Properties

Label 483.2.bf.a.61.15
Level $483$
Weight $2$
Character 483.61
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 61.15
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.15

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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 0.456981 0.889476i \(-0.348931\pi\)
−0.756666 + 0.653801i \(0.773173\pi\)
\(3\) 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 0.440895 0.897558i \(-0.354661\pi\)
0.742902 + 0.669400i \(0.233449\pi\)
\(6\) −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 0.978742 + 0.205094i \(0.0657500\pi\)
−0.0314346 + 0.999506i \(0.510008\pi\)
\(12\) 0.635280 1.58685i 0.183389 0.458085i
\(13\) −0.763946 1.18872i −0.211881 0.329693i 0.719004 0.695006i \(-0.244598\pi\)
−0.930885 + 0.365313i \(0.880962\pi\)
\(14\) −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 0.403916 0.914796i \(-0.367649\pi\)
−0.894541 + 0.446987i \(0.852497\pi\)
\(18\) 0.176346 0.509519i 0.0415652 0.120095i
\(19\) −1.09217 + 1.04138i −0.250560 + 0.238908i −0.804941 0.593354i \(-0.797803\pi\)
0.554382 + 0.832263i \(0.312955\pi\)
\(20\) −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 −0.0322869 0.999479i \(-0.510279\pi\)
0.513197 + 0.858271i \(0.328461\pi\)
\(30\) −0.666026 1.29191i −0.121599 0.235869i
\(31\) 0.211355 + 2.21341i 0.0379604 + 0.397540i 0.994406 + 0.105628i \(0.0336853\pi\)
−0.956445 + 0.291912i \(0.905709\pi\)
\(32\) 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 −0.693039 0.720900i \(-0.743729\pi\)
−0.0991344 + 0.995074i \(0.531607\pi\)
\(38\) 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 −0.434208 0.900813i \(-0.642972\pi\)
0.829849 + 0.557988i \(0.188426\pi\)
\(42\) −1.13010 0.870532i −0.174378 0.134326i
\(43\) −0.960109 + 0.438467i −0.146415 + 0.0668656i −0.487275 0.873249i \(-0.662009\pi\)
0.340860 + 0.940114i \(0.389282\pi\)
\(44\) 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 0.804170 0.594399i \(-0.202610\pi\)
−0.112680 + 0.993631i \(0.535943\pi\)
\(48\) −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 −0.168892 0.985635i \(-0.554019\pi\)
−0.261817 + 0.965117i \(0.584322\pi\)
\(54\) 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 −0.914613 0.404329i \(-0.867505\pi\)
0.859885 + 0.510488i \(0.170535\pi\)
\(60\) 0.872042 4.52458i 0.112580 0.584121i
\(61\) 1.51571 + 2.12852i 0.194067 + 0.272530i 0.900131 0.435619i \(-0.143470\pi\)
−0.706064 + 0.708148i \(0.749531\pi\)
\(62\) 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 −0.799089 0.601213i \(-0.794684\pi\)
0.163443 0.986553i \(-0.447740\pi\)
\(68\) −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 0.740825 + 0.671698i \(0.234435\pi\)
−0.900056 + 0.435775i \(0.856474\pi\)
\(72\) −1.99090 0.190107i −0.234629 0.0224044i
\(73\) −12.1488 + 2.94728i −1.42192 + 0.344953i −0.871688 0.490062i \(-0.836974\pi\)
−0.550228 + 0.835015i \(0.685459\pi\)
\(74\) 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 −0.787249 0.616635i \(-0.788495\pi\)
−0.725069 + 0.688676i \(0.758192\pi\)
\(80\) −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 −0.440655 0.897676i \(-0.645254\pi\)
0.951251 + 0.308417i \(0.0997994\pi\)
\(84\) −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 −0.670370 0.742027i \(-0.733864\pi\)
−0.798685 + 0.601750i \(0.794471\pi\)
\(90\) 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 0.922740 + 0.385424i \(0.125945\pi\)
0.250181 + 0.968199i \(0.419510\pi\)
\(98\) −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 −0.999993 0.00367470i \(-0.998830\pi\)
0.929727 + 0.368248i \(0.120042\pi\)
\(102\) −0.690563 + 1.33950i −0.0683759 + 0.132631i
\(103\) −2.84412 1.13862i −0.280240 0.112191i 0.227285 0.973828i \(-0.427015\pi\)
−0.507525 + 0.861637i \(0.669439\pi\)
\(104\) 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 0.0565964 0.998397i \(-0.481975\pi\)
0.961997 + 0.273060i \(0.0880358\pi\)
\(108\) 1.70736 + 0.0813314i 0.164290 + 0.00782612i
\(109\) −7.87541 + 8.25950i −0.754328 + 0.791116i −0.983237 0.182331i \(-0.941636\pi\)
0.228909 + 0.973448i \(0.426484\pi\)
\(110\) −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 0.994382 0.105850i \(-0.0337565\pi\)
0.924281 + 0.381712i \(0.124666\pi\)
\(114\) 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 0.811456 + 0.584413i \(0.198675\pi\)
−0.613938 + 0.789354i \(0.710416\pi\)
\(128\) −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 0.972762 0.231805i \(-0.0744632\pi\)
−0.753080 + 0.657929i \(0.771433\pi\)
\(132\) 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 −0.515154 + 0.857098i \(0.672265\pi\)
−0.999845 + 0.0175872i \(0.994402\pi\)
\(138\) −2.31884 + 1.14424i −0.197392 + 0.0974040i
\(139\) 17.9318i 1.52095i −0.649365 0.760477i \(-0.724965\pi\)
0.649365 0.760477i \(-0.275035\pi\)
\(140\) −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 0.425505 + 0.904956i \(0.360097\pi\)
−0.932444 + 0.361316i \(0.882328\pi\)
\(150\) −0.755634 0.960866i −0.0616972 0.0784544i
\(151\) −18.1358 9.34967i −1.47587 0.760865i −0.482510 0.875890i \(-0.660275\pi\)
−0.993363 + 0.115025i \(0.963305\pi\)
\(152\) −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 0.991233 0.132125i \(-0.0421801\pi\)
−0.941586 + 0.336772i \(0.890665\pi\)
\(158\) 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 0.849558 0.527494i \(-0.176868\pi\)
−0.312334 + 0.949972i \(0.601111\pi\)
\(164\) −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 0.989507 + 0.144483i \(0.0461519\pi\)
−0.754313 + 0.656515i \(0.772030\pi\)
\(168\) −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 −0.966748 0.255731i \(-0.917684\pi\)
0.876143 + 0.482051i \(0.160108\pi\)
\(174\) −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 0.774887 + 0.632100i \(0.217807\pi\)
−0.999840 + 0.0178611i \(0.994314\pi\)
\(180\) 3.33486 3.17978i 0.248566 0.237007i
\(181\) 7.15446 + 15.6661i 0.531787 + 1.16445i 0.964781 + 0.263054i \(0.0847297\pi\)
−0.432994 + 0.901397i \(0.642543\pi\)
\(182\) 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 0.905837 0.423626i \(-0.139243\pi\)
−0.870512 + 0.492146i \(0.836212\pi\)
\(192\) 0.175241 + 1.83521i 0.0126469 + 0.132445i
\(193\) −4.67066 0.900196i −0.336202 0.0647976i 0.0183566 0.999832i \(-0.494157\pi\)
−0.354558 + 0.935034i \(0.615369\pi\)
\(194\) −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 −0.391221 0.920297i \(-0.627947\pi\)
0.674612 + 0.738172i \(0.264311\pi\)
\(198\) 2.58969 0.896300i 0.184041 0.0636973i
\(199\) 24.4996 2.33943i 1.73673 0.165838i 0.821889 0.569647i \(-0.192920\pi\)
0.914843 + 0.403809i \(0.132314\pi\)
\(200\) −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 0.358495 0.933532i \(-0.383290\pi\)
−0.203120 + 0.979154i \(0.565108\pi\)
\(212\) 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 −0.481056 0.876690i \(-0.659747\pi\)
0.997303 + 0.0733944i \(0.0233832\pi\)
\(224\) 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 −0.491006 0.871156i \(-0.663371\pi\)
0.983836 + 0.179074i \(0.0573101\pi\)
\(228\) 0.958682 + 2.39467i 0.0634902 + 0.158591i
\(229\) 6.61029 11.4494i 0.436820 0.756595i −0.560622 0.828072i \(-0.689438\pi\)
0.997442 + 0.0714772i \(0.0227713\pi\)
\(230\) −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 −0.553495 0.832853i \(-0.686706\pi\)
−0.701111 + 0.713053i \(0.747312\pi\)
\(234\) −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 −0.588629 0.808403i \(-0.700332\pi\)
0.883946 + 0.467590i \(0.154878\pi\)
\(240\) −6.30166 + 0.300185i −0.406771 + 0.0193769i
\(241\) −0.487553 + 0.383416i −0.0314060 + 0.0246980i −0.633739 0.773547i \(-0.718481\pi\)
0.602333 + 0.798245i \(0.294238\pi\)
\(242\) 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 0.920509 + 0.390720i \(0.127774\pi\)
−0.993301 + 0.115556i \(0.963135\pi\)
\(252\) 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 0.696599 0.717461i \(-0.254696\pi\)
−0.749794 + 0.661671i \(0.769847\pi\)
\(258\) 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 −0.410338 0.911934i \(-0.634589\pi\)
0.980858 0.194722i \(-0.0623805\pi\)
\(264\) −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 0.441248 0.897385i \(-0.354536\pi\)
0.353948 + 0.935265i \(0.384839\pi\)
\(270\) 1.00302 1.05194i 0.0610419 0.0640189i
\(271\) 1.04470 + 5.42043i 0.0634612 + 0.329268i 0.999759 0.0219383i \(-0.00698374\pi\)
−0.936298 + 0.351206i \(0.885772\pi\)
\(272\) 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 −0.863197 0.504868i \(-0.831541\pi\)
−0.00563027 0.999984i \(-0.501792\pi\)
\(278\) −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 −0.656977 0.753911i \(-0.728165\pi\)
0.652740 + 0.757582i \(0.273620\pi\)
\(282\) 0.695827 2.86824i 0.0414359 0.170801i
\(283\) 1.39254 29.2331i 0.0827782 1.73773i −0.451370 0.892337i \(-0.649065\pi\)
0.534148 0.845391i \(-0.320632\pi\)
\(284\) 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 0.462483 0.886628i \(-0.346959\pi\)
0.868413 + 0.495842i \(0.165140\pi\)
\(294\) −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 0.174888 0.984588i \(-0.444044\pi\)
−0.629575 + 0.776940i \(0.716771\pi\)
\(308\) 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 0.963202 0.268777i \(-0.0866195\pi\)
−0.488284 + 0.872685i \(0.662377\pi\)
\(312\) 2.51186 + 1.29495i 0.142206 + 0.0733122i
\(313\) −1.40062 4.04682i −0.0791677 0.228740i 0.898471 0.439034i \(-0.144679\pi\)
−0.977638 + 0.210294i \(0.932558\pi\)
\(314\) 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 −0.616927 0.787021i \(-0.711623\pi\)
−0.280229 + 0.959933i \(0.590410\pi\)
\(318\) 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 −0.838150 0.545440i \(-0.816362\pi\)
0.321661 0.946855i \(-0.395759\pi\)
\(332\) −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 0.261766 0.965131i \(-0.415695\pi\)
−0.557977 + 0.829856i \(0.688422\pi\)
\(338\) −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 0.0740697 0.997253i \(-0.476401\pi\)
0.741790 + 0.670632i \(0.233977\pi\)
\(348\) 0.438548 4.59269i 0.0235087 0.246194i
\(349\) 0.455681 1.55191i 0.0243920 0.0830716i −0.946398 0.323004i \(-0.895307\pi\)
0.970790 + 0.239933i \(0.0771254\pi\)
\(350\) −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 0.789347 + 0.613947i \(0.210419\pi\)
−0.658893 + 0.752237i \(0.728975\pi\)
\(354\) 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 −0.812287 0.583258i \(-0.801778\pi\)
−0.277955 + 0.960594i \(0.589657\pi\)
\(360\) −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 0.799509 + 0.600654i \(0.205093\pi\)
0.120427 + 0.992722i \(0.461574\pi\)
\(368\) 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 0.857303 + 0.514812i \(0.172138\pi\)
−0.604556 + 0.796562i \(0.706650\pi\)
\(374\) −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 −0.558256 0.829668i \(-0.688529\pi\)
−0.301899 + 0.953340i \(0.597620\pi\)
\(380\) 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 0.983511 + 0.180849i \(0.0578845\pi\)
−0.150773 + 0.988568i \(0.548176\pi\)
\(384\) 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 0.931829 0.362897i \(-0.118212\pi\)
−0.924824 + 0.380395i \(0.875788\pi\)
\(390\) −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 −0.612841 0.790206i \(-0.709973\pi\)
−0.906808 + 0.421543i \(0.861489\pi\)
\(398\) −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 −0.524768 0.851245i \(-0.675848\pi\)
−0.441476 + 0.897273i \(0.645545\pi\)
\(402\) −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 0.0687774 0.997632i \(-0.478090\pi\)
−0.562633 + 0.826707i \(0.690211\pi\)
\(410\) −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 0.773876 0.633337i \(-0.218315\pi\)
−0.737024 + 0.675866i \(0.763770\pi\)
\(420\) −5.17532 11.0382i −0.252530 0.538610i
\(421\) −10.4940 + 16.3289i −0.511445 + 0.795823i −0.996920 0.0784271i \(-0.975010\pi\)
0.485475 + 0.874250i \(0.338647\pi\)
\(422\) −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 −0.909971 0.414672i \(-0.863896\pi\)
0.457501 + 0.889209i \(0.348745\pi\)
\(432\) −0.442898 2.29797i −0.0213089 0.110561i
\(433\) 22.1613 + 6.50715i 1.06500 + 0.312714i 0.766865 0.641809i \(-0.221816\pi\)
0.298140 + 0.954522i \(0.403634\pi\)
\(434\) −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 0.272370 0.962192i \(-0.412192\pi\)
0.870856 0.491538i \(-0.163565\pi\)
\(440\) −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 −0.866088 0.499891i \(-0.833373\pi\)
0.998873 0.0474562i \(-0.0151115\pi\)
\(444\) −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 −0.999847 0.0174892i \(-0.994433\pi\)
0.954419 0.298470i \(-0.0964764\pi\)
\(450\) −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 −0.816724 0.577028i \(-0.804212\pi\)
0.911168 0.412035i \(-0.135182\pi\)
\(458\) −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 \(-0.774097\pi\)
0.758560 0.651603i \(-0.225903\pi\)
\(462\) −0.0726701 7.25008i −0.00338092 0.337304i
\(463\) −5.43171 11.8938i −0.252433 0.552751i 0.740413 0.672152i \(-0.234630\pi\)
−0.992846 + 0.119401i \(0.961903\pi\)
\(464\) −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 0.511965 0.859007i \(-0.328918\pi\)
0.996695 + 0.0812386i \(0.0258876\pi\)
\(468\) −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 −0.999810 0.0194892i \(-0.993796\pi\)
0.879736 0.475462i \(-0.157719\pi\)
\(480\) 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 −0.910346 0.413847i \(-0.864185\pi\)
0.619512 0.784987i \(-0.287330\pi\)
\(488\) −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 −0.780735 0.624862i \(-0.785155\pi\)
0.983512 + 0.180843i \(0.0578826\pi\)
\(492\) −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 −0.278324 0.960487i \(-0.589779\pi\)
0.620946 + 0.783853i \(0.286749\pi\)
\(500\) 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 −0.731282 0.682075i \(-0.761078\pi\)
−0.0365902 0.999330i \(-0.511650\pi\)
\(504\) −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 0.790533 + 0.612419i \(0.209803\pi\)
−0.892148 + 0.451742i \(0.850803\pi\)
\(510\) −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 0.673528 0.739162i \(-0.264778\pi\)
0.801243 + 0.598338i \(0.204172\pi\)
\(522\) 0.0692455 1.45364i 0.00303080 0.0636242i
\(523\) 5.54325 22.8496i 0.242390 0.999143i −0.712379 0.701795i \(-0.752382\pi\)
0.954769 0.297349i \(-0.0961024\pi\)
\(524\) 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 0.683656 0.729804i \(-0.260389\pi\)
−0.00883736 + 0.999961i \(0.502813\pi\)
\(542\) 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 0.313916 0.949451i \(-0.398359\pi\)
−0.984462 + 0.175600i \(0.943814\pi\)
\(548\) 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 0.371077 0.928602i \(-0.378988\pi\)
−0.282337 + 0.959315i \(0.591110\pi\)
\(558\) 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 −0.998469 0.0553220i \(-0.982381\pi\)
−0.181635 + 0.983366i \(0.558139\pi\)
\(564\) 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 0.298807 0.954314i \(-0.403411\pi\)
−0.171702 + 0.985149i \(0.554927\pi\)
\(570\) 2.07278 + 0.717395i 0.0868190 + 0.0300484i
\(571\) −21.2005 + 5.14319i −0.887214 + 0.215236i −0.653370 0.757038i \(-0.726646\pi\)
−0.233844 + 0.972274i \(0.575130\pi\)
\(572\) −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 0.874796 0.484492i \(-0.160996\pi\)
−0.967457 + 0.253035i \(0.918571\pi\)
\(578\) −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 0.578674 0.815559i \(-0.303570\pi\)
0.785003 + 0.619492i \(0.212661\pi\)
\(588\) −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 0.972681 0.232145i \(-0.0745743\pi\)
−0.989286 + 0.145994i \(0.953362\pi\)
\(594\) 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 0.760551 0.649278i \(-0.224929\pi\)
−0.942567 + 0.334018i \(0.891595\pi\)
\(600\) −2.80287 + 3.56413i −0.114427 + 0.145505i
\(601\) −13.9064 + 6.35082i −0.567252 + 0.259055i −0.678331 0.734756i \(-0.737297\pi\)
0.111079 + 0.993812i \(0.464569\pi\)
\(602\) 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 −0.688640 0.725104i \(-0.741792\pi\)
−0.0930779 + 0.995659i \(0.529671\pi\)
\(608\) −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 −0.884181 0.467145i \(-0.845283\pi\)
0.779795 0.626035i \(-0.215324\pi\)
\(614\) 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 −0.0752495 0.997165i \(-0.523975\pi\)
0.602412 0.798185i \(-0.294206\pi\)
\(618\) −0.157013 + 1.64432i −0.00631600 + 0.0661442i
\(619\) 0.918937 0.367887i 0.0369352 0.0147866i −0.353121 0.935578i \(-0.614880\pi\)
0.390057 + 0.920791i \(0.372455\pi\)
\(620\) 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 0.885037 0.465521i \(-0.154133\pi\)
−0.791110 + 0.611674i \(0.790497\pi\)
\(632\) 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 0.693337 0.720614i \(-0.256140\pi\)
−0.454213 + 0.890893i \(0.650079\pi\)
\(642\) −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 0.0184383 0.999830i \(-0.494131\pi\)
−0.938810 + 0.344437i \(0.888070\pi\)
\(648\) −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 0.771500 + 0.636230i \(0.219507\pi\)
−0.213149 + 0.977020i \(0.568372\pi\)
\(654\) 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 0.559617 0.828752i \(-0.310948\pi\)
−0.259858 + 0.965647i \(0.583676\pi\)
\(660\) 20.8165 10.7316i 0.810280 0.417729i
\(661\) −18.7157 17.8454i −0.727956 0.694105i 0.232481 0.972601i \(-0.425316\pi\)
−0.960437 + 0.278496i \(0.910164\pi\)
\(662\) −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 0.255799 0.966730i \(-0.417661\pi\)
0.737846 + 0.674969i \(0.235843\pi\)
\(674\) 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 −0.482456 0.875920i \(-0.660255\pi\)
0.397010 0.917814i \(-0.370048\pi\)
\(678\) −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 0.879036 + 0.476755i \(0.158187\pi\)
−0.920374 + 0.391039i \(0.872116\pi\)
\(684\) −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 0.966220 0.257718i \(-0.0829707\pi\)
0.259919 + 0.965630i \(0.416304\pi\)
\(692\) 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 0.244954 0.969535i \(-0.421227\pi\)
0.508181 + 0.861250i \(0.330318\pi\)
\(702\) −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 0.442938 0.896552i \(-0.353936\pi\)
−0.916612 + 0.399777i \(0.869088\pi\)
\(710\) 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 0.146639 0.989190i \(-0.453154\pi\)
−0.322935 + 0.946421i \(0.604669\pi\)
\(720\) −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 −0.661683 0.749784i \(-0.730157\pi\)
0.836319 + 0.548243i \(0.184703\pi\)
\(728\) 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 0.954034 0.299699i \(-0.0968861\pi\)
0.880075 + 0.474835i \(0.157492\pi\)
\(734\) 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 −0.363992 0.931402i \(-0.618586\pi\)
0.999226 + 0.0393410i \(0.0125258\pi\)
\(740\) 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 −0.798216 0.602371i \(-0.794223\pi\)
0.879527 + 0.475849i \(0.157859\pi\)
\(744\) −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 −0.367089 0.930186i \(-0.619645\pi\)
0.758964 + 0.651133i \(0.225706\pi\)
\(752\) −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 −0.157904 0.987454i \(-0.550474\pi\)
−0.429706 + 0.902969i \(0.641383\pi\)
\(758\) 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 −0.292016 0.956413i \(-0.594326\pi\)
0.998299 + 0.0583020i \(0.0185686\pi\)
\(762\) 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 −0.874498 0.485029i \(-0.838809\pi\)
0.0779186 + 0.996960i \(0.475173\pi\)
\(770\) −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 −0.524197