Properties

Label 216.2.t.a.205.27
Level $216$
Weight $2$
Character 216.205
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 205.27
Character \(\chi\) \(=\) 216.205
Dual form 216.2.t.a.157.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12116 - 0.861977i) q^{2} +(0.684682 - 1.59098i) q^{3} +(0.513991 - 1.93283i) q^{4} +(-1.15428 + 3.17134i) q^{5} +(-0.603749 - 2.37392i) q^{6} +(0.593321 - 3.36489i) q^{7} +(-1.08978 - 2.61005i) q^{8} +(-2.06242 - 2.17863i) q^{9} +O(q^{10})\) \(q+(1.12116 - 0.861977i) q^{2} +(0.684682 - 1.59098i) q^{3} +(0.513991 - 1.93283i) q^{4} +(-1.15428 + 3.17134i) q^{5} +(-0.603749 - 2.37392i) q^{6} +(0.593321 - 3.36489i) q^{7} +(-1.08978 - 2.61005i) q^{8} +(-2.06242 - 2.17863i) q^{9} +(1.43950 + 4.55054i) q^{10} +(-0.197048 - 0.541384i) q^{11} +(-2.72316 - 2.14112i) q^{12} +(4.30199 + 5.12691i) q^{13} +(-2.23525 - 4.28400i) q^{14} +(4.25523 + 4.00779i) q^{15} +(-3.47163 - 1.98691i) q^{16} +(1.15893 + 2.00733i) q^{17} +(-4.19023 - 0.664827i) q^{18} +(-0.353289 - 0.203971i) q^{19} +(5.53637 + 3.86106i) q^{20} +(-4.94723 - 3.24784i) q^{21} +(-0.687582 - 0.437127i) q^{22} +(1.15186 + 6.53250i) q^{23} +(-4.89869 - 0.0532318i) q^{24} +(-4.89486 - 4.10727i) q^{25} +(9.24249 + 2.03986i) q^{26} +(-4.87825 + 1.78960i) q^{27} +(-6.19878 - 2.87631i) q^{28} +(-2.24644 + 2.67721i) q^{29} +(8.22541 + 0.825457i) q^{30} +(-0.382945 - 2.17179i) q^{31} +(-5.60491 + 0.764819i) q^{32} +(-0.996245 - 0.0571774i) q^{33} +(3.02962 + 1.25156i) q^{34} +(9.98637 + 5.76564i) q^{35} +(-5.27097 + 2.86650i) q^{36} +(-1.05249 + 0.607656i) q^{37} +(-0.571912 + 0.0758426i) q^{38} +(11.1023 - 3.33407i) q^{39} +(9.53529 - 0.443366i) q^{40} +(5.09057 - 4.27150i) q^{41} +(-8.34619 + 0.623055i) q^{42} +(0.442145 + 1.21478i) q^{43} +(-1.14768 + 0.102592i) q^{44} +(9.28978 - 4.02591i) q^{45} +(6.92227 + 6.33109i) q^{46} +(-0.547022 + 3.10232i) q^{47} +(-5.53809 + 4.16288i) q^{48} +(-4.39261 - 1.59878i) q^{49} +(-9.02828 - 0.385648i) q^{50} +(3.98712 - 0.469453i) q^{51} +(12.1206 - 5.67980i) q^{52} -9.35460i q^{53} +(-3.92670 + 6.21136i) q^{54} +1.94436 q^{55} +(-9.42913 + 2.11841i) q^{56} +(-0.566405 + 0.422419i) q^{57} +(-0.210928 + 4.93796i) q^{58} +(-3.00302 + 8.25072i) q^{59} +(9.93351 - 6.16464i) q^{60} +(-4.67459 - 0.824257i) q^{61} +(-2.30137 - 2.10483i) q^{62} +(-8.55452 + 5.64720i) q^{63} +(-5.62474 + 5.68879i) q^{64} +(-21.2249 + 7.72523i) q^{65} +(-1.16623 + 0.794635i) q^{66} +(-9.67062 - 11.5250i) q^{67} +(4.47550 - 1.20826i) q^{68} +(11.1817 + 2.64011i) q^{69} +(16.1662 - 2.14383i) q^{70} +(-3.92323 - 6.79524i) q^{71} +(-3.43874 + 7.75726i) q^{72} +(0.641809 - 1.11165i) q^{73} +(-0.656224 + 1.58850i) q^{74} +(-9.88600 + 4.97543i) q^{75} +(-0.575829 + 0.578006i) q^{76} +(-1.93861 + 0.341829i) q^{77} +(9.57354 - 13.3079i) q^{78} +(3.84081 + 3.22282i) q^{79} +(10.3084 - 8.71628i) q^{80} +(-0.492839 + 8.98650i) q^{81} +(2.02541 - 9.17698i) q^{82} +(6.67152 - 7.95081i) q^{83} +(-8.82034 + 7.89277i) q^{84} +(-7.70366 + 1.35836i) q^{85} +(1.54283 + 0.980846i) q^{86} +(2.72128 + 5.40708i) q^{87} +(-1.19830 + 1.10430i) q^{88} +(-2.86501 + 4.96234i) q^{89} +(6.94507 - 12.5213i) q^{90} +(19.8040 - 11.4338i) q^{91} +(13.2182 + 1.13131i) q^{92} +(-3.71746 - 0.877728i) q^{93} +(2.06083 + 3.94971i) q^{94} +(1.05466 - 0.884962i) q^{95} +(-2.62077 + 9.44095i) q^{96} +(10.5548 - 3.84165i) q^{97} +(-6.30293 + 1.99385i) q^{98} +(-0.773079 + 1.54586i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12116 0.861977i 0.792779 0.609510i
\(3\) 0.684682 1.59098i 0.395301 0.918551i
\(4\) 0.513991 1.93283i 0.256996 0.966413i
\(5\) −1.15428 + 3.17134i −0.516208 + 1.41827i 0.358460 + 0.933545i \(0.383302\pi\)
−0.874667 + 0.484723i \(0.838920\pi\)
\(6\) −0.603749 2.37392i −0.246480 0.969148i
\(7\) 0.593321 3.36489i 0.224254 1.27181i −0.639851 0.768499i \(-0.721004\pi\)
0.864106 0.503311i \(-0.167885\pi\)
\(8\) −1.08978 2.61005i −0.385297 0.922793i
\(9\) −2.06242 2.17863i −0.687474 0.726209i
\(10\) 1.43950 + 4.55054i 0.455210 + 1.43901i
\(11\) −0.197048 0.541384i −0.0594121 0.163233i 0.906435 0.422344i \(-0.138793\pi\)
−0.965848 + 0.259111i \(0.916570\pi\)
\(12\) −2.72316 2.14112i −0.786109 0.618088i
\(13\) 4.30199 + 5.12691i 1.19316 + 1.42195i 0.881779 + 0.471664i \(0.156346\pi\)
0.311379 + 0.950286i \(0.399209\pi\)
\(14\) −2.23525 4.28400i −0.597396 1.14495i
\(15\) 4.25523 + 4.00779i 1.09870 + 1.03481i
\(16\) −3.47163 1.98691i −0.867906 0.496728i
\(17\) 1.15893 + 2.00733i 0.281082 + 0.486849i 0.971652 0.236417i \(-0.0759732\pi\)
−0.690569 + 0.723266i \(0.742640\pi\)
\(18\) −4.19023 0.664827i −0.987646 0.156701i
\(19\) −0.353289 0.203971i −0.0810500 0.0467943i 0.458927 0.888474i \(-0.348234\pi\)
−0.539977 + 0.841680i \(0.681567\pi\)
\(20\) 5.53637 + 3.86106i 1.23797 + 0.863358i
\(21\) −4.94723 3.24784i −1.07957 0.708737i
\(22\) −0.687582 0.437127i −0.146593 0.0931957i
\(23\) 1.15186 + 6.53250i 0.240178 + 1.36212i 0.831429 + 0.555631i \(0.187523\pi\)
−0.591250 + 0.806488i \(0.701365\pi\)
\(24\) −4.89869 0.0532318i −0.999941 0.0108659i
\(25\) −4.89486 4.10727i −0.978971 0.821454i
\(26\) 9.24249 + 2.03986i 1.81260 + 0.400050i
\(27\) −4.87825 + 1.78960i −0.938820 + 0.344408i
\(28\) −6.19878 2.87631i −1.17146 0.543572i
\(29\) −2.24644 + 2.67721i −0.417154 + 0.497145i −0.933171 0.359434i \(-0.882970\pi\)
0.516016 + 0.856579i \(0.327414\pi\)
\(30\) 8.22541 + 0.825457i 1.50175 + 0.150707i
\(31\) −0.382945 2.17179i −0.0687790 0.390065i −0.999692 0.0248236i \(-0.992098\pi\)
0.930913 0.365241i \(-0.119014\pi\)
\(32\) −5.60491 + 0.764819i −0.990818 + 0.135202i
\(33\) −0.996245 0.0571774i −0.173424 0.00995332i
\(34\) 3.02962 + 1.25156i 0.519575 + 0.214641i
\(35\) 9.98637 + 5.76564i 1.68801 + 0.974570i
\(36\) −5.27097 + 2.86650i −0.878496 + 0.477750i
\(37\) −1.05249 + 0.607656i −0.173028 + 0.0998980i −0.584013 0.811744i \(-0.698518\pi\)
0.410985 + 0.911642i \(0.365185\pi\)
\(38\) −0.571912 + 0.0758426i −0.0927763 + 0.0123033i
\(39\) 11.1023 3.33407i 1.77779 0.533878i
\(40\) 9.53529 0.443366i 1.50766 0.0701023i
\(41\) 5.09057 4.27150i 0.795014 0.667096i −0.151967 0.988386i \(-0.548561\pi\)
0.946981 + 0.321290i \(0.104116\pi\)
\(42\) −8.34619 + 0.623055i −1.28785 + 0.0961395i
\(43\) 0.442145 + 1.21478i 0.0674265 + 0.185253i 0.968830 0.247728i \(-0.0796840\pi\)
−0.901403 + 0.432981i \(0.857462\pi\)
\(44\) −1.14768 + 0.102592i −0.173020 + 0.0154663i
\(45\) 9.28978 4.02591i 1.38484 0.600148i
\(46\) 6.92227 + 6.33109i 1.02063 + 0.933468i
\(47\) −0.547022 + 3.10232i −0.0797914 + 0.452520i 0.918568 + 0.395263i \(0.129346\pi\)
−0.998359 + 0.0572567i \(0.981765\pi\)
\(48\) −5.53809 + 4.16288i −0.799355 + 0.600860i
\(49\) −4.39261 1.59878i −0.627516 0.228397i
\(50\) −9.02828 0.385648i −1.27679 0.0545389i
\(51\) 3.98712 0.469453i 0.558308 0.0657366i
\(52\) 12.1206 5.67980i 1.68083 0.787647i
\(53\) 9.35460i 1.28495i −0.766305 0.642477i \(-0.777907\pi\)
0.766305 0.642477i \(-0.222093\pi\)
\(54\) −3.92670 + 6.21136i −0.534356 + 0.845260i
\(55\) 1.94436 0.262178
\(56\) −9.42913 + 2.11841i −1.26002 + 0.283084i
\(57\) −0.566405 + 0.422419i −0.0750221 + 0.0559508i
\(58\) −0.210928 + 4.93796i −0.0276962 + 0.648385i
\(59\) −3.00302 + 8.25072i −0.390959 + 1.07415i 0.575605 + 0.817728i \(0.304767\pi\)
−0.966564 + 0.256424i \(0.917456\pi\)
\(60\) 9.93351 6.16464i 1.28241 0.795852i
\(61\) −4.67459 0.824257i −0.598520 0.105535i −0.133824 0.991005i \(-0.542726\pi\)
−0.464697 + 0.885470i \(0.653837\pi\)
\(62\) −2.30137 2.10483i −0.292275 0.267314i
\(63\) −8.55452 + 5.64720i −1.07777 + 0.711480i
\(64\) −5.62474 + 5.68879i −0.703092 + 0.711099i
\(65\) −21.2249 + 7.72523i −2.63262 + 0.958196i
\(66\) −1.16623 + 0.794635i −0.143553 + 0.0978129i
\(67\) −9.67062 11.5250i −1.18145 1.40800i −0.892731 0.450589i \(-0.851214\pi\)
−0.288723 0.957413i \(-0.593231\pi\)
\(68\) 4.47550 1.20826i 0.542734 0.146523i
\(69\) 11.1817 + 2.64011i 1.34612 + 0.317831i
\(70\) 16.1662 2.14383i 1.93222 0.256237i
\(71\) −3.92323 6.79524i −0.465602 0.806446i 0.533627 0.845720i \(-0.320829\pi\)
−0.999228 + 0.0392740i \(0.987495\pi\)
\(72\) −3.43874 + 7.75726i −0.405259 + 0.914202i
\(73\) 0.641809 1.11165i 0.0751180 0.130108i −0.826020 0.563641i \(-0.809400\pi\)
0.901138 + 0.433533i \(0.142733\pi\)
\(74\) −0.656224 + 1.58850i −0.0762844 + 0.184660i
\(75\) −9.88600 + 4.97543i −1.14154 + 0.574513i
\(76\) −0.575829 + 0.578006i −0.0660521 + 0.0663019i
\(77\) −1.93861 + 0.341829i −0.220925 + 0.0389551i
\(78\) 9.57354 13.3079i 1.08399 1.50683i
\(79\) 3.84081 + 3.22282i 0.432125 + 0.362596i 0.832753 0.553645i \(-0.186764\pi\)
−0.400628 + 0.916241i \(0.631208\pi\)
\(80\) 10.3084 8.71628i 1.15251 0.974510i
\(81\) −0.492839 + 8.98650i −0.0547599 + 0.998500i
\(82\) 2.02541 9.17698i 0.223669 1.01343i
\(83\) 6.67152 7.95081i 0.732295 0.872715i −0.263468 0.964668i \(-0.584866\pi\)
0.995763 + 0.0919529i \(0.0293109\pi\)
\(84\) −8.82034 + 7.89277i −0.962378 + 0.861172i
\(85\) −7.70366 + 1.35836i −0.835580 + 0.147335i
\(86\) 1.54283 + 0.980846i 0.166368 + 0.105767i
\(87\) 2.72128 + 5.40708i 0.291752 + 0.579700i
\(88\) −1.19830 + 1.10430i −0.127739 + 0.117718i
\(89\) −2.86501 + 4.96234i −0.303690 + 0.526007i −0.976969 0.213382i \(-0.931552\pi\)
0.673278 + 0.739389i \(0.264886\pi\)
\(90\) 6.94507 12.5213i 0.732075 1.31986i
\(91\) 19.8040 11.4338i 2.07602 1.19859i
\(92\) 13.2182 + 1.13131i 1.37809 + 0.117947i
\(93\) −3.71746 0.877728i −0.385483 0.0910161i
\(94\) 2.06083 + 3.94971i 0.212558 + 0.407381i
\(95\) 1.05466 0.884962i 0.108205 0.0907952i
\(96\) −2.62077 + 9.44095i −0.267481 + 0.963563i
\(97\) 10.5548 3.84165i 1.07168 0.390061i 0.254877 0.966974i \(-0.417965\pi\)
0.816806 + 0.576913i \(0.195743\pi\)
\(98\) −6.30293 + 1.99385i −0.636692 + 0.201409i
\(99\) −0.773079 + 1.54586i −0.0776974 + 0.155364i
\(100\) −10.4546 + 7.34980i −1.04546 + 0.734980i
\(101\) −12.2411 2.15844i −1.21804 0.214773i −0.472557 0.881300i \(-0.656669\pi\)
−0.745481 + 0.666527i \(0.767780\pi\)
\(102\) 4.06553 3.96313i 0.402548 0.392409i
\(103\) −14.8537 5.40632i −1.46358 0.532701i −0.517233 0.855844i \(-0.673038\pi\)
−0.946350 + 0.323144i \(0.895260\pi\)
\(104\) 8.69326 16.8156i 0.852444 1.64891i
\(105\) 16.0105 11.9405i 1.56246 1.16527i
\(106\) −8.06345 10.4880i −0.783192 1.01868i
\(107\) 2.44491i 0.236359i −0.992992 0.118179i \(-0.962294\pi\)
0.992992 0.118179i \(-0.0377058\pi\)
\(108\) 0.951602 + 10.3486i 0.0915679 + 0.995799i
\(109\) 16.2522i 1.55668i 0.627843 + 0.778340i \(0.283938\pi\)
−0.627843 + 0.778340i \(0.716062\pi\)
\(110\) 2.17994 1.67600i 0.207849 0.159800i
\(111\) 0.246146 + 2.09054i 0.0233631 + 0.198425i
\(112\) −8.74553 + 10.5028i −0.826375 + 0.992418i
\(113\) −11.4376 4.16294i −1.07596 0.391617i −0.257556 0.966263i \(-0.582917\pi\)
−0.818402 + 0.574646i \(0.805140\pi\)
\(114\) −0.270914 + 0.961827i −0.0253734 + 0.0900833i
\(115\) −22.0464 3.88737i −2.05583 0.362499i
\(116\) 4.01992 + 5.71804i 0.373240 + 0.530907i
\(117\) 2.29712 19.9463i 0.212369 1.84403i
\(118\) 3.74507 + 11.8389i 0.344762 + 1.08986i
\(119\) 7.44207 2.70869i 0.682213 0.248305i
\(120\) 5.82325 15.4740i 0.531588 1.41258i
\(121\) 8.17222 6.85731i 0.742929 0.623392i
\(122\) −5.95145 + 3.10527i −0.538819 + 0.281138i
\(123\) −3.31044 11.0236i −0.298492 0.993965i
\(124\) −4.39452 0.376115i −0.394639 0.0337762i
\(125\) 4.06195 2.34517i 0.363312 0.209758i
\(126\) −4.72322 + 13.7052i −0.420778 + 1.22096i
\(127\) −4.79341 + 8.30243i −0.425346 + 0.736722i −0.996453 0.0841546i \(-0.973181\pi\)
0.571106 + 0.820876i \(0.306514\pi\)
\(128\) −1.40262 + 11.2264i −0.123975 + 0.992285i
\(129\) 2.23542 + 0.128297i 0.196818 + 0.0112960i
\(130\) −17.1375 + 26.9566i −1.50306 + 2.36425i
\(131\) 0.406480 0.0716734i 0.0355143 0.00626213i −0.155863 0.987779i \(-0.549816\pi\)
0.191377 + 0.981517i \(0.438705\pi\)
\(132\) −0.622576 + 1.89618i −0.0541882 + 0.165041i
\(133\) −0.895956 + 1.06776i −0.0776892 + 0.0925864i
\(134\) −20.7766 4.58549i −1.79482 0.396126i
\(135\) −0.0445910 17.5363i −0.00383778 1.50928i
\(136\) 3.97625 5.21243i 0.340960 0.446962i
\(137\) 12.0727 + 10.1302i 1.03144 + 0.865480i 0.991021 0.133703i \(-0.0426867\pi\)
0.0404177 + 0.999183i \(0.487131\pi\)
\(138\) 14.8122 6.67840i 1.26090 0.568503i
\(139\) 2.17442 0.383409i 0.184432 0.0325204i −0.0806691 0.996741i \(-0.525706\pi\)
0.265101 + 0.964221i \(0.414595\pi\)
\(140\) 16.2769 16.3384i 1.37565 1.38085i
\(141\) 4.56118 + 2.99440i 0.384121 + 0.252174i
\(142\) −10.2559 4.23680i −0.860656 0.355544i
\(143\) 1.92793 3.33928i 0.161222 0.279244i
\(144\) 2.83121 + 11.6612i 0.235934 + 0.971769i
\(145\) −5.89733 10.2145i −0.489747 0.848267i
\(146\) −0.238644 1.79955i −0.0197503 0.148932i
\(147\) −5.55117 + 5.89389i −0.457853 + 0.486120i
\(148\) 0.633521 + 2.34661i 0.0520751 + 0.192890i
\(149\) −4.40044 5.24424i −0.360498 0.429625i 0.555060 0.831810i \(-0.312695\pi\)
−0.915558 + 0.402186i \(0.868251\pi\)
\(150\) −6.79506 + 14.0997i −0.554814 + 1.15124i
\(151\) 11.0866 4.03519i 0.902213 0.328379i 0.151074 0.988522i \(-0.451727\pi\)
0.751139 + 0.660144i \(0.229505\pi\)
\(152\) −0.147367 + 1.14439i −0.0119531 + 0.0928221i
\(153\) 1.98302 6.66484i 0.160318 0.538821i
\(154\) −1.87884 + 2.05428i −0.151401 + 0.165539i
\(155\) 7.32952 + 1.29239i 0.588721 + 0.103807i
\(156\) −0.737680 23.1725i −0.0590617 1.85528i
\(157\) 4.12184 11.3247i 0.328959 0.903808i −0.659417 0.751778i \(-0.729197\pi\)
0.988376 0.152030i \(-0.0485810\pi\)
\(158\) 7.08416 + 0.302604i 0.563585 + 0.0240739i
\(159\) −14.8830 6.40493i −1.18030 0.507944i
\(160\) 4.04411 18.6579i 0.319715 1.47504i
\(161\) 22.6646 1.78622
\(162\) 7.19360 + 10.5001i 0.565183 + 0.824966i
\(163\) 13.3972i 1.04935i 0.851303 + 0.524675i \(0.175813\pi\)
−0.851303 + 0.524675i \(0.824187\pi\)
\(164\) −5.63955 12.0347i −0.440375 0.939752i
\(165\) 1.33127 3.09344i 0.103639 0.240824i
\(166\) 0.626417 14.6648i 0.0486194 1.13821i
\(167\) −6.36473 2.31657i −0.492517 0.179262i 0.0838081 0.996482i \(-0.473292\pi\)
−0.576325 + 0.817220i \(0.695514\pi\)
\(168\) −3.08562 + 16.4520i −0.238060 + 1.26930i
\(169\) −5.52068 + 31.3093i −0.424668 + 2.40841i
\(170\) −7.46615 + 8.16332i −0.572627 + 0.626098i
\(171\) 0.284253 + 1.19036i 0.0217373 + 0.0910291i
\(172\) 2.57522 0.230201i 0.196359 0.0175526i
\(173\) 0.576454 + 1.58380i 0.0438270 + 0.120414i 0.959675 0.281111i \(-0.0907028\pi\)
−0.915848 + 0.401524i \(0.868481\pi\)
\(174\) 7.71176 + 3.71651i 0.584627 + 0.281748i
\(175\) −16.7247 + 14.0337i −1.26427 + 1.06085i
\(176\) −0.391606 + 2.27100i −0.0295184 + 0.171183i
\(177\) 11.0706 + 10.4269i 0.832117 + 0.783730i
\(178\) 1.06530 + 8.03314i 0.0798473 + 0.602110i
\(179\) 10.3190 5.95768i 0.771279 0.445298i −0.0620517 0.998073i \(-0.519764\pi\)
0.833331 + 0.552775i \(0.186431\pi\)
\(180\) −3.00652 20.0248i −0.224092 1.49256i
\(181\) 14.3027 + 8.25769i 1.06311 + 0.613789i 0.926292 0.376806i \(-0.122978\pi\)
0.136822 + 0.990596i \(0.456311\pi\)
\(182\) 12.3477 29.8897i 0.915271 2.21557i
\(183\) −4.51198 + 6.87282i −0.333536 + 0.508054i
\(184\) 15.7949 10.1254i 1.16441 0.746456i
\(185\) −0.712223 4.03922i −0.0523636 0.296969i
\(186\) −4.92445 + 2.22030i −0.361078 + 0.162800i
\(187\) 0.858372 1.02297i 0.0627703 0.0748068i
\(188\) 5.71507 + 2.65186i 0.416815 + 0.193407i
\(189\) 3.12744 + 17.4766i 0.227487 + 1.27123i
\(190\) 0.419620 1.90127i 0.0304424 0.137933i
\(191\) −10.1267 8.49734i −0.732745 0.614846i 0.198134 0.980175i \(-0.436512\pi\)
−0.930878 + 0.365329i \(0.880956\pi\)
\(192\) 5.19958 + 12.8438i 0.375247 + 0.926925i
\(193\) −0.0307325 0.174293i −0.00221218 0.0125459i 0.983682 0.179918i \(-0.0575831\pi\)
−0.985894 + 0.167372i \(0.946472\pi\)
\(194\) 8.52224 13.4051i 0.611861 0.962433i
\(195\) −2.24163 + 39.0576i −0.160527 + 2.79698i
\(196\) −5.34793 + 7.66839i −0.381995 + 0.547742i
\(197\) −0.841221 0.485679i −0.0599345 0.0346032i 0.469733 0.882808i \(-0.344350\pi\)
−0.529668 + 0.848205i \(0.677683\pi\)
\(198\) 0.465748 + 2.39953i 0.0330993 + 0.170527i
\(199\) 2.04926 + 3.54942i 0.145268 + 0.251612i 0.929473 0.368890i \(-0.120262\pi\)
−0.784205 + 0.620502i \(0.786929\pi\)
\(200\) −5.38585 + 17.2519i −0.380837 + 1.21989i
\(201\) −24.9573 + 7.49478i −1.76035 + 0.528641i
\(202\) −15.5848 + 8.13161i −1.09654 + 0.572138i
\(203\) 7.67565 + 9.14748i 0.538725 + 0.642027i
\(204\) 1.14197 7.94770i 0.0799542 0.556450i
\(205\) 7.67047 + 21.0745i 0.535729 + 1.47190i
\(206\) −21.3135 + 6.74225i −1.48498 + 0.469755i
\(207\) 11.8563 15.9822i 0.824068 1.11084i
\(208\) −4.74818 26.3464i −0.329227 1.82679i
\(209\) −0.0408121 + 0.231457i −0.00282303 + 0.0160102i
\(210\) 7.65788 27.1878i 0.528444 1.87614i
\(211\) 1.28341 3.52613i 0.0883534 0.242749i −0.887644 0.460530i \(-0.847660\pi\)
0.975998 + 0.217781i \(0.0698817\pi\)
\(212\) −18.0808 4.80819i −1.24180 0.330228i
\(213\) −13.4972 + 1.58920i −0.924815 + 0.108890i
\(214\) −2.10746 2.74114i −0.144063 0.187380i
\(215\) −4.36285 −0.297544
\(216\) 9.98719 + 10.7822i 0.679542 + 0.733636i
\(217\) −7.53504 −0.511512
\(218\) 14.0090 + 18.2213i 0.948812 + 1.23410i
\(219\) −1.32917 1.78223i −0.0898169 0.120432i
\(220\) 0.999386 3.75811i 0.0673786 0.253372i
\(221\) −5.30569 + 14.5773i −0.356899 + 0.980572i
\(222\) 2.07797 + 2.13166i 0.139464 + 0.143067i
\(223\) 0.680991 3.86209i 0.0456025 0.258625i −0.953480 0.301457i \(-0.902527\pi\)
0.999082 + 0.0428323i \(0.0136381\pi\)
\(224\) −0.751980 + 19.3137i −0.0502437 + 1.29045i
\(225\) 1.14704 + 19.1350i 0.0764691 + 1.27567i
\(226\) −16.4117 + 5.19162i −1.09169 + 0.345342i
\(227\) −4.04735 11.1200i −0.268632 0.738061i −0.998514 0.0544879i \(-0.982647\pi\)
0.729882 0.683573i \(-0.239575\pi\)
\(228\) 0.525335 + 1.31188i 0.0347912 + 0.0868815i
\(229\) −6.81207 8.11831i −0.450154 0.536473i 0.492470 0.870330i \(-0.336094\pi\)
−0.942624 + 0.333857i \(0.891650\pi\)
\(230\) −28.0683 + 14.6451i −1.85077 + 0.965669i
\(231\) −0.783489 + 3.31833i −0.0515498 + 0.218330i
\(232\) 9.43579 + 2.94575i 0.619490 + 0.193398i
\(233\) −0.565006 0.978619i −0.0370148 0.0641115i 0.846925 0.531713i \(-0.178452\pi\)
−0.883939 + 0.467602i \(0.845118\pi\)
\(234\) −14.6178 24.3430i −0.955596 1.59135i
\(235\) −9.20711 5.31572i −0.600605 0.346760i
\(236\) 14.4037 + 10.0451i 0.937599 + 0.653881i
\(237\) 7.75717 3.90404i 0.503883 0.253594i
\(238\) 6.00890 9.45176i 0.389499 0.612667i
\(239\) 1.00787 + 5.71591i 0.0651936 + 0.369731i 0.999898 + 0.0143045i \(0.00455341\pi\)
−0.934704 + 0.355427i \(0.884335\pi\)
\(240\) −6.80944 22.3683i −0.439547 1.44387i
\(241\) 22.5974 + 18.9615i 1.45563 + 1.22142i 0.928342 + 0.371728i \(0.121235\pi\)
0.527286 + 0.849688i \(0.323210\pi\)
\(242\) 3.25151 14.7324i 0.209015 0.947034i
\(243\) 13.9599 + 6.93699i 0.895527 + 0.445008i
\(244\) −3.99585 + 8.61151i −0.255808 + 0.551295i
\(245\) 10.1406 12.0851i 0.647857 0.772086i
\(246\) −13.2136 9.50569i −0.842470 0.606061i
\(247\) −0.474102 2.68876i −0.0301664 0.171082i
\(248\) −5.25115 + 3.36629i −0.333449 + 0.213760i
\(249\) −8.08169 16.0580i −0.512157 1.01764i
\(250\) 2.53261 6.13061i 0.160176 0.387734i
\(251\) −5.20730 3.00644i −0.328682 0.189765i 0.326574 0.945172i \(-0.394106\pi\)
−0.655256 + 0.755407i \(0.727439\pi\)
\(252\) 6.51809 + 19.4370i 0.410601 + 1.22442i
\(253\) 3.30962 1.91081i 0.208074 0.120132i
\(254\) 1.78233 + 13.4401i 0.111833 + 0.843310i
\(255\) −3.11343 + 13.1864i −0.194971 + 0.825765i
\(256\) 8.10437 + 13.7956i 0.506523 + 0.862226i
\(257\) 19.8936 16.6927i 1.24093 1.04126i 0.243480 0.969906i \(-0.421711\pi\)
0.997451 0.0713589i \(-0.0227336\pi\)
\(258\) 2.61685 1.78304i 0.162918 0.111007i
\(259\) 1.42023 + 3.90205i 0.0882489 + 0.242462i
\(260\) 4.02210 + 44.9947i 0.249440 + 2.79045i
\(261\) 10.4658 0.627364i 0.647814 0.0388329i
\(262\) 0.393948 0.430734i 0.0243382 0.0266108i
\(263\) −2.41565 + 13.6998i −0.148956 + 0.844769i 0.815150 + 0.579250i \(0.196654\pi\)
−0.964106 + 0.265519i \(0.914457\pi\)
\(264\) 0.936457 + 2.66256i 0.0576349 + 0.163869i
\(265\) 29.6667 + 10.7978i 1.82241 + 0.663303i
\(266\) −0.0841249 + 1.96942i −0.00515803 + 0.120753i
\(267\) 5.93336 + 7.95579i 0.363115 + 0.486887i
\(268\) −27.2464 + 12.7679i −1.66434 + 0.779921i
\(269\) 3.89404i 0.237424i −0.992929 0.118712i \(-0.962123\pi\)
0.992929 0.118712i \(-0.0378765\pi\)
\(270\) −15.1659 19.6225i −0.922966 1.19419i
\(271\) 27.1005 1.64624 0.823119 0.567869i \(-0.192232\pi\)
0.823119 + 0.567869i \(0.192232\pi\)
\(272\) −0.0349931 9.27139i −0.00212177 0.562161i
\(273\) −4.63154 39.3362i −0.280314 2.38073i
\(274\) 22.2674 + 0.951165i 1.34522 + 0.0574620i
\(275\) −1.25909 + 3.45933i −0.0759261 + 0.208605i
\(276\) 10.8502 20.2553i 0.653103 1.21923i
\(277\) −7.05421 1.24385i −0.423847 0.0747356i −0.0423435 0.999103i \(-0.513482\pi\)
−0.381503 + 0.924368i \(0.624593\pi\)
\(278\) 2.10738 2.30417i 0.126392 0.138195i
\(279\) −3.94173 + 5.31344i −0.235985 + 0.318107i
\(280\) 4.16561 32.3483i 0.248943 1.93318i
\(281\) −0.728892 + 0.265295i −0.0434820 + 0.0158262i −0.363670 0.931528i \(-0.618476\pi\)
0.320188 + 0.947354i \(0.396254\pi\)
\(282\) 7.69491 0.574436i 0.458225 0.0342072i
\(283\) 0.982704 + 1.17114i 0.0584157 + 0.0696171i 0.794461 0.607315i \(-0.207753\pi\)
−0.736045 + 0.676932i \(0.763309\pi\)
\(284\) −15.1505 + 4.09023i −0.899017 + 0.242710i
\(285\) −0.685850 2.28385i −0.0406263 0.135284i
\(286\) −0.716862 5.40569i −0.0423889 0.319645i
\(287\) −11.3528 19.6636i −0.670134 1.16071i
\(288\) 13.2259 + 10.6336i 0.779346 + 0.626593i
\(289\) 5.81375 10.0697i 0.341985 0.592336i
\(290\) −15.4165 6.36868i −0.905288 0.373982i
\(291\) 1.11473 19.4228i 0.0653469 1.13859i
\(292\) −1.81873 1.81188i −0.106433 0.106032i
\(293\) −15.6621 + 2.76164i −0.914987 + 0.161337i −0.611267 0.791424i \(-0.709340\pi\)
−0.303720 + 0.952761i \(0.598229\pi\)
\(294\) −1.14334 + 11.3930i −0.0666807 + 0.664451i
\(295\) −22.6996 19.0472i −1.32162 1.10897i
\(296\) 2.73300 + 2.08484i 0.158853 + 0.121179i
\(297\) 1.93011 + 2.28837i 0.111996 + 0.132785i
\(298\) −9.45399 2.08654i −0.547655 0.120870i
\(299\) −28.5363 + 34.0082i −1.65029 + 1.96674i
\(300\) 4.53532 + 21.6652i 0.261847 + 1.25084i
\(301\) 4.34995 0.767013i 0.250727 0.0442099i
\(302\) 8.95158 14.0805i 0.515105 0.810240i
\(303\) −11.8153 + 17.9975i −0.678772 + 1.03393i
\(304\) 0.821214 + 1.41007i 0.0470998 + 0.0808729i
\(305\) 8.00977 13.8733i 0.458638 0.794385i
\(306\) −3.52166 9.18166i −0.201320 0.524880i
\(307\) 0.370582 0.213955i 0.0211502 0.0122111i −0.489388 0.872066i \(-0.662780\pi\)
0.510538 + 0.859855i \(0.329446\pi\)
\(308\) −0.335733 + 3.92269i −0.0191302 + 0.223516i
\(309\) −18.7714 + 19.9304i −1.06787 + 1.13380i
\(310\) 9.33156 4.86890i 0.529997 0.276535i
\(311\) 8.46179 7.10028i 0.479824 0.402620i −0.370539 0.928817i \(-0.620827\pi\)
0.850363 + 0.526197i \(0.176383\pi\)
\(312\) −20.8012 25.3442i −1.17764 1.43483i
\(313\) −26.1193 + 9.50664i −1.47635 + 0.537347i −0.949817 0.312807i \(-0.898731\pi\)
−0.526533 + 0.850155i \(0.676508\pi\)
\(314\) −5.14037 16.2497i −0.290088 0.917023i
\(315\) −8.03493 33.6478i −0.452717 1.89584i
\(316\) 8.20330 5.76711i 0.461472 0.324425i
\(317\) −3.46040 0.610163i −0.194356 0.0342701i 0.0756229 0.997136i \(-0.475905\pi\)
−0.269979 + 0.962866i \(0.587017\pi\)
\(318\) −22.2071 + 5.64784i −1.24531 + 0.316715i
\(319\) 1.89205 + 0.688651i 0.105935 + 0.0385571i
\(320\) −11.5486 24.4044i −0.645587 1.36425i
\(321\) −3.88980 1.67399i −0.217108 0.0934329i
\(322\) 25.4106 19.5363i 1.41607 1.08872i
\(323\) 0.945557i 0.0526122i
\(324\) 17.1160 + 5.57155i 0.950889 + 0.309531i
\(325\) 42.7649i 2.37217i
\(326\) 11.5481 + 15.0204i 0.639589 + 0.831902i
\(327\) 25.8569 + 11.1276i 1.42989 + 0.615358i
\(328\) −16.6965 8.63165i −0.921908 0.476603i
\(329\) 10.1144 + 3.68134i 0.557625 + 0.202959i
\(330\) −1.17391 4.61576i −0.0646215 0.254089i
\(331\) 17.1533 + 3.02459i 0.942832 + 0.166247i 0.623876 0.781523i \(-0.285557\pi\)
0.318956 + 0.947770i \(0.396668\pi\)
\(332\) −11.9384 16.9815i −0.655206 0.931983i
\(333\) 3.49454 + 1.03974i 0.191499 + 0.0569776i
\(334\) −9.13270 + 2.88901i −0.499719 + 0.158079i
\(335\) 47.7123 17.3659i 2.60680 0.948798i
\(336\) 10.7218 + 21.1050i 0.584920 + 1.15137i
\(337\) −2.18023 + 1.82943i −0.118765 + 0.0996554i −0.700236 0.713912i \(-0.746922\pi\)
0.581471 + 0.813567i \(0.302477\pi\)
\(338\) 20.7984 + 39.8614i 1.13128 + 2.16818i
\(339\) −14.4543 + 15.3467i −0.785048 + 0.833516i
\(340\) −1.33414 + 15.5880i −0.0723538 + 0.845379i
\(341\) −1.10031 + 0.635266i −0.0595853 + 0.0344016i
\(342\) 1.34476 + 1.08956i 0.0727160 + 0.0589168i
\(343\) 3.97285 6.88117i 0.214514 0.371548i
\(344\) 2.68880 2.47787i 0.144971 0.133598i
\(345\) −21.2795 + 32.4137i −1.14565 + 1.74509i
\(346\) 2.01149 + 1.27879i 0.108138 + 0.0687484i
\(347\) 25.7859 4.54675i 1.38426 0.244082i 0.568599 0.822615i \(-0.307486\pi\)
0.815659 + 0.578533i \(0.196374\pi\)
\(348\) 11.8496 2.48056i 0.635208 0.132972i
\(349\) −3.27963 + 3.90851i −0.175555 + 0.209218i −0.846646 0.532157i \(-0.821382\pi\)
0.671091 + 0.741375i \(0.265826\pi\)
\(350\) −6.65433 + 30.1504i −0.355689 + 1.61160i
\(351\) −30.1613 17.3115i −1.60989 0.924021i
\(352\) 1.51850 + 2.88371i 0.0809361 + 0.153702i
\(353\) −11.4022 9.56754i −0.606875 0.509229i 0.286772 0.957999i \(-0.407418\pi\)
−0.893647 + 0.448770i \(0.851862\pi\)
\(354\) 21.3996 + 2.14755i 1.13738 + 0.114141i
\(355\) 26.0785 4.59835i 1.38410 0.244055i
\(356\) 8.11875 + 8.08816i 0.430293 + 0.428672i
\(357\) 0.785982 13.6948i 0.0415986 0.724803i
\(358\) 6.43386 15.5743i 0.340040 0.823125i
\(359\) −7.74329 + 13.4118i −0.408675 + 0.707846i −0.994742 0.102417i \(-0.967342\pi\)
0.586066 + 0.810263i \(0.300676\pi\)
\(360\) −20.6317 19.8594i −1.08739 1.04668i
\(361\) −9.41679 16.3104i −0.495621 0.858440i
\(362\) 23.1536 3.07045i 1.21693 0.161380i
\(363\) −5.31445 17.6969i −0.278936 0.928846i
\(364\) −11.9205 44.1545i −0.624805 2.31432i
\(365\) 2.78459 + 3.31854i 0.145752 + 0.173700i
\(366\) 0.865564 + 11.5947i 0.0452438 + 0.606067i
\(367\) 24.0744 8.76237i 1.25667 0.457392i 0.374023 0.927419i \(-0.377978\pi\)
0.882652 + 0.470027i \(0.155756\pi\)
\(368\) 8.98068 24.9670i 0.468150 1.30150i
\(369\) −19.8049 2.28084i −1.03100 0.118736i
\(370\) −4.28022 3.91468i −0.222518 0.203515i
\(371\) −31.4772 5.55028i −1.63422 0.288156i
\(372\) −3.60724 + 6.73406i −0.187027 + 0.349145i
\(373\) 4.86012 13.3531i 0.251648 0.691396i −0.747970 0.663733i \(-0.768971\pi\)
0.999617 0.0276634i \(-0.00880666\pi\)
\(374\) 0.0805960 1.88680i 0.00416752 0.0975644i
\(375\) −0.949965 8.06816i −0.0490560 0.416638i
\(376\) 8.69335 1.95310i 0.448325 0.100724i
\(377\) −23.3900 −1.20465
\(378\) 18.5708 + 16.8982i 0.955177 + 0.869152i
\(379\) 1.93137i 0.0992080i 0.998769 + 0.0496040i \(0.0157959\pi\)
−0.998769 + 0.0496040i \(0.984204\pi\)
\(380\) −1.16839 2.49333i −0.0599373 0.127905i
\(381\) 9.92702 + 13.3107i 0.508577 + 0.681930i
\(382\) −18.6782 0.797850i −0.955659 0.0408216i
\(383\) 12.4377 + 4.52695i 0.635537 + 0.231317i 0.639639 0.768675i \(-0.279084\pi\)
−0.00410258 + 0.999992i \(0.501306\pi\)
\(384\) 16.9007 + 9.91806i 0.862458 + 0.506129i
\(385\) 1.15363 6.54257i 0.0587945 0.333440i
\(386\) −0.184692 0.168919i −0.00940060 0.00859776i
\(387\) 1.73467 3.46866i 0.0881783 0.176322i
\(388\) −2.00014 22.3753i −0.101542 1.13593i
\(389\) −8.22522 22.5986i −0.417035 1.14579i −0.953374 0.301792i \(-0.902415\pi\)
0.536339 0.844003i \(-0.319807\pi\)
\(390\) 31.1536 + 45.7220i 1.57752 + 2.31523i
\(391\) −11.7780 + 9.88288i −0.595637 + 0.499799i
\(392\) 0.614104 + 13.2073i 0.0310169 + 0.667068i
\(393\) 0.164279 0.695774i 0.00828677 0.0350972i
\(394\) −1.36179 + 0.180590i −0.0686058 + 0.00909799i
\(395\) −14.6540 + 8.46051i −0.737325 + 0.425695i
\(396\) 2.59051 + 2.28878i 0.130178 + 0.115016i
\(397\) 28.6833 + 16.5603i 1.43957 + 0.831137i 0.997820 0.0659997i \(-0.0210236\pi\)
0.441752 + 0.897137i \(0.354357\pi\)
\(398\) 5.35707 + 2.21305i 0.268525 + 0.110930i
\(399\) 1.08534 + 2.15652i 0.0543347 + 0.107961i
\(400\) 8.83232 + 23.9846i 0.441616 + 1.19923i
\(401\) 1.94567 + 11.0344i 0.0971620 + 0.551033i 0.994063 + 0.108802i \(0.0347016\pi\)
−0.896901 + 0.442231i \(0.854187\pi\)
\(402\) −21.5208 + 29.9155i −1.07336 + 1.49205i
\(403\) 9.48715 11.3063i 0.472588 0.563209i
\(404\) −10.4637 + 22.5505i −0.520590 + 1.12193i
\(405\) −27.9304 11.9359i −1.38787 0.593097i
\(406\) 16.4905 + 3.63954i 0.818412 + 0.180627i
\(407\) 0.536366 + 0.450065i 0.0265867 + 0.0223089i
\(408\) −5.57040 9.89498i −0.275776 0.489875i
\(409\) 1.95004 + 11.0592i 0.0964233 + 0.546844i 0.994302 + 0.106601i \(0.0339966\pi\)
−0.897879 + 0.440243i \(0.854892\pi\)
\(410\) 26.7655 + 17.0160i 1.32185 + 0.840362i
\(411\) 24.3829 12.2714i 1.20272 0.605305i
\(412\) −18.0842 + 25.9309i −0.890943 + 1.27752i
\(413\) 25.9810 + 15.0001i 1.27844 + 0.738109i
\(414\) −0.483555 28.1384i −0.0237654 1.38293i
\(415\) 17.5140 + 30.3351i 0.859728 + 1.48909i
\(416\) −28.0334 25.4457i −1.37445 1.24758i
\(417\) 0.878792 3.72197i 0.0430347 0.182266i
\(418\) 0.153754 + 0.294679i 0.00752035 + 0.0144132i
\(419\) −8.95678 10.6743i −0.437567 0.521472i 0.501522 0.865145i \(-0.332774\pi\)
−0.939090 + 0.343672i \(0.888329\pi\)
\(420\) −14.8496 37.0828i −0.724586 1.80945i
\(421\) 4.06687 + 11.1736i 0.198207 + 0.544570i 0.998483 0.0550623i \(-0.0175358\pi\)
−0.800276 + 0.599632i \(0.795314\pi\)
\(422\) −1.60054 5.05962i −0.0779132 0.246298i
\(423\) 7.88699 5.20653i 0.383478 0.253150i
\(424\) −24.4160 + 10.1945i −1.18575 + 0.495089i
\(425\) 2.57184 14.5856i 0.124753 0.707507i
\(426\) −13.7627 + 13.4161i −0.666804 + 0.650010i
\(427\) −5.54707 + 15.2404i −0.268442 + 0.737537i
\(428\) −4.72559 1.25666i −0.228420 0.0607432i
\(429\) −3.99269 5.35364i −0.192769 0.258476i
\(430\) −4.89145 + 3.76068i −0.235887 + 0.181356i
\(431\) −28.2506 −1.36079 −0.680393 0.732848i \(-0.738191\pi\)
−0.680393 + 0.732848i \(0.738191\pi\)
\(432\) 20.4912 + 3.47984i 0.985885 + 0.167424i
\(433\) −27.8524 −1.33850 −0.669251 0.743036i \(-0.733385\pi\)
−0.669251 + 0.743036i \(0.733385\pi\)
\(434\) −8.44798 + 6.49503i −0.405516 + 0.311772i
\(435\) −20.2888 + 2.38886i −0.972774 + 0.114537i
\(436\) 31.4127 + 8.35350i 1.50440 + 0.400060i
\(437\) 0.925505 2.54280i 0.0442729 0.121639i
\(438\) −3.02645 0.852446i −0.144609 0.0407315i
\(439\) −2.13242 + 12.0935i −0.101775 + 0.577193i 0.890685 + 0.454621i \(0.150225\pi\)
−0.992460 + 0.122572i \(0.960886\pi\)
\(440\) −2.11894 5.07489i −0.101016 0.241936i
\(441\) 5.57627 + 12.8672i 0.265537 + 0.612725i
\(442\) 6.61674 + 20.9168i 0.314726 + 0.994910i
\(443\) −7.22670 19.8552i −0.343351 0.943348i −0.984415 0.175861i \(-0.943729\pi\)
0.641064 0.767487i \(-0.278493\pi\)
\(444\) 4.16717 + 0.598764i 0.197765 + 0.0284161i
\(445\) −12.4303 14.8138i −0.589252 0.702243i
\(446\) −2.56554 4.91701i −0.121482 0.232827i
\(447\) −11.3564 + 3.41036i −0.537137 + 0.161305i
\(448\) 15.8049 + 22.3019i 0.746710 + 1.05367i
\(449\) 13.8708 + 24.0249i 0.654604 + 1.13381i 0.981993 + 0.188917i \(0.0604978\pi\)
−0.327389 + 0.944890i \(0.606169\pi\)
\(450\) 17.7799 + 20.4646i 0.838154 + 0.964712i
\(451\) −3.31561 1.91427i −0.156126 0.0901393i
\(452\) −13.9251 + 19.9671i −0.654980 + 0.939176i
\(453\) 1.17089 20.4013i 0.0550133 0.958538i
\(454\) −14.1229 8.97856i −0.662821 0.421385i
\(455\) 13.4014 + 76.0030i 0.628266 + 3.56307i
\(456\) 1.71980 + 1.01800i 0.0805368 + 0.0476722i
\(457\) −26.0906 21.8926i −1.22047 1.02409i −0.998800 0.0489720i \(-0.984405\pi\)
−0.221668 0.975122i \(-0.571150\pi\)
\(458\) −14.6352 3.23006i −0.683858 0.150931i
\(459\) −9.24588 7.71824i −0.431561 0.360256i
\(460\) −18.8452 + 40.6137i −0.878664 + 1.89362i
\(461\) −8.93591 + 10.6494i −0.416187 + 0.495992i −0.932884 0.360176i \(-0.882717\pi\)
0.516698 + 0.856168i \(0.327161\pi\)
\(462\) 1.98191 + 4.39572i 0.0922068 + 0.204508i
\(463\) 3.22751 + 18.3041i 0.149995 + 0.850665i 0.963220 + 0.268715i \(0.0865991\pi\)
−0.813224 + 0.581950i \(0.802290\pi\)
\(464\) 13.1182 4.83078i 0.608996 0.224263i
\(465\) 7.07455 10.7762i 0.328075 0.499735i
\(466\) −1.47701 0.610165i −0.0684211 0.0282653i
\(467\) −8.34116 4.81577i −0.385983 0.222847i 0.294435 0.955671i \(-0.404868\pi\)
−0.680418 + 0.732824i \(0.738202\pi\)
\(468\) −37.3720 14.6921i −1.72752 0.679145i
\(469\) −44.5181 + 25.7026i −2.05566 + 1.18683i
\(470\) −14.9047 + 1.97654i −0.687500 + 0.0911712i
\(471\) −15.1952 14.3116i −0.700156 0.659442i
\(472\) 24.8074 1.15348i 1.14186 0.0530933i
\(473\) 0.570541 0.478741i 0.0262335 0.0220125i
\(474\) 5.33183 11.0635i 0.244899 0.508166i
\(475\) 0.891532 + 2.44946i 0.0409063 + 0.112389i
\(476\) −1.41027 15.7765i −0.0646395 0.723113i
\(477\) −20.3802 + 19.2931i −0.933145 + 0.883372i
\(478\) 6.05696 + 5.53968i 0.277039 + 0.253379i
\(479\) 5.05443 28.6651i 0.230943 1.30974i −0.620049 0.784563i \(-0.712887\pi\)
0.850992 0.525179i \(-0.176002\pi\)
\(480\) −26.9154 19.2088i −1.22852 0.876759i
\(481\) −7.64321 2.78190i −0.348500 0.126844i
\(482\) 41.6796 + 1.78037i 1.89846 + 0.0810937i
\(483\) 15.5180 36.0588i 0.706094 1.64073i
\(484\) −9.05352 19.3201i −0.411524 0.878185i
\(485\) 37.9074i 1.72129i
\(486\) 21.6308 4.25563i 0.981191 0.193039i
\(487\) −13.1429 −0.595563 −0.297782 0.954634i \(-0.596247\pi\)
−0.297782 + 0.954634i \(0.596247\pi\)
\(488\) 2.94295 + 13.0992i 0.133221 + 0.592973i
\(489\) 21.3147 + 9.17282i 0.963882 + 0.414809i
\(490\) 0.952140 22.2902i 0.0430133 1.00697i
\(491\) 4.01945 11.0433i 0.181395 0.498379i −0.815352 0.578965i \(-0.803457\pi\)
0.996748 + 0.0805856i \(0.0256791\pi\)
\(492\) −23.0082 + 0.732451i −1.03729 + 0.0330215i
\(493\) −7.97752 1.40665i −0.359289 0.0633524i
\(494\) −2.84920 2.60587i −0.128191 0.117243i
\(495\) −4.01010 4.23604i −0.180240 0.190396i
\(496\) −2.98571 + 8.30052i −0.134062 + 0.372704i
\(497\) −25.1930 + 9.16949i −1.13006 + 0.411308i
\(498\) −22.9025 11.0374i −1.02629 0.494596i
\(499\) 23.2598 + 27.7199i 1.04125 + 1.24091i 0.969911 + 0.243461i \(0.0782827\pi\)
0.0713387 + 0.997452i \(0.477273\pi\)
\(500\) −2.44499 9.05643i −0.109343 0.405016i
\(501\) −8.04343 + 8.54003i −0.359354 + 0.381540i
\(502\) −8.42969 + 1.11788i −0.376236 + 0.0498936i
\(503\) 1.18773 + 2.05720i 0.0529581 + 0.0917261i 0.891289 0.453435i \(-0.149802\pi\)
−0.838331 + 0.545161i \(0.816468\pi\)
\(504\) 24.0621 + 16.1735i 1.07181 + 0.720426i
\(505\) 20.9748 36.3294i 0.933366 1.61664i
\(506\) 2.06353 4.99514i 0.0917352 0.222061i
\(507\) 46.0326 + 30.2202i 2.04438 + 1.34213i
\(508\) 13.5834 + 13.5322i 0.602665 + 0.600394i
\(509\) 40.5051 7.14215i 1.79536 0.316570i 0.826269 0.563276i \(-0.190459\pi\)
0.969090 + 0.246706i \(0.0793482\pi\)
\(510\) 7.87573 + 17.4678i 0.348743 + 0.773485i
\(511\) −3.35977 2.81918i −0.148627 0.124713i
\(512\) 20.9778 + 8.48130i 0.927096 + 0.374824i
\(513\) 2.08846 + 0.362779i 0.0922077 + 0.0160171i
\(514\) 7.91515 35.8631i 0.349123 1.58185i
\(515\) 34.2906 40.8660i 1.51103 1.80077i
\(516\) 1.39696 4.25474i 0.0614979 0.187304i
\(517\) 1.78734 0.315155i 0.0786069 0.0138605i
\(518\) 4.95578 + 3.15061i 0.217745 + 0.138430i
\(519\) 2.91447 + 0.167270i 0.127931 + 0.00734234i
\(520\) 43.2938 + 46.9792i 1.89856 + 2.06017i
\(521\) −5.21530 + 9.03316i −0.228486 + 0.395750i −0.957360 0.288899i \(-0.906711\pi\)
0.728873 + 0.684649i \(0.240044\pi\)
\(522\) 11.1930 9.72461i 0.489904 0.425635i
\(523\) −14.6626 + 8.46543i −0.641149 + 0.370167i −0.785057 0.619424i \(-0.787366\pi\)
0.143908 + 0.989591i \(0.454033\pi\)
\(524\) 0.0703951 0.822494i 0.00307523 0.0359308i
\(525\) 10.8762 + 36.2173i 0.474677 + 1.58065i
\(526\) 9.10062 + 17.4419i 0.396806 + 0.760504i
\(527\) 3.91569 3.28565i 0.170570 0.143125i
\(528\) 3.34498 + 2.17795i 0.145572 + 0.0947831i
\(529\) −19.7338 + 7.18252i −0.857992 + 0.312283i
\(530\) 42.5685 13.4660i 1.84906 0.584924i
\(531\) 24.1687 10.4740i 1.04883 0.454533i
\(532\) 1.60328 + 2.28054i 0.0695109 + 0.0988741i
\(533\) 43.7992 + 7.72298i 1.89715 + 0.334519i
\(534\) 13.5099 + 3.80529i 0.584632 + 0.164671i
\(535\) 7.75366 + 2.82210i 0.335220 + 0.122010i
\(536\) −19.5419 + 37.8006i −0.844083 + 1.63274i
\(537\) −2.41330 20.4964i −0.104142 0.884486i
\(538\) −3.35658 4.36584i −0.144712 0.188225i
\(539\) 2.69313i 0.116001i
\(540\) −33.9175 8.92733i −1.45958 0.384171i
\(541\) 29.4745i 1.26721i −0.773658 0.633603i \(-0.781575\pi\)
0.773658 0.633603i \(-0.218425\pi\)
\(542\) 30.3839 23.3600i 1.30510 1.00340i
\(543\) 22.9306 17.1015i 0.984048 0.733894i
\(544\) −8.03096 10.3645i −0.344325 0.444376i
\(545\) −51.5414 18.7595i −2.20779 0.803570i
\(546\) −39.0996 40.1098i −1.67331 1.71654i
\(547\) −31.4846 5.55158i −1.34618 0.237369i −0.546333 0.837568i \(-0.683977\pi\)
−0.799850 + 0.600199i \(0.795088\pi\)
\(548\) 25.7851 18.1276i 1.10149 0.774371i
\(549\) 7.84523 + 11.8842i 0.334826 + 0.507204i
\(550\) 1.57022 + 4.96376i 0.0669543 + 0.211655i
\(551\) 1.33972 0.487617i 0.0570739 0.0207732i
\(552\) −5.29485 32.0620i −0.225364 1.36465i
\(553\) 13.1233 11.0117i 0.558059 0.468267i
\(554\) −8.98106 + 4.68602i −0.381569 + 0.199090i
\(555\) −6.91395 1.63245i −0.293481 0.0692935i
\(556\) 0.376572 4.39985i 0.0159702 0.186595i
\(557\) 7.19468 4.15385i 0.304849 0.176004i −0.339770 0.940508i \(-0.610349\pi\)
0.644619 + 0.764504i \(0.277016\pi\)
\(558\) 0.160762 + 9.35488i 0.00680561 + 0.396024i
\(559\) −4.32598 + 7.49282i −0.182970 + 0.316913i
\(560\) −23.2131 39.8582i −0.980934 1.68432i
\(561\) −1.03981 2.06606i −0.0439007 0.0872290i
\(562\) −0.588525 + 0.925725i −0.0248254 + 0.0390494i
\(563\) −6.57453 + 1.15927i −0.277083 + 0.0488573i −0.310463 0.950585i \(-0.600484\pi\)
0.0333796 + 0.999443i \(0.489373\pi\)
\(564\) 8.13206 7.27687i 0.342422 0.306412i
\(565\) 26.4043 31.4674i 1.11084 1.32384i
\(566\) 2.11126 + 0.465966i 0.0887430 + 0.0195860i
\(567\) 29.9462 + 6.99023i 1.25762 + 0.293562i
\(568\) −13.4604 + 17.6452i −0.564787 + 0.740375i
\(569\) −24.2709 20.3657i −1.01749 0.853775i −0.0281798 0.999603i \(-0.508971\pi\)
−0.989310 + 0.145827i \(0.953416\pi\)
\(570\) −2.73758 1.96937i −0.114664 0.0824880i
\(571\) −32.6020 + 5.74861i −1.36435 + 0.240572i −0.807416 0.589983i \(-0.799134\pi\)
−0.556936 + 0.830555i \(0.688023\pi\)
\(572\) −5.46329 5.44271i −0.228432 0.227571i
\(573\) −20.4527 + 10.2934i −0.854423 + 0.430014i
\(574\) −29.6778 12.2602i −1.23873 0.511729i
\(575\) 21.1926 36.7066i 0.883791 1.53077i
\(576\) 23.9943 + 0.521532i 0.999764 + 0.0217305i
\(577\) 15.0611 + 26.0866i 0.627001 + 1.08600i 0.988150 + 0.153490i \(0.0490512\pi\)
−0.361149 + 0.932508i \(0.617615\pi\)
\(578\) −2.16172 16.3011i −0.0899159 0.678035i
\(579\) −0.298338 0.0704404i −0.0123985 0.00292740i
\(580\) −22.7740 + 6.14836i −0.945638 + 0.255297i
\(581\) −22.7953 27.1663i −0.945707 1.12705i
\(582\) −15.4922 22.7370i −0.642174 0.942477i
\(583\) −5.06443 + 1.84330i −0.209747 + 0.0763418i
\(584\) −3.60089 0.463700i −0.149006 0.0191880i
\(585\) 60.6050 + 30.3085i 2.50571 + 1.25310i
\(586\) −15.1792 + 16.5966i −0.627046 + 0.685598i
\(587\) 15.0318 + 2.65051i 0.620427 + 0.109398i 0.475022 0.879974i \(-0.342440\pi\)
0.145406 + 0.989372i \(0.453551\pi\)
\(588\) 8.53861 + 13.7588i 0.352126 + 0.567405i
\(589\) −0.307693 + 0.845379i −0.0126783 + 0.0348332i
\(590\) −41.8681 1.78842i −1.72368 0.0736281i
\(591\) −1.34867 + 1.00583i −0.0554770 + 0.0413743i
\(592\) 4.86121 0.0183477i 0.199795 0.000754087i
\(593\) 27.1813 1.11620 0.558101 0.829773i \(-0.311530\pi\)
0.558101 + 0.829773i \(0.311530\pi\)
\(594\) 4.13648 + 0.901917i 0.169722 + 0.0370061i
\(595\) 26.7279i 1.09574i
\(596\) −12.3980 + 5.80978i −0.507841 + 0.237978i
\(597\) 7.05014 0.830102i 0.288543 0.0339738i
\(598\) −2.67939 + 62.7262i −0.109568 + 2.56506i
\(599\) −39.7660 14.4737i −1.62480 0.591378i −0.640509 0.767951i \(-0.721277\pi\)
−0.984288 + 0.176573i \(0.943499\pi\)
\(600\) 23.7597 + 20.3808i 0.969987 + 0.832043i
\(601\) −0.648834 + 3.67972i −0.0264665 + 0.150099i −0.995177 0.0980937i \(-0.968726\pi\)
0.968711 + 0.248193i \(0.0798366\pi\)
\(602\) 4.21583 4.60950i 0.171824 0.187869i
\(603\) −5.16379 + 44.8381i −0.210286 + 1.82595i
\(604\) −2.10090 23.5025i −0.0854844 0.956302i
\(605\) 12.3139 + 33.8321i 0.500631 + 1.37547i
\(606\) 2.26661 + 30.3626i 0.0920747 + 1.23340i
\(607\) 35.5497 29.8298i 1.44292 1.21075i 0.505370 0.862903i \(-0.331356\pi\)
0.937550 0.347850i \(-0.113088\pi\)
\(608\) 2.13616 + 0.873040i 0.0866325 + 0.0354065i
\(609\) 19.8088 5.94867i 0.802694 0.241052i
\(610\) −2.97827 22.4584i −0.120587 0.909315i
\(611\) −18.2586 + 10.5416i −0.738664 + 0.426468i
\(612\) −11.8627 7.25850i −0.479522 0.293407i
\(613\) −21.9670 12.6827i −0.887239 0.512248i −0.0142005 0.999899i \(-0.504520\pi\)
−0.873038 + 0.487652i \(0.837854\pi\)
\(614\) 0.231056 0.559311i 0.00932466 0.0225719i
\(615\) 38.7808 + 2.22575i 1.56379 + 0.0897507i
\(616\) 3.00486 + 4.68735i 0.121069 + 0.188859i
\(617\) 1.23909 + 7.02722i 0.0498838 + 0.282905i 0.999538 0.0303950i \(-0.00967653\pi\)
−0.949654 + 0.313300i \(0.898565\pi\)
\(618\) −3.86622 + 38.5256i −0.155522 + 1.54973i
\(619\) −17.2889 + 20.6041i −0.694900 + 0.828149i −0.991939 0.126716i \(-0.959556\pi\)
0.297039 + 0.954865i \(0.404001\pi\)
\(620\) 6.26528 13.5024i 0.251620 0.542269i
\(621\) −17.3096 29.8058i −0.694610 1.19607i
\(622\) 3.36672 15.2544i 0.134993 0.611646i
\(623\) 14.9979 + 12.5847i 0.600877 + 0.504196i
\(624\) −45.1675 10.4847i −1.80815 0.419722i
\(625\) −2.79914 15.8747i −0.111966 0.634989i
\(626\) −21.0893 + 33.1727i −0.842900 + 1.32585i
\(627\) 0.340300 + 0.223406i 0.0135903 + 0.00892197i
\(628\) −19.7700 13.7876i −0.788910 0.550185i
\(629\) −2.43953 1.40846i −0.0972705 0.0561592i
\(630\) −38.0120 30.7985i −1.51444 1.22704i
\(631\) −11.7466 20.3457i −0.467624 0.809949i 0.531691 0.846938i \(-0.321557\pi\)
−0.999316 + 0.0369893i \(0.988223\pi\)
\(632\) 4.22608 13.5369i 0.168104 0.538469i
\(633\) −4.73127 4.45615i −0.188051 0.177116i
\(634\) −4.40561 + 2.29870i −0.174969 + 0.0912930i
\(635\) −20.7970 24.7848i −0.825302 0.983557i
\(636\) −20.0293 + 25.4741i −0.794214 + 1.01011i
\(637\) −10.7002 29.3985i −0.423956 1.16481i
\(638\) 2.71489 0.858820i 0.107484 0.0340010i
\(639\) −6.71294 + 22.5619i −0.265560 + 0.892535i
\(640\) −33.9839 17.4066i −1.34333 0.688055i
\(641\) −7.57282 + 42.9476i −0.299108 + 1.69633i 0.350911 + 0.936409i \(0.385872\pi\)
−0.650019 + 0.759918i \(0.725239\pi\)
\(642\) −5.80402 + 1.47612i −0.229067 + 0.0582576i
\(643\) −0.120739 + 0.331727i −0.00476148 + 0.0130820i −0.942051 0.335471i \(-0.891105\pi\)
0.937289 + 0.348553i \(0.113327\pi\)
\(644\) 11.6494 43.8066i 0.459050 1.72622i
\(645\) −2.98717 + 6.94120i −0.117620 + 0.273310i
\(646\) −0.815048 1.06012i −0.0320676 0.0417098i
\(647\) −26.0967 −1.02597 −0.512984 0.858398i \(-0.671460\pi\)
−0.512984 + 0.858398i \(0.671460\pi\)
\(648\) 23.9923 8.50701i 0.942507 0.334187i
\(649\) 5.05855 0.198565
\(650\) −36.8624 47.9463i −1.44586 1.88061i
\(651\) −5.15911 + 11.9881i −0.202201 + 0.469850i
\(652\) 25.8944 + 6.88605i 1.01410 + 0.269678i
\(653\) 0.281991 0.774764i 0.0110352 0.0303189i −0.934053 0.357135i \(-0.883754\pi\)
0.945088 + 0.326816i \(0.105976\pi\)
\(654\) 38.5814 9.81226i 1.50865 0.383690i
\(655\) −0.241889 + 1.37182i −0.00945137 + 0.0536014i
\(656\) −26.1597 + 4.71453i −1.02136 + 0.184071i
\(657\) −3.74554 + 0.894418i −0.146127 + 0.0348946i
\(658\) 14.5131 4.59101i 0.565779 0.178976i
\(659\) 14.2971 + 39.2809i 0.556935 + 1.53017i 0.824058 + 0.566505i \(0.191705\pi\)
−0.267123 + 0.963662i \(0.586073\pi\)
\(660\) −5.29481 4.16311i −0.206100 0.162049i
\(661\) 1.06741 + 1.27208i 0.0415173 + 0.0494784i 0.786404 0.617713i \(-0.211941\pi\)
−0.744886 + 0.667192i \(0.767496\pi\)
\(662\) 21.8387 11.3947i 0.848786 0.442868i
\(663\) 19.5594 + 18.4220i 0.759624 + 0.715452i
\(664\) −28.0226 8.74835i −1.08749 0.339502i
\(665\) −2.35205 4.07387i −0.0912086 0.157978i
\(666\) 4.81416 1.84649i 0.186545 0.0715501i
\(667\) −20.0764 11.5911i −0.777362 0.448810i
\(668\) −7.74894 + 11.1112i −0.299816 + 0.429905i
\(669\) −5.67824 3.72775i −0.219533 0.144123i
\(670\) 38.5241 60.5968i 1.48831 2.34106i
\(671\) 0.474878 + 2.69317i 0.0183325 + 0.103969i
\(672\) 30.2128 + 14.4201i 1.16548 + 0.556269i
\(673\) −4.23311 3.55200i −0.163175 0.136920i 0.557544 0.830147i \(-0.311744\pi\)
−0.720719 + 0.693227i \(0.756188\pi\)
\(674\) −0.867456 + 3.93039i −0.0334132 + 0.151393i
\(675\) 31.2287 + 11.2765i 1.20199 + 0.434032i
\(676\) 57.6779 + 26.7632i 2.21838 + 1.02936i
\(677\) −2.08429 + 2.48396i −0.0801056 + 0.0954662i −0.804609 0.593805i \(-0.797625\pi\)
0.724503 + 0.689272i \(0.242069\pi\)
\(678\) −2.97705 + 29.6653i −0.114333 + 1.13929i
\(679\) −6.66432 37.7952i −0.255753 1.45045i
\(680\) 11.9407 + 18.6266i 0.457906 + 0.714299i
\(681\) −20.4628 1.17442i −0.784137 0.0450040i
\(682\) −0.686041 + 1.66068i −0.0262699 + 0.0635907i
\(683\) −22.4547 12.9642i −0.859206 0.496063i 0.00454025 0.999990i \(-0.498555\pi\)
−0.863746 + 0.503927i \(0.831888\pi\)
\(684\) 2.44686 + 0.0624244i 0.0935581 + 0.00238686i
\(685\) −46.0615 + 26.5936i −1.75992 + 1.01609i
\(686\) −1.47722 11.1394i −0.0564006 0.425304i
\(687\) −17.5801 + 5.27939i −0.670724 + 0.201421i
\(688\) 0.878705 5.09578i 0.0335003 0.194275i
\(689\) 47.9602 40.2434i 1.82714 1.53315i
\(690\) 4.08218 + 54.6832i 0.155406 + 2.08176i
\(691\) 10.2247 + 28.0920i 0.388964 + 1.06867i 0.967469 + 0.252991i \(0.0814145\pi\)
−0.578504 + 0.815679i \(0.696363\pi\)
\(692\) 3.35749 0.300128i 0.127633 0.0114092i
\(693\) 4.74295 + 3.51852i 0.180170 + 0.133657i
\(694\) 24.9909 27.3245i 0.948640 1.03722i
\(695\) −1.29396 + 7.33841i −0.0490827 + 0.278362i
\(696\) 11.1471 12.9952i 0.422531 0.492583i
\(697\) 14.4739 + 5.26808i 0.548240 + 0.199543i
\(698\) −0.307938 + 7.20902i −0.0116556 + 0.272866i
\(699\) −1.94381 + 0.228869i −0.0735217 + 0.00865663i
\(700\) 18.5284 + 39.5392i 0.700306 + 1.49444i
\(701\) 24.6223i 0.929973i −0.885318 0.464987i \(-0.846059\pi\)
0.885318 0.464987i \(-0.153941\pi\)
\(702\) −48.7377 + 6.58939i −1.83949 + 0.248700i
\(703\) 0.495778 0.0186986
\(704\) 4.18816 + 1.92418i 0.157847 + 0.0725203i
\(705\) −14.7611 + 11.0087i −0.555937 + 0.414612i
\(706\) −21.0306 0.898336i −0.791498 0.0338093i
\(707\) −14.5258 + 39.9094i −0.546300 + 1.50095i
\(708\) 25.8435 16.0382i 0.971257 0.602753i
\(709\) 26.4148 + 4.65765i 0.992030 + 0.174922i 0.646029 0.763313i \(-0.276428\pi\)
0.346001 + 0.938234i \(0.387540\pi\)
\(710\) 25.2745 27.6346i 0.948535 1.03711i
\(711\) −0.900037 15.0145i −0.0337540 0.563088i
\(712\) 16.0742 + 2.06994i 0.602407 + 0.0775742i
\(713\) 13.7461 5.00317i 0.514796 0.187370i
\(714\) −10.9234 16.0315i −0.408796 0.599963i
\(715\) 8.36463 + 9.96858i 0.312819 + 0.372804i
\(716\) −6.21128 23.0070i −0.232126 0.859813i
\(717\) 9.78395 + 2.31008i 0.365388 + 0.0862716i
\(718\) 2.87919 + 21.7113i 0.107450 + 0.810257i
\(719\) 9.26666 + 16.0503i 0.345588 + 0.598576i 0.985460 0.169905i \(-0.0543462\pi\)
−0.639872 + 0.768481i \(0.721013\pi\)
\(720\) −40.2498 4.48151i −1.50002 0.167016i
\(721\) −27.0047 + 46.7736i −1.00571 + 1.74194i
\(722\) −24.6169 10.1694i −0.916145 0.378467i
\(723\) 45.6393 22.9694i 1.69735 0.854241i
\(724\) 23.3122 23.4003i 0.866390 0.869666i
\(725\) 21.9920 3.87779i 0.816764 0.144017i
\(726\) −21.2127 15.2601i −0.787276 0.566355i
\(727\) 4.82234 + 4.04643i 0.178851 + 0.150074i 0.727818 0.685770i \(-0.240534\pi\)
−0.548967 + 0.835844i \(0.684979\pi\)
\(728\) −51.4249 39.2290i −1.90593 1.45392i
\(729\) 20.5947 17.4602i 0.762766 0.646675i
\(730\) 5.98247 + 1.32036i 0.221421 + 0.0488687i
\(731\) −1.92605 + 2.29538i −0.0712377 + 0.0848978i
\(732\) 10.9648 + 12.2534i 0.405272 + 0.452900i
\(733\) 22.4113 3.95172i 0.827781 0.145960i 0.256323 0.966591i \(-0.417489\pi\)
0.571458 + 0.820631i \(0.306378\pi\)
\(734\) 19.4383 30.5756i 0.717480 1.12857i
\(735\) −12.2840 24.4078i −0.453102 0.900297i
\(736\) −11.4522 35.7331i −0.422135 1.31714i
\(737\) −4.33388 + 7.50649i −0.159640 + 0.276505i
\(738\) −24.1705 + 14.5142i −0.889727 + 0.534275i
\(739\) 37.2940 21.5317i 1.37188 0.792056i 0.380717 0.924692i \(-0.375677\pi\)
0.991165 + 0.132636i \(0.0423440\pi\)
\(740\) −8.17317 0.699520i −0.300452 0.0257149i
\(741\) −4.60237 1.08666i −0.169072 0.0399196i
\(742\) −40.0752 + 20.9099i −1.47121 + 0.767626i
\(743\) −27.0616 + 22.7074i −0.992794 + 0.833053i −0.985970 0.166924i \(-0.946617\pi\)
−0.00682406 + 0.999977i \(0.502172\pi\)
\(744\) 1.76032 + 10.6593i 0.0645365 + 0.390789i
\(745\) 21.7106 7.90201i 0.795415 0.289507i
\(746\) −6.06108 19.1602i −0.221912 0.701506i
\(747\) −31.0814 + 1.86316i −1.13721 + 0.0681693i
\(748\) −1.53602 2.18488i −0.0561625 0.0798871i
\(749\) −8.22687 1.45062i −0.300603 0.0530045i
\(750\) −8.01963 8.22684i −0.292835 0.300402i
\(751\) −23.5008 8.55359i −0.857557 0.312125i −0.124439 0.992227i \(-0.539713\pi\)
−0.733117 + 0.680102i \(0.761935\pi\)
\(752\) 8.06309 9.68320i 0.294031 0.353110i
\(753\) −8.34852 + 6.22625i −0.304237 + 0.226897i
\(754\) −26.2239 + 20.1616i −0.955017 + 0.734243i
\(755\) 39.8171i 1.44909i
\(756\) 35.3867 + 2.93803i 1.28700 + 0.106855i
\(757\) 31.3025i 1.13771i −0.822439 0.568853i \(-0.807387\pi\)
0.822439 0.568853i \(-0.192613\pi\)
\(758\) 1.66480 + 2.16538i 0.0604682 + 0.0786500i
\(759\) −0.774019 6.57383i −0.0280951 0.238615i
\(760\) −3.45915 1.78829i −0.125476 0.0648681i
\(761\) −2.59308 0.943805i −0.0939992 0.0342129i 0.294592 0.955623i \(-0.404816\pi\)
−0.388592 + 0.921410i \(0.627038\pi\)
\(762\) 22.6033 + 6.36658i 0.818831 + 0.230637i
\(763\) 54.6869 + 9.64278i 1.97980 + 0.349092i
\(764\) −21.6289 + 15.2056i −0.782507 + 0.550121i
\(765\) 18.8476 + 13.9819i 0.681435 + 0.505517i
\(766\) 17.8468 5.64558i 0.644830 0.203983i
\(767\) −55.2197 + 20.0983i −1.99387 + 0.725708i
\(768\) 27.4974 3.44825i 0.992229 0.124428i
\(769\) 3.61913 3.03681i 0.130509 0.109510i −0.575197 0.818015i \(-0.695074\pi\)
0.705706 + 0.708505i \(0.250630\pi\)
\(770\) −4.34614 8.32966i −0.156624 0.300180i
\(771\) −12.9370 43.0796i −0.465914 1.55147i
\(772\) −0.352674 0.0301844i −0.0126930 0.00108636i
\(773\) 17.3435 10.0133i