Properties

Label 114.2.l.a.89.2
Level $114$
Weight $2$
Character 114.89
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 89.2
Root \(-1.73189 + 0.0237018i\) of defining polynomial
Character \(\chi\) \(=\) 114.89
Dual form 114.2.l.a.41.2

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

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 −0.648067 0.761583i \(-0.724423\pi\)
−0.348508 + 0.937306i \(0.613311\pi\)
\(6\) −0.324081 1.70146i −0.132306 0.694619i
\(7\) −1.16829 + 2.02354i −0.441572 + 0.764826i −0.997806 0.0661999i \(-0.978912\pi\)
0.556234 + 0.831026i \(0.312246\pi\)
\(8\) 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 −0.829403 0.558650i \(-0.811319\pi\)
0.0691039 + 0.997609i \(0.477986\pi\)
\(12\) 1.34194 + 1.09508i 0.387384 + 0.316122i
\(13\) −0.451929 1.24167i −0.125343 0.344376i 0.861111 0.508417i \(-0.169769\pi\)
−0.986453 + 0.164041i \(0.947547\pi\)
\(14\) −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 0.996793 + 0.0800172i \(0.0254975\pi\)
−0.0942898 + 0.995545i \(0.530058\pi\)
\(18\) 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 0.931007 0.365001i \(-0.118931\pi\)
0.750023 + 0.661412i \(0.230042\pi\)
\(24\) −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 0.476910 0.878952i \(-0.341757\pi\)
−0.782784 + 0.622293i \(0.786201\pi\)
\(30\) 1.39074 + 3.66421i 0.253913 + 0.668991i
\(31\) 5.27928 + 3.04799i 0.948186 + 0.547436i 0.892517 0.451014i \(-0.148937\pi\)
0.0556692 + 0.998449i \(0.482271\pi\)
\(32\) 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 \(-0.920970\pi\)
0.969336 0.245738i \(-0.0790304\pi\)
\(38\) −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 −0.424352 0.905497i \(-0.639498\pi\)
−0.907115 + 0.420883i \(0.861720\pi\)
\(42\) 3.82159 + 1.33201i 0.589685 + 0.205534i
\(43\) −0.0666074 0.377749i −0.0101575 0.0576062i 0.979308 0.202377i \(-0.0648666\pi\)
−0.989465 + 0.144771i \(0.953756\pi\)
\(44\) 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 0.0306076 + 0.999531i \(0.490256\pi\)
−0.989661 + 0.143424i \(0.954189\pi\)
\(48\) 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 −0.931870 0.362791i \(-0.881824\pi\)
0.999754 0.0221937i \(-0.00706506\pi\)
\(54\) −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 −0.462468 0.886636i \(-0.653036\pi\)
0.792860 + 0.609404i \(0.208591\pi\)
\(60\) −3.42068 1.91300i −0.441608 0.246967i
\(61\) 1.01879 5.77787i 0.130443 0.739780i −0.847482 0.530824i \(-0.821882\pi\)
0.977925 0.208956i \(-0.0670064\pi\)
\(62\) −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 −0.539305 + 0.842111i \(0.681313\pi\)
−0.735668 + 0.677342i \(0.763132\pi\)
\(68\) 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 −0.746758 0.665095i \(-0.768391\pi\)
0.474247 0.880392i \(-0.342720\pi\)
\(72\) 1.42834 2.63815i 0.168331 0.310909i
\(73\) 5.84733 + 2.12826i 0.684379 + 0.249093i 0.660726 0.750627i \(-0.270248\pi\)
0.0236522 + 0.999720i \(0.492471\pi\)
\(74\) 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 −0.798832 0.601554i \(-0.794548\pi\)
0.998612 + 0.0526618i \(0.0167705\pi\)
\(80\) 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 0.586542 0.809919i \(-0.300489\pi\)
−0.408139 + 0.912920i \(0.633822\pi\)
\(84\) −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 −0.0144367 0.999896i \(-0.504595\pi\)
0.631661 + 0.775244i \(0.282373\pi\)
\(90\) −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 0.981540 0.191255i \(-0.0612557\pi\)
−0.358792 + 0.933418i \(0.616811\pi\)
\(98\) −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 0.948232 + 0.317580i \(0.102870\pi\)
−0.522251 + 0.852792i \(0.674908\pi\)
\(102\) 6.33945 7.76853i 0.627699 0.769199i
\(103\) 7.59279 4.38370i 0.748140 0.431939i −0.0768818 0.997040i \(-0.524496\pi\)
0.825021 + 0.565102i \(0.191163\pi\)
\(104\) 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 −0.992598 0.121444i \(-0.961247\pi\)
0.601473 + 0.798893i \(0.294581\pi\)
\(108\) 0.691519 5.14993i 0.0665415 0.495552i
\(109\) 7.26213 1.28051i 0.695586 0.122651i 0.185334 0.982676i \(-0.440663\pi\)
0.510252 + 0.860025i \(0.329552\pi\)
\(110\) −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 0.774475 0.632605i \(-0.218014\pi\)
−0.999913 + 0.0132192i \(0.995792\pi\)
\(128\) −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 0.981510 + 0.191409i \(0.0613057\pi\)
0.0180637 + 0.999837i \(0.494250\pi\)
\(132\) −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 −0.567215 0.823570i \(-0.691979\pi\)
−0.814685 + 0.579904i \(0.803090\pi\)
\(138\) −0.194030 14.1778i −0.0165169 1.20689i
\(139\) −18.1680 + 6.61260i −1.54099 + 0.560873i −0.966282 0.257487i \(-0.917106\pi\)
−0.574705 + 0.818360i \(0.694883\pi\)
\(140\) −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 −0.816161 0.577824i \(-0.803902\pi\)
0.996634 + 0.0819794i \(0.0261242\pi\)
\(150\) −0.106556 0.178862i −0.00870024 0.0146040i
\(151\) 3.02833i 0.246442i 0.992379 + 0.123221i \(0.0393223\pi\)
−0.992379 + 0.123221i \(0.960678\pi\)
\(152\) −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 0.768949 + 0.639311i \(0.220780\pi\)
−0.503918 + 0.863751i \(0.668109\pi\)
\(158\) 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 0.719020 0.694989i \(-0.244591\pi\)
−0.961388 + 0.275195i \(0.911258\pi\)
\(164\) −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 −0.999989 0.00466148i \(-0.998516\pi\)
0.941277 + 0.337636i \(0.109627\pi\)
\(168\) 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 −0.963595 0.267367i \(-0.913846\pi\)
0.0959786 + 0.995383i \(0.469402\pi\)
\(174\) −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 0.796381 0.604796i \(-0.206745\pi\)
−0.921959 + 0.387288i \(0.873412\pi\)
\(180\) 5.78380 3.55379i 0.431099 0.264884i
\(181\) 12.7706 15.2194i 0.949231 1.13125i −0.0420013 0.999118i \(-0.513373\pi\)
0.991232 0.132132i \(-0.0421822\pi\)
\(182\) −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 \(0.120736\pi\)
−0.928923 + 0.370274i \(0.879264\pi\)
\(192\) −0.886471 1.48801i −0.0639755 0.107388i
\(193\) −0.784644 + 2.15579i −0.0564799 + 0.155177i −0.964724 0.263264i \(-0.915201\pi\)
0.908244 + 0.418441i \(0.137423\pi\)
\(194\) −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 0.292390 0.956299i \(-0.405550\pi\)
−0.681984 + 0.731367i \(0.738883\pi\)
\(198\) −8.55774 + 1.75169i −0.608172 + 0.124487i
\(199\) −7.96251 6.68134i −0.564447 0.473628i 0.315351 0.948975i \(-0.397878\pi\)
−0.879798 + 0.475348i \(0.842322\pi\)
\(200\) 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 0.628442 0.777856i \(-0.283693\pi\)
−0.875167 + 0.483821i \(0.839248\pi\)
\(212\) −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 −3.40741e−6 1.00000i \(-0.500001\pi\)
0.342017 + 0.939694i \(0.388890\pi\)
\(224\) −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 0.621585 0.783346i \(-0.286489\pi\)
0.852019 + 0.523510i \(0.175378\pi\)
\(234\) −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 −0.582607 0.812754i \(-0.697967\pi\)
0.412562 + 0.910929i \(0.364634\pi\)
\(240\) −2.47793 + 3.03652i −0.159950 + 0.196007i
\(241\) −1.35157 3.71341i −0.0870624 0.239202i 0.888519 0.458840i \(-0.151735\pi\)
−0.975582 + 0.219638i \(0.929512\pi\)
\(242\) −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 −0.0563857 0.998409i \(-0.517958\pi\)
−0.394461 + 0.918913i \(0.629069\pi\)
\(252\) 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 0.393867 0.919168i \(-0.371137\pi\)
−0.836809 + 0.547495i \(0.815582\pi\)
\(258\) −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 −0.971478 0.237131i \(-0.923793\pi\)
0.896620 + 0.442801i \(0.146015\pi\)
\(264\) 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 0.481549 0.876419i \(-0.340074\pi\)
−0.194463 + 0.980910i \(0.562297\pi\)
\(270\) 7.18172 9.30958i 0.437066 0.566563i
\(271\) −1.60600 9.10806i −0.0975574 0.553275i −0.993934 0.109981i \(-0.964921\pi\)
0.896376 0.443294i \(-0.146190\pi\)
\(272\) −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 0.957317 0.289039i \(-0.0933356\pi\)
−0.728974 + 0.684542i \(0.760002\pi\)
\(278\) 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 0.814610 + 0.580009i \(0.196951\pi\)
−0.963858 + 0.266417i \(0.914160\pi\)
\(282\) 15.4630 + 8.64760i 0.920807 + 0.514957i
\(283\) 7.59307 6.37134i 0.451361 0.378737i −0.388579 0.921415i \(-0.627034\pi\)
0.839941 + 0.542678i \(0.182590\pi\)
\(284\) −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 0.960782 0.277306i \(-0.0894417\pi\)
−0.720545 + 0.693408i \(0.756108\pi\)
\(294\) 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 −0.998476 0.0551795i \(-0.982427\pi\)
0.800346 + 0.599538i \(0.204649\pi\)
\(308\) −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 0.189494 0.981882i \(-0.439315\pi\)
−0.755587 + 0.655048i \(0.772648\pi\)
\(312\) 0.812121 + 2.13971i 0.0459773 + 0.121137i
\(313\) 2.29638 + 1.92690i 0.129799 + 0.108915i 0.705376 0.708833i \(-0.250778\pi\)
−0.575577 + 0.817748i \(0.695222\pi\)
\(314\) −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 0.130529 0.991445i \(-0.458333\pi\)
0.737279 + 0.675588i \(0.236110\pi\)
\(318\) −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 −0.457869 0.889020i \(-0.651387\pi\)
0.540979 + 0.841036i \(0.318054\pi\)
\(332\) 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 −0.549325 0.835609i \(-0.685115\pi\)
−0.230402 + 0.973096i \(0.574004\pi\)
\(338\) −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 −0.0293192 0.999570i \(-0.509334\pi\)
0.314322 + 0.949316i \(0.398223\pi\)
\(348\) −0.696854 3.65856i −0.0373553 0.196120i
\(349\) −1.57657 + 2.73070i −0.0843920 + 0.146171i −0.905132 0.425131i \(-0.860228\pi\)
0.820740 + 0.571302i \(0.193561\pi\)
\(350\) −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 −0.920880 0.389847i \(-0.872528\pi\)
−0.122822 + 0.992429i \(0.539195\pi\)
\(354\) −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 0.967969 0.251069i \(-0.0807822\pi\)
−0.415341 + 0.909666i \(0.636338\pi\)
\(360\) −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 0.0353474 0.999375i \(-0.488746\pi\)
0.669464 + 0.742845i \(0.266524\pi\)
\(368\) −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 −0.978617 0.205689i \(-0.934056\pi\)
−0.667441 0.744663i \(-0.732610\pi\)
\(374\) 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 \(0.233277\pi\)
−0.743263 + 0.669000i \(0.766723\pi\)
\(380\) −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 0.284432 0.958696i \(-0.408195\pi\)
−0.398350 + 0.917233i \(0.630417\pi\)
\(384\) 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 −0.234702 0.972067i \(-0.575412\pi\)
0.998055 + 0.0623389i \(0.0198560\pi\)
\(390\) 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 −0.501031 0.865430i \(-0.667046\pi\)
0.765279 + 0.643699i \(0.222601\pi\)
\(398\) 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 0.188569 0.982060i \(-0.439615\pi\)
0.999885 0.0151712i \(-0.00482933\pi\)
\(402\) 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 −0.887370 0.461057i \(-0.847470\pi\)
0.608143 + 0.793827i \(0.291915\pi\)
\(410\) −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 \(0.00208885\pi\)
−0.999978 + 0.00656225i \(0.997911\pi\)
\(420\) 7.86738 4.68693i 0.383889 0.228699i
\(421\) 6.44528 17.7083i 0.314124 0.863048i −0.677689 0.735348i \(-0.737019\pi\)
0.991813 0.127699i \(-0.0407592\pi\)
\(422\) 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 −0.529595 0.848250i \(-0.677656\pi\)
0.139551 + 0.990215i \(0.455434\pi\)
\(432\) −4.95161 1.57529i −0.238235 0.0757912i
\(433\) 8.52374 + 1.50296i 0.409625 + 0.0722279i 0.374664 0.927161i \(-0.377758\pi\)
0.0349610 + 0.999389i \(0.488869\pi\)
\(434\) 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 0.230122 0.973162i \(-0.426088\pi\)
−0.998338 + 0.0576380i \(0.981643\pi\)
\(440\) 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 0.981035 0.193833i \(-0.0620920\pi\)
−0.876110 + 0.482112i \(0.839870\pi\)
\(444\) 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 −0.463351 0.886175i \(-0.653353\pi\)
0.999125 0.0418133i \(-0.0133135\pi\)
\(450\) 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 0.304174 0.952617i \(-0.401620\pi\)
0.611644 + 0.791133i \(0.290509\pi\)
\(462\) −11.5759 + 2.20488i −0.538558 + 0.102580i
\(463\) 0.304139 0.526785i 0.0141346 0.0244818i −0.858872 0.512191i \(-0.828834\pi\)
0.873006 + 0.487709i \(0.162167\pi\)
\(464\) 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 −0.149529 0.988757i \(-0.547776\pi\)
0.781524 + 0.623875i \(0.214442\pi\)
\(468\) 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 −0.0470248 0.998894i \(-0.514974\pi\)
−0.385831 + 0.922570i \(0.626085\pi\)
\(480\) −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 0.980891 0.194557i \(-0.0623269\pi\)
0.321954 + 0.946755i \(0.395660\pi\)
\(488\) 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 −0.825834 0.563914i \(-0.809295\pi\)
0.995102 + 0.0988527i \(0.0315173\pi\)
\(492\) −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 −0.837496 0.546444i \(-0.815981\pi\)
0.600094 0.799930i \(-0.295130\pi\)
\(500\) −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 −0.950788 0.309843i \(-0.899724\pi\)
0.470238 + 0.882540i \(0.344168\pi\)
\(504\) 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 0.204962 + 0.978770i \(0.434293\pi\)
−0.527360 + 0.849642i \(0.676818\pi\)
\(510\) −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 0.709829 0.704374i \(-0.248772\pi\)
−0.964920 + 0.262543i \(0.915439\pi\)
\(522\) −3.37704 5.49615i −0.147809 0.240560i
\(523\) 1.24233 1.48055i 0.0543231 0.0647398i −0.738199 0.674583i \(-0.764323\pi\)
0.792522 + 0.609844i \(0.208768\pi\)
\(524\) 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 0.455505 0.890233i \(-0.349459\pi\)
−0.797611 + 0.603172i \(0.793903\pi\)
\(542\) 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 0.661600 0.749857i \(-0.269878\pi\)
0.365235 + 0.930915i \(0.380989\pi\)
\(548\) −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 0.995279 + 0.0970547i \(0.0309422\pi\)
−0.700042 + 0.714101i \(0.746836\pi\)
\(558\) 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 −0.874148 0.485660i \(-0.838579\pi\)
0.857668 + 0.514204i \(0.171913\pi\)
\(564\) −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 0.0682191 + 0.997670i \(0.478268\pi\)
−0.898117 + 0.439756i \(0.855065\pi\)
\(578\) −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 −0.880095 0.474797i \(-0.842521\pi\)
−0.314757 0.949172i \(-0.601923\pi\)
\(588\) −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 −0.462763 0.886482i \(-0.653142\pi\)
−0.738050 + 0.674746i \(0.764253\pi\)
\(594\) 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 0.0301101 0.999547i \(-0.490414\pi\)
−0.979133 + 0.203222i \(0.934859\pi\)
\(600\) −0.194648 + 0.0738778i −0.00794646 + 0.00301605i
\(601\) 19.5471 + 11.2855i 0.797343 + 0.460346i 0.842541 0.538632i \(-0.181059\pi\)
−0.0451983 + 0.998978i \(0.514392\pi\)
\(602\) −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 \(0.148556\pi\)
−0.893057 + 0.449943i \(0.851444\pi\)
\(608\) −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 −0.935276 0.353919i \(-0.884849\pi\)
0.757825 0.652458i \(-0.226262\pi\)
\(614\) −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 −0.692065 0.721835i \(-0.743299\pi\)
0.831045 + 0.556206i \(0.187743\pi\)
\(618\) −9.91937 11.4982i −0.399016 0.462524i
\(619\) −10.8898 18.8617i −0.437699 0.758117i 0.559813 0.828619i \(-0.310873\pi\)
−0.997512 + 0.0705023i \(0.977540\pi\)
\(620\) −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 0.893873 + 0.448321i \(0.147978\pi\)
−0.993300 + 0.115561i \(0.963133\pi\)
\(632\) 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 0.950351 0.311180i \(-0.100724\pi\)
−0.999468 + 0.0326255i \(0.989613\pi\)
\(642\) 13.2343 + 4.61280i 0.522317 + 0.182053i
\(643\) 9.97359 + 3.63009i 0.393320 + 0.143157i 0.531106 0.847305i \(-0.321776\pi\)
−0.137786 + 0.990462i \(0.543999\pi\)
\(644\) 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 \(-0.834658\pi\)
0.868098 0.496393i \(-0.165342\pi\)
\(648\) −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 0.410570 0.911829i \(-0.365330\pi\)
−0.584382 + 0.811479i \(0.698663\pi\)
\(654\) −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 0.560011 0.828485i \(-0.310797\pi\)
0.961533 + 0.274688i \(0.0885747\pi\)
\(660\) 11.4107 0.156162i 0.444163 0.00607860i
\(661\) −46.7645 8.24585i −1.81893 0.320726i −0.842851 0.538147i \(-0.819125\pi\)
−0.976078 + 0.217421i \(0.930236\pi\)
\(662\) −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 −0.997014 0.0772240i \(-0.975394\pi\)
−0.431629 + 0.902051i \(0.642061\pi\)
\(674\) 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 −0.374625 0.927176i \(-0.622229\pi\)
0.990271 0.139153i \(-0.0444381\pi\)
\(678\) −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 −0.441121 0.897447i \(-0.645419\pi\)
0.997773 0.0667014i \(-0.0212475\pi\)
\(692\) 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 0.870108 0.492861i \(-0.164049\pi\)
−0.636466 + 0.771305i \(0.719604\pi\)
\(702\) 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 −0.293753 0.955881i \(-0.594904\pi\)
0.389400 + 0.921069i \(0.372682\pi\)
\(710\) −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 −0.983240 0.182315i \(-0.941641\pi\)
0.870396 + 0.492353i \(0.163863\pi\)
\(720\) −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 −0.830693 0.556730i \(-0.812056\pi\)
0.590183 0.807269i \(-0.299055\pi\)
\(728\) 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 0.983717 + 0.179726i \(0.0575211\pi\)
−0.336211 + 0.941787i \(0.609146\pi\)
\(734\) −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 −0.187905 0.982187i \(-0.560170\pi\)
0.934636 + 0.355606i \(0.115725\pi\)
\(740\) 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 −0.968407 0.249374i \(-0.919775\pi\)
0.0774234 + 0.996998i \(0.475331\pi\)
\(744\) −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 −0.794612 0.607118i \(-0.792326\pi\)
0.735877 + 0.677115i \(0.236770\pi\)
\(752\) 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 0.207273 0.978283i \(-0.433541\pi\)
−0.470048 + 0.882641i \(0.655763\pi\)
\(758\) −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 \(-0.842547\pi\)
0.880133 0.474727i \(-0.157453\pi\)
\(762\) −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