Properties

Label 225.2.q.a.16.10
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.10
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16983 + 0.520841i) q^{2} +(1.71766 - 0.222825i) q^{3} +(-0.241041 + 0.267703i) q^{4} +(2.12080 + 0.708681i) q^{5} +(-1.89331 + 1.15529i) q^{6} +(1.38994 - 2.40744i) q^{7} +(0.933960 - 2.87443i) q^{8} +(2.90070 - 0.765476i) q^{9} +O(q^{10})\) \(q+(-1.16983 + 0.520841i) q^{2} +(1.71766 - 0.222825i) q^{3} +(-0.241041 + 0.267703i) q^{4} +(2.12080 + 0.708681i) q^{5} +(-1.89331 + 1.15529i) q^{6} +(1.38994 - 2.40744i) q^{7} +(0.933960 - 2.87443i) q^{8} +(2.90070 - 0.765476i) q^{9} +(-2.85007 + 0.275562i) q^{10} +(-3.72952 + 1.66049i) q^{11} +(-0.354375 + 0.513533i) q^{12} +(1.61140 + 0.717440i) q^{13} +(-0.372093 + 3.54022i) q^{14} +(3.80071 + 0.744704i) q^{15} +(0.329241 + 3.13252i) q^{16} +(-1.70650 + 5.25207i) q^{17} +(-2.99462 + 2.40627i) q^{18} +(2.48610 - 7.65144i) q^{19} +(-0.700915 + 0.396922i) q^{20} +(1.85100 - 4.44487i) q^{21} +(3.49804 - 3.88497i) q^{22} +(-0.403397 + 3.83806i) q^{23} +(0.963727 - 5.14540i) q^{24} +(3.99554 + 3.00593i) q^{25} -2.25873 q^{26} +(4.81184 - 1.96117i) q^{27} +(0.309448 + 0.952382i) q^{28} +(3.00335 + 0.638381i) q^{29} +(-4.83405 + 1.10839i) q^{30} +(-7.56593 + 1.60819i) q^{31} +(1.00566 + 1.74185i) q^{32} +(-6.03603 + 3.68318i) q^{33} +(-0.739181 - 7.03283i) q^{34} +(4.65388 - 4.12067i) q^{35} +(-0.494267 + 0.961037i) q^{36} +(-5.00145 + 3.63377i) q^{37} +(1.07687 + 10.2457i) q^{38} +(2.92769 + 0.873256i) q^{39} +(4.01779 - 5.43420i) q^{40} +(-8.98876 - 4.00205i) q^{41} +(0.149724 + 6.16381i) q^{42} +(1.87556 - 3.24857i) q^{43} +(0.454449 - 1.39865i) q^{44} +(6.69426 + 0.432252i) q^{45} +(-1.52712 - 4.69998i) q^{46} +(-0.343135 - 0.0729356i) q^{47} +(1.26353 + 5.30723i) q^{48} +(-0.363847 - 0.630202i) q^{49} +(-6.23971 - 1.43538i) q^{50} +(-1.76089 + 9.40152i) q^{51} +(-0.580473 + 0.258443i) q^{52} +(-2.83919 - 8.73813i) q^{53} +(-4.60756 + 4.80044i) q^{54} +(-9.08629 + 0.878518i) q^{55} +(-5.62188 - 6.24373i) q^{56} +(2.56534 - 13.6965i) q^{57} +(-3.84589 + 0.817469i) q^{58} +(-10.7721 - 4.79604i) q^{59} +(-1.11549 + 0.837959i) q^{60} +(3.54472 - 1.57821i) q^{61} +(8.01322 - 5.82194i) q^{62} +(2.18895 - 8.04722i) q^{63} +(-7.18012 - 5.21666i) q^{64} +(2.90901 + 2.66351i) q^{65} +(5.14277 - 7.45249i) q^{66} +(-6.62308 + 1.40778i) q^{67} +(-0.994660 - 1.72280i) q^{68} +(0.162320 + 6.68237i) q^{69} +(-3.29802 + 7.24440i) q^{70} +(-1.46059 - 4.49524i) q^{71} +(0.508827 - 9.05278i) q^{72} +(1.59230 + 1.15687i) q^{73} +(3.95822 - 6.85584i) q^{74} +(7.53278 + 4.27286i) q^{75} +(1.44906 + 2.50985i) q^{76} +(-1.18627 + 11.2866i) q^{77} +(-3.87972 + 0.503301i) q^{78} +(-3.83783 - 0.815756i) q^{79} +(-1.52170 + 6.87676i) q^{80} +(7.82809 - 4.44083i) q^{81} +12.5997 q^{82} +(8.05282 + 8.94357i) q^{83} +(0.743740 + 1.56691i) q^{84} +(-7.34118 + 9.92921i) q^{85} +(-0.502096 + 4.77713i) q^{86} +(5.30097 + 0.427298i) q^{87} +(1.28974 + 12.2711i) q^{88} +(-2.09393 - 1.52133i) q^{89} +(-8.05626 + 2.98098i) q^{90} +(3.96693 - 2.88214i) q^{91} +(-0.930227 - 1.03312i) q^{92} +(-12.6373 + 4.44820i) q^{93} +(0.439396 - 0.0933965i) q^{94} +(10.6949 - 14.4653i) q^{95} +(2.11551 + 2.76782i) q^{96} +(-0.0744158 - 0.0158176i) q^{97} +(0.753873 + 0.547721i) q^{98} +(-9.54714 + 7.67143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16983 + 0.520841i −0.827193 + 0.368290i −0.776261 0.630412i \(-0.782886\pi\)
−0.0509320 + 0.998702i \(0.516219\pi\)
\(3\) 1.71766 0.222825i 0.991690 0.128648i
\(4\) −0.241041 + 0.267703i −0.120521 + 0.133852i
\(5\) 2.12080 + 0.708681i 0.948448 + 0.316932i
\(6\) −1.89331 + 1.15529i −0.772939 + 0.471646i
\(7\) 1.38994 2.40744i 0.525347 0.909927i −0.474218 0.880408i \(-0.657269\pi\)
0.999564 0.0295194i \(-0.00939768\pi\)
\(8\) 0.933960 2.87443i 0.330205 1.01627i
\(9\) 2.90070 0.765476i 0.966899 0.255159i
\(10\) −2.85007 + 0.275562i −0.901272 + 0.0871405i
\(11\) −3.72952 + 1.66049i −1.12449 + 0.500656i −0.882824 0.469703i \(-0.844361\pi\)
−0.241667 + 0.970359i \(0.577694\pi\)
\(12\) −0.354375 + 0.513533i −0.102299 + 0.148244i
\(13\) 1.61140 + 0.717440i 0.446921 + 0.198982i 0.617841 0.786303i \(-0.288007\pi\)
−0.170920 + 0.985285i \(0.554674\pi\)
\(14\) −0.372093 + 3.54022i −0.0994459 + 0.946165i
\(15\) 3.80071 + 0.744704i 0.981340 + 0.192282i
\(16\) 0.329241 + 3.13252i 0.0823103 + 0.783130i
\(17\) −1.70650 + 5.25207i −0.413888 + 1.27382i 0.499355 + 0.866398i \(0.333571\pi\)
−0.913242 + 0.407417i \(0.866429\pi\)
\(18\) −2.99462 + 2.40627i −0.705840 + 0.567164i
\(19\) 2.48610 7.65144i 0.570351 1.75536i −0.0811386 0.996703i \(-0.525856\pi\)
0.651490 0.758657i \(-0.274144\pi\)
\(20\) −0.700915 + 0.396922i −0.156729 + 0.0887546i
\(21\) 1.85100 4.44487i 0.403921 0.969951i
\(22\) 3.49804 3.88497i 0.745784 0.828278i
\(23\) −0.403397 + 3.83806i −0.0841141 + 0.800292i 0.868414 + 0.495840i \(0.165140\pi\)
−0.952528 + 0.304452i \(0.901527\pi\)
\(24\) 0.963727 5.14540i 0.196720 1.05030i
\(25\) 3.99554 + 3.00593i 0.799109 + 0.601187i
\(26\) −2.25873 −0.442973
\(27\) 4.81184 1.96117i 0.926039 0.377428i
\(28\) 0.309448 + 0.952382i 0.0584801 + 0.179983i
\(29\) 3.00335 + 0.638381i 0.557707 + 0.118544i 0.478138 0.878285i \(-0.341312\pi\)
0.0795697 + 0.996829i \(0.474645\pi\)
\(30\) −4.83405 + 1.10839i −0.882572 + 0.202363i
\(31\) −7.56593 + 1.60819i −1.35888 + 0.288839i −0.829007 0.559238i \(-0.811094\pi\)
−0.529873 + 0.848077i \(0.677761\pi\)
\(32\) 1.00566 + 1.74185i 0.177777 + 0.307919i
\(33\) −6.03603 + 3.68318i −1.05074 + 0.641159i
\(34\) −0.739181 7.03283i −0.126768 1.20612i
\(35\) 4.65388 4.12067i 0.786649 0.696520i
\(36\) −0.494267 + 0.961037i −0.0823778 + 0.160173i
\(37\) −5.00145 + 3.63377i −0.822234 + 0.597388i −0.917352 0.398078i \(-0.869677\pi\)
0.0951175 + 0.995466i \(0.469677\pi\)
\(38\) 1.07687 + 10.2457i 0.174691 + 1.66208i
\(39\) 2.92769 + 0.873256i 0.468806 + 0.139833i
\(40\) 4.01779 5.43420i 0.635269 0.859223i
\(41\) −8.98876 4.00205i −1.40381 0.625015i −0.441570 0.897227i \(-0.645578\pi\)
−0.962238 + 0.272211i \(0.912245\pi\)
\(42\) 0.149724 + 6.16381i 0.0231029 + 0.951096i
\(43\) 1.87556 3.24857i 0.286020 0.495402i −0.686836 0.726813i \(-0.741001\pi\)
0.972856 + 0.231411i \(0.0743342\pi\)
\(44\) 0.454449 1.39865i 0.0685107 0.210854i
\(45\) 6.69426 + 0.432252i 0.997922 + 0.0644362i
\(46\) −1.52712 4.69998i −0.225161 0.692974i
\(47\) −0.343135 0.0729356i −0.0500514 0.0106387i 0.182818 0.983147i \(-0.441478\pi\)
−0.232869 + 0.972508i \(0.574811\pi\)
\(48\) 1.26353 + 5.30723i 0.182375 + 0.766033i
\(49\) −0.363847 0.630202i −0.0519782 0.0900289i
\(50\) −6.23971 1.43538i −0.882428 0.202993i
\(51\) −1.76089 + 9.40152i −0.246574 + 1.31648i
\(52\) −0.580473 + 0.258443i −0.0804972 + 0.0358397i
\(53\) −2.83919 8.73813i −0.389993 1.20027i −0.932793 0.360413i \(-0.882636\pi\)
0.542800 0.839862i \(-0.317364\pi\)
\(54\) −4.60756 + 4.80044i −0.627010 + 0.653256i
\(55\) −9.08629 + 0.878518i −1.22520 + 0.118459i
\(56\) −5.62188 6.24373i −0.751256 0.834354i
\(57\) 2.56534 13.6965i 0.339788 1.81415i
\(58\) −3.84589 + 0.817469i −0.504990 + 0.107339i
\(59\) −10.7721 4.79604i −1.40241 0.624391i −0.440495 0.897755i \(-0.645197\pi\)
−0.961911 + 0.273364i \(0.911864\pi\)
\(60\) −1.11549 + 0.837959i −0.144009 + 0.108180i
\(61\) 3.54472 1.57821i 0.453855 0.202069i −0.167061 0.985947i \(-0.553428\pi\)
0.620916 + 0.783877i \(0.286761\pi\)
\(62\) 8.01322 5.82194i 1.01768 0.739387i
\(63\) 2.18895 8.04722i 0.275782 1.01385i
\(64\) −7.18012 5.21666i −0.897515 0.652082i
\(65\) 2.90901 + 2.66351i 0.360818 + 0.330367i
\(66\) 5.14277 7.45249i 0.633031 0.917339i
\(67\) −6.62308 + 1.40778i −0.809138 + 0.171988i −0.593863 0.804566i \(-0.702398\pi\)
−0.215275 + 0.976554i \(0.569065\pi\)
\(68\) −0.994660 1.72280i −0.120620 0.208920i
\(69\) 0.162320 + 6.68237i 0.0195411 + 0.804463i
\(70\) −3.29802 + 7.24440i −0.394189 + 0.865871i
\(71\) −1.46059 4.49524i −0.173340 0.533486i 0.826214 0.563357i \(-0.190490\pi\)
−0.999554 + 0.0298707i \(0.990490\pi\)
\(72\) 0.508827 9.05278i 0.0599659 1.06688i
\(73\) 1.59230 + 1.15687i 0.186365 + 0.135402i 0.677056 0.735932i \(-0.263256\pi\)
−0.490691 + 0.871334i \(0.663256\pi\)
\(74\) 3.95822 6.85584i 0.460134 0.796975i
\(75\) 7.53278 + 4.27286i 0.869810 + 0.493387i
\(76\) 1.44906 + 2.50985i 0.166219 + 0.287899i
\(77\) −1.18627 + 11.2866i −0.135187 + 1.28622i
\(78\) −3.87972 + 0.503301i −0.439292 + 0.0569877i
\(79\) −3.83783 0.815756i −0.431789 0.0917797i −0.0131106 0.999914i \(-0.504173\pi\)
−0.418679 + 0.908134i \(0.637507\pi\)
\(80\) −1.52170 + 6.87676i −0.170132 + 0.768845i
\(81\) 7.82809 4.44083i 0.869788 0.493425i
\(82\) 12.5997 1.39141
\(83\) 8.05282 + 8.94357i 0.883912 + 0.981684i 0.999933 0.0115627i \(-0.00368061\pi\)
−0.116021 + 0.993247i \(0.537014\pi\)
\(84\) 0.743740 + 1.56691i 0.0811487 + 0.170964i
\(85\) −7.34118 + 9.92921i −0.796263 + 1.07697i
\(86\) −0.502096 + 4.77713i −0.0541425 + 0.515131i
\(87\) 5.30097 + 0.427298i 0.568323 + 0.0458112i
\(88\) 1.28974 + 12.2711i 0.137487 + 1.30810i
\(89\) −2.09393 1.52133i −0.221956 0.161260i 0.471251 0.881999i \(-0.343803\pi\)
−0.693207 + 0.720739i \(0.743803\pi\)
\(90\) −8.05626 + 2.98098i −0.849205 + 0.314223i
\(91\) 3.96693 2.88214i 0.415847 0.302131i
\(92\) −0.930227 1.03312i −0.0969829 0.107710i
\(93\) −12.6373 + 4.44820i −1.31043 + 0.461256i
\(94\) 0.439396 0.0933965i 0.0453202 0.00963312i
\(95\) 10.6949 14.4653i 1.09728 1.48411i
\(96\) 2.11551 + 2.76782i 0.215913 + 0.282490i
\(97\) −0.0744158 0.0158176i −0.00755578 0.00160603i 0.204132 0.978943i \(-0.434563\pi\)
−0.211688 + 0.977337i \(0.567896\pi\)
\(98\) 0.753873 + 0.547721i 0.0761527 + 0.0553282i
\(99\) −9.54714 + 7.67143i −0.959523 + 0.771007i
\(100\) −1.76779 + 0.345067i −0.176779 + 0.0345067i
\(101\) 2.68749 4.65486i 0.267415 0.463176i −0.700779 0.713379i \(-0.747164\pi\)
0.968193 + 0.250203i \(0.0804972\pi\)
\(102\) −2.83675 11.9153i −0.280880 1.17979i
\(103\) 4.32876 4.80758i 0.426526 0.473705i −0.491127 0.871088i \(-0.663415\pi\)
0.917653 + 0.397383i \(0.130082\pi\)
\(104\) 3.56721 3.96179i 0.349794 0.388485i
\(105\) 7.07558 8.11490i 0.690506 0.791933i
\(106\) 7.87254 + 8.74334i 0.764648 + 0.849228i
\(107\) 5.75730 0.556579 0.278289 0.960497i \(-0.410233\pi\)
0.278289 + 0.960497i \(0.410233\pi\)
\(108\) −0.634838 + 1.76087i −0.0610873 + 0.169440i
\(109\) −6.85039 + 4.97710i −0.656149 + 0.476720i −0.865360 0.501151i \(-0.832910\pi\)
0.209211 + 0.977870i \(0.432910\pi\)
\(110\) 10.1718 5.76022i 0.969845 0.549216i
\(111\) −7.78109 + 7.35602i −0.738549 + 0.698203i
\(112\) 7.99898 + 3.56137i 0.755832 + 0.336518i
\(113\) 2.18503 + 0.972840i 0.205551 + 0.0915171i 0.506930 0.861987i \(-0.330780\pi\)
−0.301379 + 0.953504i \(0.597447\pi\)
\(114\) 4.13270 + 17.3587i 0.387063 + 1.62579i
\(115\) −3.57548 + 7.85387i −0.333416 + 0.732377i
\(116\) −0.894826 + 0.650129i −0.0830825 + 0.0603630i
\(117\) 5.22336 + 0.847592i 0.482899 + 0.0783599i
\(118\) 15.0994 1.39002
\(119\) 10.2721 + 11.4084i 0.941644 + 1.04580i
\(120\) 5.69031 10.2294i 0.519452 0.933809i
\(121\) 3.79163 4.21104i 0.344694 0.382822i
\(122\) −3.32471 + 3.69247i −0.301005 + 0.334300i
\(123\) −16.3314 4.87123i −1.47255 0.439224i
\(124\) 1.39318 2.41306i 0.125111 0.216699i
\(125\) 6.34348 + 9.20653i 0.567378 + 0.823457i
\(126\) 1.63063 + 10.5539i 0.145268 + 0.940220i
\(127\) 0.560712 + 0.407381i 0.0497551 + 0.0361492i 0.612385 0.790560i \(-0.290210\pi\)
−0.562630 + 0.826709i \(0.690210\pi\)
\(128\) 7.18181 + 1.52654i 0.634788 + 0.134928i
\(129\) 2.49771 5.99785i 0.219911 0.528081i
\(130\) −4.79030 1.60072i −0.420137 0.140392i
\(131\) 5.48003 1.16482i 0.478792 0.101770i 0.0378076 0.999285i \(-0.487963\pi\)
0.440985 + 0.897515i \(0.354629\pi\)
\(132\) 0.468933 2.50366i 0.0408154 0.217916i
\(133\) −14.9649 16.6202i −1.29762 1.44115i
\(134\) 7.01463 5.09643i 0.605972 0.440264i
\(135\) 11.5948 0.749191i 0.997919 0.0644801i
\(136\) 13.5029 + 9.81045i 1.15787 + 0.841239i
\(137\) 0.544353 + 5.17917i 0.0465072 + 0.442486i 0.992854 + 0.119334i \(0.0380759\pi\)
−0.946347 + 0.323152i \(0.895257\pi\)
\(138\) −3.67034 7.73267i −0.312440 0.658249i
\(139\) −1.28216 + 12.1990i −0.108752 + 1.03470i 0.794989 + 0.606623i \(0.207476\pi\)
−0.903741 + 0.428079i \(0.859190\pi\)
\(140\) −0.0186596 + 2.23911i −0.00157702 + 0.189239i
\(141\) −0.605640 0.0488192i −0.0510041 0.00411132i
\(142\) 4.04994 + 4.49791i 0.339863 + 0.377457i
\(143\) −7.20103 −0.602180
\(144\) 3.35290 + 8.83447i 0.279408 + 0.736205i
\(145\) 5.91707 + 3.48229i 0.491386 + 0.289188i
\(146\) −2.46526 0.524008i −0.204027 0.0433672i
\(147\) −0.765390 1.00140i −0.0631283 0.0825939i
\(148\) 0.232784 2.21479i 0.0191347 0.182055i
\(149\) −1.22686 2.12499i −0.100508 0.174086i 0.811386 0.584511i \(-0.198714\pi\)
−0.911894 + 0.410425i \(0.865380\pi\)
\(150\) −11.0375 1.07513i −0.901210 0.0877838i
\(151\) 2.75815 4.77726i 0.224455 0.388768i −0.731700 0.681626i \(-0.761273\pi\)
0.956156 + 0.292858i \(0.0946063\pi\)
\(152\) −19.6716 14.2923i −1.59558 1.15926i
\(153\) −0.929713 + 16.5410i −0.0751628 + 1.33726i
\(154\) −4.49077 13.8212i −0.361877 1.11374i
\(155\) −17.1855 1.95119i −1.38037 0.156723i
\(156\) −0.939467 + 0.573262i −0.0752176 + 0.0458977i
\(157\) 3.31278 + 5.73791i 0.264389 + 0.457935i 0.967403 0.253241i \(-0.0814964\pi\)
−0.703014 + 0.711176i \(0.748163\pi\)
\(158\) 4.91447 1.04460i 0.390974 0.0831042i
\(159\) −6.82384 14.3765i −0.541166 1.14013i
\(160\) 0.898380 + 4.40680i 0.0710232 + 0.348389i
\(161\) 8.67922 + 6.30582i 0.684018 + 0.496968i
\(162\) −6.84455 + 9.27219i −0.537759 + 0.728492i
\(163\) 12.9210 9.38766i 1.01205 0.735298i 0.0474126 0.998875i \(-0.484902\pi\)
0.964638 + 0.263577i \(0.0849024\pi\)
\(164\) 3.23802 1.44166i 0.252847 0.112575i
\(165\) −15.4114 + 3.53365i −1.19978 + 0.275094i
\(166\) −14.0786 6.26819i −1.09271 0.486506i
\(167\) −7.78229 + 1.65418i −0.602212 + 0.128004i −0.498922 0.866647i \(-0.666270\pi\)
−0.103290 + 0.994651i \(0.532937\pi\)
\(168\) −11.0477 9.47190i −0.852351 0.730773i
\(169\) −6.61682 7.34872i −0.508986 0.565286i
\(170\) 3.41638 15.4390i 0.262025 1.18412i
\(171\) 1.35444 24.0976i 0.103577 1.84279i
\(172\) 0.417564 + 1.28513i 0.0318390 + 0.0979903i
\(173\) −5.70311 + 2.53919i −0.433599 + 0.193051i −0.611917 0.790922i \(-0.709601\pi\)
0.178317 + 0.983973i \(0.442935\pi\)
\(174\) −6.42377 + 2.26109i −0.486985 + 0.171413i
\(175\) 12.7902 5.44098i 0.966845 0.411299i
\(176\) −6.42942 11.1361i −0.484636 0.839414i
\(177\) −19.5714 5.83766i −1.47108 0.438786i
\(178\) 3.24190 + 0.689087i 0.242991 + 0.0516492i
\(179\) 4.57781 + 14.0890i 0.342161 + 1.05306i 0.963086 + 0.269194i \(0.0867573\pi\)
−0.620925 + 0.783870i \(0.713243\pi\)
\(180\) −1.72931 + 1.68789i −0.128895 + 0.125808i
\(181\) −7.23295 + 22.2607i −0.537621 + 1.65463i 0.200297 + 0.979735i \(0.435809\pi\)
−0.737917 + 0.674891i \(0.764191\pi\)
\(182\) −3.13949 + 5.43775i −0.232714 + 0.403073i
\(183\) 5.73695 3.50068i 0.424088 0.258778i
\(184\) 10.6555 + 4.74414i 0.785534 + 0.349742i
\(185\) −13.1822 + 4.16205i −0.969178 + 0.306000i
\(186\) 12.4667 11.7857i 0.914102 0.864166i
\(187\) −2.35658 22.4213i −0.172330 1.63961i
\(188\) 0.102235 0.0742778i 0.00745623 0.00541727i
\(189\) 1.96674 14.3101i 0.143059 1.04091i
\(190\) −4.97713 + 22.4922i −0.361079 + 1.63176i
\(191\) −1.53450 14.5998i −0.111032 1.05640i −0.898177 0.439634i \(-0.855108\pi\)
0.787145 0.616769i \(-0.211559\pi\)
\(192\) −13.4954 7.36053i −0.973946 0.531200i
\(193\) 1.55719 + 2.69714i 0.112089 + 0.194144i 0.916612 0.399777i \(-0.130912\pi\)
−0.804523 + 0.593921i \(0.797579\pi\)
\(194\) 0.0952921 0.0202550i 0.00684157 0.00145422i
\(195\) 5.59017 + 3.92680i 0.400321 + 0.281204i
\(196\) 0.256409 + 0.0545015i 0.0183149 + 0.00389296i
\(197\) 0.0685498 + 0.210975i 0.00488397 + 0.0150313i 0.953469 0.301492i \(-0.0974846\pi\)
−0.948585 + 0.316523i \(0.897485\pi\)
\(198\) 7.17291 13.9468i 0.509756 0.991154i
\(199\) 6.14533 0.435631 0.217815 0.975990i \(-0.430107\pi\)
0.217815 + 0.975990i \(0.430107\pi\)
\(200\) 12.3720 8.67750i 0.874834 0.613592i
\(201\) −11.0625 + 3.89387i −0.780289 + 0.274653i
\(202\) −0.719453 + 6.84514i −0.0506205 + 0.481622i
\(203\) 5.71132 6.34307i 0.400856 0.445196i
\(204\) −2.09237 2.73755i −0.146495 0.191667i
\(205\) −16.2271 14.8577i −1.13335 1.03771i
\(206\) −2.55992 + 7.87863i −0.178358 + 0.548930i
\(207\) 1.76781 + 11.4419i 0.122871 + 0.795264i
\(208\) −1.71686 + 5.28394i −0.119043 + 0.366375i
\(209\) 3.43316 + 32.6643i 0.237476 + 2.25944i
\(210\) −4.05064 + 13.1783i −0.279520 + 0.909387i
\(211\) −2.10709 + 20.0476i −0.145058 + 1.38014i 0.643627 + 0.765339i \(0.277429\pi\)
−0.788685 + 0.614797i \(0.789238\pi\)
\(212\) 3.02359 + 1.34619i 0.207661 + 0.0924566i
\(213\) −3.51045 7.39582i −0.240532 0.506753i
\(214\) −6.73504 + 2.99863i −0.460398 + 0.204982i
\(215\) 6.27988 5.56037i 0.428284 0.379214i
\(216\) −1.14320 15.6630i −0.0777848 1.06573i
\(217\) −6.64454 + 20.4498i −0.451061 + 1.38822i
\(218\) 5.42150 9.39031i 0.367190 0.635992i
\(219\) 2.99281 + 1.63231i 0.202235 + 0.110301i
\(220\) 1.95499 2.64419i 0.131805 0.178271i
\(221\) −6.51790 + 7.23886i −0.438441 + 0.486938i
\(222\) 5.27122 12.6580i 0.353781 0.849548i
\(223\) 10.6275 4.73168i 0.711672 0.316857i −0.0187775 0.999824i \(-0.505977\pi\)
0.730449 + 0.682967i \(0.239311\pi\)
\(224\) 5.59121 0.373579
\(225\) 13.8908 + 5.66081i 0.926055 + 0.377387i
\(226\) −3.06281 −0.203735
\(227\) 1.58999 0.707911i 0.105532 0.0469857i −0.353292 0.935513i \(-0.614938\pi\)
0.458823 + 0.888527i \(0.348271\pi\)
\(228\) 3.04825 + 3.98817i 0.201875 + 0.264123i
\(229\) 2.56118 2.84448i 0.169247 0.187968i −0.652554 0.757742i \(-0.726302\pi\)
0.821802 + 0.569774i \(0.192969\pi\)
\(230\) 0.0920844 11.0499i 0.00607187 0.728610i
\(231\) 0.477334 + 19.6508i 0.0314063 + 1.29293i
\(232\) 4.63999 8.03669i 0.304630 0.527635i
\(233\) −0.641036 + 1.97290i −0.0419956 + 0.129249i −0.969856 0.243678i \(-0.921646\pi\)
0.927861 + 0.372927i \(0.121646\pi\)
\(234\) −6.55188 + 1.72900i −0.428310 + 0.113028i
\(235\) −0.676031 0.397854i −0.0440994 0.0259532i
\(236\) 3.88043 1.72768i 0.252594 0.112462i
\(237\) −6.77385 0.546024i −0.440009 0.0354680i
\(238\) −17.9585 7.99566i −1.16408 0.518282i
\(239\) 2.73653 26.0363i 0.177011 1.68415i −0.440629 0.897689i \(-0.645245\pi\)
0.617640 0.786461i \(-0.288089\pi\)
\(240\) −1.08145 + 12.1510i −0.0698072 + 0.784343i
\(241\) 2.58033 + 24.5502i 0.166214 + 1.58142i 0.686310 + 0.727309i \(0.259229\pi\)
−0.520097 + 0.854107i \(0.674104\pi\)
\(242\) −2.24228 + 6.90102i −0.144139 + 0.443614i
\(243\) 12.4565 9.37212i 0.799082 0.601222i
\(244\) −0.431931 + 1.32935i −0.0276515 + 0.0851027i
\(245\) −0.325034 1.59438i −0.0207656 0.101861i
\(246\) 21.6420 2.80754i 1.37984 0.179002i
\(247\) 9.49554 10.5459i 0.604187 0.671017i
\(248\) −2.44365 + 23.2497i −0.155172 + 1.47636i
\(249\) 15.8249 + 13.5676i 1.00286 + 0.859813i
\(250\) −12.2159 7.46611i −0.772602 0.472198i
\(251\) −19.5268 −1.23252 −0.616262 0.787542i \(-0.711354\pi\)
−0.616262 + 0.787542i \(0.711354\pi\)
\(252\) 1.62664 + 2.52570i 0.102469 + 0.159104i
\(253\) −4.86858 14.9840i −0.306085 0.942034i
\(254\) −0.868116 0.184524i −0.0544704 0.0115780i
\(255\) −10.3972 + 18.6908i −0.651096 + 1.17046i
\(256\) 8.16578 1.73569i 0.510361 0.108481i
\(257\) 10.9988 + 19.0506i 0.686089 + 1.18834i 0.973093 + 0.230411i \(0.0740072\pi\)
−0.287004 + 0.957929i \(0.592659\pi\)
\(258\) 0.202035 + 8.31735i 0.0125782 + 0.517816i
\(259\) 1.79638 + 17.0914i 0.111622 + 1.06201i
\(260\) −1.41422 + 0.136735i −0.0877061 + 0.00847996i
\(261\) 9.20046 0.447238i 0.569494 0.0276833i
\(262\) −5.80400 + 4.21685i −0.358572 + 0.260518i
\(263\) −1.62985 15.5070i −0.100501 0.956201i −0.922313 0.386443i \(-0.873704\pi\)
0.821813 0.569758i \(-0.192963\pi\)
\(264\) 4.94964 + 20.7901i 0.304629 + 1.27954i
\(265\) 0.171202 20.5439i 0.0105169 1.26200i
\(266\) 26.1627 + 11.6484i 1.60414 + 0.714210i
\(267\) −3.93564 2.14654i −0.240857 0.131366i
\(268\) 1.21957 2.11235i 0.0744969 0.129032i
\(269\) 5.15923 15.8785i 0.314564 0.968127i −0.661370 0.750060i \(-0.730025\pi\)
0.975934 0.218067i \(-0.0699753\pi\)
\(270\) −13.1737 + 6.91545i −0.801724 + 0.420861i
\(271\) −6.30794 19.4138i −0.383180 1.17931i −0.937792 0.347197i \(-0.887133\pi\)
0.554612 0.832109i \(-0.312867\pi\)
\(272\) −17.0141 3.61645i −1.03163 0.219280i
\(273\) 6.17162 5.83447i 0.373523 0.353118i
\(274\) −3.33432 5.77521i −0.201434 0.348893i
\(275\) −19.8928 4.57612i −1.19958 0.275951i
\(276\) −1.82802 1.56727i −0.110034 0.0943387i
\(277\) 3.29047 1.46501i 0.197705 0.0880239i −0.305496 0.952193i \(-0.598822\pi\)
0.503201 + 0.864169i \(0.332156\pi\)
\(278\) −4.85381 14.9385i −0.291112 0.895951i
\(279\) −20.7154 + 10.4564i −1.24020 + 0.626008i
\(280\) −7.49805 17.2258i −0.448094 1.02944i
\(281\) −0.828322 0.919945i −0.0494136 0.0548793i 0.717931 0.696114i \(-0.245089\pi\)
−0.767345 + 0.641235i \(0.778423\pi\)
\(282\) 0.733921 0.258332i 0.0437044 0.0153834i
\(283\) 12.8466 2.73064i 0.763653 0.162319i 0.190410 0.981705i \(-0.439018\pi\)
0.573243 + 0.819385i \(0.305685\pi\)
\(284\) 1.55545 + 0.692532i 0.0922991 + 0.0410942i
\(285\) 15.1470 27.2295i 0.897232 1.61294i
\(286\) 8.42396 3.75059i 0.498119 0.221777i
\(287\) −22.1285 + 16.0773i −1.30620 + 0.949013i
\(288\) 4.25046 + 4.28278i 0.250461 + 0.252365i
\(289\) −10.9188 7.93300i −0.642285 0.466647i
\(290\) −8.73567 0.991823i −0.512976 0.0582418i
\(291\) −0.131345 0.0105874i −0.00769961 0.000620647i
\(292\) −0.693508 + 0.147410i −0.0405845 + 0.00862650i
\(293\) −0.196240 0.339898i −0.0114645 0.0198571i 0.860236 0.509896i \(-0.170316\pi\)
−0.871701 + 0.490039i \(0.836983\pi\)
\(294\) 1.41694 + 0.772815i 0.0826378 + 0.0450715i
\(295\) −19.4465 17.8054i −1.13222 1.03667i
\(296\) 5.77387 + 17.7701i 0.335599 + 1.03287i
\(297\) −14.6893 + 15.3042i −0.852361 + 0.888041i
\(298\) 2.54199 + 1.84687i 0.147254 + 0.106986i
\(299\) −3.40361 + 5.89523i −0.196836 + 0.340930i
\(300\) −2.95956 + 0.986614i −0.170871 + 0.0569622i
\(301\) −5.21382 9.03060i −0.300520 0.520515i
\(302\) −0.738371 + 7.02513i −0.0424885 + 0.404251i
\(303\) 3.57896 8.59430i 0.205606 0.493730i
\(304\) 24.7868 + 5.26860i 1.42162 + 0.302175i
\(305\) 8.63607 0.834988i 0.494500 0.0478113i
\(306\) −7.52760 19.8343i −0.430324 1.13385i
\(307\) −5.56125 −0.317397 −0.158699 0.987327i \(-0.550730\pi\)
−0.158699 + 0.987327i \(0.550730\pi\)
\(308\) −2.73551 3.03809i −0.155870 0.173111i
\(309\) 6.36408 9.22233i 0.362040 0.524640i
\(310\) 21.1203 6.66834i 1.19955 0.378736i
\(311\) 0.406248 3.86519i 0.0230362 0.219175i −0.976948 0.213479i \(-0.931520\pi\)
0.999984 0.00569549i \(-0.00181294\pi\)
\(312\) 5.24446 7.59986i 0.296909 0.430258i
\(313\) 3.00956 + 28.6340i 0.170110 + 1.61849i 0.663152 + 0.748484i \(0.269218\pi\)
−0.493042 + 0.870005i \(0.664115\pi\)
\(314\) −6.86392 4.98693i −0.387353 0.281429i
\(315\) 10.3452 15.5152i 0.582887 0.874185i
\(316\) 1.14345 0.830768i 0.0643243 0.0467344i
\(317\) 5.54854 + 6.16227i 0.311637 + 0.346108i 0.878533 0.477681i \(-0.158523\pi\)
−0.566896 + 0.823789i \(0.691856\pi\)
\(318\) 15.4706 + 13.2639i 0.867546 + 0.743800i
\(319\) −12.2610 + 2.60617i −0.686487 + 0.145917i
\(320\) −11.5306 16.1519i −0.644581 0.902917i
\(321\) 9.88906 1.28287i 0.551954 0.0716029i
\(322\) −13.4375 2.85623i −0.748843 0.159172i
\(323\) 35.9434 + 26.1144i 1.99994 + 1.45304i
\(324\) −0.698069 + 3.16603i −0.0387816 + 0.175890i
\(325\) 4.28183 + 7.71031i 0.237513 + 0.427691i
\(326\) −10.2259 + 17.7117i −0.566358 + 0.980961i
\(327\) −10.6576 + 10.0754i −0.589367 + 0.557171i
\(328\) −19.8988 + 22.0998i −1.09873 + 1.22026i
\(329\) −0.652524 + 0.724701i −0.0359748 + 0.0399541i
\(330\) 16.1882 12.1606i 0.891131 0.669421i
\(331\) 10.8411 + 12.0403i 0.595882 + 0.661794i 0.963352 0.268242i \(-0.0864425\pi\)
−0.367470 + 0.930035i \(0.619776\pi\)
\(332\) −4.33528 −0.237930
\(333\) −11.7261 + 14.3690i −0.642589 + 0.787414i
\(334\) 8.24237 5.98843i 0.451003 0.327673i
\(335\) −15.0439 1.70804i −0.821934 0.0933201i
\(336\) 14.5331 + 4.33485i 0.792844 + 0.236485i
\(337\) 15.9058 + 7.08173i 0.866445 + 0.385766i 0.791316 0.611408i \(-0.209396\pi\)
0.0751293 + 0.997174i \(0.476063\pi\)
\(338\) 11.5680 + 5.15043i 0.629219 + 0.280146i
\(339\) 3.96991 + 1.18413i 0.215616 + 0.0643129i
\(340\) −0.888554 4.35860i −0.0481886 0.236379i
\(341\) 25.5469 18.5609i 1.38344 1.00513i
\(342\) 10.9665 + 28.8954i 0.593001 + 1.56249i
\(343\) 17.4362 0.941467
\(344\) −7.58609 8.42520i −0.409014 0.454257i
\(345\) −4.39142 + 14.2870i −0.236426 + 0.769185i
\(346\) 5.34914 5.94082i 0.287571 0.319380i
\(347\) 13.3243 14.7981i 0.715287 0.794406i −0.270444 0.962736i \(-0.587171\pi\)
0.985731 + 0.168329i \(0.0538372\pi\)
\(348\) −1.39214 + 1.31609i −0.0746265 + 0.0705498i
\(349\) −4.68392 + 8.11279i −0.250724 + 0.434268i −0.963725 0.266895i \(-0.914002\pi\)
0.713001 + 0.701163i \(0.247335\pi\)
\(350\) −12.1284 + 13.0266i −0.648290 + 0.696303i
\(351\) 9.16080 + 0.291976i 0.488967 + 0.0155845i
\(352\) −6.64295 4.82638i −0.354070 0.257247i
\(353\) 17.1619 + 3.64788i 0.913438 + 0.194157i 0.640575 0.767896i \(-0.278696\pi\)
0.272863 + 0.962053i \(0.412029\pi\)
\(354\) 25.9357 3.36454i 1.37847 0.178823i
\(355\) 0.0880730 10.5686i 0.00467443 0.560921i
\(356\) 0.911986 0.193849i 0.0483351 0.0102740i
\(357\) 20.1861 + 17.3068i 1.06836 + 0.915971i
\(358\) −12.6934 14.0974i −0.670866 0.745072i
\(359\) 0.187026 0.135882i 0.00987085 0.00717159i −0.582839 0.812588i \(-0.698058\pi\)
0.592710 + 0.805416i \(0.298058\pi\)
\(360\) 7.49465 18.8385i 0.395003 0.992876i
\(361\) −36.9925 26.8766i −1.94697 1.41456i
\(362\) −3.13299 29.8084i −0.164666 1.56669i
\(363\) 5.57441 8.07799i 0.292580 0.423985i
\(364\) −0.184634 + 1.75668i −0.00967745 + 0.0920748i
\(365\) 2.55709 + 3.58192i 0.133844 + 0.187486i
\(366\) −4.88794 + 7.08323i −0.255497 + 0.370246i
\(367\) 8.64380 + 9.59991i 0.451203 + 0.501111i 0.925234 0.379397i \(-0.123868\pi\)
−0.474031 + 0.880508i \(0.657202\pi\)
\(368\) −12.1556 −0.633656
\(369\) −29.1371 4.72807i −1.51682 0.246134i
\(370\) 13.2532 11.7347i 0.689000 0.610059i
\(371\) −24.9828 5.31027i −1.29704 0.275695i
\(372\) 1.85532 4.45525i 0.0961938 0.230994i
\(373\) 3.65381 34.7637i 0.189187 1.80000i −0.328583 0.944475i \(-0.606571\pi\)
0.517770 0.855520i \(-0.326762\pi\)
\(374\) 14.4347 + 25.0017i 0.746401 + 1.29281i
\(375\) 12.9474 + 14.4002i 0.668600 + 0.743622i
\(376\) −0.530122 + 0.918199i −0.0273390 + 0.0473525i
\(377\) 4.38158 + 3.18340i 0.225663 + 0.163954i
\(378\) 5.15255 + 17.7647i 0.265018 + 0.913719i
\(379\) 5.46807 + 16.8290i 0.280876 + 0.864448i 0.987605 + 0.156963i \(0.0501702\pi\)
−0.706728 + 0.707485i \(0.749830\pi\)
\(380\) 1.29448 + 6.34980i 0.0664055 + 0.325738i
\(381\) 1.05389 + 0.574800i 0.0539922 + 0.0294479i
\(382\) 9.39925 + 16.2800i 0.480908 + 0.832956i
\(383\) −26.9136 + 5.72065i −1.37522 + 0.292312i −0.835480 0.549521i \(-0.814810\pi\)
−0.539739 + 0.841833i \(0.681477\pi\)
\(384\) 12.6760 + 1.02179i 0.646872 + 0.0521428i
\(385\) −10.5144 + 23.0958i −0.535863 + 1.17707i
\(386\) −3.22643 2.34414i −0.164221 0.119313i
\(387\) 2.95374 10.8588i 0.150147 0.551984i
\(388\) 0.0221717 0.0161087i 0.00112560 0.000817794i
\(389\) 3.19923 1.42439i 0.162207 0.0722193i −0.324027 0.946048i \(-0.605037\pi\)
0.486234 + 0.873829i \(0.338370\pi\)
\(390\) −8.58477 1.68208i −0.434707 0.0851755i
\(391\) −19.4694 8.66834i −0.984610 0.438377i
\(392\) −2.15129 + 0.457271i −0.108657 + 0.0230957i
\(393\) 9.15326 3.22184i 0.461721 0.162521i
\(394\) −0.190076 0.211100i −0.00957587 0.0106351i
\(395\) −7.56114 4.44984i −0.380442 0.223896i
\(396\) 0.247586 4.40493i 0.0124417 0.221356i
\(397\) 3.68101 + 11.3290i 0.184745 + 0.568586i 0.999944 0.0105951i \(-0.00337259\pi\)
−0.815199 + 0.579181i \(0.803373\pi\)
\(398\) −7.18897 + 3.20074i −0.360350 + 0.160438i
\(399\) −29.4079 25.2132i −1.47224 1.26224i
\(400\) −8.10065 + 13.5058i −0.405032 + 0.675290i
\(401\) −7.08207 12.2665i −0.353661 0.612560i 0.633226 0.773967i \(-0.281730\pi\)
−0.986888 + 0.161407i \(0.948397\pi\)
\(402\) 10.9131 10.3170i 0.544297 0.514563i
\(403\) −13.3455 2.83667i −0.664786 0.141305i
\(404\) 0.598327 + 1.84146i 0.0297679 + 0.0916161i
\(405\) 19.7489 3.87046i 0.981331 0.192325i
\(406\) −3.37753 + 10.3950i −0.167624 + 0.515894i
\(407\) 12.6192 21.8571i 0.625509 1.08341i
\(408\) 25.3794 + 13.8422i 1.25647 + 0.685291i
\(409\) 1.73143 + 0.770882i 0.0856136 + 0.0381176i 0.449097 0.893483i \(-0.351746\pi\)
−0.363483 + 0.931601i \(0.618413\pi\)
\(410\) 26.7214 + 8.92918i 1.31968 + 0.440981i
\(411\) 2.08906 + 8.77475i 0.103046 + 0.432826i
\(412\) 0.243594 + 2.31765i 0.0120010 + 0.114182i
\(413\) −26.5187 + 19.2670i −1.30490 + 0.948065i
\(414\) −8.02742 12.4642i −0.394526 0.612584i
\(415\) 10.7403 + 24.6744i 0.527218 + 1.21122i
\(416\) 0.370841 + 3.52832i 0.0181820 + 0.172990i
\(417\) 0.515922 + 21.2393i 0.0252648 + 1.04010i
\(418\) −21.0291 36.4235i −1.02857 1.78153i
\(419\) 23.4165 4.97733i 1.14397 0.243159i 0.403327 0.915056i \(-0.367854\pi\)
0.740644 + 0.671897i \(0.234520\pi\)
\(420\) 0.466879 + 3.85018i 0.0227814 + 0.187869i
\(421\) −8.69537 1.84826i −0.423787 0.0900786i −0.00891857 0.999960i \(-0.502839\pi\)
−0.414868 + 0.909882i \(0.636172\pi\)
\(422\) −7.97669 24.5497i −0.388299 1.19506i
\(423\) −1.05116 + 0.0510973i −0.0511092 + 0.00248444i
\(424\) −27.7689 −1.34858
\(425\) −22.6058 + 15.8553i −1.09654 + 0.769093i
\(426\) 7.95866 + 6.82345i 0.385598 + 0.330597i
\(427\) 1.12749 10.7273i 0.0545629 0.519131i
\(428\) −1.38774 + 1.54125i −0.0670792 + 0.0744989i
\(429\) −12.3689 + 1.60457i −0.597176 + 0.0774694i
\(430\) −4.45030 + 9.77549i −0.214613 + 0.471416i
\(431\) 0.186360 0.573557i 0.00897664 0.0276273i −0.946468 0.322798i \(-0.895377\pi\)
0.955445 + 0.295171i \(0.0953765\pi\)
\(432\) 7.72767 + 14.4275i 0.371798 + 0.694142i
\(433\) 11.7310 36.1042i 0.563754 1.73506i −0.107871 0.994165i \(-0.534403\pi\)
0.671625 0.740891i \(-0.265597\pi\)
\(434\) −2.87812 27.3835i −0.138154 1.31445i
\(435\) 10.9394 + 4.66291i 0.524506 + 0.223569i
\(436\) 0.318840 3.03356i 0.0152697 0.145281i
\(437\) 28.3638 + 12.6284i 1.35683 + 0.604098i
\(438\) −4.35124 0.350743i −0.207910 0.0167591i
\(439\) 34.7392 15.4669i 1.65801 0.738193i 0.658118 0.752915i \(-0.271353\pi\)
0.999892 + 0.0147216i \(0.00468620\pi\)
\(440\) −5.96099 + 26.9384i −0.284179 + 1.28424i
\(441\) −1.53782 1.54951i −0.0732293 0.0737862i
\(442\) 3.85452 11.8630i 0.183341 0.564265i
\(443\) −16.7070 + 28.9373i −0.793772 + 1.37485i 0.129844 + 0.991534i \(0.458552\pi\)
−0.923616 + 0.383319i \(0.874781\pi\)
\(444\) −0.0936685 3.85613i −0.00444531 0.183004i
\(445\) −3.36265 4.71034i −0.159405 0.223292i
\(446\) −9.96792 + 11.0705i −0.471994 + 0.524203i
\(447\) −2.58083 3.37662i −0.122069 0.159709i
\(448\) −22.5387 + 10.0349i −1.06485 + 0.474103i
\(449\) 4.99449 0.235705 0.117852 0.993031i \(-0.462399\pi\)
0.117852 + 0.993031i \(0.462399\pi\)
\(450\) −19.1982 + 0.612738i −0.905014 + 0.0288848i
\(451\) 40.1691 1.89149
\(452\) −0.787115 + 0.350446i −0.0370228 + 0.0164836i
\(453\) 3.67307 8.82029i 0.172576 0.414413i
\(454\) −1.49131 + 1.65627i −0.0699906 + 0.0777324i
\(455\) 10.4556 3.30115i 0.490165 0.154760i
\(456\) −36.9738 20.1659i −1.73146 0.944355i
\(457\) 14.1253 24.4658i 0.660756 1.14446i −0.319662 0.947532i \(-0.603569\pi\)
0.980417 0.196931i \(-0.0630974\pi\)
\(458\) −1.51462 + 4.66151i −0.0707734 + 0.217818i
\(459\) 2.08882 + 28.6189i 0.0974976 + 1.33582i
\(460\) −1.24067 2.85027i −0.0578464 0.132895i
\(461\) 18.6354 8.29700i 0.867936 0.386430i 0.0760535 0.997104i \(-0.475768\pi\)
0.791882 + 0.610674i \(0.209101\pi\)
\(462\) −10.7933 22.7394i −0.502151 1.05793i
\(463\) 22.2020 + 9.88497i 1.03182 + 0.459394i 0.851577 0.524229i \(-0.175647\pi\)
0.180238 + 0.983623i \(0.442313\pi\)
\(464\) −1.01092 + 9.61822i −0.0469306 + 0.446515i
\(465\) −29.9535 + 0.477882i −1.38906 + 0.0221613i
\(466\) −0.277668 2.64183i −0.0128627 0.122381i
\(467\) 0.349452 1.07550i 0.0161707 0.0497683i −0.942646 0.333795i \(-0.891671\pi\)
0.958816 + 0.284027i \(0.0916706\pi\)
\(468\) −1.48595 + 1.19400i −0.0686879 + 0.0551929i
\(469\) −5.81652 + 17.9014i −0.268582 + 0.826610i
\(470\) 0.998057 + 0.113317i 0.0460370 + 0.00522691i
\(471\) 6.96878 + 9.11759i 0.321104 + 0.420117i
\(472\) −23.8466 + 26.4843i −1.09763 + 1.21904i
\(473\) −1.60073 + 15.2299i −0.0736016 + 0.700273i
\(474\) 8.20862 2.88934i 0.377034 0.132712i
\(475\) 32.9330 23.0986i 1.51107 1.05984i
\(476\) −5.53006 −0.253470
\(477\) −14.9245 23.1733i −0.683344 1.06103i
\(478\) 10.3595 + 31.8833i 0.473833 + 1.45831i
\(479\) −26.9399 5.72626i −1.23092 0.261640i −0.453862 0.891072i \(-0.649954\pi\)
−0.777055 + 0.629432i \(0.783287\pi\)
\(480\) 2.52506 + 7.36920i 0.115253 + 0.336357i
\(481\) −10.6663 + 2.26720i −0.486343 + 0.103375i
\(482\) −15.8053 27.3755i −0.719910 1.24692i
\(483\) 16.3130 + 8.89729i 0.742268 + 0.404841i
\(484\) 0.213368 + 2.03007i 0.00969857 + 0.0922757i
\(485\) −0.146611 0.0862829i −0.00665727 0.00391790i
\(486\) −9.69052 + 17.4516i −0.439571 + 0.791620i
\(487\) −3.20834 + 2.33100i −0.145384 + 0.105628i −0.658100 0.752931i \(-0.728639\pi\)
0.512716 + 0.858558i \(0.328639\pi\)
\(488\) −1.22584 11.6630i −0.0554910 0.527961i
\(489\) 20.1021 19.0039i 0.909046 0.859386i
\(490\) 1.21065 + 1.69586i 0.0546917 + 0.0766111i
\(491\) 35.2505 + 15.6945i 1.59083 + 0.708284i 0.995461 0.0951663i \(-0.0303383\pi\)
0.595371 + 0.803451i \(0.297005\pi\)
\(492\) 5.24057 3.19779i 0.236263 0.144168i
\(493\) −8.47804 + 14.6844i −0.381832 + 0.661352i
\(494\) −5.61543 + 17.2825i −0.252650 + 0.777577i
\(495\) −25.6841 + 9.50365i −1.15441 + 0.427157i
\(496\) −7.52869 23.1709i −0.338048 1.04041i
\(497\) −12.8521 2.73181i −0.576497 0.122538i
\(498\) −25.5789 7.62954i −1.14622 0.341888i
\(499\) 1.12601 + 1.95031i 0.0504073 + 0.0873081i 0.890128 0.455710i \(-0.150615\pi\)
−0.839721 + 0.543018i \(0.817281\pi\)
\(500\) −3.99366 0.520981i −0.178602 0.0232990i
\(501\) −12.9987 + 4.57540i −0.580740 + 0.204414i
\(502\) 22.8430 10.1704i 1.01953 0.453926i
\(503\) −9.99411 30.7587i −0.445615 1.37146i −0.881808 0.471609i \(-0.843673\pi\)
0.436192 0.899853i \(-0.356327\pi\)
\(504\) −21.0868 13.8078i −0.939281 0.615047i
\(505\) 8.99842 7.96744i 0.400424 0.354547i
\(506\) 13.4997 + 14.9929i 0.600133 + 0.666515i
\(507\) −13.0029 11.1482i −0.577480 0.495109i
\(508\) −0.244212 + 0.0519088i −0.0108351 + 0.00230308i
\(509\) −28.2990 12.5995i −1.25433 0.558463i −0.331421 0.943483i \(-0.607528\pi\)
−0.922908 + 0.385020i \(0.874195\pi\)
\(510\) 2.42797 27.2802i 0.107512 1.20799i
\(511\) 4.99830 2.22539i 0.221112 0.0984453i
\(512\) −20.5286 + 14.9149i −0.907242 + 0.659150i
\(513\) −3.04308 41.6932i −0.134355 1.84080i
\(514\) −22.7890 16.5572i −1.00518 0.730307i
\(515\) 12.5875 7.12818i 0.554669 0.314105i
\(516\) 1.00359 + 2.11437i 0.0441807 + 0.0930800i
\(517\) 1.40084 0.297757i 0.0616087 0.0130953i
\(518\) −11.0034 19.0584i −0.483460 0.837377i
\(519\) −9.23019 + 5.63225i −0.405161 + 0.247228i
\(520\) 10.3730 5.87413i 0.454885 0.257598i
\(521\) 4.77195 + 14.6865i 0.209063 + 0.643429i 0.999522 + 0.0309144i \(0.00984194\pi\)
−0.790459 + 0.612515i \(0.790158\pi\)
\(522\) −10.5300 + 5.31516i −0.460886 + 0.232638i
\(523\) −19.9676 14.5073i −0.873123 0.634361i 0.0583005 0.998299i \(-0.481432\pi\)
−0.931423 + 0.363938i \(0.881432\pi\)
\(524\) −1.00909 + 1.74779i −0.0440822 + 0.0763525i
\(525\) 20.7567 12.1957i 0.905898 0.532264i
\(526\) 9.98330 + 17.2916i 0.435293 + 0.753949i
\(527\) 4.46495 42.4812i 0.194496 1.85051i
\(528\) −13.5249 17.6953i −0.588598 0.770091i
\(529\) 7.92938 + 1.68544i 0.344756 + 0.0732801i
\(530\) 10.4998 + 24.1219i 0.456082 + 1.04779i
\(531\) −34.9178 5.66610i −1.51530 0.245888i
\(532\) 8.05641 0.349290
\(533\) −11.6132 12.8978i −0.503024 0.558665i
\(534\) 5.72202 + 0.461238i 0.247616 + 0.0199597i
\(535\) 12.2100 + 4.08008i 0.527886 + 0.176397i
\(536\) −2.13912 + 20.3524i −0.0923961 + 0.879090i
\(537\) 11.0025 + 23.1801i 0.474793 + 1.00030i
\(538\) 2.23475 + 21.2622i 0.0963468 + 0.916678i
\(539\) 2.40342 + 1.74619i 0.103523 + 0.0752135i
\(540\) −2.59425 + 3.28454i −0.111639 + 0.141344i
\(541\) −0.625472 + 0.454432i −0.0268911 + 0.0195376i −0.601150 0.799136i \(-0.705290\pi\)
0.574259 + 0.818674i \(0.305290\pi\)
\(542\) 17.4907 + 19.4254i 0.751290 + 0.834392i
\(543\) −7.46347 + 39.8480i −0.320288 + 1.71004i
\(544\) −10.8645 + 2.30932i −0.465812 + 0.0990113i
\(545\) −18.0555 + 5.70067i −0.773411 + 0.244190i
\(546\) −4.18089 + 10.0398i −0.178926 + 0.429662i
\(547\) −6.50128 1.38189i −0.277975 0.0590853i 0.0668148 0.997765i \(-0.478716\pi\)
−0.344789 + 0.938680i \(0.612050\pi\)
\(548\) −1.51769 1.10267i −0.0648326 0.0471036i
\(549\) 9.07408 7.29131i 0.387272 0.311186i
\(550\) 25.6545 5.00768i 1.09391 0.213528i
\(551\) 12.3512 21.3928i 0.526177 0.911365i
\(552\) 19.3596 + 5.77449i 0.824000 + 0.245778i
\(553\) −7.29822 + 8.10550i −0.310352 + 0.344681i
\(554\) −3.08624 + 3.42762i −0.131122 + 0.145625i
\(555\) −21.7152 + 10.0863i −0.921758 + 0.428140i
\(556\) −2.95665 3.28369i −0.125390 0.139259i
\(557\) 32.9287 1.39523 0.697616 0.716472i \(-0.254244\pi\)
0.697616 + 0.716472i \(0.254244\pi\)
\(558\) 18.7874 23.0216i 0.795332 0.974583i
\(559\) 5.35292 3.88913i 0.226404 0.164492i
\(560\) 14.4403 + 13.2217i 0.610215 + 0.558717i
\(561\) −9.04383 37.9871i −0.381831 1.60381i
\(562\) 1.44814 + 0.644753i 0.0610860 + 0.0271973i
\(563\) −14.9570 6.65930i −0.630364 0.280656i 0.0665809 0.997781i \(-0.478791\pi\)
−0.696944 + 0.717125i \(0.745458\pi\)
\(564\) 0.159053 0.150364i 0.00669735 0.00633148i
\(565\) 3.94458 + 3.61169i 0.165950 + 0.151945i
\(566\) −13.6061 + 9.88542i −0.571907 + 0.415515i
\(567\) 0.189529 25.0181i 0.00795945 1.05066i
\(568\) −14.2854 −0.599402
\(569\) −12.4687 13.8479i −0.522715 0.580534i 0.422754 0.906244i \(-0.361063\pi\)
−0.945470 + 0.325710i \(0.894397\pi\)
\(570\) −3.53716 + 39.7430i −0.148155 + 1.66465i
\(571\) −26.2483 + 29.1517i −1.09846 + 1.21996i −0.124741 + 0.992189i \(0.539810\pi\)
−0.973715 + 0.227770i \(0.926857\pi\)
\(572\) 1.73574 1.92774i 0.0725751 0.0806028i
\(573\) −5.88894 24.7355i −0.246014 1.03334i
\(574\) 17.5128 30.3331i 0.730971 1.26608i
\(575\) −13.1488 + 14.1226i −0.548341 + 0.588952i
\(576\) −24.8206 9.63575i −1.03419 0.401490i
\(577\) −35.2940 25.6426i −1.46931 1.06751i −0.980814 0.194946i \(-0.937547\pi\)
−0.488493 0.872568i \(-0.662453\pi\)
\(578\) 16.9050 + 3.59327i 0.703155 + 0.149460i
\(579\) 3.27572 + 4.28578i 0.136134 + 0.178111i
\(580\) −2.35848 + 0.744645i −0.0979304 + 0.0309197i
\(581\) 32.7240 6.95571i 1.35762 0.288571i
\(582\) 0.159166 0.0560246i 0.00659764 0.00232229i
\(583\) 25.0984 + 27.8746i 1.03947 + 1.15445i
\(584\) 4.81250 3.49649i 0.199143 0.144686i
\(585\) 10.4770 + 5.49926i 0.433170 + 0.227366i
\(586\) 0.406600 + 0.295412i 0.0167965 + 0.0122034i
\(587\) −0.0391166 0.372170i −0.00161452 0.0153611i 0.993685 0.112206i \(-0.0357916\pi\)
−0.995299 + 0.0968448i \(0.969125\pi\)
\(588\) 0.452568 + 0.0364804i 0.0186636 + 0.00150443i
\(589\) −6.50473 + 61.8883i −0.268023 + 2.55006i
\(590\) 32.0228 + 10.7007i 1.31836 + 0.440540i
\(591\) 0.164756 + 0.347108i 0.00677714 + 0.0142781i
\(592\) −13.0295 14.4708i −0.535511 0.594745i
\(593\) 35.6235 1.46288 0.731442 0.681904i \(-0.238848\pi\)
0.731442 + 0.681904i \(0.238848\pi\)
\(594\) 9.21291 25.5541i 0.378010 1.04850i
\(595\) 13.7002 + 31.4744i 0.561653 + 1.29033i
\(596\) 0.864590 + 0.183774i 0.0354150 + 0.00752768i
\(597\) 10.5556 1.36933i 0.432011 0.0560431i
\(598\) 0.911163 8.66914i 0.0372602 0.354507i
\(599\) 9.58076 + 16.5944i 0.391459 + 0.678027i 0.992642 0.121084i \(-0.0386370\pi\)
−0.601183 + 0.799111i \(0.705304\pi\)
\(600\) 19.3173 17.6618i 0.788627 0.721039i
\(601\) 10.7112 18.5524i 0.436919 0.756767i −0.560531 0.828134i \(-0.689403\pi\)
0.997450 + 0.0713671i \(0.0227362\pi\)
\(602\) 10.8028 + 7.84867i 0.440288 + 0.319888i
\(603\) −18.1339 + 9.15335i −0.738471 + 0.372753i
\(604\) 0.614060 + 1.88988i 0.0249858 + 0.0768983i
\(605\) 11.0256 6.24369i 0.448253 0.253842i
\(606\) 0.289496 + 11.9179i 0.0117600 + 0.484132i
\(607\) −10.9680 18.9971i −0.445177 0.771069i 0.552888 0.833256i \(-0.313526\pi\)
−0.998065 + 0.0621867i \(0.980193\pi\)
\(608\) 15.8279 3.36431i 0.641904 0.136441i
\(609\) 8.39670 12.1678i 0.340252 0.493066i
\(610\) −9.66782 + 5.47481i −0.391438 + 0.221669i
\(611\) −0.500599 0.363707i −0.0202521 0.0147140i
\(612\) −4.20397 4.23594i −0.169935 0.171228i
\(613\) −30.6633 + 22.2782i −1.23848 + 0.899808i −0.997496 0.0707211i \(-0.977470\pi\)
−0.240983 + 0.970529i \(0.577470\pi\)
\(614\) 6.50570 2.89652i 0.262549 0.116894i
\(615\) −31.1833 21.9046i −1.25743 0.883279i
\(616\) 31.3345 + 13.9510i 1.26250 + 0.562103i
\(617\) 1.13655 0.241582i 0.0457559 0.00972572i −0.184977 0.982743i \(-0.559221\pi\)
0.230733 + 0.973017i \(0.425888\pi\)
\(618\) −2.64151 + 14.1032i −0.106257 + 0.567314i
\(619\) −21.8780 24.2979i −0.879349 0.976616i 0.120521 0.992711i \(-0.461543\pi\)
−0.999870 + 0.0160944i \(0.994877\pi\)
\(620\) 4.66474 4.13029i 0.187341 0.165876i
\(621\) 5.58603 + 19.2593i 0.224160 + 0.772848i
\(622\) 1.53791 + 4.73319i 0.0616645 + 0.189784i
\(623\) −6.57292 + 2.92645i −0.263339 + 0.117246i
\(624\) −1.77158 + 9.45856i −0.0709198 + 0.378645i
\(625\) 6.92874 + 24.0207i 0.277149 + 0.960827i
\(626\) −18.4344 31.9293i −0.736787 1.27615i
\(627\) 13.1754 + 55.3411i 0.526176 + 2.21011i
\(628\) −2.33457 0.496229i −0.0931596 0.0198017i
\(629\) −10.5498 32.4690i −0.420649 1.29463i
\(630\) −4.02115 + 23.5384i −0.160207 + 0.937791i
\(631\) 9.90042 30.4703i 0.394129 1.21301i −0.535508 0.844530i \(-0.679880\pi\)
0.929638 0.368475i \(-0.120120\pi\)
\(632\) −5.92921 + 10.2697i −0.235851 + 0.408507i
\(633\) 0.847860 + 34.9045i 0.0336994 + 1.38733i
\(634\) −9.70039 4.31889i −0.385252 0.171525i
\(635\) 0.900451 + 1.26134i 0.0357333 + 0.0500546i
\(636\) 5.49345 + 1.63856i 0.217830 + 0.0649731i
\(637\) −0.134170 1.27654i −0.00531602 0.0505785i
\(638\) 12.9859 9.43482i 0.514117 0.373528i
\(639\) −7.67773 11.9213i −0.303726 0.471598i
\(640\) 14.1493 + 8.32709i 0.559301 + 0.329157i
\(641\) −0.407249 3.87472i −0.0160854 0.153042i 0.983531 0.180740i \(-0.0578491\pi\)
−0.999616 + 0.0276975i \(0.991182\pi\)
\(642\) −10.9003 + 6.65136i −0.430201 + 0.262508i
\(643\) 19.1932 + 33.2436i 0.756906 + 1.31100i 0.944421 + 0.328737i \(0.106623\pi\)
−0.187516 + 0.982262i \(0.560044\pi\)
\(644\) −3.78014 + 0.803493i −0.148958 + 0.0316620i
\(645\) 9.54769 10.9501i 0.375940 0.431161i
\(646\) −55.6490 11.8286i −2.18948 0.465388i
\(647\) 4.44041 + 13.6662i 0.174570 + 0.537272i 0.999614 0.0277973i \(-0.00884929\pi\)
−0.825043 + 0.565070i \(0.808849\pi\)
\(648\) −5.45373 26.6489i −0.214243 1.04687i
\(649\) 48.1384 1.88960
\(650\) −9.02484 6.78958i −0.353983 0.266309i
\(651\) −6.85632 + 36.6063i −0.268720 + 1.43472i
\(652\) −0.601386 + 5.72180i −0.0235521 + 0.224083i
\(653\) 17.4904 19.4251i 0.684454 0.760163i −0.296367 0.955074i \(-0.595775\pi\)
0.980821 + 0.194911i \(0.0624418\pi\)
\(654\) 7.21988 17.3374i 0.282320 0.677946i
\(655\) 12.4475 + 1.41325i 0.486364 + 0.0552204i
\(656\) 9.57704 29.4751i 0.373920 1.15081i
\(657\) 5.50434 + 2.13687i 0.214745 + 0.0833674i
\(658\) 0.385886 1.18764i 0.0150434 0.0462988i
\(659\) 0.0665847 + 0.633511i 0.00259377 + 0.0246781i 0.995742 0.0921814i \(-0.0293840\pi\)
−0.993148 + 0.116859i \(0.962717\pi\)
\(660\) 2.76881 4.97743i 0.107776 0.193746i
\(661\) −0.131816 + 1.25414i −0.00512704 + 0.0487805i −0.996786 0.0801068i \(-0.974474\pi\)
0.991659 + 0.128887i \(0.0411405\pi\)
\(662\) −18.9533 8.43855i −0.736641 0.327974i
\(663\) −9.58252 + 13.8862i −0.372154 + 0.539297i
\(664\) 33.2287 14.7944i 1.28952 0.574133i
\(665\) −19.9590 45.8533i −0.773977 1.77811i
\(666\) 6.23363 22.9166i 0.241548 0.888002i
\(667\) −3.66169 + 11.2695i −0.141781 + 0.436357i
\(668\) 1.43302 2.48207i 0.0554453 0.0960341i
\(669\) 17.2001 10.4955i 0.664995 0.405779i
\(670\) 18.4883 5.83735i 0.714267 0.225516i
\(671\) −10.5995 + 11.7719i −0.409189 + 0.454450i
\(672\) 9.60379 1.24586i 0.370474 0.0480602i
\(673\) −2.56181 + 1.14059i −0.0987505 + 0.0439666i −0.455517 0.890227i \(-0.650546\pi\)
0.356767 + 0.934193i \(0.383879\pi\)
\(674\) −22.2955 −0.858791
\(675\) 25.1211 + 6.62811i 0.966910 + 0.255116i
\(676\) 3.56220 0.137008
\(677\) 37.3176 16.6149i 1.43423 0.638561i 0.465134 0.885240i \(-0.346006\pi\)
0.969097 + 0.246680i \(0.0793395\pi\)
\(678\) −5.26085 + 0.682471i −0.202042 + 0.0262101i
\(679\) −0.141513 + 0.157166i −0.00543078 + 0.00603149i
\(680\) 21.6845 + 30.3752i 0.831561 + 1.16484i
\(681\) 2.57332 1.57024i 0.0986100 0.0601717i
\(682\) −20.2182 + 35.0189i −0.774193 + 1.34094i
\(683\) −1.79495 + 5.52428i −0.0686817 + 0.211381i −0.979506 0.201413i \(-0.935447\pi\)
0.910825 + 0.412793i \(0.135447\pi\)
\(684\) 6.12452 + 6.17109i 0.234177 + 0.235957i
\(685\) −2.51592 + 11.3697i −0.0961282 + 0.434415i
\(686\) −20.3974 + 9.08149i −0.778774 + 0.346733i
\(687\) 3.76541 5.45654i 0.143659 0.208180i
\(688\) 10.7937 + 4.80567i 0.411506 + 0.183214i
\(689\) 1.69402 16.1175i 0.0645371 0.614029i
\(690\) −2.30403 19.0005i −0.0877131 0.723337i
\(691\) 3.28063 + 31.2131i 0.124801 + 1.18740i 0.860268 + 0.509842i \(0.170296\pi\)
−0.735467 + 0.677560i \(0.763037\pi\)
\(692\) 0.694935 2.13879i 0.0264174 0.0813045i
\(693\) 5.19859 + 33.6470i 0.197478 + 1.27814i
\(694\) −7.87967 + 24.2511i −0.299108 + 0.920560i
\(695\) −11.3644 + 24.9629i −0.431075 + 0.946895i
\(696\) 6.17913 14.8382i 0.234219 0.562440i
\(697\) 36.3584 40.3801i 1.37717 1.52951i
\(698\) 1.25391 11.9301i 0.0474611 0.451562i
\(699\) −0.661467 + 3.53161i −0.0250190 + 0.133578i
\(700\) −1.62639 + 4.73546i −0.0614716 + 0.178984i
\(701\) −28.7744 −1.08679 −0.543397 0.839476i \(-0.682862\pi\)
−0.543397 + 0.839476i \(0.682862\pi\)
\(702\) −10.8686 + 4.42976i −0.410210 + 0.167190i
\(703\) 15.3694 + 47.3022i 0.579669 + 1.78404i
\(704\) 35.4406 + 7.53312i 1.33572 + 0.283915i
\(705\) −1.24984 0.532741i −0.0470717 0.0200642i
\(706\) −21.9765 + 4.67124i −0.827095 + 0.175805i
\(707\) −7.47087 12.9399i −0.280971 0.486656i
\(708\) 6.28028 3.83222i 0.236027 0.144024i
\(709\) 3.85894 + 36.7153i 0.144925 + 1.37887i 0.789227 + 0.614102i \(0.210481\pi\)
−0.644302 + 0.764771i \(0.722852\pi\)
\(710\) 5.40151 + 12.4093i 0.202715 + 0.465712i
\(711\) −11.7568 + 0.571503i −0.440915 + 0.0214330i
\(712\) −6.32859 + 4.59799i −0.237174 + 0.172317i
\(713\) −3.12026 29.6873i −0.116855 1.11180i
\(714\) −32.6283 9.73219i −1.22108 0.364218i
\(715\) −15.2719 5.10323i −0.571137 0.190850i
\(716\) −4.87512 2.17054i −0.182192 0.0811170i
\(717\) −1.10113 45.3313i −0.0411226 1.69293i
\(718\) −0.148015 + 0.256369i −0.00552387 + 0.00956762i
\(719\) −9.45641 + 29.1038i −0.352665 + 1.08539i 0.604687 + 0.796463i \(0.293298\pi\)
−0.957351 + 0.288926i \(0.906702\pi\)
\(720\) 0.849990 + 21.1122i 0.0316773 + 0.786806i
\(721\) −5.55725 17.1035i −0.206963 0.636966i
\(722\) 57.2732 + 12.1738i 2.13149 + 0.453062i
\(723\) 9.90252 + 41.5939i 0.368279 + 1.54689i
\(724\) −4.21583 7.30203i −0.156680 0.271378i
\(725\) 10.0811 + 11.5785i 0.374401 + 0.430016i
\(726\) −2.31374 + 12.3532i −0.0858711 + 0.458471i
\(727\) −39.8104 + 17.7247i −1.47649 + 0.657374i −0.977825 0.209422i \(-0.932842\pi\)
−0.498662 + 0.866797i \(0.666175\pi\)
\(728\) −4.57958 14.0945i −0.169730 0.522376i
\(729\) 19.3076 18.8737i 0.715096 0.699026i
\(730\) −4.85696 2.85840i −0.179764 0.105794i
\(731\) 13.8611 + 15.3943i 0.512670 + 0.569378i
\(732\) −0.445697 + 2.37961i −0.0164734 + 0.0879528i
\(733\) −39.8802 + 8.47680i −1.47301 + 0.313098i −0.873325 0.487139i \(-0.838041\pi\)
−0.599685 + 0.800236i \(0.704707\pi\)
\(734\) −15.1118 6.72820i −0.557786 0.248342i
\(735\) −0.913565 2.66618i −0.0336974 0.0983434i
\(736\) −7.09103 + 3.15713i −0.261379 + 0.116373i
\(737\) 22.3633 16.2479i 0.823762 0.598498i
\(738\) 36.5480 9.64478i 1.34535 0.355029i
\(739\) 10.9000 + 7.91934i 0.400965 + 0.291318i 0.769934 0.638124i \(-0.220289\pi\)
−0.368969 + 0.929442i \(0.620289\pi\)
\(740\) 2.06327 4.53215i 0.0758472 0.166605i
\(741\) 13.9602 20.2300i 0.512841 0.743169i
\(742\) 31.9914 6.79998i 1.17444 0.249635i
\(743\) −11.5451 19.9968i −0.423550 0.733610i 0.572734 0.819742i \(-0.305883\pi\)
−0.996284 + 0.0861312i \(0.972550\pi\)
\(744\) 0.983283 + 40.4796i 0.0360489 + 1.48405i
\(745\) −1.09599 5.37611i −0.0401538 0.196966i
\(746\) 13.8320 + 42.5705i 0.506426 + 1.55862i
\(747\) 30.2049 + 19.7783i 1.10514 + 0.723652i
\(748\) 6.57029 + 4.77359i 0.240234 + 0.174540i
\(749\) 8.00228 13.8603i 0.292397 0.506446i
\(750\) −22.6464 10.1022i −0.826929 0.368880i
\(751\) −14.0513 24.3376i −0.512739 0.888090i −0.999891 0.0147729i \(-0.995297\pi\)
0.487152 0.873317i \(-0.338036\pi\)
\(752\) 0.115498 1.09889i 0.00421178 0.0400724i
\(753\) −33.5404 + 4.35107i −1.22228 + 0.158562i
\(754\) −6.78374 1.44193i −0.247049 0.0525119i
\(755\) 9.23503 8.17695i 0.336097 0.297590i
\(756\) 3.35680 + 3.97583i 0.122086 + 0.144600i
\(757\) −17.4304 −0.633517 −0.316759 0.948506i \(-0.602595\pi\)
−0.316759 + 0.948506i \(0.602595\pi\)
\(758\) −15.1619 16.8390i −0.550706 0.611621i
\(759\) −11.7014 24.6525i −0.424733 0.894828i
\(760\) −31.5908 44.2519i −1.14592 1.60518i
\(761\) 2.25392 21.4446i 0.0817044 0.777365i −0.874571 0.484898i \(-0.838857\pi\)
0.956275 0.292468i \(-0.0944764\pi\)
\(762\) −1.53224 0.123510i −0.0555073 0.00447431i
\(763\) 2.46047 + 23.4098i 0.0890749 + 0.847491i
\(764\) 4.27828 + 3.10835i 0.154783 + 0.112456i
\(765\) −13.6940 + 34.4211i −0.495107 + 1.24450i
\(766\) 28.5047 20.7098i 1.02992 0.748277i
\(767\) −13.9172 15.4566i −0.502522 0.558107i
\(768\) 13.6393 4.80087i 0.492165 0.173236i
\(769\) 51.2684 10.8974i 1.84879 0.392972i 0.856419 0.516282i \(-0.172684\pi\)
0.992368 + 0.123310i \(0.0393510\pi\)
\(770\) 0.270792 32.4944i 0.00975866 1.17102i
\(771\) 23.1372 +