Properties

Label 165.2.r.a.29.5
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.5
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.875212 + 1.20463i) q^{2} +(-0.577976 - 1.63277i) q^{3} +(-0.0670941 - 0.206494i) q^{4} +(-2.16710 - 0.551056i) q^{5} +(2.47273 + 0.732776i) q^{6} +(-0.259482 - 0.798604i) q^{7} +(-2.52478 - 0.820350i) q^{8} +(-2.33189 + 1.88741i) q^{9} +O(q^{10})\) \(q+(-0.875212 + 1.20463i) q^{2} +(-0.577976 - 1.63277i) q^{3} +(-0.0670941 - 0.206494i) q^{4} +(-2.16710 - 0.551056i) q^{5} +(2.47273 + 0.732776i) q^{6} +(-0.259482 - 0.798604i) q^{7} +(-2.52478 - 0.820350i) q^{8} +(-2.33189 + 1.88741i) q^{9} +(2.56049 - 2.12826i) q^{10} +(-2.11726 - 2.55289i) q^{11} +(-0.298379 + 0.228898i) q^{12} +(-1.96978 - 1.43113i) q^{13} +(1.18912 + 0.386369i) q^{14} +(0.352786 + 3.85688i) q^{15} +(3.54924 - 2.57867i) q^{16} +(-0.182555 - 0.251266i) q^{17} +(-0.232725 - 4.46093i) q^{18} +(-5.72886 - 1.86142i) q^{19} +(0.0316098 + 0.484467i) q^{20} +(-1.15396 + 0.885250i) q^{21} +(4.92832 - 0.316183i) q^{22} +5.74665 q^{23} +(0.119818 + 4.59653i) q^{24} +(4.39267 + 2.38839i) q^{25} +(3.44794 - 1.12031i) q^{26} +(4.42948 + 2.71656i) q^{27} +(-0.147498 + 0.107163i) q^{28} +(0.755560 + 2.32538i) q^{29} +(-4.95486 - 2.95062i) q^{30} +(-2.24512 - 1.63117i) q^{31} +1.22298i q^{32} +(-2.94456 + 4.93250i) q^{33} +0.462456 q^{34} +(0.122249 + 1.87365i) q^{35} +(0.546194 + 0.354887i) q^{36} +(-8.50603 + 2.76378i) q^{37} +(7.25629 - 5.27200i) q^{38} +(-1.19822 + 4.04335i) q^{39} +(5.01939 + 3.16908i) q^{40} +(-2.71666 + 8.36103i) q^{41} +(-0.0564319 - 2.16488i) q^{42} +3.32121 q^{43} +(-0.385101 + 0.608485i) q^{44} +(6.09351 - 2.80521i) q^{45} +(-5.02954 + 6.92257i) q^{46} +(0.122317 - 0.376453i) q^{47} +(-6.26176 - 4.30468i) q^{48} +(5.09268 - 3.70005i) q^{49} +(-6.72164 + 3.20118i) q^{50} +(-0.304747 + 0.443297i) q^{51} +(-0.163359 + 0.502768i) q^{52} +(-6.06755 - 4.40833i) q^{53} +(-7.14918 + 2.95830i) q^{54} +(3.18153 + 6.69910i) q^{55} +2.22916i q^{56} +(0.271873 + 10.4298i) q^{57} +(-3.46248 - 1.12503i) q^{58} +(10.5430 - 3.42562i) q^{59} +(0.772754 - 0.331622i) q^{60} +(-4.35961 - 6.00049i) q^{61} +(3.92991 - 1.27691i) q^{62} +(2.11237 + 1.37251i) q^{63} +(5.62525 + 4.08698i) q^{64} +(3.48008 + 4.18686i) q^{65} +(-3.36471 - 7.86408i) q^{66} +1.70411i q^{67} +(-0.0396366 + 0.0545551i) q^{68} +(-3.32143 - 9.38297i) q^{69} +(-2.36404 - 1.49257i) q^{70} +(0.389936 + 0.536701i) q^{71} +(7.43583 - 2.85232i) q^{72} +(-4.98888 - 15.3542i) q^{73} +(4.11526 - 12.6655i) q^{74} +(1.36084 - 8.55267i) q^{75} +1.30787i q^{76} +(-1.48936 + 2.35328i) q^{77} +(-3.82203 - 4.98220i) q^{78} +(1.31923 - 1.81576i) q^{79} +(-9.11256 + 3.63242i) q^{80} +(1.87539 - 8.80244i) q^{81} +(-7.69425 - 10.5902i) q^{82} +(-0.260754 - 0.358897i) q^{83} +(0.260223 + 0.178892i) q^{84} +(0.257155 + 0.645118i) q^{85} +(-2.90677 + 4.00082i) q^{86} +(3.36011 - 2.57767i) q^{87} +(3.25134 + 8.18236i) q^{88} -16.7081i q^{89} +(-1.95389 + 9.79555i) q^{90} +(-0.631782 + 1.94442i) q^{91} +(-0.385566 - 1.18665i) q^{92} +(-1.36571 + 4.60855i) q^{93} +(0.346431 + 0.476822i) q^{94} +(11.3893 + 7.19082i) q^{95} +(1.99684 - 0.706853i) q^{96} +(-1.67704 + 2.30824i) q^{97} +9.37311i q^{98} +(9.75554 + 1.95692i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.875212 + 1.20463i −0.618869 + 0.851799i −0.997270 0.0738422i \(-0.976474\pi\)
0.378401 + 0.925642i \(0.376474\pi\)
\(3\) −0.577976 1.63277i −0.333695 0.942681i
\(4\) −0.0670941 0.206494i −0.0335470 0.103247i
\(5\) −2.16710 0.551056i −0.969158 0.246440i
\(6\) 2.47273 + 0.732776i 1.00949 + 0.299155i
\(7\) −0.259482 0.798604i −0.0980751 0.301844i 0.889968 0.456023i \(-0.150727\pi\)
−0.988043 + 0.154179i \(0.950727\pi\)
\(8\) −2.52478 0.820350i −0.892643 0.290037i
\(9\) −2.33189 + 1.88741i −0.777296 + 0.629136i
\(10\) 2.56049 2.12826i 0.809699 0.673014i
\(11\) −2.11726 2.55289i −0.638376 0.769724i
\(12\) −0.298379 + 0.228898i −0.0861347 + 0.0660772i
\(13\) −1.96978 1.43113i −0.546318 0.396923i 0.280108 0.959968i \(-0.409630\pi\)
−0.826426 + 0.563045i \(0.809630\pi\)
\(14\) 1.18912 + 0.386369i 0.317806 + 0.103261i
\(15\) 0.352786 + 3.85688i 0.0910888 + 0.995843i
\(16\) 3.54924 2.57867i 0.887310 0.644668i
\(17\) −0.182555 0.251266i −0.0442762 0.0609410i 0.786305 0.617839i \(-0.211992\pi\)
−0.830581 + 0.556898i \(0.811992\pi\)
\(18\) −0.232725 4.46093i −0.0548537 1.05145i
\(19\) −5.72886 1.86142i −1.31429 0.427039i −0.433761 0.901028i \(-0.642814\pi\)
−0.880531 + 0.473989i \(0.842814\pi\)
\(20\) 0.0316098 + 0.484467i 0.00706816 + 0.108330i
\(21\) −1.15396 + 0.885250i −0.251816 + 0.193177i
\(22\) 4.92832 0.316183i 1.05072 0.0674105i
\(23\) 5.74665 1.19826 0.599130 0.800652i \(-0.295513\pi\)
0.599130 + 0.800652i \(0.295513\pi\)
\(24\) 0.119818 + 4.59653i 0.0244577 + 0.938262i
\(25\) 4.39267 + 2.38839i 0.878535 + 0.477678i
\(26\) 3.44794 1.12031i 0.676198 0.219710i
\(27\) 4.42948 + 2.71656i 0.852454 + 0.522802i
\(28\) −0.147498 + 0.107163i −0.0278744 + 0.0202519i
\(29\) 0.755560 + 2.32538i 0.140304 + 0.431811i 0.996377 0.0850431i \(-0.0271028\pi\)
−0.856073 + 0.516855i \(0.827103\pi\)
\(30\) −4.95486 2.95062i −0.904630 0.538706i
\(31\) −2.24512 1.63117i −0.403235 0.292968i 0.367622 0.929975i \(-0.380172\pi\)
−0.770857 + 0.637008i \(0.780172\pi\)
\(32\) 1.22298i 0.216194i
\(33\) −2.94456 + 4.93250i −0.512582 + 0.858638i
\(34\) 0.462456 0.0793106
\(35\) 0.122249 + 1.87365i 0.0206638 + 0.316704i
\(36\) 0.546194 + 0.354887i 0.0910324 + 0.0591479i
\(37\) −8.50603 + 2.76378i −1.39838 + 0.454362i −0.908667 0.417521i \(-0.862899\pi\)
−0.489715 + 0.871883i \(0.662899\pi\)
\(38\) 7.25629 5.27200i 1.17713 0.855232i
\(39\) −1.19822 + 4.04335i −0.191868 + 0.647454i
\(40\) 5.01939 + 3.16908i 0.793636 + 0.501075i
\(41\) −2.71666 + 8.36103i −0.424271 + 1.30577i 0.479419 + 0.877586i \(0.340847\pi\)
−0.903690 + 0.428187i \(0.859153\pi\)
\(42\) −0.0564319 2.16488i −0.00870763 0.334048i
\(43\) 3.32121 0.506480 0.253240 0.967403i \(-0.418504\pi\)
0.253240 + 0.967403i \(0.418504\pi\)
\(44\) −0.385101 + 0.608485i −0.0580562 + 0.0917325i
\(45\) 6.09351 2.80521i 0.908366 0.418175i
\(46\) −5.02954 + 6.92257i −0.741565 + 1.02068i
\(47\) 0.122317 0.376453i 0.0178417 0.0549113i −0.941739 0.336344i \(-0.890810\pi\)
0.959581 + 0.281433i \(0.0908096\pi\)
\(48\) −6.26176 4.30468i −0.903807 0.621328i
\(49\) 5.09268 3.70005i 0.727526 0.528578i
\(50\) −6.72164 + 3.20118i −0.950584 + 0.452715i
\(51\) −0.304747 + 0.443297i −0.0426732 + 0.0620740i
\(52\) −0.163359 + 0.502768i −0.0226538 + 0.0697213i
\(53\) −6.06755 4.40833i −0.833442 0.605531i 0.0870888 0.996201i \(-0.472244\pi\)
−0.920531 + 0.390669i \(0.872244\pi\)
\(54\) −7.14918 + 2.95830i −0.972880 + 0.402574i
\(55\) 3.18153 + 6.69910i 0.428997 + 0.903306i
\(56\) 2.22916i 0.297885i
\(57\) 0.271873 + 10.4298i 0.0360105 + 1.38146i
\(58\) −3.46248 1.12503i −0.454646 0.147724i
\(59\) 10.5430 3.42562i 1.37258 0.445978i 0.472357 0.881407i \(-0.343403\pi\)
0.900223 + 0.435429i \(0.143403\pi\)
\(60\) 0.772754 0.331622i 0.0997622 0.0428122i
\(61\) −4.35961 6.00049i −0.558191 0.768284i 0.432904 0.901440i \(-0.357489\pi\)
−0.991095 + 0.133156i \(0.957489\pi\)
\(62\) 3.92991 1.27691i 0.499099 0.162167i
\(63\) 2.11237 + 1.37251i 0.266134 + 0.172920i
\(64\) 5.62525 + 4.08698i 0.703156 + 0.510872i
\(65\) 3.48008 + 4.18686i 0.431650 + 0.519316i
\(66\) −3.36471 7.86408i −0.414167 0.968001i
\(67\) 1.70411i 0.208190i 0.994567 + 0.104095i \(0.0331947\pi\)
−0.994567 + 0.104095i \(0.966805\pi\)
\(68\) −0.0396366 + 0.0545551i −0.00480665 + 0.00661578i
\(69\) −3.32143 9.38297i −0.399853 1.12958i
\(70\) −2.36404 1.49257i −0.282557 0.178397i
\(71\) 0.389936 + 0.536701i 0.0462769 + 0.0636947i 0.831528 0.555482i \(-0.187466\pi\)
−0.785251 + 0.619177i \(0.787466\pi\)
\(72\) 7.43583 2.85232i 0.876320 0.336149i
\(73\) −4.98888 15.3542i −0.583905 1.79707i −0.603625 0.797269i \(-0.706277\pi\)
0.0197201 0.999806i \(-0.493723\pi\)
\(74\) 4.11526 12.6655i 0.478390 1.47233i
\(75\) 1.36084 8.55267i 0.157136 0.987577i
\(76\) 1.30787i 0.150023i
\(77\) −1.48936 + 2.35328i −0.169728 + 0.268181i
\(78\) −3.82203 4.98220i −0.432760 0.564123i
\(79\) 1.31923 1.81576i 0.148425 0.204289i −0.728330 0.685226i \(-0.759703\pi\)
0.876755 + 0.480937i \(0.159703\pi\)
\(80\) −9.11256 + 3.63242i −1.01882 + 0.406117i
\(81\) 1.87539 8.80244i 0.208377 0.978049i
\(82\) −7.69425 10.5902i −0.849688 1.16950i
\(83\) −0.260754 0.358897i −0.0286214 0.0393940i 0.794466 0.607308i \(-0.207751\pi\)
−0.823088 + 0.567914i \(0.807751\pi\)
\(84\) 0.260223 + 0.178892i 0.0283927 + 0.0195187i
\(85\) 0.257155 + 0.645118i 0.0278924 + 0.0699729i
\(86\) −2.90677 + 4.00082i −0.313445 + 0.431420i
\(87\) 3.36011 2.57767i 0.360242 0.276355i
\(88\) 3.25134 + 8.18236i 0.346594 + 0.872242i
\(89\) 16.7081i 1.77105i −0.464588 0.885527i \(-0.653798\pi\)
0.464588 0.885527i \(-0.346202\pi\)
\(90\) −1.95389 + 9.79555i −0.205958 + 1.03254i
\(91\) −0.631782 + 1.94442i −0.0662287 + 0.203831i
\(92\) −0.385566 1.18665i −0.0401981 0.123717i
\(93\) −1.36571 + 4.60855i −0.141617 + 0.477884i
\(94\) 0.346431 + 0.476822i 0.0357317 + 0.0491804i
\(95\) 11.3893 + 7.19082i 1.16852 + 0.737762i
\(96\) 1.99684 0.706853i 0.203802 0.0721429i
\(97\) −1.67704 + 2.30824i −0.170277 + 0.234366i −0.885624 0.464403i \(-0.846269\pi\)
0.715347 + 0.698770i \(0.246269\pi\)
\(98\) 9.37311i 0.946827i
\(99\) 9.75554 + 1.95692i 0.980468 + 0.196678i
\(100\) 0.198467 1.06731i 0.0198467 0.106731i
\(101\) −11.6689 8.47798i −1.16110 0.843591i −0.171186 0.985239i \(-0.554760\pi\)
−0.989917 + 0.141648i \(0.954760\pi\)
\(102\) −0.267289 0.755086i −0.0264655 0.0747646i
\(103\) 4.42164 1.43668i 0.435677 0.141560i −0.0829633 0.996553i \(-0.526438\pi\)
0.518640 + 0.854993i \(0.326438\pi\)
\(104\) 3.79922 + 5.22918i 0.372544 + 0.512763i
\(105\) 2.98858 1.28253i 0.291656 0.125162i
\(106\) 10.6208 3.45090i 1.03158 0.335181i
\(107\) −15.7841 5.12856i −1.52591 0.495797i −0.578460 0.815711i \(-0.696346\pi\)
−0.947447 + 0.319914i \(0.896346\pi\)
\(108\) 0.263763 1.09693i 0.0253806 0.105552i
\(109\) 17.4265i 1.66915i 0.550893 + 0.834576i \(0.314287\pi\)
−0.550893 + 0.834576i \(0.685713\pi\)
\(110\) −10.8544 2.03058i −1.03493 0.193608i
\(111\) 9.42890 + 12.2910i 0.894952 + 1.16661i
\(112\) −2.98030 2.16532i −0.281612 0.204603i
\(113\) −0.0373195 + 0.114858i −0.00351073 + 0.0108049i −0.952797 0.303610i \(-0.901808\pi\)
0.949286 + 0.314414i \(0.101808\pi\)
\(114\) −12.8019 8.80077i −1.19901 0.824268i
\(115\) −12.4536 3.16673i −1.16130 0.295299i
\(116\) 0.429483 0.312038i 0.0398765 0.0289720i
\(117\) 7.29441 0.380546i 0.674369 0.0351815i
\(118\) −5.10076 + 15.6985i −0.469563 + 1.44517i
\(119\) −0.153292 + 0.210989i −0.0140523 + 0.0193413i
\(120\) 2.27329 10.0272i 0.207522 0.915351i
\(121\) −2.03446 + 10.8102i −0.184951 + 0.982748i
\(122\) 11.0439 0.999871
\(123\) 15.2218 0.396787i 1.37250 0.0357771i
\(124\) −0.186194 + 0.573046i −0.0167207 + 0.0514611i
\(125\) −8.20324 7.59650i −0.733720 0.679452i
\(126\) −3.50213 + 1.34339i −0.311995 + 0.119679i
\(127\) −4.49454 + 3.26548i −0.398826 + 0.289764i −0.769063 0.639173i \(-0.779277\pi\)
0.370237 + 0.928937i \(0.379277\pi\)
\(128\) −12.1728 + 3.95519i −1.07593 + 0.349592i
\(129\) −1.91958 5.42278i −0.169010 0.477450i
\(130\) −8.08940 + 0.527805i −0.709488 + 0.0462916i
\(131\) −2.08974 −0.182582 −0.0912908 0.995824i \(-0.529099\pi\)
−0.0912908 + 0.995824i \(0.529099\pi\)
\(132\) 1.21610 + 0.277093i 0.105848 + 0.0241178i
\(133\) 5.05810i 0.438593i
\(134\) −2.05282 1.49146i −0.177336 0.128842i
\(135\) −8.10216 8.32796i −0.697323 0.716757i
\(136\) 0.254786 + 0.784150i 0.0218477 + 0.0672403i
\(137\) −8.15234 + 5.92302i −0.696502 + 0.506038i −0.878791 0.477207i \(-0.841649\pi\)
0.182289 + 0.983245i \(0.441649\pi\)
\(138\) 14.2099 + 4.21101i 1.20963 + 0.358465i
\(139\) 0.794812 0.258250i 0.0674151 0.0219045i −0.275115 0.961411i \(-0.588716\pi\)
0.342530 + 0.939507i \(0.388716\pi\)
\(140\) 0.378695 0.150954i 0.0320056 0.0127580i
\(141\) −0.685357 + 0.0178652i −0.0577175 + 0.00150452i
\(142\) −0.987801 −0.0828944
\(143\) 0.517016 + 8.05867i 0.0432350 + 0.673900i
\(144\) −3.40942 + 12.7120i −0.284118 + 1.05934i
\(145\) −0.355964 5.45569i −0.0295612 0.453070i
\(146\) 22.8624 + 7.42845i 1.89211 + 0.614783i
\(147\) −8.98479 6.17664i −0.741053 0.509441i
\(148\) 1.14141 + 1.57101i 0.0938232 + 0.129136i
\(149\) −2.06392 + 1.49953i −0.169083 + 0.122846i −0.669109 0.743165i \(-0.733324\pi\)
0.500026 + 0.866011i \(0.333324\pi\)
\(150\) 9.11175 + 9.12470i 0.743971 + 0.745029i
\(151\) 6.96223 + 2.26217i 0.566578 + 0.184092i 0.578279 0.815839i \(-0.303725\pi\)
−0.0117006 + 0.999932i \(0.503725\pi\)
\(152\) 12.9371 + 9.39934i 1.04934 + 0.762387i
\(153\) 0.899940 + 0.241367i 0.0727558 + 0.0195134i
\(154\) −1.53132 3.85374i −0.123397 0.310543i
\(155\) 3.96654 + 4.77211i 0.318600 + 0.383305i
\(156\) 0.915322 0.0238597i 0.0732844 0.00191031i
\(157\) 5.49526 + 1.78552i 0.438570 + 0.142500i 0.519976 0.854181i \(-0.325941\pi\)
−0.0814060 + 0.996681i \(0.525941\pi\)
\(158\) 1.03271 + 3.17835i 0.0821580 + 0.252856i
\(159\) −3.69090 + 12.4548i −0.292708 + 0.987733i
\(160\) 0.673930 2.65032i 0.0532788 0.209526i
\(161\) −1.49115 4.58930i −0.117519 0.361688i
\(162\) 8.96228 + 9.96314i 0.704144 + 0.782779i
\(163\) 8.84432 12.1732i 0.692741 0.953476i −0.307258 0.951626i \(-0.599411\pi\)
0.999998 0.00184945i \(-0.000588699\pi\)
\(164\) 1.90878 0.149050
\(165\) 9.09925 9.06663i 0.708375 0.705836i
\(166\) 0.660551 0.0512687
\(167\) 10.7740 14.8292i 0.833718 1.14751i −0.153501 0.988148i \(-0.549055\pi\)
0.987220 0.159366i \(-0.0509451\pi\)
\(168\) 3.63972 1.28840i 0.280810 0.0994025i
\(169\) −2.18532 6.72574i −0.168102 0.517364i
\(170\) −1.00219 0.254840i −0.0768645 0.0195453i
\(171\) 16.8723 6.47208i 1.29026 0.494932i
\(172\) −0.222834 0.685812i −0.0169909 0.0522927i
\(173\) 4.64092 + 1.50793i 0.352843 + 0.114646i 0.480075 0.877227i \(-0.340609\pi\)
−0.127232 + 0.991873i \(0.540609\pi\)
\(174\) 0.164318 + 6.30369i 0.0124569 + 0.477881i
\(175\) 0.767559 4.12775i 0.0580220 0.312029i
\(176\) −14.0977 3.60110i −1.06265 0.271443i
\(177\) −11.6869 15.2344i −0.878438 1.14508i
\(178\) 20.1270 + 14.6231i 1.50858 + 1.09605i
\(179\) 13.7067 + 4.45358i 1.02449 + 0.332876i 0.772608 0.634883i \(-0.218952\pi\)
0.251878 + 0.967759i \(0.418952\pi\)
\(180\) −0.988097 1.07006i −0.0736484 0.0797577i
\(181\) −10.9139 + 7.92938i −0.811220 + 0.589386i −0.914184 0.405299i \(-0.867167\pi\)
0.102964 + 0.994685i \(0.467167\pi\)
\(182\) −1.78936 2.46284i −0.132636 0.182558i
\(183\) −7.27768 + 10.5864i −0.537981 + 0.782569i
\(184\) −14.5090 4.71426i −1.06962 0.347540i
\(185\) 19.9564 1.30209i 1.46723 0.0957314i
\(186\) −4.35629 5.67863i −0.319419 0.416377i
\(187\) −0.254937 + 0.998038i −0.0186429 + 0.0729837i
\(188\) −0.0859420 −0.00626797
\(189\) 1.02009 4.24230i 0.0742004 0.308582i
\(190\) −18.6303 + 7.42635i −1.35158 + 0.538764i
\(191\) −4.72843 + 1.53636i −0.342137 + 0.111167i −0.475045 0.879961i \(-0.657568\pi\)
0.132908 + 0.991128i \(0.457568\pi\)
\(192\) 3.42185 11.5469i 0.246950 0.833327i
\(193\) −10.7665 + 7.82230i −0.774988 + 0.563062i −0.903471 0.428650i \(-0.858989\pi\)
0.128483 + 0.991712i \(0.458989\pi\)
\(194\) −1.31281 4.04040i −0.0942540 0.290084i
\(195\) 4.82478 8.10208i 0.345509 0.580202i
\(196\) −1.10573 0.803358i −0.0789805 0.0573827i
\(197\) 0.0885134i 0.00630632i −0.999995 0.00315316i \(-0.998996\pi\)
0.999995 0.00315316i \(-0.00100368\pi\)
\(198\) −10.8955 + 10.0391i −0.774311 + 0.713444i
\(199\) −25.7489 −1.82529 −0.912645 0.408753i \(-0.865964\pi\)
−0.912645 + 0.408753i \(0.865964\pi\)
\(200\) −9.13120 9.63368i −0.645674 0.681204i
\(201\) 2.78242 0.984936i 0.196257 0.0694720i
\(202\) 20.4256 6.63668i 1.43714 0.466955i
\(203\) 1.66100 1.20679i 0.116579 0.0846999i
\(204\) 0.111985 + 0.0331860i 0.00784052 + 0.00232348i
\(205\) 10.4947 16.6222i 0.732980 1.16094i
\(206\) −2.13921 + 6.58382i −0.149046 + 0.458716i
\(207\) −13.4005 + 10.8463i −0.931402 + 0.753868i
\(208\) −10.6816 −0.740637
\(209\) 7.37747 + 18.5662i 0.510310 + 1.28425i
\(210\) −1.07068 + 4.72261i −0.0738836 + 0.325891i
\(211\) 13.8532 19.0672i 0.953691 1.31264i 0.00382262 0.999993i \(-0.498783\pi\)
0.949868 0.312650i \(-0.101217\pi\)
\(212\) −0.503199 + 1.54869i −0.0345599 + 0.106364i
\(213\) 0.650936 0.946877i 0.0446014 0.0648789i
\(214\) 19.9924 14.5254i 1.36666 0.992933i
\(215\) −7.19741 1.83018i −0.490860 0.124817i
\(216\) −8.95492 10.4924i −0.609305 0.713920i
\(217\) −0.720094 + 2.21622i −0.0488832 + 0.150447i
\(218\) −20.9924 15.2518i −1.42178 1.03299i
\(219\) −22.1865 + 17.0201i −1.49922 + 1.15011i
\(220\) 1.16986 1.10644i 0.0788722 0.0745959i
\(221\) 0.756198i 0.0508674i
\(222\) −23.0584 + 0.601062i −1.54758 + 0.0403407i
\(223\) 19.2109 + 6.24199i 1.28646 + 0.417995i 0.870849 0.491550i \(-0.163570\pi\)
0.415606 + 0.909545i \(0.363570\pi\)
\(224\) 0.976676 0.317341i 0.0652569 0.0212033i
\(225\) −14.7511 + 2.72130i −0.983406 + 0.181420i
\(226\) −0.105698 0.145481i −0.00703093 0.00967725i
\(227\) −0.613801 + 0.199436i −0.0407394 + 0.0132370i −0.329316 0.944220i \(-0.606818\pi\)
0.288576 + 0.957457i \(0.406818\pi\)
\(228\) 2.13545 0.755917i 0.141424 0.0500618i
\(229\) 14.9958 + 10.8951i 0.990949 + 0.719966i 0.960129 0.279559i \(-0.0901881\pi\)
0.0308200 + 0.999525i \(0.490188\pi\)
\(230\) 14.7143 12.2304i 0.970230 0.806446i
\(231\) 4.70318 + 1.07164i 0.309446 + 0.0705087i
\(232\) 6.49088i 0.426147i
\(233\) 8.11799 11.1735i 0.531827 0.731998i −0.455580 0.890195i \(-0.650568\pi\)
0.987408 + 0.158197i \(0.0505681\pi\)
\(234\) −5.92574 + 9.12010i −0.387378 + 0.596200i
\(235\) −0.472520 + 0.748408i −0.0308238 + 0.0488208i
\(236\) −1.41474 1.94723i −0.0920920 0.126754i
\(237\) −3.72721 1.10453i −0.242108 0.0717470i
\(238\) −0.119999 0.369320i −0.00777840 0.0239394i
\(239\) −2.85846 + 8.79745i −0.184899 + 0.569059i −0.999947 0.0103340i \(-0.996711\pi\)
0.815048 + 0.579393i \(0.196711\pi\)
\(240\) 11.1978 + 12.7793i 0.722812 + 0.824899i
\(241\) 10.2810i 0.662260i −0.943585 0.331130i \(-0.892570\pi\)
0.943585 0.331130i \(-0.107430\pi\)
\(242\) −11.2417 11.9120i −0.722644 0.765733i
\(243\) −15.4563 + 2.02552i −0.991522 + 0.129937i
\(244\) −0.946563 + 1.30283i −0.0605975 + 0.0834053i
\(245\) −13.0753 + 5.21204i −0.835350 + 0.332985i
\(246\) −12.8443 + 18.6839i −0.818925 + 1.19124i
\(247\) 8.62065 + 11.8653i 0.548519 + 0.754972i
\(248\) 4.33029 + 5.96013i 0.274974 + 0.378469i
\(249\) −0.435287 + 0.633185i −0.0275852 + 0.0401265i
\(250\) 16.3305 3.23329i 1.03283 0.204491i
\(251\) 1.70243 2.34320i 0.107456 0.147901i −0.751902 0.659275i \(-0.770863\pi\)
0.859358 + 0.511374i \(0.170863\pi\)
\(252\) 0.141687 0.528280i 0.00892543 0.0332785i
\(253\) −12.1671 14.6706i −0.764941 0.922330i
\(254\) 8.27223i 0.519046i
\(255\) 0.904701 0.792738i 0.0566546 0.0496432i
\(256\) 1.59197 4.89957i 0.0994979 0.306223i
\(257\) 3.03436 + 9.33880i 0.189278 + 0.582538i 0.999996 0.00289901i \(-0.000922784\pi\)
−0.810718 + 0.585437i \(0.800923\pi\)
\(258\) 8.21247 + 2.43371i 0.511286 + 0.151516i
\(259\) 4.41433 + 6.07580i 0.274293 + 0.377532i
\(260\) 0.631069 0.999529i 0.0391373 0.0619882i
\(261\) −6.15081 3.99646i −0.380726 0.247375i
\(262\) 1.82897 2.51736i 0.112994 0.155523i
\(263\) 26.6343i 1.64234i 0.570681 + 0.821172i \(0.306679\pi\)
−0.570681 + 0.821172i \(0.693321\pi\)
\(264\) 11.4807 10.0379i 0.706590 0.617790i
\(265\) 10.7198 + 12.8969i 0.658510 + 0.792249i
\(266\) −6.09312 4.42691i −0.373593 0.271431i
\(267\) −27.2805 + 9.65688i −1.66954 + 0.590992i
\(268\) 0.351889 0.114336i 0.0214951 0.00698417i
\(269\) 0.0552221 + 0.0760067i 0.00336695 + 0.00463421i 0.810697 0.585466i \(-0.199088\pi\)
−0.807330 + 0.590100i \(0.799088\pi\)
\(270\) 17.1232 2.47134i 1.04208 0.150401i
\(271\) −15.6499 + 5.08497i −0.950666 + 0.308890i −0.742986 0.669307i \(-0.766591\pi\)
−0.207680 + 0.978197i \(0.566591\pi\)
\(272\) −1.29587 0.421052i −0.0785734 0.0255300i
\(273\) 3.53995 0.0922760i 0.214248 0.00558480i
\(274\) 15.0044i 0.906451i
\(275\) −3.20312 16.2708i −0.193155 0.981168i
\(276\) −1.71468 + 1.31540i −0.103212 + 0.0791777i
\(277\) −1.04104 0.756358i −0.0625498 0.0454451i 0.556071 0.831135i \(-0.312308\pi\)
−0.618621 + 0.785690i \(0.712308\pi\)
\(278\) −0.384534 + 1.18347i −0.0230628 + 0.0709801i
\(279\) 8.31405 0.433740i 0.497749 0.0259673i
\(280\) 1.22839 4.83083i 0.0734106 0.288697i
\(281\) 9.81270 7.12934i 0.585376 0.425301i −0.255282 0.966867i \(-0.582168\pi\)
0.840658 + 0.541566i \(0.182168\pi\)
\(282\) 0.578312 0.841235i 0.0344380 0.0500948i
\(283\) 6.04941 18.6182i 0.359600 1.10673i −0.593694 0.804691i \(-0.702331\pi\)
0.953294 0.302044i \(-0.0976689\pi\)
\(284\) 0.0846633 0.116529i 0.00502384 0.00691472i
\(285\) 5.15822 22.7522i 0.305547 1.34773i
\(286\) −10.1602 6.43024i −0.600785 0.380228i
\(287\) 7.38208 0.435750
\(288\) −2.30826 2.85185i −0.136015 0.168047i
\(289\) 5.22348 16.0762i 0.307264 0.945660i
\(290\) 6.88361 + 4.34608i 0.404219 + 0.255211i
\(291\) 4.73812 + 1.40411i 0.277753 + 0.0823102i
\(292\) −2.83583 + 2.06035i −0.165954 + 0.120573i
\(293\) −8.83686 + 2.87127i −0.516255 + 0.167741i −0.555545 0.831486i \(-0.687490\pi\)
0.0392900 + 0.999228i \(0.487490\pi\)
\(294\) 15.3041 5.41743i 0.892556 0.315951i
\(295\) −24.7355 + 1.61390i −1.44015 + 0.0939650i
\(296\) 23.7431 1.38004
\(297\) −2.44327 17.0596i −0.141773 0.989899i
\(298\) 3.79866i 0.220051i
\(299\) −11.3196 8.22419i −0.654631 0.475617i
\(300\) −1.85738 + 0.292828i −0.107236 + 0.0169064i
\(301\) −0.861796 2.65234i −0.0496731 0.152878i
\(302\) −8.81850 + 6.40701i −0.507447 + 0.368682i
\(303\) −7.09824 + 23.9528i −0.407783 + 1.37605i
\(304\) −25.1331 + 8.16624i −1.44148 + 0.468366i
\(305\) 6.14112 + 15.4061i 0.351640 + 0.882149i
\(306\) −1.07840 + 0.872844i −0.0616478 + 0.0498971i
\(307\) 23.0974 1.31824 0.659118 0.752039i \(-0.270930\pi\)
0.659118 + 0.752039i \(0.270930\pi\)
\(308\) 0.585865 + 0.149653i 0.0333828 + 0.00852725i
\(309\) −4.90137 6.38916i −0.278829 0.363467i
\(310\) −9.22017 + 0.601584i −0.523670 + 0.0341677i
\(311\) −14.6627 4.76420i −0.831445 0.270153i −0.137791 0.990461i \(-0.544000\pi\)
−0.693654 + 0.720309i \(0.744000\pi\)
\(312\) 6.34219 9.22560i 0.359056 0.522297i
\(313\) 11.3737 + 15.6546i 0.642880 + 0.884848i 0.998765 0.0496818i \(-0.0158207\pi\)
−0.355886 + 0.934530i \(0.615821\pi\)
\(314\) −6.96040 + 5.05703i −0.392798 + 0.285385i
\(315\) −3.82141 4.13840i −0.215312 0.233172i
\(316\) −0.463457 0.150586i −0.0260715 0.00847114i
\(317\) 9.38868 + 6.82127i 0.527321 + 0.383121i 0.819355 0.573287i \(-0.194332\pi\)
−0.292034 + 0.956408i \(0.594332\pi\)
\(318\) −11.7731 15.3468i −0.660203 0.860605i
\(319\) 4.33671 6.85227i 0.242809 0.383654i
\(320\) −9.93833 11.9567i −0.555570 0.668402i
\(321\) 0.749062 + 28.7360i 0.0418086 + 1.60389i
\(322\) 6.83347 + 2.22033i 0.380814 + 0.123734i
\(323\) 0.578124 + 1.77928i 0.0321677 + 0.0990019i
\(324\) −1.94348 + 0.203334i −0.107971 + 0.0112963i
\(325\) −5.23449 10.9911i −0.290357 0.609675i
\(326\) 6.92346 + 21.3082i 0.383455 + 1.18015i
\(327\) 28.4534 10.0721i 1.57348 0.556987i
\(328\) 13.7179 18.8811i 0.757446 1.04253i
\(329\) −0.332376 −0.0183245
\(330\) 2.95812 + 18.8964i 0.162839 + 1.04021i
\(331\) 4.08935 0.224771 0.112385 0.993665i \(-0.464151\pi\)
0.112385 + 0.993665i \(0.464151\pi\)
\(332\) −0.0566151 + 0.0779240i −0.00310716 + 0.00427663i
\(333\) 14.6187 22.4992i 0.801101 1.23295i
\(334\) 8.43405 + 25.9573i 0.461490 + 1.42032i
\(335\) 0.939061 3.69299i 0.0513064 0.201769i
\(336\) −1.81292 + 6.11766i −0.0989031 + 0.333746i
\(337\) 5.91989 + 18.2196i 0.322477 + 0.992482i 0.972567 + 0.232625i \(0.0747314\pi\)
−0.650089 + 0.759858i \(0.725269\pi\)
\(338\) 10.0146 + 3.25395i 0.544724 + 0.176991i
\(339\) 0.209106 0.00545077i 0.0113571 0.000296045i
\(340\) 0.115960 0.0963846i 0.00628879 0.00522719i
\(341\) 0.589286 + 9.18515i 0.0319116 + 0.497404i
\(342\) −6.97043 + 25.9893i −0.376918 + 1.40534i
\(343\) −9.03167 6.56189i −0.487664 0.354309i
\(344\) −8.38532 2.72456i −0.452106 0.146898i
\(345\) 2.02734 + 22.1642i 0.109148 + 1.19328i
\(346\) −5.87828 + 4.27082i −0.316018 + 0.229601i
\(347\) −6.87069 9.45670i −0.368838 0.507662i 0.583747 0.811936i \(-0.301586\pi\)
−0.952585 + 0.304274i \(0.901586\pi\)
\(348\) −0.757718 0.520897i −0.0406179 0.0279230i
\(349\) 8.60838 + 2.79703i 0.460796 + 0.149722i 0.530210 0.847866i \(-0.322113\pi\)
−0.0694142 + 0.997588i \(0.522113\pi\)
\(350\) 4.30062 + 4.53728i 0.229878 + 0.242528i
\(351\) −4.83734 11.6902i −0.258198 0.623975i
\(352\) 3.12213 2.58936i 0.166410 0.138013i
\(353\) 9.10247 0.484476 0.242238 0.970217i \(-0.422119\pi\)
0.242238 + 0.970217i \(0.422119\pi\)
\(354\) 28.5802 0.745000i 1.51902 0.0395963i
\(355\) −0.549279 1.37796i −0.0291527 0.0731347i
\(356\) −3.45012 + 1.12101i −0.182856 + 0.0594136i
\(357\) 0.433096 + 0.128345i 0.0229219 + 0.00679272i
\(358\) −17.3612 + 12.6136i −0.917566 + 0.666651i
\(359\) −1.38757 4.27051i −0.0732334 0.225389i 0.907739 0.419534i \(-0.137807\pi\)
−0.980973 + 0.194145i \(0.937807\pi\)
\(360\) −17.6860 + 2.08371i −0.932134 + 0.109821i
\(361\) 13.9837 + 10.1597i 0.735983 + 0.534723i
\(362\) 20.0870i 1.05575i
\(363\) 18.8265 2.92624i 0.988135 0.153588i
\(364\) 0.443901 0.0232667
\(365\) 2.35040 + 36.0233i 0.123025 + 1.88555i
\(366\) −6.38313 18.0322i −0.333652 0.942559i
\(367\) −8.72302 + 2.83428i −0.455338 + 0.147948i −0.527701 0.849430i \(-0.676946\pi\)
0.0723634 + 0.997378i \(0.476946\pi\)
\(368\) 20.3962 14.8187i 1.06323 0.772480i
\(369\) −9.44571 24.6244i −0.491724 1.28190i
\(370\) −15.8976 + 25.1797i −0.826476 + 1.30903i
\(371\) −1.94609 + 5.98946i −0.101036 + 0.310957i
\(372\) 1.04327 0.0271949i 0.0540910 0.00140999i
\(373\) −31.6743 −1.64003 −0.820016 0.572340i \(-0.806036\pi\)
−0.820016 + 0.572340i \(0.806036\pi\)
\(374\) −0.979138 1.18060i −0.0506300 0.0610473i
\(375\) −7.66208 + 17.7846i −0.395668 + 0.918394i
\(376\) −0.617645 + 0.850116i −0.0318526 + 0.0438414i
\(377\) 1.83962 5.66177i 0.0947453 0.291596i
\(378\) 4.21760 + 4.94174i 0.216930 + 0.254176i
\(379\) 7.52965 5.47061i 0.386772 0.281006i −0.377359 0.926067i \(-0.623168\pi\)
0.764131 + 0.645061i \(0.223168\pi\)
\(380\) 0.720709 2.83429i 0.0369716 0.145396i
\(381\) 7.92951 + 5.45119i 0.406241 + 0.279273i
\(382\) 2.28764 7.04063i 0.117046 0.360230i
\(383\) −21.7551 15.8060i −1.11164 0.807651i −0.128715 0.991682i \(-0.541085\pi\)
−0.982920 + 0.184031i \(0.941085\pi\)
\(384\) 13.4935 + 17.5894i 0.688588 + 0.897606i
\(385\) 4.52438 4.27908i 0.230584 0.218082i
\(386\) 19.8158i 1.00860i
\(387\) −7.74470 + 6.26848i −0.393685 + 0.318645i
\(388\) 0.589158 + 0.191429i 0.0299100 + 0.00971833i
\(389\) −10.8590 + 3.52831i −0.550575 + 0.178893i −0.571076 0.820897i \(-0.693474\pi\)
0.0205011 + 0.999790i \(0.493474\pi\)
\(390\) 5.53727 + 12.9031i 0.280391 + 0.653373i
\(391\) −1.04908 1.44394i −0.0530544 0.0730231i
\(392\) −15.8932 + 5.16402i −0.802729 + 0.260822i
\(393\) 1.20782 + 3.41207i 0.0609265 + 0.172116i
\(394\) 0.106626 + 0.0774680i 0.00537172 + 0.00390278i
\(395\) −3.85949 + 3.20797i −0.194192 + 0.161411i
\(396\) −0.250446 2.14576i −0.0125854 0.107828i
\(397\) 13.2971i 0.667363i 0.942686 + 0.333681i \(0.108291\pi\)
−0.942686 + 0.333681i \(0.891709\pi\)
\(398\) 22.5357 31.0178i 1.12961 1.55478i
\(399\) 8.25873 2.92346i 0.413453 0.146356i
\(400\) 21.7495 2.85030i 1.08748 0.142515i
\(401\) −12.7867 17.5994i −0.638538 0.878872i 0.359999 0.932953i \(-0.382777\pi\)
−0.998537 + 0.0540808i \(0.982777\pi\)
\(402\) −1.24873 + 4.21381i −0.0622811 + 0.210166i
\(403\) 2.08797 + 6.42610i 0.104009 + 0.320107i
\(404\) −0.967738 + 2.97839i −0.0481468 + 0.148181i
\(405\) −8.91480 + 18.0423i −0.442980 + 0.896531i
\(406\) 3.05708i 0.151720i
\(407\) 25.0650 + 15.8633i 1.24243 + 0.786315i
\(408\) 1.13308 0.869227i 0.0560957 0.0430331i
\(409\) −11.1044 + 15.2839i −0.549078 + 0.755740i −0.989887 0.141860i \(-0.954692\pi\)
0.440809 + 0.897601i \(0.354692\pi\)
\(410\) 10.8384 + 27.1901i 0.535272 + 1.34282i
\(411\) 14.3828 + 9.88755i 0.709452 + 0.487717i
\(412\) −0.593331 0.816651i −0.0292313 0.0402335i
\(413\) −5.47144 7.53079i −0.269232 0.370566i
\(414\) −1.33739 25.6354i −0.0657290 1.25991i
\(415\) 0.367308 + 0.921456i 0.0180304 + 0.0452325i
\(416\) 1.75024 2.40899i 0.0858124 0.118111i
\(417\) −0.881046 1.14848i −0.0431450 0.0562415i
\(418\) −28.8222 7.36231i −1.40974 0.360102i
\(419\) 22.2396i 1.08648i −0.839579 0.543238i \(-0.817198\pi\)
0.839579 0.543238i \(-0.182802\pi\)
\(420\) −0.465351 0.531075i −0.0227068 0.0259138i
\(421\) −5.65642 + 17.4087i −0.275677 + 0.848446i 0.713363 + 0.700795i \(0.247171\pi\)
−0.989039 + 0.147651i \(0.952829\pi\)
\(422\) 10.8444 + 33.3758i 0.527899 + 1.62471i
\(423\) 0.425290 + 1.10871i 0.0206783 + 0.0539071i
\(424\) 11.7028 + 16.1076i 0.568340 + 0.782253i
\(425\) −0.201785 1.53974i −0.00978800 0.0746885i
\(426\) 0.570925 + 1.61285i 0.0276614 + 0.0781430i
\(427\) −3.66078 + 5.03863i −0.177157 + 0.243836i
\(428\) 3.60342i 0.174178i
\(429\) 12.8592 5.50189i 0.620846 0.265634i
\(430\) 8.50394 7.06840i 0.410097 0.340869i
\(431\) 18.6351 + 13.5392i 0.897623 + 0.652161i 0.937854 0.347029i \(-0.112810\pi\)
−0.0402314 + 0.999190i \(0.512810\pi\)
\(432\) 22.7264 1.78046i 1.09342 0.0856622i
\(433\) −22.8557 + 7.42627i −1.09837 + 0.356884i −0.801477 0.598026i \(-0.795952\pi\)
−0.296898 + 0.954909i \(0.595952\pi\)
\(434\) −2.03948 2.80711i −0.0978984 0.134746i
\(435\) −8.70215 + 3.73447i −0.417236 + 0.179054i
\(436\) 3.59846 1.16921i 0.172335 0.0559951i
\(437\) −32.9218 10.6969i −1.57486 0.511704i
\(438\) −1.08498 41.6226i −0.0518422 1.98880i
\(439\) 22.8635i 1.09121i −0.838041 0.545607i \(-0.816299\pi\)
0.838041 0.545607i \(-0.183701\pi\)
\(440\) −2.53704 19.5237i −0.120949 0.930755i
\(441\) −4.89206 + 18.2401i −0.232955 + 0.868574i
\(442\) −0.910936 0.661834i −0.0433288 0.0314802i
\(443\) 2.61128 8.03669i 0.124066 0.381835i −0.869664 0.493644i \(-0.835665\pi\)
0.993730 + 0.111809i \(0.0356646\pi\)
\(444\) 1.90540 2.77167i 0.0904262 0.131538i
\(445\) −9.20710 + 36.2082i −0.436458 + 1.71643i
\(446\) −24.3329 + 17.6789i −1.15219 + 0.837118i
\(447\) 3.64129 + 2.50322i 0.172227 + 0.118398i
\(448\) 1.80423 5.55284i 0.0852418 0.262347i
\(449\) −12.3658 + 17.0201i −0.583581 + 0.803230i −0.994082 0.108630i \(-0.965354\pi\)
0.410502 + 0.911860i \(0.365354\pi\)
\(450\) 9.63217 20.1513i 0.454065 0.949940i
\(451\) 27.0966 10.7671i 1.27593 0.507003i
\(452\) 0.0262214 0.00123335
\(453\) −0.330405 12.6752i −0.0155238 0.595533i
\(454\) 0.296960 0.913950i 0.0139370 0.0428938i
\(455\) 2.44062 3.86562i 0.114418 0.181223i
\(456\) 7.86965 26.5559i 0.368530 1.24359i
\(457\) 23.4701 17.0520i 1.09789 0.797660i 0.117172 0.993112i \(-0.462617\pi\)
0.980713 + 0.195451i \(0.0626172\pi\)
\(458\) −26.2490 + 8.52881i −1.22653 + 0.398525i
\(459\) −0.126046 1.60890i −0.00588333 0.0750971i
\(460\) 0.181650 + 2.78406i 0.00846950 + 0.129808i
\(461\) 16.9353 0.788757 0.394378 0.918948i \(-0.370960\pi\)
0.394378 + 0.918948i \(0.370960\pi\)
\(462\) −5.40720 + 4.72766i −0.251566 + 0.219951i
\(463\) 11.4918i 0.534068i −0.963687 0.267034i \(-0.913956\pi\)
0.963687 0.267034i \(-0.0860437\pi\)
\(464\) 8.67805 + 6.30497i 0.402868 + 0.292701i
\(465\) 5.49920 9.23461i 0.255019 0.428245i
\(466\) 6.35488 + 19.5583i 0.294384 + 0.906021i
\(467\) −25.5366 + 18.5534i −1.18169 + 0.858550i −0.992362 0.123363i \(-0.960632\pi\)
−0.189331 + 0.981913i \(0.560632\pi\)
\(468\) −0.567992 1.48072i −0.0262554 0.0684464i
\(469\) 1.36091 0.442187i 0.0628410 0.0204183i
\(470\) −0.487997 1.22423i −0.0225096 0.0564693i
\(471\) −0.260787 10.0045i −0.0120164 0.460983i
\(472\) −29.4289 −1.35457
\(473\) −7.03186 8.47868i −0.323325 0.389850i
\(474\) 4.59264 3.52319i 0.210947 0.161826i
\(475\) −20.7192 21.8594i −0.950664 1.00298i
\(476\) 0.0538530 + 0.0174979i 0.00246835 + 0.000802014i
\(477\) 22.4692 1.17220i 1.02879 0.0536716i
\(478\) −8.09587 11.1430i −0.370297 0.509670i
\(479\) −6.97638 + 5.06864i −0.318759 + 0.231592i −0.735646 0.677366i \(-0.763121\pi\)
0.416887 + 0.908958i \(0.363121\pi\)
\(480\) −4.71688 + 0.431449i −0.215295 + 0.0196929i
\(481\) 20.7103 + 6.72918i 0.944308 + 0.306824i
\(482\) 12.3848 + 8.99810i 0.564113 + 0.409852i
\(483\) −6.63143 + 5.08722i −0.301741 + 0.231477i
\(484\) 2.36875 0.305197i 0.107670 0.0138726i
\(485\) 4.90628 4.07806i 0.222783 0.185175i
\(486\) 11.0876 20.3918i 0.502942 0.924992i
\(487\) −34.7245 11.2827i −1.57352 0.511266i −0.613140 0.789974i \(-0.710094\pi\)
−0.960376 + 0.278708i \(0.910094\pi\)
\(488\) 6.08454 + 18.7263i 0.275434 + 0.847700i
\(489\) −24.9878 7.40496i −1.12999 0.334864i
\(490\) 5.16511 20.3125i 0.233336 0.917625i
\(491\) −11.5791 35.6367i −0.522556 1.60826i −0.769099 0.639129i \(-0.779295\pi\)
0.246543 0.969132i \(-0.420705\pi\)
\(492\) −1.10323 3.11659i −0.0497373 0.140507i
\(493\) 0.446356 0.614357i 0.0201029 0.0276692i
\(494\) −21.8382 −0.982546
\(495\) −20.0629 9.61670i −0.901759 0.432238i
\(496\) −12.1747 −0.546661
\(497\) 0.327430 0.450669i 0.0146872 0.0202153i
\(498\) −0.381783 1.07853i −0.0171081 0.0483301i
\(499\) 0.669241 + 2.05971i 0.0299593 + 0.0922054i 0.964918 0.262551i \(-0.0845638\pi\)
−0.934959 + 0.354756i \(0.884564\pi\)
\(500\) −1.01825 + 2.20360i −0.0455373 + 0.0985481i
\(501\) −30.4398 9.02060i −1.35995 0.403011i
\(502\) 1.33269 + 4.10159i 0.0594807 + 0.183063i
\(503\) 27.3239 + 8.87809i 1.21831 + 0.395854i 0.846468 0.532440i \(-0.178725\pi\)
0.371847 + 0.928294i \(0.378725\pi\)
\(504\) −4.20734 5.19816i −0.187410 0.231544i
\(505\) 20.6160 + 24.8029i 0.917398 + 1.10371i
\(506\) 28.3214 1.81700i 1.25904 0.0807754i
\(507\) −9.71853 + 7.45545i −0.431615 + 0.331108i
\(508\) 0.975859 + 0.709003i 0.0432967 + 0.0314569i
\(509\) 19.0581 + 6.19235i 0.844736 + 0.274471i 0.699239 0.714888i \(-0.253522\pi\)
0.145496 + 0.989359i \(0.453522\pi\)
\(510\) 0.163148 + 1.78364i 0.00722431 + 0.0789809i
\(511\) −10.9674 + 7.96829i −0.485170 + 0.352496i
\(512\) −10.5376 14.5037i −0.465700 0.640981i
\(513\) −20.3192 23.8079i −0.897116 1.05115i
\(514\) −13.9055 4.51816i −0.613344 0.199288i
\(515\) −10.3738 + 0.676857i −0.457126 + 0.0298259i
\(516\) −0.990981 + 0.760220i −0.0436255 + 0.0334668i
\(517\) −1.22002 + 0.484785i −0.0536563 + 0.0213208i
\(518\) −11.1825 −0.491333
\(519\) −0.220243 8.44911i −0.00966760 0.370875i
\(520\) −5.35173 13.4258i −0.234689 0.588758i
\(521\) 14.8418 4.82239i 0.650231 0.211273i 0.0347148 0.999397i \(-0.488948\pi\)
0.615516 + 0.788125i \(0.288948\pi\)
\(522\) 10.1975 3.91168i 0.446333 0.171209i
\(523\) 18.0675 13.1268i 0.790037 0.573995i −0.117938 0.993021i \(-0.537628\pi\)
0.907974 + 0.419026i \(0.137628\pi\)
\(524\) 0.140209 + 0.431520i 0.00612507 + 0.0188510i
\(525\) −7.18331 + 1.13250i −0.313505 + 0.0494262i
\(526\) −32.0844 23.3107i −1.39895 1.01639i
\(527\) 0.861902i 0.0375450i
\(528\) 2.26837 + 25.0997i 0.0987182 + 1.09232i
\(529\) 10.0240 0.435827
\(530\) −24.9180 + 1.62581i −1.08237 + 0.0706208i
\(531\) −18.1195 + 27.8871i −0.786320 + 1.21020i
\(532\) 1.04447 0.339369i 0.0452835 0.0147135i
\(533\) 17.3169 12.5815i 0.750078 0.544964i
\(534\) 12.2433 41.3146i 0.529819 1.78786i
\(535\) 31.3796 + 19.8121i 1.35666 + 0.856550i
\(536\) 1.39797 4.30250i 0.0603830 0.185840i
\(537\) −0.650475 24.9540i −0.0280701 1.07684i
\(538\) −0.139891 −0.00603112
\(539\) −20.2283 5.16709i −0.871295 0.222562i
\(540\) −1.17607 + 2.23181i −0.0506100 + 0.0960417i
\(541\) −4.61175 + 6.34754i −0.198275 + 0.272902i −0.896564 0.442914i \(-0.853945\pi\)
0.698289 + 0.715815i \(0.253945\pi\)
\(542\) 7.57152 23.3028i 0.325225 1.00094i
\(543\) 19.2548 + 13.2368i 0.826303 + 0.568047i
\(544\) 0.307293 0.223261i 0.0131751 0.00957225i
\(545\) 9.60296 37.7649i 0.411346 1.61767i
\(546\) −2.98705 + 4.34508i −0.127834 + 0.185952i
\(547\) 9.75347 30.0181i 0.417028 1.28348i −0.493396 0.869805i \(-0.664245\pi\)
0.910424 0.413676i \(-0.135755\pi\)
\(548\) 1.77004 + 1.28601i 0.0756126 + 0.0549357i
\(549\) 21.4915 + 5.76410i 0.917234 + 0.246006i
\(550\) 22.4037 + 10.3819i 0.955296 + 0.442685i
\(551\) 14.7282i 0.627442i
\(552\) 0.688551 + 26.4146i 0.0293067 + 1.12428i
\(553\) −1.79239 0.582383i −0.0762202 0.0247655i
\(554\) 1.82226 0.592087i 0.0774203 0.0251554i
\(555\) −13.6604 31.8317i −0.579850 1.35118i
\(556\) −0.106654 0.146797i −0.00452315 0.00622558i
\(557\) 37.1728 12.0782i 1.57506 0.511769i 0.614284 0.789085i \(-0.289445\pi\)
0.960779 + 0.277316i \(0.0894448\pi\)
\(558\) −6.75407 + 10.3949i −0.285922 + 0.440053i
\(559\) −6.54205 4.75308i −0.276699 0.201034i
\(560\) 5.26541 + 6.33478i 0.222504 + 0.267693i
\(561\) 1.77692 0.160588i 0.0750214 0.00678003i
\(562\) 18.0603i 0.761829i
\(563\) −5.84141 + 8.04001i −0.246186 + 0.338846i −0.914171 0.405329i \(-0.867157\pi\)
0.667985 + 0.744175i \(0.267157\pi\)
\(564\) 0.0496725 + 0.140324i 0.00209159 + 0.00590869i
\(565\) 0.144168 0.228343i 0.00606521 0.00960648i
\(566\) 17.1334 + 23.5821i 0.720171 + 0.991230i
\(567\) −7.51630 + 0.786383i −0.315655 + 0.0330250i
\(568\) −0.544219 1.67493i −0.0228349 0.0702786i
\(569\) −11.6643 + 35.8991i −0.488994 + 1.50497i 0.337119 + 0.941462i \(0.390548\pi\)
−0.826112 + 0.563506i \(0.809452\pi\)
\(570\) 22.8934 + 26.1268i 0.958899 + 1.09433i
\(571\) 19.5186i 0.816829i 0.912797 + 0.408414i \(0.133918\pi\)
−0.912797 + 0.408414i \(0.866082\pi\)
\(572\) 1.62938 0.647450i 0.0681279 0.0270712i
\(573\) 5.24144 + 6.83246i 0.218964 + 0.285430i
\(574\) −6.46088 + 8.89264i −0.269672 + 0.371172i
\(575\) 25.2432 + 13.7253i 1.05271 + 0.572383i
\(576\) −20.8312 + 1.08675i −0.867968 + 0.0452814i
\(577\) −0.640516 0.881595i −0.0266650 0.0367013i 0.795476 0.605985i \(-0.207221\pi\)
−0.822141 + 0.569283i \(0.807221\pi\)
\(578\) 14.7942 + 20.3624i 0.615357 + 0.846966i
\(579\) 18.9948 + 13.0581i 0.789397 + 0.542676i
\(580\) −1.10268 + 0.439549i −0.0457865 + 0.0182513i
\(581\) −0.218956 + 0.301366i −0.00908381 + 0.0125028i
\(582\) −5.83828 + 4.47877i −0.242005 + 0.185651i
\(583\) 1.59258 + 24.8233i 0.0659578 + 1.02808i
\(584\) 42.8586i 1.77350i
\(585\) −16.0174 3.19495i −0.662240 0.132095i
\(586\) 4.27532 13.1581i 0.176612 0.543556i
\(587\) −3.49714 10.7631i −0.144342 0.444240i 0.852583 0.522591i \(-0.175035\pi\)
−0.996926 + 0.0783509i \(0.975035\pi\)
\(588\) −0.672616 + 2.26972i −0.0277382 + 0.0936018i
\(589\) 9.82568 + 13.5239i 0.404860 + 0.557242i
\(590\) 19.7046 31.2095i 0.811227 1.28487i
\(591\) −0.144522 + 0.0511587i −0.00594485 + 0.00210439i
\(592\) −23.0631 + 31.7436i −0.947886 + 1.30465i
\(593\) 11.8491i 0.486583i −0.969953 0.243292i \(-0.921773\pi\)
0.969953 0.243292i \(-0.0782272\pi\)
\(594\) 22.6888 + 11.9876i 0.930934 + 0.491856i
\(595\) 0.448467 0.372762i 0.0183853 0.0152817i
\(596\) 0.448121 + 0.325579i 0.0183558 + 0.0133362i
\(597\) 14.8822 + 42.0421i 0.609090 + 1.72067i
\(598\) 19.8141 6.43800i 0.810261 0.263270i
\(599\) −1.06761 1.46944i −0.0436214 0.0600397i 0.786649 0.617400i \(-0.211814\pi\)
−0.830271 + 0.557361i \(0.811814\pi\)
\(600\) −10.4520 + 20.4772i −0.426701 + 0.835979i
\(601\) −1.91562 + 0.622424i −0.0781399 + 0.0253892i −0.347826 0.937559i \(-0.613080\pi\)
0.269686 + 0.962948i \(0.413080\pi\)
\(602\) 3.94933 + 1.28321i 0.160963 + 0.0522999i
\(603\) −3.21635 3.97379i −0.130980 0.161825i
\(604\) 1.58944i 0.0646734i
\(605\) 10.3659 22.3058i 0.421435 0.906859i
\(606\) −22.6417 29.5145i −0.919756 1.19894i
\(607\) −19.2387 13.9777i −0.780874 0.567338i 0.124367 0.992236i \(-0.460310\pi\)
−0.905241 + 0.424898i \(0.860310\pi\)
\(608\) 2.27648 7.00628i 0.0923234 0.284142i
\(609\) −2.93043 2.01454i −0.118747 0.0816333i
\(610\) −23.9333 6.08583i −0.969033 0.246408i
\(611\) −0.779688 + 0.566476i −0.0315428 + 0.0229172i
\(612\) −0.0105396 0.202027i −0.000426039 0.00816645i
\(613\) −6.14878 + 18.9240i −0.248347 + 0.764333i 0.746721 + 0.665137i \(0.231627\pi\)
−0.995068 + 0.0991959i \(0.968373\pi\)
\(614\) −20.2151 + 27.8237i −0.815815 + 1.12287i
\(615\) −33.2059 7.52820i −1.33899 0.303566i
\(616\) 5.69080 4.71971i 0.229289 0.190162i
\(617\) 7.42907 0.299083 0.149542 0.988755i \(-0.452220\pi\)
0.149542 + 0.988755i \(0.452220\pi\)
\(618\) 11.9863 0.312447i 0.482159 0.0125685i
\(619\) −3.02156 + 9.29941i −0.121447 + 0.373775i −0.993237 0.116105i \(-0.962959\pi\)
0.871790 + 0.489879i \(0.162959\pi\)
\(620\) 0.719282 1.13925i 0.0288871 0.0457533i
\(621\) 25.4547 + 15.6111i 1.02146 + 0.626453i
\(622\) 18.5720 13.4934i 0.744671 0.541035i
\(623\) −13.3432 + 4.33545i −0.534582 + 0.173696i
\(624\) 6.17372 + 17.4406i 0.247147 + 0.698184i
\(625\) 13.5912 + 20.9829i 0.543647 + 0.839314i
\(626\) −28.8123 −1.15157
\(627\) 26.0504 22.7766i 1.04035 0.909609i
\(628\) 1.25454i 0.0500615i
\(629\) 2.24727 + 1.63273i 0.0896043 + 0.0651014i
\(630\) 8.32977 0.981388i 0.331866 0.0390994i
\(631\) −11.8841 36.5754i −0.473098 1.45604i −0.848506 0.529185i \(-0.822498\pi\)
0.375409 0.926859i \(-0.377502\pi\)
\(632\) −4.82031 + 3.50216i −0.191742 + 0.139309i
\(633\) −39.1392 11.5986i −1.55565 0.461004i
\(634\) −16.4342 + 5.33978i −0.652684 + 0.212070i
\(635\) 11.5396 4.59988i 0.457935 0.182541i
\(636\) 2.81949 0.0734957i 0.111800 0.00291429i
\(637\) −15.3267 −0.607265
\(638\) 4.45889 + 11.2213i 0.176529 + 0.444256i
\(639\) −1.92226 0.515557i −0.0760434 0.0203951i
\(640\) 28.5593 1.86339i 1.12890 0.0736571i
\(641\) −35.1825 11.4315i −1.38962 0.451516i −0.483804 0.875177i \(-0.660745\pi\)
−0.905821 + 0.423660i \(0.860745\pi\)
\(642\) −35.2718 24.2478i −1.39207 0.956983i
\(643\) 11.1695 + 15.3735i 0.440482 + 0.606271i 0.970319 0.241828i \(-0.0777470\pi\)
−0.529837 + 0.848099i \(0.677747\pi\)
\(644\) −0.847617 + 0.615830i −0.0334008 + 0.0242671i
\(645\) 1.17168 + 12.8095i 0.0461347 + 0.504375i
\(646\) −2.64935 0.860826i −0.104237 0.0338688i
\(647\) −3.08779 2.24341i −0.121394 0.0881975i 0.525432 0.850836i \(-0.323904\pi\)
−0.646825 + 0.762638i \(0.723904\pi\)
\(648\) −11.9560 + 20.6857i −0.469677 + 0.812612i
\(649\) −31.0674 19.6621i −1.21950 0.771806i
\(650\) 17.8214 + 3.31391i 0.699014 + 0.129982i
\(651\) 4.03478 0.105175i 0.158136 0.00412212i
\(652\) −3.10709 1.00955i −0.121683 0.0395372i
\(653\) −9.63447 29.6518i −0.377026 1.16037i −0.942102 0.335327i \(-0.891153\pi\)
0.565076 0.825039i \(-0.308847\pi\)
\(654\) −12.7697 + 43.0909i −0.499334 + 1.68499i
\(655\) 4.52869 + 1.15157i 0.176950 + 0.0449954i
\(656\) 11.9183 + 36.6807i 0.465330 + 1.43214i
\(657\) 40.6132 + 26.3882i 1.58447 + 1.02950i
\(658\) 0.290899 0.400389i 0.0113404 0.0156088i
\(659\) 25.0775 0.976880 0.488440 0.872598i \(-0.337566\pi\)
0.488440 + 0.872598i \(0.337566\pi\)
\(660\) −2.48271 1.27063i −0.0966394 0.0494590i
\(661\) 15.8866 0.617918 0.308959 0.951075i \(-0.400019\pi\)
0.308959 + 0.951075i \(0.400019\pi\)
\(662\) −3.57905 + 4.92614i −0.139104 + 0.191460i
\(663\) 1.23470 0.437064i 0.0479517 0.0169742i
\(664\) 0.363924 + 1.12004i 0.0141230 + 0.0434661i
\(665\) 2.78730 10.9614i 0.108087 0.425066i
\(666\) 14.3086 + 37.3016i 0.554446 + 1.44541i
\(667\) 4.34194 + 13.3631i 0.168121 + 0.517422i
\(668\) −3.78501 1.22982i −0.146446 0.0475833i
\(669\) −0.911686 34.9747i −0.0352478 1.35220i
\(670\) 3.62679 + 4.36336i 0.140115 + 0.168571i
\(671\) −6.08816 + 23.8342i −0.235031 + 0.920108i
\(672\) −1.08264 1.41127i −0.0417638 0.0544410i
\(673\) 24.0483 + 17.4721i 0.926995 + 0.673501i 0.945255 0.326332i \(-0.105813\pi\)
−0.0182602 + 0.999833i \(0.505813\pi\)
\(674\) −27.1289 8.81472i −1.04497 0.339530i
\(675\) 12.9690 + 22.5123i 0.499179 + 0.866499i
\(676\) −1.24220 + 0.902514i −0.0477771 + 0.0347121i
\(677\) 16.0277 + 22.0602i 0.615995 + 0.847844i 0.997054 0.0767069i \(-0.0244406\pi\)
−0.381059 + 0.924551i \(0.624441\pi\)
\(678\) −0.176446 + 0.256665i −0.00677638 + 0.00985718i
\(679\) 2.27853 + 0.740340i 0.0874421 + 0.0284116i
\(680\) −0.120036 1.83973i −0.00460318 0.0705506i
\(681\) 0.680396 + 0.886928i 0.0260728 + 0.0339872i
\(682\) −11.5804 7.32908i −0.443437 0.280645i
\(683\) −15.5577 −0.595300 −0.297650 0.954675i \(-0.596203\pi\)
−0.297650 + 0.954675i \(0.596203\pi\)
\(684\) −2.46848 3.04980i −0.0943847 0.116612i
\(685\) 20.9309 8.34341i 0.799728 0.318785i
\(686\) 15.8093 5.13674i 0.603600 0.196122i
\(687\) 9.12195 30.7818i 0.348024 1.17440i
\(688\) 11.7878 8.56433i 0.449405 0.326512i
\(689\) 5.64284 + 17.3669i 0.214975 + 0.661625i
\(690\) −28.4739 16.9562i −1.08398 0.645510i
\(691\) −14.9402 10.8547i −0.568353 0.412933i 0.266153 0.963931i \(-0.414247\pi\)
−0.834507 + 0.550998i \(0.814247\pi\)
\(692\) 1.05950i 0.0402760i
\(693\) −0.968584 8.29860i −0.0367935 0.315238i
\(694\) 17.4051 0.660688
\(695\) −1.86475 + 0.121668i −0.0707340 + 0.00461515i
\(696\) −10.5981 + 3.75157i −0.401721 + 0.142203i
\(697\) 2.59678 0.843746i 0.0983602 0.0319592i
\(698\) −10.9035 + 7.92189i −0.412705 + 0.299848i
\(699\) −22.9357 6.79683i −0.867508 0.257080i
\(700\) −0.903856 + 0.118451i −0.0341626 + 0.00447703i
\(701\) 13.1164 40.3682i 0.495401 1.52469i −0.320930 0.947103i \(-0.603995\pi\)
0.816331 0.577584i \(-0.196005\pi\)
\(702\) 18.3160 + 4.40418i 0.691292 + 0.166225i
\(703\) 53.8744 2.03191
\(704\) −1.47648 23.0138i −0.0556470 0.867365i
\(705\) 1.49508 + 0.338955i 0.0563082 + 0.0127658i
\(706\) −7.96659 + 10.9651i −0.299827 + 0.412676i
\(707\) −3.74267 + 11.5188i −0.140758 + 0.433207i
\(708\) −2.36169 + 3.43541i −0.0887577 + 0.129110i
\(709\) −12.3701 + 8.98739i −0.464568 + 0.337528i −0.795321 0.606189i \(-0.792697\pi\)
0.330753 + 0.943717i \(0.392697\pi\)
\(710\) 2.14067 + 0.544334i 0.0803378 + 0.0204285i
\(711\) 0.350791 + 6.72407i 0.0131557 + 0.252172i
\(712\) −13.7065 + 42.1842i −0.513672 + 1.58092i
\(713\) −12.9019 9.37379i −0.483181 0.351051i
\(714\) −0.533658 + 0.409389i −0.0199717 + 0.0153210i
\(715\) 3.32036 17.7489i 0.124174 0.663771i
\(716\) 3.12916i 0.116942i
\(717\) 16.0163 0.417498i 0.598141 0.0155918i
\(718\) 6.35880 + 2.06610i 0.237308 + 0.0771061i
\(719\) −20.6602 + 6.71290i −0.770494 + 0.250349i −0.667777 0.744362i \(-0.732754\pi\)
−0.102718 + 0.994711i \(0.532754\pi\)
\(720\) 14.3936 25.6695i 0.536418 0.956646i
\(721\) −2.29467 3.15835i −0.0854581 0.117623i
\(722\) −24.4774 + 7.95318i −0.910954 + 0.295987i
\(723\) −16.7866 + 5.94220i −0.624300 + 0.220993i
\(724\) 2.36963 + 1.72163i 0.0880665 + 0.0639840i
\(725\) −2.23498 + 12.0192i −0.0830050 + 0.446382i
\(726\) −12.9522 + 25.2400i −0.480699 + 0.936744i
\(727\) 50.7394i 1.88182i −0.338656 0.940910i \(-0.609972\pi\)
0.338656 0.940910i \(-0.390028\pi\)
\(728\) 3.19021 4.39095i 0.118237 0.162740i
\(729\) 12.2406 + 24.0659i 0.453355 + 0.891330i
\(730\) −45.4517 28.6967i −1.68224 1.06211i
\(731\) −0.606306 0.834508i −0.0224250 0.0308654i
\(732\) 2.67432 + 0.792515i 0.0988457 + 0.0292922i
\(733\) −6.96380 21.4324i −0.257214 0.791623i −0.993385 0.114828i \(-0.963368\pi\)
0.736171 0.676795i \(-0.236632\pi\)
\(734\) 4.22024 12.9886i 0.155772 0.479417i
\(735\) 16.0673 + 18.3365i 0.592651 + 0.676354i
\(736\) 7.02803i 0.259057i
\(737\) 4.35040 3.60804i 0.160249 0.132904i
\(738\) 37.9302 + 10.1730i 1.39623 + 0.374474i
\(739\) 11.1028 15.2817i 0.408424 0.562148i −0.554409 0.832244i \(-0.687056\pi\)
0.962833 + 0.270097i \(0.0870556\pi\)
\(740\) −1.60783 4.03353i −0.0591051 0.148275i
\(741\) 14.3908 20.9334i 0.528660 0.769009i
\(742\) −5.51181 7.58636i −0.202345 0.278504i
\(743\) 22.5417 + 31.0260i 0.826975 + 1.13823i 0.988479 + 0.151361i \(0.0483656\pi\)
−0.161504 + 0.986872i \(0.551634\pi\)
\(744\) 7.22873 10.5152i 0.265018 0.385506i
\(745\) 5.29906 2.11229i 0.194143 0.0773885i
\(746\) 27.7217 38.1557i 1.01496 1.39698i
\(747\) 1.28543 + 0.344758i 0.0470315 + 0.0126140i
\(748\) 0.223194 0.0143193i 0.00816078 0.000523566i
\(749\) 13.9360i 0.509211i
\(750\) −14.7179 24.7953i −0.537421 0.905395i
\(751\) −0.891345 + 2.74328i −0.0325256 + 0.100104i −0.966001 0.258537i \(-0.916760\pi\)
0.933476 + 0.358641i \(0.116760\pi\)
\(752\) −0.536616 1.65154i −0.0195684 0.0602253i
\(753\) −4.80987 1.42537i −0.175281 0.0519433i
\(754\) 5.21026 + 7.17131i 0.189746 + 0.261164i
\(755\) −13.8413 8.73893i −0.503736 0.318042i
\(756\) −0.944453 + 0.0739913i −0.0343494 + 0.00269104i
\(757\) 21.3847 29.4335i 0.777239 1.06978i −0.218343 0.975872i \(-0.570065\pi\)
0.995581 0.0939049i \(-0.0299350\pi\)
\(758\) 13.8584i 0.503358i
\(759\) −16.9214 + 28.3454i −0.614206 + 1.02887i
\(760\) −22.8564 27.4984i −0.829090 0.997472i
\(761\) −3.03234 2.20312i −0.109922 0.0798631i 0.531466 0.847079i \(-0.321641\pi\)
−0.641388 + 0.767216i \(0.721641\pi\)
\(762\) −13.5067 + 4.78115i −0.489295 + 0.173203i
\(763\) 13.9168 4.52186i 0.503824 0.163702i
\(764\) 0.634499 + 0.873313i 0.0229554 + 0.0315953i
\(765\) −1.81726 1.01899i −0.0657030 0.0368415i
\(766\) 38.0807 12.3732i 1.37591 0.447061i
\(767\) −25.6698 8.34063i −0.926884 0.301163i
\(768\) −8.92000 + 0.232518i −0.321873 + 0.00839026i
\(769\) 42.5876i 1.53575i −0.640602 0.767873i \(-0.721315\pi\)
0.640602 0.767873i \(-0.278685\pi\)
\(770\) 1.19490 + 9.19529i 0.0430612 + 0.331375i
\(771\) 13.4943 10.3520i 0.485987 0.372819i
\(772\) 2.33763 + 1.69839i 0.0841331 + 0.0611262i
\(773\) −11.2114 + 34.5052i −0.403247 + 1.24107i 0.519103 + 0.854712i \(0.326266\pi\)
−0.922350 + 0.386355i \(0.873734\pi\)