Properties

Label 648.2.bb.b.347.70
Level $648$
Weight $2$
Character 648.347
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 347.70
Character \(\chi\) \(=\) 648.347
Dual form 648.2.bb.b.155.70

$q$-expansion

\(f(q)\) \(=\) \(q+(0.686404 - 1.23647i) q^{2} +(-1.64667 - 0.537094i) q^{3} +(-1.05770 - 1.69743i) q^{4} +(1.64663 + 1.08300i) q^{5} +(-1.79438 + 1.66739i) q^{6} +(3.20307 - 3.02194i) q^{7} +(-2.82483 + 0.142685i) q^{8} +(2.42306 + 1.76884i) q^{9} +O(q^{10})\) \(q+(0.686404 - 1.23647i) q^{2} +(-1.64667 - 0.537094i) q^{3} +(-1.05770 - 1.69743i) q^{4} +(1.64663 + 1.08300i) q^{5} +(-1.79438 + 1.66739i) q^{6} +(3.20307 - 3.02194i) q^{7} +(-2.82483 + 0.142685i) q^{8} +(2.42306 + 1.76884i) q^{9} +(2.46935 - 1.29262i) q^{10} +(0.555299 - 1.10569i) q^{11} +(0.830003 + 3.36320i) q^{12} +(5.40045 + 2.32953i) q^{13} +(-1.53793 - 6.03476i) q^{14} +(-2.12978 - 2.66774i) q^{15} +(-1.76255 + 3.59074i) q^{16} +(-0.839181 + 1.00010i) q^{17} +(3.85030 - 1.78190i) q^{18} +(0.869010 - 0.729186i) q^{19} +(0.0966894 - 3.94052i) q^{20} +(-6.89747 + 3.25579i) q^{21} +(-0.985990 - 1.44556i) q^{22} +(2.24693 - 2.38160i) q^{23} +(4.72820 + 1.28224i) q^{24} +(-0.441919 - 1.02448i) q^{25} +(6.58727 - 5.07848i) q^{26} +(-3.03995 - 4.21410i) q^{27} +(-8.51742 - 2.24069i) q^{28} +(-9.66022 - 1.12912i) q^{29} +(-4.76046 + 0.802249i) q^{30} +(0.734321 - 3.09834i) q^{31} +(3.23001 + 4.64403i) q^{32} +(-1.50825 + 1.52246i) q^{33} +(0.660569 + 1.72409i) q^{34} +(8.54702 - 1.50707i) q^{35} +(0.439611 - 5.98387i) q^{36} +(-4.78133 - 0.843077i) q^{37} +(-0.305122 - 1.57502i) q^{38} +(-7.64159 - 6.73651i) q^{39} +(-4.80596 - 2.82434i) q^{40} +(8.90955 - 6.63291i) q^{41} +(-0.708772 + 10.7633i) q^{42} +(0.456032 + 7.82977i) q^{43} +(-2.46417 + 0.226906i) q^{44} +(2.07422 + 5.53679i) q^{45} +(-1.40247 - 4.41299i) q^{46} +(-9.28431 + 2.20042i) q^{47} +(4.83090 - 4.96612i) q^{48} +(0.720517 - 12.3708i) q^{49} +(-1.57007 - 0.156792i) q^{50} +(1.91900 - 1.19611i) q^{51} +(-1.75784 - 11.6308i) q^{52} +(-3.53256 + 6.11857i) q^{53} +(-7.29724 + 0.866222i) q^{54} +(2.11183 - 1.21927i) q^{55} +(-8.61693 + 8.99348i) q^{56} +(-1.82262 + 0.733990i) q^{57} +(-8.02694 + 11.1695i) q^{58} +(2.88277 + 5.74007i) q^{59} +(-2.27565 + 6.43682i) q^{60} +(7.14027 + 2.13766i) q^{61} +(-3.32696 - 3.03468i) q^{62} +(13.1065 - 1.65664i) q^{63} +(7.95928 - 0.806119i) q^{64} +(6.36963 + 9.68455i) q^{65} +(0.847201 + 2.90993i) q^{66} +(6.40308 - 0.748412i) q^{67} +(2.58520 + 0.366651i) q^{68} +(-4.97909 + 2.71491i) q^{69} +(4.00327 - 11.6026i) q^{70} +(1.77527 - 0.646145i) q^{71} +(-7.09711 - 4.65092i) q^{72} +(-7.89894 - 2.87498i) q^{73} +(-4.32436 + 5.33326i) q^{74} +(0.177452 + 1.92434i) q^{75} +(-2.15689 - 0.703826i) q^{76} +(-1.56267 - 5.21968i) q^{77} +(-13.5747 + 4.82460i) q^{78} +(-5.76715 - 4.29349i) q^{79} +(-6.79104 + 4.00376i) q^{80} +(2.74244 + 8.57199i) q^{81} +(-2.08582 - 15.5692i) q^{82} +(-7.58701 - 5.64832i) q^{83} +(12.8219 + 8.26433i) q^{84} +(-2.46492 + 0.737950i) q^{85} +(9.99428 + 4.81052i) q^{86} +(15.3008 + 7.04774i) q^{87} +(-1.41086 + 3.20262i) q^{88} +(-4.69798 + 12.9076i) q^{89} +(8.26981 + 1.23578i) q^{90} +(24.3377 - 8.85819i) q^{91} +(-6.41918 - 1.29499i) q^{92} +(-2.87329 + 4.70756i) q^{93} +(-3.65204 + 12.9901i) q^{94} +(2.22064 - 0.259556i) q^{95} +(-2.82449 - 9.38202i) q^{96} +(9.18544 - 6.04136i) q^{97} +(-14.8015 - 9.38226i) q^{98} +(3.30131 - 1.69692i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.686404 1.23647i 0.485361 0.874314i
\(3\) −1.64667 0.537094i −0.950707 0.310091i
\(4\) −1.05770 1.69743i −0.528849 0.848716i
\(5\) 1.64663 + 1.08300i 0.736393 + 0.484333i 0.861467 0.507814i \(-0.169546\pi\)
−0.125074 + 0.992147i \(0.539917\pi\)
\(6\) −1.79438 + 1.66739i −0.732553 + 0.680710i
\(7\) 3.20307 3.02194i 1.21065 1.14219i 0.224823 0.974400i \(-0.427820\pi\)
0.985823 0.167786i \(-0.0536617\pi\)
\(8\) −2.82483 + 0.142685i −0.998727 + 0.0504466i
\(9\) 2.42306 + 1.76884i 0.807687 + 0.589612i
\(10\) 2.46935 1.29262i 0.780876 0.408762i
\(11\) 0.555299 1.10569i 0.167429 0.333378i −0.794234 0.607612i \(-0.792128\pi\)
0.961663 + 0.274233i \(0.0884241\pi\)
\(12\) 0.830003 + 3.36320i 0.239601 + 0.970871i
\(13\) 5.40045 + 2.32953i 1.49781 + 0.646094i 0.978079 0.208233i \(-0.0667713\pi\)
0.519735 + 0.854327i \(0.326031\pi\)
\(14\) −1.53793 6.03476i −0.411028 1.61286i
\(15\) −2.12978 2.66774i −0.549906 0.688808i
\(16\) −1.76255 + 3.59074i −0.440637 + 0.897685i
\(17\) −0.839181 + 1.00010i −0.203531 + 0.242559i −0.858149 0.513401i \(-0.828385\pi\)
0.654617 + 0.755960i \(0.272830\pi\)
\(18\) 3.85030 1.78190i 0.907526 0.419997i
\(19\) 0.869010 0.729186i 0.199365 0.167287i −0.537640 0.843174i \(-0.680684\pi\)
0.737005 + 0.675888i \(0.236240\pi\)
\(20\) 0.0966894 3.94052i 0.0216204 0.881128i
\(21\) −6.89747 + 3.25579i −1.50515 + 0.710473i
\(22\) −0.985990 1.44556i −0.210214 0.308194i
\(23\) 2.24693 2.38160i 0.468516 0.496598i −0.449423 0.893319i \(-0.648370\pi\)
0.917939 + 0.396721i \(0.129852\pi\)
\(24\) 4.72820 + 1.28224i 0.965139 + 0.261737i
\(25\) −0.441919 1.02448i −0.0883838 0.204897i
\(26\) 6.58727 5.07848i 1.29187 0.995971i
\(27\) −3.03995 4.21410i −0.585039 0.811005i
\(28\) −8.51742 2.24069i −1.60964 0.423450i
\(29\) −9.66022 1.12912i −1.79386 0.209672i −0.847060 0.531498i \(-0.821629\pi\)
−0.946799 + 0.321826i \(0.895703\pi\)
\(30\) −4.76046 + 0.802249i −0.869138 + 0.146470i
\(31\) 0.734321 3.09834i 0.131888 0.556479i −0.866472 0.499226i \(-0.833618\pi\)
0.998360 0.0572528i \(-0.0182341\pi\)
\(32\) 3.23001 + 4.64403i 0.570991 + 0.820956i
\(33\) −1.50825 + 1.52246i −0.262553 + 0.265027i
\(34\) 0.660569 + 1.72409i 0.113287 + 0.295679i
\(35\) 8.54702 1.50707i 1.44471 0.254741i
\(36\) 0.439611 5.98387i 0.0732685 0.997312i
\(37\) −4.78133 0.843077i −0.786045 0.138601i −0.233802 0.972284i \(-0.575117\pi\)
−0.552243 + 0.833683i \(0.686228\pi\)
\(38\) −0.305122 1.57502i −0.0494973 0.255502i
\(39\) −7.64159 6.73651i −1.22363 1.07871i
\(40\) −4.80596 2.82434i −0.759889 0.446568i
\(41\) 8.90955 6.63291i 1.39144 1.03589i 0.398510 0.917164i \(-0.369527\pi\)
0.992927 0.118723i \(-0.0378800\pi\)
\(42\) −0.708772 + 10.7633i −0.109366 + 1.66081i
\(43\) 0.456032 + 7.82977i 0.0695443 + 1.19403i 0.834892 + 0.550413i \(0.185530\pi\)
−0.765348 + 0.643616i \(0.777433\pi\)
\(44\) −2.46417 + 0.226906i −0.371488 + 0.0342073i
\(45\) 2.07422 + 5.53679i 0.309206 + 0.825376i
\(46\) −1.40247 4.41299i −0.206783 0.650660i
\(47\) −9.28431 + 2.20042i −1.35426 + 0.320965i −0.842745 0.538312i \(-0.819062\pi\)
−0.511511 + 0.859277i \(0.670914\pi\)
\(48\) 4.83090 4.96612i 0.697281 0.716798i
\(49\) 0.720517 12.3708i 0.102931 1.76726i
\(50\) −1.57007 0.156792i −0.222042 0.0221737i
\(51\) 1.91900 1.19611i 0.268714 0.167489i
\(52\) −1.75784 11.6308i −0.243768 1.61291i
\(53\) −3.53256 + 6.11857i −0.485234 + 0.840450i −0.999856 0.0169670i \(-0.994599\pi\)
0.514622 + 0.857417i \(0.327932\pi\)
\(54\) −7.29724 + 0.866222i −0.993028 + 0.117878i
\(55\) 2.11183 1.21927i 0.284760 0.164406i
\(56\) −8.61693 + 8.99348i −1.15149 + 1.20180i
\(57\) −1.82262 + 0.733990i −0.241411 + 0.0972194i
\(58\) −8.02694 + 11.1695i −1.05399 + 1.46663i
\(59\) 2.88277 + 5.74007i 0.375305 + 0.747294i 0.999421 0.0340381i \(-0.0108368\pi\)
−0.624115 + 0.781332i \(0.714540\pi\)
\(60\) −2.27565 + 6.43682i −0.293785 + 0.830990i
\(61\) 7.14027 + 2.13766i 0.914218 + 0.273699i 0.709157 0.705050i \(-0.249076\pi\)
0.205061 + 0.978749i \(0.434261\pi\)
\(62\) −3.32696 3.03468i −0.422524 0.385405i
\(63\) 13.1065 1.65664i 1.65127 0.208717i
\(64\) 7.95928 0.806119i 0.994910 0.100765i
\(65\) 6.36963 + 9.68455i 0.790055 + 1.20122i
\(66\) 0.847201 + 2.90993i 0.104283 + 0.358188i
\(67\) 6.40308 0.748412i 0.782260 0.0914331i 0.284418 0.958700i \(-0.408200\pi\)
0.497843 + 0.867267i \(0.334126\pi\)
\(68\) 2.58520 + 0.366651i 0.313501 + 0.0444630i
\(69\) −4.97909 + 2.71491i −0.599413 + 0.326836i
\(70\) 4.00327 11.6026i 0.478482 1.38677i
\(71\) 1.77527 0.646145i 0.210686 0.0766833i −0.234521 0.972111i \(-0.575352\pi\)
0.445207 + 0.895428i \(0.353130\pi\)
\(72\) −7.09711 4.65092i −0.836402 0.548116i
\(73\) −7.89894 2.87498i −0.924501 0.336491i −0.164473 0.986382i \(-0.552592\pi\)
−0.760028 + 0.649891i \(0.774815\pi\)
\(74\) −4.32436 + 5.33326i −0.502696 + 0.619978i
\(75\) 0.177452 + 1.92434i 0.0204904 + 0.222204i
\(76\) −2.15689 0.703826i −0.247413 0.0807344i
\(77\) −1.56267 5.21968i −0.178083 0.594838i
\(78\) −13.5747 + 4.82460i −1.53703 + 0.546279i
\(79\) −5.76715 4.29349i −0.648855 0.483055i 0.221707 0.975113i \(-0.428837\pi\)
−0.870562 + 0.492058i \(0.836245\pi\)
\(80\) −6.79104 + 4.00376i −0.759261 + 0.447634i
\(81\) 2.74244 + 8.57199i 0.304715 + 0.952443i
\(82\) −2.08582 15.5692i −0.230341 1.71933i
\(83\) −7.58701 5.64832i −0.832783 0.619984i 0.0940039 0.995572i \(-0.470033\pi\)
−0.926787 + 0.375588i \(0.877441\pi\)
\(84\) 12.8219 + 8.26433i 1.39899 + 0.901713i
\(85\) −2.46492 + 0.737950i −0.267359 + 0.0800419i
\(86\) 9.99428 + 4.81052i 1.07771 + 0.518732i
\(87\) 15.3008 + 7.04774i 1.64042 + 0.755597i
\(88\) −1.41086 + 3.20262i −0.150398 + 0.341400i
\(89\) −4.69798 + 12.9076i −0.497985 + 1.36820i 0.395233 + 0.918581i \(0.370664\pi\)
−0.893219 + 0.449623i \(0.851559\pi\)
\(90\) 8.26981 + 1.23578i 0.871714 + 0.130262i
\(91\) 24.3377 8.85819i 2.55128 0.928591i
\(92\) −6.41918 1.29499i −0.669245 0.135012i
\(93\) −2.87329 + 4.70756i −0.297946 + 0.488151i
\(94\) −3.65204 + 12.9901i −0.376679 + 1.33983i
\(95\) 2.22064 0.259556i 0.227833 0.0266299i
\(96\) −2.82449 9.38202i −0.288273 0.957548i
\(97\) 9.18544 6.04136i 0.932640 0.613407i 0.0103670 0.999946i \(-0.496700\pi\)
0.922273 + 0.386539i \(0.126330\pi\)
\(98\) −14.8015 9.38226i −1.49518 0.947752i
\(99\) 3.30131 1.69692i 0.331794 0.170547i
\(100\) −1.27157 + 1.83372i −0.127157 + 0.183372i
\(101\) −2.47318 + 8.26100i −0.246091 + 0.822001i 0.742300 + 0.670068i \(0.233735\pi\)
−0.988391 + 0.151933i \(0.951450\pi\)
\(102\) −0.161742 3.19380i −0.0160149 0.316233i
\(103\) −0.278938 0.555411i −0.0274846 0.0547263i 0.879471 0.475952i \(-0.157896\pi\)
−0.906956 + 0.421226i \(0.861600\pi\)
\(104\) −15.5877 5.80994i −1.52850 0.569712i
\(105\) −14.8836 2.10890i −1.45249 0.205808i
\(106\) 5.14064 + 8.56770i 0.499303 + 0.832169i
\(107\) 6.70415 3.87064i 0.648115 0.374189i −0.139619 0.990205i \(-0.544588\pi\)
0.787734 + 0.616016i \(0.211254\pi\)
\(108\) −3.93780 + 9.61737i −0.378915 + 0.925432i
\(109\) 14.7958 + 8.54238i 1.41718 + 0.818212i 0.996051 0.0887864i \(-0.0282989\pi\)
0.421134 + 0.906998i \(0.361632\pi\)
\(110\) −0.0580122 3.44812i −0.00553124 0.328766i
\(111\) 7.42046 + 3.95629i 0.704319 + 0.375515i
\(112\) 5.20544 + 16.8277i 0.491868 + 1.59007i
\(113\) 4.33414 + 0.252435i 0.407722 + 0.0237471i 0.260781 0.965398i \(-0.416020\pi\)
0.146941 + 0.989145i \(0.453057\pi\)
\(114\) −0.343497 + 2.75742i −0.0321715 + 0.258256i
\(115\) 6.27912 1.48818i 0.585531 0.138773i
\(116\) 8.30100 + 17.5918i 0.770729 + 1.63336i
\(117\) 8.96506 + 15.1971i 0.828820 + 1.40497i
\(118\) 9.07616 + 0.375558i 0.835528 + 0.0345729i
\(119\) 0.334278 + 5.73933i 0.0306432 + 0.526124i
\(120\) 6.39690 + 7.23202i 0.583954 + 0.660190i
\(121\) 5.65455 + 7.59538i 0.514050 + 0.690489i
\(122\) 7.54426 7.36141i 0.683025 0.666471i
\(123\) −18.2336 + 6.13697i −1.64407 + 0.553352i
\(124\) −6.03592 + 2.03065i −0.542041 + 0.182358i
\(125\) 2.09302 11.8701i 0.187205 1.06169i
\(126\) 6.94801 17.3429i 0.618978 1.54503i
\(127\) −3.91921 + 0.691063i −0.347774 + 0.0613219i −0.344807 0.938674i \(-0.612056\pi\)
−0.00296716 + 0.999996i \(0.500944\pi\)
\(128\) 4.46655 10.3947i 0.394791 0.918771i
\(129\) 3.45439 13.1380i 0.304142 1.15674i
\(130\) 16.3468 1.22832i 1.43371 0.107731i
\(131\) −3.02937 + 12.7819i −0.264677 + 1.11676i 0.664547 + 0.747246i \(0.268625\pi\)
−0.929225 + 0.369516i \(0.879524\pi\)
\(132\) 4.17955 + 0.949853i 0.363783 + 0.0826741i
\(133\) 0.579943 4.96173i 0.0502874 0.430236i
\(134\) 3.46971 8.43090i 0.299737 0.728319i
\(135\) −0.441780 10.2313i −0.0380223 0.880573i
\(136\) 2.22784 2.94484i 0.191036 0.252518i
\(137\) 0.352135 0.151896i 0.0300849 0.0129774i −0.380984 0.924582i \(-0.624415\pi\)
0.411069 + 0.911604i \(0.365155\pi\)
\(138\) −0.0607793 + 8.02001i −0.00517387 + 0.682708i
\(139\) 5.66696 6.00663i 0.480665 0.509476i −0.440976 0.897519i \(-0.645367\pi\)
0.921641 + 0.388044i \(0.126849\pi\)
\(140\) −11.5983 12.9140i −0.980237 1.09143i
\(141\) 16.4701 + 1.36317i 1.38703 + 0.114800i
\(142\) 0.419615 2.63858i 0.0352133 0.221424i
\(143\) 5.57459 4.67764i 0.466171 0.391164i
\(144\) −10.6222 + 5.58292i −0.885183 + 0.465244i
\(145\) −14.6839 12.3213i −1.21943 1.02323i
\(146\) −8.97668 + 7.79338i −0.742915 + 0.644984i
\(147\) −7.83074 + 19.9837i −0.645868 + 1.64822i
\(148\) 3.62614 + 9.00769i 0.298067 + 0.740428i
\(149\) −4.24306 + 9.83651i −0.347605 + 0.805839i 0.651290 + 0.758829i \(0.274228\pi\)
−0.998894 + 0.0470093i \(0.985031\pi\)
\(150\) 2.50119 + 1.10146i 0.204221 + 0.0899340i
\(151\) 2.23997 4.46016i 0.182287 0.362962i −0.783867 0.620928i \(-0.786756\pi\)
0.966154 + 0.257966i \(0.0830522\pi\)
\(152\) −2.35076 + 2.18382i −0.190672 + 0.177131i
\(153\) −3.80239 + 0.938921i −0.307405 + 0.0759073i
\(154\) −7.52658 1.65062i −0.606509 0.133011i
\(155\) 4.56466 4.30654i 0.366643 0.345909i
\(156\) −3.35227 + 20.0963i −0.268396 + 1.60899i
\(157\) −5.80874 + 8.83176i −0.463588 + 0.704851i −0.989314 0.145803i \(-0.953423\pi\)
0.525726 + 0.850654i \(0.323794\pi\)
\(158\) −9.26735 + 4.18382i −0.737271 + 0.332847i
\(159\) 9.10321 8.17796i 0.721932 0.648555i
\(160\) 0.289122 + 11.1451i 0.0228571 + 0.881097i
\(161\) 14.4185i 1.13634i
\(162\) 12.4814 + 2.49292i 0.980631 + 0.195862i
\(163\) −20.5674 −1.61096 −0.805481 0.592621i \(-0.798093\pi\)
−0.805481 + 0.592621i \(0.798093\pi\)
\(164\) −20.6825 8.10772i −1.61503 0.633107i
\(165\) −4.13236 + 0.873481i −0.321704 + 0.0680004i
\(166\) −12.1917 + 5.50405i −0.946261 + 0.427198i
\(167\) 9.21730 + 6.06231i 0.713256 + 0.469116i 0.853561 0.520992i \(-0.174438\pi\)
−0.140305 + 0.990108i \(0.544808\pi\)
\(168\) 19.0196 10.1812i 1.46739 0.785498i
\(169\) 14.8170 + 15.7051i 1.13977 + 1.20808i
\(170\) −0.779484 + 3.55433i −0.0597837 + 0.272605i
\(171\) 3.39547 0.229725i 0.259658 0.0175675i
\(172\) 12.8082 9.05563i 0.976613 0.690485i
\(173\) −1.18558 0.595421i −0.0901380 0.0452690i 0.403159 0.915130i \(-0.367912\pi\)
−0.493297 + 0.869861i \(0.664208\pi\)
\(174\) 19.2168 14.0813i 1.45682 1.06750i
\(175\) −4.51142 1.94604i −0.341031 0.147107i
\(176\) 2.99151 + 3.94277i 0.225493 + 0.297197i
\(177\) −1.66402 11.0003i −0.125076 0.826836i
\(178\) 12.7351 + 14.6687i 0.954536 + 1.09947i
\(179\) −6.16799 + 7.35072i −0.461017 + 0.549419i −0.945602 0.325325i \(-0.894526\pi\)
0.484585 + 0.874744i \(0.338971\pi\)
\(180\) 7.20442 9.37710i 0.536986 0.698927i
\(181\) −13.6546 16.2729i −1.01494 1.20955i −0.977648 0.210249i \(-0.932573\pi\)
−0.0372877 0.999305i \(-0.511872\pi\)
\(182\) 5.75263 36.1730i 0.426413 2.68132i
\(183\) −10.6096 7.35502i −0.784282 0.543699i
\(184\) −6.00736 + 7.04821i −0.442868 + 0.519601i
\(185\) −6.96000 6.56642i −0.511709 0.482773i
\(186\) 3.84850 + 6.78401i 0.282186 + 0.497428i
\(187\) 0.639802 + 1.48323i 0.0467869 + 0.108464i
\(188\) 13.5551 + 13.4321i 0.988605 + 0.979637i
\(189\) −22.4719 4.31151i −1.63459 0.313616i
\(190\) 1.20333 2.92391i 0.0872985 0.212123i
\(191\) −6.66022 0.778469i −0.481917 0.0563280i −0.128334 0.991731i \(-0.540963\pi\)
−0.353583 + 0.935403i \(0.615037\pi\)
\(192\) −13.5393 2.94747i −0.977114 0.212715i
\(193\) 21.2814 + 5.04379i 1.53187 + 0.363060i 0.908169 0.418604i \(-0.137480\pi\)
0.623700 + 0.781664i \(0.285629\pi\)
\(194\) −1.16501 15.5043i −0.0836430 1.11314i
\(195\) −5.28718 19.3684i −0.378623 1.38700i
\(196\) −21.7607 + 11.8615i −1.55433 + 0.847253i
\(197\) −2.19588 12.4534i −0.156450 0.887271i −0.957448 0.288605i \(-0.906809\pi\)
0.800998 0.598666i \(-0.204303\pi\)
\(198\) 0.167844 5.24673i 0.0119282 0.372869i
\(199\) −11.6997 2.06297i −0.829370 0.146240i −0.257182 0.966363i \(-0.582794\pi\)
−0.572188 + 0.820123i \(0.693905\pi\)
\(200\) 1.39452 + 2.83093i 0.0986076 + 0.200177i
\(201\) −10.9457 2.20667i −0.772053 0.155646i
\(202\) 8.51685 + 8.72839i 0.599244 + 0.614128i
\(203\) −34.3545 + 25.5760i −2.41121 + 1.79508i
\(204\) −4.06005 1.99225i −0.284260 0.139485i
\(205\) 21.8541 1.27286i 1.52636 0.0889003i
\(206\) −0.878211 0.0363391i −0.0611879 0.00253186i
\(207\) 9.65710 1.79632i 0.671215 0.124853i
\(208\) −17.8833 + 15.2857i −1.23998 + 1.05987i
\(209\) −0.323694 1.36577i −0.0223904 0.0944724i
\(210\) −12.8237 + 16.9555i −0.884922 + 1.17004i
\(211\) 0.696464 11.9578i 0.0479465 0.823210i −0.885532 0.464578i \(-0.846206\pi\)
0.933479 0.358633i \(-0.116757\pi\)
\(212\) 14.1222 0.475327i 0.969919 0.0326456i
\(213\) −3.27033 + 0.110503i −0.224079 + 0.00757152i
\(214\) −0.184163 10.9463i −0.0125891 0.748273i
\(215\) −7.72875 + 13.3866i −0.527096 + 0.912958i
\(216\) 9.18863 + 11.4704i 0.625207 + 0.780459i
\(217\) −7.01092 12.1433i −0.475933 0.824339i
\(218\) 20.7183 12.4310i 1.40322 0.841936i
\(219\) 11.4628 + 8.97662i 0.774586 + 0.606584i
\(220\) −4.30331 2.29508i −0.290129 0.154734i
\(221\) −6.86171 + 3.44608i −0.461568 + 0.231808i
\(222\) 9.98526 6.45954i 0.670167 0.433536i
\(223\) −17.3386 5.19085i −1.16108 0.347605i −0.352399 0.935850i \(-0.614634\pi\)
−0.808683 + 0.588245i \(0.799819\pi\)
\(224\) 24.3799 + 5.11425i 1.62895 + 0.341710i
\(225\) 0.741347 3.26407i 0.0494231 0.217604i
\(226\) 3.28710 5.18575i 0.218655 0.344951i
\(227\) 2.88735 + 4.39000i 0.191640 + 0.291375i 0.918508 0.395403i \(-0.129395\pi\)
−0.726868 + 0.686778i \(0.759025\pi\)
\(228\) 3.17368 + 2.31743i 0.210182 + 0.153475i
\(229\) 0.942800 + 8.06617i 0.0623020 + 0.533028i 0.987965 + 0.154678i \(0.0494341\pi\)
−0.925663 + 0.378349i \(0.876492\pi\)
\(230\) 2.46993 8.78542i 0.162863 0.579293i
\(231\) −0.230255 + 9.43440i −0.0151496 + 0.620738i
\(232\) 27.4496 + 1.81120i 1.80215 + 0.118911i
\(233\) 5.17000 + 14.2044i 0.338698 + 0.930564i 0.985765 + 0.168131i \(0.0537732\pi\)
−0.647067 + 0.762433i \(0.724005\pi\)
\(234\) 24.9443 0.653650i 1.63066 0.0427304i
\(235\) −17.6708 6.43166i −1.15272 0.419555i
\(236\) 6.69428 10.9646i 0.435760 0.713733i
\(237\) 7.19061 + 10.1675i 0.467080 + 0.660448i
\(238\) 7.32594 + 3.52618i 0.474870 + 0.228568i
\(239\) 3.56421 + 11.9053i 0.230550 + 0.770090i 0.992477 + 0.122428i \(0.0390680\pi\)
−0.761928 + 0.647662i \(0.775747\pi\)
\(240\) 13.3330 2.94546i 0.860642 0.190129i
\(241\) −12.7328 + 17.1031i −0.820192 + 1.10171i 0.172966 + 0.984928i \(0.444665\pi\)
−0.993158 + 0.116781i \(0.962742\pi\)
\(242\) 13.2727 1.77816i 0.853204 0.114305i
\(243\) 0.0880697 15.5882i 0.00564967 0.999984i
\(244\) −3.92373 14.3811i −0.251191 0.920657i
\(245\) 14.5840 19.5897i 0.931739 1.25154i
\(246\) −4.92747 + 26.7577i −0.314164 + 1.70601i
\(247\) 6.39170 1.91355i 0.406694 0.121756i
\(248\) −1.63224 + 8.85706i −0.103647 + 0.562424i
\(249\) 9.45964 + 13.3759i 0.599481 + 0.847662i
\(250\) −13.2403 10.7356i −0.837392 0.678981i
\(251\) 1.16070 3.18900i 0.0732628 0.201288i −0.897656 0.440697i \(-0.854731\pi\)
0.970919 + 0.239409i \(0.0769536\pi\)
\(252\) −16.6748 20.4952i −1.05041 1.29108i
\(253\) −1.38560 3.80690i −0.0871119 0.239338i
\(254\) −1.83569 + 5.32033i −0.115181 + 0.333827i
\(255\) 4.45527 + 0.108735i 0.279000 + 0.00680923i
\(256\) −9.78685 12.6577i −0.611678 0.791107i
\(257\) −0.0317719 0.271826i −0.00198188 0.0169560i 0.992211 0.124567i \(-0.0397541\pi\)
−0.994193 + 0.107611i \(0.965680\pi\)
\(258\) −13.8736 13.2892i −0.863732 0.827351i
\(259\) −17.8626 + 11.7484i −1.10993 + 0.730013i
\(260\) 9.70172 21.0553i 0.601675 1.30580i
\(261\) −21.4101 19.8233i −1.32525 1.22703i
\(262\) 13.7250 + 12.5193i 0.847936 + 0.773444i
\(263\) −5.98075 + 19.9771i −0.368789 + 1.23184i 0.549354 + 0.835590i \(0.314874\pi\)
−0.918143 + 0.396250i \(0.870311\pi\)
\(264\) 4.04332 4.51590i 0.248849 0.277934i
\(265\) −12.4432 + 6.24922i −0.764381 + 0.383887i
\(266\) −5.73693 4.12283i −0.351754 0.252787i
\(267\) 14.6686 18.7313i 0.897706 1.14634i
\(268\) −8.04290 10.0772i −0.491299 0.615562i
\(269\) 0.511908 + 0.886650i 0.0312116 + 0.0540600i 0.881209 0.472726i \(-0.156730\pi\)
−0.849998 + 0.526786i \(0.823397\pi\)
\(270\) −12.9539 6.47658i −0.788351 0.394152i
\(271\) 21.7073 + 12.5327i 1.31862 + 0.761307i 0.983507 0.180870i \(-0.0578913\pi\)
0.335115 + 0.942177i \(0.391225\pi\)
\(272\) −2.11199 4.77600i −0.128058 0.289588i
\(273\) −44.8339 + 1.51491i −2.71347 + 0.0916868i
\(274\) 0.0538924 0.539666i 0.00325576 0.0326024i
\(275\) −1.37816 0.0802685i −0.0831060 0.00484038i
\(276\) 9.87475 + 5.58012i 0.594390 + 0.335884i
\(277\) 2.17824 + 9.19073i 0.130878 + 0.552217i 0.998488 + 0.0549719i \(0.0175069\pi\)
−0.867610 + 0.497245i \(0.834345\pi\)
\(278\) −3.53717 11.1300i −0.212145 0.667532i
\(279\) 7.25976 6.20858i 0.434631 0.371698i
\(280\) −23.9288 + 5.47674i −1.43002 + 0.327298i
\(281\) 3.20926 0.186918i 0.191448 0.0111506i 0.0378471 0.999284i \(-0.487950\pi\)
0.153601 + 0.988133i \(0.450913\pi\)
\(282\) 12.9906 19.4290i 0.773581 1.15698i
\(283\) −11.3049 15.1851i −0.672005 0.902660i 0.327098 0.944990i \(-0.393929\pi\)
−0.999104 + 0.0423306i \(0.986522\pi\)
\(284\) −2.97449 2.32997i −0.176503 0.138258i
\(285\) −3.79608 0.765291i −0.224860 0.0453319i
\(286\) −1.95732 10.1036i −0.115739 0.597435i
\(287\) 8.49363 48.1698i 0.501363 2.84337i
\(288\) −0.388018 + 16.9661i −0.0228642 + 0.999739i
\(289\) 2.65605 + 15.0632i 0.156238 + 0.886071i
\(290\) −25.3140 + 9.69881i −1.48649 + 0.569534i
\(291\) −18.3702 + 5.01469i −1.07688 + 0.293966i
\(292\) 3.47462 + 16.4488i 0.203337 + 0.962591i
\(293\) −3.36762 0.798140i −0.196738 0.0466278i 0.131065 0.991374i \(-0.458160\pi\)
−0.327804 + 0.944746i \(0.606308\pi\)
\(294\) 19.3341 + 23.3993i 1.12759 + 1.36468i
\(295\) −1.46967 + 12.5738i −0.0855673 + 0.732075i
\(296\) 13.6267 + 1.69932i 0.792036 + 0.0987711i
\(297\) −6.34758 + 1.02116i −0.368324 + 0.0592538i
\(298\) 9.25007 + 11.9982i 0.535842 + 0.695038i
\(299\) 17.6824 7.62745i 1.02260 0.441107i
\(300\) 3.07874 2.33658i 0.177751 0.134903i
\(301\) 25.1218 + 23.7012i 1.44800 + 1.36611i
\(302\) −3.97731 5.83112i −0.228868 0.335543i
\(303\) 8.50946 12.2748i 0.488856 0.705171i
\(304\) 1.08665 + 4.40561i 0.0623235 + 0.252679i
\(305\) 9.44227 + 11.2529i 0.540663 + 0.644337i
\(306\) −1.44903 + 5.34601i −0.0828358 + 0.305611i
\(307\) 14.5105 + 12.1758i 0.828159 + 0.694908i 0.954868 0.297032i \(-0.0959967\pi\)
−0.126708 + 0.991940i \(0.540441\pi\)
\(308\) −7.20722 + 8.17337i −0.410669 + 0.465721i
\(309\) 0.161011 + 1.06440i 0.00915961 + 0.0605513i
\(310\) −2.19169 8.60008i −0.124479 0.488452i
\(311\) −10.7230 + 24.8588i −0.608048 + 1.40961i 0.284507 + 0.958674i \(0.408170\pi\)
−0.892555 + 0.450939i \(0.851089\pi\)
\(312\) 22.5474 + 17.9391i 1.27649 + 1.01560i
\(313\) 29.1701 + 14.6498i 1.64879 + 0.828055i 0.997607 + 0.0691369i \(0.0220245\pi\)
0.651186 + 0.758918i \(0.274272\pi\)
\(314\) 6.93303 + 13.2445i 0.391253 + 0.747428i
\(315\) 23.3757 + 11.4666i 1.31707 + 0.646067i
\(316\) −1.18799 + 14.3306i −0.0668296 + 0.806157i
\(317\) −24.0084 25.4474i −1.34845 1.42927i −0.809756 0.586767i \(-0.800400\pi\)
−0.538691 0.842503i \(-0.681081\pi\)
\(318\) −3.86329 16.8692i −0.216643 0.945978i
\(319\) −6.61276 + 10.0542i −0.370244 + 0.562928i
\(320\) 13.9790 + 7.29255i 0.781449 + 0.407666i
\(321\) −13.1184 + 2.77292i −0.732200 + 0.154769i
\(322\) −17.8280 9.89692i −0.993515 0.551534i
\(323\) 1.48101i 0.0824058i
\(324\) 11.6497 13.7217i 0.647205 0.762316i
\(325\) 6.56213i 0.364001i
\(326\) −14.1175 + 25.4309i −0.781898 + 1.40849i
\(327\) −19.7758 22.0133i −1.09361 1.21734i
\(328\) −24.2215 + 20.0081i −1.33741 + 1.10476i
\(329\) −23.0887 + 35.1047i −1.27292 + 1.93539i
\(330\) −1.75644 + 5.70909i −0.0966888 + 0.314275i
\(331\) −16.9785 17.9961i −0.933221 0.989156i 0.0667422 0.997770i \(-0.478739\pi\)
−0.999963 + 0.00861415i \(0.997258\pi\)
\(332\) −1.56287 + 18.8527i −0.0857735 + 1.03467i
\(333\) −10.0942 10.5002i −0.553157 0.575408i
\(334\) 13.8226 7.23568i 0.756341 0.395919i
\(335\) 11.3540 + 5.70219i 0.620335 + 0.311544i
\(336\) 0.466401 30.5055i 0.0254443 1.66421i
\(337\) 6.16343 14.2884i 0.335744 0.778341i −0.663793 0.747916i \(-0.731055\pi\)
0.999537 0.0304251i \(-0.00968612\pi\)
\(338\) 29.5893 7.54068i 1.60945 0.410159i
\(339\) −7.00133 2.74352i −0.380260 0.149008i
\(340\) 3.85977 + 3.40351i 0.209325 + 0.184581i
\(341\) −3.01804 2.53244i −0.163436 0.137139i
\(342\) 2.04662 4.35607i 0.110669 0.235549i
\(343\) −15.2618 18.1884i −0.824062 0.982079i
\(344\) −2.40540 22.0527i −0.129691 1.18900i
\(345\) −11.1390 0.921936i −0.599701 0.0496354i
\(346\) −1.55001 + 1.05723i −0.0833288 + 0.0568371i
\(347\) 12.0746 + 11.3918i 0.648196 + 0.611542i 0.938453 0.345407i \(-0.112259\pi\)
−0.290257 + 0.956949i \(0.593741\pi\)
\(348\) −4.22056 33.4264i −0.226246 1.79184i
\(349\) −11.2438 + 4.85012i −0.601869 + 0.259621i −0.675138 0.737691i \(-0.735916\pi\)
0.0732694 + 0.997312i \(0.476657\pi\)
\(350\) −5.50287 + 4.24245i −0.294141 + 0.226769i
\(351\) −6.60025 29.8397i −0.352295 1.59273i
\(352\) 6.92848 0.992569i 0.369289 0.0529041i
\(353\) 1.88233 16.1044i 0.100186 0.857150i −0.845923 0.533304i \(-0.820950\pi\)
0.946110 0.323846i \(-0.104976\pi\)
\(354\) −14.7437 5.49317i −0.783621 0.291959i
\(355\) 3.62298 + 0.858662i 0.192288 + 0.0455730i
\(356\) 26.8788 5.67785i 1.42457 0.300925i
\(357\) 2.53212 9.63034i 0.134014 0.509692i
\(358\) 4.85519 + 12.6721i 0.256605 + 0.669740i
\(359\) 3.47589 + 19.7128i 0.183451 + 1.04040i 0.927930 + 0.372754i \(0.121587\pi\)
−0.744480 + 0.667645i \(0.767302\pi\)
\(360\) −6.64932 15.3445i −0.350450 0.808727i
\(361\) −3.07585 + 17.4440i −0.161887 + 0.918106i
\(362\) −29.4934 + 5.71364i −1.55014 + 0.300302i
\(363\) −5.23176 15.5441i −0.274596 0.815855i
\(364\) −40.7781 31.9423i −2.13735 1.67423i
\(365\) −9.89298 13.2886i −0.517822 0.695556i
\(366\) −16.3767 + 8.06986i −0.856023 + 0.421818i
\(367\) −16.0115 + 0.932562i −0.835792 + 0.0486793i −0.470701 0.882293i \(-0.655999\pi\)
−0.365091 + 0.930972i \(0.618962\pi\)
\(368\) 4.59140 + 12.2658i 0.239343 + 0.639400i
\(369\) 33.3209 0.312414i 1.73462 0.0162636i
\(370\) −12.8965 + 4.09858i −0.670458 + 0.213075i
\(371\) 7.17492 + 30.2734i 0.372503 + 1.57172i
\(372\) 11.0298 0.101967i 0.571870 0.00528673i
\(373\) 13.9739 + 0.813888i 0.723542 + 0.0421415i 0.415964 0.909381i \(-0.363444\pi\)
0.307578 + 0.951523i \(0.400481\pi\)
\(374\) 2.27312 + 0.227000i 0.117540 + 0.0117379i
\(375\) −9.82188 + 18.4220i −0.507200 + 0.951309i
\(376\) 25.9126 7.54054i 1.33634 0.388874i
\(377\) −49.5392 28.6015i −2.55140 1.47305i
\(378\) −20.7559 + 24.8264i −1.06757 + 1.27693i
\(379\) −2.98608 5.17205i −0.153385 0.265670i 0.779085 0.626918i \(-0.215684\pi\)
−0.932470 + 0.361248i \(0.882351\pi\)
\(380\) −2.78935 3.49486i −0.143091 0.179282i
\(381\) 6.82483 + 0.967032i 0.349647 + 0.0495426i
\(382\) −5.53416 + 7.70080i −0.283152 + 0.394007i
\(383\) −2.10957 + 1.05947i −0.107794 + 0.0541361i −0.501879 0.864938i \(-0.667358\pi\)
0.394085 + 0.919074i \(0.371061\pi\)
\(384\) −12.9379 + 14.7177i −0.660233 + 0.751061i
\(385\) 3.07979 10.2872i 0.156961 0.524286i
\(386\) 20.8441 22.8517i 1.06094 1.16312i
\(387\) −12.7446 + 19.7787i −0.647844 + 1.00541i
\(388\) −19.9702 9.20172i −1.01383 0.467146i
\(389\) 7.65097 5.03212i 0.387919 0.255139i −0.340537 0.940231i \(-0.610609\pi\)
0.728456 + 0.685093i \(0.240238\pi\)
\(390\) −27.5775 6.75712i −1.39644 0.342160i
\(391\) 0.496256 + 4.24574i 0.0250967 + 0.214716i
\(392\) −0.270212 + 35.0482i −0.0136478 + 1.77020i
\(393\) 11.8535 19.4206i 0.597929 0.979639i
\(394\) −16.9055 5.83297i −0.851688 0.293861i
\(395\) −4.84648 13.3156i −0.243853 0.669981i
\(396\) −6.37220 3.80891i −0.320215 0.191405i
\(397\) 6.03023 16.5679i 0.302648 0.831520i −0.691389 0.722483i \(-0.743001\pi\)
0.994038 0.109037i \(-0.0347768\pi\)
\(398\) −10.5815 + 13.0502i −0.530404 + 0.654150i
\(399\) −3.61989 + 7.85886i −0.181221 + 0.393435i
\(400\) 4.45756 + 0.218884i 0.222878 + 0.0109442i
\(401\) 7.47010 2.23640i 0.373039 0.111681i −0.0947952 0.995497i \(-0.530220\pi\)
0.467834 + 0.883816i \(0.345034\pi\)
\(402\) −10.2417 + 12.0194i −0.510808 + 0.599472i
\(403\) 11.1833 15.0218i 0.557081 0.748290i
\(404\) 16.6384 4.53959i 0.827790 0.225853i
\(405\) −4.76772 + 17.0849i −0.236910 + 0.848957i
\(406\) 8.04276 + 60.0336i 0.399156 + 2.97942i
\(407\) −3.58724 + 4.81851i −0.177813 + 0.238844i
\(408\) −5.25018 + 3.65262i −0.259923 + 0.180832i
\(409\) −8.29047 27.6921i −0.409937 1.36929i −0.875049 0.484034i \(-0.839171\pi\)
0.465112 0.885252i \(-0.346014\pi\)
\(410\) 13.4269 27.8956i 0.663109 1.37767i
\(411\) −0.661434 + 0.0609937i −0.0326261 + 0.00300860i
\(412\) −0.647740 + 1.06093i −0.0319118 + 0.0522685i
\(413\) 26.5799 + 9.67428i 1.30791 + 0.476040i
\(414\) 4.40758 13.1737i 0.216621 0.647451i
\(415\) −6.37582 17.5174i −0.312977 0.859896i
\(416\) 6.62512 + 32.6042i 0.324823 + 1.59855i
\(417\) −12.5578 + 6.84726i −0.614956 + 0.335312i
\(418\) −1.91092 0.537235i −0.0934659 0.0262770i
\(419\) −0.803910 6.87789i −0.0392736 0.336007i −0.998563 0.0535833i \(-0.982936\pi\)
0.959290 0.282424i \(-0.0911384\pi\)
\(420\) 12.1626 + 27.4944i 0.593475 + 1.34159i
\(421\) 11.8348 + 17.9939i 0.576793 + 0.876971i 0.999572 0.0292619i \(-0.00931570\pi\)
−0.422779 + 0.906233i \(0.638945\pi\)
\(422\) −14.3074 9.06905i −0.696473 0.441475i
\(423\) −26.3886 11.0907i −1.28306 0.539247i
\(424\) 9.10584 17.7879i 0.442218 0.863859i
\(425\) 1.39543 + 0.417765i 0.0676884 + 0.0202646i
\(426\) −2.10813 + 4.11950i −0.102139 + 0.199590i
\(427\) 29.3307 14.7304i 1.41941 0.712854i
\(428\) −13.6611 7.28586i −0.660335 0.352176i
\(429\) −11.6919 + 4.70846i −0.564489 + 0.227327i
\(430\) 11.2470 + 18.7450i 0.542379 + 0.903962i
\(431\) −0.808543 1.40044i −0.0389462 0.0674567i 0.845895 0.533349i \(-0.179067\pi\)
−0.884841 + 0.465892i \(0.845733\pi\)
\(432\) 20.4898 3.48813i 0.985817 0.167823i
\(433\) 14.8327 25.6910i 0.712813 1.23463i −0.250984 0.967991i \(-0.580754\pi\)
0.963797 0.266637i \(-0.0859125\pi\)
\(434\) −19.8271 + 0.333576i −0.951730 + 0.0160122i
\(435\) 17.5619 + 28.1758i 0.842030 + 1.35092i
\(436\) −1.14943 34.1502i −0.0550477 1.63550i
\(437\) 0.215970 3.70806i 0.0103312 0.177381i
\(438\) 18.9674 8.01181i 0.906299 0.382819i
\(439\) −0.844541 3.56340i −0.0403077 0.170072i 0.949168 0.314769i \(-0.101927\pi\)
−0.989476 + 0.144698i \(0.953779\pi\)
\(440\) −5.79159 + 3.74555i −0.276103 + 0.178562i
\(441\) 23.6278 28.7007i 1.12513 1.36670i
\(442\) −0.448944 + 10.8497i −0.0213541 + 0.516066i
\(443\) 19.1492 1.11532i 0.909807 0.0529902i 0.403146 0.915136i \(-0.367917\pi\)
0.506661 + 0.862145i \(0.330880\pi\)
\(444\) −1.13308 16.7803i −0.0537735 0.796358i
\(445\) −21.7148 + 16.1661i −1.02938 + 0.766345i
\(446\) −18.3196 + 17.8756i −0.867460 + 0.846436i
\(447\) 12.2701 13.9186i 0.580354 0.658327i
\(448\) 23.0581 26.6345i 1.08939 1.25836i
\(449\) 9.66278 + 1.70381i 0.456015 + 0.0804077i 0.396937 0.917846i \(-0.370073\pi\)
0.0590774 + 0.998253i \(0.481184\pi\)
\(450\) −3.52704 3.15712i −0.166266 0.148828i
\(451\) −2.38649 13.5344i −0.112375 0.637312i
\(452\) −4.15573 7.62391i −0.195469 0.358599i
\(453\) −6.08403 + 6.14134i −0.285853 + 0.288545i
\(454\) 7.40998 0.556795i 0.347768 0.0261317i
\(455\) 49.6685 + 11.7716i 2.32849 + 0.551863i
\(456\) 5.04384 2.33345i 0.236200 0.109274i
\(457\) 5.90617 + 0.690332i 0.276279 + 0.0322924i 0.253104 0.967439i \(-0.418548\pi\)
0.0231749 + 0.999731i \(0.492623\pi\)
\(458\) 10.6207 + 4.37091i 0.496272 + 0.204239i
\(459\) 6.76559 + 0.496148i 0.315791 + 0.0231582i
\(460\) −9.16750 9.08434i −0.427437 0.423559i
\(461\) −0.723707 1.67774i −0.0337064 0.0781402i 0.900531 0.434791i \(-0.143178\pi\)
−0.934238 + 0.356651i \(0.883919\pi\)
\(462\) 11.5073 + 6.76052i 0.535367 + 0.314528i
\(463\) −5.15148 4.86017i −0.239410 0.225871i 0.557180 0.830392i \(-0.311883\pi\)
−0.796590 + 0.604520i \(0.793365\pi\)
\(464\) 21.0810 32.6972i 0.978660 1.51793i
\(465\) −9.82952 + 4.63980i −0.455833 + 0.215166i
\(466\) 21.1120 + 3.35747i 0.977996 + 0.155532i
\(467\) −8.38460 9.99238i −0.387993 0.462392i 0.536327 0.844010i \(-0.319811\pi\)
−0.924320 + 0.381618i \(0.875367\pi\)
\(468\) 16.3137 31.2915i 0.754100 1.44645i
\(469\) 18.2478 21.7469i 0.842607 1.00418i
\(470\) −20.0819 + 17.4347i −0.926308 + 0.804202i
\(471\) 14.3086 11.4232i 0.659304 0.526352i
\(472\) −8.96235 15.8034i −0.412526 0.727410i
\(473\) 8.91054 + 3.84363i 0.409707 + 0.176730i
\(474\) 17.5074 1.91195i 0.804141 0.0878187i
\(475\) −1.13107 0.568045i −0.0518971 0.0260637i
\(476\) 9.38856 6.63790i 0.430324 0.304248i
\(477\) −19.3823 + 8.57714i −0.887457 + 0.392720i
\(478\) 17.1670 + 3.76482i 0.785200 + 0.172199i
\(479\) −12.8652 13.6363i −0.587827 0.623060i 0.363370 0.931645i \(-0.381626\pi\)
−0.951197 + 0.308585i \(0.900145\pi\)
\(480\) 5.50987 18.5076i 0.251490 0.844752i
\(481\) −23.8573 15.6912i −1.08780 0.715458i
\(482\) 12.4076 + 27.4833i 0.565150 + 1.25183i
\(483\) −7.74409 + 23.7426i −0.352368 + 1.08032i
\(484\) 6.91183 17.6318i 0.314174 0.801447i
\(485\) 21.6678 0.983883
\(486\) −19.2138 10.8087i −0.871558 0.490293i
\(487\) 3.12722i 0.141708i −0.997487 0.0708539i \(-0.977428\pi\)
0.997487 0.0708539i \(-0.0225724\pi\)
\(488\) −20.4750 5.01970i −0.926862 0.227231i
\(489\) 33.8678 + 11.0466i 1.53155 + 0.499546i
\(490\) −14.2115 31.4791i −0.642011 1.42208i
\(491\) 21.8377 33.2026i 0.985521 1.49841i 0.122991 0.992408i \(-0.460751\pi\)
0.862531 0.506005i \(-0.168878\pi\)
\(492\) 29.7027 + 24.4592i 1.33910 + 1.10271i
\(493\) 9.23591 8.71363i 0.415964 0.392442i
\(494\) 2.02125 9.21659i 0.0909403 0.414674i
\(495\) 7.27378 + 0.781129i 0.326932 + 0.0351091i
\(496\) 9.83107 + 8.09773i 0.441428 + 0.363599i
\(497\) 3.73370 7.43440i 0.167479 0.333478i
\(498\) 23.0320 2.51528i 1.03209 0.112712i
\(499\) −16.8426 + 39.0456i −0.753980 + 1.74792i −0.0953656 + 0.995442i \(0.530402\pi\)
−0.658615 + 0.752480i \(0.728857\pi\)
\(500\) −22.3625 + 9.00223i −1.00008 + 0.402592i
\(501\) −11.9218 14.9332i −0.532629 0.667166i
\(502\) −3.14638 3.62411i −0.140430 0.161752i
\(503\) 2.03339 + 1.70622i 0.0906643 + 0.0760764i 0.686993 0.726664i \(-0.258930\pi\)
−0.596329 + 0.802740i \(0.703375\pi\)
\(504\) −36.7873 + 6.54981i −1.63864 + 0.291752i
\(505\) −13.0191 + 10.9243i −0.579342 + 0.486126i
\(506\) −5.65819 0.899827i −0.251537 0.0400022i
\(507\) −15.9636 33.8193i −0.708970 1.50197i
\(508\) 5.31838 + 5.92166i 0.235965 + 0.262731i
\(509\) 17.4193 18.4634i 0.772099 0.818377i −0.215313 0.976545i \(-0.569077\pi\)
0.987412 + 0.158168i \(0.0505588\pi\)
\(510\) 3.19256 5.43416i 0.141369 0.240629i
\(511\) −33.9888 + 14.6614i −1.50358 + 0.648580i
\(512\) −22.3686 + 3.41281i −0.988560 + 0.150826i
\(513\) −5.71462 1.44541i −0.252306 0.0638163i
\(514\) −0.357912 0.147298i −0.0157868 0.00649702i
\(515\) 0.142205 1.21664i 0.00626631 0.0536117i
\(516\) −25.9546 + 8.03246i −1.14259 + 0.353609i
\(517\) −2.72258 + 11.4875i −0.119739 + 0.505218i
\(518\) 2.26556 + 30.1507i 0.0995432 + 1.32475i
\(519\) 1.63247 + 1.61723i 0.0716573 + 0.0709886i
\(520\) −19.3749 26.4483i −0.849647 1.15984i
\(521\) 35.5689 6.27175i 1.55830 0.274770i 0.672947 0.739691i \(-0.265028\pi\)
0.885353 + 0.464920i \(0.153917\pi\)
\(522\) −39.2068 + 12.8661i −1.71603 + 0.563132i
\(523\) −1.55256 + 8.80501i −0.0678888 + 0.385016i 0.931865 + 0.362806i \(0.118181\pi\)
−0.999753 + 0.0222100i \(0.992930\pi\)
\(524\) 24.9006 8.37727i 1.08779 0.365963i
\(525\) 6.38363 + 5.62754i 0.278604 + 0.245606i
\(526\) 20.5958 + 21.1073i 0.898019 + 0.920324i
\(527\) 2.48242 + 3.33446i 0.108136 + 0.145252i
\(528\) −2.80840 8.09916i −0.122220 0.352471i
\(529\) 0.713978 + 12.2585i 0.0310425 + 0.532979i
\(530\) −0.814128 + 19.6751i −0.0353635 + 0.854633i
\(531\) −3.16812 + 19.0077i −0.137485 + 0.824864i
\(532\) −9.03560 + 4.26360i −0.391743 + 0.184850i
\(533\) 63.5671 15.0657i 2.75340 0.652567i
\(534\) −13.0921 30.9945i −0.566549 1.34127i
\(535\) 15.2311 + 0.887113i 0.658500 + 0.0383532i
\(536\) −17.9808 + 3.02776i −0.776652 + 0.130779i
\(537\) 14.1047 8.79144i 0.608662 0.379379i
\(538\) 1.44769 0.0243563i 0.0624143 0.00105007i
\(539\) −13.2782 7.66615i −0.571931 0.330205i
\(540\) −16.8997 + 11.5716i −0.727248 + 0.497960i
\(541\) −4.19538 + 2.42220i −0.180373 + 0.104139i −0.587468 0.809247i \(-0.699875\pi\)
0.407095 + 0.913386i \(0.366542\pi\)
\(542\) 30.3962 18.2378i 1.30563 0.783381i
\(543\) 13.7445 + 34.1299i 0.589834 + 1.46465i
\(544\) −7.35505 0.666858i −0.315345 0.0285913i
\(545\) 15.1118 + 30.0900i 0.647318 + 1.28892i
\(546\) −28.9010 + 56.4754i −1.23685 + 2.41693i
\(547\) −7.66498 + 25.6028i −0.327731 + 1.09470i 0.622362 + 0.782730i \(0.286173\pi\)
−0.950093 + 0.311968i \(0.899012\pi\)
\(548\) −0.630287 0.437065i −0.0269245 0.0186705i
\(549\) 13.5201 + 17.8096i 0.577026 + 0.760097i
\(550\) −1.04522 + 1.64895i −0.0445684 + 0.0703114i
\(551\) −9.21817 + 6.06288i −0.392707 + 0.258288i
\(552\) 13.6777 8.37958i 0.582162 0.356659i
\(553\) −31.4472 + 3.67566i −1.33727 + 0.156305i
\(554\) 12.8592 + 3.61523i 0.546334 + 0.153596i
\(555\) 7.93405 + 14.5509i 0.336782 + 0.617652i
\(556\) −16.1898 3.26608i −0.686599 0.138513i
\(557\) −27.5632 + 10.0322i −1.16789 + 0.425077i −0.851910 0.523689i \(-0.824555\pi\)
−0.315980 + 0.948766i \(0.602333\pi\)
\(558\) −2.69357 13.2380i −0.114028 0.560411i
\(559\) −15.7769 + 43.3466i −0.667291 + 1.83337i
\(560\) −9.65303 + 33.3464i −0.407915 + 1.40914i
\(561\) −0.256911 2.78602i −0.0108468 0.117626i
\(562\) 1.97173 4.09644i 0.0831724 0.172798i
\(563\) −4.73564 + 1.41776i −0.199583 + 0.0597514i −0.385035 0.922902i \(-0.625811\pi\)
0.185451 + 0.982653i \(0.440625\pi\)
\(564\) −15.1065 29.3986i −0.636097 1.23791i
\(565\) 6.86332 + 5.10955i 0.288742 + 0.214961i
\(566\) −26.5356 + 3.55500i −1.11537 + 0.149428i
\(567\) 34.6883 + 19.1692i 1.45677 + 0.805030i
\(568\) −4.92263 + 2.07855i −0.206549 + 0.0872140i
\(569\) 19.1345 + 14.2451i 0.802160 + 0.597186i 0.918227 0.396055i \(-0.129621\pi\)
−0.116066 + 0.993241i \(0.537029\pi\)
\(570\) −3.55190 + 4.16842i −0.148773 + 0.174596i
\(571\) −1.46389 4.88974i −0.0612620 0.204629i 0.921879 0.387477i \(-0.126653\pi\)
−0.983141 + 0.182848i \(0.941468\pi\)
\(572\) −13.8362 4.51496i −0.578521 0.188780i
\(573\) 10.5491 + 4.85905i 0.440695 + 0.202990i
\(574\) −53.7303 43.5660i −2.24266 1.81841i
\(575\) −3.43287 1.24946i −0.143161 0.0521062i
\(576\) 20.7117 + 12.1254i 0.862988 + 0.505225i
\(577\) −4.01671 + 1.46196i −0.167218 + 0.0608622i −0.424272 0.905535i \(-0.639470\pi\)
0.257055 + 0.966397i \(0.417248\pi\)
\(578\) 20.4483 + 7.05533i 0.850536 + 0.293463i
\(579\) −32.3345 19.7356i −1.34378 0.820183i
\(580\) −5.38336 + 37.9572i −0.223532 + 1.57609i
\(581\) −41.3706 + 4.83553i −1.71634 + 0.200612i
\(582\) −6.40887 + 26.1562i −0.265656 + 1.08421i
\(583\) 4.80362 + 7.30355i 0.198946 + 0.302482i
\(584\) 22.7233 + 6.99426i 0.940299 + 0.289424i
\(585\) −1.69639 + 34.7331i −0.0701371 + 1.43604i
\(586\) −3.29842 + 3.61610i −0.136256 + 0.149380i
\(587\) 6.75425 + 2.02209i 0.278778 + 0.0834606i 0.423140 0.906064i \(-0.360928\pi\)
−0.144362 + 0.989525i \(0.546113\pi\)
\(588\) 42.2035 7.84455i 1.74044 0.323504i
\(589\) −1.62114 3.22795i −0.0667977 0.133005i
\(590\) 14.5383 + 10.4479i 0.598532 + 0.430133i
\(591\) −3.07278 + 21.6861i −0.126397 + 0.892049i
\(592\) 11.4546 15.6825i 0.470780 0.644548i
\(593\) −14.1014 + 8.14147i −0.579077 + 0.334330i −0.760766 0.649026i \(-0.775177\pi\)
0.181690 + 0.983356i \(0.441843\pi\)
\(594\) −3.09437 + 8.54950i −0.126964 + 0.350790i
\(595\) −5.66528 + 9.81256i −0.232254 + 0.402276i
\(596\) 21.1847 3.20177i 0.867758 0.131149i
\(597\) 18.1576 + 9.68088i 0.743139 + 0.396212i
\(598\) 2.70620 27.0992i 0.110665 1.10817i
\(599\) −0.107112 + 1.83904i −0.00437648 + 0.0751413i −0.999789 0.0205330i \(-0.993464\pi\)
0.995413 + 0.0956743i \(0.0305007\pi\)
\(600\) −0.775844 5.41060i −0.0316737 0.220887i
\(601\) −41.0427 + 9.72731i −1.67417 + 0.396785i −0.954660 0.297699i \(-0.903781\pi\)
−0.719508 + 0.694484i \(0.755633\pi\)
\(602\) 46.5495 14.7937i 1.89721 0.602945i
\(603\) 16.8389 + 9.51255i 0.685731 + 0.387381i
\(604\) −9.94003 + 0.915297i −0.404454 + 0.0372429i
\(605\) 1.08511 + 18.6306i 0.0441160 + 0.757443i
\(606\) −9.33649 18.9472i −0.379269 0.769676i
\(607\) −17.0823 + 12.7173i −0.693349 + 0.516179i −0.885180 0.465249i \(-0.845965\pi\)
0.191831 + 0.981428i \(0.438557\pi\)
\(608\) 6.19327 + 1.68043i 0.251170 + 0.0681504i
\(609\) 70.3073 23.6636i 2.84899 0.958899i
\(610\) 20.3950 3.95104i 0.825769 0.159973i
\(611\) −55.2654 9.74478i −2.23580 0.394232i
\(612\) 5.61554 + 5.46121i 0.226995 + 0.220756i
\(613\) −41.6084 + 7.33668i −1.68055 + 0.296326i −0.930835 0.365439i \(-0.880919\pi\)
−0.749712 + 0.661765i \(0.769808\pi\)
\(614\) 25.0150 9.58427i 1.00952 0.386790i
\(615\) −36.6703 9.64175i −1.47869 0.388793i
\(616\) 5.15904 + 14.5217i 0.207864 + 0.585097i
\(617\) 0.886927 3.74224i 0.0357063 0.150657i −0.952272 0.305252i \(-0.901259\pi\)
0.987978 + 0.154595i \(0.0494074\pi\)
\(618\) 1.42661 + 0.531520i 0.0573866 + 0.0213809i
\(619\) 28.4587 + 3.32635i 1.14385 + 0.133697i 0.666841 0.745200i \(-0.267646\pi\)
0.477012 + 0.878897i \(0.341720\pi\)
\(620\) −12.1381 3.19319i −0.487478 0.128241i
\(621\) −16.8669 2.22882i −0.676844 0.0894394i
\(622\) 23.3767 + 30.3219i 0.937322 + 1.21580i
\(623\) 23.9580 + 55.5410i 0.959858 + 2.22520i
\(624\) 37.6578 15.5656i 1.50752 0.623121i
\(625\) 12.4735 13.2211i 0.498938 0.528844i
\(626\) 38.1365 26.0122i 1.52424 1.03966i
\(627\) −0.200530 + 2.42283i −0.00800841 + 0.0967586i
\(628\) 21.1352 + 0.518598i 0.843386 + 0.0206943i
\(629\) 4.85556 4.07430i 0.193604 0.162453i
\(630\) 30.2232 21.0326i 1.20412 0.837958i
\(631\) −6.35636 + 7.57521i −0.253043 + 0.301564i −0.877580 0.479431i \(-0.840843\pi\)
0.624537 + 0.780995i \(0.285288\pi\)
\(632\) 16.9038 + 11.3055i 0.672398 + 0.449707i
\(633\) −7.56932 + 19.3165i −0.300854 + 0.767764i
\(634\) −47.9444 + 12.2184i −1.90411 + 0.485254i
\(635\) −7.20190 3.10660i −0.285799 0.123282i
\(636\) −23.5100 6.80226i −0.932232 0.269727i
\(637\) 32.7092 65.1294i 1.29599 2.58052i
\(638\) 7.89268 + 15.0777i 0.312474 + 0.596933i
\(639\) 5.44451 + 1.57451i 0.215381 + 0.0622867i
\(640\) 18.6122 12.2789i 0.735713 0.485366i
\(641\) 21.5166 20.2999i 0.849856 0.801798i −0.132035 0.991245i \(-0.542151\pi\)
0.981891 + 0.189447i \(0.0606695\pi\)
\(642\) −5.57593 + 18.1239i −0.220064 + 0.715292i
\(643\) −10.9854 7.22524i −0.433224 0.284936i 0.314108 0.949387i \(-0.398295\pi\)
−0.747331 + 0.664452i \(0.768665\pi\)
\(644\) −24.4744 + 15.2504i −0.964427 + 0.600951i
\(645\) 19.9166 17.8923i 0.784214 0.704507i
\(646\) 1.83122 + 1.01657i 0.0720485 + 0.0399966i
\(647\) −2.33887 −0.0919507 −0.0459753 0.998943i \(-0.514640\pi\)
−0.0459753 + 0.998943i \(0.514640\pi\)
\(648\) −8.97000 23.8231i −0.352375 0.935859i
\(649\) 7.94755 0.311968
\(650\) −8.11385 4.50427i −0.318251 0.176672i
\(651\) 5.02261 + 23.7615i 0.196852 + 0.931288i
\(652\) 21.7541 + 34.9117i 0.851956 + 1.36725i
\(653\) −24.7198 16.2585i −0.967361 0.636243i −0.0356194 0.999365i \(-0.511340\pi\)
−0.931742 + 0.363122i \(0.881711\pi\)
\(654\) −40.7929 + 9.34217i −1.59513 + 0.365308i
\(655\) −18.8311 + 17.7662i −0.735792 + 0.694184i
\(656\) 8.11357 + 43.6827i 0.316782 + 1.70552i
\(657\) −14.0542 20.9382i −0.548308 0.816876i
\(658\) 27.5576 + 52.6445i 1.07431 + 2.05230i
\(659\) 22.1314 44.0672i 0.862116 1.71661i 0.182285 0.983246i \(-0.441651\pi\)
0.679831 0.733368i \(-0.262053\pi\)
\(660\) 5.85347 + 6.09052i 0.227846 + 0.237073i
\(661\) 13.1536 + 5.67392i 0.511617 + 0.220690i 0.636207 0.771518i \(-0.280502\pi\)
−0.124590 + 0.992208i \(0.539762\pi\)
\(662\) −33.9057 + 8.64069i −1.31778 + 0.335830i
\(663\) 13.1499 1.98918i 0.510698 0.0772534i
\(664\) 22.2379 + 14.8730i 0.862999 + 0.577183i
\(665\) 6.32851 7.54202i 0.245409 0.292467i
\(666\) −19.9118 + 5.27372i −0.771568 + 0.204353i
\(667\) −24.3949 + 20.4698i −0.944575 + 0.792592i
\(668\) 0.541237 22.0578i 0.0209411 0.853443i
\(669\) 25.7631 + 17.8601i 0.996059 + 0.690512i
\(670\) 14.8440 10.1248i 0.573474 0.391156i
\(671\) 6.32857 6.70789i 0.244312 0.258955i
\(672\) −37.3989 21.5158i −1.44269 0.829990i
\(673\) −11.5473 26.7696i −0.445115 1.03189i −0.982110 0.188307i \(-0.939700\pi\)
0.536995 0.843585i \(-0.319559\pi\)
\(674\) −13.4366 17.4285i −0.517557 0.671322i
\(675\) −2.97387 + 4.97667i −0.114464 + 0.191552i
\(676\) 10.9864 41.7621i 0.422555 1.60624i
\(677\) −17.8141 2.08217i −0.684653 0.0800245i −0.233347 0.972394i \(-0.574968\pi\)
−0.451306 + 0.892369i \(0.649042\pi\)
\(678\) −8.19802 + 6.77375i −0.314843 + 0.260144i
\(679\) 11.1650 47.1087i 0.428472 1.80787i
\(680\) 6.85769 2.43629i 0.262980 0.0934273i
\(681\) −2.39668 8.77968i −0.0918408 0.336438i
\(682\) −5.20287 + 1.99343i −0.199228 + 0.0763324i
\(683\) 5.31246 0.936729i 0.203275 0.0358429i −0.0710832 0.997470i \(-0.522646\pi\)
0.274359 + 0.961627i \(0.411534\pi\)
\(684\) −3.98133 5.52060i −0.152230 0.211086i
\(685\) 0.744339 + 0.131247i 0.0284397 + 0.00501469i
\(686\) −32.9651 + 6.38619i −1.25861 + 0.243826i
\(687\) 2.77981 13.7887i 0.106056 0.526072i
\(688\) −28.9185 12.1629i −1.10251 0.463705i
\(689\) −33.3308 + 24.8138i −1.26980 + 0.945332i
\(690\) −8.78577 + 13.1401i −0.334468 + 0.500236i
\(691\) 1.36218 + 23.3878i 0.0518199 + 0.889713i 0.919622 + 0.392804i \(0.128495\pi\)
−0.867802 + 0.496909i \(0.834468\pi\)
\(692\) 0.243301 + 2.64222i 0.00924890 + 0.100442i
\(693\) 5.44632 15.4117i 0.206888 0.585442i
\(694\) 22.3736 7.11044i 0.849288 0.269908i
\(695\) 15.8366 3.75333i 0.600715 0.142372i
\(696\) −44.2276 17.7254i −1.67644 0.671881i
\(697\) −0.843168 + 14.4766i −0.0319373 + 0.548341i
\(698\) −1.72081 + 17.2318i −0.0651336 + 0.652232i
\(699\) −0.884164 26.1668i −0.0334422 0.989721i
\(700\) 1.46846 + 9.71615i 0.0555025 + 0.367236i
\(701\) 4.60204 7.97096i 0.173816 0.301059i −0.765935 0.642919i \(-0.777723\pi\)
0.939751 + 0.341860i \(0.111057\pi\)
\(702\) −41.4262 12.3211i −1.56353 0.465030i
\(703\) −4.76978 + 2.75383i −0.179896 + 0.103863i
\(704\) 3.52846 9.24814i 0.132984 0.348552i
\(705\) 25.6437 + 20.0817i 0.965797 + 0.756322i
\(706\) −18.6205 13.3816i −0.700792 0.503622i
\(707\) 17.0425 + 33.9344i 0.640948 + 1.27623i
\(708\) −16.9123 + 14.4596i −0.635603 + 0.543426i
\(709\) 46.9654 + 14.0605i 1.76382 + 0.528054i 0.993920 0.110106i \(-0.0351190\pi\)
0.769904 + 0.638160i \(0.220304\pi\)
\(710\) 3.54853 3.89030i 0.133174 0.146000i
\(711\) −6.37968 20.6045i −0.239257 0.772730i
\(712\) 11.4293 37.1321i 0.428330 1.39158i
\(713\) −5.72906 8.71061i −0.214555 0.326215i
\(714\) −10.1695 9.74118i −0.380585 0.364555i
\(715\) 14.2452 1.66502i 0.532739 0.0622682i
\(716\) 19.0012 + 2.69489i 0.710109 + 0.100713i
\(717\) 0.525176 21.5184i 0.0196131 0.803621i
\(718\) 26.7600 + 9.23310i 0.998676 + 0.344576i
\(719\) −22.6920 + 8.25922i −0.846270 + 0.308017i −0.728518 0.685026i \(-0.759791\pi\)
−0.117751 + 0.993043i \(0.537569\pi\)
\(720\) −23.5371 2.31088i −0.877175 0.0861212i
\(721\) −2.57187 0.936086i −0.0957816 0.0348617i
\(722\) 19.4577 + 15.7768i 0.724139 + 0.587153i
\(723\) 30.1527 21.3245i 1.12139 0.793068i
\(724\) −13.1797 + 40.3895i −0.489819 + 1.50106i
\(725\) 3.11227 + 10.3957i 0.115587 + 0.386087i
\(726\) −22.8109 4.20066i −0.846592 0.155901i
\(727\) 12.9794 + 9.66282i 0.481380 + 0.358374i 0.810331 0.585973i \(-0.199287\pi\)
−0.328950 + 0.944347i \(0.606695\pi\)
\(728\) −67.4858 + 28.4955i −2.50119 + 1.05611i
\(729\) −8.51736 + 25.6214i −0.315458 + 0.948940i
\(730\) −23.2215 + 3.11100i −0.859465 + 0.115143i
\(731\) −8.21323 6.11452i −0.303777 0.226154i
\(732\) −1.26292 + 25.7884i −0.0466788 + 0.953167i
\(733\) −24.2283 + 7.25347i −0.894892 + 0.267913i −0.701044 0.713118i \(-0.747282\pi\)
−0.193849 + 0.981031i \(0.562097\pi\)
\(734\) −9.83726 + 20.4378i −0.363100 + 0.754371i
\(735\) −34.5366 + 24.4249i −1.27390 + 0.900926i
\(736\) 18.3178 + 2.74219i 0.675204 + 0.101078i
\(737\) 2.72811 7.49541i 0.100491 0.276097i
\(738\) 22.4853 41.4146i 0.827696 1.52449i
\(739\) 2.91571 1.06123i 0.107256 0.0390380i −0.287835 0.957680i \(-0.592935\pi\)
0.395091 + 0.918642i \(0.370713\pi\)
\(740\) −3.78447 + 18.7594i −0.139120 + 0.689609i
\(741\) −11.5528 0.281956i −0.424402 0.0103579i
\(742\) 42.3569 + 11.9082i 1.55497 + 0.437165i
\(743\) −17.3462 + 2.02748i −0.636372 + 0.0743812i −0.428161 0.903703i \(-0.640838\pi\)
−0.208211 + 0.978084i \(0.566764\pi\)
\(744\) 7.44484 13.7080i 0.272941 0.502560i
\(745\) −17.6397 + 11.6018i −0.646268 + 0.425057i
\(746\) 10.5981 16.7196i 0.388024 0.612149i
\(747\) −8.39283 27.1064i −0.307078 0.991771i
\(748\) 1.84096 2.65483i 0.0673121 0.0970701i
\(749\) 9.77701 32.6575i 0.357244 1.19328i
\(750\) 16.0364 + 24.7894i 0.585568 + 0.905180i
\(751\) 6.90204 + 13.7431i 0.251859 + 0.501492i 0.983662 0.180024i \(-0.0576174\pi\)
−0.731803 + 0.681516i \(0.761321\pi\)
\(752\) 8.46289 37.2159i 0.308610 1.35712i
\(753\) −3.62409 + 4.62783i −0.132069 + 0.168648i
\(754\) −69.3687 + 41.6214i −2.52626 + 1.51576i
\(755\) 8.51876 4.91831i 0.310029 0.178996i
\(756\) 16.4501 + 42.7049i 0.598283 + 1.55316i
\(757\) 0.503955 + 0.290958i 0.0183165 + 0.0105751i 0.509130 0.860689i \(-0.329967\pi\)
−0.490814 + 0.871265i \(0.663300\pi\)
\(758\) −8.44473 + 0.142076i −0.306726 + 0.00516045i
\(759\) 0.236963 + 7.01292i 0.00860121 + 0.254553i
\(760\) −6.23590 + 1.05005i −0.226200 + 0.0380894i
\(761\) −23.2513 1.35424i −0.842861 0.0490910i −0.368720 0.929540i \(-0.620204\pi\)
−0.474140 + 0.880449i \(0.657241\pi\)
\(762\) 5.88029 7.77490i 0.213021 0.281655i
\(763\) 73.2067 17.3503i 2.65026 0.628123i
\(764\) 5.72311 + 12.1287i 0.207055 + 0.438800i
\(765\) −7.27797 2.57195i −0.263136 0.0929891i
\(766\) −0.138024 + 3.33563i −0.00498700 + 0.120521i
\(767\) 2.19662 + 37.7145i 0.0793153 + 1.36179i
\(768\) 9.31736 + 26.0996i 0.336211 + 0.941787i
\(769\) 7.40464 + 9.94616i 0.267018 + 0.358668i 0.915328 0.402709i \(-0.131931\pi\)
−0.648310 + 0.761376i \(0.724524\pi\)
\(770\) −10.6058 10.8693i −0.382208 0.391701i
\(771\) −0.0936782 + 0.464673i −0.00337374 + 0.0167348i
\(772\) −13.9478 41.4585i −0.501993 1.49213i
\(773\)