Properties

Label 441.2.bn.a.5.13
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.13
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.47430 + 1.17571i) q^{2} +(1.71213 - 0.261949i) q^{3} +(0.346209 - 1.51684i) q^{4} +(3.14585 + 2.14480i) q^{5} +(-2.21621 + 2.39916i) q^{6} +(0.361407 - 2.62095i) q^{7} +(-0.363391 - 0.754589i) q^{8} +(2.86277 - 0.896980i) q^{9} +O(q^{10})\) \(q+(-1.47430 + 1.17571i) q^{2} +(1.71213 - 0.261949i) q^{3} +(0.346209 - 1.51684i) q^{4} +(3.14585 + 2.14480i) q^{5} +(-2.21621 + 2.39916i) q^{6} +(0.361407 - 2.62095i) q^{7} +(-0.363391 - 0.754589i) q^{8} +(2.86277 - 0.896980i) q^{9} +(-7.15958 + 0.536537i) q^{10} +(0.626169 + 4.15436i) q^{11} +(0.195420 - 2.68772i) q^{12} +(0.0779578 + 0.517216i) q^{13} +(2.54866 + 4.28897i) q^{14} +(5.94792 + 2.84813i) q^{15} +(4.22647 + 2.03536i) q^{16} +(3.64219 - 3.37946i) q^{17} +(-3.16598 + 4.68820i) q^{18} +(-5.37051 - 3.10066i) q^{19} +(4.34245 - 4.02920i) q^{20} +(-0.0677794 - 4.58207i) q^{21} +(-5.80749 - 5.38856i) q^{22} +(-1.64762 - 5.34144i) q^{23} +(-0.819835 - 1.19676i) q^{24} +(3.46947 + 8.84007i) q^{25} +(-0.723031 - 0.670874i) q^{26} +(4.66646 - 2.28564i) q^{27} +(-3.85045 - 1.45560i) q^{28} +(-0.339816 - 0.366234i) q^{29} +(-12.1176 + 2.79406i) q^{30} +5.17374i q^{31} +(-6.99101 + 1.59565i) q^{32} +(2.16031 + 6.94877i) q^{33} +(-1.39640 + 9.26451i) q^{34} +(6.75835 - 7.46996i) q^{35} +(-0.369461 - 4.65291i) q^{36} +(-8.49335 - 2.61985i) q^{37} +(11.5632 - 1.74287i) q^{38} +(0.268958 + 0.865120i) q^{39} +(0.475272 - 3.15322i) q^{40} +(-0.671933 + 8.96633i) q^{41} +(5.48713 + 6.67565i) q^{42} +(-0.239749 - 3.19922i) q^{43} +(6.51829 + 0.488479i) q^{44} +(10.9297 + 3.31830i) q^{45} +(8.70908 + 5.93775i) q^{46} +(2.76737 + 3.47017i) q^{47} +(7.76942 + 2.37768i) q^{48} +(-6.73877 - 1.89446i) q^{49} +(-15.5084 - 8.95379i) q^{50} +(5.35066 - 6.74014i) q^{51} +(0.811525 + 0.0608154i) q^{52} +(3.24602 + 10.5233i) q^{53} +(-4.19249 + 8.85613i) q^{54} +(-6.94045 + 14.4120i) q^{55} +(-2.10907 + 0.679716i) q^{56} +(-10.0072 - 3.90194i) q^{57} +(0.931576 + 0.140412i) q^{58} +(5.76292 + 2.77527i) q^{59} +(6.37938 - 8.03601i) q^{60} +(-3.88646 + 0.887058i) q^{61} +(-6.08283 - 7.62763i) q^{62} +(-1.31632 - 7.82734i) q^{63} +(2.58118 - 3.23669i) q^{64} +(-0.864083 + 1.79429i) q^{65} +(-11.3547 - 7.70465i) q^{66} -10.5424 q^{67} +(-3.86515 - 6.69464i) q^{68} +(-4.22012 - 8.71364i) q^{69} +(-1.18129 + 18.9588i) q^{70} +(-15.0780 - 3.44146i) q^{71} +(-1.71715 - 1.83426i) q^{72} +(0.116249 - 0.771264i) q^{73} +(15.6019 - 6.12330i) q^{74} +(8.25583 + 14.2265i) q^{75} +(-6.56254 + 7.07274i) q^{76} +(11.1147 - 0.139742i) q^{77} +(-1.41366 - 0.959226i) q^{78} +5.63084 q^{79} +(8.93039 + 15.4679i) q^{80} +(7.39085 - 5.13569i) q^{81} +(-9.55119 - 14.0090i) q^{82} +(-10.8313 - 1.63255i) q^{83} +(-6.97375 - 1.48355i) q^{84} +(18.7061 - 2.81949i) q^{85} +(4.11483 + 4.43473i) q^{86} +(-0.677743 - 0.538026i) q^{87} +(2.90729 - 1.98216i) q^{88} +(-1.78613 - 4.55099i) q^{89} +(-20.0149 + 7.95798i) q^{90} +(1.38377 - 0.0173979i) q^{91} +(-8.67255 + 0.649917i) q^{92} +(1.35526 + 8.85811i) q^{93} +(-8.15985 - 1.86243i) q^{94} +(-10.2445 - 21.2729i) q^{95} +(-11.5515 + 4.56325i) q^{96} +(11.5129 - 6.64700i) q^{97} +(12.1623 - 5.12986i) q^{98} +(5.51895 + 11.3313i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.47430 + 1.17571i −1.04249 + 0.831354i −0.985949 0.167046i \(-0.946577\pi\)
−0.0565362 + 0.998401i \(0.518006\pi\)
\(3\) 1.71213 0.261949i 0.988498 0.151236i
\(4\) 0.346209 1.51684i 0.173105 0.758421i
\(5\) 3.14585 + 2.14480i 1.40687 + 0.959185i 0.998933 + 0.0461725i \(0.0147024\pi\)
0.407932 + 0.913012i \(0.366250\pi\)
\(6\) −2.21621 + 2.39916i −0.904763 + 0.979453i
\(7\) 0.361407 2.62095i 0.136599 0.990626i
\(8\) −0.363391 0.754589i −0.128478 0.266787i
\(9\) 2.86277 0.896980i 0.954255 0.298993i
\(10\) −7.15958 + 0.536537i −2.26406 + 0.169668i
\(11\) 0.626169 + 4.15436i 0.188797 + 1.25259i 0.859607 + 0.510957i \(0.170709\pi\)
−0.670810 + 0.741630i \(0.734053\pi\)
\(12\) 0.195420 2.68772i 0.0564128 0.775877i
\(13\) 0.0779578 + 0.517216i 0.0216216 + 0.143450i 0.997037 0.0769247i \(-0.0245101\pi\)
−0.975415 + 0.220375i \(0.929272\pi\)
\(14\) 2.54866 + 4.28897i 0.681159 + 1.14628i
\(15\) 5.94792 + 2.84813i 1.53575 + 0.735383i
\(16\) 4.22647 + 2.03536i 1.05662 + 0.508840i
\(17\) 3.64219 3.37946i 0.883362 0.819640i −0.101166 0.994870i \(-0.532257\pi\)
0.984528 + 0.175229i \(0.0560667\pi\)
\(18\) −3.16598 + 4.68820i −0.746228 + 1.10502i
\(19\) −5.37051 3.10066i −1.23208 0.711341i −0.264616 0.964354i \(-0.585245\pi\)
−0.967463 + 0.253013i \(0.918579\pi\)
\(20\) 4.34245 4.02920i 0.971001 0.900957i
\(21\) −0.0677794 4.58207i −0.0147907 0.999891i
\(22\) −5.80749 5.38856i −1.23816 1.14885i
\(23\) −1.64762 5.34144i −0.343552 1.11377i −0.948307 0.317356i \(-0.897205\pi\)
0.604755 0.796412i \(-0.293271\pi\)
\(24\) −0.819835 1.19676i −0.167348 0.244288i
\(25\) 3.46947 + 8.84007i 0.693894 + 1.76801i
\(26\) −0.723031 0.670874i −0.141798 0.131569i
\(27\) 4.66646 2.28564i 0.898060 0.439872i
\(28\) −3.85045 1.45560i −0.727666 0.275082i
\(29\) −0.339816 0.366234i −0.0631022 0.0680080i 0.700712 0.713445i \(-0.252866\pi\)
−0.763814 + 0.645437i \(0.776675\pi\)
\(30\) −12.1176 + 2.79406i −2.21236 + 0.510124i
\(31\) 5.17374i 0.929231i 0.885512 + 0.464616i \(0.153808\pi\)
−0.885512 + 0.464616i \(0.846192\pi\)
\(32\) −6.99101 + 1.59565i −1.23585 + 0.282074i
\(33\) 2.16031 + 6.94877i 0.376062 + 1.20963i
\(34\) −1.39640 + 9.26451i −0.239481 + 1.58885i
\(35\) 6.75835 7.46996i 1.14237 1.26265i
\(36\) −0.369461 4.65291i −0.0615768 0.775485i
\(37\) −8.49335 2.61985i −1.39630 0.430701i −0.496891 0.867813i \(-0.665525\pi\)
−0.899407 + 0.437112i \(0.856001\pi\)
\(38\) 11.5632 1.74287i 1.87580 0.282732i
\(39\) 0.268958 + 0.865120i 0.0430677 + 0.138530i
\(40\) 0.475272 3.15322i 0.0751471 0.498568i
\(41\) −0.671933 + 8.96633i −0.104938 + 1.40030i 0.657603 + 0.753365i \(0.271571\pi\)
−0.762541 + 0.646940i \(0.776048\pi\)
\(42\) 5.48713 + 6.67565i 0.846682 + 1.03007i
\(43\) −0.239749 3.19922i −0.0365613 0.487877i −0.985188 0.171479i \(-0.945145\pi\)
0.948626 0.316398i \(-0.102474\pi\)
\(44\) 6.51829 + 0.488479i 0.982670 + 0.0736409i
\(45\) 10.9297 + 3.31830i 1.62930 + 0.494664i
\(46\) 8.70908 + 5.93775i 1.28408 + 0.875473i
\(47\) 2.76737 + 3.47017i 0.403663 + 0.506177i 0.941565 0.336830i \(-0.109355\pi\)
−0.537903 + 0.843007i \(0.680783\pi\)
\(48\) 7.76942 + 2.37768i 1.12142 + 0.343189i
\(49\) −6.73877 1.89446i −0.962681 0.270637i
\(50\) −15.5084 8.95379i −2.19322 1.26626i
\(51\) 5.35066 6.74014i 0.749242 0.943809i
\(52\) 0.811525 + 0.0608154i 0.112538 + 0.00843358i
\(53\) 3.24602 + 10.5233i 0.445875 + 1.44549i 0.848043 + 0.529927i \(0.177781\pi\)
−0.402168 + 0.915566i \(0.631743\pi\)
\(54\) −4.19249 + 8.85613i −0.570525 + 1.20517i
\(55\) −6.94045 + 14.4120i −0.935850 + 1.94331i
\(56\) −2.10907 + 0.679716i −0.281837 + 0.0908308i
\(57\) −10.0072 3.90194i −1.32549 0.516824i
\(58\) 0.931576 + 0.140412i 0.122322 + 0.0184371i
\(59\) 5.76292 + 2.77527i 0.750268 + 0.361310i 0.769619 0.638503i \(-0.220446\pi\)
−0.0193517 + 0.999813i \(0.506160\pi\)
\(60\) 6.37938 8.03601i 0.823575 1.03744i
\(61\) −3.88646 + 0.887058i −0.497610 + 0.113576i −0.463958 0.885857i \(-0.653571\pi\)
−0.0336522 + 0.999434i \(0.510714\pi\)
\(62\) −6.08283 7.62763i −0.772520 0.968710i
\(63\) −1.31632 7.82734i −0.165840 0.986153i
\(64\) 2.58118 3.23669i 0.322647 0.404587i
\(65\) −0.864083 + 1.79429i −0.107176 + 0.222554i
\(66\) −11.3547 7.70465i −1.39767 0.948376i
\(67\) −10.5424 −1.28796 −0.643978 0.765044i \(-0.722717\pi\)
−0.643978 + 0.765044i \(0.722717\pi\)
\(68\) −3.86515 6.69464i −0.468718 0.811844i
\(69\) −4.22012 8.71364i −0.508042 1.04900i
\(70\) −1.18129 + 18.9588i −0.141191 + 2.26601i
\(71\) −15.0780 3.44146i −1.78943 0.408426i −0.806326 0.591472i \(-0.798547\pi\)
−0.983104 + 0.183046i \(0.941404\pi\)
\(72\) −1.71715 1.83426i −0.202369 0.216169i
\(73\) 0.116249 0.771264i 0.0136060 0.0902697i −0.980997 0.194022i \(-0.937847\pi\)
0.994603 + 0.103752i \(0.0330849\pi\)
\(74\) 15.6019 6.12330i 1.81369 0.711819i
\(75\) 8.25583 + 14.2265i 0.953301 + 1.64274i
\(76\) −6.56254 + 7.07274i −0.752775 + 0.811299i
\(77\) 11.1147 0.139742i 1.26663 0.0159251i
\(78\) −1.41366 0.959226i −0.160065 0.108611i
\(79\) 5.63084 0.633519 0.316760 0.948506i \(-0.397405\pi\)
0.316760 + 0.948506i \(0.397405\pi\)
\(80\) 8.93039 + 15.4679i 0.998448 + 1.72936i
\(81\) 7.39085 5.13569i 0.821206 0.570632i
\(82\) −9.55119 14.0090i −1.05475 1.54704i
\(83\) −10.8313 1.63255i −1.18889 0.179196i −0.475339 0.879803i \(-0.657675\pi\)
−0.713548 + 0.700607i \(0.752913\pi\)
\(84\) −6.97375 1.48355i −0.760899 0.161868i
\(85\) 18.7061 2.81949i 2.02896 0.305816i
\(86\) 4.11483 + 4.43473i 0.443713 + 0.478209i
\(87\) −0.677743 0.538026i −0.0726617 0.0576824i
\(88\) 2.90729 1.98216i 0.309918 0.211299i
\(89\) −1.78613 4.55099i −0.189330 0.482404i 0.804417 0.594066i \(-0.202478\pi\)
−0.993746 + 0.111661i \(0.964383\pi\)
\(90\) −20.0149 + 7.95798i −2.10976 + 0.838845i
\(91\) 1.38377 0.0173979i 0.145059 0.00182379i
\(92\) −8.67255 + 0.649917i −0.904175 + 0.0677586i
\(93\) 1.35526 + 8.85811i 0.140533 + 0.918543i
\(94\) −8.15985 1.86243i −0.841624 0.192095i
\(95\) −10.2445 21.2729i −1.05106 2.18255i
\(96\) −11.5515 + 4.56325i −1.17897 + 0.465735i
\(97\) 11.5129 6.64700i 1.16896 0.674901i 0.215527 0.976498i \(-0.430853\pi\)
0.953435 + 0.301597i \(0.0975198\pi\)
\(98\) 12.1623 5.12986i 1.22858 0.518194i
\(99\) 5.51895 + 11.3313i 0.554675 + 1.13884i
\(100\) 14.6102 2.20213i 1.46102 0.220213i
\(101\) 0.131957 1.76085i 0.0131303 0.175211i −0.986783 0.162047i \(-0.948190\pi\)
0.999913 0.0131644i \(-0.00419049\pi\)
\(102\) 0.0360115 + 16.2278i 0.00356567 + 1.60679i
\(103\) 5.16074 7.56942i 0.508503 0.745837i −0.483043 0.875597i \(-0.660468\pi\)
0.991545 + 0.129760i \(0.0414207\pi\)
\(104\) 0.361956 0.246778i 0.0354928 0.0241985i
\(105\) 9.61442 14.5599i 0.938271 1.42090i
\(106\) −17.1580 11.6981i −1.66654 1.13622i
\(107\) −1.31283 + 0.515249i −0.126916 + 0.0498110i −0.427949 0.903803i \(-0.640764\pi\)
0.301033 + 0.953614i \(0.402669\pi\)
\(108\) −1.85139 7.86959i −0.178150 0.757252i
\(109\) 3.58015 9.12206i 0.342916 0.873735i −0.650535 0.759476i \(-0.725455\pi\)
0.993451 0.114259i \(-0.0364494\pi\)
\(110\) −6.71207 29.4075i −0.639971 2.80390i
\(111\) −15.2280 2.26070i −1.44538 0.214576i
\(112\) 6.86206 10.3418i 0.648404 0.977206i
\(113\) −2.83262 + 1.11172i −0.266471 + 0.104582i −0.494815 0.868998i \(-0.664764\pi\)
0.228344 + 0.973580i \(0.426669\pi\)
\(114\) 19.3412 6.01299i 1.81147 0.563169i
\(115\) 6.27319 20.3372i 0.584978 1.89645i
\(116\) −0.673167 + 0.388653i −0.0625020 + 0.0360856i
\(117\) 0.687108 + 1.41074i 0.0635231 + 0.130423i
\(118\) −11.7592 + 2.68395i −1.08252 + 0.247078i
\(119\) −7.54109 10.7674i −0.691291 0.987044i
\(120\) −0.0122567 5.52322i −0.00111888 0.504199i
\(121\) −6.35531 + 1.96035i −0.577755 + 0.178214i
\(122\) 4.68687 5.87714i 0.424329 0.532092i
\(123\) 1.19828 + 15.5275i 0.108046 + 1.40007i
\(124\) 7.84775 + 1.79120i 0.704749 + 0.160854i
\(125\) −3.80961 + 16.6910i −0.340742 + 1.49289i
\(126\) 11.1433 + 9.99222i 0.992728 + 0.890178i
\(127\) −0.564415 2.47286i −0.0500837 0.219431i 0.943693 0.330823i \(-0.107326\pi\)
−0.993777 + 0.111392i \(0.964469\pi\)
\(128\) 6.53503i 0.577620i
\(129\) −1.24851 5.41468i −0.109925 0.476736i
\(130\) −0.835651 3.66123i −0.0732914 0.321111i
\(131\) −0.545989 7.28572i −0.0477033 0.636556i −0.968899 0.247456i \(-0.920405\pi\)
0.921196 0.389099i \(-0.127214\pi\)
\(132\) 11.2881 0.871121i 0.982504 0.0758214i
\(133\) −10.0676 + 12.9552i −0.872974 + 1.12336i
\(134\) 15.5426 12.3948i 1.34268 1.07075i
\(135\) 19.5822 + 2.81835i 1.68537 + 0.242565i
\(136\) −3.87365 1.52029i −0.332162 0.130364i
\(137\) 5.84411 + 8.57173i 0.499296 + 0.732332i 0.990318 0.138814i \(-0.0443292\pi\)
−0.491023 + 0.871147i \(0.663377\pi\)
\(138\) 16.4664 + 7.88485i 1.40172 + 0.671203i
\(139\) −2.36640 0.177337i −0.200715 0.0150415i −0.0260069 0.999662i \(-0.508279\pi\)
−0.174708 + 0.984620i \(0.555898\pi\)
\(140\) −8.99095 12.8375i −0.759874 1.08497i
\(141\) 5.64710 + 5.21647i 0.475572 + 0.439306i
\(142\) 26.2756 12.6537i 2.20500 1.06187i
\(143\) −2.09989 + 0.647729i −0.175601 + 0.0541659i
\(144\) 13.9251 + 2.03570i 1.16042 + 0.169642i
\(145\) −0.283508 1.88096i −0.0235441 0.156205i
\(146\) 0.735399 + 1.27375i 0.0608621 + 0.105416i
\(147\) −12.0339 1.47835i −0.992538 0.121932i
\(148\) −6.91438 + 11.9761i −0.568359 + 0.984426i
\(149\) 3.99130 + 1.56647i 0.326980 + 0.128330i 0.523152 0.852239i \(-0.324756\pi\)
−0.196172 + 0.980569i \(0.562851\pi\)
\(150\) −28.8978 11.2676i −2.35950 0.919997i
\(151\) −10.3156 9.57151i −0.839474 0.778918i 0.137898 0.990446i \(-0.455965\pi\)
−0.977372 + 0.211528i \(0.932156\pi\)
\(152\) −0.388133 + 5.17928i −0.0314818 + 0.420095i
\(153\) 7.39544 12.9416i 0.597886 1.04627i
\(154\) −16.2220 + 13.2737i −1.30721 + 1.06962i
\(155\) −11.0967 + 16.2758i −0.891305 + 1.30730i
\(156\) 1.40537 0.108454i 0.112519 0.00868330i
\(157\) 0.322505 0.669689i 0.0257387 0.0534470i −0.887703 0.460416i \(-0.847700\pi\)
0.913442 + 0.406969i \(0.133414\pi\)
\(158\) −8.30153 + 6.62025i −0.660434 + 0.526679i
\(159\) 8.31418 + 17.1670i 0.659358 + 1.36143i
\(160\) −25.4150 9.97466i −2.00923 0.788566i
\(161\) −14.5951 + 2.38789i −1.15026 + 0.188192i
\(162\) −4.85822 + 16.2610i −0.381698 + 1.27759i
\(163\) −1.14496 + 0.780620i −0.0896801 + 0.0611429i −0.607330 0.794450i \(-0.707759\pi\)
0.517650 + 0.855593i \(0.326807\pi\)
\(164\) 13.3679 + 4.12344i 1.04386 + 0.321987i
\(165\) −8.10773 + 26.4932i −0.631186 + 2.06249i
\(166\) 17.8879 10.3276i 1.38837 0.801577i
\(167\) 1.32042 + 0.407297i 0.102177 + 0.0315176i 0.345422 0.938447i \(-0.387736\pi\)
−0.243245 + 0.969965i \(0.578212\pi\)
\(168\) −3.43295 + 1.71623i −0.264858 + 0.132410i
\(169\) 12.1610 3.75118i 0.935462 0.288552i
\(170\) −24.2634 + 26.1497i −1.86092 + 2.00559i
\(171\) −18.1557 4.05924i −1.38840 0.310418i
\(172\) −4.93572 0.743940i −0.376345 0.0567249i
\(173\) −3.96438 + 17.3691i −0.301406 + 1.32055i 0.566600 + 0.823993i \(0.308258\pi\)
−0.868006 + 0.496553i \(0.834599\pi\)
\(174\) 1.63176 0.00362107i 0.123703 0.000274513i
\(175\) 24.4233 5.89845i 1.84623 0.445881i
\(176\) −5.80914 + 18.8328i −0.437880 + 1.41957i
\(177\) 10.5938 + 3.24204i 0.796281 + 0.243686i
\(178\) 7.98395 + 4.60954i 0.598423 + 0.345499i
\(179\) −1.04024 1.12111i −0.0777510 0.0837957i 0.692978 0.720959i \(-0.256298\pi\)
−0.770729 + 0.637163i \(0.780108\pi\)
\(180\) 8.81730 15.4298i 0.657203 1.15007i
\(181\) −7.78798 6.21070i −0.578876 0.461638i 0.289753 0.957101i \(-0.406427\pi\)
−0.868629 + 0.495463i \(0.834998\pi\)
\(182\) −2.01964 + 1.65257i −0.149705 + 0.122497i
\(183\) −6.42175 + 2.53681i −0.474709 + 0.187526i
\(184\) −3.43186 + 3.18430i −0.253000 + 0.234750i
\(185\) −21.0997 26.4582i −1.55128 1.94525i
\(186\) −12.4126 11.4661i −0.910139 0.840734i
\(187\) 16.3201 + 13.0149i 1.19345 + 0.951741i
\(188\) 6.22180 2.99626i 0.453771 0.218525i
\(189\) −4.30407 13.0566i −0.313075 0.949729i
\(190\) 40.1142 + 19.3180i 2.91019 + 1.40147i
\(191\) 1.48641 + 3.08657i 0.107553 + 0.223337i 0.947798 0.318870i \(-0.103303\pi\)
−0.840245 + 0.542206i \(0.817589\pi\)
\(192\) 3.57146 6.21777i 0.257748 0.448729i
\(193\) 8.05156 3.87742i 0.579564 0.279103i −0.121047 0.992647i \(-0.538625\pi\)
0.700611 + 0.713544i \(0.252911\pi\)
\(194\) −9.15853 + 23.3356i −0.657544 + 1.67540i
\(195\) −1.00941 + 3.29840i −0.0722853 + 0.236203i
\(196\) −5.20663 + 9.56577i −0.371902 + 0.683269i
\(197\) 1.57393i 0.112138i −0.998427 0.0560689i \(-0.982143\pi\)
0.998427 0.0560689i \(-0.0178566\pi\)
\(198\) −21.4589 10.2170i −1.52502 0.726090i
\(199\) 3.64010 5.33905i 0.258040 0.378475i −0.675256 0.737584i \(-0.735967\pi\)
0.933296 + 0.359108i \(0.116919\pi\)
\(200\) 5.40984 5.83043i 0.382534 0.412273i
\(201\) −18.0499 + 2.76156i −1.27314 + 0.194786i
\(202\) 1.87571 + 2.75116i 0.131974 + 0.193571i
\(203\) −1.08269 + 0.758281i −0.0759902 + 0.0532209i
\(204\) −8.37129 10.4496i −0.586107 0.731619i
\(205\) −21.3448 + 26.7655i −1.49079 + 1.86939i
\(206\) 1.29099 + 17.2271i 0.0899478 + 1.20027i
\(207\) −9.50791 13.8134i −0.660845 0.960099i
\(208\) −0.723236 + 2.34467i −0.0501474 + 0.162574i
\(209\) 9.51843 24.2526i 0.658403 1.67758i
\(210\) 2.94372 + 32.7694i 0.203136 + 2.26130i
\(211\) −1.38465 3.52803i −0.0953232 0.242880i 0.875257 0.483659i \(-0.160692\pi\)
−0.970580 + 0.240779i \(0.922597\pi\)
\(212\) 17.0861 1.28042i 1.17348 0.0879398i
\(213\) −26.7170 1.94255i −1.83062 0.133101i
\(214\) 1.32972 2.30314i 0.0908979 0.157440i
\(215\) 6.10749 10.5785i 0.416527 0.721447i
\(216\) −3.42047 2.69068i −0.232733 0.183077i
\(217\) 13.5601 + 1.86983i 0.920521 + 0.126932i
\(218\) 5.44672 + 17.6578i 0.368899 + 1.19594i
\(219\) −0.00299793 1.35095i −0.000202582 0.0912891i
\(220\) 19.4579 + 15.5171i 1.31185 + 1.04616i
\(221\) 2.03185 + 1.62035i 0.136677 + 0.108996i
\(222\) 25.1085 14.5708i 1.68517 0.977927i
\(223\) −6.89590 22.3559i −0.461783 1.49706i −0.824877 0.565312i \(-0.808756\pi\)
0.363094 0.931753i \(-0.381720\pi\)
\(224\) 1.65552 + 18.8998i 0.110614 + 1.26279i
\(225\) 17.8617 + 22.1950i 1.19078 + 1.47967i
\(226\) 2.86906 4.96936i 0.190847 0.330557i
\(227\) −5.05499 + 8.75550i −0.335512 + 0.581123i −0.983583 0.180456i \(-0.942243\pi\)
0.648071 + 0.761580i \(0.275576\pi\)
\(228\) −9.38321 + 13.8285i −0.621419 + 0.915814i
\(229\) −6.07334 + 0.455134i −0.401338 + 0.0300761i −0.273870 0.961767i \(-0.588304\pi\)
−0.127467 + 0.991843i \(0.540685\pi\)
\(230\) 14.6621 + 37.3585i 0.966792 + 2.46335i
\(231\) 18.9931 3.15073i 1.24966 0.207303i
\(232\) −0.152870 + 0.389507i −0.0100364 + 0.0255724i
\(233\) 2.31201 7.49536i 0.151465 0.491037i −0.847761 0.530379i \(-0.822050\pi\)
0.999226 + 0.0393412i \(0.0125259\pi\)
\(234\) −2.67163 1.27201i −0.174650 0.0831540i
\(235\) 1.26289 + 16.8521i 0.0823819 + 1.09931i
\(236\) 6.20483 7.78061i 0.403900 0.506475i
\(237\) 9.64072 1.47499i 0.626232 0.0958110i
\(238\) 23.7771 + 7.00815i 1.54124 + 0.454271i
\(239\) −9.84536 14.4405i −0.636843 0.934078i −0.999997 0.00234854i \(-0.999252\pi\)
0.363154 0.931729i \(-0.381700\pi\)
\(240\) 19.3418 + 24.1437i 1.24851 + 1.55847i
\(241\) −9.87723 + 10.6451i −0.636248 + 0.685713i −0.966055 0.258336i \(-0.916826\pi\)
0.329807 + 0.944048i \(0.393016\pi\)
\(242\) 7.06480 10.3622i 0.454142 0.666105i
\(243\) 11.3088 10.7290i 0.725460 0.688264i
\(244\) 6.20225i 0.397058i
\(245\) −17.1359 20.4130i −1.09477 1.30414i
\(246\) −20.0225 21.4833i −1.27659 1.36973i
\(247\) 1.18504 3.01944i 0.0754024 0.192122i
\(248\) 3.90405 1.88009i 0.247907 0.119386i
\(249\) −18.9722 + 0.0421016i −1.20231 + 0.00266808i
\(250\) −14.0073 29.0865i −0.885900 1.83959i
\(251\) 13.3249 + 6.41692i 0.841059 + 0.405032i 0.804251 0.594290i \(-0.202567\pi\)
0.0368076 + 0.999322i \(0.488281\pi\)
\(252\) −12.3286 0.713256i −0.776627 0.0449309i
\(253\) 21.1586 10.1894i 1.33023 0.640604i
\(254\) 3.73949 + 2.98214i 0.234636 + 0.187116i
\(255\) 31.2886 9.72735i 1.95937 0.609151i
\(256\) 12.8457 + 16.1080i 0.802854 + 1.00675i
\(257\) −3.70924 + 3.44168i −0.231376 + 0.214686i −0.787337 0.616523i \(-0.788541\pi\)
0.555961 + 0.831208i \(0.312350\pi\)
\(258\) 8.20679 + 6.51495i 0.510932 + 0.405603i
\(259\) −9.93606 + 21.3138i −0.617397 + 1.32438i
\(260\) 2.42250 + 1.93188i 0.150237 + 0.119810i
\(261\) −1.30132 0.743635i −0.0805496 0.0460299i
\(262\) 9.37086 + 10.0994i 0.578933 + 0.623942i
\(263\) 21.4080 + 12.3599i 1.32008 + 0.762146i 0.983740 0.179597i \(-0.0574793\pi\)
0.336335 + 0.941742i \(0.390813\pi\)
\(264\) 4.45843 4.15527i 0.274397 0.255739i
\(265\) −12.3590 + 40.0669i −0.759208 + 2.46129i
\(266\) −0.388958 30.9365i −0.0238485 1.89684i
\(267\) −4.25022 7.32401i −0.260109 0.448222i
\(268\) −3.64987 + 15.9911i −0.222951 + 0.976814i
\(269\) 7.76224 + 1.16997i 0.473272 + 0.0713343i 0.381348 0.924432i \(-0.375460\pi\)
0.0919245 + 0.995766i \(0.470698\pi\)
\(270\) −32.1836 + 18.8680i −1.95863 + 1.14827i
\(271\) 0.343774 0.370500i 0.0208828 0.0225063i −0.722524 0.691346i \(-0.757018\pi\)
0.743407 + 0.668839i \(0.233209\pi\)
\(272\) 22.2721 6.87002i 1.35044 0.416556i
\(273\) 2.36464 0.392265i 0.143114 0.0237410i
\(274\) −18.6938 5.76629i −1.12934 0.348354i
\(275\) −34.5523 + 19.9488i −2.08359 + 1.20296i
\(276\) −14.6783 + 3.38451i −0.883528 + 0.203723i
\(277\) 8.26438 + 2.54922i 0.496559 + 0.153168i 0.532912 0.846171i \(-0.321098\pi\)
−0.0363529 + 0.999339i \(0.511574\pi\)
\(278\) 3.69727 2.52076i 0.221748 0.151185i
\(279\) 4.64074 + 14.8112i 0.277834 + 0.886724i
\(280\) −8.09268 2.38526i −0.483630 0.142547i
\(281\) −10.2096 4.00699i −0.609056 0.239037i 0.0407101 0.999171i \(-0.487038\pi\)
−0.649766 + 0.760134i \(0.725133\pi\)
\(282\) −14.4586 1.05126i −0.860996 0.0626016i
\(283\) −11.0724 + 8.82992i −0.658184 + 0.524884i −0.894657 0.446754i \(-0.852580\pi\)
0.236473 + 0.971638i \(0.424009\pi\)
\(284\) −10.4403 + 21.6795i −0.619517 + 1.28644i
\(285\) −23.1123 33.7384i −1.36905 1.99849i
\(286\) 2.33431 3.42381i 0.138031 0.202454i
\(287\) 23.2575 + 5.00160i 1.37284 + 0.295235i
\(288\) −18.5824 + 10.8388i −1.09498 + 0.638681i
\(289\) 0.574402 7.66486i 0.0337883 0.450874i
\(290\) 2.62944 + 2.43976i 0.154406 + 0.143268i
\(291\) 17.9705 14.3963i 1.05345 0.843927i
\(292\) −1.12964 0.443351i −0.0661072 0.0259452i
\(293\) 2.87718 4.98342i 0.168087 0.291135i −0.769660 0.638453i \(-0.779574\pi\)
0.937747 + 0.347319i \(0.112908\pi\)
\(294\) 19.4796 11.9689i 1.13608 0.698039i
\(295\) 12.1768 + 21.0909i 0.708963 + 1.22796i
\(296\) 1.10950 + 7.36102i 0.0644881 + 0.427851i
\(297\) 12.4174 + 17.9549i 0.720529 + 1.04185i
\(298\) −7.72607 + 2.38318i −0.447559 + 0.138054i
\(299\) 2.63424 1.26858i 0.152342 0.0733639i
\(300\) 24.4376 7.59744i 1.41091 0.438638i
\(301\) −8.47166 0.527853i −0.488298 0.0304250i
\(302\) 26.4616 + 1.98303i 1.52270 + 0.114110i
\(303\) −0.235325 3.04937i −0.0135190 0.175182i
\(304\) −16.3873 24.0358i −0.939878 1.37855i
\(305\) −14.1288 5.54513i −0.809011 0.317513i
\(306\) 4.31251 + 27.7746i 0.246530 + 1.58777i
\(307\) 6.85357 5.46554i 0.391154 0.311935i −0.408090 0.912942i \(-0.633805\pi\)
0.799244 + 0.601007i \(0.205234\pi\)
\(308\) 3.63604 16.9076i 0.207182 0.963399i
\(309\) 6.85305 14.3117i 0.389856 0.814162i
\(310\) −2.77590 37.0418i −0.157661 2.10383i
\(311\) 1.43529 + 6.28840i 0.0813877 + 0.356583i 0.999180 0.0404770i \(-0.0128877\pi\)
−0.917793 + 0.397060i \(0.870031\pi\)
\(312\) 0.555073 0.517329i 0.0314248 0.0292880i
\(313\) 9.78149i 0.552882i 0.961031 + 0.276441i \(0.0891551\pi\)
−0.961031 + 0.276441i \(0.910845\pi\)
\(314\) 0.311893 + 1.36649i 0.0176011 + 0.0771157i
\(315\) 12.6472 27.4469i 0.712588 1.54646i
\(316\) 1.94945 8.54110i 0.109665 0.480474i
\(317\) 5.98891 + 1.36693i 0.336371 + 0.0767744i 0.387370 0.921924i \(-0.373384\pi\)
−0.0509995 + 0.998699i \(0.516241\pi\)
\(318\) −32.4411 15.5342i −1.81920 0.871115i
\(319\) 1.30869 1.64104i 0.0732724 0.0918807i
\(320\) 15.0621 4.64603i 0.841995 0.259721i
\(321\) −2.11277 + 1.22607i −0.117923 + 0.0684324i
\(322\) 18.7101 20.6801i 1.04267 1.15246i
\(323\) −30.0390 + 6.85621i −1.67142 + 0.381490i
\(324\) −5.23124 12.9888i −0.290625 0.721599i
\(325\) −4.30176 + 2.48362i −0.238618 + 0.137766i
\(326\) 0.770225 2.49701i 0.0426588 0.138296i
\(327\) 3.74015 16.5560i 0.206831 0.915546i
\(328\) 7.01006 2.75125i 0.387066 0.151912i
\(329\) 10.0953 5.99900i 0.556572 0.330735i
\(330\) −19.1952 48.5912i −1.05666 2.67486i
\(331\) 0.278653 + 1.22086i 0.0153161 + 0.0671044i 0.982008 0.188837i \(-0.0604718\pi\)
−0.966692 + 0.255941i \(0.917615\pi\)
\(332\) −6.22621 + 15.8641i −0.341708 + 0.870657i
\(333\) −26.6644 + 0.118344i −1.46120 + 0.00648520i
\(334\) −2.42556 + 0.951962i −0.132721 + 0.0520890i
\(335\) −33.1647 22.6113i −1.81198 1.23539i
\(336\) 9.03971 19.5040i 0.493157 1.06403i
\(337\) −6.74049 + 4.59559i −0.367178 + 0.250338i −0.732827 0.680415i \(-0.761799\pi\)
0.365649 + 0.930753i \(0.380847\pi\)
\(338\) −13.5186 + 19.8282i −0.735317 + 1.07851i
\(339\) −4.55860 + 2.64541i −0.247589 + 0.143679i
\(340\) 2.19950 29.3503i 0.119285 1.59174i
\(341\) −21.4936 + 3.23964i −1.16394 + 0.175436i
\(342\) 31.5394 15.3614i 1.70546 0.830650i
\(343\) −7.40073 + 16.9773i −0.399602 + 0.916689i
\(344\) −2.32698 + 1.34348i −0.125462 + 0.0724356i
\(345\) 5.41320 36.4631i 0.291437 1.96311i
\(346\) −14.5764 30.2681i −0.783630 1.62722i
\(347\) 33.2496 + 7.58902i 1.78493 + 0.407400i 0.982033 0.188711i \(-0.0604310\pi\)
0.802902 + 0.596111i \(0.203288\pi\)
\(348\) −1.05074 + 0.841760i −0.0563257 + 0.0451231i
\(349\) −28.3561 + 2.12500i −1.51787 + 0.113748i −0.807409 0.589991i \(-0.799131\pi\)
−0.710458 + 0.703740i \(0.751512\pi\)
\(350\) −29.0723 + 37.4108i −1.55398 + 1.99969i
\(351\) 1.54596 + 2.23538i 0.0825172 + 0.119316i
\(352\) −11.0065 28.0440i −0.586647 1.49475i
\(353\) 4.48023 3.05457i 0.238459 0.162578i −0.438195 0.898880i \(-0.644382\pi\)
0.676653 + 0.736302i \(0.263430\pi\)
\(354\) −19.4302 + 7.67558i −1.03270 + 0.407952i
\(355\) −40.0519 43.1656i −2.12573 2.29099i
\(356\) −7.52152 + 1.13369i −0.398640 + 0.0600853i
\(357\) −15.7318 16.4597i −0.832616 0.871142i
\(358\) 2.85172 + 0.429828i 0.150718 + 0.0227171i
\(359\) 7.99420 + 11.7253i 0.421918 + 0.618840i 0.977072 0.212907i \(-0.0682933\pi\)
−0.555155 + 0.831747i \(0.687341\pi\)
\(360\) −1.46779 9.45325i −0.0773591 0.498230i
\(361\) 9.72824 + 16.8498i 0.512013 + 0.886832i
\(362\) 18.7838 0.987254
\(363\) −10.3676 + 5.02114i −0.544157 + 0.263542i
\(364\) 0.452685 2.10499i 0.0237272 0.110331i
\(365\) 2.01991 2.17695i 0.105727 0.113947i
\(366\) 6.48500 11.2901i 0.338977 0.590145i
\(367\) 15.7684 6.18866i 0.823106 0.323045i 0.0838574 0.996478i \(-0.473276\pi\)
0.739249 + 0.673432i \(0.235181\pi\)
\(368\) 3.90816 25.9289i 0.203727 1.35164i
\(369\) 6.11903 + 26.2712i 0.318544 + 1.36762i
\(370\) 62.2145 + 14.2001i 3.23438 + 0.738226i
\(371\) 28.7543 4.70445i 1.49285 0.244243i
\(372\) 13.9056 + 1.01105i 0.720970 + 0.0524206i
\(373\) 11.1800 + 19.3644i 0.578880 + 1.00265i 0.995608 + 0.0936179i \(0.0298432\pi\)
−0.416729 + 0.909031i \(0.636823\pi\)
\(374\) −39.3625 −2.03538
\(375\) −2.15035 + 29.5750i −0.111044 + 1.52725i
\(376\) 1.61292 3.34926i 0.0831798 0.172725i
\(377\) 0.162931 0.204309i 0.00839138 0.0105225i
\(378\) 21.6963 + 14.1890i 1.11594 + 0.729802i
\(379\) 22.6786 + 28.4380i 1.16492 + 1.46076i 0.861393 + 0.507939i \(0.169593\pi\)
0.303526 + 0.952823i \(0.401836\pi\)
\(380\) −35.8144 + 8.17440i −1.83724 + 0.419338i
\(381\) −1.61411 4.08601i −0.0826935 0.209333i
\(382\) −5.82034 2.80293i −0.297794 0.143410i
\(383\) −11.0393 1.66391i −0.564084 0.0850220i −0.139191 0.990266i \(-0.544450\pi\)
−0.424893 + 0.905243i \(0.639688\pi\)
\(384\) −1.71184 11.1888i −0.0873571 0.570976i
\(385\) 35.2648 + 23.3992i 1.79726 + 1.19253i
\(386\) −7.31165 + 15.1828i −0.372153 + 0.772784i
\(387\) −3.55598 8.94358i −0.180761 0.454628i
\(388\) −6.09656 19.7646i −0.309506 1.00339i
\(389\) −25.0791 1.87942i −1.27156 0.0952902i −0.578208 0.815889i \(-0.696248\pi\)
−0.693352 + 0.720599i \(0.743867\pi\)
\(390\) −2.38980 6.04959i −0.121012 0.306333i
\(391\) −24.0521 13.8865i −1.21637 0.702271i
\(392\) 1.01927 + 5.77343i 0.0514808 + 0.291602i
\(393\) −2.84329 12.3311i −0.143425 0.622020i
\(394\) 1.85049 + 2.32044i 0.0932262 + 0.116902i
\(395\) 17.7138 + 12.0770i 0.891276 + 0.607662i
\(396\) 19.0985 4.44838i 0.959736 0.223539i
\(397\) −24.8451 1.86189i −1.24694 0.0934454i −0.565148 0.824990i \(-0.691181\pi\)
−0.681794 + 0.731544i \(0.738800\pi\)
\(398\) 0.910596 + 12.1511i 0.0456440 + 0.609077i
\(399\) −13.8435 + 24.8182i −0.693040 + 1.24247i
\(400\) −3.32911 + 44.4239i −0.166456 + 2.22120i
\(401\) −4.82031 + 31.9807i −0.240715 + 1.59704i 0.462869 + 0.886427i \(0.346820\pi\)
−0.703584 + 0.710613i \(0.748418\pi\)
\(402\) 23.3641 25.2929i 1.16530 1.26149i
\(403\) −2.67594 + 0.403334i −0.133298 + 0.0200915i
\(404\) −2.62525 0.809782i −0.130611 0.0402881i
\(405\) 34.2655 0.304165i 1.70267 0.0151141i
\(406\) 0.704692 2.39087i 0.0349733 0.118657i
\(407\) 5.56553 36.9249i 0.275873 1.83030i
\(408\) −7.03042 1.58824i −0.348057 0.0786296i
\(409\) 26.4136 6.02872i 1.30607 0.298101i 0.487808 0.872951i \(-0.337797\pi\)
0.818259 + 0.574850i \(0.194940\pi\)
\(410\) 64.5557i 3.18818i
\(411\) 12.2512 + 13.1450i 0.604308 + 0.648397i
\(412\) −9.69491 10.4486i −0.477634 0.514767i
\(413\) 9.35662 14.1013i 0.460409 0.693880i
\(414\) 30.2581 + 9.18651i 1.48710 + 0.451492i
\(415\) −30.5720 28.3667i −1.50072 1.39247i
\(416\) −1.37030 3.49147i −0.0671845 0.171183i
\(417\) −4.09803 + 0.316251i −0.200681 + 0.0154869i
\(418\) 14.4810 + 46.9464i 0.708291 + 2.29622i
\(419\) −16.4339 15.2484i −0.802849 0.744935i 0.167700 0.985838i \(-0.446366\pi\)
−0.970549 + 0.240903i \(0.922557\pi\)
\(420\) −18.7564 19.6243i −0.915221 0.957569i
\(421\) −7.39355 + 6.86022i −0.360340 + 0.334346i −0.839479 0.543393i \(-0.817139\pi\)
0.479139 + 0.877739i \(0.340949\pi\)
\(422\) 6.18933 + 3.57341i 0.301292 + 0.173951i
\(423\) 11.0350 + 7.45202i 0.536541 + 0.362329i
\(424\) 6.76122 6.27350i 0.328354 0.304668i
\(425\) 42.5112 + 20.4723i 2.06210 + 0.993053i
\(426\) 41.6726 28.5476i 2.01904 1.38313i
\(427\) 0.920343 + 10.5068i 0.0445385 + 0.508460i
\(428\) 0.327036 + 2.16975i 0.0158079 + 0.104879i
\(429\) −3.42560 + 1.65906i −0.165390 + 0.0801001i
\(430\) 3.43300 + 22.7765i 0.165554 + 1.09838i
\(431\) −17.0879 + 1.28056i −0.823093 + 0.0616823i −0.479616 0.877479i \(-0.659224\pi\)
−0.343477 + 0.939161i \(0.611605\pi\)
\(432\) 24.3748 0.162274i 1.17273 0.00780741i
\(433\) 1.46725 + 3.04677i 0.0705114 + 0.146418i 0.933245 0.359240i \(-0.116964\pi\)
−0.862734 + 0.505658i \(0.831250\pi\)
\(434\) −22.1900 + 13.1861i −1.06516 + 0.632954i
\(435\) −0.978117 3.14617i −0.0468971 0.150847i
\(436\) −12.5972 8.58866i −0.603299 0.411322i
\(437\) −7.71348 + 33.7950i −0.368986 + 1.61663i
\(438\) 1.59275 + 1.98818i 0.0761047 + 0.0949991i
\(439\) 16.2766 12.9801i 0.776839 0.619508i −0.152683 0.988275i \(-0.548791\pi\)
0.929522 + 0.368767i \(0.120220\pi\)
\(440\) 13.3972 0.638687
\(441\) −20.9908 + 0.621141i −0.999562 + 0.0295781i
\(442\) −4.90061 −0.233098
\(443\) 16.8945 13.4729i 0.802682 0.640117i −0.133731 0.991018i \(-0.542696\pi\)
0.936413 + 0.350900i \(0.114124\pi\)
\(444\) −8.70119 + 22.3158i −0.412940 + 1.05906i
\(445\) 4.14208 18.1476i 0.196353 0.860281i
\(446\) 36.4508 + 24.8517i 1.72599 + 1.17676i
\(447\) 7.24395 + 1.63648i 0.342627 + 0.0774028i
\(448\) −7.55036 7.93490i −0.356721 0.374889i
\(449\) 10.3723 + 21.5384i 0.489501 + 1.01646i 0.988691 + 0.149967i \(0.0479168\pi\)
−0.499190 + 0.866493i \(0.666369\pi\)
\(450\) −52.4283 11.7219i −2.47149 0.552574i
\(451\) −37.6701 + 2.82298i −1.77381 + 0.132929i
\(452\) 0.705627 + 4.68153i 0.0331899 + 0.220201i
\(453\) −20.1689 13.6855i −0.947619 0.643000i
\(454\) −2.84140 18.8514i −0.133353 0.884741i
\(455\) 4.39045 + 2.91319i 0.205828 + 0.136572i
\(456\) 0.692172 + 8.96926i 0.0324139 + 0.420024i
\(457\) 12.5064 + 6.02276i 0.585024 + 0.281733i 0.702892 0.711296i \(-0.251892\pi\)
−0.117868 + 0.993029i \(0.537606\pi\)
\(458\) 8.41880 7.81151i 0.393385 0.365008i
\(459\) 9.27191 24.0949i 0.432776 1.12465i
\(460\) −28.6764 16.5564i −1.33705 0.771944i
\(461\) −28.2312 + 26.1947i −1.31486 + 1.22001i −0.356550 + 0.934276i \(0.616047\pi\)
−0.958309 + 0.285735i \(0.907762\pi\)
\(462\) −24.2972 + 26.9756i −1.13041 + 1.25502i
\(463\) −5.09587 4.72828i −0.236825 0.219742i 0.552828 0.833296i \(-0.313549\pi\)
−0.789653 + 0.613554i \(0.789739\pi\)
\(464\) −0.690803 2.23953i −0.0320697 0.103967i
\(465\) −14.7355 + 30.7730i −0.683341 + 1.42706i
\(466\) 5.40380 + 13.7687i 0.250326 + 0.637820i
\(467\) −7.75639 7.19687i −0.358923 0.333032i 0.480014 0.877261i \(-0.340632\pi\)
−0.838936 + 0.544229i \(0.816822\pi\)
\(468\) 2.37776 0.553822i 0.109912 0.0256004i
\(469\) −3.81009 + 27.6311i −0.175934 + 1.27588i
\(470\) −21.6751 23.3602i −0.999798 1.07753i
\(471\) 0.376746 1.23107i 0.0173595 0.0567248i
\(472\) 5.35714i 0.246582i
\(473\) 13.1406 2.99926i 0.604205 0.137906i
\(474\) −12.4791 + 13.5093i −0.573185 + 0.620502i
\(475\) 8.77727 58.2333i 0.402729 2.67193i
\(476\) −18.9432 + 7.71088i −0.868261 + 0.353428i
\(477\) 18.7318 + 27.2143i 0.857672 + 1.24606i
\(478\) 31.4928 + 9.71426i 1.44045 + 0.444320i
\(479\) 1.96795 0.296620i 0.0899178 0.0135529i −0.103929 0.994585i \(-0.533142\pi\)
0.193847 + 0.981032i \(0.437903\pi\)
\(480\) −46.1266 10.4205i −2.10538 0.475627i
\(481\) 0.692907 4.59714i 0.0315938 0.209611i
\(482\) 2.04637 27.3068i 0.0932094 1.24379i
\(483\) −24.3632 + 7.91154i −1.10856 + 0.359988i
\(484\) 0.773279 + 10.3187i 0.0351490 + 0.469031i
\(485\) 50.4745 + 3.78254i 2.29193 + 0.171756i
\(486\) −4.05834 + 29.1136i −0.184090 + 1.32062i
\(487\) −28.4001 19.3628i −1.28693 0.877414i −0.290101 0.956996i \(-0.593689\pi\)
−0.996828 + 0.0795821i \(0.974641\pi\)
\(488\) 2.08167 + 2.61033i 0.0942326 + 0.118164i
\(489\) −1.75583 + 1.63644i −0.0794016 + 0.0740024i
\(490\) 49.2632 + 9.94796i 2.22549 + 0.449403i
\(491\) 2.91886 + 1.68521i 0.131726 + 0.0760523i 0.564415 0.825491i \(-0.309102\pi\)
−0.432689 + 0.901543i \(0.642435\pi\)
\(492\) 23.9676 + 3.55816i 1.08054 + 0.160414i
\(493\) −2.47535 0.185502i −0.111484 0.00835459i
\(494\) 1.80289 + 5.84481i 0.0811157 + 0.262971i
\(495\) −6.94161 + 47.4836i −0.312002 + 2.13423i
\(496\) −10.5304 + 21.8667i −0.472830 + 0.981843i
\(497\) −14.4692 + 38.2749i −0.649032 + 1.71687i
\(498\) 27.9211 22.3679i 1.25118 1.00233i
\(499\) 25.2538 + 3.80639i 1.13051 + 0.170397i 0.687546 0.726140i \(-0.258688\pi\)
0.442967 + 0.896538i \(0.353926\pi\)
\(500\) 23.9987 + 11.5572i 1.07325 + 0.516852i
\(501\) 2.36742 + 0.351461i 0.105769 + 0.0157021i
\(502\) −27.1893 + 6.20577i −1.21352 + 0.276977i
\(503\) −21.3294 26.7463i −0.951032 1.19256i −0.981197 0.193011i \(-0.938175\pi\)
0.0301646 0.999545i \(-0.490397\pi\)
\(504\) −5.42809 + 3.83766i −0.241786 + 0.170943i
\(505\) 4.19179 5.25634i 0.186532 0.233904i
\(506\) −19.2142 + 39.8987i −0.854174 + 1.77371i
\(507\) 19.8386 9.60806i 0.881063 0.426709i
\(508\) −3.94635 −0.175091
\(509\) −0.0821706 0.142324i −0.00364215 0.00630839i 0.864199 0.503151i \(-0.167826\pi\)
−0.867841 + 0.496842i \(0.834493\pi\)
\(510\) −34.6921 + 51.1274i −1.53619 + 2.26396i
\(511\) −1.97943 0.583425i −0.0875650 0.0258092i
\(512\) −25.1343 5.73674i −1.11079 0.253530i
\(513\) −32.1483 2.19406i −1.41938 0.0968701i
\(514\) 1.42211 9.43506i 0.0627264 0.416162i
\(515\) 32.4698 12.7435i 1.43079 0.561544i
\(516\) −8.64546 + 0.0191853i −0.380595 + 0.000844587i
\(517\) −12.6835 + 13.6696i −0.557820 + 0.601187i
\(518\) −10.4102 43.1049i −0.457399 1.89392i
\(519\) −2.23771 + 30.7765i −0.0982247 + 1.35094i
\(520\) 1.66795 0.0731444
\(521\) −13.6752 23.6862i −0.599123 1.03771i −0.992951 0.118528i \(-0.962183\pi\)
0.393827 0.919184i \(-0.371151\pi\)
\(522\) 2.79283 0.433637i 0.122239 0.0189798i
\(523\) −5.23338 7.67596i −0.228840 0.335646i 0.694596 0.719400i \(-0.255583\pi\)
−0.923435 + 0.383754i \(0.874631\pi\)
\(524\) −11.2403 1.69420i −0.491035 0.0740116i
\(525\) 40.2707 16.4966i 1.75756 0.719969i
\(526\) −46.0935 + 6.94748i −2.00977 + 0.302924i
\(527\) 17.4845 + 18.8438i 0.761635 + 0.820848i
\(528\) −5.01277 + 33.7658i −0.218153 + 1.46947i
\(529\) −6.81287 + 4.64494i −0.296212 + 0.201954i
\(530\) −28.8863 73.6012i −1.25474 3.19703i
\(531\) 18.9872 + 2.77574i 0.823976 + 0.120457i
\(532\) 16.1655 + 19.7562i 0.700865 + 0.856541i
\(533\) −4.68991 + 0.351460i −0.203143 + 0.0152234i
\(534\) 14.8770 + 5.80073i 0.643791 + 0.251022i
\(535\) −5.23508 1.19487i −0.226332 0.0516589i
\(536\) 3.83100 + 7.95516i 0.165474 + 0.343611i
\(537\) −2.07469 1.64699i −0.0895296 0.0710730i
\(538\) −12.8194 + 7.40128i −0.552683 + 0.319092i
\(539\) 3.65067 29.1815i 0.157245 1.25694i
\(540\) 11.0545 28.7274i 0.475712 1.23623i
\(541\) 25.0449 3.77492i 1.07677 0.162296i 0.413369 0.910564i \(-0.364352\pi\)
0.663397 + 0.748267i \(0.269114\pi\)
\(542\) −0.0712231 + 0.950407i −0.00305930 + 0.0408235i
\(543\) −14.9609 8.59347i −0.642034 0.368781i
\(544\) −20.0702 + 29.4375i −0.860502 + 1.26212i
\(545\) 30.8276 21.0179i 1.32051 0.900308i
\(546\) −3.02499 + 3.35845i −0.129458 + 0.143728i
\(547\) −16.6641 11.3614i −0.712506 0.485778i 0.152013 0.988378i \(-0.451424\pi\)
−0.864519 + 0.502600i \(0.832377\pi\)
\(548\) 15.0252 5.89698i 0.641847 0.251906i
\(549\) −10.3303 + 6.02551i −0.440888 + 0.257163i
\(550\) 27.4864 70.0341i 1.17202 2.98626i
\(551\) 0.689414 + 3.02052i 0.0293700 + 0.128678i
\(552\) −5.04167 + 6.35091i −0.214588 + 0.270313i
\(553\) 2.03503 14.7582i 0.0865382 0.627581i
\(554\) −15.1813 + 5.95822i −0.644992 + 0.253141i
\(555\) −43.0561 39.7728i −1.82763 1.68826i
\(556\) −1.08826 + 3.52806i −0.0461526 + 0.149623i
\(557\) 9.21964 5.32296i 0.390649 0.225541i −0.291793 0.956482i \(-0.594252\pi\)
0.682441 + 0.730941i \(0.260918\pi\)
\(558\) −24.2556 16.3799i −1.02682 0.693418i
\(559\) 1.63600 0.373406i 0.0691954 0.0157934i
\(560\) 43.7681 17.8159i 1.84954 0.752859i
\(561\) 31.3514 + 18.0081i 1.32366 + 0.760302i
\(562\) 19.7631 6.09611i 0.833656 0.257149i
\(563\) −4.81038 + 6.03202i −0.202733 + 0.254219i −0.872796 0.488085i \(-0.837696\pi\)
0.670063 + 0.742304i \(0.266267\pi\)
\(564\) 9.86764 6.75977i 0.415503 0.284638i
\(565\) −11.2954 2.57811i −0.475202 0.108462i
\(566\) 5.94251 26.0358i 0.249782 1.09437i
\(567\) −10.7893 21.2271i −0.453107 0.891456i
\(568\) 2.88232 + 12.6283i 0.120940 + 0.529871i
\(569\) 11.1182i 0.466098i 0.972465 + 0.233049i \(0.0748703\pi\)
−0.972465 + 0.233049i \(0.925130\pi\)
\(570\) 73.7410 + 22.5670i 3.08867 + 0.945228i
\(571\) 9.66994 + 42.3668i 0.404674 + 1.77299i 0.608056 + 0.793894i \(0.291950\pi\)
−0.203382 + 0.979100i \(0.565193\pi\)
\(572\) 0.255503 + 3.40945i 0.0106831 + 0.142556i
\(573\) 3.35346 + 4.89524i 0.140093 + 0.204502i
\(574\) −40.1688 + 19.9702i −1.67662 + 0.833542i
\(575\) 41.5024 33.0970i 1.73077 1.38024i
\(576\) 4.48606 11.5812i 0.186919 0.482548i
\(577\) 41.3882 + 16.2437i 1.72301 + 0.676233i 0.999895 0.0144906i \(-0.00461265\pi\)
0.723119 + 0.690724i \(0.242708\pi\)
\(578\) 8.16483 + 11.9756i 0.339612 + 0.498120i
\(579\) 12.7696 8.74774i 0.530687 0.363544i
\(580\) −2.95127 0.221167i −0.122545 0.00918345i
\(581\) −8.19334 + 27.7982i −0.339917 + 1.15326i
\(582\) −9.56786 + 42.3525i −0.396601 + 1.75557i
\(583\) −41.6852 + 20.0745i −1.72642 + 0.831402i
\(584\) −0.624231 + 0.192550i −0.0258309 + 0.00796777i
\(585\) −0.864228 + 5.91169i −0.0357314 + 0.244418i
\(586\) 1.61725 + 10.7298i 0.0668081 + 0.443243i
\(587\) −0.737985 1.27823i −0.0304599 0.0527581i 0.850394 0.526147i \(-0.176364\pi\)
−0.880854 + 0.473389i \(0.843031\pi\)
\(588\) −6.40867 + 17.7417i −0.264289 + 0.731655i
\(589\) 16.0420 27.7856i 0.661001 1.14489i
\(590\) −42.7491 16.7778i −1.75995 0.690731i
\(591\) −0.412289 2.69477i −0.0169593 0.110848i
\(592\) −30.5646 28.3598i −1.25620 1.16558i
\(593\) 3.22467 43.0303i 0.132422 1.76704i −0.396181 0.918173i \(-0.629665\pi\)
0.528602 0.848870i \(-0.322716\pi\)
\(594\) −39.4167 11.8717i −1.61729 0.487100i
\(595\) −0.629225 50.0467i −0.0257957 2.05171i
\(596\) 3.75791 5.51184i 0.153930 0.225774i
\(597\) 4.83376 10.0947i 0.197833 0.413147i
\(598\) −2.39216 + 4.96737i −0.0978227 + 0.203131i
\(599\) 28.8613 23.0161i 1.17924 0.940412i 0.180174 0.983635i \(-0.442334\pi\)
0.999065 + 0.0432232i \(0.0137626\pi\)
\(600\) 7.73507 11.3995i 0.315783 0.465384i
\(601\) 10.7900 + 4.23475i 0.440132 + 0.172739i 0.575051 0.818117i \(-0.304982\pi\)
−0.134919 + 0.990857i \(0.543077\pi\)
\(602\) 13.1103 9.18202i 0.534338 0.374231i
\(603\) −30.1804 + 9.45630i −1.22904 + 0.385090i
\(604\) −18.0898 + 12.3334i −0.736065 + 0.501841i
\(605\) −24.1974 7.46391i −0.983764 0.303451i
\(606\) 3.93212 + 4.21900i 0.159731 + 0.171385i
\(607\) −15.8240 + 9.13599i −0.642276 + 0.370818i −0.785491 0.618873i \(-0.787589\pi\)
0.143215 + 0.989692i \(0.454256\pi\)
\(608\) 42.4929 + 13.1073i 1.72331 + 0.531572i
\(609\) −1.65508 + 1.58188i −0.0670673 + 0.0641012i
\(610\) 27.3495 8.43619i 1.10735 0.341572i
\(611\) −1.57909 + 1.70186i −0.0638832 + 0.0688497i
\(612\) −17.0700 15.6982i −0.690013 0.634563i
\(613\) 22.7022 + 3.42181i 0.916934 + 0.138206i 0.590522 0.807022i \(-0.298922\pi\)
0.326413 + 0.945227i \(0.394160\pi\)
\(614\) −3.67829 + 16.1156i −0.148444 + 0.650375i
\(615\) −29.5338 + 51.4173i −1.19092 + 2.07334i
\(616\) −4.14442 8.33623i −0.166983 0.335876i
\(617\) 12.6206 40.9151i 0.508088 1.64718i −0.230536 0.973064i \(-0.574048\pi\)
0.738624 0.674118i \(-0.235476\pi\)
\(618\) 6.72297 + 29.1568i 0.270437 + 1.17286i
\(619\) 34.8340 + 20.1114i 1.40010 + 0.808346i 0.994402 0.105663i \(-0.0336965\pi\)
0.405694 + 0.914009i \(0.367030\pi\)
\(620\) 20.8461 + 22.4667i 0.837198 + 0.902285i
\(621\) −19.8972 21.1598i −0.798446 0.849112i
\(622\) −9.50939 7.58349i −0.381292 0.304070i
\(623\) −12.5735 + 3.03661i −0.503745 + 0.121659i
\(624\) −0.624088 + 4.20383i −0.0249835 + 0.168288i
\(625\) −12.9761 + 12.0400i −0.519043 + 0.481602i
\(626\) −11.5002 14.4208i −0.459641 0.576372i
\(627\) 9.94384 44.0168i 0.397119 1.75786i
\(628\) −0.904158 0.721042i −0.0360798 0.0287727i
\(629\) −39.7881 + 19.1610i −1.58646 + 0.763997i
\(630\) 13.6239 + 55.3343i 0.542790 + 2.20457i
\(631\) 5.34325 + 2.57318i 0.212712 + 0.102437i 0.537206 0.843451i \(-0.319480\pi\)
−0.324494 + 0.945888i \(0.605194\pi\)
\(632\) −2.04620 4.24897i −0.0813933 0.169015i
\(633\) −3.29486 5.67773i −0.130959 0.225670i
\(634\) −10.4365 + 5.02598i −0.414488 + 0.199607i
\(635\) 3.52824 8.98980i 0.140014 0.356750i
\(636\) 28.9181 6.66792i 1.14668 0.264400i
\(637\) 0.454507 3.63309i 0.0180082 0.143948i
\(638\) 3.95802i 0.156700i
\(639\) −46.2517 + 3.67259i −1.82969 + 0.145285i
\(640\) 14.0163 20.5582i 0.554044 0.812634i
\(641\) −27.9812 + 30.1566i −1.10519 + 1.19111i −0.125189 + 0.992133i \(0.539954\pi\)
−0.980003 + 0.198982i \(0.936237\pi\)
\(642\) 1.67335 4.29160i 0.0660417 0.169376i
\(643\) 11.5929 + 17.0036i 0.457178 + 0.670557i 0.983744 0.179577i \(-0.0574730\pi\)
−0.526566 + 0.850134i \(0.676521\pi\)
\(644\) −1.43092 + 22.9652i −0.0563861 + 0.904956i
\(645\) 7.68578 19.7116i 0.302627 0.776142i
\(646\) 36.2255 45.4253i 1.42527 1.78724i
\(647\) −0.661331 8.82484i −0.0259996 0.346940i −0.995000 0.0998795i \(-0.968154\pi\)
0.969000 0.247061i \(-0.0794648\pi\)
\(648\) −6.56110 3.71079i −0.257744 0.145774i
\(649\) −7.92093 + 25.6790i −0.310924 + 1.00799i
\(650\) 3.42204 8.71922i 0.134224 0.341996i
\(651\) 23.7065 0.350673i 0.929130 0.0137440i
\(652\) 0.787682 + 2.00698i 0.0308480 + 0.0785994i
\(653\) −4.21065 + 0.315545i −0.164775 + 0.0123482i −0.156862 0.987620i \(-0.550138\pi\)
−0.00791311 + 0.999969i \(0.502519\pi\)
\(654\) 13.9509 + 28.8057i 0.545525 + 1.12639i
\(655\) 13.9088 24.0908i 0.543463 0.941305i
\(656\) −21.0896 + 36.5283i −0.823411 + 1.42619i
\(657\) −0.359014 2.31222i −0.0140065 0.0902084i
\(658\) −7.83038 + 20.7135i −0.305260 + 0.807495i
\(659\) 11.5297 + 37.3783i 0.449132 + 1.45605i 0.843516 + 0.537104i \(0.180482\pi\)
−0.394384 + 0.918946i \(0.629042\pi\)
\(660\) 37.3790 + 21.4703i 1.45498 + 0.835732i
\(661\) −0.761629 0.607379i −0.0296239 0.0236243i 0.608566 0.793503i \(-0.291745\pi\)
−0.638190 + 0.769879i \(0.720317\pi\)
\(662\) −1.84619 1.47229i −0.0717544 0.0572222i
\(663\) 3.90324 + 2.24200i 0.151589 + 0.0870721i
\(664\) 2.70408 + 8.76641i 0.104939 + 0.340203i
\(665\) −59.4577 + 19.1621i −2.30567 + 0.743075i
\(666\) 39.1721 31.5242i 1.51789 1.22154i
\(667\) −1.39633 + 2.41852i −0.0540662 + 0.0936455i
\(668\) 1.07495 1.86186i 0.0415910 0.0720377i
\(669\) −17.6628 36.4699i −0.682882 1.41001i
\(670\) 75.4791 5.65637i 2.91601 0.218525i
\(671\) −6.11874 15.5903i −0.236211 0.601856i
\(672\) 7.78525 + 31.9252i 0.300322 + 1.23154i
\(673\) −0.502139 + 1.27943i −0.0193561 + 0.0493184i −0.940225 0.340554i \(-0.889386\pi\)
0.920869 + 0.389872i \(0.127481\pi\)
\(674\) 4.53439 14.7001i 0.174658 0.566228i
\(675\) 36.3954 + 33.3219i 1.40086 + 1.28256i
\(676\) −1.47969 19.7450i −0.0569110 0.759424i
\(677\) −28.6911 + 35.9775i −1.10269 + 1.38273i −0.186274 + 0.982498i \(0.559641\pi\)
−0.916415 + 0.400230i \(0.868930\pi\)
\(678\) 3.61048 9.25972i 0.138660 0.355617i
\(679\) −13.2606 32.5771i −0.508895 1.25020i
\(680\) −8.92517 13.0908i −0.342265 0.502010i
\(681\) −6.36130 + 16.3147i −0.243766 + 0.625180i
\(682\) 27.8790 30.0464i 1.06754 1.15054i
\(683\) −1.06270 + 1.55870i −0.0406632 + 0.0596419i −0.846032 0.533132i \(-0.821015\pi\)
0.805369 + 0.592774i \(0.201967\pi\)
\(684\) −12.4429 + 26.1341i −0.475767 + 0.999261i
\(685\) 39.4998i 1.50921i
\(686\) −9.04956 33.7307i −0.345514 1.28785i
\(687\) −10.2791 + 2.37015i −0.392173 + 0.0904270i
\(688\) 5.49829 14.0094i 0.209620 0.534104i
\(689\) −5.18979 + 2.49927i −0.197715 + 0.0952147i
\(690\) 34.8895 + 60.1218i 1.32822 + 2.28880i
\(691\) 15.9300 + 33.0789i 0.606005 + 1.25838i 0.947877 + 0.318635i \(0.103224\pi\)
−0.341873 + 0.939746i \(0.611061\pi\)
\(692\) 24.9736 + 12.0267i 0.949355 + 0.457185i
\(693\) 31.6934 10.3697i 1.20393 0.393912i
\(694\) −57.9424 + 27.9036i −2.19946 + 1.05920i
\(695\) −7.06397 5.63333i −0.267952 0.213684i
\(696\) −0.159703 + 0.706931i −0.00605352 + 0.0267961i
\(697\) 27.8541 + 34.9279i 1.05505 + 1.32299i
\(698\) 39.3069 36.4715i 1.48779 1.38047i
\(699\) 1.99506 13.4386i 0.0754601 0.508296i
\(700\) −0.491449 39.0884i −0.0185750 1.47740i
\(701\) 13.1075 + 10.4529i 0.495062 + 0.394799i 0.838947 0.544213i \(-0.183172\pi\)
−0.343885 + 0.939012i \(0.611743\pi\)
\(702\) −4.90737 1.47802i −0.185217 0.0557842i
\(703\) 37.4903 + 40.4050i 1.41397 + 1.52390i
\(704\) 15.0626 + 8.69642i 0.567695 + 0.327759i
\(705\) 6.57662 + 28.5221i 0.247690 + 1.07421i
\(706\) −3.01389 + 9.77080i −0.113429 + 0.367729i
\(707\) −4.56741 0.982238i −0.171775 0.0369409i
\(708\) 8.58534 14.9467i 0.322657 0.561733i
\(709\) −4.90669 + 21.4976i −0.184275 + 0.807360i 0.795290 + 0.606229i \(0.207319\pi\)
−0.979564 + 0.201131i \(0.935538\pi\)
\(710\) 109.799 + 16.5495i 4.12067 + 0.621091i
\(711\) 16.1198 5.05075i 0.604539 0.189418i
\(712\) −2.78507 + 3.00159i −0.104375 + 0.112489i
\(713\) 27.6352 8.52434i 1.03495 0.319239i
\(714\) 42.5453 + 5.77046i 1.59222 + 0.215954i
\(715\) −7.99518 2.46618i −0.299003 0.0922301i
\(716\) −2.06069 + 1.18974i −0.0770115 + 0.0444626i
\(717\) −20.6392 22.1450i −0.770785 0.827020i
\(718\) −25.5715 7.88775i −0.954318 0.294368i
\(719\) −37.0074 + 25.2312i −1.38014 + 0.940966i −0.380273 + 0.924874i \(0.624170\pi\)
−0.999871 + 0.0160911i \(0.994878\pi\)
\(720\) 39.4400 + 36.2705i 1.46984 + 1.35172i
\(721\) −17.9739 16.2617i −0.669384 0.605617i
\(722\) −34.1529 13.4040i −1.27104 0.498845i
\(723\) −14.1226 + 20.8131i −0.525225 + 0.774049i
\(724\) −12.1169 + 9.66293i −0.450322 + 0.359120i
\(725\) 2.05856 4.27464i 0.0764529 0.158756i
\(726\) 9.38148 19.5920i 0.348180 0.727126i
\(727\) −11.5301 + 16.9116i −0.427629 + 0.627217i −0.978223 0.207557i \(-0.933449\pi\)
0.550594 + 0.834773i \(0.314401\pi\)
\(728\) −0.515979 1.03786i −0.0191234 0.0384656i
\(729\) 16.5517 21.3317i 0.613025 0.790064i
\(730\) −0.418486 + 5.58430i −0.0154889 + 0.206684i
\(731\) −11.6849 10.8420i −0.432181 0.401005i
\(732\) 1.62467 + 10.6190i 0.0600496 + 0.392491i
\(733\) −5.20708 2.04363i −0.192328 0.0754831i 0.267222 0.963635i \(-0.413894\pi\)
−0.459550 + 0.888152i \(0.651989\pi\)
\(734\) −15.9713 + 27.6631i −0.589511 + 1.02106i
\(735\) −34.6860 30.4610i −1.27941 1.12357i
\(736\) 20.0416 + 34.7131i 0.738743 + 1.27954i
\(737\) −6.60131 43.7968i −0.243162 1.61328i
\(738\) −39.9086 31.5373i −1.46906 1.16091i
\(739\) −7.22921 + 2.22992i −0.265931 + 0.0820288i −0.424853 0.905262i \(-0.639674\pi\)
0.158922 + 0.987291i \(0.449198\pi\)
\(740\) −47.4379 + 22.8449i −1.74385 + 0.839794i
\(741\) 1.23800 5.48008i 0.0454792 0.201316i
\(742\) −36.8613 + 40.7426i −1.35322 + 1.49571i
\(743\) 47.2385 + 3.54003i 1.73301 + 0.129871i 0.903491 0.428607i \(-0.140995\pi\)
0.829519 + 0.558478i \(0.188614\pi\)
\(744\) 6.19174 4.24162i 0.227000 0.155505i
\(745\) 9.19624 + 13.4884i 0.336924 + 0.494177i
\(746\) −39.2496 15.4043i −1.43703 0.563993i
\(747\) −32.4718 + 5.04182i −1.18808 + 0.184471i
\(748\) 25.3917 20.2492i 0.928412 0.740384i
\(749\) 0.875975 + 3.62709i 0.0320074 + 0.132531i
\(750\) −31.6015 46.1306i −1.15392 1.68445i
\(751\) −1.06227 14.1750i −0.0387627 0.517252i −0.982464 0.186453i \(-0.940301\pi\)
0.943701 0.330799i \(-0.107318\pi\)
\(752\) 4.63316 + 20.2992i 0.168954 + 0.740235i
\(753\) 24.4948 + 7.49616i 0.892640 + 0.273175i
\(754\) 0.492772i 0.0179457i
\(755\) −11.9224 52.2355i −0.433901 1.90104i
\(756\) −21.2949 + 2.00827i −0.774489 + 0.0730400i
\(757\) 7.85378 34.4097i 0.285451 1.25064i −0.605245 0.796040i \(-0.706925\pi\)
0.890695 0.454601i \(-0.150218\pi\)
\(758\) −66.8698 15.2626i −2.42882 0.554363i
\(759\) 33.5571 22.9881i 1.21805 0.834415i
\(760\) −12.3295 + 15.4608i −0.447239 + 0.560820i
\(761\) 22.1479 6.83174i 0.802862 0.247650i 0.133947 0.990989i \(-0.457235\pi\)
0.668916 + 0.743338i \(0.266759\pi\)
\(762\) 7.18365 + 4.12626i 0.260236 + 0.149479i
\(763\) −22.6146 12.6802i −0.818703 0.459053i
\(764\) 5.19645 1.18606i 0.188001 0.0429100i
\(765\) 51.0221 24.8505i 1.84471 0.898472i
\(766\) 18.2316 10.5260i 0.658733 0.380320i
\(767\) −0.986153 + 3.19703i −0.0356079 + 0.115438i
\(768\) 26.2129 + 24.2140i 0.945876 + 0.873747i
\(769\) −0.742608 + 0.291452i −0.0267791 + 0.0105100i −0.378693 0.925522i \(-0.623626\pi\)
0.351914 + 0.936032i \(0.385531\pi\)
\(770\) −79.5014 + 6.96392i −2.86503 + 0.250962i
\(771\) −5.44916 + 6.86422i −0.196247 + 0.247209i
\(772\) −3.09392 13.5553i −0.111353 0.487867i