Properties

Label 74.2.f.b.71.2
Level $74$
Weight $2$
Character 74.71
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 71.2
Root \(2.20976 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 74.71
Dual form 74.2.f.b.49.2

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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 −0.317168 0.948370i \(-0.602732\pi\)
0.878886 + 0.477032i \(0.158287\pi\)
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −1.43969 0.524005i −0.643850 0.234342i −0.000601695 1.00000i \(-0.500192\pi\)
−0.643248 + 0.765658i \(0.722414\pi\)
\(6\) 1.27006 0.518501
\(7\) −1.82850 0.665520i −0.691108 0.251543i −0.0274987 0.999622i \(-0.508754\pi\)
−0.663610 + 0.748079i \(0.730976\pi\)
\(8\) −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 −0.897357 0.441306i \(-0.854515\pi\)
0.830860 + 0.556481i \(0.187849\pi\)
\(12\) 0.972925 + 0.816381i 0.280859 + 0.235669i
\(13\) −0.367592 2.08472i −0.101952 0.578196i −0.992394 0.123100i \(-0.960716\pi\)
0.890443 0.455095i \(-0.150395\pi\)
\(14\) −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 0.791889 + 0.610665i \(0.209098\pi\)
−0.952992 + 0.302996i \(0.902013\pi\)
\(18\) −1.06246 + 0.891507i −0.250423 + 0.210130i
\(19\) 4.55479 3.82192i 1.04494 0.876808i 0.0523871 0.998627i \(-0.483317\pi\)
0.992552 + 0.121819i \(0.0388726\pi\)
\(20\) 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 −0.993486 0.113952i \(-0.963649\pi\)
0.398057 0.917360i \(-0.369684\pi\)
\(24\) 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 −0.964587 0.263764i \(-0.915036\pi\)
0.710720 + 0.703475i \(0.248369\pi\)
\(30\) −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 0.715556 + 0.698556i \(0.246174\pi\)
−0.433482 + 0.901162i \(0.642715\pi\)
\(42\) −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 −0.997446 0.0714293i \(-0.977244\pi\)
0.436863 0.899528i \(-0.356089\pi\)
\(48\) −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 −0.451245 0.892400i \(-0.649020\pi\)
0.227950 + 0.973673i \(0.426798\pi\)
\(54\) −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 −0.464599 0.885521i \(-0.653801\pi\)
0.213299 + 0.976987i \(0.431579\pi\)
\(60\) −0.972925 1.68516i −0.125604 0.217553i
\(61\) −1.89894 10.7694i −0.243134 1.37888i −0.824786 0.565444i \(-0.808705\pi\)
0.581652 0.813437i \(-0.302406\pi\)
\(62\) 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 0.436291 0.899806i \(-0.356292\pi\)
−0.244166 + 0.969734i \(0.578514\pi\)
\(68\) −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 −0.972945 0.231035i \(-0.925789\pi\)
0.0585751 + 0.998283i \(0.481344\pi\)
\(72\) −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 −0.479439 0.877575i \(-0.659160\pi\)
−0.931366 + 0.364084i \(0.881382\pi\)
\(80\) 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 −0.931923 0.362657i \(-0.881870\pi\)
0.999757 0.0220497i \(-0.00701920\pi\)
\(84\) −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 0.325319 0.945604i \(-0.394528\pi\)
0.857031 + 0.515264i \(0.172306\pi\)
\(90\) 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 0.880697 0.473679i \(-0.157074\pi\)
−0.850567 + 0.525867i \(0.823741\pi\)
\(98\) −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 0.981104 + 0.193483i \(0.0619785\pi\)
−0.322990 + 0.946402i \(0.604688\pi\)
\(102\) −0.843634 + 4.78448i −0.0835322 + 0.473734i
\(103\) 1.57500 2.72797i 0.155189 0.268795i −0.777939 0.628340i \(-0.783735\pi\)
0.933128 + 0.359545i \(0.117068\pi\)
\(104\) 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 −0.999984 0.00560785i \(-0.998215\pi\)
0.937760 0.347284i \(-0.112896\pi\)
\(108\) −4.26816 + 3.58141i −0.410704 + 0.344622i
\(109\) 11.4667 + 9.62169i 1.09831 + 0.921591i 0.997310 0.0732954i \(-0.0233516\pi\)
0.100999 + 0.994887i \(0.467796\pi\)
\(110\) 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 −0.942062 0.335438i \(-0.891116\pi\)
−0.493929 0.869502i \(-0.664440\pi\)
\(114\) 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 −0.538253 0.842783i \(-0.680916\pi\)
0.129405 + 0.991592i \(0.458693\pi\)
\(128\) 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 −0.982375 0.186923i \(-0.940148\pi\)
0.987062 + 0.160342i \(0.0512596\pi\)
\(132\) −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 0.00244359 0.999997i \(-0.499222\pi\)
0.864801 0.502115i \(-0.167444\pi\)
\(138\) −3.62676 6.28174i −0.308731 0.534737i
\(139\) −2.28137 + 12.9383i −0.193503 + 1.09741i 0.721031 + 0.692903i \(0.243668\pi\)
−0.914534 + 0.404508i \(0.867443\pi\)
\(140\) −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 −0.226408 + 0.974032i \(0.572698\pi\)
−0.998550 + 0.0538298i \(0.982857\pi\)
\(152\) 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 −0.853833 0.520547i \(-0.825728\pi\)
0.980378 0.197126i \(-0.0631609\pi\)
\(158\) −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 −0.272088 0.962272i \(-0.587714\pi\)
0.410105 + 0.912038i \(0.365492\pi\)
\(164\) −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 −0.495945 0.868354i \(-0.665178\pi\)
0.769041 + 0.639199i \(0.220734\pi\)
\(168\) 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 0.0867194 0.996233i \(-0.472362\pi\)
−0.966039 + 0.258396i \(0.916806\pi\)
\(174\) −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 0.984024 + 0.178038i \(0.0569751\pi\)
−0.863787 + 0.503857i \(0.831914\pi\)
\(182\) −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 −0.997763 0.0668528i \(-0.978704\pi\)
0.556778 + 0.830662i \(0.312038\pi\)
\(194\) −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 0.966175 0.257889i \(-0.0830269\pi\)
−0.0861968 + 0.996278i \(0.527471\pi\)
\(198\) −0.106231 0.602469i −0.00754954 0.0428156i
\(199\) 0.995370 + 1.72403i 0.0705599 + 0.122213i 0.899147 0.437647i \(-0.144188\pi\)
−0.828587 + 0.559860i \(0.810855\pi\)
\(200\) 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 −0.563319 0.826240i \(-0.690476\pi\)
0.997204 + 0.0747282i \(0.0238089\pi\)
\(212\) −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 0.567195 0.823584i \(-0.308029\pi\)
−0.0948927 + 0.995488i \(0.530251\pi\)
\(228\) 7.55161 0.500117
\(229\) 0.294030 + 0.107018i 0.0194301 + 0.00707197i 0.351717 0.936106i \(-0.385598\pi\)
−0.332287 + 0.943178i \(0.607820\pi\)
\(230\) −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 −0.854620 0.519255i \(-0.826210\pi\)
0.876997 + 0.480495i \(0.159543\pi\)
\(234\) 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 −0.854910 0.518776i \(-0.826388\pi\)
0.980785 0.195093i \(-0.0625009\pi\)
\(240\) 1.49061 1.25077i 0.0962183 0.0807368i
\(241\) −3.96856 + 3.33002i −0.255638 + 0.214505i −0.761595 0.648053i \(-0.775584\pi\)
0.505958 + 0.862558i \(0.331139\pi\)
\(242\) −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 0.245675 0.969352i \(-0.420991\pi\)
0.716646 0.697437i \(-0.245676\pi\)
\(252\) 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 0.772123 0.635473i \(-0.219195\pi\)
−0.491741 + 0.870742i \(0.663639\pi\)
\(258\) 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 0.938528 + 0.345204i \(0.112190\pi\)
−0.763861 + 0.645381i \(0.776698\pi\)
\(264\) −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 0.977270 0.211998i \(-0.0679970\pi\)
−0.672231 + 0.740342i \(0.734664\pi\)
\(270\) 4.26816 7.39267i 0.259752 0.449904i
\(271\) −9.47356 7.94926i −0.575478 0.482883i 0.307981 0.951393i \(-0.400347\pi\)
−0.883459 + 0.468509i \(0.844791\pi\)
\(272\) −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 −0.983772 0.179423i \(-0.942577\pi\)
0.00586739 + 0.999983i \(0.498132\pi\)
\(278\) −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 −0.753475 0.657477i \(-0.771624\pi\)
−0.154577 + 0.987981i \(0.549401\pi\)
\(282\) −4.88106 8.45424i −0.290663 0.503443i
\(283\) −0.866198 4.91245i −0.0514901 0.292015i 0.948179 0.317737i \(-0.102923\pi\)
−0.999669 + 0.0257216i \(0.991812\pi\)
\(284\) −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 −0.510116 0.860106i \(-0.670397\pi\)
0.758458 + 0.651722i \(0.225953\pi\)
\(294\) −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 −0.997101 0.0760888i \(-0.975757\pi\)
0.564445 + 0.825470i \(0.309090\pi\)
\(308\) 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 −0.713786 0.700364i \(-0.753021\pi\)
−0.0966062 + 0.995323i \(0.530799\pi\)
\(312\) 2.52643 0.919544i 0.143031 0.0520589i
\(313\) 5.06559 28.7284i 0.286324 1.62382i −0.414193 0.910189i \(-0.635936\pi\)
0.700517 0.713636i \(-0.252953\pi\)
\(314\) 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 0.218289 0.975884i \(-0.429952\pi\)
0.794505 + 0.607257i \(0.207730\pi\)
\(318\) −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 0.462808 0.886458i \(-0.346842\pi\)
−0.792625 + 0.609709i \(0.791286\pi\)
\(332\) 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 0.924646 + 0.380828i \(0.124361\pi\)
−0.738632 + 0.674109i \(0.764528\pi\)
\(338\) 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 −0.995615 0.0935416i \(-0.970181\pi\)
0.416798 0.908999i \(-0.363152\pi\)
\(348\) −3.26323 + 1.18772i −0.174927 + 0.0636683i
\(349\) 25.2549 9.19201i 1.35186 0.492037i 0.438333 0.898813i \(-0.355569\pi\)
0.913528 + 0.406775i \(0.133347\pi\)
\(350\) −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 0.861357 + 0.508000i \(0.169615\pi\)
−0.983157 + 0.182763i \(0.941496\pi\)
\(354\) −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 −0.907234 0.420626i \(-0.861811\pi\)
0.817890 + 0.575375i \(0.195144\pi\)
\(360\) 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 −0.501293 0.865278i \(-0.667142\pi\)
0.765083 + 0.643931i \(0.222698\pi\)
\(368\) 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 −0.621586 0.783346i \(-0.713511\pi\)
0.663508 + 0.748169i \(0.269067\pi\)
\(374\) −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 −0.709721 0.704482i \(-0.751179\pi\)
0.907867 0.419258i \(-0.137710\pi\)
\(380\) −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 0.997783 + 0.0665572i \(0.0212015\pi\)
−0.914845 + 0.403805i \(0.867687\pi\)
\(384\) −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 −0.594587 0.804031i \(-0.702684\pi\)
0.688567 + 0.725172i \(0.258240\pi\)
\(390\) −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 0.505519 0.862815i \(-0.331301\pi\)
−0.999980 + 0.00638497i \(0.997968\pi\)
\(398\) −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 0.568509 0.822677i \(-0.307521\pi\)
−0.711458 + 0.702728i \(0.751965\pi\)
\(410\) 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 −0.977006 0.213213i \(-0.931607\pi\)
−0.379629 0.925139i \(-0.623948\pi\)
\(420\) 0.657490 + 3.72881i 0.0320822 + 0.181947i
\(421\) −8.08913 14.0108i −0.394240 0.682844i 0.598764 0.800926i \(-0.295659\pi\)
−0.993004 + 0.118082i \(0.962325\pi\)
\(422\) 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 0.939986 + 0.341213i \(0.110838\pi\)
−0.766596 + 0.642129i \(0.778051\pi\)
\(432\) −4.26816 3.58141i −0.205352 0.172311i
\(433\) −13.3927 + 23.1968i −0.643611 + 1.11477i 0.341010 + 0.940060i \(0.389231\pi\)
−0.984621 + 0.174707i \(0.944102\pi\)
\(434\) −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 0.523358 0.852113i \(-0.324679\pi\)
−0.146812 + 0.989164i \(0.546901\pi\)
\(440\) 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 0.864970 0.501824i \(-0.167338\pi\)
0.340039 + 0.940411i \(0.389560\pi\)
\(450\) 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 −0.951914 0.306366i \(-0.900887\pi\)
0.789723 0.613463i \(-0.210224\pi\)
\(458\) 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 −0.936355 0.351055i \(-0.885823\pi\)
0.999954 0.00963149i \(-0.00306585\pi\)
\(462\) 0.835054 0.700693i 0.0388502 0.0325992i
\(463\) −4.62851 + 3.88378i −0.215105 + 0.180495i −0.743973 0.668209i \(-0.767061\pi\)
0.528868 + 0.848704i \(0.322617\pi\)
\(464\) 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 −0.975436 0.220283i \(-0.929302\pi\)
0.296947 0.954894i \(-0.404032\pi\)
\(468\) 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 0.567517 0.823362i \(-0.307904\pi\)
−0.712305 + 0.701870i \(0.752349\pi\)
\(480\) 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 0.556795 0.830650i \(-0.312031\pi\)
−0.997761 + 0.0668736i \(0.978698\pi\)
\(492\) −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 −0.514056 + 0.857757i \(0.671858\pi\)
−0.933990 + 0.357298i \(0.883698\pi\)
\(500\) −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 −0.0473286 0.998879i \(-0.515071\pi\)
0.605811 + 0.795608i \(0.292849\pi\)
\(504\) 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 −0.678335 0.734753i \(-0.737298\pi\)
0.888727 0.458438i \(-0.151591\pi\)
\(510\) 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 −0.189487 0.981883i \(-0.560682\pi\)
0.934062 + 0.357110i \(0.116238\pi\)
\(522\) −0.658511 3.73460i −0.0288223 0.163459i
\(523\) 36.0869 + 13.1346i 1.57797 + 0.574335i 0.974762 0.223247i \(-0.0716658\pi\)
0.603210 + 0.797582i \(0.293888\pi\)
\(524\) 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 0.940865 + 0.338783i \(0.110015\pi\)
−0.177038 + 0.984204i \(0.556651\pi\)
\(542\) −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 0.0282043 + 0.999602i \(0.491021\pi\)
−0.879783 + 0.475375i \(0.842312\pi\)
\(548\) 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 0.507138 0.861865i \(-0.330703\pi\)
−0.760708 + 0.649095i \(0.775148\pi\)
\(558\) −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 −0.211799 0.977313i \(-0.567932\pi\)
0.952278 0.305233i \(-0.0987345\pi\)
\(564\) 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 0.997193 + 0.0748791i \(0.0238571\pi\)
−0.433749 + 0.901034i \(0.642810\pi\)
\(570\) −10.8720 + 3.95708i −0.455378 + 0.165744i
\(571\) −37.5779 + 13.6772i −1.57259 + 0.572375i −0.973575 0.228366i \(-0.926662\pi\)
−0.599011 + 0.800741i \(0.704440\pi\)
\(572\) −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 −0.643940 0.765076i \(-0.722701\pi\)
−0.00150512 + 0.999999i \(0.500479\pi\)
\(578\) 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 0.817818 0.575477i \(-0.195184\pi\)
0.256575 + 0.966524i \(0.417406\pi\)
\(588\) −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 0.297177 0.954822i \(-0.403955\pi\)
−0.386097 + 0.922458i \(0.626177\pi\)
\(600\) 1.68455 2.91773i 0.0687715 0.119116i
\(601\) 2.32161 13.1665i 0.0947005 0.537073i −0.900138 0.435604i \(-0.856535\pi\)
0.994839 0.101469i \(-0.0323542\pi\)
\(602\) −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 −0.917439 0.397877i \(-0.869747\pi\)
−0.447048 + 0.894510i \(0.647525\pi\)
\(608\) −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 −0.435847 0.900021i \(-0.643551\pi\)
0.244644 + 0.969613i \(0.421329\pi\)
\(614\) −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 0.973740 0.227662i \(-0.0731082\pi\)
−0.0551152 + 0.998480i \(0.517553\pi\)
\(618\) 2.00035 3.46470i 0.0804657 0.139371i
\(619\) −5.82105 10.0823i −0.233968 0.405244i 0.725005 0.688744i \(-0.241838\pi\)
−0.958972 + 0.283500i \(0.908504\pi\)
\(620\) 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 0.987144 0.159832i \(-0.0510952\pi\)
0.0140121 + 0.999902i \(0.495540\pi\)
\(632\) 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 0.476733 0.879048i \(-0.341821\pi\)
−0.782910 + 0.622135i \(0.786265\pi\)
\(642\) −0.817482 4.63617i −0.0322634 0.182975i
\(643\) −9.94109 17.2185i −0.392038 0.679030i 0.600680 0.799490i \(-0.294897\pi\)
−0.992718 + 0.120459i \(0.961563\pi\)
\(644\) −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 −0.767129 0.641492i \(-0.778316\pi\)
0.498536 + 0.866869i \(0.333871\pi\)
\(648\) −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 0.788879 + 0.614549i \(0.210662\pi\)
−0.531115 + 0.847300i \(0.678227\pi\)
\(654\) 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 0.219106 0.975701i \(-0.429686\pi\)
−0.459324 + 0.888269i \(0.651908\pi\)
\(660\) 0.858292 0.0334090
\(661\) −15.8047 5.75246i −0.614733 0.223745i 0.0158397 0.999875i \(-0.494958\pi\)
−0.630573 + 0.776130i \(0.717180\pi\)
\(662\) −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 0.485861 0.874036i \(-0.338506\pi\)
−0.189629 + 0.981856i \(0.560728\pi\)
\(674\) −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 0.491804 + 0.870706i \(0.336338\pi\)
−0.999955 + 0.00943859i \(0.996996\pi\)
\(678\) −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 −0.915296 0.402782i \(-0.868043\pi\)
0.997856 0.0654415i \(-0.0208456\pi\)
\(684\) −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 0.147605 0.989046i \(-0.452844\pi\)
−0.948389 + 0.317108i \(0.897288\pi\)
\(692\) 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 0.313823 0.949482i \(-0.398390\pi\)
−0.880562 + 0.473931i \(0.842835\pi\)
\(702\) 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 −0.610408 0.792087i \(-0.708994\pi\)
0.0415444 + 0.999137i \(0.486772\pi\)
\(720\) −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 −0.989433 0.144994i \(-0.953684\pi\)
0.880172 0.474656i \(-0.157427\pi\)
\(728\) −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 0.853046 0.521835i \(-0.174753\pi\)
0.318042 + 0.948077i \(0.396975\pi\)
\(734\) 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 −0.361961 + 0.932193i \(0.617893\pi\)
−0.980885 + 0.194588i \(0.937663\pi\)
\(744\) 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 −0.501942 0.864901i \(-0.667381\pi\)
0.999997 + 0.00224411i \(0.000714323\pi\)
\(752\) 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 0.349453 + 0.936954i \(0.386367\pi\)
−0.648835 + 0.760929i \(0.724744\pi\)
\(758\) 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 −0.496829 0.867849i \(-0.665502\pi\)
0.177249 + 0.984166i \(0.443280\pi\)
\(762\) −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 −0.885992 0.463700i \(-0.846522\pi\)