Properties

Label 384.2.w.a.107.27
Level $384$
Weight $2$
Character 384.107
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

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 107.27
Character \(\chi\) \(=\) 384.107
Dual form 384.2.w.a.323.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.348649 - 1.37056i) q^{2} +(-1.71879 - 0.213919i) q^{3} +(-1.75689 + 0.955692i) q^{4} +(2.82396 - 0.856639i) q^{5} +(0.306066 + 2.43029i) q^{6} +(-0.0745750 + 0.374914i) q^{7} +(1.92237 + 2.07472i) q^{8} +(2.90848 + 0.735362i) q^{9} +O(q^{10})\) \(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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} + O(q^{10}) \) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{32}\right)\) \(-1\)

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 0.413343 0.910575i \(-0.364361\pi\)
0.849571 + 0.527475i \(0.176861\pi\)
\(6\) 0.306066 + 2.43029i 0.124951 + 0.992163i
\(7\) −0.0745750 + 0.374914i −0.0281867 + 0.141704i −0.992316 0.123729i \(-0.960515\pi\)
0.964129 + 0.265433i \(0.0855148\pi\)
\(8\) 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 0.895410 + 0.445242i \(0.146882\pi\)
−0.965068 + 0.262001i \(0.915618\pi\)
\(12\) 3.22416 1.26680i 0.930735 0.365695i
\(13\) 3.12979 + 0.949411i 0.868048 + 0.263319i 0.692734 0.721193i \(-0.256406\pi\)
0.175314 + 0.984513i \(0.443906\pi\)
\(14\) 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 −0.290464 0.956886i \(-0.593810\pi\)
0.471231 + 0.882010i \(0.343810\pi\)
\(18\) −0.00617823 4.24264i −0.00145622 0.999999i
\(19\) 0.936386 0.500509i 0.214822 0.114825i −0.360477 0.932768i \(-0.617386\pi\)
0.575298 + 0.817944i \(0.304886\pi\)
\(20\) −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 0.385402 0.922749i \(-0.374063\pi\)
0.705022 0.709185i \(-0.250937\pi\)
\(24\) −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 −0.955811 0.293983i \(-0.905019\pi\)
0.880092 0.474803i \(-0.157481\pi\)
\(30\) 2.94620 + 6.60086i 0.537900 + 1.20515i
\(31\) −2.67551 + 2.67551i −0.480536 + 0.480536i −0.905303 0.424767i \(-0.860356\pi\)
0.424767 + 0.905303i \(0.360356\pi\)
\(32\) −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 −0.0307540 0.999527i \(-0.509791\pi\)
−0.848162 + 0.529736i \(0.822291\pi\)
\(38\) −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 −0.669280 0.743010i \(-0.733397\pi\)
0.942574 + 0.333996i \(0.108397\pi\)
\(42\) −0.933976 0.0664907i −0.144116 0.0102597i
\(43\) 5.57238 + 6.78997i 0.849780 + 1.03546i 0.998912 + 0.0466430i \(0.0148523\pi\)
−0.149131 + 0.988817i \(0.547648\pi\)
\(44\) −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 0.612141 0.790749i \(-0.290309\pi\)
0.991993 + 0.126295i \(0.0403086\pi\)
\(48\) −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 0.672610 + 0.739998i \(0.265173\pi\)
−0.804052 + 0.594559i \(0.797327\pi\)
\(54\) −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 −0.918395 0.395664i \(-0.870514\pi\)
−0.543798 + 0.839216i \(0.683014\pi\)
\(60\) 8.01971 6.33934i 1.03534 0.818406i
\(61\) 1.86997 2.27857i 0.239425 0.291741i −0.639410 0.768866i \(-0.720821\pi\)
0.878835 + 0.477125i \(0.158321\pi\)
\(62\) 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 0.718236 0.695799i \(-0.244950\pi\)
−0.542309 + 0.840179i \(0.682450\pi\)
\(68\) −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 −0.892195 0.451650i \(-0.850836\pi\)
0.997120 0.0758414i \(-0.0241643\pi\)
\(72\) 4.06551 + 7.44793i 0.479125 + 0.877747i
\(73\) 3.73126 0.742195i 0.436711 0.0868673i 0.0281617 0.999603i \(-0.491035\pi\)
0.408550 + 0.912736i \(0.366035\pi\)
\(74\) −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 −0.942517 0.334159i \(-0.891548\pi\)
0.902746 + 0.430174i \(0.141548\pi\)
\(80\) 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 −0.0806651 0.996741i \(-0.525704\pi\)
0.783945 + 0.620830i \(0.213204\pi\)
\(84\) 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 −0.809377 0.587289i \(-0.800195\pi\)
0.232849 + 0.972513i \(0.425195\pi\)
\(90\) −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 0.132275 0.991213i \(-0.457772\pi\)
−0.991213 + 0.132275i \(0.957772\pi\)
\(98\) 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 −0.403321 0.915059i \(-0.632144\pi\)
−0.984916 + 0.173031i \(0.944644\pi\)
\(102\) 0.978404 + 1.71686i 0.0968764 + 0.169995i
\(103\) 6.72740 + 10.0683i 0.662871 + 0.992056i 0.998742 + 0.0501480i \(0.0159693\pi\)
−0.335871 + 0.941908i \(0.609031\pi\)
\(104\) 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 0.691719 0.722167i \(-0.256854\pi\)
−0.843238 + 0.537540i \(0.819354\pi\)
\(108\) 10.3090 1.31354i 0.991980 0.126396i
\(109\) 8.59594 + 16.0819i 0.823342 + 1.54036i 0.841327 + 0.540526i \(0.181775\pi\)
−0.0179852 + 0.999838i \(0.505725\pi\)
\(110\) 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 −0.0986127 0.995126i \(-0.531440\pi\)
−0.773390 + 0.633931i \(0.781440\pi\)
\(114\) 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 \(0.0390786\pi\)
−0.992473 + 0.122461i \(0.960921\pi\)
\(128\) 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 −0.969104 0.246651i \(-0.920670\pi\)
−0.430974 0.902364i \(-0.641830\pi\)
\(132\) 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 −0.0776251 0.996983i \(-0.524734\pi\)
0.309812 + 0.950798i \(0.399734\pi\)
\(138\) 20.6212 + 10.3138i 1.75539 + 0.877966i
\(139\) −10.8020 1.06391i −0.916216 0.0902394i −0.371093 0.928596i \(-0.621017\pi\)
−0.545123 + 0.838356i \(0.683517\pi\)
\(140\) −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 −0.993708 0.111999i \(-0.964275\pi\)
−0.0840160 + 0.996464i \(0.526775\pi\)
\(150\) 5.95110 + 6.86338i 0.485905 + 0.560392i
\(151\) −2.48099 1.65774i −0.201900 0.134905i 0.450510 0.892771i \(-0.351242\pi\)
−0.652410 + 0.757866i \(0.726242\pi\)
\(152\) 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 0.264286 0.964444i \(-0.414864\pi\)
0.447361 + 0.894353i \(0.352364\pi\)
\(158\) 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 −0.852909 0.522059i \(-0.825164\pi\)
−0.734672 + 0.678422i \(0.762664\pi\)
\(164\) −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 0.954705 0.297552i \(-0.0961703\pi\)
−0.640253 + 0.768165i \(0.721170\pi\)
\(168\) 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 0.807188 + 0.590295i \(0.200988\pi\)
0.0423626 + 0.999102i \(0.486512\pi\)
\(174\) 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 −0.977982 0.208690i \(-0.933080\pi\)
0.929104 + 0.369818i \(0.120580\pi\)
\(180\) −15.1403 + 9.18043i −1.12849 + 0.684269i
\(181\) −17.7644 1.74964i −1.32042 0.130050i −0.586867 0.809683i \(-0.699639\pi\)
−0.733552 + 0.679633i \(0.762139\pi\)
\(182\) 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 \(-0.994888\pi\)
0.999871 0.0160589i \(-0.00511191\pi\)
\(192\) 2.75305 13.5802i 0.198684 0.980064i
\(193\) 0.693338i 0.0499076i −0.999689 0.0249538i \(-0.992056\pi\)
0.999689 0.0249538i \(-0.00794386\pi\)
\(194\) −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 −0.998641 0.0521143i \(-0.983404\pi\)
0.801387 0.598147i \(-0.204096\pi\)
\(198\) 9.95320 + 0.965672i 0.707343 + 0.0686273i
\(199\) 0.0877509 + 0.0174547i 0.00622049 + 0.00123733i 0.198200 0.980162i \(-0.436491\pi\)
−0.191979 + 0.981399i \(0.561491\pi\)
\(200\) 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 −0.974671 0.223644i \(-0.928205\pi\)
0.355545 0.934659i \(-0.384295\pi\)
\(212\) −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 0.946639 0.322296i \(-0.104455\pi\)
−0.322296 + 0.946639i \(0.604455\pi\)
\(224\) 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 0.786403 0.617714i \(-0.211941\pi\)
0.891803 + 0.452425i \(0.149441\pi\)
\(228\) 2.38501 2.79994i 0.157951 0.185430i
\(229\) 2.61511 4.89254i 0.172812 0.323308i −0.780573 0.625064i \(-0.785073\pi\)
0.953385 + 0.301756i \(0.0975728\pi\)
\(230\) −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 −0.253374 0.967368i \(-0.581540\pi\)
−0.990694 + 0.136109i \(0.956540\pi\)
\(234\) 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 0.943459 0.331489i \(-0.107551\pi\)
−0.901524 + 0.432728i \(0.857551\pi\)
\(240\) −8.03126 + 18.8019i −0.518416 + 1.21366i
\(241\) 7.09867 17.1377i 0.457265 1.10394i −0.512235 0.858845i \(-0.671182\pi\)
0.969500 0.245091i \(-0.0788177\pi\)
\(242\) −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 0.828134 + 0.560530i \(0.189403\pi\)
−0.377154 + 0.926150i \(0.623097\pi\)
\(252\) −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 \(0.0393714\pi\)
−0.992360 + 0.123374i \(0.960629\pi\)
\(258\) −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 −0.168017 0.985784i \(-0.553736\pi\)
−0.532471 + 0.846448i \(0.678736\pi\)
\(264\) 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 0.290265 + 0.956946i \(0.406257\pi\)
−0.772997 + 0.634410i \(0.781243\pi\)
\(270\) 3.71494 + 21.3650i 0.226084 + 1.30023i
\(271\) −22.5640 9.34632i −1.37067 0.567748i −0.428697 0.903448i \(-0.641027\pi\)
−0.941969 + 0.335700i \(0.891027\pi\)
\(272\) 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 0.985296 0.170858i \(-0.0546540\pi\)
−0.359797 + 0.933031i \(0.617154\pi\)
\(278\) 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 −0.998392 0.0566819i \(-0.981948\pi\)
0.329701 0.944085i \(-0.393052\pi\)
\(282\) 14.4366 + 25.3327i 0.859684 + 1.50854i
\(283\) 14.4709 + 7.73483i 0.860203 + 0.459788i 0.841640 0.540039i \(-0.181591\pi\)
0.0185635 + 0.999828i \(0.494091\pi\)
\(284\) 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 −0.690567 0.723269i \(-0.742639\pi\)
0.985034 + 0.172359i \(0.0551388\pi\)
\(294\) −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 0.250066 0.968229i \(-0.419548\pi\)
−0.329997 + 0.943982i \(0.607048\pi\)
\(308\) 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 0.161420 0.986886i \(-0.448393\pi\)
0.526798 + 0.849991i \(0.323393\pi\)
\(312\) −5.17621 15.1636i −0.293045 0.858469i
\(313\) 1.43263 7.20230i 0.0809768 0.407098i −0.918942 0.394392i \(-0.870955\pi\)
0.999919 0.0127064i \(-0.00404467\pi\)
\(314\) −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 0.302713 0.953082i \(-0.402108\pi\)
−0.875712 + 0.482834i \(0.839608\pi\)
\(318\) −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 0.678948 + 0.734186i \(0.262436\pi\)
−0.809135 + 0.587623i \(0.800064\pi\)
\(332\) −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 −0.990458 0.137816i \(-0.955992\pi\)
−0.602909 + 0.797810i \(0.705992\pi\)
\(338\) −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 0.261194 0.965286i \(-0.415884\pi\)
−0.657494 + 0.753459i \(0.728384\pi\)
\(348\) −6.55929 12.8316i −0.351615 0.687846i
\(349\) −0.687998 6.98536i −0.0368277 0.373918i −0.995879 0.0906868i \(-0.971094\pi\)
0.959052 0.283231i \(-0.0914062\pi\)
\(350\) 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 −0.931318 0.364207i \(-0.881340\pi\)
0.364207 + 0.931318i \(0.381340\pi\)
\(354\) −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 −0.946186 0.323623i \(-0.895099\pi\)
−0.0631010 + 0.998007i \(0.520099\pi\)
\(360\) 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 0.0991525 0.995072i \(-0.468387\pi\)
0.773734 + 0.633511i \(0.218387\pi\)
\(368\) −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 0.866378 + 0.499389i \(0.166442\pi\)
−0.947157 + 0.320771i \(0.896058\pi\)
\(374\) 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 0.771683 0.636007i \(-0.219415\pi\)
0.994978 + 0.100096i \(0.0319150\pi\)
\(380\) −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 −0.676879 0.736094i \(-0.736668\pi\)
−0.153853 + 0.988094i \(0.549168\pi\)
\(390\) 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 −0.519226 0.854637i \(-0.673780\pi\)
−0.906531 + 0.422139i \(0.861280\pi\)
\(398\) −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 −0.548647 0.836054i \(-0.684857\pi\)
0.203227 + 0.979132i \(0.434857\pi\)
\(402\) −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 −0.918198 0.396121i \(-0.870356\pi\)
0.0145893 + 0.999894i \(0.495356\pi\)
\(410\) −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 −0.899497 0.436926i \(-0.856067\pi\)
0.796974 0.604014i \(-0.206433\pi\)
\(420\) 1.77864 + 3.47946i 0.0867887 + 0.169780i
\(421\) −9.27719 4.95876i −0.452143 0.241675i 0.229575 0.973291i \(-0.426267\pi\)
−0.681717 + 0.731616i \(0.738767\pi\)
\(422\) −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 −0.861257 0.508170i \(-0.830322\pi\)
−0.249670 + 0.968331i \(0.580322\pi\)
\(432\) −16.8563 + 12.1599i −0.811001 + 0.585045i
\(433\) 17.0872 + 7.07774i 0.821158 + 0.340135i 0.753396 0.657567i \(-0.228414\pi\)
0.0677615 + 0.997702i \(0.478414\pi\)
\(434\) −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 0.829902 + 0.557909i \(0.188396\pi\)
−0.553227 + 0.833030i \(0.686604\pi\)
\(440\) −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 −0.722275 0.691606i \(-0.756904\pi\)
−0.216314 + 0.976324i \(0.569404\pi\)
\(444\) −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 0.161309 0.986904i \(-0.448428\pi\)
0.526702 + 0.850050i \(0.323428\pi\)
\(458\) −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 0.804882 0.593435i \(-0.202229\pi\)
0.339540 + 0.940592i \(0.389729\pi\)
\(462\) 0.371738 2.17543i 0.0172948 0.101210i
\(463\) 2.11651 5.10971i 0.0983627 0.237469i −0.867037 0.498244i \(-0.833978\pi\)
0.965399 + 0.260776i \(0.0839783\pi\)
\(464\) −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 −0.0852576 0.996359i \(-0.527171\pi\)
0.781076 + 0.624436i \(0.214671\pi\)
\(468\) −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 −0.553865 0.832606i \(-0.686848\pi\)
0.832606 + 0.553865i \(0.186848\pi\)
\(480\) 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 −0.982214 0.187763i \(-0.939876\pi\)
0.202406 0.979302i \(-0.435124\pi\)
\(488\) 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 0.801034 0.598618i \(-0.204283\pi\)
−0.743390 + 0.668858i \(0.766783\pi\)
\(492\) 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 −0.948894 0.315595i \(-0.897796\pi\)
0.964312 + 0.264769i \(0.0852958\pi\)
\(500\) 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 0.945646 0.325197i \(-0.105431\pi\)
−0.998111 + 0.0614402i \(0.980431\pi\)
\(504\) −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 −0.532957 0.846142i \(-0.678919\pi\)
0.933859 + 0.357642i \(0.116419\pi\)
\(510\) 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 0.608045 0.793903i \(-0.291954\pi\)
0.865574 + 0.500782i \(0.166954\pi\)
\(522\) −17.5622 + 1.75555i −0.768675 + 0.0768382i
\(523\) −14.2368 1.40220i −0.622531 0.0613139i −0.218166 0.975912i \(-0.570007\pi\)
−0.404365 + 0.914598i \(0.632507\pi\)
\(524\) 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 0.700866 0.713293i \(-0.252797\pi\)
0.826556 + 0.562855i \(0.190297\pi\)
\(542\) −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 0.0476436 0.998864i \(-0.484829\pi\)
0.241597 + 0.970377i \(0.422329\pi\)
\(548\) −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 0.803567 0.595215i \(-0.202933\pi\)
−0.941341 + 0.337458i \(0.890433\pi\)
\(558\) 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 −0.603226 0.797571i \(-0.706118\pi\)
0.944670 0.328021i \(-0.106382\pi\)
\(564\) 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 0.666567 0.745445i \(-0.267763\pi\)
0.330558 + 0.943786i \(0.392763\pi\)
\(570\) 6.06257 + 4.70636i 0.253933 + 0.197128i
\(571\) −8.21584 27.0840i −0.343822 1.13343i −0.942994 0.332809i \(-0.892003\pi\)
0.599172 0.800620i \(-0.295497\pi\)
\(572\) −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 \(-0.865046\pi\)
0.911463 0.411382i \(-0.134954\pi\)
\(578\) 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 0.0851486 0.996368i \(-0.472864\pi\)
−0.110869 + 0.993835i \(0.535364\pi\)
\(588\) 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 −0.874693 0.484677i \(-0.838937\pi\)
0.275783 0.961220i \(-0.411063\pi\)
\(594\) −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 0.616603 0.787274i \(-0.288508\pi\)
−0.491383 + 0.870944i \(0.663508\pi\)
\(600\) −17.0147 6.37076i −0.694622 0.260085i
\(601\) −5.06488 7.58012i −0.206601 0.309200i 0.713670 0.700482i \(-0.247032\pi\)
−0.920271 + 0.391282i \(0.872032\pi\)
\(602\) 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 0.943777 0.330583i \(-0.107245\pi\)
−0.330583 + 0.943777i \(0.607245\pi\)
\(608\) −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 −0.835560 0.549399i \(-0.814857\pi\)
0.921021 + 0.389513i \(0.127357\pi\)
\(614\) −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 0.444481 0.895788i \(-0.353388\pi\)
−0.657505 + 0.753450i \(0.728388\pi\)
\(618\) −22.4098 + 19.4311i −0.901455 + 0.781634i
\(619\) 9.31388 7.64370i 0.374356 0.307226i −0.428336 0.903619i \(-0.640900\pi\)
0.802692 + 0.596393i \(0.203400\pi\)
\(620\) −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 −0.213427 0.976959i \(-0.568463\pi\)
0.176685 + 0.984267i \(0.443463\pi\)
\(632\) −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 \(0.207981\pi\)
−0.794027 + 0.607882i \(0.792019\pi\)
\(642\) 4.16166 4.39359i 0.164248 0.173401i
\(643\) −27.5308 + 33.5464i −1.08571 + 1.32294i −0.142852 + 0.989744i \(0.545627\pi\)
−0.942857 + 0.333197i \(0.891873\pi\)
\(644\) −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 0.373859 0.927486i \(-0.378034\pi\)
−0.00953276 + 0.999955i \(0.503034\pi\)
\(648\) 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 −0.550726 0.834686i \(-0.685649\pi\)
0.921638 0.388050i \(-0.126851\pi\)
\(654\) −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 −0.844846 0.535010i \(-0.820308\pi\)
0.0245264 0.999699i \(-0.492192\pi\)
\(660\) 13.0172 + 20.2760i 0.506692 + 0.789244i
\(661\) 2.07981 + 2.53426i 0.0808954 + 0.0985713i 0.811885 0.583817i \(-0.198441\pi\)
−0.730990 + 0.682388i \(0.760941\pi\)
\(662\) 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 −0.217213 0.976124i \(-0.569697\pi\)
0.976124 + 0.217213i \(0.0696968\pi\)
\(674\) 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 0.473851 + 0.880605i \(0.342863\pi\)
−0.995454 + 0.0952447i \(0.969637\pi\)
\(678\) 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 −0.838204 0.545356i \(-0.816394\pi\)
0.371352 + 0.928492i \(0.378894\pi\)
\(684\) −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 0.860295 0.509797i \(-0.170280\pi\)
0.432081 + 0.901835i \(0.357780\pi\)
\(692\) −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 0.262249 0.965000i \(-0.415536\pi\)
−0.895296 + 0.445472i \(0.853036\pi\)
\(702\) −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 0.804962 0.593326i \(-0.202185\pi\)
0.998936 + 0.0461192i \(0.0146854\pi\)
\(710\) −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 0.118568 0.992946i \(-0.462170\pi\)
−0.618278 + 0.785959i \(0.712170\pi\)
\(720\) 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 −0.423270 0.906004i \(-0.639118\pi\)
0.999017 + 0.0443374i \(0.0141177\pi\)
\(728\) −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 −0.570870 0.821041i \(-0.693394\pi\)
0.399723 0.916636i \(-0.369106\pi\)
\(734\) −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 0.999828 + 0.0185268i \(0.00589759\pi\)
−0.977003 + 0.213228i \(0.931602\pi\)
\(740\) 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 −0.945979 0.324227i \(-0.894896\pi\)
−0.0624635 + 0.998047i \(0.519896\pi\)
\(744\) 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 −0.971992 0.235012i \(-0.924487\pi\)
−0.521124 + 0.853481i \(0.674487\pi\)
\(752\) 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 −0.865876 0.500259i \(-0.833238\pi\)
0.946834 0.321723i \(-0.104262\pi\)
\(758\) −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 0.838347 + 0.545137i \(0.183522\pi\)
−0.983146 + 0.182820i \(0.941478\pi\)
\(762\) −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