Properties

Label 483.2.bf.a.388.15
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.15
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.423819 + 0.333295i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.402981 + 1.66111i) q^{4} +(2.64705 + 0.510177i) q^{5} +(-0.151903 + 0.517333i) q^{6} +(2.13968 + 1.55621i) q^{7} +(-0.830810 - 1.81922i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-0.423819 + 0.333295i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.402981 + 1.66111i) q^{4} +(2.64705 + 0.510177i) q^{5} +(-0.151903 + 0.517333i) q^{6} +(2.13968 + 1.55621i) q^{7} +(-0.830810 - 1.81922i) q^{8} +(0.327068 - 0.945001i) q^{9} +(-1.29191 + 0.666026i) q^{10} +(3.14186 - 3.99521i) q^{11} +(0.635280 + 1.58685i) q^{12} +(-0.763946 + 1.18872i) q^{13} +(-1.42551 + 0.0535915i) q^{14} +(2.45216 - 1.11986i) q^{15} +(-2.08011 - 1.07237i) q^{16} +(-2.02290 + 1.92883i) q^{17} +(0.176346 + 0.509519i) q^{18} +(-1.09217 - 1.04138i) q^{19} +(-1.91417 + 4.19145i) q^{20} +(2.64562 + 0.0265180i) q^{21} +2.74041i q^{22} +(-0.824588 + 4.72441i) q^{23} +(-1.73201 - 0.999976i) q^{24} +(2.10476 + 0.842619i) q^{25} +(-0.0724206 - 0.758423i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-3.44728 + 2.92711i) q^{28} +(2.58978 + 0.760429i) q^{29} +(-0.666026 + 1.29191i) q^{30} +(0.211355 - 2.21341i) q^{31} +(5.16662 - 0.995785i) q^{32} +(0.241841 - 5.07686i) q^{33} +(0.214473 - 1.49169i) q^{34} +(4.86989 + 5.21098i) q^{35} +(1.43795 + 0.924113i) q^{36} +(-4.81860 - 1.66773i) q^{37} +(0.809966 + 0.0773424i) q^{38} +(0.0672351 + 1.41144i) q^{39} +(-1.27107 - 5.23943i) q^{40} +(2.53334 + 2.19515i) q^{41} +(-1.13010 + 0.870532i) q^{42} +(-0.960109 - 0.438467i) q^{43} +(5.37036 + 6.82897i) q^{44} +(1.34788 - 2.33460i) q^{45} +(-1.22515 - 2.27713i) q^{46} +(4.74062 - 2.73700i) q^{47} +(-2.31644 + 0.333054i) q^{48} +(2.15642 + 6.65957i) q^{49} +(-1.17288 + 0.344388i) q^{50} +(-0.528973 + 2.74457i) q^{51} +(-1.66674 - 1.74803i) q^{52} +(-3.13561 + 0.149368i) q^{53} +(0.439198 + 0.312751i) q^{54} +(10.3549 - 8.97261i) q^{55} +(1.05342 - 5.18545i) q^{56} +(-1.49371 - 0.214763i) q^{57} +(-1.35105 + 0.540877i) q^{58} +(-0.420378 - 0.815420i) q^{59} +(0.872042 + 4.52458i) q^{60} +(1.51571 - 2.12852i) q^{61} +(0.648141 + 1.00853i) q^{62} +(2.17044 - 1.51301i) q^{63} +(1.20727 - 1.39327i) q^{64} +(-2.62866 + 2.75686i) q^{65} +(1.58959 + 2.23227i) q^{66} +(-5.20298 + 12.9964i) q^{67} +(-2.38881 - 4.13753i) q^{68} +(2.06874 + 4.32670i) q^{69} +(-3.80074 - 0.585404i) q^{70} +(-1.34170 - 9.33173i) q^{71} +(-1.99090 + 0.190107i) q^{72} +(-12.1488 - 2.94728i) q^{73} +(2.59806 - 0.899198i) q^{74} +(2.20326 - 0.534504i) q^{75} +(2.16996 - 1.39455i) q^{76} +(12.9399 - 3.65904i) q^{77} +(-0.498920 - 0.575785i) q^{78} +(-13.4418 - 0.640311i) q^{79} +(-4.95906 - 3.89985i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(-1.80531 - 0.0859975i) q^{82} +(4.65175 + 5.36840i) q^{83} +(-1.11018 + 4.38398i) q^{84} +(-6.33875 + 4.07367i) q^{85} +(0.553051 - 0.134169i) q^{86} +(2.55067 - 0.882794i) q^{87} +(-9.87845 - 2.39649i) q^{88} +(-13.8590 + 1.32338i) q^{89} +(0.206853 + 1.43869i) q^{90} +(-3.48450 + 1.35462i) q^{91} +(-7.51547 - 3.27358i) q^{92} +(-1.11174 - 1.92559i) q^{93} +(-1.09694 + 2.74002i) q^{94} +(-2.35973 - 3.31378i) q^{95} +(3.63100 - 3.80808i) q^{96} +(11.5519 - 13.3316i) q^{97} +(-3.13353 - 2.10373i) q^{98} +(-2.74787 - 4.27577i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.423819 + 0.333295i −0.299685 + 0.235675i −0.756666 0.653801i \(-0.773173\pi\)
0.456981 + 0.889476i \(0.348931\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) −0.402981 + 1.66111i −0.201490 + 0.830555i
\(5\) 2.64705 + 0.510177i 1.18380 + 0.228158i 0.742902 0.669400i \(-0.233449\pi\)
0.440895 + 0.897558i \(0.354661\pi\)
\(6\) −0.151903 + 0.517333i −0.0620140 + 0.211200i
\(7\) 2.13968 + 1.55621i 0.808721 + 0.588192i
\(8\) −0.830810 1.81922i −0.293736 0.643191i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) −1.29191 + 0.666026i −0.408538 + 0.210616i
\(11\) 3.14186 3.99521i 0.947308 1.20460i −0.0314346 0.999506i \(-0.510008\pi\)
0.978742 0.205094i \(-0.0657500\pi\)
\(12\) 0.635280 + 1.58685i 0.183389 + 0.458085i
\(13\) −0.763946 + 1.18872i −0.211881 + 0.329693i −0.930885 0.365313i \(-0.880962\pi\)
0.719004 + 0.695006i \(0.244598\pi\)
\(14\) −1.42551 + 0.0535915i −0.380984 + 0.0143229i
\(15\) 2.45216 1.11986i 0.633144 0.289147i
\(16\) −2.08011 1.07237i −0.520027 0.268093i
\(17\) −2.02290 + 1.92883i −0.490624 + 0.467809i −0.894541 0.446987i \(-0.852497\pi\)
0.403916 + 0.914796i \(0.367649\pi\)
\(18\) 0.176346 + 0.509519i 0.0415652 + 0.120095i
\(19\) −1.09217 1.04138i −0.250560 0.238908i 0.554382 0.832263i \(-0.312955\pi\)
−0.804941 + 0.593354i \(0.797803\pi\)
\(20\) −1.91417 + 4.19145i −0.428022 + 0.937237i
\(21\) 2.64562 + 0.0265180i 0.577321 + 0.00578669i
\(22\) 2.74041i 0.584257i
\(23\) −0.824588 + 4.72441i −0.171939 + 0.985108i
\(24\) −1.73201 0.999976i −0.353545 0.204119i
\(25\) 2.10476 + 0.842619i 0.420952 + 0.168524i
\(26\) −0.0724206 0.758423i −0.0142028 0.148739i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −3.44728 + 2.92711i −0.651475 + 0.553172i
\(29\) 2.58978 + 0.760429i 0.480911 + 0.141208i 0.513197 0.858271i \(-0.328461\pi\)
−0.0322869 + 0.999479i \(0.510279\pi\)
\(30\) −0.666026 + 1.29191i −0.121599 + 0.235869i
\(31\) 0.211355 2.21341i 0.0379604 0.397540i −0.956445 0.291912i \(-0.905709\pi\)
0.994406 0.105628i \(-0.0336853\pi\)
\(32\) 5.16662 0.995785i 0.913339 0.176032i
\(33\) 0.241841 5.07686i 0.0420990 0.883768i
\(34\) 0.214473 1.49169i 0.0367818 0.255823i
\(35\) 4.86989 + 5.21098i 0.823161 + 0.880817i
\(36\) 1.43795 + 0.924113i 0.239658 + 0.154019i
\(37\) −4.81860 1.66773i −0.792173 0.274174i −0.0991344 0.995074i \(-0.531607\pi\)
−0.693039 + 0.720900i \(0.743729\pi\)
\(38\) 0.809966 + 0.0773424i 0.131394 + 0.0125466i
\(39\) 0.0672351 + 1.41144i 0.0107662 + 0.226011i
\(40\) −1.27107 5.23943i −0.200974 0.828426i
\(41\) 2.53334 + 2.19515i 0.395641 + 0.342825i 0.829849 0.557988i \(-0.188426\pi\)
−0.434208 + 0.900813i \(0.642972\pi\)
\(42\) −1.13010 + 0.870532i −0.174378 + 0.134326i
\(43\) −0.960109 0.438467i −0.146415 0.0668656i 0.340860 0.940114i \(-0.389282\pi\)
−0.487275 + 0.873249i \(0.662009\pi\)
\(44\) 5.37036 + 6.82897i 0.809613 + 1.02951i
\(45\) 1.34788 2.33460i 0.200931 0.348022i
\(46\) −1.22515 2.27713i −0.180638 0.335744i
\(47\) 4.74062 2.73700i 0.691491 0.399232i −0.112680 0.993631i \(-0.535943\pi\)
0.804170 + 0.594399i \(0.202610\pi\)
\(48\) −2.31644 + 0.333054i −0.334350 + 0.0480722i
\(49\) 2.15642 + 6.65957i 0.308060 + 0.951367i
\(50\) −1.17288 + 0.344388i −0.165870 + 0.0487038i
\(51\) −0.528973 + 2.74457i −0.0740710 + 0.384317i
\(52\) −1.66674 1.74803i −0.231136 0.242408i
\(53\) −3.13561 + 0.149368i −0.430709 + 0.0205172i −0.261817 0.965117i \(-0.584322\pi\)
−0.168892 + 0.985635i \(0.554019\pi\)
\(54\) 0.439198 + 0.312751i 0.0597672 + 0.0425600i
\(55\) 10.3549 8.97261i 1.39626 1.20987i
\(56\) 1.05342 5.18545i 0.140770 0.692935i
\(57\) −1.49371 0.214763i −0.197847 0.0284461i
\(58\) −1.35105 + 0.540877i −0.177401 + 0.0710206i
\(59\) −0.420378 0.815420i −0.0547286 0.106159i 0.859885 0.510488i \(-0.170535\pi\)
−0.914613 + 0.404329i \(0.867505\pi\)
\(60\) 0.872042 + 4.52458i 0.112580 + 0.584121i
\(61\) 1.51571 2.12852i 0.194067 0.272530i −0.706064 0.708148i \(-0.749531\pi\)
0.900131 + 0.435619i \(0.143470\pi\)
\(62\) 0.648141 + 1.00853i 0.0823140 + 0.128083i
\(63\) 2.17044 1.51301i 0.273450 0.190621i
\(64\) 1.20727 1.39327i 0.150909 0.174158i
\(65\) −2.62866 + 2.75686i −0.326046 + 0.341947i
\(66\) 1.58959 + 2.23227i 0.195665 + 0.274774i
\(67\) −5.20298 + 12.9964i −0.635646 + 1.58777i 0.163443 + 0.986553i \(0.447740\pi\)
−0.799089 + 0.601213i \(0.794684\pi\)
\(68\) −2.38881 4.13753i −0.289685 0.501749i
\(69\) 2.06874 + 4.32670i 0.249047 + 0.520873i
\(70\) −3.80074 0.585404i −0.454276 0.0699692i
\(71\) −1.34170 9.33173i −0.159231 1.10747i −0.900056 0.435775i \(-0.856474\pi\)
0.740825 0.671698i \(-0.234435\pi\)
\(72\) −1.99090 + 0.190107i −0.234629 + 0.0224044i
\(73\) −12.1488 2.94728i −1.42192 0.344953i −0.550228 0.835015i \(-0.685459\pi\)
−0.871688 + 0.490062i \(0.836974\pi\)
\(74\) 2.59806 0.899198i 0.302019 0.104530i
\(75\) 2.20326 0.534504i 0.254410 0.0617192i
\(76\) 2.16996 1.39455i 0.248912 0.159966i
\(77\) 12.9399 3.65904i 1.47464 0.416986i
\(78\) −0.498920 0.575785i −0.0564916 0.0651948i
\(79\) −13.4418 0.640311i −1.51232 0.0720406i −0.725069 0.688676i \(-0.758192\pi\)
−0.787249 + 0.616635i \(0.788495\pi\)
\(80\) −4.95906 3.89985i −0.554440 0.436016i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) −1.80531 0.0859975i −0.199363 0.00949684i
\(83\) 4.65175 + 5.36840i 0.510596 + 0.589259i 0.951251 0.308417i \(-0.0997994\pi\)
−0.440655 + 0.897676i \(0.645254\pi\)
\(84\) −1.11018 + 4.38398i −0.121131 + 0.478331i
\(85\) −6.33875 + 4.07367i −0.687534 + 0.441851i
\(86\) 0.553051 0.134169i 0.0596370 0.0144678i
\(87\) 2.55067 0.882794i 0.273460 0.0946455i
\(88\) −9.87845 2.39649i −1.05305 0.255466i
\(89\) −13.8590 + 1.32338i −1.46905 + 0.140278i −0.798685 0.601750i \(-0.794471\pi\)
−0.670370 + 0.742027i \(0.733864\pi\)
\(90\) 0.206853 + 1.43869i 0.0218042 + 0.151651i
\(91\) −3.48450 + 1.35462i −0.365275 + 0.142003i
\(92\) −7.51547 3.27358i −0.783542 0.341294i
\(93\) −1.11174 1.92559i −0.115282 0.199674i
\(94\) −1.09694 + 2.74002i −0.113140 + 0.282611i
\(95\) −2.35973 3.31378i −0.242103 0.339986i
\(96\) 3.63100 3.80808i 0.370587 0.388660i
\(97\) 11.5519 13.3316i 1.17292 1.35362i 0.250181 0.968199i \(-0.419510\pi\)
0.922740 0.385424i \(-0.125945\pi\)
\(98\) −3.13353 2.10373i −0.316534 0.212509i
\(99\) −2.74787 4.27577i −0.276171 0.429731i
\(100\) −2.24786 + 3.15668i −0.224786 + 0.315668i
\(101\) −0.706163 3.66392i −0.0702658 0.364574i 0.929727 0.368248i \(-0.120042\pi\)
−0.999993 + 0.00367470i \(0.998830\pi\)
\(102\) −0.690563 1.33950i −0.0683759 0.132631i
\(103\) −2.84412 + 1.13862i −0.280240 + 0.112191i −0.507525 0.861637i \(-0.669439\pi\)
0.227285 + 0.973828i \(0.427015\pi\)
\(104\) 2.79724 + 0.402183i 0.274292 + 0.0394373i
\(105\) 6.98956 + 1.41993i 0.682111 + 0.138571i
\(106\) 1.27915 1.10839i 0.124242 0.107656i
\(107\) 10.5364 + 7.50295i 1.01859 + 0.725337i 0.961997 0.273060i \(-0.0880358\pi\)
0.0565964 + 0.998397i \(0.481975\pi\)
\(108\) 1.70736 0.0813314i 0.164290 0.00782612i
\(109\) −7.87541 8.25950i −0.754328 0.791116i 0.228909 0.973448i \(-0.426484\pi\)
−0.983237 + 0.182331i \(0.941636\pi\)
\(110\) −1.39810 + 7.25401i −0.133303 + 0.691642i
\(111\) −4.89250 + 1.43657i −0.464375 + 0.136353i
\(112\) −2.78192 5.53161i −0.262867 0.522688i
\(113\) 20.3957 2.93245i 1.91866 0.275862i 0.924281 0.381712i \(-0.124666\pi\)
0.994382 + 0.105850i \(0.0337565\pi\)
\(114\) 0.704642 0.406825i 0.0659957 0.0381027i
\(115\) −4.59302 + 12.0851i −0.428301 + 1.12694i
\(116\) −2.30679 + 3.99548i −0.214180 + 0.370971i
\(117\) 0.873482 + 1.11072i 0.0807535 + 0.102686i
\(118\) 0.449940 + 0.205480i 0.0414203 + 0.0189160i
\(119\) −7.33000 + 0.979013i −0.671940 + 0.0897460i
\(120\) −4.07455 3.53062i −0.371954 0.322300i
\(121\) −3.49701 14.4149i −0.317910 1.31044i
\(122\) 0.0670374 + 1.40729i 0.00606928 + 0.127410i
\(123\) 3.33691 + 0.318636i 0.300879 + 0.0287305i
\(124\) 3.59154 + 1.24304i 0.322530 + 0.111629i
\(125\) −6.19759 3.98295i −0.554330 0.356246i
\(126\) −0.415595 + 1.36464i −0.0370242 + 0.121572i
\(127\) 2.22591 15.4816i 0.197518 1.37377i −0.613938 0.789354i \(-0.710416\pi\)
0.811456 0.584413i \(-0.198675\pi\)
\(128\) −0.548021 + 11.5044i −0.0484386 + 1.01685i
\(129\) −1.03642 + 0.199753i −0.0912515 + 0.0175873i
\(130\) 0.195229 2.04453i 0.0171227 0.179317i
\(131\) 2.51437 4.87720i 0.219682 0.426123i −0.753080 0.657929i \(-0.771433\pi\)
0.972762 + 0.231805i \(0.0744632\pi\)
\(132\) 8.33576 + 2.44760i 0.725535 + 0.213036i
\(133\) −0.716277 3.92785i −0.0621091 0.340588i
\(134\) −2.12652 7.24226i −0.183703 0.625636i
\(135\) −0.256249 2.68356i −0.0220544 0.230964i
\(136\) 5.18960 + 2.07760i 0.445005 + 0.178153i
\(137\) −17.7326 10.2379i −1.51500 0.874685i −0.999845 0.0175872i \(-0.994402\pi\)
−0.515154 0.857098i \(-0.672265\pi\)
\(138\) −2.31884 1.14424i −0.197392 0.0974040i
\(139\) 17.9318i 1.52095i 0.649365 + 0.760477i \(0.275035\pi\)
−0.649365 + 0.760477i \(0.724965\pi\)
\(140\) −10.6185 + 5.98949i −0.897426 + 0.506204i
\(141\) 2.27398 4.97932i 0.191504 0.419335i
\(142\) 3.67886 + 3.50778i 0.308723 + 0.294367i
\(143\) 2.34898 + 6.78693i 0.196431 + 0.567551i
\(144\) −1.69373 + 1.61497i −0.141144 + 0.134581i
\(145\) 6.46734 + 3.33414i 0.537083 + 0.276886i
\(146\) 6.13122 2.80004i 0.507424 0.231733i
\(147\) 5.61950 + 4.17388i 0.463488 + 0.344256i
\(148\) 4.71209 7.33216i 0.387332 0.602700i
\(149\) −6.18798 15.4568i −0.506939 1.26627i −0.932444 0.361316i \(-0.882328\pi\)
0.425505 0.904956i \(-0.360097\pi\)
\(150\) −0.755634 + 0.960866i −0.0616972 + 0.0784544i
\(151\) −18.1358 + 9.34967i −1.47587 + 0.760865i −0.993363 0.115025i \(-0.963305\pi\)
−0.482510 + 0.875890i \(0.660275\pi\)
\(152\) −0.987113 + 2.85208i −0.0800654 + 0.231334i
\(153\) 1.16112 + 2.54250i 0.0938709 + 0.205549i
\(154\) −4.26465 + 5.86359i −0.343656 + 0.472501i
\(155\) 1.68870 5.75117i 0.135639 0.461945i
\(156\) −2.37165 0.457098i −0.189884 0.0365971i
\(157\) 0.622071 2.56421i 0.0496466 0.204646i −0.941586 0.336772i \(-0.890665\pi\)
0.991233 + 0.132125i \(0.0421801\pi\)
\(158\) 5.91029 4.20870i 0.470198 0.334826i
\(159\) −2.46755 + 1.94050i −0.195689 + 0.153892i
\(160\) 14.1843 1.12137
\(161\) −9.11653 + 8.82547i −0.718483 + 0.695545i
\(162\) 0.539173 0.0423615
\(163\) 6.85882 5.39384i 0.537224 0.422478i −0.312334 0.949972i \(-0.601111\pi\)
0.849558 + 0.527494i \(0.176868\pi\)
\(164\) −4.66728 + 3.32355i −0.364453 + 0.259526i
\(165\) 3.23026 13.3153i 0.251476 1.03660i
\(166\) −3.76076 0.724827i −0.291892 0.0562575i
\(167\) 3.03938 10.3512i 0.235194 0.800998i −0.754313 0.656515i \(-0.772030\pi\)
0.989507 0.144483i \(-0.0461519\pi\)
\(168\) −2.14976 4.83499i −0.165858 0.373028i
\(169\) 4.57095 + 10.0090i 0.351611 + 0.769921i
\(170\) 1.32875 3.83917i 0.101910 0.294451i
\(171\) −1.34131 + 0.691496i −0.102573 + 0.0528800i
\(172\) 1.11525 1.41815i 0.0850368 0.108133i
\(173\) −1.19172 2.97678i −0.0906051 0.226321i 0.876143 0.482051i \(-0.160108\pi\)
−0.966748 + 0.255731i \(0.917684\pi\)
\(174\) −0.786790 + 1.22427i −0.0596464 + 0.0928116i
\(175\) 3.19221 + 5.07838i 0.241309 + 0.383890i
\(176\) −10.8198 + 4.94122i −0.815570 + 0.372459i
\(177\) −0.815420 0.420378i −0.0612907 0.0315976i
\(178\) 5.43264 5.18002i 0.407194 0.388259i
\(179\) −3.00968 8.69589i −0.224954 0.649961i −0.999840 0.0178611i \(-0.994314\pi\)
0.774887 0.632100i \(-0.217807\pi\)
\(180\) 3.33486 + 3.17978i 0.248566 + 0.237007i
\(181\) 7.15446 15.6661i 0.531787 1.16445i −0.432994 0.901397i \(-0.642543\pi\)
0.964781 0.263054i \(-0.0847297\pi\)
\(182\) 1.02531 1.73548i 0.0760009 0.128642i
\(183\) 2.61305i 0.193162i
\(184\) 9.27982 2.42498i 0.684117 0.178772i
\(185\) −11.9042 6.87292i −0.875218 0.505307i
\(186\) 1.11296 + 0.445563i 0.0816064 + 0.0326703i
\(187\) 1.35040 + 14.1420i 0.0987508 + 1.03417i
\(188\) 2.63608 + 8.97765i 0.192256 + 0.654762i
\(189\) 0.890357 2.49144i 0.0647639 0.181225i
\(190\) 2.10456 + 0.617956i 0.152681 + 0.0448312i
\(191\) 0.488200 0.946975i 0.0353249 0.0685207i −0.870512 0.492146i \(-0.836212\pi\)
0.905837 + 0.423626i \(0.139243\pi\)
\(192\) 0.175241 1.83521i 0.0126469 0.132445i
\(193\) −4.67066 + 0.900196i −0.336202 + 0.0647976i −0.354558 0.935034i \(-0.615369\pi\)
0.0183566 + 0.999832i \(0.494157\pi\)
\(194\) −0.452560 + 9.50040i −0.0324919 + 0.682089i
\(195\) −0.542109 + 3.77045i −0.0388212 + 0.270008i
\(196\) −11.9313 + 0.898372i −0.852234 + 0.0641694i
\(197\) 3.97759 + 2.55624i 0.283392 + 0.182125i 0.674612 0.738172i \(-0.264311\pi\)
−0.391221 + 0.920297i \(0.627947\pi\)
\(198\) 2.58969 + 0.896300i 0.184041 + 0.0636973i
\(199\) 24.4996 + 2.33943i 1.73673 + 0.165838i 0.914843 0.403809i \(-0.132314\pi\)
0.821889 + 0.569647i \(0.192920\pi\)
\(200\) −0.215747 4.52908i −0.0152556 0.320254i
\(201\) 3.30044 + 13.6046i 0.232795 + 0.959595i
\(202\) 1.52045 + 1.31748i 0.106979 + 0.0926974i
\(203\) 4.35791 + 5.65732i 0.305865 + 0.397066i
\(204\) −4.34587 1.98469i −0.304272 0.138956i
\(205\) 5.58596 + 7.10313i 0.390141 + 0.496104i
\(206\) 0.825899 1.43050i 0.0575431 0.0996676i
\(207\) 4.19488 + 2.32444i 0.291564 + 0.161560i
\(208\) 2.86384 1.65344i 0.198572 0.114646i
\(209\) −7.59195 + 1.09156i −0.525146 + 0.0755046i
\(210\) −3.43556 + 1.72779i −0.237076 + 0.119229i
\(211\) 2.25694 0.662698i 0.155374 0.0456220i −0.203120 0.979154i \(-0.565108\pi\)
0.358495 + 0.933532i \(0.383290\pi\)
\(212\) 1.01547 5.26878i 0.0697431 0.361862i
\(213\) −6.50585 6.82314i −0.445774 0.467514i
\(214\) −6.96622 + 0.331842i −0.476201 + 0.0226843i
\(215\) −2.31776 1.65047i −0.158070 0.112561i
\(216\) −1.51146 + 1.30969i −0.102842 + 0.0891131i
\(217\) 3.89676 4.40706i 0.264529 0.299171i
\(218\) 6.09060 + 0.875696i 0.412507 + 0.0593096i
\(219\) −11.6058 + 4.64624i −0.784244 + 0.313964i
\(220\) 10.7316 + 20.8165i 0.723527 + 1.40345i
\(221\) −0.747458 3.87818i −0.0502795 0.260875i
\(222\) 1.59473 2.23949i 0.107031 0.150305i
\(223\) 7.70920 + 11.9958i 0.516247 + 0.803295i 0.997303 0.0733944i \(-0.0233832\pi\)
−0.481056 + 0.876690i \(0.659747\pi\)
\(224\) 12.6045 + 5.90970i 0.842177 + 0.394858i
\(225\) 1.48468 1.71341i 0.0989784 0.114227i
\(226\) −7.66670 + 8.04060i −0.509981 + 0.534853i
\(227\) 7.42523 + 10.4273i 0.492830 + 0.692082i 0.983836 0.179074i \(-0.0573101\pi\)
−0.491006 + 0.871156i \(0.663371\pi\)
\(228\) 0.958682 2.39467i 0.0634902 0.158591i
\(229\) 6.61029 + 11.4494i 0.436820 + 0.756595i 0.997442 0.0714772i \(-0.0227713\pi\)
−0.560622 + 0.828072i \(0.689438\pi\)
\(230\) −2.08129 6.65271i −0.137236 0.438667i
\(231\) 8.41812 10.4865i 0.553872 0.689959i
\(232\) −0.768230 5.34316i −0.0504368 0.350795i
\(233\) −19.1507 + 1.82867i −1.25461 + 0.119800i −0.701111 0.713053i \(-0.747312\pi\)
−0.553495 + 0.832853i \(0.686706\pi\)
\(234\) −0.740396 0.179618i −0.0484012 0.0117420i
\(235\) 13.9450 4.82642i 0.909673 0.314841i
\(236\) 1.52391 0.369696i 0.0991979 0.0240651i
\(237\) −11.3208 + 7.27542i −0.735363 + 0.472589i
\(238\) 2.78029 2.85797i 0.180220 0.185255i
\(239\) 4.56549 + 5.26885i 0.295317 + 0.340814i 0.883946 0.467590i \(-0.154878\pi\)
−0.588629 + 0.808403i \(0.700332\pi\)
\(240\) −6.30166 0.300185i −0.406771 0.0193769i
\(241\) −0.487553 0.383416i −0.0314060 0.0246980i 0.602333 0.798245i \(-0.294238\pi\)
−0.633739 + 0.773547i \(0.718481\pi\)
\(242\) 6.28649 + 4.94375i 0.404111 + 0.317797i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) 2.92491 + 3.37552i 0.187248 + 0.216096i
\(245\) 2.31059 + 18.7284i 0.147618 + 1.19651i
\(246\) −1.52045 + 0.977131i −0.0969401 + 0.0622996i
\(247\) 2.07226 0.502726i 0.131855 0.0319877i
\(248\) −4.20227 + 1.45442i −0.266844 + 0.0923557i
\(249\) 6.90318 + 1.67469i 0.437471 + 0.106129i
\(250\) 3.95415 0.377576i 0.250083 0.0238800i
\(251\) −1.15324 8.02093i −0.0727916 0.506277i −0.993301 0.115556i \(-0.963135\pi\)
0.920509 0.390720i \(-0.127774\pi\)
\(252\) 1.63863 + 4.21505i 0.103224 + 0.265523i
\(253\) 16.2842 + 18.1379i 1.02378 + 1.14032i
\(254\) 4.21654 + 7.30327i 0.264569 + 0.458248i
\(255\) −2.80044 + 6.99515i −0.175370 + 0.438053i
\(256\) −1.46335 2.05499i −0.0914596 0.128437i
\(257\) −0.852789 + 0.894379i −0.0531955 + 0.0557898i −0.749794 0.661671i \(-0.769847\pi\)
0.696599 + 0.717461i \(0.254696\pi\)
\(258\) 0.372677 0.430092i 0.0232018 0.0267763i
\(259\) −7.71490 11.0672i −0.479380 0.687680i
\(260\) −3.52015 5.47746i −0.218311 0.339698i
\(261\) 1.56564 2.19863i 0.0969107 0.136092i
\(262\) 0.559908 + 2.90508i 0.0345912 + 0.179476i
\(263\) 9.25229 + 17.9469i 0.570521 + 1.10666i 0.980858 + 0.194722i \(0.0623805\pi\)
−0.410338 + 0.911934i \(0.634589\pi\)
\(264\) −9.43684 + 3.77794i −0.580798 + 0.232516i
\(265\) −8.37632 1.20433i −0.514554 0.0739816i
\(266\) 1.61270 + 1.42596i 0.0988812 + 0.0874315i
\(267\) −10.5216 + 9.11702i −0.643912 + 0.557953i
\(268\) −19.4918 13.8800i −1.19065 0.847858i
\(269\) 13.0422 0.621276i 0.795196 0.0378799i 0.353948 0.935265i \(-0.384839\pi\)
0.441248 + 0.897385i \(0.354536\pi\)
\(270\) 1.00302 + 1.05194i 0.0610419 + 0.0640189i
\(271\) 1.04470 5.42043i 0.0634612 0.329268i −0.936298 0.351206i \(-0.885772\pi\)
0.999759 + 0.0219383i \(0.00698374\pi\)
\(272\) 6.27626 1.84288i 0.380554 0.111741i
\(273\) −2.05263 + 3.12465i −0.124231 + 0.189112i
\(274\) 10.9277 1.57116i 0.660164 0.0949173i
\(275\) 9.97931 5.76156i 0.601775 0.347435i
\(276\) −8.02078 + 1.69282i −0.482794 + 0.101896i
\(277\) −14.4602 + 25.0457i −0.868827 + 1.50485i −0.00563027 + 0.999984i \(0.501792\pi\)
−0.863197 + 0.504868i \(0.831541\pi\)
\(278\) −5.97657 7.59982i −0.358451 0.455807i
\(279\) −2.02254 0.923665i −0.121087 0.0552984i
\(280\) 5.43397 13.1887i 0.324742 0.788177i
\(281\) −0.0710240 0.0615427i −0.00423694 0.00367133i 0.652740 0.757582i \(-0.273620\pi\)
−0.656977 + 0.753911i \(0.728165\pi\)
\(282\) 0.695827 + 2.86824i 0.0414359 + 0.170801i
\(283\) 1.39254 + 29.2331i 0.0827782 + 1.73773i 0.534148 + 0.845391i \(0.320632\pi\)
−0.451370 + 0.892337i \(0.649065\pi\)
\(284\) 16.0417 + 1.53180i 0.951901 + 0.0908955i
\(285\) −3.84436 1.33055i −0.227720 0.0788147i
\(286\) −3.25759 2.09353i −0.192625 0.123793i
\(287\) 2.00441 + 8.63932i 0.118316 + 0.509963i
\(288\) 0.748819 5.20815i 0.0441246 0.306893i
\(289\) −0.437160 + 9.17711i −0.0257153 + 0.539830i
\(290\) −3.85223 + 0.742457i −0.226211 + 0.0435986i
\(291\) 1.67682 17.5604i 0.0982967 1.02941i
\(292\) 9.79151 18.9929i 0.573005 1.11147i
\(293\) 22.7813 + 6.68918i 1.33090 + 0.390786i 0.868413 0.495842i \(-0.165140\pi\)
0.462483 + 0.886628i \(0.346959\pi\)
\(294\) −3.77278 + 0.103981i −0.220033 + 0.00606429i
\(295\) −0.696754 2.37293i −0.0405666 0.138157i
\(296\) 0.969367 + 10.1517i 0.0563433 + 0.590054i
\(297\) −4.71854 1.88902i −0.273797 0.109612i
\(298\) 7.77426 + 4.48847i 0.450351 + 0.260010i
\(299\) −4.98608 4.58940i −0.288352 0.265412i
\(300\) 3.87524i 0.223737i
\(301\) −1.37197 2.43231i −0.0790793 0.140196i
\(302\) 4.57011 10.0071i 0.262980 0.575846i
\(303\) −2.70051 2.57493i −0.155140 0.147926i
\(304\) 1.15508 + 3.33739i 0.0662484 + 0.191412i
\(305\) 5.09810 4.86103i 0.291916 0.278342i
\(306\) −1.33950 0.690563i −0.0765744 0.0394768i
\(307\) −7.96676 + 3.63830i −0.454687 + 0.207649i −0.629575 0.776940i \(-0.716771\pi\)
0.174888 + 0.984588i \(0.444044\pi\)
\(308\) 0.863517 + 22.9692i 0.0492035 + 1.30879i
\(309\) −1.65629 + 2.57724i −0.0942233 + 0.146614i
\(310\) 1.20113 + 3.00029i 0.0682199 + 0.170405i
\(311\) 8.37528 10.6500i 0.474918 0.603908i −0.488284 0.872685i \(-0.662377\pi\)
0.963202 + 0.268777i \(0.0866195\pi\)
\(312\) 2.51186 1.29495i 0.142206 0.0733122i
\(313\) −1.40062 + 4.04682i −0.0791677 + 0.228740i −0.977638 0.210294i \(-0.932558\pi\)
0.898471 + 0.439034i \(0.144679\pi\)
\(314\) 0.590993 + 1.29409i 0.0333516 + 0.0730299i
\(315\) 6.51717 2.89770i 0.367201 0.163267i
\(316\) 6.48041 22.0702i 0.364551 1.24155i
\(317\) −15.9734 3.07862i −0.897156 0.172913i −0.280229 0.959933i \(-0.590410\pi\)
−0.616927 + 0.787021i \(0.711623\pi\)
\(318\) 0.399035 1.64484i 0.0223768 0.0922383i
\(319\) 11.1748 7.95755i 0.625670 0.445537i
\(320\) 3.90652 3.07212i 0.218381 0.171737i
\(321\) 12.9348 0.721953
\(322\) 0.922272 6.77889i 0.0513962 0.377773i
\(323\) 4.21797 0.234694
\(324\) 1.34359 1.05661i 0.0746441 0.0587008i
\(325\) −2.60957 + 1.85826i −0.144753 + 0.103078i
\(326\) −1.10916 + 4.57202i −0.0614307 + 0.253221i
\(327\) −11.2061 2.15980i −0.619699 0.119437i
\(328\) 1.88874 6.43246i 0.104288 0.355173i
\(329\) 14.4027 + 1.52111i 0.794048 + 0.0838617i
\(330\) 3.06888 + 6.71991i 0.168936 + 0.369919i
\(331\) −9.39668 + 27.1499i −0.516488 + 1.49230i 0.321661 + 0.946855i \(0.395759\pi\)
−0.838150 + 0.545440i \(0.816362\pi\)
\(332\) −10.7921 + 5.56370i −0.592292 + 0.305348i
\(333\) −3.15202 + 4.00812i −0.172730 + 0.219644i
\(334\) 2.16185 + 5.40003i 0.118291 + 0.295477i
\(335\) −20.4030 + 31.7478i −1.11474 + 1.73457i
\(336\) −5.47474 2.89224i −0.298672 0.157785i
\(337\) −5.43771 + 2.48332i −0.296211 + 0.135275i −0.557977 0.829856i \(-0.688422\pi\)
0.261766 + 0.965131i \(0.415695\pi\)
\(338\) −5.27319 2.71852i −0.286824 0.147868i
\(339\) 14.9128 14.2194i 0.809954 0.772289i
\(340\) −4.21242 12.1710i −0.228450 0.660064i
\(341\) −8.17897 7.79863i −0.442916 0.422319i
\(342\) 0.338003 0.740122i 0.0182771 0.0400212i
\(343\) −5.74965 + 17.6052i −0.310452 + 0.950589i
\(344\) 2.11093i 0.113814i
\(345\) 3.26867 + 12.5084i 0.175979 + 0.673431i
\(346\) 1.49722 + 0.864421i 0.0804911 + 0.0464715i
\(347\) 15.1978 + 6.08428i 0.815860 + 0.326621i 0.741790 0.670632i \(-0.233977\pi\)
0.0740697 + 0.997253i \(0.476401\pi\)
\(348\) 0.438548 + 4.59269i 0.0235087 + 0.246194i
\(349\) 0.455681 + 1.55191i 0.0243920 + 0.0830716i 0.970790 0.239933i \(-0.0771254\pi\)
−0.946398 + 0.323004i \(0.895307\pi\)
\(350\) −3.04552 1.08837i −0.162790 0.0581756i
\(351\) 1.35580 + 0.398099i 0.0723673 + 0.0212489i
\(352\) 12.2545 23.7703i 0.653165 1.26696i
\(353\) 2.45102 25.6683i 0.130455 1.36618i −0.658893 0.752237i \(-0.728975\pi\)
0.789347 0.613947i \(-0.210419\pi\)
\(354\) 0.485700 0.0936111i 0.0258147 0.00497537i
\(355\) 1.20929 25.3861i 0.0641824 1.34735i
\(356\) 3.38665 23.5547i 0.179492 1.24840i
\(357\) −5.40296 + 5.04930i −0.285955 + 0.267237i
\(358\) 4.17385 + 2.68237i 0.220595 + 0.141768i
\(359\) −20.6571 7.14950i −1.09024 0.377336i −0.277955 0.960594i \(-0.589657\pi\)
−0.812287 + 0.583258i \(0.801778\pi\)
\(360\) −5.36699 0.512486i −0.282865 0.0270104i
\(361\) −0.795698 16.7038i −0.0418789 0.879146i
\(362\) 2.18923 + 9.02412i 0.115063 + 0.474297i
\(363\) −11.2100 9.71353i −0.588373 0.509828i
\(364\) −0.845988 6.33402i −0.0443418 0.331993i
\(365\) −30.6550 13.9997i −1.60456 0.732776i
\(366\) 0.870914 + 1.10746i 0.0455234 + 0.0578877i
\(367\) 17.6234 30.5247i 0.919936 1.59338i 0.120427 0.992722i \(-0.461574\pi\)
0.799509 0.600654i \(-0.205093\pi\)
\(368\) 6.78156 8.94303i 0.353513 0.466187i
\(369\) 2.90299 1.67604i 0.151124 0.0872514i
\(370\) 7.33595 1.05475i 0.381378 0.0548339i
\(371\) −6.94163 4.56007i −0.360392 0.236747i
\(372\) 3.64662 1.07074i 0.189068 0.0555155i
\(373\) 4.88135 25.3268i 0.252747 1.31137i −0.604556 0.796562i \(-0.706650\pi\)
0.857303 0.514812i \(-0.172138\pi\)
\(374\) −5.28578 5.54356i −0.273321 0.286651i
\(375\) −7.35875 + 0.350540i −0.380004 + 0.0181018i
\(376\) −8.91775 6.35030i −0.459898 0.327492i
\(377\) −2.88239 + 2.49761i −0.148451 + 0.128633i
\(378\) 0.453034 + 1.35267i 0.0233015 + 0.0695738i
\(379\) −16.7454 2.40763i −0.860155 0.123672i −0.301899 0.953340i \(-0.597620\pi\)
−0.558256 + 0.829668i \(0.688529\pi\)
\(380\) 6.45548 2.58438i 0.331159 0.132576i
\(381\) −7.16702 13.9021i −0.367177 0.712225i
\(382\) 0.108714 + 0.564060i 0.00556228 + 0.0288598i
\(383\) 16.2970 22.8859i 0.832738 1.16942i −0.150773 0.988568i \(-0.548176\pi\)
0.983511 0.180849i \(-0.0578845\pi\)
\(384\) 6.22679 + 9.68907i 0.317759 + 0.494443i
\(385\) 36.1195 3.08400i 1.84082 0.157175i
\(386\) 1.67948 1.93823i 0.0854835 0.0986532i
\(387\) −0.728373 + 0.763895i −0.0370253 + 0.0388310i
\(388\) 17.4901 + 24.5614i 0.887926 + 1.24692i
\(389\) 0.138160 0.345106i 0.00700497 0.0174976i −0.924824 0.380395i \(-0.875788\pi\)
0.931829 + 0.362897i \(0.118212\pi\)
\(390\) −1.02692 1.77867i −0.0519999 0.0900664i
\(391\) −7.44451 11.1475i −0.376485 0.563752i
\(392\) 10.3236 9.45584i 0.521423 0.477592i
\(393\) −0.780908 5.43133i −0.0393916 0.273975i
\(394\) −2.53776 + 0.242327i −0.127851 + 0.0122082i
\(395\) −35.2544 8.55263i −1.77384 0.430329i
\(396\) 8.20986 2.84146i 0.412561 0.142789i
\(397\) −30.2788 + 7.34556i −1.51965 + 0.368663i −0.906808 0.421543i \(-0.861489\pi\)
−0.612841 + 0.790206i \(0.709973\pi\)
\(398\) −11.1631 + 7.17410i −0.559557 + 0.359605i
\(399\) −2.86184 2.78405i −0.143271 0.139377i
\(400\) −3.47453 4.00983i −0.173727 0.200491i
\(401\) −19.3490 0.921707i −0.966244 0.0460279i −0.441476 0.897273i \(-0.645545\pi\)
−0.524768 + 0.851245i \(0.675848\pi\)
\(402\) −5.93313 4.66587i −0.295918 0.232712i
\(403\) 2.46966 + 1.94217i 0.123023 + 0.0967462i
\(404\) 6.37075 + 0.303476i 0.316956 + 0.0150985i
\(405\) −1.76535 2.03733i −0.0877211 0.101236i
\(406\) −3.73252 0.945210i −0.185242 0.0469100i
\(407\) −21.8023 + 14.0115i −1.08070 + 0.694525i
\(408\) 5.43245 1.31790i 0.268946 0.0652457i
\(409\) −9.98760 + 3.45674i −0.493855 + 0.170925i −0.562633 0.826707i \(-0.690211\pi\)
0.0687774 + 0.997632i \(0.478090\pi\)
\(410\) −4.73487 1.14867i −0.233839 0.0567287i
\(411\) −20.3831 + 1.94635i −1.00543 + 0.0960065i
\(412\) −0.745238 5.18324i −0.0367152 0.255360i
\(413\) 0.369492 2.39893i 0.0181815 0.118044i
\(414\) −2.55259 + 0.412989i −0.125453 + 0.0202973i
\(415\) 9.57458 + 16.5837i 0.469998 + 0.814060i
\(416\) −2.76331 + 6.90241i −0.135482 + 0.338419i
\(417\) 10.4015 + 14.6068i 0.509361 + 0.715298i
\(418\) 2.85380 2.99298i 0.139584 0.146391i
\(419\) 0.754343 0.870558i 0.0368521 0.0425295i −0.737024 0.675866i \(-0.763770\pi\)
0.773876 + 0.633337i \(0.218315\pi\)
\(420\) −5.17532 + 11.0382i −0.252530 + 0.538610i
\(421\) −10.4940 16.3289i −0.511445 0.795823i 0.485475 0.874250i \(-0.338647\pi\)
−0.996920 + 0.0784271i \(0.975010\pi\)
\(422\) −0.735661 + 1.03309i −0.0358114 + 0.0502901i
\(423\) −1.03596 5.37507i −0.0503701 0.261345i
\(424\) 2.87683 + 5.58027i 0.139711 + 0.271002i
\(425\) −5.88298 + 2.35519i −0.285366 + 0.114243i
\(426\) 5.03142 + 0.723409i 0.243773 + 0.0350493i
\(427\) 6.55557 2.19558i 0.317246 0.106251i
\(428\) −16.7092 + 14.4786i −0.807669 + 0.699849i
\(429\) 5.85023 + 4.16593i 0.282452 + 0.201133i
\(430\) 1.53240 0.0729974i 0.0738991 0.00352025i
\(431\) −9.39352 9.85164i −0.452470 0.474537i 0.457501 0.889209i \(-0.348745\pi\)
−0.909971 + 0.414672i \(0.863896\pi\)
\(432\) −0.442898 + 2.29797i −0.0213089 + 0.110561i
\(433\) 22.1613 6.50715i 1.06500 0.312714i 0.298140 0.954522i \(-0.403634\pi\)
0.766865 + 0.641809i \(0.221816\pi\)
\(434\) −0.182669 + 3.16656i −0.00876838 + 0.152000i
\(435\) 7.20213 1.03551i 0.345316 0.0496489i
\(436\) 16.8936 9.75351i 0.809055 0.467108i
\(437\) 5.82048 4.30113i 0.278431 0.205751i
\(438\) 3.37017 5.83730i 0.161033 0.278917i
\(439\) 23.9533 + 30.4590i 1.14323 + 1.45373i 0.870856 + 0.491538i \(0.163565\pi\)
0.272370 + 0.962192i \(0.412192\pi\)
\(440\) −24.9261 11.3834i −1.18831 0.542681i
\(441\) 6.99859 + 0.140313i 0.333266 + 0.00668156i
\(442\) 1.60937 + 1.39452i 0.0765497 + 0.0663307i
\(443\) 2.79480 + 11.5203i 0.132785 + 0.547347i 0.998873 + 0.0474562i \(0.0151115\pi\)
−0.866088 + 0.499891i \(0.833373\pi\)
\(444\) −0.414712 8.70589i −0.0196814 0.413163i
\(445\) −37.3607 3.56752i −1.77107 0.169117i
\(446\) −7.26543 2.51459i −0.344028 0.119069i
\(447\) −14.0064 9.00137i −0.662481 0.425750i
\(448\) 4.75138 1.10237i 0.224482 0.0520820i
\(449\) −0.962604 + 6.69506i −0.0454281 + 0.315959i 0.954419 + 0.298470i \(0.0964764\pi\)
−0.999847 + 0.0174892i \(0.994433\pi\)
\(450\) −0.0581638 + 1.22101i −0.00274187 + 0.0575589i
\(451\) 16.7295 3.22435i 0.787761 0.151828i
\(452\) −3.34794 + 35.0612i −0.157474 + 1.64914i
\(453\) −9.34967 + 18.1358i −0.439286 + 0.852096i
\(454\) −6.62231 1.94448i −0.310800 0.0912592i
\(455\) −9.91475 + 1.80804i −0.464811 + 0.0847622i
\(456\) 0.850288 + 2.89581i 0.0398184 + 0.135609i
\(457\) 2.01898 + 21.1438i 0.0944441 + 0.989063i 0.911168 + 0.412035i \(0.135182\pi\)
−0.816724 + 0.577028i \(0.804212\pi\)
\(458\) −6.61757 2.64928i −0.309219 0.123793i
\(459\) 2.42061 + 1.39754i 0.112984 + 0.0652316i
\(460\) −18.2237 12.4996i −0.849686 0.582795i
\(461\) 27.9810i 1.30321i 0.758560 + 0.651603i \(0.225903\pi\)
−0.758560 + 0.651603i \(0.774097\pi\)
\(462\) −0.0726701 + 7.25008i −0.00338092 + 0.337304i
\(463\) −5.43171 + 11.8938i −0.252433 + 0.552751i −0.992846 0.119401i \(-0.961903\pi\)
0.740413 + 0.672152i \(0.234630\pi\)
\(464\) −4.57157 4.35898i −0.212230 0.202361i
\(465\) −1.96044 5.66431i −0.0909130 0.262676i
\(466\) 7.50695 7.15786i 0.347753 0.331581i
\(467\) 32.6024 + 16.8077i 1.50866 + 0.777768i 0.996695 0.0812386i \(-0.0258876\pi\)
0.511965 + 0.859007i \(0.328918\pi\)
\(468\) −2.19703 + 1.00335i −0.101558 + 0.0463799i
\(469\) −31.3579 + 19.7112i −1.44797 + 0.910178i
\(470\) −4.30154 + 6.69333i −0.198415 + 0.308740i
\(471\) −0.980664 2.44958i −0.0451866 0.112871i
\(472\) −1.13417 + 1.44222i −0.0522046 + 0.0663835i
\(473\) −4.76830 + 2.45823i −0.219247 + 0.113029i
\(474\) 2.37310 6.85661i 0.109000 0.314935i
\(475\) −1.42126 3.11213i −0.0652120 0.142794i
\(476\) 1.32760 12.5705i 0.0608505 0.576166i
\(477\) −0.884405 + 3.01201i −0.0404941 + 0.137910i
\(478\) −3.69102 0.711386i −0.168823 0.0325380i
\(479\) −2.62795 + 10.8325i −0.120074 + 0.494951i 0.879736 + 0.475462i \(0.157719\pi\)
−0.999810 + 0.0194892i \(0.993796\pi\)
\(480\) 11.5542 8.22773i 0.527376 0.375543i
\(481\) 5.66363 4.45393i 0.258239 0.203082i
\(482\) 0.334424 0.0152326
\(483\) −2.30683 + 12.4771i −0.104964 + 0.567729i
\(484\) 25.3539 1.15245
\(485\) 37.3801 29.3960i 1.69734 1.33480i
\(486\) 0.439198 0.312751i 0.0199224 0.0141867i
\(487\) −6.41815 + 26.4560i −0.290834 + 1.19883i 0.619512 + 0.784987i \(0.287330\pi\)
−0.910346 + 0.413847i \(0.864185\pi\)
\(488\) −5.13152 0.989020i −0.232293 0.0447708i
\(489\) 2.45830 8.37220i 0.111168 0.378604i
\(490\) −7.22134 7.16733i −0.326227 0.323787i
\(491\) 4.49323 + 9.83880i 0.202777 + 0.444019i 0.983512 0.180843i \(-0.0578826\pi\)
−0.780735 + 0.624862i \(0.785155\pi\)
\(492\) −1.87400 + 5.41457i −0.0844865 + 0.244108i
\(493\) −6.70560 + 3.45697i −0.302005 + 0.155694i
\(494\) −0.710709 + 0.903740i −0.0319763 + 0.0406612i
\(495\) −5.09235 12.7201i −0.228884 0.571725i
\(496\) −2.81323 + 4.37748i −0.126318 + 0.196555i
\(497\) 11.6513 22.0548i 0.522634 0.989295i
\(498\) −3.48387 + 1.59103i −0.156116 + 0.0712957i
\(499\) 7.65359 + 3.94570i 0.342622 + 0.176634i 0.620946 0.783853i \(-0.286749\pi\)
−0.278324 + 0.960487i \(0.589779\pi\)
\(500\) 9.11363 8.68983i 0.407574 0.388621i
\(501\) −3.52846 10.1948i −0.157640 0.455471i
\(502\) 3.16210 + 3.01505i 0.141131 + 0.134568i
\(503\) −17.2216 + 37.7100i −0.767872 + 1.68141i −0.0365902 + 0.999330i \(0.511650\pi\)
−0.731282 + 0.682075i \(0.761078\pi\)
\(504\) −4.55572 2.69148i −0.202928 0.119888i
\(505\) 10.0589i 0.447613i
\(506\) −12.9468 2.25971i −0.575556 0.100456i
\(507\) 9.52916 + 5.50166i 0.423205 + 0.244337i
\(508\) 24.8196 + 9.93627i 1.10119 + 0.440851i
\(509\) −2.29254 24.0086i −0.101615 1.06416i −0.892148 0.451742i \(-0.850803\pi\)
0.790533 0.612419i \(-0.209803\pi\)
\(510\) −1.14457 3.89805i −0.0506824 0.172608i
\(511\) −21.4080 25.2124i −0.947034 1.11533i
\(512\) −20.7966 6.10645i −0.919091 0.269869i
\(513\) −0.691496 + 1.34131i −0.0305303 + 0.0592205i
\(514\) 0.0633360 0.663285i 0.00279363 0.0292562i
\(515\) −8.10944 + 1.56297i −0.357345 + 0.0688725i
\(516\) 0.0858446 1.80210i 0.00377910 0.0793330i
\(517\) 3.95951 27.5390i 0.174139 1.21117i
\(518\) 6.95835 + 2.11914i 0.305732 + 0.0931096i
\(519\) −2.69745 1.73355i −0.118405 0.0760943i
\(520\) 7.19926 + 2.49169i 0.315708 + 0.109268i
\(521\) 33.6623 + 3.21436i 1.47477 + 0.140824i 0.801243 0.598338i \(-0.204172\pi\)
0.673528 + 0.739162i \(0.264778\pi\)
\(522\) 0.0692455 + 1.45364i 0.00303080 + 0.0636242i
\(523\) 5.54325 + 22.8496i 0.242390 + 0.999143i 0.954769 + 0.297349i \(0.0961024\pi\)
−0.712379 + 0.701795i \(0.752382\pi\)
\(524\) 7.08833 + 6.14207i 0.309655 + 0.268318i
\(525\) 5.54605 + 2.28506i 0.242049 + 0.0997283i
\(526\) −9.90292 4.52251i −0.431788 0.197191i
\(527\) 3.84173 + 4.88516i 0.167348 + 0.212801i
\(528\) −5.94733 + 10.3011i −0.258824 + 0.448297i
\(529\) −21.6401 7.79139i −0.940874 0.338756i
\(530\) 3.95144 2.28137i 0.171640 0.0990962i
\(531\) −0.908065 + 0.130560i −0.0394067 + 0.00566582i
\(532\) 6.81323 + 0.393033i 0.295391 + 0.0170402i
\(533\) −4.54476 + 1.33446i −0.196856 + 0.0578020i
\(534\) 1.42060 7.37076i 0.0614753 0.318964i
\(535\) 24.0626 + 25.2361i 1.04032 + 1.09105i
\(536\) 27.9660 1.33219i 1.20795 0.0575417i
\(537\) −7.49572 5.33768i −0.323464 0.230338i
\(538\) −5.32046 + 4.61020i −0.229381 + 0.198760i
\(539\) 33.3815 + 12.3081i 1.43784 + 0.530148i
\(540\) 4.56095 + 0.655766i 0.196272 + 0.0282197i
\(541\) 15.6959 6.28368i 0.674819 0.270157i −0.00883736 0.999961i \(-0.502813\pi\)
0.683656 + 0.729804i \(0.260389\pi\)
\(542\) 1.36384 + 2.64548i 0.0585818 + 0.113633i
\(543\) −3.25937 16.9112i −0.139873 0.725729i
\(544\) −8.53084 + 11.9799i −0.365757 + 0.513634i
\(545\) −16.6328 25.8812i −0.712472 1.10863i
\(546\) −0.171485 2.00842i −0.00733890 0.0859523i
\(547\) −15.6827 + 18.0989i −0.670546 + 0.773851i −0.984462 0.175600i \(-0.943814\pi\)
0.313916 + 0.949451i \(0.398359\pi\)
\(548\) 24.1522 25.3301i 1.03173 1.08205i
\(549\) −1.51571 2.12852i −0.0646891 0.0908432i
\(550\) −2.30912 + 5.76791i −0.0984613 + 0.245944i
\(551\) −2.03658 3.52746i −0.0867611 0.150275i
\(552\) 6.15249 7.35815i 0.261867 0.313184i
\(553\) −27.7646 22.2883i −1.18067 0.947795i
\(554\) −2.21912 15.4343i −0.0942816 0.655743i
\(555\) −13.6836 + 1.30663i −0.580836 + 0.0554632i
\(556\) −29.7867 7.22616i −1.26324 0.306458i
\(557\) 2.09434 0.724859i 0.0887402 0.0307133i −0.282337 0.959315i \(-0.591110\pi\)
0.371077 + 0.928602i \(0.378988\pi\)
\(558\) 1.16504 0.282637i 0.0493203 0.0119650i
\(559\) 1.25469 0.806339i 0.0530676 0.0341045i
\(560\) −4.54179 16.0617i −0.191926 0.678732i
\(561\) 9.30316 + 10.7364i 0.392780 + 0.453292i
\(562\) 0.0506132 + 0.00241100i 0.00213499 + 0.000101702i
\(563\) −28.0011 22.0203i −1.18010 0.928044i −0.181635 0.983366i \(-0.558139\pi\)
−0.998469 + 0.0553220i \(0.982381\pi\)
\(564\) 7.35483 + 5.78390i 0.309694 + 0.243546i
\(565\) 55.4845 + 2.64305i 2.33425 + 0.111194i
\(566\) −10.3334 11.9254i −0.434346 0.501262i
\(567\) −0.719913 2.54592i −0.0302335 0.106919i
\(568\) −15.8618 + 10.1937i −0.665545 + 0.427720i
\(569\) 3.03193 0.735538i 0.127105 0.0308353i −0.171702 0.985149i \(-0.554927\pi\)
0.298807 + 0.954314i \(0.403411\pi\)
\(570\) 2.07278 0.717395i 0.0868190 0.0300484i
\(571\) −21.2005 5.14319i −0.887214 0.215236i −0.233844 0.972274i \(-0.575130\pi\)
−0.653370 + 0.757038i \(0.726646\pi\)
\(572\) −12.2204 + 1.16691i −0.510962 + 0.0487909i
\(573\) −0.151624 1.05457i −0.00633418 0.0440552i
\(574\) −3.72895 2.99345i −0.155643 0.124944i
\(575\) −5.71644 + 9.24894i −0.238392 + 0.385708i
\(576\) −0.921777 1.59656i −0.0384074 0.0665235i
\(577\) −2.22580 + 5.55979i −0.0926615 + 0.231457i −0.967457 0.253035i \(-0.918571\pi\)
0.874796 + 0.484492i \(0.160996\pi\)
\(578\) −2.87341 4.03514i −0.119518 0.167840i
\(579\) −3.28244 + 3.44253i −0.136414 + 0.143067i
\(580\) −8.14459 + 9.39936i −0.338186 + 0.390287i
\(581\) 1.59887 + 18.7257i 0.0663322 + 0.776875i
\(582\) 5.14213 + 8.00131i 0.213148 + 0.331665i
\(583\) −9.25491 + 12.9967i −0.383299 + 0.538268i
\(584\) 4.73164 + 24.5501i 0.195796 + 1.01589i
\(585\) 1.74549 + 3.38577i 0.0721670 + 0.139984i
\(586\) −11.8846 + 4.75788i −0.490948 + 0.196546i
\(587\) 33.0393 + 4.75033i 1.36368 + 0.196067i 0.785003 0.619492i \(-0.212661\pi\)
0.578674 + 0.815559i \(0.303570\pi\)
\(588\) −9.19782 + 7.65261i −0.379312 + 0.315588i
\(589\) −2.53583 + 2.19731i −0.104487 + 0.0905384i
\(590\) 1.08618 + 0.773466i 0.0447174 + 0.0318431i
\(591\) 4.72282 0.224976i 0.194271 0.00925426i
\(592\) 8.23479 + 8.63640i 0.338448 + 0.354954i
\(593\) −0.404340 + 2.09792i −0.0166043 + 0.0861511i −0.989286 0.145994i \(-0.953362\pi\)
0.972681 + 0.232145i \(0.0745743\pi\)
\(594\) 2.62940 0.772063i 0.107886 0.0316781i
\(595\) −19.9024 1.14810i −0.815917 0.0470676i
\(596\) 28.1691 4.05011i 1.15385 0.165899i
\(597\) 21.3138 12.3055i 0.872316 0.503632i
\(598\) 3.64282 + 0.283242i 0.148966 + 0.0115826i
\(599\) −4.45474 + 7.71583i −0.182016 + 0.315260i −0.942567 0.334018i \(-0.891595\pi\)
0.760551 + 0.649278i \(0.224929\pi\)
\(600\) −2.80287 3.56413i −0.114427 0.145505i
\(601\) −13.9064 6.35082i −0.567252 0.259055i 0.111079 0.993812i \(-0.464569\pi\)
−0.678331 + 0.734756i \(0.737297\pi\)
\(602\) 1.39214 + 0.573586i 0.0567396 + 0.0233776i
\(603\) 10.5799 + 9.16754i 0.430847 + 0.373331i
\(604\) −8.22244 33.8933i −0.334566 1.37910i
\(605\) −1.90262 39.9410i −0.0773526 1.62383i
\(606\) 2.00274 + 0.191238i 0.0813556 + 0.00776851i
\(607\) −19.2595 6.66577i −0.781718 0.270555i −0.0930779 0.995659i \(-0.529671\pi\)
−0.688640 + 0.725104i \(0.741792\pi\)
\(608\) −6.67980 4.29284i −0.270902 0.174098i
\(609\) 6.83141 + 2.08048i 0.276823 + 0.0843053i
\(610\) −0.540515 + 3.75937i −0.0218848 + 0.152212i
\(611\) −0.368044 + 7.72620i −0.0148895 + 0.312569i
\(612\) −4.69127 + 0.904169i −0.189633 + 0.0365489i
\(613\) −2.58448 + 27.0659i −0.104386 + 1.09318i 0.779795 + 0.626035i \(0.215324\pi\)
−0.884181 + 0.467145i \(0.845283\pi\)
\(614\) 2.16384 4.19726i 0.0873254 0.169388i
\(615\) 8.67041 + 2.54586i 0.349625 + 0.102659i
\(616\) −17.4072 20.5006i −0.701357 0.825994i
\(617\) 13.0944 + 44.5956i 0.527162 + 1.79535i 0.602412 + 0.798185i \(0.294206\pi\)
−0.0752495 + 0.997165i \(0.523975\pi\)
\(618\) −0.157013 1.64432i −0.00631600 0.0661442i
\(619\) 0.918937 + 0.367887i 0.0369352 + 0.0147866i 0.390057 0.920791i \(-0.372455\pi\)
−0.353121 + 0.935578i \(0.614880\pi\)
\(620\) 8.87282 + 5.12272i 0.356341 + 0.205734i
\(621\) 4.76535 0.539833i 0.191227 0.0216628i
\(622\) 7.30512i 0.292909i
\(623\) −31.7133 18.7360i −1.27057 0.750641i
\(624\) 1.37373 3.00805i 0.0549931 0.120418i
\(625\) −22.5775 21.5276i −0.903098 0.861102i
\(626\) −0.755177 2.18194i −0.0301829 0.0872078i
\(627\) −5.55106 + 5.29292i −0.221688 + 0.211379i
\(628\) 4.00875 + 2.06666i 0.159967 + 0.0824685i
\(629\) 12.9643 5.92060i 0.516920 0.236070i
\(630\) −1.79631 + 3.40024i −0.0715667 + 0.135469i
\(631\) 2.35941 3.67132i 0.0939267 0.146153i −0.791110 0.611674i \(-0.790497\pi\)
0.885037 + 0.465521i \(0.154133\pi\)
\(632\) 10.0027 + 24.9855i 0.397886 + 0.993871i
\(633\) 1.45405 1.84897i 0.0577933 0.0734901i
\(634\) 7.79592 4.01907i 0.309615 0.159618i
\(635\) 13.7905 39.8449i 0.547258 1.58120i
\(636\) −2.22901 4.88086i −0.0883861 0.193539i
\(637\) −9.56377 2.52416i −0.378930 0.100011i
\(638\) −2.08389 + 7.09707i −0.0825019 + 0.280976i
\(639\) −9.25732 1.78420i −0.366214 0.0705820i
\(640\) −7.31991 + 30.1731i −0.289345 + 1.19270i
\(641\) 6.05414 4.31113i 0.239124 0.170279i −0.454213 0.890893i \(-0.650079\pi\)
0.693337 + 0.720614i \(0.256140\pi\)
\(642\) −5.48203 + 4.31112i −0.216358 + 0.170146i
\(643\) 17.5059 0.690367 0.345183 0.938535i \(-0.387817\pi\)
0.345183 + 0.938535i \(0.387817\pi\)
\(644\) −10.9863 18.7000i −0.432921 0.736885i
\(645\) −2.84536 −0.112036
\(646\) −1.78766 + 1.40583i −0.0703344 + 0.0553116i
\(647\) −23.4107 + 16.6707i −0.920371 + 0.655393i −0.938810 0.344437i \(-0.888070\pi\)
0.0184383 + 0.999830i \(0.494131\pi\)
\(648\) −0.471506 + 1.94358i −0.0185225 + 0.0763509i
\(649\) −4.57854 0.882442i −0.179723 0.0346389i
\(650\) 0.486633 1.65732i 0.0190873 0.0650055i
\(651\) 0.617859 5.85022i 0.0242158 0.229288i
\(652\) 6.19578 + 13.5669i 0.242646 + 0.531320i
\(653\) 14.2680 41.2248i 0.558351 1.61325i −0.213149 0.977020i \(-0.568372\pi\)
0.771500 0.636230i \(-0.219507\pi\)
\(654\) 5.46921 2.81957i 0.213863 0.110254i
\(655\) 9.14392 11.6274i 0.357282 0.454321i
\(656\) −2.91561 7.28284i −0.113835 0.284347i
\(657\) −6.75868 + 10.5167i −0.263681 + 0.410296i
\(658\) −6.61113 + 4.15568i −0.257729 + 0.162005i
\(659\) 7.69511 3.51424i 0.299759 0.136895i −0.259858 0.965647i \(-0.583676\pi\)
0.559617 + 0.828752i \(0.310948\pi\)
\(660\) 20.8165 + 10.7316i 0.810280 + 0.417729i
\(661\) −18.7157 + 17.8454i −0.727956 + 0.694105i −0.960437 0.278496i \(-0.910164\pi\)
0.232481 + 0.972601i \(0.425316\pi\)
\(662\) −5.06644 14.6385i −0.196913 0.568942i
\(663\) −2.85843 2.72551i −0.111012 0.105850i
\(664\) 5.90159 12.9227i 0.229026 0.501497i
\(665\) 0.107878 10.7626i 0.00418332 0.417357i
\(666\) 2.74927i 0.106532i
\(667\) −5.72808 + 11.6082i −0.221792 + 0.449470i
\(668\) 15.9696 + 9.22007i 0.617883 + 0.356735i
\(669\) 13.2380 + 5.29968i 0.511809 + 0.204897i
\(670\) −1.93417 20.2555i −0.0747235 0.782539i
\(671\) −3.74172 12.7431i −0.144447 0.491943i
\(672\) 13.6953 2.49746i 0.528309 0.0963416i
\(673\) 25.7774 + 7.56892i 0.993645 + 0.291760i 0.737846 0.674969i \(-0.235843\pi\)
0.255799 + 0.966730i \(0.417661\pi\)
\(674\) 1.47693 2.86484i 0.0568890 0.110349i
\(675\) 0.215508 2.25690i 0.00829489 0.0868680i
\(676\) −18.4680 + 3.55942i −0.710308 + 0.136901i
\(677\) −2.22324 + 46.6716i −0.0854461 + 1.79373i 0.397010 + 0.917814i \(0.370048\pi\)
−0.482456 + 0.875920i \(0.660255\pi\)
\(678\) −1.58110 + 10.9968i −0.0607218 + 0.422330i
\(679\) 45.4642 10.5481i 1.74476 0.404801i
\(680\) 12.6772 + 8.14714i 0.486148 + 0.312429i
\(681\) 12.0968 + 4.18675i 0.463551 + 0.160437i
\(682\) 6.06564 + 0.579199i 0.232265 + 0.0221787i
\(683\) −1.08034 22.6792i −0.0413381 0.867794i −0.920374 0.391039i \(-0.872116\pi\)
0.879036 0.476755i \(-0.158187\pi\)
\(684\) −0.608126 2.50673i −0.0232523 0.0958473i
\(685\) −41.7160 36.1471i −1.59389 1.38111i
\(686\) −3.43090 9.37773i −0.130992 0.358043i
\(687\) 12.0259 + 5.49202i 0.458815 + 0.209534i
\(688\) 1.52693 + 1.94165i 0.0582137 + 0.0740248i
\(689\) 2.21788 3.84148i 0.0844945 0.146349i
\(690\) −5.55431 4.21187i −0.211449 0.160343i
\(691\) 32.2314 18.6088i 1.22614 0.707912i 0.259919 0.965630i \(-0.416304\pi\)
0.966220 + 0.257718i \(0.0829707\pi\)
\(692\) 5.42500 0.779998i 0.206228 0.0296511i
\(693\) 0.774446 13.4250i 0.0294188 0.509974i
\(694\) −8.46897 + 2.48671i −0.321478 + 0.0943943i
\(695\) −9.14839 + 47.4663i −0.347018 + 1.80050i
\(696\) −3.72512 3.90679i −0.141200 0.148086i
\(697\) −9.35875 + 0.445812i −0.354488 + 0.0168863i
\(698\) −0.710368 0.505851i −0.0268878 0.0191467i
\(699\) −14.5390 + 12.5981i −0.549915 + 0.476504i
\(700\) −9.72215 + 3.25613i −0.367463 + 0.123070i
\(701\) 19.9403 + 2.86698i 0.753134 + 0.108284i 0.508181 0.861250i \(-0.330318\pi\)
0.244954 + 0.969535i \(0.421227\pi\)
\(702\) −0.707298 + 0.283159i −0.0266952 + 0.0106872i
\(703\) 3.52597 + 6.83943i 0.132984 + 0.257954i
\(704\) −1.77330 9.20075i −0.0668337 0.346766i
\(705\) 8.55968 12.0204i 0.322376 0.452714i
\(706\) 7.51631 + 11.6956i 0.282880 + 0.440170i
\(707\) 4.19087 8.93854i 0.157614 0.336168i
\(708\) 1.02689 1.18510i 0.0385930 0.0445387i
\(709\) −12.6125 + 13.2277i −0.473674 + 0.496775i −0.916612 0.399777i \(-0.869088\pi\)
0.442938 + 0.896552i \(0.353936\pi\)
\(710\) 7.94853 + 11.1621i 0.298303 + 0.418908i
\(711\) −5.00147 + 12.4931i −0.187570 + 0.468527i
\(712\) 13.9217 + 24.1132i 0.521739 + 0.903679i
\(713\) 10.2828 + 2.82368i 0.385092 + 0.105747i
\(714\) 0.606971 3.94077i 0.0227153 0.147479i
\(715\) 2.75533 + 19.1637i 0.103044 + 0.716683i
\(716\) 15.6577 1.49513i 0.585155 0.0558755i
\(717\) 6.77517 + 1.64364i 0.253023 + 0.0613828i
\(718\) 11.1378 3.85482i 0.415658 0.143861i
\(719\) −4.72722 + 1.14681i −0.176295 + 0.0427688i −0.322935 0.946421i \(-0.604669\pi\)
0.146639 + 0.989190i \(0.453154\pi\)
\(720\) −5.30731 + 3.41080i −0.197792 + 0.127113i
\(721\) −7.85743 1.98979i −0.292626 0.0741036i
\(722\) 5.90451 + 6.81417i 0.219743 + 0.253597i
\(723\) −0.619552 0.0295129i −0.0230414 0.00109760i
\(724\) 23.1400 + 18.1975i 0.859990 + 0.676304i
\(725\) 4.81012 + 3.78272i 0.178643 + 0.140487i
\(726\) 7.98849 + 0.380538i 0.296481 + 0.0141231i
\(727\) 4.70871 + 5.43414i 0.174636 + 0.201541i 0.836319 0.548243i \(-0.184703\pi\)
−0.661683 + 0.749784i \(0.730157\pi\)
\(728\) 5.35931 + 5.21364i 0.198629 + 0.193230i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 17.6582 4.28383i 0.653559 0.158552i
\(731\) 2.78793 0.964911i 0.103115 0.0356885i
\(732\) 4.34056 + 1.05301i 0.160432 + 0.0389203i
\(733\) 49.6566 4.74163i 1.83411 0.175136i 0.880075 0.474835i \(-0.157492\pi\)
0.954034 + 0.299699i \(0.0968861\pi\)
\(734\) 2.70458 + 18.8107i 0.0998277 + 0.694317i
\(735\) 12.7457 + 13.9154i 0.470131 + 0.513278i
\(736\) 0.444159 + 25.2304i 0.0163719 + 0.930004i
\(737\) 35.5763 + 61.6200i 1.31047 + 2.26980i
\(738\) −0.671727 + 1.67789i −0.0247266 + 0.0617641i
\(739\) 17.2685 + 24.2503i 0.635234 + 0.892061i 0.999226 0.0393410i \(-0.0125258\pi\)
−0.363992 + 0.931402i \(0.618586\pi\)
\(740\) 16.2139 17.0046i 0.596033 0.625102i
\(741\) 1.39641 1.61154i 0.0512983 0.0592014i
\(742\) 4.46184 0.380967i 0.163799 0.0139857i
\(743\) 2.21637 + 3.44874i 0.0813107 + 0.126522i 0.879527 0.475849i \(-0.157859\pi\)
−0.798216 + 0.602371i \(0.794223\pi\)
\(744\) −2.57942 + 3.62229i −0.0945662 + 0.132800i
\(745\) −8.49418 44.0720i −0.311202 1.61467i
\(746\) 6.37250 + 12.3609i 0.233314 + 0.452566i
\(747\) 6.59458 2.64007i 0.241283 0.0965952i
\(748\) −24.0356 3.45580i −0.878828 0.126356i
\(749\) 10.8683 + 32.4507i 0.397121 + 1.18572i
\(750\) 3.00194 2.60120i 0.109615 0.0949823i
\(751\) 10.7391 + 7.64727i 0.391875 + 0.279053i 0.758964 0.651133i \(-0.225706\pi\)
−0.367089 + 0.930186i \(0.619645\pi\)
\(752\) −12.7961 + 0.609553i −0.466625 + 0.0222281i
\(753\) −5.59199 5.86471i −0.203784 0.213722i
\(754\) 0.389173 2.01922i 0.0141728 0.0735357i
\(755\) −52.7765 + 15.4966i −1.92073 + 0.563978i
\(756\) 3.77976 + 2.48298i 0.137468 + 0.0903052i
\(757\) −16.1673 + 2.32450i −0.587610 + 0.0844855i −0.429706 0.902969i \(-0.641383\pi\)
−0.157904 + 0.987454i \(0.550474\pi\)
\(758\) 7.89948 4.56077i 0.286922 0.165655i
\(759\) 23.7857 + 5.32887i 0.863368 + 0.193426i
\(760\) −4.06800 + 7.04599i −0.147562 + 0.255585i
\(761\) 19.4837 + 24.7755i 0.706283 + 0.898111i 0.998299 0.0583020i \(-0.0185686\pi\)
−0.292016 + 0.956413i \(0.594326\pi\)
\(762\) 7.67101 + 3.50323i 0.277891 + 0.126909i
\(763\) −3.99732 29.9284i −0.144713 1.08348i
\(764\) 1.37630 + 1.19257i 0.0497926 + 0.0431455i
\(765\) 1.77642 + 7.32249i 0.0642265 + 0.264745i
\(766\) 0.720788 + 15.1312i 0.0260431 + 0.546713i
\(767\) 1.29046 + 0.123224i 0.0465956 + 0.00444934i
\(768\) −2.38402 0.825119i −0.0860261 0.0297739i
\(769\) −22.0898 14.1963i −0.796579 0.511930i 0.0779186 0.996960i \(-0.475173\pi\)
−0.874498 + 0.485029i \(0.838809\pi\)
\(770\) −14.2802 + 13.3455i −0.514624 + 0.480938i
\(771\) −0.175870 + 1.22321i −0.00633382 + 0.0440527i
\(772\) 0.386863 8.12125i 0.0139235 0.292290i
\(773\) −14.5742 + 2.80894i