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 | 113.7 | ||
Character | \(\chi\) | \(=\) | 138.113 |
Dual form | 138.2.f.a.11.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{22}\right)\) |
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 | ||||
\(3\) | −0.554828 | − | 1.64078i | −0.320330 | − | 0.947306i | ||||
\(4\) | −0.415415 | − | 0.909632i | −0.207708 | − | 0.454816i | ||||
\(5\) | 3.21268 | + | 0.943327i | 1.43675 | + | 0.421869i | 0.905138 | − | 0.425117i | \(-0.139767\pi\) |
0.531615 | + | 0.846986i | \(0.321585\pi\) | |||||||
\(6\) | −1.68028 | − | 0.420323i | −0.685970 | − | 0.171596i | ||||
\(7\) | −1.80758 | − | 1.56628i | −0.683202 | − | 0.591998i | 0.242546 | − | 0.970140i | \(-0.422018\pi\) |
−0.925747 | + | 0.378142i | \(0.876563\pi\) | |||||||
\(8\) | −0.989821 | − | 0.142315i | −0.349955 | − | 0.0503159i | ||||
\(9\) | −2.38433 | + | 1.82070i | −0.794778 | + | 0.606901i | ||||
\(10\) | 2.53048 | − | 2.19268i | 0.800209 | − | 0.693385i | ||||
\(11\) | −0.146746 | + | 0.0943077i | −0.0442455 | + | 0.0284348i | −0.562577 | − | 0.826745i | \(-0.690190\pi\) |
0.518331 | + | 0.855180i | \(0.326553\pi\) | |||||||
\(12\) | −1.26202 | + | 1.18629i | −0.364315 | + | 0.342454i | ||||
\(13\) | 0.435504 | + | 0.502599i | 0.120787 | + | 0.139396i | 0.812922 | − | 0.582372i | \(-0.197875\pi\) |
−0.692135 | + | 0.721768i | \(0.743330\pi\) | |||||||
\(14\) | −2.29489 | + | 0.673841i | −0.613335 | + | 0.180091i | ||||
\(15\) | −0.234688 | − | 5.79469i | −0.0605961 | − | 1.49618i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −1.46011 | + | 3.19721i | −0.354130 | + | 0.775436i | 0.645799 | + | 0.763507i | \(0.276524\pi\) |
−0.999929 | + | 0.0119287i | \(0.996203\pi\) | |||||||
\(18\) | 0.242605 | + | 2.99017i | 0.0571825 | + | 0.704791i | ||||
\(19\) | 6.08977 | − | 2.78111i | 1.39709 | − | 0.638029i | 0.432463 | − | 0.901652i | \(-0.357645\pi\) |
0.964626 | + | 0.263622i | \(0.0849173\pi\) | |||||||
\(20\) | −0.476514 | − | 3.31423i | −0.106552 | − | 0.741084i | ||||
\(21\) | −1.56703 | + | 3.83486i | −0.341953 | + | 0.836836i | ||||
\(22\) | 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 | ||||
\(27\) | 4.31027 | + | 2.90199i | 0.829512 | + | 0.558489i | ||||
\(28\) | −0.673841 | + | 2.29489i | −0.127344 | + | 0.433693i | ||||
\(29\) | 5.54968 | + | 2.53446i | 1.03055 | + | 0.470636i | 0.857613 | − | 0.514296i | \(-0.171947\pi\) |
0.172938 | + | 0.984933i | \(0.444674\pi\) | |||||||
\(30\) | −5.00168 | − | 2.93541i | −0.913179 | − | 0.535931i | ||||
\(31\) | −1.22988 | + | 8.55402i | −0.220893 | + | 1.53635i | 0.513778 | + | 0.857923i | \(0.328246\pi\) |
−0.734671 | + | 0.678423i | \(0.762664\pi\) | |||||||
\(32\) | 0.281733 | + | 0.959493i | 0.0498038 | + | 0.169616i | ||||
\(33\) | 0.236157 | + | 0.188453i | 0.0411096 | + | 0.0328055i | ||||
\(34\) | 1.90026 | + | 2.95687i | 0.325892 | + | 0.507098i | ||||
\(35\) | −4.32967 | − | 6.73709i | −0.731847 | − | 1.13878i | ||||
\(36\) | 2.64666 | + | 1.41252i | 0.441109 | + | 0.235420i | ||||
\(37\) | −2.59752 | − | 8.84635i | −0.427030 | − | 1.45433i | −0.839500 | − | 0.543360i | \(-0.817152\pi\) |
0.412470 | − | 0.910971i | \(-0.364666\pi\) | |||||||
\(38\) | 0.952764 | − | 6.62662i | 0.154559 | − | 1.07498i | ||||
\(39\) | 0.583025 | − | 0.993424i | 0.0933588 | − | 0.159075i | ||||
\(40\) | −3.04573 | − | 1.39094i | −0.481572 | − | 0.219927i | ||||
\(41\) | 0.791908 | − | 2.69699i | 0.123675 | − | 0.421199i | −0.874258 | − | 0.485462i | \(-0.838651\pi\) |
0.997933 | + | 0.0642628i | \(0.0204696\pi\) | |||||||
\(42\) | 2.37889 | + | 3.39155i | 0.367071 | + | 0.523327i | ||||
\(43\) | −5.73482 | + | 0.824543i | −0.874552 | + | 0.125742i | −0.564950 | − | 0.825125i | \(-0.691105\pi\) |
−0.309601 | + | 0.950866i | \(0.600196\pi\) | |||||||
\(44\) | 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 | \(-0.194898\pi\) | |||||||
\(48\) | 1.60336 | + | 0.655173i | 0.231424 | + | 0.0945661i | ||||
\(49\) | −0.182080 | − | 1.26640i | −0.0260115 | − | 0.180914i | ||||
\(50\) | 5.64988 | − | 2.58021i | 0.799013 | − | 0.364897i | ||||
\(51\) | 6.05603 | + | 0.621833i | 0.848014 | + | 0.0870740i | ||||
\(52\) | 0.276265 | − | 0.604936i | 0.0383111 | − | 0.0838895i | ||||
\(53\) | −7.73902 | + | 8.93131i | −1.06304 | + | 1.22681i | −0.0900527 | + | 0.995937i | \(0.528704\pi\) |
−0.972984 | + | 0.230873i | \(0.925842\pi\) | |||||||
\(54\) | 4.77162 | − | 2.05709i | 0.649335 | − | 0.279935i | ||||
\(55\) | −0.560410 | + | 0.164551i | −0.0755656 | + | 0.0221881i | ||||
\(56\) | 1.56628 | + | 1.80758i | 0.209303 | + | 0.241548i | ||||
\(57\) | −7.94196 | − | 8.44895i | −1.05194 | − | 1.11909i | ||||
\(58\) | 5.13250 | − | 3.29846i | 0.673931 | − | 0.433109i | ||||
\(59\) | −7.68344 | + | 6.65774i | −1.00030 | + | 0.866764i | −0.991090 | − | 0.133193i | \(-0.957477\pi\) |
−0.00920920 | + | 0.999958i | \(0.502931\pi\) | |||||||
\(60\) | −5.17354 | + | 2.62068i | −0.667901 | + | 0.338328i | ||||
\(61\) | −0.619733 | − | 0.0891041i | −0.0793486 | − | 0.0114086i | 0.102526 | − | 0.994730i | \(-0.467307\pi\) |
−0.181875 | + | 0.983322i | \(0.558217\pi\) | |||||||
\(62\) | 6.53117 | + | 5.65929i | 0.829460 | + | 0.718731i | ||||
\(63\) | 7.16160 | + | 0.443460i | 0.902277 | + | 0.0558708i | ||||
\(64\) | 0.959493 | + | 0.281733i | 0.119937 | + | 0.0352166i | ||||
\(65\) | 0.925020 | + | 2.02551i | 0.114735 | + | 0.251234i | ||||
\(66\) | 0.286213 | − | 0.0967824i | 0.0352304 | − | 0.0119131i | ||||
\(67\) | 4.04398 | − | 6.29256i | 0.494051 | − | 0.768759i | −0.501279 | − | 0.865286i | \(-0.667137\pi\) |
0.995330 | + | 0.0965269i | \(0.0307734\pi\) | |||||||
\(68\) | 3.51483 | 0.426236 | ||||||||
\(69\) | 8.07114 | + | 1.96385i | 0.971651 | + | 0.236420i | ||||
\(70\) | −8.00840 | −0.957186 | ||||||||
\(71\) | 2.12838 | − | 3.31183i | 0.252593 | − | 0.393042i | −0.691681 | − | 0.722203i | \(-0.743130\pi\) |
0.944274 | + | 0.329161i | \(0.106766\pi\) | |||||||
\(72\) | 2.61918 | − | 1.46284i | 0.308673 | − | 0.172398i | ||||
\(73\) | −2.52644 | − | 5.53213i | −0.295697 | − | 0.647487i | 0.702222 | − | 0.711958i | \(-0.252191\pi\) |
−0.997920 | + | 0.0644710i | \(0.979464\pi\) | |||||||
\(74\) | −8.84635 | − | 2.59752i | −1.02837 | − | 0.301956i | ||||
\(75\) | 2.61070 | − | 10.4365i | 0.301457 | − | 1.20510i | ||||
\(76\) | −5.05956 | − | 4.38414i | −0.580372 | − | 0.502895i | ||||
\(77\) | 0.412967 | + | 0.0593757i | 0.0470619 | + | 0.00676649i | ||||
\(78\) | −0.520514 | − | 1.02756i | −0.0589366 | − | 0.116348i | ||||
\(79\) | −3.93306 | + | 3.40802i | −0.442504 | + | 0.383432i | −0.847421 | − | 0.530921i | \(-0.821846\pi\) |
0.404917 | + | 0.914354i | \(0.367300\pi\) | |||||||
\(80\) | −2.81678 | + | 1.81023i | −0.314925 | + | 0.202390i | ||||
\(81\) | 2.37008 | − | 8.68232i | 0.263343 | − | 0.964702i | ||||
\(82\) | −1.84072 | − | 2.12430i | −0.203273 | − | 0.234590i | ||||
\(83\) | −11.4071 | + | 3.34943i | −1.25209 | + | 0.367648i | −0.839547 | − | 0.543288i | \(-0.817179\pi\) |
−0.412548 | + | 0.910936i | \(0.635361\pi\) | |||||||
\(84\) | 4.13928 | − | 0.167643i | 0.451632 | − | 0.0182913i | ||||
\(85\) | −7.70689 | + | 8.89423i | −0.835930 | + | 0.964714i | ||||
\(86\) | −2.40683 | + | 5.27022i | −0.259535 | + | 0.568302i | ||||
\(87\) | 1.07937 | − | 10.5120i | 0.115721 | − | 1.12701i | ||||
\(88\) | 0.158673 | − | 0.0724637i | 0.0169146 | − | 0.00772466i | ||||
\(89\) | −2.16027 | − | 15.0250i | −0.228988 | − | 1.59265i | −0.702386 | − | 0.711797i | \(-0.747882\pi\) |
0.473398 | − | 0.880849i | \(-0.343027\pi\) | |||||||
\(90\) | −2.04130 | + | 9.83532i | −0.215172 | + | 1.03673i | ||||
\(91\) | − | 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 | ||||
\(96\) | 1.41801 | − | 0.994615i | 0.144725 | − | 0.101512i | ||||
\(97\) | −1.10459 | + | 3.76189i | −0.112154 | + | 0.381962i | −0.996371 | − | 0.0851145i | \(-0.972874\pi\) |
0.884217 | + | 0.467076i | \(0.154693\pi\) | |||||||
\(98\) | −1.16380 | − | 0.531490i | −0.117562 | − | 0.0536886i | ||||
\(99\) | 0.178184 | − | 0.492041i | 0.0179082 | − | 0.0494520i | ||||
\(100\) | 0.883941 | − | 6.14795i | 0.0883941 | − | 0.614795i | ||||
\(101\) | 3.77413 | + | 12.8535i | 0.375540 | + | 1.27897i | 0.903091 | + | 0.429449i | \(0.141292\pi\) |
−0.527551 | + | 0.849523i | \(0.676890\pi\) | |||||||
\(102\) | 3.79726 | − | 4.75847i | 0.375984 | − | 0.471159i | ||||
\(103\) | −0.709786 | − | 1.10445i | −0.0699373 | − | 0.108825i | 0.804523 | − | 0.593921i | \(-0.202421\pi\) |
−0.874461 | + | 0.485096i | \(0.838784\pi\) | |||||||
\(104\) | −0.359544 | − | 0.559462i | −0.0352562 | − | 0.0548597i | ||||
\(105\) | −8.65188 | + | 10.8420i | −0.844337 | + | 1.05807i | ||||
\(106\) | 3.32946 | + | 11.3391i | 0.323386 | + | 1.10135i | ||||
\(107\) | 0.295739 | − | 2.05691i | 0.0285902 | − | 0.198849i | −0.970520 | − | 0.241020i | \(-0.922518\pi\) |
0.999110 | + | 0.0421705i | \(0.0134273\pi\) | |||||||
\(108\) | 0.849196 | − | 5.12629i | 0.0817140 | − | 0.493278i | ||||
\(109\) | 2.64483 | + | 1.20785i | 0.253328 | + | 0.115691i | 0.538032 | − | 0.842924i | \(-0.319168\pi\) |
−0.284704 | + | 0.958616i | \(0.591895\pi\) | |||||||
\(110\) | −0.164551 | + | 0.560410i | −0.0156893 | + | 0.0534330i | ||||
\(111\) | −13.0738 | + | 9.17017i | −1.24091 | + | 0.870394i | ||||
\(112\) | 2.36743 | − | 0.340385i | 0.223701 | − | 0.0321633i | ||||
\(113\) | 8.75523 | + | 5.62665i | 0.823623 | + | 0.529310i | 0.883246 | − | 0.468911i | \(-0.155353\pi\) |
−0.0596226 | + | 0.998221i | \(0.518990\pi\) | |||||||
\(114\) | −11.4015 | + | 2.11335i | −1.06784 | + | 0.197934i | ||||
\(115\) | −12.0678 | + | 10.5937i | −1.12533 | + | 0.987864i | ||||
\(116\) | − | 6.10102i | − | 0.566465i | ||||||
\(117\) | −1.95347 | − | 0.405439i | −0.180598 | − | 0.0374828i | ||||
\(118\) | 1.44687 | + | 10.0632i | 0.133195 | + | 0.926390i | ||||
\(119\) | 7.64699 | − | 3.49226i | 0.700999 | − | 0.320135i | ||||
\(120\) | −0.592371 | + | 5.76911i | −0.0540759 | + | 0.526645i | ||||
\(121\) | −4.55692 | + | 9.97827i | −0.414266 | + | 0.907116i | ||||
\(122\) | −0.410012 | + | 0.473179i | −0.0371207 | + | 0.0428396i | ||||
\(123\) | −4.86455 | + | 0.197016i | −0.438621 | + | 0.0177644i | ||||
\(124\) | 8.29192 | − | 2.43473i | 0.744636 | − | 0.218645i | ||||
\(125\) | 2.65570 | + | 3.06484i | 0.237533 | + | 0.274128i | ||||
\(126\) | 4.24492 | − | 5.78497i | 0.378167 | − | 0.515366i | ||||
\(127\) | 18.2002 | − | 11.6965i | 1.61500 | − | 1.03790i | 0.655898 | − | 0.754849i | \(-0.272290\pi\) |
0.959105 | − | 0.283051i | \(-0.0913464\pi\) | |||||||
\(128\) | 0.755750 | − | 0.654861i | 0.0667995 | − | 0.0578821i | ||||
\(129\) | 4.53473 | + | 8.95211i | 0.399261 | + | 0.788189i | ||||
\(130\) | 2.20407 | + | 0.316898i | 0.193310 | + | 0.0277938i | ||||
\(131\) | −7.69051 | − | 6.66386i | −0.671923 | − | 0.582224i | 0.250636 | − | 0.968081i | \(-0.419360\pi\) |
−0.922559 | + | 0.385857i | \(0.873906\pi\) | |||||||
\(132\) | 0.0733199 | − | 0.293102i | 0.00638168 | − | 0.0255113i | ||||
\(133\) | −15.3637 | − | 4.51120i | −1.33221 | − | 0.391171i | ||||
\(134\) | −3.10730 | − | 6.80403i | −0.268430 | − | 0.587779i | ||||
\(135\) | 11.1100 | + | 13.3892i | 0.956195 | + | 1.15236i | ||||
\(136\) | 1.90026 | − | 2.95687i | 0.162946 | − | 0.253549i | ||||
\(137\) | −10.2876 | −0.878926 | −0.439463 | − | 0.898261i | \(-0.644831\pi\) | ||||
−0.439463 | + | 0.898261i | \(0.644831\pi\) | |||||||
\(138\) | 6.01568 | − | 5.72814i | 0.512089 | − | 0.487612i | ||||
\(139\) | 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 | ||||
\(141\) | −12.9302 | + | 4.37231i | −1.08892 | + | 0.368215i | ||||
\(142\) | −1.63540 | − | 3.58102i | −0.137240 | − | 0.300513i | ||||
\(143\) | −0.111307 | − | 0.0326828i | −0.00930798 | − | 0.00273307i | ||||
\(144\) | 0.185411 | − | 2.99426i | 0.0154509 | − | 0.249522i | ||||
\(145\) | 15.4385 | + | 13.3776i | 1.28210 | + | 1.11095i | ||||
\(146\) | −6.01982 | − | 0.865519i | −0.498204 | − | 0.0716309i | ||||
\(147\) | −1.97686 | + | 1.00139i | −0.163048 | + | 0.0825929i | ||||
\(148\) | −6.96787 | + | 6.03770i | −0.572756 | + | 0.496296i | ||||
\(149\) | 15.3258 | − | 9.84932i | 1.25554 | − | 0.806888i | 0.267875 | − | 0.963454i | \(-0.413679\pi\) |
0.987668 | + | 0.156566i | \(0.0500424\pi\) | |||||||
\(150\) | −7.36828 | − | 7.83865i | −0.601617 | − | 0.640023i | ||||
\(151\) | 4.64937 | + | 5.36566i | 0.378360 | + | 0.436651i | 0.912707 | − | 0.408614i | \(-0.133988\pi\) |
−0.534347 | + | 0.845265i | \(0.679442\pi\) | |||||||
\(152\) | −6.42358 | + | 1.88613i | −0.521021 | + | 0.152986i | ||||
\(153\) | −2.33976 | − | 10.2816i | −0.189158 | − | 0.831221i | ||||
\(154\) | 0.273217 | − | 0.315309i | 0.0220164 | − | 0.0254083i | ||||
\(155\) | −12.0205 | + | 26.3211i | −0.965506 | + | 2.11416i | ||||
\(156\) | −1.14585 | − | 0.117656i | −0.0917412 | − | 0.00941998i | ||||
\(157\) | 1.56422 | − | 0.714356i | 0.124838 | − | 0.0570118i | −0.352017 | − | 0.935994i | \(-0.614504\pi\) |
0.476855 | + | 0.878982i | \(0.341777\pi\) | |||||||
\(158\) | 0.740633 | + | 5.15122i | 0.0589216 | + | 0.409809i | ||||
\(159\) | 18.9482 | + | 7.74272i | 1.50269 | + | 0.614037i | ||||
\(160\) | 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 | 0.507437 | − | 0.861689i | \(-0.330593\pi\) |
−0.573023 | + | 0.819539i | \(0.694229\pi\) | |||||||
\(164\) | −2.78224 | + | 0.400026i | −0.217256 | + | 0.0312368i | ||||
\(165\) | 0.580923 | + | 0.828213i | 0.0452248 | + | 0.0644763i | ||||
\(166\) | −3.34943 | + | 11.4071i | −0.259966 | + | 0.885365i | ||||
\(167\) | −10.0742 | − | 4.60072i | −0.779563 | − | 0.356014i | −0.0144375 | − | 0.999896i | \(-0.504596\pi\) |
−0.765125 | + | 0.643881i | \(0.777323\pi\) | |||||||
\(168\) | 2.09683 | − | 3.57282i | 0.161774 | − | 0.275649i | ||||
\(169\) | 1.78715 | − | 12.4299i | 0.137473 | − | 0.956147i | ||||
\(170\) | 3.31564 | + | 11.2920i | 0.254298 | + | 0.866059i | ||||
\(171\) | −9.45647 | + | 17.7187i | −0.723155 | + | 1.35499i | ||||
\(172\) | 3.13236 | + | 4.87405i | 0.238840 | + | 0.371643i | ||||
\(173\) | −1.30865 | − | 2.03629i | −0.0994945 | − | 0.154817i | 0.787937 | − | 0.615755i | \(-0.211149\pi\) |
−0.887432 | + | 0.460939i | \(0.847513\pi\) | |||||||
\(174\) | −8.25971 | − | 6.59124i | −0.626167 | − | 0.499681i | ||||
\(175\) | −4.18534 | − | 14.2539i | −0.316382 | − | 1.07750i | ||||
\(176\) | 0.0248250 | − | 0.172661i | 0.00187125 | − | 0.0130148i | ||||
\(177\) | 15.1869 | + | 8.91296i | 1.14152 | + | 0.669939i | ||||
\(178\) | −13.8078 | − | 6.30579i | −1.03493 | − | 0.472639i | ||||
\(179\) | −3.56599 | + | 12.1447i | −0.266535 | + | 0.907734i | 0.712092 | + | 0.702087i | \(0.247748\pi\) |
−0.978626 | + | 0.205647i | \(0.934070\pi\) | |||||||
\(180\) | 7.17039 | + | 7.03463i | 0.534449 | + | 0.524330i | ||||
\(181\) | −9.15702 | + | 1.31658i | −0.680636 | + | 0.0978607i | −0.473957 | − | 0.880548i | \(-0.657175\pi\) |
−0.206679 | + | 0.978409i | \(0.566266\pi\) | |||||||
\(182\) | −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 | ||||||
\(186\) | 5.66199 | − | 13.8562i | 0.415157 | − | 1.01598i | ||||
\(187\) | −0.0872556 | − | 0.606876i | −0.00638076 | − | 0.0443792i | ||||
\(188\) | −7.16834 | + | 3.27367i | −0.522805 | + | 0.238757i | ||||
\(189\) | −3.24583 | − | 11.9967i | −0.236100 | − | 0.872630i | ||||
\(190\) | 9.31200 | − | 20.3904i | 0.675563 | − | 1.47928i | ||||
\(191\) | 0.963220 | − | 1.11162i | 0.0696962 | − | 0.0804337i | −0.719831 | − | 0.694150i | \(-0.755781\pi\) |
0.789527 | + | 0.613716i | \(0.210326\pi\) | |||||||
\(192\) | −0.0700914 | − | 1.73063i | −0.00505841 | − | 0.124898i | ||||
\(193\) | 5.88402 | − | 1.72770i | 0.423541 | − | 0.124363i | −0.0630142 | − | 0.998013i | \(-0.520071\pi\) |
0.486555 | + | 0.873650i | \(0.338253\pi\) | |||||||
\(194\) | 2.56751 | + | 2.96307i | 0.184337 | + | 0.212736i | ||||
\(195\) | 2.81020 | − | 2.64157i | 0.201242 | − | 0.189166i | ||||
\(196\) | −1.07632 | + | 0.691706i | −0.0768797 | + | 0.0494076i | ||||
\(197\) | 16.4790 | − | 14.2792i | 1.17408 | − | 1.01735i | 0.174618 | − | 0.984636i | \(-0.444131\pi\) |
0.999465 | − | 0.0327122i | \(-0.0104145\pi\) | |||||||
\(198\) | −0.317598 | − | 0.415916i | −0.0225707 | − | 0.0295578i | ||||
\(199\) | −0.422569 | − | 0.0607563i | −0.0299551 | − | 0.00430690i | 0.127321 | − | 0.991862i | \(-0.459362\pi\) |
−0.157276 | + | 0.987555i | \(0.550271\pi\) | |||||||
\(200\) | −4.69409 | − | 4.06745i | −0.331922 | − | 0.287612i | ||||
\(201\) | −12.5684 | − | 3.14401i | −0.886509 | − | 0.221761i | ||||
\(202\) | 12.8535 | + | 3.77413i | 0.904370 | + | 0.265547i | ||||
\(203\) | −6.06184 | − | 13.2736i | −0.425458 | − | 0.931623i | ||||
\(204\) | −1.95013 | − | 5.76708i | −0.136536 | − | 0.403776i | ||||
\(205\) | 5.08829 | − | 7.91754i | 0.355382 | − | 0.552985i | ||||
\(206\) | −1.31286 | −0.0914714 | ||||||||
\(207\) | −1.25584 | − | 14.3326i | −0.0872872 | − | 0.996183i | ||||
\(208\) | −0.665034 | −0.0461118 | ||||||||
\(209\) | −0.631368 | + | 0.982427i | −0.0436726 | + | 0.0679559i | ||||
\(210\) | 4.44328 | + | 13.1400i | 0.306615 | + | 0.906748i | ||||
\(211\) | 4.16291 | + | 9.11550i | 0.286586 | + | 0.627537i | 0.997096 | − | 0.0761505i | \(-0.0242629\pi\) |
−0.710510 | + | 0.703687i | \(0.751536\pi\) | |||||||
\(212\) | 11.3391 | + | 3.32946i | 0.778773 | + | 0.228669i | ||||
\(213\) | −6.61488 | − | 1.65472i | −0.453244 | − | 0.113380i | ||||
\(214\) | −1.57050 | − | 1.36084i | −0.107357 | − | 0.0930253i | ||||
\(215\) | −19.2019 | − | 2.76082i | −1.30956 | − | 0.188287i | ||||
\(216\) | −3.85340 | − | 3.48587i | −0.262191 | − | 0.237184i | ||||
\(217\) | 15.6211 | − | 13.5357i | 1.06043 | − | 0.918866i | ||||
\(218\) | 2.44601 | − | 1.57196i | 0.165665 | − | 0.106466i | ||||
\(219\) | −7.67528 | + | 7.21471i | −0.518647 | + | 0.487525i | ||||
\(220\) | 0.382484 | + | 0.441410i | 0.0257870 | + | 0.0297598i | ||||
\(221\) | −2.24280 | + | 0.658545i | −0.150867 | + | 0.0442985i | ||||
\(222\) | 0.646230 | + | 15.9561i | 0.0433721 | + | 1.07090i | ||||
\(223\) | 3.02207 | − | 3.48765i | 0.202372 | − | 0.233550i | −0.645487 | − | 0.763771i | \(-0.723346\pi\) |
0.847860 | + | 0.530221i | \(0.177891\pi\) | |||||||
\(224\) | 0.993579 | − | 2.17563i | 0.0663863 | − | 0.145366i | ||||
\(225\) | −18.5725 | + | 1.50686i | −1.23817 | + | 0.100457i | ||||
\(226\) | 9.46687 | − | 4.32338i | 0.629727 | − | 0.287587i | ||||
\(227\) | 0.571788 | + | 3.97688i | 0.0379509 | + | 0.263955i | 0.999959 | − | 0.00906687i | \(-0.00288611\pi\) |
−0.962008 | + | 0.273021i | \(0.911977\pi\) | |||||||
\(228\) | −4.38623 | + | 10.7341i | −0.290485 | + | 0.710882i | ||||
\(229\) | − | 6.47386i | − | 0.427805i | −0.976855 | − | 0.213902i | \(-0.931383\pi\) | ||
0.976855 | − | 0.213902i | \(-0.0686174\pi\) | |||||||
\(230\) | 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 | \(-0.306251\pi\) |
0.779759 | + | 0.626080i | \(0.215342\pi\) | |||||||
\(234\) | −1.39720 | + | 1.42417i | −0.0913380 | + | 0.0931007i | ||||
\(235\) | 7.43388 | − | 25.3175i | 0.484933 | − | 1.65153i | ||||
\(236\) | 9.24791 | + | 4.22338i | 0.601988 | + | 0.274919i | ||||
\(237\) | 7.77399 | + | 4.56244i | 0.504975 | + | 0.296362i | ||||
\(238\) | 1.19640 | − | 8.32112i | 0.0775509 | − | 0.539378i | ||||
\(239\) | 2.55094 | + | 8.68772i | 0.165007 | + | 0.561962i | 0.999933 | + | 0.0115993i | \(0.00369226\pi\) |
−0.834926 | + | 0.550362i | \(0.814490\pi\) | |||||||
\(240\) | 4.53302 | + | 3.61735i | 0.292605 | + | 0.233499i | ||||
\(241\) | 2.19681 | + | 3.41830i | 0.141509 | + | 0.220192i | 0.904773 | − | 0.425895i | \(-0.140041\pi\) |
−0.763264 | + | 0.646087i | \(0.776404\pi\) | |||||||
\(242\) | 5.93060 | + | 9.22819i | 0.381233 | + | 0.593211i | ||||
\(243\) | −15.5608 | + | 0.928398i | −0.998225 | + | 0.0595568i | ||||
\(244\) | 0.176394 | + | 0.600744i | 0.0112925 | + | 0.0384587i | ||||
\(245\) | 0.609661 | − | 4.24028i | 0.0389498 | − | 0.270902i | ||||
\(246\) | −2.46423 | + | 4.19883i | −0.157114 | + | 0.267708i | ||||
\(247\) | 4.04990 | + | 1.84953i | 0.257689 | + | 0.117683i | ||||
\(248\) | 2.43473 | − | 8.29192i | 0.154605 | − | 0.526537i | ||||
\(249\) | 11.8247 | + | 16.8582i | 0.749359 | + | 1.06835i | ||||
\(250\) | 4.01409 | − | 0.577139i | 0.253873 | − | 0.0365015i | ||||
\(251\) | −4.41926 | − | 2.84009i | −0.278942 | − | 0.179265i | 0.393688 | − | 0.919244i | \(-0.371199\pi\) |
−0.672630 | + | 0.739979i | \(0.734835\pi\) | |||||||
\(252\) | −2.57165 | − | 6.69864i | −0.161999 | − | 0.421975i | ||||
\(253\) | −0.00538890 | − | 0.836553i | −0.000338797 | − | 0.0525936i | ||||
\(254\) | − | 21.6346i | − | 1.35747i | ||||||
\(255\) | 18.8695 | + | 7.71057i | 1.18165 | + | 0.482854i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | −16.6280 | + | 7.59377i | −1.03723 | + | 0.473687i | −0.859899 | − | 0.510465i | \(-0.829473\pi\) |
−0.177330 | + | 0.984151i | \(0.556746\pi\) | |||||||
\(258\) | 9.98265 | + | 1.02502i | 0.621493 | + | 0.0638148i | ||||
\(259\) | −9.16062 | + | 20.0589i | −0.569213 | + | 1.24640i | ||||
\(260\) | 1.45820 | − | 1.68286i | 0.0904339 | − | 0.104366i | ||||
\(261\) | −17.8468 | + | 4.06134i | −1.10469 | + | 0.251390i | ||||
\(262\) | −9.76380 | + | 2.86691i | −0.603209 | + | 0.177118i | ||||
\(263\) | 15.1908 | + | 17.5311i | 0.936703 | + | 1.08101i | 0.996566 | + | 0.0828062i | \(0.0263883\pi\) |
−0.0598627 | + | 0.998207i | \(0.519066\pi\) | |||||||
\(264\) | −0.206934 | − | 0.220144i | −0.0127359 | − | 0.0135489i | ||||
\(265\) | −33.2881 | + | 21.3930i | −2.04487 | + | 1.31416i | ||||
\(266\) | −12.1013 | + | 10.4859i | −0.741980 | + | 0.642930i | ||||
\(267\) | −23.4542 | + | 11.8808i | −1.43537 | + | 0.727093i | ||||
\(268\) | −7.40385 | − | 1.06451i | −0.452262 | − | 0.0650254i | ||||
\(269\) | −6.91584 | − | 5.99261i | −0.421666 | − | 0.365376i | 0.418029 | − | 0.908434i | \(-0.362721\pi\) |
−0.839695 | + | 0.543058i | \(0.817266\pi\) | |||||||
\(270\) | 17.2702 | − | 2.10758i | 1.05103 | − | 0.128263i | ||||
\(271\) | 25.6521 | + | 7.53215i | 1.55826 | + | 0.457545i | 0.943555 | − | 0.331215i | \(-0.107458\pi\) |
0.614701 | + | 0.788760i | \(0.289277\pi\) | |||||||
\(272\) | −1.46011 | − | 3.19721i | −0.0885325 | − | 0.193859i | ||||
\(273\) | −2.60984 | + | 0.882514i | −0.157955 | + | 0.0534122i | ||||
\(274\) | −5.56188 | + | 8.65445i | −0.336005 | + | 0.522835i | ||||
\(275\) | −1.08346 | −0.0653349 | ||||||||
\(276\) | −1.56649 | − | 8.15758i | −0.0942918 | − | 0.491029i | ||||
\(277\) | 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 | ||||
\(279\) | −12.6419 | − | 22.6349i | −0.756849 | − | 1.35511i | ||||
\(280\) | 3.32681 | + | 7.28469i | 0.198815 | + | 0.435344i | ||||
\(281\) | −19.3165 | − | 5.67184i | −1.15233 | − | 0.338354i | −0.350881 | − | 0.936420i | \(-0.614118\pi\) |
−0.801447 | + | 0.598066i | \(0.795936\pi\) | |||||||
\(282\) | −3.31235 | + | 13.2414i | −0.197248 | + | 0.788513i | ||||
\(283\) | −7.96292 | − | 6.89991i | −0.473347 | − | 0.410157i | 0.385247 | − | 0.922813i | \(-0.374116\pi\) |
−0.858594 | + | 0.512656i | \(0.828662\pi\) | |||||||
\(284\) | −3.89671 | − | 0.560262i | −0.231227 | − | 0.0332454i | ||||
\(285\) | −17.5448 | − | 34.6356i | −1.03927 | − | 2.05164i | ||||
\(286\) | −0.0876718 | + | 0.0759680i | −0.00518414 | + | 0.00449208i | ||||
\(287\) | −5.65568 | + | 3.63468i | −0.333844 | + | 0.214549i | ||||
\(288\) | −2.41870 | − | 1.77480i | −0.142523 | − | 0.104581i | ||||
\(289\) | 3.04245 | + | 3.51117i | 0.178967 | + | 0.206539i | ||||
\(290\) | 19.6006 | − | 5.75526i | 1.15099 | − | 0.337960i | ||||
\(291\) | 6.78529 | − | 0.274807i | 0.397761 | − | 0.0161095i | ||||
\(292\) | −3.98268 | + | 4.59626i | −0.233069 | + | 0.268976i | ||||
\(293\) | 0.626345 | − | 1.37150i | 0.0365914 | − | 0.0801241i | −0.890454 | − | 0.455074i | \(-0.849613\pi\) |
0.927045 | + | 0.374950i | \(0.122340\pi\) | |||||||
\(294\) | −0.226350 | + | 2.20443i | −0.0132010 | + | 0.128565i | ||||
\(295\) | −30.9649 | + | 14.1412i | −1.80284 | + | 0.823331i | ||||
\(296\) | 1.31212 | + | 9.12597i | 0.0762653 | + | 0.530436i | ||||
\(297\) | −0.906194 | − | 0.0193634i | −0.0525827 | − | 0.00112358i | ||||
\(298\) | − | 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 | ||||
\(303\) | 18.9958 | − | 13.3240i | 1.09128 | − | 0.765444i | ||||
\(304\) | −1.88613 | + | 6.42358i | −0.108177 | + | 0.368417i | ||||
\(305\) | −1.90695 | − | 0.870874i | −0.109192 | − | 0.0498661i | ||||
\(306\) | −9.91443 | − | 3.59034i | −0.566770 | − | 0.205246i | ||||
\(307\) | −2.15733 | + | 15.0046i | −0.123125 | + | 0.856356i | 0.830856 | + | 0.556488i | \(0.187852\pi\) |
−0.953981 | + | 0.299867i | \(0.903058\pi\) | |||||||
\(308\) | −0.117543 | − | 0.400313i | −0.00669761 | − | 0.0228100i | ||||
\(309\) | −1.41835 | + | 1.77738i | −0.0806872 | + | 0.101112i | ||||
\(310\) | 15.6440 | + | 24.3425i | 0.888519 | + | 1.38256i | ||||
\(311\) | 2.59708 | + | 4.04114i | 0.147267 | + | 0.229152i | 0.907048 | − | 0.421027i | \(-0.138330\pi\) |
−0.759781 | + | 0.650179i | \(0.774694\pi\) | |||||||
\(312\) | −0.718470 | + | 0.900339i | −0.0406754 | + | 0.0509716i | ||||
\(313\) | −3.56220 | − | 12.1317i | −0.201348 | − | 0.685727i | −0.996816 | − | 0.0797321i | \(-0.974594\pi\) |
0.795469 | − | 0.605995i | \(-0.207225\pi\) | |||||||
\(314\) | 0.244727 | − | 1.70212i | 0.0138108 | − | 0.0960560i | ||||
\(315\) | 22.5896 | + | 8.18043i | 1.27278 | + | 0.460915i | ||||
\(316\) | 4.73390 | + | 2.16190i | 0.266302 | + | 0.121616i | ||||
\(317\) | −1.40230 | + | 4.77580i | −0.0787610 | + | 0.268235i | −0.989454 | − | 0.144849i | \(-0.953730\pi\) |
0.910693 | + | 0.413084i | \(0.135549\pi\) | |||||||
\(318\) | 16.7577 | − | 11.7542i | 0.939727 | − | 0.659142i | ||||
\(319\) | −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 | ||||||||
\(324\) | −8.88229 | + | 1.45086i | −0.493460 | + | 0.0806034i | ||||
\(325\) | 0.587851 | + | 4.08859i | 0.0326081 | + | 0.226794i | ||||
\(326\) | −0.905402 | + | 0.413483i | −0.0501456 | + | 0.0229007i | ||||
\(327\) | 0.514399 | − | 5.00973i | 0.0284463 | − | 0.277039i | ||||
\(328\) | −1.16767 | + | 2.55684i | −0.0644738 | + | 0.141178i | ||||
\(329\) | −12.3430 | + | 14.2446i | −0.680493 | + | 0.785331i | ||||
\(330\) | 1.01081 | − | 0.0409382i | 0.0556431 | − | 0.00225357i | ||||
\(331\) | −7.66449 | + | 2.25050i | −0.421279 | + | 0.123699i | −0.485499 | − | 0.874237i | \(-0.661362\pi\) |
0.0642205 | + | 0.997936i | \(0.479544\pi\) | |||||||
\(332\) | 7.78544 | + | 8.98488i | 0.427282 | + | 0.493109i | ||||
\(333\) | 22.2999 | + | 16.3633i | 1.22203 | + | 0.896705i | ||||
\(334\) | −9.31688 | + | 5.98760i | −0.509797 | + | 0.327627i | ||||
\(335\) | 18.9280 | − | 16.4012i | 1.03415 | − | 0.896092i | ||||
\(336\) | −1.87201 | − | 3.69558i | −0.102127 | − | 0.201610i | ||||
\(337\) | −7.97998 | − | 1.14735i | −0.434697 | − | 0.0625001i | −0.0785073 | − | 0.996914i | \(-0.525015\pi\) |
−0.356190 | + | 0.934413i | \(0.615924\pi\) | |||||||
\(338\) | −9.49050 | − | 8.22356i | −0.516215 | − | 0.447303i | ||||
\(339\) | 4.37446 | − | 17.4872i | 0.237588 | − | 0.949777i | ||||
\(340\) | 11.2920 | + | 3.31564i | 0.612396 | + | 0.179816i | ||||
\(341\) | −0.626230 | − | 1.37125i | −0.0339122 | − | 0.0742575i | ||||
\(342\) | 9.79340 | + | 17.5348i | 0.529566 | + | 0.948172i | ||||
\(343\) | −10.7060 | + | 16.6589i | −0.578072 | + | 0.899497i | ||||
\(344\) | 5.79379 | 0.312380 | ||||||||
\(345\) | 24.0774 | + | 13.9229i | 1.29628 | + | 0.749586i | ||||
\(346\) | −2.42055 | −0.130129 | ||||||||
\(347\) | 0.838961 | − | 1.30545i | 0.0450378 | − | 0.0700802i | −0.818005 | − | 0.575212i | \(-0.804920\pi\) |
0.863042 | + | 0.505132i | \(0.168556\pi\) | |||||||
\(348\) | −10.0104 | + | 3.38501i | −0.536616 | + | 0.181456i | ||||
\(349\) | 0.688116 | + | 1.50676i | 0.0368340 | + | 0.0806552i | 0.927155 | − | 0.374679i | \(-0.122247\pi\) |
−0.890321 | + | 0.455334i | \(0.849520\pi\) | |||||||
\(350\) | −14.2539 | − | 4.18534i | −0.761906 | − | 0.223716i | ||||
\(351\) | 0.418602 | + | 3.43017i | 0.0223433 | + | 0.183089i | ||||
\(352\) | −0.131831 | − | 0.114232i | −0.00702659 | − | 0.00608858i | ||||
\(353\) | 20.8552 | + | 2.99853i | 1.11001 | + | 0.159596i | 0.672844 | − | 0.739784i | \(-0.265072\pi\) |
0.437168 | + | 0.899380i | \(0.355981\pi\) | |||||||
\(354\) | 15.7087 | − | 7.95732i | 0.834909 | − | 0.422927i | ||||
\(355\) | 9.96195 | − | 8.63208i | 0.528726 | − | 0.458143i | ||||
\(356\) | −12.7698 | + | 8.20665i | −0.676798 | + | 0.434952i | ||||
\(357\) | −9.97281 | − | 10.6094i | −0.527817 | − | 0.561511i | ||||
\(358\) | 8.28881 | + | 9.56580i | 0.438077 | + | 0.505568i | ||||
\(359\) | 5.28399 | − | 1.55152i | 0.278878 | − | 0.0818860i | −0.139303 | − | 0.990250i | \(-0.544486\pi\) |
0.418181 | + | 0.908364i | \(0.362668\pi\) | |||||||
\(360\) | 9.79451 | − | 2.22891i | 0.516216 | − | 0.117474i | ||||
\(361\) | 16.9084 | − | 19.5133i | 0.889916 | − | 1.02702i | ||||
\(362\) | −3.84308 | + | 8.41517i | −0.201988 | + | 0.442292i | ||||
\(363\) | 18.9005 | + | 1.94070i | 0.992018 | + | 0.101860i | ||||
\(364\) | −1.44687 | + | 0.660763i | −0.0758366 | + | 0.0346334i | ||||
\(365\) | −2.89803 | − | 20.1562i | −0.151690 | − | 1.05502i | ||||
\(366\) | 1.00387 | + | 0.410208i | 0.0524731 | + | 0.0214419i | ||||
\(367\) | − | 14.8562i | − | 0.775487i | −0.921767 | − | 0.387744i | \(-0.873255\pi\) | ||
0.921767 | − | 0.387744i | \(-0.126745\pi\) | |||||||
\(368\) | −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 | ||||
\(372\) | −8.59544 | − | 12.2544i | −0.445653 | − | 0.635360i | ||||
\(373\) | 1.27986 | − | 4.35881i | 0.0662688 | − | 0.225691i | −0.919700 | − | 0.392623i | \(-0.871568\pi\) |
0.985968 | + | 0.166932i | \(0.0533860\pi\) | |||||||
\(374\) | −0.557711 | − | 0.254698i | −0.0288385 | − | 0.0131701i | ||||
\(375\) | 3.55528 | − | 6.05788i | 0.183594 | − | 0.312828i | ||||
\(376\) | −1.12151 | + | 7.80027i | −0.0578374 | + | 0.402268i | ||||
\(377\) | 1.14310 | + | 3.89303i | 0.0588725 | + | 0.200501i | ||||
\(378\) | −11.8471 | − | 3.75532i | −0.609348 | − | 0.193153i | ||||
\(379\) | −16.9516 | − | 26.3772i | −0.870745 | − | 1.35491i | −0.934136 | − | 0.356917i | \(-0.883828\pi\) |
0.0633915 | − | 0.997989i | \(-0.479808\pi\) | |||||||
\(380\) | −12.1191 | − | 18.8576i | −0.621695 | − | 0.967377i | ||||
\(381\) | −29.2894 | − | 23.3729i | −1.50054 | − | 1.19743i | ||||
\(382\) | −0.414394 | − | 1.41130i | −0.0212023 | − | 0.0722083i | ||||
\(383\) | −1.57094 | + | 10.9261i | −0.0802712 | + | 0.558298i | 0.909508 | + | 0.415687i | \(0.136459\pi\) |
−0.989779 | + | 0.142611i | \(0.954450\pi\) | |||||||
\(384\) | −1.49379 | − | 0.876686i | −0.0762299 | − | 0.0447382i | ||||
\(385\) | 1.27072 | + | 0.580318i | 0.0647618 | + | 0.0295757i | ||||
\(386\) | 1.72770 | − | 5.88402i | 0.0879379 | − | 0.299489i | ||||
\(387\) | 12.1725 | − | 12.4074i | 0.618761 | − | 0.630703i | ||||
\(388\) | 3.88079 | − | 0.557974i | 0.197017 | − | 0.0283268i | ||||
\(389\) | 7.36837 | + | 4.73537i | 0.373591 | + | 0.240093i | 0.713940 | − | 0.700207i | \(-0.246909\pi\) |
−0.340349 | + | 0.940299i | \(0.610545\pi\) | |||||||
\(390\) | −0.702920 | − | 3.79223i | −0.0355937 | − | 0.192027i | ||||
\(391\) | −9.20450 | − | 14.1216i | −0.465491 | − | 0.714162i | ||||
\(392\) | 1.27942i | 0.0646204i | ||||||||
\(393\) | −6.66704 | + | 16.3157i | −0.336308 | + | 0.823020i | ||||
\(394\) | −3.10316 | − | 21.5829i | −0.156335 | − | 1.08733i | ||||
\(395\) | −15.8505 | + | 7.23870i | −0.797527 | + | 0.364219i | ||||
\(396\) | −0.521597 | + | 0.0423192i | −0.0262112 | + | 0.00212662i | ||||
\(397\) | −8.98453 | + | 19.6734i | −0.450921 | + | 0.987378i | 0.538543 | + | 0.842598i | \(0.318975\pi\) |
−0.989464 | + | 0.144780i | \(0.953752\pi\) | |||||||
\(398\) | −0.279570 | + | 0.322641i | −0.0140136 | + | 0.0161725i | ||||
\(399\) | 1.12233 | + | 27.7115i | 0.0561867 | + | 1.38731i | ||||
\(400\) | −5.95957 | + | 1.74989i | −0.297979 | + | 0.0874944i | ||||
\(401\) | −20.6984 | − | 23.8872i | −1.03363 | − | 1.19287i | −0.980950 | − | 0.194258i | \(-0.937770\pi\) |
−0.0526774 | − | 0.998612i | \(-0.516776\pi\) | |||||||
\(402\) | −9.43992 | + | 8.87346i | −0.470820 | + | 0.442568i | ||||
\(403\) | −4.83486 | + | 3.10717i | −0.240841 | + | 0.154779i | ||||
\(404\) | 10.1241 | − | 8.77261i | 0.503694 | − | 0.436454i | ||||
\(405\) | 15.8046 | − | 25.6577i | 0.785336 | − | 1.27494i | ||||
\(406\) | −14.4437 | − | 2.07669i | −0.716830 | − | 0.103065i | ||||
\(407\) | 1.21545 | + | 1.05320i | 0.0602478 | + | 0.0522050i | ||||
\(408\) | −5.90589 | − | 1.47737i | −0.292385 | − | 0.0731405i | ||||
\(409\) | −8.06409 | − | 2.36783i | −0.398744 | − | 0.117082i | 0.0762116 | − | 0.997092i | \(-0.475718\pi\) |
−0.474955 | + | 0.880010i | \(0.657536\pi\) | |||||||
\(410\) | −3.90972 | − | 8.56109i | −0.193087 | − | 0.422802i | ||||
\(411\) | 5.70783 | + | 16.8797i | 0.281546 | + | 0.832612i | ||||
\(412\) | −0.709786 | + | 1.10445i | −0.0349687 | + | 0.0544123i | ||||
\(413\) | 24.3163 | 1.19653 | ||||||||
\(414\) | −12.7363 | − | 6.69229i | −0.625955 | − | 0.328908i | ||||
\(415\) | −39.8070 | −1.95405 | ||||||||
\(416\) | −0.359544 | + | 0.559462i | −0.0176281 | + | 0.0274299i | ||||
\(417\) | −1.41750 | − | 4.19196i | −0.0694155 | − | 0.205281i | ||||
\(418\) | 0.485127 | + | 1.06228i | 0.0237284 | + | 0.0519578i | ||||
\(419\) | −3.68715 | − | 1.08265i | −0.180129 | − | 0.0528907i | 0.190424 | − | 0.981702i | \(-0.439014\pi\) |
−0.370553 | + | 0.928811i | \(0.620832\pi\) | |||||||
\(420\) | 13.4563 | + | 3.36611i | 0.656601 | + | 0.164250i | ||||
\(421\) | 7.60912 | + | 6.59334i | 0.370846 | + | 0.321340i | 0.820268 | − | 0.571980i | \(-0.193824\pi\) |
−0.449422 | + | 0.893320i | \(0.648370\pi\) | |||||||
\(422\) | 9.91908 | + | 1.42615i | 0.482853 | + | 0.0694238i | ||||
\(423\) | 14.3480 | + | 18.7897i | 0.697624 | + | 0.913586i | ||||
\(424\) | 8.93131 | − | 7.73902i | 0.433743 | − | 0.375840i | ||||
\(425\) | −18.3656 | + | 11.8029i | −0.890862 | + | 0.572522i | ||||
\(426\) | −4.96831 | + | 4.67018i | −0.240715 | + | 0.226271i | ||||
\(427\) | 0.980656 | + | 1.13174i | 0.0474573 | + | 0.0547686i | ||||
\(428\) | −1.99389 | + | 0.585458i | −0.0963782 | + | 0.0282992i | ||||
\(429\) | 0.00813105 | + | 0.200764i | 0.000392571 | + | 0.00969299i | ||||
\(430\) | −12.7039 | + | 14.6611i | −0.612637 | + | 0.707020i | ||||
\(431\) | 0.368781 | − | 0.807518i | 0.0177636 | − | 0.0388968i | −0.900542 | − | 0.434768i | \(-0.856830\pi\) |
0.918306 | + | 0.395872i | \(0.129557\pi\) | |||||||
\(432\) | −5.01581 | + | 1.35708i | −0.241323 | + | 0.0652927i | ||||
\(433\) | −12.4673 | + | 5.69362i | −0.599140 | + | 0.273618i | −0.691811 | − | 0.722079i | \(-0.743187\pi\) |
0.0926709 | + | 0.995697i | \(0.470460\pi\) | |||||||
\(434\) | −2.94160 | − | 20.4593i | −0.141201 | − | 0.982076i | ||||
\(435\) | 13.3839 | − | 32.7535i | 0.641711 | − | 1.57041i | ||||
\(436\) | − | 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 | 0.950686 | − | 0.310154i | \(-0.100380\pi\) |
0.112804 | + | 0.993617i | \(0.464017\pi\) | |||||||
\(440\) | 0.578124 | − | 0.0831216i | 0.0275610 | − | 0.00396267i | ||||
\(441\) | 2.73987 | + | 2.68799i | 0.130470 | + | 0.128000i | ||||
\(442\) | −0.658545 | + | 2.24280i | −0.0313238 | + | 0.106679i | ||||
\(443\) | −3.04728 | − | 1.39165i | −0.144781 | − | 0.0661191i | 0.341707 | − | 0.939806i | \(-0.388995\pi\) |
−0.486488 | + | 0.873687i | \(0.661722\pi\) | |||||||
\(444\) | 13.7725 | + | 8.08288i | 0.653615 | + | 0.383597i | ||||
\(445\) | 7.23324 | − | 50.3083i | 0.342888 | − | 2.38484i | ||||
\(446\) | −1.30015 | − | 4.42789i | −0.0615637 | − | 0.209667i | ||||
\(447\) | −24.6638 | − | 19.6817i | −1.16656 | − | 0.930912i | ||||
\(448\) | −1.29309 | − | 2.01209i | −0.0610928 | − | 0.0950622i | ||||
\(449\) | 17.7152 | + | 27.5654i | 0.836031 | + | 1.30089i | 0.951522 | + | 0.307581i | \(0.0995196\pi\) |
−0.115491 | + | 0.993309i | \(0.536844\pi\) | |||||||
\(450\) | −8.77339 | + | 16.4388i | −0.413582 | + | 0.774934i | ||||
\(451\) | 0.138138 | + | 0.470455i | 0.00650466 | + | 0.0221528i | ||||
\(452\) | 1.48112 | − | 10.3014i | 0.0696661 | − | 0.484539i | ||||
\(453\) | 6.22428 | − | 10.6056i | 0.292442 | − | 0.498296i | ||||
\(454\) | 3.65469 | + | 1.66904i | 0.171523 | + | 0.0783320i | ||||
\(455\) | 1.50047 | − | 5.11012i | 0.0703429 | − | 0.239566i | ||||
\(456\) | 6.65871 | + | 9.49321i | 0.311823 | + | 0.444560i | ||||
\(457\) | −21.6467 | + | 3.11233i | −1.01259 | + | 0.145588i | −0.628584 | − | 0.777742i | \(-0.716365\pi\) |
−0.384006 | + | 0.923330i | \(0.625456\pi\) | |||||||
\(458\) | −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 | \(0.728477\pi\) | |||||||
\(462\) | −0.668942 | − | 0.273347i | −0.0311220 | − | 0.0127173i | ||||
\(463\) | 1.87739 | + | 13.0575i | 0.0872497 | + | 0.606835i | 0.985795 | + | 0.167954i | \(0.0537160\pi\) |
−0.898545 | + | 0.438881i | \(0.855375\pi\) | |||||||
\(464\) | −5.54968 | + | 2.53446i | −0.257638 | + | 0.117659i | ||||
\(465\) | 49.8565 | + | 5.11926i | 2.31204 | + | 0.237400i | ||||
\(466\) | 8.65833 | − | 18.9591i | 0.401089 | − | 0.878263i | ||||
\(467\) | 15.3824 | − | 17.7523i | 0.711815 | − | 0.821478i | −0.278483 | − | 0.960441i | \(-0.589832\pi\) |
0.990298 | + | 0.138963i | \(0.0443770\pi\) | |||||||
\(468\) | 0.442701 | + | 1.94536i | 0.0204638 | + | 0.0899245i | ||||
\(469\) | −17.1657 | + | 5.04032i | −0.792640 | + | 0.232740i | ||||
\(470\) | −17.2793 | − | 19.9414i | −0.797037 | − | 0.919829i | ||||
\(471\) | −2.03997 | − | 2.17020i | −0.0939971 | − | 0.0999976i | ||||
\(472\) | 8.55273 | − | 5.49651i | 0.393671 | − | 0.252997i | ||||
\(473\) | 0.763799 | − | 0.661836i | 0.0351195 | − | 0.0304312i | ||||
\(474\) | 8.04110 | − | 4.07326i | 0.369340 | − | 0.187091i | ||||
\(475\) | 41.1591 | + | 5.91778i | 1.88851 | + | 0.271526i | ||||
\(476\) | −6.35335 | − | 5.50521i | −0.291205 | − | 0.252331i | ||||
\(477\) | 2.19115 | − | 35.3857i | 0.100326 | − | 1.62020i | ||||
\(478\) | 8.68772 | + | 2.55094i | 0.397367 | + | 0.116677i | ||||
\(479\) | −6.11943 | − | 13.3997i | −0.279604 | − | 0.612247i | 0.716772 | − | 0.697308i | \(-0.245619\pi\) |
−0.996376 | + | 0.0850605i | \(0.972892\pi\) | |||||||
\(480\) | 5.49384 | − | 1.85773i | 0.250759 | − | 0.0847936i | ||||
\(481\) | 3.31493 | − | 5.15814i | 0.151148 | − | 0.235191i | ||||
\(482\) | 4.06334 | 0.185080 | ||||||||
\(483\) | −11.5133 | − | 16.1915i | −0.523874 | − | 0.736737i | ||||
\(484\) | 10.9696 | 0.498617 | ||||||||
\(485\) | −7.09738 | + | 11.0437i | −0.322275 | + | 0.501470i | ||||
\(486\) | −7.63178 | + | 13.5925i | −0.346184 | + | 0.616568i | ||||
\(487\) | 10.3827 | + | 22.7350i | 0.470486 | + | 1.03022i | 0.984971 | + | 0.172721i | \(0.0552559\pi\) |
−0.514485 | + | 0.857499i | \(0.672017\pi\) | |||||||
\(488\) | 0.600744 | + | 0.176394i | 0.0271944 | + | 0.00798500i | ||||
\(489\) | −0.418369 | + | 1.67246i | −0.0189193 | + | 0.0756314i | ||||
\(490\) | −3.23755 | − | 2.80535i | −0.146257 | − | 0.126733i | ||||
\(491\) | 9.28010 | + | 1.33428i | 0.418805 | + | 0.0602151i | 0.348496 | − | 0.937310i | \(-0.386692\pi\) |
0.0703089 | + | 0.997525i | \(0.477602\pi\) | |||||||
\(492\) | 2.20002 | + | 4.34310i | 0.0991845 | + | 0.195802i | ||||
\(493\) | −16.2063 | + | 14.0429i | −0.729897 | + | 0.632459i | ||||
\(494\) | 3.74546 | − | 2.40706i | 0.168516 | − | 0.108299i | ||||
\(495\) | 1.03660 | − | 1.41268i | 0.0465919 | − | 0.0634954i | ||||
\(496\) | −5.65929 | − | 6.53117i | −0.254110 | − | 0.293258i | ||||
\(497\) | −9.03448 | + | 2.65276i | −0.405252 | + | 0.118993i | ||||
\(498\) | 20.5750 | − | 0.833296i | 0.921986 | − | 0.0373409i | ||||
\(499\) | 6.20722 | − | 7.16351i | 0.277873 | − | 0.320683i | −0.599608 | − | 0.800294i | \(-0.704677\pi\) |
0.877481 | + | 0.479611i | \(0.159222\pi\) | |||||||
\(500\) | 1.68466 | − | 3.68889i | 0.0753403 | − | 0.164972i | ||||
\(501\) | −1.95935 | + | 19.0821i | −0.0875374 | + | 0.852527i | ||||
\(502\) | −4.77847 | + | 2.18225i | −0.213274 | + | 0.0973988i | ||||
\(503\) | −3.97959 | − | 27.6786i | −0.177441 | − | 1.23413i | −0.862657 | − | 0.505789i | \(-0.831201\pi\) |
0.685216 | − | 0.728340i | \(-0.259708\pi\) | |||||||
\(504\) | −7.02560 | − | 1.45815i | −0.312945 | − | 0.0649511i | ||||
\(505\) | 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 | \(-0.830635\pi\) |
−0.683920 | + | 0.729557i | \(0.739726\pi\) | |||||||
\(510\) | 16.6882 | − | 11.7054i | 0.738964 | − | 0.518323i | ||||
\(511\) | −4.09811 | + | 13.9569i | −0.181290 | + | 0.617416i | ||||
\(512\) | −0.909632 | − | 0.415415i | −0.0402004 | − | 0.0183589i | ||||
\(513\) | 34.3193 | + | 5.68517i | 1.51523 | + | 0.251006i | ||||
\(514\) | −2.60151 | + | 18.0939i | −0.114748 | + | 0.798088i | ||||
\(515\) | −1.23846 | − | 4.21780i | −0.0545730 | − | 0.185858i | ||||
\(516\) | 6.25933 | − | 7.84378i | 0.275552 | − | 0.345303i | ||||
\(517\) | 0.743190 | + | 1.15643i | 0.0326855 | + | 0.0508596i | ||||
\(518\) | 11.9221 | + | 18.5511i | 0.523825 | + | 0.815088i | ||||
\(519\) | −2.61504 | + | 3.27700i | −0.114788 | + | 0.143844i | ||||
\(520\) | −0.627344 | − | 2.13654i | −0.0275109 | − | 0.0936934i | ||||
\(521\) | 0.0294211 | − | 0.204628i | 0.00128896 | − | 0.00896492i | −0.989167 | − | 0.146796i | \(-0.953104\pi\) |
0.990456 | + | 0.137831i | \(0.0440131\pi\) | |||||||
\(522\) | −6.23208 | + | 17.2094i | −0.272771 | + | 0.753235i | ||||
\(523\) | 13.7188 | + | 6.26517i | 0.599882 | + | 0.273957i | 0.692123 | − | 0.721780i | \(-0.256676\pi\) |
−0.0922407 | + | 0.995737i | \(0.529403\pi\) | |||||||
\(524\) | −2.86691 | + | 9.76380i | −0.125242 | + | 0.426533i | ||||
\(525\) | −21.0655 | + | 14.7757i | −0.919373 | + | 0.644865i | ||||
\(526\) | 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 | ||||||||
\(531\) | 6.19812 | − | 29.8635i | 0.268975 | − | 1.29597i | ||||
\(532\) | 2.27880 | + | 15.8494i | 0.0987983 | + | 0.687158i | ||||
\(533\) | 1.70038 | − | 0.776539i | 0.0736518 | − | 0.0336357i | ||||
\(534\) | −2.68550 | + | 26.1541i | −0.116213 | + | 1.13180i | ||||
\(535\) | 2.89046 | − | 6.32922i | 0.124965 | − | 0.273636i | ||||
\(536\) | −4.89835 | + | 5.65299i | −0.211576 | + | 0.244172i | ||||
\(537\) | 21.9052 | − | 0.887172i | 0.945281 | − | 0.0382843i | ||||
\(538\) | −8.78029 | + | 2.57813i | −0.378545 | + | 0.111151i | ||||
\(539\) | 0.146150 | + | 0.168667i | 0.00629514 | + | 0.00726498i | ||||
\(540\) | 7.56397 | − | 15.6681i | 0.325501 | − | 0.674246i | ||||
\(541\) | 33.1433 | − | 21.2999i | 1.42494 | − | 0.915754i | 0.424997 | − | 0.905195i | \(-0.360275\pi\) |
0.999944 | − | 0.0105589i | \(-0.00336105\pi\) | |||||||
\(542\) | 20.2050 | − | 17.5078i | 0.867881 | − | 0.752023i | ||||
\(543\) | 7.24079 | + | 14.2942i | 0.310732 | + | 0.613423i | ||||
\(544\) | −3.47906 | − | 0.500213i | −0.149163 | − | 0.0214465i | ||||
\(545\) | 7.35758 | + | 6.37538i | 0.315164 | + | 0.273091i | ||||
\(546\) | −0.668570 | + | 2.67266i | −0.0286122 | + | 0.114379i | ||||
\(547\) | −13.5569 | − | 3.98068i | −0.579653 | − | 0.170201i | −0.0212542 | − | 0.999774i | \(-0.506766\pi\) |
−0.558399 | + | 0.829573i | \(0.688584\pi\) | |||||||
\(548\) | 4.27361 | + | 9.35790i | 0.182560 | + | 0.399750i | ||||
\(549\) | 1.63988 | − | 0.915895i | 0.0699884 | − | 0.0390895i | ||||
\(550\) | −0.585761 | + | 0.911462i | −0.0249769 | + | 0.0388649i | ||||
\(551\) | 40.8449 | 1.74005 | ||||||||
\(552\) | −7.70950 | − | 3.09250i | −0.328138 | − | 0.131626i | ||||
\(553\) | 12.4472 | 0.529311 | ||||||||
\(554\) | 15.0282 | − | 23.3843i | 0.638486 | − | 0.993503i | ||||
\(555\) | −50.6523 | + | 17.1280i | −2.15007 | + | 0.727042i | ||||
\(556\) | −1.06133 | − | 2.32398i | −0.0450102 | − | 0.0985586i | ||||
\(557\) | −13.5725 | − | 3.98526i | −0.575087 | − | 0.168861i | −0.0187599 | − | 0.999824i | \(-0.505972\pi\) |
−0.556327 | + | 0.830963i | \(0.687790\pi\) | |||||||
\(558\) | −25.8764 | − | 1.60232i | −1.09543 | − | 0.0678314i | ||||
\(559\) | −2.91195 | − | 2.52322i | −0.123162 | − | 0.106721i | ||||
\(560\) | 7.92688 | + | 1.13971i | 0.334972 | + | 0.0481617i | ||||
\(561\) | −0.947340 | + | 0.479879i | −0.0399967 | + | 0.0202605i | ||||
\(562\) | −15.2148 | + | 13.1837i | −0.641796 | + | 0.556119i | ||||
\(563\) | −7.24324 | + | 4.65495i | −0.305266 | + | 0.196183i | −0.684301 | − | 0.729200i | \(-0.739892\pi\) |
0.379035 | + | 0.925382i | \(0.376256\pi\) | |||||||
\(564\) | 9.34857 | + | 9.94536i | 0.393646 | + | 0.418775i | ||||
\(565\) | 22.8200 | + | 26.3357i | 0.960044 | + | 1.10795i | ||||
\(566\) | −10.1097 | + | 2.96846i | −0.424941 | + | 0.124774i | ||||
\(567\) | −17.8831 | + | 11.9818i | −0.751018 | + | 0.503188i | ||||
\(568\) | −2.57804 | + | 2.97522i | −0.108172 | + | 0.124837i | ||||
\(569\) | −3.20388 | + | 7.01552i | −0.134314 | + | 0.294106i | −0.964824 | − | 0.262898i | \(-0.915322\pi\) |
0.830510 | + | 0.557004i | \(0.188049\pi\) | |||||||
\(570\) | −38.6228 | − | 3.96579i | −1.61773 | − | 0.166109i | ||||
\(571\) | −15.9160 | + | 7.26859i | −0.666064 | + | 0.304181i | −0.719604 | − | 0.694385i | \(-0.755677\pi\) |
0.0535404 | + | 0.998566i | \(0.482949\pi\) | |||||||
\(572\) | 0.0165094 | + | 0.114826i | 0.000690294 | + | 0.00480110i | ||||
\(573\) | −2.35834 | − | 0.963680i | −0.0985211 | − | 0.0402583i | ||||
\(574\) | 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 | 0.110896 | − | 0.993832i | \(-0.464628\pi\) |
−0.857954 | + | 0.513727i | \(0.828264\pi\) | |||||||
\(578\) | 4.59865 | − | 0.661187i | 0.191279 | − | 0.0275017i | ||||
\(579\) | −6.09941 | − | 8.69582i | −0.253483 | − | 0.361386i | ||||
\(580\) | 5.75526 | − | 19.6006i | 0.238974 | − | 0.813871i | ||||
\(581\) | 25.8655 | + | 11.8124i | 1.07308 | + | 0.490059i | ||||
\(582\) | 3.43722 | − | 5.85672i | 0.142477 | − | 0.242769i | ||||
\(583\) | 0.293377 | − | 2.04048i | 0.0121504 | − | 0.0845081i | ||||
\(584\) | 1.71342 | + | 5.83537i | 0.0709018 | + | 0.241469i | ||||
\(585\) | −5.89341 | − | 3.14531i | −0.243663 | − | 0.130042i | ||||
\(586\) | −0.815155 | − | 1.26841i | −0.0336737 | − | 0.0523973i | ||||
\(587\) | −8.61402 | − | 13.4037i | −0.355539 | − | 0.553229i | 0.616706 | − | 0.787193i | \(-0.288467\pi\) |
−0.972245 | + | 0.233964i | \(0.924830\pi\) | |||||||
\(588\) | 1.73211 | + | 1.38222i | 0.0714309 | + | 0.0570019i | ||||
\(589\) | 16.2999 | + | 55.5124i | 0.671626 | + | 2.28735i | ||||
\(590\) | −4.84455 | + | 33.6946i | −0.199447 | + | 1.38718i | ||||
\(591\) | −32.5720 | − | 19.1160i | −1.33983 | − | 0.786329i | ||||
\(592\) | 8.38664 | + | 3.83005i | 0.344689 | + | 0.157414i | ||||
\(593\) | 12.4444 | − | 42.3816i | 0.511029 | − | 1.74041i | −0.148681 | − | 0.988885i | \(-0.547503\pi\) |
0.659710 | − | 0.751520i | \(-0.270679\pi\) | |||||||
\(594\) | −0.506215 | + | 0.751870i | −0.0207702 | + | 0.0308496i | ||||
\(595\) | 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 | \(-0.114934\pi\) | |||||||
\(600\) | −4.06939 | + | 9.95871i | −0.166132 | + | 0.406563i | ||||
\(601\) | −3.18966 | − | 22.1846i | −0.130109 | − | 0.904928i | −0.945408 | − | 0.325888i | \(-0.894337\pi\) |
0.815299 | − | 0.579040i | \(-0.196572\pi\) | |||||||
\(602\) | 12.6052 | − | 5.75659i | 0.513748 | − | 0.234621i | ||||
\(603\) | 1.81468 | + | 22.3665i | 0.0738995 | + | 0.910832i | ||||
\(604\) | 2.94936 | − | 6.45819i | 0.120008 | − | 0.262780i | ||||
\(605\) | −24.0527 | + | 27.7583i | −0.977882 | + | 1.12854i | ||||
\(606\) | −0.938955 | − | 23.1838i | −0.0381424 | − | 0.941777i | ||||
\(607\) | 28.7490 | − | 8.44146i | 1.16688 | − | 0.342628i | 0.359780 | − | 0.933037i | \(-0.382852\pi\) |
0.807104 | + | 0.590409i | \(0.201034\pi\) | |||||||
\(608\) | 4.38414 | + | 5.05956i | 0.177800 | + | 0.205192i | ||||
\(609\) | −18.4158 | + | 17.3107i | −0.746245 | + | 0.701466i | ||||
\(610\) | −1.76360 | + | 1.13340i | −0.0714061 | + | 0.0458899i | ||||
\(611\) | 3.96072 | − | 3.43198i | 0.160234 | − | 0.138843i | ||||
\(612\) | −8.38053 | + | 6.39947i | −0.338763 | + | 0.258683i | ||||
\(613\) | −19.0654 | − | 2.74119i | −0.770043 | − | 0.110715i | −0.253914 | − | 0.967227i | \(-0.581718\pi\) |
−0.516128 | + | 0.856511i | \(0.672627\pi\) | |||||||
\(614\) | 11.4563 | + | 9.92694i | 0.462339 | + | 0.400619i | ||||
\(615\) | −15.8141 | − | 3.95591i | −0.637685 | − | 0.159518i | ||||
\(616\) | −0.400313 | − | 0.117543i | −0.0161291 | − | 0.00473593i | ||||
\(617\) | −17.4628 | − | 38.2382i | −0.703026 | − | 1.53941i | −0.836264 | − | 0.548328i | \(-0.815265\pi\) |
0.133238 | − | 0.991084i | \(-0.457463\pi\) | |||||||
\(618\) | 0.728411 | + | 2.15412i | 0.0293010 | + | 0.0866514i | ||||
\(619\) | 22.5746 | − | 35.1268i | 0.907352 | − | 1.41187i | −0.00388892 | − | 0.999992i | \(-0.501238\pi\) |
0.911241 | − | 0.411874i | \(-0.135126\pi\) | |||||||
\(620\) | 28.9360 | 1.16210 | ||||||||
\(621\) | −22.8199 | + | 10.0127i | −0.915730 | + | 0.401795i | ||||
\(622\) | 4.80371 | 0.192611 | ||||||||
\(623\) | −19.6285 | + | 30.5425i | −0.786398 | + | 1.22366i | ||||
\(624\) | 0.368979 | + | 1.09118i | 0.0147710 | + | 0.0436820i | ||||
\(625\) | −7.26030 | − | 15.8978i | −0.290412 | − | 0.635914i | ||||
\(626\) | −12.1317 | − | 3.56220i | −0.484882 | − | 0.142374i | ||||
\(627\) | 1.96225 | + | 0.490859i | 0.0783647 | + | 0.0196030i | ||||
\(628\) | −1.29960 | − | 1.12611i | −0.0518597 | − | 0.0449367i | ||||
\(629\) | 32.0763 | + | 4.61187i | 1.27897 | + | 0.183887i | ||||
\(630\) | 19.0947 | − | 14.5809i | 0.760750 | − | 0.580917i | ||||
\(631\) | 29.5322 | − | 25.5898i | 1.17566 | − | 1.01871i | 0.176247 | − | 0.984346i | \(-0.443604\pi\) |
0.999409 | − | 0.0343665i | \(-0.0109414\pi\) | |||||||
\(632\) | 4.37804 | − | 2.81360i | 0.174149 | − | 0.111919i | ||||
\(633\) | 12.6468 | − | 11.8880i | 0.502667 | − | 0.472504i | ||||
\(634\) | 3.25951 | + | 3.76168i | 0.129452 | + | 0.149395i | ||||
\(635\) | 69.5049 | − | 20.4085i | 2.75822 | − | 0.809886i | ||||
\(636\) | −0.828327 | − | 20.4523i | −0.0328453 | − | 0.810986i | ||||
\(637\) | 0.557192 | − | 0.643034i | 0.0220768 | − | 0.0254779i | ||||
\(638\) | −0.442102 | + | 0.968069i | −0.0175030 | + | 0.0383262i | ||||
\(639\) | 0.955082 | + | 11.7717i | 0.0377825 | + | 0.465680i | ||||
\(640\) | 3.04573 | − | 1.39094i | 0.120393 | − | 0.0549816i | ||||
\(641\) | 4.47358 | + | 31.1145i | 0.176696 | + | 1.22895i | 0.864343 | + | 0.502902i | \(0.167734\pi\) |
−0.687647 | + | 0.726045i | \(0.741356\pi\) | |||||||
\(642\) | −1.36149 | + | 3.33187i | −0.0537338 | + | 0.131499i | ||||
\(643\) | − | 15.5189i | − | 0.612005i | −0.952031 | − | 0.306003i | \(-0.901008\pi\) | ||
0.952031 | − | 0.306003i | \(-0.0989916\pi\) | |||||||
\(644\) | −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 | \(-0.668426\pi\) |
−0.241126 | + | 0.970494i | \(0.577517\pi\) | |||||||
\(648\) | −3.58158 | + | 8.25665i | −0.140698 | + | 0.324352i | ||||
\(649\) | 0.499636 | − | 1.70160i | 0.0196124 | − | 0.0667937i | ||||
\(650\) | 3.75736 | + | 1.71593i | 0.147376 | + | 0.0673042i | ||||
\(651\) | −30.8762 | − | 18.1208i | −1.21013 | − | 0.710210i | ||||
\(652\) | −0.141653 | + | 0.985219i | −0.00554756 | + | 0.0385842i | ||||
\(653\) | 0.503391 | + | 1.71439i | 0.0196992 | + | 0.0670894i | 0.968756 | − | 0.248016i | \(-0.0797784\pi\) |
−0.949057 | + | 0.315105i | \(0.897960\pi\) | |||||||
\(654\) | −3.93635 | − | 3.14121i | −0.153924 | − | 0.122831i | ||||
\(655\) | −18.4209 | − | 28.6635i | −0.719765 | − | 1.11998i | ||||
\(656\) | 1.51966 | + | 2.36464i | 0.0593328 | + | 0.0923236i | ||||
\(657\) | 16.0962 | + | 8.59054i | 0.627974 | + | 0.335149i | ||||
\(658\) | 5.31019 | + | 18.0848i | 0.207013 | + | 0.705021i | ||||
\(659\) | −0.757007 | + | 5.26510i | −0.0294888 | + | 0.205099i | −0.999239 | − | 0.0389994i | \(-0.987583\pi\) |
0.969750 | + | 0.244099i | \(0.0784921\pi\) | |||||||
\(660\) | 0.512044 | − | 0.872478i | 0.0199313 | − | 0.0339612i | ||||
\(661\) | −10.3085 | − | 4.70775i | −0.400956 | − | 0.183110i | 0.204722 | − | 0.978820i | \(-0.434371\pi\) |
−0.605678 | + | 0.795710i | \(0.707098\pi\) | |||||||
\(662\) | −2.25050 | + | 7.66449i | −0.0874681 | + | 0.297889i | ||||
\(663\) | 2.32489 | + | 3.31456i | 0.0902914 | + | 0.128727i | ||||
\(664\) | 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 | ||||||||
\(669\) | −7.39920 | − | 3.02351i | −0.286070 | − | 0.116896i | ||||
\(670\) | −3.56432 | − | 24.7904i | −0.137702 | − | 0.957735i | ||||
\(671\) | 0.0993463 | − | 0.0453699i | 0.00383522 | − | 0.00175149i | ||||
\(672\) | −4.12101 | − | 0.423145i | −0.158971 | − | 0.0163232i | ||||
\(673\) | 2.75706 | − | 6.03712i | 0.106277 | − | 0.232714i | −0.849021 | − | 0.528359i | \(-0.822807\pi\) |
0.955298 | + | 0.295645i | \(0.0955347\pi\) | |||||||
\(674\) | −5.27952 | + | 6.09289i | −0.203359 | + | 0.234689i | ||||
\(675\) | 12.7770 | + | 29.6373i | 0.491785 | + | 1.14074i | ||||
\(676\) | −12.0491 | + | 3.53792i | −0.463425 | + | 0.136074i | ||||
\(677\) | 21.5893 | + | 24.9153i | 0.829743 | + | 0.957575i | 0.999611 | − | 0.0278922i | \(-0.00887951\pi\) |
−0.169868 | + | 0.985467i | \(0.554334\pi\) | |||||||
\(678\) | −12.3462 | − | 13.1343i | −0.474153 | − | 0.504422i | ||||
\(679\) | 7.88880 | − | 5.06982i | 0.302744 | − | 0.194562i | ||||
\(680\) | 8.89423 | − | 7.70689i | 0.341078 | − | 0.295546i | ||||
\(681\) | 6.20794 | − | 3.14466i | 0.237889 | − | 0.120504i | ||||
\(682\) | −1.49214 | − | 0.214537i | −0.0571368 | − | 0.00821504i | ||||
\(683\) | −4.45133 | − | 3.85710i | −0.170325 | − | 0.147588i | 0.565527 | − | 0.824730i | \(-0.308673\pi\) |
−0.735852 | + | 0.677142i | \(0.763218\pi\) | |||||||
\(684\) | 20.0459 | + | 1.24128i | 0.766474 | + | 0.0474616i | ||||
\(685\) | −33.0506 | − | 9.70455i | −1.26280 | − | 0.370792i | ||||
\(686\) | 8.22625 | + | 18.0130i | 0.314080 | + | 0.687739i | ||||
\(687\) | −10.6222 | + | 3.59188i | −0.405262 | + | 0.137039i | ||||
\(688\) | 3.13236 | − | 4.87405i | 0.119420 | − | 0.185821i | ||||
\(689\) | −7.85924 | −0.299413 | ||||||||
\(690\) | 24.7300 | − | 12.7279i | 0.941454 | − | 0.484543i | ||||
\(691\) | 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 | ||||
\(693\) | −1.09276 | + | 0.610319i | −0.0415104 | + | 0.0231841i | ||||
\(694\) | −0.644637 | − | 1.41156i | −0.0244701 | − | 0.0535820i | ||||
\(695\) | 8.20793 | + | 2.41007i | 0.311344 | + | 0.0914190i | ||||
\(696\) | −2.56440 | + | 10.2514i | −0.0972033 | + | 0.388578i | ||||
\(697\) | 7.46656 | + | 6.46981i | 0.282816 | + | 0.245061i | ||||
\(698\) | 1.63959 | + | 0.235738i | 0.0620595 | + | 0.00892281i | ||||
\(699\) | −16.3132 | − | 32.2043i | −0.617024 | − | 1.21808i | ||||
\(700\) | −11.2272 | + | 9.72842i | −0.424348 | + | 0.367700i | ||||
\(701\) | −7.79469 | + | 5.00934i | −0.294401 | + | 0.189200i | −0.679501 | − | 0.733675i | \(-0.737804\pi\) |
0.385099 | + | 0.922875i | \(0.374167\pi\) | |||||||
\(702\) | 3.11195 | + | 1.50234i | 0.117453 | + | 0.0567021i | ||||
\(703\) | −40.4210 | − | 46.6483i | −1.52451 | − | 1.75937i | ||||
\(704\) | −0.167371 | + | 0.0491445i | −0.00630803 | + | 0.00185220i | ||||
\(705\) | −45.6650 | + | 1.84945i | −1.71984 | + | 0.0696544i | ||||
\(706\) | 13.7977 | − | 15.9234i | 0.519284 | − | 0.599286i | ||||
\(707\) | 13.3101 | − | 29.1451i | 0.500579 | − | 1.09611i | ||||
\(708\) | 1.79865 | − | 17.5171i | 0.0675974 | − | 0.658331i | ||||
\(709\) | 37.3484 | − | 17.0564i | 1.40265 | − | 0.640568i | 0.436772 | − | 0.899572i | \(-0.356122\pi\) |
0.965876 | + | 0.259004i | \(0.0833944\pi\) | |||||||
\(710\) | −1.87593 | − | 13.0474i | −0.0704024 | − | 0.489660i | ||||
\(711\) | 3.17274 | − | 15.2868i | 0.118987 | − | 0.573299i | ||||
\(712\) | 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 | ||||
\(717\) | 12.8393 | − | 9.00573i | 0.479493 | − | 0.336325i | ||||
\(718\) | 1.55152 | − | 5.28399i | 0.0579022 | − | 0.197197i | ||||
\(719\) | 13.1320 | + | 5.99720i | 0.489742 | + | 0.223658i | 0.644951 | − | 0.764224i | \(-0.276878\pi\) |
−0.155209 | + | 0.987882i | \(0.549605\pi\) | |||||||
\(720\) | 3.42024 | − | 9.44471i | 0.127465 | − | 0.351983i | ||||
\(721\) | −0.446878 | + | 3.10811i | −0.0166426 | + | 0.115752i | ||||
\(722\) | −7.27429 | − | 24.7740i | −0.270721 | − | 0.921991i | ||||
\(723\) | 4.38983 | − | 5.50104i | 0.163260 | − | 0.204586i | ||||
\(724\) | 5.00157 | + | 7.78259i | 0.185882 | + | 0.289238i | ||||
\(725\) | 20.4873 | + | 31.8788i | 0.760879 | + | 1.18395i | ||||
\(726\) | 11.8510 | − | 14.8509i | 0.439832 | − | 0.551168i | ||||
\(727\) | −3.71466 | − | 12.6510i | −0.137769 | − | 0.469199i | 0.861486 | − | 0.507781i | \(-0.169534\pi\) |
−0.999255 | + | 0.0385823i | \(0.987716\pi\) | |||||||
\(728\) | −0.226367 | + | 1.57442i | −0.00838973 | + | 0.0583519i | ||||
\(729\) | 10.1569 | + | 25.0168i | 0.376180 | + | 0.926547i | ||||
\(730\) | −18.5233 | − | 8.45930i | −0.685577 | − | 0.313093i | ||||
\(731\) | 5.73726 | − | 19.5393i | 0.212200 | − | 0.722688i | ||||
\(732\) | 0.887822 | − | 0.622734i | 0.0328148 | − | 0.0230169i | ||||
\(733\) | −32.6830 | + | 4.69910i | −1.20717 | + | 0.173565i | −0.716380 | − | 0.697711i | \(-0.754202\pi\) |
−0.490794 | + | 0.871276i | \(0.663293\pi\) | |||||||
\(734\) | −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 | ||||||||
\(738\) | 8.25659 | + | 1.71364i | 0.303929 | + | 0.0630800i | ||||
\(739\) | 6.07636 | + | 42.2620i | 0.223522 | + | 1.55463i | 0.724563 | + | 0.689209i | \(0.242042\pi\) |
−0.501040 | + | 0.865424i | \(0.667049\pi\) | |||||||
\(740\) | −28.0811 | + | 12.8242i | −1.03228 | + | 0.471427i | ||||
\(741\) | 0.787676 | − | 7.67118i | 0.0289360 | − | 0.281808i | ||||
\(742\) | 11.7419 | − | 25.7112i | 0.431060 | − | 0.943889i | ||||
\(743\) | −4.25720 | + | 4.91307i | −0.156181 | + | 0.180243i | −0.828448 | − | 0.560067i | \(-0.810776\pi\) |
0.672266 | + | 0.740309i | \(0.265321\pi\) | |||||||
\(744\) | −14.9561 | + | 0.605728i | −0.548317 | + | 0.0222071i | ||||
\(745\) | 58.5281 | − | 17.1854i | 2.14431 | − | 0.629625i | ||||
\(746\) | −2.97492 | − | 3.43324i | −0.108920 | − | 0.125700i | ||||
\(747\) | 21.1001 | − | 28.7551i | 0.772011 | − | 1.05210i | ||||
\(748\) | −0.515787 | + | 0.331476i | −0.0188590 | + | 0.0121200i | ||||
\(749\) | −3.75627 | + | 3.25483i | −0.137251 | + | 0.118929i | ||||
\(750\) | −3.17409 | − | 6.26603i | −0.115901 | − | 0.228803i | ||||
\(751\) | 40.7209 | + | 5.85478i | 1.48593 | + | 0.213644i | 0.836998 | − | 0.547206i | \(-0.184308\pi\) |
0.648928 | + | 0.760850i | \(0.275217\pi\) | |||||||
\(752\) | 5.95567 | + | 5.16062i | 0.217181 | + | 0.188188i | ||||
\(753\) | −2.20804 | + | 8.82681i | −0.0804654 | + | 0.321667i | ||||
\(754\) | 3.89303 | + | 1.14310i | 0.141776 | + | 0.0416291i | ||||
\(755\) | 9.87536 | + | 21.6240i | 0.359401 | + | 0.786979i | ||||
\(756\) | −9.56419 | + | 7.93611i | −0.347846 | + | 0.288634i | ||||
\(757\) | −23.4969 | + | 36.5618i | −0.854008 | + | 1.32886i | 0.0889786 | + | 0.996034i | \(0.471640\pi\) |
−0.942987 | + | 0.332829i | \(0.891997\pi\) | |||||||
\(758\) | −31.3546 | −1.13885 | ||||||||
\(759\) | −1.36961 | + | 0.472984i | −0.0497137 | + | 0.0171682i | ||||
\(760\) | −22.4161 | −0.813119 | ||||||||
\(761\) | 18.9836 | − | 29.5390i | 0.688154 | − | 1.07079i | −0.304815 | − | 0.952412i | \(-0.598595\pi\) |
0.992969 | − | 0.118377i | \(-0.0377691\pi\) | |||||||
\(762\) | −35.4976 | + | 12.0035i | −1.28594 | + | 0.434839i | ||||
\(763\) | −2.88891 | − | 6.32583i | −0.104586 | − | 0.229010i | ||||
\(764\) | −1.41130 | − | 0.414394i | −0.0510589 | − | 0.0149923i | ||||
\(765\) | 2.18205 | − | 35.2387i | 0.0788922 | − | 1.27406i | ||||
\(766\) | 8.34232 | + | 7.22866i | 0.301420 | + | 0.261182i | ||||
\(767\) | −6.69235 | − | 0.962214i | −0.241647 | − | 0.0347435i | ||||
\(768\) | −1.54512 | + | 0.782688i | −0.0557548 | + | 0.0282428i | ||||
\(769\) | −7.25051 | + | 6.28260i | −0.261460 | + | 0.226556i | −0.775719 | − | 0.631079i | \(-0.782613\pi\) |
0.514259 | + | 0.857635i | \(0.328067\pi\) | |||||||
\(770\) | 1.17520 | − | 0.755253i | 0.0423512 | − | 0.0272174i | ||||
\(771\) | 21.6854 | + | 23.0698i | 0.780982 | + | 0.830837i | ||||
\(772\) | −4.01589 | − | 4.63458i | −0.144535 | − | 0.166802i | ||||
\(773\) | 11.4452 | − | 3.36061i | 0.411655 | − | 0.120873i | −0.0693464 | − | 0.997593i | \(-0.522091\pi\) |
0.481001 | + | 0.876720i | \(0.340273\pi\) | |||||||
\(774\) | −3.85682 | − | 16.9481i | −0.138631 | − | 0.609186i | ||||
\(775\) | −35.1508 | + | 40.5662i | −1.26265 | + | 1.45718i | ||||
\(776\) | 1.62872 | − | 3.56640i | 0.0584676 | − | 0.128026i | ||||
\(777\) | 37.9949 | + | 3.90132i | 1.36306 | + | 0.139959i | ||||
\(778\) | 7.96729 | − | 3.63854i | 0.285641 | − | 0.130448i | ||||
\(779\) | −2.67808 | − | 18.6264i | −0.0959521 | − | 0.667361i | ||||
\(780\) | −3.57025 | − | 1.45890i | −0.127835 | − | 0.0522369i | ||||
\(781\) | 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 | ||||
\(786\) | 10.1212 | + | 14.4296i | 0.361011 | + | 0.514688i | ||||
\(787\) | −13.0008 | + | 44.2766i | −0.463428 | + | 1.57829i | 0.314068 | + | 0.949401i | \(0.398308\pi\) |
−0.777495 | + | 0.628889i | \(0.783510\pi\) | |||||||
\(788\) | −19.8344 | − | 9.05808i | −0.706572 | − | 0.322681i | ||||
\(789\) | 20.3364 | − | 34.6515i | 0.723996 | − | 1.23363i | ||||
\(790\) | −2.47987 | + | 17.2479i | −0.0882298 | + | 0.613651i | ||||
\(791\) | −7.01290 | − | 23.8838i | −0.249350 | − | 0.849209i | ||||
\(792\) | −0.246395 | + | 0.461675i | −0.00875527 | + | 0.0164049i | ||||
\(793\) | −0.225113 | − | 0.350282i | −0.00799399 | − | 0.0124389i | ||||
\(794\) | 11.6929 | + | 18.1945i | 0.414965 | + | 0.645698i | ||||
\(795\) | 53.5704 | + | 42.7492i | 1.89995 | + | 1.51616i | ||||
\(796\) | 0.120276 | + | 0.409622i | 0.00426306 | + | 0.0145187i | ||||
\(797\) | −6.37259 | + | 44.3223i | −0.225729 | + | 1.56998i | 0.490078 | + | 0.871678i | \(0.336968\pi\) |
−0.715807 | + | 0.698298i | \(0.753941\pi\) | |||||||
\(798\) | 23.9192 | + | 14.0378i | 0.846730 | + | 0.496933i | ||||
\(799\) | 25.1955 | + | 11.5064i | 0.891354 | + | 0.407068i | ||||
\(800\) | −1.74989 | + | 5.95957i | −0.0618679 | + | 0.210703i | ||||
\(801\) | 32.5068 | + | 31.8914i | 1.14857 | + | 1.12683i | ||||
\(802\) | −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 | ||||||||
\(807\) | −5.99547 | + | 14.6723i | −0.211051 | + | 0.516488i | ||||
\(808\) | −1.90647 | − | 13.2598i | −0.0670694 | − | 0.466478i | ||||
\(809\) | −32.3825 | + | 14.7886i | −1.13851 | + | 0.519939i | −0.893269 | − | 0.449523i | \(-0.851594\pi\) |
−0.245239 | + | 0.969463i | \(0.578867\pi\) | |||||||
\(810\) | −13.0401 | − | 27.1673i | −0.458181 | − | 0.954561i | ||||
\(811\) | −3.11653 | + | 6.82424i | −0.109436 | + | 0.239631i | −0.956424 | − | 0.291980i | \(-0.905686\pi\) |
0.846988 | + | 0.531611i | \(0.178413\pi\) | |||||||
\(812\) | −9.55590 | + | 11.0281i | −0.335346 | + | 0.387010i | ||||
\(813\) | −1.87390 | − | 46.2686i | −0.0657206 | − | 1.62271i | ||||
\(814\) | 1.54313 | − | 0.453104i | 0.0540867 | − | 0.0158813i | ||||
\(815\) | −2.18248 | − | 2.51872i | −0.0764489 | − | 0.0882268i | ||||
\(816\) | −4.43581 | + | 4.16963i | −0.155284 | + | 0.145966i | ||||
\(817\) | −32.6306 | + | 20.9704i | −1.14160 | + | 0.733662i | ||||
\(818\) | −6.35172 | + | 5.50380i | −0.222083 | + | 0.192436i | ||||
\(819\) | 2.89603 | + | 3.79254i | 0.101195 | + | 0.132522i | ||||
\(820\) | −9.31580 | − | 1.33941i | −0.325322 | − | 0.0467742i | ||||
\(821\) | −40.4292 | − | 35.0321i | −1.41099 | − | 1.22263i | −0.940307 | − | 0.340328i | \(-0.889462\pi\) |
−0.470684 | − | 0.882302i | \(-0.655993\pi\) | |||||||
\(822\) | 17.2860 | + | 4.32410i | 0.602917 | + | 0.150820i | ||||
\(823\) | 7.35580 | + | 2.15986i | 0.256407 | + | 0.0752879i | 0.407410 | − | 0.913245i | \(-0.366432\pi\) |
−0.151003 | + | 0.988533i | \(0.548250\pi\) | |||||||
\(824\) | 0.545382 | + | 1.19422i | 0.0189993 | + | 0.0416026i | ||||
\(825\) | 0.601132 | + | 1.77772i | 0.0209287 | + | 0.0618922i | ||||
\(826\) | 13.1464 | − | 20.4562i | 0.457422 | − | 0.711762i | ||||
\(827\) | 43.2407 | 1.50363 | 0.751813 | − | 0.659377i | \(-0.229180\pi\) | ||||
0.751813 | + | 0.659377i | \(0.229180\pi\) | |||||||
\(828\) | −12.5157 | + | 7.09632i | −0.434950 | + | 0.246614i | ||||
\(829\) | −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 | ||||
\(831\) | −15.4225 | − | 45.6087i | −0.535001 | − | 1.58215i | ||||
\(832\) | 0.276265 | + | 0.604936i | 0.00957776 | + | 0.0209724i | ||||
\(833\) | 4.31479 | + | 1.26694i | 0.149498 | + | 0.0438967i | ||||
\(834\) | −4.29286 | − | 1.07386i | −0.148650 | − | 0.0371849i | ||||
\(835\) | −28.0251 | − | 24.2839i | −0.969848 | − | 0.840378i | ||||
\(836\) | 1.15593 | + | 0.166197i | 0.0399786 | + | 0.00574805i | ||||
\(837\) | −30.1248 | + | 33.3010i | −1.04127 | + | 1.15105i | ||||
\(838\) | −2.90421 | + | 2.51651i | −0.100324 | + | 0.0869314i | ||||
\(839\) | 3.24484 | − | 2.08533i | 0.112024 | − | 0.0719936i | −0.483429 | − | 0.875384i | \(-0.660609\pi\) |
0.595453 | + | 0.803390i | \(0.296973\pi\) | |||||||
\(840\) | 10.1068 | − | 9.50032i | 0.348717 | − | 0.327792i | ||||
\(841\) | 5.38455 | + | 6.21410i | 0.185674 | + | 0.214279i | ||||
\(842\) | 9.66048 | − | 2.83657i | 0.332922 | − | 0.0977547i | ||||
\(843\) | 1.41108 | + | 34.8411i | 0.0486002 | + | 1.19999i | ||||
\(844\) | 6.56241 | − | 7.57343i | 0.225888 | − | 0.260688i | ||||
\(845\) | 17.4670 | − | 38.2474i | 0.600884 | − | 1.31575i | ||||
\(846\) | 23.5640 | − | 1.91184i | 0.810148 | − | 0.0657305i | ||||
\(847\) | 23.8658 | − | 10.8991i | 0.820038 | − | 0.374499i | ||||
\(848\) | −1.68185 | − | 11.6975i | −0.0577550 | − | 0.401695i | ||||
\(849\) | −6.90320 | + | 16.8937i | −0.236917 | + | 0.579790i | ||||
\(850\) | 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 | 0.992559 | − | 0.121766i | \(-0.0388557\pi\) |
0.301562 | + | 0.953447i | \(0.402492\pi\) | |||||||
\(854\) | 1.48226 | − | 0.213117i | 0.0507219 | − | 0.00729271i | ||||
\(855\) | −47.0952 | + | 48.0041i | −1.61062 | + | 1.64170i | ||||
\(856\) | −0.585458 | + | 1.99389i | −0.0200106 | + | 0.0681497i | ||||
\(857\) | −11.3382 | − | 5.17799i | −0.387306 | − | 0.176877i | 0.212239 | − | 0.977218i | \(-0.431925\pi\) |
−0.599545 | + | 0.800341i | \(0.704652\pi\) | |||||||
\(858\) | 0.173290 | + | 0.101701i | 0.00591601 | + | 0.00347202i | ||||
\(859\) | −7.66120 | + | 53.2848i | −0.261397 | + | 1.81806i | 0.260984 | + | 0.965343i | \(0.415953\pi\) |
−0.522381 | + | 0.852712i | \(0.674956\pi\) | |||||||
\(860\) | 5.46544 | + | 18.6136i | 0.186370 | + | 0.634718i | ||||
\(861\) | 9.10165 | + | 7.26311i | 0.310183 | + | 0.247526i | ||||
\(862\) | −0.479949 | − | 0.746816i | −0.0163471 | − | 0.0254366i | ||||
\(863\) | 15.1208 | + | 23.5285i | 0.514719 | + | 0.800919i | 0.997184 | − | 0.0749969i | \(-0.0238947\pi\) |
−0.482465 | + | 0.875915i | \(0.660258\pi\) | |||||||
\(864\) | −1.57010 | + | 4.95326i | −0.0534159 | + | 0.168513i | ||||
\(865\) | −2.28337 | − | 7.77644i | −0.0776368 | − | 0.264407i | ||||
\(866\) | −1.95055 | + | 13.5664i | −0.0662823 | + | 0.461004i | ||||
\(867\) | 4.07303 | − | 6.94009i | 0.138327 | − | 0.235698i | ||||
\(868\) | −18.8018 | − | 8.58649i | −0.638174 | − | 0.291444i | ||||
\(869\) | 0.255757 | − | 0.871030i | 0.00867598 | − | 0.0295477i | ||||
\(870\) | −20.3181 | − | 28.9672i | −0.688848 | − | 0.982079i | ||||
\(871\) | 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 | ||||||
\(876\) | 9.75116 | + | 3.98458i | 0.329461 | + | 0.134627i | ||||
\(877\) | 0.183098 | + | 1.27348i | 0.00618280 | + | 0.0430023i | 0.992679 | − | 0.120780i | \(-0.0385396\pi\) |
−0.986496 | + | 0.163782i | \(0.947631\pi\) | |||||||
\(878\) | 24.0938 | − | 11.0033i | 0.813125 | − | 0.371342i | ||||
\(879\) | −2.59785 | − | 0.266747i | −0.0876234 | − | 0.00899716i | ||||
\(880\) | 0.242631 | − | 0.531287i | 0.00817908 | − | 0.0179097i | ||||
\(881\) | 27.3633 | − | 31.5789i | 0.921892 | − | 1.06392i | −0.0758739 | − | 0.997117i | \(-0.524175\pi\) |
0.997766 | − | 0.0668030i | \(-0.0212799\pi\) | |||||||
\(882\) | 3.74257 | − | 0.851685i | 0.126019 | − | 0.0286777i | ||||
\(883\) | −44.5467 | + | 13.0801i | −1.49912 | + | 0.440180i | −0.925437 | − | 0.378901i | \(-0.876302\pi\) |
−0.573678 | + | 0.819081i | \(0.694484\pi\) | |||||||
\(884\) | 1.53073 | + | 1.76655i | 0.0514839 | + | 0.0594156i | ||||
\(885\) | 40.3828 | + | 42.9607i | 1.35745 | + | 1.44411i | ||||
\(886\) | −2.81821 | + | 1.81115i | −0.0946796 | + | 0.0608469i | ||||
\(887\) | 2.25405 | − | 1.95314i | 0.0756835 | − | 0.0655801i | −0.616198 | − | 0.787592i | \(-0.711328\pi\) |
0.691881 | + | 0.722012i | \(0.256782\pi\) | |||||||
\(888\) | 14.2457 | − | 7.21624i | 0.478056 | − | 0.242161i | ||||
\(889\) | −51.2183 | − | 7.36408i | −1.71781 | − | 0.246983i | ||||
\(890\) | −38.4114 | − | 33.2837i | −1.28755 | − | 1.11567i | ||||
\(891\) | 0.471010 | + | 1.49761i | 0.0157794 | + | 0.0501718i | ||||
\(892\) | −4.42789 | − | 1.30015i | −0.148257 | − | 0.0435321i | ||||
\(893\) | −21.9165 | − | 47.9903i | −0.733406 | − | 1.60594i | ||||
\(894\) | −29.8916 | + | 10.1078i | −0.999723 | + | 0.338055i | ||||
\(895\) | −22.9128 | + | 35.6530i | −0.765889 | + | 1.19175i | ||||
\(896\) | −2.39177 | −0.0799036 | ||||||||
\(897\) | 2.52799 | + | 4.91181i | 0.0844071 | + | 0.164001i | ||||
\(898\) | 32.7670 | 1.09345 | ||||||||
\(899\) | −28.5052 | + | 44.3550i | −0.950702 | + | 1.47932i | ||||
\(900\) | 9.08597 | + | 16.2681i | 0.302866 | + | 0.542272i | ||||
\(901\) | −17.2554 | − | 37.7840i | −0.574860 | − | 1.25877i | ||||
\(902\) | 0.470455 | + | 0.138138i | 0.0156644 | + | 0.00459949i | ||||
\(903\) | 5.82460 | − | 23.2843i | 0.193831 | − | 0.774854i | ||||
\(904\) | −7.86536 | − | 6.81537i | −0.261598 | − | 0.226676i | ||||
\(905\) | −30.6605 | − | 4.40832i | −1.01919 | − | 0.146537i | ||||
\(906\) | −5.55692 | − | 10.9700i | −0.184616 | − | 0.364455i | ||||
\(907\) | −3.54906 | + | 3.07528i | −0.117845 | + | 0.102113i | −0.711790 | − | 0.702393i | \(-0.752115\pi\) |
0.593945 | + | 0.804506i | \(0.297570\pi\) | |||||||
\(908\) | 3.37996 | − | 2.17217i | 0.112168 | − | 0.0720860i | ||||
\(909\) | −32.4012 | − | 23.7755i | −1.07468 | − | 0.788582i | ||||
\(910\) | −3.48769 | − | 4.02501i | −0.115616 | − | 0.133428i | ||||
\(911\) | 21.8033 | − | 6.40202i | 0.722375 | − | 0.212108i | 0.100178 | − | 0.994970i | \(-0.468059\pi\) |
0.622196 | + | 0.782861i | \(0.286240\pi\) | |||||||
\(912\) | 11.5862 | − | 0.469245i | 0.383656 | − | 0.0155383i | ||||
\(913\) | 1.35807 | − | 1.56729i | 0.0449455 | − | 0.0518699i | ||||
\(914\) | −9.08484 | + | 19.8930i | −0.300500 | + | 0.658002i | ||||
\(915\) | −0.370887 | + | 3.61207i | −0.0122611 | + | 0.119411i | ||||
\(916\) | −5.88883 | + | 2.68934i | −0.194572 | + | 0.0888582i | ||||
\(917\) | 3.46376 | + | 24.0909i | 0.114383 | + | 0.795553i | ||||
\(918\) | −0.390166 | + | 18.2594i | −0.0128774 | + | 0.602651i | ||||
\(919\) | 6.89830i | 0.227554i | 0.993506 | + | 0.113777i | \(0.0362949\pi\) | ||||
−0.993506 | + | 0.113777i | \(0.963705\pi\) | |||||||
\(920\) | 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 | ||||
\(924\) | −0.591611 | + | 0.414967i | −0.0194626 | + | 0.0136514i | ||||
\(925\) | 16.1337 | − | 54.9462i | 0.530471 | − | 1.80662i | ||||
\(926\) | 11.9997 | + | 5.48008i | 0.394334 | + | 0.180087i | ||||
\(927\) | 3.70324 | + | 1.34106i | 0.121630 | + | 0.0440463i | ||||
\(928\) | −0.868266 | + | 6.03892i | −0.0285022 | + | 0.198237i | ||||
\(929\) | 4.60284 | + | 15.6758i | 0.151014 | + | 0.514307i | 0.999898 | − | 0.0142720i | \(-0.00454308\pi\) |
−0.848884 | + | 0.528579i | \(0.822725\pi\) | |||||||
\(930\) | 31.2611 | − | 39.1743i | 1.02509 | − | 1.28458i | ||||
\(931\) | −4.63081 | − | 7.20568i | −0.151769 | − | 0.236156i | ||||
\(932\) | −11.2684 | − | 17.5339i | −0.369107 | − | 0.574342i | ||||
\(933\) | 5.18970 | − | 6.50338i | 0.169903 | − | 0.212911i | ||||
\(934\) | −6.61780 | − | 22.5381i | −0.216541 | − | 0.737471i | ||||
\(935\) | 0.292159 | − | 2.03201i | 0.00955461 | − | 0.0664538i | ||||
\(936\) | 1.87589 | + | 0.679320i | 0.0613153 | + | 0.0222043i | ||||
\(937\) | 36.9123 | + | 16.8573i | 1.20587 | + | 0.550703i | 0.913984 | − | 0.405749i | \(-0.132989\pi\) |
0.291888 | + | 0.956453i | \(0.405717\pi\) | |||||||
\(938\) | −5.04032 | + | 17.1657i | −0.164572 | + | 0.560481i | ||||
\(939\) | −17.9291 | + | 12.5758i | −0.585095 | + | 0.410396i | ||||
\(940\) | −26.1177 | + | 3.75516i | −0.851866 | + | 0.122480i | ||||
\(941\) | −2.89516 | − | 1.86061i | −0.0943795 | − | 0.0606540i | 0.492600 | − | 0.870256i | \(-0.336047\pi\) |
−0.586979 | + | 0.809602i | \(0.699683\pi\) | |||||||
\(942\) | −2.92858 | + | 0.542837i | −0.0954184 | + | 0.0176866i | ||||
\(943\) | 8.89320 | + | 10.1307i | 0.289603 | + | 0.329901i | ||||
\(944\) | − | 10.1667i | − | 0.330896i | ||||||
\(945\) | 0.888976 | − | 41.6033i | 0.0289184 | − | 1.35336i | ||||
\(946\) | −0.143831 | − | 1.00036i | −0.00467634 | − | 0.0325246i | ||||
\(947\) | 5.48974 | − | 2.50708i | 0.178393 | − | 0.0814692i | −0.324217 | − | 0.945983i | \(-0.605101\pi\) |
0.502609 | + | 0.864514i | \(0.332373\pi\) | |||||||
\(948\) | 0.920708 | − | 8.96677i | 0.0299032 | − | 0.291227i | ||||
\(949\) | 1.68017 | − | 3.67905i | 0.0545405 | − | 0.119427i | ||||
\(950\) | 27.2306 | − | 31.4258i | 0.883478 | − | 1.01959i | ||||
\(951\) | 8.61408 | − | 0.348874i | 0.279331 | − | 0.0113130i | ||||
\(952\) | −8.06616 | + | 2.36844i | −0.261426 | + | 0.0767615i | ||||
\(953\) | −13.7021 | − | 15.8131i | −0.443855 | − | 0.512236i | 0.489101 | − | 0.872227i | \(-0.337325\pi\) |
−0.932956 | + | 0.359991i | \(0.882780\pi\) | |||||||
\(954\) | −28.5837 | − | 20.9743i | −0.925431 | − | 0.679066i | ||||
\(955\) | 4.14313 | − | 2.66263i | 0.134069 | − | 0.0861607i | ||||
\(956\) | 6.84293 | − | 5.92943i | 0.221316 | − | 0.191771i | ||||
\(957\) | 0.832970 | + | 1.64438i | 0.0269261 | + | 0.0531554i | ||||
\(958\) | −14.5809 | − | 2.09642i | −0.471089 | − | 0.0677324i | ||||
\(959\) | 18.5956 | + | 16.1132i | 0.600484 | + | 0.520322i | ||||
\(960\) | 1.40737 | − | 5.62608i | 0.0454227 | − | 0.181581i | ||||
\(961\) | −41.9143 | − | 12.3072i | −1.35207 | − | 0.397005i | ||||
\(962\) | −2.54711 | − | 5.57740i | −0.0821222 | − | 0.179823i | ||||
\(963\) | 3.03988 | + | 5.44282i | 0.0979589 | + | 0.175392i | ||||
\(964\) | 2.19681 | − | 3.41830i | 0.0707543 | − | 0.110096i | ||||
\(965\) | 20.5333 | 0.660989 | ||||||||
\(966\) | −19.8457 | + | 0.931845i | −0.638525 | + | 0.0299816i | ||||
\(967\) | −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 | ||||
\(969\) | 38.6092 | − | 13.0556i | 1.24031 | − | 0.419407i | ||||
\(970\) | 5.45345 | + | 11.9414i | 0.175100 | + | 0.383415i | ||||
\(971\) | −29.4740 | − | 8.65436i | −0.945867 | − | 0.277731i | −0.227802 | − | 0.973708i | \(-0.573154\pi\) |
−0.718065 | + | 0.695976i | \(0.754972\pi\) | |||||||
\(972\) | 7.30869 | + | 13.7689i | 0.234426 | + | 0.441638i | ||||
\(973\) | −4.61811 | − | 4.00162i | −0.148050 | − | 0.128286i | ||||
\(974\) | 24.7392 | + | 3.55696i | 0.792695 | + | 0.113972i | ||||
\(975\) | 6.38233 | − | 3.23300i | 0.204398 | − | 0.103539i | ||||
\(976\) | 0.473179 | − | 0.410012i | 0.0151461 | − | 0.0131242i | ||||
\(977\) | −17.3948 | + | 11.1790i | −0.556509 | + | 0.357646i | −0.788465 | − | 0.615080i | \(-0.789124\pi\) |
0.231956 | + | 0.972726i | \(0.425487\pi\) | |||||||
\(978\) | 1.18078 | + | 1.25616i | 0.0377571 | + | 0.0401674i | ||||
\(979\) | 1.73398 | + | 2.00112i | 0.0554183 | + | 0.0639561i | ||||
\(980\) | −4.11036 | + | 1.20691i | −0.131301 | + | 0.0385533i | ||||
\(981\) | −8.50529 | + | 1.93552i | −0.271553 | + | 0.0617965i | ||||
\(982\) | 6.13967 | − | 7.08555i | 0.195925 | − | 0.226109i | ||||
\(983\) | −8.30399 | + | 18.1832i | −0.264856 | + | 0.579954i | −0.994602 | − | 0.103764i | \(-0.966911\pi\) |
0.729746 | + | 0.683719i | \(0.239638\pi\) | |||||||
\(984\) | 4.84307 | + | 0.497286i | 0.154391 | + | 0.0158529i | ||||
\(985\) | 66.4118 | − | 30.3292i | 2.11605 | − | 0.966370i | ||||
\(986\) | 3.05181 | + | 21.2258i | 0.0971894 | + | 0.675967i | ||||
\(987\) | 30.2206 | + | 12.3489i | 0.961931 | + | 0.393071i | ||||
\(988\) | − | 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 | 0.117047 | − | 0.993126i | \(-0.462657\pi\) |
−0.854756 | + | 0.519030i | \(0.826293\pi\) | |||||||
\(992\) | −8.55402 | + | 1.22988i | −0.271590 | + | 0.0390488i | ||||
\(993\) | 7.94505 | + | 11.3271i | 0.252129 | + | 0.359455i | ||||
\(994\) | −2.65276 | + | 9.03448i | −0.0841405 | + | 0.286556i | ||||
\(995\) | −1.30027 | − | 0.593812i | −0.0412212 | − | 0.0188251i | ||||
\(996\) | 10.4227 | − | 17.7593i | 0.330254 | − | 0.562724i | ||||
\(997\) | −2.53038 | + | 17.5992i | −0.0801380 | + | 0.557372i | 0.909710 | + | 0.415244i | \(0.136304\pi\) |
−0.989848 | + | 0.142128i | \(0.954605\pi\) | |||||||
\(998\) | −2.67045 | − | 9.09473i | −0.0845318 | − | 0.287889i | ||||
\(999\) | 14.4760 | − | 45.6682i | 0.458002 | − | 1.44488i |
(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.113.7 | yes | 80 | |
3.2 | odd | 2 | inner | 138.2.f.a.113.2 | yes | 80 | |
23.11 | odd | 22 | inner | 138.2.f.a.11.2 | ✓ | 80 | |
69.11 | even | 22 | inner | 138.2.f.a.11.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.f.a.11.2 | ✓ | 80 | 23.11 | odd | 22 | inner | |
138.2.f.a.11.7 | yes | 80 | 69.11 | even | 22 | inner | |
138.2.f.a.113.2 | yes | 80 | 3.2 | odd | 2 | inner | |
138.2.f.a.113.7 | yes | 80 | 1.1 | even | 1 | trivial |