Properties

Label 43.2.g.a.10.2
Level $43$
Weight $2$
Character 43.10
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.2
Character \(\chi\) \(=\) 43.10
Dual form 43.2.g.a.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.188565 + 0.826155i) q^{2} +(-0.0129300 - 0.0119973i) q^{3} +(1.15496 - 0.556200i) q^{4} +(-3.39819 + 0.512194i) q^{5} +(0.00747346 - 0.0129444i) q^{6} +(-0.134521 - 0.232998i) q^{7} +(1.73398 + 2.17435i) q^{8} +(-0.224167 - 2.99130i) q^{9} +O(q^{10})\) \(q+(0.188565 + 0.826155i) q^{2} +(-0.0129300 - 0.0119973i) q^{3} +(1.15496 - 0.556200i) q^{4} +(-3.39819 + 0.512194i) q^{5} +(0.00747346 - 0.0129444i) q^{6} +(-0.134521 - 0.232998i) q^{7} +(1.73398 + 2.17435i) q^{8} +(-0.224167 - 2.99130i) q^{9} +(-1.06393 - 2.71085i) q^{10} +(-2.96782 - 1.42923i) q^{11} +(-0.0216065 - 0.00666472i) q^{12} +(-0.736485 + 1.87653i) q^{13} +(0.167127 - 0.155071i) q^{14} +(0.0500834 + 0.0341463i) q^{15} +(0.129136 - 0.161931i) q^{16} +(6.37398 + 0.960723i) q^{17} +(2.42901 - 0.749250i) q^{18} +(-0.449267 + 5.99506i) q^{19} +(-3.63989 + 2.48164i) q^{20} +(-0.00105598 + 0.00462655i) q^{21} +(0.621139 - 2.72139i) q^{22} +(-1.83546 + 1.25139i) q^{23} +(0.00366585 - 0.0489173i) q^{24} +(6.50747 - 2.00729i) q^{25} +(-1.68918 - 0.254603i) q^{26} +(-0.0659813 + 0.0827379i) q^{27} +(-0.284961 - 0.194283i) q^{28} +(1.75989 - 1.63294i) q^{29} +(-0.0187662 + 0.0478154i) q^{30} +(-4.93996 - 1.52378i) q^{31} +(5.16949 + 2.48950i) q^{32} +(0.0212271 + 0.0540856i) q^{33} +(0.408200 + 5.44706i) q^{34} +(0.576470 + 0.722870i) q^{35} +(-1.92267 - 3.33016i) q^{36} +(2.63757 - 4.56841i) q^{37} +(-5.03756 + 0.759291i) q^{38} +(0.0320360 - 0.0154277i) q^{39} +(-7.00609 - 6.50071i) q^{40} +(-0.643386 - 2.81886i) q^{41} -0.00402137 q^{42} +(-4.01778 - 5.18242i) q^{43} -4.22266 q^{44} +(2.29389 + 10.0502i) q^{45} +(-1.37995 - 1.28040i) q^{46} +(-5.31835 + 2.56118i) q^{47} +(-0.00361245 + 0.000544488i) q^{48} +(3.46381 - 5.99949i) q^{49} +(2.88541 + 4.99768i) q^{50} +(-0.0708893 - 0.0888924i) q^{51} +(0.193116 + 2.57696i) q^{52} +(2.34453 + 5.97377i) q^{53} +(-0.0807961 - 0.0389094i) q^{54} +(10.8173 + 3.33669i) q^{55} +(0.273361 - 0.696512i) q^{56} +(0.0777333 - 0.0721259i) q^{57} +(1.68091 + 1.14603i) q^{58} +(8.36244 - 10.4862i) q^{59} +(0.0768366 + 0.0115813i) q^{60} +(-9.50158 + 2.93085i) q^{61} +(0.327374 - 4.36851i) q^{62} +(-0.666812 + 0.454625i) q^{63} +(-0.989752 + 4.33638i) q^{64} +(1.54156 - 6.75403i) q^{65} +(-0.0406805 + 0.0277355i) q^{66} +(-0.950106 + 12.6783i) q^{67} +(7.89606 - 2.43561i) q^{68} +(0.0387457 + 0.00583998i) q^{69} +(-0.488501 + 0.612561i) q^{70} +(-4.98725 - 3.40025i) q^{71} +(6.11543 - 5.67429i) q^{72} +(0.609746 - 1.55361i) q^{73} +(4.27157 + 1.31761i) q^{74} +(-0.108223 - 0.0521176i) q^{75} +(2.81557 + 7.17394i) q^{76} +(0.0662286 + 0.883759i) q^{77} +(0.0187865 + 0.0235576i) q^{78} +(6.97172 + 12.0754i) q^{79} +(-0.355887 + 0.616414i) q^{80} +(-8.89671 + 1.34096i) q^{81} +(2.20750 - 1.06307i) q^{82} +(-5.60384 - 5.19960i) q^{83} +(0.00135367 + 0.00593082i) q^{84} -22.1521 q^{85} +(3.52387 - 4.29653i) q^{86} -0.0423461 q^{87} +(-2.03852 - 8.93135i) q^{88} +(-1.32654 - 1.23085i) q^{89} +(-7.87047 + 3.79022i) q^{90} +(0.536302 - 0.0808345i) q^{91} +(-1.42386 + 2.46619i) q^{92} +(0.0455924 + 0.0789684i) q^{93} +(-3.11879 - 3.91084i) q^{94} +(-1.54394 - 20.6024i) q^{95} +(-0.0369742 - 0.0942088i) q^{96} +(2.36508 + 1.13896i) q^{97} +(5.60966 + 1.73035i) q^{98} +(-3.60997 + 9.19804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.188565 + 0.826155i 0.133335 + 0.584180i 0.996812 + 0.0797907i \(0.0254252\pi\)
−0.863476 + 0.504389i \(0.831718\pi\)
\(3\) −0.0129300 0.0119973i −0.00746512 0.00692662i 0.676431 0.736506i \(-0.263526\pi\)
−0.683896 + 0.729579i \(0.739716\pi\)
\(4\) 1.15496 0.556200i 0.577481 0.278100i
\(5\) −3.39819 + 0.512194i −1.51972 + 0.229060i −0.855233 0.518243i \(-0.826586\pi\)
−0.664483 + 0.747304i \(0.731348\pi\)
\(6\) 0.00747346 0.0129444i 0.00305103 0.00528454i
\(7\) −0.134521 0.232998i −0.0508443 0.0880650i 0.839483 0.543386i \(-0.182858\pi\)
−0.890327 + 0.455321i \(0.849525\pi\)
\(8\) 1.73398 + 2.17435i 0.613056 + 0.768748i
\(9\) −0.224167 2.99130i −0.0747223 0.997100i
\(10\) −1.06393 2.71085i −0.336444 0.857246i
\(11\) −2.96782 1.42923i −0.894833 0.430929i −0.0708129 0.997490i \(-0.522559\pi\)
−0.824020 + 0.566561i \(0.808274\pi\)
\(12\) −0.0216065 0.00666472i −0.00623726 0.00192394i
\(13\) −0.736485 + 1.87653i −0.204264 + 0.520457i −0.995892 0.0905467i \(-0.971139\pi\)
0.791628 + 0.611003i \(0.209234\pi\)
\(14\) 0.167127 0.155071i 0.0446665 0.0414444i
\(15\) 0.0500834 + 0.0341463i 0.0129315 + 0.00881653i
\(16\) 0.129136 0.161931i 0.0322839 0.0404827i
\(17\) 6.37398 + 0.960723i 1.54592 + 0.233010i 0.865911 0.500197i \(-0.166739\pi\)
0.680006 + 0.733207i \(0.261977\pi\)
\(18\) 2.42901 0.749250i 0.572523 0.176600i
\(19\) −0.449267 + 5.99506i −0.103069 + 1.37536i 0.670623 + 0.741798i \(0.266027\pi\)
−0.773692 + 0.633562i \(0.781592\pi\)
\(20\) −3.63989 + 2.48164i −0.813905 + 0.554911i
\(21\) −0.00105598 + 0.00462655i −0.000230434 + 0.00100960i
\(22\) 0.621139 2.72139i 0.132427 0.580201i
\(23\) −1.83546 + 1.25139i −0.382719 + 0.260934i −0.739363 0.673307i \(-0.764873\pi\)
0.356644 + 0.934240i \(0.383921\pi\)
\(24\) 0.00366585 0.0489173i 0.000748288 0.00998521i
\(25\) 6.50747 2.00729i 1.30149 0.401458i
\(26\) −1.68918 0.254603i −0.331276 0.0499318i
\(27\) −0.0659813 + 0.0827379i −0.0126981 + 0.0159229i
\(28\) −0.284961 0.194283i −0.0538525 0.0367160i
\(29\) 1.75989 1.63294i 0.326803 0.303229i −0.499658 0.866223i \(-0.666541\pi\)
0.826461 + 0.562994i \(0.190351\pi\)
\(30\) −0.0187662 + 0.0478154i −0.00342622 + 0.00872986i
\(31\) −4.93996 1.52378i −0.887243 0.273678i −0.182555 0.983196i \(-0.558437\pi\)
−0.704688 + 0.709517i \(0.748913\pi\)
\(32\) 5.16949 + 2.48950i 0.913846 + 0.440085i
\(33\) 0.0212271 + 0.0540856i 0.00369516 + 0.00941510i
\(34\) 0.408200 + 5.44706i 0.0700058 + 0.934162i
\(35\) 0.576470 + 0.722870i 0.0974411 + 0.122187i
\(36\) −1.92267 3.33016i −0.320444 0.555026i
\(37\) 2.63757 4.56841i 0.433615 0.751042i −0.563567 0.826070i \(-0.690571\pi\)
0.997181 + 0.0750281i \(0.0239046\pi\)
\(38\) −5.03756 + 0.759291i −0.817201 + 0.123173i
\(39\) 0.0320360 0.0154277i 0.00512986 0.00247041i
\(40\) −7.00609 6.50071i −1.10776 1.02785i
\(41\) −0.643386 2.81886i −0.100480 0.440232i −0.999994 0.00334069i \(-0.998937\pi\)
0.899514 0.436891i \(-0.143921\pi\)
\(42\) −0.00402137 −0.000620510
\(43\) −4.01778 5.18242i −0.612705 0.790311i
\(44\) −4.22266 −0.636590
\(45\) 2.29389 + 10.0502i 0.341953 + 1.49819i
\(46\) −1.37995 1.28040i −0.203462 0.188785i
\(47\) −5.31835 + 2.56118i −0.775761 + 0.373587i −0.779497 0.626406i \(-0.784525\pi\)
0.00373559 + 0.999993i \(0.498811\pi\)
\(48\) −0.00361245 0.000544488i −0.000521412 7.85901e-5i
\(49\) 3.46381 5.99949i 0.494830 0.857070i
\(50\) 2.88541 + 4.99768i 0.408059 + 0.706778i
\(51\) −0.0708893 0.0888924i −0.00992649 0.0124474i
\(52\) 0.193116 + 2.57696i 0.0267804 + 0.357360i
\(53\) 2.34453 + 5.97377i 0.322046 + 0.820561i 0.996604 + 0.0823389i \(0.0262390\pi\)
−0.674558 + 0.738222i \(0.735666\pi\)
\(54\) −0.0807961 0.0389094i −0.0109950 0.00529489i
\(55\) 10.8173 + 3.33669i 1.45860 + 0.449919i
\(56\) 0.273361 0.696512i 0.0365294 0.0930753i
\(57\) 0.0777333 0.0721259i 0.0102960 0.00955331i
\(58\) 1.68091 + 1.14603i 0.220715 + 0.150481i
\(59\) 8.36244 10.4862i 1.08870 1.36518i 0.163128 0.986605i \(-0.447842\pi\)
0.925569 0.378578i \(-0.123587\pi\)
\(60\) 0.0768366 + 0.0115813i 0.00991956 + 0.00149513i
\(61\) −9.50158 + 2.93085i −1.21655 + 0.375257i −0.835600 0.549338i \(-0.814880\pi\)
−0.380952 + 0.924595i \(0.624404\pi\)
\(62\) 0.327374 4.36851i 0.0415766 0.554801i
\(63\) −0.666812 + 0.454625i −0.0840104 + 0.0572773i
\(64\) −0.989752 + 4.33638i −0.123719 + 0.542048i
\(65\) 1.54156 6.75403i 0.191208 0.837735i
\(66\) −0.0406805 + 0.0277355i −0.00500742 + 0.00341400i
\(67\) −0.950106 + 12.6783i −0.116074 + 1.54890i 0.570169 + 0.821527i \(0.306878\pi\)
−0.686243 + 0.727372i \(0.740741\pi\)
\(68\) 7.89606 2.43561i 0.957538 0.295361i
\(69\) 0.0387457 + 0.00583998i 0.00466443 + 0.000703050i
\(70\) −0.488501 + 0.612561i −0.0583870 + 0.0732150i
\(71\) −4.98725 3.40025i −0.591877 0.403535i 0.230007 0.973189i \(-0.426125\pi\)
−0.821885 + 0.569654i \(0.807077\pi\)
\(72\) 6.11543 5.67429i 0.720710 0.668721i
\(73\) 0.609746 1.55361i 0.0713654 0.181836i −0.890740 0.454512i \(-0.849814\pi\)
0.962106 + 0.272676i \(0.0879088\pi\)
\(74\) 4.27157 + 1.31761i 0.496560 + 0.153168i
\(75\) −0.108223 0.0521176i −0.0124966 0.00601803i
\(76\) 2.81557 + 7.17394i 0.322968 + 0.822908i
\(77\) 0.0662286 + 0.883759i 0.00754745 + 0.100714i
\(78\) 0.0187865 + 0.0235576i 0.00212716 + 0.00266737i
\(79\) 6.97172 + 12.0754i 0.784380 + 1.35859i 0.929369 + 0.369153i \(0.120352\pi\)
−0.144989 + 0.989433i \(0.546315\pi\)
\(80\) −0.355887 + 0.616414i −0.0397893 + 0.0689172i
\(81\) −8.89671 + 1.34096i −0.988523 + 0.148996i
\(82\) 2.20750 1.06307i 0.243777 0.117397i
\(83\) −5.60384 5.19960i −0.615101 0.570731i 0.309864 0.950781i \(-0.399716\pi\)
−0.924966 + 0.380050i \(0.875907\pi\)
\(84\) 0.00135367 + 0.00593082i 0.000147698 + 0.000647106i
\(85\) −22.1521 −2.40273
\(86\) 3.52387 4.29653i 0.379989 0.463307i
\(87\) −0.0423461 −0.00453998
\(88\) −2.03852 8.93135i −0.217307 0.952085i
\(89\) −1.32654 1.23085i −0.140613 0.130470i 0.606730 0.794908i \(-0.292481\pi\)
−0.747344 + 0.664437i \(0.768671\pi\)
\(90\) −7.87047 + 3.79022i −0.829620 + 0.399524i
\(91\) 0.536302 0.0808345i 0.0562197 0.00847375i
\(92\) −1.42386 + 2.46619i −0.148447 + 0.257118i
\(93\) 0.0455924 + 0.0789684i 0.00472771 + 0.00818864i
\(94\) −3.11879 3.91084i −0.321678 0.403372i
\(95\) −1.54394 20.6024i −0.158405 2.11377i
\(96\) −0.0369742 0.0942088i −0.00377367 0.00961515i
\(97\) 2.36508 + 1.13896i 0.240138 + 0.115644i 0.550082 0.835110i \(-0.314596\pi\)
−0.309945 + 0.950755i \(0.600311\pi\)
\(98\) 5.60966 + 1.73035i 0.566662 + 0.174792i
\(99\) −3.60997 + 9.19804i −0.362815 + 0.924438i
\(100\) 6.39943 5.93780i 0.639943 0.593780i
\(101\) 7.32150 + 4.99172i 0.728517 + 0.496694i 0.869880 0.493264i \(-0.164196\pi\)
−0.141363 + 0.989958i \(0.545149\pi\)
\(102\) 0.0600717 0.0753275i 0.00594799 0.00745854i
\(103\) −0.748654 0.112841i −0.0737671 0.0111186i 0.112055 0.993702i \(-0.464257\pi\)
−0.185822 + 0.982583i \(0.559495\pi\)
\(104\) −5.35729 + 1.65251i −0.525326 + 0.162041i
\(105\) 0.00121872 0.0162627i 0.000118935 0.00158708i
\(106\) −4.49317 + 3.06339i −0.436415 + 0.297543i
\(107\) 0.737592 3.23160i 0.0713057 0.312411i −0.926680 0.375852i \(-0.877350\pi\)
0.997986 + 0.0634408i \(0.0202074\pi\)
\(108\) −0.0301870 + 0.132258i −0.00290475 + 0.0127265i
\(109\) 8.34007 5.68616i 0.798833 0.544635i −0.0937085 0.995600i \(-0.529872\pi\)
0.892542 + 0.450964i \(0.148920\pi\)
\(110\) −0.716867 + 9.56592i −0.0683506 + 0.912075i
\(111\) −0.0889122 + 0.0274258i −0.00843917 + 0.00260314i
\(112\) −0.0551011 0.00830515i −0.00520656 0.000784763i
\(113\) −3.49529 + 4.38295i −0.328809 + 0.412313i −0.918566 0.395267i \(-0.870652\pi\)
0.589757 + 0.807581i \(0.299223\pi\)
\(114\) 0.0742450 + 0.0506194i 0.00695368 + 0.00474094i
\(115\) 5.59627 5.19258i 0.521855 0.484211i
\(116\) 1.12436 2.86483i 0.104394 0.265993i
\(117\) 5.77837 + 1.78239i 0.534211 + 0.164782i
\(118\) 10.2401 + 4.93135i 0.942674 + 0.453968i
\(119\) −0.633591 1.61436i −0.0580812 0.147988i
\(120\) 0.0125979 + 0.168108i 0.00115003 + 0.0153461i
\(121\) −0.0931005 0.116744i −0.00846368 0.0106131i
\(122\) −4.21300 7.29713i −0.381427 0.660651i
\(123\) −0.0254996 + 0.0441666i −0.00229922 + 0.00398237i
\(124\) −6.55299 + 0.987705i −0.588476 + 0.0886985i
\(125\) −5.60427 + 2.69887i −0.501261 + 0.241395i
\(126\) −0.501328 0.465164i −0.0446618 0.0414401i
\(127\) 2.06730 + 9.05743i 0.183443 + 0.803717i 0.979975 + 0.199121i \(0.0638086\pi\)
−0.796532 + 0.604597i \(0.793334\pi\)
\(128\) 7.70625 0.681142
\(129\) −0.0102251 + 0.115211i −0.000900267 + 0.0101437i
\(130\) 5.87057 0.514883
\(131\) 1.20701 + 5.28827i 0.105457 + 0.462039i 0.999890 + 0.0148359i \(0.00472260\pi\)
−0.894433 + 0.447203i \(0.852420\pi\)
\(132\) 0.0545989 + 0.0506604i 0.00475222 + 0.00440942i
\(133\) 1.45727 0.701786i 0.126362 0.0608525i
\(134\) −10.6534 + 1.60574i −0.920313 + 0.138715i
\(135\) 0.181839 0.314954i 0.0156502 0.0271069i
\(136\) 8.96344 + 15.5251i 0.768609 + 1.33127i
\(137\) 6.88665 + 8.63559i 0.588366 + 0.737788i 0.983514 0.180829i \(-0.0578782\pi\)
−0.395148 + 0.918617i \(0.629307\pi\)
\(138\) 0.00248134 + 0.0331112i 0.000211226 + 0.00281861i
\(139\) −2.80876 7.15661i −0.238236 0.607016i 0.760887 0.648884i \(-0.224764\pi\)
−0.999123 + 0.0418687i \(0.986669\pi\)
\(140\) 1.06786 + 0.514255i 0.0902507 + 0.0434624i
\(141\) 0.0994933 + 0.0306896i 0.00837885 + 0.00258453i
\(142\) 1.86871 4.76141i 0.156819 0.399568i
\(143\) 4.86775 4.51662i 0.407062 0.377698i
\(144\) −0.513332 0.349984i −0.0427777 0.0291653i
\(145\) −5.14405 + 6.45043i −0.427190 + 0.535679i
\(146\) 1.39850 + 0.210790i 0.115741 + 0.0174451i
\(147\) −0.116764 + 0.0360170i −0.00963056 + 0.00297064i
\(148\) 0.505345 6.74336i 0.0415391 0.554301i
\(149\) −0.776822 + 0.529628i −0.0636397 + 0.0433888i −0.594722 0.803931i \(-0.702738\pi\)
0.531082 + 0.847320i \(0.321785\pi\)
\(150\) 0.0226502 0.0992369i 0.00184938 0.00810266i
\(151\) 2.44733 10.7224i 0.199161 0.872579i −0.772277 0.635285i \(-0.780882\pi\)
0.971438 0.237294i \(-0.0762604\pi\)
\(152\) −13.8144 + 9.41847i −1.12049 + 0.763939i
\(153\) 1.44498 19.2819i 0.116819 1.55885i
\(154\) −0.717634 + 0.221361i −0.0578286 + 0.0178378i
\(155\) 17.5674 + 2.64786i 1.41105 + 0.212681i
\(156\) 0.0284194 0.0356368i 0.00227538 0.00285323i
\(157\) −15.8917 10.8348i −1.26829 0.864708i −0.273038 0.962003i \(-0.588029\pi\)
−0.995256 + 0.0972949i \(0.968981\pi\)
\(158\) −8.66152 + 8.03671i −0.689073 + 0.639366i
\(159\) 0.0413542 0.105369i 0.00327960 0.00835628i
\(160\) −18.8420 5.81199i −1.48959 0.459478i
\(161\) 0.538481 + 0.259319i 0.0424382 + 0.0204372i
\(162\) −2.78545 7.09720i −0.218845 0.557609i
\(163\) 1.43404 + 19.1360i 0.112323 + 1.49884i 0.714023 + 0.700122i \(0.246871\pi\)
−0.601700 + 0.798722i \(0.705510\pi\)
\(164\) −2.31094 2.89782i −0.180454 0.226282i
\(165\) −0.0998359 0.172921i −0.00777221 0.0134619i
\(166\) 3.23899 5.61010i 0.251395 0.435429i
\(167\) 6.00399 0.904956i 0.464603 0.0700276i 0.0874302 0.996171i \(-0.472135\pi\)
0.377172 + 0.926143i \(0.376896\pi\)
\(168\) −0.0118908 + 0.00572630i −0.000917393 + 0.000441793i
\(169\) 6.55071 + 6.07817i 0.503901 + 0.467551i
\(170\) −4.17709 18.3010i −0.320368 1.40363i
\(171\) 18.0337 1.37907
\(172\) −7.52284 3.75081i −0.573611 0.285996i
\(173\) −11.0260 −0.838294 −0.419147 0.907918i \(-0.637671\pi\)
−0.419147 + 0.907918i \(0.637671\pi\)
\(174\) −0.00798497 0.0349844i −0.000605339 0.00265216i
\(175\) −1.34309 1.24620i −0.101528 0.0942042i
\(176\) −0.614688 + 0.296018i −0.0463338 + 0.0223132i
\(177\) −0.233931 + 0.0352595i −0.0175834 + 0.00265027i
\(178\) 0.766737 1.32803i 0.0574694 0.0995398i
\(179\) −4.06679 7.04389i −0.303966 0.526485i 0.673064 0.739584i \(-0.264978\pi\)
−0.977031 + 0.213099i \(0.931644\pi\)
\(180\) 8.23927 + 10.3317i 0.614119 + 0.770081i
\(181\) 0.451827 + 6.02922i 0.0335841 + 0.448148i 0.988495 + 0.151255i \(0.0483315\pi\)
−0.954911 + 0.296893i \(0.904049\pi\)
\(182\) 0.167909 + 0.427826i 0.0124463 + 0.0317126i
\(183\) 0.158017 + 0.0760971i 0.0116810 + 0.00562526i
\(184\) −5.90362 1.82103i −0.435221 0.134248i
\(185\) −6.62306 + 16.8753i −0.486937 + 1.24069i
\(186\) −0.0566430 + 0.0525571i −0.00415327 + 0.00385367i
\(187\) −17.5438 11.9611i −1.28293 0.874685i
\(188\) −4.71796 + 5.91614i −0.344093 + 0.431479i
\(189\) 0.0281537 + 0.00424348i 0.00204788 + 0.000308668i
\(190\) 16.7297 5.16042i 1.21370 0.374376i
\(191\) −1.15304 + 15.3862i −0.0834307 + 1.11331i 0.785662 + 0.618656i \(0.212323\pi\)
−0.869093 + 0.494649i \(0.835297\pi\)
\(192\) 0.0648222 0.0441950i 0.00467814 0.00318950i
\(193\) 0.542270 2.37584i 0.0390335 0.171017i −0.951654 0.307172i \(-0.900617\pi\)
0.990688 + 0.136155i \(0.0434745\pi\)
\(194\) −0.494990 + 2.16869i −0.0355382 + 0.155703i
\(195\) −0.100962 + 0.0688349i −0.00723006 + 0.00492937i
\(196\) 0.663647 8.85575i 0.0474034 0.632554i
\(197\) −2.38077 + 0.734371i −0.169623 + 0.0523218i −0.378403 0.925641i \(-0.623527\pi\)
0.208780 + 0.977963i \(0.433051\pi\)
\(198\) −8.27972 1.24797i −0.588414 0.0886892i
\(199\) 5.15076 6.45884i 0.365127 0.457855i −0.565001 0.825090i \(-0.691124\pi\)
0.930128 + 0.367235i \(0.119696\pi\)
\(200\) 15.6484 + 10.6689i 1.10651 + 0.754405i
\(201\) 0.164390 0.152531i 0.0115951 0.0107587i
\(202\) −2.74336 + 6.98996i −0.193022 + 0.491812i
\(203\) −0.617214 0.190385i −0.0433199 0.0133624i
\(204\) −0.131316 0.0632387i −0.00919399 0.00442759i
\(205\) 3.63015 + 9.24947i 0.253541 + 0.646011i
\(206\) −0.0479451 0.639782i −0.00334049 0.0445757i
\(207\) 4.15474 + 5.20988i 0.288775 + 0.362112i
\(208\) 0.208762 + 0.361587i 0.0144751 + 0.0250715i
\(209\) 9.90166 17.1502i 0.684912 1.18630i
\(210\) 0.0136654 0.00205972i 0.000942999 0.000142134i
\(211\) 12.8995 6.21209i 0.888041 0.427658i 0.0664862 0.997787i \(-0.478821\pi\)
0.821555 + 0.570129i \(0.193107\pi\)
\(212\) 6.03046 + 5.59545i 0.414174 + 0.384297i
\(213\) 0.0236913 + 0.103798i 0.00162330 + 0.00711215i
\(214\) 2.80889 0.192012
\(215\) 16.3076 + 15.5529i 1.11217 + 1.06070i
\(216\) −0.294312 −0.0200254
\(217\) 0.309494 + 1.35598i 0.0210098 + 0.0920501i
\(218\) 6.27029 + 5.81798i 0.424678 + 0.394043i
\(219\) −0.0265230 + 0.0127728i −0.00179226 + 0.000863107i
\(220\) 14.3494 2.16282i 0.967436 0.145818i
\(221\) −6.49717 + 11.2534i −0.437047 + 0.756987i
\(222\) −0.0394236 0.0682837i −0.00264594 0.00458290i
\(223\) −4.25565 5.33642i −0.284980 0.357353i 0.618651 0.785666i \(-0.287680\pi\)
−0.903631 + 0.428313i \(0.859108\pi\)
\(224\) −0.115360 1.53937i −0.00770781 0.102854i
\(225\) −7.46317 19.0158i −0.497544 1.26772i
\(226\) −4.28009 2.06118i −0.284707 0.137108i
\(227\) −22.4926 6.93804i −1.49288 0.460494i −0.562412 0.826857i \(-0.690126\pi\)
−0.930472 + 0.366364i \(0.880603\pi\)
\(228\) 0.0496625 0.126538i 0.00328898 0.00838018i
\(229\) −11.5699 + 10.7353i −0.764562 + 0.709410i −0.962642 0.270776i \(-0.912720\pi\)
0.198080 + 0.980186i \(0.436529\pi\)
\(230\) 5.34514 + 3.64425i 0.352448 + 0.240295i
\(231\) 0.00974636 0.0122215i 0.000641263 0.000804119i
\(232\) 6.60219 + 0.995121i 0.433455 + 0.0653329i
\(233\) −2.67367 + 0.824717i −0.175158 + 0.0540290i −0.381093 0.924537i \(-0.624452\pi\)
0.205936 + 0.978566i \(0.433976\pi\)
\(234\) −0.382936 + 5.10993i −0.0250333 + 0.334046i
\(235\) 16.7609 11.4274i 1.09336 0.745442i
\(236\) 3.82589 16.7623i 0.249044 1.09113i
\(237\) 0.0547273 0.239776i 0.00355492 0.0155751i
\(238\) 1.21424 0.827856i 0.0787076 0.0536619i
\(239\) 0.382464 5.10363i 0.0247396 0.330127i −0.971078 0.238763i \(-0.923258\pi\)
0.995818 0.0913641i \(-0.0291227\pi\)
\(240\) 0.0119969 0.00370055i 0.000774395 0.000238869i
\(241\) 5.77630 + 0.870636i 0.372084 + 0.0560826i 0.332423 0.943131i \(-0.392134\pi\)
0.0396614 + 0.999213i \(0.487372\pi\)
\(242\) 0.0788935 0.0989293i 0.00507147 0.00635942i
\(243\) 0.393434 + 0.268239i 0.0252388 + 0.0172075i
\(244\) −9.34382 + 8.66980i −0.598177 + 0.555027i
\(245\) −8.69776 + 22.1615i −0.555680 + 1.41585i
\(246\) −0.0412968 0.0127384i −0.00263299 0.000812170i
\(247\) −10.9190 5.25833i −0.694762 0.334580i
\(248\) −5.25260 13.3834i −0.333540 0.849847i
\(249\) 0.0100765 + 0.134461i 0.000638572 + 0.00852115i
\(250\) −3.28645 4.12108i −0.207854 0.260640i
\(251\) 4.39608 + 7.61423i 0.277478 + 0.480606i 0.970757 0.240063i \(-0.0771681\pi\)
−0.693279 + 0.720669i \(0.743835\pi\)
\(252\) −0.517280 + 0.895955i −0.0325856 + 0.0564399i
\(253\) 7.23584 1.09063i 0.454914 0.0685672i
\(254\) −7.09303 + 3.41582i −0.445056 + 0.214328i
\(255\) 0.286425 + 0.265764i 0.0179367 + 0.0166428i
\(256\) 3.43263 + 15.0393i 0.214539 + 0.939958i
\(257\) −6.02274 −0.375688 −0.187844 0.982199i \(-0.560150\pi\)
−0.187844 + 0.982199i \(0.560150\pi\)
\(258\) −0.0971101 + 0.0132772i −0.00604581 + 0.000826601i
\(259\) −1.41924 −0.0881874
\(260\) −1.97615 8.65807i −0.122556 0.536951i
\(261\) −5.27912 4.89830i −0.326769 0.303197i
\(262\) −4.14134 + 1.99436i −0.255853 + 0.123212i
\(263\) −23.8955 + 3.60167i −1.47346 + 0.222089i −0.836143 0.548512i \(-0.815195\pi\)
−0.637319 + 0.770600i \(0.719956\pi\)
\(264\) −0.0807936 + 0.139939i −0.00497251 + 0.00861263i
\(265\) −11.0269 19.0991i −0.677377 1.17325i
\(266\) 0.854574 + 1.07160i 0.0523973 + 0.0657041i
\(267\) 0.00238531 + 0.0318298i 0.000145979 + 0.00194795i
\(268\) 5.95433 + 15.1714i 0.363719 + 0.926740i
\(269\) 3.94932 + 1.90189i 0.240794 + 0.115960i 0.550389 0.834908i \(-0.314479\pi\)
−0.309595 + 0.950868i \(0.600194\pi\)
\(270\) 0.294490 + 0.0908380i 0.0179221 + 0.00552822i
\(271\) 10.3289 26.3177i 0.627437 1.59868i −0.163333 0.986571i \(-0.552225\pi\)
0.790770 0.612113i \(-0.209680\pi\)
\(272\) 0.978678 0.908081i 0.0593411 0.0550605i
\(273\) −0.00790416 0.00538896i −0.000478381 0.000326155i
\(274\) −5.83576 + 7.31781i −0.352551 + 0.442085i
\(275\) −22.1819 3.34339i −1.33762 0.201614i
\(276\) 0.0479980 0.0148054i 0.00288914 0.000891182i
\(277\) 1.72237 22.9834i 0.103487 1.38094i −0.667748 0.744387i \(-0.732742\pi\)
0.771235 0.636550i \(-0.219639\pi\)
\(278\) 5.38284 3.66996i 0.322841 0.220109i
\(279\) −3.45070 + 15.1185i −0.206588 + 0.905121i
\(280\) −0.572182 + 2.50689i −0.0341944 + 0.149815i
\(281\) 14.7612 10.0640i 0.880582 0.600371i −0.0363832 0.999338i \(-0.511584\pi\)
0.916965 + 0.398967i \(0.130631\pi\)
\(282\) −0.00659348 + 0.0879839i −0.000392636 + 0.00523936i
\(283\) −13.4802 + 4.15809i −0.801315 + 0.247173i −0.668252 0.743935i \(-0.732957\pi\)
−0.133063 + 0.991108i \(0.542481\pi\)
\(284\) −7.65130 1.15325i −0.454021 0.0684327i
\(285\) −0.227210 + 0.284912i −0.0134587 + 0.0168767i
\(286\) 4.64931 + 3.16985i 0.274920 + 0.187437i
\(287\) −0.570239 + 0.529105i −0.0336602 + 0.0312321i
\(288\) 6.28800 16.0216i 0.370524 0.944080i
\(289\) 23.4599 + 7.23642i 1.37999 + 0.425672i
\(290\) −6.29904 3.03346i −0.369893 0.178131i
\(291\) −0.0169160 0.0431012i −0.000991633 0.00252664i
\(292\) −0.159884 2.13350i −0.00935648 0.124854i
\(293\) 3.88985 + 4.87772i 0.227247 + 0.284959i 0.882363 0.470569i \(-0.155951\pi\)
−0.655115 + 0.755529i \(0.727380\pi\)
\(294\) −0.0517733 0.0896740i −0.00301948 0.00522989i
\(295\) −23.0462 + 39.9172i −1.34180 + 2.32407i
\(296\) 14.5068 2.18655i 0.843193 0.127091i
\(297\) 0.314072 0.151249i 0.0182243 0.00877637i
\(298\) −0.584036 0.541906i −0.0338323 0.0313918i
\(299\) −0.996495 4.36593i −0.0576288 0.252488i
\(300\) −0.153982 −0.00889014
\(301\) −0.667016 + 1.63328i −0.0384462 + 0.0941407i
\(302\) 9.31987 0.536298
\(303\) −0.0347799 0.152381i −0.00199805 0.00875404i
\(304\) 0.912768 + 0.846925i 0.0523509 + 0.0485745i
\(305\) 30.7870 14.8262i 1.76286 0.848947i
\(306\) 16.2023 2.44210i 0.926223 0.139606i
\(307\) −2.49936 + 4.32902i −0.142646 + 0.247070i −0.928492 0.371352i \(-0.878894\pi\)
0.785846 + 0.618422i \(0.212228\pi\)
\(308\) 0.568039 + 0.983872i 0.0323670 + 0.0560613i
\(309\) 0.00832628 + 0.0104408i 0.000473666 + 0.000593958i
\(310\) 1.12504 + 15.0127i 0.0638983 + 0.852663i
\(311\) 1.80281 + 4.59348i 0.102228 + 0.260473i 0.972832 0.231511i \(-0.0743671\pi\)
−0.870604 + 0.491984i \(0.836272\pi\)
\(312\) 0.0890951 + 0.0429060i 0.00504402 + 0.00242907i
\(313\) 8.00980 + 2.47070i 0.452741 + 0.139652i 0.512735 0.858547i \(-0.328632\pi\)
−0.0599948 + 0.998199i \(0.519108\pi\)
\(314\) 5.95459 15.1720i 0.336037 0.856208i
\(315\) 2.03310 1.88644i 0.114552 0.106289i
\(316\) 14.7684 + 10.0689i 0.830787 + 0.566421i
\(317\) 11.2630 14.1233i 0.632593 0.793246i −0.357462 0.933928i \(-0.616358\pi\)
0.990055 + 0.140681i \(0.0449293\pi\)
\(318\) 0.0948488 + 0.0142962i 0.00531886 + 0.000801689i
\(319\) −7.55688 + 2.33099i −0.423104 + 0.130510i
\(320\) 1.14229 15.2428i 0.0638559 0.852098i
\(321\) −0.0483074 + 0.0329354i −0.00269626 + 0.00183828i
\(322\) −0.112699 + 0.493767i −0.00628048 + 0.0275166i
\(323\) −8.62321 + 37.7808i −0.479808 + 2.10218i
\(324\) −9.52951 + 6.49711i −0.529417 + 0.360951i
\(325\) −1.02591 + 13.6898i −0.0569073 + 0.759375i
\(326\) −15.5389 + 4.79310i −0.860618 + 0.265466i
\(327\) −0.176055 0.0265360i −0.00973587 0.00146745i
\(328\) 5.01356 6.28681i 0.276828 0.347131i
\(329\) 1.31218 + 0.894631i 0.0723430 + 0.0493226i
\(330\) 0.124034 0.115087i 0.00682784 0.00633531i
\(331\) 0.691785 1.76264i 0.0380239 0.0968834i −0.910600 0.413288i \(-0.864380\pi\)
0.948624 + 0.316404i \(0.102476\pi\)
\(332\) −9.36424 2.88849i −0.513930 0.158526i
\(333\) −14.2568 6.86569i −0.781265 0.376238i
\(334\) 1.87977 + 4.78958i 0.102857 + 0.262074i
\(335\) −3.26511 43.5698i −0.178392 2.38047i
\(336\) 0.000612816 0 0.000768447i 3.34319e−5 0 4.19222e-5i
\(337\) −0.158818 0.275080i −0.00865135 0.0149846i 0.861667 0.507474i \(-0.169421\pi\)
−0.870319 + 0.492489i \(0.836087\pi\)
\(338\) −3.78628 + 6.55803i −0.205946 + 0.356710i
\(339\) 0.0977774 0.0147376i 0.00531054 0.000800435i
\(340\) −25.5848 + 12.3210i −1.38753 + 0.668199i
\(341\) 12.4831 + 11.5826i 0.675999 + 0.627235i
\(342\) 3.40052 + 14.8987i 0.183879 + 0.805627i
\(343\) −3.74713 −0.202326
\(344\) 4.30162 17.7223i 0.231928 0.955521i
\(345\) −0.134656 −0.00724966
\(346\) −2.07912 9.10921i −0.111774 0.489714i
\(347\) 20.3150 + 18.8496i 1.09057 + 1.01190i 0.999872 + 0.0160182i \(0.00509897\pi\)
0.0906939 + 0.995879i \(0.471092\pi\)
\(348\) −0.0489081 + 0.0235529i −0.00262175 + 0.00126257i
\(349\) 26.8636 4.04904i 1.43798 0.216740i 0.616668 0.787224i \(-0.288482\pi\)
0.821309 + 0.570484i \(0.193244\pi\)
\(350\) 0.776300 1.34459i 0.0414950 0.0718714i
\(351\) −0.106666 0.184751i −0.00569342 0.00986130i
\(352\) −11.7841 14.7768i −0.628094 0.787605i
\(353\) 1.46955 + 19.6097i 0.0782160 + 1.04372i 0.888859 + 0.458180i \(0.151499\pi\)
−0.810643 + 0.585540i \(0.800882\pi\)
\(354\) −0.0732410 0.186615i −0.00389271 0.00991847i
\(355\) 18.6892 + 9.00024i 0.991919 + 0.477683i
\(356\) −2.21671 0.683764i −0.117485 0.0362394i
\(357\) −0.0111756 + 0.0284750i −0.000591476 + 0.00150706i
\(358\) 5.05249 4.68803i 0.267033 0.247770i
\(359\) −6.52863 4.45114i −0.344568 0.234922i 0.378654 0.925538i \(-0.376387\pi\)
−0.723222 + 0.690616i \(0.757340\pi\)
\(360\) −17.8750 + 22.4146i −0.942097 + 1.18135i
\(361\) −16.9511 2.55496i −0.892162 0.134472i
\(362\) −4.89587 + 1.51018i −0.257321 + 0.0793731i
\(363\) −0.000196825 0.00262645i −1.03307e−5 0.000137853i
\(364\) 0.574448 0.391652i 0.0301092 0.0205281i
\(365\) −1.27628 + 5.59176i −0.0668037 + 0.292686i
\(366\) −0.0330716 + 0.144896i −0.00172868 + 0.00757384i
\(367\) 16.6615 11.3596i 0.869723 0.592967i −0.0441239 0.999026i \(-0.514050\pi\)
0.913847 + 0.406059i \(0.133097\pi\)
\(368\) −0.0343836 + 0.458817i −0.00179237 + 0.0239175i
\(369\) −8.28783 + 2.55646i −0.431447 + 0.133084i
\(370\) −15.1905 2.28959i −0.789715 0.119030i
\(371\) 1.07649 1.34987i 0.0558884 0.0700819i
\(372\) 0.0965797 + 0.0658470i 0.00500743 + 0.00341401i
\(373\) 5.79496 5.37693i 0.300051 0.278407i −0.515750 0.856739i \(-0.672487\pi\)
0.815801 + 0.578332i \(0.196296\pi\)
\(374\) 6.57362 16.7493i 0.339914 0.866087i
\(375\) 0.104842 + 0.0323395i 0.00541402 + 0.00167000i
\(376\) −14.7908 7.12290i −0.762780 0.367335i
\(377\) 1.76813 + 4.50512i 0.0910633 + 0.232026i
\(378\) 0.00180301 + 0.0240595i 9.27368e−5 + 0.00123749i
\(379\) −15.2679 19.1453i −0.784258 0.983428i −0.999976 0.00697248i \(-0.997781\pi\)
0.215718 0.976456i \(-0.430791\pi\)
\(380\) −13.2423 22.9363i −0.679314 1.17661i
\(381\) 0.0819343 0.141914i 0.00419762 0.00727049i
\(382\) −12.9288 + 1.94870i −0.661495 + 0.0997043i
\(383\) 24.8833 11.9832i 1.27148 0.612311i 0.328291 0.944577i \(-0.393527\pi\)
0.943186 + 0.332266i \(0.107813\pi\)
\(384\) −0.0996415 0.0924538i −0.00508481 0.00471802i
\(385\) −0.677714 2.96926i −0.0345395 0.151327i
\(386\) 2.06507 0.105109
\(387\) −14.6015 + 13.1801i −0.742237 + 0.669983i
\(388\) 3.36507 0.170836
\(389\) −6.15713 26.9761i −0.312179 1.36774i −0.850930 0.525279i \(-0.823961\pi\)
0.538751 0.842465i \(-0.318896\pi\)
\(390\) −0.0759062 0.0704307i −0.00384366 0.00356640i
\(391\) −12.9014 + 6.21299i −0.652452 + 0.314205i
\(392\) 19.0512 2.87150i 0.962230 0.145033i
\(393\) 0.0478381 0.0828581i 0.00241311 0.00417964i
\(394\) −1.05563 1.82841i −0.0531821 0.0921141i
\(395\) −29.8762 37.4635i −1.50323 1.88499i
\(396\) 0.946582 + 12.6313i 0.0475675 + 0.634744i
\(397\) 3.68917 + 9.39985i 0.185154 + 0.471765i 0.993069 0.117534i \(-0.0374990\pi\)
−0.807915 + 0.589300i \(0.799404\pi\)
\(398\) 6.30726 + 3.03742i 0.316154 + 0.152252i
\(399\) −0.0272620 0.00840921i −0.00136481 0.000420987i
\(400\) 0.515304 1.31297i 0.0257652 0.0656486i
\(401\) −24.5225 + 22.7536i −1.22460 + 1.13626i −0.238314 + 0.971188i \(0.576595\pi\)
−0.986282 + 0.165070i \(0.947215\pi\)
\(402\) 0.157012 + 0.107049i 0.00783107 + 0.00533913i
\(403\) 6.49762 8.14776i 0.323670 0.405869i
\(404\) 11.2324 + 1.69302i 0.558835 + 0.0842309i
\(405\) 29.5459 9.11369i 1.46815 0.452863i
\(406\) 0.0409031 0.545814i 0.00202999 0.0270883i
\(407\) −14.3572 + 9.78855i −0.711658 + 0.485200i
\(408\) 0.0703620 0.308276i 0.00348344 0.0152619i
\(409\) −5.20581 + 22.8081i −0.257411 + 1.12779i 0.666598 + 0.745418i \(0.267750\pi\)
−0.924008 + 0.382372i \(0.875107\pi\)
\(410\) −6.95698 + 4.74319i −0.343581 + 0.234250i
\(411\) 0.0145592 0.194279i 0.000718152 0.00958307i
\(412\) −0.927429 + 0.286074i −0.0456912 + 0.0140939i
\(413\) −3.56818 0.537817i −0.175579 0.0264643i
\(414\) −3.52074 + 4.41486i −0.173035 + 0.216979i
\(415\) 21.7061 + 14.7990i 1.06551 + 0.726453i
\(416\) −8.47887 + 7.86725i −0.415711 + 0.385723i
\(417\) −0.0495425 + 0.126232i −0.00242611 + 0.00618162i
\(418\) 16.0358 + 4.94639i 0.784337 + 0.241936i
\(419\) 16.3740 + 7.88529i 0.799921 + 0.385221i 0.788748 0.614716i \(-0.210729\pi\)
0.0111722 + 0.999938i \(0.496444\pi\)
\(420\) −0.00763776 0.0194607i −0.000372685 0.000949585i
\(421\) −2.18943 29.2159i −0.106706 1.42390i −0.751598 0.659621i \(-0.770717\pi\)
0.644892 0.764274i \(-0.276902\pi\)
\(422\) 7.56455 + 9.48565i 0.368237 + 0.461754i
\(423\) 8.85347 + 15.3347i 0.430470 + 0.745597i
\(424\) −8.92368 + 15.4563i −0.433372 + 0.750622i
\(425\) 43.4069 6.54254i 2.10555 0.317360i
\(426\) −0.0812863 + 0.0391454i −0.00393833 + 0.00189660i
\(427\) 1.96105 + 1.81959i 0.0949018 + 0.0880560i
\(428\) −0.945527 4.14263i −0.0457038 0.200241i
\(429\) −0.117127 −0.00565494
\(430\) −9.77412 + 16.4053i −0.471350 + 0.791135i
\(431\) 2.95198 0.142192 0.0710959 0.997469i \(-0.477350\pi\)
0.0710959 + 0.997469i \(0.477350\pi\)
\(432\) 0.00487729 + 0.0213688i 0.000234659 + 0.00102811i
\(433\) −24.6385 22.8611i −1.18405 1.09864i −0.993128 0.117031i \(-0.962662\pi\)
−0.190920 0.981606i \(-0.561147\pi\)
\(434\) −1.06189 + 0.511380i −0.0509725 + 0.0245470i
\(435\) 0.143900 0.0216894i 0.00689947 0.00103993i
\(436\) 6.46981 11.2060i 0.309848 0.536672i
\(437\) −6.67757 11.5659i −0.319431 0.553271i
\(438\) −0.0155536 0.0195036i −0.000743182 0.000931920i
\(439\) 1.61347 + 21.5302i 0.0770066 + 1.02758i 0.893158 + 0.449743i \(0.148484\pi\)
−0.816151 + 0.577838i \(0.803896\pi\)
\(440\) 11.5019 + 29.3063i 0.548330 + 1.39712i
\(441\) −18.7228 9.01640i −0.891560 0.429353i
\(442\) −10.5222 3.24567i −0.500491 0.154381i
\(443\) 1.29471 3.29887i 0.0615135 0.156734i −0.896812 0.442411i \(-0.854123\pi\)
0.958326 + 0.285677i \(0.0922185\pi\)
\(444\) −0.0874359 + 0.0811287i −0.00414953 + 0.00385020i
\(445\) 5.13828 + 3.50322i 0.243578 + 0.166069i
\(446\) 3.60625 4.52209i 0.170761 0.214127i
\(447\) 0.0163984 + 0.00247166i 0.000775616 + 0.000116905i
\(448\) 1.14351 0.352727i 0.0540259 0.0166648i
\(449\) −1.72113 + 22.9668i −0.0812249 + 1.08387i 0.796478 + 0.604667i \(0.206694\pi\)
−0.877703 + 0.479204i \(0.840925\pi\)
\(450\) 14.3027 9.75145i 0.674238 0.459688i
\(451\) −2.11934 + 9.28543i −0.0997957 + 0.437234i
\(452\) −1.59912 + 7.00622i −0.0752165 + 0.329545i
\(453\) −0.160284 + 0.109280i −0.00753078 + 0.00513440i
\(454\) 1.49060 19.8906i 0.0699571 0.933513i
\(455\) −1.78105 + 0.549381i −0.0834969 + 0.0257554i
\(456\) 0.291615 + 0.0439539i 0.0136561 + 0.00205833i
\(457\) −5.04145 + 6.32177i −0.235829 + 0.295720i −0.885637 0.464378i \(-0.846278\pi\)
0.649808 + 0.760098i \(0.274849\pi\)
\(458\) −11.0507 7.53425i −0.516366 0.352053i
\(459\) −0.500052 + 0.463980i −0.0233404 + 0.0216567i
\(460\) 3.57537 9.10988i 0.166702 0.424750i
\(461\) 9.39710 + 2.89862i 0.437667 + 0.135002i 0.505755 0.862677i \(-0.331214\pi\)
−0.0680886 + 0.997679i \(0.521690\pi\)
\(462\) 0.0119347 + 0.00574745i 0.000555253 + 0.000267396i
\(463\) −11.0144 28.0644i −0.511885 1.30426i −0.920210 0.391425i \(-0.871982\pi\)
0.408325 0.912837i \(-0.366113\pi\)
\(464\) −0.0371589 0.495850i −0.00172506 0.0230193i
\(465\) −0.195379 0.244997i −0.00906047 0.0113615i
\(466\) −1.18550 2.05335i −0.0549174 0.0951197i
\(467\) 12.1322 21.0135i 0.561409 0.972389i −0.435965 0.899964i \(-0.643593\pi\)
0.997374 0.0724256i \(-0.0230740\pi\)
\(468\) 7.66516 1.15534i 0.354322 0.0534055i
\(469\) 3.08183 1.48413i 0.142305 0.0685307i
\(470\) 12.6013 + 11.6923i 0.581256 + 0.539327i
\(471\) 0.0754915 + 0.330750i 0.00347846 + 0.0152401i
\(472\) 37.3009 1.71691
\(473\) 4.51720 + 21.1228i 0.207701 + 0.971229i
\(474\) 0.208412 0.00957266
\(475\) 9.11022 + 39.9145i 0.418005 + 1.83140i
\(476\) −1.62968 1.51212i −0.0746964 0.0693081i
\(477\) 17.3438 8.35233i 0.794117 0.382427i
\(478\) 4.28851 0.646389i 0.196152 0.0295652i
\(479\) 0.0305712 0.0529509i 0.00139683 0.00241939i −0.865326 0.501209i \(-0.832889\pi\)
0.866723 + 0.498790i \(0.166222\pi\)
\(480\) 0.173899 + 0.301201i 0.00793735 + 0.0137479i
\(481\) 6.63024 + 8.31406i 0.302313 + 0.379089i
\(482\) 0.369924 + 4.93629i 0.0168496 + 0.224842i
\(483\) −0.00385143 0.00981328i −0.000175246 0.000446520i
\(484\) −0.172461 0.0830527i −0.00783913 0.00377512i
\(485\) −8.62036 2.65903i −0.391430 0.120740i
\(486\) −0.147419 + 0.375618i −0.00668707 + 0.0170384i
\(487\) −17.0165 + 15.7890i −0.771093 + 0.715470i −0.964045 0.265738i \(-0.914384\pi\)
0.192952 + 0.981208i \(0.438194\pi\)
\(488\) −22.8483 15.5777i −1.03429 0.705169i
\(489\) 0.211037 0.264632i 0.00954342 0.0119671i
\(490\) −19.9490 3.00682i −0.901202 0.135834i
\(491\) −9.90993 + 3.05681i −0.447229 + 0.137952i −0.510185 0.860064i \(-0.670423\pi\)
0.0629566 + 0.998016i \(0.479947\pi\)
\(492\) −0.00488559 + 0.0651937i −0.000220259 + 0.00293916i
\(493\) 12.7863 8.71755i 0.575866 0.392619i
\(494\) 2.28526 10.0124i 0.102819 0.450477i
\(495\) 7.55616 33.1057i 0.339624 1.48799i
\(496\) −0.884671 + 0.603159i −0.0397229 + 0.0270826i
\(497\) −0.121359 + 1.61943i −0.00544370 + 0.0726412i
\(498\) −0.109186 + 0.0336794i −0.00489274 + 0.00150921i
\(499\) −11.9560 1.80208i −0.535224 0.0806720i −0.124132 0.992266i \(-0.539615\pi\)
−0.411092 + 0.911594i \(0.634853\pi\)
\(500\) −4.97160 + 6.23419i −0.222337 + 0.278802i
\(501\) −0.0884884 0.0603304i −0.00395337 0.00269536i
\(502\) −5.46159 + 5.06762i −0.243763 + 0.226179i
\(503\) −6.09669 + 15.5341i −0.271838 + 0.692632i 0.728136 + 0.685433i \(0.240387\pi\)
−0.999974 + 0.00719925i \(0.997708\pi\)
\(504\) −2.14475 0.661569i −0.0955350 0.0294686i
\(505\) −27.4366 13.2128i −1.22091 0.587960i
\(506\) 2.26545 + 5.77228i 0.100712 + 0.256609i
\(507\) −0.0117791 0.157181i −0.000523128 0.00698066i
\(508\) 7.42540 + 9.31116i 0.329449 + 0.413116i
\(509\) −16.1598 27.9896i −0.716271 1.24062i −0.962467 0.271397i \(-0.912514\pi\)
0.246197 0.969220i \(-0.420819\pi\)
\(510\) −0.165553 + 0.286746i −0.00733079 + 0.0126973i
\(511\) −0.444012 + 0.0669240i −0.0196419 + 0.00296054i
\(512\) 2.10863 1.01546i 0.0931892 0.0448776i
\(513\) −0.466375 0.432733i −0.0205910 0.0191056i
\(514\) −1.13568 4.97572i −0.0500925 0.219470i
\(515\) 2.60186 0.114652
\(516\) 0.0522707 + 0.138751i 0.00230109 + 0.00610819i
\(517\) 19.4445 0.855166
\(518\) −0.267619 1.17251i −0.0117585 0.0515173i
\(519\) 0.142566 + 0.132282i 0.00625796 + 0.00580654i
\(520\) 17.3587 8.35950i 0.761228 0.366588i
\(521\) −36.0446 + 5.43284i −1.57914 + 0.238017i −0.879295 0.476277i \(-0.841986\pi\)
−0.699845 + 0.714294i \(0.746748\pi\)
\(522\) 3.05131 5.28502i 0.133552 0.231319i
\(523\) −13.2662 22.9777i −0.580088 1.00474i −0.995468 0.0950946i \(-0.969685\pi\)
0.415380 0.909648i \(-0.363649\pi\)
\(524\) 4.33539 + 5.43641i 0.189393 + 0.237491i
\(525\) 0.00241506 + 0.0322268i 0.000105402 + 0.00140649i
\(526\) −7.48139 19.0623i −0.326204 0.831154i
\(527\) −30.0233 14.4585i −1.30784 0.629820i
\(528\) 0.0114993 + 0.00354706i 0.000500443 + 0.000154366i
\(529\) −6.59993 + 16.8163i −0.286953 + 0.731145i
\(530\) 13.6996 12.7113i 0.595071 0.552146i
\(531\) −33.2419 22.6639i −1.44257 0.983531i
\(532\) 1.29276 1.62107i 0.0560483 0.0702823i
\(533\) 5.76353 + 0.868712i 0.249646 + 0.0376281i
\(534\) −0.0258466 + 0.00797261i −0.00111849 + 0.000345009i
\(535\) −0.851268 + 11.3594i −0.0368035 + 0.491109i
\(536\) −29.2145 + 19.9181i −1.26187 + 0.860331i
\(537\) −0.0319239 + 0.139868i −0.00137762 + 0.00603573i
\(538\) −0.826556 + 3.62138i −0.0356354 + 0.156129i
\(539\) −18.8546 + 12.8549i −0.812126 + 0.553698i
\(540\) 0.0348394 0.464899i 0.00149925 0.0200061i
\(541\) −15.5995 + 4.81180i −0.670674 + 0.206875i −0.611346 0.791363i \(-0.709372\pi\)
−0.0593272 + 0.998239i \(0.518896\pi\)
\(542\) 23.6901 + 3.57071i 1.01758 + 0.153375i
\(543\) 0.0664920 0.0833783i 0.00285344 0.00357810i
\(544\) 30.5585 + 20.8344i 1.31019 + 0.893270i
\(545\) −25.4287 + 23.5944i −1.08925 + 1.01067i
\(546\) 0.00296168 0.00754623i 0.000126748 0.000322949i
\(547\) 25.6168 + 7.90174i 1.09530 + 0.337854i 0.789194 0.614144i \(-0.210499\pi\)
0.306103 + 0.951999i \(0.400975\pi\)
\(548\) 12.7569 + 6.14342i 0.544949 + 0.262434i
\(549\) 10.8970 + 27.7651i 0.465072 + 1.18498i
\(550\) −1.42057 18.9561i −0.0605732 0.808293i
\(551\) 8.99889 + 11.2843i 0.383366 + 0.480725i
\(552\) 0.0544863 + 0.0943731i 0.00231909 + 0.00401679i
\(553\) 1.87569 3.24879i 0.0797626 0.138153i
\(554\) 19.3126 2.91091i 0.820515 0.123673i
\(555\) 0.288093 0.138738i 0.0122289 0.00588911i
\(556\) −7.22452 6.70338i −0.306388 0.284286i
\(557\) −0.445481 1.95178i −0.0188756 0.0826996i 0.964613 0.263670i \(-0.0849332\pi\)
−0.983488 + 0.180971i \(0.942076\pi\)
\(558\) −13.1409 −0.556299
\(559\) 12.6840 3.72272i 0.536477 0.157454i
\(560\) 0.191498 0.00809225
\(561\) 0.0833395 + 0.365134i 0.00351860 + 0.0154160i
\(562\) 11.0979 + 10.2974i 0.468137 + 0.434368i
\(563\) 27.9871 13.4779i 1.17952 0.568025i 0.261745 0.965137i \(-0.415702\pi\)
0.917770 + 0.397112i \(0.129988\pi\)
\(564\) 0.131981 0.0198929i 0.00555738 0.000837641i
\(565\) 9.63272 16.6844i 0.405252 0.701916i
\(566\) −5.97712 10.3527i −0.251237 0.435155i
\(567\) 1.50924 + 1.89253i 0.0633821 + 0.0794787i
\(568\) −1.25449 16.7400i −0.0526372 0.702395i
\(569\) 0.695255 + 1.77148i 0.0291466 + 0.0742643i 0.944706 0.327918i \(-0.106347\pi\)
−0.915560 + 0.402182i \(0.868252\pi\)
\(570\) −0.278225 0.133986i −0.0116536 0.00561207i
\(571\) −1.82295 0.562306i −0.0762882 0.0235318i 0.256376 0.966577i \(-0.417471\pi\)
−0.332664 + 0.943045i \(0.607948\pi\)
\(572\) 3.10993 7.92396i 0.130033 0.331318i
\(573\) 0.199501 0.185110i 0.00833426 0.00773307i
\(574\) −0.544650 0.371336i −0.0227332 0.0154993i
\(575\) −9.43228 + 11.8277i −0.393353 + 0.493249i
\(576\) 13.1933 + 1.98857i 0.549721 + 0.0828571i
\(577\) 11.4249 3.52412i 0.475626 0.146711i −0.0476684 0.998863i \(-0.515179\pi\)
0.523294 + 0.852152i \(0.324703\pi\)
\(578\) −1.55470 + 20.7460i −0.0646671 + 0.862922i
\(579\) −0.0355151 + 0.0242138i −0.00147596 + 0.00100629i
\(580\) −2.35345 + 10.3111i −0.0977216 + 0.428146i
\(581\) −0.457661 + 2.00514i −0.0189870 + 0.0831873i
\(582\) 0.0324186 0.0221026i 0.00134379 0.000916182i
\(583\) 1.57973 21.0800i 0.0654256 0.873044i
\(584\) 4.43538 1.36813i 0.183537 0.0566137i
\(585\) −20.5489 3.09725i −0.849593 0.128056i
\(586\) −3.29626 + 4.13339i −0.136167 + 0.170749i
\(587\) 10.5277 + 7.17769i 0.434526 + 0.296255i 0.760759 0.649034i \(-0.224827\pi\)
−0.326233 + 0.945289i \(0.605779\pi\)
\(588\) −0.114826 + 0.106543i −0.00473533 + 0.00439375i
\(589\) 11.3545 28.9308i 0.467854 1.19207i
\(590\) −37.3235 11.5128i −1.53658 0.473973i
\(591\) 0.0395938 + 0.0190674i 0.00162867 + 0.000784326i
\(592\) −0.399162 1.01705i −0.0164055 0.0418005i
\(593\) 1.69336 + 22.5963i 0.0695380 + 0.927920i 0.917468 + 0.397811i \(0.130230\pi\)
−0.847930 + 0.530109i \(0.822151\pi\)
\(594\) 0.184178 + 0.230952i 0.00755693 + 0.00947609i
\(595\) 2.97993 + 5.16139i 0.122165 + 0.211596i
\(596\) −0.602620 + 1.04377i −0.0246843 + 0.0427544i
\(597\) −0.144088 + 0.0217177i −0.00589711 + 0.000888846i
\(598\) 3.41903 1.64652i 0.139815 0.0673312i
\(599\) 19.4871 + 18.0814i 0.796221 + 0.738785i 0.969236 0.246134i \(-0.0791605\pi\)
−0.173015 + 0.984919i \(0.555351\pi\)
\(600\) −0.0743358 0.325687i −0.00303475 0.0132961i
\(601\) 5.51022 0.224766 0.112383 0.993665i \(-0.464152\pi\)
0.112383 + 0.993665i \(0.464152\pi\)
\(602\) −1.47512 0.243080i −0.0601214 0.00990720i
\(603\) 38.1376 1.55308
\(604\) −3.13725 13.7452i −0.127653 0.559284i
\(605\) 0.376169 + 0.349034i 0.0152934 + 0.0141902i
\(606\) 0.119332 0.0574672i 0.00484753 0.00233445i
\(607\) 2.78541 0.419833i 0.113056 0.0170405i −0.0922704 0.995734i \(-0.529412\pi\)
0.205327 + 0.978693i \(0.434174\pi\)
\(608\) −17.2472 + 29.8730i −0.699465 + 1.21151i
\(609\) 0.00569646 + 0.00986655i 0.000230832 + 0.000399813i
\(610\) 18.0541 + 22.6391i 0.730989 + 0.916631i
\(611\) −0.889259 11.8663i −0.0359756 0.480061i
\(612\) −9.05568 23.0735i −0.366054 0.932691i
\(613\) 3.46419 + 1.66826i 0.139917 + 0.0673805i 0.502532 0.864558i \(-0.332402\pi\)
−0.362615 + 0.931939i \(0.618116\pi\)
\(614\) −4.04774 1.24856i −0.163353 0.0503878i
\(615\) 0.0640306 0.163147i 0.00258196 0.00657873i
\(616\) −1.80676 + 1.67643i −0.0727965 + 0.0675453i
\(617\) 33.6620 + 22.9504i 1.35518 + 0.923947i 0.999941 0.0108275i \(-0.00344656\pi\)
0.355241 + 0.934775i \(0.384399\pi\)
\(618\) −0.00705571 + 0.00884757i −0.000283822 + 0.000355902i
\(619\) 32.9850 + 4.97168i 1.32578 + 0.199829i 0.773481 0.633819i \(-0.218514\pi\)
0.552296 + 0.833648i \(0.313752\pi\)
\(620\) 21.7624 6.71281i 0.873999 0.269593i
\(621\) 0.0175681 0.234431i 0.000704985 0.00940737i
\(622\) −3.45498 + 2.35557i −0.138532 + 0.0944497i
\(623\) −0.108338 + 0.474659i −0.00434046 + 0.0190168i
\(624\) 0.00163876 0.00717988i 6.56029e−5 0.000287425i
\(625\) −10.4715 + 7.13936i −0.418861 + 0.285574i
\(626\) −0.530814 + 7.08322i −0.0212156 + 0.283102i
\(627\) −0.333783 + 0.102958i −0.0133300 + 0.00411177i
\(628\) −24.3806 3.67478i −0.972891 0.146640i
\(629\) 21.2008 26.5850i 0.845332 1.06001i
\(630\) 1.94186 + 1.32394i 0.0773656 + 0.0527469i
\(631\) 19.6700 18.2511i 0.783049 0.726563i −0.183507 0.983018i \(-0.558745\pi\)
0.966556 + 0.256455i \(0.0825545\pi\)
\(632\) −14.1672 + 36.0975i −0.563541 + 1.43588i
\(633\) −0.241319 0.0744370i −0.00959156 0.00295860i
\(634\) 13.7919 + 6.64182i 0.547746 + 0.263780i
\(635\) −11.6642 29.7200i −0.462881 1.17940i
\(636\) −0.0108436 0.144698i −0.000429977 0.00573765i
\(637\) 8.70720 + 10.9185i 0.344992 + 0.432606i
\(638\) −3.35072 5.80361i −0.132656 0.229767i
\(639\) −9.05319 + 15.6806i −0.358139 + 0.620314i
\(640\) −26.1873 + 3.94710i −1.03514 + 0.156023i
\(641\) −35.6933 + 17.1890i −1.40980 + 0.678923i −0.975123 0.221663i \(-0.928851\pi\)
−0.434676 + 0.900587i \(0.643137\pi\)
\(642\) −0.0363189 0.0336990i −0.00143339 0.00132999i
\(643\) 2.12257 + 9.29957i 0.0837059 + 0.366739i 0.999381 0.0351799i \(-0.0112004\pi\)
−0.915675 + 0.401919i \(0.868343\pi\)
\(644\) 0.766158 0.0301908
\(645\) −0.0242636 0.396745i −0.000955380 0.0156218i
\(646\) −32.8388 −1.29203
\(647\) −5.25960 23.0438i −0.206776 0.905946i −0.966696 0.255929i \(-0.917619\pi\)
0.759919 0.650017i \(-0.225238\pi\)
\(648\) −18.3425 17.0193i −0.720561 0.668583i
\(649\) −39.8054 + 19.1693i −1.56250 + 0.752460i
\(650\) −11.5034 + 1.73385i −0.451199 + 0.0680074i
\(651\) 0.0122663 0.0212459i 0.000480755 0.000832692i
\(652\) 12.2997 + 21.3037i 0.481693 + 0.834317i
\(653\) 0.844715 + 1.05924i 0.0330562 + 0.0414512i 0.798085 0.602545i \(-0.205847\pi\)
−0.765029 + 0.643996i \(0.777275\pi\)
\(654\) −0.0112749 0.150453i −0.000440882 0.00588316i
\(655\) −6.81028 17.3523i −0.266100 0.678011i
\(656\) −0.539544 0.259831i −0.0210657 0.0101447i
\(657\) −4.78399 1.47567i −0.186641 0.0575712i
\(658\) −0.491673 + 1.25276i −0.0191674 + 0.0488378i
\(659\) 11.3008 10.4856i 0.440216 0.408461i −0.428679 0.903457i \(-0.641021\pi\)
0.868895 + 0.494996i \(0.164831\pi\)
\(660\) −0.211485 0.144188i −0.00823205 0.00561252i
\(661\) −9.58249 + 12.0161i −0.372716 + 0.467371i −0.932449 0.361302i \(-0.882332\pi\)
0.559733 + 0.828673i \(0.310904\pi\)
\(662\) 1.58666 + 0.239151i 0.0616673 + 0.00929485i
\(663\) 0.219018 0.0675582i 0.00850597 0.00262374i
\(664\) 1.58878 21.2007i 0.0616565 0.822748i
\(665\) −4.59264 + 3.13121i −0.178095 + 0.121423i
\(666\) 2.98381 13.0729i 0.115620 0.506565i
\(667\) −1.18675 + 5.19950i −0.0459512 + 0.201325i
\(668\) 6.43104 4.38461i 0.248824 0.169646i
\(669\) −0.00899695 + 0.120056i −0.000347842 + 0.00464163i
\(670\) 35.3798 10.9132i 1.36684 0.421614i
\(671\) 32.3879 + 4.88169i 1.25032 + 0.188455i
\(672\) −0.0169766 + 0.0212880i −0.000654888 + 0.000821204i
\(673\) −37.4014 25.4998i −1.44172 0.982946i −0.996147 0.0876984i \(-0.972049\pi\)
−0.445570 0.895247i \(-0.646999\pi\)
\(674\) 0.197312 0.183078i 0.00760016 0.00705192i
\(675\) −0.263293 + 0.670858i −0.0101341 + 0.0258213i
\(676\) 10.9465 + 3.37655i 0.421019 + 0.129867i
\(677\) −5.42739 2.61370i −0.208592 0.100452i 0.326671 0.945138i \(-0.394073\pi\)
−0.535263 + 0.844686i \(0.679787\pi\)
\(678\) 0.0306129 + 0.0780003i 0.00117568 + 0.00299558i
\(679\) −0.0527781 0.704274i −0.00202544 0.0270276i
\(680\) −38.4113 48.1663i −1.47301 1.84709i
\(681\) 0.207591 + 0.359558i 0.00795489 + 0.0137783i
\(682\) −7.21518 + 12.4971i −0.276284 + 0.478537i
\(683\) −2.80582 + 0.422910i −0.107362 + 0.0161822i −0.202503 0.979282i \(-0.564908\pi\)
0.0951416 + 0.995464i \(0.469670\pi\)
\(684\) 20.8283 10.0304i 0.796389 0.383521i
\(685\) −27.8252 25.8180i −1.06315 0.986457i
\(686\) −0.706575 3.09571i −0.0269772 0.118195i
\(687\) 0.278393 0.0106214
\(688\) −1.35803 0.0186323i −0.0517745 0.000710349i
\(689\) −12.9367 −0.492849
\(690\) −0.0253914 0.111247i −0.000966635 0.00423510i
\(691\) 18.2969 + 16.9771i 0.696048 + 0.645839i 0.946654 0.322251i \(-0.104439\pi\)
−0.250606 + 0.968089i \(0.580630\pi\)
\(692\) −12.7346 + 6.13268i −0.484099 + 0.233130i
\(693\) 2.62874 0.396219i 0.0998577 0.0150511i
\(694\) −11.7420 + 20.3377i −0.445719 + 0.772008i
\(695\) 13.2103 + 22.8809i 0.501094 + 0.867921i
\(696\) −0.0734274 0.0920751i −0.00278326 0.00349010i
\(697\) −1.39279 18.5855i −0.0527556 0.703975i
\(698\) 8.41066 + 21.4300i 0.318348 + 0.811138i
\(699\) 0.0444648 + 0.0214131i 0.00168181 + 0.000809918i
\(700\) −2.24436 0.692292i −0.0848287 0.0261662i
\(701\) 3.98473 10.1529i 0.150501 0.383471i −0.835663 0.549243i \(-0.814916\pi\)
0.986164 + 0.165772i \(0.0530115\pi\)
\(702\) 0.132520 0.122960i 0.00500164 0.00464084i
\(703\) 26.2029 + 17.8648i 0.988262 + 0.673785i
\(704\) 9.13510 11.4550i 0.344292 0.431728i
\(705\) −0.353816 0.0533292i −0.0133255 0.00200849i
\(706\) −15.9236 + 4.91177i −0.599292 + 0.184857i
\(707\) 0.178161 2.37739i 0.00670042 0.0894109i
\(708\) −0.250570 + 0.170836i −0.00941702 + 0.00642041i
\(709\) 1.03191 4.52108i 0.0387541 0.169793i −0.951847 0.306572i \(-0.900818\pi\)
0.990602 + 0.136779i \(0.0436751\pi\)
\(710\) −3.91148 + 17.1373i −0.146795 + 0.643151i
\(711\) 34.5583 23.5614i 1.29604 0.883622i
\(712\) 0.376096 5.01865i 0.0140948 0.188082i
\(713\) 10.9739 3.38501i 0.410977 0.126770i
\(714\) −0.0256321 0.00386342i −0.000959258 0.000144585i
\(715\) −14.2282 + 17.8415i −0.532103 + 0.667236i
\(716\) −8.61480 5.87347i −0.321950 0.219502i
\(717\) −0.0661749 + 0.0614013i −0.00247135 + 0.00229307i
\(718\) 2.44627 6.23299i 0.0912939 0.232613i
\(719\) −40.4359 12.4728i −1.50801 0.465158i −0.572929 0.819605i \(-0.694193\pi\)
−0.935076 + 0.354447i \(0.884669\pi\)
\(720\) 1.92366 + 0.926385i 0.0716905 + 0.0345243i
\(721\) 0.0744182 + 0.189614i 0.00277148 + 0.00706161i
\(722\) −1.08558 14.4860i −0.0404010 0.539113i
\(723\) −0.0642421 0.0805570i −0.00238919 0.00299595i
\(724\) 3.87530 + 6.71221i 0.144024 + 0.249457i
\(725\) 8.17464 14.1589i 0.303599 0.525848i
\(726\) −0.00220697 0.000332647i −8.19084e−5 1.23457e-5i
\(727\) 2.50295 1.20536i 0.0928293 0.0447042i −0.386893 0.922125i \(-0.626452\pi\)
0.479722 + 0.877420i \(0.340737\pi\)
\(728\) 1.10570 + 1.02594i 0.0409800 + 0.0380239i
\(729\) 6.00433 + 26.3067i 0.222382 + 0.974321i
\(730\) −4.86032 −0.179889
\(731\) −20.6304 36.8926i −0.763042 1.36452i
\(732\) 0.224829 0.00830993
\(733\) 9.70495 + 42.5201i 0.358460 + 1.57052i 0.757031 + 0.653380i \(0.226649\pi\)
−0.398570 + 0.917138i \(0.630493\pi\)
\(734\) 12.5266 + 11.6230i 0.462364 + 0.429011i
\(735\) 0.378340 0.182199i 0.0139553 0.00672050i
\(736\) −12.6037 + 1.89971i −0.464579 + 0.0700241i
\(737\) 20.9399 36.2690i 0.771332 1.33599i
\(738\) −3.67482 6.36498i −0.135272 0.234298i
\(739\) −1.70413 2.13692i −0.0626876 0.0786077i 0.749499 0.662005i \(-0.230294\pi\)
−0.812187 + 0.583398i \(0.801723\pi\)
\(740\) 1.73665 + 23.1740i 0.0638407 + 0.851895i
\(741\) 0.0780973 + 0.198989i 0.00286898 + 0.00731003i
\(742\) 1.31819 + 0.634807i 0.0483923 + 0.0233045i
\(743\) 38.0996 + 11.7522i 1.39774 + 0.431145i 0.899889 0.436119i \(-0.143647\pi\)
0.497849 + 0.867264i \(0.334123\pi\)
\(744\) −0.0926482 + 0.236064i −0.00339665 + 0.00865452i
\(745\) 2.36851 2.19766i 0.0867756 0.0805160i
\(746\) 5.53490 + 3.77363i 0.202647 + 0.138163i
\(747\) −14.2974 + 17.9284i −0.523114 + 0.655964i
\(748\) −26.9152 4.05681i −0.984116 0.148332i
\(749\) −0.852179 + 0.262862i −0.0311379 + 0.00960478i
\(750\) −0.00694795 + 0.0927139i −0.000253703 + 0.00338543i
\(751\) 37.1303 25.3150i 1.35491 0.923759i 0.354967 0.934879i \(-0.384492\pi\)
0.999938 + 0.0111198i \(0.00353962\pi\)
\(752\) −0.272054 + 1.19194i −0.00992078 + 0.0434658i
\(753\) 0.0345087 0.151193i 0.00125757 0.00550977i
\(754\) −3.38852 + 2.31026i −0.123403 + 0.0841346i
\(755\) −2.82450 + 37.6903i −0.102794 + 1.37169i
\(756\) 0.0348767 0.0107580i 0.00126845 0.000391266i
\(757\) −12.7269 1.91827i −0.462566 0.0697207i −0.0863751 0.996263i \(-0.527528\pi\)
−0.376191 + 0.926542i \(0.622766\pi\)
\(758\) 12.9380 16.2238i 0.469930 0.589273i
\(759\) −0.106644 0.0727085i −0.00387092 0.00263915i
\(760\) 42.1197 39.0814i 1.52784 1.41763i
\(761\) −3.08333 + 7.85619i −0.111771 + 0.284787i −0.975804 0.218648i \(-0.929835\pi\)
0.864033 + 0.503435i \(0.167931\pi\)
\(762\) 0.132693 + 0.0409304i 0.00480696 + 0.00148275i
\(763\) −2.44678 1.17831i −0.0885795 0.0426576i
\(764\) 7.22609 + 18.4118i 0.261431 + 0.666115i
\(765\) 4.96576 + 66.2635i 0.179537 + 2.39576i
\(766\) 14.5921 + 18.2979i 0.527233 + 0.661129i
\(767\) 13.5188 + 23.4153i 0.488137 + 0.845478i
\(768\) 0.136047 0.235640i 0.00490917 0.00850293i
\(769\) −29.1469 + 4.39319i −1.05106 + 0.158422i −0.651783 0.758406i \(-0.725979\pi\)
−0.399282 + 0.916828i \(0.630740\pi\)
\(770\) 2.32528 1.11979i 0.0837971 0.0403546i