Properties

Label 483.2.y.a.4.16
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.16
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.55491 - 2.18356i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.69606 - 4.90045i) q^{4} +(0.00530352 - 0.111335i) q^{5} +(1.75543 + 2.02587i) q^{6} +(-2.64473 - 0.0735467i) q^{7} +(-8.19360 - 2.40586i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(1.55491 - 2.18356i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-1.69606 - 4.90045i) q^{4} +(0.00530352 - 0.111335i) q^{5} +(1.75543 + 2.02587i) q^{6} +(-2.64473 - 0.0735467i) q^{7} +(-8.19360 - 2.40586i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-0.234859 - 0.184695i) q^{10} +(-2.32482 - 3.26475i) q^{11} +(5.16218 - 0.492928i) q^{12} +(0.512016 - 3.56115i) q^{13} +(-4.27290 + 5.66056i) q^{14} +(0.106946 + 0.0314022i) q^{15} +(-9.84119 + 7.73920i) q^{16} +(6.54393 - 1.26124i) q^{17} +(-2.38262 + 1.22833i) q^{18} +(-3.49080 - 0.672796i) q^{19} +(-0.554586 + 0.162841i) q^{20} +(0.694992 - 2.55284i) q^{21} -10.7437 q^{22} +(0.337865 + 4.78392i) q^{23} +(4.26975 - 7.39543i) q^{24} +(4.96499 + 0.474099i) q^{25} +(-6.97985 - 6.65527i) q^{26} +(0.654861 - 0.755750i) q^{27} +(4.12522 + 13.0851i) q^{28} +(-3.35176 - 3.86814i) q^{29} +(0.234859 - 0.184695i) q^{30} +(4.58879 - 4.37540i) q^{31} +(0.784223 + 16.4629i) q^{32} +(3.72082 - 1.48959i) q^{33} +(7.42120 - 16.2502i) q^{34} +(-0.0222147 + 0.294060i) q^{35} +(-0.737996 + 5.13288i) q^{36} +(5.48132 + 2.82582i) q^{37} +(-6.89695 + 6.57623i) q^{38} +(3.34006 + 1.33716i) q^{39} +(-0.311310 + 0.899472i) q^{40} +(8.17303 + 5.25248i) q^{41} +(-4.49363 - 5.48698i) q^{42} +(-1.67206 + 0.490962i) q^{43} +(-12.0557 + 16.9299i) q^{44} +(-0.0557305 + 0.0965280i) q^{45} +(10.9713 + 6.70079i) q^{46} +(3.17457 + 5.49852i) q^{47} +(-5.20089 - 11.3884i) q^{48} +(6.98918 + 0.389022i) q^{49} +(8.75532 - 10.1042i) q^{50} +(-0.317103 + 6.65681i) q^{51} +(-18.3197 + 3.53083i) q^{52} +(-12.1052 - 4.84620i) q^{53} +(-0.631977 - 2.60505i) q^{54} +(-0.375810 + 0.241518i) q^{55} +(21.4929 + 6.96545i) q^{56} +(1.47682 - 3.23378i) q^{57} +(-13.6580 + 1.30418i) q^{58} +(-2.75900 - 2.16970i) q^{59} +(-0.0275023 - 0.577344i) q^{60} +(1.88333 + 7.76319i) q^{61} +(-2.41881 - 16.8232i) q^{62} +(2.31703 + 1.27726i) q^{63} +(16.1025 + 10.3484i) q^{64} +(-0.393764 - 0.0758918i) q^{65} +(2.53291 - 10.4408i) q^{66} +(4.94717 + 0.472398i) q^{67} +(-17.2796 - 29.9291i) q^{68} +(-4.72872 - 0.799510i) q^{69} +(0.607556 + 0.505743i) q^{70} +(-4.75120 - 10.4037i) q^{71} +(6.18033 + 5.89294i) q^{72} +(-1.27992 - 3.69808i) q^{73} +(14.6933 - 7.57491i) q^{74} +(-1.63128 + 4.71326i) q^{75} +(2.62361 + 18.2476i) q^{76} +(5.90840 + 8.80536i) q^{77} +(8.11323 - 5.21406i) q^{78} +(3.96006 - 1.58537i) q^{79} +(0.809448 + 1.13671i) q^{80} +(0.580057 + 0.814576i) q^{81} +(24.1774 - 9.67917i) q^{82} +(-3.81890 + 2.45426i) q^{83} +(-13.6888 + 0.924000i) q^{84} +(-0.105714 - 0.735255i) q^{85} +(-1.52786 + 4.41445i) q^{86} +(4.54931 - 2.34533i) q^{87} +(11.1941 + 32.3432i) q^{88} +(-3.69943 - 3.52740i) q^{89} +(0.124119 + 0.271783i) q^{90} +(-1.61606 + 9.38062i) q^{91} +(22.8703 - 9.76952i) q^{92} +(3.17022 + 5.49098i) q^{93} +(16.9425 + 1.61781i) q^{94} +(-0.0934191 + 0.385079i) q^{95} +(-16.1837 - 3.11915i) q^{96} +(3.08927 + 1.98535i) q^{97} +(11.7170 - 14.6564i) q^{98} +(0.570386 + 3.96712i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.55491 2.18356i 1.09948 1.54401i 0.289852 0.957071i \(-0.406394\pi\)
0.809632 0.586938i \(-0.199667\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) −1.69606 4.90045i −0.848032 2.45023i
\(5\) 0.00530352 0.111335i 0.00237181 0.0497904i −0.997371 0.0724623i \(-0.976914\pi\)
0.999743 + 0.0226719i \(0.00721732\pi\)
\(6\) 1.75543 + 2.02587i 0.716649 + 0.827057i
\(7\) −2.64473 0.0735467i −0.999614 0.0277981i
\(8\) −8.19360 2.40586i −2.89687 0.850599i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −0.234859 0.184695i −0.0742691 0.0584058i
\(11\) −2.32482 3.26475i −0.700959 0.984360i −0.999551 0.0299784i \(-0.990456\pi\)
0.298591 0.954381i \(-0.403483\pi\)
\(12\) 5.16218 0.492928i 1.49019 0.142296i
\(13\) 0.512016 3.56115i 0.142008 0.987686i −0.786822 0.617180i \(-0.788275\pi\)
0.928830 0.370506i \(-0.120816\pi\)
\(14\) −4.27290 + 5.66056i −1.14198 + 1.51285i
\(15\) 0.106946 + 0.0314022i 0.0276133 + 0.00810801i
\(16\) −9.84119 + 7.73920i −2.46030 + 1.93480i
\(17\) 6.54393 1.26124i 1.58714 0.305895i 0.682109 0.731251i \(-0.261063\pi\)
0.905026 + 0.425355i \(0.139851\pi\)
\(18\) −2.38262 + 1.22833i −0.561589 + 0.289519i
\(19\) −3.49080 0.672796i −0.800844 0.154350i −0.227621 0.973750i \(-0.573095\pi\)
−0.573223 + 0.819400i \(0.694307\pi\)
\(20\) −0.554586 + 0.162841i −0.124009 + 0.0364124i
\(21\) 0.694992 2.55284i 0.151660 0.557075i
\(22\) −10.7437 −2.29055
\(23\) 0.337865 + 4.78392i 0.0704497 + 0.997515i
\(24\) 4.26975 7.39543i 0.871560 1.50959i
\(25\) 4.96499 + 0.474099i 0.992998 + 0.0948199i
\(26\) −6.97985 6.65527i −1.36886 1.30521i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) 4.12522 + 13.0851i 0.779592 + 2.47285i
\(29\) −3.35176 3.86814i −0.622407 0.718296i 0.353755 0.935338i \(-0.384905\pi\)
−0.976162 + 0.217042i \(0.930359\pi\)
\(30\) 0.234859 0.184695i 0.0428793 0.0337206i
\(31\) 4.58879 4.37540i 0.824170 0.785845i −0.155207 0.987882i \(-0.549605\pi\)
0.979378 + 0.202037i \(0.0647561\pi\)
\(32\) 0.784223 + 16.4629i 0.138632 + 2.91025i
\(33\) 3.72082 1.48959i 0.647712 0.259305i
\(34\) 7.42120 16.2502i 1.27272 2.78688i
\(35\) −0.0222147 + 0.294060i −0.00375497 + 0.0497052i
\(36\) −0.737996 + 5.13288i −0.122999 + 0.855480i
\(37\) 5.48132 + 2.82582i 0.901124 + 0.464562i 0.845552 0.533893i \(-0.179271\pi\)
0.0555719 + 0.998455i \(0.482302\pi\)
\(38\) −6.89695 + 6.57623i −1.11883 + 1.06680i
\(39\) 3.34006 + 1.33716i 0.534837 + 0.214116i
\(40\) −0.311310 + 0.899472i −0.0492225 + 0.142219i
\(41\) 8.17303 + 5.25248i 1.27641 + 0.820300i 0.990441 0.137938i \(-0.0440474\pi\)
0.285971 + 0.958238i \(0.407684\pi\)
\(42\) −4.49363 5.48698i −0.693382 0.846659i
\(43\) −1.67206 + 0.490962i −0.254987 + 0.0748710i −0.406728 0.913549i \(-0.633330\pi\)
0.151741 + 0.988420i \(0.451512\pi\)
\(44\) −12.0557 + 16.9299i −1.81747 + 2.55228i
\(45\) −0.0557305 + 0.0965280i −0.00830781 + 0.0143895i
\(46\) 10.9713 + 6.70079i 1.61763 + 0.987977i
\(47\) 3.17457 + 5.49852i 0.463059 + 0.802041i 0.999112 0.0421430i \(-0.0134185\pi\)
−0.536053 + 0.844185i \(0.680085\pi\)
\(48\) −5.20089 11.3884i −0.750684 1.64377i
\(49\) 6.98918 + 0.389022i 0.998455 + 0.0555746i
\(50\) 8.75532 10.1042i 1.23819 1.42895i
\(51\) −0.317103 + 6.65681i −0.0444033 + 0.932140i
\(52\) −18.3197 + 3.53083i −2.54048 + 0.489638i
\(53\) −12.1052 4.84620i −1.66278 0.665677i −0.666008 0.745945i \(-0.731998\pi\)
−0.996773 + 0.0802678i \(0.974422\pi\)
\(54\) −0.631977 2.60505i −0.0860012 0.354502i
\(55\) −0.375810 + 0.241518i −0.0506742 + 0.0325663i
\(56\) 21.4929 + 6.96545i 2.87211 + 0.930798i
\(57\) 1.47682 3.23378i 0.195609 0.428325i
\(58\) −13.6580 + 1.30418i −1.79338 + 0.171247i
\(59\) −2.75900 2.16970i −0.359191 0.282471i 0.422213 0.906497i \(-0.361254\pi\)
−0.781404 + 0.624026i \(0.785496\pi\)
\(60\) −0.0275023 0.577344i −0.00355053 0.0745348i
\(61\) 1.88333 + 7.76319i 0.241136 + 0.993975i 0.955685 + 0.294390i \(0.0951165\pi\)
−0.714550 + 0.699585i \(0.753368\pi\)
\(62\) −2.41881 16.8232i −0.307190 2.13655i
\(63\) 2.31703 + 1.27726i 0.291918 + 0.160919i
\(64\) 16.1025 + 10.3484i 2.01281 + 1.29355i
\(65\) −0.393764 0.0758918i −0.0488404 0.00941322i
\(66\) 2.53291 10.4408i 0.311780 1.28517i
\(67\) 4.94717 + 0.472398i 0.604394 + 0.0577126i 0.392767 0.919638i \(-0.371518\pi\)
0.211627 + 0.977351i \(0.432124\pi\)
\(68\) −17.2796 29.9291i −2.09545 3.62943i
\(69\) −4.72872 0.799510i −0.569271 0.0962497i
\(70\) 0.607556 + 0.505743i 0.0726168 + 0.0604478i
\(71\) −4.75120 10.4037i −0.563863 1.23469i −0.950001 0.312247i \(-0.898918\pi\)
0.386138 0.922441i \(-0.373809\pi\)
\(72\) 6.18033 + 5.89294i 0.728359 + 0.694489i
\(73\) −1.27992 3.69808i −0.149803 0.432827i 0.844985 0.534790i \(-0.179609\pi\)
−0.994788 + 0.101962i \(0.967488\pi\)
\(74\) 14.6933 7.57491i 1.70806 0.880566i
\(75\) −1.63128 + 4.71326i −0.188364 + 0.544241i
\(76\) 2.62361 + 18.2476i 0.300948 + 2.09314i
\(77\) 5.90840 + 8.80536i 0.673325 + 1.00346i
\(78\) 8.11323 5.21406i 0.918642 0.590376i
\(79\) 3.96006 1.58537i 0.445542 0.178368i −0.138033 0.990428i \(-0.544078\pi\)
0.583574 + 0.812060i \(0.301654\pi\)
\(80\) 0.809448 + 1.13671i 0.0904991 + 0.127088i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 24.1774 9.67917i 2.66995 1.06889i
\(83\) −3.81890 + 2.45426i −0.419179 + 0.269390i −0.733183 0.680032i \(-0.761966\pi\)
0.314003 + 0.949422i \(0.398330\pi\)
\(84\) −13.6888 + 0.924000i −1.49357 + 0.100817i
\(85\) −0.105714 0.735255i −0.0114663 0.0797496i
\(86\) −1.52786 + 4.41445i −0.164753 + 0.476022i
\(87\) 4.54931 2.34533i 0.487738 0.251446i
\(88\) 11.1941 + 32.3432i 1.19330 + 3.44780i
\(89\) −3.69943 3.52740i −0.392139 0.373904i 0.468203 0.883621i \(-0.344902\pi\)
−0.860342 + 0.509717i \(0.829750\pi\)
\(90\) 0.124119 + 0.271783i 0.0130833 + 0.0286484i
\(91\) −1.61606 + 9.38062i −0.169409 + 0.983356i
\(92\) 22.8703 9.76952i 2.38440 1.01854i
\(93\) 3.17022 + 5.49098i 0.328736 + 0.569388i
\(94\) 16.9425 + 1.61781i 1.74749 + 0.166865i
\(95\) −0.0934191 + 0.385079i −0.00958459 + 0.0395082i
\(96\) −16.1837 3.11915i −1.65174 0.318347i
\(97\) 3.08927 + 1.98535i 0.313667 + 0.201582i 0.687996 0.725714i \(-0.258491\pi\)
−0.374329 + 0.927296i \(0.622127\pi\)
\(98\) 11.7170 14.6564i 1.18359 1.48052i
\(99\) 0.570386 + 3.96712i 0.0573259 + 0.398711i
\(100\) −6.09764 25.1348i −0.609764 2.51348i
\(101\) −0.712233 14.9516i −0.0708699 1.48774i −0.702062 0.712116i \(-0.747737\pi\)
0.631192 0.775626i \(-0.282566\pi\)
\(102\) 14.0425 + 11.0431i 1.39041 + 1.09343i
\(103\) 1.89719 0.181160i 0.186936 0.0178502i −0.00116824 0.999999i \(-0.500372\pi\)
0.188104 + 0.982149i \(0.439766\pi\)
\(104\) −12.7629 + 27.9468i −1.25150 + 2.74041i
\(105\) −0.280534 0.0909158i −0.0273773 0.00887247i
\(106\) −29.4045 + 18.8971i −2.85601 + 1.83545i
\(107\) −3.07529 12.6765i −0.297299 1.22548i −0.902947 0.429751i \(-0.858601\pi\)
0.605648 0.795732i \(-0.292914\pi\)
\(108\) −4.81420 1.92732i −0.463247 0.185456i
\(109\) −7.21474 + 1.39053i −0.691047 + 0.133188i −0.522671 0.852535i \(-0.675064\pi\)
−0.168376 + 0.985723i \(0.553852\pi\)
\(110\) −0.0569792 + 1.19614i −0.00543275 + 0.114048i
\(111\) −4.03843 + 4.66060i −0.383311 + 0.442365i
\(112\) 26.5965 19.7443i 2.51313 1.86566i
\(113\) 1.33499 + 2.92323i 0.125586 + 0.274994i 0.961973 0.273145i \(-0.0880638\pi\)
−0.836387 + 0.548139i \(0.815337\pi\)
\(114\) −4.76484 8.25294i −0.446268 0.772959i
\(115\) 0.534408 0.0122445i 0.0498338 0.00114180i
\(116\) −13.2708 + 22.9858i −1.23217 + 2.13418i
\(117\) −2.08691 + 2.93066i −0.192935 + 0.270939i
\(118\) −9.02766 + 2.65076i −0.831063 + 0.244022i
\(119\) −17.3997 + 2.85435i −1.59503 + 0.261658i
\(120\) −0.800723 0.514594i −0.0730957 0.0469758i
\(121\) −1.65607 + 4.78490i −0.150552 + 0.434991i
\(122\) 19.8798 + 7.95867i 1.79983 + 0.720544i
\(123\) −7.03129 + 6.70432i −0.633990 + 0.604508i
\(124\) −29.2243 15.0662i −2.62442 1.35298i
\(125\) 0.158428 1.10189i 0.0141703 0.0985564i
\(126\) 6.39172 3.07335i 0.569420 0.273796i
\(127\) 4.05016 8.86861i 0.359394 0.786962i −0.640427 0.768019i \(-0.721243\pi\)
0.999821 0.0189432i \(-0.00603016\pi\)
\(128\) 17.0324 6.81873i 1.50546 0.602697i
\(129\) −0.0829188 1.74068i −0.00730059 0.153258i
\(130\) −0.777980 + 0.741803i −0.0682334 + 0.0650604i
\(131\) −0.815822 + 0.641570i −0.0712787 + 0.0560542i −0.653163 0.757218i \(-0.726558\pi\)
0.581884 + 0.813272i \(0.302316\pi\)
\(132\) −13.6104 15.7073i −1.18464 1.36714i
\(133\) 9.18273 + 2.03610i 0.796244 + 0.176552i
\(134\) 8.72390 10.0679i 0.753630 0.869735i
\(135\) −0.0806681 0.0769169i −0.00694280 0.00661995i
\(136\) −56.6527 5.40967i −4.85793 0.463876i
\(137\) −2.68707 + 4.65415i −0.229572 + 0.397631i −0.957681 0.287830i \(-0.907066\pi\)
0.728109 + 0.685461i \(0.240399\pi\)
\(138\) −9.09849 + 9.08228i −0.774515 + 0.773135i
\(139\) 14.7895 1.25443 0.627215 0.778846i \(-0.284195\pi\)
0.627215 + 0.778846i \(0.284195\pi\)
\(140\) 1.47870 0.389882i 0.124973 0.0329511i
\(141\) −6.09196 + 1.78876i −0.513035 + 0.150641i
\(142\) −30.1047 5.80220i −2.52633 0.486910i
\(143\) −12.8166 + 6.60743i −1.07178 + 0.552541i
\(144\) 12.2935 2.36938i 1.02446 0.197448i
\(145\) −0.448435 + 0.352653i −0.0372405 + 0.0292862i
\(146\) −10.0651 2.95539i −0.832995 0.244589i
\(147\) −2.02582 + 6.70045i −0.167087 + 0.552644i
\(148\) 4.55112 31.6537i 0.374100 2.60192i
\(149\) 1.86954 0.178520i 0.153159 0.0146249i −0.0181948 0.999834i \(-0.505792\pi\)
0.171354 + 0.985210i \(0.445186\pi\)
\(150\) 7.75521 + 10.8907i 0.633210 + 0.889219i
\(151\) 10.2678 + 8.07472i 0.835585 + 0.657111i 0.941407 0.337274i \(-0.109505\pi\)
−0.105822 + 0.994385i \(0.533747\pi\)
\(152\) 26.9835 + 13.9110i 2.18865 + 1.12833i
\(153\) −6.39441 1.87757i −0.516957 0.151792i
\(154\) 28.4140 + 0.790160i 2.28967 + 0.0636729i
\(155\) −0.462797 0.534096i −0.0371727 0.0428996i
\(156\) 0.887727 18.6357i 0.0710751 1.49205i
\(157\) 6.51461 + 18.8227i 0.519923 + 1.50222i 0.833426 + 0.552631i \(0.186376\pi\)
−0.313503 + 0.949587i \(0.601503\pi\)
\(158\) 2.69577 11.1121i 0.214464 0.884033i
\(159\) 7.56351 10.6215i 0.599825 0.842337i
\(160\) 1.83705 0.145231
\(161\) −0.541720 12.6770i −0.0426935 0.999088i
\(162\) 2.68061 0.210608
\(163\) −0.723905 + 1.01658i −0.0567006 + 0.0796249i −0.841953 0.539551i \(-0.818594\pi\)
0.785252 + 0.619176i \(0.212533\pi\)
\(164\) 11.8776 48.9601i 0.927484 3.82314i
\(165\) −0.146110 0.422156i −0.0113746 0.0328648i
\(166\) −0.579012 + 12.1549i −0.0449400 + 0.943407i
\(167\) 1.03995 + 1.20017i 0.0804739 + 0.0928719i 0.794559 0.607187i \(-0.207702\pi\)
−0.714085 + 0.700059i \(0.753157\pi\)
\(168\) −11.8363 + 19.2449i −0.913187 + 1.48478i
\(169\) 0.0537722 + 0.0157889i 0.00413632 + 0.00121453i
\(170\) −1.76985 0.912420i −0.135741 0.0699794i
\(171\) 2.79445 + 2.19758i 0.213697 + 0.168053i
\(172\) 5.24186 + 7.36117i 0.399688 + 0.561284i
\(173\) 8.54556 0.816002i 0.649707 0.0620395i 0.235001 0.971995i \(-0.424491\pi\)
0.414706 + 0.909956i \(0.363884\pi\)
\(174\) 1.95258 13.5805i 0.148024 1.02953i
\(175\) −13.0962 1.61902i −0.989979 0.122387i
\(176\) 48.1456 + 14.1368i 3.62911 + 1.06560i
\(177\) 2.75900 2.16970i 0.207379 0.163085i
\(178\) −13.4545 + 2.59315i −1.00846 + 0.194365i
\(179\) −1.29427 + 0.667241i −0.0967380 + 0.0498719i −0.505917 0.862582i \(-0.668846\pi\)
0.409179 + 0.912454i \(0.365815\pi\)
\(180\) 0.567553 + 0.109387i 0.0423029 + 0.00815322i
\(181\) −5.92216 + 1.73890i −0.440191 + 0.129252i −0.494316 0.869283i \(-0.664581\pi\)
0.0541250 + 0.998534i \(0.482763\pi\)
\(182\) 17.9703 + 18.1147i 1.33205 + 1.34275i
\(183\) −7.98837 −0.590517
\(184\) 8.74109 40.0103i 0.644402 2.94960i
\(185\) 0.343682 0.595275i 0.0252680 0.0437655i
\(186\) 16.9193 + 1.61559i 1.24058 + 0.118461i
\(187\) −19.3311 18.4321i −1.41363 1.34789i
\(188\) 21.5610 24.8827i 1.57249 1.81476i
\(189\) −1.78751 + 1.95059i −0.130022 + 0.141885i
\(190\) 0.695584 + 0.802747i 0.0504630 + 0.0582374i
\(191\) −11.2695 + 8.86240i −0.815429 + 0.641261i −0.936219 0.351417i \(-0.885700\pi\)
0.120789 + 0.992678i \(0.461457\pi\)
\(192\) −13.8530 + 13.2088i −0.999756 + 0.953266i
\(193\) −0.635947 13.3502i −0.0457765 0.960967i −0.898600 0.438768i \(-0.855415\pi\)
0.852824 0.522199i \(-0.174888\pi\)
\(194\) 9.13865 3.65856i 0.656117 0.262669i
\(195\) 0.166586 0.364772i 0.0119295 0.0261219i
\(196\) −9.94771 34.9100i −0.710551 2.49357i
\(197\) −1.05897 + 7.36531i −0.0754486 + 0.524757i 0.916689 + 0.399602i \(0.130852\pi\)
−0.992137 + 0.125154i \(0.960057\pi\)
\(198\) 9.54934 + 4.92303i 0.678642 + 0.349864i
\(199\) −6.97199 + 6.64778i −0.494231 + 0.471248i −0.895722 0.444615i \(-0.853341\pi\)
0.401491 + 0.915863i \(0.368492\pi\)
\(200\) −39.5405 15.8296i −2.79594 1.11932i
\(201\) −1.62542 + 4.69635i −0.114648 + 0.331255i
\(202\) −33.7552 21.6932i −2.37501 1.52632i
\(203\) 8.58002 + 10.4767i 0.602199 + 0.735320i
\(204\) 33.1592 9.73643i 2.32161 0.681686i
\(205\) 0.628130 0.882085i 0.0438705 0.0616075i
\(206\) 2.55438 4.42431i 0.177972 0.308257i
\(207\) 1.89181 4.40693i 0.131490 0.306303i
\(208\) 22.5216 + 39.0086i 1.56159 + 2.70476i
\(209\) 5.91896 + 12.9607i 0.409423 + 0.896511i
\(210\) −0.634723 + 0.471196i −0.0438001 + 0.0325156i
\(211\) −7.06690 + 8.15564i −0.486506 + 0.561457i −0.944929 0.327277i \(-0.893869\pi\)
0.458423 + 0.888734i \(0.348415\pi\)
\(212\) −3.21735 + 67.5406i −0.220969 + 4.63871i
\(213\) 11.2305 2.16451i 0.769504 0.148310i
\(214\) −32.4617 12.9957i −2.21903 0.888367i
\(215\) 0.0457933 + 0.188762i 0.00312308 + 0.0128735i
\(216\) −7.18389 + 4.61681i −0.488802 + 0.314134i
\(217\) −12.4579 + 11.2343i −0.845697 + 0.762631i
\(218\) −8.18194 + 17.9159i −0.554151 + 1.21342i
\(219\) 3.89559 0.371983i 0.263239 0.0251363i
\(220\) 1.82095 + 1.43201i 0.122768 + 0.0965460i
\(221\) −1.14086 23.9497i −0.0767428 1.61103i
\(222\) 3.89732 + 16.0650i 0.261571 + 1.07821i
\(223\) −0.515598 3.58607i −0.0345270 0.240141i 0.965248 0.261334i \(-0.0841625\pi\)
−0.999775 + 0.0211935i \(0.993253\pi\)
\(224\) −0.863268 43.5975i −0.0576795 2.91298i
\(225\) −4.19582 2.69649i −0.279721 0.179766i
\(226\) 8.45882 + 1.63030i 0.562673 + 0.108446i
\(227\) 0.00171153 0.00705501i 0.000113598 0.000468257i −0.971755 0.235993i \(-0.924166\pi\)
0.971868 + 0.235525i \(0.0756809\pi\)
\(228\) −18.3518 1.75238i −1.21538 0.116054i
\(229\) 10.5313 + 18.2408i 0.695931 + 1.20539i 0.969866 + 0.243639i \(0.0783414\pi\)
−0.273935 + 0.961748i \(0.588325\pi\)
\(230\) 0.804217 1.18595i 0.0530285 0.0781992i
\(231\) −9.95011 + 3.66591i −0.654669 + 0.241199i
\(232\) 18.1568 + 39.7579i 1.19205 + 2.61023i
\(233\) 21.3817 + 20.3874i 1.40076 + 1.33562i 0.874266 + 0.485447i \(0.161343\pi\)
0.526496 + 0.850178i \(0.323506\pi\)
\(234\) 3.15431 + 9.11379i 0.206204 + 0.595787i
\(235\) 0.629012 0.324278i 0.0410322 0.0211536i
\(236\) −5.95308 + 17.2003i −0.387513 + 1.11964i
\(237\) 0.607060 + 4.22220i 0.0394328 + 0.274261i
\(238\) −20.8222 + 42.4315i −1.34970 + 2.75042i
\(239\) −23.1380 + 14.8699i −1.49667 + 0.961854i −0.501352 + 0.865243i \(0.667164\pi\)
−0.995322 + 0.0966111i \(0.969200\pi\)
\(240\) −1.29550 + 0.518641i −0.0836244 + 0.0334782i
\(241\) 15.5034 + 21.7715i 0.998661 + 1.40242i 0.913862 + 0.406026i \(0.133086\pi\)
0.0847996 + 0.996398i \(0.472975\pi\)
\(242\) 7.87308 + 11.0562i 0.506101 + 0.710719i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) 34.8489 22.3960i 2.23097 1.43376i
\(245\) 0.0803790 0.776075i 0.00513522 0.0495816i
\(246\) 3.70629 + 25.7778i 0.236304 + 1.64353i
\(247\) −4.18327 + 12.0868i −0.266175 + 0.769063i
\(248\) −48.1253 + 24.8103i −3.05596 + 1.57546i
\(249\) −1.48474 4.28987i −0.0940915 0.271859i
\(250\) −2.15971 2.05928i −0.136592 0.130240i
\(251\) 7.34027 + 16.0729i 0.463314 + 1.01452i 0.986720 + 0.162432i \(0.0519338\pi\)
−0.523406 + 0.852083i \(0.675339\pi\)
\(252\) 2.32931 13.5208i 0.146733 0.851730i
\(253\) 14.8328 12.2248i 0.932531 0.768565i
\(254\) −13.0675 22.6336i −0.819930 1.42016i
\(255\) 0.739452 + 0.0706091i 0.0463063 + 0.00442172i
\(256\) 2.56927 10.5907i 0.160579 0.661917i
\(257\) −5.79065 1.11606i −0.361211 0.0696177i 0.00541711 0.999985i \(-0.498276\pi\)
−0.366628 + 0.930368i \(0.619488\pi\)
\(258\) −3.92981 2.52553i −0.244659 0.157233i
\(259\) −14.2888 7.87666i −0.887862 0.489432i
\(260\) 0.295945 + 2.05834i 0.0183537 + 0.127653i
\(261\) 1.20668 + 4.97401i 0.0746917 + 0.307883i
\(262\) 0.132379 + 2.77898i 0.00817840 + 0.171686i
\(263\) 17.3324 + 13.6303i 1.06876 + 0.840482i 0.987721 0.156229i \(-0.0499337\pi\)
0.0810392 + 0.996711i \(0.474176\pi\)
\(264\) −34.0706 + 3.25335i −2.09690 + 0.200230i
\(265\) −0.603751 + 1.32203i −0.0370881 + 0.0812116i
\(266\) 18.7242 16.8851i 1.14806 1.03529i
\(267\) 4.30014 2.76353i 0.263164 0.169125i
\(268\) −6.07576 25.0446i −0.371136 1.52984i
\(269\) −11.1908 4.48010i −0.682312 0.273157i 0.00450163 0.999990i \(-0.498567\pi\)
−0.686814 + 0.726833i \(0.740991\pi\)
\(270\) −0.293384 + 0.0565451i −0.0178548 + 0.00344122i
\(271\) 0.663954 13.9381i 0.0403324 0.846680i −0.884554 0.466437i \(-0.845537\pi\)
0.924887 0.380243i \(-0.124160\pi\)
\(272\) −54.6391 + 63.0568i −3.31298 + 3.82338i
\(273\) −8.73520 3.78207i −0.528678 0.228901i
\(274\) 5.98446 + 13.1041i 0.361535 + 0.791650i
\(275\) −9.99489 17.3117i −0.602715 1.04393i
\(276\) 4.10225 + 24.5289i 0.246926 + 1.47647i
\(277\) 14.8290 25.6845i 0.890986 1.54323i 0.0522902 0.998632i \(-0.483348\pi\)
0.838696 0.544601i \(-0.183319\pi\)
\(278\) 22.9963 32.2938i 1.37923 1.93685i
\(279\) −6.08360 + 1.78631i −0.364216 + 0.106943i
\(280\) 0.889485 2.35596i 0.0531569 0.140796i
\(281\) −27.4651 17.6508i −1.63843 1.05296i −0.942152 0.335185i \(-0.891201\pi\)
−0.696279 0.717771i \(-0.745162\pi\)
\(282\) −5.56655 + 16.0835i −0.331484 + 0.957759i
\(283\) 20.8336 + 8.34051i 1.23843 + 0.495792i 0.896127 0.443798i \(-0.146369\pi\)
0.342301 + 0.939590i \(0.388794\pi\)
\(284\) −42.9244 + 40.9283i −2.54709 + 2.42865i
\(285\) −0.352199 0.181571i −0.0208625 0.0107554i
\(286\) −5.50092 + 38.2598i −0.325276 + 2.26235i
\(287\) −21.2291 14.4925i −1.25312 0.855465i
\(288\) 6.84668 14.9921i 0.403445 0.883420i
\(289\) 25.4500 10.1886i 1.49706 0.599332i
\(290\) 0.0727650 + 1.52753i 0.00427291 + 0.0896994i
\(291\) −2.65771 + 2.53412i −0.155798 + 0.148553i
\(292\) −15.9514 + 12.5443i −0.933487 + 0.734102i
\(293\) 3.12372 + 3.60497i 0.182490 + 0.210604i 0.839622 0.543171i \(-0.182776\pi\)
−0.657133 + 0.753775i \(0.728231\pi\)
\(294\) 11.4809 + 14.8421i 0.669578 + 0.865607i
\(295\) −0.256195 + 0.295665i −0.0149163 + 0.0172143i
\(296\) −38.1132 36.3409i −2.21529 2.11227i
\(297\) −3.98977 0.380977i −0.231510 0.0221065i
\(298\) 2.51716 4.35984i 0.145815 0.252559i
\(299\) 17.2092 + 1.24625i 0.995236 + 0.0720727i
\(300\) 25.8639 1.49325
\(301\) 4.45826 1.17549i 0.256970 0.0677539i
\(302\) 33.5971 9.86501i 1.93330 0.567668i
\(303\) 14.6981 + 2.83282i 0.844382 + 0.162741i
\(304\) 39.5605 20.3949i 2.26895 1.16973i
\(305\) 0.874301 0.168508i 0.0500623 0.00964872i
\(306\) −14.0425 + 11.0431i −0.802755 + 0.631293i
\(307\) −2.16406 0.635425i −0.123509 0.0362656i 0.219394 0.975636i \(-0.429592\pi\)
−0.342903 + 0.939371i \(0.611410\pi\)
\(308\) 33.1293 43.8883i 1.88771 2.50077i
\(309\) −0.271227 + 1.88642i −0.0154295 + 0.107315i
\(310\) −1.88584 + 0.180076i −0.107108 + 0.0102276i
\(311\) 11.6687 + 16.3864i 0.661673 + 0.929189i 0.999930 0.0118646i \(-0.00377670\pi\)
−0.338257 + 0.941054i \(0.609837\pi\)
\(312\) −24.1501 18.9918i −1.36723 1.07520i
\(313\) 2.18256 + 1.12519i 0.123366 + 0.0635994i 0.518805 0.854893i \(-0.326377\pi\)
−0.395439 + 0.918492i \(0.629408\pi\)
\(314\) 51.2302 + 15.0425i 2.89109 + 0.848899i
\(315\) 0.154491 0.251192i 0.00870460 0.0141530i
\(316\) −14.4855 16.7172i −0.814876 0.940416i
\(317\) 1.43856 30.1991i 0.0807975 1.69615i −0.487338 0.873213i \(-0.662032\pi\)
0.568135 0.822935i \(-0.307665\pi\)
\(318\) −11.4321 33.0307i −0.641078 1.85227i
\(319\) −4.83628 + 19.9354i −0.270780 + 1.11617i
\(320\) 1.23754 1.73788i 0.0691806 0.0971505i
\(321\) 13.0442 0.728056
\(322\) −28.5233 18.5287i −1.58954 1.03256i
\(323\) −23.6921 −1.31826
\(324\) 3.00798 4.22411i 0.167110 0.234673i
\(325\) 4.23050 17.4383i 0.234666 0.967305i
\(326\) 1.09416 + 3.16138i 0.0606002 + 0.175093i
\(327\) 0.349609 7.33920i 0.0193334 0.405858i
\(328\) −54.3298 62.6999i −2.99986 3.46202i
\(329\) −7.99148 14.7756i −0.440585 0.814604i
\(330\) −1.14899 0.337374i −0.0632498 0.0185718i
\(331\) 19.3980 + 10.0004i 1.06621 + 0.549670i 0.899762 0.436380i \(-0.143740\pi\)
0.166449 + 0.986050i \(0.446770\pi\)
\(332\) 18.5041 + 14.5518i 1.01554 + 0.798633i
\(333\) −3.57713 5.02338i −0.196025 0.275279i
\(334\) 4.23767 0.404648i 0.231875 0.0221414i
\(335\) 0.0788317 0.548287i 0.00430704 0.0299561i
\(336\) 12.9174 + 30.5017i 0.704701 + 1.66400i
\(337\) 11.3377 + 3.32905i 0.617604 + 0.181345i 0.575545 0.817770i \(-0.304790\pi\)
0.0420593 + 0.999115i \(0.486608\pi\)
\(338\) 0.118087 0.0928644i 0.00642307 0.00505116i
\(339\) −3.15556 + 0.608185i −0.171387 + 0.0330321i
\(340\) −3.42379 + 1.76508i −0.185681 + 0.0957251i
\(341\) −24.9527 4.80924i −1.35126 0.260435i
\(342\) 9.14365 2.68482i 0.494432 0.145178i
\(343\) −18.4559 1.54289i −0.996524 0.0833082i
\(344\) 14.8814 0.802351
\(345\) −0.114092 + 0.522230i −0.00614251 + 0.0281159i
\(346\) 11.5058 19.9285i 0.618553 1.07137i
\(347\) 10.1825 + 0.972307i 0.546623 + 0.0521962i 0.364715 0.931119i \(-0.381167\pi\)
0.181908 + 0.983316i \(0.441773\pi\)
\(348\) −19.2091 18.3159i −1.02972 0.981834i
\(349\) −15.7214 + 18.1435i −0.841547 + 0.971197i −0.999869 0.0161908i \(-0.994846\pi\)
0.158322 + 0.987388i \(0.449392\pi\)
\(350\) −23.8986 + 26.0789i −1.27743 + 1.39397i
\(351\) −2.35604 2.71901i −0.125756 0.145130i
\(352\) 51.9240 40.8335i 2.76756 2.17643i
\(353\) 9.39862 8.96157i 0.500238 0.476976i −0.397440 0.917628i \(-0.630101\pi\)
0.897678 + 0.440652i \(0.145253\pi\)
\(354\) −0.447688 9.39812i −0.0237943 0.499504i
\(355\) −1.18349 + 0.473797i −0.0628130 + 0.0251465i
\(356\) −11.0114 + 24.1116i −0.583602 + 1.27791i
\(357\) 1.32824 17.5821i 0.0702978 0.930545i
\(358\) −0.555502 + 3.86360i −0.0293592 + 0.204198i
\(359\) 7.91763 + 4.08182i 0.417876 + 0.215430i 0.654325 0.756214i \(-0.272953\pi\)
−0.236448 + 0.971644i \(0.575983\pi\)
\(360\) 0.688866 0.656832i 0.0363064 0.0346181i
\(361\) −5.90598 2.36440i −0.310841 0.124442i
\(362\) −5.41140 + 15.6352i −0.284417 + 0.821768i
\(363\) −4.25959 2.73747i −0.223570 0.143680i
\(364\) 48.7102 7.99073i 2.55311 0.418828i
\(365\) −0.418512 + 0.122886i −0.0219059 + 0.00643216i
\(366\) −12.4212 + 17.4431i −0.649264 + 0.911764i
\(367\) 15.4417 26.7458i 0.806051 1.39612i −0.109529 0.993984i \(-0.534934\pi\)
0.915579 0.402137i \(-0.131733\pi\)
\(368\) −40.3487 44.4646i −2.10332 2.31788i
\(369\) −4.85765 8.41369i −0.252879 0.437999i
\(370\) −0.765424 1.67605i −0.0397925 0.0871335i
\(371\) 31.6586 + 13.7072i 1.64363 + 0.711642i
\(372\) 21.5314 24.8485i 1.11635 1.28834i
\(373\) −0.317237 + 6.65963i −0.0164259 + 0.344823i 0.975662 + 0.219279i \(0.0703705\pi\)
−0.992088 + 0.125544i \(0.959933\pi\)
\(374\) −70.3057 + 13.5503i −3.63542 + 0.700670i
\(375\) 1.03348 + 0.413744i 0.0533688 + 0.0213656i
\(376\) −12.7825 52.6902i −0.659208 2.71729i
\(377\) −15.4912 + 9.95559i −0.797837 + 0.512739i
\(378\) 1.47982 + 6.93612i 0.0761135 + 0.356756i
\(379\) 8.86671 19.4154i 0.455452 0.997301i −0.533049 0.846085i \(-0.678954\pi\)
0.988501 0.151216i \(-0.0483190\pi\)
\(380\) 2.04550 0.195322i 0.104932 0.0100198i
\(381\) 7.66376 + 6.02685i 0.392626 + 0.308765i
\(382\) 1.82863 + 38.3877i 0.0935610 + 1.96409i
\(383\) −7.63801 31.4843i −0.390284 1.60877i −0.740468 0.672092i \(-0.765396\pi\)
0.350183 0.936681i \(-0.386119\pi\)
\(384\) 2.61099 + 18.1598i 0.133242 + 0.926715i
\(385\) 1.01168 0.611111i 0.0515599 0.0311451i
\(386\) −30.1397 19.3696i −1.53407 0.985889i
\(387\) 1.71116 + 0.329799i 0.0869832 + 0.0167646i
\(388\) 4.48953 18.5061i 0.227921 0.939504i
\(389\) −21.8648 2.08783i −1.10859 0.105857i −0.475337 0.879804i \(-0.657674\pi\)
−0.633251 + 0.773946i \(0.718280\pi\)
\(390\) −0.537477 0.930937i −0.0272162 0.0471398i
\(391\) 8.24462 + 30.8795i 0.416948 + 1.56164i
\(392\) −56.3306 20.0025i −2.84513 1.01028i
\(393\) −0.431148 0.944081i −0.0217485 0.0476226i
\(394\) 14.4360 + 13.7647i 0.727275 + 0.693455i
\(395\) −0.155504 0.449300i −0.00782427 0.0226067i
\(396\) 18.4733 9.52364i 0.928317 0.478581i
\(397\) −6.03953 + 17.4501i −0.303115 + 0.875794i 0.685863 + 0.727731i \(0.259425\pi\)
−0.988978 + 0.148063i \(0.952696\pi\)
\(398\) 3.67503 + 25.5604i 0.184213 + 1.28123i
\(399\) −4.14362 + 8.44385i −0.207440 + 0.422721i
\(400\) −52.5306 + 33.7594i −2.62653 + 1.68797i
\(401\) −4.47589 + 1.79188i −0.223515 + 0.0894821i −0.480717 0.876876i \(-0.659624\pi\)
0.257202 + 0.966358i \(0.417199\pi\)
\(402\) 7.72738 + 10.8516i 0.385407 + 0.541228i
\(403\) −13.2319 18.5816i −0.659129 0.925617i
\(404\) −72.0617 + 28.8492i −3.58521 + 1.43530i
\(405\) 0.0937669 0.0602603i 0.00465931 0.00299436i
\(406\) 36.2176 2.44470i 1.79745 0.121329i
\(407\) −3.51749 24.4647i −0.174355 1.21267i
\(408\) 18.6136 53.7803i 0.921508 2.66252i
\(409\) 23.1559 11.9377i 1.14499 0.590282i 0.221975 0.975052i \(-0.428750\pi\)
0.923012 + 0.384771i \(0.125719\pi\)
\(410\) −0.949402 2.74312i −0.0468876 0.135473i
\(411\) −3.88945 3.70859i −0.191853 0.182931i
\(412\) −4.10552 8.98984i −0.202264 0.442897i
\(413\) 7.13723 + 5.94119i 0.351200 + 0.292347i
\(414\) −6.68121 10.9832i −0.328364 0.539797i
\(415\) 0.252991 + 0.438193i 0.0124188 + 0.0215100i
\(416\) 59.0283 + 5.63652i 2.89410 + 0.276353i
\(417\) −3.48676 + 14.3726i −0.170747 + 0.703831i
\(418\) 37.5039 + 7.22828i 1.83438 + 0.353547i
\(419\) 5.83895 + 3.75246i 0.285251 + 0.183320i 0.675440 0.737415i \(-0.263954\pi\)
−0.390189 + 0.920735i \(0.627590\pi\)
\(420\) 0.0302743 + 1.52894i 0.00147724 + 0.0746047i
\(421\) 0.471303 + 3.27798i 0.0229699 + 0.159759i 0.998078 0.0619712i \(-0.0197387\pi\)
−0.975108 + 0.221730i \(0.928830\pi\)
\(422\) 6.81996 + 28.1122i 0.331990 + 1.36848i
\(423\) −0.302104 6.34195i −0.0146888 0.308356i
\(424\) 87.5261 + 68.8313i 4.25064 + 3.34274i
\(425\) 33.0885 3.15957i 1.60503 0.153262i
\(426\) 12.7361 27.8882i 0.617066 1.35119i
\(427\) −4.40994 20.6700i −0.213412 1.00029i
\(428\) −56.9047 + 36.5704i −2.75059 + 1.76770i
\(429\) −3.39954 14.0131i −0.164131 0.676559i
\(430\) 0.483378 + 0.193515i 0.0233106 + 0.00933214i
\(431\) 12.1761 2.34675i 0.586501 0.113039i 0.112636 0.993636i \(-0.464071\pi\)
0.473865 + 0.880598i \(0.342858\pi\)
\(432\) −0.595714 + 12.5056i −0.0286613 + 0.601675i
\(433\) 18.1752 20.9753i 0.873443 1.00801i −0.126428 0.991976i \(-0.540351\pi\)
0.999871 0.0160317i \(-0.00510325\pi\)
\(434\) 5.15981 + 44.6707i 0.247679 + 2.14426i
\(435\) −0.236990 0.518935i −0.0113628 0.0248810i
\(436\) 19.0509 + 32.9971i 0.912371 + 1.58027i
\(437\) 2.03918 16.9270i 0.0975472 0.809728i
\(438\) 5.24502 9.08464i 0.250617 0.434081i
\(439\) −8.39418 + 11.7880i −0.400633 + 0.562610i −0.964778 0.263066i \(-0.915266\pi\)
0.564145 + 0.825675i \(0.309206\pi\)
\(440\) 3.66029 1.07476i 0.174498 0.0512371i
\(441\) −6.03397 3.54841i −0.287332 0.168972i
\(442\) −54.0695 34.7483i −2.57182 1.65281i
\(443\) −8.58002 + 24.7904i −0.407649 + 1.17783i 0.535235 + 0.844703i \(0.320223\pi\)
−0.942884 + 0.333122i \(0.891898\pi\)
\(444\) 29.6885 + 11.8855i 1.40895 + 0.564060i
\(445\) −0.412342 + 0.393167i −0.0195469 + 0.0186379i
\(446\) −8.63209 4.45015i −0.408741 0.210721i
\(447\) −0.267274 + 1.85893i −0.0126416 + 0.0879245i
\(448\) −41.8256 28.5531i −1.97607 1.34901i
\(449\) 2.92129 6.39674i 0.137864 0.301881i −0.828089 0.560596i \(-0.810572\pi\)
0.965954 + 0.258716i \(0.0832993\pi\)
\(450\) −12.4120 + 4.96903i −0.585109 + 0.234242i
\(451\) −1.85275 38.8940i −0.0872425 1.83145i
\(452\) 12.0609 11.5000i 0.567297 0.540917i
\(453\) −10.2678 + 8.07472i −0.482425 + 0.379383i
\(454\) −0.0127438 0.0147071i −0.000598094 0.000690238i
\(455\) 1.03582 + 0.229673i 0.0485599 + 0.0107673i
\(456\) −19.8805 + 22.9433i −0.930988 + 1.07442i
\(457\) −23.6476 22.5479i −1.10619 1.05475i −0.998162 0.0605984i \(-0.980699\pi\)
−0.108024 0.994148i \(-0.534452\pi\)
\(458\) 56.2052 + 5.36694i 2.62629 + 0.250781i
\(459\) 3.33218 5.77150i 0.155533 0.269391i
\(460\) −0.966393 2.59807i −0.0450583 0.121136i
\(461\) −15.7573 −0.733889 −0.366945 0.930243i \(-0.619596\pi\)
−0.366945 + 0.930243i \(0.619596\pi\)
\(462\) −7.46675 + 27.4268i −0.347385 + 1.27601i
\(463\) −28.6470 + 8.41152i −1.33134 + 0.390916i −0.868572 0.495563i \(-0.834962\pi\)
−0.462767 + 0.886480i \(0.653143\pi\)
\(464\) 62.9217 + 12.1272i 2.92107 + 0.562989i
\(465\) 0.628149 0.323834i 0.0291297 0.0150174i
\(466\) 77.7637 14.9877i 3.60233 0.694293i
\(467\) 5.31046 4.17619i 0.245739 0.193251i −0.487691 0.873016i \(-0.662161\pi\)
0.733430 + 0.679765i \(0.237918\pi\)
\(468\) 17.9011 + 5.25623i 0.827478 + 0.242969i
\(469\) −13.0492 1.61321i −0.602556 0.0744912i
\(470\) 0.269974 1.87771i 0.0124530 0.0866122i
\(471\) −19.8280 + 1.89335i −0.913628 + 0.0872409i
\(472\) 17.3861 + 24.4154i 0.800262 + 1.12381i
\(473\) 5.49011 + 4.31747i 0.252436 + 0.198518i
\(474\) 10.1633 + 5.23957i 0.466818 + 0.240661i
\(475\) −17.0128 4.99541i −0.780601 0.229205i
\(476\) 43.4986 + 80.4251i 1.99375 + 3.68628i
\(477\) 8.53890 + 9.85441i 0.390969 + 0.451203i
\(478\) −3.50812 + 73.6445i −0.160458 + 3.36842i
\(479\) 7.63976 + 22.0736i 0.349069 + 1.00857i 0.973736 + 0.227679i \(0.0731135\pi\)
−0.624667 + 0.780891i \(0.714765\pi\)
\(480\) −0.433101 + 1.78526i −0.0197682 + 0.0814858i
\(481\) 12.8697 18.0730i 0.586807 0.824056i
\(482\) 71.6456 3.26337
\(483\) 12.4474 + 2.46227i 0.566375 + 0.112037i
\(484\) 26.2570 1.19350
\(485\) 0.237422 0.333413i 0.0107808 0.0151395i
\(486\) −0.631977 + 2.60505i −0.0286671 + 0.118167i
\(487\) −3.44013 9.93960i −0.155887 0.450406i 0.839831 0.542848i \(-0.182654\pi\)
−0.995718 + 0.0924418i \(0.970533\pi\)
\(488\) 3.24588 68.1395i 0.146934 3.08453i
\(489\) −0.817260 0.943168i −0.0369578 0.0426515i
\(490\) −1.56962 1.38224i −0.0709084 0.0624430i
\(491\) 3.80534 + 1.11735i 0.171732 + 0.0504252i 0.366468 0.930431i \(-0.380567\pi\)
−0.194736 + 0.980856i \(0.562385\pi\)
\(492\) 44.7797 + 23.0856i 2.01883 + 1.04078i
\(493\) −26.8124 21.0855i −1.20757 0.949642i
\(494\) 19.8876 + 27.9282i 0.894785 + 1.25655i
\(495\) 0.444703 0.0424640i 0.0199879 0.00190861i
\(496\) −11.2970 + 78.5727i −0.507252 + 3.52802i
\(497\) 11.8005 + 27.8643i 0.529323 + 1.24989i
\(498\) −11.6758 3.42833i −0.523206 0.153627i
\(499\) −31.5173 + 24.7855i −1.41091 + 1.10955i −0.432793 + 0.901493i \(0.642472\pi\)
−0.978116 + 0.208058i \(0.933286\pi\)
\(500\) −5.66848 + 1.09251i −0.253502 + 0.0488586i
\(501\) −1.41152 + 0.727687i −0.0630619 + 0.0325107i
\(502\) 46.5096 + 8.96400i 2.07583 + 0.400083i
\(503\) −10.8473 + 3.18506i −0.483658 + 0.142015i −0.514467 0.857510i \(-0.672010\pi\)
0.0308084 + 0.999525i \(0.490192\pi\)
\(504\) −15.9119 16.0398i −0.708772 0.714468i
\(505\) −1.66841 −0.0742433
\(506\) −3.62990 51.3967i −0.161369 2.28486i
\(507\) −0.0280211 + 0.0485340i −0.00124446 + 0.00215547i
\(508\) −50.3296 4.80589i −2.23301 0.213227i
\(509\) −6.89338 6.57282i −0.305544 0.291335i 0.521758 0.853094i \(-0.325277\pi\)
−0.827301 + 0.561759i \(0.810125\pi\)
\(510\) 1.30396 1.50485i 0.0577402 0.0666358i
\(511\) 3.11305 + 9.87454i 0.137713 + 0.436824i
\(512\) 4.89850 + 5.65317i 0.216485 + 0.249837i
\(513\) −2.79445 + 2.19758i −0.123378 + 0.0970256i
\(514\) −11.4409 + 10.9089i −0.504636 + 0.481169i
\(515\) −0.0101076 0.212184i −0.000445393 0.00934994i
\(516\) −8.38948 + 3.35864i −0.369326 + 0.147856i
\(517\) 10.5710 23.1472i 0.464912 1.01801i
\(518\) −39.4169 + 18.9529i −1.73188 + 0.832745i
\(519\) −1.22169 + 8.49706i −0.0536263 + 0.372979i
\(520\) 3.04376 + 1.56917i 0.133478 + 0.0688125i
\(521\) −19.1853 + 18.2932i −0.840525 + 0.801439i −0.982075 0.188493i \(-0.939640\pi\)
0.141550 + 0.989931i \(0.454791\pi\)
\(522\) 12.7373 + 5.09925i 0.557497 + 0.223188i
\(523\) 3.49682 10.1034i 0.152905 0.441791i −0.842368 0.538902i \(-0.818839\pi\)
0.995274 + 0.0971115i \(0.0309604\pi\)
\(524\) 4.52767 + 2.90976i 0.197792 + 0.127113i
\(525\) 4.66093 12.3453i 0.203420 0.538794i
\(526\) 56.7128 16.6524i 2.47280 0.726079i
\(527\) 24.5103 34.4198i 1.06768 1.49935i
\(528\) −25.0891 + 43.4555i −1.09186 + 1.89116i
\(529\) −22.7717 + 3.23264i −0.990074 + 0.140549i
\(530\) 1.94795 + 3.37396i 0.0846138 + 0.146555i
\(531\) 1.45808 + 3.19275i 0.0632754 + 0.138554i
\(532\) −5.59668 48.4529i −0.242647 2.10070i
\(533\) 22.8896 26.4160i 0.991459 1.14420i
\(534\) 0.651975 13.6866i 0.0282137 0.592279i
\(535\) −1.42764 + 0.275156i −0.0617224 + 0.0118960i
\(536\) −39.3986 15.7728i −1.70176 0.681283i
\(537\) −0.343297 1.41509i −0.0148144 0.0610657i
\(538\) −27.1831 + 17.4695i −1.17195 + 0.753165i
\(539\) −14.9785 23.7223i −0.645171 1.02179i
\(540\) −0.240109 + 0.525766i −0.0103327 + 0.0226254i
\(541\) 44.5966 4.25846i 1.91736 0.183085i 0.933074 0.359684i \(-0.117115\pi\)
0.984283 + 0.176598i \(0.0565093\pi\)
\(542\) −29.4023 23.1222i −1.26294 0.993185i
\(543\) −0.293684 6.16518i −0.0126032 0.264573i
\(544\) 25.8955 + 106.743i 1.11026 + 4.57656i
\(545\) 0.116550 + 0.810625i 0.00499247 + 0.0347234i
\(546\) −21.8408 + 13.1931i −0.934699 + 0.564611i
\(547\) −6.95149 4.46745i −0.297224 0.191014i 0.383526 0.923530i \(-0.374710\pi\)
−0.680750 + 0.732516i \(0.738346\pi\)
\(548\) 27.3649 + 5.27415i 1.16897 + 0.225300i
\(549\) 1.88333 7.76319i 0.0803786 0.331325i
\(550\) −53.3421 5.09356i −2.27452 0.217190i
\(551\) 9.09786 + 15.7580i 0.387582 + 0.671311i
\(552\) 36.8217 + 17.9275i 1.56724 + 0.763044i
\(553\) −10.5899 + 3.90162i −0.450328 + 0.165914i
\(554\) −33.0260 72.3169i −1.40314 3.07245i
\(555\) 0.497469 + 0.474335i 0.0211164 + 0.0201344i
\(556\) −25.0840 72.4754i −1.06380 3.07364i
\(557\) 23.7799 12.2594i 1.00759 0.519448i 0.126282 0.991994i \(-0.459696\pi\)
0.881306 + 0.472547i \(0.156665\pi\)
\(558\) −5.55892 + 16.0614i −0.235328 + 0.679935i
\(559\) 0.892267 + 6.20585i 0.0377389 + 0.262479i
\(560\) −2.05717 3.06583i −0.0869313 0.129555i
\(561\) 22.4700 14.4406i 0.948686 0.609683i
\(562\) −81.2471 + 32.5264i −3.42720 + 1.37205i
\(563\) 14.9134 + 20.9429i 0.628524 + 0.882638i 0.998931 0.0462316i \(-0.0147212\pi\)
−0.370407 + 0.928870i \(0.620782\pi\)
\(564\) 19.0981 + 26.8195i 0.804174 + 1.12931i
\(565\) 0.332537 0.133128i 0.0139899 0.00560072i
\(566\) 50.6062 32.5227i 2.12714 1.36703i
\(567\) −1.47418 2.19699i −0.0619099 0.0922651i
\(568\) 13.8996 + 96.6742i 0.583216 + 4.05636i
\(569\) −3.25233 + 9.39698i −0.136345 + 0.393942i −0.992417 0.122913i \(-0.960776\pi\)
0.856073 + 0.516855i \(0.172897\pi\)
\(570\) −0.944109 + 0.486722i −0.0395444 + 0.0203865i
\(571\) −8.10307 23.4123i −0.339103 0.979774i −0.977659 0.210198i \(-0.932589\pi\)
0.638556 0.769575i \(-0.279532\pi\)
\(572\) 54.1172 + 51.6006i 2.26275 + 2.15753i
\(573\) −5.95571 13.0412i −0.248803 0.544803i
\(574\) −64.6545 + 23.8206i −2.69863 + 0.994253i
\(575\) −0.590553 + 23.9123i −0.0246278 + 0.997211i
\(576\) −9.57053 16.5766i −0.398772 0.690693i
\(577\) 18.1142 + 1.72969i 0.754103 + 0.0720081i 0.465025 0.885297i \(-0.346045\pi\)
0.289078 + 0.957306i \(0.406651\pi\)
\(578\) 17.3248 71.4139i 0.720618 2.97043i
\(579\) 13.1238 + 2.52940i 0.545406 + 0.105118i
\(580\) 2.48873 + 1.59941i 0.103339 + 0.0664119i
\(581\) 10.2805 6.20999i 0.426506 0.257634i
\(582\) 1.40092 + 9.74358i 0.0580698 + 0.403884i
\(583\) 12.3208 + 50.7871i 0.510276 + 2.10339i
\(584\) 1.59008 + 33.3799i 0.0657979 + 1.38127i
\(585\) 0.315216 + 0.247889i 0.0130326 + 0.0102489i
\(586\) 12.7288 1.21545i 0.525820 0.0502097i
\(587\) −2.56874 + 5.62475i −0.106023 + 0.232158i −0.955207 0.295940i \(-0.904367\pi\)
0.849184 + 0.528098i \(0.177095\pi\)
\(588\) 36.2712 1.43696i 1.49580 0.0592593i
\(589\) −18.9623 + 12.1863i −0.781327 + 0.502128i
\(590\) 0.247243 + 1.01915i 0.0101788 + 0.0419577i
\(591\) −6.90803 2.76556i −0.284158 0.113760i
\(592\) −75.8123 + 14.6116i −3.11587 + 0.600534i
\(593\) 2.03650 42.7513i 0.0836289 1.75559i −0.434857 0.900500i \(-0.643201\pi\)
0.518485 0.855086i \(-0.326496\pi\)
\(594\) −7.03559 + 8.11951i −0.288674 + 0.333147i
\(595\) 0.225508 + 1.95232i 0.00924495 + 0.0800375i
\(596\) −4.04569 8.85884i −0.165718 0.362872i
\(597\) −4.81668 8.34273i −0.197134 0.341445i
\(598\) 29.4800 35.6396i 1.20553 1.45741i
\(599\) −6.80806 + 11.7919i −0.278170 + 0.481804i −0.970930 0.239364i \(-0.923061\pi\)
0.692760 + 0.721168i \(0.256394\pi\)
\(600\) 24.7055 34.6940i 1.00860 1.41638i
\(601\) 14.5400 4.26932i 0.593097 0.174149i 0.0286096 0.999591i \(-0.490892\pi\)
0.564487 + 0.825442i \(0.309074\pi\)
\(602\) 4.36543 11.5626i 0.177922 0.471258i
\(603\) −4.18076 2.68681i −0.170254 0.109415i
\(604\) 22.1549 64.0123i 0.901469 2.60462i
\(605\) 0.523942 + 0.209755i 0.0213013 + 0.00852775i
\(606\) 29.0397 27.6893i 1.17966 1.12480i
\(607\) −41.5805 21.4362i −1.68770 0.870070i −0.987781 0.155848i \(-0.950189\pi\)
−0.699919 0.714222i \(-0.746781\pi\)
\(608\) 8.33859 57.9962i 0.338175 2.35206i
\(609\) −12.2042 + 5.86819i −0.494539 + 0.237791i
\(610\) 0.991509 2.17110i 0.0401450 0.0879053i
\(611\) 21.2065 8.48980i 0.857923 0.343460i
\(612\) 1.64439 + 34.5200i 0.0664705 + 1.39539i
\(613\) −13.4782 + 12.8515i −0.544381 + 0.519066i −0.911606 0.411066i \(-0.865157\pi\)
0.367225 + 0.930132i \(0.380308\pi\)
\(614\) −4.75239 + 3.73732i −0.191791 + 0.150826i
\(615\) 0.709133 + 0.818383i 0.0285950 + 0.0330004i
\(616\) −27.2266 86.3624i −1.09699 3.47964i
\(617\) 1.08186 1.24853i 0.0435539 0.0502639i −0.733555 0.679631i \(-0.762140\pi\)
0.777109 + 0.629367i \(0.216686\pi\)
\(618\) 3.69738 + 3.52545i 0.148731 + 0.141814i
\(619\) 26.9410 + 2.57256i 1.08285 + 0.103400i 0.621192 0.783658i \(-0.286649\pi\)
0.461658 + 0.887058i \(0.347255\pi\)
\(620\) −1.83238 + 3.17378i −0.0735902 + 0.127462i
\(621\) 3.83670 + 2.87746i 0.153961 + 0.115468i
\(622\) 53.9245 2.16218
\(623\) 9.52456 + 9.60109i 0.381593 + 0.384660i
\(624\) −43.2187 + 12.6901i −1.73013 + 0.508012i
\(625\) 24.3654 + 4.69604i 0.974615 + 0.187842i
\(626\) 5.85059 3.01619i 0.233836 0.120551i
\(627\) −13.9908 + 2.69651i −0.558739 + 0.107688i
\(628\) 81.1908 63.8491i 3.23986 2.54786i
\(629\) 39.4334 + 11.5787i 1.57231 + 0.461673i
\(630\) −0.308272 0.727920i −0.0122819 0.0290010i
\(631\) 0.761551 5.29671i 0.0303169 0.210859i −0.969032 0.246935i \(-0.920577\pi\)
0.999349 + 0.0360760i \(0.0114858\pi\)
\(632\) −36.2613 + 3.46254i −1.44240 + 0.137732i
\(633\) −6.25966 8.79046i −0.248799 0.349390i
\(634\) −63.7046 50.0979i −2.53003 1.98964i
\(635\) −0.965904 0.497958i −0.0383307 0.0197609i
\(636\) −64.8782 19.0500i −2.57259 0.755380i
\(637\) 4.96394 24.6903i 0.196679 0.978267i
\(638\) 36.0102 + 41.5580i 1.42566 + 1.64530i
\(639\) −0.544205 + 11.4243i −0.0215284 + 0.451937i
\(640\) −0.668830 1.93246i −0.0264378 0.0763871i
\(641\) 4.89671 20.1845i 0.193408 0.797240i −0.789591 0.613633i \(-0.789708\pi\)
0.983000 0.183607i \(-0.0587773\pi\)
\(642\) 20.2825 28.4828i 0.800486 1.12413i
\(643\) −14.7857 −0.583090 −0.291545 0.956557i \(-0.594169\pi\)
−0.291545 + 0.956557i \(0.594169\pi\)
\(644\) −61.2043 + 24.1557i −2.41179 + 0.951867i
\(645\) −0.194238 −0.00764810
\(646\) −36.8389 + 51.7330i −1.44941 + 2.03541i
\(647\) −10.3966 + 42.8556i −0.408734 + 1.68483i 0.280151 + 0.959956i \(0.409616\pi\)
−0.688885 + 0.724870i \(0.741900\pi\)
\(648\) −2.79300 8.06984i −0.109719 0.317013i
\(649\) −0.669361 + 14.0516i −0.0262747 + 0.551574i
\(650\) −31.4996 36.3525i −1.23552 1.42586i
\(651\) −7.98052 14.7553i −0.312781 0.578306i
\(652\) 6.20951 + 1.82328i 0.243183 + 0.0714050i
\(653\) 2.83884 + 1.46352i 0.111092 + 0.0572720i 0.512877 0.858462i \(-0.328580\pi\)
−0.401785 + 0.915734i \(0.631610\pi\)
\(654\) −15.4820 12.1751i −0.605392 0.476086i
\(655\) 0.0671022 + 0.0942319i 0.00262190 + 0.00368195i
\(656\) −121.082 + 11.5620i −4.72747 + 0.451419i
\(657\) −0.556921 + 3.87347i −0.0217276 + 0.151119i
\(658\) −44.6893 5.52474i −1.74217 0.215377i
\(659\) 34.1509 + 10.0276i 1.33033 + 0.390620i 0.868210 0.496198i \(-0.165271\pi\)
0.462120 + 0.886818i \(0.347089\pi\)
\(660\) −1.82095 + 1.43201i −0.0708802 + 0.0557408i
\(661\) −12.8327 + 2.47330i −0.499134 + 0.0962002i −0.432604 0.901584i \(-0.642405\pi\)
−0.0665304 + 0.997784i \(0.521193\pi\)
\(662\) 51.9985 26.8071i 2.02098 1.04189i
\(663\) 23.5435 + 4.53765i 0.914356 + 0.176228i
\(664\) 37.1952 10.9215i 1.44345 0.423836i
\(665\) 0.275389 1.01156i 0.0106791 0.0392265i
\(666\) −16.5309 −0.640561
\(667\) 17.3724 17.3415i 0.672663 0.671464i
\(668\) 4.11755 7.13180i 0.159313 0.275938i
\(669\) 3.60654 + 0.344383i 0.139437 + 0.0133146i
\(670\) −1.07464 1.02467i −0.0415170 0.0395864i
\(671\) 20.9665 24.1966i 0.809402 0.934100i
\(672\) 42.5721 + 9.43957i 1.64225 + 0.364139i
\(673\) 11.0058 + 12.7014i 0.424244 + 0.489603i 0.927125 0.374752i \(-0.122272\pi\)
−0.502881 + 0.864355i \(0.667727\pi\)
\(674\) 24.8982 19.5802i 0.959044 0.754201i
\(675\) 3.60968 3.44182i 0.138937 0.132476i
\(676\) −0.0138281 0.290287i −0.000531849 0.0111649i
\(677\) −32.3427 + 12.9481i −1.24303 + 0.497634i −0.897600 0.440811i \(-0.854691\pi\)
−0.345430 + 0.938445i \(0.612267\pi\)
\(678\) −3.57859 + 7.83602i −0.137435 + 0.300941i
\(679\) −8.02426 5.47792i −0.307943 0.210223i
\(680\) −0.902743 + 6.27872i −0.0346186 + 0.240778i
\(681\) 0.00645263 + 0.00332656i 0.000247265 + 0.000127474i
\(682\) −49.3003 + 47.0078i −1.88781 + 1.80002i
\(683\) −3.51032 1.40532i −0.134319 0.0537731i 0.303529 0.952822i \(-0.401835\pi\)
−0.437848 + 0.899049i \(0.644259\pi\)
\(684\) 6.02958 17.4213i 0.230547 0.666121i
\(685\) 0.503917 + 0.323848i 0.0192537 + 0.0123736i
\(686\) −32.0661 + 37.9005i −1.22429 + 1.44705i
\(687\) −20.2095 + 5.93405i −0.771041 + 0.226398i
\(688\) 12.6554 17.7721i 0.482484 0.677554i
\(689\) −23.4561 + 40.6272i −0.893607 + 1.54777i
\(690\) 0.962918 + 1.06115i 0.0366577 + 0.0403971i
\(691\) 3.32255 + 5.75483i 0.126396 + 0.218924i 0.922278 0.386528i \(-0.126326\pi\)
−0.795882 + 0.605452i \(0.792992\pi\)
\(692\) −18.4926 40.4931i −0.702983 1.53932i
\(693\) −1.21675 10.5339i −0.0462204 0.400150i
\(694\) 17.9558 20.7221i 0.681595 0.786602i
\(695\) 0.0784366 1.64659i 0.00297527 0.0624586i
\(696\) −42.9178 + 8.27173i −1.62679 + 0.313539i
\(697\) 60.1083 + 24.0637i 2.27676 + 0.911479i
\(698\) 15.1720 + 62.5399i 0.574270 + 2.36717i
\(699\) −24.8537 + 15.9725i −0.940052 + 0.604135i
\(700\) 14.2780 + 66.9232i 0.539659 + 2.52946i
\(701\) −7.62439 + 16.6951i −0.287969 + 0.630565i −0.997230 0.0743818i \(-0.976302\pi\)
0.709261 + 0.704946i \(0.249029\pi\)
\(702\) −9.60055 + 0.916741i −0.362349 + 0.0346002i
\(703\) −17.2330 13.5522i −0.649954 0.511130i
\(704\) −3.65028 76.6288i −0.137575 2.88806i
\(705\) 0.166842 + 0.687733i 0.00628364 + 0.0259015i
\(706\) −4.95415 34.4568i −0.186452 1.29680i
\(707\) 0.784021 + 39.5954i 0.0294862 + 1.48914i
\(708\) −15.3120 9.84040i −0.575459 0.369825i
\(709\) −28.6272 5.51745i −1.07512 0.207212i −0.379187 0.925320i \(-0.623796\pi\)
−0.695932 + 0.718108i \(0.745008\pi\)
\(710\) −0.805647 + 3.32092i −0.0302354 + 0.124632i
\(711\) −4.24630 0.405473i −0.159249 0.0152064i
\(712\) 21.8252 + 37.8024i 0.817935 + 1.41670i
\(713\) 22.4819 + 20.4741i 0.841955 + 0.766760i
\(714\) −36.3264 30.2388i −1.35948 1.13166i
\(715\) 0.667662 + 1.46198i 0.0249692 + 0.0546748i
\(716\) 5.46494 + 5.21081i 0.204234 + 0.194737i
\(717\) −8.99575 25.9915i −0.335952 0.970671i
\(718\) 21.2241 10.9418i 0.792075 0.408343i
\(719\) 0.278158 0.803684i 0.0103735 0.0299723i −0.939695 0.342013i \(-0.888891\pi\)
0.950069 + 0.312041i \(0.101013\pi\)
\(720\) −0.198595 1.38126i −0.00740121 0.0514765i
\(721\) −5.03088 + 0.339586i −0.187360 + 0.0126469i
\(722\) −14.3460 + 9.21964i −0.533904 + 0.343120i
\(723\) −24.8128 + 9.93356i −0.922799 + 0.369433i
\(724\) 18.5658 + 26.0720i 0.689991 + 0.968957i
\(725\) −14.8076 20.7944i −0.549941 0.772283i
\(726\) −12.6007 + 5.04455i −0.467655 + 0.187221i
\(727\) −23.4226 + 15.0528i −0.868698 + 0.558278i −0.897354 0.441311i \(-0.854514\pi\)
0.0286563 + 0.999589i \(0.490877\pi\)
\(728\) 35.8097 72.9731i 1.32720 2.70456i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −0.382418 + 1.10492i −0.0141539 + 0.0408950i
\(731\) −10.3226 + 5.32169i −0.381797 + 0.196830i
\(732\) 13.5488 + 39.1466i 0.500777 + 1.44690i
\(733\) −16.9157 16.1291i −0.624797 0.595743i 0.310081 0.950710i \(-0.399644\pi\)
−0.934879 + 0.354967i \(0.884492\pi\)
\(734\) −34.3907 75.3051i −1.26938 2.77956i
\(735\) 0.735249 + 0.261080i 0.0271201 + 0.00963008i
\(736\) −78.4920 + 9.31389i −2.89326 + 0.343315i
\(737\) −9.95902 17.2495i −0.366845 0.635395i
\(738\) −25.9250 2.47553i −0.954311 0.0911257i
\(739\) −3.79051 + 15.6247i −0.139436 + 0.574764i 0.858629 + 0.512597i \(0.171316\pi\)
−0.998066 + 0.0621673i \(0.980199\pi\)
\(740\) −3.50002 0.674574i −0.128663 0.0247978i
\(741\) −10.7598 6.91492i −0.395272 0.254026i
\(742\) 79.1566 47.8151i 2.90593 1.75535i
\(743\) −3.54612 24.6638i −0.130095 0.904828i −0.945427 0.325835i \(-0.894355\pi\)
0.815332 0.578993i \(-0.196554\pi\)
\(744\) −12.7650 52.6179i −0.467987 1.92907i
\(745\) −0.00996028 0.209092i −0.000364916 0.00766054i
\(746\) 14.0484 + 11.0478i 0.514349 + 0.404489i
\(747\) 4.51899 0.431511i 0.165341 0.0157882i
\(748\) −57.5391 + 125.993i −2.10384 + 4.60676i
\(749\) 7.20098 + 33.7521i 0.263118 + 1.23327i
\(750\) 2.51040 1.61334i 0.0916669 0.0589107i
\(751\) −5.65951 23.3288i −0.206518 0.851280i −0.976900 0.213697i \(-0.931449\pi\)
0.770382 0.637583i \(-0.220066\pi\)
\(752\) −73.7957 29.5433i −2.69105 1.07733i
\(753\) −17.3504 + 3.34402i −0.632284 + 0.121863i
\(754\) −2.34873 + 49.3059i −0.0855358 + 1.79562i
\(755\) 0.953452 1.10034i 0.0346997 0.0400456i
\(756\) 12.5905 + 5.45130i 0.457912 + 0.198262i
\(757\) 0.179829 + 0.393770i 0.00653598 + 0.0143118i 0.912872 0.408246i \(-0.133860\pi\)
−0.906336 + 0.422558i \(0.861132\pi\)
\(758\) −28.6077 49.5501i −1.03908 1.79974i
\(759\) 8.38321 + 17.2968i 0.304291 + 0.627834i
\(760\) 1.69188 2.93043i 0.0613710 0.106298i
\(761\) −8.03897 + 11.2891i −0.291412 + 0.409231i −0.934164 0.356843i \(-0.883853\pi\)
0.642752 + 0.766074i \(0.277793\pi\)
\(762\) 25.0764 7.36310i 0.908422 0.266737i
\(763\) 19.1833 3.14695i 0.694482 0.113927i
\(764\) 62.5435 + 40.1943i 2.26274 + 1.45418i
\(765\) −0.242951 + 0.701962i −0.00878392 + 0.0253795i
\(766\) −80.6242 32.2771i −2.91307 1.16622i
\(767\) −9.13929 + 8.71429i −0.330001 + 0.314655i
\(768\) 9.68642 + 4.99369i 0.349528 + 0.180194i
\(769\) −0.146640 + 1.01990i −0.00528796 + 0.0367786i −0.992295 0.123901i \(-0.960459\pi\)
0.987007 + 0.160680i \(0.0513686\pi\)
\(770\) 0.238667 3.15928i 0.00860096 0.113852i
\(771\) 2.44979 5.36430i 0.0882272 0.193191i
\(772\) −64.3433 + 25.7592i −2.31577 + 0.927093i
\(773\) 0.0655474 + 1.37601i