Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,2,Mod(3,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.k (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.606863055362\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.7 | ||
Character | \(\chi\) | \(=\) | 76.59 |
Dual form | 76.2.k.a.67.7 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09990 | + | 0.888945i | 0.777746 | + | 0.628579i | ||||
\(3\) | −0.220673 | − | 0.185167i | −0.127406 | − | 0.106906i | 0.576858 | − | 0.816844i | \(-0.304278\pi\) |
−0.704264 | + | 0.709938i | \(0.748723\pi\) | |||||||
\(4\) | 0.419555 | + | 1.95550i | 0.209778 | + | 0.977749i | ||||
\(5\) | −2.14071 | + | 0.779153i | −0.957352 | + | 0.348448i | −0.772995 | − | 0.634412i | \(-0.781242\pi\) |
−0.184357 | + | 0.982859i | \(0.559020\pi\) | |||||||
\(6\) | −0.0781151 | − | 0.399831i | −0.0318904 | − | 0.163230i | ||||
\(7\) | 3.55057 | − | 2.04992i | 1.34199 | − | 0.774799i | 0.354891 | − | 0.934908i | \(-0.384518\pi\) |
0.987099 | + | 0.160109i | \(0.0511845\pi\) | |||||||
\(8\) | −1.27686 | + | 2.52381i | −0.451439 | + | 0.892302i | ||||
\(9\) | −0.506535 | − | 2.87270i | −0.168845 | − | 0.957567i | ||||
\(10\) | −3.04718 | − | 1.04598i | −0.963604 | − | 0.330768i | ||||
\(11\) | −3.61965 | − | 2.08981i | −1.09137 | − | 0.630101i | −0.157426 | − | 0.987531i | \(-0.550320\pi\) |
−0.933940 | + | 0.357430i | \(0.883653\pi\) | |||||||
\(12\) | 0.269509 | − | 0.509213i | 0.0778004 | − | 0.146997i | ||||
\(13\) | −0.374492 | − | 0.446302i | −0.103865 | − | 0.123782i | 0.711608 | − | 0.702577i | \(-0.247967\pi\) |
−0.815473 | + | 0.578795i | \(0.803523\pi\) | |||||||
\(14\) | 5.72754 | + | 0.901553i | 1.53075 | + | 0.240950i | ||||
\(15\) | 0.616669 | + | 0.224449i | 0.159223 | + | 0.0579525i | ||||
\(16\) | −3.64795 | + | 1.64088i | −0.911987 | + | 0.410220i | ||||
\(17\) | −0.573106 | + | 3.25025i | −0.138999 | + | 0.788301i | 0.832993 | + | 0.553284i | \(0.186626\pi\) |
−0.971991 | + | 0.235017i | \(0.924486\pi\) | |||||||
\(18\) | 1.99653 | − | 3.60996i | 0.470588 | − | 0.850876i | ||||
\(19\) | 0.458280 | + | 4.33474i | 0.105137 | + | 0.994458i | ||||
\(20\) | −2.42178 | − | 3.85925i | −0.541526 | − | 0.862954i | ||||
\(21\) | −1.16309 | − | 0.205085i | −0.253808 | − | 0.0447532i | ||||
\(22\) | −2.12353 | − | 5.51625i | −0.452738 | − | 1.17607i | ||||
\(23\) | 0.862701 | − | 2.37025i | 0.179886 | − | 0.494232i | −0.816675 | − | 0.577098i | \(-0.804185\pi\) |
0.996561 | + | 0.0828661i | \(0.0264074\pi\) | |||||||
\(24\) | 0.749095 | − | 0.320505i | 0.152908 | − | 0.0654228i | ||||
\(25\) | 0.145317 | − | 0.121936i | 0.0290635 | − | 0.0243872i | ||||
\(26\) | −0.0151654 | − | 0.823789i | −0.00297418 | − | 0.161558i | ||||
\(27\) | −0.852252 | + | 1.47614i | −0.164016 | + | 0.284084i | ||||
\(28\) | 5.49829 | + | 6.08308i | 1.03908 | + | 1.14959i | ||||
\(29\) | 8.34798 | − | 1.47197i | 1.55018 | − | 0.273339i | 0.667969 | − | 0.744189i | \(-0.267164\pi\) |
0.882213 | + | 0.470850i | \(0.156053\pi\) | |||||||
\(30\) | 0.478751 | + | 0.795056i | 0.0874075 | + | 0.145157i | ||||
\(31\) | 0.386863 | + | 0.670066i | 0.0694826 | + | 0.120347i | 0.898674 | − | 0.438618i | \(-0.144532\pi\) |
−0.829191 | + | 0.558965i | \(0.811199\pi\) | |||||||
\(32\) | −5.47102 | − | 1.43802i | −0.967149 | − | 0.254209i | ||||
\(33\) | 0.411797 | + | 1.13140i | 0.0716847 | + | 0.196952i | ||||
\(34\) | −3.51965 | + | 3.06548i | −0.603615 | + | 0.525726i | ||||
\(35\) | −6.00353 | + | 7.15472i | −1.01478 | + | 1.20937i | ||||
\(36\) | 5.40504 | − | 2.19578i | 0.900840 | − | 0.365964i | ||||
\(37\) | − | 1.23521i | − | 0.203067i | −0.994832 | − | 0.101534i | \(-0.967625\pi\) | ||
0.994832 | − | 0.101534i | \(-0.0323749\pi\) | |||||||
\(38\) | −3.34928 | + | 5.17516i | −0.543325 | + | 0.839522i | ||||
\(39\) | 0.167830i | 0.0268743i | ||||||||
\(40\) | 0.766949 | − | 6.39761i | 0.121265 | − | 1.01155i | ||||
\(41\) | −4.51238 | + | 5.37764i | −0.704715 | + | 0.839847i | −0.993051 | − | 0.117683i | \(-0.962453\pi\) |
0.288336 | + | 0.957529i | \(0.406898\pi\) | |||||||
\(42\) | −1.09698 | − | 1.25950i | −0.169267 | − | 0.194345i | ||||
\(43\) | 1.55737 | + | 4.27884i | 0.237497 | + | 0.652517i | 0.999985 | + | 0.00551486i | \(0.00175544\pi\) |
−0.762488 | + | 0.647002i | \(0.776022\pi\) | |||||||
\(44\) | 2.56797 | − | 7.95501i | 0.387136 | − | 1.19926i | ||||
\(45\) | 3.32261 | + | 5.75494i | 0.495306 | + | 0.857895i | ||||
\(46\) | 3.05591 | − | 1.84014i | 0.450569 | − | 0.271314i | ||||
\(47\) | −4.84679 | + | 0.854620i | −0.706977 | + | 0.124659i | −0.515565 | − | 0.856851i | \(-0.672418\pi\) |
−0.191412 | + | 0.981510i | \(0.561307\pi\) | |||||||
\(48\) | 1.10884 | + | 0.313381i | 0.160047 | + | 0.0452326i | ||||
\(49\) | 4.90438 | − | 8.49464i | 0.700626 | − | 1.21352i | ||||
\(50\) | 0.268229 | − | 0.00493791i | 0.0379333 | − | 0.000698326i | ||||
\(51\) | 0.728306 | − | 0.611122i | 0.101983 | − | 0.0855742i | ||||
\(52\) | 0.715623 | − | 0.919566i | 0.0992390 | − | 0.127521i | ||||
\(53\) | −0.232598 | + | 0.639058i | −0.0319498 | + | 0.0877814i | −0.954642 | − | 0.297756i | \(-0.903762\pi\) |
0.922692 | + | 0.385538i | \(0.125984\pi\) | |||||||
\(54\) | −2.24960 | + | 0.866004i | −0.306132 | + | 0.117848i | ||||
\(55\) | 9.37689 | + | 1.65340i | 1.26438 | + | 0.222944i | ||||
\(56\) | 0.640033 | + | 11.5784i | 0.0855280 | + | 1.54724i | ||||
\(57\) | 0.701520 | − | 1.04142i | 0.0929185 | − | 0.137939i | ||||
\(58\) | 10.4904 | + | 5.80187i | 1.37746 | + | 0.761823i | ||||
\(59\) | 0.368113 | − | 2.08767i | 0.0479243 | − | 0.271792i | −0.951424 | − | 0.307883i | \(-0.900379\pi\) |
0.999349 | + | 0.0360909i | \(0.0114906\pi\) | |||||||
\(60\) | −0.180183 | + | 1.30006i | −0.0232616 | + | 0.167838i | ||||
\(61\) | −2.91217 | − | 1.05994i | −0.372866 | − | 0.135712i | 0.148789 | − | 0.988869i | \(-0.452463\pi\) |
−0.521654 | + | 0.853157i | \(0.674685\pi\) | |||||||
\(62\) | −0.170142 | + | 1.08090i | −0.0216080 | + | 0.137275i | ||||
\(63\) | −7.68731 | − | 9.16138i | −0.968510 | − | 1.15423i | ||||
\(64\) | −4.73925 | − | 6.44512i | −0.592406 | − | 0.805639i | ||||
\(65\) | 1.14941 | + | 0.663614i | 0.142567 | + | 0.0823112i | ||||
\(66\) | −0.552820 | + | 1.61049i | −0.0680474 | + | 0.198238i | ||||
\(67\) | −2.44691 | − | 13.8771i | −0.298938 | − | 1.69536i | −0.650751 | − | 0.759291i | \(-0.725546\pi\) |
0.351813 | − | 0.936070i | \(-0.385565\pi\) | |||||||
\(68\) | −6.59630 | + | 0.242949i | −0.799919 | + | 0.0294619i | ||||
\(69\) | −0.629267 | + | 0.363307i | −0.0757548 | + | 0.0437370i | ||||
\(70\) | −12.9634 | + | 2.53267i | −1.54943 | + | 0.302712i | ||||
\(71\) | 12.4034 | − | 4.51448i | 1.47202 | − | 0.535771i | 0.523370 | − | 0.852105i | \(-0.324674\pi\) |
0.948648 | + | 0.316335i | \(0.102452\pi\) | |||||||
\(72\) | 7.89693 | + | 2.38964i | 0.930662 | + | 0.281622i | ||||
\(73\) | −8.59023 | − | 7.20806i | −1.00541 | − | 0.843639i | −0.0176852 | − | 0.999844i | \(-0.505630\pi\) |
−0.987725 | + | 0.156205i | \(0.950074\pi\) | |||||||
\(74\) | 1.09803 | − | 1.35860i | 0.127644 | − | 0.157935i | ||||
\(75\) | −0.0546461 | −0.00630999 | ||||||||
\(76\) | −8.28430 | + | 2.71483i | −0.950275 | + | 0.311412i | ||||
\(77\) | −17.1358 | −1.95280 | ||||||||
\(78\) | −0.149192 | + | 0.184596i | −0.0168926 | + | 0.0209014i | ||||
\(79\) | 7.91111 | + | 6.63821i | 0.890069 | + | 0.746857i | 0.968224 | − | 0.250085i | \(-0.0804585\pi\) |
−0.0781550 | + | 0.996941i | \(0.524903\pi\) | |||||||
\(80\) | 6.53068 | − | 6.35495i | 0.730153 | − | 0.710505i | ||||
\(81\) | −7.76190 | + | 2.82510i | −0.862433 | + | 0.313900i | ||||
\(82\) | −9.74358 | + | 1.90361i | −1.07600 | + | 0.210218i | ||||
\(83\) | −1.29416 | + | 0.747183i | −0.142052 | + | 0.0820140i | −0.569342 | − | 0.822101i | \(-0.692802\pi\) |
0.427289 | + | 0.904115i | \(0.359469\pi\) | |||||||
\(84\) | −0.0869389 | − | 2.36047i | −0.00948581 | − | 0.257549i | ||||
\(85\) | −1.30559 | − | 7.40436i | −0.141611 | − | 0.803115i | ||||
\(86\) | −2.09070 | + | 6.09071i | −0.225446 | + | 0.656778i | ||||
\(87\) | −2.11474 | − | 1.22094i | −0.226723 | − | 0.130899i | ||||
\(88\) | 9.89607 | − | 6.46693i | 1.05493 | − | 0.689377i | ||||
\(89\) | 9.52313 | + | 11.3492i | 1.00945 | + | 1.20302i | 0.979080 | + | 0.203477i | \(0.0652242\pi\) |
0.0303703 | + | 0.999539i | \(0.490331\pi\) | |||||||
\(90\) | −1.46128 | + | 9.28347i | −0.154032 | + | 0.978564i | ||||
\(91\) | −2.24455 | − | 0.816948i | −0.235292 | − | 0.0856394i | ||||
\(92\) | 4.99697 | + | 0.692559i | 0.520971 | + | 0.0722043i | ||||
\(93\) | 0.0387037 | − | 0.219500i | 0.00401339 | − | 0.0227610i | ||||
\(94\) | −6.09069 | − | 3.36853i | −0.628206 | − | 0.347438i | ||||
\(95\) | −4.35847 | − | 8.92233i | −0.447169 | − | 0.915412i | ||||
\(96\) | 0.941034 | + | 1.33038i | 0.0960438 | + | 0.135782i | ||||
\(97\) | 10.1050 | + | 1.78178i | 1.02601 | + | 0.180913i | 0.661230 | − | 0.750183i | \(-0.270035\pi\) |
0.364776 | + | 0.931095i | \(0.381146\pi\) | |||||||
\(98\) | 12.9456 | − | 4.98352i | 1.30770 | − | 0.503412i | ||||
\(99\) | −4.16991 | + | 11.4567i | −0.419092 | + | 1.15145i | ||||
\(100\) | 0.299414 | + | 0.233009i | 0.0299414 | + | 0.0233009i | ||||
\(101\) | 6.70325 | − | 5.62470i | 0.666999 | − | 0.559678i | −0.245177 | − | 0.969478i | \(-0.578846\pi\) |
0.912175 | + | 0.409800i | \(0.134402\pi\) | |||||||
\(102\) | 1.34432 | − | 0.0247480i | 0.133107 | − | 0.00245041i | ||||
\(103\) | 4.40079 | − | 7.62240i | 0.433623 | − | 0.751057i | −0.563559 | − | 0.826076i | \(-0.690568\pi\) |
0.997182 | + | 0.0750187i | \(0.0239016\pi\) | |||||||
\(104\) | 1.60456 | − | 0.375281i | 0.157340 | − | 0.0367993i | ||||
\(105\) | 2.64963 | − | 0.467202i | 0.258578 | − | 0.0455942i | ||||
\(106\) | −0.823922 | + | 0.496133i | −0.0800264 | + | 0.0481887i | ||||
\(107\) | 0.252753 | + | 0.437781i | 0.0244346 | + | 0.0423219i | 0.877984 | − | 0.478690i | \(-0.158888\pi\) |
−0.853550 | + | 0.521012i | \(0.825555\pi\) | |||||||
\(108\) | −3.24416 | − | 1.04725i | −0.312170 | − | 0.100772i | ||||
\(109\) | 2.13914 | + | 5.87723i | 0.204892 | + | 0.562937i | 0.998994 | − | 0.0448483i | \(-0.0142805\pi\) |
−0.794102 | + | 0.607785i | \(0.792058\pi\) | |||||||
\(110\) | 8.84385 | + | 10.1541i | 0.843228 | + | 0.968156i | ||||
\(111\) | −0.228720 | + | 0.272577i | −0.0217091 | + | 0.0258719i | ||||
\(112\) | −9.58863 | + | 13.3041i | −0.906040 | + | 1.25712i | ||||
\(113\) | − | 7.26696i | − | 0.683618i | −0.939769 | − | 0.341809i | \(-0.888960\pi\) | ||
0.939769 | − | 0.341809i | \(-0.111040\pi\) | |||||||
\(114\) | 1.69736 | − | 0.521843i | 0.158973 | − | 0.0488751i | ||||
\(115\) | 5.74619i | 0.535835i | ||||||||
\(116\) | 6.38088 | + | 15.7069i | 0.592450 | + | 1.45835i | ||||
\(117\) | −1.09240 | + | 1.30187i | −0.100992 | + | 0.120358i | ||||
\(118\) | 2.26071 | − | 1.96900i | 0.208116 | − | 0.181261i | ||||
\(119\) | 4.62790 | + | 12.7151i | 0.424239 | + | 1.16559i | ||||
\(120\) | −1.35387 | + | 1.26977i | −0.123591 | + | 0.115913i | ||||
\(121\) | 3.23459 | + | 5.60247i | 0.294054 | + | 0.509316i | ||||
\(122\) | −2.26086 | − | 3.75459i | −0.204689 | − | 0.339925i | ||||
\(123\) | 1.99152 | − | 0.351159i | 0.179569 | − | 0.0316629i | ||||
\(124\) | −1.14800 | + | 1.03764i | −0.103094 | + | 0.0931827i | ||||
\(125\) | 5.47915 | − | 9.49017i | 0.490070 | − | 0.848827i | ||||
\(126\) | −0.311305 | − | 16.9102i | −0.0277333 | − | 1.50648i | ||||
\(127\) | −6.88695 | + | 5.77884i | −0.611118 | + | 0.512789i | −0.894998 | − | 0.446071i | \(-0.852823\pi\) |
0.283879 | + | 0.958860i | \(0.408378\pi\) | |||||||
\(128\) | 0.516655 | − | 11.3019i | 0.0456663 | − | 0.998957i | ||||
\(129\) | 0.448629 | − | 1.23260i | 0.0394996 | − | 0.108524i | ||||
\(130\) | 0.674323 | + | 1.75167i | 0.0591420 | + | 0.153632i | ||||
\(131\) | −13.5834 | − | 2.39512i | −1.18679 | − | 0.209262i | −0.454807 | − | 0.890590i | \(-0.650292\pi\) |
−0.731979 | + | 0.681328i | \(0.761403\pi\) | |||||||
\(132\) | −2.03969 | + | 1.27995i | −0.177532 | + | 0.111406i | ||||
\(133\) | 10.5130 | + | 14.4514i | 0.911597 | + | 1.25309i | ||||
\(134\) | 9.64465 | − | 17.4386i | 0.833171 | − | 1.50647i | ||||
\(135\) | 0.674279 | − | 3.82402i | 0.0580327 | − | 0.329120i | ||||
\(136\) | −7.47123 | − | 5.59653i | −0.640653 | − | 0.479898i | ||||
\(137\) | −7.03294 | − | 2.55978i | −0.600865 | − | 0.218697i | 0.0236365 | − | 0.999721i | \(-0.492476\pi\) |
−0.624501 | + | 0.781024i | \(0.714698\pi\) | |||||||
\(138\) | −1.01509 | − | 0.159782i | −0.0864102 | − | 0.0136015i | ||||
\(139\) | 12.3852 | + | 14.7601i | 1.05050 | + | 1.25194i | 0.966823 | + | 0.255447i | \(0.0822225\pi\) |
0.0836787 | + | 0.996493i | \(0.473333\pi\) | |||||||
\(140\) | −16.5099 | − | 8.73809i | −1.39534 | − | 0.738503i | ||||
\(141\) | 1.22780 | + | 0.708872i | 0.103400 | + | 0.0596978i | ||||
\(142\) | 17.6557 | + | 6.06050i | 1.48163 | + | 0.508586i | ||||
\(143\) | 0.422845 | + | 2.39807i | 0.0353601 | + | 0.200537i | ||||
\(144\) | 6.56156 | + | 9.64830i | 0.546797 | + | 0.804025i | ||||
\(145\) | −16.7237 | + | 9.65542i | −1.38883 | + | 0.801839i | ||||
\(146\) | −3.04082 | − | 15.5644i | −0.251660 | − | 1.28812i | ||||
\(147\) | −2.65519 | + | 0.966410i | −0.218996 | + | 0.0797081i | ||||
\(148\) | 2.41545 | − | 0.518238i | 0.198549 | − | 0.0425989i | ||||
\(149\) | 1.56368 | + | 1.31208i | 0.128101 | + | 0.107490i | 0.704588 | − | 0.709617i | \(-0.251132\pi\) |
−0.576486 | + | 0.817107i | \(0.695576\pi\) | |||||||
\(150\) | −0.0601052 | − | 0.0485773i | −0.00490757 | − | 0.00396632i | ||||
\(151\) | −9.61868 | −0.782757 | −0.391378 | − | 0.920230i | \(-0.628002\pi\) | ||||
−0.391378 | + | 0.920230i | \(0.628002\pi\) | |||||||
\(152\) | −11.5252 | − | 4.37825i | −0.934820 | − | 0.355123i | ||||
\(153\) | 9.62728 | 0.778320 | ||||||||
\(154\) | −18.8476 | − | 15.2328i | −1.51879 | − | 1.22749i | ||||
\(155\) | −1.35024 | − | 1.13299i | −0.108454 | − | 0.0910038i | ||||
\(156\) | −0.328192 | + | 0.0704140i | −0.0262764 | + | 0.00563763i | ||||
\(157\) | −7.10221 | + | 2.58499i | −0.566818 | + | 0.206305i | −0.609503 | − | 0.792784i | \(-0.708631\pi\) |
0.0426851 | + | 0.999089i | \(0.486409\pi\) | |||||||
\(158\) | 2.80042 | + | 14.3339i | 0.222789 | + | 1.14034i | ||||
\(159\) | 0.169660 | − | 0.0979535i | 0.0134549 | − | 0.00776822i | ||||
\(160\) | 12.8323 | − | 1.18438i | 1.01448 | − | 0.0936336i | ||||
\(161\) | −1.79575 | − | 10.1842i | −0.141525 | − | 0.802629i | ||||
\(162\) | −11.0487 | − | 3.79257i | −0.868064 | − | 0.297973i | ||||
\(163\) | −14.3484 | − | 8.28406i | −1.12385 | − | 0.648858i | −0.181472 | − | 0.983396i | \(-0.558086\pi\) |
−0.942382 | + | 0.334538i | \(0.891420\pi\) | |||||||
\(164\) | −12.4092 | − | 6.56773i | −0.968993 | − | 0.512853i | ||||
\(165\) | −1.76307 | − | 2.10115i | −0.137255 | − | 0.163574i | ||||
\(166\) | −2.08765 | − | 0.328610i | −0.162033 | − | 0.0255051i | ||||
\(167\) | 7.24993 | + | 2.63876i | 0.561016 | + | 0.204193i | 0.606934 | − | 0.794752i | \(-0.292399\pi\) |
−0.0459180 | + | 0.998945i | \(0.514621\pi\) | |||||||
\(168\) | 2.00270 | − | 2.67356i | 0.154512 | − | 0.206270i | ||||
\(169\) | 2.19849 | − | 12.4682i | 0.169114 | − | 0.959094i | ||||
\(170\) | 5.14605 | − | 9.30464i | 0.394684 | − | 0.713633i | ||||
\(171\) | 12.2203 | − | 3.51220i | 0.934508 | − | 0.268585i | ||||
\(172\) | −7.71387 | + | 4.84065i | −0.588177 | + | 0.369096i | ||||
\(173\) | −9.18629 | − | 1.61979i | −0.698421 | − | 0.123150i | −0.186846 | − | 0.982389i | \(-0.559827\pi\) |
−0.511575 | + | 0.859239i | \(0.670938\pi\) | |||||||
\(174\) | −1.24064 | − | 3.22280i | −0.0940530 | − | 0.244320i | ||||
\(175\) | 0.266001 | − | 0.730832i | 0.0201078 | − | 0.0552457i | ||||
\(176\) | 16.6334 | + | 1.68410i | 1.25379 | + | 0.126944i | ||||
\(177\) | −0.467801 | + | 0.392531i | −0.0351620 | + | 0.0295045i | ||||
\(178\) | 0.385649 | + | 20.9485i | 0.0289056 | + | 1.57016i | ||||
\(179\) | −0.791374 | + | 1.37070i | −0.0591501 | + | 0.102451i | −0.894084 | − | 0.447899i | \(-0.852172\pi\) |
0.834934 | + | 0.550350i | \(0.185506\pi\) | |||||||
\(180\) | −9.85975 | + | 8.91188i | −0.734902 | + | 0.664252i | ||||
\(181\) | 13.1059 | − | 2.31093i | 0.974156 | − | 0.171770i | 0.336156 | − | 0.941806i | \(-0.390873\pi\) |
0.638000 | + | 0.770036i | \(0.279762\pi\) | |||||||
\(182\) | −1.74255 | − | 2.89384i | −0.129167 | − | 0.214505i | ||||
\(183\) | 0.446372 | + | 0.773139i | 0.0329968 | + | 0.0571521i | ||||
\(184\) | 4.88052 | + | 5.20378i | 0.359797 | + | 0.383628i | ||||
\(185\) | 0.962417 | + | 2.64422i | 0.0707583 | + | 0.194407i | ||||
\(186\) | 0.237693 | − | 0.207022i | 0.0174285 | − | 0.0151796i | ||||
\(187\) | 8.86683 | − | 10.5671i | 0.648407 | − | 0.772742i | ||||
\(188\) | −3.70470 | − | 9.11933i | −0.270193 | − | 0.665095i | ||||
\(189\) | 6.98821i | 0.508318i | ||||||||
\(190\) | 3.13758 | − | 13.6881i | 0.227624 | − | 0.993039i | ||||
\(191\) | 12.6803i | 0.917517i | 0.888561 | + | 0.458759i | \(0.151706\pi\) | ||||
−0.888561 | + | 0.458759i | \(0.848294\pi\) | |||||||
\(192\) | −0.147596 | + | 2.29981i | −0.0106518 | + | 0.165975i | ||||
\(193\) | −14.1194 | + | 16.8269i | −1.01634 | + | 1.21123i | −0.0390670 | + | 0.999237i | \(0.512439\pi\) |
−0.977272 | + | 0.211989i | \(0.932006\pi\) | |||||||
\(194\) | 9.53056 | + | 10.9426i | 0.684254 | + | 0.785630i | ||||
\(195\) | −0.130765 | − | 0.359275i | −0.00936430 | − | 0.0257282i | ||||
\(196\) | 18.6689 | + | 6.02654i | 1.33349 | + | 0.430467i | ||||
\(197\) | 2.27195 | + | 3.93514i | 0.161870 | + | 0.280367i | 0.935539 | − | 0.353223i | \(-0.114914\pi\) |
−0.773669 | + | 0.633590i | \(0.781581\pi\) | |||||||
\(198\) | −14.7709 | + | 8.89443i | −1.04972 | + | 0.632100i | ||||
\(199\) | −11.9982 | + | 2.11561i | −0.850530 | + | 0.149971i | −0.581888 | − | 0.813269i | \(-0.697686\pi\) |
−0.268642 | + | 0.963240i | \(0.586575\pi\) | |||||||
\(200\) | 0.122193 | + | 0.522449i | 0.00864033 | + | 0.0369427i | ||||
\(201\) | −2.02962 | + | 3.51540i | −0.143158 | + | 0.247957i | ||||
\(202\) | 12.3729 | − | 0.227778i | 0.870557 | − | 0.0160264i | ||||
\(203\) | 26.6227 | − | 22.3391i | 1.86855 | − | 1.56790i | ||||
\(204\) | 1.50061 | + | 1.16780i | 0.105064 | + | 0.0817626i | ||||
\(205\) | 5.46966 | − | 15.0278i | 0.382018 | − | 1.04959i | ||||
\(206\) | 11.6163 | − | 4.47180i | 0.809347 | − | 0.311565i | ||||
\(207\) | −7.24601 | − | 1.27767i | −0.503633 | − | 0.0888040i | ||||
\(208\) | 2.09845 | + | 1.01359i | 0.145502 | + | 0.0702798i | ||||
\(209\) | 7.39996 | − | 16.6480i | 0.511866 | − | 1.15156i | ||||
\(210\) | 3.32965 | + | 1.84150i | 0.229767 | + | 0.127076i | ||||
\(211\) | 0.635579 | − | 3.60455i | 0.0437551 | − | 0.248147i | −0.955083 | − | 0.296338i | \(-0.904234\pi\) |
0.998838 | + | 0.0481908i | \(0.0153456\pi\) | |||||||
\(212\) | −1.34727 | − | 0.186725i | −0.0925305 | − | 0.0128243i | ||||
\(213\) | −3.57304 | − | 1.30048i | −0.244821 | − | 0.0891074i | ||||
\(214\) | −0.111160 | + | 0.706198i | −0.00759877 | + | 0.0482747i | ||||
\(215\) | −6.66775 | − | 7.94631i | −0.454736 | − | 0.541934i | ||||
\(216\) | −2.63730 | − | 4.03576i | −0.179446 | − | 0.274598i | ||||
\(217\) | 2.74717 | + | 1.58608i | 0.186490 | + | 0.107670i | ||||
\(218\) | −2.87170 | + | 8.36594i | −0.194496 | + | 0.566613i | ||||
\(219\) | 0.560940 | + | 3.18125i | 0.0379048 | + | 0.214969i | ||||
\(220\) | 0.700903 | + | 19.0302i | 0.0472549 | + | 1.28301i | ||||
\(221\) | 1.66521 | − | 0.961412i | 0.112014 | − | 0.0646716i | ||||
\(222\) | −0.493874 | + | 0.0964885i | −0.0331467 | + | 0.00647588i | ||||
\(223\) | −26.3079 | + | 9.57530i | −1.76171 | + | 0.641210i | −0.999978 | − | 0.00668309i | \(-0.997873\pi\) |
−0.761732 | + | 0.647893i | \(0.775650\pi\) | |||||||
\(224\) | −22.3731 | + | 6.10938i | −1.49487 | + | 0.408200i | ||||
\(225\) | −0.423893 | − | 0.355689i | −0.0282596 | − | 0.0237126i | ||||
\(226\) | 6.45993 | − | 7.99292i | 0.429708 | − | 0.531681i | ||||
\(227\) | 6.26652 | 0.415924 | 0.207962 | − | 0.978137i | \(-0.433317\pi\) | ||||
0.207962 | + | 0.978137i | \(0.433317\pi\) | |||||||
\(228\) | 2.33082 | + | 0.934888i | 0.154362 | + | 0.0619144i | ||||
\(229\) | −12.6430 | −0.835472 | −0.417736 | − | 0.908569i | \(-0.637176\pi\) | ||||
−0.417736 | + | 0.908569i | \(0.637176\pi\) | |||||||
\(230\) | −5.10804 | + | 6.32022i | −0.336814 | + | 0.416743i | ||||
\(231\) | 3.78141 | + | 3.17298i | 0.248798 | + | 0.208767i | ||||
\(232\) | −6.94423 | + | 22.9482i | −0.455911 | + | 1.50663i | ||||
\(233\) | 6.32647 | − | 2.30265i | 0.414461 | − | 0.150851i | −0.126369 | − | 0.991983i | \(-0.540332\pi\) |
0.540830 | + | 0.841132i | \(0.318110\pi\) | |||||||
\(234\) | −2.35882 | + | 0.460843i | −0.154201 | + | 0.0301263i | ||||
\(235\) | 9.70967 | − | 5.60588i | 0.633389 | − | 0.365687i | ||||
\(236\) | 4.23689 | − | 0.156049i | 0.275798 | − | 0.0101580i | ||||
\(237\) | −0.516593 | − | 2.92975i | −0.0335563 | − | 0.190307i | ||||
\(238\) | −6.21276 | + | 18.0992i | −0.402713 | + | 1.17320i | ||||
\(239\) | 8.72510 | + | 5.03744i | 0.564380 | + | 0.325845i | 0.754901 | − | 0.655838i | \(-0.227685\pi\) |
−0.190522 | + | 0.981683i | \(0.561018\pi\) | |||||||
\(240\) | −2.61787 | + | 0.193100i | −0.168983 | + | 0.0124646i | ||||
\(241\) | 5.43427 | + | 6.47631i | 0.350052 | + | 0.417176i | 0.912125 | − | 0.409912i | \(-0.134440\pi\) |
−0.562073 | + | 0.827088i | \(0.689996\pi\) | |||||||
\(242\) | −1.42257 | + | 9.03752i | −0.0914460 | + | 0.580954i | ||||
\(243\) | 7.04109 | + | 2.56275i | 0.451686 | + | 0.164400i | ||||
\(244\) | 0.850902 | − | 6.13946i | 0.0544735 | − | 0.393038i | ||||
\(245\) | −3.88021 | + | 22.0058i | −0.247898 | + | 1.40590i | ||||
\(246\) | 2.50263 | + | 1.38411i | 0.159562 | + | 0.0882478i | ||||
\(247\) | 1.76298 | − | 1.82786i | 0.112176 | − | 0.116304i | ||||
\(248\) | −2.18509 | + | 0.120787i | −0.138753 | + | 0.00767000i | ||||
\(249\) | 0.423939 | + | 0.0747520i | 0.0268661 | + | 0.00473721i | ||||
\(250\) | 14.4627 | − | 5.56756i | 0.914705 | − | 0.352124i | ||||
\(251\) | 2.91664 | − | 8.01342i | 0.184097 | − | 0.505802i | −0.812973 | − | 0.582302i | \(-0.802152\pi\) |
0.997070 | + | 0.0764996i | \(0.0243744\pi\) | |||||||
\(252\) | 14.6898 | − | 18.8762i | 0.925371 | − | 1.18909i | ||||
\(253\) | −8.07605 | + | 6.77661i | −0.507737 | + | 0.426042i | ||||
\(254\) | −12.7120 | + | 0.234020i | −0.797623 | + | 0.0146837i | ||||
\(255\) | −1.08293 | + | 1.87569i | −0.0678158 | + | 0.117460i | ||||
\(256\) | 10.6150 | − | 11.9717i | 0.663440 | − | 0.748230i | ||||
\(257\) | −2.70278 | + | 0.476573i | −0.168595 | + | 0.0297278i | −0.257308 | − | 0.966329i | \(-0.582836\pi\) |
0.0887134 | + | 0.996057i | \(0.471724\pi\) | |||||||
\(258\) | 1.58916 | − | 0.956927i | 0.0989367 | − | 0.0595757i | ||||
\(259\) | −2.53208 | − | 4.38570i | −0.157336 | − | 0.272514i | ||||
\(260\) | −0.815454 | + | 2.52610i | −0.0505723 | + | 0.156662i | ||||
\(261\) | −8.45709 | − | 23.2357i | −0.523481 | − | 1.43825i | ||||
\(262\) | −12.8112 | − | 14.7093i | −0.791480 | − | 0.908741i | ||||
\(263\) | 1.42151 | − | 1.69409i | 0.0876540 | − | 0.104462i | −0.720435 | − | 0.693523i | \(-0.756058\pi\) |
0.808089 | + | 0.589061i | \(0.200502\pi\) | |||||||
\(264\) | −3.38126 | − | 0.405347i | −0.208102 | − | 0.0249474i | ||||
\(265\) | − | 1.54926i | − | 0.0951706i | ||||||
\(266\) | −1.28318 | + | 25.2406i | −0.0786769 | + | 1.54760i | ||||
\(267\) | − | 4.26784i | − | 0.261187i | ||||||
\(268\) | 26.1101 | − | 10.6072i | 1.59493 | − | 0.647935i | ||||
\(269\) | 9.64383 | − | 11.4931i | 0.587995 | − | 0.700745i | −0.387225 | − | 0.921985i | \(-0.626566\pi\) |
0.975219 | + | 0.221241i | \(0.0710106\pi\) | |||||||
\(270\) | 4.14098 | − | 3.60664i | 0.252012 | − | 0.219493i | ||||
\(271\) | −8.76172 | − | 24.0726i | −0.532237 | − | 1.46231i | −0.856403 | − | 0.516308i | \(-0.827306\pi\) |
0.324166 | − | 0.946000i | \(-0.394916\pi\) | |||||||
\(272\) | −3.24260 | − | 12.7971i | −0.196611 | − | 0.775940i | ||||
\(273\) | 0.344039 | + | 0.595893i | 0.0208222 | + | 0.0360651i | ||||
\(274\) | −5.46002 | − | 9.06740i | −0.329852 | − | 0.547782i | ||||
\(275\) | −0.780821 | + | 0.137680i | −0.0470853 | + | 0.00830240i | ||||
\(276\) | −0.974459 | − | 1.07810i | −0.0586555 | − | 0.0648941i | ||||
\(277\) | −4.24573 | + | 7.35381i | −0.255101 | + | 0.441848i | −0.964923 | − | 0.262533i | \(-0.915442\pi\) |
0.709822 | + | 0.704381i | \(0.248775\pi\) | |||||||
\(278\) | 0.501552 | + | 27.2445i | 0.0300811 | + | 1.63401i | ||||
\(279\) | 1.72894 | − | 1.45075i | 0.103509 | − | 0.0868542i | ||||
\(280\) | −10.3915 | − | 24.2874i | −0.621011 | − | 1.45145i | ||||
\(281\) | −0.393696 | + | 1.08167i | −0.0234859 | + | 0.0645270i | −0.950882 | − | 0.309555i | \(-0.899820\pi\) |
0.927396 | + | 0.374082i | \(0.122042\pi\) | |||||||
\(282\) | 0.720311 | + | 1.87114i | 0.0428939 | + | 0.111425i | ||||
\(283\) | 9.24245 | + | 1.62969i | 0.549407 | + | 0.0968752i | 0.441459 | − | 0.897281i | \(-0.354461\pi\) |
0.107948 | + | 0.994157i | \(0.465572\pi\) | |||||||
\(284\) | 14.0320 | + | 22.3608i | 0.832646 | + | 1.32687i | ||||
\(285\) | −0.690322 | + | 2.77596i | −0.0408911 | + | 0.164434i | ||||
\(286\) | −1.66667 | + | 3.01352i | −0.0985521 | + | 0.178193i | ||||
\(287\) | −4.99777 | + | 28.3437i | −0.295009 | + | 1.67308i | ||||
\(288\) | −1.35975 | + | 16.4450i | −0.0801238 | + | 0.969032i | ||||
\(289\) | 5.73912 | + | 2.08887i | 0.337595 | + | 0.122875i | ||||
\(290\) | −26.9775 | − | 4.24644i | −1.58417 | − | 0.249359i | ||||
\(291\) | −1.89997 | − | 2.26430i | −0.111378 | − | 0.132736i | ||||
\(292\) | 10.4913 | − | 19.8223i | 0.613955 | − | 1.16002i | ||||
\(293\) | −15.9687 | − | 9.21954i | −0.932902 | − | 0.538611i | −0.0451738 | − | 0.998979i | \(-0.514384\pi\) |
−0.887728 | + | 0.460368i | \(0.847717\pi\) | |||||||
\(294\) | −3.77952 | − | 1.29736i | −0.220426 | − | 0.0756637i | ||||
\(295\) | 0.838596 | + | 4.75591i | 0.0488249 | + | 0.276900i | ||||
\(296\) | 3.11743 | + | 1.57719i | 0.181197 | + | 0.0916723i | ||||
\(297\) | 6.16971 | − | 3.56209i | 0.358003 | − | 0.206693i | ||||
\(298\) | 0.553520 | + | 2.83318i | 0.0320645 | + | 0.164122i | ||||
\(299\) | −1.38092 | + | 0.502615i | −0.0798608 | + | 0.0290669i | ||||
\(300\) | −0.0229270 | − | 0.106860i | −0.00132369 | − | 0.00616958i | ||||
\(301\) | 14.3009 | + | 11.9999i | 0.824288 | + | 0.691660i | ||||
\(302\) | −10.5796 | − | 8.55047i | −0.608786 | − | 0.492024i | ||||
\(303\) | −2.52073 | −0.144812 | ||||||||
\(304\) | −8.78456 | − | 15.0609i | −0.503829 | − | 0.863803i | ||||
\(305\) | 7.05996 | 0.404252 | ||||||||
\(306\) | 10.5890 | + | 8.55812i | 0.605335 | + | 0.489235i | ||||
\(307\) | 4.28349 | + | 3.59427i | 0.244471 | + | 0.205136i | 0.756787 | − | 0.653661i | \(-0.226768\pi\) |
−0.512316 | + | 0.858797i | \(0.671212\pi\) | |||||||
\(308\) | −7.18941 | − | 33.5090i | −0.409655 | − | 1.90935i | ||||
\(309\) | −2.38255 | + | 0.867177i | −0.135539 | + | 0.0493320i | ||||
\(310\) | −0.477967 | − | 2.44646i | −0.0271467 | − | 0.138950i | ||||
\(311\) | −10.3643 | + | 5.98382i | −0.587704 | + | 0.339311i | −0.764189 | − | 0.644992i | \(-0.776861\pi\) |
0.176485 | + | 0.984303i | \(0.443527\pi\) | |||||||
\(312\) | −0.423572 | − | 0.214296i | −0.0239800 | − | 0.0121321i | ||||
\(313\) | −2.75949 | − | 15.6499i | −0.155976 | − | 0.884582i | −0.957888 | − | 0.287141i | \(-0.907295\pi\) |
0.801913 | − | 0.597441i | \(-0.203816\pi\) | |||||||
\(314\) | −10.1096 | − | 3.47024i | −0.570519 | − | 0.195837i | ||||
\(315\) | 23.5944 | + | 13.6222i | 1.32939 | + | 0.767525i | ||||
\(316\) | −9.66186 | + | 18.2552i | −0.543522 | + | 1.02694i | ||||
\(317\) | 10.8229 | + | 12.8982i | 0.607875 | + | 0.724437i | 0.978935 | − | 0.204172i | \(-0.0654500\pi\) |
−0.371060 | + | 0.928609i | \(0.621006\pi\) | |||||||
\(318\) | 0.273685 | + | 0.0430798i | 0.0153475 | + | 0.00241579i | ||||
\(319\) | −33.2929 | − | 12.1176i | −1.86405 | − | 0.678458i | ||||
\(320\) | 15.1671 | + | 10.1045i | 0.847865 | + | 0.564858i | ||||
\(321\) | 0.0252867 | − | 0.143408i | 0.00141137 | − | 0.00800425i | ||||
\(322\) | 7.07806 | − | 12.7979i | 0.394445 | − | 0.713202i | ||||
\(323\) | −14.3516 | − | 0.994743i | −0.798546 | − | 0.0553490i | ||||
\(324\) | −8.78102 | − | 13.9931i | −0.487834 | − | 0.777394i | ||||
\(325\) | −0.108840 | − | 0.0191915i | −0.00603738 | − | 0.00106455i | ||||
\(326\) | −8.41773 | − | 21.8666i | −0.466215 | − | 1.21108i | ||||
\(327\) | 0.616218 | − | 1.69304i | 0.0340769 | − | 0.0936255i | ||||
\(328\) | −7.81047 | − | 18.2549i | −0.431261 | − | 1.00796i | ||||
\(329\) | −15.4570 | + | 12.9699i | −0.852171 | + | 0.715056i | ||||
\(330\) | −0.0713974 | − | 3.87832i | −0.00393029 | − | 0.213495i | ||||
\(331\) | −7.28237 | + | 12.6134i | −0.400275 | + | 0.693297i | −0.993759 | − | 0.111549i | \(-0.964419\pi\) |
0.593484 | + | 0.804846i | \(0.297752\pi\) | |||||||
\(332\) | −2.00409 | − | 2.21724i | −0.109989 | − | 0.121687i | ||||
\(333\) | −3.54839 | + | 0.625676i | −0.194450 | + | 0.0342868i | ||||
\(334\) | 5.62848 | + | 9.34715i | 0.307977 | + | 0.511453i | ||||
\(335\) | 16.0505 | + | 27.8003i | 0.876934 | + | 1.51889i | ||||
\(336\) | 4.57942 | − | 1.16036i | 0.249828 | − | 0.0633027i | ||||
\(337\) | 0.136737 | + | 0.375681i | 0.00744853 | + | 0.0204647i | 0.943361 | − | 0.331768i | \(-0.107645\pi\) |
−0.935913 | + | 0.352232i | \(0.885423\pi\) | |||||||
\(338\) | 13.5017 | − | 11.7595i | 0.734394 | − | 0.639630i | ||||
\(339\) | −1.34560 | + | 1.60362i | −0.0730829 | + | 0.0870968i | ||||
\(340\) | 13.9314 | − | 5.65961i | 0.755539 | − | 0.306935i | ||||
\(341\) | − | 3.23387i | − | 0.175124i | ||||||
\(342\) | 16.5632 | + | 7.00009i | 0.895636 | + | 0.378521i | ||||
\(343\) | − | 11.5155i | − | 0.621779i | ||||||
\(344\) | −12.7875 | − | 1.53298i | −0.689458 | − | 0.0826526i | ||||
\(345\) | 1.06400 | − | 1.26803i | 0.0572840 | − | 0.0682684i | ||||
\(346\) | −8.66409 | − | 9.94771i | −0.465784 | − | 0.534792i | ||||
\(347\) | −6.38859 | − | 17.5525i | −0.342958 | − | 0.942268i | −0.984532 | − | 0.175207i | \(-0.943941\pi\) |
0.641574 | − | 0.767061i | \(-0.278282\pi\) | |||||||
\(348\) | 1.50030 | − | 4.64762i | 0.0804248 | − | 0.249138i | ||||
\(349\) | −3.47936 | − | 6.02643i | −0.186246 | − | 0.322587i | 0.757750 | − | 0.652545i | \(-0.226299\pi\) |
−0.943996 | + | 0.329958i | \(0.892965\pi\) | |||||||
\(350\) | 0.942243 | − | 0.567381i | 0.0503650 | − | 0.0303278i | ||||
\(351\) | 0.977967 | − | 0.172442i | 0.0522000 | − | 0.00920427i | ||||
\(352\) | 16.7980 | + | 16.6385i | 0.895337 | + | 0.886836i | ||||
\(353\) | −2.82935 | + | 4.90058i | −0.150591 | + | 0.260831i | −0.931445 | − | 0.363882i | \(-0.881451\pi\) |
0.780854 | + | 0.624714i | \(0.214784\pi\) | |||||||
\(354\) | −0.863472 | + | 0.0158959i | −0.0458930 | + | 0.000844860i | ||||
\(355\) | −23.0346 | + | 19.3284i | −1.22255 | + | 1.02584i | ||||
\(356\) | −18.1979 | + | 23.3841i | −0.964488 | + | 1.23935i | ||||
\(357\) | 1.33315 | − | 3.66281i | 0.0705579 | − | 0.193856i | ||||
\(358\) | −2.08891 | + | 0.804144i | −0.110402 | + | 0.0425003i | ||||
\(359\) | 22.1724 | + | 3.90959i | 1.17022 | + | 0.206340i | 0.724784 | − | 0.688976i | \(-0.241939\pi\) |
0.445431 | + | 0.895316i | \(0.353051\pi\) | |||||||
\(360\) | −18.7669 | + | 1.03740i | −0.989102 | + | 0.0546756i | ||||
\(361\) | −18.5800 | + | 3.97305i | −0.977893 | + | 0.209108i | ||||
\(362\) | 16.4695 | + | 9.10865i | 0.865617 | + | 0.478740i | ||||
\(363\) | 0.323605 | − | 1.83525i | 0.0169848 | − | 0.0963258i | ||||
\(364\) | 0.655829 | − | 4.73196i | 0.0343748 | − | 0.248022i | ||||
\(365\) | 24.0053 | + | 8.73722i | 1.25650 | + | 0.457327i | ||||
\(366\) | −0.196314 | + | 1.24717i | −0.0102615 | + | 0.0651908i | ||||
\(367\) | 19.3515 | + | 23.0622i | 1.01014 | + | 1.20384i | 0.978903 | + | 0.204323i | \(0.0654994\pi\) |
0.0312345 | + | 0.999512i | \(0.490056\pi\) | |||||||
\(368\) | 0.742207 | + | 10.0621i | 0.0386902 | + | 0.524525i | ||||
\(369\) | 17.7340 | + | 10.2387i | 0.923197 | + | 0.533008i | ||||
\(370\) | −1.29200 | + | 3.76391i | −0.0671680 | + | 0.195676i | ||||
\(371\) | 0.484164 | + | 2.74583i | 0.0251366 | + | 0.142557i | ||||
\(372\) | 0.445469 | − | 0.0164071i | 0.0230965 | − | 0.000850671i | ||||
\(373\) | 15.0172 | − | 8.67020i | 0.777562 | − | 0.448926i | −0.0580034 | − | 0.998316i | \(-0.518473\pi\) |
0.835566 | + | 0.549391i | \(0.185140\pi\) | |||||||
\(374\) | 19.1462 | − | 3.74060i | 0.990025 | − | 0.193422i | ||||
\(375\) | −2.96636 | + | 1.07967i | −0.153182 | + | 0.0557538i | ||||
\(376\) | 4.03178 | − | 13.3236i | 0.207923 | − | 0.687113i | ||||
\(377\) | −3.78320 | − | 3.17448i | −0.194844 | − | 0.163494i | ||||
\(378\) | −6.21213 | + | 7.68633i | −0.319518 | + | 0.395342i | ||||
\(379\) | 13.0139 | 0.668480 | 0.334240 | − | 0.942488i | \(-0.391520\pi\) | ||||
0.334240 | + | 0.942488i | \(0.391520\pi\) | |||||||
\(380\) | 15.6190 | − | 12.2664i | 0.801237 | − | 0.629252i | ||||
\(381\) | 2.58981 | 0.132680 | ||||||||
\(382\) | −11.2721 | + | 13.9471i | −0.576732 | + | 0.713595i | ||||
\(383\) | −21.9719 | − | 18.4366i | −1.12271 | − | 0.942068i | −0.123975 | − | 0.992285i | \(-0.539564\pi\) |
−0.998738 | + | 0.0502175i | \(0.984009\pi\) | |||||||
\(384\) | −2.20675 | + | 2.39836i | −0.112613 | + | 0.122391i | ||||
\(385\) | 36.6827 | − | 13.3514i | 1.86952 | − | 0.680450i | ||||
\(386\) | −30.4881 | + | 5.95648i | −1.55180 | + | 0.303177i | ||||
\(387\) | 11.5030 | − | 6.64124i | 0.584729 | − | 0.337593i | ||||
\(388\) | 0.755327 | + | 20.5078i | 0.0383459 | + | 1.04113i | ||||
\(389\) | 5.59981 | + | 31.7581i | 0.283921 | + | 1.61020i | 0.709113 | + | 0.705095i | \(0.249096\pi\) |
−0.425191 | + | 0.905104i | \(0.639793\pi\) | |||||||
\(390\) | 0.175547 | − | 0.511409i | 0.00888916 | − | 0.0258962i | ||||
\(391\) | 7.20948 | + | 4.16240i | 0.364599 | + | 0.210501i | ||||
\(392\) | 15.1767 | + | 23.2242i | 0.766537 | + | 1.17300i | ||||
\(393\) | 2.55399 | + | 3.04373i | 0.128832 | + | 0.153536i | ||||
\(394\) | −0.999201 | + | 6.34789i | −0.0503390 | + | 0.319802i | ||||
\(395\) | −22.1075 | − | 8.04648i | −1.11235 | − | 0.404862i | ||||
\(396\) | −24.1531 | − | 3.34752i | −1.21374 | − | 0.168219i | ||||
\(397\) | 2.86736 | − | 16.2616i | 0.143909 | − | 0.816146i | −0.824328 | − | 0.566112i | \(-0.808447\pi\) |
0.968237 | − | 0.250034i | \(-0.0804419\pi\) | |||||||
\(398\) | −15.0775 | − | 8.33878i | −0.755765 | − | 0.417985i | ||||
\(399\) | 0.355967 | − | 5.13570i | 0.0178206 | − | 0.257106i | ||||
\(400\) | −0.330028 | + | 0.683264i | −0.0165014 | + | 0.0341632i | ||||
\(401\) | −22.0221 | − | 3.88308i | −1.09973 | − | 0.193912i | −0.405805 | − | 0.913960i | \(-0.633009\pi\) |
−0.693925 | + | 0.720048i | \(0.744120\pi\) | |||||||
\(402\) | −5.35736 | + | 2.06237i | −0.267201 | + | 0.102861i | ||||
\(403\) | 0.154175 | − | 0.423591i | 0.00767999 | − | 0.0211006i | ||||
\(404\) | 13.8115 | + | 10.7483i | 0.687146 | + | 0.534749i | ||||
\(405\) | 14.4147 | − | 12.0954i | 0.716274 | − | 0.601026i | ||||
\(406\) | 49.1405 | − | 0.904644i | 2.43880 | − | 0.0448967i | ||||
\(407\) | −2.58135 | + | 4.47103i | −0.127953 | + | 0.221621i | ||||
\(408\) | 0.612410 | + | 2.61843i | 0.0303188 | + | 0.129631i | ||||
\(409\) | −21.3931 | + | 3.77218i | −1.05782 | + | 0.186522i | −0.675389 | − | 0.737462i | \(-0.736024\pi\) |
−0.382431 | + | 0.923984i | \(0.624913\pi\) | |||||||
\(410\) | 19.3749 | − | 11.6668i | 0.956860 | − | 0.576183i | ||||
\(411\) | 1.07799 | + | 1.86714i | 0.0531736 | + | 0.0920993i | ||||
\(412\) | 16.7520 | + | 5.40773i | 0.825310 | + | 0.266420i | ||||
\(413\) | −2.97256 | − | 8.16705i | −0.146270 | − | 0.401874i | ||||
\(414\) | −6.83410 | − | 7.84661i | −0.335878 | − | 0.385640i | ||||
\(415\) | 2.18824 | − | 2.60785i | 0.107417 | − | 0.128014i | ||||
\(416\) | 1.40706 | + | 2.98025i | 0.0689868 | + | 0.146119i | ||||
\(417\) | − | 5.55050i | − | 0.271809i | ||||||
\(418\) | 22.9383 | − | 11.7329i | 1.12195 | − | 0.573877i | ||||
\(419\) | − | 13.1962i | − | 0.644678i | −0.946624 | − | 0.322339i | \(-0.895531\pi\) | ||
0.946624 | − | 0.322339i | \(-0.104469\pi\) | |||||||
\(420\) | 2.02528 | + | 4.98534i | 0.0988235 | + | 0.243260i | ||||
\(421\) | −4.59262 | + | 5.47327i | −0.223830 | + | 0.266751i | −0.866259 | − | 0.499595i | \(-0.833482\pi\) |
0.642429 | + | 0.766345i | \(0.277927\pi\) | |||||||
\(422\) | 3.90332 | − | 3.39965i | 0.190011 | − | 0.165492i | ||||
\(423\) | 4.91013 | + | 13.4905i | 0.238739 | + | 0.655930i | ||||
\(424\) | −1.31587 | − | 1.40302i | −0.0639041 | − | 0.0681368i | ||||
\(425\) | 0.313039 | + | 0.542200i | 0.0151846 | + | 0.0263005i | ||||
\(426\) | −2.77393 | − | 4.60663i | −0.134397 | − | 0.223192i | ||||
\(427\) | −12.5127 | + | 2.20633i | −0.605532 | + | 0.106772i | ||||
\(428\) | −0.750036 | + | 0.677931i | −0.0362544 | + | 0.0327691i | ||||
\(429\) | 0.350733 | − | 0.607487i | 0.0169335 | − | 0.0293297i | ||||
\(430\) | −0.270017 | − | 14.6674i | −0.0130214 | − | 0.707325i | ||||
\(431\) | 10.9959 | − | 9.22664i | 0.529653 | − | 0.444432i | −0.338329 | − | 0.941028i | \(-0.609862\pi\) |
0.867982 | + | 0.496596i | \(0.165417\pi\) | |||||||
\(432\) | 0.686798 | − | 6.78334i | 0.0330436 | − | 0.326364i | ||||
\(433\) | −9.93835 | + | 27.3054i | −0.477607 | + | 1.31221i | 0.433912 | + | 0.900955i | \(0.357133\pi\) |
−0.911519 | + | 0.411258i | \(0.865089\pi\) | |||||||
\(434\) | 1.61167 | + | 4.18661i | 0.0773627 | + | 0.200964i | ||||
\(435\) | 5.47833 | + | 0.965977i | 0.262666 | + | 0.0463151i | ||||
\(436\) | −10.5954 | + | 6.64890i | −0.507429 | + | 0.318425i | ||||
\(437\) | 10.6698 | + | 2.65335i | 0.510405 | + | 0.126927i | ||||
\(438\) | −2.21098 | + | 3.99769i | −0.105644 | + | 0.191017i | ||||
\(439\) | 4.75454 | − | 26.9643i | 0.226922 | − | 1.28694i | −0.632055 | − | 0.774923i | \(-0.717788\pi\) |
0.858977 | − | 0.512014i | \(-0.171100\pi\) | |||||||
\(440\) | −16.1459 | + | 21.5543i | −0.769723 | + | 1.02756i | ||||
\(441\) | −26.8868 | − | 9.78599i | −1.28032 | − | 0.466000i | ||||
\(442\) | 2.68621 | + | 0.422827i | 0.127770 | + | 0.0201118i | ||||
\(443\) | −9.24631 | − | 11.0193i | −0.439305 | − | 0.523544i | 0.500278 | − | 0.865865i | \(-0.333231\pi\) |
−0.939583 | + | 0.342321i | \(0.888787\pi\) | |||||||
\(444\) | −0.628985 | − | 0.332899i | −0.0298503 | − | 0.0157987i | ||||
\(445\) | −29.2290 | − | 16.8754i | −1.38559 | − | 0.799969i | ||||
\(446\) | −37.4480 | − | 12.8544i | −1.77321 | − | 0.608675i | ||||
\(447\) | −0.102108 | − | 0.579082i | −0.00482953 | − | 0.0273896i | ||||
\(448\) | −30.0391 | − | 13.1688i | −1.41921 | − | 0.622165i | ||||
\(449\) | −19.6084 | + | 11.3209i | −0.925380 | + | 0.534268i | −0.885347 | − | 0.464930i | \(-0.846079\pi\) |
−0.0400325 | + | 0.999198i | \(0.512746\pi\) | |||||||
\(450\) | −0.150052 | − | 0.768039i | −0.00707353 | − | 0.0362057i | ||||
\(451\) | 27.5715 | − | 10.0352i | 1.29829 | − | 0.472539i | ||||
\(452\) | 14.2105 | − | 3.04889i | 0.668407 | − | 0.143408i | ||||
\(453\) | 2.12258 | + | 1.78106i | 0.0997276 | + | 0.0836814i | ||||
\(454\) | 6.89254 | + | 5.57059i | 0.323483 | + | 0.261441i | ||||
\(455\) | 5.44144 | 0.255099 | ||||||||
\(456\) | 1.73260 | + | 3.10025i | 0.0811365 | + | 0.145183i | ||||
\(457\) | 20.3699 | 0.952862 | 0.476431 | − | 0.879212i | \(-0.341930\pi\) | ||||
0.476431 | + | 0.879212i | \(0.341930\pi\) | |||||||
\(458\) | −13.9060 | − | 11.2389i | −0.649785 | − | 0.525160i | ||||
\(459\) | −4.30940 | − | 3.61602i | −0.201146 | − | 0.168781i | ||||
\(460\) | −11.2367 | + | 2.41084i | −0.523912 | + | 0.112406i | ||||
\(461\) | −17.2074 | + | 6.26298i | −0.801429 | + | 0.291696i | −0.710078 | − | 0.704123i | \(-0.751341\pi\) |
−0.0913504 | + | 0.995819i | \(0.529118\pi\) | |||||||
\(462\) | 1.33856 | + | 6.85142i | 0.0622757 | + | 0.318757i | ||||
\(463\) | 8.71218 | − | 5.02998i | 0.404890 | − | 0.233763i | −0.283702 | − | 0.958912i | \(-0.591563\pi\) |
0.688592 | + | 0.725149i | \(0.258229\pi\) | |||||||
\(464\) | −28.0377 | + | 19.0677i | −1.30162 | + | 0.885196i | ||||
\(465\) | 0.0881705 | + | 0.500040i | 0.00408881 | + | 0.0231888i | ||||
\(466\) | 9.00540 | + | 3.09120i | 0.417167 | + | 0.143197i | ||||
\(467\) | −4.54318 | − | 2.62300i | −0.210233 | − | 0.121378i | 0.391187 | − | 0.920311i | \(-0.372065\pi\) |
−0.601420 | + | 0.798933i | \(0.705398\pi\) | |||||||
\(468\) | −3.00413 | − | 1.58998i | −0.138866 | − | 0.0734967i | ||||
\(469\) | −37.1350 | − | 44.2558i | −1.71474 | − | 2.04354i | ||||
\(470\) | 15.6630 | + | 2.46546i | 0.722479 | + | 0.113723i | ||||
\(471\) | 2.04592 | + | 0.744654i | 0.0942711 | + | 0.0343119i | ||||
\(472\) | 4.79887 | + | 3.59472i | 0.220886 | + | 0.165460i | ||||
\(473\) | 3.30481 | − | 18.7425i | 0.151955 | − | 0.861782i | ||||
\(474\) | 2.03618 | − | 3.68165i | 0.0935249 | − | 0.169104i | ||||
\(475\) | 0.595156 | + | 0.574033i | 0.0273076 | + | 0.0263384i | ||||
\(476\) | −22.9226 | + | 14.3845i | −1.05066 | + | 0.659314i | ||||
\(477\) | 1.95364 | + | 0.344480i | 0.0894511 | + | 0.0157726i | ||||
\(478\) | 5.11872 | + | 13.2968i | 0.234125 | + | 0.608181i | ||||
\(479\) | −1.67304 | + | 4.59663i | −0.0764430 | + | 0.210025i | −0.972028 | − | 0.234865i | \(-0.924535\pi\) |
0.895585 | + | 0.444890i | \(0.146757\pi\) | |||||||
\(480\) | −3.05105 | − | 2.11475i | −0.139261 | − | 0.0965247i | ||||
\(481\) | −0.551276 | + | 0.462575i | −0.0251360 | + | 0.0210916i | ||||
\(482\) | 0.220066 | + | 11.9541i | 0.0100237 | + | 0.544492i | ||||
\(483\) | −1.48950 | + | 2.57990i | −0.0677748 | + | 0.117389i | ||||
\(484\) | −9.59854 | + | 8.67578i | −0.436297 | + | 0.394354i | ||||
\(485\) | −23.0201 | + | 4.05906i | −1.04529 | + | 0.184312i | ||||
\(486\) | 5.46634 | + | 9.07790i | 0.247958 | + | 0.411782i | ||||
\(487\) | −9.66172 | − | 16.7346i | −0.437814 | − | 0.758317i | 0.559706 | − | 0.828691i | \(-0.310914\pi\) |
−0.997521 | + | 0.0703744i | \(0.977581\pi\) | |||||||
\(488\) | 6.39354 | − | 5.99638i | 0.289422 | − | 0.271443i | ||||
\(489\) | 1.63238 | + | 4.48492i | 0.0738186 | + | 0.202815i | ||||
\(490\) | −23.8298 | + | 20.7548i | −1.07652 | + | 0.937608i | ||||
\(491\) | 14.7254 | − | 17.5490i | 0.664547 | − | 0.791977i | −0.323483 | − | 0.946234i | \(-0.604854\pi\) |
0.988031 | + | 0.154257i | \(0.0492984\pi\) | |||||||
\(492\) | 1.52224 | + | 3.74708i | 0.0686280 | + | 0.168932i | ||||
\(493\) | 27.9766i | 1.26000i | ||||||||
\(494\) | 3.56396 | − | 0.443264i | 0.160350 | − | 0.0199434i | ||||
\(495\) | − | 27.7745i | − | 1.24837i | ||||||
\(496\) | −2.51075 | − | 1.80957i | −0.112736 | − | 0.0812521i | ||||
\(497\) | 34.7850 | − | 41.4551i | 1.56032 | − | 1.85952i | ||||
\(498\) | 0.399840 | + | 0.459078i | 0.0179173 | + | 0.0205718i | ||||
\(499\) | −0.869506 | − | 2.38895i | −0.0389245 | − | 0.106944i | 0.918708 | − | 0.394938i | \(-0.129234\pi\) |
−0.957632 | + | 0.287994i | \(0.907012\pi\) | |||||||
\(500\) | 20.8568 | + | 6.73282i | 0.932745 | + | 0.301101i | ||||
\(501\) | −1.11125 | − | 1.92475i | −0.0496472 | − | 0.0859914i | ||||
\(502\) | 10.3315 | − | 6.22121i | 0.461117 | − | 0.277666i | ||||
\(503\) | 39.8057 | − | 7.01881i | 1.77485 | − | 0.312953i | 0.812132 | − | 0.583473i | \(-0.198307\pi\) |
0.962714 | + | 0.270520i | \(0.0871955\pi\) | |||||||
\(504\) | 32.9372 | − | 7.70351i | 1.46714 | − | 0.343142i | ||||
\(505\) | −9.96719 | + | 17.2637i | −0.443534 | + | 0.768224i | ||||
\(506\) | −14.9069 | + | 0.274425i | −0.662691 | + | 0.0121997i | ||||
\(507\) | −2.79385 | + | 2.34432i | −0.124079 | + | 0.104115i | ||||
\(508\) | −14.1900 | − | 11.0429i | −0.629578 | − | 0.489949i | ||||
\(509\) | 2.34020 | − | 6.42964i | 0.103728 | − | 0.284989i | −0.876962 | − | 0.480559i | \(-0.840434\pi\) |
0.980690 | + | 0.195570i | \(0.0626558\pi\) | |||||||
\(510\) | −2.85850 | + | 1.10041i | −0.126577 | + | 0.0487268i | ||||
\(511\) | −45.2762 | − | 7.98342i | −2.00290 | − | 0.353166i | ||||
\(512\) | 22.3176 | − | 3.73145i | 0.986309 | − | 0.164909i | ||||
\(513\) | −6.78927 | − | 3.01781i | −0.299754 | − | 0.133239i | ||||
\(514\) | −3.39643 | − | 1.87844i | −0.149810 | − | 0.0828545i | ||||
\(515\) | −3.48179 | + | 19.7462i | −0.153426 | + | 0.870121i | ||||
\(516\) | 2.59857 | + | 0.360151i | 0.114396 | + | 0.0158547i | ||||
\(517\) | 19.3297 | + | 7.03543i | 0.850118 | + | 0.309418i | ||||
\(518\) | 1.11361 | − | 7.07471i | 0.0489291 | − | 0.310845i | ||||
\(519\) | 1.72724 | + | 2.05844i | 0.0758173 | + | 0.0903555i | ||||
\(520\) | −3.14248 | + | 2.05356i | −0.137807 | + | 0.0900546i | ||||
\(521\) | 32.2497 | + | 18.6194i | 1.41288 | + | 0.815729i | 0.995659 | − | 0.0930744i | \(-0.0296694\pi\) |
0.417225 | + | 0.908803i | \(0.363003\pi\) | |||||||
\(522\) | 11.3533 | − | 33.0748i | 0.496919 | − | 1.44764i | ||||
\(523\) | 7.68298 | + | 43.5724i | 0.335953 | + | 1.90529i | 0.417611 | + | 0.908626i | \(0.362868\pi\) |
−0.0816571 | + | 0.996660i | \(0.526021\pi\) | |||||||
\(524\) | −1.01533 | − | 27.5672i | −0.0443549 | − | 1.20428i | ||||
\(525\) | −0.194025 | + | 0.112020i | −0.00846794 | + | 0.00488897i | ||||
\(526\) | 3.06947 | − | 0.599683i | 0.133835 | − | 0.0261474i | ||||
\(527\) | −2.39959 | + | 0.873380i | −0.104528 | + | 0.0380450i | ||||
\(528\) | −3.35871 | − | 3.45159i | −0.146169 | − | 0.150211i | ||||
\(529\) | 12.7452 | + | 10.6945i | 0.554138 | + | 0.464977i | ||||
\(530\) | 1.37721 | − | 1.70403i | 0.0598222 | − | 0.0740185i | ||||
\(531\) | −6.18373 | −0.268351 | ||||||||
\(532\) | −23.8488 | + | 26.6214i | −1.03398 | + | 1.15418i | ||||
\(533\) | 4.08990 | 0.177153 | ||||||||
\(534\) | 3.79387 | − | 4.69419i | 0.164177 | − | 0.203137i | ||||
\(535\) | −0.882168 | − | 0.740227i | −0.0381395 | − | 0.0320028i | ||||
\(536\) | 38.1476 | + | 11.5436i | 1.64773 | + | 0.498609i | ||||
\(537\) | 0.428443 | − | 0.155940i | 0.0184887 | − | 0.00672933i | ||||
\(538\) | 20.8239 | − | 4.06838i | 0.897784 | − | 0.175400i | ||||
\(539\) | −35.5043 | + | 20.4984i | −1.52928 | + | 0.882930i | ||||
\(540\) | 7.76077 | − | 0.285838i | 0.333970 | − | 0.0123005i | ||||
\(541\) | 6.37799 | + | 36.1714i | 0.274211 | + | 1.55513i | 0.741456 | + | 0.671001i | \(0.234135\pi\) |
−0.467245 | + | 0.884128i | \(0.654753\pi\) | |||||||
\(542\) | 11.7622 | − | 34.2662i | 0.505231 | − | 1.47186i | ||||
\(543\) | −3.32003 | − | 1.91682i | −0.142476 | − | 0.0822587i | ||||
\(544\) | 7.80940 | − | 16.9580i | 0.334825 | − | 0.727070i | ||||
\(545\) | −9.15853 | − | 10.9147i | −0.392308 | − | 0.467535i | ||||
\(546\) | −0.151308 | + | 0.961254i | −0.00647538 | + | 0.0411379i | ||||
\(547\) | 30.6008 | + | 11.1378i | 1.30840 | + | 0.476217i | 0.899722 | − | 0.436464i | \(-0.143769\pi\) |
0.408673 | + | 0.912681i | \(0.365992\pi\) | |||||||
\(548\) | 2.05494 | − | 14.8269i | 0.0877828 | − | 0.633373i | ||||
\(549\) | −1.56979 | + | 8.90270i | −0.0669969 | + | 0.379958i | ||||
\(550\) | −0.981214 | − | 0.542673i | −0.0418391 | − | 0.0231396i | ||||
\(551\) | 10.2063 | + | 35.5118i | 0.434805 | + | 1.51285i | ||||
\(552\) | −0.113433 | − | 2.05204i | −0.00482802 | − | 0.0873408i | ||||
\(553\) | 41.6968 | + | 7.35227i | 1.77313 | + | 0.312650i | ||||
\(554\) | −11.2070 | + | 4.31424i | −0.476140 | + | 0.183294i | ||||
\(555\) | 0.277242 | − | 0.761715i | 0.0117683 | − | 0.0323330i | ||||
\(556\) | −23.6672 | + | 30.4120i | −1.00371 | + | 1.28976i | ||||
\(557\) | 9.87223 | − | 8.28378i | 0.418300 | − | 0.350995i | −0.409216 | − | 0.912438i | \(-0.634198\pi\) |
0.827516 | + | 0.561442i | \(0.189753\pi\) | |||||||
\(558\) | 3.19130 | − | 0.0587496i | 0.135098 | − | 0.00248707i | ||||
\(559\) | 1.32643 | − | 2.29745i | 0.0561021 | − | 0.0971717i | ||||
\(560\) | 10.1605 | − | 35.9511i | 0.429360 | − | 1.51921i | ||||
\(561\) | −3.91334 | + | 0.690028i | −0.165221 | + | 0.0291330i | ||||
\(562\) | −1.39457 | + | 0.839754i | −0.0588264 | + | 0.0354229i | ||||
\(563\) | −2.06206 | − | 3.57160i | −0.0869055 | − | 0.150525i | 0.819296 | − | 0.573371i | \(-0.194365\pi\) |
−0.906202 | + | 0.422846i | \(0.861031\pi\) | |||||||
\(564\) | −0.871068 | + | 2.69838i | −0.0366786 | + | 0.113622i | ||||
\(565\) | 5.66208 | + | 15.5564i | 0.238205 | + | 0.654464i | ||||
\(566\) | 8.71705 | + | 10.0085i | 0.366405 | + | 0.420690i | ||||
\(567\) | −21.7679 | + | 25.9420i | −0.914168 | + | 1.08946i | ||||
\(568\) | −4.44377 | + | 37.0683i | −0.186456 | + | 1.55535i | ||||
\(569\) | − | 2.71200i | − | 0.113693i | −0.998383 | − | 0.0568466i | \(-0.981895\pi\) | ||
0.998383 | − | 0.0568466i | \(-0.0181046\pi\) | |||||||
\(570\) | −3.22696 | + | 2.43962i | −0.135162 | + | 0.102184i | ||||
\(571\) | 27.8695i | 1.16630i | 0.812363 | + | 0.583152i | \(0.198181\pi\) | ||||
−0.812363 | + | 0.583152i | \(0.801819\pi\) | |||||||
\(572\) | −4.51202 | + | 1.83300i | −0.188657 | + | 0.0766414i | ||||
\(573\) | 2.34798 | − | 2.79821i | 0.0980881 | − | 0.116897i | ||||
\(574\) | −30.6931 | + | 26.7325i | −1.28110 | + | 1.11579i | ||||
\(575\) | −0.163653 | − | 0.449633i | −0.00682480 | − | 0.0187510i | ||||
\(576\) | −16.1143 | + | 16.8791i | −0.671429 | + | 0.703297i | ||||
\(577\) | −20.7062 | − | 35.8643i | −0.862012 | − | 1.49305i | −0.869983 | − | 0.493081i | \(-0.835871\pi\) |
0.00797112 | − | 0.999968i | \(-0.497463\pi\) | |||||||
\(578\) | 4.45556 | + | 7.39931i | 0.185327 | + | 0.307771i | ||||
\(579\) | 6.23156 | − | 1.09879i | 0.258975 | − | 0.0456642i | ||||
\(580\) | −25.8977 | − | 28.6521i | −1.07534 | − | 1.18972i | ||||
\(581\) | −3.06334 | + | 5.30586i | −0.127089 | + | 0.220124i | ||||
\(582\) | −0.0769412 | − | 4.17947i | −0.00318932 | − | 0.173245i | ||||
\(583\) | 2.17743 | − | 1.82708i | 0.0901801 | − | 0.0756701i | ||||
\(584\) | 29.1603 | − | 12.4764i | 1.20666 | − | 0.516278i | ||||
\(585\) | 1.32415 | − | 3.63807i | 0.0547468 | − | 0.150415i | ||||
\(586\) | −9.36831 | − | 24.3359i | −0.387001 | − | 1.00531i | ||||
\(587\) | −14.7610 | − | 2.60276i | −0.609252 | − | 0.107428i | −0.139494 | − | 0.990223i | \(-0.544548\pi\) |
−0.469758 | + | 0.882795i | \(0.655659\pi\) | |||||||
\(588\) | −3.00381 | − | 4.78676i | −0.123875 | − | 0.197402i | ||||
\(589\) | −2.72727 | + | 1.98403i | −0.112375 | + | 0.0817504i | ||||
\(590\) | −3.30537 | + | 5.97649i | −0.136080 | + | 0.246048i | ||||
\(591\) | 0.227298 | − | 1.28907i | 0.00934977 | − | 0.0530252i | ||||
\(592\) | 2.02683 | + | 4.50598i | 0.0833021 | + | 0.185194i | ||||
\(593\) | −7.47341 | − | 2.72010i | −0.306896 | − | 0.111701i | 0.183981 | − | 0.982930i | \(-0.441101\pi\) |
−0.490877 | + | 0.871229i | \(0.663324\pi\) | |||||||
\(594\) | 9.95256 | + | 1.56660i | 0.408358 | + | 0.0642783i | ||||
\(595\) | −19.8140 | − | 23.6134i | −0.812293 | − | 0.968053i | ||||
\(596\) | −1.90972 | + | 3.60826i | −0.0782253 | + | 0.147800i | ||||
\(597\) | 3.03942 | + | 1.75481i | 0.124395 | + | 0.0718195i | ||||
\(598\) | −1.96567 | − | 0.674738i | −0.0803823 | − | 0.0275921i | ||||
\(599\) | −4.61115 | − | 26.1511i | −0.188407 | − | 1.06851i | −0.921500 | − | 0.388379i | \(-0.873035\pi\) |
0.733093 | − | 0.680128i | \(-0.238076\pi\) | |||||||
\(600\) | 0.0697755 | − | 0.137916i | 0.00284857 | − | 0.00563041i | ||||
\(601\) | 22.0067 | − | 12.7056i | 0.897673 | − | 0.518272i | 0.0212282 | − | 0.999775i | \(-0.493242\pi\) |
0.876444 | + | 0.481503i | \(0.159909\pi\) | |||||||
\(602\) | 5.06230 | + | 25.9113i | 0.206324 | + | 1.05607i | ||||
\(603\) | −38.6254 | + | 14.0585i | −1.57295 | + | 0.572506i | ||||
\(604\) | −4.03556 | − | 18.8093i | −0.164205 | − | 0.765340i | ||||
\(605\) | −11.2895 | − | 9.47300i | −0.458983 | − | 0.385132i | ||||
\(606\) | −2.77255 | − | 2.24079i | −0.112627 | − | 0.0910260i | ||||
\(607\) | 13.6931 | 0.555787 | 0.277894 | − | 0.960612i | \(-0.410364\pi\) | ||||
0.277894 | + | 0.960612i | \(0.410364\pi\) | |||||||
\(608\) | 3.72619 | − | 24.3745i | 0.151117 | − | 0.988516i | ||||
\(609\) | −10.0114 | −0.405681 | ||||||||
\(610\) | 7.76525 | + | 6.27592i | 0.314406 | + | 0.254104i | ||||
\(611\) | 2.19650 | + | 1.84308i | 0.0888609 | + | 0.0745631i | ||||
\(612\) | 4.03918 | + | 18.8261i | 0.163274 | + | 0.761001i | ||||
\(613\) | 18.5018 | − | 6.73412i | 0.747282 | − | 0.271988i | 0.0598205 | − | 0.998209i | \(-0.480947\pi\) |
0.687462 | + | 0.726221i | \(0.258725\pi\) | |||||||
\(614\) | 1.51629 | + | 7.76112i | 0.0611926 | + | 0.313213i | ||||
\(615\) | −3.98965 | + | 2.30343i | −0.160878 | + | 0.0928831i | ||||
\(616\) | 21.8800 | − | 43.2475i | 0.881571 | − | 1.74249i | ||||
\(617\) | 0.953161 | + | 5.40564i | 0.0383728 | + | 0.217623i | 0.997964 | − | 0.0637735i | \(-0.0203135\pi\) |
−0.959592 | + | 0.281396i | \(0.909202\pi\) | |||||||
\(618\) | −3.39144 | − | 1.16415i | −0.136424 | − | 0.0468289i | ||||
\(619\) | 12.3997 | + | 7.15899i | 0.498388 | + | 0.287744i | 0.728047 | − | 0.685527i | \(-0.240428\pi\) |
−0.229660 | + | 0.973271i | \(0.573761\pi\) | |||||||
\(620\) | 1.64905 | − | 3.11575i | 0.0662276 | − | 0.125131i | ||||
\(621\) | 2.76359 | + | 3.29352i | 0.110899 | + | 0.132165i | ||||
\(622\) | −16.7189 | − | 2.63167i | −0.670369 | − | 0.105521i | ||||
\(623\) | 57.0776 | + | 20.7746i | 2.28677 | + | 0.832315i | ||||
\(624\) | −0.275389 | − | 0.612236i | −0.0110244 | − | 0.0245090i | ||||
\(625\) | −4.49966 | + | 25.5188i | −0.179986 | + | 1.02075i | ||||
\(626\) | 10.8767 | − | 19.6663i | 0.434720 | − | 0.786023i | ||||
\(627\) | −4.71562 | + | 2.30353i | −0.188324 | + | 0.0919943i | ||||
\(628\) | −8.03472 | − | 12.8038i | −0.320620 | − | 0.510928i | ||||
\(629\) | 4.01473 | + | 0.707906i | 0.160078 | + | 0.0282261i | ||||
\(630\) | 13.8420 | + | 35.9572i | 0.551480 | + | 1.43257i | ||||
\(631\) | 0.896513 | − | 2.46315i | 0.0356896 | − | 0.0980565i | −0.920568 | − | 0.390583i | \(-0.872274\pi\) |
0.956258 | + | 0.292526i | \(0.0944958\pi\) | |||||||
\(632\) | −26.8550 | + | 11.4901i | −1.06823 | + | 0.457050i | ||||
\(633\) | −0.807698 | + | 0.677739i | −0.0321031 | + | 0.0269377i | ||||
\(634\) | 0.438284 | + | 23.8077i | 0.0174065 | + | 0.945526i | ||||
\(635\) | 10.2403 | − | 17.7368i | 0.406375 | − | 0.703863i | ||||
\(636\) | 0.262730 | + | 0.290674i | 0.0104179 | + | 0.0115260i | ||||
\(637\) | −5.62782 | + | 0.992337i | −0.222982 | + | 0.0393178i | ||||
\(638\) | −25.8470 | − | 42.9238i | −1.02329 | − | 1.69937i | ||||
\(639\) | −19.2515 | − | 33.3446i | −0.761579 | − | 1.31909i | ||||
\(640\) | 7.69991 | + | 24.5966i | 0.304366 | + | 0.972266i | ||||
\(641\) | 12.1986 | + | 33.5152i | 0.481814 | + | 1.32377i | 0.907937 | + | 0.419107i | \(0.137657\pi\) |
−0.426123 | + | 0.904665i | \(0.640121\pi\) | |||||||
\(642\) | 0.155295 | − | 0.135256i | 0.00612899 | − | 0.00533812i | ||||
\(643\) | −15.4800 | + | 18.4484i | −0.610472 | + | 0.727532i | −0.979401 | − | 0.201925i | \(-0.935280\pi\) |
0.368929 | + | 0.929458i | \(0.379725\pi\) | |||||||
\(644\) | 19.1618 | − | 7.78444i | 0.755081 | − | 0.306750i | ||||
\(645\) | 2.98818i | 0.117660i | ||||||||
\(646\) | −14.9011 | − | 13.8519i | −0.586274 | − | 0.544996i | ||||
\(647\) | 28.8314i | 1.13348i | 0.823897 | + | 0.566740i | \(0.191796\pi\) | ||||
−0.823897 | + | 0.566740i | \(0.808204\pi\) | |||||||
\(648\) | 2.78085 | − | 23.1968i | 0.109242 | − | 0.911257i | ||||
\(649\) | −5.69528 | + | 6.78737i | −0.223559 | + | 0.266428i | ||||
\(650\) | −0.102653 | − | 0.117862i | −0.00402639 | − | 0.00462292i | ||||
\(651\) | −0.312537 | − | 0.858689i | −0.0122493 | − | 0.0336547i | ||||
\(652\) | 10.1795 | − | 31.5339i | 0.398661 | − | 1.23496i | ||||
\(653\) | −21.8194 | − | 37.7923i | −0.853859 | − | 1.47893i | −0.877699 | − | 0.479212i | \(-0.840923\pi\) |
0.0238403 | − | 0.999716i | \(-0.492411\pi\) | |||||||
\(654\) | 2.18280 | − | 1.31439i | 0.0853542 | − | 0.0513969i | ||||
\(655\) | 30.9442 | − | 5.45629i | 1.20909 | − | 0.213195i | ||||
\(656\) | 7.63686 | − | 27.0216i | 0.298169 | − | 1.05502i | ||||
\(657\) | −16.3553 | + | 28.3283i | −0.638083 | + | 1.10519i | ||||
\(658\) | −28.5307 | + | 0.525231i | −1.11224 | + | 0.0204756i | ||||
\(659\) | −30.8465 | + | 25.8833i | −1.20161 | + | 1.00827i | −0.202025 | + | 0.979380i | \(0.564752\pi\) |
−0.999583 | + | 0.0288882i | \(0.990803\pi\) | |||||||
\(660\) | 3.36908 | − | 4.32923i | 0.131141 | − | 0.168515i | ||||
\(661\) | 5.51264 | − | 15.1459i | 0.214417 | − | 0.589106i | −0.785126 | − | 0.619336i | \(-0.787402\pi\) |
0.999543 | + | 0.0302304i | \(0.00962411\pi\) | |||||||
\(662\) | −19.2225 | + | 7.39988i | −0.747105 | + | 0.287605i | ||||
\(663\) | −0.545489 | − | 0.0961845i | −0.0211851 | − | 0.00373550i | ||||
\(664\) | −0.233288 | − | 4.22026i | −0.00905331 | − | 0.163778i | ||||
\(665\) | −33.7652 | − | 22.7449i | −1.30936 | − | 0.882008i | ||||
\(666\) | −4.45906 | − | 2.46614i | −0.172785 | − | 0.0955609i | ||||
\(667\) | 3.71286 | − | 21.0567i | 0.143763 | − | 0.815319i | ||||
\(668\) | −2.11834 | + | 15.2843i | −0.0819611 | + | 0.591368i | ||||
\(669\) | 7.57848 | + | 2.75834i | 0.293001 | + | 0.106644i | ||||
\(670\) | −7.05900 | + | 44.8456i | −0.272713 | + | 1.73254i | ||||
\(671\) | 8.32598 | + | 9.92251i | 0.321421 | + | 0.383054i | ||||
\(672\) | 6.06840 | + | 2.79458i | 0.234093 | + | 0.107803i | ||||
\(673\) | −20.0030 | − | 11.5487i | −0.771058 | − | 0.445171i | 0.0621939 | − | 0.998064i | \(-0.480190\pi\) |
−0.833252 | + | 0.552894i | \(0.813524\pi\) | |||||||
\(674\) | −0.183563 | + | 0.534763i | −0.00707059 | + | 0.0205983i | ||||
\(675\) | 0.0561477 | + | 0.318430i | 0.00216113 | + | 0.0122564i | ||||
\(676\) | 25.3040 | − | 0.931975i | 0.973230 | − | 0.0358452i | ||||
\(677\) | 25.2730 | − | 14.5914i | 0.971321 | − | 0.560792i | 0.0716821 | − | 0.997428i | \(-0.477163\pi\) |
0.899639 | + | 0.436635i | \(0.143830\pi\) | |||||||
\(678\) | −2.90556 | + | 0.567660i | −0.111587 | + | 0.0218008i | ||||
\(679\) | 39.5310 | − | 14.3881i | 1.51706 | − | 0.552165i | ||||
\(680\) | 20.3543 | + | 6.15928i | 0.780550 | + | 0.236198i | ||||
\(681\) | −1.38285 | − | 1.16035i | −0.0529910 | − | 0.0444648i | ||||
\(682\) | 2.87473 | − | 3.55693i | 0.110079 | − | 0.136202i | ||||
\(683\) | −32.3508 | −1.23787 | −0.618934 | − | 0.785443i | \(-0.712435\pi\) | ||||
−0.618934 | + | 0.785443i | \(0.712435\pi\) | |||||||
\(684\) | 11.9952 | + | 22.4232i | 0.458647 | + | 0.857371i | ||||
\(685\) | 17.0499 | 0.651444 | ||||||||
\(686\) | 10.2367 | − | 12.6659i | 0.390837 | − | 0.483586i | ||||
\(687\) | 2.78996 | + | 2.34106i | 0.106444 | + | 0.0893170i | ||||
\(688\) | −12.7023 | − | 13.0535i | −0.484269 | − | 0.497661i | ||||
\(689\) | 0.372319 | − | 0.135513i | 0.0141842 | − | 0.00516263i | ||||
\(690\) | 2.29750 | − | 0.448864i | 0.0874644 | − | 0.0170880i | ||||
\(691\) | −13.6086 | + | 7.85694i | −0.517696 | + | 0.298892i | −0.735992 | − | 0.676991i | \(-0.763284\pi\) |
0.218295 | + | 0.975883i | \(0.429950\pi\) | |||||||
\(692\) | −0.686657 | − | 18.6434i | −0.0261028 | − | 0.708715i | ||||
\(693\) | 8.67987 | + | 49.2260i | 0.329721 | + | 1.86994i | ||||
\(694\) | 8.57640 | − | 24.9851i | 0.325556 | − | 0.948421i | ||||
\(695\) | −38.0136 | − | 21.9471i | −1.44194 | − | 0.832502i | ||||
\(696\) | 5.78166 | − | 3.77822i | 0.219153 | − | 0.143213i | ||||
\(697\) | −14.8926 | − | 17.7483i | −0.564097 | − | 0.672265i | ||||
\(698\) | 1.53022 | − | 9.72142i | 0.0579196 | − | 0.367961i | ||||
\(699\) | −1.82246 | − | 0.663319i | −0.0689316 | − | 0.0250890i | ||||
\(700\) | 1.54074 | + | 0.213540i | 0.0582346 | + | 0.00807107i | ||||
\(701\) | 3.32956 | − | 18.8829i | 0.125756 | − | 0.713196i | −0.855100 | − | 0.518462i | \(-0.826505\pi\) |
0.980856 | − | 0.194734i | \(-0.0623842\pi\) | |||||||
\(702\) | 1.22896 | + | 0.679690i | 0.0463840 | + | 0.0256532i | ||||
\(703\) | 5.35431 | − | 0.566072i | 0.201942 | − | 0.0213498i | ||||
\(704\) | 3.68539 | + | 33.2332i | 0.138898 | + | 1.25252i | ||||
\(705\) | −3.18068 | − | 0.560840i | −0.119791 | − | 0.0211225i | ||||
\(706\) | −7.46834 | + | 2.87500i | −0.281075 | + | 0.108202i | ||||
\(707\) | 12.2702 | − | 33.7121i | 0.461468 | − | 1.26787i | ||||
\(708\) | −0.963862 | − | 0.750095i | −0.0362242 | − | 0.0281903i | ||||
\(709\) | −13.0269 | + | 10.9309i | −0.489235 | + | 0.410517i | −0.853752 | − | 0.520680i | \(-0.825679\pi\) |
0.364517 | + | 0.931197i | \(0.381234\pi\) | |||||||
\(710\) | −42.5176 | + | 0.782721i | −1.59566 | + | 0.0293750i | ||||
\(711\) | 15.0623 | − | 26.0887i | 0.564881 | − | 0.978403i | ||||
\(712\) | −40.8030 | + | 9.54320i | −1.52916 | + | 0.357647i | ||||
\(713\) | 1.92197 | − | 0.338895i | 0.0719784 | − | 0.0126917i | ||||
\(714\) | 4.72236 | − | 2.84362i | 0.176730 | − | 0.106420i | ||||
\(715\) | −2.77365 | − | 4.80411i | −0.103729 | − | 0.179663i | ||||
\(716\) | −3.01243 | − | 0.972446i | −0.112580 | − | 0.0363420i | ||||
\(717\) | −0.992628 | − | 2.72722i | −0.0370704 | − | 0.101850i | ||||
\(718\) | 20.9120 | + | 24.0102i | 0.780429 | + | 0.896053i | ||||
\(719\) | 25.6259 | − | 30.5397i | 0.955684 | − | 1.13894i | −0.0345328 | − | 0.999404i | \(-0.510994\pi\) |
0.990217 | − | 0.139536i | \(-0.0445612\pi\) | |||||||
\(720\) | −21.5639 | − | 15.5417i | −0.803638 | − | 0.579205i | ||||
\(721\) | − | 36.0852i | − | 1.34388i | ||||||
\(722\) | −23.9679 | − | 12.1466i | −0.891993 | − | 0.452050i | ||||
\(723\) | − | 2.43539i | − | 0.0905733i | ||||||
\(724\) | 10.0177 | + | 24.6591i | 0.372304 | + | 0.916447i | ||||
\(725\) | 1.03362 | − | 1.23182i | 0.0383877 | − | 0.0457487i | ||||
\(726\) | 1.98737 | − | 1.73093i | 0.0737582 | − | 0.0642407i | ||||
\(727\) | 2.73410 | + | 7.51188i | 0.101402 | + | 0.278600i | 0.980011 | − | 0.198941i | \(-0.0637503\pi\) |
−0.878609 | + | 0.477541i | \(0.841528\pi\) | |||||||
\(728\) | 4.92780 | − | 4.62168i | 0.182636 | − | 0.171291i | ||||
\(729\) | 11.3108 | + | 19.5909i | 0.418919 | + | 0.725589i | ||||
\(730\) | 18.6365 | + | 30.9495i | 0.689768 | + | 1.14549i | ||||
\(731\) | −14.7998 | + | 2.60961i | −0.547392 | + | 0.0965199i | ||||
\(732\) | −1.32459 | + | 1.19725i | −0.0489584 | + | 0.0442518i | ||||
\(733\) | 14.5869 | − | 25.2652i | 0.538779 | − | 0.933193i | −0.460191 | − | 0.887820i | \(-0.652219\pi\) |
0.998970 | − | 0.0453728i | \(-0.0144476\pi\) | |||||||
\(734\) | 0.783656 | + | 42.5684i | 0.0289253 | + | 1.57123i | ||||
\(735\) | 4.93100 | − | 4.13760i | 0.181883 | − | 0.152618i | ||||
\(736\) | −8.12833 | + | 11.7271i | −0.299614 | + | 0.432267i | ||||
\(737\) | −20.1436 | + | 55.3440i | −0.741998 | + | 2.03862i | ||||
\(738\) | 10.4040 | + | 27.0262i | 0.382975 | + | 0.994847i | ||||
\(739\) | 18.2045 | + | 3.20994i | 0.669663 | + | 0.118080i | 0.498135 | − | 0.867100i | \(-0.334019\pi\) |
0.171528 | + | 0.985179i | \(0.445130\pi\) | |||||||
\(740\) | −4.76698 | + | 2.99140i | −0.175238 | + | 0.109966i | ||||
\(741\) | −0.727500 | + | 0.0769132i | −0.0267254 | + | 0.00282548i | ||||
\(742\) | −1.90836 | + | 3.45053i | −0.0700581 | + | 0.126673i | ||||
\(743\) | 1.20332 | − | 6.82439i | 0.0441457 | − | 0.250363i | −0.954746 | − | 0.297421i | \(-0.903874\pi\) |
0.998892 | + | 0.0470583i | \(0.0149847\pi\) | |||||||
\(744\) | 0.504556 | + | 0.377951i | 0.0184979 | + | 0.0138564i | ||||
\(745\) | −4.36969 | − | 1.59044i | −0.160093 | − | 0.0582690i | ||||
\(746\) | 24.2248 | + | 3.81314i | 0.886931 | + | 0.139609i | ||||
\(747\) | 2.80197 | + | 3.33926i | 0.102519 | + | 0.122177i | ||||
\(748\) | 24.3840 | + | 12.9056i | 0.891569 | + | 0.471876i | ||||
\(749\) | 1.79484 | + | 1.03625i | 0.0655819 | + | 0.0378637i | ||||
\(750\) | −4.22247 | − | 1.44941i | −0.154183 | − | 0.0529249i | ||||
\(751\) | 1.76031 | + | 9.98320i | 0.0642345 | + | 0.364292i | 0.999934 | + | 0.0114939i | \(0.00365869\pi\) |
−0.935699 | + | 0.352798i | \(0.885230\pi\) | |||||||
\(752\) | 16.2785 | − | 11.0706i | 0.593616 | − | 0.403703i | ||||
\(753\) | −2.12744 | + | 1.22828i | −0.0775283 | + | 0.0447610i | ||||
\(754\) | −1.33920 | − | 6.85466i | −0.0487707 | − | 0.249632i | ||||
\(755\) | 20.5908 | − | 7.49442i | 0.749374 | − | 0.272750i | ||||
\(756\) | −13.6654 | + | 2.93194i | −0.497007 | + | 0.106634i | ||||
\(757\) | −15.0952 | − | 12.6664i | −0.548646 | − | 0.460368i | 0.325836 | − | 0.945426i | \(-0.394354\pi\) |
−0.874482 | + | 0.485058i | \(0.838799\pi\) | |||||||
\(758\) | 14.3140 | + | 11.5686i | 0.519907 | + | 0.420192i | ||||
\(759\) | 3.03697 | 0.110235 | ||||||||
\(760\) | 28.0834 | + | 0.392627i | 1.01869 | + | 0.0142421i | ||||
\(761\) | 19.6304 | 0.711603 | 0.355801 | − | 0.934562i | \(-0.384208\pi\) | ||||
0.355801 | + | 0.934562i | \(0.384208\pi\) | |||||||
\(762\) | 2.84853 | + | 2.30220i | 0.103191 | + | 0.0833999i | ||||
\(763\) | 19.6430 | + | 16.4825i | 0.711126 | + | 0.596706i | ||||
\(764\) | −24.7964 | + | 5.32010i | −0.897102 | + | 0.192475i | ||||
\(765\) | −20.6092 | + | 7.50113i | −0.745126 | + | 0.271204i | ||||
\(766\) | −7.77775 | − | 39.8103i | −0.281021 | − | 1.43840i | ||||
\(767\) | −1.06959 | + | 0.617527i | −0.0386206 | + | 0.0222976i | ||||
\(768\) | −4.55921 | + | 0.676275i | −0.164516 | + | 0.0244030i | ||||
\(769\) | −6.67065 | − | 37.8311i | −0.240550 | − | 1.36423i | −0.830605 | − | 0.556863i | \(-0.812005\pi\) |
0.590055 | − | 0.807363i | \(-0.299106\pi\) | |||||||
\(770\) | 52.2159 | + | 17.9237i | 1.88173 | + | 0.645924i | ||||
\(771\) | 0.684677 | + | 0.395298i | 0.0246580 | + | 0.0142363i | ||||
\(772\) | −38.8288 | − | 20.5507i | −1.39748 | − | 0.739637i | ||||
\(773\) | −10.1209 | − | 12.0616i | −0.364024 | − | 0.433827i | 0.552680 | − | 0.833393i | \(-0.313605\pi\) |
−0.916704 | + | 0.399567i | \(0.869161\pi\) | |||||||
\(774\) | 18.5558 | + | 2.92081i | 0.666975 | + | 0.104986i | ||||
\(775\) | 0.137923 | + | 0.0501998i | 0.00495434 | + | 0.00180323i | ||||
\(776\) | −17.3996 | + | 23.2280i | −0.624607 | + | 0.833837i | ||||
\(777\) | −0.253323 | + | 1.43666i | −0.00908790 | + | 0.0515400i | ||||
\(778\) | −22.0720 | + | 39.9086i | −0.791318 | + | 1.43079i | ||||
\(779\) | −25.3786 | − | 17.0955i | −0.909283 | − | 0.612511i | ||||
\(780\) | 0.647698 | − | 0.406447i | 0.0231913 | − | 0.0145531i | ||||
\(781\) | −54.3306 | − | 9.57994i | −1.94410 | − | 0.342797i | ||||
\(782\) | 4.22956 | + | 10.9870i | 0.151249 | + | 0.392896i | ||||
\(783\) | −4.94174 | + | 13.5773i | −0.176603 | + | 0.485214i | ||||
\(784\) | −3.95226 | + | 39.0355i | −0.141152 | + | 1.39412i | ||||
\(785\) | 13.1896 | − | 11.0674i | 0.470758 | − | 0.395013i | ||||
\(786\) | 0.103426 | + | 5.61815i | 0.00368910 | + | 0.200393i | ||||
\(787\) | 11.5582 | − | 20.0194i | 0.412005 | − | 0.713614i | −0.583104 | − | 0.812398i | \(-0.698162\pi\) |
0.995109 | + | 0.0987836i | \(0.0314952\pi\) | |||||||
\(788\) | −6.74194 | + | 6.09381i | −0.240172 | + | 0.217083i | ||||
\(789\) | −0.627377 | + | 0.110624i | −0.0223352 | + | 0.00393830i | ||||
\(790\) | −17.1632 | − | 28.5027i | −0.610638 | − | 1.01408i | ||||
\(791\) | −14.8967 | − | 25.8019i | −0.529667 | − | 0.917409i | ||||
\(792\) | −23.5902 | − | 25.1527i | −0.838243 | − | 0.893764i | ||||
\(793\) | 0.617530 | + | 1.69665i | 0.0219291 | + | 0.0602498i | ||||
\(794\) | 17.6095 | − | 15.3372i | 0.624937 | − | 0.544297i | ||||
\(795\) | −0.286872 | + | 0.341881i | −0.0101743 | + | 0.0121253i | ||||
\(796\) | −9.17097 | − | 22.5748i | −0.325056 | − | 0.800144i | ||||
\(797\) | 54.7609i | 1.93973i | 0.243642 | + | 0.969865i | \(0.421658\pi\) | ||||
−0.243642 | + | 0.969865i | \(0.578342\pi\) | |||||||
\(798\) | 4.95688 | − | 5.33231i | 0.175472 | − | 0.188762i | ||||
\(799\) | − | 16.2430i | − | 0.574638i | ||||||
\(800\) | −0.970381 | + | 0.458144i | −0.0343082 | + | 0.0161978i | ||||
\(801\) | 27.7791 | − | 33.1059i | 0.981528 | − | 1.16974i | ||||
\(802\) | −20.7702 | − | 23.8474i | −0.733421 | − | 0.842081i | ||||
\(803\) | 16.0302 | + | 44.0426i | 0.565693 | + | 1.55423i | ||||
\(804\) | −7.72589 | − | 2.49401i | −0.272471 | − | 0.0879568i | ||||
\(805\) | 11.7792 | + | 20.4023i | 0.415164 | + | 0.719085i | ||||
\(806\) | 0.546126 | − | 0.328855i | 0.0192365 | − | 0.0115834i | ||||
\(807\) | −4.25627 | + | 0.750495i | −0.149828 | + | 0.0264187i | ||||
\(808\) | 5.63655 | + | 24.0997i | 0.198293 | + | 0.847825i | ||||
\(809\) | −4.43960 | + | 7.68961i | −0.156088 | + | 0.270352i | −0.933455 | − | 0.358695i | \(-0.883222\pi\) |
0.777367 | + | 0.629048i | \(0.216555\pi\) | |||||||
\(810\) | 26.6069 | − | 0.489815i | 0.934872 | − | 0.0172104i | ||||
\(811\) | −37.3268 | + | 31.3209i | −1.31072 | + | 1.09982i | −0.322536 | + | 0.946557i | \(0.604535\pi\) |
−0.988185 | + | 0.153268i | \(0.951020\pi\) | |||||||
\(812\) | 54.8537 | + | 42.6882i | 1.92499 | + | 1.49806i | ||||
\(813\) | −2.52397 | + | 6.93456i | −0.0885196 | + | 0.243206i | ||||
\(814\) | −6.81372 | + | 2.62300i | −0.238821 | + | 0.0919361i | ||||
\(815\) | 37.1703 | + | 6.55412i | 1.30202 | + | 0.229581i | ||||
\(816\) | −1.65405 | + | 3.42440i | −0.0579032 | + | 0.119878i | ||||
\(817\) | −17.8340 | + | 8.71171i | −0.623931 | + | 0.304784i | ||||
\(818\) | −26.8835 | − | 14.8683i | −0.939960 | − | 0.519857i | ||||
\(819\) | −1.20991 | + | 6.86172i | −0.0422775 | + | 0.239768i | ||||
\(820\) | 31.6816 | + | 4.39094i | 1.10637 | + | 0.153338i | ||||
\(821\) | 13.9797 | + | 5.08819i | 0.487894 | + | 0.177579i | 0.574241 | − | 0.818686i | \(-0.305297\pi\) |
−0.0863471 | + | 0.996265i | \(0.527519\pi\) | |||||||
\(822\) | −0.474100 | + | 3.01194i | −0.0165361 | + | 0.105054i | ||||
\(823\) | −1.64912 | − | 1.96535i | −0.0574848 | − | 0.0685077i | 0.736536 | − | 0.676399i | \(-0.236460\pi\) |
−0.794021 | + | 0.607891i | \(0.792016\pi\) | |||||||
\(824\) | 13.6183 | + | 20.8395i | 0.474416 | + | 0.725979i | ||||
\(825\) | 0.197800 | + | 0.114200i | 0.00688651 | + | 0.00397593i | ||||
\(826\) | 3.99054 | − | 11.6254i | 0.138848 | − | 0.404498i | ||||
\(827\) | −0.878109 | − | 4.98000i | −0.0305348 | − | 0.173172i | 0.965727 | − | 0.259562i | \(-0.0835780\pi\) |
−0.996261 | + | 0.0863899i | \(0.972467\pi\) | |||||||
\(828\) | −0.541625 | − | 14.7056i | −0.0188228 | − | 0.511055i | ||||
\(829\) | 43.3520 | − | 25.0293i | 1.50568 | − | 0.869303i | 0.505698 | − | 0.862711i | \(-0.331235\pi\) |
0.999978 | − | 0.00659184i | \(-0.00209826\pi\) | |||||||
\(830\) | 4.72508 | − | 0.923141i | 0.164010 | − | 0.0320427i | ||||
\(831\) | 2.29860 | − | 0.836621i | 0.0797375 | − | 0.0290221i | ||||
\(832\) | −1.10166 | + | 4.52878i | −0.0381931 | + | 0.157007i | ||||
\(833\) | 24.7989 | + | 20.8088i | 0.859232 | + | 0.720982i | ||||
\(834\) | 4.93409 | − | 6.10499i | 0.170853 | − | 0.211398i | ||||
\(835\) | −17.5760 | −0.608241 | ||||||||
\(836\) | 35.6598 | + | 7.48586i | 1.23332 | + | 0.258904i | ||||
\(837\) | −1.31882 | −0.0455850 | ||||||||
\(838\) | 11.7307 | − | 14.5145i | 0.405231 | − | 0.501396i | ||||
\(839\) | −33.0449 | − | 27.7279i | −1.14084 | − | 0.957275i | −0.141370 | − | 0.989957i | \(-0.545151\pi\) |
−0.999466 | + | 0.0326821i | \(0.989595\pi\) | |||||||
\(840\) | −2.20409 | + | 7.28373i | −0.0760482 | + | 0.251312i | ||||
\(841\) | 40.2710 | − | 14.6575i | 1.38866 | − | 0.505430i | ||||
\(842\) | −9.91685 | + | 1.93746i | −0.341757 | + | 0.0667693i | ||||
\(843\) | 0.287167 | − | 0.165796i | 0.00989056 | − | 0.00571032i | ||||
\(844\) | 7.31535 | − | 0.269433i | 0.251805 | − | 0.00927426i | ||||
\(845\) | 5.00835 | + | 28.4038i | 0.172292 | + | 0.977119i | ||||
\(846\) | −6.59164 | + | 19.2030i | −0.226625 | + | 0.660213i | ||||
\(847\) | 22.9693 | + | 13.2613i | 0.789234 | + | 0.455665i | ||||
\(848\) | −0.200111 | − | 2.71292i | −0.00687184 | − | 0.0931619i | ||||
\(849\) | −1.73779 | − | 2.07102i | −0.0596410 | − | 0.0710773i | ||||
\(850\) | −0.137674 | + | 0.874639i | −0.00472218 | + | 0.0299999i | ||||
\(851\) | −2.92776 | − | 1.06562i | −0.100362 | − | 0.0365288i | ||||
\(852\) | 1.04400 | − | 7.53269i | 0.0357668 | − | 0.258066i | ||||
\(853\) | −0.190369 | + | 1.07963i | −0.00651809 | + | 0.0369659i | −0.987893 | − | 0.155135i | \(-0.950419\pi\) |
0.981375 | + | 0.192101i | \(0.0615300\pi\) | |||||||
\(854\) | −15.7240 | − | 8.69636i | −0.538064 | − | 0.297583i | ||||
\(855\) | −23.4235 | + | 17.0400i | −0.801066 | + | 0.582757i | ||||
\(856\) | −1.42761 | + | 0.0789152i | −0.0487946 | + | 0.00269727i | ||||
\(857\) | 17.0456 | + | 3.00560i | 0.582267 | + | 0.102669i | 0.457020 | − | 0.889456i | \(-0.348917\pi\) |
0.125246 | + | 0.992126i | \(0.460028\pi\) | |||||||
\(858\) | 0.925793 | − | 0.356392i | 0.0316060 | − | 0.0121670i | ||||
\(859\) | −2.68429 | + | 7.37504i | −0.0915869 | + | 0.251633i | −0.977025 | − | 0.213124i | \(-0.931636\pi\) |
0.885438 | + | 0.464757i | \(0.153858\pi\) | |||||||
\(860\) | 12.7415 | − | 16.3727i | 0.434482 | − | 0.558304i | ||||
\(861\) | 6.35119 | − | 5.32928i | 0.216448 | − | 0.181621i | ||||
\(862\) | 20.2963 | − | 0.373642i | 0.691296 | − | 0.0127263i | ||||
\(863\) | −14.7692 | + | 25.5810i | −0.502750 | + | 0.870789i | 0.497245 | + | 0.867610i | \(0.334345\pi\) |
−0.999995 | + | 0.00317851i | \(0.998988\pi\) | |||||||
\(864\) | 6.78542 | − | 6.85046i | 0.230845 | − | 0.233057i | ||||
\(865\) | 20.9272 | − | 3.69003i | 0.711547 | − | 0.125465i | ||||
\(866\) | −35.2042 | + | 21.1985i | −1.19629 | + | 0.720355i | ||||
\(867\) | −0.879681 | − | 1.52365i | −0.0298755 | − | 0.0517459i | ||||
\(868\) | −1.94899 | + | 6.03753i | −0.0661529 | + | 0.204927i | ||||
\(869\) | −14.7629 | − | 40.5607i | −0.500796 | − | 1.37593i | ||||
\(870\) | 5.16691 | + | 5.93241i | 0.175175 | + | 0.201127i | ||||
\(871\) | −5.27704 | + | 6.28893i | −0.178806 | + | 0.213092i | ||||
\(872\) | −17.5644 | − | 2.10563i | −0.594806 | − | 0.0713057i | ||||
\(873\) | − | 29.9311i | − | 1.01302i | ||||||
\(874\) | 9.37701 | + | 12.4033i | 0.317182 | + | 0.419547i | ||||
\(875\) | − | 44.9274i | − | 1.51882i | ||||||
\(876\) | −5.98558 | + | 2.43163i | −0.202234 | + | 0.0821570i | ||||
\(877\) | −18.0457 | + | 21.5060i | −0.609359 | + | 0.726206i | −0.979202 | − | 0.202888i | \(-0.934967\pi\) |
0.369843 | + | 0.929094i | \(0.379412\pi\) | |||||||
\(878\) | 29.1993 | − | 25.4315i | 0.985429 | − | 0.858272i | ||||
\(879\) | 1.81671 | + | 4.99138i | 0.0612762 | + | 0.168355i | ||||
\(880\) | −36.9194 | + | 9.35482i | −1.24455 | + | 0.315351i | ||||
\(881\) | −0.307651 | − | 0.532868i | −0.0103650 | − | 0.0179528i | 0.860796 | − | 0.508950i | \(-0.169966\pi\) |
−0.871161 | + | 0.490997i | \(0.836633\pi\) | |||||||
\(882\) | −20.8735 | − | 34.6645i | −0.702849 | − | 1.16721i | ||||
\(883\) | 20.1205 | − | 3.54779i | 0.677110 | − | 0.119393i | 0.175491 | − | 0.984481i | \(-0.443849\pi\) |
0.501620 | + | 0.865088i | \(0.332738\pi\) | |||||||
\(884\) | 2.57869 | + | 2.85296i | 0.0867307 | + | 0.0959554i | ||||
\(885\) | 0.695581 | − | 1.20478i | 0.0233817 | − | 0.0404983i | ||||
\(886\) | −0.374438 | − | 20.3396i | −0.0125795 | − | 0.683322i | ||||
\(887\) | −21.2538 | + | 17.8341i | −0.713634 | + | 0.598810i | −0.925616 | − | 0.378463i | \(-0.876453\pi\) |
0.211982 | + | 0.977274i | \(0.432008\pi\) | |||||||
\(888\) | −0.395891 | − | 0.925288i | −0.0132852 | − | 0.0310506i | ||||
\(889\) | −12.6064 | + | 34.6359i | −0.422807 | + | 1.16165i | ||||
\(890\) | −17.1477 | − | 44.5442i | −0.574791 | − | 1.49312i | ||||
\(891\) | 33.9993 | + | 5.99499i | 1.13902 | + | 0.200840i | ||||
\(892\) | −29.7621 | − | 47.4277i | −0.996509 | − | 1.58800i | ||||
\(893\) | −5.92574 | − | 20.6179i | −0.198297 | − | 0.689952i | ||||
\(894\) | 0.402464 | − | 0.727700i | 0.0134604 | − | 0.0243379i | ||||
\(895\) | 0.626113 | − | 3.55087i | 0.0209287 | − | 0.118692i | ||||
\(896\) | −21.3336 | − | 41.1874i | −0.712707 | − | 1.37597i | ||||
\(897\) | 0.397800 | + | 0.144787i | 0.0132821 | + | 0.00483431i | ||||
\(898\) | −31.6310 | − | 4.97893i | −1.05554 | − | 0.166149i | ||||
\(899\) | 4.21584 | + | 5.02425i | 0.140606 | + | 0.167568i | ||||
\(900\) | 0.517702 | − | 0.978154i | 0.0172567 | − | 0.0326051i | ||||
\(901\) | −1.94379 | − | 1.12225i | −0.0647571 | − | 0.0373876i | ||||
\(902\) | 39.2466 | + | 13.4718i | 1.30677 | + | 0.448562i | ||||
\(903\) | −0.933843 | − | 5.29609i | −0.0310764 | − | 0.176243i | ||||
\(904\) | 18.3404 | + | 9.27890i | 0.609994 | + | 0.308612i | ||||
\(905\) | −26.2554 | + | 15.1585i | −0.872758 | + | 0.503887i | ||||
\(906\) | 0.751364 | + | 3.84584i | 0.0249624 | + | 0.127770i | ||||
\(907\) | 28.1356 | − | 10.2405i | 0.934228 | − | 0.340031i | 0.170344 | − | 0.985385i | \(-0.445512\pi\) |
0.763884 | + | 0.645354i | \(0.223290\pi\) | |||||||
\(908\) | 2.62915 | + | 12.2542i | 0.0872515 | + | 0.406669i | ||||
\(909\) | −19.5535 | − | 16.4073i | −0.648549 | − | 0.544197i | ||||
\(910\) | 5.98503 | + | 4.83714i | 0.198402 | + | 0.160350i | ||||
\(911\) | 30.9988 | 1.02704 | 0.513518 | − | 0.858079i | \(-0.328342\pi\) | ||||
0.513518 | + | 0.858079i | \(0.328342\pi\) | |||||||
\(912\) | −0.850264 | + | 4.95015i | −0.0281551 | + | 0.163916i | ||||
\(913\) | 6.24587 | 0.206708 | ||||||||
\(914\) | 22.4048 | + | 18.1077i | 0.741085 | + | 0.598949i | ||||
\(915\) | −1.55794 | − | 1.30727i | −0.0515040 | − | 0.0432170i | ||||
\(916\) | −5.30443 | − | 24.7233i | −0.175263 | − | 0.816882i | ||||
\(917\) | −53.1386 | + | 19.3409i | −1.75479 | + | 0.638692i | ||||
\(918\) | −1.52547 | − | 7.80807i | −0.0503479 | − | 0.257705i | ||||
\(919\) | −19.5649 | + | 11.2958i | −0.645385 | + | 0.372613i | −0.786686 | − | 0.617353i | \(-0.788205\pi\) |
0.141301 | + | 0.989967i | \(0.454872\pi\) | |||||||
\(920\) | −14.5023 | − | 7.33708i | −0.478126 | − | 0.241896i | ||||
\(921\) | −0.279711 | − | 1.58632i | −0.00921678 | − | 0.0522709i | ||||
\(922\) | −24.4939 | − | 8.40778i | −0.806662 | − | 0.276896i | ||||
\(923\) | −6.65981 | − | 3.84504i | −0.219210 | − | 0.126561i | ||||
\(924\) | −4.61824 | + | 8.72577i | −0.151929 | + | 0.287057i | ||||
\(925\) | −0.150616 | − | 0.179497i | −0.00495223 | − | 0.00590184i | ||||
\(926\) | 14.0539 | + | 2.21218i | 0.461840 | + | 0.0726967i | ||||
\(927\) | −24.1260 | − | 8.78115i | −0.792402 | − | 0.288411i | ||||
\(928\) | −47.7887 | − | 3.95138i | −1.56874 | − | 0.129710i | ||||
\(929\) | −2.89978 | + | 16.4455i | −0.0951388 | + | 0.539559i | 0.899566 | + | 0.436785i | \(0.143883\pi\) |
−0.994705 | + | 0.102774i | \(0.967228\pi\) | |||||||
\(930\) | −0.347529 | + | 0.628372i | −0.0113959 | + | 0.0206051i | ||||
\(931\) | 39.0696 | + | 17.3663i | 1.28046 | + | 0.569158i | ||||
\(932\) | 7.15712 | + | 11.4053i | 0.234439 | + | 0.373594i | ||||
\(933\) | 3.39512 | + | 0.598652i | 0.111151 | + | 0.0195990i | ||||
\(934\) | −2.66533 | − | 6.92367i | −0.0872122 | − | 0.226549i | ||||
\(935\) | −10.7479 | + | 29.5296i | −0.351494 | + | 0.965722i | ||||
\(936\) | −1.89083 | − | 4.41932i | −0.0618038 | − | 0.144450i | ||||
\(937\) | −39.7274 | + | 33.3352i | −1.29784 | + | 1.08901i | −0.307322 | + | 0.951606i | \(0.599433\pi\) |
−0.990515 | + | 0.137408i | \(0.956123\pi\) | |||||||
\(938\) | −1.50382 | − | 81.6879i | −0.0491014 | − | 2.66720i | ||||
\(939\) | −2.28889 | + | 3.96447i | −0.0746950 | + | 0.129376i | ||||
\(940\) | 15.0360 | + | 16.6353i | 0.490421 | + | 0.542582i | ||||
\(941\) | −25.8232 | + | 4.55332i | −0.841811 | + | 0.148434i | −0.577895 | − | 0.816111i | \(-0.696126\pi\) |
−0.263917 | + | 0.964545i | \(0.585014\pi\) | |||||||
\(942\) | 1.58835 | + | 2.63775i | 0.0517512 | + | 0.0859427i | ||||
\(943\) | 8.85353 | + | 15.3348i | 0.288311 | + | 0.499369i | ||||
\(944\) | 2.08276 | + | 8.21976i | 0.0677881 | + | 0.267530i | ||||
\(945\) | −5.44489 | − | 14.9597i | −0.177122 | − | 0.486639i | ||||
\(946\) | 20.2960 | − | 17.6771i | 0.659881 | − | 0.574732i | ||||
\(947\) | −9.64551 | + | 11.4951i | −0.313437 | + | 0.373540i | −0.899646 | − | 0.436620i | \(-0.856175\pi\) |
0.586209 | + | 0.810160i | \(0.300620\pi\) | |||||||
\(948\) | 5.51237 | − | 2.23939i | 0.179034 | − | 0.0727319i | ||||
\(949\) | 6.53319i | 0.212076i | ||||||||
\(950\) | 0.144328 | + | 1.16044i | 0.00468263 | + | 0.0376496i | ||||
\(951\) | − | 4.85034i | − | 0.157283i | ||||||
\(952\) | −37.9996 | − | 4.55542i | −1.23157 | − | 0.147642i | ||||
\(953\) | −5.08743 | + | 6.06296i | −0.164798 | + | 0.196399i | −0.842123 | − | 0.539285i | \(-0.818695\pi\) |
0.677325 | + | 0.735684i | \(0.263139\pi\) | |||||||
\(954\) | 1.84259 | + | 2.11557i | 0.0596559 | + | 0.0684942i | ||||
\(955\) | −9.87993 | − | 27.1449i | −0.319707 | − | 0.878388i | ||||
\(956\) | −6.19004 | + | 19.1754i | −0.200200 | + | 0.620177i | ||||
\(957\) | 5.10307 | + | 8.83878i | 0.164959 | + | 0.285717i | ||||
\(958\) | −5.92632 | + | 3.56859i | −0.191471 | + | 0.115296i | ||||
\(959\) | −30.2183 | + | 5.32831i | −0.975801 | + | 0.172060i | ||||
\(960\) | −1.47595 | − | 5.03822i | −0.0476360 | − | 0.162608i | ||||
\(961\) | 15.2007 | − | 26.3283i | 0.490344 | − | 0.849301i | ||||
\(962\) | −1.01755 | + | 0.0187324i | −0.0328072 | + | 0.000603958i | ||||
\(963\) | 1.12959 | − | 0.947835i | 0.0364004 | − | 0.0305436i | ||||
\(964\) | −10.3844 | + | 13.3439i | −0.334460 | + | 0.429777i | ||||
\(965\) | 17.1148 | − | 47.0226i | 0.550946 | − | 1.51371i | ||||
\(966\) | −3.93169 | + | 1.51354i | −0.126500 | + | 0.0486973i | ||||
\(967\) | −39.9648 | − | 7.04688i | −1.28518 | − | 0.226612i | −0.511003 | − | 0.859579i | \(-0.670726\pi\) |
−0.774179 | + | 0.632967i | \(0.781837\pi\) | |||||||
\(968\) | −18.2697 | + | 1.00991i | −0.587211 | + | 0.0324598i | ||||
\(969\) | 2.98282 | + | 2.87695i | 0.0958221 | + | 0.0924211i | ||||
\(970\) | −28.9280 | − | 15.9990i | −0.928823 | − | 0.513698i | ||||
\(971\) | −7.47160 | + | 42.3736i | −0.239775 | + | 1.35983i | 0.592545 | + | 0.805537i | \(0.298123\pi\) |
−0.832320 | + | 0.554295i | \(0.812988\pi\) | |||||||
\(972\) | −2.05732 | + | 14.8440i | −0.0659886 | + | 0.476123i | ||||
\(973\) | 74.2319 | + | 27.0182i | 2.37976 | + | 0.866164i | ||||
\(974\) | 4.24921 | − | 26.9951i | 0.136153 | − | 0.864978i | ||||
\(975\) | 0.0204645 | + | 0.0243886i | 0.000655389 | + | 0.000781062i | ||||
\(976\) | 12.3627 | − | 0.911902i | 0.395720 | − | 0.0291893i | ||||
\(977\) | 28.8945 | + | 16.6822i | 0.924415 | + | 0.533712i | 0.885041 | − | 0.465513i | \(-0.154130\pi\) |
0.0393744 | + | 0.999225i | \(0.487463\pi\) | |||||||
\(978\) | −2.19139 | + | 6.38405i | −0.0700731 | + | 0.204139i | ||||
\(979\) | −10.7527 | − | 60.9818i | −0.343659 | − | 1.94899i | ||||
\(980\) | −44.6602 | + | 1.64489i | −1.42662 | + | 0.0525440i | ||||
\(981\) | 15.8000 | − | 9.12212i | 0.504455 | − | 0.291247i | ||||
\(982\) | 31.7966 | − | 6.21211i | 1.01467 | − | 0.198236i | ||||
\(983\) | −27.6780 | + | 10.0740i | −0.882790 | + | 0.321309i | −0.743335 | − | 0.668919i | \(-0.766757\pi\) |
−0.139455 | + | 0.990228i | \(0.544535\pi\) | |||||||
\(984\) | −1.65664 | + | 5.47460i | −0.0528117 | + | 0.174524i | ||||
\(985\) | −7.92965 | − | 6.65377i | −0.252660 | − | 0.212007i | ||||
\(986\) | −24.8697 | + | 30.7714i | −0.792011 | + | 0.979962i | ||||
\(987\) | 5.81254 | 0.185015 | ||||||||
\(988\) | 4.31404 | + | 2.68062i | 0.137248 | + | 0.0852819i | ||||
\(989\) | 11.4855 | 0.365217 | ||||||||
\(990\) | 24.6900 | − | 30.5491i | 0.784699 | − | 0.970915i | ||||
\(991\) | 14.8234 | + | 12.4383i | 0.470882 | + | 0.395117i | 0.847116 | − | 0.531408i | \(-0.178337\pi\) |
−0.376234 | + | 0.926525i | \(0.622781\pi\) | |||||||
\(992\) | −1.15296 | − | 4.22226i | −0.0366067 | − | 0.134057i | ||||
\(993\) | 3.94261 | − | 1.43499i | 0.125115 | − | 0.0455381i | ||||
\(994\) | 75.1113 | − | 14.6745i | 2.38239 | − | 0.465448i | ||||
\(995\) | 24.0362 | − | 13.8773i | 0.761999 | − | 0.439941i | ||||
\(996\) | 0.0316886 | + | 0.860375i | 0.00100409 | + | 0.0272620i | ||||
\(997\) | −8.02691 | − | 45.5229i | −0.254215 | − | 1.44172i | −0.798080 | − | 0.602551i | \(-0.794151\pi\) |
0.543865 | − | 0.839173i | \(-0.316960\pi\) | |||||||
\(998\) | 1.16727 | − | 3.40055i | 0.0369494 | − | 0.107642i | ||||
\(999\) | 1.82335 | + | 1.05271i | 0.0576881 | + | 0.0333063i |
(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 | 76.2.k.a.59.7 | ✓ | 48 | |
3.2 | odd | 2 | 684.2.cf.a.667.2 | 48 | |||
4.3 | odd | 2 | inner | 76.2.k.a.59.8 | yes | 48 | |
12.11 | even | 2 | 684.2.cf.a.667.1 | 48 | |||
19.10 | odd | 18 | inner | 76.2.k.a.67.8 | yes | 48 | |
57.29 | even | 18 | 684.2.cf.a.523.1 | 48 | |||
76.67 | even | 18 | inner | 76.2.k.a.67.7 | yes | 48 | |
228.143 | odd | 18 | 684.2.cf.a.523.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.2.k.a.59.7 | ✓ | 48 | 1.1 | even | 1 | trivial | |
76.2.k.a.59.8 | yes | 48 | 4.3 | odd | 2 | inner | |
76.2.k.a.67.7 | yes | 48 | 76.67 | even | 18 | inner | |
76.2.k.a.67.8 | yes | 48 | 19.10 | odd | 18 | inner | |
684.2.cf.a.523.1 | 48 | 57.29 | even | 18 | |||
684.2.cf.a.523.2 | 48 | 228.143 | odd | 18 | |||
684.2.cf.a.667.1 | 48 | 12.11 | even | 2 | |||
684.2.cf.a.667.2 | 48 | 3.2 | odd | 2 |