Properties

Label 384.2.w.a.251.5
Level $384$
Weight $2$
Character 384.251
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 251.5
Character \(\chi\) \(=\) 384.251
Dual form 384.2.w.a.179.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37600 + 0.326534i) q^{2} +(0.0779601 + 1.73030i) q^{3} +(1.78675 - 0.898623i) q^{4} +(-0.296184 + 3.00721i) q^{5} +(-0.672274 - 2.35543i) q^{6} +(0.110643 - 0.0739290i) q^{7} +(-2.16514 + 1.81994i) q^{8} +(-2.98784 + 0.269788i) q^{9} +O(q^{10})\) \(q+(-1.37600 + 0.326534i) q^{2} +(0.0779601 + 1.73030i) q^{3} +(1.78675 - 0.898623i) q^{4} +(-0.296184 + 3.00721i) q^{5} +(-0.672274 - 2.35543i) q^{6} +(0.110643 - 0.0739290i) q^{7} +(-2.16514 + 1.81994i) q^{8} +(-2.98784 + 0.269788i) q^{9} +(-0.574407 - 4.23463i) q^{10} +(-1.00961 + 1.88884i) q^{11} +(1.69418 + 3.02155i) q^{12} +(0.0663469 + 0.673631i) q^{13} +(-0.128104 + 0.137855i) q^{14} +(-5.22644 - 0.278044i) q^{15} +(2.38495 - 3.21123i) q^{16} +(-0.0442622 - 0.106858i) q^{17} +(4.02318 - 1.34686i) q^{18} +(2.33102 + 1.91302i) q^{19} +(2.17314 + 5.63928i) q^{20} +(0.136545 + 0.185681i) q^{21} +(0.772446 - 2.92871i) q^{22} +(-1.27439 - 6.40681i) q^{23} +(-3.31783 - 3.60444i) q^{24} +(-4.05163 - 0.805920i) q^{25} +(-0.311257 - 0.905251i) q^{26} +(-0.699746 - 5.14882i) q^{27} +(0.131256 - 0.231518i) q^{28} +(0.984464 + 1.84180i) q^{29} +(7.28238 - 1.32403i) q^{30} +(-4.49674 + 4.49674i) q^{31} +(-2.23312 + 5.19742i) q^{32} +(-3.34696 - 1.59966i) q^{33} +(0.0957978 + 0.132584i) q^{34} +(0.189549 + 0.354621i) q^{35} +(-5.09609 + 3.16699i) q^{36} +(-1.32920 + 1.09085i) q^{37} +(-3.83215 - 1.87116i) q^{38} +(-1.16041 + 0.167316i) q^{39} +(-4.83166 - 7.05005i) q^{40} +(1.34140 + 6.74369i) q^{41} +(-0.248517 - 0.210910i) q^{42} +(-2.62582 - 8.65616i) q^{43} +(-0.106559 + 4.28214i) q^{44} +(0.0736431 - 9.06497i) q^{45} +(3.84561 + 8.39964i) q^{46} +(-4.07173 - 9.83003i) q^{47} +(5.74231 + 3.87633i) q^{48} +(-2.67201 + 6.45080i) q^{49} +(5.83821 - 0.214052i) q^{50} +(0.181446 - 0.0849174i) q^{51} +(0.723885 + 1.14399i) q^{52} +(-0.483478 + 0.904523i) q^{53} +(2.64412 + 6.85628i) q^{54} +(-5.38110 - 3.59554i) q^{55} +(-0.105010 + 0.361429i) q^{56} +(-3.12836 + 4.18250i) q^{57} +(-1.95603 - 2.21286i) q^{58} +(-0.185069 + 1.87904i) q^{59} +(-9.58821 + 4.19981i) q^{60} +(-4.28587 + 14.1286i) q^{61} +(4.71917 - 7.65585i) q^{62} +(-0.310637 + 0.250738i) q^{63} +(1.37563 - 7.88084i) q^{64} -2.04540 q^{65} +(5.12776 + 1.10824i) q^{66} +(11.9894 + 3.63694i) q^{67} +(-0.175111 - 0.151154i) q^{68} +(10.9863 - 2.70455i) q^{69} +(-0.376616 - 0.426065i) q^{70} +(6.31206 - 4.21758i) q^{71} +(5.97809 - 6.02183i) q^{72} +(0.325981 - 0.487866i) q^{73} +(1.47278 - 1.93503i) q^{74} +(1.07861 - 7.07335i) q^{75} +(5.88404 + 1.32338i) q^{76} +(0.0279346 + 0.283625i) q^{77} +(1.54209 - 0.609140i) q^{78} +(-6.16613 - 2.55409i) q^{79} +(8.95044 + 8.12316i) q^{80} +(8.85443 - 1.61217i) q^{81} +(-4.04782 - 8.84131i) q^{82} +(11.7568 + 9.64859i) q^{83} +(0.410828 + 0.209063i) q^{84} +(0.334455 - 0.101456i) q^{85} +(6.43966 + 11.0535i) q^{86} +(-3.11011 + 1.84700i) q^{87} +(-1.25164 - 5.92702i) q^{88} +(11.3154 + 2.25077i) q^{89} +(2.85869 + 12.4974i) q^{90} +(0.0571416 + 0.0696273i) q^{91} +(-8.03433 - 10.3022i) q^{92} +(-8.13125 - 7.43012i) q^{93} +(8.81254 + 12.1966i) q^{94} +(-6.44326 + 6.44326i) q^{95} +(-9.16717 - 3.45876i) q^{96} +(12.8370 + 12.8370i) q^{97} +(1.57027 - 9.74880i) q^{98} +(2.50696 - 5.91594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37600 + 0.326534i −0.972979 + 0.230895i
\(3\) 0.0779601 + 1.73030i 0.0450103 + 0.998987i
\(4\) 1.78675 0.898623i 0.893375 0.449311i
\(5\) −0.296184 + 3.00721i −0.132457 + 1.34486i 0.667412 + 0.744689i \(0.267402\pi\)
−0.799869 + 0.600174i \(0.795098\pi\)
\(6\) −0.672274 2.35543i −0.274455 0.961600i
\(7\) 0.110643 0.0739290i 0.0418189 0.0279425i −0.534485 0.845178i \(-0.679494\pi\)
0.576304 + 0.817235i \(0.304494\pi\)
\(8\) −2.16514 + 1.81994i −0.765491 + 0.643446i
\(9\) −2.98784 + 0.269788i −0.995948 + 0.0899294i
\(10\) −0.574407 4.23463i −0.181644 1.33911i
\(11\) −1.00961 + 1.88884i −0.304408 + 0.569507i −0.986890 0.161396i \(-0.948400\pi\)
0.682482 + 0.730902i \(0.260900\pi\)
\(12\) 1.69418 + 3.02155i 0.489067 + 0.872246i
\(13\) 0.0663469 + 0.673631i 0.0184013 + 0.186832i 0.999991 0.00416855i \(-0.00132690\pi\)
−0.981590 + 0.191000i \(0.938827\pi\)
\(14\) −0.128104 + 0.137855i −0.0342372 + 0.0368433i
\(15\) −5.22644 0.278044i −1.34946 0.0717905i
\(16\) 2.38495 3.21123i 0.596239 0.802807i
\(17\) −0.0442622 0.106858i −0.0107352 0.0259170i 0.918421 0.395604i \(-0.129465\pi\)
−0.929156 + 0.369687i \(0.879465\pi\)
\(18\) 4.02318 1.34686i 0.948272 0.317459i
\(19\) 2.33102 + 1.91302i 0.534773 + 0.438877i 0.862619 0.505854i \(-0.168823\pi\)
−0.327846 + 0.944731i \(0.606323\pi\)
\(20\) 2.17314 + 5.63928i 0.485928 + 1.26098i
\(21\) 0.136545 + 0.185681i 0.0297965 + 0.0405189i
\(22\) 0.772446 2.92871i 0.164686 0.624404i
\(23\) −1.27439 6.40681i −0.265730 1.33591i −0.851039 0.525103i \(-0.824027\pi\)
0.585309 0.810810i \(-0.300973\pi\)
\(24\) −3.31783 3.60444i −0.677249 0.735754i
\(25\) −4.05163 0.805920i −0.810327 0.161184i
\(26\) −0.311257 0.905251i −0.0610425 0.177534i
\(27\) −0.699746 5.14882i −0.134666 0.990891i
\(28\) 0.131256 0.231518i 0.0248051 0.0437529i
\(29\) 0.984464 + 1.84180i 0.182810 + 0.342014i 0.956588 0.291443i \(-0.0941353\pi\)
−0.773778 + 0.633457i \(0.781635\pi\)
\(30\) 7.28238 1.32403i 1.32957 0.241733i
\(31\) −4.49674 + 4.49674i −0.807638 + 0.807638i −0.984276 0.176638i \(-0.943478\pi\)
0.176638 + 0.984276i \(0.443478\pi\)
\(32\) −2.23312 + 5.19742i −0.394763 + 0.918783i
\(33\) −3.34696 1.59966i −0.582631 0.278465i
\(34\) 0.0957978 + 0.132584i 0.0164292 + 0.0227380i
\(35\) 0.189549 + 0.354621i 0.0320396 + 0.0599419i
\(36\) −5.09609 + 3.16699i −0.849349 + 0.527831i
\(37\) −1.32920 + 1.09085i −0.218519 + 0.179334i −0.737284 0.675583i \(-0.763892\pi\)
0.518765 + 0.854917i \(0.326392\pi\)
\(38\) −3.83215 1.87116i −0.621657 0.303542i
\(39\) −1.16041 + 0.167316i −0.185814 + 0.0267920i
\(40\) −4.83166 7.05005i −0.763952 1.11471i
\(41\) 1.34140 + 6.74369i 0.209492 + 1.05319i 0.932175 + 0.362008i \(0.117909\pi\)
−0.722683 + 0.691180i \(0.757091\pi\)
\(42\) −0.248517 0.210910i −0.0383469 0.0325441i
\(43\) −2.62582 8.65616i −0.400433 1.32005i −0.893110 0.449839i \(-0.851481\pi\)
0.492676 0.870213i \(-0.336019\pi\)
\(44\) −0.106559 + 4.28214i −0.0160644 + 0.645557i
\(45\) 0.0736431 9.06497i 0.0109781 1.35133i
\(46\) 3.84561 + 8.39964i 0.567004 + 1.23846i
\(47\) −4.07173 9.83003i −0.593923 1.43386i −0.879685 0.475556i \(-0.842247\pi\)
0.285762 0.958301i \(-0.407753\pi\)
\(48\) 5.74231 + 3.87633i 0.828831 + 0.559500i
\(49\) −2.67201 + 6.45080i −0.381715 + 0.921542i
\(50\) 5.83821 0.214052i 0.825647 0.0302716i
\(51\) 0.181446 0.0849174i 0.0254075 0.0118908i
\(52\) 0.723885 + 1.14399i 0.100385 + 0.158643i
\(53\) −0.483478 + 0.904523i −0.0664108 + 0.124246i −0.912936 0.408103i \(-0.866190\pi\)
0.846525 + 0.532349i \(0.178690\pi\)
\(54\) 2.64412 + 6.85628i 0.359819 + 0.933022i
\(55\) −5.38110 3.59554i −0.725587 0.484822i
\(56\) −0.105010 + 0.361429i −0.0140325 + 0.0482980i
\(57\) −3.12836 + 4.18250i −0.414362 + 0.553985i
\(58\) −1.95603 2.21286i −0.256840 0.290563i
\(59\) −0.185069 + 1.87904i −0.0240939 + 0.244630i 0.975592 + 0.219589i \(0.0704716\pi\)
−0.999686 + 0.0250409i \(0.992028\pi\)
\(60\) −9.58821 + 4.19981i −1.23783 + 0.542193i
\(61\) −4.28587 + 14.1286i −0.548750 + 1.80899i 0.0380789 + 0.999275i \(0.487876\pi\)
−0.586829 + 0.809711i \(0.699624\pi\)
\(62\) 4.71917 7.65585i 0.599335 0.972294i
\(63\) −0.310637 + 0.250738i −0.0391366 + 0.0315901i
\(64\) 1.37563 7.88084i 0.171954 0.985105i
\(65\) −2.04540 −0.253700
\(66\) 5.12776 + 1.10824i 0.631184 + 0.136415i
\(67\) 11.9894 + 3.63694i 1.46474 + 0.444323i 0.919209 0.393771i \(-0.128830\pi\)
0.545527 + 0.838093i \(0.316330\pi\)
\(68\) −0.175111 0.151154i −0.0212353 0.0183302i
\(69\) 10.9863 2.70455i 1.32260 0.325590i
\(70\) −0.376616 0.426065i −0.0450142 0.0509245i
\(71\) 6.31206 4.21758i 0.749103 0.500535i −0.121457 0.992597i \(-0.538757\pi\)
0.870560 + 0.492062i \(0.163757\pi\)
\(72\) 5.97809 6.02183i 0.704525 0.709679i
\(73\) 0.325981 0.487866i 0.0381532 0.0571004i −0.811903 0.583793i \(-0.801568\pi\)
0.850056 + 0.526692i \(0.176568\pi\)
\(74\) 1.47278 1.93503i 0.171207 0.224943i
\(75\) 1.07861 7.07335i 0.124548 0.816761i
\(76\) 5.88404 + 1.32338i 0.674946 + 0.151802i
\(77\) 0.0279346 + 0.283625i 0.00318345 + 0.0323221i
\(78\) 1.54209 0.609140i 0.174607 0.0689715i
\(79\) −6.16613 2.55409i −0.693744 0.287358i 0.00781516 0.999969i \(-0.497512\pi\)
−0.701559 + 0.712611i \(0.747512\pi\)
\(80\) 8.95044 + 8.12316i 1.00069 + 0.908197i
\(81\) 8.85443 1.61217i 0.983825 0.179130i
\(82\) −4.04782 8.84131i −0.447007 0.976359i
\(83\) 11.7568 + 9.64859i 1.29048 + 1.05907i 0.994593 + 0.103848i \(0.0331154\pi\)
0.295888 + 0.955223i \(0.404385\pi\)
\(84\) 0.410828 + 0.209063i 0.0448250 + 0.0228106i
\(85\) 0.334455 0.101456i 0.0362768 0.0110044i
\(86\) 6.43966 + 11.0535i 0.694406 + 1.19192i
\(87\) −3.11011 + 1.84700i −0.333439 + 0.198019i
\(88\) −1.25164 5.92702i −0.133425 0.631822i
\(89\) 11.3154 + 2.25077i 1.19943 + 0.238581i 0.754083 0.656779i \(-0.228082\pi\)
0.445343 + 0.895360i \(0.353082\pi\)
\(90\) 2.85869 + 12.4974i 0.301333 + 1.31735i
\(91\) 0.0571416 + 0.0696273i 0.00599007 + 0.00729892i
\(92\) −8.03433 10.3022i −0.837637 1.07408i
\(93\) −8.13125 7.43012i −0.843171 0.770467i
\(94\) 8.81254 + 12.1966i 0.908945 + 1.25798i
\(95\) −6.44326 + 6.44326i −0.661064 + 0.661064i
\(96\) −9.16717 3.45876i −0.935620 0.353009i
\(97\) 12.8370 + 12.8370i 1.30340 + 1.30340i 0.926084 + 0.377318i \(0.123154\pi\)
0.377318 + 0.926084i \(0.376846\pi\)
\(98\) 1.57027 9.74880i 0.158622 0.984777i
\(99\) 2.50696 5.91594i 0.251959 0.594574i
\(100\) −7.96348 + 2.20091i −0.796348 + 0.220091i
\(101\) −2.59949 + 2.13334i −0.258659 + 0.212276i −0.754781 0.655977i \(-0.772257\pi\)
0.496122 + 0.868253i \(0.334757\pi\)
\(102\) −0.221941 + 0.176095i −0.0219755 + 0.0174360i
\(103\) −3.11820 + 15.6762i −0.307245 + 1.54463i 0.450921 + 0.892564i \(0.351096\pi\)
−0.758166 + 0.652062i \(0.773904\pi\)
\(104\) −1.36962 1.33776i −0.134302 0.131178i
\(105\) −0.598822 + 0.355622i −0.0584391 + 0.0347052i
\(106\) 0.369907 1.40250i 0.0359286 0.136222i
\(107\) −0.196689 0.648398i −0.0190147 0.0626830i 0.946920 0.321470i \(-0.104177\pi\)
−0.965934 + 0.258787i \(0.916677\pi\)
\(108\) −5.87712 8.57085i −0.565526 0.824730i
\(109\) 11.3297 13.8053i 1.08519 1.32231i 0.142068 0.989857i \(-0.454625\pi\)
0.943121 0.332450i \(-0.107875\pi\)
\(110\) 8.57846 + 3.19034i 0.817924 + 0.304187i
\(111\) −1.99111 2.21487i −0.188988 0.210226i
\(112\) 0.0264745 0.531616i 0.00250161 0.0502330i
\(113\) 3.38306 8.16744i 0.318252 0.768328i −0.681095 0.732195i \(-0.738496\pi\)
0.999347 0.0361329i \(-0.0115040\pi\)
\(114\) 2.93890 6.77663i 0.275253 0.634690i
\(115\) 19.6441 1.93477i 1.83182 0.180418i
\(116\) 3.41408 + 2.40618i 0.316989 + 0.223408i
\(117\) −0.379972 1.99480i −0.0351284 0.184420i
\(118\) −0.358916 2.64599i −0.0330409 0.243583i
\(119\) −0.0127972 0.00855083i −0.00117312 0.000783853i
\(120\) 11.8220 8.90981i 1.07920 0.813351i
\(121\) 3.56286 + 5.33220i 0.323897 + 0.484745i
\(122\) 1.28388 20.8405i 0.116237 1.88681i
\(123\) −11.5640 + 2.84676i −1.04269 + 0.256684i
\(124\) −3.99368 + 12.0754i −0.358643 + 1.08440i
\(125\) −0.762251 + 2.51281i −0.0681778 + 0.224752i
\(126\) 0.345562 0.446450i 0.0307851 0.0397729i
\(127\) 6.67028i 0.591892i −0.955205 0.295946i \(-0.904365\pi\)
0.955205 0.295946i \(-0.0956348\pi\)
\(128\) 0.680493 + 11.2932i 0.0601476 + 0.998189i
\(129\) 14.7730 5.21827i 1.30069 0.459443i
\(130\) 2.81447 0.667893i 0.246845 0.0585781i
\(131\) −10.8268 3.28427i −0.945939 0.286948i −0.220620 0.975360i \(-0.570808\pi\)
−0.725320 + 0.688412i \(0.758308\pi\)
\(132\) −7.41767 + 0.149457i −0.645626 + 0.0130085i
\(133\) 0.399338 + 0.0393313i 0.0346270 + 0.00341046i
\(134\) −17.6850 1.08948i −1.52775 0.0941168i
\(135\) 15.6908 0.579282i 1.35045 0.0498566i
\(136\) 0.290310 + 0.150809i 0.0248939 + 0.0129317i
\(137\) −9.56420 + 14.3138i −0.817125 + 1.22291i 0.154875 + 0.987934i \(0.450502\pi\)
−0.972000 + 0.234980i \(0.924498\pi\)
\(138\) −14.2341 + 7.30888i −1.21168 + 0.622173i
\(139\) 9.84289 + 5.26113i 0.834863 + 0.446243i 0.832680 0.553754i \(-0.186805\pi\)
0.00218248 + 0.999998i \(0.499305\pi\)
\(140\) 0.657348 + 0.463287i 0.0555560 + 0.0391549i
\(141\) 16.6914 7.81165i 1.40567 0.657859i
\(142\) −7.30820 + 7.86450i −0.613291 + 0.659974i
\(143\) −1.33936 0.554783i −0.112003 0.0463933i
\(144\) −6.25952 + 10.2381i −0.521627 + 0.853174i
\(145\) −5.83026 + 2.41497i −0.484177 + 0.200553i
\(146\) −0.289245 + 0.777747i −0.0239381 + 0.0643668i
\(147\) −11.3701 4.12046i −0.937790 0.339850i
\(148\) −1.39469 + 3.14352i −0.114643 + 0.258396i
\(149\) −12.7202 + 3.85863i −1.04208 + 0.316111i −0.764522 0.644598i \(-0.777025\pi\)
−0.277558 + 0.960709i \(0.589525\pi\)
\(150\) 0.825521 + 10.0851i 0.0674035 + 0.823448i
\(151\) −10.2534 + 2.03954i −0.834413 + 0.165975i −0.593766 0.804638i \(-0.702360\pi\)
−0.240647 + 0.970613i \(0.577360\pi\)
\(152\) −8.52857 + 0.100370i −0.691758 + 0.00814109i
\(153\) 0.161078 + 0.307335i 0.0130224 + 0.0248466i
\(154\) −0.131051 0.381146i −0.0105604 0.0307137i
\(155\) −12.1908 14.8545i −0.979185 1.19314i
\(156\) −1.92301 + 1.34172i −0.153964 + 0.107424i
\(157\) 7.29969 3.90177i 0.582579 0.311395i −0.153652 0.988125i \(-0.549104\pi\)
0.736231 + 0.676730i \(0.236604\pi\)
\(158\) 9.31859 + 1.50098i 0.741348 + 0.119412i
\(159\) −1.60278 0.766042i −0.127109 0.0607511i
\(160\) −14.9683 8.25484i −1.18335 0.652603i
\(161\) −0.614651 0.614651i −0.0484413 0.0484413i
\(162\) −11.6573 + 5.10962i −0.915881 + 0.401450i
\(163\) −5.99873 + 3.20639i −0.469857 + 0.251144i −0.689292 0.724483i \(-0.742078\pi\)
0.219436 + 0.975627i \(0.429578\pi\)
\(164\) 8.45679 + 10.8439i 0.660364 + 0.846765i
\(165\) 5.80183 9.59120i 0.451672 0.746674i
\(166\) −19.3280 9.43744i −1.50014 0.732488i
\(167\) 0.147435 0.741206i 0.0114089 0.0573562i −0.974661 0.223685i \(-0.928191\pi\)
0.986070 + 0.166329i \(0.0531913\pi\)
\(168\) −0.633566 0.153521i −0.0488807 0.0118444i
\(169\) 12.3008 2.44679i 0.946218 0.188214i
\(170\) −0.427081 + 0.248814i −0.0327556 + 0.0190832i
\(171\) −7.48084 5.08693i −0.572074 0.389007i
\(172\) −12.4703 13.1068i −0.950852 0.999382i
\(173\) −0.577788 + 0.704036i −0.0439284 + 0.0535269i −0.794511 0.607250i \(-0.792273\pi\)
0.750583 + 0.660776i \(0.229773\pi\)
\(174\) 3.67641 3.55703i 0.278708 0.269658i
\(175\) −0.507864 + 0.210364i −0.0383909 + 0.0159020i
\(176\) 3.65763 + 7.74687i 0.275704 + 0.583942i
\(177\) −3.26572 0.173734i −0.245466 0.0130587i
\(178\) −16.3049 + 0.597804i −1.22210 + 0.0448073i
\(179\) 14.5990 1.43788i 1.09118 0.107472i 0.463616 0.886036i \(-0.346552\pi\)
0.627565 + 0.778564i \(0.284052\pi\)
\(180\) −8.01441 16.2630i −0.597359 1.21217i
\(181\) −8.18124 4.37296i −0.608107 0.325040i 0.138442 0.990371i \(-0.455790\pi\)
−0.746549 + 0.665331i \(0.768290\pi\)
\(182\) −0.101363 0.0771484i −0.00751349 0.00571862i
\(183\) −24.7808 6.31436i −1.83185 0.466771i
\(184\) 14.4193 + 11.5523i 1.06300 + 0.851647i
\(185\) −2.88671 4.32027i −0.212235 0.317633i
\(186\) 13.6148 + 7.56871i 0.998285 + 0.554965i
\(187\) 0.246526 + 0.0242807i 0.0180278 + 0.00177558i
\(188\) −16.1087 13.9049i −1.17484 1.01412i
\(189\) −0.458069 0.517947i −0.0333196 0.0376751i
\(190\) 6.76198 10.9699i 0.490565 0.795838i
\(191\) 14.1534i 1.02410i 0.858955 + 0.512050i \(0.171114\pi\)
−0.858955 + 0.512050i \(0.828886\pi\)
\(192\) 13.7434 + 1.76586i 0.991846 + 0.127440i
\(193\) 16.4407i 1.18343i −0.806148 0.591713i \(-0.798452\pi\)
0.806148 0.591713i \(-0.201548\pi\)
\(194\) −21.8555 13.4720i −1.56913 0.967234i
\(195\) −0.159459 3.53914i −0.0114191 0.253443i
\(196\) 1.02262 + 13.9271i 0.0730444 + 0.994792i
\(197\) 9.21170 + 0.907274i 0.656307 + 0.0646406i 0.420688 0.907205i \(-0.361789\pi\)
0.235618 + 0.971846i \(0.424289\pi\)
\(198\) −1.51782 + 8.95894i −0.107867 + 0.636684i
\(199\) 8.96399 + 13.4156i 0.635441 + 0.951004i 0.999805 + 0.0197476i \(0.00628625\pi\)
−0.364364 + 0.931256i \(0.618714\pi\)
\(200\) 10.2391 5.62880i 0.724012 0.398017i
\(201\) −5.35828 + 21.0287i −0.377944 + 1.48325i
\(202\) 2.88028 3.78430i 0.202656 0.266262i
\(203\) 0.245086 + 0.131001i 0.0172017 + 0.00919449i
\(204\) 0.247890 0.314778i 0.0173558 0.0220389i
\(205\) −20.6770 + 2.03650i −1.44414 + 0.142236i
\(206\) −0.828193 22.5887i −0.0577030 1.57383i
\(207\) 5.53617 + 18.7987i 0.384791 + 1.30660i
\(208\) 2.32142 + 1.39352i 0.160961 + 0.0966235i
\(209\) −5.96680 + 2.47153i −0.412732 + 0.170959i
\(210\) 0.707857 0.684872i 0.0488467 0.0472607i
\(211\) −8.16768 + 9.95235i −0.562286 + 0.685148i −0.974099 0.226121i \(-0.927396\pi\)
0.411813 + 0.911268i \(0.364896\pi\)
\(212\) −0.0510289 + 2.05062i −0.00350468 + 0.140837i
\(213\) 7.78975 + 10.5929i 0.533745 + 0.725815i
\(214\) 0.482369 + 0.827969i 0.0329740 + 0.0565988i
\(215\) 26.8086 5.33256i 1.82833 0.363677i
\(216\) 10.8856 + 9.87441i 0.740671 + 0.671868i
\(217\) −0.165091 + 0.829970i −0.0112071 + 0.0563420i
\(218\) −11.0818 + 22.6956i −0.750552 + 1.53714i
\(219\) 0.869565 + 0.526010i 0.0587598 + 0.0355445i
\(220\) −12.8457 1.58875i −0.866058 0.107113i
\(221\) 0.0690465 0.0369061i 0.00464457 0.00248257i
\(222\) 3.46300 + 2.39749i 0.232421 + 0.160909i
\(223\) −3.21499 3.21499i −0.215292 0.215292i 0.591219 0.806511i \(-0.298647\pi\)
−0.806511 + 0.591219i \(0.798647\pi\)
\(224\) 0.137162 + 0.740148i 0.00916452 + 0.0494532i
\(225\) 12.3231 + 1.31488i 0.821539 + 0.0876588i
\(226\) −1.98814 + 12.3431i −0.132249 + 0.821049i
\(227\) 1.26575 0.676559i 0.0840110 0.0449048i −0.428856 0.903373i \(-0.641083\pi\)
0.512867 + 0.858468i \(0.328583\pi\)
\(228\) −1.83112 + 10.2843i −0.121269 + 0.681094i
\(229\) −12.9648 15.7976i −0.856737 1.04394i −0.998539 0.0540416i \(-0.982790\pi\)
0.141802 0.989895i \(-0.454710\pi\)
\(230\) −26.3984 + 9.07671i −1.74066 + 0.598500i
\(231\) −0.488577 + 0.0704466i −0.0321460 + 0.00463505i
\(232\) −5.48347 2.19609i −0.360007 0.144180i
\(233\) −11.6310 + 2.31355i −0.761974 + 0.151566i −0.560757 0.827981i \(-0.689490\pi\)
−0.201217 + 0.979547i \(0.564490\pi\)
\(234\) 1.17421 + 2.62078i 0.0767607 + 0.171326i
\(235\) 30.7669 9.33304i 2.00701 0.608820i
\(236\) 1.35787 + 3.52368i 0.0883900 + 0.229372i
\(237\) 3.93863 10.8683i 0.255841 0.705975i
\(238\) 0.0204011 + 0.00758720i 0.00132241 + 0.000491805i
\(239\) 16.1531 6.69082i 1.04485 0.432793i 0.206802 0.978383i \(-0.433694\pi\)
0.838052 + 0.545590i \(0.183694\pi\)
\(240\) −13.3577 + 16.1202i −0.862235 + 1.04055i
\(241\) −15.0575 6.23702i −0.969939 0.401762i −0.159249 0.987238i \(-0.550907\pi\)
−0.810689 + 0.585477i \(0.800907\pi\)
\(242\) −6.64364 6.17371i −0.427070 0.396861i
\(243\) 3.47982 + 15.1951i 0.223231 + 0.974766i
\(244\) 5.03852 + 29.0957i 0.322558 + 1.86266i
\(245\) −18.6075 9.94590i −1.18879 0.635420i
\(246\) 14.9825 7.69320i 0.955250 0.490500i
\(247\) −1.13401 + 1.69717i −0.0721556 + 0.107988i
\(248\) 1.55226 17.9198i 0.0985685 1.13791i
\(249\) −15.7783 + 21.0950i −0.999912 + 1.33684i
\(250\) 0.228340 3.70652i 0.0144415 0.234421i
\(251\) 21.5072 + 2.11827i 1.35752 + 0.133704i 0.750442 0.660937i \(-0.229841\pi\)
0.607080 + 0.794641i \(0.292341\pi\)
\(252\) −0.329713 + 0.727153i −0.0207699 + 0.0458063i
\(253\) 13.3881 + 4.06123i 0.841701 + 0.255327i
\(254\) 2.17808 + 9.17830i 0.136665 + 0.575898i
\(255\) 0.201623 + 0.570797i 0.0126261 + 0.0357447i
\(256\) −4.62398 15.3173i −0.288999 0.957329i
\(257\) 3.00288i 0.187315i 0.995604 + 0.0936573i \(0.0298558\pi\)
−0.995604 + 0.0936573i \(0.970144\pi\)
\(258\) −18.6237 + 12.0042i −1.15946 + 0.747351i
\(259\) −0.0664209 + 0.218960i −0.00412720 + 0.0136055i
\(260\) −3.65462 + 1.83804i −0.226650 + 0.113990i
\(261\) −3.43832 5.23742i −0.212827 0.324188i
\(262\) 15.9701 + 0.983834i 0.986634 + 0.0607815i
\(263\) −9.83402 14.7177i −0.606392 0.907530i 0.393539 0.919308i \(-0.371251\pi\)
−0.999931 + 0.0117784i \(0.996251\pi\)
\(264\) 10.1579 2.62778i 0.625176 0.161729i
\(265\) −2.57689 1.72182i −0.158297 0.105771i
\(266\) −0.562332 + 0.0762777i −0.0344788 + 0.00467688i
\(267\) −3.01234 + 19.7544i −0.184352 + 1.20895i
\(268\) 24.6903 4.27563i 1.50820 0.261175i
\(269\) 22.0152 2.16831i 1.34229 0.132204i 0.598773 0.800919i \(-0.295655\pi\)
0.743519 + 0.668714i \(0.233155\pi\)
\(270\) −21.4014 + 5.92068i −1.30245 + 0.360321i
\(271\) 6.45988 15.5955i 0.392410 0.947361i −0.597004 0.802238i \(-0.703642\pi\)
0.989414 0.145123i \(-0.0463577\pi\)
\(272\) −0.448710 0.112716i −0.0272071 0.00683444i
\(273\) −0.116021 + 0.104300i −0.00702191 + 0.00631253i
\(274\) 8.48638 22.8189i 0.512681 1.37854i
\(275\) 5.61281 6.83923i 0.338465 0.412421i
\(276\) 17.1994 14.7049i 1.03529 0.885133i
\(277\) 0.200753 + 0.661795i 0.0120621 + 0.0397634i 0.962765 0.270340i \(-0.0871362\pi\)
−0.950703 + 0.310104i \(0.899636\pi\)
\(278\) −15.2617 4.02527i −0.915339 0.241420i
\(279\) 12.2224 14.6487i 0.731735 0.876996i
\(280\) −1.05579 0.422836i −0.0630955 0.0252693i
\(281\) −0.471217 + 2.36897i −0.0281105 + 0.141321i −0.992292 0.123923i \(-0.960452\pi\)
0.964181 + 0.265244i \(0.0854524\pi\)
\(282\) −20.4166 + 16.1992i −1.21579 + 0.964645i
\(283\) −8.68052 + 7.12392i −0.516003 + 0.423473i −0.856017 0.516947i \(-0.827068\pi\)
0.340014 + 0.940420i \(0.389568\pi\)
\(284\) 7.48806 13.2079i 0.444334 0.783746i
\(285\) −11.6511 10.6464i −0.690149 0.630640i
\(286\) 2.02412 + 0.326033i 0.119689 + 0.0192787i
\(287\) 0.646971 + 0.646971i 0.0381895 + 0.0381895i
\(288\) 5.27001 16.1316i 0.310538 0.950561i
\(289\) 12.0114 12.0114i 0.706550 0.706550i
\(290\) 7.23387 5.22678i 0.424787 0.306927i
\(291\) −21.2111 + 23.2126i −1.24341 + 1.36075i
\(292\) 0.144040 1.16463i 0.00842932 0.0681547i
\(293\) −20.5049 24.9853i −1.19791 1.45966i −0.853699 0.520767i \(-0.825646\pi\)
−0.344212 0.938892i \(-0.611854\pi\)
\(294\) 16.9907 + 1.95702i 0.990919 + 0.114136i
\(295\) −5.59584 1.11308i −0.325802 0.0648061i
\(296\) 0.892625 4.78090i 0.0518828 0.277884i
\(297\) 10.4318 + 3.87657i 0.605312 + 0.224941i
\(298\) 16.2430 9.46306i 0.940933 0.548180i
\(299\) 4.23128 1.28354i 0.244701 0.0742292i
\(300\) −4.42906 13.6076i −0.255712 0.785634i
\(301\) −0.930468 0.763615i −0.0536313 0.0440141i
\(302\) 13.4427 6.15450i 0.773543 0.354152i
\(303\) −3.89397 4.33156i −0.223703 0.248842i
\(304\) 11.7025 2.92298i 0.671186 0.167644i
\(305\) −41.2183 17.0732i −2.36015 0.977607i
\(306\) −0.321998 0.370295i −0.0184074 0.0211684i
\(307\) −2.87755 29.2162i −0.164230 1.66746i −0.625519 0.780209i \(-0.715113\pi\)
0.461289 0.887250i \(-0.347387\pi\)
\(308\) 0.304784 + 0.481665i 0.0173667 + 0.0274454i
\(309\) −27.3676 4.17328i −1.55689 0.237410i
\(310\) 21.6250 + 16.4591i 1.22822 + 0.934811i
\(311\) 16.4454 24.6122i 0.932531 1.39563i 0.0141645 0.999900i \(-0.495491\pi\)
0.918366 0.395731i \(-0.129509\pi\)
\(312\) 2.20794 2.47414i 0.125000 0.140070i
\(313\) −2.67059 + 1.78443i −0.150951 + 0.100862i −0.628752 0.777606i \(-0.716434\pi\)
0.477801 + 0.878468i \(0.341434\pi\)
\(314\) −8.77031 + 7.75243i −0.494937 + 0.437495i
\(315\) −0.662016 1.00842i −0.0373004 0.0568178i
\(316\) −13.3125 + 0.977495i −0.748887 + 0.0549884i
\(317\) 30.0668 + 9.12067i 1.68872 + 0.512268i 0.980964 0.194189i \(-0.0622075\pi\)
0.707756 + 0.706457i \(0.249708\pi\)
\(318\) 2.45557 + 0.530710i 0.137702 + 0.0297607i
\(319\) −4.47279 −0.250428
\(320\) 23.2919 + 6.47099i 1.30205 + 0.361740i
\(321\) 1.10659 0.390880i 0.0617636 0.0218168i
\(322\) 1.04646 + 0.645055i 0.0583172 + 0.0359475i
\(323\) 0.101246 0.333764i 0.00563349 0.0185711i
\(324\) 14.3719 10.8373i 0.798440 0.602074i
\(325\) 0.274080 2.78278i 0.0152032 0.154361i
\(326\) 7.20725 6.37078i 0.399173 0.352845i
\(327\) 24.7705 + 18.5275i 1.36981 + 1.02457i
\(328\) −15.1774 12.1597i −0.838034 0.671410i
\(329\) −1.17723 0.786600i −0.0649028 0.0433667i
\(330\) −4.85146 + 15.0920i −0.267064 + 0.830787i
\(331\) −3.64364 + 6.81677i −0.200272 + 0.374683i −0.961930 0.273297i \(-0.911886\pi\)
0.761657 + 0.647980i \(0.224386\pi\)
\(332\) 29.6770 + 6.67466i 1.62874 + 0.366319i
\(333\) 3.67715 3.61788i 0.201506 0.198259i
\(334\) 0.0391587 + 1.06804i 0.00214267 + 0.0584406i
\(335\) −14.4881 + 34.9773i −0.791568 + 1.91102i
\(336\) 0.921916 + 0.00436389i 0.0502946 + 0.000238070i
\(337\) 5.55560 + 13.4124i 0.302633 + 0.730620i 0.999905 + 0.0138132i \(0.00439700\pi\)
−0.697272 + 0.716807i \(0.745603\pi\)
\(338\) −16.1270 + 7.38342i −0.877192 + 0.401605i
\(339\) 14.3958 + 5.21696i 0.781874 + 0.283347i
\(340\) 0.506417 0.481825i 0.0274643 0.0261306i
\(341\) −3.95368 13.0335i −0.214104 0.705806i
\(342\) 11.9547 + 4.55686i 0.646436 + 0.246407i
\(343\) 0.362986 + 1.82485i 0.0195994 + 0.0985328i
\(344\) 21.4389 + 13.9629i 1.15591 + 0.752831i
\(345\) 4.87918 + 33.8392i 0.262686 + 1.82184i
\(346\) 0.565143 1.15742i 0.0303823 0.0622234i
\(347\) −1.29367 + 1.06169i −0.0694481 + 0.0569946i −0.668477 0.743733i \(-0.733053\pi\)
0.599029 + 0.800727i \(0.295553\pi\)
\(348\) −3.89724 + 6.09495i −0.208914 + 0.326723i
\(349\) 13.2367 + 24.7641i 0.708543 + 1.32559i 0.936068 + 0.351818i \(0.114436\pi\)
−0.227526 + 0.973772i \(0.573064\pi\)
\(350\) 0.630129 0.455296i 0.0336818 0.0243366i
\(351\) 3.42198 0.812979i 0.182652 0.0433936i
\(352\) −7.56252 9.46535i −0.403084 0.504505i
\(353\) −4.67803 + 4.67803i −0.248987 + 0.248987i −0.820555 0.571568i \(-0.806335\pi\)
0.571568 + 0.820555i \(0.306335\pi\)
\(354\) 4.55036 0.827311i 0.241849 0.0439711i
\(355\) 10.8136 + 20.2308i 0.573927 + 1.07374i
\(356\) 22.2403 6.14669i 1.17873 0.325774i
\(357\) 0.0137978 0.0228096i 0.000730256 0.00120721i
\(358\) −19.6187 + 6.74560i −1.03688 + 0.356516i
\(359\) −9.53391 1.89641i −0.503181 0.100089i −0.0630279 0.998012i \(-0.520076\pi\)
−0.440153 + 0.897923i \(0.645076\pi\)
\(360\) 16.3383 + 19.7609i 0.861102 + 1.04149i
\(361\) −1.93270 9.71633i −0.101721 0.511386i
\(362\) 12.6853 + 3.34574i 0.666725 + 0.175848i
\(363\) −8.94852 + 6.58050i −0.469675 + 0.345387i
\(364\) 0.164666 + 0.0730578i 0.00863087 + 0.00382927i
\(365\) 1.37056 + 1.12479i 0.0717385 + 0.0588743i
\(366\) 36.1603 + 0.596757i 1.89013 + 0.0311930i
\(367\) −5.18029 12.5063i −0.270409 0.652825i 0.729092 0.684416i \(-0.239943\pi\)
−0.999501 + 0.0315909i \(0.989943\pi\)
\(368\) −23.6131 11.1876i −1.23092 0.583193i
\(369\) −5.82728 19.7872i −0.303356 1.03008i
\(370\) 5.38283 + 5.00208i 0.279840 + 0.260046i
\(371\) 0.0133773 + 0.135822i 0.000694513 + 0.00705151i
\(372\) −21.2054 5.96884i −1.09945 0.309470i
\(373\) −6.61328 + 12.3726i −0.342423 + 0.640628i −0.992907 0.118892i \(-0.962066\pi\)
0.650485 + 0.759520i \(0.274566\pi\)
\(374\) −0.347148 + 0.0470890i −0.0179506 + 0.00243491i
\(375\) −4.40732 1.12302i −0.227593 0.0579926i
\(376\) 26.7059 + 13.8730i 1.37725 + 0.715448i
\(377\) −1.17538 + 0.785363i −0.0605351 + 0.0404483i
\(378\) 0.799430 + 0.563120i 0.0411182 + 0.0289638i
\(379\) −0.185150 + 1.87985i −0.00951049 + 0.0965616i −0.998768 0.0496209i \(-0.984199\pi\)
0.989258 + 0.146183i \(0.0466987\pi\)
\(380\) −5.72244 + 17.3026i −0.293555 + 0.887602i
\(381\) 11.5416 0.520016i 0.591292 0.0266412i
\(382\) −4.62156 19.4750i −0.236459 0.996428i
\(383\) 2.12230 0.108445 0.0542223 0.998529i \(-0.482732\pi\)
0.0542223 + 0.998529i \(0.482732\pi\)
\(384\) −19.4876 + 2.05787i −0.994471 + 0.105015i
\(385\) −0.861193 −0.0438904
\(386\) 5.36845 + 22.6224i 0.273247 + 1.15145i
\(387\) 10.1809 + 25.1548i 0.517522 + 1.27869i
\(388\) 34.4722 + 11.4009i 1.75006 + 0.578794i
\(389\) −0.808009 + 8.20385i −0.0409677 + 0.415952i 0.952727 + 0.303829i \(0.0982651\pi\)
−0.993694 + 0.112123i \(0.964235\pi\)
\(390\) 1.37507 + 4.81779i 0.0696293 + 0.243958i
\(391\) −0.628215 + 0.419760i −0.0317702 + 0.0212282i
\(392\) −5.95480 18.8298i −0.300763 0.951046i
\(393\) 4.83869 18.9896i 0.244080 0.957896i
\(394\) −12.9716 + 1.75953i −0.653498 + 0.0886439i
\(395\) 9.50700 17.7863i 0.478349 0.894928i
\(396\) −0.836887 12.8231i −0.0420552 0.644386i
\(397\) 0.528063 + 5.36151i 0.0265027 + 0.269087i 0.999299 + 0.0374260i \(0.0119159\pi\)
−0.972797 + 0.231661i \(0.925584\pi\)
\(398\) −16.7151 15.5328i −0.837852 0.778587i
\(399\) −0.0369224 + 0.694039i −0.00184843 + 0.0347454i
\(400\) −12.2510 + 11.0886i −0.612548 + 0.554432i
\(401\) −2.58088 6.23078i −0.128883 0.311151i 0.846245 0.532794i \(-0.178858\pi\)
−0.975128 + 0.221643i \(0.928858\pi\)
\(402\) 0.506401 30.6852i 0.0252570 1.53044i
\(403\) −3.32749 2.73080i −0.165754 0.136031i
\(404\) −2.72756 + 6.14771i −0.135701 + 0.305860i
\(405\) 2.22559 + 27.1046i 0.110590 + 1.34684i
\(406\) −0.380015 0.100229i −0.0188598 0.00497426i
\(407\) −0.718466 3.61197i −0.0356130 0.179039i
\(408\) −0.238311 + 0.514079i −0.0117981 + 0.0254507i
\(409\) −23.6353 4.70136i −1.16869 0.232467i −0.427662 0.903939i \(-0.640663\pi\)
−0.741030 + 0.671471i \(0.765663\pi\)
\(410\) 27.7865 9.55398i 1.37228 0.471837i
\(411\) −25.5128 15.4330i −1.25845 0.761253i
\(412\) 8.51558 + 30.8116i 0.419533 + 1.51798i
\(413\) 0.118439 + 0.221583i 0.00582799 + 0.0109034i
\(414\) −13.7562 24.0593i −0.676081 1.18245i
\(415\) −32.4975 + 32.4975i −1.59524 + 1.59524i
\(416\) −3.64930 1.15947i −0.178922 0.0568475i
\(417\) −8.33596 + 17.4413i −0.408214 + 0.854102i
\(418\) 7.40328 5.34919i 0.362106 0.261638i
\(419\) 18.4923 + 34.5966i 0.903406 + 1.69015i 0.703954 + 0.710245i \(0.251416\pi\)
0.199451 + 0.979908i \(0.436084\pi\)
\(420\) −0.750376 + 1.17352i −0.0366146 + 0.0572621i
\(421\) 4.84347 3.97493i 0.236056 0.193726i −0.508927 0.860810i \(-0.669958\pi\)
0.744983 + 0.667084i \(0.232458\pi\)
\(422\) 7.98894 16.3615i 0.388895 0.796463i
\(423\) 14.8177 + 28.2721i 0.720462 + 1.37464i
\(424\) −0.599383 2.83832i −0.0291086 0.137841i
\(425\) 0.0932150 + 0.468623i 0.00452159 + 0.0227316i
\(426\) −14.1777 12.0322i −0.686909 0.582964i
\(427\) 0.570315 + 1.88008i 0.0275995 + 0.0909833i
\(428\) −0.934099 0.981775i −0.0451514 0.0474559i
\(429\) 0.855522 2.36075i 0.0413050 0.113978i
\(430\) −35.1473 + 16.0915i −1.69495 + 0.776002i
\(431\) 12.6111 + 30.4460i 0.607457 + 1.46653i 0.865757 + 0.500465i \(0.166838\pi\)
−0.258300 + 0.966065i \(0.583162\pi\)
\(432\) −18.2029 10.0327i −0.875788 0.482697i
\(433\) 11.9701 28.8984i 0.575246 1.38877i −0.321791 0.946811i \(-0.604285\pi\)
0.897037 0.441956i \(-0.145715\pi\)
\(434\) −0.0438482 1.19595i −0.00210478 0.0574072i
\(435\) −4.63314 9.89980i −0.222142 0.474659i
\(436\) 7.83761 34.8477i 0.375354 1.66890i
\(437\) 9.28572 17.3724i 0.444196 0.831033i
\(438\) −1.36828 0.439847i −0.0653790 0.0210167i
\(439\) −15.4650 10.3334i −0.738103 0.493185i 0.128794 0.991671i \(-0.458889\pi\)
−0.866897 + 0.498487i \(0.833889\pi\)
\(440\) 18.1945 2.00845i 0.867388 0.0957492i
\(441\) 6.24320 19.9949i 0.297295 0.952136i
\(442\) −0.0829569 + 0.0733289i −0.00394586 + 0.00348790i
\(443\) −1.81030 + 18.3803i −0.0860100 + 0.873274i 0.851277 + 0.524716i \(0.175829\pi\)
−0.937287 + 0.348558i \(0.886671\pi\)
\(444\) −5.54795 2.16816i −0.263294 0.102896i
\(445\) −10.1199 + 33.3610i −0.479732 + 1.58146i
\(446\) 5.47363 + 3.37402i 0.259184 + 0.159765i
\(447\) −7.66824 21.7089i −0.362695 1.02680i
\(448\) −0.430419 0.973655i −0.0203354 0.0460009i
\(449\) −27.5089 −1.29823 −0.649114 0.760691i \(-0.724860\pi\)
−0.649114 + 0.760691i \(0.724860\pi\)
\(450\) −17.3859 + 2.21463i −0.819580 + 0.104399i
\(451\) −14.0920 4.27478i −0.663569 0.201291i
\(452\) −1.29475 17.6333i −0.0609001 0.829399i
\(453\) −4.32836 17.5825i −0.203364 0.826096i
\(454\) −1.52076 + 1.34426i −0.0713726 + 0.0630891i
\(455\) −0.226308 + 0.151214i −0.0106095 + 0.00708903i
\(456\) −0.838558 14.7491i −0.0392691 0.690691i
\(457\) 17.5854 26.3184i 0.822608 1.23112i −0.147648 0.989040i \(-0.547170\pi\)
0.970256 0.242081i \(-0.0778298\pi\)
\(458\) 22.9980 + 17.5041i 1.07463 + 0.817912i
\(459\) −0.519223 + 0.302672i −0.0242352 + 0.0141275i
\(460\) 33.3604 21.1095i 1.55544 0.984238i
\(461\) 0.711777 + 7.22679i 0.0331507 + 0.336585i 0.997427 + 0.0716871i \(0.0228383\pi\)
−0.964276 + 0.264898i \(0.914662\pi\)
\(462\) 0.649279 0.256472i 0.0302072 0.0119322i
\(463\) −26.1364 10.8260i −1.21466 0.503129i −0.318952 0.947771i \(-0.603331\pi\)
−0.895708 + 0.444642i \(0.853331\pi\)
\(464\) 8.26235 + 1.23128i 0.383570 + 0.0571605i
\(465\) 24.7522 22.2517i 1.14786 1.03190i
\(466\) 15.2488 6.98138i 0.706389 0.323406i
\(467\) −5.51221 4.52375i −0.255074 0.209334i 0.498162 0.867084i \(-0.334008\pi\)
−0.753237 + 0.657750i \(0.771508\pi\)
\(468\) −2.47149 3.22277i −0.114245 0.148972i
\(469\) 1.59541 0.483962i 0.0736692 0.0223473i
\(470\) −39.2877 + 22.8887i −1.81221 + 1.05578i
\(471\) 7.32030 + 12.3264i 0.337301 + 0.567973i
\(472\) −3.01904 4.40519i −0.138962 0.202765i
\(473\) 19.0011 + 3.77956i 0.873673 + 0.173784i
\(474\) −1.87066 + 16.2409i −0.0859222 + 0.745971i
\(475\) −7.90271 9.62948i −0.362601 0.441831i
\(476\) −0.0305494 0.00377832i −0.00140023 0.000173179i
\(477\) 1.20053 2.83301i 0.0549683 0.129715i
\(478\) −20.0418 + 14.4811i −0.916692 + 0.662350i
\(479\) −10.8862 + 10.8862i −0.497404 + 0.497404i −0.910629 0.413225i \(-0.864402\pi\)
0.413225 + 0.910629i \(0.364402\pi\)
\(480\) 13.1164 26.5431i 0.598678 1.21152i
\(481\) −0.823016 0.823016i −0.0375263 0.0375263i
\(482\) 22.7557 + 3.66535i 1.03649 + 0.166952i
\(483\) 1.01561 1.11145i 0.0462118 0.0505726i
\(484\) 11.1576 + 6.32564i 0.507163 + 0.287529i
\(485\) −42.4057 + 34.8014i −1.92554 + 1.58025i
\(486\) −9.74996 19.7722i −0.442267 0.896883i
\(487\) 2.17697 10.9444i 0.0986479 0.495937i −0.899597 0.436721i \(-0.856140\pi\)
0.998245 0.0592162i \(-0.0188601\pi\)
\(488\) −16.4338 38.3905i −0.743921 1.73785i
\(489\) −6.01566 10.1296i −0.272038 0.458077i
\(490\) 28.8516 + 7.60957i 1.30338 + 0.343766i
\(491\) −6.86930 22.6451i −0.310007 1.02196i −0.964099 0.265542i \(-0.914449\pi\)
0.654092 0.756415i \(-0.273051\pi\)
\(492\) −18.1038 + 15.4781i −0.816184 + 0.697808i
\(493\) 0.153238 0.186721i 0.00690147 0.00840947i
\(494\) 1.00622 2.70560i 0.0452719 0.121731i
\(495\) 17.0479 + 9.29115i 0.766247 + 0.417606i
\(496\) 3.71554 + 25.1646i 0.166833 + 1.12992i
\(497\) 0.386580 0.933288i 0.0173405 0.0418637i
\(498\) 14.8228 34.1789i 0.664223 1.53159i
\(499\) −21.7110 + 2.13834i −0.971916 + 0.0957254i −0.571495 0.820606i \(-0.693636\pi\)
−0.400421 + 0.916331i \(0.631136\pi\)
\(500\) 0.896111 + 5.17473i 0.0400753 + 0.231421i
\(501\) 1.29400 + 0.197322i 0.0578116 + 0.00881568i
\(502\) −30.2856 + 4.10809i −1.35171 + 0.183353i
\(503\) −0.795861 0.531777i −0.0354857 0.0237108i 0.537701 0.843136i \(-0.319293\pi\)
−0.573187 + 0.819425i \(0.694293\pi\)
\(504\) 0.216244 1.10822i 0.00963227 0.0493642i
\(505\) −5.64548 8.44905i −0.251220 0.375978i
\(506\) −19.7481 1.21658i −0.877911 0.0540836i
\(507\) 5.19264 + 21.0933i 0.230613 + 0.936787i
\(508\) −5.99406 11.9181i −0.265944 0.528781i
\(509\) 1.73639 5.72411i 0.0769641 0.253717i −0.910012 0.414581i \(-0.863928\pi\)
0.986977 + 0.160864i \(0.0514281\pi\)
\(510\) −0.463818 0.719579i −0.0205382 0.0318635i
\(511\) 0.0780782i 0.00345397i
\(512\) 11.3642 + 19.5667i 0.502232 + 0.864733i
\(513\) 8.21868 13.3406i 0.362863 0.589004i
\(514\) −0.980544 4.13196i −0.0432499 0.182253i
\(515\) −46.2181 14.0201i −2.03661 0.617800i
\(516\) 21.7064 22.5991i 0.955571 0.994870i
\(517\) 22.6782 + 2.23361i 0.997386 + 0.0982339i
\(518\) 0.0198970 0.322978i 0.000874226 0.0141909i
\(519\) −1.26324 0.944857i −0.0554499 0.0414746i
\(520\) 4.42857 3.72250i 0.194205 0.163242i
\(521\) 21.5379 32.2338i 0.943593 1.41219i 0.0327364 0.999464i \(-0.489578\pi\)
0.910857 0.412723i \(-0.135422\pi\)
\(522\) 6.44133 + 6.08396i 0.281929 + 0.266288i
\(523\) 7.70442 + 4.11810i 0.336891 + 0.180072i 0.631164 0.775649i \(-0.282578\pi\)
−0.294273 + 0.955721i \(0.595078\pi\)
\(524\) −22.2961 + 3.86102i −0.974008 + 0.168669i
\(525\) −0.403585 0.862354i −0.0176139 0.0376362i
\(526\) 18.3374 + 17.0403i 0.799550 + 0.742994i
\(527\) 0.679550 + 0.281479i 0.0296017 + 0.0122614i
\(528\) −13.1192 + 6.93273i −0.570941 + 0.301708i
\(529\) −18.1739 + 7.52789i −0.790171 + 0.327300i
\(530\) 4.10803 + 1.52778i 0.178442 + 0.0663627i
\(531\) 0.0460155 5.66420i 0.00199690 0.245805i
\(532\) 0.748861 0.288579i 0.0324672 0.0125115i
\(533\) −4.45376 + 1.35103i −0.192914 + 0.0585198i
\(534\) −2.30551 28.1657i −0.0997691 1.21885i
\(535\) 2.00812 0.399440i 0.0868186 0.0172693i
\(536\) −32.5777 + 13.9455i −1.40714 + 0.602353i
\(537\) 3.62609 + 25.1485i 0.156477 + 1.08524i
\(538\) −29.5849 + 10.1723i −1.27550 + 0.438560i
\(539\) −9.48685 11.5598i −0.408627 0.497914i
\(540\) 27.5150 15.1352i 1.18406 0.651313i
\(541\) 1.29781 0.693694i 0.0557972 0.0298242i −0.443262 0.896392i \(-0.646179\pi\)
0.499059 + 0.866568i \(0.333679\pi\)
\(542\) −3.79631 + 23.5688i −0.163066 + 1.01237i
\(543\) 6.92871 14.4969i 0.297339 0.622120i
\(544\) 0.654231 + 0.00857834i 0.0280499 + 0.000367793i
\(545\) 38.1597 + 38.1597i 1.63458 + 1.63458i
\(546\) 0.125587 0.181402i 0.00537464 0.00776328i
\(547\) 15.3778 8.21961i 0.657508 0.351445i −0.108666 0.994078i \(-0.534658\pi\)
0.766174 + 0.642633i \(0.222158\pi\)
\(548\) −4.22610 + 34.1699i −0.180530 + 1.45966i
\(549\) 8.99379 43.3704i 0.383845 1.85100i
\(550\) −5.48998 + 11.2435i −0.234093 + 0.479426i
\(551\) −1.22860 + 6.17658i −0.0523401 + 0.263131i
\(552\) −18.8648 + 25.8502i −0.802938 + 1.10026i
\(553\) −0.871058 + 0.173264i −0.0370411 + 0.00736794i
\(554\) −0.492335 0.845077i −0.0209173 0.0359039i
\(555\) 7.25030 5.33167i 0.307758 0.226317i
\(556\) 22.3146 + 0.555289i 0.946348 + 0.0235495i
\(557\) −9.80533 + 11.9478i −0.415465 + 0.506246i −0.938126 0.346295i \(-0.887440\pi\)
0.522660 + 0.852541i \(0.324940\pi\)
\(558\) −12.0347 + 24.1477i −0.509469 + 1.02225i
\(559\) 5.65684 2.34314i 0.239259 0.0991043i
\(560\) 1.59084 + 0.237070i 0.0672251 + 0.0100180i
\(561\) −0.0227936 + 0.428456i −0.000962345 + 0.0180894i
\(562\) −0.125155 3.41357i −0.00527936 0.143993i
\(563\) −32.5016 + 3.20113i −1.36978 + 0.134912i −0.756003 0.654568i \(-0.772851\pi\)
−0.613777 + 0.789479i \(0.710351\pi\)
\(564\) 22.8037 28.9568i 0.960208 1.21930i
\(565\) 23.5592 + 12.5926i 0.991141 + 0.529776i
\(566\) 9.61819 12.6370i 0.404283 0.531173i
\(567\) 0.860490 0.832973i 0.0361372 0.0349816i
\(568\) −5.99072 + 20.6192i −0.251365 + 0.865163i
\(569\) −16.9580 25.3795i −0.710917 1.06396i −0.994472 0.105006i \(-0.966514\pi\)
0.283555 0.958956i \(-0.408486\pi\)
\(570\) 19.5083 + 10.8450i 0.817112 + 0.454247i
\(571\) −37.3656 3.68019i −1.56370 0.154011i −0.721208 0.692719i \(-0.756413\pi\)
−0.842493 + 0.538708i \(0.818913\pi\)
\(572\) −2.89165 + 0.212325i −0.120906 + 0.00887774i
\(573\) −24.4895 + 1.10340i −1.02306 + 0.0460951i
\(574\) −1.10149 0.678973i −0.0459753 0.0283398i
\(575\) 26.9851i 1.12536i
\(576\) −1.98403 + 23.9179i −0.0826678 + 0.996577i
\(577\) 22.3729i 0.931394i −0.884944 0.465697i \(-0.845804\pi\)
0.884944 0.465697i \(-0.154196\pi\)
\(578\) −12.6055 + 20.4497i −0.524320 + 0.850597i
\(579\) 28.4473 1.28172i 1.18223 0.0532664i
\(580\) −8.24707 + 9.55416i −0.342441 + 0.396715i
\(581\) 2.01412 + 0.198373i 0.0835596 + 0.00822991i
\(582\) 21.6067 38.8667i 0.895626 1.61108i
\(583\) −1.22038 1.82642i −0.0505429 0.0756427i
\(584\) 0.182092 + 1.64956i 0.00753502 + 0.0682594i
\(585\) 6.11133 0.551824i 0.252672 0.0228151i
\(586\) 36.3734 + 27.6842i 1.50257 + 1.14363i
\(587\) 19.1653 + 10.2440i 0.791035 + 0.422817i 0.816850 0.576850i \(-0.195718\pi\)
−0.0258154 + 0.999667i \(0.508218\pi\)
\(588\) −24.0183 + 2.85520i −0.990496 + 0.117746i
\(589\) −19.0844 + 1.87964i −0.786357 + 0.0774494i
\(590\) 8.06333 0.295634i 0.331962 0.0121711i
\(591\) −0.851706 + 16.0097i −0.0350345 + 0.658551i
\(592\) 0.332876 + 6.86999i 0.0136811 + 0.282355i
\(593\) 14.8927 6.16874i 0.611568 0.253320i −0.0553307 0.998468i \(-0.517621\pi\)
0.666899 + 0.745148i \(0.267621\pi\)
\(594\) −15.6199 1.92783i −0.640894 0.0790999i
\(595\) 0.0295044 0.0359513i 0.00120956 0.00147386i
\(596\) −19.2604 + 18.3251i −0.788936 + 0.750624i
\(597\) −22.5141 + 16.5562i −0.921439 + 0.677602i
\(598\) −5.40311 + 3.14781i −0.220950 + 0.128724i
\(599\) 26.1112 5.19384i 1.06687 0.212214i 0.369725 0.929141i \(-0.379452\pi\)
0.697149 + 0.716927i \(0.254452\pi\)
\(600\) 10.5377 + 17.2778i 0.430201 + 0.705363i
\(601\) −1.78948 + 8.99631i −0.0729943 + 0.366967i −0.999967 0.00816249i \(-0.997402\pi\)
0.926972 + 0.375130i \(0.122402\pi\)
\(602\) 1.52967 + 0.746905i 0.0623447 + 0.0304416i
\(603\) −36.8036 7.63201i −1.49876 0.310800i
\(604\) −16.4876 + 12.8581i −0.670869 + 0.523189i
\(605\) −17.0903 + 9.13495i −0.694819 + 0.371388i
\(606\) 6.77251 + 4.68871i 0.275114 + 0.190466i
\(607\) 26.4905 + 26.4905i 1.07522 + 1.07522i 0.996931 + 0.0782847i \(0.0249443\pi\)
0.0782847 + 0.996931i \(0.475056\pi\)
\(608\) −15.1482 + 7.84330i −0.614342 + 0.318088i
\(609\) −0.207564 + 0.434284i −0.00841091 + 0.0175981i
\(610\) 62.2913 + 10.0335i 2.52210 + 0.406244i
\(611\) 6.35167 3.39504i 0.256961 0.137348i
\(612\) 0.563984 + 0.404383i 0.0227977 + 0.0163462i
\(613\) 26.0222 + 31.7081i 1.05103 + 1.28068i 0.958538 + 0.284964i \(0.0919817\pi\)
0.0924871 + 0.995714i \(0.470518\pi\)
\(614\) 13.4996 + 39.2619i 0.544800 + 1.58448i
\(615\) −5.13573 35.6185i −0.207093 1.43628i
\(616\) −0.576663 0.563248i −0.0232344 0.0226939i
\(617\) 39.8083 7.91837i 1.60262 0.318782i 0.688818 0.724934i \(-0.258130\pi\)
0.913805 + 0.406153i \(0.133130\pi\)
\(618\) 39.0206 3.19404i 1.56964 0.128483i
\(619\) 37.0041 11.2251i 1.48732 0.451173i 0.560969 0.827837i \(-0.310429\pi\)
0.926350 + 0.376663i \(0.122929\pi\)
\(620\) −35.1304 15.5864i −1.41087 0.625963i
\(621\) −32.0958 + 11.0448i −1.28796 + 0.443211i
\(622\) −14.5921 + 39.2364i −0.585089 + 1.57324i
\(623\) 1.41836 0.587503i 0.0568253 0.0235378i
\(624\) −2.23023 + 4.12538i −0.0892807 + 0.165147i
\(625\) −26.4135 10.9408i −1.05654 0.437634i
\(626\) 3.09206 3.32742i 0.123583 0.132990i
\(627\) −4.74165 10.1317i −0.189363 0.404619i
\(628\) 9.53651 13.5312i 0.380548 0.539952i
\(629\) 0.175400 + 0.0937530i 0.00699364 + 0.00373818i
\(630\) 1.24022 + 1.17141i 0.0494114 + 0.0466700i
\(631\) 22.9819 34.3949i 0.914897 1.36924i −0.0143959 0.999896i \(-0.504583\pi\)
0.929293 0.369344i \(-0.120417\pi\)
\(632\) 17.9988 5.69202i 0.715954 0.226417i
\(633\) −17.8573 13.3566i −0.709762 0.530878i
\(634\) −44.3501 2.73219i −1.76137 0.108509i
\(635\) 20.0589 + 1.97563i 0.796013 + 0.0784005i
\(636\) −3.55216 + 0.0715715i −0.140852 + 0.00283800i
\(637\) −4.52274 1.37196i −0.179197 0.0543589i
\(638\) 6.15456 1.46052i 0.243661 0.0578225i
\(639\) −17.7216 + 14.3044i −0.701055 + 0.565873i
\(640\) −34.1626 1.29849i −1.35040 0.0513273i
\(641\) 12.4249i 0.490754i −0.969428 0.245377i \(-0.921088\pi\)
0.969428 0.245377i \(-0.0789117\pi\)
\(642\) −1.39503 + 0.899189i −0.0550573 + 0.0354881i
\(643\) 6.20232 20.4463i 0.244596 0.806324i −0.745570 0.666427i \(-0.767823\pi\)
0.990166 0.139897i \(-0.0446772\pi\)
\(644\) −1.65057 0.545889i −0.0650415 0.0215110i
\(645\) 11.3169 + 45.9710i 0.445602 + 1.81011i
\(646\) −0.0303293 + 0.492320i −0.00119329 + 0.0193701i
\(647\) −6.46535 9.67607i −0.254179 0.380406i 0.682333 0.731042i \(-0.260965\pi\)
−0.936512 + 0.350636i \(0.885965\pi\)
\(648\) −16.2370 + 19.6051i −0.637849 + 0.770161i
\(649\) −3.36235 2.24665i −0.131984 0.0881888i
\(650\) 0.531539 + 3.91860i 0.0208487 + 0.153700i
\(651\) −1.44896 0.220952i −0.0567893 0.00865979i
\(652\) −7.83690 + 11.1196i −0.306917 + 0.435478i
\(653\) 4.48711 0.441942i 0.175594 0.0172945i −0.00983783 0.999952i \(-0.503132\pi\)
0.185432 + 0.982657i \(0.440632\pi\)
\(654\) −40.1341 17.4054i −1.56937 0.680604i
\(655\) 13.0832 31.5856i 0.511202 1.23415i
\(656\) 24.8547 + 11.7758i 0.970414 + 0.459770i
\(657\) −0.842361 + 1.54561i −0.0328636 + 0.0603001i
\(658\) 1.87672 + 0.697955i 0.0731622 + 0.0272091i
\(659\) −0.961667 + 1.17179i −0.0374612 + 0.0456466i −0.791404 0.611293i \(-0.790650\pi\)
0.753943 + 0.656940i \(0.228150\pi\)
\(660\) 1.74755 22.3507i 0.0680232 0.870001i
\(661\) −1.48693 4.90174i −0.0578348 0.190656i 0.923263 0.384169i \(-0.125512\pi\)
−0.981098 + 0.193513i \(0.938012\pi\)
\(662\) 2.78774 10.5696i 0.108348 0.410801i
\(663\) 0.0692414 + 0.116594i 0.00268911 + 0.00452812i
\(664\) −43.0150 + 0.506231i −1.66931 + 0.0196456i
\(665\) −0.236555 + 1.18924i −0.00917320 + 0.0461168i
\(666\) −3.87839 + 6.17892i −0.150285 + 0.239428i
\(667\) 10.5455 8.65446i 0.408323 0.335102i
\(668\) −0.402635 1.45684i −0.0155784 0.0563668i
\(669\) 5.31224 5.81353i 0.205383 0.224764i
\(670\) 8.51429 52.8596i 0.328936 2.04215i
\(671\) −22.3597 22.3597i −0.863186 0.863186i
\(672\) −1.26998 + 0.295033i −0.0489906 + 0.0113811i
\(673\) 9.97080 9.97080i 0.384346 0.384346i −0.488319 0.872665i \(-0.662390\pi\)
0.872665 + 0.488319i \(0.162390\pi\)
\(674\) −12.0241 16.6414i −0.463151 0.641001i
\(675\) −1.31442 + 21.4251i −0.0505922 + 0.824652i
\(676\) 19.7798 15.4256i 0.760761 0.593293i
\(677\) 21.2029 + 25.8358i 0.814892 + 0.992949i 0.999948 + 0.0102206i \(0.00325337\pi\)
−0.185056 + 0.982728i \(0.559247\pi\)
\(678\) −21.5122 2.47781i −0.826170 0.0951597i
\(679\) 2.36935 + 0.471293i 0.0909272 + 0.0180865i
\(680\) −0.539498 + 0.828354i −0.0206888 + 0.0317659i
\(681\) 1.26933 + 2.13738i 0.0486407 + 0.0819047i
\(682\) 9.69617 + 16.6431i 0.371286 + 0.637299i
\(683\) 8.28576 2.51346i 0.317046 0.0961748i −0.127751 0.991806i \(-0.540776\pi\)
0.444797 + 0.895631i \(0.353276\pi\)
\(684\) −17.9376 2.36661i −0.685862 0.0904897i
\(685\) −40.2119 33.0011i −1.53642 1.26091i
\(686\) −1.09535 2.39247i −0.0418205 0.0913449i
\(687\) 26.3238 23.6645i 1.00432 0.902856i
\(688\) −34.0594 12.2124i −1.29850 0.465595i
\(689\) −0.641392 0.265673i −0.0244351 0.0101213i
\(690\) −17.7634 44.9695i −0.676241 1.71196i
\(691\) −0.250585 2.54424i −0.00953271 0.0967873i 0.989241 0.146295i \(-0.0467348\pi\)
−0.998774 + 0.0495076i \(0.984235\pi\)
\(692\) −0.399699 + 1.77715i −0.0151943 + 0.0675571i
\(693\) −0.159983 0.839891i −0.00607725 0.0319048i
\(694\) 1.43342 1.88332i 0.0544118 0.0714897i
\(695\) −18.7366 + 28.0413i −0.710720 + 1.06367i
\(696\) 3.37239 9.65923i 0.127830 0.366132i
\(697\) 0.661247 0.441831i 0.0250465 0.0167356i
\(698\) −26.3000 29.7531i −0.995469 1.12617i
\(699\) −4.90989 19.9447i −0.185709 0.754380i
\(700\) −0.718388 + 0.832246i −0.0271525 + 0.0314559i
\(701\) 25.2620 + 7.66314i 0.954132 + 0.289433i 0.728705 0.684827i \(-0.240122\pi\)
0.225427 + 0.974260i \(0.427622\pi\)
\(702\) −4.44318 + 2.23605i −0.167697 + 0.0843944i
\(703\) −5.18521 −0.195564
\(704\) 13.4968 + 10.5549i 0.508679 + 0.397803i
\(705\) 18.5475 + 52.5082i 0.698539 + 1.97757i
\(706\) 4.90943 7.96451i 0.184769 0.299748i
\(707\) −0.129898 + 0.428216i −0.00488531 + 0.0161047i
\(708\) −5.99114 + 2.62423i −0.225161 + 0.0986245i
\(709\) −1.23371 + 12.5260i −0.0463328 + 0.470425i 0.943823 + 0.330453i \(0.107201\pi\)
−0.990155 + 0.139973i \(0.955299\pi\)
\(710\) −21.4856 24.3066i −0.806340 0.912211i
\(711\) 19.1125 + 5.96769i 0.716775 + 0.223806i
\(712\) −28.5956 + 15.7201i −1.07166 + 0.589135i
\(713\) 34.5404 + 23.0791i 1.29355 + 0.864321i
\(714\) −0.0115376 + 0.0358914i −0.000431785 + 0.00134320i
\(715\) 2.06505 3.86343i 0.0772283 0.144484i
\(716\) 24.7927 15.6881i 0.926546 0.586293i
\(717\) 12.8364 + 27.4280i 0.479384 + 1.02432i
\(718\) 13.7379 0.503687i 0.512694 0.0187974i
\(719\) 0.949118 2.29137i 0.0353961 0.0854538i −0.905193 0.425001i \(-0.860274\pi\)
0.940589 + 0.339547i \(0.110274\pi\)
\(720\) −28.9341 21.8560i −1.07831 0.814526i
\(721\) 0.813923 + 1.96498i 0.0303121 + 0.0731798i
\(722\) 5.83211 + 12.7386i 0.217049 + 0.474081i
\(723\) 9.61800 26.5402i 0.357697 0.987039i
\(724\) −18.5475 0.461547i −0.689311 0.0171533i
\(725\) −2.50434 8.25571i −0.0930089 0.306609i
\(726\) 10.1644 11.9768i 0.377236 0.444500i
\(727\) −3.79472 19.0773i −0.140738 0.707539i −0.985130 0.171812i \(-0.945038\pi\)
0.844391 0.535727i \(-0.179962\pi\)
\(728\) −0.250437 0.0467582i −0.00928181 0.00173298i
\(729\) −26.0207 + 7.20573i −0.963730 + 0.266879i
\(730\) −2.25318 1.10018i −0.0833938 0.0407194i
\(731\) −0.808759 + 0.663732i −0.0299130 + 0.0245490i
\(732\) −49.9514 + 10.9864i −1.84626 + 0.406070i
\(733\) 18.4285 + 34.4774i 0.680673 + 1.27345i 0.950555 + 0.310557i \(0.100516\pi\)
−0.269881 + 0.962894i \(0.586984\pi\)
\(734\) 11.2118 + 15.5172i 0.413836 + 0.572749i
\(735\) 15.7587 32.9718i 0.581269 1.21618i
\(736\) 36.1448 + 7.68362i 1.33231 + 0.283222i
\(737\) −18.9741 + 18.9741i −0.698921 + 0.698921i
\(738\) 14.4795 + 25.3244i 0.532999 + 0.932204i
\(739\) 11.6991 + 21.8875i 0.430358 + 0.805143i 0.999858 0.0168481i \(-0.00536316\pi\)
−0.569500 + 0.821991i \(0.692863\pi\)
\(740\) −9.04013 5.12518i −0.332322 0.188405i
\(741\) −3.02502 1.82987i −0.111127 0.0672219i
\(742\) −0.0627576 0.182522i −0.00230390 0.00670061i
\(743\) −3.43718 0.683697i −0.126098 0.0250824i 0.131638 0.991298i \(-0.457976\pi\)
−0.257736 + 0.966215i \(0.582976\pi\)
\(744\) 31.1276 + 1.28883i 1.14119 + 0.0472509i
\(745\) −7.83618 39.3951i −0.287095 1.44333i
\(746\) 5.05980 19.1841i 0.185252 0.702381i
\(747\) −37.7307 25.6566i −1.38049 0.938727i
\(748\) 0.462299 0.178150i 0.0169033 0.00651382i
\(749\) −0.0696976 0.0571993i −0.00254669 0.00209002i
\(750\) 6.43118 + 0.106134i 0.234833 + 0.00387548i
\(751\) 12.0225 + 29.0248i 0.438706 + 1.05913i 0.976396 + 0.215988i \(0.0692971\pi\)
−0.537690 + 0.843143i \(0.680703\pi\)
\(752\) −41.2774 10.3689i −1.50523 0.378115i
\(753\) −1.98853 + 37.3789i −0.0724662 + 1.36216i
\(754\) 1.36087 1.46446i 0.0495601 0.0533325i
\(755\) −3.09640 31.4383i −0.112689 1.14416i
\(756\) −1.28389 0.513811i −0.0466947 0.0186871i
\(757\) −11.1343 + 20.8308i −0.404683 + 0.757108i −0.998885 0.0472073i \(-0.984968\pi\)
0.594202 + 0.804316i \(0.297468\pi\)
\(758\) −0.359072 2.64714i −0.0130421 0.0961483i
\(759\) −5.98339 + 23.4819i −0.217183 + 0.852340i
\(760\) 2.22419 25.6769i 0.0806799 0.931398i
\(761\) −17.1380 + 11.4512i −0.621252 + 0.415107i −0.825970 0.563714i \(-0.809372\pi\)
0.204718 + 0.978821i \(0.434372\pi\)
\(762\) −15.7114 + 4.48426i −0.569163 + 0.162447i
\(763\) 0.232937 2.36505i 0.00843287 0.0856204i
\(764\) 12.7185 + 25.2885i 0.460140 + 0.914906i
\(765\) −0.971928 + 0.393366i −0.0351401 + 0.0142222i
\(766\) −2.92029 + 0.693005i −0.105514 + 0.0250393i
\(767\) −1.27806 −0.0461479
\(768\) 26.1429 9.19500i 0.943351 0.331796i
\(769\) 23.7833 0.857649 0.428825 0.903388i \(-0.358928\pi\)
0.428825 + 0.903388i \(0.358928\pi\)
\(770\) 1.18500 0.281209i 0.0427045 0.0101341i
\(771\) −5.19587 + 0.234105i −0.187125 + 0.00843108i
\(772\) −14.7740 29.3754i −0.531727