Properties

Label 731.2.z.a.67.6
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 67.6
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.6

$q$-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} +(-3.90555 - 1.32162i) 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} +(8.55314 - 5.49796i) 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} +(0.940758 - 5.26849i) 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} +(-1.71183 + 16.7407i) 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 \(0.0746361\pi\)
−0.860943 + 0.508701i \(0.830126\pi\)
\(4\) −0.908197 3.97907i −0.454098 1.98954i
\(5\) −0.441633 0.647756i −0.197504 0.289685i 0.714692 0.699439i \(-0.246567\pi\)
−0.912196 + 0.409754i \(0.865615\pi\)
\(6\) −2.77211 1.60048i −1.13171 0.653392i
\(7\) −4.06857 + 2.34899i −1.53778 + 0.887835i −0.538807 + 0.842429i \(0.681125\pi\)
−0.998969 + 0.0454064i \(0.985542\pi\)
\(8\) 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 0.0683996 0.997658i \(-0.478211\pi\)
−0.371242 + 0.928536i \(0.621068\pi\)
\(12\) 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
\(17\) −3.90555 1.32162i −0.947235 0.320541i
\(18\) −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 −0.634892 0.772601i \(-0.718956\pi\)
0.817886 + 0.575380i \(0.195146\pi\)
\(24\) −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 \(-0.896556\pi\)
0.999668 0.0257776i \(-0.00820617\pi\)
\(30\) 0.187534 + 2.50247i 0.0342389 + 0.456886i
\(31\) 7.11867 2.79387i 1.27855 0.501794i 0.373711 0.927545i \(-0.378085\pi\)
0.904840 + 0.425751i \(0.139990\pi\)
\(32\) 0.182307 0.798741i 0.0322277 0.141199i
\(33\) 0.0999339 1.33353i 0.0173963 0.232137i
\(34\) 8.55314 5.49796i 1.46685 0.942893i
\(35\) 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 0.423941 0.905690i \(-0.360646\pi\)
−0.572379 + 0.819989i \(0.693980\pi\)
\(38\) 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 0.545459 0.838138i \(-0.316355\pi\)
−0.695748 + 0.718286i \(0.744927\pi\)
\(42\) 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
\(51\) 0.940758 5.26849i 0.131732 0.737736i
\(52\) −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 −0.166735 0.986002i \(-0.553322\pi\)
−0.792877 + 0.609382i \(0.791418\pi\)
\(62\) −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 \(0.777702\pi\)
\(68\) −1.71183 + 16.7407i −0.207590 + 2.03011i
\(69\) 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 0.958156 0.286245i \(-0.0924071\pi\)
−0.357048 + 0.934086i \(0.616217\pi\)
\(72\) 6.67518 + 1.00612i 0.786677 + 0.118573i
\(73\) −2.25263 + 0.168811i −0.263651 + 0.0197579i −0.205900 0.978573i \(-0.566012\pi\)
−0.0577511 + 0.998331i \(0.518393\pi\)
\(74\) 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 −0.0188309 0.999823i \(-0.505994\pi\)
0.856456 + 0.516219i \(0.172661\pi\)
\(80\) 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 −0.391647 0.920116i \(-0.628094\pi\)
−0.752085 + 0.659066i \(0.770952\pi\)
\(98\) 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 \(0.335902\pi\)
\(102\) 8.71137 + 9.91442i 0.862554 + 0.981674i
\(103\) 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 −0.875738 0.482786i \(-0.839625\pi\)
0.275811 + 0.961212i \(0.411053\pi\)
\(108\) 17.8730 14.2533i 1.71983 1.37152i
\(109\) 1.16928 1.26019i 0.111997 0.120704i −0.674565 0.738216i \(-0.735669\pi\)
0.786562 + 0.617512i \(0.211859\pi\)
\(110\) −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 \(-0.840708\pi\)
0.171910 0.985113i \(-0.445006\pi\)
\(114\) 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
\(119\) 18.9945 3.79698i 1.74122 0.348068i
\(120\) 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 0.463226 0.886240i \(-0.346692\pi\)
−0.760943 + 0.648819i \(0.775263\pi\)
\(132\) −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
\(136\) −15.1180 14.8097i −1.29636 1.26993i
\(137\) −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 −0.175248 0.984524i \(-0.556073\pi\)
−0.320026 + 0.947409i \(0.603692\pi\)
\(140\) 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
\(153\) −5.42062 0.146941i −0.438231 0.0118795i
\(154\) −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 \(-0.858466\pi\)
0.503596 0.863940i \(-0.332010\pi\)
\(164\) −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 \(0.0464120\pi\)
−0.226216 + 0.974077i \(0.572636\pi\)
\(168\) −6.96493 30.5154i −0.537356 2.35431i
\(169\) 11.5647 1.74310i 0.889594 0.134085i
\(170\) −7.33868 3.11227i −0.562851 0.238700i
\(171\) −3.41339 −0.261028
\(172\) −24.3566 11.0926i −1.85717 0.845800i
\(173\) 13.9695i 1.06208i −0.847345 0.531042i \(-0.821800\pi\)
0.847345 0.531042i \(-0.178200\pi\)
\(174\) −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 \(-0.898873\pi\)
0.608919 0.793233i \(-0.291604\pi\)
\(182\) −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
\(187\) 3.61980 + 2.22281i 0.264706 + 0.162548i
\(188\) 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 −0.499402 0.866370i \(-0.666447\pi\)
0.733521 + 0.679667i \(0.237876\pi\)
\(194\) 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 0.994542 0.104338i \(-0.0332725\pi\)
0.658083 + 0.752946i \(0.271368\pi\)
\(198\) 1.88226 2.76077i 0.133767 0.196200i
\(199\) −3.49627 7.26009i −0.247844 0.514654i 0.739517 0.673138i \(-0.235054\pi\)
−0.987362 + 0.158484i \(0.949340\pi\)
\(200\) 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
\(204\) −21.8181 + 1.04148i −1.52757 + 0.0729185i
\(205\) −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 −0.297873 0.954605i \(-0.596277\pi\)
0.145813 + 0.989312i \(0.453420\pi\)
\(212\) 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
\(221\) −1.17199 + 4.56131i −0.0788364 + 0.306827i
\(222\) 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 −0.975670 0.219243i \(-0.929641\pi\)
−0.566094 + 0.824341i \(0.691546\pi\)
\(228\) −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 −0.192644 0.981269i \(-0.561706\pi\)
−0.808650 + 0.588290i \(0.799801\pi\)
\(234\) 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
\(238\) −21.8844 + 42.4601i −1.41856 + 2.75228i
\(239\) −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 \(-0.520559\pi\)
0.952513 0.304497i \(-0.0984884\pi\)
\(242\) 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
\(255\) −3.82817 + 1.71736i −0.239729 + 0.107545i
\(256\) −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 0.136975 0.990574i \(-0.456262\pi\)
−0.306384 + 0.951908i \(0.599119\pi\)
\(270\) 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 \(0.680347\pi\)
\(272\) 18.3946 2.26465i 1.11534 0.137314i
\(273\) −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 \(-0.721574\pi\)
0.962071 0.272799i \(-0.0879495\pi\)
\(278\) 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 \(-0.995270\pi\)
−0.743078 0.669205i \(-0.766635\pi\)
\(284\) 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
\(289\) 13.5066 + 10.3233i 0.794507 + 0.607255i
\(290\) 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
\(306\) 8.61781 10.2252i 0.492647 0.584536i
\(307\) −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 −0.00140504 0.999999i \(-0.500447\pi\)
−0.150431 + 0.988620i \(0.548066\pi\)
\(312\) 7.41916 + 1.69337i 0.420027 + 0.0958684i
\(313\) −23.1516 + 9.08633i −1.30861 + 0.513590i −0.914169 0.405333i \(-0.867156\pi\)
−0.394437 + 0.918923i \(0.629060\pi\)
\(314\) 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 \(-0.900407\pi\)
0.352570 0.935785i \(-0.385308\pi\)
\(318\) 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
\(323\) 8.67503 + 6.26549i 0.482691 + 0.348621i
\(324\) 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 0.189844 0.981814i \(-0.439202\pi\)
0.945198 + 0.326498i \(0.105869\pi\)
\(338\) −14.4207 + 24.9773i −0.784380 + 1.35859i
\(339\) 18.5364 12.6379i 1.00676 0.686396i
\(340\) 11.5999 6.28441i 0.629094 0.340820i
\(341\) −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 \(-0.981857\pi\)
0.937230 0.348712i \(-0.113381\pi\)
\(348\) −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
\(357\) 8.54810 + 23.6451i 0.452413 + 1.25143i
\(358\) −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 \(0.573850\pi\)
−0.953303 + 0.302014i \(0.902341\pi\)
\(368\) −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 \(0.456617\pi\)
\(374\) −9.85130 + 3.56141i −0.509399 + 0.184156i
\(375\) −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 \(-0.642072\pi\)
0.974376 0.224924i \(-0.0722135\pi\)
\(380\) 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
\(391\) −4.67757 + 2.53414i −0.236555 + 0.128157i
\(392\) 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 0.880374 0.474281i \(-0.157292\pi\)
0.799853 + 0.600196i \(0.204911\pi\)
\(398\) 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 \(0.272829\pi\)
−0.848358 + 0.529422i \(0.822409\pi\)
\(402\) 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
\(408\) 16.0838 22.2691i 0.796265 1.10249i
\(409\) 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 0.579145 0.815225i \(-0.303387\pi\)
0.168079 + 0.985774i \(0.446244\pi\)
\(420\) 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
\(425\) −11.6525 + 13.8259i −0.565228 + 0.670654i
\(426\) −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 \(-0.934286\pi\)
0.978766 0.204982i \(-0.0657135\pi\)
\(432\) −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 0.860607 0.509270i \(-0.170084\pi\)
−0.997949 + 0.0640189i \(0.979608\pi\)
\(440\) −0.309812 + 4.13416i −0.0147697 + 0.197088i
\(441\) 4.41060 19.3241i 0.210029 0.920196i
\(442\) −6.99237 9.27290i −0.332593 0.441067i
\(443\) 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 −0.833357 0.552736i \(-0.813584\pi\)
0.999919 + 0.0127550i \(0.00406015\pi\)
\(450\) 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
\(459\) −2.82192 22.9210i −0.131716 1.06986i
\(460\) 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
\(476\) −32.3592 72.1320i −1.48318 3.30617i
\(477\) 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 0.909124 0.416526i \(-0.136753\pi\)
0.0938395 + 0.995587i \(0.470086\pi\)
\(480\) −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 −0.997808 0.0661799i \(-0.978919\pi\)
0.972985 + 0.230869i \(0.0741570\pi\)
\(488\) −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
\(493\) −3.54979 + 6.88729i −0.159874 + 0.310188i
\(494\) −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 \(0.446967\pi\)
−0.978571 + 0.205908i \(0.933985\pi\)
\(500\) 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 −0.351730 0.936102i \(-0.614406\pi\)
−0.208282 + 0.978069i \(0.566787\pi\)
\(504\) −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 \(0.849970\pi\)
\(510\) 2.57490 10.0214i 0.114019 0.443754i
\(511\) 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 0.734302 0.678823i \(-0.237510\pi\)
−0.900169 + 0.435540i \(0.856557\pi\)
\(522\) 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
\(527\) −31.4948 + 1.50340i −1.37193 + 0.0654891i
\(528\) 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 −0.558323 0.829623i \(-0.688555\pi\)
−0.973567 + 0.228401i \(0.926650\pi\)
\(542\) −53.7530 36.6481i −2.30889 1.57417i
\(543\) 18.2040 8.76659i 0.781209 0.376210i
\(544\) −1.76765 + 2.87858i −0.0757872 + 0.123418i
\(545\) −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 −0.187623 0.982241i \(-0.560078\pi\)
0.530556 + 0.847650i \(0.321983\pi\)
\(548\) −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
\(561\) −2.15272 + 5.07607i −0.0908877 + 0.214312i
\(562\) 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 −0.291165 0.956673i \(-0.594043\pi\)
0.437264 + 0.899333i \(0.355948\pi\)
\(572\) 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 \(-0.195203\pi\)
\(578\) −40.6709 + 10.1685i −1.69169 + 0.422955i
\(579\) 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
\(595\) −10.8481 10.6269i −0.444729 0.435662i
\(596\) 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 \(0.167679\pi\)
−0.864431 + 0.502751i \(0.832321\pi\)
\(602\) −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 0.886576 0.462583i \(-0.153077\pi\)
−0.754509 + 0.656290i \(0.772125\pi\)
\(608\) −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
\(612\) 4.33830 + 21.7025i 0.175365 + 0.877270i
\(613\) −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 \(-0.994663\pi\)
0.0579995 0.998317i \(-0.481528\pi\)
\(618\) −3.19530 6.63511i −0.128534 0.266903i
\(619\) −26.4906 + 38.8546i −1.06475 + 1.56170i −0.262289 + 0.964989i \(0.584477\pi\)
−0.802459 + 0.596708i \(0.796475\pi\)
\(620\) −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
\(629\) 2.83741 + 3.22926i 0.113135 + 0.128759i
\(630\) −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 0.552354 0.833610i \(-0.313730\pi\)
0.859343 + 0.511399i \(0.170873\pi\)
\(642\) 25.1234 3.78674i 0.991541 0.149451i
\(643\) 9.43690 + 7.52568i 0.372155 + 0.296784i 0.791651 0.610973i \(-0.209222\pi\)
−0.419496 + 0.907757i \(0.637793\pi\)
\(644\) 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 −0.820725 0.571324i \(-0.806430\pi\)
0.958393 + 0.285454i \(0.0921442\pi\)
\(654\) −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
\(663\) −6.08122 0.621836i −0.236175 0.0241501i
\(664\) 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 0.996575 0.0826972i \(-0.0263534\pi\)
−0.156940 + 0.987608i \(0.550163\pi\)
\(674\) −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 −0.490518 0.871431i \(-0.663192\pi\)
−0.820041 + 0.572304i \(0.806050\pi\)
\(678\) −4.13444 + 55.1703i −0.158782 + 2.11880i
\(679\) 51.8696 15.9996i 1.99057 0.614010i
\(680\) −2.91651 + 16.3332i −0.111843 + 0.626351i
\(681\) −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 0.983638 0.180154i \(-0.0576597\pi\)
−0.527064 + 0.849825i \(0.676707\pi\)
\(684\) 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 \(0.0988274\pi\)
−0.819834 + 0.572601i \(0.805934\pi\)
\(692\) −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
\(697\) 2.74413 + 4.26903i 0.103941 + 0.161701i
\(698\) 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 −0.395306 0.918550i \(-0.629361\pi\)
0.807556 + 0.589791i \(0.200790\pi\)
\(710\) 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
\(714\) −58.7317 19.8746i −2.19798 0.743788i
\(715\) 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 −0.261106 0.965310i \(-0.584087\pi\)
0.465173 + 0.885220i \(0.345992\pi\)
\(720\) 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
\(731\) −22.4248 + 15.1039i −0.829413 + 0.558637i
\(732\) −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 −0.0654568 0.997855i \(-0.520850\pi\)
0.630731 + 0.776002i \(0.282755\pi\)
\(744\) 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
\(748\) 5.55721 16.4222i 0.203192 0.600455i
\(749\) 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 −0.460776 0.887517i \(-0.652429\pi\)
0.919469 + 0.393163i \(0.128619\pi\)
\(752\) −2.58649