Properties

Label 63.2.g.b.4.1
Level $63$
Weight $2$
Character 63.4
Analytic conductor $0.503$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 63.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.503057532734\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: 10.0.991381711347.1
Defining polynomial: \(x^{10} - 2 x^{9} + 9 x^{8} - 8 x^{7} + 40 x^{6} - 36 x^{5} + 90 x^{4} - 3 x^{3} + 36 x^{2} - 9 x + 9\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.1
Root \(-1.02682 + 1.77851i\) of defining polynomial
Character \(\chi\) \(=\) 63.4
Dual form 63.2.g.b.16.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +O(q^{10})\) \(q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +(0.150168 - 0.260099i) q^{10} +1.66404 q^{11} +(1.34983 - 3.59574i) q^{12} +(0.0999454 - 0.173111i) q^{13} +(4.62094 + 2.85818i) q^{14} +(-0.160862 - 0.195670i) q^{15} +(1.75890 - 3.04650i) q^{16} +(3.13555 - 5.43093i) q^{17} +(-4.63897 - 4.05426i) q^{18} +(3.45879 + 5.99080i) q^{19} +(0.162147 + 0.280847i) q^{20} +(3.62652 - 2.80149i) q^{21} +(-1.70867 + 2.95951i) q^{22} -6.18184 q^{23} +(0.491216 + 0.597507i) q^{24} -4.97861 q^{25} +(0.205252 + 0.355508i) q^{26} +(-4.57630 + 2.46119i) q^{27} +(-5.16746 + 2.77798i) q^{28} +(-2.46757 - 4.27396i) q^{29} +(0.513178 - 0.0851766i) q^{30} +(1.25890 + 2.18047i) q^{31} +(4.05873 + 7.02993i) q^{32} +(1.83035 + 2.22641i) q^{33} +(6.43931 + 11.1532i) q^{34} +(-0.0117348 + 0.386752i) q^{35} +(6.29567 - 2.14910i) q^{36} +(-3.50023 - 6.06257i) q^{37} -14.2062 q^{38} +(0.341548 - 0.0566898i) q^{39} -0.0653107 q^{40} +(1.15895 - 2.00736i) q^{41} +(1.25867 + 9.32643i) q^{42} +(-0.940993 - 1.62985i) q^{43} +(-1.84497 - 3.19558i) q^{44} +(0.0848576 - 0.430452i) q^{45} +(6.34765 - 10.9944i) q^{46} +(0.905887 - 1.56904i) q^{47} +(6.01077 - 0.997660i) q^{48} +(-6.98712 - 0.424396i) q^{49} +(5.11215 - 8.85451i) q^{50} +(10.7153 - 1.77851i) q^{51} -0.443250 q^{52} +(-2.67307 + 4.62989i) q^{53} +(0.321798 - 10.6662i) q^{54} -0.243359 q^{55} +(0.0358339 - 1.18100i) q^{56} +(-4.21093 + 11.2172i) q^{57} +10.1350 q^{58} +(2.28549 + 3.95859i) q^{59} +(-0.197407 + 0.525861i) q^{60} +(0.339138 - 0.587404i) q^{61} -5.17066 q^{62} +(7.73724 + 1.77064i) q^{63} -9.63481 q^{64} +(-0.0146166 + 0.0253167i) q^{65} +(-5.83914 + 0.969173i) q^{66} +(3.09342 + 5.35796i) q^{67} -13.9059 q^{68} +(-6.79968 - 8.27101i) q^{69} +(-0.675792 - 0.417996i) q^{70} +1.27749 q^{71} +(-0.259125 + 1.31445i) q^{72} +(-0.778603 + 1.34858i) q^{73} +14.3765 q^{74} +(-5.47620 - 6.66115i) q^{75} +(7.66972 - 13.2843i) q^{76} +(0.133523 - 4.40061i) q^{77} +(-0.249886 + 0.665657i) q^{78} +(-6.39787 + 11.0814i) q^{79} +(-0.257231 + 0.445537i) q^{80} +(-8.32664 - 3.41570i) q^{81} +(2.38008 + 4.12241i) q^{82} +(3.75687 + 6.50709i) q^{83} +(-9.40074 - 3.85820i) q^{84} +(-0.458561 + 0.794251i) q^{85} +3.86493 q^{86} +(3.00417 - 8.00262i) q^{87} +0.743131 q^{88} +(4.53394 + 7.85301i) q^{89} +(0.678430 + 0.592918i) q^{90} +(-0.449777 - 0.278199i) q^{91} +(6.85398 + 11.8714i) q^{92} +(-1.53266 + 4.08275i) q^{93} +(1.86037 + 3.22226i) q^{94} +(-0.505833 - 0.876128i) q^{95} +(-4.94134 + 13.1629i) q^{96} +(-3.98514 - 6.90246i) q^{97} +(7.92933 - 11.9909i) q^{98} +(-0.965543 + 4.89786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} + O(q^{10}) \) \( 10q + 2q^{2} + 2q^{3} - 4q^{4} - 8q^{5} - 2q^{6} - q^{7} - 6q^{8} - 4q^{9} - 7q^{10} - 8q^{11} + 22q^{12} - 8q^{13} + 16q^{14} - 19q^{15} + 2q^{16} + 12q^{17} - 2q^{18} + q^{19} + 5q^{20} - 2q^{21} - q^{22} - 6q^{23} + 3q^{24} + 2q^{25} + 11q^{26} - 7q^{27} - 2q^{28} + 7q^{29} - 26q^{30} - 3q^{31} - 2q^{32} - q^{33} + 3q^{34} + 5q^{35} + 34q^{36} - 40q^{38} + 20q^{39} + 6q^{40} + 5q^{41} + 32q^{42} - 7q^{43} - 10q^{44} - q^{45} + 3q^{46} + 27q^{47} - 5q^{48} + 25q^{49} + 19q^{50} + 24q^{51} + 20q^{52} - 21q^{53} - 53q^{54} + 4q^{55} - 45q^{56} - 4q^{57} + 20q^{58} + 30q^{59} - 41q^{60} - 14q^{61} - 12q^{62} - 35q^{63} - 50q^{64} - 11q^{65} - 41q^{66} - 2q^{67} - 54q^{68} + 15q^{69} - 29q^{70} - 6q^{71} + 48q^{72} + 15q^{73} + 72q^{74} + 31q^{75} + 5q^{76} - 31q^{77} - 20q^{78} - 4q^{79} + 20q^{80} + 8q^{81} - 5q^{82} + 9q^{83} + 2q^{84} - 6q^{85} + 16q^{86} + 32q^{87} + 36q^{88} + 28q^{89} + 28q^{90} - 4q^{91} + 27q^{92} - 12q^{93} - 3q^{94} - 14q^{95} - q^{96} - 12q^{97} + 59q^{98} + 35q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.02682 + 1.77851i −0.726073 + 1.25760i 0.232458 + 0.972607i \(0.425323\pi\)
−0.958531 + 0.284989i \(0.908010\pi\)
\(3\) 1.09995 + 1.33795i 0.635054 + 0.772468i
\(4\) −1.10873 1.92038i −0.554365 0.960188i
\(5\) −0.146246 −0.0654030 −0.0327015 0.999465i \(-0.510411\pi\)
−0.0327015 + 0.999465i \(0.510411\pi\)
\(6\) −3.50901 + 0.582422i −1.43255 + 0.237773i
\(7\) 0.0802402 2.64453i 0.0303280 0.999540i
\(8\) 0.446582 0.157891
\(9\) −0.580240 + 2.94335i −0.193413 + 0.981117i
\(10\) 0.150168 0.260099i 0.0474874 0.0822506i
\(11\) 1.66404 0.501727 0.250864 0.968022i \(-0.419285\pi\)
0.250864 + 0.968022i \(0.419285\pi\)
\(12\) 1.34983 3.59574i 0.389663 1.03800i
\(13\) 0.0999454 0.173111i 0.0277199 0.0480122i −0.851833 0.523814i \(-0.824509\pi\)
0.879553 + 0.475802i \(0.157842\pi\)
\(14\) 4.62094 + 2.85818i 1.23500 + 0.763880i
\(15\) −0.160862 0.195670i −0.0415345 0.0505218i
\(16\) 1.75890 3.04650i 0.439724 0.761625i
\(17\) 3.13555 5.43093i 0.760483 1.31720i −0.182119 0.983277i \(-0.558296\pi\)
0.942602 0.333919i \(-0.108371\pi\)
\(18\) −4.63897 4.05426i −1.09342 0.955599i
\(19\) 3.45879 + 5.99080i 0.793500 + 1.37438i 0.923787 + 0.382907i \(0.125077\pi\)
−0.130287 + 0.991476i \(0.541590\pi\)
\(20\) 0.162147 + 0.280847i 0.0362571 + 0.0627992i
\(21\) 3.62652 2.80149i 0.791372 0.611334i
\(22\) −1.70867 + 2.95951i −0.364291 + 0.630970i
\(23\) −6.18184 −1.28900 −0.644501 0.764604i \(-0.722935\pi\)
−0.644501 + 0.764604i \(0.722935\pi\)
\(24\) 0.491216 + 0.597507i 0.100269 + 0.121966i
\(25\) −4.97861 −0.995722
\(26\) 0.205252 + 0.355508i 0.0402533 + 0.0697208i
\(27\) −4.57630 + 2.46119i −0.880710 + 0.473657i
\(28\) −5.16746 + 2.77798i −0.976559 + 0.524989i
\(29\) −2.46757 4.27396i −0.458217 0.793655i 0.540650 0.841248i \(-0.318178\pi\)
−0.998867 + 0.0475930i \(0.984845\pi\)
\(30\) 0.513178 0.0851766i 0.0936930 0.0155511i
\(31\) 1.25890 + 2.18047i 0.226105 + 0.391625i 0.956650 0.291239i \(-0.0940675\pi\)
−0.730546 + 0.682864i \(0.760734\pi\)
\(32\) 4.05873 + 7.02993i 0.717490 + 1.24273i
\(33\) 1.83035 + 2.22641i 0.318624 + 0.387568i
\(34\) 6.43931 + 11.1532i 1.10433 + 1.91276i
\(35\) −0.0117348 + 0.386752i −0.00198354 + 0.0653730i
\(36\) 6.29567 2.14910i 1.04928 0.358184i
\(37\) −3.50023 6.06257i −0.575434 0.996681i −0.995994 0.0894162i \(-0.971500\pi\)
0.420560 0.907264i \(-0.361833\pi\)
\(38\) −14.2062 −2.30456
\(39\) 0.341548 0.0566898i 0.0546915 0.00907763i
\(40\) −0.0653107 −0.0103265
\(41\) 1.15895 2.00736i 0.180998 0.313498i −0.761223 0.648491i \(-0.775401\pi\)
0.942221 + 0.334993i \(0.108734\pi\)
\(42\) 1.25867 + 9.32643i 0.194217 + 1.43910i
\(43\) −0.940993 1.62985i −0.143500 0.248550i 0.785312 0.619100i \(-0.212502\pi\)
−0.928812 + 0.370550i \(0.879169\pi\)
\(44\) −1.84497 3.19558i −0.278140 0.481752i
\(45\) 0.0848576 0.430452i 0.0126498 0.0641681i
\(46\) 6.34765 10.9944i 0.935910 1.62104i
\(47\) 0.905887 1.56904i 0.132137 0.228868i −0.792363 0.610050i \(-0.791149\pi\)
0.924500 + 0.381181i \(0.124483\pi\)
\(48\) 6.01077 0.997660i 0.867579 0.144000i
\(49\) −6.98712 0.424396i −0.998160 0.0606280i
\(50\) 5.11215 8.85451i 0.722967 1.25222i
\(51\) 10.7153 1.77851i 1.50044 0.249041i
\(52\) −0.443250 −0.0614677
\(53\) −2.67307 + 4.62989i −0.367174 + 0.635964i −0.989123 0.147094i \(-0.953008\pi\)
0.621948 + 0.783058i \(0.286341\pi\)
\(54\) 0.321798 10.6662i 0.0437911 1.45149i
\(55\) −0.243359 −0.0328145
\(56\) 0.0358339 1.18100i 0.00478850 0.157818i
\(57\) −4.21093 + 11.2172i −0.557751 + 1.48576i
\(58\) 10.1350 1.33080
\(59\) 2.28549 + 3.95859i 0.297546 + 0.515364i 0.975574 0.219672i \(-0.0704986\pi\)
−0.678028 + 0.735036i \(0.737165\pi\)
\(60\) −0.197407 + 0.525861i −0.0254851 + 0.0678883i
\(61\) 0.339138 0.587404i 0.0434221 0.0752094i −0.843498 0.537133i \(-0.819507\pi\)
0.886920 + 0.461924i \(0.152841\pi\)
\(62\) −5.17066 −0.656674
\(63\) 7.73724 + 1.77064i 0.974800 + 0.223080i
\(64\) −9.63481 −1.20435
\(65\) −0.0146166 + 0.0253167i −0.00181296 + 0.00314015i
\(66\) −5.83914 + 0.969173i −0.718748 + 0.119297i
\(67\) 3.09342 + 5.35796i 0.377921 + 0.654579i 0.990760 0.135630i \(-0.0433057\pi\)
−0.612838 + 0.790208i \(0.709972\pi\)
\(68\) −13.9059 −1.68634
\(69\) −6.79968 8.27101i −0.818586 0.995713i
\(70\) −0.675792 0.417996i −0.0807726 0.0499600i
\(71\) 1.27749 0.151611 0.0758053 0.997123i \(-0.475847\pi\)
0.0758053 + 0.997123i \(0.475847\pi\)
\(72\) −0.259125 + 1.31445i −0.0305382 + 0.154909i
\(73\) −0.778603 + 1.34858i −0.0911286 + 0.157839i −0.907986 0.419000i \(-0.862381\pi\)
0.816858 + 0.576839i \(0.195714\pi\)
\(74\) 14.3765 1.67123
\(75\) −5.47620 6.66115i −0.632337 0.769164i
\(76\) 7.66972 13.2843i 0.879777 1.52382i
\(77\) 0.133523 4.40061i 0.0152164 0.501496i
\(78\) −0.249886 + 0.665657i −0.0282940 + 0.0753708i
\(79\) −6.39787 + 11.0814i −0.719817 + 1.24676i 0.241255 + 0.970462i \(0.422441\pi\)
−0.961072 + 0.276298i \(0.910892\pi\)
\(80\) −0.257231 + 0.445537i −0.0287593 + 0.0498126i
\(81\) −8.32664 3.41570i −0.925183 0.379522i
\(82\) 2.38008 + 4.12241i 0.262835 + 0.455244i
\(83\) 3.75687 + 6.50709i 0.412370 + 0.714246i 0.995148 0.0983854i \(-0.0313678\pi\)
−0.582778 + 0.812631i \(0.698034\pi\)
\(84\) −9.40074 3.85820i −1.02570 0.420964i
\(85\) −0.458561 + 0.794251i −0.0497379 + 0.0861486i
\(86\) 3.86493 0.416766
\(87\) 3.00417 8.00262i 0.322080 0.857971i
\(88\) 0.743131 0.0792181
\(89\) 4.53394 + 7.85301i 0.480597 + 0.832418i 0.999752 0.0222619i \(-0.00708678\pi\)
−0.519155 + 0.854680i \(0.673753\pi\)
\(90\) 0.678430 + 0.592918i 0.0715128 + 0.0624991i
\(91\) −0.449777 0.278199i −0.0471494 0.0291632i
\(92\) 6.85398 + 11.8714i 0.714577 + 1.23768i
\(93\) −1.53266 + 4.08275i −0.158929 + 0.423361i
\(94\) 1.86037 + 3.22226i 0.191883 + 0.332350i
\(95\) −0.505833 0.876128i −0.0518973 0.0898888i
\(96\) −4.94134 + 13.1629i −0.504323 + 1.34344i
\(97\) −3.98514 6.90246i −0.404630 0.700839i 0.589649 0.807660i \(-0.299266\pi\)
−0.994278 + 0.106821i \(0.965933\pi\)
\(98\) 7.92933 11.9909i 0.800983 1.21126i
\(99\) −0.965543 + 4.89786i −0.0970408 + 0.492253i
\(100\) 5.51993 + 9.56080i 0.551993 + 0.956080i
\(101\) 14.8430 1.47693 0.738467 0.674290i \(-0.235550\pi\)
0.738467 + 0.674290i \(0.235550\pi\)
\(102\) −7.83959 + 20.8834i −0.776235 + 2.06777i
\(103\) −0.203948 −0.0200956 −0.0100478 0.999950i \(-0.503198\pi\)
−0.0100478 + 0.999950i \(0.503198\pi\)
\(104\) 0.0446339 0.0773081i 0.00437671 0.00758068i
\(105\) −0.530363 + 0.409705i −0.0517582 + 0.0399831i
\(106\) −5.48953 9.50815i −0.533191 0.923513i
\(107\) 3.48444 + 6.03524i 0.336854 + 0.583448i 0.983839 0.179054i \(-0.0573038\pi\)
−0.646985 + 0.762503i \(0.723970\pi\)
\(108\) 9.80029 + 6.05942i 0.943033 + 0.583068i
\(109\) 3.33058 5.76874i 0.319012 0.552545i −0.661270 0.750148i \(-0.729982\pi\)
0.980282 + 0.197603i \(0.0633157\pi\)
\(110\) 0.249886 0.432816i 0.0238257 0.0412674i
\(111\) 4.26138 11.3516i 0.404472 1.07745i
\(112\) −7.91544 4.89592i −0.747939 0.462621i
\(113\) −0.0193234 + 0.0334691i −0.00181779 + 0.00314851i −0.866933 0.498425i \(-0.833912\pi\)
0.865115 + 0.501573i \(0.167245\pi\)
\(114\) −15.6261 19.0073i −1.46352 1.78020i
\(115\) 0.904067 0.0843047
\(116\) −5.47174 + 9.47733i −0.508038 + 0.879948i
\(117\) 0.451533 + 0.394620i 0.0417442 + 0.0364826i
\(118\) −9.38718 −0.864160
\(119\) −14.1107 8.72785i −1.29353 0.800081i
\(120\) −0.0718382 0.0873827i −0.00655790 0.00797692i
\(121\) −8.23097 −0.748270
\(122\) 0.696469 + 1.20632i 0.0630553 + 0.109215i
\(123\) 3.96054 0.657366i 0.357110 0.0592727i
\(124\) 2.79155 4.83511i 0.250689 0.434206i
\(125\) 1.45933 0.130526
\(126\) −11.0939 + 11.9426i −0.988320 + 1.06393i
\(127\) 13.4788 1.19605 0.598027 0.801476i \(-0.295952\pi\)
0.598027 + 0.801476i \(0.295952\pi\)
\(128\) 1.77577 3.07572i 0.156957 0.271858i
\(129\) 1.14562 3.05175i 0.100866 0.268692i
\(130\) −0.0300173 0.0519914i −0.00263269 0.00455995i
\(131\) −19.8333 −1.73284 −0.866422 0.499312i \(-0.833586\pi\)
−0.866422 + 0.499312i \(0.833586\pi\)
\(132\) 2.24617 5.98345i 0.195504 0.520793i
\(133\) 16.1204 8.66618i 1.39782 0.751453i
\(134\) −12.7056 −1.09759
\(135\) 0.669264 0.359939i 0.0576011 0.0309786i
\(136\) 1.40028 2.42536i 0.120073 0.207973i
\(137\) −6.44509 −0.550642 −0.275321 0.961352i \(-0.588784\pi\)
−0.275321 + 0.961352i \(0.588784\pi\)
\(138\) 21.6921 3.60043i 1.84656 0.306489i
\(139\) 6.26527 10.8518i 0.531413 0.920435i −0.467914 0.883774i \(-0.654994\pi\)
0.999328 0.0366611i \(-0.0116722\pi\)
\(140\) 0.755719 0.406268i 0.0638699 0.0343359i
\(141\) 3.09573 0.513826i 0.260708 0.0432720i
\(142\) −1.31176 + 2.27203i −0.110080 + 0.190665i
\(143\) 0.166313 0.288063i 0.0139078 0.0240890i
\(144\) 7.94634 + 6.94476i 0.662195 + 0.578730i
\(145\) 0.360872 + 0.625048i 0.0299688 + 0.0519074i
\(146\) −1.59897 2.76950i −0.132332 0.229206i
\(147\) −7.11763 9.81526i −0.587052 0.809549i
\(148\) −7.76161 + 13.4435i −0.638000 + 1.10505i
\(149\) 17.7673 1.45555 0.727776 0.685815i \(-0.240554\pi\)
0.727776 + 0.685815i \(0.240554\pi\)
\(150\) 17.4700 2.89965i 1.42642 0.236756i
\(151\) 8.46599 0.688953 0.344476 0.938795i \(-0.388056\pi\)
0.344476 + 0.938795i \(0.388056\pi\)
\(152\) 1.54463 + 2.67538i 0.125286 + 0.217002i
\(153\) 14.1658 + 12.3803i 1.14524 + 1.00089i
\(154\) 7.68942 + 4.75612i 0.619631 + 0.383259i
\(155\) −0.184108 0.318885i −0.0147879 0.0256135i
\(156\) −0.487550 0.593047i −0.0390353 0.0474818i
\(157\) −2.84968 4.93579i −0.227429 0.393919i 0.729616 0.683857i \(-0.239699\pi\)
−0.957045 + 0.289938i \(0.906365\pi\)
\(158\) −13.1390 22.7573i −1.04528 1.81048i
\(159\) −9.13481 + 1.51618i −0.724437 + 0.120241i
\(160\) −0.593572 1.02810i −0.0469260 0.0812782i
\(161\) −0.496032 + 16.3481i −0.0390928 + 1.28841i
\(162\) 14.6248 11.3017i 1.14904 0.887944i
\(163\) −1.06267 1.84060i −0.0832349 0.144167i 0.821403 0.570349i \(-0.193192\pi\)
−0.904638 + 0.426181i \(0.859859\pi\)
\(164\) −5.13986 −0.401355
\(165\) −0.267681 0.325603i −0.0208390 0.0253481i
\(166\) −15.4306 −1.19764
\(167\) −5.78723 + 10.0238i −0.447829 + 0.775663i −0.998244 0.0592278i \(-0.981136\pi\)
0.550415 + 0.834891i \(0.314470\pi\)
\(168\) 1.61954 1.25109i 0.124950 0.0965240i
\(169\) 6.48002 + 11.2237i 0.498463 + 0.863364i
\(170\) −0.941721 1.63111i −0.0722267 0.125100i
\(171\) −19.6400 + 6.70433i −1.50190 + 0.512693i
\(172\) −2.08661 + 3.61412i −0.159103 + 0.275574i
\(173\) 7.95546 13.7793i 0.604842 1.04762i −0.387234 0.921981i \(-0.626570\pi\)
0.992076 0.125636i \(-0.0400971\pi\)
\(174\) 11.1480 + 13.5602i 0.845127 + 1.02800i
\(175\) −0.399485 + 13.1661i −0.0301982 + 0.995264i
\(176\) 2.92688 5.06950i 0.220622 0.382128i
\(177\) −2.78249 + 7.41212i −0.209145 + 0.557129i
\(178\) −18.6222 −1.39579
\(179\) 3.87665 6.71456i 0.289755 0.501870i −0.683996 0.729485i \(-0.739760\pi\)
0.973751 + 0.227615i \(0.0730929\pi\)
\(180\) −0.920714 + 0.314297i −0.0686260 + 0.0234263i
\(181\) −12.1618 −0.903982 −0.451991 0.892022i \(-0.649286\pi\)
−0.451991 + 0.892022i \(0.649286\pi\)
\(182\) 0.956621 0.514271i 0.0709095 0.0381203i
\(183\) 1.15895 0.192362i 0.0856722 0.0142198i
\(184\) −2.76070 −0.203521
\(185\) 0.511893 + 0.886625i 0.0376351 + 0.0651860i
\(186\) −5.68744 6.91810i −0.417023 0.507260i
\(187\) 5.21769 9.03730i 0.381555 0.660873i
\(188\) −4.01754 −0.293009
\(189\) 6.14150 + 12.2997i 0.446729 + 0.894670i
\(190\) 2.07760 0.150725
\(191\) 2.48383 4.30211i 0.179723 0.311290i −0.762062 0.647504i \(-0.775813\pi\)
0.941786 + 0.336214i \(0.109146\pi\)
\(192\) −10.5978 12.8909i −0.764828 0.930322i
\(193\) 7.45221 + 12.9076i 0.536422 + 0.929110i 0.999093 + 0.0425800i \(0.0135577\pi\)
−0.462671 + 0.886530i \(0.653109\pi\)
\(194\) 16.3681 1.17516
\(195\) −0.0499500 + 0.00829064i −0.00357699 + 0.000593705i
\(196\) 6.93183 + 13.8884i 0.495131 + 0.992031i
\(197\) −21.2608 −1.51477 −0.757386 0.652968i \(-0.773524\pi\)
−0.757386 + 0.652968i \(0.773524\pi\)
\(198\) −7.71944 6.74646i −0.548597 0.479450i
\(199\) −9.97208 + 17.2722i −0.706902 + 1.22439i 0.259098 + 0.965851i \(0.416575\pi\)
−0.966001 + 0.258540i \(0.916759\pi\)
\(200\) −2.22336 −0.157215
\(201\) −3.76611 + 10.0323i −0.265641 + 0.707625i
\(202\) −15.2411 + 26.3984i −1.07236 + 1.85739i
\(203\) −11.5006 + 6.18264i −0.807186 + 0.433936i
\(204\) −15.2957 18.6055i −1.07092 1.30264i
\(205\) −0.169492 + 0.293568i −0.0118378 + 0.0205037i
\(206\) 0.209419 0.362724i 0.0145909 0.0252722i
\(207\) 3.58695 18.1953i 0.249310 1.26466i
\(208\) −0.351587 0.608967i −0.0243782 0.0422243i
\(209\) 5.75556 + 9.96893i 0.398121 + 0.689565i
\(210\) −0.184075 1.36395i −0.0127024 0.0941215i
\(211\) 11.7569 20.3636i 0.809381 1.40189i −0.103912 0.994587i \(-0.533136\pi\)
0.913293 0.407303i \(-0.133531\pi\)
\(212\) 11.8548 0.814193
\(213\) 1.40517 + 1.70923i 0.0962808 + 0.117114i
\(214\) −14.3116 −0.978323
\(215\) 0.137616 + 0.238358i 0.00938535 + 0.0162559i
\(216\) −2.04370 + 1.09912i −0.139056 + 0.0747860i
\(217\) 5.86735 3.15424i 0.398302 0.214123i
\(218\) 6.83983 + 11.8469i 0.463252 + 0.802376i
\(219\) −2.66076 + 0.441629i −0.179797 + 0.0298425i
\(220\) 0.269819 + 0.467340i 0.0181912 + 0.0315081i
\(221\) −0.626768 1.08559i −0.0421610 0.0730250i
\(222\) 15.8133 + 19.2350i 1.06132 + 1.29097i
\(223\) 2.03052 + 3.51696i 0.135974 + 0.235513i 0.925969 0.377600i \(-0.123250\pi\)
−0.789995 + 0.613113i \(0.789917\pi\)
\(224\) 18.9166 10.1694i 1.26392 0.679470i
\(225\) 2.88879 14.6538i 0.192586 0.976921i
\(226\) −0.0396834 0.0687336i −0.00263970 0.00457209i
\(227\) −3.85285 −0.255723 −0.127861 0.991792i \(-0.540811\pi\)
−0.127861 + 0.991792i \(0.540811\pi\)
\(228\) 26.2101 4.35032i 1.73581 0.288107i
\(229\) 13.1162 0.866746 0.433373 0.901215i \(-0.357323\pi\)
0.433373 + 0.901215i \(0.357323\pi\)
\(230\) −0.928316 + 1.60789i −0.0612113 + 0.106021i
\(231\) 6.03468 4.66179i 0.397053 0.306723i
\(232\) −1.10197 1.90868i −0.0723481 0.125311i
\(233\) −8.75115 15.1574i −0.573307 0.992997i −0.996223 0.0868284i \(-0.972327\pi\)
0.422916 0.906169i \(-0.361007\pi\)
\(234\) −1.16548 + 0.397850i −0.0761898 + 0.0260083i
\(235\) −0.132482 + 0.229466i −0.00864218 + 0.0149687i
\(236\) 5.06798 8.77801i 0.329898 0.571400i
\(237\) −21.8638 + 3.62892i −1.42020 + 0.235724i
\(238\) 30.0117 16.1340i 1.94537 1.04581i
\(239\) 3.65857 6.33683i 0.236653 0.409895i −0.723099 0.690745i \(-0.757283\pi\)
0.959752 + 0.280849i \(0.0906161\pi\)
\(240\) −0.879049 + 0.145903i −0.0567423 + 0.00941803i
\(241\) 6.23107 0.401378 0.200689 0.979655i \(-0.435682\pi\)
0.200689 + 0.979655i \(0.435682\pi\)
\(242\) 8.45174 14.6389i 0.543299 0.941021i
\(243\) −4.58880 14.8977i −0.294372 0.955691i
\(244\) −1.50405 −0.0962868
\(245\) 1.02184 + 0.0620661i 0.0652827 + 0.00396526i
\(246\) −2.89764 + 7.71886i −0.184747 + 0.492137i
\(247\) 1.38276 0.0879829
\(248\) 0.562201 + 0.973761i 0.0356998 + 0.0618339i
\(249\) −4.57383 + 12.1840i −0.289855 + 0.772127i
\(250\) −1.49847 + 2.59543i −0.0947717 + 0.164149i
\(251\) 5.65283 0.356803 0.178402 0.983958i \(-0.442907\pi\)
0.178402 + 0.983958i \(0.442907\pi\)
\(252\) −5.17821 16.8216i −0.326196 1.05966i
\(253\) −10.2868 −0.646727
\(254\) −13.8404 + 23.9722i −0.868422 + 1.50415i
\(255\) −1.56706 + 0.260099i −0.0981333 + 0.0162880i
\(256\) −5.98801 10.3715i −0.374250 0.648221i
\(257\) 11.8016 0.736166 0.368083 0.929793i \(-0.380014\pi\)
0.368083 + 0.929793i \(0.380014\pi\)
\(258\) 4.25121 + 5.17110i 0.264669 + 0.321939i
\(259\) −16.3135 + 8.77001i −1.01367 + 0.544942i
\(260\) 0.0648233 0.00402017
\(261\) 14.0116 4.78301i 0.867293 0.296061i
\(262\) 20.3653 35.2737i 1.25817 2.17922i
\(263\) −22.2401 −1.37138 −0.685691 0.727893i \(-0.740500\pi\)
−0.685691 + 0.727893i \(0.740500\pi\)
\(264\) 0.817404 + 0.994275i 0.0503077 + 0.0611934i
\(265\) 0.390925 0.677101i 0.0240143 0.0415940i
\(266\) −1.13991 + 37.5689i −0.0698925 + 2.30350i
\(267\) −5.51988 + 14.7041i −0.337811 + 0.899876i
\(268\) 6.85953 11.8810i 0.419012 0.725750i
\(269\) −1.19442 + 2.06880i −0.0728251 + 0.126137i −0.900138 0.435604i \(-0.856535\pi\)
0.827313 + 0.561741i \(0.189868\pi\)
\(270\) −0.0470615 + 1.55989i −0.00286407 + 0.0949316i
\(271\) −11.6129 20.1142i −0.705435 1.22185i −0.966534 0.256537i \(-0.917419\pi\)
0.261100 0.965312i \(-0.415915\pi\)
\(272\) −11.0302 19.1049i −0.668806 1.15841i
\(273\) −0.122512 0.907785i −0.00741478 0.0549417i
\(274\) 6.61797 11.4627i 0.399806 0.692484i
\(275\) −8.28461 −0.499581
\(276\) −8.34444 + 22.2283i −0.502276 + 1.33798i
\(277\) −4.61800 −0.277469 −0.138734 0.990330i \(-0.544303\pi\)
−0.138734 + 0.990330i \(0.544303\pi\)
\(278\) 12.8666 + 22.2857i 0.771690 + 1.33661i
\(279\) −7.14837 + 2.44018i −0.427962 + 0.146090i
\(280\) −0.00524055 + 0.172716i −0.000313183 + 0.0103218i
\(281\) 5.90841 + 10.2337i 0.352466 + 0.610489i 0.986681 0.162668i \(-0.0520098\pi\)
−0.634215 + 0.773157i \(0.718676\pi\)
\(282\) −2.26492 + 6.03340i −0.134874 + 0.359284i
\(283\) −7.92483 13.7262i −0.471082 0.815939i 0.528370 0.849014i \(-0.322803\pi\)
−0.999453 + 0.0330753i \(0.989470\pi\)
\(284\) −1.41639 2.45327i −0.0840475 0.145575i
\(285\) 0.615830 1.64047i 0.0364786 0.0971733i
\(286\) 0.341548 + 0.591579i 0.0201962 + 0.0349808i
\(287\) −5.21555 3.22596i −0.307864 0.190422i
\(288\) −23.0466 + 7.86723i −1.35803 + 0.463581i
\(289\) −11.1634 19.3355i −0.656669 1.13738i
\(290\) −1.48220 −0.0870381
\(291\) 4.85174 12.9243i 0.284414 0.757634i
\(292\) 3.45304 0.202074
\(293\) 7.04804 12.2076i 0.411751 0.713173i −0.583330 0.812235i \(-0.698251\pi\)
0.995081 + 0.0990615i \(0.0315841\pi\)
\(294\) 24.7651 2.58024i 1.44433 0.150483i
\(295\) −0.334243 0.578927i −0.0194604 0.0337064i
\(296\) −1.56314 2.70744i −0.0908557 0.157367i
\(297\) −7.61515 + 4.09552i −0.441876 + 0.237646i
\(298\) −18.2438 + 31.5993i −1.05684 + 1.83050i
\(299\) −0.617846 + 1.07014i −0.0357310 + 0.0618878i
\(300\) −6.72029 + 17.9018i −0.387996 + 1.03356i
\(301\) −4.38569 + 2.35771i −0.252787 + 0.135896i
\(302\) −8.69307 + 15.0568i −0.500230 + 0.866424i
\(303\) 16.3265 + 19.8592i 0.937932 + 1.14088i
\(304\) 24.3346 1.39569
\(305\) −0.0495974 + 0.0859053i −0.00283994 + 0.00491892i
\(306\) −36.5642 + 12.4816i −2.09024 + 0.713526i
\(307\) 27.3916 1.56332 0.781660 0.623704i \(-0.214373\pi\)
0.781660 + 0.623704i \(0.214373\pi\)
\(308\) −8.59887 + 4.62267i −0.489966 + 0.263401i
\(309\) −0.224332 0.272873i −0.0127618 0.0155232i
\(310\) 0.756186 0.0429485
\(311\) 7.02785 + 12.1726i 0.398513 + 0.690244i 0.993543 0.113459i \(-0.0361931\pi\)
−0.595030 + 0.803704i \(0.702860\pi\)
\(312\) 0.152529 0.0253167i 0.00863528 0.00143327i
\(313\) −10.8723 + 18.8314i −0.614540 + 1.06441i 0.375925 + 0.926650i \(0.377325\pi\)
−0.990465 + 0.137764i \(0.956008\pi\)
\(314\) 11.7045 0.660520
\(315\) −1.13154 0.258948i −0.0637549 0.0145901i
\(316\) 28.3740 1.59616
\(317\) −4.28148 + 7.41575i −0.240472 + 0.416510i −0.960849 0.277073i \(-0.910636\pi\)
0.720377 + 0.693583i \(0.243969\pi\)
\(318\) 6.68328 17.8032i 0.374780 0.998353i
\(319\) −4.10614 7.11204i −0.229900 0.398198i
\(320\) 1.40905 0.0787682
\(321\) −4.24217 + 11.3005i −0.236775 + 0.630730i
\(322\) −28.5659 17.6688i −1.59191 0.984642i
\(323\) 43.3808 2.41377
\(324\) 2.67256 + 19.7774i 0.148476 + 1.09874i
\(325\) −0.497589 + 0.861850i −0.0276013 + 0.0478068i
\(326\) 4.36471 0.241739
\(327\) 11.3818 1.88913i 0.629413 0.104469i
\(328\) 0.517568 0.896453i 0.0285779 0.0494984i
\(329\) −4.07670 2.52155i −0.224756 0.139018i
\(330\) 0.853949 0.141737i 0.0470083 0.00780239i
\(331\) −5.42360 + 9.39396i −0.298108 + 0.516339i −0.975703 0.219097i \(-0.929689\pi\)
0.677595 + 0.735435i \(0.263022\pi\)
\(332\) 8.33070 14.4292i 0.457207 0.791905i
\(333\) 19.8753 6.78465i 1.08916 0.371797i
\(334\) −11.8849 20.5853i −0.650314 1.12638i
\(335\) −0.452399 0.783578i −0.0247172 0.0428114i
\(336\) −2.15604 15.9757i −0.117622 0.871548i
\(337\) 1.67411 2.89964i 0.0911945 0.157954i −0.816819 0.576893i \(-0.804265\pi\)
0.908014 + 0.418940i \(0.137598\pi\)
\(338\) −26.6153 −1.44768
\(339\) −0.0660347 + 0.0109604i −0.00358651 + 0.000595285i
\(340\) 2.03368 0.110292
\(341\) 2.09486 + 3.62840i 0.113443 + 0.196489i
\(342\) 8.24304 41.8140i 0.445732 2.26104i
\(343\) −1.68298 + 18.4436i −0.0908723 + 0.995863i
\(344\) −0.420231 0.727861i −0.0226573 0.0392437i
\(345\) 0.994424 + 1.20960i 0.0535380 + 0.0651226i
\(346\) 16.3377 + 28.2977i 0.878319 + 1.52129i
\(347\) 5.76652 + 9.98790i 0.309563 + 0.536178i 0.978267 0.207350i \(-0.0664840\pi\)
−0.668704 + 0.743529i \(0.733151\pi\)
\(348\) −18.6988 + 3.10361i −1.00236 + 0.166371i
\(349\) −4.44917 7.70619i −0.238159 0.412503i 0.722027 0.691865i \(-0.243211\pi\)
−0.960186 + 0.279362i \(0.909877\pi\)
\(350\) −23.0058 14.2297i −1.22971 0.760612i
\(351\) −0.0313221 + 1.03819i −0.00167185 + 0.0554145i
\(352\) 6.75390 + 11.6981i 0.359984 + 0.623511i
\(353\) −2.64699 −0.140885 −0.0704424 0.997516i \(-0.522441\pi\)
−0.0704424 + 0.997516i \(0.522441\pi\)
\(354\) −10.3254 12.5596i −0.548788 0.667536i
\(355\) −0.186828 −0.00991579
\(356\) 10.0538 17.4137i 0.532852 0.922926i
\(357\) −3.84353 28.4796i −0.203421 1.50730i
\(358\) 7.96127 + 13.7893i 0.420766 + 0.728789i
\(359\) −12.9835 22.4882i −0.685245 1.18688i −0.973360 0.229284i \(-0.926362\pi\)
0.288114 0.957596i \(-0.406972\pi\)
\(360\) 0.0378959 0.192232i 0.00199729 0.0101315i
\(361\) −14.4264 + 24.9873i −0.759286 + 1.31512i
\(362\) 12.4880 21.6299i 0.656357 1.13684i
\(363\) −9.05362 11.0127i −0.475192 0.578014i
\(364\) −0.0355664 + 1.17219i −0.00186419 + 0.0614394i
\(365\) 0.113867 0.197224i 0.00596009 0.0103232i
\(366\) −0.847922 + 2.25873i −0.0443216 + 0.118066i
\(367\) 17.5874 0.918056 0.459028 0.888422i \(-0.348198\pi\)
0.459028 + 0.888422i \(0.348198\pi\)
\(368\) −10.8732 + 18.8330i −0.566806 + 0.981736i
\(369\) 5.23591 + 4.57596i 0.272570 + 0.238215i
\(370\) −2.10249 −0.109303
\(371\) 12.0294 + 7.44052i 0.624536 + 0.386293i
\(372\) 9.53971 1.58339i 0.494611 0.0820950i
\(373\) 0.815075 0.0422030 0.0211015 0.999777i \(-0.493283\pi\)
0.0211015 + 0.999777i \(0.493283\pi\)
\(374\) 10.7153 + 18.5594i 0.554074 + 0.959684i
\(375\) 1.60518 + 1.95251i 0.0828912 + 0.100827i
\(376\) 0.404553 0.700707i 0.0208632 0.0361362i
\(377\) −0.986490 −0.0508068
\(378\) −28.1813 1.70686i −1.44949 0.0877916i
\(379\) −20.4312 −1.04948 −0.524741 0.851262i \(-0.675838\pi\)
−0.524741 + 0.851262i \(0.675838\pi\)
\(380\) −1.12166 + 1.94278i −0.0575401 + 0.0996624i
\(381\) 14.8260 + 18.0341i 0.759558 + 0.923913i
\(382\) 5.10090 + 8.83501i 0.260985 + 0.452039i
\(383\) 17.8928 0.914278 0.457139 0.889395i \(-0.348874\pi\)
0.457139 + 0.889395i \(0.348874\pi\)
\(384\) 6.06843 1.00723i 0.309678 0.0514000i
\(385\) −0.0195272 + 0.643571i −0.000995196 + 0.0327994i
\(386\) −30.6084 −1.55793
\(387\) 5.34322 1.82397i 0.271611 0.0927177i
\(388\) −8.83688 + 15.3059i −0.448625 + 0.777041i
\(389\) 15.6278 0.792363 0.396181 0.918172i \(-0.370335\pi\)
0.396181 + 0.918172i \(0.370335\pi\)
\(390\) 0.0365448 0.0973495i 0.00185052 0.00492948i
\(391\) −19.3835 + 33.5731i −0.980264 + 1.69787i
\(392\) −3.12033 0.189528i −0.157600 0.00957260i
\(393\) −21.8156 26.5360i −1.10045 1.33857i
\(394\) 21.8311 37.8126i 1.09984 1.90497i
\(395\) 0.935661 1.62061i 0.0470782 0.0815419i
\(396\) 10.4763 3.57619i 0.526451 0.179710i
\(397\) 9.63064 + 16.6808i 0.483348 + 0.837183i 0.999817 0.0191225i \(-0.00608724\pi\)
−0.516469 + 0.856306i \(0.672754\pi\)
\(398\) −20.4791 35.4709i −1.02653 1.77799i
\(399\) 29.3265 + 12.0360i 1.46816 + 0.602555i
\(400\) −8.75687 + 15.1673i −0.437843 + 0.758367i
\(401\) 14.3013 0.714172 0.357086 0.934072i \(-0.383770\pi\)
0.357086 + 0.934072i \(0.383770\pi\)
\(402\) −13.9754 16.9995i −0.697031 0.847856i
\(403\) 0.503284 0.0250704
\(404\) −16.4569 28.5041i −0.818760 1.41813i
\(405\) 1.21774 + 0.499532i 0.0605098 + 0.0248219i
\(406\) 0.813237 26.8024i 0.0403603 1.33018i
\(407\) −5.82452 10.0884i −0.288711 0.500062i
\(408\) 4.78525 0.794251i 0.236905 0.0393213i
\(409\) −15.9305 27.5924i −0.787712 1.36436i −0.927366 0.374156i \(-0.877932\pi\)
0.139654 0.990200i \(-0.455401\pi\)
\(410\) −0.348076 0.602885i −0.0171902 0.0297744i
\(411\) −7.08925 8.62324i −0.349687 0.425353i
\(412\) 0.226124 + 0.391657i 0.0111403 + 0.0192956i
\(413\) 10.6520 5.72643i 0.524151 0.281779i
\(414\) 28.6774 + 25.0628i 1.40942 + 1.23177i
\(415\) −0.549426 0.951633i −0.0269702 0.0467138i
\(416\) 1.62261 0.0795549
\(417\) 21.4106 3.55371i 1.04848 0.174026i
\(418\) −23.6398 −1.15626
\(419\) 11.9480 20.6945i 0.583697 1.01099i −0.411339 0.911482i \(-0.634939\pi\)
0.995036 0.0995110i \(-0.0317278\pi\)
\(420\) 1.37482 + 0.564245i 0.0670842 + 0.0275323i
\(421\) −1.22251 2.11744i −0.0595813 0.103198i 0.834696 0.550711i \(-0.185643\pi\)
−0.894278 + 0.447513i \(0.852310\pi\)
\(422\) 24.1446 + 41.8197i 1.17534 + 2.03575i
\(423\) 4.09261 + 3.57677i 0.198990 + 0.173908i
\(424\) −1.19375 + 2.06763i −0.0579734 + 0.100413i
\(425\) −15.6107 + 27.0385i −0.757230 + 1.31156i
\(426\) −4.48274 + 0.744039i −0.217189 + 0.0360488i
\(427\) −1.52620 0.943995i −0.0738579 0.0456831i
\(428\) 7.72661 13.3829i 0.373480 0.646886i
\(429\) 0.568350 0.0943341i 0.0274402 0.00455449i
\(430\) −0.565230 −0.0272578
\(431\) 2.46382 4.26746i 0.118678 0.205556i −0.800566 0.599244i \(-0.795468\pi\)
0.919244 + 0.393688i \(0.128801\pi\)
\(432\) −0.551224 + 18.2707i −0.0265208 + 0.879049i
\(433\) 30.8539 1.48274 0.741371 0.671095i \(-0.234176\pi\)
0.741371 + 0.671095i \(0.234176\pi\)
\(434\) −0.414895 + 13.6740i −0.0199156 + 0.656372i
\(435\) −0.439346 + 1.17035i −0.0210650 + 0.0561139i
\(436\) −14.7709 −0.707395
\(437\) −21.3817 37.0341i −1.02282 1.77158i
\(438\) 1.94668 5.18566i 0.0930162 0.247780i
\(439\) −1.22411 + 2.12022i −0.0584235 + 0.101192i −0.893758 0.448550i \(-0.851941\pi\)
0.835334 + 0.549742i \(0.185274\pi\)
\(440\) −0.108680 −0.00518110
\(441\) 5.30336 20.3193i 0.252541 0.967586i
\(442\) 2.57432 0.122448
\(443\) 13.1475 22.7722i 0.624657 1.08194i −0.363950 0.931419i \(-0.618572\pi\)
0.988607 0.150520i \(-0.0480946\pi\)
\(444\) −26.5241 + 4.40244i −1.25878 + 0.208931i
\(445\) −0.663069 1.14847i −0.0314325 0.0544427i
\(446\) −8.33993 −0.394907
\(447\) 19.5430 + 23.7718i 0.924354 + 1.12437i
\(448\) −0.773099 + 25.4796i −0.0365255 + 1.20380i
\(449\) −38.7077 −1.82673 −0.913365 0.407141i \(-0.866526\pi\)
−0.913365 + 0.407141i \(0.866526\pi\)
\(450\) 23.0957 + 20.1846i 1.08874 + 0.951511i
\(451\) 1.92854 3.34034i 0.0908116 0.157290i
\(452\) 0.0856976 0.00403087
\(453\) 9.31213 + 11.3271i 0.437522 + 0.532194i
\(454\) 3.95620 6.85233i 0.185673 0.321596i
\(455\) 0.0657779 + 0.0406855i 0.00308372 + 0.00190736i
\(456\) −1.88053 + 5.00943i −0.0880638 + 0.234588i
\(457\) 4.57756 7.92856i 0.214129 0.370882i −0.738874 0.673844i \(-0.764642\pi\)
0.953003 + 0.302961i \(0.0979754\pi\)
\(458\) −13.4681 + 23.3274i −0.629321 + 1.09002i
\(459\) −0.982656 + 32.5708i −0.0458665 + 1.52027i
\(460\) −1.00237 1.73615i −0.0467355 0.0809483i
\(461\) 14.6152 + 25.3143i 0.680698 + 1.17900i 0.974768 + 0.223220i \(0.0716568\pi\)
−0.294070 + 0.955784i \(0.595010\pi\)
\(462\) 2.09448 + 15.5196i 0.0974439 + 0.722036i
\(463\) −8.21031 + 14.2207i −0.381565 + 0.660891i −0.991286 0.131726i \(-0.957948\pi\)
0.609721 + 0.792616i \(0.291282\pi\)
\(464\) −17.3608 −0.805956
\(465\) 0.224144 0.597084i 0.0103944 0.0276891i
\(466\) 35.9435 1.66505
\(467\) 7.68632 + 13.3131i 0.355680 + 0.616057i 0.987234 0.159276i \(-0.0509158\pi\)
−0.631554 + 0.775332i \(0.717582\pi\)
\(468\) 0.257191 1.30464i 0.0118887 0.0603070i
\(469\) 14.4175 7.75073i 0.665739 0.357895i
\(470\) −0.272071 0.471241i −0.0125497 0.0217367i
\(471\) 3.46936 9.24183i 0.159860 0.425841i
\(472\) 1.02066 + 1.76784i 0.0469797 + 0.0813713i
\(473\) −1.56585 2.71213i −0.0719979 0.124704i
\(474\) 15.9961 42.6112i 0.734727 1.95720i
\(475\) −17.2200 29.8259i −0.790106 1.36850i
\(476\) −1.11581 + 36.7747i −0.0511432 + 1.68556i
\(477\) −12.0764 10.5542i −0.552939 0.483245i
\(478\) 7.51341 + 13.0136i 0.343655 + 0.595228i
\(479\) −37.9291 −1.73303 −0.866513 0.499155i \(-0.833644\pi\)
−0.866513 + 0.499155i \(0.833644\pi\)
\(480\) 0.722649 1.92502i 0.0329843 0.0878649i
\(481\) −1.39933 −0.0638038
\(482\) −6.39820 + 11.0820i −0.291430 + 0.504772i
\(483\) −22.4186 + 17.3183i −1.02008 + 0.788011i
\(484\) 9.12591 + 15.8065i 0.414814 + 0.718479i
\(485\) 0.582809 + 1.00946i 0.0264640 + 0.0458370i
\(486\) 31.2077 + 7.13612i 1.41561 + 0.323701i
\(487\) 2.30247 3.98800i 0.104335 0.180714i −0.809131 0.587628i \(-0.800062\pi\)
0.913466 + 0.406914i \(0.133395\pi\)
\(488\) 0.151453 0.262324i 0.00685595 0.0118749i
\(489\) 1.29376 3.44637i 0.0585058 0.155850i
\(490\) −1.15963 + 1.75361i −0.0523867 + 0.0792202i
\(491\) −15.1876 + 26.3056i −0.685405 + 1.18716i 0.287904 + 0.957659i \(0.407042\pi\)
−0.973309 + 0.229497i \(0.926292\pi\)
\(492\) −5.65356 6.87689i −0.254882 0.310034i
\(493\) −30.9488 −1.39386
\(494\) −1.41985 + 2.45925i −0.0638820 + 0.110647i
\(495\) 0.141207 0.716290i 0.00634676 0.0321949i
\(496\) 8.85709 0.397695
\(497\) 0.102506 3.37837i 0.00459804 0.151541i
\(498\) −16.9728 20.6454i −0.760568 0.925141i
\(499\) 9.26871 0.414925 0.207462 0.978243i \(-0.433480\pi\)
0.207462 + 0.978243i \(0.433480\pi\)
\(500\) −1.61800 2.80246i −0.0723592 0.125330i
\(501\) −19.7770 + 3.28256i −0.883571 + 0.146654i
\(502\) −5.80445 + 10.0536i −0.259065 + 0.448715i
\(503\) −22.4230 −0.999791 −0.499896 0.866086i \(-0.666628\pi\)
−0.499896 + 0.866086i \(0.666628\pi\)
\(504\) 3.45531 + 0.790737i 0.153912 + 0.0352222i
\(505\) −2.17072 −0.0965960
\(506\) 10.5627 18.2952i 0.469571 0.813321i
\(507\) −7.88916 + 21.0155i −0.350370 + 0.933329i
\(508\) −14.9444 25.8844i −0.663050 1.14844i
\(509\) −37.6414 −1.66843 −0.834213 0.551443i \(-0.814077\pi\)
−0.834213 + 0.551443i \(0.814077\pi\)
\(510\) 1.14651 3.05411i 0.0507682 0.135238i
\(511\) 3.50389 + 2.16725i 0.155003 + 0.0958736i
\(512\) 31.6976 1.40085
\(513\) −30.5730 18.9030i −1.34983 0.834586i
\(514\) −12.1182 + 20.9893i −0.534511 + 0.925800i
\(515\) 0.0298266 0.00131432
\(516\) −7.13069 + 1.18354i −0.313911 + 0.0521026i
\(517\) 1.50743 2.61095i 0.0662969 0.114830i
\(518\) 1.15357 38.0190i 0.0506849 1.67046i
\(519\) 27.1866 4.51240i 1.19336 0.198072i
\(520\) −0.00652751 + 0.0113060i −0.000286250 + 0.000495800i
\(521\) 17.4641 30.2488i 0.765117 1.32522i −0.175067 0.984556i \(-0.556014\pi\)
0.940185 0.340666i \(-0.110652\pi\)
\(522\) −5.88075 + 29.8310i −0.257394 + 1.30567i
\(523\) −11.8735 20.5656i −0.519194 0.899270i −0.999751 0.0223069i \(-0.992899\pi\)
0.480557 0.876963i \(-0.340434\pi\)
\(524\) 21.9898 + 38.0874i 0.960628 + 1.66386i
\(525\) −18.0551 + 13.9475i −0.787987 + 0.608719i
\(526\) 22.8366 39.5542i 0.995723 1.72464i
\(527\) 15.7894 0.687795
\(528\) 10.0022 1.66015i 0.435288 0.0722486i
\(529\) 15.2151 0.661526
\(530\) 0.802820 + 1.39053i 0.0348723 + 0.0604006i
\(531\) −12.9777 + 4.43008i −0.563182 + 0.192249i
\(532\) −34.5155 21.3488i −1.49644 0.925587i
\(533\) −0.231664 0.401254i −0.0100345 0.0173802i
\(534\) −20.4834 24.9157i −0.886404 1.07821i
\(535\) −0.509585 0.882627i −0.0220313 0.0381593i
\(536\) 1.38147 + 2.39277i 0.0596702 + 0.103352i
\(537\) 13.2479 2.19887i 0.571688 0.0948882i
\(538\) −2.45292 4.24857i −0.105753 0.183169i
\(539\) −11.6269 0.706212i −0.500804 0.0304187i
\(540\) −1.43325 0.886164i −0.0616773 0.0381344i
\(541\) 8.58542 + 14.8704i 0.369116 + 0.639328i 0.989428 0.145028i \(-0.0463271\pi\)
−0.620311 + 0.784356i \(0.712994\pi\)
\(542\) 47.6976 2.04879
\(543\) −13.3774 16.2720i −0.574077 0.698297i
\(544\) 50.9055 2.18255
\(545\) −0.487083 + 0.843653i −0.0208643 + 0.0361381i
\(546\) 1.74030 + 0.714245i 0.0744781 + 0.0305669i
\(547\) −10.0046 17.3284i −0.427765 0.740910i 0.568910 0.822400i \(-0.307365\pi\)
−0.996674 + 0.0814901i \(0.974032\pi\)
\(548\) 7.14586 + 12.3770i 0.305256 + 0.528719i
\(549\) 1.53215 + 1.33904i 0.0653908 + 0.0571487i
\(550\) 8.50683 14.7343i 0.362732 0.628271i
\(551\) 17.0696 29.5654i 0.727190 1.25953i
\(552\) −3.03662 3.69369i −0.129247 0.157214i
\(553\) 28.7919 + 17.8086i 1.22436 + 0.757297i
\(554\) 4.74187 8.21316i 0.201463 0.348944i
\(555\) −0.623209 + 1.66013i −0.0264537 + 0.0704685i
\(556\) −27.7860 −1.17839
\(557\) −0.122740 + 0.212593i −0.00520068 + 0.00900784i −0.868614 0.495489i \(-0.834989\pi\)
0.863413 + 0.504497i \(0.168322\pi\)
\(558\) 3.00022 15.2191i 0.127010 0.644274i
\(559\) −0.376192 −0.0159112
\(560\) 1.15760 + 0.716007i 0.0489175 + 0.0302568i
\(561\) 17.8307 2.95951i 0.752811 0.124951i
\(562\) −24.2676 −1.02367
\(563\) 22.1255 + 38.3224i 0.932477 + 1.61510i 0.779073 + 0.626934i \(0.215690\pi\)
0.153404 + 0.988164i \(0.450976\pi\)
\(564\) −4.41907 5.37528i −0.186076 0.226340i
\(565\) 0.00282596 0.00489471i 0.000118889 0.000205922i
\(566\) 32.5496 1.36816
\(567\) −9.70107 + 21.7460i −0.407407 + 0.913247i
\(568\) 0.570506 0.0239379
\(569\) 2.76767 4.79374i 0.116027 0.200964i −0.802163 0.597105i \(-0.796318\pi\)
0.918190 + 0.396141i \(0.129651\pi\)
\(570\) 2.28525 + 2.77974i 0.0957185 + 0.116430i
\(571\) 2.05191 + 3.55400i 0.0858696 + 0.148730i 0.905761 0.423788i \(-0.139300\pi\)
−0.819892 + 0.572518i \(0.805966\pi\)
\(572\) −0.737585 −0.0308400
\(573\) 8.48810 1.40884i 0.354595 0.0588553i
\(574\) 11.0928 5.96341i 0.463006 0.248908i
\(575\) 30.7770 1.28349
\(576\) 5.59050 28.3586i 0.232938 1.18161i
\(577\) −2.82275 + 4.88915i −0.117513 + 0.203538i −0.918781 0.394767i \(-0.870825\pi\)
0.801269 + 0.598305i \(0.204159\pi\)
\(578\) 45.8512 1.90716
\(579\) −9.07276 + 24.1684i −0.377051 + 1.00440i
\(580\) 0.800218 1.38602i 0.0332272 0.0575513i
\(581\) 17.5097 9.41304i 0.726423 0.390519i
\(582\) 18.0040 + 21.8998i 0.746292 + 0.907776i
\(583\) −4.44809 + 7.70433i −0.184221 + 0.319081i
\(584\) −0.347710 + 0.602252i −0.0143884 + 0.0249214i
\(585\) −0.0660347 0.0577115i −0.00273020 0.00238608i
\(586\) 14.4742 + 25.0700i 0.597923 + 1.03563i
\(587\) 9.36644 + 16.2232i 0.386595 + 0.669601i 0.991989 0.126324i \(-0.0403180\pi\)
−0.605394 + 0.795926i \(0.706985\pi\)
\(588\) −10.9575 + 24.5510i −0.451878 + 1.01247i
\(589\) −8.70852 + 15.0836i −0.358828 + 0.621509i
\(590\) 1.37283 0.0565187
\(591\) −23.3858 28.4460i −0.961962 1.17011i
\(592\) −24.6262 −1.01213
\(593\) −9.43516 16.3422i −0.387456 0.671093i 0.604651 0.796491i \(-0.293313\pi\)
−0.992107 + 0.125398i \(0.959979\pi\)
\(594\) 0.535484 17.7490i 0.0219712 0.728250i
\(595\) 2.06363 + 1.27641i 0.0846005 + 0.0523277i
\(596\) −19.6991 34.1198i −0.806906 1.39760i
\(597\) −34.0781 + 5.65624i −1.39472 + 0.231495i
\(598\) −1.26884 2.19769i −0.0518866 0.0898702i
\(599\) −1.33726 2.31620i −0.0546388 0.0946372i 0.837412 0.546572i \(-0.184067\pi\)
−0.892051 + 0.451934i \(0.850734\pi\)
\(600\) −2.44558 2.97475i −0.0998402 0.121444i
\(601\) −6.60716 11.4439i −0.269511 0.466808i 0.699224 0.714902i \(-0.253529\pi\)
−0.968736 + 0.248095i \(0.920196\pi\)
\(602\) 0.310123 10.2209i 0.0126397 0.416575i
\(603\) −17.5653 + 5.99612i −0.715313 + 0.244181i
\(604\) −9.38650 16.2579i −0.381931 0.661524i
\(605\) 1.20374 0.0489391
\(606\) −52.0843 + 8.64488i −2.11578 + 0.351174i
\(607\) 25.8052 1.04740 0.523701 0.851902i \(-0.324551\pi\)
0.523701 + 0.851902i \(0.324551\pi\)
\(608\) −28.0766 + 48.6301i −1.13866 + 1.97221i
\(609\) −20.9221 8.58675i −0.847808 0.347953i
\(610\) −0.101856 0.176419i −0.00412401 0.00714299i
\(611\) −0.181079 0.313637i −0.00732565 0.0126884i
\(612\) 8.06877 40.9300i 0.326161 1.65450i
\(613\) 13.4766 23.3422i 0.544316 0.942784i −0.454333 0.890832i \(-0.650122\pi\)
0.998650 0.0519519i \(-0.0165443\pi\)
\(614\) −28.1263 + 48.7162i −1.13509 + 1.96603i
\(615\) −0.579212 + 0.0961370i −0.0233561 + 0.00387662i
\(616\) 0.0596290 1.96524i 0.00240252 0.0791816i
\(617\) −4.76588 + 8.25474i −0.191867 + 0.332323i −0.945869 0.324549i \(-0.894788\pi\)
0.754002 + 0.656872i \(0.228121\pi\)
\(618\) 0.715657 0.118784i 0.0287880 0.00477819i
\(619\) 34.7071 1.39500 0.697499 0.716586i \(-0.254296\pi\)
0.697499 + 0.716586i \(0.254296\pi\)
\(620\) −0.408253 + 0.707114i −0.0163958 + 0.0283984i
\(621\) 28.2899 15.2147i 1.13524 0.610544i
\(622\) −28.8654 −1.15740
\(623\) 21.1314 11.3600i 0.846610 0.455130i
\(624\) 0.428043 1.14024i 0.0171354 0.0456461i
\(625\) 24.6796 0.987186
\(626\) −22.3279 38.6730i −0.892402 1.54568i
\(627\) −7.00716 + 18.6660i −0.279839 + 0.745447i
\(628\) −6.31904 + 10.9449i −0.252157 + 0.436749i
\(629\) −43.9006 −1.75043
\(630\) 1.62243 1.74656i 0.0646392 0.0695844i
\(631\) −36.7963 −1.46484 −0.732419 0.680854i \(-0.761609\pi\)
−0.732419 + 0.680854i \(0.761609\pi\)
\(632\) −2.85718 + 4.94877i −0.113652 + 0.196852i
\(633\) 40.1776 6.66863i 1.59692 0.265054i
\(634\) −8.79265 15.2293i −0.349201 0.604833i
\(635\) −1.97122 −0.0782256
\(636\) 13.0397 + 15.8612i 0.517057 + 0.628938i
\(637\) −0.771798 + 1.16713i −0.0305798 + 0.0462433i
\(638\) 16.8651 0.667696
\(639\) −0.741253 + 3.76011i −0.0293235 + 0.148748i
\(640\) −0.259699 + 0.449811i −0.0102655 + 0.0177804i
\(641\) −44.1844 −1.74518 −0.872590 0.488454i \(-0.837561\pi\)
−0.872590 + 0.488454i \(0.837561\pi\)
\(642\) −15.7420 19.1483i −0.621288 0.755723i
\(643\) 7.24065 12.5412i 0.285543 0.494575i −0.687197 0.726471i \(-0.741159\pi\)
0.972741 + 0.231895i \(0.0744926\pi\)
\(644\) 31.9444 17.1730i 1.25879 0.676712i
\(645\) −0.167542 + 0.446305i −0.00659696 + 0.0175732i
\(646\) −44.5444 + 77.1532i −1.75258 + 3.03555i
\(647\) −16.6536 + 28.8448i −0.654719 + 1.13401i 0.327245 + 0.944940i \(0.393880\pi\)
−0.981964 + 0.189068i \(0.939453\pi\)
\(648\) −3.71853 1.52539i −0.146078 0.0599231i
\(649\) 3.80315 + 6.58725i 0.149287 + 0.258572i
\(650\) −1.02187 1.76993i −0.0400811 0.0694225i
\(651\) 10.6740 + 4.38076i 0.418347 + 0.171696i
\(652\) −2.35643 + 4.08146i −0.0922850 + 0.159842i
\(653\) −9.06643 −0.354797 −0.177398 0.984139i \(-0.556768\pi\)
−0.177398 + 0.984139i \(0.556768\pi\)
\(654\) −8.32721 + 22.1824i −0.325620 + 0.867399i
\(655\) 2.90054 0.113333
\(656\) −4.07696 7.06150i −0.159178 0.275705i
\(657\) −3.51757 3.07420i −0.137233 0.119936i
\(658\) 8.67065 4.66126i 0.338017 0.181715i
\(659\) 16.1806 + 28.0256i 0.630305 + 1.09172i 0.987489 + 0.157686i \(0.0504035\pi\)
−0.357184 + 0.934034i \(0.616263\pi\)
\(660\) −0.328493 + 0.875054i −0.0127866 + 0.0340614i
\(661\) 4.32958 + 7.49905i 0.168401 + 0.291679i 0.937858 0.347020i \(-0.112806\pi\)
−0.769457 + 0.638699i \(0.779473\pi\)
\(662\) −11.1382 19.2919i −0.432897 0.749799i
\(663\) 0.763064 2.03268i 0.0296349 0.0789428i
\(664\) 1.67775 + 2.90595i 0.0651094 + 0.112773i
\(665\) −2.35754 + 1.26739i −0.0914214 + 0.0491473i
\(666\) −8.34179 + 42.3150i −0.323238 + 1.63967i
\(667\) 15.2541 + 26.4209i 0.590642 + 1.02302i
\(668\) 25.6659 0.993043
\(669\) −2.47207 + 6.58520i −0.0955758 + 0.254599i
\(670\) 1.85813 0.0717860
\(671\) 0.564339 0.977464i 0.0217861 0.0377346i
\(672\) 34.4134 + 14.1237i 1.32752 + 0.544835i
\(673\) 7.24842 + 12.5546i 0.279406 + 0.483946i 0.971237 0.238114i \(-0.0765291\pi\)
−0.691831 + 0.722059i \(0.743196\pi\)
\(674\) 3.43803 + 5.95484i 0.132428 + 0.229372i
\(675\) 22.7836 12.2533i 0.876942 0.471631i
\(676\) 14.3692 24.8881i 0.552661 0.957236i
\(677\) −19.1657 + 33.1960i −0.736600 + 1.27583i 0.217418 + 0.976078i \(0.430236\pi\)
−0.954018 + 0.299749i \(0.903097\pi\)
\(678\) 0.0483128 0.128698i 0.00185544 0.00494260i
\(679\) −18.5736 + 9.98498i −0.712788 + 0.383188i
\(680\) −0.204785 + 0.354698i −0.00785315 + 0.0136021i
\(681\) −4.23793 5.15494i −0.162398 0.197538i
\(682\) −8.60418 −0.329471
\(683\) −3.31659 + 5.74450i −0.126906 + 0.219807i −0.922476 0.386054i \(-0.873838\pi\)
0.795570 + 0.605861i \(0.207171\pi\)
\(684\) 34.6502 + 30.2828i 1.32488 + 1.15789i
\(685\) 0.942567 0.0360136
\(686\) −31.0740 21.9315i −1.18641 0.837350i
\(687\) 14.4272 + 17.5489i 0.550430 + 0.669534i
\(688\) −6.62044 −0.252402
\(689\) 0.534322 + 0.925472i 0.0203560 + 0.0352577i
\(690\) −3.17238 + 0.526548i −0.120770 + 0.0200453i
\(691\) 11.6938 20.2542i 0.444852 0.770506i −0.553190 0.833055i \(-0.686590\pi\)
0.998042 + 0.0625490i \(0.0199230\pi\)
\(692\) −35.2818 −1.34121
\(693\) 12.8751 + 2.94642i 0.489084 + 0.111925i
\(694\) −23.6848 −0.899061
\(695\) −0.916269 + 1.58702i −0.0347561 + 0.0601992i
\(696\) 1.34161 3.57383i 0.0508535 0.135466i
\(697\) −7.26791 12.5884i −0.275292 0.476819i
\(698\) 18.2740 0.691683
\(699\) 10.6542 28.3810i 0.402978 1.07347i
\(700\) 25.7268 13.8305i 0.972381 0.522743i
\(701\) 9.26736 0.350023 0.175012 0.984566i \(-0.444004\pi\)
0.175012 + 0.984566i \(0.444004\pi\)
\(702\) −1.81427 1.12174i −0.0684752 0.0423375i
\(703\) 24.2131 41.9383i 0.913214 1.58173i
\(704\) −16.0327 −0.604256
\(705\) −0.452738 + 0.0751449i −0.0170511 + 0.00283012i
\(706\) 2.71799 4.70769i 0.102293 0.177176i
\(707\) 1.19101 39.2528i 0.0447924 1.47625i
\(708\) 17.3191 2.87460i 0.650891 0.108034i
\(709\) −7.11775 + 12.3283i −0.267313 + 0.462999i −0.968167 0.250305i \(-0.919469\pi\)
0.700854 + 0.713305i \(0.252802\pi\)
\(710\) 0.191839 0.332275i 0.00719959 0.0124701i
\(711\) −28.9043 25.2611i −1.08399 0.947365i
\(712\) 2.02478 + 3.50702i 0.0758817 + 0.131431i
\(713\) −7.78230 13.4793i −0.291449 0.504805i
\(714\) 54.5979 + 22.4078i 2.04327 + 0.838589i
\(715\) −0.0243226 + 0.0421280i −0.000909613 + 0.00157550i
\(716\) −17.1926 −0.642519
\(717\) 12.5026 2.07517i 0.466919 0.0774986i
\(718\) 53.3272 1.99015
\(719\) 6.92848 + 12.0005i 0.258389 + 0.447542i 0.965810 0.259249i \(-0.0834752\pi\)
−0.707422 + 0.706792i \(0.750142\pi\)
\(720\) −1.16212 1.01564i −0.0433096 0.0378507i
\(721\) −0.0163649 + 0.539348i −0.000609459 + 0.0200864i
\(722\) −29.6268 51.3151i −1.10259 1.90975i
\(723\) 6.85383 + 8.33688i 0.254897 + 0.310052i
\(724\) 13.4842 + 23.3553i 0.501136 + 0.867993i
\(725\) 12.2851 + 21.2784i 0.456257 + 0.790260i
\(726\) 28.8826 4.79389i 1.07193 0.177918i
\(727\) 15.7000 + 27.1932i 0.582280 + 1.00854i 0.995208 + 0.0977755i \(0.0311727\pi\)
−0.412928 + 0.910764i \(0.635494\pi\)
\(728\) −0.200862 0.124239i −0.00744446 0.00460460i
\(729\) 14.8851 22.5263i 0.551299 0.834308i
\(730\) 0.233843 + 0.405028i 0.00865492 + 0.0149908i
\(731\) −11.8021 −0.436518
\(732\) −1.65437 2.01235i −0.0611473 0.0743785i
\(733\) −26.6006 −0.982515 −0.491257 0.871014i \(-0.663463\pi\)
−0.491257 + 0.871014i \(0.663463\pi\)
\(734\) −18.0592 + 31.2794i −0.666576 + 1.15454i
\(735\) 1.04092 + 1.43544i 0.0383950 + 0.0529470i
\(736\) −25.0904 43.4579i −0.924845 1.60188i
\(737\) 5.14757 + 8.91586i 0.189613 + 0.328420i
\(738\) −13.5147 + 4.61341i −0.497484 + 0.169822i
\(739\) 16.5019 28.5822i 0.607034 1.05141i −0.384693 0.923045i \(-0.625693\pi\)
0.991727 0.128368i \(-0.0409740\pi\)
\(740\) 1.13510 1.96605i 0.0417272 0.0722736i
\(741\) 1.52096 + 1.85007i 0.0558739 + 0.0679640i
\(742\) −25.5851 + 13.7543i −0.939259 + 0.504937i
\(743\) 19.3008 33.4299i 0.708076 1.22642i −0.257493 0.966280i \(-0.582897\pi\)
0.965570 0.260144i \(-0.0837701\pi\)
\(744\) −0.684457 + 1.82328i −0.0250934 + 0.0668448i
\(745\) −2.59839 −0.0951975
\(746\) −0.836938 + 1.44962i −0.0306425 + 0.0530743i
\(747\) −21.3325 + 7.28211i −0.780517 + 0.266439i
\(748\) −23.1400 −0.846082
\(749\) 16.2400 8.73047i 0.593396 0.319004i
\(750\) −5.12080 + 0.849945i −0.186985 + 0.0310356i
\(751\) −37.8996 −1.38297 −0.691487 0.722389i \(-0.743044\pi\)
−0.691487 + 0.722389i \(0.743044\pi\)
\(752\) −3.18673 5.51957i −0.116208 0.201278i
\(753\) 6.21780 + 7.56323i 0.226589 + 0.275619i
\(754\) 1.01295 1.75448i 0.0368895 0.0638944i
\(755\) −1.23811 −0.0450596
\(756\) 16.8107 25.4310i 0.611400 0.924916i
\(757\) 22.5927 0.821147 0.410573 0.911828i \(-0.365329\pi\)
0.410573 + 0.911828i \(0.365329\pi\)
\(758\) 20.9793 36.3371i 0.762001 1.31982i
\(759\) −11.3149 13.7633i −0.410707 0.499576i
\(760\) −0.225896 0.391263i −0.00819411 0.0141926i
\(761\) 27.7470 1.00583 0.502913 0.864337i \(-0.332261\pi\)
0.502913 + 0.864337i \(0.332261\pi\)
\(762\) −47.2974 + 7.85037i −1.71340 + 0.284389i
\(763\) −14.9884 9.27072i −0.542616 0.335623i
\(764\) −11.0156 −0.398529
\(765\) −2.07168 1.81056i −0.0749019 0.0654610i
\(766\) −18.3727 + 31.8224i −0.663832 + 1.14979i
\(767\) 0.913698 0.0329917
\(768\) 7.29015 19.4198i 0.263061 0.700751i
\(769\) −6.07668 + 10.5251i −0.219131 + 0.379546i −0.954542 0.298075i \(-0.903655\pi\)
0.735412 + 0.677621i \(0.236989\pi\)
\(770\) −1.12454 0.695562i −0.0405258 0.0250663i
\(771\) 12.9812 + 15.7901i 0.467505 + 0.568665i
\(772\) 16.5250 28.6221i 0.594747 1.03013i
\(773\) −20.7795 + 35.9912i −0.747388 + 1.29451i 0.201682 + 0.979451i \(0.435359\pi\)
−0.949071 + 0.315063i \(0.897974\pi\)