Properties

Label 605.2.s.b.16.16
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.16
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.46553 + 0.168154i) q^{2} +(-2.14433 - 1.55794i) q^{3} +(0.171477 + 0.0398753i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.88060 - 2.64379i) q^{6} +(0.537054 + 0.552615i) q^{7} +(-2.53411 - 0.904170i) q^{8} +(1.24390 + 3.82832i) q^{9} +O(q^{10})\) \(q+(1.46553 + 0.168154i) q^{2} +(-2.14433 - 1.55794i) q^{3} +(0.171477 + 0.0398753i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.88060 - 2.64379i) q^{6} +(0.537054 + 0.552615i) q^{7} +(-2.53411 - 0.904170i) q^{8} +(1.24390 + 3.82832i) q^{9} +(-0.966014 + 1.11484i) q^{10} +(1.91913 + 2.70498i) q^{11} +(-0.305580 - 0.352658i) q^{12} +(-2.98709 + 4.95354i) q^{13} +(0.694144 + 0.900182i) q^{14} +(2.49639 - 0.890710i) q^{15} +(-3.87776 - 1.90657i) q^{16} +(2.21013 - 1.80721i) q^{17} +(1.17922 + 5.81968i) q^{18} +(4.31778 + 0.246900i) q^{19} +(-0.129705 + 0.119042i) q^{20} +(-0.290675 - 2.02169i) q^{21} +(2.35769 + 4.28694i) q^{22} +(-0.597021 + 4.15237i) q^{23} +(4.02532 + 5.88685i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-5.21063 + 6.75727i) q^{26} +(0.839808 - 2.58466i) q^{27} +(0.0700567 + 0.116176i) q^{28} +(-0.773829 + 1.98756i) q^{29} +(3.80831 - 0.885585i) q^{30} +(5.19895 + 2.19709i) q^{31} +(-0.835440 - 0.536905i) q^{32} +(0.0989673 - 8.79027i) q^{33} +(3.54289 - 2.27688i) q^{34} +(-0.759305 + 0.131403i) q^{35} +(0.0606444 + 0.706070i) q^{36} +(-0.684525 + 7.96977i) q^{37} +(6.28632 + 1.08789i) q^{38} +(14.1226 - 5.96828i) q^{39} +(2.17673 - 1.58149i) q^{40} +(-5.15630 + 2.91189i) q^{41} +(-0.0860380 - 3.01172i) q^{42} +(-11.8141 + 3.46892i) q^{43} +(0.221225 + 0.540369i) q^{44} +(-3.86228 - 1.13407i) q^{45} +(-1.57319 + 5.98503i) q^{46} +(-0.123716 + 0.610562i) q^{47} +(5.34486 + 10.1296i) q^{48} +(0.182935 - 6.40358i) q^{49} +(-0.375009 - 1.42668i) q^{50} +(-7.55477 + 0.431997i) q^{51} +(-0.709742 + 0.730307i) q^{52} +(-2.28745 + 1.12466i) q^{53} +(1.66538 - 3.64668i) q^{54} +(-3.31613 + 0.0573803i) q^{55} +(-0.861297 - 1.88598i) q^{56} +(-8.87408 - 7.25630i) q^{57} +(-1.46829 + 2.78271i) q^{58} +(-7.92394 - 4.47485i) q^{59} +(0.463591 - 0.0531921i) q^{60} +(-1.45769 + 0.167254i) q^{61} +(7.24976 + 4.09413i) q^{62} +(-1.44755 + 2.74341i) q^{63} +(5.55622 + 4.54330i) q^{64} +(-2.40296 - 5.26175i) q^{65} +(1.62316 - 12.8658i) q^{66} +(0.590660 - 1.29336i) q^{67} +(0.451049 - 0.221766i) q^{68} +(7.74937 - 7.97392i) q^{69} +(-1.13488 + 0.0648948i) q^{70} +(-0.878414 - 3.34183i) q^{71} +(0.309276 - 10.8261i) q^{72} +(-6.59814 - 12.5049i) q^{73} +(-2.34334 + 11.5648i) q^{74} +(-0.673814 + 2.56346i) q^{75} +(0.730555 + 0.214510i) q^{76} +(-0.464138 + 2.51326i) q^{77} +(21.7007 - 6.37191i) q^{78} +(0.325680 + 11.4003i) q^{79} +(3.76259 - 2.12483i) q^{80} +(3.94210 - 2.86410i) q^{81} +(-8.04635 + 3.40042i) q^{82} +(11.6130 + 2.00971i) q^{83} +(0.0307713 - 0.358264i) q^{84} +(0.244311 + 2.84446i) q^{85} +(-17.8972 + 3.09723i) q^{86} +(4.75586 - 3.05640i) q^{87} +(-2.41753 - 8.58996i) q^{88} +(8.37033 + 5.37928i) q^{89} +(-5.46958 - 2.31147i) q^{90} +(-4.34163 + 1.00960i) q^{91} +(-0.267952 + 0.688230i) q^{92} +(-7.72530 - 12.8110i) q^{93} +(-0.283978 + 0.873993i) q^{94} +(-2.64095 + 3.42485i) q^{95} +(0.954989 + 2.45287i) q^{96} +(-2.78630 - 4.07484i) q^{97} +(1.34488 - 9.35387i) q^{98} +(-7.96833 + 10.7118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.46553 + 0.168154i 1.03629 + 0.118903i 0.615403 0.788212i \(-0.288993\pi\)
0.420883 + 0.907115i \(0.361720\pi\)
\(3\) −2.14433 1.55794i −1.23803 0.899480i −0.240562 0.970634i \(-0.577332\pi\)
−0.997465 + 0.0711538i \(0.977332\pi\)
\(4\) 0.171477 + 0.0398753i 0.0857386 + 0.0199376i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −2.88060 2.64379i −1.17600 1.07932i
\(7\) 0.537054 + 0.552615i 0.202987 + 0.208869i 0.810980 0.585073i \(-0.198934\pi\)
−0.607993 + 0.793942i \(0.708025\pi\)
\(8\) −2.53411 0.904170i −0.895945 0.319672i
\(9\) 1.24390 + 3.82832i 0.414632 + 1.27611i
\(10\) −0.966014 + 1.11484i −0.305481 + 0.352543i
\(11\) 1.91913 + 2.70498i 0.578640 + 0.815583i
\(12\) −0.305580 0.352658i −0.0882132 0.101803i
\(13\) −2.98709 + 4.95354i −0.828471 + 1.37386i 0.0970939 + 0.995275i \(0.469045\pi\)
−0.925565 + 0.378589i \(0.876409\pi\)
\(14\) 0.694144 + 0.900182i 0.185518 + 0.240584i
\(15\) 2.49639 0.890710i 0.644565 0.229980i
\(16\) −3.87776 1.90657i −0.969439 0.476641i
\(17\) 2.21013 1.80721i 0.536034 0.438313i −0.325848 0.945422i \(-0.605650\pi\)
0.861882 + 0.507109i \(0.169286\pi\)
\(18\) 1.17922 + 5.81968i 0.277945 + 1.37171i
\(19\) 4.31778 + 0.246900i 0.990567 + 0.0566427i 0.544852 0.838532i \(-0.316586\pi\)
0.445715 + 0.895175i \(0.352950\pi\)
\(20\) −0.129705 + 0.119042i −0.0290029 + 0.0266186i
\(21\) −0.290675 2.02169i −0.0634305 0.441169i
\(22\) 2.35769 + 4.28694i 0.502661 + 0.913979i
\(23\) −0.597021 + 4.15237i −0.124487 + 0.865829i 0.827886 + 0.560896i \(0.189543\pi\)
−0.952374 + 0.304933i \(0.901366\pi\)
\(24\) 4.02532 + 5.88685i 0.821666 + 1.20165i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −5.21063 + 6.75727i −1.02189 + 1.32521i
\(27\) 0.839808 2.58466i 0.161621 0.497419i
\(28\) 0.0700567 + 0.116176i 0.0132395 + 0.0219552i
\(29\) −0.773829 + 1.98756i −0.143696 + 0.369081i −0.985257 0.171082i \(-0.945274\pi\)
0.841560 + 0.540163i \(0.181637\pi\)
\(30\) 3.80831 0.885585i 0.695299 0.161685i
\(31\) 5.19895 + 2.19709i 0.933759 + 0.394610i 0.802442 0.596731i \(-0.203534\pi\)
0.131317 + 0.991340i \(0.458079\pi\)
\(32\) −0.835440 0.536905i −0.147686 0.0949123i
\(33\) 0.0989673 8.79027i 0.0172280 1.53019i
\(34\) 3.54289 2.27688i 0.607601 0.390482i
\(35\) −0.759305 + 0.131403i −0.128346 + 0.0222111i
\(36\) 0.0606444 + 0.706070i 0.0101074 + 0.117678i
\(37\) −0.684525 + 7.96977i −0.112535 + 1.31022i 0.694403 + 0.719587i \(0.255669\pi\)
−0.806938 + 0.590636i \(0.798877\pi\)
\(38\) 6.28632 + 1.08789i 1.01978 + 0.176479i
\(39\) 14.1226 5.96828i 2.26143 0.955690i
\(40\) 2.17673 1.58149i 0.344171 0.250055i
\(41\) −5.15630 + 2.91189i −0.805278 + 0.454761i −0.838643 0.544682i \(-0.816650\pi\)
0.0333647 + 0.999443i \(0.489378\pi\)
\(42\) −0.0860380 3.01172i −0.0132759 0.464719i
\(43\) −11.8141 + 3.46892i −1.80163 + 0.529005i −0.997827 0.0658941i \(-0.979010\pi\)
−0.803800 + 0.594899i \(0.797192\pi\)
\(44\) 0.221225 + 0.540369i 0.0333510 + 0.0814636i
\(45\) −3.86228 1.13407i −0.575754 0.169057i
\(46\) −1.57319 + 5.98503i −0.231954 + 0.882445i
\(47\) −0.123716 + 0.610562i −0.0180458 + 0.0890596i −0.988093 0.153856i \(-0.950831\pi\)
0.970048 + 0.242915i \(0.0781037\pi\)
\(48\) 5.34486 + 10.1296i 0.771464 + 1.46209i
\(49\) 0.182935 6.40358i 0.0261336 0.914797i
\(50\) −0.375009 1.42668i −0.0530343 0.201763i
\(51\) −7.55477 + 0.431997i −1.05788 + 0.0604917i
\(52\) −0.709742 + 0.730307i −0.0984235 + 0.101275i
\(53\) −2.28745 + 1.12466i −0.314205 + 0.154484i −0.591510 0.806298i \(-0.701468\pi\)
0.277305 + 0.960782i \(0.410559\pi\)
\(54\) 1.66538 3.64668i 0.226630 0.496251i
\(55\) −3.31613 + 0.0573803i −0.447147 + 0.00773716i
\(56\) −0.861297 1.88598i −0.115096 0.252024i
\(57\) −8.87408 7.25630i −1.17540 0.961120i
\(58\) −1.46829 + 2.78271i −0.192795 + 0.365388i
\(59\) −7.92394 4.47485i −1.03161 0.582576i −0.119632 0.992818i \(-0.538172\pi\)
−0.911977 + 0.410242i \(0.865444\pi\)
\(60\) 0.463591 0.0531921i 0.0598494 0.00686708i
\(61\) −1.45769 + 0.167254i −0.186638 + 0.0214147i −0.206806 0.978382i \(-0.566307\pi\)
0.0201687 + 0.999797i \(0.493580\pi\)
\(62\) 7.24976 + 4.09413i 0.920721 + 0.519955i
\(63\) −1.44755 + 2.74341i −0.182374 + 0.345637i
\(64\) 5.55622 + 4.54330i 0.694528 + 0.567913i
\(65\) −2.40296 5.26175i −0.298051 0.652640i
\(66\) 1.62316 12.8658i 0.199797 1.58367i
\(67\) 0.590660 1.29336i 0.0721605 0.158010i −0.870114 0.492850i \(-0.835955\pi\)
0.942275 + 0.334840i \(0.108682\pi\)
\(68\) 0.451049 0.221766i 0.0546977 0.0268931i
\(69\) 7.74937 7.97392i 0.932915 0.959947i
\(70\) −1.13488 + 0.0648948i −0.135644 + 0.00775641i
\(71\) −0.878414 3.34183i −0.104249 0.396602i 0.894475 0.447118i \(-0.147550\pi\)
−0.998723 + 0.0505160i \(0.983913\pi\)
\(72\) 0.309276 10.8261i 0.0364486 1.27587i
\(73\) −6.59814 12.5049i −0.772254 1.46358i −0.882818 0.469716i \(-0.844356\pi\)
0.110563 0.993869i \(-0.464735\pi\)
\(74\) −2.34334 + 11.5648i −0.272408 + 1.34438i
\(75\) −0.673814 + 2.56346i −0.0778054 + 0.296002i
\(76\) 0.730555 + 0.214510i 0.0838004 + 0.0246060i
\(77\) −0.464138 + 2.51326i −0.0528934 + 0.286413i
\(78\) 21.7007 6.37191i 2.45713 0.721477i
\(79\) 0.325680 + 11.4003i 0.0366419 + 1.28263i 0.785066 + 0.619412i \(0.212629\pi\)
−0.748424 + 0.663220i \(0.769189\pi\)
\(80\) 3.76259 2.12483i 0.420670 0.237563i
\(81\) 3.94210 2.86410i 0.438011 0.318234i
\(82\) −8.04635 + 3.40042i −0.888571 + 0.375513i
\(83\) 11.6130 + 2.00971i 1.27470 + 0.220595i 0.767395 0.641175i \(-0.221553\pi\)
0.507300 + 0.861769i \(0.330644\pi\)
\(84\) 0.0307713 0.358264i 0.00335743 0.0390898i
\(85\) 0.244311 + 2.84446i 0.0264993 + 0.308525i
\(86\) −17.8972 + 3.09723i −1.92990 + 0.333982i
\(87\) 4.75586 3.05640i 0.509881 0.327681i
\(88\) −2.41753 8.58996i −0.257710 0.915693i
\(89\) 8.37033 + 5.37928i 0.887253 + 0.570203i 0.902984 0.429673i \(-0.141371\pi\)
−0.0157313 + 0.999876i \(0.505008\pi\)
\(90\) −5.46958 2.31147i −0.576545 0.243650i
\(91\) −4.34163 + 1.00960i −0.455127 + 0.105835i
\(92\) −0.267952 + 0.688230i −0.0279360 + 0.0717530i
\(93\) −7.72530 12.8110i −0.801076 1.32844i
\(94\) −0.283978 + 0.873993i −0.0292900 + 0.0901455i
\(95\) −2.64095 + 3.42485i −0.270956 + 0.351382i
\(96\) 0.954989 + 2.45287i 0.0974682 + 0.250345i
\(97\) −2.78630 4.07484i −0.282906 0.413737i 0.657677 0.753300i \(-0.271539\pi\)
−0.940583 + 0.339563i \(0.889721\pi\)
\(98\) 1.34488 9.35387i 0.135854 0.944884i
\(99\) −7.96833 + 10.7118i −0.800848 + 1.07657i
\(100\) −0.0250549 0.174260i −0.00250549 0.0174260i
\(101\) 8.92231 8.18883i 0.887803 0.814819i −0.0957557 0.995405i \(-0.530527\pi\)
0.983559 + 0.180586i \(0.0577995\pi\)
\(102\) −11.1444 0.637258i −1.10346 0.0630980i
\(103\) 2.51597 + 12.4168i 0.247905 + 1.22346i 0.889686 + 0.456573i \(0.150923\pi\)
−0.641780 + 0.766889i \(0.721804\pi\)
\(104\) 12.0485 9.85199i 1.18145 0.966067i
\(105\) 1.83292 + 0.901184i 0.178874 + 0.0879466i
\(106\) −3.54144 + 1.26358i −0.343975 + 0.122730i
\(107\) 10.5110 + 13.6309i 1.01613 + 1.31775i 0.947380 + 0.320112i \(0.103720\pi\)
0.0687535 + 0.997634i \(0.478098\pi\)
\(108\) 0.247072 0.409723i 0.0237745 0.0394256i
\(109\) −6.32035 7.29407i −0.605380 0.698645i 0.367483 0.930030i \(-0.380220\pi\)
−0.972862 + 0.231385i \(0.925674\pi\)
\(110\) −4.86953 0.473527i −0.464292 0.0451490i
\(111\) 13.8843 16.0234i 1.31784 1.52087i
\(112\) −1.02897 3.16684i −0.0972283 0.299238i
\(113\) −8.86288 3.16227i −0.833749 0.297481i −0.115535 0.993303i \(-0.536858\pi\)
−0.718214 + 0.695822i \(0.755040\pi\)
\(114\) −11.7850 12.1265i −1.10377 1.13575i
\(115\) −3.09068 2.83660i −0.288208 0.264514i
\(116\) −0.211949 + 0.309965i −0.0196789 + 0.0287795i
\(117\) −22.6794 5.27386i −2.09671 0.487568i
\(118\) −10.8603 7.89047i −0.999772 0.726377i
\(119\) 2.18565 + 0.250780i 0.200358 + 0.0229889i
\(120\) −7.13149 −0.651013
\(121\) −3.63386 + 10.3824i −0.330351 + 0.943858i
\(122\) −2.16441 −0.195956
\(123\) 15.5934 + 1.78917i 1.40601 + 0.161324i
\(124\) 0.803891 + 0.584061i 0.0721916 + 0.0524502i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −2.58274 + 3.77713i −0.230089 + 0.336494i
\(127\) −7.69307 7.06064i −0.682650 0.626530i 0.257906 0.966170i \(-0.416968\pi\)
−0.940556 + 0.339640i \(0.889695\pi\)
\(128\) 8.76308 + 9.01699i 0.774554 + 0.796997i
\(129\) 30.7376 + 10.9671i 2.70629 + 0.965604i
\(130\) −2.63683 8.11532i −0.231265 0.711761i
\(131\) −1.25174 + 1.44458i −0.109365 + 0.126214i −0.807793 0.589467i \(-0.799338\pi\)
0.698428 + 0.715680i \(0.253883\pi\)
\(132\) 0.367485 1.50338i 0.0319855 0.130853i
\(133\) 2.18244 + 2.51867i 0.189242 + 0.218396i
\(134\) 1.08311 1.79614i 0.0935667 0.155163i
\(135\) 1.65954 + 2.15213i 0.142831 + 0.185226i
\(136\) −7.23474 + 2.58135i −0.620373 + 0.221349i
\(137\) −19.3368 9.50726i −1.65205 0.812260i −0.998464 0.0554102i \(-0.982353\pi\)
−0.653589 0.756850i \(-0.726738\pi\)
\(138\) 12.6978 10.3829i 1.08091 0.883853i
\(139\) 0.382305 + 1.88675i 0.0324267 + 0.160032i 0.993024 0.117912i \(-0.0376199\pi\)
−0.960597 + 0.277943i \(0.910347\pi\)
\(140\) −0.135443 0.00774492i −0.0114470 0.000654565i
\(141\) 1.21651 1.11650i 0.102449 0.0940264i
\(142\) −0.725399 5.04526i −0.0608741 0.423389i
\(143\) −19.1319 + 1.42646i −1.59989 + 0.119286i
\(144\) 2.47541 17.2169i 0.206284 1.43474i
\(145\) −1.20390 1.76064i −0.0999781 0.146213i
\(146\) −7.56703 19.4358i −0.626252 1.60852i
\(147\) −10.3687 + 13.4464i −0.855195 + 1.10904i
\(148\) −0.435177 + 1.33934i −0.0357714 + 0.110093i
\(149\) 6.84428 + 11.3500i 0.560705 + 0.929825i 0.999512 + 0.0312435i \(0.00994673\pi\)
−0.438807 + 0.898581i \(0.644599\pi\)
\(150\) −1.41855 + 3.64352i −0.115824 + 0.297492i
\(151\) 8.09652 1.88277i 0.658885 0.153217i 0.116295 0.993215i \(-0.462898\pi\)
0.542590 + 0.839997i \(0.317444\pi\)
\(152\) −10.7185 4.52968i −0.869386 0.367406i
\(153\) 9.66774 + 6.21308i 0.781590 + 0.502298i
\(154\) −1.10282 + 3.60521i −0.0888680 + 0.290516i
\(155\) −4.74815 + 3.05145i −0.381381 + 0.245099i
\(156\) 2.65970 0.460279i 0.212946 0.0368518i
\(157\) 0.273058 + 3.17916i 0.0217924 + 0.253724i 0.999118 + 0.0419838i \(0.0133678\pi\)
−0.977326 + 0.211741i \(0.932087\pi\)
\(158\) −1.43971 + 16.7622i −0.114537 + 1.33353i
\(159\) 6.65719 + 1.15207i 0.527950 + 0.0913653i
\(160\) 0.914758 0.386580i 0.0723180 0.0305618i
\(161\) −2.61530 + 1.90012i −0.206114 + 0.149751i
\(162\) 6.25887 3.53455i 0.491744 0.277700i
\(163\) 0.187902 + 6.57742i 0.0147176 + 0.515183i 0.973191 + 0.230000i \(0.0738727\pi\)
−0.958473 + 0.285183i \(0.907946\pi\)
\(164\) −1.00030 + 0.293714i −0.0781103 + 0.0229352i
\(165\) 7.20026 + 5.04330i 0.560539 + 0.392621i
\(166\) 16.6813 + 4.89807i 1.29472 + 0.380164i
\(167\) −0.724850 + 2.75762i −0.0560906 + 0.213391i −0.989289 0.145971i \(-0.953369\pi\)
0.933198 + 0.359362i \(0.117006\pi\)
\(168\) −1.09135 + 5.38601i −0.0841992 + 0.415540i
\(169\) −9.54815 18.0957i −0.734473 1.39198i
\(170\) −0.120262 + 4.20973i −0.00922369 + 0.322871i
\(171\) 4.42566 + 16.8370i 0.338439 + 1.28755i
\(172\) −2.16416 + 0.123751i −0.165016 + 0.00943596i
\(173\) 16.7966 17.2833i 1.27702 1.31402i 0.351081 0.936345i \(-0.385814\pi\)
0.925938 0.377676i \(-0.123277\pi\)
\(174\) 7.48380 3.67953i 0.567345 0.278945i
\(175\) 0.320115 0.700954i 0.0241984 0.0529872i
\(176\) −2.28470 14.1482i −0.172216 1.06646i
\(177\) 10.0199 + 21.9406i 0.753145 + 1.64916i
\(178\) 11.3624 + 9.29100i 0.851649 + 0.696390i
\(179\) −10.1266 + 19.1920i −0.756895 + 1.43447i 0.139039 + 0.990287i \(0.455599\pi\)
−0.895934 + 0.444188i \(0.853492\pi\)
\(180\) −0.617071 0.348476i −0.0459937 0.0259739i
\(181\) 13.3722 1.53432i 0.993949 0.114045i 0.398271 0.917268i \(-0.369610\pi\)
0.595679 + 0.803223i \(0.296883\pi\)
\(182\) −6.53256 + 0.749541i −0.484225 + 0.0555597i
\(183\) 3.38633 + 1.91235i 0.250324 + 0.141365i
\(184\) 5.26737 9.98277i 0.388316 0.735940i
\(185\) −6.19245 5.06354i −0.455278 0.372279i
\(186\) −9.16744 20.0739i −0.672189 1.47189i
\(187\) 9.13000 + 2.51008i 0.667651 + 0.183555i
\(188\) −0.0455608 + 0.0997642i −0.00332286 + 0.00727605i
\(189\) 1.87935 0.924012i 0.136702 0.0672120i
\(190\) −4.44629 + 4.57513i −0.322568 + 0.331915i
\(191\) 13.2008 0.754848i 0.955175 0.0546189i 0.427454 0.904037i \(-0.359411\pi\)
0.527720 + 0.849418i \(0.323047\pi\)
\(192\) −4.83615 18.3986i −0.349019 1.32781i
\(193\) −0.0719756 + 2.51947i −0.00518091 + 0.181356i 0.992880 + 0.119116i \(0.0380061\pi\)
−0.998061 + 0.0622395i \(0.980176\pi\)
\(194\) −3.39821 6.44032i −0.243977 0.462388i
\(195\) −3.04478 + 15.0266i −0.218042 + 1.07608i
\(196\) 0.286714 1.09077i 0.0204796 0.0779123i
\(197\) 7.57163 + 2.22323i 0.539456 + 0.158399i 0.540100 0.841601i \(-0.318387\pi\)
−0.000643164 1.00000i \(0.500205\pi\)
\(198\) −13.4791 + 14.3585i −0.957914 + 1.02041i
\(199\) −14.2717 + 4.19054i −1.01169 + 0.297060i −0.745246 0.666790i \(-0.767668\pi\)
−0.266447 + 0.963850i \(0.585850\pi\)
\(200\) 0.0768325 + 2.68949i 0.00543288 + 0.190176i
\(201\) −3.28156 + 1.85318i −0.231463 + 0.130713i
\(202\) 14.4529 10.5006i 1.01690 0.738823i
\(203\) −1.51395 + 0.639799i −0.106258 + 0.0449051i
\(204\) −1.31270 0.227171i −0.0919071 0.0159051i
\(205\) 0.506749 5.89998i 0.0353929 0.412072i
\(206\) 1.59929 + 18.6202i 0.111428 + 1.29733i
\(207\) −16.6392 + 2.87953i −1.15651 + 0.200141i
\(208\) 21.0275 13.5135i 1.45799 0.936995i
\(209\) 7.61853 + 12.1534i 0.526985 + 0.840665i
\(210\) 2.53466 + 1.62892i 0.174908 + 0.112406i
\(211\) 21.6385 + 9.14453i 1.48966 + 0.629535i 0.973855 0.227171i \(-0.0729477\pi\)
0.515804 + 0.856706i \(0.327493\pi\)
\(212\) −0.437091 + 0.101641i −0.0300195 + 0.00698074i
\(213\) −3.32278 + 8.53450i −0.227673 + 0.584774i
\(214\) 13.1120 + 21.7439i 0.896321 + 1.48638i
\(215\) 3.80487 11.7102i 0.259490 0.798628i
\(216\) −4.46514 + 5.79050i −0.303815 + 0.393994i
\(217\) 1.57797 + 4.05298i 0.107119 + 0.275134i
\(218\) −8.03613 11.7525i −0.544275 0.795977i
\(219\) −5.33332 + 37.0941i −0.360393 + 2.50659i
\(220\) −0.570928 0.122392i −0.0384920 0.00825168i
\(221\) 2.35024 + 16.3462i 0.158094 + 1.09957i
\(222\) 23.0423 21.1480i 1.54650 1.41936i
\(223\) −0.352194 0.0201392i −0.0235846 0.00134862i 0.0452925 0.998974i \(-0.485578\pi\)
−0.0688771 + 0.997625i \(0.521942\pi\)
\(224\) −0.151975 0.750024i −0.0101542 0.0501131i
\(225\) 3.11618 2.54808i 0.207745 0.169872i
\(226\) −12.4571 6.12473i −0.828631 0.407411i
\(227\) 17.1344 6.11353i 1.13725 0.405770i 0.300731 0.953709i \(-0.402769\pi\)
0.836518 + 0.547940i \(0.184588\pi\)
\(228\) −1.23235 1.59815i −0.0816147 0.105840i
\(229\) 7.50742 12.4497i 0.496104 0.822696i −0.503031 0.864268i \(-0.667782\pi\)
0.999136 + 0.0415717i \(0.0132365\pi\)
\(230\) −4.05250 4.67683i −0.267214 0.308381i
\(231\) 4.91079 4.66616i 0.323106 0.307011i
\(232\) 3.75807 4.33704i 0.246729 0.284741i
\(233\) 0.734045 + 2.25916i 0.0480889 + 0.148002i 0.972218 0.234079i \(-0.0752074\pi\)
−0.924129 + 0.382081i \(0.875207\pi\)
\(234\) −32.3504 11.5426i −2.11481 0.754564i
\(235\) −0.434171 0.446751i −0.0283222 0.0291429i
\(236\) −1.18034 1.08330i −0.0768335 0.0705171i
\(237\) 17.0627 24.9533i 1.10834 1.62089i
\(238\) 3.16096 + 0.735050i 0.204895 + 0.0476462i
\(239\) 2.34716 + 1.70531i 0.151825 + 0.110307i 0.661104 0.750294i \(-0.270088\pi\)
−0.509279 + 0.860601i \(0.670088\pi\)
\(240\) −11.3786 1.30557i −0.734485 0.0842743i
\(241\) 1.46346 0.0942700 0.0471350 0.998889i \(-0.484991\pi\)
0.0471350 + 0.998889i \(0.484991\pi\)
\(242\) −7.07138 + 14.6047i −0.454566 + 0.938827i
\(243\) −21.0683 −1.35153
\(244\) −0.256629 0.0294454i −0.0164290 0.00188505i
\(245\) 5.18272 + 3.76546i 0.331112 + 0.240567i
\(246\) 22.5517 + 5.24417i 1.43784 + 0.334356i
\(247\) −14.1206 + 20.6508i −0.898475 + 1.31398i
\(248\) −11.1882 10.2684i −0.710450 0.652046i
\(249\) −21.7711 22.4019i −1.37969 1.41966i
\(250\) 1.38936 + 0.495722i 0.0878706 + 0.0313522i
\(251\) 1.75241 + 5.39337i 0.110611 + 0.340426i 0.991006 0.133814i \(-0.0427226\pi\)
−0.880395 + 0.474241i \(0.842723\pi\)
\(252\) −0.357616 + 0.412710i −0.0225277 + 0.0259983i
\(253\) −12.3779 + 6.35402i −0.778189 + 0.399474i
\(254\) −10.0871 11.6412i −0.632924 0.730433i
\(255\) 3.90763 6.48008i 0.244706 0.405799i
\(256\) 2.56074 + 3.32082i 0.160046 + 0.207552i
\(257\) 13.3600 4.76682i 0.833371 0.297346i 0.115313 0.993329i \(-0.463213\pi\)
0.718058 + 0.695983i \(0.245031\pi\)
\(258\) 43.2027 + 21.2413i 2.68968 + 1.32243i
\(259\) −4.77185 + 3.90192i −0.296508 + 0.242453i
\(260\) −0.202239 0.998089i −0.0125423 0.0618989i
\(261\) −8.57159 0.490141i −0.530568 0.0303390i
\(262\) −2.07737 + 1.90659i −0.128340 + 0.117790i
\(263\) −3.76641 26.1959i −0.232246 1.61531i −0.688347 0.725382i \(-0.741663\pi\)
0.456101 0.889928i \(-0.349246\pi\)
\(264\) −8.19869 + 22.1861i −0.504595 + 1.36546i
\(265\) 0.362757 2.52303i 0.0222840 0.154988i
\(266\) 2.77491 + 4.05817i 0.170140 + 0.248822i
\(267\) −9.56810 24.5755i −0.585558 1.50399i
\(268\) 0.152858 0.198230i 0.00933728 0.0121088i
\(269\) −2.74137 + 8.43706i −0.167144 + 0.514417i −0.999188 0.0402932i \(-0.987171\pi\)
0.832044 + 0.554710i \(0.187171\pi\)
\(270\) 2.07022 + 3.43307i 0.125990 + 0.208930i
\(271\) −6.47788 + 16.6383i −0.393503 + 1.01070i 0.586185 + 0.810177i \(0.300629\pi\)
−0.979688 + 0.200527i \(0.935735\pi\)
\(272\) −12.0159 + 2.79418i −0.728571 + 0.169422i
\(273\) 10.8828 + 4.59910i 0.658656 + 0.278350i
\(274\) −26.7399 17.1847i −1.61542 1.03817i
\(275\) 1.82440 2.76976i 0.110015 0.167023i
\(276\) 1.64680 1.05834i 0.0991259 0.0637043i
\(277\) −18.7688 + 3.24806i −1.12771 + 0.195157i −0.703697 0.710500i \(-0.748469\pi\)
−0.424010 + 0.905658i \(0.639378\pi\)
\(278\) 0.243015 + 2.82937i 0.0145751 + 0.169694i
\(279\) −1.94422 + 22.6362i −0.116398 + 1.35519i
\(280\) 2.04298 + 0.353551i 0.122091 + 0.0211287i
\(281\) −3.60030 + 1.52150i −0.214776 + 0.0907649i −0.494003 0.869460i \(-0.664467\pi\)
0.279228 + 0.960225i \(0.409922\pi\)
\(282\) 1.97057 1.43171i 0.117346 0.0852568i
\(283\) 6.14760 3.47171i 0.365437 0.206372i −0.298066 0.954545i \(-0.596342\pi\)
0.663503 + 0.748173i \(0.269069\pi\)
\(284\) −0.0173713 0.608075i −0.00103080 0.0360826i
\(285\) 10.9988 3.22953i 0.651512 0.191301i
\(286\) −28.2782 1.12658i −1.67212 0.0666162i
\(287\) −4.37837 1.28560i −0.258447 0.0758868i
\(288\) 1.01624 3.86618i 0.0598826 0.227817i
\(289\) −1.75739 + 8.67308i −0.103376 + 0.510181i
\(290\) −1.46829 2.78271i −0.0862207 0.163406i
\(291\) −0.373628 + 13.0787i −0.0219025 + 0.766687i
\(292\) −0.632795 2.40740i −0.0370315 0.140883i
\(293\) 12.7680 0.730098i 0.745912 0.0426528i 0.320000 0.947417i \(-0.396317\pi\)
0.425912 + 0.904765i \(0.359953\pi\)
\(294\) −17.4567 + 17.9625i −1.01809 + 1.04759i
\(295\) 8.16648 4.01519i 0.475471 0.233773i
\(296\) 8.94070 19.5774i 0.519667 1.13791i
\(297\) 8.60317 2.68864i 0.499207 0.156011i
\(298\) 8.12195 + 17.7846i 0.470492 + 1.03023i
\(299\) −18.7856 15.3609i −1.08640 0.888343i
\(300\) −0.217762 + 0.412705i −0.0125725 + 0.0238276i
\(301\) −8.26176 4.66563i −0.476200 0.268923i
\(302\) 12.1823 1.39779i 0.701012 0.0804336i
\(303\) −31.8901 + 3.65905i −1.83204 + 0.210207i
\(304\) −16.2726 9.18955i −0.933296 0.527057i
\(305\) 0.684717 1.29768i 0.0392068 0.0743052i
\(306\) 13.1236 + 10.7311i 0.750227 + 0.613457i
\(307\) −4.18052 9.15406i −0.238595 0.522450i 0.752019 0.659142i \(-0.229080\pi\)
−0.990614 + 0.136692i \(0.956353\pi\)
\(308\) −0.179806 + 0.412459i −0.0102454 + 0.0235021i
\(309\) 13.9496 30.5454i 0.793565 1.73767i
\(310\) −7.47167 + 3.67357i −0.424362 + 0.208645i
\(311\) 18.7212 19.2637i 1.06158 1.09234i 0.0660598 0.997816i \(-0.478957\pi\)
0.995522 0.0945265i \(-0.0301337\pi\)
\(312\) −41.1847 + 2.35503i −2.33163 + 0.133327i
\(313\) −6.72935 25.6011i −0.380366 1.44706i −0.831959 0.554837i \(-0.812781\pi\)
0.451594 0.892224i \(-0.350856\pi\)
\(314\) −0.134413 + 4.70507i −0.00758536 + 0.265522i
\(315\) −1.44755 2.74341i −0.0815601 0.154574i
\(316\) −0.398743 + 1.96787i −0.0224310 + 0.110702i
\(317\) −0.730206 + 2.77799i −0.0410124 + 0.156028i −0.984501 0.175376i \(-0.943886\pi\)
0.943489 + 0.331404i \(0.107522\pi\)
\(318\) 9.56259 + 2.80783i 0.536243 + 0.157455i
\(319\) −6.86141 + 1.72120i −0.384165 + 0.0963689i
\(320\) −6.88654 + 2.02207i −0.384969 + 0.113037i
\(321\) −1.30282 45.6045i −0.0727161 2.54540i
\(322\) −4.15231 + 2.34492i −0.231399 + 0.130677i
\(323\) 9.98903 7.25746i 0.555805 0.403816i
\(324\) 0.790187 0.333936i 0.0438993 0.0185520i
\(325\) 5.69977 + 0.986383i 0.316166 + 0.0547147i
\(326\) −0.830643 + 9.67100i −0.0460051 + 0.535627i
\(327\) 2.18913 + 25.4876i 0.121059 + 1.40947i
\(328\) 15.6995 2.71690i 0.866859 0.150016i
\(329\) −0.403848 + 0.259537i −0.0222649 + 0.0143088i
\(330\) 9.70414 + 8.60186i 0.534195 + 0.473517i
\(331\) −16.1238 10.3621i −0.886242 0.569553i 0.0164386 0.999865i \(-0.494767\pi\)
−0.902680 + 0.430312i \(0.858404\pi\)
\(332\) 1.91123 + 0.807693i 0.104892 + 0.0443279i
\(333\) −31.3623 + 7.29299i −1.71864 + 0.399653i
\(334\) −1.52599 + 3.91948i −0.0834986 + 0.214464i
\(335\) 0.734242 + 1.21760i 0.0401159 + 0.0665248i
\(336\) −2.72731 + 8.39381i −0.148787 + 0.457920i
\(337\) 0.721511 0.935672i 0.0393032 0.0509693i −0.771840 0.635816i \(-0.780664\pi\)
0.811144 + 0.584847i \(0.198845\pi\)
\(338\) −10.9502 28.1254i −0.595613 1.52982i
\(339\) 14.0783 + 20.5888i 0.764627 + 1.11823i
\(340\) −0.0715301 + 0.497502i −0.00387926 + 0.0269809i
\(341\) 4.03437 + 18.2796i 0.218473 + 0.989895i
\(342\) 3.65473 + 25.4192i 0.197625 + 1.37452i
\(343\) 7.61104 6.98535i 0.410958 0.377174i
\(344\) 33.0747 + 1.89128i 1.78327 + 0.101971i
\(345\) 2.20816 + 10.8977i 0.118883 + 0.586713i
\(346\) 27.5221 22.5047i 1.47960 1.20986i
\(347\) 13.8676 + 6.81824i 0.744452 + 0.366022i 0.773702 0.633550i \(-0.218403\pi\)
−0.0292501 + 0.999572i \(0.509312\pi\)
\(348\) 0.937396 0.334462i 0.0502497 0.0179291i
\(349\) −11.5171 14.9357i −0.616497 0.799488i 0.375355 0.926881i \(-0.377521\pi\)
−0.991852 + 0.127393i \(0.959339\pi\)
\(350\) 0.587006 0.973441i 0.0313768 0.0520326i
\(351\) 10.2946 + 11.8807i 0.549487 + 0.634142i
\(352\) −0.151002 3.29024i −0.00804842 0.175371i
\(353\) 1.03812 1.19806i 0.0552536 0.0637661i −0.727450 0.686161i \(-0.759295\pi\)
0.782704 + 0.622395i \(0.213840\pi\)
\(354\) 10.9951 + 33.8395i 0.584384 + 1.79855i
\(355\) 3.25440 + 1.16117i 0.172726 + 0.0616284i
\(356\) 1.22082 + 1.25619i 0.0647033 + 0.0665781i
\(357\) −4.29604 3.94287i −0.227371 0.208679i
\(358\) −18.0680 + 26.4236i −0.954922 + 1.39653i
\(359\) −5.56333 1.29370i −0.293621 0.0682787i 0.0770985 0.997023i \(-0.475434\pi\)
−0.370720 + 0.928745i \(0.620889\pi\)
\(360\) 8.76206 + 6.36601i 0.461801 + 0.335518i
\(361\) −0.293885 0.0337202i −0.0154677 0.00177475i
\(362\) 19.8554 1.04358
\(363\) 23.9675 16.6020i 1.25797 0.871378i
\(364\) −0.784749 −0.0411320
\(365\) 14.0467 + 1.61171i 0.735238 + 0.0843607i
\(366\) 4.64119 + 3.37202i 0.242599 + 0.176259i
\(367\) 8.34088 + 1.93959i 0.435390 + 0.101246i 0.438462 0.898750i \(-0.355523\pi\)
−0.00307203 + 0.999995i \(0.500978\pi\)
\(368\) 10.2319 14.9636i 0.533373 0.780033i
\(369\) −17.5615 16.1178i −0.914218 0.839061i
\(370\) −8.22376 8.46205i −0.427533 0.439921i
\(371\) −1.84999 0.660074i −0.0960465 0.0342693i
\(372\) −0.813871 2.50484i −0.0421972 0.129870i
\(373\) −19.8223 + 22.8762i −1.02636 + 1.18448i −0.0437059 + 0.999044i \(0.513916\pi\)
−0.982656 + 0.185440i \(0.940629\pi\)
\(374\) 12.9582 + 5.21383i 0.670052 + 0.269601i
\(375\) −1.73573 2.00314i −0.0896327 0.103442i
\(376\) 0.865562 1.43537i 0.0446379 0.0740237i
\(377\) −7.53398 9.77023i −0.388019 0.503193i
\(378\) 2.90961 1.03815i 0.149654 0.0533966i
\(379\) 9.31843 + 4.58156i 0.478655 + 0.235339i 0.664569 0.747227i \(-0.268615\pi\)
−0.185913 + 0.982566i \(0.559524\pi\)
\(380\) −0.589429 + 0.481974i −0.0302371 + 0.0247247i
\(381\) 5.49638 + 27.1257i 0.281588 + 1.38969i
\(382\) 19.4731 + 1.11351i 0.996328 + 0.0569721i
\(383\) 21.7366 19.9497i 1.11069 1.01938i 0.111018 0.993818i \(-0.464589\pi\)
0.999673 0.0255642i \(-0.00813824\pi\)
\(384\) −4.74293 32.9878i −0.242036 1.68340i
\(385\) −1.81265 1.80173i −0.0923811 0.0918245i
\(386\) −0.529141 + 3.68026i −0.0269326 + 0.187320i
\(387\) −27.9756 40.9130i −1.42208 2.07972i
\(388\) −0.315302 0.809846i −0.0160070 0.0411137i
\(389\) −1.48736 + 1.92884i −0.0754121 + 0.0977961i −0.828097 0.560585i \(-0.810576\pi\)
0.752685 + 0.658381i \(0.228758\pi\)
\(390\) −6.98900 + 21.5099i −0.353902 + 1.08920i
\(391\) 6.18472 + 10.2562i 0.312775 + 0.518678i
\(392\) −6.25350 + 16.0620i −0.315850 + 0.811253i
\(393\) 4.93471 1.14752i 0.248923 0.0578846i
\(394\) 10.7226 + 4.53141i 0.540197 + 0.228289i
\(395\) −9.59444 6.16597i −0.482749 0.310244i
\(396\) −1.79352 + 1.51908i −0.0901278 + 0.0763368i
\(397\) −29.9672 + 19.2587i −1.50401 + 0.966568i −0.509663 + 0.860374i \(0.670230\pi\)
−0.994345 + 0.106194i \(0.966134\pi\)
\(398\) −21.6202 + 3.74153i −1.08372 + 0.187546i
\(399\) −0.755916 8.80097i −0.0378431 0.440600i
\(400\) −0.369779 + 4.30526i −0.0184890 + 0.215263i
\(401\) −8.14019 1.40871i −0.406501 0.0703478i −0.0363957 0.999337i \(-0.511588\pi\)
−0.370106 + 0.928990i \(0.620679\pi\)
\(402\) −5.12084 + 2.16408i −0.255404 + 0.107935i
\(403\) −26.4131 + 19.1903i −1.31573 + 0.955936i
\(404\) 1.85650 1.04842i 0.0923646 0.0521607i
\(405\) 0.139145 + 4.87072i 0.00691418 + 0.242028i
\(406\) −2.32632 + 0.683068i −0.115453 + 0.0339001i
\(407\) −22.8718 + 13.4434i −1.13371 + 0.666366i
\(408\) 19.5352 + 5.73606i 0.967138 + 0.283977i
\(409\) −3.21702 + 12.2388i −0.159072 + 0.605171i 0.839058 + 0.544042i \(0.183107\pi\)
−0.998130 + 0.0611295i \(0.980530\pi\)
\(410\) 1.73476 8.56138i 0.0856737 0.422816i
\(411\) 26.6526 + 50.5123i 1.31468 + 2.49159i
\(412\) −0.0636922 + 2.22952i −0.00313789 + 0.109841i
\(413\) −1.78271 6.78213i −0.0877214 0.333727i
\(414\) −24.8695 + 1.42209i −1.22227 + 0.0698918i
\(415\) −8.21385 + 8.45186i −0.403202 + 0.414885i
\(416\) 5.15512 2.53460i 0.252750 0.124269i
\(417\) 2.11966 4.64142i 0.103800 0.227291i
\(418\) 9.12155 + 19.0922i 0.446150 + 0.933829i
\(419\) −7.24447 15.8632i −0.353915 0.774967i −0.999932 0.0116434i \(-0.996294\pi\)
0.646017 0.763323i \(-0.276434\pi\)
\(420\) 0.278368 + 0.227621i 0.0135830 + 0.0111067i
\(421\) −1.87506 + 3.55364i −0.0913850 + 0.173194i −0.925876 0.377828i \(-0.876671\pi\)
0.834491 + 0.551022i \(0.185762\pi\)
\(422\) 30.1742 + 17.0402i 1.46886 + 0.829503i
\(423\) −2.49131 + 0.285852i −0.121132 + 0.0138986i
\(424\) 6.81353 0.781780i 0.330894 0.0379666i
\(425\) −2.48592 1.40387i −0.120585 0.0680975i
\(426\) −6.30475 + 11.9488i −0.305466 + 0.578922i
\(427\) −0.875283 0.715715i −0.0423579 0.0346359i
\(428\) 1.25886 + 2.75651i 0.0608491 + 0.133241i
\(429\) 43.2473 + 26.7476i 2.08800 + 1.29139i
\(430\) 7.54526 16.5218i 0.363865 0.796752i
\(431\) 32.0414 15.7537i 1.54338 0.758830i 0.546479 0.837473i \(-0.315968\pi\)
0.996903 + 0.0786428i \(0.0250587\pi\)
\(432\) −8.18440 + 8.42155i −0.393772 + 0.405182i
\(433\) 12.4354 0.711081i 0.597606 0.0341724i 0.244331 0.969692i \(-0.421432\pi\)
0.353275 + 0.935520i \(0.385068\pi\)
\(434\) 1.63103 + 6.20510i 0.0782922 + 0.297854i
\(435\) −0.161436 + 5.65099i −0.00774026 + 0.270944i
\(436\) −0.792942 1.50279i −0.0379750 0.0719707i
\(437\) −3.60302 + 17.7816i −0.172356 + 0.850610i
\(438\) −14.0537 + 53.4657i −0.671510 + 2.55469i
\(439\) 7.86639 + 2.30978i 0.375442 + 0.110240i 0.464009 0.885830i \(-0.346410\pi\)
−0.0885668 + 0.996070i \(0.528229\pi\)
\(440\) 8.45533 + 2.85294i 0.403092 + 0.136008i
\(441\) 24.7425 7.26505i 1.17821 0.345955i
\(442\) 0.695655 + 24.3511i 0.0330889 + 1.15826i
\(443\) 4.05011 2.28720i 0.192426 0.108668i −0.392509 0.919748i \(-0.628393\pi\)
0.584935 + 0.811080i \(0.301120\pi\)
\(444\) 3.01978 2.19400i 0.143312 0.104123i
\(445\) −9.16502 + 3.87317i −0.434464 + 0.183606i
\(446\) −0.512764 0.0887373i −0.0242801 0.00420183i
\(447\) 3.00624 35.0010i 0.142190 1.65549i
\(448\) 0.473293 + 5.51045i 0.0223610 + 0.260344i
\(449\) 36.2404 6.27165i 1.71029 0.295978i 0.770428 0.637527i \(-0.220043\pi\)
0.939864 + 0.341550i \(0.110952\pi\)
\(450\) 4.99532 3.21030i 0.235482 0.151335i
\(451\) −17.7722 8.35938i −0.836862 0.393628i
\(452\) −1.39368 0.895667i −0.0655534 0.0421286i
\(453\) −20.2948 8.57667i −0.953534 0.402967i
\(454\) 26.1390 6.07835i 1.22676 0.285271i
\(455\) 1.61721 4.15376i 0.0758158 0.194731i
\(456\) 15.9270 + 26.4120i 0.745850 + 1.23685i
\(457\) 2.24594 6.91230i 0.105061 0.323344i −0.884684 0.466191i \(-0.845626\pi\)
0.989745 + 0.142848i \(0.0456259\pi\)
\(458\) 13.0958 16.9829i 0.611927 0.793561i
\(459\) −2.81495 7.23014i −0.131391 0.337474i
\(460\) −0.416871 0.609654i −0.0194367 0.0284253i
\(461\) −3.36600 + 23.4111i −0.156770 + 1.09036i 0.747765 + 0.663964i \(0.231127\pi\)
−0.904535 + 0.426399i \(0.859782\pi\)
\(462\) 7.98154 6.01262i 0.371335 0.279733i
\(463\) 5.59622 + 38.9226i 0.260078 + 1.80889i 0.532196 + 0.846621i \(0.321367\pi\)
−0.272118 + 0.962264i \(0.587724\pi\)
\(464\) 6.79014 6.23194i 0.315224 0.289310i
\(465\) 14.9356 + 0.854048i 0.692621 + 0.0396055i
\(466\) 0.695879 + 3.43430i 0.0322360 + 0.159091i
\(467\) −2.77063 + 2.26553i −0.128209 + 0.104836i −0.694943 0.719065i \(-0.744570\pi\)
0.566734 + 0.823901i \(0.308207\pi\)
\(468\) −3.67869 1.80869i −0.170048 0.0836068i
\(469\) 1.03195 0.368199i 0.0476510 0.0170018i
\(470\) −0.561167 0.727735i −0.0258847 0.0335679i
\(471\) 4.36743 7.24257i 0.201240 0.333720i
\(472\) 16.0341 + 18.5044i 0.738031 + 0.851733i
\(473\) −32.0561 25.2995i −1.47394 1.16327i
\(474\) 29.2018 33.7007i 1.34128 1.54792i
\(475\) −1.33645 4.11316i −0.0613204 0.188725i
\(476\) 0.364789 + 0.130156i 0.0167201 + 0.00596571i
\(477\) −7.15090 7.35811i −0.327417 0.336905i
\(478\) 3.15307 + 2.89386i 0.144218 + 0.132362i
\(479\) 1.40012 2.04761i 0.0639732 0.0935579i −0.792159 0.610315i \(-0.791043\pi\)
0.856132 + 0.516757i \(0.172861\pi\)
\(480\) −2.56381 0.596189i −0.117021 0.0272122i
\(481\) −37.4339 27.1973i −1.70684 1.24009i
\(482\) 2.14475 + 0.246087i 0.0976907 + 0.0112090i
\(483\) 8.56834 0.389873
\(484\) −1.03713 + 1.63545i −0.0471422 + 0.0743386i
\(485\) 4.93637 0.224149
\(486\) −30.8762 3.54271i −1.40057 0.160701i
\(487\) −20.4217 14.8372i −0.925394 0.672338i 0.0194666 0.999811i \(-0.493803\pi\)
−0.944861 + 0.327472i \(0.893803\pi\)
\(488\) 3.84517 + 0.894155i 0.174063 + 0.0404765i
\(489\) 9.84434 14.3969i 0.445176 0.651050i
\(490\) 6.96225 + 6.38989i 0.314522 + 0.288666i
\(491\) 11.0322 + 11.3519i 0.497878 + 0.512305i 0.918763 0.394809i \(-0.129189\pi\)
−0.420885 + 0.907114i \(0.638280\pi\)
\(492\) 2.60256 + 0.928591i 0.117332 + 0.0418641i
\(493\) 1.88169 + 5.79124i 0.0847469 + 0.260824i
\(494\) −24.1667 + 27.8899i −1.08731 + 1.25483i
\(495\) −4.34459 12.6238i −0.195275 0.567398i
\(496\) −15.9714 18.4319i −0.717135 0.827618i
\(497\) 1.37499 2.28017i 0.0616768 0.102280i
\(498\) −28.1392 36.4916i −1.26095 1.63523i
\(499\) −4.78381 + 1.70686i −0.214153 + 0.0764095i −0.440947 0.897533i \(-0.645357\pi\)
0.226794 + 0.973943i \(0.427175\pi\)
\(500\) 0.157989 + 0.0776780i 0.00706549 + 0.00347387i
\(501\) 5.85053 4.78395i 0.261382 0.213731i
\(502\) 1.66130 + 8.19882i 0.0741472 + 0.365931i
\(503\) 24.9205 + 1.42501i 1.11115 + 0.0635380i 0.603009 0.797735i \(-0.293968\pi\)
0.508143 + 0.861273i \(0.330332\pi\)
\(504\) 6.14876 5.64328i 0.273888 0.251372i
\(505\) 1.72351 + 11.9872i 0.0766950 + 0.533425i
\(506\) −19.2086 + 7.23062i −0.853925 + 0.321440i
\(507\) −7.71783 + 53.6787i −0.342761 + 2.38395i
\(508\) −1.03764 1.51750i −0.0460379 0.0673282i
\(509\) 1.96523 + 5.04766i 0.0871074 + 0.223734i 0.968679 0.248317i \(-0.0798775\pi\)
−0.881571 + 0.472051i \(0.843514\pi\)
\(510\) 6.81640 8.83967i 0.301835 0.391427i
\(511\) 3.36683 10.3620i 0.148940 0.458389i
\(512\) −9.79162 16.2376i −0.432732 0.717606i
\(513\) 4.26426 10.9527i 0.188272 0.483572i
\(514\) 20.3810 4.73939i 0.898966 0.209046i
\(515\) −11.6698 4.93171i −0.514234 0.217317i
\(516\) 4.83347 + 3.10629i 0.212782 + 0.136747i
\(517\) −1.88899 + 0.837099i −0.0830775 + 0.0368156i
\(518\) −7.64940 + 4.91597i −0.336096 + 0.215995i
\(519\) −62.9437 + 10.8928i −2.76292 + 0.478142i
\(520\) 1.33186 + 15.5066i 0.0584060 + 0.680008i
\(521\) 2.76159 32.1526i 0.120987 1.40863i −0.644217 0.764843i \(-0.722817\pi\)
0.765205 0.643787i \(-0.222638\pi\)
\(522\) −12.4795 2.15966i −0.546213 0.0945258i
\(523\) −34.0348 + 14.3832i −1.48824 + 0.628935i −0.973557 0.228445i \(-0.926636\pi\)
−0.514683 + 0.857381i \(0.672090\pi\)
\(524\) −0.272247 + 0.197799i −0.0118932 + 0.00864089i
\(525\) −1.77848 + 1.00435i −0.0776192 + 0.0438336i
\(526\) −1.11483 39.0242i −0.0486090 1.70154i
\(527\) 15.4609 4.53974i 0.673489 0.197754i
\(528\) −17.1430 + 33.8978i −0.746053 + 1.47521i
\(529\) 5.18259 + 1.52174i 0.225330 + 0.0661628i
\(530\) 0.955888 3.63658i 0.0415211 0.157963i
\(531\) 7.27461 35.9016i 0.315691 1.55800i
\(532\) 0.273806 + 0.518920i 0.0118710 + 0.0224980i
\(533\) 0.978158 34.2400i 0.0423687 1.48310i
\(534\) −9.88987 37.6250i −0.427977 1.62819i
\(535\) −17.1847 + 0.982659i −0.742961 + 0.0424840i
\(536\) −2.66622 + 2.74348i −0.115163 + 0.118500i
\(537\) 51.6147 25.3772i 2.22734 1.09511i
\(538\) −5.43628 + 11.9038i −0.234375 + 0.513209i
\(539\) 17.6726 11.7945i 0.761215 0.508024i
\(540\) 0.198757 + 0.435216i 0.00855312 + 0.0187287i
\(541\) −17.4196 14.2439i −0.748926 0.612394i 0.179566 0.983746i \(-0.442531\pi\)
−0.928492 + 0.371352i \(0.878894\pi\)
\(542\) −12.2913 + 23.2946i −0.527957 + 1.00059i
\(543\) −31.0648 17.5431i −1.33312 0.752847i
\(544\) −2.81673 + 0.323189i −0.120766 + 0.0138566i
\(545\) 9.58853 1.10018i 0.410727 0.0471266i
\(546\) 15.1757 + 8.57010i 0.649459 + 0.366767i
\(547\) 14.8925 28.2244i 0.636756 1.20679i −0.328258 0.944588i \(-0.606461\pi\)
0.965014 0.262199i \(-0.0844477\pi\)
\(548\) −2.93671 2.40134i −0.125450 0.102580i
\(549\) −2.45351 5.37244i −0.104713 0.229290i
\(550\) 3.13946 3.75238i 0.133867 0.160002i
\(551\) −3.83195 + 8.39081i −0.163247 + 0.357460i
\(552\) −26.8476 + 13.2001i −1.14271 + 0.561832i
\(553\) −6.12506 + 6.30254i −0.260464 + 0.268011i
\(554\) −28.0524 + 1.60409i −1.19183 + 0.0681514i
\(555\) 5.38992 + 20.5054i 0.228789 + 0.870405i
\(556\) −0.00967813 + 0.338779i −0.000410444 + 0.0143674i
\(557\) −14.5064 27.4927i −0.614657 1.16490i −0.972889 0.231272i \(-0.925711\pi\)
0.358233 0.933632i \(-0.383380\pi\)
\(558\) −6.65568 + 32.8471i −0.281757 + 1.39053i
\(559\) 18.1063 68.8834i 0.765814 2.91346i
\(560\) 3.19493 + 0.938116i 0.135010 + 0.0396426i
\(561\) −15.6671 19.6065i −0.661467 0.827785i
\(562\) −5.53218 + 1.62440i −0.233361 + 0.0685210i
\(563\) −0.225722 7.90131i −0.00951306 0.333001i −0.990384 0.138343i \(-0.955822\pi\)
0.980871 0.194657i \(-0.0623595\pi\)
\(564\) 0.253124 0.142946i 0.0106585 0.00601911i
\(565\) 7.61296 5.53114i 0.320279 0.232697i
\(566\) 9.59327 4.05415i 0.403235 0.170409i
\(567\) 3.69987 + 0.640287i 0.155380 + 0.0268895i
\(568\) −0.795584 + 9.26282i −0.0333820 + 0.388659i
\(569\) −1.78454 20.7771i −0.0748120 0.871020i −0.933513 0.358543i \(-0.883274\pi\)
0.858701 0.512477i \(-0.171272\pi\)
\(570\) 16.6621 2.88349i 0.697898 0.120776i
\(571\) −14.5542 + 9.35343i −0.609075 + 0.391429i −0.808510 0.588482i \(-0.799726\pi\)
0.199435 + 0.979911i \(0.436089\pi\)
\(572\) −3.33756 0.518284i −0.139550 0.0216705i
\(573\) −29.4828 18.9474i −1.23166 0.791541i
\(574\) −6.20044 2.62033i −0.258802 0.109370i
\(575\) 4.08605 0.950170i 0.170400 0.0396248i
\(576\) −10.4818 + 26.9224i −0.436743 + 1.12177i
\(577\) 19.2256 + 31.8821i 0.800374 + 1.32727i 0.941409 + 0.337266i \(0.109502\pi\)
−0.141035 + 0.990005i \(0.545043\pi\)
\(578\) −4.03392 + 12.4151i −0.167789 + 0.516402i
\(579\) 4.07954 5.29044i 0.169540 0.219863i
\(580\) −0.136234 0.349915i −0.00565683 0.0145294i
\(581\) 5.12622 + 7.49686i 0.212671 + 0.311022i
\(582\) −2.74680 + 19.1044i −0.113858 + 0.791902i
\(583\) −7.43210 4.02913i −0.307806 0.166869i
\(584\) 5.41392 + 37.6546i 0.224030 + 1.55816i
\(585\) 17.1546 15.7444i 0.709257 0.650950i
\(586\) 18.8346 + 1.07700i 0.778050 + 0.0444905i
\(587\) 6.21103 + 30.6526i 0.256357 + 1.26517i 0.876776 + 0.480899i \(0.159690\pi\)
−0.620419 + 0.784270i \(0.713038\pi\)
\(588\) −2.31417 + 1.89229i −0.0954348 + 0.0780367i
\(589\) 21.9055 + 10.7702i 0.902599 + 0.443778i
\(590\) 12.6434 4.51115i 0.520520 0.185721i
\(591\) −12.7724 16.5635i −0.525386 0.681332i
\(592\) 17.8493 29.5998i 0.733602 1.21654i
\(593\) −13.3453 15.4013i −0.548027 0.632457i 0.412395 0.911005i \(-0.364692\pi\)
−0.960422 + 0.278548i \(0.910147\pi\)
\(594\) 13.0603 2.49363i 0.535871 0.102315i
\(595\) −1.44069 + 1.66264i −0.0590624 + 0.0681616i
\(596\) 0.721054 + 2.21918i 0.0295355 + 0.0909010i
\(597\) 37.1318 + 13.2486i 1.51970 + 0.542229i
\(598\) −24.9478 25.6707i −1.02019 1.04975i
\(599\) 4.06294 + 3.72893i 0.166007 + 0.152360i 0.754873 0.655871i \(-0.227698\pi\)
−0.588866 + 0.808230i \(0.700426\pi\)
\(600\) 4.02532 5.88685i 0.164333 0.240330i
\(601\) −41.4866 9.64731i −1.69228 0.393522i −0.733951 0.679203i \(-0.762326\pi\)
−0.958325 + 0.285681i \(0.907780\pi\)
\(602\) −11.3233 8.22687i −0.461504 0.335302i
\(603\) 5.68613 + 0.652422i 0.231557 + 0.0265687i
\(604\) 1.46344 0.0595467
\(605\) −6.51930 8.85995i −0.265047 0.360208i
\(606\) −47.3512 −1.92351
\(607\) 46.2390 + 5.30544i 1.87678 + 0.215341i 0.975824 0.218559i \(-0.0701356\pi\)
0.900961 + 0.433900i \(0.142863\pi\)
\(608\) −3.47469 2.52451i −0.140917 0.102382i
\(609\) 4.24317 + 0.986706i 0.171942 + 0.0399834i
\(610\) 1.22168 1.78666i 0.0494645 0.0723396i
\(611\) −2.65489 2.43664i −0.107405 0.0985758i
\(612\) 1.41005 + 1.45090i 0.0569978 + 0.0586494i
\(613\) −18.0399 6.43661i −0.728624 0.259972i −0.0544203 0.998518i \(-0.517331\pi\)
−0.674203 + 0.738546i \(0.735513\pi\)
\(614\) −4.58738 14.1185i −0.185132 0.569777i
\(615\) −10.2785 + 11.8620i −0.414468 + 0.478322i
\(616\) 3.44860 5.94924i 0.138948 0.239702i
\(617\) 25.2363 + 29.1242i 1.01597 + 1.17250i 0.984926 + 0.172978i \(0.0553389\pi\)
0.0310476 + 0.999518i \(0.490116\pi\)
\(618\) 25.5799 42.4195i 1.02897 1.70636i
\(619\) −25.9254 33.6207i −1.04203 1.35133i −0.934036 0.357179i \(-0.883739\pi\)
−0.107995 0.994151i \(-0.534443\pi\)
\(620\) −0.935877 + 0.333920i −0.0375857 + 0.0134106i
\(621\) 10.2311 + 5.03029i 0.410560 + 0.201859i
\(622\) 30.6757 25.0834i 1.22998 1.00575i
\(623\) 1.52264 + 7.51454i 0.0610034 + 0.301064i
\(624\) −66.1431 3.78220i −2.64784 0.151409i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −5.55714 38.6508i −0.222108 1.54479i
\(627\) 2.59763 37.9300i 0.103739 1.51478i
\(628\) −0.0799467 + 0.556041i −0.00319022 + 0.0221885i
\(629\) 12.8902 + 18.8513i 0.513965 + 0.751650i
\(630\) −1.66011 4.26396i −0.0661403 0.169880i
\(631\) −11.1637 + 14.4773i −0.444418 + 0.576332i −0.959820 0.280617i \(-0.909461\pi\)
0.515402 + 0.856949i \(0.327643\pi\)
\(632\) 9.48249 29.1841i 0.377193 1.16088i
\(633\) −32.1535 53.3205i −1.27799 2.11930i
\(634\) −1.53727 + 3.94844i −0.0610527 + 0.156813i
\(635\) 10.1707 2.36509i 0.403610 0.0938555i
\(636\) 1.09562 + 0.463012i 0.0434440 + 0.0183596i
\(637\) 31.1739 + 20.0343i 1.23516 + 0.793786i
\(638\) −10.3450 + 1.36870i −0.409563 + 0.0541874i
\(639\) 11.7009 7.51974i 0.462882 0.297476i
\(640\) −12.3895 + 2.14409i −0.489739 + 0.0847527i
\(641\) 2.97589 + 34.6477i 0.117541 + 1.36850i 0.782979 + 0.622049i \(0.213699\pi\)
−0.665438 + 0.746453i \(0.731755\pi\)
\(642\) 5.75926 67.0539i 0.227300 2.64640i
\(643\) 8.74412 + 1.51323i 0.344834 + 0.0596759i 0.340309 0.940314i \(-0.389468\pi\)
0.00452576 + 0.999990i \(0.498559\pi\)
\(644\) −0.524231 + 0.221542i −0.0206576 + 0.00872998i
\(645\) −26.4027 + 19.1827i −1.03961 + 0.755317i
\(646\) 15.8596 8.95632i 0.623987 0.352382i
\(647\) 0.0276976 + 0.969543i 0.00108891 + 0.0381167i 0.999955 0.00949253i \(-0.00302161\pi\)
−0.998866 + 0.0476092i \(0.984840\pi\)
\(648\) −12.5794 + 3.69364i −0.494164 + 0.145100i
\(649\) −3.10268 30.0220i −0.121791 1.17846i
\(650\) 8.18731 + 2.40401i 0.321133 + 0.0942931i
\(651\) 2.93064 11.1493i 0.114861 0.436975i
\(652\) −0.230056 + 1.13537i −0.00900968 + 0.0444645i
\(653\) 17.5524 + 33.2655i 0.686879 + 1.30178i 0.942241 + 0.334934i \(0.108714\pi\)
−0.255363 + 0.966845i \(0.582195\pi\)
\(654\) −1.07760 + 37.7210i −0.0421376 + 1.47501i
\(655\) −0.485926 1.84866i −0.0189867 0.0722330i
\(656\) 25.5466 1.46081i 0.997426 0.0570349i
\(657\) 39.6652 40.8146i 1.54749 1.59233i
\(658\) −0.635493 + 0.312451i −0.0247741 + 0.0121806i
\(659\) −2.29205 + 5.01888i −0.0892854 + 0.195508i −0.949007 0.315255i \(-0.897910\pi\)
0.859721 + 0.510763i \(0.170637\pi\)
\(660\) 1.03358 + 1.15192i 0.0402319 + 0.0448386i
\(661\) 19.1662 + 41.9681i 0.745479 + 1.63237i 0.774326 + 0.632787i \(0.218089\pi\)
−0.0288466 + 0.999584i \(0.509183\pi\)
\(662\) −21.8874 17.8972i −0.850678 0.695596i
\(663\) 20.4269 38.7132i 0.793314 1.50350i
\(664\) −27.6116 15.5930i −1.07154 0.605125i
\(665\) −3.31095 + 0.379897i −0.128393 + 0.0147318i
\(666\) −47.1887 + 5.41440i −1.82853 + 0.209804i
\(667\) −7.79111 4.39984i −0.301673 0.170363i
\(668\) −0.234256 + 0.443964i −0.00906364 + 0.0171775i
\(669\) 0.723843 + 0.591884i 0.0279854 + 0.0228835i
\(670\) 0.871308 + 1.90790i 0.0336616 + 0.0737086i
\(671\) −3.24991 3.62203i −0.125461 0.139827i
\(672\) −0.842613 + 1.84506i −0.0325045 + 0.0711749i
\(673\) 21.8073 10.7219i 0.840608 0.413299i 0.0304682 0.999536i \(-0.490300\pi\)
0.810140 + 0.586237i \(0.199391\pi\)
\(674\) 1.21473 1.24993i 0.0467897 0.0481455i
\(675\) −2.71324 + 0.155149i −0.104433 + 0.00597168i
\(676\) −0.915715 3.48374i −0.0352198 0.133990i
\(677\) −0.122009 + 4.27089i −0.00468920 + 0.164144i 0.993873 + 0.110531i \(0.0352553\pi\)
−0.998562 + 0.0536121i \(0.982927\pi\)
\(678\) 17.1700 + 32.5408i 0.659411 + 1.24972i
\(679\) 0.755423 3.72816i 0.0289905 0.143074i
\(680\) 1.95277 7.42910i 0.0748852 0.284893i
\(681\) −46.2663 13.5850i −1.77293 0.520578i
\(682\) 2.83870 + 27.4677i 0.108700 + 1.05179i
\(683\) −15.1987 + 4.46273i −0.581560 + 0.170762i −0.559264 0.828990i \(-0.688916\pi\)
−0.0222967 + 0.999751i \(0.507098\pi\)
\(684\) 0.0875208 + 3.06363i 0.00334644 + 0.117141i
\(685\) 18.7625 10.5957i 0.716878 0.404840i
\(686\) 12.3288 8.95741i 0.470717 0.341996i
\(687\) −35.4942 + 15.0000i −1.35419 + 0.572285i
\(688\) 52.4258 + 9.07264i 1.99871 + 0.345891i
\(689\) 1.26176 14.6904i 0.0480693 0.559661i
\(690\) 1.40364 + 16.3422i 0.0534355 + 0.622138i
\(691\) −36.2057 + 6.26565i −1.37733 + 0.238356i −0.810626 0.585565i \(-0.800873\pi\)
−0.566705 + 0.823921i \(0.691782\pi\)
\(692\) 3.56940 2.29391i 0.135688 0.0872015i
\(693\) −10.1989 + 1.34937i −0.387424 + 0.0512583i
\(694\) 19.1769 + 12.3242i 0.727944 + 0.467821i
\(695\) −1.77325 0.749380i −0.0672631 0.0284256i
\(696\) −14.8154 + 3.44517i −0.561576 + 0.130589i
\(697\) −6.13365 + 15.7542i −0.232329 + 0.596731i
\(698\) −14.3672 23.8253i −0.543806 0.901801i
\(699\) 1.94561 5.98798i 0.0735898 0.226486i
\(700\) 0.0828432 0.107433i 0.00313118 0.00406058i
\(701\) −18.5137 47.5520i −0.699253 1.79602i −0.598529 0.801101i \(-0.704248\pi\)
−0.100723 0.994914i \(-0.532116\pi\)
\(702\) 13.0893 + 19.1425i 0.494025 + 0.722488i
\(703\) −4.92336 + 34.2427i −0.185688 + 1.29149i
\(704\) −1.62643 + 23.7487i −0.0612982 + 0.895062i
\(705\) 0.234991 + 1.63440i 0.00885026 + 0.0615549i
\(706\) 1.72286 1.58122i 0.0648405 0.0595101i
\(707\) 9.31703 + 0.532767i 0.350403 + 0.0200368i
\(708\) 0.843302 + 4.16186i 0.0316932 + 0.156412i
\(709\) −11.3101 + 9.24819i −0.424758 + 0.347323i −0.821104 0.570778i \(-0.806642\pi\)
0.396346 + 0.918101i \(0.370278\pi\)
\(710\) 4.57417 + 2.24897i 0.171665 + 0.0844022i
\(711\) −43.2388 + 15.4276i −1.62158 + 0.578579i
\(712\) −16.3476 21.1999i −0.612652 0.794501i
\(713\) −12.2270 + 20.2763i −0.457906 + 0.759352i
\(714\) −5.63297 6.50079i −0.210809 0.243286i
\(715\) 9.62135 16.5980i 0.359818 0.620729i
\(716\) −2.50176 + 2.88718i −0.0934951 + 0.107899i
\(717\) −2.37629 7.31348i −0.0887443 0.273127i
\(718\) −7.93568 2.83145i −0.296157 0.105669i
\(719\) 9.59301 + 9.87098i 0.357759 + 0.368125i 0.871988 0.489528i \(-0.162831\pi\)
−0.514229 + 0.857653i \(0.671922\pi\)
\(720\) 12.8148 + 11.7613i 0.477579 + 0.438318i
\(721\) −5.51049 + 8.05884i −0.205222 + 0.300127i
\(722\) −0.425028 0.0988359i −0.0158179 0.00367829i
\(723\) −3.13815 2.28000i −0.116709 0.0847940i
\(724\) 2.35421 + 0.270121i 0.0874936 + 0.0100390i
\(725\) 2.13289 0.0792136
\(726\) 37.9167 20.3005i 1.40722 0.753421i
\(727\) −27.3602 −1.01474 −0.507368 0.861730i \(-0.669381\pi\)
−0.507368 + 0.861730i \(0.669381\pi\)
\(728\) 11.9150 + 1.36712i 0.441601 + 0.0506690i
\(729\) 33.3510 + 24.2309i 1.23522 + 0.897442i
\(730\) 20.3148 + 4.72401i 0.751886 + 0.174844i
\(731\) −19.8415 + 29.0172i −0.733863 + 1.07324i
\(732\) 0.504422 + 0.462955i 0.0186440 + 0.0171113i
\(733\) 15.4993 + 15.9484i 0.572480 + 0.589068i 0.940096 0.340909i \(-0.110735\pi\)
−0.367616 + 0.929978i \(0.619826\pi\)
\(734\) 11.8976 + 4.24507i 0.439150 + 0.156688i
\(735\) −5.24705 16.1488i −0.193541 0.595656i
\(736\) 2.72820 3.14851i 0.100563 0.116056i
\(737\) 4.63208 0.884412i 0.170625 0.0325777i
\(738\) −23.0267 26.5742i −0.847624 0.978210i
\(739\) 7.03710 11.6697i 0.258864 0.429278i −0.699582 0.714553i \(-0.746630\pi\)
0.958446 + 0.285275i \(0.0920848\pi\)
\(740\) −0.859953 1.11521i −0.0316125 0.0409958i
\(741\) 62.4521 22.2828i 2.29423 0.818581i
\(742\) −2.60022 1.27844i −0.0954569 0.0469330i
\(743\) −1.55829 + 1.27421i −0.0571681 + 0.0467461i −0.661165 0.750241i \(-0.729938\pi\)
0.603997 + 0.796987i \(0.293574\pi\)
\(744\) 7.99349 + 39.4494i 0.293056 + 1.44629i
\(745\) −13.2323 0.756649i −0.484793 0.0277215i
\(746\) −32.8969 + 30.1925i −1.20444 + 1.10543i
\(747\) 6.75157 + 46.9582i 0.247027 + 1.71811i
\(748\) 1.46550 + 0.794482i 0.0535838 + 0.0290491i
\(749\) −1.88767 + 13.1290i −0.0689739 + 0.479724i
\(750\) −2.20693 3.22753i −0.0805856 0.117853i
\(751\) 5.80020 + 14.8977i 0.211652 + 0.543624i 0.997167 0.0752185i \(-0.0239654\pi\)
−0.785515 + 0.618843i \(0.787602\pi\)
\(752\) 1.64382 2.13174i 0.0599438 0.0777365i
\(753\) 4.64483 14.2953i 0.169267 0.520950i
\(754\) −9.39836 15.5854i −0.342268 0.567588i
\(755\) −3.01586 + 7.74616i −0.109758 + 0.281912i
\(756\) 0.359110 0.0835075i 0.0130607 0.00303714i
\(757\) 31.1550 + 13.1662i 1.13235 + 0.478535i 0.873229 0.487311i \(-0.162022\pi\)
0.259120 + 0.965845i \(0.416567\pi\)
\(758\) 12.8860 + 8.28134i 0.468041 + 0.300792i
\(759\) 36.4414 + 5.65892i 1.32274 + 0.205406i
\(760\) 9.78911 6.29108i 0.355088 0.228201i
\(761\) −7.46062 + 1.29111i −0.270447 + 0.0468027i −0.304132 0.952630i \(-0.598367\pi\)
0.0336853 + 0.999432i \(0.489276\pi\)
\(762\) 3.49381 + 40.6777i 0.126568 + 1.47360i
\(763\) 0.636448 7.41003i 0.0230410 0.268261i
\(764\) 2.29373 + 0.396946i 0.0829843 + 0.0143610i
\(765\) −10.5856 + 4.47352i −0.382724 + 0.161740i
\(766\) 35.2103 25.5818i 1.27220 0.924308i
\(767\) 45.8359 25.8847i 1.65504 0.934644i
\(768\) −0.317399 11.1104i −0.0114532 0.400913i
\(769\) −35.4835 + 10.4189i −1.27957 + 0.375715i −0.849742 0.527198i \(-0.823243\pi\)
−0.429824 + 0.902913i \(0.641424\pi\)
\(770\) −2.35352 2.94529i −0.0848151 0.106141i
\(771\) −36.0746 10.5924i −1.29919 0.381478i
\(772\) −0.112807 + 0.429162i −0.00406001 + 0.0154459i
\(773\) 7.13097 35.1927i 0.256483