Properties

Label 690.2.m.h.301.3
Level $690$
Weight $2$
Character 690.301
Analytic conductor $5.510$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.m (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 301.3
Character \(\chi\) \(=\) 690.301
Dual form 690.2.m.h.541.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(2.94698 - 3.40099i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(2.94698 - 3.40099i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(-0.654861 - 0.755750i) q^{10} +(3.15964 - 2.03058i) q^{11} +(0.841254 - 0.540641i) q^{12} +(4.55681 + 5.25884i) q^{13} +(-4.31787 + 1.26784i) q^{14} +(0.142315 - 0.989821i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-2.91086 + 6.37389i) q^{17} +(0.959493 + 0.281733i) q^{18} +(-0.990383 - 2.16864i) q^{19} +(0.142315 + 0.989821i) q^{20} +(-3.78577 - 2.43297i) q^{21} -3.75587 q^{22} +(1.30885 - 4.61377i) q^{23} -1.00000 q^{24} +(0.841254 + 0.540641i) q^{25} +(-0.990289 - 6.88761i) q^{26} +(0.415415 + 0.909632i) q^{27} +(4.31787 + 1.26784i) q^{28} +(-2.07904 + 4.55246i) q^{29} +(-0.654861 + 0.755750i) q^{30} +(0.564660 - 3.92729i) q^{31} +(0.959493 - 0.281733i) q^{32} +(-2.45957 - 2.83850i) q^{33} +(5.89475 - 3.78833i) q^{34} +(3.78577 - 2.43297i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(7.21215 - 2.11768i) q^{37} +(-0.339290 + 2.35981i) q^{38} +(4.55681 - 5.25884i) q^{39} +(0.415415 - 0.909632i) q^{40} +(-2.11326 - 0.620508i) q^{41} +(1.86943 + 4.09349i) q^{42} +(1.26125 + 8.77220i) q^{43} +(3.15964 + 2.03058i) q^{44} -1.00000 q^{45} +(-3.59547 + 3.17373i) q^{46} -4.07475 q^{47} +(0.841254 + 0.540641i) q^{48} +(-1.88587 - 13.1165i) q^{49} +(-0.415415 - 0.909632i) q^{50} +(6.72327 + 1.97413i) q^{51} +(-2.89064 + 6.32962i) q^{52} +(2.56761 - 2.96318i) q^{53} +(0.142315 - 0.989821i) q^{54} +(3.60373 - 1.05815i) q^{55} +(-2.94698 - 3.40099i) q^{56} +(-2.00562 + 1.28893i) q^{57} +(4.21025 - 2.70576i) q^{58} +(-7.13771 - 8.23736i) q^{59} +(0.959493 - 0.281733i) q^{60} +(1.89566 - 13.1846i) q^{61} +(-2.59828 + 2.99857i) q^{62} +(-1.86943 + 4.09349i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(2.89064 + 6.32962i) q^{65} +(0.534516 + 3.71764i) q^{66} +(0.866222 + 0.556687i) q^{67} -7.00711 q^{68} +(-4.75308 - 0.638921i) q^{69} -4.50016 q^{70} +(-4.19300 - 2.69468i) q^{71} +(0.142315 + 0.989821i) q^{72} +(-2.59043 - 5.67225i) q^{73} +(-7.21215 - 2.11768i) q^{74} +(0.415415 - 0.909632i) q^{75} +(1.56124 - 1.80177i) q^{76} +(2.40540 - 16.7300i) q^{77} +(-6.67657 + 1.96042i) q^{78} +(-2.60645 - 3.00801i) q^{79} +(-0.841254 + 0.540641i) q^{80} +(0.841254 - 0.540641i) q^{81} +(1.44231 + 1.66452i) q^{82} +(-14.6281 + 4.29519i) q^{83} +(0.640439 - 4.45435i) q^{84} +(-4.58868 + 5.29562i) q^{85} +(3.68158 - 8.06153i) q^{86} +(4.80200 + 1.41000i) q^{87} +(-1.56024 - 3.41646i) q^{88} +(1.83561 + 12.7670i) q^{89} +(0.841254 + 0.540641i) q^{90} +31.3141 q^{91} +(4.74055 - 0.726057i) q^{92} -3.96768 q^{93} +(3.42790 + 2.20298i) q^{94} +(-0.339290 - 2.35981i) q^{95} +(-0.415415 - 0.909632i) q^{96} +(6.25556 + 1.83680i) q^{97} +(-5.50484 + 12.0539i) q^{98} +(-2.45957 + 2.83850i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} + O(q^{10}) \) \( 30q + 3q^{2} - 3q^{3} - 3q^{4} + 3q^{5} + 3q^{6} + 8q^{7} + 3q^{8} - 3q^{9} - 3q^{10} - 18q^{11} - 3q^{12} + 13q^{13} - 8q^{14} + 3q^{15} - 3q^{16} - 6q^{17} + 3q^{18} + 4q^{19} + 3q^{20} - 3q^{21} - 4q^{22} - 23q^{23} - 30q^{24} - 3q^{25} + 9q^{26} - 3q^{27} + 8q^{28} + 18q^{29} - 3q^{30} - 8q^{31} + 3q^{32} + 4q^{33} - 5q^{34} + 3q^{35} - 3q^{36} - 32q^{37} - 15q^{38} + 13q^{39} - 3q^{40} + 35q^{41} + 3q^{42} + 48q^{43} - 18q^{44} - 30q^{45} + q^{46} + 8q^{47} - 3q^{48} - 11q^{49} + 3q^{50} + 27q^{51} + 2q^{52} + 26q^{53} + 3q^{54} - 4q^{55} - 8q^{56} - 29q^{57} - 7q^{58} + 55q^{59} + 3q^{60} + 21q^{61} + 8q^{62} - 3q^{63} - 3q^{64} - 2q^{65} + 7q^{66} + 4q^{67} - 28q^{68} - 45q^{69} - 14q^{70} - 41q^{71} + 3q^{72} - 39q^{73} + 32q^{74} - 3q^{75} + 4q^{76} - 33q^{77} - 2q^{78} + 18q^{79} + 3q^{80} - 3q^{81} + 31q^{82} - 85q^{83} - 3q^{84} - 5q^{85} + 40q^{86} + 18q^{87} - 15q^{88} + 43q^{89} - 3q^{90} + 38q^{91} + 10q^{92} + 36q^{93} - 19q^{94} - 15q^{95} + 3q^{96} + 43q^{97} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.841254 0.540641i −0.594856 0.382291i
\(3\) −0.142315 0.989821i −0.0821655 0.571474i
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) 0.959493 + 0.281733i 0.429098 + 0.125995i
\(6\) −0.415415 + 0.909632i −0.169592 + 0.371356i
\(7\) 2.94698 3.40099i 1.11385 1.28545i 0.159360 0.987221i \(-0.449057\pi\)
0.954493 0.298234i \(-0.0963975\pi\)
\(8\) 0.142315 0.989821i 0.0503159 0.349955i
\(9\) −0.959493 + 0.281733i −0.319831 + 0.0939109i
\(10\) −0.654861 0.755750i −0.207085 0.238989i
\(11\) 3.15964 2.03058i 0.952666 0.612241i 0.0307071 0.999528i \(-0.490224\pi\)
0.921959 + 0.387287i \(0.126588\pi\)
\(12\) 0.841254 0.540641i 0.242849 0.156070i
\(13\) 4.55681 + 5.25884i 1.26383 + 1.45854i 0.830216 + 0.557441i \(0.188217\pi\)
0.433615 + 0.901098i \(0.357238\pi\)
\(14\) −4.31787 + 1.26784i −1.15400 + 0.338845i
\(15\) 0.142315 0.989821i 0.0367455 0.255571i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −2.91086 + 6.37389i −0.705987 + 1.54589i 0.126572 + 0.991957i \(0.459603\pi\)
−0.832558 + 0.553937i \(0.813125\pi\)
\(18\) 0.959493 + 0.281733i 0.226155 + 0.0664050i
\(19\) −0.990383 2.16864i −0.227209 0.497519i 0.761352 0.648339i \(-0.224536\pi\)
−0.988561 + 0.150820i \(0.951809\pi\)
\(20\) 0.142315 + 0.989821i 0.0318226 + 0.221331i
\(21\) −3.78577 2.43297i −0.826124 0.530917i
\(22\) −3.75587 −0.800754
\(23\) 1.30885 4.61377i 0.272914 0.962038i
\(24\) −1.00000 −0.204124
\(25\) 0.841254 + 0.540641i 0.168251 + 0.108128i
\(26\) −0.990289 6.88761i −0.194212 1.35077i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 4.31787 + 1.26784i 0.816001 + 0.239599i
\(29\) −2.07904 + 4.55246i −0.386068 + 0.845371i 0.612427 + 0.790527i \(0.290193\pi\)
−0.998495 + 0.0548438i \(0.982534\pi\)
\(30\) −0.654861 + 0.755750i −0.119561 + 0.137980i
\(31\) 0.564660 3.92729i 0.101416 0.705363i −0.874150 0.485656i \(-0.838581\pi\)
0.975566 0.219707i \(-0.0705101\pi\)
\(32\) 0.959493 0.281733i 0.169616 0.0498038i
\(33\) −2.45957 2.83850i −0.428156 0.494119i
\(34\) 5.89475 3.78833i 1.01094 0.649693i
\(35\) 3.78577 2.43297i 0.639913 0.411247i
\(36\) −0.654861 0.755750i −0.109143 0.125958i
\(37\) 7.21215 2.11768i 1.18567 0.348144i 0.371313 0.928508i \(-0.378908\pi\)
0.814357 + 0.580364i \(0.197090\pi\)
\(38\) −0.339290 + 2.35981i −0.0550401 + 0.382812i
\(39\) 4.55681 5.25884i 0.729673 0.842088i
\(40\) 0.415415 0.909632i 0.0656829 0.143825i
\(41\) −2.11326 0.620508i −0.330035 0.0969070i 0.112517 0.993650i \(-0.464109\pi\)
−0.442552 + 0.896743i \(0.645927\pi\)
\(42\) 1.86943 + 4.09349i 0.288460 + 0.631639i
\(43\) 1.26125 + 8.77220i 0.192339 + 1.33775i 0.825796 + 0.563969i \(0.190726\pi\)
−0.633457 + 0.773778i \(0.718365\pi\)
\(44\) 3.15964 + 2.03058i 0.476333 + 0.306121i
\(45\) −1.00000 −0.149071
\(46\) −3.59547 + 3.17373i −0.530123 + 0.467942i
\(47\) −4.07475 −0.594364 −0.297182 0.954821i \(-0.596047\pi\)
−0.297182 + 0.954821i \(0.596047\pi\)
\(48\) 0.841254 + 0.540641i 0.121424 + 0.0780348i
\(49\) −1.88587 13.1165i −0.269411 1.87379i
\(50\) −0.415415 0.909632i −0.0587486 0.128641i
\(51\) 6.72327 + 1.97413i 0.941446 + 0.276433i
\(52\) −2.89064 + 6.32962i −0.400860 + 0.877760i
\(53\) 2.56761 2.96318i 0.352688 0.407024i −0.551489 0.834182i \(-0.685940\pi\)
0.904177 + 0.427159i \(0.140485\pi\)
\(54\) 0.142315 0.989821i 0.0193666 0.134698i
\(55\) 3.60373 1.05815i 0.485927 0.142681i
\(56\) −2.94698 3.40099i −0.393806 0.454477i
\(57\) −2.00562 + 1.28893i −0.265650 + 0.170723i
\(58\) 4.21025 2.70576i 0.552832 0.355284i
\(59\) −7.13771 8.23736i −0.929251 1.07241i −0.997204 0.0747241i \(-0.976192\pi\)
0.0679535 0.997688i \(-0.478353\pi\)
\(60\) 0.959493 0.281733i 0.123870 0.0363715i
\(61\) 1.89566 13.1846i 0.242714 1.68811i −0.395669 0.918393i \(-0.629487\pi\)
0.638383 0.769719i \(-0.279604\pi\)
\(62\) −2.59828 + 2.99857i −0.329982 + 0.380819i
\(63\) −1.86943 + 4.09349i −0.235526 + 0.515731i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 2.89064 + 6.32962i 0.358540 + 0.785093i
\(66\) 0.534516 + 3.71764i 0.0657943 + 0.457610i
\(67\) 0.866222 + 0.556687i 0.105826 + 0.0680101i 0.592483 0.805583i \(-0.298148\pi\)
−0.486657 + 0.873593i \(0.661784\pi\)
\(68\) −7.00711 −0.849736
\(69\) −4.75308 0.638921i −0.572204 0.0769171i
\(70\) −4.50016 −0.537872
\(71\) −4.19300 2.69468i −0.497617 0.319799i 0.267645 0.963518i \(-0.413755\pi\)
−0.765263 + 0.643718i \(0.777391\pi\)
\(72\) 0.142315 + 0.989821i 0.0167720 + 0.116652i
\(73\) −2.59043 5.67225i −0.303187 0.663886i 0.695309 0.718711i \(-0.255267\pi\)
−0.998496 + 0.0548245i \(0.982540\pi\)
\(74\) −7.21215 2.11768i −0.838395 0.246175i
\(75\) 0.415415 0.909632i 0.0479680 0.105035i
\(76\) 1.56124 1.80177i 0.179087 0.206677i
\(77\) 2.40540 16.7300i 0.274121 1.90656i
\(78\) −6.67657 + 1.96042i −0.755973 + 0.221974i
\(79\) −2.60645 3.00801i −0.293249 0.338427i 0.589938 0.807449i \(-0.299152\pi\)
−0.883187 + 0.469021i \(0.844607\pi\)
\(80\) −0.841254 + 0.540641i −0.0940550 + 0.0604455i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) 1.44231 + 1.66452i 0.159277 + 0.183815i
\(83\) −14.6281 + 4.29519i −1.60564 + 0.471458i −0.957108 0.289730i \(-0.906435\pi\)
−0.648531 + 0.761188i \(0.724616\pi\)
\(84\) 0.640439 4.45435i 0.0698777 0.486010i
\(85\) −4.58868 + 5.29562i −0.497712 + 0.574390i
\(86\) 3.68158 8.06153i 0.396995 0.869297i
\(87\) 4.80200 + 1.41000i 0.514829 + 0.151167i
\(88\) −1.56024 3.41646i −0.166323 0.364196i
\(89\) 1.83561 + 12.7670i 0.194574 + 1.35329i 0.819710 + 0.572779i \(0.194135\pi\)
−0.625136 + 0.780516i \(0.714956\pi\)
\(90\) 0.841254 + 0.540641i 0.0886759 + 0.0569885i
\(91\) 31.3141 3.28261
\(92\) 4.74055 0.726057i 0.494237 0.0756967i
\(93\) −3.96768 −0.411429
\(94\) 3.42790 + 2.20298i 0.353561 + 0.227220i
\(95\) −0.339290 2.35981i −0.0348104 0.242112i
\(96\) −0.415415 0.909632i −0.0423981 0.0928389i
\(97\) 6.25556 + 1.83680i 0.635156 + 0.186499i 0.583431 0.812163i \(-0.301710\pi\)
0.0517252 + 0.998661i \(0.483528\pi\)
\(98\) −5.50484 + 12.0539i −0.556073 + 1.21763i
\(99\) −2.45957 + 2.83850i −0.247196 + 0.285280i
\(100\) −0.142315 + 0.989821i −0.0142315 + 0.0989821i
\(101\) 4.20064 1.23342i 0.417979 0.122730i −0.0659786 0.997821i \(-0.521017\pi\)
0.483958 + 0.875091i \(0.339199\pi\)
\(102\) −4.58868 5.29562i −0.454347 0.524344i
\(103\) 0.0990437 0.0636515i 0.00975907 0.00627177i −0.535752 0.844375i \(-0.679972\pi\)
0.545511 + 0.838103i \(0.316336\pi\)
\(104\) 5.85381 3.76202i 0.574014 0.368896i
\(105\) −2.94698 3.40099i −0.287595 0.331903i
\(106\) −3.76202 + 1.10463i −0.365400 + 0.107291i
\(107\) −1.48069 + 10.2984i −0.143144 + 0.995587i 0.783968 + 0.620802i \(0.213193\pi\)
−0.927112 + 0.374785i \(0.877716\pi\)
\(108\) −0.654861 + 0.755750i −0.0630140 + 0.0727220i
\(109\) −8.35340 + 18.2914i −0.800110 + 1.75200i −0.154990 + 0.987916i \(0.549534\pi\)
−0.645121 + 0.764081i \(0.723193\pi\)
\(110\) −3.60373 1.05815i −0.343602 0.100891i
\(111\) −3.12252 6.83736i −0.296376 0.648974i
\(112\) 0.640439 + 4.45435i 0.0605158 + 0.420897i
\(113\) −6.50827 4.18261i −0.612246 0.393467i 0.197452 0.980312i \(-0.436733\pi\)
−0.809699 + 0.586846i \(0.800370\pi\)
\(114\) 2.38408 0.223290
\(115\) 2.55568 4.05814i 0.238319 0.378423i
\(116\) −5.00473 −0.464677
\(117\) −5.85381 3.76202i −0.541185 0.347799i
\(118\) 1.55117 + 10.7886i 0.142797 + 0.993175i
\(119\) 13.0993 + 28.6835i 1.20081 + 2.62941i
\(120\) −0.959493 0.281733i −0.0875893 0.0257185i
\(121\) 1.29050 2.82581i 0.117318 0.256892i
\(122\) −8.72285 + 10.0667i −0.789729 + 0.911396i
\(123\) −0.313444 + 2.18005i −0.0282623 + 0.196569i
\(124\) 3.80696 1.11782i 0.341875 0.100384i
\(125\) 0.654861 + 0.755750i 0.0585725 + 0.0675963i
\(126\) 3.78577 2.43297i 0.337264 0.216746i
\(127\) −11.1862 + 7.18893i −0.992615 + 0.637915i −0.932838 0.360297i \(-0.882675\pi\)
−0.0597771 + 0.998212i \(0.519039\pi\)
\(128\) 0.654861 + 0.755750i 0.0578821 + 0.0667995i
\(129\) 8.50341 2.49683i 0.748684 0.219833i
\(130\) 0.990289 6.88761i 0.0868541 0.604084i
\(131\) 4.98808 5.75656i 0.435811 0.502953i −0.494778 0.869020i \(-0.664750\pi\)
0.930588 + 0.366067i \(0.119296\pi\)
\(132\) 1.56024 3.41646i 0.135802 0.297364i
\(133\) −10.2941 3.02263i −0.892616 0.262096i
\(134\) −0.427744 0.936629i −0.0369515 0.0809125i
\(135\) 0.142315 + 0.989821i 0.0122485 + 0.0851903i
\(136\) 5.89475 + 3.78833i 0.505471 + 0.324846i
\(137\) 0.457151 0.0390571 0.0195285 0.999809i \(-0.493783\pi\)
0.0195285 + 0.999809i \(0.493783\pi\)
\(138\) 3.65312 + 3.10720i 0.310974 + 0.264503i
\(139\) −3.56577 −0.302445 −0.151222 0.988500i \(-0.548321\pi\)
−0.151222 + 0.988500i \(0.548321\pi\)
\(140\) 3.78577 + 2.43297i 0.319956 + 0.205623i
\(141\) 0.579898 + 4.03328i 0.0488362 + 0.339663i
\(142\) 2.07052 + 4.53381i 0.173754 + 0.380469i
\(143\) 25.0763 + 7.36307i 2.09699 + 0.615731i
\(144\) 0.415415 0.909632i 0.0346179 0.0758027i
\(145\) −3.27740 + 3.78232i −0.272173 + 0.314105i
\(146\) −0.887441 + 6.17229i −0.0734451 + 0.510822i
\(147\) −12.7146 + 3.73336i −1.04869 + 0.307922i
\(148\) 4.92234 + 5.68069i 0.404614 + 0.466949i
\(149\) 3.18680 2.04803i 0.261073 0.167781i −0.403556 0.914955i \(-0.632226\pi\)
0.664629 + 0.747173i \(0.268590\pi\)
\(150\) −0.841254 + 0.540641i −0.0686881 + 0.0441431i
\(151\) 8.19411 + 9.45651i 0.666827 + 0.769560i 0.983876 0.178849i \(-0.0572375\pi\)
−0.317049 + 0.948409i \(0.602692\pi\)
\(152\) −2.28751 + 0.671673i −0.185541 + 0.0544799i
\(153\) 0.997215 6.93578i 0.0806201 0.560725i
\(154\) −11.0685 + 12.7737i −0.891921 + 1.02933i
\(155\) 1.64823 3.60913i 0.132389 0.289892i
\(156\) 6.67657 + 1.96042i 0.534554 + 0.156959i
\(157\) 1.83361 + 4.01505i 0.146338 + 0.320436i 0.968580 0.248702i \(-0.0800041\pi\)
−0.822242 + 0.569139i \(0.807277\pi\)
\(158\) 0.566437 + 3.93965i 0.0450633 + 0.313422i
\(159\) −3.29843 2.11977i −0.261582 0.168109i
\(160\) 1.00000 0.0790569
\(161\) −11.8343 18.0481i −0.932670 1.42239i
\(162\) −1.00000 −0.0785674
\(163\) 4.73056 + 3.04014i 0.370526 + 0.238122i 0.712631 0.701539i \(-0.247504\pi\)
−0.342105 + 0.939662i \(0.611140\pi\)
\(164\) −0.313444 2.18005i −0.0244759 0.170234i
\(165\) −1.56024 3.41646i −0.121465 0.265971i
\(166\) 14.6281 + 4.29519i 1.13536 + 0.333371i
\(167\) 6.75084 14.7823i 0.522395 1.14389i −0.446129 0.894969i \(-0.647198\pi\)
0.968525 0.248918i \(-0.0800749\pi\)
\(168\) −2.94698 + 3.40099i −0.227364 + 0.262392i
\(169\) −5.04078 + 35.0594i −0.387752 + 2.69687i
\(170\) 6.72327 1.97413i 0.515651 0.151409i
\(171\) 1.56124 + 1.80177i 0.119391 + 0.137785i
\(172\) −7.45553 + 4.79138i −0.568479 + 0.365339i
\(173\) 1.43265 0.920706i 0.108922 0.0700000i −0.485046 0.874489i \(-0.661197\pi\)
0.593968 + 0.804489i \(0.297561\pi\)
\(174\) −3.27740 3.78232i −0.248459 0.286737i
\(175\) 4.31787 1.26784i 0.326400 0.0958398i
\(176\) −0.534516 + 3.71764i −0.0402906 + 0.280228i
\(177\) −7.13771 + 8.23736i −0.536503 + 0.619158i
\(178\) 5.35812 11.7327i 0.401608 0.879400i
\(179\) −12.5417 3.68258i −0.937411 0.275249i −0.222875 0.974847i \(-0.571544\pi\)
−0.714536 + 0.699598i \(0.753362\pi\)
\(180\) −0.415415 0.909632i −0.0309632 0.0678000i
\(181\) −2.82585 19.6542i −0.210043 1.46088i −0.773004 0.634401i \(-0.781247\pi\)
0.562961 0.826484i \(-0.309662\pi\)
\(182\) −26.3431 16.9297i −1.95268 1.25491i
\(183\) −13.3202 −0.984654
\(184\) −4.38054 1.95214i −0.322938 0.143914i
\(185\) 7.51662 0.552633
\(186\) 3.33782 + 2.14509i 0.244741 + 0.157286i
\(187\) 3.74541 + 26.0499i 0.273891 + 1.90496i
\(188\) −1.69271 3.70652i −0.123454 0.270326i
\(189\) 4.31787 + 1.26784i 0.314079 + 0.0922219i
\(190\) −0.990383 + 2.16864i −0.0718499 + 0.157329i
\(191\) 4.27913 4.93837i 0.309627 0.357328i −0.579514 0.814962i \(-0.696758\pi\)
0.889141 + 0.457634i \(0.151303\pi\)
\(192\) −0.142315 + 0.989821i −0.0102707 + 0.0714342i
\(193\) −3.55126 + 1.04275i −0.255626 + 0.0750584i −0.407035 0.913413i \(-0.633437\pi\)
0.151409 + 0.988471i \(0.451619\pi\)
\(194\) −4.26947 4.92723i −0.306530 0.353754i
\(195\) 5.85381 3.76202i 0.419200 0.269404i
\(196\) 11.1478 7.16426i 0.796272 0.511733i
\(197\) 8.30675 + 9.58650i 0.591831 + 0.683010i 0.970105 0.242684i \(-0.0780278\pi\)
−0.378274 + 0.925694i \(0.623482\pi\)
\(198\) 3.60373 1.05815i 0.256106 0.0751995i
\(199\) −0.731905 + 5.09051i −0.0518833 + 0.360857i 0.947296 + 0.320359i \(0.103803\pi\)
−0.999180 + 0.0404978i \(0.987106\pi\)
\(200\) 0.654861 0.755750i 0.0463056 0.0534396i
\(201\) 0.427744 0.936629i 0.0301708 0.0660647i
\(202\) −4.20064 1.23342i −0.295556 0.0867831i
\(203\) 9.35601 + 20.4868i 0.656663 + 1.43789i
\(204\) 0.997215 + 6.93578i 0.0698190 + 0.485602i
\(205\) −1.85284 1.19075i −0.129408 0.0831653i
\(206\) −0.117733 −0.00820288
\(207\) 0.0440162 + 4.79563i 0.00305933 + 0.333319i
\(208\) −6.95844 −0.482481
\(209\) −7.53283 4.84105i −0.521057 0.334863i
\(210\) 0.640439 + 4.45435i 0.0441945 + 0.307380i
\(211\) 0.942067 + 2.06284i 0.0648546 + 0.142012i 0.939284 0.343142i \(-0.111491\pi\)
−0.874429 + 0.485153i \(0.838764\pi\)
\(212\) 3.76202 + 1.10463i 0.258377 + 0.0758663i
\(213\) −2.07052 + 4.53381i −0.141870 + 0.310652i
\(214\) 6.81339 7.86307i 0.465754 0.537508i
\(215\) −1.26125 + 8.77220i −0.0860166 + 0.598259i
\(216\) 0.959493 0.281733i 0.0652852 0.0191695i
\(217\) −11.6927 13.4940i −0.793749 0.916036i
\(218\) 16.9164 10.8715i 1.14572 0.736311i
\(219\) −5.24585 + 3.37131i −0.354482 + 0.227812i
\(220\) 2.45957 + 2.83850i 0.165824 + 0.191371i
\(221\) −46.7835 + 13.7369i −3.14700 + 0.924042i
\(222\) −1.06973 + 7.44012i −0.0717954 + 0.499348i
\(223\) −8.05267 + 9.29328i −0.539247 + 0.622324i −0.958344 0.285618i \(-0.907801\pi\)
0.419097 + 0.907941i \(0.362347\pi\)
\(224\) 1.86943 4.09349i 0.124907 0.273508i
\(225\) −0.959493 0.281733i −0.0639662 0.0187822i
\(226\) 3.21381 + 7.03727i 0.213780 + 0.468112i
\(227\) 0.581482 + 4.04429i 0.0385943 + 0.268429i 0.999977 0.00678591i \(-0.00216004\pi\)
−0.961383 + 0.275215i \(0.911251\pi\)
\(228\) −2.00562 1.28893i −0.132825 0.0853615i
\(229\) −12.1403 −0.802253 −0.401126 0.916023i \(-0.631381\pi\)
−0.401126 + 0.916023i \(0.631381\pi\)
\(230\) −4.34397 + 2.03222i −0.286433 + 0.134000i
\(231\) −16.9020 −1.11207
\(232\) 4.21025 + 2.70576i 0.276416 + 0.177642i
\(233\) 2.65323 + 18.4536i 0.173819 + 1.20894i 0.870724 + 0.491772i \(0.163651\pi\)
−0.696905 + 0.717163i \(0.745440\pi\)
\(234\) 2.89064 + 6.32962i 0.188967 + 0.413780i
\(235\) −3.90970 1.14799i −0.255040 0.0748866i
\(236\) 4.52785 9.91461i 0.294738 0.645386i
\(237\) −2.60645 + 3.00801i −0.169307 + 0.195391i
\(238\) 4.48763 31.2121i 0.290890 2.02318i
\(239\) −2.19543 + 0.644637i −0.142011 + 0.0416981i −0.351965 0.936013i \(-0.614487\pi\)
0.209955 + 0.977711i \(0.432668\pi\)
\(240\) 0.654861 + 0.755750i 0.0422711 + 0.0487834i
\(241\) −11.0338 + 7.09102i −0.710752 + 0.456772i −0.845409 0.534120i \(-0.820643\pi\)
0.134657 + 0.990892i \(0.457007\pi\)
\(242\) −2.61339 + 1.67952i −0.167995 + 0.107964i
\(243\) −0.654861 0.755750i −0.0420093 0.0484814i
\(244\) 12.7806 3.75272i 0.818194 0.240243i
\(245\) 1.88587 13.1165i 0.120484 0.837985i
\(246\) 1.44231 1.66452i 0.0919584 0.106126i
\(247\) 6.89152 15.0903i 0.438497 0.960174i
\(248\) −3.80696 1.11782i −0.241742 0.0709819i
\(249\) 6.33326 + 13.8679i 0.401354 + 0.878843i
\(250\) −0.142315 0.989821i −0.00900078 0.0626018i
\(251\) −3.60795 2.31869i −0.227731 0.146354i 0.421800 0.906689i \(-0.361398\pi\)
−0.649531 + 0.760335i \(0.725035\pi\)
\(252\) −4.50016 −0.283483
\(253\) −5.23312 17.2356i −0.329003 1.08359i
\(254\) 13.2971 0.834332
\(255\) 5.89475 + 3.78833i 0.369144 + 0.237234i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 8.12908 + 17.8002i 0.507078 + 1.11035i 0.974104 + 0.226102i \(0.0725984\pi\)
−0.467025 + 0.884244i \(0.654674\pi\)
\(258\) −8.50341 2.49683i −0.529399 0.155446i
\(259\) 14.0518 30.7692i 0.873138 1.91191i
\(260\) −4.55681 + 5.25884i −0.282601 + 0.326139i
\(261\) 0.712247 4.95379i 0.0440870 0.306632i
\(262\) −7.30847 + 2.14596i −0.451519 + 0.132578i
\(263\) 11.8728 + 13.7019i 0.732108 + 0.844898i 0.992707 0.120549i \(-0.0384655\pi\)
−0.260599 + 0.965447i \(0.583920\pi\)
\(264\) −3.15964 + 2.03058i −0.194462 + 0.124973i
\(265\) 3.29843 2.11977i 0.202621 0.130216i
\(266\) 7.02583 + 8.10824i 0.430781 + 0.497148i
\(267\) 12.3758 3.63385i 0.757385 0.222388i
\(268\) −0.146539 + 1.01920i −0.00895127 + 0.0622575i
\(269\) 5.24425 6.05218i 0.319747 0.369008i −0.573008 0.819550i \(-0.694224\pi\)
0.892755 + 0.450542i \(0.148769\pi\)
\(270\) 0.415415 0.909632i 0.0252814 0.0553584i
\(271\) −25.3828 7.45305i −1.54189 0.452741i −0.603227 0.797569i \(-0.706119\pi\)
−0.938666 + 0.344829i \(0.887937\pi\)
\(272\) −2.91086 6.37389i −0.176497 0.386474i
\(273\) −4.45646 30.9953i −0.269717 1.87592i
\(274\) −0.384580 0.247155i −0.0232333 0.0149312i
\(275\) 3.75587 0.226487
\(276\) −1.39332 4.58897i −0.0838679 0.276224i
\(277\) −2.76068 −0.165873 −0.0829365 0.996555i \(-0.526430\pi\)
−0.0829365 + 0.996555i \(0.526430\pi\)
\(278\) 2.99972 + 1.92780i 0.179911 + 0.115622i
\(279\) 0.564660 + 3.92729i 0.0338053 + 0.235121i
\(280\) −1.86943 4.09349i −0.111720 0.244633i
\(281\) 27.1941 + 7.98491i 1.62227 + 0.476340i 0.961626 0.274363i \(-0.0884671\pi\)
0.660639 + 0.750704i \(0.270285\pi\)
\(282\) 1.69271 3.70652i 0.100800 0.220720i
\(283\) 13.5748 15.6662i 0.806939 0.931258i −0.191801 0.981434i \(-0.561433\pi\)
0.998740 + 0.0501762i \(0.0159783\pi\)
\(284\) 0.709330 4.93350i 0.0420910 0.292749i
\(285\) −2.28751 + 0.671673i −0.135500 + 0.0397865i
\(286\) −17.1148 19.7515i −1.01202 1.16793i
\(287\) −8.33806 + 5.35854i −0.492180 + 0.316305i
\(288\) −0.841254 + 0.540641i −0.0495713 + 0.0318576i
\(289\) −21.0207 24.2592i −1.23651 1.42701i
\(290\) 4.80200 1.41000i 0.281983 0.0827978i
\(291\) 0.927844 6.45330i 0.0543912 0.378299i
\(292\) 4.08355 4.71267i 0.238972 0.275788i
\(293\) 3.82530 8.37623i 0.223476 0.489345i −0.764370 0.644778i \(-0.776950\pi\)
0.987846 + 0.155433i \(0.0496772\pi\)
\(294\) 12.7146 + 3.73336i 0.741533 + 0.217734i
\(295\) −4.52785 9.91461i −0.263622 0.577251i
\(296\) −1.06973 7.44012i −0.0621766 0.432448i
\(297\) 3.15964 + 2.03058i 0.183341 + 0.117826i
\(298\) −3.78816 −0.219442
\(299\) 30.2273 14.1410i 1.74809 0.817798i
\(300\) 1.00000 0.0577350
\(301\) 33.5511 + 21.5620i 1.93385 + 1.24281i
\(302\) −1.78075 12.3854i −0.102471 0.712699i
\(303\) −1.81868 3.98235i −0.104480 0.228780i
\(304\) 2.28751 + 0.671673i 0.131198 + 0.0385231i
\(305\) 5.53339 12.1164i 0.316841 0.693785i
\(306\) −4.58868 + 5.29562i −0.262317 + 0.302730i
\(307\) −1.33473 + 9.28328i −0.0761773 + 0.529825i 0.915624 + 0.402036i \(0.131697\pi\)
−0.991801 + 0.127789i \(0.959212\pi\)
\(308\) 16.2173 4.76184i 0.924069 0.271331i
\(309\) −0.0770990 0.0889770i −0.00438601 0.00506173i
\(310\) −3.33782 + 2.14509i −0.189576 + 0.121833i
\(311\) −6.99976 + 4.49847i −0.396920 + 0.255085i −0.723841 0.689967i \(-0.757625\pi\)
0.326921 + 0.945052i \(0.393989\pi\)
\(312\) −4.55681 5.25884i −0.257979 0.297723i
\(313\) −19.6564 + 5.77163i −1.11104 + 0.326232i −0.785232 0.619202i \(-0.787456\pi\)
−0.325813 + 0.945434i \(0.605638\pi\)
\(314\) 0.628168 4.36900i 0.0354496 0.246557i
\(315\) −2.94698 + 3.40099i −0.166043 + 0.191624i
\(316\) 1.65342 3.62049i 0.0930122 0.203668i
\(317\) 28.9344 + 8.49590i 1.62512 + 0.477177i 0.962387 0.271682i \(-0.0875797\pi\)
0.662730 + 0.748859i \(0.269398\pi\)
\(318\) 1.62878 + 3.56653i 0.0913373 + 0.200001i
\(319\) 2.67511 + 18.6058i 0.149777 + 1.04172i
\(320\) −0.841254 0.540641i −0.0470275 0.0302227i
\(321\) 10.4043 0.580713
\(322\) 0.198080 + 21.5811i 0.0110385 + 1.20267i
\(323\) 16.7055 0.929519
\(324\) 0.841254 + 0.540641i 0.0467363 + 0.0300356i
\(325\) 0.990289 + 6.88761i 0.0549314 + 0.382056i
\(326\) −2.33597 5.11506i −0.129377 0.283297i
\(327\) 19.2940 + 5.66523i 1.06696 + 0.313288i
\(328\) −0.914940 + 2.00344i −0.0505191 + 0.110621i
\(329\) −12.0082 + 13.8582i −0.662033 + 0.764027i
\(330\) −0.534516 + 3.71764i −0.0294241 + 0.204649i
\(331\) −20.1419 + 5.91420i −1.10710 + 0.325074i −0.783670 0.621178i \(-0.786655\pi\)
−0.323431 + 0.946252i \(0.604836\pi\)
\(332\) −9.98376 11.5219i −0.547930 0.632345i
\(333\) −6.32339 + 4.06379i −0.346519 + 0.222695i
\(334\) −13.6711 + 8.78586i −0.748047 + 0.480741i
\(335\) 0.674297 + 0.778180i 0.0368408 + 0.0425165i
\(336\) 4.31787 1.26784i 0.235559 0.0691664i
\(337\) 4.82099 33.5307i 0.262616 1.82653i −0.250386 0.968146i \(-0.580557\pi\)
0.513001 0.858388i \(-0.328534\pi\)
\(338\) 23.1951 26.7686i 1.26165 1.45602i
\(339\) −3.21381 + 7.03727i −0.174550 + 0.382212i
\(340\) −6.72327 1.97413i −0.364620 0.107062i
\(341\) −6.19055 13.5554i −0.335237 0.734067i
\(342\) −0.339290 2.35981i −0.0183467 0.127604i
\(343\) −23.6665 15.2095i −1.27787 0.821237i
\(344\) 8.86240 0.477829
\(345\) −4.38054 1.95214i −0.235841 0.105100i
\(346\) −1.70299 −0.0915533
\(347\) −7.31702 4.70236i −0.392798 0.252436i 0.329302 0.944225i \(-0.393187\pi\)
−0.722100 + 0.691789i \(0.756823\pi\)
\(348\) 0.712247 + 4.95379i 0.0381805 + 0.265551i
\(349\) −3.81184 8.34677i −0.204043 0.446792i 0.779752 0.626089i \(-0.215345\pi\)
−0.983795 + 0.179296i \(0.942618\pi\)
\(350\) −4.31787 1.26784i −0.230800 0.0677690i
\(351\) −2.89064 + 6.32962i −0.154291 + 0.337850i
\(352\) 2.45957 2.83850i 0.131096 0.151292i
\(353\) −0.547749 + 3.80968i −0.0291537 + 0.202769i −0.999192 0.0401820i \(-0.987206\pi\)
0.970039 + 0.242951i \(0.0781153\pi\)
\(354\) 10.4581 3.07077i 0.555840 0.163209i
\(355\) −3.26398 3.76683i −0.173234 0.199922i
\(356\) −10.8507 + 6.97332i −0.575086 + 0.369585i
\(357\) 26.5273 17.0481i 1.40397 0.902280i
\(358\) 8.55980 + 9.87854i 0.452400 + 0.522097i
\(359\) −12.0921 + 3.55056i −0.638196 + 0.187391i −0.584794 0.811182i \(-0.698825\pi\)
−0.0534020 + 0.998573i \(0.517006\pi\)
\(360\) −0.142315 + 0.989821i −0.00750065 + 0.0521682i
\(361\) 8.72023 10.0637i 0.458960 0.529668i
\(362\) −8.24860 + 18.0619i −0.433537 + 0.949314i
\(363\) −2.98070 0.875214i −0.156446 0.0459368i
\(364\) 13.0083 + 28.4843i 0.681822 + 1.49298i
\(365\) −0.887441 6.17229i −0.0464508 0.323072i
\(366\) 11.2056 + 7.20142i 0.585728 + 0.376424i
\(367\) −9.04072 −0.471922 −0.235961 0.971763i \(-0.575824\pi\)
−0.235961 + 0.971763i \(0.575824\pi\)
\(368\) 2.62974 + 4.01054i 0.137085 + 0.209064i
\(369\) 2.20247 0.114656
\(370\) −6.32339 4.06379i −0.328737 0.211267i
\(371\) −2.51106 17.4648i −0.130368 0.906729i
\(372\) −1.64823 3.60913i −0.0854569 0.187125i
\(373\) 22.6519 + 6.65120i 1.17287 + 0.344386i 0.809421 0.587228i \(-0.199781\pi\)
0.363449 + 0.931614i \(0.381599\pi\)
\(374\) 10.9328 23.9395i 0.565321 1.23788i
\(375\) 0.654861 0.755750i 0.0338169 0.0390267i
\(376\) −0.579898 + 4.03328i −0.0299059 + 0.208000i
\(377\) −33.4144 + 9.81137i −1.72093 + 0.505311i
\(378\) −2.94698 3.40099i −0.151576 0.174928i
\(379\) −24.7485 + 15.9049i −1.27124 + 0.816979i −0.989781 0.142593i \(-0.954456\pi\)
−0.281463 + 0.959572i \(0.590820\pi\)
\(380\) 2.00562 1.28893i 0.102886 0.0661208i
\(381\) 8.70772 + 10.0492i 0.446110 + 0.514839i
\(382\) −6.26972 + 1.84095i −0.320787 + 0.0941914i
\(383\) −1.91168 + 13.2961i −0.0976825 + 0.679396i 0.880864 + 0.473370i \(0.156963\pi\)
−0.978546 + 0.206027i \(0.933947\pi\)
\(384\) 0.654861 0.755750i 0.0334182 0.0385667i
\(385\) 7.02134 15.3746i 0.357841 0.783562i
\(386\) 3.55126 + 1.04275i 0.180755 + 0.0530743i
\(387\) −3.68158 8.06153i −0.187145 0.409790i
\(388\) 0.927844 + 6.45330i 0.0471041 + 0.327616i
\(389\) −14.7126 9.45523i −0.745959 0.479399i 0.111620 0.993751i \(-0.464396\pi\)
−0.857579 + 0.514352i \(0.828032\pi\)
\(390\) −6.95844 −0.352354
\(391\) 25.5978 + 21.7725i 1.29454 + 1.10108i
\(392\) −13.2514 −0.669298
\(393\) −6.40784 4.11807i −0.323233 0.207729i
\(394\) −1.80523 12.5556i −0.0909461 0.632544i
\(395\) −1.65342 3.62049i −0.0831926 0.182166i
\(396\) −3.60373 1.05815i −0.181094 0.0531740i
\(397\) 8.11992 17.7802i 0.407527 0.892360i −0.588924 0.808188i \(-0.700448\pi\)
0.996451 0.0841718i \(-0.0268245\pi\)
\(398\) 3.36785 3.88671i 0.168815 0.194823i
\(399\) −1.52686 + 10.6195i −0.0764385 + 0.531642i
\(400\) −0.959493 + 0.281733i −0.0479746 + 0.0140866i
\(401\) 13.5061 + 15.5869i 0.674464 + 0.778373i 0.985068 0.172167i \(-0.0550768\pi\)
−0.310604 + 0.950539i \(0.600531\pi\)
\(402\) −0.866222 + 0.556687i −0.0432032 + 0.0277650i
\(403\) 23.2261 14.9265i 1.15697 0.743541i
\(404\) 2.86697 + 3.30866i 0.142637 + 0.164612i
\(405\) 0.959493 0.281733i 0.0476776 0.0139994i
\(406\) 3.20523 22.2928i 0.159073 1.10637i
\(407\) 18.4877 21.3359i 0.916400 1.05758i
\(408\) 2.91086 6.37389i 0.144109 0.315554i
\(409\) −6.72040 1.97329i −0.332303 0.0975728i 0.111325 0.993784i \(-0.464491\pi\)
−0.443628 + 0.896211i \(0.646309\pi\)
\(410\) 0.914940 + 2.00344i 0.0451856 + 0.0989428i
\(411\) −0.0650594 0.452498i −0.00320915 0.0223201i
\(412\) 0.0990437 + 0.0636515i 0.00487953 + 0.00313589i
\(413\) −49.0499 −2.41359
\(414\) 2.55568 4.05814i 0.125605 0.199447i
\(415\) −15.2456 −0.748378
\(416\) 5.85381 + 3.76202i 0.287007 + 0.184448i
\(417\) 0.507462 + 3.52947i 0.0248505 + 0.172839i
\(418\) 3.71975 + 8.14511i 0.181939 + 0.398390i
\(419\) −31.9607 9.38450i −1.56138 0.458463i −0.616904 0.787038i \(-0.711613\pi\)
−0.944478 + 0.328575i \(0.893432\pi\)
\(420\) 1.86943 4.09349i 0.0912190 0.199742i
\(421\) −14.5762 + 16.8218i −0.710400 + 0.819846i −0.990118 0.140237i \(-0.955214\pi\)
0.279718 + 0.960082i \(0.409759\pi\)
\(422\) 0.322738 2.24469i 0.0157106 0.109270i
\(423\) 3.90970 1.14799i 0.190096 0.0558172i
\(424\) −2.56761 2.96318i −0.124694 0.143905i
\(425\) −5.89475 + 3.78833i −0.285938 + 0.183761i
\(426\) 4.19300 2.69468i 0.203151 0.130558i
\(427\) −39.2542 45.3018i −1.89964 2.19231i
\(428\) −9.98288 + 2.93124i −0.482541 + 0.141687i
\(429\) 3.71940 25.8690i 0.179574 1.24897i
\(430\) 5.80364 6.69776i 0.279876 0.322995i
\(431\) 0.409021 0.895632i 0.0197019 0.0431411i −0.899525 0.436869i \(-0.856087\pi\)
0.919227 + 0.393728i \(0.128815\pi\)
\(432\) −0.959493 0.281733i −0.0461636 0.0135549i
\(433\) −2.31200 5.06257i −0.111108 0.243292i 0.845908 0.533329i \(-0.179059\pi\)
−0.957015 + 0.290038i \(0.906332\pi\)
\(434\) 2.54106 + 17.6734i 0.121975 + 0.848353i
\(435\) 4.21025 + 2.70576i 0.201866 + 0.129731i
\(436\) −20.1086 −0.963025
\(437\) −11.3019 + 1.73098i −0.540641 + 0.0828040i
\(438\) 6.23576 0.297956
\(439\) 23.3856 + 15.0290i 1.11613 + 0.717295i 0.962621 0.270852i \(-0.0873055\pi\)
0.153511 + 0.988147i \(0.450942\pi\)
\(440\) −0.534516 3.71764i −0.0254820 0.177231i
\(441\) 5.50484 + 12.0539i 0.262135 + 0.573996i
\(442\) 46.7835 + 13.7369i 2.22526 + 0.653396i
\(443\) 7.35780 16.1113i 0.349580 0.765473i −0.650403 0.759589i \(-0.725400\pi\)
0.999983 0.00588337i \(-0.00187275\pi\)
\(444\) 4.92234 5.68069i 0.233604 0.269593i
\(445\) −1.83561 + 12.7670i −0.0870163 + 0.605212i
\(446\) 11.7987 3.46440i 0.558683 0.164044i
\(447\) −2.48072 2.86290i −0.117334 0.135411i
\(448\) −3.78577 + 2.43297i −0.178861 + 0.114947i
\(449\) 20.5880 13.2311i 0.971609 0.624415i 0.0444217 0.999013i \(-0.485855\pi\)
0.927187 + 0.374598i \(0.122219\pi\)
\(450\) 0.654861 + 0.755750i 0.0308704 + 0.0356264i
\(451\) −7.93711 + 2.33054i −0.373744 + 0.109741i
\(452\) 1.10100 7.65765i 0.0517869 0.360185i
\(453\) 8.19411 9.45651i 0.384993 0.444306i
\(454\) 1.69734 3.71665i 0.0796599 0.174431i
\(455\) 30.0456 + 8.82220i 1.40856 + 0.413591i
\(456\) 0.990383 + 2.16864i 0.0463789 + 0.101556i
\(457\) 2.29012 + 15.9281i 0.107127 + 0.745087i 0.970601 + 0.240694i \(0.0773749\pi\)
−0.863474 + 0.504394i \(0.831716\pi\)
\(458\) 10.2131 + 6.56353i 0.477225 + 0.306694i
\(459\) −7.00711 −0.327064
\(460\) 4.75308 + 0.638921i 0.221614 + 0.0297898i
\(461\) 7.38655 0.344026 0.172013 0.985095i \(-0.444973\pi\)
0.172013 + 0.985095i \(0.444973\pi\)
\(462\) 14.2189 + 9.13791i 0.661521 + 0.425134i
\(463\) 0.0233132 + 0.162147i 0.00108346 + 0.00753560i 0.990356 0.138546i \(-0.0442429\pi\)
−0.989273 + 0.146082i \(0.953334\pi\)
\(464\) −2.07904 4.55246i −0.0965170 0.211343i
\(465\) −3.80696 1.11782i −0.176544 0.0518379i
\(466\) 7.74473 16.9586i 0.358768 0.785592i
\(467\) 10.6615 12.3040i 0.493354 0.569361i −0.453405 0.891305i \(-0.649791\pi\)
0.946759 + 0.321944i \(0.104336\pi\)
\(468\) 0.990289 6.88761i 0.0457761 0.318380i
\(469\) 4.44602 1.30547i 0.205298 0.0602810i
\(470\) 2.66840 + 3.07949i 0.123084 + 0.142046i
\(471\) 3.71324 2.38635i 0.171097 0.109957i
\(472\) −9.16931 + 5.89276i −0.422052 + 0.271236i
\(473\) 21.7977 + 25.1559i 1.00226 + 1.15667i
\(474\) 3.81894 1.12134i 0.175410 0.0515050i
\(475\) 0.339290 2.35981i 0.0155677 0.108276i
\(476\) −20.6498 + 23.8311i −0.946481 + 1.09230i
\(477\) −1.62878 + 3.56653i −0.0745766 + 0.163300i
\(478\) 2.19543 + 0.644637i 0.100417 + 0.0294850i
\(479\) 5.15018 + 11.2773i 0.235318 + 0.515274i 0.990043 0.140767i \(-0.0449569\pi\)
−0.754725 + 0.656042i \(0.772230\pi\)
\(480\) −0.142315 0.989821i −0.00649575 0.0451790i
\(481\) 44.0009 + 28.2777i 2.00627 + 1.28935i
\(482\) 13.1159 0.597415
\(483\) −16.1802 + 14.2823i −0.736224 + 0.649867i
\(484\) 3.10654 0.141206
\(485\) 5.48468 + 3.52479i 0.249047 + 0.160053i
\(486\) 0.142315 + 0.989821i 0.00645553 + 0.0448992i
\(487\) 15.8612 + 34.7313i 0.718742 + 1.57382i 0.815659 + 0.578532i \(0.196374\pi\)
−0.0969178 + 0.995292i \(0.530898\pi\)
\(488\) −12.7806 3.75272i −0.578550 0.169878i
\(489\) 2.33597 5.11506i 0.105636 0.231311i
\(490\) −8.67784 + 10.0148i −0.392025 + 0.452421i
\(491\) 3.61330 25.1311i 0.163066 1.13415i −0.729746 0.683719i \(-0.760362\pi\)
0.892812 0.450430i \(-0.148729\pi\)
\(492\) −2.11326 + 0.620508i −0.0952729 + 0.0279747i
\(493\) −22.9651 26.5031i −1.03430 1.19364i
\(494\) −13.9560 + 8.96895i −0.627908 + 0.403532i
\(495\) −3.15964 + 2.03058i −0.142015 + 0.0912676i
\(496\) 2.59828 + 2.99857i 0.116666 + 0.134640i
\(497\) −21.5212 + 6.31921i −0.965360 + 0.283455i
\(498\) 2.16968 15.0904i 0.0972256 0.676219i
\(499\) 23.8043 27.4716i 1.06563 1.22980i 0.0934322 0.995626i \(-0.470216\pi\)
0.972195 0.234173i \(-0.0752384\pi\)
\(500\) −0.415415 + 0.909632i −0.0185779 + 0.0406800i
\(501\) −15.5926 4.57839i −0.696624 0.204547i
\(502\) 1.78162 + 3.90121i 0.0795176 + 0.174119i
\(503\) 1.24830 + 8.68212i 0.0556590 + 0.387117i 0.998541 + 0.0539910i \(0.0171942\pi\)
−0.942882 + 0.333126i \(0.891897\pi\)
\(504\) 3.78577 + 2.43297i 0.168632 + 0.108373i
\(505\) 4.37798 0.194818
\(506\) −4.91587 + 17.3287i −0.218537 + 0.770356i
\(507\) 35.4199 1.57305
\(508\) −11.1862 7.18893i −0.496307 0.318957i
\(509\) 0.746880 + 5.19467i 0.0331049 + 0.230250i 0.999656 0.0262242i \(-0.00834838\pi\)
−0.966551 + 0.256474i \(0.917439\pi\)
\(510\) −2.91086 6.37389i −0.128895 0.282240i
\(511\) −26.9252 7.90595i −1.19110 0.349739i
\(512\) −0.415415 + 0.909632i −0.0183589 + 0.0402004i
\(513\) 1.56124 1.80177i 0.0689304 0.0795500i
\(514\) 2.78490 19.3694i 0.122837 0.854347i
\(515\) 0.112964 0.0331694i 0.00497781 0.00146162i
\(516\) 5.80364 + 6.69776i 0.255491 + 0.294852i
\(517\) −12.8747 + 8.27409i −0.566230 + 0.363894i
\(518\) −28.4562 + 18.2877i −1.25030 + 0.803516i
\(519\) −1.11522 1.28703i −0.0489528 0.0564945i
\(520\) 6.67657 1.96042i 0.292787 0.0859701i
\(521\) 3.31202 23.0356i 0.145102 1.00921i −0.778989 0.627038i \(-0.784267\pi\)
0.924091 0.382172i \(-0.124824\pi\)
\(522\) −3.27740 + 3.78232i −0.143448 + 0.165548i
\(523\) −17.4732 + 38.2610i −0.764051 + 1.67304i −0.0247216 + 0.999694i \(0.507870\pi\)
−0.739329 + 0.673344i \(0.764857\pi\)
\(524\) 7.30847 + 2.14596i 0.319272 + 0.0937467i
\(525\) −1.86943 4.09349i −0.0815888 0.178654i
\(526\) −2.58021 17.9457i −0.112502 0.782471i
\(527\) 23.3885 + 15.0309i 1.01882 + 0.654755i
\(528\) 3.75587 0.163453
\(529\) −19.5738 12.0775i −0.851035 0.525108i
\(530\) −3.92085 −0.170311
\(531\) 9.16931 + 5.89276i 0.397914 + 0.255724i
\(532\) −1.52686 10.6195i −0.0661977 0.460415i
\(533\) −6.36655 13.9408i −0.275766 0.603843i
\(534\) −12.3758 3.63385i −0.535552 0.157252i
\(535\) −4.32212 + 9.46411i −0.186861 + 0.409169i
\(536\) 0.674297 0.778180i 0.0291252 0.0336123i
\(537\) −1.86022 + 12.9381i −0.0802746 + 0.558322i
\(538\) −7.68380 + 2.25617i −0.331272 + 0.0972702i
\(539\) −32.5928 37.6141i −1.40387 1.62015i
\(540\) −0.841254 + 0.540641i −0.0362018 + 0.0232655i
\(541\) −15.5404 + 9.98719i −0.668133 + 0.429383i −0.830252 0.557388i \(-0.811803\pi\)
0.162119 + 0.986771i \(0.448167\pi\)
\(542\) 17.3239 + 19.9929i 0.744126 + 0.858767i
\(543\) −19.0520 + 5.59417i −0.817599 + 0.240069i
\(544\) −0.997215 + 6.93578i −0.0427552 + 0.297369i
\(545\) −13.1683 + 15.1970i −0.564068 + 0.650969i
\(546\) −13.0083 + 28.4843i −0.556706 + 1.21902i
\(547\) −17.4482 5.12325i −0.746031 0.219054i −0.113445 0.993544i \(-0.536188\pi\)
−0.632586 + 0.774490i \(0.718007\pi\)
\(548\) 0.189908 + 0.415840i 0.00811245 + 0.0177638i
\(549\) 1.89566 + 13.1846i 0.0809046 + 0.562704i
\(550\) −3.15964 2.03058i −0.134727 0.0865840i
\(551\) 11.9317 0.508306
\(552\) −1.30885 + 4.61377i −0.0557084 + 0.196375i
\(553\) −17.9114 −0.761669
\(554\) 2.32243 + 1.49253i 0.0986705 + 0.0634117i
\(555\) −1.06973 7.44012i −0.0454074 0.315815i
\(556\) −1.48127 3.24354i −0.0628200 0.137557i
\(557\) −22.4784 6.60026i −0.952441 0.279662i −0.231638 0.972802i \(-0.574409\pi\)
−0.720803 + 0.693140i \(0.756227\pi\)
\(558\) 1.64823 3.60913i 0.0697753 0.152787i
\(559\) −40.3843 + 46.6060i −1.70807 + 1.97122i
\(560\) −0.640439 + 4.45435i −0.0270635 + 0.188231i
\(561\) 25.2517 7.41457i 1.06613 0.313043i
\(562\) −18.5602 21.4196i −0.782914 0.903531i
\(563\) 34.7450 22.3293i 1.46433 0.941067i 0.465911 0.884832i \(-0.345727\pi\)
0.998418 0.0562351i \(-0.0179096\pi\)
\(564\) −3.42790 + 2.20298i −0.144341 + 0.0927621i
\(565\) −5.06626 5.84678i −0.213139 0.245976i
\(566\) −19.8896 + 5.84013i −0.836024 + 0.245479i
\(567\) 0.640439 4.45435i 0.0268959 0.187065i
\(568\) −3.26398 + 3.76683i −0.136953 + 0.158053i
\(569\) 18.9572 41.5106i 0.794729 1.74021i 0.132140 0.991231i \(-0.457815\pi\)
0.662589 0.748983i \(-0.269458\pi\)
\(570\) 2.28751 + 0.671673i 0.0958132 + 0.0281333i
\(571\) 13.2347 + 28.9800i 0.553856 + 1.21278i 0.954957 + 0.296743i \(0.0959004\pi\)
−0.401101 + 0.916034i \(0.631372\pi\)
\(572\) 3.71940 + 25.8690i 0.155516 + 1.08164i
\(573\) −5.49709 3.53277i −0.229644 0.147583i
\(574\) 9.91147 0.413697
\(575\) 3.59547 3.17373i 0.149941 0.132354i
\(576\) 1.00000 0.0416667
\(577\) 16.3426 + 10.5027i 0.680350 + 0.437234i 0.834643 0.550791i \(-0.185674\pi\)
−0.154294 + 0.988025i \(0.549310\pi\)
\(578\) 4.56824 + 31.7728i 0.190014 + 1.32157i
\(579\) 1.53753 + 3.36672i 0.0638975 + 0.139916i
\(580\) −4.80200 1.41000i −0.199392 0.0585469i
\(581\) −28.5007 + 62.4078i −1.18241 + 2.58911i
\(582\) −4.26947 + 4.92723i −0.176975 + 0.204240i
\(583\) 2.09575 14.5763i 0.0867972 0.603688i
\(584\) −5.98317 + 1.75682i −0.247585 + 0.0726976i
\(585\) −4.55681 5.25884i −0.188401 0.217426i
\(586\) −7.74658 + 4.97842i −0.320008 + 0.205657i
\(587\) −5.06170 + 3.25296i −0.208919 + 0.134264i −0.640916 0.767611i \(-0.721445\pi\)
0.431997 + 0.901875i \(0.357809\pi\)
\(588\) −8.67784 10.0148i −0.357868 0.413002i
\(589\) −9.07610 + 2.66498i −0.373974 + 0.109809i
\(590\) −1.55117 + 10.7886i −0.0638608 + 0.444161i
\(591\) 8.30675 9.58650i 0.341694 0.394336i
\(592\) −3.12252 + 6.83736i −0.128335 + 0.281014i
\(593\) −10.2187 3.00048i −0.419631 0.123215i 0.0650985 0.997879i \(-0.479264\pi\)
−0.484730 + 0.874664i \(0.661082\pi\)
\(594\) −1.56024 3.41646i −0.0640176 0.140179i
\(595\) 4.48763 + 31.2121i 0.183975 + 1.27957i
\(596\) 3.18680 + 2.04803i 0.130537 + 0.0838907i
\(597\) 5.14286 0.210483
\(598\) −33.0740 4.44589i −1.35250 0.181806i
\(599\) 18.2925 0.747411 0.373705 0.927547i \(-0.378087\pi\)
0.373705 + 0.927547i \(0.378087\pi\)
\(600\) −0.841254 0.540641i −0.0343440 0.0220716i
\(601\) 1.18991 + 8.27598i 0.0485373 + 0.337584i 0.999592 + 0.0285617i \(0.00909272\pi\)
−0.951055 + 0.309022i \(0.899998\pi\)
\(602\) −16.5677 36.2781i −0.675248 1.47859i
\(603\) −0.987970 0.290094i −0.0402333 0.0118136i
\(604\) −5.19799 + 11.3820i −0.211503 + 0.463127i
\(605\) 2.03435 2.34777i 0.0827081 0.0954503i
\(606\) −0.623052 + 4.33342i −0.0253097 + 0.176033i
\(607\) 15.9623 4.68697i 0.647891 0.190238i 0.0587560 0.998272i \(-0.481287\pi\)
0.589135 + 0.808034i \(0.299468\pi\)
\(608\) −1.56124 1.80177i −0.0633167 0.0730713i
\(609\) 18.9468 12.1764i 0.767762 0.493411i
\(610\) −11.2056 + 7.20142i −0.453703 + 0.291577i
\(611\) −18.5679 21.4285i −0.751176 0.866903i
\(612\) 6.72327 1.97413i 0.271772 0.0797995i
\(613\) −1.64374 + 11.4325i −0.0663900 + 0.461752i 0.929324 + 0.369266i \(0.120391\pi\)
−0.995714 + 0.0924869i \(0.970518\pi\)
\(614\) 6.14177 7.08798i 0.247862 0.286048i
\(615\) −0.914940 + 2.00344i −0.0368939 + 0.0807864i
\(616\) −16.2173 4.76184i −0.653416 0.191860i
\(617\) 5.31964 + 11.6484i 0.214161 + 0.468947i 0.985973 0.166904i \(-0.0533768\pi\)
−0.771812 + 0.635850i \(0.780650\pi\)
\(618\) 0.0167552 + 0.116535i 0.000673994 + 0.00468773i
\(619\) 8.13572 + 5.22851i 0.327002 + 0.210152i 0.693833 0.720136i \(-0.255921\pi\)
−0.366830 + 0.930288i \(0.619557\pi\)
\(620\) 3.96768 0.159346
\(621\) 4.74055 0.726057i 0.190232 0.0291357i
\(622\) 8.32063 0.333627
\(623\) 48.8298 + 31.3810i 1.95633 + 1.25725i
\(624\) 0.990289 + 6.88761i 0.0396433 + 0.275725i
\(625\) 0.415415 + 0.909632i 0.0166166 + 0.0363853i
\(626\) 19.6564 + 5.77163i 0.785627 + 0.230681i
\(627\) −3.71975 + 8.14511i −0.148552 + 0.325284i
\(628\) −2.89051 + 3.33583i −0.115344 + 0.133114i
\(629\) −7.49569 + 52.1337i −0.298873 + 2.07871i
\(630\) 4.31787 1.26784i 0.172028 0.0505120i
\(631\) 11.8139 + 13.6339i 0.470303 + 0.542758i 0.940496 0.339805i \(-0.110361\pi\)
−0.470193 + 0.882564i \(0.655816\pi\)
\(632\) −3.34833 + 2.15184i −0.133189 + 0.0855956i
\(633\) 1.90777 1.22605i 0.0758271 0.0487311i
\(634\) −19.7479 22.7903i −0.784290 0.905119i
\(635\) −12.7584 + 3.74622i −0.506303 + 0.148664i
\(636\) 0.557995 3.88094i 0.0221259 0.153889i
\(637\) 60.3842 69.6871i 2.39251 2.76110i
\(638\) 7.80860 17.0984i 0.309145 0.676934i
\(639\) 4.78233 + 1.40422i 0.189186 + 0.0555501i
\(640\) 0.415415 + 0.909632i 0.0164207 + 0.0359564i
\(641\) 6.03028 + 41.9415i 0.238182 + 1.65659i 0.661008 + 0.750379i \(0.270129\pi\)
−0.422826 + 0.906211i \(0.638962\pi\)
\(642\) −8.75268 5.62501i −0.345441 0.222001i
\(643\) −10.4846 −0.413471 −0.206735 0.978397i \(-0.566284\pi\)
−0.206735 + 0.978397i \(0.566284\pi\)
\(644\) 11.5010 18.2623i 0.453202 0.719634i
\(645\) 8.86240 0.348957
\(646\) −14.0536 9.03168i −0.552930 0.355347i
\(647\) 3.25231 + 22.6203i 0.127862 + 0.889297i 0.948258 + 0.317502i \(0.102844\pi\)
−0.820396 + 0.571796i \(0.806247\pi\)
\(648\) −0.415415 0.909632i −0.0163190 0.0357337i
\(649\) −39.2791 11.5334i −1.54184 0.452725i
\(650\) 2.89064 6.32962i 0.113380 0.248268i
\(651\) −11.6927 + 13.4940i −0.458271 + 0.528873i
\(652\) −0.800268 + 5.56599i −0.0313409 + 0.217981i
\(653\) 8.01077 2.35218i 0.313486 0.0920477i −0.121205 0.992627i \(-0.538676\pi\)
0.434691 + 0.900580i \(0.356858\pi\)
\(654\) −13.1683 15.1970i −0.514921 0.594251i
\(655\) 6.40784 4.11807i 0.250375 0.160906i
\(656\) 1.85284 1.19075i 0.0723411 0.0464908i
\(657\) 4.08355 + 4.71267i 0.159315 + 0.183859i
\(658\) 17.5942 5.16614i 0.685895 0.201397i
\(659\) −1.53180 + 10.6539i −0.0596705 + 0.415018i 0.937990 + 0.346661i \(0.112685\pi\)
−0.997661 + 0.0683565i \(0.978224\pi\)
\(660\) 2.45957 2.83850i 0.0957386 0.110488i
\(661\) −6.03448 + 13.2137i −0.234714 + 0.513953i −0.989936 0.141517i \(-0.954802\pi\)
0.755222 + 0.655470i \(0.227529\pi\)
\(662\) 20.1419 + 5.91420i 0.782838 + 0.229862i
\(663\) 20.2550 + 44.3523i 0.786640 + 1.72250i
\(664\) 2.16968 + 15.0904i 0.0841999 + 0.585623i
\(665\) −9.02559 5.80039i −0.349997 0.224930i
\(666\) 7.51662 0.291263
\(667\) 18.2829 + 15.5507i 0.707916 + 0.602126i
\(668\) 16.2508 0.628763
\(669\) 10.3447 + 6.64813i 0.399949 + 0.257032i
\(670\) −0.146539 1.01920i −0.00566128 0.0393751i
\(671\) −20.7827 45.5077i −0.802307 1.75681i
\(672\) −4.31787 1.26784i −0.166565 0.0489080i
\(673\) 8.40678 18.4083i 0.324057 0.709587i −0.675558 0.737307i \(-0.736097\pi\)
0.999616 + 0.0277198i \(0.00882461\pi\)
\(674\) −22.1837 + 25.6014i −0.854486 + 0.986129i
\(675\) −0.142315 + 0.989821i −0.00547770 + 0.0380982i
\(676\) −33.9851 + 9.97894i −1.30712 + 0.383805i
\(677\) 1.14274 + 1.31879i 0.0439191 + 0.0506853i 0.777284 0.629150i \(-0.216597\pi\)
−0.733365 + 0.679835i \(0.762051\pi\)
\(678\) 6.50827 4.18261i 0.249949 0.160632i
\(679\) 24.6819 15.8621i 0.947206 0.608732i
\(680\) 4.58868 + 5.29562i 0.175968 + 0.203078i
\(681\) 3.92037 1.15113i 0.150229 0.0441112i
\(682\) −2.12079 + 14.7504i −0.0812091 + 0.564822i
\(683\) 31.6833 36.5644i 1.21233 1.39910i 0.320178 0.947357i \(-0.396257\pi\)
0.892148 0.451742i \(-0.149197\pi\)
\(684\) −0.990383 + 2.16864i −0.0378682 + 0.0829199i
\(685\) 0.438634 + 0.128794i 0.0167593 + 0.00492098i
\(686\) 11.6866 + 25.5901i 0.446197 + 0.977035i
\(687\) 1.72774 + 12.0167i 0.0659175 + 0.458466i
\(688\) −7.45553 4.79138i −0.284239 0.182670i
\(689\) 27.2830 1.03940
\(690\) 2.62974 + 4.01054i 0.100113 + 0.152679i
\(691\) 4.72484 0.179742 0.0898708 0.995953i \(-0.471355\pi\)
0.0898708 + 0.995953i \(0.471355\pi\)
\(692\) 1.43265 + 0.920706i 0.0544610 + 0.0350000i
\(693\) 2.40540 + 16.7300i 0.0913738 + 0.635519i
\(694\) 3.61318 + 7.91176i 0.137154 + 0.300326i
\(695\) −3.42133 1.00459i −0.129778 0.0381064i
\(696\) 2.07904 4.55246i 0.0788058 0.172561i
\(697\) 10.1064 11.6634i 0.382808 0.441784i
\(698\) −1.30588 + 9.08259i −0.0494282 + 0.343781i
\(699\) 17.8882 5.25244i 0.676593 0.198666i
\(700\) 2.94698 + 3.40099i 0.111385 + 0.128545i
\(701\) −34.1016 + 21.9157i −1.28800 + 0.827746i −0.991852 0.127396i \(-0.959338\pi\)
−0.296146 + 0.955143i \(0.595702\pi\)
\(702\) 5.85381 3.76202i 0.220938 0.141988i
\(703\) −11.7353 13.5432i −0.442604 0.510792i
\(704\) −3.60373 + 1.05815i −0.135821 + 0.0398805i
\(705\) −0.579898 + 4.03328i −0.0218402 + 0.151902i
\(706\) 2.52046 2.90877i 0.0948589 0.109473i
\(707\) 8.18434 17.9212i 0.307804 0.673996i
\(708\) −10.4581 3.07077i −0.393039 0.115407i
\(709\) −14.0992 30.8729i −0.529505 1.15945i −0.965714 0.259609i \(-0.916406\pi\)
0.436208 0.899846i \(-0.356321\pi\)
\(710\) 0.709330 + 4.93350i 0.0266207 + 0.185151i
\(711\) 3.34833 + 2.15184i 0.125572 + 0.0807003i
\(712\) 12.8982 0.483382
\(713\) −17.3806 7.74546i −0.650908 0.290070i
\(714\) −31.5331 −1.18010
\(715\) 21.9861 + 14.1296i 0.822235 + 0.528418i
\(716\) −1.86022 12.9381i −0.0695198 0.483521i
\(717\) 0.950518 + 2.08135i 0.0354978 + 0.0777293i
\(718\) 12.0921 + 3.55056i 0.451273 + 0.132506i
\(719\) −3.66978 + 8.03570i −0.136860 + 0.299681i −0.965636 0.259900i \(-0.916310\pi\)
0.828776 + 0.559581i \(0.189038\pi\)
\(720\) 0.654861 0.755750i 0.0244052 0.0281651i
\(721\) 0.0754011 0.524426i 0.00280809 0.0195307i
\(722\) −12.7768 + 3.75160i −0.475502 + 0.139620i
\(723\) 8.58912 + 9.91237i 0.319433 + 0.368645i
\(724\) 16.7042 10.7351i 0.620806 0.398968i
\(725\) −4.21025 + 2.70576i −0.156365 + 0.100489i
\(726\) 2.03435 + 2.34777i 0.0755019 + 0.0871338i
\(727\) −25.6959 + 7.54500i −0.953009 + 0.279829i −0.721039 0.692894i \(-0.756335\pi\)
−0.231970 + 0.972723i \(0.574517\pi\)
\(728\) 4.45646 30.9953i 0.165167 1.14876i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −2.59043 + 5.67225i −0.0958760 + 0.209939i
\(731\) −59.5843 17.4955i −2.20381 0.647096i
\(732\) −5.53339 12.1164i −0.204520 0.447837i
\(733\) −5.35920 37.2740i −0.197946 1.37675i −0.810231 0.586110i \(-0.800658\pi\)
0.612285 0.790637i \(-0.290251\pi\)
\(734\) 7.60554 + 4.88778i 0.280726 + 0.180411i
\(735\) −13.2514 −0.488786
\(736\) −0.0440162 4.79563i −0.00162246 0.176769i
\(737\) 3.86734 0.142455
\(738\) −1.85284 1.19075i −0.0682039 0.0438320i
\(739\) −7.18194 49.9515i −0.264192 1.83750i −0.500402 0.865793i \(-0.666814\pi\)
0.236210 0.971702i \(-0.424095\pi\)
\(740\) 3.12252 + 6.83736i 0.114786 + 0.251346i
\(741\) −15.9175 4.67380i −0.584744 0.171696i
\(742\) −7.32976 + 16.0499i −0.269084 + 0.589212i
\(743\) −16.5935 + 19.1499i −0.608757 + 0.702543i −0.973531 0.228553i \(-0.926601\pi\)
0.364775 + 0.931096i \(0.381146\pi\)
\(744\) −0.564660 + 3.92729i −0.0207014 + 0.143982i
\(745\) 3.63471 1.06725i 0.133166 0.0391009i
\(746\) −15.4601 17.8419i −0.566034 0.653238i
\(747\) 12.8254 8.24241i 0.469258 0.301574i
\(748\) −22.1399 + 14.2285i −0.809515 + 0.520244i
\(749\) 30.6613 + 35.3851i 1.12034 + 1.29294i
\(750\) −0.959493 + 0.281733i −0.0350357 + 0.0102874i
\(751\) −3.23661 + 22.5111i −0.118106 + 0.821442i 0.841533 + 0.540206i \(0.181654\pi\)
−0.959638 + 0.281237i \(0.909255\pi\)
\(752\) 2.66840 3.07949i 0.0973064 0.112298i
\(753\) −1.78162 + 3.90121i −0.0649259 + 0.142168i
\(754\) 33.4144 + 9.81137i 1.21688 + 0.357309i
\(755\) 5.19799 + 11.3820i 0.189174 + 0.414233i
\(756\) 0.640439 + 4.45435i 0.0232926 + 0.162003i
\(757\) 23.9947 + 15.4204i 0.872102 + 0.560466i 0.898395 0.439189i \(-0.144734\pi\)
−0.0262932 + 0.999654i \(0.508370\pi\)
\(758\) 29.4186 1.06853
\(759\) −16.3154 + 7.63273i −0.592211 + 0.277051i
\(760\) −2.38408 −0.0864797
\(761\) −34.6233 22.2511i −1.25509 0.806600i −0.267490 0.963561i \(-0.586194\pi\)
−0.987605 + 0.156961i \(0.949830\pi\)
\(762\) −1.89237 13.1617i −0.0685533 0.476799i
\(763\) 37.5916 + 82.3141i 1.36091 + 2.97997i
\(764\) 6.26972 + 1.84095i 0.226830 + 0.0666034i
\(765\) 2.91086 6.37389i 0.105242 0.230448i
\(766\) 8.79660 10.1518i 0.317834 0.366800i
\(767\) 10.7937 75.0721i 0.389739 2.71070i
\(768\) −0.959493 + 0.281733i −0.0346227 + 0.0101661i
\(769\) 3.46075 + 3.99392i 0.124798 + 0.144024i 0.814710 0.579869i \(-0.196896\pi\)
−0.689912 + 0.723893i \(0.742351\pi\)
\(770\) −14.2189 + 9.13791i −0.512412 + 0.329307i
\(771\) 16.4621 10.5796i 0.592869 0.381014i
\(772\) −2.42376 2.79717i −0.0872331 0.100672i
\(773\) −12.9377 + 3.79884i −0.465336 + 0.136635i −0.505992 0.862538i \(-0.668873\pi\)
0.0406559 + 0.999173i \(0.487055\pi\)