Properties

Label 588.2.x.b.55.1
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.1
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.41421 + 0.00366928i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.99997 - 0.0103783i) q^{4} +(0.477768 - 0.992096i) q^{5} +(-1.27575 - 0.610296i) q^{6} +(2.27188 + 1.35593i) q^{7} +(-2.82834 + 0.0220155i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.672024 + 1.40478i) q^{10} +(-1.30247 - 1.03868i) q^{11} +(1.80642 + 0.858405i) q^{12} +(2.97068 + 2.36904i) q^{13} +(-3.21789 - 1.90923i) q^{14} +(0.860908 - 0.686552i) q^{15} +(3.99978 - 0.0415125i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 - 1.10339i) q^{18} -4.75410 q^{19} +(0.945227 - 1.98912i) q^{20} +(1.45858 + 2.20738i) q^{21} +(1.84577 + 1.46414i) q^{22} +(-0.687683 + 0.156959i) q^{23} +(-2.55780 - 1.20734i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-4.20986 - 3.33942i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.55778 + 2.68824i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 + 0.974086i) q^{30} -0.923958 q^{31} +(-5.65638 + 0.0733836i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-6.80339 - 1.53427i) q^{34} +(2.43065 - 1.60611i) q^{35} +(1.25508 + 1.55717i) q^{36} +(2.30980 - 10.1199i) q^{37} +(6.72329 - 0.0174441i) q^{38} +(1.64860 + 3.42336i) q^{39} +(-1.32945 + 2.81650i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.07084 - 3.11635i) q^{42} +(1.07381 + 2.22980i) q^{43} +(-2.61568 - 2.06382i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.971952 - 0.224496i) q^{46} +(-2.15096 + 2.69722i) q^{47} +(3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 - 4.17905i) q^{50} +(3.85563 + 3.07476i) q^{51} +(5.96587 + 4.70719i) q^{52} +(2.03963 + 8.93618i) q^{53} +(-0.318268 - 1.37794i) q^{54} +(-1.65275 + 0.795923i) q^{55} +(-6.45551 - 3.78502i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(-1.76896 + 7.84408i) q^{58} +(10.9919 - 5.29344i) q^{59} +(1.71467 - 1.38202i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(1.30667 - 0.00339026i) q^{62} +(0.356388 + 2.62164i) q^{63} +(7.99903 - 0.124535i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.02772 + 2.11999i) q^{66} +3.80325i q^{67} +(9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-3.43155 + 2.28029i) q^{70} +(2.52044 - 0.575275i) q^{71} +(-1.78065 - 2.19756i) q^{72} +(9.44759 - 7.53420i) q^{73} +(-3.22941 + 14.3201i) q^{74} +(0.842794 + 3.69252i) q^{75} +(-9.50807 + 0.0493393i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(-2.34403 - 4.83530i) q^{78} +9.75534i q^{79} +(1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.71674 - 5.67902i) q^{82} +(-10.3125 - 12.9314i) q^{83} +(2.94003 + 4.39957i) q^{84} +(3.38576 - 4.24560i) q^{85} +(-1.52678 - 3.14946i) q^{86} +(3.54510 - 4.44541i) q^{87} +(3.70669 + 2.90908i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(-1.51730 + 0.350459i) q^{90} +(3.53679 + 9.41022i) q^{91} +(-1.37372 + 0.321051i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(3.03201 - 3.82232i) q^{94} +(-2.27136 + 4.71652i) q^{95} +(-5.12806 - 2.38809i) q^{96} -5.63973i q^{97} +(-4.72189 - 8.70079i) q^{98} -1.66592i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41421 + 0.00366928i −0.999997 + 0.00259457i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) 1.99997 0.0103783i 0.999987 0.00518913i
\(5\) 0.477768 0.992096i 0.213664 0.443679i −0.766399 0.642365i \(-0.777953\pi\)
0.980063 + 0.198686i \(0.0636675\pi\)
\(6\) −1.27575 0.610296i −0.520823 0.249152i
\(7\) 2.27188 + 1.35593i 0.858691 + 0.512493i
\(8\) −2.82834 + 0.0220155i −0.999970 + 0.00778365i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.672024 + 1.40478i −0.212513 + 0.444232i
\(11\) −1.30247 1.03868i −0.392709 0.313175i 0.407152 0.913360i \(-0.366522\pi\)
−0.799861 + 0.600186i \(0.795093\pi\)
\(12\) 1.80642 + 0.858405i 0.521468 + 0.247800i
\(13\) 2.97068 + 2.36904i 0.823919 + 0.657054i 0.941874 0.335965i \(-0.109062\pi\)
−0.117955 + 0.993019i \(0.537634\pi\)
\(14\) −3.21789 1.90923i −0.860018 0.510264i
\(15\) 0.860908 0.686552i 0.222286 0.177267i
\(16\) 3.99978 0.0415125i 0.999946 0.0103781i
\(17\) 4.80790 + 1.09737i 1.16609 + 0.266152i 0.761386 0.648298i \(-0.224519\pi\)
0.404699 + 0.914450i \(0.367376\pi\)
\(18\) −0.884614 1.10339i −0.208505 0.260070i
\(19\) −4.75410 −1.09067 −0.545333 0.838220i \(-0.683597\pi\)
−0.545333 + 0.838220i \(0.683597\pi\)
\(20\) 0.945227 1.98912i 0.211359 0.444781i
\(21\) 1.45858 + 2.20738i 0.318288 + 0.481691i
\(22\) 1.84577 + 1.46414i 0.393520 + 0.312155i
\(23\) −0.687683 + 0.156959i −0.143392 + 0.0327283i −0.293614 0.955924i \(-0.594858\pi\)
0.150222 + 0.988652i \(0.452001\pi\)
\(24\) −2.55780 1.20734i −0.522109 0.246446i
\(25\) 2.36146 + 2.96117i 0.472291 + 0.592235i
\(26\) −4.20986 3.33942i −0.825621 0.654914i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) 4.55778 + 2.68824i 0.861339 + 0.508030i
\(29\) 1.26523 5.54334i 0.234947 1.02937i −0.710526 0.703671i \(-0.751543\pi\)
0.945473 0.325700i \(-0.105600\pi\)
\(30\) −1.21499 + 0.974086i −0.221825 + 0.177843i
\(31\) −0.923958 −0.165948 −0.0829739 0.996552i \(-0.526442\pi\)
−0.0829739 + 0.996552i \(0.526442\pi\)
\(32\) −5.65638 + 0.0733836i −0.999916 + 0.0129725i
\(33\) −0.722815 1.50094i −0.125826 0.261280i
\(34\) −6.80339 1.53427i −1.16677 0.263125i
\(35\) 2.43065 1.60611i 0.410854 0.271481i
\(36\) 1.25508 + 1.55717i 0.209179 + 0.259529i
\(37\) 2.30980 10.1199i 0.379729 1.66370i −0.318572 0.947899i \(-0.603203\pi\)
0.698302 0.715804i \(-0.253939\pi\)
\(38\) 6.72329 0.0174441i 1.09066 0.00282981i
\(39\) 1.64860 + 3.42336i 0.263988 + 0.548177i
\(40\) −1.32945 + 2.81650i −0.210204 + 0.445328i
\(41\) −1.93144 + 4.01068i −0.301640 + 0.626363i −0.995606 0.0936458i \(-0.970148\pi\)
0.693965 + 0.720009i \(0.255862\pi\)
\(42\) −2.07084 3.11635i −0.319537 0.480863i
\(43\) 1.07381 + 2.22980i 0.163755 + 0.340041i 0.966659 0.256068i \(-0.0824270\pi\)
−0.802904 + 0.596109i \(0.796713\pi\)
\(44\) −2.61568 2.06382i −0.394328 0.311133i
\(45\) 1.07354 0.245027i 0.160033 0.0365265i
\(46\) 0.971952 0.224496i 0.143307 0.0331002i
\(47\) −2.15096 + 2.69722i −0.313750 + 0.393429i −0.913554 0.406717i \(-0.866674\pi\)
0.599805 + 0.800146i \(0.295245\pi\)
\(48\) 3.62169 + 1.69804i 0.522746 + 0.245091i
\(49\) 3.32291 + 6.16103i 0.474701 + 0.880147i
\(50\) −3.35046 4.17905i −0.473826 0.591007i
\(51\) 3.85563 + 3.07476i 0.539897 + 0.430553i
\(52\) 5.96587 + 4.70719i 0.827318 + 0.652769i
\(53\) 2.03963 + 8.93618i 0.280164 + 1.22748i 0.897583 + 0.440845i \(0.145321\pi\)
−0.617419 + 0.786634i \(0.711822\pi\)
\(54\) −0.318268 1.37794i −0.0433108 0.187513i
\(55\) −1.65275 + 0.795923i −0.222857 + 0.107322i
\(56\) −6.45551 3.78502i −0.862654 0.505794i
\(57\) −4.28330 2.06273i −0.567336 0.273215i
\(58\) −1.76896 + 7.84408i −0.232276 + 1.02998i
\(59\) 10.9919 5.29344i 1.43103 0.689148i 0.451841 0.892098i \(-0.350767\pi\)
0.979189 + 0.202951i \(0.0650531\pi\)
\(60\) 1.71467 1.38202i 0.221363 0.178418i
\(61\) −1.46080 0.333417i −0.187036 0.0426897i 0.127977 0.991777i \(-0.459152\pi\)
−0.315013 + 0.949087i \(0.602009\pi\)
\(62\) 1.30667 0.00339026i 0.165947 0.000430564i
\(63\) 0.356388 + 2.62164i 0.0449006 + 0.330295i
\(64\) 7.99903 0.124535i 0.999879 0.0155668i
\(65\) 3.76961 1.81535i 0.467563 0.225166i
\(66\) 1.02772 + 2.11999i 0.126503 + 0.260953i
\(67\) 3.80325i 0.464641i 0.972639 + 0.232321i \(0.0746319\pi\)
−0.972639 + 0.232321i \(0.925368\pi\)
\(68\) 9.62705 + 2.14481i 1.16745 + 0.260097i
\(69\) −0.687683 0.156959i −0.0827874 0.0188957i
\(70\) −3.43155 + 2.28029i −0.410148 + 0.272547i
\(71\) 2.52044 0.575275i 0.299122 0.0682726i −0.0703261 0.997524i \(-0.522404\pi\)
0.369448 + 0.929251i \(0.379547\pi\)
\(72\) −1.78065 2.19756i −0.209852 0.258985i
\(73\) 9.44759 7.53420i 1.10576 0.881811i 0.112036 0.993704i \(-0.464263\pi\)
0.993720 + 0.111893i \(0.0356913\pi\)
\(74\) −3.22941 + 14.3201i −0.375411 + 1.66468i
\(75\) 0.842794 + 3.69252i 0.0973175 + 0.426376i
\(76\) −9.50807 + 0.0493393i −1.09065 + 0.00565960i
\(77\) −1.55067 4.12582i −0.176716 0.470181i
\(78\) −2.34403 4.83530i −0.265409 0.547490i
\(79\) 9.75534i 1.09756i 0.835966 + 0.548781i \(0.184908\pi\)
−0.835966 + 0.548781i \(0.815092\pi\)
\(80\) 1.86979 3.98800i 0.209048 0.445872i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 2.71674 5.67902i 0.300014 0.627143i
\(83\) −10.3125 12.9314i −1.13194 1.41941i −0.893966 0.448134i \(-0.852089\pi\)
−0.237972 0.971272i \(-0.576483\pi\)
\(84\) 2.94003 + 4.39957i 0.320784 + 0.480033i
\(85\) 3.38576 4.24560i 0.367237 0.460500i
\(86\) −1.52678 3.14946i −0.164637 0.339615i
\(87\) 3.54510 4.44541i 0.380074 0.476598i
\(88\) 3.70669 + 2.90908i 0.395134 + 0.310109i
\(89\) −0.468102 + 0.373299i −0.0496187 + 0.0395696i −0.647985 0.761653i \(-0.724388\pi\)
0.598366 + 0.801223i \(0.295817\pi\)
\(90\) −1.51730 + 0.350459i −0.159938 + 0.0369416i
\(91\) 3.53679 + 9.41022i 0.370757 + 0.986459i
\(92\) −1.37372 + 0.321051i −0.143220 + 0.0334719i
\(93\) −0.832457 0.400890i −0.0863218 0.0415704i
\(94\) 3.03201 3.82232i 0.312728 0.394242i
\(95\) −2.27136 + 4.71652i −0.233036 + 0.483905i
\(96\) −5.12806 2.38809i −0.523380 0.243734i
\(97\) 5.63973i 0.572628i −0.958136 0.286314i \(-0.907570\pi\)
0.958136 0.286314i \(-0.0924301\pi\)
\(98\) −4.72189 8.70079i −0.476983 0.878912i
\(99\) 1.66592i 0.167431i
\(100\) 4.75358 + 5.89776i 0.475358 + 0.589776i
\(101\) −7.95176 + 16.5120i −0.791229 + 1.64300i −0.0256429 + 0.999671i \(0.508163\pi\)
−0.765586 + 0.643333i \(0.777551\pi\)
\(102\) −5.46395 4.33421i −0.541012 0.429151i
\(103\) 2.33791 + 1.12588i 0.230361 + 0.110936i 0.545504 0.838108i \(-0.316338\pi\)
−0.315143 + 0.949044i \(0.602053\pi\)
\(104\) −8.45426 6.63505i −0.829008 0.650621i
\(105\) 2.88680 0.392434i 0.281723 0.0382976i
\(106\) −2.91725 12.6301i −0.283348 1.22675i
\(107\) −5.75973 + 4.59323i −0.556815 + 0.444045i −0.861027 0.508559i \(-0.830178\pi\)
0.304212 + 0.952604i \(0.401607\pi\)
\(108\) 0.455154 + 1.94752i 0.0437972 + 0.187400i
\(109\) 1.50332 1.88510i 0.143992 0.180560i −0.704606 0.709599i \(-0.748876\pi\)
0.848597 + 0.529039i \(0.177448\pi\)
\(110\) 2.33441 1.13167i 0.222578 0.107900i
\(111\) 6.47192 8.11553i 0.614288 0.770292i
\(112\) 9.14333 + 5.32912i 0.863964 + 0.503554i
\(113\) −11.2515 14.1089i −1.05845 1.32726i −0.942576 0.333991i \(-0.891604\pi\)
−0.115874 0.993264i \(-0.536967\pi\)
\(114\) 6.06504 + 2.90141i 0.568043 + 0.271742i
\(115\) −0.172835 + 0.757238i −0.0161169 + 0.0706128i
\(116\) 2.47290 11.0997i 0.229603 1.03058i
\(117\) 3.79965i 0.351277i
\(118\) −15.5255 + 7.52637i −1.42924 + 0.692858i
\(119\) 9.43502 + 9.01227i 0.864907 + 0.826153i
\(120\) −2.41983 + 1.96076i −0.220899 + 0.178992i
\(121\) −1.83017 8.01851i −0.166379 0.728955i
\(122\) 2.06709 + 0.466161i 0.187146 + 0.0422042i
\(123\) −3.48034 + 2.77548i −0.313811 + 0.250256i
\(124\) −1.84789 + 0.00958907i −0.165946 + 0.000861124i
\(125\) 9.43367 2.15317i 0.843773 0.192586i
\(126\) −0.513626 3.70624i −0.0457574 0.330178i
\(127\) −11.7031 2.67116i −1.03848 0.237027i −0.330906 0.943664i \(-0.607354\pi\)
−0.707576 + 0.706637i \(0.750211\pi\)
\(128\) −11.3118 + 0.205469i −0.999835 + 0.0181610i
\(129\) 2.47489i 0.217902i
\(130\) −5.32436 + 2.58112i −0.466977 + 0.226379i
\(131\) 4.87113 2.34581i 0.425593 0.204955i −0.208812 0.977956i \(-0.566960\pi\)
0.634405 + 0.773001i \(0.281245\pi\)
\(132\) −1.46119 2.99434i −0.127180 0.260624i
\(133\) −10.8008 6.44622i −0.936545 0.558959i
\(134\) −0.0139552 5.37860i −0.00120555 0.464640i
\(135\) 1.07354 + 0.245027i 0.0923952 + 0.0210886i
\(136\) −13.6225 2.99789i −1.16812 0.257067i
\(137\) −9.64836 + 4.64641i −0.824315 + 0.396969i −0.797980 0.602684i \(-0.794098\pi\)
−0.0263352 + 0.999653i \(0.508384\pi\)
\(138\) 0.973104 + 0.219450i 0.0828361 + 0.0186808i
\(139\) −19.2896 9.28936i −1.63612 0.787914i −0.999865 0.0164342i \(-0.994769\pi\)
−0.636254 0.771479i \(-0.719517\pi\)
\(140\) 4.84456 3.23739i 0.409440 0.273610i
\(141\) −3.10823 + 1.49684i −0.261760 + 0.126057i
\(142\) −3.56232 + 0.822807i −0.298944 + 0.0690484i
\(143\) −1.40854 6.17120i −0.117788 0.516061i
\(144\) 2.52628 + 3.10127i 0.210523 + 0.258440i
\(145\) −4.89503 3.90366i −0.406510 0.324181i
\(146\) −13.3332 + 10.6896i −1.10346 + 0.884677i
\(147\) 0.320668 + 6.99265i 0.0264482 + 0.576744i
\(148\) 4.51452 20.2635i 0.371091 1.66565i
\(149\) −4.07343 + 5.10792i −0.333709 + 0.418457i −0.920169 0.391520i \(-0.871949\pi\)
0.586461 + 0.809977i \(0.300521\pi\)
\(150\) −1.20544 5.21891i −0.0984234 0.426122i
\(151\) −4.20290 + 0.959285i −0.342027 + 0.0780655i −0.390084 0.920779i \(-0.627554\pi\)
0.0480572 + 0.998845i \(0.484697\pi\)
\(152\) 13.4462 0.104664i 1.09063 0.00848935i
\(153\) 2.13971 + 4.44316i 0.172986 + 0.359208i
\(154\) 2.20811 + 5.82908i 0.177935 + 0.469721i
\(155\) −0.441438 + 0.916655i −0.0354571 + 0.0736275i
\(156\) 3.33269 + 6.82952i 0.266829 + 0.546800i
\(157\) −3.65606 7.59189i −0.291785 0.605899i 0.702616 0.711570i \(-0.252015\pi\)
−0.994401 + 0.105671i \(0.966301\pi\)
\(158\) −0.0357951 13.7961i −0.00284770 1.09756i
\(159\) −2.03963 + 8.93618i −0.161753 + 0.708685i
\(160\) −2.62963 + 5.64673i −0.207891 + 0.446413i
\(161\) −1.77516 0.575857i −0.139902 0.0453839i
\(162\) 0.311114 1.37957i 0.0244434 0.108389i
\(163\) −9.39553 19.5100i −0.735914 1.52814i −0.845388 0.534152i \(-0.820631\pi\)
0.109474 0.993990i \(-0.465083\pi\)
\(164\) −3.82121 + 8.04130i −0.298386 + 0.627920i
\(165\) −1.83441 −0.142809
\(166\) 14.6314 + 18.2499i 1.13562 + 1.41646i
\(167\) −1.03499 + 4.53459i −0.0800899 + 0.350897i −0.999056 0.0434396i \(-0.986168\pi\)
0.918966 + 0.394336i \(0.129026\pi\)
\(168\) −4.17396 6.21112i −0.322028 0.479199i
\(169\) 0.319831 + 1.40127i 0.0246024 + 0.107790i
\(170\) −4.77259 + 6.01659i −0.366041 + 0.461452i
\(171\) −2.96413 3.71690i −0.226673 0.284239i
\(172\) 2.17074 + 4.44839i 0.165518 + 0.339187i
\(173\) 2.12438 0.484876i 0.161514 0.0368644i −0.140999 0.990010i \(-0.545032\pi\)
0.302513 + 0.953145i \(0.402174\pi\)
\(174\) −4.99719 + 6.29975i −0.378836 + 0.477583i
\(175\) 1.34981 + 9.92941i 0.102036 + 0.750593i
\(176\) −5.25271 4.10044i −0.395938 0.309082i
\(177\) 12.2001 0.917019
\(178\) 0.660624 0.529640i 0.0495158 0.0396982i
\(179\) −17.8481 4.07372i −1.33403 0.304484i −0.504727 0.863279i \(-0.668407\pi\)
−0.829306 + 0.558795i \(0.811264\pi\)
\(180\) 2.14450 0.501190i 0.159841 0.0373565i
\(181\) −9.42031 + 7.51244i −0.700206 + 0.558396i −0.907587 0.419865i \(-0.862078\pi\)
0.207381 + 0.978260i \(0.433506\pi\)
\(182\) −5.03629 13.2950i −0.373315 0.985494i
\(183\) −1.17147 0.934213i −0.0865973 0.0690590i
\(184\) 1.94155 0.459074i 0.143133 0.0338434i
\(185\) −8.93637 7.12651i −0.657015 0.523952i
\(186\) 1.17874 + 0.563888i 0.0864294 + 0.0413463i
\(187\) −5.12231 6.42317i −0.374580 0.469709i
\(188\) −4.27387 + 5.41668i −0.311704 + 0.395052i
\(189\) −0.816392 + 2.51665i −0.0593838 + 0.183059i
\(190\) 3.19487 6.67848i 0.231780 0.484508i
\(191\) −3.10491 + 6.44742i −0.224664 + 0.466519i −0.982582 0.185831i \(-0.940502\pi\)
0.757918 + 0.652350i \(0.226217\pi\)
\(192\) 7.26091 + 3.35845i 0.524011 + 0.242375i
\(193\) −20.1531 9.70520i −1.45065 0.698595i −0.467941 0.883760i \(-0.655004\pi\)
−0.982708 + 0.185164i \(0.940718\pi\)
\(194\) 0.0206938 + 7.97576i 0.00148573 + 0.572626i
\(195\) 4.18395 0.299619
\(196\) 6.70967 + 12.2874i 0.479262 + 0.877672i
\(197\) 3.04417 0.216888 0.108444 0.994103i \(-0.465413\pi\)
0.108444 + 0.994103i \(0.465413\pi\)
\(198\) 0.00611272 + 2.35596i 0.000434412 + 0.167431i
\(199\) 3.18293 + 1.53282i 0.225632 + 0.108659i 0.543285 0.839548i \(-0.317180\pi\)
−0.317653 + 0.948207i \(0.602895\pi\)
\(200\) −6.74420 8.32322i −0.476887 0.588541i
\(201\) −1.65017 + 3.42661i −0.116394 + 0.241695i
\(202\) 11.1849 23.3806i 0.786964 1.64505i
\(203\) 10.3908 10.8782i 0.729293 0.763503i
\(204\) 7.74307 + 6.10943i 0.542124 + 0.427746i
\(205\) 3.05620 + 3.83235i 0.213454 + 0.267663i
\(206\) −3.31042 1.58365i −0.230648 0.110338i
\(207\) −0.551479 0.439790i −0.0383305 0.0305675i
\(208\) 11.9804 + 9.35233i 0.830694 + 0.648468i
\(209\) 6.19206 + 4.93800i 0.428314 + 0.341569i
\(210\) −4.08110 + 0.565576i −0.281622 + 0.0390284i
\(211\) 11.9773 9.55156i 0.824550 0.657556i −0.117484 0.993075i \(-0.537483\pi\)
0.942034 + 0.335518i \(0.108911\pi\)
\(212\) 4.17194 + 17.8510i 0.286530 + 1.22601i
\(213\) 2.52044 + 0.575275i 0.172698 + 0.0394172i
\(214\) 8.12861 6.51693i 0.555661 0.445488i
\(215\) 2.72521 0.185858
\(216\) −0.650829 2.75253i −0.0442833 0.187286i
\(217\) −2.09913 1.25282i −0.142498 0.0850471i
\(218\) −2.11909 + 2.67144i −0.143523 + 0.180933i
\(219\) 11.7810 2.68893i 0.796083 0.181701i
\(220\) −3.29720 + 1.60898i −0.222297 + 0.108477i
\(221\) 11.6830 + 14.6500i 0.785885 + 0.985468i
\(222\) −9.12287 + 11.5008i −0.612287 + 0.771884i
\(223\) −3.35634 14.7051i −0.224757 0.984725i −0.953844 0.300303i \(-0.902912\pi\)
0.729087 0.684421i \(-0.239945\pi\)
\(224\) −12.9501 7.50293i −0.865267 0.501311i
\(225\) −0.842794 + 3.69252i −0.0561863 + 0.246168i
\(226\) 15.9637 + 19.9117i 1.06189 + 1.32450i
\(227\) 13.9614 0.926654 0.463327 0.886187i \(-0.346656\pi\)
0.463327 + 0.886187i \(0.346656\pi\)
\(228\) −8.58788 4.08094i −0.568746 0.270267i
\(229\) −0.788267 1.63685i −0.0520902 0.108166i 0.873299 0.487184i \(-0.161976\pi\)
−0.925389 + 0.379018i \(0.876262\pi\)
\(230\) 0.241646 1.07153i 0.0159336 0.0706544i
\(231\) 0.393019 4.39005i 0.0258587 0.288844i
\(232\) −3.45646 + 15.7063i −0.226928 + 1.03117i
\(233\) −0.435572 + 1.90836i −0.0285353 + 0.125021i −0.987189 0.159552i \(-0.948995\pi\)
0.958654 + 0.284574i \(0.0918520\pi\)
\(234\) −0.0139420 5.37349i −0.000911415 0.351276i
\(235\) 1.64824 + 3.42260i 0.107519 + 0.223266i
\(236\) 21.9287 10.7008i 1.42743 0.696564i
\(237\) −4.23268 + 8.78926i −0.274942 + 0.570924i
\(238\) −13.3762 12.7106i −0.867048 0.823906i
\(239\) 7.36156 + 15.2864i 0.476180 + 0.988798i 0.991293 + 0.131675i \(0.0420356\pi\)
−0.515113 + 0.857122i \(0.672250\pi\)
\(240\) 3.41495 2.78180i 0.220434 0.179564i
\(241\) −0.848820 + 0.193738i −0.0546773 + 0.0124797i −0.249772 0.968305i \(-0.580356\pi\)
0.195095 + 0.980784i \(0.437499\pi\)
\(242\) 2.61767 + 11.3331i 0.168270 + 0.728521i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) −2.92501 0.651664i −0.187255 0.0417185i
\(245\) 7.69991 0.353101i 0.491929 0.0225588i
\(246\) 4.91174 3.93787i 0.313161 0.251070i
\(247\) −14.1229 11.2627i −0.898620 0.716625i
\(248\) 2.61327 0.0203414i 0.165943 0.00129168i
\(249\) −3.68047 16.1252i −0.233240 1.02189i
\(250\) −13.3333 + 3.07965i −0.843271 + 0.194774i
\(251\) 23.2284 11.1862i 1.46616 0.706066i 0.480845 0.876805i \(-0.340330\pi\)
0.985316 + 0.170739i \(0.0546156\pi\)
\(252\) 0.739974 + 5.23951i 0.0466140 + 0.330058i
\(253\) 1.05872 + 0.509851i 0.0665609 + 0.0320540i
\(254\) 16.5604 + 3.73463i 1.03909 + 0.234331i
\(255\) 4.89256 2.35613i 0.306384 0.147547i
\(256\) 15.9966 0.332082i 0.999785 0.0207551i
\(257\) 1.19958 + 0.273796i 0.0748277 + 0.0170789i 0.259771 0.965670i \(-0.416353\pi\)
−0.184943 + 0.982749i \(0.559210\pi\)
\(258\) −0.00908107 3.50001i −0.000565362 0.217901i
\(259\) 18.9695 19.8593i 1.17871 1.23400i
\(260\) 7.52028 3.66977i 0.466388 0.227590i
\(261\) 5.12281 2.46702i 0.317094 0.152704i
\(262\) −6.88019 + 3.33534i −0.425060 + 0.206058i
\(263\) 9.47880i 0.584488i 0.956344 + 0.292244i \(0.0944019\pi\)
−0.956344 + 0.292244i \(0.905598\pi\)
\(264\) 2.07741 + 4.22926i 0.127856 + 0.260293i
\(265\) 9.84002 + 2.24592i 0.604467 + 0.137966i
\(266\) 15.2982 + 9.07668i 0.937992 + 0.556527i
\(267\) −0.583713 + 0.133229i −0.0357227 + 0.00815346i
\(268\) 0.0394711 + 7.60641i 0.00241108 + 0.464635i
\(269\) 1.63184 1.30135i 0.0994948 0.0793444i −0.572479 0.819919i \(-0.694018\pi\)
0.671974 + 0.740575i \(0.265447\pi\)
\(270\) −1.51910 0.342581i −0.0924496 0.0208488i
\(271\) 0.568840 + 2.49225i 0.0345546 + 0.151394i 0.989262 0.146152i \(-0.0466890\pi\)
−0.954707 + 0.297546i \(0.903832\pi\)
\(272\) 19.2761 + 4.18966i 1.16879 + 0.254035i
\(273\) −0.896402 + 10.0129i −0.0542527 + 0.606007i
\(274\) 13.6277 6.60639i 0.823282 0.399107i
\(275\) 6.30964i 0.380485i
\(276\) −1.37698 0.306777i −0.0828843 0.0184658i
\(277\) −6.67069 + 29.2262i −0.400803 + 1.75603i 0.223359 + 0.974736i \(0.428298\pi\)
−0.624162 + 0.781295i \(0.714559\pi\)
\(278\) 27.3136 + 13.0663i 1.63816 + 0.783666i
\(279\) −0.576078 0.722380i −0.0344889 0.0432477i
\(280\) −6.83934 + 4.59613i −0.408729 + 0.274671i
\(281\) −16.9002 + 21.1922i −1.00818 + 1.26422i −0.0439881 + 0.999032i \(0.514006\pi\)
−0.964196 + 0.265191i \(0.914565\pi\)
\(282\) 4.39019 2.12825i 0.261432 0.126736i
\(283\) 13.5924 17.0443i 0.807982 1.01318i −0.191516 0.981490i \(-0.561340\pi\)
0.999498 0.0316878i \(-0.0100882\pi\)
\(284\) 5.03485 1.17669i 0.298763 0.0698238i
\(285\) −4.09284 + 3.26393i −0.242439 + 0.193339i
\(286\) 2.01461 + 8.72219i 0.119126 + 0.515754i
\(287\) −9.82621 + 6.49290i −0.580023 + 0.383264i
\(288\) −3.58407 4.37658i −0.211193 0.257892i
\(289\) 6.59516 + 3.17606i 0.387951 + 0.186827i
\(290\) 6.93692 + 5.50263i 0.407350 + 0.323125i
\(291\) 2.44699 5.08122i 0.143445 0.297867i
\(292\) 18.8167 15.1662i 1.10117 0.887538i
\(293\) 18.6200i 1.08779i −0.839152 0.543897i \(-0.816948\pi\)
0.839152 0.543897i \(-0.183052\pi\)
\(294\) −0.479149 9.88789i −0.0279445 0.576674i
\(295\) 13.4341i 0.782164i
\(296\) −6.31012 + 28.6734i −0.366768 + 1.66661i
\(297\) 0.722815 1.50094i 0.0419420 0.0870934i
\(298\) 5.74194 7.23861i 0.332622 0.419322i
\(299\) −2.41473 1.16287i −0.139648 0.0672507i
\(300\) 1.72389 + 7.37620i 0.0995287 + 0.425865i
\(301\) −0.583869 + 6.52186i −0.0336537 + 0.375914i
\(302\) 5.94026 1.37205i 0.341823 0.0789526i
\(303\) −14.3286 + 11.4267i −0.823155 + 0.656444i
\(304\) −19.0154 + 0.197354i −1.09061 + 0.0113190i
\(305\) −1.02870 + 1.28995i −0.0589034 + 0.0738625i
\(306\) −3.04231 6.27571i −0.173917 0.358758i
\(307\) −17.2921 + 21.6837i −0.986915 + 1.23755i −0.0155697 + 0.999879i \(0.504956\pi\)
−0.971345 + 0.237673i \(0.923615\pi\)
\(308\) −3.14412 8.23544i −0.179153 0.469258i
\(309\) 1.61788 + 2.02876i 0.0920381 + 0.115412i
\(310\) 0.620922 1.29796i 0.0352660 0.0737192i
\(311\) 2.52659 11.0697i 0.143270 0.627706i −0.851393 0.524528i \(-0.824242\pi\)
0.994663 0.103178i \(-0.0329011\pi\)
\(312\) −4.73818 9.64614i −0.268247 0.546105i
\(313\) 19.6867i 1.11276i −0.830928 0.556379i \(-0.812190\pi\)
0.830928 0.556379i \(-0.187810\pi\)
\(314\) 5.19829 + 10.7231i 0.293357 + 0.605140i
\(315\) 2.77119 + 0.898965i 0.156139 + 0.0506509i
\(316\) 0.101243 + 19.5104i 0.00569539 + 1.09755i
\(317\) −2.20791 9.67349i −0.124009 0.543317i −0.998319 0.0579509i \(-0.981543\pi\)
0.874311 0.485367i \(-0.161314\pi\)
\(318\) 2.85167 12.6451i 0.159914 0.709103i
\(319\) −7.40569 + 5.90584i −0.414639 + 0.330664i
\(320\) 3.69813 7.99530i 0.206732 0.446951i
\(321\) −7.18227 + 1.63931i −0.400875 + 0.0914972i
\(322\) 2.51256 + 0.807869i 0.140020 + 0.0450208i
\(323\) −22.8572 5.21701i −1.27181 0.290282i
\(324\) −0.434918 + 1.95214i −0.0241621 + 0.108452i
\(325\) 14.3911i 0.798274i
\(326\) 13.3588 + 27.5568i 0.739877 + 1.52623i
\(327\) 2.17236 1.04615i 0.120132 0.0578524i
\(328\) 5.37448 11.3861i 0.296756 0.628692i
\(329\) −8.54396 + 3.21121i −0.471044 + 0.177040i
\(330\) 2.59425 0.00673098i 0.142808 0.000370528i
\(331\) −25.6987 5.86557i −1.41253 0.322401i −0.552870 0.833267i \(-0.686467\pi\)
−0.859660 + 0.510867i \(0.829325\pi\)
\(332\) −20.7588 25.7554i −1.13929 1.41351i
\(333\) 9.35220 4.50378i 0.512497 0.246806i
\(334\) 1.44705 6.41665i 0.0791792 0.351103i
\(335\) 3.77319 + 1.81707i 0.206152 + 0.0992773i
\(336\) 5.92564 + 8.76851i 0.323270 + 0.478361i
\(337\) −1.71631 + 0.826532i −0.0934934 + 0.0450241i −0.480046 0.877243i \(-0.659380\pi\)
0.386553 + 0.922267i \(0.373666\pi\)
\(338\) −0.457450 1.98052i −0.0248820 0.107726i
\(339\) −4.01561 17.5935i −0.218098 0.955549i
\(340\) 6.72736 8.52623i 0.364842 0.462400i
\(341\) 1.20343 + 0.959700i 0.0651691 + 0.0519706i
\(342\) 4.20554 + 5.24560i 0.227410 + 0.283650i
\(343\) −0.804659 + 18.5028i −0.0434475 + 0.999056i
\(344\) −3.08621 6.28299i −0.166397 0.338756i
\(345\) −0.484272 + 0.607258i −0.0260723 + 0.0326937i
\(346\) −3.00254 + 0.693511i −0.161418 + 0.0372834i
\(347\) 15.0020 3.42412i 0.805351 0.183816i 0.200022 0.979791i \(-0.435899\pi\)
0.605329 + 0.795975i \(0.293041\pi\)
\(348\) 7.04396 8.92749i 0.377596 0.478564i
\(349\) 4.79383 + 9.95450i 0.256608 + 0.532852i 0.988979 0.148053i \(-0.0473007\pi\)
−0.732371 + 0.680905i \(0.761586\pi\)
\(350\) −1.94535 14.0373i −0.103983 0.750326i
\(351\) −1.64860 + 3.42336i −0.0879960 + 0.182726i
\(352\) 7.44347 + 5.77960i 0.396738 + 0.308054i
\(353\) 15.1017 + 31.3591i 0.803785 + 1.66908i 0.741437 + 0.671022i \(0.234144\pi\)
0.0623475 + 0.998055i \(0.480141\pi\)
\(354\) −17.2536 + 0.0447657i −0.917016 + 0.00237927i
\(355\) 0.633460 2.77537i 0.0336206 0.147301i
\(356\) −0.932316 + 0.751445i −0.0494127 + 0.0398265i
\(357\) 4.59038 + 12.2135i 0.242949 + 0.646406i
\(358\) 25.2560 + 5.69561i 1.33482 + 0.301022i
\(359\) −0.148534 0.308434i −0.00783933 0.0162785i 0.897012 0.442005i \(-0.145733\pi\)
−0.904852 + 0.425727i \(0.860018\pi\)
\(360\) −3.03093 + 0.716656i −0.159744 + 0.0377711i
\(361\) 3.60146 0.189550
\(362\) 13.2947 10.6587i 0.698755 0.560210i
\(363\) 1.83017 8.01851i 0.0960591 0.420862i
\(364\) 7.17115 + 18.7835i 0.375871 + 0.984522i
\(365\) −2.96089 12.9725i −0.154980 0.679012i
\(366\) 1.66013 + 1.31687i 0.0867762 + 0.0688341i
\(367\) 12.2642 + 15.3788i 0.640186 + 0.802768i 0.991026 0.133667i \(-0.0426754\pi\)
−0.350840 + 0.936435i \(0.614104\pi\)
\(368\) −2.74407 + 0.656351i −0.143045 + 0.0342146i
\(369\) −4.33991 + 0.990556i −0.225927 + 0.0515663i
\(370\) 12.6640 + 10.0456i 0.658372 + 0.522245i
\(371\) −7.48304 + 23.0676i −0.388500 + 1.19761i
\(372\) −1.66905 0.793131i −0.0865364 0.0411219i
\(373\) −18.8281 −0.974884 −0.487442 0.873155i \(-0.662070\pi\)
−0.487442 + 0.873155i \(0.662070\pi\)
\(374\) 7.26758 + 9.06491i 0.375798 + 0.468735i
\(375\) 9.43367 + 2.15317i 0.487153 + 0.111189i
\(376\) 6.02426 7.67600i 0.310678 0.395860i
\(377\) 16.8910 13.4701i 0.869930 0.693746i
\(378\) 1.14531 3.56206i 0.0589086 0.183212i
\(379\) 14.2687 + 11.3789i 0.732935 + 0.584496i 0.917222 0.398376i \(-0.130426\pi\)
−0.184287 + 0.982872i \(0.558998\pi\)
\(380\) −4.49370 + 9.45649i −0.230522 + 0.485108i
\(381\) −9.38515 7.48441i −0.480816 0.383438i
\(382\) 4.36734 9.12939i 0.223453 0.467100i
\(383\) −10.2976 12.9128i −0.526185 0.659815i 0.445724 0.895170i \(-0.352946\pi\)
−0.971910 + 0.235355i \(0.924375\pi\)
\(384\) −10.2808 4.72290i −0.524638 0.241015i
\(385\) −4.83407 0.432770i −0.246367 0.0220560i
\(386\) 28.5362 + 13.6512i 1.45246 + 0.694829i
\(387\) −1.07381 + 2.22980i −0.0545851 + 0.113347i
\(388\) −0.0585306 11.2793i −0.00297144 0.572620i
\(389\) −30.4675 14.6724i −1.54476 0.743918i −0.548994 0.835826i \(-0.684989\pi\)
−0.995768 + 0.0919080i \(0.970703\pi\)
\(390\) −5.91699 + 0.0153521i −0.299618 + 0.000777384i
\(391\) −3.47855 −0.175918
\(392\) −9.53396 17.3523i −0.481538 0.876425i
\(393\) 5.40655 0.272724
\(394\) −4.30509 + 0.0111699i −0.216887 + 0.000562731i
\(395\) 9.67823 + 4.66079i 0.486965 + 0.234510i
\(396\) −0.0172893 3.33179i −0.000868821 0.167429i
\(397\) 13.5283 28.0918i 0.678966 1.40989i −0.221586 0.975141i \(-0.571123\pi\)
0.900553 0.434747i \(-0.143162\pi\)
\(398\) −4.50696 2.15605i −0.225913 0.108073i
\(399\) −6.93424 10.4941i −0.347146 0.525363i
\(400\) 9.56825 + 11.7460i 0.478412 + 0.587301i
\(401\) 2.06606 + 2.59076i 0.103174 + 0.129376i 0.830738 0.556664i \(-0.187919\pi\)
−0.727564 + 0.686040i \(0.759347\pi\)
\(402\) 2.32111 4.85200i 0.115767 0.241996i
\(403\) −2.74479 2.18889i −0.136728 0.109037i
\(404\) −15.7319 + 33.1061i −0.782693 + 1.64709i
\(405\) 0.860908 + 0.686552i 0.0427789 + 0.0341150i
\(406\) −14.6549 + 15.4222i −0.727310 + 0.765393i
\(407\) −13.5198 + 10.7817i −0.670152 + 0.534429i
\(408\) −10.9727 8.61160i −0.543231 0.426338i
\(409\) −9.68459 2.21045i −0.478872 0.109299i −0.0237304 0.999718i \(-0.507554\pi\)
−0.455142 + 0.890419i \(0.650411\pi\)
\(410\) −4.33616 5.40853i −0.214148 0.267108i
\(411\) −10.7089 −0.528230
\(412\) 4.68744 + 2.22746i 0.230934 + 0.109739i
\(413\) 32.1500 + 2.87822i 1.58200 + 0.141628i
\(414\) 0.781521 + 0.619931i 0.0384096 + 0.0304680i
\(415\) −17.7562 + 4.05273i −0.871615 + 0.198940i
\(416\) −16.9772 13.1822i −0.832373 0.646310i
\(417\) −13.3488 16.7389i −0.653693 0.819705i
\(418\) −8.77498 6.96064i −0.429198 0.340456i
\(419\) −5.45289 23.8907i −0.266391 1.16714i −0.914178 0.405314i \(-0.867162\pi\)
0.647787 0.761822i \(-0.275695\pi\)
\(420\) 5.76945 0.814817i 0.281520 0.0397590i
\(421\) −3.65165 + 15.9989i −0.177970 + 0.779740i 0.804595 + 0.593824i \(0.202382\pi\)
−0.982566 + 0.185916i \(0.940475\pi\)
\(422\) −16.9033 + 13.5518i −0.822841 + 0.659694i
\(423\) −3.44987 −0.167738
\(424\) −5.96549 25.2297i −0.289710 1.22526i
\(425\) 8.10413 + 16.8284i 0.393108 + 0.816298i
\(426\) −3.56654 0.804311i −0.172800 0.0389690i
\(427\) −2.86667 2.73822i −0.138728 0.132512i
\(428\) −11.4716 + 9.24612i −0.554503 + 0.446928i
\(429\) 1.40854 6.17120i 0.0680047 0.297948i
\(430\) −3.85401 + 0.00999955i −0.185857 + 0.000482221i
\(431\) 15.3681 + 31.9123i 0.740257 + 1.53716i 0.840267 + 0.542173i \(0.182398\pi\)
−0.100009 + 0.994986i \(0.531887\pi\)
\(432\) 0.930507 + 3.89026i 0.0447691 + 0.187170i
\(433\) 3.38359 7.02611i 0.162605 0.337653i −0.803707 0.595025i \(-0.797142\pi\)
0.966312 + 0.257372i \(0.0828565\pi\)
\(434\) 2.97320 + 1.76405i 0.142718 + 0.0846771i
\(435\) −2.71654 5.64095i −0.130248 0.270463i
\(436\) 2.98703 3.78576i 0.143053 0.181305i
\(437\) 3.26932 0.746200i 0.156393 0.0356956i
\(438\) −16.6509 + 3.84593i −0.795609 + 0.183766i
\(439\) −5.38630 + 6.75421i −0.257074 + 0.322361i −0.893574 0.448916i \(-0.851810\pi\)
0.636500 + 0.771277i \(0.280382\pi\)
\(440\) 4.65702 2.28753i 0.222015 0.109054i
\(441\) −2.74509 + 6.43929i −0.130718 + 0.306633i
\(442\) −16.5760 20.6753i −0.788439 0.983426i
\(443\) 17.5345 + 13.9833i 0.833091 + 0.664368i 0.944175 0.329443i \(-0.106861\pi\)
−0.111084 + 0.993811i \(0.535432\pi\)
\(444\) 12.8594 16.2980i 0.610282 0.773470i
\(445\) 0.146704 + 0.642752i 0.00695443 + 0.0304694i
\(446\) 4.80052 + 20.7837i 0.227311 + 0.984138i
\(447\) −5.88628 + 2.83468i −0.278411 + 0.134076i
\(448\) 18.3417 + 10.5632i 0.866565 + 0.499064i
\(449\) −35.7934 17.2372i −1.68919 0.813473i −0.995662 0.0930488i \(-0.970339\pi\)
−0.693533 0.720425i \(-0.743947\pi\)
\(450\) 1.17834 5.22509i 0.0555474 0.246313i
\(451\) 6.68146 3.21762i 0.314618 0.151512i
\(452\) −22.6491 28.1007i −1.06532 1.32174i
\(453\) −4.20290 0.959285i −0.197469 0.0450711i
\(454\) −19.7444 + 0.0512284i −0.926651 + 0.00240427i
\(455\) 11.0256 + 0.987067i 0.516888 + 0.0462744i
\(456\) 12.1600 + 5.73980i 0.569446 + 0.268791i
\(457\) 36.1754 17.4212i 1.69222 0.814928i 0.697016 0.717055i \(-0.254510\pi\)
0.995199 0.0978729i \(-0.0312039\pi\)
\(458\) 1.12078 + 2.31196i 0.0523706 + 0.108031i
\(459\) 4.93154i 0.230185i
\(460\) −0.337806 + 1.51625i −0.0157503 + 0.0706955i
\(461\) 9.18927 + 2.09739i 0.427987 + 0.0976853i 0.431088 0.902310i \(-0.358130\pi\)
−0.00310081 + 0.999995i \(0.500987\pi\)
\(462\) −0.539702 + 6.20989i −0.0251092 + 0.288910i
\(463\) −26.4200 + 6.03020i −1.22784 + 0.280247i −0.786783 0.617230i \(-0.788255\pi\)
−0.441061 + 0.897477i \(0.645398\pi\)
\(464\) 4.83053 22.2247i 0.224252 1.03175i
\(465\) −0.795443 + 0.634345i −0.0368878 + 0.0294170i
\(466\) 0.608987 2.70042i 0.0282108 0.125095i
\(467\) 0.859692 + 3.76656i 0.0397818 + 0.174296i 0.990916 0.134482i \(-0.0429372\pi\)
−0.951134 + 0.308778i \(0.900080\pi\)
\(468\) 0.0394337 + 7.59919i 0.00182282 + 0.351273i
\(469\) −5.15695 + 8.64055i −0.238126 + 0.398984i
\(470\) −2.34351 4.83422i −0.108098 0.222986i
\(471\) 8.42636i 0.388266i
\(472\) −30.9725 + 15.2137i −1.42562 + 0.700265i
\(473\) 0.917446 4.01959i 0.0421842 0.184821i
\(474\) 5.95365 12.4454i 0.273460 0.571635i
\(475\) −11.2266 14.0777i −0.515112 0.645930i
\(476\) 18.9633 + 17.9264i 0.869182 + 0.821654i
\(477\) −5.71490 + 7.16626i −0.261667 + 0.328121i
\(478\) −10.4669 21.5912i −0.478744 0.987559i
\(479\) 5.89075 7.38677i 0.269155 0.337510i −0.628824 0.777548i \(-0.716463\pi\)
0.897979 + 0.440037i \(0.145035\pi\)
\(480\) −4.81924 + 3.94657i −0.219967 + 0.180136i
\(481\) 30.8362 24.5910i 1.40601 1.12125i
\(482\) 1.19970 0.277100i 0.0546447 0.0126216i
\(483\) −1.34951 1.28904i −0.0614049 0.0586535i
\(484\) −3.74351 16.0178i −0.170160 0.728082i
\(485\) −5.59515 2.69448i −0.254063 0.122350i
\(486\) 0.878876 1.10796i 0.0398666 0.0502581i
\(487\) −1.69241 + 3.51433i −0.0766906 + 0.159250i −0.935789 0.352561i \(-0.885311\pi\)
0.859098 + 0.511811i \(0.171025\pi\)
\(488\) 4.13897 + 0.910857i 0.187362 + 0.0412326i
\(489\) 21.6545i 0.979249i
\(490\) −10.8880 + 0.527612i −0.491869 + 0.0238351i
\(491\) 18.5950i 0.839182i 0.907713 + 0.419591i \(0.137826\pi\)
−0.907713 + 0.419591i \(0.862174\pi\)
\(492\) −6.93178 + 5.58700i −0.312509 + 0.251881i
\(493\) 12.1662 25.2634i 0.547938 1.13780i
\(494\) 20.0141 + 15.8759i 0.900476 + 0.714291i
\(495\) −1.65275 0.795923i −0.0742856 0.0357741i
\(496\) −3.69563 + 0.0383558i −0.165939 + 0.00172223i
\(497\) 6.50619 + 2.11059i 0.291842 + 0.0946728i
\(498\) 5.26412 + 22.7909i 0.235891 + 1.02128i
\(499\) 16.8513 13.4385i 0.754368 0.601589i −0.168950 0.985625i \(-0.554038\pi\)
0.923318 + 0.384036i \(0.125466\pi\)
\(500\) 18.8447 4.40420i 0.842763 0.196962i
\(501\) −2.89998 + 3.63646i −0.129561 + 0.162465i
\(502\) −32.8087 + 15.9048i −1.46432 + 0.709868i
\(503\) 2.92619 3.66932i 0.130472 0.163607i −0.712304 0.701871i \(-0.752348\pi\)
0.842776 + 0.538264i \(0.180920\pi\)
\(504\) −1.06570 7.40704i −0.0474702 0.329936i
\(505\) 12.5824 + 15.7778i 0.559909 + 0.702103i
\(506\) −1.49912 0.717151i −0.0666439 0.0318812i
\(507\) −0.319831 + 1.40127i −0.0142042 + 0.0622327i
\(508\) −23.4336 5.22078i −1.03970 0.231635i
\(509\) 27.4868i 1.21833i −0.793043 0.609166i \(-0.791504\pi\)
0.793043 0.609166i \(-0.208496\pi\)
\(510\) −6.91046 + 3.35002i −0.306000 + 0.148341i
\(511\) 31.6797 4.30656i 1.40143 0.190511i
\(512\) −22.6212 + 0.528329i −0.999727 + 0.0233491i
\(513\) −1.05789 4.63490i −0.0467068 0.204636i
\(514\) −1.69746 0.382803i −0.0748717 0.0168847i
\(515\) 2.23396 1.78152i 0.0984399 0.0785032i
\(516\) 0.0256850 + 4.94971i 0.00113072 + 0.217899i
\(517\) 5.60311 1.27887i 0.246424 0.0562447i
\(518\) −26.7539 + 28.1548i −1.17550 + 1.23705i
\(519\) 2.12438 + 0.484876i 0.0932500 + 0.0212837i
\(520\) −10.6218 + 5.21742i −0.465796 + 0.228799i
\(521\) 25.8196i 1.13118i 0.824687 + 0.565589i \(0.191351\pi\)
−0.824687 + 0.565589i \(0.808649\pi\)
\(522\) −7.23567 + 3.50767i −0.316697 + 0.153527i
\(523\) 3.26317 1.57146i 0.142689 0.0687152i −0.361177 0.932497i \(-0.617625\pi\)
0.503866 + 0.863782i \(0.331911\pi\)
\(524\) 9.71779 4.74212i 0.424523 0.207160i
\(525\) −3.09207 + 9.53175i −0.134949 + 0.416000i
\(526\) −0.0347804 13.4050i −0.00151650 0.584486i
\(527\) −4.44229 1.01392i −0.193509 0.0441672i
\(528\) −2.95341 5.97343i −0.128531 0.259960i
\(529\) −20.2740 + 9.76345i −0.881479 + 0.424498i
\(530\) −13.9241 3.14009i −0.604823 0.136397i
\(531\) 10.9919 + 5.29344i 0.477010 + 0.229716i
\(532\) −21.6681 12.7802i −0.939432 0.554091i
\(533\) −15.2392 + 7.33879i −0.660081 + 0.317878i
\(534\) 0.825003 0.190555i 0.0357014 0.00824612i
\(535\) 1.80511 + 7.90871i 0.0780418 + 0.341923i
\(536\) −0.0837305 10.7569i −0.00361661 0.464627i
\(537\) −14.3131 11.4143i −0.617656 0.492564i
\(538\) −2.30298 + 1.84636i −0.0992886 + 0.0796023i
\(539\) 2.07138 11.4760i 0.0892204 0.494306i
\(540\) 2.14958 + 0.478907i 0.0925034 + 0.0206089i
\(541\) −17.7373 + 22.2418i −0.762585 + 0.956252i −0.999885 0.0151849i \(-0.995166\pi\)
0.237299 + 0.971437i \(0.423738\pi\)
\(542\) −0.813604 3.52248i −0.0349473 0.151303i
\(543\) −11.7469 + 2.68116i −0.504109 + 0.115060i
\(544\) −27.2758 5.85432i −1.16944 0.251002i
\(545\) −1.15196 2.39208i −0.0493447 0.102465i
\(546\) 1.23096 14.1636i 0.0526802 0.606145i
\(547\) −14.7649 + 30.6595i −0.631300 + 1.31091i 0.302513 + 0.953145i \(0.402174\pi\)
−0.933813 + 0.357762i \(0.883540\pi\)
\(548\) −19.2482 + 9.39282i −0.822244 + 0.401241i
\(549\) −0.650115 1.34998i −0.0277462 0.0576156i
\(550\) 0.0231518 + 8.92315i 0.000987197 + 0.380484i
\(551\) −6.01503 + 26.3536i −0.256249 + 1.12270i
\(552\) 1.94846 + 0.428795i 0.0829319 + 0.0182507i
\(553\) −13.2276 + 22.1630i −0.562493 + 0.942466i
\(554\) 9.32650 41.3564i 0.396245 1.75707i
\(555\) −4.95931 10.2981i −0.210511 0.437130i
\(556\) −38.6750 18.3783i −1.64019 0.779413i
\(557\) 26.8701 1.13852 0.569262 0.822156i \(-0.307229\pi\)
0.569262 + 0.822156i \(0.307229\pi\)
\(558\) 0.817346 + 1.01948i 0.0346010 + 0.0431581i
\(559\) −2.09252 + 9.16794i −0.0885043 + 0.387762i
\(560\) 9.65539 6.52498i 0.408015 0.275731i
\(561\) −1.82813 8.00956i −0.0771837 0.338164i
\(562\) 23.8227 30.0323i 1.00490 1.26683i
\(563\) −22.1230 27.7414i −0.932374 1.16916i −0.985347 0.170564i \(-0.945441\pi\)
0.0529726 0.998596i \(-0.483130\pi\)
\(564\) −6.20083 + 3.02590i −0.261102 + 0.127413i
\(565\) −19.3730 + 4.42176i −0.815028 + 0.186025i
\(566\) −19.1599 + 24.1540i −0.805350 + 1.01527i
\(567\) −1.82748 + 1.91320i −0.0767468 + 0.0803468i
\(568\) −7.11601 + 1.68256i −0.298581 + 0.0705988i
\(569\) −8.38463 −0.351502 −0.175751 0.984435i \(-0.556235\pi\)
−0.175751 + 0.984435i \(0.556235\pi\)
\(570\) 5.77616 4.63090i 0.241937 0.193967i
\(571\) 30.4531 + 6.95073i 1.27442 + 0.290879i 0.805625 0.592426i \(-0.201830\pi\)
0.468799 + 0.883305i \(0.344687\pi\)
\(572\) −2.88108 12.3276i −0.120464 0.515443i
\(573\) −5.59486 + 4.46175i −0.233729 + 0.186392i
\(574\) 13.8725 9.21837i 0.579026 0.384767i
\(575\) −2.08872 1.66570i −0.0871056 0.0694644i
\(576\) 5.08468 + 6.17625i 0.211862 + 0.257344i
\(577\) 18.3169 + 14.6073i 0.762544 + 0.608109i 0.925598 0.378508i \(-0.123563\pi\)
−0.163053 + 0.986617i \(0.552134\pi\)
\(578\) −9.33859 4.46742i −0.388434 0.185820i
\(579\) −13.9463 17.4882i −0.579590 0.726783i
\(580\) −9.83045 7.75641i −0.408187 0.322067i
\(581\) −5.89461 43.3616i −0.244550 1.79894i
\(582\) −3.44191 + 7.19489i −0.142672 + 0.298238i
\(583\) 6.62532 13.7576i 0.274393 0.569782i
\(584\) −26.5551 + 21.5173i −1.09886 + 0.890392i
\(585\) 3.76961 + 1.81535i 0.155854 + 0.0750555i
\(586\) 0.0683221 + 26.3326i 0.00282236 + 1.08779i
\(587\) 2.19302 0.0905155 0.0452577 0.998975i \(-0.485589\pi\)
0.0452577 + 0.998975i \(0.485589\pi\)
\(588\) 0.713898 + 13.9818i 0.0294407 + 0.576599i
\(589\) 4.39259 0.180993
\(590\) 0.0492935 + 18.9986i 0.00202938 + 0.782161i
\(591\) 2.74270 + 1.32081i 0.112820 + 0.0543310i
\(592\) 8.81861 40.5733i 0.362443 1.66755i
\(593\) −7.17649 + 14.9021i −0.294703 + 0.611957i −0.994772 0.102118i \(-0.967438\pi\)
0.700069 + 0.714075i \(0.253152\pi\)
\(594\) −1.01670 + 2.12530i −0.0417159 + 0.0872019i
\(595\) 13.4488 5.05467i 0.551346 0.207221i
\(596\) −8.09374 + 10.2580i −0.331533 + 0.420183i
\(597\) 2.20266 + 2.76205i 0.0901488 + 0.113043i
\(598\) 3.41920 + 1.63569i 0.139822 + 0.0668882i
\(599\) 11.8930 + 9.48433i 0.485934 + 0.387519i 0.835585 0.549360i \(-0.185129\pi\)
−0.349652 + 0.936880i \(0.613700\pi\)
\(600\) −2.46500 10.4252i −0.100633 0.425605i
\(601\) 29.3834 + 23.4325i 1.19857 + 0.955830i 0.999707 0.0241966i \(-0.00770277\pi\)
0.198866 + 0.980027i \(0.436274\pi\)
\(602\) 0.801782 9.22542i 0.0326782 0.376000i
\(603\) −2.97350 + 2.37129i −0.121090 + 0.0965664i
\(604\) −8.39573 + 1.96216i −0.341617 + 0.0798392i
\(605\) −8.82952 2.01528i −0.358971 0.0819328i
\(606\) 20.2217 16.2122i 0.821449 0.658578i
\(607\) 47.5785 1.93115 0.965576 0.260122i \(-0.0837626\pi\)
0.965576 + 0.260122i \(0.0837626\pi\)
\(608\) 26.8910 0.348873i 1.09057 0.0141487i
\(609\) 14.0817 5.29255i 0.570620 0.214465i
\(610\) 1.45007 1.82804i 0.0587115 0.0740150i
\(611\) −12.7796 + 2.91687i −0.517009 + 0.118004i
\(612\) 4.32548 + 8.86400i 0.174847 + 0.358306i
\(613\) −11.4718 14.3851i −0.463340 0.581010i 0.494186 0.869356i \(-0.335466\pi\)
−0.957526 + 0.288346i \(0.906895\pi\)
\(614\) 24.3751 30.7287i 0.983701 1.24011i
\(615\) 1.09074 + 4.77886i 0.0439830 + 0.192702i
\(616\) 4.47666 + 11.6351i 0.180370 + 0.468791i
\(617\) 4.05051 17.7465i 0.163068 0.714446i −0.825591 0.564268i \(-0.809158\pi\)
0.988659 0.150177i \(-0.0479845\pi\)
\(618\) −2.29547 2.86316i −0.0923373 0.115173i
\(619\) 24.6790 0.991931 0.495966 0.868342i \(-0.334814\pi\)
0.495966 + 0.868342i \(0.334814\pi\)
\(620\) −0.873350 + 1.83787i −0.0350746 + 0.0738105i
\(621\) −0.306048 0.635515i −0.0122813 0.0255023i
\(622\) −3.53251 + 15.6642i −0.141641 + 0.628076i
\(623\) −1.56964 + 0.213378i −0.0628863 + 0.00854881i
\(624\) 6.73618 + 13.6243i 0.269663 + 0.545408i
\(625\) −1.84302 + 8.07479i −0.0737207 + 0.322992i
\(626\) 0.0722360 + 27.8411i 0.00288713 + 1.11275i
\(627\) 3.43633 + 7.13562i 0.137234 + 0.284969i
\(628\) −7.39082 15.1456i −0.294926 0.604377i
\(629\) 22.2106 46.1207i 0.885594 1.83895i
\(630\) −3.92234 1.26116i −0.156270 0.0502456i
\(631\) 16.2888 + 33.8241i 0.648448 + 1.34652i 0.922946 + 0.384928i \(0.125774\pi\)
−0.274498 + 0.961588i \(0.588512\pi\)
\(632\) −0.214768 27.5914i −0.00854303 1.09753i
\(633\) 14.9354 3.40891i 0.593630 0.135492i
\(634\) 3.15794 + 13.6722i 0.125418 + 0.542994i
\(635\) −8.24141 + 10.3344i −0.327050 + 0.410108i
\(636\) −3.98645 + 17.8933i −0.158073 + 0.709515i
\(637\) −4.72442 + 26.1746i −0.187188 + 1.03707i
\(638\) 10.4515 8.37926i 0.413780 0.331738i
\(639\) 2.02124 + 1.61188i 0.0799590 + 0.0637652i
\(640\) −5.20059 + 11.3206i −0.205572 + 0.447486i
\(641\) 0.789722 + 3.46000i 0.0311921 + 0.136662i 0.988126 0.153643i \(-0.0491005\pi\)
−0.956934 + 0.290305i \(0.906243\pi\)
\(642\) 10.1512 2.34468i 0.400637 0.0925370i
\(643\) 26.1726 12.6041i 1.03215 0.497056i 0.160420 0.987049i \(-0.448715\pi\)
0.871726 + 0.489993i \(0.163001\pi\)
\(644\) −3.55625 1.13328i −0.140136 0.0446573i
\(645\) 2.45533 + 1.18242i 0.0966785 + 0.0465579i
\(646\) 32.3440 + 7.29407i 1.27256 + 0.286981i
\(647\) −23.8971 + 11.5082i −0.939492 + 0.452435i −0.839990 0.542602i \(-0.817439\pi\)
−0.0995017 + 0.995037i \(0.531725\pi\)
\(648\) 0.607902 2.76233i 0.0238806 0.108514i
\(649\) −19.8149 4.52261i −0.777802 0.177528i
\(650\) −0.0528050 20.3520i −0.00207118 0.798272i
\(651\) −1.34767 2.03953i −0.0528192 0.0799355i
\(652\) −18.9933 38.9220i −0.743834 1.52430i
\(653\) 14.5177 6.99134i 0.568120 0.273592i −0.127695 0.991814i \(-0.540758\pi\)
0.695815 + 0.718221i \(0.255043\pi\)
\(654\) −3.06833 + 1.48745i −0.119981 + 0.0581639i
\(655\) 5.95338i 0.232618i
\(656\) −7.55886 + 16.1220i −0.295124 + 0.629460i
\(657\) 11.7810 + 2.68893i 0.459619 + 0.104905i
\(658\) 12.0712 4.57268i 0.470583 0.178261i
\(659\) 32.9547 7.52169i 1.28373 0.293003i 0.474376 0.880322i \(-0.342674\pi\)
0.809356 + 0.587319i \(0.199816\pi\)
\(660\) −3.66878 + 0.0190380i −0.142807 + 0.000741054i
\(661\) 36.2416 28.9017i 1.40963 1.12415i 0.434978 0.900441i \(-0.356756\pi\)
0.974657 0.223705i \(-0.0718152\pi\)
\(662\) 36.3649 + 8.20084i 1.41336 + 0.318735i
\(663\) 4.16962 + 18.2683i 0.161935 + 0.709482i
\(664\) 29.4518 + 36.3474i 1.14295 + 1.41055i
\(665\) −11.5555 + 7.63559i −0.448104 + 0.296095i
\(666\) −13.2094 + 6.40360i −0.511855 + 0.248135i
\(667\) 4.01065i 0.155293i
\(668\) −2.02289 + 9.07979i −0.0782680 + 0.351308i
\(669\) 3.35634 14.7051i 0.129763 0.568531i
\(670\) −5.34275 2.55588i −0.206408 0.0987421i
\(671\) 1.55632 + 1.95157i 0.0600812 + 0.0753394i
\(672\) −8.41227 12.3788i −0.324510 0.477521i
\(673\) 24.5616 30.7993i 0.946781 1.18723i −0.0354161 0.999373i \(-0.511276\pi\)
0.982197 0.187853i \(-0.0601529\pi\)
\(674\) 2.42419 1.17519i 0.0933763 0.0452665i
\(675\) −2.36146 + 2.96117i −0.0908925 + 0.113976i
\(676\) 0.654197 + 2.79919i 0.0251614 + 0.107661i
\(677\) 11.1372 8.88165i 0.428039 0.341349i −0.385655 0.922643i \(-0.626025\pi\)
0.813694 + 0.581294i \(0.197453\pi\)
\(678\) 5.74346 + 24.8662i 0.220576 + 0.954980i
\(679\) 7.64708 12.8128i 0.293468 0.491711i
\(680\) −9.48261 + 12.0826i −0.363641 + 0.463345i
\(681\) 12.5788 + 6.05764i 0.482022 + 0.232129i
\(682\) −1.70542 1.35280i −0.0653037 0.0518014i
\(683\) 12.1241 25.1759i 0.463914 0.963328i −0.529452 0.848340i \(-0.677603\pi\)
0.993367 0.114989i \(-0.0366832\pi\)
\(684\) −5.96676 7.40295i −0.228145 0.283059i
\(685\) 11.7920i 0.450549i
\(686\) 1.07006 26.1697i 0.0408552 0.999165i
\(687\) 1.81677i 0.0693141i
\(688\) 4.38759 + 8.87414i 0.167275 + 0.338323i
\(689\) −15.1111 + 31.3785i −0.575687 + 1.19543i
\(690\) 0.682633 0.860566i 0.0259874 0.0327612i
\(691\) −12.4401 5.99082i −0.473242 0.227901i 0.182032 0.983293i \(-0.441733\pi\)
−0.655274 + 0.755391i \(0.727447\pi\)
\(692\) 4.24367 0.991787i 0.161320 0.0377021i
\(693\) 2.25887 3.78477i 0.0858073 0.143772i
\(694\) −21.2034 + 4.89746i −0.804872 + 0.185905i
\(695\) −18.4319 + 14.6989i −0.699161 + 0.557562i
\(696\) −9.92887 + 12.6512i −0.376353 + 0.479542i
\(697\) −13.6874 + 17.1634i −0.518446 + 0.650111i
\(698\) −6.81601 14.0602i −0.257990 0.532185i
\(699\) −1.22045 + 1.53039i −0.0461615 + 0.0578847i
\(700\) 2.80264 + 19.8445i 0.105930 + 0.750053i
\(701\) 6.81689 + 8.54811i 0.257471 + 0.322858i 0.893720 0.448626i \(-0.148086\pi\)
−0.636249 + 0.771484i \(0.719515\pi\)
\(702\) 2.31891 4.84740i 0.0875216 0.182953i
\(703\) −10.9810 + 48.1110i −0.414157 + 1.81454i
\(704\) −10.5478 8.14625i −0.397536 0.307024i
\(705\) 3.79880i 0.143071i
\(706\) −21.4721 44.2929i −0.808113 1.66699i
\(707\) −40.4546 + 26.7313i −1.52145 + 1.00533i
\(708\) 24.4000 0.126616i 0.917007 0.00475853i
\(709\) 0.256041 + 1.12179i 0.00961582 + 0.0421297i 0.979508 0.201404i \(-0.0645505\pi\)
−0.969892 + 0.243534i \(0.921693\pi\)
\(710\) −0.885661 + 3.92728i −0.0332383 + 0.147388i
\(711\) −7.62703 + 6.08235i −0.286036 + 0.228106i
\(712\) 1.31573 1.06612i 0.0493092 0.0399546i
\(713\) 0.635391 0.145024i 0.0237956 0.00543118i
\(714\) −6.53658 17.2556i −0.244625 0.645773i
\(715\) −6.79537 1.55100i −0.254132 0.0580041i
\(716\) −35.7381 7.96210i −1.33560 0.297558i
\(717\) 16.9667i 0.633632i
\(718\) 0.211190 + 0.435645i 0.00788154 + 0.0162581i
\(719\) −18.7706 + 9.03945i −0.700026 + 0.337115i −0.749817 0.661645i \(-0.769859\pi\)
0.0497914 + 0.998760i \(0.484144\pi\)
\(720\) 4.28374 1.02462i 0.159645 0.0381854i
\(721\) 3.78485 + 5.72790i 0.140955 + 0.213318i
\(722\) −5.09321 + 0.0132148i −0.189550 + 0.000491802i
\(723\) −0.848820 0.193738i −0.0315679 0.00720518i
\(724\) −18.7624 + 15.1225i −0.697299 + 0.562021i
\(725\) 19.4026 9.34378i 0.720593 0.347019i
\(726\) −2.55882 + 11.3466i −0.0949668 + 0.421110i
\(727\) 36.2936 + 17.4781i 1.34605 + 0.648226i 0.961482 0.274869i \(-0.0886345\pi\)
0.384573 + 0.923095i \(0.374349\pi\)
\(728\) −10.2104 26.5375i −0.378424 0.983543i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 4.23492 + 18.3350i 0.156741 + 0.678608i
\(731\) 2.71587 + 11.8990i 0.100450 + 0.440101i
\(732\) −2.35260 1.85624i −0.0869545 0.0686088i
\(733\) −34.6408 27.6251i −1.27949 1.02036i −0.998153 0.0607450i \(-0.980652\pi\)
−0.281332 0.959610i \(-0.590776\pi\)
\(734\) −17.4006 21.7039i −0.642267 0.801104i
\(735\) 7.09058 + 3.02273i 0.261540 + 0.111495i
\(736\) 3.87828 0.938286i 0.142955 0.0345857i
\(737\) 3.95038 4.95361i 0.145514 0.182469i
\(738\) 6.13390 1.41678i 0.225792 0.0521523i
\(739\) −20.4028 + 4.65680i −0.750528 + 0.171303i −0.580640 0.814160i \(-0.697198\pi\)
−0.169888 + 0.985463i \(0.554340\pi\)
\(740\) −17.9465 14.1601i −0.659725 0.520535i
\(741\) −7.83763 16.2750i −0.287923 0.597877i
\(742\) 10.4979 32.6498i 0.385392 1.19861i
\(743\) −6.46657 + 13.4280i −0.237236 + 0.492625i −0.985264 0.171042i \(-0.945287\pi\)
0.748028 + 0.663667i \(0.231001\pi\)
\(744\) 2.36330 + 1.11553i 0.0866428 + 0.0408972i
\(745\) 3.12139 + 6.48164i 0.114359 + 0.237469i
\(746\) 26.6269 0.0690857i 0.974881 0.00252941i
\(747\) 3.68047 16.1252i 0.134661 0.589990i
\(748\) −10.3111 12.7930i −0.377012 0.467759i
\(749\) −19.3135 + 2.62550i −0.705702 + 0.0959337i
\(750\) −13.3491 3.01042i −0.487440 0.109925i
\(751\) −22.2933 46.2926i −0.813495 1.68924i −0.720375 0.693585i \(-0.756030\pi\)
−0.0931204 0.995655i \(-0.529684\pi\)
\(752\) −8.49140 + 10.8776i −0.309650 + 0.396664i
\(753\) 25.7815 0.939532
\(754\) −23.8380 + 19.1115i −0.868127 + 0.696001i
\(755\) −1.05631 + 4.62800i −0.0384430 + 0.168430i
\(756\) −1.60664 + 5.04170i −0.0584331 + 0.183365i
\(757\) 10.3695 + 45.4317i 0.376885 + 1.65124i 0.706935 + 0.707279i \(0.250078\pi\)
−0.330049 + 0.943964i \(0.607065\pi\)
\(758\) −20.2207 16.0398i −0.734449 0.582593i
\(759\) 0.732654 + 0.918719i 0.0265937 + 0.0333474i
\(760\) 6.32034 13.3899i 0.229263 0.485704i
\(761\) 33.2041 7.57862i 1.20365 0.274725i 0.426761 0.904365i \(-0.359655\pi\)
0.776887 + 0.629640i \(0.216798\pi\)
\(762\) 13.3000 + 10.5501i 0.481809 + 0.382189i
\(763\) 5.97143 2.24434i 0.216180 0.0812505i
\(764\) −6.14283 + 12.9269i −0.222240 + 0.467679i
\(765\) 5.43033 0.196334
\(766\) 14.6104 + 18.2237i 0.527895 + 0.658448i
\(767\) 45.1940 + 10.3152i 1.63186 + 0.372461i
\(768\) 14.5565 + 6.64145i 0.525262 + 0.239653i
\(769\) −39.5015 + 31.5014i −1.42446 + 1.13597i −0.455068 + 0.890457i \(0.650385\pi\)
−0.969393 + 0.245513i \(0.921044\pi\)
\(770\) 6.83797 + 0.594289i 0.246423 + 0.0214167i
\(771\) 0.961988 + 0.767160i 0.0346451 + 0.0276286i
\(772\) −40.4063