Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(301,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.k (of order \(2\), degree \(1\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | 12.0.180227832610816.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + x^{10} - 8x^{6} + 16x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 301.10 | ||
Root | \(0.806504 + 1.16170i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.301 |
Dual form | 600.2.k.f.301.9 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.806504 | + | 1.16170i | 0.570284 | + | 0.821447i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.699104 | + | 1.87383i | −0.349552 | + | 0.936917i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.16170 | − | 0.806504i | 0.474263 | − | 0.329254i | ||||
\(7\) | 0.746175 | 0.282028 | 0.141014 | − | 0.990008i | \(-0.454964\pi\) | ||||
0.141014 | + | 0.990008i | \(0.454964\pi\) | |||||||
\(8\) | −2.74067 | + | 0.699104i | −0.968972 | + | 0.247170i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.36068i | 1.61630i | 0.588974 | + | 0.808152i | \(0.299532\pi\) | ||||
−0.588974 | + | 0.808152i | \(0.700468\pi\) | |||||||
\(12\) | 1.87383 | + | 0.699104i | 0.540929 | + | 0.201814i | ||||
\(13\) | 2.92520i | 0.811304i | 0.914028 | + | 0.405652i | \(0.132955\pi\) | ||||
−0.914028 | + | 0.405652i | \(0.867045\pi\) | |||||||
\(14\) | 0.601793 | + | 0.866833i | 0.160836 | + | 0.231671i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.02251 | − | 2.62001i | −0.755627 | − | 0.655002i | ||||
\(17\) | 2.13466 | 0.517731 | 0.258866 | − | 0.965913i | \(-0.416651\pi\) | ||||
0.258866 | + | 0.965913i | \(0.416651\pi\) | |||||||
\(18\) | −0.806504 | − | 1.16170i | −0.190095 | − | 0.273816i | ||||
\(19\) | 1.73367i | 0.397730i | 0.980027 | + | 0.198865i | \(0.0637255\pi\) | ||||
−0.980027 | + | 0.198865i | \(0.936274\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 0.746175i | − | 0.162829i | ||||||
\(22\) | −6.22751 | + | 4.32340i | −1.32771 | + | 0.921753i | ||||
\(23\) | 7.49534 | 1.56289 | 0.781443 | − | 0.623977i | \(-0.214484\pi\) | ||||
0.781443 | + | 0.623977i | \(0.214484\pi\) | |||||||
\(24\) | 0.699104 | + | 2.74067i | 0.142704 | + | 0.559436i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.39821 | + | 2.35918i | −0.666443 | + | 0.462674i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.521653 | + | 1.39821i | −0.0985832 | + | 0.264236i | ||||
\(29\) | 6.74916i | 1.25329i | 0.779306 | + | 0.626644i | \(0.215572\pi\) | ||||
−0.779306 | + | 0.626644i | \(0.784428\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.64681 | 0.475381 | 0.237690 | − | 0.971341i | \(-0.423610\pi\) | ||||
0.237690 | + | 0.971341i | \(0.423610\pi\) | |||||||
\(32\) | 0.606006 | − | 5.62430i | 0.107128 | − | 0.994245i | ||||
\(33\) | 5.36068 | 0.933174 | ||||||||
\(34\) | 1.72161 | + | 2.47984i | 0.295254 | + | 0.425289i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.699104 | − | 1.87383i | 0.116517 | − | 0.312306i | ||||
\(37\) | − | 1.07480i | − | 0.176697i | −0.996090 | − | 0.0883483i | \(-0.971841\pi\) | ||
0.996090 | − | 0.0883483i | \(-0.0281588\pi\) | |||||||
\(38\) | −2.01400 | + | 1.39821i | −0.326714 | + | 0.226819i | ||||
\(39\) | 2.92520 | 0.468406 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.2936 | −1.76377 | −0.881883 | − | 0.471468i | \(-0.843724\pi\) | ||||
−0.881883 | + | 0.471468i | \(0.843724\pi\) | |||||||
\(42\) | 0.866833 | − | 0.601793i | 0.133755 | − | 0.0928586i | ||||
\(43\) | − | 7.44322i | − | 1.13508i | −0.823346 | − | 0.567540i | \(-0.807895\pi\) | ||
0.823346 | − | 0.567540i | \(-0.192105\pi\) | |||||||
\(44\) | −10.0450 | − | 3.74767i | −1.51434 | − | 0.564982i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.04502 | + | 8.70735i | 0.891289 | + | 1.28383i | ||||
\(47\) | 1.73367 | 0.252881 | 0.126441 | − | 0.991974i | \(-0.459645\pi\) | ||||
0.126441 | + | 0.991974i | \(0.459645\pi\) | |||||||
\(48\) | −2.62001 | + | 3.02251i | −0.378166 | + | 0.436261i | ||||
\(49\) | −6.44322 | −0.920460 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 2.13466i | − | 0.298912i | ||||||
\(52\) | −5.48133 | − | 2.04502i | −0.760124 | − | 0.283593i | ||||
\(53\) | − | 7.72161i | − | 1.06064i | −0.847796 | − | 0.530322i | \(-0.822071\pi\) | ||
0.847796 | − | 0.530322i | \(-0.177929\pi\) | |||||||
\(54\) | −1.16170 | + | 0.806504i | −0.158088 | + | 0.109751i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.04502 | + | 0.521653i | −0.273277 | + | 0.0697089i | ||||
\(57\) | 1.73367 | 0.229630 | ||||||||
\(58\) | −7.84052 | + | 5.44322i | −1.02951 | + | 0.714730i | ||||
\(59\) | 6.85302i | 0.892188i | 0.894986 | + | 0.446094i | \(0.147185\pi\) | ||||
−0.894986 | + | 0.446094i | \(0.852815\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 6.45203i | − | 0.826098i | −0.910709 | − | 0.413049i | \(-0.864464\pi\) | ||
0.910709 | − | 0.413049i | \(-0.135536\pi\) | |||||||
\(62\) | 2.13466 | + | 3.07480i | 0.271102 | + | 0.390500i | ||||
\(63\) | −0.746175 | −0.0940092 | ||||||||
\(64\) | 7.02251 | − | 3.83202i | 0.877813 | − | 0.479003i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.32340 | + | 6.22751i | 0.532174 | + | 0.766553i | ||||
\(67\) | − | 7.44322i | − | 0.909334i | −0.890661 | − | 0.454667i | \(-0.849758\pi\) | ||
0.890661 | − | 0.454667i | \(-0.150242\pi\) | |||||||
\(68\) | −1.49235 | + | 4.00000i | −0.180974 | + | 0.485071i | ||||
\(69\) | − | 7.49534i | − | 0.902332i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.2936 | 1.57766 | 0.788831 | − | 0.614610i | \(-0.210687\pi\) | ||||
0.788831 | + | 0.614610i | \(0.210687\pi\) | |||||||
\(72\) | 2.74067 | − | 0.699104i | 0.322991 | − | 0.0823902i | ||||
\(73\) | −0.690358 | −0.0808003 | −0.0404002 | − | 0.999184i | \(-0.512863\pi\) | ||||
−0.0404002 | + | 0.999184i | \(0.512863\pi\) | |||||||
\(74\) | 1.24860 | − | 0.866833i | 0.145147 | − | 0.100767i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.24860 | − | 1.21201i | −0.372640 | − | 0.139027i | ||||
\(77\) | 4.00000i | 0.455842i | ||||||||
\(78\) | 2.35918 | + | 3.39821i | 0.267125 | + | 0.384771i | ||||
\(79\) | 2.64681 | 0.297789 | 0.148895 | − | 0.988853i | \(-0.452428\pi\) | ||||
0.148895 | + | 0.988853i | \(0.452428\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −9.10834 | − | 13.1198i | −1.00585 | − | 1.44884i | ||||
\(83\) | 5.85039i | 0.642164i | 0.947051 | + | 0.321082i | \(0.104047\pi\) | ||||
−0.947051 | + | 0.321082i | \(0.895953\pi\) | |||||||
\(84\) | 1.39821 | + | 0.521653i | 0.152557 | + | 0.0569171i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 8.64681 | − | 6.00299i | 0.932409 | − | 0.647319i | ||||
\(87\) | 6.74916 | 0.723586 | ||||||||
\(88\) | −3.74767 | − | 14.6918i | −0.399503 | − | 1.56615i | ||||
\(89\) | 7.59283 | 0.804838 | 0.402419 | − | 0.915456i | \(-0.368169\pi\) | ||||
0.402419 | + | 0.915456i | \(0.368169\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.18271i | 0.228810i | ||||||||
\(92\) | −5.24002 | + | 14.0450i | −0.546310 | + | 1.46429i | ||||
\(93\) | − | 2.64681i | − | 0.274461i | ||||||
\(94\) | 1.39821 | + | 2.01400i | 0.144214 | + | 0.207729i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −5.62430 | − | 0.606006i | −0.574028 | − | 0.0618502i | ||||
\(97\) | −14.1887 | −1.44064 | −0.720321 | − | 0.693641i | \(-0.756006\pi\) | ||||
−0.720321 | + | 0.693641i | \(0.756006\pi\) | |||||||
\(98\) | −5.19648 | − | 7.48511i | −0.524924 | − | 0.756110i | ||||
\(99\) | − | 5.36068i | − | 0.538768i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 7.43952i | − | 0.740260i | −0.928980 | − | 0.370130i | \(-0.879313\pi\) | ||
0.928980 | − | 0.370130i | \(-0.120687\pi\) | |||||||
\(102\) | 2.47984 | − | 1.72161i | 0.245541 | − | 0.170465i | ||||
\(103\) | 7.19820 | 0.709260 | 0.354630 | − | 0.935007i | \(-0.384607\pi\) | ||||
0.354630 | + | 0.935007i | \(0.384607\pi\) | |||||||
\(104\) | −2.04502 | − | 8.01699i | −0.200530 | − | 0.786131i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.97021 | − | 6.22751i | 0.871264 | − | 0.604869i | ||||
\(107\) | − | 4.00000i | − | 0.386695i | −0.981130 | − | 0.193347i | \(-0.938066\pi\) | ||
0.981130 | − | 0.193347i | \(-0.0619344\pi\) | |||||||
\(108\) | −1.87383 | − | 0.699104i | −0.180310 | − | 0.0672713i | ||||
\(109\) | − | 19.9504i | − | 1.91090i | −0.295158 | − | 0.955449i | \(-0.595372\pi\) | ||
0.295158 | − | 0.955449i | \(-0.404628\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.07480 | −0.102016 | ||||||||
\(112\) | −2.25532 | − | 1.95498i | −0.213108 | − | 0.184729i | ||||
\(113\) | 12.0540 | 1.13395 | 0.566973 | − | 0.823736i | \(-0.308114\pi\) | ||||
0.566973 | + | 0.823736i | \(0.308114\pi\) | |||||||
\(114\) | 1.39821 | + | 2.01400i | 0.130954 | + | 0.188629i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −12.6468 | − | 4.71836i | −1.17423 | − | 0.438089i | ||||
\(117\) | − | 2.92520i | − | 0.270435i | ||||||
\(118\) | −7.96117 | + | 5.52699i | −0.732885 | + | 0.508801i | ||||
\(119\) | 1.59283 | 0.146014 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −17.7368 | −1.61244 | ||||||||
\(122\) | 7.49534 | − | 5.20359i | 0.678596 | − | 0.471110i | ||||
\(123\) | 11.2936i | 1.01831i | ||||||||
\(124\) | −1.85039 | + | 4.95968i | −0.166170 | + | 0.445392i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.601793 | − | 0.866833i | −0.0536119 | − | 0.0772236i | ||||
\(127\) | −4.21351 | −0.373888 | −0.186944 | − | 0.982371i | \(-0.559858\pi\) | ||||
−0.186944 | + | 0.982371i | \(0.559858\pi\) | |||||||
\(128\) | 10.1153 | + | 5.06752i | 0.894079 | + | 0.447910i | ||||
\(129\) | −7.44322 | −0.655339 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.3204i | 0.901694i | 0.892601 | + | 0.450847i | \(0.148878\pi\) | ||||
−0.892601 | + | 0.450847i | \(0.851122\pi\) | |||||||
\(132\) | −3.74767 | + | 10.0450i | −0.326193 | + | 0.874306i | ||||
\(133\) | 1.29362i | 0.112171i | ||||||||
\(134\) | 8.64681 | − | 6.00299i | 0.746970 | − | 0.518579i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.85039 | + | 1.49235i | −0.501667 | + | 0.127968i | ||||
\(137\) | 15.0387 | 1.28484 | 0.642422 | − | 0.766351i | \(-0.277930\pi\) | ||||
0.642422 | + | 0.766351i | \(0.277930\pi\) | |||||||
\(138\) | 8.70735 | − | 6.04502i | 0.741219 | − | 0.514586i | ||||
\(139\) | − | 9.47032i | − | 0.803262i | −0.915802 | − | 0.401631i | \(-0.868443\pi\) | ||
0.915802 | − | 0.401631i | \(-0.131557\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | − | 1.73367i | − | 0.146001i | ||||||
\(142\) | 10.7214 | + | 15.4432i | 0.899716 | + | 1.29597i | ||||
\(143\) | −15.6810 | −1.31131 | ||||||||
\(144\) | 3.02251 | + | 2.62001i | 0.251876 | + | 0.218334i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.556777 | − | 0.801991i | −0.0460792 | − | 0.0663732i | ||||
\(147\) | 6.44322i | 0.531428i | ||||||||
\(148\) | 2.01400 | + | 0.751399i | 0.165550 | + | 0.0617646i | ||||
\(149\) | 1.78948i | 0.146600i | 0.997310 | + | 0.0733000i | \(0.0233531\pi\) | ||||
−0.997310 | + | 0.0733000i | \(0.976647\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.6468 | 0.866425 | 0.433212 | − | 0.901292i | \(-0.357380\pi\) | ||||
0.433212 | + | 0.901292i | \(0.357380\pi\) | |||||||
\(152\) | −1.21201 | − | 4.75140i | −0.0983071 | − | 0.385389i | ||||
\(153\) | −2.13466 | −0.172577 | ||||||||
\(154\) | −4.64681 | + | 3.22601i | −0.374451 | + | 0.259960i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.04502 | + | 5.48133i | −0.163732 | + | 0.438858i | ||||
\(157\) | 6.92520i | 0.552691i | 0.961058 | + | 0.276345i | \(0.0891234\pi\) | ||||
−0.961058 | + | 0.276345i | \(0.910877\pi\) | |||||||
\(158\) | 2.13466 | + | 3.07480i | 0.169824 | + | 0.244618i | ||||
\(159\) | −7.72161 | −0.612364 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.59283 | 0.440777 | ||||||||
\(162\) | 0.806504 | + | 1.16170i | 0.0633649 | + | 0.0912719i | ||||
\(163\) | − | 7.70079i | − | 0.603172i | −0.953439 | − | 0.301586i | \(-0.902484\pi\) | ||
0.953439 | − | 0.301586i | \(-0.0975161\pi\) | |||||||
\(164\) | 7.89541 | − | 21.1624i | 0.616528 | − | 1.65250i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.79641 | + | 4.71836i | −0.527504 | + | 0.366216i | ||||
\(167\) | −3.22601 | −0.249637 | −0.124818 | − | 0.992180i | \(-0.539835\pi\) | ||||
−0.124818 | + | 0.992180i | \(0.539835\pi\) | |||||||
\(168\) | 0.521653 | + | 2.04502i | 0.0402464 | + | 0.157776i | ||||
\(169\) | 4.44322 | 0.341786 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 1.73367i | − | 0.132577i | ||||||
\(172\) | 13.9474 | + | 5.20359i | 1.06348 | + | 0.396770i | ||||
\(173\) | 6.42799i | 0.488711i | 0.969686 | + | 0.244356i | \(0.0785764\pi\) | ||||
−0.969686 | + | 0.244356i | \(0.921424\pi\) | |||||||
\(174\) | 5.44322 | + | 7.84052i | 0.412650 | + | 0.594388i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 14.0450 | − | 16.2027i | 1.05868 | − | 1.22132i | ||||
\(177\) | 6.85302 | 0.515105 | ||||||||
\(178\) | 6.12364 | + | 8.82061i | 0.458987 | + | 0.661132i | ||||
\(179\) | 8.13765i | 0.608236i | 0.952634 | + | 0.304118i | \(0.0983618\pi\) | ||||
−0.952634 | + | 0.304118i | \(0.901638\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 1.49235i | − | 0.110925i | −0.998461 | − | 0.0554627i | \(-0.982337\pi\) | ||
0.998461 | − | 0.0554627i | \(-0.0176634\pi\) | |||||||
\(182\) | −2.53566 | + | 1.76036i | −0.187955 | + | 0.130487i | ||||
\(183\) | −6.45203 | −0.476948 | ||||||||
\(184\) | −20.5422 | + | 5.24002i | −1.51439 | + | 0.386299i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3.07480 | − | 2.13466i | 0.225456 | − | 0.156521i | ||||
\(187\) | 11.4432i | 0.836811i | ||||||||
\(188\) | −1.21201 | + | 3.24860i | −0.0883951 | + | 0.236929i | ||||
\(189\) | 0.746175i | 0.0542762i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.88645 | 0.498286 | 0.249143 | − | 0.968467i | \(-0.419851\pi\) | ||||
0.249143 | + | 0.968467i | \(0.419851\pi\) | |||||||
\(192\) | −3.83202 | − | 7.02251i | −0.276552 | − | 0.506806i | ||||
\(193\) | −16.4830 | −1.18647 | −0.593237 | − | 0.805028i | \(-0.702150\pi\) | ||||
−0.593237 | + | 0.805028i | \(0.702150\pi\) | |||||||
\(194\) | −11.4432 | − | 16.4830i | −0.821576 | − | 1.18341i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.50448 | − | 12.0735i | 0.321749 | − | 0.862395i | ||||
\(197\) | − | 13.5720i | − | 0.966965i | −0.875354 | − | 0.483483i | \(-0.839372\pi\) | ||
0.875354 | − | 0.483483i | \(-0.160628\pi\) | |||||||
\(198\) | 6.22751 | − | 4.32340i | 0.442570 | − | 0.307251i | ||||
\(199\) | 9.05398 | 0.641820 | 0.320910 | − | 0.947110i | \(-0.396011\pi\) | ||||
0.320910 | + | 0.947110i | \(0.396011\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.44322 | −0.525005 | ||||||||
\(202\) | 8.64251 | − | 6.00000i | 0.608085 | − | 0.422159i | ||||
\(203\) | 5.03605i | 0.353462i | ||||||||
\(204\) | 4.00000 | + | 1.49235i | 0.280056 | + | 0.104485i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 5.80538 | + | 8.36217i | 0.404480 | + | 0.582620i | ||||
\(207\) | −7.49534 | −0.520962 | ||||||||
\(208\) | 7.66404 | − | 8.84143i | 0.531406 | − | 0.613043i | ||||
\(209\) | −9.29362 | −0.642853 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.53566i | 0.174562i | 0.996184 | + | 0.0872809i | \(0.0278178\pi\) | ||||
−0.996184 | + | 0.0872809i | \(0.972182\pi\) | |||||||
\(212\) | 14.4690 | + | 5.39821i | 0.993736 | + | 0.370750i | ||||
\(213\) | − | 13.2936i | − | 0.910864i | ||||||
\(214\) | 4.64681 | − | 3.22601i | 0.317649 | − | 0.220526i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.699104 | − | 2.74067i | −0.0475680 | − | 0.186479i | ||||
\(217\) | 1.97498 | 0.134070 | ||||||||
\(218\) | 23.1764 | − | 16.0900i | 1.56970 | − | 1.08975i | ||||
\(219\) | 0.690358i | 0.0466501i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.24430i | 0.420037i | ||||||||
\(222\) | −0.866833 | − | 1.24860i | −0.0581780 | − | 0.0838006i | ||||
\(223\) | 12.1579 | 0.814152 | 0.407076 | − | 0.913394i | \(-0.366548\pi\) | ||||
0.407076 | + | 0.913394i | \(0.366548\pi\) | |||||||
\(224\) | 0.452186 | − | 4.19671i | 0.0302130 | − | 0.280405i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.72161 | + | 14.0032i | 0.646672 | + | 0.931478i | ||||
\(227\) | 20.7368i | 1.37635i | 0.725544 | + | 0.688176i | \(0.241588\pi\) | ||||
−0.725544 | + | 0.688176i | \(0.758412\pi\) | |||||||
\(228\) | −1.21201 | + | 3.24860i | −0.0802674 | + | 0.215144i | ||||
\(229\) | 19.9504i | 1.31836i | 0.751987 | + | 0.659178i | \(0.229096\pi\) | ||||
−0.751987 | + | 0.659178i | \(0.770904\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | −4.71836 | − | 18.4972i | −0.309776 | − | 1.21440i | ||||
\(233\) | −13.3386 | −0.873844 | −0.436922 | − | 0.899499i | \(-0.643931\pi\) | ||||
−0.436922 | + | 0.899499i | \(0.643931\pi\) | |||||||
\(234\) | 3.39821 | − | 2.35918i | 0.222148 | − | 0.154225i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −12.8414 | − | 4.79097i | −0.835906 | − | 0.311866i | ||||
\(237\) | − | 2.64681i | − | 0.171929i | ||||||
\(238\) | 1.28462 | + | 1.85039i | 0.0832697 | + | 0.119943i | ||||
\(239\) | 22.8864 | 1.48040 | 0.740201 | − | 0.672386i | \(-0.234731\pi\) | ||||
0.740201 | + | 0.672386i | \(0.234731\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.59283 | 0.231435 | 0.115717 | − | 0.993282i | \(-0.463083\pi\) | ||||
0.115717 | + | 0.993282i | \(0.463083\pi\) | |||||||
\(242\) | −14.3048 | − | 20.6049i | −0.919549 | − | 1.32453i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 12.0900 | + | 4.51064i | 0.773985 | + | 0.288764i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −13.1198 | + | 9.10834i | −0.836489 | + | 0.580727i | ||||
\(247\) | −5.07131 | −0.322680 | ||||||||
\(248\) | −7.25402 | + | 1.85039i | −0.460631 | + | 0.117500i | ||||
\(249\) | 5.85039 | 0.370754 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 8.82801i | − | 0.557219i | −0.960404 | − | 0.278609i | \(-0.910127\pi\) | ||
0.960404 | − | 0.278609i | \(-0.0898735\pi\) | |||||||
\(252\) | 0.521653 | − | 1.39821i | 0.0328611 | − | 0.0880788i | ||||
\(253\) | 40.1801i | 2.52610i | ||||||||
\(254\) | −3.39821 | − | 4.89484i | −0.213222 | − | 0.307129i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.27111 | + | 15.8380i | 0.141944 | + | 0.989875i | ||||
\(257\) | −22.2927 | −1.39058 | −0.695291 | − | 0.718728i | \(-0.744725\pi\) | ||||
−0.695291 | + | 0.718728i | \(0.744725\pi\) | |||||||
\(258\) | −6.00299 | − | 8.64681i | −0.373730 | − | 0.538327i | ||||
\(259\) | − | 0.801991i | − | 0.0498333i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | − | 6.74916i | − | 0.417763i | ||||||
\(262\) | −11.9892 | + | 8.32340i | −0.740694 | + | 0.514222i | ||||
\(263\) | −21.2014 | −1.30733 | −0.653667 | − | 0.756783i | \(-0.726770\pi\) | ||||
−0.653667 | + | 0.756783i | \(0.726770\pi\) | |||||||
\(264\) | −14.6918 | + | 3.74767i | −0.904219 | + | 0.230653i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.50280 | + | 1.04331i | −0.0921424 | + | 0.0639693i | ||||
\(267\) | − | 7.59283i | − | 0.464674i | ||||||
\(268\) | 13.9474 | + | 5.20359i | 0.851971 | + | 0.317860i | ||||
\(269\) | 14.6935i | 0.895881i | 0.894063 | + | 0.447940i | \(0.147842\pi\) | ||||
−0.894063 | + | 0.447940i | \(0.852158\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.2396 | −1.22947 | −0.614735 | − | 0.788734i | \(-0.710737\pi\) | ||||
−0.614735 | + | 0.788734i | \(0.710737\pi\) | |||||||
\(272\) | −6.45203 | − | 5.59283i | −0.391212 | − | 0.339115i | ||||
\(273\) | 2.18271 | 0.132103 | ||||||||
\(274\) | 12.1288 | + | 17.4705i | 0.732727 | + | 1.05543i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 14.0450 | + | 5.24002i | 0.845411 | + | 0.315412i | ||||
\(277\) | 0.518027i | 0.0311252i | 0.999879 | + | 0.0155626i | \(0.00495393\pi\) | ||||
−0.999879 | + | 0.0155626i | \(0.995046\pi\) | |||||||
\(278\) | 11.0017 | − | 7.63785i | 0.659837 | − | 0.458088i | ||||
\(279\) | −2.64681 | −0.158460 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 13.7008 | 0.817320 | 0.408660 | − | 0.912687i | \(-0.365996\pi\) | ||||
0.408660 | + | 0.912687i | \(0.365996\pi\) | |||||||
\(282\) | 2.01400 | − | 1.39821i | 0.119932 | − | 0.0832620i | ||||
\(283\) | − | 18.0305i | − | 1.07180i | −0.844282 | − | 0.535900i | \(-0.819973\pi\) | ||
0.844282 | − | 0.535900i | \(-0.180027\pi\) | |||||||
\(284\) | −9.29362 | + | 24.9100i | −0.551475 | + | 1.47814i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −12.6468 | − | 18.2167i | −0.747821 | − | 1.07718i | ||||
\(287\) | −8.42701 | −0.497431 | ||||||||
\(288\) | −0.606006 | + | 5.62430i | −0.0357092 | + | 0.331415i | ||||
\(289\) | −12.4432 | −0.731954 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.1887i | 0.831755i | ||||||||
\(292\) | 0.482632 | − | 1.29362i | 0.0282439 | − | 0.0757032i | ||||
\(293\) | − | 15.9792i | − | 0.933513i | −0.884386 | − | 0.466757i | \(-0.845422\pi\) | ||
0.884386 | − | 0.466757i | \(-0.154578\pi\) | |||||||
\(294\) | −7.48511 | + | 5.19648i | −0.436540 | + | 0.303065i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.751399 | + | 2.94568i | 0.0436742 | + | 0.171214i | ||||
\(297\) | −5.36068 | −0.311058 | ||||||||
\(298\) | −2.07884 | + | 1.44322i | −0.120424 | + | 0.0836037i | ||||
\(299\) | 21.9253i | 1.26797i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 5.55394i | − | 0.320124i | ||||||
\(302\) | 8.58669 | + | 12.3684i | 0.494108 | + | 0.711723i | ||||
\(303\) | −7.43952 | −0.427389 | ||||||||
\(304\) | 4.54222 | − | 5.24002i | 0.260514 | − | 0.300536i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.72161 | − | 2.47984i | −0.0984180 | − | 0.141763i | ||||
\(307\) | − | 22.5872i | − | 1.28912i | −0.764553 | − | 0.644561i | \(-0.777040\pi\) | ||
0.764553 | − | 0.644561i | \(-0.222960\pi\) | |||||||
\(308\) | −7.49534 | − | 2.79641i | −0.427086 | − | 0.159341i | ||||
\(309\) | − | 7.19820i | − | 0.409492i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.5872 | −1.05399 | −0.526993 | − | 0.849870i | \(-0.676680\pi\) | ||||
−0.526993 | + | 0.849870i | \(0.676680\pi\) | |||||||
\(312\) | −8.01699 | + | 2.04502i | −0.453873 | + | 0.115776i | ||||
\(313\) | −29.3871 | −1.66106 | −0.830528 | − | 0.556977i | \(-0.811961\pi\) | ||||
−0.830528 | + | 0.556977i | \(0.811961\pi\) | |||||||
\(314\) | −8.04502 | + | 5.58520i | −0.454007 | + | 0.315191i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.85039 | + | 4.95968i | −0.104093 | + | 0.279004i | ||||
\(317\) | − | 5.57201i | − | 0.312955i | −0.987682 | − | 0.156478i | \(-0.949986\pi\) | ||
0.987682 | − | 0.156478i | \(-0.0500139\pi\) | |||||||
\(318\) | −6.22751 | − | 8.97021i | −0.349221 | − | 0.503025i | ||||
\(319\) | −36.1801 | −2.02569 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | 4.51064 | + | 6.49720i | 0.251368 | + | 0.362075i | ||||
\(323\) | 3.70079i | 0.205917i | ||||||||
\(324\) | −0.699104 | + | 1.87383i | −0.0388391 | + | 0.104102i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.94602 | − | 6.21071i | 0.495474 | − | 0.343980i | ||||
\(327\) | −19.9504 | −1.10326 | ||||||||
\(328\) | 30.9520 | − | 7.89541i | 1.70904 | − | 0.435951i | ||||
\(329\) | 1.29362 | 0.0713194 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.7396i | 0.755199i | 0.925969 | + | 0.377599i | \(0.123250\pi\) | ||||
−0.925969 | + | 0.377599i | \(0.876750\pi\) | |||||||
\(332\) | −10.9627 | − | 4.09003i | −0.601655 | − | 0.224470i | ||||
\(333\) | 1.07480i | 0.0588989i | ||||||||
\(334\) | −2.60179 | − | 3.74767i | −0.142364 | − | 0.205063i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.95498 | + | 2.25532i | −0.106653 | + | 0.123038i | ||||
\(337\) | 20.7523 | 1.13045 | 0.565226 | − | 0.824936i | \(-0.308789\pi\) | ||||
0.565226 | + | 0.824936i | \(0.308789\pi\) | |||||||
\(338\) | 3.58348 | + | 5.16170i | 0.194915 | + | 0.280760i | ||||
\(339\) | − | 12.0540i | − | 0.654685i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 14.1887i | 0.768360i | ||||||||
\(342\) | 2.01400 | − | 1.39821i | 0.108905 | − | 0.0756064i | ||||
\(343\) | −10.0310 | −0.541623 | ||||||||
\(344\) | 5.20359 | + | 20.3994i | 0.280559 | + | 1.09986i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −7.46742 | + | 5.18420i | −0.401451 | + | 0.278704i | ||||
\(347\) | − | 4.73684i | − | 0.254287i | −0.991884 | − | 0.127143i | \(-0.959419\pi\) | ||
0.991884 | − | 0.127143i | \(-0.0405809\pi\) | |||||||
\(348\) | −4.71836 | + | 12.6468i | −0.252931 | + | 0.677940i | ||||
\(349\) | 0.482632i | 0.0258347i | 0.999917 | + | 0.0129174i | \(0.00411184\pi\) | ||||
−0.999917 | + | 0.0129174i | \(0.995888\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.92520 | −0.156135 | ||||||||
\(352\) | 30.1500 | + | 3.24860i | 1.60700 | + | 0.173151i | ||||
\(353\) | −2.13466 | −0.113617 | −0.0568083 | − | 0.998385i | \(-0.518092\pi\) | ||||
−0.0568083 | + | 0.998385i | \(0.518092\pi\) | |||||||
\(354\) | 5.52699 | + | 7.96117i | 0.293756 | + | 0.423132i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −5.30818 | + | 14.2277i | −0.281333 | + | 0.754067i | ||||
\(357\) | − | 1.59283i | − | 0.0843015i | ||||||
\(358\) | −9.45352 | + | 6.56304i | −0.499634 | + | 0.346868i | ||||
\(359\) | −9.59283 | −0.506290 | −0.253145 | − | 0.967428i | \(-0.581465\pi\) | ||||
−0.253145 | + | 0.967428i | \(0.581465\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.9944 | 0.841811 | ||||||||
\(362\) | 1.73367 | − | 1.20359i | 0.0911194 | − | 0.0632590i | ||||
\(363\) | 17.7368i | 0.930943i | ||||||||
\(364\) | −4.09003 | − | 1.52594i | −0.214376 | − | 0.0799809i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −5.20359 | − | 7.49534i | −0.271996 | − | 0.391787i | ||||
\(367\) | 34.0832 | 1.77913 | 0.889565 | − | 0.456809i | \(-0.151008\pi\) | ||||
0.889565 | + | 0.456809i | \(0.151008\pi\) | |||||||
\(368\) | −22.6547 | − | 19.6378i | −1.18096 | − | 1.02369i | ||||
\(369\) | 11.2936 | 0.587922 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 5.76167i | − | 0.299131i | ||||||
\(372\) | 4.95968 | + | 1.85039i | 0.257147 | + | 0.0959384i | ||||
\(373\) | − | 4.33796i | − | 0.224611i | −0.993674 | − | 0.112306i | \(-0.964176\pi\) | ||
0.993674 | − | 0.112306i | \(-0.0358236\pi\) | |||||||
\(374\) | −13.2936 | + | 9.22900i | −0.687397 | + | 0.477220i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.75140 | + | 1.21201i | −0.245035 | + | 0.0625047i | ||||
\(377\) | −19.7426 | −1.01680 | ||||||||
\(378\) | −0.866833 | + | 0.601793i | −0.0445851 | + | 0.0309529i | ||||
\(379\) | − | 6.90107i | − | 0.354484i | −0.984167 | − | 0.177242i | \(-0.943282\pi\) | ||
0.984167 | − | 0.177242i | \(-0.0567176\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.21351i | 0.215864i | ||||||||
\(382\) | 5.55394 | + | 8.00000i | 0.284165 | + | 0.409316i | ||||
\(383\) | 22.3744 | 1.14328 | 0.571639 | − | 0.820506i | \(-0.306308\pi\) | ||||
0.571639 | + | 0.820506i | \(0.306308\pi\) | |||||||
\(384\) | 5.06752 | − | 10.1153i | 0.258601 | − | 0.516197i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −13.2936 | − | 19.1484i | −0.676627 | − | 0.974626i | ||||
\(387\) | 7.44322i | 0.378360i | ||||||||
\(388\) | 9.91936 | − | 26.5872i | 0.503579 | − | 1.34976i | ||||
\(389\) | − | 11.0185i | − | 0.558659i | −0.960195 | − | 0.279330i | \(-0.909888\pi\) | ||
0.960195 | − | 0.279330i | \(-0.0901122\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | 17.6587 | − | 4.50448i | 0.891900 | − | 0.227511i | ||||
\(393\) | 10.3204 | 0.520593 | ||||||||
\(394\) | 15.7666 | − | 10.9459i | 0.794311 | − | 0.551445i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 10.0450 | + | 3.74767i | 0.504781 | + | 0.188327i | ||||
\(397\) | 25.2549i | 1.26751i | 0.773536 | + | 0.633753i | \(0.218486\pi\) | ||||
−0.773536 | + | 0.633753i | \(0.781514\pi\) | |||||||
\(398\) | 7.30207 | + | 10.5180i | 0.366020 | + | 0.527221i | ||||
\(399\) | 1.29362 | 0.0647619 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.29362 | 0.364226 | 0.182113 | − | 0.983278i | \(-0.441706\pi\) | ||||
0.182113 | + | 0.983278i | \(0.441706\pi\) | |||||||
\(402\) | −6.00299 | − | 8.64681i | −0.299402 | − | 0.431264i | ||||
\(403\) | 7.74244i | 0.385678i | ||||||||
\(404\) | 13.9404 | + | 5.20100i | 0.693562 | + | 0.258759i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5.85039 | + | 4.06160i | −0.290350 | + | 0.201574i | ||||
\(407\) | 5.76167 | 0.285595 | ||||||||
\(408\) | 1.49235 | + | 5.85039i | 0.0738823 | + | 0.289638i | ||||
\(409\) | 15.8504 | 0.783752 | 0.391876 | − | 0.920018i | \(-0.371826\pi\) | ||||
0.391876 | + | 0.920018i | \(0.371826\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 15.0387i | − | 0.741805i | ||||||
\(412\) | −5.03229 | + | 13.4882i | −0.247923 | + | 0.664518i | ||||
\(413\) | 5.11355i | 0.251622i | ||||||||
\(414\) | −6.04502 | − | 8.70735i | −0.297096 | − | 0.427943i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 16.4522 | + | 1.77269i | 0.806635 | + | 0.0869131i | ||||
\(417\) | −9.47032 | −0.463763 | ||||||||
\(418\) | −7.49534 | − | 10.7964i | −0.366609 | − | 0.528070i | ||||
\(419\) | − | 8.02602i | − | 0.392097i | −0.980594 | − | 0.196048i | \(-0.937189\pi\) | ||
0.980594 | − | 0.196048i | \(-0.0628109\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.9351i | 1.11779i | 0.829240 | + | 0.558893i | \(0.188774\pi\) | ||||
−0.829240 | + | 0.558893i | \(0.811226\pi\) | |||||||
\(422\) | −2.94568 | + | 2.04502i | −0.143393 | + | 0.0995498i | ||||
\(423\) | −1.73367 | −0.0842937 | ||||||||
\(424\) | 5.39821 | + | 21.1624i | 0.262160 | + | 1.02774i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 15.4432 | − | 10.7214i | 0.748227 | − | 0.519451i | ||||
\(427\) | − | 4.81434i | − | 0.232982i | ||||||
\(428\) | 7.49534 | + | 2.79641i | 0.362301 | + | 0.135170i | ||||
\(429\) | 15.6810i | 0.757087i | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −35.0665 | −1.68909 | −0.844547 | − | 0.535481i | \(-0.820130\pi\) | ||||
−0.844547 | + | 0.535481i | \(0.820130\pi\) | |||||||
\(432\) | 2.62001 | − | 3.02251i | 0.126055 | − | 0.145420i | ||||
\(433\) | 17.0773 | 0.820682 | 0.410341 | − | 0.911932i | \(-0.365410\pi\) | ||||
0.410341 | + | 0.911932i | \(0.365410\pi\) | |||||||
\(434\) | 1.59283 | + | 2.29434i | 0.0764583 | + | 0.110132i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 37.3836 | + | 13.9474i | 1.79035 | + | 0.667958i | ||||
\(437\) | 12.9944i | 0.621607i | ||||||||
\(438\) | −0.801991 | + | 0.556777i | −0.0383206 | + | 0.0266038i | ||||
\(439\) | 8.53885 | 0.407537 | 0.203769 | − | 0.979019i | \(-0.434681\pi\) | ||||
0.203769 | + | 0.979019i | \(0.434681\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.44322 | 0.306820 | ||||||||
\(442\) | −7.25402 | + | 5.03605i | −0.345039 | + | 0.239541i | ||||
\(443\) | 20.7368i | 0.985237i | 0.870245 | + | 0.492619i | \(0.163960\pi\) | ||||
−0.870245 | + | 0.492619i | \(0.836040\pi\) | |||||||
\(444\) | 0.751399 | − | 2.01400i | 0.0356598 | − | 0.0955803i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 9.80538 | + | 14.1238i | 0.464298 | + | 0.668783i | ||||
\(447\) | 1.78948 | 0.0846396 | ||||||||
\(448\) | 5.24002 | − | 2.85936i | 0.247568 | − | 0.135092i | ||||
\(449\) | −2.00000 | −0.0943858 | −0.0471929 | − | 0.998886i | \(-0.515028\pi\) | ||||
−0.0471929 | + | 0.998886i | \(0.515028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 60.5414i | − | 2.85078i | ||||||
\(452\) | −8.42701 | + | 22.5872i | −0.396373 | + | 1.06241i | ||||
\(453\) | − | 10.6468i | − | 0.500231i | ||||||
\(454\) | −24.0900 | + | 16.7243i | −1.13060 | + | 0.784912i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.75140 | + | 1.21201i | −0.222505 | + | 0.0567577i | ||||
\(457\) | 1.28462 | 0.0600921 | 0.0300461 | − | 0.999549i | \(-0.490435\pi\) | ||||
0.0300461 | + | 0.999549i | \(0.490435\pi\) | |||||||
\(458\) | −23.1764 | + | 16.0900i | −1.08296 | + | 0.751838i | ||||
\(459\) | 2.13466i | 0.0996374i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 15.7033i | 0.731374i | 0.930738 | + | 0.365687i | \(0.119166\pi\) | ||||
−0.930738 | + | 0.365687i | \(0.880834\pi\) | |||||||
\(462\) | 3.22601 | + | 4.64681i | 0.150088 | + | 0.216189i | ||||
\(463\) | 18.7215 | 0.870064 | 0.435032 | − | 0.900415i | \(-0.356737\pi\) | ||||
0.435032 | + | 0.900415i | \(0.356737\pi\) | |||||||
\(464\) | 17.6829 | − | 20.3994i | 0.820906 | − | 0.947018i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.7577 | − | 15.4955i | −0.498339 | − | 0.717817i | ||||
\(467\) | − | 2.14961i | − | 0.0994719i | −0.998762 | − | 0.0497360i | \(-0.984162\pi\) | ||
0.998762 | − | 0.0497360i | \(-0.0158380\pi\) | |||||||
\(468\) | 5.48133 | + | 2.04502i | 0.253375 | + | 0.0945309i | ||||
\(469\) | − | 5.55394i | − | 0.256457i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 6.92520 | 0.319096 | ||||||||
\(472\) | −4.79097 | − | 18.7819i | −0.220522 | − | 0.864505i | ||||
\(473\) | 39.9007 | 1.83464 | ||||||||
\(474\) | 3.07480 | − | 2.13466i | 0.141230 | − | 0.0980482i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −1.11355 | + | 2.98470i | −0.0510396 | + | 0.136803i | ||||
\(477\) | 7.72161i | 0.353548i | ||||||||
\(478\) | 18.4580 | + | 26.5872i | 0.844249 | + | 1.21607i | ||||
\(479\) | −12.1801 | −0.556521 | −0.278261 | − | 0.960506i | \(-0.589758\pi\) | ||||
−0.278261 | + | 0.960506i | \(0.589758\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.14401 | 0.143355 | ||||||||
\(482\) | 2.89763 | + | 4.17380i | 0.131983 | + | 0.190111i | ||||
\(483\) | − | 5.59283i | − | 0.254483i | ||||||
\(484\) | 12.3999 | − | 33.2359i | 0.563631 | − | 1.51072i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.16170 | − | 0.806504i | 0.0526959 | − | 0.0365837i | ||||
\(487\) | 25.7678 | 1.16765 | 0.583826 | − | 0.811879i | \(-0.301555\pi\) | ||||
0.583826 | + | 0.811879i | \(0.301555\pi\) | |||||||
\(488\) | 4.51064 | + | 17.6829i | 0.204187 | + | 0.800466i | ||||
\(489\) | −7.70079 | −0.348242 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 16.7724i | − | 0.756927i | −0.925616 | − | 0.378464i | \(-0.876453\pi\) | ||
0.925616 | − | 0.378464i | \(-0.123547\pi\) | |||||||
\(492\) | −21.1624 | − | 7.89541i | −0.954073 | − | 0.355953i | ||||
\(493\) | 14.4072i | 0.648866i | ||||||||
\(494\) | −4.09003 | − | 5.89135i | −0.184019 | − | 0.265065i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | − | 6.93466i | −0.359211 | − | 0.311375i | ||||
\(497\) | 9.91936 | 0.444944 | ||||||||
\(498\) | 4.71836 | + | 6.79641i | 0.211435 | + | 0.304555i | ||||
\(499\) | 17.6224i | 0.788888i | 0.918920 | + | 0.394444i | \(0.129063\pi\) | ||||
−0.918920 | + | 0.394444i | \(0.870937\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.22601i | 0.144128i | ||||||||
\(502\) | 10.2555 | − | 7.11982i | 0.457726 | − | 0.317773i | ||||
\(503\) | −27.1263 | −1.20950 | −0.604752 | − | 0.796414i | \(-0.706728\pi\) | ||||
−0.604752 | + | 0.796414i | \(0.706728\pi\) | |||||||
\(504\) | 2.04502 | − | 0.521653i | 0.0910923 | − | 0.0232363i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −46.6773 | + | 32.4054i | −2.07506 | + | 1.44059i | ||||
\(507\) | − | 4.44322i | − | 0.197330i | ||||||
\(508\) | 2.94568 | − | 7.89541i | 0.130693 | − | 0.350302i | ||||
\(509\) | − | 15.9782i | − | 0.708220i | −0.935204 | − | 0.354110i | \(-0.884784\pi\) | ||
0.935204 | − | 0.354110i | \(-0.115216\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.515128 | −0.0227879 | ||||||||
\(512\) | −16.5674 | + | 15.4118i | −0.732181 | + | 0.681110i | ||||
\(513\) | −1.73367 | −0.0765432 | ||||||||
\(514\) | −17.9792 | − | 25.8975i | −0.793027 | − | 1.14229i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 5.20359 | − | 13.9474i | 0.229075 | − | 0.613999i | ||||
\(517\) | 9.29362i | 0.408733i | ||||||||
\(518\) | 0.931674 | − | 0.646809i | 0.0409354 | − | 0.0284191i | ||||
\(519\) | 6.42799 | 0.282158 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.886447 | 0.0388359 | 0.0194180 | − | 0.999811i | \(-0.493819\pi\) | ||||
0.0194180 | + | 0.999811i | \(0.493819\pi\) | |||||||
\(522\) | 7.84052 | − | 5.44322i | 0.343170 | − | 0.238243i | ||||
\(523\) | − | 41.7729i | − | 1.82660i | −0.407286 | − | 0.913301i | \(-0.633525\pi\) | ||
0.407286 | − | 0.913301i | \(-0.366475\pi\) | |||||||
\(524\) | −19.3386 | − | 7.21500i | −0.844812 | − | 0.315189i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.0990 | − | 24.6297i | −0.745552 | − | 1.07391i | ||||
\(527\) | 5.65004 | 0.246120 | ||||||||
\(528\) | −16.2027 | − | 14.0450i | −0.705131 | − | 0.611231i | ||||
\(529\) | 33.1801 | 1.44261 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 6.85302i | − | 0.297396i | ||||||
\(532\) | −2.42402 | − | 0.904373i | −0.105095 | − | 0.0392095i | ||||
\(533\) | − | 33.0361i | − | 1.43095i | ||||||
\(534\) | 8.82061 | − | 6.12364i | 0.381705 | − | 0.264996i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.20359 | + | 20.3994i | 0.224761 | + | 0.881120i | ||||
\(537\) | 8.13765 | 0.351165 | ||||||||
\(538\) | −17.0695 | + | 11.8504i | −0.735919 | + | 0.510907i | ||||
\(539\) | − | 34.5400i | − | 1.48774i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 4.47705i | − | 0.192483i | −0.995358 | − | 0.0962417i | \(-0.969318\pi\) | ||
0.995358 | − | 0.0962417i | \(-0.0306822\pi\) | |||||||
\(542\) | −16.3233 | − | 23.5124i | −0.701148 | − | 1.00995i | ||||
\(543\) | −1.49235 | −0.0640428 | ||||||||
\(544\) | 1.29362 | − | 12.0060i | 0.0554634 | − | 0.514752i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.76036 | + | 2.53566i | 0.0753365 | + | 0.108516i | ||||
\(547\) | − | 14.3297i | − | 0.612692i | −0.951920 | − | 0.306346i | \(-0.900893\pi\) | ||
0.951920 | − | 0.306346i | \(-0.0991065\pi\) | |||||||
\(548\) | −10.5136 | + | 28.1801i | −0.449120 | + | 1.20379i | ||||
\(549\) | 6.45203i | 0.275366i | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.7008 | −0.498470 | ||||||||
\(552\) | 5.24002 | + | 20.5422i | 0.223030 | + | 0.874335i | ||||
\(553\) | 1.97498 | 0.0839848 | ||||||||
\(554\) | −0.601793 | + | 0.417790i | −0.0255677 | + | 0.0177502i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.7458 | + | 6.62073i | 0.752590 | + | 0.280782i | ||||
\(557\) | 2.68556i | 0.113791i | 0.998380 | + | 0.0568954i | \(0.0181201\pi\) | ||||
−0.998380 | + | 0.0568954i | \(0.981880\pi\) | |||||||
\(558\) | −2.13466 | − | 3.07480i | −0.0903674 | − | 0.130167i | ||||
\(559\) | 21.7729 | 0.920895 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 11.4432 | 0.483133 | ||||||||
\(562\) | 11.0497 | + | 15.9162i | 0.466105 | + | 0.671386i | ||||
\(563\) | − | 20.7368i | − | 0.873954i | −0.899473 | − | 0.436977i | \(-0.856049\pi\) | ||
0.899473 | − | 0.436977i | \(-0.143951\pi\) | |||||||
\(564\) | 3.24860 | + | 1.21201i | 0.136791 | + | 0.0510349i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 20.9460 | − | 14.5416i | 0.880427 | − | 0.611230i | ||||
\(567\) | 0.746175 | 0.0313364 | ||||||||
\(568\) | −36.4334 | + | 9.29362i | −1.52871 | + | 0.389952i | ||||
\(569\) | 4.40717 | 0.184758 | 0.0923791 | − | 0.995724i | \(-0.470553\pi\) | ||||
0.0923791 | + | 0.995724i | \(0.470553\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23.6590i | 0.990098i | 0.868865 | + | 0.495049i | \(0.164850\pi\) | ||||
−0.868865 | + | 0.495049i | \(0.835150\pi\) | |||||||
\(572\) | 10.9627 | − | 29.3836i | 0.458372 | − | 1.22859i | ||||
\(573\) | − | 6.88645i | − | 0.287685i | ||||||
\(574\) | −6.79641 | − | 9.78968i | −0.283677 | − | 0.408613i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −7.02251 | + | 3.83202i | −0.292604 | + | 0.159668i | ||||
\(577\) | −6.56366 | −0.273249 | −0.136624 | − | 0.990623i | \(-0.543625\pi\) | ||||
−0.136624 | + | 0.990623i | \(0.543625\pi\) | |||||||
\(578\) | −10.0355 | − | 14.4553i | −0.417422 | − | 0.601262i | ||||
\(579\) | 16.4830i | 0.685011i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.36542i | 0.181108i | ||||||||
\(582\) | −16.4830 | + | 11.4432i | −0.683243 | + | 0.474337i | ||||
\(583\) | 41.3931 | 1.71433 | ||||||||
\(584\) | 1.89204 | − | 0.482632i | 0.0782933 | − | 0.0199715i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 18.5630 | − | 12.8873i | 0.766832 | − | 0.532368i | ||||
\(587\) | − | 16.2992i | − | 0.672741i | −0.941730 | − | 0.336370i | \(-0.890801\pi\) | ||
0.941730 | − | 0.336370i | \(-0.109199\pi\) | |||||||
\(588\) | −12.0735 | − | 4.50448i | −0.497904 | − | 0.185762i | ||||
\(589\) | 4.58868i | 0.189073i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −13.5720 | −0.558278 | ||||||||
\(592\) | −2.81599 | + | 3.24860i | −0.115737 | + | 0.133517i | ||||
\(593\) | −16.3233 | −0.670319 | −0.335160 | − | 0.942161i | \(-0.608790\pi\) | ||||
−0.335160 | + | 0.942161i | \(0.608790\pi\) | |||||||
\(594\) | −4.32340 | − | 6.22751i | −0.177391 | − | 0.255518i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.35319 | − | 1.25103i | −0.137352 | − | 0.0512443i | ||||
\(597\) | − | 9.05398i | − | 0.370555i | ||||||
\(598\) | −25.4707 | + | 17.6829i | −1.04157 | + | 0.723106i | ||||
\(599\) | −25.5928 | −1.04569 | −0.522847 | − | 0.852426i | \(-0.675130\pi\) | ||||
−0.522847 | + | 0.852426i | \(0.675130\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.9225 | 1.22056 | 0.610282 | − | 0.792184i | \(-0.291056\pi\) | ||||
0.610282 | + | 0.792184i | \(0.291056\pi\) | |||||||
\(602\) | 6.45203 | − | 4.47928i | 0.262965 | − | 0.182562i | ||||
\(603\) | 7.44322i | 0.303111i | ||||||||
\(604\) | −7.44322 | + | 19.9504i | −0.302860 | + | 0.811768i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.00000 | − | 8.64251i | −0.243733 | − | 0.351078i | ||||
\(607\) | −20.6965 | −0.840046 | −0.420023 | − | 0.907513i | \(-0.637978\pi\) | ||||
−0.420023 | + | 0.907513i | \(0.637978\pi\) | |||||||
\(608\) | 9.75065 | + | 1.05061i | 0.395441 | + | 0.0426079i | ||||
\(609\) | 5.03605 | 0.204071 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.07131i | 0.205163i | ||||||||
\(612\) | 1.49235 | − | 4.00000i | 0.0603246 | − | 0.161690i | ||||
\(613\) | − | 22.6676i | − | 0.915537i | −0.889071 | − | 0.457769i | \(-0.848649\pi\) | ||
0.889071 | − | 0.457769i | \(-0.151351\pi\) | |||||||
\(614\) | 26.2396 | − | 18.2167i | 1.05895 | − | 0.735166i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.79641 | − | 10.9627i | −0.112671 | − | 0.441698i | ||||
\(617\) | 22.1966 | 0.893603 | 0.446802 | − | 0.894633i | \(-0.352563\pi\) | ||||
0.446802 | + | 0.894633i | \(0.352563\pi\) | |||||||
\(618\) | 8.36217 | − | 5.80538i | 0.336376 | − | 0.233527i | ||||
\(619\) | − | 16.8204i | − | 0.676070i | −0.941133 | − | 0.338035i | \(-0.890238\pi\) | ||
0.941133 | − | 0.338035i | \(-0.109762\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.49534i | 0.300777i | ||||||||
\(622\) | −14.9907 | − | 21.5928i | −0.601071 | − | 0.865794i | ||||
\(623\) | 5.66558 | 0.226987 | ||||||||
\(624\) | −8.84143 | − | 7.66404i | −0.353940 | − | 0.306807i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −23.7008 | − | 34.1390i | −0.947274 | − | 1.36447i | ||||
\(627\) | 9.29362i | 0.371151i | ||||||||
\(628\) | −12.9767 | − | 4.84143i | −0.517825 | − | 0.193194i | ||||
\(629\) | − | 2.29434i | − | 0.0914813i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −44.1205 | −1.75641 | −0.878204 | − | 0.478285i | \(-0.841258\pi\) | ||||
−0.878204 | + | 0.478285i | \(0.841258\pi\) | |||||||
\(632\) | −7.25402 | + | 1.85039i | −0.288549 | + | 0.0736047i | ||||
\(633\) | 2.53566 | 0.100783 | ||||||||
\(634\) | 6.47301 | − | 4.49384i | 0.257076 | − | 0.178473i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 5.39821 | − | 14.4690i | 0.214053 | − | 0.573734i | ||||
\(637\) | − | 18.8477i | − | 0.746773i | ||||||
\(638\) | −29.1794 | − | 42.0305i | −1.15522 | − | 1.66400i | ||||
\(639\) | −13.2936 | −0.525887 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.18566 | −0.0468307 | −0.0234154 | − | 0.999726i | \(-0.507454\pi\) | ||||
−0.0234154 | + | 0.999726i | \(0.507454\pi\) | |||||||
\(642\) | −3.22601 | − | 4.64681i | −0.127321 | − | 0.183395i | ||||
\(643\) | 22.5872i | 0.890754i | 0.895343 | + | 0.445377i | \(0.146930\pi\) | ||||
−0.895343 | + | 0.445377i | \(0.853070\pi\) | |||||||
\(644\) | −3.90997 | + | 10.4800i | −0.154074 | + | 0.412971i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.29921 | + | 2.98470i | −0.169150 | + | 0.117431i | ||||
\(647\) | −19.7090 | −0.774842 | −0.387421 | − | 0.921903i | \(-0.626634\pi\) | ||||
−0.387421 | + | 0.921903i | \(0.626634\pi\) | |||||||
\(648\) | −2.74067 | + | 0.699104i | −0.107664 | + | 0.0274634i | ||||
\(649\) | −36.7368 | −1.44205 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | − | 1.97498i | − | 0.0774056i | ||||||
\(652\) | 14.4300 | + | 5.38365i | 0.565122 | + | 0.210840i | ||||
\(653\) | 44.4585i | 1.73979i | 0.493234 | + | 0.869897i | \(0.335815\pi\) | ||||
−0.493234 | + | 0.869897i | \(0.664185\pi\) | |||||||
\(654\) | −16.0900 | − | 23.1764i | −0.629170 | − | 0.906268i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 34.1350 | + | 29.5894i | 1.33275 | + | 1.15527i | ||||
\(657\) | 0.690358 | 0.0269334 | ||||||||
\(658\) | 1.04331 | + | 1.50280i | 0.0406723 | + | 0.0585852i | ||||
\(659\) | − | 41.5863i | − | 1.61997i | −0.586448 | − | 0.809987i | \(-0.699474\pi\) | ||
0.586448 | − | 0.809987i | \(-0.300526\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 12.0060i | − | 0.466978i | −0.972359 | − | 0.233489i | \(-0.924986\pi\) | ||
0.972359 | − | 0.233489i | \(-0.0750143\pi\) | |||||||
\(662\) | −15.9614 | + | 11.0811i | −0.620356 | + | 0.430678i | ||||
\(663\) | 6.24430 | 0.242509 | ||||||||
\(664\) | −4.09003 | − | 16.0340i | −0.158724 | − | 0.622239i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.24860 | + | 0.866833i | −0.0483823 | + | 0.0335891i | ||||
\(667\) | 50.5872i | 1.95875i | ||||||||
\(668\) | 2.25532 | − | 6.04502i | 0.0872609 | − | 0.233889i | ||||
\(669\) | − | 12.1579i | − | 0.470051i | ||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 34.5872 | 1.33523 | ||||||||
\(672\) | −4.19671 | − | 0.452186i | −0.161892 | − | 0.0174435i | ||||
\(673\) | 14.5080 | 0.559244 | 0.279622 | − | 0.960110i | \(-0.409791\pi\) | ||||
0.279622 | + | 0.960110i | \(0.409791\pi\) | |||||||
\(674\) | 16.7368 | + | 24.1080i | 0.644679 | + | 0.928607i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.10627 | + | 8.32586i | −0.119472 | + | 0.320226i | ||||
\(677\) | − | 43.8600i | − | 1.68568i | −0.538166 | − | 0.842839i | \(-0.680883\pi\) | ||
0.538166 | − | 0.842839i | \(-0.319117\pi\) | |||||||
\(678\) | 14.0032 | − | 9.72161i | 0.537789 | − | 0.373356i | ||||
\(679\) | −10.5872 | −0.406301 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 20.7368 | 0.794637 | ||||||||
\(682\) | −16.4830 | + | 11.4432i | −0.631168 | + | 0.438184i | ||||
\(683\) | − | 5.33527i | − | 0.204148i | −0.994777 | − | 0.102074i | \(-0.967452\pi\) | ||
0.994777 | − | 0.102074i | \(-0.0325479\pi\) | |||||||
\(684\) | 3.24860 | + | 1.21201i | 0.124213 | + | 0.0463424i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −8.09003 | − | 11.6530i | −0.308879 | − | 0.444915i | ||||
\(687\) | 19.9504 | 0.761153 | ||||||||
\(688\) | −19.5013 | + | 22.4972i | −0.743480 | + | 0.857698i | ||||
\(689\) | 22.5872 | 0.860505 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 39.7710i | 1.51296i | 0.654016 | + | 0.756480i | \(0.273083\pi\) | ||||
−0.654016 | + | 0.756480i | \(0.726917\pi\) | |||||||
\(692\) | −12.0450 | − | 4.49383i | −0.457882 | − | 0.170830i | ||||
\(693\) | − | 4.00000i | − | 0.151947i | ||||||
\(694\) | 5.50280 | − | 3.82028i | 0.208883 | − | 0.145016i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −18.4972 | + | 4.71836i | −0.701135 | + | 0.178849i | ||||
\(697\) | −24.1080 | −0.913157 | ||||||||
\(698\) | −0.560675 | + | 0.389245i | −0.0212219 | + | 0.0147331i | ||||
\(699\) | 13.3386i | 0.504514i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 27.5015i | − | 1.03872i | −0.854556 | − | 0.519359i | \(-0.826171\pi\) | ||
0.854556 | − | 0.519359i | \(-0.173829\pi\) | |||||||
\(702\) | −2.35918 | − | 3.39821i | −0.0890416 | − | 0.128257i | ||||
\(703\) | 1.86335 | 0.0702775 | ||||||||
\(704\) | 20.5422 | + | 37.6454i | 0.774214 | + | 1.41881i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.72161 | − | 2.47984i | −0.0647937 | − | 0.0933300i | ||||
\(707\) | − | 5.55118i | − | 0.208774i | ||||||
\(708\) | −4.79097 | + | 12.8414i | −0.180056 | + | 0.482611i | ||||
\(709\) | 0.111632i | 0.00419244i | 0.999998 | + | 0.00209622i | \(0.000667249\pi\) | ||||
−0.999998 | + | 0.00209622i | \(0.999333\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.64681 | −0.0992631 | ||||||||
\(712\) | −20.8094 | + | 5.30818i | −0.779866 | + | 0.198932i | ||||
\(713\) | 19.8387 | 0.742966 | ||||||||
\(714\) | 1.85039 | − | 1.28462i | 0.0692492 | − | 0.0480758i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −15.2486 | − | 5.68906i | −0.569867 | − | 0.212610i | ||||
\(717\) | − | 22.8864i | − | 0.854710i | ||||||
\(718\) | −7.73665 | − | 11.1440i | −0.288729 | − | 0.415891i | ||||
\(719\) | 10.7064 | 0.399281 | 0.199640 | − | 0.979869i | \(-0.436023\pi\) | ||||
0.199640 | + | 0.979869i | \(0.436023\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.37112 | 0.200031 | ||||||||
\(722\) | 12.8995 | + | 18.5807i | 0.480071 | + | 0.691503i | ||||
\(723\) | − | 3.59283i | − | 0.133619i | ||||||
\(724\) | 2.79641 | + | 1.04331i | 0.103928 | + | 0.0387742i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −20.6049 | + | 14.3048i | −0.764721 | + | 0.530902i | ||||
\(727\) | −25.6562 | −0.951536 | −0.475768 | − | 0.879571i | \(-0.657830\pi\) | ||||
−0.475768 | + | 0.879571i | \(0.657830\pi\) | |||||||
\(728\) | −1.52594 | − | 5.98207i | −0.0565551 | − | 0.221710i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 15.8888i | − | 0.587667i | ||||||
\(732\) | 4.51064 | − | 12.0900i | 0.166718 | − | 0.446860i | ||||
\(733\) | 30.3684i | 1.12168i | 0.827923 | + | 0.560842i | \(0.189522\pi\) | ||||
−0.827923 | + | 0.560842i | \(0.810478\pi\) | |||||||
\(734\) | 27.4882 | + | 39.5945i | 1.01461 | + | 1.46146i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.54222 | − | 42.1560i | 0.167428 | − | 1.55389i | ||||
\(737\) | 39.9007 | 1.46976 | ||||||||
\(738\) | 9.10834 | + | 13.1198i | 0.335283 | + | 0.482947i | ||||
\(739\) | 20.1917i | 0.742763i | 0.928480 | + | 0.371381i | \(0.121116\pi\) | ||||
−0.928480 | + | 0.371381i | \(0.878884\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 5.07131i | 0.186299i | ||||||||
\(742\) | 6.69335 | − | 4.64681i | 0.245720 | − | 0.170590i | ||||
\(743\) | 46.3863 | 1.70175 | 0.850875 | − | 0.525369i | \(-0.176073\pi\) | ||||
0.850875 | + | 0.525369i | \(0.176073\pi\) | |||||||
\(744\) | 1.85039 | + | 7.25402i | 0.0678387 | + | 0.265945i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 5.03942 | − | 3.49858i | 0.184506 | − | 0.128092i | ||||
\(747\) | − | 5.85039i | − | 0.214055i | ||||||
\(748\) | −21.4427 | − | 8.00000i | −0.784023 | − | 0.292509i | ||||
\(749\) | − | 2.98470i | − | 0.109059i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.1261 | −0.989845 | −0.494922 | − | 0.868937i | \(-0.664804\pi\) | ||||
−0.494922 | + | 0.868937i | \(0.664804\pi\) | |||||||
\(752\) | −5.24002 | − | 4.54222i | −0.191084 | − | 0.165638i | ||||
\(753\) | −8.82801 | −0.321710 | ||||||||
\(754\) | −15.9225 | − | 22.9351i | −0.579863 | − | 0.835245i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.39821 | − | 0.521653i | −0.0508523 | − | 0.0189724i | ||||
\(757\) | − | 45.2549i | − | 1.64482i | −0.568898 | − | 0.822408i | \(-0.692630\pi\) | ||
0.568898 | − | 0.822408i | \(-0.307370\pi\) | |||||||
\(758\) | 8.01699 | − | 5.56574i | 0.291190 | − | 0.202157i | ||||
\(759\) | 40.1801 | 1.45844 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 16.8864 | 0.612133 | 0.306067 | − | 0.952010i | \(-0.400987\pi\) | ||||
0.306067 | + | 0.952010i | \(0.400987\pi\) | |||||||
\(762\) | −4.89484 | + | 3.39821i | −0.177321 | + | 0.123104i | ||||
\(763\) | − | 14.8864i | − | 0.538926i | ||||||
\(764\) | −4.81434 | + | 12.9041i | −0.174177 | + | 0.466852i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.0450 | + | 25.9924i | 0.651993 | + | 0.939142i | ||||
\(767\) | −20.0464 | −0.723835 | ||||||||
\(768\) | 15.8380 | − | 2.27111i | 0.571504 | − | 0.0819516i | ||||
\(769\) | 16.3297 | 0.588863 | 0.294431 | − | 0.955673i | \(-0.404870\pi\) | ||||
0.294431 | + | 0.955673i | \(0.404870\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.2927i | 0.802853i | ||||||||
\(772\) | 11.5233 | − | 30.8864i | 0.414734 | − | 1.11163i | ||||
\(773\) | − | 41.3144i | − | 1.48598i | −0.669304 | − | 0.742989i | \(-0.733408\pi\) | ||
0.669304 | − | 0.742989i | \(-0.266592\pi\) | |||||||
\(774\) | −8.64681 | + | 6.00299i | −0.310803 | + | 0.215773i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 38.8864 | − | 9.91936i | 1.39594 | − | 0.356084i | ||||
\(777\) | −0.801991 | −0.0287713 | ||||||||
\(778\) | 12.8002 | − | 8.88645i | 0.458909 | − | 0.318595i | ||||
\(779\) | − | 19.5794i | − | 0.701503i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 71.2628i | 2.54998i | ||||||||
\(782\) | 12.9041 | + | 18.5872i | 0.461448 | + | 0.664678i | ||||
\(783\) | −6.74916 | −0.241195 | ||||||||
\(784\) | 19.4747 | + | 16.8813i | 0.695525 | + | 0.602904i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 8.32340 | + | 11.9892i | 0.296886 | + | 0.427640i | ||||
\(787\) | − | 11.4849i | − | 0.409391i | −0.978826 | − | 0.204696i | \(-0.934380\pi\) | ||
0.978826 | − | 0.204696i | \(-0.0656205\pi\) | |||||||
\(788\) | 25.4317 | + | 9.48824i | 0.905966 | + | 0.338005i | ||||
\(789\) | 21.2014i | 0.754789i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.99440 | 0.319804 | ||||||||
\(792\) | 3.74767 | + | 14.6918i | 0.133168 | + | 0.522051i | ||||
\(793\) | 18.8735 | 0.670216 | ||||||||
\(794\) | −29.3386 | + | 20.3681i | −1.04119 | + | 0.722838i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.32967 | + | 16.9657i | −0.224349 | + | 0.601332i | ||||
\(797\) | 45.4945i | 1.61150i | 0.592257 | + | 0.805749i | \(0.298237\pi\) | ||||
−0.592257 | + | 0.805749i | \(0.701763\pi\) | |||||||
\(798\) | 1.04331 | + | 1.50280i | 0.0369327 | + | 0.0531985i | ||||
\(799\) | 3.70079 | 0.130924 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.59283 | −0.268279 | ||||||||
\(802\) | 5.88233 | + | 8.47301i | 0.207712 | + | 0.299192i | ||||
\(803\) | − | 3.70079i | − | 0.130598i | ||||||
\(804\) | 5.20359 | − | 13.9474i | 0.183516 | − | 0.491886i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.99440 | + | 6.24430i | −0.316814 | + | 0.219946i | ||||
\(807\) | 14.6935 | 0.517237 | ||||||||
\(808\) | 5.20100 | + | 20.3892i | 0.182970 | + | 0.717291i | ||||
\(809\) | −36.0721 | −1.26823 | −0.634114 | − | 0.773240i | \(-0.718635\pi\) | ||||
−0.634114 | + | 0.773240i | \(0.718635\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 44.5230i | − | 1.56341i | −0.623646 | − | 0.781707i | \(-0.714349\pi\) | ||
0.623646 | − | 0.781707i | \(-0.285651\pi\) | |||||||
\(812\) | −9.43673 | − | 3.52072i | −0.331164 | − | 0.123553i | ||||
\(813\) | 20.2396i | 0.709835i | ||||||||
\(814\) | 4.64681 | + | 6.69335i | 0.162871 | + | 0.234602i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −5.59283 | + | 6.45203i | −0.195788 | + | 0.225866i | ||||
\(817\) | 12.9041 | 0.451456 | ||||||||
\(818\) | 12.7834 | + | 18.4134i | 0.446961 | + | 0.643811i | ||||
\(819\) | − | 2.18271i | − | 0.0762700i | ||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 34.1613i | − | 1.19224i | −0.802897 | − | 0.596118i | \(-0.796709\pi\) | ||
0.802897 | − | 0.596118i | \(-0.203291\pi\) | |||||||
\(822\) | 17.4705 | − | 12.1288i | 0.609354 | − | 0.423040i | ||||
\(823\) | −2.12689 | −0.0741388 | −0.0370694 | − | 0.999313i | \(-0.511802\pi\) | ||||
−0.0370694 | + | 0.999313i | \(0.511802\pi\) | |||||||
\(824\) | −19.7279 | + | 5.03229i | −0.687253 | + | 0.175308i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.94043 | + | 4.12410i | −0.206694 | + | 0.143496i | ||||
\(827\) | 38.5872i | 1.34181i | 0.741543 | + | 0.670905i | \(0.234094\pi\) | ||||
−0.741543 | + | 0.670905i | \(0.765906\pi\) | |||||||
\(828\) | 5.24002 | − | 14.0450i | 0.182103 | − | 0.488098i | ||||
\(829\) | 34.2351i | 1.18904i | 0.804083 | + | 0.594518i | \(0.202657\pi\) | ||||
−0.804083 | + | 0.594518i | \(0.797343\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.518027 | 0.0179701 | ||||||||
\(832\) | 11.2094 | + | 20.5422i | 0.388617 | + | 0.712173i | ||||
\(833\) | −13.7541 | −0.476551 | ||||||||
\(834\) | −7.63785 | − | 11.0017i | −0.264477 | − | 0.380957i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 6.49720 | − | 17.4147i | 0.224710 | − | 0.602300i | ||||
\(837\) | 2.64681i | 0.0914871i | ||||||||
\(838\) | 9.32384 | − | 6.47301i | 0.322087 | − | 0.223606i | ||||
\(839\) | −41.5928 | −1.43594 | −0.717972 | − | 0.696072i | \(-0.754929\pi\) | ||||
−0.717972 | + | 0.696072i | \(0.754929\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.5512 | −0.570730 | ||||||||
\(842\) | −26.6437 | + | 18.4972i | −0.918202 | + | 0.637456i | ||||
\(843\) | − | 13.7008i | − | 0.471880i | ||||||
\(844\) | −4.75140 | − | 1.77269i | −0.163550 | − | 0.0610184i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.39821 | − | 2.01400i | −0.0480714 | − | 0.0692428i | ||||
\(847\) | −13.2348 | −0.454752 | ||||||||
\(848\) | −20.2307 | + | 23.3386i | −0.694725 | + | 0.801452i | ||||
\(849\) | −18.0305 | −0.618804 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 8.05601i | − | 0.276156i | ||||||
\(852\) | 24.9100 | + | 9.29362i | 0.853404 | + | 0.318394i | ||||
\(853\) | − | 23.1828i | − | 0.793763i | −0.917870 | − | 0.396881i | \(-0.870092\pi\) | ||
0.917870 | − | 0.396881i | \(-0.129908\pi\) | |||||||
\(854\) | 5.59283 | − | 3.88278i | 0.191383 | − | 0.132866i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.79641 | + | 10.9627i | 0.0955795 | + | 0.374696i | ||||
\(857\) | 9.38868 | 0.320711 | 0.160356 | − | 0.987059i | \(-0.448736\pi\) | ||||
0.160356 | + | 0.987059i | \(0.448736\pi\) | |||||||
\(858\) | −18.2167 | + | 12.6468i | −0.621907 | + | 0.431755i | ||||
\(859\) | 8.98769i | 0.306656i | 0.988175 | + | 0.153328i | \(0.0489991\pi\) | ||||
−0.988175 | + | 0.153328i | \(0.951001\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.42701i | 0.287192i | ||||||||
\(862\) | −28.2813 | − | 40.7368i | −0.963264 | − | 1.38750i | ||||
\(863\) | −12.2473 | −0.416903 | −0.208451 | − | 0.978033i | \(-0.566842\pi\) | ||||
−0.208451 | + | 0.978033i | \(0.566842\pi\) | |||||||
\(864\) | 5.62430 | + | 0.606006i | 0.191343 | + | 0.0206167i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.7729 | + | 19.8387i | 0.468022 | + | 0.674147i | ||||
\(867\) | 12.4432i | 0.422594i | ||||||||
\(868\) | −1.38072 | + | 3.70079i | −0.0468646 | + | 0.125613i | ||||
\(869\) | 14.1887i | 0.481318i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 21.7729 | 0.737746 | ||||||||
\(872\) | 13.9474 | + | 54.6773i | 0.472317 | + | 1.85161i | ||||
\(873\) | 14.1887 | 0.480214 | ||||||||
\(874\) | −15.0956 | + | 10.4800i | −0.510617 | + | 0.354492i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −1.29362 | − | 0.482632i | −0.0437073 | − | 0.0163066i | ||||
\(877\) | 26.1109i | 0.881701i | 0.897581 | + | 0.440850i | \(0.145323\pi\) | ||||
−0.897581 | + | 0.440850i | \(0.854677\pi\) | |||||||
\(878\) | 6.88661 | + | 9.91960i | 0.232412 | + | 0.334770i | ||||
\(879\) | −15.9792 | −0.538964 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −38.4793 | −1.29640 | −0.648200 | − | 0.761470i | \(-0.724478\pi\) | ||||
−0.648200 | + | 0.761470i | \(0.724478\pi\) | |||||||
\(882\) | 5.19648 | + | 7.48511i | 0.174975 | + | 0.252037i | ||||
\(883\) | 6.58723i | 0.221678i | 0.993838 | + | 0.110839i | \(0.0353538\pi\) | ||||
−0.993838 | + | 0.110839i | \(0.964646\pi\) | |||||||
\(884\) | −11.7008 | − | 4.36542i | −0.393540 | − | 0.146825i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −24.0900 | + | 16.7243i | −0.809320 | + | 0.561865i | ||||
\(887\) | 50.9595 | 1.71105 | 0.855526 | − | 0.517760i | \(-0.173234\pi\) | ||||
0.855526 | + | 0.517760i | \(0.173234\pi\) | |||||||
\(888\) | 2.94568 | − | 0.751399i | 0.0988505 | − | 0.0252153i | ||||
\(889\) | −3.14401 | −0.105447 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.36068i | 0.179589i | ||||||||
\(892\) | −8.49962 | + | 22.7819i | −0.284588 | + | 0.762793i | ||||
\(893\) | 3.00560i | 0.100578i | ||||||||
\(894\) | 1.44322 | + | 2.07884i | 0.0482686 | + | 0.0695270i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 7.54781 | + | 3.78126i | 0.252155 | + | 0.126323i | ||||
\(897\) | 21.9253 | 0.732066 | ||||||||
\(898\) | −1.61301 | − | 2.32340i | −0.0538268 | − | 0.0775330i | ||||
\(899\) | 17.8637i | 0.595789i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 16.4830i | − | 0.549129i | ||||||
\(902\) | 70.3311 | − | 48.8269i | 2.34177 | − | 1.62576i | ||||
\(903\) | −5.55394 | −0.184824 | ||||||||
\(904\) | −33.0361 | + | 8.42701i | −1.09876 | + | 0.280278i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 12.3684 | − | 8.58669i | 0.410913 | − | 0.285274i | ||||
\(907\) | − | 24.5568i | − | 0.815394i | −0.913117 | − | 0.407697i | \(-0.866332\pi\) | ||
0.913117 | − | 0.407697i | \(-0.133668\pi\) | |||||||
\(908\) | −38.8574 | − | 14.4972i | −1.28953 | − | 0.481107i | ||||
\(909\) | 7.43952i | 0.246753i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | −5.24002 | − | 4.54222i | −0.173514 | − | 0.150408i | ||||
\(913\) | −31.3621 | −1.03793 | ||||||||
\(914\) | 1.03605 | + | 1.49235i | 0.0342696 | + | 0.0493625i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −37.3836 | − | 13.9474i | −1.23519 | − | 0.460834i | ||||
\(917\) | 7.70079i | 0.254302i | ||||||||
\(918\) | −2.47984 | + | 1.72161i | −0.0818469 | + | 0.0568217i | ||||
\(919\) | 28.7548 | 0.948532 | 0.474266 | − | 0.880382i | \(-0.342713\pi\) | ||||
0.474266 | + | 0.880382i | \(0.342713\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −22.5872 | −0.744275 | ||||||||
\(922\) | −18.2425 | + | 12.6647i | −0.600785 | + | 0.417091i | ||||
\(923\) | 38.8864i | 1.27996i | ||||||||
\(924\) | −2.79641 | + | 7.49534i | −0.0919953 | + | 0.246578i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 15.0990 | + | 21.7489i | 0.496184 | + | 0.714712i | ||||
\(927\) | −7.19820 | −0.236420 | ||||||||
\(928\) | 37.9593 | + | 4.09003i | 1.24608 | + | 0.134262i | ||||
\(929\) | 28.2880 | 0.928100 | 0.464050 | − | 0.885809i | \(-0.346396\pi\) | ||||
0.464050 | + | 0.885809i | \(0.346396\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 11.1704i | − | 0.366095i | ||||||
\(932\) | 9.32510 | − | 24.9944i | 0.305454 | − | 0.818719i | ||||
\(933\) | 18.5872i | 0.608519i | ||||||||
\(934\) | 2.49720 | − | 1.73367i | 0.0817110 | − | 0.0567273i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.04502 | + | 8.01699i | 0.0668434 | + | 0.262044i | ||||
\(937\) | −33.9313 | −1.10849 | −0.554244 | − | 0.832354i | \(-0.686992\pi\) | ||||
−0.554244 | + | 0.832354i | \(0.686992\pi\) | |||||||
\(938\) | 6.45203 | − | 4.47928i | 0.210666 | − | 0.146254i | ||||
\(939\) | 29.3871i | 0.959011i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 38.8016i | − | 1.26490i | −0.774603 | − | 0.632448i | \(-0.782050\pi\) | ||
0.774603 | − | 0.632448i | \(-0.217950\pi\) | |||||||
\(942\) | 5.58520 | + | 8.04502i | 0.181976 | + | 0.262121i | ||||
\(943\) | −84.6495 | −2.75657 | ||||||||
\(944\) | 17.9550 | − | 20.7133i | 0.584385 | − | 0.674161i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 32.1801 | + | 46.3527i | 1.04626 | + | 1.50706i | ||||
\(947\) | 17.7729i | 0.577541i | 0.957398 | + | 0.288771i | \(0.0932465\pi\) | ||||
−0.957398 | + | 0.288771i | \(0.906753\pi\) | |||||||
\(948\) | 4.95968 | + | 1.85039i | 0.161083 | + | 0.0600980i | ||||
\(949\) | − | 2.01943i | − | 0.0655536i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.57201 | −0.180685 | ||||||||
\(952\) | −4.36542 | + | 1.11355i | −0.141484 | + | 0.0360905i | ||||
\(953\) | −46.3047 | −1.49996 | −0.749978 | − | 0.661463i | \(-0.769936\pi\) | ||||
−0.749978 | + | 0.661463i | \(0.769936\pi\) | |||||||
\(954\) | −8.97021 | + | 6.22751i | −0.290421 | + | 0.201623i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −16.0000 | + | 42.8854i | −0.517477 | + | 1.38701i | ||||
\(957\) | 36.1801i | 1.16954i | ||||||||
\(958\) | −9.82327 | − | 14.1496i | −0.317375 | − | 0.457153i | ||||
\(959\) | 11.2215 | 0.362361 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.9944 | −0.774013 | ||||||||
\(962\) | 2.53566 | + | 3.65240i | 0.0817528 | + | 0.117758i | ||||
\(963\) | 4.00000i | 0.128898i | ||||||||
\(964\) | −2.51176 | + | 6.73237i | −0.0808984 | + | 0.216835i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 6.49720 | − | 4.51064i | 0.209044 | − | 0.145127i | ||||
\(967\) | 9.28482 | 0.298580 | 0.149290 | − | 0.988793i | \(-0.452301\pi\) | ||||
0.149290 | + | 0.988793i | \(0.452301\pi\) | |||||||
\(968\) | 48.6108 | − | 12.3999i | 1.56241 | − | 0.398548i | ||||
\(969\) | 3.70079 | 0.118886 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 20.9301i | 0.671678i | 0.941919 | + | 0.335839i | \(0.109020\pi\) | ||||
−0.941919 | + | 0.335839i | \(0.890980\pi\) | |||||||
\(972\) | 1.87383 | + | 0.699104i | 0.0601033 | + | 0.0224238i | ||||
\(973\) | − | 7.06651i | − | 0.226542i | ||||||
\(974\) | 20.7819 | + | 29.9346i | 0.665894 | + | 0.959165i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16.9044 | + | 19.5013i | −0.541096 | + | 0.624222i | ||||
\(977\) | −30.8314 | −0.986383 | −0.493192 | − | 0.869921i | \(-0.664170\pi\) | ||||
−0.493192 | + | 0.869921i | \(0.664170\pi\) | |||||||
\(978\) | −6.21071 | − | 8.94602i | −0.198597 | − | 0.286062i | ||||
\(979\) | 40.7027i | 1.30086i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 19.9504i | 0.636966i | ||||||||
\(982\) | 19.4845 | − | 13.5270i | 0.621776 | − | 0.431664i | ||||
\(983\) | 31.3285 | 0.999223 | 0.499612 | − | 0.866250i | \(-0.333476\pi\) | ||||
0.499612 | + | 0.866250i | \(0.333476\pi\) | |||||||
\(984\) | −7.89541 | − | 30.9520i | −0.251696 | − | 0.986715i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −16.7368 | + | 11.6194i | −0.533010 | + | 0.370038i | ||||
\(987\) | − | 1.29362i | − | 0.0411763i | ||||||
\(988\) | 3.54537 | − | 9.50280i | 0.112793 | − | 0.302324i | ||||
\(989\) | − | 55.7895i | − | 1.77400i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 31.3420 | 0.995611 | 0.497806 | − | 0.867289i | \(-0.334139\pi\) | ||||
0.497806 | + | 0.867289i | \(0.334139\pi\) | |||||||
\(992\) | 1.60398 | − | 14.8864i | 0.0509265 | − | 0.472645i | ||||
\(993\) | 13.7396 | 0.436014 | ||||||||
\(994\) | 8.00000 | + | 11.5233i | 0.253745 | + | 0.365498i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.09003 | + | 10.9627i | −0.129598 | + | 0.347365i | ||||
\(997\) | 20.9557i | 0.663672i | 0.943337 | + | 0.331836i | \(0.107668\pi\) | ||||
−0.943337 | + | 0.331836i | \(0.892332\pi\) | |||||||
\(998\) | −20.4720 | + | 14.2125i | −0.648030 | + | 0.449890i | ||||
\(999\) | 1.07480 | 0.0340053 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))