Properties

Label 384.2.w.a.179.5
Level $384$
Weight $2$
Character 384.179
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 179.5
Character \(\chi\) \(=\) 384.179
Dual form 384.2.w.a.251.5

$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{31}{32}\right)\) \(-1\)

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 −0.799869 0.600174i \(-0.795098\pi\)
0.667412 0.744689i \(-0.267402\pi\)
\(6\) −0.672274 + 2.35543i −0.274455 + 0.961600i
\(7\) 0.110643 + 0.0739290i 0.0418189 + 0.0279425i 0.576304 0.817235i \(-0.304494\pi\)
−0.534485 + 0.845178i \(0.679494\pi\)
\(8\) −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 0.682482 0.730902i \(-0.260900\pi\)
−0.986890 + 0.161396i \(0.948400\pi\)
\(12\) 1.69418 3.02155i 0.489067 0.872246i
\(13\) 0.0663469 0.673631i 0.0184013 0.186832i −0.981590 0.191000i \(-0.938827\pi\)
0.999991 + 0.00416855i \(0.00132690\pi\)
\(14\) −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 −0.929156 0.369687i \(-0.879465\pi\)
0.918421 + 0.395604i \(0.129465\pi\)
\(18\) 4.02318 + 1.34686i 0.948272 + 0.317459i
\(19\) 2.33102 1.91302i 0.534773 0.438877i −0.327846 0.944731i \(-0.606323\pi\)
0.862619 + 0.505854i \(0.168823\pi\)
\(20\) 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 0.585309 + 0.810810i \(0.300973\pi\)
−0.851039 + 0.525103i \(0.824027\pi\)
\(24\) −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 −0.773778 0.633457i \(-0.781635\pi\)
0.956588 + 0.291443i \(0.0941353\pi\)
\(30\) 7.28238 + 1.32403i 1.32957 + 0.241733i
\(31\) −4.49674 4.49674i −0.807638 0.807638i 0.176638 0.984276i \(-0.443478\pi\)
−0.984276 + 0.176638i \(0.943478\pi\)
\(32\) −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 0.518765 0.854917i \(-0.326392\pi\)
−0.737284 + 0.675583i \(0.763892\pi\)
\(38\) −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 −0.722683 0.691180i \(-0.757091\pi\)
0.932175 0.362008i \(-0.117909\pi\)
\(42\) −0.248517 + 0.210910i −0.0383469 + 0.0325441i
\(43\) −2.62582 + 8.65616i −0.400433 + 1.32005i 0.492676 + 0.870213i \(0.336019\pi\)
−0.893110 + 0.449839i \(0.851481\pi\)
\(44\) −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 0.285762 + 0.958301i \(0.407753\pi\)
−0.879685 + 0.475556i \(0.842247\pi\)
\(48\) 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 0.846525 0.532349i \(-0.178690\pi\)
−0.912936 + 0.408103i \(0.866190\pi\)
\(54\) 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 −0.999686 0.0250409i \(-0.992028\pi\)
0.975592 0.219589i \(-0.0704716\pi\)
\(60\) −9.58821 4.19981i −1.23783 0.542193i
\(61\) −4.28587 14.1286i −0.548750 1.80899i −0.586829 0.809711i \(-0.699624\pi\)
0.0380789 0.999275i \(-0.487876\pi\)
\(62\) 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 0.545527 0.838093i \(-0.316330\pi\)
0.919209 + 0.393771i \(0.128830\pi\)
\(68\) −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 0.870560 0.492062i \(-0.163757\pi\)
−0.121457 + 0.992597i \(0.538757\pi\)
\(72\) 5.97809 + 6.02183i 0.704525 + 0.709679i
\(73\) 0.325981 + 0.487866i 0.0381532 + 0.0571004i 0.850056 0.526692i \(-0.176568\pi\)
−0.811903 + 0.583793i \(0.801568\pi\)
\(74\) 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 −0.701559 0.712611i \(-0.747512\pi\)
0.00781516 + 0.999969i \(0.497512\pi\)
\(80\) 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 0.295888 0.955223i \(-0.404385\pi\)
0.994593 0.103848i \(-0.0331154\pi\)
\(84\) 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 0.445343 0.895360i \(-0.353082\pi\)
0.754083 + 0.656779i \(0.228082\pi\)
\(90\) 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 0.377318 0.926084i \(-0.376846\pi\)
0.926084 0.377318i \(-0.123154\pi\)
\(98\) 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 0.496122 0.868253i \(-0.334757\pi\)
−0.754781 + 0.655977i \(0.772257\pi\)
\(102\) −0.221941 0.176095i −0.0219755 0.0174360i
\(103\) −3.11820 15.6762i −0.307245 1.54463i −0.758166 0.652062i \(-0.773904\pi\)
0.450921 0.892564i \(-0.351096\pi\)
\(104\) −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 −0.965934 0.258787i \(-0.916677\pi\)
0.946920 + 0.321470i \(0.104177\pi\)
\(108\) −5.87712 + 8.57085i −0.565526 + 0.824730i
\(109\) 11.3297 + 13.8053i 1.08519 + 1.32231i 0.943121 + 0.332450i \(0.107875\pi\)
0.142068 + 0.989857i \(0.454625\pi\)
\(110\) 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 0.999347 + 0.0361329i \(0.0115040\pi\)
−0.681095 + 0.732195i \(0.738496\pi\)
\(114\) 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 \(0.0956348\pi\)
−0.955205 + 0.295946i \(0.904365\pi\)
\(128\) 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 −0.725320 0.688412i \(-0.758308\pi\)
−0.220620 + 0.975360i \(0.570808\pi\)
\(132\) −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 −0.972000 0.234980i \(-0.924498\pi\)
0.154875 0.987934i \(-0.450502\pi\)
\(138\) −14.2341 7.30888i −1.21168 0.622173i
\(139\) 9.84289 5.26113i 0.834863 0.446243i 0.00218248 0.999998i \(-0.499305\pi\)
0.832680 + 0.553754i \(0.186805\pi\)
\(140\) 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 −0.277558 0.960709i \(-0.589525\pi\)
−0.764522 + 0.644598i \(0.777025\pi\)
\(150\) 0.825521 10.0851i 0.0674035 0.823448i
\(151\) −10.2534 2.03954i −0.834413 0.165975i −0.240647 0.970613i \(-0.577360\pi\)
−0.593766 + 0.804638i \(0.702360\pi\)
\(152\) −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 0.736231 0.676730i \(-0.236604\pi\)
−0.153652 + 0.988125i \(0.549104\pi\)
\(158\) 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 0.219436 0.975627i \(-0.429578\pi\)
−0.689292 + 0.724483i \(0.742078\pi\)
\(164\) 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 0.986070 0.166329i \(-0.0531913\pi\)
−0.974661 + 0.223685i \(0.928191\pi\)
\(168\) −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 0.750583 0.660776i \(-0.229773\pi\)
−0.794511 + 0.607250i \(0.792273\pi\)
\(174\) 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 0.627565 0.778564i \(-0.284052\pi\)
0.463616 + 0.886036i \(0.346552\pi\)
\(180\) −8.01441 + 16.2630i −0.597359 + 1.21217i
\(181\) −8.18124 + 4.37296i −0.608107 + 0.325040i −0.746549 0.665331i \(-0.768290\pi\)
0.138442 + 0.990371i \(0.455790\pi\)
\(182\) −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 \(-0.828886\pi\)
0.858955 0.512050i \(-0.171114\pi\)
\(192\) 13.7434 1.76586i 0.991846 0.127440i
\(193\) 16.4407i 1.18343i 0.806148 + 0.591713i \(0.201548\pi\)
−0.806148 + 0.591713i \(0.798452\pi\)
\(194\) −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 0.235618 0.971846i \(-0.424289\pi\)
0.420688 + 0.907205i \(0.361789\pi\)
\(198\) −1.51782 8.95894i −0.107867 0.636684i
\(199\) 8.96399 13.4156i 0.635441 0.951004i −0.364364 0.931256i \(-0.618714\pi\)
0.999805 0.0197476i \(-0.00628625\pi\)
\(200\) 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 0.411813 0.911268i \(-0.364896\pi\)
−0.974099 + 0.226121i \(0.927396\pi\)
\(212\) −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 −0.806511 0.591219i \(-0.798647\pi\)
0.591219 + 0.806511i \(0.298647\pi\)
\(224\) 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 0.512867 0.858468i \(-0.328583\pi\)
−0.428856 + 0.903373i \(0.641083\pi\)
\(228\) −1.83112 10.2843i −0.121269 0.681094i
\(229\) −12.9648 + 15.7976i −0.856737 + 1.04394i 0.141802 + 0.989895i \(0.454710\pi\)
−0.998539 + 0.0540416i \(0.982790\pi\)
\(230\) −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 −0.201217 0.979547i \(-0.564490\pi\)
−0.560757 + 0.827981i \(0.689490\pi\)
\(234\) 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 0.838052 0.545590i \(-0.183694\pi\)
0.206802 + 0.978383i \(0.433694\pi\)
\(240\) −13.3577 16.1202i −0.862235 1.04055i
\(241\) −15.0575 + 6.23702i −0.969939 + 0.401762i −0.810689 0.585477i \(-0.800907\pi\)
−0.159249 + 0.987238i \(0.550907\pi\)
\(242\) −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 0.607080 0.794641i \(-0.292341\pi\)
0.750442 + 0.660937i \(0.229841\pi\)
\(252\) −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 \(-0.970144\pi\)
0.995604 0.0936573i \(-0.0298558\pi\)
\(258\) −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 −0.999931 0.0117784i \(-0.996251\pi\)
0.393539 + 0.919308i \(0.371251\pi\)
\(264\) 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 0.743519 0.668714i \(-0.233155\pi\)
0.598773 + 0.800919i \(0.295655\pi\)
\(270\) −21.4014 5.92068i −1.30245 0.360321i
\(271\) 6.45988 + 15.5955i 0.392410 + 0.947361i 0.989414 + 0.145123i \(0.0463577\pi\)
−0.597004 + 0.802238i \(0.703642\pi\)
\(272\) −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 −0.950703 0.310104i \(-0.899636\pi\)
0.962765 + 0.270340i \(0.0871362\pi\)
\(278\) −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 0.964181 0.265244i \(-0.0854524\pi\)
−0.992292 + 0.123923i \(0.960452\pi\)
\(282\) −20.4166 16.1992i −1.21579 0.964645i
\(283\) −8.68052 7.12392i −0.516003 0.423473i 0.340014 0.940420i \(-0.389568\pi\)
−0.856017 + 0.516947i \(0.827068\pi\)
\(284\) 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 −0.344212 + 0.938892i \(0.611854\pi\)
−0.853699 + 0.520767i \(0.825646\pi\)
\(294\) 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 0.461289 + 0.887250i \(0.347387\pi\)
−0.625519 + 0.780209i \(0.715113\pi\)
\(308\) 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 0.918366 + 0.395731i \(0.129509\pi\)
0.0141645 + 0.999900i \(0.495491\pi\)
\(312\) 2.20794 + 2.47414i 0.125000 + 0.140070i
\(313\) −2.67059 1.78443i −0.150951 0.100862i 0.477801 0.878468i \(-0.341434\pi\)
−0.628752 + 0.777606i \(0.716434\pi\)
\(314\) −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 0.707756 0.706457i \(-0.249708\pi\)
0.980964 + 0.194189i \(0.0622075\pi\)
\(318\) 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 0.761657 0.647980i \(-0.224386\pi\)
−0.961930 + 0.273297i \(0.911886\pi\)
\(332\) 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 −0.697272 0.716807i \(-0.745603\pi\)
0.999905 0.0138132i \(-0.00439700\pi\)
\(338\) −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 0.599029 0.800727i \(-0.295553\pi\)
−0.668477 + 0.743733i \(0.733053\pi\)
\(348\) −3.89724 6.09495i −0.208914 0.326723i
\(349\) 13.2367 24.7641i 0.708543 1.32559i −0.227526 0.973772i \(-0.573064\pi\)
0.936068 0.351818i \(-0.114436\pi\)
\(350\) 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 0.571568 0.820555i \(-0.306335\pi\)
−0.820555 + 0.571568i \(0.806335\pi\)
\(354\) 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 −0.440153 0.897923i \(-0.645076\pi\)
−0.0630279 + 0.998012i \(0.520076\pi\)
\(360\) 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 −0.999501 0.0315909i \(-0.989943\pi\)
0.729092 + 0.684416i \(0.239943\pi\)
\(368\) −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 0.650485 0.759520i \(-0.274566\pi\)
−0.992907 + 0.118892i \(0.962066\pi\)
\(374\) −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 0.989258 0.146183i \(-0.0466987\pi\)
−0.998768 + 0.0496209i \(0.984199\pi\)
\(380\) −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 −0.993694 0.112123i \(-0.964235\pi\)
0.952727 0.303829i \(-0.0982651\pi\)
\(390\) 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 −0.972797 0.231661i \(-0.925584\pi\)
0.999299 0.0374260i \(-0.0119159\pi\)
\(398\) −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 −0.975128 0.221643i \(-0.928858\pi\)
0.846245 + 0.532794i \(0.178858\pi\)
\(402\) 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 −0.741030 0.671471i \(-0.765663\pi\)
−0.427662 + 0.903939i \(0.640663\pi\)
\(410\) 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 0.199451 0.979908i \(-0.436084\pi\)
0.703954 0.710245i \(-0.251416\pi\)
\(420\) −0.750376 1.17352i −0.0366146 0.0572621i
\(421\) 4.84347 + 3.97493i 0.236056 + 0.193726i 0.744983 0.667084i \(-0.232458\pi\)
−0.508927 + 0.860810i \(0.669958\pi\)
\(422\) 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 −0.258300 0.966065i \(-0.583162\pi\)
0.865757 0.500465i \(-0.166838\pi\)
\(432\) −18.2029 + 10.0327i −0.875788 + 0.482697i
\(433\) 11.9701 + 28.8984i 0.575246 + 1.38877i 0.897037 + 0.441956i \(0.145715\pi\)
−0.321791 + 0.946811i \(0.604285\pi\)
\(434\) −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 −0.866897 0.498487i \(-0.833889\pi\)
0.128794 + 0.991671i \(0.458889\pi\)
\(440\) 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 −0.937287 0.348558i \(-0.886671\pi\)
0.851277 0.524716i \(-0.175829\pi\)
\(444\) −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 0.970256 + 0.242081i \(0.0778298\pi\)
−0.147648 + 0.989040i \(0.547170\pi\)
\(458\) 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 −0.964276 0.264898i \(-0.914662\pi\)
0.997427 0.0716871i \(-0.0228383\pi\)
\(462\) 0.649279 + 0.256472i 0.0302072 + 0.0119322i
\(463\) −26.1364 + 10.8260i −1.21466 + 0.503129i −0.895708 0.444642i \(-0.853331\pi\)
−0.318952 + 0.947771i \(0.603331\pi\)
\(464\) 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 −0.753237 0.657750i \(-0.771508\pi\)
0.498162 + 0.867084i \(0.334008\pi\)
\(468\) −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 0.413225 0.910629i \(-0.364402\pi\)
−0.910629 + 0.413225i \(0.864402\pi\)
\(480\) 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 0.998245 + 0.0592162i \(0.0188601\pi\)
−0.899597 + 0.436721i \(0.856140\pi\)
\(488\) −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 0.654092 + 0.756415i \(0.273051\pi\)
−0.964099 + 0.265542i \(0.914449\pi\)
\(492\) −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 −0.400421 0.916331i \(-0.631136\pi\)
−0.571495 + 0.820606i \(0.693636\pi\)
\(500\) 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 −0.573187 0.819425i \(-0.694293\pi\)
0.537701 + 0.843136i \(0.319293\pi\)
\(504\) 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 0.986977 0.160864i \(-0.0514281\pi\)
−0.910012 + 0.414581i \(0.863928\pi\)
\(510\) −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 0.910857 + 0.412723i \(0.135422\pi\)
0.0327364 + 0.999464i \(0.489578\pi\)
\(522\) 6.44133 6.08396i 0.281929 0.266288i
\(523\) 7.70442 4.11810i 0.336891 0.180072i −0.294273 0.955721i \(-0.595078\pi\)
0.631164 + 0.775649i \(0.282578\pi\)
\(524\) −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 0.499059 0.866568i \(-0.333679\pi\)
−0.443262 + 0.896392i \(0.646179\pi\)
\(542\) −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 0.766174 0.642633i \(-0.222158\pi\)
−0.108666 + 0.994078i \(0.534658\pi\)
\(548\) −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 0.522660 0.852541i \(-0.324940\pi\)
−0.938126 + 0.346295i \(0.887440\pi\)
\(558\) −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 −0.613777 0.789479i \(-0.710351\pi\)
−0.756003 + 0.654568i \(0.772851\pi\)
\(564\) 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 0.283555 + 0.958956i \(0.408486\pi\)
−0.994472 + 0.105006i \(0.966514\pi\)
\(570\) 19.5083 10.8450i 0.817112 0.454247i
\(571\) −37.3656 + 3.68019i −1.56370 + 0.154011i −0.842493 0.538708i \(-0.818913\pi\)
−0.721208 + 0.692719i \(0.756413\pi\)
\(572\) −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 \(0.154196\pi\)
−0.884944 + 0.465697i \(0.845804\pi\)
\(578\) −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 −0.0258154 0.999667i \(-0.508218\pi\)
0.816850 + 0.576850i \(0.195718\pi\)
\(588\) −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 0.666899 0.745148i \(-0.267621\pi\)
−0.0553307 + 0.998468i \(0.517621\pi\)
\(594\) −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 0.697149 0.716927i \(-0.254452\pi\)
0.369725 + 0.929141i \(0.379452\pi\)
\(600\) 10.5377 17.2778i 0.430201 0.705363i
\(601\) −1.78948 8.99631i −0.0729943 0.366967i 0.926972 0.375130i \(-0.122402\pi\)
−0.999967 + 0.00816249i \(0.997402\pi\)
\(602\) 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 0.0782847 0.996931i \(-0.475056\pi\)
0.996931 0.0782847i \(-0.0249443\pi\)
\(608\) −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 0.0924871 0.995714i \(-0.470518\pi\)
0.958538 0.284964i \(-0.0919817\pi\)
\(614\) 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 0.913805 0.406153i \(-0.133130\pi\)
0.688818 + 0.724934i \(0.258130\pi\)
\(618\) 39.0206 + 3.19404i 1.56964 + 0.128483i
\(619\) 37.0041 + 11.2251i 1.48732 + 0.451173i 0.926350 0.376663i \(-0.122929\pi\)
0.560969 + 0.827837i \(0.310429\pi\)
\(620\) −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 0.929293 + 0.369344i \(0.120417\pi\)
−0.0143959 + 0.999896i \(0.504583\pi\)
\(632\) 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 \(0.0789117\pi\)
−0.969428 + 0.245377i \(0.921088\pi\)
\(642\) −1.39503 0.899189i −0.0550573 0.0354881i
\(643\) 6.20232 + 20.4463i 0.244596 + 0.806324i 0.990166 + 0.139897i \(0.0446772\pi\)
−0.745570 + 0.666427i \(0.767823\pi\)
\(644\) −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 −0.936512 0.350636i \(-0.885965\pi\)
0.682333 + 0.731042i \(0.260965\pi\)
\(648\) −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 0.185432 0.982657i \(-0.440632\pi\)
−0.00983783 + 0.999952i \(0.503132\pi\)
\(654\) −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 0.753943 0.656940i \(-0.228150\pi\)
−0.791404 + 0.611293i \(0.790650\pi\)
\(660\) 1.74755 + 22.3507i 0.0680232 + 0.870001i
\(661\) −1.48693 + 4.90174i −0.0578348 + 0.190656i −0.981098 0.193513i \(-0.938012\pi\)
0.923263 + 0.384169i \(0.125512\pi\)
\(662\) 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 0.872665 0.488319i \(-0.162390\pi\)
−0.488319 + 0.872665i \(0.662390\pi\)
\(674\) −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 −0.185056 0.982728i \(-0.559247\pi\)
0.999948 0.0102206i \(-0.00325337\pi\)
\(678\) −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 0.444797 0.895631i \(-0.353276\pi\)
−0.127751 + 0.991806i \(0.540776\pi\)
\(684\) −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 −0.998774 0.0495076i \(-0.984235\pi\)
0.989241 + 0.146295i \(0.0467348\pi\)
\(692\) −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 0.225427 0.974260i \(-0.427622\pi\)
0.728705 + 0.684827i \(0.240122\pi\)
\(702\) −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 −0.990155 0.139973i \(-0.955299\pi\)
0.943823 0.330453i \(-0.107201\pi\)
\(710\) −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 0.940589 0.339547i \(-0.110274\pi\)
−0.905193 + 0.425001i \(0.860274\pi\)
\(720\) −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 0.844391 + 0.535727i \(0.179962\pi\)
−0.985130 + 0.171812i \(0.945038\pi\)
\(728\) −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 −0.269881 0.962894i \(-0.586984\pi\)
0.950555 0.310557i \(-0.100516\pi\)
\(734\) 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 −0.569500 0.821991i \(-0.692863\pi\)
0.999858 + 0.0168481i \(0.00536316\pi\)
\(740\) −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 −0.257736 0.966215i \(-0.582976\pi\)
0.131638 + 0.991298i \(0.457976\pi\)
\(744\) 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 −0.537690 0.843143i \(-0.680703\pi\)
0.976396 0.215988i \(-0.0692971\pi\)
\(752\) −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 0.594202 0.804316i \(-0.297468\pi\)
−0.998885 + 0.0472073i \(0.984968\pi\)
\(758\) −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 0.204718 0.978821i \(-0.434372\pi\)
−0.825970 + 0.563714i \(0.809372\pi\)
\(762\) −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 + 1.05724i