Properties

Label 128.3.l.a.3.6
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.6
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.77728 + 0.917214i) q^{2} +(-4.35347 + 3.57280i) q^{3} +(2.31744 - 3.26029i) q^{4} +(-6.55995 - 1.98994i) q^{5} +(4.46031 - 10.3429i) q^{6} +(-0.342193 - 1.72032i) q^{7} +(-1.12835 + 7.92003i) q^{8} +(4.43199 - 22.2811i) q^{9} +O(q^{10})\) \(q+(-1.77728 + 0.917214i) q^{2} +(-4.35347 + 3.57280i) q^{3} +(2.31744 - 3.26029i) q^{4} +(-6.55995 - 1.98994i) q^{5} +(4.46031 - 10.3429i) q^{6} +(-0.342193 - 1.72032i) q^{7} +(-1.12835 + 7.92003i) q^{8} +(4.43199 - 22.2811i) q^{9} +(13.4841 - 2.48020i) q^{10} +(1.65213 + 16.7744i) q^{11} +(1.55946 + 22.4733i) q^{12} +(1.07066 + 3.52949i) q^{13} +(2.18607 + 2.74363i) q^{14} +(35.6682 - 14.7743i) q^{15} +(-5.25896 - 15.1110i) q^{16} +(-1.32056 + 3.18812i) q^{17} +(12.5597 + 43.6648i) q^{18} +(10.9489 - 20.4839i) q^{19} +(-21.6901 + 16.7758i) q^{20} +(7.63609 + 6.26678i) q^{21} +(-18.3220 - 28.2974i) q^{22} +(18.6476 - 12.4599i) q^{23} +(-23.3844 - 38.5110i) q^{24} +(18.2864 + 12.2186i) q^{25} +(-5.14015 - 5.29086i) q^{26} +(36.4180 + 68.1332i) q^{27} +(-6.40175 - 2.87109i) q^{28} +(4.01692 - 40.7844i) q^{29} +(-49.8412 + 58.9734i) q^{30} +(-20.9177 - 20.9177i) q^{31} +(23.2067 + 22.0329i) q^{32} +(-67.1240 - 67.1240i) q^{33} +(-0.577179 - 6.87741i) q^{34} +(-1.17856 + 11.9662i) q^{35} +(-62.3720 - 66.0846i) q^{36} +(-12.4189 - 23.2341i) q^{37} +(-0.671085 + 46.4481i) q^{38} +(-17.2712 - 11.5403i) q^{39} +(23.1623 - 49.7097i) q^{40} +(-17.4220 + 11.6410i) q^{41} +(-19.3194 - 4.13388i) q^{42} +(36.4241 + 29.8925i) q^{43} +(58.5180 + 33.4872i) q^{44} +(-73.4117 + 137.344i) q^{45} +(-21.7136 + 39.2486i) q^{46} +(-12.8560 + 31.0372i) q^{47} +(76.8834 + 46.9962i) q^{48} +(42.4277 - 17.5741i) q^{49} +(-43.7071 - 4.94329i) q^{50} +(-5.64148 - 18.5975i) q^{51} +(13.9883 + 4.68872i) q^{52} +(-5.83347 - 59.2282i) q^{53} +(-127.218 - 87.6886i) q^{54} +(22.5421 - 113.327i) q^{55} +(14.0111 - 0.769050i) q^{56} +(25.5193 + 128.294i) q^{57} +(30.2689 + 76.1697i) q^{58} +(-73.1459 - 22.1886i) q^{59} +(34.4906 - 150.527i) q^{60} +(23.6854 - 19.4381i) q^{61} +(56.3626 + 17.9906i) q^{62} -39.8472 q^{63} +(-61.4536 - 17.8732i) q^{64} -25.2838i q^{65} +(180.865 + 57.7310i) q^{66} +(-15.2193 - 18.5447i) q^{67} +(7.33386 + 11.6937i) q^{68} +(-36.6650 + 120.868i) q^{69} +(-8.88090 - 22.3482i) q^{70} +(102.045 - 20.2981i) q^{71} +(171.466 + 60.2424i) q^{72} +(32.6721 + 6.49889i) q^{73} +(43.3824 + 29.9027i) q^{74} +(-123.264 + 12.1404i) q^{75} +(-41.4101 - 83.1667i) q^{76} +(28.2920 - 8.58228i) q^{77} +(41.2807 + 4.66886i) q^{78} +(12.5226 + 30.2321i) q^{79} +(4.42848 + 109.593i) q^{80} +(-213.076 - 88.2589i) q^{81} +(20.2865 - 36.6690i) q^{82} +(-112.213 - 59.9792i) q^{83} +(38.1277 - 10.3730i) q^{84} +(15.0070 - 18.2861i) q^{85} +(-92.1535 - 19.7186i) q^{86} +(128.227 + 191.905i) q^{87} +(-134.718 - 5.84249i) q^{88} +(45.5953 - 68.2382i) q^{89} +(4.49959 - 311.432i) q^{90} +(5.70548 - 3.04964i) q^{91} +(2.59171 - 89.6718i) q^{92} +(165.799 + 16.3298i) q^{93} +(-5.61899 - 66.9534i) q^{94} +(-112.586 + 112.586i) q^{95} +(-179.749 - 13.0068i) q^{96} +(-11.4769 + 11.4769i) q^{97} +(-59.2866 + 70.1494i) q^{98} +(381.074 + 37.5325i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.77728 + 0.917214i −0.888639 + 0.458607i
\(3\) −4.35347 + 3.57280i −1.45116 + 1.19093i −0.506777 + 0.862077i \(0.669163\pi\)
−0.944380 + 0.328857i \(0.893337\pi\)
\(4\) 2.31744 3.26029i 0.579360 0.815072i
\(5\) −6.55995 1.98994i −1.31199 0.397988i −0.444651 0.895704i \(-0.646672\pi\)
−0.867340 + 0.497716i \(0.834172\pi\)
\(6\) 4.46031 10.3429i 0.743385 1.72382i
\(7\) −0.342193 1.72032i −0.0488847 0.245760i 0.948615 0.316433i \(-0.102485\pi\)
−0.997500 + 0.0706730i \(0.977485\pi\)
\(8\) −1.12835 + 7.92003i −0.141044 + 0.990003i
\(9\) 4.43199 22.2811i 0.492443 2.47568i
\(10\) 13.4841 2.48020i 1.34841 0.248020i
\(11\) 1.65213 + 16.7744i 0.150194 + 1.52494i 0.714651 + 0.699481i \(0.246586\pi\)
−0.564457 + 0.825462i \(0.690914\pi\)
\(12\) 1.55946 + 22.4733i 0.129955 + 1.87278i
\(13\) 1.07066 + 3.52949i 0.0823583 + 0.271499i 0.988442 0.151600i \(-0.0484424\pi\)
−0.906084 + 0.423099i \(0.860942\pi\)
\(14\) 2.18607 + 2.74363i 0.156148 + 0.195973i
\(15\) 35.6682 14.7743i 2.37788 0.984951i
\(16\) −5.25896 15.1110i −0.328685 0.944440i
\(17\) −1.32056 + 3.18812i −0.0776800 + 0.187536i −0.957949 0.286939i \(-0.907362\pi\)
0.880269 + 0.474475i \(0.157362\pi\)
\(18\) 12.5597 + 43.6648i 0.697759 + 2.42582i
\(19\) 10.9489 20.4839i 0.576257 1.07810i −0.409876 0.912141i \(-0.634428\pi\)
0.986133 0.165959i \(-0.0530720\pi\)
\(20\) −21.6901 + 16.7758i −1.08450 + 0.838789i
\(21\) 7.63609 + 6.26678i 0.363623 + 0.298418i
\(22\) −18.3220 28.2974i −0.832818 1.28625i
\(23\) 18.6476 12.4599i 0.810766 0.541737i −0.0796825 0.996820i \(-0.525391\pi\)
0.890449 + 0.455084i \(0.150391\pi\)
\(24\) −23.3844 38.5110i −0.974351 1.60462i
\(25\) 18.2864 + 12.2186i 0.731456 + 0.488743i
\(26\) −5.14015 5.29086i −0.197698 0.203495i
\(27\) 36.4180 + 68.1332i 1.34881 + 2.52345i
\(28\) −6.40175 2.87109i −0.228634 0.102539i
\(29\) 4.01692 40.7844i 0.138514 1.40636i −0.634966 0.772540i \(-0.718986\pi\)
0.773481 0.633820i \(-0.218514\pi\)
\(30\) −49.8412 + 58.9734i −1.66137 + 1.96578i
\(31\) −20.9177 20.9177i −0.674764 0.674764i 0.284046 0.958811i \(-0.408323\pi\)
−0.958811 + 0.284046i \(0.908323\pi\)
\(32\) 23.2067 + 22.0329i 0.725209 + 0.688529i
\(33\) −67.1240 67.1240i −2.03406 2.03406i
\(34\) −0.577179 6.87741i −0.0169758 0.202277i
\(35\) −1.17856 + 11.9662i −0.0336733 + 0.341891i
\(36\) −62.3720 66.0846i −1.73255 1.83568i
\(37\) −12.4189 23.2341i −0.335645 0.627948i 0.656316 0.754486i \(-0.272114\pi\)
−0.991962 + 0.126537i \(0.959614\pi\)
\(38\) −0.671085 + 46.4481i −0.0176601 + 1.22232i
\(39\) −17.2712 11.5403i −0.442852 0.295904i
\(40\) 23.1623 49.7097i 0.579058 1.24274i
\(41\) −17.4220 + 11.6410i −0.424927 + 0.283927i −0.749590 0.661903i \(-0.769749\pi\)
0.324663 + 0.945830i \(0.394749\pi\)
\(42\) −19.3194 4.13388i −0.459987 0.0984258i
\(43\) 36.4241 + 29.8925i 0.847071 + 0.695173i 0.954232 0.299068i \(-0.0966759\pi\)
−0.107161 + 0.994242i \(0.534176\pi\)
\(44\) 58.5180 + 33.4872i 1.32996 + 0.761072i
\(45\) −73.4117 + 137.344i −1.63137 + 3.05208i
\(46\) −21.7136 + 39.2486i −0.472035 + 0.853231i
\(47\) −12.8560 + 31.0372i −0.273532 + 0.660365i −0.999629 0.0272271i \(-0.991332\pi\)
0.726097 + 0.687592i \(0.241332\pi\)
\(48\) 76.8834 + 46.9962i 1.60174 + 0.979088i
\(49\) 42.4277 17.5741i 0.865871 0.358656i
\(50\) −43.7071 4.94329i −0.874141 0.0988657i
\(51\) −5.64148 18.5975i −0.110617 0.364656i
\(52\) 13.9883 + 4.68872i 0.269006 + 0.0901676i
\(53\) −5.83347 59.2282i −0.110065 1.11751i −0.878552 0.477647i \(-0.841490\pi\)
0.768487 0.639866i \(-0.221010\pi\)
\(54\) −127.218 87.6886i −2.35588 1.62386i
\(55\) 22.5421 113.327i 0.409856 2.06049i
\(56\) 14.0111 0.769050i 0.250198 0.0137330i
\(57\) 25.5193 + 128.294i 0.447707 + 2.25078i
\(58\) 30.2689 + 76.1697i 0.521877 + 1.31327i
\(59\) −73.1459 22.1886i −1.23976 0.376078i −0.398733 0.917067i \(-0.630550\pi\)
−0.841029 + 0.540990i \(0.818050\pi\)
\(60\) 34.4906 150.527i 0.574843 2.50879i
\(61\) 23.6854 19.4381i 0.388285 0.318657i −0.419917 0.907562i \(-0.637941\pi\)
0.808202 + 0.588905i \(0.200441\pi\)
\(62\) 56.3626 + 17.9906i 0.909074 + 0.290171i
\(63\) −39.8472 −0.632496
\(64\) −61.4536 17.8732i −0.960213 0.279268i
\(65\) 25.2838i 0.388982i
\(66\) 180.865 + 57.7310i 2.74038 + 0.874713i
\(67\) −15.2193 18.5447i −0.227153 0.276787i 0.646944 0.762537i \(-0.276047\pi\)
−0.874098 + 0.485750i \(0.838547\pi\)
\(68\) 7.33386 + 11.6937i 0.107851 + 0.171966i
\(69\) −36.6650 + 120.868i −0.531377 + 1.75171i
\(70\) −8.88090 22.3482i −0.126870 0.319260i
\(71\) 102.045 20.2981i 1.43726 0.285888i 0.585861 0.810412i \(-0.300756\pi\)
0.851396 + 0.524523i \(0.175756\pi\)
\(72\) 171.466 + 60.2424i 2.38147 + 0.836700i
\(73\) 32.6721 + 6.49889i 0.447563 + 0.0890259i 0.413726 0.910401i \(-0.364227\pi\)
0.0338373 + 0.999427i \(0.489227\pi\)
\(74\) 43.3824 + 29.9027i 0.586249 + 0.404090i
\(75\) −123.264 + 12.1404i −1.64352 + 0.161872i
\(76\) −41.4101 83.1667i −0.544870 1.09430i
\(77\) 28.2920 8.58228i 0.367428 0.111458i
\(78\) 41.2807 + 4.66886i 0.529240 + 0.0598572i
\(79\) 12.5226 + 30.2321i 0.158513 + 0.382685i 0.983105 0.183044i \(-0.0585949\pi\)
−0.824591 + 0.565729i \(0.808595\pi\)
\(80\) 4.42848 + 109.593i 0.0553559 + 1.36991i
\(81\) −213.076 88.2589i −2.63057 1.08962i
\(82\) 20.2865 36.6690i 0.247396 0.447183i
\(83\) −112.213 59.9792i −1.35197 0.722641i −0.373225 0.927741i \(-0.621748\pi\)
−0.978741 + 0.205099i \(0.934248\pi\)
\(84\) 38.1277 10.3730i 0.453901 0.123488i
\(85\) 15.0070 18.2861i 0.176553 0.215130i
\(86\) −92.1535 19.7186i −1.07155 0.229286i
\(87\) 128.227 + 191.905i 1.47388 + 2.20581i
\(88\) −134.718 5.84249i −1.53088 0.0663919i
\(89\) 45.5953 68.2382i 0.512307 0.766721i −0.481665 0.876355i \(-0.659968\pi\)
0.993972 + 0.109634i \(0.0349678\pi\)
\(90\) 4.49959 311.432i 0.0499955 3.46036i
\(91\) 5.70548 3.04964i 0.0626976 0.0335126i
\(92\) 2.59171 89.6718i 0.0281707 0.974693i
\(93\) 165.799 + 16.3298i 1.78279 + 0.175589i
\(94\) −5.61899 66.9534i −0.0597765 0.712270i
\(95\) −112.586 + 112.586i −1.18511 + 1.18511i
\(96\) −179.749 13.0068i −1.87238 0.135488i
\(97\) −11.4769 + 11.4769i −0.118319 + 0.118319i −0.763787 0.645468i \(-0.776662\pi\)
0.645468 + 0.763787i \(0.276662\pi\)
\(98\) −59.2866 + 70.1494i −0.604965 + 0.715810i
\(99\) 381.074 + 37.5325i 3.84923 + 0.379116i
\(100\) 82.2137 31.3031i 0.822137 0.313031i
\(101\) 57.4950 30.7317i 0.569258 0.304275i −0.161543 0.986866i \(-0.551647\pi\)
0.730801 + 0.682591i \(0.239147\pi\)
\(102\) 27.0843 + 27.8784i 0.265533 + 0.273318i
\(103\) 6.89656 10.3214i 0.0669569 0.100208i −0.796480 0.604665i \(-0.793307\pi\)
0.863437 + 0.504457i \(0.168307\pi\)
\(104\) −29.1617 + 4.49714i −0.280401 + 0.0432417i
\(105\) −37.6219 56.3052i −0.358304 0.536240i
\(106\) 64.6926 + 99.9144i 0.610307 + 0.942589i
\(107\) −86.1056 + 104.920i −0.804725 + 0.980560i −1.00000 0.000188102i \(-0.999940\pi\)
0.195275 + 0.980749i \(0.437440\pi\)
\(108\) 306.530 + 39.1615i 2.83824 + 0.362606i
\(109\) 45.4206 + 24.2778i 0.416703 + 0.222732i 0.666404 0.745590i \(-0.267832\pi\)
−0.249701 + 0.968323i \(0.580332\pi\)
\(110\) 63.8813 + 222.089i 0.580739 + 2.01899i
\(111\) 137.076 + 56.7787i 1.23492 + 0.511520i
\(112\) −24.1962 + 14.2180i −0.216038 + 0.126946i
\(113\) 3.18427 + 7.68751i 0.0281794 + 0.0680310i 0.937343 0.348408i \(-0.113278\pi\)
−0.909163 + 0.416439i \(0.863278\pi\)
\(114\) −163.028 204.608i −1.43007 1.79481i
\(115\) −147.122 + 44.6290i −1.27932 + 0.388078i
\(116\) −123.660 107.612i −1.06603 0.927687i
\(117\) 83.3860 8.21281i 0.712701 0.0701949i
\(118\) 150.352 27.6552i 1.27417 0.234366i
\(119\) 5.93647 + 1.18084i 0.0498863 + 0.00992300i
\(120\) 76.7662 + 299.164i 0.639719 + 2.49303i
\(121\) −159.975 + 31.8211i −1.32211 + 0.262984i
\(122\) −24.2666 + 56.2714i −0.198907 + 0.461241i
\(123\) 34.2552 112.924i 0.278497 0.918083i
\(124\) −116.673 + 19.7222i −0.940913 + 0.159050i
\(125\) 13.0776 + 15.9351i 0.104621 + 0.127481i
\(126\) 70.8197 36.5484i 0.562061 0.290067i
\(127\) 101.346i 0.797998i −0.916951 0.398999i \(-0.869358\pi\)
0.916951 0.398999i \(-0.130642\pi\)
\(128\) 125.614 24.6005i 0.981357 0.192192i
\(129\) −265.371 −2.05714
\(130\) 23.1907 + 44.9364i 0.178390 + 0.345665i
\(131\) −19.4866 + 15.9922i −0.148753 + 0.122078i −0.705826 0.708385i \(-0.749424\pi\)
0.557074 + 0.830463i \(0.311924\pi\)
\(132\) −374.400 + 63.2879i −2.83636 + 0.479454i
\(133\) −38.9855 11.8261i −0.293124 0.0889183i
\(134\) 44.0584 + 18.9998i 0.328794 + 0.141790i
\(135\) −103.319 519.420i −0.765327 3.84756i
\(136\) −23.7599 14.0562i −0.174705 0.103354i
\(137\) 34.0386 171.123i 0.248457 1.24908i −0.632007 0.774963i \(-0.717769\pi\)
0.880464 0.474113i \(-0.157231\pi\)
\(138\) −45.6981 248.446i −0.331146 1.80033i
\(139\) −0.659416 6.69517i −0.00474400 0.0481667i 0.992521 0.122072i \(-0.0389538\pi\)
−0.997265 + 0.0739051i \(0.976454\pi\)
\(140\) 36.2819 + 31.5733i 0.259157 + 0.225524i
\(141\) −54.9213 181.051i −0.389513 1.28405i
\(142\) −162.745 + 129.673i −1.14609 + 0.913187i
\(143\) −57.4361 + 23.7908i −0.401651 + 0.166369i
\(144\) −359.998 + 50.2035i −2.49999 + 0.348636i
\(145\) −107.509 + 259.551i −0.741444 + 1.79000i
\(146\) −64.0283 + 18.4170i −0.438550 + 0.126144i
\(147\) −121.919 + 228.094i −0.829380 + 1.55166i
\(148\) −104.530 13.3544i −0.706283 0.0902327i
\(149\) 68.5988 + 56.2976i 0.460395 + 0.377836i 0.835808 0.549021i \(-0.184999\pi\)
−0.375414 + 0.926857i \(0.622499\pi\)
\(150\) 207.939 134.636i 1.38626 0.897575i
\(151\) −166.915 + 111.529i −1.10540 + 0.738605i −0.967759 0.251877i \(-0.918952\pi\)
−0.137641 + 0.990482i \(0.543952\pi\)
\(152\) 149.879 + 109.828i 0.986046 + 0.722556i
\(153\) 65.1820 + 43.5532i 0.426026 + 0.284662i
\(154\) −42.4109 + 41.2029i −0.275396 + 0.267551i
\(155\) 95.5941 + 178.844i 0.616736 + 1.15383i
\(156\) −77.6496 + 29.5653i −0.497754 + 0.189521i
\(157\) 25.4145 258.038i 0.161876 1.64355i −0.480378 0.877062i \(-0.659501\pi\)
0.642254 0.766492i \(-0.277999\pi\)
\(158\) −49.9854 42.2451i −0.316363 0.267374i
\(159\) 237.006 + 237.006i 1.49061 + 1.49061i
\(160\) −108.391 190.715i −0.677441 1.19197i
\(161\) −27.8162 27.8162i −0.172771 0.172771i
\(162\) 459.647 38.5754i 2.83733 0.238120i
\(163\) 8.44535 85.7470i 0.0518119 0.526055i −0.933890 0.357559i \(-0.883609\pi\)
0.985702 0.168496i \(-0.0538910\pi\)
\(164\) −2.42137 + 83.7781i −0.0147645 + 0.510842i
\(165\) 306.758 + 573.903i 1.85914 + 3.47820i
\(166\) 254.448 + 3.67628i 1.53282 + 0.0221463i
\(167\) −181.379 121.194i −1.08610 0.725711i −0.122345 0.992488i \(-0.539041\pi\)
−0.963758 + 0.266777i \(0.914041\pi\)
\(168\) −58.2493 + 53.4069i −0.346722 + 0.317898i
\(169\) 129.207 86.3336i 0.764541 0.510850i
\(170\) −9.89936 + 46.2640i −0.0582315 + 0.272141i
\(171\) −407.879 334.738i −2.38526 1.95753i
\(172\) 181.869 49.4790i 1.05738 0.287669i
\(173\) −33.7720 + 63.1830i −0.195214 + 0.365220i −0.960416 0.278571i \(-0.910139\pi\)
0.765202 + 0.643791i \(0.222639\pi\)
\(174\) −403.914 223.458i −2.32134 1.28424i
\(175\) 14.7624 35.6396i 0.0843566 0.203655i
\(176\) 244.790 113.181i 1.39085 0.643075i
\(177\) 397.714 164.739i 2.24697 0.930727i
\(178\) −18.4466 + 163.099i −0.103632 + 0.916286i
\(179\) −80.8984 266.686i −0.451946 1.48987i −0.826647 0.562721i \(-0.809754\pi\)
0.374701 0.927146i \(-0.377746\pi\)
\(180\) 277.653 + 557.629i 1.54252 + 3.09794i
\(181\) 2.43462 + 24.7191i 0.0134509 + 0.136570i 0.999565 0.0295013i \(-0.00939190\pi\)
−0.986114 + 0.166071i \(0.946892\pi\)
\(182\) −7.34305 + 10.6532i −0.0403464 + 0.0585341i
\(183\) −33.6652 + 169.246i −0.183963 + 0.924843i
\(184\) 77.6420 + 161.749i 0.421967 + 0.879070i
\(185\) 35.2328 + 177.127i 0.190448 + 0.957445i
\(186\) −309.650 + 123.051i −1.66478 + 0.661563i
\(187\) −55.6604 16.8844i −0.297649 0.0902909i
\(188\) 71.3971 + 113.841i 0.379772 + 0.605537i
\(189\) 104.749 85.9653i 0.554228 0.454843i
\(190\) 96.8312 303.362i 0.509638 1.59664i
\(191\) 99.9901 0.523508 0.261754 0.965135i \(-0.415699\pi\)
0.261754 + 0.965135i \(0.415699\pi\)
\(192\) 331.394 141.751i 1.72601 0.738288i
\(193\) 13.4673i 0.0697786i 0.999391 + 0.0348893i \(0.0111079\pi\)
−0.999391 + 0.0348893i \(0.988892\pi\)
\(194\) 9.87090 30.9245i 0.0508809 0.159405i
\(195\) 90.3341 + 110.072i 0.463252 + 0.564474i
\(196\) 41.0268 179.053i 0.209321 0.913538i
\(197\) 104.986 346.092i 0.532923 1.75681i −0.113195 0.993573i \(-0.536109\pi\)
0.646118 0.763238i \(-0.276391\pi\)
\(198\) −711.700 + 282.821i −3.59444 + 1.42839i
\(199\) 169.848 33.7849i 0.853509 0.169773i 0.251100 0.967961i \(-0.419208\pi\)
0.602409 + 0.798188i \(0.294208\pi\)
\(200\) −117.405 + 131.042i −0.587025 + 0.655209i
\(201\) 132.513 + 26.3585i 0.659270 + 0.131137i
\(202\) −73.9971 + 107.354i −0.366322 + 0.531456i
\(203\) −71.5369 + 7.04577i −0.352398 + 0.0347082i
\(204\) −73.7069 24.7056i −0.361308 0.121106i
\(205\) 137.453 41.6958i 0.670500 0.203394i
\(206\) −2.79015 + 24.6697i −0.0135444 + 0.119756i
\(207\) −194.975 470.712i −0.941910 2.27397i
\(208\) 47.7037 34.7402i 0.229345 0.167020i
\(209\) 361.694 + 149.819i 1.73059 + 0.716835i
\(210\) 118.508 + 65.5626i 0.564326 + 0.312203i
\(211\) 230.413 + 123.158i 1.09200 + 0.583688i 0.916193 0.400736i \(-0.131246\pi\)
0.175810 + 0.984424i \(0.443746\pi\)
\(212\) −206.620 118.239i −0.974621 0.557730i
\(213\) −371.730 + 452.954i −1.74521 + 2.12655i
\(214\) 56.7996 265.449i 0.265419 1.24042i
\(215\) −179.456 268.575i −0.834679 1.24919i
\(216\) −580.709 + 211.553i −2.68847 + 0.979412i
\(217\) −28.8273 + 43.1430i −0.132844 + 0.198816i
\(218\) −102.993 1.48805i −0.472445 0.00682592i
\(219\) −165.456 + 88.4383i −0.755508 + 0.403828i
\(220\) −317.238 336.122i −1.44199 1.52783i
\(221\) −12.6663 1.24752i −0.0573135 0.00564489i
\(222\) −295.701 + 24.8163i −1.33198 + 0.111785i
\(223\) 32.7400 32.7400i 0.146816 0.146816i −0.629878 0.776694i \(-0.716895\pi\)
0.776694 + 0.629878i \(0.216895\pi\)
\(224\) 29.9625 47.4625i 0.133761 0.211886i
\(225\) 353.289 353.289i 1.57017 1.57017i
\(226\) −12.7104 10.7422i −0.0562408 0.0475318i
\(227\) 127.531 + 12.5607i 0.561812 + 0.0553337i 0.374937 0.927050i \(-0.377664\pi\)
0.186875 + 0.982384i \(0.440164\pi\)
\(228\) 477.416 + 214.114i 2.09393 + 0.939095i
\(229\) −224.007 + 119.734i −0.978199 + 0.522858i −0.881362 0.472442i \(-0.843373\pi\)
−0.0968369 + 0.995300i \(0.530873\pi\)
\(230\) 220.543 214.261i 0.958881 0.931568i
\(231\) −92.5055 + 138.444i −0.400457 + 0.599326i
\(232\) 318.481 + 77.8333i 1.37276 + 0.335488i
\(233\) −61.7339 92.3913i −0.264952 0.396529i 0.675009 0.737809i \(-0.264140\pi\)
−0.939962 + 0.341280i \(0.889140\pi\)
\(234\) −140.667 + 91.0793i −0.601142 + 0.389228i
\(235\) 146.097 178.020i 0.621689 0.757530i
\(236\) −241.852 + 187.056i −1.02480 + 0.792611i
\(237\) −162.530 86.8741i −0.685780 0.366557i
\(238\) −11.6338 + 3.34633i −0.0488817 + 0.0140602i
\(239\) 249.701 + 103.430i 1.04477 + 0.432760i 0.838023 0.545634i \(-0.183711\pi\)
0.206750 + 0.978394i \(0.433711\pi\)
\(240\) −410.832 461.287i −1.71180 1.92203i
\(241\) 39.2370 + 94.7264i 0.162809 + 0.393056i 0.984139 0.177397i \(-0.0567677\pi\)
−0.821330 + 0.570453i \(0.806768\pi\)
\(242\) 255.134 203.286i 1.05427 0.840027i
\(243\) 577.592 175.210i 2.37692 0.721031i
\(244\) −8.48436 122.268i −0.0347720 0.501097i
\(245\) −313.295 + 30.8569i −1.27876 + 0.125946i
\(246\) 42.6946 + 232.117i 0.173555 + 0.943566i
\(247\) 84.0202 + 16.7127i 0.340163 + 0.0676626i
\(248\) 189.271 142.066i 0.763190 0.572847i
\(249\) 702.811 139.798i 2.82253 0.561437i
\(250\) −37.8584 16.3262i −0.151434 0.0653046i
\(251\) 87.3112 287.826i 0.347853 1.14672i −0.592229 0.805770i \(-0.701752\pi\)
0.940082 0.340949i \(-0.110748\pi\)
\(252\) −92.3435 + 129.914i −0.366443 + 0.515530i
\(253\) 239.816 + 292.217i 0.947890 + 1.15501i
\(254\) 92.9557 + 180.120i 0.365967 + 0.709133i
\(255\) 133.225i 0.522450i
\(256\) −200.687 + 158.937i −0.783932 + 0.620846i
\(257\) −353.866 −1.37691 −0.688455 0.725279i \(-0.741711\pi\)
−0.688455 + 0.725279i \(0.741711\pi\)
\(258\) 471.638 243.402i 1.82805 0.943418i
\(259\) −35.7204 + 29.3150i −0.137917 + 0.113185i
\(260\) −82.4326 58.5937i −0.317048 0.225360i
\(261\) −890.919 270.257i −3.41348 1.03547i
\(262\) 19.9648 46.2960i 0.0762016 0.176702i
\(263\) −48.8138 245.404i −0.185604 0.933093i −0.955515 0.294942i \(-0.904700\pi\)
0.769911 0.638151i \(-0.220300\pi\)
\(264\) 607.364 455.885i 2.30062 1.72684i
\(265\) −79.5933 + 400.142i −0.300352 + 1.50997i
\(266\) 80.1352 14.7397i 0.301260 0.0554125i
\(267\) 45.3037 + 459.976i 0.169677 + 1.72276i
\(268\) −95.7309 + 6.64293i −0.357205 + 0.0247871i
\(269\) 21.9096 + 72.2261i 0.0814482 + 0.268499i 0.988201 0.153165i \(-0.0489465\pi\)
−0.906753 + 0.421663i \(0.861446\pi\)
\(270\) 660.046 + 828.389i 2.44462 + 3.06811i
\(271\) −461.216 + 191.042i −1.70191 + 0.704952i −0.999973 0.00729201i \(-0.997679\pi\)
−0.701932 + 0.712244i \(0.747679\pi\)
\(272\) 55.1205 + 3.18887i 0.202649 + 0.0117238i
\(273\) −13.9429 + 33.6611i −0.0510728 + 0.123301i
\(274\) 96.4607 + 335.355i 0.352046 + 1.22392i
\(275\) −174.748 + 326.930i −0.635446 + 1.18884i
\(276\) 309.097 + 399.643i 1.11991 + 1.44798i
\(277\) 66.9515 + 54.9457i 0.241702 + 0.198360i 0.747444 0.664325i \(-0.231281\pi\)
−0.505741 + 0.862685i \(0.668781\pi\)
\(278\) 7.31287 + 11.2944i 0.0263053 + 0.0406272i
\(279\) −558.776 + 373.362i −2.00278 + 1.33822i
\(280\) −93.4425 22.8363i −0.333723 0.0815583i
\(281\) −170.163 113.699i −0.605561 0.404623i 0.214644 0.976692i \(-0.431141\pi\)
−0.820205 + 0.572069i \(0.806141\pi\)
\(282\) 263.673 + 271.404i 0.935011 + 0.962426i
\(283\) −57.5249 107.622i −0.203268 0.380288i 0.759546 0.650454i \(-0.225421\pi\)
−0.962814 + 0.270166i \(0.912921\pi\)
\(284\) 170.306 379.736i 0.599669 1.33710i
\(285\) 87.8924 892.387i 0.308394 3.13118i
\(286\) 80.2587 94.9641i 0.280625 0.332042i
\(287\) 25.9880 + 25.9880i 0.0905505 + 0.0905505i
\(288\) 593.770 419.421i 2.06170 1.45632i
\(289\) 195.934 + 195.934i 0.677971 + 0.677971i
\(290\) −46.9892 559.903i −0.162032 1.93070i
\(291\) 8.95969 90.9692i 0.0307893 0.312609i
\(292\) 96.9039 91.4597i 0.331863 0.313218i
\(293\) −197.993 370.419i −0.675744 1.26423i −0.952866 0.303393i \(-0.901881\pi\)
0.277122 0.960835i \(-0.410619\pi\)
\(294\) 7.47272 517.212i 0.0254174 1.75923i
\(295\) 435.680 + 291.112i 1.47688 + 0.986821i
\(296\) 198.027 72.1416i 0.669012 0.243722i
\(297\) −1082.73 + 723.454i −3.64554 + 2.43587i
\(298\) −173.556 37.1367i −0.582403 0.124620i
\(299\) 63.9425 + 52.4762i 0.213854 + 0.175506i
\(300\) −246.075 + 430.010i −0.820250 + 1.43337i
\(301\) 38.9605 72.8901i 0.129437 0.242160i
\(302\) 194.359 351.316i 0.643573 1.16330i
\(303\) −140.505 + 339.208i −0.463711 + 1.11950i
\(304\) −367.113 57.7248i −1.20761 0.189884i
\(305\) −194.056 + 80.3805i −0.636248 + 0.263543i
\(306\) −155.794 17.6204i −0.509132 0.0575830i
\(307\) 95.2749 + 314.079i 0.310342 + 1.02306i 0.963918 + 0.266199i \(0.0857679\pi\)
−0.653576 + 0.756861i \(0.726732\pi\)
\(308\) 37.5842 112.129i 0.122027 0.364055i
\(309\) 6.85245 + 69.5741i 0.0221762 + 0.225159i
\(310\) −333.936 230.175i −1.07721 0.742502i
\(311\) 13.9996 70.3809i 0.0450149 0.226305i −0.951729 0.306940i \(-0.900695\pi\)
0.996744 + 0.0806351i \(0.0256948\pi\)
\(312\) 110.887 123.767i 0.355408 0.396690i
\(313\) 65.5936 + 329.761i 0.209564 + 1.05355i 0.932096 + 0.362213i \(0.117979\pi\)
−0.722531 + 0.691338i \(0.757021\pi\)
\(314\) 191.507 + 481.916i 0.609896 + 1.53476i
\(315\) 261.396 + 79.2936i 0.829829 + 0.251726i
\(316\) 127.586 + 29.2339i 0.403752 + 0.0925125i
\(317\) 78.9480 64.7910i 0.249047 0.204388i −0.501584 0.865109i \(-0.667249\pi\)
0.750632 + 0.660721i \(0.229749\pi\)
\(318\) −638.612 203.841i −2.00821 0.641009i
\(319\) 690.770 2.16542
\(320\) 367.567 + 239.536i 1.14865 + 0.748551i
\(321\) 764.404i 2.38132i
\(322\) 74.9505 + 23.9237i 0.232766 + 0.0742973i
\(323\) 50.8464 + 61.9565i 0.157419 + 0.191816i
\(324\) −781.540 + 490.154i −2.41216 + 1.51282i
\(325\) −23.5468 + 77.6235i −0.0724518 + 0.238842i
\(326\) 63.6386 + 160.143i 0.195210 + 0.491235i
\(327\) −284.477 + 56.5861i −0.869961 + 0.173046i
\(328\) −72.5390 151.118i −0.221155 0.460726i
\(329\) 57.7931 + 11.4958i 0.175663 + 0.0349415i
\(330\) −1071.59 738.624i −3.24723 2.23825i
\(331\) 17.3922 1.71298i 0.0525443 0.00517516i −0.0717108 0.997425i \(-0.522846\pi\)
0.124255 + 0.992250i \(0.460346\pi\)
\(332\) −455.597 + 226.849i −1.37228 + 0.683281i
\(333\) −572.722 + 173.733i −1.71988 + 0.521721i
\(334\) 433.522 + 49.0315i 1.29797 + 0.146801i
\(335\) 62.9348 + 151.938i 0.187865 + 0.453547i
\(336\) 54.5396 148.346i 0.162320 0.441506i
\(337\) −342.021 141.670i −1.01490 0.420385i −0.187660 0.982234i \(-0.560090\pi\)
−0.827240 + 0.561849i \(0.810090\pi\)
\(338\) −150.451 + 271.950i −0.445122 + 0.804585i
\(339\) −41.3286 22.0906i −0.121913 0.0651639i
\(340\) −24.8401 91.3039i −0.0730590 0.268541i
\(341\) 316.323 385.440i 0.927632 1.13032i
\(342\) 1031.94 + 220.810i 3.01737 + 0.645643i
\(343\) −92.5013 138.438i −0.269683 0.403609i
\(344\) −277.848 + 254.750i −0.807698 + 0.740553i
\(345\) 481.041 719.929i 1.39432 2.08675i
\(346\) 2.06997 143.270i 0.00598258 0.414075i
\(347\) −446.702 + 238.767i −1.28733 + 0.688091i −0.965918 0.258850i \(-0.916657\pi\)
−0.321409 + 0.946940i \(0.604157\pi\)
\(348\) 922.826 + 26.6717i 2.65180 + 0.0766427i
\(349\) −222.582 21.9224i −0.637771 0.0628149i −0.226036 0.974119i \(-0.572577\pi\)
−0.411734 + 0.911304i \(0.635077\pi\)
\(350\) 6.45222 + 76.8817i 0.0184349 + 0.219662i
\(351\) −201.484 + 201.484i −0.574029 + 0.574029i
\(352\) −331.248 + 425.679i −0.941046 + 1.20932i
\(353\) −37.7177 + 37.7177i −0.106849 + 0.106849i −0.758510 0.651661i \(-0.774072\pi\)
0.651661 + 0.758510i \(0.274072\pi\)
\(354\) −555.748 + 657.575i −1.56991 + 1.85756i
\(355\) −709.804 69.9096i −1.99945 0.196928i
\(356\) −116.812 306.792i −0.328123 0.861774i
\(357\) −30.0631 + 16.0691i −0.0842105 + 0.0450114i
\(358\) 388.387 + 399.775i 1.08488 + 1.11669i
\(359\) −79.3184 + 118.708i −0.220943 + 0.330664i −0.925338 0.379144i \(-0.876218\pi\)
0.704395 + 0.709808i \(0.251218\pi\)
\(360\) −1004.93 736.395i −2.79148 2.04554i
\(361\) −99.1518 148.391i −0.274659 0.411056i
\(362\) −26.9997 41.6997i −0.0745849 0.115193i
\(363\) 582.758 710.092i 1.60539 1.95618i
\(364\) 3.27938 25.6689i 0.00900930 0.0705189i
\(365\) −201.395 107.648i −0.551768 0.294926i
\(366\) −95.4026 331.676i −0.260663 0.906218i
\(367\) 30.4420 + 12.6095i 0.0829482 + 0.0343583i 0.423772 0.905769i \(-0.360706\pi\)
−0.340824 + 0.940127i \(0.610706\pi\)
\(368\) −286.350 216.259i −0.778124 0.587659i
\(369\) 182.161 + 439.775i 0.493660 + 1.19180i
\(370\) −225.082 282.489i −0.608330 0.763483i
\(371\) −99.8953 + 30.3029i −0.269260 + 0.0816790i
\(372\) 437.470 502.710i 1.17599 1.35137i
\(373\) −247.069 + 24.3341i −0.662382 + 0.0652390i −0.423621 0.905839i \(-0.639241\pi\)
−0.238761 + 0.971078i \(0.576741\pi\)
\(374\) 114.411 21.0442i 0.305911 0.0562679i
\(375\) −113.866 22.6493i −0.303642 0.0603982i
\(376\) −231.309 136.841i −0.615183 0.363938i
\(377\) 148.249 29.4885i 0.393233 0.0782189i
\(378\) −107.320 + 248.861i −0.283914 + 0.658364i
\(379\) 36.4531 120.170i 0.0961824 0.317071i −0.895626 0.444809i \(-0.853272\pi\)
0.991808 + 0.127738i \(0.0407716\pi\)
\(380\) 106.152 + 627.973i 0.279346 + 1.65256i
\(381\) 362.088 + 441.206i 0.950363 + 1.15802i
\(382\) −177.710 + 91.7123i −0.465210 + 0.240085i
\(383\) 316.056i 0.825212i −0.910909 0.412606i \(-0.864619\pi\)
0.910909 0.412606i \(-0.135381\pi\)
\(384\) −458.963 + 555.891i −1.19522 + 1.44763i
\(385\) −202.672 −0.526421
\(386\) −12.3524 23.9351i −0.0320009 0.0620080i
\(387\) 827.468 679.085i 2.13816 1.75474i
\(388\) 10.8210 + 64.0151i 0.0278892 + 0.164987i
\(389\) 428.916 + 130.110i 1.10261 + 0.334473i 0.788575 0.614938i \(-0.210819\pi\)
0.314035 + 0.949411i \(0.398319\pi\)
\(390\) −261.509 112.774i −0.670535 0.289163i
\(391\) 15.0984 + 75.9049i 0.0386149 + 0.194130i
\(392\) 91.3141 + 355.858i 0.232944 + 0.907802i
\(393\) 27.6972 139.243i 0.0704764 0.354309i
\(394\) 130.851 + 711.396i 0.332109 + 1.80557i
\(395\) −21.9873 223.241i −0.0556640 0.565166i
\(396\) 1005.48 1155.43i 2.53910 2.91776i
\(397\) 108.543 + 357.818i 0.273408 + 0.901304i 0.980888 + 0.194572i \(0.0623316\pi\)
−0.707481 + 0.706733i \(0.750168\pi\)
\(398\) −270.880 + 215.832i −0.680602 + 0.542292i
\(399\) 211.975 87.8028i 0.531265 0.220057i
\(400\) 88.4680 340.583i 0.221170 0.851458i
\(401\) −222.332 + 536.756i −0.554443 + 1.33854i 0.359668 + 0.933080i \(0.382890\pi\)
−0.914111 + 0.405464i \(0.867110\pi\)
\(402\) −259.690 + 74.6966i −0.645994 + 0.185812i
\(403\) 51.4330 96.2244i 0.127625 0.238770i
\(404\) 33.0469 258.669i 0.0817992 0.640271i
\(405\) 1222.14 + 1002.98i 3.01762 + 2.47650i
\(406\) 120.678 78.1369i 0.297238 0.192455i
\(407\) 369.220 246.705i 0.907174 0.606154i
\(408\) 153.658 23.6962i 0.376613 0.0580789i
\(409\) 211.095 + 141.049i 0.516126 + 0.344864i 0.786197 0.617976i \(-0.212047\pi\)
−0.270071 + 0.962840i \(0.587047\pi\)
\(410\) −206.048 + 200.178i −0.502555 + 0.488240i
\(411\) 463.204 + 866.594i 1.12702 + 2.10850i
\(412\) −17.6685 46.4041i −0.0428847 0.112631i
\(413\) −13.1414 + 133.427i −0.0318195 + 0.323068i
\(414\) 778.269 + 657.752i 1.87988 + 1.58877i
\(415\) 616.759 + 616.759i 1.48617 + 1.48617i
\(416\) −52.9185 + 105.497i −0.127208 + 0.253600i
\(417\) 26.7913 + 26.7913i 0.0642476 + 0.0642476i
\(418\) −780.247 + 65.4813i −1.86662 + 0.156654i
\(419\) 27.3203 277.388i 0.0652035 0.662023i −0.905921 0.423448i \(-0.860820\pi\)
0.971124 0.238575i \(-0.0766803\pi\)
\(420\) −270.757 7.82548i −0.644661 0.0186321i
\(421\) −247.335 462.731i −0.587493 1.09912i −0.983506 0.180877i \(-0.942106\pi\)
0.396013 0.918245i \(-0.370394\pi\)
\(422\) −522.470 7.54868i −1.23808 0.0178879i
\(423\) 634.564 + 424.002i 1.50015 + 1.00237i
\(424\) 475.671 + 20.6291i 1.12187 + 0.0486534i
\(425\) −63.1025 + 42.1638i −0.148477 + 0.0992089i
\(426\) 245.212 1145.98i 0.575615 2.69010i
\(427\) −41.5447 34.0949i −0.0972944 0.0798475i
\(428\) 142.525 + 523.875i 0.333002 + 1.22401i
\(429\) 165.047 308.780i 0.384724 0.719768i
\(430\) 565.284 + 312.733i 1.31461 + 0.727286i
\(431\) −184.234 + 444.781i −0.427458 + 1.03197i 0.552633 + 0.833425i \(0.313623\pi\)
−0.980091 + 0.198550i \(0.936377\pi\)
\(432\) 838.043 908.623i 1.93991 2.10329i
\(433\) −238.337 + 98.7226i −0.550433 + 0.227997i −0.640526 0.767937i \(-0.721284\pi\)
0.0900931 + 0.995933i \(0.471284\pi\)
\(434\) 11.6627 103.118i 0.0268725 0.237599i
\(435\) −459.284 1514.06i −1.05582 3.48059i
\(436\) 184.412 91.8220i 0.422964 0.210601i
\(437\) −51.0578 518.399i −0.116837 1.18627i
\(438\) 212.945 308.938i 0.486176 0.705338i
\(439\) 15.7101 78.9799i 0.0357861 0.179909i −0.958758 0.284222i \(-0.908265\pi\)
0.994544 + 0.104314i \(0.0332646\pi\)
\(440\) 872.116 + 306.407i 1.98208 + 0.696379i
\(441\) −203.532 1023.22i −0.461524 2.32024i
\(442\) 23.6558 9.40050i 0.0535198 0.0212681i
\(443\) −176.464 53.5299i −0.398339 0.120835i 0.0847580 0.996402i \(-0.472988\pi\)
−0.483097 + 0.875567i \(0.660488\pi\)
\(444\) 502.780 315.326i 1.13239 0.710194i
\(445\) −434.893 + 356.908i −0.977288 + 0.802040i
\(446\) −28.1585 + 88.2176i −0.0631356 + 0.197797i
\(447\) −499.783 −1.11808
\(448\) −9.71857 + 111.836i −0.0216932 + 0.249634i
\(449\) 592.191i 1.31891i 0.751744 + 0.659455i \(0.229213\pi\)
−0.751744 + 0.659455i \(0.770787\pi\)
\(450\) −303.851 + 951.933i −0.675225 + 2.11541i
\(451\) −224.054 273.011i −0.496795 0.605346i
\(452\) 32.4428 + 7.43368i 0.0717762 + 0.0164462i
\(453\) 328.189 1081.90i 0.724480 2.38829i
\(454\) −238.180 + 94.6495i −0.524625 + 0.208479i
\(455\) −43.4963 + 8.65195i −0.0955962 + 0.0190153i
\(456\) −1044.89 + 57.3525i −2.29142 + 0.125773i
\(457\) 781.639 + 155.478i 1.71037 + 0.340214i 0.950704 0.310100i \(-0.100362\pi\)
0.759666 + 0.650313i \(0.225362\pi\)
\(458\) 288.302 418.264i 0.629479 0.913241i
\(459\) −265.309 + 26.1306i −0.578015 + 0.0569295i
\(460\) −195.443 + 583.085i −0.424876 + 1.26758i
\(461\) 448.143 135.943i 0.972111 0.294887i 0.236004 0.971752i \(-0.424162\pi\)
0.736107 + 0.676866i \(0.236662\pi\)
\(462\) 37.4251 330.901i 0.0810067 0.716237i
\(463\) −324.468 783.335i −0.700795 1.69187i −0.721813 0.692089i \(-0.756691\pi\)
0.0210180 0.999779i \(-0.493309\pi\)
\(464\) −637.420 + 153.784i −1.37375 + 0.331431i
\(465\) −1055.14 437.054i −2.26912 0.939900i
\(466\) 194.461 + 107.582i 0.417298 + 0.230863i
\(467\) 482.590 + 257.949i 1.03338 + 0.552354i 0.898713 0.438536i \(-0.144503\pi\)
0.134669 + 0.990891i \(0.457003\pi\)
\(468\) 166.466 290.895i 0.355696 0.621571i
\(469\) −26.6950 + 32.5279i −0.0569189 + 0.0693559i
\(470\) −96.3729 + 450.393i −0.205049 + 0.958282i
\(471\) 811.277 + 1214.16i 1.72246 + 2.57784i
\(472\) 258.269 554.281i 0.547179 1.17432i
\(473\) −441.250 + 660.377i −0.932875 + 1.39615i
\(474\) 368.543 + 5.32474i 0.777517 + 0.0112336i
\(475\) 450.500 240.797i 0.948421 0.506941i
\(476\) 17.6073 16.6181i 0.0369901 0.0349119i
\(477\) −1345.52 132.522i −2.82080 0.277825i
\(478\) −538.655 + 45.2060i −1.12689 + 0.0945733i
\(479\) −23.9591 + 23.9591i −0.0500190 + 0.0500190i −0.731674 0.681655i \(-0.761261\pi\)
0.681655 + 0.731674i \(0.261261\pi\)
\(480\) 1153.26 + 443.014i 2.40263 + 0.922946i
\(481\) 68.7081 68.7081i 0.142844 0.142844i
\(482\) −156.619 132.367i −0.324936 0.274619i
\(483\) 220.479 + 21.7153i 0.456478 + 0.0449591i
\(484\) −266.987 + 595.309i −0.551626 + 1.22998i
\(485\) 98.1265 52.4497i 0.202323 0.108144i
\(486\) −865.836 + 841.173i −1.78156 + 1.73081i
\(487\) 212.376 317.844i 0.436091 0.652656i −0.546710 0.837322i \(-0.684120\pi\)
0.982801 + 0.184665i \(0.0591201\pi\)
\(488\) 127.225 + 209.522i 0.260706 + 0.429348i
\(489\) 269.591 + 403.471i 0.551310 + 0.825094i
\(490\) 528.510 342.200i 1.07859 0.698367i
\(491\) 138.973 169.339i 0.283040 0.344885i −0.612011 0.790849i \(-0.709639\pi\)
0.895051 + 0.445964i \(0.147139\pi\)
\(492\) −288.781 373.377i −0.586954 0.758896i
\(493\) 124.721 + 66.6647i 0.252984 + 0.135223i
\(494\) −164.656 + 47.3614i −0.333313 + 0.0958734i
\(495\) −2425.14 1004.53i −4.89927 2.02935i
\(496\) −206.083 + 426.093i −0.415489 + 0.859059i
\(497\) −69.8384 168.605i −0.140520 0.339245i
\(498\) −1120.87 + 893.087i −2.25074 + 1.79335i
\(499\) −13.4521 + 4.08066i −0.0269582 + 0.00817768i −0.303735 0.952757i \(-0.598234\pi\)
0.276777 + 0.960934i \(0.410734\pi\)
\(500\) 82.2596 5.70813i 0.164519 0.0114163i
\(501\) 1222.63 120.419i 2.44038 0.240356i
\(502\) 108.822 + 591.631i 0.216777 + 1.17855i
\(503\) 48.7659 + 9.70014i 0.0969500 + 0.0192846i 0.243327 0.969944i \(-0.421761\pi\)
−0.146377 + 0.989229i \(0.546761\pi\)
\(504\) 44.9617 315.591i 0.0892098 0.626173i
\(505\) −438.319 + 87.1871i −0.867959 + 0.172648i
\(506\) −694.245 299.388i −1.37203 0.591676i
\(507\) −254.048 + 837.483i −0.501080 + 1.65184i
\(508\) −330.416 234.863i −0.650426 0.462328i
\(509\) −222.285 270.855i −0.436709 0.532131i 0.507424 0.861697i \(-0.330598\pi\)
−0.944133 + 0.329565i \(0.893098\pi\)
\(510\) −122.196 236.777i −0.239599 0.464270i
\(511\) 58.4304i 0.114345i
\(512\) 210.897 466.547i 0.411909 0.911225i
\(513\) 1794.37 3.49780
\(514\) 628.918 324.570i 1.22358 0.631460i
\(515\) −65.7802 + 53.9844i −0.127729 + 0.104824i
\(516\) −614.981 + 865.186i −1.19182 + 1.67672i
\(517\) −541.869 164.374i −1.04810 0.317938i
\(518\) 36.5970 84.8642i 0.0706507 0.163830i
\(519\) −78.7148 395.726i −0.151666 0.762478i
\(520\) 200.249 + 28.5291i 0.385093 + 0.0548636i
\(521\) 9.93964 49.9699i 0.0190780 0.0959116i −0.970073 0.242813i \(-0.921930\pi\)
0.989151 + 0.146901i \(0.0469299\pi\)
\(522\) 1831.30 336.841i 3.50823 0.645288i
\(523\) −52.0235 528.203i −0.0994712 1.00995i −0.907287 0.420513i \(-0.861850\pi\)
0.807815 0.589436i \(-0.200650\pi\)
\(524\) 6.98031 + 100.593i 0.0133212 + 0.191971i
\(525\) 63.0655 + 207.899i 0.120125 + 0.395998i
\(526\) 311.843 + 391.378i 0.592858 + 0.744064i
\(527\) 94.3111 39.0649i 0.178958 0.0741270i
\(528\) −661.311 + 1367.32i −1.25248 + 2.58961i
\(529\) −9.95589 + 24.0356i −0.0188202 + 0.0454360i
\(530\) −225.557 784.168i −0.425579 1.47956i
\(531\) −818.568 + 1531.43i −1.54156 + 2.88405i
\(532\) −128.903 + 99.6977i −0.242299 + 0.187402i
\(533\) −59.7399 49.0272i −0.112082 0.0919836i
\(534\) −502.414 775.952i −0.940849 1.45309i
\(535\) 773.633 516.925i 1.44604 0.966215i
\(536\) 164.048 99.6121i 0.306059 0.185843i
\(537\) 1305.01 + 871.977i 2.43018 + 1.62379i
\(538\) −105.186 108.270i −0.195513 0.201246i
\(539\) 364.891 + 682.663i 0.676978 + 1.26654i
\(540\) −1932.90 866.874i −3.57944 1.60532i
\(541\) −41.1640 + 417.945i −0.0760887 + 0.772541i 0.879118 + 0.476603i \(0.158132\pi\)
−0.955207 + 0.295938i \(0.904368\pi\)
\(542\) 644.483 762.569i 1.18908 1.40695i
\(543\) −98.9156 98.9156i −0.182165 0.182165i
\(544\) −100.889 + 44.8898i −0.185458 + 0.0825179i
\(545\) −249.646 249.646i −0.458066 0.458066i
\(546\) −6.09403 72.6137i −0.0111612 0.132992i
\(547\) 37.9178 384.986i 0.0693196 0.703814i −0.896229 0.443592i \(-0.853704\pi\)
0.965549 0.260223i \(-0.0837959\pi\)
\(548\) −479.029 507.543i −0.874141 0.926174i
\(549\) −328.129 613.886i −0.597684 1.11819i
\(550\) 10.7107 741.326i 0.0194741 1.34787i
\(551\) −791.444 528.826i −1.43638 0.959757i
\(552\) −915.909 426.770i −1.65925 0.773133i
\(553\) 47.7238 31.8880i 0.0862999 0.0576637i
\(554\) −169.388 36.2449i −0.305755 0.0654241i
\(555\) −786.226 645.239i −1.41662 1.16259i
\(556\) −23.3563 13.3658i −0.0420078 0.0240391i
\(557\) −166.570 + 311.631i −0.299048 + 0.559480i −0.985904 0.167314i \(-0.946491\pi\)
0.686855 + 0.726794i \(0.258991\pi\)
\(558\) 650.648 1176.09i 1.16604 2.10768i
\(559\) −66.5073 + 160.563i −0.118976 + 0.287232i
\(560\) 187.019 45.1203i 0.333963 0.0805719i
\(561\) 302.641 125.358i 0.539466 0.223454i
\(562\) 406.713 + 45.9994i 0.723688 + 0.0818494i
\(563\) 278.971 + 919.645i 0.495508 + 1.63347i 0.746429 + 0.665465i \(0.231767\pi\)
−0.250921 + 0.968008i \(0.580733\pi\)
\(564\) −717.556 240.516i −1.27226 0.426447i
\(565\) −5.59098 56.7662i −0.00989554 0.100471i
\(566\) 200.950 + 138.511i 0.355035 + 0.244719i
\(567\) −78.9206 + 396.760i −0.139190 + 0.699754i
\(568\) 45.6182 + 831.105i 0.0803137 + 1.46321i
\(569\) −192.333 966.924i −0.338020 1.69934i −0.658909 0.752223i \(-0.728982\pi\)
0.320889 0.947117i \(-0.396018\pi\)
\(570\) 662.300 + 1666.64i 1.16193 + 2.92392i
\(571\) 469.490 + 142.418i 0.822224 + 0.249419i 0.673243 0.739421i \(-0.264901\pi\)
0.148981 + 0.988840i \(0.452401\pi\)
\(572\) −55.5397 + 242.392i −0.0970974 + 0.423762i
\(573\) −435.304 + 357.245i −0.759693 + 0.623464i
\(574\) −70.0244 22.3514i −0.121994 0.0389396i
\(575\) 493.241 0.857810
\(576\) −670.596 + 1290.04i −1.16423 + 2.23966i
\(577\) 163.233i 0.282899i 0.989945 + 0.141449i \(0.0451763\pi\)
−0.989945 + 0.141449i \(0.954824\pi\)
\(578\) −527.942 168.516i −0.913394 0.291550i
\(579\) −48.1159 58.6293i −0.0831016 0.101260i
\(580\) 597.063 + 952.004i 1.02942 + 1.64139i
\(581\) −64.7849 + 213.567i −0.111506 + 0.367586i
\(582\) 67.5144 + 169.896i 0.116004 + 0.291917i
\(583\) 983.878 195.706i 1.68761 0.335687i
\(584\) −88.3370 + 251.431i −0.151262 + 0.430532i
\(585\) −563.352 112.058i −0.962994 0.191551i
\(586\) 691.642 + 476.735i 1.18028 + 0.813542i
\(587\) 636.586 62.6982i 1.08447 0.106811i 0.460047 0.887895i \(-0.347833\pi\)
0.624427 + 0.781083i \(0.285333\pi\)
\(588\) 461.113 + 926.085i 0.784206 + 1.57497i
\(589\) −657.501 + 199.451i −1.11630 + 0.338626i
\(590\) −1041.34 117.776i −1.76498 0.199620i
\(591\) 779.464 + 1881.79i 1.31889 + 3.18408i
\(592\) −285.781 + 309.849i −0.482738 + 0.523394i
\(593\) 747.249 + 309.521i 1.26012 + 0.521957i 0.909945 0.414729i \(-0.136123\pi\)
0.350171 + 0.936686i \(0.386123\pi\)
\(594\) 1260.74 2278.87i 2.12246 3.83648i
\(595\) −36.5932 19.5595i −0.0615011 0.0328730i
\(596\) 342.520 93.1857i 0.574698 0.156352i
\(597\) −618.723 + 753.916i −1.03639 + 1.26284i
\(598\) −161.775 34.6160i −0.270528 0.0578862i
\(599\) −643.385 962.894i −1.07410 1.60750i −0.749948 0.661497i \(-0.769921\pi\)
−0.324151 0.946005i \(-0.605079\pi\)
\(600\) 42.9326 989.952i 0.0715543 1.64992i
\(601\) 266.315 398.568i 0.443119 0.663175i −0.540931 0.841067i \(-0.681928\pi\)
0.984050 + 0.177892i \(0.0569278\pi\)
\(602\) −2.38799 + 165.281i −0.00396676 + 0.274553i
\(603\) −480.649 + 256.912i −0.797096 + 0.426057i
\(604\) −23.1985 + 802.655i −0.0384081 + 1.32890i
\(605\) 1112.75 + 109.597i 1.83926 + 0.181151i
\(606\) −61.4105 731.740i −0.101337 1.20749i
\(607\) −112.042 + 112.042i −0.184583 + 0.184583i −0.793349 0.608766i \(-0.791665\pi\)
0.608766 + 0.793349i \(0.291665\pi\)
\(608\) 705.408 234.128i 1.16021 0.385079i
\(609\) 286.261 286.261i 0.470050 0.470050i
\(610\) 271.165 320.849i 0.444532 0.525982i
\(611\) −123.310 12.1449i −0.201816 0.0198772i
\(612\) 293.051 111.580i 0.478842 0.182321i
\(613\) −713.923 + 381.600i −1.16464 + 0.622512i −0.936345 0.351081i \(-0.885814\pi\)
−0.228292 + 0.973593i \(0.573314\pi\)
\(614\) −457.408 470.819i −0.744964 0.766806i
\(615\) −449.425 + 672.612i −0.730772 + 1.09368i
\(616\) 36.0485 + 233.757i 0.0585203 + 0.379476i
\(617\) −219.901 329.104i −0.356403 0.533394i 0.609335 0.792913i \(-0.291436\pi\)
−0.965738 + 0.259518i \(0.916436\pi\)
\(618\) −75.9931 117.367i −0.122966 0.189915i
\(619\) 307.595 374.805i 0.496922 0.605501i −0.462797 0.886464i \(-0.653154\pi\)
0.959718 + 0.280964i \(0.0906540\pi\)
\(620\) 804.617 + 102.796i 1.29777 + 0.165799i
\(621\) 1528.04 + 816.757i 2.46062 + 1.31523i
\(622\) 39.6731 + 137.927i 0.0637831 + 0.221748i
\(623\) −132.994 55.0879i −0.213474 0.0884236i
\(624\) −83.5567 + 321.676i −0.133905 + 0.515507i
\(625\) −264.486 638.526i −0.423178 1.02164i
\(626\) −419.040 525.915i −0.669393 0.840119i
\(627\) −2109.90 + 640.030i −3.36507 + 1.02078i
\(628\) −782.381 680.846i −1.24583 1.08415i
\(629\) 90.4728 8.91080i 0.143836 0.0141666i
\(630\) −537.303 + 98.8292i −0.852862 + 0.156872i
\(631\) −785.604 156.266i −1.24501 0.247649i −0.471749 0.881733i \(-0.656377\pi\)
−0.773264 + 0.634084i \(0.781377\pi\)
\(632\) −253.569 + 65.0665i −0.401217 + 0.102953i
\(633\) −1443.11 + 287.053i −2.27980 + 0.453481i
\(634\) −80.8855 + 187.564i −0.127580 + 0.295842i
\(635\) −201.672 + 664.824i −0.317594 + 1.04697i
\(636\) 1321.96 223.461i 2.07855 0.351354i
\(637\) 107.453 + 130.932i 0.168686 + 0.205545i
\(638\) −1227.69 + 633.584i −1.92428 + 0.993078i
\(639\) 2363.64i 3.69897i
\(640\) −872.974 88.5856i −1.36402 0.138415i
\(641\) −474.650 −0.740483 −0.370242 0.928935i \(-0.620725\pi\)
−0.370242 + 0.928935i \(0.620725\pi\)
\(642\) 701.122 + 1358.56i 1.09209 + 2.11614i
\(643\) −389.958 + 320.030i −0.606466 + 0.497714i −0.886778 0.462195i \(-0.847062\pi\)
0.280312 + 0.959909i \(0.409562\pi\)
\(644\) −155.151 + 26.2265i −0.240918 + 0.0407244i
\(645\) 1740.82 + 528.072i 2.69895 + 0.818717i
\(646\) −147.196 63.4770i −0.227857 0.0982616i
\(647\) 159.346 + 801.086i 0.246284 + 1.23815i 0.883855 + 0.467762i \(0.154940\pi\)
−0.637570 + 0.770392i \(0.720060\pi\)
\(648\) 939.438 1587.98i 1.44975 2.45059i
\(649\) 251.353 1263.64i 0.387293 1.94705i
\(650\) −29.3481 159.556i −0.0451509 0.245471i
\(651\) −28.6429 290.816i −0.0439983 0.446722i
\(652\) −259.988 226.248i −0.398755 0.347006i
\(653\) −217.778 717.917i −0.333503 1.09941i −0.950051 0.312095i \(-0.898969\pi\)
0.616548 0.787318i \(-0.288531\pi\)
\(654\) 453.694 361.496i 0.693722 0.552746i
\(655\) 159.655 66.1312i 0.243748 0.100964i
\(656\) 267.529 + 202.045i 0.407819 + 0.307995i
\(657\) 289.605 699.168i 0.440799 1.06418i
\(658\) −113.259 + 32.5774i −0.172125 + 0.0495098i
\(659\) 144.079 269.553i 0.218633 0.409034i −0.748563 0.663063i \(-0.769256\pi\)
0.967196 + 0.254029i \(0.0817560\pi\)
\(660\) 2581.98 + 329.867i 3.91210 + 0.499799i
\(661\) −782.050 641.811i −1.18313 0.970970i −0.183204 0.983075i \(-0.558647\pi\)
−0.999927 + 0.0121045i \(0.996147\pi\)
\(662\) −29.3395 + 18.9968i −0.0443195 + 0.0286960i
\(663\) 59.5994 39.8231i 0.0898936 0.0600650i
\(664\) 601.653 821.054i 0.906104 1.23653i
\(665\) 232.210 + 155.158i 0.349188 + 0.233320i
\(666\) 858.535 834.080i 1.28909 1.25237i
\(667\) −433.266 810.583i −0.649574 1.21527i
\(668\) −815.461 + 310.489i −1.22075 + 0.464805i
\(669\) −25.5591 + 259.506i −0.0382049 + 0.387901i
\(670\) −251.212 212.312i −0.374944 0.316883i
\(671\) 365.193 + 365.193i 0.544252 + 0.544252i
\(672\) 39.1329 + 313.677i 0.0582334 + 0.466781i
\(673\) 160.069 + 160.069i 0.237844 + 0.237844i 0.815957 0.578113i \(-0.196211\pi\)
−0.578113 + 0.815957i \(0.696211\pi\)
\(674\) 737.808 61.9198i 1.09467 0.0918691i
\(675\) −166.538 + 1690.89i −0.246723 + 2.50502i
\(676\) 17.9577 621.326i 0.0265646 0.919122i
\(677\) 88.1691 + 164.953i 0.130235 + 0.243653i 0.938584 0.345051i \(-0.112138\pi\)
−0.808349 + 0.588704i \(0.799638\pi\)
\(678\) 93.7141 + 1.35399i 0.138221 + 0.00199703i
\(679\) 23.6713 + 15.8167i 0.0348620 + 0.0232941i
\(680\) 127.893 + 139.489i 0.188078 + 0.205131i
\(681\) −600.081 + 400.961i −0.881176 + 0.588783i
\(682\) −208.662 + 975.170i −0.305957 + 1.42987i
\(683\) 706.270 + 579.621i 1.03407 + 0.848639i 0.988636 0.150328i \(-0.0480330\pi\)
0.0454337 + 0.998967i \(0.485533\pi\)
\(684\) −2036.58 + 554.069i −2.97745 + 0.810043i
\(685\) −563.817 + 1054.83i −0.823090 + 1.53989i
\(686\) 291.378 + 161.199i 0.424749 + 0.234985i
\(687\) 547.423 1321.59i 0.796830 1.92372i
\(688\) 260.153 707.608i 0.378130 1.02850i
\(689\) 202.799 84.0023i 0.294339 0.121919i
\(690\) −194.616 + 1720.73i −0.282051 + 2.49381i
\(691\) −84.0978 277.233i −0.121704 0.401206i 0.874826 0.484438i \(-0.160976\pi\)
−0.996530 + 0.0832319i \(0.973476\pi\)
\(692\) 127.730 + 256.529i 0.184581 + 0.370707i
\(693\) −65.8329 668.413i −0.0949970 0.964521i
\(694\) 574.914 834.078i 0.828406 1.20184i
\(695\) −8.99724 + 45.2322i −0.0129457 + 0.0650823i
\(696\) −1664.58 + 799.025i −2.39164 + 1.14802i
\(697\) −14.1061 70.9161i −0.0202383 0.101745i
\(698\) 415.698 165.193i 0.595556 0.236666i
\(699\) 598.853 + 181.660i 0.856728 + 0.259886i
\(700\) −81.9844 130.722i −0.117121 0.186746i
\(701\) 919.934 754.970i 1.31232 1.07699i 0.320781 0.947153i \(-0.396055\pi\)
0.991535 0.129837i \(-0.0414454\pi\)
\(702\) 173.289 542.897i 0.246851 0.773358i
\(703\) −611.898 −0.870409
\(704\) 198.282 1060.38i 0.281650 1.50622i
\(705\) 1296.98i 1.83969i
\(706\) 32.4396 101.630i 0.0459485 0.143952i
\(707\) −72.5429 88.3937i −0.102607 0.125026i
\(708\) 384.583 1678.43i 0.543196 2.37067i
\(709\) −334.295 + 1102.02i −0.471503 + 1.55434i 0.322590 + 0.946539i \(0.395446\pi\)
−0.794093 + 0.607797i \(0.792054\pi\)
\(710\) 1325.64 526.793i 1.86710 0.741962i
\(711\) 729.105 145.028i 1.02546 0.203978i
\(712\) 489.001 + 438.113i 0.686799 + 0.615327i
\(713\) −650.698 129.432i −0.912621 0.181532i
\(714\) 38.6918 56.1336i 0.0541902 0.0786184i
\(715\) 424.121 41.7722i 0.593176 0.0584227i
\(716\) −1056.95 354.277i −1.47619 0.494800i
\(717\) −1456.60 + 441.855i −2.03152 + 0.616255i
\(718\) 32.0899 283.730i 0.0446935 0.395167i
\(719\) −347.165 838.131i −0.482844 1.16569i −0.958252 0.285924i \(-0.907699\pi\)
0.475408 0.879766i \(-0.342301\pi\)
\(720\) 2461.47 + 387.042i 3.41871 + 0.537559i
\(721\) −20.1161 8.33238i −0.0279003 0.0115567i
\(722\) 312.327 + 172.789i 0.432586 + 0.239320i
\(723\) −509.256 272.203i −0.704365 0.376491i
\(724\) 86.2336 + 49.3475i 0.119107 + 0.0681595i
\(725\) 571.783 696.719i 0.788666 0.960992i
\(726\) −384.416 + 1796.54i −0.529499 + 2.47458i
\(727\) 245.100 + 366.818i 0.337139 + 0.504564i 0.960842 0.277098i \(-0.0893726\pi\)
−0.623703 + 0.781661i \(0.714373\pi\)
\(728\) 17.7155 + 48.6286i 0.0243344 + 0.0667976i
\(729\) −735.347 + 1100.52i −1.00871 + 1.50964i
\(730\) 456.671 + 6.59802i 0.625577 + 0.00903839i
\(731\) −143.401 + 76.6493i −0.196171 + 0.104855i
\(732\) 473.775 + 501.976i 0.647233 + 0.685760i
\(733\) 687.239 + 67.6871i 0.937570 + 0.0923426i 0.555246 0.831686i \(-0.312624\pi\)
0.382324 + 0.924028i \(0.375124\pi\)
\(734\) −65.6695 + 5.51124i −0.0894680 + 0.00750850i
\(735\) 1253.68 1253.68i 1.70568 1.70568i
\(736\) 707.278 + 121.708i 0.960976 + 0.165364i
\(737\) 285.932 285.932i 0.387968 0.387968i
\(738\) −727.117 614.522i −0.985254 0.832685i
\(739\) −1272.74 125.354i −1.72225 0.169627i −0.811993 0.583668i \(-0.801617\pi\)
−0.910258 + 0.414041i \(0.864117\pi\)
\(740\) 659.136 + 295.613i 0.890725 + 0.399477i
\(741\) −425.491 + 227.429i −0.574211 + 0.306922i
\(742\) 149.748 145.482i 0.201816 0.196067i
\(743\) −555.598 + 831.511i −0.747776 + 1.11913i 0.241117 + 0.970496i \(0.422486\pi\)
−0.988893 + 0.148630i \(0.952514\pi\)
\(744\) −316.413 + 1294.71i −0.425286 + 1.74020i
\(745\) −337.976 505.817i −0.453659 0.678949i
\(746\) 416.790 269.863i 0.558700 0.361747i
\(747\) −1833.73 + 2234.41i −2.45479 + 2.99118i
\(748\) −184.038 + 142.340i −0.246040 + 0.190295i
\(749\) 209.961 + 112.226i 0.280321 + 0.149835i
\(750\) 223.146 64.1852i 0.297528 0.0855802i
\(751\) −416.012 172.318i −0.553944 0.229451i 0.0881095 0.996111i \(-0.471917\pi\)
−0.642054 + 0.766660i \(0.721917\pi\)
\(752\) 536.613 + 31.0445i 0.713581 + 0.0412826i
\(753\) 648.240 + 1564.99i 0.860876 + 2.07834i
\(754\) −236.432 + 188.385i