Properties

Label 483.2.y.a.121.8
Level $483$
Weight $2$
Character 483.121
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 121.8
Character \(\chi\) \(=\) 483.121
Dual form 483.2.y.a.4.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.264798 - 0.371856i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(0.585977 - 1.69307i) q^{4} +(0.162988 + 3.42155i) q^{5} +(-0.298946 + 0.345002i) q^{6} +(-2.64103 + 0.158003i) q^{7} +(-1.66077 + 0.487645i) q^{8} +(-0.888835 + 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.264798 - 0.371856i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(0.585977 - 1.69307i) q^{4} +(0.162988 + 3.42155i) q^{5} +(-0.298946 + 0.345002i) q^{6} +(-2.64103 + 0.158003i) q^{7} +(-1.66077 + 0.487645i) q^{8} +(-0.888835 + 0.458227i) q^{9} +(1.22916 - 0.966626i) q^{10} +(-2.78188 + 3.90660i) q^{11} +(-1.78349 - 0.170303i) q^{12} +(-0.587228 - 4.08426i) q^{13} +(0.758093 + 0.940245i) q^{14} +(3.28667 - 0.965054i) q^{15} +(-2.19549 - 1.72655i) q^{16} +(-7.65264 - 1.47493i) q^{17} +(0.405756 + 0.209182i) q^{18} +(-6.79320 + 1.30928i) q^{19} +(5.88842 + 1.72900i) q^{20} +(0.776195 + 2.52933i) q^{21} +2.18933 q^{22} +(3.64381 - 3.11811i) q^{23} +(0.865439 + 1.49899i) q^{24} +(-6.70305 + 0.640064i) q^{25} +(-1.36326 + 1.29987i) q^{26} +(0.654861 + 0.755750i) q^{27} +(-1.28007 + 4.56403i) q^{28} +(3.38215 - 3.90321i) q^{29} +(-1.22916 - 0.966626i) q^{30} +(5.87814 + 5.60480i) q^{31} +(-0.225386 + 4.73143i) q^{32} +(4.45233 + 1.78244i) q^{33} +(1.47794 + 3.23624i) q^{34} +(-0.971072 - 9.01065i) q^{35} +(0.254972 + 1.77337i) q^{36} +(0.405989 - 0.209302i) q^{37} +(2.28569 + 2.17940i) q^{38} +(-3.83069 + 1.53358i) q^{39} +(-1.93919 - 5.60291i) q^{40} +(-2.27640 + 1.46296i) q^{41} +(0.735013 - 0.958394i) q^{42} +(1.87696 + 0.551126i) q^{43} +(4.98403 + 6.99909i) q^{44} +(-1.71271 - 2.96651i) q^{45} +(-2.12436 - 0.529307i) q^{46} +(-1.33113 + 2.30558i) q^{47} +(-1.16028 + 2.54066i) q^{48} +(6.95007 - 0.834582i) q^{49} +(2.01297 + 2.32309i) q^{50} +(0.370829 + 7.78465i) q^{51} +(-7.25903 - 1.39906i) q^{52} +(5.15812 - 2.06500i) q^{53} +(0.107625 - 0.443635i) q^{54} +(-13.8200 - 8.88159i) q^{55} +(4.30908 - 1.55029i) q^{56} +(2.87393 + 6.29304i) q^{57} +(-2.34702 - 0.224113i) q^{58} +(-7.06136 + 5.55311i) q^{59} +(0.292011 - 6.13006i) q^{60} +(-0.449980 + 1.85484i) q^{61} +(0.527661 - 3.66996i) q^{62} +(2.27504 - 1.35063i) q^{63} +(-2.88025 + 1.85102i) q^{64} +(13.8788 - 2.67491i) q^{65} +(-0.516154 - 2.12762i) q^{66} +(-4.82304 + 0.460545i) q^{67} +(-6.98142 + 12.0922i) q^{68} +(-3.88928 - 2.80598i) q^{69} +(-3.09353 + 2.74710i) q^{70} +(1.69925 - 3.72084i) q^{71} +(1.25270 - 1.19444i) q^{72} +(2.30147 - 6.64966i) q^{73} +(-0.185335 - 0.0955470i) q^{74} +(2.20233 + 6.36320i) q^{75} +(-1.76395 + 12.2686i) q^{76} +(6.72977 - 10.7570i) q^{77} +(1.58463 + 1.01838i) q^{78} +(-5.09907 - 2.04136i) q^{79} +(5.54965 - 7.79339i) q^{80} +(0.580057 - 0.814576i) q^{81} +(1.14680 + 0.459108i) q^{82} +(0.397206 + 0.255269i) q^{83} +(4.73716 + 0.167978i) q^{84} +(3.79923 - 26.4243i) q^{85} +(-0.292076 - 0.843897i) q^{86} +(-4.59056 - 2.36660i) q^{87} +(2.71501 - 7.84452i) q^{88} +(-1.99396 + 1.90124i) q^{89} +(-0.649592 + 1.42241i) q^{90} +(2.19621 + 10.6939i) q^{91} +(-3.14398 - 7.99637i) q^{92} +(4.06098 - 7.03383i) q^{93} +(1.20982 - 0.115524i) q^{94} +(-5.58698 - 23.0299i) q^{95} +(4.65120 - 0.896445i) q^{96} +(12.4713 - 8.01484i) q^{97} +(-2.15071 - 2.36343i) q^{98} +(0.682524 - 4.74706i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.264798 0.371856i −0.187240 0.262942i 0.710276 0.703923i \(-0.248570\pi\)
−0.897516 + 0.440981i \(0.854631\pi\)
\(3\) −0.235759 0.971812i −0.136115 0.561076i
\(4\) 0.585977 1.69307i 0.292988 0.846534i
\(5\) 0.162988 + 3.42155i 0.0728906 + 1.53016i 0.678619 + 0.734491i \(0.262579\pi\)
−0.605728 + 0.795672i \(0.707118\pi\)
\(6\) −0.298946 + 0.345002i −0.122044 + 0.140846i
\(7\) −2.64103 + 0.158003i −0.998215 + 0.0597196i
\(8\) −1.66077 + 0.487645i −0.587170 + 0.172409i
\(9\) −0.888835 + 0.458227i −0.296278 + 0.152742i
\(10\) 1.22916 0.966626i 0.388696 0.305674i
\(11\) −2.78188 + 3.90660i −0.838768 + 1.17788i 0.143360 + 0.989671i \(0.454209\pi\)
−0.982128 + 0.188214i \(0.939730\pi\)
\(12\) −1.78349 0.170303i −0.514850 0.0491622i
\(13\) −0.587228 4.08426i −0.162868 1.13277i −0.893194 0.449671i \(-0.851541\pi\)
0.730326 0.683098i \(-0.239368\pi\)
\(14\) 0.758093 + 0.940245i 0.202609 + 0.251291i
\(15\) 3.28667 0.965054i 0.848615 0.249176i
\(16\) −2.19549 1.72655i −0.548873 0.431639i
\(17\) −7.65264 1.47493i −1.85604 0.357722i −0.866174 0.499743i \(-0.833428\pi\)
−0.989864 + 0.142021i \(0.954640\pi\)
\(18\) 0.405756 + 0.209182i 0.0956376 + 0.0493046i
\(19\) −6.79320 + 1.30928i −1.55847 + 0.300370i −0.894388 0.447292i \(-0.852388\pi\)
−0.664079 + 0.747662i \(0.731176\pi\)
\(20\) 5.88842 + 1.72900i 1.31669 + 0.386615i
\(21\) 0.776195 + 2.52933i 0.169380 + 0.551946i
\(22\) 2.18933 0.466767
\(23\) 3.64381 3.11811i 0.759788 0.650171i
\(24\) 0.865439 + 1.49899i 0.176657 + 0.305979i
\(25\) −6.70305 + 0.640064i −1.34061 + 0.128013i
\(26\) −1.36326 + 1.29987i −0.267358 + 0.254925i
\(27\) 0.654861 + 0.755750i 0.126028 + 0.145444i
\(28\) −1.28007 + 4.56403i −0.241911 + 0.862520i
\(29\) 3.38215 3.90321i 0.628050 0.724808i −0.349165 0.937061i \(-0.613535\pi\)
0.977215 + 0.212253i \(0.0680802\pi\)
\(30\) −1.22916 0.966626i −0.224414 0.176481i
\(31\) 5.87814 + 5.60480i 1.05575 + 1.00665i 0.999966 + 0.00820854i \(0.00261289\pi\)
0.0557796 + 0.998443i \(0.482236\pi\)
\(32\) −0.225386 + 4.73143i −0.0398430 + 0.836407i
\(33\) 4.45233 + 1.78244i 0.775052 + 0.310284i
\(34\) 1.47794 + 3.23624i 0.253465 + 0.555010i
\(35\) −0.971072 9.01065i −0.164141 1.52308i
\(36\) 0.254972 + 1.77337i 0.0424953 + 0.295562i
\(37\) 0.405989 0.209302i 0.0667442 0.0344090i −0.424531 0.905413i \(-0.639561\pi\)
0.491276 + 0.871004i \(0.336531\pi\)
\(38\) 2.28569 + 2.17940i 0.370788 + 0.353545i
\(39\) −3.83069 + 1.53358i −0.613401 + 0.245569i
\(40\) −1.93919 5.60291i −0.306612 0.885898i
\(41\) −2.27640 + 1.46296i −0.355515 + 0.228475i −0.706191 0.708021i \(-0.749588\pi\)
0.350677 + 0.936497i \(0.385952\pi\)
\(42\) 0.735013 0.958394i 0.113415 0.147883i
\(43\) 1.87696 + 0.551126i 0.286234 + 0.0840459i 0.421698 0.906736i \(-0.361434\pi\)
−0.135464 + 0.990782i \(0.543252\pi\)
\(44\) 4.98403 + 6.99909i 0.751370 + 1.05515i
\(45\) −1.71271 2.96651i −0.255316 0.442221i
\(46\) −2.12436 0.529307i −0.313220 0.0780421i
\(47\) −1.33113 + 2.30558i −0.194165 + 0.336304i −0.946626 0.322333i \(-0.895533\pi\)
0.752462 + 0.658636i \(0.228866\pi\)
\(48\) −1.16028 + 2.54066i −0.167472 + 0.366712i
\(49\) 6.95007 0.834582i 0.992867 0.119226i
\(50\) 2.01297 + 2.32309i 0.284676 + 0.328534i
\(51\) 0.370829 + 7.78465i 0.0519264 + 1.09007i
\(52\) −7.25903 1.39906i −1.00665 0.194015i
\(53\) 5.15812 2.06500i 0.708522 0.283650i 0.0107227 0.999943i \(-0.496587\pi\)
0.697800 + 0.716293i \(0.254163\pi\)
\(54\) 0.107625 0.443635i 0.0146459 0.0603711i
\(55\) −13.8200 8.88159i −1.86349 1.19759i
\(56\) 4.30908 1.55029i 0.575825 0.207166i
\(57\) 2.87393 + 6.29304i 0.380662 + 0.833533i
\(58\) −2.34702 0.224113i −0.308179 0.0294275i
\(59\) −7.06136 + 5.55311i −0.919311 + 0.722954i −0.961108 0.276172i \(-0.910934\pi\)
0.0417976 + 0.999126i \(0.486692\pi\)
\(60\) 0.292011 6.13006i 0.0376984 0.791387i
\(61\) −0.449980 + 1.85484i −0.0576141 + 0.237488i −0.993337 0.115248i \(-0.963234\pi\)
0.935723 + 0.352737i \(0.114749\pi\)
\(62\) 0.527661 3.66996i 0.0670130 0.466086i
\(63\) 2.27504 1.35063i 0.286628 0.170163i
\(64\) −2.88025 + 1.85102i −0.360031 + 0.231378i
\(65\) 13.8788 2.67491i 1.72145 0.331782i
\(66\) −0.516154 2.12762i −0.0635341 0.261891i
\(67\) −4.82304 + 0.460545i −0.589229 + 0.0562645i −0.385412 0.922745i \(-0.625941\pi\)
−0.203817 + 0.979009i \(0.565335\pi\)
\(68\) −6.98142 + 12.0922i −0.846621 + 1.46639i
\(69\) −3.88928 2.80598i −0.468214 0.337800i
\(70\) −3.09353 + 2.74710i −0.369748 + 0.328341i
\(71\) 1.69925 3.72084i 0.201664 0.441583i −0.781597 0.623783i \(-0.785595\pi\)
0.983261 + 0.182201i \(0.0583220\pi\)
\(72\) 1.25270 1.19444i 0.147632 0.140766i
\(73\) 2.30147 6.64966i 0.269367 0.778284i −0.726476 0.687192i \(-0.758843\pi\)
0.995842 0.0910921i \(-0.0290358\pi\)
\(74\) −0.185335 0.0955470i −0.0215448 0.0111071i
\(75\) 2.20233 + 6.36320i 0.254303 + 0.734760i
\(76\) −1.76395 + 12.2686i −0.202339 + 1.40730i
\(77\) 6.72977 10.7570i 0.766928 1.22587i
\(78\) 1.58463 + 1.01838i 0.179424 + 0.115309i
\(79\) −5.09907 2.04136i −0.573690 0.229671i 0.0666316 0.997778i \(-0.478775\pi\)
−0.640322 + 0.768107i \(0.721199\pi\)
\(80\) 5.54965 7.79339i 0.620469 0.871327i
\(81\) 0.580057 0.814576i 0.0644508 0.0905084i
\(82\) 1.14680 + 0.459108i 0.126642 + 0.0507000i
\(83\) 0.397206 + 0.255269i 0.0435990 + 0.0280194i 0.562259 0.826961i \(-0.309932\pi\)
−0.518660 + 0.854981i \(0.673569\pi\)
\(84\) 4.73716 + 0.167978i 0.516867 + 0.0183279i
\(85\) 3.79923 26.4243i 0.412085 2.86611i
\(86\) −0.292076 0.843897i −0.0314953 0.0909998i
\(87\) −4.59056 2.36660i −0.492159 0.253726i
\(88\) 2.71501 7.84452i 0.289422 0.836229i
\(89\) −1.99396 + 1.90124i −0.211360 + 0.201531i −0.788362 0.615211i \(-0.789071\pi\)
0.577003 + 0.816742i \(0.304222\pi\)
\(90\) −0.649592 + 1.42241i −0.0684730 + 0.149935i
\(91\) 2.19621 + 10.6939i 0.230226 + 1.12102i
\(92\) −3.14398 7.99637i −0.327783 0.833679i
\(93\) 4.06098 7.03383i 0.421104 0.729374i
\(94\) 1.20982 0.115524i 0.124784 0.0119154i
\(95\) −5.58698 23.0299i −0.573212 2.36281i
\(96\) 4.65120 0.896445i 0.474711 0.0914930i
\(97\) 12.4713 8.01484i 1.26627 0.813784i 0.277143 0.960829i \(-0.410612\pi\)
0.989130 + 0.147045i \(0.0469761\pi\)
\(98\) −2.15071 2.36343i −0.217254 0.238743i
\(99\) 0.682524 4.74706i 0.0685962 0.477097i
\(100\) −2.84416 + 11.7238i −0.284416 + 1.17238i
\(101\) −0.255918 + 5.37237i −0.0254647 + 0.534571i 0.949710 + 0.313132i \(0.101378\pi\)
−0.975174 + 0.221439i \(0.928925\pi\)
\(102\) 2.79658 2.19925i 0.276902 0.217758i
\(103\) −7.01201 0.669566i −0.690914 0.0659743i −0.256308 0.966595i \(-0.582506\pi\)
−0.434606 + 0.900621i \(0.643112\pi\)
\(104\) 2.96692 + 6.49664i 0.290930 + 0.637048i
\(105\) −8.52772 + 3.06804i −0.832220 + 0.299410i
\(106\) −2.13374 1.37127i −0.207247 0.133190i
\(107\) −0.614731 + 2.53396i −0.0594283 + 0.244967i −0.993776 0.111396i \(-0.964468\pi\)
0.934348 + 0.356362i \(0.115983\pi\)
\(108\) 1.66327 0.665872i 0.160048 0.0640736i
\(109\) −11.5403 2.22422i −1.10536 0.213042i −0.396255 0.918140i \(-0.629691\pi\)
−0.709109 + 0.705099i \(0.750903\pi\)
\(110\) 0.356835 + 7.49089i 0.0340229 + 0.714228i
\(111\) −0.299118 0.345200i −0.0283910 0.0327650i
\(112\) 6.07116 + 4.21299i 0.573671 + 0.398090i
\(113\) −0.720249 + 1.57713i −0.0677553 + 0.148364i −0.940480 0.339850i \(-0.889624\pi\)
0.872724 + 0.488213i \(0.162351\pi\)
\(114\) 1.57909 2.73507i 0.147896 0.256163i
\(115\) 11.2627 + 11.9593i 1.05025 + 1.11521i
\(116\) −4.62654 8.01340i −0.429563 0.744026i
\(117\) 2.39347 + 3.36115i 0.221276 + 0.310739i
\(118\) 3.93479 + 1.15536i 0.362227 + 0.106359i
\(119\) 20.4439 + 2.68618i 1.87409 + 0.246242i
\(120\) −4.98779 + 3.20546i −0.455321 + 0.292617i
\(121\) −3.92494 11.3404i −0.356812 1.03094i
\(122\) 0.808889 0.323830i 0.0732334 0.0293182i
\(123\) 1.95840 + 1.86733i 0.176583 + 0.168372i
\(124\) 12.9338 6.66782i 1.16149 0.598788i
\(125\) −0.845084 5.87769i −0.0755866 0.525716i
\(126\) −1.10466 0.488344i −0.0984114 0.0435052i
\(127\) 5.97665 + 13.0870i 0.530342 + 1.16129i 0.965374 + 0.260872i \(0.0840099\pi\)
−0.435032 + 0.900415i \(0.643263\pi\)
\(128\) 10.2460 + 4.10187i 0.905625 + 0.362558i
\(129\) 0.0930798 1.95399i 0.00819522 0.172039i
\(130\) −4.66975 4.45260i −0.409564 0.390519i
\(131\) 0.770203 + 0.605695i 0.0672930 + 0.0529198i 0.651239 0.758873i \(-0.274250\pi\)
−0.583946 + 0.811793i \(0.698492\pi\)
\(132\) 5.62676 6.49363i 0.489747 0.565198i
\(133\) 17.7342 4.53120i 1.53775 0.392905i
\(134\) 1.44839 + 1.67153i 0.125122 + 0.144398i
\(135\) −2.47910 + 2.36381i −0.213367 + 0.203445i
\(136\) 13.4285 1.28226i 1.15148 0.109953i
\(137\) 0.999974 + 1.73201i 0.0854335 + 0.147975i 0.905576 0.424184i \(-0.139439\pi\)
−0.820142 + 0.572160i \(0.806106\pi\)
\(138\) −0.0135493 + 2.18927i −0.00115339 + 0.186363i
\(139\) −20.6978 −1.75556 −0.877781 0.479063i \(-0.840977\pi\)
−0.877781 + 0.479063i \(0.840977\pi\)
\(140\) −15.8247 3.63594i −1.33743 0.307293i
\(141\) 2.55442 + 0.750044i 0.215121 + 0.0631651i
\(142\) −1.83358 + 0.353393i −0.153870 + 0.0296561i
\(143\) 17.5892 + 9.06785i 1.47088 + 0.758291i
\(144\) 2.74258 + 0.528590i 0.228549 + 0.0440492i
\(145\) 13.9063 + 10.9360i 1.15485 + 0.908186i
\(146\) −3.08214 + 0.904999i −0.255080 + 0.0748983i
\(147\) −2.44960 6.55740i −0.202039 0.540845i
\(148\) −0.116462 0.810014i −0.00957315 0.0665827i
\(149\) −8.02128 0.765939i −0.657129 0.0627482i −0.238835 0.971060i \(-0.576766\pi\)
−0.418294 + 0.908312i \(0.637372\pi\)
\(150\) 1.78303 2.50391i 0.145584 0.204443i
\(151\) −2.15205 + 1.69239i −0.175131 + 0.137725i −0.701877 0.712298i \(-0.747654\pi\)
0.526746 + 0.850023i \(0.323412\pi\)
\(152\) 10.6435 5.48708i 0.863298 0.445061i
\(153\) 7.47779 2.19568i 0.604543 0.177510i
\(154\) −5.78208 + 0.345921i −0.465933 + 0.0278751i
\(155\) −18.2190 + 21.0259i −1.46339 + 1.68884i
\(156\) 0.351755 + 7.38425i 0.0281630 + 0.591213i
\(157\) 2.84053 8.20716i 0.226699 0.655003i −0.773087 0.634300i \(-0.781288\pi\)
0.999786 0.0207029i \(-0.00659041\pi\)
\(158\) 0.591129 + 2.43667i 0.0470277 + 0.193851i
\(159\) −3.22286 4.52588i −0.255590 0.358926i
\(160\) −16.2255 −1.28274
\(161\) −9.13075 + 8.81075i −0.719604 + 0.694385i
\(162\) −0.456503 −0.0358663
\(163\) −7.01410 9.84992i −0.549386 0.771505i 0.442753 0.896644i \(-0.354002\pi\)
−0.992139 + 0.125138i \(0.960063\pi\)
\(164\) 1.14296 + 4.71136i 0.0892505 + 0.367896i
\(165\) −5.37304 + 15.5244i −0.418291 + 1.20857i
\(166\) −0.0102559 0.215298i −0.000796013 0.0167104i
\(167\) −15.9003 + 18.3499i −1.23040 + 1.41996i −0.356187 + 0.934415i \(0.615923\pi\)
−0.874213 + 0.485542i \(0.838622\pi\)
\(168\) −2.52250 3.82212i −0.194615 0.294883i
\(169\) −3.86293 + 1.13426i −0.297149 + 0.0872507i
\(170\) −10.8321 + 5.58431i −0.830781 + 0.428297i
\(171\) 5.43809 4.27656i 0.415861 0.327037i
\(172\) 2.03295 2.85488i 0.155011 0.217682i
\(173\) −17.8654 1.70594i −1.35828 0.129700i −0.609642 0.792677i \(-0.708687\pi\)
−0.748640 + 0.662976i \(0.769293\pi\)
\(174\) 0.335535 + 2.33370i 0.0254368 + 0.176917i
\(175\) 17.6018 2.74953i 1.33057 0.207845i
\(176\) 12.8526 3.77385i 0.968797 0.284465i
\(177\) 7.06136 + 5.55311i 0.530764 + 0.417398i
\(178\) 1.23498 + 0.238024i 0.0925660 + 0.0178406i
\(179\) −13.3981 6.90721i −1.00142 0.516269i −0.122111 0.992516i \(-0.538967\pi\)
−0.879312 + 0.476247i \(0.841997\pi\)
\(180\) −6.02611 + 1.16144i −0.449159 + 0.0865684i
\(181\) −6.09401 1.78936i −0.452964 0.133002i 0.0472895 0.998881i \(-0.484942\pi\)
−0.500253 + 0.865879i \(0.666760\pi\)
\(182\) 3.39503 3.64839i 0.251656 0.270436i
\(183\) 1.90865 0.141091
\(184\) −4.53099 + 6.95534i −0.334029 + 0.512754i
\(185\) 0.782308 + 1.35500i 0.0575164 + 0.0996214i
\(186\) −3.69091 + 0.352439i −0.270631 + 0.0258421i
\(187\) 27.0506 25.7927i 1.97814 1.88615i
\(188\) 3.12350 + 3.60471i 0.227804 + 0.262900i
\(189\) −1.84892 1.89249i −0.134489 0.137658i
\(190\) −7.08438 + 8.17581i −0.513955 + 0.593135i
\(191\) −7.85324 6.17586i −0.568240 0.446869i 0.292246 0.956343i \(-0.405598\pi\)
−0.860486 + 0.509474i \(0.829840\pi\)
\(192\) 2.47789 + 2.36266i 0.178826 + 0.170510i
\(193\) 0.781002 16.3952i 0.0562178 1.18016i −0.777834 0.628470i \(-0.783682\pi\)
0.834052 0.551686i \(-0.186015\pi\)
\(194\) −6.28275 2.51523i −0.451075 0.180583i
\(195\) −5.87156 12.8569i −0.420471 0.920703i
\(196\) 2.65958 12.2560i 0.189970 0.875428i
\(197\) −1.68627 11.7283i −0.120142 0.835605i −0.957393 0.288787i \(-0.906748\pi\)
0.837251 0.546818i \(-0.184161\pi\)
\(198\) −1.94595 + 1.00321i −0.138293 + 0.0712949i
\(199\) 12.0302 + 11.4708i 0.852801 + 0.813144i 0.983992 0.178213i \(-0.0570316\pi\)
−0.131191 + 0.991357i \(0.541880\pi\)
\(200\) 10.8201 4.33171i 0.765095 0.306298i
\(201\) 1.58464 + 4.57851i 0.111772 + 0.322943i
\(202\) 2.06552 1.32743i 0.145329 0.0933974i
\(203\) −8.31564 + 10.8429i −0.583644 + 0.761021i
\(204\) 13.3972 + 3.93378i 0.937994 + 0.275420i
\(205\) −5.37660 7.55038i −0.375518 0.527341i
\(206\) 1.60778 + 2.78476i 0.112019 + 0.194023i
\(207\) −1.80995 + 4.44118i −0.125800 + 0.308683i
\(208\) −5.76244 + 9.98084i −0.399553 + 0.692047i
\(209\) 13.7830 30.1806i 0.953391 2.08763i
\(210\) 3.39899 + 2.35868i 0.234553 + 0.162764i
\(211\) 1.36620 + 1.57668i 0.0940531 + 0.108543i 0.800825 0.598898i \(-0.204395\pi\)
−0.706772 + 0.707442i \(0.749849\pi\)
\(212\) −0.473648 9.94309i −0.0325303 0.682894i
\(213\) −4.01657 0.774131i −0.275211 0.0530426i
\(214\) 1.10505 0.442394i 0.0755395 0.0302414i
\(215\) −1.57978 + 6.51194i −0.107740 + 0.444111i
\(216\) −1.45611 0.935784i −0.0990756 0.0636720i
\(217\) −16.4099 13.8737i −1.11398 0.941806i
\(218\) 2.22877 + 4.88032i 0.150951 + 0.330537i
\(219\) −7.00481 0.668878i −0.473341 0.0451986i
\(220\) −23.1354 + 18.1938i −1.55979 + 1.22663i
\(221\) −1.53013 + 32.1215i −0.102928 + 2.16072i
\(222\) −0.0491592 + 0.202637i −0.00329935 + 0.0136001i
\(223\) −1.35090 + 9.39570i −0.0904628 + 0.629183i 0.893267 + 0.449527i \(0.148407\pi\)
−0.983730 + 0.179656i \(0.942502\pi\)
\(224\) −0.152330 12.5315i −0.0101780 0.837294i
\(225\) 5.66462 3.64043i 0.377641 0.242695i
\(226\) 0.777185 0.149790i 0.0516975 0.00996389i
\(227\) −1.51651 6.25116i −0.100655 0.414904i 0.899084 0.437777i \(-0.144234\pi\)
−0.999738 + 0.0228727i \(0.992719\pi\)
\(228\) 12.3386 1.17819i 0.817143 0.0780277i
\(229\) 1.58260 2.74114i 0.104581 0.181140i −0.808986 0.587828i \(-0.799983\pi\)
0.913567 + 0.406688i \(0.133317\pi\)
\(230\) 1.46480 7.35488i 0.0965862 0.484966i
\(231\) −12.0404 4.00401i −0.792198 0.263444i
\(232\) −3.71358 + 8.13161i −0.243809 + 0.533866i
\(233\) −11.7824 + 11.2345i −0.771890 + 0.735995i −0.969714 0.244242i \(-0.921461\pi\)
0.197825 + 0.980237i \(0.436612\pi\)
\(234\) 0.616081 1.78005i 0.0402745 0.116366i
\(235\) −8.10561 4.17873i −0.528752 0.272590i
\(236\) 5.26401 + 15.2094i 0.342658 + 0.990045i
\(237\) −0.781666 + 5.43660i −0.0507746 + 0.353145i
\(238\) −4.41462 8.31348i −0.286157 0.538883i
\(239\) −6.73647 4.32927i −0.435746 0.280037i 0.304322 0.952569i \(-0.401570\pi\)
−0.740068 + 0.672532i \(0.765207\pi\)
\(240\) −8.88208 3.55585i −0.573336 0.229529i
\(241\) −6.91832 + 9.71542i −0.445648 + 0.625825i −0.974901 0.222639i \(-0.928533\pi\)
0.529253 + 0.848464i \(0.322472\pi\)
\(242\) −3.17767 + 4.46241i −0.204268 + 0.286855i
\(243\) −0.928368 0.371662i −0.0595548 0.0238422i
\(244\) 2.87670 + 1.84874i 0.184162 + 0.118354i
\(245\) 3.98834 + 23.6440i 0.254806 + 1.51056i
\(246\) 0.175799 1.22271i 0.0112085 0.0779570i
\(247\) 9.33660 + 26.9763i 0.594074 + 1.71646i
\(248\) −12.4954 6.44181i −0.793457 0.409056i
\(249\) 0.154428 0.446191i 0.00978650 0.0282762i
\(250\) −1.96188 + 1.87065i −0.124080 + 0.118310i
\(251\) −8.91493 + 19.5210i −0.562705 + 1.23215i 0.387886 + 0.921707i \(0.373205\pi\)
−0.950591 + 0.310445i \(0.899522\pi\)
\(252\) −0.953586 4.64323i −0.0600703 0.292496i
\(253\) 2.04457 + 22.9091i 0.128541 + 1.44028i
\(254\) 3.28389 5.68787i 0.206050 0.356889i
\(255\) −26.5751 + 2.53761i −1.66420 + 0.158912i
\(256\) 0.426557 + 1.75829i 0.0266598 + 0.109893i
\(257\) 6.65126 1.28193i 0.414894 0.0799643i 0.0224675 0.999748i \(-0.492848\pi\)
0.392427 + 0.919783i \(0.371636\pi\)
\(258\) −0.751250 + 0.482799i −0.0467708 + 0.0300577i
\(259\) −1.03916 + 0.616920i −0.0645702 + 0.0383336i
\(260\) 3.60382 25.0651i 0.223500 1.55447i
\(261\) −1.21762 + 5.01910i −0.0753689 + 0.310675i
\(262\) 0.0212833 0.446792i 0.00131489 0.0276029i
\(263\) 12.1106 9.52389i 0.746772 0.587268i −0.170580 0.985344i \(-0.554564\pi\)
0.917353 + 0.398076i \(0.130322\pi\)
\(264\) −8.26348 0.789067i −0.508582 0.0485637i
\(265\) 7.90621 + 17.3122i 0.485674 + 1.06348i
\(266\) −6.38092 5.39471i −0.391239 0.330771i
\(267\) 2.31774 + 1.48952i 0.141843 + 0.0911573i
\(268\) −2.04646 + 8.43561i −0.125007 + 0.515287i
\(269\) 4.42212 1.77035i 0.269621 0.107940i −0.232912 0.972498i \(-0.574826\pi\)
0.502534 + 0.864558i \(0.332401\pi\)
\(270\) 1.53546 + 0.295935i 0.0934450 + 0.0180101i
\(271\) 0.273335 + 5.73801i 0.0166039 + 0.348559i 0.991848 + 0.127428i \(0.0406721\pi\)
−0.975244 + 0.221132i \(0.929025\pi\)
\(272\) 14.2548 + 16.4509i 0.864322 + 0.997481i
\(273\) 9.87465 4.65548i 0.597641 0.281762i
\(274\) 0.379266 0.830478i 0.0229123 0.0501710i
\(275\) 16.1466 27.9667i 0.973677 1.68646i
\(276\) −7.02974 + 4.94057i −0.423141 + 0.297388i
\(277\) 5.56785 + 9.64380i 0.334540 + 0.579440i 0.983396 0.181471i \(-0.0580858\pi\)
−0.648857 + 0.760911i \(0.724752\pi\)
\(278\) 5.48072 + 7.69659i 0.328712 + 0.461611i
\(279\) −7.79297 2.28822i −0.466553 0.136992i
\(280\) 6.00672 + 14.4910i 0.358970 + 0.866006i
\(281\) 7.57967 4.87116i 0.452165 0.290589i −0.294669 0.955599i \(-0.595209\pi\)
0.746834 + 0.665011i \(0.231573\pi\)
\(282\) −0.397495 1.14849i −0.0236705 0.0683913i
\(283\) 9.72120 3.89178i 0.577865 0.231342i −0.0642714 0.997932i \(-0.520472\pi\)
0.642137 + 0.766590i \(0.278048\pi\)
\(284\) −5.30392 5.05728i −0.314730 0.300094i
\(285\) −21.0635 + 10.8590i −1.24769 + 0.643231i
\(286\) −1.28564 8.94179i −0.0760212 0.528739i
\(287\) 5.78090 4.22339i 0.341236 0.249299i
\(288\) −1.96774 4.30874i −0.115950 0.253895i
\(289\) 40.6052 + 16.2559i 2.38854 + 0.956228i
\(290\) 0.384277 8.06696i 0.0225655 0.473708i
\(291\) −10.7291 10.2302i −0.628954 0.599706i
\(292\) −9.90973 7.79309i −0.579923 0.456056i
\(293\) −16.0912 + 18.5702i −0.940056 + 1.08488i 0.0561986 + 0.998420i \(0.482102\pi\)
−0.996255 + 0.0864634i \(0.972443\pi\)
\(294\) −1.78976 + 2.64728i −0.104381 + 0.154393i
\(295\) −20.1512 23.2557i −1.17325 1.35400i
\(296\) −0.572188 + 0.545580i −0.0332578 + 0.0317112i
\(297\) −4.77415 + 0.455876i −0.277025 + 0.0264526i
\(298\) 1.83920 + 3.18558i 0.106542 + 0.184536i
\(299\) −14.8749 13.0512i −0.860239 0.754773i
\(300\) 12.0639 0.696507
\(301\) −5.04419 1.15897i −0.290742 0.0668021i
\(302\) 1.19918 + 0.352112i 0.0690052 + 0.0202618i
\(303\) 5.28127 1.01788i 0.303401 0.0584757i
\(304\) 17.1750 + 8.85431i 0.985052 + 0.507830i
\(305\) −6.41978 1.23731i −0.367595 0.0708482i
\(306\) −2.79658 2.19925i −0.159870 0.125723i
\(307\) 13.6871 4.01890i 0.781164 0.229370i 0.133249 0.991083i \(-0.457459\pi\)
0.647916 + 0.761712i \(0.275641\pi\)
\(308\) −14.2688 17.6973i −0.813042 1.00840i
\(309\) 1.00245 + 6.97221i 0.0570275 + 0.396635i
\(310\) 12.6430 + 1.20726i 0.718071 + 0.0685675i
\(311\) 2.84583 3.99641i 0.161372 0.226615i −0.725971 0.687725i \(-0.758609\pi\)
0.887343 + 0.461110i \(0.152549\pi\)
\(312\) 5.61403 4.41493i 0.317832 0.249946i
\(313\) −14.6190 + 7.53660i −0.826312 + 0.425994i −0.818870 0.573979i \(-0.805399\pi\)
−0.00744214 + 0.999972i \(0.502369\pi\)
\(314\) −3.80405 + 1.11697i −0.214675 + 0.0630343i
\(315\) 4.99204 + 7.56402i 0.281270 + 0.426184i
\(316\) −6.44410 + 7.43688i −0.362509 + 0.418357i
\(317\) 0.486568 + 10.2143i 0.0273284 + 0.573693i 0.970458 + 0.241269i \(0.0775636\pi\)
−0.943130 + 0.332424i \(0.892133\pi\)
\(318\) −0.829570 + 2.39688i −0.0465200 + 0.134411i
\(319\) 5.83955 + 24.0710i 0.326952 + 1.34772i
\(320\) −6.80280 9.55320i −0.380288 0.534040i
\(321\) 2.60746 0.145534
\(322\) 5.69414 + 1.06226i 0.317322 + 0.0591974i
\(323\) 53.9170 3.00002
\(324\) −1.03923 1.45940i −0.0577352 0.0810777i
\(325\) 6.55041 + 27.0012i 0.363351 + 1.49775i
\(326\) −1.80544 + 5.21647i −0.0999940 + 0.288914i
\(327\) 0.559217 + 11.7394i 0.0309248 + 0.649191i
\(328\) 3.06717 3.53970i 0.169356 0.195447i
\(329\) 3.15126 6.29943i 0.173734 0.347299i
\(330\) 7.19561 2.11282i 0.396105 0.116307i
\(331\) −8.64540 + 4.45701i −0.475194 + 0.244980i −0.679149 0.734001i \(-0.737651\pi\)
0.203955 + 0.978980i \(0.434621\pi\)
\(332\) 0.664941 0.522915i 0.0364934 0.0286987i
\(333\) −0.264950 + 0.372070i −0.0145192 + 0.0203893i
\(334\) 11.0339 + 1.05361i 0.603747 + 0.0576508i
\(335\) −2.36188 16.4272i −0.129043 0.897514i
\(336\) 2.66290 6.89327i 0.145273 0.376059i
\(337\) 9.06174 2.66077i 0.493624 0.144941i −0.0254401 0.999676i \(-0.508099\pi\)
0.519064 + 0.854735i \(0.326281\pi\)
\(338\) 1.44468 + 1.13611i 0.0785801 + 0.0617961i
\(339\) 1.70247 + 0.328125i 0.0924657 + 0.0178213i
\(340\) −42.5118 21.9164i −2.30553 1.18858i
\(341\) −38.2480 + 7.37170i −2.07124 + 0.399200i
\(342\) −3.03026 0.889765i −0.163858 0.0481130i
\(343\) −18.2235 + 3.30229i −0.983975 + 0.178307i
\(344\) −3.38595 −0.182558
\(345\) 8.96688 13.7647i 0.482761 0.741066i
\(346\) 4.09636 + 7.09510i 0.220222 + 0.381435i
\(347\) 7.98446 0.762423i 0.428628 0.0409290i 0.121487 0.992593i \(-0.461234\pi\)
0.307141 + 0.951664i \(0.400628\pi\)
\(348\) −6.69677 + 6.38536i −0.358985 + 0.342291i
\(349\) 21.7404 + 25.0897i 1.16374 + 1.34302i 0.928610 + 0.371057i \(0.121005\pi\)
0.235126 + 0.971965i \(0.424450\pi\)
\(350\) −5.68335 5.81728i −0.303788 0.310947i
\(351\) 2.70213 3.11842i 0.144229 0.166449i
\(352\) −17.8568 14.0428i −0.951772 0.748482i
\(353\) −13.5882 12.9563i −0.723225 0.689593i 0.236154 0.971716i \(-0.424113\pi\)
−0.959378 + 0.282122i \(0.908962\pi\)
\(354\) 0.195129 4.09626i 0.0103710 0.217714i
\(355\) 13.0080 + 5.20762i 0.690393 + 0.276392i
\(356\) 2.05051 + 4.49000i 0.108677 + 0.237969i
\(357\) −2.20937 20.5009i −0.116932 1.08502i
\(358\) 0.979302 + 6.81119i 0.0517577 + 0.359983i
\(359\) −7.88812 + 4.06661i −0.416319 + 0.214627i −0.653643 0.756803i \(-0.726760\pi\)
0.237324 + 0.971431i \(0.423730\pi\)
\(360\) 4.29102 + 4.09148i 0.226156 + 0.215640i
\(361\) 26.7944 10.7268i 1.41023 0.564571i
\(362\) 0.948293 + 2.73991i 0.0498412 + 0.144007i
\(363\) −10.0954 + 6.48789i −0.529869 + 0.340526i
\(364\) 19.3924 + 2.54802i 1.01644 + 0.133552i
\(365\) 23.1272 + 6.79077i 1.21054 + 0.355445i
\(366\) −0.505405 0.709742i −0.0264179 0.0370988i
\(367\) −15.7834 27.3377i −0.823887 1.42701i −0.902767 0.430131i \(-0.858468\pi\)
0.0788794 0.996884i \(-0.474866\pi\)
\(368\) −13.3836 + 0.554544i −0.697666 + 0.0289076i
\(369\) 1.35298 2.34344i 0.0704335 0.121994i
\(370\) 0.296711 0.649706i 0.0154253 0.0337766i
\(371\) −13.2965 + 6.26872i −0.690318 + 0.325456i
\(372\) −9.52911 10.9972i −0.494061 0.570177i
\(373\) −0.557107 11.6951i −0.0288459 0.605550i −0.966296 0.257432i \(-0.917124\pi\)
0.937451 0.348118i \(-0.113179\pi\)
\(374\) −16.7541 3.22910i −0.866336 0.166973i
\(375\) −5.51277 + 2.20698i −0.284678 + 0.113968i
\(376\) 1.08639 4.47815i 0.0560261 0.230943i
\(377\) −17.9278 11.5215i −0.923330 0.593388i
\(378\) −0.214144 + 1.18866i −0.0110144 + 0.0611380i
\(379\) −11.0742 24.2491i −0.568843 1.24559i −0.947411 0.320019i \(-0.896311\pi\)
0.378568 0.925573i \(-0.376417\pi\)
\(380\) −42.2650 4.03581i −2.16815 0.207033i
\(381\) 11.3091 8.89356i 0.579382 0.455631i
\(382\) −0.217011 + 4.55563i −0.0111033 + 0.233086i
\(383\) 2.51850 10.3814i 0.128689 0.530464i −0.870572 0.492040i \(-0.836251\pi\)
0.999262 0.0384236i \(-0.0122336\pi\)
\(384\) 1.57066 10.9242i 0.0801526 0.557474i
\(385\) 37.9024 + 21.2729i 1.93169 + 1.08417i
\(386\) −6.30348 + 4.05100i −0.320839 + 0.206191i
\(387\) −1.92085 + 0.370214i −0.0976423 + 0.0188190i
\(388\) −6.26176 25.8113i −0.317893 1.31037i
\(389\) 19.7252 1.88353i 1.00011 0.0954986i 0.417860 0.908511i \(-0.362780\pi\)
0.582246 + 0.813013i \(0.302174\pi\)
\(390\) −3.22615 + 5.58786i −0.163363 + 0.282952i
\(391\) −32.4838 + 18.4874i −1.64278 + 0.934949i
\(392\) −11.1355 + 4.77521i −0.562426 + 0.241185i
\(393\) 0.407039 0.891291i 0.0205324 0.0449597i
\(394\) −3.91471 + 3.73267i −0.197220 + 0.188049i
\(395\) 6.15352 17.7794i 0.309617 0.894580i
\(396\) −7.63715 3.93722i −0.383781 0.197853i
\(397\) −9.26844 26.7794i −0.465170 1.34402i −0.896986 0.442058i \(-0.854248\pi\)
0.431816 0.901961i \(-0.357873\pi\)
\(398\) 1.07991 7.51096i 0.0541312 0.376491i
\(399\) −8.58446 16.1660i −0.429761 0.809312i
\(400\) 15.8216 + 10.1679i 0.791081 + 0.508397i
\(401\) 15.4763 + 6.19576i 0.772848 + 0.309402i 0.724360 0.689422i \(-0.242135\pi\)
0.0484881 + 0.998824i \(0.484560\pi\)
\(402\) 1.28294 1.80164i 0.0639872 0.0898575i
\(403\) 19.4396 27.2992i 0.968358 1.35987i
\(404\) 8.94583 + 3.58137i 0.445072 + 0.178180i
\(405\) 2.88165 + 1.85193i 0.143190 + 0.0920229i
\(406\) 6.23396 + 0.221053i 0.309386 + 0.0109707i
\(407\) −0.311753 + 2.16829i −0.0154530 + 0.107478i
\(408\) −4.41200 12.7476i −0.218427 0.631103i
\(409\) 12.7117 + 6.55333i 0.628553 + 0.324041i 0.742903 0.669399i \(-0.233448\pi\)
−0.114350 + 0.993440i \(0.536479\pi\)
\(410\) −1.38394 + 3.99864i −0.0683481 + 0.197479i
\(411\) 1.44743 1.38012i 0.0713965 0.0680764i
\(412\) −5.24249 + 11.4795i −0.258279 + 0.565553i
\(413\) 17.7718 15.7817i 0.874495 0.776564i
\(414\) 2.13075 0.502972i 0.104721 0.0247197i
\(415\) −0.808674 + 1.40066i −0.0396962 + 0.0687559i
\(416\) 19.4568 1.85789i 0.953946 0.0910908i
\(417\) 4.87968 + 20.1143i 0.238959 + 0.985003i
\(418\) −14.8726 + 2.86645i −0.727440 + 0.140203i
\(419\) 9.27919 5.96337i 0.453318 0.291330i −0.293989 0.955809i \(-0.594983\pi\)
0.747307 + 0.664479i \(0.231347\pi\)
\(420\) 0.197359 + 16.2358i 0.00963016 + 0.792226i
\(421\) −2.80156 + 19.4853i −0.136540 + 0.949653i 0.800227 + 0.599698i \(0.204712\pi\)
−0.936766 + 0.349956i \(0.886197\pi\)
\(422\) 0.224531 0.925531i 0.0109300 0.0450542i
\(423\) 0.126675 2.65924i 0.00615916 0.129297i
\(424\) −7.55945 + 5.94481i −0.367119 + 0.288706i
\(425\) 52.2401 + 4.98832i 2.53402 + 0.241969i
\(426\) 0.775714 + 1.69858i 0.0375835 + 0.0822963i
\(427\) 0.895340 4.96980i 0.0433285 0.240505i
\(428\) 3.92994 + 2.52562i 0.189961 + 0.122081i
\(429\) 4.66543 19.2312i 0.225249 0.928490i
\(430\) 2.83983 1.13690i 0.136949 0.0548260i
\(431\) 13.2935 + 2.56212i 0.640326 + 0.123413i 0.499072 0.866561i \(-0.333674\pi\)
0.141254 + 0.989973i \(0.454886\pi\)
\(432\) −0.132899 2.78990i −0.00639411 0.134229i
\(433\) −21.2707 24.5477i −1.02221 1.17969i −0.983587 0.180435i \(-0.942249\pi\)
−0.0386194 0.999254i \(-0.512296\pi\)
\(434\) −0.813703 + 9.77585i −0.0390590 + 0.469256i
\(435\) 7.34921 16.0925i 0.352368 0.771578i
\(436\) −10.5281 + 18.2352i −0.504206 + 0.873310i
\(437\) −20.6707 + 25.9527i −0.988813 + 1.24149i
\(438\) 1.60613 + 2.78190i 0.0767439 + 0.132924i
\(439\) 10.0677 + 14.1381i 0.480506 + 0.674776i 0.981673 0.190574i \(-0.0610351\pi\)
−0.501167 + 0.865351i \(0.667096\pi\)
\(440\) 27.2829 + 8.01098i 1.30066 + 0.381909i
\(441\) −5.79504 + 3.92651i −0.275954 + 0.186977i
\(442\) 12.3498 7.93670i 0.587418 0.377510i
\(443\) 6.25018 + 18.0587i 0.296955 + 0.857995i 0.990492 + 0.137574i \(0.0439304\pi\)
−0.693537 + 0.720421i \(0.743948\pi\)
\(444\) −0.759724 + 0.304147i −0.0360549 + 0.0144342i
\(445\) −6.83017 6.51256i −0.323781 0.308725i
\(446\) 3.85157 1.98562i 0.182377 0.0940219i
\(447\) 1.14674 + 7.97575i 0.0542389 + 0.377240i
\(448\) 7.31435 5.34369i 0.345570 0.252466i
\(449\) 10.0889 + 22.0915i 0.476122 + 1.04256i 0.983512 + 0.180845i \(0.0578834\pi\)
−0.507389 + 0.861717i \(0.669389\pi\)
\(450\) −2.85369 1.14245i −0.134524 0.0538555i
\(451\) 0.617493 12.9628i 0.0290766 0.610393i
\(452\) 2.24813 + 2.14359i 0.105743 + 0.100826i
\(453\) 2.15205 + 1.69239i 0.101112 + 0.0795154i
\(454\) −1.92296 + 2.21922i −0.0902491 + 0.104153i
\(455\) −36.2316 + 9.25742i −1.69856 + 0.433994i
\(456\) −7.84170 9.04980i −0.367221 0.423796i
\(457\) 25.3377 24.1594i 1.18525 1.13013i 0.196504 0.980503i \(-0.437041\pi\)
0.988742 0.149628i \(-0.0478075\pi\)
\(458\) −1.43838 + 0.137348i −0.0672110 + 0.00641787i
\(459\) −3.89674 6.74935i −0.181884 0.315033i
\(460\) 26.8475 12.0606i 1.25177 0.562328i
\(461\) −19.5546 −0.910749 −0.455374 0.890300i \(-0.650495\pi\)
−0.455374 + 0.890300i \(0.650495\pi\)
\(462\) 1.69935 + 5.53754i 0.0790608 + 0.257630i
\(463\) −29.6141 8.69548i −1.37628 0.404113i −0.491809 0.870703i \(-0.663664\pi\)
−0.884474 + 0.466590i \(0.845482\pi\)
\(464\) −14.1646 + 2.73000i −0.657575 + 0.126737i
\(465\) 24.7285 + 12.7484i 1.14676 + 0.591193i
\(466\) 7.29756 + 1.40649i 0.338053 + 0.0651544i
\(467\) 10.6799 + 8.39880i 0.494209 + 0.388650i 0.833925 0.551878i \(-0.186089\pi\)
−0.339716 + 0.940528i \(0.610331\pi\)
\(468\) 7.09317 2.08274i 0.327882 0.0962749i
\(469\) 12.6650 1.97837i 0.584817 0.0913526i
\(470\) 0.592459 + 4.12064i 0.0273281 + 0.190071i
\(471\) −8.64550 0.825545i −0.398363 0.0380391i
\(472\) 9.01932 12.6659i 0.415148 0.582993i
\(473\) −7.37451 + 5.79938i −0.339080 + 0.266656i
\(474\) 2.22862 1.14893i 0.102364 0.0527722i
\(475\) 44.6972 13.1243i 2.05085 0.602183i
\(476\) 16.5275 33.0389i 0.757538 1.51433i
\(477\) −3.63848 + 4.19903i −0.166595 + 0.192261i
\(478\) 0.173937 + 3.65138i 0.00795567 + 0.167010i
\(479\) 11.3799 32.8799i 0.519959 1.50232i −0.313417 0.949615i \(-0.601474\pi\)
0.833376 0.552706i \(-0.186405\pi\)
\(480\) 3.82532 + 15.7682i 0.174601 + 0.719716i
\(481\) −1.09325 1.53526i −0.0498480 0.0700017i
\(482\) 5.44470 0.247999
\(483\) 10.7150 + 6.79615i 0.487552 + 0.309236i
\(484\) −21.4999 −0.977269
\(485\) 29.4558 + 41.3649i 1.33752 + 1.87829i
\(486\) 0.107625 + 0.443635i 0.00488195 + 0.0201237i
\(487\) −9.80064 + 28.3171i −0.444109 + 1.28317i 0.471772 + 0.881721i \(0.343615\pi\)
−0.915881 + 0.401449i \(0.868507\pi\)
\(488\) −0.157193 3.29989i −0.00711581 0.149379i
\(489\) −7.91863 + 9.13859i −0.358093 + 0.413261i
\(490\) 7.73605 7.74396i 0.349479 0.349836i
\(491\) −25.4871 + 7.48369i −1.15022 + 0.337734i −0.800624 0.599168i \(-0.795498\pi\)
−0.349593 + 0.936902i \(0.613680\pi\)
\(492\) 4.30909 2.22149i 0.194269 0.100153i
\(493\) −31.6393 + 24.8814i −1.42496 + 1.12060i
\(494\) 7.55901 10.6152i 0.340096 0.477598i
\(495\) 16.3535 + 1.56157i 0.735036 + 0.0701874i
\(496\) −3.22843 22.4542i −0.144961 1.00822i
\(497\) −3.89987 + 10.0953i −0.174933 + 0.452838i
\(498\) −0.206811 + 0.0607253i −0.00926744 + 0.00272116i
\(499\) 21.2208 + 16.6883i 0.949975 + 0.747069i 0.967524 0.252777i \(-0.0813440\pi\)
−0.0175493 + 0.999846i \(0.505586\pi\)
\(500\) −10.4465 2.01340i −0.467183 0.0900421i
\(501\) 21.5813 + 11.1259i 0.964180 + 0.497069i
\(502\) 9.61965 1.85403i 0.429346 0.0827496i
\(503\) 17.1870 + 5.04657i 0.766332 + 0.225015i 0.641459 0.767158i \(-0.278330\pi\)
0.124873 + 0.992173i \(0.460148\pi\)
\(504\) −3.11968 + 3.35249i −0.138962 + 0.149332i
\(505\) −18.4235 −0.819836
\(506\) 7.97751 6.82657i 0.354644 0.303478i
\(507\) 2.01301 + 3.48663i 0.0894008 + 0.154847i
\(508\) 25.6594 2.45018i 1.13845 0.108709i
\(509\) −15.6625 + 14.9342i −0.694229 + 0.661946i −0.952644 0.304088i \(-0.901648\pi\)
0.258415 + 0.966034i \(0.416800\pi\)
\(510\) 7.98065 + 9.21016i 0.353389 + 0.407833i
\(511\) −5.02758 + 17.9256i −0.222407 + 0.792982i
\(512\) 14.9957 17.3059i 0.662722 0.764822i
\(513\) −5.43809 4.27656i −0.240098 0.188815i
\(514\) −2.23793 2.13386i −0.0987109 0.0941207i
\(515\) 1.14807 24.1010i 0.0505902 1.06202i
\(516\) −3.25369 1.30258i −0.143236 0.0573429i
\(517\) −5.30395 11.6140i −0.233267 0.510784i
\(518\) 0.504573 + 0.223059i 0.0221697 + 0.00980064i
\(519\) 2.55408 + 17.7640i 0.112112 + 0.779754i
\(520\) −21.7450 + 11.2103i −0.953581 + 0.491605i
\(521\) −26.7122 25.4701i −1.17028 1.11586i −0.991247 0.132022i \(-0.957853\pi\)
−0.179038 0.983842i \(-0.557298\pi\)
\(522\) 2.18881 0.876267i 0.0958016 0.0383532i
\(523\) −4.87767 14.0931i −0.213286 0.616248i 0.786714 0.617318i \(-0.211781\pi\)
−0.999999 + 0.00106960i \(0.999660\pi\)
\(524\) 1.47680 0.949084i 0.0645145 0.0414609i
\(525\) −6.82181 16.4574i −0.297728 0.718261i
\(526\) −6.74838 1.98150i −0.294243 0.0863977i
\(527\) −36.7167 51.5613i −1.59940 2.24605i
\(528\) −6.69757 11.6005i −0.291474 0.504849i
\(529\) 3.55477 22.7236i 0.154555 0.987984i
\(530\) 4.34410 7.52420i 0.188696 0.326830i
\(531\) 3.73180 8.17151i 0.161946 0.354613i
\(532\) 2.72018 32.6803i 0.117935 1.41687i
\(533\) 7.31186 + 8.43833i 0.316712 + 0.365505i
\(534\) −0.0598444 1.25629i −0.00258972 0.0543649i
\(535\) −8.77024 1.69033i −0.379171 0.0730792i
\(536\) 7.78537 3.11679i 0.336277 0.134625i
\(537\) −3.55378 + 14.6489i −0.153357 + 0.632146i
\(538\) −1.82928 1.17561i −0.0788660 0.0506841i
\(539\) −16.0739 + 29.4729i −0.692351 + 1.26949i
\(540\) 2.54941 + 5.58242i 0.109709 + 0.240229i
\(541\) 36.1830 + 3.45506i 1.55563 + 0.148545i 0.837139 0.546991i \(-0.184227\pi\)
0.718492 + 0.695536i \(0.244833\pi\)
\(542\) 2.06134 1.62105i 0.0885420 0.0696302i
\(543\) −0.302206 + 6.34408i −0.0129689 + 0.272251i
\(544\) 8.70330 35.8755i 0.373151 1.53815i
\(545\) 5.72933 39.8483i 0.245417 1.70692i
\(546\) −4.34595 2.43919i −0.185990 0.104388i
\(547\) 7.51710 4.83095i 0.321408 0.206557i −0.369980 0.929040i \(-0.620636\pi\)
0.691389 + 0.722483i \(0.256999\pi\)
\(548\) 3.51836 0.678109i 0.150297 0.0289674i
\(549\) −0.449980 1.85484i −0.0192047 0.0791628i
\(550\) −14.6752 + 1.40131i −0.625752 + 0.0597521i
\(551\) −17.8652 + 30.9435i −0.761084 + 1.31824i
\(552\) 7.82750 + 2.76349i 0.333161 + 0.117622i
\(553\) 13.7893 + 4.58562i 0.586382 + 0.195000i
\(554\) 2.11175 4.62410i 0.0897198 0.196459i
\(555\) 1.13237 1.07971i 0.0480663 0.0458311i
\(556\) −12.1284 + 35.0427i −0.514359 + 1.48614i
\(557\) 18.2982 + 9.43340i 0.775321 + 0.399706i 0.800008 0.599989i \(-0.204829\pi\)
−0.0246867 + 0.999695i \(0.507859\pi\)
\(558\) 1.21267 + 3.50378i 0.0513364 + 0.148327i
\(559\) 1.14874 7.98964i 0.0485864 0.337926i
\(560\) −13.4254 + 21.4594i −0.567327 + 0.906826i
\(561\) −31.4431 20.2073i −1.32753 0.853151i
\(562\) −3.81845 1.52868i −0.161071 0.0644833i
\(563\) −15.6425 + 21.9668i −0.659253 + 0.925791i −0.999896 0.0144016i \(-0.995416\pi\)
0.340644 + 0.940193i \(0.389355\pi\)
\(564\) 2.76670 3.88529i 0.116499 0.163600i
\(565\) −5.51360 2.20731i −0.231959 0.0928624i
\(566\) −4.02134 2.58436i −0.169029 0.108629i
\(567\) −1.40324 + 2.24297i −0.0589306 + 0.0941959i
\(568\) −1.00761 + 7.00808i −0.0422784 + 0.294053i
\(569\) 4.55981 + 13.1747i 0.191157 + 0.552312i 0.999329 0.0366347i \(-0.0116638\pi\)
−0.808172 + 0.588947i \(0.799543\pi\)
\(570\) 9.61555 + 4.95716i 0.402751 + 0.207633i
\(571\) −5.71358 + 16.5083i −0.239106 + 0.690851i 0.760054 + 0.649860i \(0.225173\pi\)
−0.999160 + 0.0409909i \(0.986949\pi\)
\(572\) 25.6593 24.4661i 1.07287 1.02298i
\(573\) −4.15030 + 9.08788i −0.173381 + 0.379652i
\(574\) −3.10126 1.03132i −0.129444 0.0430465i
\(575\) −22.4289 + 23.2331i −0.935350 + 0.968889i
\(576\) 1.71188 2.96506i 0.0713282 0.123544i
\(577\) −12.4305 + 1.18697i −0.517488 + 0.0494141i −0.350533 0.936550i \(-0.613999\pi\)
−0.166955 + 0.985965i \(0.553393\pi\)
\(578\) −4.70732 19.4038i −0.195799 0.807093i
\(579\) −16.1172 + 3.10634i −0.669809 + 0.129095i
\(580\) 26.6642 17.1360i 1.10717 0.711534i
\(581\) −1.08937 0.611413i −0.0451945 0.0253657i
\(582\) −0.963119 + 6.69864i −0.0399226 + 0.277668i
\(583\) −6.28213 + 25.8953i −0.260179 + 1.07247i
\(584\) −0.579530 + 12.1658i −0.0239811 + 0.503426i
\(585\) −11.1102 + 8.73718i −0.459351 + 0.361238i
\(586\) 11.1664 + 1.06626i 0.461278 + 0.0440467i
\(587\) 16.3957 + 35.9016i 0.676723 + 1.48182i 0.866078 + 0.499909i \(0.166633\pi\)
−0.189355 + 0.981909i \(0.560640\pi\)
\(588\) −12.5375 + 0.304853i −0.517039 + 0.0125719i
\(589\) −47.2697 30.3784i −1.94771 1.25172i
\(590\) −3.31179 + 13.6514i −0.136344 + 0.562019i
\(591\) −11.0001 + 4.40379i −0.452485 + 0.181148i
\(592\) −1.25272 0.241442i −0.0514864 0.00992319i
\(593\) −1.97654 41.4927i −0.0811668 1.70390i −0.562039 0.827111i \(-0.689983\pi\)
0.480872 0.876791i \(-0.340320\pi\)
\(594\) 1.43371 + 1.65458i 0.0588257 + 0.0678884i
\(595\) −5.85877 + 70.3875i −0.240186 + 2.88561i
\(596\) −5.99707 + 13.1318i −0.245650 + 0.537897i
\(597\) 8.31123 14.3955i 0.340156 0.589167i
\(598\) −0.914343 + 8.98727i −0.0373903 + 0.367517i
\(599\) −15.7354 27.2545i −0.642931 1.11359i −0.984775 0.173832i \(-0.944385\pi\)
0.341844 0.939757i \(-0.388948\pi\)
\(600\) −6.76053 9.49384i −0.275998 0.387584i
\(601\) 34.6149 + 10.1639i 1.41197 + 0.414593i 0.896778 0.442480i \(-0.145901\pi\)
0.515195 + 0.857073i \(0.327720\pi\)
\(602\) 0.904719 + 2.18261i 0.0368736 + 0.0889565i
\(603\) 4.07586 2.61940i 0.165982 0.106670i
\(604\) 1.60428 + 4.63527i 0.0652773 + 0.188606i
\(605\) 38.1619 15.2777i 1.55150 0.621127i
\(606\) −1.77697 1.69434i −0.0721846 0.0688279i
\(607\) 22.9580 11.8356i 0.931834 0.480394i 0.0756904 0.997131i \(-0.475884\pi\)
0.856144 + 0.516737i \(0.172854\pi\)
\(608\) −4.66369 32.4367i −0.189138 1.31548i
\(609\) 12.4977 + 5.52493i 0.506433 + 0.223881i
\(610\) 1.23984 + 2.71487i 0.0501997 + 0.109922i
\(611\) 10.1983 + 4.08277i 0.412578 + 0.165171i
\(612\) 0.664378 13.9470i 0.0268559 0.563775i
\(613\) −13.6002 12.9677i −0.549305 0.523761i 0.363805 0.931475i \(-0.381478\pi\)
−0.913110 + 0.407714i \(0.866326\pi\)
\(614\) −5.11876 4.02544i −0.206577 0.162454i
\(615\) −6.06996 + 7.00511i −0.244764 + 0.282473i
\(616\) −5.93097 + 21.1466i −0.238966 + 0.852020i
\(617\) −14.1482 16.3279i −0.569584 0.657335i 0.395748 0.918359i \(-0.370485\pi\)
−0.965332 + 0.261024i \(0.915940\pi\)
\(618\) 2.32721 2.21899i 0.0936142 0.0892610i
\(619\) 21.8349 2.08498i 0.877619 0.0838025i 0.353487 0.935439i \(-0.384996\pi\)
0.524132 + 0.851637i \(0.324390\pi\)
\(620\) 24.9223 + 43.1667i 1.00090 + 1.73362i
\(621\) 4.74270 + 0.711883i 0.190318 + 0.0285669i
\(622\) −2.23966 −0.0898021
\(623\) 4.96571 5.33628i 0.198947 0.213794i
\(624\) 11.0580 + 3.24694i 0.442676 + 0.129981i
\(625\) −13.0863 + 2.52217i −0.523451 + 0.100887i
\(626\) 6.67360 + 3.44048i 0.266731 + 0.137509i
\(627\) −32.5793 6.27915i −1.30109 0.250765i
\(628\) −12.2308 9.61841i −0.488062 0.383816i
\(629\) −3.41559 + 1.00291i −0.136189 + 0.0399886i
\(630\) 1.49085 3.85926i 0.0593967 0.153756i
\(631\) −5.79814 40.3270i −0.230820 1.60539i −0.694570 0.719425i \(-0.744405\pi\)
0.463750 0.885966i \(-0.346504\pi\)
\(632\) 9.46382 + 0.903685i 0.376451 + 0.0359467i
\(633\) 1.21014 1.69941i 0.0480988 0.0675453i
\(634\) 3.66942 2.88566i 0.145731 0.114604i
\(635\) −43.8038 + 22.5824i −1.73830 + 0.896156i
\(636\) −9.55115 + 2.80447i −0.378728 + 0.111204i
\(637\) −7.48992 27.8958i −0.296762 1.10527i
\(638\) 7.40464 8.54541i 0.293153 0.338316i
\(639\) 0.194634 + 4.08586i 0.00769958 + 0.161634i
\(640\) −12.3648 + 35.7256i −0.488760 + 1.41218i
\(641\) 4.84822 + 19.9846i 0.191493 + 0.789346i 0.983807 + 0.179232i \(0.0573613\pi\)
−0.792314 + 0.610114i \(0.791124\pi\)
\(642\) −0.690448 0.969599i −0.0272498 0.0382670i
\(643\) −37.2788 −1.47013 −0.735066 0.677996i \(-0.762849\pi\)
−0.735066 + 0.677996i \(0.762849\pi\)
\(644\) 9.56680 + 20.6219i 0.376985 + 0.812616i
\(645\) 6.70083 0.263845
\(646\) −14.2771 20.0494i −0.561725 0.788832i
\(647\) −5.60313 23.0964i −0.220282 0.908014i −0.969382 0.245557i \(-0.921029\pi\)
0.749100 0.662457i \(-0.230486\pi\)
\(648\) −0.566115 + 1.63568i −0.0222391 + 0.0642557i
\(649\) −2.04996 43.0340i −0.0804680 1.68923i
\(650\) 8.30602 9.58565i 0.325789 0.375980i
\(651\) −9.61381 + 19.2182i −0.376795 + 0.753221i
\(652\) −20.7867 + 6.10352i −0.814069 + 0.239032i
\(653\) 6.86288 3.53806i 0.268565 0.138455i −0.318684 0.947861i \(-0.603241\pi\)
0.587250 + 0.809406i \(0.300211\pi\)
\(654\) 4.21730 3.31652i 0.164909 0.129686i
\(655\) −1.94688 + 2.73401i −0.0760708 + 0.106827i
\(656\) 7.52370 + 0.718426i 0.293751 + 0.0280498i
\(657\) 1.00142 + 6.96505i 0.0390692 + 0.271733i
\(658\) −3.17693 + 0.496259i −0.123850 + 0.0193462i
\(659\) 25.3490 7.44313i 0.987456 0.289943i 0.252157 0.967686i \(-0.418860\pi\)
0.735299 + 0.677743i \(0.237042\pi\)
\(660\) 23.1354 + 18.1938i 0.900543 + 0.708194i
\(661\) −29.9659 5.77545i −1.16554 0.224639i −0.430452 0.902614i \(-0.641646\pi\)
−0.735085 + 0.677975i \(0.762858\pi\)
\(662\) 3.94665 + 2.03464i 0.153391 + 0.0790785i
\(663\) 31.5768 6.08592i 1.22634 0.236358i
\(664\) −0.784147 0.230246i −0.0304308 0.00893529i
\(665\) 18.3942 + 59.9397i 0.713295 + 2.32436i
\(666\) 0.208515 0.00807978
\(667\) 0.153291 24.7685i 0.00593544 0.959040i
\(668\) 21.7504 + 37.6728i 0.841549 + 1.45761i
\(669\) 9.44934 0.902303i 0.365333 0.0348850i
\(670\) −5.48314 + 5.22816i −0.211832 + 0.201982i
\(671\) −5.99435 6.91784i −0.231409 0.267060i
\(672\) −12.1423 + 3.10244i −0.468400 + 0.119679i
\(673\) −28.3228 + 32.6863i −1.09176 + 1.25996i −0.128413 + 0.991721i \(0.540988\pi\)
−0.963351 + 0.268243i \(0.913557\pi\)
\(674\) −3.38895 2.66510i −0.130537 0.102656i
\(675\) −4.87330 4.64668i −0.187573 0.178851i
\(676\) −0.343210 + 7.20486i −0.0132004 + 0.277110i
\(677\) −15.9549 6.38738i −0.613196 0.245487i 0.0442110 0.999022i \(-0.485923\pi\)
−0.657407 + 0.753535i \(0.728347\pi\)
\(678\) −0.328796 0.719963i −0.0126273 0.0276500i
\(679\) −31.6708 + 23.1379i −1.21541 + 0.887953i
\(680\) 6.57601 + 45.7372i 0.252179 + 1.75394i
\(681\) −5.71742 + 2.94753i −0.219092 + 0.112950i
\(682\) 12.8692 + 12.2707i 0.492787 + 0.469871i
\(683\) −24.1808 + 9.68053i −0.925252 + 0.370415i −0.784855 0.619680i \(-0.787262\pi\)
−0.140398 + 0.990095i \(0.544838\pi\)
\(684\) −4.05392 11.7130i −0.155005 0.447859i
\(685\) −5.76315 + 3.70375i −0.220199 + 0.141513i
\(686\) 6.05351 + 5.90208i 0.231124 + 0.225342i
\(687\) −3.03698 0.891738i −0.115868 0.0340219i
\(688\) −3.16931 4.45067i −0.120829 0.169680i
\(689\) −11.4630 19.8545i −0.436705 0.756395i
\(690\) −7.49289 + 0.310466i −0.285250 + 0.0118192i
\(691\) 11.5057 19.9285i 0.437699 0.758117i −0.559813 0.828619i \(-0.689127\pi\)
0.997512 + 0.0705025i \(0.0224603\pi\)
\(692\) −13.3570 + 29.2477i −0.507757 + 1.11183i
\(693\) −1.05252 + 12.6450i −0.0399817 + 0.480342i
\(694\) −2.39778 2.76718i −0.0910184 0.105041i
\(695\) −3.37349 70.8183i −0.127964 2.68629i
\(696\) 8.77790 + 1.69180i 0.332726 + 0.0641276i
\(697\) 19.5782 7.83795i 0.741579 0.296883i
\(698\) 3.57297 14.7280i 0.135239 0.557463i
\(699\) 13.6956 + 8.80163i 0.518015 + 0.332908i
\(700\) 5.65912 31.4123i 0.213895 1.18727i
\(701\) −9.97872 21.8504i −0.376891 0.825276i −0.999100 0.0424248i \(-0.986492\pi\)
0.622209 0.782852i \(-0.286236\pi\)
\(702\) −1.87512 0.179052i −0.0707719 0.00675789i
\(703\) −2.48393 + 1.95338i −0.0936832 + 0.0736733i
\(704\) 0.781290 16.4013i 0.0294460 0.618147i
\(705\) −2.14997 + 8.86230i −0.0809726 + 0.333773i
\(706\) −1.21976 + 8.48363i −0.0459064 + 0.319286i
\(707\) −0.172965 14.2290i −0.00650503 0.535137i
\(708\) 13.5396 8.70137i 0.508849 0.327017i
\(709\) −32.4935 + 6.26260i −1.22032 + 0.235197i −0.758438 0.651745i \(-0.774037\pi\)
−0.461880 + 0.886942i \(0.652825\pi\)
\(710\) −1.50800 6.21607i −0.0565943 0.233285i
\(711\) 5.46764 0.522096i 0.205052 0.0195801i
\(712\) 2.38438 4.12986i 0.0893583 0.154773i
\(713\) 38.8953 + 2.09415i 1.45664 + 0.0784264i
\(714\) −7.03835 + 6.25016i −0.263404 + 0.233906i
\(715\) −28.1592 + 61.6601i −1.05310 + 2.30596i
\(716\) −19.5454 + 18.6365i −0.730445 + 0.696478i
\(717\) −2.61905 + 7.56724i −0.0978101 + 0.282604i
\(718\) 3.60095 + 1.85642i 0.134386 + 0.0692810i
\(719\) 3.62574 + 10.4759i 0.135217 + 0.390684i 0.992199 0.124662i \(-0.0397846\pi\)
−0.856982 + 0.515346i \(0.827663\pi\)
\(720\) −1.36159 + 9.47003i −0.0507433 + 0.352927i
\(721\) 18.6247 + 0.660424i 0.693621 + 0.0245955i
\(722\) −11.0839 7.12321i −0.412501 0.265098i
\(723\) 11.0726 + 4.43281i 0.411795 + 0.164858i
\(724\) −6.60046 + 9.26904i −0.245304 + 0.344481i
\(725\) −20.1724 + 28.3282i −0.749186 + 1.05208i
\(726\) 5.08579 + 2.03604i 0.188751 + 0.0755647i
\(727\) 42.4970 + 27.3112i 1.57613 + 1.01292i 0.977254 + 0.212073i \(0.0680215\pi\)
0.598874 + 0.800843i \(0.295615\pi\)
\(728\) −8.86220 16.6890i −0.328455 0.618537i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) −3.59885 10.3982i −0.133199 0.384854i
\(731\) −13.5508 6.98594i −0.501196 0.258385i
\(732\) 1.11842 3.23147i 0.0413381 0.119438i
\(733\) 5.08583 4.84932i 0.187849 0.179114i −0.590318 0.807170i \(-0.700998\pi\)
0.778168 + 0.628057i \(0.216149\pi\)
\(734\) −5.98627 + 13.1081i −0.220957 + 0.483829i
\(735\) 22.0372 9.45019i 0.812854 0.348575i
\(736\) 13.9319 + 17.9432i 0.513535 + 0.661397i
\(737\) 11.6180 20.1229i 0.427953 0.741236i
\(738\) −1.22969 + 0.117421i −0.0452654 + 0.00432233i
\(739\) 12.2265 + 50.3985i 0.449761 + 1.85394i 0.516676 + 0.856181i \(0.327169\pi\)
−0.0669156 + 0.997759i \(0.521316\pi\)
\(740\) 2.75252 0.530504i 0.101185 0.0195017i
\(741\) 24.0147 15.4333i 0.882203 0.566958i
\(742\) 5.85194 + 3.28443i 0.214831 + 0.120575i
\(743\) 1.51933 10.5672i 0.0557390 0.387673i −0.942787 0.333396i \(-0.891805\pi\)
0.998526 0.0542773i \(-0.0172855\pi\)
\(744\) −3.31433 + 13.6619i −0.121509 + 0.500868i
\(745\) 1.31332 27.5700i 0.0481164 1.01009i
\(746\) −4.20138 + 3.30400i −0.153824 + 0.120968i
\(747\) −0.470022 0.0448816i −0.0171972 0.00164213i
\(748\) −27.8178 60.9125i −1.01712 2.22718i
\(749\) 1.22315 6.78938i 0.0446929 0.248079i
\(750\) 2.28045 + 1.46555i 0.0832702 + 0.0535145i
\(751\) −7.73297 + 31.8757i −0.282180 + 1.16316i 0.637486 + 0.770462i \(0.279974\pi\)
−0.919666 + 0.392701i \(0.871541\pi\)
\(752\) 6.90319 2.76362i 0.251733 0.100779i
\(753\) 21.0725 + 4.06139i 0.767924 + 0.148005i
\(754\) 0.462899 + 9.71744i 0.0168578 + 0.353888i
\(755\) −6.14135 7.08749i −0.223507 0.257940i
\(756\) −4.28753 + 2.02139i −0.155936 + 0.0735172i
\(757\) 1.32106 2.89272i 0.0480148 0.105138i −0.884104 0.467290i \(-0.845231\pi\)
0.932119 + 0.362152i \(0.117958\pi\)
\(758\) −6.08476 + 10.5391i −0.221008 + 0.382798i
\(759\) 21.7813 7.38796i 0.790612 0.268166i
\(760\) 20.5091 + 35.5227i 0.743942 + 1.28855i
\(761\) −6.44826 9.05532i −0.233749 0.328255i 0.680995 0.732288i \(-0.261547\pi\)
−0.914744 + 0.404033i \(0.867608\pi\)
\(762\) −6.30175 1.85036i −0.228288 0.0670315i
\(763\) 30.8298 + 4.05082i 1.11611 + 0.146649i
\(764\) −15.0580 + 9.67716i −0.544778 + 0.350107i
\(765\) 8.73140 + 25.2277i 0.315684 + 0.912110i
\(766\) −4.52728 + 1.81245i −0.163577 + 0.0654864i
\(767\) 26.8270 + 25.5795i 0.968666 + 0.923621i
\(768\) 1.60816 0.829066i 0.0580296 0.0299164i
\(769\) −1.70829 11.8814i −0.0616023 0.428454i −0.997162 0.0752851i \(-0.976013\pi\)
0.935560 0.353169i \(-0.114896\pi\)
\(770\) −2.12600 19.7273i −0.0766156 0.710922i
\(771\) −2.81388 6.16155i −0.101340 0.221903i
\(772\) −27.3006 10.9295i −0.982571 0.393362i
\(773\)