Properties

Label 225.2.q.a.106.18
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.18
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.429627 + 0.0913200i) q^{2} +(0.335739 + 1.69920i) q^{3} +(-1.65085 - 0.735006i) q^{4} +(-1.76971 + 1.36679i) q^{5} +(-0.0109284 + 0.760681i) q^{6} +(-0.888066 + 1.53818i) q^{7} +(-1.35281 - 0.982874i) q^{8} +(-2.77456 + 1.14098i) q^{9} +O(q^{10})\) \(q+(0.429627 + 0.0913200i) q^{2} +(0.335739 + 1.69920i) q^{3} +(-1.65085 - 0.735006i) q^{4} +(-1.76971 + 1.36679i) q^{5} +(-0.0109284 + 0.760681i) q^{6} +(-0.888066 + 1.53818i) q^{7} +(-1.35281 - 0.982874i) q^{8} +(-2.77456 + 1.14098i) q^{9} +(-0.885131 + 0.425600i) q^{10} +(4.21184 + 0.895255i) q^{11} +(0.694667 - 3.05190i) q^{12} +(-6.27541 + 1.33388i) q^{13} +(-0.522003 + 0.579743i) q^{14} +(-2.91661 - 2.54821i) q^{15} +(1.92690 + 2.14004i) q^{16} +(0.162997 + 0.118424i) q^{17} +(-1.29622 + 0.236821i) q^{18} +(4.79916 + 3.48679i) q^{19} +(3.92613 - 0.955619i) q^{20} +(-2.91183 - 0.992576i) q^{21} +(1.72777 + 0.769251i) q^{22} +(1.83276 - 2.03549i) q^{23} +(1.21591 - 2.62868i) q^{24} +(1.26376 - 4.83765i) q^{25} -2.81790 q^{26} +(-2.87027 - 4.33146i) q^{27} +(2.59663 - 1.88657i) q^{28} +(0.0773364 + 0.735807i) q^{29} +(-1.02035 - 1.36112i) q^{30} +(-0.289472 + 2.75414i) q^{31} +(2.30458 + 3.99166i) q^{32} +(-0.107137 + 7.45733i) q^{33} +(0.0592133 + 0.0657630i) q^{34} +(-0.530743 - 3.93593i) q^{35} +(5.41901 + 0.155738i) q^{36} +(-1.36941 + 4.21461i) q^{37} +(1.74343 + 1.93628i) q^{38} +(-4.37343 - 10.2153i) q^{39} +(3.73747 - 0.109604i) q^{40} +(12.3006 - 2.61458i) q^{41} +(-1.16036 - 0.692345i) q^{42} +(-3.91700 + 6.78444i) q^{43} +(-6.29511 - 4.57366i) q^{44} +(3.35070 - 5.81144i) q^{45} +(0.973285 - 0.707133i) q^{46} +(-0.0518311 - 0.493140i) q^{47} +(-2.98942 + 3.99268i) q^{48} +(1.92268 + 3.33017i) q^{49} +(0.984721 - 1.96298i) q^{50} +(-0.146502 + 0.316724i) q^{51} +(11.3402 + 2.41043i) q^{52} +(5.99398 - 4.35488i) q^{53} +(-0.837597 - 2.12302i) q^{54} +(-8.67738 + 4.17236i) q^{55} +(2.71322 - 1.20800i) q^{56} +(-4.31349 + 9.32538i) q^{57} +(-0.0339681 + 0.323185i) q^{58} +(-9.52123 + 2.02380i) q^{59} +(2.94194 + 6.35044i) q^{60} +(-9.51841 - 2.02320i) q^{61} +(-0.375873 + 1.15682i) q^{62} +(0.708972 - 5.28102i) q^{63} +(-1.15416 - 3.55215i) q^{64} +(9.28254 - 10.9378i) q^{65} +(-0.727032 + 3.19409i) q^{66} +(-0.0149037 + 0.141799i) q^{67} +(-0.182041 - 0.315304i) q^{68} +(4.07403 + 2.43084i) q^{69} +(0.131408 - 1.73945i) q^{70} +(1.95406 - 1.41971i) q^{71} +(4.87488 + 1.18352i) q^{72} +(-0.860848 - 2.64942i) q^{73} +(-0.973212 + 1.68565i) q^{74} +(8.64444 + 0.523199i) q^{75} +(-5.35988 - 9.28359i) q^{76} +(-5.11745 + 5.68351i) q^{77} +(-0.946077 - 4.78817i) q^{78} +(-1.34516 - 12.7983i) q^{79} +(-6.33505 - 1.15358i) q^{80} +(6.39635 - 6.33140i) q^{81} +5.52343 q^{82} +(3.13799 - 1.39712i) q^{83} +(4.07744 + 3.77881i) q^{84} +(-0.450318 + 0.0132059i) q^{85} +(-2.30240 + 2.55708i) q^{86} +(-1.22432 + 0.378449i) q^{87} +(-4.81790 - 5.35082i) q^{88} +(3.29985 + 10.1559i) q^{89} +(1.97025 - 2.19076i) q^{90} +(3.52124 - 10.8373i) q^{91} +(-4.52172 + 2.01320i) q^{92} +(-4.77702 + 0.432802i) q^{93} +(0.0227655 - 0.216599i) q^{94} +(-13.2588 + 0.388827i) q^{95} +(-6.00888 + 5.25610i) q^{96} +(1.65739 + 15.7690i) q^{97} +(0.521922 + 1.60631i) q^{98} +(-12.7075 + 2.32167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.429627 + 0.0913200i 0.303792 + 0.0645730i 0.357286 0.933995i \(-0.383702\pi\)
−0.0534935 + 0.998568i \(0.517036\pi\)
\(3\) 0.335739 + 1.69920i 0.193839 + 0.981033i
\(4\) −1.65085 0.735006i −0.825426 0.367503i
\(5\) −1.76971 + 1.36679i −0.791439 + 0.611248i
\(6\) −0.0109284 + 0.760681i −0.00446152 + 0.310547i
\(7\) −0.888066 + 1.53818i −0.335657 + 0.581376i −0.983611 0.180304i \(-0.942292\pi\)
0.647953 + 0.761680i \(0.275625\pi\)
\(8\) −1.35281 0.982874i −0.478290 0.347498i
\(9\) −2.77456 + 1.14098i −0.924853 + 0.380325i
\(10\) −0.885131 + 0.425600i −0.279903 + 0.134587i
\(11\) 4.21184 + 0.895255i 1.26992 + 0.269929i 0.793110 0.609078i \(-0.208460\pi\)
0.476808 + 0.879008i \(0.341794\pi\)
\(12\) 0.694667 3.05190i 0.200533 0.881006i
\(13\) −6.27541 + 1.33388i −1.74049 + 0.369952i −0.965171 0.261622i \(-0.915743\pi\)
−0.775316 + 0.631573i \(0.782409\pi\)
\(14\) −0.522003 + 0.579743i −0.139511 + 0.154943i
\(15\) −2.91661 2.54821i −0.753066 0.657945i
\(16\) 1.92690 + 2.14004i 0.481725 + 0.535010i
\(17\) 0.162997 + 0.118424i 0.0395325 + 0.0287220i 0.607376 0.794414i \(-0.292222\pi\)
−0.567844 + 0.823137i \(0.692222\pi\)
\(18\) −1.29622 + 0.236821i −0.305522 + 0.0558192i
\(19\) 4.79916 + 3.48679i 1.10100 + 0.799925i 0.981223 0.192875i \(-0.0617813\pi\)
0.119779 + 0.992801i \(0.461781\pi\)
\(20\) 3.92613 0.955619i 0.877910 0.213683i
\(21\) −2.91183 0.992576i −0.635413 0.216598i
\(22\) 1.72777 + 0.769251i 0.368361 + 0.164005i
\(23\) 1.83276 2.03549i 0.382158 0.424429i −0.521122 0.853483i \(-0.674486\pi\)
0.903279 + 0.429054i \(0.141153\pi\)
\(24\) 1.21591 2.62868i 0.248196 0.536578i
\(25\) 1.26376 4.83765i 0.252753 0.967531i
\(26\) −2.81790 −0.552635
\(27\) −2.87027 4.33146i −0.552384 0.833590i
\(28\) 2.59663 1.88657i 0.490718 0.356527i
\(29\) 0.0773364 + 0.735807i 0.0143610 + 0.136636i 0.999353 0.0359636i \(-0.0114500\pi\)
−0.984992 + 0.172599i \(0.944783\pi\)
\(30\) −1.02035 1.36112i −0.186290 0.248506i
\(31\) −0.289472 + 2.75414i −0.0519906 + 0.494658i 0.937281 + 0.348573i \(0.113334\pi\)
−0.989272 + 0.146084i \(0.953333\pi\)
\(32\) 2.30458 + 3.99166i 0.407397 + 0.705632i
\(33\) −0.107137 + 7.45733i −0.0186501 + 1.29815i
\(34\) 0.0592133 + 0.0657630i 0.0101550 + 0.0112783i
\(35\) −0.530743 3.93593i −0.0897120 0.665294i
\(36\) 5.41901 + 0.155738i 0.903168 + 0.0259563i
\(37\) −1.36941 + 4.21461i −0.225129 + 0.692877i 0.773149 + 0.634224i \(0.218680\pi\)
−0.998278 + 0.0586526i \(0.981320\pi\)
\(38\) 1.74343 + 1.93628i 0.282822 + 0.314106i
\(39\) −4.37343 10.2153i −0.700309 1.63576i
\(40\) 3.73747 0.109604i 0.590945 0.0173300i
\(41\) 12.3006 2.61458i 1.92103 0.408328i 0.921219 0.389045i \(-0.127195\pi\)
0.999814 0.0192831i \(-0.00613837\pi\)
\(42\) −1.16036 0.692345i −0.179047 0.106831i
\(43\) −3.91700 + 6.78444i −0.597336 + 1.03462i 0.395876 + 0.918304i \(0.370441\pi\)
−0.993213 + 0.116313i \(0.962892\pi\)
\(44\) −6.29511 4.57366i −0.949023 0.689506i
\(45\) 3.35070 5.81144i 0.499492 0.866318i
\(46\) 0.973285 0.707133i 0.143503 0.104261i
\(47\) −0.0518311 0.493140i −0.00756034 0.0719318i 0.990091 0.140426i \(-0.0448472\pi\)
−0.997652 + 0.0684942i \(0.978181\pi\)
\(48\) −2.98942 + 3.99268i −0.431485 + 0.576294i
\(49\) 1.92268 + 3.33017i 0.274668 + 0.475739i
\(50\) 0.984721 1.96298i 0.139261 0.277607i
\(51\) −0.146502 + 0.316724i −0.0205143 + 0.0443502i
\(52\) 11.3402 + 2.41043i 1.57260 + 0.334267i
\(53\) 5.99398 4.35488i 0.823336 0.598189i −0.0943302 0.995541i \(-0.530071\pi\)
0.917666 + 0.397352i \(0.130071\pi\)
\(54\) −0.837597 2.12302i −0.113982 0.288907i
\(55\) −8.67738 + 4.17236i −1.17006 + 0.562602i
\(56\) 2.71322 1.20800i 0.362569 0.161426i
\(57\) −4.31349 + 9.32538i −0.571336 + 1.23518i
\(58\) −0.0339681 + 0.323185i −0.00446023 + 0.0424362i
\(59\) −9.52123 + 2.02380i −1.23956 + 0.263476i −0.780628 0.624996i \(-0.785101\pi\)
−0.458931 + 0.888472i \(0.651767\pi\)
\(60\) 2.94194 + 6.35044i 0.379803 + 0.819839i
\(61\) −9.51841 2.02320i −1.21871 0.259044i −0.446715 0.894676i \(-0.647406\pi\)
−0.771992 + 0.635632i \(0.780740\pi\)
\(62\) −0.375873 + 1.15682i −0.0477359 + 0.146916i
\(63\) 0.708972 5.28102i 0.0893220 0.665346i
\(64\) −1.15416 3.55215i −0.144270 0.444019i
\(65\) 9.28254 10.9378i 1.15136 1.35666i
\(66\) −0.727032 + 3.19409i −0.0894915 + 0.393165i
\(67\) −0.0149037 + 0.141799i −0.00182077 + 0.0173235i −0.995395 0.0958627i \(-0.969439\pi\)
0.993574 + 0.113186i \(0.0361057\pi\)
\(68\) −0.182041 0.315304i −0.0220757 0.0382362i
\(69\) 4.07403 + 2.43084i 0.490456 + 0.292638i
\(70\) 0.131408 1.73945i 0.0157062 0.207904i
\(71\) 1.95406 1.41971i 0.231905 0.168489i −0.465764 0.884909i \(-0.654221\pi\)
0.697669 + 0.716420i \(0.254221\pi\)
\(72\) 4.87488 + 1.18352i 0.574511 + 0.139479i
\(73\) −0.860848 2.64942i −0.100755 0.310091i 0.887956 0.459928i \(-0.152125\pi\)
−0.988711 + 0.149837i \(0.952125\pi\)
\(74\) −0.973212 + 1.68565i −0.113134 + 0.195953i
\(75\) 8.64444 + 0.523199i 0.998173 + 0.0604138i
\(76\) −5.35988 9.28359i −0.614821 1.06490i
\(77\) −5.11745 + 5.68351i −0.583188 + 0.647696i
\(78\) −0.946077 4.78817i −0.107122 0.542153i
\(79\) −1.34516 12.7983i −0.151342 1.43993i −0.761767 0.647851i \(-0.775668\pi\)
0.610425 0.792074i \(-0.290999\pi\)
\(80\) −6.33505 1.15358i −0.708280 0.128975i
\(81\) 6.39635 6.33140i 0.710706 0.703489i
\(82\) 5.52343 0.609961
\(83\) 3.13799 1.39712i 0.344439 0.153354i −0.227224 0.973842i \(-0.572965\pi\)
0.571663 + 0.820488i \(0.306298\pi\)
\(84\) 4.07744 + 3.77881i 0.444885 + 0.412302i
\(85\) −0.450318 + 0.0132059i −0.0488439 + 0.00143239i
\(86\) −2.30240 + 2.55708i −0.248274 + 0.275737i
\(87\) −1.22432 + 0.378449i −0.131261 + 0.0405740i
\(88\) −4.81790 5.35082i −0.513590 0.570399i
\(89\) 3.29985 + 10.1559i 0.349784 + 1.07652i 0.958973 + 0.283499i \(0.0914952\pi\)
−0.609189 + 0.793025i \(0.708505\pi\)
\(90\) 1.97025 2.19076i 0.207683 0.230927i
\(91\) 3.52124 10.8373i 0.369126 1.13605i
\(92\) −4.52172 + 2.01320i −0.471422 + 0.209890i
\(93\) −4.77702 + 0.432802i −0.495354 + 0.0448794i
\(94\) 0.0227655 0.216599i 0.00234808 0.0223405i
\(95\) −13.2588 + 0.388827i −1.36033 + 0.0398928i
\(96\) −6.00888 + 5.25610i −0.613279 + 0.536449i
\(97\) 1.65739 + 15.7690i 0.168283 + 1.60110i 0.674219 + 0.738531i \(0.264480\pi\)
−0.505936 + 0.862571i \(0.668853\pi\)
\(98\) 0.521922 + 1.60631i 0.0527221 + 0.162262i
\(99\) −12.7075 + 2.32167i −1.27715 + 0.233337i
\(100\) −5.64199 + 7.05737i −0.564199 + 0.705737i
\(101\) −5.03293 + 8.71729i −0.500795 + 0.867403i 0.499204 + 0.866484i \(0.333626\pi\)
−1.00000 0.000918779i \(0.999708\pi\)
\(102\) −0.0918642 + 0.122694i −0.00909592 + 0.0121486i
\(103\) 4.55818 + 2.02943i 0.449131 + 0.199966i 0.618822 0.785531i \(-0.287610\pi\)
−0.169691 + 0.985497i \(0.554277\pi\)
\(104\) 9.80048 + 4.36345i 0.961016 + 0.427872i
\(105\) 6.50974 2.22328i 0.635286 0.216970i
\(106\) 2.97286 1.32360i 0.288750 0.128560i
\(107\) −7.10081 −0.686461 −0.343230 0.939251i \(-0.611521\pi\)
−0.343230 + 0.939251i \(0.611521\pi\)
\(108\) 1.55474 + 9.26026i 0.149605 + 0.891069i
\(109\) 0.177831 0.547308i 0.0170331 0.0524226i −0.942179 0.335111i \(-0.891226\pi\)
0.959212 + 0.282688i \(0.0912262\pi\)
\(110\) −4.10905 + 1.00014i −0.391783 + 0.0953598i
\(111\) −7.62122 0.911891i −0.723374 0.0865529i
\(112\) −5.00297 + 1.06341i −0.472736 + 0.100483i
\(113\) 0.268332 0.0570356i 0.0252425 0.00536546i −0.195273 0.980749i \(-0.562559\pi\)
0.220516 + 0.975383i \(0.429226\pi\)
\(114\) −2.70479 + 3.61252i −0.253326 + 0.338344i
\(115\) −0.461375 + 6.10724i −0.0430234 + 0.569503i
\(116\) 0.413152 1.27155i 0.0383602 0.118060i
\(117\) 15.8896 10.8610i 1.46899 1.00410i
\(118\) −4.27539 −0.393581
\(119\) −0.326909 + 0.145549i −0.0299677 + 0.0133425i
\(120\) 1.44105 + 6.31390i 0.131550 + 0.576378i
\(121\) 6.88913 + 3.06724i 0.626285 + 0.278840i
\(122\) −3.90460 1.73844i −0.353506 0.157391i
\(123\) 8.57248 + 20.0234i 0.772955 + 1.80545i
\(124\) 2.50218 4.33391i 0.224703 0.389196i
\(125\) 4.37556 + 10.2886i 0.391362 + 0.920237i
\(126\) 0.786856 2.20412i 0.0700987 0.196359i
\(127\) 0.765000 + 2.35443i 0.0678828 + 0.208922i 0.979244 0.202687i \(-0.0649672\pi\)
−0.911361 + 0.411608i \(0.864967\pi\)
\(128\) −1.13506 10.7993i −0.100326 0.954535i
\(129\) −12.8432 4.37796i −1.13078 0.385458i
\(130\) 4.98686 3.85147i 0.437377 0.337797i
\(131\) −0.120783 + 1.14917i −0.0105528 + 0.100403i −0.998530 0.0541935i \(-0.982741\pi\)
0.987978 + 0.154597i \(0.0494079\pi\)
\(132\) 5.65805 12.2322i 0.492470 1.06468i
\(133\) −9.62527 + 4.28545i −0.834617 + 0.371595i
\(134\) −0.0193521 + 0.0595597i −0.00167177 + 0.00514517i
\(135\) 10.9998 + 3.74238i 0.946708 + 0.322092i
\(136\) −0.104108 0.320410i −0.00892716 0.0274750i
\(137\) −5.64765 6.27235i −0.482511 0.535883i 0.451905 0.892066i \(-0.350745\pi\)
−0.934416 + 0.356183i \(0.884078\pi\)
\(138\) 1.52833 + 1.41639i 0.130100 + 0.120571i
\(139\) 2.33243 2.59043i 0.197835 0.219718i −0.636063 0.771638i \(-0.719438\pi\)
0.833897 + 0.551920i \(0.186105\pi\)
\(140\) −2.01676 + 6.88773i −0.170447 + 0.582120i
\(141\) 0.820541 0.253638i 0.0691020 0.0213601i
\(142\) 0.969166 0.431501i 0.0813306 0.0362107i
\(143\) −27.6252 −2.31014
\(144\) −7.78803 3.73912i −0.649002 0.311593i
\(145\) −1.14256 1.19646i −0.0948842 0.0993609i
\(146\) −0.127899 1.21687i −0.0105850 0.100709i
\(147\) −5.01311 + 4.38508i −0.413475 + 0.361675i
\(148\) 5.35845 5.95116i 0.440462 0.489183i
\(149\) 6.94885 + 12.0358i 0.569272 + 0.986008i 0.996638 + 0.0819294i \(0.0261082\pi\)
−0.427366 + 0.904079i \(0.640558\pi\)
\(150\) 3.66610 + 1.01419i 0.299336 + 0.0828083i
\(151\) 2.35078 4.07166i 0.191303 0.331347i −0.754379 0.656439i \(-0.772062\pi\)
0.945682 + 0.325092i \(0.105395\pi\)
\(152\) −3.06527 9.43393i −0.248626 0.765193i
\(153\) −0.587363 0.142599i −0.0474855 0.0115285i
\(154\) −2.71761 + 1.97446i −0.218991 + 0.159107i
\(155\) −3.25205 5.26968i −0.261211 0.423271i
\(156\) −0.288461 + 20.0785i −0.0230954 + 1.60757i
\(157\) −4.75661 8.23869i −0.379619 0.657519i 0.611388 0.791331i \(-0.290611\pi\)
−0.991007 + 0.133812i \(0.957278\pi\)
\(158\) 0.590827 5.62135i 0.0470037 0.447210i
\(159\) 9.41222 + 8.72286i 0.746438 + 0.691768i
\(160\) −9.53421 3.91420i −0.753746 0.309445i
\(161\) 1.50333 + 4.62676i 0.118479 + 0.364640i
\(162\) 3.32623 2.13603i 0.261333 0.167822i
\(163\) 2.56478 7.89358i 0.200889 0.618273i −0.798968 0.601373i \(-0.794620\pi\)
0.999857 0.0168995i \(-0.00537954\pi\)
\(164\) −22.2282 4.72475i −1.73573 0.368941i
\(165\) −10.0030 13.3438i −0.778734 1.03881i
\(166\) 1.47575 0.313680i 0.114540 0.0243463i
\(167\) −1.49105 + 14.1864i −0.115381 + 1.09778i 0.771643 + 0.636056i \(0.219435\pi\)
−0.887024 + 0.461723i \(0.847231\pi\)
\(168\) 2.96357 + 4.20472i 0.228644 + 0.324402i
\(169\) 25.7255 11.4537i 1.97888 0.881056i
\(170\) −0.194675 0.0354494i −0.0149309 0.00271885i
\(171\) −17.2939 4.19859i −1.32250 0.321074i
\(172\) 11.4530 8.32108i 0.873282 0.634476i
\(173\) 21.1259 + 4.49046i 1.60618 + 0.341403i 0.921782 0.387709i \(-0.126734\pi\)
0.684394 + 0.729113i \(0.260067\pi\)
\(174\) −0.560560 + 0.0507871i −0.0424959 + 0.00385016i
\(175\) 6.31886 + 6.24005i 0.477661 + 0.471703i
\(176\) 6.19992 + 10.7386i 0.467336 + 0.809450i
\(177\) −6.63549 15.4990i −0.498754 1.16498i
\(178\) 0.490268 + 4.66459i 0.0367472 + 0.349626i
\(179\) 15.0286 10.9189i 1.12329 0.816116i 0.138583 0.990351i \(-0.455745\pi\)
0.984704 + 0.174235i \(0.0557452\pi\)
\(180\) −9.80295 + 7.13104i −0.730668 + 0.531516i
\(181\) 1.04274 + 0.757596i 0.0775063 + 0.0563116i 0.625864 0.779932i \(-0.284747\pi\)
−0.548357 + 0.836244i \(0.684747\pi\)
\(182\) 2.50248 4.33442i 0.185496 0.321288i
\(183\) 0.242120 16.8529i 0.0178980 1.24581i
\(184\) −4.48001 + 0.952255i −0.330271 + 0.0702012i
\(185\) −3.33703 9.33034i −0.245343 0.685980i
\(186\) −2.09186 0.250294i −0.153382 0.0183524i
\(187\) 0.580497 + 0.644707i 0.0424501 + 0.0471456i
\(188\) −0.276895 + 0.852196i −0.0201947 + 0.0621528i
\(189\) 9.21154 0.568360i 0.670041 0.0413421i
\(190\) −5.73186 1.04375i −0.415833 0.0757214i
\(191\) −1.03713 1.15185i −0.0750443 0.0833452i 0.704453 0.709750i \(-0.251192\pi\)
−0.779498 + 0.626405i \(0.784526\pi\)
\(192\) 5.64832 3.15375i 0.407632 0.227602i
\(193\) −5.73764 9.93788i −0.413004 0.715344i 0.582212 0.813037i \(-0.302187\pi\)
−0.995217 + 0.0976925i \(0.968854\pi\)
\(194\) −0.727968 + 6.92615i −0.0522650 + 0.497269i
\(195\) 21.7020 + 12.1007i 1.55411 + 0.866546i
\(196\) −0.726354 6.91080i −0.0518825 0.493629i
\(197\) 18.5783 13.4979i 1.32365 0.961687i 0.323770 0.946136i \(-0.395050\pi\)
0.999879 0.0155518i \(-0.00495048\pi\)
\(198\) −5.67148 0.162994i −0.403055 0.0115835i
\(199\) −4.17299 −0.295816 −0.147908 0.989001i \(-0.547254\pi\)
−0.147908 + 0.989001i \(0.547254\pi\)
\(200\) −6.46444 + 5.30231i −0.457105 + 0.374930i
\(201\) −0.245949 + 0.0222831i −0.0173479 + 0.00157173i
\(202\) −2.95835 + 3.28558i −0.208148 + 0.231172i
\(203\) −1.20048 0.534488i −0.0842572 0.0375137i
\(204\) 0.474646 0.415184i 0.0332319 0.0290687i
\(205\) −18.1950 + 21.4394i −1.27079 + 1.49739i
\(206\) 1.77299 + 1.28815i 0.123530 + 0.0897497i
\(207\) −2.76267 + 7.73872i −0.192019 + 0.537878i
\(208\) −14.9466 10.8594i −1.03636 0.752962i
\(209\) 17.0917 + 18.9823i 1.18226 + 1.31303i
\(210\) 2.99979 0.360713i 0.207005 0.0248915i
\(211\) 1.89620 2.10594i 0.130540 0.144979i −0.674331 0.738429i \(-0.735568\pi\)
0.804871 + 0.593450i \(0.202235\pi\)
\(212\) −13.0960 + 2.78365i −0.899439 + 0.191182i
\(213\) 3.06843 + 2.84369i 0.210245 + 0.194847i
\(214\) −3.05070 0.648445i −0.208541 0.0443268i
\(215\) −2.34095 17.3602i −0.159652 1.18396i
\(216\) −0.374346 + 8.68076i −0.0254710 + 0.590651i
\(217\) −3.97928 2.89112i −0.270131 0.196262i
\(218\) 0.126381 0.218899i 0.00855962 0.0148257i
\(219\) 4.21287 2.35227i 0.284679 0.158951i
\(220\) 17.3918 0.510028i 1.17255 0.0343861i
\(221\) −1.18084 0.525742i −0.0794316 0.0353652i
\(222\) −3.19101 1.08774i −0.214166 0.0730045i
\(223\) 20.2866 + 4.31206i 1.35849 + 0.288757i 0.828853 0.559466i \(-0.188994\pi\)
0.529640 + 0.848223i \(0.322327\pi\)
\(224\) −8.18649 −0.546983
\(225\) 2.01325 + 14.8643i 0.134217 + 0.990952i
\(226\) 0.120491 0.00801494
\(227\) 1.31980 + 0.280531i 0.0875979 + 0.0186195i 0.251502 0.967857i \(-0.419075\pi\)
−0.163904 + 0.986476i \(0.552409\pi\)
\(228\) 13.9751 12.2244i 0.925527 0.809579i
\(229\) 23.4640 + 10.4468i 1.55054 + 0.690346i 0.990423 0.138066i \(-0.0440886\pi\)
0.560119 + 0.828412i \(0.310755\pi\)
\(230\) −0.755932 + 2.58170i −0.0498447 + 0.170232i
\(231\) −11.3755 6.78740i −0.748456 0.446578i
\(232\) 0.618584 1.07142i 0.0406120 0.0703421i
\(233\) 12.2726 + 8.91660i 0.804008 + 0.584146i 0.912087 0.409996i \(-0.134470\pi\)
−0.108079 + 0.994142i \(0.534470\pi\)
\(234\) 7.81842 3.21515i 0.511106 0.210181i
\(235\) 0.765745 + 0.801873i 0.0499517 + 0.0523084i
\(236\) 17.2056 + 3.65717i 1.11999 + 0.238062i
\(237\) 21.2953 6.58259i 1.38328 0.427585i
\(238\) −0.153740 + 0.0326785i −0.00996551 + 0.00211823i
\(239\) 9.37451 10.4114i 0.606387 0.673460i −0.359285 0.933228i \(-0.616979\pi\)
0.965671 + 0.259768i \(0.0836459\pi\)
\(240\) −0.166752 11.1518i −0.0107638 0.719846i
\(241\) −15.0558 16.7211i −0.969827 1.07710i −0.996995 0.0774711i \(-0.975315\pi\)
0.0271676 0.999631i \(-0.491351\pi\)
\(242\) 2.67966 + 1.94688i 0.172255 + 0.125150i
\(243\) 12.9058 + 8.74298i 0.827909 + 0.560862i
\(244\) 14.2264 + 10.3361i 0.910752 + 0.661700i
\(245\) −7.95424 3.26555i −0.508178 0.208628i
\(246\) 1.85443 + 9.38542i 0.118234 + 0.598392i
\(247\) −34.7677 15.4796i −2.21221 0.984941i
\(248\) 3.09857 3.44131i 0.196759 0.218523i
\(249\) 3.42754 + 4.86300i 0.217211 + 0.308180i
\(250\) 0.940308 + 4.81982i 0.0594703 + 0.304832i
\(251\) 0.464195 0.0292997 0.0146499 0.999893i \(-0.495337\pi\)
0.0146499 + 0.999893i \(0.495337\pi\)
\(252\) −5.05199 + 8.19708i −0.318245 + 0.516368i
\(253\) 9.54159 6.93237i 0.599875 0.435834i
\(254\) 0.113658 + 1.08138i 0.00713154 + 0.0678521i
\(255\) −0.173629 0.760747i −0.0108731 0.0476398i
\(256\) −0.282273 + 2.68565i −0.0176421 + 0.167853i
\(257\) −13.5014 23.3852i −0.842197 1.45873i −0.888034 0.459779i \(-0.847929\pi\)
0.0458368 0.998949i \(-0.485405\pi\)
\(258\) −5.11799 3.05373i −0.318632 0.190117i
\(259\) −5.26668 5.84924i −0.327256 0.363454i
\(260\) −23.3634 + 11.2339i −1.44894 + 0.696696i
\(261\) −1.05411 1.95330i −0.0652479 0.120906i
\(262\) −0.156834 + 0.482684i −0.00968921 + 0.0298203i
\(263\) −5.71087 6.34256i −0.352147 0.391099i 0.540881 0.841099i \(-0.318091\pi\)
−0.893029 + 0.450000i \(0.851424\pi\)
\(264\) 7.47455 9.98305i 0.460027 0.614414i
\(265\) −4.65540 + 15.8994i −0.285979 + 0.976692i
\(266\) −4.52662 + 0.962163i −0.277545 + 0.0589940i
\(267\) −16.1490 + 9.01684i −0.988304 + 0.551822i
\(268\) 0.128827 0.223135i 0.00786936 0.0136301i
\(269\) 0.950788 + 0.690788i 0.0579706 + 0.0421181i 0.616393 0.787439i \(-0.288593\pi\)
−0.558423 + 0.829557i \(0.688593\pi\)
\(270\) 4.38404 + 2.61232i 0.266804 + 0.158981i
\(271\) 6.66331 4.84118i 0.404767 0.294081i −0.366713 0.930334i \(-0.619517\pi\)
0.771480 + 0.636254i \(0.219517\pi\)
\(272\) 0.0606463 + 0.577011i 0.00367722 + 0.0349864i
\(273\) 19.5969 + 2.34480i 1.18606 + 0.141914i
\(274\) −1.85359 3.21051i −0.111979 0.193954i
\(275\) 9.65371 19.2440i 0.582141 1.16046i
\(276\) −4.93894 7.00739i −0.297289 0.421795i
\(277\) 9.21967 + 1.95970i 0.553956 + 0.117747i 0.476380 0.879239i \(-0.341949\pi\)
0.0775761 + 0.996986i \(0.475282\pi\)
\(278\) 1.23863 0.899921i 0.0742884 0.0539737i
\(279\) −2.33925 7.97180i −0.140047 0.477259i
\(280\) −3.15053 + 5.84622i −0.188280 + 0.349378i
\(281\) −13.7868 + 6.13830i −0.822454 + 0.366180i −0.774425 0.632666i \(-0.781961\pi\)
−0.0480290 + 0.998846i \(0.515294\pi\)
\(282\) 0.375689 0.0340377i 0.0223719 0.00202691i
\(283\) −2.43859 + 23.2016i −0.144959 + 1.37919i 0.644131 + 0.764915i \(0.277219\pi\)
−0.789090 + 0.614278i \(0.789448\pi\)
\(284\) −4.26937 + 0.907482i −0.253340 + 0.0538491i
\(285\) −5.11221 22.3989i −0.302821 1.32680i
\(286\) −11.8685 2.52273i −0.701801 0.149172i
\(287\) −6.90208 + 21.2424i −0.407417 + 1.25390i
\(288\) −10.9486 8.44561i −0.645152 0.497663i
\(289\) −5.24075 16.1294i −0.308279 0.948786i
\(290\) −0.381612 0.618371i −0.0224090 0.0363120i
\(291\) −26.2383 + 8.11052i −1.53811 + 0.475447i
\(292\) −0.526207 + 5.00653i −0.0307939 + 0.292985i
\(293\) 4.27487 + 7.40429i 0.249740 + 0.432563i 0.963454 0.267875i \(-0.0863214\pi\)
−0.713713 + 0.700438i \(0.752988\pi\)
\(294\) −2.55421 + 1.42615i −0.148965 + 0.0831748i
\(295\) 14.0837 16.5951i 0.819986 0.966203i
\(296\) 5.99498 4.35560i 0.348451 0.253164i
\(297\) −8.21137 20.8130i −0.476472 1.20770i
\(298\) 1.88631 + 5.80545i 0.109271 + 0.336301i
\(299\) −8.78625 + 15.2182i −0.508122 + 0.880093i
\(300\) −13.8861 7.21744i −0.801716 0.416699i
\(301\) −6.95711 12.0501i −0.401001 0.694554i
\(302\) 1.38178 1.53462i 0.0795125 0.0883076i
\(303\) −16.5022 5.62522i −0.948025 0.323161i
\(304\) 1.78562 + 16.9891i 0.102413 + 0.974391i
\(305\) 19.6101 9.42919i 1.12287 0.539914i
\(306\) −0.239325 0.114902i −0.0136813 0.00656853i
\(307\) 20.4968 1.16981 0.584907 0.811101i \(-0.301131\pi\)
0.584907 + 0.811101i \(0.301131\pi\)
\(308\) 12.6256 5.62127i 0.719409 0.320301i
\(309\) −1.91805 + 8.42661i −0.109114 + 0.479373i
\(310\) −0.915941 2.56097i −0.0520219 0.145453i
\(311\) 0.791719 0.879293i 0.0448943 0.0498601i −0.720279 0.693684i \(-0.755986\pi\)
0.765174 + 0.643824i \(0.222653\pi\)
\(312\) −4.12398 + 18.1179i −0.233474 + 1.02573i
\(313\) 9.93394 + 11.0328i 0.561500 + 0.623609i 0.955318 0.295580i \(-0.0955128\pi\)
−0.393818 + 0.919188i \(0.628846\pi\)
\(314\) −1.29121 3.97393i −0.0728672 0.224262i
\(315\) 5.96338 + 10.3149i 0.335998 + 0.581179i
\(316\) −7.18620 + 22.1168i −0.404255 + 1.24417i
\(317\) −0.319419 + 0.142214i −0.0179404 + 0.00798756i −0.415687 0.909508i \(-0.636459\pi\)
0.397747 + 0.917495i \(0.369792\pi\)
\(318\) 3.24717 + 4.60710i 0.182092 + 0.258353i
\(319\) −0.333006 + 3.16834i −0.0186447 + 0.177393i
\(320\) 6.89759 + 4.70878i 0.385587 + 0.263229i
\(321\) −2.38402 12.0657i −0.133063 0.673441i
\(322\) 0.223353 + 2.12506i 0.0124470 + 0.118425i
\(323\) 0.369327 + 1.13667i 0.0205499 + 0.0632461i
\(324\) −15.2130 + 5.75085i −0.845169 + 0.319492i
\(325\) −1.47779 + 32.0440i −0.0819731 + 1.77748i
\(326\) 1.82274 3.15708i 0.100952 0.174854i
\(327\) 0.989691 + 0.118418i 0.0547300 + 0.00654853i
\(328\) −19.2102 8.55293i −1.06071 0.472256i
\(329\) 0.804565 + 0.358215i 0.0443571 + 0.0197491i
\(330\) −3.07901 6.64631i −0.169494 0.365868i
\(331\) −14.2383 + 6.33928i −0.782605 + 0.348438i −0.758838 0.651279i \(-0.774233\pi\)
−0.0237671 + 0.999718i \(0.507566\pi\)
\(332\) −6.20725 −0.340667
\(333\) −1.00926 13.2561i −0.0553069 0.726432i
\(334\) −1.93610 + 5.95871i −0.105939 + 0.326046i
\(335\) −0.167435 0.271314i −0.00914792 0.0148235i
\(336\) −3.48665 8.14402i −0.190212 0.444293i
\(337\) 20.5449 4.36696i 1.11915 0.237883i 0.389047 0.921218i \(-0.372804\pi\)
0.730106 + 0.683334i \(0.239471\pi\)
\(338\) 12.0983 2.57158i 0.658061 0.139875i
\(339\) 0.187004 + 0.436800i 0.0101567 + 0.0237237i
\(340\) 0.753115 + 0.309186i 0.0408434 + 0.0167679i
\(341\) −3.68486 + 11.3408i −0.199547 + 0.614141i
\(342\) −7.04650 3.38310i −0.381031 0.182937i
\(343\) −19.2628 −1.04009
\(344\) 11.9672 5.32814i 0.645228 0.287274i
\(345\) −10.5323 + 1.26647i −0.567041 + 0.0681844i
\(346\) 8.66620 + 3.85844i 0.465898 + 0.207431i
\(347\) 3.65328 + 1.62655i 0.196119 + 0.0873176i 0.502446 0.864609i \(-0.332434\pi\)
−0.306327 + 0.951926i \(0.599100\pi\)
\(348\) 2.29933 + 0.275118i 0.123257 + 0.0147479i
\(349\) −1.07056 + 1.85427i −0.0573059 + 0.0992567i −0.893255 0.449550i \(-0.851584\pi\)
0.835949 + 0.548807i \(0.184918\pi\)
\(350\) 2.14491 + 3.25793i 0.114650 + 0.174144i
\(351\) 23.7898 + 23.3531i 1.26981 + 1.24650i
\(352\) 6.13300 + 18.8754i 0.326890 + 1.00606i
\(353\) −1.18522 11.2766i −0.0630830 0.600194i −0.979706 0.200441i \(-0.935762\pi\)
0.916623 0.399753i \(-0.130904\pi\)
\(354\) −1.43541 7.26474i −0.0762914 0.386117i
\(355\) −1.51768 + 5.18328i −0.0805503 + 0.275100i
\(356\) 2.01709 19.1913i 0.106905 1.01714i
\(357\) −0.357073 0.506617i −0.0188983 0.0268130i
\(358\) 7.45378 3.31864i 0.393945 0.175395i
\(359\) −7.26044 + 22.3453i −0.383191 + 1.17934i 0.554593 + 0.832122i \(0.312874\pi\)
−0.937784 + 0.347219i \(0.887126\pi\)
\(360\) −10.2448 + 4.56846i −0.539947 + 0.240779i
\(361\) 5.00287 + 15.3973i 0.263309 + 0.810382i
\(362\) 0.378806 + 0.420706i 0.0199096 + 0.0221118i
\(363\) −2.89890 + 12.7358i −0.152153 + 0.668456i
\(364\) −13.7785 + 15.3026i −0.722190 + 0.802073i
\(365\) 5.14466 + 3.51211i 0.269284 + 0.183832i
\(366\) 1.64303 7.21836i 0.0858826 0.377310i
\(367\) −18.6193 + 8.28983i −0.971918 + 0.432726i −0.830374 0.557206i \(-0.811873\pi\)
−0.141544 + 0.989932i \(0.545207\pi\)
\(368\) 7.88758 0.411168
\(369\) −31.1456 + 21.2890i −1.62138 + 1.10826i
\(370\) −0.581630 4.31330i −0.0302375 0.224238i
\(371\) 1.37552 + 13.0872i 0.0714135 + 0.679454i
\(372\) 8.20426 + 2.79665i 0.425371 + 0.144999i
\(373\) −20.6426 + 22.9259i −1.06883 + 1.18706i −0.0872153 + 0.996189i \(0.527797\pi\)
−0.981616 + 0.190868i \(0.938870\pi\)
\(374\) 0.190522 + 0.329994i 0.00985167 + 0.0170636i
\(375\) −16.0133 + 10.8892i −0.826922 + 0.562317i
\(376\) −0.414576 + 0.718068i −0.0213801 + 0.0370315i
\(377\) −1.46680 4.51433i −0.0755439 0.232500i
\(378\) 4.00943 + 0.597015i 0.206223 + 0.0307071i
\(379\) −26.1852 + 19.0246i −1.34504 + 0.977230i −0.345800 + 0.938308i \(0.612392\pi\)
−0.999242 + 0.0389217i \(0.987608\pi\)
\(380\) 22.1742 + 9.10344i 1.13751 + 0.466997i
\(381\) −3.74380 + 2.09036i −0.191801 + 0.107092i
\(382\) −0.340393 0.589578i −0.0174160 0.0301654i
\(383\) 3.58734 34.1313i 0.183304 1.74403i −0.386540 0.922273i \(-0.626330\pi\)
0.569844 0.821753i \(-0.307004\pi\)
\(384\) 17.9691 5.55444i 0.916984 0.283449i
\(385\) 1.28825 17.0527i 0.0656555 0.869084i
\(386\) −1.55752 4.79354i −0.0792754 0.243985i
\(387\) 3.12706 23.2930i 0.158958 1.18405i
\(388\) 8.85423 27.2505i 0.449505 1.38344i
\(389\) −4.03437 0.857531i −0.204550 0.0434785i 0.104497 0.994525i \(-0.466677\pi\)
−0.309047 + 0.951047i \(0.600010\pi\)
\(390\) 8.21871 + 7.18059i 0.416170 + 0.363603i
\(391\) 0.539785 0.114735i 0.0272981 0.00580239i
\(392\) 0.672125 6.39484i 0.0339474 0.322988i
\(393\) −1.99322 + 0.180587i −0.100545 + 0.00910942i
\(394\) 9.21437 4.10250i 0.464213 0.206681i
\(395\) 19.8732 + 20.8108i 0.999929 + 1.04711i
\(396\) 22.6846 + 5.50734i 1.13994 + 0.276754i
\(397\) −15.7730 + 11.4597i −0.791622 + 0.575147i −0.908444 0.418006i \(-0.862729\pi\)
0.116822 + 0.993153i \(0.462729\pi\)
\(398\) −1.79283 0.381078i −0.0898664 0.0191017i
\(399\) −10.5134 14.9165i −0.526329 0.746757i
\(400\) 12.7879 6.61717i 0.639396 0.330859i
\(401\) −10.5037 18.1930i −0.524530 0.908513i −0.999592 0.0285608i \(-0.990908\pi\)
0.475062 0.879953i \(-0.342426\pi\)
\(402\) −0.107701 0.0128866i −0.00537164 0.000642725i
\(403\) −1.85714 17.6695i −0.0925106 0.880179i
\(404\) 14.7159 10.6917i 0.732143 0.531933i
\(405\) −2.66600 + 19.9472i −0.132474 + 0.991186i
\(406\) −0.466949 0.339258i −0.0231743 0.0168371i
\(407\) −9.54088 + 16.5253i −0.472924 + 0.819128i
\(408\) 0.509488 0.284474i 0.0252234 0.0140836i
\(409\) 6.64167 1.41173i 0.328409 0.0698055i −0.0407565 0.999169i \(-0.512977\pi\)
0.369166 + 0.929364i \(0.379643\pi\)
\(410\) −9.77489 + 7.54938i −0.482747 + 0.372837i
\(411\) 8.76184 11.7024i 0.432189 0.577234i
\(412\) −6.03323 6.70058i −0.297236 0.330114i
\(413\) 5.34252 16.4426i 0.262888 0.809087i
\(414\) −1.89362 + 3.07248i −0.0930661 + 0.151004i
\(415\) −3.64376 + 6.76148i −0.178865 + 0.331908i
\(416\) −19.7866 21.9753i −0.970118 1.07743i
\(417\) 5.18475 + 3.09356i 0.253898 + 0.151492i
\(418\) 5.60960 + 9.71612i 0.274375 + 0.475231i
\(419\) 3.50641 33.3613i 0.171299 1.62980i −0.484446 0.874821i \(-0.660979\pi\)
0.655745 0.754983i \(-0.272355\pi\)
\(420\) −12.3807 1.11439i −0.604118 0.0543766i
\(421\) 2.40764 + 22.9071i 0.117341 + 1.11643i 0.881757 + 0.471703i \(0.156361\pi\)
−0.764416 + 0.644723i \(0.776973\pi\)
\(422\) 1.00697 0.731609i 0.0490187 0.0356142i
\(423\) 0.706468 + 1.30911i 0.0343497 + 0.0636510i
\(424\) −12.3890 −0.601663
\(425\) 0.778884 0.638862i 0.0377814 0.0309893i
\(426\) 1.05859 + 1.50194i 0.0512890 + 0.0727690i
\(427\) 11.5650 12.8442i 0.559670 0.621577i
\(428\) 11.7224 + 5.21914i 0.566622 + 0.252277i
\(429\) −9.27486 46.9408i −0.447795 2.26632i
\(430\) 0.579600 7.67219i 0.0279508 0.369986i
\(431\) −15.8922 11.5463i −0.765498 0.556167i 0.135094 0.990833i \(-0.456866\pi\)
−0.900592 + 0.434666i \(0.856866\pi\)
\(432\) 3.73877 14.4888i 0.179881 0.697092i
\(433\) −1.24749 0.906354i −0.0599505 0.0435566i 0.557406 0.830240i \(-0.311797\pi\)
−0.617357 + 0.786683i \(0.711797\pi\)
\(434\) −1.44559 1.60549i −0.0693904 0.0770659i
\(435\) 1.64943 2.34313i 0.0790841 0.112345i
\(436\) −0.695848 + 0.772817i −0.0333251 + 0.0370112i
\(437\) 15.8931 3.37817i 0.760268 0.161600i
\(438\) 2.02477 0.625877i 0.0967473 0.0299056i
\(439\) −3.38112 0.718679i −0.161372 0.0343007i 0.126517 0.991964i \(-0.459620\pi\)
−0.287889 + 0.957664i \(0.592953\pi\)
\(440\) 15.8397 + 2.88435i 0.755130 + 0.137506i
\(441\) −9.13422 7.04604i −0.434963 0.335526i
\(442\) −0.459308 0.333707i −0.0218470 0.0158728i
\(443\) −11.4007 + 19.7467i −0.541666 + 0.938193i 0.457143 + 0.889393i \(0.348873\pi\)
−0.998809 + 0.0487993i \(0.984461\pi\)
\(444\) 11.9113 + 7.10704i 0.565283 + 0.337285i
\(445\) −19.7208 13.4628i −0.934855 0.638199i
\(446\) 8.32190 + 3.70515i 0.394053 + 0.175444i
\(447\) −18.1182 + 15.8484i −0.856960 + 0.749602i
\(448\) 6.48881 + 1.37924i 0.306567 + 0.0651629i
\(449\) 19.8521 0.936876 0.468438 0.883496i \(-0.344817\pi\)
0.468438 + 0.883496i \(0.344817\pi\)
\(450\) −0.492458 + 6.56994i −0.0232147 + 0.309710i
\(451\) 54.1489 2.54977
\(452\) −0.484897 0.103068i −0.0228076 0.00484791i
\(453\) 7.70782 + 2.62742i 0.362145 + 0.123447i
\(454\) 0.541401 + 0.241047i 0.0254092 + 0.0113129i
\(455\) 8.58069 + 23.9916i 0.402269 + 1.12475i
\(456\) 15.0010 8.37585i 0.702486 0.392235i
\(457\) −3.84410 + 6.65818i −0.179820 + 0.311457i −0.941819 0.336122i \(-0.890885\pi\)
0.761999 + 0.647578i \(0.224218\pi\)
\(458\) 9.12674 + 6.63097i 0.426465 + 0.309845i
\(459\) 0.0451040 1.04592i 0.00210528 0.0488195i
\(460\) 5.25052 9.74302i 0.244807 0.454271i
\(461\) −5.32282 1.13140i −0.247908 0.0526945i 0.0822814 0.996609i \(-0.473779\pi\)
−0.330190 + 0.943915i \(0.607113\pi\)
\(462\) −4.26741 3.95486i −0.198538 0.183997i
\(463\) −5.77700 + 1.22794i −0.268480 + 0.0570672i −0.340184 0.940359i \(-0.610489\pi\)
0.0717044 + 0.997426i \(0.477156\pi\)
\(464\) −1.42564 + 1.58333i −0.0661835 + 0.0735042i
\(465\) 7.86240 7.29512i 0.364610 0.338303i
\(466\) 4.45839 + 4.95155i 0.206531 + 0.229376i
\(467\) 19.9403 + 14.4875i 0.922727 + 0.670400i 0.944201 0.329369i \(-0.106836\pi\)
−0.0214742 + 0.999769i \(0.506836\pi\)
\(468\) −34.2142 + 6.25099i −1.58155 + 0.288952i
\(469\) −0.204876 0.148851i −0.00946032 0.00687332i
\(470\) 0.255757 + 0.414434i 0.0117972 + 0.0191164i
\(471\) 12.4022 10.8485i 0.571463 0.499871i
\(472\) 14.8696 + 6.62035i 0.684427 + 0.304726i
\(473\) −22.5716 + 25.0683i −1.03784 + 1.15264i
\(474\) 9.75015 0.883372i 0.447839 0.0405746i
\(475\) 22.9329 18.8102i 1.05223 0.863070i
\(476\) 0.646657 0.0296395
\(477\) −11.6618 + 18.9218i −0.533959 + 0.866372i
\(478\) 4.97831 3.61696i 0.227703 0.165436i
\(479\) −1.66450 15.8366i −0.0760528 0.723594i −0.964405 0.264431i \(-0.914816\pi\)
0.888352 0.459163i \(-0.151851\pi\)
\(480\) 3.45000 17.5147i 0.157470 0.799432i
\(481\) 2.97182 28.2750i 0.135504 1.28923i
\(482\) −4.94139 8.55873i −0.225074 0.389840i
\(483\) −7.35707 + 4.10784i −0.334758 + 0.186913i
\(484\) −9.11849 10.1271i −0.414477 0.460323i
\(485\) −24.4861 25.6413i −1.11186 1.16431i
\(486\) 4.74628 + 4.93478i 0.215296 + 0.223846i
\(487\) 9.80003 30.1614i 0.444082 1.36674i −0.439406 0.898289i \(-0.644811\pi\)
0.883488 0.468454i \(-0.155189\pi\)
\(488\) 10.8880 + 12.0924i 0.492879 + 0.547397i
\(489\) 14.2739 + 1.70789i 0.645486 + 0.0772335i
\(490\) −3.11914 2.12935i −0.140908 0.0961942i
\(491\) 22.0949 4.69643i 0.997131 0.211947i 0.319689 0.947523i \(-0.396422\pi\)
0.677442 + 0.735576i \(0.263088\pi\)
\(492\) 0.565420 39.3564i 0.0254911 1.77433i
\(493\) −0.0745316 + 0.129093i −0.00335674 + 0.00581404i
\(494\) −13.5235 9.82542i −0.608452 0.442066i
\(495\) 19.3153 21.4771i 0.868159 0.965326i
\(496\) −6.45175 + 4.68747i −0.289692 + 0.210474i
\(497\) 0.448426 + 4.26649i 0.0201147 + 0.191378i
\(498\) 1.02847 + 2.40228i 0.0460869 + 0.107649i
\(499\) 9.74420 + 16.8775i 0.436210 + 0.755539i 0.997394 0.0721531i \(-0.0229870\pi\)
−0.561183 + 0.827692i \(0.689654\pi\)
\(500\) 0.338751 20.2009i 0.0151494 0.903414i
\(501\) −24.6062 + 2.22934i −1.09932 + 0.0995995i
\(502\) 0.199431 + 0.0423903i 0.00890102 + 0.00189197i
\(503\) −14.7866 + 10.7431i −0.659301 + 0.479010i −0.866427 0.499304i \(-0.833589\pi\)
0.207126 + 0.978314i \(0.433589\pi\)
\(504\) −6.14968 + 6.44739i −0.273929 + 0.287189i
\(505\) −3.00788 22.3061i −0.133849 0.992607i
\(506\) 4.73239 2.10699i 0.210380 0.0936673i
\(507\) 28.0992 + 39.8673i 1.24793 + 1.77057i
\(508\) 0.467618 4.44909i 0.0207472 0.197396i
\(509\) −22.0398 + 4.68470i −0.976895 + 0.207645i −0.668581 0.743639i \(-0.733098\pi\)
−0.308314 + 0.951285i \(0.599765\pi\)
\(510\) −0.00512424 0.342693i −0.000226905 0.0151747i
\(511\) 4.83976 + 1.02872i 0.214098 + 0.0455080i
\(512\) −7.07765 + 21.7828i −0.312791 + 0.962671i
\(513\) 1.32801 30.7954i 0.0586331 1.35965i
\(514\) −3.66505 11.2799i −0.161658 0.497533i
\(515\) −10.8405 + 2.63857i −0.477688 + 0.116269i
\(516\) 17.9844 + 16.6672i 0.791719 + 0.733732i
\(517\) 0.223181 2.12343i 0.00981550 0.0933883i
\(518\) −1.72855 2.99394i −0.0759483 0.131546i
\(519\) −0.537382 + 37.4048i −0.0235884 + 1.64189i
\(520\) −23.3080 + 5.67315i −1.02212 + 0.248784i
\(521\) −4.02702 + 2.92580i −0.176427 + 0.128182i −0.672494 0.740103i \(-0.734777\pi\)
0.496067 + 0.868284i \(0.334777\pi\)
\(522\) −0.274499 0.935452i −0.0120145 0.0409436i
\(523\) −0.936421 2.88201i −0.0409468 0.126021i 0.928493 0.371349i \(-0.121105\pi\)
−0.969440 + 0.245327i \(0.921105\pi\)
\(524\) 1.04404 1.80833i 0.0456091 0.0789973i
\(525\) −8.48160 + 12.8320i −0.370167 + 0.560036i
\(526\) −1.87434 3.24645i −0.0817251 0.141552i
\(527\) −0.373339 + 0.414635i −0.0162629 + 0.0180618i
\(528\) −16.1654 + 14.1403i −0.703510 + 0.615376i
\(529\) 1.61996 + 15.4129i 0.0704329 + 0.670124i
\(530\) −3.45202 + 6.40567i −0.149946 + 0.278245i
\(531\) 24.1081 16.4786i 1.04620 0.715112i
\(532\) 19.0397 0.825477
\(533\) −73.7039 + 32.8151i −3.19247 + 1.42138i
\(534\) −7.76147 + 2.39915i −0.335872 + 0.103821i
\(535\) 12.5664 9.70532i 0.543292 0.419598i
\(536\) 0.159532 0.177179i 0.00689075 0.00765296i
\(537\) 23.5990 + 21.8706i 1.01837 + 0.943787i
\(538\) 0.345401 + 0.383607i 0.0148913 + 0.0165385i
\(539\) 5.11666 + 15.7475i 0.220390 + 0.678291i
\(540\) −15.4083 14.2630i −0.663067 0.613782i
\(541\) −4.84376 + 14.9075i −0.208249 + 0.640925i 0.791315 + 0.611409i \(0.209397\pi\)
−0.999564 + 0.0295168i \(0.990603\pi\)
\(542\) 3.30483 1.47141i 0.141955 0.0632023i
\(543\) −0.937217 + 2.02618i −0.0402198 + 0.0869517i
\(544\) −0.0970685 + 0.923545i −0.00416178 + 0.0395967i
\(545\) 0.433346 + 1.21164i 0.0185625 + 0.0519008i
\(546\) 8.20522 + 2.79698i 0.351151 + 0.119700i
\(547\) 0.797793 + 7.59049i 0.0341112 + 0.324546i 0.998249 + 0.0591454i \(0.0188376\pi\)
−0.964138 + 0.265401i \(0.914496\pi\)
\(548\) 4.71321 + 14.5058i 0.201338 + 0.619656i
\(549\) 28.7178 5.24678i 1.22565 0.223927i
\(550\) 5.90486 7.38618i 0.251784 0.314948i
\(551\) −2.19446 + 3.80091i −0.0934870 + 0.161924i
\(552\) −3.12219 7.29272i −0.132889 0.310399i
\(553\) 20.8807 + 9.29668i 0.887937 + 0.395335i
\(554\) 3.78206 + 1.68388i 0.160684 + 0.0715412i
\(555\) 14.7337 8.80283i 0.625412 0.373659i
\(556\) −5.75449 + 2.56206i −0.244045 + 0.108656i
\(557\) 17.3196 0.733856 0.366928 0.930249i \(-0.380410\pi\)
0.366928 + 0.930249i \(0.380410\pi\)
\(558\) −0.277019 3.63852i −0.0117271 0.154031i
\(559\) 15.5311 47.8000i 0.656898 2.02172i
\(560\) 7.40036 8.71995i 0.312722 0.368485i
\(561\) −0.900590 + 1.20283i −0.0380230 + 0.0507836i
\(562\) −6.48374 + 1.37816i −0.273500 + 0.0581343i
\(563\) −25.2749 + 5.37236i −1.06521 + 0.226418i −0.706994 0.707220i \(-0.749949\pi\)
−0.358218 + 0.933638i \(0.616616\pi\)
\(564\) −1.54102 0.184385i −0.0648885 0.00776401i
\(565\) −0.396914 + 0.467690i −0.0166983 + 0.0196759i
\(566\) −3.16645 + 9.74534i −0.133096 + 0.409627i
\(567\) 4.05843 + 15.4614i 0.170438 + 0.649319i
\(568\) −4.03887 −0.169467
\(569\) −0.158490 + 0.0705645i −0.00664427 + 0.00295822i −0.410056 0.912060i \(-0.634491\pi\)
0.403412 + 0.915019i \(0.367824\pi\)
\(570\) −0.150875 10.0900i −0.00631944 0.422624i
\(571\) −22.4784 10.0080i −0.940693 0.418824i −0.121661 0.992572i \(-0.538822\pi\)
−0.819032 + 0.573748i \(0.805489\pi\)
\(572\) 45.6051 + 20.3047i 1.90685 + 0.848982i
\(573\) 1.60902 2.14902i 0.0672179 0.0897765i
\(574\) −4.90518 + 8.49601i −0.204738 + 0.354617i
\(575\) −7.53082 11.4387i −0.314057 0.477025i
\(576\) 7.25521 + 8.53878i 0.302300 + 0.355782i
\(577\) −8.78272 27.0304i −0.365629 1.12529i −0.949586 0.313506i \(-0.898496\pi\)
0.583957 0.811785i \(-0.301504\pi\)
\(578\) −0.778632 7.40819i −0.0323868 0.308140i
\(579\) 14.9601 13.0859i 0.621720 0.543832i
\(580\) 1.00678 + 2.81497i 0.0418044 + 0.116885i
\(581\) −0.637722 + 6.06752i −0.0264572 + 0.251723i
\(582\) −12.0133 + 1.08842i −0.497968 + 0.0451163i
\(583\) 29.1444 12.9759i 1.20704 0.537408i
\(584\) −1.43948 + 4.43027i −0.0595661 + 0.183326i
\(585\) −13.2752 + 40.9386i −0.548864 + 1.69260i
\(586\) 1.16044 + 3.57146i 0.0479373 + 0.147536i
\(587\) −8.62688 9.58112i −0.356070 0.395455i 0.538323 0.842739i \(-0.319058\pi\)
−0.894392 + 0.447284i \(0.852392\pi\)
\(588\) 11.4990 3.55445i 0.474209 0.146583i
\(589\) −10.9923 + 12.2082i −0.452931 + 0.503031i
\(590\) 7.56621 5.84356i 0.311496 0.240576i
\(591\) 29.1731 + 27.0365i 1.20002 + 1.11213i
\(592\) −11.6581 + 5.19054i −0.479146 + 0.213330i
\(593\) 27.5686 1.13211 0.566053 0.824369i \(-0.308470\pi\)
0.566053 + 0.824369i \(0.308470\pi\)
\(594\) −1.62718 9.69170i −0.0667639 0.397655i
\(595\) 0.379599 0.704396i 0.0155621 0.0288774i
\(596\) −2.62516 24.9767i −0.107531 1.02309i
\(597\) −1.40104 7.09075i −0.0573406 0.290205i
\(598\) −5.16454 + 5.73580i −0.211194 + 0.234554i
\(599\) −23.0932 39.9986i −0.943563 1.63430i −0.758604 0.651552i \(-0.774118\pi\)
−0.184958 0.982746i \(-0.559215\pi\)
\(600\) −11.1800 9.20418i −0.456423 0.375759i
\(601\) −20.7102 + 35.8711i −0.844787 + 1.46321i 0.0410187 + 0.999158i \(0.486940\pi\)
−0.885806 + 0.464056i \(0.846394\pi\)
\(602\) −1.88855 5.81235i −0.0769714 0.236894i
\(603\) −0.120438 0.410435i −0.00490462 0.0167142i
\(604\) −6.87348 + 4.99388i −0.279678 + 0.203198i
\(605\) −16.3841 + 3.98787i −0.666107 + 0.162130i
\(606\) −6.57608 3.92372i −0.267135 0.159390i
\(607\) −8.40346 14.5552i −0.341086 0.590778i 0.643549 0.765405i \(-0.277461\pi\)
−0.984635 + 0.174627i \(0.944128\pi\)
\(608\) −2.85802 + 27.1922i −0.115908 + 1.10279i
\(609\) 0.505154 2.21930i 0.0204699 0.0899307i
\(610\) 9.28611 2.26024i 0.375984 0.0915143i
\(611\) 0.983051 + 3.02552i 0.0397700 + 0.122399i
\(612\) 0.864837 + 0.667125i 0.0349590 + 0.0269669i
\(613\) −6.05434 + 18.6333i −0.244532 + 0.752593i 0.751181 + 0.660097i \(0.229485\pi\)
−0.995713 + 0.0924965i \(0.970515\pi\)
\(614\) 8.80597 + 1.87177i 0.355380 + 0.0755383i
\(615\) −42.5386 23.7188i −1.71532 0.956436i
\(616\) 12.5091 2.65889i 0.504007 0.107130i
\(617\) 0.681066 6.47991i 0.0274187 0.260871i −0.972222 0.234061i \(-0.924798\pi\)
0.999641 0.0268101i \(-0.00853495\pi\)
\(618\) −1.59356 + 3.44514i −0.0641026 + 0.138584i
\(619\) 34.1346 15.1977i 1.37199 0.610848i 0.417385 0.908730i \(-0.362947\pi\)
0.954603 + 0.297882i \(0.0962801\pi\)
\(620\) 1.49540 + 11.0897i 0.0600568 + 0.445374i
\(621\) −14.0772 2.09613i −0.564897 0.0841148i
\(622\) 0.420441 0.305468i 0.0168581 0.0122482i
\(623\) −18.5521 3.94336i −0.743273 0.157987i
\(624\) 13.4341 29.0433i 0.537793 1.16266i
\(625\) −21.8058 12.2273i −0.872232 0.489092i
\(626\) 3.26038 + 5.64714i 0.130311 + 0.225705i
\(627\) −26.5163 + 35.4154i −1.05896 + 1.41435i
\(628\) 1.79697 + 17.0970i 0.0717067 + 0.682244i
\(629\) −0.722320 + 0.524796i −0.0288008 + 0.0209250i
\(630\) 1.62007 + 4.97613i 0.0645451 + 0.198254i
\(631\) 10.2656 + 7.45836i 0.408665 + 0.296913i 0.773061 0.634331i \(-0.218725\pi\)
−0.364396 + 0.931244i \(0.618725\pi\)
\(632\) −10.7594 + 18.6358i −0.427986 + 0.741294i
\(633\) 4.21505 + 2.51498i 0.167533 + 0.0999613i
\(634\) −0.150218 + 0.0319298i −0.00596592 + 0.00126809i
\(635\) −4.57184 3.12106i −0.181428 0.123856i
\(636\) −9.12682 21.3182i −0.361902 0.845321i
\(637\) −16.5076 18.3336i −0.654057 0.726404i
\(638\) −0.432401 + 1.33079i −0.0171189 + 0.0526866i
\(639\) −3.80181 + 6.16861i −0.150397 + 0.244026i
\(640\) 16.7692 + 17.5603i 0.662859 + 0.694133i
\(641\) 5.72176 + 6.35466i 0.225996 + 0.250994i 0.845470 0.534024i \(-0.179321\pi\)
−0.619474 + 0.785017i \(0.712654\pi\)
\(642\) 0.0776007 5.40145i 0.00306266 0.213178i
\(643\) 4.36268 + 7.55638i 0.172047 + 0.297994i 0.939135 0.343547i \(-0.111629\pi\)
−0.767088 + 0.641542i \(0.778295\pi\)
\(644\) 0.918932 8.74305i 0.0362110 0.344524i
\(645\) 28.7125 9.80625i 1.13055 0.386121i
\(646\) 0.0548719 + 0.522071i 0.00215891 + 0.0205406i
\(647\) −0.0235532 + 0.0171124i −0.000925971 + 0.000672757i −0.588248 0.808680i \(-0.700182\pi\)
0.587322 + 0.809353i \(0.300182\pi\)
\(648\) −14.8760 + 2.27838i −0.584385 + 0.0895032i
\(649\) −41.9137 −1.64526
\(650\) −3.56116 + 13.6320i −0.139680 + 0.534691i
\(651\) 3.57658 7.73225i 0.140177 0.303051i
\(652\) −10.0359 + 11.1460i −0.393036 + 0.436511i
\(653\) 15.7626 + 7.01797i 0.616839 + 0.274634i 0.691275 0.722591i \(-0.257049\pi\)
−0.0744367 + 0.997226i \(0.523716\pi\)
\(654\) 0.414384 + 0.141254i 0.0162037 + 0.00552347i
\(655\) −1.35692 2.19878i −0.0530194 0.0859136i
\(656\) 29.2973 + 21.2858i 1.14387 + 0.831069i
\(657\) 5.41140 + 6.36876i 0.211119 + 0.248469i
\(658\) 0.312950 + 0.227372i 0.0122001 + 0.00886387i
\(659\) −25.1350 27.9153i −0.979122 1.08743i −0.996158 0.0875707i \(-0.972090\pi\)
0.0170360 0.999855i \(-0.494577\pi\)
\(660\) 6.70573 + 29.3809i 0.261020 + 1.14365i
\(661\) 33.5406 37.2506i 1.30458 1.44888i 0.486610 0.873619i \(-0.338233\pi\)
0.817969 0.575263i \(-0.195100\pi\)
\(662\) −6.69604 + 1.42329i −0.260249 + 0.0553176i
\(663\) 0.496888 2.18299i 0.0192975 0.0847802i
\(664\) −5.61830 1.19421i −0.218032 0.0463442i
\(665\) 11.1767 20.7397i 0.433412 0.804253i
\(666\) 0.776946 5.78735i 0.0301061 0.224255i
\(667\) 1.63947 + 1.19114i 0.0634804 + 0.0461212i
\(668\) 12.8886 22.3237i 0.498676 0.863732i
\(669\) −0.516032 + 35.9188i −0.0199510 + 1.38870i
\(670\) −0.0471580 0.131854i −0.00182187 0.00509396i
\(671\) −38.2787 17.0428i −1.47773 0.657930i
\(672\) −2.74853 13.9105i −0.106027 0.536609i
\(673\) 4.67811 + 0.994364i 0.180328 + 0.0383299i 0.297191 0.954818i \(-0.403950\pi\)
−0.116862 + 0.993148i \(0.537284\pi\)
\(674\) 9.22544 0.355351
\(675\) −24.5814 + 8.41144i −0.946140 + 0.323756i
\(676\) −50.8875 −1.95721
\(677\) 26.6936 + 5.67390i 1.02592 + 0.218066i 0.689988 0.723821i \(-0.257616\pi\)
0.335930 + 0.941887i \(0.390949\pi\)
\(678\) 0.0404535 + 0.204738i 0.00155361 + 0.00786292i
\(679\) −25.7274 11.4546i −0.987327 0.439587i
\(680\) 0.622175 + 0.424741i 0.0238593 + 0.0162881i
\(681\) −0.0335717 + 2.33678i −0.00128647 + 0.0895456i
\(682\) −2.61876 + 4.53583i −0.100278 + 0.173686i
\(683\) −3.32056 2.41252i −0.127058 0.0923127i 0.522441 0.852675i \(-0.325021\pi\)
−0.649499 + 0.760362i \(0.725021\pi\)
\(684\) 25.4636 + 19.6424i 0.973627 + 0.751045i
\(685\) 18.5677 + 3.38110i 0.709435 + 0.129185i
\(686\) −8.27581 1.75908i −0.315972 0.0671619i
\(687\) −9.87348 + 43.3774i −0.376697 + 1.65495i
\(688\) −22.0666 + 4.69041i −0.841282 + 0.178820i
\(689\) −31.8058 + 35.3239i −1.21170 + 1.34573i
\(690\) −4.64062 0.417702i −0.176665 0.0159016i
\(691\) 12.5662 + 13.9562i 0.478042 + 0.530920i 0.933136 0.359524i \(-0.117061\pi\)
−0.455094 + 0.890444i \(0.650394\pi\)
\(692\) −31.5753 22.9408i −1.20031 0.872077i
\(693\) 7.71393 21.6081i 0.293028 0.820824i
\(694\) 1.42101 + 1.03243i 0.0539409 + 0.0391903i
\(695\) −0.587161 + 7.77227i −0.0222723 + 0.294819i
\(696\) 2.02824 + 0.691380i 0.0768801 + 0.0262067i
\(697\) 2.31459 + 1.03052i 0.0876713 + 0.0390338i
\(698\) −0.629274 + 0.698880i −0.0238184 + 0.0264530i
\(699\) −11.0307 + 23.8473i −0.417218 + 0.901989i
\(700\) −5.84502 14.9458i −0.220921 0.564898i
\(701\) 22.5412 0.851368 0.425684 0.904872i \(-0.360033\pi\)
0.425684 + 0.904872i \(0.360033\pi\)
\(702\) 8.08813 + 12.2056i 0.305267 + 0.460671i
\(703\) −21.2675 + 15.4517i −0.802118 + 0.582773i
\(704\) −1.68108 15.9944i −0.0633579 0.602810i
\(705\) −1.10545 + 1.57037i −0.0416337 + 0.0591437i
\(706\) 0.520579 4.95298i 0.0195922 0.186408i
\(707\) −8.93915 15.4831i −0.336192 0.582301i
\(708\) −0.437661 + 30.4637i −0.0164483 + 1.14489i
\(709\) −9.97932 11.0832i −0.374781 0.416237i 0.526017 0.850474i \(-0.323685\pi\)
−0.900799 + 0.434237i \(0.857018\pi\)
\(710\) −1.12537 + 2.08828i −0.0422346 + 0.0783718i
\(711\) 18.3348 + 33.9749i 0.687609 + 1.27416i
\(712\) 5.51790 16.9823i 0.206792 0.636440i
\(713\) 5.07549 + 5.63690i 0.190078 + 0.211104i
\(714\) −0.107144 0.250264i −0.00400976 0.00936590i
\(715\) 48.8887 37.7579i 1.82833 1.41207i
\(716\) −32.8354 + 6.97937i −1.22712 + 0.260831i
\(717\) 20.8385 + 12.4336i 0.778229 + 0.464343i
\(718\) −5.15985 + 8.93713i −0.192564 + 0.333531i
\(719\) −35.1450 25.5343i −1.31069 0.952270i −0.999998 0.00175887i \(-0.999440\pi\)
−0.310689 0.950512i \(-0.600560\pi\)
\(720\) 18.8932 4.02744i 0.704107 0.150094i
\(721\) −7.16959 + 5.20901i −0.267009 + 0.193994i
\(722\) 0.743291 + 7.07194i 0.0276624 + 0.263190i
\(723\) 23.3577 31.1967i 0.868683 1.16022i
\(724\) −1.16457 2.01710i −0.0432810 0.0749649i
\(725\) 3.65731 + 0.555760i 0.135829 + 0.0206404i
\(726\) −2.40848 + 5.20691i −0.0893870 + 0.193247i
\(727\) 15.5641 + 3.30825i 0.577241 + 0.122696i 0.487275 0.873249i \(-0.337991\pi\)
0.0899657 + 0.995945i \(0.471324\pi\)
\(728\) −15.4152 + 11.1998i −0.571326 + 0.415093i
\(729\) −10.5231 + 24.8649i −0.389744 + 0.920923i
\(730\) 1.88956 + 1.97871i 0.0699356 + 0.0732352i
\(731\) −1.44190 + 0.641974i −0.0533305 + 0.0237443i
\(732\) −12.7867 + 27.6437i −0.472611 + 1.02174i
\(733\) 1.63644 15.5697i 0.0604433 0.575080i −0.921826 0.387604i \(-0.873303\pi\)
0.982269 0.187476i \(-0.0600306\pi\)
\(734\) −8.75636 + 1.86122i −0.323203 + 0.0686990i
\(735\) 2.87828 14.6122i 0.106167 0.538979i
\(736\) 12.3487 + 2.62480i 0.455180 + 0.0967516i
\(737\) −0.189718 + 0.583893i −0.00698836 + 0.0215080i
\(738\) −15.3251 + 6.30210i −0.564124 + 0.231984i
\(739\) −11.5329 35.4945i −0.424243 1.30569i −0.903717 0.428131i \(-0.859172\pi\)
0.479473 0.877556i \(-0.340828\pi\)
\(740\) −1.34892 + 17.8557i −0.0495873 + 0.656390i
\(741\) 14.6300 64.2743i 0.537447 2.36118i
\(742\) −0.604163 + 5.74823i −0.0221795 + 0.211024i
\(743\) 5.72347 + 9.91334i 0.209974 + 0.363685i 0.951706 0.307011i \(-0.0993288\pi\)
−0.741732 + 0.670696i \(0.765995\pi\)
\(744\) 6.88779 + 4.10971i 0.252518 + 0.150669i
\(745\) −28.7478 11.8022i −1.05324 0.432400i
\(746\) −10.9622 + 7.96449i −0.401354 + 0.291601i
\(747\) −7.11245 + 7.45677i −0.260231 + 0.272829i
\(748\) −0.484450 1.49098i −0.0177132 0.0545158i
\(749\) 6.30599 10.9223i 0.230416 0.399092i
\(750\) −7.87413 + 3.21597i −0.287523 + 0.117431i
\(751\) 12.6924 + 21.9839i 0.463152 + 0.802203i 0.999116 0.0420379i \(-0.0133850\pi\)
−0.535964 + 0.844241i \(0.680052\pi\)
\(752\) 0.955465 1.06115i 0.0348422 0.0386962i
\(753\) 0.155848 + 0.788760i 0.00567943 + 0.0287440i
\(754\) −0.217926 2.07343i −0.00793639 0.0755097i
\(755\) 1.40492 + 10.4187i 0.0511301 + 0.379175i
\(756\) −15.6246 5.83226i −0.568262 0.212117i
\(757\) −15.8030 −0.574370 −0.287185 0.957875i \(-0.592719\pi\)
−0.287185 + 0.957875i \(0.592719\pi\)
\(758\) −12.9872 + 5.78226i −0.471716 + 0.210021i
\(759\) 14.9830 + 13.8856i 0.543847 + 0.504015i
\(760\) 18.3189 + 12.5058i 0.664495 + 0.453632i
\(761\) −27.7983 + 30.8732i −1.00769 + 1.11915i −0.0148259 + 0.999890i \(0.504719\pi\)
−0.992863 + 0.119262i \(0.961947\pi\)
\(762\) −1.79933 + 0.556191i −0.0651828 + 0.0201487i
\(763\) 0.683930 + 0.759582i 0.0247599 + 0.0274987i
\(764\) 0.865533 + 2.66384i 0.0313139 + 0.0963742i
\(765\) 1.23437 0.550443i 0.0446286 0.0199013i
\(766\) 4.65808 14.3361i 0.168303 0.517984i
\(767\) 57.0502 25.4004i 2.05996 0.917154i
\(768\) −4.65822 + 0.422038i −0.168089 + 0.0152290i
\(769\) −2.57264 + 24.4770i −0.0927717 + 0.882664i 0.844849 + 0.535005i \(0.179690\pi\)
−0.937621 + 0.347659i \(0.886977\pi\)
\(770\) 2.11072 7.20864i 0.0760650 0.259781i