Properties

Label 384.2.w.a.323.27
Level $384$
Weight $2$
Character 384.323
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [384,2,Mod(11,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([16, 21, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), 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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 323.27
Character \(\chi\) \(=\) 384.323
Dual form 384.2.w.a.107.27

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.348649 + 1.37056i) q^{2} +(-1.71879 + 0.213919i) q^{3} +(-1.75689 - 0.955692i) q^{4} +(2.82396 + 0.856639i) q^{5} +(0.306066 - 2.43029i) q^{6} +(-0.0745750 - 0.374914i) q^{7} +(1.92237 - 2.07472i) q^{8} +(2.90848 - 0.735362i) q^{9} +O(q^{10})\) \(q+(-0.348649 + 1.37056i) q^{2} +(-1.71879 + 0.213919i) q^{3} +(-1.75689 - 0.955692i) q^{4} +(2.82396 + 0.856639i) q^{5} +(0.306066 - 2.43029i) q^{6} +(-0.0745750 - 0.374914i) q^{7} +(1.92237 - 2.07472i) q^{8} +(2.90848 - 0.735362i) q^{9} +(-2.15865 + 3.57175i) q^{10} +(-0.231027 - 2.34566i) q^{11} +(3.22416 + 1.26680i) q^{12} +(3.12979 - 0.949411i) q^{13} +(0.539844 + 0.0285037i) q^{14} +(-5.03705 - 0.868285i) q^{15} +(2.17331 + 3.35809i) q^{16} +(0.745322 + 0.308723i) q^{17} +(-0.00617823 + 4.24264i) q^{18} +(0.936386 + 0.500509i) q^{19} +(-4.14270 - 4.20386i) q^{20} +(0.208380 + 0.628446i) q^{21} +(3.29542 + 0.501175i) q^{22} +(5.22949 + 7.82648i) q^{23} +(-2.86034 + 3.97725i) q^{24} +(3.08357 + 2.06038i) q^{25} +(0.210029 + 4.62059i) q^{26} +(-4.84175 + 1.88611i) q^{27} +(-0.227282 + 0.729952i) q^{28} +(-0.407758 + 4.14004i) q^{29} +(2.94620 - 6.60086i) q^{30} +(-2.67551 - 2.67551i) q^{31} +(-5.36019 + 1.80786i) q^{32} +(0.898867 + 3.98227i) q^{33} +(-0.682980 + 0.913875i) q^{34} +(0.110569 - 1.12263i) q^{35} +(-5.81265 - 1.48766i) q^{36} +(-5.34624 + 2.85762i) q^{37} +(-1.01245 + 1.10887i) q^{38} +(-5.17635 + 2.30136i) q^{39} +(7.20600 - 4.21216i) q^{40} +(1.74994 + 2.61897i) q^{41} +(-0.933976 + 0.0664907i) q^{42} +(5.57238 - 6.78997i) q^{43} +(-1.83584 + 4.34185i) q^{44} +(8.84337 + 0.414881i) q^{45} +(-12.5499 + 4.43865i) q^{46} +(10.9974 + 4.55527i) q^{47} +(-4.45381 - 5.30693i) q^{48} +(6.33216 - 2.62287i) q^{49} +(-3.89897 + 3.50788i) q^{50} +(-1.34709 - 0.371191i) q^{51} +(-6.40603 - 1.32311i) q^{52} +(-0.956915 - 9.71572i) q^{53} +(-0.896960 - 7.29352i) q^{54} +(1.35697 - 6.82195i) q^{55} +(-0.921204 - 0.566002i) q^{56} +(-1.71652 - 0.659959i) q^{57} +(-5.53202 - 2.00228i) q^{58} +(-11.2313 - 3.40698i) q^{59} +(8.01971 + 6.33934i) q^{60} +(1.86997 + 2.27857i) q^{61} +(4.59978 - 2.73414i) q^{62} +(-0.492598 - 1.03559i) q^{63} +(-0.608955 - 7.97679i) q^{64} +9.65171 q^{65} +(-5.77134 - 0.156463i) q^{66} +(1.44003 - 1.18180i) q^{67} +(-1.01440 - 1.25469i) q^{68} +(-10.6626 - 12.3334i) q^{69} +(1.50008 + 0.542945i) q^{70} +(0.884109 + 4.44472i) q^{71} +(4.06551 - 7.44793i) q^{72} +(3.73126 + 0.742195i) q^{73} +(-2.05259 - 8.32367i) q^{74} +(-5.74077 - 2.88172i) q^{75} +(-1.16679 - 1.77423i) q^{76} +(-0.862191 + 0.261543i) q^{77} +(-1.34943 - 7.89689i) q^{78} +(-0.353489 - 0.853397i) q^{79} +(3.26066 + 11.3448i) q^{80} +(7.91848 - 4.27757i) q^{81} +(-4.19957 + 1.48530i) q^{82} +(6.40718 + 3.42471i) q^{83} +(0.234500 - 1.30325i) q^{84} +(1.84030 + 1.51029i) q^{85} +(7.36327 + 10.0046i) q^{86} +(-0.184781 - 7.20308i) q^{87} +(-5.31071 - 4.02991i) q^{88} +(-5.43895 - 3.63419i) q^{89} +(-3.65186 + 11.9757i) q^{90} +(-0.589352 - 1.10260i) q^{91} +(-1.70791 - 18.7480i) q^{92} +(5.17099 + 4.02630i) q^{93} +(-10.0775 + 13.4844i) q^{94} +(2.21556 + 2.21556i) q^{95} +(8.82631 - 4.25397i) q^{96} +(-8.45955 + 8.45955i) q^{97} +(1.38710 + 9.59308i) q^{98} +(-2.39684 - 6.65240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{19}{32}\right)\) \(-1\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.348649 + 1.37056i −0.246532 + 0.969135i
\(3\) −1.71879 + 0.213919i −0.992344 + 0.123506i
\(4\) −1.75689 0.955692i −0.878444 0.477846i
\(5\) 2.82396 + 0.856639i 1.26291 + 0.383101i 0.849571 0.527475i \(-0.176861\pi\)
0.413343 + 0.910575i \(0.364361\pi\)
\(6\) 0.306066 2.43029i 0.124951 0.992163i
\(7\) −0.0745750 0.374914i −0.0281867 0.141704i 0.964129 0.265433i \(-0.0855148\pi\)
−0.992316 + 0.123729i \(0.960515\pi\)
\(8\) 1.92237 2.07472i 0.679662 0.733526i
\(9\) 2.90848 0.735362i 0.969493 0.245121i
\(10\) −2.15865 + 3.57175i −0.682625 + 1.12949i
\(11\) −0.231027 2.34566i −0.0696573 0.707242i −0.965068 0.262001i \(-0.915618\pi\)
0.895410 0.445242i \(-0.146882\pi\)
\(12\) 3.22416 + 1.26680i 0.930735 + 0.365695i
\(13\) 3.12979 0.949411i 0.868048 0.263319i 0.175314 0.984513i \(-0.443906\pi\)
0.692734 + 0.721193i \(0.256406\pi\)
\(14\) 0.539844 + 0.0285037i 0.144279 + 0.00761795i
\(15\) −5.03705 0.868285i −1.30056 0.224190i
\(16\) 2.17331 + 3.35809i 0.543326 + 0.839522i
\(17\) 0.745322 + 0.308723i 0.180767 + 0.0748762i 0.471231 0.882010i \(-0.343810\pi\)
−0.290464 + 0.956886i \(0.593810\pi\)
\(18\) −0.00617823 + 4.24264i −0.00145622 + 0.999999i
\(19\) 0.936386 + 0.500509i 0.214822 + 0.114825i 0.575298 0.817944i \(-0.304886\pi\)
−0.360477 + 0.932768i \(0.617386\pi\)
\(20\) −4.14270 4.20386i −0.926335 0.940011i
\(21\) 0.208380 + 0.628446i 0.0454722 + 0.137138i
\(22\) 3.29542 + 0.501175i 0.702586 + 0.106851i
\(23\) 5.22949 + 7.82648i 1.09042 + 1.63193i 0.705022 + 0.709185i \(0.250937\pi\)
0.385402 + 0.922749i \(0.374063\pi\)
\(24\) −2.86034 + 3.97725i −0.583863 + 0.811852i
\(25\) 3.08357 + 2.06038i 0.616715 + 0.412076i
\(26\) 0.210029 + 4.62059i 0.0411901 + 0.906172i
\(27\) −4.84175 + 1.88611i −0.931796 + 0.362982i
\(28\) −0.227282 + 0.729952i −0.0429523 + 0.137948i
\(29\) −0.407758 + 4.14004i −0.0757188 + 0.768786i 0.880092 + 0.474803i \(0.157481\pi\)
−0.955811 + 0.293983i \(0.905019\pi\)
\(30\) 2.94620 6.60086i 0.537900 1.20515i
\(31\) −2.67551 2.67551i −0.480536 0.480536i 0.424767 0.905303i \(-0.360356\pi\)
−0.905303 + 0.424767i \(0.860356\pi\)
\(32\) −5.36019 + 1.80786i −0.947557 + 0.319587i
\(33\) 0.898867 + 3.98227i 0.156473 + 0.693224i
\(34\) −0.682980 + 0.913875i −0.117130 + 0.156728i
\(35\) 0.110569 1.12263i 0.0186896 0.189759i
\(36\) −5.81265 1.48766i −0.968775 0.247943i
\(37\) −5.34624 + 2.85762i −0.878916 + 0.469791i −0.848162 0.529736i \(-0.822291\pi\)
−0.0307540 + 0.999527i \(0.509791\pi\)
\(38\) −1.01245 + 1.10887i −0.164241 + 0.179883i
\(39\) −5.17635 + 2.30136i −0.828880 + 0.368512i
\(40\) 7.20600 4.21216i 1.13937 0.666000i
\(41\) 1.74994 + 2.61897i 0.273294 + 0.409014i 0.942574 0.333996i \(-0.108397\pi\)
−0.669280 + 0.743010i \(0.733397\pi\)
\(42\) −0.933976 + 0.0664907i −0.144116 + 0.0102597i
\(43\) 5.57238 6.78997i 0.849780 1.03546i −0.149131 0.988817i \(-0.547648\pi\)
0.998912 0.0466430i \(-0.0148523\pi\)
\(44\) −1.83584 + 4.34185i −0.276763 + 0.654558i
\(45\) 8.84337 + 0.414881i 1.31829 + 0.0618468i
\(46\) −12.5499 + 4.43865i −1.85039 + 0.654443i
\(47\) 10.9974 + 4.55527i 1.60413 + 0.664454i 0.991993 0.126295i \(-0.0403086\pi\)
0.612141 + 0.790749i \(0.290309\pi\)
\(48\) −4.45381 5.30693i −0.642852 0.765990i
\(49\) 6.33216 2.62287i 0.904594 0.374695i
\(50\) −3.89897 + 3.50788i −0.551397 + 0.496090i
\(51\) −1.34709 0.371191i −0.188631 0.0519771i
\(52\) −6.40603 1.32311i −0.888357 0.183482i
\(53\) −0.956915 9.71572i −0.131442 1.33456i −0.804052 0.594559i \(-0.797327\pi\)
0.672610 0.739998i \(-0.265173\pi\)
\(54\) −0.896960 7.29352i −0.122061 0.992523i
\(55\) 1.35697 6.82195i 0.182974 0.919871i
\(56\) −0.921204 0.566002i −0.123101 0.0756353i
\(57\) −1.71652 0.659959i −0.227359 0.0874137i
\(58\) −5.53202 2.00228i −0.726390 0.262912i
\(59\) −11.2313 3.40698i −1.46219 0.443552i −0.543798 0.839216i \(-0.683014\pi\)
−0.918395 + 0.395664i \(0.870514\pi\)
\(60\) 8.01971 + 6.33934i 1.03534 + 0.818406i
\(61\) 1.86997 + 2.27857i 0.239425 + 0.291741i 0.878835 0.477125i \(-0.158321\pi\)
−0.639410 + 0.768866i \(0.720821\pi\)
\(62\) 4.59978 2.73414i 0.584172 0.347237i
\(63\) −0.492598 1.03559i −0.0620615 0.130472i
\(64\) −0.608955 7.97679i −0.0761194 0.997099i
\(65\) 9.65171 1.19715
\(66\) −5.77134 0.156463i −0.710403 0.0192592i
\(67\) 1.44003 1.18180i 0.175928 0.144380i −0.542309 0.840179i \(-0.682450\pi\)
0.718236 + 0.695799i \(0.244950\pi\)
\(68\) −1.01440 1.25469i −0.123014 0.152153i
\(69\) −10.6626 12.3334i −1.28363 1.48477i
\(70\) 1.50008 + 0.542945i 0.179294 + 0.0648943i
\(71\) 0.884109 + 4.44472i 0.104924 + 0.527491i 0.997120 + 0.0758414i \(0.0241643\pi\)
−0.892195 + 0.451650i \(0.850836\pi\)
\(72\) 4.06551 7.44793i 0.479125 0.877747i
\(73\) 3.73126 + 0.742195i 0.436711 + 0.0868673i 0.408550 0.912736i \(-0.366035\pi\)
0.0281617 + 0.999603i \(0.491035\pi\)
\(74\) −2.05259 8.32367i −0.238609 0.967607i
\(75\) −5.74077 2.88172i −0.662887 0.332753i
\(76\) −1.16679 1.77423i −0.133840 0.203519i
\(77\) −0.862191 + 0.261543i −0.0982558 + 0.0298056i
\(78\) −1.34943 7.89689i −0.152792 0.894147i
\(79\) −0.353489 0.853397i −0.0397706 0.0960147i 0.902746 0.430174i \(-0.141548\pi\)
−0.942517 + 0.334159i \(0.891548\pi\)
\(80\) 3.26066 + 11.3448i 0.364553 + 1.26839i
\(81\) 7.91848 4.27757i 0.879832 0.475286i
\(82\) −4.19957 + 1.48530i −0.463765 + 0.164024i
\(83\) 6.40718 + 3.42471i 0.703280 + 0.375911i 0.783945 0.620830i \(-0.213204\pi\)
−0.0806651 + 0.996741i \(0.525704\pi\)
\(84\) 0.234500 1.30325i 0.0255861 0.142197i
\(85\) 1.84030 + 1.51029i 0.199608 + 0.163814i
\(86\) 7.36327 + 10.0046i 0.794002 + 1.07883i
\(87\) −0.184781 7.20308i −0.0198106 0.772251i
\(88\) −5.31071 4.02991i −0.566124 0.429590i
\(89\) −5.43895 3.63419i −0.576528 0.385224i 0.232849 0.972513i \(-0.425195\pi\)
−0.809377 + 0.587289i \(0.800195\pi\)
\(90\) −3.65186 + 11.9757i −0.384939 + 1.26235i
\(91\) −0.589352 1.10260i −0.0617809 0.115584i
\(92\) −1.70791 18.7480i −0.178062 1.95462i
\(93\) 5.17099 + 4.02630i 0.536206 + 0.417508i
\(94\) −10.0775 + 13.4844i −1.03942 + 1.39081i
\(95\) 2.21556 + 2.21556i 0.227312 + 0.227312i
\(96\) 8.82631 4.25397i 0.900831 0.434169i
\(97\) −8.45955 + 8.45955i −0.858938 + 0.858938i −0.991213 0.132275i \(-0.957772\pi\)
0.132275 + 0.991213i \(0.457772\pi\)
\(98\) 1.38710 + 9.59308i 0.140118 + 0.969048i
\(99\) −2.39684 6.65240i −0.240892 0.668592i
\(100\) −3.44841 6.56680i −0.344841 0.656680i
\(101\) −13.9516 + 7.45729i −1.38824 + 0.742028i −0.984916 0.173031i \(-0.944644\pi\)
−0.403321 + 0.915059i \(0.632144\pi\)
\(102\) 0.978404 1.71686i 0.0968764 0.169995i
\(103\) 6.72740 10.0683i 0.662871 0.992056i −0.335871 0.941908i \(-0.609031\pi\)
0.998742 0.0501480i \(-0.0159693\pi\)
\(104\) 4.04686 8.31857i 0.396827 0.815703i
\(105\) 0.0501058 + 1.95321i 0.00488982 + 0.190614i
\(106\) 13.6496 + 2.07587i 1.32577 + 0.201626i
\(107\) −1.56733 + 1.90980i −0.151519 + 0.184627i −0.843238 0.537540i \(-0.819354\pi\)
0.691719 + 0.722167i \(0.256854\pi\)
\(108\) 10.3090 + 1.31354i 0.991980 + 0.126396i
\(109\) 8.59594 16.0819i 0.823342 1.54036i −0.0179852 0.999838i \(-0.505725\pi\)
0.841327 0.540526i \(-0.181775\pi\)
\(110\) 8.87681 + 4.23828i 0.846370 + 0.404104i
\(111\) 8.57776 6.05532i 0.814165 0.574745i
\(112\) 1.09692 1.06523i 0.103649 0.100655i
\(113\) −9.26952 + 3.83956i −0.872003 + 0.361195i −0.773390 0.633931i \(-0.781440\pi\)
−0.0986127 + 0.995126i \(0.531440\pi\)
\(114\) 1.50298 2.12250i 0.140767 0.198791i
\(115\) 8.06340 + 26.5815i 0.751916 + 2.47873i
\(116\) 4.67299 6.88389i 0.433876 0.639153i
\(117\) 8.40476 5.06287i 0.777021 0.468063i
\(118\) 8.58528 14.2054i 0.790339 1.30771i
\(119\) 0.0601620 0.302455i 0.00551504 0.0277260i
\(120\) −11.4845 + 8.78131i −1.04839 + 0.801620i
\(121\) 5.33991 1.06217i 0.485446 0.0965612i
\(122\) −3.77489 + 1.76849i −0.341762 + 0.160112i
\(123\) −3.56802 4.12711i −0.321718 0.372129i
\(124\) 2.14361 + 7.25754i 0.192502 + 0.651746i
\(125\) −2.41768 2.94595i −0.216244 0.263494i
\(126\) 1.59108 0.314078i 0.141745 0.0279803i
\(127\) 2.76012i 0.244921i −0.992473 0.122461i \(-0.960921\pi\)
0.992473 0.122461i \(-0.0390786\pi\)
\(128\) 11.1450 + 1.94649i 0.985089 + 0.172047i
\(129\) −8.12525 + 12.8626i −0.715389 + 1.13249i
\(130\) −3.36506 + 13.2283i −0.295135 + 1.16020i
\(131\) −16.0246 + 13.1511i −1.40008 + 1.14902i −0.430974 + 0.902364i \(0.641830\pi\)
−0.969104 + 0.246651i \(0.920670\pi\)
\(132\) 2.22662 7.85544i 0.193802 0.683728i
\(133\) 0.117817 0.388390i 0.0102160 0.0336777i
\(134\) 1.11767 + 2.38569i 0.0965520 + 0.206092i
\(135\) −15.2886 + 1.17867i −1.31584 + 0.101444i
\(136\) 2.07330 0.952857i 0.177784 0.0817068i
\(137\) 2.71768 + 0.540581i 0.232187 + 0.0461849i 0.309812 0.950798i \(-0.399734\pi\)
−0.0776251 + 0.996983i \(0.524734\pi\)
\(138\) 20.6212 10.3138i 1.75539 0.877966i
\(139\) −10.8020 + 1.06391i −0.916216 + 0.0902394i −0.545123 0.838356i \(-0.683517\pi\)
−0.371093 + 0.928596i \(0.621017\pi\)
\(140\) −1.26714 + 1.86666i −0.107093 + 0.157761i
\(141\) −19.8767 5.47700i −1.67392 0.461247i
\(142\) −6.40001 0.337920i −0.537077 0.0283577i
\(143\) −2.95006 7.12207i −0.246696 0.595578i
\(144\) 8.79042 + 8.16875i 0.732535 + 0.680729i
\(145\) −4.69801 + 11.3420i −0.390149 + 0.941902i
\(146\) −2.31813 + 4.85517i −0.191850 + 0.401817i
\(147\) −10.3226 + 5.86272i −0.851391 + 0.483549i
\(148\) 12.1237 + 0.0888349i 0.996566 + 0.00730218i
\(149\) −13.1553 10.7963i −1.07772 0.884465i −0.0840160 0.996464i \(-0.526775\pi\)
−0.993708 + 0.111999i \(0.964275\pi\)
\(150\) 5.95110 6.86338i 0.485905 0.560392i
\(151\) −2.48099 + 1.65774i −0.201900 + 0.134905i −0.652410 0.757866i \(-0.726242\pi\)
0.450510 + 0.892771i \(0.351242\pi\)
\(152\) 2.83850 0.980577i 0.230233 0.0795353i
\(153\) 2.39478 + 0.349831i 0.193606 + 0.0282821i
\(154\) −0.0578585 1.27287i −0.00466237 0.102571i
\(155\) −5.26359 9.84749i −0.422782 0.790970i
\(156\) 11.2937 + 0.903773i 0.904217 + 0.0723597i
\(157\) 8.91691 + 0.878239i 0.711647 + 0.0700911i 0.447361 0.894353i \(-0.352364\pi\)
0.264286 + 0.964444i \(0.414864\pi\)
\(158\) 1.29288 0.186942i 0.102856 0.0148723i
\(159\) 3.72311 + 16.4946i 0.295262 + 1.30811i
\(160\) −16.6857 + 0.513569i −1.31912 + 0.0406012i
\(161\) 2.54427 2.54427i 0.200516 0.200516i
\(162\) 3.10191 + 12.3442i 0.243709 + 0.969848i
\(163\) −20.2689 1.99631i −1.58758 0.156363i −0.734672 0.678422i \(-0.762664\pi\)
−0.852909 + 0.522059i \(0.825164\pi\)
\(164\) −0.571517 6.27363i −0.0446280 0.489888i
\(165\) −0.873004 + 12.0158i −0.0679633 + 0.935427i
\(166\) −6.92764 + 7.58743i −0.537689 + 0.588899i
\(167\) 4.06363 6.08165i 0.314453 0.470612i −0.640253 0.768165i \(-0.721170\pi\)
0.954705 + 0.297552i \(0.0961703\pi\)
\(168\) 1.70443 + 0.775777i 0.131500 + 0.0598525i
\(169\) −1.91490 + 1.27950i −0.147300 + 0.0984228i
\(170\) −2.71157 + 1.99568i −0.207968 + 0.153062i
\(171\) 3.09151 + 0.767136i 0.236414 + 0.0586643i
\(172\) −16.2792 + 6.60373i −1.24127 + 0.503529i
\(173\) 11.1741 20.9053i 0.849550 1.58940i 0.0423626 0.999102i \(-0.486512\pi\)
0.807188 0.590295i \(-0.200988\pi\)
\(174\) 9.93670 + 2.25810i 0.753300 + 0.171186i
\(175\) 0.542507 1.30973i 0.0410097 0.0990062i
\(176\) 7.37483 5.87364i 0.555898 0.442742i
\(177\) 20.0331 + 3.45330i 1.50578 + 0.259566i
\(178\) 6.87718 6.18737i 0.515466 0.463763i
\(179\) −0.653940 2.15575i −0.0488778 0.161128i 0.929104 0.369818i \(-0.120580\pi\)
−0.977982 + 0.208690i \(0.933080\pi\)
\(180\) −15.1403 9.18043i −1.12849 0.684269i
\(181\) −17.7644 + 1.74964i −1.32042 + 0.130050i −0.733552 0.679633i \(-0.762139\pi\)
−0.586867 + 0.809683i \(0.699639\pi\)
\(182\) 1.71666 0.423323i 0.127247 0.0313788i
\(183\) −3.70152 3.51636i −0.273624 0.259937i
\(184\) 26.2908 + 4.19568i 1.93818 + 0.309310i
\(185\) −17.5455 + 3.49002i −1.28997 + 0.256591i
\(186\) −7.32116 + 5.68340i −0.536814 + 0.416727i
\(187\) 0.551968 1.81959i 0.0403639 0.133062i
\(188\) −14.9677 18.5132i −1.09163 1.35021i
\(189\) 1.06820 + 1.67458i 0.0777004 + 0.121808i
\(190\) −3.80902 + 2.26411i −0.276336 + 0.164256i
\(191\) 0.443876i 0.0321177i 0.999871 + 0.0160589i \(0.00511191\pi\)
−0.999871 + 0.0160589i \(0.994888\pi\)
\(192\) 2.75305 + 13.5802i 0.198684 + 0.980064i
\(193\) 0.693338i 0.0499076i 0.999689 + 0.0249538i \(0.00794386\pi\)
−0.999689 + 0.0249538i \(0.992056\pi\)
\(194\) −8.64494 14.5438i −0.620670 1.04418i
\(195\) −16.5893 + 2.06468i −1.18798 + 0.147855i
\(196\) −13.6315 1.44351i −0.973681 0.103108i
\(197\) −2.76860 + 9.12685i −0.197255 + 0.650261i 0.801387 + 0.598147i \(0.204096\pi\)
−0.998641 + 0.0521143i \(0.983404\pi\)
\(198\) 9.95320 0.965672i 0.707343 0.0686273i
\(199\) 0.0877509 0.0174547i 0.00622049 0.00123733i −0.191979 0.981399i \(-0.561491\pi\)
0.198200 + 0.980162i \(0.436491\pi\)
\(200\) 10.2025 2.43675i 0.721426 0.172304i
\(201\) −2.22230 + 2.33932i −0.156749 + 0.165003i
\(202\) −5.35647 21.7215i −0.376880 1.52832i
\(203\) 1.58257 0.155869i 0.111074 0.0109399i
\(204\) 2.01195 + 1.93955i 0.140865 + 0.135795i
\(205\) 2.69824 + 8.89492i 0.188454 + 0.621248i
\(206\) 11.4537 + 12.7306i 0.798017 + 0.886985i
\(207\) 20.9652 + 18.9176i 1.45718 + 1.31486i
\(208\) 9.99019 + 8.44674i 0.692695 + 0.585676i
\(209\) 0.957692 2.31207i 0.0662449 0.159929i
\(210\) −2.69447 0.612313i −0.185936 0.0422536i
\(211\) −8.99333 + 16.8253i −0.619126 + 1.15830i 0.355545 + 0.934659i \(0.384295\pi\)
−0.974671 + 0.223644i \(0.928205\pi\)
\(212\) −7.60405 + 17.9839i −0.522248 + 1.23514i
\(213\) −2.47041 7.45041i −0.169269 0.510494i
\(214\) −2.07105 2.81397i −0.141574 0.192359i
\(215\) 21.5527 14.4011i 1.46988 0.982146i
\(216\) −5.39450 + 13.6711i −0.367050 + 0.930201i
\(217\) −0.803561 + 1.20261i −0.0545493 + 0.0816388i
\(218\) 19.0443 + 17.3882i 1.28984 + 1.17768i
\(219\) −6.57203 0.477490i −0.444096 0.0322658i
\(220\) −8.90373 + 10.6885i −0.600289 + 0.720622i
\(221\) 2.62581 + 0.258619i 0.176631 + 0.0173966i
\(222\) 5.30856 + 13.8675i 0.356287 + 0.930729i
\(223\) 9.32342 9.32342i 0.624342 0.624342i −0.322296 0.946639i \(-0.604455\pi\)
0.946639 + 0.322296i \(0.104455\pi\)
\(224\) 1.07753 + 1.87479i 0.0719953 + 0.125265i
\(225\) 10.4836 + 3.72502i 0.698909 + 0.248335i
\(226\) −2.03055 14.0431i −0.135070 0.934134i
\(227\) 25.2847 + 2.49033i 1.67821 + 0.165289i 0.891803 0.452425i \(-0.149441\pi\)
0.786403 + 0.617714i \(0.211941\pi\)
\(228\) 2.38501 + 2.79994i 0.157951 + 0.185430i
\(229\) 2.61511 + 4.89254i 0.172812 + 0.323308i 0.953385 0.301756i \(-0.0975728\pi\)
−0.780573 + 0.625064i \(0.785073\pi\)
\(230\) −39.2429 + 1.78379i −2.58760 + 0.117619i
\(231\) 1.42598 0.633976i 0.0938223 0.0417125i
\(232\) 7.80557 + 8.80469i 0.512461 + 0.578056i
\(233\) −18.9899 + 12.6886i −1.24407 + 0.831260i −0.990694 0.136109i \(-0.956540\pi\)
−0.253374 + 0.967368i \(0.581540\pi\)
\(234\) 4.00867 + 13.2844i 0.262055 + 0.868430i
\(235\) 27.1540 + 22.2847i 1.77133 + 1.45369i
\(236\) 16.4761 + 16.7194i 1.07251 + 1.08834i
\(237\) 0.790130 + 1.39119i 0.0513245 + 0.0903677i
\(238\) 0.393558 + 0.187906i 0.0255106 + 0.0121802i
\(239\) 0.648295 1.56512i 0.0419347 0.101239i −0.901524 0.432728i \(-0.857551\pi\)
0.943459 + 0.331489i \(0.107551\pi\)
\(240\) −8.03126 18.8019i −0.518416 1.21366i
\(241\) 7.09867 + 17.1377i 0.457265 + 1.10394i 0.969500 + 0.245091i \(0.0788177\pi\)
−0.512235 + 0.858845i \(0.671182\pi\)
\(242\) −0.405979 + 7.68900i −0.0260973 + 0.494268i
\(243\) −12.6952 + 9.04616i −0.814395 + 0.580311i
\(244\) −1.10772 5.79031i −0.0709146 0.370686i
\(245\) 20.1286 1.98250i 1.28597 0.126657i
\(246\) 6.90045 3.45128i 0.439957 0.220046i
\(247\) 3.40588 + 0.677472i 0.216711 + 0.0431065i
\(248\) −10.6943 + 0.407613i −0.679088 + 0.0258834i
\(249\) −11.7452 4.51574i −0.744323 0.286174i
\(250\) 4.88053 2.28648i 0.308672 0.144610i
\(251\) 7.14486 23.5534i 0.450980 1.48668i −0.377154 0.926150i \(-0.623097\pi\)
0.828134 0.560530i \(-0.189403\pi\)
\(252\) −0.124266 + 2.29019i −0.00782804 + 0.144268i
\(253\) 17.1501 14.0747i 1.07822 0.884870i
\(254\) 3.78293 + 0.962316i 0.237362 + 0.0603811i
\(255\) −3.48616 2.20220i −0.218312 0.137907i
\(256\) −6.55349 + 14.5963i −0.409593 + 0.912268i
\(257\) 3.95566i 0.246747i −0.992360 0.123374i \(-0.960629\pi\)
0.992360 0.123374i \(-0.0393714\pi\)
\(258\) −14.7961 15.6207i −0.921165 0.972502i
\(259\) 1.47006 + 1.79127i 0.0913451 + 0.111304i
\(260\) −16.9570 9.22406i −1.05163 0.572052i
\(261\) 1.85847 + 12.3411i 0.115037 + 0.763892i
\(262\) −12.4374 26.5479i −0.768385 1.64013i
\(263\) −11.3600 + 2.25965i −0.700488 + 0.139336i −0.532471 0.846448i \(-0.678736\pi\)
−0.168017 + 0.985784i \(0.553736\pi\)
\(264\) 9.99007 + 5.79051i 0.614846 + 0.356381i
\(265\) 5.62058 28.2565i 0.345269 1.73579i
\(266\) 0.491236 + 0.296887i 0.0301196 + 0.0182033i
\(267\) 10.1258 + 5.08292i 0.619691 + 0.311070i
\(268\) −3.65941 + 0.700068i −0.223534 + 0.0427635i
\(269\) −7.91740 26.1002i −0.482733 1.59136i −0.772997 0.634410i \(-0.781243\pi\)
0.290265 0.956946i \(-0.406257\pi\)
\(270\) 3.71494 21.3650i 0.226084 1.30023i
\(271\) −22.5640 + 9.34632i −1.37067 + 0.567748i −0.941969 0.335700i \(-0.891027\pi\)
−0.428697 + 0.903448i \(0.641027\pi\)
\(272\) 0.583096 + 3.17380i 0.0353554 + 0.192440i
\(273\) 1.24884 + 1.76906i 0.0755832 + 0.107069i
\(274\) −1.68842 + 3.53628i −0.102001 + 0.213635i
\(275\) 4.12055 7.70901i 0.248479 0.464871i
\(276\) 6.94610 + 31.8586i 0.418106 + 1.91766i
\(277\) 10.4104 12.6851i 0.625499 0.762172i −0.359797 0.933031i \(-0.617154\pi\)
0.985296 + 0.170858i \(0.0546540\pi\)
\(278\) 2.30797 15.1758i 0.138423 0.910183i
\(279\) −9.74914 5.81420i −0.583666 0.348087i
\(280\) −2.11658 2.38751i −0.126490 0.142681i
\(281\) −11.2093 + 16.7759i −0.668691 + 1.00077i 0.329701 + 0.944085i \(0.393052\pi\)
−0.998392 + 0.0566819i \(0.981948\pi\)
\(282\) 14.4366 25.3327i 0.859684 1.50854i
\(283\) 14.4709 7.73483i 0.860203 0.459788i 0.0185635 0.999828i \(-0.494091\pi\)
0.841640 + 0.540039i \(0.181591\pi\)
\(284\) 2.69450 8.65380i 0.159889 0.513509i
\(285\) −4.28204 3.33414i −0.253646 0.197497i
\(286\) 10.7898 1.56014i 0.638014 0.0922528i
\(287\) 0.851385 0.851385i 0.0502557 0.0502557i
\(288\) −14.2606 + 9.19980i −0.840312 + 0.542103i
\(289\) −11.5606 11.5606i −0.680036 0.680036i
\(290\) −13.9070 10.3933i −0.816646 0.610316i
\(291\) 12.7305 16.3499i 0.746278 0.958445i
\(292\) −5.84610 4.86989i −0.342117 0.284989i
\(293\) 5.04047 + 9.43006i 0.294468 + 0.550910i 0.985034 0.172359i \(-0.0551388\pi\)
−0.690567 + 0.723269i \(0.742639\pi\)
\(294\) −4.43627 16.1918i −0.258729 0.944323i
\(295\) −28.7983 19.2424i −1.67670 1.12033i
\(296\) −4.34869 + 16.5854i −0.252763 + 0.964006i
\(297\) 5.54275 + 10.9214i 0.321623 + 0.633721i
\(298\) 19.3836 14.2661i 1.12286 0.826411i
\(299\) 23.7978 + 19.5303i 1.37626 + 1.12947i
\(300\) 7.33185 + 10.5493i 0.423304 + 0.609063i
\(301\) −2.96122 1.58280i −0.170682 0.0912312i
\(302\) −1.40705 3.97832i −0.0809664 0.228927i
\(303\) 22.3846 15.8020i 1.28596 0.907803i
\(304\) 0.354301 + 4.23222i 0.0203206 + 0.242735i
\(305\) 3.32882 + 8.03648i 0.190608 + 0.460167i
\(306\) −1.31440 + 3.16022i −0.0751394 + 0.180658i
\(307\) −1.40050 + 0.424838i −0.0799309 + 0.0242468i −0.329997 0.943982i \(-0.607048\pi\)
0.250066 + 0.968229i \(0.419548\pi\)
\(308\) 1.76473 + 0.364488i 0.100555 + 0.0207686i
\(309\) −9.40920 + 18.7444i −0.535271 + 1.06633i
\(310\) 15.3318 3.78077i 0.870785 0.214733i
\(311\) 12.1369 + 2.41417i 0.688218 + 0.136895i 0.526798 0.849991i \(-0.323393\pi\)
0.161420 + 0.986886i \(0.448393\pi\)
\(312\) −5.17621 + 15.1636i −0.293045 + 0.858469i
\(313\) 1.43263 + 7.20230i 0.0809768 + 0.407098i 0.999919 + 0.0127064i \(0.00404467\pi\)
−0.918942 + 0.394392i \(0.870955\pi\)
\(314\) −4.31256 + 11.9150i −0.243372 + 0.672402i
\(315\) −0.503950 3.34644i −0.0283943 0.188551i
\(316\) −0.194545 + 1.83715i −0.0109440 + 0.103348i
\(317\) −10.2020 + 8.37253i −0.572999 + 0.470248i −0.875712 0.482834i \(-0.839608\pi\)
0.302713 + 0.953082i \(0.402108\pi\)
\(318\) −23.9049 0.648068i −1.34052 0.0363419i
\(319\) 9.80531 0.548992
\(320\) 5.11356 23.0478i 0.285857 1.28841i
\(321\) 2.28537 3.61782i 0.127557 0.201927i
\(322\) 2.60002 + 4.37414i 0.144894 + 0.243761i
\(323\) 0.543391 + 0.662124i 0.0302351 + 0.0368416i
\(324\) −17.9999 0.0524240i −0.999996 0.00291244i
\(325\) 11.6071 + 3.52097i 0.643845 + 0.195308i
\(326\) 9.80280 27.0838i 0.542927 1.50003i
\(327\) −11.3344 + 29.4802i −0.626794 + 1.63026i
\(328\) 8.79766 + 1.40400i 0.485770 + 0.0775227i
\(329\) 0.887703 4.46278i 0.0489406 0.246041i
\(330\) −16.1640 5.38580i −0.889800 0.296479i
\(331\) −2.36854 24.0482i −0.130187 1.32181i −0.809135 0.587623i \(-0.800064\pi\)
0.678948 0.734186i \(-0.262436\pi\)
\(332\) −7.98373 12.1401i −0.438164 0.666276i
\(333\) −13.4480 + 12.2428i −0.736947 + 0.670899i
\(334\) 6.91850 + 7.68982i 0.378564 + 0.420768i
\(335\) 5.07897 2.10378i 0.277494 0.114942i
\(336\) −1.65750 + 2.06556i −0.0904241 + 0.112686i
\(337\) −29.2503 12.1159i −1.59337 0.659994i −0.602909 0.797810i \(-0.705992\pi\)
−0.990458 + 0.137816i \(0.955992\pi\)
\(338\) −1.08600 3.07059i −0.0590707 0.167018i
\(339\) 15.1110 8.58232i 0.820717 0.466128i
\(340\) −1.78982 4.41217i −0.0970666 0.239284i
\(341\) −5.65772 + 6.89395i −0.306383 + 0.373328i
\(342\) −2.12926 + 3.96965i −0.115137 + 0.214654i
\(343\) −2.94217 4.40327i −0.158862 0.237754i
\(344\) −3.37510 24.6140i −0.181973 1.32710i
\(345\) −19.5456 43.9630i −1.05230 2.36689i
\(346\) 24.7561 + 22.6034i 1.33090 + 1.21517i
\(347\) −7.38226 + 3.94590i −0.396300 + 0.211827i −0.657494 0.753459i \(-0.728384\pi\)
0.261194 + 0.965286i \(0.415884\pi\)
\(348\) −6.55929 + 12.8316i −0.351615 + 0.687846i
\(349\) −0.687998 + 6.98536i −0.0368277 + 0.373918i 0.959052 + 0.283231i \(0.0914062\pi\)
−0.995879 + 0.0906868i \(0.971094\pi\)
\(350\) 1.60592 + 1.20018i 0.0858401 + 0.0641521i
\(351\) −13.3630 + 10.4999i −0.713263 + 0.560446i
\(352\) 5.47896 + 12.1555i 0.292030 + 0.647891i
\(353\) −10.6551 10.6551i −0.567111 0.567111i 0.364207 0.931318i \(-0.381340\pi\)
−0.931318 + 0.364207i \(0.881340\pi\)
\(354\) −11.7175 + 26.2526i −0.622778 + 1.39531i
\(355\) −1.31083 + 13.3091i −0.0695716 + 0.706372i
\(356\) 6.08246 + 11.5828i 0.322370 + 0.613889i
\(357\) −0.0387051 + 0.532726i −0.00204849 + 0.0281948i
\(358\) 3.18259 0.144665i 0.168205 0.00764577i
\(359\) −19.1233 12.7778i −1.00929 0.674384i −0.0631010 0.998007i \(-0.520099\pi\)
−0.946186 + 0.323623i \(0.895099\pi\)
\(360\) 17.8610 17.5500i 0.941359 0.924965i
\(361\) −9.92952 14.8606i −0.522607 0.782136i
\(362\) 3.79556 24.9573i 0.199490 1.31173i
\(363\) −8.95096 + 2.96796i −0.469803 + 0.155777i
\(364\) −0.0183212 + 2.50038i −0.000960290 + 0.131056i
\(365\) 9.90115 + 5.29227i 0.518250 + 0.277010i
\(366\) 6.10992 3.84719i 0.319371 0.201096i
\(367\) 16.7221 + 6.92652i 0.872886 + 0.361561i 0.773734 0.633511i \(-0.218387\pi\)
0.0991525 + 0.995072i \(0.468387\pi\)
\(368\) −14.9167 + 34.5704i −0.777588 + 1.80211i
\(369\) 7.01554 + 6.33037i 0.365215 + 0.329546i
\(370\) 1.33394 25.2640i 0.0693483 1.31341i
\(371\) −3.57120 + 1.08331i −0.185407 + 0.0562427i
\(372\) −5.23693 12.0156i −0.271522 0.622981i
\(373\) −1.56010 15.8399i −0.0807787 0.820160i −0.947157 0.320771i \(-0.896058\pi\)
0.866378 0.499389i \(-0.166442\pi\)
\(374\) 2.30142 + 1.39091i 0.119004 + 0.0719221i
\(375\) 4.78567 + 4.54628i 0.247131 + 0.234769i
\(376\) 30.5920 14.0596i 1.57766 0.725069i
\(377\) 2.65440 + 13.3446i 0.136709 + 0.687281i
\(378\) −2.66755 + 0.880198i −0.137204 + 0.0452725i
\(379\) 34.3932 + 10.4331i 1.76666 + 0.535911i 0.994978 0.100096i \(-0.0319150\pi\)
0.771683 + 0.636007i \(0.219415\pi\)
\(380\) −1.77510 6.00989i −0.0910606 0.308301i
\(381\) 0.590442 + 4.74407i 0.0302493 + 0.243046i
\(382\) −0.608360 0.154757i −0.0311264 0.00791806i
\(383\) 3.75605 0.191925 0.0959627 0.995385i \(-0.469407\pi\)
0.0959627 + 0.995385i \(0.469407\pi\)
\(384\) −19.5723 0.961484i −0.998796 0.0490655i
\(385\) −2.65884 −0.135507
\(386\) −0.950263 0.241732i −0.0483671 0.0123038i
\(387\) 11.2141 23.8462i 0.570043 1.21217i
\(388\) 22.9472 6.77775i 1.16497 0.344088i
\(389\) −16.3846 4.97021i −0.830732 0.252000i −0.153853 0.988094i \(-0.549168\pi\)
−0.676879 + 0.736094i \(0.736668\pi\)
\(390\) 2.95406 23.4565i 0.149585 1.18776i
\(391\) 1.48144 + 7.44771i 0.0749197 + 0.376647i
\(392\) 6.73106 18.1796i 0.339970 0.918209i
\(393\) 24.7297 26.0319i 1.24745 1.31314i
\(394\) −11.5437 6.97661i −0.581561 0.351477i
\(395\) −0.267185 2.71277i −0.0134435 0.136494i
\(396\) −2.14666 + 13.9782i −0.107874 + 0.702429i
\(397\) −28.4080 + 8.61747i −1.42576 + 0.432499i −0.906531 0.422139i \(-0.861280\pi\)
−0.519226 + 0.854637i \(0.673780\pi\)
\(398\) −0.00667147 + 0.126354i −0.000334411 + 0.00633354i
\(399\) −0.119418 + 0.692764i −0.00597840 + 0.0346816i
\(400\) −0.217381 + 14.8327i −0.0108690 + 0.741637i
\(401\) −6.91704 2.86513i −0.345420 0.143078i 0.203227 0.979132i \(-0.434857\pi\)
−0.548647 + 0.836054i \(0.684857\pi\)
\(402\) −2.43138 3.86141i −0.121266 0.192589i
\(403\) −10.9140 5.83363i −0.543663 0.290594i
\(404\) 31.6383 + 0.231825i 1.57406 + 0.0115337i
\(405\) 26.0258 5.29641i 1.29323 0.263181i
\(406\) −0.338132 + 2.22335i −0.0167812 + 0.110343i
\(407\) 7.93813 + 11.8803i 0.393479 + 0.588882i
\(408\) −3.35974 + 2.08128i −0.166332 + 0.103039i
\(409\) −18.2744 12.2105i −0.903609 0.603772i 0.0145893 0.999894i \(-0.495356\pi\)
−0.918198 + 0.396121i \(0.870356\pi\)
\(410\) −13.1318 + 0.596906i −0.648533 + 0.0294791i
\(411\) −4.78677 0.347782i −0.236114 0.0171548i
\(412\) −21.4414 + 11.2595i −1.05634 + 0.554715i
\(413\) −0.439750 + 4.46486i −0.0216387 + 0.219701i
\(414\) −33.2372 + 22.1385i −1.63352 + 1.08805i
\(415\) 15.1599 + 15.1599i 0.744170 + 0.744170i
\(416\) −15.0599 + 10.7472i −0.738371 + 0.526927i
\(417\) 18.3388 4.13939i 0.898056 0.202707i
\(418\) 2.83494 + 2.11868i 0.138662 + 0.103628i
\(419\) −2.09861 + 21.3075i −0.102524 + 1.04094i 0.796974 + 0.604014i \(0.206433\pi\)
−0.899497 + 0.436926i \(0.856067\pi\)
\(420\) 1.77864 3.47946i 0.0867887 0.169780i
\(421\) −9.27719 + 4.95876i −0.452143 + 0.241675i −0.681717 0.731616i \(-0.738767\pi\)
0.229575 + 0.973291i \(0.426267\pi\)
\(422\) −19.9247 18.1921i −0.969918 0.885576i
\(423\) 35.3354 + 5.16183i 1.71807 + 0.250977i
\(424\) −21.9970 16.6919i −1.06827 0.810631i
\(425\) 1.66217 + 2.48762i 0.0806272 + 0.120667i
\(426\) 11.0726 0.788267i 0.536467 0.0381917i
\(427\) 0.714814 0.871003i 0.0345923 0.0421508i
\(428\) 4.57880 1.85741i 0.221325 0.0897814i
\(429\) 6.59408 + 11.6103i 0.318365 + 0.560549i
\(430\) 12.2232 + 34.5603i 0.589457 + 1.66665i
\(431\) −23.0634 9.55318i −1.11093 0.460161i −0.249670 0.968331i \(-0.580322\pi\)
−0.861257 + 0.508170i \(0.830322\pi\)
\(432\) −16.8563 12.1599i −0.811001 0.585045i
\(433\) 17.0872 7.07774i 0.821158 0.340135i 0.0677615 0.997702i \(-0.478414\pi\)
0.753396 + 0.657567i \(0.228414\pi\)
\(434\) −1.36810 1.52062i −0.0656708 0.0729922i
\(435\) 5.64863 20.4995i 0.270831 0.982876i
\(436\) −30.4714 + 20.0390i −1.45932 + 0.959693i
\(437\) 0.979597 + 9.94602i 0.0468605 + 0.475782i
\(438\) 2.94576 8.84090i 0.140754 0.422435i
\(439\) 5.79699 29.1434i 0.276675 1.39094i −0.553227 0.833030i \(-0.686604\pi\)
0.829902 0.557909i \(-0.188396\pi\)
\(440\) −11.5451 15.9297i −0.550389 0.759418i
\(441\) 16.4882 12.2850i 0.785152 0.584999i
\(442\) −1.26994 + 3.50867i −0.0604049 + 0.166890i
\(443\) −19.7550 5.99262i −0.938589 0.284718i −0.216314 0.976324i \(-0.569404\pi\)
−0.722275 + 0.691606i \(0.756904\pi\)
\(444\) −20.8572 + 2.44081i −0.989838 + 0.115836i
\(445\) −12.2462 14.9220i −0.580525 0.707372i
\(446\) 9.52773 + 16.0289i 0.451151 + 0.758992i
\(447\) 24.9207 + 15.7424i 1.17871 + 0.744588i
\(448\) −2.94520 + 0.823175i −0.139148 + 0.0388914i
\(449\) −1.12173 −0.0529377 −0.0264689 0.999650i \(-0.508426\pi\)
−0.0264689 + 0.999650i \(0.508426\pi\)
\(450\) −8.76049 + 13.0698i −0.412973 + 0.616114i
\(451\) 5.73891 4.70980i 0.270235 0.221776i
\(452\) 19.9549 + 2.11313i 0.938601 + 0.0993933i
\(453\) 3.90967 3.38004i 0.183693 0.158808i
\(454\) −12.2287 + 33.7861i −0.573919 + 1.58566i
\(455\) −0.719776 3.61856i −0.0337436 0.169641i
\(456\) −4.66903 + 2.29262i −0.218647 + 0.107362i
\(457\) 14.7080 + 2.92560i 0.688011 + 0.136854i 0.526702 0.850050i \(-0.323428\pi\)
0.161309 + 0.986904i \(0.448428\pi\)
\(458\) −7.61729 + 1.87840i −0.355932 + 0.0877719i
\(459\) −4.19095 0.0889983i −0.195617 0.00415408i
\(460\) 11.2372 54.4068i 0.523938 2.53673i
\(461\) 24.5718 7.45377i 1.14442 0.347157i 0.339540 0.940592i \(-0.389729\pi\)
0.804882 + 0.593435i \(0.202229\pi\)
\(462\) 0.371738 + 2.17543i 0.0172948 + 0.101210i
\(463\) 2.11651 + 5.10971i 0.0983627 + 0.237469i 0.965399 0.260776i \(-0.0839783\pi\)
−0.867037 + 0.498244i \(0.833978\pi\)
\(464\) −14.7888 + 7.62828i −0.686552 + 0.354134i
\(465\) 11.1536 + 15.7998i 0.517235 + 0.732698i
\(466\) −10.7698 30.4507i −0.498899 1.41060i
\(467\) 15.0368 + 8.03731i 0.695818 + 0.371922i 0.781076 0.624436i \(-0.214671\pi\)
−0.0852576 + 0.996359i \(0.527171\pi\)
\(468\) −19.6048 + 0.862530i −0.906231 + 0.0398704i
\(469\) −0.550465 0.451755i −0.0254181 0.0208601i
\(470\) −40.0098 + 29.4467i −1.84551 + 1.35827i
\(471\) −15.5142 + 0.397985i −0.714855 + 0.0183382i
\(472\) −28.6594 + 16.7524i −1.31915 + 0.771091i
\(473\) −17.2143 11.5022i −0.791515 0.528873i
\(474\) −2.18220 + 0.597885i −0.100232 + 0.0274618i
\(475\) 1.85618 + 3.47267i 0.0851673 + 0.159337i
\(476\) −0.394751 + 0.473883i −0.0180934 + 0.0217204i
\(477\) −9.92774 27.5543i −0.454560 1.26162i
\(478\) 1.91907 + 1.43421i 0.0877763 + 0.0655992i
\(479\) 6.10055 + 6.10055i 0.278741 + 0.278741i 0.832606 0.553865i \(-0.186848\pi\)
−0.553865 + 0.832606i \(0.686848\pi\)
\(480\) 28.5693 4.45209i 1.30400 0.203209i
\(481\) −14.0195 + 14.0195i −0.639236 + 0.639236i
\(482\) −25.9632 + 3.75412i −1.18259 + 0.170996i
\(483\) −3.82880 + 4.91733i −0.174216 + 0.223746i
\(484\) −10.3967 3.23719i −0.472578 0.147145i
\(485\) −31.1362 + 16.6427i −1.41382 + 0.755704i
\(486\) −7.97217 20.5535i −0.361625 0.932324i
\(487\) −17.2089 + 25.7549i −0.779808 + 1.16706i 0.202406 + 0.979302i \(0.435124\pi\)
−0.982214 + 0.187763i \(0.939876\pi\)
\(488\) 8.32219 + 0.500584i 0.376728 + 0.0226604i
\(489\) 35.2650 0.904653i 1.59474 0.0409098i
\(490\) −4.30069 + 28.2787i −0.194286 + 1.27750i
\(491\) 1.27731 1.55640i 0.0576440 0.0702395i −0.743390 0.668858i \(-0.766783\pi\)
0.801034 + 0.598618i \(0.204283\pi\)
\(492\) 2.32436 + 10.6608i 0.104790 + 0.480626i
\(493\) −1.58203 + 2.95978i −0.0712512 + 0.133302i
\(494\) −2.11598 + 4.43178i −0.0952023 + 0.199395i
\(495\) −1.06989 20.8394i −0.0480879 0.936659i
\(496\) 3.16990 14.7993i 0.142333 0.664509i
\(497\) 1.60045 0.662930i 0.0717902 0.0297365i
\(498\) 10.2841 14.5231i 0.460840 0.650798i
\(499\) 0.344410 + 1.13537i 0.0154179 + 0.0508261i 0.964312 0.264769i \(-0.0852958\pi\)
−0.948894 + 0.315595i \(0.897796\pi\)
\(500\) 1.43217 + 7.48626i 0.0640485 + 0.334796i
\(501\) −5.68354 + 11.3224i −0.253922 + 0.505846i
\(502\) 29.7904 + 18.0044i 1.32961 + 0.803575i
\(503\) −1.17666 + 5.91545i −0.0524645 + 0.263757i −0.998111 0.0614402i \(-0.980431\pi\)
0.945646 + 0.325197i \(0.105431\pi\)
\(504\) −3.09552 0.968787i −0.137885 0.0431532i
\(505\) −45.7870 + 9.10760i −2.03749 + 0.405283i
\(506\) 13.3109 + 28.4124i 0.591742 + 1.26309i
\(507\) 3.01761 2.60882i 0.134017 0.115862i
\(508\) −2.63783 + 4.84923i −0.117035 + 0.215150i
\(509\) 9.04475 + 11.0211i 0.400901 + 0.488500i 0.933859 0.357642i \(-0.116419\pi\)
−0.532957 + 0.846142i \(0.678919\pi\)
\(510\) 4.23371 4.01021i 0.187472 0.177575i
\(511\) 1.45425i 0.0643323i
\(512\) −17.7203 14.0710i −0.783133 0.621854i
\(513\) −5.47777 0.657212i −0.241849 0.0290166i
\(514\) 5.42149 + 1.37914i 0.239132 + 0.0608312i
\(515\) 27.6228 22.6694i 1.21721 0.998935i
\(516\) 26.5678 14.8328i 1.16958 0.652979i
\(517\) 8.14440 26.8485i 0.358190 1.18079i
\(518\) −2.96759 + 1.39028i −0.130388 + 0.0610855i
\(519\) −14.7339 + 38.3221i −0.646746 + 1.68215i
\(520\) 18.5542 20.0246i 0.813655 0.878138i
\(521\) 33.6360 + 6.69061i 1.47362 + 0.293121i 0.865574 0.500782i \(-0.166954\pi\)
0.608045 + 0.793903i \(0.291954\pi\)
\(522\) −17.5622 1.75555i −0.768675 0.0768382i
\(523\) −14.2368 + 1.40220i −0.622531 + 0.0613139i −0.404365 0.914598i \(-0.632507\pi\)
−0.218166 + 0.975912i \(0.570007\pi\)
\(524\) 40.7219 7.79034i 1.77894 0.340323i
\(525\) −0.652281 + 2.36720i −0.0284679 + 0.103313i
\(526\) 0.863672 16.3574i 0.0376579 0.713218i
\(527\) −1.16813 2.82011i −0.0508845 0.122846i
\(528\) −11.4193 + 11.6732i −0.496961 + 0.508009i
\(529\) −25.1046 + 60.6078i −1.09150 + 2.63512i
\(530\) 36.7678 + 17.5550i 1.59709 + 0.762540i
\(531\) −35.1714 1.65005i −1.52631 0.0716059i
\(532\) −0.578172 + 0.569761i −0.0250669 + 0.0247023i
\(533\) 7.96341 + 6.53540i 0.344934 + 0.283080i
\(534\) −10.4968 + 12.1059i −0.454242 + 0.523875i
\(535\) −6.06208 + 4.05055i −0.262087 + 0.175121i
\(536\) 0.316364 5.25953i 0.0136648 0.227177i
\(537\) 1.58514 + 3.56539i 0.0684039 + 0.153858i
\(538\) 38.5323 1.75149i 1.66125 0.0755121i
\(539\) −7.61524 14.2471i −0.328012 0.613667i
\(540\) 27.9869 + 12.5404i 1.20436 + 0.539655i
\(541\) 35.5269 + 3.49910i 1.52742 + 0.150438i 0.826556 0.562855i \(-0.190297\pi\)
0.700866 + 0.713293i \(0.252797\pi\)
\(542\) −4.94279 34.1840i −0.212311 1.46833i
\(543\) 30.1590 6.80741i 1.29425 0.292134i
\(544\) −4.55320 0.307376i −0.195217 0.0131786i
\(545\) 38.0510 38.0510i 1.62992 1.62992i
\(546\) −2.86002 + 1.09483i −0.122398 + 0.0468544i
\(547\) 6.76477 + 0.666271i 0.289241 + 0.0284877i 0.241597 0.970377i \(-0.422329\pi\)
0.0476436 + 0.998864i \(0.484829\pi\)
\(548\) −4.25803 3.54701i −0.181894 0.151521i
\(549\) 7.11435 + 5.25206i 0.303633 + 0.224152i
\(550\) 9.12906 + 8.33522i 0.389264 + 0.355415i
\(551\) −2.45394 + 3.67259i −0.104542 + 0.156458i
\(552\) −46.0859 1.58740i −1.96155 0.0675644i
\(553\) −0.293589 + 0.196170i −0.0124847 + 0.00834200i
\(554\) 13.7561 + 18.6907i 0.584442 + 0.794093i
\(555\) 29.4105 9.75193i 1.24841 0.413946i
\(556\) 19.9947 + 8.45424i 0.847964 + 0.358540i
\(557\) −3.25158 + 6.08328i −0.137774 + 0.257757i −0.941341 0.337458i \(-0.890433\pi\)
0.803567 + 0.595215i \(0.202933\pi\)
\(558\) 11.3678 11.3347i 0.481236 0.479836i
\(559\) 10.9939 26.5417i 0.464993 1.12259i
\(560\) 4.01018 2.06851i 0.169461 0.0874105i
\(561\) −0.559471 + 3.24557i −0.0236209 + 0.137028i
\(562\) −19.0843 21.2120i −0.805024 0.894773i
\(563\) 8.10167 + 26.7076i 0.341445 + 1.12559i 0.944670 + 0.328021i \(0.106382\pi\)
−0.603226 + 0.797571i \(0.706118\pi\)
\(564\) 29.6867 + 28.6184i 1.25004 + 1.20505i
\(565\) −29.4659 + 2.90213i −1.23964 + 0.122094i
\(566\) 5.55582 + 22.5300i 0.233529 + 0.947005i
\(567\) −2.19424 2.64975i −0.0921495 0.111279i
\(568\) 10.9211 + 6.71013i 0.458241 + 0.281551i
\(569\) 23.7851 4.73116i 0.997125 0.198340i 0.330558 0.943786i \(-0.392763\pi\)
0.666567 + 0.745445i \(0.267763\pi\)
\(570\) 6.06257 4.70636i 0.253933 0.197128i
\(571\) −8.21584 + 27.0840i −0.343822 + 1.13343i 0.599172 + 0.800620i \(0.295497\pi\)
−0.942994 + 0.332809i \(0.892003\pi\)
\(572\) −1.62359 + 15.3320i −0.0678856 + 0.641064i
\(573\) −0.0949533 0.762929i −0.00396673 0.0318718i
\(574\) 0.870043 + 1.46371i 0.0363149 + 0.0610942i
\(575\) 34.9083i 1.45578i
\(576\) −7.63696 22.7525i −0.318207 0.948021i
\(577\) 19.7635i 0.822765i 0.911463 + 0.411382i \(0.134954\pi\)
−0.911463 + 0.411382i \(0.865046\pi\)
\(578\) 19.8752 11.8140i 0.826698 0.491396i
\(579\) −0.148318 1.19170i −0.00616388 0.0495255i
\(580\) 19.0933 15.4368i 0.792808 0.640977i
\(581\) 0.806156 2.65754i 0.0334450 0.110253i
\(582\) 17.9700 + 23.1484i 0.744881 + 0.959531i
\(583\) −22.5687 + 4.48919i −0.934699 + 0.185923i
\(584\) 8.71273 6.31457i 0.360535 0.261299i
\(585\) 28.0718 7.09750i 1.16062 0.293446i
\(586\) −14.6819 + 3.62050i −0.606502 + 0.149562i
\(587\) −0.623164 + 0.0613763i −0.0257207 + 0.00253327i −0.110869 0.993835i \(-0.535364\pi\)
0.0851486 + 0.996368i \(0.472864\pi\)
\(588\) 23.7385 0.434943i 0.978961 0.0179367i
\(589\) −1.16620 3.84443i −0.0480523 0.158407i
\(590\) 36.4134 32.7610i 1.49912 1.34875i
\(591\) 2.80624 16.2794i 0.115433 0.669645i
\(592\) −21.2152 11.7426i −0.871938 0.482620i
\(593\) −14.5844 + 35.2099i −0.598910 + 1.44590i 0.275783 + 0.961220i \(0.411063\pi\)
−0.874693 + 0.484677i \(0.838937\pi\)
\(594\) −16.9009 + 3.78896i −0.693451 + 0.155463i
\(595\) 0.428990 0.802583i 0.0175869 0.0329027i
\(596\) 12.7945 + 31.5403i 0.524082 + 1.29194i
\(597\) −0.147091 + 0.0487726i −0.00602005 + 0.00199613i
\(598\) −35.0646 + 25.8071i −1.43390 + 1.05533i
\(599\) 3.06471 2.04777i 0.125221 0.0836698i −0.491383 0.870944i \(-0.663508\pi\)
0.616603 + 0.787274i \(0.288508\pi\)
\(600\) −17.0147 + 6.37076i −0.694622 + 0.260085i
\(601\) −5.06488 + 7.58012i −0.206601 + 0.309200i −0.920271 0.391282i \(-0.872032\pi\)
0.713670 + 0.700482i \(0.247032\pi\)
\(602\) 3.20176 3.50669i 0.130494 0.142922i
\(603\) 3.31924 4.49619i 0.135170 0.183099i
\(604\) 5.94311 0.541407i 0.241822 0.0220295i
\(605\) 15.9896 + 1.57484i 0.650069 + 0.0640262i
\(606\) 13.8533 + 36.1889i 0.562751 + 1.47007i
\(607\) 15.1075 15.1075i 0.613194 0.613194i −0.330583 0.943777i \(-0.607245\pi\)
0.943777 + 0.330583i \(0.107245\pi\)
\(608\) −5.92406 0.989971i −0.240252 0.0401486i
\(609\) −2.68676 + 0.606447i −0.108873 + 0.0245745i
\(610\) −12.1751 + 1.76044i −0.492955 + 0.0712782i
\(611\) 38.7443 + 3.81598i 1.56743 + 0.154378i
\(612\) −3.87302 2.90328i −0.156558 0.117358i
\(613\) 2.11592 + 3.95861i 0.0854611 + 0.159887i 0.921021 0.389513i \(-0.127357\pi\)
−0.835560 + 0.549399i \(0.814857\pi\)
\(614\) −0.0939827 2.06760i −0.00379283 0.0834414i
\(615\) −6.54051 14.7113i −0.263739 0.593217i
\(616\) −1.11482 + 2.29159i −0.0449176 + 0.0923308i
\(617\) −5.29140 + 3.53560i −0.213024 + 0.142338i −0.657505 0.753450i \(-0.728388\pi\)
0.444481 + 0.895788i \(0.353388\pi\)
\(618\) −22.4098 19.4311i −0.901455 0.781634i
\(619\) 9.31388 + 7.64370i 0.374356 + 0.307226i 0.802692 0.596393i \(-0.203400\pi\)
−0.428336 + 0.903619i \(0.640900\pi\)
\(620\) −0.163629 + 22.3313i −0.00657151 + 0.896847i
\(621\) −40.0815 28.0305i −1.60842 1.12483i
\(622\) −7.54028 + 15.7926i −0.302338 + 0.633227i
\(623\) −0.956900 + 2.31016i −0.0383374 + 0.0925546i
\(624\) −18.9780 12.3811i −0.759726 0.495640i
\(625\) −11.3999 27.5217i −0.455995 1.10087i
\(626\) −10.3707 0.547572i −0.414496 0.0218854i
\(627\) −1.15148 + 4.17883i −0.0459855 + 0.166887i
\(628\) −14.8267 10.0648i −0.591649 0.401629i
\(629\) −4.86688 + 0.479346i −0.194055 + 0.0191128i
\(630\) 4.76221 + 0.476040i 0.189731 + 0.0189659i
\(631\) −0.922941 0.183584i −0.0367417 0.00730838i 0.176685 0.984267i \(-0.443463\pi\)
−0.213427 + 0.976959i \(0.568463\pi\)
\(632\) −2.45010 0.907157i −0.0974598 0.0360848i
\(633\) 11.8584 30.8431i 0.471329 1.22590i
\(634\) −7.91817 16.9015i −0.314471 0.671244i
\(635\) 2.36443 7.79448i 0.0938296 0.309315i
\(636\) 9.22266 32.5373i 0.365702 1.29019i
\(637\) 17.3281 14.2208i 0.686566 0.563450i
\(638\) −3.41862 + 13.4388i −0.135344 + 0.532047i
\(639\) 5.83989 + 12.2772i 0.231022 + 0.485679i
\(640\) 29.8056 + 15.0441i 1.17817 + 0.594669i
\(641\) 30.7807i 1.21576i −0.794027 0.607882i \(-0.792019\pi\)
0.794027 0.607882i \(-0.207981\pi\)
\(642\) 4.16166 + 4.39359i 0.164248 + 0.173401i
\(643\) −27.5308 33.5464i −1.08571 1.32294i −0.942857 0.333197i \(-0.891873\pi\)
−0.142852 0.989744i \(-0.545627\pi\)
\(644\) −6.90153 + 2.03846i −0.271958 + 0.0803264i
\(645\) −33.9640 + 29.3630i −1.33733 + 1.15617i
\(646\) −1.09694 + 0.513903i −0.0431584 + 0.0202192i
\(647\) 9.26707 1.84334i 0.364326 0.0724690i −0.00953276 0.999955i \(-0.503034\pi\)
0.373859 + 0.927486i \(0.378034\pi\)
\(648\) 6.34751 24.6518i 0.249354 0.968412i
\(649\) −5.39688 + 27.1319i −0.211846 + 1.06502i
\(650\) −8.87252 + 14.6807i −0.348009 + 0.575823i
\(651\) 1.12389 2.23894i 0.0440488 0.0877509i
\(652\) 33.7023 + 22.8781i 1.31988 + 0.895976i
\(653\) 9.47826 + 31.2456i 0.370913 + 1.22274i 0.921638 + 0.388050i \(0.126851\pi\)
−0.550726 + 0.834686i \(0.685649\pi\)
\(654\) −36.4527 25.8128i −1.42542 1.00936i
\(655\) −56.5187 + 23.4108i −2.20837 + 0.914736i
\(656\) −4.99157 + 11.5683i −0.194888 + 0.451664i
\(657\) 11.3981 0.585175i 0.444681 0.0228299i
\(658\) 5.80703 + 2.77260i 0.226382 + 0.108087i
\(659\) −21.0584 + 39.3975i −0.820319 + 1.53471i 0.0245264 + 0.999699i \(0.492192\pi\)
−0.844846 + 0.535010i \(0.820308\pi\)
\(660\) 13.0172 20.2760i 0.506692 0.789244i
\(661\) 2.07981 2.53426i 0.0808954 0.0985713i −0.730990 0.682388i \(-0.760941\pi\)
0.811885 + 0.583817i \(0.198441\pi\)
\(662\) 33.7854 + 5.13816i 1.31311 + 0.199700i
\(663\) −4.56853 + 0.117197i −0.177427 + 0.00455154i
\(664\) 19.4223 6.70956i 0.753733 0.260381i
\(665\) 0.665420 0.995871i 0.0258039 0.0386182i
\(666\) −12.0908 22.6998i −0.468510 0.879599i
\(667\) −34.5343 + 18.4590i −1.33717 + 0.714734i
\(668\) −12.9515 + 6.80119i −0.501109 + 0.263146i
\(669\) −14.0305 + 18.0195i −0.542452 + 0.696672i
\(670\) 1.11258 + 7.69453i 0.0429828 + 0.297266i
\(671\) 4.91273 4.91273i 0.189654 0.189654i
\(672\) −2.25310 2.99187i −0.0869151 0.115414i
\(673\) 19.6878 + 19.6878i 0.758911 + 0.758911i 0.976124 0.217213i \(-0.0696968\pi\)
−0.217213 + 0.976124i \(0.569697\pi\)
\(674\) 26.8037 35.8652i 1.03244 1.38148i
\(675\) −18.8160 4.15988i −0.724229 0.160114i
\(676\) 4.58707 0.417874i 0.176426 0.0160721i
\(677\) −13.5717 25.3908i −0.521602 0.975850i −0.995454 0.0952447i \(-0.969637\pi\)
0.473851 0.880605i \(-0.342863\pi\)
\(678\) 6.49417 + 23.7028i 0.249407 + 0.910300i
\(679\) 3.80248 + 2.54073i 0.145926 + 0.0975044i
\(680\) 6.67118 0.914760i 0.255828 0.0350794i
\(681\) −43.9918 + 1.12852i −1.68577 + 0.0432451i
\(682\) −7.47604 10.1578i −0.286272 0.388964i
\(683\) −12.2008 10.0130i −0.466852 0.383136i 0.371352 0.928492i \(-0.378894\pi\)
−0.838204 + 0.545356i \(0.816394\pi\)
\(684\) −4.69830 4.30231i −0.179644 0.164503i
\(685\) 7.21155 + 3.85465i 0.275539 + 0.147279i
\(686\) 7.06075 2.49724i 0.269581 0.0953449i
\(687\) −5.54144 7.84982i −0.211419 0.299489i
\(688\) 34.9118 + 3.95587i 1.33100 + 0.150816i
\(689\) −12.2192 29.4997i −0.465513 1.12385i
\(690\) 67.0687 11.4607i 2.55326 0.436303i
\(691\) 33.9725 10.3054i 1.29238 0.392038i 0.432081 0.901835i \(-0.357780\pi\)
0.860295 + 0.509797i \(0.170280\pi\)
\(692\) −39.6106 + 26.0492i −1.50577 + 0.990241i
\(693\) −2.31533 + 1.39471i −0.0879523 + 0.0529808i
\(694\) −2.83428 11.4936i −0.107588 0.436290i
\(695\) −31.4159 6.24900i −1.19167 0.237038i
\(696\) −15.2996 13.4636i −0.579931 0.510338i
\(697\) 0.495733 + 2.49222i 0.0187772 + 0.0943995i
\(698\) −9.33400 3.37838i −0.353297 0.127874i
\(699\) 29.9253 25.8714i 1.13188 0.978545i
\(700\) −2.20482 + 1.78258i −0.0833344 + 0.0673750i
\(701\) −16.7608 + 13.7552i −0.633046 + 0.519528i −0.895296 0.445472i \(-0.853036\pi\)
0.262249 + 0.965000i \(0.415536\pi\)
\(702\) −9.73185 21.9756i −0.367305 0.829416i
\(703\) −6.43641 −0.242754
\(704\) −18.5701 + 3.27125i −0.699888 + 0.123290i
\(705\) −51.4391 32.4939i −1.93731 1.22379i
\(706\) 18.3183 10.8885i 0.689418 0.409796i
\(707\) 3.83628 + 4.67453i 0.144278 + 0.175804i
\(708\) −31.8956 25.2125i −1.19871 0.947545i
\(709\) 48.0325 + 14.5705i 1.80390 + 0.547207i 0.998936 0.0461192i \(-0.0146854\pi\)
0.804962 + 0.593326i \(0.202185\pi\)
\(710\) −17.7839 6.43677i −0.667418 0.241568i
\(711\) −1.65567 2.22214i −0.0620925 0.0833369i
\(712\) −17.9956 + 4.29805i −0.674415 + 0.161076i
\(713\) 6.94829 34.9314i 0.260216 1.30819i
\(714\) −0.716640 0.238782i −0.0268196 0.00893621i
\(715\) −2.22981 22.6396i −0.0833900 0.846673i
\(716\) −0.911335 + 4.41238i −0.0340582 + 0.164898i
\(717\) −0.779474 + 2.82880i −0.0291100 + 0.105643i
\(718\) 24.1800 21.7547i 0.902391 0.811877i
\(719\) −13.3993 + 5.55018i −0.499710 + 0.206987i −0.618278 0.785959i \(-0.712170\pi\)
0.118568 + 0.992946i \(0.462170\pi\)
\(720\) 17.8261 + 30.5985i 0.664341 + 1.14034i
\(721\) −4.27643 1.77136i −0.159263 0.0659687i
\(722\) 23.8293 8.42791i 0.886834 0.313654i
\(723\) −15.8672 27.9376i −0.590107 1.03901i
\(724\) 32.8822 + 13.9034i 1.22206 + 0.516716i
\(725\) −9.78740 + 11.9260i −0.363495 + 0.442920i
\(726\) −0.947028 13.3026i −0.0351475 0.493707i
\(727\) 15.5238 + 23.2331i 0.575747 + 0.861666i 0.999017 0.0443374i \(-0.0141177\pi\)
−0.423270 + 0.906004i \(0.639118\pi\)
\(728\) −3.42054 0.896867i −0.126774 0.0332401i
\(729\) 19.8852 18.2642i 0.736488 0.676451i
\(730\) −10.7054 + 11.7250i −0.396226 + 0.433962i
\(731\) 6.24944 3.34039i 0.231144 0.123549i
\(732\) 3.14259 + 9.71536i 0.116154 + 0.359090i
\(733\) −4.63361 + 47.0458i −0.171146 + 1.73768i 0.399723 + 0.916636i \(0.369106\pi\)
−0.570870 + 0.821041i \(0.693394\pi\)
\(734\) −15.3234 + 20.5038i −0.565596 + 0.756808i
\(735\) −34.1728 + 7.71338i −1.26048 + 0.284512i
\(736\) −42.1802 32.4973i −1.55478 1.19787i
\(737\) −3.10479 3.10479i −0.114366 0.114366i
\(738\) −11.1221 + 7.40817i −0.409411 + 0.272698i
\(739\) 0.620510 6.30014i 0.0228258 0.231754i −0.977003 0.213228i \(-0.931602\pi\)
0.999828 0.0185268i \(-0.00589759\pi\)
\(740\) 34.1609 + 10.6365i 1.25578 + 0.391007i
\(741\) −5.99892 0.435850i −0.220376 0.0160114i
\(742\) −0.239650 5.27225i −0.00879784 0.193550i
\(743\) −27.4882 18.3670i −1.00844 0.673820i −0.0624635 0.998047i \(-0.519896\pi\)
−0.945979 + 0.324227i \(0.894896\pi\)
\(744\) 18.2940 2.98831i 0.670692 0.109557i
\(745\) −27.9015 41.7576i −1.02223 1.52988i
\(746\) 22.2535 + 3.38437i 0.814760 + 0.123911i
\(747\) 21.1536 + 5.24909i 0.773968 + 0.192054i
\(748\) −2.70872 + 2.66931i −0.0990405 + 0.0975996i
\(749\) 0.832893 + 0.445191i 0.0304333 + 0.0162669i
\(750\) −7.89949 + 4.97401i −0.288449 + 0.181625i
\(751\) −40.9179 16.9488i −1.49312 0.618469i −0.521124 0.853481i \(-0.674487\pi\)
−0.971992 + 0.235012i \(0.924487\pi\)
\(752\) 8.60370 + 46.8302i 0.313745 + 1.70772i
\(753\) −7.24199 + 42.0119i −0.263913 + 1.53100i
\(754\) −19.2150 1.01455i −0.699771 0.0369479i
\(755\) −8.42630 + 2.55609i −0.306664 + 0.0930256i
\(756\) −0.276326 3.96293i −0.0100499 0.144130i
\(757\) 2.22745 + 22.6157i 0.0809582 + 0.821982i 0.946834 + 0.321723i \(0.104262\pi\)
−0.865876 + 0.500259i \(0.833238\pi\)
\(758\) −26.2904 + 43.5006i −0.954909 + 1.58001i
\(759\) −26.4666 + 27.8602i −0.960675 + 1.01126i
\(760\) 8.85582 0.337540i 0.321234 0.0122438i
\(761\) −3.99448 20.0816i −0.144800 0.727957i −0.983146 0.182820i \(-0.941478\pi\)
0.838347 0.545137i \(-0.183522\pi\)
\(762\) −6.70791 0.844780i −0.243002 0.0306032i
\(763\) −6.67036 2.02343i −0.241483 0.0732532i
\(764\) 0.424209 0.779840i 0.0153473 0.0282136i
\(765\) 6.46307 + 3.03937i 0.233673 + 0.109889i
\(766\) −1.30955 + 5.14791i −0.0473158 + 0.186002i
\(767\) −38.3863 −1.38605
\(768\) 8.14165 26.4899i 0.293787 0.955871i
\(769\) 25.1594 0.907270 0.453635 0.891188i \(-0.350127\pi\)
0.453635 + 0.891188i \(0.350127\pi\)
\(770\) 0.927003 3.64411i 0.0334069 0.131325i
\(771\) 0.846190 + 6.79895i 0.0304748 + 0.244858i
\(772\) 0.662618 1.21812i 0.0238481 0.0438410i
\(773\) 17.2508 + 5.23299i 0.620470 + 0.188217i 0.584841 0.811148i \(-0.301157\pi\)
0.0356283 + 0.999365i \(0.488657\pi\)
\(774\) 28.7729 + 23.6835i 1.03422 + 0.851287i
\(775\) −2.73757 13.7627i −0.0983366 0.494371i
\(776\) 1.28881 + 33.8137i 0.0462655 + 1.21384i
\(777\) −2.90991 2.76435i −0.104392 0.0991704i
\(778\) 12.5245 20.7233i 0.449024 0.742965i
\(779\) 0.327801 + 3.32822i 0.0117447 + 0.119246i
\(780\) 31.1186 + 12.2268i 1.11423 + 0.437790i
\(781\) 10.2215 3.10067i 0.365755 0.110951i
\(782\) −10.7241 0.566230i −0.383492 0.0202484i
\(783\) −5.83431 20.8141i −0.208501 0.743836i
\(784\) 22.5695 + 15.5636i 0.806054 + 0.555844i
\(785\) 24.4287 + 10.1187i 0.871897 + 0.361152i
\(786\) 27.0564 + 42.9697i 0.965069 + 1.53268i
\(787\) 9.54966 + 5.10440i 0.340409 + 0.181952i 0.632739 0.774365i \(-0.281931\pi\)
−0.292330 + 0.956317i \(0.594431\pi\)
\(788\) 13.5866 13.3889i 0.484002 0.476960i
\(789\) 19.0421 6.31397i 0.677916 0.224783i
\(790\) 3.81118 + 0.579613i 0.135596 + 0.0206217i
\(791\) 2.13078 + 3.18894i 0.0757618 + 0.113386i
\(792\) −18.4095 7.81561i −0.654154 0.277716i
\(793\) 8.01592 + 5.35607i 0.284654 + 0.190200i
\(794\) −1.90636 41.9394i −0.0676542 1.48838i
\(795\) −3.61599 + 49.7694i −0.128246 + 1.76514i
\(796\) −0.170850 0.0531968i −0.00605561 0.00188551i
\(797\) 0.00939373 0.0953761i 0.000332743 0.00337840i −0.995017 0.0997062i \(-0.968210\pi\)
0.995350 + 0.0963278i \(0.0307097\pi\)
\(798\) −0.907841 0.405202i −0.0321372 0.0143440i
\(799\) 6.79028 + 6.79028i 0.240223 + 0.240223i
\(800\) −20.2534 5.46936i −0.716067 0.193371i
\(801\) −18.4915 6.57036i −0.653366 0.232152i
\(802\) 6.33846 8.48131i 0.223819 0.299486i
\(803\) 0.878911 8.92373i 0.0310161 0.314912i
\(804\) 6.14000 1.98609i 0.216541 0.0700439i
\(805\) 9.36444 5.00540i 0.330053 0.176417i
\(806\) 11.8005 12.9244i 0.415655 0.455242i
\(807\) 19.1917 + 43.1670i 0.675579 + 1.51955i
\(808\) −11.3484 + 43.2814i −0.399235 + 1.52264i
\(809\) 26.3463 + 39.4300i 0.926286 + 1.38629i 0.922376 + 0.386293i \(0.126245\pi\)
0.00391045 + 0.999992i \(0.498755\pi\)
\(810\) −1.81483 + 37.5166i −0.0637665 + 1.31820i
\(811\) −23.3614 + 28.4659i −0.820329 + 0.999574i 0.179545 + 0.983750i \(0.442537\pi\)
−0.999875 + 0.0158245i \(0.994963\pi\)
\(812\) −2.92935 1.23860i −0.102800 0.0434664i
\(813\) 36.7834 20.8912i 1.29005 0.732687i
\(814\) −19.0503 + 6.73767i −0.667711 + 0.236155i
\(815\) −55.5284 23.0006i −1.94508 0.805677i
\(816\) −1.68115 5.33037i −0.0588522 0.186600i
\(817\) 8.61634 3.56901i 0.301448 0.124864i
\(818\) 23.1067 20.7890i 0.807905 0.726869i
\(819\) −2.52493 2.77350i −0.0882281 0.0969139i
\(820\) 3.76029 18.2061i 0.131315 0.635783i
\(821\) −3.58729 36.4224i −0.125197 1.27115i −0.828390 0.560151i \(-0.810743\pi\)
0.703193 0.710999i \(-0.251757\pi\)
\(822\) 2.14556 6.43931i 0.0748350 0.224597i
\(823\) 9.88336 49.6870i 0.344512 1.73198i −0.288179 0.957577i \(-0.593050\pi\)
0.632691 0.774404i \(-0.281950\pi\)
\(824\) −7.95629 33.3125i −0.277170 1.16050i
\(825\) −5.43326 + 14.1316i −0.189162 + 0.492000i
\(826\) −5.96605 2.15937i −0.207585 0.0751343i
\(827\) −44.2486 13.4227i −1.53867 0.466751i −0.596707 0.802459i \(-0.703525\pi\)
−0.941966 + 0.335708i \(0.891025\pi\)
\(828\) −18.7540 53.2723i −0.651747 1.85134i
\(829\) 27.3502 + 33.3263i 0.949911 + 1.15747i 0.987411 + 0.158173i \(0.0505605\pi\)
−0.0375002 + 0.999297i \(0.511939\pi\)
\(830\) −26.0631 + 15.4921i −0.904663 + 0.537739i
\(831\) −15.1797 + 24.0300i −0.526577 + 0.833590i
\(832\) −9.47916 24.3875i −0.328631 0.845485i
\(833\) 5.52924 0.191577
\(834\) −0.720528 + 26.5777i −0.0249498 + 0.920311i
\(835\) 16.6853 13.6933i 0.577419 0.473875i
\(836\) −3.89218 + 3.14679i −0.134614 + 0.108834i
\(837\) 18.0005 + 7.90786i 0.622188 + 0.273336i
\(838\) −28.4716 10.3051i −0.983536 0.355985i
\(839\) −2.93050 14.7326i −0.101172 0.508626i −0.997827 0.0658951i \(-0.979010\pi\)
0.896655 0.442731i \(-0.145990\pi\)
\(840\) 4.14870 + 3.65085i 0.143144 + 0.125966i
\(841\) 11.4691 + 2.28135i 0.395487 + 0.0786673i
\(842\) −3.56181 14.4438i −0.122748 0.497768i
\(843\) 15.6778 31.2322i 0.539971 1.07569i
\(844\) 31.8801 20.9654i 1.09736 0.721657i
\(845\) −6.50367 + 1.97287i −0.223733 + 0.0678687i
\(846\) −19.3943 + 46.6298i −0.666789 + 1.60316i
\(847\) −0.796447 1.92279i −0.0273663 0.0660680i
\(848\) 30.5466 24.3286i 1.04897 0.835449i
\(849\) −23.2177 + 16.3901i −0.796831 + 0.562508i
\(850\) −3.98895 + 1.41081i −0.136820 + 0.0483902i
\(851\) −50.3232 26.8983i −1.72506 0.922063i
\(852\) −2.78007 + 15.4505i −0.0952437 + 0.529325i
\(853\) −1.41637 1.16239i −0.0484957 0.0397994i 0.609833 0.792530i \(-0.291236\pi\)
−0.658329 + 0.752730i \(0.728736\pi\)
\(854\) 0.944546 + 1.28337i 0.0323217 + 0.0439161i
\(855\) 8.07316 + 4.81467i 0.276096 + 0.164658i
\(856\) 0.949306 + 6.92312i 0.0324466 + 0.236627i
\(857\) 26.7469 + 17.8717i 0.913657 + 0.610486i 0.921032 0.389487i \(-0.127348\pi\)
−0.00737490 + 0.999973i \(0.502348\pi\)
\(858\) −18.2116 + 4.98968i −0.621735 + 0.170345i
\(859\) −19.4331 36.3567i −0.663047 1.24047i −0.958493 0.285115i \(-0.907968\pi\)
0.295446 0.955359i \(-0.404532\pi\)
\(860\) −51.6287 + 4.70329i −1.76053 + 0.160381i
\(861\) −1.28123 + 1.64548i −0.0436641 + 0.0560778i
\(862\) 21.1343 28.2792i 0.719837 0.963193i
\(863\) 4.92068 + 4.92068i 0.167502 + 0.167502i 0.785880 0.618379i \(-0.212210\pi\)
−0.618379 + 0.785880i \(0.712210\pi\)
\(864\) 22.5429 18.8631i 0.766925 0.641736i
\(865\) 49.4635 49.4635i 1.68181 1.68181i
\(866\) 3.74306 + 25.8867i 0.127194 + 0.879666i
\(867\) 22.3433 + 17.3972i 0.758819 + 0.590841i
\(868\) 2.56109 1.34490i 0.0869292 0.0456489i
\(869\) −1.92011 + 1.02632i −0.0651353 + 0.0348156i
\(870\) 26.1265 + 14.8889i 0.885771 + 0.504782i
\(871\) 3.38498 5.06598i 0.114696 0.171654i
\(872\) −16.8408 48.7496i −0.570303 1.65087i
\(873\) −18.3836 + 30.8253i −0.622190 + 1.04328i
\(874\) −13.9732 2.12507i −0.472650 0.0718817i
\(875\) −0.924179 + 1.12612i −0.0312430 + 0.0380697i
\(876\) 11.0900 + 7.11973i 0.374696 + 0.240553i
\(877\) 15.7010 29.3744i 0.530184 0.991904i −0.464166 0.885748i \(-0.653646\pi\)
0.994350 0.106155i \(-0.0338541\pi\)
\(878\) 37.9218 + 18.1060i 1.27980 + 0.611047i
\(879\) −10.6808 15.1300i −0.360254 0.510324i
\(880\) 25.8578 10.2694i 0.871666 0.346180i
\(881\) 0.0120815 0.00500431i 0.000407035 0.000168599i −0.382480 0.923964i \(-0.624930\pi\)
0.382887 + 0.923795i \(0.374930\pi\)
\(882\) 11.0887 + 26.8812i 0.373377 + 0.905139i
\(883\) 1.49529 + 4.92930i 0.0503204 + 0.165884i 0.978499 0.206250i \(-0.0661261\pi\)
−0.928179 + 0.372134i \(0.878626\pi\)
\(884\) −4.36609 2.96383i −0.146847 0.0996843i
\(885\) 53.6145 + 26.9131i 1.80223 + 0.904675i
\(886\) 15.1008 24.9862i 0.507323 0.839427i
\(887\) 1.54918 7.78828i 0.0520165 0.261505i −0.946022 0.324101i \(-0.894938\pi\)
0.998039 + 0.0625965i \(0.0199381\pi\)
\(888\) 3.92656 29.4371i 0.131767 0.987843i
\(889\) −1.03481 + 0.205836i −0.0347064 + 0.00690353i
\(890\) 24.7212 11.5816i 0.828657 0.388217i
\(891\) −11.8631 17.5858i −0.397429 0.589147i
\(892\) −25.2905 + 7.46988i −0.846789 + 0.250110i
\(893\) 8.01785 + 9.76978i 0.268307 + 0.326933i
\(894\) −30.2645 + 28.6669i −1.01220 + 0.958763i
\(895\) 6.64795i 0.222216i
\(896\) −0.101373 4.32358i −0.00338662 0.144441i
\(897\) −45.0812 28.4777i −1.50522 0.950843i
\(898\) 0.391091 1.53740i 0.0130509 0.0513038i
\(899\) 12.1677 9.98576i 0.405815 0.333044i
\(900\) −14.8586 16.5636i −0.495286 0.552119i
\(901\) 2.28625 7.53676i 0.0761661 0.251086i
\(902\) 4.45422 + 9.50761i 0.148309 + 0.316569i
\(903\) 5.42830 + 2.08705i 0.180642 + 0.0694525i
\(904\) −9.85345 + 26.6128i −0.327721 + 0.885127i
\(905\) −51.6649 10.2768i −1.71740 0.341612i
\(906\) 3.26945 + 6.53690i 0.108620 + 0.217174i
\(907\) −2.92834 + 0.288416i −0.0972340 + 0.00957671i −0.146517 0.989208i \(-0.546806\pi\)
0.0492831 + 0.998785i \(0.484306\pi\)
\(908\) −42.0424 28.5396i −1.39523 0.947121i
\(909\) −35.0941 + 31.9489i −1.16400 + 1.05968i
\(910\) 5.21042 + 0.275110i 0.172724 + 0.00911980i
\(911\) 10.6580 + 25.7307i 0.353115 + 0.852495i 0.996232 + 0.0867269i \(0.0276407\pi\)
−0.643117 + 0.765768i \(0.722359\pi\)
\(912\) −1.51432 7.19851i −0.0501442 0.238367i
\(913\) 6.55296 15.8203i 0.216871 0.523574i
\(914\) −9.13766 + 19.1382i −0.302247 + 0.633036i
\(915\) −7.44069 13.1009i −0.245982 0.433103i
\(916\) 0.0812960 11.0949i 0.00268610 0.366585i
\(917\) 6.12556 + 5.02712i 0.202284 + 0.166010i
\(918\) 1.58315 5.71294i 0.0522518 0.188555i
\(919\) −28.7878 + 19.2354i −0.949623 + 0.634518i −0.930887 0.365307i \(-0.880964\pi\)
−0.0187356 + 0.999824i \(0.505964\pi\)
\(920\) 70.6501 + 34.3702i 2.32926 + 1.13315i
\(921\) 2.31629 1.02980i 0.0763243 0.0339331i
\(922\) 1.64892 + 36.2759i 0.0543044 + 1.19468i
\(923\) 6.98694 + 13.0716i 0.229978 + 0.430259i
\(924\) −3.11116 0.248970i −0.102350 0.00819052i
\(925\) −22.3733 2.20358i −0.735630 0.0724532i
\(926\) −7.74111 + 1.11932i −0.254389 + 0.0367830i
\(927\) 12.1627 34.2304i 0.399475 1.12427i
\(928\) −5.29894 22.9286i −0.173946 0.752667i
\(929\) 37.2585 37.2585i 1.22241 1.22241i 0.255640 0.966772i \(-0.417714\pi\)
0.966772 0.255640i \(-0.0822862\pi\)
\(930\) −25.5433 + 9.77809i −0.837598 + 0.320636i
\(931\) 7.24211 + 0.713286i 0.237351 + 0.0233770i
\(932\) 45.4895 4.14402i 1.49006 0.135742i
\(933\) −21.3771 1.55315i −0.699856 0.0508479i
\(934\) −16.2582 + 17.8066i −0.531985 + 0.582650i
\(935\) 3.11747 4.66562i 0.101952 0.152582i
\(936\) 5.65304 27.1703i 0.184775 0.888089i
\(937\) 14.4873 9.68007i 0.473278 0.316234i −0.295956 0.955202i \(-0.595638\pi\)
0.769234 + 0.638967i \(0.220638\pi\)
\(938\) 0.811078 0.596943i 0.0264826 0.0194909i
\(939\) −4.00309 12.0728i −0.130636 0.393980i
\(940\) −26.4092 65.1025i −0.861372 2.12341i
\(941\) −11.5317 + 21.5742i −0.375922 + 0.703300i −0.996742 0.0806524i \(-0.974300\pi\)
0.620820 + 0.783953i \(0.286800\pi\)
\(942\) 4.86354 21.4019i 0.158463 0.697312i
\(943\) −11.3460 + 27.3917i −0.369477 + 0.891997i
\(944\) −12.9681 45.1202i −0.422077 1.46854i
\(945\) 1.58205 + 5.64403i 0.0514641 + 0.183600i
\(946\) 21.7663 19.5830i 0.707683 0.636700i
\(947\) 6.68458 + 22.0361i 0.217220 + 0.716077i 0.996046 + 0.0888379i \(0.0283153\pi\)
−0.778826 + 0.627240i \(0.784185\pi\)
\(948\) −0.0586181 3.19929i −0.00190383 0.103908i
\(949\) 12.3827 1.21959i 0.401960 0.0395896i
\(950\) −5.40667 + 1.33327i −0.175415 + 0.0432569i
\(951\) 15.7440 16.5730i 0.510533 0.537416i
\(952\) −0.511856 0.706251i −0.0165894 0.0228897i
\(953\) −15.7852 + 3.13987i −0.511333 + 0.101710i −0.444012 0.896021i \(-0.646445\pi\)
−0.0673210 + 0.997731i \(0.521445\pi\)
\(954\) 41.2262 3.99982i 1.33475 0.129499i
\(955\) −0.380241 + 1.25349i −0.0123043 + 0.0405619i
\(956\) −2.63476 + 2.13017i −0.0852141 + 0.0688947i
\(957\) −16.8533 + 2.09754i −0.544789 + 0.0678038i
\(958\) −10.4881 + 6.23424i −0.338856 + 0.201419i
\(959\) 1.05921i 0.0342037i
\(960\) −3.85879 + 40.7082i −0.124542 + 1.31385i
\(961\) 16.6833i 0.538170i
\(962\) −14.3268 24.1026i −0.461913 0.777098i
\(963\) −3.15415 + 6.70715i −0.101641 + 0.216135i
\(964\) 3.90680 36.8931i 0.125830 1.18825i
\(965\) −0.593940 + 1.95796i −0.0191196 + 0.0630289i
\(966\) −5.40460 6.96203i −0.173890 0.224000i
\(967\) −21.4836 + 4.27335i −0.690865 + 0.137422i −0.528022 0.849231i \(-0.677066\pi\)
−0.162843 + 0.986652i \(0.552066\pi\)
\(968\) 8.06158 13.1207i 0.259109 0.421716i
\(969\) −1.07562 1.02181i −0.0345538 0.0328253i
\(970\) −11.9542 48.4766i −0.383826 1.55649i
\(971\) −3.62883 + 0.357409i −0.116455 + 0.0114698i −0.156077 0.987745i \(-0.549885\pi\)
0.0396218 + 0.999215i \(0.487385\pi\)
\(972\) 30.9493 3.76041i 0.992699 0.120615i
\(973\) 1.20443 + 3.97049i 0.0386124 + 0.127288i
\(974\) −29.2988 32.5653i −0.938795 1.04346i
\(975\) −20.7033 3.56884i −0.663038 0.114294i
\(976\) −3.58761 + 11.2316i −0.114837 + 0.359513i
\(977\) 1.87093 4.51682i 0.0598563 0.144506i −0.891122 0.453764i \(-0.850081\pi\)
0.950978 + 0.309258i \(0.100081\pi\)
\(978\) −11.0552 + 48.6483i −0.353507 + 1.55560i
\(979\) −7.26802 + 13.5975i −0.232287 + 0.434578i
\(980\) −37.2584 15.7537i −1.19017 0.503235i
\(981\) 13.1751 53.0949i 0.420649 1.69519i
\(982\) 1.68782 + 2.29327i 0.0538604 + 0.0731811i
\(983\) 21.7516 14.5339i 0.693767 0.463560i −0.158029 0.987435i \(-0.550514\pi\)
0.851796 + 0.523874i \(0.175514\pi\)
\(984\) −15.4217 0.531191i −0.491625 0.0169337i
\(985\) −15.6368 + 23.4022i −0.498231 + 0.745655i
\(986\) −3.50499 3.20020i −0.111622 0.101915i
\(987\) −0.571102 + 7.86048i −0.0181784 + 0.250202i
\(988\) −5.33629 4.44522i −0.169770 0.141421i
\(989\) 82.2823 + 8.10410i 2.61642 + 0.257695i
\(990\) 28.9347 + 5.79928i 0.919604 + 0.184313i
\(991\) 20.8768 20.8768i 0.663174 0.663174i −0.292953 0.956127i \(-0.594638\pi\)
0.956127 + 0.292953i \(0.0946380\pi\)
\(992\) 19.1782 + 9.50432i 0.608909 + 0.301762i
\(993\) 9.21539 + 40.8271i 0.292441 + 1.29561i
\(994\) 0.350590 + 2.42465i 0.0111200 + 0.0769054i
\(995\) 0.262757 + 0.0258793i 0.00832997 + 0.000820431i
\(996\) 16.3194 + 19.1585i 0.517099 + 0.607059i
\(997\) −12.4958 23.3780i −0.395746 0.740389i 0.602590 0.798051i \(-0.294135\pi\)
−0.998336 + 0.0576618i \(0.981635\pi\)
\(998\) −1.67617 + 0.0761905i −0.0530583 + 0.00241177i
\(999\) 20.4954 23.9195i 0.648445 0.756780i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 384.2.w.a.323.27 yes 992
3.2 odd 2 inner 384.2.w.a.323.36 yes 992
128.107 odd 32 inner 384.2.w.a.107.36 yes 992
384.107 even 32 inner 384.2.w.a.107.27 992
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.w.a.107.27 992 384.107 even 32 inner
384.2.w.a.107.36 yes 992 128.107 odd 32 inner
384.2.w.a.323.27 yes 992 1.1 even 1 trivial
384.2.w.a.323.36 yes 992 3.2 odd 2 inner