Properties

Label 260.2.o.a.183.4
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.4
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34983 + 0.421862i) q^{2} +(-1.90910 + 1.90910i) q^{3} +(1.64407 - 1.13888i) q^{4} +(-0.987103 + 2.00640i) q^{5} +(1.77158 - 3.38234i) q^{6} +(-3.15102 - 3.15102i) q^{7} +(-1.73875 + 2.23086i) q^{8} -4.28935i q^{9} +O(q^{10})\) \(q+(-1.34983 + 0.421862i) q^{2} +(-1.90910 + 1.90910i) q^{3} +(1.64407 - 1.13888i) q^{4} +(-0.987103 + 2.00640i) q^{5} +(1.77158 - 3.38234i) q^{6} +(-3.15102 - 3.15102i) q^{7} +(-1.73875 + 2.23086i) q^{8} -4.28935i q^{9} +(0.485997 - 3.12471i) q^{10} +1.76842i q^{11} +(-0.964451 + 5.31293i) q^{12} +(0.707107 + 0.707107i) q^{13} +(5.58262 + 2.92403i) q^{14} +(-1.94594 - 5.71490i) q^{15} +(1.40590 - 3.74479i) q^{16} +(2.56615 - 2.56615i) q^{17} +(1.80951 + 5.78988i) q^{18} -1.23388 q^{19} +(0.662183 + 4.42284i) q^{20} +12.0312 q^{21} +(-0.746028 - 2.38706i) q^{22} +(2.73924 - 2.73924i) q^{23} +(-0.939480 - 7.57840i) q^{24} +(-3.05126 - 3.96104i) q^{25} +(-1.25277 - 0.656171i) q^{26} +(2.46150 + 2.46150i) q^{27} +(-8.76911 - 1.59185i) q^{28} -2.75202i q^{29} +(5.03757 + 6.89321i) q^{30} -4.10776i q^{31} +(-0.317944 + 5.64791i) q^{32} +(-3.37609 - 3.37609i) q^{33} +(-2.38130 + 4.54642i) q^{34} +(9.43256 - 3.21181i) q^{35} +(-4.88506 - 7.05197i) q^{36} +(1.55050 - 1.55050i) q^{37} +(1.66552 - 0.520525i) q^{38} -2.69988 q^{39} +(-2.75966 - 5.69072i) q^{40} -11.6267 q^{41} +(-16.2401 + 5.07551i) q^{42} +(-0.431204 + 0.431204i) q^{43} +(2.01402 + 2.90740i) q^{44} +(8.60614 + 4.23403i) q^{45} +(-2.54192 + 4.85308i) q^{46} +(8.54523 + 8.54523i) q^{47} +(4.46517 + 9.83320i) q^{48} +12.8578i q^{49} +(5.78968 + 4.05951i) q^{50} +9.79809i q^{51} +(1.96784 + 0.357220i) q^{52} +(-10.2133 - 10.2133i) q^{53} +(-4.36102 - 2.28419i) q^{54} +(-3.54815 - 1.74561i) q^{55} +(12.5083 - 1.55063i) q^{56} +(2.35560 - 2.35560i) q^{57} +(1.16097 + 3.71474i) q^{58} -7.03475 q^{59} +(-9.70784 - 7.17948i) q^{60} -8.24800 q^{61} +(1.73290 + 5.54476i) q^{62} +(-13.5158 + 13.5158i) q^{63} +(-1.95347 - 7.75783i) q^{64} +(-2.11672 + 0.720749i) q^{65} +(5.98138 + 3.13290i) q^{66} +(-1.41930 - 1.41930i) q^{67} +(1.29638 - 7.14146i) q^{68} +10.4590i q^{69} +(-11.3774 + 8.31462i) q^{70} -11.4152i q^{71} +(9.56894 + 7.45813i) q^{72} +(-5.51442 - 5.51442i) q^{73} +(-1.43881 + 2.74699i) q^{74} +(13.3872 + 1.73687i) q^{75} +(-2.02857 + 1.40524i) q^{76} +(5.57231 - 5.57231i) q^{77} +(3.64437 - 1.13898i) q^{78} -6.65878 q^{79} +(6.12576 + 6.51729i) q^{80} +3.46952 q^{81} +(15.6940 - 4.90486i) q^{82} +(-3.92562 + 3.92562i) q^{83} +(19.7801 - 13.7021i) q^{84} +(2.61566 + 7.68177i) q^{85} +(0.400142 - 0.763959i) q^{86} +(5.25388 + 5.25388i) q^{87} +(-3.94509 - 3.07484i) q^{88} +8.02760i q^{89} +(-13.4030 - 2.08461i) q^{90} -4.45621i q^{91} +(1.38382 - 7.62315i) q^{92} +(7.84213 + 7.84213i) q^{93} +(-15.1395 - 7.92968i) q^{94} +(1.21796 - 2.47564i) q^{95} +(-10.1755 - 11.3894i) q^{96} +(1.20285 - 1.20285i) q^{97} +(-5.42421 - 17.3558i) q^{98} +7.58537 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34983 + 0.421862i −0.954472 + 0.298301i
\(3\) −1.90910 + 1.90910i −1.10222 + 1.10222i −0.108079 + 0.994142i \(0.534470\pi\)
−0.994142 + 0.108079i \(0.965530\pi\)
\(4\) 1.64407 1.13888i 0.822033 0.569440i
\(5\) −0.987103 + 2.00640i −0.441446 + 0.897288i
\(6\) 1.77158 3.38234i 0.723245 1.38083i
\(7\) −3.15102 3.15102i −1.19097 1.19097i −0.976795 0.214177i \(-0.931293\pi\)
−0.214177 0.976795i \(-0.568707\pi\)
\(8\) −1.73875 + 2.23086i −0.614742 + 0.788728i
\(9\) 4.28935i 1.42978i
\(10\) 0.485997 3.12471i 0.153686 0.988120i
\(11\) 1.76842i 0.533198i 0.963808 + 0.266599i \(0.0858999\pi\)
−0.963808 + 0.266599i \(0.914100\pi\)
\(12\) −0.964451 + 5.31293i −0.278413 + 1.53371i
\(13\) 0.707107 + 0.707107i 0.196116 + 0.196116i
\(14\) 5.58262 + 2.92403i 1.49202 + 0.781481i
\(15\) −1.94594 5.71490i −0.502439 1.47558i
\(16\) 1.40590 3.74479i 0.351476 0.936197i
\(17\) 2.56615 2.56615i 0.622383 0.622383i −0.323757 0.946140i \(-0.604946\pi\)
0.946140 + 0.323757i \(0.104946\pi\)
\(18\) 1.80951 + 5.78988i 0.426506 + 1.36469i
\(19\) −1.23388 −0.283071 −0.141535 0.989933i \(-0.545204\pi\)
−0.141535 + 0.989933i \(0.545204\pi\)
\(20\) 0.662183 + 4.42284i 0.148069 + 0.988977i
\(21\) 12.0312 2.62543
\(22\) −0.746028 2.38706i −0.159054 0.508923i
\(23\) 2.73924 2.73924i 0.571171 0.571171i −0.361285 0.932456i \(-0.617662\pi\)
0.932456 + 0.361285i \(0.117662\pi\)
\(24\) −0.939480 7.57840i −0.191771 1.54693i
\(25\) −3.05126 3.96104i −0.610251 0.792208i
\(26\) −1.25277 0.656171i −0.245689 0.128686i
\(27\) 2.46150 + 2.46150i 0.473717 + 0.473717i
\(28\) −8.76911 1.59185i −1.65721 0.300831i
\(29\) 2.75202i 0.511036i −0.966804 0.255518i \(-0.917754\pi\)
0.966804 0.255518i \(-0.0822461\pi\)
\(30\) 5.03757 + 6.89321i 0.919731 + 1.25852i
\(31\) 4.10776i 0.737775i −0.929474 0.368887i \(-0.879739\pi\)
0.929474 0.368887i \(-0.120261\pi\)
\(32\) −0.317944 + 5.64791i −0.0562051 + 0.998419i
\(33\) −3.37609 3.37609i −0.587702 0.587702i
\(34\) −2.38130 + 4.54642i −0.408389 + 0.779704i
\(35\) 9.43256 3.21181i 1.59439 0.542895i
\(36\) −4.88506 7.05197i −0.814176 1.17533i
\(37\) 1.55050 1.55050i 0.254900 0.254900i −0.568076 0.822976i \(-0.692312\pi\)
0.822976 + 0.568076i \(0.192312\pi\)
\(38\) 1.66552 0.520525i 0.270183 0.0844403i
\(39\) −2.69988 −0.432327
\(40\) −2.75966 5.69072i −0.436340 0.899782i
\(41\) −11.6267 −1.81579 −0.907893 0.419203i \(-0.862310\pi\)
−0.907893 + 0.419203i \(0.862310\pi\)
\(42\) −16.2401 + 5.07551i −2.50590 + 0.783169i
\(43\) −0.431204 + 0.431204i −0.0657580 + 0.0657580i −0.739221 0.673463i \(-0.764806\pi\)
0.673463 + 0.739221i \(0.264806\pi\)
\(44\) 2.01402 + 2.90740i 0.303624 + 0.438306i
\(45\) 8.60614 + 4.23403i 1.28293 + 0.631172i
\(46\) −2.54192 + 4.85308i −0.374785 + 0.715547i
\(47\) 8.54523 + 8.54523i 1.24645 + 1.24645i 0.957277 + 0.289173i \(0.0933804\pi\)
0.289173 + 0.957277i \(0.406620\pi\)
\(48\) 4.46517 + 9.83320i 0.644492 + 1.41930i
\(49\) 12.8578i 1.83683i
\(50\) 5.78968 + 4.05951i 0.818784 + 0.574102i
\(51\) 9.79809i 1.37201i
\(52\) 1.96784 + 0.357220i 0.272890 + 0.0495375i
\(53\) −10.2133 10.2133i −1.40290 1.40290i −0.790713 0.612187i \(-0.790290\pi\)
−0.612187 0.790713i \(-0.709710\pi\)
\(54\) −4.36102 2.28419i −0.593460 0.310839i
\(55\) −3.54815 1.74561i −0.478432 0.235378i
\(56\) 12.5083 1.55063i 1.67149 0.207212i
\(57\) 2.35560 2.35560i 0.312006 0.312006i
\(58\) 1.16097 + 3.71474i 0.152443 + 0.487770i
\(59\) −7.03475 −0.915846 −0.457923 0.888992i \(-0.651406\pi\)
−0.457923 + 0.888992i \(0.651406\pi\)
\(60\) −9.70784 7.17948i −1.25328 0.926867i
\(61\) −8.24800 −1.05605 −0.528024 0.849229i \(-0.677067\pi\)
−0.528024 + 0.849229i \(0.677067\pi\)
\(62\) 1.73290 + 5.54476i 0.220079 + 0.704185i
\(63\) −13.5158 + 13.5158i −1.70283 + 1.70283i
\(64\) −1.95347 7.75783i −0.244183 0.969729i
\(65\) −2.11672 + 0.720749i −0.262547 + 0.0893980i
\(66\) 5.98138 + 3.13290i 0.736258 + 0.385633i
\(67\) −1.41930 1.41930i −0.173395 0.173395i 0.615074 0.788469i \(-0.289126\pi\)
−0.788469 + 0.615074i \(0.789126\pi\)
\(68\) 1.29638 7.14146i 0.157209 0.866029i
\(69\) 10.4590i 1.25911i
\(70\) −11.3774 + 8.31462i −1.35986 + 0.993788i
\(71\) 11.4152i 1.35474i −0.735644 0.677368i \(-0.763120\pi\)
0.735644 0.677368i \(-0.236880\pi\)
\(72\) 9.56894 + 7.45813i 1.12771 + 0.878949i
\(73\) −5.51442 5.51442i −0.645414 0.645414i 0.306467 0.951881i \(-0.400853\pi\)
−0.951881 + 0.306467i \(0.900853\pi\)
\(74\) −1.43881 + 2.74699i −0.167258 + 0.319332i
\(75\) 13.3872 + 1.73687i 1.54582 + 0.200557i
\(76\) −2.02857 + 1.40524i −0.232693 + 0.161192i
\(77\) 5.57231 5.57231i 0.635024 0.635024i
\(78\) 3.64437 1.13898i 0.412644 0.128964i
\(79\) −6.65878 −0.749171 −0.374586 0.927192i \(-0.622215\pi\)
−0.374586 + 0.927192i \(0.622215\pi\)
\(80\) 6.12576 + 6.51729i 0.684881 + 0.728655i
\(81\) 3.46952 0.385502
\(82\) 15.6940 4.90486i 1.73312 0.541651i
\(83\) −3.92562 + 3.92562i −0.430893 + 0.430893i −0.888932 0.458039i \(-0.848552\pi\)
0.458039 + 0.888932i \(0.348552\pi\)
\(84\) 19.7801 13.7021i 2.15819 1.49502i
\(85\) 2.61566 + 7.68177i 0.283708 + 0.833205i
\(86\) 0.400142 0.763959i 0.0431485 0.0823798i
\(87\) 5.25388 + 5.25388i 0.563275 + 0.563275i
\(88\) −3.94509 3.07484i −0.420548 0.327779i
\(89\) 8.02760i 0.850924i 0.904976 + 0.425462i \(0.139888\pi\)
−0.904976 + 0.425462i \(0.860112\pi\)
\(90\) −13.4030 2.08461i −1.41280 0.219737i
\(91\) 4.45621i 0.467138i
\(92\) 1.38382 7.62315i 0.144274 0.794769i
\(93\) 7.84213 + 7.84213i 0.813191 + 0.813191i
\(94\) −15.1395 7.92968i −1.56152 0.817884i
\(95\) 1.21796 2.47564i 0.124960 0.253996i
\(96\) −10.1755 11.3894i −1.03853 1.16243i
\(97\) 1.20285 1.20285i 0.122131 0.122131i −0.643400 0.765531i \(-0.722477\pi\)
0.765531 + 0.643400i \(0.222477\pi\)
\(98\) −5.42421 17.3558i −0.547928 1.75320i
\(99\) 7.58537 0.762358
\(100\) −9.52761 3.03720i −0.952761 0.303720i
\(101\) −0.373555 −0.0371701 −0.0185851 0.999827i \(-0.505916\pi\)
−0.0185851 + 0.999827i \(0.505916\pi\)
\(102\) −4.13344 13.2257i −0.409271 1.30954i
\(103\) 0.262755 0.262755i 0.0258900 0.0258900i −0.694043 0.719933i \(-0.744172\pi\)
0.719933 + 0.694043i \(0.244172\pi\)
\(104\) −2.80694 + 0.347971i −0.275243 + 0.0341214i
\(105\) −11.8761 + 24.1394i −1.15899 + 2.35577i
\(106\) 18.0947 + 9.47756i 1.75752 + 0.920542i
\(107\) −1.30227 1.30227i −0.125895 0.125895i 0.641352 0.767247i \(-0.278374\pi\)
−0.767247 + 0.641352i \(0.778374\pi\)
\(108\) 6.85023 + 1.24352i 0.659164 + 0.119657i
\(109\) 16.9444i 1.62298i −0.584366 0.811490i \(-0.698657\pi\)
0.584366 0.811490i \(-0.301343\pi\)
\(110\) 5.52579 + 0.859445i 0.526864 + 0.0819449i
\(111\) 5.92011i 0.561912i
\(112\) −16.2299 + 7.36986i −1.53358 + 0.696386i
\(113\) 3.61951 + 3.61951i 0.340495 + 0.340495i 0.856553 0.516058i \(-0.172601\pi\)
−0.516058 + 0.856553i \(0.672601\pi\)
\(114\) −2.18591 + 4.17338i −0.204729 + 0.390873i
\(115\) 2.79209 + 8.19991i 0.260364 + 0.764646i
\(116\) −3.13422 4.52449i −0.291005 0.420089i
\(117\) 3.03303 3.03303i 0.280404 0.280404i
\(118\) 9.49569 2.96769i 0.874149 0.273198i
\(119\) −16.1720 −1.48248
\(120\) 16.1326 + 5.59570i 1.47270 + 0.510815i
\(121\) 7.87270 0.715700
\(122\) 11.1334 3.47951i 1.00797 0.315020i
\(123\) 22.1966 22.1966i 2.00140 2.00140i
\(124\) −4.67824 6.75342i −0.420119 0.606475i
\(125\) 10.9593 2.21207i 0.980232 0.197854i
\(126\) 12.5422 23.9458i 1.11735 2.13326i
\(127\) −4.78144 4.78144i −0.424284 0.424284i 0.462392 0.886676i \(-0.346991\pi\)
−0.886676 + 0.462392i \(0.846991\pi\)
\(128\) 5.90957 + 9.64764i 0.522338 + 0.852739i
\(129\) 1.64643i 0.144960i
\(130\) 2.55315 1.86585i 0.223926 0.163646i
\(131\) 6.06174i 0.529617i 0.964301 + 0.264808i \(0.0853087\pi\)
−0.964301 + 0.264808i \(0.914691\pi\)
\(132\) −9.39548 1.70555i −0.817772 0.148449i
\(133\) 3.88796 + 3.88796i 0.337129 + 0.337129i
\(134\) 2.51455 + 1.31706i 0.217224 + 0.113776i
\(135\) −7.36851 + 2.50900i −0.634181 + 0.215940i
\(136\) 1.26282 + 10.1866i 0.108286 + 0.873496i
\(137\) −12.4596 + 12.4596i −1.06449 + 1.06449i −0.0667216 + 0.997772i \(0.521254\pi\)
−0.997772 + 0.0667216i \(0.978746\pi\)
\(138\) −4.41224 14.1178i −0.375595 1.20179i
\(139\) 11.7642 0.997824 0.498912 0.866653i \(-0.333733\pi\)
0.498912 + 0.866653i \(0.333733\pi\)
\(140\) 11.8499 16.0230i 1.00150 1.35419i
\(141\) −32.6275 −2.74773
\(142\) 4.81564 + 15.4086i 0.404119 + 1.29306i
\(143\) −1.25046 + 1.25046i −0.104569 + 0.104569i
\(144\) −16.0627 6.03041i −1.33856 0.502534i
\(145\) 5.52163 + 2.71652i 0.458547 + 0.225595i
\(146\) 9.76984 + 5.11719i 0.808558 + 0.423502i
\(147\) −24.5469 24.5469i −2.02459 2.02459i
\(148\) 0.783287 4.31494i 0.0643858 0.354686i
\(149\) 7.73718i 0.633854i 0.948450 + 0.316927i \(0.102651\pi\)
−0.948450 + 0.316927i \(0.897349\pi\)
\(150\) −18.8031 + 3.30306i −1.53527 + 0.269694i
\(151\) 18.7832i 1.52856i −0.644886 0.764279i \(-0.723095\pi\)
0.644886 0.764279i \(-0.276905\pi\)
\(152\) 2.14541 2.75260i 0.174015 0.223266i
\(153\) −11.0071 11.0071i −0.889873 0.889873i
\(154\) −5.17091 + 9.87240i −0.416684 + 0.795541i
\(155\) 8.24179 + 4.05478i 0.661996 + 0.325688i
\(156\) −4.43878 + 3.07484i −0.355387 + 0.246184i
\(157\) 3.98679 3.98679i 0.318180 0.318180i −0.529888 0.848068i \(-0.677766\pi\)
0.848068 + 0.529888i \(0.177766\pi\)
\(158\) 8.98820 2.80908i 0.715063 0.223479i
\(159\) 38.9964 3.09261
\(160\) −11.0181 6.21299i −0.871058 0.491180i
\(161\) −17.2628 −1.36050
\(162\) −4.68325 + 1.46366i −0.367951 + 0.114996i
\(163\) −6.93048 + 6.93048i −0.542837 + 0.542837i −0.924360 0.381522i \(-0.875400\pi\)
0.381522 + 0.924360i \(0.375400\pi\)
\(164\) −19.1151 + 13.2414i −1.49264 + 1.03398i
\(165\) 10.1063 3.44123i 0.786777 0.267899i
\(166\) 3.64284 6.95498i 0.282739 0.539811i
\(167\) −2.14619 2.14619i −0.166078 0.166078i 0.619175 0.785253i \(-0.287467\pi\)
−0.785253 + 0.619175i \(0.787467\pi\)
\(168\) −20.9193 + 26.8400i −1.61396 + 2.07075i
\(169\) 1.00000i 0.0769231i
\(170\) −6.77133 9.26561i −0.519337 0.710640i
\(171\) 5.29253i 0.404730i
\(172\) −0.217838 + 1.20002i −0.0166100 + 0.0915005i
\(173\) 1.40204 + 1.40204i 0.106595 + 0.106595i 0.758393 0.651798i \(-0.225985\pi\)
−0.651798 + 0.758393i \(0.725985\pi\)
\(174\) −9.30824 4.87542i −0.705656 0.369605i
\(175\) −2.86675 + 22.0959i −0.216706 + 1.67029i
\(176\) 6.62235 + 2.48622i 0.499178 + 0.187406i
\(177\) 13.4301 13.4301i 1.00946 1.00946i
\(178\) −3.38654 10.8359i −0.253832 0.812183i
\(179\) −10.6942 −0.799325 −0.399662 0.916662i \(-0.630873\pi\)
−0.399662 + 0.916662i \(0.630873\pi\)
\(180\) 18.9711 2.84034i 1.41402 0.211706i
\(181\) 13.3815 0.994639 0.497319 0.867568i \(-0.334318\pi\)
0.497319 + 0.867568i \(0.334318\pi\)
\(182\) 1.87990 + 6.01511i 0.139348 + 0.445870i
\(183\) 15.7463 15.7463i 1.16400 1.16400i
\(184\) 1.34799 + 10.8737i 0.0993754 + 0.801621i
\(185\) 1.58041 + 4.64141i 0.116194 + 0.341243i
\(186\) −13.8938 7.27723i −1.01874 0.533592i
\(187\) 4.53803 + 4.53803i 0.331853 + 0.331853i
\(188\) 23.7809 + 4.31693i 1.73440 + 0.314844i
\(189\) 15.5125i 1.12837i
\(190\) −0.599659 + 3.85550i −0.0435039 + 0.279708i
\(191\) 22.0682i 1.59680i 0.602128 + 0.798399i \(0.294320\pi\)
−0.602128 + 0.798399i \(0.705680\pi\)
\(192\) 18.5399 + 11.0811i 1.33800 + 0.799712i
\(193\) −11.0984 11.0984i −0.798884 0.798884i 0.184036 0.982920i \(-0.441084\pi\)
−0.982920 + 0.184036i \(0.941084\pi\)
\(194\) −1.11620 + 2.13108i −0.0801387 + 0.153002i
\(195\) 2.66506 5.41703i 0.190849 0.387922i
\(196\) 14.6435 + 21.1391i 1.04596 + 1.50993i
\(197\) 4.33528 4.33528i 0.308876 0.308876i −0.535598 0.844473i \(-0.679914\pi\)
0.844473 + 0.535598i \(0.179914\pi\)
\(198\) −10.2389 + 3.19997i −0.727649 + 0.227412i
\(199\) 19.2499 1.36459 0.682295 0.731077i \(-0.260982\pi\)
0.682295 + 0.731077i \(0.260982\pi\)
\(200\) 14.1419 + 0.0803545i 0.999984 + 0.00568192i
\(201\) 5.41916 0.382238
\(202\) 0.504234 0.157588i 0.0354778 0.0110879i
\(203\) −8.67164 + 8.67164i −0.608630 + 0.608630i
\(204\) 11.1589 + 16.1087i 0.781276 + 1.12783i
\(205\) 11.4768 23.3278i 0.801571 1.62928i
\(206\) −0.243827 + 0.465519i −0.0169882 + 0.0324343i
\(207\) −11.7496 11.7496i −0.816651 0.816651i
\(208\) 3.64209 1.65384i 0.252533 0.114673i
\(209\) 2.18201i 0.150933i
\(210\) 5.84714 37.5941i 0.403491 2.59424i
\(211\) 7.78507i 0.535946i 0.963426 + 0.267973i \(0.0863539\pi\)
−0.963426 + 0.267973i \(0.913646\pi\)
\(212\) −28.4230 5.15959i −1.95210 0.354362i
\(213\) 21.7928 + 21.7928i 1.49322 + 1.49322i
\(214\) 2.30722 + 1.20846i 0.157718 + 0.0826089i
\(215\) −0.439523 1.29081i −0.0299752 0.0880324i
\(216\) −9.77122 + 1.21132i −0.664847 + 0.0824198i
\(217\) −12.9436 + 12.9436i −0.878669 + 0.878669i
\(218\) 7.14820 + 22.8720i 0.484137 + 1.54909i
\(219\) 21.0552 1.42278
\(220\) −7.82143 + 1.17102i −0.527321 + 0.0789500i
\(221\) 3.62908 0.244119
\(222\) −2.49747 7.99112i −0.167619 0.536329i
\(223\) −9.01350 + 9.01350i −0.603589 + 0.603589i −0.941263 0.337674i \(-0.890360\pi\)
0.337674 + 0.941263i \(0.390360\pi\)
\(224\) 18.7985 16.7948i 1.25603 1.12215i
\(225\) −16.9903 + 13.0879i −1.13269 + 0.872527i
\(226\) −6.41265 3.35878i −0.426563 0.223423i
\(227\) −15.9244 15.9244i −1.05694 1.05694i −0.998278 0.0586582i \(-0.981318\pi\)
−0.0586582 0.998278i \(-0.518682\pi\)
\(228\) 1.19001 6.55550i 0.0788105 0.434148i
\(229\) 11.1968i 0.739908i 0.929050 + 0.369954i \(0.120627\pi\)
−0.929050 + 0.369954i \(0.879373\pi\)
\(230\) −7.22806 9.89058i −0.476604 0.652166i
\(231\) 21.2762i 1.39987i
\(232\) 6.13936 + 4.78508i 0.403069 + 0.314156i
\(233\) −6.39478 6.39478i −0.418936 0.418936i 0.465901 0.884837i \(-0.345730\pi\)
−0.884837 + 0.465901i \(0.845730\pi\)
\(234\) −2.81455 + 5.37358i −0.183993 + 0.351282i
\(235\) −25.5801 + 8.71010i −1.66866 + 0.568184i
\(236\) −11.5656 + 8.01173i −0.752855 + 0.521519i
\(237\) 12.7123 12.7123i 0.825752 0.825752i
\(238\) 21.8293 6.82233i 1.41499 0.442226i
\(239\) −7.21067 −0.466419 −0.233210 0.972426i \(-0.574923\pi\)
−0.233210 + 0.972426i \(0.574923\pi\)
\(240\) −24.1369 0.747477i −1.55803 0.0482494i
\(241\) 12.2443 0.788728 0.394364 0.918954i \(-0.370965\pi\)
0.394364 + 0.918954i \(0.370965\pi\)
\(242\) −10.6268 + 3.32119i −0.683115 + 0.213494i
\(243\) −14.0082 + 14.0082i −0.898626 + 0.898626i
\(244\) −13.5603 + 9.39349i −0.868106 + 0.601356i
\(245\) −25.7978 12.6920i −1.64816 0.810860i
\(246\) −20.5976 + 39.3254i −1.31326 + 2.50730i
\(247\) −0.872482 0.872482i −0.0555147 0.0555147i
\(248\) 9.16383 + 7.14238i 0.581904 + 0.453541i
\(249\) 14.9888i 0.949879i
\(250\) −13.8600 + 7.60923i −0.876583 + 0.481250i
\(251\) 2.83819i 0.179145i −0.995980 0.0895726i \(-0.971450\pi\)
0.995980 0.0895726i \(-0.0285501\pi\)
\(252\) −6.82799 + 37.6138i −0.430123 + 2.36945i
\(253\) 4.84412 + 4.84412i 0.304547 + 0.304547i
\(254\) 8.47122 + 4.43701i 0.531532 + 0.278403i
\(255\) −19.6589 9.67172i −1.23109 0.605667i
\(256\) −12.0469 10.5296i −0.752929 0.658101i
\(257\) −9.01088 + 9.01088i −0.562084 + 0.562084i −0.929899 0.367815i \(-0.880106\pi\)
0.367815 + 0.929899i \(0.380106\pi\)
\(258\) 0.694564 + 2.22239i 0.0432417 + 0.138360i
\(259\) −9.77127 −0.607157
\(260\) −2.65919 + 3.59565i −0.164916 + 0.222993i
\(261\) −11.8044 −0.730671
\(262\) −2.55722 8.18230i −0.157985 0.505504i
\(263\) −0.472686 + 0.472686i −0.0291471 + 0.0291471i −0.721530 0.692383i \(-0.756561\pi\)
0.692383 + 0.721530i \(0.256561\pi\)
\(264\) 13.4018 1.66139i 0.824823 0.102252i
\(265\) 30.5734 10.4103i 1.87811 0.639501i
\(266\) −6.88826 3.60789i −0.422346 0.221214i
\(267\) −15.3255 15.3255i −0.937906 0.937906i
\(268\) −3.94982 0.717007i −0.241274 0.0437982i
\(269\) 6.52851i 0.398050i 0.979994 + 0.199025i \(0.0637775\pi\)
−0.979994 + 0.199025i \(0.936222\pi\)
\(270\) 8.88777 6.49520i 0.540892 0.395285i
\(271\) 22.4977i 1.36664i −0.730119 0.683320i \(-0.760535\pi\)
0.730119 0.683320i \(-0.239465\pi\)
\(272\) −6.00193 13.2174i −0.363920 0.801425i
\(273\) 8.50736 + 8.50736i 0.514889 + 0.514889i
\(274\) 11.5621 22.0745i 0.698489 1.33357i
\(275\) 7.00478 5.39589i 0.422404 0.325385i
\(276\) 11.9115 + 17.1952i 0.716990 + 1.03503i
\(277\) −21.0843 + 21.0843i −1.26683 + 1.26683i −0.319114 + 0.947716i \(0.603385\pi\)
−0.947716 + 0.319114i \(0.896615\pi\)
\(278\) −15.8796 + 4.96285i −0.952395 + 0.297652i
\(279\) −17.6196 −1.05486
\(280\) −9.23581 + 26.6273i −0.551945 + 1.59128i
\(281\) −3.11270 −0.185688 −0.0928440 0.995681i \(-0.529596\pi\)
−0.0928440 + 0.995681i \(0.529596\pi\)
\(282\) 44.0414 13.7643i 2.62263 0.819650i
\(283\) 1.41066 1.41066i 0.0838550 0.0838550i −0.663935 0.747790i \(-0.731115\pi\)
0.747790 + 0.663935i \(0.231115\pi\)
\(284\) −13.0006 18.7674i −0.771441 1.11364i
\(285\) 2.40104 + 7.05148i 0.142226 + 0.417693i
\(286\) 1.16038 2.21543i 0.0686149 0.131001i
\(287\) 36.6359 + 36.6359i 2.16255 + 2.16255i
\(288\) 24.2259 + 1.36377i 1.42752 + 0.0803611i
\(289\) 3.82975i 0.225279i
\(290\) −8.59925 1.33747i −0.504965 0.0785389i
\(291\) 4.59273i 0.269231i
\(292\) −15.3463 2.78581i −0.898077 0.163027i
\(293\) −0.0447969 0.0447969i −0.00261706 0.00261706i 0.705797 0.708414i \(-0.250589\pi\)
−0.708414 + 0.705797i \(0.750589\pi\)
\(294\) 43.4894 + 22.7786i 2.53635 + 1.32848i
\(295\) 6.94402 14.1145i 0.404296 0.821778i
\(296\) 0.763007 + 6.15487i 0.0443489 + 0.357744i
\(297\) −4.35297 + 4.35297i −0.252585 + 0.252585i
\(298\) −3.26402 10.4438i −0.189079 0.604996i
\(299\) 3.87387 0.224032
\(300\) 23.9875 12.3909i 1.38492 0.715388i
\(301\) 2.71746 0.156632
\(302\) 7.92392 + 25.3541i 0.455970 + 1.45896i
\(303\) 0.713155 0.713155i 0.0409697 0.0409697i
\(304\) −1.73471 + 4.62060i −0.0994925 + 0.265010i
\(305\) 8.14163 16.5488i 0.466188 0.947579i
\(306\) 19.5012 + 10.2142i 1.11481 + 0.583908i
\(307\) −0.114902 0.114902i −0.00655779 0.00655779i 0.703820 0.710378i \(-0.251476\pi\)
−0.710378 + 0.703820i \(0.751476\pi\)
\(308\) 2.81505 15.5074i 0.160402 0.883619i
\(309\) 1.00325i 0.0570730i
\(310\) −12.8355 1.99636i −0.729010 0.113385i
\(311\) 21.1090i 1.19698i −0.801129 0.598492i \(-0.795767\pi\)
0.801129 0.598492i \(-0.204233\pi\)
\(312\) 4.69443 6.02305i 0.265770 0.340988i
\(313\) −3.33321 3.33321i −0.188404 0.188404i 0.606602 0.795006i \(-0.292532\pi\)
−0.795006 + 0.606602i \(0.792532\pi\)
\(314\) −3.69960 + 7.06334i −0.208780 + 0.398608i
\(315\) −13.7766 40.4596i −0.776222 2.27964i
\(316\) −10.9475 + 7.58355i −0.615843 + 0.426608i
\(317\) 14.6974 14.6974i 0.825488 0.825488i −0.161401 0.986889i \(-0.551601\pi\)
0.986889 + 0.161401i \(0.0516013\pi\)
\(318\) −52.6383 + 16.4511i −2.95181 + 0.922530i
\(319\) 4.86671 0.272484
\(320\) 17.4936 + 3.73835i 0.977920 + 0.208980i
\(321\) 4.97234 0.277529
\(322\) 23.3017 7.28250i 1.29856 0.405838i
\(323\) −3.16631 + 3.16631i −0.176178 + 0.176178i
\(324\) 5.70412 3.95137i 0.316895 0.219520i
\(325\) 0.643315 4.95844i 0.0356847 0.275045i
\(326\) 6.43125 12.2787i 0.356194 0.680052i
\(327\) 32.3486 + 32.3486i 1.78888 + 1.78888i
\(328\) 20.2160 25.9375i 1.11624 1.43216i
\(329\) 53.8523i 2.96897i
\(330\) −12.1901 + 8.90854i −0.671042 + 0.490399i
\(331\) 4.25750i 0.234013i −0.993131 0.117007i \(-0.962670\pi\)
0.993131 0.117007i \(-0.0373299\pi\)
\(332\) −1.98317 + 10.9248i −0.108840 + 0.599576i
\(333\) −6.65062 6.65062i −0.364452 0.364452i
\(334\) 3.80239 + 1.99159i 0.208057 + 0.108975i
\(335\) 4.24866 1.44668i 0.232129 0.0790405i
\(336\) 16.9147 45.0544i 0.922775 2.45792i
\(337\) 4.55389 4.55389i 0.248066 0.248066i −0.572110 0.820177i \(-0.693875\pi\)
0.820177 + 0.572110i \(0.193875\pi\)
\(338\) −0.421862 1.34983i −0.0229462 0.0734209i
\(339\) −13.8201 −0.750602
\(340\) 13.0489 + 9.65041i 0.707678 + 0.523367i
\(341\) 7.26423 0.393380
\(342\) −2.23271 7.14400i −0.120731 0.386303i
\(343\) 18.4580 18.4580i 0.996639 0.996639i
\(344\) −0.212198 1.71171i −0.0114409 0.0922894i
\(345\) −20.9849 10.3241i −1.12979 0.555830i
\(346\) −2.48397 1.30104i −0.133539 0.0699445i
\(347\) −20.5579 20.5579i −1.10360 1.10360i −0.993972 0.109633i \(-0.965033\pi\)
−0.109633 0.993972i \(-0.534967\pi\)
\(348\) 14.6213 + 2.65418i 0.783782 + 0.142279i
\(349\) 25.9580i 1.38950i 0.719250 + 0.694751i \(0.244485\pi\)
−0.719250 + 0.694751i \(0.755515\pi\)
\(350\) −5.45178 31.0349i −0.291410 1.65889i
\(351\) 3.48109i 0.185807i
\(352\) −9.98787 0.562258i −0.532355 0.0299685i
\(353\) −2.32243 2.32243i −0.123611 0.123611i 0.642595 0.766206i \(-0.277858\pi\)
−0.766206 + 0.642595i \(0.777858\pi\)
\(354\) −12.4626 + 23.7939i −0.662381 + 1.26463i
\(355\) 22.9034 + 11.2680i 1.21559 + 0.598043i
\(356\) 9.14247 + 13.1979i 0.484550 + 0.699487i
\(357\) 30.8739 30.8739i 1.63402 1.63402i
\(358\) 14.4354 4.51149i 0.762933 0.238439i
\(359\) 16.7930 0.886300 0.443150 0.896448i \(-0.353861\pi\)
0.443150 + 0.896448i \(0.353861\pi\)
\(360\) −24.4095 + 11.8371i −1.28649 + 0.623872i
\(361\) −17.4776 −0.919871
\(362\) −18.0627 + 5.64514i −0.949355 + 0.296702i
\(363\) −15.0298 + 15.0298i −0.788860 + 0.788860i
\(364\) −5.07509 7.32630i −0.266007 0.384002i
\(365\) 16.5074 5.62082i 0.864038 0.294207i
\(366\) −14.6120 + 27.8975i −0.763782 + 1.45823i
\(367\) 4.33130 + 4.33130i 0.226092 + 0.226092i 0.811058 0.584966i \(-0.198892\pi\)
−0.584966 + 0.811058i \(0.698892\pi\)
\(368\) −6.40676 14.1090i −0.333976 0.735481i
\(369\) 49.8710i 2.59618i
\(370\) −4.09131 5.59838i −0.212697 0.291046i
\(371\) 64.3643i 3.34163i
\(372\) 21.8242 + 3.96173i 1.13153 + 0.205406i
\(373\) −15.0638 15.0638i −0.779976 0.779976i 0.199850 0.979826i \(-0.435954\pi\)
−0.979826 + 0.199850i \(0.935954\pi\)
\(374\) −8.03997 4.21113i −0.415737 0.217752i
\(375\) −16.6994 + 25.1456i −0.862353 + 1.29851i
\(376\) −33.9213 + 4.20515i −1.74936 + 0.216864i
\(377\) 1.94597 1.94597i 0.100222 0.100222i
\(378\) 6.54412 + 20.9392i 0.336593 + 1.07699i
\(379\) 7.89852 0.405720 0.202860 0.979208i \(-0.434976\pi\)
0.202860 + 0.979208i \(0.434976\pi\)
\(380\) −0.817052 5.45724i −0.0419139 0.279950i
\(381\) 18.2565 0.935310
\(382\) −9.30972 29.7882i −0.476327 1.52410i
\(383\) 5.61005 5.61005i 0.286660 0.286660i −0.549098 0.835758i \(-0.685029\pi\)
0.835758 + 0.549098i \(0.185029\pi\)
\(384\) −29.7003 7.13635i −1.51564 0.364175i
\(385\) 5.67982 + 16.6807i 0.289471 + 0.850128i
\(386\) 19.6630 + 10.2990i 1.00082 + 0.524204i
\(387\) 1.84959 + 1.84959i 0.0940197 + 0.0940197i
\(388\) 0.607662 3.34747i 0.0308494 0.169942i
\(389\) 1.00399i 0.0509041i −0.999676 0.0254520i \(-0.991897\pi\)
0.999676 0.0254520i \(-0.00810251\pi\)
\(390\) −1.31213 + 8.43634i −0.0664424 + 0.427191i
\(391\) 14.0586i 0.710974i
\(392\) −28.6839 22.3565i −1.44876 1.12918i
\(393\) −11.5725 11.5725i −0.583755 0.583755i
\(394\) −4.02299 + 7.68076i −0.202675 + 0.386951i
\(395\) 6.57290 13.3602i 0.330719 0.672222i
\(396\) 12.4708 8.63882i 0.626683 0.434117i
\(397\) 22.2875 22.2875i 1.11858 1.11858i 0.126630 0.991950i \(-0.459584\pi\)
0.991950 0.126630i \(-0.0404160\pi\)
\(398\) −25.9840 + 8.12079i −1.30246 + 0.407059i
\(399\) −14.8450 −0.743182
\(400\) −19.1230 + 5.85746i −0.956151 + 0.292873i
\(401\) −16.2164 −0.809810 −0.404905 0.914359i \(-0.632695\pi\)
−0.404905 + 0.914359i \(0.632695\pi\)
\(402\) −7.31493 + 2.28614i −0.364836 + 0.114022i
\(403\) 2.90462 2.90462i 0.144690 0.144690i
\(404\) −0.614149 + 0.425434i −0.0305550 + 0.0211661i
\(405\) −3.42477 + 6.96123i −0.170178 + 0.345906i
\(406\) 8.04698 15.3634i 0.399365 0.762475i
\(407\) 2.74192 + 2.74192i 0.135912 + 0.135912i
\(408\) −21.8582 17.0365i −1.08214 0.843431i
\(409\) 26.1902i 1.29502i 0.762056 + 0.647511i \(0.224190\pi\)
−0.762056 + 0.647511i \(0.775810\pi\)
\(410\) −5.65054 + 36.3301i −0.279060 + 1.79421i
\(411\) 47.5732i 2.34661i
\(412\) 0.132740 0.731232i 0.00653962 0.0360252i
\(413\) 22.1666 + 22.1666i 1.09075 + 1.09075i
\(414\) 20.8166 + 10.9032i 1.02308 + 0.535862i
\(415\) −4.00136 11.7513i −0.196419 0.576851i
\(416\) −4.21850 + 3.76886i −0.206829 + 0.184783i
\(417\) −22.4590 + 22.4590i −1.09982 + 1.09982i
\(418\) 0.920505 + 2.94533i 0.0450234 + 0.144061i
\(419\) −34.7358 −1.69696 −0.848478 0.529231i \(-0.822480\pi\)
−0.848478 + 0.529231i \(0.822480\pi\)
\(420\) 7.96688 + 53.2122i 0.388744 + 2.59649i
\(421\) −19.0536 −0.928615 −0.464307 0.885674i \(-0.653697\pi\)
−0.464307 + 0.885674i \(0.653697\pi\)
\(422\) −3.28422 10.5085i −0.159873 0.511546i
\(423\) 36.6535 36.6535i 1.78215 1.78215i
\(424\) 40.5427 5.02600i 1.96893 0.244084i
\(425\) −17.9946 2.33465i −0.872866 0.113247i
\(426\) −38.6101 20.2230i −1.87066 0.979806i
\(427\) 25.9896 + 25.9896i 1.25772 + 1.25772i
\(428\) −3.62415 0.657889i −0.175180 0.0318003i
\(429\) 4.77452i 0.230516i
\(430\) 1.13782 + 1.55695i 0.0548707 + 0.0750828i
\(431\) 26.6616i 1.28425i −0.766602 0.642123i \(-0.778054\pi\)
0.766602 0.642123i \(-0.221946\pi\)
\(432\) 12.6784 5.75717i 0.609992 0.276992i
\(433\) 11.9113 + 11.9113i 0.572419 + 0.572419i 0.932804 0.360384i \(-0.117355\pi\)
−0.360384 + 0.932804i \(0.617355\pi\)
\(434\) 12.0112 22.9320i 0.576557 1.10077i
\(435\) −15.7275 + 5.35525i −0.754076 + 0.256764i
\(436\) −19.2977 27.8577i −0.924190 1.33414i
\(437\) −3.37988 + 3.37988i −0.161682 + 0.161682i
\(438\) −28.4209 + 8.88238i −1.35800 + 0.424417i
\(439\) −28.3991 −1.35542 −0.677708 0.735331i \(-0.737026\pi\)
−0.677708 + 0.735331i \(0.737026\pi\)
\(440\) 10.0636 4.88023i 0.479762 0.232656i
\(441\) 55.1516 2.62627
\(442\) −4.89864 + 1.53097i −0.233004 + 0.0728209i
\(443\) 2.27026 2.27026i 0.107863 0.107863i −0.651115 0.758979i \(-0.725699\pi\)
0.758979 + 0.651115i \(0.225699\pi\)
\(444\) 6.74230 + 9.73305i 0.319975 + 0.461910i
\(445\) −16.1065 7.92407i −0.763523 0.375637i
\(446\) 8.36422 15.9691i 0.396057 0.756159i
\(447\) −14.7711 14.7711i −0.698648 0.698648i
\(448\) −18.2896 + 30.6005i −0.864104 + 1.44574i
\(449\) 22.6117i 1.06711i −0.845764 0.533557i \(-0.820855\pi\)
0.845764 0.533557i \(-0.179145\pi\)
\(450\) 17.4127 24.8340i 0.820841 1.17068i
\(451\) 20.5609i 0.968173i
\(452\) 10.0729 + 1.82852i 0.473790 + 0.0860066i
\(453\) 35.8591 + 35.8591i 1.68481 + 1.68481i
\(454\) 28.2130 + 14.7772i 1.32410 + 0.693531i
\(455\) 8.94092 + 4.39874i 0.419157 + 0.206216i
\(456\) 1.15920 + 9.35081i 0.0542846 + 0.437892i
\(457\) 6.14197 6.14197i 0.287309 0.287309i −0.548706 0.836015i \(-0.684879\pi\)
0.836015 + 0.548706i \(0.184879\pi\)
\(458\) −4.72352 15.1138i −0.220715 0.706221i
\(459\) 12.6332 0.589666
\(460\) 13.9291 + 10.3013i 0.649447 + 0.480302i
\(461\) −28.7359 −1.33836 −0.669181 0.743099i \(-0.733355\pi\)
−0.669181 + 0.743099i \(0.733355\pi\)
\(462\) −8.97563 28.7192i −0.417584 1.33614i
\(463\) −16.3509 + 16.3509i −0.759890 + 0.759890i −0.976302 0.216412i \(-0.930565\pi\)
0.216412 + 0.976302i \(0.430565\pi\)
\(464\) −10.3057 3.86907i −0.478431 0.179617i
\(465\) −23.4754 + 7.99343i −1.08865 + 0.370687i
\(466\) 11.3296 + 5.93414i 0.524832 + 0.274894i
\(467\) 4.30118 + 4.30118i 0.199035 + 0.199035i 0.799586 0.600551i \(-0.205052\pi\)
−0.600551 + 0.799586i \(0.705052\pi\)
\(468\) 1.53224 8.44076i 0.0708279 0.390174i
\(469\) 8.94445i 0.413016i
\(470\) 30.8543 22.5484i 1.42320 1.04008i
\(471\) 15.2224i 0.701410i
\(472\) 12.2317 15.6935i 0.563009 0.722353i
\(473\) −0.762549 0.762549i −0.0350620 0.0350620i
\(474\) −11.7966 + 22.5222i −0.541834 + 1.03448i
\(475\) 3.76487 + 4.88743i 0.172744 + 0.224251i
\(476\) −26.5878 + 18.4179i −1.21865 + 0.844184i
\(477\) −43.8083 + 43.8083i −2.00584 + 2.00584i
\(478\) 9.73315 3.04190i 0.445184 0.139133i
\(479\) −4.08327 −0.186569 −0.0932847 0.995639i \(-0.529737\pi\)
−0.0932847 + 0.995639i \(0.529737\pi\)
\(480\) 32.8960 9.17346i 1.50149 0.418709i
\(481\) 2.19273 0.0999799
\(482\) −16.5277 + 5.16542i −0.752818 + 0.235278i
\(483\) 32.9564 32.9564i 1.49957 1.49957i
\(484\) 12.9432 8.96606i 0.588329 0.407548i
\(485\) 1.22606 + 3.60073i 0.0556724 + 0.163501i
\(486\) 12.9991 24.8181i 0.589652 1.12577i
\(487\) 28.6833 + 28.6833i 1.29976 + 1.29976i 0.928545 + 0.371219i \(0.121060\pi\)
0.371219 + 0.928545i \(0.378940\pi\)
\(488\) 14.3412 18.4001i 0.649198 0.832935i
\(489\) 26.4620i 1.19665i
\(490\) 40.1769 + 6.24885i 1.81501 + 0.282294i
\(491\) 7.08151i 0.319584i 0.987151 + 0.159792i \(0.0510824\pi\)
−0.987151 + 0.159792i \(0.948918\pi\)
\(492\) 11.2134 61.7719i 0.505538 2.78489i
\(493\) −7.06208 7.06208i −0.318060 0.318060i
\(494\) 1.54577 + 0.809633i 0.0695473 + 0.0364271i
\(495\) −7.48754 + 15.2193i −0.336540 + 0.684055i
\(496\) −15.3827 5.77511i −0.690702 0.259310i
\(497\) −35.9695 + 35.9695i −1.61345 + 1.61345i
\(498\) 6.32321 + 20.2323i 0.283350 + 0.906632i
\(499\) 20.2512 0.906566 0.453283 0.891367i \(-0.350253\pi\)
0.453283 + 0.891367i \(0.350253\pi\)
\(500\) 15.4986 16.1181i 0.693117 0.720826i
\(501\) 8.19461 0.366108
\(502\) 1.19732 + 3.83107i 0.0534392 + 0.170989i
\(503\) −6.46560 + 6.46560i −0.288287 + 0.288287i −0.836402 0.548116i \(-0.815345\pi\)
0.548116 + 0.836402i \(0.315345\pi\)
\(504\) −6.65120 53.6526i −0.296268 2.38987i
\(505\) 0.368737 0.749499i 0.0164086 0.0333523i
\(506\) −8.58227 4.49517i −0.381528 0.199835i
\(507\) −1.90910 1.90910i −0.0847863 0.0847863i
\(508\) −13.3065 2.41551i −0.590380 0.107171i
\(509\) 9.49400i 0.420814i 0.977614 + 0.210407i \(0.0674790\pi\)
−0.977614 + 0.210407i \(0.932521\pi\)
\(510\) 30.6162 + 4.76184i 1.35571 + 0.210858i
\(511\) 34.7521i 1.53734i
\(512\) 20.7032 + 9.13105i 0.914962 + 0.403539i
\(513\) −3.03719 3.03719i −0.134095 0.134095i
\(514\) 8.36179 15.9645i 0.368823 0.704163i
\(515\) 0.267824 + 0.786556i 0.0118017 + 0.0346598i
\(516\) −1.87508 2.70683i −0.0825459 0.119162i
\(517\) −15.1115 + 15.1115i −0.664605 + 0.664605i
\(518\) 13.1895 4.12212i 0.579514 0.181116i
\(519\) −5.35327 −0.234982
\(520\) 2.07257 5.97532i 0.0908883 0.262035i
\(521\) −9.55223 −0.418491 −0.209245 0.977863i \(-0.567101\pi\)
−0.209245 + 0.977863i \(0.567101\pi\)
\(522\) 15.9338 4.97981i 0.697405 0.217960i
\(523\) −9.29332 + 9.29332i −0.406368 + 0.406368i −0.880470 0.474102i \(-0.842773\pi\)
0.474102 + 0.880470i \(0.342773\pi\)
\(524\) 6.90360 + 9.96590i 0.301585 + 0.435362i
\(525\) −36.7103 47.6562i −1.60217 2.07989i
\(526\) 0.438637 0.837453i 0.0191255 0.0365147i
\(527\) −10.5411 10.5411i −0.459178 0.459178i
\(528\) −17.3892 + 7.89629i −0.756768 + 0.343642i
\(529\) 7.99314i 0.347528i
\(530\) −36.8771 + 26.9499i −1.60184 + 1.17063i
\(531\) 30.1745i 1.30946i
\(532\) 10.8200 + 1.96414i 0.469106 + 0.0851563i
\(533\) −8.22132 8.22132i −0.356105 0.356105i
\(534\) 27.1520 + 14.2215i 1.17498 + 0.615426i
\(535\) 3.89835 1.32740i 0.168540 0.0573884i
\(536\) 5.63406 0.698443i 0.243354 0.0301681i
\(537\) 20.4164 20.4164i 0.881033 0.881033i
\(538\) −2.75413 8.81236i −0.118739 0.379928i
\(539\) −22.7380 −0.979393
\(540\) −9.25687 + 12.5168i −0.398352 + 0.538638i
\(541\) 28.8757 1.24146 0.620732 0.784023i \(-0.286835\pi\)
0.620732 + 0.784023i \(0.286835\pi\)
\(542\) 9.49093 + 30.3681i 0.407670 + 1.30442i
\(543\) −25.5467 + 25.5467i −1.09631 + 1.09631i
\(544\) 13.6775 + 15.3093i 0.586418 + 0.656380i
\(545\) 33.9972 + 16.7259i 1.45628 + 0.716458i
\(546\) −15.0724 7.89454i −0.645039 0.337855i
\(547\) 17.8016 + 17.8016i 0.761139 + 0.761139i 0.976528 0.215389i \(-0.0691019\pi\)
−0.215389 + 0.976528i \(0.569102\pi\)
\(548\) −6.29439 + 34.6743i −0.268883 + 1.48121i
\(549\) 35.3786i 1.50992i
\(550\) −7.17891 + 10.2386i −0.306110 + 0.436574i
\(551\) 3.39564i 0.144659i
\(552\) −23.3325 18.1856i −0.993098 0.774030i
\(553\) 20.9819 + 20.9819i 0.892242 + 0.892242i
\(554\) 19.5655 37.3547i 0.831257 1.58705i
\(555\) −11.8781 5.84376i −0.504197 0.248054i
\(556\) 19.3411 13.3980i 0.820244 0.568201i
\(557\) 0.213360 0.213360i 0.00904034 0.00904034i −0.702572 0.711613i \(-0.747965\pi\)
0.711613 + 0.702572i \(0.247965\pi\)
\(558\) 23.7834 7.43304i 1.00683 0.314666i
\(559\) −0.609814 −0.0257924
\(560\) 1.23373 39.8384i 0.0521345 1.68348i
\(561\) −17.3271 −0.731552
\(562\) 4.20160 1.31313i 0.177234 0.0553909i
\(563\) −7.49585 + 7.49585i −0.315912 + 0.315912i −0.847195 0.531282i \(-0.821710\pi\)
0.531282 + 0.847195i \(0.321710\pi\)
\(564\) −53.6417 + 37.1588i −2.25872 + 1.56467i
\(565\) −10.8350 + 3.68935i −0.455832 + 0.155212i
\(566\) −1.30904 + 2.49925i −0.0550232 + 0.105051i
\(567\) −10.9325 10.9325i −0.459122 0.459122i
\(568\) 25.4657 + 19.8482i 1.06852 + 0.832814i
\(569\) 22.3444i 0.936725i −0.883536 0.468362i \(-0.844844\pi\)
0.883536 0.468362i \(-0.155156\pi\)
\(570\) −6.21574 8.50537i −0.260349 0.356251i
\(571\) 14.2843i 0.597779i 0.954288 + 0.298889i \(0.0966161\pi\)
−0.954288 + 0.298889i \(0.903384\pi\)
\(572\) −0.631714 + 3.47996i −0.0264133 + 0.145505i
\(573\) −42.1305 42.1305i −1.76003 1.76003i
\(574\) −64.9074 33.9969i −2.70918 1.41900i
\(575\) −19.2084 2.49212i −0.801044 0.103929i
\(576\) −33.2761 + 8.37911i −1.38650 + 0.349130i
\(577\) 2.28756 2.28756i 0.0952324 0.0952324i −0.657886 0.753118i \(-0.728549\pi\)
0.753118 + 0.657886i \(0.228549\pi\)
\(578\) −1.61562 5.16950i −0.0672011 0.215023i
\(579\) 42.3762 1.76109
\(580\) 12.1717 1.82234i 0.505403 0.0756685i
\(581\) 24.7394 1.02636
\(582\) −1.93750 6.19939i −0.0803118 0.256973i
\(583\) 18.0613 18.0613i 0.748024 0.748024i
\(584\) 21.8901 2.71368i 0.905820 0.112293i
\(585\) 3.09155 + 9.07937i 0.127820 + 0.375386i
\(586\) 0.0793661 + 0.0415700i 0.00327858 + 0.00171724i
\(587\) 12.7907 + 12.7907i 0.527928 + 0.527928i 0.919954 0.392026i \(-0.128226\pi\)
−0.392026 + 0.919954i \(0.628226\pi\)
\(588\) −68.3126 12.4007i −2.81716 0.511397i
\(589\) 5.06846i 0.208842i
\(590\) −3.41886 + 21.9815i −0.140752 + 0.904966i
\(591\) 16.5530i 0.680899i
\(592\) −3.62643 7.98612i −0.149045 0.328228i
\(593\) 20.9443 + 20.9443i 0.860077 + 0.860077i 0.991347 0.131269i \(-0.0419053\pi\)
−0.131269 + 0.991347i \(0.541905\pi\)
\(594\) 4.03940 7.71211i 0.165739 0.316432i
\(595\) 15.9634 32.4474i 0.654435 1.33021i
\(596\) 8.81172 + 12.7204i 0.360942 + 0.521049i
\(597\) −36.7500 + 36.7500i −1.50408 + 1.50408i
\(598\) −5.22905 + 1.63424i −0.213832 + 0.0668289i
\(599\) −23.1160 −0.944492 −0.472246 0.881467i \(-0.656557\pi\)
−0.472246 + 0.881467i \(0.656557\pi\)
\(600\) −27.1518 + 26.8450i −1.10847 + 1.09594i
\(601\) 10.3817 0.423477 0.211738 0.977326i \(-0.432088\pi\)
0.211738 + 0.977326i \(0.432088\pi\)
\(602\) −3.66810 + 1.14639i −0.149501 + 0.0467235i
\(603\) −6.08786 + 6.08786i −0.247917 + 0.247917i
\(604\) −21.3918 30.8809i −0.870422 1.25652i
\(605\) −7.77116 + 15.7958i −0.315943 + 0.642189i
\(606\) −0.661783 + 1.26349i −0.0268831 + 0.0513257i
\(607\) 1.83398 + 1.83398i 0.0744389 + 0.0744389i 0.743346 0.668907i \(-0.233238\pi\)
−0.668907 + 0.743346i \(0.733238\pi\)
\(608\) 0.392303 6.96882i 0.0159100 0.282623i
\(609\) 33.1101i 1.34169i
\(610\) −4.00850 + 25.7726i −0.162299 + 1.04350i
\(611\) 12.0848i 0.488898i
\(612\) −30.6322 5.56063i −1.23823 0.224775i
\(613\) 5.33515 + 5.33515i 0.215485 + 0.215485i 0.806593 0.591108i \(-0.201309\pi\)
−0.591108 + 0.806593i \(0.701309\pi\)
\(614\) 0.203570 + 0.106625i 0.00821542 + 0.00430303i
\(615\) 22.6248 + 66.4454i 0.912321 + 2.67934i
\(616\) 2.74216 + 22.1199i 0.110485 + 0.891237i
\(617\) 18.8364 18.8364i 0.758323 0.758323i −0.217694 0.976017i \(-0.569853\pi\)
0.976017 + 0.217694i \(0.0698534\pi\)
\(618\) −0.423233 1.35422i −0.0170249 0.0544745i
\(619\) −9.61444 −0.386437 −0.193219 0.981156i \(-0.561893\pi\)
−0.193219 + 0.981156i \(0.561893\pi\)
\(620\) 18.1679 2.72009i 0.729642 0.109241i
\(621\) 13.4853 0.541146
\(622\) 8.90509 + 28.4935i 0.357061 + 1.14249i
\(623\) 25.2951 25.2951i 1.01343 1.01343i
\(624\) −3.79577 + 10.1105i −0.151952 + 0.404743i
\(625\) −6.37968 + 24.1723i −0.255187 + 0.966892i
\(626\) 5.90541 + 3.09310i 0.236028 + 0.123625i
\(627\) 4.16568 + 4.16568i 0.166361 + 0.166361i
\(628\) 2.01407 11.0950i 0.0803700 0.442739i
\(629\) 7.95761i 0.317291i
\(630\) 35.6643 + 48.8016i 1.42090 + 1.94430i
\(631\) 40.8443i 1.62599i −0.582274 0.812993i \(-0.697837\pi\)
0.582274 0.812993i \(-0.302163\pi\)
\(632\) 11.5780 14.8548i 0.460547 0.590892i
\(633\) −14.8625 14.8625i −0.590731 0.590731i
\(634\) −13.6387 + 26.0392i −0.541661 + 1.03415i
\(635\) 14.3132 4.87369i 0.568004 0.193407i
\(636\) 64.1126 44.4122i 2.54223 1.76106i
\(637\) −9.09184 + 9.09184i −0.360232 + 0.360232i
\(638\) −6.56922 + 2.05308i −0.260078 + 0.0812822i
\(639\) −48.9638 −1.93698
\(640\) −25.1903 + 2.33374i −0.995736 + 0.0922491i
\(641\) 18.6486 0.736574 0.368287 0.929712i \(-0.379944\pi\)
0.368287 + 0.929712i \(0.379944\pi\)
\(642\) −6.71180 + 2.09764i −0.264894 + 0.0827873i
\(643\) 16.1537 16.1537i 0.637040 0.637040i −0.312784 0.949824i \(-0.601262\pi\)
0.949824 + 0.312784i \(0.101262\pi\)
\(644\) −28.3811 + 19.6602i −1.11837 + 0.774721i
\(645\) 3.30338 + 1.62519i 0.130071 + 0.0639919i
\(646\) 2.93823 5.60972i 0.115603 0.220711i
\(647\) −2.84849 2.84849i −0.111986 0.111986i 0.648893 0.760879i \(-0.275232\pi\)
−0.760879 + 0.648893i \(0.775232\pi\)
\(648\) −6.03264 + 7.74001i −0.236985 + 0.304056i
\(649\) 12.4404i 0.488327i
\(650\) 1.22341 + 6.96443i 0.0479862 + 0.273167i
\(651\) 49.4214i 1.93698i
\(652\) −3.50118 + 19.2872i −0.137117 + 0.755343i
\(653\) 21.9792 + 21.9792i 0.860113 + 0.860113i 0.991351 0.131238i \(-0.0418953\pi\)
−0.131238 + 0.991351i \(0.541895\pi\)
\(654\) −57.3117 30.0184i −2.24106 1.17381i
\(655\) −12.1623 5.98356i −0.475219 0.233797i
\(656\) −16.3460 + 43.5395i −0.638205 + 1.69993i
\(657\) −23.6533 + 23.6533i −0.922803 + 0.922803i
\(658\) 22.7182 + 72.6913i 0.885649 + 2.83380i
\(659\) 42.7307 1.66455 0.832275 0.554363i \(-0.187038\pi\)
0.832275 + 0.554363i \(0.187038\pi\)
\(660\) 12.6963 17.1675i 0.494204 0.668244i
\(661\) 16.6982 0.649483 0.324742 0.945803i \(-0.394723\pi\)
0.324742 + 0.945803i \(0.394723\pi\)
\(662\) 1.79608 + 5.74689i 0.0698064 + 0.223359i
\(663\) −6.92830 + 6.92830i −0.269073 + 0.269073i
\(664\) −1.93182 15.5832i −0.0749691 0.604745i
\(665\) −11.6386 + 3.96297i −0.451326 + 0.153678i
\(666\) 11.7828 + 6.17154i 0.456575 + 0.239142i
\(667\) −7.53843 7.53843i −0.291889 0.291889i
\(668\) −5.97274 1.08423i −0.231092 0.0419500i
\(669\) 34.4154i 1.33058i
\(670\) −5.12466 + 3.74511i −0.197983 + 0.144686i
\(671\) 14.5859i 0.563083i
\(672\) −3.82526 + 67.9513i −0.147563 + 2.62128i
\(673\) −5.23052 5.23052i −0.201622 0.201622i 0.599073 0.800695i \(-0.295536\pi\)
−0.800695 + 0.599073i \(0.795536\pi\)
\(674\) −4.22585 + 8.06808i −0.162774 + 0.310771i
\(675\) 2.23944 17.2608i 0.0861961 0.664368i
\(676\) 1.13888 + 1.64407i 0.0438031 + 0.0632333i
\(677\) −8.44260 + 8.44260i −0.324475 + 0.324475i −0.850481 0.526006i \(-0.823689\pi\)
0.526006 + 0.850481i \(0.323689\pi\)
\(678\) 18.6547 5.83015i 0.716429 0.223906i
\(679\) −7.58040 −0.290909
\(680\) −21.6849 7.52154i −0.831579 0.288438i
\(681\) 60.8025 2.32996
\(682\) −9.80545 + 3.06450i −0.375470 + 0.117346i
\(683\) −9.22992 + 9.22992i −0.353173 + 0.353173i −0.861289 0.508116i \(-0.830342\pi\)
0.508116 + 0.861289i \(0.330342\pi\)
\(684\) 6.02755 + 8.70126i 0.230469 + 0.332701i
\(685\) −12.7000 37.2977i −0.485241 1.42507i
\(686\) −17.1284 + 32.7018i −0.653965 + 1.24856i
\(687\) −21.3759 21.3759i −0.815542 0.815542i
\(688\) 1.00854 + 2.22100i 0.0384501 + 0.0846748i
\(689\) 14.4437i 0.550263i
\(690\) 32.6813 + 5.08303i 1.24415 + 0.193508i
\(691\) 11.7811i 0.448175i −0.974569 0.224088i \(-0.928060\pi\)
0.974569 0.224088i \(-0.0719402\pi\)
\(692\) 3.90180 + 0.708289i 0.148324 + 0.0269251i
\(693\) −23.9016 23.9016i −0.907947 0.907947i
\(694\) 36.4222 + 19.0770i 1.38257 + 0.724153i
\(695\) −11.6125 + 23.6036i −0.440485 + 0.895336i
\(696\) −20.8559 + 2.58546i −0.790540 + 0.0980017i
\(697\) −29.8359 + 29.8359i −1.13011 + 1.13011i
\(698\) −10.9507 35.0389i −0.414490 1.32624i
\(699\) 24.4166 0.923521
\(700\) 20.4514 + 39.5919i 0.772991 + 1.49643i
\(701\) −40.8964 −1.54464 −0.772318 0.635236i \(-0.780903\pi\)
−0.772318 + 0.635236i \(0.780903\pi\)
\(702\) −1.46854 4.69887i −0.0554265 0.177348i
\(703\) −1.91312 + 1.91312i −0.0721546 + 0.0721546i
\(704\) 13.7191 3.45455i 0.517058 0.130198i
\(705\) 32.2067 65.4636i 1.21297 2.46550i
\(706\) 4.11462 + 2.15514i 0.154856 + 0.0811096i
\(707\) 1.17708 + 1.17708i 0.0442685 + 0.0442685i
\(708\) 6.78467 37.3751i 0.254983 1.40464i
\(709\) 10.0408i 0.377091i 0.982064 + 0.188546i \(0.0603774\pi\)
−0.982064 + 0.188546i \(0.939623\pi\)
\(710\) −35.6692 5.54775i −1.33864 0.208203i
\(711\) 28.5618i 1.07115i
\(712\) −17.9084 13.9580i −0.671147 0.523099i
\(713\) −11.2521 11.2521i −0.421395 0.421395i
\(714\) −28.6499 + 54.6990i −1.07220 + 2.04706i
\(715\) −1.27459 3.74325i −0.0476668 0.139990i
\(716\) −17.5820 + 12.1795i −0.657071 + 0.455168i
\(717\) 13.7659 13.7659i 0.514097 0.514097i
\(718\) −22.6676 + 7.08431i −0.845948 + 0.264384i
\(719\) −27.5425 −1.02716 −0.513581 0.858041i \(-0.671681\pi\)
−0.513581 + 0.858041i \(0.671681\pi\)
\(720\) 27.9550 26.2755i 1.04182 0.979231i
\(721\) −1.65589 −0.0616685
\(722\) 23.5917 7.37311i 0.877991 0.274399i
\(723\) −23.3757 + 23.3757i −0.869352 + 0.869352i
\(724\) 22.0001 15.2399i 0.817626 0.566387i
\(725\) −10.9008 + 8.39710i −0.404847 + 0.311860i
\(726\) 13.9471 26.6281i 0.517626 0.988262i
\(727\) −21.2619 21.2619i −0.788560 0.788560i 0.192698 0.981258i \(-0.438276\pi\)
−0.981258 + 0.192698i \(0.938276\pi\)
\(728\) 9.94118 + 7.74825i 0.368444 + 0.287169i
\(729\) 43.0776i 1.59547i
\(730\) −19.9110 + 14.5510i −0.736938 + 0.538556i
\(731\) 2.21307i 0.0818533i
\(732\) 7.95479 43.8211i 0.294018 1.61967i
\(733\) −14.1192 14.1192i −0.521503 0.521503i 0.396522 0.918025i \(-0.370217\pi\)
−0.918025 + 0.396522i \(0.870217\pi\)
\(734\) −7.67372 4.01930i −0.283242 0.148355i
\(735\) 73.4810 25.0205i 2.71039 0.922894i
\(736\) 14.6001 + 16.3419i 0.538165 + 0.602371i
\(737\) 2.50991 2.50991i 0.0924537 0.0924537i
\(738\) −21.0387 67.3172i −0.774444 2.47798i
\(739\) −1.11147 −0.0408861 −0.0204430 0.999791i \(-0.506508\pi\)
−0.0204430 + 0.999791i \(0.506508\pi\)
\(740\) 7.88430 + 5.83088i 0.289833 + 0.214347i
\(741\) 3.33132 0.122379
\(742\) −27.1528 86.8807i −0.996812 3.18949i
\(743\) 32.4947 32.4947i 1.19211 1.19211i 0.215642 0.976472i \(-0.430816\pi\)
0.976472 0.215642i \(-0.0691844\pi\)
\(744\) −31.1302 + 3.85915i −1.14129 + 0.141483i
\(745\) −15.5238 7.63739i −0.568750 0.279812i
\(746\) 26.6884 + 13.9787i 0.977133 + 0.511798i
\(747\) 16.8384 + 16.8384i 0.616084 + 0.616084i
\(748\) 12.6291 + 2.29254i 0.461765 + 0.0838237i
\(749\) 8.20696i 0.299876i
\(750\) 11.9334 40.9870i 0.435745 1.49663i
\(751\) 22.7914i 0.831668i −0.909440 0.415834i \(-0.863490\pi\)
0.909440 0.415834i \(-0.136510\pi\)
\(752\) 44.0138 19.9863i 1.60502 0.728826i
\(753\) 5.41840 + 5.41840i 0.197458 + 0.197458i
\(754\) −1.80579 + 3.44765i −0.0657630 + 0.125556i
\(755\) 37.6866 + 18.5410i 1.37156 + 0.674775i
\(756\) −17.6669 25.5035i −0.642537 0.927554i
\(757\) 20.7548 20.7548i 0.754344 0.754344i −0.220943 0.975287i \(-0.570913\pi\)
0.975287 + 0.220943i \(0.0709133\pi\)
\(758\) −10.6616 + 3.33208i −0.387248 + 0.121027i
\(759\) −18.4958 −0.671357
\(760\) 3.40508 + 7.02164i 0.123515 + 0.254702i
\(761\) 40.7964 1.47887 0.739433 0.673230i \(-0.235093\pi\)
0.739433 + 0.673230i \(0.235093\pi\)
\(762\) −24.6432 + 7.70173i −0.892727 + 0.279004i
\(763\) −53.3921 + 53.3921i −1.93292 + 1.93292i
\(764\) 25.1330 + 36.2816i 0.909281 + 1.31262i
\(765\) 32.9498 11.2195i 1.19130 0.405641i
\(766\) −5.20593 + 9.93926i −0.188098 + 0.359120i
\(767\) −4.97432 4.97432i −0.179612 0.179612i
\(768\) 43.1009 2.89659i 1.55527 0.104522i
\(769\) 9.81657i 0.353994i −0.984211 0.176997i \(-0.943362\pi\)
0.984211 0.176997i \(-0.0566384\pi\)
\(770\) −14.7037 20.1200i −0.529886 0.725074i
\(771\) 34.4054i 1.23908i
\(772\) −30.8864 5.60677i −1.11163 0.201792i
\(773\) 32.9413 + 32.9413i 1.18481 + 1.18481i 0.978482 + 0.206333i \(0.0661530\pi\)
0.206333 + 0.978482i \(0.433847\pi\)
\(774\) −3.27689 1.71635i −0.117785 0.0616930i
\(775\) −16.2710 + 12.5338i −0.584471 + 0.450228i