Properties

Label 114.2.l.a.41.2
Level $114$
Weight $2$
Character 114.41
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.2
Root \(-1.73189 - 0.0237018i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.a.89.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 - 0.642788i) q^{2} +(-0.845418 - 1.51171i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-2.22841 - 0.392929i) q^{5} +(-0.324081 + 1.70146i) q^{6} +(-1.16829 - 2.02354i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.57054 + 2.55605i) q^{9} +O(q^{10})\) \(q+(-0.766044 - 0.642788i) q^{2} +(-0.845418 - 1.51171i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-2.22841 - 0.392929i) q^{5} +(-0.324081 + 1.70146i) q^{6} +(-1.16829 - 2.02354i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-1.57054 + 2.55605i) q^{9} +(1.45449 + 1.73339i) q^{10} +(-2.52163 - 1.45586i) q^{11} +(1.34194 - 1.09508i) q^{12} +(-0.451929 + 1.24167i) q^{13} +(-0.405743 + 2.30108i) q^{14} +(1.28994 + 3.70090i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(3.72112 - 4.43466i) q^{17} +(2.84610 - 0.948529i) q^{18} +(-1.79800 - 3.97079i) q^{19} -2.26279i q^{20} +(-2.07131 + 3.47685i) q^{21} +(0.995869 + 2.73613i) q^{22} +(8.06194 - 1.42154i) q^{23} +(-1.73189 - 0.0237018i) q^{24} +(0.112953 + 0.0411116i) q^{25} +(1.14432 - 0.660676i) q^{26} +(5.19177 + 0.213263i) q^{27} +(1.78993 - 1.50193i) q^{28} +(-1.64718 + 1.38215i) q^{29} +(1.39074 - 3.66421i) q^{30} +(5.27928 - 3.04799i) q^{31} +(0.939693 + 0.342020i) q^{32} +(-0.0690131 + 5.04278i) q^{33} +(-5.70108 + 1.00525i) q^{34} +(1.80832 + 4.96833i) q^{35} +(-2.78994 - 1.10282i) q^{36} +2.98954i q^{37} +(-1.17503 + 4.19754i) q^{38} +(2.25911 - 0.366540i) q^{39} +(-1.45449 + 1.73339i) q^{40} +(-8.52555 + 3.10304i) q^{41} +(3.82159 - 1.33201i) q^{42} +(-0.0666074 + 0.377749i) q^{43} +(0.995869 - 2.73613i) q^{44} +(4.50415 - 5.07883i) q^{45} +(-7.08955 - 4.09315i) q^{46} +(-6.57494 - 7.83571i) q^{47} +(1.31147 + 1.13139i) q^{48} +(0.770194 - 1.33401i) q^{49} +(-0.0601011 - 0.104098i) q^{50} +(-9.84981 - 1.87612i) q^{51} +(-1.30128 - 0.229450i) q^{52} +(0.494197 + 2.80273i) q^{53} +(-3.84005 - 3.50058i) q^{54} +(5.04717 + 4.23508i) q^{55} -2.33658 q^{56} +(-4.48263 + 6.07503i) q^{57} +2.15025 q^{58} +(2.53779 + 2.12946i) q^{59} +(-3.42068 + 1.91300i) q^{60} +(1.01879 + 5.77787i) q^{61} +(-6.00337 - 1.05856i) q^{62} +(7.00712 + 0.191828i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.49497 - 2.58936i) q^{65} +(3.29431 - 3.81864i) q^{66} +(-10.4361 - 12.4373i) q^{67} +(5.01345 + 2.89452i) q^{68} +(-8.96466 - 10.9855i) q^{69} +(1.80832 - 4.96833i) q^{70} +(-2.29622 + 13.0225i) q^{71} +(1.42834 + 2.63815i) q^{72} +(5.84733 - 2.12826i) q^{73} +(1.92164 - 2.29012i) q^{74} +(-0.0333438 - 0.205509i) q^{75} +(3.59825 - 2.46020i) q^{76} +6.80348i q^{77} +(-1.96618 - 1.17134i) q^{78} +(1.77569 + 4.87866i) q^{79} +(2.22841 - 0.392929i) q^{80} +(-4.06683 - 8.02876i) q^{81} +(8.52555 + 3.10304i) q^{82} +(1.62533 - 0.938386i) q^{83} +(-3.78371 - 1.43609i) q^{84} +(-10.0347 + 8.42009i) q^{85} +(0.293837 - 0.246558i) q^{86} +(3.48197 + 1.32157i) q^{87} +(-2.52163 + 1.45586i) q^{88} +(5.82289 + 2.11936i) q^{89} +(-6.71498 + 0.995397i) q^{90} +(3.04054 - 0.536130i) q^{91} +(2.79988 + 7.69261i) q^{92} +(-9.07088 - 5.40391i) q^{93} +10.2288i q^{94} +(2.44644 + 9.55504i) q^{95} +(-0.277398 - 1.70969i) q^{96} +(6.13336 - 7.30946i) q^{97} +(-1.44749 + 0.526843i) q^{98} +(7.68157 - 4.15893i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 3 q^{6} + 9 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 3 q^{6} + 9 q^{8} - 12 q^{13} + 12 q^{14} - 24 q^{15} - 6 q^{17} - 6 q^{19} - 24 q^{22} - 18 q^{25} - 18 q^{26} - 3 q^{27} + 6 q^{28} + 6 q^{29} - 27 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} - 3 q^{38} + 6 q^{39} - 3 q^{41} - 6 q^{43} - 24 q^{44} + 54 q^{45} + 18 q^{46} - 30 q^{47} + 6 q^{48} + 21 q^{49} - 3 q^{50} - 33 q^{51} - 6 q^{52} + 60 q^{53} + 30 q^{55} + 12 q^{57} + 12 q^{58} - 3 q^{59} + 18 q^{60} + 54 q^{61} - 6 q^{62} + 84 q^{63} - 9 q^{64} - 24 q^{65} + 30 q^{66} - 15 q^{67} + 27 q^{68} + 24 q^{69} + 24 q^{70} - 36 q^{71} - 42 q^{73} - 6 q^{74} - 18 q^{78} - 6 q^{79} + 3 q^{82} - 36 q^{83} - 24 q^{84} + 6 q^{86} - 54 q^{87} + 60 q^{89} - 12 q^{90} - 18 q^{91} - 84 q^{93} - 6 q^{95} + 9 q^{97} - 12 q^{98} - 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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
\(3\) −0.845418 1.51171i −0.488102 0.872786i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −2.22841 0.392929i −0.996575 0.175723i −0.348508 0.937306i \(-0.613311\pi\)
−0.648067 + 0.761583i \(0.724423\pi\)
\(6\) −0.324081 + 1.70146i −0.132306 + 0.694619i
\(7\) −1.16829 2.02354i −0.441572 0.764826i 0.556234 0.831026i \(-0.312246\pi\)
−0.997806 + 0.0661999i \(0.978912\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −1.57054 + 2.55605i −0.523512 + 0.852018i
\(10\) 1.45449 + 1.73339i 0.459950 + 0.548148i
\(11\) −2.52163 1.45586i −0.760299 0.438959i 0.0691039 0.997609i \(-0.477986\pi\)
−0.829403 + 0.558650i \(0.811319\pi\)
\(12\) 1.34194 1.09508i 0.387384 0.316122i
\(13\) −0.451929 + 1.24167i −0.125343 + 0.344376i −0.986453 0.164041i \(-0.947547\pi\)
0.861111 + 0.508417i \(0.169769\pi\)
\(14\) −0.405743 + 2.30108i −0.108439 + 0.614990i
\(15\) 1.28994 + 3.70090i 0.333062 + 0.955568i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 3.72112 4.43466i 0.902504 1.07556i −0.0942898 0.995545i \(-0.530058\pi\)
0.996793 0.0800172i \(-0.0254975\pi\)
\(18\) 2.84610 0.948529i 0.670832 0.223571i
\(19\) −1.79800 3.97079i −0.412489 0.910962i
\(20\) 2.26279i 0.505974i
\(21\) −2.07131 + 3.47685i −0.451997 + 0.758712i
\(22\) 0.995869 + 2.73613i 0.212320 + 0.583344i
\(23\) 8.06194 1.42154i 1.68103 0.296411i 0.750023 0.661412i \(-0.230042\pi\)
0.931007 + 0.365001i \(0.118931\pi\)
\(24\) −1.73189 0.0237018i −0.353520 0.00483811i
\(25\) 0.112953 + 0.0411116i 0.0225906 + 0.00822231i
\(26\) 1.14432 0.660676i 0.224421 0.129569i
\(27\) 5.19177 + 0.213263i 0.999157 + 0.0410425i
\(28\) 1.78993 1.50193i 0.338264 0.283837i
\(29\) −1.64718 + 1.38215i −0.305875 + 0.256659i −0.782784 0.622293i \(-0.786201\pi\)
0.476910 + 0.878952i \(0.341757\pi\)
\(30\) 1.39074 3.66421i 0.253913 0.668991i
\(31\) 5.27928 3.04799i 0.948186 0.547436i 0.0556692 0.998449i \(-0.482271\pi\)
0.892517 + 0.451014i \(0.148937\pi\)
\(32\) 0.939693 + 0.342020i 0.166116 + 0.0604612i
\(33\) −0.0690131 + 5.04278i −0.0120136 + 0.877836i
\(34\) −5.70108 + 1.00525i −0.977728 + 0.172400i
\(35\) 1.80832 + 4.96833i 0.305662 + 0.839801i
\(36\) −2.78994 1.10282i −0.464990 0.183804i
\(37\) 2.98954i 0.491477i 0.969336 + 0.245738i \(0.0790304\pi\)
−0.969336 + 0.245738i \(0.920970\pi\)
\(38\) −1.17503 + 4.19754i −0.190615 + 0.680930i
\(39\) 2.25911 0.366540i 0.361747 0.0586934i
\(40\) −1.45449 + 1.73339i −0.229975 + 0.274074i
\(41\) −8.52555 + 3.10304i −1.33147 + 0.484614i −0.907115 0.420883i \(-0.861720\pi\)
−0.424352 + 0.905497i \(0.639498\pi\)
\(42\) 3.82159 1.33201i 0.589685 0.205534i
\(43\) −0.0666074 + 0.377749i −0.0101575 + 0.0576062i −0.989465 0.144771i \(-0.953756\pi\)
0.979308 + 0.202377i \(0.0648666\pi\)
\(44\) 0.995869 2.73613i 0.150133 0.412487i
\(45\) 4.50415 5.07883i 0.671439 0.757107i
\(46\) −7.08955 4.09315i −1.04530 0.603502i
\(47\) −6.57494 7.83571i −0.959054 1.14296i −0.989661 0.143424i \(-0.954189\pi\)
0.0306076 0.999531i \(-0.490256\pi\)
\(48\) 1.31147 + 1.13139i 0.189294 + 0.163303i
\(49\) 0.770194 1.33401i 0.110028 0.190574i
\(50\) −0.0601011 0.104098i −0.00849958 0.0147217i
\(51\) −9.84981 1.87612i −1.37925 0.262709i
\(52\) −1.30128 0.229450i −0.180455 0.0318191i
\(53\) 0.494197 + 2.80273i 0.0678832 + 0.384985i 0.999754 + 0.0221937i \(0.00706506\pi\)
−0.931870 + 0.362791i \(0.881824\pi\)
\(54\) −3.84005 3.50058i −0.522564 0.476368i
\(55\) 5.04717 + 4.23508i 0.680560 + 0.571058i
\(56\) −2.33658 −0.312239
\(57\) −4.48263 + 6.07503i −0.593739 + 0.804658i
\(58\) 2.15025 0.282341
\(59\) 2.53779 + 2.12946i 0.330392 + 0.277232i 0.792860 0.609404i \(-0.208591\pi\)
−0.462468 + 0.886636i \(0.653036\pi\)
\(60\) −3.42068 + 1.91300i −0.441608 + 0.246967i
\(61\) 1.01879 + 5.77787i 0.130443 + 0.739780i 0.977925 + 0.208956i \(0.0670064\pi\)
−0.847482 + 0.530824i \(0.821882\pi\)
\(62\) −6.00337 1.05856i −0.762429 0.134437i
\(63\) 7.00712 + 0.191828i 0.882814 + 0.0241681i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 1.49497 2.58936i 0.185428 0.321171i
\(66\) 3.29431 3.81864i 0.405501 0.470042i
\(67\) −10.4361 12.4373i −1.27497 1.51945i −0.735668 0.677342i \(-0.763132\pi\)
−0.539305 0.842111i \(-0.681313\pi\)
\(68\) 5.01345 + 2.89452i 0.607970 + 0.351012i
\(69\) −8.96466 10.9855i −1.07922 1.32250i
\(70\) 1.80832 4.96833i 0.216136 0.593829i
\(71\) −2.29622 + 13.0225i −0.272511 + 1.54549i 0.474247 + 0.880392i \(0.342720\pi\)
−0.746758 + 0.665095i \(0.768391\pi\)
\(72\) 1.42834 + 2.63815i 0.168331 + 0.310909i
\(73\) 5.84733 2.12826i 0.684379 0.249093i 0.0236522 0.999720i \(-0.492471\pi\)
0.660726 + 0.750627i \(0.270248\pi\)
\(74\) 1.92164 2.29012i 0.223386 0.266221i
\(75\) −0.0333438 0.205509i −0.00385021 0.0237301i
\(76\) 3.59825 2.46020i 0.412747 0.282205i
\(77\) 6.80348i 0.775329i
\(78\) −1.96618 1.17134i −0.222627 0.132628i
\(79\) 1.77569 + 4.87866i 0.199781 + 0.548893i 0.998612 0.0526618i \(-0.0167705\pi\)
−0.798832 + 0.601554i \(0.794548\pi\)
\(80\) 2.22841 0.392929i 0.249144 0.0439308i
\(81\) −4.06683 8.02876i −0.451870 0.892084i
\(82\) 8.52555 + 3.10304i 0.941489 + 0.342674i
\(83\) 1.62533 0.938386i 0.178403 0.103001i −0.408139 0.912920i \(-0.633822\pi\)
0.586542 + 0.809919i \(0.300489\pi\)
\(84\) −3.78371 1.43609i −0.412837 0.156691i
\(85\) −10.0347 + 8.42009i −1.08841 + 0.913288i
\(86\) 0.293837 0.246558i 0.0316852 0.0265871i
\(87\) 3.48197 + 1.32157i 0.373307 + 0.141687i
\(88\) −2.52163 + 1.45586i −0.268806 + 0.155195i
\(89\) 5.82289 + 2.11936i 0.617225 + 0.224651i 0.631661 0.775244i \(-0.282373\pi\)
−0.0144367 + 0.999896i \(0.504595\pi\)
\(90\) −6.71498 + 0.995397i −0.707821 + 0.104924i
\(91\) 3.04054 0.536130i 0.318735 0.0562017i
\(92\) 2.79988 + 7.69261i 0.291908 + 0.802010i
\(93\) −9.07088 5.40391i −0.940606 0.560360i
\(94\) 10.2288i 1.05502i
\(95\) 2.44644 + 9.55504i 0.251000 + 0.980326i
\(96\) −0.277398 1.70969i −0.0283118 0.174495i
\(97\) 6.13336 7.30946i 0.622748 0.742163i −0.358792 0.933418i \(-0.616811\pi\)
0.981540 + 0.191255i \(0.0612557\pi\)
\(98\) −1.44749 + 0.526843i −0.146219 + 0.0532192i
\(99\) 7.68157 4.15893i 0.772027 0.417988i
\(100\) −0.0208729 + 0.118376i −0.00208729 + 0.0118376i
\(101\) 4.28105 11.7621i 0.425980 1.17037i −0.522251 0.852792i \(-0.674908\pi\)
0.948232 0.317580i \(-0.102870\pi\)
\(102\) 6.33945 + 7.76853i 0.627699 + 0.769199i
\(103\) 7.59279 + 4.38370i 0.748140 + 0.431939i 0.825021 0.565102i \(-0.191163\pi\)
−0.0768818 + 0.997040i \(0.524496\pi\)
\(104\) 0.849349 + 1.01221i 0.0832855 + 0.0992558i
\(105\) 5.98188 6.93398i 0.583772 0.676687i
\(106\) 1.42298 2.46468i 0.138212 0.239391i
\(107\) −4.04583 7.00758i −0.391125 0.677449i 0.601473 0.798893i \(-0.294581\pi\)
−0.992598 + 0.121444i \(0.961247\pi\)
\(108\) 0.691519 + 5.14993i 0.0665415 + 0.495552i
\(109\) 7.26213 + 1.28051i 0.695586 + 0.122651i 0.510252 0.860025i \(-0.329552\pi\)
0.185334 + 0.982676i \(0.440663\pi\)
\(110\) −1.14410 6.48852i −0.109086 0.618656i
\(111\) 4.51931 2.52741i 0.428954 0.239891i
\(112\) 1.78993 + 1.50193i 0.169132 + 0.141919i
\(113\) 14.8779 1.39960 0.699799 0.714340i \(-0.253273\pi\)
0.699799 + 0.714340i \(0.253273\pi\)
\(114\) 7.33885 1.77237i 0.687346 0.165998i
\(115\) −18.5239 −1.72736
\(116\) −1.64718 1.38215i −0.152937 0.128330i
\(117\) −2.46399 3.10524i −0.227796 0.287079i
\(118\) −0.575270 3.26252i −0.0529579 0.300339i
\(119\) −13.3210 2.34886i −1.22114 0.215320i
\(120\) 3.85004 + 0.733326i 0.351459 + 0.0669432i
\(121\) −1.26093 2.18399i −0.114630 0.198545i
\(122\) 2.93350 5.08097i 0.265587 0.460009i
\(123\) 11.8986 + 10.2648i 1.07286 + 0.925545i
\(124\) 3.91842 + 4.66980i 0.351885 + 0.419360i
\(125\) 9.56260 + 5.52097i 0.855305 + 0.493811i
\(126\) −5.24446 4.65104i −0.467214 0.414347i
\(127\) −2.54056 + 6.98012i −0.225438 + 0.619386i −0.999913 0.0132192i \(-0.995792\pi\)
0.774475 + 0.632605i \(0.218014\pi\)
\(128\) −0.173648 + 0.984808i −0.0153485 + 0.0870455i
\(129\) 0.627359 0.218665i 0.0552358 0.0192524i
\(130\) −2.80962 + 1.02262i −0.246420 + 0.0896896i
\(131\) 11.4406 13.6344i 0.999574 1.19125i 0.0180637 0.999837i \(-0.494250\pi\)
0.981510 0.191409i \(-0.0613057\pi\)
\(132\) −4.97816 + 0.807705i −0.433293 + 0.0703017i
\(133\) −5.93447 + 8.27736i −0.514584 + 0.717738i
\(134\) 16.2357i 1.40255i
\(135\) −11.4856 2.51523i −0.988523 0.216477i
\(136\) −1.97997 5.43991i −0.169781 0.466468i
\(137\) −16.1747 + 2.85204i −1.38190 + 0.243666i −0.814685 0.579904i \(-0.803090\pi\)
−0.567215 + 0.823570i \(0.691979\pi\)
\(138\) −0.194030 + 14.1778i −0.0165169 + 1.20689i
\(139\) −18.1680 6.61260i −1.54099 0.560873i −0.574705 0.818360i \(-0.694883\pi\)
−0.966282 + 0.257487i \(0.917106\pi\)
\(140\) −4.57884 + 2.64359i −0.386982 + 0.223424i
\(141\) −6.28675 + 16.5639i −0.529440 + 1.39493i
\(142\) 10.1297 8.49984i 0.850067 0.713290i
\(143\) 2.94729 2.47307i 0.246465 0.206809i
\(144\) 0.601600 2.93906i 0.0501333 0.244922i
\(145\) 4.21369 2.43277i 0.349928 0.202031i
\(146\) −5.84733 2.12826i −0.483929 0.176136i
\(147\) −2.66778 0.0365100i −0.220035 0.00301129i
\(148\) −2.94412 + 0.519128i −0.242005 + 0.0426720i
\(149\) 2.20295 + 6.05256i 0.180473 + 0.495845i 0.996634 0.0819794i \(-0.0261242\pi\)
−0.816161 + 0.577824i \(0.803902\pi\)
\(150\) −0.106556 + 0.178862i −0.00870024 + 0.0146040i
\(151\) 3.02833i 0.246442i −0.992379 0.123221i \(-0.960678\pi\)
0.992379 0.123221i \(-0.0393223\pi\)
\(152\) −4.33781 0.428283i −0.351843 0.0347384i
\(153\) 5.49107 + 16.4762i 0.443926 + 1.33202i
\(154\) 4.37319 5.21177i 0.352402 0.419976i
\(155\) −12.9620 + 4.71780i −1.04114 + 0.378942i
\(156\) 0.753261 + 2.16114i 0.0603092 + 0.173029i
\(157\) 3.32082 18.8333i 0.265030 1.50306i −0.503918 0.863751i \(-0.668109\pi\)
0.768949 0.639311i \(-0.220780\pi\)
\(158\) 1.77569 4.87866i 0.141266 0.388126i
\(159\) 3.81912 3.11656i 0.302876 0.247160i
\(160\) −1.95963 1.13139i −0.154922 0.0894445i
\(161\) −12.2952 14.6529i −0.968999 1.15481i
\(162\) −2.04541 + 8.76449i −0.160703 + 0.688603i
\(163\) −3.09435 + 5.35958i −0.242368 + 0.419794i −0.961388 0.275195i \(-0.911258\pi\)
0.719020 + 0.694989i \(0.244591\pi\)
\(164\) −4.53635 7.85718i −0.354229 0.613543i
\(165\) 2.13524 11.2103i 0.166229 0.872718i
\(166\) −1.84826 0.325898i −0.143453 0.0252946i
\(167\) −0.758731 4.30298i −0.0587124 0.332975i 0.941277 0.337636i \(-0.109627\pi\)
−0.999989 + 0.00466148i \(0.998516\pi\)
\(168\) 1.97539 + 3.53223i 0.152404 + 0.272518i
\(169\) 8.62108 + 7.23395i 0.663160 + 0.556458i
\(170\) 13.0993 1.00467
\(171\) 12.9734 + 1.64049i 0.992100 + 0.125452i
\(172\) −0.383577 −0.0292474
\(173\) −11.4117 9.57556i −0.867616 0.728016i 0.0959786 0.995383i \(-0.469402\pi\)
−0.963595 + 0.267367i \(0.913846\pi\)
\(174\) −1.81786 3.25055i −0.137811 0.246424i
\(175\) −0.0487712 0.276595i −0.00368676 0.0209086i
\(176\) 2.86749 + 0.505616i 0.216145 + 0.0381122i
\(177\) 1.07363 5.63668i 0.0806991 0.423679i
\(178\) −3.09829 5.36640i −0.232227 0.402229i
\(179\) −1.68012 + 2.91005i −0.125578 + 0.217507i −0.921959 0.387288i \(-0.873412\pi\)
0.796381 + 0.604796i \(0.206745\pi\)
\(180\) 5.78380 + 3.55379i 0.431099 + 0.264884i
\(181\) 12.7706 + 15.2194i 0.949231 + 1.13125i 0.991232 + 0.132132i \(0.0421822\pi\)
−0.0420013 + 0.999118i \(0.513373\pi\)
\(182\) −2.67381 1.54372i −0.198196 0.114428i
\(183\) 7.87315 6.42483i 0.582000 0.474937i
\(184\) 2.79988 7.69261i 0.206410 0.567107i
\(185\) 1.17467 6.66191i 0.0863638 0.489794i
\(186\) 3.47513 + 9.97028i 0.254809 + 0.731057i
\(187\) −15.8395 + 5.76511i −1.15830 + 0.421587i
\(188\) 6.57494 7.83571i 0.479527 0.571478i
\(189\) −5.63396 10.7549i −0.409810 0.782305i
\(190\) 4.26778 8.89213i 0.309617 0.645103i
\(191\) 10.2346i 0.740548i −0.928923 0.370274i \(-0.879264\pi\)
0.928923 0.370274i \(-0.120736\pi\)
\(192\) −0.886471 + 1.48801i −0.0639755 + 0.107388i
\(193\) −0.784644 2.15579i −0.0564799 0.155177i 0.908244 0.418441i \(-0.137423\pi\)
−0.964724 + 0.263264i \(0.915201\pi\)
\(194\) −9.39685 + 1.65692i −0.674655 + 0.118960i
\(195\) −5.17824 0.0708669i −0.370822 0.00507489i
\(196\) 1.44749 + 0.526843i 0.103392 + 0.0376317i
\(197\) −5.46822 + 3.15708i −0.389595 + 0.224933i −0.681984 0.731367i \(-0.738883\pi\)
0.292390 + 0.956299i \(0.405550\pi\)
\(198\) −8.55774 1.75169i −0.608172 0.124487i
\(199\) −7.96251 + 6.68134i −0.564447 + 0.473628i −0.879798 0.475348i \(-0.842322\pi\)
0.315351 + 0.948975i \(0.397878\pi\)
\(200\) 0.0920802 0.0772645i 0.00651105 0.00546342i
\(201\) −9.97867 + 26.2910i −0.703841 + 1.85443i
\(202\) −10.8400 + 6.25847i −0.762699 + 0.440345i
\(203\) 4.72123 + 1.71839i 0.331365 + 0.120607i
\(204\) 0.137210 10.0260i 0.00960666 0.701957i
\(205\) 20.2177 3.56492i 1.41206 0.248985i
\(206\) −2.99863 8.23866i −0.208924 0.574014i
\(207\) −9.02805 + 22.8393i −0.627493 + 1.58744i
\(208\) 1.32135i 0.0916193i
\(209\) −1.24704 + 12.6305i −0.0862598 + 0.873670i
\(210\) −9.03946 + 1.46665i −0.623782 + 0.101209i
\(211\) −3.58388 + 4.27111i −0.246725 + 0.294035i −0.875167 0.483821i \(-0.839248\pi\)
0.628442 + 0.777856i \(0.283693\pi\)
\(212\) −2.67434 + 0.973379i −0.183674 + 0.0668519i
\(213\) 21.6275 7.53824i 1.48189 0.516512i
\(214\) −1.40510 + 7.96873i −0.0960508 + 0.544731i
\(215\) 0.296857 0.815608i 0.0202455 0.0556240i
\(216\) 2.78058 4.38958i 0.189194 0.298673i
\(217\) −12.3355 7.12188i −0.837386 0.483465i
\(218\) −4.74002 5.64893i −0.321034 0.382594i
\(219\) −8.16075 7.04021i −0.551452 0.475733i
\(220\) −3.29431 + 5.70590i −0.222102 + 0.384692i
\(221\) 3.82468 + 6.62453i 0.257276 + 0.445614i
\(222\) −5.08658 0.968852i −0.341389 0.0650251i
\(223\) 5.10735 + 0.900564i 0.342014 + 0.0603062i 0.342017 0.939694i \(-0.388890\pi\)
−3.40741e−6 1.00000i \(0.500001\pi\)
\(224\) −0.405743 2.30108i −0.0271099 0.153748i
\(225\) −0.282480 + 0.224147i −0.0188320 + 0.0149431i
\(226\) −11.3972 9.56335i −0.758128 0.636145i
\(227\) 17.0369 1.13078 0.565391 0.824823i \(-0.308725\pi\)
0.565391 + 0.824823i \(0.308725\pi\)
\(228\) −6.76114 3.35961i −0.447768 0.222495i
\(229\) 24.5203 1.62035 0.810173 0.586191i \(-0.199373\pi\)
0.810173 + 0.586191i \(0.199373\pi\)
\(230\) 14.1901 + 11.9069i 0.935668 + 0.785118i
\(231\) 10.2849 5.75179i 0.676696 0.378440i
\(232\) 0.373386 + 2.11758i 0.0245140 + 0.139026i
\(233\) 22.4936 + 3.96623i 1.47360 + 0.259836i 0.852019 0.523510i \(-0.175378\pi\)
0.621585 + 0.783346i \(0.286489\pi\)
\(234\) −0.108480 + 3.96257i −0.00709157 + 0.259042i
\(235\) 11.5728 + 20.0447i 0.754925 + 1.30757i
\(236\) −1.65642 + 2.86901i −0.107824 + 0.186757i
\(237\) 5.87393 6.80884i 0.381553 0.442282i
\(238\) 8.69469 + 10.3619i 0.563593 + 0.671664i
\(239\) −2.62883 1.51775i −0.170045 0.0981753i 0.412562 0.910929i \(-0.364634\pi\)
−0.582607 + 0.812754i \(0.697967\pi\)
\(240\) −2.47793 3.03652i −0.159950 0.196007i
\(241\) −1.35157 + 3.71341i −0.0870624 + 0.239202i −0.975582 0.219638i \(-0.929512\pi\)
0.888519 + 0.458840i \(0.151735\pi\)
\(242\) −0.437916 + 2.48355i −0.0281503 + 0.159648i
\(243\) −8.69898 + 12.9355i −0.558040 + 0.829814i
\(244\) −5.51318 + 2.00663i −0.352945 + 0.128461i
\(245\) −2.24048 + 2.67010i −0.143139 + 0.170586i
\(246\) −2.51674 15.5115i −0.160462 0.988979i
\(247\) 5.74296 0.437996i 0.365416 0.0278690i
\(248\) 6.09598i 0.387095i
\(249\) −2.79265 1.66370i −0.176977 0.105433i
\(250\) −3.77657 10.3760i −0.238851 0.656238i
\(251\) −7.14276 + 1.25946i −0.450847 + 0.0794965i −0.394461 0.918913i \(-0.629069\pi\)
−0.0563857 + 0.998409i \(0.517958\pi\)
\(252\) 1.02786 + 6.93398i 0.0647491 + 0.436799i
\(253\) −22.3988 8.15248i −1.40820 0.512542i
\(254\) 6.43292 3.71405i 0.403637 0.233040i
\(255\) 21.2122 + 8.05103i 1.32836 + 0.504175i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −7.10091 + 5.95837i −0.442942 + 0.371673i −0.836809 0.547495i \(-0.815582\pi\)
0.393867 + 0.919168i \(0.371137\pi\)
\(258\) −0.621140 0.235751i −0.0386705 0.0146772i
\(259\) 6.04944 3.49265i 0.375894 0.217023i
\(260\) 2.80962 + 1.02262i 0.174245 + 0.0634202i
\(261\) −0.945891 6.38102i −0.0585492 0.394975i
\(262\) −17.5281 + 3.09067i −1.08289 + 0.190943i
\(263\) −1.21399 3.33541i −0.0748578 0.205670i 0.896620 0.442801i \(-0.146015\pi\)
−0.971478 + 0.237131i \(0.923793\pi\)
\(264\) 4.33267 + 2.58116i 0.266658 + 0.158859i
\(265\) 6.43982i 0.395595i
\(266\) 9.86665 2.52623i 0.604963 0.154893i
\(267\) −1.71892 10.5943i −0.105196 0.648358i
\(268\) 10.4361 12.4373i 0.637486 0.759727i
\(269\) 4.70855 1.71377i 0.287086 0.104491i −0.194463 0.980910i \(-0.562297\pi\)
0.481549 + 0.876419i \(0.340074\pi\)
\(270\) 7.18172 + 9.30958i 0.437066 + 0.566563i
\(271\) −1.60600 + 9.10806i −0.0975574 + 0.553275i 0.896376 + 0.443294i \(0.146190\pi\)
−0.993934 + 0.109981i \(0.964921\pi\)
\(272\) −1.97997 + 5.43991i −0.120053 + 0.329843i
\(273\) −3.38100 4.14317i −0.204628 0.250756i
\(274\) 14.2238 + 8.21212i 0.859292 + 0.496112i
\(275\) −0.224973 0.268112i −0.0135664 0.0161678i
\(276\) 9.26193 10.7361i 0.557503 0.646236i
\(277\) 3.80040 6.58248i 0.228344 0.395503i −0.728974 0.684542i \(-0.760002\pi\)
0.957317 + 0.289039i \(0.0933356\pi\)
\(278\) 9.66698 + 16.7437i 0.579787 + 1.00422i
\(279\) −0.500467 + 18.2811i −0.0299622 + 1.09446i
\(280\) 5.20686 + 0.918110i 0.311169 + 0.0548676i
\(281\) −2.50185 14.1887i −0.149248 0.846425i −0.963858 0.266417i \(-0.914160\pi\)
0.814610 0.580009i \(-0.196951\pi\)
\(282\) 15.4630 8.64760i 0.920807 0.514957i
\(283\) 7.59307 + 6.37134i 0.451361 + 0.378737i 0.839941 0.542678i \(-0.182590\pi\)
−0.388579 + 0.921415i \(0.627034\pi\)
\(284\) −13.2234 −0.784664
\(285\) 12.3762 11.7763i 0.733102 0.697568i
\(286\) −3.84742 −0.227502
\(287\) 16.2394 + 13.6265i 0.958584 + 0.804348i
\(288\) −2.35004 + 1.86475i −0.138478 + 0.109881i
\(289\) −2.86743 16.2620i −0.168673 0.956589i
\(290\) −4.79163 0.844894i −0.281374 0.0496139i
\(291\) −16.2350 3.09232i −0.951715 0.181275i
\(292\) 3.11130 + 5.38893i 0.182075 + 0.315363i
\(293\) 4.11218 7.12251i 0.240236 0.416102i −0.720545 0.693408i \(-0.756108\pi\)
0.960782 + 0.277306i \(0.0894417\pi\)
\(294\) 2.02017 + 1.74278i 0.117819 + 0.101641i
\(295\) −4.81851 5.74247i −0.280544 0.334340i
\(296\) 2.58901 + 1.49477i 0.150483 + 0.0868816i
\(297\) −12.7812 8.09628i −0.741643 0.469794i
\(298\) 2.20295 6.05256i 0.127614 0.350615i
\(299\) −1.87835 + 10.6527i −0.108628 + 0.616059i
\(300\) 0.196597 0.0685235i 0.0113505 0.00395620i
\(301\) 0.842207 0.306538i 0.0485440 0.0176686i
\(302\) −1.94657 + 2.31983i −0.112013 + 0.133491i
\(303\) −21.4001 + 3.47217i −1.22941 + 0.199471i
\(304\) 3.04766 + 3.11637i 0.174795 + 0.178736i
\(305\) 13.2758i 0.760168i
\(306\) 6.38428 16.1511i 0.364965 0.923295i
\(307\) −3.47152 9.53794i −0.198130 0.544359i 0.800346 0.599538i \(-0.204649\pi\)
−0.998476 + 0.0551795i \(0.982427\pi\)
\(308\) −6.70012 + 1.18141i −0.381775 + 0.0673172i
\(309\) 0.207803 15.1842i 0.0118215 0.863796i
\(310\) 12.9620 + 4.71780i 0.736194 + 0.267953i
\(311\) −9.98316 + 5.76378i −0.566093 + 0.326834i −0.755587 0.655048i \(-0.772648\pi\)
0.189494 + 0.981882i \(0.439315\pi\)
\(312\) 0.812121 2.13971i 0.0459773 0.121137i
\(313\) 2.29638 1.92690i 0.129799 0.108915i −0.575577 0.817748i \(-0.695222\pi\)
0.705376 + 0.708833i \(0.250778\pi\)
\(314\) −14.6497 + 12.2926i −0.826731 + 0.693710i
\(315\) −15.5394 3.18077i −0.875544 0.179216i
\(316\) −4.49620 + 2.59588i −0.252931 + 0.146030i
\(317\) 15.4509 + 5.62366i 0.867808 + 0.315856i 0.737279 0.675588i \(-0.236110\pi\)
0.130529 + 0.991445i \(0.458333\pi\)
\(318\) −4.92890 0.0674546i −0.276399 0.00378267i
\(319\) 6.16581 1.08720i 0.345219 0.0608714i
\(320\) 0.773919 + 2.12632i 0.0432634 + 0.118865i
\(321\) −7.17302 + 12.0405i −0.400359 + 0.672033i
\(322\) 19.1280i 1.06596i
\(323\) −24.2997 6.80228i −1.35207 0.378489i
\(324\) 7.20058 5.39922i 0.400032 0.299957i
\(325\) −0.102094 + 0.121670i −0.00566313 + 0.00674906i
\(326\) 5.81548 2.11666i 0.322090 0.117231i
\(327\) −4.20377 12.0608i −0.232469 0.666964i
\(328\) −1.57546 + 8.93486i −0.0869901 + 0.493345i
\(329\) −8.17442 + 22.4590i −0.450670 + 1.23821i
\(330\) −8.84151 + 7.21506i −0.486709 + 0.397176i
\(331\) 1.51206 + 0.872986i 0.0831101 + 0.0479837i 0.540979 0.841036i \(-0.318054\pi\)
−0.457869 + 0.889020i \(0.651387\pi\)
\(332\) 1.20637 + 1.43769i 0.0662079 + 0.0789036i
\(333\) −7.64142 4.69518i −0.418747 0.257294i
\(334\) −2.18468 + 3.78398i −0.119540 + 0.207050i
\(335\) 18.3689 + 31.8160i 1.00360 + 1.73829i
\(336\) 0.757242 3.97560i 0.0413109 0.216887i
\(337\) −14.3139 2.52392i −0.779727 0.137487i −0.230402 0.973096i \(-0.574004\pi\)
−0.549325 + 0.835609i \(0.685115\pi\)
\(338\) −1.95424 11.0831i −0.106297 0.602839i
\(339\) −12.5781 22.4911i −0.683147 1.22155i
\(340\) −10.0347 8.42009i −0.544207 0.456644i
\(341\) −17.7498 −0.961207
\(342\) −8.88370 9.59582i −0.480376 0.518883i
\(343\) −19.9553 −1.07749
\(344\) 0.293837 + 0.246558i 0.0158426 + 0.0132935i
\(345\) 15.6604 + 28.0027i 0.843128 + 1.50762i
\(346\) 2.58682 + 14.6706i 0.139069 + 0.788697i
\(347\) 5.30901 + 0.936123i 0.285003 + 0.0502537i 0.314322 0.949316i \(-0.398223\pi\)
−0.0293192 + 0.999570i \(0.509334\pi\)
\(348\) −0.696854 + 3.65856i −0.0373553 + 0.196120i
\(349\) −1.57657 2.73070i −0.0843920 0.146171i 0.820740 0.571302i \(-0.193561\pi\)
−0.905132 + 0.425131i \(0.860228\pi\)
\(350\) −0.140431 + 0.243234i −0.00750636 + 0.0130014i
\(351\) −2.61112 + 6.35007i −0.139371 + 0.338941i
\(352\) −1.87162 2.23051i −0.0997577 0.118887i
\(353\) −19.6094 11.3215i −1.04370 0.602582i −0.122822 0.992429i \(-0.539195\pi\)
−0.920880 + 0.389847i \(0.872528\pi\)
\(354\) −4.44564 + 3.62783i −0.236283 + 0.192817i
\(355\) 10.2338 28.1172i 0.543155 1.49231i
\(356\) −1.07603 + 6.10245i −0.0570293 + 0.323429i
\(357\) 7.71106 + 22.1233i 0.408112 + 1.17089i
\(358\) 3.15759 1.14927i 0.166884 0.0607407i
\(359\) 10.4708 12.4786i 0.552628 0.658596i −0.415341 0.909666i \(-0.636338\pi\)
0.967969 + 0.251069i \(0.0807822\pi\)
\(360\) −2.14632 6.44012i −0.113121 0.339424i
\(361\) −12.5344 + 14.2790i −0.659705 + 0.751525i
\(362\) 19.8675i 1.04421i
\(363\) −2.23555 + 3.75255i −0.117336 + 0.196958i
\(364\) 1.05597 + 2.90125i 0.0553478 + 0.152067i
\(365\) −13.8665 + 2.44504i −0.725806 + 0.127979i
\(366\) −10.1610 0.139058i −0.531123 0.00726870i
\(367\) 13.5022 + 4.91441i 0.704811 + 0.256530i 0.669464 0.742845i \(-0.266524\pi\)
0.0353474 + 0.999375i \(0.488746\pi\)
\(368\) −7.08955 + 4.09315i −0.369568 + 0.213370i
\(369\) 5.45813 26.6652i 0.284139 1.38813i
\(370\) −5.18205 + 4.34825i −0.269402 + 0.226055i
\(371\) 5.09407 4.27443i 0.264471 0.221918i
\(372\) 3.74667 9.87145i 0.194256 0.511811i
\(373\) −31.7907 + 18.3543i −1.64606 + 0.950352i −0.667441 + 0.744663i \(0.732610\pi\)
−0.978617 + 0.205689i \(0.934056\pi\)
\(374\) 15.8395 + 5.76511i 0.819042 + 0.298107i
\(375\) 0.261714 19.1234i 0.0135148 0.987529i
\(376\) −10.0734 + 1.77621i −0.519496 + 0.0916011i
\(377\) −0.971760 2.66989i −0.0500482 0.137506i
\(378\) −2.59726 + 11.8602i −0.133589 + 0.610022i
\(379\) 26.0481i 1.33800i −0.743263 0.669000i \(-0.766723\pi\)
0.743263 0.669000i \(-0.233277\pi\)
\(380\) −8.98506 + 4.06849i −0.460924 + 0.208709i
\(381\) 12.6998 2.06053i 0.650628 0.105564i
\(382\) −6.57866 + 7.84014i −0.336593 + 0.401136i
\(383\) −2.22943 + 0.811445i −0.113918 + 0.0414629i −0.398350 0.917233i \(-0.630417\pi\)
0.284432 + 0.958696i \(0.408195\pi\)
\(384\) 1.63555 0.570068i 0.0834638 0.0290912i
\(385\) 2.67328 15.1609i 0.136243 0.772673i
\(386\) −0.784644 + 2.15579i −0.0399374 + 0.109727i
\(387\) −0.860938 0.763521i −0.0437639 0.0388120i
\(388\) 8.26346 + 4.77091i 0.419513 + 0.242206i
\(389\) 15.0557 + 17.9426i 0.763353 + 0.909728i 0.998055 0.0623389i \(-0.0198560\pi\)
−0.234702 + 0.972067i \(0.575412\pi\)
\(390\) 3.92121 + 3.38280i 0.198558 + 0.171295i
\(391\) 23.6954 41.0416i 1.19833 2.07556i
\(392\) −0.770194 1.33401i −0.0389007 0.0673779i
\(393\) −30.2834 5.76815i −1.52760 0.290965i
\(394\) 6.21823 + 1.09644i 0.313270 + 0.0552380i
\(395\) −2.03999 11.5694i −0.102643 0.582119i
\(396\) 5.42964 + 6.84268i 0.272850 + 0.343858i
\(397\) 5.26511 + 4.41795i 0.264248 + 0.221731i 0.765279 0.643699i \(-0.222601\pi\)
−0.501031 + 0.865430i \(0.667046\pi\)
\(398\) 10.3943 0.521020
\(399\) 17.5301 + 1.97337i 0.877602 + 0.0987919i
\(400\) −0.120202 −0.00601011
\(401\) 23.7988 + 19.9695i 1.18845 + 0.997231i 0.999885 + 0.0151712i \(0.00482933\pi\)
0.188569 + 0.982060i \(0.439615\pi\)
\(402\) 24.5437 13.7259i 1.22413 0.684588i
\(403\) 1.39873 + 7.93257i 0.0696755 + 0.395150i
\(404\) 12.3268 + 2.17355i 0.613281 + 0.108138i
\(405\) 5.90783 + 19.4893i 0.293562 + 0.968433i
\(406\) −2.51211 4.35111i −0.124674 0.215942i
\(407\) 4.35235 7.53850i 0.215738 0.373670i
\(408\) −6.54967 + 7.59213i −0.324257 + 0.375867i
\(409\) −5.64702 6.72985i −0.279227 0.332770i 0.608143 0.793827i \(-0.291915\pi\)
−0.887370 + 0.461057i \(0.847470\pi\)
\(410\) −17.7791 10.2648i −0.878049 0.506942i
\(411\) 17.9859 + 22.0403i 0.887177 + 1.08717i
\(412\) −2.99863 + 8.23866i −0.147732 + 0.405889i
\(413\) 1.34417 7.62314i 0.0661420 0.375110i
\(414\) 21.5967 11.6928i 1.06142 0.574671i
\(415\) −3.99063 + 1.45247i −0.195892 + 0.0712989i
\(416\) −0.849349 + 1.01221i −0.0416428 + 0.0496279i
\(417\) 5.36319 + 33.0551i 0.262637 + 1.61872i
\(418\) 9.07402 8.87394i 0.443825 0.434039i
\(419\) 0.268652i 0.0131245i −0.999978 0.00656225i \(-0.997911\pi\)
0.999978 0.00656225i \(-0.00208885\pi\)
\(420\) 7.86738 + 4.68693i 0.383889 + 0.228699i
\(421\) 6.44528 + 17.7083i 0.314124 + 0.863048i 0.991813 + 0.127699i \(0.0407592\pi\)
−0.677689 + 0.735348i \(0.737019\pi\)
\(422\) 5.49083 0.968181i 0.267289 0.0471303i
\(423\) 30.3547 4.49963i 1.47590 0.218780i
\(424\) 2.67434 + 0.973379i 0.129877 + 0.0472714i
\(425\) 0.602627 0.347927i 0.0292317 0.0168769i
\(426\) −21.4131 8.12728i −1.03747 0.393768i
\(427\) 10.5015 8.81180i 0.508203 0.426433i
\(428\) 6.19857 5.20122i 0.299619 0.251410i
\(429\) −6.23026 2.36467i −0.300800 0.114167i
\(430\) −0.751668 + 0.433976i −0.0362487 + 0.0209282i
\(431\) −8.09752 2.94726i −0.390044 0.141964i 0.139551 0.990215i \(-0.455434\pi\)
−0.529595 + 0.848250i \(0.677656\pi\)
\(432\) −4.95161 + 1.57529i −0.238235 + 0.0757912i
\(433\) 8.52374 1.50296i 0.409625 0.0722279i 0.0349610 0.999389i \(-0.488869\pi\)
0.374664 + 0.927161i \(0.377758\pi\)
\(434\) 4.87165 + 13.3848i 0.233847 + 0.642489i
\(435\) −7.23998 4.31317i −0.347130 0.206801i
\(436\) 7.37416i 0.353158i
\(437\) −20.1400 29.4564i −0.963426 1.40909i
\(438\) 1.72613 + 10.6387i 0.0824779 + 0.508339i
\(439\) −16.0959 + 19.1824i −0.768216 + 0.915524i −0.998338 0.0576380i \(-0.981643\pi\)
0.230122 + 0.973162i \(0.426088\pi\)
\(440\) 6.19127 2.25344i 0.295157 0.107428i
\(441\) 2.20020 + 4.06378i 0.104771 + 0.193513i
\(442\) 1.32830 7.53314i 0.0631806 0.358315i
\(443\) 2.20842 6.06757i 0.104925 0.288279i −0.876110 0.482112i \(-0.839870\pi\)
0.981035 + 0.193833i \(0.0620920\pi\)
\(444\) 3.27378 + 4.01178i 0.155367 + 0.190390i
\(445\) −12.1430 7.01078i −0.575634 0.332343i
\(446\) −3.33359 3.97281i −0.157850 0.188118i
\(447\) 7.28730 8.44716i 0.344677 0.399537i
\(448\) −1.16829 + 2.02354i −0.0551965 + 0.0956032i
\(449\) 11.3528 + 19.6637i 0.535774 + 0.927988i 0.999125 + 0.0418133i \(0.0133135\pi\)
−0.463351 + 0.886175i \(0.653353\pi\)
\(450\) 0.360471 + 0.00986833i 0.0169928 + 0.000465197i
\(451\) 26.0159 + 4.58730i 1.22504 + 0.216007i
\(452\) 2.58353 + 14.6519i 0.121519 + 0.689168i
\(453\) −4.57795 + 2.56020i −0.215091 + 0.120289i
\(454\) −13.0510 10.9511i −0.612516 0.513962i
\(455\) −6.98624 −0.327520
\(456\) 3.01982 + 6.91959i 0.141416 + 0.324039i
\(457\) 9.08970 0.425198 0.212599 0.977140i \(-0.431807\pi\)
0.212599 + 0.977140i \(0.431807\pi\)
\(458\) −18.7836 15.7613i −0.877701 0.736479i
\(459\) 20.2650 22.2302i 0.945887 1.03761i
\(460\) −3.21663 18.2424i −0.149976 0.850558i
\(461\) 19.6634 + 3.46719i 0.915818 + 0.161483i 0.611644 0.791133i \(-0.290509\pi\)
0.304174 + 0.952617i \(0.401620\pi\)
\(462\) −11.5759 2.20488i −0.538558 0.102580i
\(463\) 0.304139 + 0.526785i 0.0141346 + 0.0244818i 0.873006 0.487709i \(-0.162167\pi\)
−0.858872 + 0.512191i \(0.828834\pi\)
\(464\) 1.07512 1.86217i 0.0499114 0.0864490i
\(465\) 18.0903 + 15.6063i 0.838917 + 0.723727i
\(466\) −14.6817 17.4969i −0.680115 0.810529i
\(467\) 13.6575 + 7.88518i 0.631995 + 0.364883i 0.781524 0.623875i \(-0.214442\pi\)
−0.149529 + 0.988757i \(0.547776\pi\)
\(468\) 2.63019 2.96578i 0.121581 0.137093i
\(469\) −12.9749 + 35.6482i −0.599124 + 1.64608i
\(470\) 4.01919 22.7939i 0.185391 1.05141i
\(471\) −31.2780 + 10.9019i −1.44121 + 0.502333i
\(472\) 3.11306 1.13306i 0.143290 0.0521533i
\(473\) 0.717910 0.855572i 0.0330095 0.0393392i
\(474\) −8.87633 + 1.44018i −0.407703 + 0.0661498i
\(475\) −0.0398441 0.522432i −0.00182817 0.0239708i
\(476\) 13.5265i 0.619988i
\(477\) −7.94009 3.13860i −0.363552 0.143707i
\(478\) 1.03820 + 2.85244i 0.0474864 + 0.130468i
\(479\) −9.47350 + 1.67043i −0.432855 + 0.0763241i −0.385831 0.922570i \(-0.626085\pi\)
−0.0470248 + 0.998894i \(0.514974\pi\)
\(480\) −0.0536321 + 3.91889i −0.00244796 + 0.178872i
\(481\) −3.71200 1.35106i −0.169253 0.0616030i
\(482\) 3.42230 1.97587i 0.155881 0.0899982i
\(483\) −11.7563 + 30.9746i −0.534930 + 1.40939i
\(484\) 1.93186 1.62102i 0.0878116 0.0736827i
\(485\) −16.5397 + 13.8785i −0.751031 + 0.630190i
\(486\) 14.9786 4.31758i 0.679443 0.195850i
\(487\) 28.7513 16.5996i 1.30285 0.752198i 0.321954 0.946755i \(-0.395660\pi\)
0.980891 + 0.194557i \(0.0623269\pi\)
\(488\) 5.51318 + 2.00663i 0.249570 + 0.0908360i
\(489\) 10.7181 + 0.146683i 0.484691 + 0.00663326i
\(490\) 3.43261 0.605262i 0.155070 0.0273430i
\(491\) 3.75074 + 10.3051i 0.169268 + 0.465061i 0.995102 0.0988527i \(-0.0315173\pi\)
−0.825834 + 0.563914i \(0.809295\pi\)
\(492\) −8.04268 + 13.5002i −0.362592 + 0.608638i
\(493\) 12.4478i 0.560623i
\(494\) −4.68090 3.35598i −0.210604 0.150993i
\(495\) −18.7519 + 6.24949i −0.842833 + 0.280894i
\(496\) −3.91842 + 4.66980i −0.175942 + 0.209680i
\(497\) 29.0342 10.5676i 1.30236 0.474021i
\(498\) 1.06989 + 3.06955i 0.0479429 + 0.137550i
\(499\) −5.30316 + 30.0757i −0.237402 + 1.34637i 0.600094 + 0.799930i \(0.295130\pi\)
−0.837496 + 0.546444i \(0.815981\pi\)
\(500\) −3.77657 + 10.3760i −0.168893 + 0.464030i
\(501\) −5.86341 + 4.78480i −0.261958 + 0.213769i
\(502\) 6.28124 + 3.62647i 0.280345 + 0.161857i
\(503\) −10.7776 12.8442i −0.480550 0.572697i 0.470238 0.882540i \(-0.344168\pi\)
−0.950788 + 0.309843i \(0.899724\pi\)
\(504\) 3.66969 5.97243i 0.163461 0.266033i
\(505\) −14.1616 + 24.5286i −0.630182 + 1.09151i
\(506\) 11.9181 + 20.6428i 0.529826 + 0.917685i
\(507\) 3.64722 19.1483i 0.161979 0.850406i
\(508\) −7.31524 1.28987i −0.324561 0.0572289i
\(509\) −7.27364 41.2508i −0.322398 1.82841i −0.527360 0.849642i \(-0.676818\pi\)
0.204962 0.978770i \(-0.434293\pi\)
\(510\) −11.0744 19.8024i −0.490384 0.876866i
\(511\) −11.1380 9.34588i −0.492716 0.413438i
\(512\) −1.00000 −0.0441942
\(513\) −8.48798 20.9989i −0.374754 0.927124i
\(514\) 9.26957 0.408863
\(515\) −15.1974 12.7521i −0.669676 0.561925i
\(516\) 0.324283 + 0.579857i 0.0142757 + 0.0255268i
\(517\) 5.17184 + 29.3310i 0.227457 + 1.28997i
\(518\) −6.87917 1.21298i −0.302254 0.0532955i
\(519\) −4.82781 + 25.3466i −0.211917 + 1.11259i
\(520\) −1.49497 2.58936i −0.0655587 0.113551i
\(521\) −5.82256 + 10.0850i −0.255091 + 0.441831i −0.964920 0.262543i \(-0.915439\pi\)
0.709829 + 0.704374i \(0.248772\pi\)
\(522\) −3.37704 + 5.49615i −0.147809 + 0.240560i
\(523\) 1.24233 + 1.48055i 0.0543231 + 0.0647398i 0.792522 0.609844i \(-0.208768\pi\)
−0.738199 + 0.674583i \(0.764323\pi\)
\(524\) 15.4139 + 8.89924i 0.673361 + 0.388765i
\(525\) −0.376900 + 0.307566i −0.0164493 + 0.0134233i
\(526\) −1.21399 + 3.33541i −0.0529325 + 0.145431i
\(527\) 6.12802 34.7537i 0.266941 1.51390i
\(528\) −1.65988 4.76227i −0.0722371 0.207251i
\(529\) 41.3611 15.0542i 1.79831 0.654531i
\(530\) −4.13944 + 4.93319i −0.179806 + 0.214284i
\(531\) −9.42870 + 3.14233i −0.409171 + 0.136366i
\(532\) −9.18212 4.40696i −0.398095 0.191066i
\(533\) 11.9882i 0.519268i
\(534\) −5.49309 + 9.22058i −0.237709 + 0.399013i
\(535\) 6.26229 + 17.2055i 0.270742 + 0.743858i
\(536\) −15.9890 + 2.81930i −0.690621 + 0.121775i
\(537\) 5.81956 + 0.0796437i 0.251132 + 0.00343688i
\(538\) −4.70855 1.71377i −0.203000 0.0738860i
\(539\) −3.88428 + 2.24259i −0.167308 + 0.0965953i
\(540\) 0.482569 11.7479i 0.0207664 0.505548i
\(541\) −7.95720 + 6.67688i −0.342107 + 0.287062i −0.797611 0.603172i \(-0.793903\pi\)
0.455505 + 0.890233i \(0.349459\pi\)
\(542\) 7.08482 5.94487i 0.304319 0.255354i
\(543\) 12.2108 32.1722i 0.524017 1.38064i
\(544\) 5.01345 2.89452i 0.214950 0.124101i
\(545\) −15.6798 5.70700i −0.671651 0.244461i
\(546\) −0.0731781 + 5.34712i −0.00313173 + 0.228835i
\(547\) 24.0156 4.23461i 1.02683 0.181059i 0.365235 0.930915i \(-0.380989\pi\)
0.661600 + 0.749857i \(0.269878\pi\)
\(548\) −5.61742 15.4337i −0.239964 0.659297i
\(549\) −16.3686 6.47026i −0.698594 0.276144i
\(550\) 0.349996i 0.0149239i
\(551\) 8.44988 + 4.05552i 0.359977 + 0.172771i
\(552\) −13.9961 + 2.27086i −0.595712 + 0.0966543i
\(553\) 7.79765 9.29287i 0.331590 0.395173i
\(554\) −7.14241 + 2.59963i −0.303452 + 0.110448i
\(555\) −11.0640 + 3.85633i −0.469640 + 0.163692i
\(556\) 3.35731 19.0402i 0.142381 0.807485i
\(557\) 6.96784 19.1440i 0.295237 0.811156i −0.700042 0.714101i \(-0.746836\pi\)
0.995279 0.0970547i \(-0.0309422\pi\)
\(558\) 12.1342 13.6824i 0.513684 0.579224i
\(559\) −0.438936 0.253420i −0.0185650 0.0107185i
\(560\) −3.39854 4.05022i −0.143614 0.171153i
\(561\) 22.1062 + 19.0708i 0.933325 + 0.805172i
\(562\) −7.20378 + 12.4773i −0.303873 + 0.526324i
\(563\) −0.391026 0.677277i −0.0164798 0.0285438i 0.857668 0.514204i \(-0.171913\pi\)
−0.874148 + 0.485660i \(0.838579\pi\)
\(564\) −17.4039 3.31496i −0.732836 0.139585i
\(565\) −33.1541 5.84597i −1.39481 0.245942i
\(566\) −1.72121 9.76147i −0.0723478 0.410305i
\(567\) −11.4953 + 17.6093i −0.482756 + 0.739521i
\(568\) 10.1297 + 8.49984i 0.425033 + 0.356645i
\(569\) −12.5732 −0.527098 −0.263549 0.964646i \(-0.584893\pi\)
−0.263549 + 0.964646i \(0.584893\pi\)
\(570\) −17.0504 + 1.06592i −0.714162 + 0.0446464i
\(571\) −2.14694 −0.0898468 −0.0449234 0.998990i \(-0.514304\pi\)
−0.0449234 + 0.998990i \(0.514304\pi\)
\(572\) 2.94729 + 2.47307i 0.123232 + 0.103404i
\(573\) −15.4717 + 8.65249i −0.646340 + 0.361463i
\(574\) −3.68118 20.8770i −0.153650 0.871390i
\(575\) 0.969062 + 0.170872i 0.0404127 + 0.00712585i
\(576\) 2.99888 + 0.0820978i 0.124953 + 0.00342074i
\(577\) −19.9348 34.5282i −0.829898 1.43743i −0.898117 0.439756i \(-0.855065\pi\)
0.0682191 0.997670i \(-0.478268\pi\)
\(578\) −8.25644 + 14.3006i −0.343423 + 0.594826i
\(579\) −2.59558 + 3.00870i −0.107869 + 0.125037i
\(580\) 3.12752 + 3.72723i 0.129863 + 0.154765i
\(581\) −3.79772 2.19262i −0.157556 0.0909650i
\(582\) 10.4491 + 12.8045i 0.433127 + 0.530765i
\(583\) 2.83421 7.78693i 0.117381 0.322502i
\(584\) 1.08054 6.12807i 0.0447132 0.253581i
\(585\) 4.27065 + 7.88791i 0.176570 + 0.326125i
\(586\) −7.72838 + 2.81290i −0.319256 + 0.116200i
\(587\) −28.9490 + 34.5001i −1.19485 + 1.42397i −0.314757 + 0.949172i \(0.601923\pi\)
−0.880095 + 0.474797i \(0.842521\pi\)
\(588\) −0.427300 2.63359i −0.0176215 0.108607i
\(589\) −21.5951 15.4826i −0.889810 0.637951i
\(590\) 7.49627i 0.308616i
\(591\) 9.39552 + 5.59732i 0.386480 + 0.230243i
\(592\) −1.02248 2.80925i −0.0420237 0.115459i
\(593\) −29.2417 + 5.15610i −1.20081 + 0.211736i −0.738050 0.674746i \(-0.764253\pi\)
−0.462763 + 0.886482i \(0.653142\pi\)
\(594\) 4.58681 + 14.4177i 0.188199 + 0.591567i
\(595\) 28.7618 + 10.4684i 1.17912 + 0.429164i
\(596\) −5.57807 + 3.22050i −0.228487 + 0.131917i
\(597\) 16.8319 + 6.38849i 0.688884 + 0.261463i
\(598\) 8.28630 6.95303i 0.338852 0.284331i
\(599\) −23.2268 + 19.4896i −0.949023 + 0.796325i −0.979133 0.203222i \(-0.934859\pi\)
0.0301101 + 0.999547i \(0.490414\pi\)
\(600\) −0.194648 0.0738778i −0.00794646 0.00301605i
\(601\) 19.5471 11.2855i 0.797343 0.460346i −0.0451983 0.998978i \(-0.514392\pi\)
0.842541 + 0.538632i \(0.181059\pi\)
\(602\) −0.842207 0.306538i −0.0343258 0.0124936i
\(603\) 48.1806 7.14206i 1.96207 0.290847i
\(604\) 2.98232 0.525863i 0.121349 0.0213971i
\(605\) 1.95171 + 5.36229i 0.0793484 + 0.218008i
\(606\) 18.6253 + 11.0959i 0.756602 + 0.450740i
\(607\) 22.1708i 0.899886i −0.893057 0.449943i \(-0.851444\pi\)
0.893057 0.449943i \(-0.148556\pi\)
\(608\) −0.331476 4.34628i −0.0134431 0.176265i
\(609\) −1.39371 8.58989i −0.0564759 0.348080i
\(610\) −8.53350 + 10.1698i −0.345511 + 0.411764i
\(611\) 12.7007 4.62269i 0.513817 0.187014i
\(612\) −15.2723 + 8.26870i −0.617348 + 0.334242i
\(613\) −4.39349 + 24.9167i −0.177451 + 1.00638i 0.757825 + 0.652458i \(0.226262\pi\)
−0.935276 + 0.353919i \(0.884849\pi\)
\(614\) −3.47152 + 9.53794i −0.140099 + 0.384920i
\(615\) −22.4815 27.5494i −0.906542 1.11090i
\(616\) 5.89199 + 3.40174i 0.237395 + 0.137060i
\(617\) 3.45217 + 4.11414i 0.138979 + 0.165629i 0.831045 0.556206i \(-0.187743\pi\)
−0.692065 + 0.721835i \(0.743299\pi\)
\(618\) −9.91937 + 11.4982i −0.399016 + 0.462524i
\(619\) −10.8898 + 18.8617i −0.437699 + 0.758117i −0.997512 0.0705023i \(-0.977540\pi\)
0.559813 + 0.828619i \(0.310873\pi\)
\(620\) −6.89696 11.9459i −0.276988 0.479758i
\(621\) 42.1589 5.66099i 1.69178 0.227168i
\(622\) 11.3524 + 2.00174i 0.455191 + 0.0802625i
\(623\) −2.51422 14.2589i −0.100730 0.571269i
\(624\) −1.99750 + 1.11710i −0.0799641 + 0.0447196i
\(625\) −19.6004 16.4467i −0.784018 0.657869i
\(626\) −2.99772 −0.119813
\(627\) 20.1479 8.79289i 0.804631 0.351154i
\(628\) 19.1238 0.763124
\(629\) 13.2576 + 11.1244i 0.528614 + 0.443560i
\(630\) 9.85928 + 12.4251i 0.392803 + 0.495028i
\(631\) −2.49759 14.1646i −0.0994276 0.563882i −0.993300 0.115561i \(-0.963133\pi\)
0.893873 0.448321i \(-0.147978\pi\)
\(632\) 5.11289 + 0.901541i 0.203380 + 0.0358614i
\(633\) 9.48656 + 1.80692i 0.377057 + 0.0718188i
\(634\) −8.22124 14.2396i −0.326507 0.565527i
\(635\) 8.40409 14.5563i 0.333506 0.577650i
\(636\) 3.73240 + 3.21991i 0.147999 + 0.127678i
\(637\) 1.30833 + 1.55920i 0.0518378 + 0.0617779i
\(638\) −5.42212 3.13046i −0.214664 0.123936i
\(639\) −29.6799 26.3216i −1.17412 1.04127i
\(640\) 0.773919 2.12632i 0.0305918 0.0840503i
\(641\) −1.24354 + 7.05244i −0.0491167 + 0.278555i −0.999468 0.0326255i \(-0.989613\pi\)
0.950351 + 0.311180i \(0.100724\pi\)
\(642\) 13.2343 4.61280i 0.522317 0.182053i
\(643\) 9.97359 3.63009i 0.393320 0.143157i −0.137786 0.990462i \(-0.543999\pi\)
0.531106 + 0.847305i \(0.321776\pi\)
\(644\) 12.2952 14.6529i 0.484500 0.577404i
\(645\) −1.48393 + 0.240768i −0.0584297 + 0.00948022i
\(646\) 14.2422 + 20.8304i 0.560352 + 0.819560i
\(647\) 25.2527i 0.992786i 0.868098 + 0.496393i \(0.165342\pi\)
−0.868098 + 0.496393i \(0.834658\pi\)
\(648\) −8.98652 0.492402i −0.353024 0.0193434i
\(649\) −3.29916 9.06437i −0.129503 0.355808i
\(650\) 0.156416 0.0275804i 0.00613516 0.00108179i
\(651\) −0.337603 + 24.6686i −0.0132317 + 0.966839i
\(652\) −5.81548 2.11666i −0.227752 0.0828949i
\(653\) −4.44155 + 2.56433i −0.173811 + 0.100350i −0.584382 0.811479i \(-0.698663\pi\)
0.410570 + 0.911829i \(0.365330\pi\)
\(654\) −4.53225 + 11.9412i −0.177225 + 0.466940i
\(655\) −30.8518 + 25.8877i −1.20548 + 1.01152i
\(656\) 6.95009 5.83182i 0.271355 0.227694i
\(657\) −3.74352 + 18.2886i −0.146049 + 0.713506i
\(658\) 20.6984 11.9502i 0.806906 0.465867i
\(659\) 39.0596 + 14.2165i 1.52154 + 0.553797i 0.961533 0.274688i \(-0.0885747\pi\)
0.560011 + 0.828485i \(0.310797\pi\)
\(660\) 11.4107 + 0.156162i 0.444163 + 0.00607860i
\(661\) −46.7645 + 8.24585i −1.81893 + 0.320726i −0.976078 0.217421i \(-0.930236\pi\)
−0.842851 + 0.538147i \(0.819125\pi\)
\(662\) −0.597158 1.64068i −0.0232092 0.0637667i
\(663\) 6.78093 11.3823i 0.263349 0.442052i
\(664\) 1.87677i 0.0728329i
\(665\) 16.4768 16.1135i 0.638944 0.624856i
\(666\) 2.83566 + 8.50852i 0.109880 + 0.329699i
\(667\) −11.3147 + 13.4844i −0.438108 + 0.522116i
\(668\) 4.10586 1.49441i 0.158860 0.0578204i
\(669\) −2.95645 8.48219i −0.114303 0.327940i
\(670\) 6.37947 36.1798i 0.246460 1.39775i
\(671\) 5.84276 16.0529i 0.225557 0.619713i
\(672\) −3.13555 + 2.55874i −0.120956 + 0.0987057i
\(673\) −37.0622 21.3979i −1.42864 0.824827i −0.431629 0.902051i \(-0.642061\pi\)
−0.997014 + 0.0772240i \(0.975394\pi\)
\(674\) 9.34273 + 11.1342i 0.359868 + 0.428874i
\(675\) 0.577659 + 0.237531i 0.0222341 + 0.00914256i
\(676\) −5.62701 + 9.74627i −0.216424 + 0.374857i
\(677\) 16.0186 + 27.7451i 0.615646 + 1.06633i 0.990271 + 0.139153i \(0.0444381\pi\)
−0.374625 + 0.927176i \(0.622229\pi\)
\(678\) −4.82166 + 25.3142i −0.185175 + 0.972187i
\(679\) −21.9565 3.87153i −0.842614 0.148576i
\(680\) 2.27468 + 12.9003i 0.0872299 + 0.494705i
\(681\) −14.4033 25.7549i −0.551937 0.986930i
\(682\) 13.5972 + 11.4094i 0.520662 + 0.436887i
\(683\) 8.09665 0.309810 0.154905 0.987929i \(-0.450493\pi\)
0.154905 + 0.987929i \(0.450493\pi\)
\(684\) 0.637235 + 13.0612i 0.0243653 + 0.499406i
\(685\) 37.1646 1.41998
\(686\) 15.2867 + 12.8270i 0.583647 + 0.489738i
\(687\) −20.7299 37.0676i −0.790894 1.41422i
\(688\) −0.0666074 0.377749i −0.00253938 0.0144016i
\(689\) −3.70340 0.653009i −0.141088 0.0248777i
\(690\) 6.00323 31.5176i 0.228539 1.19986i
\(691\) 14.6326 + 25.3445i 0.556652 + 0.964149i 0.997773 + 0.0667014i \(0.0212475\pi\)
−0.441121 + 0.897447i \(0.645419\pi\)
\(692\) 7.44846 12.9011i 0.283148 0.490427i
\(693\) −17.3901 10.6851i −0.660594 0.405894i
\(694\) −3.46521 4.12968i −0.131538 0.156761i
\(695\) 37.8874 + 21.8743i 1.43715 + 0.829740i
\(696\) 2.88550 2.35469i 0.109375 0.0892544i
\(697\) −17.9636 + 49.3547i −0.680421 + 1.86944i
\(698\) −0.547538 + 3.10524i −0.0207246 + 0.117535i
\(699\) −13.0207 37.3569i −0.492488 1.41297i
\(700\) 0.263924 0.0960605i 0.00997539 0.00363075i
\(701\) 6.18601 7.37220i 0.233642 0.278444i −0.636466 0.771305i \(-0.719604\pi\)
0.870108 + 0.492861i \(0.164049\pi\)
\(702\) 6.08197 3.18604i 0.229549 0.120249i
\(703\) 11.8708 5.37519i 0.447717 0.202729i
\(704\) 2.91172i 0.109740i
\(705\) 20.5179 34.4408i 0.772748 1.29712i
\(706\) 7.74435 + 21.2774i 0.291462 + 0.800787i
\(707\) −28.8025 + 5.07867i −1.08323 + 0.191003i
\(708\) 5.73748 + 0.0785205i 0.215628 + 0.00295098i
\(709\) 2.54680 + 0.926959i 0.0956471 + 0.0348127i 0.389400 0.921069i \(-0.372682\pi\)
−0.293753 + 0.955881i \(0.594904\pi\)
\(710\) −25.9130 + 14.9609i −0.972497 + 0.561471i
\(711\) −15.2589 3.12337i −0.572254 0.117135i
\(712\) 4.74686 3.98309i 0.177896 0.149273i
\(713\) 38.2284 32.0774i 1.43166 1.20131i
\(714\) 8.31359 21.9040i 0.311128 0.819738i
\(715\) −7.53951 + 4.35294i −0.281962 + 0.162791i
\(716\) −3.15759 1.14927i −0.118005 0.0429502i
\(717\) −0.0719470 + 5.25716i −0.00268691 + 0.196332i
\(718\) −16.0422 + 2.82867i −0.598690 + 0.105565i
\(719\) −3.02583 8.31341i −0.112845 0.310038i 0.870396 0.492353i \(-0.163863\pi\)
−0.983240 + 0.182315i \(0.941641\pi\)
\(720\) −2.49545 + 6.31304i −0.0930000 + 0.235273i
\(721\) 20.4857i 0.762929i
\(722\) 18.7802 2.88137i 0.698928 0.107234i
\(723\) 6.75625 1.09620i 0.251268 0.0407681i
\(724\) −12.7706 + 15.2194i −0.474615 + 0.565625i
\(725\) −0.242877 + 0.0884000i −0.00902023 + 0.00328309i
\(726\) 4.12462 1.43763i 0.153079 0.0533555i
\(727\) −6.48485 + 36.7774i −0.240510 + 1.36400i 0.590183 + 0.807269i \(0.299055\pi\)
−0.830693 + 0.556730i \(0.812056\pi\)
\(728\) 1.05597 2.90125i 0.0391368 0.107528i
\(729\) 26.9090 + 2.21443i 0.996631 + 0.0820158i
\(730\) 12.1940 + 7.04021i 0.451320 + 0.260570i
\(731\) 1.42733 + 1.70103i 0.0527918 + 0.0629149i
\(732\) 7.69438 + 6.63788i 0.284393 + 0.245343i
\(733\) 17.5306 30.3638i 0.647506 1.12151i −0.336211 0.941787i \(-0.609146\pi\)
0.983717 0.179726i \(-0.0575211\pi\)
\(734\) −7.18439 12.4437i −0.265181 0.459306i
\(735\) 5.93056 + 1.12961i 0.218752 + 0.0416662i
\(736\) 8.06194 + 1.42154i 0.297167 + 0.0523986i
\(737\) 8.20902 + 46.5557i 0.302383 + 1.71490i
\(738\) −21.3212 + 16.9183i −0.784845 + 0.622772i
\(739\) 20.2995 + 17.0333i 0.746731 + 0.626581i 0.934636 0.355606i \(-0.115725\pi\)
−0.187905 + 0.982187i \(0.560170\pi\)
\(740\) 6.76468 0.248675
\(741\) −5.51733 8.31141i −0.202684 0.305327i
\(742\) −6.64984 −0.244123
\(743\) −24.2865 20.3788i −0.890984 0.747624i 0.0774234 0.996998i \(-0.475331\pi\)
−0.968407 + 0.249374i \(0.919775\pi\)
\(744\) −9.21536 + 5.15365i −0.337852 + 0.188942i
\(745\) −2.53085 14.3532i −0.0927233 0.525860i
\(746\) 36.1510 + 6.37440i 1.32358 + 0.233383i
\(747\) −0.154079 + 5.62821i −0.00563745 + 0.205925i
\(748\) −8.42803 14.5978i −0.308159 0.533748i
\(749\) −9.45341 + 16.3738i −0.345420 + 0.598285i
\(750\) −12.4928 + 14.4812i −0.456172 + 0.528777i
\(751\) −1.60959 1.91823i −0.0587347 0.0699973i 0.735877 0.677115i \(-0.236770\pi\)
−0.794612 + 0.607118i \(0.792326\pi\)
\(752\) 8.85839 + 5.11440i 0.323032 + 0.186503i
\(753\) 7.94256 + 9.73301i 0.289443 + 0.354691i
\(754\) −0.971760 + 2.66989i −0.0353894 + 0.0972316i
\(755\) −1.18992 + 6.74835i −0.0433055 + 0.245598i
\(756\) 9.61319 7.41593i 0.349628 0.269715i
\(757\) −7.22987 + 2.63146i −0.262774 + 0.0956419i −0.470048 0.882641i \(-0.655763\pi\)
0.207273 + 0.978283i \(0.433541\pi\)
\(758\) −16.7434 + 19.9540i −0.608147 + 0.724761i
\(759\) 6.61212 + 40.7527i 0.240005 + 1.47923i
\(760\) 9.49813 + 2.65884i 0.344533 + 0.0964462i
\(761\) 26.1918i 0.949453i 0.880133 + 0.474727i \(0.157453\pi\)
−0.880133 + 0.474727i \(0.842547\pi\)
\(762\) −11.0531 6.58478i −0.400410 0.238542i
\(763\) −5.89312 16.1912i −0.213345 0.586161i
\(764\) 10.0791 1.77722i 0.364649 0.0642974i
\(765\) −5.76239 38.8733i −0.208340 1.40547i
\(766\) 2.22943 + 0.811445i 0.0805525 + 0.0293187i
\(767\) −3.79097 + 2.18872i −0.136884 + 0.0790301i
\(768\) −1.61934 0.614613i −0.0584328 0.0221779i
\(769\) 35.3779 29.6856i 1.27576