Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(47,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.bd (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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 185.10 | ||
Character | \(\chi\) | \(=\) | 189.185 |
Dual form | 189.2.bd.a.47.10 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.313923 | + | 0.0553531i | −0.221977 | + | 0.0391406i | −0.283530 | − | 0.958963i | \(-0.591506\pi\) |
0.0615533 | + | 0.998104i | \(0.480395\pi\) | |||||||
\(3\) | 1.24200 | + | 1.20725i | 0.717068 | + | 0.697004i | ||||
\(4\) | −1.78390 | + | 0.649287i | −0.891951 | + | 0.324644i | ||||
\(5\) | −2.68563 | + | 0.977491i | −1.20105 | + | 0.437147i | −0.863591 | − | 0.504193i | \(-0.831790\pi\) |
−0.337461 | + | 0.941340i | \(0.609568\pi\) | |||||||
\(6\) | −0.456717 | − | 0.310234i | −0.186454 | − | 0.126652i | ||||
\(7\) | −2.48320 | − | 0.913082i | −0.938561 | − | 0.345112i | ||||
\(8\) | 1.07619 | − | 0.621337i | 0.380489 | − | 0.219676i | ||||
\(9\) | 0.0851152 | + | 2.99879i | 0.0283717 | + | 0.999597i | ||||
\(10\) | 0.788975 | − | 0.455515i | 0.249496 | − | 0.144047i | ||||
\(11\) | −1.16543 | + | 3.20200i | −0.351391 | + | 0.965439i | 0.630533 | + | 0.776162i | \(0.282836\pi\) |
−0.981924 | + | 0.189276i | \(0.939386\pi\) | |||||||
\(12\) | −2.99945 | − | 1.34719i | −0.865867 | − | 0.388902i | ||||
\(13\) | −1.17022 | − | 3.21516i | −0.324562 | − | 0.891726i | −0.989462 | − | 0.144794i | \(-0.953748\pi\) |
0.664900 | − | 0.746932i | \(-0.268474\pi\) | |||||||
\(14\) | 0.830076 | + | 0.149185i | 0.221847 | + | 0.0398713i | ||||
\(15\) | −4.51562 | − | 2.02818i | −1.16593 | − | 0.523674i | ||||
\(16\) | 2.60505 | − | 2.18590i | 0.651263 | − | 0.546475i | ||||
\(17\) | 2.33161 | + | 4.03847i | 0.565499 | + | 0.979474i | 0.997003 | + | 0.0773624i | \(0.0246498\pi\) |
−0.431504 | + | 0.902111i | \(0.642017\pi\) | |||||||
\(18\) | −0.192712 | − | 0.936679i | −0.0454227 | − | 0.220777i | ||||
\(19\) | 4.78098 | + | 2.76030i | 1.09683 | + | 0.633256i | 0.935387 | − | 0.353625i | \(-0.115051\pi\) |
0.161445 | + | 0.986882i | \(0.448385\pi\) | |||||||
\(20\) | 4.15623 | − | 3.48749i | 0.929362 | − | 0.779827i | ||||
\(21\) | −1.98181 | − | 4.13188i | −0.432467 | − | 0.901650i | ||||
\(22\) | 0.188615 | − | 1.06969i | 0.0402129 | − | 0.228059i | ||||
\(23\) | −1.35415 | − | 0.238774i | −0.282361 | − | 0.0497878i | 0.0306742 | − | 0.999529i | \(-0.490235\pi\) |
−0.313035 | + | 0.949742i | \(0.601346\pi\) | |||||||
\(24\) | 2.08673 | + | 0.527523i | 0.425951 | + | 0.107680i | ||||
\(25\) | 2.42692 | − | 2.03643i | 0.485383 | − | 0.407285i | ||||
\(26\) | 0.545329 | + | 0.944538i | 0.106948 | + | 0.185239i | ||||
\(27\) | −3.51457 | + | 3.82725i | −0.676379 | + | 0.736554i | ||||
\(28\) | 5.02264 | + | 0.0165384i | 0.949189 | + | 0.00312546i | ||||
\(29\) | −2.81504 | + | 7.73427i | −0.522741 | + | 1.43622i | 0.344717 | + | 0.938707i | \(0.387975\pi\) |
−0.867458 | + | 0.497511i | \(0.834247\pi\) | |||||||
\(30\) | 1.52982 | + | 0.386739i | 0.279306 | + | 0.0706085i | ||||
\(31\) | 0.756904 | + | 2.07958i | 0.135944 | + | 0.373503i | 0.988920 | − | 0.148446i | \(-0.0474272\pi\) |
−0.852977 | + | 0.521949i | \(0.825205\pi\) | |||||||
\(32\) | −2.29434 | + | 2.73429i | −0.405586 | + | 0.483358i | ||||
\(33\) | −5.31306 | + | 2.56991i | −0.924885 | + | 0.447364i | ||||
\(34\) | −0.955489 | − | 1.13871i | −0.163865 | − | 0.195287i | ||||
\(35\) | 7.56149 | + | 0.0248983i | 1.27813 | + | 0.00420858i | ||||
\(36\) | −2.09891 | − | 5.29429i | −0.349819 | − | 0.882381i | ||||
\(37\) | −1.76484 | −0.290138 | −0.145069 | − | 0.989422i | \(-0.546340\pi\) | ||||
−0.145069 | + | 0.989422i | \(0.546340\pi\) | |||||||
\(38\) | −1.65365 | − | 0.601880i | −0.268258 | − | 0.0976378i | ||||
\(39\) | 2.42808 | − | 5.40597i | 0.388803 | − | 0.865648i | ||||
\(40\) | −2.28289 | + | 2.72064i | −0.360957 | + | 0.430172i | ||||
\(41\) | 4.96713 | − | 1.80789i | 0.775735 | − | 0.282344i | 0.0763420 | − | 0.997082i | \(-0.475676\pi\) |
0.699393 | + | 0.714737i | \(0.253454\pi\) | |||||||
\(42\) | 0.850850 | + | 1.18739i | 0.131289 | + | 0.183219i | ||||
\(43\) | −1.57831 | − | 8.95103i | −0.240690 | − | 1.36502i | −0.830293 | − | 0.557327i | \(-0.811827\pi\) |
0.589603 | − | 0.807693i | \(-0.299284\pi\) | |||||||
\(44\) | − | 6.46875i | − | 0.975200i | ||||||
\(45\) | −3.15988 | − | 7.97046i | −0.471047 | − | 1.18817i | ||||
\(46\) | 0.438317 | 0.0646263 | ||||||||
\(47\) | 2.87974 | + | 1.04814i | 0.420054 | + | 0.152887i | 0.543395 | − | 0.839477i | \(-0.317139\pi\) |
−0.123341 | + | 0.992364i | \(0.539361\pi\) | |||||||
\(48\) | 5.87439 | + | 0.430058i | 0.847895 | + | 0.0620736i | ||||
\(49\) | 5.33256 | + | 4.53473i | 0.761795 | + | 0.647818i | ||||
\(50\) | −0.649143 | + | 0.773618i | −0.0918027 | + | 0.109406i | ||||
\(51\) | −1.97957 | + | 7.83060i | −0.277195 | + | 1.09650i | ||||
\(52\) | 4.17513 | + | 4.97572i | 0.578986 | + | 0.690009i | ||||
\(53\) | 1.30996 | + | 0.756305i | 0.179937 | + | 0.103886i | 0.587263 | − | 0.809396i | \(-0.300205\pi\) |
−0.407326 | + | 0.913283i | \(0.633539\pi\) | |||||||
\(54\) | 0.891454 | − | 1.39600i | 0.121311 | − | 0.189972i | ||||
\(55\) | − | 9.73859i | − | 1.31315i | ||||||
\(56\) | −3.23972 | + | 0.560257i | −0.432925 | + | 0.0748675i | ||||
\(57\) | 2.60560 | + | 9.20011i | 0.345121 | + | 1.21858i | ||||
\(58\) | 0.455592 | − | 2.58379i | 0.0598221 | − | 0.339268i | ||||
\(59\) | −5.25805 | − | 4.41203i | −0.684540 | − | 0.574397i | 0.232789 | − | 0.972527i | \(-0.425215\pi\) |
−0.917329 | + | 0.398130i | \(0.869659\pi\) | |||||||
\(60\) | 9.37229 | + | 0.686137i | 1.20996 | + | 0.0885799i | ||||
\(61\) | 3.36646 | − | 9.24926i | 0.431031 | − | 1.18425i | −0.514150 | − | 0.857700i | \(-0.671893\pi\) |
0.945181 | − | 0.326547i | \(-0.105885\pi\) | |||||||
\(62\) | −0.352721 | − | 0.610930i | −0.0447956 | − | 0.0775882i | ||||
\(63\) | 2.52678 | − | 7.52432i | 0.318345 | − | 0.947975i | ||||
\(64\) | −2.83176 | + | 4.90475i | −0.353970 | + | 0.613094i | ||||
\(65\) | 6.28558 | + | 7.49087i | 0.779631 | + | 0.929128i | ||||
\(66\) | 1.52564 | − | 1.10085i | 0.187793 | − | 0.135505i | ||||
\(67\) | −1.66553 | + | 9.44568i | −0.203477 | + | 1.15397i | 0.696342 | + | 0.717710i | \(0.254810\pi\) |
−0.899819 | + | 0.436264i | \(0.856302\pi\) | |||||||
\(68\) | −6.78150 | − | 5.69035i | −0.822377 | − | 0.690056i | ||||
\(69\) | −1.39360 | − | 1.93135i | −0.167769 | − | 0.232508i | ||||
\(70\) | −2.37511 | + | 0.410736i | −0.283879 | + | 0.0490924i | ||||
\(71\) | −9.64722 | − | 5.56983i | −1.14491 | − | 0.661017i | −0.197272 | − | 0.980349i | \(-0.563208\pi\) |
−0.947643 | + | 0.319332i | \(0.896541\pi\) | |||||||
\(72\) | 1.95486 | + | 3.17438i | 0.230382 | + | 0.374104i | ||||
\(73\) | − | 5.91133i | − | 0.691869i | −0.938259 | − | 0.345935i | \(-0.887562\pi\) | ||
0.938259 | − | 0.345935i | \(-0.112438\pi\) | |||||||
\(74\) | 0.554024 | − | 0.0976893i | 0.0644040 | − | 0.0113562i | ||||
\(75\) | 5.47269 | + | 0.400651i | 0.631932 | + | 0.0462631i | ||||
\(76\) | −10.3210 | − | 1.81988i | −1.18390 | − | 0.208754i | ||||
\(77\) | 5.81769 | − | 6.88707i | 0.662987 | − | 0.784854i | ||||
\(78\) | −0.462992 | + | 1.83146i | −0.0524235 | + | 0.207372i | ||||
\(79\) | 1.98492 | + | 11.2570i | 0.223321 | + | 1.26652i | 0.865869 | + | 0.500271i | \(0.166766\pi\) |
−0.642548 | + | 0.766245i | \(0.722123\pi\) | |||||||
\(80\) | −4.85952 | + | 8.41694i | −0.543311 | + | 0.941042i | ||||
\(81\) | −8.98551 | + | 0.510486i | −0.998390 | + | 0.0567207i | ||||
\(82\) | −1.45922 | + | 0.842484i | −0.161144 | + | 0.0930367i | ||||
\(83\) | 6.72578 | + | 2.44798i | 0.738250 | + | 0.268701i | 0.683653 | − | 0.729807i | \(-0.260390\pi\) |
0.0545974 | + | 0.998508i | \(0.482612\pi\) | |||||||
\(84\) | 6.21814 | + | 6.08410i | 0.678454 | + | 0.663829i | ||||
\(85\) | −10.2094 | − | 8.56673i | −1.10737 | − | 0.929192i | ||||
\(86\) | 0.990935 | + | 2.72257i | 0.106855 | + | 0.293582i | ||||
\(87\) | −12.8334 | + | 6.20749i | −1.37589 | + | 0.665513i | ||||
\(88\) | 0.735296 | + | 4.17007i | 0.0783828 | + | 0.444531i | ||||
\(89\) | 6.12929 | − | 10.6162i | 0.649703 | − | 1.12532i | −0.333491 | − | 0.942753i | \(-0.608227\pi\) |
0.983194 | − | 0.182565i | \(-0.0584401\pi\) | |||||||
\(90\) | 1.43315 | + | 2.32720i | 0.151067 | + | 0.245309i | ||||
\(91\) | −0.0298075 | + | 9.05240i | −0.00312467 | + | 0.948949i | ||||
\(92\) | 2.57071 | − | 0.453286i | 0.268015 | − | 0.0472583i | ||||
\(93\) | −1.57049 | + | 3.49660i | −0.162852 | + | 0.362580i | ||||
\(94\) | −0.962036 | − | 0.169633i | −0.0992265 | − | 0.0174963i | ||||
\(95\) | −15.5381 | − | 2.73979i | −1.59418 | − | 0.281097i | ||||
\(96\) | −6.15052 | + | 0.626146i | −0.627735 | + | 0.0639058i | ||||
\(97\) | −2.47531 | + | 0.436465i | −0.251330 | + | 0.0443163i | −0.297894 | − | 0.954599i | \(-0.596284\pi\) |
0.0465636 | + | 0.998915i | \(0.485173\pi\) | |||||||
\(98\) | −1.92503 | − | 1.12838i | −0.194457 | − | 0.113984i | ||||
\(99\) | −9.70132 | − | 3.22235i | −0.975019 | − | 0.323858i | ||||
\(100\) | −3.00716 | + | 5.20855i | −0.300716 | + | 0.520855i | ||||
\(101\) | 1.61753 | + | 9.17347i | 0.160950 | + | 0.912795i | 0.953142 | + | 0.302523i | \(0.0978288\pi\) |
−0.792192 | + | 0.610272i | \(0.791060\pi\) | |||||||
\(102\) | 0.187985 | − | 2.56778i | 0.0186133 | − | 0.254248i | ||||
\(103\) | 3.85481 | + | 10.5910i | 0.379825 | + | 1.04356i | 0.971429 | + | 0.237332i | \(0.0762730\pi\) |
−0.591603 | + | 0.806229i | \(0.701505\pi\) | |||||||
\(104\) | −3.25708 | − | 2.73301i | −0.319383 | − | 0.267994i | ||||
\(105\) | 9.36130 | + | 9.15950i | 0.913569 | + | 0.893876i | ||||
\(106\) | −0.453090 | − | 0.164911i | −0.0440080 | − | 0.0160176i | ||||
\(107\) | −5.79854 | + | 3.34779i | −0.560566 | + | 0.323643i | −0.753373 | − | 0.657594i | \(-0.771574\pi\) |
0.192807 | + | 0.981237i | \(0.438241\pi\) | |||||||
\(108\) | 3.78466 | − | 9.10939i | 0.364179 | − | 0.876552i | ||||
\(109\) | −8.30492 | + | 14.3845i | −0.795467 | + | 1.37779i | 0.127076 | + | 0.991893i | \(0.459441\pi\) |
−0.922542 | + | 0.385896i | \(0.873892\pi\) | |||||||
\(110\) | 0.539061 | + | 3.05717i | 0.0513975 | + | 0.291490i | ||||
\(111\) | −2.19193 | − | 2.13059i | −0.208048 | − | 0.202227i | ||||
\(112\) | −8.46477 | + | 3.04940i | −0.799846 | + | 0.288141i | ||||
\(113\) | 10.4246 | + | 1.83814i | 0.980666 | + | 0.172918i | 0.640927 | − | 0.767602i | \(-0.278550\pi\) |
0.339739 | + | 0.940520i | \(0.389661\pi\) | |||||||
\(114\) | −1.32721 | − | 2.74390i | −0.124305 | − | 0.256990i | ||||
\(115\) | 3.87016 | − | 0.682414i | 0.360894 | − | 0.0636354i | ||||
\(116\) | − | 15.6249i | − | 1.45074i | ||||||
\(117\) | 9.54200 | − | 3.78292i | 0.882158 | − | 0.349731i | ||||
\(118\) | 1.89484 | + | 1.09399i | 0.174434 | + | 0.100710i | ||||
\(119\) | −2.10241 | − | 12.1573i | −0.192727 | − | 1.11446i | ||||
\(120\) | −6.11983 | + | 0.623022i | −0.558662 | + | 0.0568739i | ||||
\(121\) | −0.468067 | − | 0.392755i | −0.0425516 | − | 0.0357050i | ||||
\(122\) | −0.544833 | + | 3.08990i | −0.0493269 | + | 0.279747i | ||||
\(123\) | 8.35172 | + | 3.75115i | 0.753050 | + | 0.338230i | ||||
\(124\) | −2.70048 | − | 3.21831i | −0.242511 | − | 0.289013i | ||||
\(125\) | 2.61776 | − | 4.53409i | 0.234139 | − | 0.405541i | ||||
\(126\) | −0.376722 | + | 2.50192i | −0.0335610 | + | 0.222889i | ||||
\(127\) | 8.48685 | + | 14.6997i | 0.753086 | + | 1.30438i | 0.946320 | + | 0.323231i | \(0.104769\pi\) |
−0.193234 | + | 0.981153i | \(0.561898\pi\) | |||||||
\(128\) | 3.05905 | − | 8.40466i | 0.270384 | − | 0.742874i | ||||
\(129\) | 8.84584 | − | 13.0226i | 0.778833 | − | 1.14657i | ||||
\(130\) | −2.38783 | − | 2.00363i | −0.209427 | − | 0.175730i | ||||
\(131\) | −2.77758 | + | 15.7524i | −0.242678 | + | 1.37629i | 0.583146 | + | 0.812367i | \(0.301821\pi\) |
−0.825824 | + | 0.563928i | \(0.809290\pi\) | |||||||
\(132\) | 7.80937 | − | 8.03417i | 0.679718 | − | 0.699285i | ||||
\(133\) | −9.35175 | − | 11.2198i | −0.810900 | − | 0.972880i | ||||
\(134\) | − | 3.05741i | − | 0.264120i | ||||||
\(135\) | 5.69774 | − | 13.7140i | 0.490383 | − | 1.18032i | ||||
\(136\) | 5.01850 | + | 2.89743i | 0.430333 | + | 0.248453i | ||||
\(137\) | −8.37647 | − | 9.98269i | −0.715650 | − | 0.852879i | 0.278550 | − | 0.960422i | \(-0.410146\pi\) |
−0.994200 | + | 0.107543i | \(0.965702\pi\) | |||||||
\(138\) | 0.544389 | + | 0.529157i | 0.0463415 | + | 0.0450448i | ||||
\(139\) | −2.63292 | + | 3.13779i | −0.223321 | + | 0.266144i | −0.866058 | − | 0.499943i | \(-0.833354\pi\) |
0.642737 | + | 0.766087i | \(0.277799\pi\) | |||||||
\(140\) | −13.5051 | + | 4.86516i | −1.14139 | + | 0.411181i | ||||
\(141\) | 2.31127 | + | 4.77835i | 0.194644 | + | 0.402410i | ||||
\(142\) | 3.33679 | + | 1.21449i | 0.280017 | + | 0.101918i | ||||
\(143\) | 11.6588 | 0.974954 | ||||||||
\(144\) | 6.77679 | + | 7.62596i | 0.564732 | + | 0.635497i | ||||
\(145\) | − | 23.5231i | − | 1.95349i | ||||||
\(146\) | 0.327211 | + | 1.85570i | 0.0270802 | + | 0.153579i | ||||
\(147\) | 1.14850 | + | 12.0698i | 0.0947265 | + | 0.995503i | ||||
\(148\) | 3.14830 | − | 1.14589i | 0.258789 | − | 0.0941913i | ||||
\(149\) | −0.958803 | + | 1.14266i | −0.0785482 | + | 0.0936101i | −0.803887 | − | 0.594782i | \(-0.797239\pi\) |
0.725339 | + | 0.688392i | \(0.241683\pi\) | |||||||
\(150\) | −1.74018 | + | 0.177157i | −0.142085 | + | 0.0144648i | ||||
\(151\) | 4.56459 | + | 1.66138i | 0.371461 | + | 0.135201i | 0.521004 | − | 0.853554i | \(-0.325558\pi\) |
−0.149542 | + | 0.988755i | \(0.547780\pi\) | |||||||
\(152\) | 6.86030 | 0.556444 | ||||||||
\(153\) | −11.9121 | + | 7.33576i | −0.963035 | + | 0.593061i | ||||
\(154\) | −1.44509 | + | 2.48404i | −0.116448 | + | 0.200169i | ||||
\(155\) | −4.06553 | − | 4.84511i | −0.326551 | − | 0.389169i | ||||
\(156\) | −0.821423 | + | 11.2202i | −0.0657665 | + | 0.898338i | ||||
\(157\) | 14.4796 | − | 17.2561i | 1.15560 | − | 1.37719i | 0.242149 | − | 0.970239i | \(-0.422148\pi\) |
0.913450 | − | 0.406951i | \(-0.133408\pi\) | |||||||
\(158\) | −1.24622 | − | 3.42397i | −0.0991443 | − | 0.272397i | ||||
\(159\) | 0.713919 | + | 2.52077i | 0.0566175 | + | 0.199910i | ||||
\(160\) | 3.48902 | − | 9.58599i | 0.275831 | − | 0.757839i | ||||
\(161\) | 3.14462 | + | 1.82938i | 0.247830 | + | 0.144175i | ||||
\(162\) | 2.79250 | − | 0.657629i | 0.219400 | − | 0.0516682i | ||||
\(163\) | −4.81306 | − | 8.33646i | −0.376988 | − | 0.652962i | 0.613635 | − | 0.789590i | \(-0.289707\pi\) |
−0.990622 | + | 0.136628i | \(0.956374\pi\) | |||||||
\(164\) | −7.68703 | + | 6.45018i | −0.600256 | + | 0.503675i | ||||
\(165\) | 11.7569 | − | 12.0953i | 0.915271 | − | 0.941618i | ||||
\(166\) | −2.24688 | − | 0.396186i | −0.174392 | − | 0.0307500i | ||||
\(167\) | 1.75065 | − | 9.92841i | 0.135469 | − | 0.768284i | −0.839063 | − | 0.544035i | \(-0.816896\pi\) |
0.974532 | − | 0.224249i | \(-0.0719929\pi\) | |||||||
\(168\) | −4.70009 | − | 3.21530i | −0.362620 | − | 0.248066i | ||||
\(169\) | 0.990731 | − | 0.831322i | 0.0762101 | − | 0.0639479i | ||||
\(170\) | 3.67917 | + | 2.12417i | 0.282180 | + | 0.162916i | ||||
\(171\) | −7.87063 | + | 14.5721i | −0.601882 | + | 1.11436i | ||||
\(172\) | 8.62734 | + | 14.9430i | 0.657828 | + | 1.13939i | ||||
\(173\) | −9.46890 | + | 7.94535i | −0.719907 | + | 0.604074i | −0.927360 | − | 0.374171i | \(-0.877927\pi\) |
0.207452 | + | 0.978245i | \(0.433483\pi\) | |||||||
\(174\) | 3.68511 | − | 2.65905i | 0.279368 | − | 0.201582i | ||||
\(175\) | −7.88594 | + | 2.84088i | −0.596121 | + | 0.214750i | ||||
\(176\) | 3.96323 | + | 10.8889i | 0.298740 | + | 0.820781i | ||||
\(177\) | −1.20408 | − | 11.8275i | −0.0905044 | − | 0.889009i | ||||
\(178\) | −1.33648 | + | 3.67196i | −0.100174 | + | 0.275225i | ||||
\(179\) | −13.6692 | + | 7.89190i | −1.02168 | + | 0.589868i | −0.914591 | − | 0.404381i | \(-0.867487\pi\) |
−0.107091 | + | 0.994249i | \(0.534154\pi\) | |||||||
\(180\) | 10.8120 | + | 12.1668i | 0.805881 | + | 0.906863i | ||||
\(181\) | 11.3602 | − | 6.55879i | 0.844393 | − | 0.487511i | −0.0143618 | − | 0.999897i | \(-0.504572\pi\) |
0.858755 | + | 0.512386i | \(0.171238\pi\) | |||||||
\(182\) | −0.491721 | − | 2.84341i | −0.0364488 | − | 0.210767i | ||||
\(183\) | 15.3473 | − | 7.42342i | 1.13450 | − | 0.548755i | ||||
\(184\) | −1.60568 | + | 0.584420i | −0.118372 | + | 0.0430840i | ||||
\(185\) | 4.73971 | − | 1.72511i | 0.348470 | − | 0.126833i | ||||
\(186\) | 0.299465 | − | 1.18459i | 0.0219578 | − | 0.0868587i | ||||
\(187\) | −15.6485 | + | 2.75926i | −1.14433 | + | 0.201777i | ||||
\(188\) | −5.81773 | −0.424301 | ||||||||
\(189\) | 12.2220 | − | 6.29473i | 0.889017 | − | 0.457875i | ||||
\(190\) | 5.02943 | 0.364874 | ||||||||
\(191\) | 17.5029 | − | 3.08624i | 1.26647 | − | 0.223313i | 0.500244 | − | 0.865885i | \(-0.333244\pi\) |
0.766225 | + | 0.642572i | \(0.222133\pi\) | |||||||
\(192\) | −9.43828 | + | 2.67306i | −0.681149 | + | 0.192911i | ||||
\(193\) | 12.8024 | − | 4.65969i | 0.921537 | − | 0.335412i | 0.162687 | − | 0.986678i | \(-0.447984\pi\) |
0.758850 | + | 0.651266i | \(0.225762\pi\) | |||||||
\(194\) | 0.752899 | − | 0.274033i | 0.0540550 | − | 0.0196744i | ||||
\(195\) | −1.23664 | + | 16.8919i | −0.0885575 | + | 1.20965i | ||||
\(196\) | −12.4571 | − | 4.62715i | −0.889793 | − | 0.330510i | ||||
\(197\) | 7.98620 | − | 4.61083i | 0.568993 | − | 0.328508i | −0.187754 | − | 0.982216i | \(-0.560121\pi\) |
0.756747 | + | 0.653708i | \(0.226787\pi\) | |||||||
\(198\) | 3.22384 | + | 0.474572i | 0.229108 | + | 0.0337263i | ||||
\(199\) | −0.232253 | + | 0.134091i | −0.0164640 | + | 0.00950548i | −0.508209 | − | 0.861234i | \(-0.669692\pi\) |
0.491745 | + | 0.870739i | \(0.336359\pi\) | |||||||
\(200\) | 1.34651 | − | 3.69951i | 0.0952126 | − | 0.261595i | ||||
\(201\) | −13.4718 | + | 9.72081i | −0.950230 | + | 0.685653i | ||||
\(202\) | −1.01556 | − | 2.79023i | −0.0714546 | − | 0.196320i | ||||
\(203\) | 14.0523 | − | 16.6354i | 0.986281 | − | 1.16757i | ||||
\(204\) | −1.55295 | − | 15.2543i | −0.108728 | − | 1.06802i | ||||
\(205\) | −11.5727 | + | 9.71064i | −0.808272 | + | 0.678221i | ||||
\(206\) | −1.79636 | − | 3.11138i | −0.125158 | − | 0.216780i | ||||
\(207\) | 0.600774 | − | 4.08115i | 0.0417567 | − | 0.283660i | ||||
\(208\) | −10.0765 | − | 5.81768i | −0.698680 | − | 0.403383i | ||||
\(209\) | −14.4104 | + | 12.0917i | −0.996787 | + | 0.836404i | ||||
\(210\) | −3.44574 | − | 2.35720i | −0.237778 | − | 0.162663i | ||||
\(211\) | −2.27165 | + | 12.8832i | −0.156387 | + | 0.886914i | 0.801120 | + | 0.598503i | \(0.204238\pi\) |
−0.957507 | + | 0.288410i | \(0.906873\pi\) | |||||||
\(212\) | −2.82789 | − | 0.498634i | −0.194221 | − | 0.0342463i | ||||
\(213\) | −5.25768 | − | 18.5643i | −0.360250 | − | 1.27200i | ||||
\(214\) | 1.63499 | − | 1.37192i | 0.111765 | − | 0.0937822i | ||||
\(215\) | 12.9883 | + | 22.4964i | 0.885795 | + | 1.53424i | ||||
\(216\) | −1.40432 | + | 6.30256i | −0.0955519 | + | 0.428835i | ||||
\(217\) | 0.0192796 | − | 5.85512i | 0.00130878 | − | 0.397471i | ||||
\(218\) | 1.81088 | − | 4.97534i | 0.122648 | − | 0.336973i | ||||
\(219\) | 7.13643 | − | 7.34186i | 0.482236 | − | 0.496117i | ||||
\(220\) | 6.32314 | + | 17.3727i | 0.426306 | + | 1.17127i | ||||
\(221\) | 10.2558 | − | 12.2224i | 0.689882 | − | 0.822170i | ||||
\(222\) | 0.806031 | + | 0.547513i | 0.0540973 | + | 0.0367467i | ||||
\(223\) | 9.50475 | + | 11.3273i | 0.636485 | + | 0.758534i | 0.983811 | − | 0.179211i | \(-0.0573545\pi\) |
−0.347325 | + | 0.937745i | \(0.612910\pi\) | |||||||
\(224\) | 8.19393 | − | 4.69486i | 0.547480 | − | 0.313689i | ||||
\(225\) | 6.31338 | + | 7.10449i | 0.420892 | + | 0.473633i | ||||
\(226\) | −3.37428 | −0.224454 | ||||||||
\(227\) | −8.61703 | − | 3.13634i | −0.571933 | − | 0.208166i | 0.0398319 | − | 0.999206i | \(-0.487318\pi\) |
−0.611764 | + | 0.791040i | \(0.709540\pi\) | |||||||
\(228\) | −10.6217 | − | 14.7203i | −0.703436 | − | 0.974875i | ||||
\(229\) | 8.22374 | − | 9.80068i | 0.543440 | − | 0.647647i | −0.422515 | − | 0.906356i | \(-0.638853\pi\) |
0.965955 | + | 0.258709i | \(0.0832971\pi\) | |||||||
\(230\) | −1.17716 | + | 0.428451i | −0.0776196 | + | 0.0282512i | ||||
\(231\) | 15.5399 | − | 1.53034i | 1.02245 | − | 0.100689i | ||||
\(232\) | 1.77607 | + | 10.0726i | 0.116605 | + | 0.661299i | ||||
\(233\) | − | 17.0668i | − | 1.11808i | −0.829140 | − | 0.559042i | \(-0.811169\pi\) | ||
0.829140 | − | 0.559042i | \(-0.188831\pi\) | |||||||
\(234\) | −2.78606 | + | 1.71572i | −0.182130 | + | 0.112160i | ||||
\(235\) | −8.75849 | −0.571341 | ||||||||
\(236\) | 12.2445 | + | 4.45664i | 0.797050 | + | 0.290103i | ||||
\(237\) | −11.1248 | + | 16.3775i | −0.722630 | + | 1.06383i | ||||
\(238\) | 1.33294 | + | 3.70008i | 0.0864015 | + | 0.239841i | ||||
\(239\) | −4.33839 | + | 5.17029i | −0.280627 | + | 0.334438i | −0.887884 | − | 0.460067i | \(-0.847825\pi\) |
0.607257 | + | 0.794505i | \(0.292270\pi\) | |||||||
\(240\) | −16.1968 | + | 4.58718i | −1.04550 | + | 0.296101i | ||||
\(241\) | −1.80490 | − | 2.15100i | −0.116264 | − | 0.138558i | 0.704773 | − | 0.709432i | \(-0.251049\pi\) |
−0.821037 | + | 0.570875i | \(0.806604\pi\) | |||||||
\(242\) | 0.168677 | + | 0.0973859i | 0.0108430 | + | 0.00626021i | ||||
\(243\) | −11.7763 | − | 10.2137i | −0.755448 | − | 0.655209i | ||||
\(244\) | 18.6856i | 1.19622i | ||||||||
\(245\) | −18.7540 | − | 6.96609i | −1.19815 | − | 0.445047i | ||||
\(246\) | −2.82944 | − | 0.715280i | −0.180398 | − | 0.0456046i | ||||
\(247\) | 3.28000 | − | 18.6018i | 0.208701 | − | 1.18360i | ||||
\(248\) | 2.10669 | + | 1.76772i | 0.133775 | + | 0.112250i | ||||
\(249\) | 5.39808 | + | 11.1601i | 0.342090 | + | 0.707240i | ||||
\(250\) | −0.570798 | + | 1.56826i | −0.0361005 | + | 0.0991852i | ||||
\(251\) | 11.4184 | + | 19.7772i | 0.720720 | + | 1.24832i | 0.960712 | + | 0.277549i | \(0.0895220\pi\) |
−0.239992 | + | 0.970775i | \(0.577145\pi\) | |||||||
\(252\) | 0.377908 | + | 15.0633i | 0.0238059 | + | 0.948896i | ||||
\(253\) | 2.34273 | − | 4.05772i | 0.147286 | − | 0.255107i | ||||
\(254\) | −3.47789 | − | 4.14479i | −0.218222 | − | 0.260067i | ||||
\(255\) | −2.33794 | − | 22.9651i | −0.146407 | − | 1.43813i | ||||
\(256\) | 1.47184 | − | 8.34721i | 0.0919899 | − | 0.521701i | ||||
\(257\) | −9.59035 | − | 8.04726i | −0.598229 | − | 0.501974i | 0.292647 | − | 0.956221i | \(-0.405464\pi\) |
−0.890876 | + | 0.454247i | \(0.849908\pi\) | |||||||
\(258\) | −2.05607 | + | 4.57773i | −0.128006 | + | 0.284997i | ||||
\(259\) | 4.38245 | + | 1.61144i | 0.272312 | + | 0.100130i | ||||
\(260\) | −16.0766 | − | 9.28182i | −0.997027 | − | 0.575634i | ||||
\(261\) | −23.4331 | − | 7.78343i | −1.45047 | − | 0.481782i | ||||
\(262\) | − | 5.09880i | − | 0.315005i | ||||||
\(263\) | −12.5268 | + | 2.20881i | −0.772435 | + | 0.136201i | −0.545955 | − | 0.837815i | \(-0.683833\pi\) |
−0.226480 | + | 0.974016i | \(0.572722\pi\) | |||||||
\(264\) | −4.12107 | + | 6.06690i | −0.253634 | + | 0.373392i | ||||
\(265\) | −4.25735 | − | 0.750685i | −0.261527 | − | 0.0461142i | ||||
\(266\) | 3.55678 | + | 3.00451i | 0.218080 | + | 0.184218i | ||||
\(267\) | 20.4290 | − | 5.78578i | 1.25023 | − | 0.354084i | ||||
\(268\) | −3.16182 | − | 17.9316i | −0.193139 | − | 1.09534i | ||||
\(269\) | −9.79421 | + | 16.9641i | −0.597163 | + | 1.03432i | 0.396074 | + | 0.918218i | \(0.370372\pi\) |
−0.993238 | + | 0.116099i | \(0.962961\pi\) | |||||||
\(270\) | −1.02954 | + | 4.62054i | −0.0626556 | + | 0.281197i | ||||
\(271\) | 16.1584 | − | 9.32907i | 0.981555 | − | 0.566701i | 0.0788154 | − | 0.996889i | \(-0.474886\pi\) |
0.902739 | + | 0.430188i | \(0.141553\pi\) | |||||||
\(272\) | 14.9017 | + | 5.42376i | 0.903546 | + | 0.328864i | ||||
\(273\) | −10.9655 | + | 11.2071i | −0.663662 | + | 0.678283i | ||||
\(274\) | 3.18214 | + | 2.67013i | 0.192240 | + | 0.161309i | ||||
\(275\) | 3.69222 | + | 10.1443i | 0.222649 | + | 0.611724i | ||||
\(276\) | 3.74004 | + | 2.54050i | 0.225124 | + | 0.152920i | ||||
\(277\) | −0.463675 | − | 2.62963i | −0.0278595 | − | 0.157999i | 0.967704 | − | 0.252088i | \(-0.0811173\pi\) |
−0.995564 | + | 0.0940890i | \(0.970006\pi\) | |||||||
\(278\) | 0.652848 | − | 1.13077i | 0.0391552 | − | 0.0678188i | ||||
\(279\) | −6.17179 | + | 2.44680i | −0.369496 | + | 0.146486i | ||||
\(280\) | 8.15305 | − | 4.67144i | 0.487238 | − | 0.279172i | ||||
\(281\) | 17.0926 | − | 3.01388i | 1.01966 | − | 0.179793i | 0.361261 | − | 0.932465i | \(-0.382346\pi\) |
0.658396 | + | 0.752672i | \(0.271235\pi\) | |||||||
\(282\) | −0.990058 | − | 1.37210i | −0.0589571 | − | 0.0817073i | ||||
\(283\) | 1.07644 | + | 0.189805i | 0.0639875 | + | 0.0112827i | 0.205550 | − | 0.978647i | \(-0.434102\pi\) |
−0.141563 | + | 0.989929i | \(0.545213\pi\) | |||||||
\(284\) | 20.8261 | + | 3.67221i | 1.23580 | + | 0.217905i | ||||
\(285\) | −15.9907 | − | 22.1612i | −0.947208 | − | 1.31271i | ||||
\(286\) | −3.65995 | + | 0.645349i | −0.216418 | + | 0.0381603i | ||||
\(287\) | −13.9851 | − | 0.0460498i | −0.825516 | − | 0.00271823i | ||||
\(288\) | −8.39485 | − | 6.64752i | −0.494671 | − | 0.391709i | ||||
\(289\) | −2.37284 | + | 4.10988i | −0.139579 | + | 0.241758i | ||||
\(290\) | 1.30208 | + | 7.38444i | 0.0764606 | + | 0.433629i | ||||
\(291\) | −3.60125 | − | 2.44623i | −0.211109 | − | 0.143400i | ||||
\(292\) | 3.83815 | + | 10.5452i | 0.224611 | + | 0.617113i | ||||
\(293\) | 16.1311 | + | 13.5356i | 0.942391 | + | 0.790760i | 0.978000 | − | 0.208606i | \(-0.0668926\pi\) |
−0.0356088 | + | 0.999366i | \(0.511337\pi\) | |||||||
\(294\) | −1.02864 | − | 3.72543i | −0.0599917 | − | 0.217271i | ||||
\(295\) | 18.4339 | + | 6.70940i | 1.07326 | + | 0.390636i | ||||
\(296\) | −1.89930 | + | 1.09656i | −0.110394 | + | 0.0637362i | ||||
\(297\) | −8.15885 | − | 15.7140i | −0.473424 | − | 0.911820i | ||||
\(298\) | 0.237741 | − | 0.411779i | 0.0137720 | − | 0.0238537i | ||||
\(299\) | 0.816966 | + | 4.63324i | 0.0472464 | + | 0.267947i | ||||
\(300\) | −10.0229 | + | 2.83863i | −0.578671 | + | 0.163888i | ||||
\(301\) | −4.25377 | + | 23.6683i | −0.245183 | + | 1.36422i | ||||
\(302\) | −1.52489 | − | 0.268880i | −0.0877478 | − | 0.0154723i | ||||
\(303\) | −9.06567 | + | 13.3462i | −0.520809 | + | 0.766718i | ||||
\(304\) | 18.4884 | − | 3.26001i | 1.06039 | − | 0.186974i | ||||
\(305\) | 28.1308i | 1.61077i | ||||||||
\(306\) | 3.33342 | − | 2.96224i | 0.190559 | − | 0.169340i | ||||
\(307\) | −19.7567 | − | 11.4065i | −1.12757 | − | 0.651004i | −0.184249 | − | 0.982880i | \(-0.558985\pi\) |
−0.943323 | + | 0.331876i | \(0.892318\pi\) | |||||||
\(308\) | −5.90650 | + | 16.0632i | −0.336554 | + | 0.915285i | ||||
\(309\) | −7.99827 | + | 17.8077i | −0.455006 | + | 1.01304i | ||||
\(310\) | 1.54446 | + | 1.29595i | 0.0877193 | + | 0.0736052i | ||||
\(311\) | −3.90921 | + | 22.1702i | −0.221671 | + | 1.25716i | 0.647277 | + | 0.762255i | \(0.275908\pi\) |
−0.868948 | + | 0.494903i | \(0.835204\pi\) | |||||||
\(312\) | −0.745864 | − | 7.32649i | −0.0422262 | − | 0.414781i | ||||
\(313\) | −0.907448 | − | 1.08145i | −0.0512920 | − | 0.0611274i | 0.739788 | − | 0.672839i | \(-0.234926\pi\) |
−0.791080 | + | 0.611712i | \(0.790481\pi\) | |||||||
\(314\) | −3.59031 | + | 6.21859i | −0.202613 | + | 0.350935i | ||||
\(315\) | 0.568934 | + | 22.6775i | 0.0320558 | + | 1.27773i | ||||
\(316\) | −10.8500 | − | 18.7927i | −0.610358 | − | 1.05717i | ||||
\(317\) | −2.34444 | + | 6.44131i | −0.131677 | + | 0.361780i | −0.987956 | − | 0.154733i | \(-0.950548\pi\) |
0.856279 | + | 0.516513i | \(0.172770\pi\) | |||||||
\(318\) | −0.363648 | − | 0.751810i | −0.0203924 | − | 0.0421594i | ||||
\(319\) | −21.4844 | − | 18.0275i | −1.20289 | − | 1.00935i | ||||
\(320\) | 2.81072 | − | 15.9404i | 0.157124 | − | 0.891095i | ||||
\(321\) | −11.2434 | − | 2.84232i | −0.627544 | − | 0.158643i | ||||
\(322\) | −1.08843 | − | 0.400219i | −0.0606558 | − | 0.0223034i | ||||
\(323\) | 25.7438i | 1.43242i | ||||||||
\(324\) | 15.6978 | − | 6.74483i | 0.872101 | − | 0.374713i | ||||
\(325\) | −9.38747 | − | 5.41986i | −0.520723 | − | 0.300640i | ||||
\(326\) | 1.97238 | + | 2.35059i | 0.109240 | + | 0.130187i | ||||
\(327\) | −27.6804 | + | 7.83948i | −1.53073 | + | 0.433524i | ||||
\(328\) | 4.22225 | − | 5.03188i | 0.233135 | − | 0.277839i | ||||
\(329\) | −6.19394 | − | 5.23219i | −0.341483 | − | 0.288460i | ||||
\(330\) | −3.02124 | + | 4.44778i | −0.166314 | + | 0.244842i | ||||
\(331\) | −2.79664 | − | 1.01790i | −0.153717 | − | 0.0559486i | 0.264015 | − | 0.964518i | \(-0.414953\pi\) |
−0.417733 | + | 0.908570i | \(0.637175\pi\) | |||||||
\(332\) | −13.5876 | −0.745715 | ||||||||
\(333\) | −0.150215 | − | 5.29238i | −0.00823171 | − | 0.290021i | ||||
\(334\) | 3.21366i | 0.175844i | ||||||||
\(335\) | −4.76007 | − | 26.9957i | −0.260070 | − | 1.47493i | ||||
\(336\) | −14.1946 | − | 6.43171i | −0.774379 | − | 0.350879i | ||||
\(337\) | 23.6884 | − | 8.62186i | 1.29039 | − | 0.469663i | 0.396534 | − | 0.918020i | \(-0.370213\pi\) |
0.893854 | + | 0.448357i | \(0.147991\pi\) | |||||||
\(338\) | −0.264997 | + | 0.315811i | −0.0144139 | + | 0.0171779i | ||||
\(339\) | 10.7283 | + | 14.8681i | 0.582680 | + | 0.807522i | ||||
\(340\) | 23.7749 | + | 8.65335i | 1.28937 | + | 0.469294i | ||||
\(341\) | −7.54092 | −0.408364 | ||||||||
\(342\) | 1.66416 | − | 5.01019i | 0.0899876 | − | 0.270920i | ||||
\(343\) | −9.10124 | − | 16.1297i | −0.491421 | − | 0.870922i | ||||
\(344\) | −7.26016 | − | 8.65232i | −0.391442 | − | 0.466502i | ||||
\(345\) | 5.63057 | + | 3.82468i | 0.303140 | + | 0.205914i | ||||
\(346\) | 2.53271 | − | 3.01836i | 0.136159 | − | 0.162268i | ||||
\(347\) | 0.787258 | + | 2.16297i | 0.0422622 | + | 0.116114i | 0.959029 | − | 0.283310i | \(-0.0914324\pi\) |
−0.916766 | + | 0.399424i | \(0.869210\pi\) | |||||||
\(348\) | 18.8632 | − | 19.4061i | 1.01117 | − | 1.04028i | ||||
\(349\) | −2.39148 | + | 6.57053i | −0.128013 | + | 0.351712i | −0.987097 | − | 0.160121i | \(-0.948811\pi\) |
0.859084 | + | 0.511834i | \(0.171034\pi\) | |||||||
\(350\) | 2.31833 | − | 1.32833i | 0.123920 | − | 0.0710022i | ||||
\(351\) | 16.4180 | + | 6.82117i | 0.876331 | + | 0.364087i | ||||
\(352\) | −6.08129 | − | 10.5331i | −0.324134 | − | 0.561416i | ||||
\(353\) | 16.9198 | − | 14.1974i | 0.900550 | − | 0.755651i | −0.0697482 | − | 0.997565i | \(-0.522220\pi\) |
0.970298 | + | 0.241914i | \(0.0777751\pi\) | |||||||
\(354\) | 1.03268 | + | 3.64627i | 0.0548862 | + | 0.193797i | ||||
\(355\) | 31.3534 | + | 5.52844i | 1.66406 | + | 0.293419i | ||||
\(356\) | −4.04106 | + | 22.9180i | −0.214176 | + | 1.21465i | ||||
\(357\) | 12.0657 | − | 17.6374i | 0.638582 | − | 0.933472i | ||||
\(358\) | 3.85423 | − | 3.23408i | 0.203702 | − | 0.170926i | ||||
\(359\) | −28.2380 | − | 16.3032i | −1.49035 | − | 0.860451i | −0.490407 | − | 0.871494i | \(-0.663152\pi\) |
−0.999939 | + | 0.0110424i | \(0.996485\pi\) | |||||||
\(360\) | −8.35296 | − | 6.61435i | −0.440240 | − | 0.348607i | ||||
\(361\) | 5.73852 | + | 9.93941i | 0.302027 | + | 0.523127i | ||||
\(362\) | −3.20317 | + | 2.68777i | −0.168355 | + | 0.141266i | ||||
\(363\) | −0.107186 | − | 1.05287i | −0.00562583 | − | 0.0552615i | ||||
\(364\) | −5.82443 | − | 16.1679i | −0.305283 | − | 0.847431i | ||||
\(365\) | 5.77827 | + | 15.8757i | 0.302449 | + | 0.830971i | ||||
\(366\) | −4.40695 | + | 3.17990i | −0.230355 | + | 0.166216i | ||||
\(367\) | −1.45484 | + | 3.99714i | −0.0759420 | + | 0.208649i | −0.971855 | − | 0.235581i | \(-0.924301\pi\) |
0.895913 | + | 0.444230i | \(0.146523\pi\) | |||||||
\(368\) | −4.04958 | + | 2.33803i | −0.211099 | + | 0.121878i | ||||
\(369\) | 5.84426 | + | 14.7415i | 0.304240 | + | 0.767412i | ||||
\(370\) | −1.39241 | + | 0.803911i | −0.0723882 | + | 0.0417933i | ||||
\(371\) | −2.56232 | − | 3.07415i | −0.133029 | − | 0.159602i | ||||
\(372\) | 0.531299 | − | 7.25728i | 0.0275466 | − | 0.376273i | ||||
\(373\) | 22.9007 | − | 8.33516i | 1.18575 | − | 0.431578i | 0.327521 | − | 0.944844i | \(-0.393787\pi\) |
0.858230 | + | 0.513266i | \(0.171564\pi\) | |||||||
\(374\) | 4.75970 | − | 1.73239i | 0.246118 | − | 0.0895797i | ||||
\(375\) | 8.72500 | − | 2.47105i | 0.450557 | − | 0.127604i | ||||
\(376\) | 3.75039 | − | 0.661295i | 0.193412 | − | 0.0341037i | ||||
\(377\) | 28.1612 | 1.45037 | ||||||||
\(378\) | −3.48832 | + | 2.65259i | −0.179420 | + | 0.136434i | ||||
\(379\) | −17.8518 | −0.916987 | −0.458493 | − | 0.888698i | \(-0.651611\pi\) | ||||
−0.458493 | + | 0.888698i | \(0.651611\pi\) | |||||||
\(380\) | 29.4974 | − | 5.20119i | 1.51319 | − | 0.266815i | ||||
\(381\) | −7.20545 | + | 28.5027i | −0.369147 | + | 1.46024i | ||||
\(382\) | −5.32375 | + | 1.93769i | −0.272387 | + | 0.0991406i | ||||
\(383\) | 25.7206 | − | 9.36155i | 1.31426 | − | 0.478353i | 0.412648 | − | 0.910891i | \(-0.364604\pi\) |
0.901616 | + | 0.432538i | \(0.142382\pi\) | |||||||
\(384\) | 13.9458 | − | 6.74555i | 0.711670 | − | 0.344232i | ||||
\(385\) | −8.89213 | + | 24.1829i | −0.453185 | + | 1.23247i | ||||
\(386\) | −3.76104 | + | 2.17144i | −0.191432 | + | 0.110523i | ||||
\(387\) | 26.7079 | − | 5.49489i | 1.35764 | − | 0.279321i | ||||
\(388\) | 4.13233 | − | 2.38580i | 0.209787 | − | 0.121121i | ||||
\(389\) | 5.57461 | − | 15.3161i | 0.282644 | − | 0.776558i | −0.714401 | − | 0.699736i | \(-0.753301\pi\) |
0.997045 | − | 0.0768211i | \(-0.0244770\pi\) | |||||||
\(390\) | −0.546809 | − | 5.37120i | −0.0276887 | − | 0.271981i | ||||
\(391\) | −2.19308 | − | 6.02544i | −0.110909 | − | 0.304720i | ||||
\(392\) | 8.55643 | + | 1.56690i | 0.432165 | + | 0.0791403i | ||||
\(393\) | −22.4668 | + | 16.2112i | −1.13330 | + | 0.817749i | ||||
\(394\) | −2.25183 | + | 1.88951i | −0.113446 | + | 0.0951921i | ||||
\(395\) | −16.3344 | − | 28.2920i | −0.821874 | − | 1.42353i | ||||
\(396\) | 19.3984 | − | 0.550589i | 0.974808 | − | 0.0276681i | ||||
\(397\) | 3.94601 | + | 2.27823i | 0.198045 | + | 0.114341i | 0.595743 | − | 0.803175i | \(-0.296858\pi\) |
−0.397698 | + | 0.917516i | \(0.630191\pi\) | |||||||
\(398\) | 0.0654872 | − | 0.0549503i | 0.00328258 | − | 0.00275441i | ||||
\(399\) | 1.93021 | − | 25.2248i | 0.0966314 | − | 1.26282i | ||||
\(400\) | 1.87083 | − | 10.6100i | 0.0935414 | − | 0.530499i | ||||
\(401\) | −37.1238 | − | 6.54593i | −1.85388 | − | 0.326888i | −0.868289 | − | 0.496059i | \(-0.834780\pi\) |
−0.985587 | + | 0.169170i | \(0.945891\pi\) | |||||||
\(402\) | 3.69104 | − | 3.79729i | 0.184093 | − | 0.189392i | ||||
\(403\) | 5.80043 | − | 4.86714i | 0.288940 | − | 0.242449i | ||||
\(404\) | −8.84173 | − | 15.3143i | −0.439893 | − | 0.761916i | ||||
\(405\) | 23.6328 | − | 10.1542i | 1.17432 | − | 0.504568i | ||||
\(406\) | −3.49053 | + | 6.00007i | −0.173232 | + | 0.297778i | ||||
\(407\) | 2.05680 | − | 5.65101i | 0.101952 | − | 0.280110i | ||||
\(408\) | 2.73505 | + | 9.65717i | 0.135405 | + | 0.478101i | ||||
\(409\) | −0.342534 | − | 0.941105i | −0.0169372 | − | 0.0465347i | 0.930936 | − | 0.365183i | \(-0.118993\pi\) |
−0.947873 | + | 0.318648i | \(0.896771\pi\) | |||||||
\(410\) | 3.09542 | − | 3.68898i | 0.152872 | − | 0.182186i | ||||
\(411\) | 1.64800 | − | 22.5109i | 0.0812901 | − | 1.11038i | ||||
\(412\) | −13.7532 | − | 16.3904i | −0.677571 | − | 0.807498i | ||||
\(413\) | 9.02825 | + | 15.7570i | 0.444251 | + | 0.775350i | ||||
\(414\) | 0.0373075 | + | 1.31442i | 0.00183356 | + | 0.0646003i | ||||
\(415\) | −20.4559 | −1.00414 | ||||||||
\(416\) | 11.4761 | + | 4.17695i | 0.562661 | + | 0.204792i | ||||
\(417\) | −7.05817 | + | 0.718548i | −0.345640 | + | 0.0351874i | ||||
\(418\) | 3.85444 | − | 4.59354i | 0.188527 | − | 0.224677i | ||||
\(419\) | 2.20646 | − | 0.803084i | 0.107792 | − | 0.0392332i | −0.287561 | − | 0.957762i | \(-0.592844\pi\) |
0.395353 | + | 0.918529i | \(0.370622\pi\) | |||||||
\(420\) | −22.6468 | − | 10.2615i | −1.10505 | − | 0.500709i | ||||
\(421\) | 1.14047 | + | 6.46793i | 0.0555831 | + | 0.315228i | 0.999905 | − | 0.0137960i | \(-0.00439155\pi\) |
−0.944322 | + | 0.329024i | \(0.893280\pi\) | |||||||
\(422\) | − | 4.17007i | − | 0.202996i | ||||||
\(423\) | −2.89805 | + | 8.72497i | −0.140908 | + | 0.424223i | ||||
\(424\) | 1.87968 | 0.0912853 | ||||||||
\(425\) | 13.8827 | + | 5.05288i | 0.673409 | + | 0.245101i | ||||
\(426\) | 2.67810 | + | 5.53673i | 0.129754 | + | 0.268255i | ||||
\(427\) | −16.8049 | + | 19.8939i | −0.813247 | + | 0.962734i | ||||
\(428\) | 8.17035 | − | 9.73704i | 0.394929 | − | 0.470658i | ||||
\(429\) | 14.4801 | + | 14.0750i | 0.699108 | + | 0.679547i | ||||
\(430\) | −5.32258 | − | 6.34320i | −0.256677 | − | 0.305896i | ||||
\(431\) | −13.3456 | − | 7.70506i | −0.642833 | − | 0.371140i | 0.142872 | − | 0.989741i | \(-0.454366\pi\) |
−0.785705 | + | 0.618602i | \(0.787700\pi\) | |||||||
\(432\) | −0.789656 | + | 17.6527i | −0.0379923 | + | 0.849314i | ||||
\(433\) | 9.87188i | 0.474412i | 0.971459 | + | 0.237206i | \(0.0762317\pi\) | ||||
−0.971459 | + | 0.237206i | \(0.923768\pi\) | |||||||
\(434\) | 0.318047 | + | 1.83912i | 0.0152667 | + | 0.0882808i | ||||
\(435\) | 28.3982 | − | 29.2156i | 1.36159 | − | 1.40078i | ||||
\(436\) | 5.47546 | − | 31.0529i | 0.262227 | − | 1.48716i | ||||
\(437\) | −5.81510 | − | 4.87945i | −0.278174 | − | 0.233416i | ||||
\(438\) | −1.83390 | + | 2.69980i | −0.0876270 | + | 0.129002i | ||||
\(439\) | −12.0752 | + | 33.1763i | −0.576317 | + | 1.58342i | 0.218021 | + | 0.975944i | \(0.430040\pi\) |
−0.794339 | + | 0.607475i | \(0.792182\pi\) | |||||||
\(440\) | −6.05094 | − | 10.4805i | −0.288467 | − | 0.499640i | ||||
\(441\) | −13.1448 | + | 16.3772i | −0.625944 | + | 0.779868i | ||||
\(442\) | −2.54299 | + | 4.40460i | −0.120958 | + | 0.209505i | ||||
\(443\) | 2.86061 | + | 3.40914i | 0.135912 | + | 0.161973i | 0.829707 | − | 0.558199i | \(-0.188507\pi\) |
−0.693796 | + | 0.720172i | \(0.744063\pi\) | |||||||
\(444\) | 5.29355 | + | 2.37758i | 0.251221 | + | 0.112835i | ||||
\(445\) | −6.08375 | + | 34.5026i | −0.288397 | + | 1.63558i | ||||
\(446\) | −3.61076 | − | 3.02979i | −0.170975 | − | 0.143465i | ||||
\(447\) | −2.57030 | + | 0.261666i | −0.121571 | + | 0.0123764i | ||||
\(448\) | 11.5103 | − | 9.59385i | 0.543809 | − | 0.453267i | ||||
\(449\) | 4.96216 | + | 2.86491i | 0.234179 | + | 0.135203i | 0.612498 | − | 0.790472i | \(-0.290165\pi\) |
−0.378319 | + | 0.925675i | \(0.623498\pi\) | |||||||
\(450\) | −2.37517 | − | 1.88080i | −0.111967 | − | 0.0886617i | ||||
\(451\) | 18.0117i | 0.848138i | ||||||||
\(452\) | −19.7900 | + | 3.48951i | −0.930843 | + | 0.164133i | ||||
\(453\) | 3.66353 | + | 7.57401i | 0.172127 | + | 0.355858i | ||||
\(454\) | 2.87869 | + | 0.507591i | 0.135104 | + | 0.0238224i | ||||
\(455\) | −8.76859 | − | 24.3406i | −0.411078 | − | 1.14110i | ||||
\(456\) | 8.52048 | + | 8.28207i | 0.399008 | + | 0.387844i | ||||
\(457\) | 7.09654 | + | 40.2465i | 0.331962 | + | 1.88265i | 0.455384 | + | 0.890295i | \(0.349502\pi\) |
−0.123422 | + | 0.992354i | \(0.539387\pi\) | |||||||
\(458\) | −2.03913 | + | 3.53187i | −0.0952821 | + | 0.165033i | ||||
\(459\) | −23.6508 | − | 5.26982i | −1.10393 | − | 0.245974i | ||||
\(460\) | −6.46090 | + | 3.73020i | −0.301241 | + | 0.173922i | ||||
\(461\) | −25.5016 | − | 9.28183i | −1.18773 | − | 0.432298i | −0.328803 | − | 0.944399i | \(-0.606645\pi\) |
−0.858925 | + | 0.512101i | \(0.828867\pi\) | |||||||
\(462\) | −4.79363 | + | 1.34059i | −0.223020 | + | 0.0623700i | ||||
\(463\) | −9.76642 | − | 8.19500i | −0.453884 | − | 0.380854i | 0.386991 | − | 0.922084i | \(-0.373515\pi\) |
−0.840875 | + | 0.541230i | \(0.817959\pi\) | |||||||
\(464\) | 9.57299 | + | 26.3016i | 0.444415 | + | 1.22102i | ||||
\(465\) | 0.799861 | − | 10.9257i | 0.0370927 | − | 0.506668i | ||||
\(466\) | 0.944701 | + | 5.35766i | 0.0437624 | + | 0.248189i | ||||
\(467\) | 11.2722 | − | 19.5239i | 0.521613 | − | 0.903460i | −0.478071 | − | 0.878321i | \(-0.658664\pi\) |
0.999684 | − | 0.0251391i | \(-0.00800286\pi\) | |||||||
\(468\) | −14.5658 | + | 12.9438i | −0.673304 | + | 0.598330i | ||||
\(469\) | 12.7605 | − | 21.9347i | 0.589226 | − | 1.01285i | ||||
\(470\) | 2.74949 | − | 0.484810i | 0.126825 | − | 0.0223626i | ||||
\(471\) | 38.8160 | − | 3.95162i | 1.78855 | − | 0.182081i | ||||
\(472\) | −8.40000 | − | 1.48115i | −0.386641 | − | 0.0681753i | ||||
\(473\) | 30.5006 | + | 5.37808i | 1.40242 | + | 0.247284i | ||||
\(474\) | 2.58577 | − | 5.75707i | 0.118768 | − | 0.264431i | ||||
\(475\) | 17.2242 | − | 3.03709i | 0.790300 | − | 0.139351i | ||||
\(476\) | 11.6441 | + | 20.3223i | 0.533704 | + | 0.931473i | ||||
\(477\) | −2.15650 | + | 3.99267i | −0.0987395 | + | 0.182812i | ||||
\(478\) | 1.07573 | − | 1.86322i | 0.0492027 | − | 0.0852215i | ||||
\(479\) | −5.66597 | − | 32.1333i | −0.258885 | − | 1.46821i | −0.785901 | − | 0.618353i | \(-0.787800\pi\) |
0.527016 | − | 0.849856i | \(-0.323311\pi\) | |||||||
\(480\) | 15.9060 | − | 7.69368i | 0.726006 | − | 0.351167i | ||||
\(481\) | 2.06526 | + | 5.67424i | 0.0941676 | + | 0.258723i | ||||
\(482\) | 0.685664 | + | 0.575340i | 0.0312311 | + | 0.0262060i | ||||
\(483\) | 1.69710 | + | 6.06840i | 0.0772206 | + | 0.276122i | ||||
\(484\) | 1.09000 | + | 0.396726i | 0.0495453 | + | 0.0180330i | ||||
\(485\) | 6.22115 | − | 3.59178i | 0.282488 | − | 0.163094i | ||||
\(486\) | 4.26220 | + | 2.55446i | 0.193337 | + | 0.115873i | ||||
\(487\) | 3.41485 | − | 5.91469i | 0.154741 | − | 0.268020i | −0.778223 | − | 0.627988i | \(-0.783879\pi\) |
0.932965 | + | 0.359967i | \(0.117212\pi\) | |||||||
\(488\) | −2.12397 | − | 12.0456i | −0.0961476 | − | 0.545280i | ||||
\(489\) | 4.08635 | − | 16.1644i | 0.184791 | − | 0.730980i | ||||
\(490\) | 6.27290 | + | 1.14873i | 0.283381 | + | 0.0518942i | ||||
\(491\) | −2.93823 | − | 0.518089i | −0.132601 | − | 0.0233810i | 0.106954 | − | 0.994264i | \(-0.465890\pi\) |
−0.239554 | + | 0.970883i | \(0.577001\pi\) | |||||||
\(492\) | −17.3342 | − | 1.26902i | −0.781487 | − | 0.0572120i | ||||
\(493\) | −37.7982 | + | 6.66485i | −1.70235 | + | 0.300170i | ||||
\(494\) | 6.02109i | 0.270902i | ||||||||
\(495\) | 29.2040 | − | 0.828902i | 1.31262 | − | 0.0372564i | ||||
\(496\) | 6.51752 | + | 3.76289i | 0.292645 | + | 0.168959i | ||||
\(497\) | 18.8703 | + | 22.6397i | 0.846447 | + | 1.01553i | ||||
\(498\) | −2.31233 | − | 3.20460i | −0.103618 | − | 0.143602i | ||||
\(499\) | 23.4393 | + | 19.6679i | 1.04929 | + | 0.880457i | 0.993019 | − | 0.117958i | \(-0.0376349\pi\) |
0.0562697 | + | 0.998416i | \(0.482079\pi\) | |||||||
\(500\) | −1.72589 | + | 9.78804i | −0.0771844 | + | 0.437734i | ||||
\(501\) | 14.1603 | − | 10.2176i | 0.632637 | − | 0.456489i | ||||
\(502\) | −4.67921 | − | 5.57647i | −0.208843 | − | 0.248890i | ||||
\(503\) | −4.53519 | + | 7.85518i | −0.202214 | + | 0.350245i | −0.949242 | − | 0.314548i | \(-0.898147\pi\) |
0.747027 | + | 0.664793i | \(0.231480\pi\) | |||||||
\(504\) | −1.95584 | − | 9.66755i | −0.0871202 | − | 0.430627i | ||||
\(505\) | −13.3111 | − | 23.0555i | −0.592335 | − | 1.02595i | ||||
\(506\) | −0.510829 | + | 1.40349i | −0.0227091 | + | 0.0623928i | ||||
\(507\) | 2.23410 | + | 0.163556i | 0.0992197 | + | 0.00726378i | ||||
\(508\) | −24.6840 | − | 20.7123i | −1.09518 | − | 0.918962i | ||||
\(509\) | −1.29588 | + | 7.34928i | −0.0574387 | + | 0.325751i | −0.999965 | − | 0.00838120i | \(-0.997332\pi\) |
0.942526 | + | 0.334132i | \(0.108443\pi\) | |||||||
\(510\) | 2.00513 | + | 7.07988i | 0.0887884 | + | 0.313502i | ||||
\(511\) | −5.39753 | + | 14.6790i | −0.238773 | + | 0.649362i | ||||
\(512\) | 20.5900i | 0.909956i | ||||||||
\(513\) | −27.3674 | + | 8.59674i | −1.20830 | + | 0.379555i | ||||
\(514\) | 3.45607 | + | 1.99536i | 0.152441 | + | 0.0880117i | ||||
\(515\) | −20.7052 | − | 24.6755i | −0.912380 | − | 1.08733i | ||||
\(516\) | −7.32473 | + | 28.9745i | −0.322453 | + | 1.27553i | ||||
\(517\) | −6.71229 | + | 7.99940i | −0.295206 | + | 0.351813i | ||||
\(518\) | −1.46495 | − | 0.263287i | −0.0643662 | − | 0.0115682i | ||||
\(519\) | −21.3523 | − | 1.56318i | −0.937264 | − | 0.0686162i | ||||
\(520\) | 11.4188 | + | 4.15611i | 0.500748 | + | 0.182257i | ||||
\(521\) | 15.7598 | 0.690450 | 0.345225 | − | 0.938520i | \(-0.387803\pi\) | ||||
0.345225 | + | 0.938520i | \(0.387803\pi\) | |||||||
\(522\) | 7.78702 | + | 1.14630i | 0.340829 | + | 0.0501724i | ||||
\(523\) | − | 5.63241i | − | 0.246288i | −0.992389 | − | 0.123144i | \(-0.960702\pi\) | ||
0.992389 | − | 0.123144i | \(-0.0392977\pi\) | |||||||
\(524\) | −5.27292 | − | 29.9042i | −0.230348 | − | 1.30637i | ||||
\(525\) | −13.2240 | − | 5.99191i | −0.577141 | − | 0.261508i | ||||
\(526\) | 3.81019 | − | 1.38679i | 0.166132 | − | 0.0604671i | ||||
\(527\) | −6.63351 | + | 7.90550i | −0.288960 | + | 0.344369i | ||||
\(528\) | −8.22324 | + | 18.3086i | −0.357871 | + | 0.796778i | ||||
\(529\) | −19.8362 | − | 7.21979i | −0.862444 | − | 0.313904i | ||||
\(530\) | 1.37803 | 0.0598579 | ||||||||
\(531\) | 12.7832 | − | 16.1433i | 0.554744 | − | 0.700561i | ||||
\(532\) | 23.9675 | + | 13.9431i | 1.03912 | + | 0.604508i | ||||
\(533\) | −11.6253 | − | 13.8545i | −0.503548 | − | 0.600105i | ||||
\(534\) | −6.09286 | + | 2.94710i | −0.263664 | + | 0.127533i | ||||
\(535\) | 12.3003 | − | 14.6590i | 0.531789 | − | 0.633762i | ||||
\(536\) | 4.07653 | + | 11.2002i | 0.176079 | + | 0.483774i | ||||
\(537\) | −26.5045 | − | 6.70033i | −1.14375 | − | 0.289141i | ||||
\(538\) | 2.13561 | − | 5.86755i | 0.0920729 | − | 0.252968i | ||||
\(539\) | −20.7349 | + | 11.7899i | −0.893117 | + | 0.507829i | ||||
\(540\) | −1.25986 | + | 28.1640i | −0.0542156 | + | 1.21198i | ||||
\(541\) | −0.446747 | − | 0.773788i | −0.0192071 | − | 0.0332677i | 0.856262 | − | 0.516542i | \(-0.172781\pi\) |
−0.875469 | + | 0.483274i | \(0.839448\pi\) | |||||||
\(542\) | −4.55611 | + | 3.82303i | −0.195702 | + | 0.164213i | ||||
\(543\) | 22.0273 | + | 5.56850i | 0.945284 | + | 0.238967i | ||||
\(544\) | −16.3919 | − | 2.89033i | −0.702795 | − | 0.123922i | ||||
\(545\) | 8.24321 | − | 46.7496i | 0.353100 | − | 2.00253i | ||||
\(546\) | 2.82198 | − | 4.12513i | 0.120769 | − | 0.176539i | ||||
\(547\) | 4.87449 | − | 4.09018i | 0.208418 | − | 0.174884i | −0.532603 | − | 0.846365i | \(-0.678786\pi\) |
0.741021 | + | 0.671481i | \(0.234342\pi\) | |||||||
\(548\) | 21.4244 | + | 12.3694i | 0.915207 | + | 0.528395i | ||||
\(549\) | 28.0232 | + | 9.30805i | 1.19600 | + | 0.397258i | ||||
\(550\) | −1.72059 | − | 2.98015i | −0.0733663 | − | 0.127074i | ||||
\(551\) | −34.8076 | + | 29.2070i | −1.48285 | + | 1.24426i | ||||
\(552\) | −2.69979 | − | 1.21260i | −0.114911 | − | 0.0516118i | ||||
\(553\) | 5.34965 | − | 29.7659i | 0.227490 | − | 1.26577i | ||||
\(554\) | 0.291117 | + | 0.799836i | 0.0123684 | + | 0.0339818i | ||||
\(555\) | 7.96934 | + | 3.57941i | 0.338280 | + | 0.151937i | ||||
\(556\) | 2.65954 | − | 7.30703i | 0.112790 | − | 0.309887i | ||||
\(557\) | −14.9657 | + | 8.64047i | −0.634119 | + | 0.366109i | −0.782345 | − | 0.622845i | \(-0.785977\pi\) |
0.148227 | + | 0.988953i | \(0.452643\pi\) | |||||||
\(558\) | 1.80203 | − | 1.10974i | 0.0762860 | − | 0.0469789i | ||||
\(559\) | −26.9320 | + | 15.5492i | −1.13910 | + | 0.657662i | ||||
\(560\) | 19.7525 | − | 16.4638i | 0.834696 | − | 0.695722i | ||||
\(561\) | −22.7665 | − | 15.4646i | −0.961203 | − | 0.652917i | ||||
\(562\) | −5.19892 | + | 1.89225i | −0.219303 | + | 0.0798199i | ||||
\(563\) | −1.75211 | + | 0.637716i | −0.0738426 | + | 0.0268765i | −0.378677 | − | 0.925529i | \(-0.623621\pi\) |
0.304835 | + | 0.952405i | \(0.401399\pi\) | |||||||
\(564\) | −7.22560 | − | 7.02342i | −0.304253 | − | 0.295740i | ||||
\(565\) | −29.7935 | + | 5.25340i | −1.25342 | + | 0.221012i | ||||
\(566\) | −0.348424 | −0.0146454 | ||||||||
\(567\) | 22.7789 | + | 6.93687i | 0.956625 | + | 0.291321i | ||||
\(568\) | −13.8429 | −0.580837 | ||||||||
\(569\) | −25.3007 | + | 4.46119i | −1.06066 | + | 0.187023i | −0.676648 | − | 0.736306i | \(-0.736568\pi\) |
−0.384010 | + | 0.923329i | \(0.625457\pi\) | |||||||
\(570\) | 6.24655 | + | 6.07176i | 0.261639 | + | 0.254318i | ||||
\(571\) | 2.05601 | − | 0.748326i | 0.0860413 | − | 0.0313165i | −0.298641 | − | 0.954366i | \(-0.596533\pi\) |
0.384682 | + | 0.923049i | \(0.374311\pi\) | |||||||
\(572\) | −20.7981 | + | 7.56988i | −0.869611 | + | 0.316513i | ||||
\(573\) | 25.4645 | + | 17.2973i | 1.06379 | + | 0.722603i | ||||
\(574\) | 4.39280 | − | 0.759664i | 0.183352 | − | 0.0317078i | ||||
\(575\) | −3.77267 | + | 2.17815i | −0.157331 | + | 0.0908351i | ||||
\(576\) | −14.9494 | − | 8.07439i | −0.622890 | − | 0.336433i | ||||
\(577\) | 12.3597 | − | 7.13589i | 0.514542 | − | 0.297071i | −0.220157 | − | 0.975464i | \(-0.570657\pi\) |
0.734699 | + | 0.678394i | \(0.237324\pi\) | |||||||
\(578\) | 0.517395 | − | 1.42153i | 0.0215208 | − | 0.0591279i | ||||
\(579\) | 21.5259 | + | 9.66832i | 0.894588 | + | 0.401802i | ||||
\(580\) | 15.2732 | + | 41.9629i | 0.634187 | + | 1.74241i | ||||
\(581\) | −14.4662 | − | 12.2200i | −0.600161 | − | 0.506972i | ||||
\(582\) | 1.26592 | + | 0.568586i | 0.0524742 | + | 0.0235686i | ||||
\(583\) | −3.94835 | + | 3.31306i | −0.163524 | + | 0.137213i | ||||
\(584\) | −3.67293 | − | 6.36170i | −0.151987 | − | 0.263249i | ||||
\(585\) | −21.9286 | + | 19.4867i | −0.906634 | + | 0.805678i | ||||
\(586\) | −5.81318 | − | 3.35624i | −0.240140 | − | 0.138645i | ||||
\(587\) | −20.9075 | + | 17.5435i | −0.862947 | + | 0.724098i | −0.962601 | − | 0.270924i | \(-0.912671\pi\) |
0.0996541 | + | 0.995022i | \(0.468226\pi\) | |||||||
\(588\) | −9.88559 | − | 20.7857i | −0.407675 | − | 0.857188i | ||||
\(589\) | −2.12151 | + | 12.0317i | −0.0874154 | + | 0.495757i | ||||
\(590\) | −6.15822 | − | 1.08586i | −0.253530 | − | 0.0447042i | ||||
\(591\) | 15.4853 | + | 3.91466i | 0.636978 | + | 0.161028i | ||||
\(592\) | −4.59750 | + | 3.85776i | −0.188956 | + | 0.158553i | ||||
\(593\) | −9.81715 | − | 17.0038i | −0.403142 | − | 0.698262i | 0.590961 | − | 0.806700i | \(-0.298749\pi\) |
−0.994103 | + | 0.108438i | \(0.965415\pi\) | |||||||
\(594\) | 3.43107 | + | 4.48138i | 0.140779 | + | 0.183873i | ||||
\(595\) | 17.5299 | + | 30.5949i | 0.718657 | + | 1.25427i | ||||
\(596\) | 0.968498 | − | 2.66093i | 0.0396712 | − | 0.108996i | ||||
\(597\) | −0.450339 | − | 0.113845i | −0.0184311 | − | 0.00465938i | ||||
\(598\) | −0.512929 | − | 1.40926i | −0.0209752 | − | 0.0576290i | ||||
\(599\) | 12.4046 | − | 14.7832i | 0.506837 | − | 0.604025i | −0.450579 | − | 0.892737i | \(-0.648782\pi\) |
0.957416 | + | 0.288712i | \(0.0932269\pi\) | |||||||
\(600\) | 6.13858 | − | 2.96921i | 0.250606 | − | 0.121217i | ||||
\(601\) | −13.5997 | − | 16.2075i | −0.554743 | − | 0.661116i | 0.413683 | − | 0.910421i | \(-0.364242\pi\) |
−0.968425 | + | 0.249305i | \(0.919798\pi\) | |||||||
\(602\) | 0.0252407 | − | 7.66549i | 0.00102873 | − | 0.312422i | ||||
\(603\) | −28.4674 | − | 4.19060i | −1.15928 | − | 0.170654i | ||||
\(604\) | −9.22150 | −0.375217 | ||||||||
\(605\) | 1.64097 | + | 0.597265i | 0.0667150 | + | 0.0242823i | ||||
\(606\) | 2.10717 | − | 4.69149i | 0.0855979 | − | 0.190579i | ||||
\(607\) | −9.60228 | + | 11.4436i | −0.389745 | + | 0.464480i | −0.924865 | − | 0.380296i | \(-0.875822\pi\) |
0.535120 | + | 0.844776i | \(0.320266\pi\) | |||||||
\(608\) | −18.5167 | + | 6.73951i | −0.750949 | + | 0.273323i | ||||
\(609\) | 37.5360 | − | 3.69647i | 1.52103 | − | 0.149788i | ||||
\(610\) | −1.55713 | − | 8.83091i | −0.0630463 | − | 0.357553i | ||||
\(611\) | − | 10.4854i | − | 0.424194i | ||||||
\(612\) | 16.4870 | − | 20.8206i | 0.666446 | − | 0.841624i | ||||
\(613\) | 5.58886 | 0.225732 | 0.112866 | − | 0.993610i | \(-0.463997\pi\) | ||||
0.112866 | + | 0.993610i | \(0.463997\pi\) | |||||||
\(614\) | 6.83346 | + | 2.48717i | 0.275776 | + | 0.100374i | ||||
\(615\) | −26.0964 | − | 1.91049i | −1.05231 | − | 0.0770385i | ||||
\(616\) | 1.98173 | − | 11.0265i | 0.0798462 | − | 0.444271i | ||||
\(617\) | 4.78146 | − | 5.69832i | 0.192494 | − | 0.229406i | −0.661161 | − | 0.750244i | \(-0.729936\pi\) |
0.853655 | + | 0.520838i | \(0.174381\pi\) | |||||||
\(618\) | 1.52513 | − | 6.03297i | 0.0613498 | − | 0.242682i | ||||
\(619\) | 9.85761 | + | 11.7478i | 0.396211 | + | 0.472185i | 0.926861 | − | 0.375406i | \(-0.122497\pi\) |
−0.530650 | + | 0.847591i | \(0.678052\pi\) | |||||||
\(620\) | 10.3984 | + | 6.00351i | 0.417609 | + | 0.241107i | ||||
\(621\) | 5.67311 | − | 4.34350i | 0.227654 | − | 0.174298i | ||||
\(622\) | − | 7.17613i | − | 0.287737i | ||||||
\(623\) | −24.9137 | + | 20.7657i | −0.998148 | + | 0.831960i | ||||
\(624\) | −5.49164 | − | 19.3904i | −0.219841 | − | 0.776236i | ||||
\(625\) | −5.34899 | + | 30.3356i | −0.213960 | + | 1.21343i | ||||
\(626\) | 0.344731 | + | 0.289263i | 0.0137782 | + | 0.0115613i | ||||
\(627\) | −32.4954 | − | 2.37896i | −1.29774 | − | 0.0950063i | ||||
\(628\) | −14.6260 | + | 40.1847i | −0.583642 | + | 1.60354i | ||||
\(629\) | −4.11492 | − | 7.12725i | −0.164073 | − | 0.284182i | ||||
\(630\) | −1.43387 | − | 7.08749i | −0.0571268 | − | 0.282372i | ||||
\(631\) | −12.0123 | + | 20.8060i | −0.478203 | + | 0.828272i | −0.999688 | − | 0.0249886i | \(-0.992045\pi\) |
0.521485 | + | 0.853261i | \(0.325378\pi\) | |||||||
\(632\) | 9.13056 | + | 10.8814i | 0.363194 | + | 0.432838i | ||||
\(633\) | −18.3745 | + | 13.2584i | −0.730322 | + | 0.526975i | ||||
\(634\) | 0.379429 | − | 2.15185i | 0.0150690 | − | 0.0854608i | ||||
\(635\) | −37.1614 | − | 31.1821i | −1.47470 | − | 1.23742i | ||||
\(636\) | −2.91026 | − | 4.03327i | −0.115399 | − | 0.159929i | ||||
\(637\) | 8.33960 | − | 22.4517i | 0.330427 | − | 0.889569i | ||||
\(638\) | 7.74232 | + | 4.47003i | 0.306521 | + | 0.176970i | ||||
\(639\) | 15.8816 | − | 29.4041i | 0.628267 | − | 1.16321i | ||||
\(640\) | 25.5620i | 1.01043i | ||||||||
\(641\) | 44.3011 | − | 7.81149i | 1.74979 | − | 0.308535i | 0.795176 | − | 0.606379i | \(-0.207379\pi\) |
0.954615 | + | 0.297844i | \(0.0962676\pi\) | |||||||
\(642\) | 3.68689 | + | 0.269914i | 0.145510 | + | 0.0106526i | ||||
\(643\) | −5.46038 | − | 0.962813i | −0.215337 | − | 0.0379696i | 0.0649390 | − | 0.997889i | \(-0.479315\pi\) |
−0.280276 | + | 0.959920i | \(0.590426\pi\) | |||||||
\(644\) | −6.79747 | − | 1.22167i | −0.267858 | − | 0.0481405i | ||||
\(645\) | −11.0273 | + | 43.6206i | −0.434198 | + | 1.71756i | ||||
\(646\) | −1.42500 | − | 8.08158i | −0.0560659 | − | 0.317965i | ||||
\(647\) | 17.8595 | − | 30.9335i | 0.702127 | − | 1.21612i | −0.265591 | − | 0.964086i | \(-0.585567\pi\) |
0.967718 | − | 0.252035i | \(-0.0810997\pi\) | |||||||
\(648\) | −9.35290 | + | 6.13241i | −0.367417 | + | 0.240904i | ||||
\(649\) | 20.2552 | − | 11.6943i | 0.795086 | − | 0.459043i | ||||
\(650\) | 3.24695 | + | 1.18179i | 0.127356 | + | 0.0463538i | ||||
\(651\) | 7.09251 | − | 7.24877i | 0.277978 | − | 0.284102i | ||||
\(652\) | 13.9988 | + | 11.7464i | 0.548235 | + | 0.460023i | ||||
\(653\) | 9.10992 | + | 25.0293i | 0.356499 | + | 0.979472i | 0.980235 | + | 0.197837i | \(0.0633917\pi\) |
−0.623736 | + | 0.781635i | \(0.714386\pi\) | |||||||
\(654\) | 8.25557 | − | 3.99319i | 0.322818 | − | 0.156146i | ||||
\(655\) | −7.93829 | − | 45.0203i | −0.310175 | − | 1.75909i | ||||
\(656\) | 8.98777 | − | 15.5673i | 0.350914 | − | 0.607800i | ||||
\(657\) | 17.7269 | − | 0.503145i | 0.691591 | − | 0.0196295i | ||||
\(658\) | 2.23404 | + | 1.29965i | 0.0870919 | + | 0.0506656i | ||||
\(659\) | 27.7440 | − | 4.89202i | 1.08075 | − | 0.190566i | 0.395205 | − | 0.918593i | \(-0.370673\pi\) |
0.685549 | + | 0.728027i | \(0.259562\pi\) | |||||||
\(660\) | −13.1198 | + | 29.2104i | −0.510687 | + | 1.13701i | ||||
\(661\) | −32.7012 | − | 5.76611i | −1.27193 | − | 0.224276i | −0.503380 | − | 0.864065i | \(-0.667910\pi\) |
−0.768550 | + | 0.639790i | \(0.779021\pi\) | |||||||
\(662\) | 0.934275 | + | 0.164738i | 0.0363116 | + | 0.00640272i | ||||
\(663\) | 27.4932 | − | 2.79891i | 1.06775 | − | 0.108701i | ||||
\(664\) | 8.75922 | − | 1.54449i | 0.339924 | − | 0.0599377i | ||||
\(665\) | 36.0826 | + | 20.9910i | 1.39922 | + | 0.813997i | ||||
\(666\) | 0.340106 | + | 1.65309i | 0.0131788 | + | 0.0640558i | ||||
\(667\) | 5.65875 | − | 9.80124i | 0.219108 | − | 0.379505i | ||||
\(668\) | 3.32341 | + | 18.8480i | 0.128587 | + | 0.729250i | ||||
\(669\) | −1.86998 | + | 25.5431i | −0.0722978 | + | 0.987553i | ||||
\(670\) | 2.98859 | + | 8.21108i | 0.115459 | + | 0.317222i | ||||
\(671\) | 25.6927 | + | 21.5588i | 0.991857 | + | 0.832267i | ||||
\(672\) | 15.8447 | + | 4.06108i | 0.611223 | + | 0.156660i | ||||
\(673\) | 2.51415 | + | 0.915077i | 0.0969135 | + | 0.0352736i | 0.390022 | − | 0.920806i | \(-0.372467\pi\) |
−0.293108 | + | 0.956079i | \(0.594690\pi\) | |||||||
\(674\) | −6.95908 | + | 4.01783i | −0.268054 | + | 0.154761i | ||||
\(675\) | −0.735658 | + | 16.4456i | −0.0283155 | + | 0.632990i | ||||
\(676\) | −1.22760 | + | 2.12627i | −0.0472154 | + | 0.0817795i | ||||
\(677\) | 6.89486 | + | 39.1027i | 0.264991 | + | 1.50284i | 0.769060 | + | 0.639176i | \(0.220725\pi\) |
−0.504069 | + | 0.863663i | \(0.668164\pi\) | |||||||
\(678\) | −4.19084 | − | 4.07358i | −0.160948 | − | 0.156445i | ||||
\(679\) | 6.54523 | + | 1.17634i | 0.251183 | + | 0.0451436i | ||||
\(680\) | −16.3101 | − | 2.87591i | −0.625463 | − | 0.110286i | ||||
\(681\) | −6.91599 | − | 14.2982i | −0.265022 | − | 0.547908i | ||||
\(682\) | 2.36727 | − | 0.417413i | 0.0906474 | − | 0.0159836i | ||||
\(683\) | 19.6212i | 0.750783i | 0.926866 | + | 0.375392i | \(0.122492\pi\) | ||||
−0.926866 | + | 0.375392i | \(0.877508\pi\) | |||||||
\(684\) | 4.57895 | − | 31.1055i | 0.175081 | − | 1.18935i | ||||
\(685\) | 32.2541 | + | 18.6219i | 1.23237 | + | 0.711507i | ||||
\(686\) | 3.74992 | + | 4.55971i | 0.143173 | + | 0.174090i | ||||
\(687\) | 22.0457 | − | 2.24433i | 0.841096 | − | 0.0856267i | ||||
\(688\) | −23.6776 | − | 19.8679i | −0.902701 | − | 0.757456i | ||||
\(689\) | 0.898699 | − | 5.09677i | 0.0342377 | − | 0.194172i | ||||
\(690\) | −1.97927 | − | 0.888986i | −0.0753497 | − | 0.0338431i | ||||
\(691\) | −3.58492 | − | 4.27234i | −0.136377 | − | 0.162527i | 0.693534 | − | 0.720424i | \(-0.256053\pi\) |
−0.829910 | + | 0.557897i | \(0.811608\pi\) | |||||||
\(692\) | 11.7328 | − | 20.3218i | 0.446013 | − | 0.772517i | ||||
\(693\) | 21.1481 | + | 16.8598i | 0.803348 | + | 0.640452i | ||||
\(694\) | −0.366866 | − | 0.635430i | −0.0139260 | − | 0.0241206i | ||||
\(695\) | 4.00390 | − | 11.0006i | 0.151876 | − | 0.417277i | ||||
\(696\) | −9.95424 | + | 14.6543i | −0.377314 | + | 0.555470i | ||||
\(697\) | 18.8825 | + | 15.8443i | 0.715227 | + | 0.600146i | ||||
\(698\) | 0.387041 | − | 2.19502i | 0.0146497 | − | 0.0830826i | ||||
\(699\) | 20.6038 | − | 21.1969i | 0.779308 | − | 0.801741i | ||||
\(700\) | 12.2232 | − | 10.1881i | 0.461994 | − | 0.385073i | ||||
\(701\) | − | 46.9342i | − | 1.77268i | −0.463033 | − | 0.886341i | \(-0.653239\pi\) | ||
0.463033 | − | 0.886341i | \(-0.346761\pi\) | |||||||
\(702\) | −5.53158 | − | 1.23253i | −0.208776 | − | 0.0465189i | ||||
\(703\) | −8.43766 | − | 4.87149i | −0.318232 | − | 0.183732i | ||||
\(704\) | −12.4048 | − | 14.7834i | −0.467523 | − | 0.557172i | ||||
\(705\) | −10.8780 | − | 10.5736i | −0.409690 | − | 0.398227i | ||||
\(706\) | −4.52564 | + | 5.39345i | −0.170325 | + | 0.202985i | ||||
\(707\) | 4.35948 | − | 24.2565i | 0.163955 | − | 0.912260i | ||||
\(708\) | 9.82740 | + | 20.3173i | 0.369336 | + | 0.763570i | ||||
\(709\) | 16.3092 | + | 5.93606i | 0.612505 | + | 0.222934i | 0.629599 | − | 0.776920i | \(-0.283219\pi\) |
−0.0170941 | + | 0.999854i | \(0.505441\pi\) | |||||||
\(710\) | −10.1486 | −0.380869 | ||||||||
\(711\) | −33.5886 | + | 6.91051i | −1.25967 | + | 0.259164i | ||||
\(712\) | − | 15.2334i | − | 0.570896i | ||||||
\(713\) | −0.528416 | − | 2.99680i | −0.0197893 | − | 0.112231i | ||||
\(714\) | −2.81140 | + | 6.20467i | −0.105214 | + | 0.232204i | ||||
\(715\) | −31.3111 | + | 11.3963i | −1.17097 | + | 0.426198i | ||||
\(716\) | 19.2603 | − | 22.9536i | 0.719793 | − | 0.857816i | ||||
\(717\) | −11.6301 | + | 1.18399i | −0.434333 | + | 0.0442167i | ||||
\(718\) | 9.76700 | + | 3.55490i | 0.364501 | + | 0.132668i | ||||
\(719\) | 26.6722 | 0.994706 | 0.497353 | − | 0.867548i | \(-0.334305\pi\) | ||||
0.497353 | + | 0.867548i | \(0.334305\pi\) | |||||||
\(720\) | −25.6543 | − | 13.8563i | −0.956078 | − | 0.516393i | ||||
\(721\) | 0.0981882 | − | 29.8193i | 0.00365672 | − | 1.11053i | ||||
\(722\) | −2.35163 | − | 2.80257i | −0.0875187 | − | 0.104301i | ||||
\(723\) | 0.355100 | − | 4.85049i | 0.0132063 | − | 0.180392i | ||||
\(724\) | −16.0069 | + | 19.0762i | −0.594890 | + | 0.708962i | ||||
\(725\) | 8.91838 | + | 24.5031i | 0.331220 | + | 0.910021i | ||||
\(726\) | 0.0919281 | + | 0.324588i | 0.00341177 | + | 0.0120466i | ||||
\(727\) | 11.6117 | − | 31.9029i | 0.430654 | − | 1.18321i | −0.514758 | − | 0.857336i | \(-0.672118\pi\) |
0.945412 | − | 0.325878i | \(-0.105660\pi\) | |||||||
\(728\) | 5.59251 | + | 9.76059i | 0.207272 | + | 0.361752i | ||||
\(729\) | −2.29564 | − | 26.9022i | −0.0850239 | − | 0.996379i | ||||
\(730\) | −2.69270 | − | 4.66390i | −0.0996614 | − | 0.172619i | ||||
\(731\) | 32.4685 | − | 27.2443i | 1.20089 | − | 1.00767i | ||||
\(732\) | −22.5581 | + | 23.2074i | −0.833770 | + | 0.857771i | ||||
\(733\) | 15.0444 | + | 2.65274i | 0.555679 | + | 0.0979811i | 0.444433 | − | 0.895812i | \(-0.353405\pi\) |
0.111245 | + | 0.993793i | \(0.464516\pi\) | |||||||
\(734\) | 0.235454 | − | 1.33532i | 0.00869076 | − | 0.0492877i | ||||
\(735\) | −14.8826 | − | 31.2925i | −0.548953 | − | 1.15424i | ||||
\(736\) | 3.75977 | − | 3.15482i | 0.138587 | − | 0.116288i | ||||
\(737\) | −28.3040 | − | 16.3413i | −1.04259 | − | 0.601940i | ||||
\(738\) | −2.65064 | − | 4.30420i | −0.0975712 | − | 0.158440i | ||||
\(739\) | 15.5321 | + | 26.9024i | 0.571359 | + | 0.989622i | 0.996427 | + | 0.0844608i | \(0.0269168\pi\) |
−0.425068 | + | 0.905161i | \(0.639750\pi\) | |||||||
\(740\) | −7.33508 | + | 6.15486i | −0.269643 | + | 0.226257i | ||||
\(741\) | 26.5307 | − | 19.1436i | 0.974629 | − | 0.703259i | ||||
\(742\) | 0.974535 | + | 0.823216i | 0.0357763 | + | 0.0302212i | ||||
\(743\) | −10.8218 | − | 29.7328i | −0.397015 | − | 1.09079i | −0.963731 | − | 0.266876i | \(-0.914008\pi\) |
0.566716 | − | 0.823913i | \(-0.308214\pi\) | |||||||
\(744\) | 0.482427 | + | 4.73879i | 0.0176866 | + | 0.173733i | ||||
\(745\) | 1.45806 | − | 4.00598i | 0.0534191 | − | 0.146768i | ||||
\(746\) | −6.72767 | + | 3.88422i | −0.246317 | + | 0.142211i | ||||
\(747\) | −6.76853 | + | 20.3776i | −0.247648 | + | 0.745577i | ||||
\(748\) | 26.1239 | − | 15.0826i | 0.955183 | − | 0.551475i | ||||
\(749\) | 17.4557 | − | 3.01869i | 0.637819 | − | 0.110300i | ||||
\(750\) | −2.60220 | + | 1.25868i | −0.0950189 | + | 0.0459603i | ||||
\(751\) | 19.7899 | − | 7.20294i | 0.722145 | − | 0.262839i | 0.0453087 | − | 0.998973i | \(-0.485573\pi\) |
0.676836 | + | 0.736134i | \(0.263351\pi\) | |||||||
\(752\) | 9.79302 | − | 3.56437i | 0.357115 | − | 0.129979i | ||||
\(753\) | −9.69434 | + | 38.3479i | −0.353281 | + | 1.39748i | ||||
\(754\) | −8.84044 | + | 1.55881i | −0.321950 | + | 0.0567685i | ||||
\(755\) | −13.8828 | −0.505247 | ||||||||
\(756\) | −17.7157 | + | 19.1647i | −0.644313 | + | 0.697015i | ||||
\(757\) | −13.1053 | −0.476322 | −0.238161 | − | 0.971226i | \(-0.576545\pi\) | ||||
−0.238161 | + | 0.971226i | \(0.576545\pi\) | |||||||
\(758\) | 5.60410 | − | 0.988154i | 0.203550 | − | 0.0358914i | ||||
\(759\) | 7.80833 | − | 2.21143i | 0.283424 | − | 0.0802700i | ||||
\(760\) | −18.4243 | + | 6.70588i | −0.668318 | + | 0.243248i | ||||
\(761\) | −9.52482 | + | 3.46675i | −0.345274 | + | 0.125670i | −0.508836 | − | 0.860864i | \(-0.669924\pi\) |
0.163561 | + | 0.986533i | \(0.447702\pi\) | |||||||
\(762\) | 0.684248 | − | 9.34649i | 0.0247877 | − | 0.338588i | ||||
\(763\) | 33.7570 | − | 28.1366i | 1.22209 | − | 1.01861i | ||||
\(764\) | −29.2197 | + | 16.8700i | −1.05713 | + | 0.610335i | ||||
\(765\) | 24.8209 | − | 31.3451i | 0.897400 | − | 1.13328i | ||||
\(766\) | −7.55611 | + | 4.36252i | −0.273013 | + | 0.157624i | ||||
\(767\) | −8.03230 | + | 22.0685i | −0.290029 | + | 0.796849i | ||||
\(768\) | 11.9052 | − | 8.59034i | 0.429590 | − | 0.309977i | ||||
\(769\) | −7.15123 | − | 19.6478i | −0.257880 | − | 0.708519i | −0.999298 | − | 0.0374752i | \(-0.988068\pi\) |
0.741418 | − | 0.671044i | \(-0.234154\pi\) | |||||||
\(770\) | 1.45285 | − | 8.08377i | 0.0523570 | − | 0.291319i | ||||
\(771\) | −2.19617 | − | 21.5726i | −0.0790931 | − | 0.776917i | ||||
\(772\) | −19.8127 | + | 16.6249i | −0.713076 | + | 0.598342i | ||||
\(773\) | 10.5944 | + | 18.3500i | 0.381054 | + | 0.660005i | 0.991213 | − | 0.132274i | \(-0.0422279\pi\) |
−0.610159 | + | 0.792279i | \(0.708895\pi\) | |||||||
\(774\) | −8.08008 | + | 3.20334i | −0.290433 | + | 0.115142i | ||||
\(775\) | 6.07185 | + | 3.50558i | 0.218107 | + | 0.125924i | ||||
\(776\) | −2.39271 | + | 2.00772i | −0.0858932 | + | 0.0720730i | ||||
\(777\) | 3.49758 | + | 7.29210i | 0.125475 | + | 0.261603i | ||||
\(778\) | −0.902204 | + | 5.11665i | −0.0323456 | + | 0.183441i | ||||
\(779\) | 28.7381 | + | 5.06729i | 1.02965 | + | 0.181555i | ||||
\(780\) | −8.76164 | − | 30.9364i | −0.313717 | − | 1.10770i | ||||
\(781\) | 29.0777 | − | 24.3991i | 1.04048 | − | 0.873069i | ||||
\(782\) | 1.02199 | + | 1.77013i | 0.0365462 | + | 0.0632998i | ||||
\(783\) | −19.7073 | − | 37.9565i | −0.704282 | − | 1.35645i | ||||
\(784\) | 23.8041 | + | 0.156764i | 0.850145 | + | 0.00559873i | ||||
\(785\) | −22.0192 | + | 60.4974i | −0.785900 | + | 2.15924i | ||||
\(786\) | 6.15550 | − | 6.33269i | 0.219559 | − | 0.225880i | ||||
\(787\) | −7.46006 | − | 20.4964i | −0.265923 | − | 0.730616i | −0.998740 | − | 0.0501905i | \(-0.984017\pi\) |
0.732817 | − | 0.680426i | \(-0.238205\pi\) | |||||||
\(788\) | −11.2528 | + | 13.4106i | −0.400866 | + | 0.477733i | ||||
\(789\) | −18.2248 | − | 12.3796i | −0.648821 | − | 0.440725i | ||||
\(790\) | 6.69381 | + | 7.97737i | 0.238155 | + | 0.283822i | ||||
\(791\) | −24.2081 | − | 14.0830i | −0.860739 | − | 0.500734i | ||||
\(792\) | −12.4426 | + | 2.55994i | −0.442128 | + | 0.0909634i | ||||
\(793\) | −33.6774 | −1.19592 | ||||||||
\(794\) | −1.36485 | − | 0.496765i | −0.0484368 | − | 0.0176295i | ||||
\(795\) | −4.38135 | − | 6.07201i | −0.155391 | − | 0.215352i | ||||
\(796\) | 0.327253 | − | 0.390005i | 0.0115992 | − | 0.0138233i | ||||
\(797\) | −14.4170 | + | 5.24735i | −0.510676 | + | 0.185871i | −0.584490 | − | 0.811401i | \(-0.698705\pi\) |
0.0738137 | + | 0.997272i | \(0.476483\pi\) | |||||||
\(798\) | 0.790335 | + | 8.02550i | 0.0279776 | + | 0.284100i | ||||
\(799\) | 2.48156 | + | 14.0736i | 0.0877913 | + | 0.497889i | ||||
\(800\) | 11.3081i | 0.399803i | ||||||||
\(801\) | 32.3576 | + | 17.4769i | 1.14330 | + | 0.617514i | ||||
\(802\) | 12.0164 | 0.424313 | ||||||||
\(803\) | 18.9281 | + | 6.88926i | 0.667957 | + | 0.243117i | ||||
\(804\) | 17.7208 | − | 26.0881i | 0.624966 | − | 0.920055i | ||||
\(805\) | −10.2335 | − | 1.83920i | −0.360683 | − | 0.0648234i | ||||
\(806\) | −1.55148 | + | 1.84898i | −0.0546485 | + | 0.0651275i | ||||
\(807\) | −32.6442 | + | 9.24531i | −1.14913 | + | 0.325450i | ||||
\(808\) | 7.44058 | + | 8.86734i | 0.261759 | + | 0.311952i | ||||
\(809\) | 11.6471 | + | 6.72444i | 0.409489 | + | 0.236419i | 0.690570 | − | 0.723265i | \(-0.257360\pi\) |
−0.281081 | + | 0.959684i | \(0.590693\pi\) | |||||||
\(810\) | −6.85681 | + | 4.49580i | −0.240924 | + | 0.157966i | ||||
\(811\) | − | 3.07886i | − | 0.108113i | −0.998538 | − | 0.0540566i | \(-0.982785\pi\) | ||
0.998538 | − | 0.0540566i | \(-0.0172152\pi\) | |||||||
\(812\) | −14.2669 | + | 38.7999i | −0.500668 | + | 1.36161i | ||||
\(813\) | 31.3312 | + | 7.92051i | 1.09883 | + | 0.277784i | ||||
\(814\) | −0.332876 | + | 1.88783i | −0.0116673 | + | 0.0661685i | ||||
\(815\) | 21.0749 | + | 17.6840i | 0.738223 | + | 0.619442i | ||||
\(816\) | 11.9600 | + | 24.7263i | 0.418684 | + | 0.865593i | ||||
\(817\) | 17.1617 | − | 47.1513i | 0.600411 | − | 1.64962i | ||||
\(818\) | 0.159623 | + | 0.276474i | 0.00558107 | + | 0.00966670i | ||||
\(819\) | −27.1488 | + | 0.681111i | −0.948656 | + | 0.0237999i | ||||
\(820\) | 14.3395 | − | 24.8368i | 0.500759 | − | 0.867340i | ||||
\(821\) | −2.90182 | − | 3.45825i | −0.101274 | − | 0.120694i | 0.713027 | − | 0.701137i | \(-0.247324\pi\) |
−0.814301 | + | 0.580443i | \(0.802879\pi\) | |||||||
\(822\) | 0.728704 | + | 7.15793i | 0.0254165 | + | 0.249661i | ||||
\(823\) | 5.31672 | − | 30.1526i | 0.185329 | − | 1.05105i | −0.740202 | − | 0.672384i | \(-0.765270\pi\) |
0.925532 | − | 0.378670i | \(-0.123619\pi\) | |||||||
\(824\) | 10.7291 | + | 9.00275i | 0.373765 | + | 0.313626i | ||||
\(825\) | −7.66093 | + | 17.0566i | −0.266719 | + | 0.593835i | ||||
\(826\) | −3.70637 | − | 4.44674i | −0.128961 | − | 0.154722i | ||||
\(827\) | 12.8966 | + | 7.44587i | 0.448459 | + | 0.258918i | 0.707179 | − | 0.707034i | \(-0.249967\pi\) |
−0.258720 | + | 0.965952i | \(0.583301\pi\) | |||||||
\(828\) | 1.57812 | + | 7.67045i | 0.0548433 | + | 0.266566i | ||||
\(829\) | 25.2709i | 0.877695i | 0.898561 | + | 0.438848i | \(0.144613\pi\) | ||||
−0.898561 | + | 0.438848i | \(0.855387\pi\) | |||||||
\(830\) | 6.42157 | − | 1.13230i | 0.222896 | − | 0.0393026i | ||||
\(831\) | 2.59873 | − | 3.82576i | 0.0901489 | − | 0.132714i | ||||
\(832\) | 19.0834 | + | 3.36491i | 0.661597 | + | 0.116657i | ||||
\(833\) | −5.87990 | + | 32.1086i | −0.203727 | + | 1.11250i | ||||
\(834\) | 2.17595 | − | 0.616260i | 0.0753469 | − | 0.0213394i | ||||
\(835\) | 5.00334 | + | 28.3753i | 0.173148 | + | 0.981969i | ||||
\(836\) | 17.8557 | − | 30.9270i | 0.617552 | − | 1.06963i | ||||
\(837\) | −10.6192 | − | 4.41195i | −0.367055 | − | 0.152499i | ||||
\(838\) | −0.648204 | + | 0.374241i | −0.0223918 | + | 0.0129279i | ||||
\(839\) | 16.6975 | + | 6.07738i | 0.576460 | + | 0.209814i | 0.613764 | − | 0.789490i | \(-0.289655\pi\) |
−0.0373037 | + | 0.999304i | \(0.511877\pi\) | |||||||
\(840\) | 15.7656 | + | 4.04082i | 0.543966 | + | 0.139422i | ||||
\(841\) | −29.6792 | − | 24.9038i | −1.02342 | − | 0.858751i | ||||
\(842\) | −0.716040 | − | 1.96730i | −0.0246764 | − | 0.0677978i | ||||
\(843\) | 24.8674 | + | 16.8917i | 0.856479 | + | 0.581781i | ||||
\(844\) | −4.31247 | − | 24.4572i | −0.148441 | − | 0.841853i | ||||
\(845\) | −1.84813 | + | 3.20106i | −0.0635776 | + | 0.110120i | ||||
\(846\) | 0.426810 | − | 2.89939i | 0.0146740 | − | 0.0996829i | ||||
\(847\) | 0.803687 | + | 1.40267i | 0.0276150 | + | 0.0481964i | ||||
\(848\) | 5.06571 | − | 0.893222i | 0.173957 | − | 0.0306734i | ||||
\(849\) | 1.10779 | + | 1.53526i | 0.0380192 | + | 0.0526900i | ||||
\(850\) | −4.63779 | − | 0.817767i | −0.159075 | − | 0.0280492i | ||||
\(851\) | 2.38986 | + | 0.421397i | 0.0819235 | + | 0.0144453i | ||||
\(852\) | 21.4327 | + | 29.7031i | 0.734273 | + | 1.01761i | ||||
\(853\) | −13.7587 | + | 2.42603i | −0.471089 | + | 0.0830656i | −0.404152 | − | 0.914692i | \(-0.632433\pi\) |
−0.0669361 | + | 0.997757i | \(0.521322\pi\) | |||||||
\(854\) | 4.17426 | − | 7.17537i | 0.142840 | − | 0.245536i | ||||
\(855\) | 6.89353 | − | 46.8288i | 0.235754 | − | 1.60151i | ||||
\(856\) | −4.16021 | + | 7.20569i | −0.142193 | + | 0.246286i | ||||
\(857\) | 3.71073 | + | 21.0446i | 0.126756 | + | 0.718869i | 0.980249 | + | 0.197765i | \(0.0633684\pi\) |
−0.853493 | + | 0.521104i | \(0.825520\pi\) | |||||||
\(858\) | −5.32475 | − | 3.61694i | −0.181784 | − | 0.123480i | ||||
\(859\) | −4.24094 | − | 11.6519i | −0.144699 | − | 0.397557i | 0.846078 | − | 0.533059i | \(-0.178958\pi\) |
−0.990777 | + | 0.135502i | \(0.956735\pi\) | |||||||
\(860\) | −37.7765 | − | 31.6982i | −1.28817 | − | 1.08090i | ||||
\(861\) | −17.3139 | − | 16.9407i | −0.590056 | − | 0.577337i | ||||
\(862\) | 4.61598 | + | 1.68008i | 0.157221 | + | 0.0572237i | ||||
\(863\) | −9.03144 | + | 5.21430i | −0.307434 | + | 0.177497i | −0.645778 | − | 0.763526i | \(-0.723467\pi\) |
0.338344 | + | 0.941023i | \(0.390133\pi\) | |||||||
\(864\) | −2.40119 | − | 18.3908i | −0.0816900 | − | 0.625669i | ||||
\(865\) | 17.6635 | − | 30.5941i | 0.600577 | − | 1.04023i | ||||
\(866\) | −0.546439 | − | 3.09901i | −0.0185688 | − | 0.105309i | ||||
\(867\) | −7.90870 | + | 2.23986i | −0.268594 | + | 0.0760696i | ||||
\(868\) | 3.76726 | + | 10.4575i | 0.127869 | + | 0.354950i | ||||
\(869\) | −38.3583 | − | 6.76360i | −1.30122 | − | 0.229440i | ||||
\(870\) | −7.29766 | + | 10.7434i | −0.247414 | + | 0.364235i | ||||
\(871\) | 32.3184 | − | 5.69861i | 1.09507 | − | 0.193090i | ||||
\(872\) | 20.6406i | 0.698979i | ||||||||
\(873\) | −1.51955 | − | 7.38580i | −0.0514291 | − | 0.249972i | ||||
\(874\) | 2.09559 | + | 1.20989i | 0.0708843 | + | 0.0409250i | ||||
\(875\) | −10.6404 | + | 8.86882i | −0.359711 | + | 0.299821i | ||||
\(876\) | −7.96372 | + | 17.7308i | −0.269069 | + | 0.599067i | ||||
\(877\) | 31.4881 | + | 26.4217i | 1.06328 | + | 0.892197i | 0.994427 | − | 0.105430i | \(-0.0336218\pi\) |
0.0688523 | + | 0.997627i | \(0.478066\pi\) | |||||||
\(878\) | 1.95427 | − | 11.0832i | 0.0659534 | − | 0.374040i | ||||
\(879\) | 3.69400 | + | 36.2855i | 0.124595 | + | 1.22388i | ||||
\(880\) | −21.2876 | − | 25.3695i | −0.717604 | − | 0.855207i | ||||
\(881\) | −14.4200 | + | 24.9761i | −0.485821 | + | 0.841467i | −0.999867 | − | 0.0162958i | \(-0.994813\pi\) |
0.514046 | + | 0.857762i | \(0.328146\pi\) | |||||||
\(882\) | 3.21994 | − | 5.86880i | 0.108421 | − | 0.197613i | ||||
\(883\) | 24.3484 | + | 42.1726i | 0.819388 | + | 1.41922i | 0.906134 | + | 0.422991i | \(0.139020\pi\) |
−0.0867455 | + | 0.996231i | \(0.527647\pi\) | |||||||
\(884\) | −10.3595 | + | 28.4626i | −0.348429 | + | 0.957301i | ||||
\(885\) | 14.7950 | + | 30.5873i | 0.497328 | + | 1.02818i | ||||
\(886\) | −1.08672 | − | 0.911864i | −0.0365090 | − | 0.0306347i | ||||
\(887\) | −1.38081 | + | 7.83099i | −0.0463632 | + | 0.262939i | −0.999174 | − | 0.0406244i | \(-0.987065\pi\) |
0.952811 | + | 0.303563i | \(0.0981764\pi\) | |||||||
\(888\) | −3.68274 | − | 0.930994i | −0.123585 | − | 0.0312421i | ||||
\(889\) | −7.65256 | − | 44.2514i | −0.256659 | − | 1.48414i | ||||
\(890\) | − | 11.1679i | − | 0.374350i | ||||||
\(891\) | 8.83743 | − | 29.3665i | 0.296065 | − | 0.983815i | ||||
\(892\) | −24.3102 | − | 14.0355i | −0.813967 | − | 0.469944i | ||||
\(893\) | 10.8748 | + | 12.9601i | 0.363912 | + | 0.433693i | ||||
\(894\) | 0.792393 | − | 0.224417i | 0.0265016 | − | 0.00750563i | ||||
\(895\) | 28.9961 | − | 34.5562i | 0.969233 | − | 1.15509i | ||||
\(896\) | −15.2704 | + | 18.0773i | −0.510147 | + | 0.603920i | ||||
\(897\) | −4.57880 | + | 6.74076i | −0.152882 | + | 0.225067i | ||||
\(898\) | −1.71632 | − | 0.624689i | −0.0572743 | − | 0.0208461i | ||||
\(899\) | −18.2147 | −0.607495 | ||||||||
\(900\) | −15.8753 | − | 8.57451i | −0.529177 | − | 0.285817i | ||||
\(901\) | 7.05364i | 0.234991i | ||||||||
\(902\) | −0.997004 | − | 5.65429i | −0.0331966 | − | 0.188267i | ||||
\(903\) | −33.8567 | + | 24.2607i | −1.12668 | + | 0.807344i | ||||
\(904\) | 12.3609 | − | 4.49902i | 0.411119 | − | 0.149635i | ||||
\(905\) | −24.0981 | + | 28.7189i | −0.801046 | + | 0.954650i | ||||
\(906\) | −1.56931 | − | 2.17487i | −0.0521369 | − | 0.0722552i | ||||
\(907\) | −40.7073 | − | 14.8163i | −1.35167 | − | 0.491966i | −0.438198 | − | 0.898878i | \(-0.644383\pi\) |
−0.913467 | + | 0.406913i | \(0.866605\pi\) | |||||||
\(908\) | 17.4083 | 0.577716 | ||||||||
\(909\) | −27.3717 | + | 5.63144i | −0.907861 | + | 0.186783i | ||||
\(910\) | 4.09999 | + | 7.15570i | 0.135913 | + | 0.237209i | ||||
\(911\) | −32.8056 | − | 39.0962i | −1.08690 | − | 1.29531i | −0.952551 | − | 0.304379i | \(-0.901551\pi\) |
−0.134346 | − | 0.990934i | \(-0.542893\pi\) | |||||||
\(912\) | 26.8982 | + | 18.2712i | 0.890690 | + | 0.605019i | ||||
\(913\) | −15.6769 | + | 18.6830i | −0.518829 | + | 0.618316i | ||||
\(914\) | −4.45553 | − | 12.2415i | −0.147376 | − | 0.404912i | ||||
\(915\) | −33.9608 | + | 34.9384i | −1.12271 | + | 1.15503i | ||||
\(916\) | −8.30690 | + | 22.8230i | −0.274468 | + | 0.754094i | ||||
\(917\) | 21.2805 | − | 36.5802i | 0.702745 | − | 1.20799i | ||||
\(918\) | 7.71625 | + | 0.345170i | 0.254674 | + | 0.0113923i | ||||
\(919\) | 19.5951 | + | 33.9398i | 0.646384 | + | 1.11957i | 0.983980 | + | 0.178279i | \(0.0570529\pi\) |
−0.337596 | + | 0.941291i | \(0.609614\pi\) | |||||||
\(920\) | 3.74101 | − | 3.13908i | 0.123337 | − | 0.103492i | ||||
\(921\) | −10.7673 | − | 38.0180i | −0.354793 | − | 1.25274i | ||||
\(922\) | 8.51932 | + | 1.50219i | 0.280569 | + | 0.0494719i | ||||
\(923\) | −6.61849 | + | 37.5353i | −0.217850 | + | 1.23549i | ||||
\(924\) | −26.7281 | + | 12.8199i | −0.879289 | + | 0.421742i | ||||
\(925\) | −4.28312 | + | 3.59396i | −0.140828 | + | 0.118169i | ||||
\(926\) | 3.51952 | + | 2.03200i | 0.115659 | + | 0.0667756i | ||||
\(927\) | −31.4321 | + | 12.4612i | −1.03237 | + | 0.409280i | ||||
\(928\) | −14.6891 | − | 25.4422i | −0.482192 | − | 0.835181i | ||||
\(929\) | −23.4335 | + | 19.6630i | −0.768828 | + | 0.645123i | −0.940409 | − | 0.340047i | \(-0.889557\pi\) |
0.171581 | + | 0.985170i | \(0.445113\pi\) | |||||||
\(930\) | 0.353677 | + | 3.47411i | 0.0115975 | + | 0.113921i | ||||
\(931\) | 12.9777 | + | 36.3999i | 0.425326 | + | 1.19296i | ||||
\(932\) | 11.0813 | + | 30.4455i | 0.362979 | + | 0.997275i | ||||
\(933\) | −31.6201 | + | 22.8160i | −1.03520 | + | 0.746962i | ||||
\(934\) | −2.45788 | + | 6.75297i | −0.0804242 | + | 0.220964i | ||||
\(935\) | 39.3290 | − | 22.7066i | 1.28620 | − | 0.742586i | ||||
\(936\) | 7.91851 | − | 9.99992i | 0.258825 | − | 0.326858i | ||||
\(937\) | −4.39414 | + | 2.53696i | −0.143550 | + | 0.0828787i | −0.570055 | − | 0.821607i | \(-0.693078\pi\) |
0.426505 | + | 0.904485i | \(0.359745\pi\) | |||||||
\(938\) | −2.79166 | + | 7.59216i | −0.0911511 | + | 0.247893i | ||||
\(939\) | 0.178533 | − | 2.43868i | 0.00582621 | − | 0.0795832i | ||||
\(940\) | 15.6243 | − | 5.68677i | 0.509608 | − | 0.185482i | ||||
\(941\) | −13.6748 | + | 4.97722i | −0.445785 | + | 0.162253i | −0.555152 | − | 0.831749i | \(-0.687340\pi\) |
0.109367 | + | 0.994001i | \(0.465118\pi\) | |||||||
\(942\) | −11.9665 | + | 3.38909i | −0.389890 | + | 0.110423i | ||||
\(943\) | −7.15793 | + | 1.26214i | −0.233094 | + | 0.0411008i | ||||
\(944\) | −23.3417 | −0.759709 | ||||||||
\(945\) | −26.6707 | + | 28.8522i | −0.867597 | + | 0.938562i | ||||
\(946\) | −9.87254 | −0.320984 | ||||||||
\(947\) | 53.6444 | − | 9.45896i | 1.74321 | − | 0.307375i | 0.790772 | − | 0.612110i | \(-0.209679\pi\) |
0.952437 | + | 0.304735i | \(0.0985681\pi\) | |||||||
\(948\) | 9.21176 | − | 36.4390i | 0.299184 | − | 1.18348i | ||||
\(949\) | −19.0059 | + | 6.91758i | −0.616958 | + | 0.224554i | ||||
\(950\) | −5.23896 | + | 1.90683i | −0.169974 | + | 0.0618656i | ||||
\(951\) | −10.6880 | + | 5.16977i | −0.346583 | + | 0.167641i | ||||
\(952\) | −9.81635 | − | 11.7772i | −0.318150 | − | 0.381702i | ||||
\(953\) | 19.6055 | − | 11.3192i | 0.635084 | − | 0.366666i | −0.147634 | − | 0.989042i | \(-0.547166\pi\) |
0.782718 | + | 0.622376i | \(0.213833\pi\) | |||||||
\(954\) | 0.455970 | − | 1.37276i | 0.0147626 | − | 0.0444447i | ||||
\(955\) | −43.9897 | + | 25.3975i | −1.42347 | + | 0.821843i | ||||
\(956\) | 4.38225 | − | 12.0401i | 0.141732 | − | 0.389406i | ||||
\(957\) | −4.91988 | − | 48.3271i | −0.159037 | − | 1.56219i | ||||
\(958\) | 3.55736 | + | 9.77376i | 0.114933 | + | 0.315776i | ||||
\(959\) | 11.6854 | + | 32.4374i | 0.377343 | + | 1.04746i | ||||
\(960\) | 22.7349 | − | 16.4047i | 0.733765 | − | 0.529459i | ||||
\(961\) | 19.9956 | − | 16.7783i | 0.645021 | − | 0.541237i | ||||
\(962\) | −0.962419 | − | 1.66696i | −0.0310296 | − | 0.0537449i | ||||
\(963\) | −10.5329 | − | 17.1037i | −0.339417 | − | 0.551158i | ||||
\(964\) | 4.61638 | + | 2.66527i | 0.148683 | + | 0.0858424i | ||||
\(965\) | −29.8277 | + | 25.0284i | −0.960189 | + | 0.805694i | ||||
\(966\) | −0.868663 | − | 1.81107i | −0.0279488 | − | 0.0582703i | ||||
\(967\) | 5.14316 | − | 29.1683i | 0.165393 | − | 0.937990i | −0.783265 | − | 0.621687i | \(-0.786447\pi\) |
0.948658 | − | 0.316303i | \(-0.102441\pi\) | |||||||
\(968\) | −0.747761 | − | 0.131850i | −0.0240339 | − | 0.00423783i | ||||
\(969\) | −31.0791 | + | 31.9738i | −0.998405 | + | 1.02714i | ||||
\(970\) | −1.75415 | + | 1.47190i | −0.0563222 | + | 0.0472600i | ||||
\(971\) | 7.12855 | + | 12.3470i | 0.228766 | + | 0.396234i | 0.957443 | − | 0.288623i | \(-0.0931976\pi\) |
−0.728677 | + | 0.684858i | \(0.759864\pi\) | |||||||
\(972\) | 27.6393 | + | 10.5741i | 0.886531 | + | 0.339163i | ||||
\(973\) | 9.40313 | − | 5.38769i | 0.301450 | − | 0.172722i | ||||
\(974\) | −0.744603 | + | 2.04578i | −0.0238586 | + | 0.0655510i | ||||
\(975\) | −5.11611 | − | 18.0644i | −0.163847 | − | 0.578525i | ||||
\(976\) | −11.4482 | − | 31.4535i | −0.366447 | − | 1.00680i | ||||
\(977\) | 12.8962 | − | 15.3691i | 0.412587 | − | 0.491702i | −0.519228 | − | 0.854636i | \(-0.673780\pi\) |
0.931815 | + | 0.362934i | \(0.118225\pi\) | |||||||
\(978\) | −0.388050 | + | 5.30058i | −0.0124085 | + | 0.169494i | ||||
\(979\) | 26.8499 | + | 31.9985i | 0.858126 | + | 1.02268i | ||||
\(980\) | 37.9782 | + | 0.250110i | 1.21317 | + | 0.00798947i | ||||
\(981\) | −43.8431 | − | 23.6804i | −1.39980 | − | 0.756056i | ||||
\(982\) | 0.951057 | 0.0303494 | ||||||||
\(983\) | −15.7312 | − | 5.72570i | −0.501748 | − | 0.182621i | 0.0787320 | − | 0.996896i | \(-0.474913\pi\) |
−0.580480 | + | 0.814274i | \(0.697135\pi\) | |||||||
\(984\) | 11.3187 | − | 1.15229i | 0.360828 | − | 0.0367337i | ||||
\(985\) | −16.9410 | + | 20.1894i | −0.539784 | + | 0.643289i | ||||
\(986\) | 11.4968 | − | 4.18450i | 0.366133 | − | 0.133262i | ||||
\(987\) | −1.37633 | − | 13.9760i | −0.0438089 | − | 0.444860i | ||||
\(988\) | 6.22671 | + | 35.3134i | 0.198098 | + | 1.12347i | ||||
\(989\) | 12.4979i | 0.397411i | ||||||||
\(990\) | −9.12193 | + | 1.87674i | −0.289914 | + | 0.0596469i | ||||
\(991\) | 22.1202 | 0.702671 | 0.351335 | − | 0.936250i | \(-0.385728\pi\) | ||||
0.351335 | + | 0.936250i | \(0.385728\pi\) | |||||||
\(992\) | −7.42276 | − | 2.70166i | −0.235673 | − | 0.0857779i | ||||
\(993\) | −2.24457 | − | 4.64046i | −0.0712294 | − | 0.147261i | ||||
\(994\) | −7.17699 | − | 6.06260i | −0.227640 | − | 0.192294i | ||||
\(995\) | 0.492673 | − | 0.587145i | 0.0156188 | − | 0.0186138i | ||||
\(996\) | −16.8757 | − | 16.4035i | −0.534728 | − | 0.519766i | ||||
\(997\) | −28.6879 | − | 34.1890i | −0.908556 | − | 1.08277i | −0.996241 | − | 0.0866267i | \(-0.972391\pi\) |
0.0876848 | − | 0.996148i | \(-0.472053\pi\) | |||||||
\(998\) | −8.44683 | − | 4.87678i | −0.267380 | − | 0.154372i | ||||
\(999\) | 6.20264 | − | 6.75447i | 0.196243 | − | 0.213702i |
(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 | 189.2.bd.a.185.10 | yes | 132 | |
3.2 | odd | 2 | 567.2.bd.a.17.13 | 132 | |||
7.5 | odd | 6 | 189.2.ba.a.131.13 | yes | 132 | ||
21.5 | even | 6 | 567.2.ba.a.341.10 | 132 | |||
27.7 | even | 9 | 567.2.ba.a.143.10 | 132 | |||
27.20 | odd | 18 | 189.2.ba.a.101.13 | ✓ | 132 | ||
189.47 | even | 18 | inner | 189.2.bd.a.47.10 | yes | 132 | |
189.61 | odd | 18 | 567.2.bd.a.467.13 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.13 | ✓ | 132 | 27.20 | odd | 18 | ||
189.2.ba.a.131.13 | yes | 132 | 7.5 | odd | 6 | ||
189.2.bd.a.47.10 | yes | 132 | 189.47 | even | 18 | inner | |
189.2.bd.a.185.10 | yes | 132 | 1.1 | even | 1 | trivial | |
567.2.ba.a.143.10 | 132 | 27.7 | even | 9 | |||
567.2.ba.a.341.10 | 132 | 21.5 | even | 6 | |||
567.2.bd.a.17.13 | 132 | 3.2 | odd | 2 | |||
567.2.bd.a.467.13 | 132 | 189.61 | odd | 18 |