Properties

Label 190.2.k.d.161.2
Level $190$
Weight $2$
Character 190.161
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 161.2
Root \(0.554587 + 0.960572i\) of defining polynomial
Character \(\chi\) \(=\) 190.161
Dual form 190.2.k.d.131.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.849676 + 0.712963i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(0.849676 + 0.712963i) q^{6} +(-2.46456 + 4.26875i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.307311 + 1.74285i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.849676 + 0.712963i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(0.849676 + 0.712963i) q^{6} +(-2.46456 + 4.26875i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.307311 + 1.74285i) q^{9} +(-0.173648 + 0.984808i) q^{10} +(-2.20561 - 3.82023i) q^{11} +(0.554587 - 0.960572i) q^{12} +(2.02230 + 1.69691i) q^{13} +(4.63187 + 1.68586i) q^{14} +(1.04228 - 0.379360i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.872649 + 4.94904i) q^{17} +1.76973 q^{18} +(-4.21347 + 1.11656i) q^{19} +1.00000 q^{20} +(-0.949379 - 5.38420i) q^{21} +(-3.37919 + 2.83548i) q^{22} +(0.964570 - 0.351075i) q^{23} +(-1.04228 - 0.379360i) q^{24} +(0.766044 + 0.642788i) q^{25} +(1.31996 - 2.28624i) q^{26} +(-2.64523 - 4.58167i) q^{27} +(0.855934 - 4.85424i) q^{28} +(0.462691 - 2.62405i) q^{29} +(-0.554587 - 0.960572i) q^{30} +(-1.01615 + 1.76003i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(4.59773 + 1.67344i) q^{33} +(4.72232 - 1.71878i) q^{34} +(3.77593 - 3.16838i) q^{35} +(-0.307311 - 1.74285i) q^{36} +2.00107 q^{37} +(1.83126 + 3.95557i) q^{38} -2.92813 q^{39} +(-0.173648 - 0.984808i) q^{40} +(1.65005 - 1.38456i) q^{41} +(-5.13754 + 1.86991i) q^{42} +(-1.41929 - 0.516578i) q^{43} +(3.37919 + 2.83548i) q^{44} +(0.884867 - 1.53264i) q^{45} +(-0.513237 - 0.888952i) q^{46} +(0.310895 - 1.76317i) q^{47} +(-0.192606 + 1.09232i) q^{48} +(-8.64815 - 14.9790i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-4.26995 - 3.58291i) q^{51} +(-2.48072 - 0.902907i) q^{52} +(-5.28457 + 1.92343i) q^{53} +(-4.05273 + 3.40064i) q^{54} +(0.766000 + 4.34420i) q^{55} -4.92913 q^{56} +(2.78402 - 3.95276i) q^{57} -2.66453 q^{58} +(2.44041 + 13.8402i) q^{59} +(-0.849676 + 0.712963i) q^{60} +(13.6360 - 4.96308i) q^{61} +(1.90974 + 0.695088i) q^{62} +(-6.68240 - 5.60720i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-1.31996 - 2.28624i) q^{65} +(0.849627 - 4.81847i) q^{66} +(-2.36894 + 13.4349i) q^{67} +(-2.51269 - 4.35211i) q^{68} +(-0.569269 + 0.986002i) q^{69} +(-3.77593 - 3.16838i) q^{70} +(14.6575 + 5.33488i) q^{71} +(-1.66301 + 0.605285i) q^{72} +(-9.66157 + 8.10702i) q^{73} +(-0.347483 - 1.97067i) q^{74} -1.10917 q^{75} +(3.57748 - 2.49031i) q^{76} +21.7435 q^{77} +(0.508465 + 2.88365i) q^{78} +(-2.17143 + 1.82205i) q^{79} +(-0.939693 + 0.342020i) q^{80} +(0.525132 + 0.191132i) q^{81} +(-1.65005 - 1.38456i) q^{82} +(3.64153 - 6.30732i) q^{83} +(2.73363 + 4.73478i) q^{84} +(0.872649 - 4.94904i) q^{85} +(-0.262274 + 1.48743i) q^{86} +(1.47771 + 2.55947i) q^{87} +(2.20561 - 3.82023i) q^{88} +(7.72995 + 6.48620i) q^{89} +(-1.66301 - 0.605285i) q^{90} +(-12.2278 + 4.45054i) q^{91} +(-0.786325 + 0.659805i) q^{92} +(-0.391433 - 2.21993i) q^{93} -1.79037 q^{94} +(4.34125 + 0.391869i) q^{95} +1.10917 q^{96} +(2.06772 + 11.7266i) q^{97} +(-13.2497 + 11.1179i) q^{98} +(7.33589 - 2.67005i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) −0.849676 + 0.712963i −0.490561 + 0.411629i −0.854227 0.519900i \(-0.825969\pi\)
0.363667 + 0.931529i \(0.381525\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.939693 0.342020i −0.420243 0.152956i
\(6\) 0.849676 + 0.712963i 0.346879 + 0.291066i
\(7\) −2.46456 + 4.26875i −0.931518 + 1.61344i −0.150789 + 0.988566i \(0.548181\pi\)
−0.780729 + 0.624870i \(0.785152\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −0.307311 + 1.74285i −0.102437 + 0.580950i
\(10\) −0.173648 + 0.984808i −0.0549124 + 0.311424i
\(11\) −2.20561 3.82023i −0.665016 1.15184i −0.979281 0.202507i \(-0.935091\pi\)
0.314264 0.949336i \(-0.398242\pi\)
\(12\) 0.554587 0.960572i 0.160095 0.277293i
\(13\) 2.02230 + 1.69691i 0.560884 + 0.470638i 0.878607 0.477546i \(-0.158474\pi\)
−0.317722 + 0.948184i \(0.602918\pi\)
\(14\) 4.63187 + 1.68586i 1.23792 + 0.450565i
\(15\) 1.04228 0.379360i 0.269116 0.0979502i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.872649 + 4.94904i 0.211649 + 1.20032i 0.886628 + 0.462483i \(0.153041\pi\)
−0.674980 + 0.737836i \(0.735848\pi\)
\(18\) 1.76973 0.417131
\(19\) −4.21347 + 1.11656i −0.966635 + 0.256156i
\(20\) 1.00000 0.223607
\(21\) −0.949379 5.38420i −0.207172 1.17493i
\(22\) −3.37919 + 2.83548i −0.720446 + 0.604526i
\(23\) 0.964570 0.351075i 0.201127 0.0732041i −0.239493 0.970898i \(-0.576981\pi\)
0.440619 + 0.897694i \(0.354759\pi\)
\(24\) −1.04228 0.379360i −0.212755 0.0774364i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) 1.31996 2.28624i 0.258866 0.448368i
\(27\) −2.64523 4.58167i −0.509075 0.881744i
\(28\) 0.855934 4.85424i 0.161756 0.917366i
\(29\) 0.462691 2.62405i 0.0859196 0.487274i −0.911235 0.411887i \(-0.864870\pi\)
0.997154 0.0753868i \(-0.0240192\pi\)
\(30\) −0.554587 0.960572i −0.101253 0.175376i
\(31\) −1.01615 + 1.76003i −0.182506 + 0.316110i −0.942733 0.333547i \(-0.891754\pi\)
0.760227 + 0.649657i \(0.225088\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) 4.59773 + 1.67344i 0.800363 + 0.291308i
\(34\) 4.72232 1.71878i 0.809871 0.294769i
\(35\) 3.77593 3.16838i 0.638249 0.535554i
\(36\) −0.307311 1.74285i −0.0512185 0.290475i
\(37\) 2.00107 0.328975 0.164487 0.986379i \(-0.447403\pi\)
0.164487 + 0.986379i \(0.447403\pi\)
\(38\) 1.83126 + 3.95557i 0.297069 + 0.641678i
\(39\) −2.92813 −0.468876
\(40\) −0.173648 0.984808i −0.0274562 0.155712i
\(41\) 1.65005 1.38456i 0.257695 0.216232i −0.504782 0.863247i \(-0.668427\pi\)
0.762477 + 0.647015i \(0.223983\pi\)
\(42\) −5.13754 + 1.86991i −0.792740 + 0.288534i
\(43\) −1.41929 0.516578i −0.216439 0.0787775i 0.231525 0.972829i \(-0.425629\pi\)
−0.447964 + 0.894052i \(0.647851\pi\)
\(44\) 3.37919 + 2.83548i 0.509432 + 0.427464i
\(45\) 0.884867 1.53264i 0.131908 0.228472i
\(46\) −0.513237 0.888952i −0.0756727 0.131069i
\(47\) 0.310895 1.76317i 0.0453486 0.257185i −0.953702 0.300754i \(-0.902762\pi\)
0.999050 + 0.0435690i \(0.0138728\pi\)
\(48\) −0.192606 + 1.09232i −0.0278003 + 0.157663i
\(49\) −8.64815 14.9790i −1.23545 2.13986i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −4.26995 3.58291i −0.597913 0.501708i
\(52\) −2.48072 0.902907i −0.344013 0.125211i
\(53\) −5.28457 + 1.92343i −0.725891 + 0.264203i −0.678425 0.734670i \(-0.737337\pi\)
−0.0474667 + 0.998873i \(0.515115\pi\)
\(54\) −4.05273 + 3.40064i −0.551507 + 0.462769i
\(55\) 0.766000 + 4.34420i 0.103287 + 0.585772i
\(56\) −4.92913 −0.658683
\(57\) 2.78402 3.95276i 0.368752 0.523555i
\(58\) −2.66453 −0.349870
\(59\) 2.44041 + 13.8402i 0.317714 + 1.80184i 0.556583 + 0.830792i \(0.312112\pi\)
−0.238869 + 0.971052i \(0.576777\pi\)
\(60\) −0.849676 + 0.712963i −0.109693 + 0.0920431i
\(61\) 13.6360 4.96308i 1.74590 0.635457i 0.746358 0.665545i \(-0.231801\pi\)
0.999547 + 0.0300876i \(0.00957861\pi\)
\(62\) 1.90974 + 0.695088i 0.242537 + 0.0882763i
\(63\) −6.68240 5.60720i −0.841903 0.706441i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −1.31996 2.28624i −0.163721 0.283573i
\(66\) 0.849627 4.81847i 0.104582 0.593113i
\(67\) −2.36894 + 13.4349i −0.289412 + 1.64134i 0.399674 + 0.916657i \(0.369123\pi\)
−0.689086 + 0.724679i \(0.741988\pi\)
\(68\) −2.51269 4.35211i −0.304709 0.527771i
\(69\) −0.569269 + 0.986002i −0.0685319 + 0.118701i
\(70\) −3.77593 3.16838i −0.451310 0.378694i
\(71\) 14.6575 + 5.33488i 1.73952 + 0.633134i 0.999233 0.0391574i \(-0.0124674\pi\)
0.740287 + 0.672291i \(0.234690\pi\)
\(72\) −1.66301 + 0.605285i −0.195987 + 0.0713335i
\(73\) −9.66157 + 8.10702i −1.13080 + 0.948855i −0.999099 0.0424348i \(-0.986489\pi\)
−0.131702 + 0.991289i \(0.542044\pi\)
\(74\) −0.347483 1.97067i −0.0403941 0.229086i
\(75\) −1.10917 −0.128076
\(76\) 3.57748 2.49031i 0.410365 0.285658i
\(77\) 21.7435 2.47790
\(78\) 0.508465 + 2.88365i 0.0575723 + 0.326509i
\(79\) −2.17143 + 1.82205i −0.244305 + 0.204996i −0.756716 0.653744i \(-0.773197\pi\)
0.512410 + 0.858741i \(0.328753\pi\)
\(80\) −0.939693 + 0.342020i −0.105061 + 0.0382390i
\(81\) 0.525132 + 0.191132i 0.0583480 + 0.0212369i
\(82\) −1.65005 1.38456i −0.182218 0.152899i
\(83\) 3.64153 6.30732i 0.399710 0.692318i −0.593980 0.804480i \(-0.702444\pi\)
0.993690 + 0.112162i \(0.0357775\pi\)
\(84\) 2.73363 + 4.73478i 0.298263 + 0.516607i
\(85\) 0.872649 4.94904i 0.0946521 0.536799i
\(86\) −0.262274 + 1.48743i −0.0282817 + 0.160394i
\(87\) 1.47771 + 2.55947i 0.158428 + 0.274404i
\(88\) 2.20561 3.82023i 0.235119 0.407238i
\(89\) 7.72995 + 6.48620i 0.819373 + 0.687536i 0.952825 0.303520i \(-0.0981618\pi\)
−0.133452 + 0.991055i \(0.542606\pi\)
\(90\) −1.66301 0.605285i −0.175296 0.0638026i
\(91\) −12.2278 + 4.45054i −1.28182 + 0.466544i
\(92\) −0.786325 + 0.659805i −0.0819800 + 0.0687894i
\(93\) −0.391433 2.21993i −0.0405897 0.230196i
\(94\) −1.79037 −0.184663
\(95\) 4.34125 + 0.391869i 0.445403 + 0.0402049i
\(96\) 1.10917 0.113205
\(97\) 2.06772 + 11.7266i 0.209945 + 1.19066i 0.889466 + 0.457002i \(0.151077\pi\)
−0.679521 + 0.733656i \(0.737812\pi\)
\(98\) −13.2497 + 11.1179i −1.33843 + 1.12307i
\(99\) 7.33589 2.67005i 0.737285 0.268350i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −1.10632 0.928316i −0.110083 0.0923709i 0.586085 0.810250i \(-0.300669\pi\)
−0.696168 + 0.717879i \(0.745113\pi\)
\(102\) −2.78701 + 4.82725i −0.275955 + 0.477969i
\(103\) 2.23068 + 3.86364i 0.219795 + 0.380696i 0.954745 0.297425i \(-0.0961278\pi\)
−0.734950 + 0.678121i \(0.762794\pi\)
\(104\) −0.458418 + 2.59982i −0.0449515 + 0.254933i
\(105\) −0.949379 + 5.38420i −0.0926499 + 0.525444i
\(106\) 2.81186 + 4.87029i 0.273112 + 0.473044i
\(107\) 3.93147 6.80951i 0.380070 0.658300i −0.611002 0.791629i \(-0.709233\pi\)
0.991072 + 0.133329i \(0.0425667\pi\)
\(108\) 4.05273 + 3.40064i 0.389974 + 0.327227i
\(109\) 2.37019 + 0.862678i 0.227023 + 0.0826296i 0.453027 0.891497i \(-0.350344\pi\)
−0.226004 + 0.974126i \(0.572566\pi\)
\(110\) 4.14519 1.50873i 0.395228 0.143851i
\(111\) −1.70027 + 1.42669i −0.161382 + 0.135416i
\(112\) 0.855934 + 4.85424i 0.0808782 + 0.458683i
\(113\) 2.59814 0.244413 0.122206 0.992505i \(-0.461003\pi\)
0.122206 + 0.992505i \(0.461003\pi\)
\(114\) −4.37615 2.05533i −0.409864 0.192499i
\(115\) −1.02647 −0.0957192
\(116\) 0.462691 + 2.62405i 0.0429598 + 0.243637i
\(117\) −3.57893 + 3.00308i −0.330872 + 0.277635i
\(118\) 13.2062 4.80666i 1.21573 0.442489i
\(119\) −23.2769 8.47211i −2.13379 0.776637i
\(120\) 0.849676 + 0.712963i 0.0775644 + 0.0650843i
\(121\) −4.22943 + 7.32559i −0.384494 + 0.665963i
\(122\) −7.25554 12.5670i −0.656886 1.13776i
\(123\) −0.414871 + 2.35285i −0.0374077 + 0.212150i
\(124\) 0.352906 2.00143i 0.0316919 0.179733i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −4.36163 + 7.55456i −0.388564 + 0.673013i
\(127\) −15.8752 13.3209i −1.40869 1.18204i −0.957080 0.289822i \(-0.906404\pi\)
−0.451614 0.892213i \(-0.649152\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) 1.57424 0.572975i 0.138604 0.0504476i
\(130\) −2.02230 + 1.69691i −0.177367 + 0.148829i
\(131\) −0.301638 1.71068i −0.0263543 0.149462i 0.968791 0.247879i \(-0.0797334\pi\)
−0.995145 + 0.0984163i \(0.968622\pi\)
\(132\) −4.89281 −0.425864
\(133\) 5.61805 20.7381i 0.487147 1.79822i
\(134\) 13.6422 1.17850
\(135\) 0.918679 + 5.21009i 0.0790673 + 0.448413i
\(136\) −3.84967 + 3.23026i −0.330107 + 0.276992i
\(137\) −2.34703 + 0.854249i −0.200520 + 0.0729834i −0.440328 0.897837i \(-0.645138\pi\)
0.239808 + 0.970820i \(0.422916\pi\)
\(138\) 1.06988 + 0.389403i 0.0910738 + 0.0331482i
\(139\) 9.06390 + 7.60552i 0.768790 + 0.645092i 0.940399 0.340074i \(-0.110452\pi\)
−0.171609 + 0.985165i \(0.554896\pi\)
\(140\) −2.46456 + 4.26875i −0.208294 + 0.360775i
\(141\) 0.992916 + 1.71978i 0.0836186 + 0.144832i
\(142\) 2.70859 15.3612i 0.227300 1.28908i
\(143\) 2.02218 11.4684i 0.169103 0.959032i
\(144\) 0.884867 + 1.53264i 0.0737390 + 0.127720i
\(145\) −1.33227 + 2.30755i −0.110639 + 0.191632i
\(146\) 9.66157 + 8.10702i 0.799597 + 0.670942i
\(147\) 18.0276 + 6.56152i 1.48689 + 0.541185i
\(148\) −1.88040 + 0.684408i −0.154568 + 0.0562580i
\(149\) −15.4299 + 12.9472i −1.26406 + 1.06068i −0.268828 + 0.963188i \(0.586636\pi\)
−0.995237 + 0.0974880i \(0.968919\pi\)
\(150\) 0.192606 + 1.09232i 0.0157262 + 0.0891877i
\(151\) −7.67871 −0.624885 −0.312442 0.949937i \(-0.601147\pi\)
−0.312442 + 0.949937i \(0.601147\pi\)
\(152\) −3.07370 3.09069i −0.249310 0.250688i
\(153\) −8.89360 −0.719005
\(154\) −3.77571 21.4131i −0.304256 1.72552i
\(155\) 1.55683 1.30634i 0.125048 0.104928i
\(156\) 2.75154 1.00148i 0.220300 0.0801825i
\(157\) 5.45088 + 1.98396i 0.435027 + 0.158337i 0.550245 0.835003i \(-0.314534\pi\)
−0.115218 + 0.993340i \(0.536757\pi\)
\(158\) 2.17143 + 1.82205i 0.172750 + 0.144954i
\(159\) 3.11884 5.40199i 0.247340 0.428406i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.878594 + 4.98275i −0.0692429 + 0.392696i
\(162\) 0.0970404 0.550344i 0.00762422 0.0432391i
\(163\) 5.36224 + 9.28767i 0.420003 + 0.727466i 0.995939 0.0900283i \(-0.0286957\pi\)
−0.575936 + 0.817495i \(0.695362\pi\)
\(164\) −1.07700 + 1.86541i −0.0840992 + 0.145664i
\(165\) −3.74811 3.14504i −0.291790 0.244841i
\(166\) −6.84384 2.49095i −0.531185 0.193335i
\(167\) −9.29655 + 3.38367i −0.719389 + 0.261836i −0.675666 0.737208i \(-0.736144\pi\)
−0.0437226 + 0.999044i \(0.513922\pi\)
\(168\) 4.18816 3.51429i 0.323124 0.271133i
\(169\) −1.04724 5.93919i −0.0805569 0.456861i
\(170\) −5.02539 −0.385430
\(171\) −0.651146 7.68657i −0.0497944 0.587806i
\(172\) 1.51037 0.115165
\(173\) −2.72662 15.4634i −0.207301 1.17566i −0.893778 0.448510i \(-0.851955\pi\)
0.686477 0.727151i \(-0.259156\pi\)
\(174\) 2.26399 1.89971i 0.171633 0.144017i
\(175\) −4.63187 + 1.68586i −0.350136 + 0.127439i
\(176\) −4.14519 1.50873i −0.312456 0.113725i
\(177\) −11.9411 10.0198i −0.897550 0.753134i
\(178\) 5.04537 8.73883i 0.378166 0.655003i
\(179\) −5.05642 8.75798i −0.377935 0.654602i 0.612827 0.790217i \(-0.290032\pi\)
−0.990762 + 0.135615i \(0.956699\pi\)
\(180\) −0.307311 + 1.74285i −0.0229056 + 0.129904i
\(181\) 0.465151 2.63800i 0.0345744 0.196081i −0.962628 0.270826i \(-0.912703\pi\)
0.997203 + 0.0747449i \(0.0238142\pi\)
\(182\) 6.50626 + 11.2692i 0.482276 + 0.835326i
\(183\) −8.04765 + 13.9389i −0.594899 + 1.03040i
\(184\) 0.786325 + 0.659805i 0.0579686 + 0.0486414i
\(185\) −1.88040 0.684408i −0.138249 0.0503187i
\(186\) −2.11823 + 0.770973i −0.155316 + 0.0565305i
\(187\) 16.9817 14.2494i 1.24183 1.04202i
\(188\) 0.310895 + 1.76317i 0.0226743 + 0.128592i
\(189\) 26.0774 1.89685
\(190\) −0.367934 4.34334i −0.0266928 0.315099i
\(191\) 3.75100 0.271413 0.135706 0.990749i \(-0.456670\pi\)
0.135706 + 0.990749i \(0.456670\pi\)
\(192\) −0.192606 1.09232i −0.0139001 0.0788316i
\(193\) −11.0559 + 9.27700i −0.795821 + 0.667773i −0.947179 0.320706i \(-0.896080\pi\)
0.151358 + 0.988479i \(0.451635\pi\)
\(194\) 11.1894 4.07261i 0.803353 0.292397i
\(195\) 2.75154 + 1.00148i 0.197042 + 0.0717174i
\(196\) 13.2497 + 11.1179i 0.946410 + 0.794132i
\(197\) 9.89999 17.1473i 0.705345 1.22169i −0.261222 0.965279i \(-0.584125\pi\)
0.966567 0.256415i \(-0.0825412\pi\)
\(198\) −3.90335 6.76079i −0.277399 0.480469i
\(199\) 3.46951 19.6766i 0.245947 1.39484i −0.572335 0.820020i \(-0.693962\pi\)
0.818282 0.574817i \(-0.194927\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) −7.56577 13.1043i −0.533648 0.924305i
\(202\) −0.722101 + 1.25072i −0.0508069 + 0.0880001i
\(203\) 10.0611 + 8.44226i 0.706150 + 0.592530i
\(204\) 5.23787 + 1.90643i 0.366724 + 0.133477i
\(205\) −2.02409 + 0.736709i −0.141369 + 0.0514540i
\(206\) 3.41759 2.86770i 0.238115 0.199802i
\(207\) 0.315447 + 1.78899i 0.0219251 + 0.124343i
\(208\) 2.63992 0.183046
\(209\) 13.5588 + 13.6337i 0.937880 + 0.943064i
\(210\) 5.46726 0.377277
\(211\) 2.37072 + 13.4450i 0.163207 + 0.925594i 0.950894 + 0.309518i \(0.100168\pi\)
−0.787687 + 0.616076i \(0.788721\pi\)
\(212\) 4.30802 3.61486i 0.295876 0.248269i
\(213\) −16.2577 + 5.91730i −1.11396 + 0.405447i
\(214\) −7.38875 2.68928i −0.505084 0.183836i
\(215\) 1.15701 + 0.970850i 0.0789077 + 0.0662114i
\(216\) 2.64523 4.58167i 0.179985 0.311743i
\(217\) −5.00874 8.67539i −0.340015 0.588924i
\(218\) 0.437993 2.48398i 0.0296646 0.168237i
\(219\) 2.42920 13.7767i 0.164150 0.930941i
\(220\) −2.20561 3.82023i −0.148702 0.257560i
\(221\) −6.63332 + 11.4892i −0.446205 + 0.772850i
\(222\) 1.70027 + 1.42669i 0.114114 + 0.0957533i
\(223\) 21.7830 + 7.92835i 1.45870 + 0.530922i 0.945006 0.327054i \(-0.106056\pi\)
0.513690 + 0.857976i \(0.328278\pi\)
\(224\) 4.63187 1.68586i 0.309480 0.112641i
\(225\) −1.35570 + 1.13756i −0.0903797 + 0.0758376i
\(226\) −0.451163 2.55867i −0.0300109 0.170200i
\(227\) −7.37892 −0.489756 −0.244878 0.969554i \(-0.578748\pi\)
−0.244878 + 0.969554i \(0.578748\pi\)
\(228\) −1.26420 + 4.66657i −0.0837235 + 0.309051i
\(229\) −13.2440 −0.875188 −0.437594 0.899173i \(-0.644169\pi\)
−0.437594 + 0.899173i \(0.644169\pi\)
\(230\) 0.178245 + 1.01088i 0.0117531 + 0.0666554i
\(231\) −18.4749 + 15.5023i −1.21556 + 1.01998i
\(232\) 2.50384 0.911323i 0.164385 0.0598313i
\(233\) −14.2271 5.17822i −0.932045 0.339237i −0.169025 0.985612i \(-0.554062\pi\)
−0.763020 + 0.646375i \(0.776284\pi\)
\(234\) 3.57893 + 3.00308i 0.233962 + 0.196317i
\(235\) −0.895185 + 1.55051i −0.0583955 + 0.101144i
\(236\) −7.02687 12.1709i −0.457410 0.792258i
\(237\) 0.545962 3.09630i 0.0354640 0.201126i
\(238\) −4.30140 + 24.3945i −0.278818 + 1.58126i
\(239\) −5.84319 10.1207i −0.377964 0.654653i 0.612802 0.790237i \(-0.290042\pi\)
−0.990766 + 0.135583i \(0.956709\pi\)
\(240\) 0.554587 0.960572i 0.0357984 0.0620047i
\(241\) 9.77297 + 8.20049i 0.629532 + 0.528240i 0.900784 0.434268i \(-0.142993\pi\)
−0.271251 + 0.962509i \(0.587437\pi\)
\(242\) 7.94873 + 2.89310i 0.510964 + 0.185976i
\(243\) 14.3318 5.21633i 0.919383 0.334628i
\(244\) −11.1161 + 9.32754i −0.711637 + 0.597135i
\(245\) 3.00347 + 17.0335i 0.191885 + 1.08823i
\(246\) 2.38915 0.152327
\(247\) −10.4156 4.89186i −0.662727 0.311261i
\(248\) −2.03230 −0.129051
\(249\) 1.40276 + 7.95545i 0.0888963 + 0.504156i
\(250\) −0.766044 + 0.642788i −0.0484489 + 0.0406535i
\(251\) −25.2367 + 9.18541i −1.59293 + 0.579778i −0.977963 0.208778i \(-0.933051\pi\)
−0.614964 + 0.788556i \(0.710829\pi\)
\(252\) 8.19717 + 2.98353i 0.516373 + 0.187945i
\(253\) −3.46865 2.91054i −0.218072 0.182984i
\(254\) −10.3618 + 17.9471i −0.650157 + 1.12610i
\(255\) 2.78701 + 4.82725i 0.174529 + 0.302294i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −0.0277309 + 0.157270i −0.00172981 + 0.00981023i −0.985660 0.168741i \(-0.946030\pi\)
0.983931 + 0.178551i \(0.0571410\pi\)
\(258\) −0.837633 1.45082i −0.0521488 0.0903243i
\(259\) −4.93178 + 8.54209i −0.306446 + 0.530780i
\(260\) 2.02230 + 1.69691i 0.125418 + 0.105238i
\(261\) 4.43113 + 1.61280i 0.274280 + 0.0998299i
\(262\) −1.63231 + 0.594111i −0.100844 + 0.0367043i
\(263\) 7.09280 5.95157i 0.437361 0.366990i −0.397360 0.917663i \(-0.630073\pi\)
0.834721 + 0.550673i \(0.185629\pi\)
\(264\) 0.849627 + 4.81847i 0.0522909 + 0.296557i
\(265\) 5.62372 0.345462
\(266\) −21.3986 1.93157i −1.31203 0.118432i
\(267\) −11.1924 −0.684962
\(268\) −2.36894 13.4349i −0.144706 0.820668i
\(269\) 9.55896 8.02092i 0.582820 0.489044i −0.303052 0.952974i \(-0.598005\pi\)
0.885872 + 0.463930i \(0.153561\pi\)
\(270\) 4.97141 1.80944i 0.302550 0.110119i
\(271\) 26.5079 + 9.64808i 1.61024 + 0.586079i 0.981487 0.191526i \(-0.0613437\pi\)
0.628752 + 0.777606i \(0.283566\pi\)
\(272\) 3.84967 + 3.23026i 0.233421 + 0.195863i
\(273\) 7.21657 12.4995i 0.436766 0.756502i
\(274\) 1.24883 + 2.16303i 0.0754445 + 0.130674i
\(275\) 0.766000 4.34420i 0.0461916 0.261965i
\(276\) 0.197705 1.12124i 0.0119004 0.0674907i
\(277\) −4.20592 7.28486i −0.252709 0.437705i 0.711562 0.702624i \(-0.247988\pi\)
−0.964271 + 0.264919i \(0.914655\pi\)
\(278\) 5.91604 10.2469i 0.354821 0.614567i
\(279\) −2.75518 2.31187i −0.164948 0.138408i
\(280\) 4.63187 + 1.68586i 0.276807 + 0.100749i
\(281\) −20.9967 + 7.64218i −1.25256 + 0.455894i −0.881266 0.472621i \(-0.843308\pi\)
−0.371294 + 0.928515i \(0.621086\pi\)
\(282\) 1.52123 1.27647i 0.0905882 0.0760125i
\(283\) 2.21687 + 12.5725i 0.131779 + 0.747357i 0.977049 + 0.213016i \(0.0683288\pi\)
−0.845269 + 0.534340i \(0.820560\pi\)
\(284\) −15.5981 −0.925579
\(285\) −3.96804 + 2.76219i −0.235047 + 0.163618i
\(286\) −11.6453 −0.688600
\(287\) 1.84368 + 10.4560i 0.108829 + 0.617198i
\(288\) 1.35570 1.13756i 0.0798851 0.0670316i
\(289\) −7.75671 + 2.82321i −0.456277 + 0.166071i
\(290\) 2.50384 + 0.911323i 0.147031 + 0.0535148i
\(291\) −10.1175 8.48962i −0.593100 0.497670i
\(292\) 6.30614 10.9226i 0.369039 0.639194i
\(293\) 14.4554 + 25.0376i 0.844496 + 1.46271i 0.886058 + 0.463575i \(0.153433\pi\)
−0.0415616 + 0.999136i \(0.513233\pi\)
\(294\) 3.33137 18.8931i 0.194289 1.10187i
\(295\) 2.44041 13.8402i 0.142086 0.805809i
\(296\) 1.00054 + 1.73298i 0.0581551 + 0.100728i
\(297\) −11.6687 + 20.2108i −0.677086 + 1.17275i
\(298\) 15.4299 + 12.9472i 0.893829 + 0.750011i
\(299\) 2.54639 + 0.926810i 0.147261 + 0.0535988i
\(300\) 1.04228 0.379360i 0.0601762 0.0219023i
\(301\) 5.70307 4.78544i 0.328719 0.275828i
\(302\) 1.33339 + 7.56206i 0.0767282 + 0.435147i
\(303\) 1.60187 0.0920251
\(304\) −2.50999 + 3.56370i −0.143958 + 0.204392i
\(305\) −14.5111 −0.830902
\(306\) 1.54436 + 8.75849i 0.0882851 + 0.500690i
\(307\) 17.9758 15.0835i 1.02593 0.860860i 0.0355713 0.999367i \(-0.488675\pi\)
0.990361 + 0.138507i \(0.0442305\pi\)
\(308\) −20.4322 + 7.43671i −1.16423 + 0.423746i
\(309\) −4.64999 1.69246i −0.264528 0.0962805i
\(310\) −1.55683 1.30634i −0.0884222 0.0741950i
\(311\) −2.12258 + 3.67642i −0.120360 + 0.208470i −0.919910 0.392130i \(-0.871738\pi\)
0.799549 + 0.600600i \(0.205072\pi\)
\(312\) −1.46407 2.53584i −0.0828864 0.143563i
\(313\) −2.01689 + 11.4384i −0.114001 + 0.646534i 0.873238 + 0.487293i \(0.162016\pi\)
−0.987240 + 0.159241i \(0.949095\pi\)
\(314\) 1.00728 5.71258i 0.0568442 0.322379i
\(315\) 4.36163 + 7.55456i 0.245750 + 0.425651i
\(316\) 1.41730 2.45484i 0.0797295 0.138096i
\(317\) −1.71306 1.43742i −0.0962148 0.0807338i 0.593411 0.804899i \(-0.297781\pi\)
−0.689626 + 0.724165i \(0.742225\pi\)
\(318\) −5.86150 2.13341i −0.328697 0.119636i
\(319\) −11.0450 + 4.02005i −0.618401 + 0.225080i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) 1.51445 + 8.58887i 0.0845283 + 0.479384i
\(322\) 5.05962 0.281962
\(323\) −9.20277 19.8783i −0.512056 1.10606i
\(324\) −0.558833 −0.0310463
\(325\) 0.458418 + 2.59982i 0.0254284 + 0.144212i
\(326\) 8.21542 6.89356i 0.455010 0.381799i
\(327\) −2.62895 + 0.956860i −0.145381 + 0.0529145i
\(328\) 2.02409 + 0.736709i 0.111762 + 0.0406779i
\(329\) 6.76032 + 5.67258i 0.372708 + 0.312739i
\(330\) −2.44640 + 4.23730i −0.134670 + 0.233255i
\(331\) 0.254634 + 0.441039i 0.0139959 + 0.0242417i 0.872939 0.487830i \(-0.162211\pi\)
−0.858943 + 0.512072i \(0.828878\pi\)
\(332\) −1.26469 + 7.17241i −0.0694089 + 0.393637i
\(333\) −0.614953 + 3.48757i −0.0336992 + 0.191118i
\(334\) 4.94659 + 8.56775i 0.270666 + 0.468806i
\(335\) 6.82109 11.8145i 0.372676 0.645493i
\(336\) −4.18816 3.51429i −0.228483 0.191720i
\(337\) 14.1717 + 5.15806i 0.771979 + 0.280977i 0.697824 0.716269i \(-0.254152\pi\)
0.0741552 + 0.997247i \(0.476374\pi\)
\(338\) −5.66711 + 2.06266i −0.308250 + 0.112194i
\(339\) −2.20758 + 1.85238i −0.119899 + 0.100607i
\(340\) 0.872649 + 4.94904i 0.0473261 + 0.268399i
\(341\) 8.96493 0.485478
\(342\) −7.45672 + 1.97601i −0.403213 + 0.106850i
\(343\) 50.7518 2.74034
\(344\) −0.262274 1.48743i −0.0141409 0.0801968i
\(345\) 0.872170 0.731838i 0.0469561 0.0394008i
\(346\) −14.7550 + 5.37038i −0.793234 + 0.288714i
\(347\) −31.7415 11.5530i −1.70398 0.620196i −0.707707 0.706506i \(-0.750270\pi\)
−0.996268 + 0.0863093i \(0.972493\pi\)
\(348\) −2.26399 1.89971i −0.121363 0.101835i
\(349\) 0.0164139 0.0284297i 0.000878615 0.00152181i −0.865586 0.500761i \(-0.833054\pi\)
0.866464 + 0.499239i \(0.166387\pi\)
\(350\) 2.46456 + 4.26875i 0.131737 + 0.228174i
\(351\) 2.42524 13.7542i 0.129450 0.734146i
\(352\) −0.766000 + 4.34420i −0.0408280 + 0.231547i
\(353\) 0.140488 + 0.243332i 0.00747740 + 0.0129512i 0.869740 0.493510i \(-0.164287\pi\)
−0.862262 + 0.506462i \(0.830953\pi\)
\(354\) −7.79401 + 13.4996i −0.414247 + 0.717497i
\(355\) −11.9489 10.0263i −0.634180 0.532140i
\(356\) −9.48219 3.45123i −0.502555 0.182915i
\(357\) 25.8181 9.39703i 1.36644 0.497344i
\(358\) −7.74689 + 6.50041i −0.409436 + 0.343557i
\(359\) 2.29364 + 13.0079i 0.121054 + 0.686530i 0.983574 + 0.180507i \(0.0577738\pi\)
−0.862520 + 0.506023i \(0.831115\pi\)
\(360\) 1.76973 0.0932732
\(361\) 16.5066 9.40916i 0.868768 0.495219i
\(362\) −2.67870 −0.140789
\(363\) −1.62923 9.23981i −0.0855122 0.484964i
\(364\) 9.96816 8.36428i 0.522474 0.438408i
\(365\) 11.8517 4.31365i 0.620345 0.225787i
\(366\) 15.1246 + 5.50492i 0.790577 + 0.287747i
\(367\) 7.89363 + 6.62354i 0.412044 + 0.345746i 0.825127 0.564948i \(-0.191104\pi\)
−0.413083 + 0.910693i \(0.635548\pi\)
\(368\) 0.513237 0.888952i 0.0267543 0.0463398i
\(369\) 1.90600 + 3.30128i 0.0992222 + 0.171858i
\(370\) −0.347483 + 1.97067i −0.0180648 + 0.102450i
\(371\) 4.81354 27.2989i 0.249906 1.41729i
\(372\) 1.12709 + 1.95217i 0.0584368 + 0.101215i
\(373\) −14.1948 + 24.5861i −0.734977 + 1.27302i 0.219756 + 0.975555i \(0.429474\pi\)
−0.954733 + 0.297463i \(0.903859\pi\)
\(374\) −16.9817 14.2494i −0.878105 0.736818i
\(375\) 1.04228 + 0.379360i 0.0538232 + 0.0195900i
\(376\) 1.68240 0.612343i 0.0867631 0.0315792i
\(377\) 5.38848 4.52147i 0.277521 0.232867i
\(378\) −4.52829 25.6812i −0.232910 1.32090i
\(379\) 19.1984 0.986157 0.493079 0.869985i \(-0.335871\pi\)
0.493079 + 0.869985i \(0.335871\pi\)
\(380\) −4.21347 + 1.11656i −0.216146 + 0.0572782i
\(381\) 22.9860 1.17761
\(382\) −0.651355 3.69402i −0.0333262 0.189002i
\(383\) 15.9934 13.4201i 0.817226 0.685734i −0.135095 0.990833i \(-0.543134\pi\)
0.952321 + 0.305099i \(0.0986894\pi\)
\(384\) −1.04228 + 0.379360i −0.0531887 + 0.0193591i
\(385\) −20.4322 7.43671i −1.04132 0.379010i
\(386\) 11.0559 + 9.27700i 0.562731 + 0.472187i
\(387\) 1.33648 2.31485i 0.0679371 0.117671i
\(388\) −5.95376 10.3122i −0.302256 0.523523i
\(389\) 2.69629 15.2914i 0.136707 0.775304i −0.836949 0.547281i \(-0.815663\pi\)
0.973656 0.228023i \(-0.0732261\pi\)
\(390\) 0.508465 2.88365i 0.0257471 0.146019i
\(391\) 2.57921 + 4.46733i 0.130436 + 0.225923i
\(392\) 8.64815 14.9790i 0.436798 0.756556i
\(393\) 1.47594 + 1.23846i 0.0744515 + 0.0624722i
\(394\) −18.6059 6.77199i −0.937351 0.341168i
\(395\) 2.66366 0.969492i 0.134023 0.0487804i
\(396\) −5.98027 + 5.01804i −0.300520 + 0.252166i
\(397\) 0.836373 + 4.74331i 0.0419764 + 0.238060i 0.998576 0.0533453i \(-0.0169884\pi\)
−0.956600 + 0.291405i \(0.905877\pi\)
\(398\) −19.9801 −1.00151
\(399\) 10.0119 + 21.6261i 0.501224 + 1.08266i
\(400\) 1.00000 0.0500000
\(401\) −2.15856 12.2418i −0.107793 0.611326i −0.990068 0.140591i \(-0.955100\pi\)
0.882275 0.470735i \(-0.156011\pi\)
\(402\) −11.5914 + 9.72636i −0.578128 + 0.485107i
\(403\) −5.04156 + 1.83498i −0.251138 + 0.0914068i
\(404\) 1.35711 + 0.493947i 0.0675186 + 0.0245748i
\(405\) −0.428091 0.359211i −0.0212720 0.0178494i
\(406\) 6.56691 11.3742i 0.325910 0.564493i
\(407\) −4.41359 7.64456i −0.218774 0.378927i
\(408\) 0.967919 5.48934i 0.0479191 0.271763i
\(409\) −2.99828 + 17.0041i −0.148255 + 0.840797i 0.816440 + 0.577430i \(0.195944\pi\)
−0.964696 + 0.263367i \(0.915167\pi\)
\(410\) 1.07700 + 1.86541i 0.0531890 + 0.0921261i
\(411\) 1.38517 2.39918i 0.0683253 0.118343i
\(412\) −3.41759 2.86770i −0.168373 0.141282i
\(413\) −65.0950 23.6926i −3.20312 1.16584i
\(414\) 1.70703 0.621309i 0.0838961 0.0305357i
\(415\) −5.57915 + 4.68146i −0.273870 + 0.229804i
\(416\) −0.458418 2.59982i −0.0224758 0.127466i
\(417\) −13.1238 −0.642677
\(418\) 11.0721 15.7203i 0.541556 0.768903i
\(419\) 18.2962 0.893827 0.446914 0.894577i \(-0.352523\pi\)
0.446914 + 0.894577i \(0.352523\pi\)
\(420\) −0.949379 5.38420i −0.0463250 0.262722i
\(421\) 21.4711 18.0164i 1.04644 0.878067i 0.0537246 0.998556i \(-0.482891\pi\)
0.992715 + 0.120489i \(0.0384462\pi\)
\(422\) 12.8291 4.66941i 0.624510 0.227303i
\(423\) 2.97740 + 1.08368i 0.144766 + 0.0526905i
\(424\) −4.30802 3.61486i −0.209216 0.175553i
\(425\) −2.51269 + 4.35211i −0.121884 + 0.211109i
\(426\) 8.65052 + 14.9831i 0.419119 + 0.725935i
\(427\) −12.4205 + 70.4403i −0.601072 + 3.40885i
\(428\) −1.36539 + 7.74349i −0.0659984 + 0.374296i
\(429\) 6.45831 + 11.1861i 0.311810 + 0.540071i
\(430\) 0.755187 1.30802i 0.0364184 0.0630784i
\(431\) 11.8489 + 9.94239i 0.570740 + 0.478908i 0.881892 0.471452i \(-0.156270\pi\)
−0.311151 + 0.950360i \(0.600715\pi\)
\(432\) −4.97141 1.80944i −0.239187 0.0870569i
\(433\) −13.2327 + 4.81630i −0.635922 + 0.231457i −0.639807 0.768536i \(-0.720986\pi\)
0.00388467 + 0.999992i \(0.498763\pi\)
\(434\) −7.67383 + 6.43911i −0.368356 + 0.309087i
\(435\) −0.513204 2.91053i −0.0246063 0.139549i
\(436\) −2.52230 −0.120796
\(437\) −3.67219 + 2.55624i −0.175665 + 0.122282i
\(438\) −13.9892 −0.668430
\(439\) 1.61433 + 9.15534i 0.0770479 + 0.436961i 0.998791 + 0.0491593i \(0.0156542\pi\)
−0.921743 + 0.387801i \(0.873235\pi\)
\(440\) −3.37919 + 2.83548i −0.161097 + 0.135176i
\(441\) 28.7639 10.4692i 1.36971 0.498533i
\(442\) 12.4666 + 4.53746i 0.592974 + 0.215825i
\(443\) −9.11448 7.64795i −0.433042 0.363365i 0.400056 0.916491i \(-0.368991\pi\)
−0.833098 + 0.553125i \(0.813435\pi\)
\(444\) 1.10977 1.92218i 0.0526673 0.0912225i
\(445\) −5.04537 8.73883i −0.239173 0.414260i
\(446\) 4.02533 22.8288i 0.190605 1.08097i
\(447\) 3.87952 22.0019i 0.183495 1.04065i
\(448\) −2.46456 4.26875i −0.116440 0.201680i
\(449\) 9.95157 17.2366i 0.469644 0.813446i −0.529754 0.848151i \(-0.677716\pi\)
0.999398 + 0.0347048i \(0.0110491\pi\)
\(450\) 1.35570 + 1.13756i 0.0639081 + 0.0536253i
\(451\) −8.92871 3.24978i −0.420436 0.153026i
\(452\) −2.44146 + 0.888617i −0.114836 + 0.0417970i
\(453\) 6.52442 5.47464i 0.306544 0.257221i
\(454\) 1.28134 + 7.26682i 0.0601361 + 0.341049i
\(455\) 13.0125 0.610036
\(456\) 4.81520 + 0.434651i 0.225492 + 0.0203544i
\(457\) −36.8095 −1.72188 −0.860939 0.508708i \(-0.830123\pi\)
−0.860939 + 0.508708i \(0.830123\pi\)
\(458\) 2.29980 + 13.0428i 0.107462 + 0.609449i
\(459\) 20.3665 17.0896i 0.950628 0.797672i
\(460\) 0.964570 0.351075i 0.0449733 0.0163689i
\(461\) −28.6287 10.4200i −1.33337 0.485308i −0.425653 0.904886i \(-0.639956\pi\)
−0.907719 + 0.419578i \(0.862178\pi\)
\(462\) 18.4749 + 15.5023i 0.859530 + 0.721232i
\(463\) 11.1988 19.3969i 0.520454 0.901452i −0.479263 0.877671i \(-0.659096\pi\)
0.999717 0.0237813i \(-0.00757054\pi\)
\(464\) −1.33227 2.30755i −0.0618489 0.107125i
\(465\) −0.391433 + 2.21993i −0.0181523 + 0.102947i
\(466\) −2.62905 + 14.9101i −0.121789 + 0.690697i
\(467\) 7.39165 + 12.8027i 0.342045 + 0.592439i 0.984812 0.173623i \(-0.0555473\pi\)
−0.642768 + 0.766061i \(0.722214\pi\)
\(468\) 2.33598 4.04604i 0.107981 0.187028i
\(469\) −51.5119 43.2236i −2.37860 1.99588i
\(470\) 1.68240 + 0.612343i 0.0776032 + 0.0282453i
\(471\) −6.04597 + 2.20055i −0.278583 + 0.101396i
\(472\) −10.7658 + 9.03357i −0.495535 + 0.415804i
\(473\) 1.15695 + 6.56137i 0.0531965 + 0.301692i
\(474\) −3.14407 −0.144412
\(475\) −3.94541 1.85303i −0.181028 0.0850229i
\(476\) 24.7708 1.13537
\(477\) −1.72823 9.80130i −0.0791303 0.448770i
\(478\) −8.95228 + 7.51186i −0.409468 + 0.343584i
\(479\) 25.2882 9.20416i 1.15545 0.420549i 0.307979 0.951393i \(-0.400347\pi\)
0.847469 + 0.530844i \(0.178125\pi\)
\(480\) −1.04228 0.379360i −0.0475734 0.0173153i
\(481\) 4.04677 + 3.39564i 0.184517 + 0.154828i
\(482\) 6.37885 11.0485i 0.290549 0.503245i
\(483\) −2.80600 4.86013i −0.127677 0.221144i
\(484\) 1.46887 8.33035i 0.0667667 0.378652i
\(485\) 2.06772 11.7266i 0.0938903 0.532478i
\(486\) −7.62577 13.2082i −0.345912 0.599137i
\(487\) 7.09140 12.2827i 0.321342 0.556581i −0.659423 0.751772i \(-0.729199\pi\)
0.980765 + 0.195191i \(0.0625327\pi\)
\(488\) 11.1161 + 9.32754i 0.503204 + 0.422238i
\(489\) −11.1779 4.06843i −0.505483 0.183981i
\(490\) 16.2532 5.91569i 0.734245 0.267243i
\(491\) 7.44701 6.24878i 0.336079 0.282004i −0.459092 0.888389i \(-0.651825\pi\)
0.795171 + 0.606385i \(0.207381\pi\)
\(492\) −0.414871 2.35285i −0.0187039 0.106075i
\(493\) 13.3903 0.603069
\(494\) −3.00889 + 11.1068i −0.135376 + 0.499719i
\(495\) −7.80669 −0.350885
\(496\) 0.352906 + 2.00143i 0.0158459 + 0.0898667i
\(497\) −58.8975 + 49.4209i −2.64191 + 2.21683i
\(498\) 7.59100 2.76290i 0.340161 0.123808i
\(499\) 11.5577 + 4.20666i 0.517394 + 0.188316i 0.587501 0.809223i \(-0.300112\pi\)
−0.0701069 + 0.997539i \(0.522334\pi\)
\(500\) 0.766044 + 0.642788i 0.0342585 + 0.0287463i
\(501\) 5.48663 9.50312i 0.245124 0.424568i
\(502\) 13.4282 + 23.2583i 0.599329 + 1.03807i
\(503\) −4.32801 + 24.5454i −0.192976 + 1.09442i 0.722295 + 0.691586i \(0.243087\pi\)
−0.915271 + 0.402839i \(0.868024\pi\)
\(504\) 1.51478 8.59073i 0.0674735 0.382661i
\(505\) 0.722101 + 1.25072i 0.0321331 + 0.0556562i
\(506\) −2.26400 + 3.92136i −0.100647 + 0.174326i
\(507\) 5.12424 + 4.29974i 0.227575 + 0.190958i
\(508\) 19.4738 + 7.08788i 0.864010 + 0.314474i
\(509\) 12.5923 4.58321i 0.558142 0.203147i −0.0475184 0.998870i \(-0.515131\pi\)
0.605660 + 0.795723i \(0.292909\pi\)
\(510\) 4.26995 3.58291i 0.189077 0.158654i
\(511\) −10.7953 61.2231i −0.477555 2.70835i
\(512\) −1.00000 −0.0441942
\(513\) 16.2613 + 16.3512i 0.717954 + 0.721922i
\(514\) 0.159696 0.00704389
\(515\) −0.774706 4.39357i −0.0341376 0.193604i
\(516\) −1.28333 + 1.07684i −0.0564954 + 0.0474053i
\(517\) −7.42143 + 2.70118i −0.326394 + 0.118798i
\(518\) 9.26871 + 3.37353i 0.407244 + 0.148225i
\(519\) 13.3416 + 11.1949i 0.585630 + 0.491402i
\(520\) 1.31996 2.28624i 0.0578841 0.100258i
\(521\) −0.583692 1.01098i −0.0255720 0.0442920i 0.852956 0.521983i \(-0.174807\pi\)
−0.878528 + 0.477690i \(0.841474\pi\)
\(522\) 0.818841 4.64388i 0.0358397 0.203257i
\(523\) −1.63636 + 9.28028i −0.0715532 + 0.405798i 0.927903 + 0.372822i \(0.121610\pi\)
−0.999456 + 0.0329765i \(0.989501\pi\)
\(524\) 0.868533 + 1.50434i 0.0379420 + 0.0657175i
\(525\) 2.73363 4.73478i 0.119305 0.206643i
\(526\) −7.09280 5.95157i −0.309261 0.259501i
\(527\) −9.59718 3.49309i −0.418060 0.152161i
\(528\) 4.59773 1.67344i 0.200091 0.0728271i
\(529\) −16.8119 + 14.1068i −0.730951 + 0.613341i
\(530\) −0.976549 5.53828i −0.0424186 0.240568i
\(531\) −24.8714 −1.07933
\(532\) 1.81359 + 21.4089i 0.0786293 + 0.928193i
\(533\) 5.68637 0.246304
\(534\) 1.94353 + 11.0223i 0.0841050 + 0.476983i
\(535\) −6.02336 + 5.05420i −0.260413 + 0.218512i
\(536\) −12.8194 + 4.66590i −0.553716 + 0.201536i
\(537\) 10.5404 + 3.83640i 0.454853 + 0.165553i
\(538\) −9.55896 8.02092i −0.412116 0.345807i
\(539\) −38.1489 + 66.0759i −1.64319 + 2.84609i
\(540\) −2.64523 4.58167i −0.113833 0.197164i
\(541\) −7.26524 + 41.2032i −0.312357 + 1.77147i 0.274314 + 0.961640i \(0.411549\pi\)
−0.586671 + 0.809825i \(0.699562\pi\)
\(542\) 4.89846 27.7806i 0.210407 1.19328i
\(543\) 1.48557 + 2.57308i 0.0637520 + 0.110422i
\(544\) 2.51269 4.35211i 0.107731 0.186595i
\(545\) −1.93220 1.62131i −0.0827662 0.0694491i
\(546\) −13.5627 4.93642i −0.580430 0.211259i
\(547\) −26.4147 + 9.61418i −1.12941 + 0.411073i −0.838079 0.545549i \(-0.816321\pi\)
−0.291334 + 0.956622i \(0.594099\pi\)
\(548\) 1.91332 1.60546i 0.0817328 0.0685820i
\(549\) 4.45942 + 25.2906i 0.190323 + 1.07938i
\(550\) −4.41122 −0.188095
\(551\) 0.980372 + 11.5730i 0.0417653 + 0.493025i
\(552\) −1.13854 −0.0484594
\(553\) −2.42623 13.7599i −0.103174 0.585129i
\(554\) −6.44384 + 5.40702i −0.273772 + 0.229722i
\(555\) 2.08568 0.759127i 0.0885324 0.0322231i
\(556\) −11.1185 4.04681i −0.471530 0.171623i
\(557\) 9.45200 + 7.93117i 0.400494 + 0.336055i 0.820685 0.571381i \(-0.193592\pi\)
−0.420190 + 0.907436i \(0.638037\pi\)
\(558\) −1.79832 + 3.11478i −0.0761289 + 0.131859i
\(559\) −1.99364 3.45308i −0.0843218 0.146050i
\(560\) 0.855934 4.85424i 0.0361698 0.205129i
\(561\) −4.26971 + 24.2147i −0.180267 + 1.02235i
\(562\) 11.1721 + 19.3507i 0.471268 + 0.816259i
\(563\) 7.22347 12.5114i 0.304433 0.527293i −0.672702 0.739914i \(-0.734866\pi\)
0.977135 + 0.212620i \(0.0681997\pi\)
\(564\) −1.52123 1.27647i −0.0640555 0.0537490i
\(565\) −2.44146 0.888617i −0.102713 0.0373844i
\(566\) 11.9965 4.36638i 0.504252 0.183533i
\(567\) −2.11012 + 1.77060i −0.0886166 + 0.0743581i
\(568\) 2.70859 + 15.3612i 0.113650 + 0.644540i
\(569\) 31.8303 1.33439 0.667197 0.744881i \(-0.267494\pi\)
0.667197 + 0.744881i \(0.267494\pi\)
\(570\) 3.40927 + 3.42811i 0.142798 + 0.143588i
\(571\) −9.10909 −0.381204 −0.190602 0.981667i \(-0.561044\pi\)
−0.190602 + 0.981667i \(0.561044\pi\)
\(572\) 2.02218 + 11.4684i 0.0845516 + 0.479516i
\(573\) −3.18714 + 2.67432i −0.133145 + 0.111722i
\(574\) 9.97700 3.63133i 0.416432 0.151569i
\(575\) 0.964570 + 0.351075i 0.0402253 + 0.0146408i
\(576\) −1.35570 1.13756i −0.0564873 0.0473985i
\(577\) −5.84857 + 10.1300i −0.243479 + 0.421718i −0.961703 0.274094i \(-0.911622\pi\)
0.718224 + 0.695812i \(0.244955\pi\)
\(578\) 4.12726 + 7.14863i 0.171671 + 0.297344i
\(579\) 2.77978 15.7649i 0.115524 0.655167i
\(580\) 0.462691 2.62405i 0.0192122 0.108958i
\(581\) 17.9496 + 31.0896i 0.744674 + 1.28981i
\(582\) −6.60375 + 11.4380i −0.273734 + 0.474122i
\(583\) 19.0036 + 15.9459i 0.787050 + 0.660413i
\(584\) −11.8517 4.31365i −0.490425 0.178500i
\(585\) 4.39021 1.59791i 0.181513 0.0660652i
\(586\) 22.1470 18.5836i 0.914885 0.767680i
\(587\) −5.33986 30.2839i −0.220400 1.24995i −0.871287 0.490774i \(-0.836714\pi\)
0.650887 0.759175i \(-0.274397\pi\)
\(588\) −19.1846 −0.791160
\(589\) 2.31635 8.55040i 0.0954435 0.352313i
\(590\) −14.0537 −0.578583
\(591\) 3.81359 + 21.6280i 0.156870 + 0.889655i
\(592\) 1.53291 1.28627i 0.0630023 0.0528652i
\(593\) −5.82573 + 2.12039i −0.239234 + 0.0870741i −0.458855 0.888511i \(-0.651740\pi\)
0.219621 + 0.975585i \(0.429518\pi\)
\(594\) 21.9300 + 7.98186i 0.899798 + 0.327500i
\(595\) 18.9755 + 15.9224i 0.777920 + 0.652753i
\(596\) 10.0711 17.4437i 0.412530 0.714523i
\(597\) 11.0807 + 19.1924i 0.453503 + 0.785491i
\(598\) 0.470554 2.66864i 0.0192424 0.109129i
\(599\) −5.09116 + 28.8734i −0.208019 + 1.17973i 0.684599 + 0.728920i \(0.259978\pi\)
−0.892618 + 0.450815i \(0.851134\pi\)
\(600\) −0.554587 0.960572i −0.0226409 0.0392152i
\(601\) 23.1718 40.1348i 0.945199 1.63713i 0.189846 0.981814i \(-0.439201\pi\)
0.755353 0.655318i \(-0.227466\pi\)
\(602\) −5.70307 4.78544i −0.232440 0.195040i
\(603\) −22.6870 8.25740i −0.923887 0.336267i
\(604\) 7.21563 2.62627i 0.293600 0.106862i
\(605\) 6.47987 5.43725i 0.263444 0.221056i
\(606\) −0.278162 1.57754i −0.0112996 0.0640830i
\(607\) 25.4409 1.03262 0.516308 0.856403i \(-0.327306\pi\)
0.516308 + 0.856403i \(0.327306\pi\)
\(608\) 3.94541 + 1.85303i 0.160008 + 0.0751503i
\(609\) −14.5677 −0.590312
\(610\) 2.51982 + 14.2906i 0.102025 + 0.578610i
\(611\) 3.62066 3.03810i 0.146476 0.122908i
\(612\) 8.35725 3.04179i 0.337822 0.122957i
\(613\) 28.6870 + 10.4412i 1.15866 + 0.421717i 0.848618 0.529006i \(-0.177435\pi\)
0.310041 + 0.950723i \(0.399657\pi\)
\(614\) −17.9758 15.0835i −0.725444 0.608720i
\(615\) 1.19457 2.06906i 0.0481699 0.0834327i
\(616\) 10.8717 + 18.8304i 0.438035 + 0.758698i
\(617\) 1.05883 6.00494i 0.0426270 0.241750i −0.956048 0.293210i \(-0.905276\pi\)
0.998675 + 0.0514603i \(0.0163876\pi\)
\(618\) −0.859283 + 4.87323i −0.0345654 + 0.196030i
\(619\) −9.07568 15.7195i −0.364782 0.631821i 0.623959 0.781457i \(-0.285523\pi\)
−0.988741 + 0.149636i \(0.952190\pi\)
\(620\) −1.01615 + 1.76003i −0.0408096 + 0.0706843i
\(621\) −4.16002 3.49067i −0.166936 0.140076i
\(622\) 3.98914 + 1.45193i 0.159950 + 0.0582171i
\(623\) −46.7389 + 17.0116i −1.87255 + 0.681554i
\(624\) −2.24308 + 1.88217i −0.0897950 + 0.0753469i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) 11.6148 0.464221
\(627\) −21.2409 1.91734i −0.848279 0.0765712i
\(628\) −5.80070 −0.231473
\(629\) 1.74624 + 9.90340i 0.0696270 + 0.394874i
\(630\) 6.68240 5.60720i 0.266233 0.223396i
\(631\) −14.9306 + 5.43428i −0.594376 + 0.216335i −0.621653 0.783293i \(-0.713539\pi\)
0.0272768 + 0.999628i \(0.491316\pi\)
\(632\) −2.66366 0.969492i −0.105955 0.0385643i
\(633\) −11.6001 9.73368i −0.461064 0.386879i
\(634\) −1.11812 + 1.93664i −0.0444061 + 0.0769137i
\(635\) 10.3618 + 17.9471i 0.411195 + 0.712211i
\(636\) −1.08316 + 6.14292i −0.0429502 + 0.243582i
\(637\) 7.92893 44.9672i 0.314156 1.78167i
\(638\) 5.87692 + 10.1791i 0.232669 + 0.402995i
\(639\) −13.8023 + 23.9063i −0.546010 + 0.945717i
\(640\) −0.766044 0.642788i −0.0302806 0.0254084i
\(641\) 33.1458 + 12.0641i 1.30918 + 0.476503i 0.899976 0.435940i \(-0.143584\pi\)
0.409205 + 0.912443i \(0.365806\pi\)
\(642\) 8.19540 2.98288i 0.323447 0.117725i
\(643\) −6.39841 + 5.36891i −0.252329 + 0.211729i −0.760174 0.649719i \(-0.774887\pi\)
0.507846 + 0.861448i \(0.330442\pi\)
\(644\) −0.878594 4.98275i −0.0346215 0.196348i
\(645\) −1.67527 −0.0659636
\(646\) −17.9782 + 12.5148i −0.707343 + 0.492387i
\(647\) −12.0057 −0.471991 −0.235995 0.971754i \(-0.575835\pi\)
−0.235995 + 0.971754i \(0.575835\pi\)
\(648\) 0.0970404 + 0.550344i 0.00381211 + 0.0216195i
\(649\) 47.4903 39.8491i 1.86416 1.56421i
\(650\) 2.48072 0.902907i 0.0973017 0.0354149i
\(651\) 10.4410 + 3.80023i 0.409216 + 0.148943i
\(652\) −8.21542 6.89356i −0.321741 0.269973i
\(653\) 19.5180 33.8062i 0.763798 1.32294i −0.177081 0.984196i \(-0.556666\pi\)
0.940880 0.338741i \(-0.110001\pi\)
\(654\) 1.39884 + 2.42285i 0.0546988 + 0.0947411i
\(655\) −0.301638 + 1.71068i −0.0117860 + 0.0668416i
\(656\) 0.374037 2.12127i 0.0146037 0.0828216i
\(657\) −11.1602 19.3300i −0.435401 0.754136i
\(658\) 4.41248 7.64265i 0.172017 0.297941i
\(659\) −3.38617 2.84133i −0.131906 0.110683i 0.574448 0.818541i \(-0.305217\pi\)
−0.706354 + 0.707859i \(0.749661\pi\)
\(660\) 4.59773 + 1.67344i 0.178967 + 0.0651385i
\(661\) 5.32012 1.93636i 0.206929 0.0753159i −0.236476 0.971637i \(-0.575993\pi\)
0.443405 + 0.896321i \(0.353770\pi\)
\(662\) 0.390122 0.327351i 0.0151625 0.0127229i
\(663\) −2.55523 14.4914i −0.0992370 0.562801i
\(664\) 7.28306 0.282638
\(665\) −12.3721 + 17.5659i −0.479769 + 0.681177i
\(666\) 3.54137 0.137225
\(667\) −0.474940 2.69352i −0.0183898 0.104294i
\(668\) 7.57862 6.35922i 0.293226 0.246046i
\(669\) −24.1611 + 8.79392i −0.934122 + 0.339992i
\(670\) −12.8194 4.66590i −0.495259 0.180259i
\(671\) −49.0357 41.1458i −1.89300 1.58842i
\(672\) −2.73363 + 4.73478i −0.105452 + 0.182648i
\(673\) −8.18457 14.1761i −0.315492 0.546448i 0.664050 0.747688i \(-0.268836\pi\)
−0.979542 + 0.201240i \(0.935503\pi\)
\(674\) 2.61882 14.8520i 0.100873 0.572079i
\(675\) 0.918679 5.21009i 0.0353600 0.200536i
\(676\) 3.01541 + 5.22284i 0.115977 + 0.200878i
\(677\) 9.37064 16.2304i 0.360143 0.623786i −0.627841 0.778341i \(-0.716061\pi\)
0.987984 + 0.154556i \(0.0493946\pi\)
\(678\) 2.20758 + 1.85238i 0.0847816 + 0.0711402i
\(679\) −55.1540 20.0744i −2.11662 0.770386i
\(680\) 4.72232 1.71878i 0.181093 0.0659124i
\(681\) 6.26969 5.26089i 0.240255 0.201598i
\(682\) −1.55674 8.82873i −0.0596108 0.338070i
\(683\) 11.1202 0.425501 0.212751 0.977107i \(-0.431758\pi\)
0.212751 + 0.977107i \(0.431758\pi\)
\(684\) 3.24084 + 7.00030i 0.123917 + 0.267663i
\(685\) 2.49766 0.0954306
\(686\) −8.81296 49.9808i −0.336480 1.90828i
\(687\) 11.2531 9.44247i 0.429333 0.360253i
\(688\) −1.41929 + 0.516578i −0.0541098 + 0.0196944i
\(689\) −13.9509 5.07769i −0.531485 0.193445i
\(690\) −0.872170 0.731838i −0.0332029 0.0278606i
\(691\) −5.97792 + 10.3541i −0.227411 + 0.393887i −0.957040 0.289956i \(-0.906359\pi\)
0.729629 + 0.683843i \(0.239693\pi\)
\(692\) 7.85098 + 13.5983i 0.298449 + 0.516929i
\(693\) −6.68201 + 37.8956i −0.253829 + 1.43953i
\(694\) −5.86560 + 33.2655i −0.222655 + 1.26274i
\(695\) −5.91604 10.2469i −0.224408 0.388687i
\(696\) −1.47771 + 2.55947i −0.0560126 + 0.0970166i
\(697\) 8.29216 + 6.95795i 0.314088 + 0.263551i
\(698\) −0.0308480 0.0112278i −0.00116761 0.000424977i
\(699\) 15.7803 5.74355i 0.596865 0.217241i
\(700\) 3.77593 3.16838i 0.142717 0.119754i
\(701\) 3.45791 + 19.6108i 0.130603 + 0.740689i 0.977821 + 0.209443i \(0.0671650\pi\)
−0.847217 + 0.531246i \(0.821724\pi\)
\(702\) −13.9664 −0.527128
\(703\) −8.43146 + 2.23432i −0.317999 + 0.0842688i
\(704\) 4.41122 0.166254
\(705\) −0.344836 1.95566i −0.0129873 0.0736545i
\(706\) 0.215239 0.180607i 0.00810064 0.00679725i
\(707\) 6.68935 2.43473i 0.251579 0.0915673i
\(708\) 14.6480 + 5.33142i 0.550504 + 0.200367i
\(709\) −9.27123 7.77949i −0.348188 0.292165i 0.451874 0.892082i \(-0.350756\pi\)
−0.800062 + 0.599917i \(0.795200\pi\)
\(710\) −7.79907 + 13.5084i −0.292694 + 0.506961i
\(711\) −2.50825 4.34442i −0.0940667 0.162928i
\(712\) −1.75224 + 9.93743i −0.0656679 + 0.372421i
\(713\) −0.362248 + 2.05441i −0.0135663 + 0.0769383i
\(714\) −13.7375 23.7941i −0.514115 0.890473i
\(715\) −5.82264 + 10.0851i −0.217754 + 0.377162i
\(716\) 7.74689 + 6.50041i 0.289515 + 0.242932i
\(717\) 12.1805 + 4.43334i 0.454889 + 0.165566i
\(718\) 12.4120 4.51759i 0.463211 0.168595i
\(719\) 22.9902 19.2911i 0.857389 0.719435i −0.104015 0.994576i \(-0.533169\pi\)
0.961404 + 0.275141i \(0.0887245\pi\)
\(720\) −0.307311 1.74285i −0.0114528 0.0649521i
\(721\) −21.9906 −0.818972
\(722\) −12.1326 14.6219i −0.451527 0.544172i
\(723\) −14.1505 −0.526263
\(724\) 0.465151 + 2.63800i 0.0172872 + 0.0980407i
\(725\) 2.04115 1.71273i 0.0758064 0.0636091i
\(726\) −8.81652 + 3.20895i −0.327212 + 0.119095i
\(727\) 39.5954 + 14.4115i 1.46851 + 0.534494i 0.947696 0.319175i \(-0.103406\pi\)
0.520815 + 0.853669i \(0.325628\pi\)
\(728\) −9.96816 8.36428i −0.369445 0.310001i
\(729\) −9.29655 + 16.1021i −0.344317 + 0.596374i
\(730\) −6.30614 10.9226i −0.233401 0.404262i
\(731\) 1.31803 7.47490i 0.0487490 0.276469i
\(732\) 2.79492 15.8508i 0.103303 0.585862i
\(733\) 4.18069 + 7.24116i 0.154417 + 0.267458i 0.932847 0.360274i \(-0.117317\pi\)
−0.778429 + 0.627732i \(0.783983\pi\)
\(734\) 5.15220 8.92387i 0.190171 0.329386i
\(735\) −14.6963 12.3316i −0.542080 0.454859i
\(736\) −0.964570 0.351075i −0.0355545 0.0129408i
\(737\) 56.5494 20.5823i 2.08302 0.758159i
\(738\) 2.92016 2.45030i 0.107492 0.0901969i
\(739\) −3.03167 17.1935i −0.111522 0.632472i −0.988414 0.151784i \(-0.951498\pi\)
0.876892 0.480688i \(-0.159613\pi\)
\(740\) 2.00107 0.0735610
\(741\) 12.3376 3.26943i 0.453232 0.120105i
\(742\) −27.7200 −1.01763
\(743\) −2.72242 15.4396i −0.0998758 0.566424i −0.993144 0.116899i \(-0.962705\pi\)
0.893268 0.449524i \(-0.148407\pi\)
\(744\) 1.72680 1.44896i 0.0633075 0.0531213i
\(745\) 18.9275 6.88906i 0.693452 0.252396i
\(746\) 26.6774 + 9.70980i 0.976731 + 0.355501i
\(747\) 9.87361 + 8.28494i 0.361257 + 0.303130i
\(748\) −11.0840 + 19.1981i −0.405273 + 0.701953i
\(749\) 19.3787 + 33.5649i 0.708083 + 1.22644i
\(750\) 0.192606 1.09232i 0.00703297 0.0398860i
\(751\) −0.425213 + 2.41150i −0.0155162 + 0.0879970i −0.991583 0.129476i \(-0.958670\pi\)
0.976066 + 0.217473i \(0.0697815\pi\)
\(752\) −0.895185 1.55051i −0.0326441 0.0565412i
\(753\) 14.8942 25.7975i 0.542774 0.940111i
\(754\) −5.38848 4.52147i −0.196237 0.164662i
\(755\) 7.21563 + 2.62627i 0.262604 + 0.0955799i
\(756\) −24.5047 + 8.91898i −0.891228 + 0.324380i
\(757\) 21.2038 17.7921i 0.770664 0.646664i −0.170215 0.985407i \(-0.554446\pi\)
0.940879 + 0.338743i \(0.110002\pi\)
\(758\) −3.33377 18.9068i −0.121088 0.686725i
\(759\) 5.02234 0.182299
\(760\) 1.83126 + 3.95557i 0.0664266 + 0.143483i
\(761\) −34.7738 −1.26055 −0.630275 0.776372i \(-0.717058\pi\)
−0.630275 + 0.776372i \(0.717058\pi\)
\(762\) −3.99148 22.6368i −0.144596 0.820046i
\(763\) −9.52404 + 7.99162i −0.344793 + 0.289316i
\(764\) −3.52479 + 1.28292i −0.127522 + 0.0464143i
\(765\) 8.35725 + 3.04179i 0.302157 + 0.109976i
\(766\) −15.9934 13.4201i −0.577866 0.484887i
\(767\) −18.5504 + 32.1302i −0.669815 + 1.16015i
\(768\) 0.554587 + 0.960572i 0.0200119 + 0.0346617i
\(769\) −1.17313 + 6.65313i −0.0423040 + 0.239918i −0.998626 0.0523962i \(-0.983314\pi\)
0.956322 + 0.292314i \(0.0944252\pi\)
\(770\) −3.77571 + 21.4131i −0.136067 + 0.771676i
\(771\) −0.0885653 0.153400i −0.00318960 0.00552455i
\(772\) 7.21623 12.4989i 0.259718 0.449844i