Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(20,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 36, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bv (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 20.12 | ||
Character | \(\chi\) | \(=\) | 429.20 |
Dual form | 429.2.bv.a.236.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53416 | − | 0.0804022i | −1.08482 | − | 0.0568529i | −0.498466 | − | 0.866909i | \(-0.666103\pi\) |
−0.586352 | + | 0.810056i | \(0.699436\pi\) | |||||||
\(3\) | 1.22300 | + | 1.22648i | 0.706101 | + | 0.708111i | ||||
\(4\) | 0.358152 | + | 0.0376433i | 0.179076 | + | 0.0188217i | ||||
\(5\) | 3.02311 | + | 1.54035i | 1.35198 | + | 0.688866i | 0.971747 | − | 0.236027i | \(-0.0758453\pi\) |
0.380229 | + | 0.924893i | \(0.375845\pi\) | |||||||
\(6\) | −1.77768 | − | 1.97996i | −0.725733 | − | 0.808316i | ||||
\(7\) | 2.44154 | + | 3.01505i | 0.922816 | + | 1.13958i | 0.989890 | + | 0.141835i | \(0.0453001\pi\) |
−0.0670745 | + | 0.997748i | \(0.521367\pi\) | |||||||
\(8\) | 2.48827 | + | 0.394104i | 0.879738 | + | 0.139337i | ||||
\(9\) | −0.00852784 | + | 2.99999i | −0.00284261 | + | 0.999996i | ||||
\(10\) | −4.51410 | − | 2.60622i | −1.42748 | − | 0.824158i | ||||
\(11\) | 2.15733 | − | 2.51911i | 0.650459 | − | 0.759541i | ||||
\(12\) | 0.391853 | + | 0.485306i | 0.113118 | + | 0.140096i | ||||
\(13\) | −3.59575 | + | 0.265624i | −0.997283 | + | 0.0736709i | ||||
\(14\) | −3.50331 | − | 4.82189i | −0.936299 | − | 1.28870i | ||||
\(15\) | 1.80805 | + | 5.59165i | 0.466838 | + | 1.44376i | ||||
\(16\) | −4.49025 | − | 0.954431i | −1.12256 | − | 0.238608i | ||||
\(17\) | 1.67992 | − | 1.86574i | 0.407440 | − | 0.452508i | −0.504145 | − | 0.863619i | \(-0.668192\pi\) |
0.911585 | + | 0.411111i | \(0.134859\pi\) | |||||||
\(18\) | 0.254289 | − | 4.60179i | 0.0599364 | − | 1.08465i | ||||
\(19\) | −1.96327 | − | 5.11450i | −0.450406 | − | 1.17335i | −0.951417 | − | 0.307906i | \(-0.900372\pi\) |
0.501011 | − | 0.865441i | \(-0.332962\pi\) | |||||||
\(20\) | 1.02475 | + | 0.665480i | 0.229141 | + | 0.148806i | ||||
\(21\) | −0.711903 | + | 6.68193i | −0.155350 | + | 1.45812i | ||||
\(22\) | −3.51224 | + | 3.69128i | −0.748812 | + | 0.786984i | ||||
\(23\) | 0.800366 | − | 1.38628i | 0.166888 | − | 0.289058i | −0.770436 | − | 0.637517i | \(-0.779962\pi\) |
0.937324 | + | 0.348459i | \(0.113295\pi\) | |||||||
\(24\) | 2.55980 | + | 3.53382i | 0.522518 | + | 0.721338i | ||||
\(25\) | 3.82758 | + | 5.26821i | 0.765516 | + | 1.05364i | ||||
\(26\) | 5.53783 | − | 0.118405i | 1.08606 | − | 0.0232211i | ||||
\(27\) | −3.68987 | + | 3.65853i | −0.710115 | + | 0.704085i | ||||
\(28\) | 0.760947 | + | 1.17176i | 0.143806 | + | 0.221441i | ||||
\(29\) | −2.40533 | − | 5.40245i | −0.446658 | − | 1.00321i | −0.986846 | − | 0.161666i | \(-0.948313\pi\) |
0.540188 | − | 0.841545i | \(-0.318353\pi\) | |||||||
\(30\) | −2.32427 | − | 8.72388i | −0.424352 | − | 1.59276i | ||||
\(31\) | 3.68069 | − | 1.87540i | 0.661071 | − | 0.336833i | −0.0910605 | − | 0.995845i | \(-0.529026\pi\) |
0.752132 | + | 0.659013i | \(0.229026\pi\) | |||||||
\(32\) | 1.94514 | + | 0.521199i | 0.343856 | + | 0.0921359i | ||||
\(33\) | 5.72807 | − | 0.434955i | 0.997129 | − | 0.0757159i | ||||
\(34\) | −2.72728 | + | 2.72728i | −0.467725 | + | 0.467725i | ||||
\(35\) | 2.73681 | + | 12.8757i | 0.462605 | + | 2.17638i | ||||
\(36\) | −0.115984 | + | 1.07413i | −0.0193306 | + | 0.179022i | ||||
\(37\) | −2.51732 | + | 6.55784i | −0.413844 | + | 1.07810i | 0.555309 | + | 0.831644i | \(0.312600\pi\) |
−0.969154 | + | 0.246458i | \(0.920733\pi\) | |||||||
\(38\) | 2.60077 | + | 8.00434i | 0.421900 | + | 1.29847i | ||||
\(39\) | −4.72340 | − | 4.08528i | −0.756349 | − | 0.654168i | ||||
\(40\) | 6.91526 | + | 5.02423i | 1.09340 | + | 0.794401i | ||||
\(41\) | −6.77669 | − | 5.48766i | −1.05834 | − | 0.857028i | −0.0682807 | − | 0.997666i | \(-0.521751\pi\) |
−0.990061 | + | 0.140638i | \(0.955085\pi\) | |||||||
\(42\) | 1.62942 | − | 10.1939i | 0.251425 | − | 1.57296i | ||||
\(43\) | −3.53712 | + | 2.04216i | −0.539406 | + | 0.311426i | −0.744838 | − | 0.667245i | \(-0.767473\pi\) |
0.205432 | + | 0.978671i | \(0.434140\pi\) | |||||||
\(44\) | 0.867480 | − | 0.821018i | 0.130778 | − | 0.123773i | ||||
\(45\) | −4.64681 | + | 9.05615i | −0.692706 | + | 1.35001i | ||||
\(46\) | −1.33935 | + | 2.06242i | −0.197477 | + | 0.304088i | ||||
\(47\) | −1.97109 | − | 0.312189i | −0.287513 | − | 0.0455375i | 0.0110124 | − | 0.999939i | \(-0.496495\pi\) |
−0.298525 | + | 0.954402i | \(0.596495\pi\) | |||||||
\(48\) | −4.32099 | − | 6.67449i | −0.623681 | − | 0.963379i | ||||
\(49\) | −1.67404 | + | 7.87572i | −0.239148 | + | 1.12510i | ||||
\(50\) | −5.44856 | − | 8.39004i | −0.770543 | − | 1.18653i | ||||
\(51\) | 4.34285 | − | 0.221410i | 0.608120 | − | 0.0310036i | ||||
\(52\) | −1.29783 | − | 0.0402222i | −0.179976 | − | 0.00557782i | ||||
\(53\) | 10.6807 | + | 3.47038i | 1.46711 | + | 0.476694i | 0.930234 | − | 0.366966i | \(-0.119603\pi\) |
0.536878 | + | 0.843660i | \(0.319603\pi\) | |||||||
\(54\) | 5.95502 | − | 5.31612i | 0.810375 | − | 0.723432i | ||||
\(55\) | 10.4022 | − | 4.29251i | 1.40263 | − | 0.578802i | ||||
\(56\) | 4.88698 | + | 8.46450i | 0.653050 | + | 1.13112i | ||||
\(57\) | 3.87177 | − | 8.66297i | 0.512828 | − | 1.14744i | ||||
\(58\) | 3.25580 | + | 8.48164i | 0.427507 | + | 1.11369i | ||||
\(59\) | −6.14572 | + | 4.97670i | −0.800104 | + | 0.647911i | −0.939586 | − | 0.342313i | \(-0.888790\pi\) |
0.139482 | + | 0.990225i | \(0.455456\pi\) | |||||||
\(60\) | 0.437071 | + | 2.07072i | 0.0564256 | + | 0.267329i | ||||
\(61\) | 8.02107 | − | 8.90830i | 1.02699 | − | 1.14059i | 0.0370224 | − | 0.999314i | \(-0.488213\pi\) |
0.989970 | − | 0.141276i | \(-0.0451206\pi\) | |||||||
\(62\) | −5.79757 | + | 2.58124i | −0.736292 | + | 0.327818i | ||||
\(63\) | −9.06594 | + | 7.29888i | −1.14220 | + | 0.919573i | ||||
\(64\) | 5.78950 | + | 1.88112i | 0.723688 | + | 0.235140i | ||||
\(65\) | −11.2795 | − | 4.73571i | −1.39905 | − | 0.587393i | ||||
\(66\) | −8.82278 | + | 0.206743i | −1.08601 | + | 0.0254483i | ||||
\(67\) | −5.08077 | + | 1.36139i | −0.620715 | + | 0.166320i | −0.555453 | − | 0.831548i | \(-0.687455\pi\) |
−0.0652624 | + | 0.997868i | \(0.520788\pi\) | |||||||
\(68\) | 0.671900 | − | 0.604982i | 0.0814798 | − | 0.0733648i | ||||
\(69\) | 2.67910 | − | 0.713782i | 0.322525 | − | 0.0859292i | ||||
\(70\) | −3.16348 | − | 19.9734i | −0.378108 | − | 2.38728i | ||||
\(71\) | −0.435630 | − | 8.31232i | −0.0516998 | − | 0.986490i | −0.894164 | − | 0.447739i | \(-0.852229\pi\) |
0.842465 | − | 0.538752i | \(-0.181104\pi\) | |||||||
\(72\) | −1.20353 | + | 7.46143i | −0.141837 | + | 0.879338i | ||||
\(73\) | −3.75049 | + | 0.594019i | −0.438962 | + | 0.0695247i | −0.372004 | − | 0.928231i | \(-0.621329\pi\) |
−0.0669576 | + | 0.997756i | \(0.521329\pi\) | |||||||
\(74\) | 4.38924 | − | 9.85840i | 0.510239 | − | 1.14602i | ||||
\(75\) | −1.78024 | + | 11.1375i | −0.205564 | + | 1.28605i | ||||
\(76\) | −0.510624 | − | 1.90568i | −0.0585726 | − | 0.218596i | ||||
\(77\) | 12.8625 | + | 0.353936i | 1.46581 | + | 0.0403347i | ||||
\(78\) | 6.91801 | + | 6.64726i | 0.783310 | + | 0.752654i | ||||
\(79\) | −1.94477 | + | 5.98538i | −0.218803 | + | 0.673408i | 0.780058 | + | 0.625707i | \(0.215189\pi\) |
−0.998862 | + | 0.0477009i | \(0.984811\pi\) | |||||||
\(80\) | −12.1043 | − | 9.80190i | −1.35331 | − | 1.09589i | ||||
\(81\) | −8.99985 | − | 0.0511669i | −0.999984 | − | 0.00568521i | ||||
\(82\) | 9.95534 | + | 8.96383i | 1.09938 | + | 0.989890i | ||||
\(83\) | 5.43789 | + | 2.77074i | 0.596886 | + | 0.304128i | 0.726209 | − | 0.687474i | \(-0.241281\pi\) |
−0.129323 | + | 0.991602i | \(0.541281\pi\) | |||||||
\(84\) | −0.506500 | + | 2.36635i | −0.0552637 | + | 0.258190i | ||||
\(85\) | 7.95247 | − | 3.05267i | 0.862567 | − | 0.331108i | ||||
\(86\) | 5.59072 | − | 2.84861i | 0.602863 | − | 0.307174i | ||||
\(87\) | 3.68430 | − | 9.55731i | 0.394999 | − | 1.02465i | ||||
\(88\) | 6.36081 | − | 5.41803i | 0.678065 | − | 0.577564i | ||||
\(89\) | 1.58195 | − | 0.423881i | 0.167686 | − | 0.0449313i | −0.173999 | − | 0.984746i | \(-0.555669\pi\) |
0.341685 | + | 0.939814i | \(0.389002\pi\) | |||||||
\(90\) | 7.85711 | − | 13.5200i | 0.828212 | − | 1.42513i | ||||
\(91\) | −9.58005 | − | 10.1929i | −1.00426 | − | 1.06850i | ||||
\(92\) | 0.338837 | − | 0.466370i | 0.0353262 | − | 0.0486224i | ||||
\(93\) | 6.80165 | + | 2.22068i | 0.705298 | + | 0.230274i | ||||
\(94\) | 2.99887 | + | 0.637430i | 0.309310 | + | 0.0657458i | ||||
\(95\) | 1.94294 | − | 18.4858i | 0.199341 | − | 1.89660i | ||||
\(96\) | 1.73967 | + | 3.02311i | 0.177555 | + | 0.308545i | ||||
\(97\) | −7.52653 | − | 4.88779i | −0.764203 | − | 0.496279i | 0.102727 | − | 0.994710i | \(-0.467243\pi\) |
−0.866930 | + | 0.498430i | \(0.833910\pi\) | |||||||
\(98\) | 3.20147 | − | 11.9480i | 0.323397 | − | 1.20694i | ||||
\(99\) | 7.53891 | + | 6.49344i | 0.757689 | + | 0.652615i | ||||
\(100\) | 1.17254 | + | 2.03090i | 0.117254 | + | 0.203090i | ||||
\(101\) | −5.51449 | − | 6.12446i | −0.548713 | − | 0.609407i | 0.403449 | − | 0.915002i | \(-0.367811\pi\) |
−0.952162 | + | 0.305595i | \(0.901145\pi\) | |||||||
\(102\) | −6.68044 | − | 0.00949498i | −0.661463 | − | 0.000940143i | ||||
\(103\) | −6.26746 | + | 8.62641i | −0.617551 | + | 0.849986i | −0.997172 | − | 0.0751563i | \(-0.976054\pi\) |
0.379621 | + | 0.925142i | \(0.376054\pi\) | |||||||
\(104\) | −9.05190 | − | 0.756155i | −0.887612 | − | 0.0741471i | ||||
\(105\) | −12.4447 | + | 19.1036i | −1.21448 | + | 1.86432i | ||||
\(106\) | −16.1070 | − | 6.18289i | −1.56445 | − | 0.600536i | ||||
\(107\) | −0.0515309 | + | 0.00541611i | −0.00498168 | + | 0.000523595i | −0.107019 | − | 0.994257i | \(-0.534131\pi\) |
0.102037 | + | 0.994781i | \(0.467464\pi\) | |||||||
\(108\) | −1.45925 | + | 1.17141i | −0.140417 | + | 0.112719i | ||||
\(109\) | −8.47093 | − | 8.47093i | −0.811368 | − | 0.811368i | 0.173471 | − | 0.984839i | \(-0.444502\pi\) |
−0.984839 | + | 0.173471i | \(0.944502\pi\) | |||||||
\(110\) | −16.3037 | + | 5.74907i | −1.55450 | + | 0.548152i | ||||
\(111\) | −11.1218 | + | 4.93280i | −1.05563 | + | 0.468201i | ||||
\(112\) | −8.08546 | − | 15.8686i | −0.764004 | − | 1.49944i | ||||
\(113\) | 4.90380 | − | 11.0141i | 0.461311 | − | 1.03612i | −0.521793 | − | 0.853072i | \(-0.674737\pi\) |
0.983104 | − | 0.183049i | \(-0.0585967\pi\) | |||||||
\(114\) | −6.63645 | + | 12.9791i | −0.621560 | + | 1.21561i | ||||
\(115\) | 4.55494 | − | 2.95802i | 0.424751 | − | 0.275836i | ||||
\(116\) | −0.658107 | − | 2.02545i | −0.0611037 | − | 0.188058i | ||||
\(117\) | −0.766205 | − | 10.7895i | −0.0708357 | − | 0.997488i | ||||
\(118\) | 9.82868 | − | 7.14095i | 0.904803 | − | 0.657378i | ||||
\(119\) | 9.72690 | + | 0.509765i | 0.891663 | + | 0.0467301i | ||||
\(120\) | 2.29524 | + | 14.6261i | 0.209526 | + | 1.33518i | ||||
\(121\) | −1.69187 | − | 10.8691i | −0.153807 | − | 0.988101i | ||||
\(122\) | −13.0219 | + | 13.0219i | −1.17895 | + | 1.17895i | ||||
\(123\) | −1.55739 | − | 15.0229i | −0.140425 | − | 1.35457i | ||||
\(124\) | 1.38884 | − | 0.533127i | 0.124722 | − | 0.0478763i | ||||
\(125\) | 0.802450 | + | 5.06647i | 0.0717733 | + | 0.453159i | ||||
\(126\) | 14.4955 | − | 10.4688i | 1.29136 | − | 0.932632i | ||||
\(127\) | 0.937468 | − | 4.41044i | 0.0831868 | − | 0.391363i | −0.916781 | − | 0.399390i | \(-0.869222\pi\) |
0.999968 | + | 0.00802720i | \(0.00255517\pi\) | |||||||
\(128\) | −12.4908 | − | 4.79477i | −1.10404 | − | 0.423802i | ||||
\(129\) | −6.83058 | − | 1.84066i | −0.601399 | − | 0.162061i | ||||
\(130\) | 16.9239 | + | 8.17226i | 1.48432 | + | 0.716754i | ||||
\(131\) | 10.6859i | 0.933633i | 0.884354 | + | 0.466817i | \(0.154599\pi\) | ||||
−0.884354 | + | 0.466817i | \(0.845401\pi\) | |||||||
\(132\) | 2.06790 | + | 0.0598437i | 0.179987 | + | 0.00520872i | ||||
\(133\) | 10.6271 | − | 18.4066i | 0.921484 | − | 1.59606i | ||||
\(134\) | 7.90420 | − | 1.68009i | 0.682819 | − | 0.145138i | ||||
\(135\) | −16.7903 | + | 5.37646i | −1.44508 | + | 0.462732i | ||||
\(136\) | 4.91539 | − | 3.98041i | 0.421492 | − | 0.341317i | ||||
\(137\) | 7.46275 | − | 0.391106i | 0.637585 | − | 0.0334144i | 0.269195 | − | 0.963086i | \(-0.413242\pi\) |
0.368390 | + | 0.929671i | \(0.379909\pi\) | |||||||
\(138\) | −4.16756 | + | 0.879654i | −0.354767 | + | 0.0748811i | ||||
\(139\) | −2.41922 | + | 23.0174i | −0.205196 | + | 1.95231i | 0.0876553 | + | 0.996151i | \(0.472063\pi\) |
−0.292851 | + | 0.956158i | \(0.594604\pi\) | |||||||
\(140\) | 0.495511 | + | 4.71447i | 0.0418783 | + | 0.398446i | ||||
\(141\) | −2.02775 | − | 2.79932i | −0.170767 | − | 0.235745i | ||||
\(142\) | 12.7875i | 1.07310i | ||||||||
\(143\) | −7.08808 | + | 9.63115i | −0.592735 | + | 0.805397i | ||||
\(144\) | 2.90157 | − | 13.4625i | 0.241798 | − | 1.12188i | ||||
\(145\) | 1.05011 | − | 20.0372i | 0.0872067 | − | 1.66400i | ||||
\(146\) | 5.80163 | − | 0.609776i | 0.480146 | − | 0.0504654i | ||||
\(147\) | −11.7068 | + | 7.57885i | −0.965560 | + | 0.625093i | ||||
\(148\) | −1.14844 | + | 2.25395i | −0.0944014 | + | 0.185273i | ||||
\(149\) | 0.396329 | + | 7.56241i | 0.0324686 | + | 0.619537i | 0.965605 | + | 0.260014i | \(0.0837272\pi\) |
−0.933136 | + | 0.359523i | \(0.882939\pi\) | |||||||
\(150\) | 3.62666 | − | 16.9436i | 0.296115 | − | 1.38344i | ||||
\(151\) | 1.37433 | − | 8.67717i | 0.111841 | − | 0.706138i | −0.866506 | − | 0.499167i | \(-0.833639\pi\) |
0.978347 | − | 0.206971i | \(-0.0663606\pi\) | |||||||
\(152\) | −2.86952 | − | 13.5000i | −0.232748 | − | 1.09500i | ||||
\(153\) | 5.58287 | + | 5.05565i | 0.451348 | + | 0.408725i | ||||
\(154\) | −19.7047 | − | 1.57717i | −1.58785 | − | 0.127092i | ||||
\(155\) | 14.0159 | 1.12578 | ||||||||
\(156\) | −1.53791 | − | 1.64096i | −0.123132 | − | 0.131382i | ||||
\(157\) | −4.28224 | + | 3.11123i | −0.341760 | + | 0.248303i | −0.745404 | − | 0.666613i | \(-0.767743\pi\) |
0.403644 | + | 0.914916i | \(0.367743\pi\) | |||||||
\(158\) | 3.46483 | − | 9.02619i | 0.275647 | − | 0.718085i | ||||
\(159\) | 8.80621 | + | 17.3441i | 0.698378 | + | 1.37547i | ||||
\(160\) | 5.07755 | + | 4.57184i | 0.401415 | + | 0.361436i | ||||
\(161\) | 6.13382 | − | 0.971502i | 0.483413 | − | 0.0765651i | ||||
\(162\) | 13.8031 | + | 0.802106i | 1.08448 | + | 0.0630194i | ||||
\(163\) | 3.75017 | − | 5.77476i | 0.293736 | − | 0.452314i | −0.660734 | − | 0.750620i | \(-0.729755\pi\) |
0.954470 | + | 0.298306i | \(0.0964216\pi\) | |||||||
\(164\) | −2.22052 | − | 2.22052i | −0.173393 | − | 0.173393i | ||||
\(165\) | 17.9866 | + | 7.50832i | 1.40025 | + | 0.584522i | ||||
\(166\) | −8.11984 | − | 4.68799i | −0.630222 | − | 0.363859i | ||||
\(167\) | −0.687974 | + | 13.1273i | −0.0532371 | + | 1.01582i | 0.833199 | + | 0.552973i | \(0.186507\pi\) |
−0.886436 | + | 0.462851i | \(0.846827\pi\) | |||||||
\(168\) | −4.40478 | + | 16.3459i | −0.339836 | + | 1.26111i | ||||
\(169\) | 12.8589 | − | 1.91024i | 0.989145 | − | 0.146941i | ||||
\(170\) | −12.4458 | + | 4.04390i | −0.954552 | + | 0.310153i | ||||
\(171\) | 15.3602 | − | 5.84618i | 1.17462 | − | 0.447068i | ||||
\(172\) | −1.34370 | + | 0.598255i | −0.102456 | + | 0.0456165i | ||||
\(173\) | 16.0872 | + | 7.16250i | 1.22309 | + | 0.544555i | 0.913704 | − | 0.406381i | \(-0.133210\pi\) |
0.309387 | + | 0.950936i | \(0.399876\pi\) | |||||||
\(174\) | −6.42075 | + | 14.3663i | −0.486756 | + | 1.08910i | ||||
\(175\) | −6.53874 | + | 24.4029i | −0.494282 | + | 1.84469i | ||||
\(176\) | −12.0913 | + | 9.25242i | −0.911413 | + | 0.697427i | ||||
\(177\) | −13.6201 | − | 1.45110i | −1.02375 | − | 0.109072i | ||||
\(178\) | −2.46105 | + | 0.523111i | −0.184463 | + | 0.0392089i | ||||
\(179\) | −0.192807 | − | 1.83444i | −0.0144111 | − | 0.137112i | 0.984951 | − | 0.172836i | \(-0.0552931\pi\) |
−0.999362 | + | 0.0357236i | \(0.988626\pi\) | |||||||
\(180\) | −2.00517 | + | 3.06856i | −0.149457 | + | 0.228717i | ||||
\(181\) | 15.0408 | − | 4.88706i | 1.11798 | − | 0.363252i | 0.308981 | − | 0.951068i | \(-0.400012\pi\) |
0.808995 | + | 0.587816i | \(0.200012\pi\) | |||||||
\(182\) | 13.8778 | + | 16.4078i | 1.02869 | + | 1.21622i | ||||
\(183\) | 20.7357 | − | 1.05716i | 1.53283 | − | 0.0781475i | ||||
\(184\) | 2.53787 | − | 3.13401i | 0.187094 | − | 0.231042i | ||||
\(185\) | −17.7115 | + | 15.9475i | −1.30217 | + | 1.17248i | ||||
\(186\) | −10.2563 | − | 3.95376i | −0.752028 | − | 0.289904i | ||||
\(187\) | −1.07587 | − | 8.25692i | −0.0786757 | − | 0.603806i | ||||
\(188\) | −0.694198 | − | 0.186010i | −0.0506296 | − | 0.0135662i | ||||
\(189\) | −20.0396 | − | 2.19268i | −1.45767 | − | 0.159494i | ||||
\(190\) | −4.46709 | + | 28.2041i | −0.324076 | + | 2.04614i | ||||
\(191\) | 3.52842 | + | 0.370852i | 0.255307 | + | 0.0268339i | 0.231318 | − | 0.972878i | \(-0.425696\pi\) |
0.0239899 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(192\) | 4.77341 | + | 9.40135i | 0.344491 | + | 0.678484i | ||||
\(193\) | −10.6014 | + | 6.88461i | −0.763103 | + | 0.495565i | −0.866562 | − | 0.499069i | \(-0.833676\pi\) |
0.103459 | + | 0.994634i | \(0.467009\pi\) | |||||||
\(194\) | 11.1539 | + | 8.10382i | 0.800807 | + | 0.581820i | ||||
\(195\) | −7.98659 | − | 19.6259i | −0.571932 | − | 1.40544i | ||||
\(196\) | −0.896028 | + | 2.75769i | −0.0640020 | + | 0.196978i | ||||
\(197\) | 1.88471 | + | 7.03385i | 0.134280 | + | 0.501141i | 1.00000 | 0.000611397i | \(0.000194614\pi\) | |
−0.865720 | + | 0.500529i | \(0.833139\pi\) | |||||||
\(198\) | −11.0438 | − | 10.5682i | −0.784852 | − | 0.751046i | ||||
\(199\) | −13.5359 | + | 7.81496i | −0.959535 | + | 0.553988i | −0.896030 | − | 0.443994i | \(-0.853561\pi\) |
−0.0635053 | + | 0.997982i | \(0.520228\pi\) | |||||||
\(200\) | 7.44784 | + | 14.6172i | 0.526642 | + | 1.03359i | ||||
\(201\) | −7.88352 | − | 4.56651i | −0.556061 | − | 0.322097i | ||||
\(202\) | 7.96772 | + | 9.83931i | 0.560607 | + | 0.692292i | ||||
\(203\) | 10.4160 | − | 20.4425i | 0.731058 | − | 1.43478i | ||||
\(204\) | 1.56374 | + | 0.0841808i | 0.109483 | + | 0.00589383i | ||||
\(205\) | −12.0338 | − | 27.0283i | −0.840474 | − | 1.88774i | ||||
\(206\) | 10.3089 | − | 12.7304i | 0.718255 | − | 0.886970i | ||||
\(207\) | 4.15198 | + | 2.41291i | 0.288583 | + | 0.167709i | ||||
\(208\) | 16.3993 | + | 2.23918i | 1.13709 | + | 0.155259i | ||||
\(209\) | −17.1194 | − | 6.08795i | −1.18418 | − | 0.421112i | ||||
\(210\) | 20.6281 | − | 28.3075i | 1.42348 | − | 1.95340i | ||||
\(211\) | 14.5865 | + | 16.1999i | 1.00417 | + | 1.11525i | 0.993330 | + | 0.115306i | \(0.0367850\pi\) |
0.0108434 | + | 0.999941i | \(0.496548\pi\) | |||||||
\(212\) | 3.69470 | + | 1.64499i | 0.253753 | + | 0.112978i | ||||
\(213\) | 9.66215 | − | 10.7003i | 0.662040 | − | 0.733171i | ||||
\(214\) | 0.0794923 | − | 0.00416601i | 0.00543398 | − | 0.000284783i | ||||
\(215\) | −13.8387 | + | 0.725257i | −0.943794 | + | 0.0494621i | ||||
\(216\) | −10.6232 | + | 7.64924i | −0.722820 | + | 0.520465i | ||||
\(217\) | 14.6410 | + | 6.51859i | 0.993896 | + | 0.442511i | ||||
\(218\) | 12.3147 | + | 13.6769i | 0.834058 | + | 0.926315i | ||||
\(219\) | −5.31541 | − | 3.87343i | −0.359182 | − | 0.261742i | ||||
\(220\) | 3.88714 | − | 1.14580i | 0.262071 | − | 0.0772500i | ||||
\(221\) | −5.54499 | + | 7.15497i | −0.372996 | + | 0.481295i | ||||
\(222\) | 17.4592 | − | 6.67352i | 1.17179 | − | 0.447897i | ||||
\(223\) | 3.37682 | − | 4.17003i | 0.226129 | − | 0.279246i | −0.651436 | − | 0.758703i | \(-0.725833\pi\) |
0.877565 | + | 0.479457i | \(0.159167\pi\) | |||||||
\(224\) | 3.17770 | + | 7.13723i | 0.212319 | + | 0.476877i | ||||
\(225\) | −15.8372 | + | 11.4378i | −1.05581 | + | 0.762517i | ||||
\(226\) | −8.40880 | + | 16.5032i | −0.559345 | + | 1.09778i | ||||
\(227\) | −8.91587 | − | 11.0102i | −0.591767 | − | 0.730771i | 0.390009 | − | 0.920811i | \(-0.372472\pi\) |
−0.981776 | + | 0.190040i | \(0.939138\pi\) | |||||||
\(228\) | 1.71279 | − | 2.95692i | 0.113432 | − | 0.195827i | ||||
\(229\) | 6.20095 | + | 12.1700i | 0.409770 | + | 0.804219i | 0.999995 | − | 0.00301920i | \(-0.000961043\pi\) |
−0.590225 | + | 0.807239i | \(0.700961\pi\) | |||||||
\(230\) | −7.22587 | + | 4.17186i | −0.476459 | + | 0.275084i | ||||
\(231\) | 15.2967 | + | 16.2085i | 1.00645 | + | 1.06644i | ||||
\(232\) | −3.85598 | − | 14.3907i | −0.253158 | − | 0.944798i | ||||
\(233\) | 4.73713 | − | 14.5794i | 0.310339 | − | 0.955127i | −0.667291 | − | 0.744797i | \(-0.732546\pi\) |
0.977631 | − | 0.210330i | \(-0.0674537\pi\) | |||||||
\(234\) | 0.307987 | + | 16.6144i | 0.0201338 | + | 1.08612i | ||||
\(235\) | −5.47793 | − | 3.97995i | −0.357341 | − | 0.259623i | ||||
\(236\) | −2.38844 | + | 1.55107i | −0.155474 | + | 0.100966i | ||||
\(237\) | −9.71943 | + | 4.93491i | −0.631345 | + | 0.320557i | ||||
\(238\) | −14.8817 | − | 1.56413i | −0.964636 | − | 0.101387i | ||||
\(239\) | −1.32902 | + | 8.39112i | −0.0859674 | + | 0.542777i | 0.906688 | + | 0.421802i | \(0.138602\pi\) |
−0.992656 | + | 0.120975i | \(0.961398\pi\) | |||||||
\(240\) | −2.78176 | − | 26.8335i | −0.179562 | − | 1.73210i | ||||
\(241\) | 7.79150 | + | 2.08773i | 0.501894 | + | 0.134482i | 0.500879 | − | 0.865517i | \(-0.333010\pi\) |
0.00101534 | + | 0.999999i | \(0.499677\pi\) | |||||||
\(242\) | 1.72171 | + | 16.8110i | 0.110676 | + | 1.08065i | ||||
\(243\) | −10.9441 | − | 11.1008i | −0.702064 | − | 0.712114i | ||||
\(244\) | 3.20810 | − | 2.88859i | 0.205378 | − | 0.184923i | ||||
\(245\) | −17.1922 | + | 21.2305i | −1.09837 | + | 1.35637i | ||||
\(246\) | 1.18141 | + | 23.1729i | 0.0753242 | + | 1.47745i | ||||
\(247\) | 8.41798 | + | 17.8690i | 0.535623 | + | 1.13698i | ||||
\(248\) | 9.89767 | − | 3.21595i | 0.628502 | − | 0.204213i | ||||
\(249\) | 3.25228 | + | 10.0581i | 0.206105 | + | 0.637407i | ||||
\(250\) | −0.823735 | − | 7.83732i | −0.0520976 | − | 0.495676i | ||||
\(251\) | 5.37925 | − | 1.14339i | 0.339535 | − | 0.0721704i | −0.0349887 | − | 0.999388i | \(-0.511140\pi\) |
0.374524 | + | 0.927217i | \(0.377806\pi\) | |||||||
\(252\) | −3.52174 | + | 2.27284i | −0.221849 | + | 0.143175i | ||||
\(253\) | −1.76553 | − | 5.00687i | −0.110998 | − | 0.314779i | ||||
\(254\) | −1.79284 | + | 6.69096i | −0.112493 | + | 0.419828i | ||||
\(255\) | 13.4699 | + | 6.02016i | 0.843521 | + | 0.376997i | ||||
\(256\) | 7.65514 | + | 3.40829i | 0.478446 | + | 0.213018i | ||||
\(257\) | 13.2695 | − | 5.90798i | 0.827731 | − | 0.368530i | 0.0512623 | − | 0.998685i | \(-0.483676\pi\) |
0.776469 | + | 0.630156i | \(0.217009\pi\) | |||||||
\(258\) | 10.3312 | + | 3.37307i | 0.643195 | + | 0.209998i | ||||
\(259\) | −25.9184 | + | 8.42138i | −1.61049 | + | 0.523279i | ||||
\(260\) | −3.86152 | − | 2.12070i | −0.239481 | − | 0.131521i | ||||
\(261\) | 16.2278 | − | 7.16988i | 1.00448 | − | 0.443804i | ||||
\(262\) | 0.859171 | − | 16.3940i | 0.0530798 | − | 1.01282i | ||||
\(263\) | −6.66349 | − | 3.84717i | −0.410888 | − | 0.237226i | 0.280283 | − | 0.959917i | \(-0.409572\pi\) |
−0.691171 | + | 0.722691i | \(0.742905\pi\) | |||||||
\(264\) | 14.4244 | + | 1.17517i | 0.887762 | + | 0.0723266i | ||||
\(265\) | 26.9434 | + | 26.9434i | 1.65512 | + | 1.65512i | ||||
\(266\) | −17.7836 | + | 27.3844i | −1.09038 | + | 1.67904i | ||||
\(267\) | 2.45461 | + | 1.42182i | 0.150220 | + | 0.0870142i | ||||
\(268\) | −1.87094 | + | 0.296328i | −0.114286 | + | 0.0181011i | ||||
\(269\) | −18.0359 | − | 16.2396i | −1.09967 | − | 0.990144i | −0.0996786 | − | 0.995020i | \(-0.531781\pi\) |
−0.999988 | + | 0.00487536i | \(0.998448\pi\) | |||||||
\(270\) | 26.1914 | − | 6.89839i | 1.59396 | − | 0.419823i | ||||
\(271\) | 5.80382 | − | 15.1195i | 0.352557 | − | 0.918442i | −0.636549 | − | 0.771236i | \(-0.719639\pi\) |
0.989106 | − | 0.147206i | \(-0.0470279\pi\) | |||||||
\(272\) | −9.32397 | + | 6.77426i | −0.565349 | + | 0.410750i | ||||
\(273\) | 0.784944 | − | 24.2157i | 0.0475070 | − | 1.46560i | ||||
\(274\) | −11.4805 | −0.693564 | ||||||||
\(275\) | 21.5286 | + | 1.72315i | 1.29822 | + | 0.103910i | ||||
\(276\) | 0.986394 | − | 0.154793i | 0.0593739 | − | 0.00931742i | ||||
\(277\) | 4.48743 | + | 21.1117i | 0.269623 | + | 1.26848i | 0.879468 | + | 0.475957i | \(0.157898\pi\) |
−0.609845 | + | 0.792521i | \(0.708768\pi\) | |||||||
\(278\) | 5.56214 | − | 35.1179i | 0.333595 | − | 2.10623i | ||||
\(279\) | 5.59480 | + | 11.0580i | 0.334952 | + | 0.662026i | ||||
\(280\) | 1.73558 | + | 33.1167i | 0.103720 | + | 1.97910i | ||||
\(281\) | −3.99766 | + | 7.84584i | −0.238480 | + | 0.468044i | −0.978965 | − | 0.204030i | \(-0.934596\pi\) |
0.740484 | + | 0.672073i | \(0.234596\pi\) | |||||||
\(282\) | 2.88583 | + | 4.45765i | 0.171849 | + | 0.265449i | ||||
\(283\) | −24.7968 | + | 2.60625i | −1.47402 | + | 0.154925i | −0.807192 | − | 0.590289i | \(-0.799014\pi\) |
−0.666825 | + | 0.745214i | \(0.732347\pi\) | |||||||
\(284\) | 0.156881 | − | 2.99347i | 0.00930920 | − | 0.177630i | ||||
\(285\) | 25.0488 | − | 20.2252i | 1.48376 | − | 1.19804i | ||||
\(286\) | 11.6486 | − | 14.2059i | 0.688799 | − | 0.840011i | ||||
\(287\) | − | 33.8304i | − | 1.99695i | ||||||
\(288\) | −1.58018 | + | 5.83096i | −0.0931130 | + | 0.343593i | ||||
\(289\) | 1.11813 | + | 10.6383i | 0.0657723 | + | 0.625782i | ||||
\(290\) | −3.22208 | + | 30.6560i | −0.189207 | + | 1.80018i | ||||
\(291\) | −3.21018 | − | 15.2089i | −0.188184 | − | 0.891564i | ||||
\(292\) | −1.36561 | + | 0.0715685i | −0.0799162 | + | 0.00418823i | ||||
\(293\) | 6.88907 | − | 5.57866i | 0.402464 | − | 0.325909i | −0.406625 | − | 0.913595i | \(-0.633294\pi\) |
0.809089 | + | 0.587686i | \(0.199961\pi\) | |||||||
\(294\) | 18.5695 | − | 10.6859i | 1.08300 | − | 0.623217i | ||||
\(295\) | −26.2450 | + | 5.57855i | −1.52804 | + | 0.324796i | ||||
\(296\) | −8.84824 | + | 15.3256i | −0.514294 | + | 0.890783i | ||||
\(297\) | 1.25601 | + | 17.1879i | 0.0728812 | + | 0.997341i | ||||
\(298\) | − | 11.6339i | − | 0.673931i | ||||||
\(299\) | −2.50969 | + | 5.19730i | −0.145139 | + | 0.300568i | ||||
\(300\) | −1.05685 | + | 3.92191i | −0.0610172 | + | 0.226432i | ||||
\(301\) | −14.7932 | − | 5.67859i | −0.852668 | − | 0.327308i | ||||
\(302\) | −2.80611 | + | 13.2017i | −0.161473 | + | 0.759673i | ||||
\(303\) | 0.767320 | − | 14.2537i | 0.0440814 | − | 0.818852i | ||||
\(304\) | 3.93414 | + | 24.8392i | 0.225638 | + | 1.42462i | ||||
\(305\) | 37.9705 | − | 14.5755i | 2.17418 | − | 0.834590i | ||||
\(306\) | −8.15856 | − | 8.20507i | −0.466394 | − | 0.469053i | ||||
\(307\) | 10.4132 | − | 10.4132i | 0.594314 | − | 0.594314i | −0.344480 | − | 0.938794i | \(-0.611945\pi\) |
0.938794 | + | 0.344480i | \(0.111945\pi\) | |||||||
\(308\) | 4.59340 | + | 0.610949i | 0.261733 | + | 0.0348121i | ||||
\(309\) | −18.2453 | + | 2.86319i | −1.03794 | + | 0.162881i | ||||
\(310\) | −21.5027 | − | 1.12691i | −1.22127 | − | 0.0640041i | ||||
\(311\) | 7.99344 | − | 5.80758i | 0.453267 | − | 0.329317i | −0.337618 | − | 0.941283i | \(-0.609621\pi\) |
0.790884 | + | 0.611966i | \(0.209621\pi\) | |||||||
\(312\) | −10.1431 | − | 12.0268i | −0.574239 | − | 0.680883i | ||||
\(313\) | −3.32136 | − | 10.2221i | −0.187734 | − | 0.577787i | 0.812250 | − | 0.583309i | \(-0.198242\pi\) |
−0.999985 | + | 0.00552194i | \(0.998242\pi\) | |||||||
\(314\) | 6.81980 | − | 4.42883i | 0.384864 | − | 0.249933i | ||||
\(315\) | −38.6502 | + | 8.10058i | −2.17769 | + | 0.456416i | ||||
\(316\) | −0.921833 | + | 2.07047i | −0.0518572 | + | 0.116473i | ||||
\(317\) | −10.3076 | − | 20.2299i | −0.578934 | − | 1.13622i | −0.975865 | − | 0.218374i | \(-0.929925\pi\) |
0.396931 | − | 0.917848i | \(-0.370075\pi\) | |||||||
\(318\) | −12.1157 | − | 27.3167i | −0.679413 | − | 1.53184i | ||||
\(319\) | −18.7985 | − | 5.59557i | −1.05251 | − | 0.313292i | ||||
\(320\) | 14.6047 | + | 14.6047i | 0.816428 | + | 0.816428i | ||||
\(321\) | −0.0696652 | − | 0.0565779i | −0.00388833 | − | 0.00315787i | ||||
\(322\) | −9.48840 | + | 0.997271i | −0.528768 | + | 0.0555757i | ||||
\(323\) | −12.8405 | − | 4.92899i | −0.714463 | − | 0.274257i | ||||
\(324\) | −3.22139 | − | 0.357110i | −0.178966 | − | 0.0198395i | ||||
\(325\) | −15.1624 | − | 17.9265i | −0.841058 | − | 0.994382i | ||||
\(326\) | −6.21768 | + | 8.55791i | −0.344366 | + | 0.473979i | ||||
\(327\) | 0.0294914 | − | 20.7494i | 0.00163088 | − | 1.14745i | ||||
\(328\) | −14.6996 | − | 16.3255i | −0.811647 | − | 0.901426i | ||||
\(329\) | −3.87122 | − | 6.70515i | −0.213427 | − | 0.369667i | ||||
\(330\) | −26.9907 | − | 12.9652i | −1.48579 | − | 0.713709i | ||||
\(331\) | −6.59130 | + | 24.5991i | −0.362291 | + | 1.35209i | 0.508766 | + | 0.860905i | \(0.330102\pi\) |
−0.871057 | + | 0.491182i | \(0.836565\pi\) | |||||||
\(332\) | 1.84329 | + | 1.19705i | 0.101164 | + | 0.0656965i | ||||
\(333\) | −19.6520 | − | 7.60785i | −1.07692 | − | 0.416907i | ||||
\(334\) | 2.11093 | − | 20.0842i | 0.115505 | − | 1.09896i | ||||
\(335\) | −17.4567 | − | 3.71055i | −0.953764 | − | 0.202729i | ||||
\(336\) | 9.57406 | − | 29.3240i | 0.522308 | − | 1.59976i | ||||
\(337\) | 9.22883 | − | 12.7024i | 0.502726 | − | 0.691943i | −0.479945 | − | 0.877298i | \(-0.659343\pi\) |
0.982672 | + | 0.185355i | \(0.0593435\pi\) | |||||||
\(338\) | −19.8812 | + | 1.89674i | −1.08140 | + | 0.103169i | ||||
\(339\) | 19.5060 | − | 7.45586i | 1.05942 | − | 0.404947i | ||||
\(340\) | 2.96311 | − | 0.793963i | 0.160697 | − | 0.0430587i | ||||
\(341\) | 3.21609 | − | 13.3179i | 0.174161 | − | 0.721207i | ||||
\(342\) | −24.0351 | + | 7.73401i | −1.29967 | + | 0.418207i | ||||
\(343\) | −3.63538 | + | 1.85232i | −0.196292 | + | 0.100016i | ||||
\(344\) | −9.60614 | + | 3.68745i | −0.517929 | + | 0.198814i | ||||
\(345\) | 9.19867 | + | 1.96891i | 0.495240 | + | 0.106002i | ||||
\(346\) | −24.1046 | − | 12.2819i | −1.29587 | − | 0.660279i | ||||
\(347\) | 3.43718 | + | 3.09485i | 0.184518 | + | 0.166140i | 0.756213 | − | 0.654326i | \(-0.227047\pi\) |
−0.571695 | + | 0.820466i | \(0.693714\pi\) | |||||||
\(348\) | 1.67931 | − | 3.28429i | 0.0900205 | − | 0.176056i | ||||
\(349\) | 15.0880 | + | 12.2180i | 0.807643 | + | 0.654016i | 0.941511 | − | 0.336983i | \(-0.109406\pi\) |
−0.133868 | + | 0.990999i | \(0.542740\pi\) | |||||||
\(350\) | 11.9935 | − | 36.9123i | 0.641082 | − | 1.97305i | ||||
\(351\) | 12.2961 | − | 14.1353i | 0.656315 | − | 0.754487i | ||||
\(352\) | 5.50927 | − | 3.77564i | 0.293645 | − | 0.201242i | ||||
\(353\) | −8.00814 | − | 29.8868i | −0.426230 | − | 1.59071i | −0.761222 | − | 0.648492i | \(-0.775400\pi\) |
0.334991 | − | 0.942221i | \(-0.391267\pi\) | |||||||
\(354\) | 20.7788 | + | 3.32131i | 1.10438 | + | 0.176526i | ||||
\(355\) | 11.4869 | − | 25.8001i | 0.609663 | − | 1.36932i | ||||
\(356\) | 0.582534 | − | 0.0922643i | 0.0308742 | − | 0.00489000i | ||||
\(357\) | 11.2708 | + | 12.5533i | 0.596514 | + | 0.664393i | ||||
\(358\) | 0.148305 | + | 2.82983i | 0.00783817 | + | 0.149561i | ||||
\(359\) | 2.10115 | + | 13.2661i | 0.110894 | + | 0.700159i | 0.979012 | + | 0.203801i | \(0.0653295\pi\) |
−0.868118 | + | 0.496358i | \(0.834670\pi\) | |||||||
\(360\) | −15.1316 | + | 20.7029i | −0.797506 | + | 1.09114i | ||||
\(361\) | −8.18392 | + | 7.36884i | −0.430733 | + | 0.387833i | ||||
\(362\) | −23.4680 | + | 6.28824i | −1.23345 | + | 0.330502i | ||||
\(363\) | 11.2616 | − | 15.3680i | 0.591082 | − | 0.806611i | ||||
\(364\) | −3.04743 | − | 4.01122i | −0.159729 | − | 0.210245i | ||||
\(365\) | −12.2531 | − | 3.98128i | −0.641358 | − | 0.208390i | ||||
\(366\) | −31.8969 | − | 0.0453354i | −1.66728 | − | 0.00236972i | ||||
\(367\) | 32.9296 | − | 14.6612i | 1.71891 | − | 0.765309i | 0.721578 | − | 0.692334i | \(-0.243417\pi\) |
0.997334 | − | 0.0729751i | \(-0.0232494\pi\) | |||||||
\(368\) | −4.91695 | + | 5.46082i | −0.256314 | + | 0.284665i | ||||
\(369\) | 16.5207 | − | 20.2832i | 0.860033 | − | 1.05590i | ||||
\(370\) | 28.4546 | − | 23.0420i | 1.47928 | − | 1.19790i | ||||
\(371\) | 15.6141 | + | 40.6761i | 0.810643 | + | 2.11180i | ||||
\(372\) | 2.35243 | + | 1.05138i | 0.121968 | + | 0.0545115i | ||||
\(373\) | 8.45782 | + | 14.6494i | 0.437930 | + | 0.758516i | 0.997530 | − | 0.0702465i | \(-0.0223786\pi\) |
−0.559600 | + | 0.828763i | \(0.689045\pi\) | |||||||
\(374\) | 0.986693 | + | 12.7540i | 0.0510207 | + | 0.659493i | ||||
\(375\) | −5.23255 | + | 7.18050i | −0.270208 | + | 0.370799i | ||||
\(376\) | −4.78157 | − | 1.55363i | −0.246591 | − | 0.0801221i | ||||
\(377\) | 10.0840 | + | 18.7870i | 0.519352 | + | 0.967578i | ||||
\(378\) | 30.5678 | + | 4.97516i | 1.57224 | + | 0.255895i | ||||
\(379\) | −0.668399 | − | 1.02924i | −0.0343334 | − | 0.0528688i | 0.821087 | − | 0.570803i | \(-0.193368\pi\) |
−0.855421 | + | 0.517934i | \(0.826701\pi\) | |||||||
\(380\) | 1.39174 | − | 6.54760i | 0.0713945 | − | 0.335885i | ||||
\(381\) | 6.55586 | − | 4.24419i | 0.335867 | − | 0.217436i | ||||
\(382\) | −5.38336 | − | 0.852640i | −0.275437 | − | 0.0436249i | ||||
\(383\) | −8.30072 | + | 12.7820i | −0.424147 | + | 0.653129i | −0.984553 | − | 0.175089i | \(-0.943979\pi\) |
0.560406 | + | 0.828218i | \(0.310645\pi\) | |||||||
\(384\) | −9.39559 | − | 21.1838i | −0.479467 | − | 1.08103i | ||||
\(385\) | 38.3394 | + | 20.8827i | 1.95396 | + | 1.06428i | ||||
\(386\) | 16.8178 | − | 9.70975i | 0.856002 | − | 0.494213i | ||||
\(387\) | −6.09628 | − | 10.6287i | −0.309891 | − | 0.540289i | ||||
\(388\) | −2.51165 | − | 2.03390i | −0.127510 | − | 0.103255i | ||||
\(389\) | −24.3868 | − | 17.7180i | −1.23646 | − | 0.898339i | −0.239100 | − | 0.970995i | \(-0.576853\pi\) |
−0.997357 | + | 0.0726558i | \(0.976853\pi\) | |||||||
\(390\) | 10.6748 | + | 30.7515i | 0.540539 | + | 1.55716i | ||||
\(391\) | −1.24188 | − | 3.82211i | −0.0628045 | − | 0.193292i | ||||
\(392\) | −7.26931 | + | 18.9372i | −0.367155 | + | 0.956473i | ||||
\(393\) | −13.1061 | + | 13.0689i | −0.661116 | + | 0.659239i | ||||
\(394\) | −2.32592 | − | 10.9426i | −0.117178 | − | 0.551281i | ||||
\(395\) | −15.0988 | + | 15.0988i | −0.759705 | + | 0.759705i | ||||
\(396\) | 2.45565 | + | 2.60943i | 0.123401 | + | 0.131129i | ||||
\(397\) | −21.6934 | − | 5.81273i | −1.08876 | − | 0.291733i | −0.330581 | − | 0.943778i | \(-0.607245\pi\) |
−0.758180 | + | 0.652045i | \(0.773911\pi\) | |||||||
\(398\) | 21.3947 | − | 10.9011i | 1.07242 | − | 0.546424i | ||||
\(399\) | 35.5724 | − | 9.47742i | 1.78085 | − | 0.474465i | ||||
\(400\) | −12.1586 | − | 27.3087i | −0.607931 | − | 1.36544i | ||||
\(401\) | 2.57960 | + | 3.97223i | 0.128819 | + | 0.198364i | 0.897195 | − | 0.441635i | \(-0.145601\pi\) |
−0.768376 | + | 0.639999i | \(0.778935\pi\) | |||||||
\(402\) | 11.7275 | + | 7.63962i | 0.584913 | + | 0.381030i | ||||
\(403\) | −12.7367 | + | 7.72117i | −0.634460 | + | 0.384619i | ||||
\(404\) | −1.74448 | − | 2.40108i | −0.0867913 | − | 0.119458i | ||||
\(405\) | −27.1287 | − | 14.0176i | −1.34804 | − | 0.696541i | ||||
\(406\) | −17.6234 | + | 30.5247i | −0.874636 | + | 1.51491i | ||||
\(407\) | 11.0893 | + | 20.4888i | 0.549674 | + | 1.01559i | ||||
\(408\) | 10.8935 | + | 1.16060i | 0.539306 | + | 0.0574585i | ||||
\(409\) | −33.3426 | − | 21.6530i | −1.64869 | − | 1.07067i | −0.924585 | − | 0.380977i | \(-0.875588\pi\) |
−0.724102 | − | 0.689693i | \(-0.757746\pi\) | |||||||
\(410\) | 16.2886 | + | 42.4334i | 0.804439 | + | 2.09563i | ||||
\(411\) | 9.60665 | + | 8.67462i | 0.473861 | + | 0.427887i | ||||
\(412\) | −2.56943 | + | 2.85364i | −0.126587 | + | 0.140589i | ||||
\(413\) | −30.0100 | − | 6.37883i | −1.47670 | − | 0.313882i | ||||
\(414\) | −6.17582 | − | 4.03563i | −0.303525 | − | 0.198340i | ||||
\(415\) | 12.1714 | + | 16.7525i | 0.597471 | + | 0.822348i | ||||
\(416\) | −7.13269 | − | 1.35743i | −0.349709 | − | 0.0665534i | ||||
\(417\) | −31.1892 | + | 25.1832i | −1.52734 | + | 1.23323i | ||||
\(418\) | 25.7745 | + | 10.7164i | 1.26067 | + | 0.524154i | ||||
\(419\) | 19.8035 | + | 11.4335i | 0.967462 | + | 0.558565i | 0.898462 | − | 0.439052i | \(-0.144686\pi\) |
0.0690007 | + | 0.997617i | \(0.478019\pi\) | |||||||
\(420\) | −5.17621 | + | 6.37355i | −0.252573 | + | 0.310997i | ||||
\(421\) | 4.05331 | + | 0.641981i | 0.197546 | + | 0.0312883i | 0.254423 | − | 0.967093i | \(-0.418114\pi\) |
−0.0568771 | + | 0.998381i | \(0.518114\pi\) | |||||||
\(422\) | −21.0755 | − | 26.0261i | −1.02594 | − | 1.26693i | ||||
\(423\) | 0.953374 | − | 5.91057i | 0.0463546 | − | 0.287382i | ||||
\(424\) | 25.2089 | + | 12.8446i | 1.22425 | + | 0.623788i | ||||
\(425\) | 16.2591 | + | 1.70890i | 0.788684 | + | 0.0828940i | ||||
\(426\) | −15.6837 | + | 15.6391i | −0.759875 | + | 0.757718i | ||||
\(427\) | 46.4428 | + | 2.43396i | 2.24752 | + | 0.117788i | ||||
\(428\) | −0.0186598 | −0.000901955 | ||||||||
\(429\) | −20.4812 | + | 3.08550i | −0.988842 | + | 0.148970i | ||||
\(430\) | 21.2892 | 1.02666 | ||||||||
\(431\) | −20.7164 | − | 1.08570i | −0.997874 | − | 0.0522964i | −0.453601 | − | 0.891205i | \(-0.649861\pi\) |
−0.544273 | + | 0.838908i | \(0.683194\pi\) | |||||||
\(432\) | 20.0602 | − | 12.9060i | 0.965148 | − | 0.620940i | ||||
\(433\) | 29.8197 | + | 3.13418i | 1.43305 | + | 0.150619i | 0.789012 | − | 0.614378i | \(-0.210593\pi\) |
0.644033 | + | 0.764997i | \(0.277260\pi\) | |||||||
\(434\) | −21.9376 | − | 11.1778i | −1.05304 | − | 0.536550i | ||||
\(435\) | 25.8597 | − | 23.2177i | 1.23988 | − | 1.11320i | ||||
\(436\) | −2.71501 | − | 3.35276i | −0.130025 | − | 0.160568i | ||||
\(437\) | −8.66144 | − | 1.37184i | −0.414333 | − | 0.0656239i | ||||
\(438\) | 7.84329 | + | 6.36985i | 0.374767 | + | 0.304363i | ||||
\(439\) | 3.70519 | + | 2.13919i | 0.176839 | + | 0.102098i | 0.585807 | − | 0.810451i | \(-0.300778\pi\) |
−0.408968 | + | 0.912549i | \(0.634111\pi\) | |||||||
\(440\) | 27.5751 | − | 6.58142i | 1.31459 | − | 0.313757i | ||||
\(441\) | −23.6128 | − | 5.08925i | −1.12442 | − | 0.242345i | ||||
\(442\) | 9.08220 | − | 10.5311i | 0.431996 | − | 0.500912i | ||||
\(443\) | −3.89259 | − | 5.35769i | −0.184942 | − | 0.254551i | 0.706471 | − | 0.707742i | \(-0.250286\pi\) |
−0.891414 | + | 0.453190i | \(0.850286\pi\) | |||||||
\(444\) | −4.16898 | + | 1.34803i | −0.197851 | + | 0.0639749i | ||||
\(445\) | 5.43532 | + | 1.15531i | 0.257659 | + | 0.0547671i | ||||
\(446\) | −5.51588 | + | 6.12601i | −0.261185 | + | 0.290075i | ||||
\(447\) | −8.79047 | + | 9.73494i | −0.415775 | + | 0.460447i | ||||
\(448\) | 8.46362 | + | 22.0485i | 0.399869 | + | 1.04169i | ||||
\(449\) | −4.73125 | − | 3.07251i | −0.223282 | − | 0.145001i | 0.428151 | − | 0.903707i | \(-0.359165\pi\) |
−0.651433 | + | 0.758706i | \(0.725832\pi\) | |||||||
\(450\) | 25.2165 | − | 16.2741i | 1.18872 | − | 0.767167i | ||||
\(451\) | −28.4436 | + | 5.23259i | −1.33936 | + | 0.246393i | ||||
\(452\) | 2.17092 | − | 3.76014i | 0.102111 | − | 0.176862i | ||||
\(453\) | 12.3232 | − | 8.92661i | 0.578996 | − | 0.419409i | ||||
\(454\) | 12.7932 | + | 17.6083i | 0.600413 | + | 0.826398i | ||||
\(455\) | −13.2610 | − | 45.5707i | −0.621684 | − | 2.13639i | ||||
\(456\) | 13.0481 | − | 20.0300i | 0.611034 | − | 0.937989i | ||||
\(457\) | 8.87651 | + | 13.6686i | 0.415226 | + | 0.639391i | 0.982960 | − | 0.183820i | \(-0.0588465\pi\) |
−0.567734 | + | 0.823212i | \(0.692180\pi\) | |||||||
\(458\) | −8.53478 | − | 19.1694i | −0.398804 | − | 0.895728i | ||||
\(459\) | 0.627192 | + | 13.0304i | 0.0292748 | + | 0.608206i | ||||
\(460\) | 1.74271 | − | 0.887957i | 0.0812545 | − | 0.0414012i | ||||
\(461\) | 4.57204 | + | 1.22508i | 0.212941 | + | 0.0570574i | 0.363713 | − | 0.931511i | \(-0.381509\pi\) |
−0.150771 | + | 0.988569i | \(0.548176\pi\) | |||||||
\(462\) | −22.1645 | − | 26.0964i | −1.03119 | − | 1.21411i | ||||
\(463\) | 0.435884 | − | 0.435884i | 0.0202572 | − | 0.0202572i | −0.696906 | − | 0.717163i | \(-0.745440\pi\) |
0.717163 | + | 0.696906i | \(0.245440\pi\) | |||||||
\(464\) | 5.64424 | + | 26.5541i | 0.262027 | + | 1.23274i | ||||
\(465\) | 17.1415 | + | 17.1903i | 0.794918 | + | 0.797180i | ||||
\(466\) | −8.43974 | + | 21.9863i | −0.390964 | + | 1.01850i | ||||
\(467\) | 9.40923 | + | 28.9586i | 0.435407 | + | 1.34005i | 0.892669 | + | 0.450713i | \(0.148830\pi\) |
−0.457262 | + | 0.889332i | \(0.651170\pi\) | |||||||
\(468\) | 0.131734 | − | 3.89312i | 0.00608940 | − | 0.179960i | ||||
\(469\) | −16.5096 | − | 11.9949i | −0.762342 | − | 0.553874i | ||||
\(470\) | 8.08404 | + | 6.54633i | 0.372889 | + | 0.301960i | ||||
\(471\) | −9.05306 | − | 1.44706i | −0.417143 | − | 0.0666768i | ||||
\(472\) | −17.2536 | + | 9.96135i | −0.794159 | + | 0.458508i | ||||
\(473\) | −2.48630 | + | 13.3160i | −0.114320 | + | 0.612271i | ||||
\(474\) | 15.3080 | − | 6.78950i | 0.703119 | − | 0.311852i | ||||
\(475\) | 19.4297 | − | 29.9191i | 0.891495 | − | 1.37278i | ||||
\(476\) | 3.46452 | + | 0.548726i | 0.158796 | + | 0.0251508i | ||||
\(477\) | −10.5022 | + | 32.0125i | −0.480862 | + | 1.46575i | ||||
\(478\) | 2.71360 | − | 12.7665i | 0.124117 | − | 0.583926i | ||||
\(479\) | 13.7379 | + | 21.1545i | 0.627700 | + | 0.966574i | 0.999271 | + | 0.0381691i | \(0.0121525\pi\) |
−0.371571 | + | 0.928405i | \(0.621181\pi\) | |||||||
\(480\) | 0.602559 | + | 11.8189i | 0.0275030 | + | 0.539457i | ||||
\(481\) | 7.30973 | − | 24.2490i | 0.333295 | − | 1.10566i | ||||
\(482\) | −11.7856 | − | 3.82937i | −0.536818 | − | 0.174423i | ||||
\(483\) | 8.69321 | + | 6.33489i | 0.395555 | + | 0.288247i | ||||
\(484\) | −0.196798 | − | 3.95649i | −0.00894538 | − | 0.179840i | ||||
\(485\) | −15.2246 | − | 26.3698i | −0.691314 | − | 1.19739i | ||||
\(486\) | 15.8975 | + | 17.9103i | 0.721126 | + | 0.812429i | ||||
\(487\) | 4.73745 | + | 12.3415i | 0.214675 | + | 0.559246i | 0.998058 | − | 0.0622925i | \(-0.0198412\pi\) |
−0.783383 | + | 0.621539i | \(0.786508\pi\) | |||||||
\(488\) | 23.4694 | − | 19.0052i | 1.06241 | − | 0.860323i | ||||
\(489\) | 11.6691 | − | 2.46302i | 0.527696 | − | 0.111382i | ||||
\(490\) | 28.0826 | − | 31.1889i | 1.26864 | − | 1.40897i | ||||
\(491\) | 9.01630 | − | 4.01431i | 0.406900 | − | 0.181163i | −0.193072 | − | 0.981185i | \(-0.561845\pi\) |
0.599972 | + | 0.800021i | \(0.295178\pi\) | |||||||
\(492\) | 0.00773068 | − | 5.43913i | 0.000348526 | − | 0.245215i | ||||
\(493\) | −14.1203 | − | 4.58797i | −0.635947 | − | 0.206632i | ||||
\(494\) | −11.4779 | − | 28.0908i | −0.516413 | − | 1.26386i | ||||
\(495\) | 12.7888 | + | 31.2429i | 0.574813 | + | 1.40427i | ||||
\(496\) | −18.3171 | + | 4.90806i | −0.822464 | + | 0.220379i | ||||
\(497\) | 23.9985 | − | 21.6083i | 1.07648 | − | 0.969265i | ||||
\(498\) | −4.18084 | − | 15.6923i | −0.187348 | − | 0.703188i | ||||
\(499\) | 1.87196 | + | 11.8191i | 0.0838003 | + | 0.529094i | 0.993500 | + | 0.113828i | \(0.0363114\pi\) |
−0.909700 | + | 0.415266i | \(0.863689\pi\) | |||||||
\(500\) | 0.0966806 | + | 1.84478i | 0.00432369 | + | 0.0825009i | ||||
\(501\) | −16.9419 | + | 15.2110i | −0.756907 | + | 0.679576i | ||||
\(502\) | −8.34458 | + | 1.32165i | −0.372437 | + | 0.0589882i | ||||
\(503\) | 5.92322 | − | 13.3038i | 0.264103 | − | 0.593186i | −0.732007 | − | 0.681297i | \(-0.761416\pi\) |
0.996111 | + | 0.0881107i | \(0.0280829\pi\) | |||||||
\(504\) | −25.4351 | + | 14.5887i | −1.13297 | + | 0.649832i | ||||
\(505\) | −7.23709 | − | 27.0092i | −0.322046 | − | 1.20189i | ||||
\(506\) | 2.30606 | + | 7.82331i | 0.102517 | + | 0.347788i | ||||
\(507\) | 18.0693 | + | 13.4350i | 0.802487 | + | 0.596669i | ||||
\(508\) | 0.501780 | − | 1.54432i | 0.0222629 | − | 0.0685181i | ||||
\(509\) | −5.92635 | − | 4.79907i | −0.262681 | − | 0.212715i | 0.488927 | − | 0.872324i | \(-0.337388\pi\) |
−0.751608 | + | 0.659610i | \(0.770722\pi\) | |||||||
\(510\) | −20.1811 | − | 10.3189i | −0.893633 | − | 0.456930i | ||||
\(511\) | −10.9480 | − | 9.85760i | −0.484310 | − | 0.436075i | ||||
\(512\) | 12.3722 | + | 6.30394i | 0.546778 | + | 0.278597i | ||||
\(513\) | 25.9558 | + | 11.6891i | 1.14598 | + | 0.516088i | ||||
\(514\) | −20.8327 | + | 7.99691i | −0.918890 | + | 0.352729i | ||||
\(515\) | −32.2349 | + | 16.4245i | −1.42044 | + | 0.723750i | ||||
\(516\) | −2.37710 | − | 0.916362i | −0.104646 | − | 0.0403406i | ||||
\(517\) | −5.03872 | + | 4.29190i | −0.221603 | + | 0.188757i | ||||
\(518\) | 40.4401 | − | 10.8359i | 1.77684 | − | 0.476102i | ||||
\(519\) | 10.8900 | + | 28.4905i | 0.478020 | + | 1.25059i | ||||
\(520\) | −26.2001 | − | 16.2290i | −1.14895 | − | 0.711691i | ||||
\(521\) | −7.02657 | + | 9.67124i | −0.307840 | + | 0.423705i | −0.934706 | − | 0.355422i | \(-0.884337\pi\) |
0.626866 | + | 0.779127i | \(0.284337\pi\) | |||||||
\(522\) | −25.4726 | + | 9.69503i | −1.11491 | + | 0.424340i | ||||
\(523\) | −4.62679 | − | 0.983455i | −0.202315 | − | 0.0430035i | 0.105639 | − | 0.994405i | \(-0.466311\pi\) |
−0.307955 | + | 0.951401i | \(0.599644\pi\) | |||||||
\(524\) | −0.402254 | + | 3.82719i | −0.0175725 | + | 0.167192i | ||||
\(525\) | −37.9267 | + | 21.8252i | −1.65526 | + | 0.952528i | ||||
\(526\) | 9.91357 | + | 6.43795i | 0.432252 | + | 0.280708i | ||||
\(527\) | 2.68424 | − | 10.0177i | 0.116928 | − | 0.436379i | ||||
\(528\) | −26.1356 | − | 3.51400i | −1.13741 | − | 0.152927i | ||||
\(529\) | 10.2188 | + | 17.6995i | 0.444297 | + | 0.769545i | ||||
\(530\) | −39.1693 | − | 43.5020i | −1.70141 | − | 1.88960i | ||||
\(531\) | −14.8776 | − | 18.4795i | −0.645634 | − | 0.801943i | ||||
\(532\) | 4.49900 | − | 6.19234i | 0.195056 | − | 0.268472i | ||||
\(533\) | 25.8250 | + | 17.9322i | 1.11860 | + | 0.776730i | ||||
\(534\) | −3.65145 | − | 2.37867i | −0.158014 | − | 0.102935i | ||||
\(535\) | −0.164126 | − | 0.0630021i | −0.00709579 | − | 0.00272382i | ||||
\(536\) | −13.1789 | + | 1.38516i | −0.569241 | + | 0.0598296i | ||||
\(537\) | 2.01411 | − | 2.48000i | 0.0869151 | − | 0.107020i | ||||
\(538\) | 26.3643 | + | 26.3643i | 1.13665 | + | 1.13665i | ||||
\(539\) | 16.2284 | + | 21.2076i | 0.699006 | + | 0.913475i | ||||
\(540\) | −6.21587 | + | 1.29355i | −0.267489 | + | 0.0556655i | ||||
\(541\) | −13.0070 | − | 25.5277i | −0.559216 | − | 1.09752i | −0.981572 | − | 0.191093i | \(-0.938797\pi\) |
0.422356 | − | 0.906430i | \(-0.361203\pi\) | |||||||
\(542\) | −10.1196 | + | 22.7291i | −0.434676 | + | 0.976298i | ||||
\(543\) | 24.3889 | + | 12.4704i | 1.04663 | + | 0.535158i | ||||
\(544\) | 4.24010 | − | 2.75356i | 0.181793 | − | 0.118058i | ||||
\(545\) | −12.5603 | − | 38.6567i | −0.538026 | − | 1.65587i | ||||
\(546\) | −3.15123 | + | 37.0877i | −0.134860 | + | 1.58721i | ||||
\(547\) | −37.3958 | + | 27.1696i | −1.59893 | + | 1.16169i | −0.709403 | + | 0.704803i | \(0.751035\pi\) |
−0.889525 | + | 0.456887i | \(0.848965\pi\) | |||||||
\(548\) | 2.68752 | + | 0.140847i | 0.114805 | + | 0.00601669i | ||||
\(549\) | 26.6564 | + | 24.1391i | 1.13767 | + | 1.03023i | ||||
\(550\) | −32.8898 | − | 4.37454i | −1.40243 | − | 0.186531i | ||||
\(551\) | −22.9085 | + | 22.9085i | −0.975936 | + | 0.975936i | ||||
\(552\) | 6.94763 | − | 0.720243i | 0.295711 | − | 0.0306556i | ||||
\(553\) | −22.7945 | + | 8.74998i | −0.969319 | + | 0.372087i | ||||
\(554\) | −5.18702 | − | 32.7496i | −0.220376 | − | 1.39140i | ||||
\(555\) | −41.2206 | − | 2.21903i | −1.74972 | − | 0.0941926i | ||||
\(556\) | −1.73290 | + | 8.15266i | −0.0734914 | + | 0.345750i | ||||
\(557\) | −23.8100 | − | 9.13979i | −1.00886 | − | 0.387265i | −0.202878 | − | 0.979204i | \(-0.565029\pi\) |
−0.805983 | + | 0.591939i | \(0.798363\pi\) | |||||||
\(558\) | −7.69426 | − | 17.4146i | −0.325724 | − | 0.737221i | ||||
\(559\) | 12.1762 | − | 8.28264i | 0.514997 | − | 0.350318i | ||||
\(560\) | − | 60.4270i | − | 2.55351i | ||||||
\(561\) | 8.81119 | − | 11.4178i | 0.372009 | − | 0.482059i | ||||
\(562\) | 6.76389 | − | 11.7154i | 0.285317 | − | 0.494184i | ||||
\(563\) | 0.345462 | − | 0.0734303i | 0.0145595 | − | 0.00309472i | −0.200626 | − | 0.979668i | \(-0.564298\pi\) |
0.215186 | + | 0.976573i | \(0.430964\pi\) | |||||||
\(564\) | −0.620868 | − | 1.07891i | −0.0261432 | − | 0.0454304i | ||||
\(565\) | 31.7903 | − | 25.7433i | 1.33743 | − | 1.08303i | ||||
\(566\) | 38.2519 | − | 2.00470i | 1.60785 | − | 0.0842638i | ||||
\(567\) | −21.8192 | − | 27.2600i | −0.916322 | − | 1.14481i | ||||
\(568\) | 2.19195 | − | 20.8550i | 0.0919721 | − | 0.875056i | ||||
\(569\) | −1.73593 | − | 16.5163i | −0.0727740 | − | 0.692398i | −0.968707 | − | 0.248208i | \(-0.920158\pi\) |
0.895933 | − | 0.444190i | \(-0.146508\pi\) | |||||||
\(570\) | −40.0551 | + | 29.0148i | −1.67772 | + | 1.21530i | ||||
\(571\) | 38.7909i | 1.62335i | 0.584109 | + | 0.811675i | \(0.301444\pi\) | ||||
−0.584109 | + | 0.811675i | \(0.698556\pi\) | |||||||
\(572\) | −2.90116 | + | 3.18260i | −0.121304 | + | 0.133071i | ||||
\(573\) | 3.86042 | + | 4.78110i | 0.161271 | + | 0.199733i | ||||
\(574\) | −2.72004 | + | 51.9014i | −0.113532 | + | 2.16632i | ||||
\(575\) | 10.3667 | − | 1.08958i | 0.432319 | − | 0.0454386i | ||||
\(576\) | −5.69272 | + | 17.3524i | −0.237197 | + | 0.723016i | ||||
\(577\) | −1.03524 | + | 2.03177i | −0.0430976 | + | 0.0845839i | −0.911551 | − | 0.411187i | \(-0.865114\pi\) |
0.868453 | + | 0.495771i | \(0.165114\pi\) | |||||||
\(578\) | −0.860053 | − | 16.4108i | −0.0357735 | − | 0.682599i | ||||
\(579\) | −21.4094 | − | 4.58252i | −0.889743 | − | 0.190443i | ||||
\(580\) | 1.13037 | − | 7.13686i | 0.0469360 | − | 0.296342i | ||||
\(581\) | 4.92289 | + | 23.1604i | 0.204236 | + | 0.960855i | ||||
\(582\) | 3.70210 | + | 23.5911i | 0.153457 | + | 0.977884i | ||||
\(583\) | 31.7842 | − | 19.4193i | 1.31637 | − | 0.804263i | ||||
\(584\) | −9.56635 | −0.395858 | ||||||||
\(585\) | 14.3033 | − | 33.7980i | 0.591367 | − | 1.39738i | ||||
\(586\) | −11.0175 | + | 8.00469i | −0.455129 | + | 0.330671i | ||||
\(587\) | −12.6199 | + | 32.8760i | −0.520879 | + | 1.35694i | 0.380851 | + | 0.924637i | \(0.375631\pi\) |
−0.901730 | + | 0.432300i | \(0.857702\pi\) | |||||||
\(588\) | −4.47811 | + | 2.27370i | −0.184674 | + | 0.0937658i | ||||
\(589\) | −16.8180 | − | 15.1430i | −0.692972 | − | 0.623955i | ||||
\(590\) | 40.7127 | − | 6.44826i | 1.67612 | − | 0.265471i | ||||
\(591\) | −6.32189 | + | 10.9140i | −0.260048 | + | 0.448941i | ||||
\(592\) | 17.5624 | − | 27.0437i | 0.721809 | − | 1.11149i | ||||
\(593\) | 5.40959 | + | 5.40959i | 0.222145 | + | 0.222145i | 0.809401 | − | 0.587256i | \(-0.199792\pi\) |
−0.587256 | + | 0.809401i | \(0.699792\pi\) | |||||||
\(594\) | −0.544987 | − | 26.4700i | −0.0223611 | − | 1.08608i | ||||
\(595\) | 28.6202 | + | 16.5239i | 1.17332 | + | 0.677414i | ||||
\(596\) | −0.142728 | + | 2.72342i | −0.00584637 | + | 0.111555i | ||||
\(597\) | −26.1394 | − | 7.04386i | −1.06981 | − | 0.288286i | ||||
\(598\) | 4.26816 | − | 7.77173i | 0.174538 | − | 0.317810i | ||||
\(599\) | −42.1563 | + | 13.6974i | −1.72246 | + | 0.559662i | −0.992327 | − | 0.123642i | \(-0.960543\pi\) |
−0.730134 | + | 0.683304i | \(0.760543\pi\) | |||||||
\(600\) | −8.81905 | + | 27.0115i | −0.360036 | + | 1.10274i | ||||
\(601\) | −19.5025 | + | 8.68306i | −0.795522 | + | 0.354189i | −0.763920 | − | 0.645311i | \(-0.776728\pi\) |
−0.0316025 | + | 0.999501i | \(0.510061\pi\) | |||||||
\(602\) | 22.2387 | + | 9.90130i | 0.906381 | + | 0.403547i | ||||
\(603\) | −4.04082 | − | 15.2539i | −0.164555 | − | 0.621186i | ||||
\(604\) | 0.818857 | − | 3.05602i | 0.0333188 | − | 0.124348i | ||||
\(605\) | 11.6275 | − | 35.4646i | 0.472726 | − | 1.44184i | ||||
\(606\) | −2.32322 | + | 21.8058i | −0.0943744 | + | 0.885800i | ||||
\(607\) | −22.8310 | + | 4.85289i | −0.926683 | + | 0.196973i | −0.646447 | − | 0.762959i | \(-0.723746\pi\) |
−0.280236 | + | 0.959931i | \(0.590413\pi\) | |||||||
\(608\) | −1.15317 | − | 10.9717i | −0.0467672 | − | 0.444961i | ||||
\(609\) | 37.8112 | − | 12.2262i | 1.53219 | − | 0.495431i | ||||
\(610\) | −59.4248 | + | 19.3083i | −2.40604 | + | 0.781770i | ||||
\(611\) | 7.17047 | + | 0.598988i | 0.290086 | + | 0.0242325i | ||||
\(612\) | 1.80921 | + | 2.02085i | 0.0731329 | + | 0.0816881i | ||||
\(613\) | 17.7930 | − | 21.9726i | 0.718653 | − | 0.887463i | −0.278684 | − | 0.960383i | \(-0.589898\pi\) |
0.997338 | + | 0.0729197i | \(0.0232317\pi\) | |||||||
\(614\) | −16.8128 | + | 15.1383i | −0.678511 | + | 0.610934i | ||||
\(615\) | 18.4324 | − | 47.8149i | 0.743267 | − | 1.92808i | ||||
\(616\) | 31.8658 | + | 5.94984i | 1.28391 | + | 0.239726i | ||||
\(617\) | 15.6000 | + | 4.18000i | 0.628031 | + | 0.168280i | 0.558776 | − | 0.829319i | \(-0.311271\pi\) |
0.0692547 | + | 0.997599i | \(0.477938\pi\) | |||||||
\(618\) | 28.2215 | − | 2.92565i | 1.13523 | − | 0.117687i | ||||
\(619\) | 3.06564 | − | 19.3557i | 0.123219 | − | 0.777971i | −0.846255 | − | 0.532777i | \(-0.821148\pi\) |
0.969474 | − | 0.245194i | \(-0.0788517\pi\) | |||||||
\(620\) | 5.01983 | + | 0.527605i | 0.201601 | + | 0.0211891i | ||||
\(621\) | 2.11849 | + | 8.04334i | 0.0850121 | + | 0.322768i | ||||
\(622\) | −12.7302 | + | 8.26709i | −0.510434 | + | 0.331480i | ||||
\(623\) | 5.14041 | + | 3.73473i | 0.205946 | + | 0.149629i | ||||
\(624\) | 17.3101 | + | 22.8521i | 0.692959 | + | 0.914814i | ||||
\(625\) | 4.68314 | − | 14.4132i | 0.187325 | − | 0.576528i | ||||
\(626\) | 4.27363 | + | 15.9494i | 0.170809 | + | 0.637467i | ||||
\(627\) | −13.4703 | − | 28.4423i | −0.537954 | − | 1.13588i | ||||
\(628\) | −1.65081 | + | 0.953096i | −0.0658745 | + | 0.0380327i | ||||
\(629\) | 8.00633 | + | 15.7133i | 0.319233 | + | 0.626530i | ||||
\(630\) | 59.9470 | − | 9.32007i | 2.38835 | − | 0.371321i | ||||
\(631\) | −14.5507 | − | 17.9687i | −0.579256 | − | 0.715321i | 0.400325 | − | 0.916373i | \(-0.368897\pi\) |
−0.979581 | + | 0.201052i | \(0.935564\pi\) | |||||||
\(632\) | −7.19798 | + | 14.1268i | −0.286320 | + | 0.561935i | ||||
\(633\) | −2.02965 | + | 37.7026i | −0.0806713 | + | 1.49854i | ||||
\(634\) | 14.1871 | + | 31.8647i | 0.563441 | + | 1.26551i | ||||
\(635\) | 9.62769 | − | 11.8892i | 0.382063 | − | 0.471809i | ||||
\(636\) | 2.50108 | + | 6.54331i | 0.0991741 | + | 0.259459i | ||||
\(637\) | 3.92744 | − | 28.7638i | 0.155611 | − | 1.13966i | ||||
\(638\) | 28.3901 | + | 10.0960i | 1.12397 | + | 0.399703i | ||||
\(639\) | 24.9406 | − | 1.23600i | 0.986633 | − | 0.0488953i | ||||
\(640\) | −30.3755 | − | 33.7354i | −1.20070 | − | 1.33351i | ||||
\(641\) | 24.7100 | + | 11.0016i | 0.975985 | + | 0.434537i | 0.831837 | − | 0.555019i | \(-0.187289\pi\) |
0.144148 | + | 0.989556i | \(0.453956\pi\) | |||||||
\(642\) | 0.102329 | + | 0.0924010i | 0.00403860 | + | 0.00364678i | ||||
\(643\) | 12.1070 | − | 0.634499i | 0.477452 | − | 0.0250222i | 0.187907 | − | 0.982187i | \(-0.439830\pi\) |
0.289544 | + | 0.957165i | \(0.406496\pi\) | |||||||
\(644\) | 2.23341 | − | 0.117048i | 0.0880088 | − | 0.00461235i | ||||
\(645\) | −17.8143 | − | 16.0860i | −0.701438 | − | 0.633386i | ||||
\(646\) | 19.3031 | + | 8.59429i | 0.759470 | + | 0.338138i | ||||
\(647\) | 3.06399 | + | 3.40291i | 0.120458 | + | 0.133782i | 0.800357 | − | 0.599523i | \(-0.204643\pi\) |
−0.679899 | + | 0.733305i | \(0.737977\pi\) | |||||||
\(648\) | −22.3739 | − | 3.67419i | −0.878931 | − | 0.144336i | ||||
\(649\) | −0.721443 | + | 26.2181i | −0.0283191 | + | 1.02915i | ||||
\(650\) | 21.8203 | + | 28.7213i | 0.855861 | + | 1.12654i | ||||
\(651\) | 9.91103 | + | 25.9292i | 0.388444 | + | 1.01625i | ||||
\(652\) | 1.56051 | − | 1.92708i | 0.0611145 | − | 0.0754701i | ||||
\(653\) | 13.5418 | + | 30.4153i | 0.529930 | + | 1.19024i | 0.958071 | + | 0.286530i | \(0.0925018\pi\) |
−0.428142 | + | 0.903712i | \(0.640832\pi\) | |||||||
\(654\) | −1.71354 | + | 31.8307i | −0.0670049 | + | 1.24468i | ||||
\(655\) | −16.4601 | + | 32.3047i | −0.643148 | + | 1.26225i | ||||
\(656\) | 25.1914 | + | 31.1088i | 0.983560 | + | 1.21460i | ||||
\(657\) | −1.75007 | − | 11.2565i | −0.0682766 | − | 0.439157i | ||||
\(658\) | 5.39998 | + | 10.5981i | 0.210513 | + | 0.413155i | ||||
\(659\) | 17.1375 | − | 9.89435i | 0.667583 | − | 0.385429i | −0.127577 | − | 0.991829i | \(-0.540720\pi\) |
0.795160 | + | 0.606399i | \(0.207387\pi\) | |||||||
\(660\) | 6.15929 | + | 3.36620i | 0.239750 | + | 0.131029i | ||||
\(661\) | −5.85921 | − | 21.8669i | −0.227897 | − | 0.850523i | −0.981223 | − | 0.192876i | \(-0.938218\pi\) |
0.753326 | − | 0.657647i | \(-0.228448\pi\) | |||||||
\(662\) | 12.0900 | − | 37.2091i | 0.469890 | − | 1.44617i | ||||
\(663\) | −15.5570 | + | 1.94970i | −0.604184 | + | 0.0757201i | ||||
\(664\) | 12.4390 | + | 9.03745i | 0.482726 | + | 0.350721i | ||||
\(665\) | 60.4795 | − | 39.2758i | 2.34529 | − | 1.52305i | ||||
\(666\) | 29.5377 | + | 13.2517i | 1.14456 | + | 0.513495i | ||||
\(667\) | −9.41443 | − | 0.989496i | −0.364528 | − | 0.0383135i | ||||
\(668\) | −0.740556 | + | 4.67569i | −0.0286530 | + | 0.180908i | ||||
\(669\) | 9.24434 | − | 0.958337i | 0.357407 | − | 0.0370515i | ||||
\(670\) | 26.4832 | + | 7.09615i | 1.02313 | + | 0.274148i | ||||
\(671\) | −5.13695 | − | 39.4241i | −0.198310 | − | 1.52195i | ||||
\(672\) | −4.86737 | + | 12.6263i | −0.187763 | + | 0.487069i | ||||
\(673\) | −27.1121 | + | 24.4119i | −1.04510 | + | 0.941008i | −0.998323 | − | 0.0578978i | \(-0.981560\pi\) |
−0.0467725 | + | 0.998906i | \(0.514894\pi\) | |||||||
\(674\) | −15.1798 | + | 18.7455i | −0.584706 | + | 0.722051i | ||||
\(675\) | −33.3972 | − | 5.43567i | −1.28546 | − | 0.209219i | ||||
\(676\) | 4.67735 | − | 0.200105i | 0.179898 | − | 0.00769634i | ||||
\(677\) | 12.8296 | − | 4.16859i | 0.493082 | − | 0.160212i | −0.0519127 | − | 0.998652i | \(-0.516532\pi\) |
0.544994 | + | 0.838440i | \(0.316532\pi\) | |||||||
\(678\) | −30.5249 | + | 9.87020i | −1.17230 | + | 0.379063i | ||||
\(679\) | −3.63940 | − | 34.6266i | −0.139667 | − | 1.32885i | ||||
\(680\) | 20.9910 | − | 4.46177i | 0.804968 | − | 0.171101i | ||||
\(681\) | 2.59968 | − | 24.4007i | 0.0996200 | − | 0.935035i | ||||
\(682\) | −6.00481 | + | 20.1733i | −0.229936 | + | 0.772477i | ||||
\(683\) | −3.79471 | + | 14.1621i | −0.145201 | + | 0.541896i | 0.854546 | + | 0.519376i | \(0.173836\pi\) |
−0.999746 | + | 0.0225201i | \(0.992831\pi\) | |||||||
\(684\) | 5.72136 | − | 1.51561i | 0.218762 | − | 0.0579510i | ||||
\(685\) | 23.1631 | + | 10.3129i | 0.885018 | + | 0.394035i | ||||
\(686\) | 5.72621 | − | 2.54947i | 0.218628 | − | 0.0973393i | ||||
\(687\) | −7.34260 | + | 22.4894i | −0.280137 | + | 0.858023i | ||||
\(688\) | 17.8316 | − | 5.79385i | 0.679825 | − | 0.220888i | ||||
\(689\) | −39.3271 | − | 9.64158i | −1.49824 | − | 0.367315i | ||||
\(690\) | −13.9540 | − | 3.76022i | −0.531219 | − | 0.143149i | ||||
\(691\) | −2.44039 | + | 46.5654i | −0.0928367 | + | 1.77143i | 0.414851 | + | 0.909889i | \(0.363834\pi\) |
−0.507688 | + | 0.861541i | \(0.669500\pi\) | |||||||
\(692\) | 5.49206 | + | 3.17084i | 0.208777 | + | 0.120537i | ||||
\(693\) | −1.17149 | + | 38.5842i | −0.0445013 | + | 1.46569i | ||||
\(694\) | −5.02437 | − | 5.02437i | −0.190723 | − | 0.190723i | ||||
\(695\) | −42.7684 | + | 65.8576i | −1.62230 | + | 2.49812i | ||||
\(696\) | 12.9341 | − | 22.3292i | 0.490267 | − | 0.846386i | ||||
\(697\) | −21.6228 | + | 3.42472i | −0.819024 | + | 0.129721i | ||||
\(698\) | −22.1651 | − | 19.9576i | −0.838963 | − | 0.755406i | ||||
\(699\) | 23.6749 | − | 12.0206i | 0.895467 | − | 0.454661i | ||||
\(700\) | −3.26047 | + | 8.49382i | −0.123234 | + | 0.321036i | ||||
\(701\) | 30.3893 | − | 22.0791i | 1.14779 | − | 0.833916i | 0.159602 | − | 0.987181i | \(-0.448979\pi\) |
0.988185 | + | 0.153266i | \(0.0489790\pi\) | |||||||
\(702\) | −20.0007 | + | 20.6973i | −0.754877 | + | 0.781168i | ||||
\(703\) | 38.4822 | 1.45139 | ||||||||
\(704\) | 17.2286 | − | 10.5262i | 0.649328 | − | 0.396722i | ||||
\(705\) | −1.81818 | − | 11.5861i | −0.0684765 | − | 0.436357i | ||||
\(706\) | 9.88284 | + | 46.4951i | 0.371946 | + | 1.74987i | ||||
\(707\) | 5.00172 | − | 31.5796i | 0.188109 | − | 1.18767i | ||||
\(708\) | −4.82344 | − | 1.03242i | −0.181276 | − | 0.0388008i | ||||
\(709\) | −1.17426 | − | 22.4061i | −0.0441001 | − | 0.841480i | −0.927720 | − | 0.373276i | \(-0.878234\pi\) |
0.883620 | − | 0.468204i | \(-0.155099\pi\) | |||||||
\(710\) | −19.6972 | + | 38.6580i | −0.739223 | + | 1.45081i | ||||
\(711\) | −17.9395 | − | 5.88532i | −0.672783 | − | 0.220717i | ||||
\(712\) | 4.10337 | − | 0.431281i | 0.153780 | − | 0.0161629i | ||||
\(713\) | 0.346073 | − | 6.60346i | 0.0129605 | − | 0.247302i | ||||
\(714\) | −16.2820 | − | 20.1651i | −0.609337 | − | 0.754659i | ||||
\(715\) | −36.2634 | + | 18.1979i | −1.35617 | + | 0.680562i | ||||
\(716\) | − | 0.664267i | − | 0.0248248i | ||||||
\(717\) | −11.9170 | + | 8.63234i | −0.445048 | + | 0.322381i | ||||
\(718\) | −2.15688 | − | 20.5213i | −0.0804940 | − | 0.765849i | ||||
\(719\) | 1.12223 | − | 10.6773i | 0.0418520 | − | 0.398195i | −0.953463 | − | 0.301510i | \(-0.902509\pi\) |
0.995315 | − | 0.0966851i | \(-0.0308240\pi\) | |||||||
\(720\) | 29.5088 | − | 36.2293i | 1.09973 | − | 1.35019i | ||||
\(721\) | −41.3113 | + | 2.16504i | −1.53851 | + | 0.0806301i | ||||
\(722\) | 13.1480 | − | 10.6470i | 0.489316 | − | 0.396240i | ||||
\(723\) | 6.96846 | + | 12.1094i | 0.259160 | + | 0.450355i | ||||
\(724\) | 5.57087 | − | 1.18413i | 0.207040 | − | 0.0440077i | ||||
\(725\) | 19.2547 | − | 33.3501i | 0.715101 | − | 1.23859i | ||||
\(726\) | −18.5128 | + | 22.6716i | −0.687075 | + | 0.841422i | ||||
\(727\) | − | 46.3786i | − | 1.72009i | −0.510221 | − | 0.860043i | \(-0.670436\pi\) | ||
0.510221 | − | 0.860043i | \(-0.329564\pi\) | |||||||
\(728\) | −19.8207 | − | 29.1381i | −0.734606 | − | 1.07993i | ||||
\(729\) | 0.230249 | − | 26.9990i | 0.00852775 | − | 0.999964i | ||||
\(730\) | 18.4782 | + | 7.09312i | 0.683910 | + | 0.262528i | ||||
\(731\) | −2.13194 | + | 10.0300i | −0.0788528 | + | 0.370973i | ||||
\(732\) | 7.46633 | + | 0.401936i | 0.275964 | + | 0.0148560i | ||||
\(733\) | 0.697032 | + | 4.40089i | 0.0257455 | + | 0.162550i | 0.997211 | − | 0.0746287i | \(-0.0237772\pi\) |
−0.971466 | + | 0.237179i | \(0.923777\pi\) | |||||||
\(734\) | −51.6982 | + | 19.8451i | −1.90822 | + | 0.732496i | ||||
\(735\) | −47.0650 | + | 4.87911i | −1.73602 | + | 0.179969i | ||||
\(736\) | 2.27935 | − | 2.27935i | 0.0840180 | − | 0.0840180i | ||||
\(737\) | −7.53140 | + | 15.7360i | −0.277423 | + | 0.579643i | ||||
\(738\) | −26.9763 | + | 29.7895i | −0.993011 | + | 1.09657i | ||||
\(739\) | −8.00986 | − | 0.419779i | −0.294647 | − | 0.0154418i | −0.0955604 | − | 0.995424i | \(-0.530464\pi\) |
−0.199087 | + | 0.979982i | \(0.563798\pi\) | |||||||
\(740\) | −6.94373 | + | 5.04492i | −0.255257 | + | 0.185455i | ||||
\(741\) | −11.6208 | + | 32.1783i | −0.426902 | + | 1.18210i | ||||
\(742\) | −20.6841 | − | 63.6592i | −0.759338 | − | 2.33700i | ||||
\(743\) | −10.7938 | + | 7.00959i | −0.395987 | + | 0.257157i | −0.727237 | − | 0.686386i | \(-0.759196\pi\) |
0.331251 | + | 0.943543i | \(0.392529\pi\) | |||||||
\(744\) | 16.0492 | + | 8.20622i | 0.588392 | + | 0.300855i | ||||
\(745\) | −10.4506 | + | 23.4725i | −0.382881 | + | 0.859965i | ||||
\(746\) | −11.7979 | − | 23.1546i | −0.431950 | − | 0.847750i | ||||
\(747\) | −8.35856 | + | 16.2900i | −0.305824 | + | 0.596019i | ||||
\(748\) | −0.0745087 | − | 2.99774i | −0.00272431 | − | 0.109608i | ||||
\(749\) | −0.142145 | − | 0.142145i | −0.00519385 | − | 0.00519385i | ||||
\(750\) | 8.60492 | − | 10.5954i | 0.314207 | − | 0.386888i | ||||
\(751\) | −6.40341 | + | 0.673026i | −0.233664 | + | 0.0245591i | −0.220637 | − | 0.975356i | \(-0.570813\pi\) |
−0.0130272 | + | 0.999915i | \(0.504147\pi\) | |||||||
\(752\) | 8.55270 | + | 3.28307i | 0.311885 | + | 0.119721i | ||||
\(753\) | 7.98119 | + | 5.19919i | 0.290851 | + | 0.189469i | ||||
\(754\) | −13.9600 | − | 29.6331i | −0.508392 | − | 1.07917i | ||||
\(755\) | 17.5206 | − | 24.1151i | 0.637641 | − | 0.877638i | ||||
\(756\) | −7.09471 | − | 1.53967i | −0.258032 | − | 0.0559974i | ||||
\(757\) | 32.4741 | + | 36.0662i | 1.18029 | + | 1.31085i | 0.940409 | + | 0.340045i | \(0.110442\pi\) |
0.239883 | + | 0.970802i | \(0.422891\pi\) | |||||||
\(758\) | 0.942681 | + | 1.63277i | 0.0342397 | + | 0.0593049i | ||||
\(759\) | 3.98159 | − | 8.28881i | 0.144523 | − | 0.300865i | ||||
\(760\) | 12.1199 | − | 45.2321i | 0.439635 | − | 1.64074i | ||||
\(761\) | 0.641577 | + | 0.416645i | 0.0232571 | + | 0.0151034i | 0.556215 | − | 0.831038i | \(-0.312253\pi\) |
−0.532958 | + | 0.846142i | \(0.678920\pi\) | |||||||
\(762\) | −10.3990 | + | 5.98418i | −0.376716 | + | 0.216784i | ||||
\(763\) | 4.85817 | − | 46.2224i | 0.175878 | − | 1.67336i | ||||
\(764\) | 1.24975 | + | 0.265643i | 0.0452144 | + | 0.00961062i | ||||
\(765\) | 9.09015 | + | 23.8834i | 0.328655 | + | 0.863504i | ||||
\(766\) | 13.7624 | − | 18.9423i | 0.497255 | − | 0.684412i | ||||
\(767\) | 20.7765 | − | 19.5274i | 0.750198 | − | 0.705095i | ||||
\(768\) | 5.18205 | + | 13.5573i | 0.186991 | + | 0.489206i | ||||
\(769\) | −21.3580 | + | 5.72286i | −0.770189 | + | 0.206372i | −0.622455 | − | 0.782656i | \(-0.713865\pi\) |
−0.147734 | + | 0.989027i | \(0.547198\pi\) | |||||||
\(770\) | −57.1400 | − | 35.1201i | −2.05918 | − | 1.26564i | ||||
\(771\) | 23.4747 | + | 9.04941i | 0.845422 | + | 0.325906i | ||||
\(772\) | −4.05607 | + | 2.06667i | −0.145981 | + | 0.0743810i | ||||
\(773\) | −50.0867 | + | 19.2265i | −1.80149 | + | 0.691528i | −0.806541 | + | 0.591179i | \(0.798663\pi\) |
−0.994952 | + | 0.100350i | \(0.968004\pi\) | |||||||
\(774\) | 8.49813 | + | 16.7964i | 0.305459 | + | 0.603733i | ||||
\(775\) | 23.9681 | + | 12.2124i | 0.860961 | + | 0.438682i | ||||
\(776\) | −16.8018 | − | 15.1284i | −0.603148 | − | 0.543077i | ||||
\(777\) | −42.0269 | − | 21.4891i | −1.50771 | − | 0.770917i | ||||
\(778\) | 35.9887 | + | 29.1431i | 1.29026 | + | 1.04483i | ||||
\(779\) | −14.7621 | + | 45.4332i | −0.528908 | + | 1.62781i | ||||
\(780\) | −2.12163 | − | 7.32972i | −0.0759666 | − | 0.262446i | ||||
\(781\) | −21.8795 | − | 16.8350i | −0.782909 | − | 0.602403i | ||||
\(782\) | 1.59794 | + | 5.96359i | 0.0571422 | + | 0.213258i | ||||
\(783\) | 28.6404 | + | 11.1344i | 1.02352 | + | 0.397910i | ||||
\(784\) | 15.0337 | − | 33.7661i | 0.536916 | − | 1.20593i | ||||
\(785\) | −17.7380 | + | 2.80943i | −0.633098 | + | 0.100273i | ||||
\(786\) | 21.1577 | − | 18.9961i | 0.754670 | − | 0.677569i | ||||
\(787\) | 1.11009 | + | 21.1819i | 0.0395706 | + | 0.755052i | 0.944304 | + | 0.329074i | \(0.106737\pi\) |
−0.904734 | + | 0.425978i | \(0.859930\pi\) | |||||||
\(788\) | 0.410237 | + | 2.59014i | 0.0146141 | + | 0.0922698i | ||||
\(789\) | −3.43098 | − | 12.8778i | −0.122146 | − | 0.458460i | ||||
\(790\) | 24.3781 | − | 21.9501i | 0.867333 | − | 0.780950i | ||||
\(791\) | 45.1810 | − | 12.1062i | 1.60645 | − | 0.430447i | ||||
\(792\) | 16.1998 | + | 19.1286i | 0.575635 | + | 0.679704i | ||||
\(793\) | −26.4755 | + | 34.1626i | −0.940174 | + | 1.21315i | ||||
\(794\) | 32.8139 | + | 10.6619i | 1.16452 | + | 0.378376i | ||||
\(795\) | −0.0938030 | + | 65.9976i | −0.00332685 | + | 2.34069i | ||||
\(796\) | −5.14210 | + | 2.28941i | −0.182257 | + | 0.0811460i | ||||
\(797\) | 35.3718 | − | 39.2843i | 1.25293 | − | 1.39152i | 0.365352 | − | 0.930869i | \(-0.380948\pi\) |
0.887580 | − | 0.460653i | \(-0.152385\pi\) | |||||||
\(798\) | −55.3359 | + | 11.6798i | −1.95887 | + | 0.413462i | ||||
\(799\) | −3.89373 | + | 3.15308i | −0.137750 | + | 0.111548i | ||||
\(800\) | 4.69940 | + | 12.2423i | 0.166149 | + | 0.432832i | ||||
\(801\) | 1.25815 | + | 4.74943i | 0.0444544 | + | 0.167813i | ||||
\(802\) | −3.63815 | − | 6.30146i | −0.128467 | − | 0.222512i | ||||
\(803\) | −6.59463 | + | 10.7294i | −0.232720 | + | 0.378632i | ||||
\(804\) | −2.65160 | − | 1.93227i | −0.0935149 | − | 0.0681458i | ||||
\(805\) | 20.0397 | + | 6.51128i | 0.706305 | + | 0.229492i | ||||
\(806\) | 20.1610 | − | 10.8215i | 0.710141 | − | 0.381171i | ||||
\(807\) | −2.14034 | − | 41.9818i | −0.0753436 | − | 1.47783i | ||||
\(808\) | −11.3079 | − | 17.4126i | −0.397810 | − | 0.612574i | ||||
\(809\) | −1.25243 | + | 5.89223i | −0.0440332 | + | 0.207160i | −0.994664 | − | 0.103163i | \(-0.967104\pi\) |
0.950631 | + | 0.310323i | \(0.100437\pi\) | |||||||
\(810\) | 40.4929 | + | 23.6865i | 1.42277 | + | 0.832260i | ||||
\(811\) | −22.8803 | − | 3.62389i | −0.803436 | − | 0.127252i | −0.258807 | − | 0.965929i | \(-0.583330\pi\) |
−0.544629 | + | 0.838677i | \(0.683330\pi\) | |||||||
\(812\) | 4.50003 | − | 6.92944i | 0.157920 | − | 0.243176i | ||||
\(813\) | 25.6419 | − | 11.3729i | 0.899299 | − | 0.398863i | ||||
\(814\) | −15.3654 | − | 32.3248i | −0.538557 | − | 1.13298i | ||||
\(815\) | 20.2323 | − | 11.6811i | 0.708708 | − | 0.409173i | ||||
\(816\) | −19.7118 | − | 3.15076i | −0.690050 | − | 0.110299i | ||||
\(817\) | 17.3889 | + | 14.0813i | 0.608362 | + | 0.492642i | ||||
\(818\) | 49.4121 | + | 35.9000i | 1.72765 | + | 1.25521i | ||||
\(819\) | 30.6601 | − | 28.6531i | 1.07135 | − | 1.00122i | ||||
\(820\) | −3.29249 | − | 10.1332i | −0.114979 | − | 0.353868i | ||||
\(821\) | −5.87578 | + | 15.3069i | −0.205066 | + | 0.534216i | −0.997087 | − | 0.0762789i | \(-0.975696\pi\) |
0.792020 | + | 0.610495i | \(0.209029\pi\) | |||||||
\(822\) | −14.0407 | − | 14.0807i | −0.489726 | − | 0.491120i | ||||
\(823\) | 5.01631 | + | 23.5999i | 0.174858 | + | 0.822641i | 0.974891 | + | 0.222685i | \(0.0714820\pi\) |
−0.800033 | + | 0.599956i | \(0.795185\pi\) | |||||||
\(824\) | −18.9948 | + | 18.9948i | −0.661717 | + | 0.661717i | ||||
\(825\) | 24.2161 | + | 28.5119i | 0.843096 | + | 0.992655i | ||||
\(826\) | 45.5275 | + | 12.1990i | 1.58410 | + | 0.424459i | ||||
\(827\) | 1.18267 | − | 0.602598i | 0.0411253 | − | 0.0209544i | −0.433307 | − | 0.901246i | \(-0.642653\pi\) |
0.474432 | + | 0.880292i | \(0.342653\pi\) | |||||||
\(828\) | 1.39621 | + | 1.02048i | 0.0485218 | + | 0.0354643i | ||||
\(829\) | 7.11247 | + | 15.9749i | 0.247026 | + | 0.554830i | 0.993919 | − | 0.110114i | \(-0.0351217\pi\) |
−0.746892 | + | 0.664945i | \(0.768455\pi\) | |||||||
\(830\) | −17.3260 | − | 26.6797i | −0.601394 | − | 0.926066i | ||||
\(831\) | −20.4050 | + | 31.3234i | −0.707842 | + | 1.08660i | ||||
\(832\) | −21.3173 | − | 5.22622i | −0.739044 | − | 0.181187i | ||||
\(833\) | 11.8818 | + | 16.3539i | 0.411680 | + | 0.566628i | ||||
\(834\) | 49.8741 | − | 36.1275i | 1.72700 | − | 1.25099i | ||||
\(835\) | −22.3005 | + | 38.6256i | −0.771741 | + | 1.33670i | ||||
\(836\) | −5.90220 | − | 2.82485i | −0.204132 | − | 0.0976993i | ||||
\(837\) | −6.72002 | + | 20.3859i | −0.232278 | + | 0.704641i | ||||
\(838\) | −29.4625 | − | 19.1332i | −1.01776 | − | 0.660944i | ||||
\(839\) | −2.32662 | − | 6.06104i | −0.0803237 | − | 0.209250i | 0.887537 | − | 0.460736i | \(-0.152414\pi\) |
−0.967861 | + | 0.251485i | \(0.919081\pi\) | |||||||
\(840\) | −38.4946 | + | 42.6305i | −1.32819 | + | 1.47089i | ||||
\(841\) | −3.99611 | + | 4.43813i | −0.137797 | + | 0.153039i | ||||
\(842\) | −6.16683 | − | 1.31080i | −0.212523 | − | 0.0451732i | ||||
\(843\) | −14.5120 | + | 4.69243i | −0.499818 | + | 0.161616i | ||||
\(844\) | 4.61436 | + | 6.35112i | 0.158833 | + | 0.218615i | ||||
\(845\) | 41.8162 | + | 14.0323i | 1.43852 | + | 0.482727i | ||||
\(846\) | −1.93785 | + | 8.99114i | −0.0666248 | + | 0.309122i | ||||
\(847\) | 28.6402 | − | 31.6385i | 0.984088 | − | 1.08711i | ||||
\(848\) | −44.6469 | − | 25.7769i | −1.53318 | − | 0.885183i | ||||
\(849\) | −33.5231 | − | 27.2254i | −1.15051 | − | 0.934375i | ||||
\(850\) | −24.8068 | − | 3.92901i | −0.850866 | − | 0.134764i | ||||
\(851\) | 7.07619 | + | 8.73837i | 0.242569 | + | 0.299547i | ||||
\(852\) | 3.86332 | − | 3.46862i | 0.132355 | − | 0.118833i | ||||
\(853\) | −5.78051 | − | 2.94532i | −0.197921 | − | 0.100846i | 0.352221 | − | 0.935917i | \(-0.385426\pi\) |
−0.550142 | + | 0.835071i | \(0.685426\pi\) | |||||||
\(854\) | −71.0551 | − | 7.46820i | −2.43146 | − | 0.255556i | ||||
\(855\) | 55.4407 | + | 5.98643i | 1.89603 | + | 0.204732i | ||||
\(856\) | −0.130357 | − | 0.00683174i | −0.00445552 | − | 0.000233504i | ||||
\(857\) | −16.9132 | −0.577743 | −0.288872 | − | 0.957368i | \(-0.593280\pi\) | ||||
−0.288872 | + | 0.957368i | \(0.593280\pi\) | |||||||
\(858\) | 31.6696 | − | 3.08694i | 1.08118 | − | 0.105386i | ||||
\(859\) | 5.38216 | 0.183637 | 0.0918184 | − | 0.995776i | \(-0.470732\pi\) | ||||
0.0918184 | + | 0.995776i | \(0.470732\pi\) | |||||||
\(860\) | −4.98368 | − | 0.261183i | −0.169942 | − | 0.00890628i | ||||
\(861\) | 41.4925 | − | 41.3747i | 1.41406 | − | 1.41005i | ||||
\(862\) | 31.6951 | + | 3.33129i | 1.07954 | + | 0.113464i | ||||
\(863\) | −2.31414 | − | 1.17912i | −0.0787744 | − | 0.0401376i | 0.414160 | − | 0.910204i | \(-0.364076\pi\) |
−0.492934 | + | 0.870067i | \(0.664076\pi\) | |||||||
\(864\) | −9.08414 | + | 5.19321i | −0.309049 | + | 0.176677i | ||||
\(865\) | 37.6007 | + | 46.4330i | 1.27846 | + | 1.57877i | ||||
\(866\) | −45.4964 | − | 7.20592i | −1.54603 | − | 0.244867i | ||||
\(867\) | −11.6802 | + | 14.3820i | −0.396681 | + | 0.488439i | ||||
\(868\) | 4.99833 | + | 2.88579i | 0.169654 | + | 0.0979500i | ||||
\(869\) | 10.8824 | + | 17.8115i | 0.369159 | + | 0.604214i | ||||
\(870\) | −41.5397 | + | 33.5406i | −1.40833 | + | 1.13713i | ||||
\(871\) | 17.9076 | − | 6.24480i | 0.606776 | − | 0.211597i | ||||
\(872\) | −17.7396 | − | 24.4164i | −0.600737 | − | 0.826844i | ||||
\(873\) | 14.7275 | − | 22.5378i | 0.498450 | − | 0.762790i | ||||
\(874\) | 13.1778 | + | 2.80102i | 0.445745 | + | 0.0947460i | ||||
\(875\) | −13.3165 | + | 14.7894i | −0.450178 | + | 0.499974i | ||||
\(876\) | −1.75792 | − | 1.58737i | −0.0593946 | − | 0.0536322i | ||||
\(877\) | −1.69465 | − | 4.41472i | −0.0572244 | − | 0.149075i | 0.901988 | − | 0.431761i | \(-0.142108\pi\) |
−0.959212 | + | 0.282687i | \(0.908774\pi\) | |||||||
\(878\) | −5.51238 | − | 3.57978i | −0.186034 | − | 0.120812i | ||||
\(879\) | 15.2675 | + | 1.62662i | 0.514960 | + | 0.0548646i | ||||
\(880\) | −50.8051 | + | 9.34630i | −1.71264 | + | 0.315064i | ||||
\(881\) | 17.0452 | − | 29.5231i | 0.574267 | − | 0.994660i | −0.421854 | − | 0.906664i | \(-0.638620\pi\) |
0.996121 | − | 0.0879958i | \(-0.0280462\pi\) | |||||||
\(882\) | 35.8167 | + | 9.70626i | 1.20601 | + | 0.326827i | ||||
\(883\) | −16.4334 | − | 22.6186i | −0.553028 | − | 0.761178i | 0.437391 | − | 0.899271i | \(-0.355903\pi\) |
−0.990419 | + | 0.138093i | \(0.955903\pi\) | |||||||
\(884\) | −2.25529 | + | 2.35384i | −0.0758536 | + | 0.0791681i | ||||
\(885\) | −38.9398 | − | 25.3665i | −1.30895 | − | 0.852687i | ||||
\(886\) | 5.54110 | + | 8.53254i | 0.186157 | + | 0.286656i | ||||
\(887\) | 13.3760 | + | 30.0431i | 0.449123 | + | 1.00875i | 0.986252 | + | 0.165247i | \(0.0528423\pi\) |
−0.537129 | + | 0.843500i | \(0.680491\pi\) | |||||||
\(888\) | −29.6180 | + | 7.89103i | −0.993917 | + | 0.264806i | ||||
\(889\) | 15.5866 | − | 7.94175i | 0.522757 | − | 0.266358i | ||||
\(890\) | −8.24578 | − | 2.20945i | −0.276399 | − | 0.0740610i | ||||
\(891\) | −19.5445 | + | 22.5613i | −0.654766 | + | 0.755831i | ||||
\(892\) | 1.36639 | − | 1.36639i | 0.0457502 | − | 0.0457502i | ||||
\(893\) | 2.27309 | + | 10.6940i | 0.0760660 | + | 0.357862i | ||||
\(894\) | 14.2687 | − | 14.2282i | 0.477218 | − | 0.475863i | ||||
\(895\) | 2.24280 | − | 5.84270i | 0.0749686 | − | 0.195300i | ||||
\(896\) | −16.0403 | − | 49.3671i | −0.535870 | − | 1.64924i | ||||
\(897\) | −9.44377 | + | 3.27822i | −0.315318 | + | 0.109456i | ||||
\(898\) | 7.01148 | + | 5.09414i | 0.233976 | + | 0.169994i | ||||
\(899\) | −18.9850 | − | 15.3738i | −0.633187 | − | 0.512744i | ||||
\(900\) | −6.10269 | + | 3.50030i | −0.203423 | + | 0.116677i | ||||
\(901\) | 24.4176 | − | 14.0975i | 0.813469 | − | 0.469656i | ||||
\(902\) | 44.0579 | − | 5.74072i | 1.46697 | − | 0.191145i | ||||
\(903\) | −11.1275 | − | 25.0886i | −0.370299 | − | 0.834896i | ||||
\(904\) | 16.5427 | − | 25.4735i | 0.550202 | − | 0.847237i | ||||
\(905\) | 52.9978 | + | 8.39403i | 1.76171 | + | 0.279027i | ||||
\(906\) | −19.6236 | + | 12.7041i | −0.651950 | + | 0.422065i | ||||
\(907\) | 4.07313 | − | 19.1626i | 0.135246 | − | 0.636283i | −0.857341 | − | 0.514749i | \(-0.827885\pi\) |
0.992587 | − | 0.121535i | \(-0.0387815\pi\) | |||||||
\(908\) | −2.77878 | − | 4.27895i | −0.0922171 | − | 0.142002i | ||||
\(909\) | 18.4203 | − | 16.4912i | 0.610964 | − | 0.546978i | ||||
\(910\) | 16.6805 | + | 70.9792i | 0.552954 | + | 2.35294i | ||||
\(911\) | 26.5451 | + | 8.62503i | 0.879479 | + | 0.285760i | 0.713741 | − | 0.700410i | \(-0.246999\pi\) |
0.165738 | + | 0.986170i | \(0.446999\pi\) | |||||||
\(912\) | −25.6534 | + | 35.2035i | −0.849469 | + | 1.16571i | ||||
\(913\) | 18.7111 | − | 7.72126i | 0.619248 | − | 0.255536i | ||||
\(914\) | −12.5190 | − | 21.6836i | −0.414093 | − | 0.717230i | ||||
\(915\) | 64.3146 | + | 28.7443i | 2.12618 | + | 0.950257i | ||||
\(916\) | 1.76276 | + | 4.59216i | 0.0582434 | + | 0.151729i | ||||
\(917\) | −32.2186 | + | 26.0901i | −1.06395 | + | 0.861572i | ||||
\(918\) | 0.0854546 | − | 20.0412i | 0.00282042 | − | 0.661457i | ||||
\(919\) | 20.5927 | − | 22.8706i | 0.679292 | − | 0.754430i | −0.300645 | − | 0.953736i | \(-0.597202\pi\) |
0.979937 | + | 0.199306i | \(0.0638687\pi\) | |||||||
\(920\) | 12.4997 | − | 5.56523i | 0.412103 | − | 0.183480i | ||||
\(921\) | 25.5070 | + | 0.0362534i | 0.840485 | + | 0.00119459i | ||||
\(922\) | −6.91577 | − | 2.24707i | −0.227759 | − | 0.0740033i | ||||
\(923\) | 3.77437 | + | 29.7733i | 0.124235 | + | 0.980001i | ||||
\(924\) | 4.86842 | + | 6.38093i | 0.160159 | + | 0.209917i | ||||
\(925\) | −44.1833 | + | 11.8389i | −1.45274 | + | 0.389260i | ||||
\(926\) | −0.703763 | + | 0.633671i | −0.0231271 | + | 0.0208237i | ||||
\(927\) | −25.8257 | − | 18.8759i | −0.848227 | − | 0.619965i | ||||
\(928\) | −1.86295 | − | 11.7622i | −0.0611543 | − | 0.386113i | ||||
\(929\) | −0.739033 | − | 14.1016i | −0.0242469 | − | 0.462658i | −0.983590 | − | 0.180417i | \(-0.942255\pi\) |
0.959343 | − | 0.282241i | \(-0.0910779\pi\) | |||||||
\(930\) | −24.9157 | − | 27.7509i | −0.817019 | − | 0.909989i | ||||
\(931\) | 43.5669 | − | 6.90033i | 1.42785 | − | 0.226149i | ||||
\(932\) | 2.24543 | − | 5.04332i | 0.0735515 | − | 0.165199i | ||||
\(933\) | 16.8989 | + | 2.70115i | 0.553245 | + | 0.0884317i | ||||
\(934\) | −12.1070 | − | 45.1838i | −0.396152 | − | 1.47846i | ||||
\(935\) | 9.46607 | − | 26.6188i | 0.309574 | − | 0.870528i | ||||
\(936\) | 2.34565 | − | 27.1491i | 0.0766699 | − | 0.887398i | ||||
\(937\) | −13.0285 | + | 40.0975i | −0.425621 | + | 1.30993i | 0.476777 | + | 0.879025i | \(0.341805\pi\) |
−0.902398 | + | 0.430904i | \(0.858195\pi\) | |||||||
\(938\) | 24.3640 | + | 19.7296i | 0.795513 | + | 0.644193i | ||||
\(939\) | 8.47521 | − | 16.5752i | 0.276578 | − | 0.540913i | ||||
\(940\) | −1.81211 | − | 1.63164i | −0.0591047 | − | 0.0532181i | ||||
\(941\) | −31.7516 | − | 16.1782i | −1.03507 | − | 0.527395i | −0.147980 | − | 0.988990i | \(-0.547277\pi\) |
−0.887091 | + | 0.461595i | \(0.847277\pi\) | |||||||
\(942\) | 13.7725 | + | 2.94791i | 0.448733 | + | 0.0960480i | ||||
\(943\) | −13.0312 | + | 5.00223i | −0.424356 | + | 0.162895i | ||||
\(944\) | 32.3457 | − | 16.4810i | 1.05276 | − | 0.536409i | ||||
\(945\) | −57.2045 | − | 37.4968i | −1.86086 | − | 1.21977i | ||||
\(946\) | 4.88503 | − | 20.2290i | 0.158826 | − | 0.657703i | ||||
\(947\) | −36.3910 | + | 9.75095i | −1.18255 | + | 0.316863i | −0.795937 | − | 0.605379i | \(-0.793021\pi\) |
−0.386612 | + | 0.922242i | \(0.626355\pi\) | |||||||
\(948\) | −3.66681 | + | 1.40158i | −0.119092 | + | 0.0455211i | ||||
\(949\) | 13.3281 | − | 3.13217i | 0.432647 | − | 0.101674i | ||||
\(950\) | −32.2139 | + | 44.3386i | −1.04516 | + | 1.43853i | ||||
\(951\) | 12.2053 | − | 37.3833i | 0.395786 | − | 1.21224i | ||||
\(952\) | 24.0023 | + | 5.10184i | 0.777918 | + | 0.165352i | ||||
\(953\) | −6.05572 | + | 57.6164i | −0.196164 | + | 1.86638i | 0.245769 | + | 0.969329i | \(0.420960\pi\) |
−0.441933 | + | 0.897048i | \(0.645707\pi\) | |||||||
\(954\) | 18.6860 | − | 48.2680i | 0.604980 | − | 1.56274i | ||||
\(955\) | 10.0955 | + | 6.55613i | 0.326684 | + | 0.212151i | ||||
\(956\) | −0.791863 | + | 2.95527i | −0.0256107 | + | 0.0955803i | ||||
\(957\) | −16.1277 | − | 29.8994i | −0.521335 | − | 0.966511i | ||||
\(958\) | −19.3753 | − | 33.5590i | −0.625988 | − | 1.08424i | ||||
\(959\) | 19.3998 | + | 21.5457i | 0.626452 | + | 0.695746i | ||||
\(960\) | −0.0508460 | + | 35.7740i | −0.00164105 | + | 1.15460i | ||||
\(961\) | −8.19101 | + | 11.2740i | −0.264226 | + | 0.363676i | ||||
\(962\) | −13.1640 | + | 36.6143i | −0.424425 | + | 1.18049i | ||||
\(963\) | −0.0158088 | − | 0.154638i | −0.000509432 | − | 0.00498314i | ||||
\(964\) | 2.71195 | + | 1.04102i | 0.0873462 | + | 0.0335291i | ||||
\(965\) | −42.6538 | + | 4.48309i | −1.37307 | + | 0.144316i | ||||
\(966\) | −12.8275 | − | 10.4177i | −0.412717 | − | 0.335184i | ||||
\(967\) | −10.5090 | − | 10.5090i | −0.337947 | − | 0.337947i | 0.517647 | − | 0.855594i | \(-0.326808\pi\) |
−0.855594 | + | 0.517647i | \(0.826808\pi\) | |||||||
\(968\) | 0.0737178 | − | 27.7121i | 0.00236938 | − | 0.890700i | ||||
\(969\) | −9.65859 | − | 21.7768i | −0.310279 | − | 0.699572i | ||||
\(970\) | 21.2369 | + | 41.6797i | 0.681875 | + | 1.33825i | ||||
\(971\) | 9.92575 | − | 22.2936i | 0.318533 | − | 0.715436i | −0.681331 | − | 0.731976i | \(-0.738598\pi\) |
0.999863 | + | 0.0165399i | \(0.00526506\pi\) | |||||||
\(972\) | −3.50178 | − | 4.38774i | −0.112320 | − | 0.140737i | ||||
\(973\) | −75.3052 | + | 48.9038i | −2.41418 | + | 1.56778i | ||||
\(974\) | −6.27575 | − | 19.3148i | −0.201088 | − | 0.618885i | ||||
\(975\) | 3.44291 | − | 40.5206i | 0.110261 | − | 1.29770i | ||||
\(976\) | −44.5189 | + | 32.3449i | −1.42502 | + | 1.03533i | ||||
\(977\) | −49.2755 | − | 2.58242i | −1.57646 | − | 0.0826189i | −0.756098 | − | 0.654459i | \(-0.772897\pi\) |
−0.820365 | + | 0.571840i | \(0.806230\pi\) | |||||||
\(978\) | −18.1004 | + | 2.84045i | −0.578787 | + | 0.0908277i | ||||
\(979\) | 2.34497 | − | 4.89955i | 0.0749456 | − | 0.156590i | ||||
\(980\) | −6.95660 | + | 6.95660i | −0.222220 | + | 0.222220i | ||||
\(981\) | 25.4849 | − | 25.3404i | 0.813671 | − | 0.809058i | ||||
\(982\) | −14.1552 | + | 5.43369i | −0.451712 | + | 0.173396i | ||||
\(983\) | −8.47238 | − | 53.4925i | −0.270227 | − | 1.70615i | −0.632904 | − | 0.774230i | \(-0.718137\pi\) |
0.362677 | − | 0.931915i | \(-0.381863\pi\) | |||||||
\(984\) | 2.04539 | − | 37.9949i | 0.0652045 | − | 1.21123i | ||||
\(985\) | −5.13690 | + | 24.1672i | −0.163675 | + | 0.770031i | ||||
\(986\) | 21.2940 | + | 8.17401i | 0.678140 | + | 0.260313i | ||||
\(987\) | 3.48925 | − | 12.9484i | 0.111064 | − | 0.412153i | ||||
\(988\) | 2.34227 | + | 6.71670i | 0.0745176 | + | 0.213687i | ||||
\(989\) | 6.53790i | 0.207893i | ||||||||
\(990\) | −17.1081 | − | 48.9601i | −0.543731 | − | 1.55605i | ||||
\(991\) | −9.74270 | + | 16.8749i | −0.309487 | + | 0.536047i | −0.978250 | − | 0.207428i | \(-0.933491\pi\) |
0.668763 | + | 0.743475i | \(0.266824\pi\) | |||||||
\(992\) | 8.13692 | − | 1.72956i | 0.258348 | − | 0.0549135i | ||||
\(993\) | −38.2316 | + | 22.0006i | −1.21324 | + | 0.698168i | ||||
\(994\) | −38.5549 | + | 31.2212i | −1.22289 | + | 0.990275i | ||||
\(995\) | −52.9583 | + | 2.77543i | −1.67889 | + | 0.0879870i | ||||
\(996\) | 0.786191 | + | 3.72476i | 0.0249114 | + | 0.118024i | ||||
\(997\) | −1.47633 | + | 14.0463i | −0.0467558 | + | 0.444852i | 0.945952 | + | 0.324306i | \(0.105131\pi\) |
−0.992708 | + | 0.120545i | \(0.961536\pi\) | |||||||
\(998\) | −1.92161 | − | 18.2829i | −0.0608275 | − | 0.578735i | ||||
\(999\) | −14.7035 | − | 33.4072i | −0.465198 | − | 1.05696i |
(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 | 429.2.bv.a.20.12 | ✓ | 832 | |
3.2 | odd | 2 | inner | 429.2.bv.a.20.41 | yes | 832 | |
11.5 | even | 5 | inner | 429.2.bv.a.137.41 | yes | 832 | |
13.2 | odd | 12 | inner | 429.2.bv.a.119.12 | yes | 832 | |
33.5 | odd | 10 | inner | 429.2.bv.a.137.12 | yes | 832 | |
39.2 | even | 12 | inner | 429.2.bv.a.119.41 | yes | 832 | |
143.93 | odd | 60 | inner | 429.2.bv.a.236.41 | yes | 832 | |
429.236 | even | 60 | inner | 429.2.bv.a.236.12 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bv.a.20.12 | ✓ | 832 | 1.1 | even | 1 | trivial | |
429.2.bv.a.20.41 | yes | 832 | 3.2 | odd | 2 | inner | |
429.2.bv.a.119.12 | yes | 832 | 13.2 | odd | 12 | inner | |
429.2.bv.a.119.41 | yes | 832 | 39.2 | even | 12 | inner | |
429.2.bv.a.137.12 | yes | 832 | 33.5 | odd | 10 | inner | |
429.2.bv.a.137.41 | yes | 832 | 11.5 | even | 5 | inner | |
429.2.bv.a.236.12 | yes | 832 | 429.236 | even | 60 | inner | |
429.2.bv.a.236.41 | yes | 832 | 143.93 | odd | 60 | inner |