Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(317,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.317");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bv (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 317.11 | ||
Character | \(\chi\) | \(=\) | 546.317 |
Dual form | 546.2.bv.a.515.11 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0.398691 | + | 1.68554i | 0.230184 | + | 0.973147i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −1.89818 | + | 0.508616i | −0.848893 | + | 0.227460i | −0.656939 | − | 0.753944i | \(-0.728149\pi\) |
−0.191954 | + | 0.981404i | \(0.561482\pi\) | |||||||
\(6\) | −0.821356 | − | 1.52492i | −0.335317 | − | 0.622545i | ||||
\(7\) | 1.71379 | + | 2.01567i | 0.647751 | + | 0.761852i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −2.68209 | + | 1.34402i | −0.894030 | + | 0.448007i | ||||
\(10\) | 1.70186 | − | 0.982571i | 0.538177 | − | 0.310716i | ||||
\(11\) | 2.87835 | + | 0.771252i | 0.867856 | + | 0.232541i | 0.665160 | − | 0.746701i | \(-0.268363\pi\) |
0.202695 | + | 0.979242i | \(0.435030\pi\) | |||||||
\(12\) | 1.18805 | + | 1.26037i | 0.342960 | + | 0.363839i | ||||
\(13\) | −3.35607 | + | 1.31786i | −0.930808 | + | 0.365509i | ||||
\(14\) | −2.17709 | − | 1.50343i | −0.581851 | − | 0.401808i | ||||
\(15\) | −1.61408 | − | 2.99668i | −0.416754 | − | 0.773740i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.01939 | + | 1.76563i | 0.247238 | + | 0.428229i | 0.962758 | − | 0.270363i | \(-0.0871437\pi\) |
−0.715520 | + | 0.698592i | \(0.753810\pi\) | |||||||
\(18\) | 2.24284 | − | 1.99240i | 0.528643 | − | 0.469613i | ||||
\(19\) | −1.12940 | − | 4.21497i | −0.259102 | − | 0.966980i | −0.965762 | − | 0.259428i | \(-0.916466\pi\) |
0.706661 | − | 0.707552i | \(-0.250201\pi\) | |||||||
\(20\) | −1.38957 | + | 1.38957i | −0.310716 | + | 0.310716i | ||||
\(21\) | −2.71422 | + | 3.69229i | −0.592292 | + | 0.805723i | ||||
\(22\) | −2.97989 | −0.635314 | ||||||||
\(23\) | −1.60906 | + | 2.78697i | −0.335512 | + | 0.581124i | −0.983583 | − | 0.180456i | \(-0.942243\pi\) |
0.648071 | + | 0.761580i | \(0.275576\pi\) | |||||||
\(24\) | −1.47377 | − | 0.909940i | −0.300833 | − | 0.185741i | ||||
\(25\) | −0.985722 | + | 0.569107i | −0.197144 | + | 0.113821i | ||||
\(26\) | 2.90063 | − | 2.14157i | 0.568861 | − | 0.419997i | ||||
\(27\) | −3.33472 | − | 3.98492i | −0.641768 | − | 0.766899i | ||||
\(28\) | 2.49202 | + | 0.888729i | 0.470947 | + | 0.167954i | ||||
\(29\) | 6.15008i | 1.14204i | 0.820935 | + | 0.571021i | \(0.193452\pi\) | ||||
−0.820935 | + | 0.571021i | \(0.806548\pi\) | |||||||
\(30\) | 2.33468 | + | 2.47682i | 0.426253 | + | 0.452203i | ||||
\(31\) | −2.95519 | − | 0.791840i | −0.530767 | − | 0.142219i | −0.0165248 | − | 0.999863i | \(-0.505260\pi\) |
−0.514243 | + | 0.857645i | \(0.671927\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | −0.152403 | + | 5.15907i | −0.0265300 | + | 0.898078i | ||||
\(34\) | −1.44163 | − | 1.44163i | −0.247238 | − | 0.247238i | ||||
\(35\) | −4.27828 | − | 2.95445i | −0.723162 | − | 0.499393i | ||||
\(36\) | −1.65075 | + | 2.50500i | −0.275125 | + | 0.417500i | ||||
\(37\) | 3.92765 | − | 1.05241i | 0.645702 | − | 0.173015i | 0.0789171 | − | 0.996881i | \(-0.474854\pi\) |
0.566785 | + | 0.823866i | \(0.308187\pi\) | |||||||
\(38\) | 2.18183 | + | 3.77904i | 0.353939 | + | 0.613041i | ||||
\(39\) | −3.55935 | − | 5.13138i | −0.569952 | − | 0.821678i | ||||
\(40\) | 0.982571 | − | 1.70186i | 0.155358 | − | 0.269088i | ||||
\(41\) | −7.22551 | − | 7.22551i | −1.12844 | − | 1.12844i | −0.990432 | − | 0.138004i | \(-0.955931\pi\) |
−0.138004 | − | 0.990432i | \(-0.544069\pi\) | |||||||
\(42\) | 1.66610 | − | 4.26897i | 0.257085 | − | 0.658716i | ||||
\(43\) | − | 1.92779i | − | 0.293985i | −0.989138 | − | 0.146993i | \(-0.953041\pi\) | ||
0.989138 | − | 0.146993i | \(-0.0469594\pi\) | |||||||
\(44\) | 2.87835 | − | 0.771252i | 0.433928 | − | 0.116271i | ||||
\(45\) | 4.40751 | − | 3.91535i | 0.657032 | − | 0.583666i | ||||
\(46\) | 0.832911 | − | 3.10846i | 0.122806 | − | 0.458318i | ||||
\(47\) | 0.203159 | + | 0.758199i | 0.0296338 | + | 0.110595i | 0.979159 | − | 0.203097i | \(-0.0651008\pi\) |
−0.949525 | + | 0.313692i | \(0.898434\pi\) | |||||||
\(48\) | 1.65907 | + | 0.497493i | 0.239466 | + | 0.0718070i | ||||
\(49\) | −1.12586 | + | 6.90887i | −0.160838 | + | 0.986981i | ||||
\(50\) | 0.804839 | − | 0.804839i | 0.113821 | − | 0.113821i | ||||
\(51\) | −2.56962 | + | 2.42216i | −0.359819 | + | 0.339170i | ||||
\(52\) | −2.24751 | + | 2.81934i | −0.311674 | + | 0.390972i | ||||
\(53\) | −3.77663 | + | 2.18044i | −0.518759 | + | 0.299506i | −0.736427 | − | 0.676517i | \(-0.763488\pi\) |
0.217667 | + | 0.976023i | \(0.430155\pi\) | |||||||
\(54\) | 4.25247 | + | 2.98605i | 0.578688 | + | 0.406350i | ||||
\(55\) | −5.85591 | −0.789610 | ||||||||
\(56\) | −2.63713 | − | 0.213464i | −0.352401 | − | 0.0285253i | ||||
\(57\) | 6.65422 | − | 3.58412i | 0.881373 | − | 0.474728i | ||||
\(58\) | −1.59176 | − | 5.94052i | −0.209008 | − | 0.780029i | ||||
\(59\) | −2.58491 | − | 0.692626i | −0.336527 | − | 0.0901722i | 0.0865982 | − | 0.996243i | \(-0.472400\pi\) |
−0.423125 | + | 0.906071i | \(0.639067\pi\) | |||||||
\(60\) | −2.89618 | − | 1.78816i | −0.373895 | − | 0.230851i | ||||
\(61\) | 2.72566 | − | 4.72098i | 0.348985 | − | 0.604459i | −0.637085 | − | 0.770794i | \(-0.719860\pi\) |
0.986069 | + | 0.166335i | \(0.0531932\pi\) | |||||||
\(62\) | 3.05944 | 0.388549 | ||||||||
\(63\) | −7.30564 | − | 3.10285i | −0.920424 | − | 0.390922i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 5.70016 | − | 4.20850i | 0.707017 | − | 0.522000i | ||||
\(66\) | −1.18806 | − | 5.02272i | −0.146239 | − | 0.618254i | ||||
\(67\) | −0.655866 | − | 0.175739i | −0.0801268 | − | 0.0214699i | 0.218533 | − | 0.975830i | \(-0.429873\pi\) |
−0.298660 | + | 0.954360i | \(0.596540\pi\) | |||||||
\(68\) | 1.76563 | + | 1.01939i | 0.214114 | + | 0.123619i | ||||
\(69\) | −5.33907 | − | 1.60099i | −0.642749 | − | 0.192737i | ||||
\(70\) | 4.89717 | + | 1.74648i | 0.585324 | + | 0.208744i | ||||
\(71\) | 7.64671 | + | 7.64671i | 0.907497 | + | 0.907497i | 0.996070 | − | 0.0885725i | \(-0.0282305\pi\) |
−0.0885725 | + | 0.996070i | \(0.528231\pi\) | |||||||
\(72\) | 0.946159 | − | 2.84689i | 0.111506 | − | 0.335509i | ||||
\(73\) | −3.05864 | + | 11.4150i | −0.357986 | + | 1.33602i | 0.518698 | + | 0.854957i | \(0.326417\pi\) |
−0.876685 | + | 0.481066i | \(0.840250\pi\) | |||||||
\(74\) | −3.52144 | + | 2.03310i | −0.409359 | + | 0.236343i | ||||
\(75\) | −1.35225 | − | 1.43458i | −0.156144 | − | 0.165651i | ||||
\(76\) | −3.08557 | − | 3.08557i | −0.353939 | − | 0.353939i | ||||
\(77\) | 3.37829 | + | 7.12357i | 0.384992 | + | 0.811806i | ||||
\(78\) | 4.76616 | + | 4.03530i | 0.539662 | + | 0.456908i | ||||
\(79\) | −4.89586 | + | 8.47987i | −0.550827 | + | 0.954060i | 0.447388 | + | 0.894340i | \(0.352354\pi\) |
−0.998215 | + | 0.0597205i | \(0.980979\pi\) | |||||||
\(80\) | −0.508616 | + | 1.89818i | −0.0568650 | + | 0.212223i | ||||
\(81\) | 5.38722 | − | 7.20957i | 0.598580 | − | 0.801063i | ||||
\(82\) | 8.84941 | + | 5.10921i | 0.977254 | + | 0.564218i | ||||
\(83\) | 4.83395 | + | 4.83395i | 0.530595 | + | 0.530595i | 0.920749 | − | 0.390154i | \(-0.127578\pi\) |
−0.390154 | + | 0.920749i | \(0.627578\pi\) | |||||||
\(84\) | −0.504442 | + | 4.55473i | −0.0550392 | + | 0.496961i | ||||
\(85\) | −2.83301 | − | 2.83301i | −0.307284 | − | 0.307284i | ||||
\(86\) | 0.498949 | + | 1.86210i | 0.0538030 | + | 0.200796i | ||||
\(87\) | −10.3662 | + | 2.45198i | −1.11137 | + | 0.262880i | ||||
\(88\) | −2.58066 | + | 1.48994i | −0.275099 | + | 0.158829i | ||||
\(89\) | −3.24426 | − | 12.1077i | −0.343890 | − | 1.28342i | −0.893903 | − | 0.448260i | \(-0.852044\pi\) |
0.550013 | − | 0.835156i | \(-0.314623\pi\) | |||||||
\(90\) | −3.24396 | + | 4.92268i | −0.341943 | + | 0.518896i | ||||
\(91\) | −8.40798 | − | 4.50621i | −0.881396 | − | 0.472379i | ||||
\(92\) | 3.21812i | 0.335512i | ||||||||
\(93\) | 0.156471 | − | 5.29679i | 0.0162253 | − | 0.549251i | ||||
\(94\) | −0.392473 | − | 0.679782i | −0.0404805 | − | 0.0701142i | ||||
\(95\) | 4.28760 | + | 7.42635i | 0.439899 | + | 0.761927i | ||||
\(96\) | −1.73130 | − | 0.0511439i | −0.176700 | − | 0.00521985i | ||||
\(97\) | 7.26398 | − | 7.26398i | 0.737546 | − | 0.737546i | −0.234557 | − | 0.972102i | \(-0.575364\pi\) |
0.972102 | + | 0.234557i | \(0.0753639\pi\) | |||||||
\(98\) | −0.700646 | − | 6.96485i | −0.0707759 | − | 0.703556i | ||||
\(99\) | −8.75658 | + | 1.79999i | −0.880069 | + | 0.180906i | ||||
\(100\) | −0.569107 | + | 0.985722i | −0.0569107 | + | 0.0985722i | ||||
\(101\) | 2.37895 | + | 4.12046i | 0.236714 | + | 0.410001i | 0.959769 | − | 0.280789i | \(-0.0905962\pi\) |
−0.723055 | + | 0.690790i | \(0.757263\pi\) | |||||||
\(102\) | 1.85516 | − | 3.00470i | 0.183689 | − | 0.297509i | ||||
\(103\) | 9.00320 | + | 5.19800i | 0.887112 | + | 0.512174i | 0.872997 | − | 0.487726i | \(-0.162173\pi\) |
0.0141153 | + | 0.999900i | \(0.495507\pi\) | |||||||
\(104\) | 1.44123 | − | 3.30497i | 0.141325 | − | 0.324079i | ||||
\(105\) | 3.27413 | − | 8.38913i | 0.319523 | − | 0.818696i | ||||
\(106\) | 3.08360 | − | 3.08360i | 0.299506 | − | 0.299506i | ||||
\(107\) | 12.8840 | + | 7.43856i | 1.24554 | + | 0.719113i | 0.970217 | − | 0.242238i | \(-0.0778816\pi\) |
0.275324 | + | 0.961352i | \(0.411215\pi\) | |||||||
\(108\) | −4.88042 | − | 1.78368i | −0.469618 | − | 0.171635i | ||||
\(109\) | 10.5021 | + | 2.81402i | 1.00592 | + | 0.269535i | 0.723922 | − | 0.689881i | \(-0.242337\pi\) |
0.281995 | + | 0.959416i | \(0.409004\pi\) | |||||||
\(110\) | 5.65637 | − | 1.51562i | 0.539314 | − | 0.144509i | ||||
\(111\) | 3.33980 | + | 6.20063i | 0.317000 | + | 0.588538i | ||||
\(112\) | 2.60252 | − | 0.476348i | 0.245915 | − | 0.0450106i | ||||
\(113\) | 16.1384i | 1.51817i | 0.650991 | + | 0.759085i | \(0.274353\pi\) | ||||
−0.650991 | + | 0.759085i | \(0.725647\pi\) | |||||||
\(114\) | −5.49984 | + | 5.18423i | −0.515108 | + | 0.485547i | ||||
\(115\) | 1.63679 | − | 6.10858i | 0.152631 | − | 0.569628i | ||||
\(116\) | 3.07504 | + | 5.32613i | 0.285510 | + | 0.494519i | ||||
\(117\) | 7.23006 | − | 8.04526i | 0.668420 | − | 0.743784i | ||||
\(118\) | 2.67610 | 0.246355 | ||||||||
\(119\) | −1.81192 | + | 5.08067i | −0.166098 | + | 0.465744i | ||||
\(120\) | 3.26030 | + | 0.977646i | 0.297623 | + | 0.0892464i | ||||
\(121\) | −1.83620 | − | 1.06013i | −0.166928 | − | 0.0963756i | ||||
\(122\) | −1.41090 | + | 5.26556i | −0.127737 | + | 0.476722i | ||||
\(123\) | 9.29815 | − | 15.0596i | 0.838386 | − | 1.35788i | ||||
\(124\) | −2.95519 | + | 0.791840i | −0.265384 | + | 0.0711094i | ||||
\(125\) | 8.52945 | − | 8.52945i | 0.762897 | − | 0.762897i | ||||
\(126\) | 7.85978 | + | 1.10628i | 0.700205 | + | 0.0985557i | ||||
\(127\) | 7.54690i | 0.669679i | 0.942275 | + | 0.334840i | \(0.108682\pi\) | ||||
−0.942275 | + | 0.334840i | \(0.891318\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 3.24937 | − | 0.768593i | 0.286091 | − | 0.0676708i | ||||
\(130\) | −4.41669 | + | 5.54041i | −0.387369 | + | 0.485926i | ||||
\(131\) | 0.524403 | + | 0.302764i | 0.0458173 | + | 0.0264526i | 0.522734 | − | 0.852496i | \(-0.324912\pi\) |
−0.476916 | + | 0.878949i | \(0.658246\pi\) | |||||||
\(132\) | 2.44755 | + | 4.54409i | 0.213032 | + | 0.395512i | ||||
\(133\) | 6.56045 | − | 9.50006i | 0.568863 | − | 0.823759i | ||||
\(134\) | 0.679003 | 0.0586569 | ||||||||
\(135\) | 8.35671 | + | 5.86801i | 0.719231 | + | 0.505038i | ||||
\(136\) | −1.96931 | − | 0.527674i | −0.168867 | − | 0.0452477i | ||||
\(137\) | 4.50842 | + | 1.20803i | 0.385181 | + | 0.103209i | 0.446213 | − | 0.894927i | \(-0.352772\pi\) |
−0.0610320 | + | 0.998136i | \(0.519439\pi\) | |||||||
\(138\) | 5.57152 | + | 0.164587i | 0.474279 | + | 0.0140106i | ||||
\(139\) | 1.20568 | 0.102265 | 0.0511323 | − | 0.998692i | \(-0.483717\pi\) | ||||
0.0511323 | + | 0.998692i | \(0.483717\pi\) | |||||||
\(140\) | −5.18233 | − | 0.419487i | −0.437987 | − | 0.0354532i | ||||
\(141\) | −1.19698 | + | 0.644719i | −0.100804 | + | 0.0542952i | ||||
\(142\) | −9.36527 | − | 5.40704i | −0.785916 | − | 0.453749i | ||||
\(143\) | −10.6764 | + | 1.20489i | −0.892803 | + | 0.100758i | ||||
\(144\) | −0.177090 | + | 2.99477i | −0.0147575 | + | 0.249564i | ||||
\(145\) | −3.12803 | − | 11.6740i | −0.259769 | − | 0.969471i | ||||
\(146\) | − | 11.8177i | − | 0.978037i | ||||||
\(147\) | −12.0940 | + | 0.856815i | −0.997500 | + | 0.0706689i | ||||
\(148\) | 2.87524 | − | 2.87524i | 0.236343 | − | 0.236343i | ||||
\(149\) | 19.1684 | − | 5.13616i | 1.57034 | − | 0.420771i | 0.634420 | − | 0.772988i | \(-0.281239\pi\) |
0.935918 | + | 0.352218i | \(0.114572\pi\) | |||||||
\(150\) | 1.67747 | + | 1.03571i | 0.136965 | + | 0.0845650i | ||||
\(151\) | −1.85076 | + | 6.90714i | −0.150613 | + | 0.562095i | 0.848828 | + | 0.528669i | \(0.177309\pi\) |
−0.999441 | + | 0.0334265i | \(0.989358\pi\) | |||||||
\(152\) | 3.77904 | + | 2.18183i | 0.306520 | + | 0.176970i | ||||
\(153\) | −5.10714 | − | 3.36551i | −0.412888 | − | 0.272085i | ||||
\(154\) | −5.10690 | − | 6.00648i | −0.411525 | − | 0.484016i | ||||
\(155\) | 6.01223 | 0.482914 | ||||||||
\(156\) | −5.64817 | − | 2.66423i | −0.452216 | − | 0.213309i | ||||
\(157\) | 9.36594 | + | 16.2223i | 0.747484 | + | 1.29468i | 0.949025 | + | 0.315200i | \(0.102072\pi\) |
−0.201542 | + | 0.979480i | \(0.564595\pi\) | |||||||
\(158\) | 2.53428 | − | 9.45807i | 0.201617 | − | 0.752444i | ||||
\(159\) | −5.18092 | − | 5.49633i | −0.410874 | − | 0.435888i | ||||
\(160\) | − | 1.96514i | − | 0.155358i | ||||||
\(161\) | −8.37521 | + | 1.53294i | −0.660059 | + | 0.120813i | ||||
\(162\) | −3.33768 | + | 8.35822i | −0.262233 | + | 0.656684i | ||||
\(163\) | 4.61017 | − | 1.23529i | 0.361096 | − | 0.0967554i | −0.0737095 | − | 0.997280i | \(-0.523484\pi\) |
0.434806 | + | 0.900524i | \(0.356817\pi\) | |||||||
\(164\) | −9.87024 | − | 2.64472i | −0.770736 | − | 0.206518i | ||||
\(165\) | −2.33470 | − | 9.87037i | −0.181756 | − | 0.768407i | ||||
\(166\) | −5.92036 | − | 3.41812i | −0.459509 | − | 0.265298i | ||||
\(167\) | 15.2569 | − | 15.2569i | 1.18061 | − | 1.18061i | 0.201026 | − | 0.979586i | \(-0.435572\pi\) |
0.979586 | − | 0.201026i | \(-0.0644277\pi\) | |||||||
\(168\) | −0.691596 | − | 4.53009i | −0.0533578 | − | 0.349504i | ||||
\(169\) | 9.52648 | − | 8.84569i | 0.732806 | − | 0.680438i | ||||
\(170\) | 3.46972 | + | 2.00324i | 0.266115 | + | 0.153642i | ||||
\(171\) | 8.69415 | + | 9.78700i | 0.664858 | + | 0.748430i | ||||
\(172\) | −0.963895 | − | 1.66952i | −0.0734963 | − | 0.127299i | ||||
\(173\) | 3.41329 | − | 5.91199i | 0.259508 | − | 0.449481i | −0.706602 | − | 0.707611i | \(-0.749773\pi\) |
0.966110 | + | 0.258130i | \(0.0831064\pi\) | |||||||
\(174\) | 9.37837 | − | 5.05141i | 0.710973 | − | 0.382946i | ||||
\(175\) | −2.83645 | − | 1.01156i | −0.214415 | − | 0.0764670i | ||||
\(176\) | 2.10710 | − | 2.10710i | 0.158829 | − | 0.158829i | ||||
\(177\) | 0.136866 | − | 4.63312i | 0.0102875 | − | 0.348247i | ||||
\(178\) | 6.26742 | + | 10.8555i | 0.469763 | + | 0.813654i | ||||
\(179\) | −5.31136 | − | 9.19954i | −0.396990 | − | 0.687606i | 0.596363 | − | 0.802715i | \(-0.296612\pi\) |
−0.993353 | + | 0.115108i | \(0.963278\pi\) | |||||||
\(180\) | 1.85934 | − | 5.59455i | 0.138587 | − | 0.416993i | ||||
\(181\) | 19.6947i | 1.46390i | 0.681359 | + | 0.731950i | \(0.261389\pi\) | ||||
−0.681359 | + | 0.731950i | \(0.738611\pi\) | |||||||
\(182\) | 9.28778 | + | 2.17652i | 0.688456 | + | 0.161334i | ||||
\(183\) | 9.04409 | + | 2.71199i | 0.668558 | + | 0.200476i | ||||
\(184\) | −0.832911 | − | 3.10846i | −0.0614030 | − | 0.229159i | ||||
\(185\) | −6.92013 | + | 3.99534i | −0.508778 | + | 0.293743i | ||||
\(186\) | 1.21977 | + | 5.15680i | 0.0894379 | + | 0.378115i | ||||
\(187\) | 1.57241 | + | 5.86832i | 0.114986 | + | 0.429134i | ||||
\(188\) | 0.555040 | + | 0.555040i | 0.0404805 | + | 0.0404805i | ||||
\(189\) | 2.31729 | − | 13.5510i | 0.168558 | − | 0.985692i | ||||
\(190\) | −6.06359 | − | 6.06359i | −0.439899 | − | 0.439899i | ||||
\(191\) | 20.9344 | + | 12.0865i | 1.51476 | + | 0.874546i | 0.999850 | + | 0.0173008i | \(0.00550729\pi\) |
0.514908 | + | 0.857245i | \(0.327826\pi\) | |||||||
\(192\) | 1.68554 | − | 0.398691i | 0.121643 | − | 0.0287731i | ||||
\(193\) | 1.85200 | − | 6.91174i | 0.133310 | − | 0.497518i | −0.866690 | − | 0.498848i | \(-0.833757\pi\) |
0.999999 | + | 0.00132974i | \(0.000423269\pi\) | |||||||
\(194\) | −5.13641 | + | 8.89652i | −0.368773 | + | 0.638733i | ||||
\(195\) | 9.36619 | + | 7.92995i | 0.670727 | + | 0.567875i | ||||
\(196\) | 2.47941 | + | 6.54619i | 0.177100 | + | 0.467585i | ||||
\(197\) | −14.7417 | − | 14.7417i | −1.05030 | − | 1.05030i | −0.998666 | − | 0.0516350i | \(-0.983557\pi\) |
−0.0516350 | − | 0.998666i | \(-0.516443\pi\) | |||||||
\(198\) | 7.99233 | − | 4.00503i | 0.567990 | − | 0.284625i | ||||
\(199\) | 3.88217 | − | 2.24137i | 0.275200 | − | 0.158887i | −0.356049 | − | 0.934467i | \(-0.615876\pi\) |
0.631248 | + | 0.775581i | \(0.282543\pi\) | |||||||
\(200\) | 0.294591 | − | 1.09943i | 0.0208308 | − | 0.0777414i | ||||
\(201\) | 0.0347268 | − | 1.17555i | 0.00244944 | − | 0.0829172i | ||||
\(202\) | −3.36434 | − | 3.36434i | −0.236714 | − | 0.236714i | ||||
\(203\) | −12.3965 | + | 10.5399i | −0.870067 | + | 0.739759i | ||||
\(204\) | −1.01428 | + | 3.38247i | −0.0710137 | + | 0.236820i | ||||
\(205\) | 17.3904 | + | 10.0403i | 1.21460 | + | 0.701247i | ||||
\(206\) | −10.0418 | − | 2.69068i | −0.699643 | − | 0.187469i | ||||
\(207\) | 0.569898 | − | 9.63752i | 0.0396106 | − | 0.669854i | ||||
\(208\) | −0.536735 | + | 3.56538i | −0.0372159 | + | 0.247214i | ||||
\(209\) | − | 13.0032i | − | 0.899451i | ||||||
\(210\) | −0.991301 | + | 8.95069i | −0.0684063 | + | 0.617656i | ||||
\(211\) | −21.2853 | −1.46534 | −0.732670 | − | 0.680584i | \(-0.761726\pi\) | ||||
−0.732670 | + | 0.680584i | \(0.761726\pi\) | |||||||
\(212\) | −2.18044 | + | 3.77663i | −0.149753 | + | 0.259380i | ||||
\(213\) | −9.84016 | + | 15.9375i | −0.674237 | + | 1.09202i | ||||
\(214\) | −14.3702 | − | 3.85048i | −0.982327 | − | 0.263214i | ||||
\(215\) | 0.980506 | + | 3.65930i | 0.0668699 | + | 0.249562i | ||||
\(216\) | 5.17577 | + | 0.459760i | 0.352167 | + | 0.0312827i | ||||
\(217\) | −3.46848 | − | 7.31373i | −0.235455 | − | 0.496489i | ||||
\(218\) | −10.8726 | −0.736382 | ||||||||
\(219\) | −20.4599 | − | 0.604401i | −1.38255 | − | 0.0408416i | ||||
\(220\) | −5.07136 | + | 2.92795i | −0.341911 | + | 0.197403i | ||||
\(221\) | −5.74800 | − | 4.58218i | −0.386653 | − | 0.308231i | ||||
\(222\) | −4.83084 | − | 5.12494i | −0.324225 | − | 0.343964i | ||||
\(223\) | −16.4129 | + | 16.4129i | −1.09909 | + | 1.09909i | −0.104574 | + | 0.994517i | \(0.533348\pi\) |
−0.994517 | + | 0.104574i | \(0.966652\pi\) | |||||||
\(224\) | −2.39055 | + | 1.13370i | −0.159725 | + | 0.0757484i | ||||
\(225\) | 1.87890 | − | 2.85123i | 0.125260 | − | 0.190082i | ||||
\(226\) | −4.17692 | − | 15.5885i | −0.277844 | − | 1.03693i | ||||
\(227\) | −1.11711 | + | 4.16910i | −0.0741449 | + | 0.276713i | −0.993038 | − | 0.117794i | \(-0.962418\pi\) |
0.918893 | + | 0.394507i | \(0.129084\pi\) | |||||||
\(228\) | 3.97066 | − | 6.43104i | 0.262964 | − | 0.425906i | ||||
\(229\) | 18.4670 | − | 4.94822i | 1.22033 | − | 0.326988i | 0.409526 | − | 0.912298i | \(-0.365694\pi\) |
0.810809 | + | 0.585311i | \(0.199027\pi\) | |||||||
\(230\) | 6.32406i | 0.416996i | ||||||||
\(231\) | −10.6602 | + | 8.53435i | −0.701388 | + | 0.561519i | ||||
\(232\) | −4.34877 | − | 4.34877i | −0.285510 | − | 0.285510i | ||||
\(233\) | −7.85397 | + | 13.6035i | −0.514530 | + | 0.891193i | 0.485327 | + | 0.874332i | \(0.338700\pi\) |
−0.999858 | + | 0.0168603i | \(0.994633\pi\) | |||||||
\(234\) | −4.90144 | + | 9.64240i | −0.320417 | + | 0.630343i | ||||
\(235\) | −0.771265 | − | 1.33587i | −0.0503118 | − | 0.0871425i | ||||
\(236\) | −2.58491 | + | 0.692626i | −0.168264 | + | 0.0450861i | ||||
\(237\) | −16.2451 | − | 4.87131i | −1.05523 | − | 0.316426i | ||||
\(238\) | 0.435206 | − | 5.37651i | 0.0282102 | − | 0.348507i | ||||
\(239\) | −18.2934 | − | 18.2934i | −1.18330 | − | 1.18330i | −0.978884 | − | 0.204417i | \(-0.934470\pi\) |
−0.204417 | − | 0.978884i | \(-0.565530\pi\) | |||||||
\(240\) | −3.40224 | − | 0.100505i | −0.219614 | − | 0.00648757i | ||||
\(241\) | −7.52585 | + | 28.0869i | −0.484783 | + | 1.80923i | 0.0962542 | + | 0.995357i | \(0.469314\pi\) |
−0.581037 | + | 0.813877i | \(0.697353\pi\) | |||||||
\(242\) | 2.04802 | + | 0.548765i | 0.131652 | + | 0.0352759i | ||||
\(243\) | 14.2998 | + | 6.20599i | 0.917336 | + | 0.398114i | ||||
\(244\) | − | 5.45131i | − | 0.348985i | ||||||
\(245\) | −1.37687 | − | 13.6869i | −0.0879649 | − | 0.874425i | ||||
\(246\) | −5.08360 | + | 16.9530i | −0.324118 | + | 1.08089i | ||||
\(247\) | 9.34509 | + | 12.6574i | 0.594614 | + | 0.805369i | ||||
\(248\) | 2.64955 | − | 1.52972i | 0.168247 | − | 0.0971372i | ||||
\(249\) | −6.22057 | + | 10.0751i | −0.394212 | + | 0.638482i | ||||
\(250\) | −6.03123 | + | 10.4464i | −0.381449 | + | 0.660689i | ||||
\(251\) | −29.6402 | −1.87087 | −0.935436 | − | 0.353497i | \(-0.884993\pi\) | ||||
−0.935436 | + | 0.353497i | \(0.884993\pi\) | |||||||
\(252\) | −7.87829 | + | 0.965671i | −0.496286 | + | 0.0608316i | ||||
\(253\) | −6.78090 | + | 6.78090i | −0.426311 | + | 0.426311i | ||||
\(254\) | −1.95328 | − | 7.28975i | −0.122560 | − | 0.457399i | ||||
\(255\) | 3.64566 | − | 5.90466i | 0.228300 | − | 0.369764i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −14.7359 | + | 25.5233i | −0.919199 | + | 1.59210i | −0.118564 | + | 0.992946i | \(0.537829\pi\) |
−0.800635 | + | 0.599153i | \(0.795504\pi\) | |||||||
\(258\) | −2.93972 | + | 1.58340i | −0.183019 | + | 0.0985783i | ||||
\(259\) | 8.85248 | + | 6.11325i | 0.550066 | + | 0.379859i | ||||
\(260\) | 2.83223 | − | 6.49474i | 0.175647 | − | 0.402787i | ||||
\(261\) | −8.26583 | − | 16.4951i | −0.511642 | − | 1.02102i | ||||
\(262\) | −0.584896 | − | 0.156722i | −0.0361350 | − | 0.00968234i | ||||
\(263\) | −14.8496 | + | 8.57339i | −0.915663 | + | 0.528658i | −0.882249 | − | 0.470784i | \(-0.843971\pi\) |
−0.0334138 | + | 0.999442i | \(0.510638\pi\) | |||||||
\(264\) | −3.54025 | − | 3.75578i | −0.217887 | − | 0.231152i | ||||
\(265\) | 6.05972 | − | 6.05972i | 0.372246 | − | 0.372246i | ||||
\(266\) | −3.87811 | + | 10.8743i | −0.237782 | + | 0.666747i | ||||
\(267\) | 19.1146 | − | 10.2956i | 1.16979 | − | 0.630078i | ||||
\(268\) | −0.655866 | + | 0.175739i | −0.0400634 | + | 0.0107350i | ||||
\(269\) | −10.0976 | + | 5.82987i | −0.615663 | + | 0.355453i | −0.775179 | − | 0.631742i | \(-0.782340\pi\) |
0.159515 | + | 0.987195i | \(0.449007\pi\) | |||||||
\(270\) | −9.59072 | − | 3.50519i | −0.583673 | − | 0.213319i | ||||
\(271\) | −24.4953 | + | 6.56350i | −1.48798 | + | 0.398704i | −0.909056 | − | 0.416674i | \(-0.863196\pi\) |
−0.578928 | + | 0.815378i | \(0.696529\pi\) | |||||||
\(272\) | 2.03878 | 0.123619 | ||||||||
\(273\) | 4.24321 | − | 15.9686i | 0.256811 | − | 0.966462i | ||||
\(274\) | −4.66746 | −0.281972 | ||||||||
\(275\) | −3.27618 | + | 0.877849i | −0.197561 | + | 0.0529363i | ||||
\(276\) | −5.42427 | + | 1.28304i | −0.326503 | + | 0.0772297i | ||||
\(277\) | 24.7727 | − | 14.3025i | 1.48845 | − | 0.859356i | 0.488535 | − | 0.872544i | \(-0.337532\pi\) |
0.999913 | + | 0.0131886i | \(0.00419819\pi\) | |||||||
\(278\) | −1.16460 | + | 0.312054i | −0.0698481 | + | 0.0187157i | ||||
\(279\) | 8.99033 | − | 1.84804i | 0.538237 | − | 0.110639i | ||||
\(280\) | 5.11432 | − | 0.936092i | 0.305639 | − | 0.0559422i | ||||
\(281\) | −0.448744 | + | 0.448744i | −0.0267698 | + | 0.0267698i | −0.720365 | − | 0.693595i | \(-0.756026\pi\) |
0.693595 | + | 0.720365i | \(0.256026\pi\) | |||||||
\(282\) | 0.989325 | − | 0.932551i | 0.0589135 | − | 0.0555326i | ||||
\(283\) | 24.9591 | − | 14.4101i | 1.48366 | − | 0.856594i | 0.483836 | − | 0.875158i | \(-0.339243\pi\) |
0.999828 | + | 0.0185645i | \(0.00590961\pi\) | |||||||
\(284\) | 10.4456 | + | 2.79889i | 0.619832 | + | 0.166084i | ||||
\(285\) | −10.8080 | + | 10.1877i | −0.640209 | + | 0.603470i | ||||
\(286\) | 10.0007 | − | 3.92708i | 0.591356 | − | 0.232213i | ||||
\(287\) | 2.18127 | − | 26.9473i | 0.128756 | − | 1.59065i | ||||
\(288\) | −0.604047 | − | 2.93856i | −0.0355938 | − | 0.173156i | ||||
\(289\) | 6.42170 | − | 11.1227i | 0.377747 | − | 0.654277i | ||||
\(290\) | 6.04290 | + | 10.4666i | 0.354851 | + | 0.614620i | ||||
\(291\) | 15.1398 | + | 9.34765i | 0.887512 | + | 0.547969i | ||||
\(292\) | 3.05864 | + | 11.4150i | 0.178993 | + | 0.668012i | ||||
\(293\) | −2.61973 | + | 2.61973i | −0.153046 | + | 0.153046i | −0.779477 | − | 0.626431i | \(-0.784515\pi\) |
0.626431 | + | 0.779477i | \(0.284515\pi\) | |||||||
\(294\) | 11.4602 | − | 3.95779i | 0.668372 | − | 0.230823i | ||||
\(295\) | 5.25892 | 0.306186 | ||||||||
\(296\) | −2.03310 | + | 3.52144i | −0.118172 | + | 0.204679i | ||||
\(297\) | −6.52513 | − | 14.0419i | −0.378626 | − | 0.814795i | ||||
\(298\) | −17.1859 | + | 9.92231i | −0.995555 | + | 0.574784i | ||||
\(299\) | 1.72728 | − | 11.4738i | 0.0998911 | − | 0.663548i | ||||
\(300\) | −1.88837 | − | 0.566254i | −0.109025 | − | 0.0326927i | ||||
\(301\) | 3.88579 | − | 3.30382i | 0.223973 | − | 0.190429i | ||||
\(302\) | − | 7.15080i | − | 0.411482i | ||||||
\(303\) | −5.99673 | + | 5.65260i | −0.344503 | + | 0.324733i | ||||
\(304\) | −4.21497 | − | 1.12940i | −0.241745 | − | 0.0647754i | ||||
\(305\) | −2.77263 | + | 10.3476i | −0.158760 | + | 0.592501i | ||||
\(306\) | 5.80417 | + | 1.92901i | 0.331802 | + | 0.110274i | ||||
\(307\) | −10.6314 | − | 10.6314i | −0.606768 | − | 0.606768i | 0.335332 | − | 0.942100i | \(-0.391151\pi\) |
−0.942100 | + | 0.335332i | \(0.891151\pi\) | |||||||
\(308\) | 6.48747 | + | 4.48005i | 0.369658 | + | 0.255274i | ||||
\(309\) | −5.17194 | + | 17.2477i | −0.294222 | + | 0.981185i | ||||
\(310\) | −5.80737 | + | 1.55608i | −0.329836 | + | 0.0883794i | ||||
\(311\) | −7.17794 | − | 12.4326i | −0.407024 | − | 0.704986i | 0.587531 | − | 0.809202i | \(-0.300100\pi\) |
−0.994555 | + | 0.104216i | \(0.966767\pi\) | |||||||
\(312\) | 6.14527 | + | 1.11159i | 0.347907 | + | 0.0629316i | ||||
\(313\) | 6.41060 | − | 11.1035i | 0.362349 | − | 0.627607i | −0.625998 | − | 0.779825i | \(-0.715308\pi\) |
0.988347 | + | 0.152218i | \(0.0486416\pi\) | |||||||
\(314\) | −13.2454 | − | 13.2454i | −0.747484 | − | 0.747484i | ||||
\(315\) | 15.4456 | + | 2.17401i | 0.870260 | + | 0.122491i | ||||
\(316\) | 9.79172i | 0.550827i | ||||||||
\(317\) | 31.6985 | − | 8.49358i | 1.78036 | − | 0.477047i | 0.789714 | − | 0.613475i | \(-0.210229\pi\) |
0.990650 | + | 0.136428i | \(0.0435622\pi\) | |||||||
\(318\) | 6.42694 | + | 3.96813i | 0.360405 | + | 0.222522i | ||||
\(319\) | −4.74326 | + | 17.7021i | −0.265572 | + | 0.991127i | ||||
\(320\) | 0.508616 | + | 1.89818i | 0.0284325 | + | 0.106112i | ||||
\(321\) | −7.40127 | + | 24.6821i | −0.413099 | + | 1.37762i | ||||
\(322\) | 7.69308 | − | 3.64837i | 0.428718 | − | 0.203316i | ||||
\(323\) | 6.29079 | − | 6.29079i | 0.350029 | − | 0.350029i | ||||
\(324\) | 1.06069 | − | 8.93728i | 0.0589271 | − | 0.496515i | ||||
\(325\) | 2.55815 | − | 3.20901i | 0.141901 | − | 0.178004i | ||||
\(326\) | −4.13336 | + | 2.38640i | −0.228926 | + | 0.132170i | ||||
\(327\) | −0.556064 | + | 18.8236i | −0.0307504 | + | 1.04095i | ||||
\(328\) | 10.2184 | 0.564218 | ||||||||
\(329\) | −1.18011 | + | 1.70889i | −0.0650615 | + | 0.0942143i | ||||
\(330\) | 4.80978 | + | 8.92978i | 0.264770 | + | 0.491568i | ||||
\(331\) | 1.70346 | + | 6.35741i | 0.0936308 | + | 0.349435i | 0.996808 | − | 0.0798323i | \(-0.0254385\pi\) |
−0.903177 | + | 0.429267i | \(0.858772\pi\) | |||||||
\(332\) | 6.60330 | + | 1.76935i | 0.362403 | + | 0.0971057i | ||||
\(333\) | −9.11986 | + | 8.10150i | −0.499765 | + | 0.443960i | ||||
\(334\) | −10.7882 | + | 18.6858i | −0.590306 | + | 1.02244i | ||||
\(335\) | 1.33434 | 0.0729026 | ||||||||
\(336\) | 1.84050 | + | 4.19673i | 0.100408 | + | 0.228950i | ||||
\(337\) | − | 10.8486i | − | 0.590959i | −0.955349 | − | 0.295479i | \(-0.904521\pi\) | ||
0.955349 | − | 0.295479i | \(-0.0954793\pi\) | |||||||
\(338\) | −6.91244 | + | 11.0099i | −0.375987 | + | 0.598860i | ||||
\(339\) | −27.2019 | + | 6.43423i | −1.47740 | + | 0.349459i | ||||
\(340\) | −3.86997 | − | 1.03696i | −0.209879 | − | 0.0562368i | ||||
\(341\) | −7.89536 | − | 4.55839i | −0.427558 | − | 0.246851i | ||||
\(342\) | −10.9310 | − | 7.20330i | −0.591079 | − | 0.389510i | ||||
\(343\) | −15.8555 | + | 9.57096i | −0.856116 | + | 0.516783i | ||||
\(344\) | 1.36315 | + | 1.36315i | 0.0734963 | + | 0.0734963i | ||||
\(345\) | 10.9488 | + | 0.323437i | 0.589465 | + | 0.0174133i | ||||
\(346\) | −1.76685 | + | 6.59397i | −0.0949864 | + | 0.354494i | ||||
\(347\) | 22.0582 | − | 12.7353i | 1.18415 | − | 0.683666i | 0.227175 | − | 0.973854i | \(-0.427051\pi\) |
0.956970 | + | 0.290187i | \(0.0937177\pi\) | |||||||
\(348\) | −7.75141 | + | 7.30659i | −0.415519 | + | 0.391674i | ||||
\(349\) | 12.8258 | + | 12.8258i | 0.686551 | + | 0.686551i | 0.961468 | − | 0.274917i | \(-0.0886505\pi\) |
−0.274917 | + | 0.961468i | \(0.588650\pi\) | |||||||
\(350\) | 3.00161 | + | 0.242968i | 0.160443 | + | 0.0129872i | ||||
\(351\) | 16.4432 | + | 8.97899i | 0.877671 | + | 0.479263i | ||||
\(352\) | −1.48994 | + | 2.58066i | −0.0794143 | + | 0.137550i | ||||
\(353\) | 5.27871 | − | 19.7004i | 0.280957 | − | 1.04855i | −0.670786 | − | 0.741651i | \(-0.734043\pi\) |
0.951743 | − | 0.306896i | \(-0.0992902\pi\) | |||||||
\(354\) | 1.06694 | + | 4.51067i | 0.0567071 | + | 0.239740i | ||||
\(355\) | −18.4041 | − | 10.6256i | −0.976787 | − | 0.563948i | ||||
\(356\) | −8.86347 | − | 8.86347i | −0.469763 | − | 0.469763i | ||||
\(357\) | −9.28607 | − | 1.02845i | −0.491471 | − | 0.0544311i | ||||
\(358\) | 7.51140 | + | 7.51140i | 0.396990 | + | 0.396990i | ||||
\(359\) | 5.92711 | + | 22.1203i | 0.312821 | + | 1.16746i | 0.926001 | + | 0.377520i | \(0.123223\pi\) |
−0.613181 | + | 0.789943i | \(0.710110\pi\) | |||||||
\(360\) | −0.348008 | + | 5.88515i | −0.0183416 | + | 0.310175i | ||||
\(361\) | −0.0359416 | + | 0.0207509i | −0.00189167 | + | 0.00109215i | ||||
\(362\) | −5.09738 | − | 19.0237i | −0.267912 | − | 0.999862i | ||||
\(363\) | 1.05482 | − | 3.51766i | 0.0553636 | − | 0.184629i | ||||
\(364\) | −9.53463 | + | 0.301498i | −0.499750 | + | 0.0158028i | ||||
\(365\) | − | 23.2234i | − | 1.21557i | ||||||
\(366\) | −9.43784 | − | 0.278801i | −0.493324 | − | 0.0145732i | ||||
\(367\) | −4.41938 | − | 7.65459i | −0.230690 | − | 0.399566i | 0.727322 | − | 0.686297i | \(-0.240765\pi\) |
−0.958011 | + | 0.286731i | \(0.907432\pi\) | |||||||
\(368\) | 1.60906 | + | 2.78697i | 0.0838780 | + | 0.145281i | ||||
\(369\) | 29.0907 | + | 9.66825i | 1.51440 | + | 0.503309i | ||||
\(370\) | 5.65026 | − | 5.65026i | 0.293743 | − | 0.293743i | ||||
\(371\) | −10.8674 | − | 3.87563i | −0.564206 | − | 0.201213i | ||||
\(372\) | −2.51289 | − | 4.66539i | −0.130287 | − | 0.241889i | ||||
\(373\) | 15.7801 | − | 27.3320i | 0.817065 | − | 1.41520i | −0.0907705 | − | 0.995872i | \(-0.528933\pi\) |
0.907836 | − | 0.419326i | \(-0.137734\pi\) | |||||||
\(374\) | −3.03766 | − | 5.26139i | −0.157074 | − | 0.272060i | ||||
\(375\) | 17.7773 | + | 10.9761i | 0.918018 | + | 0.566804i | ||||
\(376\) | −0.679782 | − | 0.392473i | −0.0350571 | − | 0.0202402i | ||||
\(377\) | −8.10496 | − | 20.6401i | −0.417427 | − | 1.06302i | ||||
\(378\) | 1.26894 | + | 13.6890i | 0.0652671 | + | 0.704088i | ||||
\(379\) | −2.07577 | + | 2.07577i | −0.106625 | + | 0.106625i | −0.758407 | − | 0.651782i | \(-0.774022\pi\) |
0.651782 | + | 0.758407i | \(0.274022\pi\) | |||||||
\(380\) | 7.42635 | + | 4.28760i | 0.380964 | + | 0.219949i | ||||
\(381\) | −12.7206 | + | 3.00888i | −0.651696 | + | 0.154150i | ||||
\(382\) | −23.3493 | − | 6.25642i | −1.19465 | − | 0.320106i | ||||
\(383\) | −14.1117 | + | 3.78122i | −0.721074 | + | 0.193211i | −0.600651 | − | 0.799511i | \(-0.705092\pi\) |
−0.120423 | + | 0.992723i | \(0.538425\pi\) | |||||||
\(384\) | −1.52492 | + | 0.821356i | −0.0778181 | + | 0.0419146i | ||||
\(385\) | −10.0358 | − | 11.8036i | −0.511471 | − | 0.601566i | ||||
\(386\) | 7.15556i | 0.364209i | ||||||||
\(387\) | 2.59099 | + | 5.17051i | 0.131707 | + | 0.262832i | ||||
\(388\) | 2.65880 | − | 9.92278i | 0.134980 | − | 0.503753i | ||||
\(389\) | −12.8526 | − | 22.2613i | −0.651652 | − | 1.12869i | −0.982722 | − | 0.185088i | \(-0.940743\pi\) |
0.331070 | − | 0.943606i | \(-0.392590\pi\) | |||||||
\(390\) | −11.0995 | − | 5.23559i | −0.562043 | − | 0.265115i | ||||
\(391\) | −6.56103 | −0.331805 | ||||||||
\(392\) | −4.08920 | − | 5.68141i | −0.206536 | − | 0.286955i | ||||
\(393\) | −0.301246 | + | 1.00461i | −0.0151959 | + | 0.0506760i | ||||
\(394\) | 18.0548 | + | 10.4239i | 0.909587 | + | 0.525150i | ||||
\(395\) | 4.98023 | − | 18.5865i | 0.250582 | − | 0.935186i | ||||
\(396\) | −6.68342 | + | 5.93713i | −0.335855 | + | 0.298352i | ||||
\(397\) | −26.5243 | + | 7.10715i | −1.33121 | + | 0.356698i | −0.853168 | − | 0.521637i | \(-0.825322\pi\) |
−0.478047 | + | 0.878334i | \(0.658655\pi\) | |||||||
\(398\) | −3.16978 | + | 3.16978i | −0.158887 | + | 0.158887i | ||||
\(399\) | 18.6283 | + | 7.27031i | 0.932582 | + | 0.363971i | ||||
\(400\) | 1.13821i | 0.0569107i | ||||||||
\(401\) | −4.48360 | − | 16.7330i | −0.223900 | − | 0.835608i | −0.982842 | − | 0.184449i | \(-0.940950\pi\) |
0.758942 | − | 0.651159i | \(-0.225717\pi\) | |||||||
\(402\) | 0.270712 | + | 1.14449i | 0.0135019 | + | 0.0570818i | ||||
\(403\) | 10.9614 | − | 1.23706i | 0.546025 | − | 0.0616222i | ||||
\(404\) | 4.12046 | + | 2.37895i | 0.205000 | + | 0.118357i | ||||
\(405\) | −6.55903 | + | 16.4251i | −0.325921 | + | 0.816170i | ||||
\(406\) | 9.24621 | − | 13.3893i | 0.458882 | − | 0.664498i | ||||
\(407\) | 12.1168 | 0.600609 | ||||||||
\(408\) | 0.104271 | − | 3.52972i | 0.00516218 | − | 0.174747i | ||||
\(409\) | 8.62264 | + | 2.31043i | 0.426362 | + | 0.114243i | 0.465618 | − | 0.884986i | \(-0.345832\pi\) |
−0.0392560 | + | 0.999229i | \(0.512499\pi\) | |||||||
\(410\) | −19.3964 | − | 5.19726i | −0.957921 | − | 0.256674i | ||||
\(411\) | −0.238712 | + | 8.08076i | −0.0117748 | + | 0.398595i | ||||
\(412\) | 10.3960 | 0.512174 | ||||||||
\(413\) | −3.03389 | − | 6.39735i | −0.149288 | − | 0.314793i | ||||
\(414\) | 1.94390 | + | 9.45663i | 0.0955373 | + | 0.464768i | ||||
\(415\) | −11.6343 | − | 6.71709i | −0.571108 | − | 0.329729i | ||||
\(416\) | −0.404341 | − | 3.58281i | −0.0198245 | − | 0.175662i | ||||
\(417\) | 0.480695 | + | 2.03223i | 0.0235397 | + | 0.0995186i | ||||
\(418\) | 3.36548 | + | 12.5601i | 0.164611 | + | 0.614336i | ||||
\(419\) | − | 2.60621i | − | 0.127322i | −0.997972 | − | 0.0636609i | \(-0.979722\pi\) | ||
0.997972 | − | 0.0636609i | \(-0.0202776\pi\) | |||||||
\(420\) | −1.35909 | − | 8.90227i | −0.0663166 | − | 0.434386i | ||||
\(421\) | 11.8588 | − | 11.8588i | 0.577963 | − | 0.577963i | −0.356379 | − | 0.934342i | \(-0.615989\pi\) |
0.934342 | + | 0.356379i | \(0.115989\pi\) | |||||||
\(422\) | 20.5600 | − | 5.50904i | 1.00085 | − | 0.268176i | ||||
\(423\) | −1.56392 | − | 1.76051i | −0.0760406 | − | 0.0855989i | ||||
\(424\) | 1.12868 | − | 4.21228i | 0.0548134 | − | 0.204566i | ||||
\(425\) | −2.00967 | − | 1.16028i | −0.0974832 | − | 0.0562819i | ||||
\(426\) | 5.37993 | − | 17.9413i | 0.260659 | − | 0.869257i | ||||
\(427\) | 14.1871 | − | 2.59672i | 0.686564 | − | 0.125664i | ||||
\(428\) | 14.8771 | 0.719113 | ||||||||
\(429\) | −6.28747 | − | 17.5151i | −0.303562 | − | 0.845635i | ||||
\(430\) | −1.89419 | − | 3.28084i | −0.0913460 | − | 0.158216i | ||||
\(431\) | −5.13915 | + | 19.1796i | −0.247544 | + | 0.923848i | 0.724543 | + | 0.689229i | \(0.242051\pi\) |
−0.972087 | + | 0.234619i | \(0.924616\pi\) | |||||||
\(432\) | −5.11841 | + | 0.895495i | −0.246259 | + | 0.0430845i | ||||
\(433\) | 8.74957i | 0.420477i | 0.977650 | + | 0.210239i | \(0.0674241\pi\) | ||||
−0.977650 | + | 0.210239i | \(0.932576\pi\) | |||||||
\(434\) | 5.24322 | + | 6.16682i | 0.251683 | + | 0.296017i | ||||
\(435\) | 18.4298 | − | 9.92674i | 0.883643 | − | 0.475951i | ||||
\(436\) | 10.5021 | − | 2.81402i | 0.502958 | − | 0.134767i | ||||
\(437\) | 13.5643 | + | 3.63454i | 0.648867 | + | 0.173863i | ||||
\(438\) | 19.9191 | − | 4.71160i | 0.951774 | − | 0.225129i | ||||
\(439\) | −18.0150 | − | 10.4010i | −0.859808 | − | 0.496410i | 0.00414009 | − | 0.999991i | \(-0.498682\pi\) |
−0.863948 | + | 0.503581i | \(0.832015\pi\) | |||||||
\(440\) | 4.14075 | − | 4.14075i | 0.197403 | − | 0.197403i | ||||
\(441\) | −6.26598 | − | 20.0434i | −0.298380 | − | 0.954447i | ||||
\(442\) | 6.73810 | + | 2.93835i | 0.320499 | + | 0.139763i | ||||
\(443\) | 2.35905 | + | 1.36200i | 0.112082 | + | 0.0647106i | 0.554993 | − | 0.831855i | \(-0.312721\pi\) |
−0.442911 | + | 0.896566i | \(0.646054\pi\) | |||||||
\(444\) | 5.99267 | + | 3.70000i | 0.284399 | + | 0.175594i | ||||
\(445\) | 12.3164 | + | 21.3326i | 0.583852 | + | 1.01126i | ||||
\(446\) | 11.6057 | − | 20.1017i | 0.549546 | − | 0.951841i | ||||
\(447\) | 16.2995 | + | 30.2614i | 0.770939 | + | 1.43132i | ||||
\(448\) | 2.01567 | − | 1.71379i | 0.0952315 | − | 0.0809689i | ||||
\(449\) | −22.4174 | + | 22.4174i | −1.05794 | + | 1.05794i | −0.0597270 | + | 0.998215i | \(0.519023\pi\) |
−0.998215 | + | 0.0597270i | \(0.980977\pi\) | |||||||
\(450\) | −1.07693 | + | 3.24037i | −0.0507670 | + | 0.152752i | ||||
\(451\) | −15.2249 | − | 26.3703i | −0.716911 | − | 1.24173i | ||||
\(452\) | 8.06919 | + | 13.9762i | 0.379543 | + | 0.657387i | ||||
\(453\) | −12.3801 | − | 0.365720i | −0.581670 | − | 0.0171830i | ||||
\(454\) | − | 4.31617i | − | 0.202568i | ||||||
\(455\) | 18.2518 | + | 4.27717i | 0.855658 | + | 0.200517i | ||||
\(456\) | −2.17089 | + | 7.23960i | −0.101661 | + | 0.339025i | ||||
\(457\) | −4.85785 | − | 18.1297i | −0.227241 | − | 0.848074i | −0.981494 | − | 0.191491i | \(-0.938668\pi\) |
0.754254 | − | 0.656583i | \(-0.227999\pi\) | |||||||
\(458\) | −16.5571 | + | 9.55923i | −0.773661 | + | 0.446674i | ||||
\(459\) | 3.63653 | − | 9.95008i | 0.169739 | − | 0.464430i | ||||
\(460\) | −1.63679 | − | 6.10858i | −0.0763157 | − | 0.284814i | ||||
\(461\) | 25.1394 | + | 25.1394i | 1.17086 | + | 1.17086i | 0.982006 | + | 0.188852i | \(0.0604765\pi\) |
0.188852 | + | 0.982006i | \(0.439523\pi\) | |||||||
\(462\) | 8.08808 | − | 11.0026i | 0.376292 | − | 0.511888i | ||||
\(463\) | 16.7958 | + | 16.7958i | 0.780567 | + | 0.780567i | 0.979926 | − | 0.199359i | \(-0.0638860\pi\) |
−0.199359 | + | 0.979926i | \(0.563886\pi\) | |||||||
\(464\) | 5.32613 | + | 3.07504i | 0.247259 | + | 0.142755i | ||||
\(465\) | 2.39702 | + | 10.1339i | 0.111159 | + | 0.469946i | ||||
\(466\) | 4.06551 | − | 15.1727i | 0.188331 | − | 0.702862i | ||||
\(467\) | 6.43406 | − | 11.1441i | 0.297733 | − | 0.515688i | −0.677884 | − | 0.735169i | \(-0.737103\pi\) |
0.975617 | + | 0.219480i | \(0.0704362\pi\) | |||||||
\(468\) | 2.23879 | − | 10.5824i | 0.103488 | − | 0.489173i | ||||
\(469\) | −0.769784 | − | 1.62319i | −0.0355453 | − | 0.0749519i | ||||
\(470\) | 1.09073 | + | 1.09073i | 0.0503118 | + | 0.0503118i | ||||
\(471\) | −23.6092 | + | 22.2544i | −1.08785 | + | 1.02543i | ||||
\(472\) | 2.31757 | − | 1.33805i | 0.106675 | − | 0.0615887i | ||||
\(473\) | 1.48681 | − | 5.54886i | 0.0683637 | − | 0.255137i | ||||
\(474\) | 16.9524 | + | 0.500786i | 0.778647 | + | 0.0230019i | ||||
\(475\) | 3.51204 | + | 3.51204i | 0.161143 | + | 0.161143i | ||||
\(476\) | 0.971167 | + | 5.30595i | 0.0445134 | + | 0.243198i | ||||
\(477\) | 7.19870 | − | 10.9240i | 0.329606 | − | 0.500175i | ||||
\(478\) | 22.4047 | + | 12.9354i | 1.02477 | + | 0.591650i | ||||
\(479\) | 20.8166 | + | 5.57779i | 0.951135 | + | 0.254856i | 0.700844 | − | 0.713315i | \(-0.252807\pi\) |
0.250291 | + | 0.968171i | \(0.419474\pi\) | |||||||
\(480\) | 3.31233 | − | 0.783485i | 0.151186 | − | 0.0357610i | ||||
\(481\) | −11.7946 | + | 8.70808i | −0.537786 | + | 0.397054i | ||||
\(482\) | − | 29.0777i | − | 1.32445i | ||||||
\(483\) | −5.92296 | − | 13.5056i | −0.269504 | − | 0.614525i | ||||
\(484\) | −2.12026 | −0.0963756 | ||||||||
\(485\) | −10.0938 | + | 17.4829i | −0.458335 | + | 0.793859i | ||||
\(486\) | −15.4188 | − | 2.29345i | −0.699412 | − | 0.104033i | ||||
\(487\) | −6.76544 | − | 1.81279i | −0.306571 | − | 0.0821455i | 0.102254 | − | 0.994758i | \(-0.467395\pi\) |
−0.408825 | + | 0.912613i | \(0.634061\pi\) | |||||||
\(488\) | 1.41090 | + | 5.26556i | 0.0638686 | + | 0.238361i | ||||
\(489\) | 3.92016 | + | 7.27812i | 0.177276 | + | 0.329128i | ||||
\(490\) | 4.87239 | + | 12.8642i | 0.220112 | + | 0.581145i | ||||
\(491\) | −4.58195 | −0.206780 | −0.103390 | − | 0.994641i | \(-0.532969\pi\) | ||||
−0.103390 | + | 0.994641i | \(0.532969\pi\) | |||||||
\(492\) | 0.522609 | − | 17.6911i | 0.0235611 | − | 0.797577i | ||||
\(493\) | −10.8588 | + | 6.26932i | −0.489055 | + | 0.282356i | ||||
\(494\) | −12.3026 | − | 9.80738i | −0.553522 | − | 0.441255i | ||||
\(495\) | 15.7061 | − | 7.87045i | 0.705936 | − | 0.353751i | ||||
\(496\) | −2.16335 | + | 2.16335i | −0.0971372 | + | 0.0971372i | ||||
\(497\) | −2.30842 | + | 28.5181i | −0.103547 | + | 1.27921i | ||||
\(498\) | 3.40098 | − | 11.3418i | 0.152402 | − | 0.508237i | ||||
\(499\) | −2.71651 | − | 10.1382i | −0.121608 | − | 0.453846i | 0.878088 | − | 0.478498i | \(-0.158819\pi\) |
−0.999696 | + | 0.0246524i | \(0.992152\pi\) | |||||||
\(500\) | 3.12200 | − | 11.6514i | 0.139620 | − | 0.521069i | ||||
\(501\) | 31.7988 | + | 19.6333i | 1.42067 | + | 0.877151i | ||||
\(502\) | 28.6302 | − | 7.67144i | 1.27783 | − | 0.342393i | ||||
\(503\) | − | 6.06721i | − | 0.270524i | −0.990810 | − | 0.135262i | \(-0.956812\pi\) | ||
0.990810 | − | 0.135262i | \(-0.0431876\pi\) | |||||||
\(504\) | 7.35991 | − | 2.97182i | 0.327836 | − | 0.132375i | ||||
\(505\) | −6.61141 | − | 6.61141i | −0.294204 | − | 0.294204i | ||||
\(506\) | 4.79482 | − | 8.30487i | 0.213156 | − | 0.369197i | ||||
\(507\) | 18.7079 | + | 12.5306i | 0.830846 | + | 0.556502i | ||||
\(508\) | 3.77345 | + | 6.53581i | 0.167420 | + | 0.289980i | ||||
\(509\) | −24.4905 | + | 6.56221i | −1.08552 | + | 0.290865i | −0.756856 | − | 0.653582i | \(-0.773266\pi\) |
−0.328666 | + | 0.944446i | \(0.606599\pi\) | |||||||
\(510\) | −1.99320 | + | 6.64703i | −0.0882604 | + | 0.294335i | ||||
\(511\) | −28.2507 | + | 13.3977i | −1.24974 | + | 0.592677i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −13.0301 | + | 18.5563i | −0.575293 | + | 0.819282i | ||||
\(514\) | 7.62785 | − | 28.4675i | 0.336450 | − | 1.25565i | ||||
\(515\) | −19.7335 | − | 5.28758i | −0.869562 | − | 0.232999i | ||||
\(516\) | 2.42974 | − | 2.29031i | 0.106963 | − | 0.100825i | ||||
\(517\) | 2.33905i | 0.102871i | ||||||||
\(518\) | −10.1331 | − | 3.61375i | −0.445221 | − | 0.158779i | ||||
\(519\) | 11.3258 | + | 3.39618i | 0.497145 | + | 0.149076i | ||||
\(520\) | −1.05476 | + | 7.00648i | −0.0462543 | + | 0.307254i | ||||
\(521\) | 26.8303 | − | 15.4905i | 1.17546 | − | 0.678650i | 0.220497 | − | 0.975388i | \(-0.429232\pi\) |
0.954959 | + | 0.296737i | \(0.0958986\pi\) | |||||||
\(522\) | 12.2534 | + | 13.7937i | 0.536318 | + | 0.603733i | ||||
\(523\) | 0.968980 | − | 1.67832i | 0.0423705 | − | 0.0733879i | −0.844062 | − | 0.536245i | \(-0.819842\pi\) |
0.886433 | + | 0.462857i | \(0.153176\pi\) | |||||||
\(524\) | 0.605528 | 0.0264526 | ||||||||
\(525\) | 0.574163 | − | 5.18425i | 0.0250585 | − | 0.226259i | ||||
\(526\) | 12.1246 | − | 12.1246i | 0.528658 | − | 0.528658i | ||||
\(527\) | −1.61439 | − | 6.02497i | −0.0703237 | − | 0.262452i | ||||
\(528\) | 4.39168 | + | 2.71152i | 0.191123 | + | 0.118004i | ||||
\(529\) | 6.32185 | + | 10.9498i | 0.274863 | + | 0.476077i | ||||
\(530\) | −4.28487 | + | 7.42161i | −0.186123 | + | 0.322374i | ||||
\(531\) | 7.86388 | − | 1.61649i | 0.341263 | − | 0.0701497i | ||||
\(532\) | 0.931484 | − | 11.5075i | 0.0403850 | − | 0.498914i | ||||
\(533\) | 33.7716 | + | 14.7271i | 1.46281 | + | 0.637903i | ||||
\(534\) | −15.7986 | + | 14.8920i | −0.683672 | + | 0.644439i | ||||
\(535\) | −28.2395 | − | 7.56675i | −1.22090 | − | 0.327139i | ||||
\(536\) | 0.588033 | − | 0.339501i | 0.0253992 | − | 0.0146642i | ||||
\(537\) | 13.3886 | − | 12.6203i | 0.577761 | − | 0.544605i | ||||
\(538\) | 8.24468 | − | 8.24468i | 0.355453 | − | 0.355453i | ||||
\(539\) | −8.56911 | + | 19.0178i | −0.369098 | + | 0.819155i | ||||
\(540\) | 10.1711 | + | 0.903493i | 0.437696 | + | 0.0388802i | ||||
\(541\) | 10.5211 | − | 2.81912i | 0.452337 | − | 0.121203i | −0.0254556 | − | 0.999676i | \(-0.508104\pi\) |
0.477793 | + | 0.878473i | \(0.341437\pi\) | |||||||
\(542\) | 21.9619 | − | 12.6797i | 0.943344 | − | 0.544640i | ||||
\(543\) | −33.1963 | + | 7.85212i | −1.42459 | + | 0.336967i | ||||
\(544\) | −1.96931 | + | 0.527674i | −0.0844333 | + | 0.0226238i | ||||
\(545\) | −21.3661 | −0.915224 | ||||||||
\(546\) | 0.0343447 | + | 16.5227i | 0.00146982 | + | 0.707105i | ||||
\(547\) | −34.1078 | −1.45834 | −0.729171 | − | 0.684331i | \(-0.760094\pi\) | ||||
−0.729171 | + | 0.684331i | \(0.760094\pi\) | |||||||
\(548\) | 4.50842 | − | 1.20803i | 0.192590 | − | 0.0516044i | ||||
\(549\) | −0.965375 | + | 16.3254i | −0.0412012 | + | 0.696752i | ||||
\(550\) | 2.93734 | − | 1.69587i | 0.125249 | − | 0.0723123i | ||||
\(551\) | 25.9224 | − | 6.94589i | 1.10433 | − | 0.295905i | ||||
\(552\) | 4.90737 | − | 2.64322i | 0.208871 | − | 0.112503i | ||||
\(553\) | −25.4831 | + | 4.66426i | −1.08365 | + | 0.198345i | ||||
\(554\) | −20.2268 | + | 20.2268i | −0.859356 | + | 0.859356i | ||||
\(555\) | −9.49329 | − | 10.0712i | −0.402968 | − | 0.427500i | ||||
\(556\) | 1.04415 | − | 0.602841i | 0.0442819 | − | 0.0255662i | ||||
\(557\) | 21.8948 | + | 5.86670i | 0.927713 | + | 0.248580i | 0.690879 | − | 0.722970i | \(-0.257224\pi\) |
0.236834 | + | 0.971550i | \(0.423890\pi\) | |||||||
\(558\) | −8.20568 | + | 4.11194i | −0.347374 | + | 0.174072i | ||||
\(559\) | 2.54056 | + | 6.46981i | 0.107454 | + | 0.273644i | ||||
\(560\) | −4.69777 | + | 2.22788i | −0.198517 | + | 0.0941450i | ||||
\(561\) | −9.26437 | + | 4.99001i | −0.391142 | + | 0.210678i | ||||
\(562\) | 0.317310 | − | 0.549597i | 0.0133849 | − | 0.0231834i | ||||
\(563\) | 12.6747 | + | 21.9532i | 0.534175 | + | 0.925218i | 0.999203 | + | 0.0399219i | \(0.0127109\pi\) |
−0.465028 | + | 0.885296i | \(0.653956\pi\) | |||||||
\(564\) | −0.714253 | + | 1.15683i | −0.0300755 | + | 0.0487114i | ||||
\(565\) | −8.20824 | − | 30.6336i | −0.345323 | − | 1.28876i | ||||
\(566\) | −20.3790 | + | 20.3790i | −0.856594 | + | 0.856594i | ||||
\(567\) | 23.7647 | − | 1.49679i | 0.998022 | − | 0.0628594i | ||||
\(568\) | −10.8141 | −0.453749 | ||||||||
\(569\) | 11.4337 | − | 19.8037i | 0.479325 | − | 0.830215i | −0.520394 | − | 0.853926i | \(-0.674215\pi\) |
0.999719 | + | 0.0237110i | \(0.00754816\pi\) | |||||||
\(570\) | 7.80292 | − | 12.6379i | 0.326828 | − | 0.529344i | ||||
\(571\) | 39.5683 | − | 22.8448i | 1.65588 | − | 0.956023i | 0.681295 | − | 0.732009i | \(-0.261417\pi\) |
0.974586 | − | 0.224015i | \(-0.0719164\pi\) | |||||||
\(572\) | −8.64356 | + | 6.38165i | −0.361405 | + | 0.266830i | ||||
\(573\) | −12.0259 | + | 40.1045i | −0.502388 | + | 1.67539i | ||||
\(574\) | 4.86752 | + | 26.5936i | 0.203166 | + | 1.11000i | ||||
\(575\) | − | 3.66291i | − | 0.152754i | ||||||
\(576\) | 1.34402 | + | 2.68209i | 0.0560008 | + | 0.111754i | ||||
\(577\) | 4.20984 | + | 1.12802i | 0.175258 | + | 0.0469602i | 0.345381 | − | 0.938463i | \(-0.387750\pi\) |
−0.170123 | + | 0.985423i | \(0.554416\pi\) | |||||||
\(578\) | −3.32411 | + | 12.4058i | −0.138265 | + | 0.516012i | ||||
\(579\) | 12.3884 | + | 0.365963i | 0.514844 | + | 0.0152089i | ||||
\(580\) | −8.54595 | − | 8.54595i | −0.354851 | − | 0.354851i | ||||
\(581\) | −1.45929 | + | 18.0280i | −0.0605416 | + | 0.747929i | ||||
\(582\) | −17.0433 | − | 5.11066i | −0.706467 | − | 0.211844i | ||||
\(583\) | −12.5521 | + | 3.36333i | −0.519856 | + | 0.139295i | ||||
\(584\) | −5.90883 | − | 10.2344i | −0.244509 | − | 0.423502i | ||||
\(585\) | −9.63203 | + | 18.9487i | −0.398235 | + | 0.783432i | ||||
\(586\) | 1.85243 | − | 3.20850i | 0.0765231 | − | 0.132542i | ||||
\(587\) | 7.29612 | + | 7.29612i | 0.301143 | + | 0.301143i | 0.841461 | − | 0.540318i | \(-0.181696\pi\) |
−0.540318 | + | 0.841461i | \(0.681696\pi\) | |||||||
\(588\) | −10.0453 | + | 6.78905i | −0.414263 | + | 0.279976i | ||||
\(589\) | 13.3503i | 0.550091i | ||||||||
\(590\) | −5.07973 | + | 1.36111i | −0.209129 | + | 0.0560359i | ||||
\(591\) | 18.9703 | − | 30.7251i | 0.780334 | − | 1.26386i | ||||
\(592\) | 1.05241 | − | 3.92765i | 0.0432538 | − | 0.161425i | ||||
\(593\) | 6.45528 | + | 24.0914i | 0.265086 | + | 0.989316i | 0.962197 | + | 0.272353i | \(0.0878018\pi\) |
−0.697111 | + | 0.716963i | \(0.745532\pi\) | |||||||
\(594\) | 9.93711 | + | 11.8746i | 0.407724 | + | 0.487222i | ||||
\(595\) | 0.855241 | − | 10.5656i | 0.0350615 | − | 0.433148i | ||||
\(596\) | 14.0323 | − | 14.0323i | 0.574784 | − | 0.574784i | ||||
\(597\) | 5.32571 | + | 5.64993i | 0.217967 | + | 0.231236i | ||||
\(598\) | 1.30122 | + | 11.5299i | 0.0532108 | + | 0.471493i | ||||
\(599\) | −23.3553 | + | 13.4842i | −0.954273 | + | 0.550950i | −0.894406 | − | 0.447257i | \(-0.852401\pi\) |
−0.0598673 | + | 0.998206i | \(0.519068\pi\) | |||||||
\(600\) | 1.97058 | + | 0.0582126i | 0.0804488 | + | 0.00237652i | ||||
\(601\) | 2.30129 | 0.0938717 | 0.0469358 | − | 0.998898i | \(-0.485054\pi\) | ||||
0.0469358 | + | 0.998898i | \(0.485054\pi\) | |||||||
\(602\) | −2.89829 | + | 4.19697i | −0.118126 | + | 0.171056i | ||||
\(603\) | 1.99529 | − | 0.410150i | 0.0812544 | − | 0.0167026i | ||||
\(604\) | 1.85076 | + | 6.90714i | 0.0753065 | + | 0.281048i | ||||
\(605\) | 4.02465 | + | 1.07840i | 0.163625 | + | 0.0438432i | ||||
\(606\) | 4.32940 | − | 7.01206i | 0.175870 | − | 0.284846i | ||||
\(607\) | 6.18973 | − | 10.7209i | 0.251233 | − | 0.435149i | −0.712632 | − | 0.701538i | \(-0.752497\pi\) |
0.963866 | + | 0.266389i | \(0.0858305\pi\) | |||||||
\(608\) | 4.36366 | 0.176970 | ||||||||
\(609\) | −22.7079 | − | 16.6927i | −0.920170 | − | 0.676422i | ||||
\(610\) | − | 10.7126i | − | 0.433741i | ||||||
\(611\) | −1.68102 | − | 2.27684i | −0.0680067 | − | 0.0921110i | ||||
\(612\) | −6.10566 | − | 0.361047i | −0.246807 | − | 0.0145945i | ||||
\(613\) | 6.16430 | + | 1.65172i | 0.248974 | + | 0.0667123i | 0.381147 | − | 0.924514i | \(-0.375529\pi\) |
−0.132174 | + | 0.991227i | \(0.542196\pi\) | |||||||
\(614\) | 13.0208 | + | 7.51756i | 0.525476 | + | 0.303384i | ||||
\(615\) | −9.98999 | + | 33.3151i | −0.402835 | + | 1.34340i | ||||
\(616\) | −7.42594 | − | 2.64831i | −0.299200 | − | 0.106704i | ||||
\(617\) | −8.49833 | − | 8.49833i | −0.342130 | − | 0.342130i | 0.515038 | − | 0.857168i | \(-0.327778\pi\) |
−0.857168 | + | 0.515038i | \(0.827778\pi\) | |||||||
\(618\) | 0.531692 | − | 17.9986i | 0.0213878 | − | 0.724008i | ||||
\(619\) | 1.19950 | − | 4.47660i | 0.0482120 | − | 0.179930i | −0.937621 | − | 0.347659i | \(-0.886977\pi\) |
0.985833 | + | 0.167729i | \(0.0536434\pi\) | |||||||
\(620\) | 5.20674 | − | 3.00611i | 0.209108 | − | 0.120728i | ||||
\(621\) | 16.4716 | − | 2.88181i | 0.660984 | − | 0.115643i | ||||
\(622\) | 10.1511 | + | 10.1511i | 0.407024 | + | 0.407024i | ||||
\(623\) | 18.8452 | − | 27.2894i | 0.755018 | − | 1.09333i | ||||
\(624\) | −6.22358 | + | 0.516796i | −0.249143 | + | 0.0206884i | ||||
\(625\) | −9.00670 | + | 15.6001i | −0.360268 | + | 0.624003i | ||||
\(626\) | −3.31837 | + | 12.3843i | −0.132629 | + | 0.494978i | ||||
\(627\) | 21.9174 | − | 5.18426i | 0.875298 | − | 0.207040i | ||||
\(628\) | 16.2223 | + | 9.36594i | 0.647340 | + | 0.373742i | ||||
\(629\) | 5.86197 | + | 5.86197i | 0.233732 | + | 0.233732i | ||||
\(630\) | −15.4820 | + | 1.89768i | −0.616816 | + | 0.0756055i | ||||
\(631\) | −2.19609 | − | 2.19609i | −0.0874251 | − | 0.0874251i | 0.662042 | − | 0.749467i | \(-0.269690\pi\) |
−0.749467 | + | 0.662042i | \(0.769690\pi\) | |||||||
\(632\) | −2.53428 | − | 9.45807i | −0.100808 | − | 0.376222i | ||||
\(633\) | −8.48626 | − | 35.8772i | −0.337298 | − | 1.42599i | ||||
\(634\) | −28.4201 | + | 16.4083i | −1.12871 | + | 0.651659i | ||||
\(635\) | −3.83848 | − | 14.3254i | −0.152325 | − | 0.568486i | ||||
\(636\) | −7.23497 | − | 2.16951i | −0.286885 | − | 0.0860265i | ||||
\(637\) | −5.32645 | − | 24.6704i | −0.211042 | − | 0.977477i | ||||
\(638\) | − | 18.3266i | − | 0.725556i | ||||||
\(639\) | −30.7865 | − | 10.2318i | −1.21789 | − | 0.404765i | ||||
\(640\) | −0.982571 | − | 1.70186i | −0.0388395 | − | 0.0672721i | ||||
\(641\) | 12.7864 | + | 22.1467i | 0.505032 | + | 0.874741i | 0.999983 | + | 0.00582025i | \(0.00185265\pi\) |
−0.494951 | + | 0.868921i | \(0.664814\pi\) | |||||||
\(642\) | 0.760874 | − | 25.7567i | 0.0300293 | − | 1.01654i | ||||
\(643\) | −3.48176 | + | 3.48176i | −0.137307 | + | 0.137307i | −0.772420 | − | 0.635112i | \(-0.780954\pi\) |
0.635112 | + | 0.772420i | \(0.280954\pi\) | |||||||
\(644\) | −6.48667 | + | 5.51517i | −0.255611 | + | 0.217328i | ||||
\(645\) | −5.77697 | + | 3.11161i | −0.227468 | + | 0.122520i | ||||
\(646\) | −4.44826 | + | 7.70461i | −0.175014 | + | 0.303134i | ||||
\(647\) | 3.72444 | + | 6.45091i | 0.146423 | + | 0.253612i | 0.929903 | − | 0.367805i | \(-0.119891\pi\) |
−0.783480 | + | 0.621417i | \(0.786557\pi\) | |||||||
\(648\) | 1.28859 | + | 8.90727i | 0.0506206 | + | 0.349911i | ||||
\(649\) | −6.90610 | − | 3.98724i | −0.271088 | − | 0.156513i | ||||
\(650\) | −1.64043 | + | 3.76176i | −0.0643430 | + | 0.147549i | ||||
\(651\) | 10.9447 | − | 8.76217i | 0.428958 | − | 0.343417i | ||||
\(652\) | 3.37488 | − | 3.37488i | 0.132170 | − | 0.132170i | ||||
\(653\) | −25.0837 | − | 14.4821i | −0.981603 | − | 0.566729i | −0.0788492 | − | 0.996887i | \(-0.525125\pi\) |
−0.902754 | + | 0.430158i | \(0.858458\pi\) | |||||||
\(654\) | −4.33479 | − | 18.3261i | −0.169504 | − | 0.716608i | ||||
\(655\) | −1.14940 | − | 0.307982i | −0.0449109 | − | 0.0120338i | ||||
\(656\) | −9.87024 | + | 2.64472i | −0.385368 | + | 0.103259i | ||||
\(657\) | −7.13843 | − | 34.7269i | −0.278496 | − | 1.35483i | ||||
\(658\) | 0.697603 | − | 1.95610i | 0.0271954 | − | 0.0762567i | ||||
\(659\) | 14.9624i | 0.582853i | 0.956593 | + | 0.291427i | \(0.0941299\pi\) | ||||
−0.956593 | + | 0.291427i | \(0.905870\pi\) | |||||||
\(660\) | −6.95709 | − | 7.38064i | −0.270804 | − | 0.287291i | ||||
\(661\) | −9.14717 | + | 34.1377i | −0.355784 | + | 1.32780i | 0.523712 | + | 0.851896i | \(0.324547\pi\) |
−0.879495 | + | 0.475907i | \(0.842120\pi\) | |||||||
\(662\) | −3.29084 | − | 5.69990i | −0.127902 | − | 0.221533i | ||||
\(663\) | 5.43177 | − | 11.5154i | 0.210953 | − | 0.447220i | ||||
\(664\) | −6.83624 | −0.265298 | ||||||||
\(665\) | −7.62104 | + | 21.3696i | −0.295531 | + | 0.828677i | ||||
\(666\) | 6.71228 | − | 10.1858i | 0.260096 | − | 0.394693i | ||||
\(667\) | −17.1401 | − | 9.89585i | −0.663668 | − | 0.383169i | ||||
\(668\) | 5.58440 | − | 20.8413i | 0.216067 | − | 0.806373i | ||||
\(669\) | −34.2083 | − | 21.1210i | −1.32257 | − | 0.816584i | ||||
\(670\) | −1.28887 | + | 0.345352i | −0.0497934 | + | 0.0133421i | ||||
\(671\) | 11.4865 | − | 11.4865i | 0.443430 | − | 0.443430i | ||||
\(672\) | −2.86398 | − | 3.57737i | −0.110481 | − | 0.138000i | ||||
\(673\) | 0.983033i | 0.0378931i | 0.999820 | + | 0.0189466i | \(0.00603124\pi\) | ||||
−0.999820 | + | 0.0189466i | \(0.993969\pi\) | |||||||
\(674\) | 2.80781 | + | 10.4789i | 0.108153 | + | 0.403632i | ||||
\(675\) | 5.55496 | + | 2.03021i | 0.213810 | + | 0.0781429i | ||||
\(676\) | 3.82733 | − | 12.4238i | 0.147205 | − | 0.477840i | ||||
\(677\) | 21.1055 | + | 12.1853i | 0.811151 | + | 0.468318i | 0.847356 | − | 0.531026i | \(-0.178193\pi\) |
−0.0362043 | + | 0.999344i | \(0.511527\pi\) | |||||||
\(678\) | 24.6097 | − | 13.2553i | 0.945130 | − | 0.509069i | ||||
\(679\) | 27.0907 | + | 2.19288i | 1.03965 | + | 0.0841550i | ||||
\(680\) | 4.00649 | 0.153642 | ||||||||
\(681\) | −7.47256 | − | 0.220745i | −0.286349 | − | 0.00845898i | ||||
\(682\) | 8.80613 | + | 2.35960i | 0.337204 | + | 0.0903536i | ||||
\(683\) | −40.5076 | − | 10.8540i | −1.54998 | − | 0.415316i | −0.620506 | − | 0.784202i | \(-0.713073\pi\) |
−0.929475 | + | 0.368885i | \(0.879739\pi\) | |||||||
\(684\) | 12.4229 | + | 4.12871i | 0.475000 | + | 0.157865i | ||||
\(685\) | −9.17223 | −0.350453 | ||||||||
\(686\) | 12.8381 | − | 13.3485i | 0.490160 | − | 0.509650i | ||||
\(687\) | 15.7031 | + | 29.1541i | 0.599109 | + | 1.11230i | ||||
\(688\) | −1.66952 | − | 0.963895i | −0.0636497 | − | 0.0367482i | ||||
\(689\) | 9.80112 | − | 12.2948i | 0.373393 | − | 0.468394i | ||||
\(690\) | −10.6595 | + | 2.52135i | −0.405799 | + | 0.0959861i | ||||
\(691\) | −4.84751 | − | 18.0912i | −0.184408 | − | 0.688220i | −0.994756 | − | 0.102272i | \(-0.967389\pi\) |
0.810348 | − | 0.585948i | \(-0.199278\pi\) | |||||||
\(692\) | − | 6.82658i | − | 0.259508i | ||||||
\(693\) | −18.6351 | − | 14.5656i | −0.707889 | − | 0.553301i | ||||
\(694\) | −18.0104 | + | 18.0104i | −0.683666 | + | 0.683666i | ||||
\(695\) | −2.28861 | + | 0.613230i | −0.0868118 | + | 0.0232611i | ||||
\(696\) | 5.59621 | − | 9.06383i | 0.212124 | − | 0.343564i | ||||
\(697\) | 5.39200 | − | 20.1232i | 0.204236 | − | 0.762221i | ||||
\(698\) | −15.7084 | − | 9.06923i | −0.594570 | − | 0.343275i | ||||
\(699\) | −26.0605 | − | 7.81459i | −0.985699 | − | 0.295575i | ||||
\(700\) | −2.96222 | + | 0.542186i | −0.111961 | + | 0.0204927i | ||||
\(701\) | 12.5994 | 0.475874 | 0.237937 | − | 0.971281i | \(-0.423529\pi\) | ||||
0.237937 | + | 0.971281i | \(0.423529\pi\) | |||||||
\(702\) | −18.2068 | − | 4.41724i | −0.687172 | − | 0.166718i | ||||
\(703\) | −8.87176 | − | 15.3663i | −0.334605 | − | 0.579552i | ||||
\(704\) | 0.771252 | − | 2.87835i | 0.0290677 | − | 0.108482i | ||||
\(705\) | 1.94417 | − | 1.83260i | 0.0732215 | − | 0.0690196i | ||||
\(706\) | 20.3954i | 0.767589i | ||||||||
\(707\) | −4.22848 | + | 11.8568i | −0.159028 | + | 0.445920i | ||||
\(708\) | −2.19803 | − | 4.08083i | −0.0826070 | − | 0.153367i | ||||
\(709\) | −25.8508 | + | 6.92669i | −0.970846 | + | 0.260137i | −0.709185 | − | 0.705022i | \(-0.750937\pi\) |
−0.261661 | + | 0.965160i | \(0.584270\pi\) | |||||||
\(710\) | 20.5271 | + | 5.50022i | 0.770368 | + | 0.206419i | ||||
\(711\) | 1.73402 | − | 29.3239i | 0.0650307 | − | 1.09973i | ||||
\(712\) | 10.8555 | + | 6.26742i | 0.406827 | + | 0.234882i | ||||
\(713\) | 6.96191 | − | 6.96191i | 0.260726 | − | 0.260726i | ||||
\(714\) | 9.23584 | − | 1.41001i | 0.345642 | − | 0.0527683i | ||||
\(715\) | 19.6529 | − | 7.71728i | 0.734975 | − | 0.288610i | ||||
\(716\) | −9.19954 | − | 5.31136i | −0.343803 | − | 0.198495i | ||||
\(717\) | 23.5408 | − | 38.1277i | 0.879148 | − | 1.42390i | ||||
\(718\) | −11.4503 | − | 19.8325i | −0.427321 | − | 0.740142i | ||||
\(719\) | 3.39194 | − | 5.87502i | 0.126498 | − | 0.219101i | −0.795819 | − | 0.605534i | \(-0.792960\pi\) |
0.922318 | + | 0.386433i | \(0.126293\pi\) | |||||||
\(720\) | −1.18704 | − | 5.77469i | −0.0442383 | − | 0.215210i | ||||
\(721\) | 4.95212 | + | 27.0558i | 0.184426 | + | 1.00761i | ||||
\(722\) | 0.0293462 | − | 0.0293462i | 0.00109215 | − | 0.00109215i | ||||
\(723\) | −50.3420 | − | 1.48714i | −1.87224 | − | 0.0553075i | ||||
\(724\) | 9.84737 | + | 17.0562i | 0.365975 | + | 0.633887i | ||||
\(725\) | −3.50005 | − | 6.06227i | −0.129989 | − | 0.225147i | ||||
\(726\) | −0.108438 | + | 3.67080i | −0.00402453 | + | 0.136236i | ||||
\(727\) | 28.5848i | 1.06015i | 0.847951 | + | 0.530075i | \(0.177836\pi\) | ||||
−0.847951 | + | 0.530075i | \(0.822164\pi\) | |||||||
\(728\) | 9.13171 | − | 2.75897i | 0.338444 | − | 0.102254i | ||||
\(729\) | −4.75922 | + | 26.5772i | −0.176267 | + | 0.984342i | ||||
\(730\) | 6.01066 | + | 22.4321i | 0.222464 | + | 0.830248i | ||||
\(731\) | 3.40377 | − | 1.96517i | 0.125893 | − | 0.0726843i | ||||
\(732\) | 9.18841 | − | 2.17339i | 0.339613 | − | 0.0803308i | ||||
\(733\) | 12.0661 | + | 45.0312i | 0.445671 | + | 1.66327i | 0.714159 | + | 0.699984i | \(0.246809\pi\) |
−0.268488 | + | 0.963283i | \(0.586524\pi\) | |||||||
\(734\) | 6.24995 | + | 6.24995i | 0.230690 | + | 0.230690i | ||||
\(735\) | 22.5209 | − | 7.77762i | 0.830696 | − | 0.286882i | ||||
\(736\) | −2.27555 | − | 2.27555i | −0.0838780 | − | 0.0838780i | ||||
\(737\) | −1.75227 | − | 1.01168i | −0.0645458 | − | 0.0372656i | ||||
\(738\) | −30.6018 | − | 1.80958i | −1.12647 | − | 0.0666117i | ||||
\(739\) | −1.72812 | + | 6.44941i | −0.0635698 | + | 0.237246i | −0.990399 | − | 0.138237i | \(-0.955856\pi\) |
0.926829 | + | 0.375483i | \(0.122523\pi\) | |||||||
\(740\) | −3.99534 | + | 6.92013i | −0.146871 | + | 0.254389i | ||||
\(741\) | −17.6087 | + | 20.7979i | −0.646871 | + | 0.764030i | ||||
\(742\) | 11.5002 | + | 0.930890i | 0.422184 | + | 0.0341740i | ||||
\(743\) | −1.78670 | − | 1.78670i | −0.0655478 | − | 0.0655478i | 0.673573 | − | 0.739121i | \(-0.264759\pi\) |
−0.739121 | + | 0.673573i | \(0.764759\pi\) | |||||||
\(744\) | 3.63475 | + | 3.85604i | 0.133256 | + | 0.141369i | ||||
\(745\) | −33.7728 | + | 19.4987i | −1.23734 | + | 0.714379i | ||||
\(746\) | −8.16841 | + | 30.4849i | −0.299067 | + | 1.11613i | ||||
\(747\) | −19.4620 | − | 6.46817i | −0.712078 | − | 0.236658i | ||||
\(748\) | 4.29590 | + | 4.29590i | 0.157074 | + | 0.157074i | ||||
\(749\) | 7.08669 | + | 38.7180i | 0.258942 | + | 1.41472i | ||||
\(750\) | −20.0124 | − | 6.00100i | −0.730751 | − | 0.219125i | ||||
\(751\) | −9.91617 | − | 5.72510i | −0.361846 | − | 0.208912i | 0.308044 | − | 0.951372i | \(-0.400326\pi\) |
−0.669890 | + | 0.742460i | \(0.733659\pi\) | |||||||
\(752\) | 0.758199 | + | 0.203159i | 0.0276487 | + | 0.00740844i | ||||
\(753\) | −11.8173 | − | 49.9597i | −0.430645 | − | 1.82063i | ||||
\(754\) | 13.1709 | + | 17.8391i | 0.479654 | + | 0.649663i | ||||
\(755\) | − | 14.0523i | − | 0.511417i | ||||||
\(756\) | −4.76868 | − | 12.8942i | −0.173435 | − | 0.468956i | ||||
\(757\) | 9.06839 | 0.329596 | 0.164798 | − | 0.986327i | \(-0.447303\pi\) | ||||
0.164798 | + | 0.986327i | \(0.447303\pi\) | |||||||
\(758\) | 1.46779 | − | 2.54228i | 0.0533125 | − | 0.0923399i | ||||
\(759\) | −14.1330 | − | 8.72599i | −0.512994 | − | 0.316733i | ||||
\(760\) | −8.28302 | − | 2.21943i | −0.300457 | − | 0.0805071i | ||||
\(761\) | −7.13113 | − | 26.6137i | −0.258503 | − | 0.964747i | −0.966108 | − | 0.258138i | \(-0.916891\pi\) |
0.707605 | − | 0.706608i | \(-0.249776\pi\) | |||||||
\(762\) | 11.5084 | − | 6.19869i | 0.416906 | − | 0.224555i | ||||
\(763\) | 12.3262 | + | 25.9914i | 0.446238 | + | 0.940951i | ||||
\(764\) | 24.1729 | 0.874546 | ||||||||
\(765\) | 11.4060 | + | 3.79077i | 0.412386 | + | 0.137056i | ||||
\(766\) | 12.6522 | − | 7.30475i | 0.457143 | − | 0.263931i | ||||
\(767\) | 9.58795 | − | 1.08206i | 0.346201 | − | 0.0390708i | ||||
\(768\) | 1.26037 | − | 1.18805i | 0.0454799 | − | 0.0428699i | ||||
\(769\) | 33.1971 | − | 33.1971i | 1.19712 | − | 1.19712i | 0.222093 | − | 0.975025i | \(-0.428711\pi\) |
0.975025 | − | 0.222093i | \(-0.0712889\pi\) | |||||||
\(770\) | 12.7488 | + | 8.80394i | 0.459435 | + | 0.317272i | ||||
\(771\) | −48.8956 | − | 14.6620i | −1.76093 | − | 0.528039i | ||||
\(772\) | −1.85200 | − | 6.91174i | −0.0666548 | − | 0.248759i | ||||
\(773\) | 3.73452 | − | 13.9374i | 0.134321 | − | 0.501294i | −0.865679 | − | 0.500600i | \(-0.833113\pi\) |
1.00000 | 0.000693289i | \(-0.000220681\pi\) | ||||||||
\(774\) | −3.84093 | − | 4.32373i | −0.138059 | − | 0.155413i | ||||
\(775\) | 3.36364 | − | 0.901283i | 0.120825 | − | 0.0323751i | ||||
\(776\) | 10.2728i | 0.368773i | ||||||||
\(777\) | −6.77472 | + | 17.3585i | −0.243042 | + | 0.622733i | ||||
\(778\) | 18.1763 | + | 18.1763i | 0.651652 | + | 0.651652i | ||||
\(779\) | −22.2948 | + | 38.6158i | −0.798796 | + | 1.38355i | ||||
\(780\) | 12.0763 | + | 2.18444i | 0.432402 | + | 0.0782156i | ||||
\(781\) | 16.1124 | + | 27.9074i | 0.576546 | + | 0.998607i | ||||
\(782\) | 6.33747 | − | 1.69812i | 0.226627 | − | 0.0607246i | ||||
\(783\) | 24.5076 | − | 20.5088i | 0.875831 | − | 0.732926i | ||||
\(784\) | 5.42032 | + | 4.42946i | 0.193583 | + | 0.158195i | ||||
\(785\) | −26.0292 | − | 26.0292i | −0.929022 | − | 0.929022i | ||||
\(786\) | 0.0309691 | − | 1.04835i | 0.00110463 | − | 0.0373934i | ||||
\(787\) | 14.1227 | − | 52.7068i | 0.503421 | − | 1.87879i | 0.0268843 | − | 0.999639i | \(-0.491441\pi\) |
0.476537 | − | 0.879155i | \(-0.341892\pi\) | |||||||
\(788\) | −20.1375 | − | 5.39583i | −0.717369 | − | 0.192218i | ||||
\(789\) | −20.3712 | − | 21.6114i | −0.725233 | − | 0.769385i | ||||
\(790\) | 19.2421i | 0.684604i | ||||||||
\(791\) | −32.5297 | + | 27.6577i | −1.15662 | + | 0.983396i | ||||
\(792\) | 4.91905 | − | 7.46462i | 0.174791 | − | 0.265244i | ||||
\(793\) | −2.92591 | + | 19.4360i | −0.103902 | + | 0.690192i | ||||
\(794\) | 23.7810 | − | 13.7300i | 0.843956 | − | 0.487258i | ||||
\(795\) | 12.6299 | + | 7.79794i | 0.447935 | + | 0.276565i | ||||
\(796\) | 2.24137 | − | 3.88217i | 0.0794433 | − | 0.137600i | ||||
\(797\) | 8.06678 | 0.285740 | 0.142870 | − | 0.989741i | \(-0.454367\pi\) | ||||
0.142870 | + | 0.989741i | \(0.454367\pi\) | |||||||
\(798\) | −19.8753 | − | 2.20121i | −0.703577 | − | 0.0779221i | ||||
\(799\) | −1.13160 | + | 1.13160i | −0.0400332 | + | 0.0400332i | ||||
\(800\) | −0.294591 | − | 1.09943i | −0.0104154 | − | 0.0388707i | ||||
\(801\) | 24.9744 | + | 28.1137i | 0.882428 | + | 0.993348i | ||||
\(802\) | 8.66165 | + | 15.0024i | 0.305854 | + | 0.529754i | ||||
\(803\) | −17.6077 | + | 30.4974i | −0.621361 | + | 1.07623i | ||||
\(804\) | −0.557703 | − | 1.03542i | −0.0196687 | − | 0.0365166i | ||||
\(805\) | 15.1180 | − | 7.16958i | 0.532839 | − | 0.252694i | ||||
\(806\) | −10.2677 | + | 4.03192i | −0.361664 | + | 0.142018i | ||||
\(807\) | −13.8523 | − | 14.6956i | −0.487625 | − | 0.517311i | ||||
\(808\) | −4.59577 | − | 1.23143i | −0.161679 | − | 0.0433217i | ||||
\(809\) | 1.41612 | − | 0.817598i | 0.0497882 | − | 0.0287452i | −0.474899 | − | 0.880040i | \(-0.657516\pi\) |
0.524687 | + | 0.851295i | \(0.324182\pi\) | |||||||
\(810\) | 2.08440 | − | 17.5630i | 0.0732385 | − | 0.617102i | ||||
\(811\) | 30.0246 | − | 30.0246i | 1.05431 | − | 1.05431i | 0.0558683 | − | 0.998438i | \(-0.482207\pi\) |
0.998438 | − | 0.0558683i | \(-0.0177927\pi\) | |||||||
\(812\) | −5.46576 | + | 15.3261i | −0.191810 | + | 0.537842i | ||||
\(813\) | −20.8291 | − | 38.6710i | −0.730508 | − | 1.35625i | ||||
\(814\) | −11.7040 | + | 3.13607i | −0.410224 | + | 0.109919i | ||||
\(815\) | −8.12265 | + | 4.68961i | −0.284524 | + | 0.164270i | ||||
\(816\) | 0.812842 | + | 3.43644i | 0.0284552 | + | 0.120299i | ||||
\(817\) | −8.12558 | + | 2.17724i | −0.284278 | + | 0.0761720i | ||||
\(818\) | −8.92681 | −0.312119 | ||||||||
\(819\) | 28.6074 | + | 0.785573i | 0.999623 | + | 0.0274501i | ||||
\(820\) | 20.0807 | 0.701247 | ||||||||
\(821\) | −10.3146 | + | 2.76379i | −0.359982 | + | 0.0964570i | −0.434277 | − | 0.900779i | \(-0.642996\pi\) |
0.0742948 | + | 0.997236i | \(0.476329\pi\) | |||||||
\(822\) | −1.86088 | − | 7.86720i | −0.0649055 | − | 0.274400i | ||||
\(823\) | −11.5585 | + | 6.67330i | −0.402904 | + | 0.232617i | −0.687736 | − | 0.725961i | \(-0.741395\pi\) |
0.284832 | + | 0.958577i | \(0.408062\pi\) | |||||||
\(824\) | −10.0418 | + | 2.69068i | −0.349822 | + | 0.0937344i | ||||
\(825\) | −2.78583 | − | 5.17214i | −0.0969903 | − | 0.180071i | ||||
\(826\) | 4.58627 | + | 5.39414i | 0.159577 | + | 0.187686i | ||||
\(827\) | 22.7698 | − | 22.7698i | 0.791784 | − | 0.791784i | −0.190000 | − | 0.981784i | \(-0.560849\pi\) |
0.981784 | + | 0.190000i | \(0.0608489\pi\) | |||||||
\(828\) | −4.32522 | − | 8.63129i | −0.150312 | − | 0.299958i | ||||
\(829\) | 12.3778 | − | 7.14635i | 0.429900 | − | 0.248203i | −0.269404 | − | 0.963027i | \(-0.586827\pi\) |
0.699304 | + | 0.714824i | \(0.253493\pi\) | |||||||
\(830\) | 12.9764 | + | 3.47702i | 0.450418 | + | 0.120689i | ||||
\(831\) | 33.9841 | + | 36.0531i | 1.17890 | + | 1.25067i | ||||
\(832\) | 1.31786 | + | 3.35607i | 0.0456887 | + | 0.116351i | ||||
\(833\) | −13.3462 | + | 5.05496i | −0.462419 | + | 0.175144i | ||||
\(834\) | −0.990295 | − | 1.83857i | −0.0342911 | − | 0.0636644i | ||||
\(835\) | −21.2004 | + | 36.7202i | −0.733671 | + | 1.27076i | ||||
\(836\) | −6.50161 | − | 11.2611i | −0.224863 | − | 0.389474i | ||||
\(837\) | 6.69932 | + | 14.4168i | 0.231562 | + | 0.498316i | ||||
\(838\) | 0.674538 | + | 2.51741i | 0.0233015 | + | 0.0869624i | ||||
\(839\) | −14.2522 | + | 14.2522i | −0.492039 | + | 0.492039i | −0.908948 | − | 0.416909i | \(-0.863113\pi\) |
0.416909 | + | 0.908948i | \(0.363113\pi\) | |||||||
\(840\) | 3.61685 | + | 8.24717i | 0.124793 | + | 0.284555i | ||||
\(841\) | −8.82353 | −0.304260 | ||||||||
\(842\) | −8.38544 | + | 14.5240i | −0.288981 | + | 0.500530i | ||||
\(843\) | −0.935286 | − | 0.577466i | −0.0322130 | − | 0.0198890i | ||||
\(844\) | −18.4336 | + | 10.6426i | −0.634511 | + | 0.366335i | ||||
\(845\) | −13.5839 | + | 21.6361i | −0.467301 | + | 0.744303i | ||||
\(846\) | 1.96629 | + | 1.29575i | 0.0676024 | + | 0.0445487i | ||||
\(847\) | −1.00998 | − | 5.51802i | −0.0347034 | − | 0.189601i | ||||
\(848\) | 4.36087i | 0.149753i | ||||||||
\(849\) | 34.2398 | + | 36.3244i | 1.17511 | + | 1.24665i | ||||
\(850\) | 2.24149 | + | 0.600606i | 0.0768825 | + | 0.0206006i | ||||
\(851\) | −3.38678 | + | 12.6397i | −0.116097 | + | 0.433282i | ||||
\(852\) | −0.553074 | + | 18.7224i | −0.0189480 | + | 0.641418i | ||||
\(853\) | −5.05730 | − | 5.05730i | −0.173159 | − | 0.173159i | 0.615207 | − | 0.788366i | \(-0.289072\pi\) |
−0.788366 | + | 0.615207i | \(0.789072\pi\) | |||||||
\(854\) | −13.0316 | + | 6.18014i | −0.445933 | + | 0.211480i | ||||
\(855\) | −21.4809 | − | 14.1555i | −0.734631 | − | 0.484108i | ||||
\(856\) | −14.3702 | + | 3.85048i | −0.491163 | + | 0.131607i | ||||
\(857\) | 19.7039 | + | 34.1282i | 0.673074 | + | 1.16580i | 0.977028 | + | 0.213112i | \(0.0683598\pi\) |
−0.303954 | + | 0.952687i | \(0.598307\pi\) | |||||||
\(858\) | 10.6065 | + | 15.2909i | 0.362098 | + | 0.522024i | ||||
\(859\) | 4.30239 | − | 7.45195i | 0.146796 | − | 0.254257i | −0.783246 | − | 0.621712i | \(-0.786437\pi\) |
0.930041 | + | 0.367455i | \(0.119771\pi\) | |||||||
\(860\) | 2.67879 | + | 2.67879i | 0.0913460 | + | 0.0913460i | ||||
\(861\) | 46.2903 | − | 7.06702i | 1.57757 | − | 0.240843i | ||||
\(862\) | − | 19.8562i | − | 0.676304i | ||||||
\(863\) | −18.7890 | + | 5.03450i | −0.639585 | + | 0.171376i | −0.564015 | − | 0.825764i | \(-0.690744\pi\) |
−0.0755695 | + | 0.997141i | \(0.524077\pi\) | |||||||
\(864\) | 4.71223 | − | 2.18972i | 0.160313 | − | 0.0744959i | ||||
\(865\) | −3.47211 | + | 12.9581i | −0.118055 | + | 0.440589i | ||||
\(866\) | −2.26456 | − | 8.45143i | −0.0769527 | − | 0.287191i | ||||
\(867\) | 21.3080 | + | 6.38950i | 0.723659 | + | 0.216999i | ||||
\(868\) | −6.66066 | − | 4.59964i | −0.226077 | − | 0.156122i | ||||
\(869\) | −20.6321 | + | 20.6321i | −0.699897 | + | 0.699897i | ||||
\(870\) | −15.2326 | + | 14.3585i | −0.516435 | + | 0.486798i | ||||
\(871\) | 2.43274 | − | 0.274549i | 0.0824301 | − | 0.00930273i | ||||
\(872\) | −9.41591 | + | 5.43628i | −0.318863 | + | 0.184096i | ||||
\(873\) | −9.71972 | + | 29.2456i | −0.328963 | + | 0.989813i | ||||
\(874\) | −14.0428 | −0.475004 | ||||||||
\(875\) | 31.8102 | + | 2.57490i | 1.07538 | + | 0.0870476i | ||||
\(876\) | −18.0210 | + | 9.70651i | −0.608872 | + | 0.327952i | ||||
\(877\) | 11.7179 | + | 43.7318i | 0.395686 | + | 1.47672i | 0.820609 | + | 0.571490i | \(0.193634\pi\) |
−0.424923 | + | 0.905229i | \(0.639699\pi\) | |||||||
\(878\) | 20.0931 | + | 5.38393i | 0.678109 | + | 0.181699i | ||||
\(879\) | −5.46012 | − | 3.37120i | −0.184165 | − | 0.113708i | ||||
\(880\) | −2.92795 | + | 5.07136i | −0.0987013 | + | 0.170956i | ||||
\(881\) | 14.0771 | 0.474270 | 0.237135 | − | 0.971477i | \(-0.423792\pi\) | ||||
0.237135 | + | 0.971477i | \(0.423792\pi\) | |||||||
\(882\) | 11.2401 | + | 17.7387i | 0.378473 | + | 0.597292i | ||||
\(883\) | − | 14.6606i | − | 0.493369i | −0.969096 | − | 0.246684i | \(-0.920659\pi\) | ||
0.969096 | − | 0.246684i | \(-0.0793411\pi\) | |||||||
\(884\) | −7.26901 | − | 1.09428i | −0.244483 | − | 0.0368047i | ||||
\(885\) | 2.09668 | + | 8.86412i | 0.0704793 | + | 0.297964i | ||||
\(886\) | −2.63118 | − | 0.705024i | −0.0883963 | − | 0.0236857i | ||||
\(887\) | −29.8300 | − | 17.2224i | −1.00159 | − | 0.578270i | −0.0928742 | − | 0.995678i | \(-0.529605\pi\) |
−0.908719 | + | 0.417408i | \(0.862939\pi\) | |||||||
\(888\) | −6.74610 | − | 2.02291i | −0.226384 | − | 0.0678844i | ||||
\(889\) | −15.2121 | + | 12.9338i | −0.510197 | + | 0.433785i | ||||
\(890\) | −17.4180 | − | 17.4180i | −0.583852 | − | 0.583852i | ||||
\(891\) | 21.0667 | − | 16.5968i | 0.705761 | − | 0.556012i | ||||
\(892\) | −6.00755 | + | 22.4205i | −0.201148 | + | 0.750693i | ||||
\(893\) | 2.96634 | − | 1.71262i | 0.0992647 | − | 0.0573105i | ||||
\(894\) | −23.5763 | − | 25.0117i | −0.788510 | − | 0.836515i | ||||
\(895\) | 14.7610 | + | 14.7610i | 0.493405 | + | 0.493405i | ||||
\(896\) | −1.50343 | + | 2.17709i | −0.0502260 | + | 0.0727313i | ||||
\(897\) | 20.0282 | − | 1.66311i | 0.668723 | − | 0.0555296i | ||||
\(898\) | 15.8515 | − | 27.4556i | 0.528971 | − | 0.916204i | ||||
\(899\) | 4.86988 | − | 18.1747i | 0.162420 | − | 0.606159i | ||||
\(900\) | 0.201567 | − | 3.40869i | 0.00671888 | − | 0.113623i | ||||
\(901\) | −7.69970 | − | 4.44542i | −0.256514 | − | 0.148098i | ||||
\(902\) | 21.5312 | + | 21.5312i | 0.716911 | + | 0.716911i | ||||
\(903\) | 7.11796 | + | 5.23245i | 0.236871 | + | 0.174125i | ||||
\(904\) | −11.4116 | − | 11.4116i | −0.379543 | − | 0.379543i | ||||
\(905\) | −10.0171 | − | 37.3842i | −0.332979 | − | 1.24269i | ||||
\(906\) | 12.0530 | − | 2.85096i | 0.400433 | − | 0.0947168i | ||||
\(907\) | 32.7408 | − | 18.9029i | 1.08714 | − | 0.627661i | 0.154328 | − | 0.988020i | \(-0.450679\pi\) |
0.932814 | + | 0.360358i | \(0.117346\pi\) | |||||||
\(908\) | 1.11711 | + | 4.16910i | 0.0370725 | + | 0.138356i | ||||
\(909\) | −11.9185 | − | 7.85409i | −0.395313 | − | 0.260504i | ||||
\(910\) | −18.7369 | + | 0.592487i | −0.621122 | + | 0.0196407i | ||||
\(911\) | − | 21.3678i | − | 0.707946i | −0.935256 | − | 0.353973i | \(-0.884831\pi\) | ||
0.935256 | − | 0.353973i | \(-0.115169\pi\) | |||||||
\(912\) | 0.223174 | − | 7.55478i | 0.00739004 | − | 0.250164i | ||||
\(913\) | 10.1856 | + | 17.6420i | 0.337095 | + | 0.583865i | ||||
\(914\) | 9.38465 | + | 16.2547i | 0.310417 | + | 0.537657i | ||||
\(915\) | −18.5467 | − | 0.547884i | −0.613135 | − | 0.0181125i | ||||
\(916\) | 13.5188 | − | 13.5188i | 0.446674 | − | 0.446674i | ||||
\(917\) | 0.288442 | + | 1.57590i | 0.00952520 | + | 0.0520407i | ||||
\(918\) | −0.937347 | + | 10.5522i | −0.0309371 | + | 0.348276i | ||||
\(919\) | 16.8905 | − | 29.2552i | 0.557165 | − | 0.965039i | −0.440566 | − | 0.897720i | \(-0.645222\pi\) |
0.997732 | − | 0.0673187i | \(-0.0214444\pi\) | |||||||
\(920\) | 3.16203 | + | 5.47680i | 0.104249 | + | 0.180565i | ||||
\(921\) | 13.6810 | − | 22.1584i | 0.450806 | − | 0.730143i | ||||
\(922\) | −30.7893 | − | 17.7762i | −1.01399 | − | 0.585429i | ||||
\(923\) | −35.7402 | − | 15.5856i | −1.17640 | − | 0.513007i | ||||
\(924\) | −4.96480 | + | 12.7211i | −0.163330 | + | 0.418492i | ||||
\(925\) | −3.27264 | + | 3.27264i | −0.107604 | + | 0.107604i | ||||
\(926\) | −20.5706 | − | 11.8764i | −0.675991 | − | 0.390284i | ||||
\(927\) | −31.1336 | − | 1.84103i | −1.02256 | − | 0.0604674i | ||||
\(928\) | −5.94052 | − | 1.59176i | −0.195007 | − | 0.0522520i | ||||
\(929\) | 29.4538 | − | 7.89212i | 0.966347 | − | 0.258932i | 0.259062 | − | 0.965861i | \(-0.416587\pi\) |
0.707285 | + | 0.706929i | \(0.249920\pi\) | |||||||
\(930\) | −4.93818 | − | 9.16815i | −0.161929 | − | 0.300636i | ||||
\(931\) | 30.3922 | − | 3.05738i | 0.996064 | − | 0.100201i | ||||
\(932\) | 15.7079i | 0.514530i | ||||||||
\(933\) | 18.0938 | − | 17.0555i | 0.592364 | − | 0.558371i | ||||
\(934\) | −3.33052 | + | 12.4297i | −0.108978 | + | 0.406711i | ||||
\(935\) | −5.96944 | − | 10.3394i | −0.195222 | − | 0.338134i | ||||
\(936\) | 0.576428 | + | 10.8013i | 0.0188411 | + | 0.353051i | ||||
\(937\) | −57.8553 | −1.89005 | −0.945025 | − | 0.326997i | \(-0.893963\pi\) | ||||
−0.945025 | + | 0.326997i | \(0.893963\pi\) | |||||||
\(938\) | 1.16367 | + | 1.36865i | 0.0379950 | + | 0.0446879i | ||||
\(939\) | 21.2712 | + | 6.37847i | 0.694160 | + | 0.208153i | ||||
\(940\) | −1.33587 | − | 0.771265i | −0.0435713 | − | 0.0251559i | ||||
\(941\) | 6.01742 | − | 22.4573i | 0.196162 | − | 0.732088i | −0.795800 | − | 0.605559i | \(-0.792950\pi\) |
0.991963 | − | 0.126529i | \(-0.0403838\pi\) | |||||||
\(942\) | 17.0449 | − | 27.6066i | 0.555352 | − | 0.899471i | ||||
\(943\) | 31.7636 | − | 8.51103i | 1.03437 | − | 0.277157i | ||||
\(944\) | −1.89229 | + | 1.89229i | −0.0615887 | + | 0.0615887i | ||||
\(945\) | 2.49364 | + | 26.9009i | 0.0811182 | + | 0.875087i | ||||
\(946\) | 5.74460i | 0.186773i | ||||||||
\(947\) | 1.45149 | + | 5.41704i | 0.0471671 | + | 0.176030i | 0.985491 | − | 0.169727i | \(-0.0542887\pi\) |
−0.938324 | + | 0.345757i | \(0.887622\pi\) | |||||||
\(948\) | −16.5043 | + | 3.90387i | −0.536036 | + | 0.126792i | ||||
\(949\) | −4.77837 | − | 42.3404i | −0.155112 | − | 1.37443i | ||||
\(950\) | −4.30135 | − | 2.48339i | −0.139554 | − | 0.0805717i | ||||
\(951\) | 26.9542 | + | 50.0427i | 0.874049 | + | 1.62275i | ||||
\(952\) | −2.31136 | − | 4.87380i | −0.0749115 | − | 0.157961i | ||||
\(953\) | 56.2129 | 1.82091 | 0.910457 | − | 0.413605i | \(-0.135730\pi\) | ||||
0.910457 | + | 0.413605i | \(0.135730\pi\) | |||||||
\(954\) | −4.12608 | + | 12.4149i | −0.133587 | + | 0.401948i | ||||
\(955\) | −45.8846 | − | 12.2948i | −1.48479 | − | 0.397849i | ||||
\(956\) | −24.9892 | − | 6.69585i | −0.808210 | − | 0.216559i | ||||
\(957\) | −31.7287 | − | 0.937291i | −1.02564 | − | 0.0302983i | ||||
\(958\) | −21.5509 | −0.696279 | ||||||||
\(959\) | 5.29149 | + | 11.1578i | 0.170871 | + | 0.360304i | ||||
\(960\) | −2.99668 | + | 1.61408i | −0.0967175 | + | 0.0520943i | ||||
\(961\) | −18.7407 | − | 10.8199i | −0.604537 | − | 0.349030i | ||||
\(962\) | 9.13885 | − | 11.4640i | 0.294649 | − | 0.369615i | ||||
\(963\) | −44.5536 | − | 2.63459i | −1.43572 | − | 0.0848986i | ||||
\(964\) | 7.52585 | + | 28.0869i | 0.242391 | + | 0.904617i | ||||
\(965\) | 14.0617i | 0.452662i | ||||||||
\(966\) | 9.21664 | + | 11.5124i | 0.296541 | + | 0.370406i | ||||
\(967\) | −15.9991 | + | 15.9991i | −0.514498 | + | 0.514498i | −0.915901 | − | 0.401403i | \(-0.868523\pi\) |
0.401403 | + | 0.915901i | \(0.368523\pi\) | |||||||
\(968\) | 2.04802 | − | 0.548765i | 0.0658258 | − | 0.0176380i | ||||
\(969\) | 13.1115 | + | 8.09530i | 0.421201 | + | 0.260058i | ||||
\(970\) | 5.22493 | − | 19.4997i | 0.167762 | − | 0.626097i | ||||
\(971\) | −52.6319 | − | 30.3870i | −1.68904 | − | 0.975166i | −0.955256 | − | 0.295780i | \(-0.904421\pi\) |
−0.733781 | − | 0.679386i | \(-0.762246\pi\) | |||||||
\(972\) | 15.4870 | − | 1.77538i | 0.496747 | − | 0.0569453i | ||||
\(973\) | 2.06628 | + | 2.43026i | 0.0662420 | + | 0.0779106i | ||||
\(974\) | 7.00410 | 0.224426 | ||||||||
\(975\) | 6.42883 | + | 3.03246i | 0.205887 | + | 0.0971166i | ||||
\(976\) | −2.72566 | − | 4.72098i | −0.0872461 | − | 0.151115i | ||||
\(977\) | 5.40149 | − | 20.1587i | 0.172809 | − | 0.644932i | −0.824105 | − | 0.566437i | \(-0.808322\pi\) |
0.996914 | − | 0.0784958i | \(-0.0250117\pi\) | |||||||
\(978\) | −5.67030 | − | 6.01551i | −0.181316 | − | 0.192355i | ||||
\(979\) | − | 37.3524i | − | 1.19379i | ||||||
\(980\) | −8.03586 | − | 11.1648i | −0.256696 | − | 0.356646i | ||||
\(981\) | −31.9496 | + | 6.56753i | −1.02007 | + | 0.209685i | ||||
\(982\) | 4.42582 | − | 1.18590i | 0.141234 | − | 0.0378435i | ||||
\(983\) | −32.1403 | − | 8.61197i | −1.02512 | − | 0.274679i | −0.293184 | − | 0.956056i | \(-0.594715\pi\) |
−0.731933 | + | 0.681377i | \(0.761382\pi\) | |||||||
\(984\) | 4.07399 | + | 17.2236i | 0.129874 | + | 0.549067i | ||||
\(985\) | 35.4802 | + | 20.4845i | 1.13049 | + | 0.652691i | ||||
\(986\) | 8.86616 | − | 8.86616i | 0.282356 | − | 0.282356i | ||||
\(987\) | −3.35091 | − | 1.30780i | −0.106661 | − | 0.0416277i | ||||
\(988\) | 14.4218 | + | 6.28905i | 0.458818 | + | 0.200081i | ||||
\(989\) | 5.37270 | + | 3.10193i | 0.170842 | + | 0.0986356i | ||||
\(990\) | −13.1339 | + | 11.6673i | −0.417422 | + | 0.370811i | ||||
\(991\) | 0.657213 | + | 1.13833i | 0.0208771 | + | 0.0361601i | 0.876275 | − | 0.481811i | \(-0.160021\pi\) |
−0.855398 | + | 0.517971i | \(0.826687\pi\) | |||||||
\(992\) | 1.52972 | − | 2.64955i | 0.0485686 | − | 0.0841233i | ||||
\(993\) | −10.0365 | + | 5.40590i | −0.318499 | + | 0.171551i | ||||
\(994\) | −5.15126 | − | 28.1438i | −0.163388 | − | 0.892668i | ||||
\(995\) | −6.22906 | + | 6.22906i | −0.197475 | + | 0.197475i | ||||
\(996\) | −0.349632 | + | 11.8356i | −0.0110785 | + | 0.375024i | ||||
\(997\) | 8.63838 | + | 14.9621i | 0.273580 | + | 0.473855i | 0.969776 | − | 0.243997i | \(-0.0784588\pi\) |
−0.696196 | + | 0.717852i | \(0.745125\pi\) | |||||||
\(998\) | 5.24789 | + | 9.08962i | 0.166119 | + | 0.287727i | ||||
\(999\) | −17.2914 | − | 12.1419i | −0.547076 | − | 0.384152i |
(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 | 546.2.bv.a.317.11 | ✓ | 144 | |
3.2 | odd | 2 | inner | 546.2.bv.a.317.31 | yes | 144 | |
7.4 | even | 3 | inner | 546.2.bv.a.473.31 | yes | 144 | |
13.8 | odd | 4 | inner | 546.2.bv.a.359.11 | yes | 144 | |
21.11 | odd | 6 | inner | 546.2.bv.a.473.11 | yes | 144 | |
39.8 | even | 4 | inner | 546.2.bv.a.359.31 | yes | 144 | |
91.60 | odd | 12 | inner | 546.2.bv.a.515.31 | yes | 144 | |
273.242 | even | 12 | inner | 546.2.bv.a.515.11 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bv.a.317.11 | ✓ | 144 | 1.1 | even | 1 | trivial | |
546.2.bv.a.317.31 | yes | 144 | 3.2 | odd | 2 | inner | |
546.2.bv.a.359.11 | yes | 144 | 13.8 | odd | 4 | inner | |
546.2.bv.a.359.31 | yes | 144 | 39.8 | even | 4 | inner | |
546.2.bv.a.473.11 | yes | 144 | 21.11 | odd | 6 | inner | |
546.2.bv.a.473.31 | yes | 144 | 7.4 | even | 3 | inner | |
546.2.bv.a.515.11 | yes | 144 | 273.242 | even | 12 | inner | |
546.2.bv.a.515.31 | yes | 144 | 91.60 | odd | 12 | inner |