) | −4.03044 | − | 6.55704i | −0.190847 | − | 0.310485i | ||||
\(447\) | −3.42059 | −0.161788 | ||||||||
\(448\) | −19.4659 | + | 8.31141i | −0.919676 | + | 0.392677i | ||||
\(449\) | 20.2136 | 0.953938 | 0.476969 | − | 0.878920i | \(-0.341735\pi\) | ||||
0.476969 | + | 0.878920i | \(0.341735\pi\) | |||||||
\(450\) | 1.34608 | + | 2.18991i | 0.0634548 | + | 0.103233i | ||||
\(451\) | −6.13768 | + | 0.808040i | −0.289012 | + | 0.0380491i | ||||
\(452\) | −22.0870 | − | 11.1783i | −1.03888 | − | 0.525781i | ||||
\(453\) | −1.69482 | − | 0.223127i | −0.0796295 | − | 0.0104834i | ||||
\(454\) | 0.191147 | + | 0.235392i | 0.00897099 | + | 0.0110475i | ||||
\(455\) | −9.78594 | + | 33.3644i | −0.458772 | + | 1.56415i | ||||
\(456\) | −3.37009 | + | 3.97864i | −0.157819 | + | 0.186317i | ||||
\(457\) | 21.4011 | − | 5.73442i | 1.00110 | − | 0.268245i | 0.279196 | − | 0.960234i | \(-0.409932\pi\) |
0.721908 | + | 0.691989i | \(0.243266\pi\) | |||||||
\(458\) | 12.3179 | + | 27.5655i | 0.575579 | + | 1.28805i | ||||
\(459\) | 4.62504 | + | 3.54892i | 0.215879 | + | 0.165649i | ||||
\(460\) | 11.7610 | + | 4.12881i | 0.548360 | + | 0.192507i | ||||
\(461\) | −9.74244 | + | 23.5203i | −0.453751 | + | 1.09545i | 0.517134 | + | 0.855904i | \(0.326999\pi\) |
−0.970885 | + | 0.239546i | \(0.923001\pi\) | |||||||
\(462\) | −6.48082 | − | 23.8019i | −0.301515 | − | 1.10737i | ||||
\(463\) | −12.3133 | −0.572248 | −0.286124 | − | 0.958193i | \(-0.592367\pi\) | ||||
−0.286124 | + | 0.958193i | \(0.592367\pi\) | |||||||
\(464\) | 11.6359 | − | 2.86061i | 0.540183 | − | 0.132801i | ||||
\(465\) | 3.79106 | + | 6.56631i | 0.175806 | + | 0.304505i | ||||
\(466\) | 4.15580 | + | 3.93297i | 0.192514 | + | 0.182191i | ||||
\(467\) | 22.9315 | − | 17.5960i | 1.06114 | − | 0.814245i | 0.0779780 | − | 0.996955i | \(-0.475154\pi\) |
0.983167 | + | 0.182710i | \(0.0584869\pi\) | |||||||
\(468\) | −15.0887 | − | 10.3098i | −0.697477 | − | 0.476573i | ||||
\(469\) | −9.06912 | − | 23.4382i | −0.418773 | − | 1.08227i | ||||
\(470\) | 0.410246 | − | 3.95499i | 0.0189232 | − | 0.182430i | ||||
\(471\) | 8.01092 | + | 29.8971i | 0.369123 | + | 1.37759i | ||||
\(472\) | −26.7827 | − | 17.2379i | −1.23278 | − | 0.793437i | ||||
\(473\) | −31.6103 | − | 8.46995i | −1.45344 | − | 0.389449i | ||||
\(474\) | −22.5483 | + | 3.60277i | −1.03568 | + | 0.165481i | ||||
\(475\) | −1.80589 | + | 0.748023i | −0.0828598 | + | 0.0343216i | ||||
\(476\) | −5.27531 | + | 1.59364i | −0.241793 | + | 0.0730444i | ||||
\(477\) | −4.33865 | + | 10.4744i | −0.198653 | + | 0.479591i | ||||
\(478\) | −2.02396 | − | 3.29274i | −0.0925739 | − | 0.150606i | ||||
\(479\) | 10.5049 | + | 18.1950i | 0.479980 | + | 0.831350i | 0.999736 | − | 0.0229647i | \(-0.00731053\pi\) |
−0.519756 | + | 0.854315i | \(0.673977\pi\) | |||||||
\(480\) | 5.24948 | − | 12.9214i | 0.239605 | − | 0.589776i | ||||
\(481\) | −59.5356 | − | 34.3729i | −2.71459 | − | 1.56727i | ||||
\(482\) | 10.1083 | − | 18.6778i | 0.460421 | − | 0.850748i | ||||
\(483\) | 6.61189 | + | 9.04945i | 0.300851 | + | 0.411764i | ||||
\(484\) | −29.2404 | − | 6.13210i | −1.32911 | − | 0.278732i | ||||
\(485\) | −2.18276 | + | 16.5797i | −0.0991138 | + | 0.752844i | ||||
\(486\) | 16.5853 | + | 6.34063i | 0.752326 | + | 0.287617i | ||||
\(487\) | −2.34437 | + | 8.74932i | −0.106234 | + | 0.396469i | −0.998482 | − | 0.0550752i | \(-0.982460\pi\) |
0.892249 | + | 0.451545i | \(0.149127\pi\) | |||||||
\(488\) | 27.0712 | − | 24.5758i | 1.22545 | − | 1.11250i | ||||
\(489\) | 5.13730 | − | 5.13730i | 0.232317 | − | 0.232317i | ||||
\(490\) | 14.7319 | + | 11.7668i | 0.665518 | + | 0.531568i | ||||
\(491\) | −9.93228 | + | 4.11409i | −0.448238 | + | 0.185666i | −0.595372 | − | 0.803450i | \(-0.702995\pi\) |
0.147134 | + | 0.989117i | \(0.452995\pi\) | |||||||
\(492\) | −1.36256 | − | 2.83678i | −0.0614292 | − | 0.127892i | ||||
\(493\) | 3.09303 | − | 0.407205i | 0.139303 | − | 0.0183396i | ||||
\(494\) | 9.55190 | − | 10.0931i | 0.429760 | − | 0.454109i | ||||
\(495\) | −11.1240 | − | 6.42242i | −0.499985 | − | 0.288666i | ||||
\(496\) | 4.94208 | − | 11.2647i | 0.221906 | − | 0.505801i | ||||
\(497\) | 26.2818 | + | 16.0089i | 1.17890 | + | 0.718097i | ||||
\(498\) | −3.12157 | − | 10.4858i | −0.139881 | − | 0.469881i | ||||
\(499\) | 5.95194 | + | 7.75672i | 0.266445 | + | 0.347238i | 0.907345 | − | 0.420386i | \(-0.138105\pi\) |
−0.640900 | + | 0.767624i | \(0.721439\pi\) | |||||||
\(500\) | 18.4153 | − | 15.8150i | 0.823555 | − | 0.707268i | ||||
\(501\) | 8.93946 | − | 11.6501i | 0.399386 | − | 0.520489i | ||||
\(502\) | 28.3035 | + | 20.5049i | 1.26325 | + | 0.915177i | ||||
\(503\) | 21.5342 | + | 21.5342i | 0.960163 | + | 0.960163i | 0.999236 | − | 0.0390731i | \(-0.0124405\pi\) |
−0.0390731 | + | 0.999236i | \(0.512441\pi\) | |||||||
\(504\) | −8.27420 | + | 5.45319i | −0.368562 | + | 0.242904i | ||||
\(505\) | 2.44248 | − | 2.44248i | 0.108689 | − | 0.108689i | ||||
\(506\) | 23.2737 | − | 3.71867i | 1.03464 | − | 0.165315i | ||||
\(507\) | −35.5468 | − | 27.2760i | −1.57869 | − | 1.21137i | ||||
\(508\) | −4.83146 | − | 2.44521i | −0.214361 | − | 0.108489i | ||||
\(509\) | 10.7003 | − | 8.21064i | 0.474283 | − | 0.363930i | −0.343788 | − | 0.939047i | \(-0.611710\pi\) |
0.818071 | + | 0.575117i | \(0.195044\pi\) | |||||||
\(510\) | 1.72833 | − | 3.19354i | 0.0765316 | − | 0.141412i | ||||
\(511\) | −4.78524 | − | 0.112491i | −0.211687 | − | 0.00497630i | ||||
\(512\) | −21.9359 | + | 5.55134i | −0.969438 | + | 0.245337i | ||||
\(513\) | −3.98579 | + | 6.90359i | −0.175977 | + | 0.304801i | ||||
\(514\) | 0.536215 | + | 19.4649i | 0.0236514 | + | 0.858561i | ||||
\(515\) | 0.857986 | + | 6.51705i | 0.0378074 | + | 0.287176i | ||||
\(516\) | −0.915882 | − | 16.6109i | −0.0403195 | − | 0.731255i | ||||
\(517\) | −2.87718 | − | 6.94613i | −0.126538 | − | 0.305491i | ||||
\(518\) | −29.4827 | + | 22.8126i | −1.29540 | + | 1.00233i | ||||
\(519\) | 2.21772 | + | 2.21772i | 0.0973469 | + | 0.0973469i | ||||
\(520\) | −15.8653 | + | 33.6147i | −0.695738 | + | 1.47410i | ||||
\(521\) | 29.1247 | + | 7.80395i | 1.27598 | + | 0.341897i | 0.832318 | − | 0.554298i | \(-0.187013\pi\) |
0.443659 | + | 0.896195i | \(0.353680\pi\) | |||||||
\(522\) | 5.12183 | − | 2.28874i | 0.224177 | − | 0.100176i | ||||
\(523\) | −0.0554101 | − | 0.00729487i | −0.00242291 | − | 0.000318982i | 0.129315 | − | 0.991604i | \(-0.458722\pi\) |
−0.131738 | + | 0.991285i | \(0.542056\pi\) | |||||||
\(524\) | 9.25986 | − | 1.74229i | 0.404519 | − | 0.0761125i | ||||
\(525\) | 4.67406 | − | 0.503915i | 0.203993 | − | 0.0219927i | ||||
\(526\) | 17.8161 | − | 5.30377i | 0.776821 | − | 0.231255i | ||||
\(527\) | 1.60136 | − | 2.77363i | 0.0697563 | − | 0.120821i | ||||
\(528\) | −2.89932 | − | 26.2118i | −0.126177 | − | 1.14072i | ||||
\(529\) | 10.6452 | − | 6.14599i | 0.462834 | − | 0.267217i | ||||
\(530\) | 22.4305 | + | 5.35281i | 0.974318 | + | 0.232511i | ||||
\(531\) | −13.7768 | − | 5.70654i | −0.597863 | − | 0.247643i | ||||
\(532\) | −3.10205 | − | 6.86730i | −0.134491 | − | 0.297735i | ||||
\(533\) | 3.20969 | + | 7.74887i | 0.139027 | + | 0.335641i | ||||
\(534\) | 14.8332 | + | 10.7461i | 0.641896 | + | 0.465031i | ||||
\(535\) | −2.07828 | + | 7.75626i | −0.0898520 | + | 0.335332i | ||||
\(536\) | −5.69316 | − | 26.2567i | −0.245907 | − | 1.13412i | ||||
\(537\) | −13.8142 | + | 3.70149i | −0.596125 | + | 0.159731i | ||||
\(538\) | −5.90193 | − | 7.26803i | −0.254450 | − | 0.313347i | ||||
\(539\) | 35.0880 | + | 6.30910i | 1.51135 | + | 0.271752i | ||||
\(540\) | 4.37647 | − | 20.8688i | 0.188333 | − | 0.898050i | ||||
\(541\) | −18.9597 | − | 24.7087i | −0.815139 | − | 1.06231i | −0.996878 | − | 0.0789633i | \(-0.974839\pi\) |
0.181738 | − | 0.983347i | \(-0.441828\pi\) | |||||||
\(542\) | 0.928033 | + | 33.6881i | 0.0398624 | + | 1.44703i | ||||
\(543\) | −3.35005 | + | 1.93415i | −0.143764 | + | 0.0830023i | ||||
\(544\) | −5.83549 | + | 0.808688i | −0.250194 | + | 0.0346722i | ||||
\(545\) | 6.94540i | 0.297508i | ||||||||
\(546\) | −28.8764 | + | 16.8276i | −1.23580 | + | 0.720156i | ||||
\(547\) | −34.0676 | − | 14.1112i | −1.45662 | − | 0.603353i | −0.492860 | − | 0.870109i | \(-0.664048\pi\) |
−0.963764 | + | 0.266755i | \(0.914048\pi\) | |||||||
\(548\) | 4.28552 | + | 3.83763i | 0.183068 | + | 0.163936i | ||||
\(549\) | 10.4208 | − | 13.5806i | 0.444748 | − | 0.579606i | ||||
\(550\) | 3.53035 | − | 9.23443i | 0.150535 | − | 0.393757i | ||||
\(551\) | 1.10410 | + | 4.12055i | 0.0470361 | + | 0.175541i | ||||
\(552\) | 5.48298 | + | 10.6532i | 0.233371 | + | 0.453431i | ||||
\(553\) | 9.28780 | − | 31.6661i | 0.394958 | − | 1.34658i | ||||
\(554\) | 14.0136 | + | 1.45361i | 0.595379 | + | 0.0617578i | ||||
\(555\) | 3.20620 | − | 24.3535i | 0.136096 | − | 1.03375i | ||||
\(556\) | 22.9257 | + | 1.74152i | 0.972266 | + | 0.0738569i | ||||
\(557\) | 1.46204 | + | 11.1053i | 0.0619485 | + | 0.470545i | 0.994099 | + | 0.108475i | \(0.0345967\pi\) |
−0.932151 | + | 0.362070i | \(0.882070\pi\) | |||||||
\(558\) | 1.33683 | − | 5.60189i | 0.0565927 | − | 0.237147i | ||||
\(559\) | 44.3376i | 1.87528i | ||||||||
\(560\) | 13.6082 | + | 14.8689i | 0.575053 | + | 0.628325i | ||||
\(561\) | − | 6.86612i | − | 0.289888i | ||||||
\(562\) | −33.3859 | − | 7.96721i | −1.40830 | − | 0.336077i | ||||
\(563\) | 0.415711 | + | 3.15763i | 0.0175201 | + | 0.133078i | 0.997970 | − | 0.0636927i | \(-0.0202877\pi\) |
−0.980449 | + | 0.196771i | \(0.936954\pi\) | |||||||
\(564\) | 2.89954 | − | 2.49012i | 0.122093 | − | 0.104853i | ||||
\(565\) | −3.07695 | + | 23.3717i | −0.129448 | + | 0.983257i | ||||
\(566\) | 2.15873 | − | 20.8114i | 0.0907383 | − | 0.874767i | ||||
\(567\) | 6.26690 | − | 5.97902i | 0.263185 | − | 0.251095i | ||||
\(568\) | 25.1032 | + | 21.2635i | 1.05331 | + | 0.892196i | ||||
\(569\) | −8.44569 | − | 31.5198i | −0.354062 | − | 1.32138i | −0.881661 | − | 0.471883i | \(-0.843574\pi\) |
0.527599 | − | 0.849493i | \(-0.323092\pi\) | |||||||
\(570\) | 4.63796 | + | 1.77311i | 0.194263 | + | 0.0742673i | ||||
\(571\) | −17.4697 | + | 22.7670i | −0.731084 | + | 0.952768i | −0.999946 | − | 0.0104112i | \(-0.996686\pi\) |
0.268861 | + | 0.963179i | \(0.413353\pi\) | |||||||
\(572\) | 3.86941 | + | 70.1776i | 0.161788 | + | 2.93427i | ||||
\(573\) | −7.61394 | − | 3.15380i | −0.318077 | − | 0.131752i | ||||
\(574\) | 4.54805 | − | 0.0183617i | 0.189832 | − | 0.000766403i | ||||
\(575\) | 4.49160i | 0.187313i | ||||||||
\(576\) | −9.64240 | + | 4.38776i | −0.401767 | + | 0.182823i | ||||
\(577\) | −8.18229 | + | 4.72405i | −0.340633 | + | 0.196665i | −0.660552 | − | 0.750780i | \(-0.729678\pi\) |
0.319919 | + | 0.947445i | \(0.396344\pi\) | |||||||
\(578\) | 22.4993 | − | 0.619804i | 0.935846 | − | 0.0257804i | ||||
\(579\) | −1.01996 | − | 1.32924i | −0.0423882 | − | 0.0552414i | ||||
\(580\) | −6.24070 | − | 9.55282i | −0.259131 | − | 0.396659i | ||||
\(581\) | 15.6232 | + | 2.43162i | 0.648158 | + | 0.100881i | ||||
\(582\) | −12.4783 | + | 10.1329i | −0.517244 | + | 0.420022i | ||||
\(583\) | 42.1180 | − | 11.2855i | 1.74435 | − | 0.467397i | ||||
\(584\) | −5.03513 | − | 0.911960i | −0.208355 | − | 0.0377372i | ||||
\(585\) | −4.50415 | + | 16.8097i | −0.186223 | + | 0.694996i | ||||
\(586\) | 22.7285 | − | 31.3727i | 0.938904 | − | 1.29600i | ||||
\(587\) | 1.45514 | + | 3.51303i | 0.0600602 | + | 0.144998i | 0.951061 | − | 0.309004i | \(-0.0999957\pi\) |
−0.891000 | + | 0.454002i | \(0.849996\pi\) | |||||||
\(588\) | 2.51056 | + | 17.9485i | 0.103534 | + | 0.740184i | ||||
\(589\) | 4.04603 | + | 1.67592i | 0.166714 | + | 0.0690551i | ||||
\(590\) | −7.04045 | + | 29.5024i | −0.289851 | + | 1.21459i | ||||
\(591\) | −1.99167 | + | 1.14989i | −0.0819265 | + | 0.0473003i | ||||
\(592\) | −34.9184 | + | 19.2060i | −1.43514 | + | 0.789362i | ||||
\(593\) | 24.2502 | − | 42.0026i | 0.995837 | − | 1.72484i | 0.418976 | − | 0.907997i | \(-0.362389\pi\) |
0.576860 | − | 0.816843i | \(-0.304278\pi\) | |||||||
\(594\) | −11.5036 | − | 38.6423i | −0.471998 | − | 1.58551i | ||||
\(595\) | 3.09594 | + | 4.23731i | 0.126921 | + | 0.173713i | ||||
\(596\) | 2.98144 | − | 4.36341i | 0.122124 | − | 0.178732i | ||||
\(597\) | 11.8644 | + | 1.56198i | 0.485580 | + | 0.0639278i | ||||
\(598\) | −13.0276 | − | 29.1537i | −0.532740 | − | 1.19218i | ||||
\(599\) | 15.6944 | + | 4.20531i | 0.641257 | + | 0.171824i | 0.564773 | − | 0.825246i | \(-0.308964\pi\) |
0.0764845 | + | 0.997071i | \(0.475630\pi\) | |||||||
\(600\) | 5.01988 | + | 0.242535i | 0.204936 | + | 0.00990144i | ||||
\(601\) | 11.9648 | + | 11.9648i | 0.488053 | + | 0.488053i | 0.907691 | − | 0.419638i | \(-0.137843\pi\) |
−0.419638 | + | 0.907691i | \(0.637843\pi\) | |||||||
\(602\) | 22.2493 | + | 9.11089i | 0.906813 | + | 0.371332i | ||||
\(603\) | −4.81362 | − | 11.6211i | −0.196026 | − | 0.473248i | ||||
\(604\) | 1.76186 | − | 1.96748i | 0.0716890 | − | 0.0800558i | ||||
\(605\) | 3.71359 | + | 28.2075i | 0.150979 | + | 1.14680i | ||||
\(606\) | 3.31900 | − | 0.0914311i | 0.134825 | − | 0.00371414i | ||||
\(607\) | 1.40684 | − | 2.43672i | 0.0571020 | − | 0.0989035i | −0.836061 | − | 0.548636i | \(-0.815147\pi\) |
0.893163 | + | 0.449732i | \(0.148481\pi\) | |||||||
\(608\) | −2.13787 | − | 7.76685i | −0.0867019 | − | 0.314987i | ||||
\(609\) | 0.241120 | − | 10.2570i | 0.00977068 | − | 0.415634i | ||||
\(610\) | −30.6212 | − | 16.5721i | −1.23982 | − | 0.670983i | ||||
\(611\) | −8.08131 | + | 6.20101i | −0.326935 | + | 0.250866i | ||||
\(612\) | −2.62086 | + | 0.859464i | −0.105942 | + | 0.0347418i | ||||
\(613\) | 4.06770 | + | 3.12126i | 0.164293 | + | 0.126066i | 0.687636 | − | 0.726056i | \(-0.258649\pi\) |
−0.523343 | + | 0.852122i | \(0.675315\pi\) | |||||||
\(614\) | 0.254872 | + | 1.59514i | 0.0102858 | + | 0.0643748i | ||||
\(615\) | −2.11912 | + | 2.11912i | −0.0854512 | + | 0.0854512i | ||||
\(616\) | 36.0113 | + | 12.4790i | 1.45094 | + | 0.502793i | ||||
\(617\) | 6.91032 | + | 6.91032i | 0.278199 | + | 0.278199i | 0.832390 | − | 0.554191i | \(-0.186972\pi\) |
−0.554191 | + | 0.832390i | \(0.686972\pi\) | |||||||
\(618\) | −3.70692 | + | 5.11676i | −0.149114 | + | 0.205826i | ||||
\(619\) | 9.94309 | − | 12.9581i | 0.399647 | − | 0.520830i | −0.549572 | − | 0.835446i | \(-0.685209\pi\) |
0.949219 | + | 0.314617i | \(0.101876\pi\) | |||||||
\(620\) | −11.6806 | − | 0.887298i | −0.469102 | − | 0.0356347i | ||||
\(621\) | 11.1511 | + | 14.5324i | 0.447478 | + | 0.583165i | ||||
\(622\) | 9.88752 | − | 2.94346i | 0.396453 | − | 0.118022i | ||||
\(623\) | −23.2295 | + | 12.6932i | −0.930670 | + | 0.508543i | ||||
\(624\) | −33.2861 | + | 12.9857i | −1.33251 | + | 0.519842i | ||||
\(625\) | −14.0754 | − | 8.12645i | −0.563017 | − | 0.325058i | ||||
\(626\) | 5.98343 | + | 5.66261i | 0.239146 | + | 0.226324i | ||||
\(627\) | 9.30841 | − | 1.22547i | 0.371742 | − | 0.0489408i | ||||
\(628\) | −45.1202 | − | 15.8398i | −1.80049 | − | 0.632078i | ||||
\(629\) | −9.58598 | + | 3.97064i | −0.382218 | + | 0.158320i | ||||
\(630\) | 7.50981 | + | 5.71446i | 0.299198 | + | 0.227669i | ||||
\(631\) | 32.1040 | − | 32.1040i | 1.27804 | − | 1.27804i | 0.336278 | − | 0.941763i | \(-0.390832\pi\) |
0.941763 | − | 0.336278i | \(-0.109168\pi\) | |||||||
\(632\) | 15.0577 | − | 31.9036i | 0.598962 | − | 1.26906i | ||||
\(633\) | 6.69949 | − | 25.0028i | 0.266281 | − | 0.993773i | ||||
\(634\) | −10.3107 | + | 26.9699i | −0.409490 | + | 1.07111i | ||||
\(635\) | −0.673073 | + | 5.11250i | −0.0267101 | + | 0.202883i | ||||
\(636\) | 12.1231 | + | 18.5572i | 0.480714 | + | 0.735842i | ||||
\(637\) | −4.04734 | − | 48.1311i | −0.160362 | − | 1.90702i | ||||
\(638\) | −18.9752 | − | 10.2693i | −0.751236 | − | 0.406565i | ||||
\(639\) | 13.3389 | + | 7.70125i | 0.527681 | + | 0.304657i | ||||
\(640\) | 11.9074 | + | 17.9589i | 0.470680 | + | 0.709886i | ||||
\(641\) | 4.77006 | + | 8.26198i | 0.188406 | + | 0.326329i | 0.944719 | − | 0.327881i | \(-0.106335\pi\) |
−0.756313 | + | 0.654210i | \(0.773001\pi\) | |||||||
\(642\) | −6.57563 | + | 4.04187i | −0.259519 | + | 0.159520i | ||||
\(643\) | 1.30599 | − | 3.15294i | 0.0515033 | − | 0.124340i | −0.896034 | − | 0.443986i | \(-0.853564\pi\) |
0.947537 | + | 0.319646i | \(0.103564\pi\) | |||||||
\(644\) | −17.3068 | + | 0.546697i | −0.681984 | + | 0.0215429i | ||||
\(645\) | −14.6364 | + | 6.06261i | −0.576309 | + | 0.238715i | ||||
\(646\) | −0.330921 | − | 2.07111i | −0.0130199 | − | 0.0814866i | ||||
\(647\) | 22.6575 | + | 6.07105i | 0.890757 | + | 0.238678i | 0.675043 | − | 0.737779i | \(-0.264125\pi\) |
0.215715 | + | 0.976456i | \(0.430792\pi\) | |||||||
\(648\) | 7.60961 | − | 5.27581i | 0.298934 | − | 0.207253i | ||||
\(649\) | 14.8436 | + | 55.3970i | 0.582661 | + | 2.17452i | ||||
\(650\) | −13.3228 | − | 1.38195i | −0.522563 | − | 0.0542047i | ||||
\(651\) | −8.20321 | − | 6.60656i | −0.321509 | − | 0.258931i | ||||
\(652\) | 2.07556 | + | 11.0311i | 0.0812851 | + | 0.432010i | ||||
\(653\) | −38.5094 | + | 29.5493i | −1.50699 | + | 1.15635i | −0.562963 | + | 0.826482i | \(0.690339\pi\) |
−0.944026 | + | 0.329871i | \(0.892995\pi\) | |||||||
\(654\) | −4.58893 | + | 4.84893i | −0.179442 | + | 0.189608i | ||||
\(655\) | −4.48638 | − | 7.77064i | −0.175297 | − | 0.303624i | ||||
\(656\) | 4.80632 | + | 0.734450i | 0.187655 | + | 0.0286755i | ||||
\(657\) | −2.39572 | −0.0934659 | ||||||||
\(658\) | 1.45114 | + | 5.32956i | 0.0565713 | + | 0.207768i | ||||
\(659\) | −12.9028 | + | 31.1501i | −0.502621 | + | 1.21343i | 0.445430 | + | 0.895317i | \(0.353051\pi\) |
−0.948051 | + | 0.318118i | \(0.896949\pi\) | |||||||
\(660\) | −22.6375 | + | 10.8732i | −0.881162 | + | 0.423241i | ||||
\(661\) | 24.6657 | + | 18.9267i | 0.959386 | + | 0.736163i | 0.964571 | − | 0.263824i | \(-0.0849837\pi\) |
−0.00518466 | + | 0.999987i | \(0.501650\pi\) | |||||||
\(662\) | −35.4058 | + | 15.8214i | −1.37608 | + | 0.614918i | ||||
\(663\) | −8.98551 | + | 2.40766i | −0.348968 | + | 0.0935057i | ||||
\(664\) | 16.0969 | + | 5.15763i | 0.624679 | + | 0.200155i | ||||
\(665\) | −5.19196 | + | 4.95346i | −0.201335 | + | 0.192087i | ||||
\(666\) | −14.4840 | + | 11.7616i | −0.561242 | + | 0.455751i | ||||
\(667\) | 9.71865 | + | 1.27948i | 0.376308 | + | 0.0495418i | ||||
\(668\) | 7.06951 | + | 21.5579i | 0.273528 | + | 0.834100i | ||||
\(669\) | −6.98500 | + | 0.919592i | −0.270056 | + | 0.0355535i | ||||
\(670\) | −21.7965 | + | 13.3977i | −0.842071 | + | 0.517599i | ||||
\(671\) | −65.8357 | −2.54156 | ||||||||
\(672\) | −0.323526 | + | 19.3719i | −0.0124803 | + | 0.747286i | ||||
\(673\) | 40.9511 | 1.57855 | 0.789274 | − | 0.614041i | \(-0.210457\pi\) | ||||
0.789274 | + | 0.614041i | \(0.210457\pi\) | |||||||
\(674\) | 19.3977 | − | 11.9233i | 0.747172 | − | 0.459267i | ||||
\(675\) | 7.61783 | − | 1.00291i | 0.293210 | − | 0.0386019i | ||||
\(676\) | 65.7773 | − | 21.5704i | 2.52990 | − | 0.829632i | ||||
\(677\) | −16.3601 | − | 2.15385i | −0.628772 | − | 0.0827793i | −0.190596 | − | 0.981669i | \(-0.561042\pi\) |
−0.438176 | + | 0.898889i | \(0.644375\pi\) | |||||||
\(678\) | −17.5902 | + | 14.2840i | −0.675549 | + | 0.548573i | ||||
\(679\) | −5.48350 | − | 22.5741i | −0.210437 | − | 0.866314i | ||||
\(680\) | 2.56734 | + | 4.98825i | 0.0984532 | + | 0.191291i | ||||
\(681\) | 0.268105 | − | 0.0718385i | 0.0102738 | − | 0.00275286i | ||||
\(682\) | −20.2226 | + | 9.03668i | −0.774364 | + | 0.346032i | ||||
\(683\) | 1.45485 | + | 1.11634i | 0.0556682 | + | 0.0427157i | 0.636221 | − | 0.771507i | \(-0.280497\pi\) |
−0.580553 | + | 0.814223i | \(0.697163\pi\) | |||||||
\(684\) | −1.63295 | − | 3.39971i | −0.0624375 | − | 0.129991i | ||||
\(685\) | 2.09641 | − | 5.06118i | 0.0800996 | − | 0.193378i | ||||
\(686\) | −24.9846 | − | 7.85939i | −0.953916 | − | 0.300073i | ||||
\(687\) | 27.6371 | 1.05442 | ||||||||
\(688\) | 21.9877 | + | 13.3100i | 0.838274 | + | 0.507439i | ||||
\(689\) | −29.5380 | − | 51.1614i | −1.12531 | − | 1.94909i | ||||
\(690\) | 7.84266 | − | 8.28700i | 0.298565 | − | 0.315481i | ||||
\(691\) | −34.9091 | + | 26.7867i | −1.32800 | + | 1.01901i | −0.330846 | + | 0.943685i | \(0.607334\pi\) |
−0.997159 | + | 0.0753290i | \(0.975999\pi\) | |||||||
\(692\) | −4.76199 | + | 0.895995i | −0.181024 | + | 0.0340606i | ||||
\(693\) | 17.6312 | + | 2.74416i | 0.669755 | + | 0.104242i | ||||
\(694\) | 23.6176 | + | 2.44982i | 0.896513 | + | 0.0929940i | ||||
\(695\) | −5.66676 | − | 21.1487i | −0.214953 | − | 0.802214i | ||||
\(696\) | 1.95475 | − | 10.7926i | 0.0740947 | − | 0.409093i | ||||
\(697\) | 1.22276 | + | 0.327638i | 0.0463154 | + | 0.0124102i | ||||
\(698\) | 3.79391 | + | 23.7446i | 0.143601 | + | 0.898746i | ||||
\(699\) | 4.83883 | − | 2.00431i | 0.183021 | − | 0.0758099i | ||||
\(700\) | −3.43117 | + | 6.40160i | −0.129686 | + | 0.241958i | ||||
\(701\) | 17.7520 | − | 42.8570i | 0.670483 | − | 1.61869i | −0.110309 | − | 0.993897i | \(-0.535184\pi\) |
0.780792 | − | 0.624791i | \(-0.214816\pi\) | |||||||
\(702\) | −46.5363 | + | 28.6047i | −1.75640 | + | 1.07961i | ||||
\(703\) | −7.09392 | − | 12.2870i | −0.267552 | − | 0.463414i | ||||
\(704\) | 35.9638 | + | 19.1482i | 1.35544 | + | 0.721675i | ||||
\(705\) | −3.15205 | − | 1.81984i | −0.118713 | − | 0.0685391i | ||||
\(706\) | 17.3293 | + | 9.37851i | 0.652196 | + | 0.352965i | ||||
\(707\) | −1.93996 | + | 4.38878i | −0.0729595 | + | 0.165057i | ||||
\(708\) | −24.4080 | + | 15.9453i | −0.917308 | + | 0.599263i | ||||
\(709\) | −0.156432 | + | 1.18822i | −0.00587492 | + | 0.0446245i | −0.994131 | − | 0.108181i | \(-0.965497\pi\) |
0.988256 | + | 0.152805i | \(0.0488308\pi\) | |||||||
\(710\) | 11.1874 | − | 29.2631i | 0.419855 | − | 1.09822i | ||||
\(711\) | 4.27487 | − | 15.9540i | 0.160320 | − | 0.598323i | ||||
\(712\) | −26.6370 | + | 9.55521i | −0.998263 | + | 0.358097i | ||||
\(713\) | 7.11582 | − | 7.11582i | 0.266490 | − | 0.266490i | ||||
\(714\) | −0.638223 | + | 5.00381i | −0.0238849 | + | 0.187263i | ||||
\(715\) | 61.8359 | − | 25.6133i | 2.31253 | − | 0.957882i | ||||
\(716\) | 7.31889 | − | 20.8481i | 0.273520 | − | 0.779129i | ||||
\(717\) | −3.50765 | + | 0.461791i | −0.130996 | + | 0.0172459i | ||||
\(718\) | −30.1069 | − | 28.4926i | −1.12358 | − | 1.06333i | ||||
\(719\) | −19.7501 | − | 11.4027i | −0.736554 | − | 0.425250i | 0.0842609 | − | 0.996444i | \(-0.473147\pi\) |
−0.820815 | + | 0.571194i | \(0.806480\pi\) | |||||||
\(720\) | 6.98406 | + | 7.27989i | 0.260281 | + | 0.271306i | ||||
\(721\) | −4.37856 | − | 8.01309i | −0.163066 | − | 0.298423i | ||||
\(722\) | −23.0044 | + | 6.84828i | −0.856135 | + | 0.254867i | ||||
\(723\) | −11.8344 | − | 15.4229i | −0.440126 | − | 0.573583i | ||||
\(724\) | 0.452688 | − | 5.95926i | 0.0168240 | − | 0.221474i | ||||
\(725\) | 2.50309 | − | 3.26209i | 0.0929625 | − | 0.121151i | ||||
\(726\) | −16.0445 | + | 22.1467i | −0.595467 | + | 0.821940i | ||||
\(727\) | 1.25193 | + | 1.25193i | 0.0464316 | + | 0.0464316i | 0.729941 | − | 0.683510i | \(-0.239547\pi\) |
−0.683510 | + | 0.729941i | \(0.739547\pi\) | |||||||
\(728\) | 3.70329 | − | 51.5029i | 0.137253 | − | 1.90883i | ||||
\(729\) | 18.4375 | − | 18.4375i | 0.682869 | − | 0.682869i | ||||
\(730\) | 0.768838 | + | 4.81186i | 0.0284560 | + | 0.178095i | ||||
\(731\) | 5.30902 | + | 4.07375i | 0.196361 | + | 0.150673i | ||||
\(732\) | −10.4288 | − | 31.8017i | −0.385458 | − | 1.17542i | ||||
\(733\) | −19.6153 | + | 15.0514i | −0.724508 | + | 0.555935i | −0.903849 | − | 0.427852i | \(-0.859270\pi\) |
0.179340 | + | 0.983787i | \(0.442604\pi\) | |||||||
\(734\) | −14.5087 | − | 7.85205i | −0.535527 | − | 0.289824i | ||||
\(735\) | 15.3353 | − | 7.91740i | 0.565651 | − | 0.292038i | ||||
\(736\) | −18.3686 | − | 2.29124i | −0.677077 | − | 0.0844561i | ||||
\(737\) | −24.1886 | + | 41.8959i | −0.890999 | + | 1.54326i | ||||
\(738\) | 2.27550 | − | 0.0626849i | 0.0837623 | − | 0.00230746i | ||||
\(739\) | 3.92638 | + | 29.8238i | 0.144434 | + | 1.09709i | 0.898089 | + | 0.439815i | \(0.144956\pi\) |
−0.753654 | + | 0.657271i | \(0.771711\pi\) | |||||||
\(740\) | 28.2716 | + | 25.3169i | 1.03928 | + | 0.930666i | ||||
\(741\) | −4.86781 | − | 11.7519i | −0.178824 | − | 0.431718i | ||||
\(742\) | −31.7433 | + | 4.30953i | −1.16533 | + | 0.158208i | ||||
\(743\) | −4.91671 | − | 4.91671i | −0.180377 | − | 0.180377i | 0.611143 | − | 0.791520i | \(-0.290710\pi\) |
−0.791520 | + | 0.611143i | \(0.790710\pi\) | |||||||
\(744\) | −7.56851 | − | 8.33699i | −0.277475 | − | 0.305649i | ||||
\(745\) | −4.86109 | − | 1.30252i | −0.178097 | − | 0.0477208i | ||||
\(746\) | −1.50122 | − | 3.35949i | −0.0549637 | − | 0.123000i | ||||
\(747\) | 7.84598 | + | 1.03294i | 0.287070 | + | 0.0377934i | ||||
\(748\) | 8.75864 | + | 5.98461i | 0.320248 | + | 0.218819i | ||||
\(749\) | −1.19568 | − | 11.0905i | −0.0436891 | − | 0.405238i | ||||
\(750\) | −6.33971 | − | 21.2960i | −0.231494 | − | 0.777622i | ||||
\(751\) | −7.80945 | + | 13.5264i | −0.284971 | + | 0.493584i | −0.972602 | − | 0.232476i | \(-0.925317\pi\) |
0.687631 | + | 0.726060i | \(0.258651\pi\) | |||||||
\(752\) | 0.649195 | + | 5.86917i | 0.0236737 | + | 0.214027i | ||||
\(753\) | 27.7062 | − | 15.9962i | 1.00967 | − | 0.582933i | ||||
\(754\) | −6.78534 | + | 28.4334i | −0.247108 | + | 1.03548i | ||||
\(755\) | −2.32359 | − | 0.962461i | −0.0845640 | − | 0.0350276i | ||||
\(756\) | 4.79156 | + | 29.2306i | 0.174267 | + | 1.06311i | ||||
\(757\) | 6.69326 | + | 16.1590i | 0.243271 | + | 0.587308i | 0.997604 | − | 0.0691842i | \(-0.0220396\pi\) |
−0.754333 | + | 0.656492i | \(0.772040\pi\) | |||||||
\(758\) | −6.25716 | + | 8.63694i | −0.227270 | + | 0.313708i | ||||
\(759\) | 5.58379 | − | 20.8390i | 0.202679 | − | 0.756407i | ||||
\(760\) | −6.30435 | + | 4.37086i | −0.228683 | + | 0.158548i | ||||
\(761\) | 19.3129 | − | 5.17487i | 0.700092 | − | 0.187589i | 0.108820 | − | 0.994061i | \(-0.465293\pi\) |
0.591272 | + | 0.806472i | \(0.298626\pi\) | |||||||
\(762\) | −3.84781 | + | 3.12458i | −0.139391 | + | 0.113191i | ||||
\(763\) | −3.48172 | − | 8.99814i | −0.126047 | − | 0.325755i | ||||
\(764\) | 10.6595 | − | 6.96369i | 0.385648 | − | 0.251938i | ||||
\(765\) | 1.59896 | + | 2.08381i | 0.0578106 | + | 0.0753403i | ||||
\(766\) | 32.7385 | − | 0.901873i | 1.18289 | − | 0.0325860i | ||||
\(767\) | 67.2916 | − | 38.8508i | 2.42976 | − | 1.40282i | ||||
\(768\) | −3.55258 | + | 20.4053i | −0.128193 | + | 0.736314i | ||||
\(769\) | 46.5336i | 1.67804i | 0.544098 | + | 0.839022i | \(0.316872\pi\) | ||||
−0.544098 | + | 0.839022i | \(0.683128\pi\) | |||||||
\(770\) | −0.146526 | − | 36.2934i | −0.00528044 | − | 1.30792i | ||||
\(771\) | 16.4674 | + | 6.82104i | 0.593060 | + | 0.245654i | ||||
\(772\) | 2.58464 | − | 0.142510i | 0.0930232 | − | 0.00512906i | ||||
\(773\) | −17.7040 | + | 23.0723i | −0.636769 | + | 0.829853i | −0.994584 | − | 0.103939i | \(-0.966855\pi\) |
0.357815 | + | 0.933792i | \(0.383522\pi\) | |||||||
\(774\) | 11.2401 | + | 4.29712i | 0.404016 | + | 0.154457i | ||||
\(775\) | −1.09252 | − | 4.07733i | −0.0392444 | − | 0.146462i | ||||
\(776\) | −2.04955 | − | 24.7498i | −0.0735746 | − | 0.888465i | ||||
\(777\) | 8.05459 | + | 33.1586i | 0.288957 | + | 1.18956i | ||||
\(778\) | −3.51001 | + | 33.8384i | −0.125840 | + | 1.21317i | ||||
\(779\) | −0.225939 | + | 1.71618i | −0.00809511 | + | 0.0614884i | ||||
\(780\) | 22.1676 | + | 25.8123i | 0.793726 | + | 0.924228i | ||||
\(781\) | −7.73210 | − | 58.7312i | −0.276676 | − | 2.10157i | ||||
\(782\) | −4.68787 | − | 1.11871i | −0.167638 | − | 0.0400051i | ||||
\(783\) | − | 16.7687i | − | 0.599264i | ||||||
\(784\) | −25.0840 | − | 12.4417i | −0.895856 | − | 0.444345i | ||||
\(785\) | 45.5381i | 1.62532i | ||||||||
\(786\) | 2.00202 | − | 8.38929i | 0.0714097 | − | 0.299236i | ||||
\(787\) | 1.32966 | + | 10.0997i | 0.0473971 | + | 0.360017i | 0.998665 | + | 0.0516516i | \(0.0164485\pi\) |
−0.951268 | + | 0.308365i | \(0.900218\pi\) | |||||||
\(788\) | 0.269132 | − | 3.54291i | 0.00958745 | − | 0.126211i | ||||
\(789\) | 2.22097 | − | 16.8700i | 0.0790687 | − | 0.600586i | ||||
\(790\) | −33.4160 | − | 3.46619i | −1.18889 | − | 0.123321i | ||||
\(791\) | −7.72988 | − | 31.8218i | −0.274843 | − | 1.13145i | ||||
\(792\) | 18.1658 | + | 5.82054i | 0.645494 | + | 0.206824i | ||||
\(793\) | 23.0858 | + | 86.1575i | 0.819802 | + | 3.05954i | ||||
\(794\) | 6.80138 | − | 17.7905i | 0.241372 | − | 0.631362i | ||||
\(795\) | 12.8501 | − | 16.7466i | 0.455746 | − | 0.593939i | ||||
\(796\) | −12.3338 | + | 13.7732i | −0.437158 | + | 0.488179i | ||||
\(797\) | 29.1949 | + | 12.0929i | 1.03414 | + | 0.428353i | 0.834204 | − | 0.551457i | \(-0.185928\pi\) |
0.199932 | + | 0.979810i | \(0.435928\pi\) | |||||||
\(798\) | −6.89758 | + | 0.0278474i | −0.244172 | + | 0.000985787i | ||||
\(799\) | 1.53741i | 0.0543898i | ||||||||
\(800\) | −4.68479 | + | 6.19213i | −0.165632 | + | 0.218925i | ||||
\(801\) | −11.4741 | + | 6.62455i | −0.405416 | + | 0.234067i | ||||
\(802\) | −0.200469 | − | 7.27716i | −0.00707882 | − | 0.256965i | ||||
\(803\) | 5.60909 | + | 7.30990i | 0.197940 | + | 0.257961i | ||||
\(804\) | −24.0693 | − | 5.04765i | −0.848858 | − | 0.178017i | ||||
\(805\) | 5.95040 | + | 15.3782i | 0.209724 | + | 0.542009i | ||||
\(806\) | 18.9173 | + | 23.2960i | 0.666333 | + | 0.820567i | ||||
\(807\) | −8.27810 | + | 2.21811i | −0.291403 | + | 0.0780811i | ||||
\(808\) | −2.77626 | + | 4.31352i | −0.0976686 | + | 0.151749i | ||||
\(809\) | −4.66300 | + | 17.4026i | −0.163942 | + | 0.611841i | 0.834230 | + | 0.551416i | \(0.185912\pi\) |
−0.998173 | + | 0.0604253i | \(0.980754\pi\) | |||||||
\(810\) | −7.14079 | − | 5.17325i | −0.250902 | − | 0.181770i | ||||
\(811\) | 3.00766 | + | 7.26114i | 0.105613 | + | 0.254973i | 0.967848 | − | 0.251536i | \(-0.0809357\pi\) |
−0.862235 | + | 0.506509i | \(0.830936\pi\) | |||||||
\(812\) | 12.8740 | + | 9.24773i | 0.451788 | + | 0.324532i | ||||
\(813\) | 28.5004 | + | 11.8052i | 0.999551 | + | 0.414028i | ||||
\(814\) | 69.7985 | + | 16.6567i | 2.44644 | + | 0.583817i | ||||
\(815\) | 9.25699 | − | 5.34453i | 0.324258 | − | 0.187211i | ||||
\(816\) | −1.50342 | + | 5.17883i | −0.0526303 | + | 0.181295i | ||||
\(817\) | −4.57523 | + | 7.92453i | −0.160067 | + | 0.277244i | ||||
\(818\) | −1.55161 | + | 0.461907i | −0.0542509 | + | 0.0161502i | ||||
\(819\) | −2.59132 | − | 24.0358i | −0.0905481 | − | 0.839879i | ||||
\(820\) | −0.856160 | − | 4.55028i | −0.0298984 | − | 0.158903i | ||||
\(821\) | −44.2969 | − | 5.83180i | −1.54597 | − | 0.203531i | −0.691250 | − | 0.722616i | \(-0.742940\pi\) |
−0.854723 | + | 0.519085i | \(0.826273\pi\) | |||||||
\(822\) | 4.80760 | − | 2.14833i | 0.167684 | − | 0.0749315i | ||||
\(823\) | −21.3457 | − | 5.71956i | −0.744064 | − | 0.199371i | −0.133180 | − | 0.991092i | \(-0.542519\pi\) |
−0.610884 | + | 0.791720i | \(0.709186\pi\) | |||||||
\(824\) | −3.29610 | − | 9.18851i | −0.114825 | − | 0.320097i | ||||
\(825\) | −6.39897 | − | 6.39897i | −0.222783 | − | 0.222783i | ||||
\(826\) | −5.66824 | − | 41.7513i | −0.197223 | − | 1.45271i | ||||
\(827\) | 10.4914 | + | 25.3284i | 0.364821 | + | 0.880755i | 0.994581 | + | 0.103965i | \(0.0331532\pi\) |
−0.629760 | + | 0.776790i | \(0.716847\pi\) | |||||||
\(828\) | −8.65339 | + | 0.477125i | −0.300726 | + | 0.0165813i | ||||
\(829\) | −2.50401 | − | 19.0198i | −0.0869678 | − | 0.660586i | −0.978294 | − | 0.207223i | \(-0.933557\pi\) |
0.891326 | − | 0.453363i | \(-0.149776\pi\) | |||||||
\(830\) | −0.443253 | − | 16.0903i | −0.0153855 | − | 0.558504i | ||||
\(831\) | 6.44816 | − | 11.1685i | 0.223684 | − | 0.387432i | ||||
\(832\) | 12.4477 | − | 53.7793i | 0.431548 | − | 1.86446i | ||||
\(833\) | −6.13512 | − | 3.93767i | −0.212569 | − | 0.136432i | ||||
\(834\) | 10.0170 | − | 18.5090i | 0.346860 | − | 0.640915i | ||||
\(835\) | 17.1404 | − | 13.1523i | 0.593167 | − | 0.455153i | ||||
\(836\) | −6.55010 | + | 12.9422i | −0.226540 | + | 0.447617i | ||||
\(837\) | −13.6574 | − | 10.4797i | −0.472069 | − | 0.362231i | ||||
\(838\) | 39.0865 | − | 6.24522i | 1.35022 | − | 0.215738i | ||||
\(839\) | −6.91976 | + | 6.91976i | −0.238897 | + | 0.238897i | −0.816393 | − | 0.577497i | \(-0.804030\pi\) |
0.577497 | + | 0.816393i | \(0.304030\pi\) | |||||||
\(840\) | 17.5082 | − | 5.81987i | 0.604089 | − | 0.200805i | ||||
\(841\) | 14.1608 | + | 14.1608i | 0.488304 | + | 0.488304i | ||||
\(842\) | −13.5358 | − | 9.80624i | −0.466476 | − | 0.337945i | ||||
\(843\) | −19.1263 | + | 24.9259i | −0.658744 | + | 0.858492i | ||||
\(844\) | 26.0550 | + | 30.3389i | 0.896852 | + | 1.04431i | ||||
\(845\) | −40.1301 | − | 52.2985i | −1.38052 | − | 1.79912i | ||||
\(846\) | 0.788798 | + | 2.64969i | 0.0271194 | + | 0.0910982i | ||||
\(847\) | −18.9516 | − | 34.6827i | −0.651183 | − | 1.19171i | ||||
\(848\) | −34.2389 | − | 0.710098i | −1.17577 | − | 0.0243849i | ||||
\(849\) | −16.5863 | − | 9.57608i | −0.569239 | − | 0.328650i | ||||
\(850\) | −1.38958 | + | 1.46831i | −0.0476622 | + | 0.0503625i | ||||
\(851\) | −32.3230 | + | 4.25540i | −1.10802 | + | 0.145873i | ||||
\(852\) | 27.1450 | − | 13.0383i | 0.929974 | − | 0.446686i | ||||
\(853\) | −33.0362 | + | 13.6840i | −1.13114 | + | 0.468532i | −0.868167 | − | 0.496271i | \(-0.834702\pi\) |
−0.262970 | + | 0.964804i | \(0.584702\pi\) | |||||||
\(854\) | 47.9790 | + | 6.11960i | 1.64181 | + | 0.209408i | ||||
\(855\) | −2.53964 | + | 2.53964i | −0.0868538 | + | 0.0868538i | ||||
\(856\) | 0.575481 | − | 11.9110i | 0.0196695 | − | 0.407111i | ||||
\(857\) | −12.0838 | + | 45.0972i | −0.412774 | + | 1.54049i | 0.376480 | + | 0.926425i | \(0.377134\pi\) |
−0.789253 | + | 0.614068i | \(0.789532\pi\) | |||||||
\(858\) | 60.0937 | + | 22.9740i | 2.05157 | + | 0.784321i | ||||
\(859\) | 5.09660 | − | 38.7125i | 0.173894 | − | 1.32085i | −0.652512 | − | 0.757778i | \(-0.726285\pi\) |
0.826406 | − | 0.563075i | \(-0.190382\pi\) | |||||||
\(860\) | 5.02368 | − | 23.9550i | 0.171306 | − | 0.816858i | ||||
\(861\) | 1.68312 | − | 3.80775i | 0.0573606 | − | 0.129768i | ||||
\(862\) | 21.8058 | − | 40.2920i | 0.742710 | − | 1.37235i | ||||
\(863\) | 14.2685 | + | 8.23794i | 0.485706 | + | 0.280423i | 0.722792 | − | 0.691066i | \(-0.242859\pi\) |
−0.237085 | + | 0.971489i | \(0.576192\pi\) | |||||||
\(864\) | 0.215462 | + | 31.6651i | 0.00733015 | + | 1.07727i | ||||
\(865\) | 2.30717 | + | 3.99614i | 0.0784462 | + | 0.135873i | ||||
\(866\) | −17.1948 | − | 27.9739i | −0.584304 | − | 0.950591i | ||||
\(867\) | 7.88434 | − | 19.0345i | 0.267766 | − | 0.646445i | ||||
\(868\) | 15.5776 | − | 4.70591i | 0.528738 | − | 0.159729i | ||||
\(869\) | −58.6882 | + | 24.3095i | −1.99086 | + | 0.824642i | ||||
\(870\) | −10.3140 | + | 1.64798i | −0.349679 | + | 0.0558716i | ||||
\(871\) | 63.3100 | + | 16.9639i | 2.14518 | + | 0.574799i | ||||
\(872\) | −2.18566 | − | 10.0802i | −0.0740158 | − | 0.341358i | ||||
\(873\) | −3.00931 | − | 11.2309i | −0.101850 | − | 0.380109i | ||||
\(874\) | 0.679943 | − | 6.55502i | 0.0229994 | − | 0.221727i | ||||
\(875\) | 31.7297 | + | 4.93848i | 1.07266 | + | 0.166951i | ||||
\(876\) | −2.64251 | + | 3.86738i | −0.0892820 | + | 0.130667i | ||||
\(877\) | 18.0190 | − | 13.8265i | 0.608460 | − | 0.466888i | −0.257993 | − | 0.966147i | \(-0.583061\pi\) |
0.866453 | + | 0.499259i | \(0.166394\pi\) | |||||||
\(878\) | −21.0968 | − | 19.9656i | −0.711982 | − | 0.673806i | ||||
\(879\) | −17.7308 | − | 30.7107i | −0.598046 | − | 1.03585i | ||||
\(880\) | 5.86091 | − | 38.3544i | 0.197571 | − | 1.29293i | ||||
\(881\) | 22.7253 | 0.765636 | 0.382818 | − | 0.923824i | \(-0.374954\pi\) | ||||
0.382818 | + | 0.923824i | \(0.374954\pi\) | |||||||
\(882\) | −12.5940 | − | 3.63873i | −0.424063 | − | 0.122522i | ||||
\(883\) | −17.4587 | + | 42.1489i | −0.587530 | + | 1.41842i | 0.298326 | + | 0.954464i | \(0.403572\pi\) |
−0.885856 | + | 0.463960i | \(0.846428\pi\) | |||||||
\(884\) | 4.76062 | − | 13.5608i | 0.160117 | − | 0.456098i | ||||
\(885\) | 22.0264 | + | 16.9015i | 0.740410 | + | 0.568137i | ||||
\(886\) | −14.4792 | − | 32.4020i | −0.486437 | − | 1.08857i | ||||
\(887\) | 2.84834 | − | 0.763209i | 0.0956377 | − | 0.0256261i | −0.210683 | − | 0.977554i | \(-0.567569\pi\) |
0.306321 | + | 0.951928i | \(0.400902\pi\) | |||||||
\(888\) | 3.01054 | + | 36.3544i | 0.101027 | + | 1.21997i | ||||
\(889\) | −1.69089 | − | 6.96093i | −0.0567106 | − | 0.233462i | ||||
\(890\) | 16.9878 | + | 20.9200i | 0.569434 | + | 0.701239i | ||||
\(891\) | −16.5305 | − | 2.17628i | −0.553793 | − | 0.0729082i | ||||
\(892\) | 4.91517 | − | 9.71182i | 0.164572 | − | 0.325176i | ||||
\(893\) | −2.08427 | + | 0.274400i | −0.0697475 | + | 0.00918244i | ||||
\(894\) | −2.53317 | − | 4.12115i | −0.0847218 | − | 0.137832i | ||||
\(895\) | −21.0412 | −0.703329 | ||||||||
\(896\) | −24.4294 | − | 17.2975i | −0.816129 | − | 0.577870i | ||||
\(897\) | −29.2294 | −0.975942 | ||||||||
\(898\) | 14.9695 | + | 24.3535i | 0.499537 | + | 0.812686i | ||||
\(899\) | −9.13349 | + | 1.20245i | −0.304619 | + | 0.0401039i | ||||
\(900\) | −1.64156 | + | 3.24354i | −0.0547187 | + | 0.108118i | ||||
\(901\) | −8.84006 | − | 1.16382i | −0.294505 | − | 0.0387723i | ||||
\(902\) | −5.51888 | − | 6.79632i | −0.183759 | − | 0.226293i | ||||
\(903\) | 15.9231 | − | 15.1917i | 0.529888 | − | 0.505547i | ||||
\(904\) | −2.88918 | − | 34.8888i | −0.0960925 | − | 1.16039i | ||||
\(905\) | −5.49735 | + | 1.47301i | −0.182738 | + | 0.0489645i | ||||
\(906\) | −0.986297 | − | 2.20717i | −0.0327675 | − | 0.0733283i | ||||
\(907\) | −33.7878 | − | 25.9263i | −1.12191 | − | 0.860868i | −0.130468 | − | 0.991452i | \(-0.541648\pi\) |
−0.991437 | + | 0.130584i | \(0.958315\pi\) | |||||||
\(908\) | −0.142045 | + | 0.404619i | −0.00471392 | + | 0.0134277i | ||||
\(909\) | −0.919074 | + | 2.21884i | −0.0304837 | + | 0.0735943i | ||||
\(910\) | −47.4449 | + | 12.9183i | −1.57278 | + | 0.428239i | ||||
\(911\) | −22.9192 | −0.759346 | −0.379673 | − | 0.925121i | \(-0.623964\pi\) | ||||
−0.379673 | + | 0.925121i | \(0.623964\pi\) | |||||||
\(912\) | −7.28927 | − | 1.11387i | −0.241372 | − | 0.0368839i | ||||
\(913\) | −15.2180 | − | 26.3584i | −0.503643 | − | 0.872335i | ||||
\(914\) | 22.7578 | + | 21.5376i | 0.752761 | + | 0.712400i | ||||
\(915\) | −25.2850 | + | 19.4019i | −0.835897 | + | 0.641407i | ||||
\(916\) | −24.0889 | + | 35.2548i | −0.795921 | + | 1.16485i | ||||
\(917\) | 9.70777 | + | 7.81827i | 0.320579 | + | 0.258182i | ||||
\(918\) | −0.850626 | + | 8.20050i | −0.0280748 | + | 0.270657i | ||||
\(919\) | 1.75789 | + | 6.56055i | 0.0579876 | + | 0.216413i | 0.988840 | − | 0.148984i | \(-0.0476002\pi\) |
−0.930852 | + | 0.365396i | \(0.880933\pi\) | |||||||
\(920\) | 3.73538 | + | 17.2274i | 0.123152 | + | 0.567971i | ||||
\(921\) | 1.42827 | + | 0.382705i | 0.0470632 | + | 0.0126105i | ||||
\(922\) | −35.5524 | + | 5.68055i | −1.17086 | + | 0.187079i | ||||
\(923\) | −74.1486 | + | 30.7134i | −2.44063 | + | 1.01094i | ||||
\(924\) | 23.8773 | − | 25.4350i | 0.785506 | − | 0.836751i | ||||
\(925\) | −5.23328 | + | 12.6343i | −0.172069 | + | 0.415412i | ||||
\(926\) | −9.11881 | − | 14.8352i | −0.299663 | − | 0.487515i | ||||
\(927\) | −2.28516 | − | 3.95801i | −0.0750545 | − | 0.129998i | ||||
\(928\) | 12.0636 | + | 11.9006i | 0.396008 | + | 0.390655i | ||||
\(929\) | 2.88857 | + | 1.66772i | 0.0947709 | + | 0.0547160i | 0.546636 | − | 0.837370i | \(-0.315908\pi\) |
−0.451866 | + | 0.892086i | \(0.649241\pi\) | |||||||
\(930\) | −5.10362 | + | 9.43028i | −0.167354 | + | 0.309231i | ||||
\(931\) | 4.24330 | − | 9.02020i | 0.139068 | − | 0.295625i | ||||
\(932\) | −1.66084 | + | 7.91956i | −0.0544026 | + | 0.259414i | ||||
\(933\) | 1.23258 | − | 9.36241i | 0.0403530 | − | 0.306511i | ||||
\(934\) | 38.1821 | + | 14.5971i | 1.24936 | + | 0.477633i | ||||
\(935\) | 2.61455 | − | 9.75762i | 0.0855048 | − | 0.319108i | ||||
\(936\) | 1.24721 | − | 25.8141i | 0.0407662 | − | 0.843762i | ||||
\(937\) | 30.7306 | − | 30.7306i | 1.00392 | − | 1.00392i | 0.00393267 | − | 0.999992i | \(-0.498748\pi\) |
0.999992 | − | 0.00393267i | \(-0.00125181\pi\) | |||||||
\(938\) | 21.5222 | − | 28.2840i | 0.702726 | − | 0.923506i | ||||
\(939\) | 6.96685 | − | 2.88577i | 0.227355 | − | 0.0941734i | ||||
\(940\) | 5.06882 | − | 2.43466i | 0.165327 | − | 0.0794099i | ||||
\(941\) | 0.0279542 | − | 0.00368024i | 0.000911282 | − | 0.000119973i | −0.130071 | − | 0.991505i | \(-0.541520\pi\) |
0.130982 | + | 0.991385i | \(0.458187\pi\) | |||||||
\(942\) | −30.0877 | + | 31.7924i | −0.980311 | + | 1.03585i | ||||
\(943\) | 3.44469 | + | 1.98879i | 0.112175 | + | 0.0647640i | ||||
\(944\) | 0.933979 | − | 45.0338i | 0.0303984 | − | 1.46573i | ||||
\(945\) | 24.7530 | − | 13.5257i | 0.805215 | − | 0.439991i | ||||
\(946\) | −13.2048 | − | 44.3569i | −0.429325 | − | 1.44217i | ||||
\(947\) | 9.52398 | + | 12.4119i | 0.309488 | + | 0.403332i | 0.922038 | − | 0.387099i | \(-0.126523\pi\) |
−0.612550 | + | 0.790432i | \(0.709856\pi\) | |||||||
\(948\) | −21.0392 | − | 24.4984i | −0.683320 | − | 0.795669i | ||||
\(949\) | 7.59941 | − | 9.90374i | 0.246687 | − | 0.321489i | ||||
\(950\) | −2.23860 | − | 1.62179i | −0.0726298 | − | 0.0526178i | ||||
\(951\) | 18.6887 | + | 18.6887i | 0.606024 | + | 0.606024i | ||||
\(952\) | −5.82674 | − | 5.17554i | −0.188846 | − | 0.167740i | ||||
\(953\) | 41.4334 | − | 41.4334i | 1.34216 | − | 1.34216i | 0.448251 | − | 0.893908i | \(-0.352047\pi\) |
0.893908 | − | 0.448251i | \(-0.147953\pi\) | |||||||
\(954\) | −15.8327 | + | 2.52975i | −0.512603 | + | 0.0819036i | ||||
\(955\) | −9.61944 | − | 7.38126i | −0.311278 | − | 0.238852i | ||||
\(956\) | 2.46825 | − | 4.87698i | 0.0798288 | − | 0.157733i | ||||
\(957\) | −15.6685 | + | 12.0229i | −0.506491 | + | 0.388644i | ||||
\(958\) | −14.1419 | + | 26.1309i | −0.456905 | + | 0.844252i | ||||
\(959\) | −0.178847 | + | 7.60796i | −0.00577527 | + | 0.245674i | ||||
\(960\) | 19.4553 | − | 3.24448i | 0.627918 | − | 0.104715i | ||||
\(961\) | 10.7713 | − | 18.6565i | 0.347462 | − | 0.601821i | ||||
\(962\) | −2.67721 | − | 97.1843i | −0.0863167 | − | 3.13335i | ||||
\(963\) | −0.728736 | − | 5.53530i | −0.0234832 | − | 0.178373i | ||||
\(964\) | 29.9890 | − | 1.65351i | 0.965880 | − | 0.0532561i | ||||
\(965\) | −0.943335 | − | 2.27741i | −0.0303670 | − | 0.0733125i | ||||
\(966\) | −6.00633 | + | 14.6678i | −0.193250 | + | 0.471928i | ||||
\(967\) | −42.0180 | − | 42.0180i | −1.35121 | − | 1.35121i | −0.884311 | − | 0.466898i | \(-0.845372\pi\) |
−0.466898 | − | 0.884311i | \(-0.654628\pi\) | |||||||
\(968\) | −14.2664 | − | 39.7703i | −0.458539 | − | 1.27827i | ||||
\(969\) | −1.85444 | − | 0.496896i | −0.0595733 | − | 0.0159626i | ||||
\(970\) | −21.5918 | + | 9.64852i | −0.693271 | + | 0.309795i | ||||
\(971\) | −28.1383 | − | 3.70447i | −0.902999 | − | 0.118882i | −0.335294 | − | 0.942114i | \(-0.608836\pi\) |
−0.567706 | + | 0.823232i | \(0.692169\pi\) | |||||||
\(972\) | 4.64327 | + | 24.6778i | 0.148933 | + | 0.791540i | ||||
\(973\) | 17.9434 | + | 24.5585i | 0.575239 | + | 0.787309i | ||||
\(974\) | −12.2774 | + | 3.65492i | −0.393394 | + | 0.117111i | ||||
\(975\) | −6.13031 | + | 10.6180i | −0.196327 | + | 0.340049i | ||||
\(976\) | 49.6571 | + | 14.4156i | 1.58949 | + | 0.461431i | ||||
\(977\) | −22.2372 | + | 12.8387i | −0.711431 | + | 0.410745i | −0.811591 | − | 0.584226i | \(-0.801398\pi\) |
0.100159 | + | 0.994971i | \(0.468065\pi\) | |||||||
\(978\) | 9.99397 | + | 2.38496i | 0.319572 | + | 0.0762627i | ||||
\(979\) | 47.0772 | + | 19.5000i | 1.50460 | + | 0.623224i | ||||
\(980\) | −3.26678 | + | 26.4631i | −0.104354 | + | 0.845333i | ||||
\(981\) | −1.84800 | − | 4.46146i | −0.0590020 | − | 0.142443i | ||||
\(982\) | −12.3122 | − | 8.91975i | −0.392898 | − | 0.284641i | ||||
\(983\) | 1.53877 | − | 5.74279i | 0.0490793 | − | 0.183166i | −0.937035 | − | 0.349236i | \(-0.886441\pi\) |
0.986114 | + | 0.166070i | \(0.0531077\pi\) | |||||||
\(984\) | 2.40871 | − | 3.74245i | 0.0767869 | − | 0.119305i | ||||
\(985\) | −3.26829 | + | 0.875735i | −0.104136 | + | 0.0279032i | ||||
\(986\) | 2.78119 | + | 3.42495i | 0.0885713 | + | 0.109073i | ||||
\(987\) | 4.99594 | + | 0.777578i | 0.159022 | + | 0.0247506i | ||||
\(988\) | 19.2340 | + | 4.03364i | 0.611916 | + | 0.128327i | ||||
\(989\) | 12.8002 | + | 16.6815i | 0.407022 | + | 0.530442i | ||||
\(990\) | −0.500225 | − | 18.1585i | −0.0158982 | − | 0.577113i | ||||
\(991\) | −17.8271 | + | 10.2925i | −0.566296 | + | 0.326951i | −0.755669 | − | 0.654954i | \(-0.772688\pi\) |
0.189373 | + | 0.981905i | \(0.439355\pi\) | |||||||
\(992\) | 17.2318 | − | 2.38800i | 0.547109 | − | 0.0758189i | ||||
\(993\) | 35.4977i | 1.12649i | ||||||||
\(994\) | 0.175703 | + | 43.5201i | 0.00557295 | + | 1.38038i | ||||
\(995\) | 16.2661 | + | 6.73764i | 0.515670 | + | 0.213598i | ||||
\(996\) | 10.3217 | − | 11.5263i | 0.327055 | − | 0.365225i | ||||
\(997\) | −32.4961 | + | 42.3498i | −1.02916 | + | 1.34123i | −0.0906883 | + | 0.995879i | \(0.528907\pi\) |
−0.938474 | + | 0.345351i | \(0.887760\pi\) | |||||||
\(998\) | −4.93756 | + | 12.9153i | −0.156296 | + | 0.408827i | ||||
\(999\) | 14.4345 | + | 53.8701i | 0.456686 | + | 1.70438i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 224.2.be.a.19.21 | ✓ | 240 | |
4.3 | odd | 2 | 896.2.bi.a.495.9 | 240 | |||
7.3 | odd | 6 | inner | 224.2.be.a.115.2 | yes | 240 | |
28.3 | even | 6 | 896.2.bi.a.367.9 | 240 | |||
32.5 | even | 8 | 896.2.bi.a.271.9 | 240 | |||
32.27 | odd | 8 | inner | 224.2.be.a.187.2 | yes | 240 | |
224.59 | even | 24 | inner | 224.2.be.a.59.21 | yes | 240 | |
224.101 | odd | 24 | 896.2.bi.a.143.9 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.be.a.19.21 | ✓ | 240 | 1.1 | even | 1 | trivial | |
224.2.be.a.59.21 | yes | 240 | 224.59 | even | 24 | inner | |
224.2.be.a.115.2 | yes | 240 | 7.3 | odd | 6 | inner | |
224.2.be.a.187.2 | yes | 240 | 32.27 | odd | 8 | inner | |
896.2.bi.a.143.9 | 240 | 224.101 | odd | 24 | |||
896.2.bi.a.271.9 | 240 | 32.5 | even | 8 | |||
896.2.bi.a.367.9 | 240 | 28.3 | even | 6 | |||
896.2.bi.a.495.9 | 240 | 4.3 | odd | 2 |