Properties

Label 403.2.l.c.25.16
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.16
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.19

$q$-expansion

\(f(q)\) \(=\) \(q-0.177509i q^{2} +(0.311192 + 0.539000i) q^{3} +1.96849 q^{4} +(1.82613 + 1.05431i) q^{5} +(0.0956771 - 0.0552392i) q^{6} +(1.99646 - 1.15265i) q^{7} -0.704441i q^{8} +(1.30632 - 2.26261i) q^{9} +O(q^{10})\) \(q-0.177509i q^{2} +(0.311192 + 0.539000i) q^{3} +1.96849 q^{4} +(1.82613 + 1.05431i) q^{5} +(0.0956771 - 0.0552392i) q^{6} +(1.99646 - 1.15265i) q^{7} -0.704441i q^{8} +(1.30632 - 2.26261i) q^{9} +(0.187150 - 0.324153i) q^{10} +(-3.83942 - 2.21669i) q^{11} +(0.612578 + 1.06102i) q^{12} +(-2.60672 - 2.49098i) q^{13} +(-0.204606 - 0.354388i) q^{14} +1.31238i q^{15} +3.81194 q^{16} +(3.63636 + 6.29835i) q^{17} +(-0.401633 - 0.231883i) q^{18} +(-5.84727 + 3.37592i) q^{19} +(3.59471 + 2.07541i) q^{20} +(1.24256 + 0.717393i) q^{21} +(-0.393482 + 0.681531i) q^{22} -9.13913 q^{23} +(0.379694 - 0.219216i) q^{24} +(-0.276843 - 0.479507i) q^{25} +(-0.442171 + 0.462715i) q^{26} +3.49321 q^{27} +(3.93001 - 2.26899i) q^{28} -0.638044 q^{29} +0.232958 q^{30} +(4.14520 + 3.71717i) q^{31} -2.08553i q^{32} -2.75927i q^{33} +(1.11801 - 0.645485i) q^{34} +4.86104 q^{35} +(2.57148 - 4.45393i) q^{36} +(2.94161 - 1.69834i) q^{37} +(0.599255 + 1.03794i) q^{38} +(0.531451 - 2.18020i) q^{39} +(0.742703 - 1.28640i) q^{40} +(1.49289 + 0.861918i) q^{41} +(0.127344 - 0.220565i) q^{42} +(-1.66436 - 2.88275i) q^{43} +(-7.55787 - 4.36354i) q^{44} +(4.77101 - 2.75454i) q^{45} +1.62227i q^{46} +9.94211i q^{47} +(1.18624 + 2.05463i) q^{48} +(-0.842774 + 1.45973i) q^{49} +(-0.0851166 + 0.0491421i) q^{50} +(-2.26321 + 3.91999i) q^{51} +(-5.13131 - 4.90348i) q^{52} +(-5.41936 + 9.38660i) q^{53} -0.620076i q^{54} +(-4.67418 - 8.09592i) q^{55} +(-0.811978 - 1.40639i) q^{56} +(-3.63924 - 2.10112i) q^{57} +0.113258i q^{58} +(-1.57839 + 0.911283i) q^{59} +2.58340i q^{60} +1.62489 q^{61} +(0.659830 - 0.735808i) q^{62} -6.02294i q^{63} +7.25367 q^{64} +(-2.13392 - 7.29715i) q^{65} -0.489793 q^{66} +(-1.49673 - 0.864137i) q^{67} +(7.15813 + 12.3983i) q^{68} +(-2.84402 - 4.92599i) q^{69} -0.862877i q^{70} +(6.34620 + 3.66398i) q^{71} +(-1.59388 - 0.920225i) q^{72} +(1.36850 + 0.790105i) q^{73} +(-0.301470 - 0.522161i) q^{74} +(0.172303 - 0.298437i) q^{75} +(-11.5103 + 6.64547i) q^{76} -10.2203 q^{77} +(-0.387004 - 0.0943371i) q^{78} +(-2.85115 - 4.93834i) q^{79} +(6.96108 + 4.01898i) q^{80} +(-2.83190 - 4.90499i) q^{81} +(0.152998 - 0.265000i) q^{82} +(2.14235 + 1.23688i) q^{83} +(2.44597 + 1.41218i) q^{84} +15.3354i q^{85} +(-0.511714 + 0.295438i) q^{86} +(-0.198554 - 0.343906i) q^{87} +(-1.56153 + 2.70465i) q^{88} -12.4713i q^{89} +(-0.488955 - 0.846895i) q^{90} +(-8.07545 - 1.96849i) q^{91} -17.9903 q^{92} +(-0.713603 + 3.39101i) q^{93} +1.76481 q^{94} -14.2371 q^{95} +(1.12410 - 0.649001i) q^{96} +7.23658i q^{97} +(0.259114 + 0.149600i) q^{98} +(-10.0310 + 5.79142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.177509i 0.125518i −0.998029 0.0627588i \(-0.980010\pi\)
0.998029 0.0627588i \(-0.0199899\pi\)
\(3\) 0.311192 + 0.539000i 0.179667 + 0.311192i 0.941766 0.336268i \(-0.109165\pi\)
−0.762100 + 0.647460i \(0.775831\pi\)
\(4\) 1.96849 0.984245
\(5\) 1.82613 + 1.05431i 0.816668 + 0.471504i 0.849266 0.527965i \(-0.177045\pi\)
−0.0325980 + 0.999469i \(0.510378\pi\)
\(6\) 0.0956771 0.0552392i 0.0390600 0.0225513i
\(7\) 1.99646 1.15265i 0.754590 0.435663i −0.0727602 0.997349i \(-0.523181\pi\)
0.827350 + 0.561687i \(0.189847\pi\)
\(8\) 0.704441i 0.249058i
\(9\) 1.30632 2.26261i 0.435440 0.754204i
\(10\) 0.187150 0.324153i 0.0591820 0.102506i
\(11\) −3.83942 2.21669i −1.15763 0.668358i −0.206895 0.978363i \(-0.566336\pi\)
−0.950735 + 0.310005i \(0.899669\pi\)
\(12\) 0.612578 + 1.06102i 0.176836 + 0.306289i
\(13\) −2.60672 2.49098i −0.722974 0.690875i
\(14\) −0.204606 0.354388i −0.0546833 0.0947143i
\(15\) 1.31238i 0.338854i
\(16\) 3.81194 0.952984
\(17\) 3.63636 + 6.29835i 0.881946 + 1.52758i 0.849175 + 0.528112i \(0.177100\pi\)
0.0327713 + 0.999463i \(0.489567\pi\)
\(18\) −0.401633 0.231883i −0.0946658 0.0546553i
\(19\) −5.84727 + 3.37592i −1.34146 + 0.774490i −0.987021 0.160591i \(-0.948660\pi\)
−0.354434 + 0.935081i \(0.615327\pi\)
\(20\) 3.59471 + 2.07541i 0.803802 + 0.464075i
\(21\) 1.24256 + 0.717393i 0.271149 + 0.156548i
\(22\) −0.393482 + 0.681531i −0.0838907 + 0.145303i
\(23\) −9.13913 −1.90564 −0.952820 0.303536i \(-0.901833\pi\)
−0.952820 + 0.303536i \(0.901833\pi\)
\(24\) 0.379694 0.219216i 0.0775047 0.0447473i
\(25\) −0.276843 0.479507i −0.0553687 0.0959014i
\(26\) −0.442171 + 0.462715i −0.0867169 + 0.0907460i
\(27\) 3.49321 0.672269
\(28\) 3.93001 2.26899i 0.742701 0.428799i
\(29\) −0.638044 −0.118482 −0.0592409 0.998244i \(-0.518868\pi\)
−0.0592409 + 0.998244i \(0.518868\pi\)
\(30\) 0.232958 0.0425321
\(31\) 4.14520 + 3.71717i 0.744499 + 0.667623i
\(32\) 2.08553i 0.368674i
\(33\) 2.75927i 0.480326i
\(34\) 1.11801 0.645485i 0.191738 0.110700i
\(35\) 4.86104 0.821666
\(36\) 2.57148 4.45393i 0.428580 0.742322i
\(37\) 2.94161 1.69834i 0.483597 0.279205i −0.238317 0.971187i \(-0.576596\pi\)
0.721914 + 0.691982i \(0.243262\pi\)
\(38\) 0.599255 + 1.03794i 0.0972121 + 0.168376i
\(39\) 0.531451 2.18020i 0.0851002 0.349111i
\(40\) 0.742703 1.28640i 0.117432 0.203397i
\(41\) 1.49289 + 0.861918i 0.233150 + 0.134609i 0.612024 0.790839i \(-0.290355\pi\)
−0.378875 + 0.925448i \(0.623689\pi\)
\(42\) 0.127344 0.220565i 0.0196495 0.0340340i
\(43\) −1.66436 2.88275i −0.253812 0.439616i 0.710760 0.703435i \(-0.248351\pi\)
−0.964572 + 0.263819i \(0.915018\pi\)
\(44\) −7.55787 4.36354i −1.13939 0.657828i
\(45\) 4.77101 2.75454i 0.711220 0.410623i
\(46\) 1.62227i 0.239191i
\(47\) 9.94211i 1.45021i 0.688641 + 0.725103i \(0.258208\pi\)
−0.688641 + 0.725103i \(0.741792\pi\)
\(48\) 1.18624 + 2.05463i 0.171219 + 0.296561i
\(49\) −0.842774 + 1.45973i −0.120396 + 0.208532i
\(50\) −0.0851166 + 0.0491421i −0.0120373 + 0.00694974i
\(51\) −2.26321 + 3.91999i −0.316912 + 0.548909i
\(52\) −5.13131 4.90348i −0.711584 0.679990i
\(53\) −5.41936 + 9.38660i −0.744406 + 1.28935i 0.206066 + 0.978538i \(0.433934\pi\)
−0.950472 + 0.310811i \(0.899399\pi\)
\(54\) 0.620076i 0.0843816i
\(55\) −4.67418 8.09592i −0.630266 1.09165i
\(56\) −0.811978 1.40639i −0.108505 0.187936i
\(57\) −3.63924 2.10112i −0.482030 0.278300i
\(58\) 0.113258i 0.0148716i
\(59\) −1.57839 + 0.911283i −0.205489 + 0.118639i −0.599213 0.800590i \(-0.704520\pi\)
0.393724 + 0.919229i \(0.371186\pi\)
\(60\) 2.58340i 0.333515i
\(61\) 1.62489 0.208045 0.104023 0.994575i \(-0.466829\pi\)
0.104023 + 0.994575i \(0.466829\pi\)
\(62\) 0.659830 0.735808i 0.0837984 0.0934477i
\(63\) 6.02294i 0.758819i
\(64\) 7.25367 0.906709
\(65\) −2.13392 7.29715i −0.264680 0.905101i
\(66\) −0.489793 −0.0602894
\(67\) −1.49673 0.864137i −0.182855 0.105571i 0.405779 0.913971i \(-0.367000\pi\)
−0.588633 + 0.808400i \(0.700334\pi\)
\(68\) 7.15813 + 12.3983i 0.868051 + 1.50351i
\(69\) −2.84402 4.92599i −0.342380 0.593019i
\(70\) 0.862877i 0.103134i
\(71\) 6.34620 + 3.66398i 0.753155 + 0.434834i 0.826833 0.562448i \(-0.190140\pi\)
−0.0736778 + 0.997282i \(0.523474\pi\)
\(72\) −1.59388 0.920225i −0.187840 0.108450i
\(73\) 1.36850 + 0.790105i 0.160171 + 0.0924748i 0.577943 0.816077i \(-0.303856\pi\)
−0.417772 + 0.908552i \(0.637189\pi\)
\(74\) −0.301470 0.522161i −0.0350451 0.0607000i
\(75\) 0.172303 0.298437i 0.0198958 0.0344606i
\(76\) −11.5103 + 6.64547i −1.32032 + 0.762288i
\(77\) −10.2203 −1.16471
\(78\) −0.387004 0.0943371i −0.0438195 0.0106816i
\(79\) −2.85115 4.93834i −0.320780 0.555607i 0.659869 0.751380i \(-0.270612\pi\)
−0.980649 + 0.195774i \(0.937278\pi\)
\(80\) 6.96108 + 4.01898i 0.778272 + 0.449336i
\(81\) −2.83190 4.90499i −0.314655 0.544999i
\(82\) 0.152998 0.265000i 0.0168958 0.0292644i
\(83\) 2.14235 + 1.23688i 0.235153 + 0.135766i 0.612947 0.790124i \(-0.289984\pi\)
−0.377794 + 0.925890i \(0.623317\pi\)
\(84\) 2.44597 + 1.41218i 0.266877 + 0.154082i
\(85\) 15.3354i 1.66336i
\(86\) −0.511714 + 0.295438i −0.0551795 + 0.0318579i
\(87\) −0.198554 0.343906i −0.0212872 0.0368706i
\(88\) −1.56153 + 2.70465i −0.166460 + 0.288317i
\(89\) 12.4713i 1.32195i −0.750407 0.660976i \(-0.770143\pi\)
0.750407 0.660976i \(-0.229857\pi\)
\(90\) −0.488955 0.846895i −0.0515404 0.0892706i
\(91\) −8.07545 1.96849i −0.846537 0.206354i
\(92\) −17.9903 −1.87562
\(93\) −0.713603 + 3.39101i −0.0739972 + 0.351632i
\(94\) 1.76481 0.182026
\(95\) −14.2371 −1.46070
\(96\) 1.12410 0.649001i 0.114728 0.0662384i
\(97\) 7.23658i 0.734763i 0.930070 + 0.367382i \(0.119746\pi\)
−0.930070 + 0.367382i \(0.880254\pi\)
\(98\) 0.259114 + 0.149600i 0.0261745 + 0.0151118i
\(99\) −10.0310 + 5.79142i −1.00816 + 0.582059i
\(100\) −0.544964 0.943905i −0.0544964 0.0943905i
\(101\) −7.19412 −0.715842 −0.357921 0.933752i \(-0.616514\pi\)
−0.357921 + 0.933752i \(0.616514\pi\)
\(102\) 0.695832 + 0.401739i 0.0688977 + 0.0397781i
\(103\) 6.73489 11.6652i 0.663608 1.14940i −0.316053 0.948742i \(-0.602358\pi\)
0.979661 0.200661i \(-0.0643090\pi\)
\(104\) −1.75475 + 1.83628i −0.172068 + 0.180062i
\(105\) 1.51272 + 2.62010i 0.147626 + 0.255696i
\(106\) 1.66620 + 0.961983i 0.161836 + 0.0934360i
\(107\) 0.326395 + 0.565332i 0.0315538 + 0.0546527i 0.881371 0.472425i \(-0.156621\pi\)
−0.849817 + 0.527077i \(0.823288\pi\)
\(108\) 6.87636 0.661678
\(109\) 11.6385i 1.11476i −0.830256 0.557382i \(-0.811806\pi\)
0.830256 0.557382i \(-0.188194\pi\)
\(110\) −1.43710 + 0.829707i −0.137022 + 0.0791095i
\(111\) 1.83081 + 1.05702i 0.173773 + 0.100328i
\(112\) 7.61037 4.39385i 0.719112 0.415180i
\(113\) 1.39270 2.41222i 0.131014 0.226923i −0.793054 0.609152i \(-0.791510\pi\)
0.924068 + 0.382229i \(0.124843\pi\)
\(114\) −0.372967 + 0.645997i −0.0349315 + 0.0605032i
\(115\) −16.6892 9.63551i −1.55628 0.898516i
\(116\) −1.25598 −0.116615
\(117\) −9.04134 + 2.64397i −0.835872 + 0.244436i
\(118\) 0.161761 + 0.280178i 0.0148913 + 0.0257924i
\(119\) 14.5197 + 8.38293i 1.33101 + 0.768462i
\(120\) 0.924491 0.0843941
\(121\) 4.32745 + 7.49537i 0.393405 + 0.681397i
\(122\) 0.288431i 0.0261133i
\(123\) 1.07289i 0.0967390i
\(124\) 8.15978 + 7.31721i 0.732770 + 0.657105i
\(125\) 11.7107i 1.04743i
\(126\) −1.06912 −0.0952452
\(127\) 3.12070 + 5.40522i 0.276918 + 0.479635i 0.970617 0.240629i \(-0.0773538\pi\)
−0.693700 + 0.720264i \(0.744020\pi\)
\(128\) 5.45866i 0.482482i
\(129\) 1.03587 1.79418i 0.0912032 0.157969i
\(130\) −1.29531 + 0.378789i −0.113606 + 0.0332220i
\(131\) −4.85712 8.41278i −0.424369 0.735028i 0.571993 0.820259i \(-0.306171\pi\)
−0.996361 + 0.0852308i \(0.972837\pi\)
\(132\) 5.43159i 0.472759i
\(133\) −7.78255 + 13.4798i −0.674832 + 1.16884i
\(134\) −0.153392 + 0.265682i −0.0132510 + 0.0229515i
\(135\) 6.37905 + 3.68294i 0.549021 + 0.316977i
\(136\) 4.43682 2.56160i 0.380454 0.219655i
\(137\) 11.8923 + 6.86605i 1.01603 + 0.586606i 0.912952 0.408067i \(-0.133797\pi\)
0.103080 + 0.994673i \(0.467130\pi\)
\(138\) −0.874406 + 0.504838i −0.0744343 + 0.0429747i
\(139\) −16.0370 −1.36024 −0.680119 0.733102i \(-0.738072\pi\)
−0.680119 + 0.733102i \(0.738072\pi\)
\(140\) 9.56891 0.808721
\(141\) −5.35879 + 3.09390i −0.451292 + 0.260554i
\(142\) 0.650388 1.12650i 0.0545793 0.0945342i
\(143\) 4.48656 + 15.3422i 0.375185 + 1.28298i
\(144\) 4.97961 8.62493i 0.414967 0.718744i
\(145\) −1.16515 0.672699i −0.0967604 0.0558646i
\(146\) 0.140251 0.242921i 0.0116072 0.0201043i
\(147\) −1.04906 −0.0865248
\(148\) 5.79053 3.34316i 0.475978 0.274806i
\(149\) 4.51836 2.60868i 0.370159 0.213711i −0.303369 0.952873i \(-0.598112\pi\)
0.673528 + 0.739162i \(0.264778\pi\)
\(150\) −0.0529752 0.0305852i −0.00432541 0.00249727i
\(151\) 15.8717i 1.29162i −0.763496 0.645812i \(-0.776519\pi\)
0.763496 0.645812i \(-0.223481\pi\)
\(152\) 2.37814 + 4.11906i 0.192893 + 0.334100i
\(153\) 19.0010 1.53614
\(154\) 1.81420i 0.146192i
\(155\) 3.65059 + 11.1584i 0.293222 + 0.896261i
\(156\) 1.04616 4.29170i 0.0837595 0.343611i
\(157\) 12.7405 1.01680 0.508400 0.861121i \(-0.330237\pi\)
0.508400 + 0.861121i \(0.330237\pi\)
\(158\) −0.876598 + 0.506104i −0.0697384 + 0.0402635i
\(159\) −6.74584 −0.534980
\(160\) 2.19881 3.80845i 0.173831 0.301084i
\(161\) −18.2459 + 10.5343i −1.43798 + 0.830216i
\(162\) −0.870679 + 0.502687i −0.0684070 + 0.0394948i
\(163\) 4.66669i 0.365523i −0.983157 0.182762i \(-0.941496\pi\)
0.983157 0.182762i \(-0.0585036\pi\)
\(164\) 2.93873 + 1.69668i 0.229476 + 0.132488i
\(165\) 2.90913 5.03877i 0.226476 0.392267i
\(166\) 0.219558 0.380285i 0.0170410 0.0295158i
\(167\) −13.0048 + 7.50835i −1.00634 + 0.581014i −0.910119 0.414346i \(-0.864010\pi\)
−0.0962255 + 0.995360i \(0.530677\pi\)
\(168\) 0.505362 0.875312i 0.0389895 0.0675318i
\(169\) 0.589988 + 12.9866i 0.0453837 + 0.998970i
\(170\) 2.72217 0.208781
\(171\) 17.6401i 1.34897i
\(172\) −3.27628 5.67468i −0.249814 0.432690i
\(173\) 7.62580 13.2083i 0.579779 1.00421i −0.415726 0.909490i \(-0.636472\pi\)
0.995504 0.0947160i \(-0.0301943\pi\)
\(174\) −0.0610463 + 0.0352451i −0.00462791 + 0.00267192i
\(175\) −1.10541 0.638210i −0.0835613 0.0482441i
\(176\) −14.6356 8.44989i −1.10320 0.636935i
\(177\) −0.982363 0.567167i −0.0738389 0.0426309i
\(178\) −2.21376 −0.165928
\(179\) −1.05313 1.82407i −0.0787145 0.136338i 0.823981 0.566617i \(-0.191748\pi\)
−0.902696 + 0.430280i \(0.858415\pi\)
\(180\) 9.39168 5.42229i 0.700015 0.404154i
\(181\) 10.4591 18.1157i 0.777417 1.34653i −0.156008 0.987756i \(-0.549863\pi\)
0.933426 0.358771i \(-0.116804\pi\)
\(182\) −0.349425 + 1.43346i −0.0259011 + 0.106255i
\(183\) 0.505651 + 0.875813i 0.0373788 + 0.0647420i
\(184\) 6.43798i 0.474614i
\(185\) 7.16233 0.526585
\(186\) 0.601934 + 0.126671i 0.0441359 + 0.00928794i
\(187\) 32.2427i 2.35782i
\(188\) 19.5709i 1.42736i
\(189\) 6.97405 4.02647i 0.507287 0.292883i
\(190\) 2.52721i 0.183343i
\(191\) −3.86611 + 6.69631i −0.279742 + 0.484528i −0.971321 0.237774i \(-0.923582\pi\)
0.691578 + 0.722301i \(0.256916\pi\)
\(192\) 2.25728 + 3.90973i 0.162905 + 0.282160i
\(193\) 12.0335 6.94756i 0.866192 0.500096i 0.000111226 1.00000i \(-0.499965\pi\)
0.866081 + 0.499904i \(0.166631\pi\)
\(194\) 1.28456 0.0922257
\(195\) 3.26911 3.42100i 0.234106 0.244983i
\(196\) −1.65899 + 2.87346i −0.118499 + 0.205247i
\(197\) 10.5063 + 6.06582i 0.748543 + 0.432171i 0.825167 0.564889i \(-0.191081\pi\)
−0.0766242 + 0.997060i \(0.524414\pi\)
\(198\) 1.02803 + 1.78059i 0.0730587 + 0.126541i
\(199\) 3.32950 5.76686i 0.236022 0.408802i −0.723547 0.690275i \(-0.757490\pi\)
0.959569 + 0.281473i \(0.0908230\pi\)
\(200\) −0.337785 + 0.195020i −0.0238850 + 0.0137900i
\(201\) 1.07565i 0.0758704i
\(202\) 1.27702i 0.0898507i
\(203\) −1.27383 + 0.735445i −0.0894052 + 0.0516181i
\(204\) −4.45510 + 7.71647i −0.311920 + 0.540261i
\(205\) 1.81746 + 3.14794i 0.126937 + 0.219862i
\(206\) −2.07067 1.19550i −0.144270 0.0832945i
\(207\) −11.9386 + 20.6783i −0.829791 + 1.43724i
\(208\) −9.93666 9.49548i −0.688983 0.658393i
\(209\) 29.9335 2.07055
\(210\) 0.465090 0.268520i 0.0320943 0.0185296i
\(211\) −4.33279 7.50462i −0.298282 0.516639i 0.677461 0.735558i \(-0.263080\pi\)
−0.975743 + 0.218919i \(0.929747\pi\)
\(212\) −10.6680 + 18.4774i −0.732678 + 1.26904i
\(213\) 4.56080i 0.312501i
\(214\) 0.100351 0.0579379i 0.00685988 0.00396055i
\(215\) 7.01903i 0.478694i
\(216\) 2.46076i 0.167434i
\(217\) 12.5603 + 2.64319i 0.852650 + 0.179431i
\(218\) −2.06593 −0.139922
\(219\) 0.983497i 0.0664586i
\(220\) −9.20108 15.9367i −0.620337 1.07445i
\(221\) 6.21014 25.4762i 0.417739 1.71371i
\(222\) 0.187630 0.324984i 0.0125929 0.0218115i
\(223\) 15.2966 8.83148i 1.02433 0.591400i 0.108978 0.994044i \(-0.465242\pi\)
0.915356 + 0.402644i \(0.131909\pi\)
\(224\) −2.40390 4.16368i −0.160617 0.278198i
\(225\) −1.44658 −0.0964389
\(226\) −0.428190 0.247216i −0.0284828 0.0164445i
\(227\) 18.7353 + 10.8168i 1.24351 + 0.717939i 0.969807 0.243875i \(-0.0784188\pi\)
0.273701 + 0.961815i \(0.411752\pi\)
\(228\) −7.16382 4.13603i −0.474435 0.273915i
\(229\) −13.2127 + 7.62836i −0.873121 + 0.504096i −0.868384 0.495892i \(-0.834841\pi\)
−0.00473670 + 0.999989i \(0.501508\pi\)
\(230\) −1.71039 + 2.96248i −0.112780 + 0.195340i
\(231\) −3.18048 5.50875i −0.209260 0.362449i
\(232\) 0.449465i 0.0295088i
\(233\) −11.1940 −0.733341 −0.366670 0.930351i \(-0.619502\pi\)
−0.366670 + 0.930351i \(0.619502\pi\)
\(234\) 0.469328 + 1.60492i 0.0306810 + 0.104917i
\(235\) −10.4821 + 18.1555i −0.683777 + 1.18434i
\(236\) −3.10704 + 1.79385i −0.202251 + 0.116770i
\(237\) 1.77451 3.07354i 0.115267 0.199648i
\(238\) 1.48804 2.57736i 0.0964554 0.167066i
\(239\) −13.4528 7.76696i −0.870187 0.502403i −0.00277683 0.999996i \(-0.500884\pi\)
−0.867410 + 0.497593i \(0.834217\pi\)
\(240\) 5.00269i 0.322922i
\(241\) 2.34241 1.35239i 0.150888 0.0871151i −0.422655 0.906291i \(-0.638902\pi\)
0.573543 + 0.819175i \(0.305569\pi\)
\(242\) 1.33049 0.768160i 0.0855273 0.0493792i
\(243\) 7.00235 12.1284i 0.449201 0.778039i
\(244\) 3.19857 0.204768
\(245\) −3.07802 + 1.77710i −0.196648 + 0.113535i
\(246\) 0.190447 0.0121424
\(247\) 23.6516 + 5.76537i 1.50491 + 0.366842i
\(248\) 2.61853 2.92005i 0.166277 0.185423i
\(249\) 1.53963i 0.0975702i
\(250\) −2.07874 −0.131471
\(251\) −5.56233 9.63424i −0.351091 0.608108i 0.635350 0.772225i \(-0.280856\pi\)
−0.986441 + 0.164117i \(0.947523\pi\)
\(252\) 11.8561i 0.746864i
\(253\) 35.0890 + 20.2586i 2.20603 + 1.27365i
\(254\) 0.959472 0.553952i 0.0602027 0.0347580i
\(255\) −8.26580 + 4.77226i −0.517625 + 0.298851i
\(256\) 13.5384 0.846149
\(257\) −4.82248 + 8.35277i −0.300818 + 0.521032i −0.976321 0.216325i \(-0.930593\pi\)
0.675504 + 0.737357i \(0.263926\pi\)
\(258\) −0.318482 0.183876i −0.0198278 0.0114476i
\(259\) 3.91519 6.78132i 0.243278 0.421370i
\(260\) −4.20060 14.3644i −0.260510 0.890841i
\(261\) −0.833490 + 1.44365i −0.0515917 + 0.0893595i
\(262\) −1.49334 + 0.862181i −0.0922589 + 0.0532657i
\(263\) 19.2206 1.18519 0.592597 0.805499i \(-0.298103\pi\)
0.592597 + 0.805499i \(0.298103\pi\)
\(264\) −1.94374 −0.119629
\(265\) −19.7929 + 11.4274i −1.21587 + 0.701980i
\(266\) 2.39277 + 1.38147i 0.146710 + 0.0847033i
\(267\) 6.72201 3.88095i 0.411380 0.237511i
\(268\) −2.94630 1.70105i −0.179974 0.103908i
\(269\) −2.47431 + 4.28562i −0.150861 + 0.261299i −0.931544 0.363628i \(-0.881538\pi\)
0.780683 + 0.624927i \(0.214871\pi\)
\(270\) 0.653754 1.13234i 0.0397862 0.0689118i
\(271\) 4.03105i 0.244869i −0.992477 0.122434i \(-0.960930\pi\)
0.992477 0.122434i \(-0.0390701\pi\)
\(272\) 13.8616 + 24.0089i 0.840481 + 1.45576i
\(273\) −1.45200 4.96525i −0.0878788 0.300510i
\(274\) 1.21878 2.11099i 0.0736294 0.127530i
\(275\) 2.45471i 0.148024i
\(276\) −5.59843 9.69676i −0.336986 0.583677i
\(277\) 11.7173 0.704027 0.352013 0.935995i \(-0.385497\pi\)
0.352013 + 0.935995i \(0.385497\pi\)
\(278\) 2.84670i 0.170734i
\(279\) 13.8255 4.52316i 0.827709 0.270795i
\(280\) 3.42432i 0.204642i
\(281\) 19.6933i 1.17480i −0.809296 0.587401i \(-0.800151\pi\)
0.809296 0.587401i \(-0.199849\pi\)
\(282\) 0.549194 + 0.951232i 0.0327040 + 0.0566451i
\(283\) −15.8694 −0.943336 −0.471668 0.881776i \(-0.656348\pi\)
−0.471668 + 0.881776i \(0.656348\pi\)
\(284\) 12.4924 + 7.21251i 0.741289 + 0.427983i
\(285\) −4.43048 7.67381i −0.262439 0.454557i
\(286\) 2.72338 0.796403i 0.161037 0.0470923i
\(287\) 3.97398 0.234576
\(288\) −4.71875 2.72437i −0.278055 0.160535i
\(289\) −17.9462 + 31.0837i −1.05566 + 1.82845i
\(290\) −0.119410 + 0.206824i −0.00701199 + 0.0121451i
\(291\) −3.90052 + 2.25196i −0.228652 + 0.132012i
\(292\) 2.69388 + 1.55531i 0.157648 + 0.0910179i
\(293\) −18.6240 + 10.7526i −1.08803 + 0.628172i −0.933050 0.359746i \(-0.882863\pi\)
−0.154976 + 0.987918i \(0.549530\pi\)
\(294\) 0.186217i 0.0108604i
\(295\) −3.84311 −0.223755
\(296\) −1.19638 2.07219i −0.0695381 0.120444i
\(297\) −13.4119 7.74338i −0.778239 0.449316i
\(298\) −0.463063 0.802048i −0.0268245 0.0464614i
\(299\) 23.8232 + 22.7654i 1.37773 + 1.31656i
\(300\) 0.339176 0.587471i 0.0195824 0.0339176i
\(301\) −6.64564 3.83686i −0.383048 0.221153i
\(302\) −2.81737 −0.162122
\(303\) −2.23875 3.87763i −0.128613 0.222764i
\(304\) −22.2894 + 12.8688i −1.27839 + 0.738076i
\(305\) 2.96724 + 1.71314i 0.169904 + 0.0980941i
\(306\) 3.37284i 0.192812i
\(307\) −13.3403 + 7.70204i −0.761373 + 0.439579i −0.829788 0.558078i \(-0.811539\pi\)
0.0684155 + 0.997657i \(0.478206\pi\)
\(308\) −20.1186 −1.14636
\(309\) 8.38336 0.476913
\(310\) 1.98070 0.648011i 0.112496 0.0368045i
\(311\) −6.08294 −0.344932 −0.172466 0.985016i \(-0.555173\pi\)
−0.172466 + 0.985016i \(0.555173\pi\)
\(312\) −1.53582 0.374376i −0.0869487 0.0211949i
\(313\) 13.0147 + 22.5421i 0.735633 + 1.27415i 0.954445 + 0.298387i \(0.0964485\pi\)
−0.218812 + 0.975767i \(0.570218\pi\)
\(314\) 2.26154i 0.127626i
\(315\) 6.35007 10.9986i 0.357786 0.619704i
\(316\) −5.61247 9.72108i −0.315726 0.546853i
\(317\) 1.29542 0.747913i 0.0727582 0.0420070i −0.463180 0.886264i \(-0.653291\pi\)
0.535938 + 0.844257i \(0.319958\pi\)
\(318\) 1.19744i 0.0671493i
\(319\) 2.44972 + 1.41435i 0.137158 + 0.0791883i
\(320\) 13.2461 + 7.64765i 0.740481 + 0.427517i
\(321\) −0.203143 + 0.351853i −0.0113383 + 0.0196385i
\(322\) 1.86992 + 3.23880i 0.104207 + 0.180491i
\(323\) −42.5255 24.5521i −2.36618 1.36612i
\(324\) −5.57457 9.65543i −0.309698 0.536413i
\(325\) −0.472791 + 1.93955i −0.0262257 + 0.107587i
\(326\) −0.828377 −0.0458796
\(327\) 6.27314 3.62180i 0.346905 0.200286i
\(328\) 0.607171 1.05165i 0.0335254 0.0580677i
\(329\) 11.4598 + 19.8490i 0.631800 + 1.09431i
\(330\) −0.894424 0.516396i −0.0492364 0.0284267i
\(331\) 27.2646 + 15.7412i 1.49860 + 0.865215i 0.999999 0.00161815i \(-0.000515075\pi\)
0.498598 + 0.866833i \(0.333848\pi\)
\(332\) 4.21719 + 2.43480i 0.231448 + 0.133627i
\(333\) 8.87429i 0.486308i
\(334\) 1.33280 + 2.30847i 0.0729274 + 0.126314i
\(335\) −1.82214 3.15604i −0.0995543 0.172433i
\(336\) 4.73657 + 2.73466i 0.258401 + 0.149188i
\(337\) 6.70046 0.364998 0.182499 0.983206i \(-0.441581\pi\)
0.182499 + 0.983206i \(0.441581\pi\)
\(338\) 2.30523 0.104728i 0.125388 0.00569645i
\(339\) 1.73358 0.0941552
\(340\) 30.1877i 1.63716i
\(341\) −7.67535 23.4604i −0.415643 1.27045i
\(342\) 3.13128 0.169320
\(343\) 20.0229i 1.08113i
\(344\) −2.03073 + 1.17244i −0.109490 + 0.0632139i
\(345\) 11.9940i 0.645733i
\(346\) −2.34458 1.35364i −0.126045 0.0727724i
\(347\) −10.5100 18.2038i −0.564206 0.977233i −0.997123 0.0757993i \(-0.975849\pi\)
0.432917 0.901434i \(-0.357484\pi\)
\(348\) −0.390852 0.676976i −0.0209519 0.0362897i
\(349\) 21.2859i 1.13941i −0.821850 0.569704i \(-0.807058\pi\)
0.821850 0.569704i \(-0.192942\pi\)
\(350\) −0.113288 + 0.196220i −0.00605549 + 0.0104884i
\(351\) −9.10583 8.70154i −0.486033 0.464454i
\(352\) −4.62299 + 8.00725i −0.246406 + 0.426788i
\(353\) 2.90376 1.67649i 0.154551 0.0892303i −0.420730 0.907186i \(-0.638226\pi\)
0.575281 + 0.817956i \(0.304893\pi\)
\(354\) −0.100677 + 0.174378i −0.00535093 + 0.00926808i
\(355\) 7.72597 + 13.3818i 0.410052 + 0.710230i
\(356\) 24.5496i 1.30112i
\(357\) 10.4348i 0.552268i
\(358\) −0.323789 + 0.186939i −0.0171128 + 0.00988006i
\(359\) −15.9483 9.20775i −0.841718 0.485966i 0.0161297 0.999870i \(-0.494866\pi\)
−0.857848 + 0.513904i \(0.828199\pi\)
\(360\) −1.94041 3.36089i −0.102269 0.177135i
\(361\) 13.2937 23.0254i 0.699668 1.21186i
\(362\) −3.21569 1.85658i −0.169013 0.0975796i
\(363\) −2.69333 + 4.66499i −0.141363 + 0.244849i
\(364\) −15.8965 3.87496i −0.833200 0.203103i
\(365\) 1.66604 + 2.88566i 0.0872044 + 0.151043i
\(366\) 0.155464 0.0897574i 0.00812625 0.00469169i
\(367\) −13.5138 + 23.4067i −0.705417 + 1.22182i 0.261124 + 0.965305i \(0.415907\pi\)
−0.966541 + 0.256513i \(0.917426\pi\)
\(368\) −34.8378 −1.81604
\(369\) 3.90037 2.25188i 0.203045 0.117228i
\(370\) 1.27137i 0.0660956i
\(371\) 24.9866i 1.29724i
\(372\) −1.40472 + 6.67518i −0.0728314 + 0.346092i
\(373\) −24.1486 −1.25037 −0.625183 0.780478i \(-0.714976\pi\)
−0.625183 + 0.780478i \(0.714976\pi\)
\(374\) −5.72336 −0.295948
\(375\) 6.31204 3.64426i 0.325953 0.188189i
\(376\) 7.00363 0.361185
\(377\) 1.66320 + 1.58936i 0.0856594 + 0.0818562i
\(378\) −0.714733 1.23795i −0.0367619 0.0636735i
\(379\) 18.4380 10.6452i 0.947095 0.546806i 0.0549180 0.998491i \(-0.482510\pi\)
0.892177 + 0.451685i \(0.149177\pi\)
\(380\) −28.0257 −1.43769
\(381\) −1.94227 + 3.36412i −0.0995057 + 0.172349i
\(382\) 1.18865 + 0.686269i 0.0608167 + 0.0351126i
\(383\) 8.11184 + 4.68337i 0.414496 + 0.239309i 0.692720 0.721207i \(-0.256412\pi\)
−0.278224 + 0.960516i \(0.589746\pi\)
\(384\) 2.94222 1.69869i 0.150144 0.0866859i
\(385\) −18.6636 10.7754i −0.951185 0.549167i
\(386\) −1.23325 2.13606i −0.0627709 0.108722i
\(387\) −8.69674 −0.442080
\(388\) 14.2451i 0.723187i
\(389\) 12.7629 + 22.1060i 0.647106 + 1.12082i 0.983811 + 0.179211i \(0.0573543\pi\)
−0.336705 + 0.941610i \(0.609312\pi\)
\(390\) −0.607256 0.580295i −0.0307496 0.0293844i
\(391\) −33.2331 57.5615i −1.68067 2.91101i
\(392\) 1.02829 + 0.593685i 0.0519366 + 0.0299856i
\(393\) 3.02299 5.23597i 0.152490 0.264120i
\(394\) 1.07673 1.86496i 0.0542451 0.0939553i
\(395\) 12.0240i 0.604995i
\(396\) −19.7460 + 11.4004i −0.992273 + 0.572889i
\(397\) −9.57746 + 5.52955i −0.480679 + 0.277520i −0.720699 0.693248i \(-0.756179\pi\)
0.240020 + 0.970768i \(0.422846\pi\)
\(398\) −1.02367 0.591014i −0.0513118 0.0296249i
\(399\) −9.68745 −0.484979
\(400\) −1.05531 1.82785i −0.0527655 0.0913925i
\(401\) 27.5214i 1.37435i 0.726490 + 0.687177i \(0.241150\pi\)
−0.726490 + 0.687177i \(0.758850\pi\)
\(402\) −0.190937 −0.00952307
\(403\) −1.54596 20.0152i −0.0770097 0.997030i
\(404\) −14.1616 −0.704564
\(405\) 11.9428i 0.593445i
\(406\) 0.130548 + 0.226116i 0.00647898 + 0.0112219i
\(407\) −15.0588 −0.746436
\(408\) 2.76140 + 1.59430i 0.136710 + 0.0789295i
\(409\) −6.83852 + 3.94822i −0.338143 + 0.195227i −0.659451 0.751748i \(-0.729211\pi\)
0.321307 + 0.946975i \(0.395878\pi\)
\(410\) 0.558787 0.322616i 0.0275965 0.0159329i
\(411\) 8.54663i 0.421574i
\(412\) 13.2576 22.9628i 0.653153 1.13129i
\(413\) −2.10079 + 3.63867i −0.103373 + 0.179047i
\(414\) 3.67058 + 2.11921i 0.180399 + 0.104153i
\(415\) 2.60813 + 4.51741i 0.128028 + 0.221751i
\(416\) −5.19504 + 5.43641i −0.254708 + 0.266542i
\(417\) −4.99057 8.64392i −0.244389 0.423295i
\(418\) 5.31346i 0.259890i
\(419\) 26.9102 1.31465 0.657324 0.753608i \(-0.271688\pi\)
0.657324 + 0.753608i \(0.271688\pi\)
\(420\) 2.97777 + 5.15764i 0.145300 + 0.251667i
\(421\) 23.0878 + 13.3298i 1.12523 + 0.649653i 0.942731 0.333553i \(-0.108248\pi\)
0.182500 + 0.983206i \(0.441581\pi\)
\(422\) −1.33213 + 0.769108i −0.0648473 + 0.0374396i
\(423\) 22.4951 + 12.9876i 1.09375 + 0.631477i
\(424\) 6.61231 + 3.81762i 0.321122 + 0.185400i
\(425\) 2.01340 3.48732i 0.0976644 0.169160i
\(426\) 0.809581 0.0392243
\(427\) 3.24401 1.87293i 0.156989 0.0906375i
\(428\) 0.642505 + 1.11285i 0.0310566 + 0.0537917i
\(429\) −6.87329 + 7.19263i −0.331846 + 0.347264i
\(430\) −1.24594 −0.0600845
\(431\) −25.2229 + 14.5624i −1.21494 + 0.701448i −0.963832 0.266510i \(-0.914129\pi\)
−0.251111 + 0.967958i \(0.580796\pi\)
\(432\) 13.3159 0.640662
\(433\) 22.0114 1.05780 0.528899 0.848685i \(-0.322605\pi\)
0.528899 + 0.848685i \(0.322605\pi\)
\(434\) 0.469188 2.22957i 0.0225218 0.107023i
\(435\) 0.837354i 0.0401480i
\(436\) 22.9102i 1.09720i
\(437\) 53.4389 30.8530i 2.55633 1.47590i
\(438\) 0.174579 0.00834172
\(439\) −16.3497 + 28.3185i −0.780329 + 1.35157i 0.151422 + 0.988469i \(0.451615\pi\)
−0.931750 + 0.363100i \(0.881718\pi\)
\(440\) −5.70310 + 3.29269i −0.271885 + 0.156973i
\(441\) 2.20186 + 3.81374i 0.104851 + 0.181607i
\(442\) −4.52224 1.10235i −0.215101 0.0524336i
\(443\) 1.55276 2.68946i 0.0737739 0.127780i −0.826779 0.562528i \(-0.809829\pi\)
0.900552 + 0.434747i \(0.143162\pi\)
\(444\) 3.60393 + 2.08073i 0.171035 + 0.0987470i
\(445\) 13.1486 22.7741i 0.623305 1.07960i
\(446\) −1.56766 2.71527i −0.0742311 0.128572i
\(447\) 2.81215 + 1.62360i 0.133010 + 0.0767935i
\(448\) 14.4816 8.36098i 0.684193 0.395019i
\(449\) 27.4104i 1.29358i −0.762670 0.646788i \(-0.776112\pi\)
0.762670 0.646788i \(-0.223888\pi\)
\(450\) 0.256781i 0.0121048i
\(451\) −3.82121 6.61854i −0.179934 0.311655i
\(452\) 2.74151 4.74843i 0.128950 0.223348i
\(453\) 8.55487 4.93916i 0.401943 0.232062i
\(454\) 1.92008 3.32568i 0.0901140 0.156082i
\(455\) −12.6714 12.1088i −0.594043 0.567668i
\(456\) −1.48011 + 2.56363i −0.0693127 + 0.120053i
\(457\) 28.3739i 1.32728i 0.748054 + 0.663638i \(0.230989\pi\)
−0.748054 + 0.663638i \(0.769011\pi\)
\(458\) 1.35410 + 2.34537i 0.0632730 + 0.109592i
\(459\) 12.7026 + 22.0015i 0.592905 + 1.02694i
\(460\) −32.8525 18.9674i −1.53176 0.884360i
\(461\) 8.45607i 0.393838i −0.980420 0.196919i \(-0.936906\pi\)
0.980420 0.196919i \(-0.0630937\pi\)
\(462\) −0.977851 + 0.564563i −0.0454938 + 0.0262658i
\(463\) 11.7725i 0.547113i 0.961856 + 0.273557i \(0.0882001\pi\)
−0.961856 + 0.273557i \(0.911800\pi\)
\(464\) −2.43219 −0.112911
\(465\) −4.87832 + 5.44005i −0.226227 + 0.252276i
\(466\) 1.98702i 0.0920472i
\(467\) −10.9044 −0.504596 −0.252298 0.967650i \(-0.581186\pi\)
−0.252298 + 0.967650i \(0.581186\pi\)
\(468\) −17.7978 + 5.20464i −0.822703 + 0.240585i
\(469\) −3.98421 −0.183974
\(470\) 3.22277 + 1.86066i 0.148655 + 0.0858260i
\(471\) 3.96473 + 6.86711i 0.182685 + 0.316420i
\(472\) 0.641945 + 1.11188i 0.0295479 + 0.0511785i
\(473\) 14.7575i 0.678550i
\(474\) −0.545580 0.314991i −0.0250593 0.0144680i
\(475\) 3.23756 + 1.86920i 0.148549 + 0.0857650i
\(476\) 28.5818 + 16.5017i 1.31004 + 0.756355i
\(477\) 14.1588 + 24.5238i 0.648288 + 1.12287i
\(478\) −1.37870 + 2.38798i −0.0630604 + 0.109224i
\(479\) −27.5740 + 15.9199i −1.25989 + 0.727398i −0.973053 0.230582i \(-0.925937\pi\)
−0.286837 + 0.957979i \(0.592604\pi\)
\(480\) 2.73700 0.124927
\(481\) −11.8985 2.90041i −0.542524 0.132247i
\(482\) −0.240061 0.415798i −0.0109345 0.0189391i
\(483\) −11.3559 6.55635i −0.516713 0.298324i
\(484\) 8.51855 + 14.7546i 0.387207 + 0.670662i
\(485\) −7.62963 + 13.2149i −0.346444 + 0.600058i
\(486\) −2.15290 1.24298i −0.0976575 0.0563826i
\(487\) −31.0021 17.8991i −1.40484 0.811083i −0.409954 0.912106i \(-0.634455\pi\)
−0.994884 + 0.101023i \(0.967788\pi\)
\(488\) 1.14464i 0.0518153i
\(489\) 2.51534 1.45223i 0.113748 0.0656723i
\(490\) 0.315450 + 0.546375i 0.0142506 + 0.0246827i
\(491\) 8.97171 15.5395i 0.404888 0.701286i −0.589421 0.807826i \(-0.700644\pi\)
0.994308 + 0.106540i \(0.0339773\pi\)
\(492\) 2.11197i 0.0952149i
\(493\) −2.32016 4.01863i −0.104495 0.180990i
\(494\) 1.02340 4.19836i 0.0460451 0.188893i
\(495\) −24.4239 −1.09777
\(496\) 15.8012 + 14.1696i 0.709496 + 0.636234i
\(497\) 16.8932 0.757764
\(498\) 0.273298 0.0122468
\(499\) 0.917631 0.529795i 0.0410788 0.0237169i −0.479320 0.877640i \(-0.659117\pi\)
0.520399 + 0.853923i \(0.325783\pi\)
\(500\) 23.0523i 1.03093i
\(501\) −8.09400 4.67307i −0.361613 0.208777i
\(502\) −1.71016 + 0.987362i −0.0763282 + 0.0440681i
\(503\) 8.39005 + 14.5320i 0.374094 + 0.647949i 0.990191 0.139721i \(-0.0446205\pi\)
−0.616097 + 0.787670i \(0.711287\pi\)
\(504\) −4.24281 −0.188990
\(505\) −13.1374 7.58487i −0.584605 0.337522i
\(506\) 3.59608 6.22860i 0.159865 0.276895i
\(507\) −6.81618 + 4.35933i −0.302717 + 0.193605i
\(508\) 6.14307 + 10.6401i 0.272555 + 0.472079i
\(509\) −12.0337 6.94766i −0.533384 0.307950i 0.209009 0.977914i \(-0.432976\pi\)
−0.742394 + 0.669964i \(0.766309\pi\)
\(510\) 0.847118 + 1.46725i 0.0375110 + 0.0649710i
\(511\) 3.64287 0.161151
\(512\) 13.3205i 0.588688i
\(513\) −20.4258 + 11.7928i −0.901819 + 0.520666i
\(514\) 1.48269 + 0.856031i 0.0653986 + 0.0377579i
\(515\) 24.5975 14.2014i 1.08390 0.625787i
\(516\) 2.03910 3.53182i 0.0897663 0.155480i
\(517\) 22.0386 38.1720i 0.969256 1.67880i
\(518\) −1.20374 0.694981i −0.0528894 0.0305357i
\(519\) 9.49234 0.416667
\(520\) −5.14042 + 1.50322i −0.225422 + 0.0659206i
\(521\) 10.1180 + 17.5249i 0.443278 + 0.767779i 0.997930 0.0643026i \(-0.0204823\pi\)
−0.554653 + 0.832082i \(0.687149\pi\)
\(522\) 0.256260 + 0.147952i 0.0112162 + 0.00647567i
\(523\) 14.1021 0.616643 0.308321 0.951282i \(-0.400233\pi\)
0.308321 + 0.951282i \(0.400233\pi\)
\(524\) −9.56120 16.5605i −0.417683 0.723448i
\(525\) 0.794423i 0.0346714i
\(526\) 3.41183i 0.148763i
\(527\) −8.33863 + 39.6249i −0.363237 + 1.72609i
\(528\) 10.5181i 0.457744i
\(529\) 60.5237 2.63146
\(530\) 2.02846 + 3.51340i 0.0881108 + 0.152612i
\(531\) 4.76171i 0.206640i
\(532\) −15.3199 + 26.5348i −0.664201 + 1.15043i
\(533\) −1.74451 5.96554i −0.0755632 0.258396i
\(534\) −0.688903 1.19321i −0.0298117 0.0516354i
\(535\) 1.37649i 0.0595109i
\(536\) −0.608734 + 1.05436i −0.0262933 + 0.0455413i
\(537\) 0.655450 1.13527i 0.0282847 0.0489906i
\(538\) 0.760735 + 0.439211i 0.0327976 + 0.0189357i
\(539\) 6.47153 3.73634i 0.278749 0.160936i
\(540\) 12.5571 + 7.24984i 0.540371 + 0.311983i
\(541\) −33.7679 + 19.4959i −1.45180 + 0.838194i −0.998583 0.0532085i \(-0.983055\pi\)
−0.453212 + 0.891403i \(0.649722\pi\)
\(542\) −0.715546 −0.0307353
\(543\) 13.0191 0.558704
\(544\) 13.1354 7.58375i 0.563177 0.325150i
\(545\) 12.2706 21.2533i 0.525615 0.910392i
\(546\) −0.881374 + 0.257742i −0.0377193 + 0.0110303i
\(547\) −16.2249 + 28.1024i −0.693727 + 1.20157i 0.276881 + 0.960904i \(0.410699\pi\)
−0.970608 + 0.240667i \(0.922634\pi\)
\(548\) 23.4100 + 13.5158i 1.00002 + 0.577364i
\(549\) 2.12262 3.67648i 0.0905912 0.156909i
\(550\) 0.435732 0.0185797
\(551\) 3.73082 2.15399i 0.158938 0.0917630i
\(552\) −3.47007 + 2.00345i −0.147696 + 0.0852723i
\(553\) −11.3844 6.57279i −0.484114 0.279503i
\(554\) 2.07993i 0.0883677i
\(555\) 2.22886 + 3.86049i 0.0946097 + 0.163869i
\(556\) −31.5686 −1.33881
\(557\) 7.40371i 0.313705i −0.987622 0.156853i \(-0.949865\pi\)
0.987622 0.156853i \(-0.0501347\pi\)
\(558\) −0.802900 2.45414i −0.0339895 0.103892i
\(559\) −2.84238 + 11.6604i −0.120220 + 0.493184i
\(560\) 18.5300 0.783035
\(561\) 17.3788 10.0337i 0.733735 0.423622i
\(562\) −3.49572 −0.147458
\(563\) 17.7861 30.8064i 0.749595 1.29834i −0.198422 0.980117i \(-0.563582\pi\)
0.948017 0.318220i \(-0.103085\pi\)
\(564\) −10.5487 + 6.09032i −0.444182 + 0.256449i
\(565\) 5.08648 2.93668i 0.213990 0.123547i
\(566\) 2.81695i 0.118405i
\(567\) −11.3075 6.52840i −0.474872 0.274167i
\(568\) 2.58106 4.47052i 0.108299 0.187579i
\(569\) 2.69060 4.66026i 0.112796 0.195368i −0.804101 0.594493i \(-0.797353\pi\)
0.916896 + 0.399125i \(0.130686\pi\)
\(570\) −1.36217 + 0.786448i −0.0570549 + 0.0329407i
\(571\) −13.9447 + 24.1530i −0.583569 + 1.01077i 0.411483 + 0.911417i \(0.365011\pi\)
−0.995052 + 0.0993539i \(0.968322\pi\)
\(572\) 8.83175 + 30.2011i 0.369274 + 1.26277i
\(573\) −4.81241 −0.201041
\(574\) 0.705415i 0.0294435i
\(575\) 2.53011 + 4.38228i 0.105513 + 0.182754i
\(576\) 9.47561 16.4122i 0.394817 0.683844i
\(577\) 37.5618 21.6863i 1.56372 0.902812i 0.566841 0.823827i \(-0.308165\pi\)
0.996876 0.0789849i \(-0.0251679\pi\)
\(578\) 5.51762 + 3.18560i 0.229503 + 0.132504i
\(579\) 7.48947 + 4.32405i 0.311252 + 0.179701i
\(580\) −2.29359 1.32420i −0.0952360 0.0549845i
\(581\) 5.70280 0.236592
\(582\) 0.399743 + 0.692375i 0.0165699 + 0.0286999i
\(583\) 41.6144 24.0261i 1.72349 0.995059i
\(584\) 0.556583 0.964030i 0.0230316 0.0398918i
\(585\) −19.2982 4.70418i −0.797883 0.194494i
\(586\) 1.90868 + 3.30592i 0.0788467 + 0.136566i
\(587\) 27.9682i 1.15437i −0.816614 0.577185i \(-0.804151\pi\)
0.816614 0.577185i \(-0.195849\pi\)
\(588\) −2.06506 −0.0851616
\(589\) −36.7870 7.74142i −1.51578 0.318980i
\(590\) 0.682186i 0.0280851i
\(591\) 7.55053i 0.310587i
\(592\) 11.2132 6.47396i 0.460861 0.266078i
\(593\) 13.4247i 0.551288i 0.961260 + 0.275644i \(0.0888911\pi\)
−0.961260 + 0.275644i \(0.911109\pi\)
\(594\) −1.37452 + 2.38073i −0.0563971 + 0.0976827i
\(595\) 17.6765 + 30.6166i 0.724665 + 1.25516i
\(596\) 8.89436 5.13516i 0.364327 0.210344i
\(597\) 4.14445 0.169621
\(598\) 4.04106 4.22882i 0.165251 0.172929i
\(599\) 8.84805 15.3253i 0.361522 0.626174i −0.626690 0.779269i \(-0.715591\pi\)
0.988211 + 0.153095i \(0.0489241\pi\)
\(600\) −0.210232 0.121377i −0.00858267 0.00495520i
\(601\) −7.09939 12.2965i −0.289590 0.501585i 0.684122 0.729368i \(-0.260186\pi\)
−0.973712 + 0.227783i \(0.926852\pi\)
\(602\) −0.681076 + 1.17966i −0.0277586 + 0.0480793i
\(603\) −3.91041 + 2.25768i −0.159244 + 0.0919397i
\(604\) 31.2434i 1.27128i
\(605\) 18.2500i 0.741967i
\(606\) −0.688313 + 0.397398i −0.0279608 + 0.0161432i
\(607\) −13.3328 + 23.0932i −0.541163 + 0.937322i 0.457674 + 0.889120i \(0.348683\pi\)
−0.998838 + 0.0482025i \(0.984651\pi\)
\(608\) 7.04060 + 12.1947i 0.285534 + 0.494560i
\(609\) −0.792810 0.457729i −0.0321263 0.0185481i
\(610\) 0.304097 0.526712i 0.0123125 0.0213259i
\(611\) 24.7656 25.9163i 1.00191 1.04846i
\(612\) 37.4032 1.51194
\(613\) −39.8799 + 23.0247i −1.61073 + 0.929957i −0.621533 + 0.783388i \(0.713490\pi\)
−0.989200 + 0.146570i \(0.953177\pi\)
\(614\) 1.36718 + 2.36802i 0.0551749 + 0.0955657i
\(615\) −1.13116 + 1.95923i −0.0456128 + 0.0790036i
\(616\) 7.19962i 0.290081i
\(617\) −1.59801 + 0.922614i −0.0643336 + 0.0371430i −0.531822 0.846856i \(-0.678492\pi\)
0.467488 + 0.883999i \(0.345159\pi\)
\(618\) 1.48812i 0.0598609i
\(619\) 1.59885i 0.0642632i −0.999484 0.0321316i \(-0.989770\pi\)
0.999484 0.0321316i \(-0.0102296\pi\)
\(620\) 7.18614 + 21.9651i 0.288603 + 0.882140i
\(621\) −31.9249 −1.28110
\(622\) 1.07977i 0.0432950i
\(623\) −14.3751 24.8983i −0.575925 0.997531i
\(624\) 2.02586 8.31077i 0.0810992 0.332697i
\(625\) 10.9625 18.9876i 0.438500 0.759504i
\(626\) 4.00141 2.31022i 0.159929 0.0923349i
\(627\) 9.31507 + 16.1342i 0.372008 + 0.644337i
\(628\) 25.0795 1.00078
\(629\) 21.3935 + 12.3515i 0.853013 + 0.492487i
\(630\) −1.95236 1.12719i −0.0777837 0.0449084i
\(631\) 38.7293 + 22.3604i 1.54179 + 0.890153i 0.998726 + 0.0504628i \(0.0160696\pi\)
0.543065 + 0.839691i \(0.317264\pi\)
\(632\) −3.47877 + 2.00847i −0.138378 + 0.0798926i
\(633\) 2.69666 4.67075i 0.107183 0.185646i
\(634\) −0.132761 0.229949i −0.00527262 0.00913244i
\(635\) 13.1608i 0.522271i
\(636\) −13.2791 −0.526551
\(637\) 5.83303 1.70576i 0.231113 0.0675848i
\(638\) 0.251059 0.434847i 0.00993952 0.0172158i
\(639\) 16.5803 9.57265i 0.655907 0.378688i
\(640\) 5.75514 9.96820i 0.227492 0.394028i
\(641\) 12.9174 22.3735i 0.510205 0.883701i −0.489725 0.871877i \(-0.662903\pi\)
0.999930 0.0118242i \(-0.00376385\pi\)
\(642\) 0.0624570 + 0.0360596i 0.00246498 + 0.00142316i
\(643\) 15.6490i 0.617137i −0.951202 0.308568i \(-0.900150\pi\)
0.951202 0.308568i \(-0.0998499\pi\)
\(644\) −35.9168 + 20.7366i −1.41532 + 0.817136i
\(645\) 3.78326 2.18426i 0.148966 0.0860053i
\(646\) −4.35821 + 7.54864i −0.171472 + 0.296997i
\(647\) 2.83716 0.111540 0.0557702 0.998444i \(-0.482239\pi\)
0.0557702 + 0.998444i \(0.482239\pi\)
\(648\) −3.45528 + 1.99491i −0.135736 + 0.0783674i
\(649\) 8.08013 0.317173
\(650\) 0.344288 + 0.0839245i 0.0135041 + 0.00329179i
\(651\) 2.48399 + 7.59255i 0.0973552 + 0.297575i
\(652\) 9.18633i 0.359765i
\(653\) −19.0412 −0.745141 −0.372570 0.928004i \(-0.621524\pi\)
−0.372570 + 0.928004i \(0.621524\pi\)
\(654\) −0.642900 1.11354i −0.0251394 0.0435427i
\(655\) 20.4837i 0.800365i
\(656\) 5.69079 + 3.28558i 0.222188 + 0.128280i
\(657\) 3.57540 2.06426i 0.139490 0.0805344i
\(658\) 3.52337 2.03422i 0.137355 0.0793020i
\(659\) 3.11251 0.121246 0.0606231 0.998161i \(-0.480691\pi\)
0.0606231 + 0.998161i \(0.480691\pi\)
\(660\) 5.72660 9.91876i 0.222908 0.386087i
\(661\) −29.8334 17.2243i −1.16038 0.669948i −0.208988 0.977918i \(-0.567017\pi\)
−0.951396 + 0.307970i \(0.900350\pi\)
\(662\) 2.79420 4.83970i 0.108600 0.188100i
\(663\) 15.6642 4.58071i 0.608347 0.177900i
\(664\) 0.871313 1.50916i 0.0338135 0.0585667i
\(665\) −28.4238 + 16.4105i −1.10223 + 0.636372i
\(666\) −1.57526 −0.0610402
\(667\) 5.83117 0.225784
\(668\) −25.5999 + 14.7801i −0.990490 + 0.571860i
\(669\) 9.52034 + 5.49657i 0.368077 + 0.212510i
\(670\) −0.560225 + 0.323446i −0.0216434 + 0.0124958i
\(671\) −6.23862 3.60187i −0.240839 0.139049i
\(672\) 1.49615 2.59141i 0.0577152 0.0999656i
\(673\) −3.27940 + 5.68009i −0.126412 + 0.218951i −0.922284 0.386513i \(-0.873679\pi\)
0.795872 + 0.605465i \(0.207013\pi\)
\(674\) 1.18939i 0.0458136i
\(675\) −0.967073 1.67502i −0.0372227 0.0644716i
\(676\) 1.16139 + 25.5640i 0.0446687 + 0.983231i
\(677\) 4.80721 8.32633i 0.184756 0.320007i −0.758738 0.651396i \(-0.774184\pi\)
0.943494 + 0.331389i \(0.107517\pi\)
\(678\) 0.307726i 0.0118181i
\(679\) 8.34128 + 14.4475i 0.320109 + 0.554445i
\(680\) 10.8029 0.414273
\(681\) 13.4645i 0.515959i
\(682\) −4.16443 + 1.36244i −0.159464 + 0.0521705i
\(683\) 25.7995i 0.987189i −0.869692 0.493595i \(-0.835683\pi\)
0.869692 0.493595i \(-0.164317\pi\)
\(684\) 34.7244i 1.32772i
\(685\) 14.4779 + 25.0765i 0.553174 + 0.958125i
\(686\) 3.55423 0.135701
\(687\) −8.22337 4.74777i −0.313741 0.181139i
\(688\) −6.34443 10.9889i −0.241879 0.418947i
\(689\) 37.5086 10.9687i 1.42897 0.417875i
\(690\) −2.12903 −0.0810509
\(691\) −30.4991 17.6087i −1.16024 0.669865i −0.208878 0.977942i \(-0.566981\pi\)
−0.951361 + 0.308077i \(0.900315\pi\)
\(692\) 15.0113 26.0004i 0.570644 0.988385i
\(693\) −13.3510 + 23.1246i −0.507163 + 0.878432i
\(694\) −3.23134 + 1.86561i −0.122660 + 0.0708177i
\(695\) −29.2855 16.9080i −1.11086 0.641357i
\(696\) −0.242262 + 0.139870i −0.00918290 + 0.00530175i
\(697\) 12.5370i 0.474871i
\(698\) −3.77843 −0.143016
\(699\) −3.48347 6.03354i −0.131757 0.228210i
\(700\) −2.17599 1.25631i −0.0822448 0.0474841i
\(701\) −3.59467 6.22616i −0.135769 0.235159i 0.790122 0.612950i \(-0.210017\pi\)
−0.925891 + 0.377791i \(0.876684\pi\)
\(702\) −1.54460 + 1.61636i −0.0582971 + 0.0610057i
\(703\) −11.4669 + 19.8613i −0.432483 + 0.749082i
\(704\) −27.8499 16.0792i −1.04963 0.606006i
\(705\) −13.0478 −0.491408
\(706\) −0.297591 0.515442i −0.0112000 0.0193989i
\(707\) −14.3628 + 8.29234i −0.540167 + 0.311866i
\(708\) −1.93377 1.11646i −0.0726756 0.0419593i
\(709\) 24.8610i 0.933673i 0.884344 + 0.466837i \(0.154606\pi\)
−0.884344 + 0.466837i \(0.845394\pi\)
\(710\) 2.37538 1.37143i 0.0891464 0.0514687i
\(711\) −14.8981 −0.558721
\(712\) −8.78527 −0.329242
\(713\) −37.8835 33.9717i −1.41875 1.27225i
\(714\) 1.85227 0.0693193
\(715\) −7.98253 + 32.7471i −0.298530 + 1.22467i
\(716\) −2.07307 3.59067i −0.0774744 0.134190i
\(717\) 9.66805i 0.361060i
\(718\) −1.63445 + 2.83096i −0.0609973 + 0.105650i
\(719\) 11.0930 + 19.2136i 0.413699 + 0.716547i 0.995291 0.0969334i \(-0.0309034\pi\)
−0.581592 + 0.813480i \(0.697570\pi\)
\(720\) 18.1868 10.5001i 0.677781 0.391317i
\(721\) 31.0520i 1.15644i
\(722\) −4.08720 2.35975i −0.152110 0.0878207i
\(723\) 1.45788 + 0.841705i 0.0542190 + 0.0313034i
\(724\) 20.5886 35.6605i 0.765170 1.32531i
\(725\) 0.176638 + 0.305947i 0.00656019 + 0.0113626i
\(726\) 0.828076 + 0.478090i 0.0307328 + 0.0177436i
\(727\) 2.10380 + 3.64389i 0.0780256 + 0.135144i 0.902398 0.430904i \(-0.141805\pi\)
−0.824372 + 0.566048i \(0.808472\pi\)
\(728\) −1.38669 + 5.68868i −0.0513941 + 0.210837i
\(729\) −8.27511 −0.306485
\(730\) 0.512230 0.295736i 0.0189585 0.0109457i
\(731\) 12.1044 20.9654i 0.447698 0.775435i
\(732\) 0.995369 + 1.72403i 0.0367899 + 0.0637220i
\(733\) 22.8876 + 13.2141i 0.845371 + 0.488075i 0.859086 0.511831i \(-0.171032\pi\)
−0.0137152 + 0.999906i \(0.504366\pi\)
\(734\) 4.15488 + 2.39882i 0.153360 + 0.0885422i
\(735\) −1.91571 1.10604i −0.0706620 0.0407967i
\(736\) 19.0600i 0.702560i
\(737\) 3.83105 + 6.63557i 0.141119 + 0.244425i
\(738\) −0.399728 0.692350i −0.0147142 0.0254857i
\(739\) 40.5324 + 23.4014i 1.49101 + 0.860834i 0.999947 0.0102910i \(-0.00327578\pi\)
0.491061 + 0.871125i \(0.336609\pi\)
\(740\) 14.0990 0.518289
\(741\) 4.25264 + 14.5423i 0.156225 + 0.534226i
\(742\) 4.43534 0.162826
\(743\) 5.29404i 0.194220i −0.995274 0.0971098i \(-0.969040\pi\)
0.995274 0.0971098i \(-0.0309598\pi\)
\(744\) 2.38877 + 0.502691i 0.0875765 + 0.0184296i
\(745\) 11.0015 0.403062
\(746\) 4.28658i 0.156943i
\(747\) 5.59718 3.23153i 0.204790 0.118236i
\(748\) 63.4695i 2.32068i
\(749\) 1.30327 + 0.752441i 0.0476203 + 0.0274936i
\(750\) −0.646888 1.12044i −0.0236210 0.0409128i
\(751\) −8.85694 15.3407i −0.323194 0.559789i 0.657951 0.753061i \(-0.271423\pi\)
−0.981145 + 0.193272i \(0.938090\pi\)
\(752\) 37.8987i 1.38202i
\(753\) 3.46190 5.99619i 0.126159 0.218513i
\(754\) 0.282125 0.295233i 0.0102744 0.0107518i
\(755\) 16.7338 28.9838i 0.609006 1.05483i
\(756\) 13.7284 7.92607i 0.499295 0.288268i
\(757\) −24.8102 + 42.9725i −0.901740 + 1.56186i −0.0765066 + 0.997069i \(0.524377\pi\)
−0.825234 + 0.564791i \(0.808957\pi\)
\(758\) −1.88961 3.27290i −0.0686337 0.118877i
\(759\) 25.2173i 0.915329i
\(760\) 10.0292i 0.363798i
\(761\) 0.0239750 0.0138420i 0.000869093 0.000501771i −0.499565 0.866276i \(-0.666507\pi\)
0.500434 + 0.865774i \(0.333174\pi\)
\(762\) 0.597160 + 0.344770i 0.0216328 + 0.0124897i
\(763\) −13.4151 23.2357i −0.485661 0.841189i
\(764\) −7.61041 + 13.1816i −0.275335 + 0.476894<