Properties

Label 273.2.u.c.251.19
Level $273$
Weight $2$
Character 273.251
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.19
Character \(\chi\) \(=\) 273.251
Dual form 273.2.u.c.62.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.376715 - 0.652489i) q^{2} +(-0.798779 - 1.53686i) q^{3} +(0.716172 + 1.24045i) q^{4} +2.14750i q^{5} +(-1.30370 - 0.0577652i) q^{6} +(2.55544 - 0.685379i) q^{7} +2.58603 q^{8} +(-1.72391 + 2.45523i) q^{9} +O(q^{10})\) \(q+(0.376715 - 0.652489i) q^{2} +(-0.798779 - 1.53686i) q^{3} +(0.716172 + 1.24045i) q^{4} +2.14750i q^{5} +(-1.30370 - 0.0577652i) q^{6} +(2.55544 - 0.685379i) q^{7} +2.58603 q^{8} +(-1.72391 + 2.45523i) q^{9} +(1.40122 + 0.808996i) q^{10} +(0.0743945 - 0.128855i) q^{11} +(1.33433 - 2.09150i) q^{12} +(3.58004 + 0.428160i) q^{13} +(0.515469 - 1.92559i) q^{14} +(3.30042 - 1.71538i) q^{15} +(-0.458147 + 0.793534i) q^{16} +(-2.50706 - 4.34235i) q^{17} +(0.952590 + 2.04975i) q^{18} +(0.254791 + 0.441311i) q^{19} +(-2.66386 + 1.53798i) q^{20} +(-3.09456 - 3.37989i) q^{21} +(-0.0560511 - 0.0970833i) q^{22} +(0.305719 + 0.176507i) q^{23} +(-2.06567 - 3.97438i) q^{24} +0.388242 q^{25} +(1.62802 - 2.17464i) q^{26} +(5.15037 + 0.688224i) q^{27} +(2.68031 + 2.67903i) q^{28} +(-7.97057 - 4.60181i) q^{29} +(0.124051 - 2.79970i) q^{30} +2.08035 q^{31} +(2.93121 + 5.07701i) q^{32} +(-0.257458 - 0.0114076i) q^{33} -3.77778 q^{34} +(1.47185 + 5.48780i) q^{35} +(-4.28019 - 0.380045i) q^{36} +(-7.26104 - 4.19217i) q^{37} +0.383934 q^{38} +(-2.20164 - 5.84404i) q^{39} +5.55350i q^{40} +(-2.21829 - 1.28073i) q^{41} +(-3.37111 + 0.745913i) q^{42} +(0.758169 + 1.31319i) q^{43} +0.213117 q^{44} +(-5.27261 - 3.70209i) q^{45} +(0.230338 - 0.132986i) q^{46} +11.0663i q^{47} +(1.58551 + 0.0702520i) q^{48} +(6.06051 - 3.50288i) q^{49} +(0.146257 - 0.253324i) q^{50} +(-4.67102 + 7.32159i) q^{51} +(2.03281 + 4.74748i) q^{52} +8.83595i q^{53} +(2.38928 - 3.10130i) q^{54} +(0.276716 + 0.159762i) q^{55} +(6.60844 - 1.77241i) q^{56} +(0.474714 - 0.744089i) q^{57} +(-6.00526 + 3.46714i) q^{58} +(4.86495 - 2.80878i) q^{59} +(4.49150 + 2.86548i) q^{60} +(-8.33752 + 4.81367i) q^{61} +(0.783698 - 1.35741i) q^{62} +(-2.72257 + 7.45571i) q^{63} +2.58434 q^{64} +(-0.919473 + 7.68814i) q^{65} +(-0.104431 + 0.163691i) q^{66} +(-7.50810 - 4.33481i) q^{67} +(3.59097 - 6.21974i) q^{68} +(0.0270654 - 0.610838i) q^{69} +(4.13520 + 1.10697i) q^{70} +(-2.52519 - 4.37375i) q^{71} +(-4.45807 + 6.34930i) q^{72} +1.34712 q^{73} +(-5.47069 + 3.15850i) q^{74} +(-0.310120 - 0.596676i) q^{75} +(-0.364948 + 0.632109i) q^{76} +(0.101796 - 0.380269i) q^{77} +(-4.64256 - 0.764993i) q^{78} -8.43685 q^{79} +(-1.70411 - 0.983871i) q^{80} +(-3.05630 - 8.46517i) q^{81} +(-1.67132 + 0.964939i) q^{82} -13.0612i q^{83} +(1.97634 - 6.25922i) q^{84} +(9.32520 - 5.38391i) q^{85} +1.14245 q^{86} +(-0.705638 + 15.9255i) q^{87} +(0.192386 - 0.333223i) q^{88} +(-10.1144 - 5.83954i) q^{89} +(-4.40184 + 2.04569i) q^{90} +(9.44201 - 1.35955i) q^{91} +0.505637i q^{92} +(-1.66174 - 3.19721i) q^{93} +(7.22062 + 4.16883i) q^{94} +(-0.947716 + 0.547164i) q^{95} +(5.46128 - 8.56028i) q^{96} +(-7.54903 - 13.0753i) q^{97} +(-0.00250974 - 5.27401i) q^{98} +(0.188120 + 0.404790i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 40 q^{4} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 40 q^{4} - 6 q^{9} + 18 q^{15} - 32 q^{16} + 24 q^{22} - 80 q^{25} + 12 q^{28} + 20 q^{30} + 50 q^{36} - 36 q^{37} - 60 q^{39} + 48 q^{43} - 84 q^{46} - 16 q^{49} + 52 q^{51} - 48 q^{58} - 36 q^{63} + 176 q^{64} + 60 q^{67} - 66 q^{72} + 166 q^{78} - 104 q^{79} - 30 q^{81} + 60 q^{84} + 132 q^{85} - 8 q^{91} - 162 q^{93}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.376715 0.652489i 0.266378 0.461380i −0.701546 0.712624i \(-0.747506\pi\)
0.967924 + 0.251244i \(0.0808398\pi\)
\(3\) −0.798779 1.53686i −0.461175 0.887309i
\(4\) 0.716172 + 1.24045i 0.358086 + 0.620223i
\(5\) 2.14750i 0.960391i 0.877161 + 0.480196i \(0.159434\pi\)
−0.877161 + 0.480196i \(0.840566\pi\)
\(6\) −1.30370 0.0577652i −0.532233 0.0235826i
\(7\) 2.55544 0.685379i 0.965864 0.259049i
\(8\) 2.58603 0.914300
\(9\) −1.72391 + 2.45523i −0.574635 + 0.818410i
\(10\) 1.40122 + 0.808996i 0.443105 + 0.255827i
\(11\) 0.0743945 0.128855i 0.0224308 0.0388513i −0.854592 0.519300i \(-0.826193\pi\)
0.877023 + 0.480449i \(0.159526\pi\)
\(12\) 1.33433 2.09150i 0.385189 0.603764i
\(13\) 3.58004 + 0.428160i 0.992924 + 0.118750i
\(14\) 0.515469 1.92559i 0.137765 0.514635i
\(15\) 3.30042 1.71538i 0.852164 0.442909i
\(16\) −0.458147 + 0.793534i −0.114537 + 0.198383i
\(17\) −2.50706 4.34235i −0.608051 1.05317i −0.991561 0.129638i \(-0.958618\pi\)
0.383511 0.923537i \(-0.374715\pi\)
\(18\) 0.952590 + 2.04975i 0.224528 + 0.483131i
\(19\) 0.254791 + 0.441311i 0.0584531 + 0.101244i 0.893771 0.448523i \(-0.148050\pi\)
−0.835318 + 0.549767i \(0.814717\pi\)
\(20\) −2.66386 + 1.53798i −0.595657 + 0.343903i
\(21\) −3.09456 3.37989i −0.675289 0.737553i
\(22\) −0.0560511 0.0970833i −0.0119501 0.0206982i
\(23\) 0.305719 + 0.176507i 0.0637468 + 0.0368042i 0.531535 0.847037i \(-0.321616\pi\)
−0.467788 + 0.883841i \(0.654949\pi\)
\(24\) −2.06567 3.97438i −0.421652 0.811267i
\(25\) 0.388242 0.0776484
\(26\) 1.62802 2.17464i 0.319282 0.426483i
\(27\) 5.15037 + 0.688224i 0.991190 + 0.132449i
\(28\) 2.68031 + 2.67903i 0.506530 + 0.506289i
\(29\) −7.97057 4.60181i −1.48010 0.854535i −0.480351 0.877076i \(-0.659491\pi\)
−0.999746 + 0.0225416i \(0.992824\pi\)
\(30\) 0.124051 2.79970i 0.0226485 0.511152i
\(31\) 2.08035 0.373642 0.186821 0.982394i \(-0.440182\pi\)
0.186821 + 0.982394i \(0.440182\pi\)
\(32\) 2.93121 + 5.07701i 0.518170 + 0.897497i
\(33\) −0.257458 0.0114076i −0.0448176 0.00198581i
\(34\) −3.77778 −0.647885
\(35\) 1.47185 + 5.48780i 0.248788 + 0.927608i
\(36\) −4.28019 0.380045i −0.713365 0.0633409i
\(37\) −7.26104 4.19217i −1.19371 0.689188i −0.234563 0.972101i \(-0.575366\pi\)
−0.959146 + 0.282913i \(0.908699\pi\)
\(38\) 0.383934 0.0622824
\(39\) −2.20164 5.84404i −0.352544 0.935795i
\(40\) 5.55350i 0.878086i
\(41\) −2.21829 1.28073i −0.346438 0.200016i 0.316677 0.948533i \(-0.397433\pi\)
−0.663115 + 0.748517i \(0.730766\pi\)
\(42\) −3.37111 + 0.745913i −0.520174 + 0.115097i
\(43\) 0.758169 + 1.31319i 0.115620 + 0.200259i 0.918027 0.396517i \(-0.129781\pi\)
−0.802408 + 0.596776i \(0.796448\pi\)
\(44\) 0.213117 0.0321286
\(45\) −5.27261 3.70209i −0.785994 0.551875i
\(46\) 0.230338 0.132986i 0.0339614 0.0196076i
\(47\) 11.0663i 1.61418i 0.590428 + 0.807091i \(0.298959\pi\)
−0.590428 + 0.807091i \(0.701041\pi\)
\(48\) 1.58551 + 0.0702520i 0.228849 + 0.0101400i
\(49\) 6.06051 3.50288i 0.865787 0.500412i
\(50\) 0.146257 0.253324i 0.0206838 0.0358254i
\(51\) −4.67102 + 7.32159i −0.654074 + 1.02523i
\(52\) 2.03281 + 4.74748i 0.281901 + 0.658357i
\(53\) 8.83595i 1.21371i 0.794812 + 0.606855i \(0.207569\pi\)
−0.794812 + 0.606855i \(0.792431\pi\)
\(54\) 2.38928 3.10130i 0.325140 0.422033i
\(55\) 0.276716 + 0.159762i 0.0373124 + 0.0215423i
\(56\) 6.60844 1.77241i 0.883089 0.236848i
\(57\) 0.474714 0.744089i 0.0628774 0.0985570i
\(58\) −6.00526 + 3.46714i −0.788530 + 0.455258i
\(59\) 4.86495 2.80878i 0.633363 0.365672i −0.148690 0.988884i \(-0.547506\pi\)
0.782053 + 0.623211i \(0.214172\pi\)
\(60\) 4.49150 + 2.86548i 0.579850 + 0.369932i
\(61\) −8.33752 + 4.81367i −1.06751 + 0.616327i −0.927500 0.373823i \(-0.878047\pi\)
−0.140010 + 0.990150i \(0.544714\pi\)
\(62\) 0.783698 1.35741i 0.0995298 0.172391i
\(63\) −2.72257 + 7.45571i −0.343011 + 0.939331i
\(64\) 2.58434 0.323042
\(65\) −0.919473 + 7.68814i −0.114047 + 0.953596i
\(66\) −0.104431 + 0.163691i −0.0128546 + 0.0201490i
\(67\) −7.50810 4.33481i −0.917261 0.529581i −0.0345007 0.999405i \(-0.510984\pi\)
−0.882760 + 0.469824i \(0.844317\pi\)
\(68\) 3.59097 6.21974i 0.435469 0.754254i
\(69\) 0.0270654 0.610838i 0.00325830 0.0735363i
\(70\) 4.13520 + 1.10697i 0.494251 + 0.132308i
\(71\) −2.52519 4.37375i −0.299685 0.519069i 0.676379 0.736554i \(-0.263548\pi\)
−0.976064 + 0.217485i \(0.930215\pi\)
\(72\) −4.45807 + 6.34930i −0.525389 + 0.748272i
\(73\) 1.34712 0.157668 0.0788340 0.996888i \(-0.474880\pi\)
0.0788340 + 0.996888i \(0.474880\pi\)
\(74\) −5.47069 + 3.15850i −0.635955 + 0.367169i
\(75\) −0.310120 0.596676i −0.0358095 0.0688982i
\(76\) −0.364948 + 0.632109i −0.0418624 + 0.0725079i
\(77\) 0.101796 0.380269i 0.0116007 0.0433357i
\(78\) −4.64256 0.764993i −0.525667 0.0866184i
\(79\) −8.43685 −0.949219 −0.474610 0.880196i \(-0.657411\pi\)
−0.474610 + 0.880196i \(0.657411\pi\)
\(80\) −1.70411 0.983871i −0.190526 0.110000i
\(81\) −3.05630 8.46517i −0.339589 0.940574i
\(82\) −1.67132 + 0.964939i −0.184567 + 0.106560i
\(83\) 13.0612i 1.43365i −0.697253 0.716825i \(-0.745594\pi\)
0.697253 0.716825i \(-0.254406\pi\)
\(84\) 1.97634 6.25922i 0.215636 0.682937i
\(85\) 9.32520 5.38391i 1.01146 0.583967i
\(86\) 1.14245 0.123194
\(87\) −0.705638 + 15.9255i −0.0756524 + 1.70739i
\(88\) 0.192386 0.333223i 0.0205085 0.0355217i
\(89\) −10.1144 5.83954i −1.07212 0.618990i −0.143361 0.989670i \(-0.545791\pi\)
−0.928760 + 0.370681i \(0.879124\pi\)
\(90\) −4.40184 + 2.04569i −0.463995 + 0.215634i
\(91\) 9.44201 1.35955i 0.989792 0.142519i
\(92\) 0.505637i 0.0527163i
\(93\) −1.66174 3.19721i −0.172314 0.331536i
\(94\) 7.22062 + 4.16883i 0.744751 + 0.429982i
\(95\) −0.947716 + 0.547164i −0.0972336 + 0.0561378i
\(96\) 5.46128 8.56028i 0.557390 0.873680i
\(97\) −7.54903 13.0753i −0.766488 1.32760i −0.939456 0.342668i \(-0.888669\pi\)
0.172969 0.984927i \(-0.444664\pi\)
\(98\) −0.00250974 5.27401i −0.000253522 0.532755i
\(99\) 0.188120 + 0.404790i 0.0189067 + 0.0406829i
\(100\) 0.278048 + 0.481593i 0.0278048 + 0.0481593i
\(101\) −1.74563 + 3.02352i −0.173697 + 0.300851i −0.939709 0.341974i \(-0.888905\pi\)
0.766013 + 0.642825i \(0.222238\pi\)
\(102\) 3.01761 + 5.80594i 0.298788 + 0.574874i
\(103\) 7.37422i 0.726603i −0.931672 0.363302i \(-0.881649\pi\)
0.931672 0.363302i \(-0.118351\pi\)
\(104\) 9.25809 + 1.10723i 0.907830 + 0.108573i
\(105\) 7.25832 6.64557i 0.708340 0.648542i
\(106\) 5.76536 + 3.32863i 0.559982 + 0.323306i
\(107\) 3.99629 + 2.30726i 0.386336 + 0.223051i 0.680572 0.732682i \(-0.261732\pi\)
−0.294235 + 0.955733i \(0.595065\pi\)
\(108\) 2.83485 + 6.88165i 0.272783 + 0.662187i
\(109\) 7.61016i 0.728921i −0.931219 0.364461i \(-0.881253\pi\)
0.931219 0.364461i \(-0.118747\pi\)
\(110\) 0.208486 0.120370i 0.0198784 0.0114768i
\(111\) −0.642824 + 14.5079i −0.0610142 + 1.37702i
\(112\) −0.626894 + 2.34183i −0.0592359 + 0.221282i
\(113\) 15.8993 9.17948i 1.49568 0.863533i 0.495695 0.868497i \(-0.334913\pi\)
0.999988 + 0.00496375i \(0.00158002\pi\)
\(114\) −0.306679 0.590055i −0.0287231 0.0552637i
\(115\) −0.379048 + 0.656531i −0.0353465 + 0.0612219i
\(116\) 13.1827i 1.22399i
\(117\) −7.22288 + 8.05171i −0.667755 + 0.744381i
\(118\) 4.23244i 0.389628i
\(119\) −9.38278 9.37832i −0.860118 0.859709i
\(120\) 8.53498 4.43602i 0.779133 0.404951i
\(121\) 5.48893 + 9.50711i 0.498994 + 0.864282i
\(122\) 7.25353i 0.656703i
\(123\) −0.196386 + 4.43222i −0.0177075 + 0.399640i
\(124\) 1.48989 + 2.58056i 0.133796 + 0.231741i
\(125\) 11.5713i 1.03496i
\(126\) 3.83914 + 4.58513i 0.342018 + 0.408475i
\(127\) −3.54092 + 6.13305i −0.314206 + 0.544220i −0.979268 0.202567i \(-0.935072\pi\)
0.665063 + 0.746788i \(0.268405\pi\)
\(128\) −4.88886 + 8.46776i −0.432119 + 0.748452i
\(129\) 1.41258 2.21415i 0.124371 0.194945i
\(130\) 4.67005 + 3.49618i 0.409590 + 0.306635i
\(131\) 5.44242 0.475506 0.237753 0.971326i \(-0.423589\pi\)
0.237753 + 0.971326i \(0.423589\pi\)
\(132\) −0.170233 0.327532i −0.0148169 0.0285080i
\(133\) 0.953568 + 0.953114i 0.0826848 + 0.0826455i
\(134\) −5.65683 + 3.26597i −0.488676 + 0.282137i
\(135\) −1.47796 + 11.0604i −0.127203 + 0.951930i
\(136\) −6.48333 11.2295i −0.555941 0.962918i
\(137\) −7.56897 13.1098i −0.646660 1.12005i −0.983915 0.178635i \(-0.942832\pi\)
0.337255 0.941413i \(-0.390502\pi\)
\(138\) −0.388370 0.247772i −0.0330602 0.0210917i
\(139\) −13.7562 + 7.94214i −1.16678 + 0.673644i −0.952921 0.303220i \(-0.901938\pi\)
−0.213864 + 0.976863i \(0.568605\pi\)
\(140\) −5.75322 + 5.75596i −0.486236 + 0.486467i
\(141\) 17.0074 8.83950i 1.43228 0.744420i
\(142\) −3.80510 −0.319317
\(143\) 0.321506 0.429453i 0.0268857 0.0359127i
\(144\) −1.15851 2.49283i −0.0965421 0.207736i
\(145\) 9.88239 17.1168i 0.820688 1.42147i
\(146\) 0.507478 0.878978i 0.0419992 0.0727448i
\(147\) −10.2245 6.51616i −0.843300 0.537444i
\(148\) 12.0092i 0.987154i
\(149\) 0.762114 + 1.32002i 0.0624348 + 0.108140i 0.895553 0.444954i \(-0.146780\pi\)
−0.833118 + 0.553095i \(0.813447\pi\)
\(150\) −0.506151 0.0224269i −0.0413271 0.00183115i
\(151\) 11.0258i 0.897265i 0.893716 + 0.448633i \(0.148089\pi\)
−0.893716 + 0.448633i \(0.851911\pi\)
\(152\) 0.658897 + 1.14124i 0.0534436 + 0.0925671i
\(153\) 14.9834 + 1.33040i 1.21134 + 0.107557i
\(154\) −0.209774 0.209674i −0.0169040 0.0168960i
\(155\) 4.46755i 0.358842i
\(156\) 5.67246 6.91634i 0.454161 0.553751i
\(157\) 7.62530i 0.608565i 0.952582 + 0.304282i \(0.0984167\pi\)
−0.952582 + 0.304282i \(0.901583\pi\)
\(158\) −3.17829 + 5.50495i −0.252851 + 0.437951i
\(159\) 13.5797 7.05797i 1.07694 0.559733i
\(160\) −10.9029 + 6.29478i −0.861948 + 0.497646i
\(161\) 0.902219 + 0.241519i 0.0711048 + 0.0190343i
\(162\) −6.67479 1.19475i −0.524421 0.0938685i
\(163\) −2.90418 + 1.67673i −0.227473 + 0.131331i −0.609406 0.792859i \(-0.708592\pi\)
0.381933 + 0.924190i \(0.375259\pi\)
\(164\) 3.66889i 0.286492i
\(165\) 0.0244978 0.552890i 0.00190715 0.0430424i
\(166\) −8.52228 4.92034i −0.661458 0.381893i
\(167\) 8.20885 + 4.73938i 0.635220 + 0.366744i 0.782771 0.622310i \(-0.213806\pi\)
−0.147551 + 0.989054i \(0.547139\pi\)
\(168\) −8.00263 8.74051i −0.617417 0.674345i
\(169\) 12.6334 + 3.06566i 0.971797 + 0.235820i
\(170\) 8.11279i 0.622223i
\(171\) −1.52276 0.135208i −0.116448 0.0103396i
\(172\) −1.08596 + 1.88093i −0.0828035 + 0.143420i
\(173\) 4.39313 + 7.60912i 0.334003 + 0.578511i 0.983293 0.182031i \(-0.0582670\pi\)
−0.649290 + 0.760541i \(0.724934\pi\)
\(174\) 10.1254 + 6.45980i 0.767605 + 0.489716i
\(175\) 0.992128 0.266093i 0.0749978 0.0201147i
\(176\) 0.0681672 + 0.118069i 0.00513830 + 0.00889979i
\(177\) −8.20274 5.23318i −0.616556 0.393350i
\(178\) −7.62047 + 4.39968i −0.571179 + 0.329770i
\(179\) 19.0241 + 10.9836i 1.42193 + 0.820949i 0.996463 0.0840270i \(-0.0267782\pi\)
0.425462 + 0.904976i \(0.360112\pi\)
\(180\) 0.816148 9.19171i 0.0608321 0.685110i
\(181\) 24.1863i 1.79776i −0.438199 0.898878i \(-0.644383\pi\)
0.438199 0.898878i \(-0.355617\pi\)
\(182\) 2.66986 6.67298i 0.197903 0.494634i
\(183\) 14.0578 + 8.96858i 1.03918 + 0.662977i
\(184\) 0.790598 + 0.456452i 0.0582837 + 0.0336501i
\(185\) 9.00268 15.5931i 0.661890 1.14643i
\(186\) −2.71215 0.120172i −0.198864 0.00881142i
\(187\) −0.746045 −0.0545562
\(188\) −13.7271 + 7.92535i −1.00115 + 0.578015i
\(189\) 13.6331 1.77124i 0.991666 0.128839i
\(190\) 0.824499i 0.0598155i
\(191\) 14.9450 8.62850i 1.08138 0.624336i 0.150113 0.988669i \(-0.452036\pi\)
0.931269 + 0.364333i \(0.118703\pi\)
\(192\) −2.06431 3.97178i −0.148979 0.286638i
\(193\) 0.745308 + 0.430304i 0.0536484 + 0.0309739i 0.526584 0.850123i \(-0.323472\pi\)
−0.472936 + 0.881097i \(0.656806\pi\)
\(194\) −11.3753 −0.816701
\(195\) 12.5501 4.72801i 0.898730 0.338580i
\(196\) 8.68550 + 5.00907i 0.620393 + 0.357791i
\(197\) −6.66147 + 11.5380i −0.474610 + 0.822049i −0.999577 0.0290738i \(-0.990744\pi\)
0.524967 + 0.851122i \(0.324078\pi\)
\(198\) 0.334988 + 0.0297442i 0.0238066 + 0.00211383i
\(199\) 13.8996 8.02495i 0.985318 0.568873i 0.0814462 0.996678i \(-0.474046\pi\)
0.903871 + 0.427804i \(0.140713\pi\)
\(200\) 1.00401 0.0709939
\(201\) −0.664696 + 15.0015i −0.0468841 + 1.05812i
\(202\) 1.31521 + 2.27801i 0.0925378 + 0.160280i
\(203\) −23.5223 6.29677i −1.65094 0.441947i
\(204\) −12.4273 0.550637i −0.870084 0.0385523i
\(205\) 2.75036 4.76377i 0.192094 0.332716i
\(206\) −4.81160 2.77798i −0.335240 0.193551i
\(207\) −0.960395 + 0.446329i −0.0667521 + 0.0310220i
\(208\) −1.97994 + 2.64472i −0.137284 + 0.183378i
\(209\) 0.0758202 0.00524459
\(210\) −1.60185 7.23947i −0.110538 0.499571i
\(211\) −5.47645 + 9.48549i −0.377014 + 0.653008i −0.990626 0.136600i \(-0.956383\pi\)
0.613612 + 0.789608i \(0.289716\pi\)
\(212\) −10.9605 + 6.32806i −0.752771 + 0.434613i
\(213\) −4.70480 + 7.37453i −0.322368 + 0.505295i
\(214\) 3.01093 1.73836i 0.205823 0.118832i
\(215\) −2.82007 + 1.62817i −0.192327 + 0.111040i
\(216\) 13.3190 + 1.77977i 0.906245 + 0.121098i
\(217\) 5.31620 1.42583i 0.360887 0.0967914i
\(218\) −4.96555 2.86686i −0.336309 0.194168i
\(219\) −1.07605 2.07033i −0.0727125 0.139900i
\(220\) 0.457669i 0.0308560i
\(221\) −7.11615 16.6192i −0.478684 1.11793i
\(222\) 9.22406 + 5.88476i 0.619078 + 0.394959i
\(223\) −0.642293 + 1.11248i −0.0430111 + 0.0744974i −0.886730 0.462289i \(-0.847028\pi\)
0.843718 + 0.536786i \(0.180362\pi\)
\(224\) 10.9702 + 10.9650i 0.732977 + 0.732629i
\(225\) −0.669293 + 0.953223i −0.0446195 + 0.0635482i
\(226\) 13.8322i 0.920104i
\(227\) −10.4067 + 6.00833i −0.690719 + 0.398787i −0.803881 0.594790i \(-0.797235\pi\)
0.113163 + 0.993576i \(0.463902\pi\)
\(228\) 1.26298 + 0.0559609i 0.0836428 + 0.00370610i
\(229\) −22.9264 −1.51502 −0.757510 0.652824i \(-0.773584\pi\)
−0.757510 + 0.652824i \(0.773584\pi\)
\(230\) 0.285586 + 0.494650i 0.0188310 + 0.0326163i
\(231\) −0.665735 + 0.147305i −0.0438021 + 0.00969193i
\(232\) −20.6121 11.9004i −1.35325 0.781301i
\(233\) 12.2291i 0.801157i 0.916262 + 0.400579i \(0.131191\pi\)
−0.916262 + 0.400579i \(0.868809\pi\)
\(234\) 2.53269 + 7.74605i 0.165567 + 0.506375i
\(235\) −23.7648 −1.55025
\(236\) 6.96828 + 4.02314i 0.453597 + 0.261884i
\(237\) 6.73917 + 12.9663i 0.437756 + 0.842251i
\(238\) −9.65389 + 2.58921i −0.625769 + 0.167834i
\(239\) 10.9221 0.706492 0.353246 0.935531i \(-0.385078\pi\)
0.353246 + 0.935531i \(0.385078\pi\)
\(240\) −0.150866 + 3.40489i −0.00973836 + 0.219785i
\(241\) 1.23733 + 2.14312i 0.0797036 + 0.138051i 0.903122 0.429384i \(-0.141269\pi\)
−0.823418 + 0.567435i \(0.807936\pi\)
\(242\) 8.27105 0.531683
\(243\) −10.5685 + 11.4589i −0.677970 + 0.735090i
\(244\) −11.9422 6.89483i −0.764521 0.441396i
\(245\) 7.52245 + 13.0150i 0.480591 + 0.831495i
\(246\) 2.81800 + 1.79783i 0.179669 + 0.114625i
\(247\) 0.723210 + 1.68900i 0.0460168 + 0.107469i
\(248\) 5.37984 0.341620
\(249\) −20.0733 + 10.4330i −1.27209 + 0.661164i
\(250\) 7.55012 + 4.35906i 0.477512 + 0.275691i
\(251\) −1.39597 2.41788i −0.0881126 0.152615i 0.818601 0.574363i \(-0.194750\pi\)
−0.906713 + 0.421748i \(0.861417\pi\)
\(252\) −11.1982 + 1.96237i −0.705422 + 0.123618i
\(253\) 0.0454876 0.0262623i 0.00285978 0.00165110i
\(254\) 2.66783 + 4.62082i 0.167395 + 0.289936i
\(255\) −15.7231 10.0310i −0.984619 0.628167i
\(256\) 6.26776 + 10.8561i 0.391735 + 0.678504i
\(257\) 4.13618 7.16408i 0.258008 0.446883i −0.707700 0.706513i \(-0.750267\pi\)
0.965708 + 0.259630i \(0.0836006\pi\)
\(258\) −0.912568 1.75580i −0.0568140 0.109311i
\(259\) −21.4284 5.73625i −1.33149 0.356433i
\(260\) −10.1952 + 4.36547i −0.632280 + 0.270735i
\(261\) 25.0390 11.6365i 1.54988 0.720280i
\(262\) 2.05024 3.55112i 0.126664 0.219389i
\(263\) 8.72911 + 5.03975i 0.538260 + 0.310764i 0.744373 0.667764i \(-0.232748\pi\)
−0.206114 + 0.978528i \(0.566082\pi\)
\(264\) −0.665793 0.0295004i −0.0409767 0.00181563i
\(265\) −18.9752 −1.16564
\(266\) 0.981120 0.263141i 0.0601563 0.0161342i
\(267\) −0.895431 + 20.2089i −0.0547995 + 1.23677i
\(268\) 12.4179i 0.758542i
\(269\) 6.77848 + 11.7407i 0.413291 + 0.715841i 0.995247 0.0973790i \(-0.0310459\pi\)
−0.581956 + 0.813220i \(0.697713\pi\)
\(270\) 6.66004 + 5.13098i 0.405317 + 0.312262i
\(271\) 13.3601 23.1403i 0.811566 1.40567i −0.100202 0.994967i \(-0.531949\pi\)
0.911768 0.410706i \(-0.134718\pi\)
\(272\) 4.59440 0.278577
\(273\) −9.63152 13.4251i −0.582926 0.812525i
\(274\) −11.4054 −0.689024
\(275\) 0.0288831 0.0500270i 0.00174172 0.00301674i
\(276\) 0.777095 0.403892i 0.0467756 0.0243114i
\(277\) −2.38167 4.12517i −0.143101 0.247857i 0.785562 0.618783i \(-0.212374\pi\)
−0.928663 + 0.370925i \(0.879041\pi\)
\(278\) 11.9677i 0.717775i
\(279\) −3.58632 + 5.10773i −0.214708 + 0.305792i
\(280\) 3.80625 + 14.1916i 0.227467 + 0.848111i
\(281\) 16.0967 0.960251 0.480126 0.877200i \(-0.340591\pi\)
0.480126 + 0.877200i \(0.340591\pi\)
\(282\) 0.639246 14.4271i 0.0380665 0.859121i
\(283\) 20.4031 + 11.7798i 1.21284 + 0.700234i 0.963377 0.268151i \(-0.0864125\pi\)
0.249463 + 0.968384i \(0.419746\pi\)
\(284\) 3.61694 6.26472i 0.214626 0.371743i
\(285\) 1.59793 + 1.01945i 0.0946533 + 0.0603869i
\(286\) −0.159098 0.371561i −0.00940765 0.0219708i
\(287\) −6.54647 1.75245i −0.386426 0.103444i
\(288\) −17.5184 1.55548i −1.03228 0.0916578i
\(289\) −4.07068 + 7.05062i −0.239452 + 0.414742i
\(290\) −7.44569 12.8963i −0.437226 0.757297i
\(291\) −14.0650 + 22.0461i −0.824503 + 1.29237i
\(292\) 0.964766 + 1.67102i 0.0564586 + 0.0977892i
\(293\) −1.40274 + 0.809875i −0.0819492 + 0.0473134i −0.540415 0.841399i \(-0.681733\pi\)
0.458465 + 0.888712i \(0.348399\pi\)
\(294\) −8.10343 + 4.21662i −0.472602 + 0.245918i
\(295\) 6.03186 + 10.4475i 0.351189 + 0.608276i
\(296\) −18.7773 10.8411i −1.09141 0.630124i
\(297\) 0.471841 0.612452i 0.0273790 0.0355380i
\(298\) 1.14840 0.0665250
\(299\) 1.01891 + 0.762798i 0.0589252 + 0.0441137i
\(300\) 0.518045 0.812009i 0.0299093 0.0468813i
\(301\) 2.83748 + 2.83613i 0.163550 + 0.163472i
\(302\) 7.19421 + 4.15358i 0.413980 + 0.239012i
\(303\) 6.04111 + 0.267674i 0.347053 + 0.0153774i
\(304\) −0.466927 −0.0267801
\(305\) −10.3374 17.9048i −0.591915 1.02523i
\(306\) 6.51254 9.27533i 0.372297 0.530235i
\(307\) 7.28075 0.415534 0.207767 0.978178i \(-0.433380\pi\)
0.207767 + 0.978178i \(0.433380\pi\)
\(308\) 0.544607 0.146066i 0.0310319 0.00832287i
\(309\) −11.3332 + 5.89037i −0.644722 + 0.335091i
\(310\) 2.91503 + 1.68299i 0.165562 + 0.0955875i
\(311\) −26.7324 −1.51585 −0.757926 0.652340i \(-0.773787\pi\)
−0.757926 + 0.652340i \(0.773787\pi\)
\(312\) −5.69350 15.1129i −0.322331 0.855597i
\(313\) 26.7854i 1.51400i 0.653413 + 0.757001i \(0.273336\pi\)
−0.653413 + 0.757001i \(0.726664\pi\)
\(314\) 4.97543 + 2.87256i 0.280780 + 0.162108i
\(315\) −16.0111 5.84672i −0.902126 0.329425i
\(316\) −6.04223 10.4654i −0.339902 0.588728i
\(317\) −2.68127 −0.150595 −0.0752974 0.997161i \(-0.523991\pi\)
−0.0752974 + 0.997161i \(0.523991\pi\)
\(318\) 0.510411 11.5194i 0.0286224 0.645977i
\(319\) −1.18593 + 0.684699i −0.0663995 + 0.0383358i
\(320\) 5.54987i 0.310247i
\(321\) 0.353794 7.98475i 0.0197469 0.445665i
\(322\) 0.497468 0.497705i 0.0277228 0.0277360i
\(323\) 1.27755 2.21278i 0.0710849 0.123123i
\(324\) 8.31174 9.85369i 0.461763 0.547427i
\(325\) 1.38992 + 0.166230i 0.0770990 + 0.00922076i
\(326\) 2.52659i 0.139935i
\(327\) −11.6958 + 6.07883i −0.646778 + 0.336160i
\(328\) −5.73656 3.31200i −0.316748 0.182875i
\(329\) 7.58459 + 28.2792i 0.418152 + 1.55908i
\(330\) −0.351526 0.224267i −0.0193509 0.0123455i
\(331\) 21.8697 12.6265i 1.20207 0.694014i 0.241053 0.970512i \(-0.422507\pi\)
0.961015 + 0.276498i \(0.0891738\pi\)
\(332\) 16.2017 9.35405i 0.889183 0.513370i
\(333\) 22.8101 10.6006i 1.24998 0.580911i
\(334\) 6.18479 3.57079i 0.338417 0.195385i
\(335\) 9.30900 16.1237i 0.508605 0.880929i
\(336\) 4.09982 0.907152i 0.223664 0.0494892i
\(337\) −7.83704 −0.426911 −0.213456 0.976953i \(-0.568472\pi\)
−0.213456 + 0.976953i \(0.568472\pi\)
\(338\) 6.75948 7.08826i 0.367667 0.385550i
\(339\) −26.8077 17.1027i −1.45599 0.928893i
\(340\) 13.3569 + 7.71160i 0.724379 + 0.418220i
\(341\) 0.154766 0.268063i 0.00838107 0.0145164i
\(342\) −0.661867 + 0.942647i −0.0357896 + 0.0509725i
\(343\) 13.0864 13.1051i 0.706602 0.707611i
\(344\) 1.96065 + 3.39594i 0.105711 + 0.183097i
\(345\) 1.31178 + 0.0581230i 0.0706236 + 0.00312924i
\(346\) 6.61983 0.355884
\(347\) −20.1776 + 11.6496i −1.08319 + 0.625381i −0.931755 0.363086i \(-0.881723\pi\)
−0.151436 + 0.988467i \(0.548390\pi\)
\(348\) −20.2601 + 10.5301i −1.08605 + 0.564472i
\(349\) −14.2279 + 24.6435i −0.761603 + 1.31914i 0.180421 + 0.983589i \(0.442254\pi\)
−0.942024 + 0.335546i \(0.891079\pi\)
\(350\) 0.200127 0.747594i 0.0106972 0.0399606i
\(351\) 18.1439 + 4.66905i 0.968448 + 0.249216i
\(352\) 0.872264 0.0464918
\(353\) 3.55134 + 2.05037i 0.189019 + 0.109130i 0.591523 0.806288i \(-0.298527\pi\)
−0.402504 + 0.915418i \(0.631860\pi\)
\(354\) −6.50469 + 3.38078i −0.345720 + 0.179687i
\(355\) 9.39264 5.42284i 0.498509 0.287815i
\(356\) 16.7284i 0.886606i
\(357\) −6.91844 + 21.9113i −0.366163 + 1.15967i
\(358\) 14.3333 8.27534i 0.757539 0.437365i
\(359\) −21.5890 −1.13942 −0.569711 0.821845i \(-0.692945\pi\)
−0.569711 + 0.821845i \(0.692945\pi\)
\(360\) −13.6351 9.57371i −0.718634 0.504579i
\(361\) 9.37016 16.2296i 0.493166 0.854189i
\(362\) −15.7813 9.11135i −0.829448 0.478882i
\(363\) 10.2267 16.0298i 0.536762 0.841347i
\(364\) 8.44855 + 10.7386i 0.442824 + 0.562857i
\(365\) 2.89293i 0.151423i
\(366\) 11.1477 5.79396i 0.582699 0.302855i
\(367\) 16.9349 + 9.77736i 0.883994 + 0.510374i 0.871973 0.489554i \(-0.162840\pi\)
0.0120206 + 0.999928i \(0.496174\pi\)
\(368\) −0.280128 + 0.161732i −0.0146027 + 0.00843087i
\(369\) 6.96860 3.23855i 0.362771 0.168592i
\(370\) −6.78289 11.7483i −0.352626 0.610765i
\(371\) 6.05597 + 22.5797i 0.314410 + 1.17228i
\(372\) 2.77588 4.35105i 0.143923 0.225591i
\(373\) 17.6230 + 30.5239i 0.912484 + 1.58047i 0.810543 + 0.585679i \(0.199172\pi\)
0.101941 + 0.994790i \(0.467495\pi\)
\(374\) −0.281046 + 0.486787i −0.0145326 + 0.0251711i
\(375\) 17.7834 9.24287i 0.918333 0.477300i
\(376\) 28.6177i 1.47585i
\(377\) −26.5646 19.8873i −1.36815 1.02425i
\(378\) 3.98009 9.56274i 0.204714 0.491854i
\(379\) 2.50055 + 1.44369i 0.128445 + 0.0741575i 0.562846 0.826562i \(-0.309707\pi\)
−0.434401 + 0.900720i \(0.643040\pi\)
\(380\) −1.35745 0.783726i −0.0696359 0.0402043i
\(381\) 12.2541 + 0.542962i 0.627796 + 0.0278168i
\(382\) 13.0019i 0.665237i
\(383\) 25.8600 14.9303i 1.32139 0.762903i 0.337437 0.941348i \(-0.390440\pi\)
0.983950 + 0.178445i \(0.0571068\pi\)
\(384\) 16.9189 + 0.749655i 0.863390 + 0.0382557i
\(385\) 0.816629 + 0.218607i 0.0416192 + 0.0111412i
\(386\) 0.561537 0.324204i 0.0285815 0.0165015i
\(387\) −4.53118 0.402332i −0.230333 0.0204517i
\(388\) 10.8128 18.7283i 0.548937 0.950786i
\(389\) 6.55250i 0.332225i −0.986107 0.166112i \(-0.946879\pi\)
0.986107 0.166112i \(-0.0531215\pi\)
\(390\) 1.64282 9.96991i 0.0831876 0.504846i
\(391\) 1.77005i 0.0895153i
\(392\) 15.6727 9.05857i 0.791589 0.457527i
\(393\) −4.34729 8.36426i −0.219292 0.421921i
\(394\) 5.01895 + 8.69308i 0.252851 + 0.437951i
\(395\) 18.1181i 0.911622i
\(396\) −0.367393 + 0.523251i −0.0184622 + 0.0262943i
\(397\) −11.8315 20.4927i −0.593805 1.02850i −0.993714 0.111945i \(-0.964292\pi\)
0.399910 0.916555i \(-0.369041\pi\)
\(398\) 12.0925i 0.606141i
\(399\) 0.703118 2.22683i 0.0351999 0.111481i
\(400\) −0.177872 + 0.308083i −0.00889360 + 0.0154042i
\(401\) 9.84991 17.0605i 0.491881 0.851963i −0.508075 0.861313i \(-0.669643\pi\)
0.999956 + 0.00934998i \(0.00297624\pi\)
\(402\) 9.53791 + 6.08499i 0.475708 + 0.303492i
\(403\) 7.44773 + 0.890721i 0.370998 + 0.0443700i
\(404\) −5.00068 −0.248793
\(405\) 18.1789 6.56341i 0.903319 0.326138i
\(406\) −12.9698 + 12.9759i −0.643679 + 0.643985i
\(407\) −1.08036 + 0.623748i −0.0535516 + 0.0309181i
\(408\) −12.0794 + 18.9338i −0.598020 + 0.937365i
\(409\) 2.27209 + 3.93537i 0.112347 + 0.194592i 0.916716 0.399539i \(-0.130830\pi\)
−0.804369 + 0.594130i \(0.797496\pi\)
\(410\) −2.07221 3.58917i −0.102339 0.177256i
\(411\) −14.1021 + 22.1043i −0.695606 + 1.09033i
\(412\) 9.14732 5.28121i 0.450656 0.260186i
\(413\) 10.5070 10.5120i 0.517016 0.517262i
\(414\) −0.0705704 + 0.794786i −0.00346835 + 0.0390616i
\(415\) 28.0489 1.37687
\(416\) 8.32008 + 19.4309i 0.407926 + 0.952679i
\(417\) 23.1941 + 14.7974i 1.13582 + 0.724631i
\(418\) 0.0285626 0.0494719i 0.00139704 0.00241975i
\(419\) −17.0626 + 29.5532i −0.833561 + 1.44377i 0.0616361 + 0.998099i \(0.480368\pi\)
−0.895197 + 0.445671i \(0.852965\pi\)
\(420\) 13.4417 + 4.24418i 0.655887 + 0.207095i
\(421\) 17.4909i 0.852456i 0.904616 + 0.426228i \(0.140158\pi\)
−0.904616 + 0.426228i \(0.859842\pi\)
\(422\) 4.12612 + 7.14665i 0.200856 + 0.347893i
\(423\) −27.1702 19.0772i −1.32106 0.927565i
\(424\) 22.8500i 1.10970i
\(425\) −0.973345 1.68588i −0.0472142 0.0817774i
\(426\) 3.03944 + 5.84793i 0.147261 + 0.283333i
\(427\) −18.0068 + 18.0154i −0.871411 + 0.871826i
\(428\) 6.60958i 0.319486i
\(429\) −0.916824 0.151073i −0.0442647 0.00729385i
\(430\) 2.45342i 0.118314i
\(431\) 2.68454 4.64976i 0.129310 0.223971i −0.794100 0.607788i \(-0.792057\pi\)
0.923409 + 0.383817i \(0.125390\pi\)
\(432\) −2.90576 + 3.77169i −0.139803 + 0.181465i
\(433\) −7.68452 + 4.43666i −0.369295 + 0.213212i −0.673150 0.739506i \(-0.735059\pi\)
0.303856 + 0.952718i \(0.401726\pi\)
\(434\) 1.07235 4.00589i 0.0514747 0.192289i
\(435\) −34.2000 1.51536i −1.63977 0.0726559i
\(436\) 9.43999 5.45018i 0.452094 0.261016i
\(437\) 0.179889i 0.00860528i
\(438\) −1.75623 0.0778164i −0.0839161 0.00371821i
\(439\) 2.96203 + 1.71013i 0.141370 + 0.0816201i 0.569017 0.822326i \(-0.307324\pi\)
−0.427647 + 0.903946i \(0.640657\pi\)
\(440\) 0.715597 + 0.413150i 0.0341147 + 0.0196962i
\(441\) −1.84736 + 20.9186i −0.0879697 + 0.996123i
\(442\) −13.5246 1.61749i −0.643300 0.0769364i
\(443\) 24.7430i 1.17558i −0.809015 0.587788i \(-0.799999\pi\)
0.809015 0.587788i \(-0.200001\pi\)
\(444\) −18.4566 + 9.59273i −0.875910 + 0.455251i
\(445\) 12.5404 21.7206i 0.594472 1.02966i
\(446\) 0.483922 + 0.838178i 0.0229144 + 0.0396889i
\(447\) 1.41993 2.22567i 0.0671605 0.105271i
\(448\) 6.60411 1.77125i 0.312015 0.0836837i
\(449\) −8.86708 15.3582i −0.418463 0.724800i 0.577322 0.816517i \(-0.304098\pi\)
−0.995785 + 0.0917168i \(0.970765\pi\)
\(450\) 0.369836 + 0.795800i 0.0174342 + 0.0375144i
\(451\) −0.330057 + 0.190558i −0.0155418 + 0.00897304i
\(452\) 22.7733 + 13.1482i 1.07117 + 0.618438i
\(453\) 16.9451 8.80716i 0.796152 0.413796i
\(454\) 9.05370i 0.424911i
\(455\) 2.91963 + 20.2767i 0.136874 + 0.950588i
\(456\) 1.22762 1.92424i 0.0574888 0.0901107i
\(457\) 4.67657 + 2.70002i 0.218761 + 0.126302i 0.605376 0.795939i \(-0.293023\pi\)
−0.386616 + 0.922241i \(0.626356\pi\)
\(458\) −8.63672 + 14.9592i −0.403567 + 0.698999i
\(459\) −9.92377 24.0901i −0.463202 1.12443i
\(460\) −1.08586 −0.0506283
\(461\) −13.4079 + 7.74108i −0.624470 + 0.360538i −0.778607 0.627512i \(-0.784074\pi\)
0.154137 + 0.988049i \(0.450740\pi\)
\(462\) −0.154678 + 0.489877i −0.00719626 + 0.0227911i
\(463\) 7.92901i 0.368492i 0.982880 + 0.184246i \(0.0589844\pi\)
−0.982880 + 0.184246i \(0.941016\pi\)
\(464\) 7.30338 4.21661i 0.339051 0.195751i
\(465\) 6.86602 3.56858i 0.318404 0.165489i
\(466\) 7.97938 + 4.60690i 0.369638 + 0.213410i
\(467\) 31.4968 1.45750 0.728749 0.684781i \(-0.240102\pi\)
0.728749 + 0.684781i \(0.240102\pi\)
\(468\) −15.1605 3.19318i −0.700796 0.147605i
\(469\) −22.1575 5.93143i −1.02314 0.273888i
\(470\) −8.95256 + 15.5063i −0.412951 + 0.715252i
\(471\) 11.7190 6.09092i 0.539985 0.280655i
\(472\) 12.5809 7.26360i 0.579084 0.334334i
\(473\) 0.225614 0.0103738
\(474\) 10.9991 + 0.487356i 0.505206 + 0.0223850i
\(475\) 0.0989206 + 0.171336i 0.00453879 + 0.00786141i
\(476\) 4.91361 18.3553i 0.225215 0.841315i
\(477\) −21.6943 15.2323i −0.993313 0.697441i
\(478\) 4.11452 7.12655i 0.188194 0.325961i
\(479\) 27.9389 + 16.1305i 1.27656 + 0.737022i 0.976214 0.216809i \(-0.0695648\pi\)
0.300345 + 0.953831i \(0.402898\pi\)
\(480\) 18.3832 + 11.7281i 0.839075 + 0.535313i
\(481\) −24.1999 18.1170i −1.10342 0.826064i
\(482\) 1.86449 0.0849251
\(483\) −0.349492 1.57951i −0.0159024 0.0718701i
\(484\) −7.86203 + 13.6174i −0.357365 + 0.618975i
\(485\) 28.0792 16.2115i 1.27501 0.736128i
\(486\) 3.49551 + 11.2126i 0.158559 + 0.508613i
\(487\) 14.2336 8.21776i 0.644985 0.372382i −0.141547 0.989931i \(-0.545208\pi\)
0.786532 + 0.617549i \(0.211874\pi\)
\(488\) −21.5611 + 12.4483i −0.976024 + 0.563508i
\(489\) 4.89670 + 3.12399i 0.221436 + 0.141272i
\(490\) 11.3259 0.00538967i 0.511654 0.000243481i
\(491\) −15.0241 8.67419i −0.678030 0.391461i 0.121082 0.992642i \(-0.461363\pi\)
−0.799112 + 0.601182i \(0.794697\pi\)
\(492\) −5.63858 + 2.93063i −0.254207 + 0.132123i
\(493\) 46.1480i 2.07840i
\(494\) 1.37450 + 0.164385i 0.0618417 + 0.00739604i
\(495\) −0.869286 + 0.403987i −0.0390715 + 0.0181579i
\(496\) −0.953105 + 1.65083i −0.0427957 + 0.0741243i
\(497\) −9.45063 9.44614i −0.423919 0.423717i
\(498\) −0.754482 + 17.0279i −0.0338092 + 0.763037i
\(499\) 37.0787i 1.65987i −0.557858 0.829936i \(-0.688377\pi\)
0.557858 0.829936i \(-0.311623\pi\)
\(500\) −14.3535 + 8.28700i −0.641908 + 0.370606i
\(501\) 0.726734 16.4016i 0.0324681 0.732770i
\(502\) −2.10353 −0.0938849
\(503\) 3.28734 + 5.69384i 0.146575 + 0.253876i 0.929959 0.367662i \(-0.119842\pi\)
−0.783384 + 0.621538i \(0.786508\pi\)
\(504\) −7.04064 + 19.2807i −0.313615 + 0.858830i
\(505\) −6.49301 3.74874i −0.288935 0.166817i
\(506\) 0.0395736i 0.00175926i
\(507\) −5.37976 21.8645i −0.238923 0.971038i
\(508\) −10.1436 −0.450050
\(509\) −27.1589 15.6802i −1.20380 0.695014i −0.242401 0.970176i \(-0.577935\pi\)
−0.961398 + 0.275162i \(0.911268\pi\)
\(510\) −12.4683 + 6.48033i −0.552104 + 0.286954i
\(511\) 3.44247 0.923284i 0.152286 0.0408437i
\(512\) −10.1108 −0.446840
\(513\) 1.00855 + 2.44827i 0.0445285 + 0.108094i
\(514\) −3.11632 5.39763i −0.137455 0.238079i
\(515\) 15.8361 0.697824
\(516\) 3.75818 + 0.166520i 0.165445 + 0.00733064i
\(517\) 1.42594 + 0.823270i 0.0627130 + 0.0362074i
\(518\) −11.8152 + 11.8209i −0.519131 + 0.519378i
\(519\) 8.18505 12.8296i 0.359284 0.563159i
\(520\) −2.37778 + 19.8818i −0.104273 + 0.871872i
\(521\) 19.9297 0.873138 0.436569 0.899671i \(-0.356194\pi\)
0.436569 + 0.899671i \(0.356194\pi\)
\(522\) 1.83988 20.7213i 0.0805294 0.906948i
\(523\) 24.3599 + 14.0642i 1.06519 + 0.614985i 0.926862 0.375402i \(-0.122495\pi\)
0.138323 + 0.990387i \(0.455829\pi\)
\(524\) 3.89771 + 6.75102i 0.170272 + 0.294920i
\(525\) −1.20144 1.31222i −0.0524351 0.0572699i
\(526\) 6.57677 3.79710i 0.286761 0.165561i
\(527\) −5.21555 9.03360i −0.227193 0.393510i
\(528\) 0.127006 0.199075i 0.00552721 0.00866362i
\(529\) −11.4377 19.8107i −0.497291 0.861333i
\(530\) −7.14824 + 12.3811i −0.310500 + 0.537802i
\(531\) −1.49052 + 16.7867i −0.0646829 + 0.728479i
\(532\) −0.499368 + 1.86544i −0.0216503 + 0.0808772i
\(533\) −7.39320 5.53484i −0.320235 0.239740i
\(534\) 12.8488 + 8.19726i 0.556021 + 0.354730i
\(535\) −4.95484 + 8.58204i −0.214217 + 0.371034i
\(536\) −19.4162 11.2099i −0.838651 0.484196i
\(537\) 1.68421 38.0108i 0.0726791 1.64029i
\(538\) 10.2142 0.440366
\(539\) −0.000495629 1.04152i −2.13483e−5 0.0448616i
\(540\) −14.7783 + 6.08783i −0.635958 + 0.261979i
\(541\) 6.15189i 0.264491i 0.991217 + 0.132245i \(0.0422187\pi\)
−0.991217 + 0.132245i \(0.957781\pi\)
\(542\) −10.0659 17.4346i −0.432366 0.748880i
\(543\) −37.1711 + 19.3195i −1.59517 + 0.829080i
\(544\) 14.6974 25.4567i 0.630147 1.09145i
\(545\) 16.3428 0.700050
\(546\) −12.3881 + 1.22702i −0.530161 + 0.0525117i
\(547\) −34.0676 −1.45663 −0.728313 0.685245i \(-0.759695\pi\)
−0.728313 + 0.685245i \(0.759695\pi\)
\(548\) 10.8414 18.7778i 0.463120 0.802147i
\(549\) 2.55443 28.7688i 0.109021 1.22782i
\(550\) −0.0217614 0.0376918i −0.000927908 0.00160718i
\(551\) 4.69000i 0.199801i
\(552\) 0.0699921 1.57965i 0.00297906 0.0672342i
\(553\) −21.5598 + 5.78244i −0.916817 + 0.245894i
\(554\) −3.58884 −0.152475
\(555\) −31.1556 1.38046i −1.32248 0.0585975i
\(556\) −19.7036 11.3759i −0.835618 0.482444i
\(557\) −12.8087 + 22.1852i −0.542720 + 0.940019i 0.456026 + 0.889966i \(0.349272\pi\)
−0.998747 + 0.0500528i \(0.984061\pi\)
\(558\) 1.98172 + 4.26420i 0.0838929 + 0.180518i
\(559\) 2.15202 + 5.02588i 0.0910207 + 0.212572i
\(560\) −5.02908 1.34626i −0.212517 0.0568897i
\(561\) 0.595925 + 1.14657i 0.0251600 + 0.0484082i
\(562\) 6.06388 10.5030i 0.255789 0.443040i
\(563\) −0.752571 1.30349i −0.0317171 0.0549356i 0.849731 0.527216i \(-0.176764\pi\)
−0.881448 + 0.472281i \(0.843431\pi\)
\(564\) 23.1451 + 14.7661i 0.974585 + 0.621765i
\(565\) 19.7129 + 34.1438i 0.829330 + 1.43644i
\(566\) 15.3723 8.87522i 0.646147 0.373053i
\(567\) −13.6120 19.5375i −0.571651 0.820497i
\(568\) −6.53021 11.3107i −0.274002 0.474585i
\(569\) −5.00882 2.89185i −0.209981 0.121232i 0.391322 0.920254i \(-0.372018\pi\)
−0.601302 + 0.799021i \(0.705351\pi\)
\(570\) 1.26714 0.658592i 0.0530748 0.0275854i
\(571\) −14.2769 −0.597469 −0.298735 0.954336i \(-0.596565\pi\)
−0.298735 + 0.954336i \(0.596565\pi\)
\(572\) 0.762967 + 0.0912481i 0.0319013 + 0.00381527i
\(573\) −25.1986 16.0762i −1.05269 0.671592i
\(574\) −3.60961 + 3.61133i −0.150662 + 0.150734i
\(575\) 0.118693 + 0.0685274i 0.00494984 + 0.00285779i
\(576\) −4.45515 + 6.34514i −0.185631 + 0.264381i
\(577\) −17.1410 −0.713589 −0.356795 0.934183i \(-0.616130\pi\)
−0.356795 + 0.934183i \(0.616130\pi\)
\(578\) 3.06697 + 5.31215i 0.127569 + 0.220956i
\(579\) 0.0659825 1.48916i 0.00274214 0.0618872i
\(580\) 28.3099 1.17551
\(581\) −8.95186 33.3770i −0.371386 1.38471i
\(582\) 9.08637 + 17.4823i 0.376642 + 0.724666i
\(583\) 1.13856 + 0.657346i 0.0471542 + 0.0272245i
\(584\) 3.48368 0.144156
\(585\) −17.2910 15.5111i −0.714897 0.641306i
\(586\) 1.22037i 0.0504129i
\(587\) 32.9465 + 19.0217i 1.35985 + 0.785109i 0.989603 0.143824i \(-0.0459400\pi\)
0.370246 + 0.928934i \(0.379273\pi\)
\(588\) 0.760465 17.3496i 0.0313610 0.715485i
\(589\) 0.530054 + 0.918081i 0.0218405 + 0.0378288i
\(590\) 9.08917 0.374195
\(591\) 23.0534 + 1.02147i 0.948290 + 0.0420175i
\(592\) 6.65325 3.84126i 0.273447 0.157875i
\(593\) 24.3061i 0.998133i −0.866564 0.499067i \(-0.833676\pi\)
0.866564 0.499067i \(-0.166324\pi\)
\(594\) −0.221869 0.538591i −0.00910339 0.0220986i
\(595\) 20.1399 20.1495i 0.825657 0.826050i
\(596\) −1.09161 + 1.89072i −0.0447141 + 0.0774470i
\(597\) −23.4360 14.9517i −0.959170 0.611931i
\(598\) 0.881557 0.377472i 0.0360495 0.0154360i
\(599\) 41.6059i 1.69997i 0.526807 + 0.849985i \(0.323389\pi\)
−0.526807 + 0.849985i \(0.676611\pi\)
\(600\) −0.801979 1.54302i −0.0327406 0.0629936i
\(601\) −30.4816 17.5985i −1.24337 0.717859i −0.273590 0.961846i \(-0.588211\pi\)
−0.969779 + 0.243987i \(0.921545\pi\)
\(602\) 2.91947 0.783014i 0.118989 0.0319133i
\(603\) 23.5862 10.9613i 0.960504 0.446380i
\(604\) −13.6769 + 7.89635i −0.556504 + 0.321298i
\(605\) −20.4165 + 11.7875i −0.830049 + 0.479229i
\(606\) 2.45043 3.84092i 0.0995419 0.156027i
\(607\) 3.99269 2.30518i 0.162058 0.0935643i −0.416778 0.909009i \(-0.636841\pi\)
0.578836 + 0.815444i \(0.303507\pi\)
\(608\) −1.49369 + 2.58715i −0.0605773 + 0.104923i
\(609\) 9.11179 + 41.1803i 0.369229 + 1.66871i
\(610\) −15.5770 −0.630692
\(611\) −4.73813 + 39.6177i −0.191684 + 1.60276i
\(612\) 9.08039 + 19.5389i 0.367053 + 0.789813i
\(613\) 2.68546 + 1.55045i 0.108465 + 0.0626220i 0.553251 0.833015i \(-0.313387\pi\)
−0.444786 + 0.895637i \(0.646720\pi\)
\(614\) 2.74277 4.75061i 0.110689 0.191719i
\(615\) −9.51820 0.421739i −0.383811 0.0170062i
\(616\) 0.263247 0.983388i 0.0106065 0.0396218i
\(617\) 24.1949 + 41.9067i 0.974048 + 1.68710i 0.683040 + 0.730381i \(0.260657\pi\)
0.291008 + 0.956721i \(0.406009\pi\)
\(618\) −0.425973 + 9.61377i −0.0171352 + 0.386722i
\(619\) −8.39216 −0.337309 −0.168655 0.985675i \(-0.553942\pi\)
−0.168655 + 0.985675i \(0.553942\pi\)
\(620\) −5.54175 + 3.19953i −0.222562 + 0.128496i
\(621\) 1.45309 + 1.11948i 0.0583105 + 0.0449232i
\(622\) −10.0705 + 17.4426i −0.403789 + 0.699384i
\(623\) −29.8489 7.99039i −1.19587 0.320128i
\(624\) 5.64612 + 0.930357i 0.226025 + 0.0372441i
\(625\) −22.9081 −0.916322
\(626\) 17.4772 + 10.0905i 0.698530 + 0.403297i
\(627\) −0.0605636 0.116525i −0.00241868 0.00465358i
\(628\) −9.45877 + 5.46102i −0.377446 + 0.217918i
\(629\) 42.0400i 1.67624i
\(630\) −9.84656 + 8.24456i −0.392296 + 0.328471i
\(631\) −0.133053 + 0.0768184i −0.00529677 + 0.00305809i −0.502646 0.864492i \(-0.667640\pi\)
0.497349 + 0.867550i \(0.334307\pi\)
\(632\) −21.8179 −0.867871
\(633\) 18.9524 + 0.839755i 0.753289 + 0.0333773i
\(634\) −1.01007 + 1.74950i −0.0401151 + 0.0694814i
\(635\) −13.1707 7.60412i −0.522664 0.301760i
\(636\) 18.4804 + 11.7901i 0.732795 + 0.467508i
\(637\) 23.1967 9.94560i 0.919085 0.394059i
\(638\) 1.03175i 0.0408472i
\(639\) 15.0918 + 1.34002i 0.597020 + 0.0530105i
\(640\) −18.1845 10.4988i −0.718806 0.415003i
\(641\) −18.0772 + 10.4369i −0.714007 + 0.412232i −0.812543 0.582902i \(-0.801917\pi\)
0.0985362 + 0.995133i \(0.468584\pi\)
\(642\) −5.07669 3.23882i −0.200361 0.127826i
\(643\) 15.3202 + 26.5354i 0.604170 + 1.04645i 0.992182 + 0.124799i \(0.0398287\pi\)
−0.388012 + 0.921654i \(0.626838\pi\)
\(644\) 0.346553 + 1.29212i 0.0136561 + 0.0509168i
\(645\) 4.75488 + 3.03352i 0.187223 + 0.119445i
\(646\) −0.962546 1.66718i −0.0378709 0.0655942i
\(647\) −12.2261 + 21.1763i −0.480658 + 0.832525i −0.999754 0.0221916i \(-0.992936\pi\)
0.519095 + 0.854716i \(0.326269\pi\)
\(648\) −7.90369 21.8912i −0.310486 0.859967i
\(649\) 0.835832i 0.0328093i
\(650\) 0.632068 0.844288i 0.0247917 0.0331157i
\(651\) −6.43777 7.03136i −0.252316 0.275581i
\(652\) −4.15978 2.40165i −0.162909 0.0940558i
\(653\) −3.81515 2.20268i −0.149298 0.0861973i 0.423490 0.905901i \(-0.360805\pi\)
−0.572788 + 0.819703i \(0.694138\pi\)
\(654\) −0.439603 + 9.92137i −0.0171898 + 0.387956i
\(655\) 11.6876i 0.456672i
\(656\) 2.03260 1.17352i 0.0793598 0.0458184i
\(657\) −2.32230 + 3.30748i −0.0906015 + 0.129037i
\(658\) 21.3091 + 5.70432i 0.830714 + 0.222377i
\(659\) −8.90930 + 5.14379i −0.347057 + 0.200374i −0.663388 0.748275i \(-0.730882\pi\)
0.316331 + 0.948649i \(0.397549\pi\)
\(660\) 0.703375 0.365576i 0.0273788 0.0142300i
\(661\) −9.62029 + 16.6628i −0.374186 + 0.648109i −0.990205 0.139622i \(-0.955411\pi\)
0.616019 + 0.787731i \(0.288744\pi\)
\(662\) 19.0263i 0.739480i
\(663\) −19.8572 + 24.2116i −0.771192 + 0.940301i
\(664\) 33.7766i 1.31079i
\(665\) −2.04681 + 2.04779i −0.0793720 + 0.0794098i
\(666\) 1.67610 18.8768i 0.0649475 0.731459i
\(667\) −1.62450 2.81372i −0.0629010 0.108948i
\(668\) 13.5768i 0.525304i
\(669\) 2.22279 + 0.0984887i 0.0859379 + 0.00380779i
\(670\) −7.01368 12.1480i −0.270962 0.469320i
\(671\) 1.43244i 0.0552988i
\(672\) 8.08893 25.6183i 0.312037 0.988248i
\(673\) 16.8943 29.2618i 0.651228 1.12796i −0.331597 0.943421i \(-0.607588\pi\)
0.982825 0.184539i \(-0.0590791\pi\)
\(674\) −2.95233 + 5.11359i −0.113720 + 0.196968i
\(675\) 1.99959 + 0.267198i 0.0769643 + 0.0102844i
\(676\) 5.24487 + 17.8665i 0.201726 + 0.687174i
\(677\) 25.0623 0.963224 0.481612 0.876385i \(-0.340052\pi\)
0.481612 + 0.876385i \(0.340052\pi\)
\(678\) −21.2582 + 11.0489i −0.816416 + 0.424329i
\(679\) −28.2526 28.2392i −1.08424 1.08372i
\(680\) 24.1153 13.9229i 0.924778 0.533921i
\(681\) 17.5467 + 11.1944i 0.672389 + 0.428971i
\(682\) −0.116606 0.201967i −0.00446506 0.00773372i
\(683\) 0.993615 + 1.72099i 0.0380196 + 0.0658519i 0.884409 0.466713i \(-0.154562\pi\)
−0.846389 + 0.532564i \(0.821228\pi\)
\(684\) −0.922836 1.98573i −0.0352855 0.0759262i
\(685\) 28.1534 16.2544i 1.07569 0.621047i
\(686\) −3.62111 13.4757i −0.138255 0.514504i
\(687\) 18.3131 + 35.2348i 0.698689 + 1.34429i
\(688\) −1.38941 −0.0529708
\(689\) −3.78320 + 31.6330i −0.144128 + 1.20512i
\(690\) 0.532090 0.834024i 0.0202563 0.0317507i
\(691\) −2.05557 + 3.56035i −0.0781975 + 0.135442i −0.902472 0.430748i \(-0.858250\pi\)
0.824275 + 0.566190i \(0.191583\pi\)
\(692\) −6.29247 + 10.8989i −0.239204 + 0.414313i
\(693\) 0.758162 + 0.905481i 0.0288002 + 0.0343964i
\(694\) 17.5542i 0.666350i
\(695\) −17.0557 29.5414i −0.646961 1.12057i
\(696\) −1.82480 + 41.1839i −0.0691690 + 1.56107i
\(697\) 12.8434i 0.486480i
\(698\) 10.7197 + 18.5671i 0.405748 + 0.702776i
\(699\) 18.7945 9.76837i 0.710874 0.369474i
\(700\) 1.04061 + 1.04011i 0.0393313 + 0.0393126i
\(701\) 1.23712i 0.0467252i −0.999727 0.0233626i \(-0.992563\pi\)
0.999727 0.0233626i \(-0.00743722\pi\)
\(702\) 9.88157 10.0798i 0.372956 0.380437i
\(703\) 4.27251i 0.161141i
\(704\) 0.192261 0.333005i 0.00724609 0.0125506i
\(705\) 18.9828 + 36.5233i 0.714935 + 1.37555i
\(706\) 2.67568 1.54481i 0.100701 0.0581396i
\(707\) −2.38859 + 8.92283i −0.0898321 + 0.335577i
\(708\) 0.616906 13.9229i 0.0231847 0.523255i
\(709\) 9.32923 5.38623i 0.350367 0.202284i −0.314480 0.949264i \(-0.601830\pi\)
0.664847 + 0.746980i \(0.268497\pi\)
\(710\) 8.17146i 0.306670i
\(711\) 14.5443 20.7144i 0.545455 0.776850i
\(712\) −26.1561 15.1012i −0.980240 0.565942i
\(713\) 0.636001 + 0.367196i 0.0238184 + 0.0137516i
\(714\) 11.6906 + 12.7685i 0.437509 + 0.477850i
\(715\) 0.922251 + 0.690434i 0.0344902 + 0.0258208i
\(716\) 31.4644i 1.17588i
\(717\) −8.72434 16.7858i −0.325816 0.626877i
\(718\) −8.13289 + 14.0866i −0.303517 + 0.525706i
\(719\) −18.0846 31.3234i −0.674441 1.16817i −0.976632 0.214919i \(-0.931051\pi\)
0.302191 0.953247i \(-0.402282\pi\)
\(720\) 5.35336 2.48789i 0.199508 0.0927182i
\(721\) −5.05413 18.8443i −0.188226 0.701800i
\(722\) −7.05976 12.2279i −0.262737 0.455074i
\(723\) 2.30534 3.61349i 0.0857364 0.134387i
\(724\) 30.0018 17.3216i 1.11501 0.643751i
\(725\) −3.09451 1.78662i −0.114927 0.0663533i
\(726\) −6.60674 12.7115i −0.245199 0.471767i
\(727\) 31.5945i 1.17177i −0.810393 0.585887i \(-0.800746\pi\)
0.810393 0.585887i \(-0.199254\pi\)
\(728\) 24.4173 3.51583i 0.904967 0.130305i
\(729\) 26.0527 + 7.08923i 0.964915 + 0.262564i
\(730\) 1.88761 + 1.08981i 0.0698635 + 0.0403357i
\(731\) 3.80154 6.58447i 0.140605 0.243535i
\(732\) −1.05725 + 23.8610i −0.0390770 + 0.881927i
\(733\) −51.2006 −1.89114 −0.945569 0.325422i \(-0.894494\pi\)
−0.945569 + 0.325422i \(0.894494\pi\)
\(734\) 12.7592 7.36656i 0.470952 0.271905i
\(735\) 13.9934 21.9570i 0.516156 0.809898i
\(736\) 2.06952i 0.0762834i
\(737\) −1.11712 + 0.644972i −0.0411498 + 0.0237578i
\(738\) 0.512057 5.76695i 0.0188491 0.212284i
\(739\) −1.74744 1.00888i −0.0642806 0.0371124i 0.467515 0.883985i \(-0.345149\pi\)
−0.531796 + 0.846873i \(0.678483\pi\)
\(740\) 25.7899 0.948054
\(741\) 2.01808 2.46062i 0.0741361 0.0903930i
\(742\) 17.0144 + 4.55466i 0.624618 + 0.167207i
\(743\) 22.4497 38.8840i 0.823598 1.42651i −0.0793878 0.996844i \(-0.525297\pi\)
0.902986 0.429670i \(-0.141370\pi\)
\(744\) −4.29730 8.26809i −0.157547 0.303123i
\(745\) −2.83474 + 1.63664i −0.103857 + 0.0599619i
\(746\) 26.5554 0.972262
\(747\) 32.0682 + 22.5162i 1.17331 + 0.823826i
\(748\) −0.534296 0.925429i −0.0195358 0.0338370i
\(749\) 11.7936 + 3.15708i 0.430930 + 0.115357i
\(750\) 0.668416 15.0854i 0.0244071 0.550842i
\(751\) 6.29770 10.9079i 0.229806 0.398036i −0.727944 0.685636i \(-0.759524\pi\)
0.957751 + 0.287600i \(0.0928574\pi\)
\(752\) −8.78146 5.06998i −0.320227 0.184883i
\(753\) −2.60089 + 4.07677i −0.0947818 + 0.148566i
\(754\) −22.9836 + 9.84129i −0.837012 + 0.358399i
\(755\) −23.6779 −0.861726
\(756\) 11.9608 + 15.6427i 0.435010 + 0.568918i
\(757\) −11.1407 + 19.2962i −0.404914 + 0.701332i −0.994311 0.106511i \(-0.966032\pi\)
0.589397 + 0.807843i \(0.299365\pi\)
\(758\) 1.88399 1.08772i 0.0684296 0.0395078i
\(759\) −0.0766961 0.0489305i −0.00278389 0.00177607i
\(760\) −2.45082 + 1.41498i −0.0889006 + 0.0513268i
\(761\) −34.7249 + 20.0485i −1.25878 + 0.726756i −0.972837 0.231491i \(-0.925640\pi\)
−0.285941 + 0.958247i \(0.592306\pi\)
\(762\) 4.97057 7.79112i 0.180065 0.282242i
\(763\) −5.21584 19.4473i −0.188826 0.704039i
\(764\) 21.4064 + 12.3590i 0.774455 + 0.447132i
\(765\) −2.85704 + 32.1769i −0.103296 + 1.16336i
\(766\) 22.4979i 0.812881i
\(767\) 18.6193 7.97257i 0.672305 0.287873i
\(768\) 11.6778 18.3043i 0.421385 0.660499i
\(769\) −6.08770 + 10.5442i −0.219528 + 0.380234i −0.954664 0.297686i \(-0.903785\pi\)
0.735136 + 0.677920i \(0.237118\pi\)
\(770\) 0.450275 0.450489i 0.0162268 0.0162345i
\(771\) −14.3141 0.634239i −0.515510 0.0228416i
\(772\) 1.23269i 0.0443653i
\(773\) 46.2743 26.7165i 1.66437 0.960924i 0.693780 0.720187i \(-0.255944\pi\)
0.970590 0.240737i \(-0.0773892\pi\)
\(774\) −1.96948 + 2.80499i