Properties

Label 731.2.z.a.67.5
Level 731
Weight 2
Character 731.67
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 67.5
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.53756 + 1.92804i) q^{2} +(-0.193458 - 1.28351i) q^{3} +(-0.908197 - 3.97907i) q^{4} +(0.441633 + 0.647756i) q^{5} +(2.77211 + 1.60048i) q^{6} +(4.06857 - 2.34899i) q^{7} +(4.62452 + 2.22705i) q^{8} +(1.25675 - 0.387655i) q^{9} +O(q^{10})\) \(q+(-1.53756 + 1.92804i) q^{2} +(-0.193458 - 1.28351i) q^{3} +(-0.908197 - 3.97907i) q^{4} +(0.441633 + 0.647756i) q^{5} +(2.77211 + 1.60048i) q^{6} +(4.06857 - 2.34899i) q^{7} +(4.62452 + 2.22705i) q^{8} +(1.25675 - 0.387655i) q^{9} +(-1.92793 - 0.144478i) q^{10} +(1.00441 + 0.229251i) q^{11} +(-4.93148 + 1.93546i) q^{12} +(-0.0853578 - 1.13902i) q^{13} +(-1.72672 + 11.4561i) q^{14} +(0.745964 - 0.692154i) q^{15} +(-4.04988 + 1.95032i) q^{16} +(-2.65712 - 3.15273i) q^{17} +(-1.18491 + 3.01909i) q^{18} +(-2.48008 - 0.765003i) q^{19} +(2.17638 - 2.34558i) q^{20} +(-3.80205 - 4.76762i) q^{21} +(-1.98635 + 1.58406i) q^{22} +(-0.877607 + 0.945835i) q^{23} +(1.96379 - 6.36647i) q^{24} +(1.60216 - 4.08223i) q^{25} +(2.32731 + 1.58674i) q^{26} +(-2.43024 - 5.04645i) q^{27} +(-13.0419 - 14.0558i) q^{28} +(-0.280085 + 1.85824i) q^{29} +(0.187534 + 2.50247i) q^{30} +(-7.11867 + 2.79387i) q^{31} +(0.182307 - 0.798741i) q^{32} +(0.0999339 - 1.33353i) q^{33} +(10.1640 - 0.275525i) q^{34} +(3.31839 + 1.59805i) q^{35} +(-2.68388 - 4.64861i) q^{36} +(0.902913 + 0.521297i) q^{37} +(5.28822 - 3.60545i) q^{38} +(-1.44543 + 0.329910i) q^{39} +(0.599753 + 3.97910i) q^{40} +(0.962317 + 0.767422i) q^{41} +15.0380 q^{42} +(3.97763 - 5.21330i) q^{43} -4.20484i q^{44} +(0.806125 + 0.642864i) q^{45} +(-0.474233 - 3.14633i) q^{46} +(0.205362 + 0.899749i) q^{47} +(3.28673 + 4.82075i) q^{48} +(7.53552 - 13.0519i) q^{49} +(5.40727 + 9.36567i) q^{50} +(-3.53252 + 4.02036i) q^{51} +(-4.45472 + 1.37410i) q^{52} +(-0.461837 + 6.16278i) q^{53} +(13.4664 + 3.07361i) q^{54} +(0.295083 + 0.751859i) q^{55} +(24.0465 - 1.80204i) q^{56} +(-0.502098 + 3.33120i) q^{57} +(-3.15211 - 3.39717i) q^{58} +(9.03450 - 4.35078i) q^{59} +(-3.43161 - 2.33963i) q^{60} +(7.49480 + 2.94149i) q^{61} +(5.55868 - 18.0208i) q^{62} +(4.20256 - 4.52929i) q^{63} +(-4.34551 - 5.44910i) q^{64} +(0.700110 - 0.558319i) q^{65} +(2.41743 + 2.24305i) q^{66} +(-8.48413 - 2.61701i) q^{67} +(-10.1317 + 13.4362i) q^{68} +(1.38377 + 0.943438i) q^{69} +(-8.18331 + 3.94087i) q^{70} +(-5.06503 - 5.45881i) q^{71} +(6.67518 + 1.00612i) q^{72} +(2.25263 - 0.168811i) q^{73} +(-2.39336 + 0.939324i) q^{74} +(-5.54953 - 1.26664i) q^{75} +(-0.791601 + 10.5632i) q^{76} +(4.62504 - 1.42663i) q^{77} +(1.58635 - 3.29410i) q^{78} +(-7.44498 + 4.29836i) q^{79} +(-3.05189 - 1.76201i) q^{80} +(-2.74707 + 1.87292i) q^{81} +(-2.95923 + 0.675426i) q^{82} +(9.68657 - 1.46002i) q^{83} +(-15.5177 + 19.4586i) q^{84} +(0.868728 - 3.11351i) q^{85} +(3.93559 + 15.6847i) q^{86} +2.43926 q^{87} +(4.13438 + 3.29706i) q^{88} +(-5.31332 + 0.800854i) q^{89} +(-2.47893 + 0.565799i) q^{90} +(-3.02283 - 4.43368i) q^{91} +(4.56058 + 2.63305i) q^{92} +(4.96313 + 8.59639i) q^{93} +(-2.05050 - 0.987470i) q^{94} +(-0.599749 - 1.94434i) q^{95} +(-1.06046 - 0.0794706i) q^{96} +(11.2644 + 2.57104i) q^{97} +(13.5782 + 34.5968i) q^{98} +(1.35116 - 0.101256i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53756 + 1.92804i −1.08722 + 1.36333i −0.160730 + 0.986998i \(0.551385\pi\)
−0.926486 + 0.376328i \(0.877186\pi\)
\(3\) −0.193458 1.28351i −0.111693 0.741035i −0.972636 0.232334i \(-0.925364\pi\)
0.860943 0.508701i \(-0.169874\pi\)
\(4\) −0.908197 3.97907i −0.454098 1.98954i
\(5\) 0.441633 + 0.647756i 0.197504 + 0.289685i 0.912196 0.409754i \(-0.134385\pi\)
−0.714692 + 0.699439i \(0.753433\pi\)
\(6\) 2.77211 + 1.60048i 1.13171 + 0.653392i
\(7\) 4.06857 2.34899i 1.53778 0.887835i 0.538807 0.842429i \(-0.318875\pi\)
0.998969 0.0454064i \(-0.0144583\pi\)
\(8\) 4.62452 + 2.22705i 1.63502 + 0.787382i
\(9\) 1.25675 0.387655i 0.418915 0.129218i
\(10\) −1.92793 0.144478i −0.609665 0.0456881i
\(11\) 1.00441 + 0.229251i 0.302842 + 0.0691217i 0.371242 0.928536i \(-0.378932\pi\)
−0.0683996 + 0.997658i \(0.521789\pi\)
\(12\) −4.93148 + 1.93546i −1.42360 + 0.558720i
\(13\) −0.0853578 1.13902i −0.0236740 0.315907i −0.996452 0.0841670i \(-0.973177\pi\)
0.972778 0.231740i \(-0.0744420\pi\)
\(14\) −1.72672 + 11.4561i −0.461486 + 3.06176i
\(15\) 0.745964 0.692154i 0.192607 0.178713i
\(16\) −4.04988 + 1.95032i −1.01247 + 0.487579i
\(17\) −2.65712 3.15273i −0.644447 0.764649i
\(18\) −1.18491 + 3.01909i −0.279285 + 0.711607i
\(19\) −2.48008 0.765003i −0.568969 0.175504i −0.00309488 0.999995i \(-0.500985\pi\)
−0.565874 + 0.824491i \(0.691461\pi\)
\(20\) 2.17638 2.34558i 0.486653 0.524487i
\(21\) −3.80205 4.76762i −0.829676 1.04038i
\(22\) −1.98635 + 1.58406i −0.423490 + 0.337722i
\(23\) −0.877607 + 0.945835i −0.182994 + 0.197220i −0.817886 0.575380i \(-0.804854\pi\)
0.634892 + 0.772601i \(0.281044\pi\)
\(24\) 1.96379 6.36647i 0.400858 1.29955i
\(25\) 1.60216 4.08223i 0.320431 0.816446i
\(26\) 2.32731 + 1.58674i 0.456424 + 0.311184i
\(27\) −2.43024 5.04645i −0.467700 0.971189i
\(28\) −13.0419 14.0558i −2.46468 2.65629i
\(29\) −0.280085 + 1.85824i −0.0520105 + 0.345067i 0.947657 + 0.319290i \(0.103444\pi\)
−0.999668 + 0.0257776i \(0.991794\pi\)
\(30\) 0.187534 + 2.50247i 0.0342389 + 0.456886i
\(31\) −7.11867 + 2.79387i −1.27855 + 0.501794i −0.904840 0.425751i \(-0.860010\pi\)
−0.373711 + 0.927545i \(0.621915\pi\)
\(32\) 0.182307 0.798741i 0.0322277 0.141199i
\(33\) 0.0999339 1.33353i 0.0173963 0.232137i
\(34\) 10.1640 0.275525i 1.74312 0.0472521i
\(35\) 3.31839 + 1.59805i 0.560910 + 0.270120i
\(36\) −2.68388 4.64861i −0.447313 0.774769i
\(37\) 0.902913 + 0.521297i 0.148438 + 0.0857007i 0.572379 0.819989i \(-0.306020\pi\)
−0.423941 + 0.905690i \(0.639354\pi\)
\(38\) 5.28822 3.60545i 0.857862 0.584880i
\(39\) −1.44543 + 0.329910i −0.231454 + 0.0528279i
\(40\) 0.599753 + 3.97910i 0.0948293 + 0.629151i
\(41\) 0.962317 + 0.767422i 0.150289 + 0.119851i 0.695748 0.718286i \(-0.255073\pi\)
−0.545459 + 0.838138i \(0.683645\pi\)
\(42\) 15.0380 2.32042
\(43\) 3.97763 5.21330i 0.606583 0.795021i
\(44\) 4.20484i 0.633903i
\(45\) 0.806125 + 0.642864i 0.120170 + 0.0958324i
\(46\) −0.474233 3.14633i −0.0699219 0.463901i
\(47\) 0.205362 + 0.899749i 0.0299551 + 0.131242i 0.987695 0.156395i \(-0.0499874\pi\)
−0.957739 + 0.287637i \(0.907130\pi\)
\(48\) 3.28673 + 4.82075i 0.474399 + 0.695816i
\(49\) 7.53552 13.0519i 1.07650 1.86456i
\(50\) 5.40727 + 9.36567i 0.764704 + 1.32451i
\(51\) −3.53252 + 4.02036i −0.494652 + 0.562964i
\(52\) −4.45472 + 1.37410i −0.617758 + 0.190553i
\(53\) −0.461837 + 6.16278i −0.0634381 + 0.846523i 0.871201 + 0.490926i \(0.163341\pi\)
−0.934639 + 0.355597i \(0.884278\pi\)
\(54\) 13.4664 + 3.07361i 1.83254 + 0.418265i
\(55\) 0.295083 + 0.751859i 0.0397890 + 0.101381i
\(56\) 24.0465 1.80204i 3.21335 0.240808i
\(57\) −0.502098 + 3.33120i −0.0665045 + 0.441229i
\(58\) −3.15211 3.39717i −0.413893 0.446070i
\(59\) 9.03450 4.35078i 1.17619 0.566424i 0.259392 0.965772i \(-0.416478\pi\)
0.916799 + 0.399348i \(0.130764\pi\)
\(60\) −3.43161 2.33963i −0.443019 0.302045i
\(61\) 7.49480 + 2.94149i 0.959611 + 0.376620i 0.792877 0.609382i \(-0.208582\pi\)
0.166735 + 0.986002i \(0.446678\pi\)
\(62\) 5.55868 18.0208i 0.705953 2.28864i
\(63\) 4.20256 4.52929i 0.529473 0.570636i
\(64\) −4.34551 5.44910i −0.543189 0.681137i
\(65\) 0.700110 0.558319i 0.0868380 0.0692510i
\(66\) 2.41743 + 2.24305i 0.297565 + 0.276100i
\(67\) −8.48413 2.61701i −1.03650 0.319718i −0.270610 0.962689i \(-0.587225\pi\)
−0.765891 + 0.642971i \(0.777702\pi\)
\(68\) −10.1317 + 13.4362i −1.22865 + 1.62938i
\(69\) 1.38377 + 0.943438i 0.166586 + 0.113577i
\(70\) −8.18331 + 3.94087i −0.978092 + 0.471024i
\(71\) −5.06503 5.45881i −0.601109 0.647841i 0.357048 0.934086i \(-0.383783\pi\)
−0.958156 + 0.286245i \(0.907593\pi\)
\(72\) 6.67518 + 1.00612i 0.786677 + 0.118573i
\(73\) 2.25263 0.168811i 0.263651 0.0197579i 0.0577511 0.998331i \(-0.481607\pi\)
0.205900 + 0.978573i \(0.433988\pi\)
\(74\) −2.39336 + 0.939324i −0.278222 + 0.109194i
\(75\) −5.54953 1.26664i −0.640805 0.146260i
\(76\) −0.791601 + 10.5632i −0.0908029 + 1.21168i
\(77\) 4.62504 1.42663i 0.527072 0.162580i
\(78\) 1.58635 3.29410i 0.179619 0.372983i
\(79\) −7.44498 + 4.29836i −0.837625 + 0.483603i −0.856456 0.516219i \(-0.827339\pi\)
0.0188309 + 0.999823i \(0.494006\pi\)
\(80\) −3.05189 1.76201i −0.341211 0.196998i
\(81\) −2.74707 + 1.87292i −0.305230 + 0.208102i
\(82\) −2.95923 + 0.675426i −0.326793 + 0.0745883i
\(83\) 9.68657 1.46002i 1.06324 0.160258i 0.405950 0.913895i \(-0.366941\pi\)
0.657290 + 0.753638i \(0.271703\pi\)
\(84\) −15.5177 + 19.4586i −1.69312 + 2.12310i
\(85\) 0.868728 3.11351i 0.0942267 0.337708i
\(86\) 3.93559 + 15.6847i 0.424386 + 1.69133i
\(87\) 2.43926 0.261516
\(88\) 4.13438 + 3.29706i 0.440726 + 0.351468i
\(89\) −5.31332 + 0.800854i −0.563211 + 0.0848904i −0.424476 0.905439i \(-0.639542\pi\)
−0.138735 + 0.990330i \(0.544304\pi\)
\(90\) −2.47893 + 0.565799i −0.261302 + 0.0596404i
\(91\) −3.02283 4.43368i −0.316879 0.464776i
\(92\) 4.56058 + 2.63305i 0.475474 + 0.274515i
\(93\) 4.96313 + 8.59639i 0.514653 + 0.891404i
\(94\) −2.05050 0.987470i −0.211493 0.101850i
\(95\) −0.599749 1.94434i −0.0615329 0.199485i
\(96\) −1.06046 0.0794706i −0.108233 0.00811093i
\(97\) 11.2644 + 2.57104i 1.14373 + 0.261049i 0.752085 0.659066i \(-0.229048\pi\)
0.391647 + 0.920116i \(0.371906\pi\)
\(98\) 13.5782 + 34.5968i 1.37161 + 3.49480i
\(99\) 1.35116 0.101256i 0.135797 0.0101766i
\(100\) −17.6985 2.66763i −1.76985 0.266763i
\(101\) −3.39446 + 3.14960i −0.337761 + 0.313397i −0.830757 0.556635i \(-0.812092\pi\)
0.492996 + 0.870032i \(0.335902\pi\)
\(102\) −2.31996 12.9924i −0.229710 1.28644i
\(103\) 1.90092 + 1.29603i 0.187304 + 0.127701i 0.653341 0.757063i \(-0.273367\pi\)
−0.466038 + 0.884765i \(0.654319\pi\)
\(104\) 2.14192 5.45752i 0.210032 0.535154i
\(105\) 1.40915 4.56834i 0.137519 0.445824i
\(106\) −11.1720 10.3661i −1.08512 1.00684i
\(107\) 6.20569 4.94887i 0.599927 0.478426i −0.275811 0.961212i \(-0.588947\pi\)
0.875738 + 0.482786i \(0.160375\pi\)
\(108\) −17.8730 + 14.2533i −1.71983 + 1.37152i
\(109\) −1.16928 + 1.26019i −0.111997 + 0.120704i −0.786562 0.617512i \(-0.788141\pi\)
0.674565 + 0.738216i \(0.264331\pi\)
\(110\) −1.90332 0.587096i −0.181474 0.0559774i
\(111\) 0.494414 1.25975i 0.0469277 0.119570i
\(112\) −11.8959 + 17.4481i −1.12406 + 1.64869i
\(113\) 7.49921 + 15.5723i 0.705466 + 1.46492i 0.877376 + 0.479803i \(0.159292\pi\)
−0.171910 + 0.985113i \(0.554994\pi\)
\(114\) −5.65067 6.08998i −0.529234 0.570379i
\(115\) −1.00025 0.150763i −0.0932738 0.0140588i
\(116\) 7.64845 0.573172i 0.710141 0.0532177i
\(117\) −0.548819 1.39837i −0.0507384 0.129279i
\(118\) −5.50258 + 24.1084i −0.506554 + 2.21936i
\(119\) −18.2164 6.58555i −1.66990 0.603696i
\(120\) 4.99119 1.53958i 0.455631 0.140544i
\(121\) −8.95437 4.31220i −0.814033 0.392018i
\(122\) −17.1950 + 9.92753i −1.55676 + 0.898796i
\(123\) 0.798826 1.38361i 0.0720278 0.124756i
\(124\) 17.5822 + 25.7883i 1.57893 + 2.31586i
\(125\) 7.17348 1.63730i 0.641616 0.146445i
\(126\) 2.27094 + 15.0667i 0.202312 + 1.34225i
\(127\) 5.95284 7.46462i 0.528229 0.662378i −0.444105 0.895975i \(-0.646478\pi\)
0.972334 + 0.233597i \(0.0750496\pi\)
\(128\) 18.8261 1.66401
\(129\) −7.46083 4.09677i −0.656889 0.360701i
\(130\) 2.20828i 0.193679i
\(131\) 3.40753 + 2.71742i 0.297718 + 0.237422i 0.760943 0.648819i \(-0.224737\pi\)
−0.463226 + 0.886240i \(0.653308\pi\)
\(132\) −5.39695 + 0.813459i −0.469744 + 0.0708026i
\(133\) −11.8874 + 2.71322i −1.03077 + 0.235266i
\(134\) 18.0905 12.3339i 1.56278 1.06549i
\(135\) 2.19559 3.80288i 0.188966 0.327300i
\(136\) −5.26663 20.4974i −0.451610 1.75764i
\(137\) −12.3069 5.92669i −1.05145 0.506351i −0.173365 0.984858i \(-0.555464\pi\)
−0.878084 + 0.478506i \(0.841178\pi\)
\(138\) −3.94661 + 1.21737i −0.335957 + 0.103629i
\(139\) 5.83920 + 0.437587i 0.495274 + 0.0371157i 0.320026 0.947409i \(-0.396308\pi\)
0.175248 + 0.984524i \(0.443927\pi\)
\(140\) 3.34501 14.6554i 0.282705 1.23861i
\(141\) 1.11511 0.437647i 0.0939090 0.0368566i
\(142\) 18.3125 1.37234i 1.53675 0.115164i
\(143\) 0.175387 1.16362i 0.0146666 0.0973064i
\(144\) −4.33362 + 4.02101i −0.361135 + 0.335084i
\(145\) −1.32738 + 0.639234i −0.110233 + 0.0530855i
\(146\) −3.13808 + 4.60271i −0.259709 + 0.380923i
\(147\) −18.2101 7.14692i −1.50194 0.589468i
\(148\) 1.25426 4.06620i 0.103099 0.334239i
\(149\) 2.66080 + 2.46886i 0.217981 + 0.202257i 0.781603 0.623776i \(-0.214402\pi\)
−0.563622 + 0.826033i \(0.690593\pi\)
\(150\) 10.9749 8.75216i 0.896093 0.714610i
\(151\) −11.9303 14.9601i −0.970875 1.21744i −0.976071 0.217453i \(-0.930225\pi\)
0.00519540 0.999987i \(-0.498346\pi\)
\(152\) −9.76549 9.06105i −0.792086 0.734948i
\(153\) −4.56150 2.93213i −0.368775 0.237049i
\(154\) −4.36065 + 11.1108i −0.351392 + 0.895331i
\(155\) −4.95359 3.37730i −0.397882 0.271271i
\(156\) 2.62547 + 5.45185i 0.210206 + 0.436497i
\(157\) 17.2968 16.0491i 1.38043 1.28086i 0.461116 0.887340i \(-0.347449\pi\)
0.919318 0.393516i \(-0.128741\pi\)
\(158\) 3.15969 20.9632i 0.251371 1.66774i
\(159\) 7.99934 0.599468i 0.634389 0.0475409i
\(160\) 0.597902 0.234659i 0.0472683 0.0185515i
\(161\) −1.34885 + 5.90969i −0.106304 + 0.465749i
\(162\) 0.612719 8.17617i 0.0481397 0.642380i
\(163\) 5.09625 + 16.5216i 0.399169 + 1.29407i 0.902765 + 0.430135i \(0.141534\pi\)
−0.503596 + 0.863940i \(0.667990\pi\)
\(164\) 2.17965 4.52610i 0.170202 0.353429i
\(165\) 0.907933 0.524195i 0.0706825 0.0408086i
\(166\) −12.0787 + 20.9209i −0.937488 + 1.62378i
\(167\) −9.86236 14.4654i −0.763173 1.11937i −0.989389 0.145291i \(-0.953588\pi\)
0.226216 0.974077i \(-0.427364\pi\)
\(168\) −6.96493 30.5154i −0.537356 2.35431i
\(169\) 11.5647 1.74310i 0.889594 0.134085i
\(170\) 4.66725 + 6.46214i 0.357962 + 0.495624i
\(171\) −3.41339 −0.261028
\(172\) −24.3566 11.0926i −1.85717 0.845800i
\(173\) 13.9695i 1.06208i 0.847345 + 0.531042i \(0.178200\pi\)
−0.847345 + 0.531042i \(0.821800\pi\)
\(174\) −3.75050 + 4.70298i −0.284325 + 0.356532i
\(175\) −3.07063 20.3723i −0.232118 1.54000i
\(176\) −4.51486 + 1.03049i −0.340321 + 0.0776759i
\(177\) −7.33207 10.7542i −0.551112 0.808333i
\(178\) 6.62546 11.4756i 0.496599 0.860135i
\(179\) 1.09088 + 1.88947i 0.0815364 + 0.141225i 0.903910 0.427723i \(-0.140684\pi\)
−0.822374 + 0.568948i \(0.807351\pi\)
\(180\) 1.82588 3.79148i 0.136093 0.282600i
\(181\) 4.58819 + 14.8745i 0.341037 + 1.10562i 0.949956 + 0.312384i \(0.101127\pi\)
−0.608919 + 0.793233i \(0.708396\pi\)
\(182\) 13.1961 + 0.988909i 0.978158 + 0.0733028i
\(183\) 2.32551 10.1887i 0.171906 0.753171i
\(184\) −6.16494 + 2.41956i −0.454485 + 0.178372i
\(185\) 0.0610825 + 0.815089i 0.00449087 + 0.0599266i
\(186\) −24.2052 3.64835i −1.77481 0.267510i
\(187\) −1.94608 3.77579i −0.142312 0.276113i
\(188\) 3.39365 1.63430i 0.247508 0.119193i
\(189\) −21.7417 14.8232i −1.58147 1.07823i
\(190\) 4.67090 + 1.83319i 0.338863 + 0.132994i
\(191\) 1.37940 + 0.425488i 0.0998097 + 0.0307872i 0.344258 0.938875i \(-0.388131\pi\)
−0.244448 + 0.969662i \(0.578607\pi\)
\(192\) −6.15330 + 6.63168i −0.444076 + 0.478600i
\(193\) −3.25248 + 2.59377i −0.234119 + 0.186704i −0.733521 0.679667i \(-0.762124\pi\)
0.499402 + 0.866370i \(0.333553\pi\)
\(194\) −22.2768 + 17.7651i −1.59938 + 1.27546i
\(195\) −0.852051 0.790587i −0.0610166 0.0566151i
\(196\) −58.7782 18.1307i −4.19844 1.29505i
\(197\) −23.1957 9.10364i −1.65262 0.648607i −0.658083 0.752946i \(-0.728632\pi\)
−0.994542 + 0.104338i \(0.966728\pi\)
\(198\) −1.88226 + 2.76077i −0.133767 + 0.196200i
\(199\) 3.49627 + 7.26009i 0.247844 + 0.514654i 0.987362 0.158484i \(-0.0506605\pi\)
−0.739517 + 0.673138i \(0.764946\pi\)
\(200\) 16.5006 15.3103i 1.16677 1.08260i
\(201\) −1.71763 + 11.3957i −0.121152 + 0.803794i
\(202\) −0.853362 11.3873i −0.0600423 0.801209i
\(203\) 3.22545 + 8.21832i 0.226382 + 0.576813i
\(204\) 19.2055 + 10.4049i 1.34466 + 0.728486i
\(205\) −0.0721118 + 0.962265i −0.00503651 + 0.0672075i
\(206\) −5.42156 + 1.67233i −0.377738 + 0.116517i
\(207\) −0.736271 + 1.52888i −0.0511744 + 0.106265i
\(208\) 2.56714 + 4.44642i 0.177999 + 0.308303i
\(209\) −2.31565 1.33694i −0.160177 0.0924781i
\(210\) 6.64128 + 9.74097i 0.458292 + 0.672191i
\(211\) 2.20880 0.504144i 0.152060 0.0347067i −0.145813 0.989312i \(-0.546580\pi\)
0.297873 + 0.954605i \(0.403723\pi\)
\(212\) 24.9416 3.75934i 1.71299 0.258192i
\(213\) −6.02656 + 7.55707i −0.412933 + 0.517802i
\(214\) 19.5740i 1.33805i
\(215\) 5.13360 + 0.274170i 0.350108 + 0.0186982i
\(216\) 28.7497i 1.95617i
\(217\) −22.4001 + 28.0888i −1.52061 + 1.90679i
\(218\) −0.631846 4.19202i −0.0427940 0.283920i
\(219\) −0.652461 2.85862i −0.0440892 0.193168i
\(220\) 2.72371 1.85699i 0.183632 0.125198i
\(221\) −3.36422 + 3.29563i −0.226302 + 0.221688i
\(222\) 1.66865 + 2.89018i 0.111992 + 0.193976i
\(223\) 11.2270 + 5.40663i 0.751814 + 0.362055i 0.770222 0.637776i \(-0.220145\pi\)
−0.0184079 + 0.999831i \(0.505860\pi\)
\(224\) −1.13451 3.67798i −0.0758023 0.245745i
\(225\) 0.431008 5.75141i 0.0287339 0.383427i
\(226\) −41.5543 9.48451i −2.76415 0.630900i
\(227\) 23.2290 9.11672i 1.54176 0.605098i 0.566094 0.824341i \(-0.308454\pi\)
0.975670 + 0.219243i \(0.0703589\pi\)
\(228\) 13.7111 1.02750i 0.908040 0.0680482i
\(229\) −6.75296 1.01784i −0.446248 0.0672610i −0.0779255 0.996959i \(-0.524830\pi\)
−0.368322 + 0.929698i \(0.620068\pi\)
\(230\) 1.82862 1.69671i 0.120576 0.111878i
\(231\) −2.72585 5.66029i −0.179348 0.372420i
\(232\) −5.43367 + 7.96973i −0.356738 + 0.523238i
\(233\) 15.2841 + 5.99856i 1.00129 + 0.392979i 0.808650 0.588290i \(-0.200199\pi\)
0.192644 + 0.981269i \(0.438294\pi\)
\(234\) 3.53995 + 1.09193i 0.231414 + 0.0713816i
\(235\) −0.492123 + 0.530383i −0.0321026 + 0.0345983i
\(236\) −25.5172 31.9975i −1.66103 2.08286i
\(237\) 6.95728 + 8.72415i 0.451924 + 0.566695i
\(238\) 40.7060 24.9963i 2.63858 1.62027i
\(239\) −24.9775 7.70454i −1.61566 0.498365i −0.650386 0.759604i \(-0.725393\pi\)
−0.965274 + 0.261239i \(0.915869\pi\)
\(240\) −1.67114 + 4.25800i −0.107872 + 0.274853i
\(241\) −13.7850 + 20.2189i −0.887970 + 1.30241i 0.0645437 + 0.997915i \(0.479441\pi\)
−0.952513 + 0.304497i \(0.901512\pi\)
\(242\) 22.0819 10.6341i 1.41948 0.683585i
\(243\) −8.49386 9.15420i −0.544881 0.587242i
\(244\) 4.89765 32.4938i 0.313540 2.08020i
\(245\) 11.7824 0.882968i 0.752749 0.0564107i
\(246\) 1.43940 + 3.66754i 0.0917730 + 0.233834i
\(247\) −0.659660 + 2.89016i −0.0419732 + 0.183896i
\(248\) −39.1426 2.93333i −2.48556 0.186267i
\(249\) −3.74789 12.1504i −0.237513 0.769998i
\(250\) −7.87286 + 16.3482i −0.497923 + 1.03395i
\(251\) 5.45448 + 9.44744i 0.344284 + 0.596317i 0.985223 0.171274i \(-0.0547885\pi\)
−0.640940 + 0.767591i \(0.721455\pi\)
\(252\) −21.8391 12.6088i −1.37573 0.794281i
\(253\) −1.09831 + 0.748817i −0.0690504 + 0.0470777i
\(254\) 5.23923 + 22.9546i 0.328738 + 1.44030i
\(255\) −4.16429 0.512686i −0.260778 0.0321057i
\(256\) −20.2552 + 25.3992i −1.26595 + 1.58745i
\(257\) 14.0163 0.874310 0.437155 0.899386i \(-0.355986\pi\)
0.437155 + 0.899386i \(0.355986\pi\)
\(258\) 19.3702 8.08572i 1.20593 0.503395i
\(259\) 4.89809 0.304353
\(260\) −2.85743 2.27872i −0.177210 0.141320i
\(261\) 0.368361 + 2.44392i 0.0228010 + 0.151275i
\(262\) −10.4786 + 2.39166i −0.647367 + 0.147757i
\(263\) 8.58851 5.85554i 0.529590 0.361068i −0.268812 0.963193i \(-0.586631\pi\)
0.798402 + 0.602124i \(0.205679\pi\)
\(264\) 3.43198 5.94436i 0.211224 0.365850i
\(265\) −4.19594 + 2.42253i −0.257755 + 0.148815i
\(266\) 13.0463 27.0910i 0.799922 1.66106i
\(267\) 2.05581 + 6.66477i 0.125814 + 0.407877i
\(268\) −2.70800 + 36.1357i −0.165417 + 2.20734i
\(269\) 2.77850 + 0.634174i 0.169408 + 0.0386663i 0.306384 0.951908i \(-0.400881\pi\)
−0.136975 + 0.990574i \(0.543738\pi\)
\(270\) 3.95623 + 10.0803i 0.240769 + 0.613469i
\(271\) 1.97147 + 26.3075i 0.119758 + 1.59806i 0.656505 + 0.754321i \(0.272034\pi\)
−0.536747 + 0.843743i \(0.680347\pi\)
\(272\) 16.9098 + 7.58593i 1.02531 + 0.459965i
\(273\) −5.10588 + 4.73757i −0.309022 + 0.286731i
\(274\) 30.3494 14.6155i 1.83348 0.882956i
\(275\) 2.54508 3.73295i 0.153474 0.225105i
\(276\) 2.49727 6.36294i 0.150318 0.383004i
\(277\) −5.33991 + 17.3116i −0.320844 + 1.04015i 0.641227 + 0.767351i \(0.278426\pi\)
−0.962071 + 0.272799i \(0.912050\pi\)
\(278\) −9.82178 + 10.5854i −0.589071 + 0.634868i
\(279\) −7.86330 + 6.27077i −0.470764 + 0.375421i
\(280\) 11.7870 + 14.7805i 0.704409 + 0.883301i
\(281\) −10.9610 10.1703i −0.653878 0.606710i 0.281839 0.959462i \(-0.409056\pi\)
−0.935717 + 0.352752i \(0.885246\pi\)
\(282\) −0.870741 + 2.82287i −0.0518519 + 0.168100i
\(283\) 29.3212 + 11.5077i 1.74297 + 0.684064i 0.999890 + 0.0148592i \(0.00473000\pi\)
0.743078 + 0.669205i \(0.233365\pi\)
\(284\) −17.1209 + 25.1118i −1.01594 + 1.49011i
\(285\) −2.37955 + 1.14593i −0.140952 + 0.0678791i
\(286\) 1.97382 + 2.12728i 0.116715 + 0.125788i
\(287\) 5.71793 + 0.861839i 0.337518 + 0.0508727i
\(288\) −0.0805217 1.07449i −0.00474478 0.0633147i
\(289\) −2.87940 + 16.7544i −0.169377 + 0.985551i
\(290\) 0.808461 3.54210i 0.0474745 0.207999i
\(291\) 1.12075 14.9554i 0.0656998 0.876703i
\(292\) −2.71755 8.81007i −0.159032 0.515570i
\(293\) 11.0001 + 5.29737i 0.642633 + 0.309476i 0.726670 0.686987i \(-0.241067\pi\)
−0.0840368 + 0.996463i \(0.526781\pi\)
\(294\) 41.7785 24.1208i 2.43657 1.40676i
\(295\) 6.80817 + 3.93070i 0.396387 + 0.228854i
\(296\) 3.01459 + 4.42159i 0.175219 + 0.257000i
\(297\) −1.28406 5.62585i −0.0745089 0.326445i
\(298\) −8.85117 + 1.33410i −0.512734 + 0.0772823i
\(299\) 1.15224 + 0.918877i 0.0666355 + 0.0531401i
\(300\) 23.2323i 1.34132i
\(301\) 3.93727 30.5541i 0.226941 1.76111i
\(302\) 47.1872 2.71532
\(303\) 4.69923 + 3.74751i 0.269964 + 0.215289i
\(304\) 11.5360 1.73877i 0.661636 0.0997256i
\(305\) 1.40458 + 6.15386i 0.0804260 + 0.352369i
\(306\) 12.6668 4.28641i 0.724114 0.245037i
\(307\) −11.6681 + 20.2097i −0.665933 + 1.15343i 0.313098 + 0.949721i \(0.398633\pi\)
−0.979031 + 0.203709i \(0.934700\pi\)
\(308\) −9.87713 17.1077i −0.562801 0.974801i
\(309\) 1.29572 2.69058i 0.0737107 0.153062i
\(310\) 14.1280 4.35790i 0.802415 0.247512i
\(311\) 2.67767 + 0.200663i 0.151837 + 0.0113786i 0.150431 0.988620i \(-0.451934\pi\)
0.00140504 + 0.999999i \(0.499553\pi\)
\(312\) −7.41916 1.69337i −0.420027 0.0958684i
\(313\) 23.1516 9.08633i 1.30861 0.513590i 0.394437 0.918923i \(-0.370940\pi\)
0.914169 + 0.405333i \(0.132844\pi\)
\(314\) 4.34839 + 58.0252i 0.245394 + 3.27455i
\(315\) 4.78986 + 0.721955i 0.269878 + 0.0406776i
\(316\) 23.8650 + 25.7203i 1.34251 + 1.44688i
\(317\) 10.6628 + 22.1414i 0.598880 + 1.24359i 0.951450 + 0.307802i \(0.0995935\pi\)
−0.352570 + 0.935785i \(0.614692\pi\)
\(318\) −11.1436 + 16.3447i −0.624904 + 0.916566i
\(319\) −0.707325 + 1.80223i −0.0396026 + 0.100906i
\(320\) 1.61057 5.22133i 0.0900334 0.291881i
\(321\) −7.55247 7.00767i −0.421538 0.391130i
\(322\) −9.32016 11.6871i −0.519392 0.651297i
\(323\) 4.17803 + 9.85173i 0.232472 + 0.548165i
\(324\) 9.94736 + 9.22980i 0.552631 + 0.512767i
\(325\) −4.78650 1.47644i −0.265507 0.0818981i
\(326\) −39.6901 15.5772i −2.19823 0.862742i
\(327\) 1.84367 + 1.25699i 0.101955 + 0.0695118i
\(328\) 2.74117 + 5.69209i 0.151356 + 0.314293i
\(329\) 2.94903 + 3.17830i 0.162585 + 0.175225i
\(330\) −0.385331 + 2.55651i −0.0212118 + 0.140731i
\(331\) 0.216606 + 2.89040i 0.0119057 + 0.158871i 0.999988 + 0.00494280i \(0.00157335\pi\)
−0.988082 + 0.153928i \(0.950808\pi\)
\(332\) −14.6068 37.2176i −0.801653 2.04258i
\(333\) 1.33682 + 0.305119i 0.0732570 + 0.0167204i
\(334\) 43.0538 + 3.22644i 2.35580 + 0.176543i
\(335\) −2.05168 6.65140i −0.112096 0.363405i
\(336\) 24.6962 + 11.8931i 1.34729 + 0.648821i
\(337\) −20.8366 + 12.0300i −1.13504 + 0.655317i −0.945198 0.326498i \(-0.894131\pi\)
−0.189844 + 0.981814i \(0.560798\pi\)
\(338\) −14.4207 + 24.9773i −0.784380 + 1.35859i
\(339\) 18.5364 12.6379i 1.00676 0.686396i
\(340\) −13.1779 0.629044i −0.714670 0.0341147i
\(341\) −7.79059 + 1.17424i −0.421884 + 0.0635888i
\(342\) 5.24828 6.58113i 0.283794 0.355867i
\(343\) 37.9176i 2.04736i
\(344\) 30.0049 15.2506i 1.61776 0.822259i
\(345\) 1.31300i 0.0706894i
\(346\) −26.9338 21.4790i −1.44797 1.15472i
\(347\) 1.13903 + 7.55694i 0.0611461 + 0.405678i 0.998376 + 0.0569660i \(0.0181427\pi\)
−0.937230 + 0.348712i \(0.886619\pi\)
\(348\) −2.21533 9.70599i −0.118754 0.520295i
\(349\) −7.99966 + 5.45407i −0.428212 + 0.291950i −0.758184 0.652041i \(-0.773913\pi\)
0.329972 + 0.943991i \(0.392961\pi\)
\(350\) 43.9998 + 25.4033i 2.35189 + 1.35786i
\(351\) −5.54056 + 3.19885i −0.295733 + 0.170742i
\(352\) 0.366224 0.760472i 0.0195198 0.0405333i
\(353\) −30.9991 + 9.56195i −1.64991 + 0.508931i −0.973712 0.227784i \(-0.926852\pi\)
−0.676203 + 0.736715i \(0.736376\pi\)
\(354\) 32.0079 + 2.39866i 1.70120 + 0.127487i
\(355\) 1.29909 5.69169i 0.0689486 0.302084i
\(356\) 8.01220 + 20.4147i 0.424646 + 1.08198i
\(357\) −4.92851 + 24.6550i −0.260844 + 1.30488i
\(358\) −5.32025 0.801899i −0.281184 0.0423817i
\(359\) −17.6038 + 16.3339i −0.929093 + 0.862073i −0.990705 0.136028i \(-0.956566\pi\)
0.0616118 + 0.998100i \(0.480376\pi\)
\(360\) 2.29626 + 4.76822i 0.121023 + 0.251307i
\(361\) −10.1330 6.90854i −0.533314 0.363607i
\(362\) −35.7333 14.0243i −1.87810 0.737099i
\(363\) −3.80245 + 12.3273i −0.199577 + 0.647013i
\(364\) −14.8966 + 16.0547i −0.780794 + 0.841496i
\(365\) 1.10418 + 1.38460i 0.0577956 + 0.0724735i
\(366\) 16.0686 + 20.1494i 0.839919 + 1.05323i
\(367\) 22.6675 24.4297i 1.18323 1.27522i 0.229929 0.973207i \(-0.426150\pi\)
0.953303 0.302014i \(-0.0976591\pi\)
\(368\) 1.70952 5.54213i 0.0891149 0.288903i
\(369\) 1.50688 + 0.591408i 0.0784452 + 0.0307875i
\(370\) −1.66544 1.13548i −0.0865820 0.0590306i
\(371\) 12.5973 + 26.1586i 0.654019 + 1.35809i
\(372\) 29.6982 27.5559i 1.53978 1.42870i
\(373\) 10.7715 + 1.62354i 0.557725 + 0.0840635i 0.421855 0.906663i \(-0.361379\pi\)
0.135870 + 0.990727i \(0.456617\pi\)
\(374\) 10.2721 + 2.05338i 0.531156 + 0.106178i
\(375\) −3.48926 8.89049i −0.180185 0.459103i
\(376\) −1.05409 + 4.61826i −0.0543604 + 0.238169i
\(377\) 2.14048 + 0.160407i 0.110241 + 0.00826139i
\(378\) 62.0087 19.1272i 3.18938 0.983795i
\(379\) −10.5655 + 21.9396i −0.542715 + 1.12696i 0.431661 + 0.902036i \(0.357928\pi\)
−0.974376 + 0.224924i \(0.927787\pi\)
\(380\) −7.19196 + 4.15228i −0.368940 + 0.213008i
\(381\) −10.7325 6.19644i −0.549845 0.317453i
\(382\) −2.94126 + 2.00532i −0.150488 + 0.102601i
\(383\) −0.742694 3.25396i −0.0379499 0.166269i 0.952402 0.304845i \(-0.0986047\pi\)
−0.990352 + 0.138576i \(0.955748\pi\)
\(384\) −3.64206 24.1635i −0.185858 1.23309i
\(385\) 2.96668 + 2.36585i 0.151196 + 0.120575i
\(386\) 10.2590i 0.522168i
\(387\) 2.97791 8.09374i 0.151376 0.411428i
\(388\) 47.1570i 2.39404i
\(389\) −9.35105 + 11.7258i −0.474117 + 0.594524i −0.960174 0.279403i \(-0.909863\pi\)
0.486057 + 0.873927i \(0.338435\pi\)
\(390\) 2.83436 0.427210i 0.143523 0.0216326i
\(391\) 5.31387 + 0.253657i 0.268734 + 0.0128280i
\(392\) 63.9155 43.5769i 3.22822 2.20096i
\(393\) 2.82862 4.89931i 0.142685 0.247138i
\(394\) 53.2168 30.7247i 2.68102 1.54789i
\(395\) −6.07223 2.92423i −0.305527 0.147134i
\(396\) −1.63002 5.28441i −0.0819118 0.265552i
\(397\) −33.4783 2.50885i −1.68023 0.125916i −0.799853 0.600196i \(-0.795089\pi\)
−0.880374 + 0.474281i \(0.842708\pi\)
\(398\) −19.3734 4.42186i −0.971102 0.221648i
\(399\) 5.78215 + 14.7327i 0.289469 + 0.737556i
\(400\) 1.47311 + 19.6572i 0.0736553 + 0.982862i
\(401\) 3.87964 25.7398i 0.193740 1.28538i −0.654618 0.755960i \(-0.727171\pi\)
0.848358 0.529422i \(-0.177591\pi\)
\(402\) −19.3304 20.8333i −0.964115 1.03907i
\(403\) 3.78991 + 7.86983i 0.188789 + 0.392024i
\(404\) 15.6153 + 10.6463i 0.776891 + 0.529675i
\(405\) −2.42639 0.952288i −0.120568 0.0473196i
\(406\) −20.8045 6.41734i −1.03251 0.318487i
\(407\) 0.787390 + 0.730591i 0.0390295 + 0.0362141i
\(408\) −25.2898 + 10.7252i −1.25203 + 0.530975i
\(409\) 11.1727 + 14.0101i 0.552453 + 0.692755i 0.977143 0.212585i \(-0.0681881\pi\)
−0.424689 + 0.905339i \(0.639617\pi\)
\(410\) −1.74441 1.61857i −0.0861500 0.0799356i
\(411\) −5.22610 + 16.9426i −0.257785 + 0.835717i
\(412\) 3.43057 8.74096i 0.169012 0.430636i
\(413\) 26.5375 38.9234i 1.30583 1.91530i
\(414\) −1.81568 3.77030i −0.0892358 0.185300i
\(415\) 5.22364 + 5.62974i 0.256418 + 0.276353i
\(416\) −0.925344 0.139473i −0.0453687 0.00683823i
\(417\) −0.567992 7.57933i −0.0278147 0.371161i
\(418\) 6.13811 2.40903i 0.300225 0.117829i
\(419\) −15.2953 3.49105i −0.747223 0.170549i −0.168079 0.985774i \(-0.553756\pi\)
−0.579145 + 0.815225i \(0.696613\pi\)
\(420\) −19.4575 1.45814i −0.949430 0.0711500i
\(421\) 0.732218 0.225859i 0.0356861 0.0110077i −0.276861 0.960910i \(-0.589294\pi\)
0.312547 + 0.949902i \(0.398818\pi\)
\(422\) −2.42415 + 5.03380i −0.118006 + 0.245041i
\(423\) 0.606879 + 1.05115i 0.0295075 + 0.0511084i
\(424\) −15.8606 + 27.4714i −0.770260 + 1.33413i
\(425\) −17.1273 + 5.79581i −0.830795 + 0.281138i
\(426\) −5.30412 23.2389i −0.256985 1.12593i
\(427\) 37.4027 5.63755i 1.81004 0.272820i
\(428\) −25.3279 20.1983i −1.22427 0.976323i
\(429\) −1.52744 −0.0737456
\(430\) −8.42180 + 9.47620i −0.406135 + 0.456983i
\(431\) 8.51107i 0.409964i 0.978766 + 0.204982i \(0.0657135\pi\)
−0.978766 + 0.204982i \(0.934286\pi\)
\(432\) 19.6843 + 15.6977i 0.947063 + 0.755258i
\(433\) 21.8863 3.29883i 1.05179 0.158532i 0.399678 0.916656i \(-0.369122\pi\)
0.652111 + 0.758124i \(0.273884\pi\)
\(434\) −19.7148 86.3762i −0.946341 4.14619i
\(435\) 1.07726 + 1.58004i 0.0516505 + 0.0757574i
\(436\) 6.07631 + 3.50816i 0.291002 + 0.168010i
\(437\) 2.90010 1.67437i 0.138731 0.0800962i
\(438\) 6.51471 + 3.13732i 0.311285 + 0.149907i
\(439\) 2.87763 + 9.32904i 0.137342 + 0.445251i 0.997949 0.0640189i \(-0.0203918\pi\)
−0.860607 + 0.509270i \(0.829916\pi\)
\(440\) −0.309812 + 4.13416i −0.0147697 + 0.197088i
\(441\) 4.41060 19.3241i 0.210029 0.920196i
\(442\) −1.18141 11.5535i −0.0561939 0.549546i
\(443\) 0.312084 + 4.16447i 0.0148275 + 0.197860i 0.999698 + 0.0245685i \(0.00782118\pi\)
−0.984871 + 0.173291i \(0.944560\pi\)
\(444\) −5.46165 0.823211i −0.259198 0.0390679i
\(445\) −2.86529 3.08805i −0.135828 0.146388i
\(446\) −27.6863 + 13.3330i −1.31098 + 0.631336i
\(447\) 2.65405 3.89278i 0.125532 0.184122i
\(448\) −30.4799 11.9625i −1.44004 0.565174i
\(449\) −3.52938 + 11.4420i −0.166562 + 0.539981i −0.999919 0.0127550i \(-0.995940\pi\)
0.833357 + 0.552736i \(0.186416\pi\)
\(450\) 10.4262 + 9.67411i 0.491496 + 0.456042i
\(451\) 0.790632 + 0.991421i 0.0372294 + 0.0466842i
\(452\) 55.1524 43.9826i 2.59415 2.06877i
\(453\) −16.8935 + 18.2068i −0.793725 + 0.855432i
\(454\) −18.1386 + 58.8038i −0.851286 + 2.75980i
\(455\) 1.53696 3.91612i 0.0720539 0.183590i
\(456\) −9.74074 + 14.2870i −0.456152 + 0.669052i
\(457\) −4.97412 + 2.39541i −0.232679 + 0.112052i −0.546591 0.837400i \(-0.684075\pi\)
0.313912 + 0.949452i \(0.398360\pi\)
\(458\) 12.3455 11.4549i 0.576867 0.535254i
\(459\) −9.45263 + 21.0709i −0.441211 + 0.983506i
\(460\) 0.308526 + 4.11699i 0.0143851 + 0.191956i
\(461\) 8.92903 + 22.7508i 0.415866 + 1.05961i 0.973330 + 0.229409i \(0.0736793\pi\)
−0.557464 + 0.830201i \(0.688225\pi\)
\(462\) 15.1044 + 3.44748i 0.702720 + 0.160391i
\(463\) 0.443097 5.91272i 0.0205925 0.274787i −0.977397 0.211411i \(-0.932194\pi\)
0.997990 0.0633762i \(-0.0201868\pi\)
\(464\) −2.48986 8.07191i −0.115589 0.374729i
\(465\) −3.37649 + 7.01134i −0.156581 + 0.325143i
\(466\) −35.0656 + 20.2451i −1.62438 + 0.937838i
\(467\) −0.0970885 + 0.168162i −0.00449272 + 0.00778162i −0.868263 0.496104i \(-0.834763\pi\)
0.863770 + 0.503886i \(0.168097\pi\)
\(468\) −5.06577 + 3.45379i −0.234165 + 0.159651i
\(469\) −40.6656 + 9.28166i −1.87776 + 0.428587i
\(470\) −0.265929 1.76432i −0.0122664 0.0813822i
\(471\) −23.9454 19.0958i −1.10334 0.879887i
\(472\) 51.4697 2.36908
\(473\) 5.19033 4.32443i 0.238652 0.198838i
\(474\) −27.5177 −1.26393
\(475\) −7.09639 + 8.89860i −0.325605 + 0.408296i
\(476\) −9.66027 + 78.4654i −0.442778 + 3.59646i
\(477\) 1.80862 + 7.92408i 0.0828110 + 0.362819i
\(478\) 53.2589 36.3113i 2.43601 1.66084i
\(479\) −21.9509 12.6734i −1.00296 0.579061i −0.0938395 0.995587i \(-0.529914\pi\)
−0.909124 + 0.416526i \(0.863247\pi\)
\(480\) −0.416857 0.722017i −0.0190268 0.0329554i
\(481\) 0.516697 1.07293i 0.0235594 0.0489215i
\(482\) −17.7875 57.6656i −0.810198 2.62660i
\(483\) 7.84609 + 0.587983i 0.357010 + 0.0267542i
\(484\) −9.02620 + 39.5464i −0.410282 + 1.79756i
\(485\) 3.30934 + 8.43207i 0.150270 + 0.382880i
\(486\) 30.7094 2.30135i 1.39301 0.104391i
\(487\) 0.547795 3.63438i 0.0248229 0.164689i −0.972985 0.230869i \(-0.925843\pi\)
0.997808 + 0.0661799i \(0.0210811\pi\)
\(488\) 28.1090 + 30.2943i 1.27244 + 1.37136i
\(489\) 20.2198 9.73733i 0.914370 0.440337i
\(490\) −16.4137 + 24.0745i −0.741495 + 1.08757i
\(491\) −1.80187 + 4.59109i −0.0813172 + 0.207193i −0.965750 0.259475i \(-0.916450\pi\)
0.884433 + 0.466668i \(0.154546\pi\)
\(492\) −6.23097 1.92200i −0.280914 0.0866504i
\(493\) 6.60276 4.05455i 0.297373 0.182608i
\(494\) −4.55806 5.71563i −0.205077 0.257158i
\(495\) 0.662306 + 0.830506i 0.0297684 + 0.0373285i
\(496\) 23.3808 25.1985i 1.04983 1.13145i
\(497\) −33.4301 10.3118i −1.49955 0.462549i
\(498\) 29.1889 + 11.4558i 1.30799 + 0.513347i
\(499\) 18.1551 26.6286i 0.812733 1.19206i −0.165838 0.986153i \(-0.553033\pi\)
0.978571 0.205908i \(-0.0660146\pi\)
\(500\) −13.0299 27.0568i −0.582713 1.21002i
\(501\) −16.6586 + 15.4569i −0.744250 + 0.690563i
\(502\) −26.6016 4.00954i −1.18729 0.178955i
\(503\) 12.5598 0.941224i 0.560012 0.0419671i 0.208282 0.978069i \(-0.433213\pi\)
0.351730 + 0.936102i \(0.385594\pi\)
\(504\) 29.5218 11.5865i 1.31501 0.516102i
\(505\) −3.53927 0.807816i −0.157496 0.0359474i
\(506\) 0.244973 3.26894i 0.0108904 0.145322i
\(507\) −4.47458 14.5062i −0.198723 0.644244i
\(508\) −35.1086 16.9074i −1.55769 0.750145i
\(509\) −1.17865 2.04148i −0.0522426 0.0904869i 0.838721 0.544561i \(-0.183304\pi\)
−0.890964 + 0.454074i \(0.849970\pi\)
\(510\) 7.39131 7.24061i 0.327293 0.320620i
\(511\) 8.76846 5.97824i 0.387894 0.264462i
\(512\) −9.44862 41.3971i −0.417574 1.82951i
\(513\) 2.16664 + 14.3747i 0.0956596 + 0.634660i
\(514\) −21.5508 + 27.0238i −0.950565 + 1.19197i
\(515\) 1.80370i 0.0794806i
\(516\) −9.52544 + 33.4078i −0.419334 + 1.47070i
\(517\) 0.950799i 0.0418161i
\(518\) −7.53109 + 9.44369i −0.330897 + 0.414932i
\(519\) 17.9301 2.70252i 0.787042 0.118628i
\(520\) 4.48108 1.02278i 0.196509 0.0448518i
\(521\) 3.78599 + 5.55303i 0.165867 + 0.243283i 0.900169 0.435540i \(-0.143443\pi\)
−0.734302 + 0.678823i \(0.762490\pi\)
\(522\) −5.27833 3.04745i −0.231026 0.133383i
\(523\) −11.3961 19.7386i −0.498315 0.863107i 0.501683 0.865052i \(-0.332714\pi\)
−0.999998 + 0.00194422i \(0.999381\pi\)
\(524\) 7.71808 16.0268i 0.337166 0.700133i
\(525\) −25.5540 + 7.88237i −1.11527 + 0.344015i
\(526\) −1.91562 + 25.5622i −0.0835250 + 1.11456i
\(527\) 27.7235 + 15.0196i 1.20765 + 0.654263i
\(528\) 2.19608 + 5.59552i 0.0955720 + 0.243514i
\(529\) 1.59438 + 21.2755i 0.0693209 + 0.925024i
\(530\) 1.78078 11.8147i 0.0773521 0.513197i
\(531\) 9.66746 8.97009i 0.419532 0.389269i
\(532\) 21.5921 + 44.8366i 0.936138 + 1.94391i
\(533\) 0.791968 1.16160i 0.0343040 0.0503147i
\(534\) −16.0108 6.28379i −0.692857 0.271926i
\(535\) 5.94630 + 1.83419i 0.257081 + 0.0792990i
\(536\) −33.4068 30.9970i −1.44296 1.33887i
\(537\) 2.21411 1.76569i 0.0955458 0.0761952i
\(538\) −5.49481 + 4.38196i −0.236898 + 0.188920i
\(539\) 10.5609 11.3820i 0.454892 0.490257i
\(540\) −17.1259 5.28265i −0.736983 0.227329i
\(541\) 35.6309 + 13.9841i 1.53189 + 0.601223i 0.973567 0.228401i \(-0.0733496\pi\)
0.558323 + 0.829623i \(0.311445\pi\)
\(542\) −53.7530 36.6481i −2.30889 1.57417i
\(543\) 18.2040 8.76659i 0.781209 0.376210i
\(544\) −3.00263 + 1.54759i −0.128737 + 0.0663522i
\(545\) −1.33269 0.200870i −0.0570860 0.00860433i
\(546\) −1.28361 17.1286i −0.0549335 0.733037i
\(547\) −8.02053 + 3.14783i −0.342933 + 0.134591i −0.530556 0.847650i \(-0.678017\pi\)
0.187623 + 0.982241i \(0.439922\pi\)
\(548\) −12.4056 + 54.3526i −0.529942 + 2.32183i
\(549\) 10.5593 + 0.791314i 0.450662 + 0.0337724i
\(550\) 3.28405 + 10.6466i 0.140032 + 0.453974i
\(551\) 2.11620 4.39433i 0.0901530 0.187205i
\(552\) 4.29819 + 7.44468i 0.182943 + 0.316867i
\(553\) −20.1936 + 34.9764i −0.858720 + 1.48735i
\(554\) −25.1669 36.9130i −1.06924 1.56828i
\(555\) 1.03436 0.236086i 0.0439061 0.0100213i
\(556\) −3.56195 23.6320i −0.151060 1.00222i
\(557\) −21.1745 + 26.5520i −0.897192 + 1.12504i 0.0943865 + 0.995536i \(0.469911\pi\)
−0.991578 + 0.129507i \(0.958660\pi\)
\(558\) 24.8024i 1.04997i
\(559\) −6.27757 4.08560i −0.265513 0.172803i
\(560\) −16.5558 −0.699609
\(561\) −4.46978 + 3.22827i −0.188714 + 0.136298i
\(562\) 36.4619 5.49574i 1.53805 0.231824i
\(563\) −3.86566 16.9366i −0.162918 0.713792i −0.988713 0.149821i \(-0.952130\pi\)
0.825795 0.563971i \(-0.190727\pi\)
\(564\) −2.75417 4.03962i −0.115971 0.170099i
\(565\) −6.77514 + 11.7349i −0.285032 + 0.493690i
\(566\) −67.2704 + 38.8386i −2.82759 + 1.63251i
\(567\) −6.77718 + 14.0730i −0.284615 + 0.591009i
\(568\) −11.2663 36.5245i −0.472724 1.53253i
\(569\) 2.00683 26.7794i 0.0841309 1.12265i −0.782150 0.623091i \(-0.785877\pi\)
0.866280 0.499558i \(-0.166504\pi\)
\(570\) 1.44930 6.34979i 0.0607044 0.265963i
\(571\) −3.49113 + 1.37017i −0.146099 + 0.0573397i −0.437264 0.899333i \(-0.644052\pi\)
0.291165 + 0.956673i \(0.405957\pi\)
\(572\) −4.78939 + 0.358915i −0.200255 + 0.0150070i
\(573\) 0.279262 1.85278i 0.0116664 0.0774012i
\(574\) −10.4533 + 9.69924i −0.436312 + 0.404838i
\(575\) 2.45505 + 5.09797i 0.102383 + 0.212600i
\(576\) −7.57357 5.16357i −0.315565 0.215149i
\(577\) 14.6470 37.3200i 0.609763 1.55365i −0.208020 0.978125i \(-0.566702\pi\)
0.817783 0.575527i \(-0.195203\pi\)
\(578\) −27.8758 31.3124i −1.15948 1.30242i
\(579\) 3.95835 + 3.67281i 0.164503 + 0.152637i
\(580\) 3.74908 + 4.70120i 0.155672 + 0.195207i
\(581\) 35.9810 28.6939i 1.49274 1.19042i
\(582\) 27.1114 + 25.1557i 1.12380 + 1.04274i
\(583\) −1.87670 + 6.08410i −0.0777248 + 0.251978i
\(584\) 10.7933 + 4.23606i 0.446630 + 0.175289i
\(585\) 0.663426 0.973066i 0.0274293 0.0402313i
\(586\) −27.1268 + 13.0636i −1.12060 + 0.539651i
\(587\) 21.7855 20.2140i 0.899185 0.834321i −0.0876338 0.996153i \(-0.527931\pi\)
0.986818 + 0.161831i \(0.0517401\pi\)
\(588\) −11.8998 + 78.9500i −0.490739 + 3.25584i
\(589\) 19.7922 1.48322i 0.815523 0.0611150i
\(590\) −18.0465 + 7.08272i −0.742962 + 0.291591i
\(591\) −7.19722 + 31.5331i −0.296054 + 1.29710i
\(592\) −4.67338 0.350222i −0.192075 0.0143940i
\(593\) 0.183714 0.0566683i 0.00754424 0.00232709i −0.290981 0.956729i \(-0.593982\pi\)
0.298525 + 0.954402i \(0.403505\pi\)
\(594\) 12.8212 + 6.17435i 0.526059 + 0.253336i
\(595\) −3.77914 14.7082i −0.154930 0.602977i
\(596\) 7.40723 12.8297i 0.303412 0.525525i
\(597\) 8.64201 5.89203i 0.353694 0.241145i
\(598\) −3.54326 + 0.808725i −0.144894 + 0.0330712i
\(599\) −28.2928 + 4.26445i −1.15601 + 0.174241i −0.698934 0.715186i \(-0.746342\pi\)
−0.457077 + 0.889427i \(0.651104\pi\)
\(600\) −22.8431 18.2167i −0.932564 0.743695i
\(601\) 24.6502i 1.00550i −0.864431 0.502751i \(-0.832321\pi\)
0.864431 0.502751i \(-0.167679\pi\)
\(602\) 52.8556 + 54.5699i 2.15423 + 2.22410i
\(603\) −11.6769 −0.475520
\(604\) −48.6924 + 61.0583i −1.98127 + 2.48443i
\(605\) −1.16129 7.70465i −0.0472131 0.313239i
\(606\) −14.4507 + 3.29827i −0.587018 + 0.133983i
\(607\) −3.25379 4.77243i −0.132067 0.193707i 0.754509 0.656290i \(-0.227875\pi\)
−0.886576 + 0.462583i \(0.846923\pi\)
\(608\) −1.06318 + 1.84148i −0.0431175 + 0.0746817i
\(609\) 9.92430 5.72980i 0.402153 0.232183i
\(610\) −14.0245 6.75383i −0.567835 0.273455i
\(611\) 1.00730 0.310712i 0.0407511 0.0125700i
\(612\) −7.52443 + 20.8135i −0.304157 + 0.841335i
\(613\) −0.984262 + 4.31233i −0.0397540 + 0.174173i −0.990908 0.134545i \(-0.957043\pi\)
0.951154 + 0.308718i \(0.0999000\pi\)
\(614\) −21.0247 53.5701i −0.848488 2.16191i
\(615\) 1.24903 0.0936017i 0.0503657 0.00377439i
\(616\) 24.5658 + 3.70270i 0.989784 + 0.149186i
\(617\) 23.3953 + 25.2142i 0.941860 + 1.01508i 0.999859 + 0.0167670i \(0.00533735\pi\)
−0.0579995 + 0.998317i \(0.518472\pi\)
\(618\) 3.19530 + 6.63511i 0.128534 + 0.266903i
\(619\) 26.4906 38.8546i 1.06475 1.56170i 0.262289 0.964989i \(-0.415523\pi\)
0.802459 0.596708i \(-0.203525\pi\)
\(620\) −8.93967 + 22.7779i −0.359026 + 0.914783i
\(621\) 6.90590 + 2.13019i 0.277124 + 0.0854815i
\(622\) −4.50395 + 4.85410i −0.180592 + 0.194632i
\(623\) −19.7364 + 15.7393i −0.790724 + 0.630581i
\(624\) 5.21039 4.15515i 0.208582 0.166339i
\(625\) −11.8449 10.9905i −0.473797 0.439619i
\(626\) −18.0781 + 58.6079i −0.722547 + 2.34244i
\(627\) −1.26800 + 3.23080i −0.0506389 + 0.129026i
\(628\) −79.5693 54.2494i −3.17516 2.16479i
\(629\) −0.755642 4.23179i −0.0301294 0.168733i
\(630\) −8.75664 + 8.12497i −0.348873 + 0.323707i
\(631\) 39.4956 + 5.95301i 1.57230 + 0.236986i 0.876553 0.481305i \(-0.159837\pi\)
0.695743 + 0.718291i \(0.255075\pi\)
\(632\) −44.0022 + 3.29751i −1.75031 + 0.131168i
\(633\) −1.07438 2.73749i −0.0427030 0.108805i
\(634\) −59.0841 13.4856i −2.34653 0.535580i
\(635\) 7.46422 + 0.559366i 0.296208 + 0.0221978i
\(636\) −9.65030 31.2855i −0.382659 1.24055i
\(637\) −15.5096 7.46903i −0.614513 0.295934i
\(638\) −2.38722 4.13479i −0.0945109 0.163698i
\(639\) −8.48159 4.89685i −0.335527 0.193716i
\(640\) 8.31421 + 12.1947i 0.328648 + 0.482038i
\(641\) −35.7413 + 8.15772i −1.41170 + 0.322211i −0.859343 0.511399i \(-0.829127\pi\)
−0.552354 + 0.833610i \(0.686270\pi\)
\(642\) 25.1234 3.78674i 0.991541 0.149451i
\(643\) −9.43690 7.52568i −0.372155 0.296784i 0.419496 0.907757i \(-0.362207\pi\)
−0.791651 + 0.610973i \(0.790778\pi\)
\(644\) 24.7401 0.974896
\(645\) −0.641236 6.64206i −0.0252486 0.261531i
\(646\) −25.4184 7.09221i −1.00007 0.279039i
\(647\) 20.5208 25.7322i 0.806755 1.01164i −0.192783 0.981241i \(-0.561751\pi\)
0.999538 0.0303973i \(-0.00967725\pi\)
\(648\) −16.8750 + 2.54349i −0.662912 + 0.0999179i
\(649\) 10.0718 2.29882i 0.395352 0.0902366i
\(650\) 10.2061 6.95843i 0.400318 0.272932i
\(651\) 40.3857 + 23.3167i 1.58284 + 0.913853i
\(652\) 61.1124 35.2832i 2.39334 1.38180i
\(653\) −3.51795 + 7.30510i −0.137668 + 0.285871i −0.958393 0.285454i \(-0.907856\pi\)
0.820725 + 0.571324i \(0.193570\pi\)
\(654\) −5.25827 + 1.62196i −0.205615 + 0.0634237i
\(655\) −0.255346 + 3.40735i −0.00997718 + 0.133136i
\(656\) −5.39398 1.23114i −0.210600 0.0480680i
\(657\) 2.76555 1.08540i 0.107894 0.0423454i
\(658\) −10.6622 + 0.799020i −0.415655 + 0.0311490i
\(659\) 16.8742 + 2.54337i 0.657325 + 0.0990758i 0.469231 0.883075i \(-0.344531\pi\)
0.188094 + 0.982151i \(0.439769\pi\)
\(660\) −2.91039 3.13666i −0.113287 0.122094i
\(661\) 28.9340 13.9339i 1.12540 0.541966i 0.223846 0.974625i \(-0.428139\pi\)
0.901558 + 0.432659i \(0.142424\pi\)
\(662\) −5.90584 4.02653i −0.229537 0.156496i
\(663\) 4.88080 + 3.68044i 0.189555 + 0.142936i
\(664\) 48.0473 + 14.8206i 1.86460 + 0.575152i
\(665\) −7.00735 6.50187i −0.271733 0.252132i
\(666\) −2.64371 + 2.10829i −0.102442 + 0.0816945i
\(667\) −1.51179 1.89572i −0.0585366 0.0734026i
\(668\) −48.6020 + 52.3805i −1.88047 + 2.02666i
\(669\) 4.76751 15.4559i 0.184323 0.597559i
\(670\) 15.9787 + 6.27118i 0.617312 + 0.242277i
\(671\) 6.85354 + 4.67266i 0.264578 + 0.180386i
\(672\) −4.50124 + 2.16768i −0.173639 + 0.0836202i
\(673\) −21.7820 23.4754i −0.839635 0.904911i 0.156940 0.987608i \(-0.449837\pi\)
−0.996575 + 0.0826972i \(0.973647\pi\)
\(674\) 8.84316 58.6705i 0.340626 2.25990i
\(675\) −24.4944 + 1.83560i −0.942789 + 0.0706522i
\(676\) −17.4390 44.4338i −0.670729 1.70899i
\(677\) 34.0997 + 7.78304i 1.31056 + 0.299127i 0.820041 0.572304i \(-0.193950\pi\)
0.490518 + 0.871431i \(0.336808\pi\)
\(678\) −4.13444 + 55.1703i −0.158782 + 2.11880i
\(679\) 51.8696 15.9996i 1.99057 0.614010i
\(680\) 10.9514 12.4638i 0.419968 0.477966i
\(681\) −16.1952 28.0510i −0.620603 1.07492i
\(682\) 9.71449 16.8260i 0.371987 0.644300i
\(683\) −11.9322 17.5014i −0.456574 0.669671i 0.527064 0.849825i \(-0.323293\pi\)
−0.983638 + 0.180154i \(0.942340\pi\)
\(684\) 3.10003 + 13.5821i 0.118533 + 0.519325i
\(685\) −1.59608 10.5893i −0.0609830 0.404596i
\(686\) 73.1065 + 58.3005i 2.79122 + 2.22592i
\(687\) 8.86440i 0.338198i
\(688\) −5.94131 + 28.8709i −0.226510 + 1.10069i
\(689\) 7.05895 0.268925
\(690\) −2.53151 2.01881i −0.0963728 0.0768547i
\(691\) −3.47918 23.0828i −0.132354 0.878112i −0.952188 0.305512i \(-0.901173\pi\)
0.819834 0.572601i \(-0.194066\pi\)
\(692\) 55.5858 12.6871i 2.11306 0.482291i
\(693\) 5.25945 3.58583i 0.199790 0.136215i
\(694\) −16.3214 9.42314i −0.619550 0.357698i
\(695\) 2.29533 + 3.97563i 0.0870668 + 0.150804i
\(696\) 11.2804 + 5.43236i 0.427583 + 0.205913i
\(697\) −0.137519 5.07306i −0.00520892 0.192156i
\(698\) 1.78428 23.8096i 0.0675360 0.901205i
\(699\) 4.74239 20.7778i 0.179374 0.785887i
\(700\) −78.2741 + 30.7203i −2.95848 + 1.16112i
\(701\) 3.42890 + 45.7554i 0.129508 + 1.72816i 0.562531 + 0.826776i \(0.309828\pi\)
−0.433023 + 0.901383i \(0.642553\pi\)
\(702\) 2.35144 15.6008i 0.0887495 0.588814i
\(703\) −1.84050 1.98359i −0.0694159 0.0748125i
\(704\) −3.11548 6.46936i −0.117419 0.243823i
\(705\) 0.775957 + 0.529038i 0.0292242 + 0.0199247i
\(706\) 29.2271 74.4694i 1.09998 2.80269i
\(707\) −6.41223 + 20.7879i −0.241157 + 0.781810i
\(708\) −36.1327 + 38.9417i −1.35795 + 1.46352i
\(709\) −10.9770 + 8.75387i −0.412250 + 0.328759i −0.807556 0.589791i \(-0.799210\pi\)
0.395306 + 0.918550i \(0.370639\pi\)
\(710\) 8.97636 + 11.2560i 0.336877 + 0.422430i
\(711\) −7.69016 + 8.28803i −0.288404 + 0.310825i
\(712\) −26.3551 8.12948i −0.987700 0.304665i
\(713\) 3.60485 9.18501i 0.135003 0.343981i
\(714\) −39.9579 47.4108i −1.49538 1.77430i
\(715\) 0.831195 0.400283i 0.0310849 0.0149697i
\(716\) 6.52758 6.05671i 0.243947 0.226350i
\(717\) −5.05676 + 33.5494i −0.188848 + 1.25292i
\(718\) −4.42557 59.0551i −0.165161 2.20392i
\(719\) −5.47190 + 2.14756i −0.204068 + 0.0800906i −0.465173 0.885220i \(-0.654008\pi\)
0.261106 + 0.965310i \(0.415913\pi\)
\(720\) −4.51850 1.03132i −0.168394 0.0384349i
\(721\) 10.7784 + 0.807730i 0.401409 + 0.0300814i
\(722\) 28.8999 8.91445i 1.07554 0.331761i
\(723\) 28.6179 + 13.7817i 1.06431 + 0.512546i
\(724\) 55.0199 31.7657i 2.04480 1.18056i
\(725\) 7.13703 + 4.12057i 0.265063 + 0.153034i
\(726\) −17.9209 26.2851i −0.665106 0.975532i
\(727\) 2.46918 + 10.8182i 0.0915769 + 0.401224i 0.999853 0.0171468i \(-0.00545826\pi\)
−0.908276 + 0.418371i \(0.862601\pi\)
\(728\) −4.10512 27.2357i −0.152146 1.00942i
\(729\) −16.3252 + 20.4712i −0.604638 + 0.758192i
\(730\) −4.36731 −0.161641
\(731\) −27.0052 + 1.31199i −0.998822 + 0.0485256i
\(732\) −42.6536 −1.57652
\(733\) −8.25949 + 10.3571i −0.305071 + 0.382547i −0.910609 0.413270i \(-0.864387\pi\)
0.605538 + 0.795817i \(0.292958\pi\)
\(734\) 12.2488 + 81.2658i 0.452113 + 2.99958i
\(735\) −3.41270 14.9520i −0.125879 0.551513i
\(736\) 0.595483 + 0.873413i 0.0219498 + 0.0321944i
\(737\) −7.92162 4.57355i −0.291797 0.168469i
\(738\) −3.45717 + 1.99600i −0.127260 + 0.0734738i
\(739\) 24.3465 + 11.7247i 0.895602 + 0.431299i 0.824299 0.566155i \(-0.191570\pi\)
0.0713037 + 0.997455i \(0.477284\pi\)
\(740\) 3.18782 0.983313i 0.117187 0.0361473i
\(741\) 3.83717 + 0.287556i 0.140962 + 0.0105636i
\(742\) −69.8037 15.9322i −2.56257 0.584891i
\(743\) −15.4083 + 6.04729i −0.565274 + 0.221854i −0.630731 0.776002i \(-0.717245\pi\)
0.0654568 + 0.997855i \(0.479150\pi\)
\(744\) 3.80749 + 50.8074i 0.139589 + 1.86269i
\(745\) −0.424123 + 2.81387i −0.0155387 + 0.103092i
\(746\) −19.6920 + 18.2715i −0.720974 + 0.668966i
\(747\) 11.6076 5.58991i 0.424699 0.204524i
\(748\) −13.2567 + 11.1728i −0.484713 + 0.408517i
\(749\) 13.6234 34.7120i 0.497790 1.26835i
\(750\) 22.5061 + 6.94221i 0.821807 + 0.253494i
\(751\) −12.5702 + 13.5474i −0.458693 + 0.494353i −0.919469 0.393163i \(-0.871381\pi\)
0.460776 + 0.887517i \(0.347571\pi\)
\(752\) −2.58649 3.24335i