Properties

Label 483.2.y.b.163.1
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 163.1
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.b.403.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.35566 + 1.21442i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(2.91417 - 4.09238i) q^{4} +(2.56846 - 2.44902i) q^{5} +(1.10096 - 2.41077i) q^{6} +(0.193345 + 2.63868i) q^{7} +(-1.14055 + 7.93269i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(-2.35566 + 1.21442i) q^{2} +(-0.786053 + 0.618159i) q^{3} +(2.91417 - 4.09238i) q^{4} +(2.56846 - 2.44902i) q^{5} +(1.10096 - 2.41077i) q^{6} +(0.193345 + 2.63868i) q^{7} +(-1.14055 + 7.93269i) q^{8} +(0.235759 - 0.971812i) q^{9} +(-3.07626 + 8.88826i) q^{10} +(-4.35028 - 2.24272i) q^{11} +(0.239049 + 5.01825i) q^{12} +(2.03489 + 2.34839i) q^{13} +(-3.65993 - 5.98101i) q^{14} +(-0.505062 + 3.51278i) q^{15} +(-3.66057 - 10.5765i) q^{16} +(5.00914 - 0.478315i) q^{17} +(0.624825 + 2.57556i) q^{18} +(3.28744 + 0.313913i) q^{19} +(-2.53740 - 17.6480i) q^{20} +(-1.78310 - 1.95462i) q^{21} +12.9714 q^{22} +(-3.34321 - 3.43845i) q^{23} +(-4.00713 - 6.94055i) q^{24} +(0.361371 - 7.58611i) q^{25} +(-7.64545 - 3.06078i) q^{26} +(0.415415 + 0.909632i) q^{27} +(11.3619 + 6.89831i) q^{28} +(-0.0709396 + 0.155336i) q^{29} +(-3.07626 - 8.88826i) q^{30} +(5.38015 - 2.15389i) q^{31} +(9.86707 + 9.40823i) q^{32} +(4.80591 - 0.926263i) q^{33} +(-11.2189 + 7.20997i) q^{34} +(6.95878 + 6.30383i) q^{35} +(-3.28998 - 3.79684i) q^{36} +(1.62049 - 6.67976i) q^{37} +(-8.12530 + 3.25288i) q^{38} +(-3.05121 - 0.588073i) q^{39} +(16.4979 + 23.1680i) q^{40} +(5.88412 + 1.72773i) q^{41} +(6.57411 + 2.43897i) q^{42} +(0.536783 + 3.73341i) q^{43} +(-21.8555 + 11.2673i) q^{44} +(-1.77445 - 3.07344i) q^{45} +(12.0512 + 4.03973i) q^{46} +(-1.46024 + 2.52922i) q^{47} +(9.41538 + 6.05090i) q^{48} +(-6.92524 + 1.02035i) q^{49} +(8.36149 + 18.3091i) q^{50} +(-3.64178 + 3.47243i) q^{51} +(15.5405 - 1.48394i) q^{52} +(9.99028 + 1.92547i) q^{53} +(-2.08325 - 1.63829i) q^{54} +(-16.6660 + 4.89358i) q^{55} +(-21.1523 - 1.47579i) q^{56} +(-2.77815 + 1.78541i) q^{57} +(-0.0215347 - 0.452069i) q^{58} +(2.18153 - 6.30312i) q^{59} +(12.9038 + 12.3037i) q^{60} +(-1.00727 - 0.792124i) q^{61} +(-10.0580 + 11.6076i) q^{62} +(2.60988 + 0.434197i) q^{63} +(-13.1915 - 3.87338i) q^{64} +(10.9778 + 1.04825i) q^{65} +(-10.1962 + 8.01837i) q^{66} +(-0.283977 + 5.96141i) q^{67} +(12.6400 - 21.8932i) q^{68} +(4.75345 + 0.636169i) q^{69} +(-24.0480 - 6.39874i) q^{70} +(3.68297 + 2.36690i) q^{71} +(7.44018 + 2.97860i) q^{72} +(4.83762 - 6.79348i) q^{73} +(4.29475 + 17.7032i) q^{74} +(4.40537 + 6.18647i) q^{75} +(10.8648 - 12.5387i) q^{76} +(5.07672 - 11.9126i) q^{77} +(7.90178 - 2.32017i) q^{78} +(15.5391 - 2.99491i) q^{79} +(-35.3042 - 18.2006i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(-15.9592 + 3.07587i) q^{82} +(-2.30455 + 0.676678i) q^{83} +(-13.1953 + 1.60103i) q^{84} +(11.6944 - 13.4960i) q^{85} +(-5.79842 - 8.14275i) q^{86} +(-0.0402601 - 0.165954i) q^{87} +(22.7525 - 31.9515i) q^{88} +(-8.38164 - 3.35550i) q^{89} +(7.91246 + 5.08503i) q^{90} +(-5.80321 + 5.82348i) q^{91} +(-23.8141 + 3.66146i) q^{92} +(-2.89764 + 5.01886i) q^{93} +(0.368288 - 7.73132i) q^{94} +(9.21244 - 7.24475i) q^{95} +(-13.5718 - 1.29595i) q^{96} +(10.0730 + 2.95770i) q^{97} +(15.0743 - 10.8138i) q^{98} +(-3.20512 + 3.69891i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} + 16 q^{3} + 18 q^{4} - 2 q^{5} + 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 2 q^{11} + 18 q^{12} + 18 q^{14} - 18 q^{15} - 8 q^{16} + 4 q^{17} + 2 q^{18} + 8 q^{19} - 162 q^{20} - 4 q^{21} + 144 q^{22} - 26 q^{23} + 6 q^{24} - 8 q^{25} - 14 q^{26} - 32 q^{27} + 86 q^{28} - 74 q^{29} - 56 q^{31} - 28 q^{32} + 13 q^{33} + 40 q^{34} - 32 q^{35} - 14 q^{36} + 2 q^{37} - 39 q^{38} - 52 q^{40} + 60 q^{41} - 61 q^{42} + 16 q^{43} - 75 q^{44} - 2 q^{45} - 4 q^{46} - 40 q^{47} - 28 q^{48} - 100 q^{49} + 146 q^{50} - 18 q^{51} - 18 q^{52} + 34 q^{53} + 2 q^{54} + 36 q^{55} - 102 q^{56} + 28 q^{57} - 17 q^{58} - 102 q^{59} - 18 q^{60} - 18 q^{61} - 88 q^{62} + 2 q^{63} - 252 q^{64} - 78 q^{65} + 16 q^{66} + 12 q^{67} + 34 q^{68} + 8 q^{69} + 264 q^{70} + 160 q^{71} + 6 q^{72} - 8 q^{73} + 70 q^{74} + 14 q^{75} - 40 q^{76} - 90 q^{77} - 16 q^{78} + 26 q^{79} - 103 q^{80} + 16 q^{81} - 30 q^{82} - 80 q^{83} - 52 q^{84} - 128 q^{85} + 90 q^{86} + 4 q^{87} - 293 q^{88} - 36 q^{89} + 16 q^{91} - 174 q^{92} + 32 q^{93} + 57 q^{94} - 85 q^{95} - 50 q^{96} - 8 q^{97} - 193 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.35566 + 1.21442i −1.66570 + 0.858728i −0.672793 + 0.739830i \(0.734906\pi\)
−0.992907 + 0.118897i \(0.962064\pi\)
\(3\) −0.786053 + 0.618159i −0.453828 + 0.356894i
\(4\) 2.91417 4.09238i 1.45709 2.04619i
\(5\) 2.56846 2.44902i 1.14865 1.09524i 0.154417 0.988006i \(-0.450650\pi\)
0.994234 0.107231i \(-0.0341984\pi\)
\(6\) 1.10096 2.41077i 0.449466 0.984193i
\(7\) 0.193345 + 2.63868i 0.0730776 + 0.997326i
\(8\) −1.14055 + 7.93269i −0.403245 + 2.80463i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) −3.07626 + 8.88826i −0.972798 + 2.81071i
\(11\) −4.35028 2.24272i −1.31166 0.676207i −0.346543 0.938034i \(-0.612645\pi\)
−0.965115 + 0.261827i \(0.915675\pi\)
\(12\) 0.239049 + 5.01825i 0.0690074 + 1.44864i
\(13\) 2.03489 + 2.34839i 0.564378 + 0.651327i 0.964172 0.265278i \(-0.0854639\pi\)
−0.399794 + 0.916605i \(0.630918\pi\)
\(14\) −3.65993 5.98101i −0.978157 1.59849i
\(15\) −0.505062 + 3.51278i −0.130406 + 0.906996i
\(16\) −3.66057 10.5765i −0.915143 2.64413i
\(17\) 5.00914 0.478315i 1.21490 0.116008i 0.532140 0.846656i \(-0.321388\pi\)
0.682755 + 0.730648i \(0.260782\pi\)
\(18\) 0.624825 + 2.57556i 0.147273 + 0.607066i
\(19\) 3.28744 + 0.313913i 0.754191 + 0.0720165i 0.465067 0.885275i \(-0.346030\pi\)
0.289123 + 0.957292i \(0.406636\pi\)
\(20\) −2.53740 17.6480i −0.567380 3.94621i
\(21\) −1.78310 1.95462i −0.389105 0.426534i
\(22\) 12.9714 2.76551
\(23\) −3.34321 3.43845i −0.697108 0.716966i
\(24\) −4.00713 6.94055i −0.817952 1.41673i
\(25\) 0.361371 7.58611i 0.0722742 1.51722i
\(26\) −7.64545 3.06078i −1.49940 0.600268i
\(27\) 0.415415 + 0.909632i 0.0799467 + 0.175059i
\(28\) 11.3619 + 6.89831i 2.14720 + 1.30366i
\(29\) −0.0709396 + 0.155336i −0.0131732 + 0.0288452i −0.916104 0.400940i \(-0.868684\pi\)
0.902931 + 0.429785i \(0.141411\pi\)
\(30\) −3.07626 8.88826i −0.561645 1.62277i
\(31\) 5.38015 2.15389i 0.966304 0.386850i 0.165788 0.986161i \(-0.446983\pi\)
0.800516 + 0.599312i \(0.204559\pi\)
\(32\) 9.86707 + 9.40823i 1.74427 + 1.66316i
\(33\) 4.80591 0.926263i 0.836601 0.161242i
\(34\) −11.2189 + 7.20997i −1.92403 + 1.23650i
\(35\) 6.95878 + 6.30383i 1.17625 + 1.06554i
\(36\) −3.28998 3.79684i −0.548330 0.632807i
\(37\) 1.62049 6.67976i 0.266407 1.09815i −0.668629 0.743596i \(-0.733119\pi\)
0.935037 0.354550i \(-0.115366\pi\)
\(38\) −8.12530 + 3.25288i −1.31810 + 0.527687i
\(39\) −3.05121 0.588073i −0.488585 0.0941671i
\(40\) 16.4979 + 23.1680i 2.60854 + 3.66319i
\(41\) 5.88412 + 1.72773i 0.918945 + 0.269826i 0.706801 0.707412i \(-0.250137\pi\)
0.212143 + 0.977239i \(0.431956\pi\)
\(42\) 6.57411 + 2.43897i 1.01441 + 0.376342i
\(43\) 0.536783 + 3.73341i 0.0818587 + 0.569340i 0.988932 + 0.148368i \(0.0474019\pi\)
−0.907074 + 0.420972i \(0.861689\pi\)
\(44\) −21.8555 + 11.2673i −3.29484 + 1.69861i
\(45\) −1.77445 3.07344i −0.264520 0.458161i
\(46\) 12.0512 + 4.03973i 1.77685 + 0.595625i
\(47\) −1.46024 + 2.52922i −0.212999 + 0.368924i −0.952652 0.304064i \(-0.901656\pi\)
0.739653 + 0.672988i \(0.234990\pi\)
\(48\) 9.41538 + 6.05090i 1.35899 + 0.873372i
\(49\) −6.92524 + 1.02035i −0.989319 + 0.145764i
\(50\) 8.36149 + 18.3091i 1.18249 + 2.58930i
\(51\) −3.64178 + 3.47243i −0.509951 + 0.486237i
\(52\) 15.5405 1.48394i 2.15508 0.205786i
\(53\) 9.99028 + 1.92547i 1.37227 + 0.264483i 0.821517 0.570185i \(-0.193128\pi\)
0.550754 + 0.834668i \(0.314340\pi\)
\(54\) −2.08325 1.63829i −0.283495 0.222943i
\(55\) −16.6660 + 4.89358i −2.24724 + 0.659850i
\(56\) −21.1523 1.47579i −2.82660 0.197211i
\(57\) −2.77815 + 1.78541i −0.367975 + 0.236483i
\(58\) −0.0215347 0.452069i −0.00282764 0.0593596i
\(59\) 2.18153 6.30312i 0.284011 0.820597i −0.709277 0.704930i \(-0.750978\pi\)
0.993288 0.115667i \(-0.0369004\pi\)
\(60\) 12.9038 + 12.3037i 1.66587 + 1.58841i
\(61\) −1.00727 0.792124i −0.128967 0.101421i 0.551592 0.834114i \(-0.314021\pi\)
−0.680559 + 0.732693i \(0.738263\pi\)
\(62\) −10.0580 + 11.6076i −1.27737 + 1.47417i
\(63\) 2.60988 + 0.434197i 0.328814 + 0.0547036i
\(64\) −13.1915 3.87338i −1.64894 0.484173i
\(65\) 10.9778 + 1.04825i 1.36163 + 0.130020i
\(66\) −10.1962 + 8.01837i −1.25506 + 0.986993i
\(67\) −0.283977 + 5.96141i −0.0346933 + 0.728302i 0.912777 + 0.408458i \(0.133933\pi\)
−0.947470 + 0.319844i \(0.896370\pi\)
\(68\) 12.6400 21.8932i 1.53283 2.65494i
\(69\) 4.75345 + 0.636169i 0.572248 + 0.0765857i
\(70\) −24.0480 6.39874i −2.87429 0.764796i
\(71\) 3.68297 + 2.36690i 0.437088 + 0.280900i 0.740623 0.671921i \(-0.234530\pi\)
−0.303535 + 0.952820i \(0.598167\pi\)
\(72\) 7.44018 + 2.97860i 0.876834 + 0.351031i
\(73\) 4.83762 6.79348i 0.566200 0.795117i −0.427872 0.903839i \(-0.640737\pi\)
0.994072 + 0.108722i \(0.0346760\pi\)
\(74\) 4.29475 + 17.7032i 0.499254 + 2.05795i
\(75\) 4.40537 + 6.18647i 0.508688 + 0.714352i
\(76\) 10.8648 12.5387i 1.24628 1.43828i
\(77\) 5.07672 11.9126i 0.578546 1.35757i
\(78\) 7.90178 2.32017i 0.894700 0.262708i
\(79\) 15.5391 2.99491i 1.74828 0.336954i 0.787934 0.615760i \(-0.211151\pi\)
0.960347 + 0.278806i \(0.0899388\pi\)
\(80\) −35.3042 18.2006i −3.94713 2.03489i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) −15.9592 + 3.07587i −1.76239 + 0.339673i
\(83\) −2.30455 + 0.676678i −0.252958 + 0.0742750i −0.405753 0.913983i \(-0.632991\pi\)
0.152795 + 0.988258i \(0.451172\pi\)
\(84\) −13.1953 + 1.60103i −1.43973 + 0.174686i
\(85\) 11.6944 13.4960i 1.26843 1.46385i
\(86\) −5.79842 8.14275i −0.625260 0.878055i
\(87\) −0.0402601 0.165954i −0.00431633 0.0177922i
\(88\) 22.7525 31.9515i 2.42543 3.40604i
\(89\) −8.38164 3.35550i −0.888452 0.355683i −0.117874 0.993029i \(-0.537608\pi\)
−0.770578 + 0.637346i \(0.780032\pi\)
\(90\) 7.91246 + 5.08503i 0.834046 + 0.536009i
\(91\) −5.80321 + 5.82348i −0.608342 + 0.610466i
\(92\) −23.8141 + 3.66146i −2.48280 + 0.381733i
\(93\) −2.89764 + 5.01886i −0.300471 + 0.520431i
\(94\) 0.368288 7.73132i 0.0379860 0.797425i
\(95\) 9.21244 7.24475i 0.945177 0.743295i
\(96\) −13.5718 1.29595i −1.38517 0.132268i
\(97\) 10.0730 + 2.95770i 1.02276 + 0.300309i 0.749763 0.661706i \(-0.230167\pi\)
0.272996 + 0.962015i \(0.411986\pi\)
\(98\) 15.0743 10.8138i 1.52274 1.09236i
\(99\) −3.20512 + 3.69891i −0.322127 + 0.371754i
\(100\) −29.9922 23.5861i −2.99922 2.35861i
\(101\) 10.8811 + 10.3751i 1.08271 + 1.03236i 0.999358 + 0.0358402i \(0.0114107\pi\)
0.0833509 + 0.996520i \(0.473438\pi\)
\(102\) 4.36177 12.6025i 0.431879 1.24783i
\(103\) −0.304787 6.39826i −0.0300315 0.630439i −0.962841 0.270069i \(-0.912953\pi\)
0.932809 0.360370i \(-0.117350\pi\)
\(104\) −20.9499 + 13.4637i −2.05431 + 1.32023i
\(105\) −9.36674 0.653515i −0.914101 0.0637765i
\(106\) −25.8720 + 7.59670i −2.51291 + 0.737857i
\(107\) −9.39137 7.38545i −0.907898 0.713979i 0.0507086 0.998713i \(-0.483852\pi\)
−0.958606 + 0.284735i \(0.908094\pi\)
\(108\) 4.93315 + 0.950787i 0.474693 + 0.0914895i
\(109\) −19.0561 + 1.81964i −1.82525 + 0.174290i −0.950589 0.310451i \(-0.899520\pi\)
−0.874658 + 0.484741i \(0.838914\pi\)
\(110\) 33.3165 31.7672i 3.17660 3.02888i
\(111\) 2.85536 + 6.25237i 0.271019 + 0.593449i
\(112\) 27.2003 11.7040i 2.57019 1.10592i
\(113\) 11.0662 + 7.11184i 1.04102 + 0.669026i 0.945240 0.326377i \(-0.105828\pi\)
0.0957843 + 0.995402i \(0.469464\pi\)
\(114\) 4.37612 7.57966i 0.409861 0.709900i
\(115\) −17.0078 0.643927i −1.58598 0.0600465i
\(116\) 0.428964 + 0.742988i 0.0398283 + 0.0689847i
\(117\) 2.76194 1.42388i 0.255341 0.131638i
\(118\) 2.51573 + 17.4973i 0.231592 + 1.61076i
\(119\) 2.23061 + 13.1250i 0.204480 + 1.20317i
\(120\) −27.2897 8.01299i −2.49120 0.731483i
\(121\) 7.51447 + 10.5526i 0.683134 + 0.959327i
\(122\) 3.33475 + 0.642721i 0.301914 + 0.0581892i
\(123\) −5.69324 + 2.27923i −0.513342 + 0.205511i
\(124\) 6.86415 28.2944i 0.616419 2.54091i
\(125\) −6.03021 6.95923i −0.539358 0.622453i
\(126\) −6.67528 + 2.14669i −0.594681 + 0.191242i
\(127\) −0.458451 + 0.294629i −0.0406809 + 0.0261441i −0.560823 0.827936i \(-0.689515\pi\)
0.520142 + 0.854080i \(0.325879\pi\)
\(128\) 9.00428 1.73543i 0.795874 0.153392i
\(129\) −2.72978 2.60284i −0.240344 0.229167i
\(130\) −27.1330 + 10.8624i −2.37972 + 0.952695i
\(131\) −0.599154 1.73114i −0.0523483 0.151251i 0.915796 0.401644i \(-0.131561\pi\)
−0.968144 + 0.250394i \(0.919440\pi\)
\(132\) 10.2146 22.3669i 0.889068 1.94679i
\(133\) −0.192703 + 8.73519i −0.0167095 + 0.757437i
\(134\) −6.57073 14.3879i −0.567625 1.24292i
\(135\) 3.29469 + 1.31899i 0.283562 + 0.113521i
\(136\) −1.91884 + 40.2815i −0.164540 + 3.45411i
\(137\) 2.29833 + 3.98083i 0.196360 + 0.340105i 0.947346 0.320213i \(-0.103755\pi\)
−0.750986 + 0.660319i \(0.770421\pi\)
\(138\) −11.9701 + 4.27411i −1.01896 + 0.363837i
\(139\) −10.2110 −0.866086 −0.433043 0.901373i \(-0.642560\pi\)
−0.433043 + 0.901373i \(0.642560\pi\)
\(140\) 46.0768 10.1075i 3.89420 0.854242i
\(141\) −0.415629 2.89076i −0.0350023 0.243446i
\(142\) −11.5502 1.10291i −0.969274 0.0925544i
\(143\) −3.58555 14.7799i −0.299839 1.23595i
\(144\) −11.1414 + 1.06388i −0.928451 + 0.0886563i
\(145\) 0.198216 + 0.572707i 0.0164609 + 0.0475608i
\(146\) −3.14558 + 21.8780i −0.260330 + 1.81064i
\(147\) 4.81286 5.08295i 0.396958 0.419234i
\(148\) −22.6137 26.0976i −1.85884 2.14521i
\(149\) −0.0930379 1.95311i −0.00762196 0.160005i −0.999469 0.0325733i \(-0.989630\pi\)
0.991847 0.127431i \(-0.0406733\pi\)
\(150\) −17.8905 9.22321i −1.46076 0.753072i
\(151\) −0.819620 + 2.36814i −0.0666997 + 0.192716i −0.973425 0.229005i \(-0.926453\pi\)
0.906725 + 0.421721i \(0.138574\pi\)
\(152\) −6.23965 + 25.7202i −0.506103 + 2.08618i
\(153\) 0.716118 4.98071i 0.0578947 0.402666i
\(154\) 2.50795 + 34.2273i 0.202097 + 2.75811i
\(155\) 8.54379 18.7083i 0.686254 1.50269i
\(156\) −11.2984 + 10.7730i −0.904594 + 0.862529i
\(157\) −6.97522 + 9.79533i −0.556683 + 0.781752i −0.993009 0.118036i \(-0.962340\pi\)
0.436326 + 0.899789i \(0.356279\pi\)
\(158\) −32.9676 + 25.9260i −2.62276 + 2.06256i
\(159\) −9.04313 + 4.66206i −0.717167 + 0.369725i
\(160\) 48.3842 3.82510
\(161\) 8.42657 9.48646i 0.664106 0.747638i
\(162\) 2.65027 0.208225
\(163\) −2.15890 + 1.11299i −0.169098 + 0.0871762i −0.540698 0.841217i \(-0.681840\pi\)
0.371600 + 0.928393i \(0.378809\pi\)
\(164\) 24.2179 19.0451i 1.89110 1.48718i
\(165\) 10.0754 14.1489i 0.784365 1.10149i
\(166\) 4.60696 4.39273i 0.357569 0.340942i
\(167\) −0.194510 + 0.425917i −0.0150516 + 0.0329585i −0.917009 0.398868i \(-0.869403\pi\)
0.901957 + 0.431826i \(0.142131\pi\)
\(168\) 17.5391 11.9154i 1.35317 0.919297i
\(169\) 0.475939 3.31023i 0.0366107 0.254633i
\(170\) −11.1580 + 45.9940i −0.855781 + 3.52758i
\(171\) 1.08011 3.12076i 0.0825979 0.238651i
\(172\) 16.8428 + 8.68308i 1.28425 + 0.662078i
\(173\) 0.966578 + 20.2910i 0.0734876 + 1.54269i 0.671378 + 0.741115i \(0.265703\pi\)
−0.597890 + 0.801578i \(0.703994\pi\)
\(174\) 0.296378 + 0.342038i 0.0224684 + 0.0259299i
\(175\) 20.0872 0.513197i 1.51845 0.0387940i
\(176\) −7.79573 + 54.2205i −0.587625 + 4.08702i
\(177\) 2.18153 + 6.30312i 0.163974 + 0.473772i
\(178\) 23.8193 2.27446i 1.78533 0.170478i
\(179\) −0.223679 0.922016i −0.0167185 0.0689147i 0.962841 0.270068i \(-0.0870462\pi\)
−0.979560 + 0.201153i \(0.935531\pi\)
\(180\) −17.7487 1.69480i −1.32291 0.126323i
\(181\) −3.18517 22.1534i −0.236752 1.64665i −0.667817 0.744325i \(-0.732771\pi\)
0.431065 0.902321i \(-0.358138\pi\)
\(182\) 6.59819 20.7657i 0.489090 1.53925i
\(183\) 1.28143 0.0947257
\(184\) 31.0892 22.5989i 2.29193 1.66602i
\(185\) −12.1967 21.1253i −0.896721 1.55317i
\(186\) 0.730814 15.3417i 0.0535859 1.12491i
\(187\) −22.8639 9.15332i −1.67197 0.669357i
\(188\) 6.09512 + 13.3465i 0.444532 + 0.973390i
\(189\) −2.31991 + 1.27202i −0.168748 + 0.0925258i
\(190\) −12.9031 + 28.2539i −0.936093 + 2.04976i
\(191\) 5.27573 + 15.2432i 0.381738 + 1.10296i 0.958265 + 0.285882i \(0.0922864\pi\)
−0.576527 + 0.817078i \(0.695592\pi\)
\(192\) 12.7636 5.10978i 0.921134 0.368767i
\(193\) −12.4950 11.9140i −0.899410 0.857586i 0.0909852 0.995852i \(-0.470998\pi\)
−0.990395 + 0.138267i \(0.955847\pi\)
\(194\) −27.3204 + 5.26558i −1.96149 + 0.378047i
\(195\) −9.27713 + 5.96205i −0.664349 + 0.426951i
\(196\) −16.0057 + 31.3142i −1.14326 + 2.23673i
\(197\) −6.64516 7.66892i −0.473448 0.546388i 0.467919 0.883771i \(-0.345004\pi\)
−0.941367 + 0.337383i \(0.890458\pi\)
\(198\) 3.05812 12.6057i 0.217331 0.895850i
\(199\) 15.5039 6.20682i 1.09904 0.439989i 0.249962 0.968256i \(-0.419582\pi\)
0.849079 + 0.528266i \(0.177158\pi\)
\(200\) 59.7661 + 11.5190i 4.22610 + 0.814514i
\(201\) −3.46188 4.86153i −0.244182 0.342906i
\(202\) −38.2319 11.2259i −2.68998 0.789851i
\(203\) −0.423598 0.157153i −0.0297307 0.0110300i
\(204\) 3.59773 + 25.0228i 0.251892 + 1.75194i
\(205\) 19.3444 9.97272i 1.35107 0.696525i
\(206\) 8.48817 + 14.7019i 0.591399 + 1.02433i
\(207\) −4.12972 + 2.43833i −0.287035 + 0.169475i
\(208\) 17.3890 30.1186i 1.20571 2.08835i
\(209\) −13.5973 8.73843i −0.940542 0.604450i
\(210\) 22.8585 9.83575i 1.57738 0.678731i
\(211\) −0.871430 1.90817i −0.0599917 0.131364i 0.877262 0.480012i \(-0.159368\pi\)
−0.937253 + 0.348649i \(0.886641\pi\)
\(212\) 36.9931 35.2729i 2.54070 2.42255i
\(213\) −4.35813 + 0.416151i −0.298614 + 0.0285142i
\(214\) 31.0919 + 5.99247i 2.12540 + 0.409637i
\(215\) 10.5219 + 8.27453i 0.717589 + 0.564318i
\(216\) −7.68963 + 2.25788i −0.523213 + 0.153629i
\(217\) 6.72364 + 13.7800i 0.456431 + 0.935450i
\(218\) 42.6799 27.4287i 2.89065 1.85771i
\(219\) 0.396828 + 8.33045i 0.0268152 + 0.562920i
\(220\) −28.5412 + 82.4643i −1.92425 + 5.55975i
\(221\) 11.3163 + 10.7901i 0.761219 + 0.725821i
\(222\) −14.3193 11.2608i −0.961047 0.755776i
\(223\) 7.26045 8.37901i 0.486196 0.561100i −0.458649 0.888617i \(-0.651667\pi\)
0.944845 + 0.327517i \(0.106212\pi\)
\(224\) −22.9175 + 27.8550i −1.53124 + 1.86114i
\(225\) −7.28707 2.13968i −0.485805 0.142645i
\(226\) −34.7050 3.31393i −2.30854 0.220439i
\(227\) −15.9164 + 12.5168i −1.05641 + 0.830771i −0.986000 0.166747i \(-0.946674\pi\)
−0.0704120 + 0.997518i \(0.522431\pi\)
\(228\) −0.789433 + 16.5722i −0.0522815 + 1.09752i
\(229\) 0.106290 0.184099i 0.00702383 0.0121656i −0.862492 0.506070i \(-0.831098\pi\)
0.869516 + 0.493905i \(0.164431\pi\)
\(230\) 40.8464 19.1378i 2.69333 1.26191i
\(231\) 3.37331 + 12.5022i 0.221947 + 0.822581i
\(232\) −1.15132 0.739910i −0.0755880 0.0485775i
\(233\) −21.4073 8.57021i −1.40244 0.561453i −0.457652 0.889131i \(-0.651310\pi\)
−0.944789 + 0.327678i \(0.893734\pi\)
\(234\) −4.77698 + 6.70833i −0.312281 + 0.438537i
\(235\) 2.44353 + 10.0724i 0.159398 + 0.657049i
\(236\) −19.4374 27.2960i −1.26527 1.77682i
\(237\) −10.3632 + 11.9598i −0.673162 + 0.776870i
\(238\) −21.1939 28.2091i −1.37380 1.82853i
\(239\) −14.0159 + 4.11544i −0.906613 + 0.266206i −0.701615 0.712557i \(-0.747537\pi\)
−0.204999 + 0.978762i \(0.565719\pi\)
\(240\) 39.0019 7.51699i 2.51756 0.485220i
\(241\) −25.9673 13.3871i −1.67270 0.862336i −0.991481 0.130255i \(-0.958420\pi\)
−0.681218 0.732081i \(-0.738549\pi\)
\(242\) −30.5168 15.7325i −1.96170 1.01133i
\(243\) 0.981929 0.189251i 0.0629908 0.0121405i
\(244\) −6.17703 + 1.81374i −0.395444 + 0.116113i
\(245\) −15.2883 + 19.5808i −0.976736 + 1.25097i
\(246\) 10.6434 12.2831i 0.678596 0.783141i
\(247\) 5.95240 + 8.35897i 0.378742 + 0.531869i
\(248\) 10.9498 + 45.1357i 0.695313 + 2.86612i
\(249\) 1.39321 1.95648i 0.0882909 0.123987i
\(250\) 22.6566 + 9.07032i 1.43293 + 0.573657i
\(251\) 1.30659 + 0.839698i 0.0824715 + 0.0530012i 0.581227 0.813742i \(-0.302573\pi\)
−0.498755 + 0.866743i \(0.666209\pi\)
\(252\) 9.38253 9.41530i 0.591044 0.593108i
\(253\) 6.83240 + 22.4561i 0.429549 + 1.41180i
\(254\) 0.722148 1.25080i 0.0453116 0.0784820i
\(255\) −0.849709 + 17.8376i −0.0532109 + 1.11703i
\(256\) 2.51057 1.97434i 0.156911 0.123396i
\(257\) −8.14541 0.777792i −0.508097 0.0485174i −0.162140 0.986768i \(-0.551840\pi\)
−0.345957 + 0.938250i \(0.612446\pi\)
\(258\) 9.59138 + 2.81628i 0.597133 + 0.175334i
\(259\) 17.9391 + 2.98446i 1.11468 + 0.185445i
\(260\) 36.2811 41.8706i 2.25006 2.59670i
\(261\) 0.134233 + 0.105562i 0.00830880 + 0.00653411i
\(262\) 3.51374 + 3.35035i 0.217080 + 0.206985i
\(263\) 7.69334 22.2285i 0.474392 1.37067i −0.413454 0.910525i \(-0.635678\pi\)
0.887846 0.460140i \(-0.152201\pi\)
\(264\) 1.86638 + 39.1802i 0.114868 + 2.41138i
\(265\) 30.3752 19.5209i 1.86593 1.19916i
\(266\) −10.1543 20.8111i −0.622599 1.27601i
\(267\) 8.66265 2.54358i 0.530146 0.155665i
\(268\) 23.5688 + 18.5347i 1.43969 + 1.13219i
\(269\) −25.9066 4.99309i −1.57955 0.304434i −0.677322 0.735687i \(-0.736859\pi\)
−0.902231 + 0.431253i \(0.858072\pi\)
\(270\) −9.36297 + 0.894055i −0.569812 + 0.0544105i
\(271\) −8.92519 + 8.51015i −0.542167 + 0.516955i −0.910926 0.412570i \(-0.864631\pi\)
0.368759 + 0.929525i \(0.379783\pi\)
\(272\) −23.3952 51.2284i −1.41855 3.10618i
\(273\) 0.961798 8.16487i 0.0582106 0.494160i
\(274\) −10.2485 6.58631i −0.619135 0.397894i
\(275\) −18.5856 + 32.1912i −1.12075 + 1.94120i
\(276\) 16.4558 17.5990i 0.990523 1.05934i
\(277\) 3.51898 + 6.09506i 0.211435 + 0.366217i 0.952164 0.305588i \(-0.0988529\pi\)
−0.740729 + 0.671804i \(0.765520\pi\)
\(278\) 24.0536 12.4005i 1.44264 0.743733i
\(279\) −0.824754 5.73629i −0.0493767 0.343423i
\(280\) −57.9432 + 48.0120i −3.46277 + 2.86927i
\(281\) 21.8112 + 6.40435i 1.30115 + 0.382051i 0.857654 0.514227i \(-0.171921\pi\)
0.443493 + 0.896278i \(0.353739\pi\)
\(282\) 4.48969 + 6.30489i 0.267357 + 0.375451i
\(283\) 2.70135 + 0.520643i 0.160579 + 0.0309490i 0.268907 0.963166i \(-0.413338\pi\)
−0.108328 + 0.994115i \(0.534550\pi\)
\(284\) 20.4191 8.17456i 1.21165 0.485071i
\(285\) −2.76307 + 11.3895i −0.163670 + 0.674656i
\(286\) 26.3953 + 30.4619i 1.56079 + 1.80125i
\(287\) −3.42126 + 15.8603i −0.201951 + 0.936206i
\(288\) 11.4693 7.37086i 0.675834 0.434332i
\(289\) 8.16992 1.57462i 0.480584 0.0926249i
\(290\) −1.16244 1.10838i −0.0682607 0.0650865i
\(291\) −9.74625 + 3.90181i −0.571335 + 0.228728i
\(292\) −13.7039 39.5947i −0.801958 2.31711i
\(293\) 2.42317 5.30600i 0.141563 0.309980i −0.825549 0.564330i \(-0.809134\pi\)
0.967112 + 0.254351i \(0.0818617\pi\)
\(294\) −5.16459 + 17.8185i −0.301205 + 1.03920i
\(295\) −9.83331 21.5320i −0.572518 1.25364i
\(296\) 51.1402 + 20.4735i 2.97246 + 1.19000i
\(297\) 0.232883 4.88881i 0.0135132 0.283678i
\(298\) 2.59106 + 4.48786i 0.150096 + 0.259975i
\(299\) 1.27175 14.8480i 0.0735473 0.858685i
\(300\) 38.1554 2.20290
\(301\) −9.74748 + 2.13824i −0.561836 + 0.123246i
\(302\) −0.945181 6.57388i −0.0543891 0.378284i
\(303\) −14.9666 1.42913i −0.859807 0.0821016i
\(304\) −8.71381 35.9188i −0.499771 2.06009i
\(305\) −4.52706 + 0.432282i −0.259219 + 0.0247524i
\(306\) 4.36177 + 12.6025i 0.249346 + 0.720437i
\(307\) −2.89876 + 20.1613i −0.165441 + 1.15067i 0.722723 + 0.691138i \(0.242890\pi\)
−0.888164 + 0.459527i \(0.848019\pi\)
\(308\) −33.9564 55.4912i −1.93485 3.16190i
\(309\) 4.19472 + 4.84096i 0.238629 + 0.275393i
\(310\) 2.59359 + 54.4461i 0.147306 + 3.09233i
\(311\) 2.22355 + 1.14632i 0.126086 + 0.0650017i 0.520115 0.854096i \(-0.325889\pi\)
−0.394030 + 0.919098i \(0.628919\pi\)
\(312\) 8.14506 23.5336i 0.461123 1.33233i
\(313\) −2.28554 + 9.42112i −0.129186 + 0.532513i 0.870032 + 0.492994i \(0.164098\pi\)
−0.999219 + 0.0395189i \(0.987417\pi\)
\(314\) 4.53553 31.5453i 0.255955 1.78020i
\(315\) 7.76673 5.27644i 0.437606 0.297294i
\(316\) 33.0272 72.3194i 1.85792 4.06829i
\(317\) −9.18293 + 8.75591i −0.515765 + 0.491781i −0.902667 0.430340i \(-0.858394\pi\)
0.386902 + 0.922121i \(0.373545\pi\)
\(318\) 15.6408 21.9644i 0.877092 1.23170i
\(319\) 0.656983 0.516657i 0.0367840 0.0289272i
\(320\) −43.3680 + 22.3577i −2.42434 + 1.24984i
\(321\) 11.9475 0.666844
\(322\) −8.32949 + 32.5803i −0.464184 + 1.81563i
\(323\) 16.6174 0.924617
\(324\) −4.46546 + 2.30210i −0.248081 + 0.127895i
\(325\) 18.5505 14.5883i 1.02900 0.809212i
\(326\) 3.73398 5.24364i 0.206806 0.290419i
\(327\) 13.8543 13.2101i 0.766145 0.730518i
\(328\) −20.4167 + 44.7063i −1.12732 + 2.46849i
\(329\) −6.95612 3.36410i −0.383503 0.185469i
\(330\) −6.55134 + 45.5656i −0.360639 + 2.50830i
\(331\) −0.550689 + 2.26997i −0.0302686 + 0.124769i −0.984941 0.172888i \(-0.944690\pi\)
0.954673 + 0.297657i \(0.0962052\pi\)
\(332\) −3.94664 + 11.4031i −0.216600 + 0.625824i
\(333\) −6.10942 3.14963i −0.334794 0.172599i
\(334\) −0.0590462 1.23953i −0.00323086 0.0678242i
\(335\) 13.8702 + 16.0071i 0.757812 + 0.874562i
\(336\) −14.1460 + 26.0141i −0.771725 + 1.41918i
\(337\) −4.52362 + 31.4624i −0.246417 + 1.71387i 0.372181 + 0.928160i \(0.378610\pi\)
−0.618598 + 0.785708i \(0.712299\pi\)
\(338\) 2.89888 + 8.37575i 0.157678 + 0.455581i
\(339\) −13.0949 + 1.25041i −0.711217 + 0.0679130i
\(340\) −21.1515 87.1876i −1.14710 4.72841i
\(341\) −28.2357 2.69618i −1.52905 0.146007i
\(342\) 1.24557 + 8.66316i 0.0673529 + 0.468450i
\(343\) −4.03134 18.0762i −0.217672 0.976022i
\(344\) −30.2282 −1.62980
\(345\) 13.7670 10.0073i 0.741193 0.538777i
\(346\) −26.9188 46.6247i −1.44716 2.50656i
\(347\) −0.972699 + 20.4195i −0.0522172 + 1.09617i 0.808958 + 0.587866i \(0.200032\pi\)
−0.861175 + 0.508308i \(0.830271\pi\)
\(348\) −0.796473 0.318860i −0.0426954 0.0170927i
\(349\) −11.5390 25.2668i −0.617666 1.35250i −0.917205 0.398416i \(-0.869560\pi\)
0.299539 0.954084i \(-0.403167\pi\)
\(350\) −46.6952 + 25.6033i −2.49596 + 1.36855i
\(351\) −1.29085 + 2.82656i −0.0689003 + 0.150871i
\(352\) −21.8244 63.0575i −1.16325 3.36098i
\(353\) −18.3057 + 7.32851i −0.974316 + 0.390057i −0.803539 0.595252i \(-0.797052\pi\)
−0.170777 + 0.985310i \(0.554628\pi\)
\(354\) −12.7936 12.1987i −0.679973 0.648352i
\(355\) 15.2562 2.94039i 0.809713 0.156059i
\(356\) −38.1575 + 24.5224i −2.02235 + 1.29968i
\(357\) −9.86673 8.93810i −0.522203 0.473054i
\(358\) 1.64663 + 1.90031i 0.0870271 + 0.100435i
\(359\) −2.24658 + 9.26053i −0.118570 + 0.488752i 0.881299 + 0.472559i \(0.156670\pi\)
−0.999869 + 0.0161929i \(0.994845\pi\)
\(360\) 26.4045 10.5708i 1.39164 0.557128i
\(361\) −7.94792 1.53184i −0.418312 0.0806230i
\(362\) 34.4067 + 48.3175i 1.80838 + 2.53951i
\(363\) −12.4300 3.64977i −0.652404 0.191563i
\(364\) 6.92033 + 40.7195i 0.362724 + 2.13428i
\(365\) −4.21216 29.2962i −0.220475 1.53343i
\(366\) −3.01860 + 1.55619i −0.157785 + 0.0813436i
\(367\) 0.266976 + 0.462416i 0.0139360 + 0.0241379i 0.872909 0.487882i \(-0.162231\pi\)
−0.858973 + 0.512020i \(0.828897\pi\)
\(368\) −24.1288 + 47.9463i −1.25780 + 2.49937i
\(369\) 3.06626 5.31092i 0.159623 0.276476i
\(370\) 54.3864 + 34.9520i 2.82741 + 1.81707i
\(371\) −3.14912 + 26.7334i −0.163494 + 1.38793i
\(372\) 12.0949 + 26.4841i 0.627089 + 1.37313i
\(373\) −5.92343 + 5.64798i −0.306704 + 0.292441i −0.827762 0.561080i \(-0.810386\pi\)
0.521058 + 0.853521i \(0.325538\pi\)
\(374\) 64.9754 6.20440i 3.35980 0.320822i
\(375\) 9.04198 + 1.74270i 0.466926 + 0.0899925i
\(376\) −18.3980 14.4684i −0.948805 0.746149i
\(377\) −0.509144 + 0.149498i −0.0262223 + 0.00769955i
\(378\) 3.92013 5.81379i 0.201630 0.299029i
\(379\) 13.1204 8.43198i 0.673951 0.433122i −0.158397 0.987375i \(-0.550633\pi\)
0.832348 + 0.554254i \(0.186996\pi\)
\(380\) −2.80162 58.8133i −0.143720 3.01706i
\(381\) 0.178240 0.514989i 0.00913149 0.0263837i
\(382\) −30.9395 29.5008i −1.58300 1.50939i
\(383\) 13.8302 + 10.8762i 0.706692 + 0.555749i 0.905529 0.424284i \(-0.139474\pi\)
−0.198837 + 0.980033i \(0.563716\pi\)
\(384\) −6.00507 + 6.93022i −0.306445 + 0.353656i
\(385\) −16.1349 43.0301i −0.822309 2.19301i
\(386\) 43.9025 + 12.8909i 2.23458 + 0.656132i
\(387\) 3.75472 + 0.358533i 0.190863 + 0.0182252i
\(388\) 41.4585 32.6033i 2.10474 1.65518i
\(389\) −1.15230 + 24.1898i −0.0584241 + 1.22647i 0.759253 + 0.650795i \(0.225564\pi\)
−0.817677 + 0.575677i \(0.804739\pi\)
\(390\) 14.6133 25.3109i 0.739971 1.28167i
\(391\) −18.3913 15.6246i −0.930087 0.790169i
\(392\) −0.195564 56.0995i −0.00987747 2.83345i
\(393\) 1.54109 + 0.990397i 0.0777376 + 0.0499589i
\(394\) 24.9670 + 9.99529i 1.25782 + 0.503556i
\(395\) 32.5769 45.7478i 1.63912 2.30182i
\(396\) 5.79706 + 23.8958i 0.291313 + 1.20081i
\(397\) −0.746442 1.04823i −0.0374628 0.0526092i 0.795420 0.606059i \(-0.207250\pi\)
−0.832883 + 0.553450i \(0.813311\pi\)
\(398\) −28.9841 + 33.4494i −1.45284 + 1.67667i
\(399\) −5.24826 6.98544i −0.262742 0.349710i
\(400\) −81.5576 + 23.9475i −4.07788 + 1.19737i
\(401\) −21.4402 + 4.13226i −1.07067 + 0.206355i −0.693988 0.719986i \(-0.744148\pi\)
−0.376685 + 0.926342i \(0.622936\pi\)
\(402\) 14.0589 + 7.24789i 0.701196 + 0.361492i
\(403\) 16.0062 + 8.25177i 0.797326 + 0.411050i
\(404\) 74.1682 14.2947i 3.69000 0.711190i
\(405\) −3.40515 + 0.999842i −0.169203 + 0.0496825i
\(406\) 1.18870 0.144229i 0.0589942 0.00715794i
\(407\) −22.0305 + 25.4245i −1.09201 + 1.26025i
\(408\) −23.3921 32.8495i −1.15808 1.62629i
\(409\) −1.57335 6.48545i −0.0777973 0.320685i 0.919594 0.392870i \(-0.128518\pi\)
−0.997391 + 0.0721854i \(0.977003\pi\)
\(410\) −33.4576 + 46.9846i −1.65235 + 2.32040i
\(411\) −4.26740 1.70841i −0.210495 0.0842696i
\(412\) −27.0723 17.3983i −1.33376 0.857153i
\(413\) 17.0537 + 4.53768i 0.839158 + 0.223285i
\(414\) 6.76703 10.7591i 0.332581 0.528780i
\(415\) −4.26196 + 7.38192i −0.209211 + 0.362364i
\(416\) −2.01578 + 42.3165i −0.0988318 + 2.07474i
\(417\) 8.02639 6.31203i 0.393054 0.309101i
\(418\) 42.6426 + 4.07188i 2.08572 + 0.199162i
\(419\) −5.35256 1.57165i −0.261490 0.0767804i 0.148360 0.988933i \(-0.452601\pi\)
−0.409850 + 0.912153i \(0.634419\pi\)
\(420\) −29.9707 + 36.4278i −1.46242 + 1.77750i
\(421\) −17.2161 + 19.8685i −0.839063 + 0.968330i −0.999826 0.0186629i \(-0.994059\pi\)
0.160763 + 0.986993i \(0.448605\pi\)
\(422\) 4.37011 + 3.43670i 0.212734 + 0.167296i
\(423\) 2.11366 + 2.01537i 0.102770 + 0.0979906i
\(424\) −26.6685 + 77.0537i −1.29514 + 3.74206i
\(425\) −1.81839 38.1727i −0.0882050 1.85165i
\(426\) 9.76087 6.27293i 0.472916 0.303925i
\(427\) 1.89541 2.81101i 0.0917253 0.136034i
\(428\) −57.5921 + 16.9106i −2.78382 + 0.817403i
\(429\) 11.9547 + 9.40131i 0.577180 + 0.453899i
\(430\) −34.8348 6.71386i −1.67988 0.323771i
\(431\) 0.217516 0.0207702i 0.0104774 0.00100047i −0.0898160 0.995958i \(-0.528628\pi\)
0.100293 + 0.994958i \(0.468022\pi\)
\(432\) 8.10010 7.72343i 0.389716 0.371593i
\(433\) 1.80263 + 3.94721i 0.0866289 + 0.189691i 0.947988 0.318305i \(-0.103114\pi\)
−0.861359 + 0.507996i \(0.830386\pi\)
\(434\) −32.5734 24.2957i −1.56357 1.16623i
\(435\) −0.509833 0.327649i −0.0244446 0.0157096i
\(436\) −48.0862 + 83.2877i −2.30291 + 3.98876i
\(437\) −9.91123 12.3532i −0.474119 0.590933i
\(438\) −11.0515 19.1418i −0.528061 0.914629i
\(439\) 7.05378 3.63648i 0.336658 0.173560i −0.281605 0.959530i \(-0.590867\pi\)
0.618263 + 0.785971i \(0.287836\pi\)
\(440\) −19.8109 137.788i −0.944446 6.56876i
\(441\) −0.641097 + 6.97058i −0.0305284 + 0.331932i
\(442\) −39.7612 11.6749i −1.89125 0.555320i
\(443\) −16.1881 22.7331i −0.769121 1.08008i −0.994389 0.105783i \(-0.966265\pi\)
0.225268 0.974297i \(-0.427674\pi\)
\(444\) 33.9081 + 6.53525i 1.60921 + 0.310149i
\(445\) −29.7456 + 11.9084i −1.41008 + 0.564510i
\(446\) −6.92745 + 28.5553i −0.328024 + 1.35213i
\(447\) 1.28046 + 1.47773i 0.0605638 + 0.0698943i
\(448\) 7.67009 35.5571i 0.362378 1.67992i
\(449\) 11.8634 7.62416i 0.559869 0.359806i −0.229896 0.973215i \(-0.573839\pi\)
0.789765 + 0.613409i \(0.210202\pi\)
\(450\) 19.7643 3.80926i 0.931699 0.179570i
\(451\) −21.7227 20.7126i −1.02288 0.975316i
\(452\) 61.3533 24.5621i 2.88581 1.15531i
\(453\) −0.819620 2.36814i −0.0385091 0.111265i
\(454\) 22.2929 48.8147i 1.04626 2.29099i
\(455\) −0.643496 + 29.1696i −0.0301676 + 1.36749i
\(456\) −10.9945 24.0745i −0.514864 1.12739i
\(457\) 13.3534 + 5.34590i 0.624646 + 0.250071i 0.662322 0.749219i \(-0.269571\pi\)
−0.0376757 + 0.999290i \(0.511995\pi\)
\(458\) −0.0268074 + 0.562756i −0.00125263 + 0.0262958i
\(459\) 2.51596 + 4.35778i 0.117435 + 0.203404i
\(460\) −52.1987 + 67.7257i −2.43378 + 3.15773i
\(461\) −18.6971 −0.870813 −0.435406 0.900234i \(-0.643395\pi\)
−0.435406 + 0.900234i \(0.643395\pi\)
\(462\) −23.1293 25.3541i −1.07607 1.17958i
\(463\) −0.569484 3.96085i −0.0264662 0.184076i 0.972300 0.233736i \(-0.0750953\pi\)
−0.998766 + 0.0496602i \(0.984186\pi\)
\(464\) 1.90260 + 0.181676i 0.0883258 + 0.00843409i
\(465\) 4.84883 + 19.9871i 0.224859 + 0.926881i
\(466\) 60.8362 5.80915i 2.81818 0.269104i
\(467\) −9.27335 26.7936i −0.429120 1.23986i −0.927801 0.373074i \(-0.878304\pi\)
0.498682 0.866785i \(-0.333818\pi\)
\(468\) 2.22171 15.4523i 0.102699 0.714284i
\(469\) −15.7851 + 0.403287i −0.728890 + 0.0186220i
\(470\) −17.9883 20.7596i −0.829737 0.957567i
\(471\) −0.572175 12.0114i −0.0263645 0.553458i
\(472\) 47.5126 + 24.4944i 2.18694 + 1.12745i
\(473\) 6.03785 17.4452i 0.277621 0.802132i
\(474\) 9.88788 40.7584i 0.454166 1.87210i
\(475\) 3.56936 24.8254i 0.163773 1.13907i
\(476\) 60.2130 + 29.1201i 2.75986 + 1.33472i
\(477\) 4.22649 9.25472i 0.193518 0.423745i
\(478\) 28.0187 26.7158i 1.28155 1.22195i
\(479\) 4.43781 6.23204i 0.202769 0.284749i −0.700653 0.713503i \(-0.747108\pi\)
0.903422 + 0.428753i \(0.141047\pi\)
\(480\) −38.0325 + 29.9091i −1.73594 + 1.36516i
\(481\) 18.9842 9.78705i 0.865606 0.446251i
\(482\) 77.4275 3.52672
\(483\) −0.759587 + 12.6658i −0.0345624 + 0.576315i
\(484\) 65.0837 2.95835
\(485\) 33.1156 17.0723i 1.50370 0.775213i
\(486\) −2.08325 + 1.63829i −0.0944983 + 0.0743143i
\(487\) −18.9644 + 26.6318i −0.859360 + 1.20680i 0.117533 + 0.993069i \(0.462502\pi\)
−0.976892 + 0.213733i \(0.931438\pi\)
\(488\) 7.43251 7.08689i 0.336454 0.320808i
\(489\) 1.00901 2.20941i 0.0456288 0.0999131i
\(490\) 12.2347 64.6921i 0.552705 2.92249i
\(491\) 0.997365 6.93683i 0.0450105 0.313055i −0.954861 0.297051i \(-0.903997\pi\)
0.999872 0.0160032i \(-0.00509419\pi\)
\(492\) −7.26360 + 29.9410i −0.327468 + 1.34984i
\(493\) −0.281047 + 0.812032i −0.0126577 + 0.0365721i
\(494\) −24.1731 12.4621i −1.08760 0.560697i
\(495\) 0.826479 + 17.3499i 0.0371474 + 0.779821i
\(496\) −42.4751 49.0189i −1.90719 2.20101i
\(497\) −5.53340 + 10.1758i −0.248207 + 0.456447i
\(498\) −0.905911 + 6.30075i −0.0405948 + 0.282343i
\(499\) −8.06417 23.2999i −0.361002 1.04305i −0.968562 0.248773i \(-0.919973\pi\)
0.607560 0.794274i \(-0.292148\pi\)
\(500\) −46.0529 + 4.39752i −2.05955 + 0.196663i
\(501\) −0.110390 0.455032i −0.00493184 0.0203293i
\(502\) −4.09764 0.391277i −0.182886 0.0174635i
\(503\) 5.02147 + 34.9251i 0.223896 + 1.55723i 0.723096 + 0.690747i \(0.242718\pi\)
−0.499200 + 0.866487i \(0.666373\pi\)
\(504\) −6.42104 + 20.2081i −0.286016 + 0.900142i
\(505\) 53.3565 2.37433
\(506\) −43.3660 44.6014i −1.92786 1.98277i
\(507\) 1.67214 + 2.89622i 0.0742621 + 0.128626i
\(508\) −0.130272 + 2.73475i −0.00577990 + 0.121335i
\(509\) 16.2077 + 6.48858i 0.718394 + 0.287601i 0.701913 0.712263i \(-0.252330\pi\)
0.0164808 + 0.999864i \(0.494754\pi\)
\(510\) −19.6608 43.0511i −0.870594 1.90634i
\(511\) 18.8611 + 11.4514i 0.834367 + 0.506581i
\(512\) −11.1351 + 24.3824i −0.492105 + 1.07756i
\(513\) 1.08011 + 3.12076i 0.0476879 + 0.137785i
\(514\) 20.1323 8.05978i 0.888000 0.355502i
\(515\) −16.4523 15.6872i −0.724975 0.691263i
\(516\) −18.6069 + 3.58618i −0.819122 + 0.157873i
\(517\) 12.0248 7.72787i 0.528850 0.339872i
\(518\) −45.8826 + 14.7553i −2.01597 + 0.648310i
\(519\) −13.3028 15.3523i −0.583929 0.673890i
\(520\) −20.8362 + 85.8879i −0.913727 + 3.76644i
\(521\) 4.71507 1.88763i 0.206571 0.0826985i −0.266070 0.963954i \(-0.585725\pi\)
0.472641 + 0.881255i \(0.343301\pi\)
\(522\) −0.444403 0.0856516i −0.0194510 0.00374887i
\(523\) 19.2708 + 27.0621i 0.842653 + 1.18334i 0.981202 + 0.192985i \(0.0618169\pi\)
−0.138548 + 0.990356i \(0.544244\pi\)
\(524\) −8.83053 2.59288i −0.385763 0.113270i
\(525\) −15.4723 + 12.8205i −0.675268 + 0.559531i
\(526\) 8.87192 + 61.7056i 0.386834 + 2.69049i
\(527\) 25.9197 13.3625i 1.12908 0.582081i
\(528\) −27.3890 47.4392i −1.19195 2.06453i
\(529\) −0.645882 + 22.9909i −0.0280818 + 0.999606i
\(530\) −47.8467 + 82.8729i −2.07833 + 3.59977i
\(531\) −5.61113 3.60606i −0.243502 0.156489i
\(532\) 35.1861 + 26.2444i 1.52551 + 1.13784i
\(533\) 7.91615 + 17.3340i 0.342887 + 0.750817i
\(534\) −17.3172 + 16.5119i −0.749390 + 0.714542i
\(535\) −42.2085 + 4.03042i −1.82483 + 0.174250i
\(536\) −46.9661 9.05197i −2.02863 0.390986i
\(537\) 0.745776 + 0.586485i 0.0321826 + 0.0253087i
\(538\) 67.0907 19.6996i 2.89249 0.849311i
\(539\) 32.4151 + 11.0926i 1.39622 + 0.477791i
\(540\) 14.9991 9.63934i 0.645459 0.414811i
\(541\) −0.174186 3.65661i −0.00748883 0.157210i −0.999514 0.0311706i \(-0.990076\pi\)
0.992025 0.126039i \(-0.0402266\pi\)
\(542\) 10.6897 30.8860i 0.459163 1.32667i
\(543\) 16.1980 + 15.4448i 0.695123 + 0.662799i
\(544\) 53.9256 + 42.4076i 2.31204 + 1.81821i
\(545\) −44.4886 + 51.3426i −1.90568 + 2.19928i
\(546\) 7.64995 + 20.4016i 0.327388 + 0.873110i
\(547\) 37.1299 + 10.9023i 1.58756 + 0.466150i 0.952050 0.305941i \(-0.0989711\pi\)
0.635512 + 0.772091i \(0.280789\pi\)
\(548\) 22.9888 + 2.19517i 0.982034 + 0.0937728i
\(549\) −1.00727 + 0.792124i −0.0429892 + 0.0338070i
\(550\) 4.68748 98.4023i 0.199875 4.19589i
\(551\) −0.281972 + 0.488389i −0.0120124 + 0.0208061i
\(552\) −10.4681 + 36.9821i −0.445550 + 1.57406i
\(553\) 10.9070 + 40.4235i 0.463813 + 1.71898i
\(554\) −15.6915 10.0843i −0.666668 0.428441i
\(555\) 22.6461 + 9.06613i 0.961273 + 0.384836i
\(556\) −29.7566 + 41.7873i −1.26196 + 1.77218i
\(557\) 5.07859 + 20.9342i 0.215187 + 0.887012i 0.972302 + 0.233730i \(0.0750932\pi\)
−0.757115 + 0.653282i \(0.773392\pi\)
\(558\) 8.90913 + 12.5111i 0.377154 + 0.529638i
\(559\) −7.67521 + 8.85767i −0.324627 + 0.374639i
\(560\) 41.1996 96.6754i 1.74100 4.08528i
\(561\) 23.6304 6.93852i 0.997677 0.292945i
\(562\) −59.1573 + 11.4016i −2.49540 + 0.480949i
\(563\) 19.8793 + 10.2485i 0.837813 + 0.431923i 0.823050 0.567968i \(-0.192270\pi\)
0.0147627 + 0.999891i \(0.495301\pi\)
\(564\) −13.0413 6.72327i −0.549139 0.283101i
\(565\) 45.8403 8.83499i 1.92851 0.371691i
\(566\) −6.99573 + 2.05413i −0.294053 + 0.0863417i
\(567\) 1.03726 2.43395i 0.0435608 0.102216i
\(568\) −22.9765 + 26.5163i −0.964072 + 1.11260i
\(569\) 13.4889 + 18.9424i 0.565482 + 0.794108i 0.993995 0.109427i \(-0.0349017\pi\)
−0.428513 + 0.903536i \(0.640962\pi\)
\(570\) −7.32287 30.1853i −0.306721 1.26432i
\(571\) 13.5118 18.9746i 0.565451 0.794064i −0.428541 0.903522i \(-0.640972\pi\)
0.993991 + 0.109458i \(0.0349116\pi\)
\(572\) −70.9337 28.3976i −2.96589 1.18736i
\(573\) −13.5697 8.72073i −0.566884 0.364314i
\(574\) −11.2019 41.5163i −0.467557 1.73286i
\(575\) −27.2926 + 24.1194i −1.13818 + 1.00585i
\(576\) −6.87422 + 11.9065i −0.286426 + 0.496104i
\(577\) −1.45230 + 30.4875i −0.0604601 + 1.26921i 0.741139 + 0.671351i \(0.234286\pi\)
−0.801599 + 0.597862i \(0.796017\pi\)
\(578\) −17.3333 + 13.6310i −0.720969 + 0.566976i
\(579\) 17.1865 + 1.64111i 0.714245 + 0.0682021i
\(580\) 2.92137 + 0.857792i 0.121303 + 0.0356179i
\(581\) −2.23111 5.95014i −0.0925620 0.246853i
\(582\) 18.2203 21.0274i 0.755258 0.871614i
\(583\) −39.1422 30.7818i −1.62110 1.27485i
\(584\) 48.3730 + 46.1236i 2.00169 + 1.90861i
\(585\) 3.60682 10.4212i 0.149124 0.430865i
\(586\) 0.735586 + 15.4419i 0.0303868 + 0.637897i
\(587\) −19.8140 + 12.7337i −0.817810 + 0.525574i −0.881383 0.472403i \(-0.843387\pi\)
0.0635732 + 0.997977i \(0.479750\pi\)
\(588\) −6.77585 34.5086i −0.279431 1.42311i
\(589\) 18.3631 5.39188i 0.756637 0.222169i
\(590\) 49.3128 + 38.7800i 2.03018 + 1.59655i
\(591\) 9.96406 + 1.92042i 0.409867 + 0.0789953i
\(592\) −76.5807 + 7.31257i −3.14745 + 0.300545i
\(593\) 17.4142 16.6044i 0.715116 0.681862i −0.242421 0.970171i \(-0.577942\pi\)
0.957537 + 0.288309i \(0.0930931\pi\)
\(594\) 5.38850 + 11.7992i 0.221093 + 0.484126i
\(595\) 37.8727 + 28.2483i 1.55263 + 1.15807i
\(596\) −8.26398 5.31094i −0.338506 0.217544i
\(597\) −8.35007 + 14.4627i −0.341746 + 0.591921i
\(598\) 15.0360 + 36.5213i 0.614869 + 1.49347i
\(599\) 12.7747 + 22.1265i 0.521961 + 0.904063i 0.999674 + 0.0255470i \(0.00813276\pi\)
−0.477712 + 0.878516i \(0.658534\pi\)
\(600\) −54.0999 + 27.8904i −2.20862 + 1.13862i
\(601\) −0.297700 2.07055i −0.0121434 0.0844594i 0.982848 0.184415i \(-0.0590390\pi\)
−0.994992 + 0.0999556i \(0.968130\pi\)
\(602\) 20.3650 16.8745i 0.830015 0.687755i
\(603\) 5.72641 + 1.68143i 0.233198 + 0.0684730i
\(604\) 7.30280 + 10.2553i 0.297147 + 0.417284i
\(605\) 45.1442 + 8.70083i 1.83537 + 0.353739i
\(606\) 36.9917 14.8092i 1.50268 0.601584i
\(607\) −0.226252 + 0.932625i −0.00918330 + 0.0378541i −0.976219 0.216787i \(-0.930442\pi\)
0.967036 + 0.254641i \(0.0819574\pi\)
\(608\) 29.4840 + 34.0264i 1.19574 + 1.37995i
\(609\) 0.430116 0.138320i 0.0174292 0.00560500i
\(610\) 10.1392 6.51608i 0.410525 0.263828i
\(611\) −8.91104 + 1.71746i −0.360502 + 0.0694811i
\(612\) −18.2961 17.4453i −0.739575 0.705183i
\(613\) −18.2402 + 7.30228i −0.736715 + 0.294936i −0.709512 0.704694i \(-0.751084\pi\)
−0.0272035 + 0.999630i \(0.508660\pi\)
\(614\) −17.6559 51.0134i −0.712534 2.05873i
\(615\) −9.04099 + 19.7970i −0.364568 + 0.798292i
\(616\) 88.7087 + 53.8589i 3.57417 + 2.17004i
\(617\) 2.38721 + 5.22727i 0.0961056 + 0.210442i 0.951579 0.307406i \(-0.0994608\pi\)
−0.855473 + 0.517847i \(0.826734\pi\)
\(618\) −15.7603 6.30947i −0.633972 0.253804i
\(619\) 0.00675995 0.141909i 0.000271705 0.00570380i −0.998727 0.0504336i \(-0.983940\pi\)
0.998999 + 0.0447298i \(0.0142427\pi\)
\(620\) −51.6634 89.4836i −2.07485 3.59375i
\(621\) 1.73890 4.46948i 0.0697798 0.179354i
\(622\) −6.63002 −0.265840
\(623\) 7.23354 22.7652i 0.289806 0.912069i
\(624\) 4.94942 + 34.4239i 0.198135 + 1.37806i
\(625\) 5.26993 + 0.503218i 0.210797 + 0.0201287i
\(626\) −6.05730 24.9685i −0.242098 0.997943i
\(627\) 16.0899 1.53640i 0.642569 0.0613579i
\(628\) 19.7592 + 57.0905i 0.788479 + 2.27816i
\(629\) 4.92225 34.2350i 0.196263 1.36504i
\(630\) −11.8879 + 21.8616i −0.473626 + 0.870987i
\(631\) −16.8505 19.4465i −0.670806 0.774152i 0.313696 0.949524i \(-0.398433\pi\)
−0.984502 + 0.175372i \(0.943887\pi\)
\(632\) 6.03462 + 126.682i 0.240044 + 5.03915i
\(633\) 1.86454 + 0.961237i 0.0741088 + 0.0382058i
\(634\) 10.9984 31.7779i 0.436804 1.26206i
\(635\) −0.455962 + 1.87950i −0.0180943 + 0.0745857i
\(636\) −7.27432 + 50.5940i −0.288445 + 2.00618i
\(637\) −16.4883 14.1869i −0.653290 0.562104i
\(638\) −0.920184 + 2.01492i −0.0364304 + 0.0797715i
\(639\) 3.16848 3.02114i 0.125343 0.119514i
\(640\) 18.8770 26.5091i 0.746181 1.04786i
\(641\) 16.5090 12.9828i 0.652066 0.512790i −0.236446 0.971645i \(-0.575982\pi\)
0.888511 + 0.458854i \(0.151740\pi\)
\(642\) −28.1442 + 14.5093i −1.11076 + 0.572638i
\(643\) −30.2467 −1.19282 −0.596408 0.802682i \(-0.703406\pi\)
−0.596408 + 0.802682i \(0.703406\pi\)
\(644\) −14.2658 62.1299i −0.562150 2.44826i
\(645\) −13.3858 −0.527064
\(646\) −39.1449 + 20.1806i −1.54013 + 0.793994i
\(647\) 6.81606 5.36021i 0.267967 0.210731i −0.475130 0.879916i \(-0.657599\pi\)
0.743096 + 0.669184i \(0.233356\pi\)
\(648\) 4.64873 6.52822i 0.182619 0.256453i
\(649\) −23.6264 + 22.5278i −0.927419 + 0.884292i
\(650\) −25.9822 + 56.8932i −1.01911 + 2.23153i
\(651\) −13.8034 6.67556i −0.540998 0.261636i
\(652\) −1.73662 + 12.0785i −0.0680115 + 0.473030i
\(653\) 10.0355 41.3668i 0.392718 1.61881i −0.341491 0.939885i \(-0.610932\pi\)
0.734210 0.678923i \(-0.237553\pi\)
\(654\) −16.5934 + 47.9434i −0.648852 + 1.87473i
\(655\) −5.77851 2.97903i −0.225785 0.116400i
\(656\) −3.26582 68.5580i −0.127509 2.67674i
\(657\) −5.46147 6.30288i −0.213072 0.245899i
\(658\) 20.4717 0.523021i 0.798069 0.0203895i
\(659\) 7.09987 49.3807i 0.276572 1.92360i −0.0955698 0.995423i \(-0.530467\pi\)
0.372142 0.928176i \(-0.378624\pi\)
\(660\) −28.5412 82.4643i −1.11096 3.20992i
\(661\) −27.1482 + 2.59234i −1.05594 + 0.100830i −0.608556 0.793511i \(-0.708251\pi\)
−0.447386 + 0.894341i \(0.647645\pi\)
\(662\) −1.45948 6.01604i −0.0567241 0.233820i
\(663\) −15.5652 1.48630i −0.604504 0.0577231i
\(664\) −2.73942 19.0531i −0.106310 0.739403i
\(665\) 20.8977 + 22.9079i 0.810379 + 0.888331i
\(666\) 18.2167 0.705882
\(667\) 0.771281 0.275399i 0.0298641 0.0106635i
\(668\) 1.17618 + 2.03720i 0.0455078 + 0.0788218i
\(669\) −0.527542 + 11.0745i −0.0203959 + 0.428163i
\(670\) −52.1129 20.8629i −2.01330 0.806003i
\(671\) 2.60538 + 5.70498i 0.100580 + 0.220238i
\(672\) 0.795551 36.0622i 0.0306891 1.39113i
\(673\) 14.3851 31.4989i 0.554504 1.21420i −0.400142 0.916453i \(-0.631039\pi\)
0.954646 0.297742i \(-0.0962335\pi\)
\(674\) −27.5527 79.6082i −1.06129 3.06639i
\(675\) 7.05069 2.82267i 0.271381 0.108645i
\(676\) −12.1598 11.5943i −0.467683 0.445935i
\(677\) −22.8824 + 4.41022i −0.879442 + 0.169499i −0.608936 0.793220i \(-0.708403\pi\)
−0.270506 + 0.962718i \(0.587191\pi\)
\(678\) 29.3285 18.8483i 1.12636 0.723865i
\(679\) −5.85685 + 27.1513i −0.224765 + 1.04197i
\(680\) 93.7218 + 108.161i 3.59407 + 4.14778i
\(681\) 4.77378 19.6778i 0.182932 0.754055i
\(682\) 69.7879 27.9389i 2.67232 1.06983i
\(683\) −40.1218 7.73285i −1.53522 0.295889i −0.649591 0.760284i \(-0.725060\pi\)
−0.885628 + 0.464395i \(0.846272\pi\)
\(684\) −9.62374 13.5147i −0.367973 0.516746i
\(685\) 15.6523 + 4.59594i 0.598045 + 0.175602i
\(686\) 31.4486 + 37.6855i 1.20071 + 1.43884i
\(687\) 0.0302532 + 0.210416i 0.00115423 + 0.00802787i
\(688\) 37.5216 19.3437i 1.43050 0.737473i
\(689\) 15.8074 + 27.3792i 0.602214 + 1.04306i
\(690\) −20.2773 + 40.2929i −0.771942 + 1.53392i
\(691\) −9.67345 + 16.7549i −0.367995 + 0.637386i −0.989252 0.146221i \(-0.953289\pi\)
0.621257 + 0.783607i \(0.286622\pi\)
\(692\) 85.8551 + 55.1757i 3.26372 + 2.09747i
\(693\) −10.3799 7.74211i −0.394300 0.294099i
\(694\) −22.5066 49.2825i −0.854337 1.87074i
\(695\) −26.2266 + 25.0070i −0.994831 + 0.948569i
\(696\) 1.36238 0.130092i 0.0516410 0.00493111i
\(697\) 30.3008 + 5.83999i 1.14772 + 0.221206i
\(698\) 57.8664 + 45.5067i 2.19028 + 1.72245i
\(699\) 22.1251 6.49650i 0.836847 0.245720i
\(700\) 56.4372 83.6999i 2.13313 3.16356i
\(701\) −14.0666 + 9.04005i −0.531288 + 0.341438i −0.778623 0.627492i \(-0.784082\pi\)
0.247335 + 0.968930i \(0.420445\pi\)
\(702\) −0.391855 8.22604i −0.0147896 0.310472i
\(703\) 7.42413 21.4506i 0.280007 0.809026i
\(704\) 48.6999 + 46.4353i 1.83545 + 1.75009i
\(705\) −8.14708 6.40693i −0.306837 0.241299i
\(706\) 34.2221 39.4944i 1.28796 1.48639i
\(707\) −25.2727 + 30.7176i −0.950478 + 1.15526i
\(708\) 32.1521 + 9.44072i 1.20835 + 0.354804i
\(709\) 10.9982 + 1.05020i 0.413045 + 0.0394411i 0.299511 0.954093i \(-0.403177\pi\)
0.113535 + 0.993534i \(0.463783\pi\)
\(710\) −32.3674 + 25.4540i −1.21473 + 0.955272i
\(711\) 0.752986 15.8071i 0.0282392 0.592813i
\(712\) 36.1778 62.6618i 1.35582 2.34835i
\(713\) −25.3930 11.2985i −0.950976 0.423132i
\(714\) 34.0973 + 9.07267i 1.27606 + 0.339536i
\(715\) −45.4056 29.1804i −1.69807 1.09128i
\(716\) −4.42508 1.77153i −0.165373 0.0662054i
\(717\) 8.47325 11.8990i 0.316439 0.444377i
\(718\) −5.95405 24.5429i −0.222203 0.915934i
\(719\) −22.4300 31.4985i −0.836496 1.17469i −0.982657 0.185434i \(-0.940631\pi\)
0.146160 0.989261i \(-0.453308\pi\)
\(720\) −26.0108 + 30.0181i −0.969366 + 1.11871i
\(721\) 16.8240 2.04131i 0.626559 0.0760222i
\(722\) 20.5829 6.04367i 0.766015 0.224922i
\(723\) 28.6870 5.52896i 1.06688 0.205624i
\(724\) −99.9421 51.5237i −3.71432 1.91486i
\(725\) 1.15276 + 0.594290i 0.0428125 + 0.0220714i
\(726\) 33.7131 6.49766i 1.25121 0.241151i
\(727\) −18.1364 + 5.32531i −0.672640 + 0.197505i −0.600178 0.799866i \(-0.704904\pi\)
−0.0724618 + 0.997371i \(0.523086\pi\)
\(728\) −39.5770 52.6770i −1.46682 1.95234i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) 45.5005 + 63.8965i 1.68405 + 2.36491i
\(731\) 4.47457 + 18.4444i 0.165498 + 0.682192i
\(732\) 3.73429 5.24408i 0.138023 0.193827i
\(733\) −13.5501 5.42464i −0.500485 0.200364i 0.107663 0.994187i \(-0.465663\pi\)
−0.608148 + 0.793824i \(0.708087\pi\)
\(734\) −1.19047 0.765070i −0.0439412 0.0282393i
\(735\) −0.0866003 24.8422i −0.00319430 0.916317i
\(736\) −0.637956 65.3811i −0.0235154 2.40998i
\(737\) 14.6052 25.2969i 0.537988 0.931823i
\(738\) −0.773342 + 16.2345i −0.0284671 + 0.597598i
\(739\) 26.4321 20.7865i 0.972322 0.764642i 0.000412766 1.00000i \(-0.499869\pi\)
0.971909 + 0.235358i \(0.0756262\pi\)
\(740\) −121.996 11.6492i −4.48467 0.428234i
\(741\) −9.84608 2.89107i −0.361705 0.106206i
\(742\) −25.0475 66.7990i −0.919521 2.45227i
\(743\) 7.32465 8.45310i 0.268716 0.310114i −0.605314 0.795987i \(-0.706953\pi\)
0.874030 + 0.485872i \(0.161498\pi\)
\(744\) −36.5081 28.7103i −1.33845 1.05257i
\(745\) −5.02217 4.78863i −0.183998 0.175442i
\(746\) 7.09451 20.4983i 0.259749 0.750494i
\(747\) 0.114284 + 2.39912i 0.00418145 + 0.0877794i
\(748\) −104.088 + 66.8934i −3.80584 + 2.44586i
\(749\) 17.6720 26.2087i 0.645723 0.957646i
\(750\) −23.4162 + 6.87560i −0.855037 + 0.251062i
\(751\) 21.5309 + 16.9321i 0.785673 + 0.617860i 0.928264 0.371921i \(-0.121301\pi\)
−0.142591 + 0.989782i \(0.545543\pi\)
\(752\) 32.0957 + 6.18594i 1.17041 + 0.225578i
\(753\) −1.54612 + 0.147637i −0.0563437 + 0.00538017i
\(754\) 1.01781 0.970484i 0.0370666 0.0353429i
\(755\) 3.69446 + 8.08973i 0.134455 + 0.294416i
\(756\) −1.55502 + 13.2008i −0.0565555 + 0.480109i
\(757\) 8.16512 + 5.24740i 0.296766 + 0.190720i 0.680548 0.732704i \(-0.261742\pi\)
−0.383781 + 0.923424i \(0.625378\pi\)
\(758\) −20.6672 + 35.7966i −0.750666 + 1.30019i
\(759\) −19.2521 13.4282i −0.698806 0.487412i
\(760\) 46.9631 + 81.3424i 1.70353 + 2.95060i
\(761\) 1.87045 0.964284i 0.0678037 0.0349553i −0.423991 0.905666i \(-0.639371\pi\)
0.491795 + 0.870711i \(0.336341\pi\)
\(762\) 0.205545 + 1.42960i 0.00744610 + 0.0517888i
\(763\) −8.48586 49.9312i −0.307209 1.80763i
\(764\) 77.7554 + 22.8310i 2.81309 + 0.825998i
\(765\) −10.3586 14.5465i −0.374514 0.525932i
\(766\) −45.7876 8.82484i −1.65437 0.318855i
\(767\) 19.2414 7.70309i 0.694766 0.278142i
\(768\) −0.752990 + 3.10387i −0.0271712 + 0.112001i
\(769\) −2.58005 2.97753i −0.0930388 0.107373i 0.707321 0.706893i \(-0.249904\pi\)
−0.800360 + 0.599520i \(0.795358\pi\)
\(770\) 90.2650 + 81.7694i 3.25292 + 2.94676i
\(771\) 6.88352