Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(11,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.bs (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(140\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 756.11 |
Dual form | 756.2.bs.a.275.4 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41190 | + | 0.0808315i | −0.998365 | + | 0.0571565i | ||||
\(3\) | −1.10309 | + | 1.33536i | −0.636868 | + | 0.770973i | ||||
\(4\) | 1.98693 | − | 0.228252i | 0.993466 | − | 0.114126i | ||||
\(5\) | −1.49610 | + | 0.263803i | −0.669077 | + | 0.117976i | −0.497860 | − | 0.867257i | \(-0.665881\pi\) |
−0.171216 | + | 0.985233i | \(0.554770\pi\) | |||||||
\(6\) | 1.44951 | − | 1.97457i | 0.591761 | − | 0.806114i | ||||
\(7\) | −1.99141 | + | 1.74193i | −0.752681 | + | 0.658386i | ||||
\(8\) | −2.78690 | + | 0.482877i | −0.985319 | + | 0.170723i | ||||
\(9\) | −0.566395 | − | 2.94605i | −0.188798 | − | 0.982016i | ||||
\(10\) | 2.09102 | − | 0.493396i | 0.661240 | − | 0.156026i | ||||
\(11\) | −1.04808 | + | 5.94396i | −0.316008 | + | 1.79217i | 0.250503 | + | 0.968116i | \(0.419404\pi\) |
−0.566511 | + | 0.824054i | \(0.691707\pi\) | |||||||
\(12\) | −1.88696 | + | 2.90506i | −0.544719 | + | 0.838619i | ||||
\(13\) | −0.211142 | + | 0.177169i | −0.0585603 | + | 0.0491379i | −0.671598 | − | 0.740916i | \(-0.734392\pi\) |
0.613038 | + | 0.790054i | \(0.289947\pi\) | |||||||
\(14\) | 2.67087 | − | 2.62040i | 0.713819 | − | 0.700330i | ||||
\(15\) | 1.29806 | − | 2.28884i | 0.335157 | − | 0.590975i | ||||
\(16\) | 3.89580 | − | 0.907044i | 0.973950 | − | 0.226761i | ||||
\(17\) | 2.12748i | 0.515990i | 0.966146 | + | 0.257995i | \(0.0830617\pi\) | ||||
−0.966146 | + | 0.257995i | \(0.916938\pi\) | |||||||
\(18\) | 1.03783 | + | 4.11375i | 0.244618 | + | 0.969619i | ||||
\(19\) | − | 6.34917i | − | 1.45660i | −0.685258 | − | 0.728300i | \(-0.740311\pi\) | ||
0.685258 | − | 0.728300i | \(-0.259689\pi\) | |||||||
\(20\) | −2.91244 | + | 0.865647i | −0.651241 | + | 0.193565i | ||||
\(21\) | −0.129409 | − | 4.58075i | −0.0282394 | − | 0.999601i | ||||
\(22\) | 0.999327 | − | 8.47700i | 0.213057 | − | 1.80730i | ||||
\(23\) | −2.78860 | + | 2.33991i | −0.581463 | + | 0.487905i | −0.885427 | − | 0.464778i | \(-0.846134\pi\) |
0.303964 | + | 0.952683i | \(0.401690\pi\) | |||||||
\(24\) | 2.42938 | − | 4.25419i | 0.495896 | − | 0.868382i | ||||
\(25\) | −2.52974 | + | 0.920749i | −0.505947 | + | 0.184150i | ||||
\(26\) | 0.283791 | − | 0.267212i | 0.0556560 | − | 0.0524047i | ||||
\(27\) | 4.55883 | + | 2.49341i | 0.877347 | + | 0.479856i | ||||
\(28\) | −3.55919 | + | 3.91563i | −0.672624 | + | 0.739985i | ||||
\(29\) | 0.496300 | − | 0.591467i | 0.0921606 | − | 0.109833i | −0.717993 | − | 0.696050i | \(-0.754939\pi\) |
0.810154 | + | 0.586217i | \(0.199384\pi\) | |||||||
\(30\) | −1.64772 | + | 3.33654i | −0.300831 | + | 0.609166i | ||||
\(31\) | −0.646477 | + | 1.77618i | −0.116111 | + | 0.319012i | −0.984112 | − | 0.177551i | \(-0.943182\pi\) |
0.868001 | + | 0.496563i | \(0.165405\pi\) | |||||||
\(32\) | −5.42717 | + | 1.59556i | −0.959397 | + | 0.282058i | ||||
\(33\) | −6.78122 | − | 7.95627i | −1.18046 | − | 1.38501i | ||||
\(34\) | −0.171967 | − | 3.00379i | −0.0294922 | − | 0.515146i | ||||
\(35\) | 2.51982 | − | 3.13143i | 0.425927 | − | 0.529309i | ||||
\(36\) | −1.79783 | − | 5.72432i | −0.299638 | − | 0.954053i | ||||
\(37\) | 3.04075 | − | 5.26673i | 0.499896 | − | 0.865845i | −0.500104 | − | 0.865965i | \(-0.666705\pi\) |
1.00000 | 0.000120283i | \(3.82874e-5\pi\) | ||||||||
\(38\) | 0.513214 | + | 8.96441i | 0.0832542 | + | 1.45422i | ||||
\(39\) | −0.00367722 | − | 0.477385i | −0.000588826 | − | 0.0764427i | ||||
\(40\) | 4.04210 | − | 1.45763i | 0.639113 | − | 0.230471i | ||||
\(41\) | −3.20017 | − | 3.81381i | −0.499783 | − | 0.595618i | 0.455895 | − | 0.890034i | \(-0.349319\pi\) |
−0.955677 | + | 0.294416i | \(0.904875\pi\) | |||||||
\(42\) | 0.552982 | + | 6.45711i | 0.0853270 | + | 0.996353i | ||||
\(43\) | 2.37269 | + | 6.51892i | 0.361832 | + | 0.994125i | 0.978381 | + | 0.206809i | \(0.0663079\pi\) |
−0.616549 | + | 0.787316i | \(0.711470\pi\) | |||||||
\(44\) | −0.725742 | + | 12.0495i | −0.109410 | + | 1.81653i | ||||
\(45\) | 1.62456 | + | 4.25817i | 0.242175 | + | 0.634770i | ||||
\(46\) | 3.74809 | − | 3.52913i | 0.552625 | − | 0.520342i | ||||
\(47\) | 5.76043 | − | 2.09662i | 0.840245 | − | 0.305824i | 0.114188 | − | 0.993459i | \(-0.463573\pi\) |
0.726056 | + | 0.687635i | \(0.241351\pi\) | |||||||
\(48\) | −3.08618 | + | 6.20286i | −0.445451 | + | 0.895306i | ||||
\(49\) | 0.931394 | − | 6.93776i | 0.133056 | − | 0.991108i | ||||
\(50\) | 3.49731 | − | 1.50449i | 0.494595 | − | 0.212767i | ||||
\(51\) | −2.84096 | − | 2.34680i | −0.397814 | − | 0.328617i | ||||
\(52\) | −0.379086 | + | 0.400217i | −0.0525697 | + | 0.0555001i | ||||
\(53\) | −9.98204 | − | 5.76314i | −1.37114 | − | 0.791628i | −0.380068 | − | 0.924959i | \(-0.624099\pi\) |
−0.991072 | + | 0.133331i | \(0.957433\pi\) | |||||||
\(54\) | −6.63817 | − | 3.15195i | −0.903340 | − | 0.428926i | ||||
\(55\) | − | 9.16925i | − | 1.23638i | ||||||
\(56\) | 4.70872 | − | 5.81618i | 0.629229 | − | 0.777220i | ||||
\(57\) | 8.47846 | + | 7.00370i | 1.12300 | + | 0.927662i | ||||
\(58\) | −0.652918 | + | 0.875211i | −0.0857323 | + | 0.114921i | ||||
\(59\) | 4.54972 | − | 3.81767i | 0.592323 | − | 0.497018i | −0.296645 | − | 0.954988i | \(-0.595868\pi\) |
0.888968 | + | 0.457970i | \(0.151423\pi\) | |||||||
\(60\) | 2.05672 | − | 4.84405i | 0.265521 | − | 0.625364i | ||||
\(61\) | 8.93558 | − | 3.25229i | 1.14408 | − | 0.416413i | 0.300697 | − | 0.953720i | \(-0.402781\pi\) |
0.843387 | + | 0.537307i | \(0.180558\pi\) | |||||||
\(62\) | 0.769191 | − | 2.56005i | 0.0976873 | − | 0.325127i | ||||
\(63\) | 6.25972 | + | 4.88016i | 0.788650 | + | 0.614842i | ||||
\(64\) | 7.53366 | − | 2.69146i | 0.941708 | − | 0.336433i | ||||
\(65\) | 0.269152 | − | 0.320763i | 0.0333842 | − | 0.0397857i | ||||
\(66\) | 10.2175 | + | 10.6853i | 1.25769 | + | 1.31527i | ||||
\(67\) | 3.93132 | − | 0.693198i | 0.480287 | − | 0.0846876i | 0.0717372 | − | 0.997424i | \(-0.477146\pi\) |
0.408550 | + | 0.912736i | \(0.366035\pi\) | |||||||
\(68\) | 0.485602 | + | 4.22716i | 0.0588879 | + | 0.512618i | ||||
\(69\) | −0.0485658 | − | 6.30492i | −0.00584663 | − | 0.759023i | ||||
\(70\) | −3.30462 | + | 4.62496i | −0.394977 | + | 0.552788i | ||||
\(71\) | −5.73702 | − | 9.93680i | −0.680858 | − | 1.17928i | −0.974719 | − | 0.223433i | \(-0.928274\pi\) |
0.293861 | − | 0.955848i | \(-0.405060\pi\) | |||||||
\(72\) | 3.00107 | + | 7.93685i | 0.353679 | + | 0.935367i | ||||
\(73\) | −0.548427 | − | 0.949903i | −0.0641885 | − | 0.111178i | 0.832145 | − | 0.554558i | \(-0.187113\pi\) |
−0.896334 | + | 0.443380i | \(0.853779\pi\) | |||||||
\(74\) | −3.86752 | + | 7.68189i | −0.449590 | + | 0.893002i | ||||
\(75\) | 1.56099 | − | 4.39379i | 0.180247 | − | 0.507351i | ||||
\(76\) | −1.44921 | − | 12.6154i | −0.166236 | − | 1.44708i | ||||
\(77\) | −8.26677 | − | 13.6625i | −0.942086 | − | 1.55699i | ||||
\(78\) | 0.0437796 | + | 0.673723i | 0.00495706 | + | 0.0762841i | ||||
\(79\) | −5.53708 | − | 0.976336i | −0.622970 | − | 0.109846i | −0.146751 | − | 0.989173i | \(-0.546882\pi\) |
−0.476218 | + | 0.879327i | \(0.657993\pi\) | |||||||
\(80\) | −5.58923 | + | 2.38475i | −0.624895 | + | 0.266624i | ||||
\(81\) | −8.35839 | + | 3.33725i | −0.928710 | + | 0.370806i | ||||
\(82\) | 4.82660 | + | 5.12606i | 0.533009 | + | 0.566078i | ||||
\(83\) | −6.80258 | − | 5.70804i | −0.746680 | − | 0.626539i | 0.187942 | − | 0.982180i | \(-0.439818\pi\) |
−0.934623 | + | 0.355641i | \(0.884263\pi\) | |||||||
\(84\) | −1.30269 | − | 9.07210i | −0.142136 | − | 0.989847i | ||||
\(85\) | −0.561235 | − | 3.18292i | −0.0608745 | − | 0.345237i | ||||
\(86\) | −3.87694 | − | 9.01228i | −0.418061 | − | 0.971819i | ||||
\(87\) | 0.242362 | + | 1.31518i | 0.0259839 | + | 0.141002i | ||||
\(88\) | 0.0506992 | − | 17.0713i | 0.00540455 | − | 1.81981i | ||||
\(89\) | 4.65958i | 0.493914i | 0.969026 | + | 0.246957i | \(0.0794307\pi\) | ||||
−0.969026 | + | 0.246957i | \(0.920569\pi\) | |||||||
\(90\) | −2.63791 | − | 5.88080i | −0.278060 | − | 0.619891i | ||||
\(91\) | 0.111854 | − | 0.720609i | 0.0117255 | − | 0.0755404i | ||||
\(92\) | −5.00666 | + | 5.28575i | −0.521981 | + | 0.551077i | ||||
\(93\) | −1.65873 | − | 2.82257i | −0.172002 | − | 0.292686i | ||||
\(94\) | −7.96368 | + | 3.42585i | −0.821391 | + | 0.353350i | ||||
\(95\) | 1.67493 | + | 9.49901i | 0.171844 | + | 0.974578i | ||||
\(96\) | 3.85599 | − | 9.00729i | 0.393550 | − | 0.919303i | ||||
\(97\) | 2.18609 | − | 0.795673i | 0.221964 | − | 0.0807884i | −0.228644 | − | 0.973510i | \(-0.573429\pi\) |
0.450609 | + | 0.892722i | \(0.351207\pi\) | |||||||
\(98\) | −0.754246 | + | 9.87072i | −0.0761904 | + | 0.997093i | ||||
\(99\) | 18.1048 | − | 0.278933i | 1.81960 | − | 0.0280339i | ||||
\(100\) | −4.81625 | + | 2.40688i | −0.481625 | + | 0.240688i | ||||
\(101\) | 12.6414 | − | 15.0654i | 1.25786 | − | 1.49906i | 0.470733 | − | 0.882276i | \(-0.343989\pi\) |
0.787130 | − | 0.616787i | \(-0.211566\pi\) | |||||||
\(102\) | 4.20085 | + | 3.08381i | 0.415946 | + | 0.305342i | ||||
\(103\) | −11.7336 | + | 2.06894i | −1.15614 | + | 0.203859i | −0.718656 | − | 0.695366i | \(-0.755242\pi\) |
−0.437487 | + | 0.899225i | \(0.644131\pi\) | |||||||
\(104\) | 0.502882 | − | 0.595709i | 0.0493116 | − | 0.0584141i | ||||
\(105\) | 1.40202 | + | 6.81912i | 0.136824 | + | 0.665478i | ||||
\(106\) | 14.5595 | + | 7.33012i | 1.41414 | + | 0.711964i | ||||
\(107\) | 3.10499 | + | 5.37800i | 0.300171 | + | 0.519911i | 0.976174 | − | 0.216987i | \(-0.0696230\pi\) |
−0.676004 | + | 0.736898i | \(0.736290\pi\) | |||||||
\(108\) | 9.62721 | + | 3.91366i | 0.926379 | + | 0.376593i | ||||
\(109\) | 0.0691261 | − | 0.119730i | 0.00662108 | − | 0.0114680i | −0.862696 | − | 0.505723i | \(-0.831226\pi\) |
0.869317 | + | 0.494255i | \(0.164559\pi\) | |||||||
\(110\) | 0.741164 | + | 12.9461i | 0.0706672 | + | 1.23436i | ||||
\(111\) | 3.67879 | + | 9.87017i | 0.349175 | + | 0.936835i | ||||
\(112\) | −6.17812 | + | 8.59249i | −0.583777 | + | 0.811914i | ||||
\(113\) | −1.27300 | + | 3.49753i | −0.119753 | + | 0.329020i | −0.985057 | − | 0.172228i | \(-0.944903\pi\) |
0.865304 | + | 0.501248i | \(0.167126\pi\) | |||||||
\(114\) | −12.5369 | − | 9.20320i | −1.17419 | − | 0.861959i | ||||
\(115\) | 3.55475 | − | 4.23638i | 0.331482 | − | 0.395045i | ||||
\(116\) | 0.851111 | − | 1.28849i | 0.0790237 | − | 0.119633i | ||||
\(117\) | 0.641539 | + | 0.521687i | 0.0593103 | + | 0.0482300i | ||||
\(118\) | −6.11517 | + | 5.75793i | −0.562947 | + | 0.530060i | ||||
\(119\) | −3.70591 | − | 4.23667i | −0.339720 | − | 0.388375i | ||||
\(120\) | −2.51233 | + | 7.00557i | −0.229344 | + | 0.639518i | ||||
\(121\) | −23.8955 | − | 8.69726i | −2.17232 | − | 0.790660i | ||||
\(122\) | −12.3533 | + | 5.31419i | −1.11841 | + | 0.481124i | ||||
\(123\) | 8.62290 | − | 0.0664208i | 0.777501 | − | 0.00598896i | ||||
\(124\) | −0.879089 | + | 3.67671i | −0.0789445 | + | 0.330178i | ||||
\(125\) | 10.1201 | − | 5.84284i | 0.905168 | − | 0.522599i | ||||
\(126\) | −9.23257 | − | 6.38432i | −0.822503 | − | 0.568761i | ||||
\(127\) | 4.81675 | + | 2.78095i | 0.427417 | + | 0.246770i | 0.698246 | − | 0.715858i | \(-0.253964\pi\) |
−0.270828 | + | 0.962628i | \(0.587298\pi\) | |||||||
\(128\) | −10.4192 | + | 4.40904i | −0.920939 | + | 0.389707i | ||||
\(129\) | −11.3224 | − | 4.02253i | −0.996883 | − | 0.354164i | ||||
\(130\) | −0.354088 | + | 0.474642i | −0.0310556 | + | 0.0416288i | ||||
\(131\) | 8.71100 | − | 7.30940i | 0.761084 | − | 0.638625i | −0.177325 | − | 0.984152i | \(-0.556744\pi\) |
0.938409 | + | 0.345527i | \(0.112300\pi\) | |||||||
\(132\) | −15.2899 | − | 14.2607i | −1.33081 | − | 1.24124i | ||||
\(133\) | 11.0598 | + | 12.6438i | 0.959005 | + | 1.09636i | ||||
\(134\) | −5.49460 | + | 1.29650i | −0.474661 | + | 0.112001i | ||||
\(135\) | −7.47824 | − | 2.52775i | −0.643624 | − | 0.217554i | ||||
\(136\) | −1.02731 | − | 5.92908i | −0.0880911 | − | 0.508414i | ||||
\(137\) | 6.83035 | + | 18.7662i | 0.583556 | + | 1.60331i | 0.782057 | + | 0.623207i | \(0.214171\pi\) |
−0.198500 | + | 0.980101i | \(0.563607\pi\) | |||||||
\(138\) | 0.578206 | + | 8.89800i | 0.0492202 | + | 0.757448i | ||||
\(139\) | −3.80944 | + | 0.671707i | −0.323113 | + | 0.0569735i | −0.332852 | − | 0.942979i | \(-0.608011\pi\) |
0.00973936 | + | 0.999953i | \(0.496900\pi\) | |||||||
\(140\) | 4.29195 | − | 6.79710i | 0.362736 | − | 0.574460i | ||||
\(141\) | −3.55450 | + | 10.0050i | −0.299343 | + | 0.842575i | ||||
\(142\) | 8.90331 | + | 13.5661i | 0.747149 | + | 1.13844i | ||||
\(143\) | −0.831792 | − | 1.44071i | −0.0695580 | − | 0.120478i | ||||
\(144\) | −4.87876 | − | 10.9635i | −0.406563 | − | 0.913623i | ||||
\(145\) | −0.586484 | + | 1.01582i | −0.0487049 | + | 0.0843593i | ||||
\(146\) | 0.851107 | + | 1.29684i | 0.0704381 | + | 0.107327i | ||||
\(147\) | 8.23703 | + | 8.89671i | 0.679379 | + | 0.733788i | ||||
\(148\) | 4.83962 | − | 11.1587i | 0.397814 | − | 0.917239i | ||||
\(149\) | −5.95691 | + | 16.3665i | −0.488009 | + | 1.34079i | 0.414471 | + | 0.910063i | \(0.363967\pi\) |
−0.902480 | + | 0.430732i | \(0.858256\pi\) | |||||||
\(150\) | −1.84880 | + | 6.32977i | −0.150954 | + | 0.516824i | ||||
\(151\) | −5.11818 | − | 0.902473i | −0.416511 | − | 0.0734422i | −0.0385346 | − | 0.999257i | \(-0.512269\pi\) |
−0.377977 | + | 0.925815i | \(0.623380\pi\) | |||||||
\(152\) | 3.06587 | + | 17.6945i | 0.248675 | + | 1.43522i | ||||
\(153\) | 6.26766 | − | 1.20499i | 0.506710 | − | 0.0974179i | ||||
\(154\) | 12.7762 | + | 18.6219i | 1.02954 | + | 1.50060i | ||||
\(155\) | 0.498633 | − | 2.82789i | 0.0400512 | − | 0.227142i | ||||
\(156\) | −0.116271 | − | 0.947692i | −0.00930910 | − | 0.0758761i | ||||
\(157\) | 7.17064 | − | 6.01688i | 0.572280 | − | 0.480200i | −0.310122 | − | 0.950697i | \(-0.600370\pi\) |
0.882401 | + | 0.470497i | \(0.155925\pi\) | |||||||
\(158\) | 7.89673 | + | 0.930920i | 0.628230 | + | 0.0740600i | ||||
\(159\) | 18.7070 | − | 6.97242i | 1.48356 | − | 0.552949i | ||||
\(160\) | 7.69868 | − | 3.81882i | 0.608634 | − | 0.301905i | ||||
\(161\) | 1.47728 | − | 9.51724i | 0.116426 | − | 0.750063i | ||||
\(162\) | 11.5315 | − | 5.38749i | 0.905998 | − | 0.423282i | ||||
\(163\) | −19.3223 | + | 11.1558i | −1.51344 | + | 0.873786i | −0.513565 | + | 0.858050i | \(0.671676\pi\) |
−0.999876 | + | 0.0157355i | \(0.994991\pi\) | |||||||
\(164\) | −7.22903 | − | 6.84734i | −0.564493 | − | 0.534688i | ||||
\(165\) | 12.2443 | + | 10.1145i | 0.953216 | + | 0.787411i | ||||
\(166\) | 10.0660 | + | 7.50933i | 0.781271 | + | 0.582837i | ||||
\(167\) | −21.0048 | − | 7.64511i | −1.62540 | − | 0.591596i | −0.640997 | − | 0.767543i | \(-0.721479\pi\) |
−0.984400 | + | 0.175947i | \(0.943701\pi\) | |||||||
\(168\) | 2.57259 | + | 12.7036i | 0.198479 | + | 0.980105i | ||||
\(169\) | −2.24423 | + | 12.7277i | −0.172633 | + | 0.979053i | ||||
\(170\) | 1.04969 | + | 4.44861i | 0.0805075 | + | 0.341193i | ||||
\(171\) | −18.7050 | + | 3.59614i | −1.43040 | + | 0.275004i | ||||
\(172\) | 6.20234 | + | 12.4111i | 0.472924 | + | 0.946336i | ||||
\(173\) | 5.78178 | − | 6.89046i | 0.439581 | − | 0.523872i | −0.500080 | − | 0.865979i | \(-0.666696\pi\) |
0.939661 | + | 0.342107i | \(0.111141\pi\) | |||||||
\(174\) | −0.448499 | − | 1.83732i | −0.0340006 | − | 0.139287i | ||||
\(175\) | 3.43386 | − | 6.24020i | 0.259575 | − | 0.471715i | ||||
\(176\) | 1.30832 | + | 24.1071i | 0.0986183 | + | 1.81714i | ||||
\(177\) | 0.0792372 | + | 10.2868i | 0.00595583 | + | 0.773200i | ||||
\(178\) | −0.376641 | − | 6.57887i | −0.0282304 | − | 0.493107i | ||||
\(179\) | −11.5386 | −0.862437 | −0.431219 | − | 0.902247i | \(-0.641916\pi\) | ||||
−0.431219 | + | 0.902247i | \(0.641916\pi\) | |||||||
\(180\) | 4.19983 | + | 8.08988i | 0.313037 | + | 0.602984i | ||||
\(181\) | −6.09213 | + | 10.5519i | −0.452824 | + | 0.784314i | −0.998560 | − | 0.0536428i | \(-0.982917\pi\) |
0.545736 | + | 0.837957i | \(0.316250\pi\) | |||||||
\(182\) | −0.0996788 | + | 1.02647i | −0.00738869 | + | 0.0760871i | ||||
\(183\) | −5.51375 | + | 15.5198i | −0.407588 | + | 1.14726i | ||||
\(184\) | 6.64166 | − | 7.86765i | 0.489630 | − | 0.580011i | ||||
\(185\) | −3.15989 | + | 8.68172i | −0.232319 | + | 0.638293i | ||||
\(186\) | 2.57011 | + | 3.85111i | 0.188450 | + | 0.282377i | ||||
\(187\) | −12.6456 | − | 2.22977i | −0.924741 | − | 0.163057i | ||||
\(188\) | 10.9670 | − | 5.48068i | 0.799852 | − | 0.399720i | ||||
\(189\) | −13.4218 | + | 2.97576i | −0.976293 | + | 0.216455i | ||||
\(190\) | −3.13266 | − | 13.2763i | −0.227267 | − | 0.963162i | ||||
\(191\) | −2.12381 | + | 12.0447i | −0.153674 | + | 0.871527i | 0.806315 | + | 0.591487i | \(0.201459\pi\) |
−0.959988 | + | 0.280040i | \(0.909652\pi\) | |||||||
\(192\) | −4.71621 | + | 13.0291i | −0.340363 | + | 0.940294i | ||||
\(193\) | −4.37111 | − | 1.59095i | −0.314640 | − | 0.114519i | 0.179873 | − | 0.983690i | \(-0.442431\pi\) |
−0.494513 | + | 0.869170i | \(0.664653\pi\) | |||||||
\(194\) | −3.02223 | + | 1.30012i | −0.216984 | + | 0.0933430i | ||||
\(195\) | 0.131437 | + | 0.713246i | 0.00941240 | + | 0.0510766i | ||||
\(196\) | 0.267056 | − | 13.9975i | 0.0190754 | − | 0.999818i | ||||
\(197\) | −13.6516 | − | 7.88173i | −0.972634 | − | 0.561550i | −0.0725954 | − | 0.997361i | \(-0.523128\pi\) |
−0.900038 | + | 0.435811i | \(0.856462\pi\) | |||||||
\(198\) | −25.5397 | + | 1.85727i | −1.81502 | + | 0.131990i | ||||
\(199\) | 9.58164i | 0.679225i | 0.940565 | + | 0.339612i | \(0.110296\pi\) | ||||
−0.940565 | + | 0.339612i | \(0.889704\pi\) | |||||||
\(200\) | 6.60552 | − | 3.78759i | 0.467081 | − | 0.267823i | ||||
\(201\) | −3.41092 | + | 6.01440i | −0.240588 | + | 0.424223i | ||||
\(202\) | −16.6306 | + | 22.2927i | −1.17013 | + | 1.56851i | ||||
\(203\) | 0.0419571 | + | 2.04237i | 0.00294481 | + | 0.143346i | ||||
\(204\) | −6.18046 | − | 4.01447i | −0.432719 | − | 0.281069i | ||||
\(205\) | 5.79387 | + | 4.86164i | 0.404662 | + | 0.339551i | ||||
\(206\) | 16.3994 | − | 3.86959i | 1.14260 | − | 0.269607i | ||||
\(207\) | 8.47293 | + | 6.89003i | 0.588910 | + | 0.478890i | ||||
\(208\) | −0.661867 | + | 0.881731i | −0.0458922 | + | 0.0611371i | ||||
\(209\) | 37.7392 | + | 6.65444i | 2.61048 | + | 0.460297i | ||||
\(210\) | −2.53072 | − | 9.51460i | −0.174636 | − | 0.656570i | ||||
\(211\) | 4.21784 | − | 11.5884i | 0.290368 | − | 0.797779i | −0.705645 | − | 0.708566i | \(-0.749343\pi\) |
0.996013 | − | 0.0892133i | \(-0.0284353\pi\) | |||||||
\(212\) | −21.1491 | − | 9.17254i | −1.45253 | − | 0.629972i | ||||
\(213\) | 19.5977 | + | 3.30016i | 1.34281 | + | 0.226123i | ||||
\(214\) | −4.81865 | − | 7.34223i | −0.329396 | − | 0.501904i | ||||
\(215\) | −5.26950 | − | 9.12703i | −0.359377 | − | 0.622459i | ||||
\(216\) | −13.9090 | − | 4.74753i | −0.946389 | − | 0.323028i | ||||
\(217\) | −1.80658 | − | 4.66321i | −0.122638 | − | 0.316559i | ||||
\(218\) | −0.0879213 | + | 0.174634i | −0.00595478 | + | 0.0118277i | ||||
\(219\) | 1.87343 | + | 0.315477i | 0.126595 | + | 0.0213180i | ||||
\(220\) | −2.09290 | − | 18.2187i | −0.141103 | − | 1.22830i | ||||
\(221\) | −0.376924 | − | 0.449200i | −0.0253546 | − | 0.0302165i | ||||
\(222\) | −5.99191 | − | 13.6383i | −0.402151 | − | 0.915346i | ||||
\(223\) | −20.9486 | − | 3.69381i | −1.40282 | − | 0.247356i | −0.579521 | − | 0.814957i | \(-0.696760\pi\) |
−0.823303 | + | 0.567601i | \(0.807871\pi\) | |||||||
\(224\) | 8.02835 | − | 12.6311i | 0.536417 | − | 0.843953i | ||||
\(225\) | 4.14540 | + | 6.93122i | 0.276360 | + | 0.462081i | ||||
\(226\) | 1.51464 | − | 5.04107i | 0.100752 | − | 0.335327i | ||||
\(227\) | −1.20765 | + | 6.84895i | −0.0801548 | + | 0.454581i | 0.918143 | + | 0.396250i | \(0.129689\pi\) |
−0.998297 | + | 0.0583303i | \(0.981422\pi\) | |||||||
\(228\) | 18.4447 | + | 11.9806i | 1.22153 | + | 0.793438i | ||||
\(229\) | 3.85057 | + | 1.40149i | 0.254453 | + | 0.0926132i | 0.466097 | − | 0.884734i | \(-0.345660\pi\) |
−0.211645 | + | 0.977347i | \(0.567882\pi\) | |||||||
\(230\) | −4.67652 | + | 6.26869i | −0.308361 | + | 0.413345i | ||||
\(231\) | 27.3634 | + | 4.03179i | 1.80038 | + | 0.265272i | ||||
\(232\) | −1.09753 | + | 1.88801i | −0.0720567 | + | 0.123954i | ||||
\(233\) | 20.6387 | + | 11.9157i | 1.35208 | + | 0.780626i | 0.988541 | − | 0.150951i | \(-0.0482336\pi\) |
0.363543 | + | 0.931577i | \(0.381567\pi\) | |||||||
\(234\) | −0.947958 | − | 0.684714i | −0.0619700 | − | 0.0447611i | ||||
\(235\) | −8.06509 | + | 4.65638i | −0.526108 | + | 0.303749i | ||||
\(236\) | 8.16859 | − | 8.62393i | 0.531730 | − | 0.561370i | ||||
\(237\) | 7.41165 | − | 6.31703i | 0.481438 | − | 0.410335i | ||||
\(238\) | 5.57484 | + | 5.68221i | 0.361363 | + | 0.368323i | ||||
\(239\) | −3.80941 | − | 21.6042i | −0.246410 | − | 1.39746i | −0.817194 | − | 0.576362i | \(-0.804472\pi\) |
0.570784 | − | 0.821100i | \(-0.306639\pi\) | |||||||
\(240\) | 2.98090 | − | 10.0943i | 0.192416 | − | 0.651581i | ||||
\(241\) | −26.6110 | + | 9.68563i | −1.71417 | + | 0.623906i | −0.997309 | − | 0.0733116i | \(-0.976643\pi\) |
−0.716859 | + | 0.697218i | \(0.754421\pi\) | |||||||
\(242\) | 34.4411 | + | 10.3482i | 2.21396 | + | 0.665205i | ||||
\(243\) | 4.76359 | − | 14.8428i | 0.305585 | − | 0.952165i | ||||
\(244\) | 17.0121 | − | 8.50164i | 1.08909 | − | 0.544262i | ||||
\(245\) | 0.436743 | + | 10.6253i | 0.0279025 | + | 0.678825i | ||||
\(246\) | −12.1693 | + | 0.790782i | −0.775887 | + | 0.0504184i | ||||
\(247\) | 1.12488 | + | 1.34058i | 0.0715743 | + | 0.0852989i | ||||
\(248\) | 0.943993 | − | 5.26221i | 0.0599436 | − | 0.334151i | ||||
\(249\) | 15.1262 | − | 2.78745i | 0.958582 | − | 0.176648i | ||||
\(250\) | −13.8163 | + | 9.06753i | −0.873819 | + | 0.573481i | ||||
\(251\) | −5.09800 | + | 8.82999i | −0.321783 | + | 0.557344i | −0.980856 | − | 0.194735i | \(-0.937615\pi\) |
0.659073 | + | 0.752079i | \(0.270949\pi\) | |||||||
\(252\) | 13.5515 | + | 8.26775i | 0.853667 | + | 0.520819i | ||||
\(253\) | −10.9857 | − | 19.0277i | −0.690662 | − | 1.19626i | ||||
\(254\) | −7.02557 | − | 3.53709i | −0.440823 | − | 0.221936i | ||||
\(255\) | 4.86945 | + | 2.76159i | 0.304937 | + | 0.172938i | ||||
\(256\) | 14.3545 | − | 7.06733i | 0.897159 | − | 0.441708i | ||||
\(257\) | −0.453040 | + | 1.24472i | −0.0282599 | + | 0.0776434i | −0.953020 | − | 0.302906i | \(-0.902043\pi\) |
0.924760 | + | 0.380550i | \(0.124265\pi\) | |||||||
\(258\) | 16.3113 | + | 4.76421i | 1.01550 | + | 0.296607i | ||||
\(259\) | 3.11889 | + | 15.7849i | 0.193798 | + | 0.980829i | ||||
\(260\) | 0.461572 | − | 0.698769i | 0.0286255 | − | 0.0433358i | ||||
\(261\) | −2.02359 | − | 1.12712i | −0.125257 | − | 0.0697670i | ||||
\(262\) | −11.7082 | + | 11.0243i | −0.723338 | + | 0.681082i | ||||
\(263\) | −1.69568 | − | 1.42285i | −0.104560 | − | 0.0877364i | 0.589009 | − | 0.808127i | \(-0.299518\pi\) |
−0.693569 | + | 0.720390i | \(0.743963\pi\) | |||||||
\(264\) | 22.7405 | + | 18.8989i | 1.39958 | + | 1.16315i | ||||
\(265\) | 16.4545 | + | 5.98894i | 1.01079 | + | 0.367898i | ||||
\(266\) | −16.6373 | − | 16.9578i | −1.02010 | − | 1.03975i | ||||
\(267\) | −6.22224 | − | 5.13992i | −0.380795 | − | 0.314558i | ||||
\(268\) | 7.65304 | − | 2.27467i | 0.467484 | − | 0.138948i | ||||
\(269\) | −1.40189 | − | 0.809381i | −0.0854747 | − | 0.0493488i | 0.456653 | − | 0.889645i | \(-0.349048\pi\) |
−0.542128 | + | 0.840296i | \(0.682381\pi\) | |||||||
\(270\) | 10.7629 | + | 2.96446i | 0.655007 | + | 0.180411i | ||||
\(271\) | 1.43895 | − | 0.830780i | 0.0874102 | − | 0.0504663i | −0.455658 | − | 0.890155i | \(-0.650596\pi\) |
0.543068 | + | 0.839689i | \(0.317263\pi\) | |||||||
\(272\) | 1.92972 | + | 8.28824i | 0.117006 | + | 0.502548i | ||||
\(273\) | 0.838891 | + | 0.944261i | 0.0507720 | + | 0.0571493i | ||||
\(274\) | −11.1607 | − | 25.9440i | −0.674242 | − | 1.56733i | ||||
\(275\) | −2.82152 | − | 16.0017i | −0.170144 | − | 0.964937i | ||||
\(276\) | −1.53561 | − | 12.5164i | −0.0924328 | − | 0.753397i | ||||
\(277\) | 8.41223 | + | 7.05870i | 0.505442 | + | 0.424116i | 0.859522 | − | 0.511099i | \(-0.170762\pi\) |
−0.354080 | + | 0.935215i | \(0.615206\pi\) | |||||||
\(278\) | 5.32426 | − | 1.25631i | 0.319328 | − | 0.0753483i | ||||
\(279\) | 5.59888 | + | 0.898532i | 0.335196 | + | 0.0537937i | ||||
\(280\) | −5.51040 | + | 9.94377i | −0.329309 | + | 0.594254i | ||||
\(281\) | −4.89819 | − | 13.4577i | −0.292201 | − | 0.802817i | −0.995744 | − | 0.0921636i | \(-0.970622\pi\) |
0.703542 | − | 0.710653i | \(-0.251601\pi\) | |||||||
\(282\) | 4.20988 | − | 14.4134i | 0.250695 | − | 0.858307i | ||||
\(283\) | 25.7322 | − | 4.53729i | 1.52962 | − | 0.269714i | 0.655416 | − | 0.755268i | \(-0.272493\pi\) |
0.874207 | + | 0.485554i | \(0.161382\pi\) | |||||||
\(284\) | −13.6672 | − | 18.4343i | −0.810997 | − | 1.09387i | ||||
\(285\) | −14.5322 | − | 8.24160i | −0.860815 | − | 0.488190i | ||||
\(286\) | 1.29086 | + | 1.96690i | 0.0763304 | + | 0.116305i | ||||
\(287\) | 13.0162 | + | 2.02039i | 0.768323 | + | 0.119260i | ||||
\(288\) | 7.77452 | + | 15.0850i | 0.458118 | + | 0.888891i | ||||
\(289\) | 12.4738 | 0.733755 | ||||||||
\(290\) | 0.745948 | − | 1.48165i | 0.0438036 | − | 0.0870052i | ||||
\(291\) | −1.34894 | + | 3.79693i | −0.0790763 | + | 0.222580i | ||||
\(292\) | −1.30651 | − | 1.76221i | −0.0764574 | − | 0.103126i | ||||
\(293\) | −20.4746 | + | 3.61022i | −1.19614 | + | 0.210911i | −0.736028 | − | 0.676951i | \(-0.763301\pi\) |
−0.460109 | + | 0.887863i | \(0.652190\pi\) | |||||||
\(294\) | −12.3490 | − | 11.8955i | −0.720209 | − | 0.693758i | ||||
\(295\) | −5.79973 | + | 6.91184i | −0.337673 | + | 0.402423i | ||||
\(296\) | −5.93109 | + | 16.1462i | −0.344738 | + | 0.938477i | ||||
\(297\) | −19.5987 | + | 24.4842i | −1.13723 | + | 1.42072i | ||||
\(298\) | 7.08764 | − | 23.5894i | 0.410576 | − | 1.36650i | ||||
\(299\) | 0.174230 | − | 0.988107i | 0.0100760 | − | 0.0571437i | ||||
\(300\) | 2.09868 | − | 9.08646i | 0.121168 | − | 0.524607i | ||||
\(301\) | −16.0805 | − | 8.84876i | −0.926862 | − | 0.510034i | ||||
\(302\) | 7.29931 | + | 0.860493i | 0.420028 | + | 0.0495158i | ||||
\(303\) | 6.17325 | + | 33.4993i | 0.354644 | + | 1.92448i | ||||
\(304\) | −5.75898 | − | 24.7351i | −0.330300 | − | 1.41866i | ||||
\(305\) | −12.5106 | + | 7.22298i | −0.716353 | + | 0.413587i | ||||
\(306\) | −8.75191 | + | 2.20796i | −0.500313 | + | 0.126220i | ||||
\(307\) | −29.1008 | + | 16.8014i | −1.66087 | + | 0.958904i | −0.688571 | + | 0.725169i | \(0.741762\pi\) |
−0.972300 | + | 0.233736i | \(0.924905\pi\) | |||||||
\(308\) | −19.5440 | − | 25.2596i | −1.11362 | − | 1.43930i | ||||
\(309\) | 10.1804 | − | 17.9508i | 0.579141 | − | 1.02119i | ||||
\(310\) | −0.475438 | + | 4.03301i | −0.0270031 | + | 0.229059i | ||||
\(311\) | −2.40292 | − | 13.6276i | −0.136257 | − | 0.772752i | −0.973976 | − | 0.226651i | \(-0.927222\pi\) |
0.837719 | − | 0.546102i | \(-0.183889\pi\) | |||||||
\(312\) | 0.240766 | + | 1.32865i | 0.0136307 | + | 0.0752200i | ||||
\(313\) | 13.6508 | + | 11.4544i | 0.771587 | + | 0.647438i | 0.941115 | − | 0.338087i | \(-0.109780\pi\) |
−0.169528 | + | 0.985525i | \(0.554224\pi\) | |||||||
\(314\) | −9.63789 | + | 9.07486i | −0.543897 | + | 0.512124i | ||||
\(315\) | −10.6526 | − | 5.64988i | −0.600204 | − | 0.318335i | ||||
\(316\) | −11.2246 | − | 0.676063i | −0.631436 | − | 0.0380315i | ||||
\(317\) | −5.28477 | − | 14.5198i | −0.296822 | − | 0.815513i | −0.995026 | − | 0.0996138i | \(-0.968239\pi\) |
0.698204 | − | 0.715899i | \(-0.253983\pi\) | |||||||
\(318\) | −25.8488 | + | 11.3565i | −1.44953 | + | 0.636840i | ||||
\(319\) | 2.99549 | + | 3.56989i | 0.167715 | + | 0.199876i | ||||
\(320\) | −10.5611 | + | 6.01410i | −0.590384 | + | 0.336198i | ||||
\(321\) | −10.6067 | − | 1.78611i | −0.592006 | − | 0.0996912i | ||||
\(322\) | −1.31648 | + | 13.5568i | −0.0733645 | + | 0.755492i | ||||
\(323\) | 13.5077 | 0.751591 | ||||||||
\(324\) | −15.8458 | + | 8.53872i | −0.880324 | + | 0.474373i | ||||
\(325\) | 0.371005 | − | 0.642600i | 0.0205797 | − | 0.0356450i | ||||
\(326\) | 26.3795 | − | 17.3127i | 1.46102 | − | 0.958861i | ||||
\(327\) | 0.0836309 | + | 0.224381i | 0.00462480 | + | 0.0124083i | ||||
\(328\) | 10.7602 | + | 9.08344i | 0.594131 | + | 0.501549i | ||||
\(329\) | −7.81919 | + | 14.2095i | −0.431086 | + | 0.783393i | ||||
\(330\) | −18.1053 | − | 13.2909i | −0.996663 | − | 0.731642i | ||||
\(331\) | 3.08521 | + | 8.47656i | 0.169579 | + | 0.465914i | 0.995148 | − | 0.0983867i | \(-0.0313682\pi\) |
−0.825570 | + | 0.564300i | \(0.809146\pi\) | |||||||
\(332\) | −14.8191 | − | 9.78879i | −0.813306 | − | 0.537230i | ||||
\(333\) | −17.2383 | − | 5.97514i | −0.944653 | − | 0.327436i | ||||
\(334\) | 30.2746 | + | 9.09629i | 1.65655 | + | 0.497727i | ||||
\(335\) | −5.69878 | + | 2.07419i | −0.311358 | + | 0.113325i | ||||
\(336\) | −4.65909 | − | 17.7283i | −0.254174 | − | 0.967158i | ||||
\(337\) | 25.1409 | − | 21.0957i | 1.36951 | − | 1.14916i | 0.396599 | − | 0.917992i | \(-0.370190\pi\) |
0.972914 | − | 0.231167i | \(-0.0742542\pi\) | |||||||
\(338\) | 2.13984 | − | 18.1516i | 0.116392 | − | 0.987319i | ||||
\(339\) | −3.26625 | − | 5.55800i | −0.177398 | − | 0.301869i | ||||
\(340\) | −1.84165 | − | 6.19615i | −0.0998773 | − | 0.336034i | ||||
\(341\) | −9.87998 | − | 5.70421i | −0.535031 | − | 0.308900i | ||||
\(342\) | 26.1189 | − | 6.58935i | 1.41235 | − | 0.356311i | ||||
\(343\) | 10.2303 | + | 15.4383i | 0.552383 | + | 0.833590i | ||||
\(344\) | −9.76029 | − | 17.0219i | −0.526240 | − | 0.917758i | ||||
\(345\) | 1.73592 | + | 9.41998i | 0.0934586 | + | 0.507155i | ||||
\(346\) | −7.60634 | + | 10.1960i | −0.408919 | + | 0.548140i | ||||
\(347\) | −28.1018 | − | 10.2282i | −1.50858 | − | 0.549079i | −0.550316 | − | 0.834957i | \(-0.685493\pi\) |
−0.958266 | + | 0.285878i | \(0.907715\pi\) | |||||||
\(348\) | 0.781750 | + | 2.55786i | 0.0419062 | + | 0.137116i | ||||
\(349\) | −10.1498 | − | 8.51668i | −0.543305 | − | 0.455887i | 0.329361 | − | 0.944204i | \(-0.393167\pi\) |
−0.872666 | + | 0.488317i | \(0.837611\pi\) | |||||||
\(350\) | −4.34386 | + | 9.08811i | −0.232189 | + | 0.485780i | ||||
\(351\) | −1.40432 | + | 0.281221i | −0.0749568 | + | 0.0150105i | ||||
\(352\) | −3.79583 | − | 33.9311i | −0.202319 | − | 1.80854i | ||||
\(353\) | −7.44113 | − | 20.4443i | −0.396051 | − | 1.08814i | −0.964191 | − | 0.265210i | \(-0.914559\pi\) |
0.568140 | − | 0.822932i | \(-0.307663\pi\) | |||||||
\(354\) | −0.943369 | − | 14.5175i | −0.0501395 | − | 0.771595i | ||||
\(355\) | 11.2045 | + | 13.3530i | 0.594674 | + | 0.708705i | ||||
\(356\) | 1.06356 | + | 9.25827i | 0.0563686 | + | 0.490687i | ||||
\(357\) | 9.74545 | − | 0.275315i | 0.515784 | − | 0.0145712i | ||||
\(358\) | 16.2914 | − | 0.932685i | 0.861027 | − | 0.0492939i | ||||
\(359\) | −3.95973 | −0.208987 | −0.104493 | − | 0.994526i | \(-0.533322\pi\) | ||||
−0.104493 | + | 0.994526i | \(0.533322\pi\) | |||||||
\(360\) | −6.58366 | − | 11.0826i | −0.346989 | − | 0.584106i | ||||
\(361\) | −21.3120 | −1.12169 | ||||||||
\(362\) | 7.74856 | − | 15.3906i | 0.407255 | − | 0.808914i | ||||
\(363\) | 37.9729 | − | 22.3154i | 1.99306 | − | 1.17125i | ||||
\(364\) | 0.0577655 | − | 1.45733i | 0.00302773 | − | 0.0763850i | ||||
\(365\) | 1.07109 | + | 1.27647i | 0.0560634 | + | 0.0668137i | ||||
\(366\) | 6.53038 | − | 22.3581i | 0.341348 | − | 1.16868i | ||||
\(367\) | −34.3379 | − | 6.05470i | −1.79243 | − | 0.316053i | −0.824231 | − | 0.566253i | \(-0.808392\pi\) |
−0.968194 | + | 0.250200i | \(0.919504\pi\) | |||||||
\(368\) | −8.74142 | + | 11.6452i | −0.455678 | + | 0.607048i | ||||
\(369\) | −9.42312 | + | 11.5880i | −0.490548 | + | 0.603246i | ||||
\(370\) | 3.75969 | − | 12.5131i | 0.195457 | − | 0.650528i | ||||
\(371\) | 29.9172 | − | 5.91123i | 1.55323 | − | 0.306896i | ||||
\(372\) | −3.94004 | − | 5.22964i | −0.204281 | − | 0.271144i | ||||
\(373\) | −6.43539 | − | 36.4969i | −0.333212 | − | 1.88974i | −0.444216 | − | 0.895920i | \(-0.646518\pi\) |
0.111004 | − | 0.993820i | \(-0.464593\pi\) | |||||||
\(374\) | 18.0346 | + | 2.12605i | 0.932549 | + | 0.109935i | ||||
\(375\) | −3.36103 | + | 19.9592i | −0.173563 | + | 1.03069i | ||||
\(376\) | −15.0413 | + | 8.62467i | −0.775698 | + | 0.444783i | ||||
\(377\) | 0.212813i | 0.0109604i | ||||||||
\(378\) | 18.7097 | − | 5.28638i | 0.962325 | − | 0.271902i | ||||
\(379\) | − | 7.76093i | − | 0.398652i | −0.979933 | − | 0.199326i | \(-0.936125\pi\) | ||
0.979933 | − | 0.199326i | \(-0.0638753\pi\) | |||||||
\(380\) | 5.49615 | + | 18.4916i | 0.281946 | + | 0.948598i | ||||
\(381\) | −9.02688 | + | 3.36448i | −0.462461 | + | 0.172368i | ||||
\(382\) | 2.02502 | − | 17.1777i | 0.103609 | − | 0.878886i | ||||
\(383\) | −2.38360 | − | 13.5181i | −0.121796 | − | 0.690740i | −0.983159 | − | 0.182751i | \(-0.941500\pi\) |
0.861363 | − | 0.507990i | \(-0.169611\pi\) | |||||||
\(384\) | 5.60566 | − | 18.7770i | 0.286063 | − | 0.958211i | ||||
\(385\) | 15.9721 | + | 18.2597i | 0.814016 | + | 0.930600i | ||||
\(386\) | 6.30018 | + | 1.89295i | 0.320671 | + | 0.0963485i | ||||
\(387\) | 17.8612 | − | 10.6823i | 0.907934 | − | 0.543014i | ||||
\(388\) | 4.16201 | − | 2.07993i | 0.211294 | − | 0.105592i | ||||
\(389\) | 12.6528 | + | 2.23104i | 0.641524 | + | 0.113118i | 0.484941 | − | 0.874547i | \(-0.338841\pi\) |
0.156583 | + | 0.987665i | \(0.449952\pi\) | |||||||
\(390\) | −0.243229 | − | 0.996408i | −0.0123164 | − | 0.0504551i | ||||
\(391\) | −4.97811 | − | 5.93268i | −0.251754 | − | 0.300029i | ||||
\(392\) | 0.754379 | + | 19.7846i | 0.0381019 | + | 0.999274i | ||||
\(393\) | 0.151709 | + | 19.6953i | 0.00765273 | + | 0.993494i | ||||
\(394\) | 19.9118 | + | 10.0248i | 1.00314 | + | 0.505040i | ||||
\(395\) | 8.54159 | 0.429774 | ||||||||
\(396\) | 35.9094 | − | 4.68669i | 1.80451 | − | 0.235515i | ||||
\(397\) | 38.4154 | 1.92801 | 0.964007 | − | 0.265878i | \(-0.0856620\pi\) | ||||
0.964007 | + | 0.265878i | \(0.0856620\pi\) | |||||||
\(398\) | −0.774499 | − | 13.5283i | −0.0388221 | − | 0.678114i | ||||
\(399\) | −29.0840 | + | 0.821642i | −1.45602 | + | 0.0411335i | ||||
\(400\) | −9.02019 | + | 5.88164i | −0.451010 | + | 0.294082i | ||||
\(401\) | 11.0231 | + | 13.1368i | 0.550466 | + | 0.656020i | 0.967500 | − | 0.252871i | \(-0.0813747\pi\) |
−0.417034 | + | 0.908891i | \(0.636930\pi\) | |||||||
\(402\) | 4.32973 | − | 8.76745i | 0.215947 | − | 0.437281i | ||||
\(403\) | −0.178186 | − | 0.489562i | −0.00887608 | − | 0.0243868i | ||||
\(404\) | 21.6788 | − | 32.8193i | 1.07856 | − | 1.63282i | ||||
\(405\) | 11.6246 | − | 7.19784i | 0.577632 | − | 0.357663i | ||||
\(406\) | −0.224327 | − | 2.88023i | −0.0111332 | − | 0.142944i | ||||
\(407\) | 28.1183 | + | 23.5940i | 1.39377 | + | 1.16951i | ||||
\(408\) | 9.05069 | + | 5.16846i | 0.448076 | + | 0.255877i | ||||
\(409\) | 4.85703 | + | 1.76781i | 0.240164 | + | 0.0874127i | 0.459298 | − | 0.888282i | \(-0.348101\pi\) |
−0.219134 | + | 0.975695i | \(0.570323\pi\) | |||||||
\(410\) | −8.57335 | − | 6.39583i | −0.423408 | − | 0.315867i | ||||
\(411\) | −32.5942 | − | 11.5798i | −1.60776 | − | 0.571189i | ||||
\(412\) | −22.8416 | + | 6.78907i | −1.12532 | + | 0.334473i | ||||
\(413\) | −2.41024 | + | 15.5278i | −0.118600 | + | 0.764073i | ||||
\(414\) | −12.5199 | − | 9.04316i | −0.615319 | − | 0.444447i | ||||
\(415\) | 11.6831 | + | 6.74527i | 0.573503 | + | 0.331112i | ||||
\(416\) | 0.863220 | − | 1.29842i | 0.0423228 | − | 0.0636602i | ||||
\(417\) | 3.30517 | − | 5.82794i | 0.161855 | − | 0.285396i | ||||
\(418\) | −53.8220 | − | 6.34490i | −2.63252 | − | 0.310339i | ||||
\(419\) | 22.0904 | − | 18.5361i | 1.07919 | − | 0.905547i | 0.0833354 | − | 0.996522i | \(-0.473443\pi\) |
0.995853 | + | 0.0909748i | \(0.0289983\pi\) | |||||||
\(420\) | 4.34221 | + | 13.2291i | 0.211878 | + | 0.645515i | ||||
\(421\) | −24.3283 | + | 8.85476i | −1.18569 | + | 0.431555i | −0.858207 | − | 0.513304i | \(-0.828421\pi\) |
−0.327479 | + | 0.944858i | \(0.606199\pi\) | |||||||
\(422\) | −5.01846 | + | 16.7026i | −0.244295 | + | 0.813071i | ||||
\(423\) | −9.43943 | − | 15.7830i | −0.458961 | − | 0.767395i | ||||
\(424\) | 30.6019 | + | 11.2412i | 1.48616 | + | 0.545921i | ||||
\(425\) | −1.95887 | − | 5.38196i | −0.0950194 | − | 0.261064i | ||||
\(426\) | −27.9368 | − | 3.07539i | −1.35354 | − | 0.149003i | ||||
\(427\) | −12.1291 | + | 22.0417i | −0.586970 | + | 1.06667i | ||||
\(428\) | 7.39695 | + | 9.97700i | 0.357545 | + | 0.482257i | ||||
\(429\) | 2.84141 | + | 0.478480i | 0.137184 | + | 0.0231012i | ||||
\(430\) | 8.17776 | + | 12.4605i | 0.394367 | + | 0.600900i | ||||
\(431\) | 6.78753 | − | 11.7564i | 0.326944 | − | 0.566284i | −0.654960 | − | 0.755664i | \(-0.727314\pi\) |
0.981904 | + | 0.189380i | \(0.0606478\pi\) | |||||||
\(432\) | 20.0219 | + | 5.57875i | 0.963305 | + | 0.268408i | ||||
\(433\) | −16.4360 | −0.789863 | −0.394931 | − | 0.918711i | \(-0.629232\pi\) | ||||
−0.394931 | + | 0.918711i | \(0.629232\pi\) | |||||||
\(434\) | 2.92764 | + | 6.43797i | 0.140531 | + | 0.309032i | ||||
\(435\) | −0.709547 | − | 1.90371i | −0.0340202 | − | 0.0912759i | ||||
\(436\) | 0.110020 | − | 0.253673i | 0.00526901 | − | 0.0121488i | ||||
\(437\) | 14.8565 | + | 17.7053i | 0.710683 | + | 0.846959i | ||||
\(438\) | −2.67060 | − | 0.293990i | −0.127606 | − | 0.0140474i | ||||
\(439\) | −1.11178 | − | 3.05460i | −0.0530625 | − | 0.145788i | 0.910330 | − | 0.413884i | \(-0.135828\pi\) |
−0.963392 | + | 0.268096i | \(0.913606\pi\) | |||||||
\(440\) | 4.42762 | + | 25.5538i | 0.211078 | + | 1.21823i | ||||
\(441\) | −20.9665 | + | 1.18558i | −0.998405 | + | 0.0564563i | ||||
\(442\) | 0.568489 | + | 0.603759i | 0.0270403 | + | 0.0287179i | ||||
\(443\) | −12.0685 | − | 10.1266i | −0.573390 | − | 0.481131i | 0.309379 | − | 0.950939i | \(-0.399879\pi\) |
−0.882769 | + | 0.469808i | \(0.844323\pi\) | |||||||
\(444\) | 9.56240 | + | 18.7717i | 0.453811 | + | 0.890864i | ||||
\(445\) | −1.22921 | − | 6.97120i | −0.0582702 | − | 0.330467i | ||||
\(446\) | 29.8760 | + | 3.52199i | 1.41467 | + | 0.166771i | ||||
\(447\) | −15.2842 | − | 26.0083i | −0.722918 | − | 1.23015i | ||||
\(448\) | −10.3142 | + | 18.4829i | −0.487302 | + | 0.873233i | ||||
\(449\) | 17.4844 | − | 10.0946i | 0.825142 | − | 0.476396i | −0.0270444 | − | 0.999634i | \(-0.508610\pi\) |
0.852186 | + | 0.523238i | \(0.175276\pi\) | |||||||
\(450\) | −6.41316 | − | 9.45112i | −0.302319 | − | 0.445530i | ||||
\(451\) | 26.0232 | − | 15.0245i | 1.22538 | − | 0.707476i | ||||
\(452\) | −1.73104 | + | 7.23992i | −0.0814212 | + | 0.340537i | ||||
\(453\) | 6.85093 | − | 5.83912i | 0.321885 | − | 0.274346i | ||||
\(454\) | 1.15148 | − | 9.76766i | 0.0540415 | − | 0.458419i | ||||
\(455\) | 0.0227541 | + | 1.10761i | 0.00106673 | + | 0.0519256i | ||||
\(456\) | −27.0106 | − | 15.4246i | −1.26489 | − | 0.722322i | ||||
\(457\) | −3.03869 | + | 17.2333i | −0.142144 | + | 0.806139i | 0.827472 | + | 0.561507i | \(0.189778\pi\) |
−0.969616 | + | 0.244632i | \(0.921333\pi\) | |||||||
\(458\) | −5.54991 | − | 1.66752i | −0.259330 | − | 0.0779181i | ||||
\(459\) | −5.30467 | + | 9.69882i | −0.247601 | + | 0.452702i | ||||
\(460\) | 6.09608 | − | 9.22879i | 0.284231 | − | 0.430294i | ||||
\(461\) | 3.59001 | − | 4.27841i | 0.167204 | − | 0.199266i | −0.675936 | − | 0.736961i | \(-0.736260\pi\) |
0.843139 | + | 0.537695i | \(0.180705\pi\) | |||||||
\(462\) | −38.9603 | − | 3.48066i | −1.81260 | − | 0.161935i | ||||
\(463\) | −7.86099 | + | 1.38611i | −0.365331 | + | 0.0644178i | −0.353301 | − | 0.935510i | \(-0.614941\pi\) |
−0.0120308 | + | 0.999928i | \(0.503830\pi\) | |||||||
\(464\) | 1.39700 | − | 2.75441i | 0.0648541 | − | 0.127870i | ||||
\(465\) | 3.22623 | + | 3.78527i | 0.149613 | + | 0.175538i | ||||
\(466\) | −30.1029 | − | 15.1556i | −1.39449 | − | 0.702070i | ||||
\(467\) | −18.1268 | −0.838810 | −0.419405 | − | 0.907799i | \(-0.637761\pi\) | ||||
−0.419405 | + | 0.907799i | \(0.637761\pi\) | |||||||
\(468\) | 1.39377 | + | 0.890124i | 0.0644271 | + | 0.0411460i | ||||
\(469\) | −6.62135 | + | 8.22850i | −0.305746 | + | 0.379957i | ||||
\(470\) | 11.0107 | − | 7.22626i | 0.507887 | − | 0.333323i | ||||
\(471\) | 0.124883 | + | 16.2126i | 0.00575430 | + | 0.747036i | ||||
\(472\) | −10.8362 | + | 12.8364i | −0.498775 | + | 0.590844i | ||||
\(473\) | −41.2349 | + | 7.27083i | −1.89598 | + | 0.334313i | ||||
\(474\) | −9.95390 | + | 9.51812i | −0.457198 | + | 0.437182i | ||||
\(475\) | 5.84600 | + | 16.0617i | 0.268233 | + | 0.736963i | ||||
\(476\) | −8.33042 | − | 7.57210i | −0.381824 | − | 0.347067i | ||||
\(477\) | −11.3247 | + | 32.6718i | −0.518522 | + | 1.49594i | ||||
\(478\) | 7.12482 | + | 30.1952i | 0.325882 | + | 1.38109i | ||||
\(479\) | −0.554426 | − | 0.465219i | −0.0253324 | − | 0.0212564i | 0.630034 | − | 0.776568i | \(-0.283041\pi\) |
−0.655366 | + | 0.755312i | \(0.727486\pi\) | |||||||
\(480\) | −3.39280 | + | 14.4930i | −0.154860 | + | 0.661514i | ||||
\(481\) | 0.291073 | + | 1.65075i | 0.0132718 | + | 0.0752679i | ||||
\(482\) | 36.7893 | − | 15.8262i | 1.67571 | − | 0.720862i | ||||
\(483\) | 11.0794 | + | 12.4711i | 0.504131 | + | 0.567453i | ||||
\(484\) | −49.4640 | − | 11.8267i | −2.24836 | − | 0.537575i | ||||
\(485\) | −3.06072 | + | 1.76711i | −0.138980 | + | 0.0802401i | ||||
\(486\) | −5.52596 | + | 21.3416i | −0.250663 | + | 0.968074i | ||||
\(487\) | 19.2385 | + | 11.1074i | 0.871781 | + | 0.503323i | 0.867940 | − | 0.496670i | \(-0.165444\pi\) |
0.00384144 | + | 0.999993i | \(0.498777\pi\) | |||||||
\(488\) | −23.3322 | + | 13.3786i | −1.05620 | + | 0.605620i | ||||
\(489\) | 6.41723 | − | 38.1081i | 0.290197 | − | 1.72331i | ||||
\(490\) | −1.47550 | − | 14.9666i | −0.0666561 | − | 0.676121i | ||||
\(491\) | 26.7461 | + | 9.73480i | 1.20704 | + | 0.439325i | 0.865675 | − | 0.500607i | \(-0.166890\pi\) |
0.341362 | + | 0.939932i | \(0.389112\pi\) | |||||||
\(492\) | 17.1180 | − | 2.10017i | 0.771737 | − | 0.0946830i | ||||
\(493\) | 1.25833 | + | 1.05587i | 0.0566725 | + | 0.0475539i | ||||
\(494\) | −1.69658 | − | 1.80184i | −0.0763327 | − | 0.0810685i | ||||
\(495\) | −27.0130 | + | 5.19341i | −1.21415 | + | 0.233427i | ||||
\(496\) | −0.907472 | + | 7.50603i | −0.0407467 | + | 0.337031i | ||||
\(497\) | 28.7339 | + | 9.79475i | 1.28889 | + | 0.439355i | ||||
\(498\) | −21.1313 | + | 5.15828i | −0.946918 | + | 0.231148i | ||||
\(499\) | 5.95840 | − | 16.3706i | 0.266735 | − | 0.732847i | −0.731940 | − | 0.681370i | \(-0.761385\pi\) |
0.998674 | − | 0.0514777i | \(-0.0163931\pi\) | |||||||
\(500\) | 18.7743 | − | 13.9193i | 0.839612 | − | 0.622488i | ||||
\(501\) | 33.3791 | − | 19.6158i | 1.49127 | − | 0.876368i | ||||
\(502\) | 6.48413 | − | 12.8792i | 0.289401 | − | 0.574825i | ||||
\(503\) | −7.68434 | − | 13.3097i | −0.342628 | − | 0.593448i | 0.642292 | − | 0.766460i | \(-0.277984\pi\) |
−0.984920 | + | 0.173011i | \(0.944650\pi\) | |||||||
\(504\) | −19.8017 | − | 10.5779i | −0.882040 | − | 0.471175i | ||||
\(505\) | −14.9385 | + | 25.8742i | −0.664753 | + | 1.15139i | ||||
\(506\) | 17.0487 | + | 25.9773i | 0.757907 | + | 1.15483i | ||||
\(507\) | −14.5205 | − | 17.0366i | −0.644878 | − | 0.756623i | ||||
\(508\) | 10.2053 | + | 4.42613i | 0.452788 | + | 0.196378i | ||||
\(509\) | 10.9872 | + | 13.0941i | 0.487000 | + | 0.580384i | 0.952452 | − | 0.304689i | \(-0.0985525\pi\) |
−0.465452 | + | 0.885073i | \(0.654108\pi\) | |||||||
\(510\) | −7.09841 | − | 3.50549i | −0.314323 | − | 0.155226i | ||||
\(511\) | 2.74680 | + | 0.936324i | 0.121511 | + | 0.0414205i | ||||
\(512\) | −19.6959 | + | 11.1387i | −0.870446 | + | 0.492264i | ||||
\(513\) | 15.8311 | − | 28.9448i | 0.698959 | − | 1.27794i | ||||
\(514\) | 0.539036 | − | 1.79404i | 0.0237759 | − | 0.0791317i | ||||
\(515\) | 17.0088 | − | 6.19070i | 0.749498 | − | 0.272795i | ||||
\(516\) | −23.4150 | − | 5.40813i | −1.03079 | − | 0.238079i | ||||
\(517\) | 6.42485 | + | 36.4372i | 0.282565 | + | 1.60250i | ||||
\(518\) | −5.67948 | − | 22.0347i | −0.249542 | − | 0.968149i | ||||
\(519\) | 2.82346 | + | 15.3216i | 0.123936 | + | 0.672542i | ||||
\(520\) | −0.595212 | + | 1.02390i | −0.0261018 | + | 0.0449011i | ||||
\(521\) | 10.9709 | − | 6.33403i | 0.480642 | − | 0.277499i | −0.240042 | − | 0.970763i | \(-0.577161\pi\) |
0.720684 | + | 0.693264i | \(0.243828\pi\) | |||||||
\(522\) | 2.94822 | + | 1.42781i | 0.129040 | + | 0.0624936i | ||||
\(523\) | −7.48837 | − | 4.32341i | −0.327443 | − | 0.189050i | 0.327262 | − | 0.944934i | \(-0.393874\pi\) |
−0.654706 | + | 0.755884i | \(0.727207\pi\) | |||||||
\(524\) | 15.6398 | − | 16.5116i | 0.683227 | − | 0.721312i | ||||
\(525\) | 4.54509 | + | 11.4689i | 0.198364 | + | 0.500545i | ||||
\(526\) | 2.50915 | + | 1.87185i | 0.109404 | + | 0.0816167i | ||||
\(527\) | −3.77879 | − | 1.37537i | −0.164607 | − | 0.0599119i | ||||
\(528\) | −33.6350 | − | 24.8452i | −1.46377 | − | 1.08125i | ||||
\(529\) | −1.69282 | + | 9.60044i | −0.0736008 | + | 0.417411i | ||||
\(530\) | −23.7162 | − | 7.12575i | −1.03017 | − | 0.309523i | ||||
\(531\) | −13.8240 | − | 11.2414i | −0.599909 | − | 0.487834i | ||||
\(532\) | 24.8610 | + | 22.5979i | 1.07786 | + | 0.979744i | ||||
\(533\) | 1.35138 | + | 0.238285i | 0.0585348 | + | 0.0103213i | ||||
\(534\) | 9.20065 | + | 6.75412i | 0.398151 | + | 0.292279i | ||||
\(535\) | −6.06411 | − | 7.22693i | −0.262174 | − | 0.312447i | ||||
\(536\) | −10.6215 | + | 3.83022i | −0.458778 | + | 0.165440i | ||||
\(537\) | 12.7281 | − | 15.4083i | 0.549259 | − | 0.664916i | ||||
\(538\) | 2.04475 | + | 1.02945i | 0.0881555 | + | 0.0443827i | ||||
\(539\) | 40.2616 | + | 12.8075i | 1.73419 | + | 0.551658i | ||||
\(540\) | −15.4357 | − | 3.31555i | −0.664248 | − | 0.142679i | ||||
\(541\) | −7.79493 | − | 13.5012i | −0.335130 | − | 0.580463i | 0.648380 | − | 0.761317i | \(-0.275447\pi\) |
−0.983510 | + | 0.180855i | \(0.942114\pi\) | |||||||
\(542\) | −1.96451 | + | 1.28929i | −0.0843828 | + | 0.0553799i | ||||
\(543\) | −7.37044 | − | 19.7748i | −0.316296 | − | 0.848620i | ||||
\(544\) | −3.39452 | − | 11.5462i | −0.145539 | − | 0.495039i | ||||
\(545\) | −0.0718345 | + | 0.197364i | −0.00307705 | + | 0.00845413i | ||||
\(546\) | −1.26076 | − | 1.26539i | −0.0539555 | − | 0.0541539i | ||||
\(547\) | 29.4704 | + | 5.19643i | 1.26007 | + | 0.222183i | 0.763495 | − | 0.645813i | \(-0.223482\pi\) |
0.496570 | + | 0.867997i | \(0.334593\pi\) | |||||||
\(548\) | 17.8549 | + | 35.7282i | 0.762723 | + | 1.52623i | ||||
\(549\) | −14.6425 | − | 24.4826i | −0.624925 | − | 1.04489i | ||||
\(550\) | 5.27715 | + | 22.3647i | 0.225019 | + | 0.953634i | ||||
\(551\) | −3.75533 | − | 3.15110i | −0.159982 | − | 0.134241i | ||||
\(552\) | 3.17985 | + | 17.5477i | 0.135343 | + | 0.746882i | ||||
\(553\) | 12.7273 | − | 7.70089i | 0.541219 | − | 0.327475i | ||||
\(554\) | −12.4478 | − | 9.28621i | −0.528856 | − | 0.394533i | ||||
\(555\) | −8.10762 | − | 13.7963i | −0.344149 | − | 0.585620i | ||||
\(556\) | −7.41578 | + | 2.20415i | −0.314499 | + | 0.0934768i | ||||
\(557\) | 0.502222i | 0.0212798i | 0.999943 | + | 0.0106399i | \(0.00338685\pi\) | ||||
−0.999943 | + | 0.0106399i | \(0.996613\pi\) | |||||||
\(558\) | −7.97769 | − | 0.816073i | −0.337723 | − | 0.0345471i | ||||
\(559\) | −1.65593 | − | 0.956049i | −0.0700382 | − | 0.0404366i | ||||
\(560\) | 6.97637 | − | 14.4850i | 0.294805 | − | 0.612104i | ||||
\(561\) | 16.9268 | − | 14.4269i | 0.714650 | − | 0.609105i | ||||
\(562\) | 8.00356 | + | 18.6050i | 0.337610 | + | 0.784803i | ||||
\(563\) | 26.5257 | + | 9.65456i | 1.11792 | + | 0.406891i | 0.833894 | − | 0.551924i | \(-0.186106\pi\) |
0.284030 | + | 0.958815i | \(0.408328\pi\) | |||||||
\(564\) | −4.77888 | + | 20.6906i | −0.201227 | + | 0.871233i | ||||
\(565\) | 0.981873 | − | 5.56848i | 0.0413077 | − | 0.234268i | ||||
\(566\) | −35.9646 | + | 8.48618i | −1.51171 | + | 0.356701i | ||||
\(567\) | 10.8317 | − | 21.2055i | 0.454889 | − | 0.890548i | ||||
\(568\) | 20.7868 | + | 24.9226i | 0.872193 | + | 1.04573i | ||||
\(569\) | −11.9349 | − | 2.10445i | −0.500338 | − | 0.0882231i | −0.0822170 | − | 0.996614i | \(-0.526200\pi\) |
−0.418121 | + | 0.908391i | \(0.637311\pi\) | |||||||
\(570\) | 21.1843 | + | 10.4617i | 0.887311 | + | 0.438191i | ||||
\(571\) | −13.1197 | + | 36.0461i | −0.549043 | + | 1.50848i | 0.285961 | + | 0.958241i | \(0.407687\pi\) |
−0.835005 | + | 0.550243i | \(0.814535\pi\) | |||||||
\(572\) | −1.98156 | − | 2.67273i | −0.0828532 | − | 0.111752i | ||||
\(573\) | −13.7414 | − | 16.1225i | −0.574054 | − | 0.673526i | ||||
\(574\) | −18.5409 | − | 1.80048i | −0.773883 | − | 0.0751505i | ||||
\(575\) | 4.89995 | − | 8.48696i | 0.204342 | − | 0.353930i | ||||
\(576\) | −12.1962 | − | 20.6701i | −0.508175 | − | 0.861254i | ||||
\(577\) | −37.8859 | −1.57721 | −0.788605 | − | 0.614900i | \(-0.789196\pi\) | ||||
−0.788605 | + | 0.614900i | \(0.789196\pi\) | |||||||
\(578\) | −17.6118 | + | 1.00828i | −0.732555 | + | 0.0419389i | ||||
\(579\) | 6.94623 | − | 4.08206i | 0.288675 | − | 0.169645i | ||||
\(580\) | −0.933441 | + | 2.15223i | −0.0387590 | + | 0.0893666i | ||||
\(581\) | 23.4897 | − | 0.482557i | 0.974516 | − | 0.0200198i | ||||
\(582\) | 1.59766 | − | 5.46993i | 0.0662251 | − | 0.226736i | ||||
\(583\) | 44.7178 | − | 53.2926i | 1.85202 | − | 2.20715i | ||||
\(584\) | 1.98710 | + | 2.38247i | 0.0822267 | + | 0.0985872i | ||||
\(585\) | −1.09743 | − | 0.611256i | −0.0453731 | − | 0.0252723i | ||||
\(586\) | 28.6162 | − | 6.75226i | 1.18213 | − | 0.278933i | ||||
\(587\) | 6.05114 | − | 34.3177i | 0.249757 | − | 1.41644i | −0.559422 | − | 0.828883i | \(-0.688977\pi\) |
0.809179 | − | 0.587562i | \(-0.199912\pi\) | |||||||
\(588\) | 18.3971 | + | 15.7970i | 0.758684 | + | 0.651459i | ||||
\(589\) | 11.2773 | + | 4.10460i | 0.464672 | + | 0.169127i | ||||
\(590\) | 7.62995 | − | 10.2276i | 0.314120 | − | 0.421065i | ||||
\(591\) | 25.5839 | − | 9.53556i | 1.05238 | − | 0.392241i | ||||
\(592\) | 7.06899 | − | 23.2762i | 0.290534 | − | 0.956647i | ||||
\(593\) | −4.46060 | + | 2.57533i | −0.183175 | + | 0.105756i | −0.588784 | − | 0.808291i | \(-0.700393\pi\) |
0.405609 | + | 0.914047i | \(0.367060\pi\) | |||||||
\(594\) | 25.6924 | − | 36.1535i | 1.05417 | − | 1.48339i | ||||
\(595\) | 6.66206 | + | 5.36086i | 0.273118 | + | 0.219774i | ||||
\(596\) | −8.10029 | + | 33.8788i | −0.331801 | + | 1.38773i | ||||
\(597\) | −12.7950 | − | 10.5694i | −0.523664 | − | 0.432576i | ||||
\(598\) | −0.166125 | + | 1.40919i | −0.00679337 | + | 0.0576262i | ||||
\(599\) | −14.6483 | + | 12.2914i | −0.598512 | + | 0.502211i | −0.890967 | − | 0.454068i | \(-0.849972\pi\) |
0.292455 | + | 0.956279i | \(0.405528\pi\) | |||||||
\(600\) | −2.22866 | + | 12.9988i | −0.0909847 | + | 0.530675i | ||||
\(601\) | −5.84509 | + | 33.1492i | −0.238426 | + | 1.35218i | 0.596851 | + | 0.802352i | \(0.296419\pi\) |
−0.835277 | + | 0.549830i | \(0.814693\pi\) | |||||||
\(602\) | 23.4193 | + | 11.1938i | 0.954499 | + | 0.456224i | ||||
\(603\) | −4.26887 | − | 11.1892i | −0.173842 | − | 0.455661i | ||||
\(604\) | −10.3755 | − | 0.624916i | −0.422172 | − | 0.0254275i | ||||
\(605\) | 38.0445 | + | 6.70827i | 1.54673 | + | 0.272730i | ||||
\(606\) | −11.4238 | − | 46.7987i | −0.464061 | − | 1.90107i | ||||
\(607\) | 6.29335 | − | 17.2908i | 0.255439 | − | 0.701814i | −0.743995 | − | 0.668185i | \(-0.767071\pi\) |
0.999434 | − | 0.0336286i | \(-0.0107063\pi\) | |||||||
\(608\) | 10.1305 | + | 34.4581i | 0.410846 | + | 1.39746i | ||||
\(609\) | −2.77359 | − | 2.19688i | −0.112392 | − | 0.0890223i | ||||
\(610\) | 17.0799 | − | 11.2094i | 0.691543 | − | 0.453855i | ||||
\(611\) | −0.844811 | + | 1.46326i | −0.0341774 | + | 0.0591970i | ||||
\(612\) | 12.1784 | − | 3.82485i | 0.492281 | − | 0.154610i | ||||
\(613\) | −10.6375 | − | 18.4247i | −0.429644 | − | 0.744165i | 0.567198 | − | 0.823582i | \(-0.308028\pi\) |
−0.996841 | + | 0.0794168i | \(0.974694\pi\) | |||||||
\(614\) | 39.7294 | − | 26.0741i | 1.60335 | − | 1.05227i | ||||
\(615\) | −12.8832 | + | 2.37412i | −0.519501 | + | 0.0957337i | ||||
\(616\) | 29.6360 | + | 34.0842i | 1.19407 | + | 1.37329i | ||||
\(617\) | −28.1047 | + | 4.95561i | −1.13145 | + | 0.199506i | −0.707864 | − | 0.706349i | \(-0.750341\pi\) |
−0.423589 | + | 0.905855i | \(0.639230\pi\) | |||||||
\(618\) | −12.9227 | + | 26.1677i | −0.519826 | + | 1.05262i | ||||
\(619\) | 1.38626 | + | 3.80872i | 0.0557185 | + | 0.153085i | 0.964429 | − | 0.264341i | \(-0.0851544\pi\) |
−0.908711 | + | 0.417426i | \(0.862932\pi\) | |||||||
\(620\) | 0.345278 | − | 5.73264i | 0.0138667 | − | 0.230228i | ||||
\(621\) | −18.5471 | + | 3.71415i | −0.744269 | + | 0.149044i | ||||
\(622\) | 4.49423 | + | 19.0467i | 0.180202 | + | 0.763701i | ||||
\(623\) | −8.11664 | − | 9.27911i | −0.325186 | − | 0.371760i | ||||
\(624\) | −0.447335 | − | 1.85646i | −0.0179077 | − | 0.0743179i | ||||
\(625\) | −3.28802 | + | 2.75898i | −0.131521 | + | 0.110359i | ||||
\(626\) | −20.1994 | − | 15.0690i | −0.807331 | − | 0.602279i | ||||
\(627\) | −50.5158 | + | 43.0552i | −2.01741 | + | 1.71946i | ||||
\(628\) | 12.8742 | − | 13.5919i | 0.513737 | − | 0.542374i | ||||
\(629\) | 11.2049 | + | 6.46913i | 0.446767 | + | 0.257941i | ||||
\(630\) | 15.4971 | + | 7.11601i | 0.617418 | + | 0.283509i | ||||
\(631\) | 6.38747 | − | 3.68781i | 0.254281 | − | 0.146809i | −0.367442 | − | 0.930047i | \(-0.619766\pi\) |
0.621723 | + | 0.783237i | \(0.286433\pi\) | |||||||
\(632\) | 15.9027 | + | 0.0472287i | 0.632577 | + | 0.00187866i | ||||
\(633\) | 10.8221 | + | 18.4154i | 0.430140 | + | 0.731946i | ||||
\(634\) | 8.63524 | + | 20.0733i | 0.342949 | + | 0.797214i | ||||
\(635\) | −7.93997 | − | 2.88991i | −0.315088 | − | 0.114683i | ||||
\(636\) | 35.5780 | − | 18.1236i | 1.41076 | − | 0.718649i | ||||
\(637\) | 1.03250 | + | 1.62987i | 0.0409092 | + | 0.0645777i | ||||
\(638\) | −4.51790 | − | 4.79820i | −0.178866 | − | 0.189963i | ||||
\(639\) | −26.0249 | + | 22.5297i | −1.02953 | + | 0.891260i | ||||
\(640\) | 14.4251 | − | 9.34499i | 0.570202 | − | 0.369393i | ||||
\(641\) | −6.74870 | + | 8.04278i | −0.266558 | + | 0.317671i | −0.882675 | − | 0.469983i | \(-0.844260\pi\) |
0.616118 | + | 0.787654i | \(0.288704\pi\) | |||||||
\(642\) | 15.1199 | + | 1.66446i | 0.596737 | + | 0.0656912i | ||||
\(643\) | −9.06005 | + | 24.8923i | −0.357294 | + | 0.981656i | 0.622671 | + | 0.782484i | \(0.286048\pi\) |
−0.979964 | + | 0.199172i | \(0.936175\pi\) | |||||||
\(644\) | 0.762921 | − | 19.2473i | 0.0300633 | − | 0.758450i | ||||
\(645\) | 18.0006 | + | 3.03122i | 0.708774 | + | 0.119354i | ||||
\(646\) | −19.0716 | + | 1.09185i | −0.750362 | + | 0.0429583i | ||||
\(647\) | −19.8213 | + | 34.3316i | −0.779257 | + | 1.34971i | 0.153113 | + | 0.988209i | \(0.451070\pi\) |
−0.932370 | + | 0.361504i | \(0.882263\pi\) | |||||||
\(648\) | 21.6826 | − | 13.3367i | 0.851771 | − | 0.523914i | ||||
\(649\) | 17.9236 | + | 31.0445i | 0.703562 | + | 1.21860i | ||||
\(650\) | −0.471881 | + | 0.937277i | −0.0185087 | + | 0.0367630i | ||||
\(651\) | 8.21990 | + | 2.73149i | 0.322163 | + | 0.107056i | ||||
\(652\) | −35.8458 | + | 26.5761i | −1.40383 | + | 1.04080i | ||||
\(653\) | 31.2358 | − | 5.50772i | 1.22235 | − | 0.215534i | 0.475014 | − | 0.879978i | \(-0.342443\pi\) |
0.747337 | + | 0.664445i | \(0.231332\pi\) | |||||||
\(654\) | −0.136216 | − | 0.310044i | −0.00532645 | − | 0.0121237i | ||||
\(655\) | −11.1043 | + | 13.2336i | −0.433881 | + | 0.517079i | ||||
\(656\) | −15.9265 | − | 11.9552i | −0.621826 | − | 0.466771i | ||||
\(657\) | −2.48783 | + | 2.15371i | −0.0970597 | + | 0.0840243i | ||||
\(658\) | 9.89135 | − | 20.6944i | 0.385605 | − | 0.806752i | ||||
\(659\) | −39.0554 | + | 14.2150i | −1.52138 | + | 0.553739i | −0.961493 | − | 0.274828i | \(-0.911379\pi\) |
−0.559891 | + | 0.828566i | \(0.689157\pi\) | |||||||
\(660\) | 26.6372 | + | 17.3020i | 1.03685 | + | 0.673480i | ||||
\(661\) | −4.92975 | − | 27.9580i | −0.191745 | − | 1.08744i | −0.916978 | − | 0.398937i | \(-0.869379\pi\) |
0.725233 | − | 0.688503i | \(-0.241732\pi\) | |||||||
\(662\) | −5.04119 | − | 11.7187i | −0.195931 | − | 0.455459i | ||||
\(663\) | 1.01563 | − | 0.00782320i | 0.0394436 | − | 0.000303828i | ||||
\(664\) | 21.7144 | + | 12.6230i | 0.842683 | + | 0.489866i | ||||
\(665\) | −19.8820 | − | 15.9988i | −0.770992 | − | 0.620406i | ||||
\(666\) | 24.8218 | + | 7.04291i | 0.961824 | + | 0.272907i | ||||
\(667\) | 2.81066i | 0.108829i | ||||||||
\(668\) | −43.4800 | − | 10.3959i | −1.68229 | − | 0.402230i | ||||
\(669\) | 28.0408 | − | 23.8995i | 1.08412 | − | 0.924007i | ||||
\(670\) | 7.87846 | − | 3.38919i | 0.304372 | − | 0.130936i | ||||
\(671\) | 9.96624 | + | 56.5214i | 0.384743 | + | 2.18198i | ||||
\(672\) | 8.01119 | + | 24.6540i | 0.309038 | + | 0.951050i | ||||
\(673\) | −22.1497 | − | 18.5858i | −0.853810 | − | 0.716432i | 0.106815 | − | 0.994279i | \(-0.465935\pi\) |
−0.960625 | + | 0.277847i | \(0.910379\pi\) | |||||||
\(674\) | −33.7913 | + | 31.8173i | −1.30159 | + | 1.22556i | ||||
\(675\) | −13.8284 | − | 2.11012i | −0.532257 | − | 0.0812186i | ||||
\(676\) | −1.55402 | + | 25.8013i | −0.0597699 | + | 0.992358i | ||||
\(677\) | −36.6658 | − | 6.46517i | −1.40918 | − | 0.248477i | −0.583270 | − | 0.812278i | \(-0.698227\pi\) |
−0.825910 | + | 0.563802i | \(0.809338\pi\) | |||||||
\(678\) | 5.06088 | + | 7.58333i | 0.194362 | + | 0.291236i | ||||
\(679\) | −2.96740 | + | 5.39252i | −0.113878 | + | 0.206946i | ||||
\(680\) | 3.10107 | + | 8.59949i | 0.118921 | + | 0.329776i | ||||
\(681\) | −7.81369 | − | 9.16765i | −0.299421 | − | 0.351305i | ||||
\(682\) | 14.4106 | + | 7.25517i | 0.551812 | + | 0.277815i | ||||
\(683\) | −0.897882 | − | 1.55518i | −0.0343565 | − | 0.0595072i | 0.848336 | − | 0.529458i | \(-0.177605\pi\) |
−0.882692 | + | 0.469951i | \(0.844272\pi\) | |||||||
\(684\) | −36.3447 | + | 11.4147i | −1.38967 | + | 0.436454i | ||||
\(685\) | −15.1695 | − | 26.2743i | −0.579596 | − | 1.00389i | ||||
\(686\) | −15.6920 | − | 20.9704i | −0.599125 | − | 0.800655i | ||||
\(687\) | −6.11901 | + | 3.59594i | −0.233455 | + | 0.137194i | ||||
\(688\) | 15.1565 | + | 23.2443i | 0.577835 | + | 0.886179i | ||||
\(689\) | 3.12868 | − | 0.551671i | 0.119193 | − | 0.0210170i | ||||
\(690\) | −3.21237 | − | 13.1598i | −0.122293 | − | 0.500984i | ||||
\(691\) | 3.94969 | − | 4.70706i | 0.150253 | − | 0.179065i | −0.685668 | − | 0.727915i | \(-0.740490\pi\) |
0.835921 | + | 0.548850i | \(0.184934\pi\) | |||||||
\(692\) | 9.91524 | − | 15.0106i | 0.376921 | − | 0.570617i | ||||
\(693\) | −35.5681 | + | 32.0927i | −1.35112 | + | 1.21910i | ||||
\(694\) | 40.5037 | + | 12.1697i | 1.53750 | + | 0.461956i | ||||
\(695\) | 5.52211 | − | 2.00988i | 0.209466 | − | 0.0762392i | ||||
\(696\) | −1.31051 | − | 3.54825i | −0.0496747 | − | 0.134496i | ||||
\(697\) | 8.11381 | − | 6.80830i | 0.307332 | − | 0.257883i | ||||
\(698\) | 15.0189 | + | 11.2043i | 0.568474 | + | 0.424089i | ||||
\(699\) | −38.6781 | + | 14.4160i | −1.46294 | + | 0.545264i | ||||
\(700\) | 5.39850 | − | 13.1826i | 0.204044 | − | 0.498257i | ||||
\(701\) | − | 30.0165i | − | 1.13371i | −0.823819 | − | 0.566853i | \(-0.808161\pi\) | ||
0.823819 | − | 0.566853i | \(-0.191839\pi\) | |||||||
\(702\) | 1.96002 | − | 0.510570i | 0.0739763 | − | 0.0192702i | ||||
\(703\) | −33.4394 | − | 19.3062i | −1.26119 | − | 0.728149i | ||||
\(704\) | 8.10205 | + | 47.6006i | 0.305358 | + | 1.79402i | ||||
\(705\) | 2.67854 | − | 15.9062i | 0.100879 | − | 0.599063i | ||||
\(706\) | 12.1587 | + | 28.2639i | 0.457598 | + | 1.06373i | ||||
\(707\) | 1.06870 | + | 52.0216i | 0.0401926 | + | 1.95647i | ||||
\(708\) | 2.50541 | + | 20.4210i | 0.0941592 | + | 0.767468i | ||||
\(709\) | −42.7661 | + | 15.5656i | −1.60611 | + | 0.584578i | −0.980666 | − | 0.195688i | \(-0.937306\pi\) |
−0.625448 | + | 0.780266i | \(0.715084\pi\) | |||||||
\(710\) | −16.8990 | − | 17.9475i | −0.634209 | − | 0.673557i | ||||
\(711\) | 0.259840 | + | 16.8655i | 0.00974475 | + | 0.632505i | ||||
\(712\) | −2.25000 | − | 12.9858i | −0.0843224 | − | 0.486663i | ||||
\(713\) | −2.35334 | − | 6.46575i | −0.0881333 | − | 0.242144i | ||||
\(714\) | −13.7374 | + | 1.17646i | −0.514108 | + | 0.0440278i | ||||
\(715\) | 1.62451 | + | 1.93601i | 0.0607532 | + | 0.0724028i | ||||
\(716\) | −22.9265 | + | 2.63372i | −0.856802 | + | 0.0984267i | ||||
\(717\) | 33.0517 | + | 18.7444i | 1.23434 | + | 0.700024i | ||||
\(718\) | 5.59075 | − | 0.320071i | 0.208645 | − | 0.0119449i | ||||
\(719\) | −2.92643 | + | 5.06873i | −0.109137 | + | 0.189032i | −0.915421 | − | 0.402498i | \(-0.868142\pi\) |
0.806284 | + | 0.591529i | \(0.201476\pi\) | |||||||
\(720\) | 10.1913 | + | 15.1154i | 0.379808 | + | 0.563319i | ||||
\(721\) | 19.7623 | − | 24.5591i | 0.735988 | − | 0.914629i | ||||
\(722\) | 30.0905 | − | 1.72268i | 1.11985 | − | 0.0641116i | ||||
\(723\) | 16.4205 | − | 46.2195i | 0.610684 | − | 1.71892i | ||||
\(724\) | −9.69615 | + | 22.3564i | −0.360355 | + | 0.830869i | ||||
\(725\) | −0.710916 | + | 1.95322i | −0.0264027 | + | 0.0725409i | ||||
\(726\) | −51.8102 | + | 34.5765i | −1.92286 | + | 1.28326i | ||||
\(727\) | 17.5954 | − | 20.9694i | 0.652577 | − | 0.777711i | −0.333723 | − | 0.942671i | \(-0.608305\pi\) |
0.986300 | + | 0.164960i | \(0.0527495\pi\) | |||||||
\(728\) | 0.0362393 | + | 2.06228i | 0.00134312 | + | 0.0764332i | ||||
\(729\) | 14.5659 | + | 22.7340i | 0.539476 | + | 0.842001i | ||||
\(730\) | −1.61545 | − | 1.71568i | −0.0597906 | − | 0.0635001i | ||||
\(731\) | −13.8689 | + | 5.04785i | −0.512958 | + | 0.186702i | ||||
\(732\) | −7.41301 | + | 32.0954i | −0.273993 | + | 1.18628i | ||||
\(733\) | 9.56034 | − | 8.02208i | 0.353119 | − | 0.296302i | −0.448922 | − | 0.893571i | \(-0.648192\pi\) |
0.802041 | + | 0.597269i | \(0.203747\pi\) | |||||||
\(734\) | 48.9712 | + | 5.77306i | 1.80756 | + | 0.213087i | ||||
\(735\) | −14.6704 | − | 11.1374i | −0.541126 | − | 0.410810i | ||||
\(736\) | 11.4007 | − | 17.1485i | 0.420236 | − | 0.632101i | ||||
\(737\) | 24.0941i | 0.887518i | ||||||||
\(738\) | 12.3678 | − | 17.1228i | 0.455267 | − | 0.630298i | ||||
\(739\) | 19.3619i | 0.712238i | 0.934441 | + | 0.356119i | \(0.115900\pi\) | ||||
−0.934441 | + | 0.356119i | \(0.884100\pi\) | |||||||
\(740\) | −4.29686 | + | 17.9712i | −0.157956 | + | 0.660636i | ||||
\(741\) | −3.03100 | + | 0.0233473i | −0.111347 | + | 0.000857684i | ||||
\(742\) | −41.7624 | + | 10.7643i | −1.53315 | + | 0.395171i | ||||
\(743\) | −11.6022 | + | 9.73542i | −0.425644 | + | 0.357158i | −0.830305 | − | 0.557309i | \(-0.811834\pi\) |
0.404661 | + | 0.914467i | \(0.367389\pi\) | |||||||
\(744\) | 5.98567 | + | 7.06526i | 0.219445 | + | 0.259025i | ||||
\(745\) | 4.59461 | − | 26.0574i | 0.168334 | − | 0.954668i | ||||
\(746\) | 12.0362 | + | 51.0099i | 0.440678 | + | 1.86761i | ||||
\(747\) | −12.9632 | + | 23.2737i | −0.474299 | + | 0.851541i | ||||
\(748\) | −25.6350 | − | 1.54400i | −0.937308 | − | 0.0564543i | ||||
\(749\) | −15.5514 | − | 5.30112i | −0.568235 | − | 0.193699i | ||||
\(750\) | 3.13212 | − | 28.4521i | 0.114369 | − | 1.03892i | ||||
\(751\) | −13.6144 | + | 2.40059i | −0.496798 | + | 0.0875989i | −0.416433 | − | 0.909167i | \(-0.636720\pi\) |
−0.0803654 | + | 0.996765i | \(0.525609\pi\) | |||||||
\(752\) | 20.5398 | − | 13.3930i | 0.749008 | − | 0.488392i | ||||
\(753\) | −6.16771 | − | 16.5479i | −0.224764 | − | 0.603040i | ||||
\(754\) | −0.0172020 | − | 0.300471i | −0.000626459 | − | 0.0109425i | ||||
\(755\) | 7.89539 | 0.287342 | ||||||||
\(756\) | −25.9890 | + | 8.97619i | −0.945211 | + | 0.326461i | ||||
\(757\) | 24.5098 | 0.890825 | 0.445413 | − | 0.895325i | \(-0.353057\pi\) | ||||
0.445413 | + | 0.895325i | \(0.353057\pi\) | |||||||
\(758\) | 0.627328 | + | 10.9577i | 0.0227856 | + | 0.398001i | ||||
\(759\) | 37.5271 | + | 6.31939i | 1.36215 | + | 0.229379i | ||||
\(760\) | −9.25472 | − | 25.6640i | −0.335704 | − | 0.930932i | ||||
\(761\) | −49.4722 | + | 8.72328i | −1.79337 | + | 0.316219i | −0.968482 | − | 0.249084i | \(-0.919871\pi\) |
−0.824884 | + | 0.565302i | \(0.808759\pi\) | |||||||
\(762\) | 12.4731 | − | 5.47997i | 0.451853 | − | 0.198518i | ||||
\(763\) | 0.0709024 | + | 0.358843i | 0.00256684 | + | 0.0129910i | ||||
\(764\) | −1.47063 | + | 24.4169i | −0.0532056 | + | 0.883371i | ||||
\(765\) | −9.05917 | + | 3.45622i | −0.327535 | + | 0.124960i | ||||
\(766\) | 4.45809 | + | 18.8935i | 0.161077 | + | 0.682650i | ||||
\(767\) | −0.284264 | + | 1.61214i | −0.0102642 | + | 0.0582110i | ||||
\(768\) | −6.39686 | + | 26.9644i | −0.230827 | + | 0.972995i | ||||
\(769\) | −14.9563 | + | 12.5498i | −0.539339 | + | 0.452559i | −0.871312 | − | 0.490730i | \(-0.836730\pi\) |
0.331973 | + | 0.943289i | \(0.392286\pi\) | |||||||
\(770\) | −24.0270 | − | 24.4898i | −0.865875 | − | 0.882552i | ||||
\(771\) | −1.16241 | − | 1.97801i | −0.0418631 | − | 0.0712362i | ||||
\(772\) | −9.04825 | − | 2.16340i | −0.325653 | − | 0.0778626i | ||||
\(773\) | − | 15.0413i | − | 0.540998i | −0.962720 | − | 0.270499i | \(-0.912811\pi\) | ||
0.962720 | − | 0.270499i | \(-0.0871887\pi\) | |||||||
\(774\) | −24.3547 | + | 16.5262i | −0.875413 | + | 0.594021i | ||||
\(775\) | − | 5.08851i | − | 0.182785i | ||||||
\(776\) | −5.70822 | + | 3.27308i | −0.204913 | + | 0.117497i | ||||
\(777\) | −24.5191 | − | 13.2473i | −0.879616 | − | 0.475246i | ||||
\(778\) | −18.0449 | − | 2.12726i | −0.646941 | − | 0.0762658i | ||||
\(779\) | −24.2146 | + | 20.3184i | −0.867577 | + | 0.727984i | ||||
\(780\) | 0.423956 | + | 1.38717i | 0.0151801 | + | 0.0496687i | ||||
\(781\) | 65.0768 | − | 23.6860i | 2.32863 | − | 0.847552i | ||||
\(782\) | 7.50815 | + | 7.97398i | 0.268491 | + | 0.285149i | ||||
\(783\) | 3.73732 | − | 1.45892i | 0.133561 | − | 0.0521376i | ||||
\(784\) | −2.66433 | − | 27.8730i | −0.0951546 | − | 0.995463i | ||||
\(785\) | −9.14073 | + | 10.8935i | −0.326247 | + | 0.388806i | ||||
\(786\) | −1.80620 | − | 27.7955i | −0.0644249 | − | 0.991433i | ||||
\(787\) | 10.0208 | − | 27.5319i | 0.357203 | − | 0.981407i | −0.622792 | − | 0.782387i | \(-0.714002\pi\) |
0.979995 | − | 0.199020i | \(-0.0637759\pi\) | |||||||
\(788\) | −28.9238 | − | 12.5445i | −1.03037 | − | 0.446878i | ||||
\(789\) | 3.77050 | − | 0.694829i | 0.134233 | − | 0.0247366i | ||||
\(790\) | −12.0599 | + | 0.690430i | −0.429071 | + | 0.0245644i | ||||
\(791\) | −3.55738 | − | 9.18246i | −0.126486 | − | 0.326491i | ||||
\(792\) | −50.3217 | + | 9.51975i | −1.78810 | + | 0.338270i | ||||
\(793\) | −1.31047 | + | 2.26980i | −0.0465362 | + | 0.0806031i | ||||
\(794\) | −54.2388 | + | 3.10518i | −1.92486 | + | 0.110199i | ||||
\(795\) | −26.1481 | + | 15.3664i | −0.927379 | + | 0.544990i | ||||
\(796\) | 2.18703 | + | 19.0381i | 0.0775173 | + | 0.674787i | ||||
\(797\) | 1.89737 | + | 2.26120i | 0.0672083 | + | 0.0800957i | 0.798601 | − | 0.601861i | \(-0.205574\pi\) |
−0.731393 | + | 0.681956i | \(0.761129\pi\) | |||||||
\(798\) | 40.9973 | − | 3.51098i | 1.45129 | − | 0.124287i | ||||
\(799\) | 4.46052 | + | 12.2552i | 0.157802 | + | 0.433558i | ||||
\(800\) | 12.2602 | − | 9.03341i | 0.433464 | − | 0.319379i | ||||
\(801\) | 13.7273 | − | 2.63916i | 0.485032 | − | 0.0932502i | ||||
\(802\) | −16.6254 | − | 17.6569i | −0.587062 | − | 0.623485i | ||||
\(803\) | 6.22098 | − | 2.26425i | 0.219534 | − | 0.0799037i | ||||
\(804\) | −5.40446 | + | 12.7288i | −0.190601 | + | 0.448909i | ||||
\(805\) | 0.300518 | + | 14.6285i | 0.0105919 | + | 0.515585i | ||||
\(806\) | 0.291153 | + | 0.676811i | 0.0102554 | + | 0.0238396i | ||||
\(807\) | 2.62722 | − | 0.979214i | 0.0924827 | − | 0.0344700i | ||||
\(808\) | −27.9555 | + | 48.0900i | −0.983473 | + | 1.69180i | ||||
\(809\) | −18.7926 | − | 10.8499i | −0.660713 | − | 0.381463i | 0.131836 | − | 0.991272i | \(-0.457913\pi\) |
−0.792548 | + | 0.609809i | \(0.791246\pi\) | |||||||
\(810\) | −15.8310 | + | 11.1023i | −0.556245 | + | 0.390094i | ||||
\(811\) | − | 54.1183i | − | 1.90035i | −0.311718 | − | 0.950175i | \(-0.600904\pi\) | ||
0.311718 | − | 0.950175i | \(-0.399096\pi\) | |||||||
\(812\) | 0.549542 | + | 4.04847i | 0.0192851 | + | 0.142074i | ||||
\(813\) | −0.477898 | + | 2.83795i | −0.0167606 | + | 0.0995313i | ||||
\(814\) | −41.6074 | − | 31.0396i | −1.45834 | − | 1.08794i | ||||
\(815\) | 25.9652 | − | 21.7874i | 0.909523 | − | 0.763180i | ||||
\(816\) | −13.1965 | − | 6.56578i | −0.461969 | − | 0.229848i | ||||
\(817\) | 41.3897 | − | 15.0646i | 1.44804 | − | 0.527045i | ||||
\(818\) | −7.00054 | − | 2.10338i | −0.244768 | − | 0.0735429i | ||||
\(819\) | −2.18630 | + | 0.0786224i | −0.0763956 | + | 0.00274729i | ||||
\(820\) | 12.6217 | + | 8.33728i | 0.440769 | + | 0.291150i | ||||
\(821\) | 17.3341 | − | 20.6580i | 0.604964 | − | 0.720969i | −0.373443 | − | 0.927653i | \(-0.621823\pi\) |
0.978408 | + | 0.206684i | \(0.0662674\pi\) | |||||||
\(822\) | 46.9559 | + | 13.7149i | 1.63777 | + | 0.478362i | ||||
\(823\) | 40.2497 | − | 7.09710i | 1.40302 | − | 0.247389i | 0.579633 | − | 0.814877i | \(-0.303196\pi\) |
0.823382 | + | 0.567488i | \(0.192085\pi\) | |||||||
\(824\) | 31.7013 | − | 11.4318i | 1.10437 | − | 0.398246i | ||||
\(825\) | 24.4804 | + | 13.8835i | 0.852299 | + | 0.483361i | ||||
\(826\) | 2.14789 | − | 22.1185i | 0.0747348 | − | 0.769602i | ||||
\(827\) | 15.3314 | + | 26.5548i | 0.533125 | + | 0.923399i | 0.999252 | + | 0.0386814i | \(0.0123157\pi\) |
−0.466127 | + | 0.884718i | \(0.654351\pi\) | |||||||
\(828\) | 18.4078 | + | 11.7560i | 0.639716 | + | 0.408551i | ||||
\(829\) | −10.4725 | − | 18.1389i | −0.363725 | − | 0.629990i | 0.624846 | − | 0.780748i | \(-0.285162\pi\) |
−0.988571 | + | 0.150758i | \(0.951829\pi\) | |||||||
\(830\) | −17.0407 | − | 8.57929i | −0.591491 | − | 0.297791i | ||||
\(831\) | −18.7054 | + | 3.44702i | −0.648881 | + | 0.119576i | ||||
\(832\) | −1.11383 | + | 1.90301i | −0.0386150 | + | 0.0659751i | ||||
\(833\) | 14.7599 | + | 1.98152i | 0.511402 | + | 0.0686556i | ||||
\(834\) | −4.19550 | + | 8.49564i | −0.145278 | + | 0.294180i | ||||
\(835\) | 33.4420 | + | 5.89673i | 1.15731 | + | 0.204065i | ||||
\(836\) | 76.5042 | + | 4.60786i | 2.64595 | + | 0.159366i | ||||
\(837\) | −7.37592 | + | 6.48538i | −0.254949 | + | 0.224167i | ||||
\(838\) | −29.6912 | + | 27.9567i | −1.02567 | + | 0.965749i | ||||
\(839\) | 26.3778 | + | 22.1336i | 0.910663 | + | 0.764137i | 0.972245 | − | 0.233965i | \(-0.0751701\pi\) |
−0.0615820 | + | 0.998102i | \(0.519615\pi\) | |||||||
\(840\) | −7.20010 | − | 18.3272i | −0.248427 | − | 0.632350i | ||||
\(841\) | 4.93228 | + | 27.9723i | 0.170079 | + | 0.964563i | ||||
\(842\) | 33.6334 | − | 14.4685i | 1.15908 | − | 0.498619i | ||||
\(843\) | 23.3740 | + | 8.30412i | 0.805044 | + | 0.286009i | ||||
\(844\) | 5.73547 | − | 23.9881i | 0.197423 | − | 0.825705i | ||||
\(845\) | − | 19.6339i | − | 0.675428i | ||||||
\(846\) | 14.6033 | + | 21.5210i | 0.502072 | + | 0.739908i | ||||
\(847\) | 62.7357 | − | 24.3044i | 2.15562 | − | 0.835111i | ||||
\(848\) | −44.1155 | − | 13.3979i | −1.51493 | − | 0.460085i | ||||
\(849\) | −22.3260 | + | 39.3669i | −0.766226 | + | 1.35107i | ||||
\(850\) | 3.20077 | + | 7.44046i | 0.109786 | + | 0.255206i | ||||
\(851\) | 3.84426 | + | 21.8019i | 0.131779 | + | 0.747358i | ||||
\(852\) | 39.6925 | + | 2.08398i | 1.35984 | + | 0.0713959i | ||||
\(853\) | −53.1130 | + | 19.3315i | −1.81855 | + | 0.661900i | −0.822964 | + | 0.568094i | \(0.807681\pi\) |
−0.995591 | + | 0.0938057i | \(0.970097\pi\) | |||||||
\(854\) | 15.3435 | − | 32.1012i | 0.525043 | − | 1.09848i | ||||
\(855\) | 27.0359 | − | 10.3146i | 0.924607 | − | 0.352752i | ||||
\(856\) | −11.2502 | − | 13.4886i | −0.384525 | − | 0.461032i | ||||
\(857\) | 16.2910 | − | 19.4148i | 0.556488 | − | 0.663197i | −0.412311 | − | 0.911043i | \(-0.635278\pi\) |
0.968799 | + | 0.247846i | \(0.0797227\pi\) | |||||||
\(858\) | −4.05046 | − | 0.445891i | −0.138281 | − | 0.0152225i | ||||
\(859\) | −31.2348 | + | 5.50754i | −1.06572 | + | 0.187915i | −0.678892 | − | 0.734238i | \(-0.737540\pi\) |
−0.386826 | + | 0.922153i | \(0.626428\pi\) | |||||||
\(860\) | −12.5534 | − | 16.9320i | −0.428067 | − | 0.577377i | ||||
\(861\) | −17.0560 | + | 15.1527i | −0.581267 | + | 0.516403i | ||||
\(862\) | −8.63305 | + | 17.1475i | −0.294043 | + | 0.584045i | ||||
\(863\) | −16.8558 | − | 29.1951i | −0.573778 | − | 0.993813i | −0.996173 | − | 0.0874008i | \(-0.972144\pi\) |
0.422395 | − | 0.906412i | \(-0.361189\pi\) | |||||||
\(864\) | −28.7199 | − | 6.25825i | −0.977072 | − | 0.212910i | ||||
\(865\) | −6.83240 | + | 11.8341i | −0.232309 | + | 0.402370i | ||||
\(866\) | 23.2060 | − | 1.32855i | 0.788572 | − | 0.0451458i | ||||
\(867\) | −13.7597 | + | 16.6571i | −0.467305 | + | 0.565705i | ||||
\(868\) | −4.65393 | − | 8.85313i | −0.157965 | − | 0.300495i | ||||
\(869\) | 11.6066 | − | 31.8889i | 0.393727 | − | 1.08176i | ||||
\(870\) | 1.15569 | + | 2.63050i | 0.0391816 | + | 0.0891822i | ||||
\(871\) | −0.707253 | + | 0.842872i | −0.0239644 | + | 0.0285596i | ||||
\(872\) | −0.134833 | + | 0.367055i | −0.00456602 | + | 0.0124301i | ||||
\(873\) | −3.58228 | − | 5.98967i | −0.121242 | − | 0.202720i | ||||
\(874\) | −22.4071 | − | 23.7973i | −0.757930 | − | 0.804954i | ||||
\(875\) | −9.97542 | + | 29.2639i | −0.337231 | + | 0.989300i | ||||
\(876\) | 3.79439 | + | 0.199217i | 0.128200 | + | 0.00673091i | ||||
\(877\) | 22.5989 | + | 8.22531i | 0.763109 | + | 0.277749i | 0.694111 | − | 0.719868i | \(-0.255798\pi\) |
0.0689980 | + | 0.997617i | \(0.478020\pi\) | |||||||
\(878\) | 1.81664 | + | 4.22292i | 0.0613085 | + | 0.142517i | ||||
\(879\) | 17.7643 | − | 31.3234i | 0.599174 | − | 1.05651i | ||||
\(880\) | −8.31691 | − | 35.7216i | −0.280363 | − | 1.20417i | ||||
\(881\) | −25.9683 | + | 14.9928i | −0.874895 | + | 0.505121i | −0.868972 | − | 0.494861i | \(-0.835219\pi\) |
−0.00592333 | + | 0.999982i | \(0.501885\pi\) | |||||||
\(882\) | 29.5068 | − | 3.36868i | 0.993546 | − | 0.113429i | ||||
\(883\) | 2.49450 | + | 1.44020i | 0.0839465 | + | 0.0484665i | 0.541386 | − | 0.840774i | \(-0.317900\pi\) |
−0.457439 | + | 0.889241i | \(0.651233\pi\) | |||||||
\(884\) | −0.851453 | − | 0.806497i | −0.0286375 | − | 0.0271254i | ||||
\(885\) | −2.83222 | − | 15.3691i | −0.0952041 | − | 0.516627i | ||||
\(886\) | 17.8580 | + | 13.3223i | 0.599952 | + | 0.447572i | ||||
\(887\) | 29.2878 | − | 24.5753i | 0.983387 | − | 0.825159i | −0.00121029 | − | 0.999999i | \(-0.500385\pi\) |
0.984597 | + | 0.174840i | \(0.0559408\pi\) | |||||||
\(888\) | −15.0185 | − | 25.7308i | −0.503988 | − | 0.863469i | ||||
\(889\) | −14.4363 | + | 2.85241i | −0.484178 | + | 0.0956669i | ||||
\(890\) | 2.29902 | + | 9.74329i | 0.0770633 | + | 0.326596i | ||||
\(891\) | −11.0762 | − | 53.1796i | −0.371067 | − | 1.78158i | ||||
\(892\) | −42.4667 | − | 2.55778i | −1.42189 | − | 0.0856406i | ||||
\(893\) | −13.3118 | − | 36.5740i | −0.445464 | − | 1.22390i | ||||
\(894\) | 23.6821 | + | 35.4857i | 0.792048 | + | 1.18682i | ||||
\(895\) | 17.2629 | − | 3.04392i | 0.577037 | − | 0.101747i | ||||
\(896\) | 13.0687 | − | 26.9297i | 0.436595 | − | 0.899658i | ||||
\(897\) | 1.12729 | + | 1.32263i | 0.0376392 | + | 0.0441613i | ||||
\(898\) | −23.8704 | + | 15.6659i | −0.796564 | + | 0.522779i | ||||
\(899\) | 0.729707 | + | 1.26389i | 0.0243371 | + | 0.0421531i | ||||
\(900\) | 9.81870 | + | 12.8257i | 0.327290 | + | 0.427522i | ||||
\(901\) | 12.2610 | − | 21.2366i | 0.408472 | − | 0.707493i | ||||
\(902\) | −35.5277 | + | 23.3166i | −1.18294 | + | 0.776358i | ||||
\(903\) | 29.5545 | − | 11.7123i | 0.983511 | − | 0.389761i | ||||
\(904\) | 1.85884 | − | 10.3620i | 0.0618242 | − | 0.344634i | ||||
\(905\) | 6.33082 | − | 17.3938i | 0.210444 | − | 0.578189i | ||||
\(906\) | −9.20085 | + | 8.79804i | −0.305678 | + | 0.292295i | ||||
\(907\) | −39.8748 | − | 7.03100i | −1.32402 | − | 0.233461i | −0.533450 | − | 0.845831i | \(-0.679105\pi\) |
−0.790571 | + | 0.612371i | \(0.790216\pi\) | |||||||
\(908\) | −0.836239 | + | 13.8840i | −0.0277516 | + | 0.460758i | ||||
\(909\) | −51.5434 | − | 28.7091i | −1.70959 | − | 0.952221i | ||||
\(910\) | −0.121656 | − | 1.56200i | −0.00403287 | − | 0.0517798i | ||||
\(911\) | −0.419243 | + | 2.37765i | −0.0138901 | + | 0.0787749i | −0.990965 | − | 0.134122i | \(-0.957179\pi\) |
0.977075 | + | 0.212897i | \(0.0682898\pi\) | |||||||
\(912\) | 39.3831 | + | 19.5947i | 1.30410 | + | 0.648845i | ||||
\(913\) | 41.0580 | − | 34.4518i | 1.35882 | − | 1.14019i | ||||
\(914\) | 2.89734 | − | 24.5773i | 0.0958356 | − | 0.812946i | ||||
\(915\) | 4.15495 | − | 24.6738i | 0.137358 | − | 0.815689i | ||||
\(916\) | 7.97071 | + | 1.90577i | 0.263360 | + | 0.0629684i | ||||
\(917\) | −4.61471 | + | 29.7299i | −0.152391 | + | 0.981767i | ||||
\(918\) | 6.70570 | − | 14.1226i | 0.221321 | − | 0.466114i | ||||
\(919\) | −13.5310 | + | 7.81214i | −0.446347 | + | 0.257699i | −0.706286 | − | 0.707926i | \(-0.749631\pi\) |
0.259939 | + | 0.965625i | \(0.416298\pi\) | |||||||
\(920\) | −7.86109 | + | 13.5229i | −0.259172 | + | 0.445837i | ||||
\(921\) | 9.66481 | − | 57.3936i | 0.318466 | − | 1.89118i | ||||
\(922\) | −4.72292 | + | 6.33089i | −0.155541 | + | 0.208497i | ||||
\(923\) | 2.97182 | + | 1.08165i | 0.0978187 | + | 0.0356031i | ||||
\(924\) | 55.2895 | + | 1.76513i | 1.81889 | + | 0.0580685i | ||||
\(925\) | −2.84296 | + | 16.1232i | −0.0934758 | + | 0.530128i | ||||
\(926\) | 10.9869 | − | 2.59246i | 0.361052 | − | 0.0851935i | ||||
\(927\) | 12.7410 | + | 33.3958i | 0.418471 | + | 1.09686i | ||||
\(928\) | −1.74978 | + | 4.00187i | −0.0574395 | + | 0.131368i | ||||
\(929\) | −20.6139 | + | 24.5666i | −0.676318 | + | 0.806005i | −0.989629 | − | 0.143646i | \(-0.954117\pi\) |
0.313311 | + | 0.949651i | \(0.398562\pi\) | |||||||
\(930\) | −4.86108 | − | 5.08364i | −0.159401 | − | 0.166699i | ||||
\(931\) | −44.0490 | − | 5.91358i | −1.44365 | − | 0.193810i | ||||
\(932\) | 43.7274 | + | 18.9649i | 1.43234 | + | 0.621218i | ||||
\(933\) | 20.8485 | + | 11.8237i | 0.682549 | + | 0.387091i | ||||
\(934\) | 25.5933 | − | 1.46522i | 0.837439 | − | 0.0479435i | ||||
\(935\) | 19.5074 | 0.637960 | ||||||||
\(936\) | −2.03982 | − | 1.14411i | −0.0666735 | − | 0.0373963i | ||||
\(937\) | 3.69865 | − | 6.40624i | 0.120830 | − | 0.209283i | −0.799266 | − | 0.600978i | \(-0.794778\pi\) |
0.920095 | + | 0.391695i | \(0.128111\pi\) | |||||||
\(938\) | 8.68358 | − | 12.1530i | 0.283529 | − | 0.396811i | ||||
\(939\) | −30.3537 | + | 5.59359i | −0.990557 | + | 0.182540i | ||||
\(940\) | −14.9620 | + | 11.0928i | −0.488005 | + | 0.361807i | ||||
\(941\) | −11.7841 | + | 32.3766i | −0.384152 | + | 1.05545i | 0.585439 | + | 0.810716i | \(0.300922\pi\) |
−0.969591 | + | 0.244732i | \(0.921300\pi\) | |||||||
\(942\) | −1.48681 | − | 22.8805i | −0.0484429 | − | 0.745486i | ||||
\(943\) | 17.8480 | + | 3.14708i | 0.581210 | + | 0.102483i | ||||
\(944\) | 14.2620 | − | 18.9997i | 0.464189 | − | 0.618386i | ||||
\(945\) | 19.2954 | − | 7.99275i | 0.627678 | − | 0.260004i | ||||
\(946\) | 57.6319 | − | 13.5988i | 1.87378 | − | 0.442134i | ||||
\(947\) | −5.56281 | + | 31.5483i | −0.180767 | + | 1.02518i | 0.750507 | + | 0.660862i | \(0.229809\pi\) |
−0.931274 | + | 0.364318i | \(0.881302\pi\) | |||||||
\(948\) | 13.2846 | − | 14.2432i | 0.431463 | − | 0.462599i | ||||
\(949\) | 0.284090 | + | 0.103400i | 0.00922194 | + | 0.00335651i | ||||
\(950\) | −9.55227 | − | 22.2051i | −0.309916 | − | 0.720427i | ||||
\(951\) | 25.2188 | + | 8.95951i | 0.817775 | + | 0.290532i | ||||
\(952\) | 12.3738 | + | 10.0177i | 0.401037 | + | 0.324676i | ||||
\(953\) | −25.3882 | − | 14.6579i | −0.822406 | − | 0.474816i | 0.0288395 | − | 0.999584i | \(-0.490819\pi\) |
−0.851245 | + | 0.524768i | \(0.824152\pi\) | |||||||
\(954\) | 13.3484 | − | 47.0447i | 0.432172 | − | 1.52313i | ||||
\(955\) | − | 18.5804i | − | 0.601248i | ||||||
\(956\) | −12.5003 | − | 42.0567i | −0.404287 | − | 1.36021i | ||||
\(957\) | −8.07140 | + | 0.0621727i | −0.260911 | + | 0.00200976i | ||||
\(958\) | 0.820400 | + | 0.612028i | 0.0265059 | + | 0.0197737i | ||||
\(959\) | −46.2914 | − | 25.4732i | −1.49483 | − | 0.822574i | ||||
\(960\) | 3.61881 | − | 20.7370i | 0.116797 | − | 0.669284i | ||||
\(961\) | 21.0105 | + | 17.6299i | 0.677758 | + | 0.568706i | ||||
\(962\) | −0.544399 | − | 2.30718i | −0.0175521 | − | 0.0743863i | ||||
\(963\) | 14.0852 | − | 12.1935i | 0.453889 | − | 0.392931i | ||||
\(964\) | −50.6636 | + | 25.3187i | −1.63176 | + | 0.815461i | ||||
\(965\) | 6.95932 | + | 1.22712i | 0.224029 | + | 0.0395023i | ||||
\(966\) | −16.6511 | − | 16.7123i | −0.535740 | − | 0.537711i | ||||
\(967\) | 14.2066 | − | 39.0323i | 0.456854 | − | 1.25520i | −0.470961 | − | 0.882154i | \(-0.656093\pi\) |
0.927815 | − | 0.373041i | \(-0.121685\pi\) | |||||||
\(968\) | 70.7942 | + | 12.6998i | 2.27541 | + | 0.408188i | ||||
\(969\) | −14.9002 | + | 18.0377i | −0.478664 | + | 0.579456i | ||||
\(970\) | 4.17859 | − | 2.74238i | 0.134167 | − | 0.0880526i | ||||
\(971\) | −18.7817 | − | 32.5309i | −0.602734 | − | 1.04397i | −0.992405 | − | 0.123012i | \(-0.960745\pi\) |
0.389671 | − | 0.920954i | \(-0.372589\pi\) | |||||||
\(972\) | 6.07704 | − | 30.5789i | 0.194921 | − | 0.980819i | ||||
\(973\) | 6.41608 | − | 7.97340i | 0.205690 | − | 0.255616i | ||||
\(974\) | −28.0607 | − | 14.1274i | −0.899124 | − | 0.452672i | ||||
\(975\) | 0.448854 | + | 1.20427i | 0.0143748 | + | 0.0385676i | ||||
\(976\) | 31.8613 | − | 20.7752i | 1.01986 | − | 0.664999i | ||||
\(977\) | −6.14933 | − | 7.32848i | −0.196734 | − | 0.234459i | 0.658654 | − | 0.752446i | \(-0.271126\pi\) |
−0.855389 | + | 0.517987i | \(0.826682\pi\) | |||||||
\(978\) | −5.98016 | + | 54.3236i | −0.191225 | + | 1.73708i | ||||
\(979\) | −27.6963 | − | 4.88361i | −0.885179 | − | 0.156081i | ||||
\(980\) | 3.29303 | + | 21.0121i | 0.105192 | + | 0.671205i | ||||
\(981\) | −0.391883 | − | 0.135834i | −0.0125118 | − | 0.00433686i | ||||
\(982\) | −38.5498 | − | 11.5826i | −1.23017 | − | 0.369617i | ||||
\(983\) | 0.293808 | − | 1.66627i | 0.00937102 | − | 0.0531457i | −0.979764 | − | 0.200158i | \(-0.935855\pi\) |
0.989135 | + | 0.147012i | \(0.0469656\pi\) | |||||||
\(984\) | −23.9991 | + | 4.34891i | −0.765064 | + | 0.138638i | ||||
\(985\) | 22.5033 | + | 8.19055i | 0.717016 | + | 0.260973i | ||||
\(986\) | −1.86199 | − | 1.38907i | −0.0592979 | − | 0.0442370i | ||||
\(987\) | −10.3496 | − | 26.1157i | −0.329430 | − | 0.831273i | ||||
\(988\) | 2.54105 | + | 2.40688i | 0.0808415 | + | 0.0765731i | ||||
\(989\) | −21.8702 | − | 12.6267i | −0.695431 | − | 0.401507i | ||||
\(990\) | 37.7200 | − | 9.51609i | 1.19882 | − | 0.302441i | ||||
\(991\) | 17.2339 | − | 9.94999i | 0.547452 | − | 0.316072i | −0.200641 | − | 0.979665i | \(-0.564303\pi\) |
0.748094 | + | 0.663593i | \(0.230969\pi\) | |||||||
\(992\) | 0.674537 | − | 10.6711i | 0.0214166 | − | 0.338809i | ||||
\(993\) | −14.7226 | − | 5.23050i | −0.467206 | − | 0.165985i | ||||
\(994\) | −41.3612 | − | 11.5066i | −1.31190 | − | 0.364968i | ||||
\(995\) | −2.52767 | − | 14.3351i | −0.0801324 | − | 0.454453i | ||||
\(996\) | 29.4184 | − | 8.99106i | 0.932158 | − | 0.284893i | ||||
\(997\) | 56.8521 | − | 20.6925i | 1.80052 | − | 0.655337i | 0.802225 | − | 0.597022i | \(-0.203650\pi\) |
0.998298 | − | 0.0583147i | \(-0.0185727\pi\) | |||||||
\(998\) | −7.08942 | + | 23.5953i | −0.224412 | + | 0.746895i | ||||
\(999\) | 26.9943 | − | 16.4283i | 0.854063 | − | 0.519769i |
(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 | 756.2.bs.a.11.4 | ✓ | 840 | |
4.3 | odd | 2 | inner | 756.2.bs.a.11.18 | yes | 840 | |
7.2 | even | 3 | 756.2.ci.a.443.96 | yes | 840 | ||
27.5 | odd | 18 | 756.2.ci.a.599.76 | yes | 840 | ||
28.23 | odd | 6 | 756.2.ci.a.443.76 | yes | 840 | ||
108.59 | even | 18 | 756.2.ci.a.599.96 | yes | 840 | ||
189.86 | odd | 18 | inner | 756.2.bs.a.275.18 | yes | 840 | |
756.275 | even | 18 | inner | 756.2.bs.a.275.4 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.bs.a.11.4 | ✓ | 840 | 1.1 | even | 1 | trivial | |
756.2.bs.a.11.18 | yes | 840 | 4.3 | odd | 2 | inner | |
756.2.bs.a.275.4 | yes | 840 | 756.275 | even | 18 | inner | |
756.2.bs.a.275.18 | yes | 840 | 189.86 | odd | 18 | inner | |
756.2.ci.a.443.76 | yes | 840 | 28.23 | odd | 6 | ||
756.2.ci.a.443.96 | yes | 840 | 7.2 | even | 3 | ||
756.2.ci.a.599.76 | yes | 840 | 27.5 | odd | 18 | ||
756.2.ci.a.599.96 | yes | 840 | 108.59 | even | 18 |