Properties

Label 225.2.q.a.106.15
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 106.15
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.199788 + 0.0424663i) q^{2} +(-1.41543 + 0.998284i) q^{3} +(-1.78898 - 0.796505i) q^{4} +(2.05076 - 0.891283i) q^{5} +(-0.325178 + 0.139337i) q^{6} +(0.530047 - 0.918069i) q^{7} +(-0.654078 - 0.475215i) q^{8} +(1.00686 - 2.82599i) q^{9} +O(q^{10})\) \(q+(0.199788 + 0.0424663i) q^{2} +(-1.41543 + 0.998284i) q^{3} +(-1.78898 - 0.796505i) q^{4} +(2.05076 - 0.891283i) q^{5} +(-0.325178 + 0.139337i) q^{6} +(0.530047 - 0.918069i) q^{7} +(-0.654078 - 0.475215i) q^{8} +(1.00686 - 2.82599i) q^{9} +(0.447567 - 0.0909796i) q^{10} +(5.73044 + 1.21804i) q^{11} +(3.32730 - 0.658517i) q^{12} +(3.20126 - 0.680450i) q^{13} +(0.144884 - 0.160910i) q^{14} +(-2.01294 + 3.30879i) q^{15} +(2.51020 + 2.78785i) q^{16} +(-5.93589 - 4.31267i) q^{17} +(0.321167 - 0.521842i) q^{18} +(2.26837 + 1.64806i) q^{19} +(-4.37868 - 0.0389529i) q^{20} +(0.166251 + 1.82860i) q^{21} +(1.09315 + 0.486701i) q^{22} +(-0.406078 + 0.450996i) q^{23} +(1.40020 + 0.0196762i) q^{24} +(3.41123 - 3.65561i) q^{25} +0.668470 q^{26} +(1.39601 + 5.00511i) q^{27} +(-1.67949 + 1.22022i) q^{28} +(-0.865105 - 8.23092i) q^{29} +(-0.542674 + 0.575574i) q^{30} +(0.439429 - 4.18089i) q^{31} +(1.19160 + 2.06392i) q^{32} +(-9.32696 + 3.99656i) q^{33} +(-1.00278 - 1.11370i) q^{34} +(0.268740 - 2.35516i) q^{35} +(-4.05216 + 4.25368i) q^{36} +(-3.21237 + 9.88666i) q^{37} +(0.383205 + 0.425593i) q^{38} +(-3.85187 + 4.15890i) q^{39} +(-1.76491 - 0.391584i) q^{40} +(-6.31810 + 1.34295i) q^{41} +(-0.0444386 + 0.372391i) q^{42} +(1.32582 - 2.29639i) q^{43} +(-9.28146 - 6.74338i) q^{44} +(-0.453939 - 6.69283i) q^{45} +(-0.100282 + 0.0728589i) q^{46} +(0.0694379 + 0.660658i) q^{47} +(-6.33607 - 1.44011i) q^{48} +(2.93810 + 5.08894i) q^{49} +(0.836763 - 0.585486i) q^{50} +(12.7071 + 0.178565i) q^{51} +(-6.26897 - 1.33251i) q^{52} +(-5.03668 + 3.65936i) q^{53} +(0.0663586 + 1.05924i) q^{54} +(12.8374 - 2.60953i) q^{55} +(-0.782972 + 0.348602i) q^{56} +(-4.85594 - 0.0682377i) q^{57} +(0.176699 - 1.68118i) q^{58} +(0.348744 - 0.0741279i) q^{59} +(6.23658 - 4.31603i) q^{60} +(6.89054 + 1.46463i) q^{61} +(0.265339 - 0.816631i) q^{62} +(-2.06077 - 2.42227i) q^{63} +(-2.16809 - 6.67269i) q^{64} +(5.95855 - 4.24867i) q^{65} +(-2.03313 + 0.402384i) q^{66} +(-1.16657 + 11.0992i) q^{67} +(7.18411 + 12.4432i) q^{68} +(0.124552 - 1.04373i) q^{69} +(0.153706 - 0.459120i) q^{70} +(-3.31446 + 2.40810i) q^{71} +(-2.00152 + 1.36995i) q^{72} +(-2.32007 - 7.14044i) q^{73} +(-1.06164 + 1.83882i) q^{74} +(-1.17900 + 8.57963i) q^{75} +(-2.74537 - 4.75512i) q^{76} +(4.15565 - 4.61532i) q^{77} +(-0.946170 + 0.667323i) q^{78} +(1.19614 + 11.3805i) q^{79} +(7.63258 + 3.47992i) q^{80} +(-6.97248 - 5.69074i) q^{81} -1.31931 q^{82} +(5.25239 - 2.33851i) q^{83} +(1.15906 - 3.40374i) q^{84} +(-16.0169 - 3.55370i) q^{85} +(0.362403 - 0.402489i) q^{86} +(9.44129 + 10.7866i) q^{87} +(-3.16932 - 3.51989i) q^{88} +(1.63945 + 5.04569i) q^{89} +(0.193528 - 1.35642i) q^{90} +(1.07212 - 3.29965i) q^{91} +(1.08569 - 0.483379i) q^{92} +(3.55174 + 6.35641i) q^{93} +(-0.0141828 + 0.134940i) q^{94} +(6.12076 + 1.35803i) q^{95} +(-3.74700 - 1.73176i) q^{96} +(-0.0258509 - 0.245955i) q^{97} +(0.370889 + 1.14148i) q^{98} +(9.21192 - 14.9678i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.199788 + 0.0424663i 0.141271 + 0.0300282i 0.278005 0.960580i \(-0.410327\pi\)
−0.136733 + 0.990608i \(0.543660\pi\)
\(3\) −1.41543 + 0.998284i −0.817196 + 0.576360i
\(4\) −1.78898 0.796505i −0.894490 0.398252i
\(5\) 2.05076 0.891283i 0.917128 0.398594i
\(6\) −0.325178 + 0.139337i −0.132754 + 0.0568843i
\(7\) 0.530047 0.918069i 0.200339 0.346997i −0.748299 0.663362i \(-0.769129\pi\)
0.948638 + 0.316365i \(0.102462\pi\)
\(8\) −0.654078 0.475215i −0.231251 0.168014i
\(9\) 1.00686 2.82599i 0.335619 0.941998i
\(10\) 0.447567 0.0909796i 0.141533 0.0287703i
\(11\) 5.73044 + 1.21804i 1.72779 + 0.367254i 0.961408 0.275128i \(-0.0887201\pi\)
0.766385 + 0.642381i \(0.222053\pi\)
\(12\) 3.32730 0.658517i 0.960510 0.190097i
\(13\) 3.20126 0.680450i 0.887871 0.188723i 0.258670 0.965966i \(-0.416716\pi\)
0.629201 + 0.777243i \(0.283382\pi\)
\(14\) 0.144884 0.160910i 0.0387219 0.0430050i
\(15\) −2.01294 + 3.30879i −0.519740 + 0.854325i
\(16\) 2.51020 + 2.78785i 0.627549 + 0.696964i
\(17\) −5.93589 4.31267i −1.43966 1.04598i −0.988113 0.153731i \(-0.950871\pi\)
−0.451551 0.892245i \(-0.649129\pi\)
\(18\) 0.321167 0.521842i 0.0756999 0.122999i
\(19\) 2.26837 + 1.64806i 0.520399 + 0.378092i 0.816754 0.576986i \(-0.195771\pi\)
−0.296355 + 0.955078i \(0.595771\pi\)
\(20\) −4.37868 0.0389529i −0.979102 0.00871013i
\(21\) 0.166251 + 1.82860i 0.0362790 + 0.399032i
\(22\) 1.09315 + 0.486701i 0.233060 + 0.103765i
\(23\) −0.406078 + 0.450996i −0.0846732 + 0.0940391i −0.783992 0.620770i \(-0.786820\pi\)
0.699319 + 0.714809i \(0.253487\pi\)
\(24\) 1.40020 + 0.0196762i 0.285814 + 0.00401638i
\(25\) 3.41123 3.65561i 0.682246 0.731123i
\(26\) 0.668470 0.131098
\(27\) 1.39601 + 5.00511i 0.268663 + 0.963234i
\(28\) −1.67949 + 1.22022i −0.317394 + 0.230600i
\(29\) −0.865105 8.23092i −0.160646 1.52844i −0.716749 0.697331i \(-0.754371\pi\)
0.556103 0.831113i \(-0.312296\pi\)
\(30\) −0.542674 + 0.575574i −0.0990782 + 0.105085i
\(31\) 0.439429 4.18089i 0.0789238 0.750910i −0.881466 0.472248i \(-0.843443\pi\)
0.960389 0.278661i \(-0.0898907\pi\)
\(32\) 1.19160 + 2.06392i 0.210647 + 0.364852i
\(33\) −9.32696 + 3.99656i −1.62362 + 0.695712i
\(34\) −1.00278 1.11370i −0.171975 0.190997i
\(35\) 0.268740 2.35516i 0.0454254 0.398095i
\(36\) −4.05216 + 4.25368i −0.675361 + 0.708946i
\(37\) −3.21237 + 9.88666i −0.528111 + 1.62536i 0.229971 + 0.973197i \(0.426137\pi\)
−0.758082 + 0.652160i \(0.773863\pi\)
\(38\) 0.383205 + 0.425593i 0.0621641 + 0.0690402i
\(39\) −3.85187 + 4.15890i −0.616792 + 0.665956i
\(40\) −1.76491 0.391584i −0.279056 0.0619148i
\(41\) −6.31810 + 1.34295i −0.986722 + 0.209734i −0.672889 0.739744i \(-0.734947\pi\)
−0.313833 + 0.949478i \(0.601613\pi\)
\(42\) −0.0444386 + 0.372391i −0.00685702 + 0.0574613i
\(43\) 1.32582 2.29639i 0.202186 0.350197i −0.747046 0.664772i \(-0.768529\pi\)
0.949233 + 0.314575i \(0.101862\pi\)
\(44\) −9.28146 6.74338i −1.39923 1.01660i
\(45\) −0.453939 6.69283i −0.0676692 0.997708i
\(46\) −0.100282 + 0.0728589i −0.0147857 + 0.0107425i
\(47\) 0.0694379 + 0.660658i 0.0101286 + 0.0963668i 0.998418 0.0562223i \(-0.0179056\pi\)
−0.988290 + 0.152589i \(0.951239\pi\)
\(48\) −6.33607 1.44011i −0.914532 0.207862i
\(49\) 2.93810 + 5.08894i 0.419729 + 0.726991i
\(50\) 0.836763 0.585486i 0.118336 0.0828002i
\(51\) 12.7071 + 0.178565i 1.77935 + 0.0250041i
\(52\) −6.26897 1.33251i −0.869350 0.184786i
\(53\) −5.03668 + 3.65936i −0.691841 + 0.502652i −0.877265 0.480007i \(-0.840634\pi\)
0.185424 + 0.982659i \(0.440634\pi\)
\(54\) 0.0663586 + 1.05924i 0.00903026 + 0.144145i
\(55\) 12.8374 2.60953i 1.73099 0.351869i
\(56\) −0.782972 + 0.348602i −0.104629 + 0.0465839i
\(57\) −4.85594 0.0682377i −0.643185 0.00903830i
\(58\) 0.176699 1.68118i 0.0232017 0.220749i
\(59\) 0.348744 0.0741279i 0.0454027 0.00965063i −0.185154 0.982709i \(-0.559279\pi\)
0.230557 + 0.973059i \(0.425945\pi\)
\(60\) 6.23658 4.31603i 0.805138 0.557197i
\(61\) 6.89054 + 1.46463i 0.882243 + 0.187527i 0.626690 0.779268i \(-0.284409\pi\)
0.255553 + 0.966795i \(0.417742\pi\)
\(62\) 0.265339 0.816631i 0.0336981 0.103712i
\(63\) −2.06077 2.42227i −0.259633 0.305178i
\(64\) −2.16809 6.67269i −0.271011 0.834087i
\(65\) 5.95855 4.24867i 0.739067 0.526983i
\(66\) −2.03313 + 0.402384i −0.250262 + 0.0495300i
\(67\) −1.16657 + 11.0992i −0.142520 + 1.35598i 0.656339 + 0.754466i \(0.272104\pi\)
−0.798859 + 0.601518i \(0.794563\pi\)
\(68\) 7.18411 + 12.4432i 0.871201 + 1.50896i
\(69\) 0.124552 1.04373i 0.0149943 0.125651i
\(70\) 0.153706 0.459120i 0.0183714 0.0548754i
\(71\) −3.31446 + 2.40810i −0.393354 + 0.285788i −0.766829 0.641852i \(-0.778166\pi\)
0.373475 + 0.927640i \(0.378166\pi\)
\(72\) −2.00152 + 1.36995i −0.235881 + 0.161450i
\(73\) −2.32007 7.14044i −0.271544 0.835725i −0.990113 0.140270i \(-0.955203\pi\)
0.718570 0.695455i \(-0.244797\pi\)
\(74\) −1.06164 + 1.83882i −0.123413 + 0.213758i
\(75\) −1.17900 + 8.57963i −0.136139 + 0.990690i
\(76\) −2.74537 4.75512i −0.314915 0.545449i
\(77\) 4.15565 4.61532i 0.473580 0.525964i
\(78\) −0.946170 + 0.667323i −0.107133 + 0.0755595i
\(79\) 1.19614 + 11.3805i 0.134577 + 1.28041i 0.828347 + 0.560215i \(0.189282\pi\)
−0.693771 + 0.720196i \(0.744052\pi\)
\(80\) 7.63258 + 3.47992i 0.853348 + 0.389067i
\(81\) −6.97248 5.69074i −0.774720 0.632305i
\(82\) −1.31931 −0.145694
\(83\) 5.25239 2.33851i 0.576525 0.256685i −0.0976948 0.995216i \(-0.531147\pi\)
0.674219 + 0.738531i \(0.264480\pi\)
\(84\) 1.15906 3.40374i 0.126464 0.371378i
\(85\) −16.0169 3.55370i −1.73728 0.385453i
\(86\) 0.362403 0.402489i 0.0390789 0.0434016i
\(87\) 9.44129 + 10.7866i 1.01221 + 1.15645i
\(88\) −3.16932 3.51989i −0.337851 0.375221i
\(89\) 1.63945 + 5.04569i 0.173781 + 0.534842i 0.999576 0.0291282i \(-0.00927310\pi\)
−0.825795 + 0.563971i \(0.809273\pi\)
\(90\) 0.193528 1.35642i 0.0203996 0.142980i
\(91\) 1.07212 3.29965i 0.112389 0.345897i
\(92\) 1.08569 0.483379i 0.113191 0.0503957i
\(93\) 3.55174 + 6.35641i 0.368298 + 0.659129i
\(94\) −0.0141828 + 0.134940i −0.00146284 + 0.0139180i
\(95\) 6.12076 + 1.35803i 0.627977 + 0.139331i
\(96\) −3.74700 1.73176i −0.382426 0.176747i
\(97\) −0.0258509 0.245955i −0.00262476 0.0249729i 0.993131 0.117007i \(-0.0373299\pi\)
−0.995756 + 0.0920338i \(0.970663\pi\)
\(98\) 0.370889 + 1.14148i 0.0374655 + 0.115307i
\(99\) 9.21192 14.9678i 0.925832 1.50432i
\(100\) −9.01433 + 3.82276i −0.901433 + 0.382276i
\(101\) 0.910115 1.57637i 0.0905599 0.156854i −0.817187 0.576373i \(-0.804468\pi\)
0.907747 + 0.419518i \(0.137801\pi\)
\(102\) 2.53114 + 0.575297i 0.250620 + 0.0569629i
\(103\) −5.93186 2.64104i −0.584484 0.260229i 0.0931215 0.995655i \(-0.470316\pi\)
−0.677605 + 0.735426i \(0.736982\pi\)
\(104\) −2.41724 1.07622i −0.237029 0.105532i
\(105\) 1.97074 + 3.60183i 0.192324 + 0.351503i
\(106\) −1.16167 + 0.517208i −0.112831 + 0.0502357i
\(107\) −3.20188 −0.309538 −0.154769 0.987951i \(-0.549463\pi\)
−0.154769 + 0.987951i \(0.549463\pi\)
\(108\) 1.48916 10.0660i 0.143294 0.968599i
\(109\) 2.08827 6.42705i 0.200020 0.615599i −0.799861 0.600186i \(-0.795093\pi\)
0.999881 0.0154139i \(-0.00490659\pi\)
\(110\) 2.67557 + 0.0238020i 0.255106 + 0.00226943i
\(111\) −5.32283 17.2007i −0.505221 1.63262i
\(112\) 3.88996 0.826837i 0.367567 0.0781288i
\(113\) −5.34971 + 1.13712i −0.503259 + 0.106971i −0.452544 0.891742i \(-0.649483\pi\)
−0.0507149 + 0.998713i \(0.516150\pi\)
\(114\) −0.967261 0.219847i −0.0905923 0.0205905i
\(115\) −0.430804 + 1.28681i −0.0401727 + 0.119996i
\(116\) −5.00832 + 15.4140i −0.465010 + 1.43115i
\(117\) 1.30027 9.73186i 0.120210 0.899711i
\(118\) 0.0728229 0.00670389
\(119\) −7.10563 + 3.16363i −0.651372 + 0.290009i
\(120\) 2.88901 1.20762i 0.263729 0.110240i
\(121\) 21.3053 + 9.48574i 1.93685 + 0.862340i
\(122\) 1.31445 + 0.585231i 0.119005 + 0.0529843i
\(123\) 7.60215 8.20811i 0.685463 0.740101i
\(124\) −4.11623 + 7.12951i −0.369648 + 0.640249i
\(125\) 3.73742 10.5372i 0.334285 0.942472i
\(126\) −0.308853 0.571455i −0.0275148 0.0509092i
\(127\) −0.862678 2.65505i −0.0765503 0.235597i 0.905458 0.424436i \(-0.139528\pi\)
−0.982008 + 0.188839i \(0.939528\pi\)
\(128\) −0.648019 6.16549i −0.0572774 0.544958i
\(129\) 0.415850 + 4.57392i 0.0366135 + 0.402712i
\(130\) 1.37087 0.595796i 0.120233 0.0522548i
\(131\) −0.344907 + 3.28157i −0.0301347 + 0.286712i 0.969068 + 0.246793i \(0.0793767\pi\)
−0.999203 + 0.0399193i \(0.987290\pi\)
\(132\) 19.8690 + 0.279208i 1.72938 + 0.0243019i
\(133\) 2.71538 1.20896i 0.235453 0.104830i
\(134\) −0.704409 + 2.16795i −0.0608517 + 0.187282i
\(135\) 7.32386 + 9.02004i 0.630338 + 0.776321i
\(136\) 1.83308 + 5.64165i 0.157186 + 0.483767i
\(137\) 3.13941 + 3.48667i 0.268218 + 0.297886i 0.862175 0.506610i \(-0.169102\pi\)
−0.593957 + 0.804497i \(0.702435\pi\)
\(138\) 0.0692073 0.203236i 0.00589132 0.0173006i
\(139\) −9.12780 + 10.1374i −0.774210 + 0.859847i −0.993265 0.115865i \(-0.963036\pi\)
0.219055 + 0.975712i \(0.429703\pi\)
\(140\) −2.35667 + 3.99928i −0.199175 + 0.338001i
\(141\) −0.757808 0.865793i −0.0638190 0.0729129i
\(142\) −0.764452 + 0.340356i −0.0641514 + 0.0285620i
\(143\) 19.1735 1.60337
\(144\) 10.4059 4.28683i 0.867156 0.357235i
\(145\) −9.11021 16.1086i −0.756561 1.33775i
\(146\) −0.160294 1.52510i −0.0132661 0.126218i
\(147\) −9.23887 4.26995i −0.762009 0.352180i
\(148\) 13.6216 15.1284i 1.11969 1.24354i
\(149\) −4.36988 7.56886i −0.357995 0.620065i 0.629631 0.776894i \(-0.283206\pi\)
−0.987626 + 0.156829i \(0.949873\pi\)
\(150\) −0.599894 + 1.66404i −0.0489811 + 0.135868i
\(151\) −3.60732 + 6.24805i −0.293559 + 0.508459i −0.974649 0.223741i \(-0.928173\pi\)
0.681090 + 0.732200i \(0.261506\pi\)
\(152\) −0.700502 2.15592i −0.0568182 0.174869i
\(153\) −18.1642 + 12.4325i −1.46849 + 1.00511i
\(154\) 1.02624 0.745610i 0.0826971 0.0600830i
\(155\) −2.82519 8.96565i −0.226925 0.720138i
\(156\) 10.2035 4.37215i 0.816933 0.350052i
\(157\) −1.71648 2.97303i −0.136990 0.237274i 0.789366 0.613923i \(-0.210409\pi\)
−0.926356 + 0.376649i \(0.877076\pi\)
\(158\) −0.244314 + 2.32449i −0.0194366 + 0.184927i
\(159\) 3.47596 10.2076i 0.275661 0.809515i
\(160\) 4.28322 + 3.17054i 0.338618 + 0.250653i
\(161\) 0.198804 + 0.611857i 0.0156680 + 0.0482211i
\(162\) −1.15135 1.43304i −0.0904589 0.112590i
\(163\) −6.75333 + 20.7846i −0.528962 + 1.62798i 0.227385 + 0.973805i \(0.426983\pi\)
−0.756346 + 0.654172i \(0.773017\pi\)
\(164\) 12.3726 + 2.62988i 0.966140 + 0.205359i
\(165\) −15.5653 + 16.5090i −1.21176 + 1.28522i
\(166\) 1.14867 0.244158i 0.0891543 0.0189503i
\(167\) 0.184001 1.75066i 0.0142384 0.135470i −0.985093 0.172021i \(-0.944970\pi\)
0.999332 + 0.0365508i \(0.0116371\pi\)
\(168\) 0.760235 1.27505i 0.0586534 0.0983721i
\(169\) −2.09102 + 0.930980i −0.160847 + 0.0716138i
\(170\) −3.04907 1.39016i −0.233853 0.106621i
\(171\) 6.94134 4.75102i 0.530817 0.363320i
\(172\) −4.20096 + 3.05218i −0.320320 + 0.232726i
\(173\) −4.73761 1.00701i −0.360194 0.0765615i 0.0242604 0.999706i \(-0.492277\pi\)
−0.384454 + 0.923144i \(0.625610\pi\)
\(174\) 1.42819 + 2.55598i 0.108271 + 0.193768i
\(175\) −1.54799 5.06939i −0.117017 0.383210i
\(176\) 10.9888 + 19.0332i 0.828312 + 1.43468i
\(177\) −0.419621 + 0.453069i −0.0315406 + 0.0340547i
\(178\) 0.113270 + 1.07769i 0.00848993 + 0.0807763i
\(179\) −12.1679 + 8.84052i −0.909474 + 0.660772i −0.940882 0.338735i \(-0.890001\pi\)
0.0314076 + 0.999507i \(0.490001\pi\)
\(180\) −4.51878 + 12.3349i −0.336810 + 0.919389i
\(181\) −9.59041 6.96784i −0.712850 0.517916i 0.171242 0.985229i \(-0.445222\pi\)
−0.884092 + 0.467313i \(0.845222\pi\)
\(182\) 0.354321 0.613702i 0.0262640 0.0454906i
\(183\) −11.2152 + 4.80565i −0.829049 + 0.355244i
\(184\) 0.479927 0.102012i 0.0353807 0.00752040i
\(185\) 2.22401 + 23.1383i 0.163513 + 1.70116i
\(186\) 0.439661 + 1.42076i 0.0322375 + 0.104175i
\(187\) −28.7622 31.9437i −2.10330 2.33595i
\(188\) 0.401994 1.23721i 0.0293184 0.0902328i
\(189\) 5.33499 + 1.37131i 0.388063 + 0.0997480i
\(190\) 1.16519 + 0.531244i 0.0845314 + 0.0385405i
\(191\) −4.36485 4.84766i −0.315830 0.350764i 0.564238 0.825612i \(-0.309170\pi\)
−0.880068 + 0.474848i \(0.842503\pi\)
\(192\) 9.73001 + 7.28033i 0.702203 + 0.525412i
\(193\) 0.500429 + 0.866769i 0.0360217 + 0.0623914i 0.883474 0.468480i \(-0.155198\pi\)
−0.847453 + 0.530871i \(0.821865\pi\)
\(194\) 0.00528008 0.0502366i 0.000379087 0.00360678i
\(195\) −4.19250 + 11.9620i −0.300231 + 0.856617i
\(196\) −1.20284 11.4442i −0.0859168 0.817444i
\(197\) 9.44774 6.86418i 0.673124 0.489053i −0.197946 0.980213i \(-0.563427\pi\)
0.871069 + 0.491160i \(0.163427\pi\)
\(198\) 2.47606 2.59919i 0.175966 0.184716i
\(199\) 19.8531 1.40735 0.703675 0.710522i \(-0.251541\pi\)
0.703675 + 0.710522i \(0.251541\pi\)
\(200\) −3.96841 + 0.769988i −0.280609 + 0.0544464i
\(201\) −9.42897 16.8747i −0.665068 1.19025i
\(202\) 0.248773 0.276290i 0.0175036 0.0194397i
\(203\) −8.01510 3.56855i −0.562550 0.250463i
\(204\) −22.5905 10.4407i −1.58165 0.730995i
\(205\) −11.7600 + 8.38529i −0.821351 + 0.585654i
\(206\) −1.07296 0.779551i −0.0747567 0.0543139i
\(207\) 0.865648 + 1.60166i 0.0601667 + 0.111323i
\(208\) 9.93279 + 7.21660i 0.688715 + 0.500381i
\(209\) 10.9913 + 12.2071i 0.760286 + 0.844383i
\(210\) 0.240773 + 0.803293i 0.0166149 + 0.0554325i
\(211\) −2.50072 + 2.77733i −0.172157 + 0.191199i −0.823048 0.567971i \(-0.807728\pi\)
0.650892 + 0.759171i \(0.274395\pi\)
\(212\) 11.9252 2.53478i 0.819027 0.174090i
\(213\) 2.28741 6.71725i 0.156730 0.460259i
\(214\) −0.639698 0.135972i −0.0437288 0.00929485i
\(215\) 0.672208 5.89104i 0.0458442 0.401765i
\(216\) 1.46540 3.93714i 0.0997081 0.267888i
\(217\) −3.60542 2.61949i −0.244752 0.177823i
\(218\) 0.690145 1.19537i 0.0467425 0.0809604i
\(219\) 10.4121 + 7.79067i 0.703582 + 0.526444i
\(220\) −25.0443 5.55663i −1.68849 0.374628i
\(221\) −21.9369 9.76693i −1.47563 0.656995i
\(222\) −0.332988 3.66253i −0.0223487 0.245813i
\(223\) −4.17519 0.887464i −0.279591 0.0594290i 0.0659816 0.997821i \(-0.478982\pi\)
−0.345573 + 0.938392i \(0.612315\pi\)
\(224\) 2.52642 0.168804
\(225\) −6.89612 13.3208i −0.459742 0.888053i
\(226\) −1.11710 −0.0743082
\(227\) −17.1701 3.64961i −1.13962 0.242233i −0.400818 0.916158i \(-0.631274\pi\)
−0.738800 + 0.673925i \(0.764607\pi\)
\(228\) 8.63282 + 3.98985i 0.571723 + 0.264235i
\(229\) 18.1817 + 8.09500i 1.20148 + 0.534933i 0.907165 0.420776i \(-0.138242\pi\)
0.294314 + 0.955709i \(0.404909\pi\)
\(230\) −0.140716 + 0.238796i −0.00927852 + 0.0157457i
\(231\) −1.27461 + 10.6812i −0.0838634 + 0.702769i
\(232\) −3.34562 + 5.79478i −0.219650 + 0.380446i
\(233\) 18.8598 + 13.7025i 1.23555 + 0.897677i 0.997293 0.0735256i \(-0.0234251\pi\)
0.238254 + 0.971203i \(0.423425\pi\)
\(234\) 0.673054 1.88909i 0.0439989 0.123494i
\(235\) 0.731234 + 1.29296i 0.0477004 + 0.0843435i
\(236\) −0.682940 0.145163i −0.0444556 0.00944933i
\(237\) −13.0541 14.9142i −0.847953 0.968783i
\(238\) −1.55397 + 0.330306i −0.100729 + 0.0214106i
\(239\) −7.58378 + 8.42265i −0.490554 + 0.544816i −0.936695 0.350147i \(-0.886132\pi\)
0.446140 + 0.894963i \(0.352798\pi\)
\(240\) −14.2773 + 2.69391i −0.921595 + 0.173891i
\(241\) 4.22449 + 4.69177i 0.272123 + 0.302223i 0.863681 0.504040i \(-0.168153\pi\)
−0.591558 + 0.806263i \(0.701487\pi\)
\(242\) 3.85373 + 2.79990i 0.247727 + 0.179984i
\(243\) 15.5500 + 1.09430i 0.997533 + 0.0701997i
\(244\) −11.1604 8.10854i −0.714475 0.519096i
\(245\) 10.5610 + 7.81751i 0.674719 + 0.499442i
\(246\) 1.86739 1.31705i 0.119060 0.0839719i
\(247\) 8.38306 + 3.73238i 0.533401 + 0.237486i
\(248\) −2.27424 + 2.52580i −0.144415 + 0.160389i
\(249\) −5.09986 + 8.55337i −0.323191 + 0.542048i
\(250\) 1.19417 1.94648i 0.0755257 0.123106i
\(251\) −19.4595 −1.22827 −0.614135 0.789201i \(-0.710495\pi\)
−0.614135 + 0.789201i \(0.710495\pi\)
\(252\) 1.75733 + 5.97481i 0.110701 + 0.376378i
\(253\) −2.87634 + 2.08978i −0.180834 + 0.131384i
\(254\) −0.0596027 0.567082i −0.00373980 0.0355819i
\(255\) 26.2183 10.9594i 1.64185 0.686305i
\(256\) −1.33440 + 12.6960i −0.0834001 + 0.793499i
\(257\) −7.36439 12.7555i −0.459378 0.795666i 0.539550 0.841953i \(-0.318594\pi\)
−0.998928 + 0.0462877i \(0.985261\pi\)
\(258\) −0.111156 + 0.931475i −0.00692025 + 0.0579911i
\(259\) 7.37393 + 8.18957i 0.458193 + 0.508875i
\(260\) −14.0438 + 2.85477i −0.870960 + 0.177045i
\(261\) −24.1316 5.84258i −1.49371 0.361647i
\(262\) −0.208264 + 0.640972i −0.0128666 + 0.0395994i
\(263\) 15.0773 + 16.7450i 0.929704 + 1.03254i 0.999388 + 0.0349713i \(0.0111340\pi\)
−0.0696848 + 0.997569i \(0.522199\pi\)
\(264\) 7.99979 + 1.81825i 0.492353 + 0.111906i
\(265\) −7.06749 + 11.9936i −0.434152 + 0.736760i
\(266\) 0.593840 0.126225i 0.0364107 0.00773933i
\(267\) −7.35755 5.50517i −0.450275 0.336911i
\(268\) 10.9275 18.9271i 0.667506 1.15615i
\(269\) −15.8421 11.5099i −0.965908 0.701773i −0.0113924 0.999935i \(-0.503626\pi\)
−0.954515 + 0.298162i \(0.903626\pi\)
\(270\) 1.08017 + 2.11311i 0.0657372 + 0.128600i
\(271\) −7.13161 + 5.18142i −0.433214 + 0.314749i −0.782933 0.622106i \(-0.786277\pi\)
0.349718 + 0.936855i \(0.386277\pi\)
\(272\) −2.87713 27.3740i −0.174451 1.65979i
\(273\) 1.77648 + 5.74069i 0.107518 + 0.347442i
\(274\) 0.479151 + 0.829914i 0.0289466 + 0.0501370i
\(275\) 24.0005 16.7933i 1.44729 1.01267i
\(276\) −1.05416 + 1.76801i −0.0634529 + 0.106422i
\(277\) 15.0853 + 3.20647i 0.906385 + 0.192658i 0.637442 0.770498i \(-0.279992\pi\)
0.268943 + 0.963156i \(0.413326\pi\)
\(278\) −2.25412 + 1.63772i −0.135193 + 0.0982238i
\(279\) −11.3727 5.45138i −0.680867 0.326366i
\(280\) −1.29498 + 1.41275i −0.0773902 + 0.0844279i
\(281\) −8.07409 + 3.59481i −0.481660 + 0.214449i −0.633179 0.774006i \(-0.718250\pi\)
0.151519 + 0.988454i \(0.451583\pi\)
\(282\) −0.114634 0.205156i −0.00682636 0.0122169i
\(283\) 1.54934 14.7410i 0.0920985 0.876259i −0.846765 0.531968i \(-0.821453\pi\)
0.938863 0.344291i \(-0.111881\pi\)
\(284\) 7.84756 1.66805i 0.465667 0.0989806i
\(285\) −10.0192 + 4.18808i −0.593485 + 0.248080i
\(286\) 3.83063 + 0.814225i 0.226510 + 0.0481462i
\(287\) −2.11597 + 6.51228i −0.124902 + 0.384408i
\(288\) 7.03238 1.28939i 0.414387 0.0759782i
\(289\) 11.3823 + 35.0311i 0.669547 + 2.06065i
\(290\) −1.13604 3.60518i −0.0667105 0.211703i
\(291\) 0.282123 + 0.322324i 0.0165383 + 0.0188950i
\(292\) −1.53684 + 14.6220i −0.0899367 + 0.855690i
\(293\) −0.966391 1.67384i −0.0564572 0.0977867i 0.836416 0.548096i \(-0.184647\pi\)
−0.892873 + 0.450309i \(0.851314\pi\)
\(294\) −1.66449 1.24543i −0.0970748 0.0726347i
\(295\) 0.649122 0.462849i 0.0377933 0.0269481i
\(296\) 6.79943 4.94008i 0.395209 0.287136i
\(297\) 1.90334 + 30.3819i 0.110443 + 1.76294i
\(298\) −0.551629 1.69774i −0.0319550 0.0983474i
\(299\) −0.993084 + 1.72007i −0.0574315 + 0.0994743i
\(300\) 8.94291 14.4097i 0.516319 0.831944i
\(301\) −1.40550 2.43439i −0.0810116 0.140316i
\(302\) −0.986030 + 1.09510i −0.0567397 + 0.0630158i
\(303\) 0.285461 + 3.13978i 0.0163993 + 0.180376i
\(304\) 1.09948 + 10.4608i 0.0630594 + 0.599970i
\(305\) 15.4362 3.13782i 0.883877 0.179671i
\(306\) −4.15695 + 1.71251i −0.237637 + 0.0978974i
\(307\) 5.25737 0.300054 0.150027 0.988682i \(-0.452064\pi\)
0.150027 + 0.988682i \(0.452064\pi\)
\(308\) −11.1105 + 4.94671i −0.633079 + 0.281865i
\(309\) 11.0326 2.18350i 0.627623 0.124215i
\(310\) −0.183702 1.91121i −0.0104336 0.108549i
\(311\) 1.66381 1.84785i 0.0943458 0.104782i −0.694123 0.719857i \(-0.744208\pi\)
0.788469 + 0.615075i \(0.210874\pi\)
\(312\) 4.49579 0.889776i 0.254524 0.0503736i
\(313\) 2.27435 + 2.52593i 0.128554 + 0.142774i 0.803985 0.594649i \(-0.202709\pi\)
−0.675431 + 0.737423i \(0.736042\pi\)
\(314\) −0.216679 0.666868i −0.0122279 0.0376335i
\(315\) −6.38508 3.13077i −0.359759 0.176399i
\(316\) 6.92478 21.3123i 0.389549 1.19891i
\(317\) 20.8731 9.29332i 1.17235 0.521965i 0.274210 0.961670i \(-0.411584\pi\)
0.898142 + 0.439705i \(0.144917\pi\)
\(318\) 1.12793 1.89174i 0.0632514 0.106084i
\(319\) 5.06818 48.2206i 0.283764 2.69983i
\(320\) −10.3935 11.7517i −0.581014 0.656940i
\(321\) 4.53202 3.19639i 0.252953 0.178405i
\(322\) 0.0137355 + 0.130684i 0.000765447 + 0.00728274i
\(323\) −6.35720 19.5654i −0.353724 1.08865i
\(324\) 7.94091 + 15.7342i 0.441162 + 0.874124i
\(325\) 8.43278 14.0238i 0.467766 0.777898i
\(326\) −2.23188 + 3.86573i −0.123612 + 0.214103i
\(327\) 3.46022 + 11.1817i 0.191351 + 0.618349i
\(328\) 4.77072 + 2.12406i 0.263419 + 0.117282i
\(329\) 0.643334 + 0.286431i 0.0354682 + 0.0157914i
\(330\) −3.81083 + 2.63729i −0.209779 + 0.145178i
\(331\) 22.1571 9.86499i 1.21787 0.542229i 0.305731 0.952118i \(-0.401099\pi\)
0.912135 + 0.409889i \(0.134433\pi\)
\(332\) −11.2591 −0.617921
\(333\) 24.7052 + 19.0326i 1.35384 + 1.04298i
\(334\) 0.111105 0.341946i 0.00607940 0.0187105i
\(335\) 7.50017 + 23.8016i 0.409778 + 1.30042i
\(336\) −4.68053 + 5.05362i −0.255344 + 0.275697i
\(337\) 7.09276 1.50761i 0.386367 0.0821249i −0.0106329 0.999943i \(-0.503385\pi\)
0.397000 + 0.917819i \(0.370051\pi\)
\(338\) −0.457295 + 0.0972011i −0.0248736 + 0.00528704i
\(339\) 6.43695 6.95004i 0.349607 0.377474i
\(340\) 25.8233 + 19.1150i 1.40047 + 1.03666i
\(341\) 7.61062 23.4231i 0.412138 1.26843i
\(342\) 1.58855 0.654425i 0.0858992 0.0353872i
\(343\) 13.6500 0.737030
\(344\) −1.95847 + 0.871969i −0.105594 + 0.0470134i
\(345\) −0.674836 2.25145i −0.0363319 0.121214i
\(346\) −0.903753 0.402377i −0.0485861 0.0216319i
\(347\) 8.00798 + 3.56538i 0.429891 + 0.191400i 0.610263 0.792199i \(-0.291064\pi\)
−0.180372 + 0.983598i \(0.557730\pi\)
\(348\) −8.29867 26.8171i −0.444855 1.43755i
\(349\) −7.83261 + 13.5665i −0.419270 + 0.726197i −0.995866 0.0908324i \(-0.971047\pi\)
0.576596 + 0.817029i \(0.304381\pi\)
\(350\) −0.0939924 1.07854i −0.00502411 0.0576504i
\(351\) 7.87474 + 15.0728i 0.420322 + 0.804525i
\(352\) 4.31447 + 13.2786i 0.229962 + 0.707750i
\(353\) −0.812371 7.72919i −0.0432382 0.411384i −0.994637 0.103423i \(-0.967020\pi\)
0.951399 0.307960i \(-0.0996463\pi\)
\(354\) −0.103075 + 0.0726980i −0.00547839 + 0.00386385i
\(355\) −4.65086 + 7.89255i −0.246842 + 0.418893i
\(356\) 1.08599 10.3325i 0.0575571 0.547620i
\(357\) 6.89928 11.5713i 0.365149 0.612419i
\(358\) −2.80643 + 1.24950i −0.148325 + 0.0660383i
\(359\) 0.132337 0.407290i 0.00698446 0.0214960i −0.947504 0.319745i \(-0.896403\pi\)
0.954488 + 0.298249i \(0.0964027\pi\)
\(360\) −2.88362 + 4.59335i −0.151980 + 0.242091i
\(361\) −3.44195 10.5932i −0.181156 0.557539i
\(362\) −1.62015 1.79936i −0.0851532 0.0945723i
\(363\) −39.6256 + 7.84241i −2.07980 + 0.411620i
\(364\) −4.54619 + 5.04905i −0.238285 + 0.264642i
\(365\) −11.1221 12.5755i −0.582155 0.658231i
\(366\) −2.44473 + 0.483844i −0.127788 + 0.0252910i
\(367\) 10.9675 4.88307i 0.572501 0.254894i −0.100003 0.994987i \(-0.531885\pi\)
0.672504 + 0.740093i \(0.265219\pi\)
\(368\) −2.27665 −0.118678
\(369\) −2.56625 + 19.2071i −0.133593 + 0.999881i
\(370\) −0.538265 + 4.71720i −0.0279831 + 0.245236i
\(371\) 0.689867 + 6.56365i 0.0358161 + 0.340768i
\(372\) −1.29107 14.2005i −0.0669389 0.736259i
\(373\) 10.9666 12.1796i 0.567828 0.630637i −0.389019 0.921230i \(-0.627186\pi\)
0.956847 + 0.290593i \(0.0938525\pi\)
\(374\) −4.38982 7.60339i −0.226992 0.393162i
\(375\) 5.22904 + 18.6456i 0.270026 + 0.962853i
\(376\) 0.268537 0.465119i 0.0138487 0.0239867i
\(377\) −8.37016 25.7607i −0.431085 1.32674i
\(378\) 1.00763 + 0.500528i 0.0518270 + 0.0257444i
\(379\) 3.37075 2.44899i 0.173144 0.125796i −0.497838 0.867270i \(-0.665873\pi\)
0.670982 + 0.741474i \(0.265873\pi\)
\(380\) −9.86824 7.30470i −0.506230 0.374723i
\(381\) 3.87155 + 2.89682i 0.198345 + 0.148409i
\(382\) −0.666183 1.15386i −0.0340849 0.0590368i
\(383\) 2.11906 20.1615i 0.108279 1.03021i −0.796591 0.604518i \(-0.793366\pi\)
0.904870 0.425687i \(-0.139968\pi\)
\(384\) 7.07214 + 8.07988i 0.360898 + 0.412325i
\(385\) 4.40869 13.1688i 0.224687 0.671143i
\(386\) 0.0631714 + 0.194421i 0.00321534 + 0.00989579i
\(387\) −5.15468 6.05891i −0.262027 0.307992i
\(388\) −0.149657 + 0.460598i −0.00759770 + 0.0233833i
\(389\) −15.6205 3.32025i −0.791992 0.168343i −0.205884 0.978576i \(-0.566007\pi\)
−0.586108 + 0.810233i \(0.699340\pi\)
\(390\) −1.34559 + 2.21182i −0.0681367 + 0.112000i
\(391\) 4.35543 0.925776i 0.220264 0.0468185i
\(392\) 0.496596 4.72479i 0.0250819 0.238638i
\(393\) −2.78775 4.98913i −0.140623 0.251668i
\(394\) 2.17904 0.970172i 0.109779 0.0488765i
\(395\) 12.5963 + 22.2727i 0.633788 + 1.12066i
\(396\) −28.4018 + 19.4397i −1.42725 + 0.976883i
\(397\) −6.47922 + 4.70743i −0.325183 + 0.236259i −0.738384 0.674381i \(-0.764411\pi\)
0.413201 + 0.910640i \(0.364411\pi\)
\(398\) 3.96641 + 0.843087i 0.198818 + 0.0422601i
\(399\) −2.63652 + 4.42192i −0.131991 + 0.221373i
\(400\) 18.7542 + 0.333702i 0.937709 + 0.0166851i
\(401\) −7.35946 12.7470i −0.367514 0.636552i 0.621662 0.783285i \(-0.286458\pi\)
−0.989176 + 0.146733i \(0.953124\pi\)
\(402\) −1.16719 3.77177i −0.0582142 0.188119i
\(403\) −1.43816 13.6831i −0.0716396 0.681605i
\(404\) −2.88376 + 2.09517i −0.143472 + 0.104239i
\(405\) −19.3709 5.45589i −0.962550 0.271105i
\(406\) −1.44978 1.05333i −0.0719513 0.0522757i
\(407\) −30.4507 + 52.7421i −1.50938 + 2.61433i
\(408\) −8.22656 6.15539i −0.407275 0.304737i
\(409\) −32.8365 + 6.97961i −1.62366 + 0.345119i −0.927806 0.373064i \(-0.878307\pi\)
−0.695854 + 0.718183i \(0.744974\pi\)
\(410\) −2.70559 + 1.17588i −0.133620 + 0.0580726i
\(411\) −7.92429 1.80110i −0.390877 0.0888415i
\(412\) 8.50838 + 9.44951i 0.419178 + 0.465544i
\(413\) 0.116796 0.359463i 0.00574718 0.0176880i
\(414\) 0.104930 + 0.356754i 0.00515700 + 0.0175335i
\(415\) 8.68711 9.47710i 0.426433 0.465212i
\(416\) 5.21902 + 5.79631i 0.255884 + 0.284188i
\(417\) 2.79966 23.4609i 0.137100 1.14889i
\(418\) 1.67755 + 2.90559i 0.0820514 + 0.142117i
\(419\) 0.0152453 0.145049i 0.000744780 0.00708611i −0.994143 0.108071i \(-0.965533\pi\)
0.994888 + 0.100985i \(0.0321993\pi\)
\(420\) −0.656732 8.01330i −0.0320452 0.391009i
\(421\) 0.212504 + 2.02184i 0.0103568 + 0.0985383i 0.998479 0.0551310i \(-0.0175576\pi\)
−0.988122 + 0.153669i \(0.950891\pi\)
\(422\) −0.617557 + 0.448681i −0.0300622 + 0.0218415i
\(423\) 1.93693 + 0.468957i 0.0941767 + 0.0228015i
\(424\) 5.03336 0.244442
\(425\) −36.0141 + 6.98779i −1.74694 + 0.338958i
\(426\) 0.742253 1.24489i 0.0359623 0.0603151i
\(427\) 4.99694 5.54967i 0.241819 0.268567i
\(428\) 5.72810 + 2.55031i 0.276878 + 0.123274i
\(429\) −27.1386 + 19.1406i −1.31026 + 0.924116i
\(430\) 0.384470 1.14841i 0.0185408 0.0553814i
\(431\) 29.8321 + 21.6743i 1.43696 + 1.04401i 0.988667 + 0.150125i \(0.0479677\pi\)
0.448293 + 0.893887i \(0.352032\pi\)
\(432\) −10.4493 + 16.4557i −0.502740 + 0.791725i
\(433\) 12.8206 + 9.31470i 0.616118 + 0.447636i 0.851563 0.524252i \(-0.175655\pi\)
−0.235445 + 0.971888i \(0.575655\pi\)
\(434\) −0.609080 0.676452i −0.0292368 0.0324708i
\(435\) 28.9758 + 13.7059i 1.38928 + 0.657149i
\(436\) −8.85505 + 9.83453i −0.424080 + 0.470989i
\(437\) −1.66440 + 0.353780i −0.0796193 + 0.0169236i
\(438\) 1.74937 + 1.99864i 0.0835880 + 0.0954989i
\(439\) −17.8813 3.80079i −0.853429 0.181402i −0.239630 0.970864i \(-0.577026\pi\)
−0.613799 + 0.789462i \(0.710360\pi\)
\(440\) −9.63673 4.39368i −0.459413 0.209461i
\(441\) 17.3396 3.17922i 0.825693 0.151391i
\(442\) −3.96796 2.88289i −0.188737 0.137125i
\(443\) −0.942891 + 1.63314i −0.0447981 + 0.0775926i −0.887555 0.460702i \(-0.847598\pi\)
0.842757 + 0.538294i \(0.180931\pi\)
\(444\) −4.17800 + 35.0113i −0.198279 + 1.66156i
\(445\) 7.85925 + 8.88629i 0.372564 + 0.421251i
\(446\) −0.796466 0.354609i −0.0377138 0.0167912i
\(447\) 13.7411 + 6.35077i 0.649932 + 0.300381i
\(448\) −7.27518 1.54639i −0.343720 0.0730599i
\(449\) 36.1786 1.70737 0.853687 0.520786i \(-0.174361\pi\)
0.853687 + 0.520786i \(0.174361\pi\)
\(450\) −0.812079 2.95419i −0.0382818 0.139262i
\(451\) −37.8413 −1.78188
\(452\) 10.4762 + 2.22679i 0.492761 + 0.104740i
\(453\) −1.13145 12.4448i −0.0531601 0.584707i
\(454\) −3.27539 1.45830i −0.153722 0.0684413i
\(455\) −0.742259 7.72235i −0.0347977 0.362029i
\(456\) 3.14373 + 2.35225i 0.147219 + 0.110154i
\(457\) 18.9337 32.7941i 0.885681 1.53404i 0.0407491 0.999169i \(-0.487026\pi\)
0.844932 0.534874i \(-0.179641\pi\)
\(458\) 3.28872 + 2.38939i 0.153672 + 0.111649i
\(459\) 13.2988 35.7303i 0.620736 1.66775i
\(460\) 1.79565 1.95895i 0.0837228 0.0913364i
\(461\) 11.3690 + 2.41656i 0.529508 + 0.112550i 0.464905 0.885361i \(-0.346089\pi\)
0.0646031 + 0.997911i \(0.479422\pi\)
\(462\) −0.708241 + 2.07984i −0.0329504 + 0.0967629i
\(463\) −11.9079 + 2.53110i −0.553406 + 0.117630i −0.476122 0.879379i \(-0.657958\pi\)
−0.0772836 + 0.997009i \(0.524625\pi\)
\(464\) 20.7750 23.0730i 0.964457 1.07114i
\(465\) 12.9491 + 9.86986i 0.600501 + 0.457704i
\(466\) 3.18607 + 3.53849i 0.147592 + 0.163917i
\(467\) 12.7667 + 9.27554i 0.590772 + 0.429221i 0.842591 0.538553i \(-0.181029\pi\)
−0.251820 + 0.967774i \(0.581029\pi\)
\(468\) −10.0776 + 16.3744i −0.465839 + 0.756908i
\(469\) 9.57149 + 6.95410i 0.441971 + 0.321110i
\(470\) 0.0911845 + 0.289371i 0.00420603 + 0.0133477i
\(471\) 5.39748 + 2.49457i 0.248703 + 0.114944i
\(472\) −0.263333 0.117243i −0.0121209 0.00539656i
\(473\) 10.3947 11.5444i 0.477947 0.530814i
\(474\) −1.97470 3.53404i −0.0907008 0.162324i
\(475\) 13.7626 2.67035i 0.631472 0.122524i
\(476\) 15.2317 0.698142
\(477\) 5.27012 + 17.9181i 0.241302 + 0.820412i
\(478\) −1.87283 + 1.36069i −0.0856611 + 0.0622365i
\(479\) −3.00747 28.6142i −0.137415 1.30742i −0.818200 0.574933i \(-0.805028\pi\)
0.680785 0.732483i \(-0.261639\pi\)
\(480\) −9.22768 0.211787i −0.421184 0.00966673i
\(481\) −3.55627 + 33.8357i −0.162152 + 1.54277i
\(482\) 0.644760 + 1.11676i 0.0293680 + 0.0508669i
\(483\) −0.892200 0.667574i −0.0405965 0.0303757i
\(484\) −30.5593 33.9396i −1.38906 1.54271i
\(485\) −0.272229 0.481353i −0.0123613 0.0218571i
\(486\) 3.06023 + 0.878979i 0.138815 + 0.0398713i
\(487\) −7.25791 + 22.3375i −0.328887 + 1.01221i 0.640768 + 0.767734i \(0.278616\pi\)
−0.969655 + 0.244476i \(0.921384\pi\)
\(488\) −3.81094 4.23247i −0.172513 0.191595i
\(489\) −11.1901 36.1608i −0.506035 1.63525i
\(490\) 1.77799 + 2.01033i 0.0803212 + 0.0908175i
\(491\) 1.32736 0.282139i 0.0599029 0.0127328i −0.177863 0.984055i \(-0.556918\pi\)
0.237766 + 0.971323i \(0.423585\pi\)
\(492\) −20.1379 + 8.62899i −0.907886 + 0.389025i
\(493\) −30.3621 + 52.5887i −1.36744 + 2.36848i
\(494\) 1.51634 + 1.10168i 0.0682231 + 0.0495670i
\(495\) 5.55088 38.9058i 0.249494 1.74868i
\(496\) 12.7588 9.26978i 0.572885 0.416226i
\(497\) 0.453977 + 4.31931i 0.0203637 + 0.193747i
\(498\) −1.38212 + 1.49229i −0.0619343 + 0.0668711i
\(499\) −16.4615 28.5122i −0.736920 1.27638i −0.953876 0.300201i \(-0.902946\pi\)
0.216956 0.976181i \(-0.430387\pi\)
\(500\) −15.0791 + 15.8739i −0.674356 + 0.709901i
\(501\) 1.48721 + 2.66161i 0.0664437 + 0.118912i
\(502\) −3.88777 0.826371i −0.173520 0.0368827i
\(503\) −24.4656 + 17.7753i −1.09087 + 0.792561i −0.979545 0.201224i \(-0.935508\pi\)
−0.111321 + 0.993785i \(0.535508\pi\)
\(504\) 0.196805 + 2.56367i 0.00876640 + 0.114195i
\(505\) 0.461439 4.04392i 0.0205338 0.179952i
\(506\) −0.663404 + 0.295366i −0.0294919 + 0.0131306i
\(507\) 2.03029 3.40516i 0.0901685 0.151228i
\(508\) −0.571447 + 5.43695i −0.0253538 + 0.241226i
\(509\) −10.8655 + 2.30953i −0.481604 + 0.102368i −0.442315 0.896860i \(-0.645843\pi\)
−0.0392893 + 0.999228i \(0.512509\pi\)
\(510\) 5.70351 1.07617i 0.252556 0.0476534i
\(511\) −7.78516 1.65479i −0.344395 0.0732034i
\(512\) −4.63722 + 14.2719i −0.204938 + 0.630735i
\(513\) −5.08208 + 13.6541i −0.224379 + 0.602845i
\(514\) −0.929638 2.86113i −0.0410046 0.126199i
\(515\) −14.5187 0.129159i −0.639772 0.00569144i
\(516\) 2.89921 8.51388i 0.127630 0.374803i
\(517\) −0.406799 + 3.87044i −0.0178910 + 0.170222i
\(518\) 1.12544 + 1.94932i 0.0494491 + 0.0856483i
\(519\) 7.71101 3.30413i 0.338476 0.145035i
\(520\) −5.91639 0.0526324i −0.259451 0.00230808i
\(521\) 3.10180 2.25359i 0.135892 0.0987315i −0.517762 0.855524i \(-0.673235\pi\)
0.653655 + 0.756793i \(0.273235\pi\)
\(522\) −4.57309 2.19206i −0.200159 0.0959437i
\(523\) −4.69973 14.4643i −0.205505 0.632479i −0.999692 0.0248060i \(-0.992103\pi\)
0.794187 0.607673i \(-0.207897\pi\)
\(524\) 3.23082 5.59594i 0.141139 0.244460i
\(525\) 7.25176 + 5.63001i 0.316493 + 0.245714i
\(526\) 2.30116 + 3.98572i 0.100335 + 0.173786i
\(527\) −20.6392 + 22.9222i −0.899058 + 0.998505i
\(528\) −34.5543 15.9701i −1.50378 0.695008i
\(529\) 2.36566 + 22.5077i 0.102855 + 0.978597i
\(530\) −1.92132 + 2.09604i −0.0834569 + 0.0910463i
\(531\) 0.141651 1.06019i 0.00614712 0.0460081i
\(532\) −5.82070 −0.252359
\(533\) −19.3121 + 8.59830i −0.836500 + 0.372434i
\(534\) −1.23617 1.41231i −0.0534941 0.0611168i
\(535\) −6.56629 + 2.85378i −0.283885 + 0.123380i
\(536\) 6.03754 6.70537i 0.260782 0.289628i
\(537\) 8.39745 24.6602i 0.362377 1.06416i
\(538\) −2.67627 2.97230i −0.115382 0.128145i
\(539\) 10.6381 + 32.7406i 0.458214 + 1.41024i
\(540\) −5.91773 21.9701i −0.254659 0.945445i
\(541\) −10.7190 + 32.9898i −0.460847 + 1.41834i 0.403283 + 0.915075i \(0.367869\pi\)
−0.864131 + 0.503267i \(0.832131\pi\)
\(542\) −1.64485 + 0.732333i −0.0706522 + 0.0314564i
\(543\) 20.5304 + 0.288502i 0.881043 + 0.0123808i
\(544\) 1.82778 17.3902i 0.0783654 0.745597i
\(545\) −1.44577 15.0416i −0.0619300 0.644310i
\(546\) 0.111134 + 1.22236i 0.00475610 + 0.0523122i
\(547\) 1.65599 + 15.7557i 0.0708051 + 0.673665i 0.971147 + 0.238482i \(0.0766498\pi\)
−0.900342 + 0.435183i \(0.856684\pi\)
\(548\) −2.83919 8.73814i −0.121284 0.373275i
\(549\) 11.0768 17.9980i 0.472747 0.768134i
\(550\) 5.50817 2.33588i 0.234869 0.0996022i
\(551\) 11.6027 20.0965i 0.494292 0.856139i
\(552\) −0.577464 + 0.623493i −0.0245785 + 0.0265376i
\(553\) 11.0821 + 4.93408i 0.471260 + 0.209819i
\(554\) 2.87769 + 1.28123i 0.122261 + 0.0544342i
\(555\) −26.2465 30.5303i −1.11410 1.29594i
\(556\) 24.4040 10.8653i 1.03496 0.460793i
\(557\) 37.2858 1.57985 0.789926 0.613202i \(-0.210119\pi\)
0.789926 + 0.613202i \(0.210119\pi\)
\(558\) −2.04063 1.57208i −0.0863869 0.0665513i
\(559\) 2.68173 8.25352i 0.113425 0.349087i
\(560\) 7.24043 5.16270i 0.305964 0.218164i
\(561\) 72.5996 + 16.5010i 3.06516 + 0.696674i
\(562\) −1.76576 + 0.375325i −0.0744843 + 0.0158321i
\(563\) −20.7373 + 4.40785i −0.873973 + 0.185769i −0.622997 0.782224i \(-0.714085\pi\)
−0.250977 + 0.967993i \(0.580752\pi\)
\(564\) 0.666095 + 2.15248i 0.0280477 + 0.0906359i
\(565\) −9.95748 + 7.10006i −0.418914 + 0.298702i
\(566\) 0.935532 2.87927i 0.0393233 0.121025i
\(567\) −8.92023 + 3.38485i −0.374615 + 0.142150i
\(568\) 3.31228 0.138980
\(569\) −36.9335 + 16.4438i −1.54833 + 0.689361i −0.990105 0.140328i \(-0.955184\pi\)
−0.558226 + 0.829689i \(0.688518\pi\)
\(570\) −2.17956 + 0.411251i −0.0912919 + 0.0172254i
\(571\) −20.8819 9.29724i −0.873882 0.389077i −0.0797443 0.996815i \(-0.525410\pi\)
−0.794138 + 0.607738i \(0.792077\pi\)
\(572\) −34.3009 15.2718i −1.43419 0.638544i
\(573\) 11.0175 + 2.50414i 0.460261 + 0.104612i
\(574\) −0.699297 + 1.21122i −0.0291881 + 0.0505553i
\(575\) 0.263440 + 3.02292i 0.0109862 + 0.126064i
\(576\) −21.0399 0.591441i −0.876664 0.0246434i
\(577\) −9.92256 30.5385i −0.413081 1.27133i −0.913956 0.405814i \(-0.866988\pi\)
0.500874 0.865520i \(-0.333012\pi\)
\(578\) 0.786407 + 7.48216i 0.0327102 + 0.311217i
\(579\) −1.57360 0.727276i −0.0653967 0.0302246i
\(580\) 3.46740 + 36.0743i 0.143976 + 1.49790i
\(581\) 0.637097 6.06158i 0.0264312 0.251477i
\(582\) 0.0426768 + 0.0763771i 0.00176901 + 0.00316593i
\(583\) −33.3197 + 14.8349i −1.37996 + 0.614397i
\(584\) −1.87574 + 5.77293i −0.0776187 + 0.238886i
\(585\) −6.00731 21.1166i −0.248372 0.873065i
\(586\) −0.121992 0.375452i −0.00503943 0.0155098i
\(587\) 0.356704 + 0.396160i 0.0147228 + 0.0163513i 0.750461 0.660914i \(-0.229831\pi\)
−0.735738 + 0.677266i \(0.763165\pi\)
\(588\) 13.1271 + 14.9977i 0.541353 + 0.618493i
\(589\) 7.88716 8.75958i 0.324985 0.360932i
\(590\) 0.149342 0.0649058i 0.00614832 0.00267213i
\(591\) −6.52016 + 19.1473i −0.268204 + 0.787613i
\(592\) −35.6263 + 15.8618i −1.46423 + 0.651917i
\(593\) −17.3091 −0.710801 −0.355401 0.934714i \(-0.615656\pi\)
−0.355401 + 0.934714i \(0.615656\pi\)
\(594\) −0.909942 + 6.15077i −0.0373354 + 0.252369i
\(595\) −11.7522 + 12.8210i −0.481795 + 0.525608i
\(596\) 1.78900 + 17.0212i 0.0732801 + 0.697214i
\(597\) −28.1006 + 19.8190i −1.15008 + 0.811140i
\(598\) −0.271451 + 0.301477i −0.0111005 + 0.0123283i
\(599\) 16.8500 + 29.1850i 0.688471 + 1.19247i 0.972332 + 0.233602i \(0.0750513\pi\)
−0.283861 + 0.958865i \(0.591615\pi\)
\(600\) 4.84832 5.05147i 0.197932 0.206225i
\(601\) 16.7195 28.9590i 0.682001 1.18126i −0.292368 0.956306i \(-0.594443\pi\)
0.974369 0.224955i \(-0.0722235\pi\)
\(602\) −0.177422 0.546049i −0.00723119 0.0222553i
\(603\) 30.1917 + 14.4720i 1.22950 + 0.589347i
\(604\) 11.4300 8.30439i 0.465081 0.337901i
\(605\) 52.1466 + 0.463898i 2.12006 + 0.0188601i
\(606\) −0.0763030 + 0.639413i −0.00309960 + 0.0259744i
\(607\) 0.0277762 + 0.0481097i 0.00112740 + 0.00195271i 0.866589 0.499023i \(-0.166308\pi\)
−0.865461 + 0.500976i \(0.832974\pi\)
\(608\) −0.698476 + 6.64555i −0.0283269 + 0.269513i
\(609\) 14.9072 2.95033i 0.604070 0.119553i
\(610\) 3.21723 + 0.0286206i 0.130262 + 0.00115881i
\(611\) 0.671833 + 2.06769i 0.0271795 + 0.0836498i
\(612\) 42.3979 7.77368i 1.71383 0.314232i
\(613\) 7.19171 22.1338i 0.290470 0.893976i −0.694235 0.719748i \(-0.744257\pi\)
0.984705 0.174228i \(-0.0557429\pi\)
\(614\) 1.05036 + 0.223261i 0.0423891 + 0.00901008i
\(615\) 8.27443 23.6085i 0.333657 0.951988i
\(616\) −4.91139 + 1.04395i −0.197885 + 0.0420619i
\(617\) −2.63256 + 25.0471i −0.105983 + 1.00836i 0.804258 + 0.594280i \(0.202563\pi\)
−0.910241 + 0.414079i \(0.864104\pi\)
\(618\) 2.29691 + 0.0322771i 0.0923952 + 0.00129838i
\(619\) 26.3839 11.7469i 1.06046 0.472147i 0.199014 0.979997i \(-0.436226\pi\)
0.861446 + 0.507849i \(0.169559\pi\)
\(620\) −2.08698 + 18.2896i −0.0838150 + 0.734530i
\(621\) −2.82418 1.40287i −0.113330 0.0562953i
\(622\) 0.410880 0.298522i 0.0164748 0.0119696i
\(623\) 5.50128 + 1.16933i 0.220404 + 0.0468483i
\(624\) −21.2633 0.298801i −0.851215 0.0119616i
\(625\) −1.72704 24.9403i −0.0690815 0.997611i
\(626\) 0.347122 + 0.601233i 0.0138738 + 0.0240301i
\(627\) −27.7436 6.30577i −1.10797 0.251828i
\(628\) 0.702713 + 6.68587i 0.0280413 + 0.266795i
\(629\) 61.7062 44.8322i 2.46039 1.78758i
\(630\) −1.14271 0.896640i −0.0455267 0.0357230i
\(631\) −15.1475 11.0053i −0.603011 0.438113i 0.243935 0.969792i \(-0.421562\pi\)
−0.846946 + 0.531678i \(0.821562\pi\)
\(632\) 4.62584 8.01219i 0.184006 0.318708i
\(633\) 0.767016 6.42753i 0.0304862 0.255472i
\(634\) 4.56486 0.970290i 0.181294 0.0385351i
\(635\) −4.13554 4.67598i −0.164114 0.185560i
\(636\) −14.3488 + 15.4925i −0.568967 + 0.614319i
\(637\) 12.8684 + 14.2918i 0.509865 + 0.566262i
\(638\) 3.06031 9.41866i 0.121159 0.372888i
\(639\) 3.46808 + 11.7912i 0.137195 + 0.466455i
\(640\) −6.82413 12.0664i −0.269747 0.476965i
\(641\) −10.0287 11.1380i −0.396111 0.439926i 0.511790 0.859111i \(-0.328983\pi\)
−0.907901 + 0.419185i \(0.862316\pi\)
\(642\) 1.04118 0.446142i 0.0410922 0.0176078i
\(643\) −11.6899 20.2474i −0.461003 0.798481i 0.538008 0.842940i \(-0.319177\pi\)
−0.999011 + 0.0444587i \(0.985844\pi\)
\(644\) 0.131690 1.25295i 0.00518932 0.0493731i
\(645\) 4.92947 + 9.00938i 0.194098 + 0.354744i
\(646\) −0.439221 4.17891i −0.0172809 0.164417i
\(647\) −2.31589 + 1.68259i −0.0910469 + 0.0661494i −0.632377 0.774660i \(-0.717921\pi\)
0.541331 + 0.840810i \(0.317921\pi\)
\(648\) 1.85622 + 7.03562i 0.0729190 + 0.276385i
\(649\) 2.08875 0.0819906
\(650\) 2.28031 2.44367i 0.0894409 0.0958486i
\(651\) 7.71821 + 0.108459i 0.302500 + 0.00425086i
\(652\) 28.6366 31.8042i 1.12150 1.24555i
\(653\) 37.3111 + 16.6120i 1.46009 + 0.650076i 0.974557 0.224140i \(-0.0719572\pi\)
0.485538 + 0.874216i \(0.338624\pi\)
\(654\) 0.216467 + 2.38091i 0.00846452 + 0.0931010i
\(655\) 2.21749 + 7.03712i 0.0866444 + 0.274963i
\(656\) −19.6036 14.2429i −0.765393 0.556091i
\(657\) −22.5148 0.632900i −0.878386 0.0246918i
\(658\) 0.116367 + 0.0845455i 0.00453645 + 0.00329593i
\(659\) 23.2117 + 25.7792i 0.904198 + 1.00421i 0.999961 + 0.00880948i \(0.00280418\pi\)
−0.0957632 + 0.995404i \(0.530529\pi\)
\(660\) 40.9954 17.1363i 1.59575 0.667031i
\(661\) 1.15235 1.27982i 0.0448214 0.0497792i −0.720317 0.693645i \(-0.756004\pi\)
0.765139 + 0.643866i \(0.222670\pi\)
\(662\) 4.84566 1.02998i 0.188332 0.0400312i
\(663\) 40.8002 8.07489i 1.58455 0.313603i
\(664\) −4.54677 0.966446i −0.176449 0.0375054i
\(665\) 4.49106 4.89946i 0.174156 0.189993i
\(666\) 4.12757 + 4.85162i 0.159940 + 0.187997i
\(667\) 4.06341 + 2.95224i 0.157336 + 0.114311i
\(668\) −1.72358 + 2.98533i −0.0666873 + 0.115506i
\(669\) 6.79561 2.91189i 0.262734 0.112580i
\(670\) 0.487682 + 5.07377i 0.0188408 + 0.196017i
\(671\) 37.7019 + 16.7859i 1.45546 + 0.648014i
\(672\) −3.57596 + 2.52209i −0.137946 + 0.0972916i
\(673\) −42.3377 8.99916i −1.63200 0.346892i −0.701354 0.712813i \(-0.747421\pi\)
−0.930646 + 0.365921i \(0.880754\pi\)
\(674\) 1.48107 0.0570487
\(675\) 23.0589 + 11.9703i 0.887537 + 0.460737i
\(676\) 4.48231 0.172397
\(677\) 27.3414 + 5.81160i 1.05082 + 0.223358i 0.700779 0.713378i \(-0.252836\pi\)
0.350037 + 0.936736i \(0.386169\pi\)
\(678\) 1.58117 1.11518i 0.0607244 0.0428283i
\(679\) −0.239505 0.106635i −0.00919137 0.00409226i
\(680\) 8.78752 + 9.93587i 0.336986 + 0.381023i
\(681\) 27.9463 11.9749i 1.07090 0.458878i
\(682\) 2.51520 4.35646i 0.0963121 0.166817i
\(683\) −24.4163 17.7395i −0.934263 0.678782i 0.0127699 0.999918i \(-0.495935\pi\)
−0.947033 + 0.321137i \(0.895935\pi\)
\(684\) −16.2021 + 2.97067i −0.619504 + 0.113586i
\(685\) 9.54579 + 4.35222i 0.364726 + 0.166290i
\(686\) 2.72710 + 0.579664i 0.104121 + 0.0221317i
\(687\) −33.8159 + 6.69261i −1.29016 + 0.255339i
\(688\) 9.73009 2.06820i 0.370956 0.0788492i
\(689\) −13.6337 + 15.1418i −0.519404 + 0.576856i
\(690\) −0.0392132 0.478472i −0.00149282 0.0182151i
\(691\) −13.5339 15.0309i −0.514853 0.571803i 0.428521 0.903532i \(-0.359035\pi\)
−0.943375 + 0.331729i \(0.892368\pi\)
\(692\) 7.67339 + 5.57505i 0.291699 + 0.211931i
\(693\) −8.85871 16.3908i −0.336515 0.622635i
\(694\) 1.44849 + 1.05239i 0.0549840 + 0.0399482i
\(695\) −9.68358 + 28.9249i −0.367319 + 1.09718i
\(696\) −1.04937 11.5419i −0.0397761 0.437496i
\(697\) 43.2953 + 19.2763i 1.63992 + 0.730142i
\(698\) −2.14098 + 2.37780i −0.0810372 + 0.0900010i
\(699\) −40.3736 0.567346i −1.52707 0.0214590i
\(700\) −1.26847 + 10.3020i −0.0479435 + 0.389380i
\(701\) 1.01580 0.0383663 0.0191832 0.999816i \(-0.493893\pi\)
0.0191832 + 0.999816i \(0.493893\pi\)
\(702\) 0.933194 + 3.34577i 0.0352211 + 0.126278i
\(703\) −23.5807 + 17.1324i −0.889363 + 0.646160i
\(704\) −4.29648 40.8783i −0.161930 1.54066i
\(705\) −2.32575 1.10011i −0.0875928 0.0414326i
\(706\) 0.165928 1.57870i 0.00624478 0.0594151i
\(707\) −0.964808 1.67110i −0.0362853 0.0628480i
\(708\) 1.11156 0.476300i 0.0417751 0.0179005i
\(709\) −4.83199 5.36646i −0.181469 0.201542i 0.645546 0.763721i \(-0.276630\pi\)
−0.827015 + 0.562179i \(0.809963\pi\)
\(710\) −1.26435 + 1.37933i −0.0474504 + 0.0517654i
\(711\) 33.3657 + 8.07829i 1.25131 + 0.302959i
\(712\) 1.32547 4.07937i 0.0496739 0.152881i
\(713\) 1.70712 + 1.89595i 0.0639322 + 0.0710038i
\(714\) 1.86978 2.01882i 0.0699749 0.0755526i
\(715\) 39.3202 17.0890i 1.47049 0.639092i
\(716\) 28.8097 6.12369i 1.07667 0.228853i
\(717\) 2.32608 19.4924i 0.0868692 0.727957i
\(718\) 0.0437354 0.0757519i 0.00163219 0.00282703i
\(719\) −30.9106 22.4578i −1.15277 0.837536i −0.163923 0.986473i \(-0.552415\pi\)
−0.988847 + 0.148937i \(0.952415\pi\)
\(720\) 17.5192 18.0658i 0.652900 0.673273i
\(721\) −5.56882 + 4.04598i −0.207394 + 0.150680i
\(722\) −0.237806 2.26257i −0.00885022 0.0842042i
\(723\) −10.6632 2.42361i −0.396567 0.0901349i
\(724\) 11.6071 + 20.1041i 0.431375 + 0.747164i
\(725\) −33.0402 24.9151i −1.22708 0.925323i
\(726\) −8.24975 0.115929i −0.306177 0.00430253i
\(727\) 32.9070 + 6.99460i 1.22045 + 0.259415i 0.772717 0.634750i \(-0.218897\pi\)
0.447736 + 0.894166i \(0.352230\pi\)
\(728\) −2.26929 + 1.64874i −0.0841057 + 0.0611063i
\(729\) −23.1023 + 13.9744i −0.855640 + 0.517571i
\(730\) −1.68802 2.98474i −0.0624764 0.110470i
\(731\) −17.7735 + 7.91329i −0.657378 + 0.292684i
\(732\) 23.8914 + 0.335732i 0.883052 + 0.0124090i
\(733\) −2.17850 + 20.7271i −0.0804648 + 0.765571i 0.877672 + 0.479261i \(0.159095\pi\)
−0.958137 + 0.286310i \(0.907571\pi\)
\(734\) 2.39855 0.509828i 0.0885321 0.0188181i
\(735\) −22.7524 0.522198i −0.839236 0.0192616i
\(736\) −1.41470 0.300704i −0.0521466 0.0110841i
\(737\) −20.2043 + 62.1824i −0.744235 + 2.29052i
\(738\) −1.32836 + 3.72837i −0.0488975 + 0.137243i
\(739\) −12.3878 38.1258i −0.455694 1.40248i −0.870319 0.492489i \(-0.836087\pi\)
0.414625 0.909992i \(-0.363913\pi\)
\(740\) 14.4511 43.1654i 0.531231 1.58679i
\(741\) −15.5916 + 3.08577i −0.572771 + 0.113359i
\(742\) −0.140906 + 1.34063i −0.00517284 + 0.0492163i
\(743\) −16.6078 28.7655i −0.609280 1.05530i −0.991359 0.131174i \(-0.958125\pi\)
0.382079 0.924129i \(-0.375208\pi\)
\(744\) 0.697552 5.84543i 0.0255735 0.214304i
\(745\) −15.7076 11.6271i −0.575481 0.425984i
\(746\) 2.70822 1.96763i 0.0991548 0.0720402i
\(747\) −1.32022 17.1978i −0.0483044 0.629233i
\(748\) 26.0117 + 80.0558i 0.951082 + 2.92713i
\(749\) −1.69715 + 2.93955i −0.0620124 + 0.107409i
\(750\) 0.252892 + 3.94722i 0.00923430 + 0.144132i
\(751\) 22.8683 + 39.6090i 0.834475 + 1.44535i 0.894457 + 0.447154i \(0.147562\pi\)
−0.0599820 + 0.998199i \(0.519104\pi\)
\(752\) −1.66751 + 1.85196i −0.0608080 + 0.0675341i
\(753\) 27.5434 19.4261i 1.00374 0.707926i
\(754\) −0.578297 5.50213i −0.0210603 0.200376i
\(755\) −1.82895 + 16.0284i −0.0665624 + 0.583333i
\(756\) −8.45193 6.70259i −0.307394 0.243771i
\(757\) −49.4735 −1.79815 −0.899073 0.437799i \(-0.855758\pi\)
−0.899073 + 0.437799i \(0.855758\pi\)
\(758\) 0.777435 0.346136i 0.0282377 0.0125722i
\(759\) 1.98505 5.82934i 0.0720526 0.211592i
\(760\) −3.35810 3.79694i −0.121811 0.137729i
\(761\) −23.0739 + 25.6262i −0.836429 + 0.928949i −0.998325 0.0578593i \(-0.981573\pi\)
0.161896 + 0.986808i \(0.448239\pi\)
\(762\) 0.650472 + 0.743161i 0.0235641 + 0.0269219i
\(763\) −4.79359 5.32382i −0.173539 0.192735i
\(764\) 3.94745 + 12.1490i 0.142814 + 0.439535i
\(765\) −26.1694 + 41.6855i −0.946158 + 1.50714i
\(766\) 1.27955 3.93804i 0.0462319 0.142287i
\(767\) 1.06598 0.474606i 0.0384904 0.0171370i
\(768\) −10.7855 19.3023i −0.389187 0.696513i
\(769\) 3.28080 31.2147i 0.118309 1.12563i −0.760793 0.648995i \(-0.775190\pi\)
0.879101 0.476635i \(-0.158144\pi\)
\(770\) 1.44003 2.44374i 0.0518951 0.0880663