Properties

Label 354.2.e.c.79.3
Level 354
Weight 2
Character 354.79
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 79.3
Character \(\chi\) = 354.79
Dual form 354.2.e.c.121.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.907575 + 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(1.95481 - 1.17617i) q^{5} +(0.994138 + 0.108119i) q^{6} +(0.00134066 + 0.0247270i) q^{7} +(0.267528 + 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +O(q^{10})\) \(q+(0.907575 + 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(1.95481 - 1.17617i) q^{5} +(0.994138 + 0.108119i) q^{6} +(0.00134066 + 0.0247270i) q^{7} +(0.267528 + 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +(2.26799 - 0.246659i) q^{10} +(-0.227575 - 1.38814i) q^{11} +(0.856857 + 0.515554i) q^{12} +(-4.57419 - 3.47721i) q^{13} +(-0.00916584 + 0.0230045i) q^{14} +(1.47693 - 1.73877i) q^{15} +(-0.161782 + 0.986827i) q^{16} +(-0.409163 + 7.54657i) q^{17} +(0.976621 - 0.214970i) q^{18} +(3.23236 + 3.06186i) q^{19} +(2.16195 + 0.728444i) q^{20} +(0.00916584 + 0.0230045i) q^{21} +(0.376325 - 1.35540i) q^{22} +(-7.40499 - 1.62996i) q^{23} +(0.561187 + 0.827689i) q^{24} +(0.0958550 - 0.180802i) q^{25} +(-2.69138 - 5.07649i) q^{26} +(0.561187 - 0.827689i) q^{27} +(-0.0179780 + 0.0170297i) q^{28} +(4.18650 - 1.93688i) q^{29} +(2.07051 - 0.957922i) q^{30} +(7.48442 - 7.08962i) q^{31} +(-0.561187 + 0.827689i) q^{32} +(-0.658898 - 1.24281i) q^{33} +(-3.54007 + 6.67728i) q^{34} +(0.0317038 + 0.0467596i) q^{35} +(0.976621 + 0.214970i) q^{36} +(-2.90855 + 10.4757i) q^{37} +(1.64797 + 4.13610i) q^{38} +(-5.44503 - 1.83464i) q^{39} +(1.65626 + 1.56890i) q^{40} +(-9.28422 + 2.04361i) q^{41} +(-0.00134066 + 0.0247270i) q^{42} +(-0.628136 + 3.83146i) q^{43} +(0.910662 - 1.07211i) q^{44} +(0.844421 - 2.11934i) q^{45} +(-6.03619 - 4.58859i) q^{46} +(-4.50656 - 2.71151i) q^{47} +(0.161782 + 0.986827i) q^{48} +(6.95836 - 0.756767i) q^{49} +(0.162912 - 0.123843i) q^{50} +(2.02189 + 7.28218i) q^{51} +(-0.311072 - 5.73738i) q^{52} +(0.345271 + 0.0375504i) q^{53} +(0.856857 - 0.515554i) q^{54} +(-2.07755 - 2.44589i) q^{55} +(-0.0234670 + 0.00790696i) q^{56} +(4.04081 + 1.86948i) q^{57} +4.61284 q^{58} +(-6.76228 - 3.64302i) q^{59} +2.28137 q^{60} +(4.08821 + 1.89141i) q^{61} +(9.76953 - 3.29174i) q^{62} +(0.0160314 + 0.0188736i) q^{63} +(-0.856857 + 0.515554i) q^{64} +(-13.0315 - 1.41726i) q^{65} +(-0.0761558 - 1.40461i) q^{66} +(-2.98122 - 10.7374i) q^{67} +(-6.01660 + 4.57370i) q^{68} +(-7.53782 + 0.819787i) q^{69} +(0.00913974 + 0.0557500i) q^{70} +(-7.98287 - 4.80314i) q^{71} +(0.796093 + 0.605174i) q^{72} +(1.26222 - 3.16792i) q^{73} +(-7.03834 + 8.28618i) q^{74} +(0.0331070 - 0.201944i) q^{75} +(-0.241044 + 4.44579i) q^{76} +(0.0340195 - 0.00748826i) q^{77} +(-4.17143 - 3.95139i) q^{78} +(-1.81302 - 0.610877i) q^{79} +(0.844421 + 2.11934i) q^{80} +(0.267528 - 0.963550i) q^{81} +(-9.28422 - 2.04361i) q^{82} +(5.95128 + 8.77749i) q^{83} +(-0.0115993 + 0.0218787i) q^{84} +(8.07620 + 15.2333i) q^{85} +(-2.17887 + 3.21359i) q^{86} +(3.34890 - 3.17225i) q^{87} +(1.27666 - 0.590647i) q^{88} +(-2.80941 + 1.29977i) q^{89} +(1.65626 - 1.56890i) q^{90} +(0.0798485 - 0.117768i) q^{91} +(-3.55160 - 6.69902i) q^{92} +(4.82891 - 9.10829i) q^{93} +(-2.95151 - 4.35315i) q^{94} +(9.91990 + 2.18354i) q^{95} +(-0.267528 + 0.963550i) q^{96} +(-1.58586 - 3.98022i) q^{97} +(6.63299 + 2.23491i) q^{98} +(-1.02124 - 0.967369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{4}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.907575 + 0.419889i 0.641753 + 0.296906i
\(3\) 0.947653 0.319302i 0.547128 0.184349i
\(4\) 0.647386 + 0.762162i 0.323693 + 0.381081i
\(5\) 1.95481 1.17617i 0.874216 0.525998i −0.00631865 0.999980i \(-0.502011\pi\)
0.880535 + 0.473982i \(0.157184\pi\)
\(6\) 0.994138 + 0.108119i 0.405855 + 0.0441394i
\(7\) 0.00134066 + 0.0247270i 0.000506721 + 0.00934592i 0.998776 0.0494654i \(-0.0157517\pi\)
−0.998269 + 0.0588113i \(0.981269\pi\)
\(8\) 0.267528 + 0.963550i 0.0945856 + 0.340666i
\(9\) 0.796093 0.605174i 0.265364 0.201725i
\(10\) 2.26799 0.246659i 0.717203 0.0780005i
\(11\) −0.227575 1.38814i −0.0686163 0.418541i −0.998690 0.0511681i \(-0.983706\pi\)
0.930074 0.367373i \(-0.119743\pi\)
\(12\) 0.856857 + 0.515554i 0.247353 + 0.148828i
\(13\) −4.57419 3.47721i −1.26865 0.964405i −0.999999 0.00116846i \(-0.999628\pi\)
−0.268654 0.963237i \(-0.586579\pi\)
\(14\) −0.00916584 + 0.0230045i −0.00244967 + 0.00614822i
\(15\) 1.47693 1.73877i 0.381341 0.448949i
\(16\) −0.161782 + 0.986827i −0.0404455 + 0.246707i
\(17\) −0.409163 + 7.54657i −0.0992367 + 1.83031i 0.349829 + 0.936814i \(0.386240\pi\)
−0.449066 + 0.893499i \(0.648243\pi\)
\(18\) 0.976621 0.214970i 0.230192 0.0506690i
\(19\) 3.23236 + 3.06186i 0.741555 + 0.702438i 0.962027 0.272955i \(-0.0880011\pi\)
−0.220472 + 0.975393i \(0.570760\pi\)
\(20\) 2.16195 + 0.728444i 0.483426 + 0.162885i
\(21\) 0.00916584 + 0.0230045i 0.00200015 + 0.00502000i
\(22\) 0.376325 1.35540i 0.0802328 0.288972i
\(23\) −7.40499 1.62996i −1.54405 0.339871i −0.640364 0.768071i \(-0.721217\pi\)
−0.903684 + 0.428201i \(0.859148\pi\)
\(24\) 0.561187 + 0.827689i 0.114552 + 0.168951i
\(25\) 0.0958550 0.180802i 0.0191710 0.0361603i
\(26\) −2.69138 5.07649i −0.527824 0.995581i
\(27\) 0.561187 0.827689i 0.108001 0.159289i
\(28\) −0.0179780 + 0.0170297i −0.00339753 + 0.00321831i
\(29\) 4.18650 1.93688i 0.777414 0.359670i 0.00927836 0.999957i \(-0.497047\pi\)
0.768136 + 0.640287i \(0.221184\pi\)
\(30\) 2.07051 0.957922i 0.378022 0.174892i
\(31\) 7.48442 7.08962i 1.34424 1.27333i 0.412148 0.911117i \(-0.364779\pi\)
0.932094 0.362217i \(-0.117980\pi\)
\(32\) −0.561187 + 0.827689i −0.0992048 + 0.146316i
\(33\) −0.658898 1.24281i −0.114699 0.216346i
\(34\) −3.54007 + 6.67728i −0.607117 + 1.14514i
\(35\) 0.0317038 + 0.0467596i 0.00535892 + 0.00790382i
\(36\) 0.976621 + 0.214970i 0.162770 + 0.0358284i
\(37\) −2.90855 + 10.4757i −0.478163 + 1.72219i 0.193292 + 0.981141i \(0.438083\pi\)
−0.671455 + 0.741045i \(0.734330\pi\)
\(38\) 1.64797 + 4.13610i 0.267336 + 0.670964i
\(39\) −5.44503 1.83464i −0.871902 0.293778i
\(40\) 1.65626 + 1.56890i 0.261878 + 0.248064i
\(41\) −9.28422 + 2.04361i −1.44995 + 0.319158i −0.869013 0.494789i \(-0.835245\pi\)
−0.580938 + 0.813948i \(0.697314\pi\)
\(42\) −0.00134066 + 0.0247270i −0.000206868 + 0.00381546i
\(43\) −0.628136 + 3.83146i −0.0957898 + 0.584292i 0.894696 + 0.446676i \(0.147392\pi\)
−0.990486 + 0.137616i \(0.956056\pi\)
\(44\) 0.910662 1.07211i 0.137287 0.161627i
\(45\) 0.844421 2.11934i 0.125879 0.315932i
\(46\) −6.03619 4.58859i −0.889987 0.676551i
\(47\) −4.50656 2.71151i −0.657349 0.395514i 0.147443 0.989071i \(-0.452896\pi\)
−0.804792 + 0.593557i \(0.797723\pi\)
\(48\) 0.161782 + 0.986827i 0.0233512 + 0.142436i
\(49\) 6.95836 0.756767i 0.994051 0.108110i
\(50\) 0.162912 0.123843i 0.0230393 0.0175140i
\(51\) 2.02189 + 7.28218i 0.283121 + 1.01971i
\(52\) −0.311072 5.73738i −0.0431379 0.795631i
\(53\) 0.345271 + 0.0375504i 0.0474266 + 0.00515795i 0.131802 0.991276i \(-0.457924\pi\)
−0.0843750 + 0.996434i \(0.526889\pi\)
\(54\) 0.856857 0.515554i 0.116603 0.0701580i
\(55\) −2.07755 2.44589i −0.280137 0.329803i
\(56\) −0.0234670 + 0.00790696i −0.00313591 + 0.00105661i
\(57\) 4.04081 + 1.86948i 0.535219 + 0.247619i
\(58\) 4.61284 0.605696
\(59\) −6.76228 3.64302i −0.880374 0.474280i
\(60\) 2.28137 0.294523
\(61\) 4.08821 + 1.89141i 0.523442 + 0.242170i 0.663772 0.747935i \(-0.268954\pi\)
−0.140330 + 0.990105i \(0.544816\pi\)
\(62\) 9.76953 3.29174i 1.24073 0.418051i
\(63\) 0.0160314 + 0.0188736i 0.00201977 + 0.00237786i
\(64\) −0.856857 + 0.515554i −0.107107 + 0.0644442i
\(65\) −13.0315 1.41726i −1.61635 0.175789i
\(66\) −0.0761558 1.40461i −0.00937413 0.172896i
\(67\) −2.98122 10.7374i −0.364214 1.31178i −0.887966 0.459910i \(-0.847882\pi\)
0.523752 0.851871i \(-0.324532\pi\)
\(68\) −6.01660 + 4.57370i −0.729620 + 0.554642i
\(69\) −7.53782 + 0.819787i −0.907446 + 0.0986907i
\(70\) 0.00913974 + 0.0557500i 0.00109241 + 0.00666339i
\(71\) −7.98287 4.80314i −0.947393 0.570027i −0.0440886 0.999028i \(-0.514038\pi\)
−0.903304 + 0.429000i \(0.858866\pi\)
\(72\) 0.796093 + 0.605174i 0.0938205 + 0.0713205i
\(73\) 1.26222 3.16792i 0.147731 0.370778i −0.836425 0.548082i \(-0.815358\pi\)
0.984156 + 0.177304i \(0.0567376\pi\)
\(74\) −7.03834 + 8.28618i −0.818191 + 0.963248i
\(75\) 0.0331070 0.201944i 0.00382287 0.0233185i
\(76\) −0.241044 + 4.44579i −0.0276496 + 0.509967i
\(77\) 0.0340195 0.00748826i 0.00387688 0.000853366i
\(78\) −4.17143 3.95139i −0.472321 0.447406i
\(79\) −1.81302 0.610877i −0.203980 0.0687290i 0.215457 0.976513i \(-0.430876\pi\)
−0.419437 + 0.907784i \(0.637773\pi\)
\(80\) 0.844421 + 2.11934i 0.0944092 + 0.236949i
\(81\) 0.267528 0.963550i 0.0297254 0.107061i
\(82\) −9.28422 2.04361i −1.02527 0.225679i
\(83\) 5.95128 + 8.77749i 0.653238 + 0.963454i 0.999678 + 0.0253821i \(0.00808024\pi\)
−0.346440 + 0.938072i \(0.612609\pi\)
\(84\) −0.0115993 + 0.0218787i −0.00126559 + 0.00238716i
\(85\) 8.07620 + 15.2333i 0.875987 + 1.65229i
\(86\) −2.17887 + 3.21359i −0.234953 + 0.346530i
\(87\) 3.34890 3.17225i 0.359040 0.340101i
\(88\) 1.27666 0.590647i 0.136093 0.0629632i
\(89\) −2.80941 + 1.29977i −0.297797 + 0.137775i −0.563098 0.826390i \(-0.690391\pi\)
0.265301 + 0.964166i \(0.414529\pi\)
\(90\) 1.65626 1.56890i 0.174585 0.165376i
\(91\) 0.0798485 0.117768i 0.00837040 0.0123454i
\(92\) −3.55160 6.69902i −0.370279 0.698421i
\(93\) 4.82891 9.10829i 0.500735 0.944486i
\(94\) −2.95151 4.35315i −0.304425 0.448993i
\(95\) 9.91990 + 2.18354i 1.01776 + 0.224026i
\(96\) −0.267528 + 0.963550i −0.0273045 + 0.0983419i
\(97\) −1.58586 3.98022i −0.161020 0.404130i 0.826224 0.563341i \(-0.190484\pi\)
−0.987245 + 0.159211i \(0.949105\pi\)
\(98\) 6.63299 + 2.23491i 0.670033 + 0.225760i
\(99\) −1.02124 0.967369i −0.102638 0.0972242i
\(100\) 0.199855 0.0439915i 0.0199855 0.00439915i
\(101\) 0.453650 8.36709i 0.0451399 0.832557i −0.885054 0.465488i \(-0.845879\pi\)
0.930194 0.367068i \(-0.119638\pi\)
\(102\) −1.22269 + 7.45809i −0.121065 + 0.738461i
\(103\) −4.15882 + 4.89615i −0.409781 + 0.482432i −0.927875 0.372892i \(-0.878366\pi\)
0.518094 + 0.855324i \(0.326642\pi\)
\(104\) 2.12674 5.33772i 0.208544 0.523406i
\(105\) 0.0449746 + 0.0341888i 0.00438907 + 0.00333649i
\(106\) 0.297592 + 0.179055i 0.0289047 + 0.0173914i
\(107\) −0.928588 5.66414i −0.0897700 0.547573i −0.992971 0.118356i \(-0.962238\pi\)
0.903201 0.429217i \(-0.141211\pi\)
\(108\) 0.994138 0.108119i 0.0956610 0.0104038i
\(109\) 9.84433 7.48346i 0.942916 0.716786i −0.0161797 0.999869i \(-0.505150\pi\)
0.959095 + 0.283083i \(0.0913573\pi\)
\(110\) −0.858536 3.09217i −0.0818582 0.294827i
\(111\) 0.588595 + 10.8560i 0.0558669 + 1.03040i
\(112\) −0.0246181 0.00267738i −0.00232619 0.000252989i
\(113\) −4.19821 + 2.52598i −0.394935 + 0.237624i −0.699144 0.714981i \(-0.746435\pi\)
0.304209 + 0.952605i \(0.401608\pi\)
\(114\) 2.88237 + 3.39339i 0.269959 + 0.317820i
\(115\) −16.3924 + 5.52326i −1.52860 + 0.515046i
\(116\) 4.18650 + 1.93688i 0.388707 + 0.179835i
\(117\) −5.74580 −0.531200
\(118\) −4.60762 6.14572i −0.424165 0.565759i
\(119\) −0.187152 −0.0171562
\(120\) 2.07051 + 0.957922i 0.189011 + 0.0874459i
\(121\) 8.54903 2.88050i 0.777185 0.261864i
\(122\) 2.91618 + 3.43319i 0.264019 + 0.310827i
\(123\) −8.14569 + 4.90110i −0.734472 + 0.441917i
\(124\) 10.2488 + 1.11462i 0.920365 + 0.100096i
\(125\) 0.592279 + 10.9239i 0.0529750 + 0.977067i
\(126\) 0.00662488 + 0.0238607i 0.000590191 + 0.00212568i
\(127\) 12.0935 9.19328i 1.07313 0.815771i 0.0895018 0.995987i \(-0.471473\pi\)
0.983627 + 0.180215i \(0.0576794\pi\)
\(128\) −0.994138 + 0.108119i −0.0878702 + 0.00955646i
\(129\) 0.628136 + 3.83146i 0.0553043 + 0.337341i
\(130\) −11.2319 6.75803i −0.985106 0.592719i
\(131\) 7.75016 + 5.89152i 0.677135 + 0.514744i 0.886286 0.463139i \(-0.153277\pi\)
−0.209151 + 0.977883i \(0.567070\pi\)
\(132\) 0.520664 1.30677i 0.0453180 0.113740i
\(133\) −0.0713769 + 0.0840314i −0.00618917 + 0.00728645i
\(134\) 1.80283 10.9968i 0.155741 0.949976i
\(135\) 0.123511 2.27802i 0.0106301 0.196061i
\(136\) −7.38096 + 1.62467i −0.632912 + 0.139315i
\(137\) 2.11672 + 2.00506i 0.180843 + 0.171304i 0.772766 0.634691i \(-0.218872\pi\)
−0.591923 + 0.805995i \(0.701631\pi\)
\(138\) −7.18536 2.42103i −0.611658 0.206092i
\(139\) −1.99625 5.01021i −0.169320 0.424960i 0.819691 0.572806i \(-0.194145\pi\)
−0.989010 + 0.147846i \(0.952766\pi\)
\(140\) −0.0151138 + 0.0544350i −0.00127735 + 0.00460059i
\(141\) −5.13644 1.13062i −0.432567 0.0952151i
\(142\) −5.22828 7.71113i −0.438747 0.647104i
\(143\) −3.78590 + 7.14096i −0.316593 + 0.597157i
\(144\) 0.468408 + 0.883512i 0.0390340 + 0.0736260i
\(145\) 5.90571 8.71026i 0.490442 0.723348i
\(146\) 2.47573 2.34514i 0.204893 0.194085i
\(147\) 6.35247 2.93897i 0.523943 0.242402i
\(148\) −9.86710 + 4.56501i −0.811071 + 0.375241i
\(149\) −12.0146 + 11.3808i −0.984271 + 0.932351i −0.997715 0.0675584i \(-0.978479\pi\)
0.0134441 + 0.999910i \(0.495720\pi\)
\(150\) 0.114841 0.169378i 0.00937674 0.0138297i
\(151\) 0.390522 + 0.736603i 0.0317803 + 0.0599439i 0.898894 0.438167i \(-0.144372\pi\)
−0.867113 + 0.498111i \(0.834027\pi\)
\(152\) −2.08550 + 3.93368i −0.169157 + 0.319063i
\(153\) 4.24126 + 6.25539i 0.342885 + 0.505718i
\(154\) 0.0340195 + 0.00748826i 0.00274137 + 0.000603421i
\(155\) 6.29201 22.6618i 0.505386 1.82024i
\(156\) −2.12674 5.33772i −0.170276 0.427359i
\(157\) 19.4262 + 6.54546i 1.55038 + 0.522385i 0.958854 0.283899i \(-0.0916281\pi\)
0.591529 + 0.806284i \(0.298525\pi\)
\(158\) −1.38895 1.31568i −0.110499 0.104670i
\(159\) 0.339187 0.0746606i 0.0268993 0.00592097i
\(160\) −0.123511 + 2.27802i −0.00976438 + 0.180093i
\(161\) 0.0303765 0.185288i 0.00239400 0.0146028i
\(162\) 0.647386 0.762162i 0.0508635 0.0598811i
\(163\) 5.06557 12.7136i 0.396766 0.995808i −0.585893 0.810388i \(-0.699256\pi\)
0.982659 0.185419i \(-0.0593644\pi\)
\(164\) −7.56804 5.75307i −0.590964 0.449239i
\(165\) −2.74978 1.65449i −0.214070 0.128801i
\(166\) 1.71567 + 10.4651i 0.133162 + 0.812250i
\(167\) 14.9527 1.62621i 1.15708 0.125840i 0.490613 0.871378i \(-0.336773\pi\)
0.666463 + 0.745538i \(0.267807\pi\)
\(168\) −0.0197139 + 0.0149861i −0.00152096 + 0.00115620i
\(169\) 5.35438 + 19.2847i 0.411876 + 1.48344i
\(170\) 0.933452 + 17.2165i 0.0715925 + 1.32045i
\(171\) 4.42622 + 0.481380i 0.338481 + 0.0368121i
\(172\) −3.32684 + 2.00169i −0.253669 + 0.152628i
\(173\) 3.63673 + 4.28150i 0.276496 + 0.325516i 0.882829 0.469695i \(-0.155636\pi\)
−0.606333 + 0.795211i \(0.707360\pi\)
\(174\) 4.37138 1.47289i 0.331393 0.111659i
\(175\) 0.00459919 + 0.00212781i 0.000347666 + 0.000160847i
\(176\) 1.40667 0.106032
\(177\) −7.57152 1.29311i −0.569110 0.0971961i
\(178\) −3.09551 −0.232018
\(179\) −2.15208 0.995659i −0.160854 0.0744190i 0.337810 0.941214i \(-0.390314\pi\)
−0.498664 + 0.866795i \(0.666176\pi\)
\(180\) 2.16195 0.728444i 0.161142 0.0542950i
\(181\) 2.90897 + 3.42470i 0.216222 + 0.254556i 0.859570 0.511017i \(-0.170731\pi\)
−0.643348 + 0.765573i \(0.722455\pi\)
\(182\) 0.121918 0.0733556i 0.00903716 0.00543748i
\(183\) 4.47814 + 0.487027i 0.331034 + 0.0360021i
\(184\) −0.410495 7.57114i −0.0302621 0.558152i
\(185\) 6.63547 + 23.8988i 0.487850 + 1.75708i
\(186\) 8.20707 6.23885i 0.601772 0.457455i
\(187\) 10.5688 1.14943i 0.772870 0.0840547i
\(188\) −0.850877 5.19012i −0.0620566 0.378529i
\(189\) 0.0212186 + 0.0127668i 0.00154343 + 0.000928649i
\(190\) 8.08621 + 6.14698i 0.586636 + 0.445949i
\(191\) 7.53653 18.9153i 0.545324 1.36866i −0.355581 0.934646i \(-0.615717\pi\)
0.900905 0.434016i \(-0.142904\pi\)
\(192\) −0.647386 + 0.762162i −0.0467211 + 0.0550043i
\(193\) −2.65513 + 16.1956i −0.191120 + 1.16578i 0.700722 + 0.713435i \(0.252861\pi\)
−0.891842 + 0.452347i \(0.850587\pi\)
\(194\) 0.231959 4.27824i 0.0166537 0.307160i
\(195\) −12.8018 + 2.81790i −0.916758 + 0.201794i
\(196\) 5.08152 + 4.81347i 0.362966 + 0.343820i
\(197\) 18.8389 + 6.34758i 1.34222 + 0.452246i 0.896547 0.442949i \(-0.146068\pi\)
0.445673 + 0.895196i \(0.352964\pi\)
\(198\) −0.520664 1.30677i −0.0370020 0.0928679i
\(199\) −5.08444 + 18.3125i −0.360426 + 1.29814i 0.531923 + 0.846793i \(0.321470\pi\)
−0.892349 + 0.451346i \(0.850944\pi\)
\(200\) 0.199855 + 0.0439915i 0.0141319 + 0.00311067i
\(201\) −6.25363 9.22341i −0.441097 0.650569i
\(202\) 3.92497 7.40328i 0.276160 0.520893i
\(203\) 0.0535059 + 0.100923i 0.00375538 + 0.00708340i
\(204\) −4.24126 + 6.25539i −0.296947 + 0.437965i
\(205\) −15.7452 + 14.9147i −1.09969 + 1.04169i
\(206\) −5.83028 + 2.69738i −0.406215 + 0.187935i
\(207\) −6.88148 + 3.18371i −0.478296 + 0.221283i
\(208\) 4.17143 3.95139i 0.289236 0.273979i
\(209\) 3.51469 5.18378i 0.243116 0.358570i
\(210\) 0.0264624 + 0.0499133i 0.00182608 + 0.00344434i
\(211\) 8.84482 16.6831i 0.608902 1.14851i −0.366983 0.930228i \(-0.619609\pi\)
0.975885 0.218284i \(-0.0700458\pi\)
\(212\) 0.194904 + 0.287462i 0.0133861 + 0.0197430i
\(213\) −9.09865 2.00276i −0.623429 0.137227i
\(214\) 1.53555 5.53053i 0.104968 0.378060i
\(215\) 3.27856 + 8.22855i 0.223596 + 0.561183i
\(216\) 0.947653 + 0.319302i 0.0644796 + 0.0217257i
\(217\) 0.185339 + 0.175562i 0.0125816 + 0.0119179i
\(218\) 12.0767 2.65828i 0.817937 0.180042i
\(219\) 0.184620 3.40512i 0.0124755 0.230097i
\(220\) 0.519181 3.16687i 0.0350032 0.213510i
\(221\) 28.1126 33.0967i 1.89106 2.22633i
\(222\) −4.02412 + 10.0998i −0.270081 + 0.677852i
\(223\) −4.56810 3.47258i −0.305902 0.232541i 0.440949 0.897532i \(-0.354642\pi\)
−0.746851 + 0.664991i \(0.768435\pi\)
\(224\) −0.0212186 0.0127668i −0.00141773 0.000853018i
\(225\) −0.0331070 0.201944i −0.00220714 0.0134629i
\(226\) −4.87083 + 0.529735i −0.324003 + 0.0352374i
\(227\) −9.86038 + 7.49567i −0.654457 + 0.497505i −0.878915 0.476979i \(-0.841732\pi\)
0.224458 + 0.974484i \(0.427939\pi\)
\(228\) 1.19112 + 4.29003i 0.0788839 + 0.284114i
\(229\) 0.347145 + 6.40271i 0.0229400 + 0.423103i 0.987336 + 0.158642i \(0.0507114\pi\)
−0.964396 + 0.264461i \(0.914806\pi\)
\(230\) −17.1965 1.87024i −1.13391 0.123320i
\(231\) 0.0298477 0.0179587i 0.00196383 0.00118160i
\(232\) 2.98629 + 3.51573i 0.196060 + 0.230819i
\(233\) 15.1067 5.09004i 0.989672 0.333459i 0.222523 0.974928i \(-0.428571\pi\)
0.767150 + 0.641468i \(0.221674\pi\)
\(234\) −5.21475 2.41260i −0.340899 0.157717i
\(235\) −11.9986 −0.782705
\(236\) −1.60124 7.51239i −0.104232 0.489015i
\(237\) −1.91317 −0.124273
\(238\) −0.169855 0.0785833i −0.0110101 0.00509380i
\(239\) 15.9791 5.38399i 1.03360 0.348262i 0.249160 0.968462i \(-0.419845\pi\)
0.784443 + 0.620201i \(0.212949\pi\)
\(240\) 1.47693 + 1.73877i 0.0953352 + 0.112237i
\(241\) −12.1962 + 7.33819i −0.785624 + 0.472694i −0.851000 0.525166i \(-0.824003\pi\)
0.0653756 + 0.997861i \(0.479175\pi\)
\(242\) 8.96838 + 0.975371i 0.576510 + 0.0626992i
\(243\) −0.0541389 0.998533i −0.00347301 0.0640559i
\(244\) 1.20509 + 4.34035i 0.0771482 + 0.277863i
\(245\) 12.7122 9.66353i 0.812150 0.617380i
\(246\) −9.45074 + 1.02783i −0.602557 + 0.0655321i
\(247\) −4.13873 25.2451i −0.263341 1.60631i
\(248\) 8.83350 + 5.31494i 0.560928 + 0.337499i
\(249\) 8.44242 + 6.41776i 0.535017 + 0.406709i
\(250\) −4.04930 + 10.1630i −0.256101 + 0.642764i
\(251\) −9.05523 + 10.6606i −0.571561 + 0.672894i −0.969662 0.244448i \(-0.921393\pi\)
0.398102 + 0.917341i \(0.369669\pi\)
\(252\) −0.00400625 + 0.0244371i −0.000252370 + 0.00153939i
\(253\) −0.577433 + 10.6501i −0.0363029 + 0.669568i
\(254\) 14.8360 3.26564i 0.930891 0.204905i
\(255\) 12.5175 + 11.8572i 0.783874 + 0.742525i
\(256\) −0.947653 0.319302i −0.0592283 0.0199563i
\(257\) −3.90867 9.81003i −0.243816 0.611933i 0.755236 0.655453i \(-0.227522\pi\)
−0.999053 + 0.0435200i \(0.986143\pi\)
\(258\) −1.03871 + 3.74109i −0.0646671 + 0.232910i
\(259\) −0.262931 0.0578754i −0.0163377 0.00359620i
\(260\) −7.35620 10.8496i −0.456212 0.672863i
\(261\) 2.16070 4.07550i 0.133744 0.252267i
\(262\) 4.56007 + 8.60120i 0.281722 + 0.531384i
\(263\) 2.32462 3.42856i 0.143342 0.211414i −0.749240 0.662299i \(-0.769581\pi\)
0.892582 + 0.450885i \(0.148891\pi\)
\(264\) 1.02124 0.967369i 0.0628529 0.0595374i
\(265\) 0.719103 0.332692i 0.0441741 0.0204371i
\(266\) −0.100064 + 0.0462945i −0.00613531 + 0.00283850i
\(267\) −2.24733 + 2.12878i −0.137534 + 0.130279i
\(268\) 6.25363 9.22341i 0.382001 0.563409i
\(269\) −3.58248 6.75727i −0.218427 0.411998i 0.749948 0.661497i \(-0.230079\pi\)
−0.968375 + 0.249500i \(0.919734\pi\)
\(270\) 1.06861 2.01562i 0.0650337 0.122666i
\(271\) −11.8208 17.4344i −0.718062 1.05906i −0.995165 0.0982216i \(-0.968685\pi\)
0.277103 0.960840i \(-0.410626\pi\)
\(272\) −7.38096 1.62467i −0.447537 0.0985102i
\(273\) 0.0380653 0.137099i 0.00230382 0.00829759i
\(274\) 1.07918 + 2.70853i 0.0651955 + 0.163628i
\(275\) −0.272793 0.0919146i −0.0164500 0.00554266i
\(276\) −5.50469 5.21432i −0.331343 0.313865i
\(277\) −15.4790 + 3.40718i −0.930041 + 0.204718i −0.654058 0.756445i \(-0.726935\pi\)
−0.275984 + 0.961162i \(0.589004\pi\)
\(278\) 0.291985 5.38534i 0.0175121 0.322991i
\(279\) 1.66784 10.1734i 0.0998510 0.609064i
\(280\) −0.0365736 + 0.0430577i −0.00218569 + 0.00257319i
\(281\) −5.72299 + 14.3636i −0.341405 + 0.856862i 0.653582 + 0.756856i \(0.273266\pi\)
−0.994987 + 0.100006i \(0.968114\pi\)
\(282\) −4.18698 3.18286i −0.249331 0.189536i
\(283\) 1.22830 + 0.739045i 0.0730150 + 0.0439317i 0.551593 0.834113i \(-0.314020\pi\)
−0.478578 + 0.878045i \(0.658848\pi\)
\(284\) −1.50724 9.19373i −0.0894380 0.545547i
\(285\) 10.0978 1.09821i 0.598144 0.0650521i
\(286\) −6.43440 + 4.89130i −0.380474 + 0.289229i
\(287\) −0.0629793 0.226831i −0.00371755 0.0133894i
\(288\) 0.0541389 + 0.998533i 0.00319017 + 0.0588391i
\(289\) −39.8830 4.33753i −2.34606 0.255149i
\(290\) 9.01722 5.42548i 0.529509 0.318595i
\(291\) −2.77374 3.26550i −0.162600 0.191427i
\(292\) 3.23161 1.08886i 0.189116 0.0637206i
\(293\) −24.7250 11.4390i −1.44445 0.668274i −0.467944 0.883758i \(-0.655005\pi\)
−0.976507 + 0.215484i \(0.930867\pi\)
\(294\) 6.99939 0.408213
\(295\) −17.5037 + 0.832185i −1.01911 + 0.0484517i
\(296\) −10.8719 −0.631918
\(297\) −1.27666 0.590647i −0.0740795 0.0342728i
\(298\) −15.6828 + 5.28415i −0.908480 + 0.306102i
\(299\) 28.2042 + 33.2045i 1.63109 + 1.92027i
\(300\) 0.175347 0.105503i 0.0101237 0.00609121i
\(301\) −0.0955825 0.0103952i −0.00550928 0.000599171i
\(302\) 0.0451368 + 0.832499i 0.00259733 + 0.0479049i
\(303\) −2.24172 8.07395i −0.128784 0.463836i
\(304\) −3.54446 + 2.69443i −0.203289 + 0.154536i
\(305\) 10.2163 1.11109i 0.584983 0.0636207i
\(306\) 1.22269 + 7.45809i 0.0698967 + 0.426351i
\(307\) 6.01251 + 3.61761i 0.343152 + 0.206468i 0.676689 0.736269i \(-0.263414\pi\)
−0.333536 + 0.942737i \(0.608242\pi\)
\(308\) 0.0277310 + 0.0210806i 0.00158012 + 0.00120118i
\(309\) −2.37778 + 5.96777i −0.135267 + 0.339494i
\(310\) 15.2259 17.9253i 0.864773 1.01809i
\(311\) 0.112218 0.684501i 0.00636331 0.0388145i −0.983454 0.181158i \(-0.942015\pi\)
0.989817 + 0.142343i \(0.0454638\pi\)
\(312\) 0.311072 5.73738i 0.0176110 0.324815i
\(313\) 14.5715 3.20744i 0.823632 0.181295i 0.216892 0.976196i \(-0.430408\pi\)
0.606740 + 0.794901i \(0.292477\pi\)
\(314\) 14.8824 + 14.0974i 0.839863 + 0.795561i
\(315\) 0.0535369 + 0.0180387i 0.00301646 + 0.00101636i
\(316\) −0.708136 1.77729i −0.0398357 0.0999802i
\(317\) 1.58908 5.72336i 0.0892519 0.321456i −0.905424 0.424508i \(-0.860447\pi\)
0.994676 + 0.103052i \(0.0328608\pi\)
\(318\) 0.339187 + 0.0746606i 0.0190206 + 0.00418676i
\(319\) −3.64141 5.37068i −0.203880 0.300700i
\(320\) −1.06861 + 2.01562i −0.0597372 + 0.112676i
\(321\) −2.68855 5.07114i −0.150060 0.283043i
\(322\) 0.105369 0.155408i 0.00587201 0.00866057i
\(323\) −24.4291 + 23.1405i −1.35927 + 1.28757i
\(324\) 0.907575 0.419889i 0.0504209 0.0233272i
\(325\) −1.06715 + 0.493714i −0.0591946 + 0.0273863i
\(326\) 9.93570 9.41159i 0.550287 0.521260i
\(327\) 6.93953 10.2350i 0.383757 0.565999i
\(328\) −4.45291 8.39908i −0.245871 0.463762i
\(329\) 0.0610056 0.115069i 0.00336335 0.00634395i
\(330\) −1.80093 2.65617i −0.0991379 0.146217i
\(331\) 12.1740 + 2.67970i 0.669143 + 0.147290i 0.536534 0.843879i \(-0.319733\pi\)
0.132609 + 0.991168i \(0.457664\pi\)
\(332\) −2.83709 + 10.2183i −0.155705 + 0.560800i
\(333\) 4.02412 + 10.0998i 0.220520 + 0.553464i
\(334\) 14.2535 + 4.80258i 0.779919 + 0.262785i
\(335\) −18.4567 17.4831i −1.00840 0.955204i
\(336\) −0.0241843 + 0.00532338i −0.00131936 + 0.000290414i
\(337\) −0.272259 + 5.02153i −0.0148309 + 0.273540i 0.981707 + 0.190399i \(0.0609781\pi\)
−0.996538 + 0.0831414i \(0.973505\pi\)
\(338\) −3.23795 + 19.7506i −0.176121 + 1.07429i
\(339\) −3.17190 + 3.73425i −0.172274 + 0.202817i
\(340\) −6.38185 + 16.0172i −0.346104 + 0.868656i
\(341\) −11.5447 8.77603i −0.625179 0.475249i
\(342\) 3.81500 + 2.29541i 0.206292 + 0.124122i
\(343\) 0.0560851 + 0.342104i 0.00302831 + 0.0184719i
\(344\) −3.85985 + 0.419784i −0.208109 + 0.0226332i
\(345\) −13.7708 + 10.4683i −0.741393 + 0.563592i
\(346\) 1.50286 + 5.41281i 0.0807941 + 0.290994i
\(347\) −0.179217 3.30546i −0.00962087 0.177447i −0.999394 0.0347985i \(-0.988921\pi\)
0.989773 0.142648i \(-0.0455617\pi\)
\(348\) 4.58580 + 0.498736i 0.245825 + 0.0267351i
\(349\) −13.3619 + 8.03958i −0.715246 + 0.430349i −0.826126 0.563485i \(-0.809460\pi\)
0.110881 + 0.993834i \(0.464633\pi\)
\(350\) 0.00328067 + 0.00386230i 0.000175359 + 0.000206449i
\(351\) −5.44503 + 1.83464i −0.290634 + 0.0979261i
\(352\) 1.27666 + 0.590647i 0.0680464 + 0.0314816i
\(353\) −18.1193 −0.964394 −0.482197 0.876063i \(-0.660161\pi\)
−0.482197 + 0.876063i \(0.660161\pi\)
\(354\) −6.32876 4.35279i −0.336370 0.231348i
\(355\) −21.2543 −1.12806
\(356\) −2.80941 1.29977i −0.148898 0.0688877i
\(357\) −0.177356 + 0.0597581i −0.00938665 + 0.00316273i
\(358\) −1.53511 1.80727i −0.0811331 0.0955172i
\(359\) 10.0893 6.07054i 0.532494 0.320391i −0.223787 0.974638i \(-0.571842\pi\)
0.756281 + 0.654247i \(0.227014\pi\)
\(360\) 2.26799 + 0.246659i 0.119534 + 0.0130001i
\(361\) 0.0445632 + 0.821920i 0.00234543 + 0.0432589i
\(362\) 1.20211 + 4.32962i 0.0631817 + 0.227560i
\(363\) 7.18177 5.45944i 0.376945 0.286546i
\(364\) 0.141451 0.0153837i 0.00741404 0.000806326i
\(365\) −1.25862 7.67726i −0.0658793 0.401846i
\(366\) 3.85975 + 2.32234i 0.201752 + 0.121390i
\(367\) −7.88091 5.99091i −0.411380 0.312723i 0.378935 0.925423i \(-0.376290\pi\)
−0.790316 + 0.612700i \(0.790083\pi\)
\(368\) 2.80648 7.04375i 0.146298 0.367181i
\(369\) −6.15436 + 7.24547i −0.320383 + 0.377184i
\(370\) −4.01266 + 24.4761i −0.208608 + 1.27245i
\(371\) −0.000465619 0.00858784i −2.41737e−5 0.000445858i
\(372\) 10.0682 2.21617i 0.522010 0.114903i
\(373\) −0.739577 0.700565i −0.0382939 0.0362739i 0.668313 0.743880i \(-0.267017\pi\)
−0.706607 + 0.707606i \(0.749775\pi\)
\(374\) 10.0747 + 3.39454i 0.520948 + 0.175528i
\(375\) 4.04930 + 10.1630i 0.209105 + 0.524814i
\(376\) 1.40704 5.06770i 0.0725626 0.261347i
\(377\) −25.8848 5.69768i −1.33314 0.293446i
\(378\) 0.0138968 + 0.0204963i 0.000714776 + 0.00105422i
\(379\) −16.5871 + 31.2865i −0.852021 + 1.60708i −0.0587013 + 0.998276i \(0.518696\pi\)
−0.793319 + 0.608806i \(0.791649\pi\)
\(380\) 4.75780 + 8.97416i 0.244070 + 0.460365i
\(381\) 8.52506 12.5735i 0.436752 0.644161i
\(382\) 14.7823 14.0025i 0.756328 0.716432i
\(383\) −7.88572 + 3.64832i −0.402941 + 0.186420i −0.610883 0.791721i \(-0.709186\pi\)
0.207942 + 0.978141i \(0.433323\pi\)
\(384\) −0.907575 + 0.419889i −0.0463145 + 0.0214274i
\(385\) 0.0576941 0.0546507i 0.00294036 0.00278526i
\(386\) −9.21007 + 13.5838i −0.468780 + 0.691399i
\(387\) 1.81865 + 3.43033i 0.0924470 + 0.174373i
\(388\) 2.00691 3.78543i 0.101885 0.192176i
\(389\) −10.4926 15.4754i −0.531997 0.784636i 0.462806 0.886460i \(-0.346843\pi\)
−0.994802 + 0.101823i \(0.967532\pi\)
\(390\) −12.8018 2.81790i −0.648246 0.142690i
\(391\) 15.3305 55.2154i 0.775296 2.79236i
\(392\) 2.59074 + 6.50227i 0.130852 + 0.328414i
\(393\) 9.22563 + 3.10848i 0.465372 + 0.156802i
\(394\) 14.4325 + 13.6712i 0.727098 + 0.688744i
\(395\) −4.26259 + 0.938268i −0.214474 + 0.0472094i
\(396\) 0.0761558 1.40461i 0.00382697 0.0705844i
\(397\) −1.19142 + 7.26734i −0.0597956 + 0.364737i 0.939931 + 0.341364i \(0.110889\pi\)
−0.999727 + 0.0233732i \(0.992559\pi\)
\(398\) −12.3037 + 14.4851i −0.616730 + 0.726071i
\(399\) −0.0408092 + 0.102423i −0.00204302 + 0.00512758i
\(400\) 0.162912 + 0.123843i 0.00814562 + 0.00619214i
\(401\) 22.0192 + 13.2485i 1.09959 + 0.661601i 0.945227 0.326414i \(-0.105840\pi\)
0.154362 + 0.988014i \(0.450668\pi\)
\(402\) −1.80283 10.9968i −0.0899169 0.548469i
\(403\) −58.8873 + 6.40438i −2.93339 + 0.319025i
\(404\) 6.67077 5.07098i 0.331883 0.252291i
\(405\) −0.610331 2.19821i −0.0303276 0.109230i
\(406\) 0.00618424 + 0.114062i 0.000306919 + 0.00566079i
\(407\) 15.2036 + 1.65349i 0.753615 + 0.0819606i
\(408\) −6.47583 + 3.89638i −0.320601 + 0.192899i
\(409\) −13.6120 16.0253i −0.673072 0.792401i 0.314553 0.949240i \(-0.398146\pi\)
−0.987624 + 0.156839i \(0.949870\pi\)
\(410\) −20.5525 + 6.92494i −1.01501 + 0.341998i
\(411\) 2.64613 + 1.22423i 0.130524 + 0.0603869i
\(412\) −6.42402 −0.316489
\(413\) 0.0810149 0.172095i 0.00398648 0.00846823i
\(414\) −7.58226 −0.372648
\(415\) 21.9574 + 10.1586i 1.07785 + 0.498665i
\(416\) 5.44503 1.83464i 0.266965 0.0899508i
\(417\) −3.49152 4.11053i −0.170980 0.201294i
\(418\) 5.36646 3.22889i 0.262482 0.157930i
\(419\) 23.5152 + 2.55743i 1.14879 + 0.124938i 0.662641 0.748937i \(-0.269436\pi\)
0.486149 + 0.873876i \(0.338401\pi\)
\(420\) 0.00305853 + 0.0564113i 0.000149241 + 0.00275259i
\(421\) −7.68411 27.6757i −0.374501 1.34883i −0.875432 0.483342i \(-0.839423\pi\)
0.500931 0.865487i \(-0.332991\pi\)
\(422\) 15.0324 11.4273i 0.731765 0.556273i
\(423\) −5.22858 + 0.568642i −0.254222 + 0.0276483i
\(424\) 0.0561879 + 0.342731i 0.00272873 + 0.0166445i
\(425\) 1.32521 + 0.797354i 0.0642823 + 0.0386773i
\(426\) −7.41677 5.63808i −0.359344 0.273166i
\(427\) −0.0412879 + 0.103625i −0.00199806 + 0.00501476i
\(428\) 3.71583 4.37462i 0.179612 0.211455i
\(429\) −1.30760 + 7.97600i −0.0631315 + 0.385085i
\(430\) −0.479544 + 8.84466i −0.0231257 + 0.426528i
\(431\) −4.31625 + 0.950078i −0.207906 + 0.0457637i −0.317702 0.948190i \(-0.602911\pi\)
0.109796 + 0.993954i \(0.464980\pi\)
\(432\) 0.725995 + 0.687699i 0.0349295 + 0.0330870i
\(433\) 24.2836 + 8.18210i 1.16700 + 0.393207i 0.835094 0.550107i \(-0.185413\pi\)
0.331902 + 0.943314i \(0.392310\pi\)
\(434\) 0.0944923 + 0.237158i 0.00453578 + 0.0113839i
\(435\) 2.81536 10.1400i 0.134986 0.486176i
\(436\) 12.0767 + 2.65828i 0.578369 + 0.127309i
\(437\) −18.9449 27.9417i −0.906258 1.33663i
\(438\) 1.59733 3.01288i 0.0763234 0.143961i
\(439\) 10.2851 + 19.3998i 0.490882 + 0.925902i 0.997950 + 0.0639960i \(0.0203845\pi\)
−0.507068 + 0.861906i \(0.669271\pi\)
\(440\) 1.80093 2.65617i 0.0858559 0.126628i
\(441\) 5.08152 4.81347i 0.241977 0.229213i
\(442\) 39.4113 18.2336i 1.87460 0.867284i
\(443\) −26.1395 + 12.0934i −1.24193 + 0.574576i −0.927186 0.374602i \(-0.877780\pi\)
−0.314740 + 0.949178i \(0.601917\pi\)
\(444\) −7.89297 + 7.47662i −0.374584 + 0.354825i
\(445\) −3.96310 + 5.84513i −0.187869 + 0.277086i
\(446\) −2.68779 5.06972i −0.127271 0.240058i
\(447\) −7.75173 + 14.6213i −0.366644 + 0.691564i
\(448\) −0.0138968 0.0204963i −0.000656564 0.000968359i
\(449\) −24.4599 5.38404i −1.15434 0.254088i −0.403755 0.914867i \(-0.632295\pi\)
−0.750581 + 0.660779i \(0.770226\pi\)
\(450\) 0.0547469 0.197181i 0.00258080 0.00929519i
\(451\) 4.94968 + 12.4227i 0.233071 + 0.584964i
\(452\) −4.64307 1.56443i −0.218392 0.0735848i
\(453\) 0.605278 + 0.573350i 0.0284384 + 0.0269383i
\(454\) −12.0964 + 2.66262i −0.567712 + 0.124963i
\(455\) 0.0175737 0.324128i 0.000823869 0.0151954i
\(456\) −0.720305 + 4.39366i −0.0337314 + 0.205752i
\(457\) 18.7000 22.0154i 0.874751 1.02984i −0.124541 0.992214i \(-0.539746\pi\)
0.999292 0.0376218i \(-0.0119782\pi\)
\(458\) −2.37337 + 5.95671i −0.110900 + 0.278339i
\(459\) 6.01660 + 4.57370i 0.280831 + 0.213482i
\(460\) −14.8219 8.91802i −0.691073 0.415805i
\(461\) 2.81898 + 17.1950i 0.131293 + 0.800851i 0.967581 + 0.252561i \(0.0812728\pi\)
−0.836288 + 0.548290i \(0.815279\pi\)
\(462\) 0.0346297 0.00376621i 0.00161112 0.000175220i
\(463\) 20.4635 15.5559i 0.951017 0.722945i −0.00985058 0.999951i \(-0.503136\pi\)
0.960868 + 0.277007i \(0.0893425\pi\)
\(464\) 1.23407 + 4.44471i 0.0572901 + 0.206340i
\(465\) −1.27330 23.4846i −0.0590477 1.08907i
\(466\) 15.8477 + 1.72354i 0.734131 + 0.0798416i
\(467\) −33.1176 + 19.9262i −1.53250 + 0.922074i −0.535510 + 0.844529i \(0.679881\pi\)
−0.996989 + 0.0775453i \(0.975292\pi\)
\(468\) −3.71975 4.37923i −0.171946 0.202430i
\(469\) 0.261506 0.0881117i 0.0120752 0.00406862i
\(470\) −10.8897 5.03810i −0.502303 0.232390i
\(471\) 20.4993 0.944559
\(472\) 1.70113 7.49040i 0.0783007 0.344774i
\(473\) 5.46156 0.251123
\(474\) −1.73634 0.803317i −0.0797528 0.0368976i
\(475\) 0.863427 0.290922i 0.0396167 0.0133484i
\(476\) −0.121160 0.142640i −0.00555336 0.00653792i
\(477\) 0.297592 0.179055i 0.0136258 0.00819838i
\(478\) 16.7629 + 1.82308i 0.766719 + 0.0833857i
\(479\) −1.79583 33.1221i −0.0820536 1.51339i −0.692550 0.721370i \(-0.743513\pi\)
0.610496 0.792019i \(-0.290970\pi\)
\(480\) 0.610331 + 2.19821i 0.0278577 + 0.100334i
\(481\) 49.7303 37.8040i 2.26751 1.72372i
\(482\) −14.1502 + 1.53892i −0.644522 + 0.0700960i
\(483\) −0.0303765 0.185288i −0.00138218 0.00843091i
\(484\) 7.72994 + 4.65095i 0.351361 + 0.211407i
\(485\) −7.78147 5.91532i −0.353338 0.268601i
\(486\) 0.370138 0.928977i 0.0167898 0.0421392i
\(487\) −4.82647 + 5.68216i −0.218708 + 0.257483i −0.860564 0.509342i \(-0.829889\pi\)
0.641856 + 0.766825i \(0.278165\pi\)
\(488\) −0.728754 + 4.44520i −0.0329891 + 0.201225i
\(489\) 0.740924 13.6655i 0.0335058 0.617977i
\(490\) 15.5948 3.43269i 0.704503 0.155073i
\(491\) 9.55383 + 9.04987i 0.431158 + 0.408415i 0.872260 0.489042i \(-0.162654\pi\)
−0.441102 + 0.897457i \(0.645412\pi\)
\(492\) −9.00884 3.03543i −0.406150 0.136848i
\(493\) 12.9039 + 32.3863i 0.581161 + 1.45860i
\(494\) 6.84395 24.6497i 0.307924 1.10904i
\(495\) −3.13411 0.689870i −0.140868 0.0310074i
\(496\) 5.78538 + 8.53280i 0.259771 + 0.383134i
\(497\) 0.108065 0.203832i 0.00484737 0.00914310i
\(498\) 4.96738 + 9.36948i 0.222594 + 0.419856i
\(499\) −1.19916 + 1.76863i −0.0536819 + 0.0791749i −0.853583 0.520957i \(-0.825575\pi\)
0.799901 + 0.600132i \(0.204885\pi\)
\(500\) −7.94238 + 7.52342i −0.355194 + 0.336458i
\(501\) 13.6507 6.31551i 0.609870 0.282156i
\(502\) −12.6946 + 5.87314i −0.566587 + 0.262131i
\(503\) −7.38663 + 6.99698i −0.329353 + 0.311980i −0.834451 0.551082i \(-0.814215\pi\)
0.505098 + 0.863062i \(0.331456\pi\)
\(504\) −0.0138968 + 0.0204963i −0.000619014 + 0.000912978i
\(505\) −8.95431 16.8896i −0.398461 0.751578i
\(506\) −4.99594 + 9.42334i −0.222097 + 0.418919i
\(507\) 11.2317 + 16.5656i 0.498819 + 0.735703i
\(508\) 14.8360 + 3.26564i 0.658240 + 0.144889i
\(509\) 0.336357 1.21145i 0.0149088 0.0536965i −0.955721 0.294273i \(-0.904923\pi\)
0.970630 + 0.240576i \(0.0773364\pi\)
\(510\) 6.38185 + 16.0172i 0.282593 + 0.709255i
\(511\) 0.0800254 + 0.0269637i 0.00354011 + 0.00119280i
\(512\) −0.725995 0.687699i −0.0320848 0.0303923i
\(513\) 4.34822 0.957117i 0.191979 0.0422577i
\(514\) 0.571709 10.5445i 0.0252170 0.465100i
\(515\) −2.37101 + 14.4625i −0.104479 + 0.637294i
\(516\) −2.51355 + 2.95918i −0.110653 + 0.130270i
\(517\) −2.73838 + 6.87282i −0.120434 + 0.302266i
\(518\) −0.214328 0.162928i −0.00941703 0.00715864i
\(519\) 4.81345 + 2.89616i 0.211287 + 0.127127i
\(520\) −2.12069 12.9356i −0.0929982 0.567264i
\(521\) −16.7313 + 1.81964i −0.733011 + 0.0797198i −0.467009 0.884253i \(-0.654668\pi\)
−0.266002 + 0.963972i \(0.585703\pi\)
\(522\) 3.67225 2.79157i 0.160730 0.122184i
\(523\) 6.72574 + 24.2239i 0.294096 + 1.05924i 0.951990 + 0.306128i \(0.0990337\pi\)
−0.657894 + 0.753110i \(0.728553\pi\)
\(524\) 0.527055 + 9.72097i 0.0230245 + 0.424662i
\(525\) 0.00503785 0.000547899i 0.000219870 2.39123e-5i
\(526\) 3.54938 2.13559i 0.154761 0.0931163i
\(527\) 50.4400 + 59.3825i 2.19720 + 2.58674i
\(528\) 1.33304 0.449153i 0.0580131 0.0195469i
\(529\) 31.3029 + 14.4823i 1.36100 + 0.629664i
\(530\) 0.792334 0.0344168
\(531\) −7.58806 + 1.19218i −0.329294 + 0.0517361i
\(532\) −0.110254 −0.00478012
\(533\) 49.5739 + 22.9353i 2.14728 + 0.993439i
\(534\) −2.93347 + 0.988401i −0.126944 + 0.0427723i
\(535\) −8.47719 9.98012i −0.366501 0.431478i
\(536\) 9.54845 5.74511i 0.412430 0.248151i
\(537\) −2.35734 0.256376i −0.101727 0.0110635i
\(538\) −0.414065 7.63697i −0.0178516 0.329253i
\(539\) −2.63405 9.48697i −0.113456 0.408633i
\(540\) 1.81618 1.38063i 0.0781560 0.0594126i
\(541\) 8.92571 0.970730i 0.383746 0.0417349i 0.0857870 0.996313i \(-0.472660\pi\)
0.297959 + 0.954579i \(0.403694\pi\)
\(542\) −3.40776 20.7864i −0.146376 0.892853i
\(543\) 3.85021 + 2.31659i 0.165228 + 0.0994145i
\(544\) −6.01660 4.57370i −0.257959 0.196096i
\(545\) 10.4419 26.2073i 0.447284 1.12260i
\(546\) 0.0921134 0.108444i 0.00394209 0.00464099i
\(547\) 5.08383 31.0100i 0.217369 1.32589i −0.622294 0.782783i \(-0.713799\pi\)
0.839663 0.543108i \(-0.182752\pi\)
\(548\) −0.157848 + 2.91133i −0.00674292 + 0.124366i
\(549\) 4.39923 0.968344i 0.187755 0.0413279i
\(550\) −0.208986 0.197962i −0.00891120 0.00844114i
\(551\) 19.4628 + 6.55777i 0.829141 + 0.279370i
\(552\) −2.80648 7.04375i −0.119452 0.299802i
\(553\) 0.0126745 0.0456494i 0.000538975 0.00194121i
\(554\) −15.4790 3.40718i −0.657638 0.144757i
\(555\) 13.9191 + 20.5291i 0.590831 + 0.871411i
\(556\) 2.52624 4.76500i 0.107137 0.202081i
\(557\) 17.7734 + 33.5241i 0.753082 + 1.42046i 0.902055 + 0.431622i \(0.142059\pi\)
−0.148973 + 0.988841i \(0.547597\pi\)
\(558\) 5.78538 8.53280i 0.244915 0.361222i
\(559\) 16.1960 15.3417i 0.685018 0.648884i
\(560\) −0.0512727 + 0.0237213i −0.00216667 + 0.00100241i
\(561\) 9.64858 4.46391i 0.407363 0.188466i
\(562\) −11.2252 + 10.6331i −0.473505 + 0.448528i
\(563\) −10.3547 + 15.2721i −0.436400 + 0.643642i −0.980762 0.195209i \(-0.937462\pi\)
0.544362 + 0.838851i \(0.316772\pi\)
\(564\) −2.46355 4.64675i −0.103734 0.195663i
\(565\) −5.23572 + 9.87561i −0.220268 + 0.415470i
\(566\) 0.804460 + 1.18649i 0.0338140 + 0.0498719i
\(567\) 0.0241843 + 0.00532338i 0.00101565 + 0.000223561i
\(568\) 2.49242 8.97687i 0.104579 0.376661i
\(569\) −12.0667 30.2852i −0.505863 1.26962i −0.931175 0.364573i \(-0.881215\pi\)
0.425312 0.905047i \(-0.360164\pi\)
\(570\) 9.62567 + 3.24326i 0.403175 + 0.135845i
\(571\) 11.9472 + 11.3170i 0.499973 + 0.473600i 0.895631 0.444798i \(-0.146725\pi\)
−0.395657 + 0.918398i \(0.629483\pi\)
\(572\) −7.89351 + 1.73749i −0.330044 + 0.0726482i
\(573\) 1.10234 20.3315i 0.0460511 0.849363i
\(574\) 0.0380854 0.232310i 0.00158965 0.00969645i
\(575\) −1.00451 + 1.18260i −0.0418908 + 0.0493176i
\(576\) −0.370138 + 0.928977i −0.0154224 + 0.0387074i
\(577\) −22.9455 17.4427i −0.955232 0.726148i 0.00654612 0.999979i \(-0.497916\pi\)
−0.961778 + 0.273830i \(0.911709\pi\)
\(578\) −34.3755 20.6831i −1.42983 0.860302i
\(579\) 2.65513 + 16.1956i 0.110343 + 0.673065i
\(580\) 10.4619 1.13780i 0.434407 0.0472446i
\(581\) −0.209062 + 0.158925i −0.00867336 + 0.00659331i
\(582\) −1.14623 4.12835i −0.0475128 0.171126i
\(583\) −0.0264494 0.487831i −0.00109542 0.0202039i
\(584\) 3.39013 + 0.368699i 0.140285 + 0.0152569i
\(585\) −11.2319 + 6.75803i −0.464383 + 0.279410i
\(586\) −17.6367 20.7635i −0.728566 0.857734i
\(587\) −27.6572 + 9.31880i −1.14154 + 0.384628i −0.825658 0.564172i \(-0.809196\pi\)
−0.315878 + 0.948800i \(0.602299\pi\)
\(588\) 6.35247 + 2.93897i 0.261972 + 0.121201i
\(589\) 45.8998 1.89127
\(590\) −16.2354 6.59436i −0.668401 0.271486i
\(591\) 19.8796 0.817737
\(592\) −9.86710 4.56501i −0.405535 0.187621i
\(593\) 25.2565 8.50990i 1.03716 0.349460i 0.251329 0.967902i \(-0.419132\pi\)
0.785830 + 0.618442i \(0.212236\pi\)
\(594\) −0.910662 1.07211i −0.0373649 0.0439894i
\(595\) −0.365847 + 0.220123i −0.0149983 + 0.00902415i
\(596\) −16.4521 1.78927i −0.673903 0.0732914i
\(597\) 1.02892 + 18.9774i 0.0421110 + 0.776692i
\(598\) 11.6552 + 41.9782i 0.476616 + 1.71662i
\(599\) −0.549399 + 0.417642i −0.0224478 + 0.0170644i −0.616338 0.787482i \(-0.711384\pi\)
0.593890 + 0.804546i \(0.297591\pi\)
\(600\) 0.203440 0.0221255i 0.00830541 0.000903268i
\(601\) 2.61471 + 15.9490i 0.106656 + 0.650575i 0.985001 + 0.172547i \(0.0551998\pi\)
−0.878345 + 0.478028i \(0.841352\pi\)
\(602\) −0.0823835 0.0495685i −0.00335770 0.00202026i
\(603\) −8.87132 6.74380i −0.361268 0.274629i
\(604\) −0.308592 + 0.774508i −0.0125564 + 0.0315143i
\(605\) 13.3237 15.6859i 0.541687 0.637724i
\(606\) 1.35563 8.26899i 0.0550688 0.335905i
\(607\) −0.0579983 + 1.06972i −0.00235408 + 0.0434184i −0.999474 0.0324169i \(-0.989680\pi\)
0.997120 + 0.0758353i \(0.0241623\pi\)
\(608\) −4.34822 + 0.957117i −0.176344 + 0.0388162i
\(609\) 0.0829299 + 0.0785554i 0.00336049 + 0.00318322i
\(610\) 9.73858 + 3.28131i 0.394304 + 0.132856i
\(611\) 11.1854 + 28.0732i 0.452513 + 1.13572i
\(612\) −2.02189 + 7.28218i −0.0817299 + 0.294365i
\(613\) −31.7147 6.98092i −1.28094 0.281957i −0.478184 0.878260i \(-0.658705\pi\)
−0.802759 + 0.596303i \(0.796636\pi\)
\(614\) 3.93781 + 5.80784i 0.158917 + 0.234385i
\(615\) −10.1587 + 19.1614i −0.409640 + 0.772662i
\(616\) 0.0163165 + 0.0307762i 0.000657410 + 0.00124001i
\(617\) 11.5995 17.1079i 0.466976 0.688739i −0.519160 0.854677i \(-0.673755\pi\)
0.986136 + 0.165939i \(0.0530653\pi\)
\(618\) −4.66381 + 4.41780i −0.187606 + 0.177710i
\(619\) −31.4323 + 14.5421i −1.26337 + 0.584497i −0.933177 0.359416i \(-0.882976\pi\)
−0.330193 + 0.943913i \(0.607114\pi\)
\(620\) 21.3453 9.87539i 0.857248 0.396605i
\(621\) −5.50469 + 5.21432i −0.220896 + 0.209243i
\(622\) 0.389261 0.574117i 0.0156079 0.0230200i
\(623\) −0.0359058 0.0677256i −0.00143854 0.00271337i
\(624\) 2.69138 5.07649i 0.107742 0.203222i
\(625\) 14.5804 + 21.5045i 0.583215 + 0.860178i
\(626\) 14.5715 + 3.20744i 0.582396 + 0.128195i
\(627\) 1.67552 6.03467i 0.0669138 0.241002i
\(628\) 7.58758 + 19.0434i 0.302777 + 0.759914i
\(629\) −77.8652 26.2358i −3.10469 1.04609i
\(630\) 0.0410145 + 0.0388510i 0.00163406 + 0.00154786i
\(631\) 43.0757 9.48167i 1.71481 0.377459i 0.754483 0.656319i \(-0.227888\pi\)
0.960332 + 0.278860i \(0.0899566\pi\)
\(632\) 0.103577 1.91036i 0.00412006 0.0759900i
\(633\) 3.05488 18.6339i 0.121421 0.740633i
\(634\) 3.84539 4.52715i 0.152720 0.179796i
\(635\) 12.8277 32.1951i 0.509052 1.27762i
\(636\) 0.276488 + 0.210181i 0.0109635 + 0.00833422i
\(637\) −34.4603 20.7341i −1.36537 0.821514i
\(638\) −1.04977 6.40329i −0.0415606 0.253509i
\(639\) −9.26185 + 1.00729i −0.366393 + 0.0398476i
\(640\) −1.81618 + 1.38063i −0.0717909 + 0.0545740i
\(641\) 4.14228 + 14.9191i 0.163610 + 0.589271i 0.999203 + 0.0399212i \(0.0127107\pi\)
−0.835593 + 0.549350i \(0.814876\pi\)
\(642\) −0.310744 5.73133i −0.0122641 0.226198i
\(643\) −3.83243 0.416802i −0.151136 0.0164371i 0.0322380 0.999480i \(-0.489737\pi\)
−0.183374 + 0.983043i \(0.558702\pi\)
\(644\) 0.160885 0.0968013i 0.00633976 0.00381451i
\(645\) 5.73432 + 6.75097i 0.225789 + 0.265819i
\(646\) −31.8877 + 10.7442i −1.25460 + 0.422725i
\(647\) 13.6365 + 6.30894i 0.536108 + 0.248030i 0.669211 0.743072i \(-0.266632\pi\)
−0.133103 + 0.991102i \(0.542494\pi\)
\(648\) 1.00000 0.0392837
\(649\) −3.51811 + 10.2161i −0.138098 + 0.401016i
\(650\) −1.17582 −0.0461195
\(651\) 0.231694 + 0.107193i 0.00908082 + 0.00420123i
\(652\) 12.9692 4.36984i 0.507914 0.171136i
\(653\) −7.68157 9.04345i −0.300603 0.353898i 0.591035 0.806646i \(-0.298719\pi\)
−0.891638 + 0.452748i \(0.850444\pi\)
\(654\) 10.5957 6.37524i 0.414326 0.249291i
\(655\) 22.0795 + 2.40129i 0.862717 + 0.0938261i
\(656\) −0.514670 9.49253i −0.0200945 0.370621i
\(657\) −0.912304 3.28582i −0.0355924 0.128192i
\(658\) 0.103683 0.0788180i 0.00404200 0.00307265i
\(659\) 28.9127 3.14444i 1.12628 0.122490i 0.474040 0.880504i \(-0.342795\pi\)
0.652239 + 0.758013i \(0.273830\pi\)
\(660\) −0.519181 3.16687i −0.0202091 0.123270i
\(661\) −39.5363 23.7882i −1.53778 0.925253i −0.996427 0.0844588i \(-0.973084\pi\)
−0.541355 0.840794i \(-0.682089\pi\)
\(662\) 9.92364 + 7.54375i 0.385693 + 0.293196i
\(663\) 16.0732 40.3406i 0.624230 1.56670i
\(664\) −6.86541 + 8.08259i −0.266430 + 0.313665i
\(665\) −0.0406930 + 0.248216i −0.00157801 + 0.00962542i
\(666\) −0.588595 + 10.8560i −0.0228076 + 0.420661i
\(667\) −34.1581 + 7.51876i −1.32261 + 0.291128i
\(668\) 10.9196 + 10.3436i 0.422493 + 0.400206i
\(669\) −5.43777 1.83220i −0.210236 0.0708369i
\(670\) −9.40987 23.6170i −0.363535 0.912404i
\(671\) 1.69517 6.10546i 0.0654414 0.235699i
\(672\) −0.0241843 0.00532338i −0.000932931 0.000205354i
\(673\) 17.1051 + 25.2282i 0.659354 + 0.972475i 0.999485 + 0.0320968i \(0.0102185\pi\)
−0.340130 + 0.940378i \(0.610471\pi\)
\(674\) −2.35558 + 4.44310i −0.0907336 + 0.171142i
\(675\) −0.0958550 0.180802i −0.00368946 0.00695906i
\(676\) −11.2317 + 16.5656i −0.431990 + 0.637138i
\(677\) 7.11620 6.74083i 0.273498 0.259071i −0.538641 0.842536i \(-0.681062\pi\)
0.812139 + 0.583465i \(0.198303\pi\)
\(678\) −4.44671 + 2.05727i −0.170775 + 0.0790089i
\(679\) 0.0962927 0.0445497i 0.00369537 0.00170966i
\(680\) −12.5175 + 11.8572i −0.480023 + 0.454702i
\(681\) −6.95084 + 10.2517i −0.266357 + 0.392847i
\(682\) −6.79270 12.8124i −0.260106 0.490612i
\(683\) −6.71755 + 12.6706i −0.257040 + 0.484829i −0.978125 0.208018i \(-0.933299\pi\)
0.721085 + 0.692847i \(0.243644\pi\)
\(684\) 2.49858 + 3.68513i 0.0955357 + 0.140905i
\(685\) 6.49606 + 1.42989i 0.248202 + 0.0546334i
\(686\) −0.0927443 + 0.334035i −0.00354099 + 0.0127535i
\(687\) 2.37337 + 5.95671i 0.0905497 + 0.227263i
\(688\) −3.67936 1.23972i −0.140274 0.0472640i
\(689\) −1.44876 1.37234i −0.0551935 0.0522821i
\(690\) −16.8935 + 3.71854i −0.643125 + 0.141563i
\(691\) −0.518955 + 9.57156i −0.0197420 + 0.364119i 0.971925 + 0.235291i \(0.0756044\pi\)
−0.991667 + 0.128828i \(0.958878\pi\)
\(692\) −0.908821 + 5.54356i −0.0345482 + 0.210735i
\(693\) 0.0225510 0.0265491i 0.000856641 0.00100852i
\(694\) 1.22527 3.07521i 0.0465108 0.116733i
\(695\) −9.79512 7.44606i −0.371550 0.282445i
\(696\) 3.95255 + 2.37817i 0.149821 + 0.0901443i
\(697\) −11.6235 70.9002i −0.440271 2.68554i
\(698\) −15.5027 + 1.68602i −0.586784 + 0.0638166i
\(699\) 12.6906 9.64718i 0.480004 0.364890i
\(700\) 0.00135571 + 0.00488284i 5.12412e−5 + 0.000184554i
\(701\) −0.562180 10.3688i −0.0212333 0.391624i −0.989762 0.142724i \(-0.954414\pi\)
0.968529 0.248900i \(-0.0800690\pi\)
\(702\) −5.71212 0.621231i −0.215590 0.0234468i
\(703\) −41.4764 + 24.9555i −1.56431 + 0.941216i
\(704\) 0.910662 + 1.07211i 0.0343218 + 0.0404068i
\(705\) −11.3706 + 3.83118i −0.428240 + 0.144291i
\(706\) −16.4447 7.60811i −0.618903 0.286335i
\(707\) 0.207501 0.00780388
\(708\) −3.91614 6.60786i −0.147177 0.248339i
\(709\) 17.7577 0.666906 0.333453 0.942767i \(-0.391786\pi\)
0.333453 + 0.942767i \(0.391786\pi\)
\(710\) −19.2899 8.92444i −0.723935 0.334928i
\(711\) −1.81302 + 0.610877i −0.0679935 + 0.0229097i
\(712\) −2.00399 2.35928i −0.0751027 0.0884177i
\(713\) −66.9779 + 40.2993i −2.50834 + 1.50922i
\(714\) −0.186055 0.0202347i −0.00696295 0.000757266i
\(715\) 0.998273 + 18.4121i 0.0373333 + 0.688572i
\(716\) −0.634375 2.28481i −0.0237077 0.0853874i
\(717\) 13.4236 10.2043i 0.501312 0.381087i
\(718\) 11.7058 1.27308i 0.436855 0.0475109i
\(719\) 6.50880 + 39.7019i 0.242737 + 1.48063i 0.773871 + 0.633343i \(0.218318\pi\)
−0.531134 + 0.847288i \(0.678234\pi\)
\(720\) 1.95481 + 1.17617i 0.0728513 + 0.0438332i
\(721\) −0.126642 0.0962711i −0.00471641 0.00358532i
\(722\) −0.304671 + 0.764666i −0.0113387 + 0.0284579i
\(723\) −9.21464 + 10.8483i −0.342696 + 0.403453i
\(724\) −0.726952 + 4.43421i −0.0270170 + 0.164796i
\(725\) 0.0511056 0.942587i 0.00189801 0.0350068i
\(726\) 8.81036 1.93931i 0.326983 0.0719744i
\(727\) −13.1174 12.4254i −0.486496 0.460834i 0.404702 0.914449i \(-0.367375\pi\)
−0.891198 + 0.453615i \(0.850134\pi\)
\(728\) 0.134837 + 0.0454318i 0.00499739 + 0.00168382i
\(729\) −0.370138 0.928977i −0.0137088 0.0344065i
\(730\) 2.08130 7.49617i 0.0770324 0.277446i
\(731\) −28.6574 6.30796i −1.05993 0.233308i
\(732\) 2.52789 + 3.72836i 0.0934336 + 0.137804i
\(733\) −3.79811 + 7.16399i −0.140286 + 0.264608i −0.943693 0.330823i \(-0.892674\pi\)
0.803407 + 0.595431i \(0.203019\pi\)
\(734\) −4.63700 8.74631i −0.171155 0.322832i
\(735\) 8.96113 13.2167i 0.330536 0.487505i
\(736\) 5.50469 5.21432i 0.202906 0.192202i
\(737\) −14.2266 + 6.58192i −0.524043 + 0.242448i
\(738\) −8.62784 + 3.99166i −0.317595 + 0.146935i
\(739\) −15.8139 + 14.9797i −0.581723 + 0.551037i −0.920957 0.389665i \(-0.872591\pi\)
0.339234 + 0.940702i \(0.389832\pi\)
\(740\) −13.9191 + 20.5291i −0.511675 + 0.754664i
\(741\) −11.9829 22.6021i −0.440202 0.830310i
\(742\) −0.00402853 + 0.00759860i −0.000147892 + 0.000278954i
\(743\) 0.256827 + 0.378791i 0.00942206 + 0.0138965i 0.832371 0.554219i \(-0.186983\pi\)
−0.822949 + 0.568116i \(0.807673\pi\)
\(744\) 10.0682 + 2.21617i 0.369117 + 0.0812487i
\(745\) −10.1004 + 36.3784i −0.370050 + 1.33280i
\(746\) −0.377063 0.946356i −0.0138052 0.0346486i
\(747\) 10.0497 + 3.38613i 0.367699 + 0.123892i
\(748\) 7.71817 + 7.31104i 0.282204 + 0.267318i
\(749\) 0.138812 0.0305548i 0.00507208 0.00111645i
\(750\) −0.592279 + 10.9239i −0.0216270 + 0.398886i
\(751\) −0.317358 + 1.93580i −0.0115806 + 0.0706383i −0.991985 0.126359i \(-0.959671\pi\)
0.980404 + 0.196997i \(0.0631191\pi\)
\(752\) 3.40487 4.00852i 0.124163 0.146176i
\(753\) −5.17726 + 12.9939i −0.188670 + 0.473525i
\(754\) −21.1000 16.0398i −0.768418 0.584136i
\(755\) 1.62976 + 0.980597i 0.0593132 + 0.0356876i
\(756\) 0.00400625 + 0.0244371i 0.000145706 + 0.000888768i
\(757\) 20.7993 2.26206i 0.755962 0.0822158i 0.277982 0.960586i \(-0.410335\pi\)
0.477980 + 0.878370i \(0.341369\pi\)