Properties

Label 384.2.v.a.85.14
Level $384$
Weight $2$
Character 384.85
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 85.14
Character \(\chi\) \(=\) 384.85
Dual form 384.2.v.a.253.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.305406 - 1.38084i) q^{2} +(0.634393 - 0.773010i) q^{3} +(-1.81345 + 0.843436i) q^{4} +(2.47700 - 0.751389i) q^{5} +(-1.26115 - 0.639915i) q^{6} +(-0.467390 - 0.0929697i) q^{7} +(1.71849 + 2.24650i) q^{8} +(-0.195090 - 0.980785i) q^{9} +O(q^{10})\) \(q+(-0.305406 - 1.38084i) q^{2} +(0.634393 - 0.773010i) q^{3} +(-1.81345 + 0.843436i) q^{4} +(2.47700 - 0.751389i) q^{5} +(-1.26115 - 0.639915i) q^{6} +(-0.467390 - 0.0929697i) q^{7} +(1.71849 + 2.24650i) q^{8} +(-0.195090 - 0.980785i) q^{9} +(-1.79404 - 3.19086i) q^{10} +(1.19217 + 0.117418i) q^{11} +(-0.498458 + 1.93689i) q^{12} +(1.52616 - 5.03108i) q^{13} +(0.0143674 + 0.673786i) q^{14} +(0.990559 - 2.39142i) q^{15} +(2.57723 - 3.05907i) q^{16} +(-0.970500 - 2.34299i) q^{17} +(-1.29473 + 0.568927i) q^{18} +(0.167133 - 0.0893345i) q^{19} +(-3.85817 + 3.45180i) q^{20} +(-0.368376 + 0.302318i) q^{21} +(-0.201959 - 1.68206i) q^{22} +(-2.91591 + 4.36397i) q^{23} +(2.82677 + 0.0967539i) q^{24} +(1.41358 - 0.944525i) q^{25} +(-7.41322 - 0.570865i) q^{26} +(-0.881921 - 0.471397i) q^{27} +(0.926004 - 0.225618i) q^{28} +(-0.0547469 - 0.555855i) q^{29} +(-3.60470 - 0.637451i) q^{30} +(3.59547 + 3.59547i) q^{31} +(-5.01119 - 2.62449i) q^{32} +(0.847068 - 0.847068i) q^{33} +(-2.93891 + 2.05567i) q^{34} +(-1.22758 + 0.120906i) q^{35} +(1.18102 + 1.61406i) q^{36} +(1.95972 - 3.66638i) q^{37} +(-0.174400 - 0.203501i) q^{38} +(-2.92089 - 4.37142i) q^{39} +(5.94470 + 4.27333i) q^{40} +(-2.24573 - 1.50055i) q^{41} +(0.529958 + 0.416339i) q^{42} +(1.09769 + 1.33754i) q^{43} +(-2.26097 + 0.792584i) q^{44} +(-1.22019 - 2.28281i) q^{45} +(6.91650 + 2.69363i) q^{46} +(-2.12479 + 0.880119i) q^{47} +(-0.729712 - 3.93288i) q^{48} +(-6.25735 - 2.59188i) q^{49} +(-1.73596 - 1.66347i) q^{50} +(-2.42684 - 0.736173i) q^{51} +(1.47577 + 10.4108i) q^{52} +(-1.04585 + 10.6187i) q^{53} +(-0.381580 + 1.36176i) q^{54} +(3.04122 - 0.604936i) q^{55} +(-0.594350 - 1.20976i) q^{56} +(0.0369716 - 0.185869i) q^{57} +(-0.750828 + 0.245358i) q^{58} +(1.51423 + 4.99174i) q^{59} +(0.220678 + 5.17220i) q^{60} +(8.12635 + 6.66912i) q^{61} +(3.86670 - 6.06286i) q^{62} +0.476547i q^{63} +(-2.09356 + 7.72120i) q^{64} -13.6087i q^{65} +(-1.42837 - 0.910968i) q^{66} +(-5.90866 - 4.84911i) q^{67} +(3.73612 + 3.43036i) q^{68} +(1.52356 + 5.02251i) q^{69} +(0.541863 + 1.65817i) q^{70} +(-0.500521 + 2.51629i) q^{71} +(1.86808 - 2.12374i) q^{72} +(12.7280 - 2.53175i) q^{73} +(-5.66120 - 1.58633i) q^{74} +(0.166639 - 1.69191i) q^{75} +(-0.227740 + 0.302970i) q^{76} +(-0.546291 - 0.165715i) q^{77} +(-5.14418 + 5.36835i) q^{78} +(11.7115 + 4.85105i) q^{79} +(4.08524 - 9.51380i) q^{80} +(-0.923880 + 0.382683i) q^{81} +(-1.38616 + 3.55928i) q^{82} +(1.18319 + 2.21360i) q^{83} +(0.413046 - 0.858941i) q^{84} +(-4.16442 - 5.07437i) q^{85} +(1.51169 - 1.92423i) q^{86} +(-0.464413 - 0.310311i) q^{87} +(1.78495 + 2.87999i) q^{88} +(8.18624 + 12.2516i) q^{89} +(-2.77955 + 2.38208i) q^{90} +(-1.18105 + 2.20959i) q^{91} +(1.60714 - 10.3732i) q^{92} +(5.06028 - 0.498394i) q^{93} +(1.86423 + 2.66521i) q^{94} +(0.346863 - 0.346863i) q^{95} +(-5.20783 + 2.20874i) q^{96} +(-9.33653 - 9.33653i) q^{97} +(-1.66794 + 9.43199i) q^{98} +(-0.117418 - 1.19217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{29}{32}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.305406 1.38084i −0.215955 0.976403i
\(3\) 0.634393 0.773010i 0.366267 0.446298i
\(4\) −1.81345 + 0.843436i −0.906727 + 0.421718i
\(5\) 2.47700 0.751389i 1.10775 0.336031i 0.317154 0.948374i \(-0.397273\pi\)
0.790593 + 0.612343i \(0.209773\pi\)
\(6\) −1.26115 0.639915i −0.514864 0.261244i
\(7\) −0.467390 0.0929697i −0.176657 0.0351392i 0.105969 0.994369i \(-0.466206\pi\)
−0.282626 + 0.959230i \(0.591206\pi\)
\(8\) 1.71849 + 2.24650i 0.607579 + 0.794259i
\(9\) −0.195090 0.980785i −0.0650301 0.326928i
\(10\) −1.79404 3.19086i −0.567325 1.00904i
\(11\) 1.19217 + 0.117418i 0.359452 + 0.0354029i 0.276131 0.961120i \(-0.410948\pi\)
0.0833204 + 0.996523i \(0.473448\pi\)
\(12\) −0.498458 + 1.93689i −0.143892 + 0.559132i
\(13\) 1.52616 5.03108i 0.423281 1.39537i −0.443318 0.896364i \(-0.646199\pi\)
0.866599 0.499005i \(-0.166301\pi\)
\(14\) 0.0143674 + 0.673786i 0.00383984 + 0.180077i
\(15\) 0.990559 2.39142i 0.255761 0.617462i
\(16\) 2.57723 3.05907i 0.644308 0.764766i
\(17\) −0.970500 2.34299i −0.235381 0.568259i 0.761414 0.648266i \(-0.224506\pi\)
−0.996794 + 0.0800071i \(0.974506\pi\)
\(18\) −1.29473 + 0.568927i −0.305170 + 0.134097i
\(19\) 0.167133 0.0893345i 0.0383430 0.0204947i −0.452114 0.891960i \(-0.649330\pi\)
0.490457 + 0.871465i \(0.336830\pi\)
\(20\) −3.85817 + 3.45180i −0.862713 + 0.771846i
\(21\) −0.368376 + 0.302318i −0.0803861 + 0.0659712i
\(22\) −0.201959 1.68206i −0.0430579 0.358615i
\(23\) −2.91591 + 4.36397i −0.608010 + 0.909951i −0.999950 0.0100399i \(-0.996804\pi\)
0.391940 + 0.919991i \(0.371804\pi\)
\(24\) 2.82677 + 0.0967539i 0.577012 + 0.0197498i
\(25\) 1.41358 0.944525i 0.282716 0.188905i
\(26\) −7.41322 0.570865i −1.45385 0.111956i
\(27\) −0.881921 0.471397i −0.169726 0.0907203i
\(28\) 0.926004 0.225618i 0.174998 0.0426377i
\(29\) −0.0547469 0.555855i −0.0101662 0.103220i 0.988762 0.149495i \(-0.0477648\pi\)
−0.998929 + 0.0462754i \(0.985265\pi\)
\(30\) −3.60470 0.637451i −0.658125 0.116382i
\(31\) 3.59547 + 3.59547i 0.645765 + 0.645765i 0.951967 0.306201i \(-0.0990581\pi\)
−0.306201 + 0.951967i \(0.599058\pi\)
\(32\) −5.01119 2.62449i −0.885862 0.463949i
\(33\) 0.847068 0.847068i 0.147456 0.147456i
\(34\) −2.93891 + 2.05567i −0.504019 + 0.352545i
\(35\) −1.22758 + 0.120906i −0.207499 + 0.0204369i
\(36\) 1.18102 + 1.61406i 0.196836 + 0.269010i
\(37\) 1.95972 3.66638i 0.322176 0.602749i −0.667742 0.744393i \(-0.732739\pi\)
0.989918 + 0.141644i \(0.0452389\pi\)
\(38\) −0.174400 0.203501i −0.0282915 0.0330123i
\(39\) −2.92089 4.37142i −0.467716 0.699987i
\(40\) 5.94470 + 4.27333i 0.939940 + 0.675672i
\(41\) −2.24573 1.50055i −0.350725 0.234347i 0.367711 0.929940i \(-0.380142\pi\)
−0.718436 + 0.695593i \(0.755142\pi\)
\(42\) 0.529958 + 0.416339i 0.0817743 + 0.0642425i
\(43\) 1.09769 + 1.33754i 0.167396 + 0.203973i 0.849951 0.526861i \(-0.176631\pi\)
−0.682555 + 0.730834i \(0.739131\pi\)
\(44\) −2.26097 + 0.792584i −0.340855 + 0.119487i
\(45\) −1.22019 2.28281i −0.181895 0.340302i
\(46\) 6.91650 + 2.69363i 1.01978 + 0.397154i
\(47\) −2.12479 + 0.880119i −0.309933 + 0.128378i −0.532228 0.846601i \(-0.678645\pi\)
0.222295 + 0.974979i \(0.428645\pi\)
\(48\) −0.729712 3.93288i −0.105325 0.567662i
\(49\) −6.25735 2.59188i −0.893907 0.370268i
\(50\) −1.73596 1.66347i −0.245501 0.235250i
\(51\) −2.42684 0.736173i −0.339825 0.103085i
\(52\) 1.47577 + 10.4108i 0.204653 + 1.44372i
\(53\) −1.04585 + 10.6187i −0.143658 + 1.45859i 0.605314 + 0.795986i \(0.293047\pi\)
−0.748973 + 0.662601i \(0.769453\pi\)
\(54\) −0.381580 + 1.36176i −0.0519265 + 0.185312i
\(55\) 3.04122 0.604936i 0.410078 0.0815696i
\(56\) −0.594350 1.20976i −0.0794233 0.161661i
\(57\) 0.0369716 0.185869i 0.00489701 0.0246189i
\(58\) −0.750828 + 0.245358i −0.0985885 + 0.0322171i
\(59\) 1.51423 + 4.99174i 0.197136 + 0.649869i 0.998652 + 0.0518968i \(0.0165267\pi\)
−0.801517 + 0.597972i \(0.795973\pi\)
\(60\) 0.220678 + 5.17220i 0.0284894 + 0.667729i
\(61\) 8.12635 + 6.66912i 1.04047 + 0.853894i 0.989460 0.144804i \(-0.0462552\pi\)
0.0510124 + 0.998698i \(0.483755\pi\)
\(62\) 3.86670 6.06286i 0.491071 0.769984i
\(63\) 0.476547i 0.0600392i
\(64\) −2.09356 + 7.72120i −0.261695 + 0.965151i
\(65\) 13.6087i 1.68795i
\(66\) −1.42837 0.910968i −0.175820 0.112132i
\(67\) −5.90866 4.84911i −0.721858 0.592414i 0.200067 0.979782i \(-0.435884\pi\)
−0.921925 + 0.387369i \(0.873384\pi\)
\(68\) 3.73612 + 3.43036i 0.453071 + 0.415992i
\(69\) 1.52356 + 5.02251i 0.183415 + 0.604639i
\(70\) 0.541863 + 1.65817i 0.0647650 + 0.198189i
\(71\) −0.500521 + 2.51629i −0.0594010 + 0.298629i −0.999053 0.0435019i \(-0.986149\pi\)
0.939652 + 0.342131i \(0.111149\pi\)
\(72\) 1.86808 2.12374i 0.220155 0.250286i
\(73\) 12.7280 2.53175i 1.48970 0.296319i 0.617927 0.786236i \(-0.287973\pi\)
0.871769 + 0.489917i \(0.162973\pi\)
\(74\) −5.66120 1.58633i −0.658102 0.184407i
\(75\) 0.166639 1.69191i 0.0192418 0.195365i
\(76\) −0.227740 + 0.302970i −0.0261236 + 0.0347531i
\(77\) −0.546291 0.165715i −0.0622556 0.0188850i
\(78\) −5.14418 + 5.36835i −0.582464 + 0.607846i
\(79\) 11.7115 + 4.85105i 1.31764 + 0.545786i 0.927105 0.374801i \(-0.122289\pi\)
0.390539 + 0.920587i \(0.372289\pi\)
\(80\) 4.08524 9.51380i 0.456744 1.06368i
\(81\) −0.923880 + 0.382683i −0.102653 + 0.0425204i
\(82\) −1.38616 + 3.55928i −0.153076 + 0.393057i
\(83\) 1.18319 + 2.21360i 0.129872 + 0.242974i 0.938450 0.345416i \(-0.112262\pi\)
−0.808578 + 0.588390i \(0.799762\pi\)
\(84\) 0.413046 0.858941i 0.0450670 0.0937182i
\(85\) −4.16442 5.07437i −0.451695 0.550392i
\(86\) 1.51169 1.92423i 0.163010 0.207495i
\(87\) −0.464413 0.310311i −0.0497903 0.0332688i
\(88\) 1.78495 + 2.87999i 0.190276 + 0.307008i
\(89\) 8.18624 + 12.2516i 0.867740 + 1.29866i 0.953205 + 0.302323i \(0.0977623\pi\)
−0.0854655 + 0.996341i \(0.527238\pi\)
\(90\) −2.77955 + 2.38208i −0.292991 + 0.251093i
\(91\) −1.18105 + 2.20959i −0.123808 + 0.231628i
\(92\) 1.60714 10.3732i 0.167556 1.08149i
\(93\) 5.06028 0.498394i 0.524726 0.0516810i
\(94\) 1.86423 + 2.66521i 0.192281 + 0.274896i
\(95\) 0.346863 0.346863i 0.0355874 0.0355874i
\(96\) −5.20783 + 2.20874i −0.531522 + 0.225429i
\(97\) −9.33653 9.33653i −0.947981 0.947981i 0.0507314 0.998712i \(-0.483845\pi\)
−0.998712 + 0.0507314i \(0.983845\pi\)
\(98\) −1.66794 + 9.43199i −0.168488 + 0.952775i
\(99\) −0.117418 1.19217i −0.0118010 0.119817i
\(100\) −1.76682 + 2.90512i −0.176682 + 0.290512i
\(101\) 12.4074 + 6.63187i 1.23458 + 0.659896i 0.953963 0.299924i \(-0.0969614\pi\)
0.280616 + 0.959820i \(0.409461\pi\)
\(102\) −0.275368 + 3.57591i −0.0272655 + 0.354068i
\(103\) 5.88399 3.93156i 0.579767 0.387388i −0.230828 0.972994i \(-0.574144\pi\)
0.810595 + 0.585607i \(0.199144\pi\)
\(104\) 13.9250 5.21734i 1.36546 0.511603i
\(105\) −0.685307 + 1.02563i −0.0668791 + 0.100092i
\(106\) 14.9821 1.79886i 1.45519 0.174721i
\(107\) −12.5883 + 10.3310i −1.21696 + 0.998733i −0.217215 + 0.976124i \(0.569697\pi\)
−0.999744 + 0.0226087i \(0.992803\pi\)
\(108\) 1.99692 + 0.111012i 0.192153 + 0.0106821i
\(109\) 12.0573 6.44478i 1.15488 0.617298i 0.221141 0.975242i \(-0.429022\pi\)
0.933743 + 0.357944i \(0.116522\pi\)
\(110\) −1.76413 4.01470i −0.168203 0.382786i
\(111\) −1.59092 3.84081i −0.151003 0.364554i
\(112\) −1.48897 + 1.19017i −0.140695 + 0.112461i
\(113\) 4.64812 11.2215i 0.437258 1.05563i −0.539634 0.841900i \(-0.681437\pi\)
0.976892 0.213735i \(-0.0685627\pi\)
\(114\) −0.267947 + 0.00571354i −0.0250955 + 0.000535122i
\(115\) −3.94367 + 13.0005i −0.367749 + 1.21231i
\(116\) 0.568109 + 0.961841i 0.0527476 + 0.0893047i
\(117\) −5.23214 0.515321i −0.483712 0.0476415i
\(118\) 6.43035 3.61542i 0.591962 0.332826i
\(119\) 0.235775 + 1.18532i 0.0216134 + 0.108658i
\(120\) 7.07461 1.88435i 0.645820 0.172016i
\(121\) −9.38116 1.86603i −0.852833 0.169639i
\(122\) 6.72717 13.2580i 0.609050 1.20032i
\(123\) −2.58462 + 0.784036i −0.233047 + 0.0706942i
\(124\) −9.55277 3.48767i −0.857864 0.313202i
\(125\) −5.41876 + 6.60278i −0.484669 + 0.590570i
\(126\) 0.658036 0.145540i 0.0586225 0.0129658i
\(127\) 6.09376 0.540734 0.270367 0.962757i \(-0.412855\pi\)
0.270367 + 0.962757i \(0.412855\pi\)
\(128\) 11.3012 + 0.532776i 0.998891 + 0.0470912i
\(129\) 1.73030 0.152344
\(130\) −18.7915 + 4.15618i −1.64812 + 0.364521i
\(131\) −4.37355 + 5.32918i −0.382119 + 0.465613i −0.928180 0.372133i \(-0.878627\pi\)
0.546061 + 0.837745i \(0.316127\pi\)
\(132\) −0.821671 + 2.25057i −0.0715173 + 0.195887i
\(133\) −0.0864218 + 0.0262158i −0.00749372 + 0.00227319i
\(134\) −4.89132 + 9.63988i −0.422546 + 0.832759i
\(135\) −2.53872 0.504983i −0.218498 0.0434620i
\(136\) 3.59575 6.20665i 0.308333 0.532216i
\(137\) 0.924280 + 4.64667i 0.0789666 + 0.396992i 0.999972 + 0.00744276i \(0.00236913\pi\)
−0.921006 + 0.389549i \(0.872631\pi\)
\(138\) 6.46999 3.63770i 0.550762 0.309662i
\(139\) −11.4331 1.12606i −0.969740 0.0955110i −0.399273 0.916832i \(-0.630738\pi\)
−0.570466 + 0.821321i \(0.693238\pi\)
\(140\) 2.12418 1.25464i 0.179526 0.106037i
\(141\) −0.667614 + 2.20083i −0.0562233 + 0.185343i
\(142\) 3.62747 0.0773498i 0.304410 0.00649105i
\(143\) 2.41018 5.81868i 0.201549 0.486583i
\(144\) −3.50308 1.93092i −0.291923 0.160910i
\(145\) −0.553271 1.33571i −0.0459467 0.110925i
\(146\) −7.38315 16.8021i −0.611034 1.39055i
\(147\) −5.97317 + 3.19272i −0.492659 + 0.263331i
\(148\) −0.461506 + 8.30171i −0.0379355 + 0.682396i
\(149\) −14.9050 + 12.2322i −1.22107 + 1.00210i −0.221428 + 0.975177i \(0.571072\pi\)
−0.999637 + 0.0269258i \(0.991428\pi\)
\(150\) −2.38716 + 0.286619i −0.194911 + 0.0234023i
\(151\) −12.4572 + 18.6435i −1.01375 + 1.51718i −0.166463 + 0.986048i \(0.553235\pi\)
−0.847287 + 0.531136i \(0.821765\pi\)
\(152\) 0.487908 + 0.221945i 0.0395745 + 0.0180021i
\(153\) −2.10864 + 1.40895i −0.170473 + 0.113907i
\(154\) −0.0619864 + 0.804952i −0.00499500 + 0.0648649i
\(155\) 11.6076 + 6.20437i 0.932342 + 0.498347i
\(156\) 8.98391 + 5.46378i 0.719288 + 0.437453i
\(157\) 0.356854 + 3.62319i 0.0284800 + 0.289162i 0.998866 + 0.0476040i \(0.0151585\pi\)
−0.970386 + 0.241558i \(0.922341\pi\)
\(158\) 3.12178 17.6533i 0.248356 1.40442i
\(159\) 7.54487 + 7.54487i 0.598347 + 0.598347i
\(160\) −14.3847 2.73551i −1.13721 0.216261i
\(161\) 1.76859 1.76859i 0.139384 0.139384i
\(162\) 0.810584 + 1.15886i 0.0636855 + 0.0910485i
\(163\) −23.9334 + 2.35724i −1.87461 + 0.184633i −0.970245 0.242124i \(-0.922156\pi\)
−0.904366 + 0.426757i \(0.859656\pi\)
\(164\) 5.33816 + 0.827048i 0.416840 + 0.0645816i
\(165\) 1.46171 2.73466i 0.113794 0.212893i
\(166\) 2.69527 2.30985i 0.209194 0.179279i
\(167\) −9.30585 13.9272i −0.720108 1.07772i −0.993278 0.115752i \(-0.963072\pi\)
0.273170 0.961966i \(-0.411928\pi\)
\(168\) −1.31221 0.308026i −0.101239 0.0237647i
\(169\) −12.1734 8.13404i −0.936419 0.625695i
\(170\) −5.73506 + 7.30016i −0.439859 + 0.559897i
\(171\) −0.120224 0.146493i −0.00919376 0.0112026i
\(172\) −3.11874 1.49973i −0.237801 0.114354i
\(173\) 9.04474 + 16.9215i 0.687659 + 1.28652i 0.947155 + 0.320775i \(0.103943\pi\)
−0.259497 + 0.965744i \(0.583557\pi\)
\(174\) −0.286656 + 0.736052i −0.0217313 + 0.0557999i
\(175\) −0.748506 + 0.310041i −0.0565818 + 0.0234369i
\(176\) 3.43168 3.34430i 0.258673 0.252086i
\(177\) 4.81928 + 1.99621i 0.362239 + 0.150044i
\(178\) 14.4174 15.0456i 1.08063 1.12772i
\(179\) −4.11375 1.24789i −0.307476 0.0932718i 0.132776 0.991146i \(-0.457611\pi\)
−0.440252 + 0.897874i \(0.645111\pi\)
\(180\) 4.13817 + 3.11063i 0.308441 + 0.231852i
\(181\) 1.09903 11.1587i 0.0816904 0.829417i −0.863815 0.503810i \(-0.831931\pi\)
0.945505 0.325607i \(-0.105569\pi\)
\(182\) 3.41179 + 0.956021i 0.252899 + 0.0708650i
\(183\) 10.3106 2.05091i 0.762182 0.151607i
\(184\) −14.8147 + 0.948846i −1.09215 + 0.0699498i
\(185\) 2.09935 10.5541i 0.154347 0.775955i
\(186\) −2.23364 6.83524i −0.163779 0.501184i
\(187\) −0.881888 2.90719i −0.0644900 0.212595i
\(188\) 3.11089 3.38818i 0.226885 0.247109i
\(189\) 0.368376 + 0.302318i 0.0267954 + 0.0219904i
\(190\) −0.584898 0.373030i −0.0424330 0.0270624i
\(191\) 15.7088i 1.13665i −0.822806 0.568323i \(-0.807592\pi\)
0.822806 0.568323i \(-0.192408\pi\)
\(192\) 4.64043 + 6.51663i 0.334894 + 0.470297i
\(193\) 10.9351i 0.787123i −0.919298 0.393561i \(-0.871243\pi\)
0.919298 0.393561i \(-0.128757\pi\)
\(194\) −10.0408 + 15.7437i −0.720891 + 1.13033i
\(195\) −10.5197 8.63327i −0.753329 0.618241i
\(196\) 13.5335 0.577422i 0.966678 0.0412444i
\(197\) 3.11786 + 10.2782i 0.222138 + 0.732292i 0.995191 + 0.0979506i \(0.0312287\pi\)
−0.773053 + 0.634342i \(0.781271\pi\)
\(198\) −1.61033 + 0.526231i −0.114442 + 0.0373976i
\(199\) −2.87659 + 14.4616i −0.203916 + 1.02515i 0.734226 + 0.678905i \(0.237545\pi\)
−0.938142 + 0.346250i \(0.887455\pi\)
\(200\) 4.55111 + 1.55246i 0.321812 + 0.109775i
\(201\) −7.49683 + 1.49121i −0.528786 + 0.105182i
\(202\) 5.36829 19.1580i 0.377711 1.34795i
\(203\) −0.0260895 + 0.264891i −0.00183112 + 0.0185917i
\(204\) 5.02187 0.711867i 0.351601 0.0498406i
\(205\) −6.69018 2.02944i −0.467262 0.141742i
\(206\) −7.22587 6.92415i −0.503450 0.482428i
\(207\) 4.84899 + 2.00852i 0.337028 + 0.139601i
\(208\) −11.4571 17.6349i −0.794409 1.22276i
\(209\) 0.209740 0.0868772i 0.0145080 0.00600942i
\(210\) 1.62554 + 0.633066i 0.112173 + 0.0436857i
\(211\) 2.40880 + 4.50656i 0.165829 + 0.310244i 0.951086 0.308925i \(-0.0999694\pi\)
−0.785257 + 0.619170i \(0.787469\pi\)
\(212\) −7.05958 20.1386i −0.484854 1.38312i
\(213\) 1.62759 + 1.98323i 0.111521 + 0.135888i
\(214\) 18.1100 + 14.2274i 1.23797 + 0.972562i
\(215\) 3.72398 + 2.48829i 0.253974 + 0.169700i
\(216\) −0.456581 2.79133i −0.0310664 0.189926i
\(217\) −1.34622 2.01476i −0.0913872 0.136771i
\(218\) −12.5816 14.6810i −0.852135 0.994324i
\(219\) 6.11747 11.4450i 0.413380 0.773380i
\(220\) −5.00489 + 3.66210i −0.337430 + 0.246899i
\(221\) −13.2689 + 1.30687i −0.892564 + 0.0879099i
\(222\) −4.81768 + 3.36981i −0.323342 + 0.226167i
\(223\) 11.1011 11.1011i 0.743384 0.743384i −0.229843 0.973228i \(-0.573821\pi\)
0.973228 + 0.229843i \(0.0738214\pi\)
\(224\) 2.09818 + 1.69255i 0.140191 + 0.113088i
\(225\) −1.20215 1.20215i −0.0801435 0.0801435i
\(226\) −16.9148 2.99119i −1.12515 0.198971i
\(227\) −2.76710 28.0948i −0.183659 1.86472i −0.439823 0.898084i \(-0.644959\pi\)
0.256165 0.966633i \(-0.417541\pi\)
\(228\) 0.0897222 + 0.368248i 0.00594200 + 0.0243878i
\(229\) −18.0867 9.66755i −1.19520 0.638850i −0.250928 0.968006i \(-0.580736\pi\)
−0.944276 + 0.329156i \(0.893236\pi\)
\(230\) 19.1561 + 1.47514i 1.26312 + 0.0972679i
\(231\) −0.474663 + 0.317160i −0.0312305 + 0.0208676i
\(232\) 1.15465 1.07822i 0.0758063 0.0707887i
\(233\) −4.56129 + 6.82645i −0.298820 + 0.447216i −0.950248 0.311495i \(-0.899170\pi\)
0.651428 + 0.758711i \(0.274170\pi\)
\(234\) 0.886352 + 7.38215i 0.0579427 + 0.482586i
\(235\) −4.60180 + 3.77660i −0.300188 + 0.246358i
\(236\) −6.95619 7.77513i −0.452810 0.506118i
\(237\) 11.1796 5.97562i 0.726193 0.388158i
\(238\) 1.56473 0.687572i 0.101427 0.0445686i
\(239\) −5.95227 14.3700i −0.385020 0.929521i −0.990978 0.134024i \(-0.957210\pi\)
0.605958 0.795497i \(-0.292790\pi\)
\(240\) −4.76261 9.19343i −0.307425 0.593433i
\(241\) −2.54256 + 6.13829i −0.163781 + 0.395402i −0.984369 0.176118i \(-0.943646\pi\)
0.820588 + 0.571520i \(0.193646\pi\)
\(242\) 0.288373 + 13.5238i 0.0185373 + 0.869343i
\(243\) −0.290285 + 0.956940i −0.0186218 + 0.0613878i
\(244\) −20.3617 5.24009i −1.30353 0.335462i
\(245\) −17.4469 1.71837i −1.11464 0.109783i
\(246\) 1.87199 + 3.32951i 0.119354 + 0.212282i
\(247\) −0.194377 0.977198i −0.0123679 0.0621776i
\(248\) −1.89845 + 14.2560i −0.120552 + 0.905259i
\(249\) 2.46174 + 0.489671i 0.156007 + 0.0310316i
\(250\) 10.7723 + 5.46593i 0.681302 + 0.345696i
\(251\) 8.60521 2.61036i 0.543156 0.164765i −0.00677132 0.999977i \(-0.502155\pi\)
0.549927 + 0.835212i \(0.314655\pi\)
\(252\) −0.401937 0.864196i −0.0253196 0.0544392i
\(253\) −3.98866 + 4.86020i −0.250765 + 0.305558i
\(254\) −1.86107 8.41452i −0.116774 0.527974i
\(255\) −6.56442 −0.411080
\(256\) −2.71577 15.7678i −0.169735 0.985490i
\(257\) −7.82330 −0.488004 −0.244002 0.969775i \(-0.578460\pi\)
−0.244002 + 0.969775i \(0.578460\pi\)
\(258\) −0.528444 2.38927i −0.0328995 0.148749i
\(259\) −1.25682 + 1.53143i −0.0780947 + 0.0951587i
\(260\) 11.4781 + 24.6787i 0.711840 + 1.53051i
\(261\) −0.534494 + 0.162137i −0.0330843 + 0.0100360i
\(262\) 8.69447 + 4.41162i 0.537146 + 0.272550i
\(263\) 27.0712 + 5.38479i 1.66928 + 0.332040i 0.937097 0.349068i \(-0.113502\pi\)
0.732183 + 0.681108i \(0.238502\pi\)
\(264\) 3.35862 + 0.447261i 0.206709 + 0.0275270i
\(265\) 5.38819 + 27.0883i 0.330994 + 1.66402i
\(266\) 0.0625936 + 0.111328i 0.00383786 + 0.00682598i
\(267\) 14.6639 + 1.44427i 0.897416 + 0.0883877i
\(268\) 14.8050 + 3.81006i 0.904360 + 0.232737i
\(269\) −3.00279 + 9.89886i −0.183083 + 0.603544i 0.816571 + 0.577245i \(0.195872\pi\)
−0.999654 + 0.0262990i \(0.991628\pi\)
\(270\) 0.0780392 + 3.65980i 0.00474931 + 0.222728i
\(271\) 8.49488 20.5085i 0.516027 1.24580i −0.424298 0.905523i \(-0.639479\pi\)
0.940325 0.340277i \(-0.110521\pi\)
\(272\) −9.66857 3.06961i −0.586243 0.186123i
\(273\) 0.958785 + 2.31471i 0.0580283 + 0.140093i
\(274\) 6.13404 2.69541i 0.370571 0.162836i
\(275\) 1.79613 0.960051i 0.108311 0.0578933i
\(276\) −6.99907 7.82306i −0.421294 0.470893i
\(277\) −9.06367 + 7.43836i −0.544583 + 0.446928i −0.866025 0.500002i \(-0.833333\pi\)
0.321441 + 0.946930i \(0.395833\pi\)
\(278\) 1.93682 + 16.1312i 0.116163 + 0.967483i
\(279\) 2.82494 4.22782i 0.169125 0.253113i
\(280\) −2.38120 2.54999i −0.142304 0.152391i
\(281\) −13.8283 + 9.23974i −0.824924 + 0.551197i −0.894856 0.446355i \(-0.852722\pi\)
0.0699317 + 0.997552i \(0.477722\pi\)
\(282\) 3.24289 + 0.249723i 0.193111 + 0.0148708i
\(283\) 22.6662 + 12.1153i 1.34736 + 0.720181i 0.977902 0.209065i \(-0.0670419\pi\)
0.369462 + 0.929246i \(0.379542\pi\)
\(284\) −1.21466 4.98534i −0.0720767 0.295825i
\(285\) −0.0480812 0.488177i −0.00284809 0.0289171i
\(286\) −8.77077 1.55101i −0.518626 0.0917134i
\(287\) 0.910128 + 0.910128i 0.0537232 + 0.0537232i
\(288\) −1.59643 + 5.42692i −0.0940705 + 0.319784i
\(289\) 7.47307 7.47307i 0.439592 0.439592i
\(290\) −1.67544 + 1.17192i −0.0983852 + 0.0688173i
\(291\) −13.1403 + 1.29420i −0.770296 + 0.0758675i
\(292\) −20.9462 + 15.3264i −1.22578 + 0.896912i
\(293\) −0.777571 + 1.45473i −0.0454262 + 0.0849865i −0.903610 0.428356i \(-0.859093\pi\)
0.858184 + 0.513342i \(0.171593\pi\)
\(294\) 6.23289 + 7.27293i 0.363510 + 0.424166i
\(295\) 7.50147 + 11.2267i 0.436753 + 0.653646i
\(296\) 11.6043 1.89813i 0.674486 0.110326i
\(297\) −0.996047 0.665537i −0.0577965 0.0386184i
\(298\) 21.4429 + 16.8457i 1.24215 + 0.975843i
\(299\) 17.5053 + 21.3303i 1.01236 + 1.23356i
\(300\) 1.12483 + 3.20876i 0.0649421 + 0.185258i
\(301\) −0.388698 0.727203i −0.0224042 0.0419153i
\(302\) 29.5482 + 11.5076i 1.70031 + 0.662185i
\(303\) 12.9977 5.38380i 0.746696 0.309291i
\(304\) 0.157460 0.741507i 0.00903098 0.0425283i
\(305\) 25.1401 + 10.4134i 1.43952 + 0.596267i
\(306\) 2.58953 + 2.48140i 0.148033 + 0.141852i
\(307\) 22.6515 + 6.87125i 1.29279 + 0.392163i 0.860444 0.509545i \(-0.170186\pi\)
0.432345 + 0.901708i \(0.357686\pi\)
\(308\) 1.13044 0.160244i 0.0644130 0.00913075i
\(309\) 0.693630 7.04254i 0.0394592 0.400636i
\(310\) 5.02224 17.9231i 0.285244 1.01796i
\(311\) −22.7327 + 4.52182i −1.28905 + 0.256409i −0.791578 0.611069i \(-0.790740\pi\)
−0.497477 + 0.867477i \(0.665740\pi\)
\(312\) 4.80088 14.0740i 0.271796 0.796786i
\(313\) 1.76226 8.85950i 0.0996090 0.500768i −0.898482 0.439010i \(-0.855329\pi\)
0.998091 0.0617583i \(-0.0196708\pi\)
\(314\) 4.89408 1.59931i 0.276189 0.0902540i
\(315\) 0.358072 + 1.18040i 0.0201751 + 0.0665083i
\(316\) −25.3298 + 1.08072i −1.42491 + 0.0607955i
\(317\) 9.01747 + 7.40045i 0.506472 + 0.415651i 0.852622 0.522529i \(-0.175011\pi\)
−0.346150 + 0.938179i \(0.612511\pi\)
\(318\) 8.11403 12.7225i 0.455012 0.713444i
\(319\) 0.669100i 0.0374624i
\(320\) 0.615880 + 20.6985i 0.0344287 + 1.15708i
\(321\) 16.2848i 0.908929i
\(322\) −2.98228 1.90200i −0.166196 0.105994i
\(323\) −0.371513 0.304893i −0.0206715 0.0169647i
\(324\) 1.35264 1.47321i 0.0751469 0.0818451i
\(325\) −2.59463 8.55333i −0.143924 0.474454i
\(326\) 10.5644 + 32.3284i 0.585108 + 1.79050i
\(327\) 2.66721 13.4090i 0.147497 0.741518i
\(328\) −0.488284 7.62374i −0.0269609 0.420951i
\(329\) 1.07493 0.213817i 0.0592629 0.0117881i
\(330\) −4.22255 1.18321i −0.232444 0.0651333i
\(331\) 1.42094 14.4270i 0.0781017 0.792980i −0.873741 0.486392i \(-0.838313\pi\)
0.951842 0.306588i \(-0.0991873\pi\)
\(332\) −4.01269 3.01631i −0.220225 0.165541i
\(333\) −3.97825 1.20679i −0.218007 0.0661317i
\(334\) −16.3892 + 17.1034i −0.896777 + 0.935855i
\(335\) −18.2793 7.57154i −0.998705 0.413677i
\(336\) −0.0245781 + 1.90603i −0.00134085 + 0.103982i
\(337\) −22.1724 + 9.18409i −1.20781 + 0.500289i −0.893513 0.449037i \(-0.851767\pi\)
−0.314292 + 0.949326i \(0.601767\pi\)
\(338\) −7.51398 + 19.2938i −0.408707 + 1.04944i
\(339\) −5.72564 10.7119i −0.310974 0.581792i
\(340\) 11.8319 + 5.68970i 0.641675 + 0.308567i
\(341\) 3.86423 + 4.70857i 0.209260 + 0.254984i
\(342\) −0.165567 + 0.210751i −0.00895285 + 0.0113961i
\(343\) 5.45729 + 3.64645i 0.294666 + 0.196890i
\(344\) −1.11841 + 4.76451i −0.0603008 + 0.256885i
\(345\) 7.54771 + 11.2959i 0.406355 + 0.608153i
\(346\) 20.6036 17.6573i 1.10766 0.949262i
\(347\) 12.8057 23.9578i 0.687445 1.28612i −0.259816 0.965658i \(-0.583662\pi\)
0.947262 0.320461i \(-0.103838\pi\)
\(348\) 1.10392 + 0.171032i 0.0591762 + 0.00916825i
\(349\) 0.392417 0.0386497i 0.0210056 0.00206887i −0.0875089 0.996164i \(-0.527891\pi\)
0.108514 + 0.994095i \(0.465391\pi\)
\(350\) 0.656717 + 0.938881i 0.0351030 + 0.0501853i
\(351\) −3.71759 + 3.71759i −0.198430 + 0.198430i
\(352\) −5.66601 3.71724i −0.302000 0.198129i
\(353\) −12.9704 12.9704i −0.690347 0.690347i 0.271961 0.962308i \(-0.412328\pi\)
−0.962308 + 0.271961i \(0.912328\pi\)
\(354\) 1.28462 7.26433i 0.0682765 0.386095i
\(355\) 0.650923 + 6.60893i 0.0345474 + 0.350766i
\(356\) −25.1788 15.3131i −1.33447 0.811593i
\(357\) 1.06584 + 0.569702i 0.0564101 + 0.0301518i
\(358\) −0.466778 + 6.06155i −0.0246700 + 0.320363i
\(359\) −3.03362 + 2.02700i −0.160108 + 0.106981i −0.633043 0.774116i \(-0.718195\pi\)
0.472935 + 0.881097i \(0.343195\pi\)
\(360\) 3.03146 6.66416i 0.159772 0.351232i
\(361\) −10.5359 + 15.7681i −0.554520 + 0.829898i
\(362\) −15.7440 + 1.89034i −0.827487 + 0.0993538i
\(363\) −7.39381 + 6.06794i −0.388074 + 0.318484i
\(364\) 0.278132 5.00313i 0.0145781 0.262235i
\(365\) 29.6248 15.8348i 1.55063 0.828831i
\(366\) −5.98090 13.6110i −0.312627 0.711457i
\(367\) −14.3057 34.5370i −0.746752 1.80282i −0.575898 0.817522i \(-0.695347\pi\)
−0.170854 0.985296i \(-0.554653\pi\)
\(368\) 5.83470 + 20.1669i 0.304155 + 1.05127i
\(369\) −1.03360 + 2.49533i −0.0538070 + 0.129901i
\(370\) −15.2147 + 0.324429i −0.790977 + 0.0168663i
\(371\) 1.47603 4.86583i 0.0766319 0.252621i
\(372\) −8.75622 + 5.17184i −0.453989 + 0.268147i
\(373\) −14.4194 1.42019i −0.746610 0.0735347i −0.282445 0.959283i \(-0.591146\pi\)
−0.464165 + 0.885749i \(0.653646\pi\)
\(374\) −3.74504 + 2.10562i −0.193652 + 0.108879i
\(375\) 1.66639 + 8.37752i 0.0860521 + 0.432613i
\(376\) −5.62863 3.26088i −0.290275 0.168167i
\(377\) −2.88010 0.572887i −0.148333 0.0295052i
\(378\) 0.304949 0.600999i 0.0156849 0.0309120i
\(379\) −18.0327 + 5.47016i −0.926277 + 0.280983i −0.717161 0.696908i \(-0.754559\pi\)
−0.209116 + 0.977891i \(0.567059\pi\)
\(380\) −0.336464 + 0.921578i −0.0172602 + 0.0472760i
\(381\) 3.86584 4.71054i 0.198053 0.241328i
\(382\) −21.6913 + 4.79755i −1.10983 + 0.245464i
\(383\) 9.22657 0.471455 0.235728 0.971819i \(-0.424253\pi\)
0.235728 + 0.971819i \(0.424253\pi\)
\(384\) 7.58122 8.39792i 0.386877 0.428555i
\(385\) −1.47768 −0.0753094
\(386\) −15.0996 + 3.33964i −0.768549 + 0.169983i
\(387\) 1.09769 1.33754i 0.0557987 0.0679909i
\(388\) 24.8061 + 9.05660i 1.25934 + 0.459779i
\(389\) 19.3739 5.87701i 0.982296 0.297976i 0.242014 0.970273i \(-0.422192\pi\)
0.740282 + 0.672296i \(0.234692\pi\)
\(390\) −8.70841 + 17.1627i −0.440968 + 0.869065i
\(391\) 13.0546 + 2.59673i 0.660202 + 0.131322i
\(392\) −4.93054 18.5113i −0.249030 0.934961i
\(393\) 1.34496 + 6.76160i 0.0678445 + 0.341077i
\(394\) 13.2404 7.44431i 0.667041 0.375039i
\(395\) 32.6543 + 3.21617i 1.64302 + 0.161823i
\(396\) 1.21845 + 2.06290i 0.0612294 + 0.103665i
\(397\) 5.55525 18.3132i 0.278810 0.919114i −0.699965 0.714177i \(-0.746801\pi\)
0.978775 0.204937i \(-0.0656988\pi\)
\(398\) 20.8477 0.444543i 1.04500 0.0222829i
\(399\) −0.0345603 + 0.0834360i −0.00173018 + 0.00417703i
\(400\) 0.753762 6.75850i 0.0376881 0.337925i
\(401\) 2.00434 + 4.83890i 0.100092 + 0.241643i 0.965991 0.258575i \(-0.0832530\pi\)
−0.865899 + 0.500219i \(0.833253\pi\)
\(402\) 4.34871 + 9.89652i 0.216894 + 0.493594i
\(403\) 23.5763 12.6018i 1.17442 0.627741i
\(404\) −28.0937 1.56178i −1.39772 0.0777013i
\(405\) −2.00090 + 1.64210i −0.0994257 + 0.0815965i
\(406\) 0.373740 0.0448739i 0.0185484 0.00222705i
\(407\) 2.76681 4.14083i 0.137146 0.205253i
\(408\) −2.51669 6.71701i −0.124595 0.332541i
\(409\) 21.5680 14.4113i 1.06647 0.712591i 0.106957 0.994264i \(-0.465889\pi\)
0.959510 + 0.281673i \(0.0908894\pi\)
\(410\) −0.759119 + 9.85789i −0.0374902 + 0.486846i
\(411\) 4.17828 + 2.23334i 0.206099 + 0.110162i
\(412\) −7.35433 + 12.0925i −0.362322 + 0.595753i
\(413\) −0.243655 2.47387i −0.0119895 0.121731i
\(414\) 1.29253 7.30910i 0.0635246 0.359223i
\(415\) 4.59403 + 4.59403i 0.225512 + 0.225512i
\(416\) −20.8519 + 21.2063i −1.02235 + 1.03972i
\(417\) −8.12351 + 8.12351i −0.397810 + 0.397810i
\(418\) −0.184020 0.263085i −0.00900070 0.0128679i
\(419\) 10.3110 1.01554i 0.503724 0.0496124i 0.157036 0.987593i \(-0.449806\pi\)
0.346688 + 0.937980i \(0.387306\pi\)
\(420\) 0.377715 2.43795i 0.0184306 0.118960i
\(421\) −5.91142 + 11.0595i −0.288105 + 0.539006i −0.983786 0.179344i \(-0.942602\pi\)
0.695682 + 0.718350i \(0.255102\pi\)
\(422\) 5.48718 4.70251i 0.267112 0.228915i
\(423\) 1.27773 + 1.91226i 0.0621256 + 0.0929775i
\(424\) −25.6522 + 15.8986i −1.24578 + 0.772105i
\(425\) −3.58490 2.39535i −0.173893 0.116192i
\(426\) 2.24145 2.85314i 0.108598 0.138235i
\(427\) −3.17815 3.87259i −0.153801 0.187408i
\(428\) 14.1148 29.3522i 0.682266 1.41879i
\(429\) −2.96890 5.55443i −0.143340 0.268170i
\(430\) 2.29860 5.90217i 0.110849 0.284628i
\(431\) 1.09055 0.451720i 0.0525299 0.0217586i −0.356264 0.934385i \(-0.615950\pi\)
0.408794 + 0.912627i \(0.365950\pi\)
\(432\) −3.71495 + 1.48296i −0.178736 + 0.0713488i
\(433\) 17.2417 + 7.14173i 0.828581 + 0.343210i 0.756341 0.654178i \(-0.226985\pi\)
0.0722402 + 0.997387i \(0.476985\pi\)
\(434\) −2.37092 + 2.47423i −0.113808 + 0.118767i
\(435\) −1.38351 0.419684i −0.0663344 0.0201223i
\(436\) −16.4297 + 21.8569i −0.786838 + 1.04676i
\(437\) −0.0974923 + 0.989856i −0.00466369 + 0.0473512i
\(438\) −17.6720 4.95189i −0.844402 0.236611i
\(439\) −34.4191 + 6.84638i −1.64273 + 0.326760i −0.927983 0.372622i \(-0.878459\pi\)
−0.714749 + 0.699381i \(0.753459\pi\)
\(440\) 6.58531 + 5.79254i 0.313942 + 0.276148i
\(441\) −1.32133 + 6.64276i −0.0629204 + 0.316322i
\(442\) 5.85700 + 17.9232i 0.278589 + 0.852518i
\(443\) −5.72403 18.8696i −0.271957 0.896522i −0.981435 0.191794i \(-0.938569\pi\)
0.709478 0.704727i \(-0.248931\pi\)
\(444\) 6.12453 + 5.62330i 0.290657 + 0.266870i
\(445\) 29.4830 + 24.1961i 1.39763 + 1.14700i
\(446\) −18.7192 11.9385i −0.886380 0.565305i
\(447\) 19.2818i 0.911996i
\(448\) 1.69635 3.41418i 0.0801449 0.161305i
\(449\) 31.1264i 1.46894i −0.678639 0.734472i \(-0.737430\pi\)
0.678639 0.734472i \(-0.262570\pi\)
\(450\) −1.29284 + 2.02713i −0.0609450 + 0.0955598i
\(451\) −2.50110 2.05260i −0.117772 0.0966531i
\(452\) 1.03551 + 24.2702i 0.0487065 + 1.14157i
\(453\) 6.50885 + 21.4568i 0.305812 + 1.00813i
\(454\) −37.9494 + 12.4013i −1.78105 + 0.582020i
\(455\) −1.26520 + 6.36057i −0.0593133 + 0.298188i
\(456\) 0.481091 0.236358i 0.0225291 0.0110685i
\(457\) 12.4310 2.47267i 0.581496 0.115667i 0.104427 0.994533i \(-0.466699\pi\)
0.477069 + 0.878866i \(0.341699\pi\)
\(458\) −7.82557 + 27.9274i −0.365665 + 1.30496i
\(459\) −0.248575 + 2.52383i −0.0116025 + 0.117802i
\(460\) −3.81346 26.9021i −0.177803 1.25432i
\(461\) −9.22746 2.79912i −0.429766 0.130368i 0.0679886 0.997686i \(-0.478342\pi\)
−0.497754 + 0.867318i \(0.665842\pi\)
\(462\) 0.582913 + 0.558572i 0.0271195 + 0.0259871i
\(463\) 19.1868 + 7.94743i 0.891686 + 0.369349i 0.781018 0.624509i \(-0.214701\pi\)
0.110669 + 0.993857i \(0.464701\pi\)
\(464\) −1.84149 1.26509i −0.0854891 0.0587304i
\(465\) 12.1598 5.03676i 0.563897 0.233574i
\(466\) 10.8193 + 4.21358i 0.501194 + 0.195190i
\(467\) 1.64903 + 3.08511i 0.0763078 + 0.142762i 0.917182 0.398469i \(-0.130458\pi\)
−0.840874 + 0.541231i \(0.817958\pi\)
\(468\) 9.92289 3.47847i 0.458686 0.160792i
\(469\) 2.31083 + 2.81575i 0.106704 + 0.130019i
\(470\) 6.62031 + 5.20096i 0.305372 + 0.239903i
\(471\) 3.02715 + 2.02268i 0.139484 + 0.0932001i
\(472\) −8.61177 + 11.9800i −0.396389 + 0.551424i
\(473\) 1.15158 + 1.72346i 0.0529496 + 0.0792446i
\(474\) −11.6657 13.6123i −0.535824 0.625232i
\(475\) 0.151878 0.284143i 0.00696863 0.0130374i
\(476\) −1.42731 1.95066i −0.0654205 0.0894084i
\(477\) 10.6187 1.04585i 0.486196 0.0478861i
\(478\) −18.0249 + 12.6078i −0.824440 + 0.576670i
\(479\) −30.2774 + 30.2774i −1.38341 + 1.38341i −0.544929 + 0.838482i \(0.683443\pi\)
−0.838482 + 0.544929i \(0.816557\pi\)
\(480\) −11.2401 + 9.38415i −0.513040 + 0.428326i
\(481\) −15.4550 15.4550i −0.704687 0.704687i
\(482\) 9.25252 + 1.63621i 0.421441 + 0.0745271i
\(483\) −0.245156 2.48911i −0.0111550 0.113259i
\(484\) 18.5862 4.52845i 0.844827 0.205839i
\(485\) −30.1419 16.1112i −1.36867 0.731572i
\(486\) 1.41004 + 0.108582i 0.0639607 + 0.00492537i
\(487\) 4.44401 2.96939i 0.201377 0.134556i −0.450793 0.892629i \(-0.648859\pi\)
0.652170 + 0.758073i \(0.273859\pi\)
\(488\) −1.01714 + 29.7167i −0.0460436 + 1.34521i
\(489\) −13.3610 + 19.9962i −0.604207 + 0.904260i
\(490\) 2.95560 + 24.6163i 0.133520 + 1.11205i
\(491\) −16.7315 + 13.7312i −0.755082 + 0.619679i −0.931124 0.364703i \(-0.881170\pi\)
0.176042 + 0.984383i \(0.443670\pi\)
\(492\) 4.02581 3.60178i 0.181497 0.162381i
\(493\) −1.24923 + 0.667729i −0.0562626 + 0.0300730i
\(494\) −1.28999 + 0.566846i −0.0580396 + 0.0255036i
\(495\) −1.18663 2.86477i −0.0533348 0.128762i
\(496\) 20.2651 1.73242i 0.909931 0.0777881i
\(497\) 0.467877 1.12956i 0.0209872 0.0506675i
\(498\) −0.0756730 3.54883i −0.00339099 0.159027i
\(499\) 7.78249 25.6554i 0.348392 1.14849i −0.591294 0.806456i \(-0.701383\pi\)
0.939686 0.342038i \(-0.111117\pi\)
\(500\) 4.25765 16.5442i 0.190408 0.739880i
\(501\) −16.6694 1.64180i −0.744735 0.0733500i
\(502\) −6.23258 11.0852i −0.278174 0.494758i
\(503\) −6.91647 34.7714i −0.308390 1.55038i −0.755044 0.655674i \(-0.772385\pi\)
0.446654 0.894707i \(-0.352615\pi\)
\(504\) −1.07056 + 0.818942i −0.0476867 + 0.0364786i
\(505\) 35.7161 + 7.10438i 1.58935 + 0.316141i
\(506\) 7.92934 + 4.02338i 0.352502 + 0.178861i
\(507\) −14.0105 + 4.25002i −0.622226 + 0.188750i
\(508\) −11.0507 + 5.13970i −0.490298 + 0.228037i
\(509\) 9.26366 11.2878i 0.410604 0.500323i −0.526110 0.850416i \(-0.676350\pi\)
0.936715 + 0.350093i \(0.113850\pi\)
\(510\) 2.00482 + 9.06443i 0.0887747 + 0.401380i
\(511\) −6.18430 −0.273577
\(512\) −20.9435 + 8.56564i −0.925580 + 0.378551i
\(513\) −0.189510 −0.00836708
\(514\) 2.38929 + 10.8028i 0.105387 + 0.476489i
\(515\) 11.6205 14.1596i 0.512061 0.623948i
\(516\) −3.13781 + 1.45940i −0.138135 + 0.0642463i
\(517\) −2.63645 + 0.799759i −0.115951 + 0.0351734i
\(518\) 2.49851 + 1.26776i 0.109778 + 0.0557020i
\(519\) 18.8184 + 3.74322i 0.826037 + 0.164309i
\(520\) 30.5720 23.3865i 1.34067 1.02556i
\(521\) 0.585842 + 2.94523i 0.0256662 + 0.129033i 0.991494 0.130151i \(-0.0415463\pi\)
−0.965828 + 0.259184i \(0.916546\pi\)
\(522\) 0.387123 + 0.688534i 0.0169439 + 0.0301363i
\(523\) 5.80483 + 0.571726i 0.253828 + 0.0249998i 0.224131 0.974559i \(-0.428046\pi\)
0.0296969 + 0.999559i \(0.490546\pi\)
\(524\) 3.43640 13.3530i 0.150120 0.583330i
\(525\) −0.235182 + 0.775291i −0.0102642 + 0.0338365i
\(526\) −0.832157 39.0256i −0.0362838 1.70160i
\(527\) 4.93476 11.9136i 0.214962 0.518963i
\(528\) −0.408147 4.77433i −0.0177623 0.207776i
\(529\) −1.73998 4.20069i −0.0756515 0.182639i
\(530\) 35.7591 15.7132i 1.55327 0.682537i
\(531\) 4.60041 2.45897i 0.199641 0.106710i
\(532\) 0.134611 0.120432i 0.00583611 0.00522140i
\(533\) −10.9767 + 9.00838i −0.475455 + 0.390196i
\(534\) −2.48414 20.6896i −0.107499 0.895328i
\(535\) −23.4187 + 35.0485i −1.01248 + 1.51528i
\(536\) 0.739558 21.6070i 0.0319441 0.933280i
\(537\) −3.57437 + 2.38832i −0.154245 + 0.103063i
\(538\) 14.5858 + 1.12320i 0.628840 + 0.0484246i
\(539\) −7.15547 3.82468i −0.308208 0.164741i
\(540\) 5.02977 1.22548i 0.216447 0.0527365i
\(541\) −0.0326265 0.331262i −0.00140272 0.0142421i 0.994458 0.105136i \(-0.0335277\pi\)
−0.995861 + 0.0908936i \(0.971028\pi\)
\(542\) −30.9133 5.46668i −1.32784 0.234814i
\(543\) −7.92855 7.92855i −0.340246 0.340246i
\(544\) −1.28581 + 14.2883i −0.0551286 + 0.612604i
\(545\) 25.0235 25.0235i 1.07189 1.07189i
\(546\) 2.90343 2.03086i 0.124255 0.0869127i
\(547\) 6.13670 0.604412i 0.262386 0.0258428i 0.0340315 0.999421i \(-0.489165\pi\)
0.228355 + 0.973578i \(0.426665\pi\)
\(548\) −5.59531 7.64695i −0.239020 0.326662i
\(549\) 4.95561 9.27129i 0.211500 0.395689i
\(550\) −1.87423 2.18697i −0.0799174 0.0932526i
\(551\) −0.0588071 0.0880110i −0.00250526 0.00374939i
\(552\) −8.66485 + 12.0538i −0.368801 + 0.513045i
\(553\) −5.02283 3.35615i −0.213592 0.142718i
\(554\) 13.0393 + 10.2438i 0.553987 + 0.435217i
\(555\) −6.82664 8.31828i −0.289775 0.353091i
\(556\) 21.6831 7.60101i 0.919568 0.322354i
\(557\) −4.97674 9.31082i −0.210871 0.394512i 0.754143 0.656710i \(-0.228053\pi\)
−0.965014 + 0.262198i \(0.915553\pi\)
\(558\) −6.70072 2.60960i −0.283664 0.110473i
\(559\) 8.40450 3.48126i 0.355473 0.147242i
\(560\) −2.79390 + 4.06685i −0.118064 + 0.171856i
\(561\) −2.80675 1.16260i −0.118501 0.0490848i
\(562\) 16.9819 + 16.2728i 0.716337 + 0.686425i
\(563\) −31.6318 9.59539i −1.33312 0.404397i −0.458279 0.888808i \(-0.651534\pi\)
−0.874841 + 0.484411i \(0.839034\pi\)
\(564\) −0.645572 4.55419i −0.0271835 0.191766i
\(565\) 3.08163 31.2883i 0.129645 1.31631i
\(566\) 9.80696 34.9985i 0.412217 1.47110i
\(567\) 0.467390 0.0929697i 0.0196285 0.00390436i
\(568\) −6.51300 + 3.19981i −0.273279 + 0.134261i
\(569\) 7.99640 40.2006i 0.335226 1.68530i −0.334266 0.942479i \(-0.608488\pi\)
0.669493 0.742819i \(-0.266512\pi\)
\(570\) −0.659411 + 0.215485i −0.0276197 + 0.00902567i
\(571\) −2.82214 9.30336i −0.118103 0.389333i 0.877879 0.478882i \(-0.158958\pi\)
−0.995982 + 0.0895482i \(0.971458\pi\)
\(572\) 0.536942 + 12.5847i 0.0224507 + 0.526195i
\(573\) −12.1430 9.96553i −0.507283 0.416316i
\(574\) 0.978785 1.53470i 0.0408537 0.0640573i
\(575\) 8.92298i 0.372114i
\(576\) 7.98128 + 0.547003i 0.332553 + 0.0227918i
\(577\) 26.4120i 1.09955i 0.835314 + 0.549773i \(0.185286\pi\)
−0.835314 + 0.549773i \(0.814714\pi\)
\(578\) −12.6015 8.03681i −0.524151 0.334287i
\(579\) −8.45292 6.93713i −0.351291 0.288297i
\(580\) 2.12992 + 1.95561i 0.0884402 + 0.0812022i
\(581\) −0.347215 1.14461i −0.0144049 0.0474866i
\(582\) 5.80021 + 17.7494i 0.240427 + 0.735736i
\(583\) −2.49365 + 12.5364i −0.103276 + 0.519206i
\(584\) 27.5605 + 24.2426i 1.14046 + 1.00317i
\(585\) −13.3472 + 2.65493i −0.551839 + 0.109768i
\(586\) 2.24623 + 0.629419i 0.0927911 + 0.0260011i
\(587\) 0.0108678 0.110343i 0.000448562 0.00455433i −0.994958 0.100294i \(-0.968022\pi\)
0.995406 + 0.0957397i \(0.0305216\pi\)
\(588\) 8.13920 10.8278i 0.335655 0.446533i
\(589\) 0.922122 + 0.279723i 0.0379954 + 0.0115258i
\(590\) 13.2114 13.7871i 0.543904 0.567605i
\(591\) 9.92311 + 4.11029i 0.408182 + 0.169075i
\(592\) −6.16504 15.4440i −0.253382 0.634745i
\(593\) −17.8382 + 7.38882i −0.732526 + 0.303422i −0.717590 0.696466i \(-0.754755\pi\)
−0.0149367 + 0.999888i \(0.504755\pi\)
\(594\) −0.614803 + 1.57864i −0.0252257 + 0.0647725i
\(595\) 1.47465 + 2.75887i 0.0604547 + 0.113103i
\(596\) 16.7124 34.7540i 0.684568 1.42358i
\(597\) 9.35407 + 11.3980i 0.382836 + 0.466488i
\(598\) 24.1076 30.6865i 0.985831 1.25486i
\(599\) −24.2107 16.1771i −0.989224 0.660978i −0.0480302 0.998846i \(-0.515294\pi\)
−0.941194 + 0.337868i \(0.890294\pi\)
\(600\) 4.08726 2.53319i 0.166862 0.103417i
\(601\) 5.91057 + 8.84580i 0.241097 + 0.360828i 0.932209 0.361920i \(-0.117879\pi\)
−0.691112 + 0.722748i \(0.742879\pi\)
\(602\) −0.885443 + 0.758824i −0.0360880 + 0.0309274i
\(603\) −3.60322 + 6.74114i −0.146734 + 0.274521i
\(604\) 6.86592 44.3159i 0.279370 1.80319i
\(605\) −24.6392 + 2.42675i −1.00173 + 0.0986615i
\(606\) −11.4038 16.3035i −0.463246 0.662283i
\(607\) −4.39755 + 4.39755i −0.178491 + 0.178491i −0.790698 0.612207i \(-0.790282\pi\)
0.612207 + 0.790698i \(0.290282\pi\)
\(608\) −1.07199 + 0.00903275i −0.0434751 + 0.000366326i
\(609\) 0.188212 + 0.188212i 0.00762675 + 0.00762675i
\(610\) 6.70127 37.8948i 0.271327 1.53431i
\(611\) 1.18517 + 12.0332i 0.0479467 + 0.486811i
\(612\) 2.63556 4.33356i 0.106536 0.175174i
\(613\) 19.6095 + 10.4815i 0.792020 + 0.423344i 0.817211 0.576339i \(-0.195519\pi\)
−0.0251905 + 0.999683i \(0.508019\pi\)
\(614\) 2.57021 33.3767i 0.103725 1.34697i
\(615\) −5.81298 + 3.88411i −0.234402 + 0.156622i
\(616\) −0.566516 1.51202i −0.0228256 0.0609212i
\(617\) 12.0017 17.9618i 0.483170 0.723115i −0.507159 0.861852i \(-0.669304\pi\)
0.990329 + 0.138737i \(0.0443043\pi\)
\(618\) −9.93648 + 1.19304i −0.399704 + 0.0479912i
\(619\) −23.4403 + 19.2369i −0.942144 + 0.773198i −0.974059 0.226293i \(-0.927339\pi\)
0.0319152 + 0.999491i \(0.489839\pi\)
\(620\) −26.2828 1.46110i −1.05554 0.0586793i
\(621\) 4.62877 2.47413i 0.185746 0.0992833i
\(622\) 13.1866 + 30.0093i 0.528736 + 1.20326i
\(623\) −2.68714 6.48734i −0.107658 0.259910i
\(624\) −20.9003 2.33096i −0.836680 0.0933132i
\(625\) −11.7140 + 28.2801i −0.468560 + 1.13120i
\(626\) −12.7718 + 0.272337i −0.510463 + 0.0108848i
\(627\) 0.0659007 0.217246i 0.00263182 0.00867595i
\(628\) −3.70307 6.26951i −0.147769 0.250181i
\(629\) −10.4922 1.03339i −0.418352 0.0412041i
\(630\) 1.52060 0.854944i 0.0605820 0.0340618i
\(631\) −3.58436 18.0198i −0.142691 0.717357i −0.984192 0.177102i \(-0.943328\pi\)
0.841501 0.540255i \(-0.181672\pi\)
\(632\) 9.22818 + 34.6464i 0.367077 + 1.37816i
\(633\) 5.01174 + 0.996898i 0.199199 + 0.0396231i
\(634\) 7.46486 14.7119i 0.296468 0.584282i
\(635\) 15.0942 4.57878i 0.598996 0.181703i
\(636\) −20.0459 7.31866i −0.794871 0.290204i
\(637\) −22.5896 + 27.5256i −0.895034 + 1.09060i
\(638\) −0.923922 + 0.204347i −0.0365784 + 0.00809019i
\(639\) 2.56559 0.101493
\(640\) 28.3933 7.17188i 1.12234 0.283493i
\(641\) −19.9333 −0.787318 −0.393659 0.919257i \(-0.628791\pi\)
−0.393659 + 0.919257i \(0.628791\pi\)
\(642\) 22.4868 4.97348i 0.887481 0.196288i
\(643\) 1.32243 1.61139i 0.0521517 0.0635470i −0.746281 0.665631i \(-0.768163\pi\)
0.798433 + 0.602084i \(0.205663\pi\)
\(644\) −1.71556 + 4.69894i −0.0676025 + 0.185164i
\(645\) 4.28594 1.30013i 0.168759 0.0511924i
\(646\) −0.307547 + 0.606117i −0.0121003 + 0.0238474i
\(647\) −5.36675 1.06751i −0.210989 0.0419683i 0.0884641 0.996079i \(-0.471804\pi\)
−0.299453 + 0.954111i \(0.596804\pi\)
\(648\) −2.44738 1.41786i −0.0961422 0.0556988i
\(649\) 1.21909 + 6.12878i 0.0478535 + 0.240576i
\(650\) −11.0184 + 6.19501i −0.432177 + 0.242988i
\(651\) −2.41146 0.237508i −0.0945125 0.00930867i
\(652\) 41.4140 24.4611i 1.62190 0.957970i
\(653\) 10.3163 34.0083i 0.403709 1.33085i −0.485856 0.874039i \(-0.661492\pi\)
0.889564 0.456810i \(-0.151008\pi\)
\(654\) −19.3303 + 0.412187i −0.755873 + 0.0161178i
\(655\) −6.82898 + 16.4866i −0.266830 + 0.644185i
\(656\) −10.3781 + 3.00258i −0.405195 + 0.117231i
\(657\) −4.96621 11.9895i −0.193750 0.467754i
\(658\) −0.623539 1.41901i −0.0243081 0.0553188i
\(659\) 35.0034 18.7097i 1.36354 0.728827i 0.382742 0.923855i \(-0.374980\pi\)
0.980798 + 0.195028i \(0.0624797\pi\)
\(660\) −0.344226 + 6.19204i −0.0133990 + 0.241025i
\(661\) 26.6250 21.8506i 1.03559 0.849890i 0.0467589 0.998906i \(-0.485111\pi\)
0.988835 + 0.149016i \(0.0476107\pi\)
\(662\) −20.3554 + 2.44401i −0.791135 + 0.0949891i
\(663\) −7.40748 + 11.0861i −0.287683 + 0.430548i
\(664\) −2.93955 + 6.46210i −0.114077 + 0.250778i
\(665\) −0.194368 + 0.129873i −0.00753728 + 0.00503625i
\(666\) −0.451404 + 5.86190i −0.0174915 + 0.227144i
\(667\) 2.58537 + 1.38191i 0.100106 + 0.0535078i
\(668\) 28.6224 + 17.4074i 1.10743 + 0.673513i
\(669\) −1.53880 15.6237i −0.0594935 0.604048i
\(670\) −4.87249 + 27.5533i −0.188241 + 1.06447i
\(671\) 8.90489 + 8.90489i 0.343770 + 0.343770i
\(672\) 2.63943 0.548175i 0.101818 0.0211463i
\(673\) −18.9834 + 18.9834i −0.731757 + 0.731757i −0.970968 0.239211i \(-0.923111\pi\)
0.239211 + 0.970968i \(0.423111\pi\)
\(674\) 19.4534 + 27.8117i 0.749316 + 1.07127i
\(675\) −1.69191 + 0.166639i −0.0651218 + 0.00641394i
\(676\) 28.9365 + 4.48318i 1.11294 + 0.172430i
\(677\) −17.3638 + 32.4854i −0.667345 + 1.24852i 0.289294 + 0.957240i \(0.406579\pi\)
−0.956639 + 0.291275i \(0.905921\pi\)
\(678\) −13.0428 + 11.1777i −0.500907 + 0.429277i
\(679\) 3.49579 + 5.23181i 0.134156 + 0.200779i
\(680\) 4.24305 18.0757i 0.162713 0.693170i
\(681\) −23.4730 15.6842i −0.899487 0.601018i
\(682\) 5.32164 6.77392i 0.203776 0.259387i
\(683\) 28.0142 + 34.1354i 1.07193 + 1.30615i 0.949531 + 0.313673i \(0.101560\pi\)
0.122402 + 0.992481i \(0.460940\pi\)
\(684\) 0.341579 + 0.164258i 0.0130606 + 0.00628055i
\(685\) 5.78090 + 10.8153i 0.220877 + 0.413231i
\(686\) 3.36848 8.64931i 0.128609 0.330232i
\(687\) −18.9472 + 7.84819i −0.722881 + 0.299427i
\(688\) 6.92061 + 0.0892408i 0.263846 + 0.00340228i
\(689\) 51.8272 + 21.4675i 1.97446 + 0.817848i
\(690\) 13.2928 13.8721i 0.506049 0.528100i
\(691\) 11.8946 + 3.60818i 0.452491 + 0.137262i 0.508301 0.861180i \(-0.330274\pi\)
−0.0558094 + 0.998441i \(0.517774\pi\)
\(692\) −30.6744 23.0577i −1.16607 0.876523i
\(693\) −0.0559553 + 0.568123i −0.00212556 + 0.0215812i
\(694\) −36.9928 10.3658i −1.40423 0.393480i
\(695\) −29.1658 + 5.80143i −1.10632 + 0.220061i
\(696\) −0.100976 1.57657i −0.00382748 0.0597598i
\(697\) −1.33630 + 6.71803i −0.0506159 + 0.254463i
\(698\) −0.173216 0.530062i −0.00655632 0.0200632i
\(699\) 2.38327 + 7.85658i 0.0901434 + 0.297163i
\(700\) 1.09588 1.19356i 0.0414204 0.0451124i
\(701\) −3.00088 2.46276i −0.113342 0.0930172i 0.576015 0.817439i \(-0.304607\pi\)
−0.689357 + 0.724422i \(0.742107\pi\)
\(702\) 6.26878 + 3.99803i 0.236600 + 0.150896i
\(703\) 0.787844i 0.0297141i
\(704\) −3.40249 + 8.95914i −0.128236 + 0.337660i
\(705\) 5.95309i 0.224206i
\(706\) −13.9489 + 21.8714i −0.524973 + 0.823141i
\(707\) −5.18251 4.25318i −0.194908 0.159957i
\(708\) −10.4232 + 0.444719i −0.391729 + 0.0167135i
\(709\) −3.31068 10.9139i −0.124335 0.409878i 0.872570 0.488489i \(-0.162452\pi\)
−0.996905 + 0.0786105i \(0.974952\pi\)
\(710\) 8.92710 2.91723i 0.335028 0.109482i
\(711\) 2.47305 12.4328i 0.0927464 0.466268i
\(712\) −13.4552 + 39.4447i −0.504256 + 1.47825i
\(713\) −26.1746 + 5.20645i −0.980247 + 0.194983i
\(714\) 0.461156 1.64574i 0.0172583 0.0615905i
\(715\) 1.59791 16.2238i 0.0597584 0.606737i
\(716\) 8.51261 1.20669i 0.318131 0.0450961i
\(717\) −14.8843 4.51510i −0.555863 0.168619i
\(718\) 3.72545 + 3.56989i 0.139033 + 0.133227i
\(719\) 5.82639 + 2.41337i 0.217288 + 0.0900036i 0.488672 0.872468i \(-0.337481\pi\)
−0.271384 + 0.962471i \(0.587481\pi\)
\(720\) −10.1280 2.15070i −0.377448 0.0801518i
\(721\) −3.11564 + 1.29054i −0.116032 + 0.0480622i
\(722\) 24.9909 + 9.73273i 0.930066 + 0.362215i
\(723\) 3.13198 + 5.85951i 0.116479 + 0.217918i
\(724\) 7.41858 + 21.1627i 0.275709 + 0.786505i
\(725\) −0.602408 0.734036i −0.0223729 0.0272614i
\(726\) 10.6370 + 8.35650i 0.394776 + 0.310139i
\(727\) 8.14570 + 5.44279i 0.302107 + 0.201862i 0.697379 0.716703i \(-0.254349\pi\)
−0.395271 + 0.918564i \(0.629349\pi\)
\(728\) −6.99347 + 1.14393i −0.259195 + 0.0423968i
\(729\) 0.555570 + 0.831470i 0.0205767 + 0.0307952i
\(730\) −30.9130 36.0712i −1.14414 1.33505i
\(731\) 2.06854 3.86996i 0.0765075 0.143136i
\(732\) −16.9680 + 12.4156i −0.627155 + 0.458892i
\(733\) 24.7767 2.44029i 0.915147 0.0901341i 0.370531 0.928820i \(-0.379176\pi\)
0.544615 + 0.838686i \(0.316676\pi\)
\(734\) −43.3212 + 30.3018i −1.59901 + 1.11846i
\(735\) −12.3965 + 12.3965i −0.457253 + 0.457253i
\(736\) 26.0654 14.2159i 0.960784 0.524005i
\(737\) −6.47474 6.47474i −0.238500 0.238500i
\(738\) 3.76132 + 0.665148i 0.138456 + 0.0244844i
\(739\) 2.90982 + 29.5439i 0.107039 + 1.08679i 0.887255 + 0.461279i \(0.152609\pi\)
−0.780215 + 0.625511i \(0.784891\pi\)
\(740\) 5.09466 + 20.9101i 0.187284 + 0.768670i
\(741\) −0.878696 0.469673i −0.0322797 0.0172539i
\(742\) −7.16974 0.552115i −0.263209 0.0202688i
\(743\) −10.9445 + 7.31285i −0.401513 + 0.268282i −0.739890 0.672728i \(-0.765122\pi\)
0.338376 + 0.941011i \(0.390122\pi\)
\(744\) 9.81570 + 10.5114i 0.359861 + 0.385368i
\(745\) −27.7285 + 41.4986i −1.01589 + 1.52039i
\(746\) 2.44273 + 20.3447i 0.0894346 + 0.744873i
\(747\) 1.94023 1.59231i 0.0709894 0.0582595i
\(748\) 4.05129 + 4.52825i 0.148130 + 0.165569i
\(749\) 6.84412 3.65826i 0.250079 0.133670i
\(750\) 11.0591 4.85957i 0.403822 0.177446i
\(751\) −8.33402 20.1201i −0.304113 0.734193i −0.999873 0.0159194i \(-0.994932\pi\)
0.695760 0.718274i \(-0.255068\pi\)
\(752\) −2.78374 + 8.76815i −0.101513 + 0.319742i
\(753\) 3.44125 8.30791i 0.125406 0.302757i
\(754\) 0.0885331 + 4.15193i 0.00322419 + 0.151204i
\(755\) −16.8479 + 55.5400i −0.613157 + 2.02131i
\(756\) −0.923018 0.237539i −0.0335698 0.00863919i
\(757\) −34.9286 3.44017i −1.26950 0.125035i −0.559259 0.828993i \(-0.688914\pi\)
−0.710242 + 0.703958i \(0.751414\pi\)
\(758\) 13.0607 + 23.2297i 0.474387 + 0.843741i
\(759\) 1.22660 + 6.16656i 0.0445229 + 0.223832i
\(760\) 1.37531 + 0.183148i 0.0498878 + 0.00664346i
\(761\) −8.16623 1.62436i −0.296026 0.0588832i 0.0448431 0.998994i \(-0.485721\pi\)
−0.340869 + 0.940111i \(0.610721\pi\)
\(762\) −7.68516 3.89949i −0.278404 0.141264i
\(763\) −6.23465 + 1.89126i −0.225709 + 0.0684682i
\(764\) 13.2493 + 28.4871i 0.479344 + 1.03063i
\(765\) −4.16442 + 5.07437i −0.150565 + 0.183464i
\(766\) −2.81785 12.7404i −0.101813 0.460331i
\(767\) 27.4248 0.990251
\(768\) −13.9116 7.90369i −0.501990 0.285200i
\(769\) −44.9230 −1.61996 −0.809982 0.586454i \(-0.800523\pi\)
−0.809982 + 0.586454i \(0.800523\pi\)
\(770\) 0.451292 + 2.04044i 0.0162634 + 0.0735323i
\(771\) −4.96305 + 6.04750i −0.178740 + 0.217795i
\(772\) 9.22303 + 19.8302i 0.331944 + 0.713706i
\(773\) 20.4129 6.19218i 0.734200 0.222717i 0.0990247 0.995085i \(-0.468428\pi\)