Properties

Label 322.2.i.d.141.2
Level $322$
Weight $2$
Character 322.141
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 141.2
Character \(\chi\) \(=\) 322.141
Dual form 322.2.i.d.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.182677 + 0.400008i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.48992 - 2.87352i) q^{5} +(0.421934 + 0.123891i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.83795 + 2.12110i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.182677 + 0.400008i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.48992 - 2.87352i) q^{5} +(0.421934 + 0.123891i) q^{6} +(-0.841254 + 0.540641i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.83795 + 2.12110i) q^{9} +(-3.19863 - 2.05563i) q^{10} +(0.610212 - 4.24412i) q^{11} +(0.0625825 - 0.435271i) q^{12} +(-2.14909 - 1.38114i) q^{13} +(0.654861 + 0.755750i) q^{14} +(0.694579 + 1.52092i) q^{15} +(0.841254 - 0.540641i) q^{16} +(3.58064 + 1.05137i) q^{17} +(1.83795 - 2.12110i) q^{18} +(-1.18781 + 0.348774i) q^{19} +(-1.57950 + 3.45862i) q^{20} +(-0.0625825 - 0.435271i) q^{21} -4.28776 q^{22} +(-1.68058 - 4.49173i) q^{23} -0.439747 q^{24} +(-1.34585 - 9.36058i) q^{25} +(-1.06123 + 2.32377i) q^{26} +(-2.45001 + 0.719388i) q^{27} +(0.654861 - 0.755750i) q^{28} +(5.13929 + 1.50903i) q^{29} +(1.40659 - 0.903958i) q^{30} +(-2.97598 - 6.51650i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.58621 + 1.01939i) q^{33} +(0.531091 - 3.69382i) q^{34} +(-0.541112 + 3.76351i) q^{35} +(-2.36108 - 1.51737i) q^{36} +(5.05639 + 5.83538i) q^{37} +(0.514267 + 1.12609i) q^{38} +(0.945056 - 0.607351i) q^{39} +(3.64820 + 1.07121i) q^{40} +(0.147899 - 0.170685i) q^{41} +(-0.421934 + 0.123891i) q^{42} +(-3.98270 + 8.72090i) q^{43} +(0.610212 + 4.24412i) q^{44} +10.6714 q^{45} +(-4.20684 + 2.30271i) q^{46} +0.240829 q^{47} +(0.0625825 + 0.435271i) q^{48} +(0.415415 - 0.909632i) q^{49} +(-9.07377 + 2.66430i) q^{50} +(-1.07466 + 1.24022i) q^{51} +(2.45115 + 0.719723i) q^{52} +(-8.72405 + 5.60661i) q^{53} +(1.06074 + 2.32269i) q^{54} +(-10.6762 - 12.3210i) q^{55} +(-0.841254 - 0.540641i) q^{56} +(0.0774746 - 0.538848i) q^{57} +(0.762274 - 5.30173i) q^{58} +(6.17963 + 3.97141i) q^{59} +(-1.09493 - 1.26362i) q^{60} +(3.72155 + 8.14906i) q^{61} +(-6.02664 + 3.87309i) q^{62} +(-2.69293 - 0.790717i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-9.31980 + 2.73654i) q^{65} +(0.783276 - 1.71514i) q^{66} +(1.83706 + 12.7770i) q^{67} -3.73181 q^{68} +(2.10373 + 0.148294i) q^{69} +3.80222 q^{70} +(1.00016 + 6.95624i) q^{71} +(-1.16591 + 2.55299i) q^{72} +(2.22598 - 0.653608i) q^{73} +(5.05639 - 5.83538i) q^{74} +(3.99016 + 1.17162i) q^{75} +(1.04144 - 0.669292i) q^{76} +(1.78120 + 3.90028i) q^{77} +(-0.735664 - 0.849002i) q^{78} +(4.54548 + 2.92120i) q^{79} +(0.541112 - 3.76351i) q^{80} +(-1.03847 + 7.22273i) q^{81} +(-0.189996 - 0.122103i) q^{82} +(-1.65605 - 1.91119i) q^{83} +(0.182677 + 0.400008i) q^{84} +(11.9367 - 7.67122i) q^{85} +(9.19893 + 2.70105i) q^{86} +(-1.54246 + 1.78009i) q^{87} +(4.11407 - 1.20800i) q^{88} +(-1.27490 + 2.79164i) q^{89} +(-1.51870 - 10.5628i) q^{90} +2.55463 q^{91} +(2.87797 + 3.83631i) q^{92} +3.15029 q^{93} +(-0.0342736 - 0.238378i) q^{94} +(-1.95536 + 4.28163i) q^{95} +(0.421934 - 0.123891i) q^{96} +(8.97403 - 10.3566i) q^{97} +(-0.959493 - 0.281733i) q^{98} +(10.1237 - 6.50614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} + O(q^{10}) \) \( 40q - 4q^{2} - 4q^{4} + 9q^{5} + 4q^{7} - 4q^{8} - 8q^{9} - 2q^{10} + 6q^{11} + 2q^{13} + 4q^{14} - 3q^{15} - 4q^{16} - 13q^{17} - 8q^{18} - 22q^{19} - 2q^{20} - 16q^{22} - 9q^{23} + 22q^{24} - 15q^{25} - 9q^{26} + 21q^{27} + 4q^{28} - 10q^{29} - 14q^{30} - 2q^{31} - 4q^{32} + 8q^{33} - 2q^{34} + 13q^{35} - 8q^{36} - 45q^{37} + 11q^{38} - 22q^{39} + 9q^{40} + 21q^{41} + 31q^{43} + 6q^{44} + 2q^{45} - 9q^{46} + 64q^{47} - 4q^{49} + 7q^{50} + 65q^{51} + 2q^{52} + 69q^{53} + 21q^{54} - 74q^{55} + 4q^{56} - 68q^{57} + 12q^{58} + 48q^{59} - 3q^{60} + 6q^{61} - 13q^{62} + 8q^{63} - 4q^{64} - 64q^{65} - 69q^{66} + 31q^{67} - 2q^{68} - 62q^{69} + 2q^{70} - 57q^{71} - 19q^{72} + 70q^{73} - 45q^{74} - 11q^{75} + 22q^{76} - 6q^{77} + 33q^{78} + 34q^{79} - 13q^{80} + 30q^{81} - 12q^{82} - 56q^{83} - 17q^{85} + 42q^{86} - 3q^{87} + 6q^{88} + 16q^{89} + 46q^{90} - 46q^{91} + 24q^{92} + 48q^{93} + 9q^{94} - 42q^{95} - 36q^{97} - 4q^{98} + 112q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.182677 + 0.400008i −0.105469 + 0.230945i −0.955007 0.296582i \(-0.904153\pi\)
0.849539 + 0.527527i \(0.176880\pi\)
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 2.48992 2.87352i 1.11353 1.28508i 0.158893 0.987296i \(-0.449208\pi\)
0.954634 0.297782i \(-0.0962470\pi\)
\(6\) 0.421934 + 0.123891i 0.172254 + 0.0505783i
\(7\) −0.841254 + 0.540641i −0.317964 + 0.204343i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 1.83795 + 2.12110i 0.612649 + 0.707035i
\(10\) −3.19863 2.05563i −1.01149 0.650048i
\(11\) 0.610212 4.24412i 0.183986 1.27965i −0.663236 0.748410i \(-0.730818\pi\)
0.847222 0.531239i \(-0.178273\pi\)
\(12\) 0.0625825 0.435271i 0.0180660 0.125652i
\(13\) −2.14909 1.38114i −0.596051 0.383059i 0.207552 0.978224i \(-0.433450\pi\)
−0.803603 + 0.595165i \(0.797087\pi\)
\(14\) 0.654861 + 0.755750i 0.175019 + 0.201983i
\(15\) 0.694579 + 1.52092i 0.179339 + 0.392699i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 3.58064 + 1.05137i 0.868433 + 0.254995i 0.685449 0.728121i \(-0.259606\pi\)
0.182984 + 0.983116i \(0.441424\pi\)
\(18\) 1.83795 2.12110i 0.433208 0.499949i
\(19\) −1.18781 + 0.348774i −0.272503 + 0.0800142i −0.415129 0.909762i \(-0.636264\pi\)
0.142626 + 0.989777i \(0.454445\pi\)
\(20\) −1.57950 + 3.45862i −0.353186 + 0.773370i
\(21\) −0.0625825 0.435271i −0.0136566 0.0949839i
\(22\) −4.28776 −0.914153
\(23\) −1.68058 4.49173i −0.350425 0.936591i
\(24\) −0.439747 −0.0897629
\(25\) −1.34585 9.36058i −0.269170 1.87212i
\(26\) −1.06123 + 2.32377i −0.208125 + 0.455730i
\(27\) −2.45001 + 0.719388i −0.471505 + 0.138446i
\(28\) 0.654861 0.755750i 0.123757 0.142823i
\(29\) 5.13929 + 1.50903i 0.954342 + 0.280220i 0.721593 0.692317i \(-0.243410\pi\)
0.232748 + 0.972537i \(0.425228\pi\)
\(30\) 1.40659 0.903958i 0.256806 0.165039i
\(31\) −2.97598 6.51650i −0.534503 1.17040i −0.963651 0.267164i \(-0.913914\pi\)
0.429149 0.903234i \(-0.358814\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.58621 + 1.01939i 0.276123 + 0.177454i
\(34\) 0.531091 3.69382i 0.0910814 0.633485i
\(35\) −0.541112 + 3.76351i −0.0914646 + 0.636150i
\(36\) −2.36108 1.51737i −0.393514 0.252896i
\(37\) 5.05639 + 5.83538i 0.831265 + 0.959331i 0.999652 0.0263898i \(-0.00840110\pi\)
−0.168386 + 0.985721i \(0.553856\pi\)
\(38\) 0.514267 + 1.12609i 0.0834252 + 0.182676i
\(39\) 0.945056 0.607351i 0.151330 0.0972540i
\(40\) 3.64820 + 1.07121i 0.576831 + 0.169373i
\(41\) 0.147899 0.170685i 0.0230980 0.0266565i −0.744083 0.668087i \(-0.767113\pi\)
0.767181 + 0.641431i \(0.221659\pi\)
\(42\) −0.421934 + 0.123891i −0.0651058 + 0.0191168i
\(43\) −3.98270 + 8.72090i −0.607356 + 1.32992i 0.317011 + 0.948422i \(0.397321\pi\)
−0.924368 + 0.381503i \(0.875407\pi\)
\(44\) 0.610212 + 4.24412i 0.0919929 + 0.639824i
\(45\) 10.6714 1.59080
\(46\) −4.20684 + 2.30271i −0.620265 + 0.339516i
\(47\) 0.240829 0.0351285 0.0175643 0.999846i \(-0.494409\pi\)
0.0175643 + 0.999846i \(0.494409\pi\)
\(48\) 0.0625825 + 0.435271i 0.00903300 + 0.0628259i
\(49\) 0.415415 0.909632i 0.0593450 0.129947i
\(50\) −9.07377 + 2.66430i −1.28322 + 0.376789i
\(51\) −1.07466 + 1.24022i −0.150482 + 0.173666i
\(52\) 2.45115 + 0.719723i 0.339913 + 0.0998076i
\(53\) −8.72405 + 5.60661i −1.19834 + 0.770127i −0.978668 0.205447i \(-0.934135\pi\)
−0.219673 + 0.975574i \(0.570499\pi\)
\(54\) 1.06074 + 2.32269i 0.144348 + 0.316079i
\(55\) −10.6762 12.3210i −1.43958 1.66136i
\(56\) −0.841254 0.540641i −0.112417 0.0722462i
\(57\) 0.0774746 0.538848i 0.0102618 0.0713721i
\(58\) 0.762274 5.30173i 0.100092 0.696152i
\(59\) 6.17963 + 3.97141i 0.804520 + 0.517033i 0.877088 0.480330i \(-0.159483\pi\)
−0.0725682 + 0.997363i \(0.523120\pi\)
\(60\) −1.09493 1.26362i −0.141355 0.163133i
\(61\) 3.72155 + 8.14906i 0.476496 + 1.04338i 0.983412 + 0.181385i \(0.0580581\pi\)
−0.506916 + 0.861995i \(0.669215\pi\)
\(62\) −6.02664 + 3.87309i −0.765384 + 0.491883i
\(63\) −2.69293 0.790717i −0.339278 0.0996210i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −9.31980 + 2.73654i −1.15598 + 0.339426i
\(66\) 0.783276 1.71514i 0.0964147 0.211119i
\(67\) 1.83706 + 12.7770i 0.224432 + 1.56096i 0.720984 + 0.692952i \(0.243690\pi\)
−0.496552 + 0.868007i \(0.665401\pi\)
\(68\) −3.73181 −0.452548
\(69\) 2.10373 + 0.148294i 0.253259 + 0.0178525i
\(70\) 3.80222 0.454452
\(71\) 1.00016 + 6.95624i 0.118697 + 0.825553i 0.958994 + 0.283427i \(0.0914714\pi\)
−0.840297 + 0.542126i \(0.817619\pi\)
\(72\) −1.16591 + 2.55299i −0.137404 + 0.300873i
\(73\) 2.22598 0.653608i 0.260532 0.0764990i −0.148858 0.988859i \(-0.547560\pi\)
0.409390 + 0.912360i \(0.365742\pi\)
\(74\) 5.05639 5.83538i 0.587793 0.678350i
\(75\) 3.99016 + 1.17162i 0.460744 + 0.135287i
\(76\) 1.04144 0.669292i 0.119461 0.0767731i
\(77\) 1.78120 + 3.90028i 0.202986 + 0.444478i
\(78\) −0.735664 0.849002i −0.0832976 0.0961306i
\(79\) 4.54548 + 2.92120i 0.511406 + 0.328661i 0.770764 0.637120i \(-0.219875\pi\)
−0.259358 + 0.965781i \(0.583511\pi\)
\(80\) 0.541112 3.76351i 0.0604981 0.420774i
\(81\) −1.03847 + 7.22273i −0.115386 + 0.802525i
\(82\) −0.189996 0.122103i −0.0209815 0.0134840i
\(83\) −1.65605 1.91119i −0.181775 0.209780i 0.657548 0.753413i \(-0.271594\pi\)
−0.839323 + 0.543633i \(0.817048\pi\)
\(84\) 0.182677 + 0.400008i 0.0199317 + 0.0436444i
\(85\) 11.9367 7.67122i 1.29471 0.832061i
\(86\) 9.19893 + 2.70105i 0.991946 + 0.291262i
\(87\) −1.54246 + 1.78009i −0.165369 + 0.190846i
\(88\) 4.11407 1.20800i 0.438562 0.128773i
\(89\) −1.27490 + 2.79164i −0.135139 + 0.295913i −0.965088 0.261926i \(-0.915642\pi\)
0.829949 + 0.557840i \(0.188370\pi\)
\(90\) −1.51870 10.5628i −0.160085 1.11341i
\(91\) 2.55463 0.267798
\(92\) 2.87797 + 3.83631i 0.300049 + 0.399963i
\(93\) 3.15029 0.326670
\(94\) −0.0342736 0.238378i −0.00353505 0.0245868i
\(95\) −1.95536 + 4.28163i −0.200615 + 0.439286i
\(96\) 0.421934 0.123891i 0.0430634 0.0126446i
\(97\) 8.97403 10.3566i 0.911175 1.05155i −0.0872911 0.996183i \(-0.527821\pi\)
0.998466 0.0553690i \(-0.0176335\pi\)
\(98\) −0.959493 0.281733i −0.0969234 0.0284593i
\(99\) 10.1237 6.50614i 1.01747 0.653891i
\(100\) 3.92851 + 8.60224i 0.392851 + 0.860224i
\(101\) −6.41582 7.40425i −0.638398 0.736750i 0.340693 0.940175i \(-0.389338\pi\)
−0.979091 + 0.203424i \(0.934793\pi\)
\(102\) 1.38054 + 0.887218i 0.136694 + 0.0878477i
\(103\) 1.70033 11.8260i 0.167538 1.16525i −0.716414 0.697676i \(-0.754218\pi\)
0.883952 0.467578i \(-0.154873\pi\)
\(104\) 0.363562 2.52863i 0.0356502 0.247952i
\(105\) −1.40659 0.903958i −0.137269 0.0882172i
\(106\) 6.79110 + 7.83735i 0.659610 + 0.761231i
\(107\) 7.22800 + 15.8271i 0.698757 + 1.53006i 0.841472 + 0.540300i \(0.181689\pi\)
−0.142716 + 0.989764i \(0.545583\pi\)
\(108\) 2.14809 1.38050i 0.206700 0.132838i
\(109\) −16.2235 4.76365i −1.55393 0.456275i −0.611657 0.791123i \(-0.709497\pi\)
−0.942272 + 0.334848i \(0.891315\pi\)
\(110\) −10.6762 + 12.3210i −1.01793 + 1.17476i
\(111\) −3.25789 + 0.956602i −0.309225 + 0.0907966i
\(112\) −0.415415 + 0.909632i −0.0392530 + 0.0859521i
\(113\) 0.228774 + 1.59116i 0.0215212 + 0.149683i 0.997749 0.0670658i \(-0.0213637\pi\)
−0.976227 + 0.216749i \(0.930455\pi\)
\(114\) −0.544389 −0.0509867
\(115\) −17.0916 6.35488i −1.59380 0.592596i
\(116\) −5.35625 −0.497316
\(117\) −1.02038 7.09691i −0.0943343 0.656109i
\(118\) 3.05153 6.68192i 0.280916 0.615121i
\(119\) −3.58064 + 1.05137i −0.328237 + 0.0963790i
\(120\) −1.09493 + 1.26362i −0.0999534 + 0.115352i
\(121\) −7.08573 2.08056i −0.644157 0.189142i
\(122\) 7.53649 4.84341i 0.682321 0.438501i
\(123\) 0.0412574 + 0.0903410i 0.00372005 + 0.00814577i
\(124\) 4.69135 + 5.41410i 0.421295 + 0.486201i
\(125\) −14.2558 9.16162i −1.27507 0.819441i
\(126\) −0.399424 + 2.77806i −0.0355835 + 0.247489i
\(127\) −0.455821 + 3.17030i −0.0404475 + 0.281319i −1.00000 0.000211113i \(-0.999933\pi\)
0.959552 + 0.281530i \(0.0908419\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −2.76088 3.18622i −0.243082 0.280531i
\(130\) 4.03503 + 8.83549i 0.353896 + 0.774924i
\(131\) −7.91646 + 5.08760i −0.691664 + 0.444506i −0.838677 0.544629i \(-0.816671\pi\)
0.147013 + 0.989135i \(0.453034\pi\)
\(132\) −1.80915 0.531214i −0.157466 0.0462363i
\(133\) 0.810692 0.935588i 0.0702959 0.0811258i
\(134\) 12.3855 3.63671i 1.06995 0.314164i
\(135\) −4.03316 + 8.83138i −0.347119 + 0.760084i
\(136\) 0.531091 + 3.69382i 0.0455407 + 0.316743i
\(137\) −14.4038 −1.23060 −0.615298 0.788295i \(-0.710964\pi\)
−0.615298 + 0.788295i \(0.710964\pi\)
\(138\) −0.152608 2.10342i −0.0129908 0.179055i
\(139\) 14.8220 1.25719 0.628593 0.777734i \(-0.283631\pi\)
0.628593 + 0.777734i \(0.283631\pi\)
\(140\) −0.541112 3.76351i −0.0457323 0.318075i
\(141\) −0.0439940 + 0.0963335i −0.00370497 + 0.00811274i
\(142\) 6.74310 1.97995i 0.565868 0.166154i
\(143\) −7.17311 + 8.27821i −0.599846 + 0.692259i
\(144\) 2.69293 + 0.790717i 0.224411 + 0.0658931i
\(145\) 17.1327 11.0105i 1.42279 0.914371i
\(146\) −0.963745 2.11031i −0.0797601 0.174650i
\(147\) 0.287973 + 0.332338i 0.0237516 + 0.0274108i
\(148\) −6.49559 4.17446i −0.533934 0.343139i
\(149\) 2.16746 15.0750i 0.177566 1.23500i −0.684808 0.728723i \(-0.740114\pi\)
0.862374 0.506272i \(-0.168977\pi\)
\(150\) 0.591832 4.11628i 0.0483229 0.336093i
\(151\) 0.0956825 + 0.0614914i 0.00778653 + 0.00500410i 0.544528 0.838742i \(-0.316709\pi\)
−0.536742 + 0.843747i \(0.680345\pi\)
\(152\) −0.810692 0.935588i −0.0657558 0.0758862i
\(153\) 4.35096 + 9.52728i 0.351754 + 0.770235i
\(154\) 3.60709 2.31814i 0.290668 0.186801i
\(155\) −26.1353 7.67401i −2.09924 0.616391i
\(156\) −0.735664 + 0.849002i −0.0589003 + 0.0679746i
\(157\) −22.5944 + 6.63433i −1.80323 + 0.529477i −0.997984 0.0634609i \(-0.979786\pi\)
−0.805248 + 0.592938i \(0.797968\pi\)
\(158\) 2.24458 4.91494i 0.178569 0.391012i
\(159\) −0.648999 4.51389i −0.0514690 0.357975i
\(160\) −3.80222 −0.300591
\(161\) 3.84221 + 2.87010i 0.302808 + 0.226195i
\(162\) 7.29700 0.573307
\(163\) 0.937386 + 6.51966i 0.0734217 + 0.510659i 0.993034 + 0.117831i \(0.0375942\pi\)
−0.919612 + 0.392828i \(0.871497\pi\)
\(164\) −0.0938207 + 0.205439i −0.00732617 + 0.0160421i
\(165\) 6.87878 2.01979i 0.535512 0.157241i
\(166\) −1.65605 + 1.91119i −0.128535 + 0.148337i
\(167\) −16.0657 4.71733i −1.24320 0.365038i −0.406986 0.913434i \(-0.633420\pi\)
−0.836218 + 0.548397i \(0.815238\pi\)
\(168\) 0.369938 0.237745i 0.0285414 0.0183424i
\(169\) −2.68934 5.88883i −0.206872 0.452987i
\(170\) −9.29190 10.7234i −0.712656 0.822449i
\(171\) −2.92293 1.87845i −0.223522 0.143649i
\(172\) 1.36441 9.48970i 0.104036 0.723583i
\(173\) −1.28658 + 8.94836i −0.0978169 + 0.680331i 0.880626 + 0.473813i \(0.157123\pi\)
−0.978443 + 0.206519i \(0.933787\pi\)
\(174\) 1.98148 + 1.27342i 0.150216 + 0.0965379i
\(175\) 6.19291 + 7.14700i 0.468140 + 0.540263i
\(176\) −1.78120 3.90028i −0.134263 0.293995i
\(177\) −2.71747 + 1.74641i −0.204258 + 0.131268i
\(178\) 2.94466 + 0.864631i 0.220712 + 0.0648068i
\(179\) 11.0862 12.7941i 0.828620 0.956278i −0.170960 0.985278i \(-0.554687\pi\)
0.999579 + 0.0289998i \(0.00923223\pi\)
\(180\) −10.2391 + 3.00648i −0.763179 + 0.224090i
\(181\) 8.97288 19.6479i 0.666949 1.46042i −0.208953 0.977926i \(-0.567005\pi\)
0.875902 0.482489i \(-0.160267\pi\)
\(182\) −0.363562 2.52863i −0.0269490 0.187434i
\(183\) −3.93953 −0.291219
\(184\) 3.38769 3.39464i 0.249744 0.250256i
\(185\) 29.3581 2.15845
\(186\) −0.448334 3.11823i −0.0328734 0.228640i
\(187\) 6.64709 14.5551i 0.486083 1.06437i
\(188\) −0.231074 + 0.0678494i −0.0168528 + 0.00494843i
\(189\) 1.67215 1.92976i 0.121631 0.140370i
\(190\) 4.51633 + 1.32611i 0.327649 + 0.0962063i
\(191\) 6.02669 3.87312i 0.436076 0.280249i −0.304128 0.952631i \(-0.598365\pi\)
0.740204 + 0.672382i \(0.234729\pi\)
\(192\) −0.182677 0.400008i −0.0131836 0.0288681i
\(193\) 0.845872 + 0.976188i 0.0608872 + 0.0702676i 0.785376 0.619019i \(-0.212470\pi\)
−0.724489 + 0.689286i \(0.757924\pi\)
\(194\) −11.5283 7.40879i −0.827684 0.531920i
\(195\) 0.607880 4.22790i 0.0435312 0.302766i
\(196\) −0.142315 + 0.989821i −0.0101653 + 0.0707015i
\(197\) 16.8927 + 10.8563i 1.20355 + 0.773478i 0.979568 0.201115i \(-0.0644564\pi\)
0.223987 + 0.974592i \(0.428093\pi\)
\(198\) −7.88067 9.09478i −0.560055 0.646338i
\(199\) −4.69059 10.2710i −0.332507 0.728089i 0.667354 0.744740i \(-0.267427\pi\)
−0.999861 + 0.0166514i \(0.994699\pi\)
\(200\) 7.95560 5.11275i 0.562546 0.361526i
\(201\) −5.44649 1.59923i −0.384166 0.112801i
\(202\) −6.41582 + 7.40425i −0.451415 + 0.520961i
\(203\) −5.13929 + 1.50903i −0.360707 + 0.105913i
\(204\) 0.681717 1.49275i 0.0477297 0.104513i
\(205\) −0.122209 0.849983i −0.00853545 0.0593654i
\(206\) −11.9476 −0.832432
\(207\) 6.43862 11.8202i 0.447515 0.821564i
\(208\) −2.55463 −0.177132
\(209\) 0.755418 + 5.25405i 0.0522533 + 0.363430i
\(210\) −0.694579 + 1.52092i −0.0479305 + 0.104953i
\(211\) −12.7039 + 3.73019i −0.874569 + 0.256797i −0.688058 0.725656i \(-0.741536\pi\)
−0.186512 + 0.982453i \(0.559718\pi\)
\(212\) 6.79110 7.83735i 0.466415 0.538272i
\(213\) −2.96525 0.870677i −0.203176 0.0596578i
\(214\) 14.6374 9.40686i 1.00059 0.643040i
\(215\) 15.1431 + 33.1587i 1.03275 + 2.26141i
\(216\) −1.67215 1.92976i −0.113775 0.131304i
\(217\) 6.02664 + 3.87309i 0.409115 + 0.262922i
\(218\) −2.40632 + 16.7363i −0.162976 + 1.13353i
\(219\) −0.145189 + 1.00981i −0.00981094 + 0.0682366i
\(220\) 13.7149 + 8.81406i 0.924661 + 0.594244i
\(221\) −6.24304 7.20486i −0.419952 0.484651i
\(222\) 1.41051 + 3.08859i 0.0946673 + 0.207292i
\(223\) −2.01942 + 1.29780i −0.135230 + 0.0869071i −0.606507 0.795078i \(-0.707430\pi\)
0.471277 + 0.881985i \(0.343793\pi\)
\(224\) 0.959493 + 0.281733i 0.0641088 + 0.0188240i
\(225\) 17.3812 20.0589i 1.15874 1.33726i
\(226\) 1.54240 0.452890i 0.102599 0.0301258i
\(227\) −7.06356 + 15.4670i −0.468825 + 1.02658i 0.516562 + 0.856250i \(0.327212\pi\)
−0.985387 + 0.170333i \(0.945516\pi\)
\(228\) 0.0774746 + 0.538848i 0.00513088 + 0.0356861i
\(229\) 18.3918 1.21536 0.607681 0.794181i \(-0.292100\pi\)
0.607681 + 0.794181i \(0.292100\pi\)
\(230\) −3.85781 + 17.8220i −0.254377 + 1.17515i
\(231\) −1.88553 −0.124059
\(232\) 0.762274 + 5.30173i 0.0500458 + 0.348076i
\(233\) −2.75255 + 6.02725i −0.180326 + 0.394858i −0.978111 0.208083i \(-0.933278\pi\)
0.797785 + 0.602942i \(0.206005\pi\)
\(234\) −6.87946 + 2.01999i −0.449724 + 0.132051i
\(235\) 0.599646 0.692028i 0.0391166 0.0451429i
\(236\) −7.04819 2.06953i −0.458798 0.134715i
\(237\) −1.99886 + 1.28459i −0.129840 + 0.0834430i
\(238\) 1.55025 + 3.39457i 0.100488 + 0.220037i
\(239\) 5.32188 + 6.14178i 0.344244 + 0.397279i 0.901300 0.433196i \(-0.142614\pi\)
−0.557055 + 0.830475i \(0.688069\pi\)
\(240\) 1.40659 + 0.903958i 0.0907947 + 0.0583502i
\(241\) −3.30424 + 22.9815i −0.212845 + 1.48037i 0.550747 + 0.834672i \(0.314343\pi\)
−0.763593 + 0.645698i \(0.776566\pi\)
\(242\) −1.05098 + 7.30970i −0.0675593 + 0.469886i
\(243\) −9.14372 5.87631i −0.586570 0.376966i
\(244\) −5.86666 6.77049i −0.375574 0.433436i
\(245\) −1.57950 3.45862i −0.100910 0.220963i
\(246\) 0.0835499 0.0536943i 0.00532695 0.00342342i
\(247\) 3.03443 + 0.890988i 0.193076 + 0.0566922i
\(248\) 4.69135 5.41410i 0.297901 0.343796i
\(249\) 1.06701 0.313303i 0.0676191 0.0198548i
\(250\) −7.03956 + 15.4145i −0.445221 + 0.974898i
\(251\) −0.915136 6.36491i −0.0577629 0.401750i −0.998106 0.0615214i \(-0.980405\pi\)
0.940343 0.340228i \(-0.110504\pi\)
\(252\) 2.80662 0.176801
\(253\) −20.0889 + 4.39166i −1.26298 + 0.276101i
\(254\) 3.20290 0.200968
\(255\) 0.887991 + 6.17611i 0.0556081 + 0.386763i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 15.8952 4.66726i 0.991517 0.291136i 0.254546 0.967061i \(-0.418074\pi\)
0.736971 + 0.675925i \(0.236256\pi\)
\(258\) −2.76088 + 3.18622i −0.171885 + 0.198366i
\(259\) −7.40855 2.17535i −0.460345 0.135170i
\(260\) 8.17131 5.25138i 0.506763 0.325677i
\(261\) 6.24493 + 13.6745i 0.386551 + 0.846429i
\(262\) 6.16245 + 7.11184i 0.380717 + 0.439371i
\(263\) −12.0555 7.74762i −0.743376 0.477739i 0.113321 0.993558i \(-0.463851\pi\)
−0.856697 + 0.515820i \(0.827487\pi\)
\(264\) −0.268339 + 1.86634i −0.0165151 + 0.114865i
\(265\) −5.61149 + 39.0288i −0.344711 + 2.39752i
\(266\) −1.04144 0.669292i −0.0638547 0.0410369i
\(267\) −0.883782 1.01994i −0.0540866 0.0624193i
\(268\) −5.36234 11.7419i −0.327557 0.717250i
\(269\) −2.06191 + 1.32511i −0.125717 + 0.0807934i −0.601988 0.798505i \(-0.705624\pi\)
0.476271 + 0.879299i \(0.341988\pi\)
\(270\) 9.31547 + 2.73527i 0.566921 + 0.166463i
\(271\) 12.8139 14.7880i 0.778387 0.898306i −0.218605 0.975813i \(-0.570151\pi\)
0.996992 + 0.0775072i \(0.0246961\pi\)
\(272\) 3.58064 1.05137i 0.217108 0.0637487i
\(273\) −0.466673 + 1.02187i −0.0282444 + 0.0618465i
\(274\) 2.04987 + 14.2571i 0.123837 + 0.861305i
\(275\) −40.5486 −2.44517
\(276\) −2.06029 + 0.450402i −0.124015 + 0.0271110i
\(277\) −12.1410 −0.729480 −0.364740 0.931109i \(-0.618842\pi\)
−0.364740 + 0.931109i \(0.618842\pi\)
\(278\) −2.10939 14.6711i −0.126513 0.879916i
\(279\) 8.35247 18.2894i 0.500049 1.09495i
\(280\) −3.64820 + 1.07121i −0.218022 + 0.0640169i
\(281\) −5.62276 + 6.48902i −0.335426 + 0.387102i −0.898258 0.439469i \(-0.855167\pi\)
0.562832 + 0.826572i \(0.309712\pi\)
\(282\) 0.101614 + 0.0298366i 0.00605102 + 0.00177674i
\(283\) 0.886531 0.569739i 0.0526988 0.0338675i −0.514026 0.857775i \(-0.671847\pi\)
0.566725 + 0.823907i \(0.308210\pi\)
\(284\) −2.91944 6.39268i −0.173237 0.379336i
\(285\) −1.35549 1.56431i −0.0802920 0.0926620i
\(286\) 9.21479 + 5.92199i 0.544882 + 0.350174i
\(287\) −0.0321416 + 0.223549i −0.00189726 + 0.0131957i
\(288\) 0.399424 2.77806i 0.0235363 0.163698i
\(289\) −2.58570 1.66173i −0.152100 0.0977486i
\(290\) −13.3366 15.3913i −0.783155 0.903809i
\(291\) 2.50336 + 5.48159i 0.146750 + 0.321337i
\(292\) −1.95167 + 1.25426i −0.114213 + 0.0734002i
\(293\) 30.9426 + 9.08556i 1.80768 + 0.530784i 0.998395 0.0566280i \(-0.0180349\pi\)
0.809288 + 0.587412i \(0.199853\pi\)
\(294\) 0.287973 0.332338i 0.0167949 0.0193824i
\(295\) 26.7987 7.86882i 1.56028 0.458140i
\(296\) −3.20755 + 7.02356i −0.186435 + 0.408236i
\(297\) 1.55814 + 10.8371i 0.0904125 + 0.628833i
\(298\) −15.2301 −0.882254
\(299\) −2.59199 + 11.9743i −0.149898 + 0.692489i
\(300\) −4.15861 −0.240098
\(301\) −1.36441 9.48970i −0.0786434 0.546977i
\(302\) 0.0472485 0.103460i 0.00271884 0.00595344i
\(303\) 4.13378 1.21379i 0.237479 0.0697303i
\(304\) −0.810692 + 0.935588i −0.0464964 + 0.0536597i
\(305\) 32.6829 + 9.59656i 1.87142 + 0.549498i
\(306\) 8.81110 5.66255i 0.503697 0.323706i
\(307\) −0.477718 1.04606i −0.0272648 0.0597016i 0.895510 0.445042i \(-0.146811\pi\)
−0.922774 + 0.385340i \(0.874084\pi\)
\(308\) −2.80788 3.24047i −0.159994 0.184643i
\(309\) 4.41989 + 2.84049i 0.251439 + 0.161590i
\(310\) −3.87646 + 26.9614i −0.220168 + 1.53130i
\(311\) 2.28844 15.9165i 0.129766 0.902539i −0.816084 0.577934i \(-0.803859\pi\)
0.945849 0.324606i \(-0.105232\pi\)
\(312\) 0.945056 + 0.607351i 0.0535033 + 0.0343845i
\(313\) −19.2512 22.2171i −1.08814 1.25578i −0.964677 0.263434i \(-0.915145\pi\)
−0.123464 0.992349i \(-0.539401\pi\)
\(314\) 9.78232 + 21.4203i 0.552048 + 1.20882i
\(315\) −8.97734 + 5.76939i −0.505816 + 0.325068i
\(316\) −5.18435 1.52226i −0.291643 0.0856340i
\(317\) 14.6904 16.9536i 0.825093 0.952208i −0.174379 0.984679i \(-0.555792\pi\)
0.999473 + 0.0324702i \(0.0103374\pi\)
\(318\) −4.37558 + 1.28479i −0.245370 + 0.0720473i
\(319\) 9.54055 20.8909i 0.534168 1.16967i
\(320\) 0.541112 + 3.76351i 0.0302491 + 0.210387i
\(321\) −7.65135 −0.427057
\(322\) 2.29408 4.21155i 0.127844 0.234701i
\(323\) −4.61983 −0.257054
\(324\) −1.03847 7.22273i −0.0576929 0.401263i
\(325\) −10.0359 + 21.9756i −0.556692 + 1.21898i
\(326\) 6.31990 1.85569i 0.350027 0.102777i
\(327\) 4.86916 5.61931i 0.269265 0.310749i
\(328\) 0.216700 + 0.0636288i 0.0119652 + 0.00351331i
\(329\) −0.202598 + 0.130202i −0.0111696 + 0.00717827i
\(330\) −2.97819 6.52132i −0.163944 0.358987i
\(331\) 0.529583 + 0.611171i 0.0291085 + 0.0335930i 0.770117 0.637902i \(-0.220198\pi\)
−0.741009 + 0.671495i \(0.765652\pi\)
\(332\) 2.12741 + 1.36721i 0.116757 + 0.0750351i
\(333\) −3.08408 + 21.4503i −0.169007 + 1.17547i
\(334\) −2.38292 + 16.5736i −0.130387 + 0.906865i
\(335\) 41.2891 + 26.5349i 2.25587 + 1.44976i
\(336\) −0.287973 0.332338i −0.0157102 0.0181305i
\(337\) −5.20583 11.3992i −0.283580 0.620953i 0.713216 0.700945i \(-0.247238\pi\)
−0.996796 + 0.0799915i \(0.974511\pi\)
\(338\) −5.44616 + 3.50003i −0.296232 + 0.190377i
\(339\) −0.678266 0.199157i −0.0368384 0.0108167i
\(340\) −9.29190 + 10.7234i −0.503924 + 0.581560i
\(341\) −29.4727 + 8.65398i −1.59604 + 0.468639i
\(342\) −1.44335 + 3.16051i −0.0780477 + 0.170901i
\(343\) 0.142315 + 0.989821i 0.00768428 + 0.0534453i
\(344\) −9.58728 −0.516912
\(345\) 5.66425 5.67588i 0.304953 0.305579i
\(346\) 9.04038 0.486014
\(347\) 1.88192 + 13.0890i 0.101027 + 0.702657i 0.975886 + 0.218280i \(0.0700446\pi\)
−0.874859 + 0.484377i \(0.839046\pi\)
\(348\) 0.978466 2.14254i 0.0524513 0.114852i
\(349\) −13.6938 + 4.02085i −0.733010 + 0.215231i −0.626874 0.779120i \(-0.715666\pi\)
−0.106136 + 0.994352i \(0.533848\pi\)
\(350\) 6.19291 7.14700i 0.331025 0.382023i
\(351\) 6.25887 + 1.83777i 0.334074 + 0.0980930i
\(352\) −3.60709 + 2.31814i −0.192259 + 0.123557i
\(353\) −12.1392 26.5812i −0.646107 1.41478i −0.894921 0.446225i \(-0.852768\pi\)
0.248814 0.968551i \(-0.419959\pi\)
\(354\) 2.11537 + 2.44127i 0.112431 + 0.129752i
\(355\) 22.4792 + 14.4465i 1.19307 + 0.766741i
\(356\) 0.436761 3.03774i 0.0231483 0.161000i
\(357\) 0.233546 1.62435i 0.0123605 0.0859695i
\(358\) −14.2416 9.15254i −0.752694 0.483727i
\(359\) 8.13187 + 9.38468i 0.429184 + 0.495305i 0.928613 0.371050i \(-0.121002\pi\)
−0.499429 + 0.866355i \(0.666457\pi\)
\(360\) 4.43305 + 9.70703i 0.233642 + 0.511606i
\(361\) −14.6946 + 9.44362i −0.773398 + 0.497033i
\(362\) −20.7249 6.08537i −1.08927 0.319840i
\(363\) 2.12664 2.45428i 0.111620 0.128816i
\(364\) −2.45115 + 0.719723i −0.128475 + 0.0377237i
\(365\) 3.66437 8.02384i 0.191802 0.419987i
\(366\) 0.560654 + 3.89943i 0.0293058 + 0.203827i
\(367\) −35.1509 −1.83486 −0.917432 0.397894i \(-0.869741\pi\)
−0.917432 + 0.397894i \(0.869741\pi\)
\(368\) −3.84221 2.87010i −0.200289 0.149614i
\(369\) 0.633871 0.0329980
\(370\) −4.17810 29.0593i −0.217209 1.51072i
\(371\) 4.30798 9.43316i 0.223659 0.489745i
\(372\) −3.02268 + 0.887540i −0.156719 + 0.0460168i
\(373\) 6.22461 7.18359i 0.322298 0.371952i −0.571360 0.820699i \(-0.693584\pi\)
0.893659 + 0.448747i \(0.148130\pi\)
\(374\) −15.3529 4.50803i −0.793881 0.233104i
\(375\) 6.26893 4.02879i 0.323726 0.208046i
\(376\) 0.100044 + 0.219066i 0.00515938 + 0.0112975i
\(377\) −8.96063 10.3411i −0.461496 0.532594i
\(378\) −2.14809 1.38050i −0.110486 0.0710050i
\(379\) −4.81172 + 33.4663i −0.247162 + 1.71905i 0.367302 + 0.930102i \(0.380282\pi\)
−0.614463 + 0.788945i \(0.710627\pi\)
\(380\) 0.669875 4.65908i 0.0343639 0.239006i
\(381\) −1.18488 0.761474i −0.0607031 0.0390115i
\(382\) −4.69138 5.41414i −0.240032 0.277012i
\(383\) 4.08289 + 8.94028i 0.208626 + 0.456827i 0.984800 0.173692i \(-0.0555696\pi\)
−0.776174 + 0.630518i \(0.782842\pi\)
\(384\) −0.369938 + 0.237745i −0.0188783 + 0.0121324i
\(385\) 15.6426 + 4.59308i 0.797220 + 0.234085i
\(386\) 0.845872 0.976188i 0.0430537 0.0496867i
\(387\) −25.8179 + 7.58083i −1.31240 + 0.385355i
\(388\) −5.69273 + 12.4653i −0.289005 + 0.632832i
\(389\) 3.58228 + 24.9153i 0.181629 + 1.26326i 0.852912 + 0.522055i \(0.174834\pi\)
−0.671283 + 0.741201i \(0.734256\pi\)
\(390\) −4.27137 −0.216289
\(391\) −1.29507 17.8502i −0.0654944 0.902723i
\(392\) 1.00000 0.0505076
\(393\) −0.588921 4.09603i −0.0297071 0.206618i
\(394\) 8.34169 18.2658i 0.420248 0.920216i
\(395\) 19.7120 5.78797i 0.991819 0.291224i
\(396\) −7.88067 + 9.09478i −0.396019 + 0.457030i
\(397\) −19.1924 5.63539i −0.963239 0.282832i −0.237950 0.971277i \(-0.576475\pi\)
−0.725289 + 0.688445i \(0.758294\pi\)
\(398\) −9.49888 + 6.10456i −0.476136 + 0.305994i
\(399\) 0.226147 + 0.495194i 0.0113215 + 0.0247907i
\(400\) −6.19291 7.14700i −0.309646 0.357350i
\(401\) −17.9661 11.5461i −0.897184 0.576585i 0.00877009 0.999962i \(-0.497208\pi\)
−0.905954 + 0.423377i \(0.860845\pi\)
\(402\) −0.807839 + 5.61864i −0.0402913 + 0.280232i
\(403\) −2.60452 + 18.1148i −0.129740 + 0.902363i
\(404\) 8.24195 + 5.29678i 0.410052 + 0.263525i
\(405\) 18.1690 + 20.9681i 0.902823 + 1.04191i
\(406\) 2.22507 + 4.87222i 0.110428 + 0.241804i
\(407\) 27.8515 17.8991i 1.38055 0.887224i
\(408\) −1.57458 0.462337i −0.0779531 0.0228891i
\(409\) 23.0332 26.5817i 1.13892 1.31438i 0.196288 0.980546i \(-0.437111\pi\)
0.942631 0.333836i \(-0.108343\pi\)
\(410\) −0.823939 + 0.241930i −0.0406915 + 0.0119481i
\(411\) 2.63124 5.76161i 0.129789 0.284199i
\(412\) 1.70033 + 11.8260i 0.0837691 + 0.582627i
\(413\) −7.34574 −0.361460
\(414\) −12.6162 4.69089i −0.620055 0.230544i
\(415\) −9.61527 −0.471995
\(416\) 0.363562 + 2.52863i 0.0178251 + 0.123976i
\(417\) −2.70764 + 5.92891i −0.132594 + 0.290340i
\(418\) 5.09306 1.49546i 0.249110 0.0731452i
\(419\) 3.08597 3.56140i 0.150760 0.173986i −0.675346 0.737501i \(-0.736006\pi\)
0.826106 + 0.563515i \(0.190551\pi\)
\(420\) 1.60428 + 0.471060i 0.0782810 + 0.0229854i
\(421\) 27.8440 17.8942i 1.35703 0.872111i 0.358910 0.933372i \(-0.383148\pi\)
0.998122 + 0.0612607i \(0.0195121\pi\)
\(422\) 5.50017 + 12.0437i 0.267744 + 0.586277i
\(423\) 0.442631 + 0.510824i 0.0215215 + 0.0248371i
\(424\) −8.72405 5.60661i −0.423678 0.272281i
\(425\) 5.02245 34.9319i 0.243624 1.69444i
\(426\) −0.439815 + 3.05898i −0.0213091 + 0.148208i
\(427\) −7.53649 4.84341i −0.364716 0.234389i
\(428\) −11.3942 13.1496i −0.550761 0.635612i
\(429\) −2.00098 4.38154i −0.0966084 0.211543i
\(430\) 30.6661 19.7079i 1.47885 0.950401i
\(431\) 18.1549 + 5.33076i 0.874490 + 0.256774i 0.688024 0.725688i \(-0.258478\pi\)
0.186466 + 0.982461i \(0.440296\pi\)
\(432\) −1.67215 + 1.92976i −0.0804513 + 0.0928458i
\(433\) −30.6863 + 9.01032i −1.47469 + 0.433008i −0.917621 0.397457i \(-0.869893\pi\)
−0.557070 + 0.830466i \(0.688075\pi\)
\(434\) 2.97598 6.51650i 0.142852 0.312802i
\(435\) 1.27453 + 8.86456i 0.0611091 + 0.425023i
\(436\) 16.9084 0.809766
\(437\) 3.56281 + 4.74920i 0.170432 + 0.227185i
\(438\) 1.02019 0.0487467
\(439\) 4.02758 + 28.0124i 0.192226 + 1.33696i 0.826100 + 0.563523i \(0.190555\pi\)
−0.633874 + 0.773436i \(0.718536\pi\)
\(440\) 6.77250 14.8297i 0.322866 0.706979i
\(441\) 2.69293 0.790717i 0.128235 0.0376532i
\(442\) −6.24304 + 7.20486i −0.296951 + 0.342700i
\(443\) −2.58577 0.759250i −0.122854 0.0360731i 0.219728 0.975561i \(-0.429483\pi\)
−0.342581 + 0.939488i \(0.611301\pi\)
\(444\) 2.85641 1.83571i 0.135559 0.0871187i
\(445\) 4.84744 + 10.6144i 0.229791 + 0.503172i
\(446\) 1.57198 + 1.81417i 0.0744356 + 0.0859032i
\(447\) 5.63419 + 3.62087i 0.266488 + 0.171261i
\(448\) 0.142315 0.989821i 0.00672374 0.0467647i
\(449\) −1.00346 + 6.97920i −0.0473561 + 0.329369i 0.952347 + 0.305016i \(0.0986617\pi\)
−0.999703 + 0.0243531i \(0.992247\pi\)
\(450\) −22.3284 14.3496i −1.05257 0.676445i
\(451\) −0.634156 0.731855i −0.0298612 0.0344617i
\(452\) −0.667787 1.46225i −0.0314101 0.0687784i
\(453\) −0.0420761 + 0.0270406i −0.00197691 + 0.00127048i
\(454\) 16.3148 + 4.79047i 0.765694 + 0.224828i
\(455\) 6.36083 7.34079i 0.298200 0.344142i
\(456\) 0.522337 0.153372i 0.0244607 0.00718231i
\(457\) −12.4276 + 27.2127i −0.581341 + 1.27296i 0.359195 + 0.933263i \(0.383051\pi\)
−0.940535 + 0.339696i \(0.889676\pi\)
\(458\) −2.61742 18.2046i −0.122304 0.850644i
\(459\) −9.52895 −0.444774
\(460\) 18.1896 + 1.28221i 0.848097 + 0.0597831i
\(461\) −2.09849 −0.0977366 −0.0488683 0.998805i \(-0.515561\pi\)
−0.0488683 + 0.998805i \(0.515561\pi\)
\(462\) 0.268339 + 1.86634i 0.0124842 + 0.0868298i
\(463\) 13.5838 29.7444i 0.631293 1.38234i −0.275720 0.961238i \(-0.588916\pi\)
0.907014 0.421102i \(-0.138356\pi\)
\(464\) 5.13929 1.50903i 0.238585 0.0700550i
\(465\) 7.84398 9.05244i 0.363756 0.419797i
\(466\) 6.35763 + 1.86677i 0.294512 + 0.0864764i
\(467\) −23.4194 + 15.0507i −1.08372 + 0.696466i −0.955414 0.295269i \(-0.904591\pi\)
−0.128307 + 0.991734i \(0.540954\pi\)
\(468\) 2.97848 + 6.52196i 0.137680 + 0.301478i
\(469\) −8.45320 9.75551i −0.390332 0.450468i
\(470\) −0.770323 0.495056i −0.0355323 0.0228352i
\(471\) 1.47371 10.2499i 0.0679050 0.472290i
\(472\) −1.04541 + 7.27097i −0.0481188 + 0.334674i
\(473\) 34.5822 + 22.2246i 1.59009 + 1.02189i
\(474\) 1.55598 + 1.79570i 0.0714686 + 0.0824791i
\(475\) 4.86334 + 10.6492i 0.223146 + 0.488620i
\(476\) 3.13940 2.01757i 0.143894 0.0924750i
\(477\) −27.9266 8.19998i −1.27867 0.375451i
\(478\) 5.32188 6.14178i 0.243417 0.280919i
\(479\) 41.1636 12.0867i 1.88081 0.552257i 0.884494 0.466552i \(-0.154504\pi\)
0.996321 0.0857044i \(-0.0273141\pi\)
\(480\) 0.694579 1.52092i 0.0317030 0.0694200i
\(481\) −2.80718 19.5244i −0.127996 0.890234i
\(482\) 23.2179 1.05754
\(483\) −1.84994 + 1.01261i −0.0841754 + 0.0460753i
\(484\) 7.38487 0.335676
\(485\) −7.41524 51.5742i −0.336709 2.34186i
\(486\) −4.51521 + 9.88694i −0.204814 + 0.448481i
\(487\) −4.79761 + 1.40871i −0.217401 + 0.0638346i −0.388619 0.921399i \(-0.627048\pi\)
0.171219 + 0.985233i \(0.445230\pi\)
\(488\) −5.86666 + 6.77049i −0.265571 + 0.306486i
\(489\) −2.77915 0.816033i −0.125678 0.0369023i
\(490\) −3.19863 + 2.05563i −0.144499 + 0.0928640i
\(491\) −14.6997 32.1878i −0.663387 1.45261i −0.879332 0.476209i \(-0.842011\pi\)
0.215945 0.976405i \(-0.430717\pi\)
\(492\) −0.0650382 0.0750580i −0.00293215 0.00338388i
\(493\) 16.8154 + 10.8066i 0.757327 + 0.486705i
\(494\) 0.450075 3.13034i 0.0202498 0.140841i
\(495\) 6.51180 45.2906i 0.292684 2.03566i
\(496\) −6.02664 3.87309i −0.270604 0.173907i
\(497\) −4.60221 5.31123i −0.206437 0.238241i
\(498\) −0.461966 1.01156i −0.0207012 0.0453292i
\(499\) 28.5547 18.3510i 1.27828 0.821502i 0.287607 0.957748i \(-0.407140\pi\)
0.990675 + 0.136247i \(0.0435039\pi\)
\(500\) 16.2594 + 4.77420i 0.727144 + 0.213509i
\(501\) 4.82181 5.56467i 0.215423 0.248611i
\(502\) −6.16989 + 1.81164i −0.275376 + 0.0808576i
\(503\) 0.393231 0.861055i 0.0175333 0.0383926i −0.900663 0.434519i \(-0.856918\pi\)
0.918196 + 0.396126i \(0.129646\pi\)
\(504\) −0.399424 2.77806i −0.0177918 0.123744i
\(505\) −37.2512 −1.65765
\(506\) 7.20591 + 19.2595i 0.320342 + 0.856188i
\(507\) 2.84686 0.126433
\(508\) −0.455821 3.17030i −0.0202238 0.140659i
\(509\) 2.32687 5.09514i 0.103137 0.225838i −0.851028 0.525121i \(-0.824020\pi\)
0.954164 + 0.299283i \(0.0967473\pi\)
\(510\) 5.98687 1.75790i 0.265103 0.0778413i
\(511\) −1.51925 + 1.75331i −0.0672076 + 0.0775617i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 2.65925 1.70900i 0.117409 0.0754541i
\(514\) −6.88188 15.0692i −0.303547 0.664675i
\(515\) −29.7487 34.3318i −1.31088 1.51284i
\(516\) 3.54670 + 2.27933i 0.156135 + 0.100342i
\(517\) 0.146957 1.02211i 0.00646315 0.0449522i
\(518\) −1.09886 + 7.64273i −0.0482811 + 0.335802i
\(519\) −3.34438 2.14931i −0.146802 0.0943440i
\(520\) −6.36083 7.34079i −0.278941 0.321915i
\(521\) −3.50020 7.66438i −0.153347 0.335782i 0.817331 0.576169i \(-0.195453\pi\)
−0.970677 + 0.240387i \(0.922726\pi\)
\(522\) 12.6466 8.12744i 0.553524 0.355729i
\(523\) −27.5626 8.09310i −1.20523 0.353886i −0.383377 0.923592i \(-0.625239\pi\)
−0.821849 + 0.569705i \(0.807057\pi\)
\(524\) 6.16245 7.11184i 0.269208 0.310682i
\(525\) −3.99016 + 1.17162i −0.174145 + 0.0511335i
\(526\) −5.95308 + 13.0354i −0.259567 + 0.568371i
\(527\) −3.80468 26.4621i −0.165734 1.15271i
\(528\) 1.88553 0.0820570
\(529\) −17.3513 + 15.0974i −0.754405 + 0.656409i
\(530\) 39.4301 1.71274
\(531\) 2.93407 + 20.4069i 0.127328 + 0.885583i
\(532\) −0.514267 + 1.12609i −0.0222963 + 0.0488221i
\(533\) −0.553588 + 0.162548i −0.0239786 + 0.00704074i
\(534\) −0.883782 + 1.01994i −0.0382450 + 0.0441371i
\(535\) 63.4767 + 18.6384i 2.74434 + 0.805810i
\(536\) −10.8592 + 6.97880i −0.469047 + 0.301438i
\(537\) 3.09256 + 6.77175i 0.133454 + 0.292223i
\(538\) 1.60506 + 1.85234i 0.0691992 + 0.0798601i
\(539\) −3.60709 2.31814i −0.155368 0.0998492i
\(540\) 1.38170 9.60992i 0.0594588 0.413545i
\(541\) −1.34749 + 9.37198i −0.0579330 + 0.402933i 0.940135 + 0.340802i \(0.110699\pi\)
−0.998068 + 0.0621308i \(0.980210\pi\)
\(542\) −16.4611 10.5789i −0.707063 0.454402i
\(543\) 6.22016 + 7.17844i 0.266933 + 0.308057i
\(544\) −1.55025 3.39457i −0.0664663 0.145541i
\(545\) −54.0837 + 34.7575i −2.31669 + 1.48885i
\(546\) 1.07789 + 0.316496i 0.0461292 + 0.0135448i
\(547\) 15.8839 18.3309i 0.679145 0.783775i −0.306633 0.951828i \(-0.599203\pi\)
0.985778 + 0.168053i \(0.0537480\pi\)
\(548\) 13.8203 4.05801i 0.590374 0.173349i
\(549\) −10.4450 + 22.8713i −0.445782 + 0.976125i
\(550\) 5.77067 + 40.1359i 0.246062 + 1.71140i
\(551\) −6.63083 −0.282483
\(552\) 0.739028 + 1.97522i 0.0314551 + 0.0840711i
\(553\) −5.40322 −0.229768
\(554\) 1.72784 + 12.0174i 0.0734089 + 0.510570i
\(555\) −5.36306 + 11.7435i −0.227649 + 0.498483i
\(556\) −14.2216 + 4.17584i −0.603131 + 0.177095i
\(557\) −2.88607 + 3.33071i −0.122287 + 0.141127i −0.813592 0.581437i \(-0.802491\pi\)
0.691305 + 0.722563i \(0.257036\pi\)
\(558\) −19.2919 5.66460i −0.816690 0.239802i
\(559\) 20.6040 13.2414i 0.871455 0.560050i
\(560\) 1.57950 + 3.45862i 0.0667459 + 0.146153i
\(561\) 4.60788 + 5.31777i 0.194545 + 0.224517i
\(562\) 7.22317 + 4.64205i 0.304691 + 0.195813i
\(563\) −0.451143 + 3.13777i −0.0190134 + 0.132241i −0.997117 0.0758764i \(-0.975825\pi\)
0.978104 + 0.208117i \(0.0667336\pi\)
\(564\) 0.0150717 0.104826i 0.000634632 0.00441396i
\(565\) 5.14185 + 3.30447i 0.216319 + 0.139020i
\(566\) −0.690106 0.796425i −0.0290073 0.0334762i
\(567\) −3.03128 6.63759i −0.127302 0.278752i
\(568\) −5.91214 + 3.79950i −0.248068 + 0.159423i
\(569\) −7.90865 2.32219i −0.331548 0.0973512i 0.111722 0.993740i \(-0.464363\pi\)
−0.443270 + 0.896388i \(0.646182\pi\)
\(570\) −1.35549 + 1.56431i −0.0567750 + 0.0655219i
\(571\) −0.221343 + 0.0649922i −0.00926292 + 0.00271984i −0.286361 0.958122i \(-0.592446\pi\)
0.277098 + 0.960842i \(0.410627\pi\)
\(572\) 4.55031 9.96378i 0.190258 0.416607i
\(573\) 0.448337 + 3.11825i 0.0187296 + 0.130267i
\(574\) 0.225848 0.00942672
\(575\) −39.7834 + 21.7764i −1.65908 + 0.908138i
\(576\) −2.80662 −0.116943
\(577\) 0.747804 + 5.20109i 0.0311315 + 0.216524i 0.999449 0.0331989i \(-0.0105695\pi\)
−0.968317 + 0.249723i \(0.919660\pi\)
\(578\) −1.27683 + 2.79587i −0.0531091 + 0.116293i
\(579\) −0.545004 + 0.160028i −0.0226496 + 0.00665053i
\(580\) −13.3366 + 15.3913i −0.553774 + 0.639090i
\(581\) 2.42642 + 0.712462i 0.100665 + 0.0295579i
\(582\) 5.06953 3.25799i 0.210139 0.135048i
\(583\) 18.4716 + 40.4471i 0.765014 + 1.67515i
\(584\) 1.51925 + 1.75331i 0.0628670 + 0.0725524i
\(585\) −22.9338 14.7387i −0.948196 0.609368i
\(586\) 4.58949 31.9206i 0.189590 1.31863i
\(587\) 2.47005 17.1796i 0.101950 0.709078i −0.873173 0.487411i \(-0.837941\pi\)
0.975123 0.221667i \(-0.0711496\pi\)
\(588\) −0.369938 0.237745i −0.0152560 0.00980444i
\(589\) 5.80770 + 6.70244i 0.239302 + 0.276169i
\(590\) −11.6026 25.4061i −0.477671 1.04595i
\(591\) −7.42851 + 4.77401i −0.305568 + 0.196377i
\(592\) 7.40855 + 2.17535i 0.304490 + 0.0894062i
\(593\) −14.7402 + 17.0111i −0.605306 + 0.698561i −0.972848 0.231446i \(-0.925654\pi\)
0.367541 + 0.930007i \(0.380200\pi\)
\(594\) 10.5051 3.08456i 0.431028 0.126561i
\(595\) −5.89438 + 12.9069i −0.241646 + 0.529131i
\(596\) 2.16746 + 15.0750i 0.0887828 + 0.617498i
\(597\) 4.96533 0.203217
\(598\) 12.2213 + 0.861488i 0.499764 + 0.0352289i
\(599\) 21.4950 0.878260 0.439130 0.898424i \(-0.355287\pi\)
0.439130 + 0.898424i \(0.355287\pi\)
\(600\) 0.591832 + 4.11628i 0.0241615 + 0.168047i
\(601\) −3.90022 + 8.54028i −0.159093 + 0.348365i −0.972346 0.233545i \(-0.924967\pi\)
0.813253 + 0.581911i \(0.197695\pi\)
\(602\) −9.19893 + 2.70105i −0.374920 + 0.110087i
\(603\) −23.7249 + 27.3800i −0.966154 + 1.11500i
\(604\) −0.109131 0.0320437i −0.00444047 0.00130384i
\(605\) −23.6214 + 15.1806i −0.960348 + 0.617178i
\(606\) −1.78973 3.91896i −0.0727029 0.159197i
\(607\) −25.2888 29.1848i −1.02644 1.18458i −0.982638 0.185535i \(-0.940598\pi\)
−0.0438027 0.999040i \(-0.513947\pi\)
\(608\) 1.04144 + 0.669292i 0.0422359 + 0.0271434i
\(609\) 0.335208 2.33142i 0.0135833 0.0944739i
\(610\) 4.84762 33.7160i 0.196275 1.36512i
\(611\) −0.517564 0.332618i −0.0209384 0.0134563i
\(612\) −6.85886 7.91555i −0.277253 0.319967i
\(613\) −11.0494 24.1948i −0.446281 0.977220i −0.990403 0.138213i \(-0.955864\pi\)
0.544121 0.839007i \(-0.316863\pi\)
\(614\) −0.967423 + 0.621725i −0.0390420 + 0.0250908i
\(615\) 0.362325 + 0.106388i 0.0146103 + 0.00428998i
\(616\) −2.80788 + 3.24047i −0.113133 + 0.130562i
\(617\) 2.98626 0.876846i 0.120222 0.0353005i −0.221068 0.975258i \(-0.570954\pi\)
0.341290 + 0.939958i \(0.389136\pi\)
\(618\) 2.18256 4.77915i 0.0877956 0.192246i
\(619\) 1.87839 + 13.0645i 0.0754989 + 0.525106i 0.992114 + 0.125336i \(0.0400009\pi\)
−0.916615 + 0.399770i \(0.869090\pi\)
\(620\) 27.2386 1.09393
\(621\) 7.34873 + 9.79580i 0.294894 + 0.393092i
\(622\) −16.0801 −0.644754
\(623\) −0.436761 3.03774i −0.0174985 0.121704i
\(624\) 0.466673 1.02187i 0.0186819 0.0409076i
\(625\) −16.4530 + 4.83104i −0.658120 + 0.193242i
\(626\) −19.2512 + 22.2171i −0.769433 + 0.887973i
\(627\) −2.23966 0.657622i −0.0894433 0.0262629i
\(628\) 19.8101 12.7312i 0.790509 0.508029i
\(629\) 11.9700 + 26.2106i 0.477274 + 1.04508i
\(630\) 6.98827 + 8.06489i 0.278419 + 0.321313i
\(631\) −7.79426 5.00907i −0.310285 0.199408i 0.376225 0.926528i \(-0.377222\pi\)
−0.686510 + 0.727120i \(0.740858\pi\)
\(632\) −0.768958 + 5.34822i −0.0305875 + 0.212741i
\(633\) 0.828603 5.76306i 0.0329340 0.229061i
\(634\) −18.8717 12.1281i −0.749490 0.481668i
\(635\) 7.97498 + 9.20362i 0.316477 + 0.365234i
\(636\) 1.89442 + 4.14820i 0.0751186 + 0.164487i
\(637\) −2.14909 + 1.38114i −0.0851502 + 0.0547227i
\(638\) −22.0360 6.47036i −0.872415 0.256164i
\(639\) −12.9167 + 14.9066i −0.510975 + 0.589697i
\(640\) 3.64820 1.07121i 0.144208 0.0423432i
\(641\) 4.85712 10.6356i 0.191845 0.420081i −0.789128 0.614229i \(-0.789467\pi\)
0.980972 + 0.194148i \(0.0621943\pi\)
\(642\) 1.08890 + 7.57347i 0.0429755 + 0.298901i
\(643\) 35.1178 1.38491 0.692456 0.721460i \(-0.256529\pi\)
0.692456 + 0.721460i \(0.256529\pi\)
\(644\) −4.49517 1.67136i −0.177134 0.0658609i
\(645\) −16.0300 −0.631183
\(646\) 0.657470 + 4.57281i 0.0258678 + 0.179915i
\(647\) 7.35869 16.1133i 0.289300 0.633478i −0.708056 0.706157i \(-0.750427\pi\)
0.997355 + 0.0726783i \(0.0231546\pi\)
\(648\) −7.00142 + 2.05580i −0.275042 + 0.0807596i
\(649\) 20.6260 23.8037i 0.809641 0.934376i
\(650\) 23.1801 + 6.80630i 0.909200 + 0.266965i
\(651\) −2.65020 + 1.70318i −0.103869 + 0.0667528i
\(652\) −2.73622 5.99148i −0.107159 0.234644i
\(653\) −2.26079 2.60909i −0.0884717 0.102102i 0.709788 0.704416i \(-0.248791\pi\)
−0.798259 + 0.602314i \(0.794245\pi\)
\(654\) −6.25507 4.01989i −0.244593 0.157190i
\(655\) −5.09203 + 35.4158i −0.198962 + 1.38381i
\(656\) 0.0321416 0.223549i 0.00125492 0.00872814i
\(657\) 5.47761 + 3.52025i 0.213702 + 0.137338i
\(658\) 0.157710 + 0.182007i 0.00614816 + 0.00709535i
\(659\) −5.49015 12.0218i −0.213866 0.468301i 0.772046 0.635567i \(-0.219234\pi\)
−0.985912 + 0.167266i \(0.946506\pi\)
\(660\) −6.03110 + 3.87595i −0.234760 + 0.150871i
\(661\) −36.0372 10.5815i −1.40168 0.411571i −0.508421 0.861108i \(-0.669771\pi\)
−0.893262 + 0.449537i \(0.851589\pi\)
\(662\) 0.529583 0.611171i 0.0205828 0.0237538i
\(663\) 4.02246 1.18110i 0.156219 0.0458702i
\(664\) 1.05053 2.30033i 0.0407683 0.0892702i
\(665\) −0.669875 4.65908i −0.0259766 0.180671i
\(666\) 21.6708 0.839728
\(667\) −1.85881 25.6203i −0.0719734 0.992024i
\(668\) 16.7440 0.647844
\(669\) −0.150228 1.04486i −0.00580816 0.0403967i
\(670\) 20.3888 44.6452i 0.787687 1.72479i
\(671\) 36.8565 10.8220i 1.42283 0.417780i
\(672\) −0.287973 + 0.332338i −0.0111088 + 0.0128202i
\(673\) 29.3857 + 8.62842i 1.13274 + 0.332601i 0.793782 0.608202i \(-0.208109\pi\)
0.338953 + 0.940803i \(0.389927\pi\)
\(674\) −10.5423 + 6.77512i −0.406074 + 0.260968i
\(675\) 10.0312 + 21.9653i 0.386102 + 0.845446i
\(676\) 4.23948 + 4.89262i 0.163057 + 0.188178i
\(677\) 40.4539 + 25.9981i 1.55477 + 0.999190i 0.984018 + 0.178067i \(0.0569844\pi\)
0.570751 + 0.821123i \(0.306652\pi\)
\(678\) −0.100602 + 0.699705i −0.00386361 + 0.0268720i
\(679\) −1.95024 + 13.5642i −0.0748435 + 0.520548i
\(680\) 11.9367 + 7.67122i 0.457750 + 0.294178i
\(681\) −4.89658 5.65095i −0.187637 0.216545i
\(682\) 12.7603 + 27.9412i 0.488617 + 1.06992i
\(683\) −9.93674 + 6.38596i −0.380219 + 0.244352i −0.716765 0.697315i \(-0.754378\pi\)
0.336546 + 0.941667i \(0.390741\pi\)
\(684\) 3.33375 + 0.978876i 0.127469 + 0.0374283i
\(685\) −35.8642 + 41.3895i −1.37030 + 1.58141i
\(686\) 0.959493 0.281733i 0.0366336 0.0107566i
\(687\) −3.35976 + 7.35685i −0.128183 + 0.280681i
\(688\) 1.36441 + 9.48970i 0.0520178 + 0.361791i
\(689\) 26.4923 1.00928
\(690\) −6.42421 4.79883i −0.244566 0.182689i
\(691\) −31.7389 −1.20740 −0.603702 0.797210i \(-0.706308\pi\)
−0.603702 + 0.797210i \(0.706308\pi\)
\(692\) −1.28658 8.94836i −0.0489084 0.340166i
\(693\) −4.99915 + 10.9466i −0.189902 + 0.415828i
\(694\) 12.6880 3.72553i 0.481630 0.141419i
\(695\) 36.9056 42.5914i 1.39991 1.61558i
\(696\) −2.25998 0.663591i −0.0856645 0.0251534i
\(697\) 0.709027 0.455664i 0.0268563 0.0172595i
\(698\) 5.92875 + 12.9822i 0.224406 + 0.491382i
\(699\) −1.90812 2.20209i −0.0721717 0.0832905i
\(700\) −7.95560 5.11275i −0.300693 0.193244i
\(701\) 4.79036 33.3177i 0.180929 1.25839i −0.673643 0.739057i \(-0.735271\pi\)
0.854572 0.519333i \(-0.173820\pi\)
\(702\) 0.928335 6.45671i 0.0350377 0.243693i
\(703\) −8.04128 5.16782i −0.303283 0.194908i
\(704\) 2.80788 + 3.24047i 0.105826 + 0.122130i
\(705\) 0.167275 + 0.366281i 0.00629993 + 0.0137949i
\(706\) −24.5831 + 15.7986i −0.925196 + 0.594588i
\(707\) 9.40037 + 2.76020i 0.353537 + 0.103808i
\(708\) 2.11537 2.44127i 0.0795006 0.0917486i
\(709\) −7.45871 + 2.19007i −0.280118 + 0.0822499i −0.418774 0.908091i \(-0.637540\pi\)
0.138656 + 0.990341i \(0.455722\pi\)
\(710\) 11.1003 24.3064i 0.416588 0.912201i
\(711\) 2.15818 + 15.0104i 0.0809379 + 0.562936i
\(712\) −3.06898 −0.115015
\(713\) −24.2690 + 24.3188i −0.908881 + 0.910746i
\(714\) −1.64105 −0.0614147
\(715\) 5.92714 + 41.2242i 0.221663 + 1.54170i
\(716\) −7.03259 + 15.3992i −0.262820 + 0.575496i
\(717\) −3.42895 + 1.00683i −0.128056 + 0.0376007i
\(718\) 8.13187 9.38468i 0.303479 0.350233i
\(719\) −5.27753 1.54962i −0.196818 0.0577911i 0.181838 0.983329i \(-0.441795\pi\)
−0.378656 + 0.925537i \(0.623614\pi\)
\(720\) 8.97734 5.76939i 0.334566 0.215012i
\(721\) 4.96323 + 10.8680i 0.184840 + 0.404744i
\(722\) 11.4387 + 13.2010i 0.425706 + 0.491291i
\(723\) −8.58918 5.51993i −0.319435 0.205288i
\(724\) −3.07397 + 21.3800i −0.114243 + 0.794580i
\(725\) 7.20871 50.1376i 0.267725 1.86207i
\(726\) −2.73195 1.75572i −0.101392 0.0651607i
\(727\) −8.00871 9.24254i −0.297027 0.342787i 0.587545 0.809192i \(-0.300095\pi\)
−0.884572 + 0.466405i \(0.845549\pi\)
\(728\) 1.06123 + 2.32377i 0.0393319 + 0.0861248i
\(729\) −14.3950 + 9.25108i −0.533147 + 0.342633i
\(730\) −8.46367 2.48516i −0.313254 0.0919798i
\(731\) −23.4295 + 27.0391i −0.866573 + 1.00008i
\(732\) 3.77995 1.10989i 0.139711 0.0410229i
\(733\) −13.5041 + 29.5698i −0.498784 + 1.09218i 0.478078 + 0.878317i \(0.341333\pi\)
−0.976863 + 0.213868i \(0.931394\pi\)
\(734\) 5.00250 + 34.7931i 0.184646 + 1.28424i
\(735\) 1.67201 0.0616731
\(736\) −2.29408 + 4.21155i −0.0845609 + 0.155240i
\(737\) 55.3481 2.03877
\(738\) −0.0902092 0.627419i −0.00332065 0.0230956i
\(739\) 14.5375 31.8327i 0.534771 1.17098i −0.428768 0.903415i \(-0.641052\pi\)
0.963539 0.267570i \(-0.0862205\pi\)
\(740\) −28.1689 + 8.27114i −1.03551 + 0.304053i
\(741\) −0.910724 + 1.05103i −0.0334563 + 0.0386106i
\(742\) −9.95023 2.92165i −0.365285 0.107257i
\(743\) −16.7227 + 10.7470i −0.613497 + 0.394271i −0.810167 0.586199i \(-0.800624\pi\)
0.196670 + 0.980470i \(0.436987\pi\)
\(744\) 1.30868 + 2.86561i 0.0479785 + 0.105058i
\(745\) −37.9217 43.7639i −1.38934 1.60339i
\(746\) −7.99632 5.13893i −0.292766 0.188149i
\(747\) 1.01009 7.02531i 0.0369572 0.257043i
\(748\) −2.27719 + 15.8382i −0.0832624 + 0.579102i
\(749\) −14.6374 9.40686i −0.534837 0.343719i
\(750\) −4.87995 5.63176i −0.178190 0.205643i
\(751\) −1.26369 2.76710i −0.0461127 0.100973i 0.885174 0.465261i \(-0.154040\pi\)
−0.931286 + 0.364288i \(0.881312\pi\)
\(752\) 0.202598 0.130202i 0.00738800 0.00474798i
\(753\) 2.71319 + 0.796664i 0.0988741 + 0.0290320i
\(754\) −8.96063 + 10.3411i −0.326327 + 0.376601i
\(755\) 0.414939 0.121837i 0.0151012 0.00443410i
\(756\) −1.06074 + 2.32269i −0.0385787 + 0.0844755i
\(757\) −5.28968 36.7905i −0.192257 1.33717i −0.826017 0.563645i \(-0.809399\pi\)
0.633761 0.773529i \(-0.281510\pi\)
\(758\) 33.8104 1.22805
\(759\) 1.91310 8.83798i 0.0694410 0.320799i
\(760\) −4.70699 −0.170741
\(761\) 4.23404 + 29.4484i 0.153484 + 1.06750i 0.910322 + 0.413901i \(0.135834\pi\)
−0.756838 + 0.653603i \(0.773257\pi\)
\(762\) −0.585098 + 1.28119i −0.0211959 + 0.0464125i
\(763\) 16.2235 4.76365i 0.587330 0.172456i
\(764\) −4.69138 + 5.41414i −0.169728 + 0.195877i
\(765\) 38.2104 + 11.2196i 1.38150 + 0.405645i
\(766\) 8.26822 5.31366i 0.298743 0.191991i
\(767\) −7.79554 17.0698i −0.281481 0.616357i
\(768\) 0.287973 + 0.332338i 0.0103913 + 0.0119922i
\(769\) 1.30834 + 0.840821i 0.0471801 + 0.0303208i 0.564018 0.825762i \(-0.309255\pi\)
−0.516838 + 0.856083i \(0.672891\pi\)
\(770\) 2.32016 16.1370i 0.0836126 0.581538i
\(771\) −1.03676 + 7.21081i −0.0373380 + 0.259691i
\(772\) −1.08663 0.698336i −0.0391087 0.0251337i
\(773\) 15.8280 + 18.2665i 0.569293 + 0.656999i 0.965268 0.261262i \(-0.0841388\pi\)
−0.395975 + 0.918261i \(0.629593\pi\)