Properties

Label 74.2.f.b.49.2
Level $74$
Weight $2$
Character 74.49
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 49.2
Root \(2.20976 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 74.49
Dual form 74.2.f.b.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 - 0.642788i) q^{2} +(0.972925 + 0.816381i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.43969 + 0.524005i) q^{5} +1.27006 q^{6} +(-1.82850 + 0.665520i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.240839 - 1.36587i) q^{9} +O(q^{10})\) \(q+(0.766044 - 0.642788i) q^{2} +(0.972925 + 0.816381i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-1.43969 + 0.524005i) q^{5} +1.27006 q^{6} +(-1.82850 + 0.665520i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.240839 - 1.36587i) q^{9} +(-0.766044 + 1.32683i) q^{10} +(-0.220544 - 0.381994i) q^{11} +(0.972925 - 0.816381i) q^{12} +(-0.367592 + 2.08472i) q^{13} +(-0.972925 + 1.68516i) q^{14} +(-1.82850 - 0.665520i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-0.664245 - 3.76712i) q^{17} +(-1.06246 - 0.891507i) q^{18} +(4.55479 + 3.82192i) q^{19} +(0.266044 + 1.50881i) q^{20} +(-2.32231 - 0.845253i) q^{21} +(-0.414488 - 0.150861i) q^{22} +(-2.85558 + 4.94600i) q^{23} +(0.220544 - 1.25077i) q^{24} +(-2.03209 + 1.70513i) q^{25} +(1.05844 + 1.83327i) q^{26} +(2.78585 - 4.82523i) q^{27} +(0.337893 + 1.91629i) q^{28} +(-1.36712 - 2.36792i) q^{29} +(-1.82850 + 0.665520i) q^{30} +9.87516 q^{31} +(-0.939693 + 0.342020i) q^{32} +(0.0972795 - 0.551699i) q^{33} +(-2.93030 - 2.45881i) q^{34} +(2.28374 - 1.91629i) q^{35} -1.38694 q^{36} +(2.18831 - 5.67550i) q^{37} +5.94585 q^{38} +(-2.05956 + 1.72818i) q^{39} +(1.17365 + 0.984808i) q^{40} +(1.80615 - 10.2432i) q^{41} +(-2.32231 + 0.845253i) q^{42} +3.84681 q^{43} +(-0.414488 + 0.150861i) q^{44} +(1.06246 + 1.84023i) q^{45} +(0.991731 + 5.62439i) q^{46} +(-3.84316 + 6.65655i) q^{47} +(-0.635032 - 1.09991i) q^{48} +(-2.46181 + 2.06571i) q^{49} +(-0.460637 + 2.61240i) q^{50} +(2.42915 - 4.20740i) q^{51} +(1.98921 + 0.724014i) q^{52} +(-1.62561 - 0.591673i) q^{53} +(-0.967514 - 5.48704i) q^{54} +(0.517683 + 0.434387i) q^{55} +(1.49061 + 1.25077i) q^{56} +(1.31132 + 7.43688i) q^{57} +(-2.56934 - 0.935163i) q^{58} +(-1.93027 - 0.702561i) q^{59} +(-0.972925 + 1.68516i) q^{60} +(-1.89894 + 10.7694i) q^{61} +(7.56481 - 6.34763i) q^{62} +(1.34939 + 2.33721i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.563183 - 3.19397i) q^{65} +(-0.280105 - 0.485156i) q^{66} +(1.57261 - 0.572384i) q^{67} -3.82524 q^{68} +(-6.81608 + 2.48085i) q^{69} +(0.517683 - 2.93592i) q^{70} +(-7.70462 - 6.46494i) q^{71} +(-1.06246 + 0.891507i) q^{72} -9.88570 q^{73} +(-1.97180 - 5.75430i) q^{74} -3.36910 q^{75} +(4.55479 - 3.82192i) q^{76} +(0.657490 + 0.551699i) q^{77} +(-0.466865 + 2.64772i) q^{78} +(-12.5395 + 4.56401i) q^{79} +1.53209 q^{80} +(2.73975 - 0.997189i) q^{81} +(-5.20061 - 9.00771i) q^{82} +(0.617999 + 3.50484i) q^{83} +(-1.23568 + 2.14025i) q^{84} +(2.93030 + 5.07543i) q^{85} +(2.94683 - 2.47268i) q^{86} +(0.603020 - 3.41989i) q^{87} +(-0.220544 + 0.381994i) q^{88} +(11.1543 + 4.05982i) q^{89} +(1.99677 + 0.726763i) q^{90} +(-0.715278 - 4.05654i) q^{91} +(4.37500 + 3.67106i) q^{92} +(9.60779 + 8.06190i) q^{93} +(1.33472 + 7.56955i) q^{94} +(-8.56020 - 3.11566i) q^{95} +(-1.19347 - 0.434387i) q^{96} +(0.296748 - 0.513983i) q^{97} +(-0.558047 + 3.16484i) q^{98} +(-0.468637 + 0.393233i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 0.642788i 0.541675 0.454519i
\(3\) 0.972925 + 0.816381i 0.561719 + 0.471338i 0.878886 0.477032i \(-0.158287\pi\)
−0.317168 + 0.948370i \(0.602732\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −1.43969 + 0.524005i −0.643850 + 0.234342i −0.643248 0.765658i \(-0.722414\pi\)
−0.000601695 1.00000i \(0.500192\pi\)
\(6\) 1.27006 0.518501
\(7\) −1.82850 + 0.665520i −0.691108 + 0.251543i −0.663610 0.748079i \(-0.730976\pi\)
−0.0274987 + 0.999622i \(0.508754\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −0.240839 1.36587i −0.0802798 0.455289i
\(10\) −0.766044 + 1.32683i −0.242245 + 0.419580i
\(11\) −0.220544 0.381994i −0.0664966 0.115175i 0.830860 0.556481i \(-0.187849\pi\)
−0.897357 + 0.441306i \(0.854515\pi\)
\(12\) 0.972925 0.816381i 0.280859 0.235669i
\(13\) −0.367592 + 2.08472i −0.101952 + 0.578196i 0.890443 + 0.455095i \(0.150395\pi\)
−0.992394 + 0.123100i \(0.960716\pi\)
\(14\) −0.972925 + 1.68516i −0.260025 + 0.450377i
\(15\) −1.82850 0.665520i −0.472117 0.171837i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −0.664245 3.76712i −0.161103 0.913661i −0.952992 0.302996i \(-0.902013\pi\)
0.791889 0.610665i \(-0.209098\pi\)
\(18\) −1.06246 0.891507i −0.250423 0.210130i
\(19\) 4.55479 + 3.82192i 1.04494 + 0.876808i 0.992552 0.121819i \(-0.0388726\pi\)
0.0523871 + 0.998627i \(0.483317\pi\)
\(20\) 0.266044 + 1.50881i 0.0594893 + 0.337381i
\(21\) −2.32231 0.845253i −0.506770 0.184449i
\(22\) −0.414488 0.150861i −0.0883690 0.0321637i
\(23\) −2.85558 + 4.94600i −0.595429 + 1.03131i 0.398057 + 0.917360i \(0.369684\pi\)
−0.993486 + 0.113952i \(0.963649\pi\)
\(24\) 0.220544 1.25077i 0.0450184 0.255312i
\(25\) −2.03209 + 1.70513i −0.406418 + 0.341025i
\(26\) 1.05844 + 1.83327i 0.207577 + 0.359533i
\(27\) 2.78585 4.82523i 0.536136 0.928615i
\(28\) 0.337893 + 1.91629i 0.0638558 + 0.362144i
\(29\) −1.36712 2.36792i −0.253867 0.439711i 0.710720 0.703475i \(-0.248369\pi\)
−0.964587 + 0.263764i \(0.915036\pi\)
\(30\) −1.82850 + 0.665520i −0.333837 + 0.121507i
\(31\) 9.87516 1.77363 0.886816 0.462123i \(-0.152912\pi\)
0.886816 + 0.462123i \(0.152912\pi\)
\(32\) −0.939693 + 0.342020i −0.166116 + 0.0604612i
\(33\) 0.0972795 0.551699i 0.0169342 0.0960386i
\(34\) −2.93030 2.45881i −0.502542 0.421683i
\(35\) 2.28374 1.91629i 0.386023 0.323912i
\(36\) −1.38694 −0.231156
\(37\) 2.18831 5.67550i 0.359755 0.933047i
\(38\) 5.94585 0.964544
\(39\) −2.05956 + 1.72818i −0.329794 + 0.276730i
\(40\) 1.17365 + 0.984808i 0.185570 + 0.155712i
\(41\) 1.80615 10.2432i 0.282073 1.59972i −0.433482 0.901162i \(-0.642715\pi\)
0.715556 0.698556i \(-0.246174\pi\)
\(42\) −2.32231 + 0.845253i −0.358341 + 0.130425i
\(43\) 3.84681 0.586633 0.293317 0.956015i \(-0.405241\pi\)
0.293317 + 0.956015i \(0.405241\pi\)
\(44\) −0.414488 + 0.150861i −0.0624863 + 0.0227432i
\(45\) 1.06246 + 1.84023i 0.158382 + 0.274325i
\(46\) 0.991731 + 5.62439i 0.146223 + 0.829271i
\(47\) −3.84316 + 6.65655i −0.560582 + 0.970957i 0.436863 + 0.899528i \(0.356089\pi\)
−0.997446 + 0.0714293i \(0.977244\pi\)
\(48\) −0.635032 1.09991i −0.0916589 0.158758i
\(49\) −2.46181 + 2.06571i −0.351687 + 0.295101i
\(50\) −0.460637 + 2.61240i −0.0651439 + 0.369450i
\(51\) 2.42915 4.20740i 0.340148 0.589154i
\(52\) 1.98921 + 0.724014i 0.275854 + 0.100403i
\(53\) −1.62561 0.591673i −0.223295 0.0812726i 0.227950 0.973673i \(-0.426798\pi\)
−0.451245 + 0.892400i \(0.649020\pi\)
\(54\) −0.967514 5.48704i −0.131662 0.746692i
\(55\) 0.517683 + 0.434387i 0.0698043 + 0.0585728i
\(56\) 1.49061 + 1.25077i 0.199191 + 0.167141i
\(57\) 1.31132 + 7.43688i 0.173689 + 0.985039i
\(58\) −2.56934 0.935163i −0.337371 0.122793i
\(59\) −1.93027 0.702561i −0.251300 0.0914656i 0.213299 0.976987i \(-0.431579\pi\)
−0.464599 + 0.885521i \(0.653801\pi\)
\(60\) −0.972925 + 1.68516i −0.125604 + 0.217553i
\(61\) −1.89894 + 10.7694i −0.243134 + 1.37888i 0.581652 + 0.813437i \(0.302406\pi\)
−0.824786 + 0.565444i \(0.808705\pi\)
\(62\) 7.56481 6.34763i 0.960732 0.806150i
\(63\) 1.34939 + 2.33721i 0.170007 + 0.294460i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.563183 3.19397i −0.0698542 0.396163i
\(66\) −0.280105 0.485156i −0.0344786 0.0597186i
\(67\) 1.57261 0.572384i 0.192125 0.0699279i −0.244166 0.969734i \(-0.578514\pi\)
0.436291 + 0.899806i \(0.356292\pi\)
\(68\) −3.82524 −0.463878
\(69\) −6.81608 + 2.48085i −0.820560 + 0.298659i
\(70\) 0.517683 2.93592i 0.0618749 0.350910i
\(71\) −7.70462 6.46494i −0.914370 0.767248i 0.0585751 0.998283i \(-0.481344\pi\)
−0.972945 + 0.231035i \(0.925789\pi\)
\(72\) −1.06246 + 0.891507i −0.125212 + 0.105065i
\(73\) −9.88570 −1.15703 −0.578517 0.815671i \(-0.696368\pi\)
−0.578517 + 0.815671i \(0.696368\pi\)
\(74\) −1.97180 5.75430i −0.229217 0.668924i
\(75\) −3.36910 −0.389030
\(76\) 4.55479 3.82192i 0.522470 0.438404i
\(77\) 0.657490 + 0.551699i 0.0749279 + 0.0628720i
\(78\) −0.466865 + 2.64772i −0.0528620 + 0.299795i
\(79\) −12.5395 + 4.56401i −1.41081 + 0.513491i −0.931366 0.364084i \(-0.881382\pi\)
−0.479439 + 0.877575i \(0.659160\pi\)
\(80\) 1.53209 0.171293
\(81\) 2.73975 0.997189i 0.304417 0.110799i
\(82\) −5.20061 9.00771i −0.574311 0.994735i
\(83\) 0.617999 + 3.50484i 0.0678341 + 0.384707i 0.999757 + 0.0220497i \(0.00701920\pi\)
−0.931923 + 0.362657i \(0.881870\pi\)
\(84\) −1.23568 + 2.14025i −0.134823 + 0.233521i
\(85\) 2.93030 + 5.07543i 0.317836 + 0.550508i
\(86\) 2.94683 2.47268i 0.317765 0.266636i
\(87\) 0.603020 3.41989i 0.0646505 0.366651i
\(88\) −0.220544 + 0.381994i −0.0235101 + 0.0407207i
\(89\) 11.1543 + 4.05982i 1.18235 + 0.430340i 0.857031 0.515264i \(-0.172306\pi\)
0.325319 + 0.945604i \(0.394528\pi\)
\(90\) 1.99677 + 0.726763i 0.210478 + 0.0766076i
\(91\) −0.715278 4.05654i −0.0749815 0.425241i
\(92\) 4.37500 + 3.67106i 0.456125 + 0.382734i
\(93\) 9.60779 + 8.06190i 0.996282 + 0.835980i
\(94\) 1.33472 + 7.56955i 0.137665 + 0.780739i
\(95\) −8.56020 3.11566i −0.878258 0.319660i
\(96\) −1.19347 0.434387i −0.121808 0.0443345i
\(97\) 0.296748 0.513983i 0.0301302 0.0521871i −0.850567 0.525867i \(-0.823741\pi\)
0.880697 + 0.473679i \(0.157074\pi\)
\(98\) −0.558047 + 3.16484i −0.0563713 + 0.319698i
\(99\) −0.468637 + 0.393233i −0.0470998 + 0.0395214i
\(100\) 1.32635 + 2.29731i 0.132635 + 0.229731i
\(101\) 6.61396 11.4557i 0.658113 1.13989i −0.322990 0.946402i \(-0.604688\pi\)
0.981104 0.193483i \(-0.0619785\pi\)
\(102\) −0.843634 4.78448i −0.0835322 0.473734i
\(103\) 1.57500 + 2.72797i 0.155189 + 0.268795i 0.933128 0.359545i \(-0.117068\pi\)
−0.777939 + 0.628340i \(0.783735\pi\)
\(104\) 1.98921 0.724014i 0.195058 0.0709954i
\(105\) 3.78633 0.369508
\(106\) −1.62561 + 0.591673i −0.157893 + 0.0574684i
\(107\) −0.643654 + 3.65035i −0.0622244 + 0.352892i 0.937760 + 0.347284i \(0.112896\pi\)
−0.999984 + 0.00560785i \(0.998215\pi\)
\(108\) −4.26816 3.58141i −0.410704 0.344622i
\(109\) 11.4667 9.62169i 1.09831 0.921591i 0.100999 0.994887i \(-0.467796\pi\)
0.997310 + 0.0732954i \(0.0233516\pi\)
\(110\) 0.675787 0.0644337
\(111\) 6.76243 3.73535i 0.641861 0.354543i
\(112\) 1.94585 0.183866
\(113\) −15.2648 + 12.8087i −1.43599 + 1.20494i −0.493929 + 0.869502i \(0.664440\pi\)
−0.942062 + 0.335438i \(0.891116\pi\)
\(114\) 5.78487 + 4.85408i 0.541802 + 0.454626i
\(115\) 1.51942 8.61706i 0.141687 0.803545i
\(116\) −2.56934 + 0.935163i −0.238557 + 0.0868277i
\(117\) 2.93598 0.271431
\(118\) −1.93027 + 0.702561i −0.177696 + 0.0646759i
\(119\) 3.72167 + 6.44612i 0.341165 + 0.590915i
\(120\) 0.337893 + 1.91629i 0.0308453 + 0.174932i
\(121\) 5.40272 9.35779i 0.491156 0.850708i
\(122\) 5.46777 + 9.47046i 0.495029 + 0.857415i
\(123\) 10.1196 8.49135i 0.912454 0.765639i
\(124\) 1.71480 9.72514i 0.153994 0.873343i
\(125\) 5.86231 10.1538i 0.524341 0.908185i
\(126\) 2.53602 + 0.923035i 0.225927 + 0.0822305i
\(127\) −4.60748 1.67699i −0.408848 0.148808i 0.129405 0.991592i \(-0.458693\pi\)
−0.538253 + 0.842783i \(0.680916\pi\)
\(128\) 0.173648 + 0.984808i 0.0153485 + 0.0870455i
\(129\) 3.74266 + 3.14046i 0.329523 + 0.276502i
\(130\) −2.48447 2.08472i −0.217902 0.182842i
\(131\) 0.0536454 + 0.304238i 0.00468702 + 0.0265814i 0.987062 0.160342i \(-0.0512596\pi\)
−0.982375 + 0.186923i \(0.940148\pi\)
\(132\) −0.526426 0.191603i −0.0458195 0.0166769i
\(133\) −10.8720 3.95708i −0.942721 0.343123i
\(134\) 0.836770 1.44933i 0.0722859 0.125203i
\(135\) −1.48232 + 8.40664i −0.127578 + 0.723528i
\(136\) −2.93030 + 2.45881i −0.251271 + 0.210842i
\(137\) 10.1508 + 17.5818i 0.867245 + 1.50211i 0.864801 + 0.502115i \(0.167444\pi\)
0.00244359 + 0.999997i \(0.499222\pi\)
\(138\) −3.62676 + 6.28174i −0.308731 + 0.534737i
\(139\) −2.28137 12.9383i −0.193503 1.09741i −0.914534 0.404508i \(-0.867443\pi\)
0.721031 0.692903i \(-0.243668\pi\)
\(140\) −1.49061 2.58181i −0.125979 0.218203i
\(141\) −9.17339 + 3.33884i −0.772538 + 0.281181i
\(142\) −10.0577 −0.844021
\(143\) 0.877418 0.319354i 0.0733734 0.0267057i
\(144\) −0.240839 + 1.36587i −0.0200699 + 0.113822i
\(145\) 3.20903 + 2.69270i 0.266495 + 0.223616i
\(146\) −7.57288 + 6.35440i −0.626736 + 0.525894i
\(147\) −4.08156 −0.336641
\(148\) −5.20928 3.14060i −0.428200 0.258156i
\(149\) −3.98826 −0.326731 −0.163366 0.986566i \(-0.552235\pi\)
−0.163366 + 0.986566i \(0.552235\pi\)
\(150\) −2.58088 + 2.16562i −0.210728 + 0.176822i
\(151\) −15.0525 12.6306i −1.22496 1.02786i −0.998550 0.0538298i \(-0.982857\pi\)
−0.226408 0.974032i \(-0.572698\pi\)
\(152\) 1.03249 5.85552i 0.0837457 0.474945i
\(153\) −4.98541 + 1.81454i −0.403047 + 0.146697i
\(154\) 0.858292 0.0691631
\(155\) −14.2172 + 5.17464i −1.14195 + 0.415637i
\(156\) 1.34428 + 2.32837i 0.107629 + 0.186419i
\(157\) 1.58561 + 8.99242i 0.126545 + 0.717674i 0.980378 + 0.197126i \(0.0631609\pi\)
−0.853833 + 0.520547i \(0.825728\pi\)
\(158\) −6.67213 + 11.5565i −0.530807 + 0.919384i
\(159\) −1.09856 1.90277i −0.0871218 0.150899i
\(160\) 1.17365 0.984808i 0.0927850 0.0778559i
\(161\) 1.92976 10.9442i 0.152086 0.862525i
\(162\) 1.45779 2.52497i 0.114535 0.198380i
\(163\) 1.76208 + 0.641343i 0.138016 + 0.0502339i 0.410105 0.912038i \(-0.365492\pi\)
−0.272088 + 0.962272i \(0.587714\pi\)
\(164\) −9.77394 3.55742i −0.763217 0.277788i
\(165\) 0.149041 + 0.845253i 0.0116028 + 0.0658028i
\(166\) 2.72628 + 2.28762i 0.211601 + 0.177554i
\(167\) 3.52918 + 2.96133i 0.273096 + 0.229155i 0.769041 0.639199i \(-0.220734\pi\)
−0.495945 + 0.868354i \(0.665178\pi\)
\(168\) 0.429146 + 2.43381i 0.0331093 + 0.187772i
\(169\) 8.00509 + 2.91361i 0.615776 + 0.224124i
\(170\) 5.50716 + 2.00444i 0.422380 + 0.153734i
\(171\) 4.12326 7.14170i 0.315314 0.546140i
\(172\) 0.667992 3.78837i 0.0509339 0.288860i
\(173\) −11.5656 + 9.70473i −0.879320 + 0.737837i −0.966039 0.258396i \(-0.916806\pi\)
0.0867194 + 0.996233i \(0.472362\pi\)
\(174\) −1.73633 3.00740i −0.131631 0.227991i
\(175\) 2.58088 4.47022i 0.195096 0.337917i
\(176\) 0.0765942 + 0.434387i 0.00577351 + 0.0327432i
\(177\) −1.30445 2.25937i −0.0980485 0.169825i
\(178\) 11.1543 4.05982i 0.836048 0.304296i
\(179\) 20.1143 1.50342 0.751708 0.659496i \(-0.229230\pi\)
0.751708 + 0.659496i \(0.229230\pi\)
\(180\) 1.99677 0.726763i 0.148830 0.0541697i
\(181\) 1.61762 9.17397i 0.120237 0.681896i −0.863787 0.503857i \(-0.831914\pi\)
0.984024 0.178038i \(-0.0569751\pi\)
\(182\) −3.15543 2.64772i −0.233896 0.196262i
\(183\) −10.6395 + 8.92757i −0.786492 + 0.659945i
\(184\) 5.71115 0.421032
\(185\) −0.176496 + 9.31766i −0.0129763 + 0.685048i
\(186\) 12.5421 0.919630
\(187\) −1.29252 + 1.08455i −0.0945185 + 0.0793105i
\(188\) 5.88806 + 4.94067i 0.429431 + 0.360335i
\(189\) −1.88264 + 10.6770i −0.136942 + 0.776635i
\(190\) −8.56020 + 3.11566i −0.621022 + 0.226034i
\(191\) −10.6491 −0.770541 −0.385271 0.922804i \(-0.625892\pi\)
−0.385271 + 0.922804i \(0.625892\pi\)
\(192\) −1.19347 + 0.434387i −0.0861312 + 0.0313492i
\(193\) −6.12636 10.6112i −0.440985 0.763809i 0.556778 0.830662i \(-0.312038\pi\)
−0.997763 + 0.0668528i \(0.978704\pi\)
\(194\) −0.103060 0.584480i −0.00739925 0.0419632i
\(195\) 2.05956 3.56726i 0.147488 0.255457i
\(196\) 1.60683 + 2.78312i 0.114774 + 0.198794i
\(197\) 12.3511 10.3638i 0.879978 0.738389i −0.0861968 0.996278i \(-0.527471\pi\)
0.966175 + 0.257889i \(0.0830269\pi\)
\(198\) −0.106231 + 0.602469i −0.00754954 + 0.0428156i
\(199\) 0.995370 1.72403i 0.0705599 0.122213i −0.828587 0.559860i \(-0.810855\pi\)
0.899147 + 0.437647i \(0.144188\pi\)
\(200\) 2.49273 + 0.907278i 0.176262 + 0.0641542i
\(201\) 1.99732 + 0.726964i 0.140880 + 0.0512761i
\(202\) −2.29700 13.0270i −0.161617 0.916573i
\(203\) 4.07567 + 3.41989i 0.286056 + 0.240030i
\(204\) −3.72167 3.12285i −0.260569 0.218643i
\(205\) 2.76718 + 15.6935i 0.193269 + 1.09608i
\(206\) 2.96003 + 1.07736i 0.206235 + 0.0750633i
\(207\) 7.44332 + 2.70915i 0.517347 + 0.188299i
\(208\) 1.05844 1.83327i 0.0733894 0.127114i
\(209\) 0.455418 2.58280i 0.0315019 0.178656i
\(210\) 2.90050 2.43381i 0.200153 0.167949i
\(211\) 6.30255 + 10.9163i 0.433885 + 0.751512i 0.997204 0.0747282i \(-0.0238089\pi\)
−0.563319 + 0.826240i \(0.690476\pi\)
\(212\) −0.864968 + 1.49817i −0.0594063 + 0.102895i
\(213\) −2.21816 12.5798i −0.151986 0.861955i
\(214\) 1.85333 + 3.21006i 0.126691 + 0.219435i
\(215\) −5.53823 + 2.01575i −0.377704 + 0.137473i
\(216\) −5.57169 −0.379106
\(217\) −18.0567 + 6.57212i −1.22577 + 0.446144i
\(218\) 2.59929 14.7413i 0.176046 0.998406i
\(219\) −9.61804 8.07049i −0.649927 0.545353i
\(220\) 0.517683 0.434387i 0.0349022 0.0292864i
\(221\) 8.09755 0.544700
\(222\) 2.77929 7.20825i 0.186534 0.483786i
\(223\) 20.3949 1.36575 0.682873 0.730538i \(-0.260730\pi\)
0.682873 + 0.730538i \(0.260730\pi\)
\(224\) 1.49061 1.25077i 0.0995954 0.0835705i
\(225\) 2.81838 + 2.36490i 0.187892 + 0.157660i
\(226\) −3.46025 + 19.6240i −0.230172 + 1.30537i
\(227\) 7.11595 2.58999i 0.472302 0.171904i −0.0948927 0.995488i \(-0.530251\pi\)
0.567195 + 0.823584i \(0.308029\pi\)
\(228\) 7.55161 0.500117
\(229\) 0.294030 0.107018i 0.0194301 0.00707197i −0.332287 0.943178i \(-0.607820\pi\)
0.351717 + 0.936106i \(0.385598\pi\)
\(230\) −4.37500 7.57772i −0.288479 0.499660i
\(231\) 0.189291 + 1.07352i 0.0124545 + 0.0706327i
\(232\) −1.36712 + 2.36792i −0.0897557 + 0.155461i
\(233\) 0.341583 + 0.591640i 0.0223779 + 0.0387596i 0.876997 0.480495i \(-0.159543\pi\)
−0.854620 + 0.519255i \(0.826210\pi\)
\(234\) 2.24909 1.88721i 0.147027 0.123371i
\(235\) 2.04490 11.5972i 0.133395 0.756519i
\(236\) −1.02707 + 1.77895i −0.0668569 + 0.115800i
\(237\) −15.9260 5.79658i −1.03450 0.376528i
\(238\) 6.99445 + 2.54577i 0.453383 + 0.165018i
\(239\) 1.94597 + 11.0361i 0.125874 + 0.713869i 0.980785 + 0.195093i \(0.0625009\pi\)
−0.854910 + 0.518776i \(0.826388\pi\)
\(240\) 1.49061 + 1.25077i 0.0962183 + 0.0807368i
\(241\) −3.96856 3.33002i −0.255638 0.214505i 0.505958 0.862558i \(-0.331139\pi\)
−0.761595 + 0.648053i \(0.775584\pi\)
\(242\) −1.87635 10.6413i −0.120616 0.684048i
\(243\) −12.2274 4.45040i −0.784386 0.285493i
\(244\) 10.2761 + 3.74018i 0.657857 + 0.239440i
\(245\) 2.46181 4.26398i 0.157279 0.272416i
\(246\) 2.29393 13.0095i 0.146255 0.829456i
\(247\) −9.64191 + 8.09052i −0.613500 + 0.514788i
\(248\) −4.93758 8.55214i −0.313537 0.543062i
\(249\) −2.26002 + 3.91447i −0.143223 + 0.248070i
\(250\) −2.03596 11.5465i −0.128765 0.730265i
\(251\) 15.2460 + 26.4069i 0.962321 + 1.66679i 0.716646 + 0.697437i \(0.245676\pi\)
0.245675 + 0.969352i \(0.420991\pi\)
\(252\) 2.53602 0.923035i 0.159754 0.0581458i
\(253\) 2.51912 0.158376
\(254\) −4.60748 + 1.67699i −0.289099 + 0.105223i
\(255\) −1.29252 + 7.33025i −0.0809408 + 0.459038i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 4.49488 3.77165i 0.280383 0.235269i −0.491741 0.870742i \(-0.663639\pi\)
0.772123 + 0.635473i \(0.219195\pi\)
\(258\) 4.88570 0.304170
\(259\) −0.224162 + 11.8340i −0.0139287 + 0.735330i
\(260\) −3.24324 −0.201137
\(261\) −2.90501 + 2.43759i −0.179815 + 0.150883i
\(262\) 0.236655 + 0.198577i 0.0146206 + 0.0122681i
\(263\) 2.83262 16.0646i 0.174667 0.990586i −0.763861 0.645381i \(-0.776698\pi\)
0.938528 0.345204i \(-0.112190\pi\)
\(264\) −0.526426 + 0.191603i −0.0323993 + 0.0117924i
\(265\) 2.65042 0.162814
\(266\) −10.8720 + 3.95708i −0.666605 + 0.242624i
\(267\) 7.53791 + 13.0560i 0.461312 + 0.799016i
\(268\) −0.290607 1.64812i −0.0177517 0.100675i
\(269\) 5.00302 8.66548i 0.305039 0.528344i −0.672231 0.740342i \(-0.734664\pi\)
0.977270 + 0.211998i \(0.0679970\pi\)
\(270\) 4.26816 + 7.39267i 0.259752 + 0.449904i
\(271\) −9.47356 + 7.94926i −0.575478 + 0.482883i −0.883459 0.468509i \(-0.844791\pi\)
0.307981 + 0.951393i \(0.400347\pi\)
\(272\) −0.664245 + 3.76712i −0.0402758 + 0.228415i
\(273\) 2.61577 4.53065i 0.158314 0.274208i
\(274\) 19.0773 + 6.94358i 1.15250 + 0.419477i
\(275\) 1.09951 + 0.400190i 0.0663031 + 0.0241324i
\(276\) 1.25956 + 7.14333i 0.0758167 + 0.429978i
\(277\) −16.2756 13.6568i −0.977905 0.820559i 0.00586739 0.999983i \(-0.498132\pi\)
−0.983772 + 0.179423i \(0.942577\pi\)
\(278\) −10.0642 8.44487i −0.603611 0.506489i
\(279\) −2.37833 13.4882i −0.142387 0.807515i
\(280\) −2.80143 1.01964i −0.167417 0.0609349i
\(281\) −15.2217 5.54025i −0.908052 0.330504i −0.154577 0.987981i \(-0.549401\pi\)
−0.753475 + 0.657477i \(0.771624\pi\)
\(282\) −4.88106 + 8.45424i −0.290663 + 0.503443i
\(283\) −0.866198 + 4.91245i −0.0514901 + 0.292015i −0.999669 0.0257216i \(-0.991812\pi\)
0.948179 + 0.317737i \(0.102923\pi\)
\(284\) −7.70462 + 6.46494i −0.457185 + 0.383624i
\(285\) −5.78487 10.0197i −0.342666 0.593515i
\(286\) 0.466865 0.808633i 0.0276063 0.0478155i
\(287\) 3.51450 + 19.9317i 0.207454 + 1.17653i
\(288\) 0.693469 + 1.20112i 0.0408631 + 0.0707769i
\(289\) 2.22479 0.809758i 0.130870 0.0476328i
\(290\) 4.18909 0.245992
\(291\) 0.708320 0.257807i 0.0415224 0.0151129i
\(292\) −1.71663 + 9.73551i −0.100458 + 0.569728i
\(293\) 4.25093 + 3.56696i 0.248342 + 0.208384i 0.758458 0.651722i \(-0.225953\pi\)
−0.510116 + 0.860106i \(0.670397\pi\)
\(294\) −3.12666 + 2.62358i −0.182350 + 0.153010i
\(295\) 3.14714 0.183234
\(296\) −6.00928 + 0.942621i −0.349282 + 0.0547888i
\(297\) −2.45761 −0.142605
\(298\) −3.05519 + 2.56361i −0.176982 + 0.148506i
\(299\) −9.26132 7.77117i −0.535596 0.449418i
\(300\) −0.585038 + 3.31792i −0.0337772 + 0.191560i
\(301\) −7.03390 + 2.56013i −0.405427 + 0.147563i
\(302\) −19.6497 −1.13071
\(303\) 15.7871 5.74604i 0.906946 0.330101i
\(304\) −2.97293 5.14926i −0.170509 0.295330i
\(305\) −2.90934 16.4997i −0.166588 0.944770i
\(306\) −2.65268 + 4.59458i −0.151644 + 0.262655i
\(307\) −7.58074 13.1302i −0.432656 0.749382i 0.564445 0.825470i \(-0.309090\pi\)
−0.997101 + 0.0760888i \(0.975757\pi\)
\(308\) 0.657490 0.551699i 0.0374640 0.0314360i
\(309\) −0.694713 + 3.93991i −0.0395208 + 0.224134i
\(310\) −7.56481 + 13.1026i −0.429653 + 0.744180i
\(311\) −14.2914 5.20165i −0.810392 0.294959i −0.0966062 0.995323i \(-0.530799\pi\)
−0.713786 + 0.700364i \(0.753021\pi\)
\(312\) 2.52643 + 0.919544i 0.143031 + 0.0520589i
\(313\) 5.06559 + 28.7284i 0.286324 + 1.62382i 0.700517 + 0.713636i \(0.252953\pi\)
−0.414193 + 0.910189i \(0.635936\pi\)
\(314\) 6.99486 + 5.86939i 0.394743 + 0.331229i
\(315\) −3.16741 2.65777i −0.178463 0.149749i
\(316\) 2.31721 + 13.1415i 0.130353 + 0.739269i
\(317\) 18.0323 + 6.56322i 1.01279 + 0.368627i 0.794505 0.607257i \(-0.207730\pi\)
0.218289 + 0.975884i \(0.429952\pi\)
\(318\) −2.06463 0.751462i −0.115778 0.0421399i
\(319\) −0.603020 + 1.04446i −0.0337626 + 0.0584786i
\(320\) 0.266044 1.50881i 0.0148723 0.0843452i
\(321\) −3.60630 + 3.02605i −0.201284 + 0.168897i
\(322\) −5.55652 9.62418i −0.309653 0.536335i
\(323\) 11.3721 19.6971i 0.632763 1.09598i
\(324\) −0.506286 2.87129i −0.0281270 0.159516i
\(325\) −2.80772 4.86312i −0.155744 0.269757i
\(326\) 1.76208 0.641343i 0.0975924 0.0355207i
\(327\) 19.0112 1.05132
\(328\) −9.77394 + 3.55742i −0.539676 + 0.196426i
\(329\) 2.59716 14.7292i 0.143186 0.812047i
\(330\) 0.657490 + 0.551699i 0.0361936 + 0.0303701i
\(331\) −6.00049 + 5.03501i −0.329817 + 0.276749i −0.792625 0.609709i \(-0.791286\pi\)
0.462808 + 0.886458i \(0.346842\pi\)
\(332\) 3.55891 0.195321
\(333\) −8.27902 1.62205i −0.453687 0.0888880i
\(334\) 4.60701 0.252085
\(335\) −1.96415 + 1.64812i −0.107313 + 0.0900461i
\(336\) 1.89317 + 1.58856i 0.103281 + 0.0866628i
\(337\) 3.41476 19.3661i 0.186014 1.05494i −0.738632 0.674109i \(-0.764528\pi\)
0.924646 0.380828i \(-0.124361\pi\)
\(338\) 8.00509 2.91361i 0.435420 0.158480i
\(339\) −25.3083 −1.37456
\(340\) 5.50716 2.00444i 0.298668 0.108706i
\(341\) −2.17791 3.77225i −0.117940 0.204279i
\(342\) −1.43199 8.12125i −0.0774334 0.439147i
\(343\) 9.93713 17.2116i 0.536555 0.929340i
\(344\) −1.92341 3.33144i −0.103703 0.179619i
\(345\) 8.51309 7.14333i 0.458329 0.384584i
\(346\) −2.62172 + 14.8685i −0.140944 + 0.799336i
\(347\) −10.7822 + 18.6753i −0.578817 + 1.00254i 0.416798 + 0.908999i \(0.363152\pi\)
−0.995615 + 0.0935416i \(0.970181\pi\)
\(348\) −3.26323 1.18772i −0.174927 0.0636683i
\(349\) 25.2549 + 9.19201i 1.35186 + 0.492037i 0.913528 0.406775i \(-0.133347\pi\)
0.438333 + 0.898813i \(0.355569\pi\)
\(350\) −0.896331 5.08335i −0.0479109 0.271716i
\(351\) 9.03517 + 7.58141i 0.482262 + 0.404666i
\(352\) 0.337893 + 0.283526i 0.0180098 + 0.0151120i
\(353\) −2.28842 12.9783i −0.121800 0.690763i −0.983157 0.182763i \(-0.941496\pi\)
0.861357 0.508000i \(-0.169615\pi\)
\(354\) −2.45156 0.892297i −0.130299 0.0474250i
\(355\) 14.4800 + 5.27027i 0.768516 + 0.279717i
\(356\) 5.93506 10.2798i 0.314558 0.544830i
\(357\) −1.64158 + 9.30989i −0.0868819 + 0.492732i
\(358\) 15.4085 12.9293i 0.814364 0.683332i
\(359\) −1.69284 2.93209i −0.0893448 0.154750i 0.817890 0.575375i \(-0.195144\pi\)
−0.907234 + 0.420626i \(0.861811\pi\)
\(360\) 1.06246 1.84023i 0.0559964 0.0969886i
\(361\) 2.83969 + 16.1047i 0.149457 + 0.847615i
\(362\) −4.65774 8.06745i −0.244806 0.424016i
\(363\) 12.8960 4.69375i 0.676862 0.246358i
\(364\) −4.11912 −0.215901
\(365\) 14.2324 5.18016i 0.744956 0.271142i
\(366\) −2.41177 + 13.6778i −0.126065 + 0.714952i
\(367\) 5.05350 + 4.24039i 0.263790 + 0.221347i 0.765083 0.643931i \(-0.222698\pi\)
−0.501293 + 0.865278i \(0.667142\pi\)
\(368\) 4.37500 3.67106i 0.228062 0.191367i
\(369\) −14.4258 −0.750979
\(370\) 5.85407 + 7.25119i 0.304339 + 0.376972i
\(371\) 3.36620 0.174764
\(372\) 9.60779 8.06190i 0.498141 0.417990i
\(373\) 0.809650 + 0.679377i 0.0419221 + 0.0351768i 0.663508 0.748169i \(-0.269067\pi\)
−0.621586 + 0.783346i \(0.713511\pi\)
\(374\) −0.292991 + 1.66163i −0.0151502 + 0.0859210i
\(375\) 13.9930 5.09303i 0.722594 0.263003i
\(376\) 7.68632 0.396392
\(377\) 5.43897 1.97962i 0.280121 0.101956i
\(378\) 5.42084 + 9.38917i 0.278818 + 0.482927i
\(379\) 3.85749 + 21.8769i 0.198146 + 1.12374i 0.907867 + 0.419258i \(0.137710\pi\)
−0.709721 + 0.704482i \(0.751179\pi\)
\(380\) −4.55479 + 7.88912i −0.233656 + 0.404703i
\(381\) −3.11368 5.39304i −0.159518 0.276294i
\(382\) −8.15768 + 6.84510i −0.417383 + 0.350226i
\(383\) 1.62312 9.20517i 0.0829375 0.470362i −0.914845 0.403805i \(-0.867687\pi\)
0.997783 0.0665572i \(-0.0212015\pi\)
\(384\) −0.635032 + 1.09991i −0.0324063 + 0.0561294i
\(385\) −1.23568 0.449750i −0.0629759 0.0229214i
\(386\) −11.5138 4.19068i −0.586037 0.213300i
\(387\) −0.926464 5.25424i −0.0470948 0.267088i
\(388\) −0.454645 0.381492i −0.0230811 0.0193673i
\(389\) 1.85358 + 1.55534i 0.0939804 + 0.0788589i 0.688567 0.725172i \(-0.258240\pi\)
−0.594587 + 0.804031i \(0.702684\pi\)
\(390\) −0.715278 4.05654i −0.0362195 0.205411i
\(391\) 20.5290 + 7.47194i 1.03820 + 0.377872i
\(392\) 3.01986 + 1.09914i 0.152526 + 0.0555149i
\(393\) −0.196181 + 0.339796i −0.00989603 + 0.0171404i
\(394\) 2.79976 15.8782i 0.141050 0.799934i
\(395\) 15.6615 13.1415i 0.788014 0.661223i
\(396\) 0.305881 + 0.529802i 0.0153711 + 0.0266235i
\(397\) −9.85205 + 17.0643i −0.494460 + 0.856430i −0.999980 0.00638497i \(-0.997968\pi\)
0.505519 + 0.862815i \(0.331301\pi\)
\(398\) −0.345688 1.96050i −0.0173278 0.0982707i
\(399\) −7.34715 12.7256i −0.367817 0.637079i
\(400\) 2.49273 0.907278i 0.124636 0.0453639i
\(401\) −29.2178 −1.45907 −0.729534 0.683944i \(-0.760263\pi\)
−0.729534 + 0.683944i \(0.760263\pi\)
\(402\) 1.99732 0.726964i 0.0996172 0.0362577i
\(403\) −3.63003 + 20.5869i −0.180824 + 1.02551i
\(404\) −10.1332 8.50274i −0.504144 0.423027i
\(405\) −3.42187 + 2.87129i −0.170034 + 0.142676i
\(406\) 5.32041 0.264048
\(407\) −2.65062 + 0.415779i −0.131387 + 0.0206094i
\(408\) −4.85829 −0.240521
\(409\) −2.89098 + 2.42582i −0.142950 + 0.119949i −0.711458 0.702728i \(-0.751965\pi\)
0.568509 + 0.822677i \(0.307521\pi\)
\(410\) 12.2074 + 10.2432i 0.602879 + 0.505875i
\(411\) −4.47742 + 25.3927i −0.220855 + 1.25253i
\(412\) 2.96003 1.07736i 0.145830 0.0530778i
\(413\) 3.99707 0.196683
\(414\) 7.44332 2.70915i 0.365819 0.133147i
\(415\) −2.72628 4.72206i −0.133828 0.231797i
\(416\) −0.367592 2.08472i −0.0180227 0.102212i
\(417\) 8.34297 14.4504i 0.408557 0.707642i
\(418\) −1.31132 2.27128i −0.0641389 0.111092i
\(419\) −27.7696 + 23.3015i −1.35663 + 1.13835i −0.379629 + 0.925139i \(0.623948\pi\)
−0.977006 + 0.213213i \(0.931607\pi\)
\(420\) 0.657490 3.72881i 0.0320822 0.181947i
\(421\) −8.08913 + 14.0108i −0.394240 + 0.682844i −0.993004 0.118082i \(-0.962325\pi\)
0.598764 + 0.800926i \(0.295659\pi\)
\(422\) 11.8449 + 4.31120i 0.576602 + 0.209866i
\(423\) 10.0175 + 3.64609i 0.487070 + 0.177279i
\(424\) 0.300400 + 1.70365i 0.0145887 + 0.0827368i
\(425\) 7.77322 + 6.52250i 0.377056 + 0.316388i
\(426\) −9.78536 8.21089i −0.474102 0.397819i
\(427\) −3.69505 20.9557i −0.178816 1.01412i
\(428\) 3.48312 + 1.26775i 0.168363 + 0.0612791i
\(429\) 1.11438 + 0.405600i 0.0538026 + 0.0195826i
\(430\) −2.94683 + 5.10406i −0.142109 + 0.246139i
\(431\) 3.59966 20.4147i 0.173390 0.983342i −0.766596 0.642129i \(-0.778051\pi\)
0.939986 0.341213i \(-0.110838\pi\)
\(432\) −4.26816 + 3.58141i −0.205352 + 0.172311i
\(433\) −13.3927 23.1968i −0.643611 1.11477i −0.984621 0.174707i \(-0.944102\pi\)
0.341010 0.940060i \(-0.389231\pi\)
\(434\) −9.60779 + 16.6412i −0.461189 + 0.798803i
\(435\) 0.923880 + 5.23958i 0.0442966 + 0.251219i
\(436\) −7.48435 12.9633i −0.358435 0.620828i
\(437\) −31.9098 + 11.6142i −1.52645 + 0.555583i
\(438\) −12.5555 −0.599923
\(439\) 7.88952 2.87155i 0.376546 0.137052i −0.146812 0.989164i \(-0.546901\pi\)
0.523358 + 0.852113i \(0.324679\pi\)
\(440\) 0.117349 0.665520i 0.00559440 0.0317274i
\(441\) 3.41438 + 2.86501i 0.162590 + 0.136429i
\(442\) 6.20308 5.20500i 0.295050 0.247577i
\(443\) −19.6599 −0.934068 −0.467034 0.884239i \(-0.654677\pi\)
−0.467034 + 0.884239i \(0.654677\pi\)
\(444\) −2.50431 7.30833i −0.118849 0.346838i
\(445\) −18.1861 −0.862103
\(446\) 15.6234 13.1096i 0.739790 0.620758i
\(447\) −3.88028 3.25594i −0.183531 0.154001i
\(448\) 0.337893 1.91629i 0.0159640 0.0905361i
\(449\) 25.5337 9.29349i 1.20501 0.438587i 0.340039 0.940411i \(-0.389560\pi\)
0.864970 + 0.501824i \(0.167338\pi\)
\(450\) 3.67914 0.173436
\(451\) −4.31117 + 1.56914i −0.203005 + 0.0738878i
\(452\) 9.96339 + 17.2571i 0.468639 + 0.811706i
\(453\) −4.33363 24.5772i −0.203612 1.15474i
\(454\) 3.78632 6.55810i 0.177701 0.307787i
\(455\) 3.15543 + 5.46537i 0.147929 + 0.256220i
\(456\) 5.78487 4.85408i 0.270901 0.227313i
\(457\) −3.46724 + 19.6637i −0.162191 + 0.919829i 0.789723 + 0.613463i \(0.210224\pi\)
−0.951914 + 0.306366i \(0.900887\pi\)
\(458\) 0.156450 0.270980i 0.00731044 0.0126621i
\(459\) −20.0277 7.28949i −0.934813 0.340244i
\(460\) −8.22230 2.99267i −0.383367 0.139534i
\(461\) 1.36552 + 7.74427i 0.0635987 + 0.360686i 0.999954 + 0.00963149i \(0.00306585\pi\)
−0.936355 + 0.351055i \(0.885823\pi\)
\(462\) 0.835054 + 0.700693i 0.0388502 + 0.0325992i
\(463\) −4.62851 3.88378i −0.215105 0.180495i 0.528868 0.848704i \(-0.322617\pi\)
−0.743973 + 0.668209i \(0.767061\pi\)
\(464\) 0.474795 + 2.69270i 0.0220418 + 0.125005i
\(465\) −18.0567 6.57212i −0.837362 0.304775i
\(466\) 0.641967 + 0.233657i 0.0297385 + 0.0108239i
\(467\) −14.6623 + 25.3958i −0.678489 + 1.17518i 0.296947 + 0.954894i \(0.404032\pi\)
−0.975436 + 0.220283i \(0.929302\pi\)
\(468\) 0.509827 2.89137i 0.0235668 0.133654i
\(469\) −2.49459 + 2.09321i −0.115190 + 0.0966555i
\(470\) −5.88806 10.1984i −0.271596 0.470418i
\(471\) −5.79857 + 10.0434i −0.267184 + 0.462776i
\(472\) 0.356699 + 2.02294i 0.0164184 + 0.0931135i
\(473\) −0.848392 1.46946i −0.0390091 0.0675658i
\(474\) −15.9260 + 5.79658i −0.731504 + 0.266246i
\(475\) −15.7726 −0.723696
\(476\) 6.99445 2.54577i 0.320590 0.116685i
\(477\) −0.416637 + 2.36286i −0.0190765 + 0.108188i
\(478\) 8.58460 + 7.20333i 0.392650 + 0.329473i
\(479\) −3.16884 + 2.65897i −0.144788 + 0.121492i −0.712305 0.701870i \(-0.752349\pi\)
0.567517 + 0.823362i \(0.307904\pi\)
\(480\) 1.94585 0.0888155
\(481\) 11.0274 + 6.64826i 0.502806 + 0.303135i
\(482\) −5.18059 −0.235969
\(483\) 10.8122 9.07248i 0.491970 0.412812i
\(484\) −8.27745 6.94560i −0.376248 0.315709i
\(485\) −0.157896 + 0.895475i −0.00716971 + 0.0406614i
\(486\) −12.2274 + 4.45040i −0.554645 + 0.201874i
\(487\) 28.9347 1.31116 0.655579 0.755126i \(-0.272425\pi\)
0.655579 + 0.755126i \(0.272425\pi\)
\(488\) 10.2761 3.74018i 0.465175 0.169310i
\(489\) 1.19079 + 2.06251i 0.0538493 + 0.0932697i
\(490\) −0.854978 4.84882i −0.0386240 0.219047i
\(491\) −9.77117 + 16.9242i −0.440967 + 0.763776i −0.997761 0.0668736i \(-0.978698\pi\)
0.556795 + 0.830650i \(0.312031\pi\)
\(492\) −6.60510 11.4404i −0.297781 0.515772i
\(493\) −8.01213 + 6.72298i −0.360848 + 0.302788i
\(494\) −2.18564 + 12.3954i −0.0983368 + 0.557696i
\(495\) 0.468637 0.811704i 0.0210637 0.0364834i
\(496\) −9.27962 3.37750i −0.416667 0.151654i
\(497\) 18.3905 + 6.69358i 0.824925 + 0.300248i
\(498\) 0.784897 + 4.45137i 0.0351721 + 0.199471i
\(499\) −32.3469 27.1423i −1.44805 1.21505i −0.933990 0.357298i \(-0.883698\pi\)
−0.514056 0.857757i \(-0.671858\pi\)
\(500\) −8.98158 7.53644i −0.401669 0.337040i
\(501\) 1.01605 + 5.76231i 0.0453938 + 0.257441i
\(502\) 28.6532 + 10.4289i 1.27885 + 0.465465i
\(503\) 12.5255 + 4.55890i 0.558483 + 0.203271i 0.605811 0.795608i \(-0.292849\pi\)
−0.0473286 + 0.998879i \(0.515071\pi\)
\(504\) 1.34939 2.33721i 0.0601065 0.104108i
\(505\) −3.51921 + 19.9584i −0.156603 + 0.888139i
\(506\) 1.92976 1.61926i 0.0857883 0.0719849i
\(507\) 5.40973 + 9.36993i 0.240255 + 0.416133i
\(508\) −2.45159 + 4.24628i −0.108772 + 0.188398i
\(509\) 4.74665 + 26.9196i 0.210392 + 1.19319i 0.888727 + 0.458438i \(0.151591\pi\)
−0.678335 + 0.734753i \(0.737298\pi\)
\(510\) 3.72167 + 6.44612i 0.164798 + 0.285439i
\(511\) 18.0760 6.57913i 0.799635 0.291043i
\(512\) 1.00000 0.0441942
\(513\) 31.1305 11.3306i 1.37445 0.500258i
\(514\) 1.01891 5.77851i 0.0449420 0.254879i
\(515\) −3.69698 3.10214i −0.162909 0.136697i
\(516\) 3.74266 3.14046i 0.164761 0.138251i
\(517\) 3.39035 0.149107
\(518\) 7.43504 + 9.20948i 0.326677 + 0.404641i
\(519\) −19.1753 −0.841701
\(520\) −2.48447 + 2.08472i −0.108951 + 0.0914208i
\(521\) 16.9953 + 14.2607i 0.744576 + 0.624773i 0.934062 0.357110i \(-0.116238\pi\)
−0.189487 + 0.981883i \(0.560682\pi\)
\(522\) −0.658511 + 3.73460i −0.0288223 + 0.163459i
\(523\) 36.0869 13.1346i 1.57797 0.574335i 0.603210 0.797582i \(-0.293888\pi\)
0.974762 + 0.223247i \(0.0716658\pi\)
\(524\) 0.308931 0.0134957
\(525\) 6.16041 2.24220i 0.268862 0.0978578i
\(526\) −8.15621 14.1270i −0.355628 0.615965i
\(527\) −6.55953 37.2009i −0.285738 1.62050i
\(528\) −0.280105 + 0.485156i −0.0121900 + 0.0211137i
\(529\) −4.80863 8.32879i −0.209071 0.362121i
\(530\) 2.03034 1.70365i 0.0881922 0.0740020i
\(531\) −0.494720 + 2.80570i −0.0214690 + 0.121757i
\(532\) −5.78487 + 10.0197i −0.250806 + 0.434408i
\(533\) 20.6902 + 7.53062i 0.896193 + 0.326187i
\(534\) 14.1666 + 5.15623i 0.613050 + 0.223132i
\(535\) −0.986136 5.59265i −0.0426344 0.241792i
\(536\) −1.28201 1.07573i −0.0553742 0.0464645i
\(537\) 19.5698 + 16.4210i 0.844497 + 0.708617i
\(538\) −1.73753 9.85402i −0.0749103 0.424837i
\(539\) 1.33202 + 0.484817i 0.0573744 + 0.0208826i
\(540\) 8.02152 + 2.91960i 0.345191 + 0.125639i
\(541\) 17.7662 30.7719i 0.763827 1.32299i −0.177038 0.984204i \(-0.556651\pi\)
0.940865 0.338783i \(-0.110015\pi\)
\(542\) −2.14748 + 12.1790i −0.0922422 + 0.523132i
\(543\) 9.06327 7.60499i 0.388942 0.326361i
\(544\) 1.91262 + 3.31275i 0.0820028 + 0.142033i
\(545\) −11.4667 + 19.8609i −0.491179 + 0.850747i
\(546\) −0.908449 5.15207i −0.0388780 0.220488i
\(547\) −19.9167 34.4968i −0.851579 1.47498i −0.879783 0.475375i \(-0.842312\pi\)
0.0282043 0.999602i \(-0.491021\pi\)
\(548\) 19.0773 6.94358i 0.814943 0.296615i
\(549\) 15.1669 0.647309
\(550\) 1.09951 0.400190i 0.0468834 0.0170642i
\(551\) 2.82306 16.0104i 0.120266 0.682065i
\(552\) 5.55652 + 4.66248i 0.236501 + 0.198448i
\(553\) 19.8911 16.6906i 0.845854 0.709756i
\(554\) −21.2463 −0.902667
\(555\) −7.77848 + 8.92130i −0.330178 + 0.378688i
\(556\) −13.1379 −0.557170
\(557\) −5.98445 + 5.02155i −0.253569 + 0.212770i −0.760708 0.649095i \(-0.775148\pi\)
0.507138 + 0.861865i \(0.330703\pi\)
\(558\) −10.4919 8.80378i −0.444159 0.372694i
\(559\) −1.41406 + 8.01951i −0.0598082 + 0.339189i
\(560\) −2.80143 + 1.01964i −0.118382 + 0.0430875i
\(561\) −2.14294 −0.0904748
\(562\) −15.2217 + 5.54025i −0.642089 + 0.233701i
\(563\) 17.5698 + 30.4318i 0.740479 + 1.28255i 0.952278 + 0.305233i \(0.0987345\pi\)
−0.211799 + 0.977313i \(0.567932\pi\)
\(564\) 1.69517 + 9.61381i 0.0713797 + 0.404814i
\(565\) 15.2648 26.4394i 0.642195 1.11231i
\(566\) 2.49412 + 4.31994i 0.104836 + 0.181581i
\(567\) −4.34599 + 3.64672i −0.182515 + 0.153148i
\(568\) −1.74650 + 9.90487i −0.0732813 + 0.415599i
\(569\) 13.4402 23.2792i 0.563444 0.975913i −0.433749 0.901034i \(-0.642810\pi\)
0.997193 0.0748791i \(-0.0238571\pi\)
\(570\) −10.8720 3.95708i −0.455378 0.165744i
\(571\) −37.5779 13.6772i −1.57259 0.572375i −0.599011 0.800741i \(-0.704440\pi\)
−0.973575 + 0.228366i \(0.926662\pi\)
\(572\) −0.162140 0.919544i −0.00677943 0.0384481i
\(573\) −10.3608 8.69372i −0.432827 0.363185i
\(574\) 15.5041 + 13.0095i 0.647130 + 0.543006i
\(575\) −2.63077 14.9198i −0.109711 0.622200i
\(576\) 1.30330 + 0.474361i 0.0543040 + 0.0197650i
\(577\) −15.5041 5.64304i −0.645445 0.234923i −0.00150512 0.999999i \(-0.500479\pi\)
−0.643940 + 0.765076i \(0.722701\pi\)
\(578\) 1.18379 2.05038i 0.0492390 0.0852845i
\(579\) 2.70227 15.3253i 0.112302 0.636899i
\(580\) 3.20903 2.69270i 0.133248 0.111808i
\(581\) −3.46255 5.99732i −0.143651 0.248811i
\(582\) 0.376889 0.652791i 0.0156226 0.0270591i
\(583\) 0.132503 + 0.751462i 0.00548772 + 0.0311224i
\(584\) 4.94285 + 8.56126i 0.204536 + 0.354268i
\(585\) −4.22690 + 1.53847i −0.174761 + 0.0636078i
\(586\) 5.54920 0.229235
\(587\) 26.0305 9.47432i 1.07439 0.391047i 0.256575 0.966524i \(-0.417406\pi\)
0.817818 + 0.575477i \(0.195184\pi\)
\(588\) −0.708756 + 4.01955i −0.0292286 + 0.165764i
\(589\) 44.9792 + 37.7421i 1.85334 + 1.55513i
\(590\) 2.41085 2.02294i 0.0992531 0.0832832i
\(591\) 20.4775 0.842331
\(592\) −3.99747 + 4.58478i −0.164295 + 0.188433i
\(593\) −43.2875 −1.77760 −0.888802 0.458292i \(-0.848461\pi\)
−0.888802 + 0.458292i \(0.848461\pi\)
\(594\) −1.88264 + 1.57972i −0.0772455 + 0.0648167i
\(595\) −8.73586 7.33025i −0.358135 0.300511i
\(596\) −0.692555 + 3.92767i −0.0283681 + 0.160884i
\(597\) 2.37589 0.864752i 0.0972385 0.0353919i
\(598\) −12.0898 −0.494389
\(599\) −2.17628 + 0.792102i −0.0889205 + 0.0323644i −0.386097 0.922458i \(-0.626177\pi\)
0.297177 + 0.954822i \(0.403955\pi\)
\(600\) 1.68455 + 2.91773i 0.0687715 + 0.119116i
\(601\) 2.32161 + 13.1665i 0.0947005 + 0.537073i 0.994839 + 0.101469i \(0.0323542\pi\)
−0.900138 + 0.435604i \(0.856535\pi\)
\(602\) −3.74266 + 6.48248i −0.152539 + 0.264206i
\(603\) −1.16055 2.01013i −0.0472612 0.0818588i
\(604\) −15.0525 + 12.6306i −0.612479 + 0.513931i
\(605\) −2.87473 + 16.3034i −0.116874 + 0.662827i
\(606\) 8.40014 14.5495i 0.341233 0.591032i
\(607\) −33.6174 12.2357i −1.36449 0.496633i −0.447048 0.894510i \(-0.647525\pi\)
−0.917439 + 0.397877i \(0.869747\pi\)
\(608\) −5.58727 2.03360i −0.226594 0.0824734i
\(609\) 1.17339 + 6.65460i 0.0475480 + 0.269658i
\(610\) −12.8345 10.7694i −0.519653 0.436041i
\(611\) −12.4643 10.4588i −0.504251 0.423117i
\(612\) 0.921267 + 5.22477i 0.0372400 + 0.211199i
\(613\) −4.73396 1.72302i −0.191203 0.0695921i 0.244644 0.969613i \(-0.421329\pi\)
−0.435847 + 0.900021i \(0.643551\pi\)
\(614\) −14.2471 5.18553i −0.574967 0.209271i
\(615\) −10.1196 + 17.5277i −0.408062 + 0.706783i
\(616\) 0.149041 0.845253i 0.00600503 0.0340562i
\(617\) 22.8182 19.1467i 0.918625 0.770818i −0.0551152 0.998480i \(-0.517553\pi\)
0.973740 + 0.227662i \(0.0731082\pi\)
\(618\) 2.00035 + 3.46470i 0.0804657 + 0.139371i
\(619\) −5.82105 + 10.0823i −0.233968 + 0.405244i −0.958972 0.283500i \(-0.908504\pi\)
0.725005 + 0.688744i \(0.241838\pi\)
\(620\) 2.62723 + 14.8998i 0.105512 + 0.598389i
\(621\) 15.9104 + 27.5576i 0.638462 + 1.10585i
\(622\) −14.2914 + 5.20165i −0.573034 + 0.208567i
\(623\) −23.0975 −0.925381
\(624\) 2.52643 0.919544i 0.101138 0.0368112i
\(625\) −0.816085 + 4.62825i −0.0326434 + 0.185130i
\(626\) 22.3467 + 18.7511i 0.893155 + 0.749446i
\(627\) 2.55164 2.14108i 0.101903 0.0855064i
\(628\) 9.13115 0.364372
\(629\) −22.8339 4.47369i −0.910446 0.178378i
\(630\) −4.13476 −0.164733
\(631\) 25.1488 21.1023i 1.00116 0.840070i 0.0140121 0.999902i \(-0.495540\pi\)
0.987144 + 0.159832i \(0.0510952\pi\)
\(632\) 10.2223 + 8.57753i 0.406621 + 0.341196i
\(633\) −2.77998 + 15.7661i −0.110494 + 0.626645i
\(634\) 18.0323 6.56322i 0.716154 0.260659i
\(635\) 7.51211 0.298109
\(636\) −2.06463 + 0.751462i −0.0818678 + 0.0297974i
\(637\) −3.40147 5.89151i −0.134771 0.233430i
\(638\) 0.209427 + 1.18772i 0.00829128 + 0.0470222i
\(639\) −6.97468 + 12.0805i −0.275914 + 0.477897i
\(640\) −0.766044 1.32683i −0.0302806 0.0524475i
\(641\) −7.75179 + 6.50452i −0.306177 + 0.256913i −0.782910 0.622135i \(-0.786265\pi\)
0.476733 + 0.879048i \(0.341821\pi\)
\(642\) −0.817482 + 4.63617i −0.0322634 + 0.182975i
\(643\) −9.94109 + 17.2185i −0.392038 + 0.679030i −0.992718 0.120459i \(-0.961563\pi\)
0.600680 + 0.799490i \(0.294897\pi\)
\(644\) −10.4428 3.80089i −0.411506 0.149776i
\(645\) −7.03390 2.56013i −0.276960 0.100805i
\(646\) −3.94950 22.3987i −0.155391 0.881267i
\(647\) −6.83200 5.73273i −0.268594 0.225377i 0.498536 0.866869i \(-0.333871\pi\)
−0.767129 + 0.641492i \(0.778316\pi\)
\(648\) −2.23347 1.87410i −0.0877389 0.0736217i
\(649\) 0.157336 + 0.892297i 0.00617598 + 0.0350257i
\(650\) −5.27679 1.92059i −0.206973 0.0753319i
\(651\) −22.9332 8.34701i −0.898824 0.327145i
\(652\) 0.937581 1.62394i 0.0367185 0.0635983i
\(653\) 6.58685 37.3559i 0.257763 1.46185i −0.531115 0.847300i \(-0.678227\pi\)
0.788879 0.614549i \(-0.210662\pi\)
\(654\) 14.5634 12.2202i 0.569475 0.477846i
\(655\) −0.236655 0.409899i −0.00924688 0.0160161i
\(656\) −5.20061 + 9.00771i −0.203050 + 0.351692i
\(657\) 2.38086 + 13.5026i 0.0928864 + 0.526785i
\(658\) −7.47821 12.9526i −0.291531 0.504947i
\(659\) −6.16662 + 2.24447i −0.240217 + 0.0874320i −0.459324 0.888269i \(-0.651908\pi\)
0.219106 + 0.975701i \(0.429686\pi\)
\(660\) 0.858292 0.0334090
\(661\) −15.8047 + 5.75246i −0.614733 + 0.223745i −0.630573 0.776130i \(-0.717180\pi\)
0.0158397 + 0.999875i \(0.494958\pi\)
\(662\) −1.36020 + 7.71408i −0.0528657 + 0.299816i
\(663\) 7.87831 + 6.61068i 0.305968 + 0.256738i
\(664\) 2.72628 2.28762i 0.105800 0.0887770i
\(665\) 17.7259 0.687379
\(666\) −7.38473 + 4.07908i −0.286152 + 0.158061i
\(667\) 15.6156 0.604640
\(668\) 3.52918 2.96133i 0.136548 0.114577i
\(669\) 19.8427 + 16.6500i 0.767164 + 0.643727i
\(670\) −0.445236 + 2.52506i −0.0172010 + 0.0975515i
\(671\) 4.53265 1.64975i 0.174981 0.0636878i
\(672\) 2.47135 0.0953345
\(673\) 7.68493 2.79709i 0.296232 0.107820i −0.189629 0.981856i \(-0.560728\pi\)
0.485861 + 0.874036i \(0.338506\pi\)
\(674\) −9.83241 17.0302i −0.378730 0.655980i
\(675\) 2.56653 + 14.5555i 0.0987857 + 0.560242i
\(676\) 4.25942 7.37753i 0.163824 0.283751i
\(677\) −13.2217 22.9007i −0.508152 0.880145i −0.999955 0.00943859i \(-0.996996\pi\)
0.491804 0.870706i \(-0.336338\pi\)
\(678\) −19.3873 + 16.2678i −0.744563 + 0.624763i
\(679\) −0.200539 + 1.13731i −0.00769596 + 0.0436460i
\(680\) 2.93030 5.07543i 0.112372 0.194634i
\(681\) 9.03771 + 3.28946i 0.346326 + 0.126052i
\(682\) −4.09313 1.48978i −0.156734 0.0570466i
\(683\) 2.15766 + 12.2367i 0.0825604 + 0.468223i 0.997856 + 0.0654415i \(0.0208456\pi\)
−0.915296 + 0.402782i \(0.868043\pi\)
\(684\) −6.31721 5.30077i −0.241544 0.202680i
\(685\) −23.8270 19.9932i −0.910384 0.763903i
\(686\) −3.45113 19.5723i −0.131765 0.747275i
\(687\) 0.373437 + 0.135920i 0.0142475 + 0.00518567i
\(688\) −3.61482 1.31569i −0.137814 0.0501601i
\(689\) 1.83103 3.17144i 0.0697567 0.120822i
\(690\) 1.92976 10.9442i 0.0734647 0.416639i
\(691\) −21.0501 + 17.6632i −0.800785 + 0.671938i −0.948389 0.317108i \(-0.897288\pi\)
0.147605 + 0.989046i \(0.452844\pi\)
\(692\) 7.54894 + 13.0751i 0.286968 + 0.497042i
\(693\) 0.595199 1.03092i 0.0226097 0.0391612i
\(694\) 3.74461 + 21.2367i 0.142143 + 0.806135i
\(695\) 10.0642 + 17.4317i 0.381757 + 0.661222i
\(696\) −3.26323 + 1.18772i −0.123692 + 0.0450203i
\(697\) −39.7871 −1.50704
\(698\) 25.2549 9.19201i 0.955910 0.347923i
\(699\) −0.150668 + 0.854483i −0.00569881 + 0.0323195i
\(700\) −3.95414 3.31792i −0.149452 0.125406i
\(701\) −15.0052 + 12.5909i −0.566739 + 0.475551i −0.880562 0.473931i \(-0.842835\pi\)
0.313823 + 0.949482i \(0.398390\pi\)
\(702\) 11.7946 0.445157
\(703\) 31.6586 17.4872i 1.19403 0.659541i
\(704\) 0.441088 0.0166241
\(705\) 11.4573 9.61381i 0.431506 0.362077i
\(706\) −10.0953 8.47096i −0.379941 0.318809i
\(707\) −4.46962 + 25.3485i −0.168097 + 0.953328i
\(708\) −2.45156 + 0.892297i −0.0921354 + 0.0335346i
\(709\) 18.8660 0.708528 0.354264 0.935145i \(-0.384731\pi\)
0.354264 + 0.935145i \(0.384731\pi\)
\(710\) 14.4800 5.27027i 0.543423 0.197790i
\(711\) 9.25384 + 16.0281i 0.347046 + 0.601102i
\(712\) −2.06123 11.6898i −0.0772477 0.438093i
\(713\) −28.1993 + 48.8426i −1.05607 + 1.82917i
\(714\) 4.72675 + 8.18698i 0.176894 + 0.306390i
\(715\) −1.09587 + 0.919544i −0.0409832 + 0.0343890i
\(716\) 3.49282 19.8088i 0.130533 0.740288i
\(717\) −7.11642 + 12.3260i −0.265767 + 0.460323i
\(718\) −3.18150 1.15797i −0.118733 0.0432151i
\(719\) −15.2536 5.55186i −0.568863 0.207049i 0.0415444 0.999137i \(-0.486772\pi\)
−0.610408 + 0.792087i \(0.708994\pi\)
\(720\) −0.368987 2.09263i −0.0137513 0.0779878i
\(721\) −4.69540 3.93991i −0.174866 0.146730i
\(722\) 12.5272 + 10.5116i 0.466215 + 0.391201i
\(723\) −1.14255 6.47972i −0.0424919 0.240983i
\(724\) −8.75370 3.18609i −0.325329 0.118410i
\(725\) 6.81570 + 2.48071i 0.253129 + 0.0921313i
\(726\) 6.86180 11.8850i 0.254665 0.441093i
\(727\) −2.94600 + 16.7076i −0.109261 + 0.619650i 0.880172 + 0.474656i \(0.157427\pi\)
−0.989433 + 0.144994i \(0.953684\pi\)
\(728\) −3.15543 + 2.64772i −0.116948 + 0.0981311i
\(729\) −12.6365 21.8870i −0.468017 0.810630i
\(730\) 7.57288 13.1166i 0.280285 0.485468i
\(731\) −2.55523 14.4914i −0.0945084 0.535984i
\(732\) 6.94442 + 12.0281i 0.256673 + 0.444571i
\(733\) 31.7060 11.5400i 1.17109 0.426241i 0.318042 0.948077i \(-0.396975\pi\)
0.853046 + 0.521835i \(0.174753\pi\)
\(734\) 6.59687 0.243495
\(735\) 5.87619 2.13876i 0.216747 0.0788893i
\(736\) 0.991731 5.62439i 0.0365557 0.207318i
\(737\) −0.565478 0.474492i −0.0208296 0.0174782i
\(738\) −11.0508 + 9.27275i −0.406787 + 0.341335i
\(739\) 15.5694 0.572730 0.286365 0.958121i \(-0.407553\pi\)
0.286365 + 0.958121i \(0.407553\pi\)
\(740\) 9.14546 + 1.79181i 0.336194 + 0.0658682i
\(741\) −15.9858 −0.587253
\(742\) 2.57866 2.16375i 0.0946655 0.0794338i
\(743\) −36.6033 30.7138i −1.34285 1.12678i −0.980885 0.194588i \(-0.937663\pi\)
−0.361961 0.932193i \(-0.617893\pi\)
\(744\) 2.17791 12.3515i 0.0798461 0.452829i
\(745\) 5.74187 2.08987i 0.210366 0.0765669i
\(746\) 1.05692 0.0386967
\(747\) 4.63832 1.68821i 0.169707 0.0617683i
\(748\) 0.843634 + 1.46122i 0.0308463 + 0.0534274i
\(749\) −1.25246 7.10303i −0.0457637 0.259539i
\(750\) 7.44551 12.8960i 0.271871 0.470895i
\(751\) 13.6489 + 23.6406i 0.498055 + 0.862657i 0.999997 0.00224411i \(-0.000714323\pi\)
−0.501942 + 0.864901i \(0.667381\pi\)
\(752\) 5.88806 4.94067i 0.214716 0.180168i
\(753\) −6.72485 + 38.1385i −0.245067 + 1.38984i
\(754\) 2.89402 5.01258i 0.105394 0.182548i
\(755\) 28.2895 + 10.2965i 1.02956 + 0.374730i
\(756\) 10.1878 + 3.70807i 0.370528 + 0.134861i
\(757\) −8.23710 46.7149i −0.299383 1.69788i −0.648835 0.760929i \(-0.724744\pi\)
0.349453 0.936954i \(-0.386367\pi\)
\(758\) 17.0172 + 14.2791i 0.618092 + 0.518641i
\(759\) 2.45092 + 2.05656i 0.0889627 + 0.0746486i
\(760\) 1.58186 + 8.97118i 0.0573801 + 0.325419i
\(761\) −8.81599 3.20876i −0.319579 0.116317i 0.177249 0.984166i \(-0.443280\pi\)
−0.496829 + 0.867849i \(0.665502\pi\)
\(762\) −5.85180 2.12988i −0.211988 0.0771574i
\(763\) −14.5634 + 25.2246i −0.527231 + 0.913191i
\(764\) −1.84920 + 10.4873i −0.0669015 + 0.379417i
\(765\) 6.22663 5.22477i 0.225124 0.188902i
\(766\) −4.67359 8.09489i −0.168864 0.292480i
\(767\) 2.17419 3.76581i 0.0785054 0.135975i
\(768\) 0.220544 + 1.25077i 0.00795820 + 0.0451332i
\(769\) −1.14862 1.98947i −0.0414203 0.0717420i 0.844572 0.535442i \(-0.179855\pi\)
−0.885992 +