Properties

Label 273.2.cg.b.115.10
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.10
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.b.19.10

$q$-expansion

\(f(q)\) \(=\) \(q+(2.39126 - 0.640737i) q^{2} -1.00000i q^{3} +(3.57554 - 2.06434i) q^{4} +(-1.06950 - 0.286571i) q^{5} +(-0.640737 - 2.39126i) q^{6} +(0.327682 + 2.62538i) q^{7} +(3.72630 - 3.72630i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(2.39126 - 0.640737i) q^{2} -1.00000i q^{3} +(3.57554 - 2.06434i) q^{4} +(-1.06950 - 0.286571i) q^{5} +(-0.640737 - 2.39126i) q^{6} +(0.327682 + 2.62538i) q^{7} +(3.72630 - 3.72630i) q^{8} -1.00000 q^{9} -2.74106 q^{10} +(1.52947 - 1.52947i) q^{11} +(-2.06434 - 3.57554i) q^{12} +(-3.47248 - 0.970511i) q^{13} +(2.46575 + 6.06801i) q^{14} +(-0.286571 + 1.06950i) q^{15} +(2.39431 - 4.14706i) q^{16} +(1.59647 + 2.76517i) q^{17} +(-2.39126 + 0.640737i) q^{18} +(-2.51496 + 2.51496i) q^{19} +(-4.41561 + 1.18316i) q^{20} +(2.62538 - 0.327682i) q^{21} +(2.67738 - 4.63735i) q^{22} +(0.620322 + 0.358143i) q^{23} +(-3.72630 - 3.72630i) q^{24} +(-3.26843 - 1.88703i) q^{25} +(-8.92545 - 0.0958025i) q^{26} +1.00000i q^{27} +(6.59131 + 8.71070i) q^{28} +(1.58131 + 2.73892i) q^{29} +2.74106i q^{30} +(-0.625845 - 2.33568i) q^{31} +(0.340399 - 1.27039i) q^{32} +(-1.52947 - 1.52947i) q^{33} +(5.58933 + 5.58933i) q^{34} +(0.401902 - 2.90174i) q^{35} +(-3.57554 + 2.06434i) q^{36} +(0.726571 + 2.71160i) q^{37} +(-4.40250 + 7.62535i) q^{38} +(-0.970511 + 3.47248i) q^{39} +(-5.05312 + 2.91742i) q^{40} +(4.01046 + 1.07460i) q^{41} +(6.06801 - 2.46575i) q^{42} +(7.32559 + 4.22943i) q^{43} +(2.31134 - 8.62603i) q^{44} +(1.06950 + 0.286571i) q^{45} +(1.71283 + 0.458951i) q^{46} +(2.85863 - 10.6686i) q^{47} +(-4.14706 - 2.39431i) q^{48} +(-6.78525 + 1.72058i) q^{49} +(-9.02475 - 2.41817i) q^{50} +(2.76517 - 1.59647i) q^{51} +(-14.4194 + 3.69827i) q^{52} +(4.54930 - 7.87963i) q^{53} +(0.640737 + 2.39126i) q^{54} +(-2.07407 + 1.19746i) q^{55} +(11.0040 + 8.56192i) q^{56} +(2.51496 + 2.51496i) q^{57} +(5.53626 + 5.53626i) q^{58} +(-2.10905 + 7.87107i) q^{59} +(1.18316 + 4.41561i) q^{60} -13.1295i q^{61} +(-2.99312 - 5.18423i) q^{62} +(-0.327682 - 2.62538i) q^{63} +6.32129i q^{64} +(3.43569 + 2.03307i) q^{65} +(-4.63735 - 2.67738i) q^{66} +(-8.40090 - 8.40090i) q^{67} +(11.4165 + 6.59131i) q^{68} +(0.358143 - 0.620322i) q^{69} +(-0.898198 - 7.19634i) q^{70} +(-14.8017 + 3.96611i) q^{71} +(-3.72630 + 3.72630i) q^{72} +(-4.86210 + 1.30280i) q^{73} +(3.47484 + 6.01860i) q^{74} +(-1.88703 + 3.26843i) q^{75} +(-3.80061 + 14.1841i) q^{76} +(4.51663 + 3.51426i) q^{77} +(-0.0958025 + 8.92545i) q^{78} +(-8.54505 - 14.8005i) q^{79} +(-3.74913 + 3.74913i) q^{80} +1.00000 q^{81} +10.2786 q^{82} +(3.63623 - 3.63623i) q^{83} +(8.71070 - 6.59131i) q^{84} +(-0.915005 - 3.41484i) q^{85} +(20.2274 + 5.41991i) q^{86} +(2.73892 - 1.58131i) q^{87} -11.3985i q^{88} +(-5.24668 + 1.40584i) q^{89} +2.74106 q^{90} +(1.41009 - 9.43460i) q^{91} +2.95732 q^{92} +(-2.33568 + 0.625845i) q^{93} -27.3430i q^{94} +(3.41045 - 1.96903i) q^{95} +(-1.27039 - 0.340399i) q^{96} +(3.61174 + 13.4792i) q^{97} +(-15.1229 + 8.46192i) q^{98} +(-1.52947 + 1.52947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 8q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 8q^{7} - 40q^{9} + 4q^{11} - 24q^{12} - 18q^{14} + 32q^{16} + 4q^{17} + 14q^{19} + 14q^{20} + 2q^{21} + 4q^{22} + 12q^{23} + 24q^{25} - 32q^{26} + 16q^{28} + 8q^{29} + 14q^{31} - 26q^{32} - 4q^{33} - 24q^{34} + 26q^{35} + 36q^{37} - 8q^{38} + 18q^{39} - 30q^{40} - 2q^{41} - 66q^{43} - 32q^{44} - 26q^{46} - 4q^{47} + 24q^{48} - 14q^{49} - 20q^{50} + 2q^{52} - 8q^{53} - 42q^{55} + 46q^{56} - 14q^{57} + 24q^{58} + 14q^{59} + 2q^{60} + 24q^{62} + 8q^{63} + 28q^{65} - 18q^{66} - 44q^{67} - 18q^{68} + 4q^{69} - 4q^{70} - 6q^{71} + 14q^{73} - 20q^{74} + 24q^{75} - 64q^{76} + 24q^{77} + 8q^{78} + 20q^{80} + 40q^{81} + 48q^{82} - 12q^{83} + 22q^{84} + 2q^{85} - 60q^{86} + 18q^{87} - 2q^{89} - 14q^{91} + 236q^{92} - 8q^{93} + 24q^{95} + 16q^{96} - 62q^{97} - 88q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.39126 0.640737i 1.69088 0.453069i 0.720261 0.693703i \(-0.244022\pi\)
0.970616 + 0.240634i \(0.0773552\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 3.57554 2.06434i 1.78777 1.03217i
\(5\) −1.06950 0.286571i −0.478294 0.128158i 0.0116143 0.999933i \(-0.496303\pi\)
−0.489908 + 0.871774i \(0.662970\pi\)
\(6\) −0.640737 2.39126i −0.261580 0.976229i
\(7\) 0.327682 + 2.62538i 0.123852 + 0.992301i
\(8\) 3.72630 3.72630i 1.31745 1.31745i
\(9\) −1.00000 −0.333333
\(10\) −2.74106 −0.866801
\(11\) 1.52947 1.52947i 0.461153 0.461153i −0.437880 0.899033i \(-0.644271\pi\)
0.899033 + 0.437880i \(0.144271\pi\)
\(12\) −2.06434 3.57554i −0.595923 1.03217i
\(13\) −3.47248 0.970511i −0.963092 0.269171i
\(14\) 2.46575 + 6.06801i 0.659000 + 1.62175i
\(15\) −0.286571 + 1.06950i −0.0739923 + 0.276143i
\(16\) 2.39431 4.14706i 0.598577 1.03677i
\(17\) 1.59647 + 2.76517i 0.387201 + 0.670652i 0.992072 0.125671i \(-0.0401085\pi\)
−0.604871 + 0.796324i \(0.706775\pi\)
\(18\) −2.39126 + 0.640737i −0.563626 + 0.151023i
\(19\) −2.51496 + 2.51496i −0.576971 + 0.576971i −0.934067 0.357097i \(-0.883767\pi\)
0.357097 + 0.934067i \(0.383767\pi\)
\(20\) −4.41561 + 1.18316i −0.987360 + 0.264562i
\(21\) 2.62538 0.327682i 0.572905 0.0715062i
\(22\) 2.67738 4.63735i 0.570819 0.988687i
\(23\) 0.620322 + 0.358143i 0.129346 + 0.0746781i 0.563277 0.826268i \(-0.309540\pi\)
−0.433931 + 0.900946i \(0.642874\pi\)
\(24\) −3.72630 3.72630i −0.760628 0.760628i
\(25\) −3.26843 1.88703i −0.653685 0.377405i
\(26\) −8.92545 0.0958025i −1.75042 0.0187884i
\(27\) 1.00000i 0.192450i
\(28\) 6.59131 + 8.71070i 1.24564 + 1.64617i
\(29\) 1.58131 + 2.73892i 0.293643 + 0.508604i 0.974668 0.223656i \(-0.0717991\pi\)
−0.681026 + 0.732260i \(0.738466\pi\)
\(30\) 2.74106i 0.500448i
\(31\) −0.625845 2.33568i −0.112405 0.419501i 0.886675 0.462394i \(-0.153009\pi\)
−0.999080 + 0.0428926i \(0.986343\pi\)
\(32\) 0.340399 1.27039i 0.0601747 0.224575i
\(33\) −1.52947 1.52947i −0.266247 0.266247i
\(34\) 5.58933 + 5.58933i 0.958562 + 0.958562i
\(35\) 0.401902 2.90174i 0.0679339 0.490484i
\(36\) −3.57554 + 2.06434i −0.595923 + 0.344056i
\(37\) 0.726571 + 2.71160i 0.119448 + 0.445784i 0.999581 0.0289419i \(-0.00921379\pi\)
−0.880134 + 0.474726i \(0.842547\pi\)
\(38\) −4.40250 + 7.62535i −0.714179 + 1.23699i
\(39\) −0.970511 + 3.47248i −0.155406 + 0.556042i
\(40\) −5.05312 + 2.91742i −0.798968 + 0.461284i
\(41\) 4.01046 + 1.07460i 0.626329 + 0.167824i 0.558003 0.829839i \(-0.311568\pi\)
0.0683255 + 0.997663i \(0.478234\pi\)
\(42\) 6.06801 2.46575i 0.936315 0.380474i
\(43\) 7.32559 + 4.22943i 1.11714 + 0.644983i 0.940670 0.339323i \(-0.110198\pi\)
0.176473 + 0.984306i \(0.443531\pi\)
\(44\) 2.31134 8.62603i 0.348447 1.30042i
\(45\) 1.06950 + 0.286571i 0.159431 + 0.0427195i
\(46\) 1.71283 + 0.458951i 0.252543 + 0.0676687i
\(47\) 2.85863 10.6686i 0.416975 1.55617i −0.363872 0.931449i \(-0.618546\pi\)
0.780847 0.624722i \(-0.214788\pi\)
\(48\) −4.14706 2.39431i −0.598577 0.345589i
\(49\) −6.78525 + 1.72058i −0.969321 + 0.245797i
\(50\) −9.02475 2.41817i −1.27629 0.341981i
\(51\) 2.76517 1.59647i 0.387201 0.223551i
\(52\) −14.4194 + 3.69827i −1.99962 + 0.512858i
\(53\) 4.54930 7.87963i 0.624895 1.08235i −0.363666 0.931529i \(-0.618475\pi\)
0.988561 0.150820i \(-0.0481915\pi\)
\(54\) 0.640737 + 2.39126i 0.0871932 + 0.325410i
\(55\) −2.07407 + 1.19746i −0.279667 + 0.161466i
\(56\) 11.0040 + 8.56192i 1.47047 + 1.14413i
\(57\) 2.51496 + 2.51496i 0.333114 + 0.333114i
\(58\) 5.53626 + 5.53626i 0.726946 + 0.726946i
\(59\) −2.10905 + 7.87107i −0.274575 + 1.02473i 0.681551 + 0.731770i \(0.261306\pi\)
−0.956126 + 0.292956i \(0.905361\pi\)
\(60\) 1.18316 + 4.41561i 0.152745 + 0.570052i
\(61\) 13.1295i 1.68106i −0.541768 0.840528i \(-0.682245\pi\)
0.541768 0.840528i \(-0.317755\pi\)
\(62\) −2.99312 5.18423i −0.380126 0.658398i
\(63\) −0.327682 2.62538i −0.0412841 0.330767i
\(64\) 6.32129i 0.790162i
\(65\) 3.43569 + 2.03307i 0.426144 + 0.252171i
\(66\) −4.63735 2.67738i −0.570819 0.329562i
\(67\) −8.40090 8.40090i −1.02633 1.02633i −0.999644 0.0266890i \(-0.991504\pi\)
−0.0266890 0.999644i \(-0.508496\pi\)
\(68\) 11.4165 + 6.59131i 1.38445 + 0.799314i
\(69\) 0.358143 0.620322i 0.0431154 0.0746781i
\(70\) −0.898198 7.19634i −0.107355 0.860127i
\(71\) −14.8017 + 3.96611i −1.75664 + 0.470691i −0.986024 0.166605i \(-0.946720\pi\)
−0.770619 + 0.637296i \(0.780053\pi\)
\(72\) −3.72630 + 3.72630i −0.439149 + 0.439149i
\(73\) −4.86210 + 1.30280i −0.569066 + 0.152481i −0.531868 0.846827i \(-0.678510\pi\)
−0.0371977 + 0.999308i \(0.511843\pi\)
\(74\) 3.47484 + 6.01860i 0.403942 + 0.699648i
\(75\) −1.88703 + 3.26843i −0.217895 + 0.377405i
\(76\) −3.80061 + 14.1841i −0.435959 + 1.62702i
\(77\) 4.51663 + 3.51426i 0.514717 + 0.400487i
\(78\) −0.0958025 + 8.92545i −0.0108475 + 1.01061i
\(79\) −8.54505 14.8005i −0.961393 1.66518i −0.719008 0.695001i \(-0.755404\pi\)
−0.242385 0.970180i \(-0.577930\pi\)
\(80\) −3.74913 + 3.74913i −0.419166 + 0.419166i
\(81\) 1.00000 0.111111
\(82\) 10.2786 1.13508
\(83\) 3.63623 3.63623i 0.399128 0.399128i −0.478797 0.877926i \(-0.658927\pi\)
0.877926 + 0.478797i \(0.158927\pi\)
\(84\) 8.71070 6.59131i 0.950416 0.719171i
\(85\) −0.915005 3.41484i −0.0992462 0.370392i
\(86\) 20.2274 + 5.41991i 2.18117 + 0.584443i
\(87\) 2.73892 1.58131i 0.293643 0.169535i
\(88\) 11.3985i 1.21509i
\(89\) −5.24668 + 1.40584i −0.556146 + 0.149019i −0.525935 0.850525i \(-0.676285\pi\)
−0.0302111 + 0.999544i \(0.509618\pi\)
\(90\) 2.74106 0.288934
\(91\) 1.41009 9.43460i 0.147818 0.989015i
\(92\) 2.95732 0.308321
\(93\) −2.33568 + 0.625845i −0.242199 + 0.0648971i
\(94\) 27.3430i 2.82021i
\(95\) 3.41045 1.96903i 0.349905 0.202018i
\(96\) −1.27039 0.340399i −0.129658 0.0347419i
\(97\) 3.61174 + 13.4792i 0.366717 + 1.36861i 0.865078 + 0.501637i \(0.167269\pi\)
−0.498361 + 0.866969i \(0.666065\pi\)
\(98\) −15.1229 + 8.46192i −1.52764 + 0.854783i
\(99\) −1.52947 + 1.52947i −0.153718 + 0.153718i
\(100\) −15.5818 −1.55818
\(101\) 18.9217 1.88278 0.941390 0.337320i \(-0.109520\pi\)
0.941390 + 0.337320i \(0.109520\pi\)
\(102\) 5.58933 5.58933i 0.553426 0.553426i
\(103\) −4.50207 7.79781i −0.443602 0.768341i 0.554352 0.832283i \(-0.312966\pi\)
−0.997954 + 0.0639412i \(0.979633\pi\)
\(104\) −16.5559 + 9.32308i −1.62344 + 0.914204i
\(105\) −2.90174 0.401902i −0.283181 0.0392217i
\(106\) 5.82981 21.7572i 0.566241 2.11324i
\(107\) 6.49988 11.2581i 0.628367 1.08836i −0.359512 0.933140i \(-0.617057\pi\)
0.987879 0.155223i \(-0.0496097\pi\)
\(108\) 2.06434 + 3.57554i 0.198641 + 0.344056i
\(109\) −0.626065 + 0.167754i −0.0599662 + 0.0160679i −0.288677 0.957426i \(-0.593216\pi\)
0.228711 + 0.973494i \(0.426549\pi\)
\(110\) −4.19238 + 4.19238i −0.399728 + 0.399728i
\(111\) 2.71160 0.726571i 0.257374 0.0689630i
\(112\) 11.6722 + 4.92705i 1.10292 + 0.465562i
\(113\) −2.55967 + 4.43348i −0.240794 + 0.417067i −0.960941 0.276755i \(-0.910741\pi\)
0.720147 + 0.693822i \(0.244074\pi\)
\(114\) 7.62535 + 4.40250i 0.714179 + 0.412332i
\(115\) −0.560800 0.560800i −0.0522948 0.0522948i
\(116\) 11.3081 + 6.52873i 1.04993 + 0.606178i
\(117\) 3.47248 + 0.970511i 0.321031 + 0.0897238i
\(118\) 20.1731i 1.85709i
\(119\) −6.73649 + 5.09744i −0.617533 + 0.467282i
\(120\) 2.91742 + 5.05312i 0.266323 + 0.461284i
\(121\) 6.32144i 0.574676i
\(122\) −8.41253 31.3960i −0.761635 2.84246i
\(123\) 1.07460 4.01046i 0.0968934 0.361611i
\(124\) −7.05937 7.05937i −0.633950 0.633950i
\(125\) 6.86944 + 6.86944i 0.614421 + 0.614421i
\(126\) −2.46575 6.06801i −0.219667 0.540582i
\(127\) −11.5953 + 6.69453i −1.02891 + 0.594044i −0.916673 0.399638i \(-0.869136\pi\)
−0.112240 + 0.993681i \(0.535803\pi\)
\(128\) 4.73108 + 17.6566i 0.418173 + 1.56064i
\(129\) 4.22943 7.32559i 0.372381 0.644983i
\(130\) 9.51829 + 2.66023i 0.834809 + 0.233318i
\(131\) 2.22446 1.28429i 0.194352 0.112209i −0.399666 0.916661i \(-0.630874\pi\)
0.594018 + 0.804452i \(0.297541\pi\)
\(132\) −8.62603 2.31134i −0.750799 0.201176i
\(133\) −7.42683 5.77862i −0.643988 0.501069i
\(134\) −25.4715 14.7060i −2.20040 1.27040i
\(135\) 0.286571 1.06950i 0.0246641 0.0920477i
\(136\) 16.2528 + 4.35492i 1.39367 + 0.373431i
\(137\) 14.8475 + 3.97837i 1.26851 + 0.339895i 0.829458 0.558569i \(-0.188649\pi\)
0.439047 + 0.898464i \(0.355316\pi\)
\(138\) 0.458951 1.71283i 0.0390685 0.145806i
\(139\) 2.84843 + 1.64454i 0.241601 + 0.139488i 0.615912 0.787815i \(-0.288788\pi\)
−0.374312 + 0.927303i \(0.622121\pi\)
\(140\) −4.55316 11.2050i −0.384812 0.946991i
\(141\) −10.6686 2.85863i −0.898456 0.240740i
\(142\) −32.8536 + 18.9680i −2.75701 + 1.59176i
\(143\) −6.79543 + 3.82669i −0.568262 + 0.320004i
\(144\) −2.39431 + 4.14706i −0.199526 + 0.345589i
\(145\) −0.906317 3.38242i −0.0752655 0.280895i
\(146\) −10.7918 + 6.23065i −0.893136 + 0.515652i
\(147\) 1.72058 + 6.78525i 0.141911 + 0.559638i
\(148\) 8.19554 + 8.19554i 0.673669 + 0.673669i
\(149\) −2.78449 2.78449i −0.228114 0.228114i 0.583790 0.811904i \(-0.301569\pi\)
−0.811904 + 0.583790i \(0.801569\pi\)
\(150\) −2.41817 + 9.02475i −0.197443 + 0.736868i
\(151\) 2.01661 + 7.52610i 0.164110 + 0.612465i 0.998152 + 0.0607650i \(0.0193540\pi\)
−0.834043 + 0.551700i \(0.813979\pi\)
\(152\) 18.7430i 1.52026i
\(153\) −1.59647 2.76517i −0.129067 0.223551i
\(154\) 13.0522 + 5.50956i 1.05177 + 0.443973i
\(155\) 2.67736i 0.215050i
\(156\) 3.69827 + 14.4194i 0.296098 + 1.15448i
\(157\) 9.33603 + 5.39016i 0.745096 + 0.430181i 0.823919 0.566707i \(-0.191783\pi\)
−0.0788232 + 0.996889i \(0.525116\pi\)
\(158\) −29.9166 29.9166i −2.38004 2.38004i
\(159\) −7.87963 4.54930i −0.624895 0.360783i
\(160\) −0.728112 + 1.26113i −0.0575623 + 0.0997009i
\(161\) −0.736994 + 1.74594i −0.0580833 + 0.137599i
\(162\) 2.39126 0.640737i 0.187875 0.0503410i
\(163\) 3.25130 3.25130i 0.254662 0.254662i −0.568217 0.822879i \(-0.692367\pi\)
0.822879 + 0.568217i \(0.192367\pi\)
\(164\) 16.5579 4.43667i 1.29295 0.346446i
\(165\) 1.19746 + 2.07407i 0.0932224 + 0.161466i
\(166\) 6.36532 11.0251i 0.494044 0.855710i
\(167\) 2.67718 9.99136i 0.207166 0.773154i −0.781612 0.623765i \(-0.785602\pi\)
0.988778 0.149390i \(-0.0477309\pi\)
\(168\) 8.56192 11.0040i 0.660566 0.848977i
\(169\) 11.1162 + 6.74016i 0.855093 + 0.518474i
\(170\) −4.37603 7.57951i −0.335626 0.581322i
\(171\) 2.51496 2.51496i 0.192324 0.192324i
\(172\) 34.9239 2.66292
\(173\) 7.92507 0.602532 0.301266 0.953540i \(-0.402591\pi\)
0.301266 + 0.953540i \(0.402591\pi\)
\(174\) 5.53626 5.53626i 0.419703 0.419703i
\(175\) 3.88316 9.19921i 0.293539 0.695395i
\(176\) −2.68079 10.0048i −0.202072 0.754143i
\(177\) 7.87107 + 2.10905i 0.591626 + 0.158526i
\(178\) −11.6454 + 6.72347i −0.872860 + 0.503946i
\(179\) 0.776613i 0.0580468i 0.999579 + 0.0290234i \(0.00923973\pi\)
−0.999579 + 0.0290234i \(0.990760\pi\)
\(180\) 4.41561 1.18316i 0.329120 0.0881874i
\(181\) 10.5598 0.784905 0.392452 0.919772i \(-0.371627\pi\)
0.392452 + 0.919772i \(0.371627\pi\)
\(182\) −2.67319 23.4641i −0.198150 1.73927i
\(183\) −13.1295 −0.970558
\(184\) 3.64606 0.976958i 0.268791 0.0720223i
\(185\) 3.10826i 0.228524i
\(186\) −5.18423 + 2.99312i −0.380126 + 0.219466i
\(187\) 6.67101 + 1.78749i 0.487832 + 0.130714i
\(188\) −11.8024 44.0471i −0.860777 3.21246i
\(189\) −2.62538 + 0.327682i −0.190968 + 0.0238354i
\(190\) 6.89366 6.89366i 0.500119 0.500119i
\(191\) −5.45039 −0.394376 −0.197188 0.980366i \(-0.563181\pi\)
−0.197188 + 0.980366i \(0.563181\pi\)
\(192\) 6.32129 0.456200
\(193\) −10.1470 + 10.1470i −0.730394 + 0.730394i −0.970698 0.240303i \(-0.922753\pi\)
0.240303 + 0.970698i \(0.422753\pi\)
\(194\) 17.2732 + 29.9181i 1.24015 + 2.14800i
\(195\) 2.03307 3.43569i 0.145591 0.246035i
\(196\) −20.7091 + 20.1591i −1.47922 + 1.43993i
\(197\) 5.97264 22.2902i 0.425533 1.58811i −0.337224 0.941424i \(-0.609488\pi\)
0.762757 0.646686i \(-0.223845\pi\)
\(198\) −2.67738 + 4.63735i −0.190273 + 0.329562i
\(199\) −4.48268 7.76424i −0.317769 0.550392i 0.662253 0.749280i \(-0.269600\pi\)
−0.980022 + 0.198888i \(0.936267\pi\)
\(200\) −19.2108 + 5.14751i −1.35841 + 0.363984i
\(201\) −8.40090 + 8.40090i −0.592554 + 0.592554i
\(202\) 45.2468 12.1238i 3.18355 0.853030i
\(203\) −6.67253 + 5.04905i −0.468320 + 0.354374i
\(204\) 6.59131 11.4165i 0.461484 0.799314i
\(205\) −3.98123 2.29856i −0.278061 0.160539i
\(206\) −15.7620 15.7620i −1.09819 1.09819i
\(207\) −0.620322 0.358143i −0.0431154 0.0248927i
\(208\) −12.3390 + 12.0769i −0.855552 + 0.837381i
\(209\) 7.69311i 0.532144i
\(210\) −7.19634 + 0.898198i −0.496594 + 0.0619816i
\(211\) 1.93953 + 3.35936i 0.133523 + 0.231268i 0.925032 0.379889i \(-0.124038\pi\)
−0.791509 + 0.611157i \(0.790704\pi\)
\(212\) 37.5652i 2.57999i
\(213\) 3.96611 + 14.8017i 0.271754 + 1.01420i
\(214\) 8.32942 31.0858i 0.569388 2.12498i
\(215\) −6.62267 6.62267i −0.451662 0.451662i
\(216\) 3.72630 + 3.72630i 0.253543 + 0.253543i
\(217\) 5.92698 2.40844i 0.402350 0.163496i
\(218\) −1.38960 + 0.802286i −0.0941156 + 0.0543377i
\(219\) 1.30280 + 4.86210i 0.0880348 + 0.328550i
\(220\) −4.94394 + 8.56315i −0.333320 + 0.577328i
\(221\) −2.86008 11.1514i −0.192390 0.750124i
\(222\) 6.01860 3.47484i 0.403942 0.233216i
\(223\) 19.2784 + 5.16562i 1.29097 + 0.345916i 0.838031 0.545623i \(-0.183707\pi\)
0.452944 + 0.891539i \(0.350374\pi\)
\(224\) 3.44679 + 0.477394i 0.230299 + 0.0318972i
\(225\) 3.26843 + 1.88703i 0.217895 + 0.125802i
\(226\) −3.28015 + 12.2417i −0.218192 + 0.814305i
\(227\) 9.28427 + 2.48771i 0.616219 + 0.165115i 0.553408 0.832910i \(-0.313327\pi\)
0.0628104 + 0.998025i \(0.479994\pi\)
\(228\) 14.1841 + 3.80061i 0.939362 + 0.251701i
\(229\) −6.89824 + 25.7446i −0.455848 + 1.70125i 0.229733 + 0.973254i \(0.426215\pi\)
−0.685582 + 0.727996i \(0.740452\pi\)
\(230\) −1.70034 0.981694i −0.112117 0.0647310i
\(231\) 3.51426 4.51663i 0.231222 0.297172i
\(232\) 16.0985 + 4.31357i 1.05692 + 0.283200i
\(233\) 1.53044 0.883603i 0.100263 0.0578867i −0.449030 0.893517i \(-0.648230\pi\)
0.549293 + 0.835630i \(0.314897\pi\)
\(234\) 8.92545 + 0.0958025i 0.583475 + 0.00626280i
\(235\) −6.11460 + 10.5908i −0.398873 + 0.690868i
\(236\) 8.70757 + 32.4971i 0.566815 + 2.11538i
\(237\) −14.8005 + 8.54505i −0.961393 + 0.555061i
\(238\) −12.8426 + 16.5056i −0.832461 + 1.06990i
\(239\) 21.4837 + 21.4837i 1.38967 + 1.38967i 0.826011 + 0.563654i \(0.190605\pi\)
0.563654 + 0.826011i \(0.309395\pi\)
\(240\) 3.74913 + 3.74913i 0.242005 + 0.242005i
\(241\) −2.48199 + 9.26292i −0.159879 + 0.596677i 0.838759 + 0.544503i \(0.183282\pi\)
−0.998638 + 0.0521742i \(0.983385\pi\)
\(242\) 4.05038 + 15.1162i 0.260368 + 0.971707i
\(243\) 1.00000i 0.0641500i
\(244\) −27.1037 46.9449i −1.73513 3.00534i
\(245\) 7.74987 + 0.104297i 0.495121 + 0.00666329i
\(246\) 10.2786i 0.655339i
\(247\) 11.1739 6.29234i 0.710980 0.400372i
\(248\) −11.0355 6.37138i −0.700758 0.404583i
\(249\) −3.63623 3.63623i −0.230437 0.230437i
\(250\) 20.8281 + 12.0251i 1.31729 + 0.760535i
\(251\) −7.01379 + 12.1482i −0.442706 + 0.766790i −0.997889 0.0649385i \(-0.979315\pi\)
0.555183 + 0.831728i \(0.312648\pi\)
\(252\) −6.59131 8.71070i −0.415214 0.548723i
\(253\) 1.49654 0.400995i 0.0940864 0.0252104i
\(254\) −23.4379 + 23.4379i −1.47062 + 1.47062i
\(255\) −3.41484 + 0.915005i −0.213846 + 0.0572998i
\(256\) 16.3052 + 28.2415i 1.01908 + 1.76509i
\(257\) −3.92232 + 6.79366i −0.244668 + 0.423777i −0.962038 0.272915i \(-0.912012\pi\)
0.717370 + 0.696692i \(0.245346\pi\)
\(258\) 5.41991 20.2274i 0.337429 1.25930i
\(259\) −6.88090 + 2.79607i −0.427558 + 0.173739i
\(260\) 16.4814 + 0.176905i 1.02213 + 0.0109712i
\(261\) −1.58131 2.73892i −0.0978809 0.169535i
\(262\) 4.49637 4.49637i 0.277787 0.277787i
\(263\) −30.1387 −1.85843 −0.929217 0.369535i \(-0.879517\pi\)
−0.929217 + 0.369535i \(0.879517\pi\)
\(264\) −11.3985 −0.701532
\(265\) −7.12354 + 7.12354i −0.437595 + 0.437595i
\(266\) −21.4621 9.05954i −1.31592 0.555476i
\(267\) 1.40584 + 5.24668i 0.0860362 + 0.321091i
\(268\) −47.3800 12.6954i −2.89420 0.775497i
\(269\) −1.57674 + 0.910328i −0.0961352 + 0.0555037i −0.547297 0.836939i \(-0.684343\pi\)
0.451162 + 0.892442i \(0.351010\pi\)
\(270\) 2.74106i 0.166816i
\(271\) −4.75330 + 1.27364i −0.288742 + 0.0773682i −0.400283 0.916392i \(-0.631088\pi\)
0.111541 + 0.993760i \(0.464421\pi\)
\(272\) 15.2898 0.927079
\(273\) −9.43460 1.41009i −0.571008 0.0853426i
\(274\) 38.0533 2.29888
\(275\) −7.88512 + 2.11281i −0.475490 + 0.127407i
\(276\) 2.95732i 0.178009i
\(277\) −4.09191 + 2.36247i −0.245859 + 0.141947i −0.617867 0.786283i \(-0.712003\pi\)
0.372008 + 0.928230i \(0.378670\pi\)
\(278\) 7.86506 + 2.10744i 0.471715 + 0.126396i
\(279\) 0.625845 + 2.33568i 0.0374683 + 0.139834i
\(280\) −9.31515 12.3104i −0.556687 0.735685i
\(281\) −12.5689 + 12.5689i −0.749799 + 0.749799i −0.974441 0.224642i \(-0.927879\pi\)
0.224642 + 0.974441i \(0.427879\pi\)
\(282\) −27.3430 −1.62825
\(283\) −16.8354 −1.00076 −0.500379 0.865806i \(-0.666806\pi\)
−0.500379 + 0.865806i \(0.666806\pi\)
\(284\) −44.7368 + 44.7368i −2.65464 + 2.65464i
\(285\) −1.96903 3.41045i −0.116635 0.202018i
\(286\) −13.7977 + 13.5047i −0.815878 + 0.798549i
\(287\) −1.50708 + 10.8811i −0.0889599 + 0.642292i
\(288\) −0.340399 + 1.27039i −0.0200582 + 0.0748583i
\(289\) 3.40256 5.89340i 0.200150 0.346671i
\(290\) −4.33448 7.50754i −0.254530 0.440858i
\(291\) 13.4792 3.61174i 0.790165 0.211724i
\(292\) −14.6952 + 14.6952i −0.859972 + 0.859972i
\(293\) 2.69125 0.721119i 0.157225 0.0421282i −0.179348 0.983786i \(-0.557399\pi\)
0.336573 + 0.941657i \(0.390732\pi\)
\(294\) 8.46192 + 15.1229i 0.493509 + 0.881983i
\(295\) 4.51124 7.81370i 0.262655 0.454931i
\(296\) 12.8117 + 7.39681i 0.744662 + 0.429931i
\(297\) 1.52947 + 1.52947i 0.0887489 + 0.0887489i
\(298\) −8.44256 4.87432i −0.489065 0.282362i
\(299\) −1.80647 1.84568i −0.104471 0.106738i
\(300\) 15.5818i 0.899618i
\(301\) −8.70341 + 20.6184i −0.501656 + 1.18842i
\(302\) 9.64449 + 16.7047i 0.554978 + 0.961250i
\(303\) 18.9217i 1.08702i
\(304\) 4.40810 + 16.4513i 0.252822 + 0.943545i
\(305\) −3.76252 + 14.0419i −0.215442 + 0.804039i
\(306\) −5.58933 5.58933i −0.319521 0.319521i
\(307\) −11.1210 11.1210i −0.634708 0.634708i 0.314537 0.949245i \(-0.398151\pi\)
−0.949245 + 0.314537i \(0.898151\pi\)
\(308\) 23.4040 + 3.24154i 1.33357 + 0.184704i
\(309\) −7.79781 + 4.50207i −0.443602 + 0.256114i
\(310\) 1.71548 + 6.40226i 0.0974327 + 0.363624i
\(311\) 12.9496 22.4293i 0.734304 1.27185i −0.220725 0.975336i \(-0.570842\pi\)
0.955028 0.296515i \(-0.0958244\pi\)
\(312\) 9.32308 + 16.5559i 0.527816 + 0.937294i
\(313\) 6.50589 3.75618i 0.367734 0.212312i −0.304734 0.952438i \(-0.598567\pi\)
0.672468 + 0.740126i \(0.265234\pi\)
\(314\) 25.7786 + 6.90734i 1.45477 + 0.389804i
\(315\) −0.401902 + 2.90174i −0.0226446 + 0.163495i
\(316\) −61.1063 35.2797i −3.43750 1.98464i
\(317\) −1.89185 + 7.06048i −0.106257 + 0.396556i −0.998485 0.0550295i \(-0.982475\pi\)
0.892228 + 0.451585i \(0.149141\pi\)
\(318\) −21.7572 5.82981i −1.22008 0.326920i
\(319\) 6.60767 + 1.77052i 0.369958 + 0.0991300i
\(320\) 1.81150 6.76061i 0.101266 0.377929i
\(321\) −11.2581 6.49988i −0.628367 0.362788i
\(322\) −0.643658 + 4.64722i −0.0358696 + 0.258979i
\(323\) −10.9693 2.93923i −0.610351 0.163543i
\(324\) 3.57554 2.06434i 0.198641 0.114685i
\(325\) 9.51816 + 9.72470i 0.527972 + 0.539429i
\(326\) 5.69149 9.85795i 0.315223 0.545981i
\(327\) 0.167754 + 0.626065i 0.00927680 + 0.0346215i
\(328\) 18.9485 10.9399i 1.04625 0.604055i
\(329\) 28.9458 + 4.00910i 1.59583 + 0.221029i
\(330\) 4.19238 + 4.19238i 0.230783 + 0.230783i
\(331\) 23.2409 + 23.2409i 1.27744 + 1.27744i 0.942098 + 0.335339i \(0.108851\pi\)
0.335339 + 0.942098i \(0.391149\pi\)
\(332\) 5.49508 20.5079i 0.301581 1.12552i
\(333\) −0.726571 2.71160i −0.0398158 0.148595i
\(334\) 25.6073i 1.40117i
\(335\) 6.57728 + 11.3922i 0.359355 + 0.622422i
\(336\) 4.92705 11.6722i 0.268793 0.636770i
\(337\) 6.18416i 0.336873i 0.985713 + 0.168436i \(0.0538718\pi\)
−0.985713 + 0.168436i \(0.946128\pi\)
\(338\) 30.9004 + 8.99492i 1.68076 + 0.489259i
\(339\) 4.43348 + 2.55967i 0.240794 + 0.139022i
\(340\) −10.3210 10.3210i −0.559736 0.559736i
\(341\) −4.52957 2.61515i −0.245290 0.141618i
\(342\) 4.40250 7.62535i 0.238060 0.412332i
\(343\) −6.74059 17.2501i −0.363958 0.931416i
\(344\) 43.0575 11.5372i 2.32151 0.622045i
\(345\) −0.560800 + 0.560800i −0.0301924 + 0.0301924i
\(346\) 18.9509 5.07788i 1.01881 0.272989i
\(347\) −12.5904 21.8072i −0.675889 1.17067i −0.976208 0.216835i \(-0.930427\pi\)
0.300319 0.953839i \(-0.402907\pi\)
\(348\) 6.52873 11.3081i 0.349977 0.606178i
\(349\) −4.81860 + 17.9833i −0.257934 + 0.962622i 0.708501 + 0.705710i \(0.249372\pi\)
−0.966435 + 0.256912i \(0.917295\pi\)
\(350\) 3.39138 24.4858i 0.181277 1.30882i
\(351\) 0.970511 3.47248i 0.0518021 0.185347i
\(352\) −1.42239 2.46365i −0.0758137 0.131313i
\(353\) −14.5922 + 14.5922i −0.776665 + 0.776665i −0.979262 0.202597i \(-0.935062\pi\)
0.202597 + 0.979262i \(0.435062\pi\)
\(354\) 20.1731 1.07219
\(355\) 16.9670 0.900514
\(356\) −15.8576 + 15.8576i −0.840449 + 0.840449i
\(357\) 5.09744 + 6.73649i 0.269785 + 0.356533i
\(358\) 0.497605 + 1.85709i 0.0262992 + 0.0981500i
\(359\) −8.98361 2.40715i −0.474137 0.127045i 0.0138345 0.999904i \(-0.495596\pi\)
−0.487971 + 0.872860i \(0.662263\pi\)
\(360\) 5.05312 2.91742i 0.266323 0.153761i
\(361\) 6.34997i 0.334209i
\(362\) 25.2513 6.76606i 1.32718 0.355616i
\(363\) 6.32144 0.331789
\(364\) −14.4344 36.6447i −0.756566 1.92070i
\(365\) 5.57335 0.291722
\(366\) −31.3960 + 8.41253i −1.64110 + 0.439730i
\(367\) 34.0704i 1.77846i −0.457460 0.889230i \(-0.651241\pi\)
0.457460 0.889230i \(-0.348759\pi\)
\(368\) 2.97049 1.71501i 0.154847 0.0894011i
\(369\) −4.01046 1.07460i −0.208776 0.0559414i
\(370\) −1.99158 7.43267i −0.103537 0.386406i
\(371\) 22.1777 + 9.36164i 1.15141 + 0.486032i
\(372\) −7.05937 + 7.05937i −0.366011 + 0.366011i
\(373\) 22.0202 1.14016 0.570082 0.821588i \(-0.306912\pi\)
0.570082 + 0.821588i \(0.306912\pi\)
\(374\) 17.0974 0.884087
\(375\) 6.86944 6.86944i 0.354736 0.354736i
\(376\) −29.1022 50.4064i −1.50083 2.59951i
\(377\) −2.83293 11.0455i −0.145903 0.568873i
\(378\) −6.06801 + 2.46575i −0.312105 + 0.126825i
\(379\) −0.321459 + 1.19970i −0.0165123 + 0.0616246i −0.973690 0.227875i \(-0.926822\pi\)
0.957178 + 0.289500i \(0.0934889\pi\)
\(380\) 8.12947 14.0807i 0.417033 0.722323i
\(381\) 6.69453 + 11.5953i 0.342971 + 0.594044i
\(382\) −13.0333 + 3.49226i −0.666842 + 0.178680i
\(383\) −10.3254 + 10.3254i −0.527603 + 0.527603i −0.919857 0.392254i \(-0.871695\pi\)
0.392254 + 0.919857i \(0.371695\pi\)
\(384\) 17.6566 4.73108i 0.901037 0.241432i
\(385\) −3.82343 5.05283i −0.194860 0.257516i
\(386\) −17.7625 + 30.7656i −0.904088 + 1.56593i
\(387\) −7.32559 4.22943i −0.372381 0.214994i
\(388\) 40.7396 + 40.7396i 2.06824 + 2.06824i
\(389\) 14.0217 + 8.09545i 0.710930 + 0.410456i 0.811405 0.584484i \(-0.198703\pi\)
−0.100475 + 0.994940i \(0.532036\pi\)
\(390\) 2.66023 9.51829i 0.134706 0.481977i
\(391\) 2.28706i 0.115662i
\(392\) −18.8725 + 31.6953i −0.953204 + 1.60085i
\(393\) −1.28429 2.22446i −0.0647840 0.112209i
\(394\) 57.1286i 2.87810i
\(395\) 4.89752 + 18.2778i 0.246421 + 0.919656i
\(396\) −2.31134 + 8.62603i −0.116149 + 0.433474i
\(397\) −21.7086 21.7086i −1.08952 1.08952i −0.995577 0.0939469i \(-0.970052\pi\)
−0.0939469 0.995577i \(-0.529948\pi\)
\(398\) −15.6941 15.6941i −0.786674 0.786674i
\(399\) −5.77862 + 7.42683i −0.289293 + 0.371807i
\(400\) −15.6512 + 9.03624i −0.782562 + 0.451812i
\(401\) 1.25827 + 4.69592i 0.0628349 + 0.234503i 0.990200 0.139654i \(-0.0445989\pi\)
−0.927366 + 0.374157i \(0.877932\pi\)
\(402\) −14.7060 + 25.4715i −0.733468 + 1.27040i
\(403\) −0.0935758 + 8.71800i −0.00466134 + 0.434275i
\(404\) 67.6553 39.0608i 3.36598 1.94335i
\(405\) −1.06950 0.286571i −0.0531437 0.0142398i
\(406\) −12.7207 + 16.3489i −0.631315 + 0.811383i
\(407\) 5.25858 + 3.03604i 0.260658 + 0.150491i
\(408\) 4.35492 16.2528i 0.215601 0.804633i
\(409\) −7.01765 1.88037i −0.347000 0.0929784i 0.0811095 0.996705i \(-0.474154\pi\)
−0.428110 + 0.903727i \(0.640820\pi\)
\(410\) −10.9929 2.94555i −0.542902 0.145470i
\(411\) 3.97837 14.8475i 0.196239 0.732372i
\(412\) −32.1947 18.5876i −1.58612 0.915745i
\(413\) −21.3557 2.95784i −1.05084 0.145546i
\(414\) −1.71283 0.458951i −0.0841810 0.0225562i
\(415\) −4.93098 + 2.84690i −0.242052 + 0.139749i
\(416\) −2.41496 + 4.08103i −0.118403 + 0.200089i
\(417\) 1.64454 2.84843i 0.0805336 0.139488i
\(418\) 4.92926 + 18.3962i 0.241098 + 0.899790i
\(419\) −3.79902 + 2.19337i −0.185594 + 0.107153i −0.589918 0.807463i \(-0.700840\pi\)
0.404324 + 0.914616i \(0.367507\pi\)
\(420\) −11.2050 + 4.55316i −0.546746 + 0.222171i
\(421\) 2.39860 + 2.39860i 0.116901 + 0.116901i 0.763137 0.646236i \(-0.223658\pi\)
−0.646236 + 0.763137i \(0.723658\pi\)
\(422\) 6.79039 + 6.79039i 0.330551 + 0.330551i
\(423\) −2.85863 + 10.6686i −0.138992 + 0.518724i
\(424\) −12.4098 46.3139i −0.602672 2.24920i
\(425\) 12.0503i 0.584527i
\(426\) 18.9680 + 32.8536i 0.919004 + 1.59176i
\(427\) 34.4699 4.30230i 1.66811 0.208203i
\(428\) 53.6718i 2.59432i
\(429\) 3.82669 + 6.79543i 0.184754 + 0.328086i
\(430\) −20.0799 11.5931i −0.968340 0.559071i
\(431\) −19.8131 19.8131i −0.954365 0.954365i 0.0446380 0.999003i \(-0.485787\pi\)
−0.999003 + 0.0446380i \(0.985787\pi\)
\(432\) 4.14706 + 2.39431i 0.199526 + 0.115196i
\(433\) 0.984147 1.70459i 0.0472951 0.0819175i −0.841409 0.540399i \(-0.818273\pi\)
0.888704 + 0.458482i \(0.151607\pi\)
\(434\) 12.6298 9.55685i 0.606249 0.458744i
\(435\) −3.38242 + 0.906317i −0.162175 + 0.0434546i
\(436\) −1.89222 + 1.89222i −0.0906209 + 0.0906209i
\(437\) −2.46080 + 0.659370i −0.117716 + 0.0315419i
\(438\) 6.23065 + 10.7918i 0.297712 + 0.515652i
\(439\) −4.86693 + 8.42976i −0.232286 + 0.402331i −0.958480 0.285158i \(-0.907954\pi\)
0.726195 + 0.687489i \(0.241287\pi\)
\(440\) −3.26649 + 12.1907i −0.155724 + 0.581169i
\(441\) 6.78525 1.72058i 0.323107 0.0819325i
\(442\) −13.9843 24.8333i −0.665166 1.18120i
\(443\) −14.0996 24.4213i −0.669894 1.16029i −0.977933 0.208916i \(-0.933006\pi\)
0.308040 0.951373i \(-0.400327\pi\)
\(444\) 8.19554 8.19554i 0.388943 0.388943i
\(445\) 6.01418 0.285099
\(446\) 49.4094 2.33960
\(447\) −2.78449 + 2.78449i −0.131702 + 0.131702i
\(448\) −16.5958 + 2.07138i −0.784078 + 0.0978634i
\(449\) −6.46808 24.1392i −0.305247 1.13920i −0.932732 0.360570i \(-0.882582\pi\)
0.627485 0.778629i \(-0.284084\pi\)
\(450\) 9.02475 + 2.41817i 0.425431 + 0.113994i
\(451\) 7.77745 4.49031i 0.366226 0.211441i
\(452\) 21.1361i 0.994159i
\(453\) 7.52610 2.01661i 0.353607 0.0947487i
\(454\) 23.7951 1.11676
\(455\) −4.21177 + 9.68618i −0.197451 + 0.454095i
\(456\) 18.7430 0.877721
\(457\) 18.3479 4.91632i 0.858281 0.229976i 0.197267 0.980350i \(-0.436793\pi\)
0.661013 + 0.750374i \(0.270127\pi\)
\(458\) 65.9820i 3.08313i
\(459\) −2.76517 + 1.59647i −0.129067 + 0.0745169i
\(460\) −3.16284 0.847481i −0.147468 0.0395140i
\(461\) −4.98997 18.6228i −0.232406 0.867350i −0.979301 0.202409i \(-0.935123\pi\)
0.746895 0.664942i \(-0.231544\pi\)
\(462\) 5.50956 13.0522i 0.256328 0.607241i
\(463\) −9.73196 + 9.73196i −0.452283 + 0.452283i −0.896112 0.443829i \(-0.853620\pi\)
0.443829 + 0.896112i \(0.353620\pi\)
\(464\) 15.1446 0.703071
\(465\) 2.67736 0.124159
\(466\) 3.09354 3.09354i 0.143305 0.143305i
\(467\) −15.2510 26.4155i −0.705733 1.22237i −0.966426 0.256944i \(-0.917284\pi\)
0.260693 0.965422i \(-0.416049\pi\)
\(468\) 14.4194 3.69827i 0.666539 0.170953i
\(469\) 19.3027 24.8084i 0.891317 1.14554i
\(470\) −7.83570 + 29.2432i −0.361434 + 1.34889i
\(471\) 5.39016 9.33603i 0.248365 0.430181i
\(472\) 21.4710 + 37.1889i 0.988285 + 1.71176i
\(473\) 17.6731 4.73549i 0.812609 0.217738i
\(474\) −29.9166 + 29.9166i −1.37412 + 1.37412i
\(475\) 12.9657 3.47416i 0.594909 0.159405i
\(476\) −13.5637 + 32.1325i −0.621692 + 1.47279i
\(477\) −4.54930 + 7.87963i −0.208298 + 0.360783i
\(478\) 65.1385 + 37.6078i 2.97937 + 1.72014i
\(479\) 7.15853 + 7.15853i 0.327082 + 0.327082i 0.851476 0.524394i \(-0.175708\pi\)
−0.524394 + 0.851476i \(0.675708\pi\)
\(480\) 1.26113 + 0.728112i 0.0575623 + 0.0332336i
\(481\) 0.108636 10.1211i 0.00495339 0.461483i
\(482\) 23.7404i 1.08134i
\(483\) 1.74594 + 0.736994i 0.0794430 + 0.0335344i
\(484\) 13.0496 + 22.6025i 0.593163 + 1.02739i
\(485\) 15.4510i 0.701594i
\(486\) −0.640737 2.39126i −0.0290644 0.108470i
\(487\) −6.33502 + 23.6426i −0.287067 + 1.07135i 0.660249 + 0.751047i \(0.270451\pi\)
−0.947316 + 0.320301i \(0.896216\pi\)
\(488\) −48.9244 48.9244i −2.21470 2.21470i
\(489\) −3.25130 3.25130i −0.147029 0.147029i
\(490\) 18.5988 4.71623i 0.840208 0.213057i
\(491\) 3.99686 2.30759i 0.180376 0.104140i −0.407093 0.913387i \(-0.633458\pi\)
0.587469 + 0.809247i \(0.300124\pi\)
\(492\) −4.43667 16.5579i −0.200021 0.746487i
\(493\) −5.04905 + 8.74520i −0.227398 + 0.393864i
\(494\) 22.6881 22.2062i 1.02078 0.999104i
\(495\) 2.07407 1.19746i 0.0932224 0.0538220i
\(496\) −11.1847 2.99693i −0.502207 0.134566i
\(497\) −15.2628 37.5606i −0.684631 1.68482i
\(498\) −11.0251 6.36532i −0.494044 0.285237i
\(499\) 3.12405 11.6591i 0.139852 0.521934i −0.860079 0.510161i \(-0.829586\pi\)
0.999931 0.0117728i \(-0.00374750\pi\)
\(500\) 38.7428 + 10.3811i 1.73263 + 0.464257i
\(501\) −9.99136 2.67718i −0.446381 0.119607i
\(502\) −8.98798 + 33.5436i −0.401153 + 1.49712i
\(503\) 26.0380 + 15.0331i 1.16098 + 0.670291i 0.951538 0.307531i \(-0.0995027\pi\)
0.209440 + 0.977822i \(0.432836\pi\)
\(504\) −11.0040 8.56192i −0.490157 0.381378i
\(505\) −20.2367 5.42241i −0.900522 0.241294i
\(506\) 3.32168 1.91777i 0.147666 0.0852553i
\(507\) 6.74016 11.1162i 0.299341 0.493688i
\(508\) −27.6396 + 47.8731i −1.22631 + 2.12403i
\(509\) 5.60832 + 20.9305i 0.248584 + 0.927730i 0.971548 + 0.236843i \(0.0761128\pi\)
−0.722963 + 0.690886i \(0.757221\pi\)
\(510\) −7.57951 + 4.37603i −0.335626 + 0.193774i
\(511\) −5.01356 12.3380i −0.221787 0.545799i
\(512\) 31.2343 + 31.2343i 1.38037 + 1.38037i
\(513\) −2.51496 2.51496i −0.111038 0.111038i
\(514\) −5.02635 + 18.7586i −0.221703 + 0.827406i
\(515\) 2.58032 + 9.62990i 0.113703 + 0.424344i
\(516\) 34.9239i 1.53744i
\(517\) −11.9451 20.6895i −0.525344 0.909922i
\(518\) −14.6625 + 11.0950i −0.644232 + 0.487485i
\(519\) 7.92507i 0.347872i
\(520\) 20.3782 5.22657i 0.893645 0.229200i
\(521\) −10.6562 6.15238i −0.466858 0.269541i 0.248065 0.968743i \(-0.420205\pi\)
−0.714924 + 0.699203i \(0.753539\pi\)
\(522\) −5.53626 5.53626i −0.242315 0.242315i
\(523\) 3.57584 + 2.06451i 0.156360 + 0.0902747i 0.576139 0.817352i \(-0.304559\pi\)
−0.419778 + 0.907627i \(0.637892\pi\)
\(524\) 5.30242 9.18407i 0.231638 0.401208i
\(525\) −9.19921 3.88316i −0.401486 0.169475i
\(526\) −72.0696 + 19.3110i −3.14238 + 0.841999i
\(527\) 5.45942 5.45942i 0.237816 0.237816i
\(528\) −10.0048 + 2.68079i −0.435405 + 0.116666i
\(529\) −11.2435 19.4743i −0.488846 0.846707i
\(530\) −12.4699 + 21.5986i −0.541659 + 0.938181i
\(531\) 2.10905 7.87107i 0.0915249 0.341575i
\(532\) −38.4839 5.33017i −1.66849 0.231092i
\(533\) −12.8833 7.62372i −0.558039 0.330220i
\(534\) 6.72347 + 11.6454i 0.290953 + 0.503946i
\(535\) −10.1779 + 10.1779i −0.440027 + 0.440027i
\(536\) −62.6085 −2.70428
\(537\) 0.776613 0.0335133
\(538\) −3.18711 + 3.18711i −0.137406 + 0.137406i
\(539\) −7.74626 + 13.0094i −0.333655 + 0.560356i
\(540\) −1.18316 4.41561i −0.0509150 0.190017i
\(541\) −10.1891 2.73015i −0.438062 0.117378i 0.0330459 0.999454i \(-0.489479\pi\)
−0.471108 + 0.882075i \(0.656146\pi\)
\(542\) −10.5503 + 6.09122i −0.453175 + 0.261640i
\(543\) 10.5598i 0.453165i
\(544\) 4.05628 1.08688i 0.173911 0.0465994i
\(545\) 0.717648 0.0307407
\(546\) −23.4641 + 2.67319i −1.00417 + 0.114402i
\(547\) 33.3666 1.42665 0.713327 0.700831i \(-0.247187\pi\)
0.713327 + 0.700831i \(0.247187\pi\)
\(548\) 61.3004 16.4254i 2.61862 0.701658i
\(549\) 13.1295i 0.560352i
\(550\) −17.5016 + 10.1046i −0.746272 + 0.430860i
\(551\) −10.8652 2.91132i −0.462873 0.124026i
\(552\) −0.976958 3.64606i −0.0415821 0.155187i
\(553\) 36.0568 27.2839i 1.53329 1.16023i
\(554\) −8.27111 + 8.27111i −0.351406 + 0.351406i
\(555\) −3.10826 −0.131938
\(556\) 13.5796 0.575902
\(557\) 7.06829 7.06829i 0.299493 0.299493i −0.541322 0.840815i \(-0.682076\pi\)
0.840815 + 0.541322i \(0.182076\pi\)
\(558\) 2.99312 + 5.18423i 0.126709 + 0.219466i
\(559\) −21.3333 21.7962i −0.902300 0.921881i
\(560\) −11.0714 8.61438i −0.467853 0.364024i
\(561\) 1.78749 6.67101i 0.0754679 0.281650i
\(562\) −22.0022 + 38.1090i −0.928108 + 1.60753i
\(563\) 1.69542 + 2.93656i 0.0714535 + 0.123761i 0.899539 0.436841i \(-0.143903\pi\)
−0.828085 + 0.560603i \(0.810570\pi\)
\(564\) −44.0471 + 11.8024i −1.85472 + 0.496970i
\(565\) 4.00807 4.00807i 0.168621 0.168621i
\(566\) −40.2578 + 10.7870i −1.69216 + 0.453413i
\(567\) 0.327682 + 2.62538i 0.0137614 + 0.110256i
\(568\) −40.3768 + 69.9347i −1.69417 + 2.93439i
\(569\) −0.943027 0.544457i −0.0395337 0.0228248i 0.480103 0.877212i \(-0.340599\pi\)
−0.519637 + 0.854387i \(0.673933\pi\)
\(570\) −6.89366 6.89366i −0.288744 0.288744i
\(571\) 29.1820 + 16.8482i 1.22123 + 0.705076i 0.965180 0.261588i \(-0.0842462\pi\)
0.256048 + 0.966664i \(0.417579\pi\)
\(572\) −16.3977 + 27.7105i −0.685623 + 1.15864i
\(573\) 5.45039i 0.227693i
\(574\) 3.36811 + 26.9852i 0.140582 + 1.12634i
\(575\) −1.35165 2.34113i −0.0563678 0.0976319i
\(576\) 6.32129i 0.263387i
\(577\) 1.97749 + 7.38008i 0.0823239 + 0.307237i 0.994794 0.101907i \(-0.0324943\pi\)
−0.912470 + 0.409143i \(0.865828\pi\)
\(578\) 4.36029 16.2728i 0.181364 0.676859i
\(579\) 10.1470 + 10.1470i 0.421693 + 0.421693i
\(580\) −10.2230 10.2230i −0.424488 0.424488i
\(581\) 10.7380 + 8.35497i 0.445488 + 0.346622i
\(582\) 29.9181 17.2732i 1.24015 0.715999i
\(583\) −5.09363 19.0097i −0.210957 0.787301i
\(584\) −13.2630 + 22.9723i −0.548828 + 0.950599i
\(585\) −3.43569 2.03307i −0.142048 0.0840571i
\(586\) 5.97344 3.44877i 0.246761 0.142467i
\(587\) 7.85719 + 2.10533i 0.324301 + 0.0868961i 0.417297 0.908770i \(-0.362978\pi\)
−0.0929958 + 0.995667i \(0.529644\pi\)
\(588\) 20.1591 + 20.7091i 0.831345 + 0.854027i
\(589\) 7.44812 + 4.30017i 0.306894 + 0.177186i
\(590\) 5.78103 21.5751i 0.238001 0.888233i
\(591\) −22.2902 5.97264i −0.916896 0.245681i
\(592\) 12.9848 + 3.47927i 0.533672 + 0.142997i
\(593\) −0.989650 + 3.69342i −0.0406400 + 0.151671i −0.983264 0.182185i \(-0.941683\pi\)
0.942624 + 0.333855i \(0.108350\pi\)
\(594\) 4.63735 + 2.67738i 0.190273 + 0.109854i
\(595\) 8.66543 3.52122i 0.355248 0.144356i
\(596\) −15.7042 4.20792i −0.643268 0.172363i
\(597\) −7.76424 + 4.48268i −0.317769 + 0.183464i
\(598\) −5.50234 3.25602i −0.225008 0.133148i
\(599\) −14.5091 + 25.1304i −0.592824 + 1.02680i 0.401026 + 0.916067i \(0.368654\pi\)
−0.993850 + 0.110734i \(0.964680\pi\)
\(600\) 5.14751 + 19.2108i 0.210146 + 0.784276i
\(601\) −18.8192 + 10.8653i −0.767653 + 0.443205i −0.832037 0.554721i \(-0.812825\pi\)
0.0643839 + 0.997925i \(0.479492\pi\)
\(602\) −7.60117 + 54.8805i −0.309800 + 2.23676i
\(603\) 8.40090 + 8.40090i 0.342111 + 0.342111i
\(604\) 22.7469 + 22.7469i 0.925557 + 0.925557i
\(605\) 1.81154 6.76076i 0.0736496 0.274864i
\(606\) −12.1238 45.2468i −0.492497 1.83802i
\(607\) 41.5379i 1.68597i −0.537936 0.842985i \(-0.680796\pi\)
0.537936 0.842985i \(-0.319204\pi\)
\(608\) 2.33888 + 4.05106i 0.0948542 + 0.164292i
\(609\) 5.04905 + 6.67253i 0.204598 + 0.270384i
\(610\) 35.9887i 1.45714i
\(611\) −20.2805 + 34.2720i −0.820462 + 1.38650i
\(612\) −11.4165 6.59131i −0.461484 0.266438i
\(613\) 4.78251 + 4.78251i 0.193164 + 0.193164i 0.797062 0.603898i \(-0.206387\pi\)
−0.603898 + 0.797062i \(0.706387\pi\)
\(614\) −33.7188 19.4676i −1.36078 0.785647i
\(615\) −2.29856 + 3.98123i −0.0926870 + 0.160539i
\(616\) 29.9255 3.73510i 1.20573 0.150492i
\(617\) 36.0435 9.65782i 1.45106 0.388809i 0.554665 0.832074i \(-0.312846\pi\)
0.896391 + 0.443264i \(0.146180\pi\)
\(618\) −15.7620 + 15.7620i −0.634040 + 0.634040i
\(619\) −19.8305 + 5.31356i −0.797054 + 0.213570i −0.634290 0.773095i \(-0.718707\pi\)
−0.162764 + 0.986665i \(0.552041\pi\)
\(620\) 5.52697 + 9.57299i 0.221968 + 0.384461i
\(621\) −0.358143 + 0.620322i −0.0143718 + 0.0248927i
\(622\) 16.5945 61.9317i 0.665381 2.48323i
\(623\) −5.41011 13.3139i −0.216752 0.533408i
\(624\) 12.0769 + 12.3390i 0.483462 + 0.493953i
\(625\) 4.05687 + 7.02671i 0.162275 + 0.281068i
\(626\) 13.1506 13.1506i 0.525602 0.525602i
\(627\) 7.69311 0.307233
\(628\) 44.5084 1.77608
\(629\) −6.33808 + 6.33808i −0.252716 + 0.252716i
\(630\) 0.898198 + 7.19634i 0.0357851 + 0.286709i
\(631\) 11.1735 + 41.7002i 0.444812 + 1.66006i 0.716433 + 0.697656i \(0.245773\pi\)
−0.271622 + 0.962404i \(0.587560\pi\)
\(632\) −86.9924 23.3095i −3.46037 0.927204i
\(633\) 3.35936 1.93953i 0.133523 0.0770894i
\(634\) 18.0956i 0.718669i
\(635\) 14.3196 3.83692i 0.568255 0.152263i
\(636\) −37.5652 −1.48956
\(637\) 25.2315 + 0.610476i 0.999707 + 0.0241880i
\(638\) 16.9351 0.670467
\(639\) 14.8017 3.96611i 0.585548 0.156897i
\(640\) 20.2395i 0.800037i
\(641\) 22.8765 13.2078i 0.903567 0.521675i 0.0252115 0.999682i \(-0.491974\pi\)
0.878356 + 0.478007i \(0.158641\pi\)
\(642\) −31.0858 8.32942i −1.22686 0.328736i
\(643\) 2.34913 + 8.76709i 0.0926408 + 0.345740i 0.996651 0.0817702i \(-0.0260574\pi\)
−0.904010 + 0.427510i \(0.859391\pi\)
\(644\) 0.969060 + 7.76408i 0.0381863 + 0.305948i
\(645\) −6.62267 + 6.62267i −0.260767 + 0.260767i
\(646\) −28.1138 −1.10612
\(647\) −9.91733 −0.389891 −0.194945 0.980814i \(-0.562453\pi\)
−0.194945 + 0.980814i \(0.562453\pi\)
\(648\) 3.72630 3.72630i 0.146383 0.146383i
\(649\) 8.81285 + 15.2643i 0.345935 + 0.599176i
\(650\) 28.9914 + 17.1557i 1.13714 + 0.672901i
\(651\) −2.40844 5.92698i −0.0943943 0.232297i
\(652\) 4.91337 18.3370i 0.192423 0.718131i
\(653\) 21.8886 37.9122i 0.856567 1.48362i −0.0186158 0.999827i \(-0.505926\pi\)
0.875183 0.483792i \(-0.160741\pi\)
\(654\) 0.802286 + 1.38960i 0.0313719 + 0.0543377i
\(655\) −2.74709 + 0.736081i −0.107338 + 0.0287611i
\(656\) 14.0587 14.0587i 0.548900 0.548900i
\(657\) 4.86210 1.30280i 0.189689 0.0508269i
\(658\) 71.7857 8.95981i 2.79850 0.349290i
\(659\) 2.58887 4.48406i 0.100848 0.174674i −0.811186 0.584788i \(-0.801178\pi\)
0.912034 + 0.410114i \(0.134511\pi\)
\(660\) 8.56315 + 4.94394i 0.333320 + 0.192443i
\(661\) −22.6178 22.6178i −0.879730 0.879730i 0.113776 0.993506i \(-0.463705\pi\)
−0.993506 + 0.113776i \(0.963705\pi\)
\(662\) 70.4664 + 40.6838i 2.73876 + 1.58122i
\(663\) −11.1514 + 2.86008i −0.433084 + 0.111076i
\(664\) 27.0994i 1.05166i
\(665\) 6.28699 + 8.30853i 0.243799 + 0.322191i
\(666\) −3.47484 6.01860i −0.134647 0.233216i
\(667\) 2.26535i 0.0877146i
\(668\) −11.0532 41.2511i −0.427661 1.59605i
\(669\) 5.16562 19.2784i 0.199714 0.745345i
\(670\) 23.0274 + 23.0274i 0.889626 + 0.889626i
\(671\) −20.0811 20.0811i −0.775224 0.775224i
\(672\) 0.477394 3.44679i 0.0184159 0.132963i
\(673\) 30.4851 17.6006i 1.17511 0.678452i 0.220234 0.975447i \(-0.429318\pi\)
0.954879 + 0.296995i \(0.0959846\pi\)
\(674\) 3.96242 + 14.7880i 0.152627 + 0.569611i
\(675\) 1.88703 3.26843i 0.0726317 0.125802i
\(676\) 53.6604 + 1.15208i 2.06386 + 0.0443106i
\(677\) −33.9514 + 19.6018i −1.30486 + 0.753360i −0.981233 0.192825i \(-0.938235\pi\)
−0.323625 + 0.946185i \(0.604902\pi\)
\(678\) 12.2417 + 3.28015i 0.470139 + 0.125973i
\(679\) −34.2046 + 13.8991i −1.31265 + 0.533399i
\(680\) −16.1343 9.31515i −0.618723 0.357220i
\(681\) 2.48771 9.28427i 0.0953293 0.355774i
\(682\) −12.5070 3.35124i −0.478918 0.128326i
\(683\) −10.6441 2.85209i −0.407286 0.109132i 0.0493586 0.998781i \(-0.484282\pi\)
−0.456645 + 0.889649i \(0.650949\pi\)
\(684\) 3.80061 14.1841i 0.145320 0.542341i
\(685\) −14.7393 8.50971i −0.563158 0.325139i
\(686\) −27.1713 36.9305i −1.03740 1.41001i
\(687\) 25.7446 + 6.89824i 0.982217 + 0.263184i
\(688\) 35.0794 20.2531i 1.33739 0.772143i
\(689\) −23.4446 + 22.9467i −0.893169 + 0.874199i
\(690\) −0.981694 + 1.70034i −0.0373724 + 0.0647310i
\(691\) 1.35724 + 5.06530i 0.0516320 + 0.192693i 0.986925 0.161182i \(-0.0515305\pi\)
−0.935293 + 0.353875i \(0.884864\pi\)
\(692\) 28.3364 16.3600i 1.07719 0.621915i
\(693\) −4.51663 3.51426i −0.171572 0.133496i
\(694\) −44.0797 44.0797i −1.67324 1.67324i
\(695\) −2.57511 2.57511i −0.0976795 0.0976795i
\(696\) 4.31357 16.0985i 0.163506 0.610211i
\(697\) 3.43114 + 12.8052i 0.129964 + 0.485031i
\(698\) 46.0901i 1.74454i
\(699\) −0.883603 1.53044i −0.0334209 0.0578867i
\(700\) −5.10590 40.9083i −0.192985 1.54619i
\(701\) 51.3651i 1.94003i −0.243039 0.970017i \(-0.578144\pi\)
0.243039 0.970017i \(-0.421856\pi\)
\(702\) 0.0958025 8.92545i 0.00361583 0.336869i
\(703\) −8.64685 4.99226i −0.326122 0.188287i
\(704\) 9.66824 + 9.66824i 0.364385 + 0.364385i
\(705\) 10.5908 + 6.11460i 0.398873 + 0.230289i
\(706\) −25.5440 + 44.2436i −0.961362 + 1.66513i
\(707\) 6.20031 + 49.6767i 0.233187 + 1.86828i
\(708\) 32.4971 8.70757i 1.22132 0.327251i
\(709\) −20.8652 + 20.8652i −0.783609 + 0.783609i −0.980438 0.196829i \(-0.936936\pi\)
0.196829 + 0.980438i \(0.436936\pi\)
\(710\) 40.5725 10.8714i 1.52266 0.407995i
\(711\) 8.54505 + 14.8005i 0.320464 + 0.555061i
\(712\) −14.3121 + 24.7893i −0.536369 + 0.929018i
\(713\) 0.448284 1.67302i 0.0167884 0.0626551i
\(714\) 16.5056 + 12.8426i 0.617708 + 0.480622i
\(715\) 8.36430 2.14526i 0.312807 0.0802282i
\(716\) 1.60319 + 2.77681i 0.0599141 + 0.103774i
\(717\) 21.4837 21.4837i 0.802323 0.802323i
\(718\) −23.0245 −0.859267
\(719\) −42.9826 −1.60298 −0.801491 0.598007i \(-0.795959\pi\)
−0.801491 + 0.598007i \(0.795959\pi\)
\(720\) 3.74913 3.74913i 0.139722 0.139722i
\(721\) 18.9970 14.3749i 0.707485 0.535348i
\(722\) 4.06866 + 15.1844i 0.151420 + 0.565107i
\(723\) 9.26292 + 2.48199i 0.344492 + 0.0923063i
\(724\) 37.7570 21.7990i 1.40323 0.810155i
\(725\) 11.9359i 0.443289i
\(726\) 15.1162 4.05038i 0.561015 0.150324i
\(727\) 3.84403 0.142567 0.0712836 0.997456i \(-0.477290\pi\)
0.0712836 + 0.997456i \(0.477290\pi\)
\(728\) −29.9017 40.4106i −1.10823 1.49772i
\(729\) −1.00000 −0.0370370
\(730\) 13.3273 3.57105i 0.493267 0.132170i
\(731\) 27.0087i 0.998952i
\(732\) −46.9449 + 27.1037i −1.73513 + 1.00178i
\(733\) 13.8365 + 3.70749i 0.511064 + 0.136939i 0.505130 0.863043i \(-0.331444\pi\)
0.00593416 + 0.999982i \(0.498111\pi\)
\(734\) −21.8302 81.4713i −0.805766 3.00716i
\(735\) 0.104297 7.74987i 0.00384706 0.285858i
\(736\) 0.666138 0.666138i 0.0245542 0.0245542i
\(737\) −25.6979 −0.946593
\(738\) −10.2786 −0.378360
\(739\) −5.58487 + 5.58487i −0.205443 + 0.205443i −0.802327 0.596885i \(-0.796405\pi\)
0.596885 + 0.802327i \(0.296405\pi\)
\(740\) −6.41650 11.1137i −0.235875 0.408548i
\(741\) −6.29234 11.1739i −0.231155 0.410485i
\(742\) 59.0311 + 8.17604i 2.16710 + 0.300152i
\(743\) 11.2562 42.0089i 0.412952 1.54116i −0.375952 0.926639i \(-0.622684\pi\)
0.788903 0.614517i \(-0.210649\pi\)
\(744\) −6.37138 + 11.0355i −0.233586 + 0.404583i
\(745\) 2.18005 + 3.77596i 0.0798708 + 0.138340i
\(746\) 52.6561 14.1092i 1.92788 0.516573i
\(747\) −3.63623 + 3.63623i −0.133043 + 0.133043i
\(748\) 27.5424 7.37997i 1.00705 0.269838i
\(749\) 31.6867 + 13.3756i 1.15781 + 0.488733i
\(750\) 12.0251 20.8281i 0.439095 0.760535i
\(751\) 2.13841 + 1.23461i 0.0780318 + 0.0450517i 0.538508 0.842620i \(-0.318988\pi\)
−0.460476 + 0.887672i \(0.652321\pi\)
\(752\) −37.3988 37.3988i −1.36379 1.36379i
\(753\) 12.1482 + 7.01379i 0.442706 + 0.255597i
\(754\) −13.8515 24.5975i −0.504443 0.895790i
\(755\) 8.62704i 0.313970i
\(756\) −8.71070 + 6.59131i −0.316805 + 0.239724i
\(757\) 1.03968 + 1.80079i 0.0377880 + 0.0654507i 0.884301 0.466918i \(-0.154636\pi\)
−0.846513 + 0.532368i \(0.821302\pi\)
\(758\) 3.07477i 0.111681i
\(759\) −0.400995 1.49654i −0.0145552 0.0543208i
\(760\) 5.37119 20.0456i 0.194834 0.727129i
\(761\) 15.8414 + 15.8414i 0.574249 + 0.574249i 0.933313 0.359064i \(-0.116904\pi\)
−0.359064 + 0.933313i \(0.616904\pi\)
\(762\) 23.4379 + 23.4379i 0.849065 + 0.849065i
\(763\) −0.645568 1.58869i −0.0233711 0.0575144i
\(764\) −19.4881 + 11.2514i −0.705054 + 0.407063i
\(765\) 0.915005 + 3.41484i 0.0330821 + 0.123464i
\(766\) −18.0749 + 31.3066i −0.653071 + 1.13115i
\(767\) 14.9626 25.2853i 0.540268 0.912998i
\(768\) 28.2415 16.3052i 1.01908 0.588364i
\(769\) −48.4921 12.9934i −1.74867 0.468555i −0.764330 0.644826i \(-0.776930\pi\)
−0.984342 + 0.176271i \(0.943597\pi\)
\(770\) −12.3804 9.63282i −0.446157 0.347143i
\(771\) 6.79366 + 3.92232i 0.244668 + 0.141259i
\(772\) −15.3341 + 57.2276i −0.551886 + 2.05967i
\(773\) 26.9533 + 7.22211i 0.969443 + 0.259761i 0.708592 0.705618i \(-0.249331\pi\)
0.260850 + 0.965379i \(0.415997\pi\)
\(774\) −20.2274