Properties

Label 770.2.bd.a.527.29
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.29
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.88147 - 0.504137i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.86717 + 1.23031i) q^{5} -1.94784i q^{6} +(1.82332 - 1.91716i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.687681 + 0.397033i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(-1.88147 - 0.504137i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-1.86717 + 1.23031i) q^{5} -1.94784i q^{6} +(1.82332 - 1.91716i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(0.687681 + 0.397033i) q^{9} +(-1.67165 - 1.48512i) q^{10} +(2.83003 - 1.72943i) q^{11} +(1.88147 - 0.504137i) q^{12} +(-0.386358 - 0.386358i) q^{13} +(2.32375 + 1.26499i) q^{14} +(4.13326 - 1.37348i) q^{15} +(0.500000 - 0.866025i) q^{16} +(3.57963 + 0.959159i) q^{17} +(-0.205519 + 0.767009i) q^{18} +(-3.63284 + 6.29226i) q^{19} +(1.00186 - 1.99907i) q^{20} +(-4.39702 + 2.68788i) q^{21} +(2.40297 + 2.28599i) q^{22} +(1.63736 + 6.11071i) q^{23} +(0.973918 + 1.68688i) q^{24} +(1.97265 - 4.59441i) q^{25} +(0.273196 - 0.473190i) q^{26} +(3.03830 + 3.03830i) q^{27} +(-0.620455 + 2.57197i) q^{28} -5.59137 q^{29} +(2.39645 + 3.63694i) q^{30} +(-1.53624 - 2.66084i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-6.19647 + 1.82714i) q^{33} +3.70591i q^{34} +(-1.04572 + 5.82293i) q^{35} -0.794066 q^{36} +(-1.87040 + 0.501172i) q^{37} +(-7.01810 - 1.88050i) q^{38} +(0.532141 + 0.921696i) q^{39} +(2.19025 + 0.450325i) q^{40} +7.02946i q^{41} +(-3.73432 - 3.55152i) q^{42} +(5.80892 + 5.80892i) q^{43} +(-1.58617 + 2.91274i) q^{44} +(-1.77249 + 0.104736i) q^{45} +(-5.47872 + 3.16314i) q^{46} +(-4.09754 + 1.09793i) q^{47} +(-1.37733 + 1.37733i) q^{48} +(-0.351042 - 6.99119i) q^{49} +(4.94842 + 0.716313i) q^{50} +(-6.25140 - 3.60925i) q^{51} +(0.527774 + 0.141417i) q^{52} +(13.9020 + 3.72502i) q^{53} +(-2.14840 + 3.72114i) q^{54} +(-3.15641 + 6.71097i) q^{55} +(-2.64492 + 0.0663616i) q^{56} +(10.0072 - 10.0072i) q^{57} +(-1.44715 - 5.40085i) q^{58} +(-5.22539 + 3.01688i) q^{59} +(-2.89277 + 3.25610i) q^{60} +(1.59065 + 0.918360i) q^{61} +(2.17257 - 2.17257i) q^{62} +(2.01504 - 0.594482i) q^{63} +1.00000i q^{64} +(1.19674 + 0.246054i) q^{65} +(-3.36864 - 5.51244i) q^{66} +(-3.10786 + 11.5987i) q^{67} +(-3.57963 + 0.959159i) q^{68} -12.3225i q^{69} +(-5.89517 + 0.496991i) q^{70} +14.1222 q^{71} +(-0.205519 - 0.767009i) q^{72} +(-3.80926 + 14.2164i) q^{73} +(-0.968191 - 1.67696i) q^{74} +(-6.02769 + 7.64974i) q^{75} -7.26568i q^{76} +(1.84444 - 8.57893i) q^{77} +(-0.752562 + 0.752562i) q^{78} +(1.67078 - 2.89388i) q^{79} +(0.131899 + 2.23217i) q^{80} +(-5.37583 - 9.31121i) q^{81} +(-6.78994 + 1.81936i) q^{82} +(3.90016 + 3.90016i) q^{83} +(2.46399 - 4.52628i) q^{84} +(-7.86385 + 2.61316i) q^{85} +(-4.10753 + 7.11445i) q^{86} +(10.5200 + 2.81882i) q^{87} +(-3.22402 - 0.778244i) q^{88} +(11.7521 + 6.78506i) q^{89} +(-0.559922 - 1.68499i) q^{90} +(-1.44516 + 0.0362595i) q^{91} +(-4.47335 - 4.47335i) q^{92} +(1.54895 + 5.78076i) q^{93} +(-2.12104 - 3.67375i) q^{94} +(-0.958332 - 16.2183i) q^{95} +(-1.68688 - 0.973918i) q^{96} +(-1.09060 - 1.09060i) q^{97} +(6.66212 - 2.14853i) q^{98} +(2.63280 - 0.0656795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) −1.88147 0.504137i −1.08626 0.291064i −0.329105 0.944293i \(-0.606747\pi\)
−0.757160 + 0.653230i \(0.773414\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) −1.86717 + 1.23031i −0.835024 + 0.550213i
\(6\) 1.94784i 0.795201i
\(7\) 1.82332 1.91716i 0.689148 0.724620i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 0.687681 + 0.397033i 0.229227 + 0.132344i
\(10\) −1.67165 1.48512i −0.528623 0.469636i
\(11\) 2.83003 1.72943i 0.853287 0.521442i
\(12\) 1.88147 0.504137i 0.543132 0.145532i
\(13\) −0.386358 0.386358i −0.107156 0.107156i 0.651496 0.758652i \(-0.274142\pi\)
−0.758652 + 0.651496i \(0.774142\pi\)
\(14\) 2.32375 + 1.26499i 0.621048 + 0.338082i
\(15\) 4.13326 1.37348i 1.06720 0.354632i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 3.57963 + 0.959159i 0.868188 + 0.232630i 0.665304 0.746573i \(-0.268302\pi\)
0.202884 + 0.979203i \(0.434969\pi\)
\(18\) −0.205519 + 0.767009i −0.0484414 + 0.180786i
\(19\) −3.63284 + 6.29226i −0.833430 + 1.44354i 0.0618721 + 0.998084i \(0.480293\pi\)
−0.895302 + 0.445459i \(0.853040\pi\)
\(20\) 1.00186 1.99907i 0.224023 0.447005i
\(21\) −4.39702 + 2.68788i −0.959508 + 0.586543i
\(22\) 2.40297 + 2.28599i 0.512314 + 0.487375i
\(23\) 1.63736 + 6.11071i 0.341413 + 1.27417i 0.896747 + 0.442544i \(0.145924\pi\)
−0.555333 + 0.831628i \(0.687409\pi\)
\(24\) 0.973918 + 1.68688i 0.198800 + 0.344332i
\(25\) 1.97265 4.59441i 0.394530 0.918883i
\(26\) 0.273196 0.473190i 0.0535782 0.0928001i
\(27\) 3.03830 + 3.03830i 0.584720 + 0.584720i
\(28\) −0.620455 + 2.57197i −0.117255 + 0.486057i
\(29\) −5.59137 −1.03829 −0.519145 0.854686i \(-0.673750\pi\)
−0.519145 + 0.854686i \(0.673750\pi\)
\(30\) 2.39645 + 3.63694i 0.437530 + 0.664012i
\(31\) −1.53624 2.66084i −0.275917 0.477902i 0.694449 0.719542i \(-0.255648\pi\)
−0.970366 + 0.241640i \(0.922315\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) −6.19647 + 1.82714i −1.07867 + 0.318063i
\(34\) 3.70591i 0.635558i
\(35\) −1.04572 + 5.82293i −0.176760 + 0.984254i
\(36\) −0.794066 −0.132344
\(37\) −1.87040 + 0.501172i −0.307492 + 0.0823922i −0.409265 0.912415i \(-0.634215\pi\)
0.101773 + 0.994808i \(0.467548\pi\)
\(38\) −7.01810 1.88050i −1.13849 0.305057i
\(39\) 0.532141 + 0.921696i 0.0852108 + 0.147589i
\(40\) 2.19025 + 0.450325i 0.346309 + 0.0712026i
\(41\) 7.02946i 1.09782i 0.835882 + 0.548908i \(0.184956\pi\)
−0.835882 + 0.548908i \(0.815044\pi\)
\(42\) −3.73432 3.55152i −0.576219 0.548011i
\(43\) 5.80892 + 5.80892i 0.885853 + 0.885853i 0.994122 0.108269i \(-0.0345308\pi\)
−0.108269 + 0.994122i \(0.534531\pi\)
\(44\) −1.58617 + 2.91274i −0.239123 + 0.439113i
\(45\) −1.77249 + 0.104736i −0.264228 + 0.0156131i
\(46\) −5.47872 + 3.16314i −0.807793 + 0.466379i
\(47\) −4.09754 + 1.09793i −0.597688 + 0.160150i −0.544964 0.838459i \(-0.683457\pi\)
−0.0527234 + 0.998609i \(0.516790\pi\)
\(48\) −1.37733 + 1.37733i −0.198800 + 0.198800i
\(49\) −0.351042 6.99119i −0.0501489 0.998742i
\(50\) 4.94842 + 0.716313i 0.699813 + 0.101302i
\(51\) −6.25140 3.60925i −0.875372 0.505396i
\(52\) 0.527774 + 0.141417i 0.0731891 + 0.0196110i
\(53\) 13.9020 + 3.72502i 1.90958 + 0.511671i 0.993976 + 0.109596i \(0.0349558\pi\)
0.915607 + 0.402075i \(0.131711\pi\)
\(54\) −2.14840 + 3.72114i −0.292360 + 0.506383i
\(55\) −3.15641 + 6.71097i −0.425610 + 0.904907i
\(56\) −2.64492 + 0.0663616i −0.353442 + 0.00886794i
\(57\) 10.0072 10.0072i 1.32549 1.32549i
\(58\) −1.44715 5.40085i −0.190020 0.709166i
\(59\) −5.22539 + 3.01688i −0.680288 + 0.392765i −0.799964 0.600048i \(-0.795148\pi\)
0.119675 + 0.992813i \(0.461815\pi\)
\(60\) −2.89277 + 3.25610i −0.373455 + 0.420361i
\(61\) 1.59065 + 0.918360i 0.203661 + 0.117584i 0.598362 0.801226i \(-0.295818\pi\)
−0.394701 + 0.918810i \(0.629152\pi\)
\(62\) 2.17257 2.17257i 0.275917 0.275917i
\(63\) 2.01504 0.594482i 0.253871 0.0748977i
\(64\) 1.00000i 0.125000i
\(65\) 1.19674 + 0.246054i 0.148437 + 0.0305193i
\(66\) −3.36864 5.51244i −0.414651 0.678534i
\(67\) −3.10786 + 11.5987i −0.379686 + 1.41701i 0.466691 + 0.884421i \(0.345446\pi\)
−0.846376 + 0.532585i \(0.821221\pi\)
\(68\) −3.57963 + 0.959159i −0.434094 + 0.116315i
\(69\) 12.3225i 1.48346i
\(70\) −5.89517 + 0.496991i −0.704607 + 0.0594018i
\(71\) 14.1222 1.67599 0.837997 0.545675i \(-0.183727\pi\)
0.837997 + 0.545675i \(0.183727\pi\)
\(72\) −0.205519 0.767009i −0.0242207 0.0903928i
\(73\) −3.80926 + 14.2164i −0.445841 + 1.66390i 0.267867 + 0.963456i \(0.413681\pi\)
−0.713707 + 0.700444i \(0.752985\pi\)
\(74\) −0.968191 1.67696i −0.112550 0.194942i
\(75\) −6.02769 + 7.64974i −0.696018 + 0.883316i
\(76\) 7.26568i 0.833430i
\(77\) 1.84444 8.57893i 0.210194 0.977660i
\(78\) −0.752562 + 0.752562i −0.0852108 + 0.0852108i
\(79\) 1.67078 2.89388i 0.187978 0.325587i −0.756598 0.653880i \(-0.773140\pi\)
0.944576 + 0.328293i \(0.106473\pi\)
\(80\) 0.131899 + 2.23217i 0.0147467 + 0.249565i
\(81\) −5.37583 9.31121i −0.597314 1.03458i
\(82\) −6.78994 + 1.81936i −0.749823 + 0.200914i
\(83\) 3.90016 + 3.90016i 0.428098 + 0.428098i 0.887980 0.459882i \(-0.152108\pi\)
−0.459882 + 0.887980i \(0.652108\pi\)
\(84\) 2.46399 4.52628i 0.268843 0.493858i
\(85\) −7.86385 + 2.61316i −0.852954 + 0.283437i
\(86\) −4.10753 + 7.11445i −0.442926 + 0.767171i
\(87\) 10.5200 + 2.81882i 1.12786 + 0.302209i
\(88\) −3.22402 0.778244i −0.343682 0.0829611i
\(89\) 11.7521 + 6.78506i 1.24572 + 0.719215i 0.970252 0.242096i \(-0.0778348\pi\)
0.275465 + 0.961311i \(0.411168\pi\)
\(90\) −0.559922 1.68499i −0.0590210 0.177613i
\(91\) −1.44516 + 0.0362595i −0.151494 + 0.00380102i
\(92\) −4.47335 4.47335i −0.466379 0.466379i
\(93\) 1.54895 + 5.78076i 0.160619 + 0.599437i
\(94\) −2.12104 3.67375i −0.218769 0.378919i
\(95\) −0.958332 16.2183i −0.0983228 1.66396i
\(96\) −1.68688 0.973918i −0.172166 0.0994001i
\(97\) −1.09060 1.09060i −0.110733 0.110733i 0.649569 0.760302i \(-0.274949\pi\)
−0.760302 + 0.649569i \(0.774949\pi\)
\(98\) 6.66212 2.14853i 0.672975 0.217035i
\(99\) 2.63280 0.0656795i 0.264606 0.00660104i
\(100\) 0.588841 + 4.96521i 0.0588841 + 0.496521i
\(101\) 6.13007 3.53920i 0.609964 0.352163i −0.162987 0.986628i \(-0.552113\pi\)
0.772952 + 0.634465i \(0.218780\pi\)
\(102\) 1.86828 6.97253i 0.184988 0.690384i
\(103\) −1.22437 4.56942i −0.120641 0.450238i 0.879006 0.476811i \(-0.158207\pi\)
−0.999647 + 0.0265726i \(0.991541\pi\)
\(104\) 0.546392i 0.0535782i
\(105\) 4.90305 10.4284i 0.478488 1.01771i
\(106\) 14.3924i 1.39791i
\(107\) −1.07334 4.00576i −0.103764 0.387251i 0.894438 0.447191i \(-0.147576\pi\)
−0.998202 + 0.0599402i \(0.980909\pi\)
\(108\) −4.15039 1.11209i −0.399371 0.107011i
\(109\) −3.18395 5.51476i −0.304967 0.528218i 0.672287 0.740291i \(-0.265312\pi\)
−0.977254 + 0.212072i \(0.931979\pi\)
\(110\) −7.29924 1.31193i −0.695955 0.125088i
\(111\) 3.77175 0.357999
\(112\) −0.748656 2.53762i −0.0707413 0.239783i
\(113\) 14.6138 14.6138i 1.37475 1.37475i 0.521509 0.853246i \(-0.325369\pi\)
0.853246 0.521509i \(-0.174631\pi\)
\(114\) 12.2563 + 7.07617i 1.14791 + 0.662744i
\(115\) −10.5753 9.39527i −0.986155 0.876114i
\(116\) 4.84227 2.79568i 0.449593 0.259573i
\(117\) −0.112294 0.419088i −0.0103816 0.0387447i
\(118\) −4.26652 4.26652i −0.392765 0.392765i
\(119\) 8.36566 5.11389i 0.766879 0.468790i
\(120\) −3.89386 1.95146i −0.355459 0.178143i
\(121\) 5.01816 9.78867i 0.456196 0.889879i
\(122\) −0.475378 + 1.77414i −0.0430387 + 0.160623i
\(123\) 3.54381 13.2257i 0.319535 1.19252i
\(124\) 2.66084 + 1.53624i 0.238951 + 0.137958i
\(125\) 1.96930 + 11.0055i 0.176139 + 0.984365i
\(126\) 1.09576 + 1.79251i 0.0976177 + 0.159690i
\(127\) 6.34400 6.34400i 0.562939 0.562939i −0.367202 0.930141i \(-0.619684\pi\)
0.930141 + 0.367202i \(0.119684\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −8.00079 13.8578i −0.704431 1.22011i
\(130\) 0.0720683 + 1.21964i 0.00632081 + 0.106970i
\(131\) −7.60049 4.38814i −0.664058 0.383394i 0.129764 0.991545i \(-0.458578\pi\)
−0.793821 + 0.608151i \(0.791912\pi\)
\(132\) 4.45274 4.68058i 0.387561 0.407392i
\(133\) 5.43949 + 18.4375i 0.471664 + 1.59874i
\(134\) −12.0079 −1.03732
\(135\) −9.41107 1.93496i −0.809976 0.166535i
\(136\) −1.85295 3.20941i −0.158889 0.275205i
\(137\) 0.134433 0.501711i 0.0114854 0.0428640i −0.959945 0.280187i \(-0.909603\pi\)
0.971431 + 0.237323i \(0.0762701\pi\)
\(138\) 11.9027 3.18931i 1.01322 0.271492i
\(139\) −13.1443 −1.11489 −0.557444 0.830215i \(-0.688218\pi\)
−0.557444 + 0.830215i \(0.688218\pi\)
\(140\) −2.00584 5.56566i −0.169524 0.470384i
\(141\) 8.26289 0.695861
\(142\) 3.65509 + 13.6410i 0.306728 + 1.14472i
\(143\) −1.76158 0.425227i −0.147311 0.0355592i
\(144\) 0.687681 0.397033i 0.0573068 0.0330861i
\(145\) 10.4400 6.87914i 0.866998 0.571282i
\(146\) −14.7179 −1.21806
\(147\) −2.86405 + 13.3307i −0.236223 + 1.09949i
\(148\) 1.36923 1.36923i 0.112550 0.112550i
\(149\) −5.41677 + 9.38213i −0.443759 + 0.768614i −0.997965 0.0637661i \(-0.979689\pi\)
0.554205 + 0.832380i \(0.313022\pi\)
\(150\) −8.94917 3.84240i −0.730696 0.313731i
\(151\) −19.7106 + 11.3799i −1.60403 + 0.926086i −0.613358 + 0.789805i \(0.710182\pi\)
−0.990670 + 0.136281i \(0.956485\pi\)
\(152\) 7.01810 1.88050i 0.569243 0.152528i
\(153\) 2.08083 + 2.08083i 0.168225 + 0.168225i
\(154\) 8.76399 0.438797i 0.706222 0.0353593i
\(155\) 6.14210 + 3.07819i 0.493345 + 0.247246i
\(156\) −0.921696 0.532141i −0.0737947 0.0426054i
\(157\) 0.0124513 0.0464689i 0.000993722 0.00370862i −0.965427 0.260673i \(-0.916056\pi\)
0.966421 + 0.256964i \(0.0827223\pi\)
\(158\) 3.22770 + 0.864861i 0.256782 + 0.0688046i
\(159\) −24.2782 14.0170i −1.92538 1.11162i
\(160\) −2.12198 + 0.705133i −0.167757 + 0.0557457i
\(161\) 14.7007 + 8.00267i 1.15858 + 0.630699i
\(162\) 7.60257 7.60257i 0.597314 0.597314i
\(163\) 3.36225 + 12.5481i 0.263352 + 0.982843i 0.963251 + 0.268601i \(0.0865615\pi\)
−0.699899 + 0.714241i \(0.746772\pi\)
\(164\) −3.51473 6.08769i −0.274454 0.475369i
\(165\) 9.32192 11.0352i 0.725711 0.859088i
\(166\) −2.75783 + 4.77670i −0.214049 + 0.370744i
\(167\) −4.35793 + 4.35793i −0.337227 + 0.337227i −0.855323 0.518096i \(-0.826641\pi\)
0.518096 + 0.855323i \(0.326641\pi\)
\(168\) 5.00978 + 1.20854i 0.386513 + 0.0932413i
\(169\) 12.7015i 0.977035i
\(170\) −4.55943 6.91956i −0.349692 0.530706i
\(171\) −4.99647 + 2.88471i −0.382089 + 0.220599i
\(172\) −7.93514 2.12621i −0.605049 0.162122i
\(173\) 15.2500 4.08624i 1.15944 0.310671i 0.372698 0.927953i \(-0.378433\pi\)
0.786742 + 0.617282i \(0.211766\pi\)
\(174\) 10.8911i 0.825650i
\(175\) −5.21148 12.1590i −0.393951 0.919131i
\(176\) −0.0827129 3.31559i −0.00623472 0.249922i
\(177\) 11.3523 3.04184i 0.853292 0.228639i
\(178\) −3.51221 + 13.1077i −0.263251 + 0.982466i
\(179\) −18.1187 + 10.4608i −1.35426 + 0.781880i −0.988842 0.148965i \(-0.952406\pi\)
−0.365414 + 0.930845i \(0.619072\pi\)
\(180\) 1.48266 0.976951i 0.110511 0.0728176i
\(181\) −3.97842 −0.295714 −0.147857 0.989009i \(-0.547237\pi\)
−0.147857 + 0.989009i \(0.547237\pi\)
\(182\) −0.409060 1.38654i −0.0303215 0.102777i
\(183\) −2.52977 2.52977i −0.187006 0.187006i
\(184\) 3.16314 5.47872i 0.233190 0.403896i
\(185\) 2.87576 3.23696i 0.211430 0.237986i
\(186\) −5.18289 + 2.99234i −0.380028 + 0.219409i
\(187\) 11.7893 3.47626i 0.862116 0.254210i
\(188\) 2.99961 2.99961i 0.218769 0.218769i
\(189\) 11.3647 0.285142i 0.826659 0.0207411i
\(190\) 15.4176 5.12327i 1.11851 0.371681i
\(191\) −4.85802 + 8.41434i −0.351514 + 0.608840i −0.986515 0.163671i \(-0.947666\pi\)
0.635001 + 0.772511i \(0.281000\pi\)
\(192\) 0.504137 1.88147i 0.0363830 0.135783i
\(193\) 0.282979 1.05609i 0.0203693 0.0760193i −0.954993 0.296628i \(-0.904138\pi\)
0.975362 + 0.220609i \(0.0708045\pi\)
\(194\) 0.771167 1.33570i 0.0553666 0.0958978i
\(195\) −2.12757 1.06626i −0.152359 0.0763566i
\(196\) 3.79961 + 5.87903i 0.271401 + 0.419931i
\(197\) −0.395788 + 0.395788i −0.0281987 + 0.0281987i −0.721066 0.692867i \(-0.756347\pi\)
0.692867 + 0.721066i \(0.256347\pi\)
\(198\) 0.744860 + 2.52609i 0.0529349 + 0.179521i
\(199\) 8.47056 4.89048i 0.600462 0.346677i −0.168761 0.985657i \(-0.553977\pi\)
0.769223 + 0.638980i \(0.220643\pi\)
\(200\) −4.64362 + 1.85387i −0.328353 + 0.131088i
\(201\) 11.6947 20.2558i 0.824878 1.42873i
\(202\) 5.00518 + 5.00518i 0.352163 + 0.352163i
\(203\) −10.1948 + 10.7196i −0.715537 + 0.752367i
\(204\) 7.21850 0.505396
\(205\) −8.64845 13.1252i −0.604034 0.916704i
\(206\) 4.09683 2.36531i 0.285440 0.164799i
\(207\) −1.30017 + 4.85231i −0.0903682 + 0.337259i
\(208\) −0.527774 + 0.141417i −0.0365946 + 0.00980549i
\(209\) 0.600965 + 24.0900i 0.0415696 + 1.66634i
\(210\) 11.3421 + 2.03690i 0.782680 + 0.140559i
\(211\) 12.2438i 0.842896i 0.906852 + 0.421448i \(0.138478\pi\)
−0.906852 + 0.421448i \(0.861522\pi\)
\(212\) −13.9020 + 3.72502i −0.954791 + 0.255836i
\(213\) −26.5704 7.11951i −1.82057 0.487821i
\(214\) 3.59146 2.07353i 0.245507 0.141744i
\(215\) −17.9931 3.69945i −1.22712 0.252300i
\(216\) 4.29680i 0.292360i
\(217\) −7.90232 1.90633i −0.536445 0.129410i
\(218\) 4.50278 4.50278i 0.304967 0.304967i
\(219\) 14.3340 24.8272i 0.968602 1.67767i
\(220\) −0.621952 7.39007i −0.0419320 0.498239i
\(221\) −1.01244 1.75360i −0.0681040 0.117960i
\(222\) 0.976202 + 3.64323i 0.0655184 + 0.244518i
\(223\) 2.37934 2.37934i 0.159332 0.159332i −0.622938 0.782271i \(-0.714061\pi\)
0.782271 + 0.622938i \(0.214061\pi\)
\(224\) 2.25739 1.37993i 0.150828 0.0922005i
\(225\) 3.18069 2.37628i 0.212046 0.158419i
\(226\) 17.8982 + 10.3335i 1.19057 + 0.687377i
\(227\) 9.03383 + 2.42061i 0.599596 + 0.160661i 0.545835 0.837893i \(-0.316212\pi\)
0.0537609 + 0.998554i \(0.482879\pi\)
\(228\) −3.66290 + 13.6701i −0.242581 + 0.905326i
\(229\) −7.06247 4.07752i −0.466701 0.269450i 0.248157 0.968720i \(-0.420175\pi\)
−0.714858 + 0.699270i \(0.753509\pi\)
\(230\) 6.33804 12.6467i 0.417918 0.833896i
\(231\) −7.79521 + 15.2111i −0.512887 + 1.00082i
\(232\) 3.95369 + 3.95369i 0.259573 + 0.259573i
\(233\) −2.13770 + 0.572794i −0.140045 + 0.0375250i −0.328161 0.944622i \(-0.606429\pi\)
0.188115 + 0.982147i \(0.439762\pi\)
\(234\) 0.375744 0.216936i 0.0245631 0.0141815i
\(235\) 6.30001 7.09129i 0.410967 0.462585i
\(236\) 3.01688 5.22539i 0.196382 0.340144i
\(237\) −4.60243 + 4.60243i −0.298960 + 0.298960i
\(238\) 7.10483 + 6.75704i 0.460538 + 0.437994i
\(239\) 17.3188 1.12026 0.560130 0.828404i \(-0.310751\pi\)
0.560130 + 0.828404i \(0.310751\pi\)
\(240\) 0.877159 4.26625i 0.0566204 0.275385i
\(241\) −15.2676 + 8.81473i −0.983470 + 0.567807i −0.903316 0.428976i \(-0.858875\pi\)
−0.0801541 + 0.996782i \(0.525541\pi\)
\(242\) 10.7539 + 2.31367i 0.691289 + 0.148728i
\(243\) 2.08403 + 7.77770i 0.133691 + 0.498940i
\(244\) −1.83672 −0.117584
\(245\) 9.25682 + 12.6219i 0.591397 + 0.806381i
\(246\) 13.6922 0.872985
\(247\) 3.83464 1.02749i 0.243992 0.0653775i
\(248\) −0.795216 + 2.96779i −0.0504963 + 0.188455i
\(249\) −5.37180 9.30423i −0.340424 0.589631i
\(250\) −10.1208 + 4.75064i −0.640098 + 0.300457i
\(251\) −15.4378 −0.974428 −0.487214 0.873283i \(-0.661987\pi\)
−0.487214 + 0.873283i \(0.661987\pi\)
\(252\) −1.44783 + 1.52236i −0.0912049 + 0.0958994i
\(253\) 15.2018 + 14.4618i 0.955730 + 0.909206i
\(254\) 7.76978 + 4.48589i 0.487520 + 0.281470i
\(255\) 16.1129 0.952109i 1.00903 0.0596234i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 11.0712 2.96651i 0.690600 0.185046i 0.103584 0.994621i \(-0.466969\pi\)
0.587016 + 0.809575i \(0.300302\pi\)
\(258\) 11.3148 11.3148i 0.704431 0.704431i
\(259\) −2.44950 + 4.49966i −0.152205 + 0.279595i
\(260\) −1.15943 + 0.385279i −0.0719049 + 0.0238940i
\(261\) −3.84508 2.21996i −0.238004 0.137412i
\(262\) 2.27147 8.47724i 0.140332 0.523726i
\(263\) −5.66235 + 21.1322i −0.349155 + 1.30307i 0.538527 + 0.842608i \(0.318981\pi\)
−0.887682 + 0.460457i \(0.847686\pi\)
\(264\) 5.67355 + 3.08959i 0.349183 + 0.190151i
\(265\) −30.5403 + 10.1486i −1.87608 + 0.623420i
\(266\) −16.4014 + 10.0261i −1.00564 + 0.614741i
\(267\) −18.6905 18.6905i −1.14384 1.14384i
\(268\) −3.10786 11.5987i −0.189843 0.708503i
\(269\) 24.1121 13.9211i 1.47014 0.848786i 0.470702 0.882292i \(-0.344001\pi\)
0.999439 + 0.0335059i \(0.0106672\pi\)
\(270\) −0.566741 9.59120i −0.0344908 0.583702i
\(271\) 16.8935 + 9.75347i 1.02621 + 0.592481i 0.915896 0.401416i \(-0.131482\pi\)
0.110311 + 0.993897i \(0.464815\pi\)
\(272\) 2.62047 2.62047i 0.158889 0.158889i
\(273\) 2.73730 + 0.660340i 0.165669 + 0.0399656i
\(274\) 0.519409 0.0313786
\(275\) −2.36304 16.4139i −0.142497 0.989795i
\(276\) 6.16127 + 10.6716i 0.370865 + 0.642357i
\(277\) 17.7363 + 4.75243i 1.06567 + 0.285546i 0.748714 0.662894i \(-0.230672\pi\)
0.316958 + 0.948439i \(0.397338\pi\)
\(278\) −3.40200 12.6964i −0.204039 0.761482i
\(279\) 2.43975i 0.146064i
\(280\) 4.85687 3.37799i 0.290253 0.201874i
\(281\) 15.7214i 0.937860i −0.883235 0.468930i \(-0.844640\pi\)
0.883235 0.468930i \(-0.155360\pi\)
\(282\) 2.13859 + 7.98134i 0.127351 + 0.475282i
\(283\) 0.738594 2.75647i 0.0439049 0.163855i −0.940493 0.339814i \(-0.889636\pi\)
0.984398 + 0.175959i \(0.0563025\pi\)
\(284\) −12.2302 + 7.06108i −0.725726 + 0.418998i
\(285\) −6.37316 + 30.9972i −0.377513 + 1.83612i
\(286\) −0.0451937 1.81161i −0.00267236 0.107123i
\(287\) 13.4766 + 12.8169i 0.795500 + 0.756559i
\(288\) 0.561489 + 0.561489i 0.0330861 + 0.0330861i
\(289\) −2.82866 1.63313i −0.166392 0.0960664i
\(290\) 9.34682 + 8.30385i 0.548864 + 0.487619i
\(291\) 1.50211 + 2.60173i 0.0880551 + 0.152516i
\(292\) −3.80926 14.2164i −0.222920 0.831950i
\(293\) −12.3542 12.3542i −0.721741 0.721741i 0.247219 0.968960i \(-0.420483\pi\)
−0.968960 + 0.247219i \(0.920483\pi\)
\(294\) −13.6177 + 0.683772i −0.794200 + 0.0398784i
\(295\) 6.04499 12.0619i 0.351953 0.702272i
\(296\) 1.67696 + 0.968191i 0.0974711 + 0.0562749i
\(297\) 13.8530 + 3.34396i 0.803832 + 0.194036i
\(298\) −10.4644 2.80393i −0.606187 0.162427i
\(299\) 1.72831 2.99353i 0.0999510 0.173120i
\(300\) 1.39526 9.63872i 0.0805554 0.556492i
\(301\) 21.7282 0.545164i 1.25239 0.0314227i
\(302\) −16.0937 16.0937i −0.926086 0.926086i
\(303\) −13.3177 + 3.56848i −0.765085 + 0.205004i
\(304\) 3.63284 + 6.29226i 0.208358 + 0.360886i
\(305\) −4.09988 + 0.242261i −0.234758 + 0.0138718i
\(306\) −1.47137 + 2.54848i −0.0841124 + 0.145687i
\(307\) −4.92527 + 4.92527i −0.281100 + 0.281100i −0.833548 0.552448i \(-0.813694\pi\)
0.552448 + 0.833548i \(0.313694\pi\)
\(308\) 2.69213 + 8.35179i 0.153398 + 0.475888i
\(309\) 9.21445i 0.524192i
\(310\) −1.38361 + 6.72950i −0.0785840 + 0.382210i
\(311\) 6.00343 + 10.3983i 0.340424 + 0.589631i 0.984511 0.175321i \(-0.0560962\pi\)
−0.644088 + 0.764952i \(0.722763\pi\)
\(312\) 0.275457 1.02802i 0.0155947 0.0582001i
\(313\) −5.26844 19.6621i −0.297790 1.11137i −0.938976 0.343982i \(-0.888224\pi\)
0.641186 0.767385i \(-0.278443\pi\)
\(314\) 0.0481081 0.00271490
\(315\) −3.03102 + 3.58913i −0.170779 + 0.202225i
\(316\) 3.34156i 0.187978i
\(317\) −7.81683 + 2.09451i −0.439037 + 0.117640i −0.471565 0.881831i \(-0.656311\pi\)
0.0325282 + 0.999471i \(0.489644\pi\)
\(318\) 7.25573 27.0788i 0.406881 1.51850i
\(319\) −15.8237 + 9.66987i −0.885960 + 0.541409i
\(320\) −1.23031 1.86717i −0.0687767 0.104378i
\(321\) 8.07780i 0.450859i
\(322\) −3.92517 + 16.2710i −0.218741 + 0.906747i
\(323\) −19.0395 + 19.0395i −1.05939 + 1.05939i
\(324\) 9.31121 + 5.37583i 0.517289 + 0.298657i
\(325\) −2.53724 + 1.01294i −0.140741 + 0.0561877i
\(326\) −11.2503 + 6.49537i −0.623097 + 0.359745i
\(327\) 3.21029 + 11.9810i 0.177530 + 0.662549i
\(328\) 4.97058 4.97058i 0.274454 0.274454i
\(329\) −5.36619 + 9.85754i −0.295848 + 0.543464i
\(330\) 13.0719 + 6.14817i 0.719582 + 0.338446i
\(331\) −9.20843 + 15.9495i −0.506141 + 0.876662i 0.493834 + 0.869556i \(0.335595\pi\)
−0.999975 + 0.00710573i \(0.997738\pi\)
\(332\) −5.32772 1.42756i −0.292396 0.0783474i
\(333\) −1.48522 0.397964i −0.0813896 0.0218083i
\(334\) −5.33736 3.08152i −0.292047 0.168614i
\(335\) −8.46714 25.4804i −0.462609 1.39214i
\(336\) 0.129261 + 5.15187i 0.00705179 + 0.281057i
\(337\) −18.7785 + 18.7785i −1.02293 + 1.02293i −0.0231967 + 0.999731i \(0.507384\pi\)
−0.999731 + 0.0231967i \(0.992616\pi\)
\(338\) 12.2687 3.28738i 0.667327 0.178810i
\(339\) −34.8628 + 20.1281i −1.89349 + 1.09321i
\(340\) 5.50371 6.19499i 0.298481 0.335970i
\(341\) −8.94934 4.87346i −0.484634 0.263912i
\(342\) −4.07960 4.07960i −0.220599 0.220599i
\(343\) −14.0433 12.0741i −0.758268 0.651942i
\(344\) 8.21506i 0.442926i
\(345\) 15.1606 + 23.0083i 0.816220 + 1.23873i
\(346\) 7.89401 + 13.6728i 0.424384 + 0.735055i
\(347\) 19.9297 + 5.34014i 1.06988 + 0.286674i 0.750445 0.660933i \(-0.229839\pi\)
0.319437 + 0.947607i \(0.396506\pi\)
\(348\) −10.5200 + 2.81882i −0.563929 + 0.151104i
\(349\) 11.4208 0.611343 0.305672 0.952137i \(-0.401119\pi\)
0.305672 + 0.952137i \(0.401119\pi\)
\(350\) 10.3958 8.18088i 0.555680 0.437286i
\(351\) 2.34774i 0.125313i
\(352\) 3.18121 0.938033i 0.169559 0.0499973i
\(353\) −17.7005 4.74284i −0.942103 0.252436i −0.245095 0.969499i \(-0.578819\pi\)
−0.697008 + 0.717063i \(0.745486\pi\)
\(354\) 5.87639 + 10.1782i 0.312327 + 0.540966i
\(355\) −26.3685 + 17.3747i −1.39949 + 0.922154i
\(356\) −13.5701 −0.719215
\(357\) −18.3178 + 5.40417i −0.969481 + 0.286019i
\(358\) −14.7939 14.7939i −0.781880 0.781880i
\(359\) −6.41258 + 11.1069i −0.338443 + 0.586201i −0.984140 0.177393i \(-0.943234\pi\)
0.645697 + 0.763594i \(0.276567\pi\)
\(360\) 1.32740 + 1.17928i 0.0699602 + 0.0621536i
\(361\) −16.8950 29.2630i −0.889212 1.54016i
\(362\) −1.02969 3.84286i −0.0541194 0.201976i
\(363\) −14.3763 + 15.8872i −0.754561 + 0.833862i
\(364\) 1.23342 0.753983i 0.0646487 0.0395195i
\(365\) −10.3781 31.2310i −0.543213 1.63470i
\(366\) 1.78881 3.09832i 0.0935028 0.161952i
\(367\) 0.360861 1.34675i 0.0188368 0.0702999i −0.955868 0.293798i \(-0.905081\pi\)
0.974704 + 0.223498i \(0.0717475\pi\)
\(368\) 6.11071 + 1.63736i 0.318543 + 0.0853533i
\(369\) −2.79093 + 4.83403i −0.145290 + 0.251649i
\(370\) 3.87096 + 1.93998i 0.201242 + 0.100855i
\(371\) 32.4892 19.8605i 1.68675 1.03110i
\(372\) −4.23181 4.23181i −0.219409 0.219409i
\(373\) −31.0140 + 8.31017i −1.60584 + 0.430284i −0.946801 0.321821i \(-0.895705\pi\)
−0.659043 + 0.752105i \(0.729038\pi\)
\(374\) 6.40910 + 10.4878i 0.331407 + 0.542313i
\(375\) 1.84313 21.6993i 0.0951789 1.12055i
\(376\) 3.67375 + 2.12104i 0.189459 + 0.109384i
\(377\) 2.16027 + 2.16027i 0.111259 + 0.111259i
\(378\) 3.21682 + 10.9036i 0.165456 + 0.560823i
\(379\) 37.9317i 1.94842i −0.225643 0.974210i \(-0.572448\pi\)
0.225643 0.974210i \(-0.427552\pi\)
\(380\) 8.93907 + 13.5663i 0.458564 + 0.695934i
\(381\) −15.1343 + 8.73777i −0.775352 + 0.447650i
\(382\) −9.38498 2.51470i −0.480177 0.128663i
\(383\) −6.14426 22.9307i −0.313957 1.17170i −0.924956 0.380073i \(-0.875899\pi\)
0.610999 0.791631i \(-0.290768\pi\)
\(384\) 1.94784 0.0994001
\(385\) 7.11090 + 18.2876i 0.362405 + 0.932021i
\(386\) 1.09335 0.0556500
\(387\) 1.68835 + 6.30102i 0.0858238 + 0.320299i
\(388\) 1.48978 + 0.399186i 0.0756322 + 0.0202656i
\(389\) 8.51106 4.91386i 0.431528 0.249143i −0.268469 0.963288i \(-0.586518\pi\)
0.699997 + 0.714145i \(0.253184\pi\)
\(390\) 0.479273 2.33105i 0.0242689 0.118037i
\(391\) 23.4446i 1.18564i
\(392\) −4.69530 + 5.19174i −0.237148 + 0.262223i
\(393\) 12.0878 + 12.0878i 0.609750 + 0.609750i
\(394\) −0.484739 0.279864i −0.0244208 0.0140994i
\(395\) 0.440747 + 7.45896i 0.0221764 + 0.375301i
\(396\) −2.24723 + 1.37328i −0.112928 + 0.0690099i
\(397\) 15.4014 4.12678i 0.772972 0.207117i 0.149288 0.988794i \(-0.452302\pi\)
0.623684 + 0.781677i \(0.285635\pi\)
\(398\) 6.91619 + 6.91619i 0.346677 + 0.346677i
\(399\) −0.939172 37.4318i −0.0470174 1.87393i
\(400\) −2.99255 4.00557i −0.149628 0.200279i
\(401\) −3.08656 + 5.34608i −0.154135 + 0.266970i −0.932744 0.360540i \(-0.882593\pi\)
0.778608 + 0.627510i \(0.215926\pi\)
\(402\) 22.5924 + 6.05360i 1.12680 + 0.301926i
\(403\) −0.434500 + 1.62158i −0.0216440 + 0.0807764i
\(404\) −3.53920 + 6.13007i −0.176082 + 0.304982i
\(405\) 21.4933 + 10.7717i 1.06801 + 0.535248i
\(406\) −12.9929 7.07302i −0.644828 0.351028i
\(407\) −4.42655 + 4.65306i −0.219416 + 0.230644i
\(408\) 1.86828 + 6.97253i 0.0924939 + 0.345192i
\(409\) −8.41009 14.5667i −0.415852 0.720277i 0.579665 0.814855i \(-0.303183\pi\)
−0.995517 + 0.0945777i \(0.969850\pi\)
\(410\) 10.4396 11.7508i 0.515574 0.580331i
\(411\) −0.505862 + 0.876178i −0.0249523 + 0.0432187i
\(412\) 3.34505 + 3.34505i 0.164799 + 0.164799i
\(413\) −3.74368 + 15.5187i −0.184214 + 0.763624i
\(414\) −5.02348 −0.246891
\(415\) −12.0807 2.48384i −0.593017 0.121927i
\(416\) −0.273196 0.473190i −0.0133945 0.0232000i
\(417\) 24.7306 + 6.62654i 1.21106 + 0.324503i
\(418\) −23.1136 + 6.81545i −1.13052 + 0.333354i
\(419\) 3.07735i 0.150338i 0.997171 + 0.0751691i \(0.0239497\pi\)
−0.997171 + 0.0751691i \(0.976050\pi\)
\(420\) 0.968058 + 11.4828i 0.0472364 + 0.560304i
\(421\) −7.58703 −0.369769 −0.184885 0.982760i \(-0.559191\pi\)
−0.184885 + 0.982760i \(0.559191\pi\)
\(422\) −11.8266 + 3.16892i −0.575709 + 0.154261i
\(423\) −3.25372 0.871831i −0.158201 0.0423899i
\(424\) −7.19619 12.4642i −0.349478 0.605314i
\(425\) 11.4681 14.5542i 0.556286 0.705983i
\(426\) 27.5077i 1.33275i
\(427\) 4.66090 1.37507i 0.225557 0.0665443i
\(428\) 2.93242 + 2.93242i 0.141744 + 0.141744i
\(429\) 3.09998 + 1.68813i 0.149669 + 0.0815036i
\(430\) −1.08355 18.3374i −0.0522536 0.884310i
\(431\) 8.33767 4.81375i 0.401611 0.231870i −0.285568 0.958359i \(-0.592182\pi\)
0.687179 + 0.726488i \(0.258849\pi\)
\(432\) 4.15039 1.11209i 0.199686 0.0535056i
\(433\) 1.29749 1.29749i 0.0623534 0.0623534i −0.675242 0.737596i \(-0.735961\pi\)
0.737596 + 0.675242i \(0.235961\pi\)
\(434\) −0.203894 8.12645i −0.00978725 0.390082i
\(435\) −23.1106 + 7.67966i −1.10807 + 0.368211i
\(436\) 5.51476 + 3.18395i 0.264109 + 0.152483i
\(437\) −44.3985 11.8965i −2.12387 0.569088i
\(438\) 27.6912 + 7.41982i 1.32313 + 0.354533i
\(439\) 6.84537 11.8565i 0.326712 0.565881i −0.655146 0.755503i \(-0.727393\pi\)
0.981857 + 0.189621i \(0.0607260\pi\)
\(440\) 6.97729 2.51345i 0.332629 0.119824i
\(441\) 2.53433 4.94709i 0.120682 0.235576i
\(442\) 1.43181 1.43181i 0.0681040 0.0681040i
\(443\) −6.44475 24.0521i −0.306199 1.14275i −0.931908 0.362695i \(-0.881857\pi\)
0.625709 0.780057i \(-0.284810\pi\)
\(444\) −3.26643 + 1.88588i −0.155018 + 0.0894998i
\(445\) −30.2909 + 1.78988i −1.43593 + 0.0848484i
\(446\) 2.91408 + 1.68245i 0.137986 + 0.0796662i
\(447\) 14.9214 14.9214i 0.705756 0.705756i
\(448\) 1.91716 + 1.82332i 0.0905775 + 0.0861436i
\(449\) 26.5851i 1.25463i 0.778766 + 0.627314i \(0.215846\pi\)
−0.778766 + 0.627314i \(0.784154\pi\)
\(450\) 3.11854 + 2.45728i 0.147009 + 0.115837i
\(451\) 12.1569 + 19.8936i 0.572448 + 0.936752i
\(452\) −5.34904 + 19.9629i −0.251598 + 0.938975i
\(453\) 42.8219 11.4741i 2.01195 0.539100i
\(454\) 9.35250i 0.438935i
\(455\) 2.65376 1.84571i 0.124410 0.0865281i
\(456\) −14.1523 −0.662744
\(457\) 0.409034 + 1.52654i 0.0191338 + 0.0714084i 0.974833 0.222938i \(-0.0715647\pi\)
−0.955699 + 0.294346i \(0.904898\pi\)
\(458\) 2.11068 7.87716i 0.0986255 0.368075i
\(459\) 7.96177 + 13.7902i 0.371623 + 0.643671i
\(460\) 13.8561 + 2.84888i 0.646046 + 0.132830i
\(461\) 4.90705i 0.228544i −0.993449 0.114272i \(-0.963546\pi\)
0.993449 0.114272i \(-0.0364536\pi\)
\(462\) −16.7103 3.59267i −0.777436 0.167146i
\(463\) 1.32933 1.32933i 0.0617790 0.0617790i −0.675542 0.737321i \(-0.736090\pi\)
0.737321 + 0.675542i \(0.236090\pi\)
\(464\) −2.79568 + 4.84227i −0.129786 + 0.224797i
\(465\) −10.0043 8.88797i −0.463939 0.412170i
\(466\) −1.10655 1.91661i −0.0512601 0.0887851i
\(467\) 40.5540 10.8664i 1.87661 0.502837i 0.876857 0.480751i \(-0.159636\pi\)
0.999756 0.0220859i \(-0.00703072\pi\)
\(468\) 0.306793 + 0.306793i 0.0141815 + 0.0141815i
\(469\) 16.5700 + 27.1064i 0.765131 + 1.25166i
\(470\) 8.48022 + 4.24998i 0.391164 + 0.196037i
\(471\) −0.0468534 + 0.0811524i −0.00215889 + 0.00373931i
\(472\) 5.82817 + 1.56165i 0.268263 + 0.0718809i
\(473\) 26.4856 + 6.39332i 1.21781 + 0.293965i
\(474\) −5.63680 3.25441i −0.258907 0.149480i
\(475\) 21.7429 + 29.1032i 0.997634 + 1.33535i
\(476\) −4.68793 + 8.61159i −0.214871 + 0.394712i
\(477\) 8.08117 + 8.08117i 0.370011 + 0.370011i
\(478\) 4.48244 + 16.7287i 0.205022 + 0.765152i
\(479\) 11.7094 + 20.2812i 0.535015 + 0.926674i 0.999163 + 0.0409157i \(0.0130275\pi\)
−0.464147 + 0.885758i \(0.653639\pi\)
\(480\) 4.34791 0.256917i 0.198454 0.0117266i
\(481\) 0.916276 + 0.529012i 0.0417786 + 0.0241209i
\(482\) −12.4659 12.4659i −0.567807 0.567807i
\(483\) −23.6244 22.4679i −1.07495 1.02232i
\(484\) 0.548485 + 10.9863i 0.0249311 + 0.499378i
\(485\) 3.37810 + 0.694552i 0.153392 + 0.0315380i
\(486\) −6.97330 + 4.02604i −0.316315 + 0.182625i
\(487\) 0.265878 0.992271i 0.0120481 0.0449641i −0.959640 0.281231i \(-0.909257\pi\)
0.971688 + 0.236267i \(0.0759240\pi\)
\(488\) −0.475378 1.77414i −0.0215194 0.0803113i
\(489\) 25.3038i 1.14428i
\(490\) −9.79593 + 12.2082i −0.442535 + 0.551509i
\(491\) 2.87607i 0.129795i −0.997892 0.0648976i \(-0.979328\pi\)
0.997892 0.0648976i \(-0.0206721\pi\)
\(492\) 3.54381 + 13.2257i 0.159767 + 0.596260i
\(493\) −20.0150 5.36301i −0.901432 0.241538i
\(494\) 1.98495 + 3.43804i 0.0893073 + 0.154685i
\(495\) −4.83508 + 3.36181i −0.217321 + 0.151102i
\(496\) −3.07248 −0.137958
\(497\) 25.7492 27.0745i 1.15501 1.21446i
\(498\) 7.59687 7.59687i 0.340424 0.340424i
\(499\) 28.1258 + 16.2385i 1.25908 + 0.726933i 0.972897 0.231241i \(-0.0742785\pi\)
0.286188 + 0.958173i \(0.407612\pi\)
\(500\) −7.20823 8.54643i −0.322362 0.382208i
\(501\) 10.3963 6.00230i 0.464472 0.268163i
\(502\) −3.99561 14.9118i −0.178333 0.665547i
\(503\) −2.51282 2.51282i −0.112041 0.112041i 0.648864 0.760905i \(-0.275245\pi\)
−0.760905 + 0.648864i \(0.775245\pi\)
\(504\) −1.84521 1.00448i −0.0821921 0.0447433i
\(505\) −7.09155 + 14.1502i −0.315570 + 0.629675i
\(506\) −10.0345 + 18.4268i −0.446089 + 0.819172i
\(507\) −6.40327 + 23.8973i −0.284379 + 1.06132i
\(508\) −2.32207 + 8.66607i −0.103025 + 0.384495i
\(509\) −22.3536 12.9058i −0.990804 0.572041i −0.0852895 0.996356i \(-0.527182\pi\)
−0.905515 + 0.424315i \(0.860515\pi\)
\(510\) 5.09000 + 15.3175i 0.225389 + 0.678270i
\(511\) 20.3096 + 33.2239i 0.898445 + 1.46974i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −30.1554 + 8.08011i −1.33139 + 0.356746i
\(514\) 5.73085 + 9.92613i 0.252777 + 0.437823i
\(515\) 7.90793 + 7.02552i 0.348465 + 0.309581i
\(516\) 13.8578 + 8.00079i 0.610055 + 0.352215i
\(517\) −9.69737 + 10.1936i −0.426490 + 0.448313i
\(518\) −4.98032 1.20144i −0.218823 0.0527881i
\(519\) −30.7525 −1.34988
\(520\) −0.672234 1.02021i −0.0294794 0.0447391i
\(521\) −10.6777 18.4944i −0.467800 0.810253i 0.531523 0.847044i \(-0.321620\pi\)
−0.999323 + 0.0367909i \(0.988286\pi\)
\(522\) 1.14913 4.28863i 0.0502962 0.187708i
\(523\) −28.2275 + 7.56353i −1.23430 + 0.330730i −0.816253 0.577695i \(-0.803952\pi\)
−0.418048 + 0.908425i \(0.637286\pi\)
\(524\) 8.77629 0.383394
\(525\) 3.67544 + 25.5040i 0.160409 + 1.11308i
\(526\) −21.8776 −0.953910
\(527\) −2.94700 10.9983i −0.128373 0.479095i
\(528\) −1.51589 + 6.27987i −0.0659707 + 0.273296i
\(529\) −14.7413 + 8.51088i −0.640925 + 0.370038i
\(530\) −17.7072 26.8730i −0.769150 1.16729i
\(531\) −4.79121 −0.207921
\(532\) −13.9295 13.2476i −0.603920 0.574357i
\(533\) 2.71589 2.71589i 0.117638 0.117638i
\(534\) 13.2162 22.8911i 0.571921 0.990596i
\(535\) 6.93245 + 6.15888i 0.299716 + 0.266272i
\(536\) 10.3991 6.00393i 0.449173 0.259330i
\(537\) 39.3634 10.5474i 1.69866 0.455154i
\(538\) 19.6874 + 19.6874i 0.848786 + 0.848786i
\(539\) −13.0842 19.1782i −0.563577 0.826063i
\(540\) 9.11771 3.02982i 0.392364 0.130383i
\(541\) −1.95940 1.13126i −0.0842410 0.0486366i 0.457288 0.889319i \(-0.348821\pi\)
−0.541529 + 0.840682i \(0.682154\pi\)
\(542\) −5.04877 + 18.8422i −0.216863 + 0.809344i
\(543\) 7.48526 + 2.00567i 0.321223 + 0.0860715i
\(544\) 3.20941 + 1.85295i 0.137602 + 0.0794447i
\(545\) 12.7299 + 6.37974i 0.545287 + 0.273278i
\(546\) 0.0706275 + 2.81494i 0.00302258 + 0.120468i
\(547\) 1.39712 1.39712i 0.0597363 0.0597363i −0.676608 0.736344i \(-0.736551\pi\)
0.736344 + 0.676608i \(0.236551\pi\)
\(548\) 0.134433 + 0.501711i 0.00574269 + 0.0214320i
\(549\) 0.729238 + 1.26308i 0.0311231 + 0.0539068i
\(550\) 15.2430 6.53075i 0.649964 0.278472i
\(551\) 20.3125 35.1823i 0.865343 1.49882i
\(552\) −8.71336 + 8.71336i −0.370865 + 0.370865i
\(553\) −2.50168 8.47962i −0.106382 0.360590i
\(554\) 18.3620i 0.780126i
\(555\) −7.04251 + 4.64044i −0.298938 + 0.196976i
\(556\) 11.3833 6.57217i 0.482760 0.278722i
\(557\) −6.04688 1.62026i −0.256215 0.0686525i 0.128425 0.991719i \(-0.459008\pi\)
−0.384640 + 0.923067i \(0.625674\pi\)
\(558\) 2.35662 0.631454i 0.0997636 0.0267316i
\(559\) 4.48864i 0.189849i
\(560\) 4.51994 + 3.81709i 0.191002 + 0.161301i
\(561\) −23.9336 + 0.597063i −1.01048 + 0.0252080i
\(562\) 15.1857 4.06900i 0.640570 0.171640i
\(563\) −4.22921 + 15.7836i −0.178240 + 0.665201i 0.817737 + 0.575592i \(0.195228\pi\)
−0.995977 + 0.0896089i \(0.971438\pi\)
\(564\) −7.15587 + 4.13145i −0.301317 + 0.173965i
\(565\) −9.30691 + 45.2662i −0.391545 + 1.90436i
\(566\) 2.85371 0.119950
\(567\) −27.6530 6.67092i −1.16131 0.280152i
\(568\) −9.98588 9.98588i −0.418998 0.418998i
\(569\) −7.27318 + 12.5975i −0.304908 + 0.528116i −0.977241 0.212133i \(-0.931959\pi\)
0.672333 + 0.740249i \(0.265292\pi\)
\(570\) −31.5905 + 1.86667i −1.32318 + 0.0781863i
\(571\) −28.9266 + 16.7008i −1.21054 + 0.698906i −0.962877 0.269940i \(-0.912996\pi\)
−0.247663 + 0.968846i \(0.579663\pi\)
\(572\) 1.73819 0.512534i 0.0726773 0.0214301i
\(573\) 13.3822 13.3822i 0.559049 0.559049i
\(574\) −8.89218 + 16.3347i −0.371153 + 0.681797i
\(575\) 31.3051 + 4.53159i 1.30551 + 0.188981i
\(576\) −0.397033 + 0.687681i −0.0165430 + 0.0286534i
\(577\) 1.03675 3.86920i 0.0431604 0.161077i −0.940982 0.338456i \(-0.890095\pi\)
0.984143 + 0.177379i \(0.0567620\pi\)
\(578\) 0.845370 3.15496i 0.0351628 0.131229i
\(579\) −1.06483 + 1.84434i −0.0442529 + 0.0766483i
\(580\) −5.60177 + 11.1775i −0.232601 + 0.464122i
\(581\) 14.5885 0.366028i 0.605232 0.0151854i
\(582\) −2.12430 + 2.12430i −0.0880551 + 0.0880551i
\(583\) 45.7852 13.5005i 1.89623 0.559135i
\(584\) 12.7460 7.35893i 0.527435 0.304515i
\(585\) 0.725282 + 0.644351i 0.0299867 + 0.0266406i
\(586\) 8.73575 15.1308i 0.360870 0.625046i
\(587\) 6.17604 + 6.17604i 0.254912 + 0.254912i 0.822981 0.568069i \(-0.192309\pi\)
−0.568069 + 0.822981i \(0.692309\pi\)
\(588\) −4.18499 12.9767i −0.172586 0.535151i
\(589\) 22.3236 0.919829
\(590\) 13.2155 + 2.71716i 0.544072 + 0.111864i
\(591\) 0.944193 0.545130i 0.0388389 0.0224237i
\(592\) −0.501172 + 1.87040i −0.0205981 + 0.0768730i
\(593\) 24.4101 6.54066i 1.00240 0.268593i 0.279950 0.960015i \(-0.409682\pi\)
0.722451 + 0.691422i \(0.243015\pi\)
\(594\) 0.355401 + 14.2464i 0.0145823 + 0.584538i
\(595\) −9.32842 + 19.8409i −0.382428 + 0.813398i
\(596\) 10.8335i 0.443759i
\(597\) −18.4025 + 4.93095i −0.753166 + 0.201810i
\(598\) 3.33885 + 0.894641i 0.136536 + 0.0365846i
\(599\) −9.26663 + 5.35009i −0.378624 + 0.218599i −0.677220 0.735781i \(-0.736815\pi\)
0.298595 + 0.954380i \(0.403482\pi\)
\(600\) 9.67141 1.14697i 0.394834 0.0468247i
\(601\) 37.5047i 1.52985i −0.644120 0.764924i \(-0.722776\pi\)
0.644120 0.764924i \(-0.277224\pi\)
\(602\) 6.15025 + 20.8467i 0.250666 + 0.849648i
\(603\) −6.74228 + 6.74228i −0.274567 + 0.274567i
\(604\) 11.3799 19.7106i 0.463043 0.802014i
\(605\) 2.67339 + 24.4510i 0.108689 + 0.994076i
\(606\) −6.89377 11.9404i −0.280040 0.485044i
\(607\) −4.39076 16.3865i −0.178215 0.665109i −0.995982 0.0895583i \(-0.971454\pi\)
0.817766 0.575551i \(-0.195212\pi\)
\(608\) −5.13761 + 5.13761i −0.208358 + 0.208358i
\(609\) 24.5853 15.0289i 0.996249 0.609002i
\(610\) −1.29513 3.89748i −0.0524384 0.157804i
\(611\) 2.00731 + 1.15892i 0.0812071 + 0.0468850i
\(612\) −2.84246 0.761635i −0.114900 0.0307873i
\(613\) 0.963961 3.59755i 0.0389340 0.145304i −0.943723 0.330738i \(-0.892702\pi\)
0.982657 + 0.185434i \(0.0593691\pi\)
\(614\) −6.03220 3.48269i −0.243440 0.140550i
\(615\) 9.65485 + 29.0546i 0.389321 + 1.17159i
\(616\) −7.37044 + 4.76200i −0.296963 + 0.191867i
\(617\) −1.51321 1.51321i −0.0609196 0.0609196i 0.675991 0.736910i \(-0.263716\pi\)
−0.736910 + 0.675991i \(0.763716\pi\)
\(618\) −8.90048 + 2.38488i −0.358030 + 0.0959338i
\(619\) 20.2956 11.7177i 0.815748 0.470972i −0.0331998 0.999449i \(-0.510570\pi\)
0.848948 + 0.528476i \(0.177236\pi\)
\(620\) −6.85831 + 0.405255i −0.275436 + 0.0162754i
\(621\) −13.5914 + 23.5409i −0.545403 + 0.944665i
\(622\) −8.49014 + 8.49014i −0.340424 + 0.340424i
\(623\) 34.4358 10.1594i 1.37964 0.407026i
\(624\) 1.06428 0.0426054
\(625\) −17.2173 18.1264i −0.688692 0.725054i
\(626\) 17.6286 10.1779i 0.704579 0.406789i
\(627\) 11.0140 45.6275i 0.439856 1.82219i
\(628\) 0.0124513 + 0.0464689i 0.000496861 + 0.00185431i
\(629\) −7.17605 −0.286128
\(630\) −4.25132 1.99880i −0.169377 0.0796343i
\(631\) 26.0471 1.03692 0.518459 0.855103i \(-0.326506\pi\)
0.518459 + 0.855103i \(0.326506\pi\)
\(632\) −3.22770 + 0.864861i −0.128391 + 0.0344023i
\(633\) 6.17254 23.0362i 0.245337 0.915608i
\(634\) −4.04629 7.00838i −0.160699 0.278338i
\(635\) −4.04021 + 19.6505i −0.160331 + 0.779804i
\(636\) 28.0340 1.11162
\(637\) −2.56547 + 2.83673i −0.101648 + 0.112395i
\(638\) −13.4359 12.7818i −0.531931 0.506037i
\(639\) 9.71155 + 5.60697i 0.384183 + 0.221808i
\(640\) 1.48512 1.67165i 0.0587045 0.0660778i
\(641\) 7.22923 + 12.5214i 0.285537 + 0.494565i 0.972739 0.231901i \(-0.0744946\pi\)
−0.687202 + 0.726466i \(0.741161\pi\)
\(642\) −7.80255 + 2.09069i −0.307942 + 0.0825129i
\(643\) −1.26582 + 1.26582i −0.0499190 + 0.0499190i −0.731626 0.681707i \(-0.761238\pi\)
0.681707 + 0.731626i \(0.261238\pi\)
\(644\) −16.7325 + 0.419822i −0.659352 + 0.0165433i
\(645\) 31.9883 + 16.0313i 1.25954 + 0.631234i
\(646\) −23.3185 13.4630i −0.917455 0.529693i
\(647\) 4.07153 15.1952i 0.160068 0.597384i −0.838549 0.544826i \(-0.816596\pi\)
0.998618 0.0525581i \(-0.0167375\pi\)
\(648\) −2.78273 + 10.3853i −0.109316 + 0.407973i
\(649\) −9.57055 + 17.5748i −0.375677 + 0.689872i
\(650\) −1.63511 2.18861i −0.0641342 0.0858445i
\(651\) 13.9069 + 7.57056i 0.545054 + 0.296714i
\(652\) −9.18584 9.18584i −0.359745 0.359745i
\(653\) 4.46960 + 16.6808i 0.174909 + 0.652769i 0.996567 + 0.0827884i \(0.0263826\pi\)
−0.821658 + 0.569980i \(0.806951\pi\)
\(654\) −10.7418 + 6.20181i −0.420039 + 0.242510i
\(655\) 19.5902 1.15758i 0.765453 0.0452304i
\(656\) 6.08769 + 3.51473i 0.237684 + 0.137227i
\(657\) −8.26393 + 8.26393i −0.322406 + 0.322406i
\(658\) −10.9105 2.63202i −0.425337 0.102607i
\(659\) −20.1514 −0.784986 −0.392493 0.919755i \(-0.628387\pi\)
−0.392493 + 0.919755i \(0.628387\pi\)
\(660\) −2.55543 + 14.2177i −0.0994700 + 0.553424i
\(661\) 8.58081 + 14.8624i 0.333755 + 0.578080i 0.983245 0.182290i \(-0.0583509\pi\)
−0.649490 + 0.760370i \(0.725018\pi\)
\(662\) −17.7893 4.76663i −0.691402 0.185261i
\(663\) 1.02082 + 3.80974i 0.0396452 + 0.147958i
\(664\) 5.51566i 0.214049i
\(665\) −32.8404 27.7337i −1.27350 1.07547i
\(666\) 1.53761i 0.0595813i
\(667\) −9.15509 34.1672i −0.354486 1.32296i
\(668\) 1.59511 5.95305i 0.0617168 0.230330i
\(669\) −5.67616 + 3.27713i −0.219453 + 0.126701i
\(670\) 22.4207 14.7734i 0.866187 0.570748i
\(671\) 6.08982 0.151920i 0.235095 0.00586483i
\(672\) −4.94287 + 1.45826i −0.190675 + 0.0562536i
\(673\) −23.1337 23.1337i −0.891739 0.891739i 0.102948 0.994687i \(-0.467172\pi\)
−0.994687 + 0.102948i \(0.967172\pi\)
\(674\) −22.9988 13.2784i −0.885881 0.511464i
\(675\) 19.9527 7.96569i 0.767979 0.306600i
\(676\) 6.35073 + 10.9998i 0.244259 + 0.423069i
\(677\) −12.5289 46.7585i −0.481525 1.79707i −0.595224 0.803560i \(-0.702937\pi\)
0.113700 0.993515i \(-0.463730\pi\)
\(678\) −28.4654 28.4654i −1.09321 1.09321i
\(679\) −4.07935 + 0.102352i −0.156551 + 0.00392790i
\(680\) 7.40836 + 3.71280i 0.284098 + 0.142379i
\(681\) −15.7765 9.10857i −0.604557 0.349041i
\(682\) 2.39114 9.90574i 0.0915614 0.379311i
\(683\) −17.5159 4.69338i −0.670229 0.179587i −0.0923708 0.995725i \(-0.529445\pi\)
−0.577858 + 0.816137i \(0.696111\pi\)
\(684\) 2.88471 4.99647i 0.110300 0.191045i
\(685\) 0.366253 + 1.10217i 0.0139938 + 0.0421119i
\(686\) 8.02805 16.6898i 0.306512 0.637221i
\(687\) 11.2322 + 11.2322i 0.428533 + 0.428533i
\(688\) 7.93514 2.12621i 0.302524 0.0810611i
\(689\) −3.93194 6.81033i −0.149795 0.259453i
\(690\) −18.3005 + 20.5990i −0.696686 + 0.784191i
\(691\) −7.12026 + 12.3326i −0.270867 + 0.469156i −0.969084 0.246730i \(-0.920644\pi\)
0.698217 + 0.715886i \(0.253977\pi\)
\(692\) −11.1638 + 11.1638i −0.424384 + 0.424384i
\(693\) 4.67451 5.16726i 0.177570 0.196288i
\(694\) 20.6327i 0.783208i
\(695\) 24.5427 16.1717i 0.930958 0.613426i
\(696\) −5.44553 9.43194i −0.206412 0.357517i
\(697\) −6.74237 + 25.1629i −0.255385 + 0.953111i
\(698\) 2.95593 + 11.0317i 0.111884 + 0.417555i
\(699\) 4.31077 0.163048
\(700\) 10.5928 + 7.92423i 0.400369 + 0.299508i
\(701\) 2.53145i 0.0956117i −0.998857 0.0478058i \(-0.984777\pi\)
0.998857 0.0478058i \(-0.0152229\pi\)
\(702\) 2.26774 0.607639i 0.0855903 0.0229339i
\(703\) 3.64136 13.5897i 0.137336 0.512546i
\(704\) 1.72943 + 2.83003i 0.0651803 + 0.106661i
\(705\) −15.4282 + 10.1660i −0.581061 + 0.382872i
\(706\) 18.3249i 0.689667i
\(707\) 4.39182 18.2054i 0.165172 0.684685i
\(708\) −8.31047 + 8.31047i −0.312327 + 0.312327i
\(709\) 28.2548 + 16.3129i 1.06113 + 0.612644i 0.925745 0.378149i \(-0.123439\pi\)
0.135386 + 0.990793i \(0.456773\pi\)
\(710\) −23.6074 20.9731i −0.885968 0.787107i
\(711\) 2.29793 1.32671i 0.0861791 0.0497556i
\(712\) −3.51221 13.1077i −0.131626 0.491233i
\(713\) 13.7443 13.7443i 0.514727 0.514727i
\(714\) −9.96102 16.2949i −0.372782 0.609823i
\(715\) 3.81234 1.37333i 0.142573 0.0513596i
\(716\) 10.4608 18.1187i 0.390940 0.677128i
\(717\) −32.5847 8.73106i −1.21690 0.326067i
\(718\) −12.3882 3.31940i −0.462322 0.123879i
\(719\) 7.00294 + 4.04315i 0.261166 + 0.150784i 0.624866 0.780732i \(-0.285153\pi\)
−0.363700 + 0.931516i \(0.618487\pi\)
\(720\) −0.795543 + 1.58739i −0.0296481 + 0.0591586i
\(721\) −10.9927 5.98417i −0.409391 0.222862i
\(722\) 23.8932 23.8932i 0.889212 0.889212i
\(723\) 33.1692 8.88767i 1.23358 0.330536i
\(724\) 3.44541 1.98921i 0.128048 0.0739284i
\(725\) −11.0298 + 25.6891i −0.409637 + 0.954068i
\(726\) −19.0667 9.77455i −0.707633 0.362767i
\(727\) 8.40403 + 8.40403i 0.311688 + 0.311688i 0.845563 0.533875i \(-0.179265\pi\)
−0.533875 + 0.845563i \(0.679265\pi\)
\(728\) 1.04752 + 0.996245i 0.0388238 + 0.0369233i
\(729\) 16.5709i 0.613735i
\(730\) 27.4808 18.1076i 1.01711 0.670193i
\(731\) 15.2221 + 26.3655i 0.563010 + 0.975163i
\(732\) 3.45572 + 0.925959i 0.127727 + 0.0342244i
\(733\) 25.8612 6.92950i 0.955207 0.255947i 0.252636 0.967561i \(-0.418702\pi\)
0.702570 + 0.711614i \(0.252036\pi\)
\(734\) 1.39426 0.0514631
\(735\) −11.0532 28.4143i −0.407705 1.04808i
\(736\) 6.32628i 0.233190i
\(737\) 11.2638 + 38.1995i 0.414906 + 1.40710i
\(738\) −5.39166 1.44469i −0.198470 0.0531798i
\(739\) 10.6878 + 18.5119i 0.393158 + 0.680970i 0.992864 0.119250i \(-0.0380491\pi\)
−0.599706 + 0.800220i \(0.704716\pi\)
\(740\) −0.872001 + 4.24116i −0.0320554 + 0.155908i
\(741\) −7.73273 −0.284069
\(742\) 27.5926 + 26.2419i 1.01296 + 0.963369i
\(743\) 21.2556 + 21.2556i 0.779794 + 0.779794i 0.979796 0.200002i \(-0.0640948\pi\)
−0.200002 + 0.979796i \(0.564095\pi\)
\(744\) 2.99234 5.18289i 0.109705 0.190014i
\(745\) −1.42893 24.1824i −0.0523519 0.885973i
\(746\) −16.0540 27.8064i −0.587780 1.01806i
\(747\) 1.13357 + 4.23056i 0.0414753 + 0.154788i
\(748\) −8.47167 + 8.90516i −0.309755 + 0.325605i
\(749\) −9.63673 5.24599i −0.352118 0.191684i
\(750\) 21.4370 3.83587i 0.782768 0.140066i
\(751\) 18.9952 32.9007i 0.693145 1.20056i −0.277657 0.960680i \(-0.589558\pi\)
0.970802 0.239882i \(-0.0771088\pi\)
\(752\) −1.09793 + 4.09754i −0.0400375 + 0.149422i
\(753\) 29.0458 + 7.78279i 1.05849 + 0.283621i
\(754\) −1.52754 + 2.64578i −0.0556297 + 0.0963535i
\(755\) 22.8022 45.4986i 0.829857 1.65586i
\(756\) −9.69953 + 5.92928i −0.352769 + 0.215646i
\(757\) −30.7167 30.7167i −1.11642 1.11642i −0.992263 0.124156i \(-0.960378\pi\)
−0.124156 0.992263i \(-0.539622\pi\)
\(758\) 36.6392 9.81744i 1.33080 0.356586i
\(759\) −21.3110 34.8732i −0.773539 1.26582i
\(760\) −10.7904 + 12.1457i −0.391409 + 0.440570i
\(761\) 31.2865 + 18.0633i 1.13414 + 0.654794i 0.944972 0.327152i \(-0.106089\pi\)
0.189164 + 0.981946i \(0.439422\pi\)
\(762\) −12.3571 12.3571i −0.447650 0.447650i
\(763\) −16.3780 3.95099i −0.592925 0.143036i
\(764\) 9.71604i 0.351514i
\(765\) −6.44533 1.32519i −0.233031 0.0479122i
\(766\) 20.5591 11.8698i 0.742831 0.428874i
\(767\) 3.18447 + 0.853275i 0.114984 + 0.0308100i
\(768\) 0.504137 + 1.88147i 0.0181915 + 0.0678915i
\(769\) 21.5623 0.777557 0.388779 0.921331i \(-0.372897\pi\)
0.388779 + 0.921331i \(0.372897\pi\)
\(770\) −15.8240 + 11.6018i −0.570257 + 0.418099i
\(771\) −22.3255 −0.804034
\(772\) 0.282979 + 1.05609i 0.0101847 + 0.0380096i
\(773\) 25.0017 + 6.69919i 0.899250 + 0.240953i 0.678694 0.734421i \(-0.262546\pi\)
0.220556 + 0.975374i