Properties

Label 585.2.bt.b.571.28
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.28
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.28

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0488628 - 0.0282110i) q^{2} +(-1.54283 + 0.787195i) q^{3} +(-0.998408 + 1.72929i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.0531795 + 0.0819893i) q^{6} +(3.39747 - 1.96153i) q^{7} +0.225508i q^{8} +(1.76065 - 2.42902i) q^{9} +O(q^{10})\) \(q+(0.0488628 - 0.0282110i) q^{2} +(-1.54283 + 0.787195i) q^{3} +(-0.998408 + 1.72929i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.0531795 + 0.0819893i) q^{6} +(3.39747 - 1.96153i) q^{7} +0.225508i q^{8} +(1.76065 - 2.42902i) q^{9} -0.0564219 q^{10} +(1.93688 - 1.11826i) q^{11} +(0.179082 - 3.45395i) q^{12} +(-1.61661 + 3.22282i) q^{13} +(0.110673 - 0.191692i) q^{14} +(1.72973 + 0.0896838i) q^{15} +(-1.99045 - 3.44757i) q^{16} +5.60271 q^{17} +(0.0175053 - 0.168358i) q^{18} +6.06808i q^{19} +(1.72929 - 0.998408i) q^{20} +(-3.69761 + 5.70079i) q^{21} +(0.0630943 - 0.109282i) q^{22} +(-1.24872 + 2.16284i) q^{23} +(-0.177519 - 0.347921i) q^{24} +(0.500000 + 0.866025i) q^{25} +(0.0119265 + 0.203082i) q^{26} +(-0.804269 + 5.13353i) q^{27} +7.83364i q^{28} +(-2.26353 - 3.92055i) q^{29} +(0.0870494 - 0.0444151i) q^{30} +(-1.13390 - 0.654658i) q^{31} +(-0.585110 - 0.337813i) q^{32} +(-2.10799 + 3.24998i) q^{33} +(0.273764 - 0.158058i) q^{34} -3.92306 q^{35} +(2.44264 + 5.46983i) q^{36} +8.55454i q^{37} +(0.171186 + 0.296503i) q^{38} +(-0.0428269 - 6.24485i) q^{39} +(0.112754 - 0.195296i) q^{40} +(9.94634 + 5.74252i) q^{41} +(-0.0198512 + 0.382870i) q^{42} +(4.04825 + 7.01177i) q^{43} +4.46591i q^{44} +(-2.73927 + 1.22327i) q^{45} +0.140910i q^{46} +(-1.02507 + 0.591824i) q^{47} +(5.78484 + 3.75214i) q^{48} +(4.19522 - 7.26633i) q^{49} +(0.0488628 + 0.0282110i) q^{50} +(-8.64402 + 4.41042i) q^{51} +(-3.95916 - 6.01329i) q^{52} -4.19836 q^{53} +(0.105523 + 0.273528i) q^{54} -2.23652 q^{55} +(0.442341 + 0.766158i) q^{56} +(-4.77676 - 9.36201i) q^{57} +(-0.221205 - 0.127713i) q^{58} +(3.81984 + 2.20539i) q^{59} +(-1.88206 + 2.90167i) q^{60} +(-1.24259 - 2.15224i) q^{61} -0.0738742 q^{62} +(1.21716 - 11.7061i) q^{63} +7.92370 q^{64} +(3.01144 - 1.98274i) q^{65} +(-0.0113171 + 0.218272i) q^{66} +(10.7969 + 6.23362i) q^{67} +(-5.59379 + 9.68873i) q^{68} +(0.223979 - 4.31988i) q^{69} +(-0.191692 + 0.110673i) q^{70} -16.1695i q^{71} +(0.547763 + 0.397040i) q^{72} -2.60190i q^{73} +(0.241332 + 0.417999i) q^{74} +(-1.45315 - 0.942532i) q^{75} +(-10.4935 - 6.05842i) q^{76} +(4.38700 - 7.59851i) q^{77} +(-0.178266 - 0.303933i) q^{78} +(-1.96689 - 3.40675i) q^{79} +3.98091i q^{80} +(-2.80024 - 8.55328i) q^{81} +0.648008 q^{82} +(9.81398 - 5.66610i) q^{83} +(-6.16660 - 12.0860i) q^{84} +(-4.85209 - 2.80135i) q^{85} +(0.395618 + 0.228410i) q^{86} +(6.57849 + 4.26690i) q^{87} +(0.252176 + 0.436782i) q^{88} -6.84387i q^{89} +(-0.0993391 + 0.137050i) q^{90} +(0.829258 + 14.1205i) q^{91} +(-2.49346 - 4.31880i) q^{92} +(2.26476 + 0.117424i) q^{93} +(-0.0333918 + 0.0578364i) q^{94} +(3.03404 - 5.25511i) q^{95} +(1.16865 + 0.0605928i) q^{96} +(-7.85275 + 4.53379i) q^{97} -0.473405i q^{98} +(0.693895 - 6.67357i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0488628 0.0282110i 0.0345512 0.0199482i −0.482625 0.875827i \(-0.660317\pi\)
0.517176 + 0.855879i \(0.326983\pi\)
\(3\) −1.54283 + 0.787195i −0.890753 + 0.454487i
\(4\) −0.998408 + 1.72929i −0.499204 + 0.864647i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −0.0531795 + 0.0819893i −0.0217104 + 0.0334720i
\(7\) 3.39747 1.96153i 1.28412 0.741390i 0.306525 0.951863i \(-0.400834\pi\)
0.977600 + 0.210473i \(0.0675004\pi\)
\(8\) 0.225508i 0.0797291i
\(9\) 1.76065 2.42902i 0.586882 0.809672i
\(10\) −0.0564219 −0.0178422
\(11\) 1.93688 1.11826i 0.583991 0.337168i −0.178727 0.983899i \(-0.557198\pi\)
0.762718 + 0.646731i \(0.223864\pi\)
\(12\) 0.179082 3.45395i 0.0516965 0.997069i
\(13\) −1.61661 + 3.22282i −0.448368 + 0.893849i
\(14\) 0.110673 0.191692i 0.0295787 0.0512318i
\(15\) 1.72973 + 0.0896838i 0.446614 + 0.0231563i
\(16\) −1.99045 3.44757i −0.497614 0.861892i
\(17\) 5.60271 1.35886 0.679428 0.733742i \(-0.262228\pi\)
0.679428 + 0.733742i \(0.262228\pi\)
\(18\) 0.0175053 0.168358i 0.00412604 0.0396824i
\(19\) 6.06808i 1.39211i 0.717987 + 0.696056i \(0.245064\pi\)
−0.717987 + 0.696056i \(0.754936\pi\)
\(20\) 1.72929 0.998408i 0.386682 0.223251i
\(21\) −3.69761 + 5.70079i −0.806886 + 1.24401i
\(22\) 0.0630943 0.109282i 0.0134517 0.0232991i
\(23\) −1.24872 + 2.16284i −0.260376 + 0.450984i −0.966342 0.257262i \(-0.917180\pi\)
0.705966 + 0.708246i \(0.250513\pi\)
\(24\) −0.177519 0.347921i −0.0362359 0.0710190i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 0.0119265 + 0.203082i 0.00233898 + 0.0398277i
\(27\) −0.804269 + 5.13353i −0.154782 + 0.987949i
\(28\) 7.83364i 1.48042i
\(29\) −2.26353 3.92055i −0.420327 0.728028i 0.575644 0.817700i \(-0.304751\pi\)
−0.995971 + 0.0896720i \(0.971418\pi\)
\(30\) 0.0870494 0.0444151i 0.0158930 0.00810905i
\(31\) −1.13390 0.654658i −0.203655 0.117580i 0.394704 0.918808i \(-0.370847\pi\)
−0.598359 + 0.801228i \(0.704180\pi\)
\(32\) −0.585110 0.337813i −0.103434 0.0597175i
\(33\) −2.10799 + 3.24998i −0.366954 + 0.565750i
\(34\) 0.273764 0.158058i 0.0469502 0.0271067i
\(35\) −3.92306 −0.663119
\(36\) 2.44264 + 5.46983i 0.407106 + 0.911638i
\(37\) 8.55454i 1.40636i 0.711013 + 0.703179i \(0.248237\pi\)
−0.711013 + 0.703179i \(0.751763\pi\)
\(38\) 0.171186 + 0.296503i 0.0277701 + 0.0480992i
\(39\) −0.0428269 6.24485i −0.00685779 0.999976i
\(40\) 0.112754 0.195296i 0.0178280 0.0308790i
\(41\) 9.94634 + 5.74252i 1.55336 + 0.896831i 0.997865 + 0.0653099i \(0.0208036\pi\)
0.555493 + 0.831522i \(0.312530\pi\)
\(42\) −0.0198512 + 0.382870i −0.00306311 + 0.0590781i
\(43\) 4.04825 + 7.01177i 0.617352 + 1.06929i 0.989967 + 0.141299i \(0.0451279\pi\)
−0.372615 + 0.927986i \(0.621539\pi\)
\(44\) 4.46591i 0.673262i
\(45\) −2.73927 + 1.22327i −0.408347 + 0.182354i
\(46\) 0.140910i 0.0207761i
\(47\) −1.02507 + 0.591824i −0.149522 + 0.0863264i −0.572894 0.819629i \(-0.694179\pi\)
0.423373 + 0.905956i \(0.360846\pi\)
\(48\) 5.78484 + 3.75214i 0.834970 + 0.541574i
\(49\) 4.19522 7.26633i 0.599317 1.03805i
\(50\) 0.0488628 + 0.0282110i 0.00691025 + 0.00398963i
\(51\) −8.64402 + 4.41042i −1.21041 + 0.617583i
\(52\) −3.95916 6.01329i −0.549037 0.833893i
\(53\) −4.19836 −0.576689 −0.288345 0.957527i \(-0.593105\pi\)
−0.288345 + 0.957527i \(0.593105\pi\)
\(54\) 0.105523 + 0.273528i 0.0143599 + 0.0372225i
\(55\) −2.23652 −0.301572
\(56\) 0.442341 + 0.766158i 0.0591104 + 0.102382i
\(57\) −4.77676 9.36201i −0.632698 1.24003i
\(58\) −0.221205 0.127713i −0.0290457 0.0167695i
\(59\) 3.81984 + 2.20539i 0.497301 + 0.287117i 0.727598 0.686003i \(-0.240637\pi\)
−0.230297 + 0.973120i \(0.573970\pi\)
\(60\) −1.88206 + 2.90167i −0.242973 + 0.374603i
\(61\) −1.24259 2.15224i −0.159098 0.275566i 0.775446 0.631414i \(-0.217525\pi\)
−0.934544 + 0.355849i \(0.884192\pi\)
\(62\) −0.0738742 −0.00938203
\(63\) 1.21716 11.7061i 0.153348 1.47483i
\(64\) 7.92370 0.990462
\(65\) 3.01144 1.98274i 0.373523 0.245928i
\(66\) −0.0113171 + 0.218272i −0.00139303 + 0.0268674i
\(67\) 10.7969 + 6.23362i 1.31906 + 0.761558i 0.983577 0.180490i \(-0.0577683\pi\)
0.335480 + 0.942048i \(0.391102\pi\)
\(68\) −5.59379 + 9.68873i −0.678347 + 1.17493i
\(69\) 0.223979 4.31988i 0.0269640 0.520053i
\(70\) −0.191692 + 0.110673i −0.0229116 + 0.0132280i
\(71\) 16.1695i 1.91896i −0.281771 0.959482i \(-0.590922\pi\)
0.281771 0.959482i \(-0.409078\pi\)
\(72\) 0.547763 + 0.397040i 0.0645545 + 0.0467916i
\(73\) 2.60190i 0.304530i −0.988340 0.152265i \(-0.951343\pi\)
0.988340 0.152265i \(-0.0486566\pi\)
\(74\) 0.241332 + 0.417999i 0.0280542 + 0.0485914i
\(75\) −1.45315 0.942532i −0.167795 0.108834i
\(76\) −10.4935 6.05842i −1.20369 0.694948i
\(77\) 4.38700 7.59851i 0.499945 0.865930i
\(78\) −0.178266 0.303933i −0.0201846 0.0344136i
\(79\) −1.96689 3.40675i −0.221292 0.383289i 0.733909 0.679248i \(-0.237694\pi\)
−0.955201 + 0.295959i \(0.904361\pi\)
\(80\) 3.98091i 0.445079i
\(81\) −2.80024 8.55328i −0.311138 0.950365i
\(82\) 0.648008 0.0715606
\(83\) 9.81398 5.66610i 1.07722 0.621936i 0.147078 0.989125i \(-0.453013\pi\)
0.930146 + 0.367189i \(0.119680\pi\)
\(84\) −6.16660 12.0860i −0.672832 1.31869i
\(85\) −4.85209 2.80135i −0.526283 0.303849i
\(86\) 0.395618 + 0.228410i 0.0426606 + 0.0246301i
\(87\) 6.57849 + 4.26690i 0.705288 + 0.457460i
\(88\) 0.252176 + 0.436782i 0.0268821 + 0.0465611i
\(89\) 6.84387i 0.725449i −0.931896 0.362725i \(-0.881847\pi\)
0.931896 0.362725i \(-0.118153\pi\)
\(90\) −0.0993391 + 0.137050i −0.0104713 + 0.0144463i
\(91\) 0.829258 + 14.1205i 0.0869299 + 1.48023i
\(92\) −2.49346 4.31880i −0.259961 0.450266i
\(93\) 2.26476 + 0.117424i 0.234845 + 0.0121764i
\(94\) −0.0333918 + 0.0578364i −0.00344411 + 0.00596536i
\(95\) 3.03404 5.25511i 0.311286 0.539163i
\(96\) 1.16865 + 0.0605928i 0.119275 + 0.00618422i
\(97\) −7.85275 + 4.53379i −0.797326 + 0.460336i −0.842535 0.538641i \(-0.818938\pi\)
0.0452095 + 0.998978i \(0.485604\pi\)
\(98\) 0.473405i 0.0478211i
\(99\) 0.693895 6.67357i 0.0697391 0.670719i
\(100\) −1.99682 −0.199682
\(101\) 8.04105 + 13.9275i 0.800115 + 1.38584i 0.919540 + 0.392996i \(0.128561\pi\)
−0.119425 + 0.992843i \(0.538105\pi\)
\(102\) −0.297949 + 0.459362i −0.0295014 + 0.0454836i
\(103\) −2.49430 + 4.32026i −0.245771 + 0.425688i −0.962348 0.271820i \(-0.912374\pi\)
0.716577 + 0.697508i \(0.245708\pi\)
\(104\) −0.726772 0.364560i −0.0712658 0.0357480i
\(105\) 6.05262 3.08822i 0.590675 0.301379i
\(106\) −0.205144 + 0.118440i −0.0199253 + 0.0115039i
\(107\) 2.98845 0.288905 0.144452 0.989512i \(-0.453858\pi\)
0.144452 + 0.989512i \(0.453858\pi\)
\(108\) −8.07440 6.51618i −0.776959 0.627020i
\(109\) 3.26351i 0.312587i 0.987711 + 0.156294i \(0.0499546\pi\)
−0.987711 + 0.156294i \(0.950045\pi\)
\(110\) −0.109282 + 0.0630943i −0.0104197 + 0.00601580i
\(111\) −6.73409 13.1982i −0.639172 1.25272i
\(112\) −13.5250 7.80868i −1.27800 0.737851i
\(113\) −7.10718 + 12.3100i −0.668588 + 1.15803i 0.309712 + 0.950831i \(0.399768\pi\)
−0.978299 + 0.207197i \(0.933566\pi\)
\(114\) −0.497517 0.322697i −0.0465968 0.0302234i
\(115\) 2.16284 1.24872i 0.201686 0.116444i
\(116\) 9.03972 0.839317
\(117\) 4.98199 + 9.60103i 0.460585 + 0.887615i
\(118\) 0.248864 0.0229098
\(119\) 19.0351 10.9899i 1.74494 1.00744i
\(120\) −0.0202244 + 0.390068i −0.00184623 + 0.0356081i
\(121\) −2.99900 + 5.19442i −0.272636 + 0.472220i
\(122\) −0.121433 0.0701095i −0.0109941 0.00634742i
\(123\) −19.8660 1.03002i −1.79126 0.0928740i
\(124\) 2.26419 1.30723i 0.203331 0.117393i
\(125\) 1.00000i 0.0894427i
\(126\) −0.270766 0.606330i −0.0241218 0.0540161i
\(127\) −13.7243 −1.21784 −0.608918 0.793233i \(-0.708396\pi\)
−0.608918 + 0.793233i \(0.708396\pi\)
\(128\) 1.55739 0.899162i 0.137655 0.0794754i
\(129\) −11.7654 7.63121i −1.03588 0.671890i
\(130\) 0.0912125 0.181838i 0.00799986 0.0159482i
\(131\) 4.68504 8.11473i 0.409334 0.708988i −0.585481 0.810686i \(-0.699094\pi\)
0.994815 + 0.101698i \(0.0324277\pi\)
\(132\) −3.51555 6.89014i −0.305989 0.599710i
\(133\) 11.9027 + 20.6161i 1.03210 + 1.78765i
\(134\) 0.703425 0.0607667
\(135\) 3.26328 4.04363i 0.280859 0.348021i
\(136\) 1.26346i 0.108340i
\(137\) −3.22002 + 1.85908i −0.275105 + 0.158832i −0.631205 0.775616i \(-0.717439\pi\)
0.356100 + 0.934448i \(0.384106\pi\)
\(138\) −0.110924 0.217400i −0.00944246 0.0185063i
\(139\) 7.25279 12.5622i 0.615173 1.06551i −0.375181 0.926952i \(-0.622419\pi\)
0.990354 0.138560i \(-0.0442473\pi\)
\(140\) 3.91682 6.78413i 0.331032 0.573364i
\(141\) 1.11563 1.72001i 0.0939526 0.144851i
\(142\) −0.456156 0.790086i −0.0382798 0.0663025i
\(143\) 0.472755 + 8.05000i 0.0395338 + 0.673175i
\(144\) −11.8787 1.23511i −0.989891 0.102925i
\(145\) 4.52707i 0.375952i
\(146\) −0.0734021 0.127136i −0.00607480 0.0105219i
\(147\) −0.752486 + 14.5132i −0.0620640 + 1.19703i
\(148\) −14.7933 8.54092i −1.21600 0.702059i
\(149\) −8.51245 4.91467i −0.697367 0.402625i 0.108999 0.994042i \(-0.465236\pi\)
−0.806366 + 0.591417i \(0.798569\pi\)
\(150\) −0.0975946 0.00506013i −0.00796856 0.000413158i
\(151\) 7.20109 4.15755i 0.586016 0.338336i −0.177505 0.984120i \(-0.556802\pi\)
0.763521 + 0.645783i \(0.223469\pi\)
\(152\) −1.36840 −0.110992
\(153\) 9.86439 13.6091i 0.797489 1.10023i
\(154\) 0.495046i 0.0398919i
\(155\) 0.654658 + 1.13390i 0.0525834 + 0.0910772i
\(156\) 10.8419 + 6.16085i 0.868050 + 0.493263i
\(157\) −5.44180 + 9.42547i −0.434303 + 0.752234i −0.997238 0.0742665i \(-0.976338\pi\)
0.562936 + 0.826501i \(0.309672\pi\)
\(158\) −0.192215 0.110976i −0.0152918 0.00882874i
\(159\) 6.47736 3.30493i 0.513688 0.262098i
\(160\) 0.337813 + 0.585110i 0.0267065 + 0.0462570i
\(161\) 9.79760i 0.772159i
\(162\) −0.378124 0.338940i −0.0297082 0.0266296i
\(163\) 7.14857i 0.559920i 0.960012 + 0.279960i \(0.0903211\pi\)
−0.960012 + 0.279960i \(0.909679\pi\)
\(164\) −19.8610 + 11.4668i −1.55089 + 0.895404i
\(165\) 3.45056 1.76057i 0.268626 0.137061i
\(166\) 0.319692 0.553724i 0.0248129 0.0429773i
\(167\) 14.7716 + 8.52841i 1.14306 + 0.659948i 0.947188 0.320680i \(-0.103911\pi\)
0.195877 + 0.980629i \(0.437245\pi\)
\(168\) −1.28557 0.833842i −0.0991841 0.0643323i
\(169\) −7.77312 10.4201i −0.597932 0.801547i
\(170\) −0.316116 −0.0242450
\(171\) 14.7395 + 10.6837i 1.12715 + 0.817006i
\(172\) −16.1672 −1.23274
\(173\) −7.72383 13.3781i −0.587232 1.01711i −0.994593 0.103848i \(-0.966884\pi\)
0.407362 0.913267i \(-0.366449\pi\)
\(174\) 0.441817 + 0.0229075i 0.0334941 + 0.00173662i
\(175\) 3.39747 + 1.96153i 0.256825 + 0.148278i
\(176\) −7.71054 4.45168i −0.581204 0.335558i
\(177\) −7.62944 0.395575i −0.573464 0.0297332i
\(178\) −0.193072 0.334411i −0.0144714 0.0250652i
\(179\) −8.60028 −0.642815 −0.321407 0.946941i \(-0.604156\pi\)
−0.321407 + 0.946941i \(0.604156\pi\)
\(180\) 0.619526 5.95833i 0.0461768 0.444108i
\(181\) −5.06617 −0.376565 −0.188283 0.982115i \(-0.560292\pi\)
−0.188283 + 0.982115i \(0.560292\pi\)
\(182\) 0.438872 + 0.666572i 0.0325314 + 0.0494096i
\(183\) 3.61134 + 2.34237i 0.266958 + 0.173153i
\(184\) −0.487739 0.281596i −0.0359566 0.0207595i
\(185\) 4.27727 7.40845i 0.314471 0.544680i
\(186\) 0.113975 0.0581534i 0.00835707 0.00426401i
\(187\) 10.8518 6.26527i 0.793560 0.458162i
\(188\) 2.36353i 0.172378i
\(189\) 7.33711 + 19.0186i 0.533696 + 1.38340i
\(190\) 0.342373i 0.0248383i
\(191\) −2.33736 4.04843i −0.169125 0.292934i 0.768987 0.639264i \(-0.220761\pi\)
−0.938113 + 0.346330i \(0.887428\pi\)
\(192\) −12.2249 + 6.23750i −0.882257 + 0.450153i
\(193\) 9.77243 + 5.64211i 0.703435 + 0.406128i 0.808625 0.588324i \(-0.200212\pi\)
−0.105191 + 0.994452i \(0.533545\pi\)
\(194\) −0.255805 + 0.443067i −0.0183657 + 0.0318104i
\(195\) −3.08534 + 5.42961i −0.220946 + 0.388823i
\(196\) 8.37708 + 14.5095i 0.598363 + 1.03640i
\(197\) 16.1866i 1.15325i −0.817009 0.576625i \(-0.804369\pi\)
0.817009 0.576625i \(-0.195631\pi\)
\(198\) −0.154362 0.345665i −0.0109700 0.0245653i
\(199\) 2.33078 0.165224 0.0826121 0.996582i \(-0.473674\pi\)
0.0826121 + 0.996582i \(0.473674\pi\)
\(200\) −0.195296 + 0.112754i −0.0138095 + 0.00797291i
\(201\) −21.5649 1.11811i −1.52107 0.0788653i
\(202\) 0.785817 + 0.453692i 0.0552899 + 0.0319216i
\(203\) −15.3806 8.87998i −1.07951 0.623253i
\(204\) 1.00334 19.3515i 0.0702482 1.35487i
\(205\) −5.74252 9.94634i −0.401075 0.694683i
\(206\) 0.281467i 0.0196107i
\(207\) 3.05503 + 6.84116i 0.212339 + 0.475493i
\(208\) 14.3287 0.841486i 0.993516 0.0583465i
\(209\) 6.78568 + 11.7531i 0.469375 + 0.812981i
\(210\) 0.208627 0.321649i 0.0143966 0.0221959i
\(211\) 11.7297 20.3165i 0.807507 1.39864i −0.107079 0.994251i \(-0.534150\pi\)
0.914586 0.404392i \(-0.132517\pi\)
\(212\) 4.19168 7.26020i 0.287886 0.498633i
\(213\) 12.7285 + 24.9467i 0.872145 + 1.70932i
\(214\) 0.146024 0.0843072i 0.00998201 0.00576312i
\(215\) 8.09650i 0.552176i
\(216\) −1.15765 0.181369i −0.0787683 0.0123406i
\(217\) −5.13653 −0.348691
\(218\) 0.0920667 + 0.159464i 0.00623554 + 0.0108003i
\(219\) 2.04820 + 4.01429i 0.138405 + 0.271261i
\(220\) 2.23296 3.86759i 0.150546 0.260753i
\(221\) −9.05742 + 18.0565i −0.609268 + 1.21461i
\(222\) −0.701380 0.454926i −0.0470736 0.0305326i
\(223\) 21.9530 12.6746i 1.47008 0.848751i 0.470643 0.882324i \(-0.344022\pi\)
0.999436 + 0.0335730i \(0.0106886\pi\)
\(224\) −2.65053 −0.177096
\(225\) 2.98391 + 0.310257i 0.198928 + 0.0206838i
\(226\) 0.802002i 0.0533484i
\(227\) 16.2917 9.40600i 1.08132 0.624298i 0.150065 0.988676i \(-0.452052\pi\)
0.931251 + 0.364378i \(0.118718\pi\)
\(228\) 20.9588 + 1.08668i 1.38803 + 0.0719674i
\(229\) −0.913257 0.527269i −0.0603497 0.0348429i 0.469522 0.882921i \(-0.344426\pi\)
−0.529871 + 0.848078i \(0.677760\pi\)
\(230\) 0.0704551 0.122032i 0.00464567 0.00804654i
\(231\) −0.786885 + 15.1766i −0.0517733 + 0.998549i
\(232\) 0.884116 0.510445i 0.0580451 0.0335123i
\(233\) 0.222496 0.0145762 0.00728811 0.999973i \(-0.497680\pi\)
0.00728811 + 0.999973i \(0.497680\pi\)
\(234\) 0.514288 + 0.328587i 0.0336201 + 0.0214804i
\(235\) 1.18365 0.0772127
\(236\) −7.62752 + 4.40375i −0.496510 + 0.286660i
\(237\) 5.71635 + 3.70771i 0.371317 + 0.240842i
\(238\) 0.620071 1.07399i 0.0401932 0.0696167i
\(239\) −8.37195 4.83355i −0.541537 0.312656i 0.204165 0.978937i \(-0.434552\pi\)
−0.745701 + 0.666280i \(0.767885\pi\)
\(240\) −3.13375 6.14187i −0.202283 0.396456i
\(241\) 19.7643 11.4109i 1.27313 0.735041i 0.297553 0.954705i \(-0.403830\pi\)
0.975575 + 0.219664i \(0.0704963\pi\)
\(242\) 0.338418i 0.0217544i
\(243\) 11.0534 + 10.9919i 0.709076 + 0.705132i
\(244\) 4.96246 0.317689
\(245\) −7.26633 + 4.19522i −0.464229 + 0.268023i
\(246\) −0.999767 + 0.510109i −0.0637428 + 0.0325234i
\(247\) −19.5563 9.80974i −1.24434 0.624179i
\(248\) 0.147631 0.255704i 0.00937456 0.0162372i
\(249\) −10.6810 + 16.4674i −0.676879 + 1.04358i
\(250\) −0.0282110 0.0488628i −0.00178422 0.00309036i
\(251\) −23.5586 −1.48701 −0.743503 0.668732i \(-0.766837\pi\)
−0.743503 + 0.668732i \(0.766837\pi\)
\(252\) 19.0280 + 13.7923i 1.19865 + 0.868832i
\(253\) 5.58556i 0.351161i
\(254\) −0.670609 + 0.387176i −0.0420777 + 0.0242936i
\(255\) 9.69116 + 0.502472i 0.606884 + 0.0314660i
\(256\) −7.87297 + 13.6364i −0.492060 + 0.852274i
\(257\) −4.93068 + 8.54019i −0.307567 + 0.532722i −0.977830 0.209402i \(-0.932848\pi\)
0.670262 + 0.742124i \(0.266182\pi\)
\(258\) −0.790174 0.0409693i −0.0491941 0.00255064i
\(259\) 16.7800 + 29.0638i 1.04266 + 1.80594i
\(260\) 0.422088 + 7.18724i 0.0261768 + 0.445734i
\(261\) −13.5084 1.40455i −0.836147 0.0869397i
\(262\) 0.528678i 0.0326619i
\(263\) 3.99398 + 6.91778i 0.246279 + 0.426568i 0.962491 0.271315i \(-0.0874586\pi\)
−0.716211 + 0.697884i \(0.754125\pi\)
\(264\) −0.732898 0.475368i −0.0451067 0.0292569i
\(265\) 3.63589 + 2.09918i 0.223351 + 0.128952i
\(266\) 1.16320 + 0.671575i 0.0713205 + 0.0411769i
\(267\) 5.38747 + 10.5589i 0.329708 + 0.646196i
\(268\) −21.5595 + 12.4474i −1.31696 + 0.760345i
\(269\) −16.6199 −1.01333 −0.506666 0.862143i \(-0.669122\pi\)
−0.506666 + 0.862143i \(0.669122\pi\)
\(270\) 0.0453784 0.289644i 0.00276164 0.0176272i
\(271\) 6.16970i 0.374783i −0.982285 0.187391i \(-0.939997\pi\)
0.982285 0.187391i \(-0.0600033\pi\)
\(272\) −11.1519 19.3157i −0.676185 1.17119i
\(273\) −12.3950 21.1327i −0.750178 1.27901i
\(274\) −0.104893 + 0.181680i −0.00633681 + 0.0109757i
\(275\) 1.93688 + 1.11826i 0.116798 + 0.0674335i
\(276\) 7.24672 + 4.70033i 0.436202 + 0.282927i
\(277\) −7.88696 13.6606i −0.473881 0.820786i 0.525672 0.850688i \(-0.323814\pi\)
−0.999553 + 0.0299012i \(0.990481\pi\)
\(278\) 0.818432i 0.0490863i
\(279\) −3.58658 + 1.60164i −0.214723 + 0.0958879i
\(280\) 0.884683i 0.0528699i
\(281\) −23.2643 + 13.4317i −1.38783 + 0.801267i −0.993071 0.117516i \(-0.962507\pi\)
−0.394764 + 0.918783i \(0.629174\pi\)
\(282\) 0.00598941 0.115518i 0.000356664 0.00687897i
\(283\) 9.52837 16.5036i 0.566403 0.981039i −0.430515 0.902584i \(-0.641668\pi\)
0.996918 0.0784550i \(-0.0249987\pi\)
\(284\) 27.9618 + 16.1437i 1.65923 + 0.957954i
\(285\) −0.544208 + 10.4961i −0.0322361 + 0.621736i
\(286\) 0.250199 + 0.380009i 0.0147945 + 0.0224704i
\(287\) 45.0566 2.65961
\(288\) −1.85073 + 0.826472i −0.109055 + 0.0487003i
\(289\) 14.3903 0.846490
\(290\) 0.127713 + 0.221205i 0.00749956 + 0.0129896i
\(291\) 8.54648 13.1765i 0.501003 0.772420i
\(292\) 4.49945 + 2.59776i 0.263310 + 0.152022i
\(293\) −15.3363 8.85439i −0.895954 0.517279i −0.0200686 0.999799i \(-0.506388\pi\)
−0.875885 + 0.482519i \(0.839722\pi\)
\(294\) 0.372662 + 0.730383i 0.0217341 + 0.0425968i
\(295\) −2.20539 3.81984i −0.128403 0.222400i
\(296\) −1.92912 −0.112128
\(297\) 4.18284 + 10.8424i 0.242713 + 0.629141i
\(298\) −0.554590 −0.0321265
\(299\) −4.95175 7.52087i −0.286367 0.434943i
\(300\) 3.08075 1.57188i 0.177867 0.0907528i
\(301\) 27.5076 + 15.8815i 1.58551 + 0.915397i
\(302\) 0.234577 0.406299i 0.0134984 0.0233799i
\(303\) −23.3697 15.1579i −1.34255 0.870799i
\(304\) 20.9201 12.0782i 1.19985 0.692734i
\(305\) 2.48519i 0.142301i
\(306\) 0.0980771 0.943262i 0.00560669 0.0539227i
\(307\) 22.5071i 1.28455i −0.766476 0.642274i \(-0.777991\pi\)
0.766476 0.642274i \(-0.222009\pi\)
\(308\) 8.76003 + 15.1728i 0.499149 + 0.864552i
\(309\) 0.447397 8.62892i 0.0254515 0.490882i
\(310\) 0.0639769 + 0.0369371i 0.00363364 + 0.00209789i
\(311\) 2.32016 4.01864i 0.131564 0.227876i −0.792715 0.609592i \(-0.791333\pi\)
0.924280 + 0.381716i \(0.124667\pi\)
\(312\) 1.40826 0.00965781i 0.0797273 0.000546766i
\(313\) −16.2853 28.2070i −0.920500 1.59435i −0.798643 0.601805i \(-0.794449\pi\)
−0.121856 0.992548i \(-0.538885\pi\)
\(314\) 0.614073i 0.0346542i
\(315\) −6.90713 + 9.52919i −0.389173 + 0.536909i
\(316\) 7.85502 0.441880
\(317\) −20.6638 + 11.9302i −1.16059 + 0.670069i −0.951446 0.307815i \(-0.900402\pi\)
−0.209147 + 0.977884i \(0.567069\pi\)
\(318\) 0.223267 0.344221i 0.0125202 0.0193029i
\(319\) −8.76838 5.06243i −0.490935 0.283442i
\(320\) −6.86212 3.96185i −0.383604 0.221474i
\(321\) −4.61068 + 2.35250i −0.257343 + 0.131304i
\(322\) 0.276400 + 0.478739i 0.0154032 + 0.0266791i
\(323\) 33.9977i 1.89168i
\(324\) 17.5869 + 3.69723i 0.977051 + 0.205401i
\(325\) −3.59935 + 0.211380i −0.199656 + 0.0117253i
\(326\) 0.201668 + 0.349299i 0.0111694 + 0.0193459i
\(327\) −2.56902 5.03503i −0.142067 0.278438i
\(328\) −1.29499 + 2.24298i −0.0715036 + 0.123848i
\(329\) −2.32176 + 4.02141i −0.128003 + 0.221708i
\(330\) 0.118937 0.183370i 0.00654725 0.0100942i
\(331\) −23.8032 + 13.7428i −1.30834 + 0.755373i −0.981820 0.189815i \(-0.939211\pi\)
−0.326525 + 0.945189i \(0.605878\pi\)
\(332\) 22.6283i 1.24189i
\(333\) 20.7791 + 15.0615i 1.13869 + 0.825366i
\(334\) 0.962379 0.0526590
\(335\) −6.23362 10.7969i −0.340579 0.589900i
\(336\) 27.0138 + 1.40062i 1.47372 + 0.0764103i
\(337\) −3.21413 + 5.56704i −0.175085 + 0.303256i −0.940191 0.340649i \(-0.889353\pi\)
0.765106 + 0.643905i \(0.222687\pi\)
\(338\) −0.673778 0.289869i −0.0366487 0.0157668i
\(339\) 1.27480 24.5870i 0.0692375 1.33538i
\(340\) 9.68873 5.59379i 0.525445 0.303366i
\(341\) −2.92831 −0.158577
\(342\) 1.02161 + 0.106223i 0.0552424 + 0.00574391i
\(343\) 5.45478i 0.294530i
\(344\) −1.58121 + 0.912913i −0.0852532 + 0.0492210i
\(345\) −2.35391 + 3.62914i −0.126730 + 0.195386i
\(346\) −0.754816 0.435793i −0.0405792 0.0234284i
\(347\) 12.0642 20.8959i 0.647642 1.12175i −0.336043 0.941847i \(-0.609089\pi\)
0.983685 0.179902i \(-0.0575780\pi\)
\(348\) −13.9467 + 7.11602i −0.747624 + 0.381459i
\(349\) −12.2509 + 7.07307i −0.655776 + 0.378613i −0.790666 0.612248i \(-0.790265\pi\)
0.134889 + 0.990861i \(0.456932\pi\)
\(350\) 0.221347 0.0118315
\(351\) −15.2442 10.8910i −0.813678 0.581316i
\(352\) −1.51105 −0.0805392
\(353\) 10.9026 6.29463i 0.580288 0.335029i −0.180960 0.983490i \(-0.557920\pi\)
0.761248 + 0.648461i \(0.224587\pi\)
\(354\) −0.383955 + 0.195905i −0.0204070 + 0.0104122i
\(355\) −8.08474 + 14.0032i −0.429093 + 0.743211i
\(356\) 11.8351 + 6.83298i 0.627257 + 0.362147i
\(357\) −20.7167 + 31.9398i −1.09644 + 1.69044i
\(358\) −0.420234 + 0.242622i −0.0222100 + 0.0128230i
\(359\) 5.96722i 0.314938i −0.987524 0.157469i \(-0.949667\pi\)
0.987524 0.157469i \(-0.0503334\pi\)
\(360\) −0.275856 0.617728i −0.0145389 0.0325571i
\(361\) −17.8216 −0.937977
\(362\) −0.247547 + 0.142921i −0.0130108 + 0.00751178i
\(363\) 0.537923 10.3749i 0.0282336 0.544541i
\(364\) −25.2464 12.6640i −1.32327 0.663773i
\(365\) −1.30095 + 2.25331i −0.0680949 + 0.117944i
\(366\) 0.242541 + 0.0125754i 0.0126778 + 0.000657326i
\(367\) −0.0500029 0.0866076i −0.00261013 0.00452088i 0.864717 0.502259i \(-0.167497\pi\)
−0.867328 + 0.497738i \(0.834164\pi\)
\(368\) 9.94207 0.518266
\(369\) 31.4607 14.0493i 1.63778 0.731376i
\(370\) 0.482663i 0.0250925i
\(371\) −14.2638 + 8.23522i −0.740541 + 0.427551i
\(372\) −2.46422 + 3.79920i −0.127764 + 0.196979i
\(373\) −10.5159 + 18.2141i −0.544492 + 0.943088i 0.454146 + 0.890927i \(0.349944\pi\)
−0.998639 + 0.0521612i \(0.983389\pi\)
\(374\) 0.353499 0.612278i 0.0182790 0.0316601i
\(375\) 0.787195 + 1.54283i 0.0406506 + 0.0796714i
\(376\) −0.133461 0.231161i −0.00688273 0.0119212i
\(377\) 16.2945 0.956932i 0.839209 0.0492845i
\(378\) 0.895046 + 0.722318i 0.0460362 + 0.0371520i
\(379\) 7.61597i 0.391206i −0.980683 0.195603i \(-0.937334\pi\)
0.980683 0.195603i \(-0.0626664\pi\)
\(380\) 6.05842 + 10.4935i 0.310790 + 0.538305i
\(381\) 21.1743 10.8037i 1.08479 0.553491i
\(382\) −0.228420 0.131878i −0.0116870 0.00674749i
\(383\) 7.94552 + 4.58735i 0.405997 + 0.234403i 0.689068 0.724696i \(-0.258020\pi\)
−0.283071 + 0.959099i \(0.591353\pi\)
\(384\) −1.69498 + 2.61323i −0.0864965 + 0.133356i
\(385\) −7.59851 + 4.38700i −0.387256 + 0.223582i
\(386\) 0.636678 0.0324061
\(387\) 24.1592 + 2.51199i 1.22808 + 0.127692i
\(388\) 18.1063i 0.919207i
\(389\) 15.0167 + 26.0097i 0.761377 + 1.31874i 0.942141 + 0.335217i \(0.108810\pi\)
−0.180764 + 0.983527i \(0.557857\pi\)
\(390\) 0.00241638 + 0.352347i 0.000122358 + 0.0178418i
\(391\) −6.99620 + 12.1178i −0.353813 + 0.612822i
\(392\) 1.63862 + 0.946056i 0.0827626 + 0.0477830i
\(393\) −0.840345 + 16.2077i −0.0423898 + 0.817570i
\(394\) −0.456641 0.790925i −0.0230052 0.0398462i
\(395\) 3.93377i 0.197930i
\(396\) 10.8478 + 7.86290i 0.545121 + 0.395125i
\(397\) 13.2652i 0.665763i 0.942969 + 0.332882i \(0.108021\pi\)
−0.942969 + 0.332882i \(0.891979\pi\)
\(398\) 0.113888 0.0657534i 0.00570870 0.00329592i
\(399\) −34.5928 22.4374i −1.73181 1.12328i
\(400\) 1.99045 3.44757i 0.0995227 0.172378i
\(401\) −23.3517 13.4821i −1.16613 0.673265i −0.213364 0.976973i \(-0.568442\pi\)
−0.952765 + 0.303708i \(0.901775\pi\)
\(402\) −1.08527 + 0.553733i −0.0541281 + 0.0276177i
\(403\) 3.94293 2.59603i 0.196411 0.129317i
\(404\) −32.1130 −1.59768
\(405\) −1.85156 + 8.80748i −0.0920048 + 0.437647i
\(406\) −1.00205 −0.0497310
\(407\) 9.56618 + 16.5691i 0.474178 + 0.821300i
\(408\) −0.994587 1.94930i −0.0492394 0.0965046i
\(409\) 22.6012 + 13.0488i 1.11756 + 0.645222i 0.940776 0.339028i \(-0.110098\pi\)
0.176781 + 0.984250i \(0.443432\pi\)
\(410\) −0.561192 0.324004i −0.0277153 0.0160014i
\(411\) 3.50448 5.40303i 0.172863 0.266512i
\(412\) −4.98066 8.62676i −0.245380 0.425010i
\(413\) 17.3038 0.851462
\(414\) 0.342273 + 0.248093i 0.0168218 + 0.0121931i
\(415\) −11.3322 −0.556276
\(416\) 2.03461 1.33959i 0.0997549 0.0656788i
\(417\) −1.30091 + 25.0907i −0.0637061 + 1.22870i
\(418\) 0.663135 + 0.382861i 0.0324350 + 0.0187263i
\(419\) −5.72212 + 9.91100i −0.279544 + 0.484184i −0.971271 0.237975i \(-0.923517\pi\)
0.691728 + 0.722158i \(0.256850\pi\)
\(420\) −0.702551 + 13.5501i −0.0342810 + 0.661175i
\(421\) 8.24733 4.76160i 0.401950 0.232066i −0.285375 0.958416i \(-0.592118\pi\)
0.687325 + 0.726350i \(0.258785\pi\)
\(422\) 1.32363i 0.0644331i
\(423\) −0.367235 + 3.53190i −0.0178556 + 0.171727i
\(424\) 0.946765i 0.0459789i
\(425\) 2.80135 + 4.85209i 0.135886 + 0.235361i
\(426\) 1.32572 + 0.859884i 0.0642315 + 0.0416615i
\(427\) −8.44336 4.87478i −0.408603 0.235907i
\(428\) −2.98370 + 5.16791i −0.144222 + 0.249801i
\(429\) −7.06631 12.0476i −0.341164 0.581665i
\(430\) −0.228410 0.395618i −0.0110149 0.0190784i
\(431\) 23.2510i 1.11996i −0.828506 0.559980i \(-0.810809\pi\)
0.828506 0.559980i \(-0.189191\pi\)
\(432\) 19.2991 7.44529i 0.928527 0.358212i
\(433\) 20.5579 0.987950 0.493975 0.869476i \(-0.335543\pi\)
0.493975 + 0.869476i \(0.335543\pi\)
\(434\) −0.250986 + 0.144907i −0.0120477 + 0.00695574i
\(435\) −3.56368 6.98449i −0.170866 0.334881i
\(436\) −5.64356 3.25831i −0.270278 0.156045i
\(437\) −13.1243 7.57732i −0.627820 0.362472i
\(438\) 0.213328 + 0.138368i 0.0101932 + 0.00661147i
\(439\) 13.9718 + 24.1999i 0.666837 + 1.15500i 0.978784 + 0.204896i \(0.0656858\pi\)
−0.311946 + 0.950100i \(0.600981\pi\)
\(440\) 0.504353i 0.0240441i
\(441\) −10.2637 22.9837i −0.488750 1.09446i
\(442\) 0.0668206 + 1.13781i 0.00317833 + 0.0541201i
\(443\) −6.69562 11.5972i −0.318119 0.550998i 0.661977 0.749524i \(-0.269718\pi\)
−0.980095 + 0.198527i \(0.936384\pi\)
\(444\) 29.5469 + 1.53196i 1.40224 + 0.0727038i
\(445\) −3.42194 + 5.92697i −0.162215 + 0.280965i
\(446\) 0.715123 1.23863i 0.0338620 0.0586508i
\(447\) 17.0021 + 0.881532i 0.804170 + 0.0416950i
\(448\) 26.9206 15.5426i 1.27188 0.734318i
\(449\) 3.18766i 0.150435i −0.997167 0.0752175i \(-0.976035\pi\)
0.997167 0.0752175i \(-0.0239651\pi\)
\(450\) 0.154555 0.0690190i 0.00728580 0.00325359i
\(451\) 25.6865 1.20953
\(452\) −14.1917 24.5808i −0.667523 1.15618i
\(453\) −7.83725 + 12.0830i −0.368226 + 0.567711i
\(454\) 0.530705 0.919207i 0.0249072 0.0431405i
\(455\) 6.34208 12.6433i 0.297321 0.592728i
\(456\) 2.11121 1.07720i 0.0988664 0.0504444i
\(457\) 10.0586 5.80733i 0.470521 0.271656i −0.245937 0.969286i \(-0.579096\pi\)
0.716458 + 0.697630i \(0.245762\pi\)
\(458\) −0.0594991 −0.00278021
\(459\) −4.50608 + 28.7617i −0.210326 + 1.34248i
\(460\) 4.98692i 0.232516i
\(461\) 13.6499 7.88076i 0.635738 0.367043i −0.147233 0.989102i \(-0.547037\pi\)
0.782971 + 0.622058i \(0.213703\pi\)
\(462\) 0.389698 + 0.763772i 0.0181304 + 0.0355339i
\(463\) −23.6139 13.6335i −1.09743 0.633603i −0.161887 0.986809i \(-0.551758\pi\)
−0.935546 + 0.353206i \(0.885091\pi\)
\(464\) −9.01092 + 15.6074i −0.418321 + 0.724554i
\(465\) −1.90263 1.23407i −0.0882323 0.0572288i
\(466\) 0.0108718 0.00627684i 0.000503626 0.000290769i
\(467\) −15.6111 −0.722398 −0.361199 0.932489i \(-0.617632\pi\)
−0.361199 + 0.932489i \(0.617632\pi\)
\(468\) −21.5771 0.970419i −0.997400 0.0448576i
\(469\) 48.9098 2.25844
\(470\) 0.0578364 0.0333918i 0.00266779 0.00154025i
\(471\) 0.976082 18.8256i 0.0449755 0.867440i
\(472\) −0.497333 + 0.861405i −0.0228916 + 0.0396494i
\(473\) 15.6819 + 9.05397i 0.721056 + 0.416302i
\(474\) 0.383915 + 0.0199054i 0.0176338 + 0.000914286i
\(475\) −5.25511 + 3.03404i −0.241121 + 0.139211i
\(476\) 43.8896i 2.01168i
\(477\) −7.39183 + 10.1979i −0.338449 + 0.466929i
\(478\) −0.545436 −0.0249477
\(479\) −24.0241 + 13.8703i −1.09769 + 0.633751i −0.935613 0.353027i \(-0.885152\pi\)
−0.162076 + 0.986778i \(0.551819\pi\)
\(480\) −0.981784 0.636800i −0.0448121 0.0290658i
\(481\) −27.5697 13.8294i −1.25707 0.630566i
\(482\) 0.643825 1.11514i 0.0293254 0.0507931i
\(483\) −7.71263 15.1160i −0.350937 0.687803i
\(484\) −5.98845 10.3723i −0.272202 0.471468i
\(485\) 9.06757 0.411737
\(486\) 0.850193 + 0.225269i 0.0385655 + 0.0102184i
\(487\) 21.3797i 0.968805i 0.874845 + 0.484402i \(0.160963\pi\)
−0.874845 + 0.484402i \(0.839037\pi\)
\(488\) 0.485347 0.280215i 0.0219706 0.0126847i
\(489\) −5.62732 11.0290i −0.254476 0.498750i
\(490\) −0.236702 + 0.409980i −0.0106931 + 0.0185210i
\(491\) 4.72150 8.17788i 0.213078 0.369063i −0.739598 0.673049i \(-0.764984\pi\)
0.952676 + 0.303986i \(0.0983177\pi\)
\(492\) 21.6156 33.3258i 0.974506 1.50244i
\(493\) −12.6819 21.9657i −0.571165 0.989286i
\(494\) −1.23232 + 0.0723708i −0.0554446 + 0.00325612i
\(495\) −3.93772 + 5.43253i −0.176987 + 0.244174i
\(496\) 5.21227i 0.234038i
\(497\) −31.7169 54.9354i −1.42270 2.46419i
\(498\) −0.0573425 + 1.10596i −0.00256958 + 0.0495593i
\(499\) −7.30721 4.21882i −0.327116 0.188860i 0.327444 0.944871i \(-0.393813\pi\)
−0.654560 + 0.756010i \(0.727146\pi\)
\(500\) 1.72929 + 0.998408i 0.0773364 + 0.0446502i
\(501\) −29.5037 1.52972i −1.31813 0.0683429i
\(502\) −1.15114 + 0.664611i −0.0513779 + 0.0296631i
\(503\) 1.89645 0.0845587 0.0422794 0.999106i \(-0.486538\pi\)
0.0422794 + 0.999106i \(0.486538\pi\)
\(504\) 2.63982 + 0.274479i 0.117587 + 0.0122263i
\(505\) 16.0821i 0.715644i
\(506\) 0.157574 + 0.272926i 0.00700501 + 0.0121330i
\(507\) 20.1953 + 9.95749i 0.896903 + 0.442228i
\(508\) 13.7025 23.7334i 0.607949 1.05300i
\(509\) −16.8375 9.72113i −0.746309 0.430882i 0.0780498 0.996949i \(-0.475131\pi\)
−0.824359 + 0.566068i \(0.808464\pi\)
\(510\) 0.487712 0.248845i 0.0215963 0.0110190i
\(511\) −5.10371 8.83989i −0.225775 0.391054i
\(512\) 4.48506i 0.198214i
\(513\) −31.1507 4.88036i −1.37534 0.215473i
\(514\) 0.556397i 0.0245416i
\(515\) 4.32026 2.49430i 0.190373 0.109912i
\(516\) 24.9433 12.7268i 1.09807 0.560264i
\(517\) −1.32362 + 2.29258i −0.0582129 + 0.100828i
\(518\) 1.63984 + 0.946760i 0.0720503 + 0.0415982i
\(519\) 22.4477 + 14.5599i 0.985344 + 0.639109i
\(520\) 0.447123 + 0.679104i 0.0196076 + 0.0297807i
\(521\) −27.8647 −1.22078 −0.610388 0.792102i \(-0.708987\pi\)
−0.610388 + 0.792102i \(0.708987\pi\)
\(522\) −0.699681 + 0.312454i −0.0306242 + 0.0136757i
\(523\) 3.41624 0.149382 0.0746908 0.997207i \(-0.476203\pi\)
0.0746908 + 0.997207i \(0.476203\pi\)
\(524\) 9.35517 + 16.2036i 0.408683 + 0.707859i
\(525\) −6.78583 0.351835i −0.296158 0.0153554i
\(526\) 0.390314 + 0.225348i 0.0170185 + 0.00982564i
\(527\) −6.35292 3.66786i −0.276737 0.159774i
\(528\) 15.4004 + 0.798488i 0.670216 + 0.0347497i
\(529\) 8.38141 + 14.5170i 0.364409 + 0.631175i
\(530\) 0.236880 0.0102894
\(531\) 12.0823 5.39555i 0.524328 0.234147i
\(532\) −47.5351 −2.06091
\(533\) −34.5865 + 22.7718i −1.49811 + 0.986356i
\(534\) 0.561124 + 0.363954i 0.0242822 + 0.0157498i
\(535\) −2.58808 1.49423i −0.111892 0.0646011i
\(536\) −1.40573 + 2.43480i −0.0607183 + 0.105167i
\(537\) 13.2688 6.77010i 0.572589 0.292151i
\(538\) −0.812094 + 0.468862i −0.0350118 + 0.0202141i
\(539\) 18.7654i 0.808281i
\(540\) 3.73454 + 9.68037i 0.160709 + 0.416577i
\(541\) 43.6073i 1.87483i −0.348220 0.937413i \(-0.613214\pi\)
0.348220 0.937413i \(-0.386786\pi\)
\(542\) −0.174053 0.301469i −0.00747623 0.0129492i
\(543\) 7.81623 3.98806i 0.335427 0.171144i
\(544\) −3.27820 1.89267i −0.140552 0.0811475i
\(545\) 1.63175 2.82628i 0.0698966 0.121065i
\(546\) −1.20183 0.682930i −0.0514335 0.0292267i
\(547\) −5.17395 8.96155i −0.221222 0.383168i 0.733957 0.679196i \(-0.237671\pi\)
−0.955179 + 0.296028i \(0.904338\pi\)
\(548\) 7.42448i 0.317158i
\(549\) −7.41559 0.771047i −0.316490 0.0329075i
\(550\) 0.126189 0.00538070
\(551\) 23.7902 13.7353i 1.01350 0.585143i
\(552\) 0.974169 + 0.0505092i 0.0414634 + 0.00214981i
\(553\) −13.3649 7.71622i −0.568333 0.328127i
\(554\) −0.770758 0.444997i −0.0327464 0.0189061i
\(555\) −0.767203 + 14.7970i −0.0325660 + 0.628098i
\(556\) 14.4825 + 25.0844i 0.614194 + 1.06382i
\(557\) 0.570061i 0.0241543i −0.999927 0.0120771i \(-0.996156\pi\)
0.999927 0.0120771i \(-0.00384436\pi\)
\(558\) −0.130066 + 0.179442i −0.00550615 + 0.00759637i
\(559\) −29.1421 + 1.71144i −1.23258 + 0.0723862i
\(560\) 7.80868 + 13.5250i 0.329977 + 0.571537i
\(561\) −11.8104 + 18.2087i −0.498637 + 0.768772i
\(562\) −0.757841 + 1.31262i −0.0319676 + 0.0553695i
\(563\) −13.1256 + 22.7342i −0.553178 + 0.958132i 0.444865 + 0.895598i \(0.353252\pi\)
−0.998043 + 0.0625346i \(0.980082\pi\)
\(564\) 1.86056 + 3.64652i 0.0783436 + 0.153546i
\(565\) 12.3100 7.10718i 0.517886 0.299001i
\(566\) 1.07522i 0.0451948i
\(567\) −26.2913 23.5668i −1.10413 0.989712i
\(568\) 3.64635 0.152997
\(569\) 13.6173 + 23.5858i 0.570865 + 0.988768i 0.996477 + 0.0838621i \(0.0267255\pi\)
−0.425612 + 0.904906i \(0.639941\pi\)
\(570\) 0.269514 + 0.528223i 0.0112887 + 0.0221248i
\(571\) 16.6581 28.8527i 0.697120 1.20745i −0.272340 0.962201i \(-0.587798\pi\)
0.969461 0.245247i \(-0.0788691\pi\)
\(572\) −14.3928 7.21966i −0.601794 0.301869i
\(573\) 6.79305 + 4.40608i 0.283784 + 0.184066i
\(574\) 2.20159 1.27109i 0.0918927 0.0530543i
\(575\) −2.49744 −0.104150
\(576\) 13.9508 19.2468i 0.581285 0.801950i
\(577\) 27.6637i 1.15166i −0.817571 0.575828i \(-0.804680\pi\)
0.817571 0.575828i \(-0.195320\pi\)
\(578\) 0.703152 0.405965i 0.0292473 0.0168859i
\(579\) −19.5186 1.01201i −0.811167 0.0420578i
\(580\) −7.82863 4.51986i −0.325066 0.187677i
\(581\) 22.2285 38.5009i 0.922193 1.59729i
\(582\) 0.0458831 0.884945i 0.00190192 0.0366822i
\(583\) −8.13172 + 4.69485i −0.336782 + 0.194441i
\(584\) 0.586750 0.0242799
\(585\) 0.485983 10.8057i 0.0200929 0.446762i
\(586\) −0.999164 −0.0412751
\(587\) 8.09027 4.67092i 0.333921 0.192789i −0.323660 0.946174i \(-0.604913\pi\)
0.657581 + 0.753384i \(0.271580\pi\)
\(588\) −24.3462 15.7913i −1.00402 0.651224i
\(589\) 3.97252 6.88060i 0.163685 0.283510i
\(590\) −0.215523 0.124432i −0.00887293 0.00512279i
\(591\) 12.7421 + 24.9732i 0.524138 + 1.02726i
\(592\) 29.4924 17.0274i 1.21213 0.699823i
\(593\) 45.4348i 1.86578i −0.360156 0.932892i \(-0.617276\pi\)
0.360156 0.932892i \(-0.382724\pi\)
\(594\) 0.510260 + 0.411789i 0.0209362 + 0.0168959i
\(595\) −21.9798 −0.901083
\(596\) 16.9978 9.81369i 0.696257 0.401984i
\(597\) −3.59599 + 1.83478i −0.147174 + 0.0750924i
\(598\) −0.454128 0.227797i −0.0185707 0.00931533i
\(599\) −19.5627 + 33.8837i −0.799312 + 1.38445i 0.120752 + 0.992683i \(0.461469\pi\)
−0.920065 + 0.391767i \(0.871864\pi\)
\(600\) 0.212549 0.327696i 0.00867726 0.0133781i
\(601\) −0.777604 1.34685i −0.0317191 0.0549392i 0.849730 0.527218i \(-0.176765\pi\)
−0.881449 + 0.472279i \(0.843432\pi\)
\(602\) 1.79213 0.0730419
\(603\) 34.1512 15.2507i 1.39074 0.621058i
\(604\) 16.6037i 0.675596i
\(605\) 5.19442 2.99900i 0.211183 0.121927i
\(606\) −1.56953 0.0813776i −0.0637576 0.00330574i
\(607\) 0.812671 1.40759i 0.0329853 0.0571322i −0.849062 0.528294i \(-0.822832\pi\)
0.882047 + 0.471162i \(0.156165\pi\)
\(608\) 2.04988 3.55049i 0.0831335 0.143991i
\(609\) 30.7199 + 1.59278i 1.24483 + 0.0645428i
\(610\) 0.0701095 + 0.121433i 0.00283865 + 0.00491669i
\(611\) −0.250200 4.26036i −0.0101220 0.172356i
\(612\) 13.6854 + 30.6458i 0.553199 + 1.23878i
\(613\) 20.7073i 0.836361i 0.908364 + 0.418181i \(0.137332\pi\)
−0.908364 + 0.418181i \(0.862668\pi\)
\(614\) −0.634946 1.09976i −0.0256244 0.0443827i
\(615\) 16.6894 + 10.8250i 0.672983 + 0.436507i
\(616\) 1.71352 + 0.989304i 0.0690399 + 0.0398602i
\(617\) −40.6045 23.4430i −1.63468 0.943781i −0.982624 0.185608i \(-0.940574\pi\)
−0.652054 0.758173i \(-0.726092\pi\)
\(618\) −0.221569 0.434255i −0.00891282 0.0174683i
\(619\) −2.68056 + 1.54762i −0.107741 + 0.0622041i −0.552902 0.833246i \(-0.686480\pi\)
0.445161 + 0.895450i \(0.353146\pi\)
\(620\) −2.61447 −0.104999
\(621\) −10.0987 8.14984i −0.405248 0.327042i
\(622\) 0.261816i 0.0104979i
\(623\) −13.4245 23.2519i −0.537840 0.931567i
\(624\) −21.4443 + 12.5777i −0.858459 + 0.503513i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −1.59149 0.918848i −0.0636088 0.0367246i
\(627\) −19.7212 12.7914i −0.787587 0.510841i
\(628\) −10.8663 18.8209i −0.433611 0.751037i
\(629\) 47.9286i 1.91104i
\(630\) −0.0686744 + 0.660480i −0.00273605 + 0.0263142i
\(631\) 10.3920i 0.413697i 0.978373 + 0.206849i \(0.0663208\pi\)
−0.978373 + 0.206849i \(0.933679\pi\)
\(632\) 0.768249 0.443549i 0.0305593 0.0176434i
\(633\) −2.10393 + 40.5784i −0.0836237 + 1.61285i
\(634\) −0.673127 + 1.16589i −0.0267333 + 0.0463034i
\(635\) 11.8856 + 6.86216i 0.471666 + 0.272316i
\(636\) −0.751851 + 14.5009i −0.0298128 + 0.574999i
\(637\) 16.6360 + 25.2673i 0.659143 + 1.00113i
\(638\) −0.571264 −0.0226165
\(639\) −39.2759 28.4687i −1.55373 1.12621i
\(640\) −1.79832 −0.0710850
\(641\) −4.03035 6.98077i −0.159189 0.275724i 0.775387 0.631486i \(-0.217555\pi\)
−0.934577 + 0.355762i \(0.884221\pi\)
\(642\) −0.158924 + 0.245021i −0.00627225 + 0.00967022i
\(643\) 29.5621 + 17.0677i 1.16581 + 0.673083i 0.952690 0.303942i \(-0.0983031\pi\)
0.213123 + 0.977025i \(0.431636\pi\)
\(644\) −16.9429 9.78201i −0.667645 0.385465i
\(645\) 6.37352 + 12.4915i 0.250957 + 0.491853i
\(646\) 0.959107 + 1.66122i 0.0377356 + 0.0653599i
\(647\) 13.8990 0.546425 0.273212 0.961954i \(-0.411914\pi\)
0.273212 + 0.961954i \(0.411914\pi\)
\(648\) 1.92883 0.631477i 0.0757718 0.0248068i
\(649\) 9.86477 0.387226
\(650\) −0.169911 + 0.111870i −0.00666446 + 0.00438789i
\(651\) 7.92480 4.04346i 0.310597 0.158476i
\(652\) −12.3620 7.13720i −0.484133 0.279514i
\(653\) 4.32310 7.48783i 0.169176 0.293021i −0.768954 0.639304i \(-0.779223\pi\)
0.938130 + 0.346282i \(0.112556\pi\)
\(654\) −0.267573 0.173552i −0.0104629 0.00678640i
\(655\) −8.11473 + 4.68504i −0.317069 + 0.183060i
\(656\) 45.7209i 1.78510i
\(657\) −6.32006 4.58103i −0.246569 0.178723i
\(658\) 0.261997i 0.0102137i
\(659\) −11.1764 19.3582i −0.435372 0.754087i 0.561954 0.827169i \(-0.310050\pi\)
−0.997326 + 0.0730819i \(0.976717\pi\)
\(660\) −0.400520 + 7.72481i −0.0155902 + 0.300688i
\(661\) −16.8969 9.75541i −0.657212 0.379441i 0.134002 0.990981i \(-0.457217\pi\)
−0.791214 + 0.611540i \(0.790551\pi\)
\(662\) −0.775396 + 1.34303i −0.0301366 + 0.0521982i
\(663\) −0.239947 34.9881i −0.00931875 1.35882i
\(664\) 1.27775 + 2.21313i 0.0495864 + 0.0858862i
\(665\) 23.8055i 0.923136i
\(666\) 1.44023 + 0.149750i 0.0558076 + 0.00580268i
\(667\) 11.3061 0.437772
\(668\) −29.4963 + 17.0297i −1.14124 + 0.658898i
\(669\) −23.8923 + 36.8359i −0.923731 + 1.42416i
\(670\) −0.609184 0.351713i −0.0235348 0.0135878i
\(671\) −4.81351 2.77908i −0.185824 0.107285i
\(672\) 4.08931 2.08648i 0.157749 0.0804878i
\(673\) 22.7468 + 39.3987i 0.876826 + 1.51871i 0.854804 + 0.518950i \(0.173677\pi\)
0.0220221 + 0.999757i \(0.492990\pi\)
\(674\) 0.362695i 0.0139705i
\(675\) −4.84790 + 1.87025i −0.186596 + 0.0719859i
\(676\) 25.7802 3.03848i 0.991545 0.116865i
\(677\) 2.61677 + 4.53238i 0.100571 + 0.174193i 0.911920 0.410368i \(-0.134600\pi\)
−0.811349 + 0.584562i \(0.801267\pi\)
\(678\) −0.631332 1.23735i −0.0242462 0.0475202i
\(679\) −17.7863 + 30.8068i −0.682577 + 1.18226i
\(680\) 0.631728 1.09418i 0.0242257 0.0419601i
\(681\) −17.7309 + 27.3366i −0.679450 + 1.04754i
\(682\) −0.143085 + 0.0826104i −0.00547902 + 0.00316332i
\(683\) 38.3817i 1.46863i −0.678807 0.734317i \(-0.737503\pi\)
0.678807 0.734317i \(-0.262497\pi\)
\(684\) −33.1913 + 14.8221i −1.26910 + 0.566738i
\(685\) 3.71816 0.142064
\(686\) −0.153885 0.266536i −0.00587534 0.0101764i
\(687\) 1.82406 + 0.0945750i 0.0695924 + 0.00360826i
\(688\) 16.1157 27.9132i 0.614406 1.06418i
\(689\) 6.78713 13.5306i 0.258569 0.515473i
\(690\) −0.0126374 + 0.243736i −0.000481096 + 0.00927888i
\(691\) −2.30815 + 1.33261i −0.0878063 + 0.0506950i −0.543260 0.839564i \(-0.682810\pi\)
0.455454 + 0.890259i \(0.349477\pi\)
\(692\) 30.8461 1.17259
\(693\) −10.7329 24.0344i −0.407711 0.912991i
\(694\) 1.36137i 0.0516771i
\(695\) −12.5622 + 7.25279i −0.476511 + 0.275114i
\(696\) −0.962221 + 1.48350i −0.0364729 + 0.0562320i
\(697\) 55.7264 + 32.1737i 2.11079 + 1.21866i
\(698\) −0.399076 + 0.691220i −0.0151053 + 0.0261631i
\(699\) −0.343274 + 0.175148i −0.0129838 + 0.00662471i
\(700\) −6.78413 + 3.91682i −0.256416 + 0.148042i
\(701\) −17.4343 −0.658483 −0.329241 0.944246i \(-0.606793\pi\)
−0.329241 + 0.944246i \(0.606793\pi\)
\(702\) −1.05212 0.102108i −0.0397098 0.00385381i
\(703\) −51.9096 −1.95781
\(704\) 15.3473 8.86074i 0.578421 0.333952i
\(705\) −1.82617 + 0.931762i −0.0687774 + 0.0350922i
\(706\) 0.355155 0.615147i 0.0133664 0.0231514i
\(707\) 54.6385 + 31.5456i 2.05489 + 1.18639i
\(708\) 8.30136 12.7986i 0.311984 0.481001i
\(709\) 24.1729 13.9562i 0.907832 0.524137i 0.0280989 0.999605i \(-0.491055\pi\)
0.879733 + 0.475468i \(0.157721\pi\)
\(710\) 0.912313i 0.0342385i
\(711\) −11.7380 1.22048i −0.440211 0.0457716i
\(712\) 1.54335 0.0578395
\(713\) 2.83185 1.63497i 0.106053 0.0612300i
\(714\) −0.111221 + 2.14511i −0.00416233 + 0.0802786i
\(715\) 3.61558 7.20789i 0.135215 0.269560i
\(716\) 8.58659 14.8724i 0.320896 0.555808i
\(717\) 16.7214 + 0.866982i 0.624474 + 0.0323780i
\(718\) −0.168341 0.291575i −0.00628243 0.0108815i
\(719\) 20.1921 0.753040 0.376520 0.926408i \(-0.377121\pi\)
0.376520 + 0.926408i \(0.377121\pi\)
\(720\) 9.66970 + 7.00898i 0.360368 + 0.261209i
\(721\) 19.5706i 0.728848i
\(722\) −0.870812 + 0.502763i −0.0324083 + 0.0187109i
\(723\) −21.5103 + 33.1634i −0.799976 + 1.23336i
\(724\) 5.05810 8.76089i 0.187983 0.325596i
\(725\) 2.26353 3.92055i 0.0840655 0.145606i
\(726\) −0.266401 0.522122i −0.00988708 0.0193778i
\(727\) −7.62646 13.2094i −0.282850 0.489910i 0.689236 0.724537i \(-0.257946\pi\)
−0.972085 + 0.234627i \(0.924613\pi\)
\(728\) −3.18428 + 0.187004i −0.118017 + 0.00693085i
\(729\) −25.7063 8.25748i −0.952085 0.305833i
\(730\) 0.146804i 0.00543347i
\(731\) 22.6812 + 39.2849i 0.838893 + 1.45300i
\(732\) −7.65624 + 3.90643i −0.282983 + 0.144386i
\(733\) 16.9197 + 9.76859i 0.624943 + 0.360811i 0.778791 0.627284i \(-0.215833\pi\)
−0.153848 + 0.988095i \(0.549167\pi\)
\(734\) −0.00488657 0.00282126i −0.000180367 0.000104135i
\(735\) 7.90826 12.1925i 0.291700 0.449728i
\(736\) 1.46127 0.843667i 0.0538633 0.0310980i
\(737\) 27.8832 1.02709
\(738\) 1.14091 1.57402i 0.0419976 0.0579406i
\(739\) 5.76873i 0.212206i −0.994355 0.106103i \(-0.966163\pi\)
0.994355 0.106103i \(-0.0338374\pi\)
\(740\) 8.54092 + 14.7933i 0.313970 + 0.543813i
\(741\) 37.8942 0.259877i 1.39208 0.00954682i
\(742\) −0.464647 + 0.804792i −0.0170577 + 0.0295449i
\(743\) −1.12991 0.652354i −0.0414524 0.0239325i 0.479131 0.877744i \(-0.340952\pi\)
−0.520583 + 0.853811i \(0.674285\pi\)
\(744\) −0.0264802 + 0.510722i −0.000970810 + 0.0187240i
\(745\) 4.91467 + 8.51245i 0.180060 + 0.311872i
\(746\) 1.18665i 0.0434465i
\(747\) 3.51590 33.8143i 0.128640 1.23720i
\(748\) 25.0212i 0.914866i
\(749\) 10.1532 5.86195i 0.370990 0.214191i
\(750\) 0.0819893 + 0.0531795i 0.00299383 + 0.00194184i
\(751\) −4.78180 + 8.28232i −0.174490 + 0.302226i −0.939985 0.341216i \(-0.889161\pi\)
0.765494 + 0.643443i \(0.222494\pi\)
\(752\) 4.08071 + 2.35600i 0.148808 + 0.0859144i
\(753\) 36.3469 18.5452i 1.32456 0.675826i
\(754\) 0.769199 0.506442i 0.0280126 0.0184435i
\(755\) −8.31510 −0.302617
\(756\) −40.2142 6.30035i −1.46258 0.229142i
\(757\) −26.1510 −0.950474 −0.475237 0.879858i \(-0.657638\pi\)
−0.475237 + 0.879858i \(0.657638\pi\)
\(758\) −0.214854 0.372138i −0.00780384 0.0135166i
\(759\) −4.39692 8.61756i −0.159598 0.312798i
\(760\) 1.18507 + 0.684200i 0.0429870 + 0.0248186i
\(761\) 38.3831 + 22.1605i 1.39139 + 0.803317i 0.993469 0.114104i \(-0.0363996\pi\)
0.397918 + 0.917421i \(0.369733\pi\)
\(762\) 0.729852 1.12525i 0.0264397 0.0407634i
\(763\) 6.40147 + 11.0877i 0.231749 + 0.401401i
\(764\) 9.33456 0.337713
\(765\) −15.3473 + 6.85360i −0.554885 + 0.247793i
\(766\) 0.517654 0.0187036
\(767\) −13.2828 + 8.74540i −0.479613 + 0.315778i
\(768\) 1.41215 27.2362i 0.0509567 0.982801i
\(769\) 35.8501 + 20.6981i 1.29279 + 0.746391i 0.979147 0.203151i \(-0.0651182\pi\)
0.313640 + 0.949542i \(0.398452\pi\)
\(770\) −0.247523 + 0.428722i −0.00892011 + 0.0154501i
\(771\) 0.884404 17.0575i 0.0318510 0.614310i
\(772\) −19.5137 + 11.2663i −0.702315 + 0.405482i
\(773\) 12.9069i 0.464231i 0.972688 + 0.232115i \(0.0745647\pi\)
−0.972688 + 0.232115i \(0.925435\pi\)