Properties

Label 192.2.s.a.107.23
Level $192$
Weight $2$
Character 192.107
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 107.23
Character \(\chi\) \(=\) 192.107
Dual form 192.2.s.a.131.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.970489 - 1.02866i) q^{2} +(0.440430 - 1.67512i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(-0.178911 - 0.267760i) q^{5} +(-1.29570 - 2.07874i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(-2.16672 - 1.81806i) q^{8} +(-2.61204 - 1.47555i) q^{9} +O(q^{10})\) \(q+(0.970489 - 1.02866i) q^{2} +(0.440430 - 1.67512i) q^{3} +(-0.116302 - 1.99662i) q^{4} +(-0.178911 - 0.267760i) q^{5} +(-1.29570 - 2.07874i) q^{6} +(-0.862708 + 2.08276i) q^{7} +(-2.16672 - 1.81806i) q^{8} +(-2.61204 - 1.47555i) q^{9} +(-0.449066 - 0.0758180i) q^{10} +(1.97179 + 0.392214i) q^{11} +(-3.39579 - 0.684550i) q^{12} +(5.61756 + 3.75354i) q^{13} +(1.30521 + 2.90873i) q^{14} +(-0.527327 + 0.181768i) q^{15} +(-3.97295 + 0.464422i) q^{16} +(1.92631 + 1.92631i) q^{17} +(-4.05280 + 1.25492i) q^{18} +(-3.54040 - 2.36562i) q^{19} +(-0.513805 + 0.388358i) q^{20} +(3.10891 + 2.36245i) q^{21} +(2.31706 - 1.64768i) q^{22} +(-2.19377 - 5.29622i) q^{23} +(-3.99975 + 2.82878i) q^{24} +(1.87373 - 4.52359i) q^{25} +(9.31291 - 2.13582i) q^{26} +(-3.62213 + 3.72561i) q^{27} +(4.25881 + 1.48027i) q^{28} +(1.06153 + 5.33669i) q^{29} +(-0.324786 + 0.718846i) q^{30} +4.81722 q^{31} +(-3.37797 + 4.53755i) q^{32} +(1.52544 - 3.13025i) q^{33} +(3.85098 - 0.112064i) q^{34} +(0.712027 - 0.141631i) q^{35} +(-2.64231 + 5.38685i) q^{36} +(1.42685 + 2.13544i) q^{37} +(-5.86935 + 1.34608i) q^{38} +(8.76176 - 7.75691i) q^{39} +(-0.0991520 + 0.905430i) q^{40} +(-7.50562 + 3.10893i) q^{41} +(5.44733 - 0.905295i) q^{42} +(0.371486 + 0.0738932i) q^{43} +(0.553777 - 3.98253i) q^{44} +(0.0722324 + 0.963391i) q^{45} +(-7.57706 - 2.88327i) q^{46} +(-4.36387 + 4.36387i) q^{47} +(-0.971844 + 6.85970i) q^{48} +(1.35612 + 1.35612i) q^{49} +(-2.83482 - 6.31753i) q^{50} +(4.07520 - 2.37839i) q^{51} +(6.84103 - 11.6527i) q^{52} +(-1.66580 + 8.37454i) q^{53} +(0.317157 + 7.34162i) q^{54} +(-0.247757 - 0.598138i) q^{55} +(5.65583 - 2.94430i) q^{56} +(-5.52199 + 4.88870i) q^{57} +(6.51987 + 4.08723i) q^{58} +(-2.84793 + 1.90292i) q^{59} +(0.424250 + 1.03173i) q^{60} +(-0.814645 - 4.09550i) q^{61} +(4.67506 - 4.95531i) q^{62} +(5.32664 - 4.16730i) q^{63} +(1.38934 + 7.87844i) q^{64} -2.17571i q^{65} +(-1.73955 - 4.60704i) q^{66} +(-9.80554 + 1.95044i) q^{67} +(3.62206 - 4.07013i) q^{68} +(-9.83799 + 1.34220i) q^{69} +(0.545324 - 0.869889i) q^{70} +(-4.67113 - 1.93485i) q^{71} +(2.97693 + 7.94593i) q^{72} +(3.32953 - 1.37914i) q^{73} +(3.58140 + 0.604665i) q^{74} +(-6.75230 - 5.13105i) q^{75} +(-4.31148 + 7.34394i) q^{76} +(-2.51797 + 3.76841i) q^{77} +(0.523929 - 16.5409i) q^{78} +(-0.888047 + 0.888047i) q^{79} +(0.835158 + 0.980704i) q^{80} +(4.64553 + 7.70837i) q^{81} +(-4.08608 + 10.7379i) q^{82} +(7.24954 - 10.8497i) q^{83} +(4.35533 - 6.48206i) q^{84} +(0.171149 - 0.860425i) q^{85} +(0.436534 - 0.310422i) q^{86} +(9.40711 + 0.572244i) q^{87} +(-3.55926 - 4.43465i) q^{88} +(-6.70406 - 2.77691i) q^{89} +(1.06111 + 0.860657i) q^{90} +(-12.6640 + 8.46184i) q^{91} +(-10.3194 + 4.99607i) q^{92} +(2.12165 - 8.06942i) q^{93} +(0.253872 + 8.72405i) q^{94} +1.37121i q^{95} +(6.11317 + 7.65697i) q^{96} -17.3353i q^{97} +(2.71109 - 0.0788931i) q^{98} +(-4.57168 - 3.93395i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.970489 1.02866i 0.686239 0.727376i
\(3\) 0.440430 1.67512i 0.254282 0.967130i
\(4\) −0.116302 1.99662i −0.0581512 0.998308i
\(5\) −0.178911 0.267760i −0.0800115 0.119746i 0.789305 0.614001i \(-0.210441\pi\)
−0.869317 + 0.494255i \(0.835441\pi\)
\(6\) −1.29570 2.07874i −0.528968 0.848642i
\(7\) −0.862708 + 2.08276i −0.326073 + 0.787210i 0.672803 + 0.739821i \(0.265090\pi\)
−0.998877 + 0.0473887i \(0.984910\pi\)
\(8\) −2.16672 1.81806i −0.766051 0.642780i
\(9\) −2.61204 1.47555i −0.870681 0.491848i
\(10\) −0.449066 0.0758180i −0.142007 0.0239758i
\(11\) 1.97179 + 0.392214i 0.594519 + 0.118257i 0.483173 0.875525i \(-0.339484\pi\)
0.111345 + 0.993782i \(0.464484\pi\)
\(12\) −3.39579 0.684550i −0.980280 0.197612i
\(13\) 5.61756 + 3.75354i 1.55803 + 1.04104i 0.973220 + 0.229874i \(0.0738315\pi\)
0.584812 + 0.811169i \(0.301168\pi\)
\(14\) 1.30521 + 2.90873i 0.348833 + 0.777392i
\(15\) −0.527327 + 0.181768i −0.136155 + 0.0469323i
\(16\) −3.97295 + 0.464422i −0.993237 + 0.116106i
\(17\) 1.92631 + 1.92631i 0.467198 + 0.467198i 0.901006 0.433808i \(-0.142830\pi\)
−0.433808 + 0.901006i \(0.642830\pi\)
\(18\) −4.05280 + 1.25492i −0.955254 + 0.295786i
\(19\) −3.54040 2.36562i −0.812223 0.542710i 0.0786817 0.996900i \(-0.474929\pi\)
−0.890905 + 0.454189i \(0.849929\pi\)
\(20\) −0.513805 + 0.388358i −0.114890 + 0.0868395i
\(21\) 3.10891 + 2.36245i 0.678420 + 0.515529i
\(22\) 2.31706 1.64768i 0.493999 0.351286i
\(23\) −2.19377 5.29622i −0.457432 1.10434i −0.969434 0.245354i \(-0.921096\pi\)
0.512002 0.858984i \(-0.328904\pi\)
\(24\) −3.99975 + 2.82878i −0.816445 + 0.577423i
\(25\) 1.87373 4.52359i 0.374746 0.904717i
\(26\) 9.31291 2.13582i 1.82641 0.418870i
\(27\) −3.62213 + 3.72561i −0.697080 + 0.716993i
\(28\) 4.25881 + 1.48027i 0.804839 + 0.279744i
\(29\) 1.06153 + 5.33669i 0.197122 + 0.990998i 0.944977 + 0.327136i \(0.106084\pi\)
−0.747856 + 0.663862i \(0.768916\pi\)
\(30\) −0.324786 + 0.718846i −0.0592976 + 0.131243i
\(31\) 4.81722 0.865199 0.432599 0.901586i \(-0.357596\pi\)
0.432599 + 0.901586i \(0.357596\pi\)
\(32\) −3.37797 + 4.53755i −0.597146 + 0.802133i
\(33\) 1.52544 3.13025i 0.265546 0.544906i
\(34\) 3.85098 0.112064i 0.660438 0.0192189i
\(35\) 0.712027 0.141631i 0.120355 0.0239400i
\(36\) −2.64231 + 5.38685i −0.440385 + 0.897809i
\(37\) 1.42685 + 2.13544i 0.234573 + 0.351064i 0.930017 0.367517i \(-0.119792\pi\)
−0.695443 + 0.718581i \(0.744792\pi\)
\(38\) −5.86935 + 1.34608i −0.952134 + 0.218363i
\(39\) 8.76176 7.75691i 1.40300 1.24210i
\(40\) −0.0991520 + 0.905430i −0.0156773 + 0.143161i
\(41\) −7.50562 + 3.10893i −1.17218 + 0.485533i −0.881913 0.471412i \(-0.843744\pi\)
−0.290268 + 0.956945i \(0.593744\pi\)
\(42\) 5.44733 0.905295i 0.840541 0.139690i
\(43\) 0.371486 + 0.0738932i 0.0566511 + 0.0112686i 0.223334 0.974742i \(-0.428306\pi\)
−0.166683 + 0.986010i \(0.553306\pi\)
\(44\) 0.553777 3.98253i 0.0834850 0.600389i
\(45\) 0.0722324 + 0.963391i 0.0107678 + 0.143614i
\(46\) −7.57706 2.88327i −1.11718 0.425115i
\(47\) −4.36387 + 4.36387i −0.636536 + 0.636536i −0.949699 0.313163i \(-0.898611\pi\)
0.313163 + 0.949699i \(0.398611\pi\)
\(48\) −0.971844 + 6.85970i −0.140274 + 0.990113i
\(49\) 1.35612 + 1.35612i 0.193731 + 0.193731i
\(50\) −2.83482 6.31753i −0.400904 0.893434i
\(51\) 4.07520 2.37839i 0.570641 0.333041i
\(52\) 6.84103 11.6527i 0.948681 1.61593i
\(53\) −1.66580 + 8.37454i −0.228815 + 1.15033i 0.680025 + 0.733189i \(0.261969\pi\)
−0.908841 + 0.417144i \(0.863031\pi\)
\(54\) 0.317157 + 7.34162i 0.0431596 + 0.999068i
\(55\) −0.247757 0.598138i −0.0334076 0.0806530i
\(56\) 5.65583 2.94430i 0.755791 0.393449i
\(57\) −5.52199 + 4.88870i −0.731406 + 0.647524i
\(58\) 6.51987 + 4.08723i 0.856100 + 0.536680i
\(59\) −2.84793 + 1.90292i −0.370768 + 0.247739i −0.726969 0.686670i \(-0.759072\pi\)
0.356201 + 0.934409i \(0.384072\pi\)
\(60\) 0.424250 + 1.03173i 0.0547705 + 0.133196i
\(61\) −0.814645 4.09550i −0.104305 0.524375i −0.997244 0.0741971i \(-0.976361\pi\)
0.892939 0.450178i \(-0.148639\pi\)
\(62\) 4.67506 4.95531i 0.593734 0.629325i
\(63\) 5.32664 4.16730i 0.671093 0.525030i
\(64\) 1.38934 + 7.87844i 0.173667 + 0.984804i
\(65\) 2.17571i 0.269863i
\(66\) −1.73955 4.60704i −0.214124 0.567087i
\(67\) −9.80554 + 1.95044i −1.19794 + 0.238285i −0.753453 0.657502i \(-0.771613\pi\)
−0.444485 + 0.895786i \(0.646613\pi\)
\(68\) 3.62206 4.07013i 0.439239 0.493576i
\(69\) −9.83799 + 1.34220i −1.18436 + 0.161582i
\(70\) 0.545324 0.869889i 0.0651787 0.103972i
\(71\) −4.67113 1.93485i −0.554361 0.229624i 0.0878740 0.996132i \(-0.471993\pi\)
−0.642235 + 0.766508i \(0.721993\pi\)
\(72\) 2.97693 + 7.94593i 0.350835 + 0.936437i
\(73\) 3.32953 1.37914i 0.389692 0.161416i −0.179230 0.983807i \(-0.557361\pi\)
0.568922 + 0.822392i \(0.307361\pi\)
\(74\) 3.58140 + 0.604665i 0.416329 + 0.0702908i
\(75\) −6.75230 5.13105i −0.779688 0.592482i
\(76\) −4.31148 + 7.34394i −0.494560 + 0.842408i
\(77\) −2.51797 + 3.76841i −0.286950 + 0.429450i
\(78\) 0.523929 16.5409i 0.0593233 1.87289i
\(79\) −0.888047 + 0.888047i −0.0999131 + 0.0999131i −0.755296 0.655383i \(-0.772507\pi\)
0.655383 + 0.755296i \(0.272507\pi\)
\(80\) 0.835158 + 0.980704i 0.0933735 + 0.109646i
\(81\) 4.64553 + 7.70837i 0.516170 + 0.856486i
\(82\) −4.08608 + 10.7379i −0.451232 + 1.18581i
\(83\) 7.24954 10.8497i 0.795740 1.19091i −0.182453 0.983215i \(-0.558404\pi\)
0.978194 0.207695i \(-0.0665962\pi\)
\(84\) 4.35533 6.48206i 0.475205 0.707250i
\(85\) 0.171149 0.860425i 0.0185637 0.0933262i
\(86\) 0.436534 0.310422i 0.0470727 0.0334737i
\(87\) 9.40711 + 0.572244i 1.00855 + 0.0613510i
\(88\) −3.55926 4.43465i −0.379418 0.472736i
\(89\) −6.70406 2.77691i −0.710629 0.294352i −0.00206424 0.999998i \(-0.500657\pi\)
−0.708565 + 0.705646i \(0.750657\pi\)
\(90\) 1.06111 + 0.860657i 0.111850 + 0.0907212i
\(91\) −12.6640 + 8.46184i −1.32755 + 0.887042i
\(92\) −10.3194 + 4.99607i −1.07587 + 0.520876i
\(93\) 2.12165 8.06942i 0.220005 0.836760i
\(94\) 0.253872 + 8.72405i 0.0261849 + 0.899817i
\(95\) 1.37121i 0.140683i
\(96\) 6.11317 + 7.65697i 0.623923 + 0.781486i
\(97\) 17.3353i 1.76014i −0.474846 0.880069i \(-0.657496\pi\)
0.474846 0.880069i \(-0.342504\pi\)
\(98\) 2.71109 0.0788931i 0.273861 0.00796941i
\(99\) −4.57168 3.93395i −0.459471 0.395377i
\(100\) −9.24978 3.21502i −0.924978 0.321502i
\(101\) 14.5595 9.72838i 1.44873 0.968010i 0.451605 0.892218i \(-0.350852\pi\)
0.997124 0.0757916i \(-0.0241484\pi\)
\(102\) 1.50837 6.50021i 0.149351 0.643617i
\(103\) −5.41974 2.24493i −0.534023 0.221199i 0.0993414 0.995053i \(-0.468326\pi\)
−0.633364 + 0.773854i \(0.718326\pi\)
\(104\) −5.34753 18.3459i −0.524369 1.79896i
\(105\) 0.0763496 1.25511i 0.00745095 0.122486i
\(106\) 6.99796 + 9.84095i 0.679702 + 0.955838i
\(107\) −2.08611 + 10.4876i −0.201672 + 1.01387i 0.738780 + 0.673947i \(0.235402\pi\)
−0.940452 + 0.339927i \(0.889598\pi\)
\(108\) 7.85987 + 6.79871i 0.756316 + 0.654207i
\(109\) −9.25906 + 13.8572i −0.886857 + 1.32728i 0.0574972 + 0.998346i \(0.481688\pi\)
−0.944354 + 0.328930i \(0.893312\pi\)
\(110\) −0.855729 0.325628i −0.0815906 0.0310474i
\(111\) 4.20554 1.44964i 0.399172 0.137594i
\(112\) 2.46021 8.67536i 0.232468 0.819745i
\(113\) 0.393187 0.393187i 0.0369879 0.0369879i −0.688371 0.725359i \(-0.741674\pi\)
0.725359 + 0.688371i \(0.241674\pi\)
\(114\) −0.330200 + 10.4247i −0.0309261 + 0.976363i
\(115\) −1.02562 + 1.53495i −0.0956399 + 0.143135i
\(116\) 10.5319 2.74014i 0.977858 0.254416i
\(117\) −9.13480 18.0934i −0.844513 1.67273i
\(118\) −0.806411 + 4.77633i −0.0742361 + 0.439696i
\(119\) −5.67388 + 2.35020i −0.520124 + 0.215442i
\(120\) 1.47303 + 0.564870i 0.134469 + 0.0515654i
\(121\) −6.42853 2.66279i −0.584412 0.242071i
\(122\) −5.00350 3.13664i −0.452996 0.283978i
\(123\) 1.90212 + 13.9421i 0.171509 + 1.25711i
\(124\) −0.560254 9.61814i −0.0503123 0.863735i
\(125\) −3.12568 + 0.621737i −0.279570 + 0.0556099i
\(126\) 0.882693 9.52364i 0.0786365 0.848433i
\(127\) 12.6212i 1.11995i −0.828510 0.559974i \(-0.810811\pi\)
0.828510 0.559974i \(-0.189189\pi\)
\(128\) 9.45260 + 6.21677i 0.835500 + 0.549490i
\(129\) 0.287393 0.589738i 0.0253036 0.0519236i
\(130\) −2.23807 2.11150i −0.196292 0.185191i
\(131\) 3.14031 + 15.7874i 0.274370 + 1.37935i 0.834528 + 0.550966i \(0.185741\pi\)
−0.560157 + 0.828386i \(0.689259\pi\)
\(132\) −6.42731 2.68167i −0.559426 0.233409i
\(133\) 7.98135 5.33297i 0.692071 0.462427i
\(134\) −7.50982 + 11.9795i −0.648750 + 1.03487i
\(135\) 1.64561 + 0.303309i 0.141631 + 0.0261046i
\(136\) −0.671628 7.67590i −0.0575916 0.658203i
\(137\) −8.21251 19.8268i −0.701642 1.69391i −0.719896 0.694081i \(-0.755811\pi\)
0.0182540 0.999833i \(-0.494189\pi\)
\(138\) −8.16699 + 11.4226i −0.695220 + 0.972355i
\(139\) 2.30488 11.5874i 0.195497 0.982832i −0.751045 0.660251i \(-0.770450\pi\)
0.946542 0.322580i \(-0.104550\pi\)
\(140\) −0.365593 1.40517i −0.0308983 0.118759i
\(141\) 5.38802 + 9.23198i 0.453753 + 0.777473i
\(142\) −6.52359 + 2.92728i −0.547447 + 0.245652i
\(143\) 9.60449 + 9.60449i 0.803168 + 0.803168i
\(144\) 11.0628 + 4.64917i 0.921899 + 0.387431i
\(145\) 1.23903 1.23903i 0.102896 0.102896i
\(146\) 1.81260 4.76340i 0.150012 0.394222i
\(147\) 2.86893 1.67438i 0.236625 0.138101i
\(148\) 4.09770 3.09724i 0.336829 0.254591i
\(149\) 1.69292 + 0.336742i 0.138689 + 0.0275870i 0.263947 0.964537i \(-0.414976\pi\)
−0.125258 + 0.992124i \(0.539976\pi\)
\(150\) −11.8312 + 1.96623i −0.966010 + 0.160542i
\(151\) −5.77056 + 2.39024i −0.469601 + 0.194515i −0.604919 0.796287i \(-0.706794\pi\)
0.135318 + 0.990802i \(0.456794\pi\)
\(152\) 3.37022 + 11.5623i 0.273361 + 0.937825i
\(153\) −2.18924 7.87395i −0.176990 0.636571i
\(154\) 1.43277 + 6.24735i 0.115456 + 0.503426i
\(155\) −0.861855 1.28986i −0.0692259 0.103604i
\(156\) −16.5066 16.5917i −1.32158 1.32840i
\(157\) 2.47728 0.492762i 0.197709 0.0393267i −0.0952425 0.995454i \(-0.530363\pi\)
0.292951 + 0.956127i \(0.405363\pi\)
\(158\) 0.0516628 + 1.77534i 0.00411007 + 0.141239i
\(159\) 13.2947 + 6.47882i 1.05434 + 0.513803i
\(160\) 1.81933 + 0.0926648i 0.143830 + 0.00732580i
\(161\) 12.9233 1.01850
\(162\) 12.4378 + 2.70220i 0.977204 + 0.212305i
\(163\) −0.386632 1.94373i −0.0302833 0.152245i 0.962685 0.270624i \(-0.0872300\pi\)
−0.992968 + 0.118380i \(0.962230\pi\)
\(164\) 7.08026 + 14.6243i 0.552875 + 1.14196i
\(165\) −1.11107 + 0.151584i −0.0864969 + 0.0118008i
\(166\) −4.12511 17.9869i −0.320171 1.39605i
\(167\) 3.26287 7.87727i 0.252489 0.609562i −0.745915 0.666041i \(-0.767988\pi\)
0.998404 + 0.0564794i \(0.0179875\pi\)
\(168\) −2.44106 10.7709i −0.188332 0.830996i
\(169\) 12.4931 + 30.1610i 0.961008 + 2.32008i
\(170\) −0.718990 1.01109i −0.0551440 0.0775469i
\(171\) 5.75710 + 11.4031i 0.440256 + 0.872018i
\(172\) 0.104332 0.750309i 0.00795521 0.0572105i
\(173\) 7.61120 + 5.08564i 0.578669 + 0.386654i 0.810183 0.586177i \(-0.199368\pi\)
−0.231514 + 0.972832i \(0.574368\pi\)
\(174\) 9.71814 9.12141i 0.736731 0.691492i
\(175\) 7.80507 + 7.80507i 0.590008 + 0.590008i
\(176\) −8.01599 0.642502i −0.604228 0.0484304i
\(177\) 1.93331 + 5.60872i 0.145316 + 0.421577i
\(178\) −9.36273 + 4.20127i −0.701766 + 0.314898i
\(179\) 2.06902 + 1.38248i 0.154646 + 0.103331i 0.630486 0.776201i \(-0.282856\pi\)
−0.475840 + 0.879532i \(0.657856\pi\)
\(180\) 1.91512 0.256265i 0.142745 0.0191009i
\(181\) −1.87039 0.372044i −0.139025 0.0276538i 0.125087 0.992146i \(-0.460079\pi\)
−0.264112 + 0.964492i \(0.585079\pi\)
\(182\) −3.58591 + 21.2392i −0.265806 + 1.57435i
\(183\) −7.21924 0.439154i −0.533662 0.0324632i
\(184\) −4.87556 + 15.4638i −0.359431 + 1.14001i
\(185\) 0.316504 0.764108i 0.0232698 0.0561783i
\(186\) −6.24169 10.0138i −0.457663 0.734244i
\(187\) 3.04276 + 4.55381i 0.222508 + 0.333007i
\(188\) 9.22050 + 8.20545i 0.672474 + 0.598444i
\(189\) −4.63470 10.7582i −0.337125 0.782541i
\(190\) 1.41052 + 1.33075i 0.102330 + 0.0965425i
\(191\) −2.62478 −0.189923 −0.0949613 0.995481i \(-0.530273\pi\)
−0.0949613 + 0.995481i \(0.530273\pi\)
\(192\) 13.8092 + 1.14260i 0.996594 + 0.0824600i
\(193\) 4.95945 0.356989 0.178495 0.983941i \(-0.442877\pi\)
0.178495 + 0.983941i \(0.442877\pi\)
\(194\) −17.8323 16.8238i −1.28028 1.20788i
\(195\) −3.64456 0.958246i −0.260993 0.0686215i
\(196\) 2.54992 2.86536i 0.182137 0.204669i
\(197\) −10.7615 16.1058i −0.766727 1.14749i −0.985160 0.171636i \(-0.945095\pi\)
0.218433 0.975852i \(-0.429905\pi\)
\(198\) −8.48349 + 0.884870i −0.602895 + 0.0628850i
\(199\) −8.04854 + 19.4309i −0.570546 + 1.37742i 0.330546 + 0.943790i \(0.392767\pi\)
−0.901091 + 0.433629i \(0.857233\pi\)
\(200\) −12.2840 + 6.39479i −0.868609 + 0.452180i
\(201\) −1.05143 + 17.2845i −0.0741623 + 1.21915i
\(202\) 4.12264 24.4182i 0.290068 1.71806i
\(203\) −12.0308 2.39308i −0.844399 0.167961i
\(204\) −5.22268 7.85999i −0.365661 0.550309i
\(205\) 2.17528 + 1.45348i 0.151928 + 0.101515i
\(206\) −7.56908 + 3.39641i −0.527362 + 0.236639i
\(207\) −2.08460 + 17.0709i −0.144890 + 1.18651i
\(208\) −24.0615 12.3037i −1.66837 0.853107i
\(209\) −6.05311 6.05311i −0.418703 0.418703i
\(210\) −1.21699 1.29661i −0.0839803 0.0894744i
\(211\) 16.7354 + 11.1822i 1.15211 + 0.769817i 0.976685 0.214676i \(-0.0688695\pi\)
0.175427 + 0.984492i \(0.443869\pi\)
\(212\) 16.9145 + 2.35198i 1.16169 + 0.161535i
\(213\) −5.29840 + 6.97253i −0.363041 + 0.477750i
\(214\) 8.76366 + 12.3240i 0.599072 + 0.842451i
\(215\) −0.0466774 0.112689i −0.00318337 0.00768534i
\(216\) 14.6215 1.48709i 0.994868 0.101184i
\(217\) −4.15586 + 10.0331i −0.282118 + 0.681093i
\(218\) 5.26856 + 22.9727i 0.356832 + 1.55591i
\(219\) −0.843791 6.18477i −0.0570181 0.417928i
\(220\) −1.16544 + 0.564240i −0.0785738 + 0.0380411i
\(221\) 3.59069 + 18.0516i 0.241536 + 1.21428i
\(222\) 2.59024 5.73295i 0.173845 0.384770i
\(223\) 25.3028 1.69440 0.847201 0.531273i \(-0.178286\pi\)
0.847201 + 0.531273i \(0.178286\pi\)
\(224\) −6.53643 10.9501i −0.436734 0.731633i
\(225\) −11.5690 + 9.05103i −0.771268 + 0.603402i
\(226\) −0.0228740 0.786041i −0.00152155 0.0522867i
\(227\) 28.7840 5.72550i 1.91046 0.380015i 0.910989 0.412430i \(-0.135320\pi\)
0.999475 + 0.0324148i \(0.0103198\pi\)
\(228\) 10.4031 + 10.4567i 0.688960 + 0.692514i
\(229\) −1.83951 2.75302i −0.121558 0.181924i 0.765700 0.643198i \(-0.222393\pi\)
−0.887258 + 0.461273i \(0.847393\pi\)
\(230\) 0.583597 + 2.54468i 0.0384812 + 0.167791i
\(231\) 5.20355 + 5.87762i 0.342368 + 0.386719i
\(232\) 7.40236 13.4930i 0.485989 0.885860i
\(233\) 23.0927 9.56529i 1.51285 0.626643i 0.536706 0.843769i \(-0.319668\pi\)
0.976144 + 0.217126i \(0.0696683\pi\)
\(234\) −27.4772 8.16276i −1.79624 0.533616i
\(235\) 1.94921 + 0.387723i 0.127153 + 0.0252922i
\(236\) 4.13063 + 5.46490i 0.268881 + 0.355735i
\(237\) 1.09646 + 1.87871i 0.0712228 + 0.122035i
\(238\) −3.08887 + 8.11736i −0.200222 + 0.526170i
\(239\) −10.2155 + 10.2155i −0.660783 + 0.660783i −0.955565 0.294782i \(-0.904753\pi\)
0.294782 + 0.955565i \(0.404753\pi\)
\(240\) 2.01062 0.967057i 0.129785 0.0624233i
\(241\) −12.7558 12.7558i −0.821670 0.821670i 0.164677 0.986348i \(-0.447342\pi\)
−0.986348 + 0.164677i \(0.947342\pi\)
\(242\) −8.97793 + 4.02860i −0.577123 + 0.258968i
\(243\) 14.9585 4.38682i 0.959586 0.281414i
\(244\) −8.08239 + 2.10285i −0.517422 + 0.134621i
\(245\) 0.120489 0.605738i 0.00769774 0.0386992i
\(246\) 16.1877 + 11.5740i 1.03209 + 0.737930i
\(247\) −11.0090 26.5780i −0.700485 1.69112i
\(248\) −10.4376 8.75799i −0.662786 0.556133i
\(249\) −14.9816 16.9224i −0.949422 1.07241i
\(250\) −2.39388 + 3.81867i −0.151402 + 0.241514i
\(251\) 8.72325 5.82869i 0.550607 0.367904i −0.248929 0.968522i \(-0.580079\pi\)
0.799536 + 0.600618i \(0.205079\pi\)
\(252\) −8.93999 10.1506i −0.563167 0.639427i
\(253\) −2.24840 11.3035i −0.141356 0.710644i
\(254\) −12.9830 12.2487i −0.814624 0.768553i
\(255\) −1.36593 0.665652i −0.0855381 0.0416848i
\(256\) 15.5686 3.69025i 0.973039 0.230641i
\(257\) 12.2349i 0.763193i −0.924329 0.381596i \(-0.875374\pi\)
0.924329 0.381596i \(-0.124626\pi\)
\(258\) −0.327731 0.867966i −0.0204036 0.0540372i
\(259\) −5.67857 + 1.12954i −0.352849 + 0.0701860i
\(260\) −4.34405 + 0.253040i −0.269406 + 0.0156929i
\(261\) 5.10175 15.5060i 0.315791 0.959797i
\(262\) 19.2876 + 12.0912i 1.19159 + 0.746996i
\(263\) −11.1339 4.61180i −0.686544 0.284376i 0.0120153 0.999928i \(-0.496175\pi\)
−0.698560 + 0.715552i \(0.746175\pi\)
\(264\) −8.99617 + 4.00902i −0.553676 + 0.246738i
\(265\) 2.54039 1.05227i 0.156055 0.0646402i
\(266\) 2.25998 13.3857i 0.138568 0.820732i
\(267\) −7.60433 + 10.0071i −0.465377 + 0.612422i
\(268\) 5.03469 + 19.3511i 0.307543 + 1.18205i
\(269\) −1.94367 + 2.90890i −0.118507 + 0.177359i −0.885981 0.463722i \(-0.846514\pi\)
0.767473 + 0.641081i \(0.221514\pi\)
\(270\) 1.90905 1.39842i 0.116181 0.0851051i
\(271\) −13.9577 + 13.9577i −0.847870 + 0.847870i −0.989867 0.141997i \(-0.954648\pi\)
0.141997 + 0.989867i \(0.454648\pi\)
\(272\) −8.54774 6.75850i −0.518283 0.409794i
\(273\) 8.59696 + 24.9406i 0.520312 + 1.50947i
\(274\) −28.3652 10.7937i −1.71361 0.652073i
\(275\) 5.46883 8.18468i 0.329783 0.493555i
\(276\) 3.82404 + 19.4866i 0.230180 + 1.17295i
\(277\) 0.588884 2.96052i 0.0353826 0.177881i −0.959053 0.283227i \(-0.908595\pi\)
0.994436 + 0.105346i \(0.0335951\pi\)
\(278\) −9.68271 13.6164i −0.580730 0.816658i
\(279\) −12.5828 7.10803i −0.753312 0.425547i
\(280\) −1.80026 0.987632i −0.107586 0.0590223i
\(281\) 2.05608 + 0.851655i 0.122655 + 0.0508055i 0.443167 0.896439i \(-0.353855\pi\)
−0.320512 + 0.947245i \(0.603855\pi\)
\(282\) 14.7256 + 3.41707i 0.876899 + 0.203484i
\(283\) 22.2557 14.8708i 1.32297 0.883977i 0.324875 0.945757i \(-0.394678\pi\)
0.998090 + 0.0617797i \(0.0196776\pi\)
\(284\) −3.31988 + 9.55148i −0.196999 + 0.566776i
\(285\) 2.29694 + 0.603923i 0.136059 + 0.0357733i
\(286\) 19.2009 0.558749i 1.13537 0.0330395i
\(287\) 18.3145i 1.08107i
\(288\) 15.5188 6.86792i 0.914451 0.404696i
\(289\) 9.57868i 0.563452i
\(290\) −0.0720814 2.47701i −0.00423277 0.145455i
\(291\) −29.0388 7.63501i −1.70228 0.447572i
\(292\) −3.14084 6.48739i −0.183803 0.379646i
\(293\) −5.53441 + 3.69798i −0.323324 + 0.216038i −0.706630 0.707583i \(-0.749785\pi\)
0.383306 + 0.923621i \(0.374785\pi\)
\(294\) 1.06189 4.57614i 0.0619306 0.266886i
\(295\) 1.01905 + 0.422105i 0.0593315 + 0.0245759i
\(296\) 0.790758 7.22100i 0.0459619 0.419712i
\(297\) −8.60334 + 5.92548i −0.499217 + 0.343831i
\(298\) 1.98935 1.41464i 0.115240 0.0819478i
\(299\) 7.55593 37.9862i 0.436971 2.19680i
\(300\) −9.45942 + 14.0785i −0.546140 + 0.812822i
\(301\) −0.474386 + 0.709969i −0.0273432 + 0.0409219i
\(302\) −3.14150 + 8.25567i −0.180773 + 0.475061i
\(303\) −9.88372 28.6736i −0.567805 1.64726i
\(304\) 15.1645 + 7.75424i 0.869742 + 0.444736i
\(305\) −0.950860 + 0.950860i −0.0544461 + 0.0544461i
\(306\) −10.2243 5.38958i −0.584484 0.308102i
\(307\) −4.52136 + 6.76670i −0.258048 + 0.386196i −0.937761 0.347283i \(-0.887104\pi\)
0.679713 + 0.733478i \(0.262104\pi\)
\(308\) 7.81692 + 4.58915i 0.445410 + 0.261491i
\(309\) −6.14754 + 8.08997i −0.349721 + 0.460222i
\(310\) −2.16325 0.365232i −0.122864 0.0207438i
\(311\) −6.53824 + 2.70823i −0.370749 + 0.153569i −0.560276 0.828306i \(-0.689305\pi\)
0.189526 + 0.981876i \(0.439305\pi\)
\(312\) −33.0868 + 0.877661i −1.87317 + 0.0496878i
\(313\) 8.49472 + 3.51863i 0.480150 + 0.198885i 0.609612 0.792700i \(-0.291325\pi\)
−0.129462 + 0.991584i \(0.541325\pi\)
\(314\) 1.89729 3.02651i 0.107070 0.170796i
\(315\) −2.06883 0.680682i −0.116565 0.0383521i
\(316\) 1.87637 + 1.66981i 0.105554 + 0.0939340i
\(317\) −16.5670 + 3.29538i −0.930496 + 0.185087i −0.636992 0.770871i \(-0.719822\pi\)
−0.293504 + 0.955958i \(0.594822\pi\)
\(318\) 19.5669 7.38815i 1.09726 0.414307i
\(319\) 10.9392i 0.612477i
\(320\) 1.86096 1.78155i 0.104031 0.0995916i
\(321\) 16.6492 + 8.11353i 0.929266 + 0.452853i
\(322\) 12.5420 13.2938i 0.698936 0.740834i
\(323\) −2.26299 11.3768i −0.125916 0.633022i
\(324\) 14.8504 10.1718i 0.825021 0.565103i
\(325\) 27.5053 18.3784i 1.52572 1.01945i
\(326\) −2.37467 1.48865i −0.131521 0.0824488i
\(327\) 19.1344 + 21.6131i 1.05814 + 1.19521i
\(328\) 21.9148 + 6.90947i 1.21004 + 0.381512i
\(329\) −5.32416 12.8537i −0.293530 0.708645i
\(330\) −0.922354 + 1.29003i −0.0507739 + 0.0710139i
\(331\) 6.05143 30.4226i 0.332617 1.67218i −0.346425 0.938078i \(-0.612604\pi\)
0.679042 0.734100i \(-0.262396\pi\)
\(332\) −22.5058 13.2127i −1.23517 0.725141i
\(333\) −0.576068 7.68324i −0.0315684 0.421039i
\(334\) −4.93649 11.0012i −0.270113 0.601959i
\(335\) 2.27657 + 2.27657i 0.124382 + 0.124382i
\(336\) −13.4487 7.94204i −0.733687 0.433274i
\(337\) −19.5173 + 19.5173i −1.06317 + 1.06317i −0.0653081 + 0.997865i \(0.520803\pi\)
−0.997865 + 0.0653081i \(0.979197\pi\)
\(338\) 43.1500 + 16.4197i 2.34705 + 0.893115i
\(339\) −0.485463 0.831806i −0.0263667 0.0451775i
\(340\) −1.73784 0.241650i −0.0942478 0.0131053i
\(341\) 9.49858 + 1.88938i 0.514377 + 0.102316i
\(342\) 17.3172 + 5.14448i 0.936406 + 0.278182i
\(343\) −18.5737 + 7.69349i −1.00289 + 0.415410i
\(344\) −0.670564 0.835489i −0.0361544 0.0450465i
\(345\) 2.11951 + 2.39408i 0.114111 + 0.128893i
\(346\) 12.6180 2.89381i 0.678348 0.155572i
\(347\) 18.1081 + 27.1006i 0.972092 + 1.45484i 0.888790 + 0.458314i \(0.151547\pi\)
0.0833020 + 0.996524i \(0.473453\pi\)
\(348\) 0.0484830 18.8489i 0.00259896 1.01041i
\(349\) −5.16303 + 1.02699i −0.276371 + 0.0549735i −0.331330 0.943515i \(-0.607497\pi\)
0.0549589 + 0.998489i \(0.482497\pi\)
\(350\) 15.6035 0.454066i 0.834044 0.0242709i
\(351\) −34.3318 + 7.33301i −1.83249 + 0.391407i
\(352\) −8.44035 + 7.62223i −0.449872 + 0.406266i
\(353\) −2.47590 −0.131779 −0.0658896 0.997827i \(-0.520989\pi\)
−0.0658896 + 0.997827i \(0.520989\pi\)
\(354\) 7.64574 + 3.45447i 0.406367 + 0.183603i
\(355\) 0.317644 + 1.59691i 0.0168588 + 0.0847549i
\(356\) −4.76473 + 13.7084i −0.252530 + 0.726544i
\(357\) 1.43791 + 10.5395i 0.0761024 + 0.557810i
\(358\) 3.43007 0.786653i 0.181285 0.0415759i
\(359\) −10.8412 + 26.1730i −0.572178 + 1.38136i 0.327519 + 0.944844i \(0.393787\pi\)
−0.899697 + 0.436515i \(0.856213\pi\)
\(360\) 1.59499 2.21872i 0.0840635 0.116937i
\(361\) −0.332709 0.803232i −0.0175110 0.0422753i
\(362\) −2.19791 + 1.56294i −0.115519 + 0.0821465i
\(363\) −7.29180 + 9.59578i −0.382720 + 0.503648i
\(364\) 18.3679 + 24.3011i 0.962740 + 1.27372i
\(365\) −0.964967 0.644770i −0.0505087 0.0337488i
\(366\) −7.45794 + 6.99998i −0.389833 + 0.365895i
\(367\) −10.4204 10.4204i −0.543941 0.543941i 0.380741 0.924682i \(-0.375669\pi\)
−0.924682 + 0.380741i \(0.875669\pi\)
\(368\) 11.1754 + 20.0228i 0.582558 + 1.04376i
\(369\) 24.1924 + 2.95422i 1.25940 + 0.153791i
\(370\) −0.478847 1.06713i −0.0248941 0.0554777i
\(371\) −16.0051 10.6943i −0.830942 0.555218i
\(372\) −16.3583 3.29763i −0.848137 0.170974i
\(373\) −23.9578 4.76550i −1.24049 0.246748i −0.469117 0.883136i \(-0.655428\pi\)
−0.771369 + 0.636388i \(0.780428\pi\)
\(374\) 7.63730 + 1.28944i 0.394916 + 0.0666755i
\(375\) −0.335162 + 5.50972i −0.0173077 + 0.284521i
\(376\) 17.3891 1.52151i 0.896772 0.0784660i
\(377\) −14.0682 + 33.9637i −0.724550 + 1.74922i
\(378\) −15.5645 5.67311i −0.800550 0.291793i
\(379\) 0.639117 + 0.956506i 0.0328292 + 0.0491324i 0.847521 0.530761i \(-0.178094\pi\)
−0.814692 + 0.579894i \(0.803094\pi\)
\(380\) 2.73778 0.159475i 0.140445 0.00818090i
\(381\) −21.1420 5.55875i −1.08314 0.284783i
\(382\) −2.54732 + 2.70002i −0.130332 + 0.138145i
\(383\) −7.23511 −0.369697 −0.184848 0.982767i \(-0.559179\pi\)
−0.184848 + 0.982767i \(0.559179\pi\)
\(384\) 14.5770 13.0962i 0.743882 0.668311i
\(385\) 1.45952 0.0743841
\(386\) 4.81309 5.10162i 0.244980 0.259665i
\(387\) −0.861305 0.741157i −0.0437826 0.0376751i
\(388\) −34.6120 + 2.01614i −1.75716 + 0.102354i
\(389\) 12.1387 + 18.1669i 0.615458 + 0.921098i 0.999998 0.00201037i \(-0.000639920\pi\)
−0.384540 + 0.923108i \(0.625640\pi\)
\(390\) −4.52272 + 2.81907i −0.229017 + 0.142749i
\(391\) 5.97628 14.4280i 0.302233 0.729656i
\(392\) −0.472825 5.40382i −0.0238813 0.272934i
\(393\) 27.8289 + 1.69286i 1.40378 + 0.0853934i
\(394\) −27.0114 4.56046i −1.36081 0.229753i
\(395\) 0.396665 + 0.0789015i 0.0199584 + 0.00396996i
\(396\) −7.32289 + 9.58542i −0.367989 + 0.481685i
\(397\) −2.88521 1.92783i −0.144804 0.0967553i 0.481058 0.876689i \(-0.340253\pi\)
−0.625862 + 0.779934i \(0.715253\pi\)
\(398\) 12.1769 + 27.1367i 0.610370 + 1.36024i
\(399\) −5.41813 15.7185i −0.271246 0.786910i
\(400\) −5.34338 + 18.8422i −0.267169 + 0.942109i
\(401\) 3.52904 + 3.52904i 0.176232 + 0.176232i 0.789711 0.613479i \(-0.210231\pi\)
−0.613479 + 0.789711i \(0.710231\pi\)
\(402\) 16.7595 + 17.8560i 0.835889 + 0.890575i
\(403\) 27.0611 + 18.0816i 1.34801 + 0.900710i
\(404\) −21.1171 27.9384i −1.05062 1.38999i
\(405\) 1.23285 2.62300i 0.0612609 0.130338i
\(406\) −14.1375 + 10.0532i −0.701631 + 0.498934i
\(407\) 1.97591 + 4.77028i 0.0979424 + 0.236454i
\(408\) −13.1538 2.25564i −0.651212 0.111671i
\(409\) −5.58509 + 13.4836i −0.276165 + 0.666721i −0.999723 0.0235426i \(-0.992505\pi\)
0.723558 + 0.690264i \(0.242505\pi\)
\(410\) 3.60623 0.827054i 0.178099 0.0408453i
\(411\) −36.8292 + 5.02463i −1.81665 + 0.247847i
\(412\) −3.85193 + 11.0822i −0.189771 + 0.545982i
\(413\) −1.50641 7.57322i −0.0741254 0.372654i
\(414\) 15.5372 + 18.7115i 0.763612 + 0.919621i
\(415\) −4.20214 −0.206275
\(416\) −36.0078 + 12.8106i −1.76543 + 0.628093i
\(417\) −18.3952 8.96440i −0.900815 0.438988i
\(418\) −12.1011 + 0.352145i −0.591884 + 0.0172240i
\(419\) −0.203629 + 0.0405044i −0.00994795 + 0.00197877i −0.200062 0.979783i \(-0.564114\pi\)
0.190114 + 0.981762i \(0.439114\pi\)
\(420\) −2.51485 0.00646866i −0.122712 0.000315638i
\(421\) 3.14722 + 4.71015i 0.153386 + 0.229559i 0.900202 0.435472i \(-0.143418\pi\)
−0.746816 + 0.665031i \(0.768418\pi\)
\(422\) 27.7443 6.36288i 1.35057 0.309740i
\(423\) 17.8377 4.95953i 0.867299 0.241141i
\(424\) 18.8347 15.1168i 0.914695 0.734135i
\(425\) 12.3232 5.10444i 0.597763 0.247602i
\(426\) 2.03036 + 12.2170i 0.0983711 + 0.591918i
\(427\) 9.23275 + 1.83651i 0.446804 + 0.0888749i
\(428\) 21.1823 + 2.94543i 1.02389 + 0.142373i
\(429\) 20.3188 11.8586i 0.980999 0.572536i
\(430\) −0.161219 0.0613483i −0.00777469 0.00295848i
\(431\) −1.66766 + 1.66766i −0.0803285 + 0.0803285i −0.746129 0.665801i \(-0.768090\pi\)
0.665801 + 0.746129i \(0.268090\pi\)
\(432\) 12.6603 16.4838i 0.609119 0.793079i
\(433\) 2.29406 + 2.29406i 0.110246 + 0.110246i 0.760078 0.649832i \(-0.225161\pi\)
−0.649832 + 0.760078i \(0.725161\pi\)
\(434\) 6.28751 + 14.0120i 0.301810 + 0.672599i
\(435\) −1.52981 2.62122i −0.0733489 0.125678i
\(436\) 28.7443 + 16.8752i 1.37660 + 0.808174i
\(437\) −4.76203 + 23.9403i −0.227799 + 1.14522i
\(438\) −7.18094 5.13427i −0.343119 0.245325i
\(439\) −7.36936 17.7912i −0.351721 0.849129i −0.996408 0.0846823i \(-0.973012\pi\)
0.644687 0.764446i \(-0.276988\pi\)
\(440\) −0.550630 + 1.74643i −0.0262503 + 0.0832580i
\(441\) −1.54122 5.54325i −0.0733916 0.263964i
\(442\) 22.0538 + 13.8253i 1.04899 + 0.657601i
\(443\) −14.2497 + 9.52137i −0.677026 + 0.452374i −0.845955 0.533254i \(-0.820969\pi\)
0.168929 + 0.985628i \(0.445969\pi\)
\(444\) −3.38348 8.22825i −0.160573 0.390496i
\(445\) 0.455887 + 2.29190i 0.0216111 + 0.108646i
\(446\) 24.5561 26.0281i 1.16277 1.23247i
\(447\) 1.30969 2.68752i 0.0619464 0.127115i
\(448\) −17.6075 3.90314i −0.831876 0.184406i
\(449\) 20.5109i 0.967969i 0.875076 + 0.483985i \(0.160811\pi\)
−0.875076 + 0.483985i \(0.839189\pi\)
\(450\) −1.91714 + 20.6846i −0.0903747 + 0.975080i
\(451\) −16.0189 + 3.18636i −0.754301 + 0.150040i
\(452\) −0.830772 0.739315i −0.0390762 0.0347744i
\(453\) 1.46241 + 10.7191i 0.0687101 + 0.503627i
\(454\) 22.0450 35.1657i 1.03462 1.65041i
\(455\) 4.53148 + 1.87700i 0.212439 + 0.0879951i
\(456\) 20.8525 0.553135i 0.976509 0.0259029i
\(457\) 12.1851 5.04723i 0.569994 0.236099i −0.0790232 0.996873i \(-0.525180\pi\)
0.649018 + 0.760773i \(0.275180\pi\)
\(458\) −4.61715 0.779536i −0.215745 0.0364253i
\(459\) −14.1540 + 0.199316i −0.660652 + 0.00930329i
\(460\) 3.18400 + 1.86926i 0.148455 + 0.0871546i
\(461\) 13.4220 20.0875i 0.625125 0.935566i −0.374839 0.927090i \(-0.622302\pi\)
0.999964 0.00847605i \(-0.00269804\pi\)
\(462\) 11.0961 + 0.351466i 0.516237 + 0.0163517i
\(463\) 13.1623 13.1623i 0.611703 0.611703i −0.331686 0.943390i \(-0.607618\pi\)
0.943390 + 0.331686i \(0.107618\pi\)
\(464\) −6.69589 20.7094i −0.310849 0.961408i
\(465\) −2.54025 + 0.875617i −0.117801 + 0.0406058i
\(466\) 12.5717 33.0376i 0.582372 1.53044i
\(467\) −9.33427 + 13.9697i −0.431938 + 0.646441i −0.982044 0.188654i \(-0.939588\pi\)
0.550105 + 0.835095i \(0.314588\pi\)
\(468\) −35.0631 + 20.3430i −1.62079 + 0.940355i
\(469\) 4.39701 22.1053i 0.203035 1.02073i
\(470\) 2.29053 1.62881i 0.105654 0.0751313i
\(471\) 0.265635 4.36677i 0.0122398 0.201210i
\(472\) 9.63028 + 1.05459i 0.443269 + 0.0485416i
\(473\) 0.703512 + 0.291404i 0.0323475 + 0.0133988i
\(474\) 2.99666 + 0.695373i 0.137641 + 0.0319395i
\(475\) −17.3348 + 11.5828i −0.795377 + 0.531454i
\(476\) 5.35233 + 11.0552i 0.245323 + 0.506715i
\(477\) 16.7082 19.4167i 0.765014 0.889030i
\(478\) 0.594292 + 20.4223i 0.0271823 + 0.934093i
\(479\) 15.8581i 0.724575i −0.932066 0.362288i \(-0.881996\pi\)
0.932066 0.362288i \(-0.118004\pi\)
\(480\) 0.956511 3.00678i 0.0436586 0.137240i
\(481\) 17.3517i 0.791170i
\(482\) −25.5007 + 0.742076i −1.16153 + 0.0338006i
\(483\) 5.69183 21.6481i 0.258987 0.985024i
\(484\) −4.56891 + 13.1450i −0.207678 + 0.597500i
\(485\) −4.64170 + 3.10149i −0.210769 + 0.140831i
\(486\) 10.0045 19.6446i 0.453812 0.891098i
\(487\) 10.8169 + 4.48050i 0.490160 + 0.203031i 0.614053 0.789265i \(-0.289538\pi\)
−0.123893 + 0.992296i \(0.539538\pi\)
\(488\) −5.68075 + 10.3549i −0.257155 + 0.468743i
\(489\) −3.42626 0.208423i −0.154941 0.00942521i
\(490\) −0.506168 0.711804i −0.0228663 0.0321560i
\(491\) 3.80658 19.1370i 0.171789 0.863639i −0.794714 0.606984i \(-0.792379\pi\)
0.966503 0.256656i \(-0.0826207\pi\)
\(492\) 27.6157 5.41930i 1.24501 0.244321i
\(493\) −8.23526 + 12.3249i −0.370897 + 0.555087i
\(494\) −38.0240 14.4691i −1.71078 0.650997i
\(495\) −0.235428 + 1.92794i −0.0105817 + 0.0866544i
\(496\) −19.1386 + 2.23723i −0.859348 + 0.100454i
\(497\) 8.05964 8.05964i 0.361524 0.361524i
\(498\) −31.9469 1.01191i −1.43158 0.0453449i
\(499\) 8.85369 13.2505i 0.396346 0.593173i −0.578601 0.815610i \(-0.696401\pi\)
0.974947 + 0.222437i \(0.0714013\pi\)
\(500\) 1.60489 + 6.16848i 0.0717731 + 0.275863i
\(501\) −11.7583 8.93509i −0.525322 0.399190i
\(502\) 2.47005 14.6300i 0.110244 0.652968i
\(503\) 36.1445 14.9715i 1.61160 0.667547i 0.618607 0.785701i \(-0.287697\pi\)
0.992995 + 0.118153i \(0.0376974\pi\)
\(504\) −19.1177 0.654777i −0.851571 0.0291661i
\(505\) −5.20973 2.15794i −0.231830 0.0960271i
\(506\) −13.8095 8.65705i −0.613909 0.384853i
\(507\) 56.0256 7.64360i 2.48819 0.339464i
\(508\) −25.1996 + 1.46787i −1.11805 + 0.0651263i
\(509\) 18.7355 3.72672i 0.830436 0.165184i 0.238473 0.971149i \(-0.423353\pi\)
0.591963 + 0.805965i \(0.298353\pi\)
\(510\) −2.01036 + 0.759080i −0.0890201 + 0.0336126i
\(511\) 8.12440i 0.359402i
\(512\) 11.3131 19.5962i 0.499975 0.866040i
\(513\) 21.6372 4.62154i 0.955305 0.204046i
\(514\) −12.5856 11.8738i −0.555128 0.523733i
\(515\) 0.368551 + 1.85283i 0.0162403 + 0.0816454i
\(516\) −1.21091 0.505226i −0.0533071 0.0222414i
\(517\) −10.3162 + 6.89309i −0.453708 + 0.303158i
\(518\) −4.34907 + 6.93755i −0.191087 + 0.304818i
\(519\) 11.8713 10.5098i 0.521090 0.461329i
\(520\) −3.95556 + 4.71414i −0.173463 + 0.206729i
\(521\) 12.4390 + 30.0303i 0.544961 + 1.31565i 0.921185 + 0.389124i \(0.127222\pi\)
−0.376224 + 0.926529i \(0.622778\pi\)
\(522\) −10.9993 20.2964i −0.481425 0.888349i
\(523\) −1.09535 + 5.50671i −0.0478965 + 0.240792i −0.997316 0.0732190i \(-0.976673\pi\)
0.949419 + 0.314011i \(0.101673\pi\)
\(524\) 31.1562 8.10611i 1.36106 0.354117i
\(525\) 16.5120 9.63683i 0.720643 0.420586i
\(526\) −15.5493 + 6.97732i −0.677982 + 0.304226i
\(527\) 9.27945 + 9.27945i 0.404219 + 0.404219i
\(528\) −4.60675 + 13.1448i −0.200483 + 0.572052i
\(529\) −6.97387 + 6.97387i −0.303212 + 0.303212i
\(530\) 1.38300 3.63443i 0.0600735 0.157869i
\(531\) 10.2468 0.768273i 0.444671 0.0333402i
\(532\) −11.5761 15.3155i −0.501889 0.664009i
\(533\) −53.8328 10.7080i −2.33176 0.463815i
\(534\) 2.91399 + 17.5340i 0.126101 + 0.758772i
\(535\) 3.18138 1.31777i 0.137543 0.0569722i
\(536\) 24.7919 + 13.6010i 1.07085 + 0.587473i
\(537\) 3.22707 2.85697i 0.139259 0.123288i
\(538\) 1.10598 + 4.82244i 0.0476821 + 0.207910i
\(539\) 2.14210 + 3.20587i 0.0922666 + 0.138087i
\(540\) 0.414203 3.32092i 0.0178244 0.142910i
\(541\) −25.0153 + 4.97586i −1.07549 + 0.213929i −0.700900 0.713260i \(-0.747218\pi\)
−0.374594 + 0.927189i \(0.622218\pi\)
\(542\) 0.812001 + 27.9036i 0.0348784 + 1.19856i
\(543\) −1.44700 + 2.96927i −0.0620966 + 0.127424i
\(544\) −15.2477 + 2.23371i −0.653740 + 0.0957694i
\(545\) 5.36694 0.229894
\(546\) 33.9988 + 15.3612i 1.45501 + 0.657399i
\(547\) 2.01752 + 10.1427i 0.0862628 + 0.433673i 0.999647 + 0.0265735i \(0.00845961\pi\)
−0.913384 + 0.407099i \(0.866540\pi\)
\(548\) −38.6313 + 18.7031i −1.65025 + 0.798958i
\(549\) −3.91521 + 11.8997i −0.167097 + 0.507865i
\(550\) −3.11185 13.5687i −0.132690 0.578573i
\(551\) 8.86632 21.4052i 0.377718 0.911892i
\(552\) 23.7564 + 14.9779i 1.01114 + 0.637500i
\(553\) −1.08346 2.61572i −0.0460736 0.111232i
\(554\) −2.47388 3.47892i −0.105105 0.147805i
\(555\) −1.14057 0.866717i −0.0484146 0.0367901i
\(556\) −23.4037 3.25432i −0.992537 0.138014i
\(557\) −26.6333 17.7958i −1.12849 0.754032i −0.156179 0.987729i \(-0.549918\pi\)
−0.972310 + 0.233697i \(0.924918\pi\)
\(558\) −19.5232 + 6.04521i −0.826485 + 0.255914i
\(559\) 1.80949 + 1.80949i 0.0765331 + 0.0765331i
\(560\) −2.76307 + 0.893374i −0.116761 + 0.0377519i
\(561\) 8.96829 3.09134i 0.378641 0.130517i
\(562\) 2.87147 1.28849i 0.121126 0.0543517i
\(563\) −20.2258 13.5144i −0.852415 0.569565i 0.0508221 0.998708i \(-0.483816\pi\)
−0.903237 + 0.429142i \(0.858816\pi\)
\(564\) 17.8061 11.8315i 0.749771 0.498196i
\(565\) −0.175625 0.0349340i −0.00738860 0.00146968i
\(566\) 6.30187 37.3256i 0.264887 1.56891i
\(567\) −20.0624 + 3.02546i −0.842543 + 0.127057i
\(568\) 6.60336 + 12.6846i 0.277071 + 0.532236i
\(569\) −0.691524 + 1.66949i −0.0289902 + 0.0699885i −0.937712 0.347415i \(-0.887060\pi\)
0.908721 + 0.417403i \(0.137060\pi\)
\(570\) 2.85039 1.77668i 0.119390 0.0744170i
\(571\) −0.641074 0.959434i −0.0268281 0.0401511i 0.817813 0.575484i \(-0.195186\pi\)
−0.844641 + 0.535333i \(0.820186\pi\)
\(572\) 18.0595 20.2935i 0.755104 0.848514i
\(573\) −1.15603 + 4.39682i −0.0482940 + 0.183680i
\(574\) −18.8395 17.7740i −0.786345 0.741874i
\(575\) −28.0684 −1.17053
\(576\) 7.99598 22.6288i 0.333166 0.942868i
\(577\) 0.766924 0.0319275 0.0159637 0.999873i \(-0.494918\pi\)
0.0159637 + 0.999873i \(0.494918\pi\)
\(578\) −9.85325 9.29601i −0.409841 0.386663i
\(579\) 2.18429 8.30767i 0.0907761 0.345255i
\(580\) −2.61797 2.32976i −0.108705 0.0967381i
\(581\) 16.3431 + 24.4592i 0.678026 + 1.01474i
\(582\) −36.0357 + 22.4615i −1.49373 + 0.931057i
\(583\) −6.56923 + 15.8595i −0.272070 + 0.656835i
\(584\) −9.72150 3.06507i −0.402278 0.126834i
\(585\) −3.21035 + 5.68304i −0.132732 + 0.234965i
\(586\) −1.56711 + 9.28190i −0.0647367 + 0.383432i
\(587\) 23.1849 + 4.61175i 0.956941 + 0.190347i 0.648771 0.760984i \(-0.275283\pi\)
0.308170 + 0.951331i \(0.400283\pi\)
\(588\) −3.67676 5.53342i −0.151627 0.228194i
\(589\) −17.0549 11.3957i −0.702735 0.469552i
\(590\) 1.42318 0.638614i 0.0585915 0.0262913i
\(591\) −31.7188 + 10.9334i −1.30474 + 0.449739i
\(592\) −6.66056 7.82132i −0.273747 0.321454i
\(593\) −20.6292 20.6292i −0.847139 0.847139i 0.142636 0.989775i \(-0.454442\pi\)
−0.989775 + 0.142636i \(0.954442\pi\)
\(594\) −2.25412 + 14.6006i −0.0924877 + 0.599068i
\(595\) 1.64441 + 1.09876i 0.0674142 + 0.0450447i
\(596\) 0.475454 3.41927i 0.0194754 0.140059i
\(597\) 29.0042 + 22.0402i 1.18706 + 0.902045i
\(598\) −31.7421 44.6377i −1.29803 1.82537i
\(599\) 8.89924 + 21.4847i 0.363613 + 0.877840i 0.994766 + 0.102181i \(0.0325821\pi\)
−0.631153 + 0.775659i \(0.717418\pi\)
\(600\) 5.30179 + 23.3936i 0.216445 + 0.955039i
\(601\) 4.20520 10.1522i 0.171534 0.414119i −0.814611 0.580008i \(-0.803049\pi\)
0.986144 + 0.165889i \(0.0530494\pi\)
\(602\) 0.269934 + 1.17700i 0.0110017 + 0.0479710i
\(603\) 28.4905 + 9.37388i 1.16022 + 0.381734i
\(604\) 5.44352 + 11.2436i 0.221494 + 0.457495i
\(605\) 0.437150 + 2.19770i 0.0177727 + 0.0893493i
\(606\) −39.0876 17.6604i −1.58782 0.717405i
\(607\) 26.3541 1.06968 0.534839 0.844954i \(-0.320372\pi\)
0.534839 + 0.844954i \(0.320372\pi\)
\(608\) 22.6935 8.07375i 0.920342 0.327434i
\(609\) −9.30744 + 19.0991i −0.377156 + 0.773934i
\(610\) 0.0553170 + 1.90091i 0.00223972 + 0.0769658i
\(611\) −40.8943 + 8.13438i −1.65441 + 0.329082i
\(612\) −15.4666 + 5.28683i −0.625202 + 0.213708i
\(613\) 10.0384 + 15.0235i 0.405447 + 0.606794i 0.976863 0.213866i \(-0.0686057\pi\)
−0.571416 + 0.820661i \(0.693606\pi\)
\(614\) 2.57273 + 11.2180i 0.103827 + 0.452720i
\(615\) 3.39281 3.00370i 0.136811 0.121121i
\(616\) 12.3069 3.58727i 0.495860 0.144535i
\(617\) −5.87613 + 2.43397i −0.236564 + 0.0979880i −0.497816 0.867283i \(-0.665865\pi\)
0.261252 + 0.965271i \(0.415865\pi\)
\(618\) 2.35575 + 14.1750i 0.0947621 + 0.570201i
\(619\) −20.4512 4.06799i −0.822002 0.163506i −0.233867 0.972269i \(-0.575138\pi\)
−0.588136 + 0.808762i \(0.700138\pi\)
\(620\) −2.47511 + 1.87081i −0.0994030 + 0.0751334i
\(621\) 27.6777 + 11.0105i 1.11067 + 0.441837i
\(622\) −3.55943 + 9.35396i −0.142720 + 0.375060i
\(623\) 11.5673 11.5673i 0.463434 0.463434i
\(624\) −31.2075 + 34.8870i −1.24930 + 1.39660i
\(625\) −16.5853 16.5853i −0.663413 0.663413i
\(626\) 11.8635 5.32343i 0.474162 0.212767i
\(627\) −12.8057 + 7.47371i −0.511408 + 0.298471i
\(628\) −1.27197 4.88887i −0.0507571 0.195087i
\(629\) −1.36495 + 6.86207i −0.0544241 + 0.273609i
\(630\) −2.70797 + 1.46754i −0.107888 + 0.0584681i
\(631\) 6.73460 + 16.2588i 0.268100 + 0.647251i 0.999394 0.0348118i \(-0.0110832\pi\)
−0.731294 + 0.682063i \(0.761083\pi\)
\(632\) 3.53867 0.309627i 0.140761 0.0123163i
\(633\) 26.1023 23.1088i 1.03747 0.918491i
\(634\) −12.6883 + 20.2400i −0.503915 + 0.803835i
\(635\) −3.37944 + 2.25807i −0.134109 + 0.0896088i
\(636\) 11.3895 27.2979i 0.451623 1.08243i
\(637\) 2.52784 + 12.7083i 0.100157 + 0.503521i
\(638\) 11.2528 + 10.6164i 0.445501 + 0.420306i
\(639\) 9.34624 + 11.9464i 0.369732 + 0.472591i
\(640\) −0.0265760 3.64328i −0.00105051 0.144013i
\(641\) 28.1848i 1.11323i −0.830769 0.556617i \(-0.812099\pi\)
0.830769 0.556617i \(-0.187901\pi\)
\(642\) 24.5039 9.25231i 0.967093 0.365160i
\(643\) 19.4913 3.87706i 0.768661 0.152896i 0.204843 0.978795i \(-0.434332\pi\)
0.563819 + 0.825899i \(0.309332\pi\)
\(644\) −1.50301 25.8029i −0.0592271 1.01678i
\(645\) −0.209326 + 0.0285585i −0.00824220 + 0.00112449i
\(646\) −13.8991 8.71321i −0.546854 0.342817i
\(647\) −6.99175 2.89608i −0.274874 0.113856i 0.240988 0.970528i \(-0.422528\pi\)
−0.515862 + 0.856671i \(0.672528\pi\)
\(648\) 3.94870 25.1477i 0.155120 0.987896i
\(649\) −6.36188 + 2.63518i −0.249726 + 0.103440i
\(650\) 7.78831 46.1297i 0.305483 1.80936i
\(651\) 14.9763 + 11.3804i 0.586968 + 0.446035i
\(652\) −3.83591 + 0.998015i −0.150226 + 0.0390853i
\(653\) 8.08356 12.0979i 0.316334 0.473428i −0.638895 0.769294i \(-0.720608\pi\)
0.955229 + 0.295866i \(0.0956082\pi\)
\(654\) 40.8024 + 1.29241i 1.59550 + 0.0505371i
\(655\) 3.66539 3.66539i 0.143219 0.143219i
\(656\) 28.3756 15.8374i 1.10788 0.618346i
\(657\) −10.7318 1.31051i −0.418689 0.0511278i
\(658\) −18.3891 6.99756i −0.716883 0.272793i
\(659\) −17.4476 + 26.1122i −0.679662 + 1.01719i 0.317949 + 0.948108i \(0.397006\pi\)
−0.997611 + 0.0690788i \(0.977994\pi\)
\(660\) 0.431876 + 2.20075i 0.0168107 + 0.0856643i
\(661\) −9.56822 + 48.1027i −0.372161 + 1.87098i 0.108537 + 0.994092i \(0.465383\pi\)
−0.480698 + 0.876886i \(0.659617\pi\)
\(662\) −25.4218 35.7497i −0.988047 1.38945i
\(663\) 31.8200 + 1.93565i 1.23579 + 0.0751742i
\(664\) −35.4331 + 10.3282i −1.37507 + 0.400811i
\(665\) −2.85591 1.18296i −0.110747 0.0458730i
\(666\) −8.46255 6.86392i −0.327917 0.265972i
\(667\) 25.9355 17.3295i 1.00423 0.671003i
\(668\) −16.1074 5.59856i −0.623213 0.216615i
\(669\) 11.1441 42.3852i 0.430857 1.63871i
\(670\) 4.55122 0.132441i 0.175829 0.00511665i
\(671\) 8.39500i 0.324085i
\(672\) −21.2215 + 6.12655i −0.818638 + 0.236337i
\(673\) 15.6745i 0.604209i −0.953275 0.302104i \(-0.902311\pi\)
0.953275 0.302104i \(-0.0976891\pi\)
\(674\) 1.13543 + 39.0180i 0.0437352 + 1.50292i
\(675\) 10.0662 + 23.3658i 0.387448 + 0.899351i
\(676\) 58.7670 28.4517i 2.26027 1.09430i
\(677\) 30.4472 20.3442i 1.17018 0.781889i 0.190349 0.981716i \(-0.439038\pi\)
0.979831 + 0.199827i \(0.0640380\pi\)
\(678\) −1.32679 0.307880i −0.0509549 0.0118240i
\(679\) 36.1054 + 14.9553i 1.38560 + 0.573933i
\(680\) −1.93513 + 1.55314i −0.0742090 + 0.0595602i
\(681\) 3.08647 50.7384i 0.118274 1.94430i
\(682\) 11.1618 7.93722i 0.427408 0.303932i
\(683\) −3.40112 + 17.0986i −0.130140 + 0.654259i 0.859552 + 0.511048i \(0.170743\pi\)
−0.989692 + 0.143211i \(0.954257\pi\)
\(684\) 22.0981 12.8209i 0.844941 0.490220i
\(685\) −3.83949 + 5.74621i −0.146700 + 0.219551i
\(686\) −10.1116 + 26.5726i −0.386062 + 1.01455i
\(687\) −5.42180 + 1.86888i −0.206855 + 0.0713022i
\(688\) −1.51021 0.121047i −0.0575763 0.00461489i
\(689\) −40.7919 + 40.7919i −1.55405 + 1.55405i
\(690\) 4.51967 + 0.143160i 0.172061 + 0.00544999i
\(691\) −12.1543 + 18.1901i −0.462370 + 0.691985i −0.987248 0.159193i \(-0.949111\pi\)
0.524878 + 0.851177i \(0.324111\pi\)
\(692\) 9.26887 15.7881i 0.352350 0.600174i
\(693\) 12.1375 6.12787i 0.461066 0.232779i
\(694\) 45.4512 + 7.67374i 1.72530 + 0.291291i
\(695\) −3.51501 + 1.45597i −0.133332 + 0.0552279i
\(696\) −19.3422 18.3426i −0.733164 0.695273i
\(697\) −20.4469 8.46937i −0.774481 0.320800i
\(698\) −3.95423 + 6.30771i −0.149670 + 0.238750i
\(699\) −5.85229 42.8958i −0.221354 1.62247i
\(700\) 14.6760 16.4915i 0.554700 0.623319i
\(701\) 24.9143 4.95577i 0.941001 0.187177i 0.299324 0.954152i \(-0.403239\pi\)
0.641677 + 0.766975i \(0.278239\pi\)
\(702\) −25.7754 + 42.4325i −0.972829 + 1.60151i
\(703\) 10.9357i 0.412448i
\(704\) −0.350551 + 16.0796i −0.0132119 + 0.606022i
\(705\) 1.50797 3.09440i 0.0567936 0.116542i
\(706\) −2.40284 + 2.54688i −0.0904320 + 0.0958529i
\(707\) 7.70125 + 38.7168i 0.289635 + 1.45610i
\(708\) 10.9736 4.51238i 0.412413 0.169586i
\(709\) 20.7869 13.8894i 0.780669 0.521626i −0.100211 0.994966i \(-0.531952\pi\)
0.880880 + 0.473340i \(0.156952\pi\)
\(710\) 1.95095 + 1.22303i 0.0732179 + 0.0458995i
\(711\) 3.62997 1.00926i 0.136135 0.0378503i
\(712\) 9.47723 + 18.2052i 0.355174 + 0.682267i
\(713\) −10.5679 25.5131i −0.395769 0.955472i
\(714\) 12.2371 + 8.74935i 0.457962 + 0.327436i
\(715\) 0.853343 4.29005i 0.0319132 0.160439i
\(716\) 2.51964 4.29183i 0.0941635 0.160393i
\(717\) 12.6129 + 21.6113i 0.471037 + 0.807088i
\(718\) 16.4020 + 36.5526i 0.612116 + 1.36413i
\(719\) 13.1645 + 13.1645i 0.490955 + 0.490955i 0.908607 0.417652i \(-0.137147\pi\)
−0.417652 + 0.908607i \(0.637147\pi\)
\(720\) −0.734395 3.79396i −0.0273693 0.141392i
\(721\) 9.35130 9.35130i 0.348261 0.348261i
\(722\) −1.14915 0.437281i −0.0427668 0.0162739i
\(723\) −26.9854 + 15.7494i −1.00360 + 0.585726i
\(724\) −0.525299 + 3.77773i −0.0195226 + 0.140398i
\(725\) 26.1300 + 5.19758i 0.970443 + 0.193033i
\(726\) 2.79423 + 16.8134i 0.103704 + 0.624004i
\(727\) 11.5882 4.80000i 0.429783 0.178022i −0.157296 0.987552i \(-0.550278\pi\)
0.587079 + 0.809529i \(0.300278\pi\)
\(728\) 42.8235 + 4.68953i 1.58715 + 0.173805i
\(729\) −0.760276 26.9893i −0.0281584 0.999603i
\(730\) −1.59974 + 0.366885i −0.0592091 + 0.0135790i
\(731\) 0.573255 + 0.857937i 0.0212026 + 0.0317320i
\(732\) −0.0372070 + 14.4651i −0.00137521 + 0.534646i
\(733\) −21.4455 + 4.26578i −0.792109 + 0.157560i −0.574531 0.818483i \(-0.694816\pi\)
−0.217578 + 0.976043i \(0.569816\pi\)
\(734\) −20.8320 + 0.606215i −0.768923 + 0.0223758i
\(735\) −0.961615 0.468618i −0.0354697 0.0172852i
\(736\) 31.4423 + 7.93614i 1.15898 + 0.292530i
\(737\) −20.0995 −0.740375
\(738\) 26.5173 22.0188i 0.976116 0.810523i
\(739\) 0.815466 + 4.09963i 0.0299974 + 0.150807i 0.992881 0.119109i \(-0.0380039\pi\)
−0.962884 + 0.269916i \(0.913004\pi\)
\(740\) −1.56244 0.543069i −0.0574364 0.0199636i
\(741\) −49.3700 + 6.73558i −1.81365 + 0.247438i
\(742\) −26.5336 + 6.08521i −0.974078 + 0.223395i
\(743\) −18.9980 + 45.8653i −0.696971 + 1.68264i 0.0332705 + 0.999446i \(0.489408\pi\)
−0.730241 + 0.683190i \(0.760592\pi\)
\(744\) −19.2677 + 13.6269i −0.706388 + 0.499586i
\(745\) −0.212716 0.513541i −0.00779330 0.0188147i
\(746\) −28.1528 + 20.0196i −1.03075 + 0.732971i
\(747\) −34.9453 + 17.6429i −1.27858 + 0.645519i
\(748\) 8.73832 6.60483i 0.319505 0.241497i
\(749\) −20.0434 13.3926i −0.732371 0.489355i
\(750\) 5.34239 + 5.69190i 0.195076 + 0.207839i
\(751\) 5.25394 + 5.25394i 0.191719 + 0.191719i 0.796439 0.604719i \(-0.206715\pi\)
−0.604719 + 0.796439i \(0.706715\pi\)
\(752\) 15.3108 19.3641i 0.558326 0.706137i
\(753\) −5.92176 17.1796i −0.215801 0.626060i
\(754\) 21.2842 + 47.4328i 0.775124 + 1.72740i
\(755\) 1.67243 + 1.11748i 0.0608659 + 0.0406693i
\(756\) −20.9409 + 10.5049i −0.761612 + 0.382060i
\(757\) 44.0623 + 8.76455i 1.60147 + 0.318553i 0.913392 0.407081i \(-0.133453\pi\)
0.688081 + 0.725634i \(0.258453\pi\)
\(758\) 1.60418 + 0.270841i 0.0582664 + 0.00983741i
\(759\) −19.9249 1.21205i −0.723229 0.0439948i
\(760\) 2.49294 2.97103i 0.0904285 0.107771i
\(761\) 1.54727 3.73543i 0.0560884 0.135409i −0.893351 0.449359i \(-0.851652\pi\)
0.949440 + 0.313950i \(0.101652\pi\)
\(762\) −26.2361 + 16.3533i −0.950435 + 0.592417i
\(763\) −20.8733 31.2391i −0.755664 1.13093i
\(764\) 0.305268 + 5.24068i 0.0110442 + 0.189601i
\(765\) −1.71664 + 1.99493i −0.0620654 + 0.0721268i
\(766\) −7.02159 + 7.44250i −0.253700 + 0.268908i
\(767\) −23.1411 −0.835576
\(768\) 0.675288 27.7046i 0.0243674 0.999703i
\(769\) −29.6799 −1.07029 −0.535143 0.844762i \(-0.679742\pi\)
−0.535143 + 0.844762i \(0.679742\pi\)
\(770\) 1.41645 1.50136i 0.0510453 0.0541052i
\(771\) −20.4949 5.38862i −0.738106 0.194066i
\(772\) −0.576796 9.90212i −0.0207593 0.356385i
\(773\) −18.6735 27.9468i −0.671638 1.00518i