Properties

Label 690.2.w.a.37.6
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.6
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.a.373.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.22914 - 0.175901i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-0.0297310 - 0.0797118i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.22914 - 0.175901i) q^{5} +(0.841254 + 0.540641i) q^{6} +(-0.0297310 - 0.0797118i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-2.04077 - 0.913927i) q^{10} +(0.788752 - 2.68624i) q^{11} +(-0.479249 - 0.877679i) q^{12} +(-5.71318 - 2.13090i) q^{13} +(-0.0121076 + 0.0842099i) q^{14} +(-2.23601 + 0.0164283i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(0.0657116 - 0.0142947i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(5.60698 - 3.60339i) q^{19} +(1.35314 + 1.78017i) q^{20} +(0.0239686 + 0.0816297i) q^{21} +(-1.97965 + 1.97965i) q^{22} +(3.88377 + 2.81360i) q^{23} +1.00000i q^{24} +(4.93812 - 0.784217i) q^{25} +(3.99310 + 4.60828i) q^{26} +(-0.977147 - 0.212565i) q^{27} +(0.0509840 - 0.0681067i) q^{28} +(-3.84568 + 5.98399i) q^{29} +(1.97037 + 1.05719i) q^{30} +(0.972701 - 1.12256i) q^{31} +(0.800541 - 0.599278i) q^{32} +(-0.978376 + 2.62313i) q^{33} +(-0.0645244 - 0.0189461i) q^{34} +(-0.0802958 - 0.172459i) q^{35} +(0.415415 + 0.909632i) q^{36} +(-3.64531 - 4.86956i) q^{37} +(-6.64805 + 0.475478i) q^{38} +(5.54660 + 2.53305i) q^{39} +(-0.334478 - 2.21091i) q^{40} +(-1.78243 - 12.3971i) q^{41} +(0.0180842 - 0.0831316i) q^{42} +(0.916111 - 12.8089i) q^{43} +(2.68624 - 0.788752i) q^{44} +(2.23148 + 0.143129i) q^{45} +(-2.06029 - 4.33073i) q^{46} +(6.49723 + 6.49723i) q^{47} +(0.479249 - 0.877679i) q^{48} +(5.28478 - 4.57929i) q^{49} +(-4.70992 - 1.67830i) q^{50} +(-0.0665640 + 0.00957046i) q^{51} +(-1.29615 - 5.95828i) q^{52} +(-5.21912 + 1.94663i) q^{53} +(0.755750 + 0.654861i) q^{54} +(1.28572 - 6.12675i) q^{55} +(-0.0773877 + 0.0353418i) q^{56} +(-5.84976 + 3.19421i) q^{57} +(6.24309 - 3.40899i) q^{58} +(4.36443 - 1.99317i) q^{59} +(-1.22270 - 1.87217i) q^{60} +(-2.02274 - 1.75271i) q^{61} +(-1.39170 + 0.519078i) q^{62} +(-0.0180842 - 0.0831316i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-13.1103 - 3.74513i) q^{65} +(2.11583 - 1.83338i) q^{66} +(-5.20331 + 9.52914i) q^{67} +(0.0475519 + 0.0475519i) q^{68} +(-3.67316 - 3.08349i) q^{69} +(-0.0121768 + 0.189845i) q^{70} +(6.33528 - 1.86021i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(2.76849 - 12.7266i) q^{73} +(0.865678 + 6.02092i) q^{74} +(-4.98148 + 0.429938i) q^{75} +(6.06273 + 2.76875i) q^{76} +(-0.237575 + 0.0169917i) q^{77} +(-3.65418 - 4.88141i) q^{78} +(-1.37502 - 3.01087i) q^{79} +(-0.766012 + 2.10077i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-4.37689 + 11.7349i) q^{82} +(7.95205 - 5.95283i) q^{83} +(-0.0557128 + 0.0642960i) q^{84} +(0.143966 - 0.0434236i) q^{85} +(-6.94271 + 10.8031i) q^{86} +(4.26277 - 5.69440i) q^{87} +(-2.73567 - 0.595108i) q^{88} +(7.67600 + 8.85857i) q^{89} +(-1.88993 - 1.19506i) q^{90} +0.518761i q^{91} +(-0.267224 + 4.78838i) q^{92} +(-1.05030 + 1.05030i) q^{93} +(-2.58869 - 8.81627i) q^{94} +(11.8649 - 9.01873i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(-9.24984 - 6.92434i) q^{97} +(-6.83296 + 1.48642i) q^{98} +(1.16302 - 2.54665i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) −0.997452 0.0713392i −0.575879 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 2.22914 0.175901i 0.996901 0.0786655i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) −0.0297310 0.0797118i −0.0112372 0.0301282i 0.931210 0.364483i \(-0.118754\pi\)
−0.942447 + 0.334355i \(0.891482\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −2.04077 0.913927i −0.645348 0.289009i
\(11\) 0.788752 2.68624i 0.237818 0.809932i −0.750936 0.660376i \(-0.770397\pi\)
0.988753 0.149557i \(-0.0477847\pi\)
\(12\) −0.479249 0.877679i −0.138347 0.253364i
\(13\) −5.71318 2.13090i −1.58455 0.591007i −0.605719 0.795678i \(-0.707115\pi\)
−0.978831 + 0.204672i \(0.934387\pi\)
\(14\) −0.0121076 + 0.0842099i −0.00323588 + 0.0225060i
\(15\) −2.23601 + 0.0164283i −0.577335 + 0.00424177i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 0.0657116 0.0142947i 0.0159374 0.00346697i −0.204590 0.978848i \(-0.565586\pi\)
0.220527 + 0.975381i \(0.429222\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) 5.60698 3.60339i 1.28633 0.826674i 0.294676 0.955597i \(-0.404788\pi\)
0.991655 + 0.128923i \(0.0411521\pi\)
\(20\) 1.35314 + 1.78017i 0.302572 + 0.398058i
\(21\) 0.0239686 + 0.0816297i 0.00523038 + 0.0178131i
\(22\) −1.97965 + 1.97965i −0.422063 + 0.422063i
\(23\) 3.88377 + 2.81360i 0.809822 + 0.586676i
\(24\) 1.00000i 0.204124i
\(25\) 4.93812 0.784217i 0.987623 0.156843i
\(26\) 3.99310 + 4.60828i 0.783111 + 0.903759i
\(27\) −0.977147 0.212565i −0.188052 0.0409082i
\(28\) 0.0509840 0.0681067i 0.00963508 0.0128710i
\(29\) −3.84568 + 5.98399i −0.714125 + 1.11120i 0.274615 + 0.961554i \(0.411450\pi\)
−0.988740 + 0.149645i \(0.952187\pi\)
\(30\) 1.97037 + 1.05719i 0.359739 + 0.193015i
\(31\) 0.972701 1.12256i 0.174702 0.201617i −0.661645 0.749817i \(-0.730141\pi\)
0.836347 + 0.548200i \(0.184687\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) −0.978376 + 2.62313i −0.170313 + 0.456628i
\(34\) −0.0645244 0.0189461i −0.0110659 0.00324923i
\(35\) −0.0802958 0.172459i −0.0135725 0.0291509i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) −3.64531 4.86956i −0.599285 0.800551i 0.393644 0.919263i \(-0.371214\pi\)
−0.992929 + 0.118712i \(0.962123\pi\)
\(38\) −6.64805 + 0.475478i −1.07846 + 0.0771327i
\(39\) 5.54660 + 2.53305i 0.888167 + 0.405612i
\(40\) −0.334478 2.21091i −0.0528856 0.349576i
\(41\) −1.78243 12.3971i −0.278369 1.93610i −0.345645 0.938366i \(-0.612340\pi\)
0.0672754 0.997734i \(-0.478569\pi\)
\(42\) 0.0180842 0.0831316i 0.00279045 0.0128275i
\(43\) 0.916111 12.8089i 0.139706 1.95334i −0.132698 0.991157i \(-0.542364\pi\)
0.272403 0.962183i \(-0.412182\pi\)
\(44\) 2.68624 0.788752i 0.404966 0.118909i
\(45\) 2.23148 + 0.143129i 0.332650 + 0.0213363i
\(46\) −2.06029 4.33073i −0.303773 0.638531i
\(47\) 6.49723 + 6.49723i 0.947718 + 0.947718i 0.998700 0.0509817i \(-0.0162350\pi\)
−0.0509817 + 0.998700i \(0.516235\pi\)
\(48\) 0.479249 0.877679i 0.0691736 0.126682i
\(49\) 5.28478 4.57929i 0.754968 0.654184i
\(50\) −4.70992 1.67830i −0.666083 0.237347i
\(51\) −0.0665640 + 0.00957046i −0.00932082 + 0.00134013i
\(52\) −1.29615 5.95828i −0.179743 0.826265i
\(53\) −5.21912 + 1.94663i −0.716901 + 0.267390i −0.681330 0.731977i \(-0.738598\pi\)
−0.0355718 + 0.999367i \(0.511325\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) 1.28572 6.12675i 0.173367 0.826130i
\(56\) −0.0773877 + 0.0353418i −0.0103414 + 0.00472274i
\(57\) −5.84976 + 3.19421i −0.774820 + 0.423084i
\(58\) 6.24309 3.40899i 0.819758 0.447622i
\(59\) 4.36443 1.99317i 0.568200 0.259488i −0.110534 0.993872i \(-0.535256\pi\)
0.678734 + 0.734384i \(0.262529\pi\)
\(60\) −1.22270 1.87217i −0.157850 0.241696i
\(61\) −2.02274 1.75271i −0.258985 0.224412i 0.515684 0.856779i \(-0.327538\pi\)
−0.774669 + 0.632367i \(0.782083\pi\)
\(62\) −1.39170 + 0.519078i −0.176746 + 0.0659230i
\(63\) −0.0180842 0.0831316i −0.00227839 0.0104736i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −13.1103 3.74513i −1.62613 0.464526i
\(66\) 2.11583 1.83338i 0.260441 0.225673i
\(67\) −5.20331 + 9.52914i −0.635685 + 1.16417i 0.339042 + 0.940771i \(0.389897\pi\)
−0.974727 + 0.223399i \(0.928285\pi\)
\(68\) 0.0475519 + 0.0475519i 0.00576651 + 0.00576651i
\(69\) −3.67316 3.08349i −0.442196 0.371209i
\(70\) −0.0121768 + 0.189845i −0.00145540 + 0.0226908i
\(71\) 6.33528 1.86021i 0.751860 0.220766i 0.116722 0.993165i \(-0.462761\pi\)
0.635138 + 0.772399i \(0.280943\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 2.76849 12.7266i 0.324027 1.48953i −0.470553 0.882372i \(-0.655946\pi\)
0.794581 0.607159i \(-0.207691\pi\)
\(74\) 0.865678 + 6.02092i 0.100633 + 0.699918i
\(75\) −4.98148 + 0.429938i −0.575212 + 0.0496449i
\(76\) 6.06273 + 2.76875i 0.695443 + 0.317598i
\(77\) −0.237575 + 0.0169917i −0.0270742 + 0.00193639i
\(78\) −3.65418 4.88141i −0.413754 0.552711i
\(79\) −1.37502 3.01087i −0.154702 0.338750i 0.816373 0.577525i \(-0.195981\pi\)
−0.971075 + 0.238775i \(0.923254\pi\)
\(80\) −0.766012 + 2.10077i −0.0856428 + 0.234873i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −4.37689 + 11.7349i −0.483347 + 1.29590i
\(83\) 7.95205 5.95283i 0.872851 0.653408i −0.0659668 0.997822i \(-0.521013\pi\)
0.938818 + 0.344414i \(0.111922\pi\)
\(84\) −0.0557128 + 0.0642960i −0.00607877 + 0.00701527i
\(85\) 0.143966 0.0434236i 0.0156153 0.00470995i
\(86\) −6.94271 + 10.8031i −0.748651 + 1.16492i
\(87\) 4.26277 5.69440i 0.457017 0.610504i
\(88\) −2.73567 0.595108i −0.291623 0.0634387i
\(89\) 7.67600 + 8.85857i 0.813654 + 0.939007i 0.999047 0.0436579i \(-0.0139011\pi\)
−0.185393 + 0.982665i \(0.559356\pi\)
\(90\) −1.88993 1.19506i −0.199216 0.125970i
\(91\) 0.518761i 0.0543810i
\(92\) −0.267224 + 4.78838i −0.0278600 + 0.499223i
\(93\) −1.05030 + 1.05030i −0.108912 + 0.108912i
\(94\) −2.58869 8.81627i −0.267003 0.909329i
\(95\) 11.8649 9.01873i 1.21731 0.925302i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) −9.24984 6.92434i −0.939179 0.703060i 0.0157562 0.999876i \(-0.494984\pi\)
−0.954935 + 0.296816i \(0.904075\pi\)
\(98\) −6.83296 + 1.48642i −0.690233 + 0.150151i
\(99\) 1.16302 2.54665i 0.116887 0.255948i
\(100\) 3.32947 + 3.73023i 0.332947 + 0.373023i
\(101\) −1.85489 + 12.9010i −0.184568 + 1.28370i 0.661224 + 0.750189i \(0.270037\pi\)
−0.845792 + 0.533512i \(0.820872\pi\)
\(102\) 0.0630084 + 0.0235009i 0.00623877 + 0.00232694i
\(103\) 7.12542 + 13.0492i 0.702089 + 1.28578i 0.948550 + 0.316627i \(0.102550\pi\)
−0.246462 + 0.969153i \(0.579268\pi\)
\(104\) −1.71790 + 5.85064i −0.168454 + 0.573702i
\(105\) 0.0677882 + 0.177748i 0.00661545 + 0.0173464i
\(106\) 5.51363 + 0.792741i 0.535531 + 0.0769978i
\(107\) −0.676471 9.45830i −0.0653969 0.914368i −0.919205 0.393780i \(-0.871167\pi\)
0.853808 0.520588i \(-0.174287\pi\)
\(108\) −0.349464 0.936950i −0.0336272 0.0901580i
\(109\) −3.56298 2.28979i −0.341272 0.219322i 0.358767 0.933427i \(-0.383197\pi\)
−0.700038 + 0.714105i \(0.746834\pi\)
\(110\) −4.06469 + 4.76114i −0.387553 + 0.453957i
\(111\) 3.28863 + 5.11721i 0.312143 + 0.485704i
\(112\) 0.0848591 + 0.00606924i 0.00801843 + 0.000573489i
\(113\) −10.1527 5.54379i −0.955085 0.521516i −0.0754419 0.997150i \(-0.524037\pi\)
−0.879643 + 0.475634i \(0.842219\pi\)
\(114\) 6.66503 0.624238
\(115\) 9.15238 + 5.58874i 0.853464 + 0.521152i
\(116\) −7.11319 −0.660443
\(117\) −5.35176 2.92228i −0.494771 0.270165i
\(118\) −4.78579 0.342286i −0.440568 0.0315100i
\(119\) −0.00309313 0.00481300i −0.000283546 0.000441207i
\(120\) 0.175901 + 2.22914i 0.0160575 + 0.203492i
\(121\) 2.66002 + 1.70949i 0.241820 + 0.155408i
\(122\) 0.935329 + 2.50771i 0.0846807 + 0.227038i
\(123\) 0.893493 + 12.4927i 0.0805635 + 1.12643i
\(124\) 1.47024 + 0.211388i 0.132031 + 0.0189832i
\(125\) 10.8698 2.61675i 0.972225 0.234049i
\(126\) −0.0239686 + 0.0816297i −0.00213530 + 0.00727215i
\(127\) −2.97942 5.45640i −0.264381 0.484177i 0.711441 0.702746i \(-0.248043\pi\)
−0.975822 + 0.218569i \(0.929861\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) −1.82755 + 12.7109i −0.160907 + 1.11913i
\(130\) 9.71178 + 9.57011i 0.851779 + 0.839354i
\(131\) −7.20574 + 15.7784i −0.629569 + 1.37856i 0.278782 + 0.960354i \(0.410069\pi\)
−0.908351 + 0.418209i \(0.862658\pi\)
\(132\) −2.73567 + 0.595108i −0.238109 + 0.0517975i
\(133\) −0.453934 0.339810i −0.0393610 0.0294653i
\(134\) 9.13366 5.86985i 0.789028 0.507078i
\(135\) −2.21559 0.301956i −0.190687 0.0259882i
\(136\) −0.0189461 0.0645244i −0.00162461 0.00553293i
\(137\) −7.29308 + 7.29308i −0.623090 + 0.623090i −0.946320 0.323230i \(-0.895231\pi\)
0.323230 + 0.946320i \(0.395231\pi\)
\(138\) 1.74609 + 4.46667i 0.148637 + 0.380228i
\(139\) 5.16202i 0.437836i 0.975743 + 0.218918i \(0.0702528\pi\)
−0.975743 + 0.218918i \(0.929747\pi\)
\(140\) 0.101670 0.160787i 0.00859272 0.0135890i
\(141\) −6.01717 6.94418i −0.506737 0.584805i
\(142\) −6.45185 1.40351i −0.541427 0.117780i
\(143\) −10.2304 + 13.6662i −0.855509 + 1.14283i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −7.51996 + 14.0156i −0.624499 + 1.16393i
\(146\) −8.52903 + 9.84303i −0.705868 + 0.814615i
\(147\) −5.59799 + 4.19061i −0.461715 + 0.345635i
\(148\) 2.12573 5.69931i 0.174734 0.468480i
\(149\) 13.9947 + 4.10920i 1.14649 + 0.336639i 0.799168 0.601108i \(-0.205274\pi\)
0.347319 + 0.937747i \(0.387092\pi\)
\(150\) 4.57819 + 2.01002i 0.373808 + 0.164118i
\(151\) −1.61333 3.53270i −0.131291 0.287487i 0.832557 0.553939i \(-0.186876\pi\)
−0.963848 + 0.266452i \(0.914149\pi\)
\(152\) −3.99421 5.33563i −0.323973 0.432777i
\(153\) 0.0670771 0.00479745i 0.00542287 0.000387851i
\(154\) 0.216658 + 0.0989445i 0.0174588 + 0.00797318i
\(155\) 1.97083 2.67343i 0.158300 0.214735i
\(156\) 0.867784 + 6.03557i 0.0694783 + 0.483232i
\(157\) −2.35173 + 10.8107i −0.187688 + 0.862789i 0.782920 + 0.622123i \(0.213729\pi\)
−0.970608 + 0.240666i \(0.922634\pi\)
\(158\) −0.236132 + 3.30156i −0.0187857 + 0.262658i
\(159\) 5.34469 1.56934i 0.423862 0.124457i
\(160\) 1.67910 1.47669i 0.132745 0.116743i
\(161\) 0.108809 0.393233i 0.00857532 0.0309911i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 5.50255 10.0772i 0.430993 0.789304i −0.568449 0.822719i \(-0.692456\pi\)
0.999442 + 0.0334142i \(0.0106380\pi\)
\(164\) 9.46544 8.20185i 0.739127 0.640457i
\(165\) −1.71952 + 6.01941i −0.133865 + 0.468611i
\(166\) −9.83224 + 1.41366i −0.763130 + 0.109721i
\(167\) 4.49435 + 20.6602i 0.347783 + 1.59873i 0.735879 + 0.677114i \(0.236769\pi\)
−0.388096 + 0.921619i \(0.626867\pi\)
\(168\) 0.0797118 0.0297310i 0.00614990 0.00229379i
\(169\) 18.2749 + 15.8353i 1.40576 + 1.21810i
\(170\) −0.147167 0.0308835i −0.0112872 0.00236866i
\(171\) 6.06273 2.76875i 0.463628 0.211732i
\(172\) 11.2708 6.15434i 0.859392 0.469264i
\(173\) 16.0883 8.78485i 1.22317 0.667900i 0.267844 0.963462i \(-0.413689\pi\)
0.955323 + 0.295562i \(0.0955070\pi\)
\(174\) −6.47038 + 2.95492i −0.490518 + 0.224012i
\(175\) −0.209326 0.370311i −0.0158236 0.0279928i
\(176\) 2.11583 + 1.83338i 0.159487 + 0.138196i
\(177\) −4.49550 + 1.67673i −0.337902 + 0.126031i
\(178\) −2.49160 11.4537i −0.186753 0.858491i
\(179\) −2.04938 + 0.294657i −0.153178 + 0.0220237i −0.218477 0.975842i \(-0.570109\pi\)
0.0652992 + 0.997866i \(0.479200\pi\)
\(180\) 1.08602 + 1.95462i 0.0809474 + 0.145689i
\(181\) −8.55376 + 7.41187i −0.635796 + 0.550920i −0.912006 0.410177i \(-0.865467\pi\)
0.276210 + 0.961097i \(0.410921\pi\)
\(182\) 0.248616 0.455306i 0.0184286 0.0337495i
\(183\) 1.89255 + 1.89255i 0.139901 + 0.139901i
\(184\) 2.52936 4.07459i 0.186467 0.300383i
\(185\) −8.98246 10.2137i −0.660403 0.750927i
\(186\) 1.42519 0.418473i 0.104500 0.0306839i
\(187\) 0.0134312 0.187792i 0.000982185 0.0137327i
\(188\) −1.95315 + 8.97848i −0.142448 + 0.654823i
\(189\) 0.0121076 + 0.0842099i 0.000880695 + 0.00612537i
\(190\) −14.7358 + 2.22931i −1.06905 + 0.161731i
\(191\) −12.2469 5.59298i −0.886155 0.404693i −0.0802753 0.996773i \(-0.525580\pi\)
−0.805880 + 0.592079i \(0.798307\pi\)
\(192\) 0.997452 0.0713392i 0.0719849 0.00514846i
\(193\) 9.36288 + 12.5073i 0.673955 + 0.900298i 0.998968 0.0454112i \(-0.0144598\pi\)
−0.325014 + 0.945709i \(0.605369\pi\)
\(194\) 4.79990 + 10.5103i 0.344613 + 0.754597i
\(195\) 12.8097 + 4.67086i 0.917323 + 0.334487i
\(196\) 6.70951 + 1.97009i 0.479250 + 0.140721i
\(197\) −2.83668 + 7.60543i −0.202105 + 0.541865i −0.997975 0.0636026i \(-0.979741\pi\)
0.795870 + 0.605467i \(0.207014\pi\)
\(198\) −2.24123 + 1.67777i −0.159277 + 0.119234i
\(199\) 8.20126 9.46476i 0.581372 0.670939i −0.386527 0.922278i \(-0.626326\pi\)
0.967899 + 0.251339i \(0.0808710\pi\)
\(200\) −1.13450 4.86959i −0.0802213 0.344332i
\(201\) 5.86985 9.13366i 0.414027 0.644239i
\(202\) 7.81080 10.4340i 0.549566 0.734135i
\(203\) 0.591330 + 0.128636i 0.0415033 + 0.00902848i
\(204\) −0.0440384 0.0508230i −0.00308330 0.00355832i
\(205\) −6.15395 27.3213i −0.429811 1.90820i
\(206\) 14.8679i 1.03590i
\(207\) 3.44382 + 3.33768i 0.239362 + 0.231985i
\(208\) 4.31168 4.31168i 0.298961 0.298961i
\(209\) −5.25706 17.9039i −0.363638 1.23844i
\(210\) 0.0256892 0.188493i 0.00177272 0.0130072i
\(211\) −19.4037 + 12.4700i −1.33580 + 0.858468i −0.996612 0.0822495i \(-0.973790\pi\)
−0.339191 + 0.940718i \(0.610153\pi\)
\(212\) −4.45928 3.33818i −0.306265 0.229267i
\(213\) −6.45185 + 1.40351i −0.442073 + 0.0961672i
\(214\) −3.93915 + 8.62555i −0.269275 + 0.589630i
\(215\) −0.210966 28.7140i −0.0143878 1.95828i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −0.118400 0.0441610i −0.00803754 0.00299785i
\(218\) 2.02978 + 3.71726i 0.137474 + 0.251764i
\(219\) −3.66934 + 12.4966i −0.247951 + 0.844444i
\(220\) 5.84926 2.23075i 0.394357 0.150397i
\(221\) −0.405883 0.0583571i −0.0273026 0.00392553i
\(222\) −0.433944 6.06734i −0.0291244 0.407213i
\(223\) 4.52514 + 12.1324i 0.303026 + 0.812444i 0.995822 + 0.0913107i \(0.0291056\pi\)
−0.692797 + 0.721133i \(0.743622\pi\)
\(224\) −0.0715703 0.0459955i −0.00478199 0.00307320i
\(225\) 4.99946 0.0734676i 0.333297 0.00489784i
\(226\) 6.25395 + 9.73134i 0.416007 + 0.647319i
\(227\) −6.28368 0.449418i −0.417063 0.0298289i −0.138769 0.990325i \(-0.544314\pi\)
−0.278294 + 0.960496i \(0.589769\pi\)
\(228\) −5.84976 3.19421i −0.387410 0.211542i
\(229\) −16.7134 −1.10446 −0.552228 0.833693i \(-0.686222\pi\)
−0.552228 + 0.833693i \(0.686222\pi\)
\(230\) −5.35445 9.29138i −0.353062 0.612656i
\(231\) 0.238182 0.0156712
\(232\) 6.24309 + 3.40899i 0.409879 + 0.223811i
\(233\) 5.69183 + 0.407087i 0.372884 + 0.0266692i 0.256524 0.966538i \(-0.417423\pi\)
0.116360 + 0.993207i \(0.462877\pi\)
\(234\) 3.29663 + 5.12966i 0.215507 + 0.335336i
\(235\) 15.6261 + 13.3403i 1.01933 + 0.870228i
\(236\) 4.03635 + 2.59400i 0.262744 + 0.168855i
\(237\) 1.15672 + 3.10130i 0.0751373 + 0.201451i
\(238\) 0.000408147 0.00570664i 2.64563e−5 0.000369907i
\(239\) −4.34000 0.623997i −0.280731 0.0403630i 0.000511083 1.00000i \(-0.499837\pi\)
−0.281242 + 0.959637i \(0.590746\pi\)
\(240\) 0.913927 2.04077i 0.0589938 0.131731i
\(241\) −6.42016 + 21.8651i −0.413559 + 1.40845i 0.444904 + 0.895578i \(0.353238\pi\)
−0.858464 + 0.512875i \(0.828581\pi\)
\(242\) −1.51537 2.77520i −0.0974119 0.178397i
\(243\) −0.936950 0.349464i −0.0601054 0.0224181i
\(244\) 0.380901 2.64922i 0.0243847 0.169599i
\(245\) 10.9750 11.1375i 0.701167 0.711546i
\(246\) 5.20289 11.3928i 0.331724 0.726375i
\(247\) −39.7122 + 8.63885i −2.52682 + 0.549677i
\(248\) −1.18909 0.890140i −0.0755072 0.0565240i
\(249\) −8.35646 + 5.37037i −0.529569 + 0.340334i
\(250\) −10.7943 2.91268i −0.682690 0.184214i
\(251\) 0.932363 + 3.17534i 0.0588503 + 0.200426i 0.983670 0.179979i \(-0.0576030\pi\)
−0.924820 + 0.380405i \(0.875785\pi\)
\(252\) 0.0601577 0.0601577i 0.00378958 0.00378958i
\(253\) 10.6213 8.21352i 0.667757 0.516379i
\(254\) 6.21685i 0.390080i
\(255\) −0.146697 + 0.0330426i −0.00918652 + 0.00206921i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 18.1285 + 3.94362i 1.13083 + 0.245996i 0.738778 0.673949i \(-0.235403\pi\)
0.392048 + 0.919945i \(0.371767\pi\)
\(258\) 7.69570 10.2802i 0.479113 0.640020i
\(259\) −0.279783 + 0.435351i −0.0173849 + 0.0270514i
\(260\) −3.93736 13.0538i −0.244185 0.809565i
\(261\) −4.65815 + 5.37579i −0.288332 + 0.332753i
\(262\) 13.8861 10.3950i 0.857886 0.642205i
\(263\) 2.15485 5.77737i 0.132874 0.356248i −0.853426 0.521215i \(-0.825479\pi\)
0.986299 + 0.164967i \(0.0527518\pi\)
\(264\) 2.68624 + 0.788752i 0.165327 + 0.0485443i
\(265\) −11.2917 + 5.25736i −0.693645 + 0.322957i
\(266\) 0.235554 + 0.515792i 0.0144428 + 0.0316252i
\(267\) −7.02447 9.38360i −0.429891 0.574267i
\(268\) −10.8295 + 0.774544i −0.661520 + 0.0473128i
\(269\) −16.2336 7.41364i −0.989781 0.452018i −0.146337 0.989235i \(-0.546748\pi\)
−0.843444 + 0.537217i \(0.819476\pi\)
\(270\) 1.79986 + 1.32684i 0.109536 + 0.0807488i
\(271\) −0.614596 4.27461i −0.0373340 0.259664i 0.962603 0.270917i \(-0.0873270\pi\)
−0.999937 + 0.0112533i \(0.996418\pi\)
\(272\) −0.0142947 + 0.0657116i −0.000866743 + 0.00398435i
\(273\) 0.0370080 0.517439i 0.00223983 0.0313169i
\(274\) 9.89619 2.90578i 0.597851 0.175545i
\(275\) 1.78835 13.8835i 0.107842 0.837208i
\(276\) 0.608142 4.75712i 0.0366059 0.286345i
\(277\) 9.19694 + 9.19694i 0.552590 + 0.552590i 0.927188 0.374597i \(-0.122219\pi\)
−0.374597 + 0.927188i \(0.622219\pi\)
\(278\) 2.47389 4.53059i 0.148374 0.271727i
\(279\) 1.12256 0.972701i 0.0672057 0.0582341i
\(280\) −0.166291 + 0.0923943i −0.00993780 + 0.00552162i
\(281\) 14.8106 2.12945i 0.883529 0.127032i 0.314410 0.949287i \(-0.398193\pi\)
0.569119 + 0.822255i \(0.307284\pi\)
\(282\) 1.95315 + 8.97848i 0.116308 + 0.534661i
\(283\) −0.536026 + 0.199927i −0.0318634 + 0.0118844i −0.365345 0.930872i \(-0.619049\pi\)
0.333482 + 0.942756i \(0.391776\pi\)
\(284\) 4.99002 + 4.32388i 0.296103 + 0.256575i
\(285\) −12.4781 + 8.14932i −0.739136 + 0.482724i
\(286\) 15.5285 7.09164i 0.918221 0.419338i
\(287\) −0.935201 + 0.510658i −0.0552031 + 0.0301432i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) −15.4596 + 7.06018i −0.909390 + 0.415305i
\(290\) 13.3171 8.69727i 0.782006 0.510722i
\(291\) 8.73229 + 7.56657i 0.511896 + 0.443560i
\(292\) 12.2030 4.55149i 0.714128 0.266356i
\(293\) 3.24041 + 14.8959i 0.189307 + 0.870229i 0.969577 + 0.244787i \(0.0787179\pi\)
−0.780270 + 0.625442i \(0.784918\pi\)
\(294\) 6.92159 0.995174i 0.403675 0.0580397i
\(295\) 9.37831 5.21075i 0.546026 0.303382i
\(296\) −4.59710 + 3.98341i −0.267201 + 0.231531i
\(297\) −1.34173 + 2.45719i −0.0778550 + 0.142581i
\(298\) −10.3135 10.3135i −0.597444 0.597444i
\(299\) −16.1932 24.3505i −0.936474 1.40823i
\(300\) −3.05488 3.95825i −0.176374 0.228529i
\(301\) −1.04826 + 0.307796i −0.0604206 + 0.0177411i
\(302\) −0.277057 + 3.87376i −0.0159428 + 0.222910i
\(303\) 2.77051 12.7358i 0.159162 0.731655i
\(304\) 0.948533 + 6.59719i 0.0544021 + 0.378375i
\(305\) −4.81727 3.55124i −0.275836 0.203343i
\(306\) −0.0611714 0.0279360i −0.00349693 0.00159700i
\(307\) 2.40271 0.171845i 0.137130 0.00980774i −0.00260541 0.999997i \(-0.500829\pi\)
0.139735 + 0.990189i \(0.455375\pi\)
\(308\) −0.142737 0.190675i −0.00813321 0.0108647i
\(309\) −6.17634 13.5243i −0.351360 0.769371i
\(310\) −3.01099 + 1.40190i −0.171013 + 0.0796226i
\(311\) −6.07078 1.78254i −0.344243 0.101079i 0.105041 0.994468i \(-0.466503\pi\)
−0.449284 + 0.893389i \(0.648321\pi\)
\(312\) 2.13090 5.71318i 0.120639 0.323445i
\(313\) −7.77322 + 5.81896i −0.439368 + 0.328907i −0.795956 0.605355i \(-0.793031\pi\)
0.356587 + 0.934262i \(0.383940\pi\)
\(314\) 7.24508 8.36127i 0.408864 0.471854i
\(315\) −0.0549351 0.182131i −0.00309524 0.0102619i
\(316\) 1.78952 2.78454i 0.100668 0.156643i
\(317\) −1.17381 + 1.56802i −0.0659275 + 0.0880688i −0.832293 0.554336i \(-0.812972\pi\)
0.766365 + 0.642405i \(0.222063\pi\)
\(318\) −5.44303 1.18406i −0.305230 0.0663987i
\(319\) 13.0412 + 15.0503i 0.730165 + 0.842655i
\(320\) −2.18142 + 0.491350i −0.121945 + 0.0274673i
\(321\) 9.48246i 0.529259i
\(322\) −0.283956 + 0.292986i −0.0158242 + 0.0163275i
\(323\) 0.316935 0.316935i 0.0176347 0.0176347i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −29.8834 6.04229i −1.65763 0.335166i
\(326\) −9.65894 + 6.20743i −0.534959 + 0.343797i
\(327\) 3.39055 + 2.53814i 0.187498 + 0.140359i
\(328\) −12.2383 + 2.66229i −0.675750 + 0.147000i
\(329\) 0.324737 0.711074i 0.0179033 0.0392028i
\(330\) 4.39399 4.45903i 0.241881 0.245462i
\(331\) 3.17453 22.0794i 0.174488 1.21359i −0.694770 0.719232i \(-0.744494\pi\)
0.869258 0.494359i \(-0.164597\pi\)
\(332\) 9.30705 + 3.47135i 0.510790 + 0.190515i
\(333\) −2.91519 5.33878i −0.159752 0.292563i
\(334\) 5.95678 20.2869i 0.325940 1.11005i
\(335\) −9.92270 + 22.1570i −0.542135 + 1.21057i
\(336\) −0.0842099 0.0121076i −0.00459403 0.000660521i
\(337\) 1.63515 + 22.8624i 0.0890723 + 1.24539i 0.823740 + 0.566967i \(0.191883\pi\)
−0.734668 + 0.678427i \(0.762662\pi\)
\(338\) −8.45044 22.6565i −0.459643 1.23235i
\(339\) 9.73134 + 6.25395i 0.528534 + 0.339668i
\(340\) 0.114364 + 0.0976352i 0.00620227 + 0.00529501i
\(341\) −2.24824 3.49833i −0.121749 0.189445i
\(342\) −6.64805 0.475478i −0.359485 0.0257109i
\(343\) −1.04483 0.570520i −0.0564155 0.0308052i
\(344\) −12.8416 −0.692374
\(345\) −8.73036 6.22742i −0.470027 0.335273i
\(346\) −18.3305 −0.985451
\(347\) 7.96946 + 4.35166i 0.427823 + 0.233609i 0.678709 0.734408i \(-0.262540\pi\)
−0.250885 + 0.968017i \(0.580722\pi\)
\(348\) 7.09506 + 0.507449i 0.380335 + 0.0272021i
\(349\) −8.99598 13.9980i −0.481544 0.749297i 0.512452 0.858716i \(-0.328737\pi\)
−0.993996 + 0.109419i \(0.965101\pi\)
\(350\) 0.00625031 + 0.425333i 0.000334093 + 0.0227350i
\(351\) 5.12966 + 3.29663i 0.273801 + 0.175961i
\(352\) −0.978376 2.62313i −0.0521476 0.139813i
\(353\) 2.57958 + 36.0672i 0.137297 + 1.91966i 0.340002 + 0.940425i \(0.389572\pi\)
−0.202705 + 0.979240i \(0.564973\pi\)
\(354\) 4.74918 + 0.682829i 0.252416 + 0.0362919i
\(355\) 13.7950 5.26104i 0.732163 0.279227i
\(356\) −3.30235 + 11.2468i −0.175024 + 0.596077i
\(357\) 0.00274189 + 0.00502139i 0.000145116 + 0.000265760i
\(358\) 1.93991 + 0.723550i 0.102528 + 0.0382408i
\(359\) 1.10459 7.68262i 0.0582982 0.405473i −0.939687 0.342034i \(-0.888884\pi\)
0.997986 0.0634389i \(-0.0202068\pi\)
\(360\) −0.0164283 2.23601i −0.000865847 0.117848i
\(361\) 10.5610 23.1253i 0.555840 1.21712i
\(362\) 11.0596 2.40587i 0.581279 0.126450i
\(363\) −2.53129 1.89490i −0.132858 0.0994565i
\(364\) −0.436410 + 0.280463i −0.0228741 + 0.0147003i
\(365\) 3.93273 28.8562i 0.205849 1.51040i
\(366\) −0.754048 2.56805i −0.0394147 0.134234i
\(367\) −6.58301 + 6.58301i −0.343630 + 0.343630i −0.857730 0.514100i \(-0.828126\pi\)
0.514100 + 0.857730i \(0.328126\pi\)
\(368\) −4.17271 + 2.36399i −0.217518 + 0.123232i
\(369\) 12.5246i 0.652003i
\(370\) 2.98880 + 13.2692i 0.155381 + 0.689832i
\(371\) 0.310339 + 0.358150i 0.0161120 + 0.0185942i
\(372\) −1.45141 0.315735i −0.0752521 0.0163701i
\(373\) 11.5905 15.4831i 0.600135 0.801686i −0.392891 0.919585i \(-0.628525\pi\)
0.993026 + 0.117899i \(0.0376159\pi\)
\(374\) −0.101788 + 0.158385i −0.00526331 + 0.00818987i
\(375\) −11.0288 + 1.83464i −0.569524 + 0.0947404i
\(376\) 6.01717 6.94418i 0.310312 0.358119i
\(377\) 34.7224 25.9928i 1.78829 1.33870i
\(378\) 0.0297310 0.0797118i 0.00152920 0.00409993i
\(379\) 22.3272 + 6.55586i 1.14687 + 0.336752i 0.799318 0.600908i \(-0.205194\pi\)
0.347554 + 0.937660i \(0.387012\pi\)
\(380\) 14.0017 + 5.10550i 0.718271 + 0.261906i
\(381\) 2.58257 + 5.65505i 0.132309 + 0.289717i
\(382\) 8.06843 + 10.7782i 0.412817 + 0.551458i
\(383\) 10.8520 0.776150i 0.554511 0.0396594i 0.208728 0.977974i \(-0.433068\pi\)
0.345783 + 0.938314i \(0.387613\pi\)
\(384\) −0.909632 0.415415i −0.0464195 0.0211991i
\(385\) −0.526600 + 0.0796668i −0.0268380 + 0.00406019i
\(386\) −2.22347 15.4646i −0.113172 0.787126i
\(387\) 2.72968 12.5482i 0.138758 0.637858i
\(388\) 0.824287 11.5250i 0.0418468 0.585095i
\(389\) −25.9423 + 7.61734i −1.31533 + 0.386215i −0.862804 0.505539i \(-0.831294\pi\)
−0.452522 + 0.891753i \(0.649476\pi\)
\(390\) −9.00431 10.2386i −0.455951 0.518450i
\(391\) 0.295428 + 0.129369i 0.0149405 + 0.00654246i
\(392\) −4.94463 4.94463i −0.249742 0.249742i
\(393\) 8.31300 15.2241i 0.419335 0.767955i
\(394\) 6.13459 5.31565i 0.309056 0.267799i
\(395\) −3.59473 6.46979i −0.180870 0.325530i
\(396\) 2.77115 0.398431i 0.139256 0.0200219i
\(397\) −5.28713 24.3045i −0.265353 1.21981i −0.896111 0.443830i \(-0.853619\pi\)
0.630758 0.775980i \(-0.282744\pi\)
\(398\) −11.7340 + 4.37657i −0.588175 + 0.219378i
\(399\) 0.428535 + 0.371328i 0.0214536 + 0.0185896i
\(400\) −1.33802 + 4.81765i −0.0669010 + 0.240882i
\(401\) 7.09924 3.24211i 0.354519 0.161903i −0.230192 0.973145i \(-0.573935\pi\)
0.584711 + 0.811242i \(0.301208\pi\)
\(402\) −9.52914 + 5.20331i −0.475270 + 0.259517i
\(403\) −7.94927 + 4.34063i −0.395981 + 0.216222i
\(404\) −11.8559 + 5.41439i −0.589852 + 0.269376i
\(405\) 2.18840 + 0.459245i 0.108742 + 0.0228201i
\(406\) −0.457350 0.396296i −0.0226979 0.0196678i
\(407\) −15.9561 + 5.95130i −0.790912 + 0.294995i
\(408\) 0.0142947 + 0.0657116i 0.000707693 + 0.00325321i
\(409\) −17.4442 + 2.50810i −0.862560 + 0.124017i −0.559375 0.828914i \(-0.688959\pi\)
−0.303185 + 0.952932i \(0.598050\pi\)
\(410\) −7.69251 + 26.9286i −0.379906 + 1.32991i
\(411\) 7.79478 6.75422i 0.384488 0.333161i
\(412\) −7.12542 + 13.0492i −0.351044 + 0.642890i
\(413\) −0.288637 0.288637i −0.0142029 0.0142029i
\(414\) −1.42299 4.57986i −0.0699363 0.225088i
\(415\) 16.6791 14.6685i 0.818746 0.720047i
\(416\) −5.85064 + 1.71790i −0.286851 + 0.0842271i
\(417\) 0.368254 5.14886i 0.0180335 0.252141i
\(418\) −3.96641 + 18.2333i −0.194004 + 0.891820i
\(419\) 1.09783 + 7.63557i 0.0536325 + 0.373022i 0.998907 + 0.0467455i \(0.0148850\pi\)
−0.945274 + 0.326277i \(0.894206\pi\)
\(420\) −0.112882 + 0.153125i −0.00550807 + 0.00747172i
\(421\) 4.11422 + 1.87890i 0.200515 + 0.0915720i 0.513141 0.858304i \(-0.328482\pi\)
−0.312627 + 0.949876i \(0.601209\pi\)
\(422\) 23.0064 1.64545i 1.11993 0.0800993i
\(423\) 5.50644 + 7.35575i 0.267732 + 0.357649i
\(424\) 2.31400 + 5.06695i 0.112378 + 0.246073i
\(425\) 0.313282 0.122121i 0.0151964 0.00592374i
\(426\) 6.33528 + 1.86021i 0.306945 + 0.0901273i
\(427\) −0.0795739 + 0.213346i −0.00385085 + 0.0103245i
\(428\) 7.59110 5.68262i 0.366930 0.274680i
\(429\) 11.1793 12.9016i 0.539740 0.622894i
\(430\) −13.5760 + 25.3028i −0.654692 + 1.22021i
\(431\) 9.91732 15.4316i 0.477700 0.743316i −0.515854 0.856677i \(-0.672525\pi\)
0.993554 + 0.113361i \(0.0361615\pi\)
\(432\) 0.599278 0.800541i 0.0288328 0.0385161i
\(433\) −12.6111 2.74337i −0.606048 0.131838i −0.100938 0.994893i \(-0.532184\pi\)
−0.505110 + 0.863055i \(0.668548\pi\)
\(434\) 0.0827533 + 0.0955024i 0.00397229 + 0.00458426i
\(435\) 8.50066 13.4434i 0.407575 0.644563i
\(436\) 4.23532i 0.202835i
\(437\) 31.9147 + 1.78106i 1.52669 + 0.0851994i
\(438\) 9.20950 9.20950i 0.440047 0.440047i
\(439\) 4.56613 + 15.5508i 0.217930 + 0.742200i 0.993788 + 0.111293i \(0.0354990\pi\)
−0.775858 + 0.630907i \(0.782683\pi\)
\(440\) −6.20286 0.845370i −0.295710 0.0403014i
\(441\) 5.88269 3.78057i 0.280128 0.180027i
\(442\) 0.328267 + 0.245738i 0.0156141 + 0.0116886i
\(443\) −19.1531 + 4.16651i −0.909992 + 0.197957i −0.643111 0.765773i \(-0.722357\pi\)
−0.266881 + 0.963729i \(0.585993\pi\)
\(444\) −2.52690 + 5.53314i −0.119921 + 0.262591i
\(445\) 18.6691 + 18.3968i 0.885000 + 0.872090i
\(446\) 1.84281 12.8170i 0.0872594 0.606902i
\(447\) −13.6659 5.09710i −0.646373 0.241085i
\(448\) 0.0407725 + 0.0746693i 0.00192632 + 0.00352779i
\(449\) −2.71840 + 9.25802i −0.128289 + 0.436913i −0.998438 0.0558766i \(-0.982205\pi\)
0.870148 + 0.492790i \(0.164023\pi\)
\(450\) −4.42313 2.33151i −0.208508 0.109908i
\(451\) −34.7075 4.99018i −1.63431 0.234978i
\(452\) −0.825227 11.5382i −0.0388154 0.542711i
\(453\) 1.35720 + 3.63879i 0.0637667 + 0.170965i
\(454\) 5.29967 + 3.40589i 0.248726 + 0.159847i
\(455\) 0.0912508 + 1.15639i 0.00427790 + 0.0542124i
\(456\) 3.60339 + 5.60698i 0.168744 + 0.262571i
\(457\) −24.2170 1.73203i −1.13282 0.0810212i −0.507691 0.861539i \(-0.669501\pi\)
−0.625133 + 0.780518i \(0.714955\pi\)
\(458\) 14.6690 + 8.00990i 0.685439 + 0.374278i
\(459\) −0.0672485 −0.00313889
\(460\) 0.246604 + 10.7210i 0.0114980 + 0.499868i
\(461\) 20.6639 0.962416 0.481208 0.876607i \(-0.340198\pi\)
0.481208 + 0.876607i \(0.340198\pi\)
\(462\) −0.209048 0.114149i −0.00972577 0.00531067i
\(463\) 14.4374 + 1.03258i 0.670962 + 0.0479882i 0.402664 0.915348i \(-0.368084\pi\)
0.268298 + 0.963336i \(0.413539\pi\)
\(464\) −3.84568 5.98399i −0.178531 0.277800i
\(465\) −2.15652 + 2.52602i −0.100006 + 0.117142i
\(466\) −4.80050 3.08509i −0.222379 0.142914i
\(467\) −1.03374 2.77157i −0.0478358 0.128253i 0.910835 0.412771i \(-0.135439\pi\)
−0.958671 + 0.284518i \(0.908166\pi\)
\(468\) −0.435000 6.08210i −0.0201079 0.281145i
\(469\) 0.914284 + 0.131454i 0.0422177 + 0.00606999i
\(470\) −7.32134 19.1973i −0.337708 0.885507i
\(471\) 3.11696 10.6154i 0.143622 0.489132i
\(472\) −2.29944 4.21112i −0.105840 0.193832i
\(473\) −33.6852 12.5639i −1.54885 0.577691i
\(474\) 0.471061 3.27630i 0.0216365 0.150485i
\(475\) 24.8621 22.1911i 1.14075 1.01820i
\(476\) 0.00237668 0.00520421i 0.000108935 0.000238534i
\(477\) −5.44303 + 1.18406i −0.249219 + 0.0542143i
\(478\) 3.51007 + 2.62761i 0.160547 + 0.120184i
\(479\) 2.51272 1.61483i 0.114809 0.0737833i −0.481976 0.876184i \(-0.660081\pi\)
0.596785 + 0.802401i \(0.296444\pi\)
\(480\) −1.78017 + 1.35314i −0.0812533 + 0.0617622i
\(481\) 10.4497 + 35.5885i 0.476466 + 1.62269i
\(482\) 16.1137 16.1137i 0.733957 0.733957i
\(483\) −0.136584 + 0.384469i −0.00621480 + 0.0174939i
\(484\) 3.16198i 0.143726i
\(485\) −21.8372 13.8083i −0.991575 0.627001i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) 31.0659 + 6.75798i 1.40773 + 0.306233i 0.851309 0.524665i \(-0.175809\pi\)
0.556424 + 0.830899i \(0.312173\pi\)
\(488\) −1.60395 + 2.14262i −0.0726073 + 0.0969919i
\(489\) −6.20743 + 9.65894i −0.280709 + 0.436792i
\(490\) −14.9701 + 4.51536i −0.676282 + 0.203983i
\(491\) −20.5241 + 23.6861i −0.926239 + 1.06894i 0.0712035 + 0.997462i \(0.477316\pi\)
−0.997442 + 0.0714749i \(0.977229\pi\)
\(492\) −10.0264 + 7.50570i −0.452027 + 0.338383i
\(493\) −0.167167 + 0.448191i −0.00752880 + 0.0201855i
\(494\) 38.9947 + 11.4499i 1.75445 + 0.515154i
\(495\) 2.14456 5.88141i 0.0963910 0.264350i
\(496\) 0.617039 + 1.35113i 0.0277059 + 0.0606674i
\(497\) −0.336634 0.449691i −0.0151001 0.0201714i
\(498\) 9.90804 0.708637i 0.443990 0.0317548i
\(499\) −10.0614 4.59489i −0.450410 0.205696i 0.177277 0.984161i \(-0.443271\pi\)
−0.627687 + 0.778465i \(0.715998\pi\)
\(500\) 8.07801 + 7.72954i 0.361260 + 0.345675i
\(501\) −3.00902 20.9282i −0.134433 0.935001i
\(502\) 0.703462 3.23376i 0.0313970 0.144330i
\(503\) 1.83527 25.6605i 0.0818308 1.14414i −0.776179 0.630512i \(-0.782845\pi\)
0.858010 0.513632i \(-0.171701\pi\)
\(504\) −0.0816297 + 0.0239686i −0.00363607 + 0.00106765i
\(505\) −1.86549 + 29.0845i −0.0830134 + 1.29424i
\(506\) −13.2584 + 2.11857i −0.589410 + 0.0941818i
\(507\) −17.0986 17.0986i −0.759377 0.759377i
\(508\) 2.97942 5.45640i 0.132190 0.242089i
\(509\) 15.5800 13.5001i 0.690570 0.598382i −0.237233 0.971453i \(-0.576241\pi\)
0.927803 + 0.373071i \(0.121695\pi\)
\(510\) 0.144588 + 0.0413036i 0.00640248 + 0.00182895i
\(511\) −1.09677 + 0.157691i −0.0485181 + 0.00697585i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) −6.24480 + 2.32919i −0.275715 + 0.102836i
\(514\) −14.0210 12.1493i −0.618442 0.535883i
\(515\) 18.1789 + 27.8352i 0.801059 + 1.22656i
\(516\) −11.6812 + 5.33460i −0.514234 + 0.234843i
\(517\) 22.5778 12.3284i 0.992971 0.542203i
\(518\) 0.454201 0.248012i 0.0199564 0.0108970i
\(519\) −16.6740 + 7.61475i −0.731906 + 0.334250i
\(520\) −2.80031 + 13.3441i −0.122802 + 0.585176i
\(521\) −4.84279 4.19630i −0.212166 0.183843i 0.542294 0.840189i \(-0.317556\pi\)
−0.754460 + 0.656346i \(0.772101\pi\)
\(522\) 6.66470 2.48580i 0.291706 0.108801i
\(523\) 6.86678 + 31.5661i 0.300264 + 1.38029i 0.841881 + 0.539664i \(0.181449\pi\)
−0.541617 + 0.840625i \(0.682188\pi\)
\(524\) −17.1693 + 2.46858i −0.750046 + 0.107840i
\(525\) 0.182375 + 0.384300i 0.00795951 + 0.0167722i
\(526\) −4.66006 + 4.03797i −0.203188 + 0.176064i
\(527\) 0.0478712 0.0876695i 0.00208530 0.00381894i
\(528\) −1.97965 1.97965i −0.0861532 0.0861532i
\(529\) 7.16734 + 21.8547i 0.311624 + 0.950206i
\(530\) 12.4301 + 0.797273i 0.539929 + 0.0346313i
\(531\) 4.60366 1.35176i 0.199782 0.0586612i
\(532\) 0.0404517 0.565589i 0.00175380 0.0245214i
\(533\) −16.2337 + 74.6249i −0.703158 + 3.23237i
\(534\) 1.66815 + 11.6023i 0.0721881 + 0.502079i
\(535\) −3.17167 20.9649i −0.137123 0.906390i
\(536\) 9.87606 + 4.51025i 0.426581 + 0.194813i
\(537\) 2.06518 0.147705i 0.0891191 0.00637392i
\(538\) 10.6949 + 14.2867i 0.461091 + 0.615945i
\(539\) −8.13269 17.8081i −0.350300 0.767050i
\(540\) −0.943815 2.02712i −0.0406153 0.0872333i
\(541\) −4.77165 1.40108i −0.205149 0.0602373i 0.177543 0.984113i \(-0.443185\pi\)
−0.382693 + 0.923876i \(0.625003\pi\)
\(542\) −1.50918 + 4.04628i −0.0648250 + 0.173803i
\(543\) 9.06072 6.78277i 0.388833 0.291077i
\(544\) 0.0440384 0.0508230i 0.00188813 0.00217902i
\(545\) −8.34516 4.47752i −0.357467 0.191796i
\(546\) −0.280463 + 0.436410i −0.0120027 + 0.0186766i
\(547\) 22.4662 30.0113i 0.960584 1.28319i 0.00152121 0.999999i \(-0.499516\pi\)
0.959063 0.283192i \(-0.0913933\pi\)
\(548\) −10.0783 2.19239i −0.430522 0.0936544i
\(549\) −1.75271 2.02274i −0.0748040 0.0863284i
\(550\) −8.22327 + 11.3282i −0.350641 + 0.483037i
\(551\) 47.4096i 2.01972i
\(552\) −2.81360 + 3.88377i −0.119755 + 0.165304i
\(553\) −0.199121 + 0.199121i −0.00846751 + 0.00846751i
\(554\) −3.66433 12.4796i −0.155683 0.530207i
\(555\) 8.23093 + 10.8285i 0.349384 + 0.459644i
\(556\) −4.34256 + 2.79080i −0.184166 + 0.118356i
\(557\) 7.99980 + 5.98858i 0.338962 + 0.253744i 0.755175 0.655523i \(-0.227552\pi\)
−0.416213 + 0.909267i \(0.636643\pi\)
\(558\) −1.45141 + 0.315735i −0.0614431 + 0.0133661i
\(559\) −32.5285 + 71.2274i −1.37581 + 3.01260i
\(560\) 0.190230 0.00139765i 0.00803869 5.90615e-5i
\(561\) −0.0267939 + 0.186356i −0.00113124 + 0.00786794i
\(562\) −14.0195 5.22901i −0.591378 0.220573i
\(563\) 11.4553 + 20.9788i 0.482782 + 0.884149i 0.999606 + 0.0280579i \(0.00893228\pi\)
−0.516824 + 0.856092i \(0.672886\pi\)
\(564\) 2.58869 8.81627i 0.109004 0.371232i
\(565\) −23.6069 10.5720i −0.993151 0.444767i
\(566\) 0.566273 + 0.0814178i 0.0238022 + 0.00342225i
\(567\) −0.00606924 0.0848591i −0.000254884 0.00356375i
\(568\) −2.30742 6.18644i −0.0968172 0.259577i
\(569\) −28.3082 18.1926i −1.18674 0.762672i −0.210127 0.977674i \(-0.567388\pi\)
−0.976614 + 0.215002i \(0.931024\pi\)
\(570\) 14.8573 1.17239i 0.622303 0.0491060i
\(571\) −8.17949 12.7275i −0.342301 0.532631i 0.626837 0.779151i \(-0.284349\pi\)
−0.969138 + 0.246520i \(0.920713\pi\)
\(572\) −17.0277 1.21785i −0.711965 0.0509207i
\(573\) 11.8167 + 6.45241i 0.493650 + 0.269553i
\(574\) 1.06554 0.0444747
\(575\) 21.3850 + 10.8482i 0.891816 + 0.452399i
\(576\) −1.00000 −0.0416667
\(577\) −9.70344 5.29848i −0.403960 0.220579i 0.264406 0.964411i \(-0.414824\pi\)
−0.668366 + 0.743833i \(0.733006\pi\)
\(578\) 16.9522 + 1.21244i 0.705118 + 0.0504310i
\(579\) −8.44676 13.1434i −0.351035 0.546222i
\(580\) −15.8563 + 1.25122i −0.658396 + 0.0519541i
\(581\) −0.710933 0.456889i −0.0294945 0.0189549i
\(582\) −4.03788 10.8260i −0.167375 0.448751i
\(583\) 1.11253 + 15.5552i 0.0460764 + 0.644232i
\(584\) −12.8916 1.85354i −0.533459 0.0766999i
\(585\) −12.4439 5.57279i −0.514490 0.230407i
\(586\) 4.29482 14.6268i 0.177417 0.604228i
\(587\) 15.9892 + 29.2820i 0.659944 + 1.20860i 0.966481 + 0.256738i \(0.0826478\pi\)
−0.306537 + 0.951859i \(0.599170\pi\)
\(588\) −6.55187 2.44372i −0.270194 0.100777i
\(589\) 1.40891 9.79917i 0.0580531 0.403768i
\(590\) −10.7284 + 0.0788232i −0.441681 + 0.00324510i
\(591\) 3.37202 7.38369i 0.138706 0.303724i
\(592\) 5.94382 1.29300i 0.244290 0.0531420i
\(593\) 7.40430 + 5.54279i 0.304058 + 0.227615i 0.740401 0.672165i \(-0.234636\pi\)
−0.436343 + 0.899780i \(0.643727\pi\)
\(594\) 2.35521 1.51360i 0.0966356 0.0621039i
\(595\) −0.00774162 0.0101848i −0.000317375 0.000417534i
\(596\) 4.10920 + 13.9947i 0.168320 + 0.573244i
\(597\) −8.85557 + 8.85557i −0.362434 + 0.362434i
\(598\) 2.54243 + 29.1325i 0.103968 + 1.19132i
\(599\) 8.55947i 0.349730i −0.984592 0.174865i \(-0.944051\pi\)
0.984592 0.174865i \(-0.0559490\pi\)
\(600\) 0.784217 + 4.93812i 0.0320155 + 0.201598i
\(601\) 12.8400 + 14.8182i 0.523755 + 0.604446i 0.954567 0.297996i \(-0.0963182\pi\)
−0.430812 + 0.902442i \(0.641773\pi\)
\(602\) 1.06754 + 0.232230i 0.0435099 + 0.00946499i
\(603\) −6.50648 + 8.69164i −0.264964 + 0.353951i
\(604\) 2.09966 3.26714i 0.0854341 0.132938i
\(605\) 6.23026 + 3.34280i 0.253296 + 0.135904i
\(606\) −8.53526 + 9.85021i −0.346721 + 0.400138i
\(607\) 5.71290 4.27662i 0.231880 0.173583i −0.477020 0.878893i \(-0.658283\pi\)
0.708899 + 0.705310i \(0.249192\pi\)
\(608\) 2.32919 6.24480i 0.0944611 0.253260i
\(609\) −0.580647 0.170493i −0.0235290 0.00690874i
\(610\) 2.52609 + 5.42552i 0.102278 + 0.219673i
\(611\) −23.2748 50.9648i −0.941599 2.06181i
\(612\) 0.0403005 + 0.0538352i 0.00162905 + 0.00217616i
\(613\) 8.73616 0.624822i 0.352850 0.0252363i 0.106211 0.994344i \(-0.466128\pi\)
0.246639 + 0.969107i \(0.420674\pi\)
\(614\) −2.19117 1.00067i −0.0884283 0.0403839i
\(615\) 4.18920 + 27.6907i 0.168925 + 1.11660i
\(616\) 0.0338969 + 0.235758i 0.00136574 + 0.00949896i
\(617\) 4.71429 21.6712i 0.189790 0.872451i −0.779475 0.626433i \(-0.784514\pi\)
0.969265 0.246018i \(-0.0791222\pi\)
\(618\) −1.06066 + 14.8300i −0.0426661 + 0.596550i
\(619\) 28.2038 8.28139i 1.13361 0.332857i 0.339483 0.940612i \(-0.389748\pi\)
0.794124 + 0.607755i \(0.207930\pi\)
\(620\) 3.31454 + 0.212597i 0.133115 + 0.00853809i
\(621\) −3.19694 3.57485i −0.128289 0.143454i
\(622\) 4.47392 + 4.47392i 0.179388 + 0.179388i
\(623\) 0.477918 0.875241i 0.0191474 0.0350658i
\(624\) −4.60828 + 3.99310i −0.184479 + 0.159852i
\(625\) 23.7700 7.74511i 0.950800 0.309805i
\(626\) 9.61112 1.38187i 0.384138 0.0552307i
\(627\) 3.96641 + 18.2333i 0.158403 + 0.728168i
\(628\) −10.3660 + 3.86631i −0.413648 + 0.154283i
\(629\) −0.309148 0.267878i −0.0123265 0.0106810i
\(630\) −0.0390706 + 0.186180i −0.00155661 + 0.00741759i
\(631\) 26.6559 12.1733i 1.06116 0.484613i 0.193150 0.981169i \(-0.438129\pi\)
0.868005 + 0.496556i \(0.165402\pi\)
\(632\) −2.90511 + 1.58631i −0.115559 + 0.0631000i
\(633\) 20.2438 11.0540i 0.804619 0.439355i
\(634\) 1.78170 0.813674i 0.0707602 0.0323151i
\(635\) −7.60133 11.6390i −0.301650 0.461879i
\(636\) 4.20978 + 3.64779i 0.166928 + 0.144644i
\(637\) −39.9509 + 14.9009i −1.58291 + 0.590395i
\(638\) −4.23311 19.4593i −0.167591 0.770401i
\(639\) 6.53553 0.939668i 0.258542 0.0371727i
\(640\) 2.15006 + 0.614193i 0.0849887 + 0.0242781i
\(641\) 30.8845 26.7615i 1.21986 1.05702i 0.223252 0.974761i \(-0.428333\pi\)
0.996611 0.0822563i \(-0.0262126\pi\)
\(642\) 4.54446 8.32255i 0.179355 0.328465i
\(643\) −18.2296 18.2296i −0.718904 0.718904i 0.249477 0.968381i \(-0.419741\pi\)
−0.968381 + 0.249477i \(0.919741\pi\)
\(644\) 0.389635 0.121062i 0.0153538 0.00477052i
\(645\) −1.83800 + 28.6559i −0.0723713 + 1.12832i
\(646\) −0.430058 + 0.126276i −0.0169204 + 0.00496827i
\(647\) 1.16652 16.3101i 0.0458607 0.641216i −0.921591 0.388162i \(-0.873110\pi\)
0.967452 0.253054i \(-0.0814352\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −1.91168 13.2960i −0.0750400 0.521914i
\(650\) 23.3323 + 19.6248i 0.915168 + 0.769748i
\(651\) 0.114948 + 0.0524951i 0.00450518 + 0.00205744i
\(652\) 11.4524 0.819088i 0.448509 0.0320780i
\(653\) −2.29936 3.07158i −0.0899809 0.120200i 0.753292 0.657687i \(-0.228465\pi\)
−0.843273 + 0.537486i \(0.819374\pi\)
\(654\) −1.75942 3.85259i −0.0687987 0.150648i
\(655\) −13.2872 + 36.4397i −0.519172 + 1.42382i
\(656\) 12.0172 + 3.52858i 0.469194 + 0.137768i
\(657\) 4.55149 12.2030i 0.177571 0.476085i
\(658\) −0.625796 + 0.468465i −0.0243961 + 0.0182627i
\(659\) −3.67190 + 4.23760i −0.143037 + 0.165073i −0.822748 0.568407i \(-0.807560\pi\)
0.679711 + 0.733480i \(0.262105\pi\)
\(660\) −5.99350 + 1.80779i −0.233297 + 0.0703679i
\(661\) −8.12493 + 12.6426i −0.316023 + 0.491741i −0.962533 0.271164i \(-0.912591\pi\)
0.646510 + 0.762905i \(0.276228\pi\)
\(662\) −13.3677 + 17.8572i −0.519552 + 0.694040i
\(663\) 0.400686 + 0.0871638i 0.0155613 + 0.00338516i
\(664\) −6.50496 7.50712i −0.252441 0.291333i
\(665\) −1.07165 0.677637i −0.0415570 0.0262776i
\(666\) 6.08284i 0.235705i
\(667\) −31.7723 + 12.4203i −1.23023 + 0.480915i
\(668\) −14.9506 + 14.9506i −0.578457 + 0.578457i
\(669\) −3.64810 12.4243i −0.141044 0.480350i
\(670\) 19.3277 14.6913i 0.746694 0.567576i
\(671\) −6.30365 + 4.05111i −0.243350 + 0.156391i
\(672\) 0.0681067 + 0.0509840i 0.00262727 + 0.00196675i
\(673\) 5.84392 1.27127i 0.225267 0.0490037i −0.0985152 0.995136i \(-0.531409\pi\)
0.323782 + 0.946132i \(0.395046\pi\)
\(674\) 9.52164 20.8495i 0.366760 0.803092i
\(675\) −4.99196 0.283377i −0.192141 0.0109072i
\(676\) −3.44133 + 23.9350i −0.132359 + 0.920577i
\(677\) 18.1199 + 6.75836i 0.696403 + 0.259745i 0.672637 0.739973i \(-0.265162\pi\)
0.0237658 + 0.999718i \(0.492434\pi\)
\(678\) −5.54379 10.1527i −0.212908 0.389912i
\(679\) −0.276945 + 0.943188i −0.0106282 + 0.0361962i
\(680\) −0.0535834 0.140501i −0.00205483 0.00538798i
\(681\) 6.23561 + 0.896546i 0.238949 + 0.0343557i
\(682\) 0.296662 + 4.14787i 0.0113598 + 0.158830i
\(683\) 4.74326 + 12.7172i 0.181496 + 0.486610i 0.995556 0.0941712i \(-0.0300201\pi\)
−0.814060 + 0.580781i \(0.802747\pi\)
\(684\) 5.60698 + 3.60339i 0.214388 + 0.137779i
\(685\) −14.9744 + 17.5402i −0.572143 + 0.670175i
\(686\) 0.643604 + 1.00147i 0.0245729 + 0.0382362i
\(687\) 16.6709 + 1.19232i 0.636033 + 0.0454900i
\(688\) 11.2708 + 6.15434i 0.429696 + 0.234632i
\(689\) 33.9658 1.29400
\(690\) 4.67797 + 9.64969i 0.178087 + 0.367358i
\(691\) −1.61347 −0.0613792 −0.0306896 0.999529i \(-0.509770\pi\)
−0.0306896 + 0.999529i \(0.509770\pi\)
\(692\) 16.0883 + 8.78485i 0.611584 + 0.333950i
\(693\) −0.237575 0.0169917i −0.00902474 0.000645462i
\(694\) −4.90910 7.63872i −0.186347 0.289962i
\(695\) 0.908006 + 11.5068i 0.0344426 + 0.436480i
\(696\) −5.98399 3.84568i −0.226823 0.145770i
\(697\) −0.294339 0.789154i −0.0111489 0.0298913i
\(698\) 1.18705 + 16.5971i 0.0449304 + 0.628209i
\(699\) −5.64828 0.812100i −0.213638 0.0307165i
\(700\) 0.198355 0.376301i 0.00749710 0.0142229i
\(701\) −6.27338 + 21.3652i −0.236942 + 0.806951i 0.752066 + 0.659088i \(0.229058\pi\)
−0.989008 + 0.147863i \(0.952760\pi\)
\(702\) −2.92228 5.35176i −0.110295 0.201989i
\(703\) −37.9861 14.1681i −1.43267 0.534359i
\(704\) −0.398431 + 2.77115i −0.0150164 + 0.104442i
\(705\) −14.6346 14.4211i −0.551170 0.543130i
\(706\) 15.0211 32.8917i 0.565328 1.23790i
\(707\) 1.08351 0.235704i 0.0407497 0.00886455i
\(708\) −3.84101 2.87534i −0.144354 0.108062i
\(709\) −19.2361 + 12.3623i −0.722426 + 0.464275i −0.849480 0.527621i \(-0.823084\pi\)
0.127054 + 0.991896i \(0.459448\pi\)
\(710\) −14.6289 1.99374i −0.549014 0.0748236i
\(711\) −0.932532 3.17591i −0.0349727 0.119106i
\(712\) 8.28840 8.28840i 0.310621 0.310621i
\(713\) 6.93617 1.62296i 0.259762 0.0607805i
\(714\) 0.00572122i 0.000214111i
\(715\) −20.4011 + 32.2634i −0.762957 + 1.20658i
\(716\) −1.35586 1.56475i −0.0506709 0.0584773i
\(717\) 4.28442 + 0.932019i 0.160005 + 0.0348069i
\(718\) −4.65137 + 6.21350i −0.173587 + 0.231886i
\(719\) −12.3093 + 19.1536i −0.459059 + 0.714309i −0.991204 0.132344i \(-0.957750\pi\)
0.532145 + 0.846653i \(0.321386\pi\)
\(720\) −1.05719 + 1.97037i −0.0393990 + 0.0734314i
\(721\) 0.828332 0.955946i 0.0308487 0.0356013i
\(722\) −20.3519 + 15.2352i −0.757419 + 0.566997i
\(723\) 7.96364 21.3513i 0.296171 0.794065i
\(724\) −10.8598 3.18872i −0.403600 0.118508i
\(725\) −14.2977 + 32.5655i −0.531002 + 1.20945i
\(726\) 1.31353 + 2.87623i 0.0487498 + 0.106747i
\(727\) 31.7555 + 42.4203i 1.17775 + 1.57328i 0.737403 + 0.675454i \(0.236052\pi\)
0.440343 + 0.897830i \(0.354857\pi\)
\(728\) 0.517439 0.0370080i 0.0191776 0.00137161i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −17.2810 + 23.4417i −0.639598 + 0.867618i
\(731\) −0.122900 0.854790i −0.00454563 0.0316155i
\(732\) −0.568924 + 2.61530i −0.0210280 + 0.0966643i
\(733\) 1.41192 19.7412i 0.0521504 0.729158i −0.902361 0.430982i \(-0.858167\pi\)
0.954511 0.298176i \(-0.0963782\pi\)
\(734\) 8.93267 2.62287i 0.329711 0.0968119i
\(735\) −11.7416 + 10.3261i −0.433094 + 0.380885i
\(736\) 4.79524 0.0750563i 0.176755 0.00276661i
\(737\) 21.4935 + 21.4935i 0.791722 + 0.791722i
\(738\) −6.00239 + 10.9926i −0.220951 + 0.404641i
\(739\) 36.0018 31.1957i 1.32435 1.14755i 0.346541 0.938035i \(-0.387356\pi\)
0.977805 0.209518i \(-0.0671894\pi\)
\(740\) 3.73604 13.0785i 0.137339 0.480774i
\(741\) 40.2273 5.78381i 1.47779 0.212473i
\(742\) −0.100735 0.463071i −0.00369809 0.0169999i
\(743\) 39.1934 14.6184i 1.43787 0.536296i 0.494830 0.868990i \(-0.335230\pi\)
0.943035 + 0.332693i \(0.107957\pi\)
\(744\) 1.12256 + 0.972701i 0.0411549 + 0.0356609i
\(745\) 31.9189 + 6.69830i 1.16942 + 0.245407i
\(746\) −17.5930 + 8.03447i −0.644127 + 0.294163i
\(747\) 8.71829 4.76055i 0.318986 0.174179i
\(748\) 0.165242 0.0902292i 0.00604186 0.00329911i
\(749\) −0.733825 + 0.335127i −0.0268134 + 0.0122453i
\(750\) 10.5590 + 3.67531i 0.385560 + 0.134203i
\(751\) 19.7683 + 17.1293i 0.721354 + 0.625057i 0.936150 0.351602i \(-0.114363\pi\)
−0.214795 + 0.976659i \(0.568908\pi\)
\(752\) −8.60913 + 3.21104i −0.313943 + 0.117095i
\(753\) −0.703462 3.23376i −0.0256356 0.117845i
\(754\) −42.9321 + 6.17271i −1.56350 + 0.224797i
\(755\) −4.21774 7.59108i −0.153499 0.276268i
\(756\) −0.0642960 + 0.0557128i −0.00233842 + 0.00202626i
\(757\) 21.6046 39.5659i 0.785232 1.43805i −0.110699 0.993854i \(-0.535309\pi\)
0.895932 0.444192i \(-0.146509\pi\)
\(758\) −16.4542 16.4542i −0.597645 0.597645i
\(759\) −11.1802 + 7.43487i −0.405816 + 0.269869i
\(760\) −9.84218 11.1913i −0.357014 0.405950i
\(761\) −39.2796 + 11.5335i −1.42388 + 0.418090i −0.900816 0.434202i \(-0.857031\pi\)
−0.523067 + 0.852291i \(0.675212\pi\)
\(762\) 0.443505 6.20101i 0.0160665 0.224639i
\(763\) −0.0765923 + 0.352089i −0.00277283 + 0.0127465i
\(764\) −1.91607 13.3265i −0.0693209 0.482137i
\(765\) 0.148680 0.0224931i 0.00537555 0.000813241i
\(766\) −9.89654 4.51960i −0.357577 0.163300i
\(767\) −29.1820 + 2.08714i −1.05370 + 0.0753621i
\(768\) 0.599278 + 0.800541i 0.0216246 + 0.0288870i
\(769\) −10.9049 23.8784i −0.393240 0.861075i −0.997911 0.0646003i \(-0.979423\pi\)
0.604671 0.796475i \(-0.293305\pi\)
\(770\) 0.500366 + 0.182451i 0.0180319 + 0.00657506i
\(771\) −17.8010 5.22684i −0.641087 0.188240i
\(772\) −5.45989 + 14.6385i −0.196506 + 0.526852i