Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(5,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.f (of order \(22\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 138.11 |
Dual form | 138.2.f.a.113.2 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.540641 | − | 0.841254i | −0.382291 | − | 0.594856i | ||||
\(3\) | 0.0700914 | + | 1.73063i | 0.0404673 | + | 0.999181i | ||||
\(4\) | −0.415415 | + | 0.909632i | −0.207708 | + | 0.454816i | ||||
\(5\) | −3.21268 | + | 0.943327i | −1.43675 | + | 0.421869i | −0.905138 | − | 0.425117i | \(-0.860233\pi\) |
−0.531615 | + | 0.846986i | \(0.678415\pi\) | |||||||
\(6\) | 1.41801 | − | 0.994615i | 0.578899 | − | 0.406050i | ||||
\(7\) | −1.80758 | + | 1.56628i | −0.683202 | + | 0.591998i | −0.925747 | − | 0.378142i | \(-0.876563\pi\) |
0.242546 | + | 0.970140i | \(0.422018\pi\) | |||||||
\(8\) | 0.989821 | − | 0.142315i | 0.349955 | − | 0.0503159i | ||||
\(9\) | −2.99017 | + | 0.242605i | −0.996725 | + | 0.0808683i | ||||
\(10\) | 2.53048 | + | 2.19268i | 0.800209 | + | 0.693385i | ||||
\(11\) | 0.146746 | + | 0.0943077i | 0.0442455 | + | 0.0284348i | 0.562577 | − | 0.826745i | \(-0.309810\pi\) |
−0.518331 | + | 0.855180i | \(0.673447\pi\) | |||||||
\(12\) | −1.60336 | − | 0.655173i | −0.462849 | − | 0.189132i | ||||
\(13\) | 0.435504 | − | 0.502599i | 0.120787 | − | 0.139396i | −0.692135 | − | 0.721768i | \(-0.743330\pi\) |
0.812922 | + | 0.582372i | \(0.197875\pi\) | |||||||
\(14\) | 2.29489 | + | 0.673841i | 0.613335 | + | 0.180091i | ||||
\(15\) | −1.85773 | − | 5.49384i | −0.479665 | − | 1.41850i | ||||
\(16\) | −0.654861 | − | 0.755750i | −0.163715 | − | 0.188937i | ||||
\(17\) | 1.46011 | + | 3.19721i | 0.354130 | + | 0.775436i | 0.999929 | + | 0.0119287i | \(0.00379712\pi\) |
−0.645799 | + | 0.763507i | \(0.723476\pi\) | |||||||
\(18\) | 1.82070 | + | 2.38433i | 0.429144 | + | 0.561993i | ||||
\(19\) | 6.08977 | + | 2.78111i | 1.39709 | + | 0.638029i | 0.964626 | − | 0.263622i | \(-0.0849173\pi\) |
0.432463 | + | 0.901652i | \(0.357645\pi\) | |||||||
\(20\) | 0.476514 | − | 3.31423i | 0.106552 | − | 0.741084i | ||||
\(21\) | −2.83735 | − | 3.01848i | −0.619160 | − | 0.658686i | ||||
\(22\) | − | 0.174437i | − | 0.0371901i | ||||||
\(23\) | 2.56678 | + | 4.05113i | 0.535211 | + | 0.844719i | ||||
\(24\) | 0.315673 | + | 1.70304i | 0.0644364 | + | 0.347632i | ||||
\(25\) | 5.22517 | − | 3.35801i | 1.04503 | − | 0.671602i | ||||
\(26\) | −0.658264 | − | 0.0946441i | −0.129096 | − | 0.0185612i | ||||
\(27\) | −0.629445 | − | 5.15789i | −0.121137 | − | 0.992636i | ||||
\(28\) | −0.673841 | − | 2.29489i | −0.127344 | − | 0.433693i | ||||
\(29\) | −5.54968 | + | 2.53446i | −1.03055 | + | 0.470636i | −0.857613 | − | 0.514296i | \(-0.828053\pi\) |
−0.172938 | + | 0.984933i | \(0.555326\pi\) | |||||||
\(30\) | −3.61735 | + | 4.53302i | −0.660435 | + | 0.827613i | ||||
\(31\) | −1.22988 | − | 8.55402i | −0.220893 | − | 1.53635i | −0.734671 | − | 0.678423i | \(-0.762664\pi\) |
0.513778 | − | 0.857923i | \(-0.328246\pi\) | |||||||
\(32\) | −0.281733 | + | 0.959493i | −0.0498038 | + | 0.169616i | ||||
\(33\) | −0.152926 | + | 0.260573i | −0.0266211 | + | 0.0453599i | ||||
\(34\) | 1.90026 | − | 2.95687i | 0.325892 | − | 0.507098i | ||||
\(35\) | 4.32967 | − | 6.73709i | 0.731847 | − | 1.13878i | ||||
\(36\) | 1.02148 | − | 2.82074i | 0.170247 | − | 0.470123i | ||||
\(37\) | −2.59752 | + | 8.84635i | −0.427030 | + | 1.45433i | 0.412470 | + | 0.910971i | \(0.364666\pi\) |
−0.839500 | + | 0.543360i | \(0.817152\pi\) | |||||||
\(38\) | −0.952764 | − | 6.62662i | −0.154559 | − | 1.07498i | ||||
\(39\) | 0.900339 | + | 0.718470i | 0.144170 | + | 0.115047i | ||||
\(40\) | −3.04573 | + | 1.39094i | −0.481572 | + | 0.219927i | ||||
\(41\) | −0.791908 | − | 2.69699i | −0.123675 | − | 0.421199i | 0.874258 | − | 0.485462i | \(-0.161349\pi\) |
−0.997933 | + | 0.0642628i | \(0.979530\pi\) | |||||||
\(42\) | −1.00532 | + | 4.01884i | −0.155124 | + | 0.620121i | ||||
\(43\) | −5.73482 | − | 0.824543i | −0.874552 | − | 0.125742i | −0.309601 | − | 0.950866i | \(-0.600196\pi\) |
−0.564950 | + | 0.825125i | \(0.691105\pi\) | |||||||
\(44\) | −0.146746 | + | 0.0943077i | −0.0221227 | + | 0.0142174i | ||||
\(45\) | 9.37761 | − | 3.60013i | 1.39793 | − | 0.536675i | ||||
\(46\) | 2.02032 | − | 4.34952i | 0.297880 | − | 0.641301i | ||||
\(47\) | − | 7.88048i | − | 1.14949i | −0.818334 | − | 0.574743i | \(-0.805102\pi\) | ||
0.818334 | − | 0.574743i | \(-0.194898\pi\) | |||||||
\(48\) | 1.26202 | − | 1.18629i | 0.182158 | − | 0.171227i | ||||
\(49\) | −0.182080 | + | 1.26640i | −0.0260115 | + | 0.180914i | ||||
\(50\) | −5.64988 | − | 2.58021i | −0.799013 | − | 0.364897i | ||||
\(51\) | −5.43084 | + | 2.75102i | −0.760470 | + | 0.385220i | ||||
\(52\) | 0.276265 | + | 0.604936i | 0.0383111 | + | 0.0838895i | ||||
\(53\) | 7.73902 | + | 8.93131i | 1.06304 | + | 1.22681i | 0.972984 | + | 0.230873i | \(0.0741581\pi\) |
0.0900527 | + | 0.995937i | \(0.471296\pi\) | |||||||
\(54\) | −3.99879 | + | 3.31809i | −0.544166 | + | 0.451534i | ||||
\(55\) | −0.560410 | − | 0.164551i | −0.0755656 | − | 0.0221881i | ||||
\(56\) | −1.56628 | + | 1.80758i | −0.209303 | + | 0.241548i | ||||
\(57\) | −4.38623 | + | 10.7341i | −0.580970 | + | 1.42176i | ||||
\(58\) | 5.13250 | + | 3.29846i | 0.673931 | + | 0.433109i | ||||
\(59\) | 7.68344 | + | 6.65774i | 1.00030 | + | 0.866764i | 0.991090 | − | 0.133193i | \(-0.0425231\pi\) |
0.00920920 | + | 0.999958i | \(0.497069\pi\) | |||||||
\(60\) | 5.76911 | + | 0.592371i | 0.744789 | + | 0.0764748i | ||||
\(61\) | −0.619733 | + | 0.0891041i | −0.0793486 | + | 0.0114086i | −0.181875 | − | 0.983322i | \(-0.558217\pi\) |
0.102526 | + | 0.994730i | \(0.467307\pi\) | |||||||
\(62\) | −6.53117 | + | 5.65929i | −0.829460 | + | 0.718731i | ||||
\(63\) | 5.02500 | − | 5.12197i | 0.633090 | − | 0.645308i | ||||
\(64\) | 0.959493 | − | 0.281733i | 0.119937 | − | 0.0352166i | ||||
\(65\) | −0.925020 | + | 2.02551i | −0.114735 | + | 0.251234i | ||||
\(66\) | 0.301886 | − | 0.0122265i | 0.0371596 | − | 0.00150498i | ||||
\(67\) | 4.04398 | + | 6.29256i | 0.494051 | + | 0.768759i | 0.995330 | − | 0.0965269i | \(-0.0307734\pi\) |
−0.501279 | + | 0.865286i | \(0.667137\pi\) | |||||||
\(68\) | −3.51483 | −0.426236 | ||||||||
\(69\) | −6.83110 | + | 4.72610i | −0.822368 | + | 0.568956i | ||||
\(70\) | −8.00840 | −0.957186 | ||||||||
\(71\) | −2.12838 | − | 3.31183i | −0.252593 | − | 0.393042i | 0.691681 | − | 0.722203i | \(-0.256870\pi\) |
−0.944274 | + | 0.329161i | \(0.893234\pi\) | |||||||
\(72\) | −2.92521 | + | 0.665682i | −0.344740 | + | 0.0784513i | ||||
\(73\) | −2.52644 | + | 5.53213i | −0.295697 | + | 0.647487i | −0.997920 | − | 0.0644710i | \(-0.979464\pi\) |
0.702222 | + | 0.711958i | \(0.252191\pi\) | |||||||
\(74\) | 8.84635 | − | 2.59752i | 1.02837 | − | 0.301956i | ||||
\(75\) | 6.17772 | + | 8.80747i | 0.713342 | + | 1.01700i | ||||
\(76\) | −5.05956 | + | 4.38414i | −0.580372 | + | 0.502895i | ||||
\(77\) | −0.412967 | + | 0.0593757i | −0.0470619 | + | 0.00676649i | ||||
\(78\) | 0.117656 | − | 1.14585i | 0.0133219 | − | 0.129742i | ||||
\(79\) | −3.93306 | − | 3.40802i | −0.442504 | − | 0.383432i | 0.404917 | − | 0.914354i | \(-0.367300\pi\) |
−0.847421 | + | 0.530921i | \(0.821846\pi\) | |||||||
\(80\) | 2.81678 | + | 1.81023i | 0.314925 | + | 0.202390i | ||||
\(81\) | 8.88229 | − | 1.45086i | 0.986921 | − | 0.161207i | ||||
\(82\) | −1.84072 | + | 2.12430i | −0.203273 | + | 0.234590i | ||||
\(83\) | 11.4071 | + | 3.34943i | 1.25209 | + | 0.367648i | 0.839547 | − | 0.543288i | \(-0.182821\pi\) |
0.412548 | + | 0.910936i | \(0.364639\pi\) | |||||||
\(84\) | 3.92438 | − | 1.32702i | 0.428185 | − | 0.144790i | ||||
\(85\) | −7.70689 | − | 8.89423i | −0.835930 | − | 0.964714i | ||||
\(86\) | 2.40683 | + | 5.27022i | 0.259535 | + | 0.568302i | ||||
\(87\) | −4.77519 | − | 9.42681i | −0.511955 | − | 1.01066i | ||||
\(88\) | 0.158673 | + | 0.0724637i | 0.0169146 | + | 0.00772466i | ||||
\(89\) | 2.16027 | − | 15.0250i | 0.228988 | − | 1.59265i | −0.473398 | − | 0.880849i | \(-0.656973\pi\) |
0.702386 | − | 0.711797i | \(-0.252118\pi\) | |||||||
\(90\) | −8.09854 | − | 5.94258i | −0.853661 | − | 0.626402i | ||||
\(91\) | 1.59061i | 0.166741i | ||||||||
\(92\) | −4.75131 | + | 0.651925i | −0.495359 | + | 0.0679679i | ||||
\(93\) | 14.7177 | − | 2.72804i | 1.52615 | − | 0.282884i | ||||
\(94\) | −6.62948 | + | 4.26051i | −0.683779 | + | 0.439438i | ||||
\(95\) | −22.1880 | − | 3.19015i | −2.27644 | − | 0.327302i | ||||
\(96\) | −1.68028 | − | 0.420323i | −0.171492 | − | 0.0428991i | ||||
\(97\) | −1.10459 | − | 3.76189i | −0.112154 | − | 0.381962i | 0.884217 | − | 0.467076i | \(-0.154693\pi\) |
−0.996371 | + | 0.0851145i | \(0.972874\pi\) | |||||||
\(98\) | 1.16380 | − | 0.531490i | 0.117562 | − | 0.0536886i | ||||
\(99\) | −0.461675 | − | 0.246395i | −0.0464000 | − | 0.0247637i | ||||
\(100\) | 0.883941 | + | 6.14795i | 0.0883941 | + | 0.614795i | ||||
\(101\) | −3.77413 | + | 12.8535i | −0.375540 | + | 1.27897i | 0.527551 | + | 0.849523i | \(0.323110\pi\) |
−0.903091 | + | 0.429449i | \(0.858708\pi\) | |||||||
\(102\) | 5.25044 | + | 3.08140i | 0.519871 | + | 0.305104i | ||||
\(103\) | −0.709786 | + | 1.10445i | −0.0699373 | + | 0.108825i | −0.874461 | − | 0.485096i | \(-0.838784\pi\) |
0.804523 | + | 0.593921i | \(0.202421\pi\) | |||||||
\(104\) | 0.359544 | − | 0.559462i | 0.0352562 | − | 0.0548597i | ||||
\(105\) | 11.9629 | + | 7.02085i | 1.16746 | + | 0.685164i | ||||
\(106\) | 3.32946 | − | 11.3391i | 0.323386 | − | 1.10135i | ||||
\(107\) | −0.295739 | − | 2.05691i | −0.0285902 | − | 0.198849i | 0.970520 | − | 0.241020i | \(-0.0774818\pi\) |
−0.999110 | + | 0.0421705i | \(0.986573\pi\) | |||||||
\(108\) | 4.95326 | + | 1.57010i | 0.476628 | + | 0.151083i | ||||
\(109\) | 2.64483 | − | 1.20785i | 0.253328 | − | 0.115691i | −0.284704 | − | 0.958616i | \(-0.591895\pi\) |
0.538032 | + | 0.842924i | \(0.319168\pi\) | |||||||
\(110\) | 0.164551 | + | 0.560410i | 0.0156893 | + | 0.0534330i | ||||
\(111\) | −15.4918 | − | 3.87530i | −1.47042 | − | 0.367828i | ||||
\(112\) | 2.36743 | + | 0.340385i | 0.223701 | + | 0.0321633i | ||||
\(113\) | −8.75523 | + | 5.62665i | −0.823623 | + | 0.529310i | −0.883246 | − | 0.468911i | \(-0.844647\pi\) |
0.0596226 | + | 0.998221i | \(0.481010\pi\) | |||||||
\(114\) | 11.4015 | − | 2.11335i | 1.06784 | − | 0.197934i | ||||
\(115\) | −12.0678 | − | 10.5937i | −1.12533 | − | 0.987864i | ||||
\(116\) | − | 6.10102i | − | 0.566465i | ||||||
\(117\) | −1.18030 | + | 1.60851i | −0.109119 | + | 0.148707i | ||||
\(118\) | 1.44687 | − | 10.0632i | 0.133195 | − | 0.926390i | ||||
\(119\) | −7.64699 | − | 3.49226i | −0.700999 | − | 0.320135i | ||||
\(120\) | −2.62068 | − | 5.17354i | −0.239234 | − | 0.472278i | ||||
\(121\) | −4.55692 | − | 9.97827i | −0.414266 | − | 0.907116i | ||||
\(122\) | 0.410012 | + | 0.473179i | 0.0371207 | + | 0.0428396i | ||||
\(123\) | 4.61199 | − | 1.55954i | 0.415849 | − | 0.140619i | ||||
\(124\) | 8.29192 | + | 2.43473i | 0.744636 | + | 0.218645i | ||||
\(125\) | −2.65570 | + | 3.06484i | −0.237533 | + | 0.274128i | ||||
\(126\) | −7.02560 | − | 1.45815i | −0.625890 | − | 0.129902i | ||||
\(127\) | 18.2002 | + | 11.6965i | 1.61500 | + | 1.03790i | 0.959105 | + | 0.283051i | \(0.0913464\pi\) |
0.655898 | + | 0.754849i | \(0.272290\pi\) | |||||||
\(128\) | −0.755750 | − | 0.654861i | −0.0667995 | − | 0.0578821i | ||||
\(129\) | 1.02502 | − | 9.98265i | 0.0902478 | − | 0.878924i | ||||
\(130\) | 2.20407 | − | 0.316898i | 0.193310 | − | 0.0277938i | ||||
\(131\) | 7.69051 | − | 6.66386i | 0.671923 | − | 0.582224i | −0.250636 | − | 0.968081i | \(-0.580640\pi\) |
0.922559 | + | 0.385857i | \(0.126094\pi\) | |||||||
\(132\) | −0.173498 | − | 0.247353i | −0.0151010 | − | 0.0215293i | ||||
\(133\) | −15.3637 | + | 4.51120i | −1.33221 | + | 0.391171i | ||||
\(134\) | 3.10730 | − | 6.80403i | 0.268430 | − | 0.587779i | ||||
\(135\) | 6.88778 | + | 15.9769i | 0.592806 | + | 1.37507i | ||||
\(136\) | 1.90026 | + | 2.95687i | 0.162946 | + | 0.253549i | ||||
\(137\) | 10.2876 | 0.878926 | 0.439463 | − | 0.898261i | \(-0.355169\pi\) | ||||
0.439463 | + | 0.898261i | \(0.355169\pi\) | |||||||
\(138\) | 7.66902 | + | 3.19157i | 0.652830 | + | 0.271684i | ||||
\(139\) | 2.55486 | 0.216700 | 0.108350 | − | 0.994113i | \(-0.465443\pi\) | ||||
0.108350 | + | 0.994113i | \(0.465443\pi\) | |||||||
\(140\) | 4.32967 | + | 6.73709i | 0.365924 | + | 0.569388i | ||||
\(141\) | 13.6382 | − | 0.552354i | 1.14855 | − | 0.0465166i | ||||
\(142\) | −1.63540 | + | 3.58102i | −0.137240 | + | 0.300513i | ||||
\(143\) | 0.111307 | − | 0.0326828i | 0.00930798 | − | 0.00273307i | ||||
\(144\) | 2.14150 | + | 2.10095i | 0.178458 | + | 0.175079i | ||||
\(145\) | 15.4385 | − | 13.3776i | 1.28210 | − | 1.11095i | ||||
\(146\) | 6.01982 | − | 0.865519i | 0.498204 | − | 0.0716309i | ||||
\(147\) | −2.20443 | − | 0.226350i | −0.181818 | − | 0.0186691i | ||||
\(148\) | −6.96787 | − | 6.03770i | −0.572756 | − | 0.496296i | ||||
\(149\) | −15.3258 | − | 9.84932i | −1.25554 | − | 0.806888i | −0.267875 | − | 0.963454i | \(-0.586321\pi\) |
−0.987668 | + | 0.156566i | \(0.949958\pi\) | |||||||
\(150\) | 4.06939 | − | 9.95871i | 0.332264 | − | 0.813125i | ||||
\(151\) | 4.64937 | − | 5.36566i | 0.378360 | − | 0.436651i | −0.534347 | − | 0.845265i | \(-0.679442\pi\) |
0.912707 | + | 0.408614i | \(0.133988\pi\) | |||||||
\(152\) | 6.42358 | + | 1.88613i | 0.521021 | + | 0.152986i | ||||
\(153\) | −5.14166 | − | 9.20597i | −0.415678 | − | 0.744259i | ||||
\(154\) | 0.273217 | + | 0.315309i | 0.0220164 | + | 0.0254083i | ||||
\(155\) | 12.0205 | + | 26.3211i | 0.965506 | + | 2.11416i | ||||
\(156\) | −1.02756 | + | 0.520514i | −0.0822704 | + | 0.0416745i | ||||
\(157\) | 1.56422 | + | 0.714356i | 0.124838 | + | 0.0570118i | 0.476855 | − | 0.878982i | \(-0.341777\pi\) |
−0.352017 | + | 0.935994i | \(0.614504\pi\) | |||||||
\(158\) | −0.740633 | + | 5.15122i | −0.0589216 | + | 0.409809i | ||||
\(159\) | −14.9144 | + | 14.0194i | −1.18279 | + | 1.11181i | ||||
\(160\) | − | 3.34831i | − | 0.264707i | ||||||
\(161\) | −10.9849 | − | 3.30245i | −0.865728 | − | 0.260270i | ||||
\(162\) | −6.02267 | − | 6.68786i | −0.473186 | − | 0.525448i | ||||
\(163\) | −0.837342 | + | 0.538127i | −0.0655857 | + | 0.0421494i | −0.573023 | − | 0.819539i | \(-0.694229\pi\) |
0.507437 | + | 0.861689i | \(0.330593\pi\) | |||||||
\(164\) | 2.78224 | + | 0.400026i | 0.217256 | + | 0.0312368i | ||||
\(165\) | 0.245498 | − | 0.981396i | 0.0191120 | − | 0.0764016i | ||||
\(166\) | −3.34943 | − | 11.4071i | −0.259966 | − | 0.885365i | ||||
\(167\) | 10.0742 | − | 4.60072i | 0.779563 | − | 0.356014i | 0.0144375 | − | 0.999896i | \(-0.495404\pi\) |
0.765125 | + | 0.643881i | \(0.222677\pi\) | |||||||
\(168\) | −3.23804 | − | 2.58396i | −0.249820 | − | 0.199357i | ||||
\(169\) | 1.78715 | + | 12.4299i | 0.137473 | + | 0.956147i | ||||
\(170\) | −3.31564 | + | 11.2920i | −0.254298 | + | 0.866059i | ||||
\(171\) | −18.8842 | − | 6.83858i | −1.44411 | − | 0.522959i | ||||
\(172\) | 3.13236 | − | 4.87405i | 0.238840 | − | 0.371643i | ||||
\(173\) | 1.30865 | − | 2.03629i | 0.0994945 | − | 0.154817i | −0.787937 | − | 0.615755i | \(-0.788851\pi\) |
0.887432 | + | 0.460939i | \(0.152487\pi\) | |||||||
\(174\) | −5.34868 | + | 9.11367i | −0.405482 | + | 0.690906i | ||||
\(175\) | −4.18534 | + | 14.2539i | −0.316382 | + | 1.07750i | ||||
\(176\) | −0.0248250 | − | 0.172661i | −0.00187125 | − | 0.0130148i | ||||
\(177\) | −10.9836 | + | 13.7639i | −0.825575 | + | 1.03456i | ||||
\(178\) | −13.8078 | + | 6.30579i | −1.03493 | + | 0.472639i | ||||
\(179\) | 3.56599 | + | 12.1447i | 0.266535 | + | 0.907734i | 0.978626 | + | 0.205647i | \(0.0659299\pi\) |
−0.712092 | + | 0.702087i | \(0.752252\pi\) | |||||||
\(180\) | −0.620812 | + | 10.0257i | −0.0462726 | + | 0.747273i | ||||
\(181\) | −9.15702 | − | 1.31658i | −0.680636 | − | 0.0978607i | −0.206679 | − | 0.978409i | \(-0.566266\pi\) |
−0.473957 | + | 0.880548i | \(0.657175\pi\) | |||||||
\(182\) | 1.33811 | − | 0.859949i | 0.0991870 | − | 0.0637436i | ||||
\(183\) | −0.197644 | − | 1.06628i | −0.0146103 | − | 0.0788220i | ||||
\(184\) | 3.11719 | + | 3.64460i | 0.229802 | + | 0.268684i | ||||
\(185\) | − | 30.8708i | − | 2.26967i | ||||||
\(186\) | −10.2519 | − | 10.9064i | −0.751708 | − | 0.799695i | ||||
\(187\) | −0.0872556 | + | 0.606876i | −0.00638076 | + | 0.0443792i | ||||
\(188\) | 7.16834 | + | 3.27367i | 0.522805 | + | 0.238757i | ||||
\(189\) | 9.21646 | + | 8.33742i | 0.670399 | + | 0.606458i | ||||
\(190\) | 9.31200 | + | 20.3904i | 0.675563 | + | 1.47928i | ||||
\(191\) | −0.963220 | − | 1.11162i | −0.0696962 | − | 0.0804337i | 0.719831 | − | 0.694150i | \(-0.244219\pi\) |
−0.789527 | + | 0.613716i | \(0.789674\pi\) | |||||||
\(192\) | 0.554828 | + | 1.64078i | 0.0400412 | + | 0.118413i | ||||
\(193\) | 5.88402 | + | 1.72770i | 0.423541 | + | 0.124363i | 0.486555 | − | 0.873650i | \(-0.338253\pi\) |
−0.0630142 | + | 0.998013i | \(0.520071\pi\) | |||||||
\(194\) | −2.56751 | + | 2.96307i | −0.184337 | + | 0.212736i | ||||
\(195\) | −3.57025 | − | 1.45890i | −0.255671 | − | 0.104474i | ||||
\(196\) | −1.07632 | − | 0.691706i | −0.0768797 | − | 0.0494076i | ||||
\(197\) | −16.4790 | − | 14.2792i | −1.17408 | − | 1.01735i | −0.999465 | − | 0.0327122i | \(-0.989586\pi\) |
−0.174618 | − | 0.984636i | \(-0.555869\pi\) | |||||||
\(198\) | 0.0423192 | + | 0.521597i | 0.00300750 | + | 0.0370683i | ||||
\(199\) | −0.422569 | + | 0.0607563i | −0.0299551 | + | 0.00430690i | −0.157276 | − | 0.987555i | \(-0.550271\pi\) |
0.127321 | + | 0.991862i | \(0.459362\pi\) | |||||||
\(200\) | 4.69409 | − | 4.06745i | 0.331922 | − | 0.287612i | ||||
\(201\) | −10.6067 | + | 7.43970i | −0.748136 | + | 0.524756i | ||||
\(202\) | 12.8535 | − | 3.77413i | 0.904370 | − | 0.265547i | ||||
\(203\) | 6.06184 | − | 13.2736i | 0.425458 | − | 0.931623i | ||||
\(204\) | −0.246360 | − | 6.08288i | −0.0172486 | − | 0.425887i | ||||
\(205\) | 5.08829 | + | 7.91754i | 0.355382 | + | 0.552985i | ||||
\(206\) | 1.31286 | 0.0914714 | ||||||||
\(207\) | −8.65794 | − | 11.4909i | −0.601769 | − | 0.798671i | ||||
\(208\) | −0.665034 | −0.0461118 | ||||||||
\(209\) | 0.631368 | + | 0.982427i | 0.0436726 | + | 0.0679559i | ||||
\(210\) | −0.561320 | − | 13.8596i | −0.0387347 | − | 0.956402i | ||||
\(211\) | 4.16291 | − | 9.11550i | 0.286586 | − | 0.627537i | −0.710510 | − | 0.703687i | \(-0.751536\pi\) |
0.997096 | + | 0.0761505i | \(0.0242629\pi\) | |||||||
\(212\) | −11.3391 | + | 3.32946i | −0.778773 | + | 0.228669i | ||||
\(213\) | 5.58238 | − | 3.91558i | 0.382498 | − | 0.268291i | ||||
\(214\) | −1.57050 | + | 1.36084i | −0.107357 | + | 0.0930253i | ||||
\(215\) | 19.2019 | − | 2.76082i | 1.30956 | − | 0.188287i | ||||
\(216\) | −1.35708 | − | 5.01581i | −0.0923378 | − | 0.341282i | ||||
\(217\) | 15.6211 | + | 13.5357i | 1.06043 | + | 0.918866i | ||||
\(218\) | −2.44601 | − | 1.57196i | −0.165665 | − | 0.106466i | ||||
\(219\) | −9.75116 | − | 3.98458i | −0.658922 | − | 0.269253i | ||||
\(220\) | 0.382484 | − | 0.441410i | 0.0257870 | − | 0.0297598i | ||||
\(221\) | 2.24280 | + | 0.658545i | 0.150867 | + | 0.0442985i | ||||
\(222\) | 5.11541 | + | 15.1277i | 0.343324 | + | 1.01531i | ||||
\(223\) | 3.02207 | + | 3.48765i | 0.202372 | + | 0.233550i | 0.847860 | − | 0.530221i | \(-0.177891\pi\) |
−0.645487 | + | 0.763771i | \(0.723346\pi\) | |||||||
\(224\) | −0.993579 | − | 2.17563i | −0.0663863 | − | 0.145366i | ||||
\(225\) | −14.8095 | + | 11.3087i | −0.987300 | + | 0.753913i | ||||
\(226\) | 9.46687 | + | 4.32338i | 0.629727 | + | 0.287587i | ||||
\(227\) | −0.571788 | + | 3.97688i | −0.0379509 | + | 0.263955i | −0.999959 | − | 0.00906687i | \(-0.997114\pi\) |
0.962008 | + | 0.273021i | \(0.0880230\pi\) | |||||||
\(228\) | −7.94196 | − | 8.44895i | −0.525969 | − | 0.559546i | ||||
\(229\) | 6.47386i | 0.427805i | 0.976855 | + | 0.213902i | \(0.0686174\pi\) | ||||
−0.976855 | + | 0.213902i | \(0.931383\pi\) | |||||||
\(230\) | −2.38762 | + | 15.8794i | −0.157435 | + | 1.04706i | ||||
\(231\) | −0.131703 | − | 0.710532i | −0.00866541 | − | 0.0467496i | ||||
\(232\) | −5.13250 | + | 3.29846i | −0.336965 | + | 0.216555i | ||||
\(233\) | −20.6304 | − | 2.96621i | −1.35155 | − | 0.194323i | −0.571786 | − | 0.820403i | \(-0.693749\pi\) |
−0.779759 | + | 0.626080i | \(0.784658\pi\) | |||||||
\(234\) | 1.99129 | + | 0.123304i | 0.130174 | + | 0.00806066i | ||||
\(235\) | 7.43388 | + | 25.3175i | 0.484933 | + | 1.65153i | ||||
\(236\) | −9.24791 | + | 4.22338i | −0.601988 | + | 0.274919i | ||||
\(237\) | 5.62235 | − | 7.04556i | 0.365211 | − | 0.457658i | ||||
\(238\) | 1.19640 | + | 8.32112i | 0.0775509 | + | 0.539378i | ||||
\(239\) | −2.55094 | + | 8.68772i | −0.165007 | + | 0.561962i | 0.834926 | + | 0.550362i | \(0.185510\pi\) |
−0.999933 | + | 0.0115993i | \(0.996308\pi\) | |||||||
\(240\) | −2.93541 | + | 5.00168i | −0.189480 | + | 0.322857i | ||||
\(241\) | 2.19681 | − | 3.41830i | 0.141509 | − | 0.220192i | −0.763264 | − | 0.646087i | \(-0.776404\pi\) |
0.904773 | + | 0.425895i | \(0.140041\pi\) | |||||||
\(242\) | −5.93060 | + | 9.22819i | −0.381233 | + | 0.593211i | ||||
\(243\) | 3.13348 | + | 15.2703i | 0.201013 | + | 0.979589i | ||||
\(244\) | 0.176394 | − | 0.600744i | 0.0112925 | − | 0.0384587i | ||||
\(245\) | −0.609661 | − | 4.24028i | −0.0389498 | − | 0.270902i | ||||
\(246\) | −3.80540 | − | 3.03671i | −0.242623 | − | 0.193613i | ||||
\(247\) | 4.04990 | − | 1.84953i | 0.257689 | − | 0.117683i | ||||
\(248\) | −2.43473 | − | 8.29192i | −0.154605 | − | 0.526537i | ||||
\(249\) | −4.99710 | + | 19.9763i | −0.316678 | + | 1.26595i | ||||
\(250\) | 4.01409 | + | 0.577139i | 0.253873 | + | 0.0365015i | ||||
\(251\) | 4.41926 | − | 2.84009i | 0.278942 | − | 0.179265i | −0.393688 | − | 0.919244i | \(-0.628801\pi\) |
0.672630 | + | 0.739979i | \(0.265165\pi\) | |||||||
\(252\) | 2.57165 | + | 6.69864i | 0.161999 | + | 0.421975i | ||||
\(253\) | −0.00538890 | + | 0.836553i | −0.000338797 | + | 0.0525936i | ||||
\(254\) | − | 21.6346i | − | 1.35747i | ||||||
\(255\) | 14.8524 | − | 13.9612i | 0.930096 | − | 0.874284i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | 16.6280 | + | 7.59377i | 1.03723 | + | 0.473687i | 0.859899 | − | 0.510465i | \(-0.170527\pi\) |
0.177330 | + | 0.984151i | \(0.443254\pi\) | |||||||
\(258\) | −8.95211 | + | 4.53473i | −0.557334 | + | 0.282320i | ||||
\(259\) | −9.16062 | − | 20.0589i | −0.569213 | − | 1.24640i | ||||
\(260\) | −1.45820 | − | 1.68286i | −0.0904339 | − | 0.104366i | ||||
\(261\) | 15.9796 | − | 8.92484i | 0.989115 | − | 0.552434i | ||||
\(262\) | −9.76380 | − | 2.86691i | −0.603209 | − | 0.177118i | ||||
\(263\) | −15.1908 | + | 17.5311i | −0.936703 | + | 1.08101i | 0.0598627 | + | 0.998207i | \(0.480934\pi\) |
−0.996566 | + | 0.0828062i | \(0.973612\pi\) | |||||||
\(264\) | −0.114286 | + | 0.279684i | −0.00703384 | + | 0.0172134i | ||||
\(265\) | −33.2881 | − | 21.3930i | −2.04487 | − | 1.31416i | ||||
\(266\) | 12.1013 | + | 10.4859i | 0.741980 | + | 0.642930i | ||||
\(267\) | 26.1541 | + | 2.68550i | 1.60061 | + | 0.164350i | ||||
\(268\) | −7.40385 | + | 1.06451i | −0.452262 | + | 0.0650254i | ||||
\(269\) | 6.91584 | − | 5.99261i | 0.421666 | − | 0.365376i | −0.418029 | − | 0.908434i | \(-0.637279\pi\) |
0.839695 | + | 0.543058i | \(0.182734\pi\) | |||||||
\(270\) | 9.71677 | − | 14.4321i | 0.591344 | − | 0.878310i | ||||
\(271\) | 25.6521 | − | 7.53215i | 1.55826 | − | 0.457545i | 0.614701 | − | 0.788760i | \(-0.289277\pi\) |
0.943555 | + | 0.331215i | \(0.107458\pi\) | |||||||
\(272\) | 1.46011 | − | 3.19721i | 0.0885325 | − | 0.193859i | ||||
\(273\) | −2.75276 | + | 0.111488i | −0.166605 | + | 0.00674757i | ||||
\(274\) | −5.56188 | − | 8.65445i | −0.336005 | − | 0.522835i | ||||
\(275\) | 1.08346 | 0.0653349 | ||||||||
\(276\) | −1.46127 | − | 8.17708i | −0.0879580 | − | 0.492203i | ||||
\(277\) | 27.7970 | 1.67016 | 0.835078 | − | 0.550131i | \(-0.185422\pi\) | ||||
0.835078 | + | 0.550131i | \(0.185422\pi\) | |||||||
\(278\) | −1.38126 | − | 2.14928i | −0.0828424 | − | 0.128905i | ||||
\(279\) | 5.75281 | + | 25.2796i | 0.344412 | + | 1.51345i | ||||
\(280\) | 3.32681 | − | 7.28469i | 0.198815 | − | 0.435344i | ||||
\(281\) | 19.3165 | − | 5.67184i | 1.15233 | − | 0.338354i | 0.350881 | − | 0.936420i | \(-0.385882\pi\) |
0.801447 | + | 0.598066i | \(0.204064\pi\) | |||||||
\(282\) | −7.83805 | − | 11.1746i | −0.466749 | − | 0.665436i | ||||
\(283\) | −7.96292 | + | 6.89991i | −0.473347 | + | 0.410157i | −0.858594 | − | 0.512656i | \(-0.828662\pi\) |
0.385247 | + | 0.922813i | \(0.374116\pi\) | |||||||
\(284\) | 3.89671 | − | 0.560262i | 0.231227 | − | 0.0332454i | ||||
\(285\) | 3.96579 | − | 38.6228i | 0.234913 | − | 2.28782i | ||||
\(286\) | −0.0876718 | − | 0.0759680i | −0.00518414 | − | 0.00449208i | ||||
\(287\) | 5.65568 | + | 3.63468i | 0.333844 | + | 0.214549i | ||||
\(288\) | 0.609652 | − | 2.93740i | 0.0359241 | − | 0.173088i | ||||
\(289\) | 3.04245 | − | 3.51117i | 0.178967 | − | 0.206539i | ||||
\(290\) | −19.6006 | − | 5.75526i | −1.15099 | − | 0.337960i | ||||
\(291\) | 6.43302 | − | 2.17531i | 0.377110 | − | 0.127519i | ||||
\(292\) | −3.98268 | − | 4.59626i | −0.233069 | − | 0.268976i | ||||
\(293\) | −0.626345 | − | 1.37150i | −0.0365914 | − | 0.0801241i | 0.890454 | − | 0.455074i | \(-0.150387\pi\) |
−0.927045 | + | 0.374950i | \(0.877660\pi\) | |||||||
\(294\) | 1.00139 | + | 1.97686i | 0.0584020 | + | 0.115293i | ||||
\(295\) | −30.9649 | − | 14.1412i | −1.80284 | − | 0.823331i | ||||
\(296\) | −1.31212 | + | 9.12597i | −0.0762653 | + | 0.530436i | ||||
\(297\) | 0.394060 | − | 0.816259i | 0.0228657 | − | 0.0473642i | ||||
\(298\) | 18.2179i | 1.05533i | ||||||||
\(299\) | 3.15394 | + | 0.474224i | 0.182397 | + | 0.0274251i | ||||
\(300\) | −10.5779 | + | 1.96070i | −0.610714 | + | 0.113201i | ||||
\(301\) | 11.6576 | − | 7.49190i | 0.671934 | − | 0.431826i | ||||
\(302\) | −7.02752 | − | 1.01040i | −0.404388 | − | 0.0581423i | ||||
\(303\) | −22.5092 | − | 5.63071i | −1.29312 | − | 0.323476i | ||||
\(304\) | −1.88613 | − | 6.42358i | −0.108177 | − | 0.368417i | ||||
\(305\) | 1.90695 | − | 0.870874i | 0.109192 | − | 0.0498661i | ||||
\(306\) | −4.96477 | + | 9.30256i | −0.283817 | + | 0.531792i | ||||
\(307\) | −2.15733 | − | 15.0046i | −0.123125 | − | 0.856356i | −0.953981 | − | 0.299867i | \(-0.903058\pi\) |
0.830856 | − | 0.556488i | \(-0.187852\pi\) | |||||||
\(308\) | 0.117543 | − | 0.400313i | 0.00669761 | − | 0.0228100i | ||||
\(309\) | −1.96114 | − | 1.15097i | −0.111566 | − | 0.0654762i | ||||
\(310\) | 15.6440 | − | 24.3425i | 0.888519 | − | 1.38256i | ||||
\(311\) | −2.59708 | + | 4.04114i | −0.147267 | + | 0.229152i | −0.907048 | − | 0.421027i | \(-0.861670\pi\) |
0.759781 | + | 0.650179i | \(0.225306\pi\) | |||||||
\(312\) | 0.993424 | + | 0.583025i | 0.0562415 | + | 0.0330073i | ||||
\(313\) | −3.56220 | + | 12.1317i | −0.201348 | + | 0.685727i | 0.795469 | + | 0.605995i | \(0.207225\pi\) |
−0.996816 | + | 0.0797321i | \(0.974594\pi\) | |||||||
\(314\) | −0.244727 | − | 1.70212i | −0.0138108 | − | 0.0960560i | ||||
\(315\) | −11.3120 | + | 21.1955i | −0.637359 | + | 1.19423i | ||||
\(316\) | 4.73390 | − | 2.16190i | 0.266302 | − | 0.121616i | ||||
\(317\) | 1.40230 | + | 4.77580i | 0.0787610 | + | 0.268235i | 0.989454 | − | 0.144849i | \(-0.0462696\pi\) |
−0.910693 | + | 0.413084i | \(0.864451\pi\) | |||||||
\(318\) | 19.8572 | + | 4.96730i | 1.11354 | + | 0.278552i | ||||
\(319\) | −1.05341 | − | 0.151458i | −0.0589797 | − | 0.00847999i | ||||
\(320\) | −2.81678 | + | 1.81023i | −0.157463 | + | 0.101195i | ||||
\(321\) | 3.53903 | − | 0.655988i | 0.197529 | − | 0.0366137i | ||||
\(322\) | 3.16066 | + | 11.0265i | 0.176137 | + | 0.614483i | ||||
\(323\) | 23.5310i | 1.30930i | ||||||||
\(324\) | −2.37008 | + | 8.68232i | −0.131671 | + | 0.482351i | ||||
\(325\) | 0.587851 | − | 4.08859i | 0.0326081 | − | 0.226794i | ||||
\(326\) | 0.905402 | + | 0.413483i | 0.0501456 | + | 0.0229007i | ||||
\(327\) | 2.27573 | + | 4.49256i | 0.125848 | + | 0.248439i | ||||
\(328\) | −1.16767 | − | 2.55684i | −0.0644738 | − | 0.141178i | ||||
\(329\) | 12.3430 | + | 14.2446i | 0.680493 | + | 0.785331i | ||||
\(330\) | −0.958329 | + | 0.324057i | −0.0527543 | + | 0.0178388i | ||||
\(331\) | −7.66449 | − | 2.25050i | −0.421279 | − | 0.123699i | 0.0642205 | − | 0.997936i | \(-0.479544\pi\) |
−0.485499 | + | 0.874237i | \(0.661362\pi\) | |||||||
\(332\) | −7.78544 | + | 8.98488i | −0.427282 | + | 0.493109i | ||||
\(333\) | 5.62088 | − | 27.0823i | 0.308022 | − | 1.48410i | ||||
\(334\) | −9.31688 | − | 5.98760i | −0.509797 | − | 0.327627i | ||||
\(335\) | −18.9280 | − | 16.4012i | −1.03415 | − | 0.896092i | ||||
\(336\) | −0.423145 | + | 4.12101i | −0.0230844 | + | 0.224819i | ||||
\(337\) | −7.97998 | + | 1.14735i | −0.434697 | + | 0.0625001i | −0.356190 | − | 0.934413i | \(-0.615924\pi\) |
−0.0785073 | + | 0.996914i | \(0.525015\pi\) | |||||||
\(338\) | 9.49050 | − | 8.22356i | 0.516215 | − | 0.447303i | ||||
\(339\) | −10.3513 | − | 14.7577i | −0.562207 | − | 0.801529i | ||||
\(340\) | 11.2920 | − | 3.31564i | 0.612396 | − | 0.179816i | ||||
\(341\) | 0.626230 | − | 1.37125i | 0.0339122 | − | 0.0742575i | ||||
\(342\) | 4.45658 | + | 19.5836i | 0.240984 | + | 1.05896i | ||||
\(343\) | −10.7060 | − | 16.6589i | −0.578072 | − | 0.899497i | ||||
\(344\) | −5.79379 | −0.312380 | ||||||||
\(345\) | 17.4879 | − | 21.6274i | 0.941516 | − | 1.16438i | ||||
\(346\) | −2.42055 | −0.130129 | ||||||||
\(347\) | −0.838961 | − | 1.30545i | −0.0450378 | − | 0.0700802i | 0.818005 | − | 0.575212i | \(-0.195080\pi\) |
−0.863042 | + | 0.505132i | \(0.831444\pi\) | |||||||
\(348\) | 10.5586 | − | 0.427629i | 0.566001 | − | 0.0229233i | ||||
\(349\) | 0.688116 | − | 1.50676i | 0.0368340 | − | 0.0806552i | −0.890321 | − | 0.455334i | \(-0.849520\pi\) |
0.927155 | + | 0.374679i | \(0.122247\pi\) | |||||||
\(350\) | 14.2539 | − | 4.18534i | 0.761906 | − | 0.223716i | ||||
\(351\) | −2.86647 | − | 1.92992i | −0.153001 | − | 0.103012i | ||||
\(352\) | −0.131831 | + | 0.114232i | −0.00702659 | + | 0.00608858i | ||||
\(353\) | −20.8552 | + | 2.99853i | −1.11001 | + | 0.159596i | −0.672844 | − | 0.739784i | \(-0.734928\pi\) |
−0.437168 | + | 0.899380i | \(0.644019\pi\) | |||||||
\(354\) | 17.5171 | + | 1.79865i | 0.931021 | + | 0.0955972i | ||||
\(355\) | 9.96195 | + | 8.63208i | 0.528726 | + | 0.458143i | ||||
\(356\) | 12.7698 | + | 8.20665i | 0.676798 | + | 0.434952i | ||||
\(357\) | 5.50784 | − | 13.4789i | 0.291506 | − | 0.713379i | ||||
\(358\) | 8.28881 | − | 9.56580i | 0.438077 | − | 0.505568i | ||||
\(359\) | −5.28399 | − | 1.55152i | −0.278878 | − | 0.0818860i | 0.139303 | − | 0.990250i | \(-0.455514\pi\) |
−0.418181 | + | 0.908364i | \(0.637332\pi\) | |||||||
\(360\) | 8.76981 | − | 4.89805i | 0.462210 | − | 0.258150i | ||||
\(361\) | 16.9084 | + | 19.5133i | 0.889916 | + | 1.02702i | ||||
\(362\) | 3.84308 | + | 8.41517i | 0.201988 | + | 0.442292i | ||||
\(363\) | 16.9493 | − | 8.58575i | 0.889608 | − | 0.450635i | ||||
\(364\) | −1.44687 | − | 0.660763i | −0.0758366 | − | 0.0346334i | ||||
\(365\) | 2.89803 | − | 20.1562i | 0.151690 | − | 1.05502i | ||||
\(366\) | −0.790161 | + | 0.742746i | −0.0413024 | + | 0.0388239i | ||||
\(367\) | 14.8562i | 0.775487i | 0.921767 | + | 0.387744i | \(0.126745\pi\) | ||||
−0.921767 | + | 0.387744i | \(0.873255\pi\) | |||||||
\(368\) | 1.38076 | − | 4.59277i | 0.0719769 | − | 0.239415i | ||||
\(369\) | 3.02225 | + | 7.87235i | 0.157332 | + | 0.409818i | ||||
\(370\) | −25.9702 | + | 16.6900i | −1.35012 | + | 0.867672i | ||||
\(371\) | −27.9778 | − | 4.02261i | −1.45254 | − | 0.208843i | ||||
\(372\) | −3.63242 | + | 14.5209i | −0.188332 | + | 0.752874i | ||||
\(373\) | 1.27986 | + | 4.35881i | 0.0662688 | + | 0.225691i | 0.985968 | − | 0.166932i | \(-0.0533860\pi\) |
−0.919700 | + | 0.392623i | \(0.871568\pi\) | |||||||
\(374\) | 0.557711 | − | 0.254698i | 0.0288385 | − | 0.0131701i | ||||
\(375\) | −5.49025 | − | 4.38122i | −0.283516 | − | 0.226245i | ||||
\(376\) | −1.12151 | − | 7.80027i | −0.0578374 | − | 0.402268i | ||||
\(377\) | −1.14310 | + | 3.89303i | −0.0588725 | + | 0.200501i | ||||
\(378\) | 2.03109 | − | 12.2609i | 0.104468 | − | 0.630634i | ||||
\(379\) | −16.9516 | + | 26.3772i | −0.870745 | + | 1.35491i | 0.0633915 | + | 0.997989i | \(0.479808\pi\) |
−0.934136 | + | 0.356917i | \(0.883828\pi\) | |||||||
\(380\) | 12.1191 | − | 18.8576i | 0.621695 | − | 0.967377i | ||||
\(381\) | −18.9667 | + | 32.3176i | −0.971695 | + | 1.65568i | ||||
\(382\) | −0.414394 | + | 1.41130i | −0.0212023 | + | 0.0722083i | ||||
\(383\) | 1.57094 | + | 10.9261i | 0.0802712 | + | 0.558298i | 0.989779 | + | 0.142611i | \(0.0455498\pi\) |
−0.909508 | + | 0.415687i | \(0.863541\pi\) | |||||||
\(384\) | 1.08035 | − | 1.35382i | 0.0551315 | − | 0.0690871i | ||||
\(385\) | 1.27072 | − | 0.580318i | 0.0647618 | − | 0.0295757i | ||||
\(386\) | −1.72770 | − | 5.88402i | −0.0879379 | − | 0.299489i | ||||
\(387\) | 17.3481 | + | 1.07423i | 0.881856 | + | 0.0546062i | ||||
\(388\) | 3.88079 | + | 0.557974i | 0.197017 | + | 0.0283268i | ||||
\(389\) | −7.36837 | + | 4.73537i | −0.373591 | + | 0.240093i | −0.713940 | − | 0.700207i | \(-0.753091\pi\) |
0.340349 | + | 0.940299i | \(0.389455\pi\) | |||||||
\(390\) | 0.702920 | + | 3.79223i | 0.0355937 | + | 0.192027i | ||||
\(391\) | −9.20450 | + | 14.1216i | −0.465491 | + | 0.714162i | ||||
\(392\) | 1.27942i | 0.0646204i | ||||||||
\(393\) | 12.0717 | + | 12.8424i | 0.608938 | + | 0.647811i | ||||
\(394\) | −3.10316 | + | 21.5829i | −0.156335 | + | 1.08733i | ||||
\(395\) | 15.8505 | + | 7.23870i | 0.797527 | + | 0.364219i | ||||
\(396\) | 0.415916 | − | 0.317598i | 0.0209005 | − | 0.0159599i | ||||
\(397\) | −8.98453 | − | 19.6734i | −0.450921 | − | 0.987378i | −0.989464 | − | 0.144780i | \(-0.953752\pi\) |
0.538543 | − | 0.842598i | \(-0.318975\pi\) | |||||||
\(398\) | 0.279570 | + | 0.322641i | 0.0140136 | + | 0.0161725i | ||||
\(399\) | −8.88410 | − | 26.2728i | −0.444761 | − | 1.31528i | ||||
\(400\) | −5.95957 | − | 1.74989i | −0.297979 | − | 0.0874944i | ||||
\(401\) | 20.6984 | − | 23.8872i | 1.03363 | − | 1.19287i | 0.0526774 | − | 0.998612i | \(-0.483224\pi\) |
0.980950 | − | 0.194258i | \(-0.0622301\pi\) | |||||||
\(402\) | 11.9931 | + | 4.90068i | 0.598160 | + | 0.244424i | ||||
\(403\) | −4.83486 | − | 3.10717i | −0.240841 | − | 0.154779i | ||||
\(404\) | −10.1241 | − | 8.77261i | −0.503694 | − | 0.436454i | ||||
\(405\) | −27.1673 | + | 13.0401i | −1.34995 | + | 0.647966i | ||||
\(406\) | −14.4437 | + | 2.07669i | −0.716830 | + | 0.103065i | ||||
\(407\) | −1.21545 | + | 1.05320i | −0.0602478 | + | 0.0522050i | ||||
\(408\) | −4.98406 | + | 3.49591i | −0.246748 | + | 0.173073i | ||||
\(409\) | −8.06409 | + | 2.36783i | −0.398744 | + | 0.117082i | −0.474955 | − | 0.880010i | \(-0.657536\pi\) |
0.0762116 | + | 0.997092i | \(0.475718\pi\) | |||||||
\(410\) | 3.90972 | − | 8.56109i | 0.193087 | − | 0.422802i | ||||
\(411\) | 0.721070 | + | 17.8040i | 0.0355678 | + | 0.878206i | ||||
\(412\) | −0.709786 | − | 1.10445i | −0.0349687 | − | 0.0544123i | ||||
\(413\) | −24.3163 | −1.19653 | ||||||||
\(414\) | −4.98590 | + | 13.4960i | −0.245043 | + | 0.663290i | ||||
\(415\) | −39.8070 | −1.95405 | ||||||||
\(416\) | 0.359544 | + | 0.559462i | 0.0176281 | + | 0.0274299i | ||||
\(417\) | 0.179073 | + | 4.42151i | 0.00876926 | + | 0.216522i | ||||
\(418\) | 0.485127 | − | 1.06228i | 0.0237284 | − | 0.0519578i | ||||
\(419\) | 3.68715 | − | 1.08265i | 0.180129 | − | 0.0528907i | −0.190424 | − | 0.981702i | \(-0.560986\pi\) |
0.370553 | + | 0.928811i | \(0.379168\pi\) | |||||||
\(420\) | −11.3560 | + | 7.96527i | −0.554114 | + | 0.388665i | ||||
\(421\) | 7.60912 | − | 6.59334i | 0.370846 | − | 0.321340i | −0.449422 | − | 0.893320i | \(-0.648370\pi\) |
0.820268 | + | 0.571980i | \(0.193824\pi\) | |||||||
\(422\) | −9.91908 | + | 1.42615i | −0.482853 | + | 0.0694238i | ||||
\(423\) | 1.91184 | + | 23.5640i | 0.0929570 | + | 1.14572i | ||||
\(424\) | 8.93131 | + | 7.73902i | 0.433743 | + | 0.375840i | ||||
\(425\) | 18.3656 | + | 11.8029i | 0.890862 | + | 0.572522i | ||||
\(426\) | −6.31206 | − | 2.57927i | −0.305820 | − | 0.124966i | ||||
\(427\) | 0.980656 | − | 1.13174i | 0.0474573 | − | 0.0547686i | ||||
\(428\) | 1.99389 | + | 0.585458i | 0.0963782 | + | 0.0282992i | ||||
\(429\) | 0.0643635 | + | 0.190341i | 0.00310750 | + | 0.00918976i | ||||
\(430\) | −12.7039 | − | 14.6611i | −0.612637 | − | 0.707020i | ||||
\(431\) | −0.368781 | − | 0.807518i | −0.0177636 | − | 0.0388968i | 0.900542 | − | 0.434768i | \(-0.143170\pi\) |
−0.918306 | + | 0.395872i | \(0.870443\pi\) | |||||||
\(432\) | −3.48587 | + | 3.85340i | −0.167714 | + | 0.185397i | ||||
\(433\) | −12.4673 | − | 5.69362i | −0.599140 | − | 0.273618i | 0.0926709 | − | 0.995697i | \(-0.470460\pi\) |
−0.691811 | + | 0.722079i | \(0.743187\pi\) | |||||||
\(434\) | 2.94160 | − | 20.4593i | 0.141201 | − | 0.982076i | ||||
\(435\) | 24.2337 | + | 25.7808i | 1.16192 | + | 1.23609i | ||||
\(436\) | 2.90758i | 0.139248i | ||||||||
\(437\) | 4.36448 | + | 31.8089i | 0.208782 | + | 1.52163i | ||||
\(438\) | 1.91983 | + | 10.3574i | 0.0917332 | + | 0.494897i | ||||
\(439\) | 22.2826 | − | 14.3202i | 1.06349 | − | 0.683464i | 0.112804 | − | 0.993617i | \(-0.464017\pi\) |
0.950686 | + | 0.310154i | \(0.100380\pi\) | |||||||
\(440\) | −0.578124 | − | 0.0831216i | −0.0275610 | − | 0.00396267i | ||||
\(441\) | 0.237218 | − | 3.83092i | 0.0112961 | − | 0.182425i | ||||
\(442\) | −0.658545 | − | 2.24280i | −0.0313238 | − | 0.106679i | ||||
\(443\) | 3.04728 | − | 1.39165i | 0.144781 | − | 0.0661191i | −0.341707 | − | 0.939806i | \(-0.611005\pi\) |
0.486488 | + | 0.873687i | \(0.338278\pi\) | |||||||
\(444\) | 9.96064 | − | 12.4820i | 0.472711 | − | 0.592370i | ||||
\(445\) | 7.23324 | + | 50.3083i | 0.342888 | + | 2.38484i | ||||
\(446\) | 1.30015 | − | 4.42789i | 0.0615637 | − | 0.209667i | ||||
\(447\) | 15.9713 | − | 27.2137i | 0.755419 | − | 1.28717i | ||||
\(448\) | −1.29309 | + | 2.01209i | −0.0610928 | + | 0.0950622i | ||||
\(449\) | −17.7152 | + | 27.5654i | −0.836031 | + | 1.30089i | 0.115491 | + | 0.993309i | \(0.463156\pi\) |
−0.951522 | + | 0.307581i | \(0.900480\pi\) | |||||||
\(450\) | 17.5201 | + | 6.34460i | 0.825905 | + | 0.299087i | ||||
\(451\) | 0.138138 | − | 0.470455i | 0.00650466 | − | 0.0221528i | ||||
\(452\) | −1.48112 | − | 10.3014i | −0.0696661 | − | 0.484539i | ||||
\(453\) | 9.61187 | + | 7.67026i | 0.451605 | + | 0.360380i | ||||
\(454\) | 3.65469 | − | 1.66904i | 0.171523 | − | 0.0783320i | ||||
\(455\) | −1.50047 | − | 5.11012i | −0.0703429 | − | 0.239566i | ||||
\(456\) | −2.81396 | + | 11.2491i | −0.131776 | + | 0.526785i | ||||
\(457\) | −21.6467 | − | 3.11233i | −1.01259 | − | 0.145588i | −0.384006 | − | 0.923330i | \(-0.625456\pi\) |
−0.628584 | + | 0.777742i | \(0.716365\pi\) | |||||||
\(458\) | 5.44616 | − | 3.50003i | 0.254482 | − | 0.163546i | ||||
\(459\) | 15.5718 | − | 9.54357i | 0.726828 | − | 0.445456i | ||||
\(460\) | 14.6495 | − | 6.57647i | 0.683035 | − | 0.306630i | ||||
\(461\) | 32.3466i | 1.50653i | 0.657715 | + | 0.753267i | \(0.271523\pi\) | ||||
−0.657715 | + | 0.753267i | \(0.728477\pi\) | |||||||
\(462\) | −0.526534 | + | 0.494938i | −0.0244966 | + | 0.0230266i | ||||
\(463\) | 1.87739 | − | 13.0575i | 0.0872497 | − | 0.606835i | −0.898545 | − | 0.438881i | \(-0.855375\pi\) |
0.985795 | − | 0.167954i | \(-0.0537160\pi\) | |||||||
\(464\) | 5.54968 | + | 2.53446i | 0.257638 | + | 0.117659i | ||||
\(465\) | −44.7096 | + | 22.6479i | −2.07336 | + | 1.05027i | ||||
\(466\) | 8.65833 | + | 18.9591i | 0.401089 | + | 0.878263i | ||||
\(467\) | −15.3824 | − | 17.7523i | −0.711815 | − | 0.821478i | 0.278483 | − | 0.960441i | \(-0.410168\pi\) |
−0.990298 | + | 0.138963i | \(0.955623\pi\) | |||||||
\(468\) | −0.972841 | − | 1.74184i | −0.0449696 | − | 0.0805166i | ||||
\(469\) | −17.1657 | − | 5.04032i | −0.792640 | − | 0.232740i | ||||
\(470\) | 17.2793 | − | 19.9414i | 0.797037 | − | 0.919829i | ||||
\(471\) | −1.12665 | + | 2.75716i | −0.0519132 | + | 0.127043i | ||||
\(472\) | 8.55273 | + | 5.49651i | 0.393671 | + | 0.252997i | ||||
\(473\) | −0.763799 | − | 0.661836i | −0.0351195 | − | 0.0304312i | ||||
\(474\) | −8.96677 | − | 0.920708i | −0.411858 | − | 0.0422895i | ||||
\(475\) | 41.1591 | − | 5.91778i | 1.88851 | − | 0.271526i | ||||
\(476\) | 6.35335 | − | 5.50521i | 0.291205 | − | 0.252331i | ||||
\(477\) | −25.3078 | − | 24.8286i | −1.15877 | − | 1.13683i | ||||
\(478\) | 8.68772 | − | 2.55094i | 0.397367 | − | 0.116677i | ||||
\(479\) | 6.11943 | − | 13.3997i | 0.279604 | − | 0.612247i | −0.716772 | − | 0.697308i | \(-0.754381\pi\) |
0.996376 | + | 0.0850605i | \(0.0271084\pi\) | |||||||
\(480\) | 5.79469 | − | 0.234688i | 0.264490 | − | 0.0107120i | ||||
\(481\) | 3.31493 | + | 5.15814i | 0.151148 | + | 0.235191i | ||||
\(482\) | −4.06334 | −0.185080 | ||||||||
\(483\) | 4.94539 | − | 19.2422i | 0.225023 | − | 0.875552i | ||||
\(484\) | 10.9696 | 0.498617 | ||||||||
\(485\) | 7.09738 | + | 11.0437i | 0.322275 | + | 0.501470i | ||||
\(486\) | 11.1521 | − | 10.8918i | 0.505869 | − | 0.494061i | ||||
\(487\) | 10.3827 | − | 22.7350i | 0.470486 | − | 1.03022i | −0.514485 | − | 0.857499i | \(-0.672017\pi\) |
0.984971 | − | 0.172721i | \(-0.0552559\pi\) | |||||||
\(488\) | −0.600744 | + | 0.176394i | −0.0271944 | + | 0.00798500i | ||||
\(489\) | −0.989990 | − | 1.41141i | −0.0447689 | − | 0.0638263i | ||||
\(490\) | −3.23755 | + | 2.80535i | −0.146257 | + | 0.126733i | ||||
\(491\) | −9.28010 | + | 1.33428i | −0.418805 | + | 0.0602151i | −0.348496 | − | 0.937310i | \(-0.613308\pi\) |
−0.0703089 | + | 0.997525i | \(0.522398\pi\) | |||||||
\(492\) | −0.497286 | + | 4.84307i | −0.0224194 | + | 0.218343i | ||||
\(493\) | −16.2063 | − | 14.0429i | −0.729897 | − | 0.632459i | ||||
\(494\) | −3.74546 | − | 2.40706i | −0.168516 | − | 0.108299i | ||||
\(495\) | 1.71564 | + | 0.356078i | 0.0771124 | + | 0.0160045i | ||||
\(496\) | −5.65929 | + | 6.53117i | −0.254110 | + | 0.293258i | ||||
\(497\) | 9.03448 | + | 2.65276i | 0.405252 | + | 0.118993i | ||||
\(498\) | 19.5068 | − | 6.59618i | 0.874119 | − | 0.295582i | ||||
\(499\) | 6.20722 | + | 7.16351i | 0.277873 | + | 0.320683i | 0.877481 | − | 0.479611i | \(-0.159222\pi\) |
−0.599608 | + | 0.800294i | \(0.704677\pi\) | |||||||
\(500\) | −1.68466 | − | 3.68889i | −0.0753403 | − | 0.164972i | ||||
\(501\) | 8.66827 | + | 17.1122i | 0.387270 | + | 0.764517i | ||||
\(502\) | −4.77847 | − | 2.18225i | −0.213274 | − | 0.0973988i | ||||
\(503\) | 3.97959 | − | 27.6786i | 0.177441 | − | 1.23413i | −0.685216 | − | 0.728340i | \(-0.740292\pi\) |
0.862657 | − | 0.505789i | \(-0.168799\pi\) | |||||||
\(504\) | 4.24492 | − | 5.78497i | 0.189084 | − | 0.257683i | ||||
\(505\) | − | 44.8544i | − | 1.99600i | ||||||
\(506\) | 0.706666 | − | 0.447741i | 0.0314151 | − | 0.0199045i | ||||
\(507\) | −21.3863 | + | 3.96413i | −0.949801 | + | 0.176053i | ||||
\(508\) | −18.2002 | + | 11.6965i | −0.807502 | + | 0.518950i | ||||
\(509\) | 34.8720 | + | 5.01384i | 1.54568 | + | 0.222235i | 0.861756 | − | 0.507323i | \(-0.169365\pi\) |
0.683920 | + | 0.729557i | \(0.260274\pi\) | |||||||
\(510\) | −19.7747 | − | 4.94668i | −0.875641 | − | 0.219043i | ||||
\(511\) | −4.09811 | − | 13.9569i | −0.181290 | − | 0.617416i | ||||
\(512\) | 0.909632 | − | 0.415415i | 0.0402004 | − | 0.0183589i | ||||
\(513\) | 10.5114 | − | 33.1609i | 0.464092 | − | 1.46409i | ||||
\(514\) | −2.60151 | − | 18.0939i | −0.114748 | − | 0.798088i | ||||
\(515\) | 1.23846 | − | 4.21780i | 0.0545730 | − | 0.185858i | ||||
\(516\) | 8.65473 | + | 5.07933i | 0.381003 | + | 0.223605i | ||||
\(517\) | 0.743190 | − | 1.15643i | 0.0326855 | − | 0.0508596i | ||||
\(518\) | −11.9221 | + | 18.5511i | −0.523825 | + | 0.815088i | ||||
\(519\) | 3.61580 | + | 2.12206i | 0.158716 | + | 0.0931480i | ||||
\(520\) | −0.627344 | + | 2.13654i | −0.0275109 | + | 0.0936934i | ||||
\(521\) | −0.0294211 | − | 0.204628i | −0.00128896 | − | 0.00896492i | 0.989167 | − | 0.146796i | \(-0.0468960\pi\) |
−0.990456 | + | 0.137831i | \(0.955987\pi\) | |||||||
\(522\) | −16.1473 | − | 8.61780i | −0.706748 | − | 0.377191i | ||||
\(523\) | 13.7188 | − | 6.26517i | 0.599882 | − | 0.273957i | −0.0922407 | − | 0.995737i | \(-0.529403\pi\) |
0.692123 | + | 0.721780i | \(0.256676\pi\) | |||||||
\(524\) | 2.86691 | + | 9.76380i | 0.125242 | + | 0.426533i | ||||
\(525\) | −24.9617 | − | 6.24420i | −1.08942 | − | 0.272519i | ||||
\(526\) | 22.9608 | + | 3.30127i | 1.00114 | + | 0.143942i | ||||
\(527\) | 25.5532 | − | 16.4220i | 1.11311 | − | 0.715355i | ||||
\(528\) | 0.297073 | − | 0.0550649i | 0.0129285 | − | 0.00239639i | ||||
\(529\) | −9.82329 | + | 20.7967i | −0.427099 | + | 0.904205i | ||||
\(530\) | 39.5697i | 1.71880i | ||||||||
\(531\) | −24.5900 | − | 18.0438i | −1.06712 | − | 0.783033i | ||||
\(532\) | 2.27880 | − | 15.8494i | 0.0987983 | − | 0.687158i | ||||
\(533\) | −1.70038 | − | 0.776539i | −0.0736518 | − | 0.0336357i | ||||
\(534\) | −11.8808 | − | 23.4542i | −0.514133 | − | 1.01496i | ||||
\(535\) | 2.89046 | + | 6.32922i | 0.124965 | + | 0.273636i | ||||
\(536\) | 4.89835 | + | 5.65299i | 0.211576 | + | 0.244172i | ||||
\(537\) | −20.7680 | + | 7.02265i | −0.896204 | + | 0.303050i | ||||
\(538\) | −8.78029 | − | 2.57813i | −0.378545 | − | 0.111151i | ||||
\(539\) | −0.146150 | + | 0.168667i | −0.00629514 | + | 0.00726498i | ||||
\(540\) | −17.3943 | − | 0.371680i | −0.748534 | − | 0.0159946i | ||||
\(541\) | 33.1433 | + | 21.2999i | 1.42494 | + | 0.915754i | 0.999944 | + | 0.0105589i | \(0.00336105\pi\) |
0.424997 | + | 0.905195i | \(0.360275\pi\) | |||||||
\(542\) | −20.2050 | − | 17.5078i | −0.867881 | − | 0.752023i | ||||
\(543\) | 1.63669 | − | 15.9397i | 0.0702370 | − | 0.684038i | ||||
\(544\) | −3.47906 | + | 0.500213i | −0.149163 | + | 0.0214465i | ||||
\(545\) | −7.35758 | + | 6.37538i | −0.315164 | + | 0.273091i | ||||
\(546\) | 1.58204 | + | 2.25549i | 0.0677052 | + | 0.0965262i | ||||
\(547\) | −13.5569 | + | 3.98068i | −0.579653 | + | 0.170201i | −0.558399 | − | 0.829573i | \(-0.688584\pi\) |
−0.0212542 | + | 0.999774i | \(0.506766\pi\) | |||||||
\(548\) | −4.27361 | + | 9.35790i | −0.182560 | + | 0.399750i | ||||
\(549\) | 1.83149 | − | 0.416787i | 0.0781662 | − | 0.0177880i | ||||
\(550\) | −0.585761 | − | 0.911462i | −0.0249769 | − | 0.0388649i | ||||
\(551\) | −40.8449 | −1.74005 | ||||||||
\(552\) | −6.08898 | + | 5.65016i | −0.259164 | + | 0.240487i | ||||
\(553\) | 12.4472 | 0.529311 | ||||||||
\(554\) | −15.0282 | − | 23.3843i | −0.638486 | − | 0.993503i | ||||
\(555\) | 53.4260 | − | 2.16378i | 2.26781 | − | 0.0918472i | ||||
\(556\) | −1.06133 | + | 2.32398i | −0.0450102 | + | 0.0985586i | ||||
\(557\) | 13.5725 | − | 3.98526i | 0.575087 | − | 0.168861i | 0.0187599 | − | 0.999824i | \(-0.494028\pi\) |
0.556327 | + | 0.830963i | \(0.312210\pi\) | |||||||
\(558\) | 18.1564 | − | 18.5068i | 0.768621 | − | 0.783454i | ||||
\(559\) | −2.91195 | + | 2.52322i | −0.123162 | + | 0.106721i | ||||
\(560\) | −7.92688 | + | 1.13971i | −0.334972 | + | 0.0481617i | ||||
\(561\) | −1.05639 | − | 0.108471i | −0.0446010 | − | 0.00457963i | ||||
\(562\) | −15.2148 | − | 13.1837i | −0.641796 | − | 0.556119i | ||||
\(563\) | 7.24324 | + | 4.65495i | 0.305266 | + | 0.196183i | 0.684301 | − | 0.729200i | \(-0.260108\pi\) |
−0.379035 | + | 0.925382i | \(0.623744\pi\) | |||||||
\(564\) | −5.16308 | + | 12.6352i | −0.217405 | + | 0.532039i | ||||
\(565\) | 22.8200 | − | 26.3357i | 0.960044 | − | 1.10795i | ||||
\(566\) | 10.1097 | + | 2.96846i | 0.424941 | + | 0.124774i | ||||
\(567\) | −13.7830 | + | 16.5347i | −0.578832 | + | 0.694392i | ||||
\(568\) | −2.57804 | − | 2.97522i | −0.108172 | − | 0.124837i | ||||
\(569\) | 3.20388 | + | 7.01552i | 0.134314 | + | 0.294106i | 0.964824 | − | 0.262898i | \(-0.0846782\pi\) |
−0.830510 | + | 0.557004i | \(0.811951\pi\) | |||||||
\(570\) | −34.6356 | + | 17.5448i | −1.45073 | + | 0.734872i | ||||
\(571\) | −15.9160 | − | 7.26859i | −0.666064 | − | 0.304181i | 0.0535404 | − | 0.998566i | \(-0.482949\pi\) |
−0.719604 | + | 0.694385i | \(0.755677\pi\) | |||||||
\(572\) | −0.0165094 | + | 0.114826i | −0.000690294 | + | 0.00480110i | ||||
\(573\) | 1.85628 | − | 1.74489i | 0.0775474 | − | 0.0728940i | ||||
\(574\) | − | 6.72292i | − | 0.280609i | ||||||
\(575\) | 27.0156 | + | 12.5486i | 1.12663 | + | 0.523311i | ||||
\(576\) | −2.80070 | + | 1.07521i | −0.116696 | + | 0.0448003i | ||||
\(577\) | −17.9450 | + | 11.5325i | −0.747058 | + | 0.480105i | −0.857954 | − | 0.513727i | \(-0.828264\pi\) |
0.110896 | + | 0.993832i | \(0.464628\pi\) | |||||||
\(578\) | −4.59865 | − | 0.661187i | −0.191279 | − | 0.0275017i | ||||
\(579\) | −2.57760 | + | 10.3042i | −0.107121 | + | 0.428227i | ||||
\(580\) | 5.75526 | + | 19.6006i | 0.238974 | + | 0.813871i | ||||
\(581\) | −25.8655 | + | 11.8124i | −1.07308 | + | 0.490059i | ||||
\(582\) | −5.30794 | − | 4.23574i | −0.220021 | − | 0.175577i | ||||
\(583\) | 0.293377 | + | 2.04048i | 0.0121504 | + | 0.0845081i | ||||
\(584\) | −1.71342 | + | 5.83537i | −0.0709018 | + | 0.241469i | ||||
\(585\) | 2.27457 | − | 6.28105i | 0.0940420 | − | 0.259689i | ||||
\(586\) | −0.815155 | + | 1.26841i | −0.0336737 | + | 0.0523973i | ||||
\(587\) | 8.61402 | − | 13.4037i | 0.355539 | − | 0.553229i | −0.616706 | − | 0.787193i | \(-0.711533\pi\) |
0.972245 | + | 0.233964i | \(0.0751698\pi\) | |||||||
\(588\) | 1.12165 | − | 1.91119i | 0.0462560 | − | 0.0788161i | ||||
\(589\) | 16.2999 | − | 55.5124i | 0.671626 | − | 2.28735i | ||||
\(590\) | 4.84455 | + | 33.6946i | 0.199447 | + | 1.38718i | ||||
\(591\) | 23.5569 | − | 29.5200i | 0.969003 | − | 1.21429i | ||||
\(592\) | 8.38664 | − | 3.83005i | 0.344689 | − | 0.157414i | ||||
\(593\) | −12.4444 | − | 42.3816i | −0.511029 | − | 1.74041i | −0.659710 | − | 0.751520i | \(-0.729321\pi\) |
0.148681 | − | 0.988885i | \(-0.452497\pi\) | |||||||
\(594\) | −0.899726 | + | 0.109798i | −0.0369162 | + | 0.00450509i | ||||
\(595\) | 27.8617 | + | 4.00590i | 1.14222 | + | 0.164226i | ||||
\(596\) | 15.3258 | − | 9.84932i | 0.627771 | − | 0.403444i | ||||
\(597\) | −0.134765 | − | 0.727053i | −0.00551557 | − | 0.0297563i | ||||
\(598\) | −1.30620 | − | 2.90964i | −0.0534147 | − | 0.118984i | ||||
\(599\) | − | 17.2927i | − | 0.706560i | −0.935518 | − | 0.353280i | \(-0.885066\pi\) | ||
0.935518 | − | 0.353280i | \(-0.114934\pi\) | |||||||
\(600\) | 7.36828 | + | 7.83865i | 0.300809 | + | 0.320011i | ||||
\(601\) | −3.18966 | + | 22.1846i | −0.130109 | + | 0.904928i | 0.815299 | + | 0.579040i | \(0.196572\pi\) |
−0.945408 | + | 0.325888i | \(0.894337\pi\) | |||||||
\(602\) | −12.6052 | − | 5.75659i | −0.513748 | − | 0.234621i | ||||
\(603\) | −13.6188 | − | 17.8348i | −0.554601 | − | 0.726288i | ||||
\(604\) | 2.94936 | + | 6.45819i | 0.120008 | + | 0.262780i | ||||
\(605\) | 24.0527 | + | 27.7583i | 0.977882 | + | 1.12854i | ||||
\(606\) | 7.43255 | + | 21.9802i | 0.301927 | + | 0.892883i | ||||
\(607\) | 28.7490 | + | 8.44146i | 1.16688 | + | 0.342628i | 0.807104 | − | 0.590409i | \(-0.201034\pi\) |
0.359780 | + | 0.933037i | \(0.382852\pi\) | |||||||
\(608\) | −4.38414 | + | 5.05956i | −0.177800 | + | 0.205192i | ||||
\(609\) | 23.3966 | + | 9.56046i | 0.948077 | + | 0.387409i | ||||
\(610\) | −1.76360 | − | 1.13340i | −0.0714061 | − | 0.0458899i | ||||
\(611\) | −3.96072 | − | 3.43198i | −0.160234 | − | 0.138843i | ||||
\(612\) | 10.5100 | − | 0.852716i | 0.424840 | − | 0.0344690i | ||||
\(613\) | −19.0654 | + | 2.74119i | −0.770043 | + | 0.110715i | −0.516128 | − | 0.856511i | \(-0.672627\pi\) |
−0.253914 | + | 0.967227i | \(0.581718\pi\) | |||||||
\(614\) | −11.4563 | + | 9.92694i | −0.462339 | + | 0.400619i | ||||
\(615\) | −13.3457 | + | 9.36091i | −0.538150 | + | 0.377468i | ||||
\(616\) | −0.400313 | + | 0.117543i | −0.0161291 | + | 0.00473593i | ||||
\(617\) | 17.4628 | − | 38.2382i | 0.703026 | − | 1.53941i | −0.133238 | − | 0.991084i | \(-0.542537\pi\) |
0.836264 | − | 0.548328i | \(-0.184735\pi\) | |||||||
\(618\) | 0.0920203 | + | 2.27208i | 0.00370160 | + | 0.0913964i | ||||
\(619\) | 22.5746 | + | 35.1268i | 0.907352 | + | 1.41187i | 0.911241 | + | 0.411874i | \(0.135126\pi\) |
−0.00388892 | + | 0.999992i | \(0.501238\pi\) | |||||||
\(620\) | −28.9360 | −1.16210 | ||||||||
\(621\) | 19.2796 | − | 15.7891i | 0.773664 | − | 0.633596i | ||||
\(622\) | 4.80371 | 0.192611 | ||||||||
\(623\) | 19.6285 | + | 30.5425i | 0.786398 | + | 1.22366i | ||||
\(624\) | −0.0466131 | − | 1.15093i | −0.00186602 | − | 0.0460740i | ||||
\(625\) | −7.26030 | + | 15.8978i | −0.290412 | + | 0.635914i | ||||
\(626\) | 12.1317 | − | 3.56220i | 0.484882 | − | 0.142374i | ||||
\(627\) | −1.65597 | + | 1.16152i | −0.0661329 | + | 0.0463868i | ||||
\(628\) | −1.29960 | + | 1.12611i | −0.0518597 | + | 0.0449367i | ||||
\(629\) | −32.0763 | + | 4.61187i | −1.27897 | + | 0.183887i | ||||
\(630\) | 23.9465 | − | 1.94288i | 0.954051 | − | 0.0774060i | ||||
\(631\) | 29.5322 | + | 25.5898i | 1.17566 | + | 1.01871i | 0.999409 | + | 0.0343665i | \(0.0109414\pi\) |
0.176247 | + | 0.984346i | \(0.443604\pi\) | |||||||
\(632\) | −4.37804 | − | 2.81360i | −0.174149 | − | 0.111919i | ||||
\(633\) | 16.0674 | + | 6.56554i | 0.638620 | + | 0.260957i | ||||
\(634\) | 3.25951 | − | 3.76168i | 0.129452 | − | 0.149395i | ||||
\(635\) | −69.5049 | − | 20.4085i | −2.75822 | − | 0.809886i | ||||
\(636\) | −6.55685 | − | 19.3905i | −0.259996 | − | 0.768882i | ||||
\(637\) | 0.557192 | + | 0.643034i | 0.0220768 | + | 0.0254779i | ||||
\(638\) | 0.442102 | + | 0.968069i | 0.0175030 | + | 0.0383262i | ||||
\(639\) | 7.16770 | + | 9.38659i | 0.283550 | + | 0.371328i | ||||
\(640\) | 3.04573 | + | 1.39094i | 0.120393 | + | 0.0549816i | ||||
\(641\) | −4.47358 | + | 31.1145i | −0.176696 | + | 1.22895i | 0.687647 | + | 0.726045i | \(0.258644\pi\) |
−0.864343 | + | 0.502902i | \(0.832266\pi\) | |||||||
\(642\) | −2.46520 | − | 2.62257i | −0.0972935 | − | 0.103504i | ||||
\(643\) | 15.5189i | 0.612005i | 0.952031 | + | 0.306003i | \(0.0989916\pi\) | ||||
−0.952031 | + | 0.306003i | \(0.901008\pi\) | |||||||
\(644\) | 7.56729 | − | 8.62029i | 0.298193 | − | 0.339687i | ||||
\(645\) | 6.12386 | + | 33.0380i | 0.241127 | + | 1.30087i | ||||
\(646\) | 19.7955 | − | 12.7218i | 0.778844 | − | 0.500533i | ||||
\(647\) | 18.9730 | + | 2.72790i | 0.745904 | + | 0.107245i | 0.504778 | − | 0.863249i | \(-0.331574\pi\) |
0.241126 | + | 0.970494i | \(0.422483\pi\) | |||||||
\(648\) | 8.58540 | − | 2.70018i | 0.337266 | − | 0.106073i | ||||
\(649\) | 0.499636 | + | 1.70160i | 0.0196124 | + | 0.0667937i | ||||
\(650\) | −3.75736 | + | 1.71593i | −0.147376 | + | 0.0673042i | ||||
\(651\) | −22.3305 | + | 27.9831i | −0.875201 | + | 1.09674i | ||||
\(652\) | −0.141653 | − | 0.985219i | −0.00554756 | − | 0.0385842i | ||||
\(653\) | −0.503391 | + | 1.71439i | −0.0196992 | + | 0.0670894i | −0.968756 | − | 0.248016i | \(-0.920222\pi\) |
0.949057 | + | 0.315105i | \(0.102040\pi\) | |||||||
\(654\) | 2.54903 | − | 4.34333i | 0.0996751 | − | 0.169837i | ||||
\(655\) | −18.4209 | + | 28.6635i | −0.719765 | + | 1.11998i | ||||
\(656\) | −1.51966 | + | 2.36464i | −0.0593328 | + | 0.0923236i | ||||
\(657\) | 6.21237 | − | 17.1550i | 0.242368 | − | 0.669279i | ||||
\(658\) | 5.31019 | − | 18.0848i | 0.207013 | − | 0.705021i | ||||
\(659\) | 0.757007 | + | 5.26510i | 0.0294888 | + | 0.205099i | 0.999239 | − | 0.0389994i | \(-0.0124170\pi\) |
−0.969750 | + | 0.244099i | \(0.921508\pi\) | |||||||
\(660\) | 0.790726 | + | 0.630999i | 0.0307790 | + | 0.0245616i | ||||
\(661\) | −10.3085 | + | 4.70775i | −0.400956 | + | 0.183110i | −0.605678 | − | 0.795710i | \(-0.707098\pi\) |
0.204722 | + | 0.978820i | \(0.434371\pi\) | |||||||
\(662\) | 2.25050 | + | 7.66449i | 0.0874681 | + | 0.297889i | ||||
\(663\) | −0.982498 | + | 3.92762i | −0.0381571 | + | 0.152536i | ||||
\(664\) | 11.7677 | + | 1.69194i | 0.456675 | + | 0.0656599i | ||||
\(665\) | 45.1032 | − | 28.9861i | 1.74903 | − | 1.12403i | ||||
\(666\) | −25.8220 | + | 9.91321i | −1.00058 | + | 0.384129i | ||||
\(667\) | −24.5122 | − | 15.9771i | −0.949117 | − | 0.618635i | ||||
\(668\) | 11.0750i | 0.428505i | ||||||||
\(669\) | −5.82402 | + | 5.47454i | −0.225169 | + | 0.211658i | ||||
\(670\) | −3.56432 | + | 24.7904i | −0.137702 | + | 0.957735i | ||||
\(671\) | −0.0993463 | − | 0.0453699i | −0.00383522 | − | 0.00175149i | ||||
\(672\) | 3.69558 | − | 1.87201i | 0.142560 | − | 0.0722144i | ||||
\(673\) | 2.75706 | + | 6.03712i | 0.106277 | + | 0.232714i | 0.955298 | − | 0.295645i | \(-0.0955347\pi\) |
−0.849021 | + | 0.528359i | \(0.822807\pi\) | |||||||
\(674\) | 5.27952 | + | 6.09289i | 0.203359 | + | 0.234689i | ||||
\(675\) | −20.6092 | − | 24.8371i | −0.793248 | − | 0.955982i | ||||
\(676\) | −12.0491 | − | 3.53792i | −0.463425 | − | 0.136074i | ||||
\(677\) | −21.5893 | + | 24.9153i | −0.829743 | + | 0.957575i | −0.999611 | − | 0.0278922i | \(-0.991120\pi\) |
0.169868 | + | 0.985467i | \(0.445666\pi\) | |||||||
\(678\) | −6.81863 | + | 16.6867i | −0.261868 | + | 0.640849i | ||||
\(679\) | 7.88880 | + | 5.06982i | 0.302744 | + | 0.194562i | ||||
\(680\) | −8.89423 | − | 7.70689i | −0.341078 | − | 0.295546i | ||||
\(681\) | −6.92259 | − | 0.710810i | −0.265274 | − | 0.0272383i | ||||
\(682\) | −1.49214 | + | 0.214537i | −0.0571368 | + | 0.00821504i | ||||
\(683\) | 4.45133 | − | 3.85710i | 0.170325 | − | 0.147588i | −0.565527 | − | 0.824730i | \(-0.691327\pi\) |
0.735852 | + | 0.677142i | \(0.236782\pi\) | |||||||
\(684\) | 14.0654 | − | 14.3368i | 0.537803 | − | 0.548182i | ||||
\(685\) | −33.0506 | + | 9.70455i | −1.26280 | + | 0.370792i | ||||
\(686\) | −8.22625 | + | 18.0130i | −0.314080 | + | 0.687739i | ||||
\(687\) | −11.2039 | + | 0.453762i | −0.427454 | + | 0.0173121i | ||||
\(688\) | 3.13236 | + | 4.87405i | 0.119420 | + | 0.185821i | ||||
\(689\) | 7.85924 | 0.299413 | ||||||||
\(690\) | −27.6488 | − | 3.01908i | −1.05257 | − | 0.114934i | ||||
\(691\) | 14.0488 | 0.534442 | 0.267221 | − | 0.963635i | \(-0.413895\pi\) | ||||
0.267221 | + | 0.963635i | \(0.413895\pi\) | |||||||
\(692\) | 1.30865 | + | 2.03629i | 0.0497473 | + | 0.0774083i | ||||
\(693\) | 1.22044 | − | 0.277731i | 0.0463606 | − | 0.0105501i | ||||
\(694\) | −0.644637 | + | 1.41156i | −0.0244701 | + | 0.0535820i | ||||
\(695\) | −8.20793 | + | 2.41007i | −0.311344 | + | 0.0914190i | ||||
\(696\) | −6.06817 | − | 8.65128i | −0.230013 | − | 0.327926i | ||||
\(697\) | 7.46656 | − | 6.46981i | 0.282816 | − | 0.245061i | ||||
\(698\) | −1.63959 | + | 0.235738i | −0.0620595 | + | 0.00892281i | ||||
\(699\) | 3.68740 | − | 35.9116i | 0.139470 | − | 1.35830i | ||||
\(700\) | −11.2272 | − | 9.72842i | −0.424348 | − | 0.367700i | ||||
\(701\) | 7.79469 | + | 5.00934i | 0.294401 | + | 0.189200i | 0.679501 | − | 0.733675i | \(-0.262196\pi\) |
−0.385099 | + | 0.922875i | \(0.625833\pi\) | |||||||
\(702\) | −0.0738223 | + | 3.45483i | −0.00278624 | + | 0.130394i | ||||
\(703\) | −40.4210 | + | 46.6483i | −1.52451 | + | 1.75937i | ||||
\(704\) | 0.167371 | + | 0.0491445i | 0.00630803 | + | 0.00185220i | ||||
\(705\) | −43.2942 | + | 14.6398i | −1.63055 | + | 0.551368i | ||||
\(706\) | 13.7977 | + | 15.9234i | 0.519284 | + | 0.599286i | ||||
\(707\) | −13.3101 | − | 29.1451i | −0.500579 | − | 1.09611i | ||||
\(708\) | −7.95732 | − | 15.7087i | −0.299054 | − | 0.590370i | ||||
\(709\) | 37.3484 | + | 17.0564i | 1.40265 | + | 0.640568i | 0.965876 | − | 0.259004i | \(-0.0833944\pi\) |
0.436772 | + | 0.899572i | \(0.356122\pi\) | |||||||
\(710\) | 1.87593 | − | 13.0474i | 0.0704024 | − | 0.489660i | ||||
\(711\) | 12.5873 | + | 9.23639i | 0.472062 | + | 0.346392i | ||||
\(712\) | − | 15.1795i | − | 0.568875i | ||||||
\(713\) | 31.4966 | − | 26.9387i | 1.17956 | − | 1.00886i | ||||
\(714\) | −14.3169 | + | 2.65376i | −0.535798 | + | 0.0993145i | ||||
\(715\) | −0.326764 | + | 0.209998i | −0.0122203 | + | 0.00785350i | ||||
\(716\) | −12.5285 | − | 1.80133i | −0.468213 | − | 0.0673189i | ||||
\(717\) | −15.2140 | − | 3.80581i | −0.568179 | − | 0.142131i | ||||
\(718\) | 1.55152 | + | 5.28399i | 0.0579022 | + | 0.197197i | ||||
\(719\) | −13.1320 | + | 5.99720i | −0.489742 | + | 0.223658i | −0.644951 | − | 0.764224i | \(-0.723122\pi\) |
0.155209 | + | 0.987882i | \(0.450395\pi\) | |||||||
\(720\) | −8.86182 | − | 4.72955i | −0.330261 | − | 0.176260i | ||||
\(721\) | −0.446878 | − | 3.10811i | −0.0166426 | − | 0.115752i | ||||
\(722\) | 7.27429 | − | 24.7740i | 0.270721 | − | 0.921991i | ||||
\(723\) | 6.06979 | + | 3.56227i | 0.225738 | + | 0.132482i | ||||
\(724\) | 5.00157 | − | 7.78259i | 0.185882 | − | 0.289238i | ||||
\(725\) | −20.4873 | + | 31.8788i | −0.760879 | + | 1.18395i | ||||
\(726\) | −16.3863 | − | 9.61687i | −0.608152 | − | 0.356915i | ||||
\(727\) | −3.71466 | + | 12.6510i | −0.137769 | + | 0.469199i | −0.999255 | − | 0.0385823i | \(-0.987716\pi\) |
0.861486 | + | 0.507781i | \(0.169534\pi\) | |||||||
\(728\) | 0.226367 | + | 1.57442i | 0.00838973 | + | 0.0583519i | ||||
\(729\) | −26.2076 | + | 6.49322i | −0.970652 | + | 0.240489i | ||||
\(730\) | −18.5233 | + | 8.45930i | −0.685577 | + | 0.313093i | ||||
\(731\) | −5.73726 | − | 19.5393i | −0.212200 | − | 0.722688i | ||||
\(732\) | 1.05203 | + | 0.263167i | 0.0388842 | + | 0.00972692i | ||||
\(733\) | −32.6830 | − | 4.69910i | −1.20717 | − | 0.173565i | −0.490794 | − | 0.871276i | \(-0.663293\pi\) |
−0.716380 | + | 0.697711i | \(0.754202\pi\) | |||||||
\(734\) | 12.4978 | − | 8.03187i | 0.461303 | − | 0.296462i | ||||
\(735\) | 7.29564 | − | 1.35231i | 0.269104 | − | 0.0498806i | ||||
\(736\) | −4.61017 | + | 1.32147i | −0.169933 | + | 0.0487101i | ||||
\(737\) | 1.30478i | 0.0480624i | ||||||||
\(738\) | 4.98869 | − | 6.79859i | 0.183636 | − | 0.250260i | ||||
\(739\) | 6.07636 | − | 42.2620i | 0.223522 | − | 1.55463i | −0.501040 | − | 0.865424i | \(-0.667049\pi\) |
0.724563 | − | 0.689209i | \(-0.242042\pi\) | |||||||
\(740\) | 28.0811 | + | 12.8242i | 1.03228 | + | 0.471427i | ||||
\(741\) | 3.48472 | + | 6.87925i | 0.128014 | + | 0.252716i | ||||
\(742\) | 11.7419 | + | 25.7112i | 0.431060 | + | 0.943889i | ||||
\(743\) | 4.25720 | + | 4.91307i | 0.156181 | + | 0.180243i | 0.828448 | − | 0.560067i | \(-0.189224\pi\) |
−0.672266 | + | 0.740309i | \(0.734679\pi\) | |||||||
\(744\) | 14.1796 | − | 4.79481i | 0.519850 | − | 0.175786i | ||||
\(745\) | 58.5281 | + | 17.1854i | 2.14431 | + | 0.629625i | ||||
\(746\) | 2.97492 | − | 3.43324i | 0.108920 | − | 0.125700i | ||||
\(747\) | −34.9219 | − | 7.24797i | −1.27772 | − | 0.265189i | ||||
\(748\) | −0.515787 | − | 0.331476i | −0.0188590 | − | 0.0121200i | ||||
\(749\) | 3.75627 | + | 3.25483i | 0.137251 | + | 0.118929i | ||||
\(750\) | −0.717462 | + | 6.98736i | −0.0261980 | + | 0.255142i | ||||
\(751\) | 40.7209 | − | 5.85478i | 1.48593 | − | 0.213644i | 0.648928 | − | 0.760850i | \(-0.275217\pi\) |
0.836998 | + | 0.547206i | \(0.184308\pi\) | |||||||
\(752\) | −5.95567 | + | 5.16062i | −0.217181 | + | 0.188188i | ||||
\(753\) | 5.22490 | + | 7.44906i | 0.190406 | + | 0.271459i | ||||
\(754\) | 3.89303 | − | 1.14310i | 0.141776 | − | 0.0416291i | ||||
\(755\) | −9.87536 | + | 21.6240i | −0.359401 | + | 0.786979i | ||||
\(756\) | −11.4126 | + | 4.92010i | −0.415074 | + | 0.178942i | ||||
\(757\) | −23.4969 | − | 36.5618i | −0.854008 | − | 1.32886i | −0.942987 | − | 0.332829i | \(-0.891997\pi\) |
0.0889786 | − | 0.996034i | \(-0.471640\pi\) | |||||||
\(758\) | 31.3546 | 1.13885 | ||||||||
\(759\) | −1.44814 | + | 0.0493089i | −0.0525642 | + | 0.00178980i | ||||
\(760\) | −22.4161 | −0.813119 | ||||||||
\(761\) | −18.9836 | − | 29.5390i | −0.688154 | − | 1.07079i | −0.992969 | − | 0.118377i | \(-0.962231\pi\) |
0.304815 | − | 0.952412i | \(-0.401405\pi\) | |||||||
\(762\) | 37.4415 | − | 1.51640i | 1.35636 | − | 0.0549333i | ||||
\(763\) | −2.88891 | + | 6.32583i | −0.104586 | + | 0.229010i | ||||
\(764\) | 1.41130 | − | 0.414394i | 0.0510589 | − | 0.0149923i | ||||
\(765\) | 25.2027 | + | 24.7256i | 0.911207 | + | 0.893954i | ||||
\(766\) | 8.34232 | − | 7.22866i | 0.301420 | − | 0.261182i | ||||
\(767\) | 6.69235 | − | 0.962214i | 0.241647 | − | 0.0347435i | ||||
\(768\) | −1.72299 | − | 0.176917i | −0.0621731 | − | 0.00638393i | ||||
\(769\) | −7.25051 | − | 6.28260i | −0.261460 | − | 0.226556i | 0.514259 | − | 0.857635i | \(-0.328067\pi\) |
−0.775719 | + | 0.631079i | \(0.782613\pi\) | |||||||
\(770\) | −1.17520 | − | 0.755253i | −0.0423512 | − | 0.0272174i | ||||
\(771\) | −11.9765 | + | 29.3093i | −0.431325 | + | 1.05555i | ||||
\(772\) | −4.01589 | + | 4.63458i | −0.144535 | + | 0.166802i | ||||
\(773\) | −11.4452 | − | 3.36061i | −0.411655 | − | 0.120873i | 0.0693464 | − | 0.997593i | \(-0.477909\pi\) |
−0.481001 | + | 0.876720i | \(0.659727\pi\) | |||||||
\(774\) | −8.47542 | − | 15.1750i | −0.304643 | − | 0.545453i | ||||
\(775\) | −35.1508 | − | 40.5662i | −1.26265 | − | 1.45718i | ||||
\(776\) | −1.62872 | − | 3.56640i | −0.0584676 | − | 0.128026i | ||||
\(777\) | 34.0726 | − | 17.2596i | 1.22235 | − | 0.619185i | ||||
\(778\) | 7.96729 | + | 3.63854i | 0.285641 | + | 0.130448i | ||||
\(779\) | 2.67808 | − | 18.6264i | 0.0959521 | − | 0.667361i | ||||
\(780\) | 2.81020 | − | 2.64157i | 0.100621 | − | 0.0945832i | ||||
\(781\) | − | 0.686720i | − | 0.0245728i | ||||||
\(782\) | 16.8562 | + | 0.108584i | 0.602777 | + | 0.00388297i | ||||
\(783\) | 16.5657 | + | 27.0293i | 0.592008 | + | 0.965950i | ||||
\(784\) | 1.07632 | − | 0.691706i | 0.0384398 | − | 0.0247038i | ||||
\(785\) | −5.69921 | − | 0.819423i | −0.203414 | − | 0.0292464i | ||||
\(786\) | 4.27721 | − | 17.0985i | 0.152563 | − | 0.609883i | ||||
\(787\) | −13.0008 | − | 44.2766i | −0.463428 | − | 1.57829i | −0.777495 | − | 0.628889i | \(-0.783510\pi\) |
0.314068 | − | 0.949401i | \(-0.398308\pi\) | |||||||
\(788\) | 19.8344 | − | 9.05808i | 0.706572 | − | 0.322681i | ||||
\(789\) | −31.4046 | − | 25.0609i | −1.11803 | − | 0.892190i | ||||
\(790\) | −2.47987 | − | 17.2479i | −0.0882298 | − | 0.613651i | ||||
\(791\) | 7.01290 | − | 23.8838i | 0.249350 | − | 0.849209i | ||||
\(792\) | −0.492041 | − | 0.178184i | −0.0174839 | − | 0.00633150i | ||||
\(793\) | −0.225113 | + | 0.350282i | −0.00799399 | + | 0.0124389i | ||||
\(794\) | −11.6929 | + | 18.1945i | −0.414965 | + | 0.645698i | ||||
\(795\) | 34.6902 | − | 59.1090i | 1.23033 | − | 2.09638i | ||||
\(796\) | 0.120276 | − | 0.409622i | 0.00426306 | − | 0.0145187i | ||||
\(797\) | 6.37259 | + | 44.3223i | 0.225729 | + | 1.56998i | 0.715807 | + | 0.698298i | \(0.246059\pi\) |
−0.490078 | + | 0.871678i | \(0.663032\pi\) | |||||||
\(798\) | −17.2990 | + | 21.6779i | −0.612377 | + | 0.767390i | ||||
\(799\) | 25.1955 | − | 11.5064i | 0.891354 | − | 0.407068i | ||||
\(800\) | 1.74989 | + | 5.95957i | 0.0618679 | + | 0.210703i | ||||
\(801\) | −2.81444 | + | 45.4514i | −0.0994434 | + | 1.60595i | ||||
\(802\) | −31.2856 | − | 4.49819i | −1.10473 | − | 0.158837i | ||||
\(803\) | −0.892466 | + | 0.573553i | −0.0314945 | + | 0.0202403i | ||||
\(804\) | −2.36123 | − | 12.7387i | −0.0832740 | − | 0.449260i | ||||
\(805\) | 38.4061 | + | 0.247405i | 1.35364 | + | 0.00871986i | ||||
\(806\) | 5.74721i | 0.202437i | ||||||||
\(807\) | 10.8557 | + | 11.5487i | 0.382140 | + | 0.406535i | ||||
\(808\) | −1.90647 | + | 13.2598i | −0.0670694 | + | 0.466478i | ||||
\(809\) | 32.3825 | + | 14.7886i | 1.13851 | + | 0.519939i | 0.893269 | − | 0.449523i | \(-0.148406\pi\) |
0.245239 | + | 0.969463i | \(0.421133\pi\) | |||||||
\(810\) | 25.6577 | + | 15.8046i | 0.901521 | + | 0.555317i | ||||
\(811\) | −3.11653 | − | 6.82424i | −0.109436 | − | 0.239631i | 0.846988 | − | 0.531611i | \(-0.178413\pi\) |
−0.956424 | + | 0.291980i | \(0.905686\pi\) | |||||||
\(812\) | 9.55590 | + | 11.0281i | 0.335346 | + | 0.387010i | ||||
\(813\) | 14.8334 | + | 43.8665i | 0.520229 | + | 1.53846i | ||||
\(814\) | 1.54313 | + | 0.453104i | 0.0540867 | + | 0.0158813i | ||||
\(815\) | 2.18248 | − | 2.51872i | 0.0764489 | − | 0.0882268i | ||||
\(816\) | 5.63553 | + | 2.30282i | 0.197283 | + | 0.0806150i | ||||
\(817\) | −32.6306 | − | 20.9704i | −1.14160 | − | 0.733662i | ||||
\(818\) | 6.35172 | + | 5.50380i | 0.222083 | + | 0.192436i | ||||
\(819\) | −0.385890 | − | 4.75620i | −0.0134841 | − | 0.166195i | ||||
\(820\) | −9.31580 | + | 1.33941i | −0.325322 | + | 0.0467742i | ||||
\(821\) | 40.4292 | − | 35.0321i | 1.41099 | − | 1.22263i | 0.470684 | − | 0.882302i | \(-0.344007\pi\) |
0.940307 | − | 0.340328i | \(-0.110538\pi\) | |||||||
\(822\) | 14.5878 | − | 10.2322i | 0.508809 | − | 0.356888i | ||||
\(823\) | 7.35580 | − | 2.15986i | 0.256407 | − | 0.0752879i | −0.151003 | − | 0.988533i | \(-0.548250\pi\) |
0.407410 | + | 0.913245i | \(0.366432\pi\) | |||||||
\(824\) | −0.545382 | + | 1.19422i | −0.0189993 | + | 0.0416026i | ||||
\(825\) | 0.0759410 | + | 1.87507i | 0.00264393 | + | 0.0652814i | ||||
\(826\) | 13.1464 | + | 20.4562i | 0.457422 | + | 0.711762i | ||||
\(827\) | −43.2407 | −1.50363 | −0.751813 | − | 0.659377i | \(-0.770820\pi\) | ||||
−0.751813 | + | 0.659377i | \(0.770820\pi\) | |||||||
\(828\) | 14.0491 | − | 3.10206i | 0.488240 | − | 0.107804i | ||||
\(829\) | −44.6571 | −1.55100 | −0.775502 | − | 0.631345i | \(-0.782503\pi\) | ||||
−0.775502 | + | 0.631345i | \(0.782503\pi\) | |||||||
\(830\) | 21.5213 | + | 33.4878i | 0.747015 | + | 1.16238i | ||||
\(831\) | 1.94833 | + | 48.1063i | 0.0675867 | + | 1.66879i | ||||
\(832\) | 0.276265 | − | 0.604936i | 0.00957776 | − | 0.0209724i | ||||
\(833\) | −4.31479 | + | 1.26694i | −0.149498 | + | 0.0438967i | ||||
\(834\) | 3.62280 | − | 2.54110i | 0.125447 | − | 0.0879910i | ||||
\(835\) | −28.0251 | + | 24.2839i | −0.969848 | + | 0.840378i | ||||
\(836\) | −1.15593 | + | 0.166197i | −0.0399786 | + | 0.00574805i | ||||
\(837\) | −43.3465 | + | 11.7279i | −1.49827 | + | 0.405375i | ||||
\(838\) | −2.90421 | − | 2.51651i | −0.100324 | − | 0.0869314i | ||||
\(839\) | −3.24484 | − | 2.08533i | −0.112024 | − | 0.0719936i | 0.483429 | − | 0.875384i | \(-0.339391\pi\) |
−0.595453 | + | 0.803390i | \(0.703027\pi\) | |||||||
\(840\) | 12.8403 | + | 5.24689i | 0.443033 | + | 0.181035i | ||||
\(841\) | 5.38455 | − | 6.21410i | 0.185674 | − | 0.214279i | ||||
\(842\) | −9.66048 | − | 2.83657i | −0.332922 | − | 0.0977547i | ||||
\(843\) | 11.1698 | + | 33.0322i | 0.384708 | + | 1.13769i | ||||
\(844\) | 6.56241 | + | 7.57343i | 0.225888 | + | 0.260688i | ||||
\(845\) | −17.4670 | − | 38.2474i | −0.600884 | − | 1.31575i | ||||
\(846\) | 18.7897 | − | 14.3480i | 0.646003 | − | 0.493295i | ||||
\(847\) | 23.8658 | + | 10.8991i | 0.820038 | + | 0.374499i | ||||
\(848\) | 1.68185 | − | 11.6975i | 0.0577550 | − | 0.401695i | ||||
\(849\) | −12.4993 | − | 13.2973i | −0.428976 | − | 0.456361i | ||||
\(850\) | − | 21.8312i | − | 0.748805i | ||||||
\(851\) | −42.5050 | + | 12.1837i | −1.45705 | + | 0.417653i | ||||
\(852\) | 1.24273 | + | 6.70450i | 0.0425753 | + | 0.229692i | ||||
\(853\) | 37.7963 | − | 24.2902i | 1.29412 | − | 0.831681i | 0.301562 | − | 0.953447i | \(-0.402492\pi\) |
0.992559 | + | 0.121766i | \(0.0388557\pi\) | |||||||
\(854\) | −1.48226 | − | 0.213117i | −0.0507219 | − | 0.00729271i | ||||
\(855\) | 67.1198 | + | 4.15619i | 2.29545 | + | 0.142139i | ||||
\(856\) | −0.585458 | − | 1.99389i | −0.0200106 | − | 0.0681497i | ||||
\(857\) | 11.3382 | − | 5.17799i | 0.387306 | − | 0.176877i | −0.212239 | − | 0.977218i | \(-0.568075\pi\) |
0.599545 | + | 0.800341i | \(0.295348\pi\) | |||||||
\(858\) | 0.125328 | − | 0.157052i | 0.00427862 | − | 0.00536168i | ||||
\(859\) | −7.66120 | − | 53.2848i | −0.261397 | − | 1.81806i | −0.522381 | − | 0.852712i | \(-0.674956\pi\) |
0.260984 | − | 0.965343i | \(-0.415953\pi\) | |||||||
\(860\) | −5.46544 | + | 18.6136i | −0.186370 | + | 0.634718i | ||||
\(861\) | −5.89389 | + | 10.0427i | −0.200863 | + | 0.342253i | ||||
\(862\) | −0.479949 | + | 0.746816i | −0.0163471 | + | 0.0254366i | ||||
\(863\) | −15.1208 | + | 23.5285i | −0.514719 | + | 0.800919i | −0.997184 | − | 0.0749969i | \(-0.976105\pi\) |
0.482465 | + | 0.875915i | \(0.339742\pi\) | |||||||
\(864\) | 5.12629 | + | 0.849196i | 0.174400 | + | 0.0288902i | ||||
\(865\) | −2.28337 | + | 7.77644i | −0.0776368 | + | 0.264407i | ||||
\(866\) | 1.95055 | + | 13.5664i | 0.0662823 | + | 0.461004i | ||||
\(867\) | 6.28979 | + | 5.01925i | 0.213613 | + | 0.170463i | ||||
\(868\) | −18.8018 | + | 8.58649i | −0.638174 | + | 0.291444i | ||||
\(869\) | −0.255757 | − | 0.871030i | −0.00867598 | − | 0.0295477i | ||||
\(870\) | 8.58640 | − | 34.3248i | 0.291106 | − | 1.16372i | ||||
\(871\) | 4.92381 | + | 0.707937i | 0.166837 | + | 0.0239875i | ||||
\(872\) | 2.44601 | − | 1.57196i | 0.0828324 | − | 0.0532331i | ||||
\(873\) | 4.21557 | + | 10.9807i | 0.142675 | + | 0.371641i | ||||
\(874\) | 24.3998 | − | 20.8688i | 0.825334 | − | 0.705899i | ||||
\(875\) | − | 9.69952i | − | 0.327904i | ||||||
\(876\) | 7.67528 | − | 7.21471i | 0.259324 | − | 0.243763i | ||||
\(877\) | 0.183098 | − | 1.27348i | 0.00618280 | − | 0.0430023i | −0.986496 | − | 0.163782i | \(-0.947631\pi\) |
0.992679 | + | 0.120780i | \(0.0385396\pi\) | |||||||
\(878\) | −24.0938 | − | 11.0033i | −0.813125 | − | 0.371342i | ||||
\(879\) | 2.32967 | − | 1.18010i | 0.0785777 | − | 0.0398039i | ||||
\(880\) | 0.242631 | + | 0.531287i | 0.00817908 | + | 0.0179097i | ||||
\(881\) | −27.3633 | − | 31.5789i | −0.921892 | − | 1.06392i | −0.997766 | − | 0.0668030i | \(-0.978720\pi\) |
0.0758739 | − | 0.997117i | \(-0.475825\pi\) | |||||||
\(882\) | −3.35102 | + | 1.87159i | −0.112835 | + | 0.0630197i | ||||
\(883\) | −44.5467 | − | 13.0801i | −1.49912 | − | 0.440180i | −0.573678 | − | 0.819081i | \(-0.694484\pi\) |
−0.925437 | + | 0.378901i | \(0.876302\pi\) | |||||||
\(884\) | −1.53073 | + | 1.76655i | −0.0514839 | + | 0.0594156i | ||||
\(885\) | 22.3028 | − | 54.5800i | 0.749701 | − | 1.83469i | ||||
\(886\) | −2.81821 | − | 1.81115i | −0.0946796 | − | 0.0608469i | ||||
\(887\) | −2.25405 | − | 1.95314i | −0.0756835 | − | 0.0655801i | 0.616198 | − | 0.787592i | \(-0.288672\pi\) |
−0.691881 | + | 0.722012i | \(0.743218\pi\) | |||||||
\(888\) | −15.8857 | − | 1.63114i | −0.533088 | − | 0.0547375i | ||||
\(889\) | −51.2183 | + | 7.36408i | −1.71781 | + | 0.246983i | ||||
\(890\) | 38.4114 | − | 33.2837i | 1.28755 | − | 1.11567i | ||||
\(891\) | 1.44026 | + | 0.624760i | 0.0482507 | + | 0.0209303i | ||||
\(892\) | −4.42789 | + | 1.30015i | −0.148257 | + | 0.0435321i | ||||
\(893\) | 21.9165 | − | 47.9903i | 0.733406 | − | 1.60594i | ||||
\(894\) | −31.5284 | + | 1.27692i | −1.05447 | + | 0.0427065i | ||||
\(895\) | −22.9128 | − | 35.6530i | −0.765889 | − | 1.19175i | ||||
\(896\) | 2.39177 | 0.0799036 | ||||||||
\(897\) | −0.599643 | + | 5.49154i | −0.0200215 | + | 0.183357i | ||||
\(898\) | 32.7670 | 1.09345 | ||||||||
\(899\) | 28.5052 | + | 44.3550i | 0.950702 | + | 1.47932i | ||||
\(900\) | −4.13466 | − | 18.1690i | −0.137822 | − | 0.605633i | ||||
\(901\) | −17.2554 | + | 37.7840i | −0.574860 | + | 1.25877i | ||||
\(902\) | −0.470455 | + | 0.138138i | −0.0156644 | + | 0.00459949i | ||||
\(903\) | 13.7828 | + | 19.6499i | 0.458663 | + | 0.653909i | ||||
\(904\) | −7.86536 | + | 6.81537i | −0.261598 | + | 0.226676i | ||||
\(905\) | 30.6605 | − | 4.40832i | 1.01919 | − | 0.146537i | ||||
\(906\) | 1.25607 | − | 12.2329i | 0.0417301 | − | 0.406410i | ||||
\(907\) | −3.54906 | − | 3.07528i | −0.117845 | − | 0.102113i | 0.593945 | − | 0.804506i | \(-0.297570\pi\) |
−0.711790 | + | 0.702393i | \(0.752115\pi\) | |||||||
\(908\) | −3.37996 | − | 2.17217i | −0.112168 | − | 0.0720860i | ||||
\(909\) | 8.16698 | − | 39.3498i | 0.270882 | − | 1.30515i | ||||
\(910\) | −3.48769 | + | 4.02501i | −0.115616 | + | 0.133428i | ||||
\(911\) | −21.8033 | − | 6.40202i | −0.722375 | − | 0.212108i | −0.100178 | − | 0.994970i | \(-0.531941\pi\) |
−0.622196 | + | 0.782861i | \(0.713760\pi\) | |||||||
\(912\) | 10.9846 | − | 3.71444i | 0.363738 | − | 0.122997i | ||||
\(913\) | 1.35807 | + | 1.56729i | 0.0449455 | + | 0.0518699i | ||||
\(914\) | 9.08484 | + | 19.8930i | 0.300500 | + | 0.658002i | ||||
\(915\) | 1.64082 | + | 3.23918i | 0.0542439 | + | 0.107084i | ||||
\(916\) | −5.88883 | − | 2.68934i | −0.194572 | − | 0.0888582i | ||||
\(917\) | −3.46376 | + | 24.0909i | −0.114383 | + | 0.795553i | ||||
\(918\) | −16.4473 | − | 7.94015i | −0.542842 | − | 0.262064i | ||||
\(919\) | − | 6.89830i | − | 0.227554i | −0.993506 | − | 0.113777i | \(-0.963705\pi\) | ||
0.993506 | − | 0.113777i | \(-0.0362949\pi\) | |||||||
\(920\) | −13.4526 | − | 8.76841i | −0.443518 | − | 0.289086i | ||||
\(921\) | 25.8162 | − | 4.78524i | 0.850672 | − | 0.157679i | ||||
\(922\) | 27.2117 | − | 17.4879i | 0.896170 | − | 0.575934i | ||||
\(923\) | −2.59144 | − | 0.372593i | −0.0852984 | − | 0.0122641i | ||||
\(924\) | 0.701034 | + | 0.175365i | 0.0230623 | + | 0.00576907i | ||||
\(925\) | 16.1337 | + | 54.9462i | 0.530471 | + | 1.80662i | ||||
\(926\) | −11.9997 | + | 5.48008i | −0.394334 | + | 0.180087i | ||||
\(927\) | 1.85444 | − | 3.47469i | 0.0609078 | − | 0.114124i | ||||
\(928\) | −0.868266 | − | 6.03892i | −0.0285022 | − | 0.198237i | ||||
\(929\) | −4.60284 | + | 15.6758i | −0.151014 | + | 0.514307i | −0.999898 | − | 0.0142720i | \(-0.995457\pi\) |
0.848884 | + | 0.528579i | \(0.177275\pi\) | |||||||
\(930\) | 43.2245 | + | 25.3678i | 1.41739 | + | 0.831843i | ||||
\(931\) | −4.63081 | + | 7.20568i | −0.151769 | + | 0.236156i | ||||
\(932\) | 11.2684 | − | 17.5339i | 0.369107 | − | 0.574342i | ||||
\(933\) | −7.17576 | − | 4.21135i | −0.234924 | − | 0.137873i | ||||
\(934\) | −6.61780 | + | 22.5381i | −0.216541 | + | 0.737471i | ||||
\(935\) | −0.292159 | − | 2.03201i | −0.00955461 | − | 0.0664538i | ||||
\(936\) | −0.939372 | + | 1.76012i | −0.0307043 | + | 0.0575312i | ||||
\(937\) | 36.9123 | − | 16.8573i | 1.20587 | − | 0.550703i | 0.291888 | − | 0.956453i | \(-0.405717\pi\) |
0.913984 | + | 0.405749i | \(0.132989\pi\) | |||||||
\(938\) | 5.04032 | + | 17.1657i | 0.164572 | + | 0.560481i | ||||
\(939\) | −21.2453 | − | 5.31453i | −0.693313 | − | 0.173433i | ||||
\(940\) | −26.1177 | − | 3.75516i | −0.851866 | − | 0.122480i | ||||
\(941\) | 2.89516 | − | 1.86061i | 0.0943795 | − | 0.0606540i | −0.492600 | − | 0.870256i | \(-0.663953\pi\) |
0.586979 | + | 0.809602i | \(0.300317\pi\) | |||||||
\(942\) | 2.92858 | − | 0.542837i | 0.0954184 | − | 0.0176866i | ||||
\(943\) | 8.89320 | − | 10.1307i | 0.289603 | − | 0.329901i | ||||
\(944\) | − | 10.1667i | − | 0.330896i | ||||||
\(945\) | −37.4744 | − | 18.0913i | −1.21904 | − | 0.588510i | ||||
\(946\) | −0.143831 | + | 1.00036i | −0.00467634 | + | 0.0325246i | ||||
\(947\) | −5.48974 | − | 2.50708i | −0.178393 | − | 0.0814692i | 0.324217 | − | 0.945983i | \(-0.394899\pi\) |
−0.502609 | + | 0.864514i | \(0.667627\pi\) | |||||||
\(948\) | 4.07326 | + | 8.04110i | 0.132293 | + | 0.261163i | ||||
\(949\) | 1.68017 | + | 3.67905i | 0.0545405 | + | 0.119427i | ||||
\(950\) | −27.2306 | − | 31.4258i | −0.883478 | − | 1.01959i | ||||
\(951\) | −8.16686 | + | 2.76161i | −0.264828 | + | 0.0895513i | ||||
\(952\) | −8.06616 | − | 2.36844i | −0.261426 | − | 0.0767615i | ||||
\(953\) | 13.7021 | − | 15.8131i | 0.443855 | − | 0.512236i | −0.489101 | − | 0.872227i | \(-0.662675\pi\) |
0.932956 | + | 0.359991i | \(0.117220\pi\) | |||||||
\(954\) | −7.20475 | + | 34.7137i | −0.233263 | + | 1.12390i | ||||
\(955\) | 4.14313 | + | 2.66263i | 0.134069 | + | 0.0861607i | ||||
\(956\) | −6.84293 | − | 5.92943i | −0.221316 | − | 0.191771i | ||||
\(957\) | 0.188282 | − | 1.83368i | 0.00608630 | − | 0.0592745i | ||||
\(958\) | −14.5809 | + | 2.09642i | −0.471089 | + | 0.0677324i | ||||
\(959\) | −18.5956 | + | 16.1132i | −0.600484 | + | 0.520322i | ||||
\(960\) | −3.33028 | − | 4.74792i | −0.107484 | − | 0.153239i | ||||
\(961\) | −41.9143 | + | 12.3072i | −1.35207 | + | 0.397005i | ||||
\(962\) | 2.54711 | − | 5.57740i | 0.0821222 | − | 0.179823i | ||||
\(963\) | 1.38333 | + | 6.07878i | 0.0445772 | + | 0.195886i | ||||
\(964\) | 2.19681 | + | 3.41830i | 0.0707543 | + | 0.110096i | ||||
\(965\) | −20.5333 | −0.660989 | ||||||||
\(966\) | −18.8613 | + | 6.24281i | −0.606851 | + | 0.200859i | ||||
\(967\) | −6.16693 | −0.198315 | −0.0991575 | − | 0.995072i | \(-0.531615\pi\) | ||||
−0.0991575 | + | 0.995072i | \(0.531615\pi\) | |||||||
\(968\) | −5.93060 | − | 9.22819i | −0.190617 | − | 0.296605i | ||||
\(969\) | −40.7235 | + | 1.64932i | −1.30823 | + | 0.0529838i | ||||
\(970\) | 5.45345 | − | 11.9414i | 0.175100 | − | 0.383415i | ||||
\(971\) | 29.4740 | − | 8.65436i | 0.945867 | − | 0.277731i | 0.227802 | − | 0.973708i | \(-0.426846\pi\) |
0.718065 | + | 0.695976i | \(0.245028\pi\) | |||||||
\(972\) | −15.1920 | − | 3.49319i | −0.487284 | − | 0.112044i | ||||
\(973\) | −4.61811 | + | 4.00162i | −0.148050 | + | 0.128286i | ||||
\(974\) | −24.7392 | + | 3.55696i | −0.792695 | + | 0.113972i | ||||
\(975\) | 7.11705 | + | 0.730778i | 0.227928 | + | 0.0234036i | ||||
\(976\) | 0.473179 | + | 0.410012i | 0.0151461 | + | 0.0131242i | ||||
\(977\) | 17.3948 | + | 11.1790i | 0.556509 | + | 0.357646i | 0.788465 | − | 0.615080i | \(-0.210876\pi\) |
−0.231956 | + | 0.972726i | \(0.574513\pi\) | |||||||
\(978\) | −0.652127 | + | 1.59590i | −0.0208527 | + | 0.0510313i | ||||
\(979\) | 1.73398 | − | 2.00112i | 0.0554183 | − | 0.0639561i | ||||
\(980\) | 4.11036 | + | 1.20691i | 0.131301 | + | 0.0385533i | ||||
\(981\) | −7.61546 | + | 4.25334i | −0.243143 | + | 0.135799i | ||||
\(982\) | 6.13967 | + | 7.08555i | 0.195925 | + | 0.226109i | ||||
\(983\) | 8.30399 | + | 18.1832i | 0.264856 | + | 0.579954i | 0.994602 | − | 0.103764i | \(-0.0330888\pi\) |
−0.729746 | + | 0.683719i | \(0.760362\pi\) | |||||||
\(984\) | 4.34310 | − | 2.20002i | 0.138453 | − | 0.0701340i | ||||
\(985\) | 66.4118 | + | 30.3292i | 2.11605 | + | 0.966370i | ||||
\(986\) | −3.05181 | + | 21.2258i | −0.0971894 | + | 0.675967i | ||||
\(987\) | −23.7871 | + | 22.3597i | −0.757150 | + | 0.711716i | ||||
\(988\) | 4.45224i | 0.141645i | ||||||||
\(989\) | −11.3797 | − | 25.3489i | −0.361853 | − | 0.806048i | ||||
\(990\) | −0.627995 | − | 1.63580i | −0.0199590 | − | 0.0519892i | ||||
\(991\) | −23.2232 | + | 14.9246i | −0.737709 | + | 0.474097i | −0.854756 | − | 0.519030i | \(-0.826293\pi\) |
0.117047 | + | 0.993126i | \(0.462657\pi\) | |||||||
\(992\) | 8.55402 | + | 1.22988i | 0.271590 | + | 0.0390488i | ||||
\(993\) | 3.35757 | − | 13.4222i | 0.106549 | − | 0.425939i | ||||
\(994\) | −2.65276 | − | 9.03448i | −0.0841405 | − | 0.286556i | ||||
\(995\) | 1.30027 | − | 0.593812i | 0.0412212 | − | 0.0188251i | ||||
\(996\) | −16.0952 | − | 12.8440i | −0.509996 | − | 0.406977i | ||||
\(997\) | −2.53038 | − | 17.5992i | −0.0801380 | − | 0.557372i | −0.989848 | − | 0.142128i | \(-0.954605\pi\) |
0.909710 | − | 0.415244i | \(-0.136304\pi\) | |||||||
\(998\) | 2.67045 | − | 9.09473i | 0.0845318 | − | 0.287889i | ||||
\(999\) | 47.2635 | + | 7.82944i | 1.49535 | + | 0.247712i |
(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 | 138.2.f.a.11.2 | ✓ | 80 | |
3.2 | odd | 2 | inner | 138.2.f.a.11.7 | yes | 80 | |
23.21 | odd | 22 | inner | 138.2.f.a.113.7 | yes | 80 | |
69.44 | even | 22 | inner | 138.2.f.a.113.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.f.a.11.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
138.2.f.a.11.7 | yes | 80 | 3.2 | odd | 2 | inner | |
138.2.f.a.113.2 | yes | 80 | 69.44 | even | 22 | inner | |
138.2.f.a.113.7 | yes | 80 | 23.21 | odd | 22 | inner |