Properties

Label 380.2.bb.a.219.11
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 219.11
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.07107 - 0.923481i) q^{2} +(2.07566 + 2.47367i) q^{3} +(0.294366 + 1.97822i) q^{4} +(-1.29113 - 1.82565i) q^{5} +(0.0612219 - 4.56629i) q^{6} +(-1.40918 + 2.44076i) q^{7} +(1.51156 - 2.39065i) q^{8} +(-1.28975 + 7.31455i) q^{9} +O(q^{10})\) \(q+(-1.07107 - 0.923481i) q^{2} +(2.07566 + 2.47367i) q^{3} +(0.294366 + 1.97822i) q^{4} +(-1.29113 - 1.82565i) q^{5} +(0.0612219 - 4.56629i) q^{6} +(-1.40918 + 2.44076i) q^{7} +(1.51156 - 2.39065i) q^{8} +(-1.28975 + 7.31455i) q^{9} +(-0.303064 + 3.14772i) q^{10} +(-3.57842 + 2.06600i) q^{11} +(-4.28246 + 4.83427i) q^{12} +(0.432766 + 0.363134i) q^{13} +(3.76332 - 1.31287i) q^{14} +(1.83611 - 6.98324i) q^{15} +(-3.82670 + 1.16464i) q^{16} +(6.16013 - 1.08620i) q^{17} +(8.13626 - 6.64331i) q^{18} +(-3.10413 + 3.06013i) q^{19} +(3.23146 - 3.09155i) q^{20} +(-8.96261 + 1.58035i) q^{21} +(5.74064 + 1.09178i) q^{22} +(1.24017 - 0.451383i) q^{23} +(9.05115 - 1.22305i) q^{24} +(-1.66597 + 4.71429i) q^{25} +(-0.128174 - 0.788591i) q^{26} +(-12.3813 + 7.14835i) q^{27} +(-5.24318 - 2.06918i) q^{28} +(-2.13527 - 0.376505i) q^{29} +(-8.41548 + 5.78391i) q^{30} +(2.48715 - 4.30786i) q^{31} +(5.17417 + 2.28647i) q^{32} +(-12.5382 - 4.56353i) q^{33} +(-7.60098 - 4.52537i) q^{34} +(6.27540 - 0.578685i) q^{35} +(-14.8494 - 0.398255i) q^{36} -4.45706 q^{37} +(6.15070 - 0.411000i) q^{38} +1.82426i q^{39} +(-6.31609 + 0.327056i) q^{40} +(2.98373 + 3.55587i) q^{41} +(11.0590 + 6.58414i) q^{42} +(7.73389 + 2.81491i) q^{43} +(-5.14037 - 6.47074i) q^{44} +(15.0190 - 7.08940i) q^{45} +(-1.74514 - 0.661807i) q^{46} +(-0.670645 + 3.80342i) q^{47} +(-10.8238 - 7.04859i) q^{48} +(-0.471551 - 0.816750i) q^{49} +(6.13792 - 3.51083i) q^{50} +(15.4732 + 12.9836i) q^{51} +(-0.590966 + 0.963000i) q^{52} +(7.29038 - 2.65348i) q^{53} +(19.8626 + 3.77754i) q^{54} +(8.39200 + 3.86546i) q^{55} +(3.70494 + 7.05820i) q^{56} +(-14.0129 - 1.32681i) q^{57} +(1.93932 + 2.37514i) q^{58} +(-1.57361 - 8.92439i) q^{59} +(14.3549 + 1.57659i) q^{60} +(7.95821 - 2.89655i) q^{61} +(-6.64213 + 2.31718i) q^{62} +(-16.0356 - 13.4555i) q^{63} +(-3.43037 - 7.22721i) q^{64} +(0.104197 - 1.25893i) q^{65} +(9.21490 + 16.4666i) q^{66} +(4.11674 + 0.725892i) q^{67} +(3.96207 + 11.8663i) q^{68} +(3.69073 + 2.13084i) q^{69} +(-7.25577 - 5.17540i) q^{70} +(4.36440 + 1.58851i) q^{71} +(15.5370 + 14.1397i) q^{72} +(-0.244750 - 0.291682i) q^{73} +(4.77381 + 4.11601i) q^{74} +(-15.1196 + 5.66419i) q^{75} +(-6.96736 - 5.23984i) q^{76} -11.6454i q^{77} +(1.68467 - 1.95390i) q^{78} +(-6.60624 + 5.54330i) q^{79} +(7.06699 + 5.48249i) q^{80} +(-22.4436 - 8.16881i) q^{81} +(0.0880056 - 6.56398i) q^{82} +(-0.842748 + 1.45968i) q^{83} +(-5.76457 - 17.2648i) q^{84} +(-9.93653 - 9.84379i) q^{85} +(-5.68400 - 10.1571i) q^{86} +(-3.50073 - 6.06344i) q^{87} +(-0.469923 + 11.6776i) q^{88} +(5.63638 - 6.71718i) q^{89} +(-22.6333 - 6.27656i) q^{90} +(-1.49617 + 0.544560i) q^{91} +(1.25800 + 2.32045i) q^{92} +(15.8187 - 2.78926i) q^{93} +(4.23069 - 3.45438i) q^{94} +(9.59454 + 1.71602i) q^{95} +(5.08382 + 17.5451i) q^{96} +(0.0553455 + 0.313880i) q^{97} +(-0.249191 + 1.31026i) q^{98} +(-10.4966 - 28.8392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07107 0.923481i −0.757358 0.653000i
\(3\) 2.07566 + 2.47367i 1.19838 + 1.42817i 0.876505 + 0.481392i \(0.159869\pi\)
0.321875 + 0.946782i \(0.395687\pi\)
\(4\) 0.294366 + 1.97822i 0.147183 + 0.989109i
\(5\) −1.29113 1.82565i −0.577411 0.816454i
\(6\) 0.0612219 4.56629i 0.0249937 1.86418i
\(7\) −1.40918 + 2.44076i −0.532618 + 0.922522i 0.466656 + 0.884439i \(0.345458\pi\)
−0.999275 + 0.0380831i \(0.987875\pi\)
\(8\) 1.51156 2.39065i 0.534417 0.845221i
\(9\) −1.28975 + 7.31455i −0.429918 + 2.43818i
\(10\) −0.303064 + 3.14772i −0.0958373 + 0.995397i
\(11\) −3.57842 + 2.06600i −1.07894 + 0.622924i −0.930609 0.366015i \(-0.880722\pi\)
−0.148326 + 0.988938i \(0.547389\pi\)
\(12\) −4.28246 + 4.83427i −1.23624 + 1.39553i
\(13\) 0.432766 + 0.363134i 0.120028 + 0.100715i 0.700826 0.713332i \(-0.252815\pi\)
−0.580798 + 0.814048i \(0.697259\pi\)
\(14\) 3.76332 1.31287i 1.00579 0.350880i
\(15\) 1.83611 6.98324i 0.474081 1.80307i
\(16\) −3.82670 + 1.16464i −0.956674 + 0.291161i
\(17\) 6.16013 1.08620i 1.49405 0.263441i 0.633873 0.773437i \(-0.281464\pi\)
0.860177 + 0.509996i \(0.170353\pi\)
\(18\) 8.13626 6.64331i 1.91774 1.56584i
\(19\) −3.10413 + 3.06013i −0.712136 + 0.702042i
\(20\) 3.23146 3.09155i 0.722577 0.691290i
\(21\) −8.96261 + 1.58035i −1.95580 + 0.344861i
\(22\) 5.74064 + 1.09178i 1.22391 + 0.232768i
\(23\) 1.24017 0.451383i 0.258592 0.0941199i −0.209471 0.977815i \(-0.567174\pi\)
0.468063 + 0.883695i \(0.344952\pi\)
\(24\) 9.05115 1.22305i 1.84756 0.249655i
\(25\) −1.66597 + 4.71429i −0.333194 + 0.942858i
\(26\) −0.128174 0.788591i −0.0251370 0.154656i
\(27\) −12.3813 + 7.14835i −2.38278 + 1.37570i
\(28\) −5.24318 2.06918i −0.990867 0.391038i
\(29\) −2.13527 0.376505i −0.396509 0.0699153i −0.0281615 0.999603i \(-0.508965\pi\)
−0.368348 + 0.929688i \(0.620076\pi\)
\(30\) −8.41548 + 5.78391i −1.53645 + 1.05599i
\(31\) 2.48715 4.30786i 0.446705 0.773715i −0.551465 0.834198i \(-0.685931\pi\)
0.998169 + 0.0604832i \(0.0192642\pi\)
\(32\) 5.17417 + 2.28647i 0.914673 + 0.404195i
\(33\) −12.5382 4.56353i −2.18262 0.794408i
\(34\) −7.60098 4.52537i −1.30356 0.776094i
\(35\) 6.27540 0.578685i 1.06074 0.0978157i
\(36\) −14.8494 0.398255i −2.47491 0.0663758i
\(37\) −4.45706 −0.732736 −0.366368 0.930470i \(-0.619399\pi\)
−0.366368 + 0.930470i \(0.619399\pi\)
\(38\) 6.15070 0.411000i 0.997775 0.0666730i
\(39\) 1.82426i 0.292116i
\(40\) −6.31609 + 0.327056i −0.998662 + 0.0517122i
\(41\) 2.98373 + 3.55587i 0.465980 + 0.555333i 0.946940 0.321409i \(-0.104156\pi\)
−0.480961 + 0.876742i \(0.659712\pi\)
\(42\) 11.0590 + 6.58414i 1.70644 + 1.01595i
\(43\) 7.73389 + 2.81491i 1.17941 + 0.429269i 0.855993 0.516988i \(-0.172947\pi\)
0.323415 + 0.946257i \(0.395169\pi\)
\(44\) −5.14037 6.47074i −0.774941 0.975501i
\(45\) 15.0190 7.08940i 2.23890 1.05683i
\(46\) −1.74514 0.661807i −0.257307 0.0975782i
\(47\) −0.670645 + 3.80342i −0.0978236 + 0.554785i 0.896022 + 0.444010i \(0.146445\pi\)
−0.993845 + 0.110775i \(0.964667\pi\)
\(48\) −10.8238 7.04859i −1.56229 1.01738i
\(49\) −0.471551 0.816750i −0.0673644 0.116679i
\(50\) 6.13792 3.51083i 0.868033 0.496506i
\(51\) 15.4732 + 12.9836i 2.16668 + 1.81806i
\(52\) −0.590966 + 0.963000i −0.0819523 + 0.133544i
\(53\) 7.29038 2.65348i 1.00141 0.364484i 0.211283 0.977425i \(-0.432236\pi\)
0.790129 + 0.612941i \(0.210014\pi\)
\(54\) 19.8626 + 3.77754i 2.70295 + 0.514058i
\(55\) 8.39200 + 3.86546i 1.13158 + 0.521218i
\(56\) 3.70494 + 7.05820i 0.495094 + 0.943192i
\(57\) −14.0129 1.32681i −1.85605 0.175740i
\(58\) 1.93932 + 2.37514i 0.254645 + 0.311871i
\(59\) −1.57361 8.92439i −0.204867 1.16186i −0.897649 0.440711i \(-0.854727\pi\)
0.692783 0.721147i \(-0.256385\pi\)
\(60\) 14.3549 + 1.57659i 1.85321 + 0.203537i
\(61\) 7.95821 2.89655i 1.01894 0.370865i 0.222083 0.975028i \(-0.428714\pi\)
0.796861 + 0.604162i \(0.206492\pi\)
\(62\) −6.64213 + 2.31718i −0.843551 + 0.294282i
\(63\) −16.0356 13.4555i −2.02030 1.69523i
\(64\) −3.43037 7.22721i −0.428796 0.903401i
\(65\) 0.104197 1.25893i 0.0129240 0.156151i
\(66\) 9.21490 + 16.4666i 1.13428 + 2.02690i
\(67\) 4.11674 + 0.725892i 0.502940 + 0.0886819i 0.419361 0.907819i \(-0.362254\pi\)
0.0835784 + 0.996501i \(0.473365\pi\)
\(68\) 3.96207 + 11.8663i 0.480471 + 1.43900i
\(69\) 3.69073 + 2.13084i 0.444312 + 0.256523i
\(70\) −7.25577 5.17540i −0.867231 0.618579i
\(71\) 4.36440 + 1.58851i 0.517959 + 0.188522i 0.587754 0.809040i \(-0.300012\pi\)
−0.0697952 + 0.997561i \(0.522235\pi\)
\(72\) 15.5370 + 14.1397i 1.83105 + 1.66638i
\(73\) −0.244750 0.291682i −0.0286458 0.0341387i 0.751531 0.659697i \(-0.229316\pi\)
−0.780177 + 0.625559i \(0.784871\pi\)
\(74\) 4.77381 + 4.11601i 0.554944 + 0.478476i
\(75\) −15.1196 + 5.66419i −1.74586 + 0.654044i
\(76\) −6.96736 5.23984i −0.799211 0.601051i
\(77\) 11.6454i 1.32712i
\(78\) 1.68467 1.95390i 0.190751 0.221236i
\(79\) −6.60624 + 5.54330i −0.743260 + 0.623669i −0.933711 0.358027i \(-0.883449\pi\)
0.190451 + 0.981697i \(0.439005\pi\)
\(80\) 7.06699 + 5.48249i 0.790113 + 0.612961i
\(81\) −22.4436 8.16881i −2.49373 0.907645i
\(82\) 0.0880056 6.56398i 0.00971859 0.724871i
\(83\) −0.842748 + 1.45968i −0.0925037 + 0.160221i −0.908564 0.417746i \(-0.862820\pi\)
0.816060 + 0.577967i \(0.196154\pi\)
\(84\) −5.76457 17.2648i −0.628966 1.88374i
\(85\) −9.93653 9.84379i −1.07777 1.06771i
\(86\) −5.68400 10.1571i −0.612921 1.09526i
\(87\) −3.50073 6.06344i −0.375318 0.650069i
\(88\) −0.469923 + 11.6776i −0.0500940 + 1.24484i
\(89\) 5.63638 6.71718i 0.597455 0.712020i −0.379565 0.925165i \(-0.623926\pi\)
0.977020 + 0.213145i \(0.0683708\pi\)
\(90\) −22.6333 6.27656i −2.38576 0.661608i
\(91\) −1.49617 + 0.544560i −0.156841 + 0.0570854i
\(92\) 1.25800 + 2.32045i 0.131155 + 0.241923i
\(93\) 15.8187 2.78926i 1.64032 0.289233i
\(94\) 4.23069 3.45438i 0.436362 0.356292i
\(95\) 9.59454 + 1.71602i 0.984380 + 0.176059i
\(96\) 5.08382 + 17.5451i 0.518865 + 1.79069i
\(97\) 0.0553455 + 0.313880i 0.00561948 + 0.0318697i 0.987489 0.157691i \(-0.0504049\pi\)
−0.981869 + 0.189560i \(0.939294\pi\)
\(98\) −0.249191 + 1.31026i −0.0251721 + 0.132356i
\(99\) −10.4966 28.8392i −1.05495 2.89845i
\(100\) −9.81630 1.90792i −0.981630 0.190792i
\(101\) −1.65779 1.39105i −0.164957 0.138415i 0.556573 0.830799i \(-0.312116\pi\)
−0.721529 + 0.692384i \(0.756561\pi\)
\(102\) −4.58276 28.1954i −0.453761 2.79176i
\(103\) 14.9698 8.64280i 1.47501 0.851600i 0.475411 0.879764i \(-0.342299\pi\)
0.999603 + 0.0281636i \(0.00896592\pi\)
\(104\) 1.52228 0.485691i 0.149271 0.0476259i
\(105\) 14.4570 + 14.3221i 1.41086 + 1.39770i
\(106\) −10.2589 3.89047i −0.996435 0.377876i
\(107\) −3.82749 2.20980i −0.370018 0.213630i 0.303449 0.952848i \(-0.401862\pi\)
−0.673466 + 0.739218i \(0.735195\pi\)
\(108\) −17.7856 22.3887i −1.71142 2.15435i
\(109\) −6.07414 + 16.6886i −0.581797 + 1.59847i 0.203310 + 0.979114i \(0.434830\pi\)
−0.785107 + 0.619360i \(0.787392\pi\)
\(110\) −5.41871 11.8900i −0.516654 1.13367i
\(111\) −9.25132 11.0253i −0.878097 1.04648i
\(112\) 2.54987 10.9812i 0.240940 1.03763i
\(113\) 5.58482 0.525376 0.262688 0.964881i \(-0.415391\pi\)
0.262688 + 0.964881i \(0.415391\pi\)
\(114\) 13.7834 + 14.3617i 1.29093 + 1.34510i
\(115\) −2.42528 1.68131i −0.226159 0.156783i
\(116\) 0.116259 4.33486i 0.0107944 0.402481i
\(117\) −3.21432 + 2.69714i −0.297164 + 0.249350i
\(118\) −6.55606 + 11.0118i −0.603535 + 1.01372i
\(119\) −6.02955 + 16.5660i −0.552728 + 1.51861i
\(120\) −13.9191 14.9451i −1.27063 1.36429i
\(121\) 3.03674 5.25979i 0.276067 0.478163i
\(122\) −11.1987 4.24686i −1.01388 0.384492i
\(123\) −2.60285 + 14.7615i −0.234691 + 1.33100i
\(124\) 9.25403 + 3.65203i 0.831036 + 0.327962i
\(125\) 10.7576 3.04529i 0.962190 0.272379i
\(126\) 4.74933 + 29.2203i 0.423104 + 2.60315i
\(127\) 6.16403 7.34601i 0.546969 0.651853i −0.419766 0.907633i \(-0.637888\pi\)
0.966735 + 0.255780i \(0.0823322\pi\)
\(128\) −3.00004 + 10.9087i −0.265169 + 0.964202i
\(129\) 9.08975 + 24.9739i 0.800308 + 2.19883i
\(130\) −1.27420 + 1.25217i −0.111755 + 0.109823i
\(131\) −13.9043 + 2.45170i −1.21482 + 0.214206i −0.744097 0.668072i \(-0.767120\pi\)
−0.470728 + 0.882278i \(0.656009\pi\)
\(132\) 5.33683 26.1466i 0.464512 2.27577i
\(133\) −3.09479 11.8887i −0.268353 1.03088i
\(134\) −3.73895 4.57921i −0.322996 0.395583i
\(135\) 29.0362 + 13.3744i 2.49904 + 1.15109i
\(136\) 6.71469 16.3685i 0.575780 1.40359i
\(137\) −1.10800 3.04419i −0.0946625 0.260083i 0.883320 0.468771i \(-0.155303\pi\)
−0.977982 + 0.208688i \(0.933081\pi\)
\(138\) −1.98522 5.69059i −0.168993 0.484415i
\(139\) 4.98781 5.94424i 0.423061 0.504184i −0.511846 0.859077i \(-0.671038\pi\)
0.934907 + 0.354893i \(0.115483\pi\)
\(140\) 2.99203 + 12.2438i 0.252873 + 1.03479i
\(141\) −10.8004 + 6.23563i −0.909560 + 0.525135i
\(142\) −3.20760 5.73184i −0.269176 0.481005i
\(143\) −2.29886 0.405350i −0.192240 0.0338971i
\(144\) −3.58334 29.4927i −0.298612 2.45772i
\(145\) 2.06954 + 4.38436i 0.171866 + 0.364101i
\(146\) −0.00721894 + 0.538432i −0.000597444 + 0.0445610i
\(147\) 1.04159 2.86175i 0.0859091 0.236033i
\(148\) −1.31201 8.81704i −0.107846 0.724756i
\(149\) 6.49564 5.45049i 0.532144 0.446522i −0.336697 0.941613i \(-0.609310\pi\)
0.868841 + 0.495091i \(0.164865\pi\)
\(150\) 21.4248 + 7.89592i 1.74933 + 0.644700i
\(151\) 6.38778 0.519830 0.259915 0.965631i \(-0.416305\pi\)
0.259915 + 0.965631i \(0.416305\pi\)
\(152\) 2.62361 + 12.0464i 0.212803 + 0.977095i
\(153\) 46.4595i 3.75603i
\(154\) −10.7543 + 12.4730i −0.866610 + 1.00511i
\(155\) −11.0759 + 1.02136i −0.889635 + 0.0820376i
\(156\) −3.60879 + 0.537001i −0.288934 + 0.0429945i
\(157\) 1.14780 3.15355i 0.0916042 0.251680i −0.885426 0.464780i \(-0.846134\pi\)
0.977031 + 0.213099i \(0.0683558\pi\)
\(158\) 12.1949 + 0.163501i 0.970170 + 0.0130074i
\(159\) 21.6962 + 12.5263i 1.72062 + 0.993399i
\(160\) −2.50623 12.3983i −0.198135 0.980175i
\(161\) −0.645891 + 3.66303i −0.0509033 + 0.288687i
\(162\) 16.4949 + 29.4756i 1.29596 + 2.31582i
\(163\) −2.42192 4.19490i −0.189700 0.328570i 0.755450 0.655206i \(-0.227418\pi\)
−0.945150 + 0.326636i \(0.894085\pi\)
\(164\) −6.15597 + 6.94919i −0.480701 + 0.542641i
\(165\) 7.85704 + 28.7824i 0.611669 + 2.24071i
\(166\) 2.25063 0.785155i 0.174683 0.0609399i
\(167\) −4.24838 11.6723i −0.328749 0.903231i −0.988429 0.151684i \(-0.951530\pi\)
0.659680 0.751547i \(-0.270692\pi\)
\(168\) −9.76947 + 23.8152i −0.753731 + 1.83738i
\(169\) −2.20201 12.4882i −0.169385 0.960631i
\(170\) 1.55213 + 19.7195i 0.119043 + 1.51242i
\(171\) −18.3799 26.6521i −1.40555 2.03814i
\(172\) −3.29190 + 16.1279i −0.251005 + 1.22974i
\(173\) −0.739843 4.19586i −0.0562492 0.319005i 0.943681 0.330858i \(-0.107338\pi\)
−0.999930 + 0.0118530i \(0.996227\pi\)
\(174\) −1.84996 + 9.72721i −0.140245 + 0.737418i
\(175\) −9.15883 10.7095i −0.692342 0.809562i
\(176\) 11.2874 12.0736i 0.850819 0.910078i
\(177\) 18.8097 22.4166i 1.41383 1.68493i
\(178\) −12.2401 + 1.98945i −0.917436 + 0.149116i
\(179\) 4.55533 + 7.89007i 0.340481 + 0.589731i 0.984522 0.175260i \(-0.0560766\pi\)
−0.644041 + 0.764991i \(0.722743\pi\)
\(180\) 18.4455 + 27.6240i 1.37485 + 2.05897i
\(181\) 5.86853 + 1.03478i 0.436204 + 0.0769145i 0.387438 0.921896i \(-0.373360\pi\)
0.0487659 + 0.998810i \(0.484471\pi\)
\(182\) 2.10538 + 0.798421i 0.156062 + 0.0591829i
\(183\) 23.6836 + 13.6737i 1.75074 + 1.01079i
\(184\) 0.795488 3.64709i 0.0586442 0.268867i
\(185\) 5.75464 + 8.13702i 0.423090 + 0.598245i
\(186\) −19.5187 11.6208i −1.43118 0.852077i
\(187\) −19.7995 + 16.6137i −1.44788 + 1.21491i
\(188\) −7.72140 0.207084i −0.563141 0.0151032i
\(189\) 40.2931i 2.93089i
\(190\) −8.69169 10.6983i −0.630561 0.776139i
\(191\) 13.5430i 0.979940i 0.871739 + 0.489970i \(0.162992\pi\)
−0.871739 + 0.489970i \(0.837008\pi\)
\(192\) 10.7575 23.4868i 0.776354 1.69501i
\(193\) −4.43606 + 3.72230i −0.319315 + 0.267937i −0.788329 0.615254i \(-0.789054\pi\)
0.469015 + 0.883190i \(0.344609\pi\)
\(194\) 0.230583 0.387297i 0.0165549 0.0278063i
\(195\) 3.33046 2.35536i 0.238499 0.168671i
\(196\) 1.47690 1.17325i 0.105493 0.0838038i
\(197\) 9.24232 + 5.33605i 0.658488 + 0.380178i 0.791701 0.610909i \(-0.209196\pi\)
−0.133213 + 0.991087i \(0.542529\pi\)
\(198\) −15.3899 + 40.5821i −1.09371 + 2.88405i
\(199\) −9.82167 1.73183i −0.696240 0.122766i −0.185683 0.982610i \(-0.559450\pi\)
−0.510557 + 0.859844i \(0.670561\pi\)
\(200\) 8.75198 + 11.1087i 0.618859 + 0.785502i
\(201\) 6.74932 + 11.6902i 0.476060 + 0.824560i
\(202\) 0.490995 + 3.02085i 0.0345463 + 0.212546i
\(203\) 3.92793 4.68112i 0.275686 0.328550i
\(204\) −21.1295 + 34.4313i −1.47936 + 2.41067i
\(205\) 2.63938 10.0383i 0.184342 0.701106i
\(206\) −24.0151 4.56728i −1.67321 0.318217i
\(207\) 1.70216 + 9.65343i 0.118308 + 0.670960i
\(208\) −2.07899 0.885585i −0.144152 0.0614043i
\(209\) 4.78564 17.3636i 0.331030 1.20106i
\(210\) −2.25826 28.6907i −0.155834 1.97985i
\(211\) 3.26254 + 18.5028i 0.224602 + 1.27378i 0.863444 + 0.504445i \(0.168303\pi\)
−0.638841 + 0.769339i \(0.720586\pi\)
\(212\) 7.39521 + 13.6409i 0.507905 + 0.936859i
\(213\) 5.12953 + 14.0933i 0.351470 + 0.965656i
\(214\) 2.05879 + 5.90146i 0.140736 + 0.403416i
\(215\) −4.84643 17.7538i −0.330524 1.21080i
\(216\) −1.62593 + 40.4045i −0.110631 + 2.74918i
\(217\) 7.00965 + 12.1411i 0.475846 + 0.824189i
\(218\) 21.9174 12.2652i 1.48443 0.830705i
\(219\) 0.213507 1.21086i 0.0144275 0.0818224i
\(220\) −5.17640 + 17.7391i −0.348993 + 1.19597i
\(221\) 3.06033 + 1.76688i 0.205860 + 0.118853i
\(222\) −0.272870 + 20.3522i −0.0183138 + 1.36595i
\(223\) −3.57954 + 9.83471i −0.239704 + 0.658581i 0.760256 + 0.649624i \(0.225073\pi\)
−0.999960 + 0.00895738i \(0.997149\pi\)
\(224\) −12.8721 + 9.40689i −0.860050 + 0.628524i
\(225\) −32.3343 18.2661i −2.15562 1.21774i
\(226\) −5.98171 5.15747i −0.397898 0.343070i
\(227\) 12.5473i 0.832797i −0.909182 0.416398i \(-0.863292\pi\)
0.909182 0.416398i \(-0.136708\pi\)
\(228\) −1.50019 28.1111i −0.0993525 1.86170i
\(229\) −22.9214 −1.51469 −0.757343 0.653017i \(-0.773503\pi\)
−0.757343 + 0.653017i \(0.773503\pi\)
\(230\) 1.04498 + 4.04049i 0.0689039 + 0.266422i
\(231\) 28.8070 24.1719i 1.89536 1.59040i
\(232\) −4.12768 + 4.53556i −0.270995 + 0.297774i
\(233\) −9.61700 + 26.4225i −0.630031 + 1.73100i 0.0509574 + 0.998701i \(0.483773\pi\)
−0.680988 + 0.732294i \(0.738449\pi\)
\(234\) 5.93351 + 0.0795526i 0.387886 + 0.00520052i
\(235\) 7.80958 3.68634i 0.509441 0.240470i
\(236\) 17.1912 5.73999i 1.11905 0.373641i
\(237\) −27.4246 4.83569i −1.78142 0.314112i
\(238\) 21.7565 12.1752i 1.41026 0.789199i
\(239\) 1.00859 0.582307i 0.0652400 0.0376663i −0.467025 0.884244i \(-0.654674\pi\)
0.532265 + 0.846578i \(0.321341\pi\)
\(240\) 1.10675 + 28.8612i 0.0714406 + 1.86298i
\(241\) 4.91649 5.85924i 0.316699 0.377427i −0.584087 0.811691i \(-0.698547\pi\)
0.900785 + 0.434264i \(0.142992\pi\)
\(242\) −8.10987 + 2.82921i −0.521322 + 0.181869i
\(243\) −11.7090 32.1702i −0.751132 2.06372i
\(244\) 8.07264 + 14.8904i 0.516798 + 0.953262i
\(245\) −0.882263 + 1.91541i −0.0563657 + 0.122371i
\(246\) 16.4198 13.4069i 1.04689 0.854791i
\(247\) −2.45460 + 0.197107i −0.156182 + 0.0125416i
\(248\) −6.53910 12.4575i −0.415233 0.791051i
\(249\) −5.36003 + 0.945118i −0.339678 + 0.0598944i
\(250\) −14.3344 6.67274i −0.906586 0.422021i
\(251\) −1.82431 5.01226i −0.115150 0.316371i 0.868708 0.495325i \(-0.164951\pi\)
−0.983857 + 0.178954i \(0.942729\pi\)
\(252\) 21.8975 35.6828i 1.37941 2.24780i
\(253\) −3.50528 + 4.17743i −0.220375 + 0.262633i
\(254\) −13.3860 + 2.17570i −0.839912 + 0.136515i
\(255\) 3.72548 45.0120i 0.233298 2.81876i
\(256\) 13.2872 8.91346i 0.830451 0.557092i
\(257\) −0.569709 + 3.23098i −0.0355375 + 0.201543i −0.997407 0.0719651i \(-0.977073\pi\)
0.961870 + 0.273508i \(0.0881841\pi\)
\(258\) 13.3272 35.1429i 0.829714 2.18790i
\(259\) 6.28078 10.8786i 0.390269 0.675965i
\(260\) 2.52111 0.164462i 0.156353 0.0101995i
\(261\) 5.50794 15.1329i 0.340933 0.936705i
\(262\) 17.1565 + 10.2144i 1.05993 + 0.631049i
\(263\) 8.51164 7.14211i 0.524850 0.440401i −0.341469 0.939893i \(-0.610924\pi\)
0.866319 + 0.499492i \(0.166480\pi\)
\(264\) −29.8620 + 23.0763i −1.83788 + 1.42025i
\(265\) −14.2571 9.88367i −0.875810 0.607149i
\(266\) −7.66426 + 15.5916i −0.469926 + 0.955980i
\(267\) 28.3153 1.73287
\(268\) −0.224144 + 8.35749i −0.0136918 + 0.510515i
\(269\) −10.2372 12.2002i −0.624173 0.743860i 0.357609 0.933871i \(-0.383592\pi\)
−0.981782 + 0.190011i \(0.939148\pi\)
\(270\) −18.7487 41.1393i −1.14101 2.50366i
\(271\) −9.24854 + 25.4102i −0.561809 + 1.54356i 0.255173 + 0.966895i \(0.417867\pi\)
−0.816982 + 0.576662i \(0.804355\pi\)
\(272\) −22.3079 + 11.3309i −1.35262 + 0.687036i
\(273\) −4.45259 2.57070i −0.269483 0.155586i
\(274\) −1.62452 + 4.28375i −0.0981407 + 0.258791i
\(275\) −3.77820 20.3116i −0.227834 1.22484i
\(276\) −3.12885 + 7.92832i −0.188335 + 0.477229i
\(277\) −26.1346 + 15.0888i −1.57028 + 0.906600i −0.574142 + 0.818756i \(0.694664\pi\)
−0.996134 + 0.0878440i \(0.972002\pi\)
\(278\) −10.8317 + 1.76053i −0.649641 + 0.105590i
\(279\) 28.3023 + 23.7484i 1.69441 + 1.42178i
\(280\) 8.10222 15.8770i 0.484200 0.948830i
\(281\) 7.77420 + 21.3594i 0.463770 + 1.27420i 0.922629 + 0.385688i \(0.126036\pi\)
−0.458859 + 0.888509i \(0.651742\pi\)
\(282\) 17.3265 + 3.29521i 1.03178 + 0.196227i
\(283\) 1.45601 + 8.25746i 0.0865510 + 0.490855i 0.997011 + 0.0772584i \(0.0246166\pi\)
−0.910460 + 0.413597i \(0.864272\pi\)
\(284\) −1.85769 + 9.10133i −0.110234 + 0.540065i
\(285\) 15.6701 + 27.2956i 0.928218 + 1.61685i
\(286\) 2.08789 + 2.55711i 0.123460 + 0.151205i
\(287\) −12.8836 + 2.27173i −0.760496 + 0.134096i
\(288\) −23.3979 + 34.8978i −1.37874 + 2.05637i
\(289\) 20.7925 7.56787i 1.22309 0.445169i
\(290\) 1.83226 6.60712i 0.107594 0.387984i
\(291\) −0.661557 + 0.788413i −0.0387812 + 0.0462176i
\(292\) 0.504964 0.570030i 0.0295508 0.0333585i
\(293\) −12.4273 21.5247i −0.726009 1.25748i −0.958557 0.284900i \(-0.908040\pi\)
0.232548 0.972585i \(-0.425294\pi\)
\(294\) −3.75839 + 2.10324i −0.219194 + 0.122663i
\(295\) −14.2611 + 14.3954i −0.830311 + 0.838133i
\(296\) −6.73712 + 10.6553i −0.391587 + 0.619324i
\(297\) 29.5370 51.1597i 1.71391 2.96858i
\(298\) −11.9907 0.160763i −0.694602 0.00931277i
\(299\) 0.700614 + 0.255003i 0.0405175 + 0.0147472i
\(300\) −15.6557 28.2425i −0.903882 1.63058i
\(301\) −17.7689 + 14.9099i −1.02418 + 0.859393i
\(302\) −6.84174 5.89900i −0.393698 0.339449i
\(303\) 6.98818i 0.401461i
\(304\) 8.31460 15.3254i 0.476875 0.878971i
\(305\) −15.5632 10.7891i −0.891144 0.617780i
\(306\) 42.9045 49.7612i 2.45268 2.84466i
\(307\) 12.0828 + 14.3997i 0.689602 + 0.821835i 0.991307 0.131566i \(-0.0420004\pi\)
−0.301706 + 0.953401i \(0.597556\pi\)
\(308\) 23.0372 3.42803i 1.31267 0.195330i
\(309\) 52.4515 + 19.0908i 2.98386 + 1.08604i
\(310\) 12.8062 + 9.13440i 0.727343 + 0.518799i
\(311\) −19.6340 11.3357i −1.11334 0.642789i −0.173650 0.984807i \(-0.555556\pi\)
−0.939693 + 0.342019i \(0.888889\pi\)
\(312\) 4.36116 + 2.75748i 0.246902 + 0.156112i
\(313\) 8.60598 + 1.51747i 0.486439 + 0.0857723i 0.411489 0.911415i \(-0.365009\pi\)
0.0749505 + 0.997187i \(0.476120\pi\)
\(314\) −4.14161 + 2.31769i −0.233724 + 0.130795i
\(315\) −3.86089 + 46.6481i −0.217537 + 2.62832i
\(316\) −12.9105 11.4368i −0.726273 0.643372i
\(317\) −18.1129 15.1985i −1.01732 0.853635i −0.0280342 0.999607i \(-0.508925\pi\)
−0.989289 + 0.145972i \(0.953369\pi\)
\(318\) −11.6703 33.4525i −0.654435 1.87592i
\(319\) 8.41875 3.06418i 0.471360 0.171561i
\(320\) −8.76528 + 15.5939i −0.489994 + 0.871726i
\(321\) −2.47823 14.0547i −0.138321 0.784459i
\(322\) 4.07453 3.32688i 0.227065 0.185400i
\(323\) −15.7979 + 22.2225i −0.879019 + 1.23649i
\(324\) 9.55304 46.8030i 0.530724 2.60017i
\(325\) −2.43289 + 1.43522i −0.134953 + 0.0796114i
\(326\) −1.27986 + 6.72961i −0.0708851 + 0.372719i
\(327\) −53.8898 + 19.6143i −2.98011 + 1.08467i
\(328\) 13.0109 1.75812i 0.718407 0.0970761i
\(329\) −8.33818 6.99657i −0.459699 0.385733i
\(330\) 18.1646 38.0837i 0.999928 2.09644i
\(331\) 4.63548 + 8.02889i 0.254789 + 0.441308i 0.964838 0.262844i \(-0.0846606\pi\)
−0.710049 + 0.704152i \(0.751327\pi\)
\(332\) −3.13565 1.23746i −0.172091 0.0679144i
\(333\) 5.74851 32.6014i 0.315016 1.78655i
\(334\) −6.22887 + 16.4251i −0.340829 + 0.898743i
\(335\) −3.99002 8.45293i −0.217998 0.461833i
\(336\) 32.4566 16.4857i 1.77065 0.899371i
\(337\) 25.9347 + 9.43947i 1.41275 + 0.514201i 0.931937 0.362620i \(-0.118118\pi\)
0.480817 + 0.876821i \(0.340340\pi\)
\(338\) −9.17412 + 15.4092i −0.499006 + 0.838150i
\(339\) 11.5922 + 13.8150i 0.629600 + 0.750328i
\(340\) 16.5482 22.5543i 0.897452 1.22318i
\(341\) 20.5538i 1.11305i
\(342\) −4.92660 + 45.5197i −0.266400 + 2.46142i
\(343\) −17.0705 −0.921719
\(344\) 18.4197 14.2341i 0.993123 0.767451i
\(345\) −0.875042 9.48916i −0.0471107 0.510879i
\(346\) −3.08237 + 5.17727i −0.165709 + 0.278332i
\(347\) −20.0651 7.30310i −1.07715 0.392051i −0.258305 0.966063i \(-0.583164\pi\)
−0.818847 + 0.574012i \(0.805386\pi\)
\(348\) 10.9643 8.71008i 0.587749 0.466909i
\(349\) −5.82027 + 10.0810i −0.311552 + 0.539624i −0.978699 0.205303i \(-0.934182\pi\)
0.667147 + 0.744926i \(0.267515\pi\)
\(350\) −0.0803078 + 19.9286i −0.00429263 + 1.06523i
\(351\) −7.95402 1.40251i −0.424554 0.0748603i
\(352\) −23.2392 + 2.50789i −1.23866 + 0.133671i
\(353\) 28.5481 16.4823i 1.51946 0.877263i 0.519726 0.854333i \(-0.326034\pi\)
0.999737 0.0229297i \(-0.00729939\pi\)
\(354\) −40.8477 + 6.63920i −2.17103 + 0.352870i
\(355\) −2.73494 10.0188i −0.145156 0.531744i
\(356\) 14.9472 + 9.17269i 0.792201 + 0.486151i
\(357\) −53.4942 + 19.4703i −2.83121 + 1.03048i
\(358\) 2.40726 12.6575i 0.127228 0.668972i
\(359\) −10.3595 + 1.82666i −0.546753 + 0.0964073i −0.440200 0.897900i \(-0.645093\pi\)
−0.106553 + 0.994307i \(0.533981\pi\)
\(360\) 5.75393 46.6212i 0.303259 2.45715i
\(361\) 0.271212 18.9981i 0.0142743 0.999898i
\(362\) −5.32998 6.52779i −0.280138 0.343093i
\(363\) 19.3142 3.40562i 1.01373 0.178749i
\(364\) −1.51768 2.79944i −0.0795481 0.146731i
\(365\) −0.216504 + 0.823425i −0.0113323 + 0.0431001i
\(366\) −12.7393 36.5169i −0.665893 1.90877i
\(367\) 5.52473 + 4.63580i 0.288388 + 0.241987i 0.775492 0.631358i \(-0.217502\pi\)
−0.487103 + 0.873344i \(0.661946\pi\)
\(368\) −4.22004 + 3.17166i −0.219985 + 0.165334i
\(369\) −29.8579 + 17.2384i −1.55434 + 0.897397i
\(370\) 1.35078 14.0296i 0.0702235 0.729363i
\(371\) −3.79691 + 21.5333i −0.197126 + 1.11795i
\(372\) 10.1743 + 30.4718i 0.527511 + 1.57989i
\(373\) −7.45991 + 12.9209i −0.386260 + 0.669021i −0.991943 0.126684i \(-0.959566\pi\)
0.605683 + 0.795706i \(0.292900\pi\)
\(374\) 36.5490 + 0.490025i 1.88990 + 0.0253386i
\(375\) 29.8621 + 20.2898i 1.54207 + 1.04776i
\(376\) 8.07890 + 7.35237i 0.416637 + 0.379170i
\(377\) −0.787349 0.938326i −0.0405506 0.0483263i
\(378\) −37.2099 + 43.1566i −1.91387 + 2.21974i
\(379\) −2.02304 −0.103916 −0.0519582 0.998649i \(-0.516546\pi\)
−0.0519582 + 0.998649i \(0.516546\pi\)
\(380\) −0.570342 + 19.4852i −0.0292579 + 0.999572i
\(381\) 30.9660 1.58644
\(382\) 12.5067 14.5055i 0.639900 0.742165i
\(383\) 11.9189 + 14.2044i 0.609027 + 0.725810i 0.979142 0.203176i \(-0.0651262\pi\)
−0.370115 + 0.928986i \(0.620682\pi\)
\(384\) −33.2116 + 15.2216i −1.69482 + 0.776774i
\(385\) −21.2605 + 15.0358i −1.08353 + 0.766294i
\(386\) 8.18879 + 0.109790i 0.416798 + 0.00558816i
\(387\) −30.5646 + 52.9394i −1.55369 + 2.69106i
\(388\) −0.604631 + 0.201881i −0.0306955 + 0.0102490i
\(389\) 1.53823 8.72375i 0.0779915 0.442312i −0.920659 0.390369i \(-0.872348\pi\)
0.998650 0.0519429i \(-0.0165414\pi\)
\(390\) −5.74227 0.552868i −0.290771 0.0279956i
\(391\) 7.14928 4.12764i 0.361555 0.208744i
\(392\) −2.66534 0.107257i −0.134620 0.00541728i
\(393\) −34.9253 29.3058i −1.76175 1.47828i
\(394\) −4.97139 14.2504i −0.250455 0.717923i
\(395\) 18.6496 + 4.90355i 0.938364 + 0.246724i
\(396\) 53.9604 29.2539i 2.71161 1.47006i
\(397\) 11.5311 2.03325i 0.578730 0.102046i 0.123382 0.992359i \(-0.460626\pi\)
0.455348 + 0.890314i \(0.349515\pi\)
\(398\) 8.92036 + 10.9250i 0.447137 + 0.547622i
\(399\) 22.9850 32.3323i 1.15069 1.61864i
\(400\) 0.884699 19.9804i 0.0442349 0.999021i
\(401\) 34.3828 6.06262i 1.71700 0.302753i 0.773417 0.633897i \(-0.218546\pi\)
0.943580 + 0.331144i \(0.107435\pi\)
\(402\) 3.56667 18.7538i 0.177889 0.935355i
\(403\) 2.64068 0.961130i 0.131542 0.0478773i
\(404\) 2.26381 3.68896i 0.112629 0.183532i
\(405\) 14.0643 + 51.5211i 0.698858 + 2.56010i
\(406\) −8.52999 + 1.38643i −0.423337 + 0.0688072i
\(407\) 15.9492 9.20830i 0.790575 0.456439i
\(408\) 54.4277 17.3655i 2.69457 0.859720i
\(409\) −2.58551 0.455896i −0.127845 0.0225426i 0.109359 0.994002i \(-0.465120\pi\)
−0.237205 + 0.971460i \(0.576231\pi\)
\(410\) −12.0971 + 8.31429i −0.597435 + 0.410613i
\(411\) 5.23051 9.05951i 0.258002 0.446873i
\(412\) 21.5039 + 27.0693i 1.05942 + 1.33361i
\(413\) 23.9998 + 8.73522i 1.18095 + 0.429832i
\(414\) 7.09163 11.9114i 0.348535 0.585412i
\(415\) 3.75296 0.346079i 0.184226 0.0169884i
\(416\) 1.40891 + 2.86842i 0.0690775 + 0.140636i
\(417\) 25.0571 1.22705
\(418\) −21.1607 + 14.1781i −1.03500 + 0.693473i
\(419\) 3.72399i 0.181929i −0.995854 0.0909645i \(-0.971005\pi\)
0.995854 0.0909645i \(-0.0289950\pi\)
\(420\) −24.0766 + 32.8151i −1.17482 + 1.60122i
\(421\) 18.6137 + 22.1829i 0.907176 + 1.08113i 0.996371 + 0.0851165i \(0.0271262\pi\)
−0.0891946 + 0.996014i \(0.528429\pi\)
\(422\) 13.5926 22.8306i 0.661676 1.11138i
\(423\) −26.9553 9.81094i −1.31061 0.477024i
\(424\) 4.67632 21.4396i 0.227102 1.04120i
\(425\) −5.14194 + 30.8502i −0.249421 + 1.49645i
\(426\) 7.52080 19.8319i 0.364384 0.960857i
\(427\) −4.14472 + 23.5059i −0.200577 + 1.13753i
\(428\) 3.24479 8.22211i 0.156843 0.397430i
\(429\) −3.76893 6.52798i −0.181966 0.315174i
\(430\) −11.2044 + 23.4910i −0.540324 + 1.13284i
\(431\) −10.2374 8.59023i −0.493120 0.413777i 0.362023 0.932169i \(-0.382086\pi\)
−0.855143 + 0.518392i \(0.826531\pi\)
\(432\) 39.0542 41.7744i 1.87900 2.00987i
\(433\) 24.4274 8.89084i 1.17391 0.427267i 0.319860 0.947465i \(-0.396364\pi\)
0.854046 + 0.520198i \(0.174142\pi\)
\(434\) 3.70424 19.4772i 0.177809 0.934934i
\(435\) −6.54981 + 14.2198i −0.314039 + 0.681787i
\(436\) −34.8016 7.10342i −1.66670 0.340192i
\(437\) −2.46834 + 5.19622i −0.118077 + 0.248569i
\(438\) −1.34689 + 1.09974i −0.0643568 + 0.0525477i
\(439\) −2.44945 13.8915i −0.116906 0.663006i −0.985789 0.167989i \(-0.946273\pi\)
0.868883 0.495018i \(-0.164838\pi\)
\(440\) 21.9260 14.2194i 1.04528 0.677884i
\(441\) 6.58234 2.39578i 0.313445 0.114085i
\(442\) −1.64613 4.71860i −0.0782986 0.224441i
\(443\) −6.99146 5.86653i −0.332174 0.278727i 0.461411 0.887187i \(-0.347343\pi\)
−0.793585 + 0.608459i \(0.791788\pi\)
\(444\) 19.0872 21.5466i 0.905837 1.02256i
\(445\) −19.5405 1.61729i −0.926308 0.0766671i
\(446\) 12.9161 7.22799i 0.611595 0.342255i
\(447\) 26.9654 + 4.75474i 1.27542 + 0.224891i
\(448\) 22.4739 + 1.81169i 1.06179 + 0.0855944i
\(449\) −31.8056 18.3629i −1.50100 0.866601i −0.999999 0.00115263i \(-0.999633\pi\)
−0.500998 0.865449i \(-0.667034\pi\)
\(450\) 17.7637 + 49.4243i 0.837391 + 2.32988i
\(451\) −18.0235 6.56001i −0.848692 0.308899i
\(452\) 1.64398 + 11.0480i 0.0773264 + 0.519654i
\(453\) 13.2588 + 15.8013i 0.622955 + 0.742409i
\(454\) −11.5872 + 13.4390i −0.543816 + 0.630726i
\(455\) 2.92592 + 2.02837i 0.137169 + 0.0950916i
\(456\) −24.3532 + 31.4942i −1.14044 + 1.47485i
\(457\) 36.2675i 1.69652i −0.529580 0.848260i \(-0.677650\pi\)
0.529580 0.848260i \(-0.322350\pi\)
\(458\) 24.5503 + 21.1674i 1.14716 + 0.989089i
\(459\) −68.5059 + 57.4833i −3.19758 + 2.68309i
\(460\) 2.61208 5.29265i 0.121789 0.246771i
\(461\) −7.69281 2.79995i −0.358290 0.130407i 0.156602 0.987662i \(-0.449946\pi\)
−0.514892 + 0.857255i \(0.672168\pi\)
\(462\) −53.1765 0.712956i −2.47400 0.0331697i
\(463\) 12.7076 22.0102i 0.590572 1.02290i −0.403584 0.914943i \(-0.632236\pi\)
0.994156 0.107958i \(-0.0344311\pi\)
\(464\) 8.60951 1.04605i 0.399687 0.0485617i
\(465\) −25.5162 25.2780i −1.18328 1.17224i
\(466\) 34.7011 19.4191i 1.60750 0.899574i
\(467\) −12.3795 21.4419i −0.572855 0.992215i −0.996271 0.0862791i \(-0.972502\pi\)
0.423416 0.905936i \(-0.360831\pi\)
\(468\) −6.28172 5.56469i −0.290372 0.257228i
\(469\) −7.57294 + 9.02508i −0.349686 + 0.416739i
\(470\) −11.7688 3.26368i −0.542857 0.150542i
\(471\) 10.1833 3.70641i 0.469220 0.170782i
\(472\) −23.7137 9.72782i −1.09151 0.447759i
\(473\) −33.4907 + 5.90532i −1.53991 + 0.271527i
\(474\) 24.9079 + 30.5054i 1.14406 + 1.40116i
\(475\) −9.25496 19.7318i −0.424647 0.905359i
\(476\) −34.5462 7.05128i −1.58342 0.323195i
\(477\) 10.0062 + 56.7482i 0.458155 + 2.59832i
\(478\) −1.61801 0.307720i −0.0740061 0.0140748i
\(479\) 6.91009 + 18.9853i 0.315730 + 0.867462i 0.991472 + 0.130323i \(0.0416014\pi\)
−0.675741 + 0.737139i \(0.736176\pi\)
\(480\) 25.4673 31.9343i 1.16242 1.45759i
\(481\) −1.92886 1.61851i −0.0879486 0.0737977i
\(482\) −10.6768 + 1.73535i −0.486314 + 0.0790432i
\(483\) −10.4018 + 6.00547i −0.473297 + 0.273258i
\(484\) 11.2989 + 4.45903i 0.513588 + 0.202683i
\(485\) 0.501575 0.506301i 0.0227754 0.0229899i
\(486\) −17.1675 + 45.2695i −0.778731 + 2.05346i
\(487\) 11.3667 + 6.56258i 0.515075 + 0.297379i 0.734917 0.678157i \(-0.237221\pi\)
−0.219842 + 0.975535i \(0.570554\pi\)
\(488\) 5.10469 23.4036i 0.231079 1.05943i
\(489\) 5.34971 14.6982i 0.241922 0.664676i
\(490\) 2.71381 1.23678i 0.122597 0.0558721i
\(491\) −3.70027 4.40981i −0.166991 0.199012i 0.676059 0.736848i \(-0.263687\pi\)
−0.843050 + 0.537836i \(0.819242\pi\)
\(492\) −29.9677 0.803719i −1.35105 0.0362344i
\(493\) −13.5625 −0.610823
\(494\) 2.81106 + 2.05566i 0.126476 + 0.0924885i
\(495\) −39.0977 + 56.3983i −1.75731 + 2.53491i
\(496\) −4.50043 + 19.3815i −0.202075 + 0.870256i
\(497\) −10.0274 + 8.41397i −0.449789 + 0.377418i
\(498\) 6.61375 + 3.93760i 0.296369 + 0.176448i
\(499\) 11.3368 31.1477i 0.507506 1.39436i −0.376295 0.926500i \(-0.622802\pi\)
0.883801 0.467863i \(-0.154976\pi\)
\(500\) 9.19093 + 20.3845i 0.411031 + 0.911621i
\(501\) 20.0553 34.7368i 0.896005 1.55193i
\(502\) −2.67476 + 7.05318i −0.119381 + 0.314799i
\(503\) 4.01368 22.7627i 0.178961 1.01494i −0.754510 0.656288i \(-0.772126\pi\)
0.933472 0.358651i \(-0.116763\pi\)
\(504\) −56.4061 + 17.9967i −2.51253 + 0.801636i
\(505\) −0.399147 + 4.82258i −0.0177618 + 0.214602i
\(506\) 7.61216 1.23724i 0.338402 0.0550022i
\(507\) 26.3211 31.3682i 1.16896 1.39311i
\(508\) 16.3465 + 10.0314i 0.725258 + 0.445071i
\(509\) −6.80201 18.6884i −0.301494 0.828348i −0.994241 0.107167i \(-0.965822\pi\)
0.692747 0.721181i \(-0.256400\pi\)
\(510\) −45.5580 + 44.7705i −2.01734 + 1.98247i
\(511\) 1.05682 0.186346i 0.0467510 0.00824347i
\(512\) −22.4629 2.72358i −0.992730 0.120366i
\(513\) 16.5583 60.0778i 0.731066 2.65250i
\(514\) 3.59395 2.93448i 0.158522 0.129434i
\(515\) −35.1066 16.1705i −1.54698 0.712559i
\(516\) −46.7281 + 25.3330i −2.05709 + 1.11522i
\(517\) −5.45802 14.9958i −0.240043 0.659514i
\(518\) −16.7733 + 5.85156i −0.736978 + 0.257103i
\(519\) 8.84351 10.5393i 0.388187 0.462623i
\(520\) −2.85216 2.15205i −0.125075 0.0943735i
\(521\) −27.8255 + 16.0650i −1.21906 + 0.703822i −0.964716 0.263292i \(-0.915192\pi\)
−0.254340 + 0.967115i \(0.581858\pi\)
\(522\) −19.8743 + 11.1219i −0.869876 + 0.486792i
\(523\) 16.4500 + 2.90057i 0.719307 + 0.126833i 0.521308 0.853369i \(-0.325444\pi\)
0.197999 + 0.980202i \(0.436556\pi\)
\(524\) −8.94297 26.7841i −0.390675 1.17007i
\(525\) 7.48120 44.8852i 0.326507 1.95895i
\(526\) −15.7121 0.210658i −0.685081 0.00918512i
\(527\) 10.6419 29.2385i 0.463570 1.27365i
\(528\) 53.2947 + 2.86073i 2.31936 + 0.124497i
\(529\) −16.2848 + 13.6645i −0.708033 + 0.594110i
\(530\) 6.14297 + 23.7523i 0.266834 + 1.03173i
\(531\) 67.3075 2.92090
\(532\) 22.6074 9.62181i 0.980157 0.417158i
\(533\) 2.62235i 0.113587i
\(534\) −30.3275 26.1486i −1.31240 1.13156i
\(535\) 0.907467 + 9.84079i 0.0392332 + 0.425454i
\(536\) 7.95805 8.74443i 0.343736 0.377702i
\(537\) −10.0621 + 27.6455i −0.434213 + 1.19299i
\(538\) −0.301948 + 22.5211i −0.0130179 + 0.970953i
\(539\) 3.37482 + 1.94845i 0.145364 + 0.0839257i
\(540\) −17.9103 + 61.3770i −0.770736 + 2.64125i
\(541\) 6.44890 36.5735i 0.277260 1.57242i −0.454431 0.890782i \(-0.650157\pi\)
0.731691 0.681637i \(-0.238732\pi\)
\(542\) 33.3716 18.6751i 1.43343 0.802165i
\(543\) 9.62134 + 16.6646i 0.412891 + 0.715148i
\(544\) 34.3571 + 8.46479i 1.47305 + 0.362925i
\(545\) 38.3099 10.4579i 1.64102 0.447966i
\(546\) 2.39502 + 6.86528i 0.102498 + 0.293807i
\(547\) −15.0468 41.3406i −0.643353 1.76760i −0.640930 0.767600i \(-0.721451\pi\)
−0.00242311 0.999997i \(-0.500771\pi\)
\(548\) 5.69592 3.08797i 0.243318 0.131911i
\(549\) 10.9229 + 61.9466i 0.466176 + 2.64382i
\(550\) −14.7107 + 25.2442i −0.627266 + 1.07642i
\(551\) 7.78030 5.36547i 0.331452 0.228577i
\(552\) 10.6729 5.60232i 0.454267 0.238451i
\(553\) −4.22052 23.9357i −0.179475 1.01785i
\(554\) 41.9261 + 7.97368i 1.78127 + 0.338769i
\(555\) −8.18364 + 31.1247i −0.347376 + 1.32117i
\(556\) 13.2273 + 8.11720i 0.560961 + 0.344246i
\(557\) −10.6145 + 12.6498i −0.449749 + 0.535990i −0.942511 0.334174i \(-0.891543\pi\)
0.492762 + 0.870164i \(0.335987\pi\)
\(558\) −8.38240 51.5728i −0.354855 2.18325i
\(559\) 2.32478 + 4.02663i 0.0983276 + 0.170308i
\(560\) −23.3401 + 9.52305i −0.986299 + 0.402422i
\(561\) −82.1937 14.4930i −3.47022 0.611894i
\(562\) 11.3983 30.0567i 0.480810 1.26787i
\(563\) −7.00421 4.04388i −0.295192 0.170429i 0.345089 0.938570i \(-0.387849\pi\)
−0.640281 + 0.768141i \(0.721182\pi\)
\(564\) −15.5147 19.5300i −0.653288 0.822363i
\(565\) −7.21072 10.1959i −0.303357 0.428945i
\(566\) 6.06612 10.1889i 0.254978 0.428271i
\(567\) 51.5651 43.2683i 2.16553 1.81710i
\(568\) 10.3946 8.03259i 0.436148 0.337040i
\(569\) 28.6825i 1.20243i 0.799086 + 0.601217i \(0.205317\pi\)
−0.799086 + 0.601217i \(0.794683\pi\)
\(570\) 8.42323 43.7065i 0.352810 1.83066i
\(571\) 38.2969i 1.60268i −0.598212 0.801338i \(-0.704122\pi\)
0.598212 0.801338i \(-0.295878\pi\)
\(572\) 0.125166 4.66696i 0.00523344 0.195135i
\(573\) −33.5010 + 28.1107i −1.39952 + 1.17434i
\(574\) 15.8971 + 9.46461i 0.663533 + 0.395045i
\(575\) 0.0618745 + 6.59849i 0.00258034 + 0.275176i
\(576\) 57.2882 15.7703i 2.38701 0.657095i
\(577\) 36.5884 + 21.1243i 1.52319 + 0.879416i 0.999624 + 0.0274329i \(0.00873327\pi\)
0.523569 + 0.851983i \(0.324600\pi\)
\(578\) −29.2590 11.0958i −1.21701 0.461526i
\(579\) −18.4155 3.24715i −0.765321 0.134947i
\(580\) −8.06402 + 5.38461i −0.334840 + 0.223584i
\(581\) −2.37516 4.11390i −0.0985383 0.170673i
\(582\) 1.43666 0.233507i 0.0595513 0.00967920i
\(583\) −20.6060 + 24.5572i −0.853412 + 1.01706i
\(584\) −1.06726 + 0.144216i −0.0441636 + 0.00596769i
\(585\) 9.07413 + 2.38586i 0.375169 + 0.0986433i
\(586\) −6.56718 + 34.5307i −0.271288 + 1.42645i
\(587\) 4.73543 + 26.8560i 0.195452 + 1.10846i 0.911774 + 0.410693i \(0.134713\pi\)
−0.716321 + 0.697770i \(0.754176\pi\)
\(588\) 5.96778 + 1.21809i 0.246107 + 0.0502334i
\(589\) 5.46220 + 20.9831i 0.225066 + 0.864595i
\(590\) 28.5684 2.24863i 1.17614 0.0925745i
\(591\) 5.98423 + 33.9383i 0.246158 + 1.39603i
\(592\) 17.0558 5.19088i 0.700990 0.213344i
\(593\) −0.991493 2.72410i −0.0407157 0.111866i 0.917669 0.397347i \(-0.130069\pi\)
−0.958384 + 0.285481i \(0.907847\pi\)
\(594\) −78.8811 + 27.5185i −3.23653 + 1.12910i
\(595\) 38.0287 10.3811i 1.55902 0.425583i
\(596\) 12.6944 + 11.2454i 0.519981 + 0.460628i
\(597\) −16.1024 27.8903i −0.659029 1.14147i
\(598\) −0.514914 0.920128i −0.0210564 0.0376268i
\(599\) 5.81693 32.9894i 0.237673 1.34791i −0.599237 0.800572i \(-0.704529\pi\)
0.836910 0.547340i \(-0.184360\pi\)
\(600\) −9.31311 + 44.7073i −0.380206 + 1.82517i
\(601\) 33.7143 + 19.4649i 1.37523 + 0.793991i 0.991581 0.129486i \(-0.0413329\pi\)
0.383652 + 0.923478i \(0.374666\pi\)
\(602\) 32.8007 + 0.439770i 1.33686 + 0.0179237i
\(603\) −10.6192 + 29.1759i −0.432446 + 1.18813i
\(604\) 1.88035 + 12.6364i 0.0765103 + 0.514169i
\(605\) −13.5233 + 1.24705i −0.549802 + 0.0507000i
\(606\) −6.45345 + 7.48481i −0.262154 + 0.304050i
\(607\) 24.9302i 1.01189i 0.862567 + 0.505943i \(0.168855\pi\)
−0.862567 + 0.505943i \(0.831145\pi\)
\(608\) −23.0582 + 8.73613i −0.935133 + 0.354297i
\(609\) 19.7326 0.799604
\(610\) 6.70569 + 25.9281i 0.271505 + 1.04980i
\(611\) −1.67138 + 1.40246i −0.0676169 + 0.0567373i
\(612\) −91.9070 + 13.6761i −3.71512 + 0.552824i
\(613\) −6.75447 + 18.5578i −0.272811 + 0.749541i 0.725319 + 0.688413i \(0.241692\pi\)
−0.998130 + 0.0611284i \(0.980530\pi\)
\(614\) 0.356385 26.5813i 0.0143825 1.07273i
\(615\) 30.3099 14.3071i 1.22221 0.576919i
\(616\) −27.8401 17.6028i −1.12171 0.709237i
\(617\) 41.8944 + 7.38712i 1.68661 + 0.297394i 0.932985 0.359915i \(-0.117194\pi\)
0.753621 + 0.657309i \(0.228305\pi\)
\(618\) −38.5491 68.8855i −1.55067 2.77098i
\(619\) 27.0956 15.6436i 1.08906 0.628771i 0.155737 0.987799i \(-0.450225\pi\)
0.933327 + 0.359027i \(0.116892\pi\)
\(620\) −5.28083 21.6098i −0.212083 0.867871i
\(621\) −12.1282 + 14.4539i −0.486689 + 0.580013i
\(622\) 10.5610 + 30.2729i 0.423459 + 1.21383i
\(623\) 8.45239 + 23.2228i 0.338638 + 0.930400i
\(624\) −2.12461 6.98089i −0.0850525 0.279459i
\(625\) −19.4491 15.7077i −0.777964 0.628309i
\(626\) −7.81623 9.57277i −0.312399 0.382605i
\(627\) 52.8851 24.2027i 2.11203 0.966563i
\(628\) 6.57628 + 1.34230i 0.262422 + 0.0535634i
\(629\) −27.4561 + 4.84124i −1.09474 + 0.193033i
\(630\) 47.2139 46.3978i 1.88105 1.84853i
\(631\) −13.7069 37.6593i −0.545662 1.49919i −0.839511 0.543342i \(-0.817159\pi\)
0.293849 0.955852i \(-0.405064\pi\)
\(632\) 3.26631 + 24.1722i 0.129927 + 0.961519i
\(633\) −38.9979 + 46.4759i −1.55003 + 1.84725i
\(634\) 5.36458 + 33.0056i 0.213055 + 1.31082i
\(635\) −21.3698 1.76870i −0.848034 0.0701886i
\(636\) −18.3931 + 46.6071i −0.729334 + 1.84809i
\(637\) 0.0925183 0.524697i 0.00366571 0.0207893i
\(638\) −11.8467 4.49262i −0.469017 0.177865i
\(639\) −17.2482 + 29.8748i −0.682330 + 1.18183i
\(640\) 23.7889 8.60753i 0.940338 0.340243i
\(641\) 13.6249 37.4341i 0.538151 1.47856i −0.311002 0.950409i \(-0.600665\pi\)
0.849153 0.528147i \(-0.177113\pi\)
\(642\) −10.3249 + 17.3422i −0.407493 + 0.684440i
\(643\) 6.77769 5.68716i 0.267286 0.224280i −0.499287 0.866437i \(-0.666405\pi\)
0.766573 + 0.642157i \(0.221960\pi\)
\(644\) −7.43640 0.199441i −0.293035 0.00785906i
\(645\) 33.8574 48.8392i 1.33313 1.92304i
\(646\) 37.4426 9.21268i 1.47316 0.362468i
\(647\) 6.09219 0.239509 0.119754 0.992804i \(-0.461789\pi\)
0.119754 + 0.992804i \(0.461789\pi\)
\(648\) −53.4536 + 41.3071i −2.09986 + 1.62269i
\(649\) 24.0689 + 28.6842i 0.944786 + 1.12595i
\(650\) 3.93118 + 0.709520i 0.154194 + 0.0278297i
\(651\) −15.4834 + 42.5402i −0.606842 + 1.66728i
\(652\) 7.58549 6.02593i 0.297071 0.235994i
\(653\) −23.5424 13.5922i −0.921285 0.531904i −0.0372401 0.999306i \(-0.511857\pi\)
−0.884045 + 0.467402i \(0.845190\pi\)
\(654\) 75.8330 + 28.7580i 2.96530 + 1.12453i
\(655\) 22.4282 + 22.2189i 0.876342 + 0.868163i
\(656\) −15.5591 10.1323i −0.607482 0.395598i
\(657\) 2.44919 1.41404i 0.0955519 0.0551669i
\(658\) 2.46955 + 15.1939i 0.0962732 + 0.592321i
\(659\) −10.8091 9.06994i −0.421064 0.353315i 0.407504 0.913204i \(-0.366399\pi\)
−0.828568 + 0.559889i \(0.810844\pi\)
\(660\) −54.6250 + 24.0155i −2.12628 + 0.934802i
\(661\) 5.32313 + 14.6252i 0.207046 + 0.568854i 0.999136 0.0415497i \(-0.0132295\pi\)
−0.792091 + 0.610404i \(0.791007\pi\)
\(662\) 2.44962 12.8803i 0.0952071 0.500605i
\(663\) 1.98151 + 11.2377i 0.0769553 + 0.436435i
\(664\) 2.21572 + 4.22111i 0.0859866 + 0.163811i
\(665\) −17.7088 + 20.9998i −0.686717 + 0.814339i
\(666\) −36.2638 + 29.6096i −1.40519 + 1.14735i
\(667\) −2.81803 + 0.496895i −0.109115 + 0.0192399i
\(668\) 21.8398 11.8402i 0.845008 0.458109i
\(669\) −31.7577 + 11.5589i −1.22782 + 0.446892i
\(670\) −3.53254 + 12.7384i −0.136474 + 0.492126i
\(671\) −22.4936 + 26.8068i −0.868354 + 1.03486i
\(672\) −49.9875 12.3158i −1.92831 0.475091i
\(673\) 9.68692 + 16.7782i 0.373403 + 0.646753i 0.990087 0.140458i \(-0.0448575\pi\)
−0.616683 + 0.787211i \(0.711524\pi\)
\(674\) −19.0606 34.0605i −0.734189 1.31196i
\(675\) −13.0725 70.2780i −0.503162 2.70500i
\(676\) 24.0562 8.03215i 0.925238 0.308929i
\(677\) −6.60184 + 11.4347i −0.253729 + 0.439472i −0.964550 0.263902i \(-0.914991\pi\)
0.710820 + 0.703374i \(0.248324\pi\)
\(678\) 0.341913 25.5019i 0.0131311 0.979395i
\(679\) −0.844098 0.307227i −0.0323935 0.0117903i
\(680\) −38.5527 + 8.87523i −1.47843 + 0.340349i
\(681\) 31.0380 26.0440i 1.18938 0.998007i
\(682\) 18.9810 22.0145i 0.726822 0.842979i
\(683\) 22.4030i 0.857226i 0.903488 + 0.428613i \(0.140998\pi\)
−0.903488 + 0.428613i \(0.859002\pi\)
\(684\) 47.3133 44.2050i 1.80907 1.69022i
\(685\) −4.12705 + 5.95326i −0.157687 + 0.227462i
\(686\) 18.2836 + 15.7642i 0.698071 + 0.601882i
\(687\) −47.5769 56.6999i −1.81517 2.16324i
\(688\) −32.8736 1.76458i −1.25329 0.0672739i
\(689\) 4.11860 + 1.49905i 0.156906 + 0.0571092i
\(690\) −7.82583 + 10.9716i −0.297924 + 0.417682i
\(691\) 28.3927 + 16.3925i 1.08011 + 0.623601i 0.930925 0.365209i \(-0.119003\pi\)
0.149182 + 0.988810i \(0.452336\pi\)
\(692\) 8.08253 2.69869i 0.307252 0.102589i
\(693\) 85.1813 + 15.0198i 3.23577 + 0.570553i
\(694\) 14.7468 + 26.3519i 0.559781 + 1.00030i
\(695\) −17.2920 1.43119i −0.655923 0.0542883i
\(696\) −19.7871 0.796259i −0.750028 0.0301821i
\(697\) 22.2425 + 18.6637i 0.842495 + 0.706937i
\(698\) 15.5435 5.42252i 0.588330 0.205245i
\(699\) −85.3221 + 31.0547i −3.22718 + 1.17460i
\(700\) 18.4897 21.2707i 0.698844 0.803956i
\(701\) −3.54608 20.1108i −0.133933 0.759575i −0.975596 0.219571i \(-0.929534\pi\)
0.841663 0.540003i \(-0.181577\pi\)
\(702\) 7.22409 + 8.84756i 0.272656 + 0.333930i
\(703\) 13.8353 13.6392i 0.521808 0.514412i
\(704\) 27.2068 + 18.7749i 1.02539 + 0.707605i
\(705\) 25.3288 + 11.6668i 0.953938 + 0.439395i
\(706\) −45.7980 8.71004i −1.72363 0.327807i
\(707\) 5.73136 2.08604i 0.215550 0.0784537i
\(708\) 49.8818 + 30.6111i 1.87467 + 1.15043i
\(709\) 8.47781 + 7.11373i 0.318391 + 0.267162i 0.787950 0.615739i \(-0.211143\pi\)
−0.469559 + 0.882901i \(0.655587\pi\)
\(710\) −6.32288 + 13.2565i −0.237294 + 0.497507i
\(711\) −32.0263 55.4712i −1.20108 2.08033i
\(712\) −7.53866 23.6280i −0.282523 0.885497i
\(713\) 1.13997 6.46512i 0.0426924 0.242121i
\(714\) 75.2763 + 28.5469i 2.81715 + 1.06834i
\(715\) 2.22809 + 4.72026i 0.0833260 + 0.176528i
\(716\) −14.2673 + 11.3340i −0.533195 + 0.423572i
\(717\) 3.53391 + 1.28624i 0.131976 + 0.0480355i
\(718\) 12.7826 + 7.61032i 0.477042 + 0.284015i
\(719\) −19.8480 23.6539i −0.740204 0.882141i 0.256221 0.966618i \(-0.417522\pi\)
−0.996425 + 0.0844771i \(0.973078\pi\)
\(720\) −49.2167 + 44.6208i −1.83420 + 1.66292i
\(721\) 48.7169i 1.81431i
\(722\) −17.8348 + 20.0977i −0.663744 + 0.747960i
\(723\) 24.6988 0.918557
\(724\) −0.319523 + 11.9138i −0.0118750 + 0.442774i
\(725\) 5.33225 9.43903i 0.198035 0.350557i
\(726\) −23.8318 14.1887i −0.884483 0.526591i
\(727\) 14.8942 + 5.42105i 0.552396 + 0.201056i 0.603111 0.797657i \(-0.293928\pi\)
−0.0507146 + 0.998713i \(0.516150\pi\)
\(728\) −0.959697 + 4.39994i −0.0355687 + 0.163073i
\(729\) 19.4486 33.6860i 0.720320 1.24763i
\(730\) 0.992307 0.682006i 0.0367269 0.0252422i
\(731\) 50.6993 + 8.93965i 1.87518 + 0.330645i
\(732\) −20.0780 + 50.8765i −0.742104 + 1.88045i
\(733\) 32.0492 18.5036i 1.18377 0.683448i 0.226883 0.973922i \(-0.427146\pi\)
0.956883 + 0.290474i \(0.0938131\pi\)
\(734\) −1.63628 10.0672i −0.0603962 0.371588i
\(735\) −6.56938 + 1.79331i −0.242315 + 0.0661473i
\(736\) 7.44890 + 0.500069i 0.274570 + 0.0184328i
\(737\) −16.2311 + 5.90765i −0.597881 + 0.217611i
\(738\) 47.8991 + 9.10964i 1.76319 + 0.335331i
\(739\) 3.25888 0.574628i 0.119880 0.0211380i −0.113386 0.993551i \(-0.536170\pi\)
0.233266 + 0.972413i \(0.425059\pi\)
\(740\) −14.4028 + 13.7792i −0.529458 + 0.506534i
\(741\) −5.58248 5.66274i −0.205077 0.208026i
\(742\) 23.9523 19.5572i 0.879318 0.717969i
\(743\) 20.5822 3.62919i 0.755087 0.133142i 0.217163 0.976135i \(-0.430320\pi\)
0.537924 + 0.842993i \(0.319209\pi\)
\(744\) 17.2428 42.0330i 0.632151 1.54101i
\(745\) −18.3374 4.82146i −0.671830 0.176645i
\(746\) 19.9223 6.95011i 0.729408 0.254462i
\(747\) −9.58999 8.04696i −0.350880 0.294423i
\(748\) −38.6938 34.2771i −1.41479 1.25330i
\(749\) 10.7872 6.22800i 0.394156 0.227566i
\(750\) −13.2471 49.3089i −0.483715 1.80050i
\(751\) −8.00706 + 45.4103i −0.292182 + 1.65705i 0.386259 + 0.922390i \(0.373767\pi\)
−0.678441 + 0.734655i \(0.737344\pi\)
\(752\) −1.86326 15.3356i −0.0679462 0.559231i
\(753\) 8.61203 14.9165i 0.313840 0.543586i
\(754\) −0.0232230 + 1.73211i −0.000845733 + 0.0630798i
\(755\) −8.24746 11.6618i −0.300156 0.424418i
\(756\) 79.7086 11.8609i 2.89897 0.431378i
\(757\) −17.9676 21.4130i −0.653045 0.778269i 0.333325 0.942812i \(-0.391830\pi\)
−0.986370 + 0.164543i \(0.947385\pi\)
\(758\) 2.16681 + 1.86823i 0.0787019 + 0.0678573i
\(759\) −17.6093 −0.639178
\(760\) 18.6051 20.3433i 0.674879 0.737929i
\(761\) 22.3932 0.811753 0.405877 0.913928i \(-0.366966\pi\)
0.405877 + 0.913928i \(0.366966\pi\)
\(762\) −33.1667 28.5965i −1.20150 1.03594i
\(763\) −32.1733 38.3426i −1.16475 1.38810i
\(764\) −26.7911 + 3.98661i −0.969267 + 0.144231i
\(765\) 84.8186 59.9852i 3.06662 2.16877i
\(766\) 0.351550 26.2207i 0.0127020 0.947393i
\(767\) 2.55974 4.43361i 0.0924270 0.160088i
\(768\) 49.6287 + 14.3669i 1.79082 + 0.518421i