Properties

Label 384.2.w.a.11.2
Level $384$
Weight $2$
Character 384.11
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 11.2
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41347 + 0.0458784i) q^{2} +(-0.204040 - 1.71999i) q^{3} +(1.99579 - 0.129695i) q^{4} +(-0.561681 - 0.300225i) q^{5} +(0.367315 + 2.42179i) q^{6} +(-0.946225 - 0.188216i) q^{7} +(-2.81504 + 0.274884i) q^{8} +(-2.91674 + 0.701894i) q^{9} +O(q^{10})\) \(q+(-1.41347 + 0.0458784i) q^{2} +(-0.204040 - 1.71999i) q^{3} +(1.99579 - 0.129695i) q^{4} +(-0.561681 - 0.300225i) q^{5} +(0.367315 + 2.42179i) q^{6} +(-0.946225 - 0.188216i) q^{7} +(-2.81504 + 0.274884i) q^{8} +(-2.91674 + 0.701894i) q^{9} +(0.807693 + 0.398589i) q^{10} +(-4.33792 + 3.56004i) q^{11} +(-0.630296 - 3.40628i) q^{12} +(-1.08354 + 0.579164i) q^{13} +(1.34610 + 0.222626i) q^{14} +(-0.401778 + 1.02734i) q^{15} +(3.96636 - 0.517690i) q^{16} +(2.91472 - 1.20732i) q^{17} +(4.09051 - 1.12592i) q^{18} +(-0.764121 + 2.51897i) q^{19} +(-1.15994 - 0.526338i) q^{20} +(-0.130662 + 1.66590i) q^{21} +(5.96819 - 5.23103i) q^{22} +(-3.58426 - 2.39493i) q^{23} +(1.04718 + 4.78575i) q^{24} +(-2.55250 - 3.82009i) q^{25} +(1.50498 - 0.868342i) q^{26} +(1.80238 + 4.87354i) q^{27} +(-1.91288 - 0.252918i) q^{28} +(4.42389 + 3.63059i) q^{29} +(0.520768 - 1.47055i) q^{30} +(-5.09112 + 5.09112i) q^{31} +(-5.58257 + 0.913709i) q^{32} +(7.00835 + 6.73480i) q^{33} +(-4.06448 + 1.84023i) q^{34} +(0.474970 + 0.389798i) q^{35} +(-5.73016 + 1.77912i) q^{36} +(2.98132 + 9.82808i) q^{37} +(0.964495 - 3.59554i) q^{38} +(1.21724 + 1.74551i) q^{39} +(1.66368 + 0.690747i) q^{40} +(-6.17366 - 4.12511i) q^{41} +(0.108257 - 2.36070i) q^{42} +(0.337787 - 3.42961i) q^{43} +(-8.19587 + 7.66771i) q^{44} +(1.84900 + 0.481436i) q^{45} +(5.17612 + 3.22072i) q^{46} +(-5.09963 + 2.11234i) q^{47} +(-1.69972 - 6.71647i) q^{48} +(-5.60724 - 2.32259i) q^{49} +(3.78314 + 5.28247i) q^{50} +(-2.67130 - 4.76696i) q^{51} +(-2.08740 + 1.29642i) q^{52} +(5.19851 - 4.26631i) q^{53} +(-2.77120 - 6.80591i) q^{54} +(3.50534 - 0.697256i) q^{55} +(2.71540 + 0.269733i) q^{56} +(4.48851 + 0.800310i) q^{57} +(-6.41959 - 4.92877i) q^{58} +(-5.41933 - 2.89669i) q^{59} +(-0.668624 + 2.10247i) q^{60} +(1.20239 + 12.2081i) q^{61} +(6.96257 - 7.42971i) q^{62} +(2.89200 - 0.115174i) q^{63} +(7.84888 - 1.54762i) q^{64} +0.782483 q^{65} +(-10.2151 - 9.19790i) q^{66} +(-6.84254 + 0.673931i) q^{67} +(5.66059 - 2.78758i) q^{68} +(-3.38792 + 6.65356i) q^{69} +(-0.689238 - 0.529176i) q^{70} +(-1.54163 - 0.306648i) q^{71} +(8.01778 - 2.77762i) q^{72} +(-0.975623 - 4.90479i) q^{73} +(-4.66490 - 13.7549i) q^{74} +(-6.04970 + 5.16973i) q^{75} +(-1.19833 + 5.12644i) q^{76} +(4.77471 - 2.55214i) q^{77} +(-1.80062 - 2.41137i) q^{78} +(3.41823 - 8.25234i) q^{79} +(-2.38325 - 0.900023i) q^{80} +(8.01469 - 4.09448i) q^{81} +(8.91553 + 5.54747i) q^{82} +(3.20228 - 10.5565i) q^{83} +(-0.0447137 + 3.34174i) q^{84} +(-1.99961 - 0.196945i) q^{85} +(-0.320107 + 4.86315i) q^{86} +(5.34193 - 8.34983i) q^{87} +(11.2328 - 11.2141i) q^{88} +(-1.88722 - 2.82442i) q^{89} +(-2.63559 - 0.595665i) q^{90} +(1.13428 - 0.344080i) q^{91} +(-7.46405 - 4.31491i) q^{92} +(9.79547 + 7.71788i) q^{93} +(7.11126 - 3.21969i) q^{94} +(1.18545 - 1.18545i) q^{95} +(2.71064 + 9.41554i) q^{96} +(-7.71963 - 7.71963i) q^{97} +(8.03222 + 3.02566i) q^{98} +(10.1538 - 13.4285i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41347 + 0.0458784i −0.999474 + 0.0324409i
\(3\) −0.204040 1.71999i −0.117803 0.993037i
\(4\) 1.99579 0.129695i 0.997895 0.0648477i
\(5\) −0.561681 0.300225i −0.251191 0.134265i 0.340996 0.940065i \(-0.389236\pi\)
−0.592188 + 0.805800i \(0.701736\pi\)
\(6\) 0.367315 + 2.42179i 0.149956 + 0.988693i
\(7\) −0.946225 0.188216i −0.357640 0.0711389i 0.0130006 0.999915i \(-0.495862\pi\)
−0.370640 + 0.928777i \(0.620862\pi\)
\(8\) −2.81504 + 0.274884i −0.995266 + 0.0971862i
\(9\) −2.91674 + 0.701894i −0.972245 + 0.233965i
\(10\) 0.807693 + 0.398589i 0.255415 + 0.126045i
\(11\) −4.33792 + 3.56004i −1.30793 + 1.07339i −0.315719 + 0.948853i \(0.602246\pi\)
−0.992215 + 0.124540i \(0.960254\pi\)
\(12\) −0.630296 3.40628i −0.181951 0.983308i
\(13\) −1.08354 + 0.579164i −0.300520 + 0.160631i −0.614764 0.788711i \(-0.710749\pi\)
0.314244 + 0.949342i \(0.398249\pi\)
\(14\) 1.34610 + 0.222626i 0.359759 + 0.0594993i
\(15\) −0.401778 + 1.02734i −0.103739 + 0.265259i
\(16\) 3.96636 0.517690i 0.991590 0.129422i
\(17\) 2.91472 1.20732i 0.706924 0.292818i −0.000106898 1.00000i \(-0.500034\pi\)
0.707031 + 0.707182i \(0.250034\pi\)
\(18\) 4.09051 1.12592i 0.964143 0.265382i
\(19\) −0.764121 + 2.51897i −0.175301 + 0.577891i 0.824624 + 0.565681i \(0.191387\pi\)
−0.999925 + 0.0122099i \(0.996113\pi\)
\(20\) −1.15994 0.526338i −0.259369 0.117693i
\(21\) −0.130662 + 1.66590i −0.0285127 + 0.363530i
\(22\) 5.96819 5.23103i 1.27242 1.11526i
\(23\) −3.58426 2.39493i −0.747371 0.499377i 0.122615 0.992454i \(-0.460872\pi\)
−0.869986 + 0.493077i \(0.835872\pi\)
\(24\) 1.04718 + 4.78575i 0.213754 + 0.976887i
\(25\) −2.55250 3.82009i −0.510500 0.764017i
\(26\) 1.50498 0.868342i 0.295151 0.170296i
\(27\) 1.80238 + 4.87354i 0.346868 + 0.937914i
\(28\) −1.91288 0.252918i −0.361500 0.0477971i
\(29\) 4.42389 + 3.63059i 0.821495 + 0.674183i 0.948171 0.317761i \(-0.102931\pi\)
−0.126676 + 0.991944i \(0.540431\pi\)
\(30\) 0.520768 1.47055i 0.0950789 0.268485i
\(31\) −5.09112 + 5.09112i −0.914392 + 0.914392i −0.996614 0.0822222i \(-0.973798\pi\)
0.0822222 + 0.996614i \(0.473798\pi\)
\(32\) −5.58257 + 0.913709i −0.986869 + 0.161522i
\(33\) 7.00835 + 6.73480i 1.22000 + 1.17238i
\(34\) −4.06448 + 1.84023i −0.697053 + 0.315597i
\(35\) 0.474970 + 0.389798i 0.0802845 + 0.0658878i
\(36\) −5.73016 + 1.77912i −0.955027 + 0.296520i
\(37\) 2.98132 + 9.82808i 0.490125 + 1.61573i 0.757987 + 0.652270i \(0.226183\pi\)
−0.267862 + 0.963457i \(0.586317\pi\)
\(38\) 0.964495 3.59554i 0.156462 0.583274i
\(39\) 1.21724 + 1.74551i 0.194915 + 0.279505i
\(40\) 1.66368 + 0.690747i 0.263051 + 0.109217i
\(41\) −6.17366 4.12511i −0.964163 0.644233i −0.0294238 0.999567i \(-0.509367\pi\)
−0.934740 + 0.355334i \(0.884367\pi\)
\(42\) 0.108257 2.36070i 0.0167045 0.364263i
\(43\) 0.337787 3.42961i 0.0515121 0.523011i −0.934456 0.356078i \(-0.884114\pi\)
0.985968 0.166933i \(-0.0533863\pi\)
\(44\) −8.19587 + 7.66771i −1.23557 + 1.15595i
\(45\) 1.84900 + 0.481436i 0.275633 + 0.0717682i
\(46\) 5.17612 + 3.22072i 0.763178 + 0.474869i
\(47\) −5.09963 + 2.11234i −0.743858 + 0.308116i −0.722233 0.691650i \(-0.756884\pi\)
−0.0216253 + 0.999766i \(0.506884\pi\)
\(48\) −1.69972 6.71647i −0.245333 0.969439i
\(49\) −5.60724 2.32259i −0.801034 0.331799i
\(50\) 3.78314 + 5.28247i 0.535017 + 0.747054i
\(51\) −2.67130 4.76696i −0.374056 0.667507i
\(52\) −2.08740 + 1.29642i −0.289471 + 0.179781i
\(53\) 5.19851 4.26631i 0.714071 0.586023i −0.205636 0.978629i \(-0.565926\pi\)
0.919707 + 0.392606i \(0.128426\pi\)
\(54\) −2.77120 6.80591i −0.377113 0.926167i
\(55\) 3.50534 0.697256i 0.472660 0.0940180i
\(56\) 2.71540 + 0.269733i 0.362860 + 0.0360445i
\(57\) 4.48851 + 0.800310i 0.594518 + 0.106004i
\(58\) −6.41959 4.92877i −0.842934 0.647179i
\(59\) −5.41933 2.89669i −0.705537 0.377117i 0.0792738 0.996853i \(-0.474740\pi\)
−0.784811 + 0.619736i \(0.787240\pi\)
\(60\) −0.668624 + 2.10247i −0.0863189 + 0.271428i
\(61\) 1.20239 + 12.2081i 0.153950 + 1.56308i 0.693079 + 0.720862i \(0.256254\pi\)
−0.539129 + 0.842223i \(0.681246\pi\)
\(62\) 6.96257 7.42971i 0.884247 0.943574i
\(63\) 2.89200 0.115174i 0.364357 0.0145105i
\(64\) 7.84888 1.54762i 0.981110 0.193452i
\(65\) 0.782483 0.0970551
\(66\) −10.2151 9.19790i −1.25739 1.13218i
\(67\) −6.84254 + 0.673931i −0.835949 + 0.0823338i −0.506928 0.861989i \(-0.669219\pi\)
−0.329022 + 0.944322i \(0.606719\pi\)
\(68\) 5.66059 2.78758i 0.686448 0.338044i
\(69\) −3.38792 + 6.65356i −0.407858 + 0.800995i
\(70\) −0.689238 0.529176i −0.0823797 0.0632486i
\(71\) −1.54163 0.306648i −0.182957 0.0363925i 0.102761 0.994706i \(-0.467232\pi\)
−0.285719 + 0.958314i \(0.592232\pi\)
\(72\) 8.01778 2.77762i 0.944905 0.327346i
\(73\) −0.975623 4.90479i −0.114188 0.574062i −0.994939 0.100482i \(-0.967961\pi\)
0.880751 0.473580i \(-0.157039\pi\)
\(74\) −4.66490 13.7549i −0.542283 1.59898i
\(75\) −6.04970 + 5.16973i −0.698559 + 0.596949i
\(76\) −1.19833 + 5.12644i −0.137457 + 0.588042i
\(77\) 4.77471 2.55214i 0.544129 0.290843i
\(78\) −1.80062 2.41137i −0.203880 0.273034i
\(79\) 3.41823 8.25234i 0.384581 0.928460i −0.606486 0.795094i \(-0.707421\pi\)
0.991067 0.133366i \(-0.0425786\pi\)
\(80\) −2.38325 0.900023i −0.266456 0.100626i
\(81\) 8.01469 4.09448i 0.890521 0.454942i
\(82\) 8.91553 + 5.54747i 0.984555 + 0.612616i
\(83\) 3.20228 10.5565i 0.351496 1.15873i −0.585877 0.810400i \(-0.699250\pi\)
0.937373 0.348327i \(-0.113250\pi\)
\(84\) −0.0447137 + 3.34174i −0.00487866 + 0.364613i
\(85\) −1.99961 0.196945i −0.216888 0.0213616i
\(86\) −0.320107 + 4.86315i −0.0345180 + 0.524407i
\(87\) 5.34193 8.34983i 0.572715 0.895195i
\(88\) 11.2328 11.2141i 1.19742 1.19542i
\(89\) −1.88722 2.82442i −0.200044 0.299388i 0.717861 0.696186i \(-0.245121\pi\)
−0.917906 + 0.396799i \(0.870121\pi\)
\(90\) −2.63559 0.595665i −0.277816 0.0627887i
\(91\) 1.13428 0.344080i 0.118905 0.0360694i
\(92\) −7.46405 4.31491i −0.778181 0.449861i
\(93\) 9.79547 + 7.71788i 1.01574 + 0.800307i
\(94\) 7.11126 3.21969i 0.733471 0.332085i
\(95\) 1.18545 1.18545i 0.121624 0.121624i
\(96\) 2.71064 + 9.41554i 0.276653 + 0.960970i
\(97\) −7.71963 7.71963i −0.783810 0.783810i 0.196661 0.980471i \(-0.436990\pi\)
−0.980471 + 0.196661i \(0.936990\pi\)
\(98\) 8.03222 + 3.02566i 0.811377 + 0.305638i
\(99\) 10.1538 13.4285i 1.02050 1.34961i
\(100\) −5.58970 7.29305i −0.558970 0.729305i
\(101\) 0.0404198 + 0.133246i 0.00402192 + 0.0132585i 0.958928 0.283648i \(-0.0915449\pi\)
−0.954906 + 0.296907i \(0.904045\pi\)
\(102\) 3.99449 + 6.61539i 0.395514 + 0.655021i
\(103\) −1.50427 + 1.00512i −0.148220 + 0.0990374i −0.627469 0.778642i \(-0.715909\pi\)
0.479249 + 0.877679i \(0.340909\pi\)
\(104\) 2.89100 1.92822i 0.283486 0.189077i
\(105\) 0.573535 0.896478i 0.0559713 0.0874873i
\(106\) −7.15221 + 6.26880i −0.694684 + 0.608879i
\(107\) −0.750960 + 7.62463i −0.0725981 + 0.737100i 0.888127 + 0.459598i \(0.152007\pi\)
−0.960725 + 0.277502i \(0.910493\pi\)
\(108\) 4.22925 + 9.49281i 0.406960 + 0.913446i
\(109\) −9.13787 2.77194i −0.875249 0.265504i −0.179473 0.983763i \(-0.557439\pi\)
−0.695776 + 0.718259i \(0.744939\pi\)
\(110\) −4.92270 + 1.14637i −0.469361 + 0.109302i
\(111\) 16.2959 7.13316i 1.54674 0.677049i
\(112\) −3.85051 0.256681i −0.363839 0.0242540i
\(113\) 17.2900 + 7.16175i 1.62651 + 0.673721i 0.994834 0.101514i \(-0.0323688\pi\)
0.631672 + 0.775235i \(0.282369\pi\)
\(114\) −6.38109 0.925288i −0.597644 0.0866611i
\(115\) 1.29420 + 2.42127i 0.120684 + 0.225785i
\(116\) 9.30002 + 6.67214i 0.863485 + 0.619492i
\(117\) 2.75389 2.44980i 0.254597 0.226484i
\(118\) 7.79295 + 3.84576i 0.717400 + 0.354031i
\(119\) −2.98522 + 0.593797i −0.273655 + 0.0544333i
\(120\) 0.848621 3.00245i 0.0774681 0.274085i
\(121\) 3.99769 20.0977i 0.363426 1.82707i
\(122\) −2.25963 17.2006i −0.204577 1.55727i
\(123\) −5.83547 + 11.4603i −0.526167 + 1.03334i
\(124\) −9.50051 + 10.8211i −0.853171 + 0.971763i
\(125\) 0.598934 + 6.08108i 0.0535703 + 0.543908i
\(126\) −4.08246 + 0.295475i −0.363695 + 0.0263230i
\(127\) 4.61930i 0.409897i −0.978773 0.204948i \(-0.934297\pi\)
0.978773 0.204948i \(-0.0657027\pi\)
\(128\) −11.0231 + 2.54760i −0.974318 + 0.225179i
\(129\) −5.96783 + 0.118787i −0.525438 + 0.0104586i
\(130\) −1.10602 + 0.0358991i −0.0970040 + 0.00314856i
\(131\) −10.3900 + 1.02332i −0.907776 + 0.0894081i −0.541117 0.840947i \(-0.681998\pi\)
−0.366659 + 0.930355i \(0.619498\pi\)
\(132\) 14.8607 + 12.5323i 1.29346 + 1.09080i
\(133\) 1.19714 2.23969i 0.103805 0.194206i
\(134\) 9.64080 1.26651i 0.832838 0.109409i
\(135\) 0.450795 3.27850i 0.0387982 0.282168i
\(136\) −7.87318 + 4.19986i −0.675120 + 0.360135i
\(137\) 1.39468 + 7.01151i 0.119155 + 0.599033i 0.993510 + 0.113746i \(0.0362850\pi\)
−0.874355 + 0.485287i \(0.838715\pi\)
\(138\) 4.48347 9.56004i 0.381658 0.813804i
\(139\) −12.3657 15.0677i −1.04885 1.27802i −0.959405 0.282031i \(-0.908992\pi\)
−0.0894408 0.995992i \(-0.528508\pi\)
\(140\) 0.998495 + 0.716353i 0.0843882 + 0.0605429i
\(141\) 4.67373 + 8.34032i 0.393599 + 0.702382i
\(142\) 2.19311 + 0.362711i 0.184042 + 0.0304380i
\(143\) 2.63847 6.36982i 0.220640 0.532671i
\(144\) −11.2055 + 4.29393i −0.933788 + 0.357827i
\(145\) −1.39482 3.36739i −0.115833 0.279647i
\(146\) 1.60404 + 6.88801i 0.132751 + 0.570055i
\(147\) −2.85074 + 10.1183i −0.235125 + 0.834543i
\(148\) 7.22474 + 19.2281i 0.593870 + 1.58054i
\(149\) −15.2546 1.50244i −1.24970 0.123085i −0.548564 0.836109i \(-0.684825\pi\)
−0.701140 + 0.713024i \(0.747325\pi\)
\(150\) 8.31389 7.58480i 0.678826 0.619296i
\(151\) 1.14578 1.71479i 0.0932427 0.139548i −0.781916 0.623384i \(-0.785757\pi\)
0.875158 + 0.483837i \(0.160757\pi\)
\(152\) 1.45860 7.30104i 0.118308 0.592192i
\(153\) −7.65407 + 5.56725i −0.618795 + 0.450086i
\(154\) −6.63182 + 3.82642i −0.534407 + 0.308342i
\(155\) 4.38806 1.33110i 0.352458 0.106917i
\(156\) 2.65575 + 3.32579i 0.212630 + 0.266277i
\(157\) 4.05129 4.93652i 0.323328 0.393977i −0.585825 0.810437i \(-0.699230\pi\)
0.909154 + 0.416460i \(0.136730\pi\)
\(158\) −4.45296 + 11.8212i −0.354258 + 0.940448i
\(159\) −8.39872 8.07090i −0.666062 0.640064i
\(160\) 3.40994 + 1.16281i 0.269580 + 0.0919285i
\(161\) 2.94076 + 2.94076i 0.231764 + 0.231764i
\(162\) −11.1407 + 6.15512i −0.875294 + 0.483592i
\(163\) 4.26034 5.19124i 0.333696 0.406609i −0.578949 0.815364i \(-0.696537\pi\)
0.912644 + 0.408755i \(0.134037\pi\)
\(164\) −12.8563 7.43215i −1.00391 0.580354i
\(165\) −1.91450 5.88689i −0.149044 0.458294i
\(166\) −4.04201 + 15.0682i −0.313721 + 1.16952i
\(167\) −3.89099 + 2.59987i −0.301094 + 0.201184i −0.696934 0.717135i \(-0.745453\pi\)
0.395841 + 0.918319i \(0.370453\pi\)
\(168\) −0.0901121 4.72549i −0.00695230 0.364580i
\(169\) −6.38378 + 9.55401i −0.491060 + 0.734924i
\(170\) 2.83543 + 0.186636i 0.217467 + 0.0143143i
\(171\) 0.460690 7.88349i 0.0352298 0.602866i
\(172\) 0.229348 6.88860i 0.0174876 0.525251i
\(173\) −12.9092 3.91595i −0.981465 0.297724i −0.241523 0.970395i \(-0.577647\pi\)
−0.739942 + 0.672671i \(0.765147\pi\)
\(174\) −7.16758 + 12.0473i −0.543373 + 0.913304i
\(175\) 1.69624 + 4.09508i 0.128224 + 0.309559i
\(176\) −15.3628 + 16.3661i −1.15801 + 1.23364i
\(177\) −3.87652 + 9.91224i −0.291377 + 0.745050i
\(178\) 2.79710 + 3.90564i 0.209652 + 0.292740i
\(179\) 5.14017 + 9.61658i 0.384194 + 0.718777i 0.997470 0.0710922i \(-0.0226485\pi\)
−0.613276 + 0.789869i \(0.710148\pi\)
\(180\) 3.75266 + 0.721038i 0.279707 + 0.0537430i
\(181\) 2.39530 + 2.91868i 0.178041 + 0.216943i 0.854382 0.519645i \(-0.173936\pi\)
−0.676342 + 0.736588i \(0.736436\pi\)
\(182\) −1.58749 + 0.538386i −0.117672 + 0.0399078i
\(183\) 20.7525 4.55904i 1.53407 0.337014i
\(184\) 10.7482 + 5.75656i 0.792365 + 0.424379i
\(185\) 1.27609 6.41531i 0.0938196 0.471663i
\(186\) −14.1997 10.4596i −1.04117 0.766934i
\(187\) −8.34575 + 15.6138i −0.610301 + 1.14179i
\(188\) −9.90384 + 4.87718i −0.722312 + 0.355705i
\(189\) −0.788180 4.95071i −0.0573317 0.360111i
\(190\) −1.62121 + 1.72998i −0.117615 + 0.125506i
\(191\) 22.2209i 1.60785i 0.594733 + 0.803924i \(0.297258\pi\)
−0.594733 + 0.803924i \(0.702742\pi\)
\(192\) −4.26337 13.1842i −0.307683 0.951489i
\(193\) 8.39715i 0.604440i 0.953238 + 0.302220i \(0.0977277\pi\)
−0.953238 + 0.302220i \(0.902272\pi\)
\(194\) 11.2656 + 10.5573i 0.808825 + 0.757970i
\(195\) −0.159658 1.34586i −0.0114333 0.0963793i
\(196\) −11.4921 3.90818i −0.820865 0.279156i
\(197\) 12.4818 23.3518i 0.889293 1.66375i 0.151783 0.988414i \(-0.451499\pi\)
0.737510 0.675336i \(-0.236001\pi\)
\(198\) −13.7360 + 19.4466i −0.976176 + 1.38201i
\(199\) 1.22829 6.17502i 0.0870711 0.437736i −0.912517 0.409039i \(-0.865864\pi\)
0.999588 0.0286972i \(-0.00913586\pi\)
\(200\) 8.23547 + 10.0520i 0.582335 + 0.710787i
\(201\) 2.55531 + 11.6316i 0.180238 + 0.820430i
\(202\) −0.0632453 0.186485i −0.00444992 0.0131210i
\(203\) −3.50266 4.26800i −0.245838 0.299555i
\(204\) −5.94960 9.16739i −0.416555 0.641846i
\(205\) 2.22917 + 4.17048i 0.155692 + 0.291279i
\(206\) 2.08012 1.48972i 0.144929 0.103794i
\(207\) 12.1353 + 4.46960i 0.843464 + 0.310659i
\(208\) −3.99788 + 2.85811i −0.277203 + 0.198174i
\(209\) −5.65294 13.6474i −0.391022 0.944010i
\(210\) −0.769546 + 1.29346i −0.0531037 + 0.0892570i
\(211\) −1.47173 0.446443i −0.101318 0.0307344i 0.239219 0.970966i \(-0.423109\pi\)
−0.340537 + 0.940231i \(0.610609\pi\)
\(212\) 9.82182 9.18888i 0.674566 0.631095i
\(213\) −0.212879 + 2.71415i −0.0145862 + 0.185970i
\(214\) 0.711653 10.8116i 0.0486476 0.739068i
\(215\) −1.21938 + 1.82494i −0.0831613 + 0.124460i
\(216\) −6.41343 13.2238i −0.436379 0.899763i
\(217\) 5.77557 3.85912i 0.392072 0.261974i
\(218\) 13.0433 + 3.49882i 0.883402 + 0.236970i
\(219\) −8.23712 + 2.67884i −0.556613 + 0.181019i
\(220\) 6.90550 1.84620i 0.465569 0.124471i
\(221\) −2.45898 + 2.99628i −0.165409 + 0.201552i
\(222\) −22.7065 + 10.8301i −1.52396 + 0.726871i
\(223\) −1.74966 1.74966i −0.117166 0.117166i 0.646093 0.763259i \(-0.276402\pi\)
−0.763259 + 0.646093i \(0.776402\pi\)
\(224\) 5.45435 + 0.186155i 0.364434 + 0.0124380i
\(225\) 10.1263 + 9.35060i 0.675084 + 0.623373i
\(226\) −24.7675 9.32968i −1.64751 0.620601i
\(227\) 6.65745 8.11213i 0.441871 0.538421i −0.503683 0.863889i \(-0.668022\pi\)
0.945553 + 0.325468i \(0.105522\pi\)
\(228\) 9.06193 + 1.01511i 0.600141 + 0.0672274i
\(229\) 3.76794 1.14299i 0.248992 0.0755310i −0.163321 0.986573i \(-0.552221\pi\)
0.412314 + 0.911042i \(0.364721\pi\)
\(230\) −1.94039 3.36302i −0.127946 0.221751i
\(231\) −5.36388 7.69172i −0.352917 0.506078i
\(232\) −13.4514 9.00419i −0.883127 0.591154i
\(233\) −0.839504 + 1.25641i −0.0549977 + 0.0823099i −0.857949 0.513734i \(-0.828262\pi\)
0.802952 + 0.596044i \(0.203262\pi\)
\(234\) −3.78014 + 3.58906i −0.247116 + 0.234624i
\(235\) 3.49854 + 0.344576i 0.228220 + 0.0224777i
\(236\) −11.1915 5.07833i −0.728507 0.330571i
\(237\) −14.8914 4.19552i −0.967300 0.272528i
\(238\) 4.19228 0.976272i 0.271745 0.0632823i
\(239\) 9.05462 + 21.8598i 0.585695 + 1.41399i 0.887583 + 0.460649i \(0.152383\pi\)
−0.301888 + 0.953343i \(0.597617\pi\)
\(240\) −1.06175 + 4.28281i −0.0685358 + 0.276454i
\(241\) 8.58809 20.7335i 0.553207 1.33556i −0.361850 0.932236i \(-0.617855\pi\)
0.915057 0.403324i \(-0.132145\pi\)
\(242\) −4.72856 + 28.5910i −0.303963 + 1.83790i
\(243\) −8.67778 12.9498i −0.556680 0.830727i
\(244\) 3.98305 + 24.2088i 0.254989 + 1.54981i
\(245\) 2.45218 + 2.98799i 0.156664 + 0.190896i
\(246\) 7.72248 16.4665i 0.492367 1.04987i
\(247\) −0.630941 3.17195i −0.0401458 0.201827i
\(248\) 12.9322 15.7312i 0.821197 0.998930i
\(249\) −18.8105 3.35394i −1.19207 0.212548i
\(250\) −1.12556 8.56794i −0.0711870 0.541884i
\(251\) −10.5791 + 19.7920i −0.667744 + 1.24926i 0.288720 + 0.957413i \(0.406770\pi\)
−0.956465 + 0.291848i \(0.905730\pi\)
\(252\) 5.75688 0.604941i 0.362649 0.0381077i
\(253\) 24.0743 2.37111i 1.51354 0.149071i
\(254\) 0.211926 + 6.52924i 0.0132974 + 0.409681i
\(255\) 0.0692580 + 3.47950i 0.00433710 + 0.217895i
\(256\) 15.4640 4.10669i 0.966500 0.256668i
\(257\) 16.3553i 1.02021i −0.860111 0.510107i \(-0.829606\pi\)
0.860111 0.510107i \(-0.170394\pi\)
\(258\) 8.42989 0.441696i 0.524822 0.0274988i
\(259\) −0.971195 9.86071i −0.0603471 0.612715i
\(260\) 1.56167 0.101485i 0.0968508 0.00629380i
\(261\) −15.4516 7.48437i −0.956429 0.463271i
\(262\) 14.6390 1.92311i 0.904397 0.118810i
\(263\) 0.766504 3.85348i 0.0472647 0.237616i −0.949930 0.312461i \(-0.898846\pi\)
0.997195 + 0.0748459i \(0.0238465\pi\)
\(264\) −21.5801 17.0322i −1.32816 1.04826i
\(265\) −4.20076 + 0.835583i −0.258051 + 0.0513294i
\(266\) −1.58937 + 3.22066i −0.0974503 + 0.197471i
\(267\) −4.47290 + 3.82229i −0.273737 + 0.233920i
\(268\) −13.5689 + 2.23247i −0.828851 + 0.136370i
\(269\) 13.1231 + 24.5517i 0.800132 + 1.49694i 0.866517 + 0.499147i \(0.166353\pi\)
−0.0663854 + 0.997794i \(0.521147\pi\)
\(270\) −0.486773 + 4.65474i −0.0296240 + 0.283278i
\(271\) 29.7481 + 12.3221i 1.80707 + 0.748511i 0.983404 + 0.181432i \(0.0580732\pi\)
0.823663 + 0.567080i \(0.191927\pi\)
\(272\) 10.9358 6.29758i 0.663082 0.381847i
\(273\) −0.823254 1.88075i −0.0498256 0.113828i
\(274\) −2.29301 9.84656i −0.138526 0.594853i
\(275\) 24.6722 + 7.48424i 1.48779 + 0.451316i
\(276\) −5.89864 + 13.7185i −0.355057 + 0.825757i
\(277\) −0.670897 + 6.81173i −0.0403103 + 0.409277i 0.953763 + 0.300561i \(0.0971740\pi\)
−0.994073 + 0.108716i \(0.965326\pi\)
\(278\) 18.1698 + 20.7304i 1.08975 + 1.24332i
\(279\) 11.2760 18.4229i 0.675078 1.10295i
\(280\) −1.44421 0.966733i −0.0863079 0.0577734i
\(281\) −5.32211 + 3.55612i −0.317491 + 0.212140i −0.704096 0.710105i \(-0.748648\pi\)
0.386605 + 0.922245i \(0.373648\pi\)
\(282\) −6.98881 11.5744i −0.416178 0.689243i
\(283\) 6.02366 + 19.8573i 0.358069 + 1.18040i 0.932295 + 0.361699i \(0.117803\pi\)
−0.574226 + 0.818697i \(0.694697\pi\)
\(284\) −3.11653 0.412064i −0.184932 0.0244515i
\(285\) −2.28084 1.79708i −0.135105 0.106450i
\(286\) −3.43715 + 9.12459i −0.203243 + 0.539548i
\(287\) 5.06526 + 5.06526i 0.298993 + 0.298993i
\(288\) 15.6416 6.58342i 0.921688 0.387932i
\(289\) −4.98282 + 4.98282i −0.293107 + 0.293107i
\(290\) 2.12603 + 4.69571i 0.124845 + 0.275742i
\(291\) −11.7026 + 14.8528i −0.686018 + 0.870687i
\(292\) −2.58327 9.66239i −0.151174 0.565449i
\(293\) 21.5400 6.53408i 1.25838 0.381725i 0.410473 0.911873i \(-0.365364\pi\)
0.847905 + 0.530148i \(0.177864\pi\)
\(294\) 3.56522 14.4327i 0.207928 0.841732i
\(295\) 2.17428 + 3.25404i 0.126591 + 0.189457i
\(296\) −11.0941 26.8469i −0.644832 1.56045i
\(297\) −25.1686 14.7245i −1.46043 0.854402i
\(298\) 21.6308 + 1.42380i 1.25304 + 0.0824787i
\(299\) 5.27075 + 0.519124i 0.304815 + 0.0300217i
\(300\) −11.4034 + 11.1023i −0.658378 + 0.640992i
\(301\) −0.965131 + 3.18161i −0.0556292 + 0.183385i
\(302\) −1.54086 + 2.47637i −0.0886665 + 0.142499i
\(303\) 0.220935 0.0967093i 0.0126924 0.00555580i
\(304\) −1.72673 + 10.3867i −0.0990349 + 0.595718i
\(305\) 2.98981 7.21804i 0.171196 0.413304i
\(306\) 10.5634 8.22030i 0.603868 0.469923i
\(307\) −12.7098 + 6.79352i −0.725385 + 0.387726i −0.792381 0.610027i \(-0.791159\pi\)
0.0669957 + 0.997753i \(0.478659\pi\)
\(308\) 9.19832 5.71279i 0.524123 0.325516i
\(309\) 2.03573 + 2.38224i 0.115809 + 0.135521i
\(310\) −6.14133 + 2.08279i −0.348804 + 0.118295i
\(311\) 3.97705 + 19.9940i 0.225518 + 1.13375i 0.913128 + 0.407674i \(0.133660\pi\)
−0.687610 + 0.726080i \(0.741340\pi\)
\(312\) −3.90640 4.57907i −0.221156 0.259239i
\(313\) −21.4550 4.26767i −1.21271 0.241223i −0.453014 0.891503i \(-0.649651\pi\)
−0.759694 + 0.650280i \(0.774651\pi\)
\(314\) −5.49990 + 7.16348i −0.310377 + 0.404259i
\(315\) −1.65896 0.803558i −0.0934717 0.0452754i
\(316\) 5.75178 16.9133i 0.323563 0.951445i
\(317\) −20.6466 + 2.03351i −1.15963 + 0.114214i −0.659478 0.751724i \(-0.729222\pi\)
−0.500152 + 0.865938i \(0.666722\pi\)
\(318\) 12.2416 + 11.0226i 0.686475 + 0.618119i
\(319\) −32.1155 −1.79812
\(320\) −4.87320 1.48716i −0.272420 0.0831347i
\(321\) 13.2675 0.264084i 0.740520 0.0147398i
\(322\) −4.29159 4.02175i −0.239161 0.224123i
\(323\) 0.813995 + 8.26463i 0.0452919 + 0.459856i
\(324\) 15.4646 9.21119i 0.859145 0.511733i
\(325\) 4.97819 + 2.66090i 0.276141 + 0.147600i
\(326\) −5.78369 + 7.53312i −0.320329 + 0.417221i
\(327\) −2.90322 + 16.2826i −0.160549 + 0.900432i
\(328\) 18.5130 + 9.91529i 1.02221 + 0.547480i
\(329\) 5.22298 1.03891i 0.287952 0.0572772i
\(330\) 2.97617 + 8.23310i 0.163833 + 0.453217i
\(331\) 16.5508 13.5829i 0.909713 0.746583i −0.0580843 0.998312i \(-0.518499\pi\)
0.967798 + 0.251729i \(0.0809992\pi\)
\(332\) 5.02195 21.4839i 0.275615 1.17908i
\(333\) −15.5940 26.5734i −0.854545 1.45621i
\(334\) 5.38051 3.85335i 0.294408 0.210846i
\(335\) 4.04566 + 1.67577i 0.221038 + 0.0915569i
\(336\) 0.344169 + 6.67521i 0.0187759 + 0.364162i
\(337\) 4.19766 1.73873i 0.228661 0.0947145i −0.265411 0.964135i \(-0.585508\pi\)
0.494072 + 0.869421i \(0.335508\pi\)
\(338\) 8.58496 13.7972i 0.466960 0.750467i
\(339\) 8.79030 31.1999i 0.477423 1.69455i
\(340\) −4.01635 0.133720i −0.217817 0.00725196i
\(341\) 3.96029 40.2095i 0.214462 2.17747i
\(342\) −0.289488 + 11.1642i −0.0156537 + 0.603691i
\(343\) 10.4838 + 7.00502i 0.566070 + 0.378236i
\(344\) −0.00813822 + 9.74734i −0.000438783 + 0.525542i
\(345\) 3.90049 2.72004i 0.209996 0.146442i
\(346\) 18.4264 + 4.94282i 0.990607 + 0.265728i
\(347\) 0.145681 + 0.480246i 0.00782056 + 0.0257809i 0.960764 0.277368i \(-0.0894621\pi\)
−0.952943 + 0.303149i \(0.901962\pi\)
\(348\) 9.57844 17.3573i 0.513458 0.930450i
\(349\) 16.2006 + 13.2955i 0.867201 + 0.711693i 0.958794 0.284103i \(-0.0916959\pi\)
−0.0915930 + 0.995797i \(0.529196\pi\)
\(350\) −2.58546 5.71045i −0.138199 0.305237i
\(351\) −4.77553 4.23680i −0.254899 0.226144i
\(352\) 20.9639 23.8378i 1.11738 1.27056i
\(353\) 9.17486 9.17486i 0.488329 0.488329i −0.419450 0.907778i \(-0.637777\pi\)
0.907778 + 0.419450i \(0.137777\pi\)
\(354\) 5.02459 14.1885i 0.267054 0.754110i
\(355\) 0.773838 + 0.635073i 0.0410711 + 0.0337062i
\(356\) −4.13280 5.39218i −0.219038 0.285785i
\(357\) 1.63043 + 5.01339i 0.0862915 + 0.265337i
\(358\) −7.70666 13.3569i −0.407310 0.705935i
\(359\) −14.3139 21.4222i −0.755458 1.13062i −0.987454 0.157906i \(-0.949526\pi\)
0.231997 0.972717i \(-0.425474\pi\)
\(360\) −5.33735 0.846999i −0.281303 0.0446408i
\(361\) 10.0366 + 6.70624i 0.528242 + 0.352960i
\(362\) −3.51958 4.01557i −0.184985 0.211053i
\(363\) −35.3836 2.77525i −1.85716 0.145663i
\(364\) 2.21916 0.833823i 0.116316 0.0437042i
\(365\) −0.924550 + 3.04783i −0.0483932 + 0.159531i
\(366\) −29.1238 + 7.39615i −1.52233 + 0.386603i
\(367\) −3.79837 + 1.57334i −0.198273 + 0.0821275i −0.479611 0.877481i \(-0.659222\pi\)
0.281337 + 0.959609i \(0.409222\pi\)
\(368\) −15.4563 7.64361i −0.805716 0.398451i
\(369\) 20.9023 + 7.69859i 1.08813 + 0.400773i
\(370\) −1.50938 + 9.12639i −0.0784691 + 0.474459i
\(371\) −5.72195 + 3.05845i −0.297069 + 0.158787i
\(372\) 20.5507 + 14.1329i 1.06550 + 0.732754i
\(373\) −27.5878 + 22.6407i −1.42844 + 1.17229i −0.471552 + 0.881838i \(0.656306\pi\)
−0.956889 + 0.290454i \(0.906194\pi\)
\(374\) 11.0801 22.4525i 0.572939 1.16099i
\(375\) 10.3372 2.27094i 0.533810 0.117271i
\(376\) 13.7750 7.34812i 0.710392 0.378950i
\(377\) −6.89617 1.37173i −0.355171 0.0706478i
\(378\) 1.34120 + 6.96151i 0.0689838 + 0.358061i
\(379\) 16.3661 + 8.74787i 0.840671 + 0.449348i 0.834747 0.550634i \(-0.185614\pi\)
0.00592460 + 0.999982i \(0.498114\pi\)
\(380\) 2.21216 2.51965i 0.113481 0.129256i
\(381\) −7.94516 + 0.942522i −0.407043 + 0.0482869i
\(382\) −1.01946 31.4085i −0.0521600 1.60700i
\(383\) 38.6954 1.97724 0.988622 0.150423i \(-0.0480635\pi\)
0.988622 + 0.150423i \(0.0480635\pi\)
\(384\) 6.63102 + 18.4399i 0.338388 + 0.941007i
\(385\) −3.44808 −0.175730
\(386\) −0.385248 11.8691i −0.0196086 0.604122i
\(387\) 1.42199 + 10.2404i 0.0722837 + 0.520547i
\(388\) −16.4080 14.4056i −0.832989 0.731332i
\(389\) −22.5168 12.0355i −1.14165 0.610222i −0.211487 0.977381i \(-0.567831\pi\)
−0.930158 + 0.367159i \(0.880331\pi\)
\(390\) 0.287418 + 1.89501i 0.0145540 + 0.0959577i
\(391\) −13.3386 2.65321i −0.674561 0.134179i
\(392\) 16.4230 + 4.99685i 0.829489 + 0.252379i
\(393\) 3.88007 + 17.6618i 0.195724 + 0.890922i
\(394\) −16.5713 + 33.5798i −0.834851 + 1.69172i
\(395\) −4.39751 + 3.60894i −0.221263 + 0.181586i
\(396\) 18.5233 28.1173i 0.930829 1.41295i
\(397\) −22.0916 + 11.8082i −1.10875 + 0.592637i −0.920993 0.389579i \(-0.872620\pi\)
−0.187753 + 0.982216i \(0.560120\pi\)
\(398\) −1.45285 + 8.78456i −0.0728247 + 0.440330i
\(399\) −4.09651 1.60208i −0.205082 0.0802045i
\(400\) −12.1018 13.8304i −0.605088 0.691522i
\(401\) −13.1230 + 5.43574i −0.655333 + 0.271448i −0.685473 0.728098i \(-0.740405\pi\)
0.0301401 + 0.999546i \(0.490405\pi\)
\(402\) −4.14549 16.3237i −0.206758 0.814151i
\(403\) 2.56784 8.46503i 0.127913 0.421673i
\(404\) 0.0979509 + 0.260689i 0.00487324 + 0.0129698i
\(405\) −5.73096 0.106419i −0.284774 0.00528798i
\(406\) 5.14671 + 5.87199i 0.255427 + 0.291422i
\(407\) −47.9211 32.0199i −2.37536 1.58717i
\(408\) 8.83016 + 12.6849i 0.437158 + 0.627994i
\(409\) −9.63781 14.4240i −0.476559 0.713221i 0.512834 0.858488i \(-0.328596\pi\)
−0.989392 + 0.145267i \(0.953596\pi\)
\(410\) −3.34219 5.79257i −0.165059 0.286075i
\(411\) 11.7752 3.82946i 0.580825 0.188893i
\(412\) −2.87185 + 2.20111i −0.141486 + 0.108441i
\(413\) 4.58270 + 3.76093i 0.225500 + 0.185063i
\(414\) −17.3580 5.76089i −0.853098 0.283132i
\(415\) −4.96799 + 4.96799i −0.243869 + 0.243869i
\(416\) 5.51976 4.22327i 0.270628 0.207063i
\(417\) −23.3931 + 24.3433i −1.14557 + 1.19210i
\(418\) 8.61637 + 19.0308i 0.421440 + 0.930828i
\(419\) 19.0636 + 15.6451i 0.931318 + 0.764313i 0.972030 0.234858i \(-0.0754625\pi\)
−0.0407118 + 0.999171i \(0.512963\pi\)
\(420\) 1.02839 1.86357i 0.0501802 0.0909327i
\(421\) −0.934304 3.07999i −0.0455352 0.150109i 0.931225 0.364445i \(-0.118741\pi\)
−0.976760 + 0.214336i \(0.931241\pi\)
\(422\) 2.10072 + 0.563513i 0.102262 + 0.0274314i
\(423\) 13.3916 9.74053i 0.651124 0.473601i
\(424\) −13.4613 + 13.4388i −0.653737 + 0.652646i
\(425\) −12.0519 8.05282i −0.584603 0.390619i
\(426\) 0.176377 3.84613i 0.00854550 0.186346i
\(427\) 1.16002 11.7779i 0.0561374 0.569973i
\(428\) −0.509880 + 15.3146i −0.0246460 + 0.740257i
\(429\) −11.4944 3.23844i −0.554954 0.156353i
\(430\) 1.63984 2.63544i 0.0790799 0.127092i
\(431\) 30.8351 12.7723i 1.48527 0.615221i 0.514991 0.857195i \(-0.327795\pi\)
0.970283 + 0.241975i \(0.0777951\pi\)
\(432\) 9.67187 + 18.3971i 0.465338 + 0.885133i
\(433\) 18.0544 + 7.47837i 0.867638 + 0.359387i 0.771690 0.635999i \(-0.219412\pi\)
0.0959480 + 0.995386i \(0.469412\pi\)
\(434\) −7.98655 + 5.71971i −0.383366 + 0.274555i
\(435\) −5.50729 + 3.08616i −0.264054 + 0.147970i
\(436\) −18.5968 4.34708i −0.890624 0.208187i
\(437\) 8.77156 7.19863i 0.419601 0.344357i
\(438\) 11.5200 4.16436i 0.550448 0.198981i
\(439\) −36.1123 + 7.18317i −1.72354 + 0.342834i −0.954919 0.296866i \(-0.904059\pi\)
−0.768625 + 0.639700i \(0.779059\pi\)
\(440\) −9.67601 + 2.92636i −0.461286 + 0.139509i
\(441\) 17.9850 + 2.83871i 0.856431 + 0.135177i
\(442\) 3.33823 4.34797i 0.158784 0.206812i
\(443\) −24.9268 13.3236i −1.18431 0.633025i −0.242819 0.970072i \(-0.578072\pi\)
−0.941488 + 0.337047i \(0.890572\pi\)
\(444\) 31.5981 16.3498i 1.49958 0.775927i
\(445\) 0.212053 + 2.15301i 0.0100523 + 0.102062i
\(446\) 2.55337 + 2.39282i 0.120905 + 0.113303i
\(447\) 0.528353 + 26.5443i 0.0249902 + 1.25550i
\(448\) −7.71809 0.0128879i −0.364646 0.000608898i
\(449\) −26.1889 −1.23593 −0.617965 0.786206i \(-0.712043\pi\)
−0.617965 + 0.786206i \(0.712043\pi\)
\(450\) −14.7422 12.7522i −0.694952 0.601145i
\(451\) 41.4664 4.08408i 1.95258 0.192312i
\(452\) 35.4361 + 12.0509i 1.66677 + 0.566828i
\(453\) −3.18321 1.62085i −0.149560 0.0761544i
\(454\) −9.03793 + 11.7717i −0.424171 + 0.552472i
\(455\) −0.740406 0.147276i −0.0347107 0.00690440i
\(456\) −12.8553 1.01908i −0.602006 0.0477229i
\(457\) 6.82729 + 34.3231i 0.319367 + 1.60557i 0.723136 + 0.690706i \(0.242700\pi\)
−0.403769 + 0.914861i \(0.632300\pi\)
\(458\) −5.27343 + 1.78845i −0.246411 + 0.0835688i
\(459\) 11.1374 + 12.0290i 0.519847 + 0.561465i
\(460\) 2.89697 + 4.66450i 0.135072 + 0.217483i
\(461\) −16.9251 + 9.04665i −0.788280 + 0.421344i −0.815841 0.578276i \(-0.803726\pi\)
0.0275616 + 0.999620i \(0.491226\pi\)
\(462\) 7.93456 + 10.6259i 0.369149 + 0.494363i
\(463\) −2.85676 + 6.89683i −0.132765 + 0.320523i −0.976256 0.216621i \(-0.930497\pi\)
0.843491 + 0.537143i \(0.180497\pi\)
\(464\) 19.4262 + 12.1100i 0.901840 + 0.562193i
\(465\) −3.18483 7.27583i −0.147693 0.337409i
\(466\) 1.12897 1.81441i 0.0522986 0.0840508i
\(467\) −9.35947 + 30.8540i −0.433104 + 1.42775i 0.420719 + 0.907191i \(0.361778\pi\)
−0.853823 + 0.520563i \(0.825722\pi\)
\(468\) 5.17846 5.24645i 0.239374 0.242517i
\(469\) 6.60143 + 0.650184i 0.304826 + 0.0300227i
\(470\) −4.96089 0.326541i −0.228829 0.0150622i
\(471\) −9.31739 5.96094i −0.429322 0.274666i
\(472\) 16.0519 + 6.66461i 0.738848 + 0.306764i
\(473\) 10.7443 + 16.0799i 0.494022 + 0.739356i
\(474\) 21.2410 + 5.24704i 0.975632 + 0.241004i
\(475\) 11.5731 3.51066i 0.531010 0.161080i
\(476\) −5.88086 + 1.57226i −0.269549 + 0.0720646i
\(477\) −12.1682 + 16.0925i −0.557143 + 0.736825i
\(478\) −13.8013 30.4827i −0.631258 1.39425i
\(479\) 20.8572 20.8572i 0.952988 0.952988i −0.0459551 0.998944i \(-0.514633\pi\)
0.998944 + 0.0459551i \(0.0146331\pi\)
\(480\) 1.30426 6.10233i 0.0595313 0.278532i
\(481\) −8.92245 8.92245i −0.406829 0.406829i
\(482\) −11.1878 + 29.7001i −0.509589 + 1.35280i
\(483\) 4.45804 5.65811i 0.202848 0.257453i
\(484\) 5.37197 40.6294i 0.244180 1.84679i
\(485\) 2.01835 + 6.65360i 0.0916484 + 0.302124i
\(486\) 12.8599 + 17.9060i 0.583336 + 0.812231i
\(487\) −18.2386 + 12.1866i −0.826468 + 0.552228i −0.895333 0.445398i \(-0.853062\pi\)
0.0688649 + 0.997626i \(0.478062\pi\)
\(488\) −6.74059 34.0357i −0.305132 1.54072i
\(489\) −9.79816 6.26853i −0.443088 0.283473i
\(490\) −3.60316 4.11093i −0.162774 0.185713i
\(491\) 1.28871 13.0845i 0.0581588 0.590496i −0.921300 0.388852i \(-0.872872\pi\)
0.979459 0.201644i \(-0.0646283\pi\)
\(492\) −10.1600 + 23.6292i −0.458049 + 1.06529i
\(493\) 17.2777 + 5.24113i 0.778148 + 0.236048i
\(494\) 1.03734 + 4.45451i 0.0466721 + 0.200418i
\(495\) −9.73476 + 4.49409i −0.437545 + 0.201994i
\(496\) −17.5576 + 22.8288i −0.788359 + 1.02504i
\(497\) 1.40101 + 0.580317i 0.0628438 + 0.0260308i
\(498\) 26.7419 + 3.87770i 1.19833 + 0.173764i
\(499\) 16.6747 + 31.1962i 0.746463 + 1.39653i 0.911942 + 0.410320i \(0.134583\pi\)
−0.165479 + 0.986213i \(0.552917\pi\)
\(500\) 1.98403 + 12.0589i 0.0887287 + 0.539289i
\(501\) 5.26567 + 6.16198i 0.235253 + 0.275297i
\(502\) 14.0451 28.4608i 0.626866 1.27027i
\(503\) 0.397625 0.0790925i 0.0177292 0.00352656i −0.186218 0.982508i \(-0.559623\pi\)
0.203947 + 0.978982i \(0.434623\pi\)
\(504\) −8.10942 + 1.11918i −0.361222 + 0.0498523i
\(505\) 0.0173008 0.0869769i 0.000769875 0.00387042i
\(506\) −33.9195 + 4.45599i −1.50791 + 0.198093i
\(507\) 17.7354 + 9.03065i 0.787655 + 0.401065i
\(508\) −0.599102 9.21916i −0.0265809 0.409034i
\(509\) 0.918877 + 9.32952i 0.0407285 + 0.413524i 0.993833 + 0.110883i \(0.0353680\pi\)
−0.953105 + 0.302640i \(0.902132\pi\)
\(510\) −0.257528 4.91499i −0.0114035 0.217639i
\(511\) 4.82466i 0.213430i
\(512\) −21.6695 + 6.51414i −0.957664 + 0.287887i
\(513\) −13.6535 + 0.816167i −0.602818 + 0.0360346i
\(514\) 0.750353 + 23.1177i 0.0330967 + 1.01968i
\(515\) 1.14668 0.112938i 0.0505288 0.00497665i
\(516\) −11.8951 + 1.01107i −0.523654 + 0.0445100i
\(517\) 14.6018 27.3181i 0.642187 1.20145i
\(518\) 1.82515 + 13.8933i 0.0801924 + 0.610435i
\(519\) −4.10141 + 23.0026i −0.180032 + 1.00970i
\(520\) −2.20272 + 0.215092i −0.0965957 + 0.00943242i
\(521\) 2.05735 + 10.3430i 0.0901340 + 0.453134i 0.999324 + 0.0367536i \(0.0117017\pi\)
−0.909190 + 0.416381i \(0.863298\pi\)
\(522\) 22.1837 + 9.87003i 0.970955 + 0.432000i
\(523\) −0.470286 0.573045i −0.0205642 0.0250575i 0.762627 0.646839i \(-0.223909\pi\)
−0.783191 + 0.621781i \(0.786409\pi\)
\(524\) −20.6035 + 3.38987i −0.900067 + 0.148087i
\(525\) 6.69740 3.75308i 0.292299 0.163798i
\(526\) −0.906639 + 5.48194i −0.0395313 + 0.239024i
\(527\) −8.69260 + 20.9858i −0.378656 + 0.914156i
\(528\) 31.2842 + 23.0845i 1.36147 + 1.00462i
\(529\) −1.69046 4.08112i −0.0734980 0.177440i
\(530\) 5.89931 1.37379i 0.256250 0.0596738i
\(531\) 17.8399 + 4.64509i 0.774187 + 0.201580i
\(532\) 2.09876 4.62522i 0.0909929 0.200529i
\(533\) 9.07852 + 0.894156i 0.393234 + 0.0387302i
\(534\) 6.14695 5.60789i 0.266005 0.242677i
\(535\) 2.71090 4.05715i 0.117202 0.175406i
\(536\) 19.0768 3.77805i 0.823990 0.163187i
\(537\) 15.4916 10.8032i 0.668513 0.466193i
\(538\) −19.6755 34.1009i −0.848273 1.47020i
\(539\) 32.5923 9.88677i 1.40385 0.425853i
\(540\) 0.474486 6.60166i 0.0204186 0.284090i
\(541\) −13.7465 + 16.7501i −0.591008 + 0.720145i −0.979531 0.201294i \(-0.935485\pi\)
0.388523 + 0.921439i \(0.372985\pi\)
\(542\) −42.6133 16.0520i −1.83040 0.689495i
\(543\) 4.53136 4.71541i 0.194459 0.202358i
\(544\) −15.1685 + 9.40315i −0.650345 + 0.403157i
\(545\) 4.30036 + 4.30036i 0.184207 + 0.184207i
\(546\) 1.24993 + 2.62061i 0.0534920 + 0.112152i
\(547\) 24.5581 29.9242i 1.05003 1.27947i 0.0910943 0.995842i \(-0.470964\pi\)
0.958936 0.283623i \(-0.0915365\pi\)
\(548\) 3.69284 + 13.8126i 0.157750 + 0.590046i
\(549\) −12.0758 34.7638i −0.515384 1.48368i
\(550\) −35.2168 9.44682i −1.50165 0.402814i
\(551\) −12.5257 + 8.36942i −0.533614 + 0.356549i
\(552\) 7.70817 19.6613i 0.328081 0.836841i
\(553\) −4.78764 + 7.16520i −0.203591 + 0.304695i
\(554\) 0.635781 9.65895i 0.0270117 0.410370i
\(555\) −11.2947 0.885874i −0.479431 0.0376033i
\(556\) −26.6336 28.4681i −1.12952 1.20732i
\(557\) −37.4702 11.3665i −1.58767 0.481613i −0.631729 0.775189i \(-0.717655\pi\)
−0.955936 + 0.293576i \(0.905155\pi\)
\(558\) −15.0931 + 26.5575i −0.638942 + 1.12427i
\(559\) 1.62030 + 3.91176i 0.0685315 + 0.165450i
\(560\) 2.08569 + 1.30019i 0.0881367 + 0.0549430i
\(561\) 28.5584 + 11.1688i 1.20574 + 0.471546i
\(562\) 7.35949 5.27064i 0.310441 0.222328i
\(563\) −8.99994 16.8377i −0.379302 0.709625i 0.617748 0.786376i \(-0.288045\pi\)
−0.997050 + 0.0767515i \(0.975545\pi\)
\(564\) 10.4095 + 16.0394i 0.438318 + 0.675379i
\(565\) −7.56133 9.21351i −0.318108 0.387615i
\(566\) −9.42527 27.7914i −0.396174 1.16816i
\(567\) −8.35435 + 2.36581i −0.350850 + 0.0993545i
\(568\) 4.42403 + 0.439458i 0.185628 + 0.0184393i
\(569\) −2.86706 + 14.4137i −0.120193 + 0.604253i 0.872995 + 0.487730i \(0.162175\pi\)
−0.993188 + 0.116523i \(0.962825\pi\)
\(570\) 3.30634 + 2.43548i 0.138487 + 0.102011i
\(571\) 2.15113 4.02447i 0.0900218 0.168419i −0.832881 0.553452i \(-0.813310\pi\)
0.922903 + 0.385033i \(0.125810\pi\)
\(572\) 4.43969 13.0550i 0.185633 0.545858i
\(573\) 38.2197 4.53395i 1.59665 0.189408i
\(574\) −7.39197 6.92720i −0.308535 0.289136i
\(575\) 19.8053i 0.825936i
\(576\) −21.8068 + 10.0231i −0.908618 + 0.417628i
\(577\) 9.68390i 0.403146i −0.979473 0.201573i \(-0.935395\pi\)
0.979473 0.201573i \(-0.0646053\pi\)
\(578\) 6.81446 7.27166i 0.283444 0.302461i
\(579\) 14.4430 1.71335i 0.600231 0.0712046i
\(580\) −3.22050 6.53971i −0.133724 0.271547i
\(581\) −5.01698 + 9.38611i −0.208139 + 0.389402i
\(582\) 15.8598 21.5309i 0.657411 0.892484i
\(583\) −7.36251 + 37.0139i −0.304924 + 1.53296i
\(584\) 4.09466 + 13.5390i 0.169438 + 0.560247i
\(585\) −2.28230 + 0.549220i −0.0943614 + 0.0227075i
\(586\) −30.1463 + 10.2239i −1.24533 + 0.422347i
\(587\) −17.1312 20.8744i −0.707081 0.861581i 0.288304 0.957539i \(-0.406908\pi\)
−0.995385 + 0.0959582i \(0.969408\pi\)
\(588\) −4.37718 + 20.5637i −0.180512 + 0.848034i
\(589\) −8.93414 16.7146i −0.368125 0.688713i
\(590\) −3.22256 4.49973i −0.132671 0.185251i
\(591\) −42.7117 16.7039i −1.75693 0.687107i
\(592\) 16.9129 + 37.4383i 0.695115 + 1.53870i
\(593\) −11.3097 27.3041i −0.464435 1.12124i −0.966558 0.256449i \(-0.917448\pi\)
0.502123 0.864796i \(-0.332552\pi\)
\(594\) 36.2506 + 19.6579i 1.48738 + 0.806575i
\(595\) 1.85501 + 0.562713i 0.0760482 + 0.0230690i
\(596\) −30.6398 1.02012i −1.25506 0.0417856i
\(597\) −10.8716 0.852693i −0.444945 0.0348984i
\(598\) −7.47386 0.491952i −0.305629 0.0201174i
\(599\) 8.23359 12.3224i 0.336415 0.503481i −0.624237 0.781235i \(-0.714590\pi\)
0.960652 + 0.277754i \(0.0895900\pi\)
\(600\) 15.6091 16.2159i 0.637237 0.662013i
\(601\) 21.7697 14.5461i 0.888005 0.593346i −0.0257246 0.999669i \(-0.508189\pi\)
0.913729 + 0.406323i \(0.133189\pi\)
\(602\) 1.21822 4.54139i 0.0496508 0.185093i
\(603\) 19.4849 6.76842i 0.793484 0.275631i
\(604\) 2.06435 3.57096i 0.0839971 0.145300i
\(605\) −8.27927 + 10.0883i −0.336600 + 0.410148i
\(606\) −0.307848 + 0.146832i −0.0125055 + 0.00596463i
\(607\) −22.8191 22.8191i −0.926199 0.926199i 0.0712592 0.997458i \(-0.477298\pi\)
−0.997458 + 0.0712592i \(0.977298\pi\)
\(608\) 1.96416 14.7605i 0.0796571 0.598618i
\(609\) −6.62624 + 6.89538i −0.268509 + 0.279415i
\(610\) −3.89485 + 10.3396i −0.157698 + 0.418640i
\(611\) 4.30227 5.24233i 0.174051 0.212082i
\(612\) −14.5539 + 12.1038i −0.588305 + 0.489266i
\(613\) 33.8980 10.2828i 1.36913 0.415320i 0.481727 0.876321i \(-0.340010\pi\)
0.887400 + 0.461001i \(0.152510\pi\)
\(614\) 17.6532 10.1855i 0.712425 0.411054i
\(615\) 6.71834 4.68509i 0.270910 0.188921i
\(616\) −12.7394 + 8.49685i −0.513287 + 0.342348i
\(617\) −8.00832 + 11.9853i −0.322403 + 0.482510i −0.956901 0.290415i \(-0.906207\pi\)
0.634498 + 0.772924i \(0.281207\pi\)
\(618\) −2.98673 3.27383i −0.120144 0.131693i
\(619\) 27.1082 + 2.66993i 1.08957 + 0.107313i 0.626812 0.779171i \(-0.284359\pi\)
0.462759 + 0.886484i \(0.346859\pi\)
\(620\) 8.58502 3.22572i 0.344783 0.129548i
\(621\) 5.21158 21.7846i 0.209133 0.874187i
\(622\) −6.53873 28.0784i −0.262179 1.12584i
\(623\) 1.25413 + 3.02774i 0.0502457 + 0.121304i
\(624\) 5.73165 + 6.29315i 0.229450 + 0.251928i
\(625\) −7.30168 + 17.6278i −0.292067 + 0.705113i
\(626\) 30.5218 + 5.04789i 1.21990 + 0.201754i
\(627\) −22.3200 + 12.5076i −0.891373 + 0.499506i
\(628\) 7.44529 10.3777i 0.297099 0.414115i
\(629\) 20.5553 + 25.0467i 0.819595 + 0.998679i
\(630\) 2.38175 + 1.05969i 0.0948912 + 0.0422192i
\(631\) −3.11314 15.6508i −0.123932 0.623048i −0.991962 0.126536i \(-0.959614\pi\)
0.868030 0.496512i \(-0.165386\pi\)
\(632\) −7.35401 + 24.1703i −0.292527 + 0.961441i
\(633\) −0.467587 + 2.62245i −0.0185849 + 0.104233i
\(634\) 29.0901 3.82154i 1.15531 0.151773i
\(635\) −1.38683 + 2.59457i −0.0550346 + 0.102963i
\(636\) −17.8088 15.0185i −0.706166 0.595524i
\(637\) 7.42083 0.730888i 0.294024 0.0289588i
\(638\) 45.3943 1.47341i 1.79718 0.0583328i
\(639\) 4.71175 0.187645i 0.186394 0.00742313i
\(640\) 6.95635 + 1.87848i 0.274974 + 0.0742534i
\(641\) 23.2576i 0.918618i 0.888276 + 0.459309i \(0.151903\pi\)
−0.888276 + 0.459309i \(0.848097\pi\)
\(642\) −18.7411 + 0.981967i −0.739652 + 0.0387552i
\(643\) −2.29840 23.3360i −0.0906399 0.920282i −0.927739 0.373230i \(-0.878250\pi\)
0.837099 0.547052i \(-0.184250\pi\)
\(644\) 6.25054 + 5.48773i 0.246306 + 0.216247i
\(645\) 3.38768 + 1.72497i 0.133390 + 0.0679206i
\(646\) −1.52973 11.6445i −0.0601862 0.458145i
\(647\) −7.10790 + 35.7338i −0.279441 + 1.40484i 0.544783 + 0.838577i \(0.316612\pi\)
−0.824223 + 0.566265i \(0.808388\pi\)
\(648\) −21.4362 + 13.7292i −0.842092 + 0.539335i
\(649\) 33.8210 6.72741i 1.32759 0.264074i
\(650\) −7.15860 3.53271i −0.280784 0.138564i
\(651\) −7.81609 9.14652i −0.306337 0.358480i
\(652\) 7.82947 10.9132i 0.306626 0.427393i
\(653\) 16.4310 + 30.7401i 0.642993 + 1.20295i 0.966485 + 0.256724i \(0.0826431\pi\)
−0.323492 + 0.946231i \(0.604857\pi\)
\(654\) 3.35660 23.1482i 0.131253 0.905166i
\(655\) 6.14308 + 2.54455i 0.240030 + 0.0994236i
\(656\) −26.6225 13.1656i −1.03943 0.514031i
\(657\) 6.28827 + 13.6212i 0.245329 + 0.531413i
\(658\) −7.33485 + 1.70810i −0.285942 + 0.0665885i
\(659\) −35.8931 10.8881i −1.39820 0.424139i −0.500878 0.865518i \(-0.666989\pi\)
−0.897321 + 0.441379i \(0.854489\pi\)
\(660\) −4.58445 11.5007i −0.178449 0.447664i
\(661\) −1.45387 + 14.7614i −0.0565489 + 0.574150i 0.924606 + 0.380926i \(0.124395\pi\)
−0.981155 + 0.193225i \(0.938105\pi\)
\(662\) −22.7709 + 19.9583i −0.885015 + 0.775702i
\(663\) 5.65531 + 3.61807i 0.219634 + 0.140514i
\(664\) −6.11273 + 30.5972i −0.237220 + 1.18740i
\(665\) −1.34482 + 0.898581i −0.0521499 + 0.0348455i
\(666\) 23.2608 + 36.8452i 0.901336 + 1.42772i
\(667\) −7.16137 23.6079i −0.277289 0.914101i
\(668\) −7.42840 + 5.69345i −0.287413 + 0.220286i
\(669\) −2.65240 + 3.36640i −0.102548 + 0.130153i
\(670\) −5.79529 2.18303i −0.223892 0.0843380i
\(671\) −48.6772 48.6772i −1.87916 1.87916i
\(672\) −0.792720 9.41941i −0.0305798 0.363362i
\(673\) 8.90900 8.90900i 0.343417 0.343417i −0.514234 0.857650i \(-0.671924\pi\)
0.857650 + 0.514234i \(0.171924\pi\)
\(674\) −5.85349 + 2.65022i −0.225468 + 0.102083i
\(675\) 14.0168 19.3250i 0.539506 0.743819i
\(676\) −11.5016 + 19.8957i −0.442369 + 0.765221i
\(677\) 19.0186 5.76923i 0.730944 0.221730i 0.0971921 0.995266i \(-0.469014\pi\)
0.633752 + 0.773536i \(0.281514\pi\)
\(678\) −10.9934 + 44.5034i −0.422199 + 1.70914i
\(679\) 5.85155 + 8.75747i 0.224562 + 0.336081i
\(680\) 5.68312 + 0.00474493i 0.217938 + 0.000181960i
\(681\) −15.3112 9.79555i −0.586725 0.375366i
\(682\) −3.75300 + 57.0166i −0.143710 + 2.18328i
\(683\) −0.668285 0.0658203i −0.0255712 0.00251854i 0.0852234 0.996362i \(-0.472840\pi\)
−0.110795 + 0.993843i \(0.535340\pi\)
\(684\) −0.103013 15.7936i −0.00393881 0.603882i
\(685\) 1.32166 4.35695i 0.0504982 0.166470i
\(686\) −15.1399 9.42041i −0.578042 0.359673i
\(687\) −2.73475 6.24760i −0.104337 0.238361i
\(688\) −0.435689 13.7779i −0.0166105 0.525279i
\(689\) −3.16190 + 7.63351i −0.120459 + 0.290814i
\(690\) −5.38844 + 4.02364i −0.205134 + 0.153177i
\(691\) −10.2600 + 5.48408i −0.390308 + 0.208624i −0.654865 0.755746i \(-0.727274\pi\)
0.264556 + 0.964370i \(0.414774\pi\)
\(692\) −26.2719 6.14116i −0.998706 0.233452i
\(693\) −12.1352 + 10.7952i −0.460979 + 0.410077i
\(694\) −0.227948 0.672129i −0.00865281 0.0255137i
\(695\) 2.42190 + 12.1757i 0.0918679 + 0.461851i
\(696\) −12.7425 + 24.9735i −0.483003 + 0.946618i
\(697\) −22.9748 4.56998i −0.870233 0.173100i
\(698\) −23.5091 18.0496i −0.889832 0.683186i
\(699\) 2.33230 + 1.18758i 0.0882157 + 0.0449185i
\(700\) 3.91645 + 7.95293i 0.148028 + 0.300593i
\(701\) 28.8321 2.83971i 1.08897 0.107254i 0.462440 0.886650i \(-0.346974\pi\)
0.626532 + 0.779396i \(0.284474\pi\)
\(702\) 6.94445 + 5.76950i 0.262101 + 0.217756i
\(703\) −27.0347 −1.01963
\(704\) −28.5382 + 34.6558i −1.07558 + 1.30614i
\(705\) −0.121175 6.08777i −0.00456370 0.229279i
\(706\) −12.5475 + 13.3893i −0.472230 + 0.503913i
\(707\) −0.0131672 0.133689i −0.000495203 0.00502788i
\(708\) −6.45116 + 20.2855i −0.242449 + 0.762377i
\(709\) 25.8182 + 13.8001i 0.969625 + 0.518275i 0.878592 0.477573i \(-0.158483\pi\)
0.0910324 + 0.995848i \(0.470983\pi\)
\(710\) −1.12293 0.862153i −0.0421429 0.0323560i
\(711\) −4.17781 + 26.4691i −0.156680 + 0.992669i
\(712\) 6.08897 + 7.43208i 0.228194 + 0.278529i
\(713\) 30.4408 6.05505i 1.14002 0.226763i
\(714\) −2.53457 7.01148i −0.0948539 0.262398i
\(715\) −3.39435 + 2.78567i −0.126942 + 0.104178i
\(716\) 11.5059 + 18.5260i 0.429997 + 0.692350i
\(717\) 35.7511 20.0341i 1.33515 0.748188i
\(718\) 21.2150 + 29.6230i 0.791738 + 1.10552i
\(719\) 0.426223 + 0.176547i 0.0158954 + 0.00658410i 0.390617 0.920553i \(-0.372262\pi\)
−0.374722 + 0.927137i \(0.622262\pi\)
\(720\) 7.58303 + 0.952338i 0.282603 + 0.0354915i
\(721\) 1.61256 0.667943i 0.0600547 0.0248755i
\(722\) −14.4941 9.01861i −0.539415 0.335638i
\(723\) −37.4137 10.5410i −1.39143 0.392023i
\(724\) 5.15905 + 5.51441i 0.191734 + 0.204941i
\(725\) 2.57720 26.1667i 0.0957146 0.971807i
\(726\) 50.1410 + 2.29938i 1.86091 + 0.0853380i
\(727\) −29.3987 19.6436i −1.09034 0.728541i −0.125687 0.992070i \(-0.540114\pi\)
−0.964652 + 0.263529i \(0.915114\pi\)
\(728\) −3.09846 + 1.28040i −0.114837 + 0.0474546i
\(729\) −20.5028 + 17.5680i −0.759365 + 0.650665i
\(730\) 1.16699 4.35043i 0.0431924 0.161017i
\(731\) −3.15608 10.4042i −0.116732 0.384813i
\(732\) 40.8263 11.7904i 1.50898 0.435785i
\(733\) −17.5024 14.3638i −0.646465 0.530540i 0.253037 0.967457i \(-0.418571\pi\)
−0.899502 + 0.436917i \(0.856071\pi\)
\(734\) 5.29670 2.39812i 0.195505 0.0885164i
\(735\) 4.63897 4.82740i 0.171111 0.178061i
\(736\) 22.1977 + 10.0949i 0.818218 + 0.372103i
\(737\) 27.2832 27.2832i 1.00499 1.00499i
\(738\) −29.8980 9.92276i −1.10056 0.365262i
\(739\) 4.37175 + 3.58780i 0.160817 + 0.131979i 0.711361 0.702827i \(-0.248079\pi\)
−0.550543 + 0.834807i \(0.685579\pi\)
\(740\) 1.71476 12.9691i 0.0630359 0.476754i
\(741\) −5.32699 + 1.73242i −0.195692 + 0.0636420i
\(742\) 7.94749 4.58553i 0.291761 0.168340i
\(743\) −14.4035 21.5564i −0.528415 0.790828i 0.467222 0.884140i \(-0.345255\pi\)
−0.995637 + 0.0933114i \(0.970255\pi\)
\(744\) −29.6961 19.0335i −1.08871 0.697803i
\(745\) 8.11714 + 5.42370i 0.297389 + 0.198709i
\(746\) 37.9558 33.2676i 1.38966 1.21801i
\(747\) −1.93066 + 33.0382i −0.0706392 + 1.20880i
\(748\) −14.6313 + 32.2443i −0.534974 + 1.17897i
\(749\) 2.14565 7.07327i 0.0784005 0.258452i
\(750\) −14.5071 + 3.68416i −0.529725 + 0.134527i
\(751\) 20.3297 8.42082i 0.741840 0.307280i 0.0204328 0.999791i \(-0.493496\pi\)
0.721407 + 0.692511i \(0.243496\pi\)
\(752\) −19.1334 + 11.0183i −0.697725 + 0.401797i
\(753\) 36.2006 + 14.1575i 1.31922 + 0.515929i
\(754\) 9.81045 + 1.62252i 0.357276 + 0.0590886i
\(755\) −1.15839 + 0.619171i −0.0421580 + 0.0225339i
\(756\) −2.21513 9.77835i −0.0805634 0.355635i
\(757\) −10.2775 + 8.43449i −0.373540 + 0.306557i −0.802368 0.596830i \(-0.796427\pi\)
0.428828 + 0.903386i \(0.358927\pi\)
\(758\) −23.5343 11.6140i −0.854806 0.421839i
\(759\) −8.99041 40.9238i −0.326331 1.48544i
\(760\) −3.01122 + 3.66294i −0.109229 + 0.132869i
\(761\) 42.7793 + 8.50934i 1.55075 + 0.308463i 0.894844 0.446380i \(-0.147287\pi\)
0.655906 + 0.754843i \(0.272287\pi\)
\(762\) 11.1870 1.69674i 0.405262 0.0614663i
\(763\) 8.12476 + 4.34277i 0.294136 + 0.157219i
\(764\) 2.88195 + 44.3482i 0.104265 + 1.60446i
\(765\) 5.97057 0.829080i 0.215866 0.0299754i
\(766\) −54.6948 + 1.77528i −1.97620 + 0.0641436i
\(767\) 7.54973 0.272605
\(768\) −10.2187 25.7600i −0.368737 0.929534i
\(769\) −13.9929 −0.504596 −0.252298 0.967650i \(-0.581186\pi\)
−0.252298 + 0.967650i \(0.581186\pi\)
\(770\) 4.87375 0.158192i 0.175638 0.00570085i
\(771\) −28.1309 + 3.33713i −1.01311 + 0.120184i
\(772\) 1.08907 + 16.7589i 0.0391965 + 0.603168i
\(773\) −19.4823 10.4135i −0.700728 0.374547i 0.0822369