Properties

Label 648.2.bb.b.155.27
Level $648$
Weight $2$
Character 648.155
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 155.27
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.27

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.987659 - 1.01219i) q^{2} +(-1.64667 + 0.537094i) q^{3} +(-0.0490596 + 1.99940i) q^{4} +(-1.64663 + 1.08300i) q^{5} +(2.16999 + 1.13628i) q^{6} +(-3.20307 - 3.02194i) q^{7} +(2.07223 - 1.92507i) q^{8} +(2.42306 - 1.76884i) q^{9} +O(q^{10})\) \(q+(-0.987659 - 1.01219i) q^{2} +(-1.64667 + 0.537094i) q^{3} +(-0.0490596 + 1.99940i) q^{4} +(-1.64663 + 1.08300i) q^{5} +(2.16999 + 1.13628i) q^{6} +(-3.20307 - 3.02194i) q^{7} +(2.07223 - 1.92507i) q^{8} +(2.42306 - 1.76884i) q^{9} +(2.72251 + 0.597061i) q^{10} +(0.555299 + 1.10569i) q^{11} +(-0.993080 - 3.31870i) q^{12} +(-5.40045 + 2.32953i) q^{13} +(0.104761 + 6.22676i) q^{14} +(2.12978 - 2.66774i) q^{15} +(-3.99519 - 0.196179i) q^{16} +(-0.839181 - 1.00010i) q^{17} +(-4.18356 - 0.705592i) q^{18} +(0.869010 + 0.729186i) q^{19} +(-2.08457 - 3.34539i) q^{20} +(6.89747 + 3.25579i) q^{21} +(0.570724 - 1.65411i) q^{22} +(-2.24693 - 2.38160i) q^{23} +(-2.37834 + 4.28293i) q^{24} +(-0.441919 + 1.02448i) q^{25} +(7.69172 + 3.16551i) q^{26} +(-3.03995 + 4.21410i) q^{27} +(6.19920 - 6.25595i) q^{28} +(9.66022 - 1.12912i) q^{29} +(-4.80376 + 0.479079i) q^{30} +(-0.734321 - 3.09834i) q^{31} +(3.74731 + 4.23765i) q^{32} +(-1.50825 - 1.52246i) q^{33} +(-0.183464 + 1.83717i) q^{34} +(8.54702 + 1.50707i) q^{35} +(3.41773 + 4.93144i) q^{36} +(4.78133 - 0.843077i) q^{37} +(-0.120210 - 1.59979i) q^{38} +(7.64159 - 6.73651i) q^{39} +(-1.32733 + 5.41409i) q^{40} +(8.90955 + 6.63291i) q^{41} +(-3.51686 - 10.1972i) q^{42} +(0.456032 - 7.82977i) q^{43} +(-2.23796 + 1.05602i) q^{44} +(-2.07422 + 5.53679i) q^{45} +(-0.191439 + 4.62653i) q^{46} +(9.28431 + 2.20042i) q^{47} +(6.68413 - 1.82275i) q^{48} +(0.720517 + 12.3708i) q^{49} +(1.47344 - 0.564534i) q^{50} +(1.91900 + 1.19611i) q^{51} +(-4.39271 - 10.9119i) q^{52} +(3.53256 + 6.11857i) q^{53} +(7.26792 - 1.08509i) q^{54} +(-2.11183 - 1.21927i) q^{55} +(-12.4549 - 0.0960240i) q^{56} +(-1.82262 - 0.733990i) q^{57} +(-10.6839 - 8.66280i) q^{58} +(2.88277 - 5.74007i) q^{59} +(5.22939 + 4.38915i) q^{60} +(-7.14027 + 2.13766i) q^{61} +(-2.41086 + 3.80338i) q^{62} +(-13.1065 - 1.65664i) q^{63} +(0.588243 - 7.97834i) q^{64} +(6.36963 - 9.68455i) q^{65} +(-0.0513807 + 3.03031i) q^{66} +(6.40308 + 0.748412i) q^{67} +(2.04076 - 1.62879i) q^{68} +(4.97909 + 2.71491i) q^{69} +(-6.91610 - 10.1397i) q^{70} +(-1.77527 - 0.646145i) q^{71} +(1.61600 - 8.32998i) q^{72} +(-7.89894 + 2.87498i) q^{73} +(-5.57567 - 4.00694i) q^{74} +(0.177452 - 1.92434i) q^{75} +(-1.50057 + 1.70172i) q^{76} +(1.56267 - 5.21968i) q^{77} +(-14.3659 - 1.08137i) 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} +(-6.84802 + 13.6311i) q^{84} +(2.46492 + 0.737950i) q^{85} +(-8.37563 + 7.27156i) q^{86} +(-15.3008 + 7.04774i) q^{87} +(3.27923 + 1.22225i) q^{88} +(-4.69798 - 12.9076i) q^{89} +(7.65291 - 3.36896i) q^{90} +(24.3377 + 8.85819i) q^{91} +(4.87200 - 4.37566i) q^{92} +(2.87329 + 4.70756i) q^{93} +(-6.94249 - 11.5708i) q^{94} +(-2.22064 - 0.259556i) q^{95} +(-8.44661 - 4.96536i) q^{96} +(9.18544 + 6.04136i) q^{97} +(11.8100 - 12.9474i) 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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987659 1.01219i −0.698380 0.715727i
\(3\) −1.64667 + 0.537094i −0.950707 + 0.310091i
\(4\) −0.0490596 + 1.99940i −0.0245298 + 0.999699i
\(5\) −1.64663 + 1.08300i −0.736393 + 0.484333i −0.861467 0.507814i \(-0.830454\pi\)
0.125074 + 0.992147i \(0.460083\pi\)
\(6\) 2.16999 + 1.13628i 0.885896 + 0.463885i
\(7\) −3.20307 3.02194i −1.21065 1.14219i −0.985823 0.167786i \(-0.946338\pi\)
−0.224823 0.974400i \(-0.572180\pi\)
\(8\) 2.07223 1.92507i 0.732643 0.680614i
\(9\) 2.42306 1.76884i 0.807687 0.589612i
\(10\) 2.72251 + 0.597061i 0.860933 + 0.188807i
\(11\) 0.555299 + 1.10569i 0.167429 + 0.333378i 0.961663 0.274233i \(-0.0884241\pi\)
−0.794234 + 0.607612i \(0.792128\pi\)
\(12\) −0.993080 3.31870i −0.286677 0.958027i
\(13\) −5.40045 + 2.32953i −1.49781 + 0.646094i −0.978079 0.208233i \(-0.933229\pi\)
−0.519735 + 0.854327i \(0.673969\pi\)
\(14\) 0.104761 + 6.22676i 0.0279985 + 1.66417i
\(15\) 2.12978 2.66774i 0.549906 0.688808i
\(16\) −3.99519 0.196179i −0.998797 0.0490448i
\(17\) −0.839181 1.00010i −0.203531 0.242559i 0.654617 0.755960i \(-0.272830\pi\)
−0.858149 + 0.513401i \(0.828385\pi\)
\(18\) −4.18356 0.705592i −0.986074 0.166310i
\(19\) 0.869010 + 0.729186i 0.199365 + 0.167287i 0.737005 0.675888i \(-0.236240\pi\)
−0.537640 + 0.843174i \(0.680684\pi\)
\(20\) −2.08457 3.34539i −0.466124 0.748052i
\(21\) 6.89747 + 3.25579i 1.50515 + 0.710473i
\(22\) 0.570724 1.65411i 0.121679 0.352658i
\(23\) −2.24693 2.38160i −0.468516 0.496598i 0.449423 0.893319i \(-0.351630\pi\)
−0.917939 + 0.396721i \(0.870148\pi\)
\(24\) −2.37834 + 4.28293i −0.485476 + 0.874250i
\(25\) −0.441919 + 1.02448i −0.0883838 + 0.204897i
\(26\) 7.69172 + 3.16551i 1.50847 + 0.620807i
\(27\) −3.03995 + 4.21410i −0.585039 + 0.811005i
\(28\) 6.19920 6.25595i 1.17154 1.18226i
\(29\) 9.66022 1.12912i 1.79386 0.209672i 0.847060 0.531498i \(-0.178371\pi\)
0.946799 + 0.321826i \(0.104297\pi\)
\(30\) −4.80376 + 0.479079i −0.877042 + 0.0874674i
\(31\) −0.734321 3.09834i −0.131888 0.556479i −0.998360 0.0572528i \(-0.981766\pi\)
0.866472 0.499226i \(-0.166382\pi\)
\(32\) 3.74731 + 4.23765i 0.662437 + 0.749117i
\(33\) −1.50825 1.52246i −0.262553 0.265027i
\(34\) −0.183464 + 1.83717i −0.0314638 + 0.315071i
\(35\) 8.54702 + 1.50707i 1.44471 + 0.254741i
\(36\) 3.41773 + 4.93144i 0.569622 + 0.821907i
\(37\) 4.78133 0.843077i 0.786045 0.138601i 0.233802 0.972284i \(-0.424883\pi\)
0.552243 + 0.833683i \(0.313772\pi\)
\(38\) −0.120210 1.59979i −0.0195007 0.259520i
\(39\) 7.64159 6.73651i 1.22363 1.07871i
\(40\) −1.32733 + 5.41409i −0.209869 + 0.856042i
\(41\) 8.90955 + 6.63291i 1.39144 + 1.03589i 0.992927 + 0.118723i \(0.0378800\pi\)
0.398510 + 0.917164i \(0.369527\pi\)
\(42\) −3.51686 10.1972i −0.542664 1.57346i
\(43\) 0.456032 7.82977i 0.0695443 1.19403i −0.765348 0.643616i \(-0.777433\pi\)
0.834892 0.550413i \(-0.185530\pi\)
\(44\) −2.23796 + 1.05602i −0.337385 + 0.159201i
\(45\) −2.07422 + 5.53679i −0.309206 + 0.825376i
\(46\) −0.191439 + 4.62653i −0.0282261 + 0.682144i
\(47\) 9.28431 + 2.20042i 1.35426 + 0.320965i 0.842745 0.538312i \(-0.180938\pi\)
0.511511 + 0.859277i \(0.329086\pi\)
\(48\) 6.68413 1.82275i 0.964771 0.263091i
\(49\) 0.720517 + 12.3708i 0.102931 + 1.76726i
\(50\) 1.47344 0.564534i 0.208375 0.0798371i
\(51\) 1.91900 + 1.19611i 0.268714 + 0.167489i
\(52\) −4.39271 10.9119i −0.609159 1.51321i
\(53\) 3.53256 + 6.11857i 0.485234 + 0.840450i 0.999856 0.0169670i \(-0.00540103\pi\)
−0.514622 + 0.857417i \(0.672068\pi\)
\(54\) 7.26792 1.08509i 0.989038 0.147661i
\(55\) −2.11183 1.21927i −0.284760 0.164406i
\(56\) −12.4549 0.0960240i −1.66436 0.0128318i
\(57\) −1.82262 0.733990i −0.241411 0.0972194i
\(58\) −10.6839 8.66280i −1.40286 1.13748i
\(59\) 2.88277 5.74007i 0.375305 0.747294i −0.624115 0.781332i \(-0.714540\pi\)
0.999421 + 0.0340381i \(0.0108368\pi\)
\(60\) 5.22939 + 4.38915i 0.675112 + 0.566637i
\(61\) −7.14027 + 2.13766i −0.914218 + 0.273699i −0.709157 0.705050i \(-0.750924\pi\)
−0.205061 + 0.978749i \(0.565739\pi\)
\(62\) −2.41086 + 3.80338i −0.306179 + 0.483030i
\(63\) −13.1065 1.65664i −1.65127 0.208717i
\(64\) 0.588243 7.97834i 0.0735304 0.997293i
\(65\) 6.36963 9.68455i 0.790055 1.20122i
\(66\) −0.0513807 + 3.03031i −0.00632453 + 0.373006i
\(67\) 6.40308 + 0.748412i 0.782260 + 0.0914331i 0.497843 0.867267i \(-0.334126\pi\)
0.284418 + 0.958700i \(0.408200\pi\)
\(68\) 2.04076 1.62879i 0.247479 0.197520i
\(69\) 4.97909 + 2.71491i 0.599413 + 0.326836i
\(70\) −6.91610 10.1397i −0.826632 1.21192i
\(71\) −1.77527 0.646145i −0.210686 0.0766833i 0.234521 0.972111i \(-0.424648\pi\)
−0.445207 + 0.895428i \(0.646870\pi\)
\(72\) 1.61600 8.32998i 0.190448 0.981697i
\(73\) −7.89894 + 2.87498i −0.924501 + 0.336491i −0.760028 0.649891i \(-0.774815\pi\)
−0.164473 + 0.986382i \(0.552592\pi\)
\(74\) −5.57567 4.00694i −0.648159 0.465797i
\(75\) 0.177452 1.92434i 0.0204904 0.222204i
\(76\) −1.50057 + 1.70172i −0.172127 + 0.195201i
\(77\) 1.56267 5.21968i 0.178083 0.594838i
\(78\) −14.3659 1.08137i −1.62662 0.122441i
\(79\) 5.76715 4.29349i 0.648855 0.483055i −0.221707 0.975113i \(-0.571163\pi\)
0.870562 + 0.492058i \(0.163755\pi\)
\(80\) 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 −0.926787 0.375588i \(-0.877441\pi\)
0.0940039 + 0.995572i \(0.470033\pi\)
\(84\) −6.84802 + 13.6311i −0.747180 + 1.48727i
\(85\) 2.46492 + 0.737950i 0.267359 + 0.0800419i
\(86\) −8.37563 + 7.27156i −0.903167 + 0.784112i
\(87\) −15.3008 + 7.04774i −1.64042 + 0.755597i
\(88\) 3.27923 + 1.22225i 0.349567 + 0.130293i
\(89\) −4.69798 12.9076i −0.497985 1.36820i −0.893219 0.449623i \(-0.851559\pi\)
0.395233 0.918581i \(-0.370664\pi\)
\(90\) 7.65291 3.36896i 0.806687 0.355119i
\(91\) 24.3377 + 8.85819i 2.55128 + 0.928591i
\(92\) 4.87200 4.37566i 0.507942 0.456194i
\(93\) 2.87329 + 4.70756i 0.297946 + 0.488151i
\(94\) −6.94249 11.5708i −0.716063 1.19343i
\(95\) −2.22064 0.259556i −0.227833 0.0266299i
\(96\) −8.44661 4.96536i −0.862078 0.506775i
\(97\) 9.18544 + 6.04136i 0.932640 + 0.613407i 0.922273 0.386539i \(-0.126330\pi\)
0.0103670 + 0.999946i \(0.496700\pi\)
\(98\) 11.8100 12.9474i 1.19299 1.30789i
\(99\) 3.30131 + 1.69692i 0.331794 + 0.170547i
\(100\) −2.02667 0.933832i −0.202667 0.0933832i
\(101\) 2.47318 + 8.26100i 0.246091 + 0.822001i 0.988391 + 0.151933i \(0.0485498\pi\)
−0.742300 + 0.670068i \(0.766265\pi\)
\(102\) −0.684626 3.12375i −0.0677881 0.309297i
\(103\) 0.278938 0.555411i 0.0274846 0.0547263i −0.879471 0.475952i \(-0.842104\pi\)
0.906956 + 0.421226i \(0.138400\pi\)
\(104\) −6.70646 + 15.2235i −0.657622 + 1.49279i
\(105\) −14.8836 + 2.10890i −1.45249 + 0.205808i
\(106\) 2.70420 9.61868i 0.262655 0.934249i
\(107\) 6.70415 + 3.87064i 0.648115 + 0.374189i 0.787734 0.616016i \(-0.211254\pi\)
−0.139619 + 0.990205i \(0.544588\pi\)
\(108\) −8.27653 6.28482i −0.796410 0.604757i
\(109\) −14.7958 + 8.54238i −1.41718 + 0.818212i −0.996051 0.0887864i \(-0.971701\pi\)
−0.421134 + 0.906998i \(0.638368\pi\)
\(110\) 0.851640 + 3.34180i 0.0812007 + 0.318628i
\(111\) −7.42046 + 3.95629i −0.704319 + 0.375515i
\(112\) 12.2040 + 12.7016i 1.15317 + 1.20019i
\(113\) 4.33414 0.252435i 0.407722 0.0237471i 0.146941 0.989145i \(-0.453057\pi\)
0.260781 + 0.965398i \(0.416020\pi\)
\(114\) 1.05719 + 2.56977i 0.0990145 + 0.240681i
\(115\) 6.27912 + 1.48818i 0.585531 + 0.138773i
\(116\) 1.78363 + 19.3700i 0.165606 + 1.79846i
\(117\) −8.96506 + 15.1971i −0.828820 + 1.40497i
\(118\) −8.65725 + 2.75132i −0.796964 + 0.253279i
\(119\) −0.334278 + 5.73933i −0.0306432 + 0.526124i
\(120\) −0.722199 9.62813i −0.0659274 0.878924i
\(121\) 5.65455 7.59538i 0.514050 0.690489i
\(122\) 9.21587 + 5.11604i 0.834366 + 0.463185i
\(123\) −18.2336 6.13697i −1.64407 0.553352i
\(124\) 6.23085 1.31620i 0.559547 0.118198i
\(125\) −2.09302 11.8701i −0.187205 1.06169i
\(126\) 11.2680 + 14.9025i 1.00383 + 1.32762i
\(127\) 3.91921 + 0.691063i 0.347774 + 0.0613219i 0.344807 0.938674i \(-0.387944\pi\)
0.00296716 + 0.999996i \(0.499056\pi\)
\(128\) −8.65659 + 7.28447i −0.765142 + 0.643862i
\(129\) 3.45439 + 13.1380i 0.304142 + 1.15674i
\(130\) −16.0936 + 3.11775i −1.41151 + 0.273445i
\(131\) −3.02937 12.7819i −0.264677 1.11676i −0.929225 0.369516i \(-0.879524\pi\)
0.664547 0.747246i \(-0.268625\pi\)
\(132\) 3.11800 2.94091i 0.271387 0.255973i
\(133\) −0.579943 4.96173i −0.0502874 0.430236i
\(134\) −5.56652 7.22031i −0.480874 0.623740i
\(135\) 0.441780 10.2313i 0.0380223 0.880573i
\(136\) −3.66423 0.456949i −0.314205 0.0391830i
\(137\) 0.352135 + 0.151896i 0.0300849 + 0.0129774i 0.411069 0.911604i \(-0.365155\pi\)
−0.380984 + 0.924582i \(0.624415\pi\)
\(138\) −2.16964 7.72120i −0.184692 0.657272i
\(139\) 5.66696 + 6.00663i 0.480665 + 0.509476i 0.921641 0.388044i \(-0.126849\pi\)
−0.440976 + 0.897519i \(0.645367\pi\)
\(140\) −3.43255 + 17.0150i −0.290103 + 1.43803i
\(141\) −16.4701 + 1.36317i −1.38703 + 0.114800i
\(142\) 1.09934 + 2.43508i 0.0922544 + 0.204347i
\(143\) −5.57459 4.67764i −0.466171 0.391164i
\(144\) −10.0276 + 6.59148i −0.835632 + 0.549290i
\(145\) −14.6839 + 12.3213i −1.21943 + 1.02323i
\(146\) 10.7115 + 5.15573i 0.886489 + 0.426692i
\(147\) −7.83074 19.9837i −0.645868 1.64822i
\(148\) 1.45108 + 9.60113i 0.119278 + 0.789208i
\(149\) 4.24306 + 9.83651i 0.347605 + 0.805839i 0.998894 + 0.0470093i \(0.0149690\pi\)
−0.651290 + 0.758829i \(0.725772\pi\)
\(150\) −2.12306 + 1.72098i −0.173347 + 0.140517i
\(151\) −2.23997 4.46016i −0.182287 0.362962i 0.783867 0.620928i \(-0.213244\pi\)
−0.966154 + 0.257966i \(0.916948\pi\)
\(152\) 3.20452 0.161863i 0.259921 0.0131288i
\(153\) −3.80239 0.938921i −0.307405 0.0759073i
\(154\) −6.82670 + 3.57354i −0.550111 + 0.287964i
\(155\) 4.56466 + 4.30654i 0.366643 + 0.345909i
\(156\) 13.0941 + 15.6091i 1.04837 + 1.24973i
\(157\) 5.80874 + 8.83176i 0.463588 + 0.704851i 0.989314 0.145803i \(-0.0465766\pi\)
−0.525726 + 0.850654i \(0.676206\pi\)
\(158\) −10.0418 1.59696i −0.798883 0.127047i
\(159\) −9.10321 8.17796i −0.721932 0.648555i
\(160\) −10.7598 2.91947i −0.850637 0.230805i
\(161\) 14.4185i 1.13634i
\(162\) −11.3851 + 5.69033i −0.894497 + 0.447075i
\(163\) −20.5674 −1.61096 −0.805481 0.592621i \(-0.798093\pi\)
−0.805481 + 0.592621i \(0.798093\pi\)
\(164\) −13.6989 + 17.4883i −1.06971 + 1.36561i
\(165\) 4.13236 + 0.873481i 0.321704 + 0.0680004i
\(166\) 13.2106 + 2.10089i 1.02534 + 0.163060i
\(167\) −9.21730 + 6.06231i −0.713256 + 0.469116i −0.853561 0.520992i \(-0.825562\pi\)
0.140305 + 0.990108i \(0.455192\pi\)
\(168\) 20.5607 6.53134i 1.58630 0.503904i
\(169\) 14.8170 15.7051i 1.13977 1.20808i
\(170\) −1.68756 3.22382i −0.129430 0.247255i
\(171\) 3.39547 + 0.229725i 0.259658 + 0.0175675i
\(172\) 15.6325 + 1.29592i 1.19196 + 0.0988127i
\(173\) 1.18558 0.595421i 0.0901380 0.0452690i −0.403159 0.915130i \(-0.632088\pi\)
0.493297 + 0.869861i \(0.335792\pi\)
\(174\) 22.2456 + 8.52655i 1.68644 + 0.646396i
\(175\) 4.51142 1.94604i 0.341031 0.147107i
\(176\) −2.00161 4.52638i −0.150877 0.341188i
\(177\) −1.66402 + 11.0003i −0.125076 + 0.826836i
\(178\) −8.42495 + 17.5036i −0.631477 + 1.31195i
\(179\) −6.16799 7.35072i −0.461017 0.549419i 0.484585 0.874744i \(-0.338971\pi\)
−0.945602 + 0.325325i \(0.894526\pi\)
\(180\) −10.9685 4.41882i −0.817543 0.329359i
\(181\) 13.6546 16.2729i 1.01494 1.20955i 0.0372877 0.999305i \(-0.488128\pi\)
0.977648 0.210249i \(-0.0674274\pi\)
\(182\) −15.0712 33.3833i −1.11715 2.47453i
\(183\) 10.6096 7.35502i 0.784282 0.543699i
\(184\) −9.24088 0.609738i −0.681247 0.0449505i
\(185\) −6.96000 + 6.56642i −0.511709 + 0.482773i
\(186\) 1.92712 7.55778i 0.141303 0.554163i
\(187\) 0.639802 1.48323i 0.0467869 0.108464i
\(188\) −4.85501 + 18.4551i −0.354088 + 1.34598i
\(189\) 22.4719 4.31151i 1.63459 0.313616i
\(190\) 1.93052 + 2.50407i 0.140055 + 0.181664i
\(191\) 6.66022 0.778469i 0.481917 0.0563280i 0.128334 0.991731i \(-0.459037\pi\)
0.353583 + 0.935403i \(0.384963\pi\)
\(192\) 3.31648 + 13.4537i 0.239346 + 0.970934i
\(193\) 21.2814 5.04379i 1.53187 0.363060i 0.623700 0.781664i \(-0.285629\pi\)
0.908169 + 0.418604i \(0.137480\pi\)
\(194\) −2.95707 15.2642i −0.212306 1.09591i
\(195\) −5.28718 + 19.3684i −0.378623 + 1.38700i
\(196\) −24.7695 + 0.833694i −1.76925 + 0.0595495i
\(197\) 2.19588 12.4534i 0.156450 0.887271i −0.800998 0.598666i \(-0.795697\pi\)
0.957448 0.288605i \(-0.0931914\pi\)
\(198\) −1.54296 5.01753i −0.109653 0.356580i
\(199\) 11.6997 2.06297i 0.829370 0.146240i 0.257182 0.966363i \(-0.417206\pi\)
0.572188 + 0.820123i \(0.306095\pi\)
\(200\) 1.05644 + 2.97368i 0.0747017 + 0.210271i
\(201\) −10.9457 + 2.20667i −0.772053 + 0.155646i
\(202\) 5.91905 10.6624i 0.416463 0.750203i
\(203\) −34.3545 25.5760i −2.41121 1.79508i
\(204\) −2.48565 + 3.77817i −0.174030 + 0.264525i
\(205\) −21.8541 1.27286i −1.52636 0.0889003i
\(206\) −0.837677 + 0.266218i −0.0583637 + 0.0185483i
\(207\) −9.65710 1.79632i −0.671215 0.124853i
\(208\) 22.0328 8.24743i 1.52770 0.571857i
\(209\) −0.323694 + 1.36577i −0.0223904 + 0.0944724i
\(210\) 16.8345 + 12.9821i 1.16169 + 0.895853i
\(211\) 0.696464 + 11.9578i 0.0479465 + 0.823210i 0.933479 + 0.358633i \(0.116757\pi\)
−0.885532 + 0.464578i \(0.846206\pi\)
\(212\) −12.4068 + 6.76282i −0.852100 + 0.464472i
\(213\) 3.27033 + 0.110503i 0.224079 + 0.00757152i
\(214\) −2.70359 10.6088i −0.184813 0.725200i
\(215\) 7.72875 + 13.3866i 0.527096 + 0.912958i
\(216\) 1.81296 + 14.5847i 0.123356 + 0.992362i
\(217\) −7.01092 + 12.1433i −0.475933 + 0.824339i
\(218\) 23.2598 + 6.53925i 1.57535 + 0.442894i
\(219\) 11.4628 8.97662i 0.774586 0.606584i
\(220\) 2.54141 4.16258i 0.171342 0.280641i
\(221\) 6.86171 + 3.44608i 0.461568 + 0.231808i
\(222\) 11.3334 + 3.60346i 0.760649 + 0.241848i
\(223\) 17.3386 5.19085i 1.16108 0.347605i 0.352399 0.935850i \(-0.385366\pi\)
0.808683 + 0.588245i \(0.200181\pi\)
\(224\) 0.803024 24.8976i 0.0536543 1.66354i
\(225\) 0.741347 + 3.26407i 0.0494231 + 0.217604i
\(226\) −4.53617 4.13766i −0.301741 0.275233i
\(227\) 2.88735 4.39000i 0.191640 0.291375i −0.726868 0.686778i \(-0.759025\pi\)
0.918508 + 0.395403i \(0.129395\pi\)
\(228\) 1.55696 3.60813i 0.103112 0.238954i
\(229\) −0.942800 + 8.06617i −0.0623020 + 0.533028i 0.925663 + 0.378349i \(0.123508\pi\)
−0.987965 + 0.154678i \(0.950566\pi\)
\(230\) −4.69531 7.82548i −0.309600 0.515997i
\(231\) 0.230255 + 9.43440i 0.0151496 + 0.620738i
\(232\) 17.8445 20.9364i 1.17155 1.37454i
\(233\) 5.17000 14.2044i 0.338698 0.930564i −0.647067 0.762433i \(-0.724005\pi\)
0.985765 0.168131i \(-0.0537732\pi\)
\(234\) 24.2368 5.93519i 1.58441 0.387996i
\(235\) −17.6708 + 6.43166i −1.15272 + 0.419555i
\(236\) 11.3353 + 6.04542i 0.737863 + 0.393523i
\(237\) −7.19061 + 10.1675i −0.467080 + 0.660448i
\(238\) 6.13945 5.33015i 0.397962 0.345502i
\(239\) −3.56421 + 11.9053i −0.230550 + 0.770090i 0.761928 + 0.647662i \(0.224253\pi\)
−0.992477 + 0.122428i \(0.960932\pi\)
\(240\) −9.03222 + 10.2403i −0.583027 + 0.661009i
\(241\) −12.7328 17.1031i −0.820192 1.10171i −0.993158 0.116781i \(-0.962742\pi\)
0.172966 0.984928i \(-0.444665\pi\)
\(242\) −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
\(246\) 11.7968 + 24.5171i 0.752137 + 1.56315i
\(247\) −6.39170 1.91355i −0.406694 0.121756i
\(248\) −7.48619 5.00685i −0.475374 0.317935i
\(249\) 9.45964 13.3759i 0.599481 0.847662i
\(250\) −9.94762 + 13.8421i −0.629143 + 0.875454i
\(251\) 1.16070 + 3.18900i 0.0732628 + 0.201288i 0.970919 0.239409i \(-0.0769536\pi\)
−0.897656 + 0.440697i \(0.854731\pi\)
\(252\) 3.95528 26.1239i 0.249159 1.64565i
\(253\) 1.38560 3.80690i 0.0871119 0.239338i
\(254\) −3.17136 4.64953i −0.198989 0.291737i
\(255\) −4.45527 + 0.108735i −0.279000 + 0.00680923i
\(256\) 15.9230 + 1.56755i 0.995189 + 0.0979717i
\(257\) −0.0317719 + 0.271826i −0.00198188 + 0.0169560i −0.994193 0.107611i \(-0.965680\pi\)
0.992211 + 0.124567i \(0.0397541\pi\)
\(258\) 9.88641 16.4724i 0.615501 1.02553i
\(259\) −17.8626 11.7484i −1.10993 0.730013i
\(260\) 19.0508 + 13.2105i 1.18148 + 0.819283i
\(261\) 21.4101 19.8233i 1.32525 1.22703i
\(262\) −9.94576 + 15.6905i −0.614451 + 0.969361i
\(263\) 5.98075 + 19.9771i 0.368789 + 1.23184i 0.918143 + 0.396250i \(0.129689\pi\)
−0.549354 + 0.835590i \(0.685126\pi\)
\(264\) −6.05628 0.251397i −0.372739 0.0154724i
\(265\) −12.4432 6.24922i −0.764381 0.383887i
\(266\) −4.44943 + 5.48751i −0.272812 + 0.336461i
\(267\) 14.6686 + 18.7313i 0.897706 + 1.14634i
\(268\) −1.81051 + 12.7656i −0.110594 + 0.779782i
\(269\) −0.511908 + 0.886650i −0.0312116 + 0.0540600i −0.881209 0.472726i \(-0.843270\pi\)
0.849998 + 0.526786i \(0.176603\pi\)
\(270\) −10.7924 + 9.65790i −0.656803 + 0.587761i
\(271\) −21.7073 + 12.5327i −1.31862 + 0.761307i −0.983507 0.180870i \(-0.942109\pi\)
−0.335115 + 0.942177i \(0.608775\pi\)
\(272\) 3.15649 + 4.16021i 0.191390 + 0.252249i
\(273\) −44.8339 1.51491i −2.71347 0.0916868i
\(274\) −0.194041 0.506450i −0.0117225 0.0305957i
\(275\) −1.37816 + 0.0802685i −0.0831060 + 0.00484038i
\(276\) −5.67245 + 9.82200i −0.341442 + 0.591215i
\(277\) −2.17824 + 9.19073i −0.130878 + 0.552217i 0.867610 + 0.497245i \(0.165655\pi\)
−0.998488 + 0.0549719i \(0.982493\pi\)
\(278\) 0.482827 11.6685i 0.0289581 0.699833i
\(279\) −7.25976 6.20858i −0.434631 0.371698i
\(280\) 20.6126 13.3306i 1.23184 0.796655i
\(281\) 3.20926 + 0.186918i 0.191448 + 0.0111506i 0.153601 0.988133i \(-0.450913\pi\)
0.0378471 + 0.999284i \(0.487950\pi\)
\(282\) 17.6466 + 15.3245i 1.05084 + 0.912560i
\(283\) −11.3049 + 15.1851i −0.672005 + 0.902660i −0.999104 0.0423306i \(-0.986522\pi\)
0.327098 + 0.944990i \(0.393929\pi\)
\(284\) 1.37900 3.51777i 0.0818283 0.208741i
\(285\) 3.79608 0.765291i 0.224860 0.0453319i
\(286\) 0.771135 + 10.2625i 0.0455982 + 0.606832i
\(287\) −8.49363 48.1698i −0.501363 2.84337i
\(288\) 16.5757 + 3.63970i 0.976730 + 0.214471i
\(289\) 2.65605 15.0632i 0.156238 0.886071i
\(290\) 26.9742 + 2.69371i 1.58398 + 0.158180i
\(291\) −18.3702 5.01469i −1.07688 0.293966i
\(292\) −5.36071 15.9342i −0.313712 0.932477i
\(293\) 3.36762 0.798140i 0.196738 0.0466278i −0.131065 0.991374i \(-0.541840\pi\)
0.327804 + 0.944746i \(0.393692\pi\)
\(294\) −12.4932 + 27.6632i −0.728617 + 1.61335i
\(295\) 1.46967 + 12.5738i 0.0855673 + 0.732075i
\(296\) 8.28501 10.9514i 0.481556 0.636538i
\(297\) −6.34758 1.02116i −0.368324 0.0592538i
\(298\) 5.76573 14.0099i 0.334000 0.811572i
\(299\) 17.6824 + 7.62745i 1.02260 + 0.441107i
\(300\) 3.83882 + 0.449204i 0.221634 + 0.0259348i
\(301\) −25.1218 + 23.7012i −1.44800 + 1.36611i
\(302\) −2.30220 + 6.67240i −0.132477 + 0.383953i
\(303\) −8.50946 12.2748i −0.488856 0.705171i
\(304\) −3.32881 3.08372i −0.190920 0.176863i
\(305\) 9.44227 11.2529i 0.540663 0.644337i
\(306\) 2.80510 + 4.77608i 0.160357 + 0.273030i
\(307\) 14.5105 12.1758i 0.828159 0.694908i −0.126708 0.991940i \(-0.540441\pi\)
0.954868 + 0.297032i \(0.0959967\pi\)
\(308\) 10.3596 + 3.38047i 0.590290 + 0.192620i
\(309\) −0.161011 + 1.06440i −0.00915961 + 0.0605513i
\(310\) −0.149294 8.87370i −0.00847931 0.503992i
\(311\) 10.7230 + 24.8588i 0.608048 + 1.40961i 0.892555 + 0.450939i \(0.148911\pi\)
−0.284507 + 0.958674i \(0.591830\pi\)
\(312\) 2.86688 28.6702i 0.162305 1.62313i
\(313\) 29.1701 14.6498i 1.64879 0.828055i 0.651186 0.758918i \(-0.274272\pi\)
0.997607 0.0691369i \(-0.0220245\pi\)
\(314\) 3.20237 14.6023i 0.180720 0.824056i
\(315\) 23.3757 11.4666i 1.31707 0.646067i
\(316\) 8.30146 + 11.7415i 0.466993 + 0.660509i
\(317\) 24.0084 25.4474i 1.34845 1.42927i 0.538691 0.842503i \(-0.318919\pi\)
0.809756 0.586767i \(-0.199600\pi\)
\(318\) 0.713212 + 17.2912i 0.0399949 + 0.969644i
\(319\) 6.61276 + 10.0542i 0.370244 + 0.562928i
\(320\) 7.67195 + 13.7744i 0.428875 + 0.770013i
\(321\) −13.1184 2.77292i −0.732200 0.154769i
\(322\) 14.5943 14.2406i 0.813307 0.793596i
\(323\) 1.48101i 0.0824058i
\(324\) 17.0043 + 5.90376i 0.944682 + 0.327987i
\(325\) 6.56213i 0.364001i
\(326\) 20.3136 + 20.8181i 1.12506 + 1.15301i
\(327\) 19.7758 22.0133i 1.09361 1.21734i
\(328\) 31.2314 3.40657i 1.72447 0.188096i
\(329\) −23.0887 35.1047i −1.27292 1.93539i
\(330\) −3.19723 5.04544i −0.176002 0.277742i
\(331\) −16.9785 + 17.9961i −0.933221 + 0.989156i −0.999963 0.00861415i \(-0.997258\pi\)
0.0667422 + 0.997770i \(0.478739\pi\)
\(332\) −10.9210 15.4466i −0.599369 0.847740i
\(333\) 10.0942 10.5002i 0.553157 0.575408i
\(334\) 15.2398 + 3.34217i 0.833883 + 0.182875i
\(335\) −11.3540 + 5.70219i −0.620335 + 0.311544i
\(336\) −26.9180 14.3606i −1.46849 0.783438i
\(337\) 6.16343 + 14.2884i 0.335744 + 0.778341i 0.999537 + 0.0304251i \(0.00968612\pi\)
−0.663793 + 0.747916i \(0.731055\pi\)
\(338\) −30.5307 + 0.513657i −1.66065 + 0.0279393i
\(339\) −7.00133 + 2.74352i −0.380260 + 0.149008i
\(340\) −1.59638 + 4.89216i −0.0865761 + 0.265315i
\(341\) 3.01804 2.53244i 0.163436 0.137139i
\(342\) −3.12104 3.66376i −0.168767 0.198113i
\(343\) 15.2618 18.1884i 0.824062 0.982079i
\(344\) −14.1278 17.1030i −0.761722 0.922130i
\(345\) −11.1390 + 0.921936i −0.599701 + 0.0496354i
\(346\) −1.77363 0.611961i −0.0953509 0.0328992i
\(347\) 12.0746 11.3918i 0.648196 0.611542i −0.290257 0.956949i \(-0.593741\pi\)
0.938453 + 0.345407i \(0.112259\pi\)
\(348\) −13.3406 30.9381i −0.715130 1.65846i
\(349\) 11.2438 + 4.85012i 0.601869 + 0.259621i 0.675138 0.737691i \(-0.264084\pi\)
−0.0732694 + 0.997312i \(0.523343\pi\)
\(350\) −6.42551 2.64440i −0.343458 0.141349i
\(351\) 6.60025 29.8397i 0.352295 1.59273i
\(352\) −2.60465 + 6.49652i −0.138828 + 0.346266i
\(353\) 1.88233 + 16.1044i 0.100186 + 0.857150i 0.946110 + 0.323846i \(0.104976\pi\)
−0.845923 + 0.533304i \(0.820950\pi\)
\(354\) 12.7779 9.18028i 0.679139 0.487926i
\(355\) 3.62298 0.858662i 0.192288 0.0455730i
\(356\) 26.0379 8.75990i 1.38001 0.464274i
\(357\) −2.53212 9.63034i −0.134014 0.509692i
\(358\) −1.34846 + 13.5032i −0.0712685 + 0.713666i
\(359\) −3.47589 + 19.7128i −0.183451 + 1.04040i 0.744480 + 0.667645i \(0.232698\pi\)
−0.927930 + 0.372754i \(0.878413\pi\)
\(360\) 6.36044 + 15.4665i 0.335224 + 0.815155i
\(361\) −3.07585 17.4440i −0.161887 0.918106i
\(362\) −29.9573 + 2.25103i −1.57452 + 0.118312i
\(363\) −5.23176 + 15.5441i −0.274596 + 0.815855i
\(364\) −18.9051 + 48.2261i −0.990894 + 2.52774i
\(365\) 9.89298 13.2886i 0.517822 0.695556i
\(366\) −17.9233 3.47465i −0.936867 0.181623i
\(367\) 16.0115 + 0.932562i 0.835792 + 0.0486793i 0.470701 0.882293i \(-0.344001\pi\)
0.365091 + 0.930972i \(0.381038\pi\)
\(368\) 8.50966 + 9.95574i 0.443597 + 0.518979i
\(369\) 33.3209 + 0.312414i 1.73462 + 0.0162636i
\(370\) 13.5206 + 0.559461i 0.702901 + 0.0290850i
\(371\) 7.17492 30.2734i 0.372503 1.57172i
\(372\) −9.55324 + 5.51390i −0.495313 + 0.285882i
\(373\) −13.9739 + 0.813888i −0.723542 + 0.0421415i −0.415964 0.909381i \(-0.636556\pi\)
−0.307578 + 0.951523i \(0.599519\pi\)
\(374\) −2.13321 + 0.817321i −0.110306 + 0.0422627i
\(375\) 9.82188 + 18.4220i 0.507200 + 0.951309i
\(376\) 23.4752 13.3131i 1.21064 0.686573i
\(377\) −49.5392 + 28.6015i −2.55140 + 1.47305i
\(378\) −26.5587 18.4876i −1.36603 0.950899i
\(379\) −2.98608 + 5.17205i −0.153385 + 0.265670i −0.932470 0.361248i \(-0.882351\pi\)
0.779085 + 0.626918i \(0.215684\pi\)
\(380\) 0.627900 4.42722i 0.0322106 0.227111i
\(381\) −6.82483 + 0.967032i −0.349647 + 0.0495426i
\(382\) −7.36599 5.97255i −0.376877 0.305582i
\(383\) 2.10957 + 1.05947i 0.107794 + 0.0541361i 0.501879 0.864938i \(-0.332642\pi\)
−0.394085 + 0.919074i \(0.628939\pi\)
\(384\) 10.3421 16.6445i 0.527769 0.849388i
\(385\) 3.07979 + 10.2872i 0.156961 + 0.524286i
\(386\) −26.1240 16.5593i −1.32968 0.842846i
\(387\) −12.7446 19.7787i −0.647844 1.00541i
\(388\) −12.5297 + 18.0690i −0.636100 + 0.917313i
\(389\) −7.65097 5.03212i −0.387919 0.255139i 0.340537 0.940231i \(-0.389391\pi\)
−0.728456 + 0.685093i \(0.759762\pi\)
\(390\) 24.8264 13.7777i 1.25713 0.697662i
\(391\) −0.496256 + 4.24574i −0.0250967 + 0.214716i
\(392\) 25.3077 + 24.2480i 1.27823 + 1.22471i
\(393\) 11.8535 + 19.4206i 0.597929 + 0.979639i
\(394\) −14.7740 + 10.0771i −0.744305 + 0.507678i
\(395\) −4.84648 + 13.3156i −0.243853 + 0.669981i
\(396\) −3.55478 + 6.51738i −0.178635 + 0.327510i
\(397\) −6.03023 16.5679i −0.302648 0.831520i −0.994038 0.109037i \(-0.965223\pi\)
0.691389 0.722483i \(-0.256999\pi\)
\(398\) −13.6434 9.80481i −0.683883 0.491471i
\(399\) 3.61989 + 7.85886i 0.181221 + 0.393435i
\(400\) 1.96653 4.00630i 0.0983265 0.200315i
\(401\) 7.47010 + 2.23640i 0.373039 + 0.111681i 0.467834 0.883816i \(-0.345034\pi\)
−0.0947952 + 0.995497i \(0.530220\pi\)
\(402\) 13.0442 + 8.89974i 0.650587 + 0.443879i
\(403\) 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
\(408\) 6.27921 1.21559i 0.310867 0.0601807i
\(409\) −8.29047 + 27.6921i −0.409937 + 1.36929i 0.465112 + 0.885252i \(0.346014\pi\)
−0.875049 + 0.484034i \(0.839171\pi\)
\(410\) 20.2961 + 23.3777i 1.00235 + 1.15454i
\(411\) −0.661434 0.0609937i −0.0326261 0.00300860i
\(412\) 1.09680 + 0.584956i 0.0540356 + 0.0288187i
\(413\) −26.5799 + 9.67428i −1.30791 + 0.476040i
\(414\) 7.71970 + 11.5490i 0.379403 + 0.567601i
\(415\) 6.37582 17.5174i 0.312977 0.859896i
\(416\) −30.1089 14.1557i −1.47621 0.694042i
\(417\) −12.5578 6.84726i −0.614956 0.335312i
\(418\) 1.70212 1.02128i 0.0832534 0.0499523i
\(419\) −0.803910 + 6.87789i −0.0392736 + 0.336007i 0.959290 + 0.282424i \(0.0911384\pi\)
−0.998563 + 0.0535833i \(0.982936\pi\)
\(420\) −3.48635 29.8617i −0.170117 1.45710i
\(421\) −11.8348 + 17.9939i −0.576793 + 0.876971i −0.999572 0.0292619i \(-0.990684\pi\)
0.422779 + 0.906233i \(0.361055\pi\)
\(422\) 11.4157 12.5152i 0.555709 0.609231i
\(423\) 26.3886 11.0907i 1.28306 0.539247i
\(424\) 19.0989 + 5.87865i 0.927525 + 0.285493i
\(425\) 1.39543 0.417765i 0.0676884 0.0202646i
\(426\) −3.11812 3.41933i −0.151073 0.165667i
\(427\) 29.3307 + 14.7304i 1.41941 + 0.712854i
\(428\) −8.06786 + 13.2144i −0.389975 + 0.638741i
\(429\) 11.6919 + 4.70846i 0.564489 + 0.227327i
\(430\) 5.91641 21.0444i 0.285315 1.01485i
\(431\) 0.808543 1.40044i 0.0389462 0.0674567i −0.845895 0.533349i \(-0.820933\pi\)
0.884841 + 0.465892i \(0.154267\pi\)
\(432\) 12.9719 16.2398i 0.624111 0.781336i
\(433\) 14.8327 + 25.6910i 0.712813 + 1.23463i 0.963797 + 0.266637i \(0.0859125\pi\)
−0.250984 + 0.967991i \(0.580754\pi\)
\(434\) 19.2157 4.89702i 0.922384 0.235065i
\(435\) 17.5619 28.1758i 0.842030 1.35092i
\(436\) −16.3537 30.0019i −0.783203 1.43683i
\(437\) −0.215970 3.70806i −0.0103312 0.177381i
\(438\) −20.4074 2.73673i −0.975104 0.130766i
\(439\) 0.844541 3.56340i 0.0403077 0.170072i −0.949168 0.314769i \(-0.898073\pi\)
0.989476 + 0.144698i \(0.0462210\pi\)
\(440\) −6.72337 + 1.53882i −0.320524 + 0.0733604i
\(441\) 23.6278 + 28.7007i 1.12513 + 1.36670i
\(442\) −3.28894 10.3489i −0.156439 0.492247i
\(443\) 19.1492 + 1.11532i 0.909807 + 0.0529902i 0.506661 0.862145i \(-0.330880\pi\)
0.403146 + 0.915136i \(0.367917\pi\)
\(444\) −7.54616 15.0306i −0.358125 0.713319i
\(445\) 21.7148 + 16.1661i 1.02938 + 0.766345i
\(446\) −22.3788 12.4232i −1.05967 0.588257i
\(447\) −12.2701 13.9186i −0.580354 0.658327i
\(448\) −25.9943 + 23.7775i −1.22811 + 1.12338i
\(449\) 9.66278 1.70381i 0.456015 0.0804077i 0.0590774 0.998253i \(-0.481184\pi\)
0.396937 + 0.917846i \(0.370073\pi\)
\(450\) 2.57166 3.97417i 0.121229 0.187344i
\(451\) −2.38649 + 13.5344i −0.112375 + 0.637312i
\(452\) 0.292087 + 8.67806i 0.0137386 + 0.408182i
\(453\) 6.08403 + 6.14134i 0.285853 + 0.288545i
\(454\) −7.29524 + 1.41328i −0.342382 + 0.0663284i
\(455\) −49.6685 + 11.7716i −2.32849 + 0.551863i
\(456\) −5.18985 + 1.98766i −0.243037 + 0.0930808i
\(457\) 5.90617 0.690332i 0.276279 0.0322924i 0.0231749 0.999731i \(-0.492623\pi\)
0.253104 + 0.967439i \(0.418548\pi\)
\(458\) 9.09567 7.01233i 0.425013 0.327665i
\(459\) 6.76559 0.496148i 0.315791 0.0231582i
\(460\) −3.28352 + 12.4815i −0.153095 + 0.581951i
\(461\) 0.723707 1.67774i 0.0337064 0.0781402i −0.900531 0.434791i \(-0.856822\pi\)
0.934238 + 0.356651i \(0.116081\pi\)
\(462\) 9.32200 9.55103i 0.433699 0.444354i
\(463\) 5.15148 4.86017i 0.239410 0.225871i −0.557180 0.830392i \(-0.688117\pi\)
0.796590 + 0.604520i \(0.206635\pi\)
\(464\) −38.8159 + 2.61590i −1.80198 + 0.121440i
\(465\) −9.82952 4.63980i −0.455833 0.215166i
\(466\) −19.4838 + 8.79613i −0.902570 + 0.407473i
\(467\) −8.38460 + 9.99238i −0.387993 + 0.462392i −0.924320 0.381618i \(-0.875367\pi\)
0.536327 + 0.844010i \(0.319811\pi\)
\(468\) −29.9452 18.6703i −1.38422 0.863034i
\(469\) −18.2478 21.7469i −0.842607 1.00418i
\(470\) 23.9628 + 11.5340i 1.10532 + 0.532023i
\(471\) −14.3086 11.4232i −0.659304 0.526352i
\(472\) −5.07626 17.4443i −0.233654 0.802937i
\(473\) 8.91054 3.84363i 0.409707 0.176730i
\(474\) 17.3933 2.76373i 0.798900 0.126942i
\(475\) −1.13107 + 0.568045i −0.0518971 + 0.0260637i
\(476\) −11.4588 0.949925i −0.525214 0.0435397i
\(477\) 19.3823 + 8.57714i 0.887457 + 0.392720i
\(478\) 15.5707 8.15071i 0.712185 0.372805i
\(479\) 12.8652 13.6363i 0.587827 0.623060i −0.363370 0.931645i \(-0.618374\pi\)
0.951197 + 0.308585i \(0.0998554\pi\)
\(480\) 19.2859 0.971611i 0.880277 0.0443478i
\(481\) −23.8573 + 15.6912i −1.08780 + 0.715458i
\(482\) −4.73595 + 29.7801i −0.215717 + 1.35645i
\(483\) −7.74409 23.7426i −0.352368 1.08032i
\(484\) 14.9088 + 11.6783i 0.677672 + 0.530833i
\(485\) −21.6678 −0.983883
\(486\) 15.6913 15.4850i 0.711770 0.702413i
\(487\) 3.12722i 0.141708i −0.997487 0.0708539i \(-0.977428\pi\)
0.997487 0.0708539i \(-0.0225724\pi\)
\(488\) −10.6811 + 18.1752i −0.483512 + 0.822753i
\(489\) 33.8678 11.0466i 1.53155 0.499546i
\(490\) −5.42451 + 34.1098i −0.245055 + 1.54092i
\(491\) 21.8377 + 33.2026i 0.985521 + 1.49841i 0.862531 + 0.506005i \(0.168878\pi\)
0.122991 + 0.992408i \(0.460751\pi\)
\(492\) 13.1648 36.1552i 0.593514 1.63000i
\(493\) −9.23591 8.71363i −0.415964 0.392442i
\(494\) 4.37594 + 8.35955i 0.196883 + 0.376114i
\(495\) −7.27378 + 0.781129i −0.326932 + 0.0351091i
\(496\) 2.32592 + 12.5225i 0.104437 + 0.562278i
\(497\) 3.73370 + 7.43440i 0.167479 + 0.333478i
\(498\) −22.8818 + 3.63584i −1.02536 + 0.162926i
\(499\) −16.8426 39.0456i −0.753980 1.74792i −0.658615 0.752480i \(-0.728857\pi\)
−0.0953656 0.995442i \(-0.530402\pi\)
\(500\) 23.8357 3.60244i 1.06597 0.161106i
\(501\) 11.9218 14.9332i 0.532629 0.667166i
\(502\) 2.08150 4.32449i 0.0929018 0.193012i
\(503\) −2.03339 + 1.70622i −0.0906643 + 0.0760764i −0.686993 0.726664i \(-0.741070\pi\)
0.596329 + 0.802740i \(0.296625\pi\)
\(504\) −30.3489 + 21.7980i −1.35185 + 0.970961i
\(505\) −13.0191 10.9243i −0.579342 0.486126i
\(506\) −5.22181 + 2.35743i −0.232138 + 0.104801i
\(507\) −15.9636 + 33.8193i −0.708970 + 1.50197i
\(508\) −1.57399 + 7.80217i −0.0698343 + 0.346165i
\(509\) −17.4193 18.4634i −0.772099 0.818377i 0.215313 0.976545i \(-0.430923\pi\)
−0.987412 + 0.158168i \(0.949441\pi\)
\(510\) 4.51035 + 4.40219i 0.199722 + 0.194932i
\(511\) 33.9888 + 14.6614i 1.50358 + 0.648580i
\(512\) −14.1399 17.6653i −0.624900 0.780705i
\(513\) −5.71462 + 1.44541i −0.252306 + 0.0638163i
\(514\) 0.306519 0.236312i 0.0135200 0.0104233i
\(515\) 0.142205 + 1.21664i 0.00626631 + 0.0536117i
\(516\) −26.4376 + 6.26216i −1.16385 + 0.275676i
\(517\) 2.72258 + 11.4875i 0.119739 + 0.505218i
\(518\) 5.75053 + 29.6838i 0.252664 + 1.30423i
\(519\) −1.63247 + 1.61723i −0.0716573 + 0.0709886i
\(520\) −5.44409 32.3305i −0.238739 1.41779i
\(521\) 35.5689 + 6.27175i 1.55830 + 0.274770i 0.885353 0.464920i \(-0.153917\pi\)
0.672947 + 0.739691i \(0.265028\pi\)
\(522\) −41.2108 2.09244i −1.80375 0.0915838i
\(523\) −1.55256 8.80501i −0.0678888 0.385016i −0.999753 0.0222100i \(-0.992930\pi\)
0.931865 0.362806i \(-0.118181\pi\)
\(524\) 25.7048 5.42984i 1.12292 0.237204i
\(525\) −6.38363 + 5.62754i −0.278604 + 0.245606i
\(526\) 14.3137 25.7842i 0.624106 1.12424i
\(527\) −2.48242 + 3.33446i −0.108136 + 0.145252i
\(528\) 5.72708 + 6.37841i 0.249239 + 0.277585i
\(529\) 0.713978 12.2585i 0.0310425 0.532979i
\(530\) 5.96426 + 18.7670i 0.259071 + 0.815187i
\(531\) −3.16812 19.0077i −0.137485 0.824864i
\(532\) 9.94892 0.916116i 0.431340 0.0397187i
\(533\) −63.5671 15.0657i −2.75340 0.652567i
\(534\) 4.47207 33.3476i 0.193525 1.44309i
\(535\) −15.2311 + 0.887113i −0.658500 + 0.0383532i
\(536\) 14.7094 10.7755i 0.635348 0.465429i
\(537\) 14.1047 + 8.79144i 0.608662 + 0.379379i
\(538\) 1.40305 0.357560i 0.0604897 0.0154155i
\(539\) −13.2782 + 7.66615i −0.571931 + 0.330205i
\(540\) 20.4348 + 1.38524i 0.879375 + 0.0596112i
\(541\) 4.19538 + 2.42220i 0.180373 + 0.104139i 0.587468 0.809247i \(-0.300125\pi\)
−0.407095 + 0.913386i \(0.633458\pi\)
\(542\) 34.1249 + 9.59386i 1.46579 + 0.412092i
\(543\) −13.7445 + 34.1299i −0.589834 + 1.46465i
\(544\) 1.09339 7.30383i 0.0468786 0.313149i
\(545\) 15.1118 30.0900i 0.647318 1.28892i
\(546\) 42.7472 + 46.8767i 1.82941 + 2.00614i
\(547\) −7.66498 25.6028i −0.327731 1.09470i −0.950093 0.311968i \(-0.899012\pi\)
0.622362 0.782730i \(-0.286173\pi\)
\(548\) −0.320977 + 0.696607i −0.0137115 + 0.0297576i
\(549\) −13.5201 + 17.8096i −0.577026 + 0.760097i
\(550\) 1.44240 + 1.31568i 0.0615040 + 0.0561008i
\(551\) 9.21817 + 6.06288i 0.392707 + 0.258288i
\(552\) 15.5442 3.95918i 0.661604 0.168514i
\(553\) −31.4472 3.67566i −1.33727 0.156305i
\(554\) 11.4541 6.87251i 0.486639 0.291985i
\(555\) 7.93405 14.5509i 0.336782 0.617652i
\(556\) −12.2877 + 11.0358i −0.521113 + 0.468023i
\(557\) 27.5632 + 10.0322i 1.16789 + 0.425077i 0.851910 0.523689i \(-0.175445\pi\)
0.315980 + 0.948766i \(0.397667\pi\)
\(558\) 0.885907 + 13.4802i 0.0375035 + 0.570663i
\(559\) 15.7769 + 43.3466i 0.667291 + 1.83337i
\(560\) −33.8513 7.69778i −1.43048 0.325290i
\(561\) −0.256911 + 2.78602i −0.0108468 + 0.117626i
\(562\) −2.98045 3.43299i −0.125723 0.144812i
\(563\) −4.73564 1.41776i −0.199583 0.0597514i 0.185451 0.982653i \(-0.440625\pi\)
−0.385035 + 0.922902i \(0.625811\pi\)
\(564\) −1.91751 32.9971i −0.0807419 1.38943i
\(565\) −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 −0.116066 0.993241i \(-0.537029\pi\)
0.918227 + 0.396055i \(0.129621\pi\)
\(570\) −4.52385 3.08651i −0.189483 0.129280i
\(571\) −1.46389 + 4.88974i −0.0612620 + 0.204629i −0.983141 0.182848i \(-0.941468\pi\)
0.921879 + 0.387477i \(0.126653\pi\)
\(572\) 9.62595 10.9164i 0.402481 0.456436i
\(573\) −10.5491 + 4.85905i −0.440695 + 0.202990i
\(574\) −40.3682 + 56.1725i −1.68494 + 2.34459i
\(575\) 3.43287 1.24946i 0.143161 0.0521062i
\(576\) −12.6870 20.3725i −0.528626 0.848855i
\(577\) −4.01671 1.46196i −0.167218 0.0608622i 0.257055 0.966397i \(-0.417248\pi\)
−0.424272 + 0.905535i \(0.639470\pi\)
\(578\) −17.8701 + 12.1889i −0.743298 + 0.506991i
\(579\) −32.3345 + 19.7356i −1.34378 + 0.820183i
\(580\) −23.9148 29.9635i −0.993006 1.24417i
\(581\) 41.3706 + 4.83553i 1.71634 + 0.200612i
\(582\) 13.0677 + 23.5469i 0.541672 + 0.976052i
\(583\) −4.80362 + 7.30355i −0.198946 + 0.302482i
\(584\) −10.8339 + 21.1636i −0.448309 + 0.875755i
\(585\) −1.69639 34.7331i −0.0701371 1.43604i
\(586\) −4.13393 2.62038i −0.170771 0.108247i
\(587\) 6.75425 2.02209i 0.278778 0.0834606i −0.144362 0.989525i \(-0.546113\pi\)
0.423140 + 0.906064i \(0.360928\pi\)
\(588\) 40.3395 14.6764i 1.66357 0.605243i
\(589\) 1.62114 3.22795i 0.0667977 0.133005i
\(590\) 11.2756 13.9062i 0.464207 0.572510i
\(591\) 3.07278 + 21.6861i 0.126397 + 0.892049i
\(592\) −19.2677 + 2.43025i −0.791897 + 0.0998827i
\(593\) −14.1014 8.14147i −0.579077 0.334330i 0.181690 0.983356i \(-0.441843\pi\)
−0.760766 + 0.649026i \(0.775177\pi\)
\(594\) 5.23563 + 7.43352i 0.214821 + 0.305001i
\(595\) −5.66528 9.81256i −0.232254 0.402276i
\(596\) −19.8753 + 8.00099i −0.814123 + 0.327733i
\(597\) −18.1576 + 9.68088i −0.743139 + 0.396212i
\(598\) −9.74376 25.4313i −0.398452 1.03996i
\(599\) 0.107112 + 1.83904i 0.00437648 + 0.0751413i 0.999789 0.0205330i \(-0.00653631\pi\)
−0.995413 + 0.0956743i \(0.969499\pi\)
\(600\) −3.33676 4.32927i −0.136223 0.176742i
\(601\) −41.0427 9.72731i −1.67417 0.396785i −0.719508 0.694484i \(-0.755633\pi\)
−0.954660 + 0.297699i \(0.903781\pi\)
\(602\) 48.8019 + 2.01935i 1.98902 + 0.0823026i
\(603\) 16.8389 9.51255i 0.685731 0.387381i
\(604\) 9.02752 4.25979i 0.367325 0.173328i
\(605\) −1.08511 + 18.6306i −0.0441160 + 0.757443i
\(606\) −4.02003 + 20.7365i −0.163303 + 0.842365i
\(607\) 17.0823 + 12.7173i 0.693349 + 0.516179i 0.885180 0.465249i \(-0.154035\pi\)
−0.191831 + 0.981428i \(0.561443\pi\)
\(608\) 0.166417 + 6.41504i 0.00674908 + 0.260164i
\(609\) 70.3073 + 23.6636i 2.84899 + 0.958899i
\(610\) −20.7158 + 1.55661i −0.838757 + 0.0630253i
\(611\) −55.2654 + 9.74478i −2.23580 + 0.394232i
\(612\) 2.06382 7.55644i 0.0834251 0.305451i
\(613\) 41.6084 + 7.33668i 1.68055 + 0.296326i 0.930835 0.365439i \(-0.119081\pi\)
0.749712 + 0.661765i \(0.230192\pi\)
\(614\) −26.6557 2.66190i −1.07573 0.107426i
\(615\) 36.6703 9.64175i 1.47869 0.388793i
\(616\) −6.81002 13.8246i −0.274384 0.557009i
\(617\) 0.886927 + 3.74224i 0.0357063 + 0.150657i 0.987978 0.154595i \(-0.0494074\pi\)
−0.952272 + 0.305252i \(0.901259\pi\)
\(618\) 1.23640 0.888286i 0.0497351 0.0357321i
\(619\) 28.4587 3.32635i 1.14385 0.133697i 0.477012 0.878897i \(-0.341720\pi\)
0.666841 + 0.745200i \(0.267646\pi\)
\(620\) −8.83443 + 8.91530i −0.354799 + 0.358047i
\(621\) 16.8669 2.22882i 0.676844 0.0894394i
\(622\) 14.5711 35.4058i 0.584249 1.41964i
\(623\) −23.9580 + 55.5410i −0.959858 + 2.22520i
\(624\) −31.8512 + 25.4145i −1.27507 + 1.01739i
\(625\) 12.4735 + 13.2211i 0.498938 + 0.528844i
\(626\) −43.6385 15.0567i −1.74415 0.601788i
\(627\) −0.200530 2.42283i −0.00800841 0.0967586i
\(628\) −17.9432 + 11.1807i −0.716011 + 0.446158i
\(629\) −4.85556 4.07430i −0.193604 0.162453i
\(630\) −34.6936 12.3356i −1.38222 0.491463i
\(631\) 6.35636 + 7.57521i 0.253043 + 0.301564i 0.877580 0.479431i \(-0.159157\pi\)
−0.624537 + 0.780995i \(0.714712\pi\)
\(632\) 3.68560 19.9992i 0.146605 0.795526i
\(633\) −7.56932 19.3165i −0.300854 0.767764i
\(634\) −49.4698 + 0.832293i −1.96470 + 0.0330546i
\(635\) −7.20190 + 3.10660i −0.285799 + 0.123282i
\(636\) 16.7976 17.7997i 0.666068 0.705806i
\(637\) −32.7092 65.1294i −1.29599 2.58052i
\(638\) 3.64563 16.6235i 0.144332 0.658131i
\(639\) −5.44451 + 1.57451i −0.215381 + 0.0622867i
\(640\) 6.36506 21.3699i 0.251601 0.844719i
\(641\) 21.5166 + 20.2999i 0.849856 + 0.801798i 0.981891 0.189447i \(-0.0606695\pi\)
−0.132035 + 0.991245i \(0.542151\pi\)
\(642\) 10.1498 + 16.0171i 0.400582 + 0.632143i
\(643\) −10.9854 + 7.22524i −0.433224 + 0.284936i −0.747331 0.664452i \(-0.768665\pi\)
0.314108 + 0.949387i \(0.398295\pi\)
\(644\) −28.8283 0.707366i −1.13600 0.0278741i
\(645\) −19.9166 17.8923i −0.784214 0.704507i
\(646\) −1.49907 + 1.46274i −0.0589800 + 0.0575506i
\(647\) 2.33887 0.0919507 0.0459753 0.998943i \(-0.485360\pi\)
0.0459753 + 0.998943i \(0.485360\pi\)
\(648\) −10.8187 23.0425i −0.424999 0.905194i
\(649\) 7.94755 0.311968
\(650\) −6.64212 + 6.48114i −0.260526 + 0.254211i
\(651\) 5.02261 23.7615i 0.196852 0.931288i
\(652\) 1.00903 41.1224i 0.0395166 1.61048i
\(653\) 24.7198 16.2585i 0.967361 0.636243i 0.0356194 0.999365i \(-0.488660\pi\)
0.931742 + 0.363122i \(0.118289\pi\)
\(654\) −41.8134 + 1.72468i −1.63503 + 0.0674403i
\(655\) 18.8311 + 17.7662i 0.735792 + 0.694184i
\(656\) −34.2941 28.2476i −1.33896 1.10288i
\(657\) −14.0542 + 20.9382i −0.548308 + 0.816876i
\(658\) −12.7289 + 58.0417i −0.496223 + 2.26270i
\(659\) 22.1314 + 44.0672i 0.862116 + 1.71661i 0.679831 + 0.733368i \(0.262053\pi\)
0.182285 + 0.983246i \(0.441651\pi\)
\(660\) −1.94917 + 8.21938i −0.0758713 + 0.319939i
\(661\) −13.1536 + 5.67392i −0.511617 + 0.220690i −0.636207 0.771518i \(-0.719498\pi\)
0.124590 + 0.992208i \(0.460238\pi\)
\(662\) 34.9844 0.588588i 1.35971 0.0228761i
\(663\) −13.1499 1.98918i −0.510698 0.0772534i
\(664\) −4.84862 + 26.3101i −0.188163 + 1.02103i
\(665\) 6.32851 + 7.54202i 0.245409 + 0.292467i
\(666\) −20.5978 + 0.153396i −0.798149 + 0.00594396i
\(667\) −24.3949 20.4698i −0.944575 0.792592i
\(668\) −11.6688 18.7265i −0.451479 0.724549i
\(669\) −25.7631 + 17.8601i −0.996059 + 0.690512i
\(670\) 16.9856 + 5.86059i 0.656210 + 0.226414i
\(671\) −6.32857 6.70789i −0.244312 0.258955i
\(672\) 12.0500 + 41.4295i 0.464841 + 1.59818i
\(673\) −11.5473 + 26.7696i −0.445115 + 1.03189i 0.536995 + 0.843585i \(0.319559\pi\)
−0.982110 + 0.188307i \(0.939700\pi\)
\(674\) 8.37526 20.3507i 0.322603 0.783879i
\(675\) −2.97387 4.97667i −0.114464 0.191552i
\(676\) 30.6738 + 30.3956i 1.17976 + 1.16906i
\(677\) 17.8141 2.08217i 0.684653 0.0800245i 0.233347 0.972394i \(-0.425032\pi\)
0.451306 + 0.892369i \(0.350958\pi\)
\(678\) 9.69190 + 4.37702i 0.372215 + 0.168098i
\(679\) −11.1650 47.1087i −0.428472 1.80787i
\(680\) 6.52848 3.21594i 0.250356 0.123326i
\(681\) −2.39668 + 8.77968i −0.0918408 + 0.336438i
\(682\) −5.54410 0.553649i −0.212295 0.0212003i
\(683\) 5.31246 + 0.936729i 0.203275 + 0.0358429i 0.274359 0.961627i \(-0.411534\pi\)
−0.0710832 + 0.997470i \(0.522646\pi\)
\(684\) −0.625892 + 6.77763i −0.0239316 + 0.259149i
\(685\) −0.744339 + 0.131247i −0.0284397 + 0.00501469i
\(686\) −33.4836 + 2.51600i −1.27841 + 0.0960613i
\(687\) −2.77981 13.7887i −0.106056 0.526072i
\(688\) −3.35798 + 31.1919i −0.128022 + 1.18918i
\(689\) −33.3308 24.8138i −1.26980 0.945332i
\(690\) 11.9347 + 10.3642i 0.454345 + 0.394558i
\(691\) 1.36218 23.3878i 0.0518199 0.889713i −0.867802 0.496909i \(-0.834468\pi\)
0.919622 0.392804i \(-0.128495\pi\)
\(692\) 1.13232 + 2.39966i 0.0430443 + 0.0912213i
\(693\) −5.44632 15.4117i −0.206888 0.585442i
\(694\) −23.4562 0.970582i −0.890384 0.0368428i
\(695\) −15.8366 3.75333i −0.600715 0.142372i
\(696\) −18.1393 + 44.0595i −0.687569 + 1.67007i
\(697\) −0.843168 14.4766i −0.0319373 0.548341i
\(698\) −6.19583 16.1712i −0.234516 0.612088i
\(699\) −0.884164 + 26.1668i −0.0334422 + 0.989721i
\(700\) 3.66957 + 9.11560i 0.138697 + 0.344537i
\(701\) −4.60204 7.97096i −0.173816 0.301059i 0.765935 0.642919i \(-0.222277\pi\)
−0.939751 + 0.341860i \(0.888943\pi\)
\(702\) −36.7223 + 22.7907i −1.38599 + 0.860181i
\(703\) 4.76978 + 2.75383i 0.179896 + 0.103863i
\(704\) 9.14823 3.77995i 0.344787 0.142462i
\(705\) 25.6437 20.0817i 0.965797 0.756322i
\(706\) 14.4416 17.8109i 0.543517 0.670323i
\(707\) 17.0425 33.9344i 0.640948 1.27623i
\(708\) −21.9124 3.86672i −0.823520 0.145320i
\(709\) −46.9654 + 14.0605i −1.76382 + 0.528054i −0.993920 0.110106i \(-0.964881\pi\)
−0.769904 + 0.638160i \(0.779696\pi\)
\(710\) −4.44740 2.81908i −0.166908 0.105798i
\(711\) 6.37968 20.6045i 0.239257 0.772730i
\(712\) −34.5833 17.7035i −1.29606 0.663468i
\(713\) −5.72906 + 8.71061i −0.214555 + 0.326215i
\(714\) −7.24687 + 12.0745i −0.271207 + 0.451876i
\(715\) 14.2452 + 1.66502i 0.532739 + 0.0622682i
\(716\) 14.9996 11.9716i 0.560562 0.447401i
\(717\) −0.525176 21.5184i −0.0196131 0.803621i
\(718\) 23.3861 15.9512i 0.872760 0.595294i
\(719\) 22.6920 + 8.25922i 0.846270 + 0.308017i 0.728518 0.685026i \(-0.240209\pi\)
0.117751 + 0.993043i \(0.462431\pi\)
\(720\) 9.37309 21.7136i 0.349314 0.809218i
\(721\) −2.57187 + 0.936086i −0.0957816 + 0.0348617i
\(722\) −14.6188 + 20.3421i −0.544054 + 0.757054i
\(723\) 30.1527 + 21.3245i 1.12139 + 0.793068i
\(724\) 31.8661 + 28.0992i 1.18429 + 1.04430i
\(725\) −3.11227 + 10.3957i −0.115587 + 0.386087i
\(726\) 20.9008 10.0568i 0.775702 0.373241i
\(727\) −12.9794 + 9.66282i −0.481380 + 0.358374i −0.810331 0.585973i \(-0.800713\pi\)
0.328950 + 0.944347i \(0.393305\pi\)
\(728\) 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
\(732\) 14.1851 + 21.5736i 0.524297 + 0.797383i
\(733\) 24.2283 + 7.25347i 0.894892 + 0.267913i 0.701044 0.713118i \(-0.252718\pi\)
0.193849 + 0.981031i \(0.437903\pi\)
\(734\) −14.8699 17.1277i −0.548859 0.632195i
\(735\) 34.5366 + 24.4249i 1.27390 + 0.900926i
\(736\) 1.67246 18.4463i 0.0616478 0.679939i
\(737\) 2.72811 + 7.49541i 0.100491 + 0.276097i
\(738\) −32.5935 34.0357i −1.19978 1.25287i
\(739\) 2.91571 + 1.06123i 0.107256 + 0.0390380i 0.395091 0.918642i \(-0.370713\pi\)
−0.287835 + 0.957680i \(0.592935\pi\)
\(740\) −12.7874 14.2379i −0.470075 0.523397i
\(741\) 11.5528 0.281956i 0.424402 0.0103579i
\(742\) −37.7288 + 22.6374i −1.38507 + 0.831044i
\(743\) 17.3462 + 2.02748i 0.636372 + 0.0743812i 0.428161 0.903703i \(-0.359162\pi\)
0.208211 + 0.978084i \(0.433236\pi\)
\(744\) 15.0165 + 4.22385i 0.550530 + 0.154854i
\(745\) −17.6397 11.6018i −0.646268 0.425057i
\(746\) 14.6253 + 13.3404i 0.535469 + 0.488427i
\(747\) −8.39283 + 27.1064i −0.307078 + 0.991771i
\(748\) 2.93417 + 1.35198i 0.107284 + 0.0494335i
\(749\) −9.77701 32.6575i −0.357244 1.19328i
\(750\) 8.94593 28.1363i 0.326659 1.02739i
\(751\) −6.90204 + 13.7431i −0.251859 + 0.501492i −0.983662 0.180024i \(-0.942383\pi\)
0.731803 + 0.681516i \(0.238679\pi\)
\(752\) −36.6609 10.6125i −1.33688 0.386998i
\(753\) −3.62409 4.62783i −0.132069 0.168648i
\(754\) 77.8780 + 21.8946i 2.83615 + 0.797355i
\(755\) 8.51876 + 4.91831i 0.310029 + 0.178996i
\(756\) 7.51796 + 45.1419i 0.273425 + 1.64179i
\(757\) −0.503955 + 0.290958i −0.0183165 + 0.0105751i −0.509130 0.860689i \(-0.670033\pi\)
0.490814 + 0.871265i \(0.336700\pi\)
\(758\) 8.18433 2.08573i 0.297268 0.0757573i
\(759\) −0.236963 + 7.01292i −0.00860121 + 0.254553i
\(760\) −5.10134 + 3.73703i −0.185045 + 0.135556i
\(761\) −23.2513 + 1.35424i −0.842861 + 0.0490910i −0.474140 0.880449i \(-0.657241\pi\)
−0.368720 + 0.929540i \(0.620204\pi\)
\(762\) 7.71942 + 5.95293i 0.279645 + 0.215652i
\(763\) 73.2067 + 17.3503i 2.65026 + 0.628123i
\(764\) 1.22972 + 13.3546i 0.0444897 + 0.483154i
\(765\) 7.27797 2.57195i 0.263136 0.0929891i
\(766\) −1.01115 3.18168i −0.0365345 0.114959i
\(767\) −2.19662 + 37.7145i −0.0793153 + 1.36179i
\(768\) −27.0619 + 5.97093i −0.976513 + 0.215457i
\(769\) 7.40464 9.94616i 0.267018 0.358668i −0.648310 0.761376i \(-0.724524\pi\)
0.915328 + 0.402709i \(0.131931\pi\)
\(770\) 7.37085 13.2776i 0.265627 0.478492i
\(771\) −0.0936782 0.464673i −0.00337374 0.0167348i
\(772\) 9.04048 + 42.7975i 0.325374 + 1.54031i
\(773\) −2.41125 13.6749i −0.0867265