Properties

Label 384.2.v.a.229.23
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.23
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.910468 + 1.08215i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-0.342097 + 1.97053i) q^{4} +(2.63552 + 3.21139i) q^{5} +(-1.31308 - 0.525180i) q^{6} +(1.69443 - 1.13218i) q^{7} +(-2.44387 + 1.42390i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(0.910468 + 1.08215i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-0.342097 + 1.97053i) q^{4} +(2.63552 + 3.21139i) q^{5} +(-1.31308 - 0.525180i) q^{6} +(1.69443 - 1.13218i) q^{7} +(-2.44387 + 1.42390i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-1.07565 + 5.77590i) q^{10} +(4.28043 - 1.29845i) q^{11} +(-0.627197 - 1.89911i) q^{12} +(-2.85407 - 2.34227i) q^{13} +(2.76791 + 0.802812i) q^{14} +(-3.83816 - 1.58982i) q^{15} +(-3.76594 - 1.34822i) q^{16} +(-5.40218 + 2.23766i) q^{17} +(1.40560 - 0.155816i) q^{18} +(-0.269906 - 2.74040i) q^{19} +(-7.22974 + 4.09476i) q^{20} +(-0.960647 + 1.79724i) q^{21} +(5.30231 + 3.44986i) q^{22} +(3.31698 - 0.659788i) q^{23} +(1.48408 - 2.40780i) q^{24} +(-2.39162 + 12.0235i) q^{25} +(-0.0638462 - 5.22110i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(1.65133 + 3.72623i) q^{28} +(0.408901 - 1.34797i) q^{29} +(-1.77410 - 5.60095i) q^{30} +(-4.32488 - 4.32488i) q^{31} +(-1.96979 - 5.30282i) q^{32} +(-3.16291 + 3.16291i) q^{33} +(-7.33999 - 3.80866i) q^{34} +(8.10159 + 2.45759i) q^{35} +(1.44837 + 1.37921i) q^{36} +(8.05373 + 0.793223i) q^{37} +(2.71978 - 2.78712i) q^{38} +(3.62121 + 0.720303i) q^{39} +(-11.0136 - 4.09552i) q^{40} +(-1.11095 - 5.58514i) q^{41} +(-2.81952 + 0.596769i) q^{42} +(-3.16625 - 1.69240i) q^{43} +(1.09431 + 8.87889i) q^{44} +(4.13440 - 0.407202i) q^{45} +(3.73399 + 2.98875i) q^{46} +(0.865264 + 2.08893i) q^{47} +(3.95681 - 0.586226i) q^{48} +(-1.08953 + 2.63035i) q^{49} +(-15.1887 + 8.35890i) q^{50} +(3.70947 - 4.52001i) q^{51} +(5.59188 - 4.82273i) q^{52} +(0.581978 + 1.91853i) q^{53} +(-1.16618 + 0.800014i) q^{54} +(15.4510 + 10.3240i) q^{55} +(-2.52886 + 5.17960i) q^{56} +(1.52985 + 2.28958i) q^{57} +(1.83099 - 0.784788i) q^{58} +(9.18901 - 7.54123i) q^{59} +(4.44580 - 7.01933i) q^{60} +(-5.57402 - 10.4283i) q^{61} +(0.742506 - 8.61784i) q^{62} -2.03787i q^{63} +(3.94502 - 6.95966i) q^{64} -15.3387i q^{65} +(-6.30248 - 0.543016i) q^{66} +(3.26315 + 6.10493i) q^{67} +(-2.56129 - 11.4106i) q^{68} +(-2.61429 + 2.14550i) q^{69} +(4.71676 + 11.0047i) q^{70} +(-4.41388 - 6.60584i) q^{71} +(-0.173813 + 2.82308i) q^{72} +(5.61024 + 3.74864i) q^{73} +(6.47427 + 9.43755i) q^{74} +(-3.55861 - 11.7312i) q^{75} +(5.49235 + 0.405626i) q^{76} +(5.78280 - 7.04636i) q^{77} +(2.51752 + 4.57450i) q^{78} +(-4.82549 + 11.6498i) q^{79} +(-5.59555 - 15.6472i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(5.03247 - 6.28731i) q^{82} +(-5.18996 + 0.511166i) q^{83} +(-3.21288 - 2.50781i) q^{84} +(-21.4236 - 11.4511i) q^{85} +(-1.05134 - 4.96723i) q^{86} +(0.274809 + 1.38156i) q^{87} +(-8.61195 + 9.26815i) q^{88} +(5.64347 + 1.12256i) q^{89} +(4.20489 + 4.10329i) q^{90} +(-7.48790 - 0.737494i) q^{91} +(0.165401 + 6.76191i) q^{92} +(5.85294 + 1.77547i) q^{93} +(-1.47274 + 2.83825i) q^{94} +(8.08915 - 8.08915i) q^{95} +(4.23693 + 3.74812i) q^{96} +(8.36665 + 8.36665i) q^{97} +(-3.83842 + 1.21582i) q^{98} +(1.29845 - 4.28043i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.910468 + 1.08215i 0.643798 + 0.765196i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) −0.342097 + 1.97053i −0.171048 + 0.985263i
\(5\) 2.63552 + 3.21139i 1.17864 + 1.43618i 0.875490 + 0.483237i \(0.160539\pi\)
0.303152 + 0.952942i \(0.401961\pi\)
\(6\) −1.31308 0.525180i −0.536064 0.214404i
\(7\) 1.69443 1.13218i 0.640434 0.427924i −0.192500 0.981297i \(-0.561659\pi\)
0.832934 + 0.553373i \(0.186659\pi\)
\(8\) −2.44387 + 1.42390i −0.864039 + 0.503424i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −1.07565 + 5.77590i −0.340151 + 1.82650i
\(11\) 4.28043 1.29845i 1.29060 0.391498i 0.430945 0.902378i \(-0.358180\pi\)
0.859652 + 0.510880i \(0.170680\pi\)
\(12\) −0.627197 1.89911i −0.181056 0.548226i
\(13\) −2.85407 2.34227i −0.791577 0.649630i 0.149143 0.988816i \(-0.452349\pi\)
−0.940720 + 0.339186i \(0.889849\pi\)
\(14\) 2.76791 + 0.802812i 0.739756 + 0.214561i
\(15\) −3.83816 1.58982i −0.991010 0.410490i
\(16\) −3.76594 1.34822i −0.941485 0.337055i
\(17\) −5.40218 + 2.23766i −1.31022 + 0.542712i −0.924949 0.380091i \(-0.875893\pi\)
−0.385273 + 0.922803i \(0.625893\pi\)
\(18\) 1.40560 0.155816i 0.331304 0.0367262i
\(19\) −0.269906 2.74040i −0.0619206 0.628690i −0.975195 0.221346i \(-0.928955\pi\)
0.913275 0.407344i \(-0.133545\pi\)
\(20\) −7.22974 + 4.09476i −1.61662 + 0.915615i
\(21\) −0.960647 + 1.79724i −0.209630 + 0.392191i
\(22\) 5.30231 + 3.44986i 1.13046 + 0.735514i
\(23\) 3.31698 0.659788i 0.691638 0.137575i 0.163258 0.986583i \(-0.447800\pi\)
0.528380 + 0.849008i \(0.322800\pi\)
\(24\) 1.48408 2.40780i 0.302937 0.491490i
\(25\) −2.39162 + 12.0235i −0.478324 + 2.40470i
\(26\) −0.0638462 5.22110i −0.0125213 1.02394i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) 1.65133 + 3.72623i 0.312073 + 0.704192i
\(29\) 0.408901 1.34797i 0.0759311 0.250311i −0.910755 0.412947i \(-0.864500\pi\)
0.986686 + 0.162636i \(0.0519995\pi\)
\(30\) −1.77410 5.60095i −0.323905 1.02259i
\(31\) −4.32488 4.32488i −0.776772 0.776772i 0.202508 0.979281i \(-0.435091\pi\)
−0.979281 + 0.202508i \(0.935091\pi\)
\(32\) −1.96979 5.30282i −0.348213 0.937416i
\(33\) −3.16291 + 3.16291i −0.550593 + 0.550593i
\(34\) −7.33999 3.80866i −1.25880 0.653179i
\(35\) 8.10159 + 2.45759i 1.36942 + 0.415409i
\(36\) 1.44837 + 1.37921i 0.241395 + 0.229868i
\(37\) 8.05373 + 0.793223i 1.32403 + 0.130405i 0.735197 0.677853i \(-0.237090\pi\)
0.588828 + 0.808258i \(0.299590\pi\)
\(38\) 2.71978 2.78712i 0.441207 0.452131i
\(39\) 3.62121 + 0.720303i 0.579857 + 0.115341i
\(40\) −11.0136 4.09552i −1.74140 0.647558i
\(41\) −1.11095 5.58514i −0.173502 0.872253i −0.965235 0.261385i \(-0.915821\pi\)
0.791733 0.610868i \(-0.209179\pi\)
\(42\) −2.81952 + 0.596769i −0.435062 + 0.0920834i
\(43\) −3.16625 1.69240i −0.482849 0.258088i 0.211966 0.977277i \(-0.432014\pi\)
−0.694814 + 0.719189i \(0.744514\pi\)
\(44\) 1.09431 + 8.87889i 0.164974 + 1.33854i
\(45\) 4.13440 0.407202i 0.616319 0.0607021i
\(46\) 3.73399 + 2.98875i 0.550547 + 0.440668i
\(47\) 0.865264 + 2.08893i 0.126212 + 0.304702i 0.974337 0.225093i \(-0.0722687\pi\)
−0.848125 + 0.529795i \(0.822269\pi\)
\(48\) 3.95681 0.586226i 0.571116 0.0846145i
\(49\) −1.08953 + 2.63035i −0.155647 + 0.375765i
\(50\) −15.1887 + 8.35890i −2.14801 + 1.18213i
\(51\) 3.70947 4.52001i 0.519430 0.632928i
\(52\) 5.59188 4.82273i 0.775454 0.668793i
\(53\) 0.581978 + 1.91853i 0.0799409 + 0.263530i 0.987796 0.155755i \(-0.0497810\pi\)
−0.907855 + 0.419285i \(0.862281\pi\)
\(54\) −1.16618 + 0.800014i −0.158697 + 0.108868i
\(55\) 15.4510 + 10.3240i 2.08341 + 1.39209i
\(56\) −2.52886 + 5.17960i −0.337933 + 0.692154i
\(57\) 1.52985 + 2.28958i 0.202634 + 0.303262i
\(58\) 1.83099 0.784788i 0.240421 0.103048i
\(59\) 9.18901 7.54123i 1.19631 0.981784i 0.196308 0.980542i \(-0.437105\pi\)
0.999999 0.00124159i \(-0.000395210\pi\)
\(60\) 4.44580 7.01933i 0.573951 0.906191i
\(61\) −5.57402 10.4283i −0.713680 1.33520i −0.933116 0.359575i \(-0.882922\pi\)
0.219436 0.975627i \(-0.429578\pi\)
\(62\) 0.742506 8.61784i 0.0942983 1.09447i
\(63\) 2.03787i 0.256748i
\(64\) 3.94502 6.95966i 0.493128 0.869957i
\(65\) 15.3387i 1.90253i
\(66\) −6.30248 0.543016i −0.775781 0.0668406i
\(67\) 3.26315 + 6.10493i 0.398657 + 0.745836i 0.998527 0.0542625i \(-0.0172808\pi\)
−0.599869 + 0.800098i \(0.704781\pi\)
\(68\) −2.56129 11.4106i −0.310602 1.38374i
\(69\) −2.61429 + 2.14550i −0.314724 + 0.258287i
\(70\) 4.71676 + 11.0047i 0.563760 + 1.31531i
\(71\) −4.41388 6.60584i −0.523831 0.783969i 0.471358 0.881942i \(-0.343764\pi\)
−0.995189 + 0.0979730i \(0.968764\pi\)
\(72\) −0.173813 + 2.82308i −0.0204841 + 0.332703i
\(73\) 5.61024 + 3.74864i 0.656629 + 0.438745i 0.838740 0.544533i \(-0.183293\pi\)
−0.182111 + 0.983278i \(0.558293\pi\)
\(74\) 6.47427 + 9.43755i 0.752619 + 1.09709i
\(75\) −3.55861 11.7312i −0.410913 1.35460i
\(76\) 5.49235 + 0.405626i 0.630016 + 0.0465285i
\(77\) 5.78280 7.04636i 0.659011 0.803007i
\(78\) 2.51752 + 4.57450i 0.285053 + 0.517960i
\(79\) −4.82549 + 11.6498i −0.542910 + 1.31070i 0.379751 + 0.925089i \(0.376010\pi\)
−0.922661 + 0.385612i \(0.873990\pi\)
\(80\) −5.59555 15.6472i −0.625601 1.74941i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 5.03247 6.28731i 0.555744 0.694317i
\(83\) −5.18996 + 0.511166i −0.569672 + 0.0561078i −0.378753 0.925498i \(-0.623647\pi\)
−0.190919 + 0.981606i \(0.561147\pi\)
\(84\) −3.21288 2.50781i −0.350554 0.273625i
\(85\) −21.4236 11.4511i −2.32371 1.24205i
\(86\) −1.05134 4.96723i −0.113369 0.535630i
\(87\) 0.274809 + 1.38156i 0.0294626 + 0.148118i
\(88\) −8.61195 + 9.26815i −0.918037 + 0.987988i
\(89\) 5.64347 + 1.12256i 0.598206 + 0.118991i 0.484900 0.874569i \(-0.338856\pi\)
0.113306 + 0.993560i \(0.463856\pi\)
\(90\) 4.20489 + 4.10329i 0.443234 + 0.432525i
\(91\) −7.48790 0.737494i −0.784945 0.0773104i
\(92\) 0.165401 + 6.76191i 0.0172442 + 0.704977i
\(93\) 5.85294 + 1.77547i 0.606922 + 0.184108i
\(94\) −1.47274 + 2.83825i −0.151902 + 0.292743i
\(95\) 8.08915 8.08915i 0.829930 0.829930i
\(96\) 4.23693 + 3.74812i 0.432430 + 0.382541i
\(97\) 8.36665 + 8.36665i 0.849505 + 0.849505i 0.990071 0.140566i \(-0.0448923\pi\)
−0.140566 + 0.990071i \(0.544892\pi\)
\(98\) −3.83842 + 1.21582i −0.387739 + 0.122816i
\(99\) 1.29845 4.28043i 0.130499 0.430199i
\(100\) −22.8744 8.82594i −2.28744 0.882594i
\(101\) 0.231973 2.35526i 0.0230821 0.234357i −0.976721 0.214514i \(-0.931183\pi\)
0.999803 0.0198432i \(-0.00631669\pi\)
\(102\) 8.26868 0.101114i 0.818722 0.0100117i
\(103\) 0.473584 2.38087i 0.0466636 0.234594i −0.950414 0.310987i \(-0.899340\pi\)
0.997078 + 0.0763932i \(0.0243404\pi\)
\(104\) 10.3101 + 1.66031i 1.01099 + 0.162807i
\(105\) −8.30346 + 1.65166i −0.810335 + 0.161186i
\(106\) −1.54626 + 2.37654i −0.150186 + 0.230830i
\(107\) 4.90834 9.18286i 0.474507 0.887741i −0.524825 0.851210i \(-0.675869\pi\)
0.999333 0.0365309i \(-0.0116307\pi\)
\(108\) −1.92751 0.533595i −0.185474 0.0513452i
\(109\) 1.36107 + 13.8192i 0.130367 + 1.32364i 0.808411 + 0.588619i \(0.200328\pi\)
−0.678044 + 0.735022i \(0.737172\pi\)
\(110\) 2.89549 + 26.1200i 0.276074 + 2.49045i
\(111\) −7.47668 + 3.09694i −0.709655 + 0.293949i
\(112\) −7.90755 + 1.97926i −0.747193 + 0.187023i
\(113\) 15.8769 + 6.57643i 1.49357 + 0.618658i 0.972091 0.234604i \(-0.0753795\pi\)
0.521482 + 0.853262i \(0.325379\pi\)
\(114\) −1.08479 + 3.74012i −0.101600 + 0.350294i
\(115\) 10.8608 + 8.91324i 1.01278 + 0.831164i
\(116\) 2.51632 + 1.26689i 0.233634 + 0.117627i
\(117\) −3.53317 + 1.07177i −0.326641 + 0.0990856i
\(118\) 16.5270 + 3.07784i 1.52144 + 0.283338i
\(119\) −6.62018 + 9.90780i −0.606871 + 0.908247i
\(120\) 11.6437 1.57984i 1.06292 0.144219i
\(121\) 7.48992 5.00460i 0.680901 0.454964i
\(122\) 6.20997 15.5265i 0.562225 1.40571i
\(123\) 3.61259 + 4.40196i 0.325736 + 0.396911i
\(124\) 10.0018 7.04276i 0.898190 0.632459i
\(125\) −26.5960 + 14.2159i −2.37882 + 1.27151i
\(126\) 2.20528 1.85542i 0.196462 0.165294i
\(127\) −18.1249 −1.60832 −0.804161 0.594411i \(-0.797385\pi\)
−0.804161 + 0.594411i \(0.797385\pi\)
\(128\) 11.1232 2.06744i 0.983162 0.182737i
\(129\) 3.59017 0.316097
\(130\) 16.5987 13.9654i 1.45581 1.22484i
\(131\) −4.28977 + 2.29293i −0.374799 + 0.200334i −0.648031 0.761614i \(-0.724407\pi\)
0.273232 + 0.961948i \(0.411907\pi\)
\(132\) −5.15058 7.31462i −0.448300 0.636656i
\(133\) −3.55996 4.33783i −0.308688 0.376137i
\(134\) −3.63545 + 9.08956i −0.314055 + 0.785218i
\(135\) −3.45426 + 2.30806i −0.297295 + 0.198646i
\(136\) 10.0160 13.1607i 0.858869 1.12852i
\(137\) −5.92010 + 8.86005i −0.505788 + 0.756966i −0.993227 0.116192i \(-0.962931\pi\)
0.487439 + 0.873157i \(0.337931\pi\)
\(138\) −4.70198 0.875653i −0.400259 0.0745406i
\(139\) 7.13718 2.16504i 0.605367 0.183636i 0.0273028 0.999627i \(-0.491308\pi\)
0.578065 + 0.815991i \(0.303808\pi\)
\(140\) −7.61427 + 15.1237i −0.643524 + 1.27818i
\(141\) −1.74781 1.43439i −0.147192 0.120798i
\(142\) 3.12981 10.7909i 0.262648 0.905551i
\(143\) −15.2580 6.32006i −1.27594 0.528510i
\(144\) −3.21325 + 2.38223i −0.267771 + 0.198519i
\(145\) 5.40652 2.23946i 0.448987 0.185977i
\(146\) 1.05135 + 9.48413i 0.0870102 + 0.784912i
\(147\) −0.279062 2.83336i −0.0230166 0.233692i
\(148\) −4.31822 + 15.5987i −0.354956 + 1.28221i
\(149\) −5.37475 + 10.0554i −0.440317 + 0.823774i −0.999988 0.00494035i \(-0.998427\pi\)
0.559671 + 0.828715i \(0.310927\pi\)
\(150\) 9.45488 14.5318i 0.771988 1.18652i
\(151\) −0.437213 + 0.0869670i −0.0355799 + 0.00707727i −0.212848 0.977085i \(-0.568274\pi\)
0.177268 + 0.984163i \(0.443274\pi\)
\(152\) 4.56166 + 6.31286i 0.370000 + 0.512041i
\(153\) −1.14075 + 5.73493i −0.0922240 + 0.463641i
\(154\) 12.8903 0.157629i 1.03873 0.0127021i
\(155\) 2.49058 25.2872i 0.200048 2.03112i
\(156\) −2.65818 + 6.88926i −0.212825 + 0.551583i
\(157\) −3.12812 + 10.3120i −0.249651 + 0.822988i 0.739123 + 0.673570i \(0.235240\pi\)
−0.988774 + 0.149418i \(0.952260\pi\)
\(158\) −17.0002 + 5.38483i −1.35247 + 0.428394i
\(159\) −1.41765 1.41765i −0.112427 0.112427i
\(160\) 11.8380 20.3015i 0.935879 1.60497i
\(161\) 4.87339 4.87339i 0.384077 0.384077i
\(162\) 0.651355 1.25528i 0.0511753 0.0986244i
\(163\) −21.5919 6.54982i −1.69121 0.513022i −0.709708 0.704496i \(-0.751173\pi\)
−0.981498 + 0.191474i \(0.938673\pi\)
\(164\) 11.3857 0.278502i 0.889075 0.0217474i
\(165\) −18.4933 1.82143i −1.43970 0.141798i
\(166\) −5.27845 5.15091i −0.409687 0.399788i
\(167\) −9.17731 1.82548i −0.710161 0.141260i −0.173225 0.984882i \(-0.555419\pi\)
−0.536937 + 0.843623i \(0.680419\pi\)
\(168\) −0.211397 5.76010i −0.0163096 0.444401i
\(169\) 0.123291 + 0.619824i 0.00948390 + 0.0476788i
\(170\) −7.11362 33.6094i −0.545590 2.57772i
\(171\) −2.42851 1.29806i −0.185713 0.0992655i
\(172\) 4.41807 5.66021i 0.336875 0.431587i
\(173\) −12.3052 + 1.21195i −0.935545 + 0.0921432i −0.554287 0.832326i \(-0.687009\pi\)
−0.381258 + 0.924469i \(0.624509\pi\)
\(174\) −1.24485 + 1.55525i −0.0943716 + 0.117903i
\(175\) 9.56034 + 23.0807i 0.722693 + 1.74474i
\(176\) −17.8704 0.881067i −1.34703 0.0664129i
\(177\) −4.54907 + 10.9824i −0.341929 + 0.825490i
\(178\) 3.92342 + 7.12913i 0.294073 + 0.534351i
\(179\) 15.3886 18.7510i 1.15020 1.40152i 0.248784 0.968559i \(-0.419969\pi\)
0.901413 0.432960i \(-0.142531\pi\)
\(180\) −0.611961 + 8.28623i −0.0456129 + 0.617619i
\(181\) −7.38815 24.3555i −0.549157 1.81033i −0.585083 0.810973i \(-0.698938\pi\)
0.0359264 0.999354i \(-0.488562\pi\)
\(182\) −6.01941 8.77450i −0.446189 0.650409i
\(183\) 9.83169 + 6.56933i 0.726780 + 0.485619i
\(184\) −7.16680 + 6.33548i −0.528344 + 0.467058i
\(185\) 18.6784 + 27.9543i 1.37327 + 2.05524i
\(186\) 3.40759 + 7.95027i 0.249857 + 0.582942i
\(187\) −20.2182 + 16.5926i −1.47850 + 1.21337i
\(188\) −4.41230 + 0.990408i −0.321800 + 0.0722329i
\(189\) 0.960647 + 1.79724i 0.0698768 + 0.130730i
\(190\) 16.1186 + 1.38876i 1.16937 + 0.100751i
\(191\) 16.9418i 1.22587i 0.790134 + 0.612934i \(0.210011\pi\)
−0.790134 + 0.612934i \(0.789989\pi\)
\(192\) −0.198439 + 7.99754i −0.0143211 + 0.577173i
\(193\) 9.81720i 0.706657i −0.935499 0.353329i \(-0.885050\pi\)
0.935499 0.353329i \(-0.114950\pi\)
\(194\) −1.43641 + 16.6715i −0.103128 + 1.19695i
\(195\) 7.23060 + 13.5275i 0.517794 + 0.968724i
\(196\) −4.81045 3.04678i −0.343604 0.217627i
\(197\) 7.72442 6.33927i 0.550342 0.451654i −0.317667 0.948202i \(-0.602899\pi\)
0.868009 + 0.496548i \(0.165399\pi\)
\(198\) 5.81426 2.49207i 0.413202 0.177104i
\(199\) −9.39602 14.0621i −0.666066 0.996838i −0.998555 0.0537311i \(-0.982889\pi\)
0.332490 0.943107i \(-0.392111\pi\)
\(200\) −11.2754 32.7893i −0.797292 2.31855i
\(201\) −5.75569 3.84583i −0.405975 0.271264i
\(202\) 2.75995 1.89336i 0.194189 0.133216i
\(203\) −0.833289 2.74699i −0.0584854 0.192801i
\(204\) 7.63779 + 8.85589i 0.534752 + 0.620037i
\(205\) 15.0081 18.2875i 1.04821 1.27725i
\(206\) 3.00764 1.65521i 0.209552 0.115324i
\(207\) 1.29422 3.12453i 0.0899546 0.217170i
\(208\) 7.59035 + 12.6688i 0.526296 + 0.878422i
\(209\) −4.71359 11.3796i −0.326046 0.787144i
\(210\) −9.34738 7.48181i −0.645031 0.516294i
\(211\) 4.86187 0.478852i 0.334705 0.0329655i 0.0707310 0.997495i \(-0.477467\pi\)
0.263974 + 0.964530i \(0.414967\pi\)
\(212\) −3.97960 + 0.490481i −0.273320 + 0.0336864i
\(213\) 7.00667 + 3.74514i 0.480089 + 0.256613i
\(214\) 14.4061 3.04914i 0.984782 0.208435i
\(215\) −2.90978 14.6284i −0.198445 0.997651i
\(216\) −1.17750 2.57167i −0.0801188 0.174980i
\(217\) −12.2248 2.43166i −0.829871 0.165072i
\(218\) −13.7152 + 14.0548i −0.928914 + 0.951913i
\(219\) −6.71488 0.661358i −0.453750 0.0446905i
\(220\) −25.6295 + 26.9148i −1.72794 + 1.81459i
\(221\) 20.6594 + 6.26696i 1.38970 + 0.421562i
\(222\) −10.1586 5.27122i −0.681803 0.353781i
\(223\) 6.60843 6.60843i 0.442533 0.442533i −0.450329 0.892863i \(-0.648693\pi\)
0.892863 + 0.450329i \(0.148693\pi\)
\(224\) −9.34143 6.75510i −0.624150 0.451344i
\(225\) 8.66845 + 8.66845i 0.577897 + 0.577897i
\(226\) 7.33872 + 23.1688i 0.488165 + 1.54117i
\(227\) 0.343765 1.13324i 0.0228165 0.0752158i −0.944793 0.327668i \(-0.893737\pi\)
0.967609 + 0.252453i \(0.0812372\pi\)
\(228\) −5.03504 + 2.23135i −0.333453 + 0.147775i
\(229\) 0.501229 5.08906i 0.0331221 0.336294i −0.964316 0.264755i \(-0.914709\pi\)
0.997438 0.0715393i \(-0.0227911\pi\)
\(230\) 0.242959 + 19.8683i 0.0160203 + 1.31007i
\(231\) −1.77834 + 8.94033i −0.117006 + 0.588230i
\(232\) 0.920067 + 3.87649i 0.0604054 + 0.254504i
\(233\) −10.0389 + 1.99687i −0.657672 + 0.130819i −0.512634 0.858607i \(-0.671330\pi\)
−0.145037 + 0.989426i \(0.546330\pi\)
\(234\) −4.37665 2.84760i −0.286111 0.186153i
\(235\) −4.42796 + 8.28414i −0.288848 + 0.540398i
\(236\) 11.7166 + 20.6870i 0.762688 + 1.34661i
\(237\) −1.23596 12.5489i −0.0802841 0.815138i
\(238\) −16.7492 + 1.85671i −1.08569 + 0.120352i
\(239\) −9.18309 + 3.80376i −0.594004 + 0.246045i −0.659372 0.751817i \(-0.729178\pi\)
0.0653679 + 0.997861i \(0.479178\pi\)
\(240\) 12.3109 + 11.1619i 0.794663 + 0.720495i
\(241\) −24.3464 10.0846i −1.56829 0.649606i −0.581785 0.813343i \(-0.697645\pi\)
−0.986504 + 0.163736i \(0.947645\pi\)
\(242\) 12.2351 + 3.54868i 0.786499 + 0.228118i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) 22.4560 7.41627i 1.43760 0.474778i
\(245\) −11.3186 + 3.43345i −0.723117 + 0.219355i
\(246\) −1.47443 + 7.91720i −0.0940061 + 0.504782i
\(247\) −5.64843 + 8.45348i −0.359401 + 0.537882i
\(248\) 16.7277 + 4.41126i 1.06221 + 0.280116i
\(249\) 4.33617 2.89734i 0.274794 0.183611i
\(250\) −39.5986 15.8378i −2.50443 1.00167i
\(251\) 11.8762 + 14.4712i 0.749620 + 0.913415i 0.998479 0.0551249i \(-0.0175557\pi\)
−0.248859 + 0.968540i \(0.580056\pi\)
\(252\) 4.01568 + 0.697150i 0.252964 + 0.0439163i
\(253\) 13.3414 7.13112i 0.838766 0.448330i
\(254\) −16.5021 19.6138i −1.03543 1.23068i
\(255\) 24.2919 1.52122
\(256\) 12.3646 + 10.1546i 0.772787 + 0.634665i
\(257\) −2.70853 −0.168953 −0.0844767 0.996425i \(-0.526922\pi\)
−0.0844767 + 0.996425i \(0.526922\pi\)
\(258\) 3.26874 + 3.88511i 0.203503 + 0.241876i
\(259\) 14.5446 7.77422i 0.903754 0.483067i
\(260\) 30.2252 + 5.24731i 1.87449 + 0.325424i
\(261\) −0.893620 1.08888i −0.0553137 0.0674000i
\(262\) −6.38699 2.55454i −0.394590 0.157820i
\(263\) −3.39621 + 2.26927i −0.209419 + 0.139929i −0.655857 0.754885i \(-0.727692\pi\)
0.446438 + 0.894815i \(0.352692\pi\)
\(264\) 3.22609 12.2334i 0.198552 0.752915i
\(265\) −4.62732 + 6.92528i −0.284254 + 0.425417i
\(266\) 1.45295 7.80187i 0.0890860 0.478363i
\(267\) −5.50626 + 1.67031i −0.336978 + 0.102221i
\(268\) −13.1462 + 4.34165i −0.803034 + 0.265208i
\(269\) 4.96162 + 4.07190i 0.302515 + 0.248268i 0.773388 0.633933i \(-0.218561\pi\)
−0.470872 + 0.882201i \(0.656061\pi\)
\(270\) −5.64266 1.63661i −0.343401 0.0996009i
\(271\) −12.7011 5.26095i −0.771534 0.319580i −0.0380404 0.999276i \(-0.512112\pi\)
−0.733494 + 0.679696i \(0.762112\pi\)
\(272\) 23.3611 1.14354i 1.41648 0.0693375i
\(273\) 6.95139 2.87936i 0.420717 0.174267i
\(274\) −14.9780 + 1.66036i −0.904852 + 0.100306i
\(275\) 5.37478 + 54.5711i 0.324111 + 3.29076i
\(276\) −3.33341 5.88550i −0.200648 0.354265i
\(277\) −1.79671 + 3.36142i −0.107954 + 0.201968i −0.930098 0.367312i \(-0.880278\pi\)
0.822144 + 0.569280i \(0.192778\pi\)
\(278\) 8.84107 + 5.75230i 0.530252 + 0.345000i
\(279\) −5.99879 + 1.19323i −0.359138 + 0.0714370i
\(280\) −23.2986 + 5.52981i −1.39236 + 0.330470i
\(281\) −4.40340 + 22.1374i −0.262685 + 1.32060i 0.593875 + 0.804557i \(0.297597\pi\)
−0.856560 + 0.516048i \(0.827403\pi\)
\(282\) −0.0390990 3.19736i −0.00232831 0.190400i
\(283\) −0.0508846 + 0.516640i −0.00302478 + 0.0307111i −0.996579 0.0826499i \(-0.973662\pi\)
0.993554 + 0.113361i \(0.0361617\pi\)
\(284\) 14.5270 6.43783i 0.862016 0.382015i
\(285\) −3.32080 + 10.9472i −0.196707 + 0.648456i
\(286\) −7.05264 22.2656i −0.417031 1.31659i
\(287\) −8.20583 8.20583i −0.484375 0.484375i
\(288\) −5.50349 1.30827i −0.324296 0.0770906i
\(289\) 12.1556 12.1556i 0.715038 0.715038i
\(290\) 7.34589 + 3.81172i 0.431366 + 0.223832i
\(291\) −11.3227 3.43472i −0.663751 0.201347i
\(292\) −9.30603 + 9.77271i −0.544595 + 0.571905i
\(293\) 7.61556 + 0.750067i 0.444906 + 0.0438194i 0.317990 0.948094i \(-0.396992\pi\)
0.126916 + 0.991913i \(0.459492\pi\)
\(294\) 2.81205 2.88167i 0.164002 0.168063i
\(295\) 48.4357 + 9.63446i 2.82004 + 0.560940i
\(296\) −20.8118 + 9.52917i −1.20966 + 0.553871i
\(297\) 0.872646 + 4.38709i 0.0506361 + 0.254565i
\(298\) −15.7750 + 3.33888i −0.913823 + 0.193416i
\(299\) −11.0123 5.88620i −0.636858 0.340408i
\(300\) 24.3339 2.99914i 1.40492 0.173155i
\(301\) −7.28109 + 0.717125i −0.419675 + 0.0413344i
\(302\) −0.492179 0.393949i −0.0283217 0.0226692i
\(303\) 0.905679 + 2.18650i 0.0520299 + 0.125611i
\(304\) −2.67821 + 10.6841i −0.153606 + 0.612773i
\(305\) 18.7988 45.3843i 1.07642 2.59870i
\(306\) −7.24466 + 3.98700i −0.414150 + 0.227922i
\(307\) 0.363981 0.443512i 0.0207735 0.0253125i −0.762520 0.646965i \(-0.776038\pi\)
0.783294 + 0.621652i \(0.213538\pi\)
\(308\) 11.9068 + 13.8057i 0.678450 + 0.786652i
\(309\) 0.704669 + 2.32298i 0.0400872 + 0.132150i
\(310\) 29.6322 20.3280i 1.68299 1.15456i
\(311\) −20.5106 13.7047i −1.16305 0.777123i −0.184437 0.982844i \(-0.559046\pi\)
−0.978611 + 0.205721i \(0.934046\pi\)
\(312\) −9.87540 + 3.39591i −0.559085 + 0.192255i
\(313\) −16.2383 24.3023i −0.917843 1.37365i −0.927551 0.373696i \(-0.878090\pi\)
0.00970865 0.999953i \(-0.496910\pi\)
\(314\) −14.0072 + 6.00367i −0.790472 + 0.338807i
\(315\) 6.54441 5.37086i 0.368736 0.302614i
\(316\) −21.3054 13.4941i −1.19852 0.759102i
\(317\) 9.10110 + 17.0270i 0.511169 + 0.956330i 0.996627 + 0.0820695i \(0.0261530\pi\)
−0.485458 + 0.874260i \(0.661347\pi\)
\(318\) 0.243385 2.82483i 0.0136483 0.158408i
\(319\) 6.30082i 0.352778i
\(320\) 32.7474 5.67332i 1.83063 0.317148i
\(321\) 10.4123i 0.581160i
\(322\) 9.71080 + 0.836674i 0.541162 + 0.0466260i
\(323\) 7.59015 + 14.2002i 0.422327 + 0.790118i
\(324\) 1.95144 0.438031i 0.108413 0.0243351i
\(325\) 34.9881 28.7140i 1.94079 1.59277i
\(326\) −12.5708 29.3290i −0.696233 1.62439i
\(327\) −7.71469 11.5459i −0.426623 0.638487i
\(328\) 10.6677 + 12.0675i 0.589026 + 0.666315i
\(329\) 3.83118 + 2.55991i 0.211220 + 0.141133i
\(330\) −14.8665 21.6709i −0.818373 1.19294i
\(331\) 2.87364 + 9.47311i 0.157949 + 0.520689i 0.999820 0.0189907i \(-0.00604528\pi\)
−0.841870 + 0.539680i \(0.818545\pi\)
\(332\) 0.768203 10.4018i 0.0421606 0.570874i
\(333\) 5.13395 6.25574i 0.281339 0.342812i
\(334\) −6.38020 11.5933i −0.349109 0.634355i
\(335\) −11.0052 + 26.5689i −0.601279 + 1.45162i
\(336\) 6.04082 5.47315i 0.329554 0.298585i
\(337\) −8.73191 21.0807i −0.475657 1.14834i −0.961626 0.274362i \(-0.911533\pi\)
0.485969 0.873976i \(-0.338467\pi\)
\(338\) −0.558491 + 0.697749i −0.0303779 + 0.0379525i
\(339\) −17.1023 + 1.68443i −0.928868 + 0.0914855i
\(340\) 29.8937 38.2983i 1.62121 2.07702i
\(341\) −24.1280 12.8967i −1.30661 0.698395i
\(342\) −0.806378 3.80986i −0.0436039 0.206013i
\(343\) 3.91489 + 19.6815i 0.211384 + 1.06270i
\(344\) 10.1477 0.372423i 0.547128 0.0200797i
\(345\) −13.7801 2.74102i −0.741894 0.147572i
\(346\) −12.5150 12.2126i −0.672810 0.656553i
\(347\) 27.9788 + 2.75567i 1.50198 + 0.147932i 0.815305 0.579031i \(-0.196569\pi\)
0.686676 + 0.726964i \(0.259069\pi\)
\(348\) −2.81640 + 0.0688911i −0.150975 + 0.00369295i
\(349\) 12.9991 + 3.94322i 0.695823 + 0.211076i 0.618332 0.785917i \(-0.287809\pi\)
0.0774917 + 0.996993i \(0.475309\pi\)
\(350\) −16.2724 + 31.3599i −0.869796 + 1.67626i
\(351\) 2.61074 2.61074i 0.139351 0.139351i
\(352\) −15.3170 20.1407i −0.816399 1.07350i
\(353\) 20.5229 + 20.5229i 1.09232 + 1.09232i 0.995280 + 0.0970423i \(0.0309382\pi\)
0.0970423 + 0.995280i \(0.469062\pi\)
\(354\) −16.0264 + 5.07637i −0.851795 + 0.269806i
\(355\) 9.58107 31.5846i 0.508511 1.67633i
\(356\) −4.14264 + 10.7366i −0.219559 + 0.569037i
\(357\) 1.16797 11.8586i 0.0618157 0.627625i
\(358\) 34.3023 0.419465i 1.81293 0.0221694i
\(359\) 0.783929 3.94108i 0.0413742 0.208002i −0.954569 0.297991i \(-0.903683\pi\)
0.995943 + 0.0899894i \(0.0286833\pi\)
\(360\) −9.52412 + 6.88211i −0.501965 + 0.362719i
\(361\) 11.1980 2.22742i 0.589368 0.117233i
\(362\) 19.6296 30.1700i 1.03171 1.58570i
\(363\) −4.24636 + 7.94439i −0.222876 + 0.416972i
\(364\) 4.01484 14.5028i 0.210435 0.760153i
\(365\) 2.74755 + 27.8963i 0.143813 + 1.46016i
\(366\) 1.84244 + 16.6205i 0.0963060 + 0.868769i
\(367\) −20.5821 + 8.52538i −1.07438 + 0.445021i −0.848533 0.529143i \(-0.822514\pi\)
−0.225843 + 0.974164i \(0.572514\pi\)
\(368\) −13.3811 1.98730i −0.697537 0.103595i
\(369\) −5.26109 2.17921i −0.273881 0.113445i
\(370\) −13.2446 + 45.6643i −0.688553 + 2.37398i
\(371\) 3.15824 + 2.59190i 0.163968 + 0.134565i
\(372\) −5.50088 + 10.9260i −0.285208 + 0.566486i
\(373\) −3.69152 + 1.11981i −0.191139 + 0.0579815i −0.384403 0.923165i \(-0.625593\pi\)
0.193264 + 0.981147i \(0.438093\pi\)
\(374\) −36.3637 6.77204i −1.88032 0.350174i
\(375\) 16.7543 25.0746i 0.865188 1.29485i
\(376\) −5.08903 3.87304i −0.262446 0.199737i
\(377\) −4.32434 + 2.88943i −0.222715 + 0.148813i
\(378\) −1.07025 + 2.67590i −0.0550477 + 0.137633i
\(379\) 2.50472 + 3.05201i 0.128659 + 0.156771i 0.833355 0.552738i \(-0.186417\pi\)
−0.704697 + 0.709509i \(0.748917\pi\)
\(380\) 13.1726 + 18.7072i 0.675740 + 0.959657i
\(381\) 15.9847 8.54401i 0.818922 0.437723i
\(382\) −18.3336 + 15.4250i −0.938029 + 0.789211i
\(383\) 19.9282 1.01828 0.509141 0.860683i \(-0.329963\pi\)
0.509141 + 0.860683i \(0.329963\pi\)
\(384\) −8.83521 + 7.06676i −0.450870 + 0.360624i
\(385\) 37.8693 1.93000
\(386\) 10.6237 8.93824i 0.540731 0.454944i
\(387\) −3.16625 + 1.69240i −0.160950 + 0.0860293i
\(388\) −19.3489 + 13.6245i −0.982292 + 0.691679i
\(389\) −12.5423 15.2829i −0.635921 0.774872i 0.350948 0.936395i \(-0.385859\pi\)
−0.986869 + 0.161523i \(0.948359\pi\)
\(390\) −8.05555 + 20.1409i −0.407909 + 1.01988i
\(391\) −16.4425 + 10.9866i −0.831535 + 0.555614i
\(392\) −1.08269 7.97962i −0.0546842 0.403032i
\(393\) 2.70236 4.04437i 0.136316 0.204011i
\(394\) 13.8929 + 2.58728i 0.699913 + 0.130345i
\(395\) −50.1297 + 15.2067i −2.52230 + 0.765130i
\(396\) 7.99049 + 4.02296i 0.401537 + 0.202161i
\(397\) 4.38943 + 3.60232i 0.220299 + 0.180795i 0.738069 0.674725i \(-0.235738\pi\)
−0.517770 + 0.855520i \(0.673238\pi\)
\(398\) 6.66257 22.9710i 0.333964 1.15143i
\(399\) 5.18444 + 2.14747i 0.259547 + 0.107508i
\(400\) 25.2170 42.0553i 1.26085 2.10276i
\(401\) 15.4019 6.37969i 0.769136 0.318586i 0.0366135 0.999330i \(-0.488343\pi\)
0.732522 + 0.680743i \(0.238343\pi\)
\(402\) −1.07861 9.73001i −0.0537960 0.485289i
\(403\) 2.21346 + 22.4736i 0.110260 + 1.11949i
\(404\) 4.56174 + 1.26283i 0.226955 + 0.0628284i
\(405\) 1.95837 3.66385i 0.0973122 0.182058i
\(406\) 2.21397 3.40279i 0.109877 0.168877i
\(407\) 35.5034 7.06206i 1.75984 0.350053i
\(408\) −2.62944 + 16.3282i −0.130177 + 0.808368i
\(409\) −4.01893 + 20.2045i −0.198723 + 0.999049i 0.744685 + 0.667416i \(0.232600\pi\)
−0.943408 + 0.331633i \(0.892400\pi\)
\(410\) 33.4542 0.409095i 1.65219 0.0202038i
\(411\) 1.04446 10.6046i 0.0515194 0.523086i
\(412\) 4.52955 + 1.74770i 0.223155 + 0.0861028i
\(413\) 7.03209 23.1817i 0.346027 1.14070i
\(414\) 4.55955 1.44424i 0.224090 0.0709805i
\(415\) −15.3198 15.3198i −0.752020 0.752020i
\(416\) −6.79875 + 19.7484i −0.333336 + 0.968246i
\(417\) −5.27384 + 5.27384i −0.258261 + 0.258261i
\(418\) 8.02287 15.4616i 0.392412 0.756251i
\(419\) 12.8661 + 3.90288i 0.628549 + 0.190668i 0.588458 0.808528i \(-0.299735\pi\)
0.0400908 + 0.999196i \(0.487235\pi\)
\(420\) −0.414051 16.9272i −0.0202036 0.825964i
\(421\) −15.1499 1.49214i −0.738362 0.0727223i −0.278158 0.960535i \(-0.589724\pi\)
−0.460204 + 0.887813i \(0.652224\pi\)
\(422\) 4.94476 + 4.82529i 0.240707 + 0.234891i
\(423\) 2.21760 + 0.441108i 0.107823 + 0.0214474i
\(424\) −4.15407 3.85995i −0.201739 0.187456i
\(425\) −13.9845 70.3047i −0.678346 3.41028i
\(426\) 2.32654 + 10.9921i 0.112721 + 0.532569i
\(427\) −21.2515 11.3591i −1.02843 0.549708i
\(428\) 16.4159 + 12.8134i 0.793494 + 0.619361i
\(429\) 16.4356 1.61876i 0.793518 0.0781547i
\(430\) 13.1809 16.4675i 0.635639 0.794135i
\(431\) −12.2591 29.5962i −0.590502 1.42560i −0.883019 0.469338i \(-0.844493\pi\)
0.292517 0.956260i \(-0.405507\pi\)
\(432\) 1.71086 3.61566i 0.0823136 0.173958i
\(433\) −8.58927 + 20.7363i −0.412774 + 0.996525i 0.571615 + 0.820522i \(0.306317\pi\)
−0.984390 + 0.176003i \(0.943683\pi\)
\(434\) −8.49884 15.4430i −0.407957 0.741287i
\(435\) −3.71246 + 4.52364i −0.177999 + 0.216892i
\(436\) −27.6967 2.04548i −1.32643 0.0979608i
\(437\) −2.70335 8.91176i −0.129319 0.426307i
\(438\) −5.39800 7.86866i −0.257926 0.375979i
\(439\) −9.98262 6.67017i −0.476444 0.318350i 0.294058 0.955788i \(-0.404994\pi\)
−0.770502 + 0.637438i \(0.779994\pi\)
\(440\) −52.4607 3.22994i −2.50097 0.153981i
\(441\) 1.58175 + 2.36725i 0.0753214 + 0.112726i
\(442\) 12.0279 + 28.0625i 0.572110 + 1.33479i
\(443\) 21.0656 17.2881i 1.00086 0.821383i 0.0169132 0.999857i \(-0.494616\pi\)
0.983945 + 0.178474i \(0.0571161\pi\)
\(444\) −3.54485 15.7924i −0.168231 0.749476i
\(445\) 11.2685 + 21.0819i 0.534179 + 0.999379i
\(446\) 13.1681 + 1.13455i 0.623527 + 0.0537225i
\(447\) 11.4018i 0.539284i
\(448\) −1.19503 16.2591i −0.0564601 0.768172i
\(449\) 5.17891i 0.244408i −0.992505 0.122204i \(-0.961004\pi\)
0.992505 0.122204i \(-0.0389962\pi\)
\(450\) −1.48822 + 17.2729i −0.0701553 + 0.814252i
\(451\) −12.0074 22.4643i −0.565407 1.05780i
\(452\) −18.3904 + 29.0360i −0.865014 + 1.36574i
\(453\) 0.344591 0.282799i 0.0161903 0.0132870i
\(454\) 1.53932 0.659774i 0.0722440 0.0309647i
\(455\) −17.3662 25.9903i −0.814138 1.21844i
\(456\) −6.99889 3.41709i −0.327753 0.160020i
\(457\) 34.7768 + 23.2371i 1.62679 + 1.08699i 0.928603 + 0.371074i \(0.121010\pi\)
0.698188 + 0.715914i \(0.253990\pi\)
\(458\) 5.96348 4.09102i 0.278655 0.191161i
\(459\) −1.69738 5.59550i −0.0792267 0.261175i
\(460\) −21.2792 + 18.3523i −0.992149 + 0.855682i
\(461\) 15.1437 18.4526i 0.705311 0.859424i −0.289912 0.957053i \(-0.593626\pi\)
0.995223 + 0.0976294i \(0.0311260\pi\)
\(462\) −11.2939 + 6.21545i −0.525440 + 0.289169i
\(463\) −4.78321 + 11.5477i −0.222295 + 0.536667i −0.995201 0.0978536i \(-0.968802\pi\)
0.772906 + 0.634520i \(0.218802\pi\)
\(464\) −3.35726 + 4.52507i −0.155857 + 0.210071i
\(465\) 9.72383 + 23.4754i 0.450932 + 1.08865i
\(466\) −11.3010 9.04554i −0.523510 0.419026i
\(467\) −28.9267 + 2.84903i −1.33857 + 0.131837i −0.741824 0.670595i \(-0.766039\pi\)
−0.596744 + 0.802432i \(0.703539\pi\)
\(468\) −0.903273 7.32884i −0.0417538 0.338776i
\(469\) 12.4411 + 6.64989i 0.574475 + 0.307063i
\(470\) −12.9962 + 2.75072i −0.599470 + 0.126881i
\(471\) −2.10230 10.5690i −0.0968688 0.486992i
\(472\) −11.7188 + 31.5140i −0.539402 + 1.45055i
\(473\) −15.7504 3.13295i −0.724205 0.144053i
\(474\) 12.4545 12.7628i 0.572053 0.586217i
\(475\) 33.5946 + 3.30878i 1.54143 + 0.151817i
\(476\) −17.2588 16.4347i −0.791057 0.753282i
\(477\) 1.91853 + 0.581978i 0.0878433 + 0.0266470i
\(478\) −12.4771 6.47428i −0.570691 0.296127i
\(479\) −12.6950 + 12.6950i −0.580049 + 0.580049i −0.934917 0.354867i \(-0.884526\pi\)
0.354867 + 0.934917i \(0.384526\pi\)
\(480\) −0.870161 + 23.4847i −0.0397172 + 1.07193i
\(481\) −21.1280 21.1280i −0.963352 0.963352i
\(482\) −11.2535 35.5281i −0.512585 1.61826i
\(483\) −2.00065 + 6.59525i −0.0910325 + 0.300094i
\(484\) 7.29942 + 16.4711i 0.331792 + 0.748688i
\(485\) −4.81811 + 48.9191i −0.218779 + 2.22130i
\(486\) 0.0172924 + 1.41411i 0.000784401 + 0.0641452i
\(487\) 2.27774 11.4510i 0.103214 0.518893i −0.894240 0.447587i \(-0.852283\pi\)
0.997454 0.0713059i \(-0.0227167\pi\)
\(488\) 28.4710 + 17.5485i 1.28882 + 0.794383i
\(489\) 22.1299 4.40191i 1.00075 0.199061i
\(490\) −14.0207 9.12235i −0.633391 0.412106i
\(491\) 3.52201 6.58922i 0.158946 0.297367i −0.789824 0.613333i \(-0.789828\pi\)
0.948771 + 0.315965i \(0.102328\pi\)
\(492\) −9.91002 + 5.61281i −0.446778 + 0.253045i
\(493\) 0.807329 + 8.19695i 0.0363603 + 0.369172i
\(494\) −14.2906 + 1.58417i −0.642967 + 0.0712750i
\(495\) 17.1682 7.11132i 0.771655 0.319630i
\(496\) 10.4564 + 22.1182i 0.469504 + 0.993134i
\(497\) −14.9580 6.19582i −0.670959 0.277920i
\(498\) 7.08330 + 2.05446i 0.317410 + 0.0920624i
\(499\) 20.6329 + 16.9330i 0.923657 + 0.758025i 0.970556 0.240874i \(-0.0774341\pi\)
−0.0468996 + 0.998900i \(0.514934\pi\)
\(500\) −18.9143 57.2714i −0.845874 2.56125i
\(501\) 8.95419 2.71622i 0.400044 0.121352i
\(502\) −4.84711 + 26.0274i −0.216337 + 1.16166i
\(503\) −10.2486 + 15.3381i −0.456962 + 0.683892i −0.986383 0.164467i \(-0.947409\pi\)
0.529420 + 0.848360i \(0.322409\pi\)
\(504\) 2.90173 + 4.98030i 0.129253 + 0.221840i
\(505\) 8.17503 5.46238i 0.363784 0.243073i
\(506\) 19.8638 + 7.94473i 0.883056 + 0.353186i
\(507\) −0.400916 0.488517i −0.0178053 0.0216958i
\(508\) 6.20046 35.7155i 0.275101 1.58462i
\(509\) 13.9495 7.45616i 0.618300 0.330488i −0.132335 0.991205i \(-0.542247\pi\)
0.750635 + 0.660717i \(0.229747\pi\)
\(510\) 22.1170 + 26.2875i 0.979358 + 1.16403i
\(511\) 13.7503 0.608277
\(512\) 0.268725 + 22.6258i 0.0118761 + 0.999929i
\(513\) 2.75366 0.121577
\(514\) −2.46603 2.93104i −0.108772 0.129282i
\(515\) 8.89404 4.75397i 0.391918 0.209485i
\(516\) −1.22819 + 7.07453i −0.0540680 + 0.311439i
\(517\) 6.41608 + 7.81802i 0.282179 + 0.343836i
\(518\) 21.6552 + 8.66120i 0.951476 + 0.380551i
\(519\) 10.2809 6.86947i 0.451281 0.301536i
\(520\) 21.8407 + 37.4857i 0.957779 + 1.64386i
\(521\) 3.98005 5.95657i 0.174369 0.260962i −0.733983 0.679168i \(-0.762341\pi\)
0.908352 + 0.418206i \(0.137341\pi\)
\(522\) 0.364718 1.95842i 0.0159633 0.0857178i
\(523\) 14.4634 4.38742i 0.632440 0.191849i 0.0422424 0.999107i \(-0.486550\pi\)
0.590198 + 0.807259i \(0.299050\pi\)
\(524\) −3.05076 9.23751i −0.133273 0.403542i
\(525\) −19.3116 15.8486i −0.842828 0.691691i
\(526\) −5.54783 1.60911i −0.241897 0.0701604i
\(527\) 33.0414 + 13.6862i 1.43931 + 0.596180i
\(528\) 16.1756 7.64703i 0.703955 0.332794i
\(529\) −10.6822 + 4.42471i −0.464443 + 0.192379i
\(530\) −11.7072 + 1.29779i −0.508529 + 0.0563722i
\(531\) −1.16516 11.8301i −0.0505636 0.513381i
\(532\) 9.76565 5.53104i 0.423395 0.239801i
\(533\) −9.91120 + 18.5425i −0.429302 + 0.803167i
\(534\) −6.82080 4.43784i −0.295165 0.192044i
\(535\) 42.4259 8.43903i 1.83423 0.364851i
\(536\) −16.6675 10.2733i −0.719927 0.443737i
\(537\) −4.73234 + 23.7911i −0.204216 + 1.02666i
\(538\) 0.110993 + 9.07655i 0.00478523 + 0.391318i
\(539\) −1.24825 + 12.6737i −0.0537661 + 0.545896i
\(540\) −3.36640 7.59628i −0.144867 0.326892i
\(541\) 0.635635 2.09541i 0.0273281 0.0900886i −0.942216 0.335007i \(-0.891261\pi\)
0.969544 + 0.244919i \(0.0787612\pi\)
\(542\) −5.87076 18.5344i −0.252171 0.796119i
\(543\) 17.9969 + 17.9969i 0.772319 + 0.772319i
\(544\) 22.5071 + 24.2391i 0.964982 + 1.03924i
\(545\) −40.7918 + 40.7918i −1.74733 + 1.74733i
\(546\) 9.44492 + 4.90088i 0.404205 + 0.209738i
\(547\) −26.7264 8.10736i −1.14274 0.346646i −0.338507 0.940964i \(-0.609922\pi\)
−0.804230 + 0.594318i \(0.797422\pi\)
\(548\) −15.4337 14.6967i −0.659296 0.627812i
\(549\) −11.7675 1.15900i −0.502226 0.0494650i
\(550\) −54.1605 + 55.5015i −2.30941 + 2.36659i
\(551\) −3.80433 0.756728i −0.162070 0.0322377i
\(552\) 3.33403 8.96581i 0.141906 0.381610i
\(553\) 5.01319 + 25.2030i 0.213183 + 1.07174i
\(554\) −5.27341 + 1.11615i −0.224046 + 0.0474205i
\(555\) −29.6505 15.8485i −1.25859 0.672731i
\(556\) 1.82466 + 14.8046i 0.0773827 + 0.627857i
\(557\) −25.7889 + 2.53998i −1.09271 + 0.107623i −0.628280 0.777987i \(-0.716241\pi\)
−0.464430 + 0.885610i \(0.653741\pi\)
\(558\) −6.75296 5.40519i −0.285876 0.228820i
\(559\) 5.07264 + 12.2464i 0.214550 + 0.517970i
\(560\) −27.1967 20.1779i −1.14927 0.852671i
\(561\) 10.0091 24.1641i 0.422585 1.02021i
\(562\) −27.9651 + 15.3902i −1.17964 + 0.649197i
\(563\) −20.7743 + 25.3136i −0.875533 + 1.06684i 0.121705 + 0.992566i \(0.461164\pi\)
−0.997238 + 0.0742741i \(0.976336\pi\)
\(564\) 3.42443 2.95341i 0.144194 0.124361i
\(565\) 20.7244 + 68.3193i 0.871883 + 2.87421i
\(566\) −0.605411 + 0.415319i −0.0254473 + 0.0174572i
\(567\) −1.69443 1.13218i −0.0711594 0.0475472i
\(568\) 20.1930 + 9.85891i 0.847280 + 0.413671i
\(569\) −20.1851 30.2092i −0.846204 1.26643i −0.961969 0.273158i \(-0.911932\pi\)
0.115765 0.993277i \(-0.463068\pi\)
\(570\) −14.8700 + 6.37347i −0.622835 + 0.266955i
\(571\) 9.12441 7.48821i 0.381845 0.313372i −0.423817 0.905748i \(-0.639310\pi\)
0.805662 + 0.592376i \(0.201810\pi\)
\(572\) 17.6735 27.9042i 0.738968 1.16673i
\(573\) −7.98633 14.9414i −0.333634 0.624184i
\(574\) 1.40879 16.3511i 0.0588019 0.682481i
\(575\) 41.4596i 1.72899i
\(576\) −3.59501 7.14674i −0.149792 0.297781i
\(577\) 12.4652i 0.518933i 0.965752 + 0.259466i \(0.0835467\pi\)
−0.965752 + 0.259466i \(0.916453\pi\)
\(578\) 24.2215 + 2.08691i 1.00748 + 0.0868039i
\(579\) 4.62779 + 8.65799i 0.192325 + 0.359814i
\(580\) 2.56335 + 11.4198i 0.106437 + 0.474182i
\(581\) −8.21529 + 6.74211i −0.340828 + 0.279710i
\(582\) −6.59211 15.3801i −0.273252 0.637526i
\(583\) 4.98223 + 7.45644i 0.206343 + 0.308814i
\(584\) −19.0484 1.17278i −0.788228 0.0485302i
\(585\) −12.7536 8.52171i −0.527298 0.352329i
\(586\) 6.12203 + 8.92409i 0.252899 + 0.368651i
\(587\) 5.91284 + 19.4920i 0.244049 + 0.804522i 0.990311 + 0.138869i \(0.0443468\pi\)
−0.746262 + 0.665653i \(0.768153\pi\)
\(588\) 5.67868 + 0.419387i 0.234185 + 0.0172952i
\(589\) −10.6846 + 13.0192i −0.440251 + 0.536447i
\(590\) 33.6732 + 61.1865i 1.38630 + 2.51901i
\(591\) −3.82402 + 9.23200i −0.157299 + 0.379754i
\(592\) −29.2604 13.8454i −1.20260 0.569044i
\(593\) 7.18715 + 17.3513i 0.295141 + 0.712533i 0.999995 + 0.00318086i \(0.00101250\pi\)
−0.704854 + 0.709352i \(0.748987\pi\)
\(594\) −3.95297 + 4.93864i −0.162192 + 0.202635i
\(595\) −49.2655 + 4.85223i −2.01969 + 0.198922i
\(596\) −17.9758 14.0310i −0.736319 0.574733i
\(597\) 14.9154 + 7.97244i 0.610446 + 0.326290i
\(598\) −3.65660 17.2762i −0.149529 0.706474i
\(599\) 6.05846 + 30.4579i 0.247542 + 1.24448i 0.881899 + 0.471437i \(0.156265\pi\)
−0.634358 + 0.773040i \(0.718735\pi\)
\(600\) 25.4008 + 23.6024i 1.03698 + 0.963563i
\(601\) −8.78745 1.74793i −0.358448 0.0712997i 0.0125816 0.999921i \(-0.495995\pi\)
−0.371029 + 0.928621i \(0.620995\pi\)
\(602\) −7.40523 7.22631i −0.301815 0.294522i
\(603\) 6.88897 + 0.678504i 0.280541 + 0.0276308i
\(604\) −0.0218015 0.891290i −0.000887092 0.0362661i
\(605\) 35.8116 + 10.8633i 1.45595 + 0.441657i
\(606\) −1.54153 + 2.97082i −0.0626205 + 0.120681i
\(607\) −25.5155 + 25.5155i −1.03564 + 1.03564i −0.0363017 + 0.999341i \(0.511558\pi\)
−0.999341 + 0.0363017i \(0.988442\pi\)
\(608\) −14.0002 + 6.82926i −0.567782 + 0.276963i
\(609\) 2.02982 + 2.02982i 0.0822523 + 0.0822523i
\(610\) 66.2283 20.9778i 2.68151 0.849367i
\(611\) 2.42333 7.98865i 0.0980374 0.323186i
\(612\) −10.9106 4.20977i −0.441034 0.170170i
\(613\) 2.44954 24.8706i 0.0989359 1.00451i −0.809677 0.586875i \(-0.800358\pi\)
0.908613 0.417638i \(-0.137142\pi\)
\(614\) 0.811339 0.00992146i 0.0327430 0.000400398i
\(615\) −4.61535 + 23.2029i −0.186109 + 0.935632i
\(616\) −4.09911 + 25.4545i −0.165158 + 1.02559i
\(617\) 3.05533 0.607743i 0.123003 0.0244668i −0.133205 0.991089i \(-0.542527\pi\)
0.256208 + 0.966622i \(0.417527\pi\)
\(618\) −1.87224 + 2.87756i −0.0753124 + 0.115752i
\(619\) −6.90692 + 12.9219i −0.277612 + 0.519376i −0.981627 0.190809i \(-0.938889\pi\)
0.704015 + 0.710185i \(0.251389\pi\)
\(620\) 48.9771 + 13.5584i 1.96697 + 0.544520i
\(621\) 0.331490 + 3.36568i 0.0133023 + 0.135060i
\(622\) −3.84364 34.6732i −0.154116 1.39027i
\(623\) 10.8334 4.48734i 0.434031 0.179781i
\(624\) −12.6661 7.59480i −0.507050 0.304035i
\(625\) −59.1179 24.4874i −2.36472 0.979498i
\(626\) 11.5143 39.6988i 0.460205 1.58668i
\(627\) 9.52133 + 7.81395i 0.380245 + 0.312059i
\(628\) −19.2500 9.69174i −0.768157 0.386743i
\(629\) −45.2827 + 13.7363i −1.80554 + 0.547704i
\(630\) 11.7706 + 2.19204i 0.468950 + 0.0873330i
\(631\) −1.95435 + 2.92489i −0.0778014 + 0.116438i −0.868330 0.495988i \(-0.834806\pi\)
0.790528 + 0.612426i \(0.209806\pi\)
\(632\) −4.79521 35.3415i −0.190743 1.40581i
\(633\) −4.06205 + 2.71418i −0.161452 + 0.107879i
\(634\) −10.1395 + 25.3513i −0.402690 + 1.00683i
\(635\) −47.7685 58.2061i −1.89564 2.30984i
\(636\) 3.27848 2.30853i 0.130000 0.0915393i
\(637\) 9.27060 4.95524i 0.367314 0.196334i
\(638\) 6.81843 5.73669i 0.269944 0.227118i
\(639\) −7.94478 −0.314291
\(640\) 35.9548 + 30.2722i 1.42124 + 1.19661i
\(641\) −4.87386 −0.192506 −0.0962529 0.995357i \(-0.530686\pi\)
−0.0962529 + 0.995357i \(0.530686\pi\)
\(642\) −11.2677 + 9.48010i −0.444701 + 0.374150i
\(643\) −3.65896 + 1.95575i −0.144295 + 0.0771274i −0.541964 0.840401i \(-0.682319\pi\)
0.397669 + 0.917529i \(0.369819\pi\)
\(644\) 7.93596 + 11.2703i 0.312721 + 0.444112i
\(645\) 9.46199 + 11.5295i 0.372565 + 0.453972i
\(646\) −8.45612 + 21.1425i −0.332702 + 0.831839i
\(647\) −3.61547 + 2.41578i −0.142139 + 0.0949742i −0.624607 0.780940i \(-0.714741\pi\)
0.482468 + 0.875914i \(0.339741\pi\)
\(648\) 2.25074 + 1.71294i 0.0884175 + 0.0672907i
\(649\) 29.5410 44.2112i 1.15958 1.73544i
\(650\) 62.9285 + 11.7192i 2.46826 + 0.459666i
\(651\) 11.9276 3.61818i 0.467478 0.141808i
\(652\) 20.2931 40.3067i 0.794739 1.57853i
\(653\) −13.2734 10.8932i −0.519429 0.426285i 0.337801 0.941217i \(-0.390317\pi\)
−0.857231 + 0.514933i \(0.827817\pi\)
\(654\) 5.47036 18.8606i 0.213908 0.737507i
\(655\) −18.6693 7.73308i −0.729470 0.302156i
\(656\) −3.34622 + 22.5311i −0.130648 + 0.879692i
\(657\) 6.23376 2.58211i 0.243202 0.100738i
\(658\) 0.717957 + 6.47663i 0.0279889 + 0.252485i
\(659\) 0.600506 + 6.09704i 0.0233924 + 0.237507i 0.999770 + 0.0214368i \(0.00682406\pi\)
−0.976378 + 0.216070i \(0.930676\pi\)
\(660\) 9.91567 35.8184i 0.385967 1.39423i
\(661\) 19.7562 36.9612i 0.768426 1.43762i −0.126761 0.991933i \(-0.540458\pi\)
0.895187 0.445691i \(-0.147042\pi\)
\(662\) −7.63497 + 11.7347i −0.296742 + 0.456081i
\(663\) −21.1742 + 4.21181i −0.822338 + 0.163573i
\(664\) 11.9557 8.63921i 0.463973 0.335266i
\(665\) 4.54811 22.8649i 0.176368 0.886662i
\(666\) 11.4439 0.139942i 0.443444 0.00542266i
\(667\) 0.466945 4.74097i 0.0180802 0.183571i
\(668\) 6.73668 17.4596i 0.260650 0.675533i
\(669\) −2.71292 + 8.94331i −0.104888 + 0.345768i
\(670\) −38.7715 + 12.2809i −1.49787 + 0.474451i
\(671\) −37.3998 37.3998i −1.44380 1.44380i
\(672\) 11.4227 + 1.55395i 0.440642 + 0.0599449i
\(673\) 7.41492 7.41492i 0.285824 0.285824i −0.549602 0.835426i \(-0.685221\pi\)
0.835426 + 0.549602i \(0.185221\pi\)
\(674\) 14.8623 28.6425i 0.572476 1.10327i
\(675\) −11.7312 3.55861i −0.451533 0.136971i
\(676\) −1.26356 + 0.0309075i −0.0485983 + 0.00118875i
\(677\) 20.1170 + 1.98135i 0.773159 + 0.0761495i 0.476899 0.878958i \(-0.341761\pi\)
0.296260 + 0.955107i \(0.404261\pi\)
\(678\) −17.3939 16.9736i −0.668008 0.651868i
\(679\) 23.6493 + 4.70413i 0.907576 + 0.180528i
\(680\) 68.6617 2.51990i 2.63306 0.0966337i
\(681\) 0.231032 + 1.16148i 0.00885318 + 0.0445079i
\(682\) −8.01162 37.8522i −0.306781 1.44943i
\(683\) 25.3442 + 13.5468i 0.969769 + 0.518353i 0.878639 0.477486i \(-0.158452\pi\)
0.0911303 + 0.995839i \(0.470952\pi\)
\(684\) 3.38865 4.34137i 0.129568 0.165997i
\(685\) −44.0557 + 4.33911i −1.68328 + 0.165789i
\(686\) −17.7340 + 22.1559i −0.677085 + 0.845915i
\(687\) 1.95692 + 4.72443i 0.0746612 + 0.180248i
\(688\) 9.64218 + 10.6423i 0.367605 + 0.405733i
\(689\) 2.83271 6.83876i 0.107918 0.260536i
\(690\) −9.58010 17.4077i −0.364708 0.662700i
\(691\) −9.73426 + 11.8612i −0.370309 + 0.451222i −0.924509 0.381161i \(-0.875524\pi\)
0.554200 + 0.832384i \(0.313024\pi\)
\(692\) 1.82138 24.6623i 0.0692384 0.937519i
\(693\) −2.64608 8.72297i −0.100516 0.331358i
\(694\) 22.4918 + 32.7862i 0.853775 + 1.24455i
\(695\) 25.7630 + 17.2143i 0.977246 + 0.652975i
\(696\) −2.63879 2.98505i −0.100023 0.113148i
\(697\) 18.4992 + 27.6860i 0.700707 + 1.04868i
\(698\) 7.56806 + 17.6571i 0.286455 + 0.668331i
\(699\) 7.91222 6.49339i 0.299268 0.245603i
\(700\) −48.7516 + 10.9430i −1.84264 + 0.413608i
\(701\) 8.34904 + 15.6200i 0.315339 + 0.589958i 0.988797 0.149268i \(-0.0476917\pi\)
−0.673458 + 0.739226i \(0.735192\pi\)
\(702\) 5.20221 + 0.448218i 0.196345 + 0.0169169i
\(703\) 22.2845i 0.840476i
\(704\) 7.84959 34.9127i 0.295842 1.31582i
\(705\) 9.39328i 0.353772i
\(706\) −3.52341 + 40.8942i −0.132605 + 1.53908i
\(707\) −2.27352 4.25345i −0.0855045 0.159968i
\(708\) −20.0849 12.7211i −0.754838 0.478089i
\(709\) 3.71648 3.05004i 0.139575 0.114547i −0.562015 0.827127i \(-0.689974\pi\)
0.701590 + 0.712581i \(0.252474\pi\)
\(710\) 42.9025 18.3886i 1.61010 0.690111i
\(711\) 7.00552 + 10.4845i 0.262728 + 0.393200i
\(712\) −15.3903 + 5.29235i −0.576777 + 0.198339i
\(713\) −17.1991 11.4920i −0.644110 0.430381i
\(714\) 13.8962 9.53298i 0.520053 0.356763i
\(715\) −19.9165 65.6560i −0.744837 2.45540i
\(716\) 31.6850 + 36.7383i 1.18412 + 1.37297i
\(717\) 6.30568 7.68349i 0.235490 0.286945i
\(718\) 4.97858 2.73989i 0.185799 0.102252i
\(719\) 15.2736 36.8738i 0.569609 1.37516i −0.332275 0.943182i \(-0.607816\pi\)
0.901885 0.431977i \(-0.142184\pi\)
\(720\) −16.1189 4.04058i −0.600715 0.150584i
\(721\) −1.89312 4.57039i −0.0705034 0.170210i
\(722\) 12.6058 + 10.0899i 0.469140 + 0.375508i
\(723\) 26.2254 2.58298i 0.975335 0.0960621i
\(724\) 50.5205 6.22660i 1.87758 0.231410i
\(725\) 15.2293 + 8.14024i 0.565603 + 0.302321i
\(726\) −12.4632 + 2.63791i −0.462552 + 0.0979019i
\(727\) 0.300108 + 1.50874i 0.0111304 + 0.0559562i 0.985951 0.167033i \(-0.0534186\pi\)
−0.974821 + 0.222989i \(0.928419\pi\)
\(728\) 19.3496 8.85968i 0.717143 0.328361i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −27.6864 + 28.3719i −1.02472 + 1.05009i
\(731\) 20.8917 + 2.05765i 0.772706 + 0.0761049i
\(732\) −16.3084 + 17.1263i −0.602777 + 0.633005i
\(733\) −11.3351 3.43847i −0.418672 0.127003i 0.0739178 0.997264i \(-0.476450\pi\)
−0.492590 + 0.870262i \(0.663950\pi\)
\(734\) −27.9651 14.5108i −1.03221 0.535604i
\(735\) 8.36357 8.36357i 0.308495 0.308495i
\(736\) −10.0325 16.2897i −0.369803 0.600447i
\(737\) 21.8946 + 21.8946i 0.806500 + 0.806500i
\(738\) −2.43181 7.67739i −0.0895163 0.282609i
\(739\) −6.20938 + 20.4696i −0.228416 + 0.752986i 0.765558 + 0.643367i \(0.222463\pi\)
−0.993974 + 0.109619i \(0.965037\pi\)
\(740\) −61.4744 + 27.2433i −2.25984 + 1.00148i
\(741\) 0.996532 10.1180i 0.0366085 0.371692i
\(742\) 0.0706506 + 5.77753i 0.00259367 + 0.212100i
\(743\) 0.0475193 0.238896i 0.00174331 0.00876423i −0.979904 0.199470i \(-0.936078\pi\)
0.981647 + 0.190706i \(0.0610778\pi\)
\(744\) −16.8319 + 3.99498i −0.617089 + 0.146463i
\(745\) −46.4573 + 9.24093i −1.70206 + 0.338561i
\(746\) −4.57281 2.97522i −0.167422 0.108931i
\(747\) −2.45837 + 4.59928i −0.0899470 + 0.168279i
\(748\) −25.7796 45.5167i −0.942595 1.66425i
\(749\) −2.07983 21.1169i −0.0759953 0.771593i
\(750\) 42.3887 4.69893i 1.54782 0.171581i
\(751\) 26.8718 11.1307i 0.980566 0.406164i 0.165931 0.986137i \(-0.446937\pi\)
0.814635 + 0.579974i \(0.196937\pi\)
\(752\) −0.442189 9.03336i −0.0161250 0.329413i
\(753\) −17.2956 7.16406i −0.630286 0.261073i
\(754\) −7.06398 2.04885i −0.257255 0.0746148i
\(755\) −1.43157 1.17486i −0.0521001 0.0427575i
\(756\) −3.87015 + 1.27815i −0.140756 + 0.0464858i
\(757\) −29.4023 + 8.91909i −1.06865 + 0.324170i −0.775141 0.631788i \(-0.782321\pi\)
−0.293504 + 0.955958i \(0.594821\pi\)
\(758\) −1.02226 + 5.48923i −0.0371303 + 0.199378i
\(759\) −8.40447 + 12.5782i −0.305063 + 0.456559i
\(760\) −8.25071 + 31.2870i −0.299285 + 1.13490i
\(761\) −16.4303 + 10.9784i −0.595598 + 0.397966i −0.816513 0.577327i \(-0.804096\pi\)
0.220915 + 0.975293i \(0.429096\pi\)
\(762\) 23.7995 + 9.51881i 0.862164 + 0.344830i
\(763\) 17.9521 + 21.8747i 0.649910 + 0.791917i
\(764\) −33.3843 5.79575i −1.20780 0.209683i
\(765\) −21.4236 + 11.4511i −0.774571 + 0.414017i
\(766\) 18.1440 + 21.5653i 0.655568 + 0.779185i
\(767\) −43.8897 −1.58477
\(768\) −15.6915 3.12696i −0.566217 0.112835i
\(769\) −21.3929 −0.771446 −0.385723 0.922615i \(-0.626048\pi\)
−0.385723 + 0.922615i \(0.626048\pi\)
\(770\) 34.4788 + 40.9803i 1.24253 + 1.47683i
\(771\) 2.38871 1.27679i 0.0860273 0.0459826i
\(772\) 19.3450 + 3.35843i 0.696243 + 0.120873i
\(773\) −16.7261 20.3808i −0.601597 0.733048i 0.379794 0.925071i