Properties

Label 384.2.w.a.107.29
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 107.29
Character \(\chi\) \(=\) 384.107
Dual form 384.2.w.a.323.29

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.201228 + 1.39982i) q^{2} +(1.68739 + 0.390795i) q^{3} +(-1.91901 - 0.563368i) q^{4} +(0.582673 - 0.176752i) q^{5} +(-0.886595 + 2.28341i) q^{6} +(-0.838076 + 4.21329i) q^{7} +(1.17478 - 2.57292i) q^{8} +(2.69456 + 1.31885i) q^{9} +O(q^{10})\) \(q+(-0.201228 + 1.39982i) q^{2} +(1.68739 + 0.390795i) q^{3} +(-1.91901 - 0.563368i) q^{4} +(0.582673 - 0.176752i) q^{5} +(-0.886595 + 2.28341i) q^{6} +(-0.838076 + 4.21329i) q^{7} +(1.17478 - 2.57292i) q^{8} +(2.69456 + 1.31885i) q^{9} +(0.130171 + 0.851207i) q^{10} +(-0.134962 + 1.37029i) q^{11} +(-3.01796 - 1.70056i) q^{12} +(-3.09867 - 0.939972i) q^{13} +(-5.72922 - 2.02099i) q^{14} +(1.05227 - 0.0705433i) q^{15} +(3.36523 + 2.16222i) q^{16} +(6.20100 - 2.56854i) q^{17} +(-2.38837 + 3.50652i) q^{18} +(-1.30230 + 0.696094i) q^{19} +(-1.21773 + 0.0109301i) q^{20} +(-3.06069 + 6.78194i) q^{21} +(-1.89101 - 0.464664i) q^{22} +(-2.82362 + 4.22585i) q^{23} +(2.98779 - 3.88241i) q^{24} +(-3.84908 + 2.57187i) q^{25} +(1.93934 - 4.14845i) q^{26} +(4.03137 + 3.27843i) q^{27} +(3.98191 - 7.61322i) q^{28} +(0.282319 + 2.86643i) q^{29} +(-0.112998 + 1.48719i) q^{30} +(4.60627 - 4.60627i) q^{31} +(-3.70391 + 4.27563i) q^{32} +(-0.763237 + 2.25947i) q^{33} +(2.34769 + 9.19717i) q^{34} +(0.256383 + 2.60310i) q^{35} +(-4.42790 - 4.04891i) q^{36} +(0.0723953 + 0.0386961i) q^{37} +(-0.712349 - 1.96306i) q^{38} +(-4.86133 - 2.79704i) q^{39} +(0.229742 - 1.70681i) q^{40} +(5.98777 - 8.96133i) q^{41} +(-8.87763 - 5.64915i) q^{42} +(-5.22289 - 6.36410i) q^{43} +(1.03097 - 2.55358i) q^{44} +(1.80316 + 0.292188i) q^{45} +(-5.34726 - 4.80294i) q^{46} +(5.23083 - 2.16668i) q^{47} +(4.83347 + 4.96363i) q^{48} +(-10.5823 - 4.38333i) q^{49} +(-2.82563 - 5.90557i) q^{50} +(11.4673 - 1.91080i) q^{51} +(5.41685 + 3.54951i) q^{52} +(0.882057 - 8.95568i) q^{53} +(-5.40045 + 4.98349i) q^{54} +(0.163563 + 0.822287i) q^{55} +(9.85590 + 7.10597i) q^{56} +(-2.46952 + 0.665648i) q^{57} +(-4.06931 - 0.181610i) q^{58} +(3.26934 - 0.991745i) q^{59} +(-2.05906 - 0.457442i) q^{60} +(-1.31079 + 1.59720i) q^{61} +(5.52106 + 7.37488i) q^{62} +(-7.81493 + 10.2477i) q^{63} +(-5.23980 - 6.04520i) q^{64} -1.97165 q^{65} +(-3.00928 - 1.52307i) q^{66} +(5.94389 + 4.87803i) q^{67} +(-13.3468 + 1.43562i) q^{68} +(-6.41599 + 6.02719i) q^{69} +(-3.69548 - 0.164926i) q^{70} +(-0.636693 + 3.20087i) q^{71} +(6.55878 - 5.38352i) q^{72} +(6.53271 - 1.29944i) q^{73} +(-0.0687357 + 0.0935539i) q^{74} +(-7.49997 + 2.83555i) q^{75} +(2.89129 - 0.602140i) q^{76} +(-5.66033 - 1.71704i) q^{77} +(4.89360 - 6.24216i) q^{78} +(1.53897 - 3.71541i) q^{79} +(2.34301 + 0.665058i) q^{80} +(5.52129 + 7.10742i) q^{81} +(11.3394 + 10.1851i) q^{82} +(9.82436 - 5.25123i) q^{83} +(9.69425 - 11.2903i) q^{84} +(3.15916 - 2.59266i) q^{85} +(9.95962 - 6.03048i) q^{86} +(-0.643806 + 4.94711i) q^{87} +(3.36710 + 1.95703i) q^{88} +(1.61068 - 1.07622i) q^{89} +(-0.771858 + 2.46530i) q^{90} +(6.55730 - 12.2678i) q^{91} +(7.79929 - 6.51873i) q^{92} +(9.57268 - 5.97246i) q^{93} +(1.98038 + 7.75824i) q^{94} +(-0.635779 + 0.635779i) q^{95} +(-7.92083 + 5.76718i) q^{96} +(-11.7437 - 11.7437i) q^{97} +(8.26535 - 13.9313i) q^{98} +(-2.17087 + 3.51434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.201228 + 1.39982i −0.142290 + 0.989825i
\(3\) 1.68739 + 0.390795i 0.974214 + 0.225626i
\(4\) −1.91901 0.563368i −0.959507 0.281684i
\(5\) 0.582673 0.176752i 0.260579 0.0790459i −0.157292 0.987552i \(-0.550276\pi\)
0.417871 + 0.908506i \(0.362776\pi\)
\(6\) −0.886595 + 2.28341i −0.361951 + 0.932197i
\(7\) −0.838076 + 4.21329i −0.316763 + 1.59247i 0.414284 + 0.910148i \(0.364032\pi\)
−0.731047 + 0.682327i \(0.760968\pi\)
\(8\) 1.17478 2.57292i 0.415346 0.909663i
\(9\) 2.69456 + 1.31885i 0.898186 + 0.439616i
\(10\) 0.130171 + 0.851207i 0.0411638 + 0.269175i
\(11\) −0.134962 + 1.37029i −0.0406926 + 0.413159i 0.953162 + 0.302461i \(0.0978084\pi\)
−0.993854 + 0.110697i \(0.964692\pi\)
\(12\) −3.01796 1.70056i −0.871210 0.490910i
\(13\) −3.09867 0.939972i −0.859417 0.260701i −0.170336 0.985386i \(-0.554485\pi\)
−0.689081 + 0.724685i \(0.741985\pi\)
\(14\) −5.72922 2.02099i −1.53120 0.540133i
\(15\) 1.05227 0.0705433i 0.271695 0.0182142i
\(16\) 3.36523 + 2.16222i 0.841308 + 0.540556i
\(17\) 6.20100 2.56854i 1.50396 0.622962i 0.529662 0.848209i \(-0.322319\pi\)
0.974302 + 0.225247i \(0.0723189\pi\)
\(18\) −2.38837 + 3.50652i −0.562945 + 0.826494i
\(19\) −1.30230 + 0.696094i −0.298768 + 0.159695i −0.613969 0.789330i \(-0.710428\pi\)
0.315201 + 0.949025i \(0.397928\pi\)
\(20\) −1.21773 + 0.0109301i −0.272294 + 0.00244404i
\(21\) −3.06069 + 6.78194i −0.667898 + 1.47994i
\(22\) −1.89101 0.464664i −0.403165 0.0990668i
\(23\) −2.82362 + 4.22585i −0.588766 + 0.881151i −0.999532 0.0305898i \(-0.990261\pi\)
0.410766 + 0.911741i \(0.365261\pi\)
\(24\) 2.98779 3.88241i 0.609879 0.792494i
\(25\) −3.84908 + 2.57187i −0.769816 + 0.514375i
\(26\) 1.93934 4.14845i 0.380335 0.813577i
\(27\) 4.03137 + 3.27843i 0.775837 + 0.630934i
\(28\) 3.98191 7.61322i 0.752511 1.43876i
\(29\) 0.282319 + 2.86643i 0.0524253 + 0.532283i 0.985150 + 0.171694i \(0.0549241\pi\)
−0.932725 + 0.360588i \(0.882576\pi\)
\(30\) −0.112998 + 1.48719i −0.0206305 + 0.271522i
\(31\) 4.60627 4.60627i 0.827311 0.827311i −0.159833 0.987144i \(-0.551096\pi\)
0.987144 + 0.159833i \(0.0510957\pi\)
\(32\) −3.70391 + 4.27563i −0.654765 + 0.755832i
\(33\) −0.763237 + 2.25947i −0.132862 + 0.393324i
\(34\) 2.34769 + 9.19717i 0.402625 + 1.57730i
\(35\) 0.256383 + 2.60310i 0.0433367 + 0.440005i
\(36\) −4.42790 4.04891i −0.737983 0.674819i
\(37\) 0.0723953 + 0.0386961i 0.0119017 + 0.00636160i 0.477337 0.878720i \(-0.341602\pi\)
−0.465435 + 0.885082i \(0.654102\pi\)
\(38\) −0.712349 1.96306i −0.115558 0.318451i
\(39\) −4.86133 2.79704i −0.778435 0.447885i
\(40\) 0.229742 1.70681i 0.0363255 0.269871i
\(41\) 5.98777 8.96133i 0.935132 1.39952i 0.0184842 0.999829i \(-0.494116\pi\)
0.916648 0.399695i \(-0.130884\pi\)
\(42\) −8.87763 5.64915i −1.36985 0.871683i
\(43\) −5.22289 6.36410i −0.796483 0.970517i 0.203481 0.979079i \(-0.434775\pi\)
−0.999963 + 0.00856212i \(0.997275\pi\)
\(44\) 1.03097 2.55358i 0.155425 0.384966i
\(45\) 1.80316 + 0.292188i 0.268799 + 0.0435568i
\(46\) −5.34726 4.80294i −0.788410 0.708155i
\(47\) 5.23083 2.16668i 0.762995 0.316043i 0.0329639 0.999457i \(-0.489505\pi\)
0.730032 + 0.683413i \(0.239505\pi\)
\(48\) 4.83347 + 4.96363i 0.697651 + 0.716438i
\(49\) −10.5823 4.38333i −1.51176 0.626190i
\(50\) −2.82563 5.90557i −0.399604 0.835174i
\(51\) 11.4673 1.91080i 1.60574 0.267566i
\(52\) 5.41685 + 3.54951i 0.751181 + 0.492229i
\(53\) 0.882057 8.95568i 0.121160 1.23016i −0.721770 0.692133i \(-0.756671\pi\)
0.842930 0.538024i \(-0.180829\pi\)
\(54\) −5.40045 + 4.98349i −0.734907 + 0.678167i
\(55\) 0.163563 + 0.822287i 0.0220548 + 0.110877i
\(56\) 9.85590 + 7.10597i 1.31705 + 0.949576i
\(57\) −2.46952 + 0.665648i −0.327095 + 0.0881672i
\(58\) −4.06931 0.181610i −0.534326 0.0238466i
\(59\) 3.26934 0.991745i 0.425632 0.129114i −0.0701990 0.997533i \(-0.522363\pi\)
0.495831 + 0.868419i \(0.334863\pi\)
\(60\) −2.05906 0.457442i −0.265824 0.0590555i
\(61\) −1.31079 + 1.59720i −0.167830 + 0.204501i −0.850133 0.526568i \(-0.823478\pi\)
0.682303 + 0.731069i \(0.260978\pi\)
\(62\) 5.52106 + 7.37488i 0.701175 + 0.936611i
\(63\) −7.81493 + 10.2477i −0.984589 + 1.29108i
\(64\) −5.23980 6.04520i −0.654975 0.755650i
\(65\) −1.97165 −0.244554
\(66\) −3.00928 1.52307i −0.370417 0.187477i
\(67\) 5.94389 + 4.87803i 0.726162 + 0.595946i 0.923141 0.384462i \(-0.125613\pi\)
−0.196979 + 0.980408i \(0.563113\pi\)
\(68\) −13.3468 + 1.43562i −1.61854 + 0.174094i
\(69\) −6.41599 + 6.02719i −0.772395 + 0.725589i
\(70\) −3.69548 0.164926i −0.441694 0.0197125i
\(71\) −0.636693 + 3.20087i −0.0755615 + 0.379873i −0.999999 0.00146038i \(-0.999535\pi\)
0.924437 + 0.381334i \(0.124535\pi\)
\(72\) 6.55878 5.38352i 0.772960 0.634454i
\(73\) 6.53271 1.29944i 0.764596 0.152088i 0.202638 0.979254i \(-0.435048\pi\)
0.561958 + 0.827166i \(0.310048\pi\)
\(74\) −0.0687357 + 0.0935539i −0.00799036 + 0.0108754i
\(75\) −7.49997 + 2.83555i −0.866022 + 0.327421i
\(76\) 2.89129 0.602140i 0.331654 0.0690702i
\(77\) −5.66033 1.71704i −0.645055 0.195675i
\(78\) 4.89360 6.24216i 0.554092 0.706785i
\(79\) 1.53897 3.71541i 0.173148 0.418017i −0.813353 0.581770i \(-0.802360\pi\)
0.986501 + 0.163754i \(0.0523603\pi\)
\(80\) 2.34301 + 0.665058i 0.261956 + 0.0743557i
\(81\) 5.52129 + 7.10742i 0.613476 + 0.789713i
\(82\) 11.3394 + 10.1851i 1.25222 + 1.12476i
\(83\) 9.82436 5.25123i 1.07836 0.576398i 0.166145 0.986101i \(-0.446868\pi\)
0.912219 + 0.409704i \(0.134368\pi\)
\(84\) 9.69425 11.2903i 1.05773 1.23188i
\(85\) 3.15916 2.59266i 0.342659 0.281213i
\(86\) 9.95962 6.03048i 1.07397 0.650284i
\(87\) −0.643806 + 4.94711i −0.0690232 + 0.530386i
\(88\) 3.36710 + 1.95703i 0.358934 + 0.208620i
\(89\) 1.61068 1.07622i 0.170732 0.114079i −0.467269 0.884115i \(-0.654762\pi\)
0.638000 + 0.770036i \(0.279762\pi\)
\(90\) −0.771858 + 2.46530i −0.0813609 + 0.259866i
\(91\) 6.55730 12.2678i 0.687392 1.28602i
\(92\) 7.79929 6.51873i 0.813132 0.679625i
\(93\) 9.57268 5.97246i 0.992640 0.619315i
\(94\) 1.98038 + 7.75824i 0.204261 + 0.800202i
\(95\) −0.635779 + 0.635779i −0.0652296 + 0.0652296i
\(96\) −7.92083 + 5.76718i −0.808417 + 0.588611i
\(97\) −11.7437 11.7437i −1.19239 1.19239i −0.976393 0.216002i \(-0.930698\pi\)
−0.216002 0.976393i \(-0.569302\pi\)
\(98\) 8.26535 13.9313i 0.834927 1.40727i
\(99\) −2.17087 + 3.51434i −0.218180 + 0.353204i
\(100\) 8.83535 2.76701i 0.883535 0.276701i
\(101\) −7.66759 4.09841i −0.762954 0.407808i 0.0435384 0.999052i \(-0.486137\pi\)
−0.806493 + 0.591244i \(0.798637\pi\)
\(102\) 0.367246 + 16.4367i 0.0363628 + 1.62747i
\(103\) 8.18400 + 12.2482i 0.806394 + 1.20685i 0.975226 + 0.221209i \(0.0710003\pi\)
−0.168833 + 0.985645i \(0.554000\pi\)
\(104\) −6.05871 + 6.86837i −0.594106 + 0.673499i
\(105\) −0.584662 + 4.49264i −0.0570572 + 0.438437i
\(106\) 12.3589 + 3.03686i 1.20040 + 0.294966i
\(107\) 3.35795 + 4.09168i 0.324626 + 0.395557i 0.909594 0.415499i \(-0.136393\pi\)
−0.584968 + 0.811056i \(0.698893\pi\)
\(108\) −5.88929 8.56249i −0.566697 0.823926i
\(109\) −9.03421 16.9018i −0.865320 1.61890i −0.782768 0.622314i \(-0.786193\pi\)
−0.0825525 0.996587i \(-0.526307\pi\)
\(110\) −1.18397 + 0.0634922i −0.112887 + 0.00605374i
\(111\) 0.107037 + 0.0935871i 0.0101595 + 0.00888289i
\(112\) −11.9304 + 12.3666i −1.12732 + 1.16853i
\(113\) 8.12952 + 3.36736i 0.764761 + 0.316774i 0.730748 0.682647i \(-0.239171\pi\)
0.0340125 + 0.999421i \(0.489171\pi\)
\(114\) −0.434854 3.59083i −0.0407278 0.336312i
\(115\) −0.898322 + 2.96137i −0.0837690 + 0.276149i
\(116\) 1.07308 5.65977i 0.0996331 0.525496i
\(117\) −7.10987 6.61948i −0.657308 0.611971i
\(118\) 0.730384 + 4.77607i 0.0672373 + 0.439673i
\(119\) 5.62509 + 28.2793i 0.515651 + 2.59236i
\(120\) 1.05468 2.79028i 0.0962786 0.254716i
\(121\) 8.92915 + 1.77612i 0.811741 + 0.161465i
\(122\) −1.97204 2.15628i −0.178540 0.195220i
\(123\) 13.6057 12.7812i 1.22679 1.15245i
\(124\) −11.4345 + 6.24447i −1.02685 + 0.560770i
\(125\) −3.71956 + 4.53229i −0.332687 + 0.405381i
\(126\) −12.7723 13.0016i −1.13785 1.15828i
\(127\) 15.1935i 1.34821i 0.738637 + 0.674104i \(0.235470\pi\)
−0.738637 + 0.674104i \(0.764530\pi\)
\(128\) 9.51662 6.11834i 0.841158 0.540790i
\(129\) −6.32597 12.7798i −0.556971 1.12520i
\(130\) 0.396753 2.75997i 0.0347975 0.242065i
\(131\) −13.2348 10.8615i −1.15633 0.948974i −0.157074 0.987587i \(-0.550206\pi\)
−0.999254 + 0.0386123i \(0.987706\pi\)
\(132\) 2.73758 3.90598i 0.238276 0.339972i
\(133\) −1.84142 6.07035i −0.159671 0.526366i
\(134\) −8.02446 + 7.33881i −0.693208 + 0.633977i
\(135\) 2.92844 + 1.19770i 0.252040 + 0.103082i
\(136\) 0.676151 18.9721i 0.0579794 1.62685i
\(137\) −5.15052 + 1.02450i −0.440039 + 0.0875292i −0.410138 0.912024i \(-0.634519\pi\)
−0.0299014 + 0.999553i \(0.509519\pi\)
\(138\) −7.14593 10.1941i −0.608302 0.867780i
\(139\) 8.23806 + 0.811378i 0.698743 + 0.0688202i 0.441150 0.897433i \(-0.354571\pi\)
0.257593 + 0.966254i \(0.417071\pi\)
\(140\) 0.974502 5.13983i 0.0823605 0.434395i
\(141\) 9.67318 1.61185i 0.814628 0.135742i
\(142\) −4.35253 1.53536i −0.365257 0.128845i
\(143\) 1.70624 4.11922i 0.142683 0.344467i
\(144\) 6.21617 + 10.2645i 0.518015 + 0.855372i
\(145\) 0.671147 + 1.62029i 0.0557357 + 0.134558i
\(146\) 0.504417 + 9.40613i 0.0417459 + 0.778457i
\(147\) −16.1435 11.5319i −1.33149 0.951135i
\(148\) −0.117127 0.115044i −0.00962782 0.00945652i
\(149\) −14.0580 + 11.5371i −1.15168 + 0.945157i −0.999069 0.0431297i \(-0.986267\pi\)
−0.152608 + 0.988287i \(0.548767\pi\)
\(150\) −2.46006 11.0692i −0.200863 0.903799i
\(151\) −9.13712 6.10523i −0.743568 0.496836i 0.125153 0.992137i \(-0.460058\pi\)
−0.868721 + 0.495301i \(0.835058\pi\)
\(152\) 0.261081 + 4.16846i 0.0211764 + 0.338107i
\(153\) 20.0965 + 1.25709i 1.62470 + 0.101630i
\(154\) 3.54258 7.57795i 0.285469 0.610649i
\(155\) 1.86978 3.49812i 0.150185 0.280976i
\(156\) 7.75319 + 8.10628i 0.620752 + 0.649022i
\(157\) 14.3625 1.41459i 1.14625 0.112896i 0.492996 0.870031i \(-0.335902\pi\)
0.653258 + 0.757135i \(0.273402\pi\)
\(158\) 4.89124 + 2.90194i 0.389126 + 0.230866i
\(159\) 4.98821 14.7670i 0.395591 1.17110i
\(160\) −1.40244 + 3.14597i −0.110873 + 0.248711i
\(161\) −15.4383 15.4383i −1.21671 1.21671i
\(162\) −11.0602 + 6.29862i −0.868969 + 0.494866i
\(163\) −16.1903 + 1.59461i −1.26812 + 0.124899i −0.709609 0.704596i \(-0.751128\pi\)
−0.558514 + 0.829495i \(0.688628\pi\)
\(164\) −16.5391 + 13.8236i −1.29149 + 1.07944i
\(165\) −0.0453515 + 1.45144i −0.00353061 + 0.112994i
\(166\) 5.37386 + 14.8091i 0.417093 + 1.14941i
\(167\) 0.773733 + 1.15797i 0.0598732 + 0.0896066i 0.860198 0.509960i \(-0.170340\pi\)
−0.800325 + 0.599566i \(0.795340\pi\)
\(168\) 13.8537 + 15.8422i 1.06884 + 1.22225i
\(169\) −2.09089 1.39709i −0.160837 0.107468i
\(170\) 2.99355 + 4.94399i 0.229595 + 0.379187i
\(171\) −4.42716 + 0.158131i −0.338554 + 0.0120926i
\(172\) 6.43746 + 15.1552i 0.490852 + 1.15557i
\(173\) 2.60055 + 4.86528i 0.197716 + 0.369900i 0.961168 0.275964i \(-0.0889971\pi\)
−0.763452 + 0.645864i \(0.776497\pi\)
\(174\) −6.79553 1.89671i −0.515168 0.143789i
\(175\) −7.61023 18.3727i −0.575280 1.38885i
\(176\) −3.41706 + 4.31953i −0.257570 + 0.325597i
\(177\) 5.90422 0.395814i 0.443788 0.0297512i
\(178\) 1.18241 + 2.47123i 0.0886251 + 0.185227i
\(179\) −1.89839 + 6.25816i −0.141893 + 0.467757i −0.998866 0.0476029i \(-0.984842\pi\)
0.856974 + 0.515360i \(0.172342\pi\)
\(180\) −3.29567 1.57655i −0.245645 0.117509i
\(181\) −16.7184 1.64662i −1.24267 0.122392i −0.544769 0.838586i \(-0.683383\pi\)
−0.697901 + 0.716194i \(0.745883\pi\)
\(182\) 15.8533 + 11.6477i 1.17513 + 0.863385i
\(183\) −2.83599 + 2.18285i −0.209643 + 0.161361i
\(184\) 7.55564 + 12.2294i 0.557009 + 0.901562i
\(185\) 0.0490224 + 0.00975116i 0.00360420 + 0.000716920i
\(186\) 6.43410 + 14.6019i 0.471771 + 1.07066i
\(187\) 2.68275 + 8.84384i 0.196182 + 0.646725i
\(188\) −11.2587 + 1.21101i −0.821124 + 0.0883219i
\(189\) −17.1916 + 14.2378i −1.25050 + 1.03564i
\(190\) −0.762042 1.01792i −0.0552844 0.0738474i
\(191\) 0.529619i 0.0383219i −0.999816 0.0191609i \(-0.993901\pi\)
0.999816 0.0191609i \(-0.00609949\pi\)
\(192\) −6.47914 12.2483i −0.467592 0.883944i
\(193\) 22.9630i 1.65291i 0.562999 + 0.826457i \(0.309647\pi\)
−0.562999 + 0.826457i \(0.690353\pi\)
\(194\) 18.8023 14.0760i 1.34993 1.01060i
\(195\) −3.32695 0.770513i −0.238248 0.0551776i
\(196\) 17.8382 + 14.3734i 1.27415 + 1.02667i
\(197\) −4.66417 15.3757i −0.332309 1.09547i −0.950832 0.309708i \(-0.899769\pi\)
0.618523 0.785767i \(-0.287731\pi\)
\(198\) −4.48261 3.74602i −0.318566 0.266218i
\(199\) 7.73241 + 1.53807i 0.548136 + 0.109031i 0.461387 0.887199i \(-0.347352\pi\)
0.0867494 + 0.996230i \(0.472352\pi\)
\(200\) 2.09541 + 12.9247i 0.148168 + 0.913917i
\(201\) 8.12335 + 10.5540i 0.572977 + 0.744420i
\(202\) 7.28000 9.90857i 0.512219 0.697164i
\(203\) −12.3137 1.21279i −0.864253 0.0851215i
\(204\) −23.0823 2.79344i −1.61609 0.195580i
\(205\) 1.90498 6.27988i 0.133050 0.438606i
\(206\) −18.7922 + 8.99148i −1.30932 + 0.626466i
\(207\) −13.1817 + 7.66288i −0.916189 + 0.532607i
\(208\) −8.39532 9.86324i −0.582111 0.683893i
\(209\) −0.778091 1.87848i −0.0538217 0.129937i
\(210\) −6.17126 1.72247i −0.425857 0.118862i
\(211\) −8.89469 16.6408i −0.612335 1.14560i −0.976754 0.214364i \(-0.931232\pi\)
0.364418 0.931235i \(-0.381268\pi\)
\(212\) −6.73803 + 16.6892i −0.462769 + 1.14622i
\(213\) −2.32523 + 5.15229i −0.159322 + 0.353029i
\(214\) −6.40334 + 3.87718i −0.437724 + 0.265039i
\(215\) −4.16810 2.78504i −0.284262 0.189938i
\(216\) 13.1711 6.52095i 0.896178 0.443695i
\(217\) 15.5472 + 23.2680i 1.05541 + 1.57953i
\(218\) 25.4775 9.24518i 1.72555 0.626163i
\(219\) 11.5310 + 0.360298i 0.779195 + 0.0243467i
\(220\) 0.149370 1.67013i 0.0100706 0.112600i
\(221\) −21.6292 + 2.13029i −1.45494 + 0.143299i
\(222\) −0.152544 + 0.131000i −0.0102381 + 0.00879216i
\(223\) −5.97035 5.97035i −0.399804 0.399804i 0.478360 0.878164i \(-0.341232\pi\)
−0.878164 + 0.478360i \(0.841232\pi\)
\(224\) −14.9103 19.1890i −0.996238 1.28212i
\(225\) −13.7635 + 1.85372i −0.917565 + 0.123581i
\(226\) −6.34959 + 10.7023i −0.422369 + 0.711905i
\(227\) −9.89842 + 0.974910i −0.656981 + 0.0647070i −0.421014 0.907054i \(-0.638326\pi\)
−0.235967 + 0.971761i \(0.575826\pi\)
\(228\) 5.11404 + 0.113859i 0.338686 + 0.00754047i
\(229\) −2.09875 + 3.92649i −0.138689 + 0.259470i −0.941671 0.336534i \(-0.890745\pi\)
0.802982 + 0.596003i \(0.203245\pi\)
\(230\) −3.96463 1.85340i −0.261420 0.122210i
\(231\) −8.88017 5.10935i −0.584272 0.336170i
\(232\) 7.70675 + 2.64103i 0.505973 + 0.173392i
\(233\) 7.98092 + 5.33268i 0.522847 + 0.349355i 0.788819 0.614625i \(-0.210693\pi\)
−0.265972 + 0.963981i \(0.585693\pi\)
\(234\) 10.6968 8.62054i 0.699273 0.563543i
\(235\) 2.66490 2.18703i 0.173839 0.142666i
\(236\) −6.83264 + 0.0613281i −0.444767 + 0.00399212i
\(237\) 4.04881 5.66792i 0.262999 0.368171i
\(238\) −40.7179 + 2.18356i −2.63935 + 0.141539i
\(239\) −4.33654 10.4693i −0.280508 0.677206i 0.719340 0.694658i \(-0.244444\pi\)
−0.999848 + 0.0174526i \(0.994444\pi\)
\(240\) 3.69366 + 2.03785i 0.238425 + 0.131542i
\(241\) −11.8243 + 28.5464i −0.761670 + 1.83883i −0.290141 + 0.956984i \(0.593702\pi\)
−0.471529 + 0.881851i \(0.656298\pi\)
\(242\) −4.28305 + 12.1418i −0.275325 + 0.780507i
\(243\) 6.53901 + 14.1507i 0.419478 + 0.907766i
\(244\) 3.41524 2.32660i 0.218638 0.148945i
\(245\) −6.94079 0.683608i −0.443431 0.0436741i
\(246\) 15.1536 + 21.6176i 0.966161 + 1.37829i
\(247\) 4.68971 0.932841i 0.298399 0.0593552i
\(248\) −6.44022 17.2629i −0.408954 1.09619i
\(249\) 18.6297 5.02155i 1.18061 0.318228i
\(250\) −5.59593 6.11875i −0.353918 0.386984i
\(251\) 2.44837 + 8.07121i 0.154540 + 0.509450i 0.999685 0.0250865i \(-0.00798611\pi\)
−0.845145 + 0.534537i \(0.820486\pi\)
\(252\) 20.7702 15.2627i 1.30840 0.961462i
\(253\) −5.40957 4.43952i −0.340097 0.279110i
\(254\) −21.2683 3.05737i −1.33449 0.191836i
\(255\) 6.34393 3.14023i 0.397272 0.196649i
\(256\) 6.64958 + 14.5528i 0.415599 + 0.909548i
\(257\) 7.35748i 0.458947i 0.973315 + 0.229474i \(0.0737005\pi\)
−0.973315 + 0.229474i \(0.926300\pi\)
\(258\) 19.1624 6.28360i 1.19300 0.391200i
\(259\) −0.223711 + 0.272592i −0.0139007 + 0.0169381i
\(260\) 3.78363 + 1.11077i 0.234651 + 0.0688869i
\(261\) −3.01966 + 8.09610i −0.186912 + 0.501136i
\(262\) 17.8674 16.3407i 1.10385 1.00953i
\(263\) −0.432230 0.0859758i −0.0266524 0.00530149i 0.181746 0.983345i \(-0.441825\pi\)
−0.208399 + 0.978044i \(0.566825\pi\)
\(264\) 4.91680 + 4.61812i 0.302608 + 0.284226i
\(265\) −1.06898 5.37414i −0.0656671 0.330131i
\(266\) 8.86797 1.35614i 0.543730 0.0831502i
\(267\) 3.13842 1.18656i 0.192068 0.0726161i
\(268\) −8.65829 12.7096i −0.528889 0.776363i
\(269\) 3.23570 10.6667i 0.197284 0.650359i −0.801354 0.598190i \(-0.795887\pi\)
0.998638 0.0521684i \(-0.0166133\pi\)
\(270\) −2.26585 + 3.85829i −0.137895 + 0.234808i
\(271\) −9.19695 3.80950i −0.558675 0.231411i 0.0854348 0.996344i \(-0.472772\pi\)
−0.644110 + 0.764933i \(0.722772\pi\)
\(272\) 26.4216 + 4.76422i 1.60204 + 0.288873i
\(273\) 15.8589 18.1380i 0.959825 1.09776i
\(274\) −0.397693 7.41599i −0.0240255 0.448016i
\(275\) −3.00474 5.62147i −0.181193 0.338987i
\(276\) 15.7079 7.95171i 0.945505 0.478637i
\(277\) 8.38631 + 10.2187i 0.503885 + 0.613985i 0.961379 0.275227i \(-0.0887531\pi\)
−0.457495 + 0.889212i \(0.651253\pi\)
\(278\) −2.79352 + 11.3686i −0.167544 + 0.681841i
\(279\) 18.4868 6.33690i 1.10678 0.379380i
\(280\) 6.99876 + 2.39841i 0.418256 + 0.143332i
\(281\) −5.28561 7.91047i −0.315313 0.471899i 0.639632 0.768681i \(-0.279087\pi\)
−0.954945 + 0.296782i \(0.904087\pi\)
\(282\) 0.309789 + 13.8651i 0.0184477 + 0.825654i
\(283\) −9.74997 5.21147i −0.579575 0.309789i 0.155434 0.987846i \(-0.450322\pi\)
−0.735010 + 0.678057i \(0.762822\pi\)
\(284\) 3.02509 5.78382i 0.179506 0.343207i
\(285\) −1.32127 + 0.824347i −0.0782650 + 0.0488301i
\(286\) 5.42285 + 3.21734i 0.320660 + 0.190245i
\(287\) 32.7385 + 32.7385i 1.93249 + 1.93249i
\(288\) −15.6193 + 6.63605i −0.920377 + 0.391033i
\(289\) 19.8342 19.8342i 1.16672 1.16672i
\(290\) −2.40318 + 0.613439i −0.141119 + 0.0360224i
\(291\) −15.2268 24.4056i −0.892613 1.43068i
\(292\) −13.2684 1.18668i −0.776476 0.0694453i
\(293\) 14.4248 26.9870i 0.842708 1.57660i 0.0259165 0.999664i \(-0.491750\pi\)
0.816792 0.576932i \(-0.195750\pi\)
\(294\) 19.3911 20.2775i 1.13091 1.18261i
\(295\) 1.72967 1.15573i 0.100705 0.0672890i
\(296\) 0.184610 0.140808i 0.0107302 0.00818429i
\(297\) −5.03648 + 5.08169i −0.292246 + 0.294869i
\(298\) −13.3211 22.0003i −0.771668 1.27445i
\(299\) 12.7217 10.4404i 0.735713 0.603784i
\(300\) 15.9900 1.21621i 0.923184 0.0702180i
\(301\) 31.1910 16.6719i 1.79782 0.960955i
\(302\) 10.3849 11.5618i 0.597583 0.665308i
\(303\) −11.3366 9.91208i −0.651269 0.569434i
\(304\) −5.88765 0.473345i −0.337680 0.0271482i
\(305\) −0.481454 + 1.16233i −0.0275680 + 0.0665550i
\(306\) −5.80368 + 27.8786i −0.331774 + 1.59371i
\(307\) −18.2616 5.53961i −1.04225 0.316162i −0.277658 0.960680i \(-0.589558\pi\)
−0.764589 + 0.644518i \(0.777058\pi\)
\(308\) 9.89493 + 6.48388i 0.563816 + 0.369453i
\(309\) 9.02304 + 23.8658i 0.513303 + 1.35768i
\(310\) 4.52050 + 3.32129i 0.256747 + 0.188636i
\(311\) −17.6749 + 3.51576i −1.00225 + 0.199360i −0.668829 0.743417i \(-0.733204\pi\)
−0.333424 + 0.942777i \(0.608204\pi\)
\(312\) −12.9075 + 9.22189i −0.730745 + 0.522087i
\(313\) −1.77203 + 8.90862i −0.100161 + 0.503545i 0.897838 + 0.440325i \(0.145137\pi\)
−0.998000 + 0.0632196i \(0.979863\pi\)
\(314\) −0.909975 + 20.3897i −0.0513529 + 1.15066i
\(315\) −2.74225 + 7.35235i −0.154509 + 0.414258i
\(316\) −5.04646 + 6.26292i −0.283885 + 0.352317i
\(317\) 24.8376 + 20.3837i 1.39502 + 1.14486i 0.970963 + 0.239228i \(0.0768943\pi\)
0.424057 + 0.905636i \(0.360606\pi\)
\(318\) 19.6674 + 9.95415i 1.10290 + 0.558201i
\(319\) −3.96595 −0.222050
\(320\) −4.12159 2.59623i −0.230404 0.145134i
\(321\) 4.06716 + 8.21652i 0.227007 + 0.458601i
\(322\) 24.7176 18.5043i 1.37746 1.03121i
\(323\) −6.28762 + 7.66149i −0.349852 + 0.426296i
\(324\) −6.59134 16.7498i −0.366185 0.930542i
\(325\) 14.3445 4.35136i 0.795691 0.241370i
\(326\) 1.02578 22.9845i 0.0568126 1.27299i
\(327\) −8.63907 32.0505i −0.477742 1.77239i
\(328\) −16.0225 25.9336i −0.884693 1.43194i
\(329\) 4.74503 + 23.8549i 0.261602 + 1.31516i
\(330\) −2.02263 0.355554i −0.111342 0.0195726i
\(331\) −0.829850 + 8.42561i −0.0456127 + 0.463113i 0.945065 + 0.326884i \(0.105999\pi\)
−0.990677 + 0.136230i \(0.956501\pi\)
\(332\) −21.8115 + 4.54246i −1.19706 + 0.249300i
\(333\) 0.144039 + 0.199747i 0.00789329 + 0.0109461i
\(334\) −1.77666 + 0.850073i −0.0972142 + 0.0465139i
\(335\) 4.32555 + 1.79170i 0.236330 + 0.0978911i
\(336\) −24.9640 + 16.2049i −1.36190 + 0.884051i
\(337\) −8.26083 + 3.42175i −0.449996 + 0.186394i −0.596160 0.802866i \(-0.703307\pi\)
0.146164 + 0.989260i \(0.453307\pi\)
\(338\) 2.37642 2.64574i 0.129260 0.143909i
\(339\) 12.4017 + 8.85901i 0.673568 + 0.481156i
\(340\) −7.52310 + 3.19558i −0.407997 + 0.173304i
\(341\) 5.69027 + 6.93361i 0.308145 + 0.375476i
\(342\) 0.669514 6.22907i 0.0362032 0.336830i
\(343\) 10.6306 15.9098i 0.573997 0.859047i
\(344\) −22.5100 + 5.96165i −1.21366 + 0.321431i
\(345\) −2.67311 + 4.64592i −0.143915 + 0.250128i
\(346\) −7.33384 + 2.66128i −0.394270 + 0.143071i
\(347\) −27.3555 14.6218i −1.46852 0.784941i −0.473143 0.880985i \(-0.656881\pi\)
−0.995377 + 0.0960449i \(0.969381\pi\)
\(348\) 4.02252 9.13087i 0.215629 0.489466i
\(349\) −2.71172 27.5326i −0.145155 1.47378i −0.741444 0.671014i \(-0.765859\pi\)
0.596289 0.802770i \(-0.296641\pi\)
\(350\) 27.2500 6.95588i 1.45657 0.371807i
\(351\) −9.41025 13.9481i −0.502282 0.744497i
\(352\) −5.35898 5.65249i −0.285635 0.301279i
\(353\) 11.9926 11.9926i 0.638300 0.638300i −0.311836 0.950136i \(-0.600944\pi\)
0.950136 + 0.311836i \(0.100944\pi\)
\(354\) −0.634026 + 8.34452i −0.0336981 + 0.443506i
\(355\) 0.194776 + 1.97760i 0.0103377 + 0.104960i
\(356\) −3.69722 + 1.15788i −0.195952 + 0.0613674i
\(357\) −1.55968 + 49.9163i −0.0825471 + 2.64185i
\(358\) −8.37832 3.91674i −0.442808 0.207006i
\(359\) −8.76693 + 5.85788i −0.462701 + 0.309167i −0.764982 0.644052i \(-0.777252\pi\)
0.302281 + 0.953219i \(0.402252\pi\)
\(360\) 2.87008 4.29611i 0.151266 0.226425i
\(361\) −9.34440 + 13.9849i −0.491810 + 0.736046i
\(362\) 5.66920 23.0715i 0.297966 1.21261i
\(363\) 14.3728 + 6.48647i 0.754379 + 0.340452i
\(364\) −19.4949 + 19.8480i −1.02181 + 1.04032i
\(365\) 3.57676 1.91182i 0.187216 0.100069i
\(366\) −2.48493 4.40914i −0.129889 0.230470i
\(367\) −0.172078 + 0.0712772i −0.00898242 + 0.00372064i −0.387170 0.922008i \(-0.626547\pi\)
0.378188 + 0.925729i \(0.376547\pi\)
\(368\) −18.6394 + 8.11567i −0.971645 + 0.423059i
\(369\) 27.9530 16.2499i 1.45518 0.845935i
\(370\) −0.0235146 + 0.0666605i −0.00122247 + 0.00346552i
\(371\) 36.9937 + 11.2219i 1.92062 + 0.582612i
\(372\) −21.7348 + 6.06829i −1.12690 + 0.314626i
\(373\) 0.712710 7.23626i 0.0369027 0.374680i −0.958941 0.283605i \(-0.908470\pi\)
0.995844 0.0910750i \(-0.0290303\pi\)
\(374\) −12.9197 + 1.97575i −0.668060 + 0.102163i
\(375\) −8.04754 + 6.19415i −0.415573 + 0.319865i
\(376\) 0.570365 16.0039i 0.0294143 0.825336i
\(377\) 1.81955 9.14749i 0.0937116 0.471120i
\(378\) −16.4709 26.9302i −0.847173 1.38514i
\(379\) 11.6373 3.53013i 0.597767 0.181331i 0.0231208 0.999733i \(-0.492640\pi\)
0.574646 + 0.818402i \(0.305140\pi\)
\(380\) 1.57825 0.861892i 0.0809624 0.0442141i
\(381\) −5.93756 + 25.6374i −0.304190 + 1.31344i
\(382\) 0.741373 + 0.106574i 0.0379319 + 0.00545281i
\(383\) 25.6239 1.30932 0.654659 0.755925i \(-0.272812\pi\)
0.654659 + 0.755925i \(0.272812\pi\)
\(384\) 18.4492 6.60496i 0.941484 0.337058i
\(385\) −3.60161 −0.183555
\(386\) −32.1442 4.62081i −1.63610 0.235193i
\(387\) −5.68009 24.0366i −0.288735 1.22185i
\(388\) 15.9203 + 29.1524i 0.808233 + 1.47999i
\(389\) 10.7486 3.26055i 0.544975 0.165316i −0.00578008 0.999983i \(-0.501840\pi\)
0.550755 + 0.834667i \(0.314340\pi\)
\(390\) 1.74806 4.50209i 0.0885164 0.227972i
\(391\) −6.65503 + 33.4571i −0.336559 + 1.69200i
\(392\) −23.7098 + 22.0779i −1.19752 + 1.11510i
\(393\) −18.0876 23.4997i −0.912399 1.18540i
\(394\) 22.4619 3.43499i 1.13161 0.173052i
\(395\) 0.240013 2.43689i 0.0120763 0.122613i
\(396\) 6.14579 5.52107i 0.308838 0.277444i
\(397\) 6.74237 + 2.04528i 0.338390 + 0.102649i 0.454906 0.890539i \(-0.349673\pi\)
−0.116516 + 0.993189i \(0.537173\pi\)
\(398\) −3.70901 + 10.5145i −0.185916 + 0.527045i
\(399\) −0.734927 10.9627i −0.0367924 0.548819i
\(400\) −18.5140 + 0.332382i −0.925701 + 0.0166191i
\(401\) −3.50424 + 1.45150i −0.174993 + 0.0724846i −0.468460 0.883485i \(-0.655191\pi\)
0.293467 + 0.955969i \(0.405191\pi\)
\(402\) −16.4084 + 9.24750i −0.818374 + 0.461223i
\(403\) −18.6031 + 9.94356i −0.926686 + 0.495324i
\(404\) 12.4053 + 12.1846i 0.617187 + 0.606206i
\(405\) 4.47336 + 3.16540i 0.222283 + 0.157290i
\(406\) 4.17556 16.9930i 0.207230 0.843347i
\(407\) −0.0627956 + 0.0939802i −0.00311266 + 0.00465842i
\(408\) 8.55514 31.7491i 0.423543 1.57181i
\(409\) −7.53602 + 5.03541i −0.372632 + 0.248985i −0.727759 0.685833i \(-0.759438\pi\)
0.355126 + 0.934818i \(0.384438\pi\)
\(410\) 8.40739 + 3.93032i 0.415211 + 0.194105i
\(411\) −9.09130 0.284066i −0.448441 0.0140119i
\(412\) −8.80496 28.1151i −0.433789 1.38513i
\(413\) 1.43855 + 14.6059i 0.0707865 + 0.718707i
\(414\) −8.07416 19.9940i −0.396823 0.982652i
\(415\) 4.79623 4.79623i 0.235438 0.235438i
\(416\) 15.4962 9.76721i 0.759763 0.478877i
\(417\) 13.5837 + 4.58850i 0.665198 + 0.224700i
\(418\) 2.78611 0.711188i 0.136273 0.0347853i
\(419\) 2.86844 + 29.1238i 0.140133 + 1.42279i 0.765990 + 0.642853i \(0.222249\pi\)
−0.625857 + 0.779938i \(0.715251\pi\)
\(420\) 3.65299 8.29206i 0.178247 0.404611i
\(421\) 30.1769 + 16.1299i 1.47073 + 0.786122i 0.995592 0.0937898i \(-0.0298982\pi\)
0.475138 + 0.879911i \(0.342398\pi\)
\(422\) 25.0840 9.10240i 1.22107 0.443098i
\(423\) 16.9523 + 1.06042i 0.824249 + 0.0515592i
\(424\) −22.0060 12.7904i −1.06871 0.621156i
\(425\) −17.2622 + 25.8347i −0.837340 + 1.25317i
\(426\) −6.74440 4.29170i −0.326767 0.207934i
\(427\) −5.63094 6.86132i −0.272500 0.332043i
\(428\) −4.13884 9.74375i −0.200058 0.470982i
\(429\) 4.48886 6.28394i 0.216724 0.303392i
\(430\) 4.73730 5.27418i 0.228453 0.254344i
\(431\) −24.9254 + 10.3244i −1.20061 + 0.497310i −0.891197 0.453617i \(-0.850133\pi\)
−0.309416 + 0.950927i \(0.600133\pi\)
\(432\) 6.47780 + 19.7494i 0.311663 + 0.950193i
\(433\) 10.2109 + 4.22951i 0.490706 + 0.203257i 0.614295 0.789076i \(-0.289440\pi\)
−0.123589 + 0.992334i \(0.539440\pi\)
\(434\) −35.6996 + 17.0811i −1.71364 + 0.819920i
\(435\) 0.499283 + 2.99634i 0.0239388 + 0.143664i
\(436\) 7.81483 + 37.5244i 0.374263 + 1.79709i
\(437\) 0.735616 7.46883i 0.0351893 0.357283i
\(438\) −2.82472 + 16.0689i −0.134970 + 0.767802i
\(439\) 5.81467 + 29.2323i 0.277519 + 1.39518i 0.828184 + 0.560456i \(0.189374\pi\)
−0.550665 + 0.834726i \(0.685626\pi\)
\(440\) 2.30783 + 0.545169i 0.110021 + 0.0259899i
\(441\) −22.7337 25.7676i −1.08256 1.22703i
\(442\) 1.37037 30.7058i 0.0651821 1.46052i
\(443\) 17.8153 5.40420i 0.846428 0.256761i 0.162861 0.986649i \(-0.447928\pi\)
0.683567 + 0.729888i \(0.260428\pi\)
\(444\) −0.152681 0.239896i −0.00724592 0.0113850i
\(445\) 0.748275 0.911775i 0.0354716 0.0432223i
\(446\) 9.55884 7.15604i 0.452624 0.338848i
\(447\) −28.2300 + 13.9738i −1.33523 + 0.660937i
\(448\) 29.8616 17.0105i 1.41083 0.803670i
\(449\) −22.2311 −1.04915 −0.524576 0.851363i \(-0.675776\pi\)
−0.524576 + 0.851363i \(0.675776\pi\)
\(450\) 0.174724 19.6395i 0.00823658 0.925814i
\(451\) 11.4715 + 9.41443i 0.540173 + 0.443308i
\(452\) −13.7036 11.0419i −0.644563 0.519368i
\(453\) −13.0320 13.8726i −0.612295 0.651793i
\(454\) 0.627140 14.0522i 0.0294331 0.659504i
\(455\) 1.65240 8.30716i 0.0774655 0.389446i
\(456\) −1.18847 + 7.13585i −0.0556553 + 0.334167i
\(457\) −5.17851 + 1.03007i −0.242240 + 0.0481846i −0.314717 0.949185i \(-0.601910\pi\)
0.0724768 + 0.997370i \(0.476910\pi\)
\(458\) −5.07407 3.72800i −0.237095 0.174198i
\(459\) 33.4193 + 9.97480i 1.55988 + 0.465584i
\(460\) 3.39224 5.17683i 0.158164 0.241371i
\(461\) 0.456002 + 0.138327i 0.0212381 + 0.00644252i 0.300886 0.953660i \(-0.402718\pi\)
−0.279648 + 0.960103i \(0.590218\pi\)
\(462\) 8.93913 11.4025i 0.415886 0.530493i
\(463\) 10.2065 24.6406i 0.474336 1.14515i −0.487892 0.872904i \(-0.662234\pi\)
0.962228 0.272244i \(-0.0877658\pi\)
\(464\) −5.24779 + 10.2566i −0.243623 + 0.476152i
\(465\) 4.52210 5.17198i 0.209707 0.239845i
\(466\) −9.07080 + 10.0988i −0.420197 + 0.467818i
\(467\) 2.14486 1.14645i 0.0992523 0.0530515i −0.421024 0.907050i \(-0.638329\pi\)
0.520276 + 0.853998i \(0.325829\pi\)
\(468\) 9.91474 + 16.7084i 0.458309 + 0.772344i
\(469\) −25.5340 + 20.9552i −1.17905 + 0.967621i
\(470\) 2.52520 + 4.17048i 0.116479 + 0.192370i
\(471\) 24.7880 + 3.22585i 1.14217 + 0.148639i
\(472\) 1.28907 9.57683i 0.0593343 0.440809i
\(473\) 9.42557 6.29797i 0.433388 0.289581i
\(474\) 7.11935 + 6.80817i 0.327003 + 0.312710i
\(475\) 3.22239 6.02867i 0.147854 0.276614i
\(476\) 5.13700 57.4373i 0.235454 2.63263i
\(477\) 14.1879 22.9683i 0.649620 1.05165i
\(478\) 15.5279 3.96367i 0.710229 0.181294i
\(479\) 6.76388 6.76388i 0.309049 0.309049i −0.535491 0.844541i \(-0.679874\pi\)
0.844541 + 0.535491i \(0.179874\pi\)
\(480\) −3.59590 + 4.76041i −0.164129 + 0.217282i
\(481\) −0.187956 0.187956i −0.00857006 0.00857006i
\(482\) −37.5805 22.2963i −1.71175 1.01557i
\(483\) −20.0172 32.0837i −0.910816 1.45986i
\(484\) −16.1346 8.43880i −0.733389 0.383582i
\(485\) −8.91848 4.76703i −0.404967 0.216460i
\(486\) −21.1243 + 6.30595i −0.958217 + 0.286044i
\(487\) 10.5550 + 15.7966i 0.478292 + 0.715814i 0.989642 0.143558i \(-0.0458544\pi\)
−0.511350 + 0.859373i \(0.670854\pi\)
\(488\) 2.56959 + 5.24891i 0.116320 + 0.237607i
\(489\) −27.9425 3.63637i −1.26360 0.164443i
\(490\) 2.35361 9.57832i 0.106325 0.432704i
\(491\) 20.5371 + 25.0246i 0.926827 + 1.12934i 0.991326 + 0.131424i \(0.0419551\pi\)
−0.0644990 + 0.997918i \(0.520545\pi\)
\(492\) −33.3101 + 16.8624i −1.50174 + 0.760214i
\(493\) 9.11319 + 17.0496i 0.410438 + 0.767875i
\(494\) 0.362112 + 6.75248i 0.0162922 + 0.303808i
\(495\) −0.643740 + 2.43142i −0.0289340 + 0.109284i
\(496\) 25.4610 5.54139i 1.14323 0.248816i
\(497\) −12.9526 5.36514i −0.581004 0.240660i
\(498\) 3.28047 + 27.0887i 0.147002 + 1.21388i
\(499\) 4.49388 14.8144i 0.201174 0.663181i −0.797067 0.603891i \(-0.793616\pi\)
0.998241 0.0592904i \(-0.0188838\pi\)
\(500\) 9.69123 6.60206i 0.433405 0.295253i
\(501\) 0.853057 + 2.25632i 0.0381118 + 0.100805i
\(502\) −11.7910 + 1.80314i −0.526256 + 0.0804780i
\(503\) −6.59114 33.1359i −0.293884 1.47746i −0.792094 0.610400i \(-0.791009\pi\)
0.498209 0.867057i \(-0.333991\pi\)
\(504\) 17.1856 + 32.1459i 0.765508 + 1.43189i
\(505\) −5.19210 1.03277i −0.231046 0.0459578i
\(506\) 7.30310 6.67909i 0.324663 0.296922i
\(507\) −2.98216 3.17453i −0.132443 0.140986i
\(508\) 8.55955 29.1566i 0.379768 1.29361i
\(509\) 13.7349 16.7361i 0.608790 0.741813i −0.373819 0.927502i \(-0.621952\pi\)
0.982609 + 0.185689i \(0.0594517\pi\)
\(510\) 3.11920 + 9.51229i 0.138120 + 0.421211i
\(511\) 28.6132i 1.26578i
\(512\) −21.7094 + 6.37982i −0.959429 + 0.281951i
\(513\) −7.53214 1.46329i −0.332552 0.0646056i
\(514\) −10.2992 1.48053i −0.454277 0.0653035i
\(515\) 6.93350 + 5.69017i 0.305526 + 0.250739i
\(516\) 4.93991 + 28.0885i 0.217467 + 1.23653i
\(517\) 2.26302 + 7.46019i 0.0995277 + 0.328099i
\(518\) −0.336564 0.368009i −0.0147878 0.0161694i
\(519\) 2.48680 + 9.22590i 0.109159 + 0.404972i
\(520\) −2.31625 + 5.07290i −0.101574 + 0.222462i
\(521\) 0.551890 0.109778i 0.0241787 0.00480945i −0.182986 0.983115i \(-0.558576\pi\)
0.207165 + 0.978306i \(0.433576\pi\)
\(522\) −10.7255 5.85615i −0.469441 0.256317i
\(523\) −8.89055 0.875643i −0.388757 0.0382892i −0.0982491 0.995162i \(-0.531324\pi\)
−0.290508 + 0.956873i \(0.593824\pi\)
\(524\) 19.2787 + 28.2995i 0.842195 + 1.23627i
\(525\) −5.66144 33.9760i −0.247086 1.48283i
\(526\) 0.207328 0.587744i 0.00903992 0.0256269i
\(527\) 16.7321 40.3949i 0.728862 1.75963i
\(528\) −7.45395 + 5.95336i −0.324392 + 0.259087i
\(529\) −1.08326 2.61521i −0.0470980 0.113705i
\(530\) 7.73796 0.414959i 0.336115 0.0180247i
\(531\) 10.1174 + 1.63945i 0.439058 + 0.0711460i
\(532\) 0.113871 + 12.6865i 0.00493693 + 0.550029i
\(533\) −26.9775 + 22.1399i −1.16853 + 0.958985i
\(534\) 1.02943 + 4.63201i 0.0445479 + 0.200447i
\(535\) 2.67980 + 1.79059i 0.115858 + 0.0774138i
\(536\) 19.5335 9.56256i 0.843719 0.413040i
\(537\) −5.64899 + 9.81807i −0.243772 + 0.423681i
\(538\) 14.2804 + 6.67585i 0.615670 + 0.287816i
\(539\) 7.43465 13.9093i 0.320233 0.599114i
\(540\) −4.94497 3.94819i −0.212798 0.169903i
\(541\) −24.6763 + 2.43040i −1.06092 + 0.104491i −0.613391 0.789780i \(-0.710195\pi\)
−0.447526 + 0.894271i \(0.647695\pi\)
\(542\) 7.18332 12.1075i 0.308550 0.520063i
\(543\) −27.5670 9.31197i −1.18301 0.399615i
\(544\) −11.9858 + 36.0268i −0.513888 + 1.54464i
\(545\) −8.25142 8.25142i −0.353452 0.353452i
\(546\) 22.1988 + 25.8496i 0.950022 + 1.10626i
\(547\) −8.84311 + 0.870970i −0.378104 + 0.0372400i −0.285284 0.958443i \(-0.592088\pi\)
−0.0928198 + 0.995683i \(0.529588\pi\)
\(548\) 10.4611 + 0.935605i 0.446876 + 0.0399671i
\(549\) −5.63847 + 2.57503i −0.240644 + 0.109899i
\(550\) 8.47371 3.07491i 0.361320 0.131114i
\(551\) −2.36297 3.53643i −0.100666 0.150657i
\(552\) 7.97012 + 23.5884i 0.339231 + 1.00399i
\(553\) 14.3643 + 9.59795i 0.610834 + 0.408146i
\(554\) −15.9920 + 9.68306i −0.679436 + 0.411394i
\(555\) 0.0789091 + 0.0356117i 0.00334951 + 0.00151163i
\(556\) −15.3519 6.19811i −0.651063 0.262858i
\(557\) −5.73588 10.7311i −0.243037 0.454690i 0.730596 0.682810i \(-0.239242\pi\)
−0.973633 + 0.228120i \(0.926742\pi\)
\(558\) 5.15047 + 27.1535i 0.218037 + 1.14950i
\(559\) 10.2019 + 24.6296i 0.431496 + 1.04172i
\(560\) −4.76570 + 9.31441i −0.201388 + 0.393606i
\(561\) 1.07071 + 15.9714i 0.0452054 + 0.674313i
\(562\) 12.1369 5.80711i 0.511963 0.244958i
\(563\) 5.39635 17.7894i 0.227429 0.749733i −0.766745 0.641951i \(-0.778125\pi\)
0.994175 0.107782i \(-0.0343749\pi\)
\(564\) −19.4710 2.35640i −0.819878 0.0992222i
\(565\) 5.33204 + 0.525160i 0.224321 + 0.0220936i
\(566\) 9.25710 12.5995i 0.389105 0.529598i
\(567\) −34.5729 + 17.3062i −1.45192 + 0.726794i
\(568\) 7.48760 + 5.39846i 0.314173 + 0.226514i
\(569\) 34.4086 + 6.84430i 1.44248 + 0.286928i 0.853448 0.521178i \(-0.174507\pi\)
0.589037 + 0.808106i \(0.299507\pi\)
\(570\) −0.888065 2.01542i −0.0371969 0.0844167i
\(571\) 1.23344 + 4.06609i 0.0516177 + 0.170161i 0.978959 0.204055i \(-0.0654121\pi\)
−0.927342 + 0.374215i \(0.877912\pi\)
\(572\) −5.59494 + 6.94361i −0.233936 + 0.290327i
\(573\) 0.206972 0.893672i 0.00864640 0.0373337i
\(574\) −52.4160 + 39.2402i −2.18780 + 1.63785i
\(575\) 23.5277i 0.981171i
\(576\) −6.14626 23.1996i −0.256094 0.966652i
\(577\) 9.62571i 0.400724i −0.979722 0.200362i \(-0.935788\pi\)
0.979722 0.200362i \(-0.0642117\pi\)
\(578\) 23.7732 + 31.7556i 0.988834 + 1.32086i
\(579\) −8.97384 + 38.7475i −0.372940 + 1.61029i
\(580\) −0.375120 3.48746i −0.0155760 0.144809i
\(581\) 13.8914 + 45.7938i 0.576313 + 1.89985i
\(582\) 37.2276 16.4038i 1.54314 0.679959i
\(583\) 12.1529 + 2.41735i 0.503320 + 0.100117i
\(584\) 4.33113 18.3347i 0.179223 0.758694i
\(585\) −5.31274 2.60031i −0.219655 0.107510i
\(586\) 34.8743 + 25.6228i 1.44065 + 1.05847i
\(587\) −5.03642 0.496044i −0.207875 0.0204739i −0.00645651 0.999979i \(-0.502055\pi\)
−0.201419 + 0.979505i \(0.564555\pi\)
\(588\) 24.4828 + 31.2246i 1.00966 + 1.28768i
\(589\) −2.79235 + 9.20514i −0.115057 + 0.379291i
\(590\) 1.26976 + 2.65379i 0.0522750 + 0.109255i
\(591\) −1.86151 27.7675i −0.0765724 1.14220i
\(592\) 0.159957 + 0.286756i 0.00657421 + 0.0117856i
\(593\) −13.6108 32.8595i −0.558930 1.34938i −0.910614 0.413257i \(-0.864391\pi\)
0.351684 0.936119i \(-0.385609\pi\)
\(594\) −6.09998 8.07277i −0.250285 0.331230i
\(595\) 8.27601 + 15.4833i 0.339283 + 0.634754i
\(596\) 33.4772 14.2201i 1.37128 0.582476i
\(597\) 12.4465 + 5.61711i 0.509402 + 0.229893i
\(598\) 12.0548 + 19.9090i 0.492956 + 0.814139i
\(599\) −31.0103 20.7204i −1.26705 0.846614i −0.273704 0.961814i \(-0.588249\pi\)
−0.993342 + 0.115200i \(0.963249\pi\)
\(600\) −1.51516 + 22.6279i −0.0618561 + 0.923782i
\(601\) 1.14679 + 1.71629i 0.0467785 + 0.0700090i 0.854122 0.520073i \(-0.174095\pi\)
−0.807343 + 0.590082i \(0.799095\pi\)
\(602\) 17.0613 + 47.0168i 0.695365 + 1.91626i
\(603\) 9.58280 + 20.9832i 0.390242 + 0.854503i
\(604\) 14.0948 + 16.8636i 0.573508 + 0.686169i
\(605\) 5.51671 0.543349i 0.224286 0.0220903i
\(606\) 16.1564 13.8746i 0.656309 0.563618i
\(607\) 17.4491 + 17.4491i 0.708235 + 0.708235i 0.966164 0.257929i \(-0.0830399\pi\)
−0.257929 + 0.966164i \(0.583040\pi\)
\(608\) 1.84736 8.14643i 0.0749204 0.330381i
\(609\) −20.3041 6.85859i −0.822762 0.277924i
\(610\) −1.53018 0.907845i −0.0619551 0.0367576i
\(611\) −18.2453 + 1.79700i −0.738124 + 0.0726989i
\(612\) −37.8572 13.7341i −1.53029 0.555167i
\(613\) −8.91954 + 16.6873i −0.360257 + 0.673993i −0.995124 0.0986277i \(-0.968555\pi\)
0.634867 + 0.772621i \(0.281055\pi\)
\(614\) 11.4292 24.4484i 0.461247 0.986656i
\(615\) 5.66859 9.85213i 0.228579 0.397276i
\(616\) −11.0674 + 12.5464i −0.445920 + 0.505510i
\(617\) 6.41034 + 4.28325i 0.258070 + 0.172437i 0.677875 0.735178i \(-0.262901\pi\)
−0.419804 + 0.907615i \(0.637901\pi\)
\(618\) −35.2236 + 7.82820i −1.41690 + 0.314897i
\(619\) −32.9830 + 27.0684i −1.32570 + 1.08797i −0.336454 + 0.941700i \(0.609228\pi\)
−0.989244 + 0.146273i \(0.953272\pi\)
\(620\) −5.55887 + 5.65956i −0.223250 + 0.227294i
\(621\) −25.2372 + 7.77892i −1.01273 + 0.312157i
\(622\) −1.36475 25.4492i −0.0547216 1.02042i
\(623\) 3.18456 + 7.68821i 0.127587 + 0.308022i
\(624\) −10.3117 19.9240i −0.412797 0.797597i
\(625\) 7.49149 18.0861i 0.299660 0.723443i
\(626\) −12.1139 4.27320i −0.484169 0.170791i
\(627\) −0.578841 3.47380i −0.0231167 0.138730i
\(628\) −28.3588 5.37678i −1.13164 0.214557i
\(629\) 0.548316 + 0.0540044i 0.0218628 + 0.00215330i
\(630\) −9.74017 5.31817i −0.388058 0.211881i
\(631\) −15.8609 + 3.15494i −0.631414 + 0.125596i −0.500414 0.865786i \(-0.666819\pi\)
−0.131000 + 0.991382i \(0.541819\pi\)
\(632\) −7.75150 8.32443i −0.308338 0.331128i
\(633\) −8.50565 31.5555i −0.338069 1.25422i
\(634\) −33.5316 + 30.6665i −1.33171 + 1.21792i
\(635\) 2.68549 + 8.85286i 0.106570 + 0.351315i
\(636\) −17.8917 + 25.5279i −0.709452 + 1.01225i
\(637\) 28.6709 + 23.5296i 1.13598 + 0.932276i
\(638\) 0.798061 5.55163i 0.0315955 0.219791i
\(639\) −5.93706 + 7.78523i −0.234867 + 0.307979i
\(640\) 4.46365 5.24707i 0.176441 0.207409i
\(641\) 17.2085i 0.679696i −0.940480 0.339848i \(-0.889624\pi\)
0.940480 0.339848i \(-0.110376\pi\)
\(642\) −12.3201 + 4.03992i −0.486236 + 0.159443i
\(643\) −10.9486 + 13.3410i −0.431772 + 0.526116i −0.942760 0.333472i \(-0.891780\pi\)
0.510988 + 0.859588i \(0.329280\pi\)
\(644\) 20.9289 + 38.3239i 0.824715 + 1.51017i
\(645\) −5.94483 6.32831i −0.234077 0.249177i
\(646\) −9.45949 10.3433i −0.372178 0.406950i
\(647\) −11.3793 2.26348i −0.447366 0.0889867i −0.0337342 0.999431i \(-0.510740\pi\)
−0.413632 + 0.910444i \(0.635740\pi\)
\(648\) 24.7731 5.85619i 0.973178 0.230053i
\(649\) 0.917743 + 4.61380i 0.0360245 + 0.181108i
\(650\) 3.20462 + 20.9554i 0.125696 + 0.821940i
\(651\) 17.1411 + 45.3379i 0.671812 + 1.77693i
\(652\) 31.9678 + 6.06103i 1.25195 + 0.237368i
\(653\) 2.09983 6.92220i 0.0821725 0.270887i −0.906220 0.422806i \(-0.861045\pi\)
0.988393 + 0.151919i \(0.0485453\pi\)
\(654\) 46.6034 5.64372i 1.82234 0.220687i
\(655\) −9.63135 3.98944i −0.376328 0.155880i
\(656\) 39.5266 17.2101i 1.54326 0.671940i
\(657\) 19.3165 + 5.11423i 0.753609 + 0.199525i
\(658\) −34.3475 + 1.84193i −1.33900 + 0.0718060i
\(659\) 20.0680 + 37.5446i 0.781739 + 1.46253i 0.883857 + 0.467758i \(0.154938\pi\)
−0.102118 + 0.994772i \(0.532562\pi\)
\(660\) 0.904724 2.75978i 0.0352163 0.107424i
\(661\) −15.3659 18.7234i −0.597663 0.728255i 0.383046 0.923729i \(-0.374875\pi\)
−0.980709 + 0.195475i \(0.937375\pi\)
\(662\) −11.6274 2.85711i −0.451911 0.111045i
\(663\) −37.3294 4.85797i −1.44975 0.188668i
\(664\) −1.96956 31.4463i −0.0764336 1.22035i
\(665\) −2.14589 3.21156i −0.0832141 0.124539i
\(666\) −0.308596 + 0.161435i −0.0119578 + 0.00625547i
\(667\) −12.9103 6.90068i −0.499888 0.267195i
\(668\) −0.832439 2.65806i −0.0322080 0.102844i
\(669\) −7.74112 12.4075i −0.299289 0.479701i
\(670\) −3.37849 + 5.69447i −0.130522 + 0.219996i
\(671\) −2.01173 2.01173i −0.0776619 0.0776619i
\(672\) −17.6606 38.2061i −0.681271 1.47383i
\(673\) 6.79275 6.79275i 0.261841 0.261841i −0.563960 0.825802i \(-0.690723\pi\)
0.825802 + 0.563960i \(0.190723\pi\)
\(674\) −3.12753 12.2523i −0.120468 0.471939i
\(675\) −23.9488 2.25076i −0.921788 0.0866319i
\(676\) 3.22537 + 3.85897i 0.124053 + 0.148422i
\(677\) 14.7513 27.5978i 0.566939 1.06067i −0.421180 0.906977i \(-0.638384\pi\)
0.988119 0.153691i \(-0.0491161\pi\)
\(678\) −14.8966 + 15.5775i −0.572102 + 0.598251i
\(679\) 59.3219 39.6376i 2.27656 1.52115i
\(680\) −2.95938 11.1741i −0.113487 0.428505i
\(681\) −17.0835 2.22321i −0.654640 0.0851934i
\(682\) −10.8509 + 6.57013i −0.415501 + 0.251583i
\(683\) −34.2348 + 28.0957i −1.30996 + 1.07505i −0.318051 + 0.948073i \(0.603028\pi\)
−0.991905 + 0.126980i \(0.959472\pi\)
\(684\) 8.58488 + 2.19067i 0.328251 + 0.0837622i
\(685\) −2.81999 + 1.50732i −0.107746 + 0.0575916i
\(686\) 20.1317 + 18.0824i 0.768632 + 0.690390i
\(687\) −5.07586 + 5.80533i −0.193656 + 0.221487i
\(688\) −3.81561 32.7097i −0.145469 1.24705i
\(689\) −11.1513 + 26.9216i −0.424830 + 1.02563i
\(690\) −5.96557 4.67677i −0.227105 0.178042i
\(691\) 0.147932 + 0.0448746i 0.00562759 + 0.00170711i 0.293097 0.956083i \(-0.405314\pi\)
−0.287470 + 0.957790i \(0.592814\pi\)
\(692\) −2.24954 10.8016i −0.0855148 0.410616i
\(693\) −12.9876 12.0918i −0.493357 0.459329i
\(694\) 25.9727 35.3506i 0.985909 1.34189i
\(695\) 4.94351 0.983325i 0.187518 0.0372996i
\(696\) 11.9722 + 7.46820i 0.453804 + 0.283081i
\(697\) 14.1126 70.9490i 0.534554 2.68739i
\(698\) 39.0864 + 1.74440i 1.47944 + 0.0660264i
\(699\) 11.3829 + 12.1172i 0.430542 + 0.458315i
\(700\) 4.25354 + 39.5449i 0.160769 + 1.49466i
\(701\) 10.6078 + 8.70563i 0.400653 + 0.328807i 0.813047 0.582198i \(-0.197807\pi\)
−0.412394 + 0.911006i \(0.635307\pi\)
\(702\) 21.4185 10.3659i 0.808391 0.391237i
\(703\) −0.121216 −0.00457177
\(704\) 8.99087 6.36419i 0.338856 0.239859i
\(705\) 5.35140 2.64893i 0.201545 0.0997646i
\(706\) 14.3742 + 19.2007i 0.540981 + 0.722628i
\(707\) 23.6938 28.8710i 0.891099 1.08581i
\(708\) −11.5533 2.56668i −0.434199 0.0964616i
\(709\) 31.2916 9.49220i 1.17518 0.356487i 0.358474 0.933540i \(-0.383297\pi\)
0.816707 + 0.577053i \(0.195797\pi\)
\(710\) −2.80748 0.125296i −0.105363 0.00470227i
\(711\) 9.04691 7.98172i 0.339286 0.299338i
\(712\) −0.876840 5.40846i −0.0328610 0.202691i
\(713\) 6.45904 + 32.4718i 0.241893 + 1.21608i
\(714\) −69.5602 12.2279i −2.60323 0.457616i
\(715\) 0.266098 2.70174i 0.00995152 0.101039i
\(716\) 7.16869 10.9400i 0.267907 0.408848i
\(717\) −3.22606 19.3606i −0.120480 0.723033i
\(718\) −6.43584 13.4509i −0.240184 0.501984i
\(719\) −20.7103 8.57848i −0.772363 0.319923i −0.0385338 0.999257i \(-0.512269\pi\)
−0.733829 + 0.679334i \(0.762269\pi\)
\(720\) 5.43626 + 4.88211i 0.202598 + 0.181945i
\(721\) −58.4642 + 24.2167i −2.17732 + 0.901875i
\(722\) −17.6960 15.8947i −0.658577 0.591538i
\(723\) −31.1080 + 43.5480i −1.15692 + 1.61957i
\(724\) 31.1552 + 12.5785i 1.15788 + 0.467477i
\(725\) −8.45876 10.3070i −0.314151 0.382794i
\(726\) −11.9721 + 18.8142i −0.444328 + 0.698260i
\(727\) 10.1372 15.1714i 0.375968 0.562676i −0.594442 0.804138i \(-0.702627\pi\)
0.970410 + 0.241463i \(0.0776271\pi\)
\(728\) −23.8608 31.2833i −0.884339 1.15944i
\(729\) 5.50384 + 26.4331i 0.203846 + 0.979003i
\(730\) 1.95646 + 5.39154i 0.0724119 + 0.199550i
\(731\) −48.7336 26.0486i −1.80248 0.963443i
\(732\) 6.67206 2.59122i 0.246606 0.0957741i
\(733\) −3.84652 39.0544i −0.142075 1.44251i −0.756738 0.653718i \(-0.773208\pi\)
0.614664 0.788789i \(-0.289292\pi\)
\(734\) −0.0651485 0.255223i −0.00240468 0.00942043i
\(735\) −11.4447 3.86594i −0.422142 0.142597i
\(736\) −7.60974 27.7250i −0.280499 1.02196i
\(737\) −7.48652 + 7.48652i −0.275770 + 0.275770i
\(738\) 17.1220 + 42.3992i 0.630271 + 1.56074i
\(739\) −5.29102 53.7206i −0.194633 1.97614i −0.216083 0.976375i \(-0.569328\pi\)
0.0214501 0.999770i \(-0.493172\pi\)
\(740\) −0.0885812 0.0463303i −0.00325631 0.00170313i
\(741\) 8.27791 + 0.258651i 0.304097 + 0.00950177i
\(742\) −23.1529 + 49.5264i −0.849968 + 1.81817i
\(743\) 22.8996 15.3011i 0.840107 0.561341i −0.0594071 0.998234i \(-0.518921\pi\)
0.899514 + 0.436893i \(0.143921\pi\)
\(744\) −4.12089 31.6460i −0.151079 1.16020i
\(745\) −6.15202 + 9.20715i −0.225393 + 0.337324i
\(746\) 9.98608 + 2.45381i 0.365616 + 0.0898403i
\(747\) 33.3979 1.19292i 1.22196 0.0436467i
\(748\) −0.165897 18.4828i −0.00606581 0.675799i
\(749\) −20.0537 + 10.7189i −0.732744 + 0.391660i
\(750\) −7.05133 12.5116i −0.257478 0.456858i
\(751\) 41.9847 17.3906i 1.53204 0.634594i 0.552084 0.833788i \(-0.313833\pi\)
0.979960 + 0.199195i \(0.0638326\pi\)
\(752\) 22.2878 + 4.01884i 0.812753 + 0.146552i
\(753\) 0.977168 + 14.5761i 0.0356100 + 0.531182i
\(754\) 12.4387 + 4.38778i 0.452992 + 0.159794i
\(755\) −6.40306 1.94235i −0.233031 0.0706893i
\(756\) 41.0119 17.6373i 1.49159 0.641462i
\(757\) −0.0222091 + 0.225492i −0.000807202 + 0.00819566i −0.995580 0.0939185i \(-0.970061\pi\)
0.994773 + 0.102114i \(0.0325607\pi\)
\(758\) 2.59981 + 17.0005i 0.0944294 + 0.617486i
\(759\) −7.39310 9.60523i −0.268353 0.348648i
\(760\) 0.888909 + 2.38271i 0.0322441 + 0.0864298i
\(761\) 6.22899 31.3152i 0.225801 1.13518i −0.686964 0.726691i \(-0.741057\pi\)
0.912765 0.408485i \(-0.133943\pi\)
\(762\) −34.6930 13.4705i −1.25679 0.487985i
\(763\) 78.7836 23.8988i 2.85216 0.865193i
\(764\) −0.298370 + 1.01635i −0.0107947 + 0.0367701i
\(765\) 11.9319 2.81962i 0.431397 0.101943i
\(766\) −5.15624 + 35.8689i −0.186303 + 1.29600i
\(767\) −11.0628 −0.399456
\(768\) 5.53327 + 27.1548i 0.199665 + 0.979864i
\(769\) −18.5929 −0.670478 −0.335239 0.942133i \(-0.608817\pi\)
−0.335239 + 0.942133i \(0.608817\pi\)
\(770\) 0.724746 5.04163i 0.0261180 0.181688i
\(771\) −2.87527 + 12.4149i −0.103550 + 0.447113i
\(772\) 12.9366 44.0664i 0.465600 1.58598i
\(773\) 36.3165 11.0165i 1.30621