Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(37,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.w (of order \(12\), degree \(4\), 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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 37.7 | ||
Character | \(\chi\) | \(=\) | 112.37 |
Dual form | 112.2.w.c.109.7 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.236566 | + | 1.39429i | 0.167278 | + | 0.985910i | ||||
\(3\) | 0.827840 | + | 0.221819i | 0.477954 | + | 0.128067i | 0.489750 | − | 0.871863i | \(-0.337088\pi\) |
−0.0117959 | + | 0.999930i | \(0.503755\pi\) | |||||||
\(4\) | −1.88807 | + | 0.659683i | −0.944036 | + | 0.329841i | ||||
\(5\) | 4.10878 | − | 1.10095i | 1.83750 | − | 0.492358i | 0.838857 | − | 0.544352i | \(-0.183225\pi\) |
0.998647 | + | 0.0519945i | \(0.0165578\pi\) | |||||||
\(6\) | −0.113440 | + | 1.20672i | −0.0463118 | + | 0.492642i | ||||
\(7\) | −2.50325 | + | 0.856573i | −0.946141 | + | 0.323754i | ||||
\(8\) | −1.36644 | − | 2.47646i | −0.483110 | − | 0.875560i | ||||
\(9\) | −1.96196 | − | 1.13274i | −0.653987 | − | 0.377579i | ||||
\(10\) | 2.50703 | + | 5.46838i | 0.792794 | + | 1.72925i | ||||
\(11\) | −0.318576 | + | 1.18894i | −0.0960542 | + | 0.358479i | −0.997177 | − | 0.0750845i | \(-0.976077\pi\) |
0.901123 | + | 0.433564i | \(0.142744\pi\) | |||||||
\(12\) | −1.70935 | + | 0.127301i | −0.493448 | + | 0.0367488i | ||||
\(13\) | −1.73092 | + | 1.73092i | −0.480070 | + | 0.480070i | −0.905154 | − | 0.425084i | \(-0.860245\pi\) |
0.425084 | + | 0.905154i | \(0.360245\pi\) | |||||||
\(14\) | −1.78649 | − | 3.28762i | −0.477461 | − | 0.878653i | ||||
\(15\) | 3.64563 | 0.941297 | ||||||||
\(16\) | 3.12964 | − | 2.49106i | 0.782409 | − | 0.622765i | ||||
\(17\) | −0.931914 | − | 1.61412i | −0.226022 | − | 0.391482i | 0.730603 | − | 0.682802i | \(-0.239239\pi\) |
−0.956626 | + | 0.291320i | \(0.905906\pi\) | |||||||
\(18\) | 1.11523 | − | 3.00350i | 0.262862 | − | 0.707933i | ||||
\(19\) | −0.989804 | − | 3.69400i | −0.227077 | − | 0.847462i | −0.981562 | − | 0.191145i | \(-0.938780\pi\) |
0.754485 | − | 0.656317i | \(-0.227887\pi\) | |||||||
\(20\) | −7.03141 | + | 4.78916i | −1.57227 | + | 1.07089i | ||||
\(21\) | −2.26230 | + | 0.153836i | −0.493674 | + | 0.0335697i | ||||
\(22\) | −1.73309 | − | 0.162922i | −0.369496 | − | 0.0347352i | ||||
\(23\) | 1.23305 | + | 0.711901i | 0.257108 | + | 0.148442i | 0.623015 | − | 0.782210i | \(-0.285908\pi\) |
−0.365906 | + | 0.930652i | \(0.619241\pi\) | |||||||
\(24\) | −0.581870 | − | 2.35321i | −0.118774 | − | 0.480348i | ||||
\(25\) | 11.3399 | − | 6.54709i | 2.26798 | − | 1.30942i | ||||
\(26\) | −2.82287 | − | 2.00392i | −0.553611 | − | 0.393001i | ||||
\(27\) | −3.19099 | − | 3.19099i | −0.614106 | − | 0.614106i | ||||
\(28\) | 4.16126 | − | 3.26863i | 0.786404 | − | 0.617712i | ||||
\(29\) | −0.181826 | + | 0.181826i | −0.0337642 | + | 0.0337642i | −0.723787 | − | 0.690023i | \(-0.757600\pi\) |
0.690023 | + | 0.723787i | \(0.257600\pi\) | |||||||
\(30\) | 0.862433 | + | 5.08305i | 0.157458 | + | 0.928034i | ||||
\(31\) | 3.23200 | + | 5.59799i | 0.580485 | + | 1.00543i | 0.995422 | + | 0.0955792i | \(0.0304703\pi\) |
−0.414937 | + | 0.909850i | \(0.636196\pi\) | |||||||
\(32\) | 4.21362 | + | 3.77431i | 0.744869 | + | 0.667210i | ||||
\(33\) | −0.527459 | + | 0.913587i | −0.0918189 | + | 0.159035i | ||||
\(34\) | 2.03009 | − | 1.68120i | 0.348157 | − | 0.288324i | ||||
\(35\) | −9.34229 | + | 6.27542i | −1.57914 | + | 1.06074i | ||||
\(36\) | 4.45157 | + | 0.844420i | 0.741929 | + | 0.140737i | ||||
\(37\) | 0.238000 | − | 0.0637719i | 0.0391269 | − | 0.0104840i | −0.239202 | − | 0.970970i | \(-0.576886\pi\) |
0.278329 | + | 0.960486i | \(0.410219\pi\) | |||||||
\(38\) | 4.91634 | − | 2.25395i | 0.797536 | − | 0.365639i | ||||
\(39\) | −1.81687 | + | 1.04897i | −0.290933 | + | 0.167970i | ||||
\(40\) | −8.34086 | − | 8.67085i | −1.31881 | − | 1.37098i | ||||
\(41\) | 0.440182i | 0.0687448i | 0.999409 | + | 0.0343724i | \(0.0109432\pi\) | ||||
−0.999409 | + | 0.0343724i | \(0.989057\pi\) | |||||||
\(42\) | −0.749675 | − | 3.11790i | −0.115677 | − | 0.481103i | ||||
\(43\) | −5.54503 | − | 5.54503i | −0.845609 | − | 0.845609i | 0.143972 | − | 0.989582i | \(-0.454012\pi\) |
−0.989582 | + | 0.143972i | \(0.954012\pi\) | |||||||
\(44\) | −0.182830 | − | 2.45496i | −0.0275626 | − | 0.370100i | ||||
\(45\) | −9.30835 | − | 2.49417i | −1.38761 | − | 0.371808i | ||||
\(46\) | −0.700896 | + | 1.88763i | −0.103341 | + | 0.278317i | ||||
\(47\) | −3.61427 | + | 6.26009i | −0.527195 | + | 0.913128i | 0.472303 | + | 0.881436i | \(0.343423\pi\) |
−0.999498 | + | 0.0316918i | \(0.989910\pi\) | |||||||
\(48\) | 3.14340 | − | 1.36799i | 0.453711 | − | 0.197452i | ||||
\(49\) | 5.53257 | − | 4.28844i | 0.790366 | − | 0.612634i | ||||
\(50\) | 11.8112 | + | 14.2623i | 1.67035 | + | 2.01699i | ||||
\(51\) | −0.413433 | − | 1.54295i | −0.0578921 | − | 0.216056i | ||||
\(52\) | 2.12624 | − | 4.40996i | 0.294857 | − | 0.611551i | ||||
\(53\) | −2.59716 | + | 9.69274i | −0.356747 | + | 1.33140i | 0.521524 | + | 0.853237i | \(0.325364\pi\) |
−0.878271 | + | 0.478163i | \(0.841303\pi\) | |||||||
\(54\) | 3.69428 | − | 5.20404i | 0.502727 | − | 0.708180i | ||||
\(55\) | 5.23583i | 0.706000i | ||||||||
\(56\) | 5.54182 | + | 5.02874i | 0.740557 | + | 0.671994i | ||||
\(57\) | − | 3.27760i | − | 0.434129i | ||||||
\(58\) | −0.296532 | − | 0.210504i | −0.0389365 | − | 0.0276405i | ||||
\(59\) | −0.438601 | + | 1.63688i | −0.0571010 | + | 0.213104i | −0.988581 | − | 0.150688i | \(-0.951851\pi\) |
0.931480 | + | 0.363791i | \(0.118518\pi\) | |||||||
\(60\) | −6.88321 | + | 2.40496i | −0.888619 | + | 0.310479i | ||||
\(61\) | 2.41596 | + | 9.01647i | 0.309331 | + | 1.15444i | 0.929152 | + | 0.369697i | \(0.120539\pi\) |
−0.619821 | + | 0.784743i | \(0.712795\pi\) | |||||||
\(62\) | −7.04063 | + | 5.83064i | −0.894161 | + | 0.740492i | ||||
\(63\) | 5.88156 | + | 1.15497i | 0.741007 | + | 0.145513i | ||||
\(64\) | −4.26567 | + | 6.76787i | −0.533209 | + | 0.845984i | ||||
\(65\) | −5.20632 | + | 9.01761i | −0.645765 | + | 1.11850i | ||||
\(66\) | −1.39858 | − | 0.519306i | −0.172153 | − | 0.0639222i | ||||
\(67\) | 9.59422 | + | 2.57076i | 1.17212 | + | 0.314069i | 0.791797 | − | 0.610785i | \(-0.209146\pi\) |
0.380324 | + | 0.924853i | \(0.375813\pi\) | |||||||
\(68\) | 2.82433 | + | 2.43281i | 0.342500 | + | 0.295022i | ||||
\(69\) | 0.862854 | + | 0.862854i | 0.103875 | + | 0.103875i | ||||
\(70\) | −10.9598 | − | 11.5413i | −1.30995 | − | 1.37945i | ||||
\(71\) | − | 11.2912i | − | 1.34002i | −0.742352 | − | 0.670010i | \(-0.766290\pi\) | ||
0.742352 | − | 0.670010i | \(-0.233710\pi\) | |||||||
\(72\) | −0.124272 | + | 6.40653i | −0.0146456 | + | 0.755017i | ||||
\(73\) | −8.13092 | + | 4.69439i | −0.951652 | + | 0.549437i | −0.893594 | − | 0.448877i | \(-0.851824\pi\) |
−0.0580583 | + | 0.998313i | \(0.518491\pi\) | |||||||
\(74\) | 0.145219 | + | 0.316754i | 0.0168814 | + | 0.0368219i | ||||
\(75\) | 10.8399 | − | 2.90454i | 1.25168 | − | 0.335388i | ||||
\(76\) | 4.30569 | + | 6.32158i | 0.493897 | + | 0.725135i | ||||
\(77\) | −0.220938 | − | 3.24910i | −0.0251783 | − | 0.370270i | ||||
\(78\) | −1.89238 | − | 2.28509i | −0.214270 | − | 0.258736i | ||||
\(79\) | 6.52948 | − | 11.3094i | 0.734624 | − | 1.27241i | −0.220264 | − | 0.975440i | \(-0.570692\pi\) |
0.954888 | − | 0.296966i | \(-0.0959747\pi\) | |||||||
\(80\) | 10.1165 | − | 13.6808i | 1.13106 | − | 1.52956i | ||||
\(81\) | 1.46441 | + | 2.53643i | 0.162712 | + | 0.281825i | ||||
\(82\) | −0.613739 | + | 0.104132i | −0.0677762 | + | 0.0114995i | ||||
\(83\) | −3.06926 | + | 3.06926i | −0.336895 | + | 0.336895i | −0.855198 | − | 0.518302i | \(-0.826564\pi\) |
0.518302 | + | 0.855198i | \(0.326564\pi\) | |||||||
\(84\) | 4.16990 | − | 1.78285i | 0.454974 | − | 0.194525i | ||||
\(85\) | −5.60609 | − | 5.60609i | −0.608066 | − | 0.608066i | ||||
\(86\) | 6.41960 | − | 9.04313i | 0.692243 | − | 0.975146i | ||||
\(87\) | −0.190855 | + | 0.110190i | −0.0204618 | + | 0.0118137i | ||||
\(88\) | 3.37967 | − | 0.835679i | 0.360274 | − | 0.0890837i | ||||
\(89\) | −5.66084 | − | 3.26829i | −0.600047 | − | 0.346438i | 0.169013 | − | 0.985614i | \(-0.445942\pi\) |
−0.769060 | + | 0.639176i | \(0.779275\pi\) | |||||||
\(90\) | 1.27554 | − | 13.5686i | 0.134454 | − | 1.43025i | ||||
\(91\) | 2.85027 | − | 5.81558i | 0.298789 | − | 0.609639i | ||||
\(92\) | −2.79771 | − | 0.530699i | −0.291682 | − | 0.0553292i | ||||
\(93\) | 1.43384 | + | 5.35117i | 0.148682 | + | 0.554890i | ||||
\(94\) | −9.58338 | − | 3.55840i | −0.988450 | − | 0.367021i | ||||
\(95\) | −8.13378 | − | 14.0881i | −0.834508 | − | 1.44541i | ||||
\(96\) | 2.65099 | + | 4.05919i | 0.270565 | + | 0.414289i | ||||
\(97\) | 1.70409 | 0.173024 | 0.0865122 | − | 0.996251i | \(-0.472428\pi\) | ||||
0.0865122 | + | 0.996251i | \(0.472428\pi\) | |||||||
\(98\) | 7.28814 | + | 6.69948i | 0.736213 | + | 0.676750i | ||||
\(99\) | 1.97179 | − | 1.97179i | 0.198172 | − | 0.198172i | ||||
\(100\) | −17.0915 | + | 19.8421i | −1.70915 | + | 1.98421i | ||||
\(101\) | 0.632838 | − | 2.36178i | 0.0629697 | − | 0.235006i | −0.927267 | − | 0.374400i | \(-0.877849\pi\) |
0.990237 | + | 0.139394i | \(0.0445154\pi\) | |||||||
\(102\) | 2.05351 | − | 0.941454i | 0.203328 | − | 0.0932178i | ||||
\(103\) | 12.6328 | + | 7.29353i | 1.24474 | + | 0.718653i | 0.970056 | − | 0.242881i | \(-0.0780923\pi\) |
0.274687 | + | 0.961534i | \(0.411426\pi\) | |||||||
\(104\) | 6.65174 | + | 1.92134i | 0.652257 | + | 0.188403i | ||||
\(105\) | −9.12593 | + | 3.12275i | −0.890600 | + | 0.304749i | ||||
\(106\) | −14.1289 | − | 1.32821i | −1.37232 | − | 0.129007i | ||||
\(107\) | −4.80256 | + | 1.28684i | −0.464281 | + | 0.124404i | −0.483374 | − | 0.875414i | \(-0.660589\pi\) |
0.0190927 | + | 0.999818i | \(0.493922\pi\) | |||||||
\(108\) | 8.12986 | + | 3.91978i | 0.782296 | + | 0.377181i | ||||
\(109\) | −9.76613 | − | 2.61683i | −0.935426 | − | 0.250647i | −0.241259 | − | 0.970461i | \(-0.577560\pi\) |
−0.694167 | + | 0.719814i | \(0.744227\pi\) | |||||||
\(110\) | −7.30026 | + | 1.23862i | −0.696052 | + | 0.118098i | ||||
\(111\) | 0.211172 | 0.0200435 | ||||||||
\(112\) | −5.70050 | + | 8.91652i | −0.538647 | + | 0.842532i | ||||
\(113\) | 5.22780 | 0.491791 | 0.245895 | − | 0.969296i | \(-0.420918\pi\) | ||||
0.245895 | + | 0.969296i | \(0.420918\pi\) | |||||||
\(114\) | 4.56991 | − | 0.775370i | 0.428012 | − | 0.0726200i | ||||
\(115\) | 5.85009 | + | 1.56753i | 0.545524 | + | 0.146173i | ||||
\(116\) | 0.223353 | − | 0.463248i | 0.0207378 | − | 0.0430115i | ||||
\(117\) | 5.35667 | − | 1.43532i | 0.495224 | − | 0.132695i | ||||
\(118\) | −2.38604 | − | 0.224305i | −0.219653 | − | 0.0206489i | ||||
\(119\) | 3.71543 | + | 3.24230i | 0.340593 | + | 0.297222i | ||||
\(120\) | −4.98154 | − | 9.02824i | −0.454750 | − | 0.824162i | ||||
\(121\) | 8.21419 | + | 4.74247i | 0.746745 | + | 0.431133i | ||||
\(122\) | −12.0000 | + | 5.50153i | −1.08643 | + | 0.498085i | ||||
\(123\) | −0.0976407 | + | 0.364400i | −0.00880396 | + | 0.0328568i | ||||
\(124\) | −9.79516 | − | 8.43732i | −0.879631 | − | 0.757694i | ||||
\(125\) | 24.3460 | − | 24.3460i | 2.17757 | − | 2.17757i | ||||
\(126\) | −0.218980 | + | 8.47381i | −0.0195083 | + | 0.754907i | ||||
\(127\) | −1.20463 | −0.106893 | −0.0534467 | − | 0.998571i | \(-0.517021\pi\) | ||||
−0.0534467 | + | 0.998571i | \(0.517021\pi\) | |||||||
\(128\) | −10.4455 | − | 4.34652i | −0.923257 | − | 0.384182i | ||||
\(129\) | −3.36041 | − | 5.82039i | −0.295867 | − | 0.512457i | ||||
\(130\) | −13.8048 | − | 5.12584i | −1.21076 | − | 0.449566i | ||||
\(131\) | −0.809509 | − | 3.02113i | −0.0707272 | − | 0.263957i | 0.921503 | − | 0.388370i | \(-0.126962\pi\) |
−0.992231 | + | 0.124413i | \(0.960295\pi\) | |||||||
\(132\) | 0.393204 | − | 2.07287i | 0.0342240 | − | 0.180421i | ||||
\(133\) | 5.64191 | + | 8.39918i | 0.489216 | + | 0.728301i | ||||
\(134\) | −1.31471 | + | 13.9853i | −0.113574 | + | 1.20814i | ||||
\(135\) | −16.6242 | − | 9.59798i | −1.43078 | − | 0.826063i | ||||
\(136\) | −2.72390 | + | 4.51345i | −0.233572 | + | 0.387025i | ||||
\(137\) | 0.286357 | − | 0.165329i | 0.0244652 | − | 0.0141250i | −0.487718 | − | 0.873001i | \(-0.662170\pi\) |
0.512183 | + | 0.858877i | \(0.328837\pi\) | |||||||
\(138\) | −0.998944 | + | 1.40719i | −0.0850357 | + | 0.119788i | ||||
\(139\) | −2.41295 | − | 2.41295i | −0.204663 | − | 0.204663i | 0.597331 | − | 0.801995i | \(-0.296228\pi\) |
−0.801995 | + | 0.597331i | \(0.796228\pi\) | |||||||
\(140\) | 13.4991 | − | 18.0114i | 1.14089 | − | 1.52224i | ||||
\(141\) | −4.38064 | + | 4.38064i | −0.368917 | + | 0.368917i | ||||
\(142\) | 15.7432 | − | 2.67112i | 1.32114 | − | 0.224155i | ||||
\(143\) | −1.50653 | − | 2.60939i | −0.125982 | − | 0.218208i | ||||
\(144\) | −8.96194 | + | 1.34230i | −0.746828 | + | 0.111858i | ||||
\(145\) | −0.546903 | + | 0.947264i | −0.0454179 | + | 0.0786660i | ||||
\(146\) | −8.46883 | − | 10.2263i | −0.700885 | − | 0.846335i | ||||
\(147\) | 5.53134 | − | 2.32291i | 0.456217 | − | 0.191591i | ||||
\(148\) | −0.407292 | + | 0.277410i | −0.0334792 | + | 0.0228030i | ||||
\(149\) | −2.36381 | + | 0.633381i | −0.193651 | + | 0.0518886i | −0.354341 | − | 0.935116i | \(-0.615295\pi\) |
0.160690 | + | 0.987005i | \(0.448628\pi\) | |||||||
\(150\) | 6.61412 | + | 14.4268i | 0.540041 | + | 1.17794i | ||||
\(151\) | 11.4320 | − | 6.60029i | 0.930326 | − | 0.537124i | 0.0434110 | − | 0.999057i | \(-0.486177\pi\) |
0.886915 | + | 0.461934i | \(0.152844\pi\) | |||||||
\(152\) | −7.79552 | + | 7.49884i | −0.632300 | + | 0.608236i | ||||
\(153\) | 4.22246i | 0.341365i | ||||||||
\(154\) | 4.47792 | − | 1.07668i | 0.360841 | − | 0.0867614i | ||||
\(155\) | 19.4427 | + | 19.4427i | 1.56167 | + | 1.56167i | ||||
\(156\) | 2.73840 | − | 3.17910i | 0.219248 | − | 0.254532i | ||||
\(157\) | −3.45433 | − | 0.925585i | −0.275685 | − | 0.0738697i | 0.118327 | − | 0.992975i | \(-0.462247\pi\) |
−0.394013 | + | 0.919105i | \(0.628913\pi\) | |||||||
\(158\) | 17.3132 | + | 6.42855i | 1.37736 | + | 0.511428i | ||||
\(159\) | −4.30007 | + | 7.44794i | −0.341018 | + | 0.590660i | ||||
\(160\) | 21.4682 | + | 10.8689i | 1.69721 | + | 0.859259i | ||||
\(161\) | −3.69643 | − | 0.725873i | −0.291319 | − | 0.0572068i | ||||
\(162\) | −3.19008 | + | 2.64184i | −0.250636 | + | 0.207562i | ||||
\(163\) | −2.90781 | − | 10.8521i | −0.227757 | − | 0.850001i | −0.981281 | − | 0.192581i | \(-0.938314\pi\) |
0.753524 | − | 0.657420i | \(-0.228352\pi\) | |||||||
\(164\) | −0.290380 | − | 0.831095i | −0.0226749 | − | 0.0648976i | ||||
\(165\) | −1.16141 | + | 4.33443i | −0.0904155 | + | 0.337435i | ||||
\(166\) | −5.00552 | − | 3.55335i | −0.388504 | − | 0.275793i | ||||
\(167\) | 11.7171i | 0.906693i | 0.891334 | + | 0.453346i | \(0.149770\pi\) | ||||
−0.891334 | + | 0.453346i | \(0.850230\pi\) | |||||||
\(168\) | 3.47227 | + | 5.39228i | 0.267891 | + | 0.416023i | ||||
\(169\) | 7.00785i | 0.539065i | ||||||||
\(170\) | 6.49029 | − | 9.14271i | 0.497782 | − | 0.701214i | ||||
\(171\) | −2.24238 | + | 8.36867i | −0.171479 | + | 0.639968i | ||||
\(172\) | 14.1274 | + | 6.81146i | 1.07720 | + | 0.519369i | ||||
\(173\) | 2.83415 | + | 10.5772i | 0.215476 | + | 0.804169i | 0.985998 | + | 0.166755i | \(0.0533290\pi\) |
−0.770522 | + | 0.637413i | \(0.780004\pi\) | |||||||
\(174\) | −0.198787 | − | 0.240040i | −0.0150700 | − | 0.0181974i | ||||
\(175\) | −22.7786 | + | 26.1025i | −1.72190 | + | 1.97316i | ||||
\(176\) | 1.96469 | + | 4.51454i | 0.148094 | + | 0.340296i | ||||
\(177\) | −0.726183 | + | 1.25779i | −0.0545833 | + | 0.0945410i | ||||
\(178\) | 3.21776 | − | 8.66600i | 0.241182 | − | 0.649544i | ||||
\(179\) | −16.1464 | − | 4.32641i | −1.20684 | − | 0.323371i | −0.401317 | − | 0.915939i | \(-0.631447\pi\) |
−0.805520 | + | 0.592568i | \(0.798114\pi\) | |||||||
\(180\) | 19.2202 | − | 1.43140i | 1.43259 | − | 0.106690i | ||||
\(181\) | −15.9791 | − | 15.9791i | −1.18772 | − | 1.18772i | −0.977696 | − | 0.210025i | \(-0.932646\pi\) |
−0.210025 | − | 0.977696i | \(-0.567354\pi\) | |||||||
\(182\) | 8.78287 | + | 2.59832i | 0.651030 | + | 0.192600i | ||||
\(183\) | 8.00010i | 0.591385i | ||||||||
\(184\) | 0.0781022 | − | 4.02636i | 0.00575777 | − | 0.296827i | ||||
\(185\) | 0.907680 | − | 0.524050i | 0.0667340 | − | 0.0385289i | ||||
\(186\) | −7.12186 | + | 3.26509i | −0.522200 | + | 0.239408i | ||||
\(187\) | 2.21598 | − | 0.593770i | 0.162048 | − | 0.0434208i | ||||
\(188\) | 2.69432 | − | 14.2038i | 0.196503 | − | 1.03592i | ||||
\(189\) | 10.7212 | + | 5.25454i | 0.779851 | + | 0.382212i | ||||
\(190\) | 17.7187 | − | 14.6736i | 1.28545 | − | 1.06454i | ||||
\(191\) | 4.97963 | − | 8.62497i | 0.360313 | − | 0.624081i | −0.627699 | − | 0.778456i | \(-0.716003\pi\) |
0.988012 | + | 0.154375i | \(0.0493364\pi\) | |||||||
\(192\) | −5.03254 | + | 4.65651i | −0.363192 | + | 0.336054i | ||||
\(193\) | −4.02312 | − | 6.96824i | −0.289590 | − | 0.501585i | 0.684122 | − | 0.729368i | \(-0.260186\pi\) |
−0.973712 | + | 0.227783i | \(0.926852\pi\) | |||||||
\(194\) | 0.403131 | + | 2.37599i | 0.0289431 | + | 0.170586i | ||||
\(195\) | −6.31028 | + | 6.31028i | −0.451889 | + | 0.451889i | ||||
\(196\) | −7.61687 | + | 11.7466i | −0.544062 | + | 0.839045i | ||||
\(197\) | 6.01951 | + | 6.01951i | 0.428873 | + | 0.428873i | 0.888244 | − | 0.459372i | \(-0.151925\pi\) |
−0.459372 | + | 0.888244i | \(0.651925\pi\) | |||||||
\(198\) | 3.21570 | + | 2.28278i | 0.228530 | + | 0.162230i | ||||
\(199\) | 12.7812 | − | 7.37922i | 0.906035 | − | 0.523099i | 0.0268814 | − | 0.999639i | \(-0.491442\pi\) |
0.879153 | + | 0.476539i | \(0.158109\pi\) | |||||||
\(200\) | −31.7089 | − | 19.1365i | −2.24216 | − | 1.35316i | ||||
\(201\) | 7.37224 | + | 4.25636i | 0.519998 | + | 0.300221i | ||||
\(202\) | 3.44271 | + | 0.323639i | 0.242228 | + | 0.0227712i | ||||
\(203\) | 0.299410 | − | 0.610904i | 0.0210144 | − | 0.0428771i | ||||
\(204\) | 1.79845 | + | 2.64047i | 0.125917 | + | 0.184870i | ||||
\(205\) | 0.484616 | + | 1.80861i | 0.0338470 | + | 0.126319i | ||||
\(206\) | −7.18079 | + | 19.3391i | −0.500309 | + | 1.34742i | ||||
\(207\) | −1.61279 | − | 2.79344i | −0.112097 | − | 0.194158i | ||||
\(208\) | −1.10533 | + | 9.72896i | −0.0766406 | + | 0.674582i | ||||
\(209\) | 4.70727 | 0.325609 | ||||||||
\(210\) | −6.51289 | − | 11.9854i | −0.449432 | − | 0.827074i | ||||
\(211\) | 14.5016 | − | 14.5016i | 0.998329 | − | 0.998329i | −0.00166940 | − | 0.999999i | \(-0.500531\pi\) |
0.999999 | + | 0.00166940i | \(0.000531387\pi\) | |||||||
\(212\) | −1.49050 | − | 20.0139i | −0.102368 | − | 1.37456i | ||||
\(213\) | 2.50461 | − | 9.34732i | 0.171613 | − | 0.640468i | ||||
\(214\) | −2.93035 | − | 6.39173i | −0.200315 | − | 0.436930i | ||||
\(215\) | −28.8881 | − | 16.6786i | −1.97015 | − | 1.13747i | ||||
\(216\) | −3.54205 | + | 12.2627i | −0.241006 | + | 0.834368i | ||||
\(217\) | −12.8856 | − | 11.2448i | −0.874733 | − | 0.763344i | ||||
\(218\) | 1.33827 | − | 14.2358i | 0.0906391 | − | 0.964173i | ||||
\(219\) | −7.77241 | + | 2.08261i | −0.525211 | + | 0.140730i | ||||
\(220\) | −3.45399 | − | 9.88563i | −0.232868 | − | 0.666489i | ||||
\(221\) | 4.40698 | + | 1.18085i | 0.296445 | + | 0.0794323i | ||||
\(222\) | 0.0499561 | + | 0.294434i | 0.00335284 | + | 0.0197611i | ||||
\(223\) | 4.72461 | 0.316383 | 0.158192 | − | 0.987408i | \(-0.449434\pi\) | ||||
0.158192 | + | 0.987408i | \(0.449434\pi\) | |||||||
\(224\) | −13.7807 | − | 5.83879i | −0.920764 | − | 0.390121i | ||||
\(225\) | −29.6646 | −1.97764 | ||||||||
\(226\) | 1.23672 | + | 7.28906i | 0.0822656 | + | 0.484861i | ||||
\(227\) | 15.9081 | + | 4.26257i | 1.05586 | + | 0.282917i | 0.744671 | − | 0.667431i | \(-0.232606\pi\) |
0.311189 | + | 0.950348i | \(0.399273\pi\) | |||||||
\(228\) | 2.16218 | + | 6.18834i | 0.143194 | + | 0.409833i | ||||
\(229\) | −13.3085 | + | 3.56601i | −0.879453 | + | 0.235649i | −0.670171 | − | 0.742207i | \(-0.733779\pi\) |
−0.209282 | + | 0.977855i | \(0.567113\pi\) | |||||||
\(230\) | −0.801648 | + | 8.52753i | −0.0528591 | + | 0.562289i | ||||
\(231\) | 0.537812 | − | 2.73875i | 0.0353854 | − | 0.180196i | ||||
\(232\) | 0.698739 | + | 0.201830i | 0.0458745 | + | 0.0132508i | ||||
\(233\) | 12.0806 | + | 6.97475i | 0.791428 | + | 0.456931i | 0.840465 | − | 0.541866i | \(-0.182282\pi\) |
−0.0490370 | + | 0.998797i | \(0.515615\pi\) | |||||||
\(234\) | 3.26845 | + | 7.12919i | 0.213665 | + | 0.466050i | ||||
\(235\) | −7.95822 | + | 29.7005i | −0.519137 | + | 1.93745i | ||||
\(236\) | −0.251712 | − | 3.37989i | −0.0163851 | − | 0.220012i | ||||
\(237\) | 7.91401 | − | 7.91401i | 0.514070 | − | 0.514070i | ||||
\(238\) | −3.64176 | + | 5.94740i | −0.236060 | + | 0.385512i | ||||
\(239\) | −23.1794 | −1.49935 | −0.749674 | − | 0.661807i | \(-0.769790\pi\) | ||||
−0.749674 | + | 0.661807i | \(0.769790\pi\) | |||||||
\(240\) | 11.4095 | − | 9.08147i | 0.736479 | − | 0.586207i | ||||
\(241\) | 2.09690 | + | 3.63195i | 0.135073 | + | 0.233954i | 0.925626 | − | 0.378441i | \(-0.123540\pi\) |
−0.790552 | + | 0.612395i | \(0.790206\pi\) | |||||||
\(242\) | −4.66916 | + | 12.5748i | −0.300145 | + | 0.808342i | ||||
\(243\) | 4.15362 | + | 15.5015i | 0.266455 | + | 0.994422i | ||||
\(244\) | −10.5095 | − | 15.4300i | −0.672803 | − | 0.987804i | ||||
\(245\) | 18.0108 | − | 23.7113i | 1.15067 | − | 1.51486i | ||||
\(246\) | −0.531177 | − | 0.0499343i | −0.0338666 | − | 0.00318370i | ||||
\(247\) | 8.10728 | + | 4.68074i | 0.515854 | + | 0.297828i | ||||
\(248\) | 9.44684 | − | 15.6532i | 0.599875 | − | 0.993982i | ||||
\(249\) | −3.22168 | + | 1.86004i | −0.204166 | + | 0.117875i | ||||
\(250\) | 39.7048 | + | 28.1859i | 2.51115 | + | 1.78263i | ||||
\(251\) | −16.5937 | − | 16.5937i | −1.04739 | − | 1.04739i | −0.998820 | − | 0.0485679i | \(-0.984534\pi\) |
−0.0485679 | − | 0.998820i | \(-0.515466\pi\) | |||||||
\(252\) | −11.8667 | + | 1.69930i | −0.747533 | + | 0.107046i | ||||
\(253\) | −1.23923 | + | 1.23923i | −0.0779095 | + | 0.0779095i | ||||
\(254\) | −0.284974 | − | 1.67960i | −0.0178809 | − | 0.105387i | ||||
\(255\) | −3.39741 | − | 5.88449i | −0.212754 | − | 0.368501i | ||||
\(256\) | 3.58925 | − | 15.5922i | 0.224328 | − | 0.974514i | ||||
\(257\) | 5.52727 | − | 9.57351i | 0.344782 | − | 0.597179i | −0.640532 | − | 0.767931i | \(-0.721286\pi\) |
0.985314 | + | 0.170752i | \(0.0546196\pi\) | |||||||
\(258\) | 7.32034 | − | 6.06228i | 0.455745 | − | 0.377421i | ||||
\(259\) | −0.541149 | + | 0.363501i | −0.0336254 | + | 0.0225869i | ||||
\(260\) | 3.88115 | − | 20.4604i | 0.240699 | − | 1.26890i | ||||
\(261\) | 0.562697 | − | 0.150774i | 0.0348301 | − | 0.00933269i | ||||
\(262\) | 4.02082 | − | 1.84339i | 0.248407 | − | 0.113885i | ||||
\(263\) | −14.1936 | + | 8.19466i | −0.875213 | + | 0.505304i | −0.869077 | − | 0.494677i | \(-0.835286\pi\) |
−0.00613562 | + | 0.999981i | \(0.501953\pi\) | |||||||
\(264\) | 2.98320 | + | 0.0578673i | 0.183603 | + | 0.00356148i | ||||
\(265\) | 42.6847i | 2.62210i | ||||||||
\(266\) | −10.3762 | + | 9.85341i | −0.636205 | + | 0.604151i | ||||
\(267\) | −3.96130 | − | 3.96130i | −0.242428 | − | 0.242428i | ||||
\(268\) | −19.8105 | + | 1.47536i | −1.21012 | + | 0.0901217i | ||||
\(269\) | −1.24494 | − | 0.333581i | −0.0759055 | − | 0.0203388i | 0.220666 | − | 0.975349i | \(-0.429177\pi\) |
−0.296572 | + | 0.955011i | \(0.595843\pi\) | |||||||
\(270\) | 9.44962 | − | 25.4495i | 0.575085 | − | 1.54880i | ||||
\(271\) | 10.0688 | − | 17.4397i | 0.611639 | − | 1.05939i | −0.379326 | − | 0.925263i | \(-0.623844\pi\) |
0.990964 | − | 0.134126i | \(-0.0428227\pi\) | |||||||
\(272\) | −6.93742 | − | 2.73016i | −0.420643 | − | 0.165540i | ||||
\(273\) | 3.64958 | − | 4.18213i | 0.220882 | − | 0.253114i | ||||
\(274\) | 0.298258 | + | 0.360153i | 0.0180184 | + | 0.0217577i | ||||
\(275\) | 4.17149 | + | 15.5682i | 0.251550 | + | 0.938798i | ||||
\(276\) | −2.19834 | − | 1.05992i | −0.132325 | − | 0.0637997i | ||||
\(277\) | 8.35382 | − | 31.1769i | 0.501932 | − | 1.87324i | 0.0148319 | − | 0.999890i | \(-0.495279\pi\) |
0.487100 | − | 0.873346i | \(-0.338055\pi\) | |||||||
\(278\) | 2.79352 | − | 3.93516i | 0.167544 | − | 0.236015i | ||||
\(279\) | − | 14.6441i | − | 0.876717i | ||||||
\(280\) | 28.3065 | + | 14.5608i | 1.69164 | + | 0.870173i | ||||
\(281\) | − | 13.6466i | − | 0.814089i | −0.913408 | − | 0.407044i | \(-0.866559\pi\) | ||
0.913408 | − | 0.407044i | \(-0.133441\pi\) | |||||||
\(282\) | −7.14419 | − | 5.07156i | −0.425430 | − | 0.302007i | ||||
\(283\) | −4.86306 | + | 18.1492i | −0.289079 | + | 1.07886i | 0.656728 | + | 0.754128i | \(0.271940\pi\) |
−0.945807 | + | 0.324730i | \(0.894727\pi\) | |||||||
\(284\) | 7.44862 | + | 21.3186i | 0.441994 | + | 1.26503i | ||||
\(285\) | −3.60846 | − | 13.4669i | −0.213747 | − | 0.797713i | ||||
\(286\) | 3.28184 | − | 2.71783i | 0.194059 | − | 0.160709i | ||||
\(287\) | −0.377048 | − | 1.10189i | −0.0222564 | − | 0.0650423i | ||||
\(288\) | −3.99164 | − | 12.1780i | −0.235210 | − | 0.717594i | ||||
\(289\) | 6.76307 | − | 11.7140i | 0.397828 | − | 0.689058i | ||||
\(290\) | −1.45014 | − | 0.538449i | −0.0851550 | − | 0.0316188i | ||||
\(291\) | 1.41072 | + | 0.378000i | 0.0826977 | + | 0.0221588i | ||||
\(292\) | 12.2550 | − | 14.2272i | 0.717167 | − | 0.832582i | ||||
\(293\) | 2.19433 | + | 2.19433i | 0.128194 | + | 0.128194i | 0.768293 | − | 0.640099i | \(-0.221107\pi\) |
−0.640099 | + | 0.768293i | \(0.721107\pi\) | |||||||
\(294\) | 4.54734 | + | 7.16275i | 0.265206 | + | 0.417740i | ||||
\(295\) | 7.20847i | 0.419693i | ||||||||
\(296\) | −0.483141 | − | 0.502256i | −0.0280820 | − | 0.0291930i | ||||
\(297\) | 4.81047 | − | 2.77733i | 0.279132 | − | 0.161157i | ||||
\(298\) | −1.44231 | − | 3.14599i | −0.0835510 | − | 0.182242i | ||||
\(299\) | −3.36655 | + | 0.902063i | −0.194692 | + | 0.0521677i | ||||
\(300\) | −18.5504 | + | 12.6349i | −1.07101 | + | 0.729475i | ||||
\(301\) | 18.6303 | + | 9.13090i | 1.07384 | + | 0.526296i | ||||
\(302\) | 11.9071 | + | 14.3781i | 0.685178 | + | 0.827368i | ||||
\(303\) | 1.04778 | − | 1.81480i | 0.0601932 | − | 0.104258i | ||||
\(304\) | −12.2997 | − | 9.09522i | −0.705436 | − | 0.521646i | ||||
\(305\) | 19.8533 | + | 34.3869i | 1.13680 | + | 1.96899i | ||||
\(306\) | −5.88732 | + | 0.998891i | −0.336555 | + | 0.0571028i | ||||
\(307\) | −8.28029 | + | 8.28029i | −0.472581 | + | 0.472581i | −0.902749 | − | 0.430168i | \(-0.858454\pi\) |
0.430168 | + | 0.902749i | \(0.358454\pi\) | |||||||
\(308\) | 2.56053 | + | 5.98879i | 0.145900 | + | 0.341243i | ||||
\(309\) | 8.84007 | + | 8.84007i | 0.502894 | + | 0.502894i | ||||
\(310\) | −22.5092 | + | 31.7082i | −1.27844 | + | 1.80090i | ||||
\(311\) | −7.36500 | + | 4.25218i | −0.417631 | + | 0.241119i | −0.694063 | − | 0.719914i | \(-0.744181\pi\) |
0.276432 | + | 0.961033i | \(0.410848\pi\) | |||||||
\(312\) | 5.08039 | + | 3.06605i | 0.287620 | + | 0.173581i | ||||
\(313\) | −14.1001 | − | 8.14069i | −0.796984 | − | 0.460139i | 0.0454317 | − | 0.998967i | \(-0.485534\pi\) |
−0.842415 | + | 0.538829i | \(0.818867\pi\) | |||||||
\(314\) | 0.473353 | − | 5.03529i | 0.0267128 | − | 0.284158i | ||||
\(315\) | 25.4376 | − | 1.72975i | 1.43325 | − | 0.0974605i | ||||
\(316\) | −4.86752 | + | 25.6603i | −0.273819 | + | 1.44351i | ||||
\(317\) | −5.85666 | − | 21.8574i | −0.328943 | − | 1.22763i | −0.910288 | − | 0.413975i | \(-0.864140\pi\) |
0.581345 | − | 0.813657i | \(-0.302526\pi\) | |||||||
\(318\) | −11.4018 | − | 4.23360i | −0.639382 | − | 0.237408i | ||||
\(319\) | −0.158255 | − | 0.274106i | −0.00886058 | − | 0.0153470i | ||||
\(320\) | −10.0757 | + | 32.5040i | −0.563247 | + | 1.81703i | ||||
\(321\) | −4.26120 | −0.237837 | ||||||||
\(322\) | 0.137624 | − | 5.32560i | 0.00766950 | − | 0.296784i | ||||
\(323\) | −5.04015 | + | 5.04015i | −0.280442 | + | 0.280442i | ||||
\(324\) | −4.43815 | − | 3.82292i | −0.246564 | − | 0.212384i | ||||
\(325\) | −8.29595 | + | 30.9609i | −0.460177 | + | 1.71740i | ||||
\(326\) | 14.4430 | − | 6.62156i | 0.799926 | − | 0.366734i | ||||
\(327\) | −7.50434 | − | 4.33263i | −0.414991 | − | 0.239595i | ||||
\(328\) | 1.09009 | − | 0.601483i | 0.0601902 | − | 0.0332113i | ||||
\(329\) | 3.68520 | − | 18.7665i | 0.203172 | − | 1.03463i | ||||
\(330\) | −6.31820 | − | 0.593955i | −0.347805 | − | 0.0326961i | ||||
\(331\) | 11.2314 | − | 3.00945i | 0.617334 | − | 0.165414i | 0.0634183 | − | 0.997987i | \(-0.479800\pi\) |
0.553915 | + | 0.832573i | \(0.313133\pi\) | |||||||
\(332\) | 3.77025 | − | 7.81973i | 0.206919 | − | 0.429164i | ||||
\(333\) | −0.539183 | − | 0.144474i | −0.0295470 | − | 0.00791711i | ||||
\(334\) | −16.3369 | + | 2.77186i | −0.893917 | + | 0.151670i | ||||
\(335\) | 42.2509 | 2.30841 | ||||||||
\(336\) | −6.69696 | + | 6.11697i | −0.365349 | + | 0.333708i | ||||
\(337\) | 15.7590 | 0.858445 | 0.429223 | − | 0.903199i | \(-0.358788\pi\) | ||||
0.429223 | + | 0.903199i | \(0.358788\pi\) | |||||||
\(338\) | −9.77095 | + | 1.65782i | −0.531470 | + | 0.0901736i | ||||
\(339\) | 4.32779 | + | 1.15963i | 0.235053 | + | 0.0629823i | ||||
\(340\) | 14.2829 | + | 6.88646i | 0.774602 | + | 0.373471i | ||||
\(341\) | −7.68532 | + | 2.05928i | −0.416183 | + | 0.111516i | ||||
\(342\) | −12.1988 | − | 1.14677i | −0.659635 | − | 0.0620104i | ||||
\(343\) | −10.1761 | + | 15.4741i | −0.549455 | + | 0.835523i | ||||
\(344\) | −6.15506 | + | 21.3090i | −0.331859 | + | 1.14890i | ||||
\(345\) | 4.49523 | + | 2.59533i | 0.242015 | + | 0.139728i | ||||
\(346\) | −14.0772 | + | 6.45382i | −0.756793 | + | 0.346960i | ||||
\(347\) | 3.95167 | − | 14.7478i | 0.212137 | − | 0.791706i | −0.775018 | − | 0.631939i | \(-0.782259\pi\) |
0.987155 | − | 0.159766i | \(-0.0510741\pi\) | |||||||
\(348\) | 0.287658 | − | 0.333952i | 0.0154201 | − | 0.0179017i | ||||
\(349\) | −6.62124 | + | 6.62124i | −0.354427 | + | 0.354427i | −0.861754 | − | 0.507327i | \(-0.830634\pi\) |
0.507327 | + | 0.861754i | \(0.330634\pi\) | |||||||
\(350\) | −41.7830 | − | 25.5849i | −2.23340 | − | 1.36757i | ||||
\(351\) | 11.0467 | 0.589628 | ||||||||
\(352\) | −5.82979 | + | 3.80734i | −0.310729 | + | 0.202932i | ||||
\(353\) | −10.9032 | − | 18.8849i | −0.580319 | − | 1.00514i | −0.995441 | − | 0.0953759i | \(-0.969595\pi\) |
0.415123 | − | 0.909765i | \(-0.363739\pi\) | |||||||
\(354\) | −1.92551 | − | 0.714958i | −0.102339 | − | 0.0379996i | ||||
\(355\) | −12.4310 | − | 46.3931i | −0.659769 | − | 2.46229i | ||||
\(356\) | 12.8441 | + | 2.43640i | 0.680736 | + | 0.129129i | ||||
\(357\) | 2.35658 | + | 3.50826i | 0.124723 | + | 0.185677i | ||||
\(358\) | 2.21257 | − | 23.5362i | 0.116938 | − | 1.24393i | ||||
\(359\) | 29.8216 | + | 17.2175i | 1.57392 | + | 0.908704i | 0.995681 | + | 0.0928386i | \(0.0295941\pi\) |
0.578241 | + | 0.815866i | \(0.303739\pi\) | |||||||
\(360\) | 6.54263 | + | 26.4599i | 0.344827 | + | 1.39456i | ||||
\(361\) | 3.78856 | − | 2.18733i | 0.199398 | − | 0.115123i | ||||
\(362\) | 18.4994 | − | 26.0596i | 0.972306 | − | 1.36966i | ||||
\(363\) | 5.74807 | + | 5.74807i | 0.301695 | + | 0.301695i | ||||
\(364\) | −1.54507 | + | 12.8605i | −0.0809839 | + | 0.674074i | ||||
\(365\) | −28.2399 | + | 28.2399i | −1.47815 | + | 1.47815i | ||||
\(366\) | −11.1544 | + | 1.89256i | −0.583052 | + | 0.0989255i | ||||
\(367\) | −1.65812 | − | 2.87195i | −0.0865533 | − | 0.149915i | 0.819499 | − | 0.573081i | \(-0.194252\pi\) |
−0.906052 | + | 0.423166i | \(0.860919\pi\) | |||||||
\(368\) | 5.63238 | − | 0.843605i | 0.293608 | − | 0.0439759i | ||||
\(369\) | 0.498611 | − | 0.863619i | 0.0259566 | − | 0.0449582i | ||||
\(370\) | 0.945402 | + | 1.14159i | 0.0491491 | + | 0.0593487i | ||||
\(371\) | −1.80118 | − | 26.4880i | −0.0935127 | − | 1.37519i | ||||
\(372\) | −6.23727 | − | 9.15751i | −0.323387 | − | 0.474795i | ||||
\(373\) | −22.4918 | + | 6.02667i | −1.16458 | + | 0.312049i | −0.788795 | − | 0.614656i | \(-0.789295\pi\) |
−0.375789 | + | 0.926705i | \(0.622628\pi\) | |||||||
\(374\) | 1.35211 | + | 2.94925i | 0.0699160 | + | 0.152502i | ||||
\(375\) | 25.5550 | − | 14.7542i | 1.31966 | − | 0.761903i | ||||
\(376\) | 20.4415 | + | 0.396519i | 1.05419 | + | 0.0204489i | ||||
\(377\) | − | 0.629452i | − | 0.0324184i | ||||||
\(378\) | −4.79007 | + | 16.1914i | −0.246375 | + | 0.832798i | ||||
\(379\) | 2.77271 | + | 2.77271i | 0.142425 | + | 0.142425i | 0.774724 | − | 0.632299i | \(-0.217889\pi\) |
−0.632299 | + | 0.774724i | \(0.717889\pi\) | |||||||
\(380\) | 24.6509 | + | 21.2337i | 1.26456 | + | 1.08927i | ||||
\(381\) | −0.997239 | − | 0.267209i | −0.0510901 | − | 0.0136895i | ||||
\(382\) | 13.2037 | + | 4.90266i | 0.675560 | + | 0.250842i | ||||
\(383\) | −10.6953 | + | 18.5248i | −0.546504 | + | 0.946572i | 0.452007 | + | 0.892014i | \(0.350708\pi\) |
−0.998511 | + | 0.0545578i | \(0.982625\pi\) | |||||||
\(384\) | −7.68304 | − | 5.91523i | −0.392073 | − | 0.301860i | ||||
\(385\) | −4.48487 | − | 13.1066i | −0.228570 | − | 0.667975i | ||||
\(386\) | 8.76400 | − | 7.25783i | 0.446076 | − | 0.369414i | ||||
\(387\) | 4.59806 | + | 17.1602i | 0.233733 | + | 0.872302i | ||||
\(388\) | −3.21745 | + | 1.12416i | −0.163341 | + | 0.0570706i | ||||
\(389\) | −6.51295 | + | 24.3067i | −0.330220 | + | 1.23240i | 0.578740 | + | 0.815512i | \(0.303545\pi\) |
−0.908959 | + | 0.416885i | \(0.863122\pi\) | |||||||
\(390\) | −10.2911 | − | 7.30554i | −0.521112 | − | 0.369931i | ||||
\(391\) | − | 2.65372i | − | 0.134204i | ||||||
\(392\) | −18.1801 | − | 7.84125i | −0.918232 | − | 0.396043i | ||||
\(393\) | − | 2.68058i | − | 0.135217i | ||||||
\(394\) | −6.96892 | + | 9.81695i | −0.351089 | + | 0.494571i | ||||
\(395\) | 14.3772 | − | 53.6564i | 0.723395 | − | 2.69975i | ||||
\(396\) | −2.42213 | + | 5.02364i | −0.121717 | + | 0.252448i | ||||
\(397\) | 0.101204 | + | 0.377699i | 0.00507929 | + | 0.0189562i | 0.968419 | − | 0.249328i | \(-0.0802099\pi\) |
−0.963340 | + | 0.268285i | \(0.913543\pi\) | |||||||
\(398\) | 13.3124 | + | 16.0750i | 0.667288 | + | 0.805765i | ||||
\(399\) | 2.80750 | + | 8.20466i | 0.140551 | + | 0.410747i | ||||
\(400\) | 19.1806 | − | 48.7384i | 0.959028 | − | 2.43692i | ||||
\(401\) | −9.92701 | + | 17.1941i | −0.495731 | + | 0.858631i | −0.999988 | − | 0.00492242i | \(-0.998433\pi\) |
0.504257 | + | 0.863554i | \(0.331766\pi\) | |||||||
\(402\) | −4.19057 | + | 11.2859i | −0.209007 | + | 0.562891i | ||||
\(403\) | −15.2840 | − | 4.09534i | −0.761350 | − | 0.204003i | ||||
\(404\) | 0.363184 | + | 4.87669i | 0.0180691 | + | 0.242624i | ||||
\(405\) | 8.80940 | + | 8.80940i | 0.437743 | + | 0.437743i | ||||
\(406\) | 0.922606 | + | 0.272943i | 0.0457882 | + | 0.0135460i | ||||
\(407\) | 0.303284i | 0.0150332i | ||||||||
\(408\) | −3.25612 | + | 3.13220i | −0.161202 | + | 0.155067i | ||||
\(409\) | 30.4501 | − | 17.5804i | 1.50566 | − | 0.869295i | 0.505685 | − | 0.862718i | \(-0.331240\pi\) |
0.999978 | − | 0.00657643i | \(-0.00209336\pi\) | |||||||
\(410\) | −2.40708 | + | 1.10355i | −0.118877 | + | 0.0545005i | ||||
\(411\) | 0.273731 | − | 0.0733461i | 0.0135022 | − | 0.00361789i | ||||
\(412\) | −28.6630 | − | 5.43710i | −1.41212 | − | 0.267866i | ||||
\(413\) | −0.304178 | − | 4.47322i | −0.0149676 | − | 0.220113i | ||||
\(414\) | 3.51333 | − | 2.90953i | 0.172671 | − | 0.142996i | ||||
\(415\) | −9.23185 | + | 15.9900i | −0.453174 | + | 0.784920i | ||||
\(416\) | −13.8264 | + | 0.760404i | −0.677897 | + | 0.0372819i | ||||
\(417\) | −1.46230 | − | 2.53277i | −0.0716089 | − | 0.124030i | ||||
\(418\) | 1.11358 | + | 6.56329i | 0.0544671 | + | 0.321021i | ||||
\(419\) | −17.1877 | + | 17.1877i | −0.839673 | + | 0.839673i | −0.988816 | − | 0.149142i | \(-0.952349\pi\) |
0.149142 | + | 0.988816i | \(0.452349\pi\) | |||||||
\(420\) | 15.1704 | − | 11.9162i | 0.740240 | − | 0.581451i | ||||
\(421\) | 12.9543 | + | 12.9543i | 0.631352 | + | 0.631352i | 0.948407 | − | 0.317055i | \(-0.102694\pi\) |
−0.317055 | + | 0.948407i | \(0.602694\pi\) | |||||||
\(422\) | 23.6499 | + | 16.7888i | 1.15126 | + | 0.817264i | ||||
\(423\) | 14.1821 | − | 8.18803i | 0.689557 | − | 0.398116i | ||||
\(424\) | 27.5525 | − | 6.81281i | 1.33807 | − | 0.330859i | ||||
\(425\) | −21.1356 | − | 12.2026i | −1.02523 | − | 0.591915i | ||||
\(426\) | 13.6254 | + | 1.28088i | 0.660150 | + | 0.0620588i | ||||
\(427\) | −13.7710 | − | 20.5011i | −0.666426 | − | 0.992117i | ||||
\(428\) | 8.21868 | − | 5.59782i | 0.397265 | − | 0.270581i | ||||
\(429\) | −0.668354 | − | 2.49433i | −0.0322685 | − | 0.120427i | ||||
\(430\) | 16.4207 | − | 44.2239i | 0.791878 | − | 2.13267i | ||||
\(431\) | 2.85225 | + | 4.94025i | 0.137388 | + | 0.237963i | 0.926507 | − | 0.376277i | \(-0.122796\pi\) |
−0.789119 | + | 0.614240i | \(0.789463\pi\) | |||||||
\(432\) | −17.9356 | − | 2.03770i | −0.862926 | − | 0.0980387i | ||||
\(433\) | −8.09187 | −0.388870 | −0.194435 | − | 0.980915i | \(-0.562287\pi\) | ||||
−0.194435 | + | 0.980915i | \(0.562287\pi\) | |||||||
\(434\) | 12.6301 | − | 20.6264i | 0.606265 | − | 0.990098i | ||||
\(435\) | −0.662870 | + | 0.662870i | −0.0317822 | + | 0.0317822i | ||||
\(436\) | 20.1654 | − | 1.50179i | 0.965750 | − | 0.0719228i | ||||
\(437\) | 1.40928 | − | 5.25952i | 0.0674152 | − | 0.251597i | ||||
\(438\) | −4.74245 | − | 10.3443i | −0.226603 | − | 0.494269i | ||||
\(439\) | 6.11379 | + | 3.52980i | 0.291795 | + | 0.168468i | 0.638751 | − | 0.769413i | \(-0.279451\pi\) |
−0.346956 | + | 0.937881i | \(0.612785\pi\) | |||||||
\(440\) | 12.9663 | − | 7.15446i | 0.618145 | − | 0.341076i | ||||
\(441\) | −15.7124 | + | 2.14680i | −0.748207 | + | 0.102229i | ||||
\(442\) | −0.603895 | + | 6.42394i | −0.0287244 | + | 0.305556i | ||||
\(443\) | −14.7590 | + | 3.95466i | −0.701221 | + | 0.187891i | −0.591777 | − | 0.806102i | \(-0.701573\pi\) |
−0.109443 | + | 0.993993i | \(0.534907\pi\) | |||||||
\(444\) | −0.398707 | + | 0.139306i | −0.0189218 | + | 0.00661119i | ||||
\(445\) | −26.8574 | − | 7.19641i | −1.27316 | − | 0.341142i | ||||
\(446\) | 1.11768 | + | 6.58746i | 0.0529238 | + | 0.311925i | ||||
\(447\) | −2.09735 | −0.0992014 | ||||||||
\(448\) | 4.88089 | − | 20.5956i | 0.230600 | − | 0.973049i | ||||
\(449\) | 19.5020 | 0.920356 | 0.460178 | − | 0.887827i | \(-0.347786\pi\) | ||||
0.460178 | + | 0.887827i | \(0.347786\pi\) | |||||||
\(450\) | −7.01764 | − | 41.3609i | −0.330815 | − | 1.94977i | ||||
\(451\) | −0.523350 | − | 0.140231i | −0.0246436 | − | 0.00660322i | ||||
\(452\) | −9.87048 | + | 3.44869i | −0.464268 | + | 0.162213i | ||||
\(453\) | 10.9280 | − | 2.92814i | 0.513441 | − | 0.137576i | ||||
\(454\) | −2.17992 | + | 23.1889i | −0.102309 | + | 1.08831i | ||||
\(455\) | 5.30850 | − | 27.0330i | 0.248866 | − | 1.26733i | ||||
\(456\) | −8.11683 | + | 4.47865i | −0.380105 | + | 0.209732i | ||||
\(457\) | −8.72578 | − | 5.03783i | −0.408175 | − | 0.235660i | 0.281830 | − | 0.959464i | \(-0.409058\pi\) |
−0.690005 | + | 0.723804i | \(0.742392\pi\) | |||||||
\(458\) | −8.12039 | − | 17.7123i | −0.379441 | − | 0.827642i | ||||
\(459\) | −2.17692 | + | 8.12437i | −0.101610 | + | 0.379213i | ||||
\(460\) | −12.0795 | + | 0.899601i | −0.563208 | + | 0.0419441i | ||||
\(461\) | −15.9419 | + | 15.9419i | −0.742487 | + | 0.742487i | −0.973056 | − | 0.230569i | \(-0.925941\pi\) |
0.230569 | + | 0.973056i | \(0.425941\pi\) | |||||||
\(462\) | 3.94583 | + | 0.101968i | 0.183577 | + | 0.00474399i | ||||
\(463\) | −8.23452 | −0.382690 | −0.191345 | − | 0.981523i | \(-0.561285\pi\) | ||||
−0.191345 | + | 0.981523i | \(0.561285\pi\) | |||||||
\(464\) | −0.116110 | + | 1.02199i | −0.00539028 | + | 0.0474446i | ||||
\(465\) | 11.7827 | + | 20.4082i | 0.546409 | + | 0.946408i | ||||
\(466\) | −6.86694 | + | 18.4938i | −0.318105 | + | 0.856711i | ||||
\(467\) | 8.94417 | + | 33.3801i | 0.413887 | + | 1.54465i | 0.787055 | + | 0.616882i | \(0.211605\pi\) |
−0.373169 | + | 0.927764i | \(0.621729\pi\) | |||||||
\(468\) | −9.16693 | + | 6.24368i | −0.423741 | + | 0.288614i | ||||
\(469\) | −26.2188 | + | 1.78288i | −1.21067 | + | 0.0823255i | ||||
\(470\) | −43.2936 | − | 4.06991i | −1.99699 | − | 0.187731i | ||||
\(471\) | −2.65432 | − | 1.53247i | −0.122305 | − | 0.0706126i | ||||
\(472\) | 4.65299 | − | 1.15053i | 0.214171 | − | 0.0529573i | ||||
\(473\) | 8.35922 | − | 4.82620i | 0.384357 | − | 0.221909i | ||||
\(474\) | 12.9066 | + | 9.16221i | 0.592819 | + | 0.420834i | ||||
\(475\) | −35.4092 | − | 35.4092i | −1.62469 | − | 1.62469i | ||||
\(476\) | −9.15389 | − | 3.67070i | −0.419568 | − | 0.168246i | ||||
\(477\) | 16.0749 | − | 16.0749i | 0.736017 | − | 0.736017i | ||||
\(478\) | −5.48346 | − | 32.3187i | −0.250808 | − | 1.47822i | ||||
\(479\) | 3.70229 | + | 6.41255i | 0.169162 | + | 0.292997i | 0.938125 | − | 0.346296i | \(-0.112561\pi\) |
−0.768964 | + | 0.639293i | \(0.779227\pi\) | |||||||
\(480\) | 15.3613 | + | 13.7597i | 0.701143 | + | 0.628043i | ||||
\(481\) | −0.301574 | + | 0.522342i | −0.0137506 | + | 0.0238167i | ||||
\(482\) | −4.56792 | + | 3.78288i | −0.208063 | + | 0.172306i | ||||
\(483\) | −2.89904 | − | 1.42085i | −0.131911 | − | 0.0646507i | ||||
\(484\) | −18.6375 | − | 3.53536i | −0.847160 | − | 0.160698i | ||||
\(485\) | 7.00175 | − | 1.87611i | 0.317933 | − | 0.0851899i | ||||
\(486\) | −20.6310 | + | 9.45847i | −0.935839 | + | 0.429045i | ||||
\(487\) | −29.4458 | + | 17.0005i | −1.33432 | + | 0.770368i | −0.985958 | − | 0.166993i | \(-0.946594\pi\) |
−0.348359 | + | 0.937361i | \(0.613261\pi\) | |||||||
\(488\) | 19.0276 | − | 18.3035i | 0.861340 | − | 0.828560i | ||||
\(489\) | − | 9.62880i | − | 0.435429i | ||||||
\(490\) | 37.3211 | + | 19.5029i | 1.68600 | + | 0.881051i | ||||
\(491\) | 2.03871 | + | 2.03871i | 0.0920055 | + | 0.0920055i | 0.751612 | − | 0.659606i | \(-0.229277\pi\) |
−0.659606 | + | 0.751612i | \(0.729277\pi\) | |||||||
\(492\) | −0.0560358 | − | 0.752426i | −0.00252629 | − | 0.0339220i | ||||
\(493\) | 0.462935 | + | 0.124043i | 0.0208496 | + | 0.00558662i | ||||
\(494\) | −4.60838 | + | 12.4112i | −0.207341 | + | 0.558405i | ||||
\(495\) | 5.93083 | − | 10.2725i | 0.266571 | − | 0.461714i | ||||
\(496\) | 24.0599 | + | 9.46858i | 1.08032 | + | 0.425152i | ||||
\(497\) | 9.67175 | + | 28.2648i | 0.433837 | + | 1.26785i | ||||
\(498\) | −3.35557 | − | 4.05193i | −0.150367 | − | 0.181571i | ||||
\(499\) | −3.72332 | − | 13.8956i | −0.166679 | − | 0.622053i | −0.997820 | − | 0.0659922i | \(-0.978979\pi\) |
0.831141 | − | 0.556061i | \(-0.187688\pi\) | |||||||
\(500\) | −29.9064 | + | 62.0277i | −1.33745 | + | 2.77396i | ||||
\(501\) | −2.59907 | + | 9.69985i | −0.116118 | + | 0.433357i | ||||
\(502\) | 19.2109 | − | 27.0620i | 0.857425 | − | 1.20783i | ||||
\(503\) | 27.2980i | 1.21716i | 0.793494 | + | 0.608579i | \(0.208260\pi\) | ||||
−0.793494 | + | 0.608579i | \(0.791740\pi\) | |||||||
\(504\) | −5.17658 | − | 16.1436i | −0.230583 | − | 0.719094i | ||||
\(505\) | − | 10.4008i | − | 0.462828i | ||||||
\(506\) | −2.02100 | − | 1.43468i | −0.0898443 | − | 0.0637792i | ||||
\(507\) | −1.55447 | + | 5.80138i | −0.0690366 | + | 0.257648i | ||||
\(508\) | 2.27442 | − | 0.794672i | 0.100911 | − | 0.0352579i | ||||
\(509\) | 5.34620 | + | 19.9523i | 0.236966 | + | 0.884370i | 0.977253 | + | 0.212078i | \(0.0680232\pi\) |
−0.740286 | + | 0.672292i | \(0.765310\pi\) | |||||||
\(510\) | 7.40095 | − | 6.12904i | 0.327720 | − | 0.271398i | ||||
\(511\) | 16.3327 | − | 18.7160i | 0.722515 | − | 0.827946i | ||||
\(512\) | 22.5891 | + | 1.31585i | 0.998308 | + | 0.0581530i | ||||
\(513\) | −8.62906 | + | 14.9460i | −0.380982 | + | 0.659881i | ||||
\(514\) | 14.6558 | + | 5.44183i | 0.646439 | + | 0.240029i | ||||
\(515\) | 59.9351 | + | 16.0596i | 2.64106 | + | 0.707669i | ||||
\(516\) | 10.1843 | + | 8.77252i | 0.448339 | + | 0.386189i | ||||
\(517\) | −6.29146 | − | 6.29146i | −0.276698 | − | 0.276698i | ||||
\(518\) | −0.634843 | − | 0.668525i | −0.0278934 | − | 0.0293733i | ||||
\(519\) | 9.38489i | 0.411951i | ||||||||
\(520\) | 29.4459 | + | 0.571182i | 1.29129 | + | 0.0250480i | ||||
\(521\) | −9.46400 | + | 5.46404i | −0.414625 | + | 0.239384i | −0.692775 | − | 0.721154i | \(-0.743612\pi\) |
0.278150 | + | 0.960538i | \(0.410279\pi\) | |||||||
\(522\) | 0.343338 | + | 0.748893i | 0.0150275 | + | 0.0327781i | ||||
\(523\) | 11.8976 | − | 3.18796i | 0.520247 | − | 0.139400i | 0.0108660 | − | 0.999941i | \(-0.496541\pi\) |
0.509381 | + | 0.860541i | \(0.329875\pi\) | |||||||
\(524\) | 3.52140 | + | 5.17009i | 0.153833 | + | 0.225857i | ||||
\(525\) | −24.6471 | + | 16.5560i | −1.07569 | + | 0.722562i | ||||
\(526\) | −14.7834 | − | 17.8513i | −0.644588 | − | 0.778354i | ||||
\(527\) | 6.02390 | − | 10.4337i | 0.262405 | − | 0.454499i | ||||
\(528\) | 0.625041 | + | 4.17313i | 0.0272014 | + | 0.181612i | ||||
\(529\) | −10.4864 | − | 18.1630i | −0.455930 | − | 0.789694i | ||||
\(530\) | −59.5147 | + | 10.0978i | −2.58515 | + | 0.438619i | ||||
\(531\) | 2.71468 | − | 2.71468i | 0.117807 | − | 0.117807i | ||||
\(532\) | −16.1931 | − | 12.1364i | −0.702061 | − | 0.526179i | ||||
\(533\) | −0.761918 | − | 0.761918i | −0.0330023 | − | 0.0330023i | ||||
\(534\) | 4.58608 | − | 6.46030i | 0.198459 | − | 0.279565i | ||||
\(535\) | −18.3160 | + | 10.5747i | −0.791868 | + | 0.457185i | ||||
\(536\) | −6.74356 | − | 27.2725i | −0.291278 | − | 1.17799i | ||||
\(537\) | −12.4069 | − | 7.16316i | −0.535399 | − | 0.309113i | ||||
\(538\) | 0.170597 | − | 1.81472i | 0.00735494 | − | 0.0782382i | ||||
\(539\) | 3.33616 | + | 7.94408i | 0.143699 | + | 0.342176i | ||||
\(540\) | 37.7193 | + | 7.15499i | 1.62318 | + | 0.307902i | ||||
\(541\) | 4.34231 | + | 16.2057i | 0.186691 | + | 0.696739i | 0.994262 | + | 0.106969i | \(0.0341146\pi\) |
−0.807572 | + | 0.589769i | \(0.799219\pi\) | |||||||
\(542\) | 26.6980 | + | 9.91320i | 1.14678 | + | 0.425808i | ||||
\(543\) | −9.68370 | − | 16.7727i | −0.415567 | − | 0.719784i | ||||
\(544\) | 2.16547 | − | 10.3186i | 0.0928437 | − | 0.442407i | ||||
\(545\) | −43.0079 | −1.84226 | ||||||||
\(546\) | 6.69446 | + | 4.09921i | 0.286496 | + | 0.175430i | ||||
\(547\) | −23.2429 | + | 23.2429i | −0.993797 | + | 0.993797i | −0.999981 | − | 0.00618416i | \(-0.998032\pi\) |
0.00618416 | + | 0.999981i | \(0.498032\pi\) | |||||||
\(548\) | −0.431599 | + | 0.501057i | −0.0184370 | + | 0.0214041i | ||||
\(549\) | 5.47329 | − | 20.4266i | 0.233594 | − | 0.871786i | ||||
\(550\) | −20.7197 | + | 9.49917i | −0.883492 | + | 0.405046i | ||||
\(551\) | 0.851637 | + | 0.491693i | 0.0362810 | + | 0.0209468i | ||||
\(552\) | 0.957780 | − | 3.31586i | 0.0407658 | − | 0.141132i | ||||
\(553\) | −6.65763 | + | 33.9033i | −0.283111 | + | 1.44171i | ||||
\(554\) | 45.4457 | + | 4.27222i | 1.93080 | + | 0.181509i | ||||
\(555\) | 0.867659 | − | 0.232488i | 0.0368301 | − | 0.00986858i | ||||
\(556\) | 6.14760 | + | 2.96404i | 0.260716 | + | 0.125703i | ||||
\(557\) | −22.7871 | − | 6.10578i | −0.965519 | − | 0.258710i | −0.258584 | − | 0.965989i | \(-0.583256\pi\) |
−0.706935 | + | 0.707279i | \(0.749923\pi\) | |||||||
\(558\) | 20.4180 | − | 3.46429i | 0.864364 | − | 0.146655i | ||||
\(559\) | 19.1960 | 0.811904 | ||||||||
\(560\) | −13.6055 | + | 42.9120i | −0.574939 | + | 1.81336i | ||||
\(561\) | 1.96619 | 0.0830125 | ||||||||
\(562\) | 19.0273 | − | 3.22833i | 0.802618 | − | 0.136179i | ||||
\(563\) | −37.6366 | − | 10.0847i | −1.58620 | − | 0.425020i | −0.645358 | − | 0.763880i | \(-0.723292\pi\) |
−0.940837 | + | 0.338860i | \(0.889959\pi\) | |||||||
\(564\) | 5.38114 | − | 11.1608i | 0.226587 | − | 0.469955i | ||||
\(565\) | 21.4799 | − | 5.75553i | 0.903667 | − | 0.242137i | ||||
\(566\) | −26.4556 | − | 2.48701i | −1.11201 | − | 0.104537i | ||||
\(567\) | −5.83842 | − | 5.09495i | −0.245191 | − | 0.213968i | ||||
\(568\) | −27.9622 | + | 15.4288i | −1.17327 | + | 0.647377i | ||||
\(569\) | 10.2086 | + | 5.89395i | 0.427968 | + | 0.247087i | 0.698481 | − | 0.715629i | \(-0.253860\pi\) |
−0.270513 | + | 0.962716i | \(0.587193\pi\) | |||||||
\(570\) | 17.9231 | − | 8.21705i | 0.750718 | − | 0.344174i | ||||
\(571\) | −0.732074 | + | 2.73214i | −0.0306363 | + | 0.114336i | −0.979551 | − | 0.201197i | \(-0.935517\pi\) |
0.948914 | + | 0.315534i | \(0.102183\pi\) | |||||||
\(572\) | 4.56581 | + | 3.93288i | 0.190906 | + | 0.164442i | ||||
\(573\) | 6.03552 | − | 6.03552i | 0.252138 | − | 0.252138i | ||||
\(574\) | 1.44715 | − | 0.786382i | 0.0604028 | − | 0.0328229i | ||||
\(575\) | 18.6435 | 0.777489 | ||||||||
\(576\) | 16.0353 | − | 8.44640i | 0.668138 | − | 0.351933i | ||||
\(577\) | 21.6020 | + | 37.4157i | 0.899302 | + | 1.55764i | 0.828389 | + | 0.560154i | \(0.189258\pi\) |
0.0709133 | + | 0.997482i | \(0.477409\pi\) | |||||||
\(578\) | 17.9326 | + | 6.65853i | 0.745897 | + | 0.276958i | ||||
\(579\) | −1.78481 | − | 6.66100i | −0.0741741 | − | 0.276822i | ||||
\(580\) | 0.407699 | − | 2.14929i | 0.0169288 | − | 0.0892443i | ||||
\(581\) | 5.05410 | − | 10.3122i | 0.209679 | − | 0.427822i | ||||
\(582\) | −0.193313 | + | 2.05637i | −0.00801308 | + | 0.0852391i | ||||
\(583\) | −10.6967 | − | 6.17574i | −0.443012 | − | 0.255773i | ||||
\(584\) | 22.7359 | + | 13.7213i | 0.940817 | + | 0.567790i | ||||
\(585\) | 20.4292 | − | 11.7948i | 0.844643 | − | 0.487655i | ||||
\(586\) | −2.54042 | + | 3.57863i | −0.104944 | + | 0.147832i | ||||
\(587\) | 28.1127 | + | 28.1127i | 1.16034 | + | 1.16034i | 0.984402 | + | 0.175935i | \(0.0562948\pi\) |
0.175935 | + | 0.984402i | \(0.443705\pi\) | |||||||
\(588\) | −8.91118 | + | 8.03476i | −0.367491 | + | 0.331348i | ||||
\(589\) | 17.4799 | − | 17.4799i | 0.720248 | − | 0.720248i | ||||
\(590\) | −10.0507 | + | 1.70528i | −0.413780 | + | 0.0702053i | ||||
\(591\) | 3.64795 | + | 6.31844i | 0.150057 | + | 0.259906i | ||||
\(592\) | 0.585993 | − | 0.792454i | 0.0240842 | − | 0.0325697i | ||||
\(593\) | 8.44544 | − | 14.6279i | 0.346812 | − | 0.600697i | −0.638869 | − | 0.769316i | \(-0.720597\pi\) |
0.985681 | + | 0.168619i | \(0.0539307\pi\) | |||||||
\(594\) | 5.01038 | + | 6.05015i | 0.205579 | + | 0.248241i | ||||
\(595\) | 18.8355 | + | 9.23145i | 0.772180 | + | 0.378452i | ||||
\(596\) | 4.04521 | − | 2.75523i | 0.165698 | − | 0.112859i | ||||
\(597\) | 12.2176 | − | 3.27371i | 0.500035 | − | 0.133984i | ||||
\(598\) | −2.05415 | − | 4.48053i | −0.0840003 | − | 0.183223i | ||||
\(599\) | 25.7194 | − | 14.8491i | 1.05087 | − | 0.606718i | 0.127975 | − | 0.991777i | \(-0.459152\pi\) |
0.922892 | + | 0.385059i | \(0.125819\pi\) | |||||||
\(600\) | −22.0051 | − | 22.8756i | −0.898353 | − | 0.933894i | ||||
\(601\) | − | 30.4663i | − | 1.24275i | −0.783515 | − | 0.621373i | \(-0.786575\pi\) | ||
0.783515 | − | 0.621373i | \(-0.213425\pi\) | |||||||
\(602\) | −8.32378 | + | 28.1361i | −0.339252 | + | 1.14674i | ||||
\(603\) | −15.9115 | − | 15.9115i | −0.647966 | − | 0.647966i | ||||
\(604\) | −17.2304 | + | 20.0033i | −0.701095 | + | 0.813924i | ||||
\(605\) | 38.9715 | + | 10.4424i | 1.58442 | + | 0.424544i | ||||
\(606\) | 2.77823 | + | 1.03158i | 0.112858 | + | 0.0419051i | ||||
\(607\) | −16.6272 | + | 28.7992i | −0.674879 | + | 1.16892i | 0.301626 | + | 0.953426i | \(0.402471\pi\) |
−0.976504 | + | 0.215498i | \(0.930863\pi\) | |||||||
\(608\) | 9.77165 | − | 19.3009i | 0.396293 | − | 0.782756i | ||||
\(609\) | 0.383374 | − | 0.439316i | 0.0155351 | − | 0.0178020i | ||||
\(610\) | −43.2486 | + | 35.8160i | −1.75108 | + | 1.45015i | ||||
\(611\) | −4.57971 | − | 17.0917i | −0.185275 | − | 0.691456i | ||||
\(612\) | −2.78548 | − | 7.97231i | −0.112596 | − | 0.322261i | ||||
\(613\) | −5.29950 | + | 19.7780i | −0.214045 | + | 0.798827i | 0.772456 | + | 0.635069i | \(0.219028\pi\) |
−0.986501 | + | 0.163758i | \(0.947638\pi\) | |||||||
\(614\) | −13.5039 | − | 9.58626i | −0.544974 | − | 0.386870i | ||||
\(615\) | 1.60474i | 0.0647093i | ||||||||
\(616\) | −7.74436 | + | 4.98686i | −0.312029 | + | 0.200926i | ||||
\(617\) | 2.64884i | 0.106638i | 0.998578 | + | 0.0533192i | \(0.0169801\pi\) | ||||
−0.998578 | + | 0.0533192i | \(0.983020\pi\) | |||||||
\(618\) | −10.2343 | + | 14.4169i | −0.411685 | + | 0.579931i | ||||
\(619\) | −9.69816 | + | 36.1940i | −0.389802 | + | 1.45476i | 0.440654 | + | 0.897677i | \(0.354747\pi\) |
−0.830456 | + | 0.557084i | \(0.811920\pi\) | |||||||
\(620\) | −49.5352 | − | 23.8832i | −1.98938 | − | 0.959172i | ||||
\(621\) | −1.66298 | − | 6.20631i | −0.0667330 | − | 0.249051i | ||||
\(622\) | −7.67108 | − | 9.26300i | −0.307582 | − | 0.371412i | ||||
\(623\) | 16.9700 | + | 3.33243i | 0.679890 | + | 0.133511i | ||||
\(624\) | −3.07310 | + | 7.80884i | −0.123023 | + | 0.312604i | ||||
\(625\) | 40.4934 | − | 70.1366i | 1.61974 | − | 2.80546i | ||||
\(626\) | 8.01485 | − | 21.5854i | 0.320338 | − | 0.862725i | ||||
\(627\) | 3.89687 | + | 1.04416i | 0.155626 | + | 0.0416999i | ||||
\(628\) | 7.13262 | − | 0.531191i | 0.284622 | − | 0.0211968i | ||||
\(629\) | −0.324731 | − | 0.324731i | −0.0129479 | − | 0.0129479i | ||||
\(630\) | 8.42946 | + | 35.0581i | 0.335838 | + | 1.39675i | ||||
\(631\) | − | 10.0919i | − | 0.401753i | −0.979617 | − | 0.200877i | \(-0.935621\pi\) | ||
0.979617 | − | 0.200877i | \(-0.0643791\pi\) | |||||||
\(632\) | −36.9294 | − | 0.716345i | −1.46897 | − | 0.0284947i | ||||
\(633\) | 15.2217 | − | 8.78826i | 0.605009 | − | 0.349302i | ||||
\(634\) | 29.0899 | − | 13.3366i | 1.15531 | − | 0.529663i | ||||
\(635\) | −4.94955 | + | 1.32623i | −0.196417 | + | 0.0526298i | ||||
\(636\) | 3.20556 | − | 16.8989i | 0.127109 | − | 0.670086i | ||||
\(637\) | −2.15348 | + | 16.9994i | −0.0853239 | + | 0.673539i | ||||
\(638\) | 0.344744 | − | 0.285497i | 0.0136486 | − | 0.0113029i | ||||
\(639\) | −12.7900 | + | 22.1529i | −0.505964 | + | 0.876355i | ||||
\(640\) | −47.7034 | − | 6.35903i | −1.88564 | − | 0.251363i | ||||
\(641\) | −15.3814 | − | 26.6413i | −0.607528 | − | 1.05227i | −0.991646 | − | 0.128986i | \(-0.958828\pi\) |
0.384118 | − | 0.923284i | \(-0.374505\pi\) | |||||||
\(642\) | −1.00806 | − | 5.94134i | −0.0397849 | − | 0.234486i | ||||
\(643\) | 22.2297 | − | 22.2297i | 0.876653 | − | 0.876653i | −0.116533 | − | 0.993187i | \(-0.537178\pi\) |
0.993187 | + | 0.116533i | \(0.0371782\pi\) | |||||||
\(644\) | 7.45797 | − | 1.06797i | 0.293885 | − | 0.0420839i | ||||
\(645\) | −20.2151 | − | 20.2151i | −0.795970 | − | 0.795970i | ||||
\(646\) | −8.21975 | − | 5.83509i | −0.323402 | − | 0.229578i | ||||
\(647\) | −14.3410 | + | 8.27978i | −0.563803 | + | 0.325512i | −0.754670 | − | 0.656104i | \(-0.772203\pi\) |
0.190867 | + | 0.981616i | \(0.438870\pi\) | |||||||
\(648\) | 4.28033 | − | 7.09242i | 0.168147 | − | 0.278617i | ||||
\(649\) | −1.80643 | − | 1.04294i | −0.0709085 | − | 0.0409390i | ||||
\(650\) | −45.1309 | − | 4.24263i | −1.77018 | − | 0.166409i | ||||
\(651\) | −8.17293 | − | 12.1671i | −0.320322 | − | 0.476868i | ||||
\(652\) | 12.6491 | + | 18.5713i | 0.495377 | + | 0.727308i | ||||
\(653\) | −9.67497 | − | 36.1075i | −0.378611 | − | 1.41300i | −0.847996 | − | 0.530002i | \(-0.822191\pi\) |
0.469385 | − | 0.882993i | \(-0.344476\pi\) | |||||||
\(654\) | 4.26566 | − | 11.4882i | 0.166800 | − | 0.449222i | ||||
\(655\) | −6.65220 | − | 11.5219i | −0.259923 | − | 0.450200i | ||||
\(656\) | 1.09652 | + | 1.37761i | 0.0428118 | + | 0.0537866i | ||||
\(657\) | 21.2701 | 0.829824 | ||||||||
\(658\) | 27.0377 | + | 0.698708i | 1.05404 | + | 0.0272385i | ||||
\(659\) | −14.8808 | + | 14.8808i | −0.579674 | + | 0.579674i | −0.934813 | − | 0.355139i | \(-0.884433\pi\) |
0.355139 | + | 0.934813i | \(0.384433\pi\) | |||||||
\(660\) | −0.666529 | − | 8.94989i | −0.0259446 | − | 0.348374i | ||||
\(661\) | −2.96488 | + | 11.0651i | −0.115321 | + | 0.430382i | −0.999311 | − | 0.0371232i | \(-0.988181\pi\) |
0.883990 | + | 0.467506i | \(0.154847\pi\) | |||||||
\(662\) | 6.85300 | + | 14.9479i | 0.266350 | + | 0.580965i | ||||
\(663\) | 3.38634 | + | 1.95510i | 0.131515 | + | 0.0759299i | ||||
\(664\) | 11.7949 | + | 3.40693i | 0.457730 | + | 0.132214i | ||||
\(665\) | 32.4284 | + | 28.2990i | 1.25752 | + | 1.09739i | ||||
\(666\) | 0.0738851 | − | 0.785953i | 0.00286299 | − | 0.0304551i | ||||
\(667\) | −0.353642 | + | 0.0947582i | −0.0136931 | + | 0.00366905i | ||||
\(668\) | −7.72954 | − | 22.1226i | −0.299065 | − | 0.855951i | ||||
\(669\) | 3.91122 | + | 1.04801i | 0.151217 | + | 0.0405183i | ||||
\(670\) | 9.99513 | + | 58.9098i | 0.386146 | + | 2.27588i | ||||
\(671\) | −11.4897 | −0.443555 | ||||||||
\(672\) | −10.1131 | − | 7.89042i | −0.390121 | − | 0.304379i | ||||
\(673\) | 20.7704 | 0.800639 | 0.400319 | − | 0.916376i | \(-0.368899\pi\) | ||||
0.400319 | + | 0.916376i | \(0.368899\pi\) | |||||||
\(674\) | 3.72804 | + | 21.9725i | 0.143599 | + | 0.846349i | ||||
\(675\) | −57.0772 | − | 15.2938i | −2.19690 | − | 0.588658i | ||||
\(676\) | −4.62296 | − | 13.2313i | −0.177806 | − | 0.508897i | ||||
\(677\) | 26.5605 | − | 7.11687i | 1.02080 | − | 0.273524i | 0.290667 | − | 0.956824i | \(-0.406123\pi\) |
0.730137 | + | 0.683301i | \(0.239456\pi\) | |||||||
\(678\) | −0.593044 | + | 6.30851i | −0.0227757 | + | 0.242277i | ||||
\(679\) | −4.26578 | + | 1.45968i | −0.163706 | + | 0.0560174i | ||||
\(680\) | −6.22284 | + | 21.5436i | −0.238635 | + | 0.826161i | ||||
\(681\) | 12.2239 | + | 7.05746i | 0.468420 | + | 0.270442i | ||||
\(682\) | −4.68931 | − | 10.2284i | −0.179563 | − | 0.391665i | ||||
\(683\) | −0.558762 | + | 2.08533i | −0.0213804 | + | 0.0797928i | −0.975792 | − | 0.218702i | \(-0.929818\pi\) |
0.954411 | + | 0.298495i | \(0.0964845\pi\) | |||||||
\(684\) | −1.28690 | − | 17.2799i | −0.0492057 | − | 0.660714i | ||||
\(685\) | 0.994563 | − | 0.994563i | 0.0380003 | − | 0.0380003i | ||||
\(686\) | −23.9827 | − | 10.5277i | −0.915662 | − | 0.401949i | ||||
\(687\) | −11.8083 | −0.450517 | ||||||||
\(688\) | −31.1669 | − | 3.54093i | −1.18823 | − | 0.134997i | ||||
\(689\) | −12.2819 | − | 21.2728i | −0.467902 | − | 0.810429i | ||||
\(690\) | −2.55521 | + | 6.88161i | −0.0972750 | + | 0.261979i | ||||
\(691\) | −0.631272 | − | 2.35594i | −0.0240147 | − | 0.0896242i | 0.952878 | − | 0.303352i | \(-0.0981059\pi\) |
−0.976893 | + | 0.213728i | \(0.931439\pi\) | |||||||
\(692\) | −12.3287 | − | 18.1009i | −0.468666 | − | 0.688091i | ||||
\(693\) | −3.24691 | + | 6.62488i | −0.123340 | + | 0.251658i | ||||
\(694\) | 21.4976 | + | 2.02092i | 0.816036 | + | 0.0767131i | ||||
\(695\) | −12.5708 | − | 7.25775i | −0.476837 | − | 0.275302i | ||||
\(696\) | 0.533675 | + | 0.322076i | 0.0202289 | + | 0.0122083i | ||||
\(697\) | 0.710506 | − | 0.410211i | 0.0269124 | − | 0.0155379i | ||||
\(698\) | −10.7983 | − | 7.66555i | −0.408721 | − | 0.290145i | ||||
\(699\) | 8.45369 | + | 8.45369i | 0.319748 | + | 0.319748i | ||||
\(700\) | 25.7883 | − | 64.3100i | 0.974705 | − | 2.43069i | ||||
\(701\) | 6.81795 | − | 6.81795i | 0.257510 | − | 0.257510i | −0.566530 | − | 0.824041i | \(-0.691715\pi\) |
0.824041 | + | 0.566530i | \(0.191715\pi\) | |||||||
\(702\) | 2.61327 | + | 15.4022i | 0.0986317 | + | 0.581320i | ||||
\(703\) | −0.471146 | − | 0.816049i | −0.0177696 | − | 0.0307779i | ||||
\(704\) | −6.68765 | − | 7.22771i | −0.252050 | − | 0.272405i | ||||
\(705\) | −13.1763 | + | 22.8220i | −0.496247 | + | 0.859525i | ||||
\(706\) | 23.7516 | − | 19.6697i | 0.893904 | − | 0.740280i | ||||
\(707\) | 0.438885 | + | 6.45421i | 0.0165060 | + | 0.242736i | ||||
\(708\) | 0.541347 | − | 2.85384i | 0.0203450 | − | 0.107254i | ||||
\(709\) | 11.3630 | − | 3.04470i | 0.426745 | − | 0.114346i | −0.0390527 | − | 0.999237i | \(-0.512434\pi\) |
0.465798 | + | 0.884891i | \(0.345767\pi\) | |||||||
\(710\) | 61.7446 | − | 28.3074i | 2.31723 | − | 1.06236i | ||||
\(711\) | −25.6212 | + | 14.7924i | −0.960869 | + | 0.554758i | ||||
\(712\) | −0.358562 | + | 18.4847i | −0.0134377 | + | 0.692745i | ||||
\(713\) | 9.20346i | 0.344672i | ||||||||
\(714\) | −4.33404 | + | 4.11568i | −0.162197 | + | 0.154026i | ||||
\(715\) | −9.06280 | − | 9.06280i | −0.338929 | − | 0.338929i | ||||
\(716\) | 33.3396 | − | 2.48292i | 1.24596 | − | 0.0927910i | ||||
\(717\) | −19.1888 | − | 5.14163i | −0.716619 | − | 0.192018i | ||||
\(718\) | −16.9513 | + | 45.6529i | −0.632619 | + | 1.70375i | ||||
\(719\) | −16.4827 | + | 28.5490i | −0.614703 | + | 1.06470i | 0.375734 | + | 0.926728i | \(0.377391\pi\) |
−0.990437 | + | 0.137969i | \(0.955943\pi\) | |||||||
\(720\) | −35.3449 | + | 15.3818i | −1.31723 | + | 0.573247i | ||||
\(721\) | −37.8705 | − | 7.43668i | −1.41037 | − | 0.276956i | ||||
\(722\) | 3.94601 | + | 4.76490i | 0.146855 | + | 0.177331i | ||||
\(723\) | 0.930267 | + | 3.47180i | 0.0345970 | + | 0.129118i | ||||
\(724\) | 40.7110 | + | 19.6286i | 1.51301 | + | 0.729492i | ||||
\(725\) | −0.871457 | + | 3.25232i | −0.0323651 | + | 0.120788i | ||||
\(726\) | −6.65466 | + | 9.37426i | −0.246977 | + | 0.347911i | ||||
\(727\) | − | 13.8871i | − | 0.515045i | −0.966272 | − | 0.257523i | \(-0.917094\pi\) | ||
0.966272 | − | 0.257523i | \(-0.0829062\pi\) | |||||||
\(728\) | −18.2968 | + | 0.888090i | −0.678123 | + | 0.0329148i | ||||
\(729\) | 4.96768i | 0.183988i | ||||||||
\(730\) | −46.0552 | − | 32.6939i | −1.70458 | − | 1.21006i | ||||
\(731\) | −3.78286 | + | 14.1178i | −0.139914 | + | 0.522167i | ||||
\(732\) | −5.27753 | − | 15.1048i | −0.195063 | − | 0.558289i | ||||
\(733\) | −2.86505 | − | 10.6925i | −0.105823 | − | 0.394936i | 0.892614 | − | 0.450821i | \(-0.148869\pi\) |
−0.998437 | + | 0.0558846i | \(0.982202\pi\) | |||||||
\(734\) | 3.61207 | − | 2.99131i | 0.133324 | − | 0.110411i | ||||
\(735\) | 20.1697 | − | 15.6341i | 0.743970 | − | 0.576671i | ||||
\(736\) | 2.50866 | + | 7.65359i | 0.0924704 | + | 0.282115i | ||||
\(737\) | −6.11297 | + | 10.5880i | −0.225174 | + | 0.390013i | ||||
\(738\) | 1.32209 | + | 0.490903i | 0.0486667 | + | 0.0180704i | ||||
\(739\) | 10.7856 | + | 2.88999i | 0.396754 | + | 0.106310i | 0.451679 | − | 0.892181i | \(-0.350825\pi\) |
−0.0549249 | + | 0.998490i | \(0.517492\pi\) | |||||||
\(740\) | −1.36806 | + | 1.58822i | −0.0502909 | + | 0.0583843i | ||||
\(741\) | 5.67325 | + | 5.67325i | 0.208412 | + | 0.208412i | ||||
\(742\) | 36.5058 | − | 8.77755i | 1.34017 | − | 0.322234i | ||||
\(743\) | − | 49.5292i | − | 1.81705i | −0.417832 | − | 0.908524i | \(-0.637210\pi\) | ||
0.417832 | − | 0.908524i | \(-0.362790\pi\) | |||||||
\(744\) | 11.2927 | − | 10.8629i | 0.414009 | − | 0.398253i | ||||
\(745\) | −9.01507 | + | 5.20485i | −0.330287 | + | 0.190691i | ||||
\(746\) | −13.7237 | − | 29.9344i | −0.502461 | − | 1.09598i | ||||
\(747\) | 9.49845 | − | 2.54510i | 0.347530 | − | 0.0931204i | ||||
\(748\) | −3.79223 | + | 2.58292i | −0.138658 | + | 0.0944411i | ||||
\(749\) | 10.9198 | − | 7.33504i | 0.398999 | − | 0.268017i | ||||
\(750\) | 26.6170 | + | 32.1407i | 0.971917 | + | 1.17361i | ||||
\(751\) | 0.523146 | − | 0.906116i | 0.0190899 | − | 0.0330646i | −0.856323 | − | 0.516441i | \(-0.827256\pi\) |
0.875413 | + | 0.483377i | \(0.160590\pi\) | |||||||
\(752\) | 4.28292 | + | 28.5952i | 0.156182 | + | 1.04276i | ||||
\(753\) | −10.0562 | − | 17.4178i | −0.366467 | − | 0.634739i | ||||
\(754\) | 0.877637 | − | 0.148907i | 0.0319616 | − | 0.00542288i | ||||
\(755\) | 39.7052 | − | 39.7052i | 1.44502 | − | 1.44502i | ||||
\(756\) | −23.7087 | − | 2.84838i | −0.862277 | − | 0.103595i | ||||
\(757\) | −29.5274 | − | 29.5274i | −1.07319 | − | 1.07319i | −0.997101 | − | 0.0760892i | \(-0.975757\pi\) |
−0.0760892 | − | 0.997101i | \(-0.524243\pi\) | |||||||
\(758\) | −3.21003 | + | 4.52189i | −0.116593 | + | 0.164242i | ||||
\(759\) | −1.30077 | + | 0.750998i | −0.0472148 | + | 0.0272595i | ||||
\(760\) | −23.7743 | + | 39.3936i | −0.862384 | + | 1.42895i | ||||
\(761\) | 33.9144 | + | 19.5805i | 1.22940 | + | 0.709793i | 0.966904 | − | 0.255141i | \(-0.0821220\pi\) |
0.262493 | + | 0.964934i | \(0.415455\pi\) | |||||||
\(762\) | 0.136653 | − | 1.45365i | 0.00495043 | − | 0.0526602i | ||||
\(763\) | 26.6886 | − | 1.81482i | 0.966193 | − | 0.0657009i | ||||
\(764\) | −3.71216 | + | 19.5696i | −0.134301 | + | 0.708002i | ||||
\(765\) | 4.64869 | + | 17.3492i | 0.168074 | + | 0.627260i | ||||
\(766\) | −28.3590 | − | 10.5300i | −1.02465 | − | 0.380463i | ||||
\(767\) | −2.07412 | − | 3.59249i | −0.0748923 | − | 0.129717i | ||||
\(768\) | 6.42998 | − | 12.1117i | 0.232022 | − | 0.437043i | ||||
\(769\) | 28.7025 | 1.03504 | 0.517519 | − | 0.855672i | \(-0.326856\pi\) | ||||
0.517519 | + | 0.855672i | \(0.326856\pi\) | |||||||
\(770\) | 17.2134 | − | 9.35379i | 0.620329 | − | 0.337087i | ||||
\(771\) | 6.69929 | − | 6.69929i | 0.241269 | − | 0.241269i | ||||
\(772\) | 12.1928 | + | 10.5026i | 0.438827 | + | 0.377996i | ||||
\(773\) | 3.90180 | − | 14.5617i | 0.140338 | − | 0.523748i | −0.859581 | − | 0.511000i | \(-0.829275\pi\) |
0.999919 | − | 0.0127485i | \(-0.00405807\pi\) | |||||||
\(774\) | −22.8385 | + | 10.4705i | −0.820913 | + | 0.376356i | ||||
\(775\) | 73.3012 | + | 42.3205i | 2.63306 | + | 1.52020i | ||||
\(776\) | −2.32854 | − | 4.22011i | −0.0835899 | − | 0.151493i | ||||
\(777\) | −0.528616 | + | 0.180884i | −0.0189640 | + | 0.00648917i | ||||
\(778\) | −35.4312 | − | 3.33078i | −1.27027 | − | 0.119414i | ||||
\(779\) | 1.62603 | − | 0.435693i | 0.0582586 | − | 0.0156103i | ||||
\(780\) | 7.75149 | − | 16.0771i | 0.277548 | − | 0.575651i | ||||
\(781\) | 13.4246 | + | 3.59710i | 0.480369 | + | 0.128715i | ||||
\(782\) | 3.70005 | − | 0.627781i | 0.132313 | − | 0.0224494i | ||||
\(783\) | 1.16041 | 0.0414697 | ||||||||
\(784\) | 6.63216 | − | 27.2032i | 0.236863 | − | 0.971543i | ||||
\(785\) | −15.2121 | −0.542944 | ||||||||
\(786\) | 3.73750 | − | 0.634135i | 0.133312 | − | 0.0226188i | ||||
\(787\) | 22.6434 | + | 6.06728i | 0.807150 | + | 0.216275i | 0.638721 | − | 0.769438i | \(-0.279464\pi\) |
0.168429 | + | 0.985714i | \(0.446131\pi\) | |||||||
\(788\) | −15.3363 | − | 7.39431i | −0.546331 | − | 0.263411i | ||||
\(789\) | −13.5677 | + | 3.63546i | −0.483024 | + | 0.129426i | ||||
\(790\) | 78.2136 | + | 7.35263i | 2.78272 | + | 0.261595i | ||||
\(791\) | −13.0865 | + | 4.47800i | −0.465303 | + | 0.159219i | ||||
\(792\) | −7.57739 | − | 2.18872i | −0.269251 | − | 0.0777727i | ||||
\(793\) | −19.7886 | − | 11.4249i | −0.702713 | − | 0.405712i | ||||
\(794\) | −0.502680 | + | 0.230459i | −0.0178394 | + | 0.00817867i | ||||
\(795\) | −9.46828 | + | 35.3361i | −0.335805 | + | 1.25324i | ||||
\(796\) | −19.2639 | + | 22.3640i | −0.682790 | + | 0.792673i | ||||
\(797\) | 3.81531 | − | 3.81531i | 0.135145 | − | 0.135145i | −0.636298 | − | 0.771443i | \(-0.719535\pi\) |
0.771443 | + | 0.636298i | \(0.219535\pi\) | |||||||
\(798\) | −10.7755 | + | 5.85541i | −0.381448 | + | 0.207279i | ||||
\(799\) | 13.4727 | 0.476631 | ||||||||
\(800\) | 72.4928 | + | 15.2134i | 2.56301 | + | 0.537873i | ||||
\(801\) | 7.40422 | + | 12.8245i | 0.261615 | + | 0.453131i | ||||
\(802\) | −26.3219 | − | 9.77355i | −0.929458 | − | 0.345116i | ||||
\(803\) | −2.99104 | − | 11.1627i | −0.105551 | − | 0.393923i | ||||
\(804\) | −16.7272 | − | 3.17298i | −0.589922 | − | 0.111903i | ||||
\(805\) | −15.9870 | + | 1.08711i | −0.563467 | + | 0.0383156i | ||||
\(806\) | 2.09439 | − | 22.2791i | 0.0737718 | − | 0.784748i | ||||
\(807\) | −0.956619 | − | 0.552304i | −0.0336746 | − | 0.0194420i | ||||
\(808\) | −6.71359 | + | 1.66004i | −0.236183 | + | 0.0584001i | ||||
\(809\) | −24.7881 | + | 14.3114i | −0.871505 | + | 0.503164i | −0.867848 | − | 0.496830i | \(-0.834497\pi\) |
−0.00365682 | + | 0.999993i | \(0.501164\pi\) | |||||||
\(810\) | −10.1988 | + | 14.3668i | −0.358350 | + | 0.504799i | ||||
\(811\) | 9.30808 | + | 9.30808i | 0.326851 | + | 0.326851i | 0.851388 | − | 0.524537i | \(-0.175762\pi\) |
−0.524537 | + | 0.851388i | \(0.675762\pi\) | |||||||
\(812\) | −0.162304 | + | 1.35095i | −0.00569575 | + | 0.0474089i | ||||
\(813\) | 12.2039 | − | 12.2039i | 0.428008 | − | 0.428008i | ||||
\(814\) | −0.422865 | + | 0.0717467i | −0.0148214 | + | 0.00251472i | ||||
\(815\) | −23.8951 | − | 41.3875i | −0.837009 | − | 1.44974i | ||||
\(816\) | −5.13748 | − | 3.79899i | −0.179848 | − | 0.132991i | ||||
\(817\) | −14.9948 | + | 25.9718i | −0.524603 | + | 0.908639i | ||||
\(818\) | 31.7156 | + | 38.2973i | 1.10891 | + | 1.33903i | ||||
\(819\) | −12.1797 | + | 8.18134i | −0.425592 | + | 0.285879i | ||||
\(820\) | −2.10810 | − | 3.09510i | −0.0736180 | − | 0.108085i | ||||
\(821\) | −16.1169 | + | 4.31850i | −0.562482 | + | 0.150717i | −0.528846 | − | 0.848718i | \(-0.677375\pi\) |
−0.0336357 | + | 0.999434i | \(0.510709\pi\) | |||||||
\(822\) | 0.167021 | + | 0.364309i | 0.00582553 | + | 0.0127067i | ||||
\(823\) | 9.41497 | − | 5.43573i | 0.328185 | − | 0.189478i | −0.326850 | − | 0.945076i | \(-0.605987\pi\) |
0.655035 | + | 0.755598i | \(0.272654\pi\) | |||||||
\(824\) | 0.800169 | − | 41.2507i | 0.0278752 | − | 1.43704i | ||||
\(825\) | 13.8133i | 0.480918i | ||||||||
\(826\) | 6.16500 | − | 1.48233i | 0.214508 | − | 0.0515767i | ||||
\(827\) | 9.97483 | + | 9.97483i | 0.346859 | + | 0.346859i | 0.858938 | − | 0.512079i | \(-0.171125\pi\) |
−0.512079 | + | 0.858938i | \(0.671125\pi\) | |||||||
\(828\) | 4.88786 | + | 4.21029i | 0.169865 | + | 0.146318i | ||||
\(829\) | 24.9645 | + | 6.68921i | 0.867052 | + | 0.232326i | 0.664813 | − | 0.747010i | \(-0.268511\pi\) |
0.202240 | + | 0.979336i | \(0.435178\pi\) | |||||||
\(830\) | −24.4786 | − | 9.08914i | −0.849666 | − | 0.315489i | ||||
\(831\) | 13.8312 | − | 23.9564i | 0.479801 | − | 0.831039i | ||||
\(832\) | −4.33109 | − | 19.0982i | −0.150154 | − | 0.662109i | ||||
\(833\) | −12.0779 | − | 4.93378i | −0.418476 | − | 0.170945i | ||||
\(834\) | 3.18548 | − | 2.63803i | 0.110304 | − | 0.0913475i | ||||
\(835\) | 12.8998 | + | 48.1428i | 0.446417 | + | 1.66605i | ||||
\(836\) | −8.88767 | + | 3.10531i | −0.307387 | + | 0.107399i | ||||
\(837\) | 7.54985 | − | 28.1764i | 0.260961 | − | 0.973920i | ||||
\(838\) | −28.0306 | − | 19.8985i | −0.968301 | − | 0.687384i | ||||
\(839\) | − | 35.9931i | − | 1.24262i | −0.783565 | − | 0.621310i | \(-0.786601\pi\) | ||
0.783565 | − | 0.621310i | \(-0.213399\pi\) | |||||||
\(840\) | 20.2034 | + | 18.3329i | 0.697084 | + | 0.632546i | ||||
\(841\) | 28.9339i | 0.997720i | ||||||||
\(842\) | −14.9974 | + | 21.1265i | −0.516845 | + | 0.728067i | ||||
\(843\) | 3.02708 | − | 11.2972i | 0.104258 | − | 0.389097i | ||||
\(844\) | −17.8136 | + | 36.9465i | −0.613169 | + | 1.27175i | ||||
\(845\) | 7.71526 | + | 28.7937i | 0.265413 | + | 0.990535i | ||||
\(846\) | 14.7715 | + | 17.8369i | 0.507854 | + | 0.613245i | ||||
\(847\) | −24.6245 | − | 4.83554i | −0.846107 | − | 0.166151i | ||||
\(848\) | 16.0170 | + | 36.8044i | 0.550026 | + | 1.26387i | ||||
\(849\) | −8.05167 | + | 13.9459i | −0.276333 | + | 0.478622i | ||||
\(850\) | 12.0140 | − | 32.3558i | 0.412078 | − | 1.10980i | ||||
\(851\) | 0.338864 | + | 0.0907985i | 0.0116161 | + | 0.00311253i | ||||
\(852\) | 1.43739 | + | 19.3007i | 0.0492441 | + | 0.661230i | ||||
\(853\) | 11.5045 | + | 11.5045i | 0.393906 | + | 0.393906i | 0.876077 | − | 0.482171i | \(-0.160152\pi\) |
−0.482171 | + | 0.876077i | \(0.660152\pi\) | |||||||
\(854\) | 25.3266 | − | 24.0506i | 0.866659 | − | 0.822995i | ||||
\(855\) | 36.8538i | 1.26037i | ||||||||
\(856\) | 9.74924 | + | 10.1349i | 0.333222 | + | 0.346405i | ||||
\(857\) | −46.8795 | + | 27.0659i | −1.60137 | + | 0.924554i | −0.610161 | + | 0.792277i | \(0.708895\pi\) |
−0.991213 | + | 0.132276i | \(0.957771\pi\) | |||||||
\(858\) | 3.31970 | − | 1.52195i | 0.113333 | − | 0.0519586i | ||||
\(859\) | −6.87557 | + | 1.84230i | −0.234591 | + | 0.0628586i | −0.374199 | − | 0.927348i | \(-0.622082\pi\) |
0.139608 | + | 0.990207i | \(0.455416\pi\) | |||||||
\(860\) | 65.5454 | + | 12.4333i | 2.23508 | + | 0.423973i | ||||
\(861\) | −0.0677157 | − | 0.995822i | −0.00230775 | − | 0.0339375i | ||||
\(862\) | −6.21337 | + | 5.14555i | −0.211628 | + | 0.175258i | ||||
\(863\) | −8.29596 | + | 14.3690i | −0.282398 | + | 0.489127i | −0.971975 | − | 0.235085i | \(-0.924463\pi\) |
0.689577 | + | 0.724212i | \(0.257796\pi\) | |||||||
\(864\) | −1.40182 | − | 25.4894i | −0.0476910 | − | 0.867167i | ||||
\(865\) | 23.2898 | + | 40.3391i | 0.791877 | + | 1.37157i | ||||
\(866\) | −1.91426 | − | 11.2824i | −0.0650493 | − | 0.383391i | ||||
\(867\) | 8.19713 | − | 8.19713i | 0.278389 | − | 0.278389i | ||||
\(868\) | 31.7470 | + | 12.7305i | 1.07756 | + | 0.432101i | ||||
\(869\) | 11.3661 | + | 11.3661i | 0.385567 | + | 0.385567i | ||||
\(870\) | −1.08104 | − | 0.767418i | −0.0366508 | − | 0.0260179i | ||||
\(871\) | −21.0566 | + | 12.1570i | −0.713475 | + | 0.411925i | ||||
\(872\) | 6.86440 | + | 27.7611i | 0.232458 | + | 0.940111i | ||||
\(873\) | −3.34336 | − | 1.93029i | −0.113156 | − | 0.0653305i | ||||
\(874\) | 7.66667 | + | 0.720721i | 0.259329 | + | 0.0243788i | ||||
\(875\) | −40.0901 | + | 81.7984i | −1.35529 | + | 2.76529i | ||||
\(876\) | 13.3010 | − | 9.05944i | 0.449399 | − | 0.306090i | ||||
\(877\) | −7.85634 | − | 29.3202i | −0.265290 | − | 0.990074i | −0.962073 | − | 0.272793i | \(-0.912053\pi\) |
0.696783 | − | 0.717282i | \(-0.254614\pi\) | |||||||
\(878\) | −3.47524 | + | 9.35942i | −0.117284 | + | 0.315865i | ||||
\(879\) | 1.32981 | + | 2.30330i | 0.0448534 | + | 0.0776883i | ||||
\(880\) | 13.0428 | + | 16.3863i | 0.439672 | + | 0.552381i | ||||
\(881\) | −48.7213 | −1.64146 | −0.820731 | − | 0.571314i | \(-0.806434\pi\) | ||||
−0.820731 | + | 0.571314i | \(0.806434\pi\) | |||||||
\(882\) | −6.71027 | − | 21.3997i | −0.225947 | − | 0.720564i | ||||
\(883\) | 2.32744 | − | 2.32744i | 0.0783247 | − | 0.0783247i | −0.666859 | − | 0.745184i | \(-0.732362\pi\) |
0.745184 | + | 0.666859i | \(0.232362\pi\) | |||||||
\(884\) | −9.09968 | + | 0.677685i | −0.306055 | + | 0.0227930i | ||||
\(885\) | −1.59898 | + | 5.96746i | −0.0537490 | + | 0.200594i | ||||
\(886\) | −9.00541 | − | 19.6427i | −0.302543 | − | 0.659910i | ||||
\(887\) | −45.9577 | − | 26.5337i | −1.54311 | − | 0.890914i | −0.998640 | − | 0.0521315i | \(-0.983399\pi\) |
−0.544467 | − | 0.838782i | \(-0.683268\pi\) | |||||||
\(888\) | −0.288554 | − | 0.522957i | −0.00968323 | − | 0.0175493i | ||||
\(889\) | 3.01549 | − | 1.03185i | 0.101136 | − | 0.0346072i | ||||
\(890\) | 3.68031 | − | 39.1493i | 0.123364 | − | 1.31229i | ||||
\(891\) | −3.48219 | + | 0.933049i | −0.116658 | + | 0.0312583i | ||||
\(892\) | −8.92040 | + | 3.11674i | −0.298677 | + | 0.104356i | ||||
\(893\) | 26.7022 | + | 7.15483i | 0.893555 | + | 0.239427i | ||||
\(894\) | −0.496163 | − | 2.92431i | −0.0165942 | − | 0.0978036i | ||||
\(895\) | −71.1052 | −2.37678 | ||||||||
\(896\) | 29.8708 | + | 1.93315i | 0.997912 | + | 0.0645819i | ||||
\(897\) | −2.98706 | −0.0997350 | ||||||||
\(898\) | 4.61351 | + | 27.1914i | 0.153955 | + | 0.907388i | ||||
\(899\) | −1.60552 | − | 0.430199i | −0.0535472 | − | 0.0143479i | ||||
\(900\) | 56.0089 | − | 19.5692i | 1.86696 | − | 0.652307i | ||||
\(901\) | 18.0656 | − | 4.84066i | 0.601852 | − | 0.161266i | ||||
\(902\) | 0.0717155 | − | 0.762874i | 0.00238786 | − | 0.0254009i | ||||
\(903\) | 13.3975 | + | 11.6915i | 0.445842 | + | 0.389069i | ||||
\(904\) | −7.14349 | − | 12.9464i | −0.237589 | − | 0.430592i | ||||
\(905\) | −83.2470 | − | 48.0627i | −2.76723 | − | 1.59766i | ||||
\(906\) | 6.66786 | + | 14.5440i | 0.221525 | + | 0.483193i | ||||
\(907\) | 14.4466 | − | 53.9154i | 0.479691 | − | 1.79023i | −0.123172 | − | 0.992385i | \(-0.539307\pi\) |
0.602863 | − | 0.797845i | \(-0.294027\pi\) | |||||||
\(908\) | −32.8477 | + | 2.44628i | −1.09009 | + | 0.0811827i | ||||
\(909\) | −3.91688 | + | 3.91688i | −0.129915 | + | 0.129915i | ||||
\(910\) | 38.9475 | + | 1.00648i | 1.29110 | + | 0.0333646i | ||||
\(911\) | −44.7554 | −1.48281 | −0.741406 | − | 0.671057i | \(-0.765841\pi\) | ||||
−0.741406 | + | 0.671057i | \(0.765841\pi\) | |||||||
\(912\) | −8.16469 | − | 10.2577i | −0.270360 | − | 0.339666i | ||||
\(913\) | −2.67138 | − | 4.62696i | −0.0884097 | − | 0.153130i | ||||
\(914\) | 4.95995 | − | 13.3580i | 0.164061 | − | 0.441844i | ||||
\(915\) | 8.80768 | + | 32.8707i | 0.291173 | + | 1.08667i | ||||
\(916\) | 22.7750 | − | 15.5123i | 0.752509 | − | 0.512541i | ||||
\(917\) | 4.61423 | + | 6.86925i | 0.152375 | + | 0.226843i | ||||
\(918\) | −11.8427 | − | 1.11330i | −0.390867 | − | 0.0367443i | ||||
\(919\) | 19.8098 | + | 11.4372i | 0.653464 | + | 0.377277i | 0.789782 | − | 0.613388i | \(-0.210194\pi\) |
−0.136318 | + | 0.990665i | \(0.543527\pi\) | |||||||
\(920\) | −4.11190 | − | 16.6294i | −0.135565 | − | 0.548256i | ||||
\(921\) | −8.69148 | + | 5.01803i | −0.286394 | + | 0.165350i | ||||
\(922\) | −25.9989 | − | 18.4562i | −0.856227 | − | 0.607824i | ||||
\(923\) | 19.5442 | + | 19.5442i | 0.643304 | + | 0.643304i | ||||
\(924\) | 0.791278 | + | 5.52574i | 0.0260311 | + | 0.181783i | ||||
\(925\) | 2.28137 | − | 2.28137i | 0.0750111 | − | 0.0750111i | ||||
\(926\) | −1.94801 | − | 11.4813i | −0.0640156 | − | 0.377298i | ||||
\(927\) | −16.5233 | − | 28.6192i | −0.542697 | − | 0.939979i | ||||
\(928\) | −1.45241 | + | 0.0798774i | −0.0476778 | + | 0.00262210i | ||||
\(929\) | 13.2871 | − | 23.0139i | 0.435935 | − | 0.755062i | −0.561436 | − | 0.827520i | \(-0.689751\pi\) |
0.997371 | + | 0.0724577i | \(0.0230842\pi\) | |||||||
\(930\) | −25.6675 | + | 21.2563i | −0.841671 | + | 0.697023i | ||||
\(931\) | −21.3177 | − | 16.1926i | −0.698658 | − | 0.530690i | ||||
\(932\) | −27.4102 | − | 5.19946i | −0.897852 | − | 0.170314i | ||||
\(933\) | −7.04026 | + | 1.88643i | −0.230488 | + | 0.0617590i | ||||
\(934\) | −44.4255 | + | 20.3673i | −1.45365 | + | 0.666440i | ||||
\(935\) | 8.45127 | − | 4.87934i | 0.276386 | − | 0.159572i | ||||
\(936\) | −10.8741 | − | 11.3043i | −0.355430 | − | 0.369492i | ||||
\(937\) | − | 11.8582i | − | 0.387391i | −0.981062 | − | 0.193696i | \(-0.937953\pi\) | ||
0.981062 | − | 0.193696i | \(-0.0620474\pi\) | |||||||
\(938\) | −8.68833 | − | 36.1348i | −0.283684 | − | 1.17984i | ||||
\(939\) | −9.86686 | − | 9.86686i | −0.321993 | − | 0.321993i | ||||
\(940\) | −4.56720 | − | 61.3265i | −0.148966 | − | 2.00025i | ||||
\(941\) | −2.04535 | − | 0.548049i | −0.0666764 | − | 0.0178659i | 0.225327 | − | 0.974283i | \(-0.427655\pi\) |
−0.292003 | + | 0.956417i | \(0.594322\pi\) | |||||||
\(942\) | 1.50878 | − | 4.06342i | 0.0491588 | − | 0.132393i | ||||
\(943\) | −0.313366 | + | 0.542765i | −0.0102046 | + | 0.0176749i | ||||
\(944\) | 2.70491 | + | 6.21542i | 0.0880372 | + | 0.202295i | ||||
\(945\) | 49.8360 | + | 9.78636i | 1.62116 | + | 0.318350i | ||||
\(946\) | 8.70662 | + | 10.5134i | 0.283077 | + | 0.341821i | ||||
\(947\) | 1.38876 | + | 5.18291i | 0.0451285 | + | 0.168422i | 0.984812 | − | 0.173623i | \(-0.0555473\pi\) |
−0.939684 | + | 0.342045i | \(0.888881\pi\) | |||||||
\(948\) | −9.72148 | + | 20.1630i | −0.315739 | + | 0.654862i | ||||
\(949\) | 5.94835 | − | 22.1995i | 0.193092 | − | 0.720628i | ||||
\(950\) | 40.9940 | − | 57.7473i | 1.33002 | − | 1.87357i | ||||
\(951\) | − | 19.3935i | − | 0.628878i | ||||||
\(952\) | 2.95251 | − | 13.6315i | 0.0956913 | − | 0.441800i | ||||
\(953\) | 3.43130i | 0.111151i | 0.998454 | + | 0.0555753i | \(0.0176993\pi\) | ||||
−0.998454 | + | 0.0555753i | \(0.982301\pi\) | |||||||
\(954\) | 26.2157 | + | 18.6102i | 0.848766 | + | 0.602527i | ||||
\(955\) | 10.9646 | − | 40.9205i | 0.354806 | − | 1.32415i | ||||
\(956\) | 43.7643 | − | 15.2910i | 1.41544 | − | 0.494547i | ||||
\(957\) | −0.0702080 | − | 0.262020i | −0.00226950 | − | 0.00846989i | ||||
\(958\) | −8.06510 | + | 6.67905i | −0.260572 | + | 0.215790i | ||||
\(959\) | −0.575210 | + | 0.659145i | −0.0185745 | + | 0.0212849i | ||||
\(960\) | −15.5511 | + | 24.6731i | −0.501908 | + | 0.796322i | ||||
\(961\) | −5.39169 | + | 9.33869i | −0.173926 | + | 0.301248i | ||||
\(962\) | −0.799637 | − | 0.296913i | −0.0257813 | − | 0.00957284i | ||||
\(963\) | 10.8801 | + | 2.91531i | 0.350606 | + | 0.0939446i | ||||
\(964\) | −6.35504 | − | 5.47408i | −0.204682 | − | 0.176308i | ||||
\(965\) | −24.2018 | − | 24.2018i | −0.779083 | − | 0.779083i | ||||
\(966\) | 1.29525 | − | 4.37822i | 0.0416740 | − | 0.140867i | ||||
\(967\) | 19.4110i | 0.624217i | 0.950046 | + | 0.312108i | \(0.101035\pi\) | ||||
−0.950046 | + | 0.312108i | \(0.898965\pi\) | |||||||
\(968\) | 0.520293 | − | 26.8224i | 0.0167229 | − | 0.862104i | ||||
\(969\) | −5.29044 | + | 3.05444i | −0.169954 | + | 0.0981227i | ||||
\(970\) | 4.27222 | + | 9.31862i | 0.137173 | + | 0.299203i | ||||
\(971\) | 19.4567 | − | 5.21341i | 0.624396 | − | 0.167306i | 0.0672705 | − | 0.997735i | \(-0.478571\pi\) |
0.557125 | + | 0.830428i | \(0.311904\pi\) | |||||||
\(972\) | −18.0684 | − | 26.5279i | −0.579545 | − | 0.850883i | ||||
\(973\) | 8.10708 | + | 3.97335i | 0.259901 | + | 0.127380i | ||||
\(974\) | −30.6695 | − | 37.0342i | −0.982715 | − | 1.18665i | ||||
\(975\) | −13.7354 | + | 23.7905i | −0.439886 | + | 0.761905i | ||||
\(976\) | 30.0216 | + | 22.2000i | 0.960969 | + | 0.710604i | ||||
\(977\) | −8.78731 | − | 15.2201i | −0.281131 | − | 0.486933i | 0.690533 | − | 0.723301i | \(-0.257376\pi\) |
−0.971664 | + | 0.236368i | \(0.924043\pi\) | |||||||
\(978\) | 13.4253 | − | 2.27785i | 0.429294 | − | 0.0728376i | ||||
\(979\) | 5.68920 | − | 5.68920i | 0.181828 | − | 0.181828i | ||||
\(980\) | −18.3637 | + | 56.6501i | −0.586607 | + | 1.80962i | ||||
\(981\) | 16.1966 | + | 16.1966i | 0.517117 | + | 0.517117i | ||||
\(982\) | −2.36025 | + | 3.32483i | −0.0753187 | + | 0.106100i | ||||
\(983\) | 47.7497 | − | 27.5683i | 1.52298 | − | 0.879292i | 0.523347 | − | 0.852119i | \(-0.324683\pi\) |
0.999631 | − | 0.0271723i | \(-0.00865028\pi\) | |||||||
\(984\) | 1.03584 | − | 0.256129i | 0.0330214 | − | 0.00816508i | ||||
\(985\) | 31.3600 | + | 18.1057i | 0.999214 | + | 0.576896i | ||||
\(986\) | −0.0634368 | + | 0.674809i | −0.00202024 | + | 0.0214903i | ||||
\(987\) | 7.21352 | − | 14.7182i | 0.229609 | − | 0.468486i | ||||
\(988\) | −18.3949 | − | 3.48934i | −0.585221 | − | 0.111011i | ||||
\(989\) | −2.88978 | − | 10.7848i | −0.0918896 | − | 0.342937i | ||||
\(990\) | 15.7258 | + | 5.83915i | 0.499800 | + | 0.185580i | ||||
\(991\) | 18.4719 | + | 31.9943i | 0.586781 | + | 1.01633i | 0.994651 | + | 0.103294i | \(0.0329382\pi\) |
−0.407870 | + | 0.913040i | \(0.633728\pi\) | |||||||
\(992\) | −7.51014 | + | 35.7864i | −0.238447 | + | 1.13622i | ||||
\(993\) | 9.96536 | 0.316241 | ||||||||
\(994\) | −37.1212 | + | 20.1717i | −1.17741 | + | 0.639807i | ||||
\(995\) | 44.3910 | − | 44.3910i | 1.40729 | − | 1.40729i | ||||
\(996\) | 4.85573 | − | 5.63718i | 0.153860 | − | 0.178621i | ||||
\(997\) | −0.959891 | + | 3.58236i | −0.0304001 | + | 0.113455i | −0.979459 | − | 0.201645i | \(-0.935371\pi\) |
0.949059 | + | 0.315100i | \(0.102038\pi\) | |||||||
\(998\) | 18.4937 | − | 8.47861i | 0.585407 | − | 0.268386i | ||||
\(999\) | −0.962950 | − | 0.555960i | −0.0304664 | − | 0.0175898i |
(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 | 112.2.w.c.37.7 | ✓ | 48 | |
4.3 | odd | 2 | 448.2.ba.c.177.6 | 48 | |||
7.2 | even | 3 | 784.2.m.j.197.9 | 24 | |||
7.3 | odd | 6 | 784.2.x.o.165.2 | 48 | |||
7.4 | even | 3 | inner | 112.2.w.c.53.2 | yes | 48 | |
7.5 | odd | 6 | 784.2.m.k.197.9 | 24 | |||
7.6 | odd | 2 | 784.2.x.o.373.7 | 48 | |||
8.3 | odd | 2 | 896.2.ba.e.737.7 | 48 | |||
8.5 | even | 2 | 896.2.ba.f.737.6 | 48 | |||
16.3 | odd | 4 | 448.2.ba.c.401.7 | 48 | |||
16.5 | even | 4 | 896.2.ba.f.289.7 | 48 | |||
16.11 | odd | 4 | 896.2.ba.e.289.6 | 48 | |||
16.13 | even | 4 | inner | 112.2.w.c.93.2 | yes | 48 | |
28.11 | odd | 6 | 448.2.ba.c.305.7 | 48 | |||
56.11 | odd | 6 | 896.2.ba.e.865.6 | 48 | |||
56.53 | even | 6 | 896.2.ba.f.865.7 | 48 | |||
112.11 | odd | 12 | 896.2.ba.e.417.7 | 48 | |||
112.13 | odd | 4 | 784.2.x.o.765.2 | 48 | |||
112.45 | odd | 12 | 784.2.x.o.557.7 | 48 | |||
112.53 | even | 12 | 896.2.ba.f.417.6 | 48 | |||
112.61 | odd | 12 | 784.2.m.k.589.9 | 24 | |||
112.67 | odd | 12 | 448.2.ba.c.81.6 | 48 | |||
112.93 | even | 12 | 784.2.m.j.589.9 | 24 | |||
112.109 | even | 12 | inner | 112.2.w.c.109.7 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.w.c.37.7 | ✓ | 48 | 1.1 | even | 1 | trivial | |
112.2.w.c.53.2 | yes | 48 | 7.4 | even | 3 | inner | |
112.2.w.c.93.2 | yes | 48 | 16.13 | even | 4 | inner | |
112.2.w.c.109.7 | yes | 48 | 112.109 | even | 12 | inner | |
448.2.ba.c.81.6 | 48 | 112.67 | odd | 12 | |||
448.2.ba.c.177.6 | 48 | 4.3 | odd | 2 | |||
448.2.ba.c.305.7 | 48 | 28.11 | odd | 6 | |||
448.2.ba.c.401.7 | 48 | 16.3 | odd | 4 | |||
784.2.m.j.197.9 | 24 | 7.2 | even | 3 | |||
784.2.m.j.589.9 | 24 | 112.93 | even | 12 | |||
784.2.m.k.197.9 | 24 | 7.5 | odd | 6 | |||
784.2.m.k.589.9 | 24 | 112.61 | odd | 12 | |||
784.2.x.o.165.2 | 48 | 7.3 | odd | 6 | |||
784.2.x.o.373.7 | 48 | 7.6 | odd | 2 | |||
784.2.x.o.557.7 | 48 | 112.45 | odd | 12 | |||
784.2.x.o.765.2 | 48 | 112.13 | odd | 4 | |||
896.2.ba.e.289.6 | 48 | 16.11 | odd | 4 | |||
896.2.ba.e.417.7 | 48 | 112.11 | odd | 12 | |||
896.2.ba.e.737.7 | 48 | 8.3 | odd | 2 | |||
896.2.ba.e.865.6 | 48 | 56.11 | odd | 6 | |||
896.2.ba.f.289.7 | 48 | 16.5 | even | 4 | |||
896.2.ba.f.417.6 | 48 | 112.53 | even | 12 | |||
896.2.ba.f.737.6 | 48 | 8.5 | even | 2 | |||
896.2.ba.f.865.7 | 48 | 56.53 | even | 6 |