Properties

Label 230.2.j.a.219.7
Level $230$
Weight $2$
Character 230.219
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 219.7
Character \(\chi\) \(=\) 230.219
Dual form 230.2.j.a.209.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.540641 + 0.841254i) q^{2} +(-2.56448 - 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.88872 - 1.19697i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(1.82575 - 1.58202i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +O(q^{10})\) \(q+(0.540641 + 0.841254i) q^{2} +(-2.56448 - 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.88872 - 1.19697i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(1.82575 - 1.58202i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +(2.02807 + 0.941762i) q^{10} +(1.25768 + 0.808265i) q^{11} +(1.40072 - 2.17956i) q^{12} +(3.06511 + 2.65594i) q^{13} +(2.31795 + 0.680612i) q^{14} +(-5.28493 + 2.37320i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(5.62426 - 2.56851i) q^{17} +(1.04593 + 3.56212i) q^{18} +(0.291448 - 0.638182i) q^{19} +(0.304199 + 2.21528i) q^{20} +(-5.26540 + 3.38387i) q^{21} +1.49501i q^{22} +(-3.56194 + 3.21132i) q^{23} +2.59085 q^{24} +(2.13453 - 4.52148i) q^{25} +(-0.577190 + 4.01445i) q^{26} +(-1.67918 - 0.766856i) q^{27} +(0.680612 + 2.31795i) q^{28} +(-2.53349 - 5.54757i) q^{29} +(-4.85371 - 3.16291i) q^{30} +(-0.649873 - 4.51997i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-2.92729 - 2.53651i) q^{33} +(5.20148 + 3.34279i) q^{34} +(1.55469 - 5.17335i) q^{35} +(-2.43118 + 2.80573i) q^{36} +(-1.60042 + 5.45053i) q^{37} +(0.694442 - 0.0998457i) q^{38} +(-6.88114 - 7.94125i) q^{39} +(-1.69915 + 1.45358i) q^{40} +(-4.89061 + 1.43601i) q^{41} +(-5.69338 - 2.60008i) q^{42} +(-4.99509 - 0.718186i) q^{43} +(-1.25768 + 0.808265i) q^{44} +(7.97981 - 2.28828i) q^{45} +(-4.62726 - 1.26033i) q^{46} -4.52400i q^{47} +(1.40072 + 2.17956i) q^{48} +(-0.165637 + 1.15203i) q^{49} +(4.95772 - 0.648819i) q^{50} +(-15.3704 + 4.51315i) q^{51} +(-3.68922 + 1.68481i) q^{52} +(4.01724 - 3.48096i) q^{53} +(-0.262713 - 1.82721i) q^{54} +(3.34288 + 0.0211755i) q^{55} +(-1.58202 + 1.82575i) q^{56} +(-0.982721 + 1.52914i) q^{57} +(3.29720 - 5.13055i) q^{58} +(-9.64692 + 11.1331i) q^{59} +(0.0366970 - 5.79320i) q^{60} +(2.04923 + 14.2527i) q^{61} +(3.45109 - 2.99039i) q^{62} +(8.15822 - 3.72573i) q^{63} +(0.959493 - 0.281733i) q^{64} +(8.96822 + 1.34747i) q^{65} +(0.551236 - 3.83393i) q^{66} +(1.77215 + 2.75752i) q^{67} +6.18301i q^{68} +(10.3186 - 6.92201i) q^{69} +(5.19263 - 1.48903i) q^{70} +(9.51232 - 6.11320i) q^{71} +(-3.67472 - 0.528345i) q^{72} +(-3.05196 - 1.39378i) q^{73} +(-5.45053 + 1.60042i) q^{74} +(-7.14110 + 10.8082i) q^{75} +(0.459439 + 0.530221i) q^{76} +(3.57490 - 0.513993i) q^{77} +(2.96039 - 10.0821i) q^{78} +(1.54077 - 1.77814i) q^{79} +(-2.14146 - 0.643551i) q^{80} +(-5.34601 - 3.43567i) q^{81} +(-3.85212 - 3.33788i) q^{82} +(0.823140 - 2.80336i) q^{83} +(-0.890748 - 6.19529i) q^{84} +(7.54822 - 11.5833i) q^{85} +(-2.09637 - 4.59042i) q^{86} +(4.45160 + 15.1608i) q^{87} +(-1.35991 - 0.621051i) q^{88} +(-0.515328 + 3.58419i) q^{89} +(6.23923 + 5.47591i) q^{90} +9.79786 q^{91} +(-1.44143 - 4.57409i) q^{92} +11.8310i q^{93} +(3.80583 - 2.44586i) q^{94} +(-0.213421 - 1.55420i) q^{95} +(-1.07628 + 2.35672i) q^{96} +(3.34235 + 11.3830i) q^{97} +(-1.05870 + 0.483491i) q^{98} +(3.63464 + 4.19460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.540641 + 0.841254i 0.382291 + 0.594856i
\(3\) −2.56448 0.368717i −1.48060 0.212879i −0.645834 0.763478i \(-0.723490\pi\)
−0.834769 + 0.550600i \(0.814399\pi\)
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) 1.88872 1.19697i 0.844661 0.535301i
\(6\) −1.07628 2.35672i −0.439389 0.962127i
\(7\) 1.82575 1.58202i 0.690067 0.597946i −0.237596 0.971364i \(-0.576360\pi\)
0.927663 + 0.373418i \(0.121814\pi\)
\(8\) −0.989821 + 0.142315i −0.349955 + 0.0503159i
\(9\) 3.56212 + 1.04593i 1.18737 + 0.348645i
\(10\) 2.02807 + 0.941762i 0.641333 + 0.297811i
\(11\) 1.25768 + 0.808265i 0.379206 + 0.243701i 0.716333 0.697758i \(-0.245819\pi\)
−0.337127 + 0.941459i \(0.609455\pi\)
\(12\) 1.40072 2.17956i 0.404353 0.629185i
\(13\) 3.06511 + 2.65594i 0.850110 + 0.736624i 0.966524 0.256576i \(-0.0825945\pi\)
−0.116414 + 0.993201i \(0.537140\pi\)
\(14\) 2.31795 + 0.680612i 0.619498 + 0.181901i
\(15\) −5.28493 + 2.37320i −1.36456 + 0.612758i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 5.62426 2.56851i 1.36408 0.622956i 0.407177 0.913349i \(-0.366513\pi\)
0.956907 + 0.290393i \(0.0937861\pi\)
\(18\) 1.04593 + 3.56212i 0.246529 + 0.839601i
\(19\) 0.291448 0.638182i 0.0668628 0.146409i −0.873250 0.487272i \(-0.837992\pi\)
0.940113 + 0.340863i \(0.110719\pi\)
\(20\) 0.304199 + 2.21528i 0.0680210 + 0.495352i
\(21\) −5.26540 + 3.38387i −1.14901 + 0.738421i
\(22\) 1.49501i 0.318738i
\(23\) −3.56194 + 3.21132i −0.742716 + 0.669606i
\(24\) 2.59085 0.528855
\(25\) 2.13453 4.52148i 0.426905 0.904296i
\(26\) −0.577190 + 4.01445i −0.113196 + 0.787298i
\(27\) −1.67918 0.766856i −0.323159 0.147582i
\(28\) 0.680612 + 2.31795i 0.128623 + 0.438051i
\(29\) −2.53349 5.54757i −0.470457 1.03016i −0.984978 0.172679i \(-0.944758\pi\)
0.514521 0.857478i \(-0.327970\pi\)
\(30\) −4.85371 3.16291i −0.886162 0.577466i
\(31\) −0.649873 4.51997i −0.116721 0.811810i −0.961127 0.276107i \(-0.910956\pi\)
0.844406 0.535703i \(-0.179953\pi\)
\(32\) 0.281733 0.959493i 0.0498038 0.169616i
\(33\) −2.92729 2.53651i −0.509575 0.441549i
\(34\) 5.20148 + 3.34279i 0.892046 + 0.573283i
\(35\) 1.55469 5.17335i 0.262791 0.874456i
\(36\) −2.43118 + 2.80573i −0.405196 + 0.467621i
\(37\) −1.60042 + 5.45053i −0.263108 + 0.896062i 0.716912 + 0.697163i \(0.245555\pi\)
−0.980020 + 0.198899i \(0.936263\pi\)
\(38\) 0.694442 0.0998457i 0.112653 0.0161971i
\(39\) −6.88114 7.94125i −1.10186 1.27162i
\(40\) −1.69915 + 1.45358i −0.268659 + 0.229831i
\(41\) −4.89061 + 1.43601i −0.763785 + 0.224268i −0.640348 0.768085i \(-0.721210\pi\)
−0.123437 + 0.992352i \(0.539392\pi\)
\(42\) −5.69338 2.60008i −0.878508 0.401201i
\(43\) −4.99509 0.718186i −0.761744 0.109522i −0.249515 0.968371i \(-0.580271\pi\)
−0.512229 + 0.858849i \(0.671180\pi\)
\(44\) −1.25768 + 0.808265i −0.189603 + 0.121850i
\(45\) 7.97981 2.28828i 1.18956 0.341116i
\(46\) −4.62726 1.26033i −0.682253 0.185825i
\(47\) 4.52400i 0.659893i −0.944000 0.329947i \(-0.892969\pi\)
0.944000 0.329947i \(-0.107031\pi\)
\(48\) 1.40072 + 2.17956i 0.202176 + 0.314593i
\(49\) −0.165637 + 1.15203i −0.0236624 + 0.164576i
\(50\) 4.95772 0.648819i 0.701128 0.0917569i
\(51\) −15.3704 + 4.51315i −2.15228 + 0.631967i
\(52\) −3.68922 + 1.68481i −0.511603 + 0.233641i
\(53\) 4.01724 3.48096i 0.551811 0.478147i −0.333756 0.942660i \(-0.608316\pi\)
0.885566 + 0.464513i \(0.153771\pi\)
\(54\) −0.262713 1.82721i −0.0357508 0.248652i
\(55\) 3.34288 + 0.0211755i 0.450754 + 0.00285530i
\(56\) −1.58202 + 1.82575i −0.211406 + 0.243975i
\(57\) −0.982721 + 1.52914i −0.130165 + 0.202540i
\(58\) 3.29720 5.13055i 0.432944 0.673674i
\(59\) −9.64692 + 11.1331i −1.25592 + 1.44941i −0.413580 + 0.910468i \(0.635722\pi\)
−0.842342 + 0.538943i \(0.818824\pi\)
\(60\) 0.0366970 5.79320i 0.00473757 0.747899i
\(61\) 2.04923 + 14.2527i 0.262377 + 1.82487i 0.514864 + 0.857272i \(0.327843\pi\)
−0.252486 + 0.967600i \(0.581248\pi\)
\(62\) 3.45109 2.99039i 0.438289 0.379779i
\(63\) 8.15822 3.72573i 1.02784 0.469398i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 8.96822 + 1.34747i 1.11237 + 0.167133i
\(66\) 0.551236 3.83393i 0.0678524 0.471924i
\(67\) 1.77215 + 2.75752i 0.216503 + 0.336885i 0.932469 0.361250i \(-0.117650\pi\)
−0.715966 + 0.698135i \(0.754014\pi\)
\(68\) 6.18301i 0.749800i
\(69\) 10.3186 6.92201i 1.24221 0.833312i
\(70\) 5.19263 1.48903i 0.620638 0.177973i
\(71\) 9.51232 6.11320i 1.12891 0.725503i 0.163574 0.986531i \(-0.447698\pi\)
0.965331 + 0.261028i \(0.0840614\pi\)
\(72\) −3.67472 0.528345i −0.433070 0.0622660i
\(73\) −3.05196 1.39378i −0.357205 0.163130i 0.228726 0.973491i \(-0.426544\pi\)
−0.585931 + 0.810361i \(0.699271\pi\)
\(74\) −5.45053 + 1.60042i −0.633612 + 0.186045i
\(75\) −7.14110 + 10.8082i −0.824583 + 1.24802i
\(76\) 0.459439 + 0.530221i 0.0527013 + 0.0608205i
\(77\) 3.57490 0.513993i 0.407398 0.0585749i
\(78\) 2.96039 10.0821i 0.335198 1.14158i
\(79\) 1.54077 1.77814i 0.173350 0.200057i −0.662425 0.749128i \(-0.730473\pi\)
0.835776 + 0.549071i \(0.185018\pi\)
\(80\) −2.14146 0.643551i −0.239422 0.0719512i
\(81\) −5.34601 3.43567i −0.594001 0.381741i
\(82\) −3.85212 3.33788i −0.425395 0.368607i
\(83\) 0.823140 2.80336i 0.0903513 0.307708i −0.901902 0.431941i \(-0.857829\pi\)
0.992253 + 0.124233i \(0.0396470\pi\)
\(84\) −0.890748 6.19529i −0.0971886 0.675961i
\(85\) 7.54822 11.5833i 0.818720 1.25638i
\(86\) −2.09637 4.59042i −0.226058 0.494998i
\(87\) 4.45160 + 15.1608i 0.477262 + 1.62540i
\(88\) −1.35991 0.621051i −0.144967 0.0662042i
\(89\) −0.515328 + 3.58419i −0.0546247 + 0.379923i 0.944110 + 0.329631i \(0.106924\pi\)
−0.998735 + 0.0502921i \(0.983985\pi\)
\(90\) 6.23923 + 5.47591i 0.657673 + 0.577211i
\(91\) 9.79786 1.02709
\(92\) −1.44143 4.57409i −0.150280 0.476882i
\(93\) 11.8310i 1.22682i
\(94\) 3.80583 2.44586i 0.392541 0.252271i
\(95\) −0.213421 1.55420i −0.0218965 0.159458i
\(96\) −1.07628 + 2.35672i −0.109847 + 0.240532i
\(97\) 3.34235 + 11.3830i 0.339364 + 1.15577i 0.935631 + 0.352981i \(0.114832\pi\)
−0.596267 + 0.802786i \(0.703350\pi\)
\(98\) −1.05870 + 0.483491i −0.106945 + 0.0488400i
\(99\) 3.63464 + 4.19460i 0.365295 + 0.421573i
\(100\) 3.22617 + 3.81993i 0.322617 + 0.381993i
\(101\) −18.3614 5.39140i −1.82703 0.536464i −0.827348 0.561690i \(-0.810151\pi\)
−0.999682 + 0.0252253i \(0.991970\pi\)
\(102\) −12.1065 10.4904i −1.19873 1.03870i
\(103\) −2.68750 + 4.18183i −0.264807 + 0.412048i −0.948039 0.318153i \(-0.896937\pi\)
0.683232 + 0.730201i \(0.260574\pi\)
\(104\) −3.41190 2.19269i −0.334564 0.215011i
\(105\) −5.89448 + 12.6937i −0.575243 + 1.23878i
\(106\) 5.10026 + 1.49757i 0.495381 + 0.145457i
\(107\) −17.3483 + 2.49431i −1.67712 + 0.241134i −0.914173 0.405325i \(-0.867159\pi\)
−0.762949 + 0.646458i \(0.776249\pi\)
\(108\) 1.39511 1.20887i 0.134245 0.116324i
\(109\) 6.21222 + 13.6029i 0.595022 + 1.30292i 0.932359 + 0.361533i \(0.117747\pi\)
−0.337337 + 0.941384i \(0.609526\pi\)
\(110\) 1.78948 + 2.82366i 0.170621 + 0.269225i
\(111\) 6.11395 13.3877i 0.580310 1.27070i
\(112\) −2.39122 0.343805i −0.225949 0.0324865i
\(113\) −10.2744 15.9873i −0.966535 1.50396i −0.860408 0.509606i \(-0.829791\pi\)
−0.106127 0.994353i \(-0.533845\pi\)
\(114\) −1.81770 −0.170243
\(115\) −2.88366 + 10.3288i −0.268903 + 0.963167i
\(116\) 6.09869 0.566249
\(117\) 8.14039 + 12.6667i 0.752579 + 1.17104i
\(118\) −14.5813 2.09648i −1.34232 0.192996i
\(119\) 6.20504 13.5871i 0.568815 1.24553i
\(120\) 4.89339 3.10117i 0.446704 0.283097i
\(121\) −3.64109 7.97287i −0.331008 0.724806i
\(122\) −10.8822 + 9.42952i −0.985232 + 0.853709i
\(123\) 13.0714 1.87938i 1.17860 0.169458i
\(124\) 4.38147 + 1.28652i 0.393468 + 0.115533i
\(125\) −1.38055 11.0948i −0.123480 0.992347i
\(126\) 7.54495 + 4.84885i 0.672158 + 0.431970i
\(127\) −7.18318 + 11.1772i −0.637404 + 0.991820i 0.360843 + 0.932627i \(0.382489\pi\)
−0.998247 + 0.0591930i \(0.981147\pi\)
\(128\) 0.755750 + 0.654861i 0.0667995 + 0.0578821i
\(129\) 12.5450 + 3.68355i 1.10453 + 0.324318i
\(130\) 3.71502 + 8.27304i 0.325829 + 0.725594i
\(131\) 9.11394 + 10.5181i 0.796289 + 0.918966i 0.998172 0.0604434i \(-0.0192515\pi\)
−0.201883 + 0.979410i \(0.564706\pi\)
\(132\) 3.52333 1.60905i 0.306666 0.140050i
\(133\) −0.477505 1.62623i −0.0414050 0.141012i
\(134\) −1.36168 + 2.98166i −0.117631 + 0.257576i
\(135\) −4.08941 + 0.561552i −0.351960 + 0.0483307i
\(136\) −5.20148 + 3.34279i −0.446023 + 0.286642i
\(137\) 16.9150i 1.44514i −0.691297 0.722571i \(-0.742960\pi\)
0.691297 0.722571i \(-0.257040\pi\)
\(138\) 11.4018 + 4.93823i 0.970588 + 0.420370i
\(139\) 17.9369 1.52139 0.760696 0.649109i \(-0.224858\pi\)
0.760696 + 0.649109i \(0.224858\pi\)
\(140\) 4.06000 + 3.56329i 0.343133 + 0.301153i
\(141\) −1.66807 + 11.6017i −0.140477 + 0.977040i
\(142\) 10.2855 + 4.69723i 0.863140 + 0.394183i
\(143\) 1.70825 + 5.81775i 0.142851 + 0.486505i
\(144\) −1.54223 3.37702i −0.128519 0.281418i
\(145\) −11.4253 7.44529i −0.948821 0.618298i
\(146\) −0.477489 3.32101i −0.0395173 0.274849i
\(147\) 0.849544 2.89328i 0.0700692 0.238634i
\(148\) −4.29314 3.72003i −0.352894 0.305784i
\(149\) −13.3485 8.57858i −1.09355 0.702784i −0.135905 0.990722i \(-0.543394\pi\)
−0.957649 + 0.287937i \(0.907030\pi\)
\(150\) −12.9532 0.164111i −1.05763 0.0133996i
\(151\) 7.06380 8.15206i 0.574844 0.663405i −0.391644 0.920117i \(-0.628094\pi\)
0.966488 + 0.256711i \(0.0826390\pi\)
\(152\) −0.197659 + 0.673164i −0.0160322 + 0.0546008i
\(153\) 22.7208 3.26676i 1.83687 0.264102i
\(154\) 2.36514 + 2.72951i 0.190588 + 0.219950i
\(155\) −6.63769 7.75907i −0.533152 0.623224i
\(156\) 10.0821 2.96039i 0.807218 0.237020i
\(157\) 2.78637 + 1.27249i 0.222377 + 0.101556i 0.523488 0.852033i \(-0.324630\pi\)
−0.301112 + 0.953589i \(0.597358\pi\)
\(158\) 2.32887 + 0.334842i 0.185275 + 0.0266386i
\(159\) −11.5856 + 7.44563i −0.918800 + 0.590477i
\(160\) −0.616370 2.14944i −0.0487283 0.169928i
\(161\) −1.42284 + 11.4981i −0.112135 + 0.906178i
\(162\) 6.35481i 0.499281i
\(163\) 1.59230 + 2.47766i 0.124718 + 0.194065i 0.897998 0.440000i \(-0.145021\pi\)
−0.773280 + 0.634065i \(0.781385\pi\)
\(164\) 0.725390 5.04520i 0.0566435 0.393964i
\(165\) −8.56495 1.28688i −0.666780 0.100183i
\(166\) 2.80336 0.823140i 0.217583 0.0638880i
\(167\) 14.0597 6.42086i 1.08797 0.496861i 0.211043 0.977477i \(-0.432314\pi\)
0.876931 + 0.480615i \(0.159587\pi\)
\(168\) 4.73023 4.09877i 0.364945 0.316227i
\(169\) 0.490833 + 3.41382i 0.0377564 + 0.262602i
\(170\) 13.8254 + 0.0875767i 1.06036 + 0.00671682i
\(171\) 1.70567 1.96845i 0.130436 0.150531i
\(172\) 2.72832 4.24535i 0.208033 0.323705i
\(173\) −7.00534 + 10.9005i −0.532606 + 0.828751i −0.998423 0.0561299i \(-0.982124\pi\)
0.465818 + 0.884881i \(0.345760\pi\)
\(174\) −10.3473 + 11.9414i −0.784429 + 0.905279i
\(175\) −3.25596 11.6319i −0.246127 0.879291i
\(176\) −0.212762 1.47980i −0.0160376 0.111544i
\(177\) 28.8443 24.9937i 2.16807 1.87864i
\(178\) −3.29382 + 1.50424i −0.246882 + 0.112747i
\(179\) −10.6510 + 3.12741i −0.796092 + 0.233754i −0.654392 0.756156i \(-0.727075\pi\)
−0.141701 + 0.989910i \(0.545257\pi\)
\(180\) −1.23344 + 8.20927i −0.0919352 + 0.611883i
\(181\) 0.716678 4.98460i 0.0532702 0.370503i −0.945696 0.325051i \(-0.894618\pi\)
0.998967 0.0454512i \(-0.0144725\pi\)
\(182\) 5.29712 + 8.24248i 0.392649 + 0.610973i
\(183\) 37.3064i 2.75777i
\(184\) 3.06867 3.68555i 0.226225 0.271702i
\(185\) 3.50138 + 12.2102i 0.257426 + 0.897711i
\(186\) −9.95285 + 6.39631i −0.729779 + 0.469000i
\(187\) 9.14959 + 1.31551i 0.669084 + 0.0961998i
\(188\) 4.11517 + 1.87934i 0.300130 + 0.137065i
\(189\) −4.27894 + 1.25641i −0.311247 + 0.0913903i
\(190\) 1.19209 1.01981i 0.0864836 0.0739845i
\(191\) 4.85692 + 5.60518i 0.351434 + 0.405577i 0.903752 0.428057i \(-0.140802\pi\)
−0.552317 + 0.833634i \(0.686256\pi\)
\(192\) −2.56448 + 0.368717i −0.185075 + 0.0266098i
\(193\) −3.79451 + 12.9229i −0.273135 + 0.930212i 0.702660 + 0.711525i \(0.251995\pi\)
−0.975795 + 0.218686i \(0.929823\pi\)
\(194\) −7.76897 + 8.96587i −0.557779 + 0.643712i
\(195\) −22.5020 6.76229i −1.61140 0.484258i
\(196\) −0.979114 0.629238i −0.0699367 0.0449456i
\(197\) 1.13562 + 0.984024i 0.0809099 + 0.0701088i 0.694377 0.719612i \(-0.255680\pi\)
−0.613467 + 0.789720i \(0.710226\pi\)
\(198\) −1.56368 + 5.32542i −0.111126 + 0.378461i
\(199\) 0.172134 + 1.19722i 0.0122022 + 0.0848684i 0.995013 0.0997498i \(-0.0318042\pi\)
−0.982810 + 0.184618i \(0.940895\pi\)
\(200\) −1.46933 + 4.77923i −0.103897 + 0.337943i
\(201\) −3.52790 7.72503i −0.248839 0.544882i
\(202\) −5.39140 18.3614i −0.379338 1.29191i
\(203\) −13.4018 6.12042i −0.940625 0.429569i
\(204\) 2.27978 15.8562i 0.159616 1.11016i
\(205\) −7.51813 + 8.56614i −0.525089 + 0.598285i
\(206\) −4.97095 −0.346343
\(207\) −16.0469 + 7.71356i −1.11534 + 0.536129i
\(208\) 4.05573i 0.281214i
\(209\) 0.882370 0.567065i 0.0610348 0.0392247i
\(210\) −13.8654 + 1.90398i −0.956805 + 0.131387i
\(211\) −2.24700 + 4.92025i −0.154690 + 0.338724i −0.971071 0.238789i \(-0.923250\pi\)
0.816381 + 0.577513i \(0.195977\pi\)
\(212\) 1.49757 + 5.10026i 0.102854 + 0.350287i
\(213\) −26.6482 + 12.1698i −1.82590 + 0.833863i
\(214\) −11.4775 13.2458i −0.784588 0.905463i
\(215\) −10.2940 + 4.62252i −0.702043 + 0.315253i
\(216\) 1.77122 + 0.520079i 0.120517 + 0.0353869i
\(217\) −8.33717 7.22420i −0.565964 0.490410i
\(218\) −8.08487 + 12.5803i −0.547577 + 0.852046i
\(219\) 7.31279 + 4.69964i 0.494152 + 0.317572i
\(220\) −1.40795 + 3.03200i −0.0949237 + 0.204417i
\(221\) 24.0608 + 7.06489i 1.61851 + 0.475236i
\(222\) 14.5679 2.09455i 0.977732 0.140577i
\(223\) −4.15604 + 3.60123i −0.278309 + 0.241156i −0.782819 0.622250i \(-0.786219\pi\)
0.504510 + 0.863406i \(0.331673\pi\)
\(224\) −1.00356 2.19750i −0.0670533 0.146826i
\(225\) 12.3326 13.8735i 0.822175 0.924901i
\(226\) 7.89460 17.2868i 0.525141 1.14990i
\(227\) 2.10956 + 0.303310i 0.140017 + 0.0201314i 0.211967 0.977277i \(-0.432013\pi\)
−0.0719501 + 0.997408i \(0.522922\pi\)
\(228\) −0.982721 1.52914i −0.0650823 0.101270i
\(229\) −18.6710 −1.23381 −0.616906 0.787037i \(-0.711614\pi\)
−0.616906 + 0.787037i \(0.711614\pi\)
\(230\) −10.2482 + 3.15829i −0.675745 + 0.208252i
\(231\) −9.35728 −0.615664
\(232\) 3.29720 + 5.13055i 0.216472 + 0.336837i
\(233\) −12.0965 1.73922i −0.792469 0.113940i −0.265820 0.964023i \(-0.585643\pi\)
−0.526649 + 0.850083i \(0.676552\pi\)
\(234\) −6.25487 + 13.6963i −0.408894 + 0.895352i
\(235\) −5.41509 8.54457i −0.353242 0.557386i
\(236\) −6.11958 13.4000i −0.398351 0.872267i
\(237\) −4.60691 + 3.99191i −0.299251 + 0.259302i
\(238\) 14.7849 2.12575i 0.958364 0.137792i
\(239\) −0.676711 0.198700i −0.0437728 0.0128529i 0.259773 0.965670i \(-0.416352\pi\)
−0.303546 + 0.952817i \(0.598170\pi\)
\(240\) 5.25444 + 2.43996i 0.339172 + 0.157499i
\(241\) 7.17710 + 4.61244i 0.462318 + 0.297114i 0.750989 0.660315i \(-0.229577\pi\)
−0.288671 + 0.957428i \(0.593213\pi\)
\(242\) 4.73868 7.37354i 0.304614 0.473989i
\(243\) 16.6283 + 14.4085i 1.06670 + 0.924305i
\(244\) −13.8160 4.05674i −0.884479 0.259706i
\(245\) 1.06610 + 2.37412i 0.0681108 + 0.151677i
\(246\) 8.64794 + 9.98026i 0.551373 + 0.636318i
\(247\) 2.58829 1.18203i 0.164689 0.0752110i
\(248\) 1.28652 + 4.38147i 0.0816939 + 0.278224i
\(249\) −3.14457 + 6.88565i −0.199279 + 0.436360i
\(250\) 8.58714 7.15968i 0.543098 0.452818i
\(251\) 21.2403 13.6503i 1.34067 0.861599i 0.343681 0.939086i \(-0.388326\pi\)
0.996993 + 0.0774875i \(0.0246898\pi\)
\(252\) 8.96870i 0.564975i
\(253\) −7.07539 + 1.15983i −0.444826 + 0.0729181i
\(254\) −13.2864 −0.833664
\(255\) −23.6282 + 26.9219i −1.47966 + 1.68592i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 5.11793 + 2.33728i 0.319247 + 0.145795i 0.568593 0.822619i \(-0.307488\pi\)
−0.249345 + 0.968415i \(0.580215\pi\)
\(258\) 3.68355 + 12.5450i 0.229328 + 0.781018i
\(259\) 5.70088 + 12.4832i 0.354235 + 0.775667i
\(260\) −4.95124 + 7.59802i −0.307063 + 0.471209i
\(261\) −3.22221 22.4110i −0.199450 1.38721i
\(262\) −3.92098 + 13.3536i −0.242239 + 0.824990i
\(263\) −16.8925 14.6374i −1.04163 0.902581i −0.0462863 0.998928i \(-0.514739\pi\)
−0.995348 + 0.0963471i \(0.969284\pi\)
\(264\) 3.25847 + 2.09409i 0.200545 + 0.128883i
\(265\) 3.42084 11.3831i 0.210141 0.699257i
\(266\) 1.10992 1.28091i 0.0680533 0.0785377i
\(267\) 2.64310 9.00157i 0.161755 0.550887i
\(268\) −3.24451 + 0.466490i −0.198190 + 0.0284954i
\(269\) −1.26262 1.45714i −0.0769830 0.0888432i 0.715951 0.698150i \(-0.245993\pi\)
−0.792934 + 0.609307i \(0.791448\pi\)
\(270\) −2.68331 3.13663i −0.163301 0.190889i
\(271\) −1.10040 + 0.323107i −0.0668445 + 0.0196273i −0.314984 0.949097i \(-0.601999\pi\)
0.248139 + 0.968724i \(0.420181\pi\)
\(272\) −5.62426 2.56851i −0.341021 0.155739i
\(273\) −25.1264 3.61263i −1.52072 0.218646i
\(274\) 14.2298 9.14492i 0.859652 0.552465i
\(275\) 6.33911 3.96133i 0.382263 0.238877i
\(276\) 2.00999 + 12.2616i 0.120987 + 0.738064i
\(277\) 15.5372i 0.933538i −0.884379 0.466769i \(-0.845418\pi\)
0.884379 0.466769i \(-0.154582\pi\)
\(278\) 9.69744 + 15.0895i 0.581614 + 0.905009i
\(279\) 2.41266 16.7804i 0.144442 1.00462i
\(280\) −0.802626 + 5.34195i −0.0479661 + 0.319242i
\(281\) −3.71420 + 1.09059i −0.221570 + 0.0650589i −0.390633 0.920546i \(-0.627744\pi\)
0.169063 + 0.985605i \(0.445926\pi\)
\(282\) −10.6618 + 4.86908i −0.634901 + 0.289950i
\(283\) 15.8360 13.7220i 0.941354 0.815688i −0.0416763 0.999131i \(-0.513270\pi\)
0.983030 + 0.183443i \(0.0587244\pi\)
\(284\) 1.60920 + 11.1922i 0.0954884 + 0.664137i
\(285\) −0.0257460 + 4.06441i −0.00152506 + 0.240755i
\(286\) −3.97066 + 4.58238i −0.234790 + 0.270962i
\(287\) −6.65722 + 10.3588i −0.392963 + 0.611462i
\(288\) 2.00713 3.12316i 0.118271 0.184034i
\(289\) 13.9024 16.0443i 0.817790 0.943780i
\(290\) 0.0863824 13.6368i 0.00507255 0.800781i
\(291\) −4.37428 30.4238i −0.256425 1.78348i
\(292\) 2.53566 2.19716i 0.148388 0.128579i
\(293\) 5.42971 2.47966i 0.317207 0.144864i −0.250448 0.968130i \(-0.580578\pi\)
0.567655 + 0.823266i \(0.307851\pi\)
\(294\) 2.89328 0.849544i 0.168740 0.0495464i
\(295\) −4.89430 + 32.5745i −0.284957 + 1.89656i
\(296\) 0.808439 5.62282i 0.0469896 0.326820i
\(297\) −1.49206 2.32169i −0.0865779 0.134718i
\(298\) 15.8674i 0.919175i
\(299\) −19.4468 + 0.382764i −1.12464 + 0.0221358i
\(300\) −6.86498 10.9857i −0.396350 0.634258i
\(301\) −10.2559 + 6.59110i −0.591143 + 0.379905i
\(302\) 10.6769 + 1.53511i 0.614388 + 0.0883357i
\(303\) 45.0996 + 20.5963i 2.59090 + 1.18323i
\(304\) −0.673164 + 0.197659i −0.0386086 + 0.0113365i
\(305\) 20.9305 + 24.4665i 1.19848 + 1.40095i
\(306\) 15.0320 + 17.3478i 0.859321 + 0.991709i
\(307\) −13.6163 + 1.95773i −0.777123 + 0.111733i −0.519452 0.854499i \(-0.673864\pi\)
−0.257671 + 0.966233i \(0.582955\pi\)
\(308\) −1.01752 + 3.46536i −0.0579787 + 0.197457i
\(309\) 8.43395 9.73329i 0.479790 0.553708i
\(310\) 2.93874 9.77885i 0.166909 0.555401i
\(311\) 23.6829 + 15.2201i 1.34293 + 0.863050i 0.997163 0.0752698i \(-0.0239818\pi\)
0.345769 + 0.938320i \(0.387618\pi\)
\(312\) 7.94125 + 6.88114i 0.449585 + 0.389568i
\(313\) 0.813212 2.76955i 0.0459655 0.156544i −0.933312 0.359066i \(-0.883095\pi\)
0.979278 + 0.202522i \(0.0649136\pi\)
\(314\) 0.435937 + 3.03201i 0.0246013 + 0.171106i
\(315\) 10.9490 16.8020i 0.616906 0.946686i
\(316\) 0.977398 + 2.14020i 0.0549829 + 0.120396i
\(317\) 4.75833 + 16.2054i 0.267254 + 0.910185i 0.978327 + 0.207066i \(0.0663916\pi\)
−0.711073 + 0.703119i \(0.751790\pi\)
\(318\) −12.5273 5.72104i −0.702497 0.320820i
\(319\) 1.29757 9.02482i 0.0726501 0.505293i
\(320\) 1.47499 1.68060i 0.0824543 0.0939483i
\(321\) 45.4090 2.53448
\(322\) −10.4421 + 5.01938i −0.581914 + 0.279719i
\(323\) 4.33789i 0.241367i
\(324\) 5.34601 3.43567i 0.297000 0.190871i
\(325\) 18.5513 8.18969i 1.02904 0.454282i
\(326\) −1.22348 + 2.67905i −0.0677623 + 0.148379i
\(327\) −10.9155 37.1748i −0.603629 2.05577i
\(328\) 4.63647 2.11740i 0.256006 0.116914i
\(329\) −7.15704 8.25967i −0.394581 0.455370i
\(330\) −3.54797 7.90103i −0.195309 0.434937i
\(331\) −22.3968 6.57628i −1.23104 0.361465i −0.399396 0.916778i \(-0.630780\pi\)
−0.831641 + 0.555313i \(0.812598\pi\)
\(332\) 2.20808 + 1.91331i 0.121184 + 0.105007i
\(333\) −11.4018 + 17.7415i −0.624815 + 0.972231i
\(334\) 13.0028 + 8.35642i 0.711484 + 0.457243i
\(335\) 6.64777 + 3.08698i 0.363207 + 0.168660i
\(336\) 6.00546 + 1.76336i 0.327625 + 0.0961993i
\(337\) −10.5303 + 1.51402i −0.573620 + 0.0824741i −0.423020 0.906121i \(-0.639030\pi\)
−0.150601 + 0.988595i \(0.548121\pi\)
\(338\) −2.60652 + 2.25857i −0.141776 + 0.122850i
\(339\) 20.4537 + 44.7874i 1.11089 + 2.43252i
\(340\) 7.40087 + 11.6780i 0.401369 + 0.633327i
\(341\) 2.83599 6.20996i 0.153578 0.336288i
\(342\) 2.57812 + 0.370678i 0.139409 + 0.0200440i
\(343\) 10.6627 + 16.5915i 0.575732 + 0.895857i
\(344\) 5.04646 0.272087
\(345\) 11.2035 25.4248i 0.603176 1.36882i
\(346\) −12.9575 −0.696598
\(347\) 7.02594 + 10.9326i 0.377172 + 0.586892i 0.977000 0.213237i \(-0.0684007\pi\)
−0.599828 + 0.800129i \(0.704764\pi\)
\(348\) −15.6400 2.24869i −0.838390 0.120542i
\(349\) 2.69252 5.89579i 0.144127 0.315594i −0.823777 0.566914i \(-0.808137\pi\)
0.967904 + 0.251320i \(0.0808645\pi\)
\(350\) 8.02510 9.02779i 0.428960 0.482555i
\(351\) −3.11016 6.81030i −0.166008 0.363507i
\(352\) 1.12985 0.979025i 0.0602215 0.0521822i
\(353\) 17.7999 2.55923i 0.947391 0.136214i 0.348736 0.937221i \(-0.386611\pi\)
0.598655 + 0.801007i \(0.295702\pi\)
\(354\) 36.6205 + 10.7527i 1.94636 + 0.571502i
\(355\) 10.6488 22.9321i 0.565180 1.21711i
\(356\) −3.04622 1.95768i −0.161449 0.103757i
\(357\) −20.9225 + 32.5560i −1.10734 + 1.72305i
\(358\) −8.38931 7.26938i −0.443389 0.384198i
\(359\) −20.4195 5.99571i −1.07770 0.316441i −0.305742 0.952114i \(-0.598905\pi\)
−0.771959 + 0.635673i \(0.780723\pi\)
\(360\) −7.57293 + 3.40063i −0.399128 + 0.179229i
\(361\) 12.1200 + 13.9872i 0.637896 + 0.736171i
\(362\) 4.58078 2.09197i 0.240760 0.109952i
\(363\) 6.39777 + 21.7888i 0.335796 + 1.14361i
\(364\) −4.07018 + 8.91244i −0.213335 + 0.467139i
\(365\) −7.43262 + 1.02064i −0.389041 + 0.0534226i
\(366\) 31.3841 20.1693i 1.64047 1.05427i
\(367\) 12.7296i 0.664479i −0.943195 0.332239i \(-0.892196\pi\)
0.943195 0.332239i \(-0.107804\pi\)
\(368\) 4.75953 + 0.588970i 0.248108 + 0.0307022i
\(369\) −18.9230 −0.985090
\(370\) −8.37888 + 9.54687i −0.435597 + 0.496318i
\(371\) 1.82752 12.7107i 0.0948802 0.659906i
\(372\) −10.7618 4.91477i −0.557975 0.254819i
\(373\) 6.44841 + 21.9613i 0.333886 + 1.13711i 0.939841 + 0.341612i \(0.110973\pi\)
−0.605955 + 0.795499i \(0.707209\pi\)
\(374\) 3.83996 + 8.40834i 0.198560 + 0.434785i
\(375\) −0.550426 + 28.9614i −0.0284239 + 1.49556i
\(376\) 0.643832 + 4.47795i 0.0332031 + 0.230933i
\(377\) 6.96855 23.7327i 0.358899 1.22230i
\(378\) −3.37033 2.92041i −0.173351 0.150209i
\(379\) −17.2762 11.1027i −0.887417 0.570308i 0.0156170 0.999878i \(-0.495029\pi\)
−0.903034 + 0.429570i \(0.858665\pi\)
\(380\) 1.50241 + 0.451504i 0.0770720 + 0.0231617i
\(381\) 22.5423 26.0152i 1.15488 1.33280i
\(382\) −2.08953 + 7.11629i −0.106910 + 0.364101i
\(383\) 10.6314 1.52857i 0.543240 0.0781062i 0.134769 0.990877i \(-0.456971\pi\)
0.408472 + 0.912771i \(0.366062\pi\)
\(384\) −1.69665 1.95803i −0.0865816 0.0999205i
\(385\) 6.13675 5.24984i 0.312758 0.267556i
\(386\) −12.9229 + 3.79451i −0.657759 + 0.193135i
\(387\) −17.0420 7.78280i −0.866292 0.395622i
\(388\) −11.7428 1.68836i −0.596150 0.0857134i
\(389\) −11.6149 + 7.46445i −0.588900 + 0.378463i −0.800892 0.598808i \(-0.795641\pi\)
0.211993 + 0.977271i \(0.432005\pi\)
\(390\) −6.47668 22.5858i −0.327960 1.14368i
\(391\) −11.7850 + 27.2102i −0.595992 + 1.37608i
\(392\) 1.16388i 0.0587846i
\(393\) −19.4943 30.3338i −0.983359 1.53014i
\(394\) −0.213849 + 1.48735i −0.0107736 + 0.0749317i
\(395\) 0.781700 5.20267i 0.0393316 0.261775i
\(396\) −5.32542 + 1.56368i −0.267612 + 0.0785781i
\(397\) −28.8570 + 13.1786i −1.44829 + 0.661413i −0.975548 0.219787i \(-0.929464\pi\)
−0.472744 + 0.881200i \(0.656737\pi\)
\(398\) −0.914100 + 0.792072i −0.0458197 + 0.0397030i
\(399\) 0.624934 + 4.34651i 0.0312858 + 0.217598i
\(400\) −4.81493 + 1.34777i −0.240746 + 0.0673887i
\(401\) −8.35448 + 9.64158i −0.417203 + 0.481478i −0.924983 0.380009i \(-0.875921\pi\)
0.507780 + 0.861487i \(0.330466\pi\)
\(402\) 4.59138 7.14433i 0.228997 0.356327i
\(403\) 10.0128 15.5802i 0.498774 0.776107i
\(404\) 12.5318 14.4625i 0.623480 0.719535i
\(405\) −14.2095 0.0900101i −0.706076 0.00447264i
\(406\) −2.09676 14.5833i −0.104061 0.723757i
\(407\) −6.41830 + 5.56149i −0.318143 + 0.275673i
\(408\) 14.5716 6.65464i 0.721403 0.329454i
\(409\) −10.7737 + 3.16344i −0.532725 + 0.156422i −0.537021 0.843569i \(-0.680451\pi\)
0.00429653 + 0.999991i \(0.498632\pi\)
\(410\) −11.2709 1.69345i −0.556631 0.0836335i
\(411\) −6.23682 + 43.3781i −0.307640 + 2.13968i
\(412\) −2.68750 4.18183i −0.132404 0.206024i
\(413\) 35.5879i 1.75116i
\(414\) −15.1647 9.32926i −0.745303 0.458508i
\(415\) −1.80085 6.28003i −0.0884004 0.308275i
\(416\) 3.41190 2.19269i 0.167282 0.107506i
\(417\) −45.9989 6.61364i −2.25258 0.323872i
\(418\) 0.954090 + 0.435719i 0.0466661 + 0.0213117i
\(419\) 11.9348 3.50437i 0.583053 0.171200i 0.0231127 0.999733i \(-0.492642\pi\)
0.559940 + 0.828533i \(0.310824\pi\)
\(420\) −9.09795 10.6350i −0.443934 0.518933i
\(421\) −5.76463 6.65273i −0.280951 0.324234i 0.597681 0.801734i \(-0.296089\pi\)
−0.878632 + 0.477499i \(0.841543\pi\)
\(422\) −5.35400 + 0.769790i −0.260629 + 0.0374728i
\(423\) 4.73181 16.1151i 0.230068 0.783541i
\(424\) −3.48096 + 4.01724i −0.169050 + 0.195095i
\(425\) 0.391647 30.9126i 0.0189977 1.49948i
\(426\) −24.6450 15.8384i −1.19405 0.767372i
\(427\) 26.2894 + 22.7799i 1.27223 + 1.10240i
\(428\) 4.93784 16.8167i 0.238679 0.812867i
\(429\) −2.23566 15.5494i −0.107939 0.750731i
\(430\) −9.45406 6.16072i −0.455915 0.297096i
\(431\) 11.4845 + 25.1475i 0.553188 + 1.21131i 0.955277 + 0.295713i \(0.0955571\pi\)
−0.402089 + 0.915601i \(0.631716\pi\)
\(432\) 0.520079 + 1.77122i 0.0250223 + 0.0852181i
\(433\) 9.46083 + 4.32062i 0.454659 + 0.207636i 0.629562 0.776950i \(-0.283234\pi\)
−0.174904 + 0.984586i \(0.555961\pi\)
\(434\) 1.56997 10.9194i 0.0753609 0.524146i
\(435\) 26.5548 + 23.3060i 1.27320 + 1.11744i
\(436\) −14.9542 −0.716178
\(437\) 1.01129 + 3.20910i 0.0483763 + 0.153512i
\(438\) 8.69273i 0.415354i
\(439\) 8.17338 5.25271i 0.390094 0.250698i −0.330862 0.943679i \(-0.607339\pi\)
0.720956 + 0.692981i \(0.243703\pi\)
\(440\) −3.31187 + 0.454782i −0.157887 + 0.0216809i
\(441\) −1.79496 + 3.93043i −0.0854745 + 0.187163i
\(442\) 7.06489 + 24.0608i 0.336043 + 1.14446i
\(443\) 8.65078 3.95068i 0.411011 0.187702i −0.199169 0.979965i \(-0.563824\pi\)
0.610180 + 0.792263i \(0.291097\pi\)
\(444\) 9.63804 + 11.1229i 0.457401 + 0.527869i
\(445\) 3.31685 + 7.38636i 0.157234 + 0.350147i
\(446\) −5.27647 1.54931i −0.249848 0.0733620i
\(447\) 31.0690 + 26.9214i 1.46951 + 1.27334i
\(448\) 1.30608 2.03231i 0.0617067 0.0960175i
\(449\) 13.4491 + 8.64324i 0.634704 + 0.407900i 0.818049 0.575149i \(-0.195056\pi\)
−0.183344 + 0.983049i \(0.558692\pi\)
\(450\) 18.3387 + 2.87428i 0.864493 + 0.135495i
\(451\) −7.31153 2.14686i −0.344286 0.101092i
\(452\) 18.8107 2.70457i 0.884781 0.127212i
\(453\) −21.1208 + 18.3013i −0.992341 + 0.859868i
\(454\) 0.885356 + 1.93866i 0.0415518 + 0.0909858i
\(455\) 18.5054 11.7277i 0.867547 0.549805i
\(456\) 0.755099 1.65344i 0.0353607 0.0774292i
\(457\) −0.0670682 0.00964295i −0.00313732 0.000451078i 0.140746 0.990046i \(-0.455050\pi\)
−0.143883 + 0.989595i \(0.545959\pi\)
\(458\) −10.0943 15.7070i −0.471675 0.733940i
\(459\) −11.4138 −0.532752
\(460\) −8.19751 6.91382i −0.382211 0.322358i
\(461\) −10.2698 −0.478315 −0.239157 0.970981i \(-0.576871\pi\)
−0.239157 + 0.970981i \(0.576871\pi\)
\(462\) −5.05893 7.87184i −0.235363 0.366231i
\(463\) 31.4603 + 4.52330i 1.46208 + 0.210216i 0.826988 0.562219i \(-0.190052\pi\)
0.635094 + 0.772435i \(0.280961\pi\)
\(464\) −2.53349 + 5.54757i −0.117614 + 0.257539i
\(465\) 14.1613 + 22.3454i 0.656716 + 1.03624i
\(466\) −5.07675 11.1165i −0.235176 0.514963i
\(467\) −3.00482 + 2.60369i −0.139046 + 0.120484i −0.721607 0.692303i \(-0.756596\pi\)
0.582561 + 0.812787i \(0.302051\pi\)
\(468\) −14.9037 + 2.14282i −0.688922 + 0.0990520i
\(469\) 7.59795 + 2.23096i 0.350841 + 0.103016i
\(470\) 4.26053 9.17501i 0.196524 0.423211i
\(471\) −6.67640 4.29066i −0.307633 0.197703i
\(472\) 7.96432 12.3927i 0.366587 0.570421i
\(473\) −5.70176 4.94061i −0.262167 0.227169i
\(474\) −5.84889 1.71739i −0.268648 0.0788823i
\(475\) −2.26343 2.67999i −0.103853 0.122967i
\(476\) 9.78163 + 11.2886i 0.448340 + 0.517412i
\(477\) 17.9508 8.19785i 0.821910 0.375354i
\(478\) −0.198700 0.676711i −0.00908834 0.0309521i
\(479\) −1.46663 + 3.21147i −0.0670120 + 0.146736i −0.940174 0.340694i \(-0.889338\pi\)
0.873162 + 0.487429i \(0.162065\pi\)
\(480\) 0.788135 + 5.73946i 0.0359733 + 0.261969i
\(481\) −19.3817 + 12.4559i −0.883732 + 0.567940i
\(482\) 8.53144i 0.388596i
\(483\) 7.88838 28.9620i 0.358934 1.31782i
\(484\) 8.76494 0.398406
\(485\) 19.9378 + 17.4986i 0.905331 + 0.794570i
\(486\) −3.13126 + 21.7784i −0.142037 + 0.987889i
\(487\) 3.53050 + 1.61232i 0.159982 + 0.0730614i 0.493797 0.869577i \(-0.335609\pi\)
−0.333815 + 0.942639i \(0.608336\pi\)
\(488\) −4.05674 13.8160i −0.183640 0.625421i
\(489\) −3.16986 6.94102i −0.143346 0.313884i
\(490\) −1.42086 + 2.18041i −0.0641879 + 0.0985009i
\(491\) −3.74182 26.0250i −0.168866 1.17449i −0.881233 0.472682i \(-0.843286\pi\)
0.712367 0.701807i \(-0.247623\pi\)
\(492\) −3.72050 + 12.6708i −0.167733 + 0.571246i
\(493\) −28.4980 24.6937i −1.28349 1.11215i
\(494\) 2.39373 + 1.53836i 0.107699 + 0.0692139i
\(495\) 11.8856 + 3.57186i 0.534219 + 0.160543i
\(496\) −2.99039 + 3.45109i −0.134272 + 0.154958i
\(497\) 7.69589 26.2098i 0.345208 1.17567i
\(498\) −7.49266 + 1.07728i −0.335754 + 0.0482741i
\(499\) 11.6560 + 13.4517i 0.521793 + 0.602181i 0.954079 0.299555i \(-0.0968383\pi\)
−0.432286 + 0.901737i \(0.642293\pi\)
\(500\) 10.6657 + 3.35314i 0.476983 + 0.149957i
\(501\) −38.4234 + 11.2821i −1.71663 + 0.504048i
\(502\) 22.9667 + 10.4885i 1.02505 + 0.468127i
\(503\) −12.5167 1.79963i −0.558094 0.0802417i −0.142504 0.989794i \(-0.545516\pi\)
−0.415589 + 0.909552i \(0.636425\pi\)
\(504\) −7.54495 + 4.84885i −0.336079 + 0.215985i
\(505\) −41.1329 + 11.7952i −1.83039 + 0.524880i
\(506\) −4.80096 5.32515i −0.213429 0.236732i
\(507\) 8.93565i 0.396846i
\(508\) −7.18318 11.1772i −0.318702 0.495910i
\(509\) 0.724478 5.03886i 0.0321119 0.223343i −0.967446 0.253078i \(-0.918557\pi\)
0.999558 + 0.0297345i \(0.00946618\pi\)
\(510\) −35.4225 5.32222i −1.56854 0.235672i
\(511\) −7.77710 + 2.28356i −0.344039 + 0.101019i
\(512\) −0.909632 + 0.415415i −0.0402004 + 0.0183589i
\(513\) −0.978788 + 0.848125i −0.0432146 + 0.0374456i
\(514\) 0.800716 + 5.56910i 0.0353181 + 0.245643i
\(515\) −0.0704090 + 11.1152i −0.00310259 + 0.489793i
\(516\) −8.56205 + 9.88114i −0.376923 + 0.434993i
\(517\) 3.65659 5.68976i 0.160817 0.250235i
\(518\) −7.41939 + 11.5448i −0.325989 + 0.507249i
\(519\) 21.9842 25.3712i 0.965001 1.11367i
\(520\) −9.06870 0.0574457i −0.397689 0.00251916i
\(521\) −0.479945 3.33809i −0.0210268 0.146244i 0.976603 0.215048i \(-0.0689909\pi\)
−0.997630 + 0.0688037i \(0.978082\pi\)
\(522\) 17.1113 14.8270i 0.748939 0.648960i
\(523\) −11.6173 + 5.30545i −0.507990 + 0.231991i −0.652887 0.757456i \(-0.726442\pi\)
0.144897 + 0.989447i \(0.453715\pi\)
\(524\) −13.3536 + 3.92098i −0.583356 + 0.171289i
\(525\) 4.06096 + 31.0304i 0.177235 + 1.35428i
\(526\) 3.18101 22.1244i 0.138699 0.964671i
\(527\) −15.2647 23.7523i −0.664939 1.03467i
\(528\) 3.87335i 0.168566i
\(529\) 2.37487 22.8771i 0.103255 0.994655i
\(530\) 11.4255 3.27636i 0.496292 0.142316i
\(531\) −46.0081 + 29.5676i −1.99658 + 1.28312i
\(532\) 1.67764 + 0.241208i 0.0727348 + 0.0104577i
\(533\) −18.8043 8.58761i −0.814502 0.371971i
\(534\) 9.00157 2.64310i 0.389536 0.114378i
\(535\) −29.7804 + 25.4764i −1.28752 + 1.10144i
\(536\) −2.14655 2.47725i −0.0927169 0.107001i
\(537\) 28.4674 4.09299i 1.22846 0.176626i
\(538\) 0.543199 1.84997i 0.0234190 0.0797577i
\(539\) −1.13946 + 1.31501i −0.0490801 + 0.0566415i
\(540\) 1.18800 3.95313i 0.0511232 0.170116i
\(541\) 11.6836 + 7.50856i 0.502315 + 0.322818i 0.767142 0.641478i \(-0.221678\pi\)
−0.264826 + 0.964296i \(0.585315\pi\)
\(542\) −0.866736 0.751031i −0.0372295 0.0322595i
\(543\) −3.67581 + 12.5187i −0.157744 + 0.537227i
\(544\) −0.879934 6.12007i −0.0377269 0.262396i
\(545\) 28.0153 + 18.2561i 1.20005 + 0.782008i
\(546\) −10.5452 23.0908i −0.451294 0.988195i
\(547\) −5.65506 19.2594i −0.241793 0.823471i −0.987557 0.157261i \(-0.949734\pi\)
0.745764 0.666210i \(-0.232085\pi\)
\(548\) 15.3864 + 7.02673i 0.657274 + 0.300167i
\(549\) −7.60778 + 52.9133i −0.324692 + 2.25828i
\(550\) 6.75967 + 3.19114i 0.288233 + 0.136071i
\(551\) −4.27874 −0.182280
\(552\) −9.22846 + 8.32005i −0.392789 + 0.354125i
\(553\) 5.68397i 0.241707i
\(554\) 13.0707 8.40003i 0.555321 0.356883i
\(555\) −4.47711 32.6038i −0.190043 1.38395i
\(556\) −7.45127 + 16.3160i −0.316004 + 0.691953i
\(557\) 10.4569 + 35.6128i 0.443071 + 1.50896i 0.814313 + 0.580425i \(0.197114\pi\)
−0.371242 + 0.928536i \(0.621068\pi\)
\(558\) 15.4210 7.04252i 0.652821 0.298133i
\(559\) −13.4031 15.4680i −0.566889 0.654225i
\(560\) −4.92787 + 2.21286i −0.208240 + 0.0935106i
\(561\) −22.9789 6.74721i −0.970169 0.284867i
\(562\) −2.92551 2.53496i −0.123405 0.106931i
\(563\) 10.5256 16.3781i 0.443601 0.690257i −0.545398 0.838177i \(-0.683622\pi\)
0.988999 + 0.147920i \(0.0472579\pi\)
\(564\) −9.86034 6.33685i −0.415195 0.266830i
\(565\) −38.5418 17.8974i −1.62147 0.752948i
\(566\) 20.1053 + 5.90344i 0.845088 + 0.248140i
\(567\) −15.1957 + 2.18482i −0.638161 + 0.0917537i
\(568\) −8.54550 + 7.40472i −0.358561 + 0.310695i
\(569\) −1.96027 4.29239i −0.0821787 0.179946i 0.864082 0.503351i \(-0.167900\pi\)
−0.946261 + 0.323405i \(0.895172\pi\)
\(570\) −3.43312 + 2.17573i −0.143798 + 0.0911312i
\(571\) 15.2898 33.4800i 0.639858 1.40109i −0.260299 0.965528i \(-0.583821\pi\)
0.900157 0.435566i \(-0.143452\pi\)
\(572\) −6.00165 0.862906i −0.250941 0.0360799i
\(573\) −10.3887 16.1652i −0.433996 0.675311i
\(574\) −12.3136 −0.513958
\(575\) 6.91686 + 22.9599i 0.288453 + 0.957494i
\(576\) 3.71251 0.154688
\(577\) −23.0160 35.8136i −0.958168 1.49094i −0.868934 0.494928i \(-0.835194\pi\)
−0.0892342 0.996011i \(-0.528442\pi\)
\(578\) 21.0135 + 3.02129i 0.874047 + 0.125669i
\(579\) 14.4958 31.7414i 0.602426 1.31913i
\(580\) 11.5187 7.29995i 0.478289 0.303114i
\(581\) −2.93212 6.42044i −0.121645 0.266365i
\(582\) 23.2292 20.1282i 0.962882 0.834342i
\(583\) 7.86596 1.13095i 0.325775 0.0468394i
\(584\) 3.21925 + 0.945259i 0.133214 + 0.0391151i
\(585\) 30.5365 + 14.1800i 1.26253 + 0.586272i
\(586\) 5.02155 + 3.22715i 0.207438 + 0.133312i
\(587\) 16.0681 25.0024i 0.663201 1.03196i −0.332833 0.942986i \(-0.608005\pi\)
0.996034 0.0889750i \(-0.0283591\pi\)
\(588\) 2.27891 + 1.97468i 0.0939806 + 0.0814346i
\(589\) −3.07397 0.902598i −0.126661 0.0371909i
\(590\) −30.0494 + 13.4937i −1.23712 + 0.555528i
\(591\) −2.54946 2.94223i −0.104871 0.121027i
\(592\) 5.16729 2.35982i 0.212374 0.0969881i
\(593\) 12.1010 + 41.2121i 0.496927 + 1.69238i 0.700781 + 0.713377i \(0.252835\pi\)
−0.203854 + 0.979001i \(0.565347\pi\)
\(594\) 1.14646 2.51040i 0.0470398 0.103003i
\(595\) −4.54381 33.0895i −0.186278 1.35654i
\(596\) 13.3485 8.57858i 0.546777 0.351392i
\(597\) 3.13371i 0.128254i
\(598\) −10.8357 16.1528i −0.443107 0.660536i
\(599\) −41.0730 −1.67820 −0.839099 0.543979i \(-0.816917\pi\)
−0.839099 + 0.543979i \(0.816917\pi\)
\(600\) 5.53024 11.7145i 0.225771 0.478242i
\(601\) 4.05076 28.1736i 0.165234 1.14923i −0.723340 0.690492i \(-0.757394\pi\)
0.888574 0.458734i \(-0.151697\pi\)
\(602\) −11.0896 5.06444i −0.451977 0.206411i
\(603\) 3.42844 + 11.6762i 0.139617 + 0.475492i
\(604\) 4.48097 + 9.81195i 0.182328 + 0.399243i
\(605\) −16.4203 10.7002i −0.667579 0.435027i
\(606\) 7.05598 + 49.0754i 0.286629 + 1.99355i
\(607\) 2.04027 6.94851i 0.0828119 0.282031i −0.907668 0.419689i \(-0.862139\pi\)
0.990480 + 0.137658i \(0.0439573\pi\)
\(608\) −0.530221 0.459439i −0.0215033 0.0186327i
\(609\) 32.1121 + 20.6372i 1.30125 + 0.836260i
\(610\) −9.26667 + 30.8354i −0.375196 + 1.24849i
\(611\) 12.0155 13.8666i 0.486093 0.560982i
\(612\) −6.46702 + 22.0247i −0.261414 + 0.890294i
\(613\) 26.7135 3.84083i 1.07895 0.155130i 0.420155 0.907452i \(-0.361976\pi\)
0.658795 + 0.752323i \(0.271067\pi\)
\(614\) −9.00847 10.3963i −0.363552 0.419562i
\(615\) 22.4386 19.1956i 0.904811 0.774043i
\(616\) −3.46536 + 1.01752i −0.139623 + 0.0409972i
\(617\) 14.4775 + 6.61165i 0.582842 + 0.266175i 0.684940 0.728599i \(-0.259828\pi\)
−0.102098 + 0.994774i \(0.532556\pi\)
\(618\) 12.7479 + 1.83287i 0.512796 + 0.0737289i
\(619\) −11.6323 + 7.47565i −0.467543 + 0.300472i −0.753119 0.657884i \(-0.771452\pi\)
0.285576 + 0.958356i \(0.407815\pi\)
\(620\) 9.81530 2.81462i 0.394192 0.113038i
\(621\) 8.44377 2.66089i 0.338837 0.106778i
\(622\) 28.1519i 1.12879i
\(623\) 4.72939 + 7.35907i 0.189479 + 0.294835i
\(624\) −1.49541 + 10.4008i −0.0598645 + 0.416366i
\(625\) −15.8876 19.3024i −0.635504 0.772098i
\(626\) 2.76955 0.813212i 0.110693 0.0325025i
\(627\) −2.47191 + 1.12888i −0.0987184 + 0.0450832i
\(628\) −2.31500 + 2.00596i −0.0923786 + 0.0800465i
\(629\) 4.99859 + 34.7659i 0.199307 + 1.38621i
\(630\) 20.0542 + 0.127033i 0.798980 + 0.00506114i
\(631\) −23.8670 + 27.5440i −0.950131 + 1.09651i 0.0451017 + 0.998982i \(0.485639\pi\)
−0.995233 + 0.0975273i \(0.968907\pi\)
\(632\) −1.27203 + 1.97932i −0.0505987 + 0.0787331i
\(633\) 7.57658 11.7894i 0.301142 0.468586i
\(634\) −11.0603 + 12.7643i −0.439260 + 0.506933i
\(635\) −0.188190 + 29.7087i −0.00746809 + 1.17895i
\(636\) −1.95994 13.6317i −0.0777167 0.540531i
\(637\) −3.56741 + 3.09118i −0.141346 + 0.122477i
\(638\) 8.29368 3.78760i 0.328350 0.149952i
\(639\) 40.2781 11.8267i 1.59338 0.467858i
\(640\) 2.21125 + 0.332239i 0.0874072 + 0.0131329i
\(641\) 0.564030 3.92292i 0.0222779 0.154946i −0.975646 0.219351i \(-0.929606\pi\)
0.997924 + 0.0644053i \(0.0205150\pi\)
\(642\) 24.5500 + 38.2005i 0.968910 + 1.50765i
\(643\) 24.8411i 0.979637i 0.871824 + 0.489818i \(0.162937\pi\)
−0.871824 + 0.489818i \(0.837063\pi\)
\(644\) −9.86797 6.07074i −0.388853 0.239221i
\(645\) 28.1031 8.05880i 1.10656 0.317315i
\(646\) 3.64927 2.34524i 0.143579 0.0922723i
\(647\) −25.4353 3.65704i −0.999963 0.143773i −0.377157 0.926149i \(-0.623098\pi\)
−0.622806 + 0.782376i \(0.714007\pi\)
\(648\) 5.78054 + 2.63988i 0.227081 + 0.103704i
\(649\) −21.1313 + 6.20471i −0.829476 + 0.243556i
\(650\) 16.9192 + 11.1787i 0.663626 + 0.438465i
\(651\) 18.7168 + 21.6004i 0.733570 + 0.846585i
\(652\) −2.91522 + 0.419146i −0.114169 + 0.0164150i
\(653\) 12.7330 43.3646i 0.498280 1.69699i −0.198839 0.980032i \(-0.563717\pi\)
0.697120 0.716955i \(-0.254465\pi\)
\(654\) 25.3721 29.2809i 0.992126 1.14497i
\(655\) 29.8035 + 8.95654i 1.16452 + 0.349961i
\(656\) 4.28794 + 2.75569i 0.167416 + 0.107592i
\(657\) −9.41367 8.15699i −0.367262 0.318234i
\(658\) 3.07909 10.4864i 0.120035 0.408803i
\(659\) −1.30081 9.04735i −0.0506724 0.352435i −0.999345 0.0361759i \(-0.988482\pi\)
0.948673 0.316259i \(-0.102427\pi\)
\(660\) 4.72859 7.25636i 0.184060 0.282453i
\(661\) −14.8571 32.5326i −0.577875 1.26537i −0.942497 0.334214i \(-0.891529\pi\)
0.364622 0.931156i \(-0.381198\pi\)
\(662\) −6.57628 22.3968i −0.255595 0.870475i
\(663\) −59.0985 26.9894i −2.29520 1.04818i
\(664\) −0.415802 + 2.89197i −0.0161363 + 0.112230i
\(665\) −2.84843 2.49994i −0.110457 0.0969436i
\(666\) −21.0894 −0.817198
\(667\) 26.8391 + 11.6243i 1.03922 + 0.450094i
\(668\) 15.4565i 0.598030i
\(669\) 11.9859 7.70287i 0.463402 0.297810i
\(670\) 0.997127 + 7.26141i 0.0385224 + 0.280533i
\(671\) −8.94268 + 19.5817i −0.345228 + 0.755944i
\(672\) 1.76336 + 6.00546i 0.0680232 + 0.231666i
\(673\) −8.30660 + 3.79350i −0.320196 + 0.146229i −0.569028 0.822318i \(-0.692680\pi\)
0.248832 + 0.968547i \(0.419953\pi\)
\(674\) −6.96677 8.04008i −0.268350 0.309692i
\(675\) −7.05159 + 5.95551i −0.271416 + 0.229228i
\(676\) −3.30922 0.971675i −0.127278 0.0373721i
\(677\) 10.2257 + 8.86062i 0.393006 + 0.340541i 0.828840 0.559485i \(-0.189001\pi\)
−0.435834 + 0.900027i \(0.643547\pi\)
\(678\) −26.6195 + 41.4207i −1.02231 + 1.59075i
\(679\) 24.1103 + 15.4948i 0.925270 + 0.594635i
\(680\) −5.82292 + 12.5396i −0.223299 + 0.480872i
\(681\) −5.29810 1.55566i −0.203024 0.0596131i
\(682\) 6.75740 0.971568i 0.258754 0.0372033i
\(683\) −0.226706 + 0.196442i −0.00867466 + 0.00751664i −0.659187 0.751979i \(-0.729100\pi\)
0.650513 + 0.759495i \(0.274554\pi\)
\(684\) 1.08200 + 2.36926i 0.0413714 + 0.0905908i
\(685\) −20.2467 31.9476i −0.773586 1.22066i
\(686\) −8.19296 + 17.9401i −0.312809 + 0.684955i
\(687\) 47.8813 + 6.88429i 1.82678 + 0.262652i
\(688\) 2.72832 + 4.24535i 0.104016 + 0.161852i
\(689\) 21.5585 0.821314
\(690\) 27.4458 4.32070i 1.04484 0.164486i
\(691\) 0.587233 0.0223394 0.0111697 0.999938i \(-0.496445\pi\)
0.0111697 + 0.999938i \(0.496445\pi\)
\(692\) −7.00534 10.9005i −0.266303 0.414375i
\(693\) 13.2718 + 1.90820i 0.504156 + 0.0724866i
\(694\) −5.39856 + 11.8212i −0.204927 + 0.448727i
\(695\) 33.8779 21.4700i 1.28506 0.814402i
\(696\) −6.56389 14.3729i −0.248804 0.544804i
\(697\) −23.8177 + 20.6381i −0.902159 + 0.781725i
\(698\) 6.41553 0.922415i 0.242832 0.0349139i
\(699\) 30.3800 + 8.92037i 1.14908 + 0.337399i
\(700\) 11.9334 + 1.87035i 0.451038 + 0.0706927i
\(701\) 38.7268 + 24.8882i 1.46269 + 0.940016i 0.998526 + 0.0542674i \(0.0172823\pi\)
0.464166 + 0.885748i \(0.346354\pi\)
\(702\) 4.04771 6.29836i 0.152771 0.237716i
\(703\) 3.01199 + 2.60991i 0.113600 + 0.0984345i
\(704\) 1.43445 + 0.421194i 0.0540630 + 0.0158743i
\(705\) 10.7364 + 23.9090i 0.404355 + 0.900465i
\(706\) 11.7763 + 13.5906i 0.443207 + 0.511488i
\(707\) −42.0526 + 19.2048i −1.58155 + 0.722270i
\(708\) 10.7527 + 36.6205i 0.404113 + 1.37628i
\(709\) 20.8063 45.5594i 0.781396 1.71102i 0.0816110 0.996664i \(-0.473993\pi\)
0.699785 0.714354i \(-0.253279\pi\)
\(710\) 25.0489 3.43968i 0.940068 0.129089i
\(711\) 7.34824 4.72243i 0.275581 0.177105i
\(712\) 3.62104i 0.135704i
\(713\) 16.8299 + 14.0129i 0.630283 + 0.524788i
\(714\) −38.6994 −1.44829
\(715\) 10.1901 + 8.94339i 0.381087 + 0.334464i
\(716\) 1.57979 10.9877i 0.0590394 0.410628i
\(717\) 1.66215 + 0.759078i 0.0620741 + 0.0283483i
\(718\) −5.99571 20.4195i −0.223758 0.762049i
\(719\) 12.7313 + 27.8776i 0.474797 + 1.03966i 0.983862 + 0.178931i \(0.0572640\pi\)
−0.509065 + 0.860728i \(0.670009\pi\)
\(720\) −6.95503 4.53223i −0.259199 0.168906i
\(721\) 1.70904 + 11.8866i 0.0636479 + 0.442681i
\(722\) −5.21424 + 17.7581i −0.194054 + 0.660888i
\(723\) −16.7048 14.4748i −0.621260 0.538325i
\(724\) 4.23644 + 2.72259i 0.157446 + 0.101184i
\(725\) −30.4910 0.386306i −1.13241 0.0143470i
\(726\) −14.8710 + 17.1620i −0.551915 + 0.636943i
\(727\) 2.77362 9.44608i 0.102868 0.350336i −0.891934 0.452166i \(-0.850652\pi\)
0.994802 + 0.101830i \(0.0324698\pi\)
\(728\) −9.69813 + 1.39438i −0.359437 + 0.0516792i
\(729\) −24.8457 28.6735i −0.920211 1.06198i
\(730\) −4.87699 5.70092i −0.180506 0.211001i
\(731\) −29.9384 + 8.79070i −1.10731 + 0.325136i
\(732\) 33.9351 + 15.4976i 1.25428 + 0.572809i
\(733\) 29.2600 + 4.20696i 1.08074 + 0.155388i 0.659608 0.751610i \(-0.270722\pi\)
0.421136 + 0.906997i \(0.361631\pi\)
\(734\) 10.7088 6.88213i 0.395269 0.254024i
\(735\) −1.85862 6.48148i −0.0685562 0.239073i
\(736\) 2.07772 + 4.32239i 0.0765859 + 0.159325i
\(737\) 4.90046i 0.180511i
\(738\) −10.2305 15.9190i −0.376591 0.585986i
\(739\) 2.37446 16.5148i 0.0873460 0.607505i −0.898389 0.439201i \(-0.855262\pi\)
0.985735 0.168304i \(-0.0538292\pi\)
\(740\) −12.5613 1.88733i −0.461763 0.0693797i
\(741\) −7.07346 + 2.07696i −0.259850 + 0.0762989i
\(742\) 11.6810 5.33451i 0.428821 0.195836i
\(743\) 2.29186 1.98591i 0.0840803 0.0728560i −0.611807 0.791007i \(-0.709557\pi\)
0.695887 + 0.718151i \(0.255011\pi\)
\(744\) −1.68372 11.7106i −0.0617283 0.429330i
\(745\) −35.4799 0.224748i −1.29988 0.00823411i
\(746\) −14.9887 + 17.2979i −0.548776 + 0.633321i
\(747\) 5.86425 9.12496i 0.214562 0.333865i
\(748\) −4.99751 + 7.77627i −0.182727 + 0.284329i
\(749\) −27.7275 + 31.9993i −1.01314 + 1.16923i
\(750\) −24.6614 + 15.1946i −0.900508 + 0.554830i
\(751\) 5.44047 + 37.8393i 0.198526 + 1.38078i 0.808566 + 0.588406i \(0.200244\pi\)
−0.610040 + 0.792371i \(0.708847\pi\)
\(752\) −3.41901 + 2.96259i −0.124678 + 0.108035i
\(753\) −59.5033 + 27.1743i −2.16842 + 0.990285i
\(754\) 23.7327 6.96855i 0.864294 0.253780i
\(755\) 3.58377 23.8521i 0.130427 0.868068i
\(756\) 0.634665 4.41419i 0.0230825 0.160543i
\(757\) −4.34433 6.75990i −0.157897 0.245693i 0.753287 0.657692i \(-0.228467\pi\)
−0.911184 + 0.411999i \(0.864831\pi\)
\(758\) 20.5362i 0.745909i
\(759\) 18.5724 0.365552i 0.674134 0.0132687i
\(760\) 0.432435 + 1.50801i 0.0156861 + 0.0547013i
\(761\) 36.9682 23.7580i 1.34010 0.861228i 0.343147 0.939282i \(-0.388507\pi\)
0.996949 + 0.0780539i \(0.0248706\pi\)
\(762\) 34.0727 + 4.89892i 1.23432 + 0.177469i
\(763\) 32.8619 + 15.0075i 1.18968 + 0.543309i
\(764\) −7.11629 + 2.08953i −0.257458 + 0.0755966i
\(765\) 39.0031 33.3661i 1.41016 1.20636i
\(766\) 7.03369 + 8.11732i 0.254138 + 0.293291i
\(767\) −59.1378 + 8.50274i −2.13534 + 0.307016i
\(768\) 0.729927 2.48590i 0.0263390 0.0897023i
\(769\) 10.6393 12.2784i 0.383663 0.442771i −0.530765 0.847519i \(-0.678095\pi\)
0.914428 + 0.404748i \(0.132641\pi\)
\(770\) 7.73422 + 2.32429i 0.278722 + 0.0837615i
\(771\) −12.2630 7.88097i −0.441642 0.283826i
\(772\) −10.1788 8.81998i −0.366343 0.317438i
\(773\)