Properties

Label 804.2.bd.a.23.14
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.14
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33646 - 0.462455i) q^{2} +(0.536519 - 1.64686i) q^{3} +(1.57227 + 1.23611i) q^{4} +(-3.31157 + 1.51234i) q^{5} +(-1.47864 + 1.95285i) q^{6} +(0.404012 + 0.423716i) q^{7} +(-1.52964 - 2.37912i) q^{8} +(-2.42429 - 1.76714i) q^{9} +O(q^{10})\) \(q+(-1.33646 - 0.462455i) q^{2} +(0.536519 - 1.64686i) q^{3} +(1.57227 + 1.23611i) q^{4} +(-3.31157 + 1.51234i) q^{5} +(-1.47864 + 1.95285i) q^{6} +(0.404012 + 0.423716i) q^{7} +(-1.52964 - 2.37912i) q^{8} +(-2.42429 - 1.76714i) q^{9} +(5.12518 - 0.489740i) q^{10} +(3.94776 + 0.376965i) q^{11} +(2.87925 - 1.92611i) q^{12} +(1.58394 + 0.305280i) q^{13} +(-0.343998 - 0.753118i) q^{14} +(0.713897 + 6.26509i) q^{15} +(0.944072 + 3.88699i) q^{16} +(1.13101 - 2.19386i) q^{17} +(2.42276 + 3.48285i) q^{18} +(1.03872 - 1.08938i) q^{19} +(-7.07610 - 1.71564i) q^{20} +(0.914561 - 0.438020i) q^{21} +(-5.10171 - 2.32946i) q^{22} +(-0.773426 + 0.309633i) q^{23} +(-4.73875 + 1.24266i) q^{24} +(5.40499 - 6.23769i) q^{25} +(-1.97570 - 1.14050i) q^{26} +(-4.21092 + 3.04437i) q^{27} +(0.111458 + 1.16560i) q^{28} +(-4.75005 - 2.74244i) q^{29} +(1.94322 - 8.70321i) q^{30} +(-1.31109 - 6.80259i) q^{31} +(0.535841 - 5.63142i) q^{32} +(2.73886 - 6.29916i) q^{33} +(-2.52612 + 2.40897i) q^{34} +(-1.97872 - 0.792159i) q^{35} +(-1.62727 - 5.77512i) q^{36} +(-0.495780 - 0.858717i) q^{37} +(-1.89199 + 0.975551i) q^{38} +(1.35257 - 2.44474i) q^{39} +(8.66354 + 5.56527i) q^{40} +(5.27260 - 0.251165i) q^{41} +(-1.42484 + 0.162455i) q^{42} +(-3.38001 - 5.25940i) q^{43} +(5.74098 + 5.47255i) q^{44} +(10.7007 + 2.18565i) q^{45} +(1.17685 - 0.0561388i) q^{46} +(-4.91467 - 3.86494i) q^{47} +(6.90785 + 0.530691i) q^{48} +(0.316764 - 6.64970i) q^{49} +(-10.1082 + 5.83689i) q^{50} +(-3.00617 - 3.03967i) q^{51} +(2.11303 + 2.43791i) q^{52} +(4.01347 - 6.24508i) q^{53} +(7.03562 - 2.12133i) q^{54} +(-13.6434 + 4.72201i) q^{55} +(0.390077 - 1.60933i) q^{56} +(-1.23676 - 2.29509i) q^{57} +(5.08002 + 5.86186i) q^{58} +(4.22659 + 4.87775i) q^{59} +(-6.62189 + 10.7329i) q^{60} +(-8.94118 + 0.853780i) q^{61} +(-1.39366 + 9.69773i) q^{62} +(-0.230678 - 1.74116i) q^{63} +(-3.32041 + 7.27838i) q^{64} +(-5.70701 + 1.38451i) q^{65} +(-6.57346 + 7.15200i) q^{66} +(6.83871 - 4.49801i) q^{67} +(4.49011 - 2.05129i) q^{68} +(0.0949646 + 1.43985i) q^{69} +(2.27815 + 1.97376i) q^{70} +(-7.15286 + 3.68756i) q^{71} +(-0.495946 + 8.47078i) q^{72} +(7.55514 - 0.721428i) q^{73} +(0.265475 + 1.37692i) q^{74} +(-7.37273 - 12.2479i) q^{75} +(2.97973 - 0.428826i) q^{76} +(1.43522 + 1.82503i) q^{77} +(-2.93824 + 2.64181i) q^{78} +(-6.27190 + 2.17073i) q^{79} +(-9.00482 - 11.4443i) q^{80} +(2.75441 + 8.56815i) q^{81} +(-7.16280 - 2.10267i) q^{82} +(6.78414 - 9.52699i) q^{83} +(1.97938 + 0.441810i) q^{84} +(-0.427561 + 8.97560i) q^{85} +(2.08503 + 8.59209i) q^{86} +(-7.06492 + 6.35130i) q^{87} +(-5.14180 - 9.96880i) q^{88} +(-1.42999 + 0.205601i) q^{89} +(-13.2904 - 7.86965i) q^{90} +(0.510580 + 0.794478i) q^{91} +(-1.59878 - 0.469211i) q^{92} +(-11.9063 - 1.49053i) q^{93} +(4.78091 + 7.43816i) q^{94} +(-1.79227 + 5.17843i) q^{95} +(-8.98667 - 3.90382i) q^{96} +(-9.18177 - 15.9033i) q^{97} +(-3.49853 + 8.74059i) q^{98} +(-8.90438 - 7.89013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33646 0.462455i −0.945023 0.327005i
\(3\) 0.536519 1.64686i 0.309759 0.950815i
\(4\) 1.57227 + 1.23611i 0.786136 + 0.618054i
\(5\) −3.31157 + 1.51234i −1.48098 + 0.676340i −0.981758 0.190136i \(-0.939107\pi\)
−0.499220 + 0.866475i \(0.666380\pi\)
\(6\) −1.47864 + 1.95285i −0.603651 + 0.797249i
\(7\) 0.404012 + 0.423716i 0.152702 + 0.160150i 0.795642 0.605767i \(-0.207134\pi\)
−0.642939 + 0.765917i \(0.722285\pi\)
\(8\) −1.52964 2.37912i −0.540809 0.841145i
\(9\) −2.42429 1.76714i −0.808098 0.589048i
\(10\) 5.12518 0.489740i 1.62072 0.154869i
\(11\) 3.94776 + 0.376965i 1.19029 + 0.113659i 0.671344 0.741146i \(-0.265717\pi\)
0.518949 + 0.854805i \(0.326323\pi\)
\(12\) 2.87925 1.92611i 0.831168 0.556021i
\(13\) 1.58394 + 0.305280i 0.439306 + 0.0846694i 0.404109 0.914711i \(-0.367582\pi\)
0.0351977 + 0.999380i \(0.488794\pi\)
\(14\) −0.343998 0.753118i −0.0919374 0.201279i
\(15\) 0.713897 + 6.26509i 0.184327 + 1.61764i
\(16\) 0.944072 + 3.88699i 0.236018 + 0.971749i
\(17\) 1.13101 2.19386i 0.274311 0.532090i −0.710930 0.703263i \(-0.751726\pi\)
0.985241 + 0.171174i \(0.0547559\pi\)
\(18\) 2.42276 + 3.48285i 0.571050 + 0.820916i
\(19\) 1.03872 1.08938i 0.238298 0.249920i −0.593716 0.804675i \(-0.702340\pi\)
0.832014 + 0.554755i \(0.187188\pi\)
\(20\) −7.07610 1.71564i −1.58226 0.383630i
\(21\) 0.914561 0.438020i 0.199574 0.0955838i
\(22\) −5.10171 2.32946i −1.08769 0.496643i
\(23\) −0.773426 + 0.309633i −0.161271 + 0.0645630i −0.450893 0.892578i \(-0.648894\pi\)
0.289623 + 0.957141i \(0.406470\pi\)
\(24\) −4.73875 + 1.24266i −0.967294 + 0.253657i
\(25\) 5.40499 6.23769i 1.08100 1.24754i
\(26\) −1.97570 1.14050i −0.387467 0.223670i
\(27\) −4.21092 + 3.04437i −0.810391 + 0.585889i
\(28\) 0.111458 + 1.16560i 0.0210636 + 0.220277i
\(29\) −4.75005 2.74244i −0.882063 0.509259i −0.0107248 0.999942i \(-0.503414\pi\)
−0.871338 + 0.490683i \(0.836747\pi\)
\(30\) 1.94322 8.70321i 0.354782 1.58898i
\(31\) −1.31109 6.80259i −0.235479 1.22178i −0.886503 0.462723i \(-0.846872\pi\)
0.651024 0.759057i \(1.72566\pi\)
\(32\) 0.535841 5.63142i 0.0947242 0.995504i
\(33\) 2.73886 6.29916i 0.476774 1.09654i
\(34\) −2.52612 + 2.40897i −0.433226 + 0.413136i
\(35\) −1.97872 0.792159i −0.334464 0.133899i
\(36\) −1.62727 5.77512i −0.271211 0.962520i
\(37\) −0.495780 0.858717i −0.0815058 0.141172i 0.822391 0.568923i \(-0.192640\pi\)
−0.903897 + 0.427750i \(0.859306\pi\)
\(38\) −1.89199 + 0.975551i −0.306922 + 0.158255i
\(39\) 1.35257 2.44474i 0.216584 0.391472i
\(40\) 8.66354 + 5.56527i 1.36983 + 0.879947i
\(41\) 5.27260 0.251165i 0.823443 0.0392254i 0.368369 0.929679i \(-0.379916\pi\)
0.455073 + 0.890454i \(0.349613\pi\)
\(42\) −1.42484 + 0.162455i −0.219858 + 0.0250673i
\(43\) −3.38001 5.25940i −0.515446 0.802050i 0.481794 0.876284i \(-0.339985\pi\)
−0.997241 + 0.0742340i \(0.976349\pi\)
\(44\) 5.74098 + 5.47255i 0.865485 + 0.825018i
\(45\) 10.7007 + 2.18565i 1.59517 + 0.325817i
\(46\) 1.17685 0.0561388i 0.173517 0.00827721i
\(47\) −4.91467 3.86494i −0.716878 0.563759i 0.191711 0.981451i \(-0.438596\pi\)
−0.908588 + 0.417693i \(0.862839\pi\)
\(48\) 6.90785 + 0.530691i 0.997062 + 0.0765987i
\(49\) 0.316764 6.64970i 0.0452520 0.949957i
\(50\) −10.1082 + 5.83689i −1.42952 + 0.825460i
\(51\) −3.00617 3.03967i −0.420948 0.425639i
\(52\) 2.11303 + 2.43791i 0.293024 + 0.338077i
\(53\) 4.01347 6.24508i 0.551293 0.857828i −0.448052 0.894007i \(-0.647882\pi\)
0.999345 + 0.0361789i \(0.0115186\pi\)
\(54\) 7.03562 2.12133i 0.957427 0.288676i
\(55\) −13.6434 + 4.72201i −1.83967 + 0.636716i
\(56\) 0.390077 1.60933i 0.0521263 0.215055i
\(57\) −1.23676 2.29509i −0.163812 0.303992i
\(58\) 5.08002 + 5.86186i 0.667039 + 0.769700i
\(59\) 4.22659 + 4.87775i 0.550256 + 0.635029i 0.960943 0.276748i \(-0.0892566\pi\)
−0.410687 + 0.911776i \(0.634711\pi\)
\(60\) −6.62189 + 10.7329i −0.854882 + 1.38561i
\(61\) −8.94118 + 0.853780i −1.14480 + 0.109315i −0.650171 0.759788i \(-0.725303\pi\)
−0.494631 + 0.869103i \(0.664697\pi\)
\(62\) −1.39366 + 9.69773i −0.176995 + 1.23161i
\(63\) −0.230678 1.74116i −0.0290627 0.219365i
\(64\) −3.32041 + 7.27838i −0.415051 + 0.909798i
\(65\) −5.70701 + 1.38451i −0.707868 + 0.171727i
\(66\) −6.57346 + 7.15200i −0.809137 + 0.880350i
\(67\) 6.83871 4.49801i 0.835481 0.549519i
\(68\) 4.49011 2.05129i 0.544506 0.248755i
\(69\) 0.0949646 + 1.43985i 0.0114324 + 0.173337i
\(70\) 2.27815 + 1.97376i 0.272290 + 0.235909i
\(71\) −7.15286 + 3.68756i −0.848889 + 0.437633i −0.827050 0.562129i \(-0.809982\pi\)
−0.0218392 + 0.999761i \(0.506952\pi\)
\(72\) −0.495946 + 8.47078i −0.0584478 + 0.998290i
\(73\) 7.55514 0.721428i 0.884262 0.0844368i 0.356965 0.934118i \(-0.383812\pi\)
0.527297 + 0.849681i \(0.323205\pi\)
\(74\) 0.265475 + 1.37692i 0.0308608 + 0.160064i
\(75\) −7.37273 12.2479i −0.851329 1.41427i
\(76\) 2.97973 0.428826i 0.341799 0.0491897i
\(77\) 1.43522 + 1.82503i 0.163558 + 0.207981i
\(78\) −2.93824 + 2.64181i −0.332690 + 0.299126i
\(79\) −6.27190 + 2.17073i −0.705644 + 0.244226i −0.656239 0.754553i \(-0.727854\pi\)
−0.0494050 + 0.998779i \(0.515732\pi\)
\(80\) −9.00482 11.4443i −1.00677 1.27951i
\(81\) 2.75441 + 8.56815i 0.306046 + 0.952017i
\(82\) −7.16280 2.10267i −0.790999 0.232201i
\(83\) 6.78414 9.52699i 0.744656 1.04572i −0.252292 0.967651i \(-0.581184\pi\)
0.996948 0.0780714i \(-0.0248762\pi\)
\(84\) 1.97938 + 0.441810i 0.215968 + 0.0482054i
\(85\) −0.427561 + 8.97560i −0.0463754 + 0.973541i
\(86\) 2.08503 + 8.59209i 0.224834 + 0.926509i
\(87\) −7.06492 + 6.35130i −0.757438 + 0.680931i
\(88\) −5.14180 9.96880i −0.548118 1.06268i
\(89\) −1.42999 + 0.205601i −0.151578 + 0.0217937i −0.217686 0.976019i \(-0.569851\pi\)
0.0661079 + 0.997812i \(0.478942\pi\)
\(90\) −13.2904 7.86965i −1.40093 0.829534i
\(91\) 0.510580 + 0.794478i 0.0535233 + 0.0832839i
\(92\) −1.59878 0.469211i −0.166684 0.0489187i
\(93\) −11.9063 1.49053i −1.23463 0.154561i
\(94\) 4.78091 + 7.43816i 0.493114 + 0.767187i
\(95\) −1.79227 + 5.17843i −0.183883 + 0.531296i
\(96\) −8.98667 3.90382i −0.917198 0.398432i
\(97\) −9.18177 15.9033i −0.932267 1.61473i −0.779436 0.626482i \(-0.784494\pi\)
−0.152832 0.988252i \(-0.548839\pi\)
\(98\) −3.49853 + 8.74059i −0.353405 + 0.882933i
\(99\) −8.90438 7.89013i −0.894924 0.792988i
\(100\) 16.2086 3.12619i 1.62086 0.312619i
\(101\) 10.6422 + 2.58178i 1.05894 + 0.256896i 0.727166 0.686462i \(-0.240837\pi\)
0.331776 + 0.943358i \(0.392352\pi\)
\(102\) 2.61193 + 5.45263i 0.258620 + 0.539891i
\(103\) 0.103009 + 0.534462i 0.0101498 + 0.0526621i 0.986650 0.162852i \(-0.0520694\pi\)
−0.976501 + 0.215514i \(0.930857\pi\)
\(104\) −1.69656 4.23535i −0.166362 0.415310i
\(105\) −2.36619 + 2.83366i −0.230917 + 0.276537i
\(106\) −8.25193 + 6.49028i −0.801498 + 0.630392i
\(107\) 2.49798 5.46982i 0.241489 0.528787i −0.749615 0.661874i \(-0.769762\pi\)
0.991104 + 0.133086i \(0.0424888\pi\)
\(108\) −10.3839 0.418577i −0.999189 0.0402776i
\(109\) 10.8335 12.5025i 1.03766 1.19752i 0.0576988 0.998334i \(-0.481624\pi\)
0.979961 0.199189i \(-0.0638309\pi\)
\(110\) 20.4176 0.00136109i 1.94674 0.000129775i
\(111\) −1.68018 + 0.355763i −0.159476 + 0.0337675i
\(112\) −1.26556 + 1.97041i −0.119585 + 0.186186i
\(113\) 11.2355 8.00079i 1.05695 0.752651i 0.0870627 0.996203i \(-0.472252\pi\)
0.969888 + 0.243552i \(0.0783125\pi\)
\(114\) 0.591504 + 3.63925i 0.0553995 + 0.340847i
\(115\) 2.09298 2.19506i 0.195172 0.204690i
\(116\) −4.07841 10.1834i −0.378671 0.945509i
\(117\) −3.30047 3.53914i −0.305128 0.327194i
\(118\) −3.39295 8.47354i −0.312346 0.780053i
\(119\) 1.38652 0.407118i 0.127102 0.0373205i
\(120\) 13.8134 11.2818i 1.26098 1.02988i
\(121\) 4.64147 + 0.894571i 0.421952 + 0.0813246i
\(122\) 12.3444 + 2.99385i 1.11761 + 0.271050i
\(123\) 2.41522 8.81800i 0.217773 0.795092i
\(124\) 6.34735 12.3162i 0.570008 1.10602i
\(125\) −3.33715 + 11.3653i −0.298484 + 1.01654i
\(126\) −0.496914 + 2.43367i −0.0442686 + 0.216809i
\(127\) 7.08833 + 7.43402i 0.628987 + 0.659663i 0.958700 0.284418i \(-0.0918004\pi\)
−0.329713 + 0.944081i \(0.606952\pi\)
\(128\) 7.80353 8.19176i 0.689741 0.724056i
\(129\) −10.4749 + 2.74463i −0.922266 + 0.241652i
\(130\) 8.26749 + 0.788893i 0.725107 + 0.0691905i
\(131\) −2.26842 + 15.7772i −0.198193 + 1.37846i 0.611331 + 0.791375i \(0.290634\pi\)
−0.809524 + 0.587087i \(0.800275\pi\)
\(132\) 12.0927 6.51846i 1.05253 0.567359i
\(133\) 0.881240 0.0764132
\(134\) −11.2198 + 2.84883i −0.969244 + 0.246102i
\(135\) 9.34061 16.4500i 0.803911 1.41579i
\(136\) −6.94950 + 0.664999i −0.595915 + 0.0570232i
\(137\) −14.9130 2.14417i −1.27411 0.183189i −0.528132 0.849162i \(-0.677107\pi\)
−0.745976 + 0.665973i \(0.768017\pi\)
\(138\) 0.538948 1.96822i 0.0458783 0.167546i
\(139\) −15.2537 + 6.96615i −1.29381 + 0.590861i −0.938948 0.344059i \(-0.888198\pi\)
−0.354857 + 0.934920i \(0.615471\pi\)
\(140\) −2.13188 3.69140i −0.180177 0.311980i
\(141\) −9.00182 + 6.02015i −0.758090 + 0.506988i
\(142\) 11.2649 1.62041i 0.945327 0.135982i
\(143\) 6.13794 + 1.80226i 0.513280 + 0.150713i
\(144\) 4.58017 11.0915i 0.381680 0.924294i
\(145\) 19.8776 + 1.89808i 1.65075 + 0.157627i
\(146\) −10.4308 2.52975i −0.863259 0.209363i
\(147\) −10.7812 4.08936i −0.889216 0.337284i
\(148\) 0.281966 1.96297i 0.0231775 0.161355i
\(149\) 1.05498 + 3.59294i 0.0864276 + 0.294345i 0.991352 0.131226i \(-0.0418913\pi\)
−0.904925 + 0.425571i \(0.860073\pi\)
\(150\) 4.18928 + 19.7784i 0.342053 + 1.61490i
\(151\) −0.229464 + 0.445098i −0.0186735 + 0.0362215i −0.897988 0.440021i \(-0.854971\pi\)
0.879314 + 0.476242i \(0.158001\pi\)
\(152\) −4.18061 0.804880i −0.339093 0.0652844i
\(153\) −6.61878 + 3.31990i −0.535097 + 0.268398i
\(154\) −1.07412 3.10280i −0.0865553 0.250031i
\(155\) 14.6296 + 20.5444i 1.17508 + 1.65017i
\(156\) 5.14857 2.17188i 0.412215 0.173889i
\(157\) 17.7250 7.09601i 1.41461 0.566323i 0.466571 0.884484i \(-0.345489\pi\)
0.948037 + 0.318161i \(0.103065\pi\)
\(158\) 9.38603 0.000625697i 0.746713 4.97778e-5i
\(159\) −8.13148 9.96023i −0.644868 0.789898i
\(160\) 6.74216 + 19.4592i 0.533014 + 1.53838i
\(161\) −0.443670 0.202617i −0.0349661 0.0159685i
\(162\) 0.281211 12.7248i 0.0220941 0.999756i
\(163\) 18.4381 + 10.6452i 1.44418 + 0.833798i 0.998125 0.0612065i \(-0.0194948\pi\)
0.446056 + 0.895005i \(0.352828\pi\)
\(164\) 8.60043 + 6.12261i 0.671581 + 0.478096i
\(165\) 0.456573 + 25.0022i 0.0355442 + 1.94642i
\(166\) −13.4726 + 9.59511i −1.04567 + 0.744725i
\(167\) −3.03613 + 12.5151i −0.234943 + 0.968448i 0.725111 + 0.688632i \(0.241789\pi\)
−0.960054 + 0.279816i \(0.909727\pi\)
\(168\) −2.44105 1.50584i −0.188331 0.116178i
\(169\) −9.65311 3.86452i −0.742547 0.297271i
\(170\) 4.72223 11.7978i 0.362178 0.904853i
\(171\) −4.44324 + 0.805405i −0.339783 + 0.0615909i
\(172\) 1.18689 12.4473i 0.0904998 0.949094i
\(173\) −19.9791 6.91485i −1.51899 0.525726i −0.564874 0.825177i \(-0.691075\pi\)
−0.954112 + 0.299451i \(0.903197\pi\)
\(174\) 12.3792 5.22108i 0.938464 0.395809i
\(175\) 4.82669 0.229924i 0.364864 0.0173806i
\(176\) 2.26171 + 15.7008i 0.170483 + 1.18349i
\(177\) 10.3006 4.34360i 0.774242 0.326485i
\(178\) 2.00621 + 0.386526i 0.150372 + 0.0289713i
\(179\) 1.65052 + 11.4796i 0.123365 + 0.858026i 0.953700 + 0.300760i \(0.0972404\pi\)
−0.830334 + 0.557266i \(0.811851\pi\)
\(180\) 14.1228 + 16.6637i 1.05265 + 1.24204i
\(181\) 17.2198 + 13.5418i 1.27994 + 1.00655i 0.998902 + 0.0468576i \(0.0149207\pi\)
0.281037 + 0.959697i \(0.409322\pi\)
\(182\) −0.314961 1.29791i −0.0233465 0.0962076i
\(183\) −3.39106 + 15.1829i −0.250674 + 1.12236i
\(184\) 1.91972 + 1.36645i 0.141523 + 0.100736i
\(185\) 2.94048 + 2.09391i 0.216189 + 0.153947i
\(186\) 15.2231 + 7.49819i 1.11621 + 0.549794i
\(187\) 5.29198 8.23448i 0.386988 0.602165i
\(188\) −2.94971 12.1518i −0.215129 0.886260i
\(189\) −2.99121 0.554270i −0.217578 0.0403172i
\(190\) 4.79010 6.09194i 0.347510 0.441956i
\(191\) 15.3210 12.0486i 1.10859 0.871807i 0.115994 0.993250i \(-0.462995\pi\)
0.992598 + 0.121443i \(0.0387523\pi\)
\(192\) 10.2050 + 9.37324i 0.736484 + 0.676455i
\(193\) −14.3463 16.5565i −1.03267 1.19176i −0.981182 0.193087i \(-0.938150\pi\)
−0.0514846 0.998674i \(-0.516395\pi\)
\(194\) 4.91655 + 25.5003i 0.352988 + 1.83082i
\(195\) −0.781833 + 10.1415i −0.0559882 + 0.726246i
\(196\) 8.71779 10.0636i 0.622699 0.718827i
\(197\) 0.0787918 + 0.152835i 0.00561368 + 0.0108890i 0.891626 0.452773i \(-0.149565\pi\)
−0.886012 + 0.463662i \(0.846535\pi\)
\(198\) 8.25155 + 14.6627i 0.586412 + 1.04204i
\(199\) −14.3846 + 3.48966i −1.01970 + 0.247376i −0.710556 0.703641i \(-0.751557\pi\)
−0.309141 + 0.951016i \(0.600041\pi\)
\(200\) −23.1079 3.31770i −1.63398 0.234597i
\(201\) −3.73850 13.6757i −0.263693 0.964607i
\(202\) −13.0290 8.37200i −0.916717 0.589052i
\(203\) −0.757062 3.12065i −0.0531354 0.219027i
\(204\) −0.969156 8.49514i −0.0678545 0.594779i
\(205\) −17.0807 + 8.80573i −1.19297 + 0.615019i
\(206\) 0.109497 0.761926i 0.00762899 0.0530859i
\(207\) 2.42218 + 0.616113i 0.168353 + 0.0428228i
\(208\) 0.308735 + 6.44498i 0.0214069 + 0.446879i
\(209\) 4.51126 3.90903i 0.312050 0.270393i
\(210\) 4.47277 2.69283i 0.308651 0.185823i
\(211\) 12.4341 + 15.8113i 0.856002 + 1.08849i 0.995164 + 0.0982253i \(0.0313166\pi\)
−0.139162 + 0.990270i \(0.544441\pi\)
\(212\) 14.0299 4.85788i 0.963575 0.333641i
\(213\) 2.23524 + 13.7582i 0.153156 + 0.942697i
\(214\) −5.86801 + 6.15501i −0.401129 + 0.420748i
\(215\) 19.1471 + 12.3051i 1.30582 + 0.839202i
\(216\) 13.6841 + 5.36149i 0.931085 + 0.364803i
\(217\) 2.35267 3.30386i 0.159709 0.224281i
\(218\) −20.2604 + 11.6992i −1.37221 + 0.792367i
\(219\) 2.86538 12.8293i 0.193625 0.866925i
\(220\) −27.2880 9.44039i −1.83976 0.636471i
\(221\) 2.46120 3.12967i 0.165558 0.210525i
\(222\) 2.41003 + 0.301544i 0.161750 + 0.0202383i
\(223\) 5.82565 0.837602i 0.390114 0.0560900i 0.0555331 0.998457i \(-0.482314\pi\)
0.334581 + 0.942367i \(0.391405\pi\)
\(224\) 2.60261 2.04812i 0.173894 0.136846i
\(225\) −24.1262 + 5.57062i −1.60841 + 0.371374i
\(226\) −18.7159 + 5.49684i −1.24496 + 0.365644i
\(227\) 0.415706 + 8.72675i 0.0275914 + 0.579215i 0.969758 + 0.244069i \(0.0784824\pi\)
−0.942166 + 0.335145i \(0.891215\pi\)
\(228\) 0.892465 5.13727i 0.0591050 0.340224i
\(229\) −2.84115 + 8.20898i −0.187749 + 0.542464i −0.999114 0.0420744i \(-0.986603\pi\)
0.811366 + 0.584539i \(0.198725\pi\)
\(230\) −3.81231 + 1.96570i −0.251376 + 0.129615i
\(231\) 3.77558 1.38444i 0.248415 0.0910894i
\(232\) 0.741266 + 15.4959i 0.0486665 + 1.01736i
\(233\) 1.68597 4.21135i 0.110452 0.275895i −0.862836 0.505484i \(-0.831314\pi\)
0.973288 + 0.229589i \(0.0737382\pi\)
\(234\) 2.77426 + 6.25625i 0.181359 + 0.408984i
\(235\) 22.1203 + 5.36634i 1.44297 + 0.350061i
\(236\) 0.615924 + 12.8937i 0.0400932 + 0.839306i
\(237\) 0.209888 + 11.4936i 0.0136337 + 0.746588i
\(238\) −2.04130 0.0971029i −0.132318 0.00629425i
\(239\) 8.11817 14.0611i 0.525121 0.909536i −0.474451 0.880282i \(-0.657353\pi\)
0.999572 0.0292541i \(-0.00931320\pi\)
\(240\) −23.6784 + 8.68961i −1.52843 + 0.560912i
\(241\) −5.33932 + 11.6915i −0.343936 + 0.753114i −0.999999 0.00159218i \(-0.999493\pi\)
0.656063 + 0.754706i \(0.272220\pi\)
\(242\) −5.78946 3.34203i −0.372161 0.214834i
\(243\) 15.5883 + 0.0608446i 0.999992 + 0.00390318i
\(244\) −15.1133 9.70990i −0.967532 0.621613i
\(245\) 9.00763 + 22.5000i 0.575476 + 1.43747i
\(246\) −7.30578 + 10.6680i −0.465799 + 0.680167i
\(247\) 1.97783 1.40841i 0.125846 0.0896148i
\(248\) −14.1787 + 13.5247i −0.900346 + 0.858822i
\(249\) −12.0498 16.2839i −0.763625 1.03195i
\(250\) 9.71592 13.6460i 0.614489 0.863050i
\(251\) −10.9261 5.63279i −0.689648 0.355538i 0.0775142 0.996991i \(-0.475302\pi\)
−0.767162 + 0.641453i \(0.778332\pi\)
\(252\) 1.78957 3.02272i 0.112732 0.190413i
\(253\) −3.17002 + 0.930802i −0.199297 + 0.0585190i
\(254\) −6.03539 13.2133i −0.378694 0.829078i
\(255\) 14.5522 + 5.51971i 0.911292 + 0.345658i
\(256\) −14.2175 + 7.33921i −0.888591 + 0.458700i
\(257\) 2.43969 25.5496i 0.152184 1.59374i −0.520534 0.853841i \(-0.674267\pi\)
0.672718 0.739899i \(-0.265127\pi\)
\(258\) 15.2686 + 1.17608i 0.950583 + 0.0732192i
\(259\) 0.163551 0.557002i 0.0101625 0.0346104i
\(260\) −10.6844 4.87767i −0.662617 0.302500i
\(261\) 6.66924 + 15.0425i 0.412816 + 0.931108i
\(262\) 10.3279 20.0366i 0.638060 1.23787i
\(263\) −3.21784 7.04608i −0.198420 0.434480i 0.784100 0.620634i \(-0.213125\pi\)
−0.982521 + 0.186154i \(0.940398\pi\)
\(264\) −19.1759 + 3.11937i −1.18019 + 0.191984i
\(265\) −3.84618 + 26.7508i −0.236269 + 1.64329i
\(266\) −1.17775 0.407534i −0.0722122 0.0249875i
\(267\) −0.428619 + 2.46530i −0.0262310 + 0.150874i
\(268\) 16.3123 + 1.38129i 0.996434 + 0.0843759i
\(269\) 0.671865i 0.0409643i 0.999790 + 0.0204822i \(0.00652013\pi\)
−0.999790 + 0.0204822i \(0.993480\pi\)
\(270\) −20.0908 + 17.6652i −1.22268 + 1.07507i
\(271\) 19.1926 + 2.75948i 1.16587 + 0.167626i 0.697950 0.716146i \(-0.254096\pi\)
0.467917 + 0.883773i \(0.345005\pi\)
\(272\) 9.59529 + 2.32508i 0.581800 + 0.140979i
\(273\) 1.58233 0.414601i 0.0957669 0.0250928i
\(274\) 18.9392 + 9.76222i 1.14416 + 0.589757i
\(275\) 23.6890 22.5874i 1.42850 1.36207i
\(276\) −1.63050 + 2.38122i −0.0981445 + 0.143333i
\(277\) −1.71179 0.502628i −0.102852 0.0302000i 0.229902 0.973214i \(-0.426160\pi\)
−0.332753 + 0.943014i \(0.607978\pi\)
\(278\) 23.6076 2.25584i 1.41589 0.135296i
\(279\) −8.84267 + 18.8084i −0.529397 + 1.12603i
\(280\) 1.14208 + 5.91932i 0.0682525 + 0.353747i
\(281\) 5.04567 26.1794i 0.301000 1.56173i −0.444841 0.895610i \(-0.646740\pi\)
0.745841 0.666124i \(-0.232048\pi\)
\(282\) 14.8147 3.88278i 0.882200 0.231216i
\(283\) 7.13494 + 24.2994i 0.424128 + 1.44445i 0.843744 + 0.536746i \(0.180347\pi\)
−0.419616 + 0.907702i \(0.637835\pi\)
\(284\) −15.8045 3.04388i −0.937822 0.180621i
\(285\) 7.56657 + 5.72995i 0.448205 + 0.339413i
\(286\) −7.36967 5.24718i −0.435778 0.310272i
\(287\) 2.23662 + 2.13261i 0.132023 + 0.125884i
\(288\) −11.2506 + 12.7053i −0.662946 + 0.748668i
\(289\) 6.32713 + 8.88521i 0.372184 + 0.522660i
\(290\) −25.6880 11.7292i −1.50845 0.688764i
\(291\) −31.1167 + 6.58867i −1.82409 + 0.386235i
\(292\) 12.7705 + 8.20469i 0.747337 + 0.480143i
\(293\) 21.4255 + 18.5653i 1.25169 + 1.08459i 0.992936 + 0.118651i \(0.0378568\pi\)
0.258752 + 0.965944i \(0.416689\pi\)
\(294\) 12.5175 + 10.4511i 0.730036 + 0.609519i
\(295\) −21.3735 9.76094i −1.24441 0.568304i
\(296\) −1.28462 + 2.49305i −0.0746673 + 0.144905i
\(297\) −17.7713 + 10.4311i −1.03120 + 0.605272i
\(298\) 0.251627 5.28972i 0.0145764 0.306425i
\(299\) −1.31959 + 0.254329i −0.0763137 + 0.0147083i
\(300\) 3.54781 28.3705i 0.204833 1.63797i
\(301\) 0.862924 3.55702i 0.0497381 0.205023i
\(302\) 0.512508 0.488740i 0.0294915 0.0281239i
\(303\) 9.96158 16.1411i 0.572278 0.927281i
\(304\) 5.21502 + 3.00904i 0.299102 + 0.172580i
\(305\) 28.3181 16.3495i 1.62149 0.936168i
\(306\) 10.3811 1.37604i 0.593446 0.0786632i
\(307\) −11.6401 4.02866i −0.664333 0.229928i −0.0259692 0.999663i \(-0.508267\pi\)
−0.638364 + 0.769735i \(0.720388\pi\)
\(308\) 0.000619097 4.64352i 3.52764e−5 0.264589i
\(309\) 0.935450 + 0.117107i 0.0532159 + 0.00666200i
\(310\) −10.0511 34.2224i −0.570863 1.94370i
\(311\) −12.5362 + 8.05652i −0.710862 + 0.456843i −0.845447 0.534059i \(-0.820666\pi\)
0.134585 + 0.990902i \(0.457030\pi\)
\(312\) −7.88527 + 0.521654i −0.446415 + 0.0295328i
\(313\) 2.25892 + 15.7112i 0.127682 + 0.888047i 0.948482 + 0.316831i \(0.102619\pi\)
−0.820800 + 0.571216i \(0.806472\pi\)
\(314\) −26.9704 + 1.28656i −1.52203 + 0.0726048i
\(315\) 3.39713 + 5.41710i 0.191407 + 0.305219i
\(316\) −12.5444 4.33978i −0.705677 0.244132i
\(317\) 27.5527 + 1.31250i 1.54751 + 0.0737172i 0.803849 0.594834i \(-0.202782\pi\)
0.743666 + 0.668551i \(0.233085\pi\)
\(318\) 6.26127 + 17.0719i 0.351114 + 0.957346i
\(319\) −17.7183 12.6171i −0.992032 0.706423i
\(320\) −0.0116491 29.1245i −0.000651202 1.62811i
\(321\) −7.66781 7.04849i −0.427975 0.393408i
\(322\) 0.499248 + 0.475968i 0.0278220 + 0.0265247i
\(323\) −1.21513 3.51090i −0.0676119 0.195352i
\(324\) −6.26048 + 16.8762i −0.347805 + 0.937567i
\(325\) 10.4654 8.23011i 0.580518 0.456524i
\(326\) −19.7189 22.7537i −1.09213 1.26021i
\(327\) −14.7775 24.5491i −0.817198 1.35757i
\(328\) −8.66273 12.1600i −0.478319 0.671421i
\(329\) −0.347951 3.64390i −0.0191831 0.200895i
\(330\) 10.9522 33.6256i 0.602897 1.85103i
\(331\) −12.5210 24.2873i −0.688215 1.33495i −0.931053 0.364883i \(-0.881109\pi\)
0.242839 0.970067i \(1.57808\pi\)
\(332\) 22.4429 6.59308i 1.23171 0.361842i
\(333\) −0.315557 + 2.95790i −0.0172924 + 0.162092i
\(334\) 9.84535 15.3219i 0.538714 0.838378i
\(335\) −15.8443 + 25.2379i −0.865667 + 1.37889i
\(336\) 2.56599 + 3.14137i 0.139986 + 0.171376i
\(337\) −3.51753 14.4995i −0.191612 0.789836i −0.983757 0.179503i \(-0.942551\pi\)
0.792145 0.610333i \(-0.208964\pi\)
\(338\) 11.1139 + 9.62892i 0.604514 + 0.523744i
\(339\) −7.14810 22.7959i −0.388232 1.23811i
\(340\) −11.7671 + 13.5836i −0.638158 + 0.736672i
\(341\) −2.61153 27.3492i −0.141422 1.48104i
\(342\) 6.31069 + 0.978402i 0.341243 + 0.0529059i
\(343\) 6.04278 5.23610i 0.326279 0.282723i
\(344\) −7.34253 + 16.0864i −0.395883 + 0.867321i
\(345\) −2.49203 4.62454i −0.134166 0.248977i
\(346\) 23.5036 + 18.4809i 1.26356 + 0.993539i
\(347\) −2.65994 7.68540i −0.142793 0.412574i 0.850814 0.525467i \(-0.176109\pi\)
−0.993607 + 0.112893i \(0.963988\pi\)
\(348\) −18.9589 + 1.25296i −1.01630 + 0.0671658i
\(349\) −21.7769 13.9951i −1.16569 0.749143i −0.192988 0.981201i \(-0.561818\pi\)
−0.972702 + 0.232058i \(0.925454\pi\)
\(350\) −6.55703 1.92484i −0.350488 0.102887i
\(351\) −7.59923 + 3.53659i −0.405617 + 0.188769i
\(352\) 4.23822 22.0295i 0.225898 1.17418i
\(353\) 1.17191 + 0.0558251i 0.0623746 + 0.00297127i 0.0787460 0.996895i \(-0.474908\pi\)
−0.0163714 + 0.999866i \(0.505211\pi\)
\(354\) −15.7751 + 1.04150i −0.838438 + 0.0553550i
\(355\) 18.1103 23.0292i 0.961197 1.22226i
\(356\) −2.50247 1.44436i −0.132631 0.0765508i
\(357\) 0.0734261 2.50183i 0.00388612 0.132411i
\(358\) 3.10294 16.1054i 0.163996 0.851195i
\(359\) 1.86015 1.19545i 0.0981750 0.0630933i −0.490632 0.871367i \(-0.663234\pi\)
0.588807 + 0.808274i \(0.299598\pi\)
\(360\) −11.1683 28.8016i −0.588624 1.51798i
\(361\) 0.796251 + 16.7154i 0.0419080 + 0.879757i
\(362\) −16.7512 26.0615i −0.880422 1.36976i
\(363\) 3.96347 7.16390i 0.208028 0.376007i
\(364\) −0.179291 + 1.88027i −0.00939739 + 0.0985527i
\(365\) −23.9283 + 13.8150i −1.25246 + 0.723111i
\(366\) 11.5535 18.7232i 0.603909 0.978680i
\(367\) −4.58621 + 11.4558i −0.239398 + 0.597988i −0.998602 0.0528654i \(-0.983165\pi\)
0.759203 + 0.650854i \(0.225589\pi\)
\(368\) −1.93371 2.71399i −0.100802 0.141476i
\(369\) −13.2262 8.70855i −0.688528 0.453349i
\(370\) −2.96151 4.15827i −0.153962 0.216178i
\(371\) 4.26763 0.822519i 0.221564 0.0427031i
\(372\) −16.8775 17.0610i −0.875059 0.884574i
\(373\) −5.01109 + 8.67946i −0.259464 + 0.449406i −0.966099 0.258174i \(-0.916879\pi\)
0.706634 + 0.707579i \(0.250213\pi\)
\(374\) −10.8806 + 8.55779i −0.562623 + 0.442513i
\(375\) 16.9266 + 11.5935i 0.874086 + 0.598687i
\(376\) −1.67748 + 17.6045i −0.0865092 + 0.907884i
\(377\) −6.68659 5.79397i −0.344377 0.298404i
\(378\) 3.74132 + 2.12406i 0.192433 + 0.109250i
\(379\) −1.14713 2.86539i −0.0589241 0.147185i 0.895984 0.444085i \(-0.146471\pi\)
−0.954908 + 0.296900i \(0.904047\pi\)
\(380\) −9.21904 + 5.92646i −0.472927 + 0.304021i
\(381\) 16.0458 7.68499i 0.822052 0.393714i
\(382\) −26.0480 + 9.01723i −1.33273 + 0.461362i
\(383\) −27.8271 26.5331i −1.42190 1.35578i −0.840082 0.542459i \(-0.817493\pi\)
−0.581817 0.813320i \(1.30234\pi\)
\(384\) −9.30394 17.2464i −0.474790 0.880099i
\(385\) −7.51288 3.87316i −0.382892 0.197394i
\(386\) 11.5166 + 28.7616i 0.586181 + 1.46393i
\(387\) −1.09997 + 18.7233i −0.0559144 + 0.951758i
\(388\) 5.22196 36.3539i 0.265105 1.84559i
\(389\) −3.53207 + 18.3261i −0.179083 + 0.929170i 0.775528 + 0.631314i \(0.217484\pi\)
−0.954611 + 0.297857i \(0.903728\pi\)
\(390\) 5.73486 13.1921i 0.290396 0.668010i
\(391\) −0.195464 + 2.04699i −0.00988503 + 0.103521i
\(392\) −16.3050 + 9.41802i −0.823525 + 0.475682i
\(393\) 24.7658 + 12.2005i 1.24927 + 0.615436i
\(394\) −0.0346232 0.240696i −0.00174429 0.0121261i
\(395\) 17.4869 16.6738i 0.879863 0.838948i
\(396\) −4.24704 23.4122i −0.213422 1.17651i
\(397\) −11.5124 25.2086i −0.577790 1.26518i −0.942545 0.334079i \(-0.891575\pi\)
0.364755 0.931103i \(-0.381153\pi\)
\(398\) 20.8383 + 1.98841i 1.04453 + 0.0996702i
\(399\) 0.472802 1.45128i 0.0236697 0.0726548i
\(400\) 29.3486 + 15.1203i 1.46743 + 0.756017i
\(401\) 17.0824i 0.853052i 0.904475 + 0.426526i \(0.140263\pi\)
−0.904475 + 0.426526i \(0.859737\pi\)
\(402\) −1.32801 + 20.0059i −0.0662352 + 0.997804i
\(403\) 11.1752i 0.556674i
\(404\) 13.5411 + 17.2142i 0.673696 + 0.856439i
\(405\) −22.0794 24.2084i −1.09713 1.20292i
\(406\) −0.431375 + 4.52075i −0.0214088 + 0.224361i
\(407\) −1.63351 3.57690i −0.0809703 0.177300i
\(408\) −2.63338 + 11.8016i −0.130372 + 0.584268i
\(409\) −15.9528 + 15.2109i −0.788813 + 0.752132i −0.973011 0.230757i \(-0.925880\pi\)
0.184198 + 0.982889i \(0.441031\pi\)
\(410\) 26.9000 3.86947i 1.32850 0.191100i
\(411\) −11.5323 + 23.4093i −0.568846 + 1.15470i
\(412\) −0.498694 + 0.967649i −0.0245689 + 0.0476726i
\(413\) −0.359184 + 3.76154i −0.0176743 + 0.185093i
\(414\) −2.95223 1.94356i −0.145094 0.0955208i
\(415\) −8.05806 + 41.8092i −0.395555 + 2.05233i
\(416\) 2.56790 8.75626i 0.125902 0.429311i
\(417\) 3.28835 + 28.8582i 0.161031 + 1.41319i
\(418\) −7.83689 + 3.13802i −0.383315 + 0.153486i
\(419\) 3.80131 + 1.95971i 0.185706 + 0.0957381i 0.548572 0.836103i \(-0.315172\pi\)
−0.362866 + 0.931841i \(0.618202\pi\)
\(420\) −7.22301 + 1.53041i −0.352447 + 0.0746764i
\(421\) 16.8207 + 16.0385i 0.819793 + 0.781671i 0.978629 0.205634i \(-0.0659257\pi\)
−0.158836 + 0.987305i \(0.550774\pi\)
\(422\) −9.30577 26.8815i −0.452998 1.30857i
\(423\) 5.08471 + 18.0547i 0.247227 + 0.877848i
\(424\) −20.9970 + 0.00419913i −1.01970 + 0.000203928i
\(425\) −7.57151 18.9127i −0.367272 0.917402i
\(426\) 3.37523 19.4211i 0.163530 0.940953i
\(427\) −3.97411 3.44358i −0.192321 0.166647i
\(428\) 10.6888 5.51226i 0.516662 0.266445i
\(429\) 6.26119 9.14138i 0.302293 0.441350i
\(430\) −19.8989 25.3000i −0.959609 1.22008i
\(431\) 10.0983 17.4907i 0.486416 0.842497i −0.513462 0.858112i \(-0.671637\pi\)
0.999878 + 0.0156153i \(0.00497070\pi\)
\(432\) −15.8089 13.4937i −0.760604 0.649216i
\(433\) −22.8463 + 4.40326i −1.09792 + 0.211607i −0.705874 0.708338i \(-0.749445\pi\)
−0.392048 + 0.919945i \(0.628233\pi\)
\(434\) −4.67214 + 3.32749i −0.224270 + 0.159724i
\(435\) 13.7906 31.7173i 0.661209 1.52073i
\(436\) 32.4876 6.26597i 1.55588 0.300086i
\(437\) −0.466064 + 1.16417i −0.0222949 + 0.0556899i
\(438\) −9.76246 + 15.8208i −0.466469 + 0.755947i
\(439\) 10.1399 5.85426i 0.483950 0.279408i −0.238111 0.971238i \(-0.576528\pi\)
0.722061 + 0.691829i \(0.243195\pi\)
\(440\) 32.1037 + 25.2362i 1.53048 + 1.20309i
\(441\) −12.5189 + 15.5611i −0.596138 + 0.741003i
\(442\) −4.73664 + 3.04450i −0.225299 + 0.144812i
\(443\) 0.995866 + 20.9058i 0.0473150 + 0.993264i 0.890313 + 0.455348i \(0.150485\pi\)
−0.842998 + 0.537916i \(0.819212\pi\)
\(444\) −3.08146 1.51753i −0.146240 0.0720188i
\(445\) 4.42456 2.84349i 0.209744 0.134794i
\(446\) −8.17312 1.57468i −0.387009 0.0745631i
\(447\) 6.48309 + 0.190272i 0.306640 + 0.00899957i
\(448\) −4.42545 + 1.53365i −0.209083 + 0.0724580i
\(449\) 3.78335 4.81092i 0.178547 0.227041i −0.688539 0.725199i \(-0.741748\pi\)
0.867086 + 0.498158i \(0.165990\pi\)
\(450\) 34.8199 + 3.71235i 1.64143 + 0.175002i
\(451\) 20.9096 + 0.996049i 0.984597 + 0.0469021i
\(452\) 27.5552 + 1.30893i 1.29609 + 0.0615670i
\(453\) 0.609902 + 0.616698i 0.0286557 + 0.0289750i
\(454\) 3.48015 11.8552i 0.163332 0.556394i
\(455\) −2.89234 1.85879i −0.135595 0.0871416i
\(456\) −3.56850 + 6.45305i −0.167111 + 0.302192i
\(457\) 13.1480 + 37.9888i 0.615039 + 1.77704i 0.629326 + 0.777141i \(0.283331\pi\)
−0.0142873 + 0.999898i \(0.504548\pi\)
\(458\) 7.59338 9.65709i 0.354815 0.451246i
\(459\) 1.91632 + 12.6814i 0.0894460 + 0.591917i
\(460\) 6.00406 0.864071i 0.279941 0.0402875i
\(461\) −2.50768 + 2.17292i −0.116795 + 0.101203i −0.711300 0.702888i \(-0.751893\pi\)
0.594506 + 0.804092i \(0.297348\pi\)
\(462\) −5.68617 + 0.104216i −0.264545 + 0.00484858i
\(463\) −0.817626 8.56257i −0.0379983 0.397936i −0.994384 0.105830i \(-0.966250\pi\)
0.956386 0.292106i \(1.90564\pi\)
\(464\) 6.17547 21.0525i 0.286689 0.977338i
\(465\) 41.6828 13.0704i 1.93299 0.606128i
\(466\) −4.20080 + 4.84863i −0.194598 + 0.224609i
\(467\) 4.96704 + 20.4744i 0.229847 + 0.947443i 0.963455 + 0.267870i \(0.0863199\pi\)
−0.733608 + 0.679573i \(0.762165\pi\)
\(468\) −0.814472 9.64422i −0.0376490 0.445804i
\(469\) 4.66880 + 1.08042i 0.215585 + 0.0498890i
\(470\) −27.0814 17.4016i −1.24917 0.802675i
\(471\) −2.17635 32.9977i −0.100281 1.52045i
\(472\) 5.13958 17.5168i 0.236568 0.806274i
\(473\) −11.3608 22.0370i −0.522372 1.01326i
\(474\) 5.03475 15.4578i 0.231254 0.710001i
\(475\) −1.18093 12.3673i −0.0541848 0.567449i
\(476\) 2.68322 + 1.07379i 0.122985 + 0.0492169i
\(477\) −20.7658 + 8.04755i −0.950801 + 0.368472i
\(478\) −17.3523 + 15.0378i −0.793674 + 0.687815i
\(479\) −32.9568 + 25.9175i −1.50584 + 1.18420i −0.575331 + 0.817921i \(0.695127\pi\)
−0.930504 + 0.366281i \(0.880631\pi\)
\(480\) 35.6639 0.663161i 1.62782 0.0302690i
\(481\) −0.523138 1.51151i −0.0238531 0.0689189i
\(482\) 12.5426 13.1560i 0.571299 0.599241i
\(483\) −0.571720 + 0.621954i −0.0260142 + 0.0282999i
\(484\) 6.19187 + 7.14387i 0.281449 + 0.324721i
\(485\) 54.4572 + 38.7788i 2.47278 + 1.76086i
\(486\) −20.8051 7.29022i −0.943739 0.330691i
\(487\) −37.5891 1.79059i −1.70332 0.0811392i −0.826799 0.562498i \(-0.809840\pi\)
−0.876524 + 0.481359i \(0.840143\pi\)
\(488\) 15.7080 + 19.9662i 0.711069 + 0.903826i
\(489\) 27.4236 24.6536i 1.24014 1.11487i
\(490\) −1.63315 34.2360i −0.0737782 1.54663i
\(491\) 3.24896 + 22.5970i 0.146623 + 1.01979i 0.921695 + 0.387915i \(0.126805\pi\)
−0.775072 + 0.631873i \(0.782286\pi\)
\(492\) 14.6974 10.8788i 0.662609 0.490455i
\(493\) −11.3889 + 7.31922i −0.512931 + 0.329641i
\(494\) −3.29462 + 0.967628i −0.148232 + 0.0435356i
\(495\) 41.4200 + 12.6622i 1.86169 + 0.569124i
\(496\) 25.2039 11.5183i 1.13169 0.517189i
\(497\) −4.45232 1.54096i −0.199714 0.0691217i
\(498\) 8.57353 + 27.3354i 0.384189 + 1.22493i
\(499\) −3.70613 + 2.13974i −0.165909 + 0.0957877i −0.580655 0.814149i \(-0.697204\pi\)
0.414746 + 0.909937i \(0.363870\pi\)
\(500\) −19.2956 + 13.7442i −0.862927 + 0.614661i
\(501\) 18.9817 + 11.7147i 0.848039 + 0.523373i
\(502\) 11.9974 + 12.5808i 0.535470 + 0.561510i
\(503\) −1.15785 + 4.77274i −0.0516262 + 0.212806i −0.991782 0.127939i \(-0.959164\pi\)
0.940156 + 0.340744i \(0.110679\pi\)
\(504\) −3.78957 + 3.21216i −0.168801 + 0.143081i
\(505\) −39.1470 + 7.54496i −1.74202 + 0.335746i
\(506\) 4.66707 + 0.222008i 0.207477 + 0.00986947i
\(507\) −11.5434 + 13.8239i −0.512660 + 0.613942i
\(508\) 1.95551 + 20.4502i 0.0867618 + 0.907333i
\(509\) −32.7127 14.9394i −1.44997 0.662177i −0.474085 0.880479i \(-0.657221\pi\)
−0.975881 + 0.218302i \(0.929948\pi\)
\(510\) −16.8958 14.1066i −0.748159 0.624651i
\(511\) 3.35805 + 2.90977i 0.148551 + 0.128720i
\(512\) 22.3952 3.23365i 0.989736 0.142909i
\(513\) −1.05749 + 7.74951i −0.0466894 + 0.342149i
\(514\) −15.0761 + 33.0179i −0.664978 + 1.45636i
\(515\) −1.14941 1.61412i −0.0506491 0.0711267i
\(516\) −19.8621 8.63283i −0.874380 0.380039i
\(517\) −17.9450 17.1105i −0.789219 0.752518i
\(518\) −0.476168 + 0.668778i −0.0209216 + 0.0293844i
\(519\) −22.1070 + 29.1929i −0.970388 + 1.28143i
\(520\) 12.0236 + 11.4599i 0.527269 + 0.502548i
\(521\) 1.02012 + 3.47420i 0.0446921 + 0.152207i 0.978816 0.204741i \(-0.0656353\pi\)
−0.934124 + 0.356949i \(0.883817\pi\)
\(522\) −1.95671 23.1880i −0.0856429 1.01491i
\(523\) −1.98003 + 10.2734i −0.0865807 + 0.449223i 0.912604 + 0.408845i \(0.134068\pi\)
−0.999184 + 0.0403782i \(0.987144\pi\)
\(524\) −23.0689 + 22.0020i −1.00777 + 0.961164i
\(525\) 2.21096 8.07224i 0.0964942 0.352302i
\(526\) 1.04203 + 10.9049i 0.0454346 + 0.475478i
\(527\) −16.4068 4.81747i −0.714691 0.209852i
\(528\) 27.0705 + 4.69906i 1.17809 + 0.204500i
\(529\) −16.1436 + 15.3929i −0.701894 + 0.669255i
\(530\) 17.5113 33.9727i 0.760642 1.47568i
\(531\) −1.62683 19.2941i −0.0705984 0.837292i
\(532\) 1.38555 + 1.08931i 0.0600711 + 0.0472275i
\(533\) 8.42817 + 1.21179i 0.365065 + 0.0524884i
\(534\) 1.71292 3.09656i 0.0741254 0.134001i
\(535\) 21.8915i 0.946451i
\(536\) −21.1620 9.38976i −0.914061 0.405576i
\(537\) 19.7908 + 3.44085i 0.854037 + 0.148484i
\(538\) 0.310707 0.897924i 0.0133955 0.0387122i
\(539\) 3.75721 26.1320i 0.161835 1.12558i
\(540\) 35.0199 14.3178i 1.50702 0.616141i
\(541\) 3.86053 + 8.45338i 0.165977 + 0.363439i 0.974284 0.225322i \(-0.0723433\pi\)
−0.808307 + 0.588761i \(0.799616\pi\)
\(542\) −24.3741 12.5636i −1.04696 0.539655i
\(543\) 31.5402 21.0932i 1.35352 0.905195i
\(544\) −11.7485 7.54478i −0.503713 0.323480i
\(545\) −16.9677 + 57.7868i −0.726818 + 2.47532i
\(546\) −2.30646 0.177656i −0.0987074 0.00760299i
\(547\) −0.527313 + 5.52227i −0.0225463 + 0.236115i 0.977173 + 0.212443i \(0.0681419\pi\)
−0.999720 + 0.0236725i \(0.992464\pi\)
\(548\) −20.7969 21.8054i −0.888401 0.931479i
\(549\) 23.1848 + 13.7305i 0.989504 + 0.586005i
\(550\) −42.1051 + 19.2322i −1.79537 + 0.820062i
\(551\) −7.92151 + 2.32597i −0.337468 + 0.0990895i
\(552\) 3.28031 2.42838i 0.139619 0.103359i
\(553\) −3.45370 1.78050i −0.146866 0.0757147i
\(554\) 2.05531 + 1.46337i 0.0873216 + 0.0621727i
\(555\) 5.02600 3.71914i 0.213342 0.157869i
\(556\) −32.5939 7.90260i −1.38229 0.335145i
\(557\) 12.4202 8.84435i 0.526259 0.374747i −0.285831 0.958280i \(-0.592269\pi\)
0.812089 + 0.583533i \(0.198330\pi\)
\(558\) 20.5159 21.0474i 0.868509 0.891006i
\(559\) −3.74815 9.36242i −0.158530 0.395988i
\(560\) 1.21106 8.43912i 0.0511768 0.356618i
\(561\) −10.7218 13.1331i −0.452674 0.554480i
\(562\) −18.8502 + 32.6545i −0.795146 + 1.37745i
\(563\) 9.75708 21.3650i 0.411212 0.900429i −0.584797 0.811179i \(-0.698826\pi\)
0.996009 0.0892492i \(-0.0284468\pi\)
\(564\) −21.5949 1.66191i −0.909308 0.0699790i
\(565\) −25.1073 + 43.4871i −1.05627 + 1.82952i
\(566\) 1.70177 35.7748i 0.0715309 1.50373i
\(567\) −2.51765 + 4.62873i −0.105731 + 0.194388i
\(568\) 19.7144 + 11.3769i 0.827199 + 0.477363i
\(569\) −33.5057 8.12839i −1.40463 0.340760i −0.539365 0.842072i \(-0.681336\pi\)
−0.865266 + 0.501313i \(0.832851\pi\)
\(570\) −7.46260 11.1571i −0.312574 0.467318i
\(571\) −2.87855 + 7.19027i −0.120464 + 0.300903i −0.976327 0.216298i \(-0.930602\pi\)
0.855864 + 0.517201i \(0.173026\pi\)
\(572\) 7.42271 + 10.4208i 0.310359 + 0.435715i
\(573\) −11.6223 31.6959i −0.485530 1.32412i
\(574\) −2.00292 3.88449i −0.0836004 0.162136i
\(575\) −2.24897 + 6.49796i −0.0937884 + 0.270984i
\(576\) 20.9116 11.7773i 0.871317 0.490721i
\(577\) −0.674758 14.1649i −0.0280905 0.589693i −0.968404 0.249385i \(-0.919772\pi\)
0.940314 0.340308i \(-0.110531\pi\)
\(578\) −4.34697 14.8008i −0.180810 0.615631i
\(579\) −34.9632 + 14.7434i −1.45302 + 0.612716i
\(580\) 28.9068 + 27.5552i 1.20029 + 1.14417i
\(581\) 6.77761 0.974473i 0.281183 0.0404279i
\(582\) 44.6333 + 5.58454i 1.85011 + 0.231487i
\(583\) 18.1984 23.1411i 0.753701 0.958408i
\(584\) −13.2730 16.8710i −0.549241 0.698129i
\(585\) 16.2821 + 6.72866i 0.673182 + 0.278196i
\(586\) −20.0487 34.7201i −0.828206 1.43427i
\(587\) −14.7701 + 20.7418i −0.609629 + 0.856105i −0.997855 0.0654597i \(-0.979149\pi\)
0.388226 + 0.921564i \(0.373088\pi\)
\(588\) −11.8960 19.7563i −0.490584 0.814735i
\(589\) −8.77242 5.63769i −0.361461 0.232297i
\(590\) 24.0509 + 22.9294i 0.990159 + 0.943989i
\(591\) 0.293971 0.0477603i 0.0120923 0.00196460i
\(592\) 2.86978 2.73779i 0.117947 0.112522i
\(593\) 1.44080 + 1.83212i 0.0591665 + 0.0752363i 0.814736 0.579833i \(-0.196882\pi\)
−0.755569 + 0.655069i \(0.772640\pi\)
\(594\) 28.5746 5.72231i 1.17243 0.234789i
\(595\) −3.97584 + 3.44509i −0.162994 + 0.141235i
\(596\) −2.78255 + 6.95316i −0.113978 + 0.284812i
\(597\) −1.97062 + 25.5617i −0.0806520 + 1.04617i
\(598\) 1.88120 + 0.270347i 0.0769278 + 0.0110553i
\(599\) 36.9770 19.0630i 1.51084 0.778891i 0.513958 0.857815i \(-0.328179\pi\)
0.996881 + 0.0789240i \(0.0251485\pi\)
\(600\) −17.8616 + 36.2755i −0.729197 + 1.48094i
\(601\) 0.627376 + 2.58608i 0.0255912 + 0.105488i 0.983175 0.182667i \(-0.0584731\pi\)
−0.957584 + 0.288156i \(0.906958\pi\)
\(602\) −2.79823 + 4.35477i −0.114047 + 0.177487i
\(603\) −24.5277 1.18047i −0.998844 0.0480725i
\(604\) −0.910969 + 0.416172i −0.0370668 + 0.0169338i
\(605\) −16.7234 + 4.05706i −0.679905 + 0.164943i
\(606\) −20.7778 + 16.9652i −0.844041 + 0.689164i
\(607\) 2.75357 + 5.34118i 0.111764 + 0.216792i 0.938083 0.346410i \(-0.112600\pi\)
−0.826319 + 0.563202i \(0.809569\pi\)
\(608\) −5.57814 6.43318i −0.226223 0.260900i
\(609\) −5.54546 0.427514i −0.224713 0.0173237i
\(610\) −45.4070 + 8.75463i −1.83848 + 0.354465i
\(611\) −6.60466 7.62218i −0.267196 0.308360i
\(612\) −14.5103 2.96174i −0.586543 0.119721i
\(613\) 15.9500 12.5432i 0.644214 0.506616i −0.241768 0.970334i \(-0.577727\pi\)
0.885983 + 0.463718i \(0.153485\pi\)
\(614\) 13.6934 + 10.7672i 0.552622 + 0.434527i
\(615\) 5.33767 + 32.8540i 0.215236 + 1.32480i
\(616\) 2.14659 6.20618i 0.0864886 0.250054i
\(617\) 4.14439 6.44880i 0.166847 0.259619i −0.747755 0.663975i \(-0.768868\pi\)
0.914602 + 0.404356i \(0.132504\pi\)
\(618\) −1.19604 0.589113i −0.0481117 0.0236976i
\(619\) −27.8859 19.8574i −1.12083 0.798138i −0.139451 0.990229i \(-0.544534\pi\)
−0.981377 + 0.192091i \(0.938473\pi\)
\(620\) −2.39341 + 50.3852i −0.0961216 + 2.02352i
\(621\) 2.31420 3.65843i 0.0928655 0.146808i
\(622\) 20.4799 4.96982i 0.821171 0.199272i
\(623\) −0.664848 0.522843i −0.0266366 0.0209472i
\(624\) 10.7796 + 2.94941i 0.431530 + 0.118071i
\(625\) −0.263924 1.83563i −0.0105570 0.0734254i
\(626\) 4.24673 22.0420i 0.169734 0.880977i
\(627\) −4.01725 9.52668i −0.160433 0.380459i
\(628\) 36.6399 + 10.7531i 1.46209 + 0.429097i
\(629\) −2.44464 + 0.116453i −0.0974742 + 0.00464327i
\(630\) −2.03498 8.81078i −0.0810757 0.351030i
\(631\) 18.6857 + 6.46720i 0.743868 + 0.257455i 0.672604 0.740002i \(-0.265176\pi\)
0.0712635 + 0.997458i \(0.477297\pi\)
\(632\) 14.7582 + 11.6012i 0.587048 + 0.461470i
\(633\) 32.7102 11.9942i 1.30011 0.476728i
\(634\) −36.2162 14.4960i −1.43833 0.575709i
\(635\) −34.7163 13.8983i −1.37767 0.551537i
\(636\) −0.472957 25.7116i −0.0187540 1.01953i
\(637\) 2.53175 10.4360i 0.100312 0.413491i
\(638\) 17.8450 + 25.0562i 0.706489 + 0.991985i
\(639\) 23.8571 + 3.70041i 0.943772 + 0.146386i
\(640\) −13.4532 + 38.9292i −0.531783 + 1.53881i
\(641\) −6.88671 3.97604i −0.272009 0.157044i 0.357791 0.933802i \(-0.383530\pi\)
−0.629800 + 0.776757i \(0.716863\pi\)
\(642\) 6.98814 + 12.9661i 0.275800 + 0.511730i
\(643\) 11.1869 + 5.10889i 0.441169 + 0.201475i 0.623600 0.781744i \(-0.285669\pi\)
−0.182431 + 0.983219i \(0.558397\pi\)
\(644\) −0.447113 0.866994i −0.0176187 0.0341643i
\(645\) 30.5376 24.9307i 1.20242 0.981646i
\(646\) 0.000350254 5.25414i 1.37806e−5 0.206721i
\(647\) −8.15240 + 3.26373i −0.320504 + 0.128310i −0.526335 0.850277i \(-0.676434\pi\)
0.205831 + 0.978587i \(0.434010\pi\)
\(648\) 16.1714 19.6593i 0.635272 0.772288i
\(649\) 14.8468 + 20.8494i 0.582789 + 0.818412i
\(650\) −17.7927 + 6.15945i −0.697888 + 0.241594i
\(651\) −4.17874 5.64710i −0.163778 0.221327i
\(652\) 15.8310 + 39.5286i 0.619990 + 1.54806i
\(653\) −11.7188 + 22.7313i −0.458593 + 0.889546i 0.540253 + 0.841503i \(0.318329\pi\)
−0.998845 + 0.0480428i \(0.984702\pi\)
\(654\) 8.39677 + 39.6429i 0.328340 + 1.55016i
\(655\) −16.3485 55.6779i −0.638789 2.17552i
\(656\) 5.95400 + 20.2575i 0.232465 + 0.790921i
\(657\) −19.5908 11.6021i −0.764308 0.452639i
\(658\) −1.22012 + 5.03086i −0.0475651 + 0.196123i
\(659\) −0.491330 0.0469163i −0.0191395 0.00182760i 0.0854819 0.996340i \(-0.472757\pi\)
−0.104621 + 0.994512i \(0.533363\pi\)
\(660\) −30.1875 + 39.8745i −1.17505 + 1.55211i
\(661\) 22.0594 + 6.47721i 0.858010 + 0.251934i 0.681008 0.732276i \(-0.261542\pi\)
0.177002 + 0.984211i \(0.443360\pi\)
\(662\) 5.50204 + 38.2495i 0.213843 + 1.48661i
\(663\) −3.83365 5.73238i −0.148887 0.222627i
\(664\) −33.0431 1.56741i −1.28232 0.0608275i
\(665\) −2.91828 + 1.33274i −0.113166 + 0.0516813i
\(666\) 1.78963 3.80719i 0.0693466 0.147526i
\(667\) 4.52297 + 0.650305i 0.175130 + 0.0251799i
\(668\) −20.2436 + 15.9241i −0.783250 + 0.616124i
\(669\) 1.74616 10.0434i 0.0675104 0.388301i
\(670\) 32.8467 26.4023i 1.26898 1.02001i
\(671\) −35.6195 −1.37507
\(672\) −1.97661 5.38498i −0.0762496 0.207730i
\(673\) 5.54672 38.5783i 0.213810 1.48708i −0.546465 0.837482i \(-0.684027\pi\)
0.760275 0.649601i \(-0.225064\pi\)
\(674\) −2.00429 + 21.0047i −0.0772025 + 0.809071i
\(675\) −3.77014 + 42.7212i −0.145113 + 1.64434i
\(676\) −10.4003 18.0084i −0.400013 0.692629i
\(677\) −23.9682 25.1371i −0.921173 0.966099i 0.0783516 0.996926i \(-0.475034\pi\)
−0.999525 + 0.0308272i \(0.990186\pi\)
\(678\) −0.988910 + 33.7716i −0.0379789 + 1.29699i
\(679\) 3.02893 10.3156i 0.116240 0.395876i
\(680\) 22.0080 12.7122i 0.843969 0.487491i
\(681\) 14.5948 + 3.99746i 0.559273 + 0.153183i
\(682\) −9.15755 + 37.7589i −0.350661 + 1.44586i
\(683\) 49.7829 + 9.59486i 1.90489 + 0.367137i 0.998473 0.0552487i \(-0.0175952\pi\)
0.906416 + 0.422386i \(0.138807\pi\)
\(684\) −7.98154 4.22601i −0.305182 0.161585i
\(685\) 52.6283 15.4531i 2.01082 0.590431i
\(686\) −10.4974 + 4.20334i −0.400793 + 0.160484i
\(687\) 11.9947 + 9.08325i 0.457626 + 0.346548i
\(688\) 17.2523 18.1033i 0.657737 0.690183i
\(689\) 8.26360 8.66662i 0.314818 0.330172i
\(690\) 1.19186 + 7.33297i 0.0453734 + 0.279162i
\(691\) 8.27364 5.89163i 0.314744 0.224128i −0.411757 0.911294i \(-0.635085\pi\)
0.726501 + 0.687165i \(0.241145\pi\)
\(692\) −22.8651 35.5684i −0.869202 1.35211i
\(693\) −0.254306 6.96063i −0.00966028 0.264413i
\(694\) 0.000766710 11.5014i 2.91039e−5 0.436586i
\(695\) 39.9786 46.1377i 1.51647 1.75010i
\(696\) 25.9173 + 7.09308i 0.982391 + 0.268862i
\(697\) 5.41237 11.8514i 0.205008 0.448905i
\(698\) 22.6319 + 28.7748i 0.856629 + 1.08914i
\(699\) −6.03095 5.03603i −0.228112 0.190480i
\(700\) 7.87308 + 5.60481i 0.297574 + 0.211842i
\(701\) −0.153783 0.797901i −0.00580830 0.0301363i 0.978909 0.204297i \(-0.0654909\pi\)
−0.984717 + 0.174161i \(0.944279\pi\)
\(702\) 11.7916 1.21223i 0.445046 0.0457526i
\(703\) −1.45044 0.351873i −0.0547044 0.0132711i
\(704\) −15.8519 + 27.4816i −0.597440 + 1.03575i
\(705\) 20.7056 33.5500i 0.779818 1.26356i
\(706\) −1.54040 0.616565i −0.0579738 0.0232047i
\(707\) 3.20565 + 5.55235i 0.120561 + 0.208818i
\(708\) 21.5645 + 5.90336i 0.810444 + 0.221862i
\(709\) 5.06646 14.6386i 0.190275 0.549763i −0.809001 0.587807i \(-0.799991\pi\)
0.999276 + 0.0380438i \(0.0121126\pi\)
\(710\) −34.8538 + 22.4024i −1.30804 + 0.840749i
\(711\) 19.0409 + 5.82087i 0.714090 + 0.218299i
\(712\) 2.67651 + 3.08761i 0.100307 + 0.115713i
\(713\) 3.12034 + 4.85534i 0.116858 + 0.181834i
\(714\) −1.25511 + 3.30964i −0.0469714 + 0.123860i
\(715\) −23.0518 + 3.31435i −0.862089 + 0.123950i
\(716\) −11.5950 + 20.0893i −0.433324 + 0.750771i
\(717\) −18.8011 20.9135i −0.702139 0.781030i
\(718\) −3.03886 + 0.737435i −0.113409 + 0.0275208i
\(719\) −0.880025 + 18.4740i −0.0328194 + 0.688964i 0.921177 + 0.389145i \(0.127229\pi\)
−0.953996 + 0.299819i \(0.903074\pi\)
\(720\) 1.60666 + 43.6571i 0.0598768 + 1.62700i
\(721\) −0.184843 + 0.259576i −0.00688391 + 0.00966710i
\(722\) 6.66594 22.7077i 0.248081 0.845094i
\(723\) 16.3896 + 15.0658i 0.609535 + 0.560303i
\(724\) 10.3351 + 42.5769i 0.384100 + 1.58236i
\(725\) −42.7805 + 14.8065i −1.58883 + 0.549899i
\(726\) −8.61002 + 7.74137i −0.319548 + 0.287309i
\(727\) 27.7985 + 35.3487i 1.03099 + 1.31101i 0.949306 + 0.314354i \(0.101788\pi\)
0.0816851 + 0.996658i \(0.473970\pi\)
\(728\) 1.10915 2.42999i 0.0411080 0.0900616i
\(729\) 8.46364 25.6392i 0.313468 0.949599i
\(730\) 38.3681 7.39750i 1.42007 0.273794i
\(731\) −15.3612 + 1.46682i −0.568155 + 0.0542523i
\(732\) −24.0994 + 19.6800i −0.890741 + 0.727393i
\(733\) 13.8463 7.13825i 0.511424 0.263657i −0.183142 0.983086i \(-0.558627\pi\)
0.694566 + 0.719429i \(0.255597\pi\)
\(734\) 11.4271 13.1894i 0.421782 0.486828i
\(735\) 41.8871 2.76264i 1.54503 0.101902i
\(736\) 1.32924 + 4.52140i 0.0489964 + 0.166661i
\(737\) 28.6932 15.1791i 1.05693 0.559129i
\(738\) 13.6490 + 17.7552i 0.502427 + 0.653577i
\(739\) −11.5504 + 2.80211i −0.424890 + 0.103077i −0.442502 0.896768i \(-0.645909\pi\)
0.0176117 + 0.999845i \(0.494394\pi\)
\(740\) 2.03494 + 6.92695i 0.0748058 + 0.254640i
\(741\) −1.25831 4.01285i −0.0462250 0.147416i
\(742\) −6.08391 0.874321i −0.223348 0.0320973i
\(743\) 44.3242 4.23245i 1.62610 0.155273i 0.758202 0.652020i \(-0.226078\pi\)
0.867896 + 0.496747i \(0.165472\pi\)
\(744\) 14.6662 + 30.6066i 0.537690 + 1.12209i
\(745\) −8.92741 10.3028i −0.327075 0.377465i
\(746\) 10.7110 9.28239i 0.392158 0.339852i
\(747\) −33.2823 + 11.1077i −1.21774 + 0.406409i
\(748\) 18.4991 6.40538i 0.676396 0.234204i
\(749\) 3.32686 1.15144i 0.121561 0.0420727i