Properties

Label 43.2.g.a.24.1
Level $43$
Weight $2$
Character 43.24
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 24.1
Character \(\chi\) \(=\) 43.24
Dual form 43.2.g.a.9.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.44188 + 1.80806i) q^{2} +(2.66973 - 0.402397i) q^{3} +(-0.745019 - 3.26414i) q^{4} +(-2.09843 + 1.43068i) q^{5} +(-3.12187 + 5.40724i) q^{6} +(-1.09365 - 1.89425i) q^{7} +(2.80884 + 1.35267i) q^{8} +(4.09883 - 1.26432i) q^{9} +O(q^{10})\) \(q+(-1.44188 + 1.80806i) q^{2} +(2.66973 - 0.402397i) q^{3} +(-0.745019 - 3.26414i) q^{4} +(-2.09843 + 1.43068i) q^{5} +(-3.12187 + 5.40724i) q^{6} +(-1.09365 - 1.89425i) q^{7} +(2.80884 + 1.35267i) q^{8} +(4.09883 - 1.26432i) q^{9} +(0.438918 - 5.85695i) q^{10} +(0.694710 - 3.04372i) q^{11} +(-3.30249 - 8.41460i) q^{12} +(0.257224 + 3.43242i) q^{13} +(5.00182 + 0.753903i) q^{14} +(-5.02653 + 4.66394i) q^{15} +(-0.462659 + 0.222805i) q^{16} +(-1.92873 - 1.31499i) q^{17} +(-3.62405 + 9.23392i) q^{18} +(-3.23214 - 0.996984i) q^{19} +(6.23332 + 5.78368i) q^{20} +(-3.68198 - 4.61706i) q^{21} +(4.50154 + 5.64475i) q^{22} +(4.82527 + 4.47719i) q^{23} +(8.04316 + 2.48099i) q^{24} +(0.529835 - 1.35000i) q^{25} +(-6.57690 - 4.48405i) q^{26} +(3.13647 - 1.51045i) q^{27} +(-5.36832 + 4.98107i) q^{28} +(-5.34977 - 0.806349i) q^{29} +(-1.18503 - 15.8131i) q^{30} +(0.778473 + 1.98352i) q^{31} +(-1.12320 + 4.92105i) q^{32} +(0.629903 - 8.40547i) q^{33} +(5.15856 - 1.59121i) q^{34} +(5.00501 + 2.41028i) q^{35} +(-7.18063 - 12.4372i) q^{36} +(-1.73964 + 3.01315i) q^{37} +(6.46296 - 4.40637i) q^{38} +(2.06792 + 9.06013i) q^{39} +(-7.82938 + 1.18009i) q^{40} +(1.33098 - 1.66900i) q^{41} +13.6569 q^{42} +(6.03879 + 2.55598i) q^{43} -10.4527 q^{44} +(-6.79225 + 8.51721i) q^{45} +(-15.0525 + 2.26880i) q^{46} +(0.260214 + 1.14007i) q^{47} +(-1.14552 + 0.781003i) q^{48} +(1.10788 - 1.91890i) q^{49} +(1.67692 + 2.90450i) q^{50} +(-5.67834 - 2.73454i) q^{51} +(11.0123 - 3.39683i) q^{52} +(0.777332 - 10.3728i) q^{53} +(-1.79144 + 7.84880i) q^{54} +(2.89680 + 7.38094i) q^{55} +(-0.509588 - 6.79998i) q^{56} +(-9.03014 - 1.36108i) q^{57} +(9.17165 - 8.51004i) q^{58} +(-5.53586 + 2.66593i) q^{59} +(18.9686 + 12.9326i) q^{60} +(0.913867 - 2.32849i) q^{61} +(-4.70878 - 1.45247i) q^{62} +(-6.87761 - 6.38149i) q^{63} +(-7.91838 - 9.92933i) q^{64} +(-5.45047 - 6.83467i) q^{65} +(14.2893 + 13.2586i) q^{66} +(9.87998 + 3.04757i) q^{67} +(-2.85536 + 7.27534i) q^{68} +(14.6838 + 10.0112i) q^{69} +(-11.5745 + 5.57401i) q^{70} +(8.30629 - 7.70711i) q^{71} +(13.2232 + 1.99307i) q^{72} +(0.624897 + 8.33868i) q^{73} +(-2.93960 - 7.48997i) q^{74} +(0.871282 - 3.81734i) q^{75} +(-0.846290 + 11.2930i) q^{76} +(-6.52534 + 2.01280i) q^{77} +(-19.3629 - 9.32469i) q^{78} +(-4.90787 - 8.50067i) q^{79} +(0.652093 - 1.12946i) q^{80} +(-2.86645 + 1.95431i) q^{81} +(1.09853 + 4.81298i) q^{82} +(-2.83709 + 0.427622i) q^{83} +(-12.3276 + 15.4583i) q^{84} +5.92862 q^{85} +(-13.3286 + 7.23307i) q^{86} -14.6069 q^{87} +(6.06847 - 7.60962i) q^{88} +(14.8273 - 2.23486i) q^{89} +(-5.60602 - 24.5616i) q^{90} +(6.22054 - 4.24110i) q^{91} +(11.0193 - 19.0860i) q^{92} +(2.87648 + 4.98220i) q^{93} +(-2.43652 - 1.17336i) q^{94} +(8.20879 - 2.53207i) q^{95} +(-1.01842 + 13.5899i) q^{96} +(0.939509 - 4.11626i) q^{97} +(1.87206 + 4.76993i) q^{98} +(-1.00075 - 13.3540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.44188 + 1.80806i −1.01956 + 1.27849i −0.0596408 + 0.998220i \(0.518996\pi\)
−0.959921 + 0.280270i \(0.909576\pi\)
\(3\) 2.66973 0.402397i 1.54137 0.232324i 0.677305 0.735703i \(-0.263148\pi\)
0.864066 + 0.503378i \(0.167910\pi\)
\(4\) −0.745019 3.26414i −0.372510 1.63207i
\(5\) −2.09843 + 1.43068i −0.938445 + 0.639821i −0.932889 0.360164i \(-0.882721\pi\)
−0.00555574 + 0.999985i \(0.501768\pi\)
\(6\) −3.12187 + 5.40724i −1.27450 + 2.20750i
\(7\) −1.09365 1.89425i −0.413359 0.715959i 0.581895 0.813264i \(-0.302311\pi\)
−0.995255 + 0.0973044i \(0.968978\pi\)
\(8\) 2.80884 + 1.35267i 0.993075 + 0.478240i
\(9\) 4.09883 1.26432i 1.36628 0.421440i
\(10\) 0.438918 5.85695i 0.138798 1.85213i
\(11\) 0.694710 3.04372i 0.209463 0.917717i −0.755462 0.655192i \(-0.772588\pi\)
0.964925 0.262525i \(-0.0845552\pi\)
\(12\) −3.30249 8.41460i −0.953345 2.42908i
\(13\) 0.257224 + 3.43242i 0.0713411 + 0.951981i 0.911940 + 0.410323i \(0.134584\pi\)
−0.840599 + 0.541658i \(0.817797\pi\)
\(14\) 5.00182 + 0.753903i 1.33679 + 0.201489i
\(15\) −5.02653 + 4.66394i −1.29785 + 1.20422i
\(16\) −0.462659 + 0.222805i −0.115665 + 0.0557012i
\(17\) −1.92873 1.31499i −0.467785 0.318931i 0.306385 0.951908i \(-0.400880\pi\)
−0.774171 + 0.632977i \(0.781833\pi\)
\(18\) −3.62405 + 9.23392i −0.854196 + 2.17646i
\(19\) −3.23214 0.996984i −0.741505 0.228724i −0.0990872 0.995079i \(-0.531592\pi\)
−0.642418 + 0.766355i \(0.722068\pi\)
\(20\) 6.23332 + 5.78368i 1.39381 + 1.29327i
\(21\) −3.68198 4.61706i −0.803474 1.00753i
\(22\) 4.50154 + 5.64475i 0.959732 + 1.20347i
\(23\) 4.82527 + 4.47719i 1.00614 + 0.933560i 0.997793 0.0664056i \(-0.0211531\pi\)
0.00834519 + 0.999965i \(0.497344\pi\)
\(24\) 8.04316 + 2.48099i 1.64180 + 0.506429i
\(25\) 0.529835 1.35000i 0.105967 0.269999i
\(26\) −6.57690 4.48405i −1.28984 0.879395i
\(27\) 3.13647 1.51045i 0.603614 0.290685i
\(28\) −5.36832 + 4.98107i −1.01452 + 0.941334i
\(29\) −5.34977 0.806349i −0.993428 0.149735i −0.367840 0.929889i \(-0.619903\pi\)
−0.625588 + 0.780154i \(0.715141\pi\)
\(30\) −1.18503 15.8131i −0.216356 2.88706i
\(31\) 0.778473 + 1.98352i 0.139818 + 0.356250i 0.983581 0.180465i \(-0.0577602\pi\)
−0.843764 + 0.536715i \(0.819665\pi\)
\(32\) −1.12320 + 4.92105i −0.198555 + 0.869928i
\(33\) 0.629903 8.40547i 0.109652 1.46321i
\(34\) 5.15856 1.59121i 0.884686 0.272890i
\(35\) 5.00501 + 2.41028i 0.846000 + 0.407412i
\(36\) −7.18063 12.4372i −1.19677 2.07287i
\(37\) −1.73964 + 3.01315i −0.285996 + 0.495359i −0.972850 0.231436i \(-0.925658\pi\)
0.686855 + 0.726795i \(0.258991\pi\)
\(38\) 6.46296 4.40637i 1.04843 0.714808i
\(39\) 2.06792 + 9.06013i 0.331131 + 1.45078i
\(40\) −7.82938 + 1.18009i −1.23793 + 0.186588i
\(41\) 1.33098 1.66900i 0.207864 0.260653i −0.666961 0.745093i \(-0.732405\pi\)
0.874825 + 0.484440i \(0.160976\pi\)
\(42\) 13.6569 2.10730
\(43\) 6.03879 + 2.55598i 0.920907 + 0.389783i
\(44\) −10.4527 −1.57581
\(45\) −6.79225 + 8.51721i −1.01253 + 1.26967i
\(46\) −15.0525 + 2.26880i −2.21937 + 0.334516i
\(47\) 0.260214 + 1.14007i 0.0379561 + 0.166297i 0.990354 0.138562i \(-0.0442480\pi\)
−0.952398 + 0.304859i \(0.901391\pi\)
\(48\) −1.14552 + 0.781003i −0.165342 + 0.112728i
\(49\) 1.10788 1.91890i 0.158268 0.274129i
\(50\) 1.67692 + 2.90450i 0.237152 + 0.410759i
\(51\) −5.67834 2.73454i −0.795126 0.382913i
\(52\) 11.0123 3.39683i 1.52713 0.471056i
\(53\) 0.777332 10.3728i 0.106775 1.42481i −0.644391 0.764696i \(-0.722889\pi\)
0.751166 0.660113i \(-0.229492\pi\)
\(54\) −1.79144 + 7.84880i −0.243784 + 1.06809i
\(55\) 2.89680 + 7.38094i 0.390605 + 0.995245i
\(56\) −0.509588 6.79998i −0.0680966 0.908686i
\(57\) −9.03014 1.36108i −1.19607 0.180279i
\(58\) 9.17165 8.51004i 1.20430 1.11742i
\(59\) −5.53586 + 2.66593i −0.720708 + 0.347075i −0.758022 0.652229i \(-0.773834\pi\)
0.0373140 + 0.999304i \(0.488120\pi\)
\(60\) 18.9686 + 12.9326i 2.44884 + 1.66959i
\(61\) 0.913867 2.32849i 0.117009 0.298133i −0.860356 0.509693i \(-0.829759\pi\)
0.977365 + 0.211560i \(0.0678543\pi\)
\(62\) −4.70878 1.45247i −0.598015 0.184463i
\(63\) −6.87761 6.38149i −0.866497 0.803992i
\(64\) −7.91838 9.92933i −0.989797 1.24117i
\(65\) −5.45047 6.83467i −0.676047 0.847736i
\(66\) 14.2893 + 13.2586i 1.75890 + 1.63202i
\(67\) 9.87998 + 3.04757i 1.20703 + 0.372320i 0.832044 0.554710i \(-0.187171\pi\)
0.374988 + 0.927030i \(0.377647\pi\)
\(68\) −2.85536 + 7.27534i −0.346263 + 0.882264i
\(69\) 14.6838 + 10.0112i 1.76772 + 1.20521i
\(70\) −11.5745 + 5.57401i −1.38342 + 0.666221i
\(71\) 8.30629 7.70711i 0.985776 0.914666i −0.0105816 0.999944i \(-0.503368\pi\)
0.996357 + 0.0852780i \(0.0271778\pi\)
\(72\) 13.2232 + 1.99307i 1.55836 + 0.234886i
\(73\) 0.624897 + 8.33868i 0.0731387 + 0.975968i 0.906217 + 0.422813i \(0.138957\pi\)
−0.833078 + 0.553155i \(0.813424\pi\)
\(74\) −2.93960 7.48997i −0.341721 0.870692i
\(75\) 0.871282 3.81734i 0.100607 0.440788i
\(76\) −0.846290 + 11.2930i −0.0970761 + 1.29539i
\(77\) −6.52534 + 2.01280i −0.743631 + 0.229380i
\(78\) −19.3629 9.32469i −2.19242 1.05581i
\(79\) −4.90787 8.50067i −0.552178 0.956400i −0.998117 0.0613371i \(-0.980464\pi\)
0.445939 0.895063i \(-0.352870\pi\)
\(80\) 0.652093 1.12946i 0.0729062 0.126277i
\(81\) −2.86645 + 1.95431i −0.318495 + 0.217146i
\(82\) 1.09853 + 4.81298i 0.121312 + 0.531505i
\(83\) −2.83709 + 0.427622i −0.311411 + 0.0469376i −0.302888 0.953026i \(-0.597951\pi\)
−0.00852244 + 0.999964i \(0.502713\pi\)
\(84\) −12.3276 + 15.4583i −1.34505 + 1.68664i
\(85\) 5.92862 0.643049
\(86\) −13.3286 + 7.23307i −1.43726 + 0.779962i
\(87\) −14.6069 −1.56603
\(88\) 6.06847 7.60962i 0.646901 0.811188i
\(89\) 14.8273 2.23486i 1.57169 0.236894i 0.695381 0.718641i \(-0.255236\pi\)
0.876311 + 0.481747i \(0.159997\pi\)
\(90\) −5.60602 24.5616i −0.590926 2.58902i
\(91\) 6.22054 4.24110i 0.652090 0.444588i
\(92\) 11.0193 19.0860i 1.14884 1.98985i
\(93\) 2.87648 + 4.98220i 0.298277 + 0.516630i
\(94\) −2.43652 1.17336i −0.251307 0.121023i
\(95\) 8.20879 2.53207i 0.842204 0.259785i
\(96\) −1.01842 + 13.5899i −0.103942 + 1.38701i
\(97\) 0.939509 4.11626i 0.0953927 0.417943i −0.904572 0.426320i \(-0.859810\pi\)
0.999965 + 0.00837767i \(0.00266673\pi\)
\(98\) 1.87206 + 4.76993i 0.189107 + 0.481836i
\(99\) −1.00075 13.3540i −0.100579 1.34213i
\(100\) −4.80132 0.723683i −0.480132 0.0723683i
\(101\) −0.0681687 + 0.0632513i −0.00678304 + 0.00629374i −0.683557 0.729897i \(-0.739568\pi\)
0.676774 + 0.736191i \(0.263377\pi\)
\(102\) 13.1317 6.32388i 1.30023 0.626158i
\(103\) −11.8798 8.09950i −1.17055 0.798068i −0.187655 0.982235i \(-0.560089\pi\)
−0.982895 + 0.184167i \(0.941041\pi\)
\(104\) −3.92041 + 9.98905i −0.384428 + 0.979507i
\(105\) 14.3319 + 4.42081i 1.39865 + 0.431427i
\(106\) 17.6338 + 16.3617i 1.71274 + 1.58919i
\(107\) 7.87307 + 9.87252i 0.761118 + 0.954412i 0.999861 0.0166707i \(-0.00530671\pi\)
−0.238743 + 0.971083i \(0.576735\pi\)
\(108\) −7.26704 9.11258i −0.699272 0.876859i
\(109\) −10.5760 9.81311i −1.01300 0.939926i −0.0147987 0.999890i \(-0.504711\pi\)
−0.998201 + 0.0599646i \(0.980901\pi\)
\(110\) −17.5220 5.40482i −1.67066 0.515330i
\(111\) −3.43190 + 8.74433i −0.325741 + 0.829975i
\(112\) 0.928034 + 0.632723i 0.0876909 + 0.0597867i
\(113\) −11.0000 + 5.29730i −1.03479 + 0.498328i −0.872602 0.488432i \(-0.837569\pi\)
−0.162187 + 0.986760i \(0.551855\pi\)
\(114\) 15.4813 14.3645i 1.44995 1.34536i
\(115\) −16.5309 2.49163i −1.54152 0.232346i
\(116\) 1.35365 + 18.0632i 0.125683 + 1.67712i
\(117\) 5.39400 + 13.7437i 0.498675 + 1.27060i
\(118\) 3.16188 13.8531i 0.291075 1.27528i
\(119\) −0.381564 + 5.09162i −0.0349779 + 0.466748i
\(120\) −20.4275 + 6.30104i −1.86477 + 0.575204i
\(121\) 1.12903 + 0.543713i 0.102639 + 0.0494284i
\(122\) 2.89237 + 5.00973i 0.261863 + 0.453560i
\(123\) 2.88176 4.99136i 0.259840 0.450055i
\(124\) 5.89451 4.01881i 0.529342 0.360899i
\(125\) −2.00612 8.78939i −0.179433 0.786147i
\(126\) 21.4548 3.23379i 1.91134 0.288089i
\(127\) 4.22668 5.30009i 0.375057 0.470307i −0.558101 0.829773i \(-0.688470\pi\)
0.933158 + 0.359466i \(0.117041\pi\)
\(128\) 19.2749 1.70368
\(129\) 17.1505 + 4.39379i 1.51001 + 0.386852i
\(130\) 20.2164 1.77309
\(131\) −1.63388 + 2.04883i −0.142753 + 0.179007i −0.848068 0.529887i \(-0.822234\pi\)
0.705315 + 0.708894i \(0.250806\pi\)
\(132\) −27.9060 + 4.20615i −2.42890 + 0.366098i
\(133\) 1.64628 + 7.21284i 0.142751 + 0.625432i
\(134\) −19.7559 + 13.4694i −1.70665 + 1.16357i
\(135\) −4.42069 + 7.65686i −0.380472 + 0.658997i
\(136\) −3.63875 6.30251i −0.312021 0.540436i
\(137\) −3.39110 1.63307i −0.289721 0.139522i 0.283378 0.959008i \(-0.408545\pi\)
−0.573099 + 0.819486i \(0.694259\pi\)
\(138\) −39.2731 + 12.1142i −3.34315 + 1.03123i
\(139\) −1.36892 + 18.2669i −0.116110 + 1.54938i 0.569854 + 0.821746i \(0.307000\pi\)
−0.685964 + 0.727635i \(0.740619\pi\)
\(140\) 4.13869 18.1328i 0.349783 1.53250i
\(141\) 1.15346 + 2.93898i 0.0971393 + 0.247507i
\(142\) 1.95825 + 26.1310i 0.164332 + 2.19286i
\(143\) 10.6260 + 1.60162i 0.888593 + 0.133934i
\(144\) −1.61466 + 1.49819i −0.134555 + 0.124849i
\(145\) 12.3797 5.96177i 1.02808 0.495098i
\(146\) −15.9778 10.8935i −1.32234 0.901553i
\(147\) 2.18558 5.56876i 0.180263 0.459304i
\(148\) 11.1314 + 3.43359i 0.914997 + 0.282239i
\(149\) 8.95319 + 8.30735i 0.733474 + 0.680564i 0.955671 0.294437i \(-0.0951322\pi\)
−0.222197 + 0.975002i \(0.571323\pi\)
\(150\) 5.64568 + 7.07946i 0.460968 + 0.578036i
\(151\) −5.29170 6.63559i −0.430633 0.539996i 0.518415 0.855129i \(-0.326522\pi\)
−0.949048 + 0.315133i \(0.897951\pi\)
\(152\) −7.72999 7.17238i −0.626985 0.581757i
\(153\) −9.56809 2.95137i −0.773535 0.238604i
\(154\) 5.76948 14.7004i 0.464918 1.18459i
\(155\) −4.47135 3.04852i −0.359148 0.244863i
\(156\) 28.0329 13.4999i 2.24443 1.08086i
\(157\) −14.6338 + 13.5782i −1.16791 + 1.08366i −0.172789 + 0.984959i \(0.555278\pi\)
−0.995117 + 0.0986994i \(0.968532\pi\)
\(158\) 22.4463 + 3.38323i 1.78573 + 0.269155i
\(159\) −2.09871 28.0053i −0.166438 2.22097i
\(160\) −4.68352 11.9334i −0.370265 0.943419i
\(161\) 3.20379 14.0367i 0.252494 1.10625i
\(162\) 0.599561 8.00059i 0.0471060 0.628586i
\(163\) −14.7466 + 4.54872i −1.15504 + 0.356283i −0.812353 0.583166i \(-0.801814\pi\)
−0.342688 + 0.939449i \(0.611337\pi\)
\(164\) −6.43945 3.10108i −0.502837 0.242153i
\(165\) 10.7038 + 18.5395i 0.833287 + 1.44330i
\(166\) 3.31757 5.74620i 0.257493 0.445991i
\(167\) 11.9849 8.17115i 0.927417 0.632302i −0.00252959 0.999997i \(-0.500805\pi\)
0.929947 + 0.367695i \(0.119853\pi\)
\(168\) −4.09676 17.9491i −0.316072 1.38480i
\(169\) 1.13948 0.171748i 0.0876519 0.0132114i
\(170\) −8.54835 + 10.7193i −0.655629 + 0.822132i
\(171\) −14.5085 −1.10949
\(172\) 3.84407 21.6157i 0.293108 1.64818i
\(173\) −3.57561 −0.271849 −0.135924 0.990719i \(-0.543400\pi\)
−0.135924 + 0.990719i \(0.543400\pi\)
\(174\) 21.0614 26.4102i 1.59666 2.00215i
\(175\) −3.13668 + 0.472779i −0.237111 + 0.0357387i
\(176\) 0.356743 + 1.56299i 0.0268905 + 0.117815i
\(177\) −13.7065 + 9.34494i −1.03024 + 0.702409i
\(178\) −17.3384 + 30.0310i −1.29957 + 2.25092i
\(179\) −1.18241 2.04800i −0.0883776 0.153074i 0.818448 0.574581i \(-0.194835\pi\)
−0.906825 + 0.421506i \(0.861502\pi\)
\(180\) 32.8618 + 15.8254i 2.44937 + 1.17955i
\(181\) −12.4501 + 3.84036i −0.925411 + 0.285451i −0.720601 0.693350i \(-0.756134\pi\)
−0.204810 + 0.978802i \(0.565658\pi\)
\(182\) −1.30112 + 17.3622i −0.0964455 + 1.28698i
\(183\) 1.50280 6.58419i 0.111090 0.486718i
\(184\) 7.49726 + 19.1027i 0.552705 + 1.40827i
\(185\) −0.660350 8.81175i −0.0485499 0.647853i
\(186\) −13.1556 1.98289i −0.964618 0.145393i
\(187\) −5.34236 + 4.95698i −0.390672 + 0.362490i
\(188\) 3.52750 1.69875i 0.257269 0.123894i
\(189\) −6.29135 4.28937i −0.457628 0.312006i
\(190\) −7.25793 + 18.4929i −0.526546 + 1.34162i
\(191\) 3.57188 + 1.10178i 0.258452 + 0.0797220i 0.421274 0.906934i \(-0.361583\pi\)
−0.162821 + 0.986656i \(0.552059\pi\)
\(192\) −25.1355 23.3223i −1.81400 1.68314i
\(193\) −10.0175 12.5616i −0.721078 0.904203i 0.277320 0.960777i \(-0.410554\pi\)
−0.998398 + 0.0565743i \(0.981982\pi\)
\(194\) 6.08778 + 7.63383i 0.437077 + 0.548077i
\(195\) −17.3015 16.0535i −1.23899 1.14961i
\(196\) −7.08896 2.18665i −0.506354 0.156190i
\(197\) −7.38782 + 18.8239i −0.526360 + 1.34114i 0.382466 + 0.923969i \(0.375075\pi\)
−0.908826 + 0.417174i \(0.863020\pi\)
\(198\) 25.5878 + 17.4455i 1.81845 + 1.23980i
\(199\) 8.36213 4.02699i 0.592776 0.285466i −0.113347 0.993556i \(-0.536157\pi\)
0.706123 + 0.708090i \(0.250443\pi\)
\(200\) 3.31432 3.07524i 0.234358 0.217452i
\(201\) 27.6032 + 4.16052i 1.94698 + 0.293460i
\(202\) −0.0160711 0.214454i −0.00113076 0.0150889i
\(203\) 4.32333 + 11.0157i 0.303438 + 0.773148i
\(204\) −4.69547 + 20.5722i −0.328749 + 1.44034i
\(205\) −0.405159 + 5.40648i −0.0282976 + 0.377605i
\(206\) 31.7736 9.80085i 2.21377 0.682858i
\(207\) 25.4386 + 12.2506i 1.76810 + 0.851473i
\(208\) −0.883767 1.53073i −0.0612782 0.106137i
\(209\) −5.27995 + 9.14514i −0.365222 + 0.632582i
\(210\) −28.6580 + 19.5387i −1.97759 + 1.34830i
\(211\) 2.24730 + 9.84606i 0.154710 + 0.677831i 0.991478 + 0.130273i \(0.0415853\pi\)
−0.836768 + 0.547558i \(0.815558\pi\)
\(212\) −34.4373 + 5.19059i −2.36517 + 0.356491i
\(213\) 19.0743 23.9184i 1.30695 1.63886i
\(214\) −29.2021 −1.99621
\(215\) −16.3288 + 3.27606i −1.11361 + 0.223425i
\(216\) 10.8530 0.738451
\(217\) 2.90590 3.64389i 0.197266 0.247363i
\(218\) 32.9920 4.97275i 2.23450 0.336797i
\(219\) 5.02377 + 22.0106i 0.339475 + 1.48734i
\(220\) 21.9343 14.9545i 1.47881 1.00823i
\(221\) 4.01746 6.95845i 0.270244 0.468076i
\(222\) −10.8619 18.8133i −0.729002 1.26267i
\(223\) 9.65689 + 4.65051i 0.646673 + 0.311421i 0.728317 0.685240i \(-0.240303\pi\)
−0.0816442 + 0.996662i \(0.526017\pi\)
\(224\) 10.5501 3.25427i 0.704907 0.217435i
\(225\) 0.464872 6.20329i 0.0309915 0.413553i
\(226\) 6.28278 27.5266i 0.417924 1.83105i
\(227\) −6.20740 15.8162i −0.412000 1.04976i −0.974783 0.223154i \(-0.928365\pi\)
0.562784 0.826604i \(-0.309730\pi\)
\(228\) 2.28489 + 30.4897i 0.151320 + 2.01923i
\(229\) 1.15664 + 0.174336i 0.0764332 + 0.0115204i 0.187147 0.982332i \(-0.440076\pi\)
−0.110714 + 0.993852i \(0.535314\pi\)
\(230\) 28.3406 26.2962i 1.86872 1.73392i
\(231\) −16.6110 + 7.99942i −1.09292 + 0.526323i
\(232\) −13.9359 9.50136i −0.914939 0.623795i
\(233\) 6.82313 17.3850i 0.446998 1.13893i −0.512867 0.858468i \(-0.671416\pi\)
0.959865 0.280464i \(-0.0904883\pi\)
\(234\) −32.6269 10.0641i −2.13288 0.657908i
\(235\) −2.17712 2.02008i −0.142020 0.131775i
\(236\) 12.8263 + 16.0837i 0.834922 + 1.04696i
\(237\) −16.5233 20.7196i −1.07331 1.34588i
\(238\) −8.65578 8.03139i −0.561071 0.520598i
\(239\) 15.1552 + 4.67477i 0.980310 + 0.302386i 0.743179 0.669092i \(-0.233317\pi\)
0.237130 + 0.971478i \(0.423793\pi\)
\(240\) 1.28642 3.27775i 0.0830383 0.211578i
\(241\) −2.54236 1.73335i −0.163768 0.111655i 0.478663 0.877999i \(-0.341122\pi\)
−0.642431 + 0.766344i \(0.722074\pi\)
\(242\) −2.61099 + 1.25739i −0.167841 + 0.0808279i
\(243\) −14.5220 + 13.4744i −0.931586 + 0.864386i
\(244\) −8.28139 1.24822i −0.530161 0.0799090i
\(245\) 0.420538 + 5.61170i 0.0268672 + 0.358518i
\(246\) 4.86951 + 12.4073i 0.310469 + 0.791062i
\(247\) 2.59068 11.3505i 0.164841 0.722216i
\(248\) −0.496430 + 6.62439i −0.0315233 + 0.420649i
\(249\) −7.40219 + 2.28327i −0.469095 + 0.144697i
\(250\) 18.7843 + 9.04605i 1.18802 + 0.572122i
\(251\) 5.80972 + 10.0627i 0.366706 + 0.635154i 0.989048 0.147592i \(-0.0471521\pi\)
−0.622342 + 0.782745i \(0.713819\pi\)
\(252\) −15.7061 + 27.2038i −0.989394 + 1.71368i
\(253\) 16.9795 11.5764i 1.06749 0.727804i
\(254\) 3.48851 + 15.2842i 0.218889 + 0.959014i
\(255\) 15.8278 2.38566i 0.991178 0.149396i
\(256\) −11.9553 + 14.9915i −0.747209 + 0.936970i
\(257\) −24.8591 −1.55067 −0.775335 0.631550i \(-0.782419\pi\)
−0.775335 + 0.631550i \(0.782419\pi\)
\(258\) −32.6731 + 24.6737i −2.03414 + 1.53612i
\(259\) 7.61021 0.472876
\(260\) −18.2486 + 22.8831i −1.13173 + 1.41915i
\(261\) −22.9473 + 3.45875i −1.42040 + 0.214091i
\(262\) −1.34853 5.90832i −0.0833128 0.365017i
\(263\) 3.05043 2.07975i 0.188098 0.128243i −0.465610 0.884990i \(-0.654165\pi\)
0.653708 + 0.756747i \(0.273213\pi\)
\(264\) 13.1391 22.7576i 0.808656 1.40063i
\(265\) 13.2090 + 22.8786i 0.811421 + 1.40542i
\(266\) −15.4150 7.42346i −0.945152 0.455161i
\(267\) 38.6856 11.9329i 2.36752 0.730284i
\(268\) 2.58693 34.5202i 0.158022 2.10866i
\(269\) −4.94582 + 21.6690i −0.301552 + 1.32118i 0.566233 + 0.824245i \(0.308400\pi\)
−0.867785 + 0.496940i \(0.834457\pi\)
\(270\) −7.46995 19.0331i −0.454606 1.15832i
\(271\) 0.545250 + 7.27585i 0.0331216 + 0.441977i 0.988970 + 0.148116i \(0.0473210\pi\)
−0.955848 + 0.293860i \(0.905060\pi\)
\(272\) 1.18533 + 0.178660i 0.0718712 + 0.0108328i
\(273\) 14.9006 13.8257i 0.901824 0.836771i
\(274\) 7.84223 3.77662i 0.473766 0.228154i
\(275\) −3.74094 2.55053i −0.225587 0.153803i
\(276\) 21.7384 55.3885i 1.30850 3.33400i
\(277\) 7.04754 + 2.17388i 0.423446 + 0.130616i 0.499152 0.866514i \(-0.333645\pi\)
−0.0757063 + 0.997130i \(0.524121\pi\)
\(278\) −31.0539 28.8138i −1.86249 1.72814i
\(279\) 5.69863 + 7.14586i 0.341168 + 0.427811i
\(280\) 10.7980 + 13.5402i 0.645301 + 0.809182i
\(281\) 14.0185 + 13.0073i 0.836276 + 0.775951i 0.976806 0.214125i \(-0.0686901\pi\)
−0.140530 + 0.990076i \(0.544881\pi\)
\(282\) −6.97700 2.15212i −0.415474 0.128157i
\(283\) 7.23358 18.4309i 0.429992 1.09560i −0.537627 0.843183i \(-0.680679\pi\)
0.967618 0.252418i \(-0.0812257\pi\)
\(284\) −31.3455 21.3710i −1.86001 1.26813i
\(285\) 20.8964 10.0632i 1.23779 0.596090i
\(286\) −18.2172 + 16.9031i −1.07721 + 0.999503i
\(287\) −4.61712 0.695918i −0.272540 0.0410788i
\(288\) 1.61799 + 21.5906i 0.0953413 + 1.27224i
\(289\) −4.21999 10.7524i −0.248235 0.632491i
\(290\) −7.07085 + 30.9794i −0.415215 + 1.81917i
\(291\) 0.851866 11.3674i 0.0499373 0.666367i
\(292\) 26.7531 8.25223i 1.56561 0.482925i
\(293\) −9.89064 4.76308i −0.577817 0.278262i 0.122063 0.992522i \(-0.461049\pi\)
−0.699880 + 0.714260i \(0.746763\pi\)
\(294\) 6.91731 + 11.9811i 0.403425 + 0.698753i
\(295\) 7.80250 13.5143i 0.454279 0.786835i
\(296\) −8.96217 + 6.11030i −0.520915 + 0.355154i
\(297\) −2.41844 10.5959i −0.140332 0.614835i
\(298\) −27.9296 + 4.20971i −1.61792 + 0.243862i
\(299\) −14.1264 + 17.7140i −0.816952 + 1.02443i
\(300\) −13.1095 −0.756875
\(301\) −1.76263 14.2343i −0.101596 0.820452i
\(302\) 19.6275 1.12944
\(303\) −0.156540 + 0.196295i −0.00899299 + 0.0112769i
\(304\) 1.71751 0.258874i 0.0985062 0.0148474i
\(305\) 1.41365 + 6.19363i 0.0809456 + 0.354646i
\(306\) 19.1323 13.0442i 1.09372 0.745685i
\(307\) 0.404766 0.701075i 0.0231012 0.0400124i −0.854244 0.519873i \(-0.825979\pi\)
0.877345 + 0.479860i \(0.159313\pi\)
\(308\) 11.4316 + 19.8001i 0.651374 + 1.12821i
\(309\) −34.9751 16.8431i −1.98966 0.958171i
\(310\) 11.9590 3.68888i 0.679228 0.209514i
\(311\) −0.814411 + 10.8676i −0.0461810 + 0.616243i 0.925317 + 0.379195i \(0.123799\pi\)
−0.971498 + 0.237048i \(0.923820\pi\)
\(312\) −6.44689 + 28.2457i −0.364983 + 1.59910i
\(313\) 5.87609 + 14.9720i 0.332136 + 0.846269i 0.995214 + 0.0977190i \(0.0311546\pi\)
−0.663078 + 0.748551i \(0.730750\pi\)
\(314\) −3.44999 46.0369i −0.194694 2.59801i
\(315\) 23.5620 + 3.55141i 1.32757 + 0.200099i
\(316\) −24.0910 + 22.3531i −1.35522 + 1.25746i
\(317\) 1.20889 0.582170i 0.0678980 0.0326980i −0.399627 0.916678i \(-0.630860\pi\)
0.467525 + 0.883980i \(0.345146\pi\)
\(318\) 53.6613 + 36.5857i 3.00918 + 2.05162i
\(319\) −6.17084 + 15.7230i −0.345501 + 0.880322i
\(320\) 30.8218 + 9.50728i 1.72299 + 0.531473i
\(321\) 24.9917 + 23.1889i 1.39490 + 1.29428i
\(322\) 20.7597 + 26.0319i 1.15690 + 1.45070i
\(323\) 4.92291 + 6.17313i 0.273918 + 0.343482i
\(324\) 8.51472 + 7.90051i 0.473040 + 0.438917i
\(325\) 4.77004 + 1.47136i 0.264594 + 0.0816165i
\(326\) 13.0384 33.2214i 0.722132 1.83996i
\(327\) −32.1839 21.9426i −1.77977 1.21343i
\(328\) 5.99610 2.88757i 0.331079 0.159439i
\(329\) 1.87500 1.73975i 0.103372 0.0959153i
\(330\) −48.9540 7.37862i −2.69483 0.406180i
\(331\) −2.32022 30.9612i −0.127531 1.70178i −0.583766 0.811922i \(-0.698422\pi\)
0.456235 0.889859i \(-0.349198\pi\)
\(332\) 3.50950 + 8.94207i 0.192609 + 0.490760i
\(333\) −3.32091 + 14.5499i −0.181985 + 0.797327i
\(334\) −2.50682 + 33.4511i −0.137167 + 1.83036i
\(335\) −25.0925 + 7.74002i −1.37095 + 0.422882i
\(336\) 2.73221 + 1.31576i 0.149054 + 0.0717807i
\(337\) −8.79414 15.2319i −0.479047 0.829734i 0.520664 0.853762i \(-0.325684\pi\)
−0.999711 + 0.0240275i \(0.992351\pi\)
\(338\) −1.33245 + 2.30788i −0.0724759 + 0.125532i
\(339\) −27.2353 + 18.5687i −1.47922 + 1.00852i
\(340\) −4.41694 19.3519i −0.239542 1.04950i
\(341\) 6.57809 0.991487i 0.356223 0.0536920i
\(342\) 20.9195 26.2322i 1.13120 1.41848i
\(343\) −20.1575 −1.08841
\(344\) 13.5046 + 15.3478i 0.728119 + 0.827498i
\(345\) −45.1357 −2.43003
\(346\) 5.15560 6.46492i 0.277167 0.347556i
\(347\) 10.2678 1.54762i 0.551204 0.0830806i 0.132466 0.991188i \(-0.457711\pi\)
0.418738 + 0.908107i \(0.362472\pi\)
\(348\) 10.8825 + 47.6791i 0.583361 + 2.55587i
\(349\) 2.49302 1.69971i 0.133448 0.0909834i −0.494756 0.869032i \(-0.664743\pi\)
0.628204 + 0.778048i \(0.283790\pi\)
\(350\) 3.66790 6.35300i 0.196058 0.339582i
\(351\) 5.99126 + 10.3772i 0.319790 + 0.553892i
\(352\) 14.1980 + 6.83741i 0.756757 + 0.364435i
\(353\) −26.0698 + 8.04147i −1.38756 + 0.428004i −0.896469 0.443106i \(-0.853876\pi\)
−0.491087 + 0.871111i \(0.663400\pi\)
\(354\) 2.86692 38.2564i 0.152375 2.03331i
\(355\) −6.40371 + 28.0565i −0.339874 + 1.48908i
\(356\) −18.3415 46.7335i −0.972099 2.47687i
\(357\) 1.03018 + 13.7468i 0.0545230 + 0.727558i
\(358\) 5.40779 + 0.815093i 0.285811 + 0.0430790i
\(359\) 8.13180 7.54521i 0.429180 0.398221i −0.435787 0.900050i \(-0.643530\pi\)
0.864967 + 0.501829i \(0.167339\pi\)
\(360\) −30.5993 + 14.7358i −1.61272 + 0.776647i
\(361\) −6.24576 4.25829i −0.328724 0.224120i
\(362\) 11.0080 28.0479i 0.578567 1.47416i
\(363\) 3.23300 + 0.997248i 0.169688 + 0.0523420i
\(364\) −18.4780 17.1451i −0.968509 0.898645i
\(365\) −13.2413 16.6041i −0.693082 0.869097i
\(366\) 9.73775 + 12.2108i 0.509000 + 0.638266i
\(367\) 20.0449 + 18.5989i 1.04633 + 0.970855i 0.999606 0.0280524i \(-0.00893051\pi\)
0.0467268 + 0.998908i \(0.485121\pi\)
\(368\) −3.23000 0.996322i −0.168375 0.0519369i
\(369\) 3.34531 8.52372i 0.174150 0.443727i
\(370\) 16.8843 + 11.5115i 0.877773 + 0.598456i
\(371\) −20.4987 + 9.87167i −1.06424 + 0.512512i
\(372\) 14.1196 13.1011i 0.732067 0.679259i
\(373\) −1.06601 0.160675i −0.0551958 0.00831943i 0.121386 0.992605i \(-0.461266\pi\)
−0.176582 + 0.984286i \(0.556504\pi\)
\(374\) −1.25948 16.8067i −0.0651264 0.869052i
\(375\) −8.89263 22.6581i −0.459214 1.17006i
\(376\) −0.811238 + 3.55427i −0.0418364 + 0.183297i
\(377\) 1.39163 18.5701i 0.0716728 0.956407i
\(378\) 16.8268 5.19038i 0.865477 0.266964i
\(379\) 2.72408 + 1.31185i 0.139927 + 0.0673851i 0.502537 0.864556i \(-0.332400\pi\)
−0.362610 + 0.931941i \(0.618114\pi\)
\(380\) −14.3808 24.9082i −0.737717 1.27776i
\(381\) 9.15136 15.8506i 0.468839 0.812052i
\(382\) −7.14231 + 4.86954i −0.365432 + 0.249147i
\(383\) −4.48641 19.6562i −0.229245 1.00439i −0.950258 0.311465i \(-0.899180\pi\)
0.721013 0.692922i \(-0.243677\pi\)
\(384\) 51.4589 7.75618i 2.62600 0.395806i
\(385\) 10.8133 13.5594i 0.551095 0.691051i
\(386\) 37.1562 1.89120
\(387\) 27.9835 + 2.84155i 1.42248 + 0.144444i
\(388\) −14.1360 −0.717647
\(389\) −5.67821 + 7.12025i −0.287897 + 0.361011i −0.904657 0.426140i \(-0.859873\pi\)
0.616761 + 0.787151i \(0.288445\pi\)
\(390\) 53.9724 8.13502i 2.73300 0.411933i
\(391\) −3.41919 14.9804i −0.172916 0.757594i
\(392\) 5.70748 3.89130i 0.288271 0.196540i
\(393\) −3.53759 + 6.12729i −0.178448 + 0.309081i
\(394\) −23.3823 40.4993i −1.17798 2.04033i
\(395\) 22.4606 + 10.8164i 1.13011 + 0.544234i
\(396\) −42.8439 + 13.2156i −2.15299 + 0.664109i
\(397\) −1.77959 + 23.7470i −0.0893152 + 1.19183i 0.754906 + 0.655834i \(0.227683\pi\)
−0.844221 + 0.535996i \(0.819936\pi\)
\(398\) −4.77614 + 20.9257i −0.239406 + 1.04891i
\(399\) 7.29756 + 18.5939i 0.365335 + 0.930858i
\(400\) 0.0556531 + 0.742639i 0.00278265 + 0.0371319i
\(401\) −5.83102 0.878885i −0.291187 0.0438894i 0.00182424 0.999998i \(-0.499419\pi\)
−0.293011 + 0.956109i \(0.594657\pi\)
\(402\) −47.3230 + 43.9093i −2.36025 + 2.19000i
\(403\) −6.60802 + 3.18225i −0.329169 + 0.158519i
\(404\) 0.257248 + 0.175389i 0.0127986 + 0.00872593i
\(405\) 3.21903 8.20196i 0.159955 0.407559i
\(406\) −26.1507 8.06642i −1.29784 0.400330i
\(407\) 7.96265 + 7.38826i 0.394694 + 0.366222i
\(408\) −12.2506 15.3618i −0.606496 0.760522i
\(409\) 17.4884 + 21.9297i 0.864744 + 1.08435i 0.995670 + 0.0929626i \(0.0296337\pi\)
−0.130925 + 0.991392i \(0.541795\pi\)
\(410\) −9.19103 8.52803i −0.453913 0.421170i
\(411\) −9.71046 2.99528i −0.478982 0.147746i
\(412\) −17.5873 + 44.8116i −0.866462 + 2.20771i
\(413\) 11.1042 + 7.57073i 0.546403 + 0.372531i
\(414\) −58.8290 + 28.3306i −2.89129 + 1.39237i
\(415\) 5.34163 4.95630i 0.262210 0.243295i
\(416\) −17.1800 2.58947i −0.842320 0.126959i
\(417\) 3.69592 + 49.3187i 0.180990 + 2.41515i
\(418\) −8.92190 22.7326i −0.436384 1.11189i
\(419\) 4.15386 18.1993i 0.202930 0.889092i −0.766212 0.642588i \(-0.777861\pi\)
0.969142 0.246505i \(-0.0792821\pi\)
\(420\) 3.75260 50.0750i 0.183108 2.44341i
\(421\) 28.4499 8.77563i 1.38656 0.427698i 0.490429 0.871481i \(-0.336840\pi\)
0.896134 + 0.443783i \(0.146364\pi\)
\(422\) −21.0426 10.1336i −1.02434 0.493295i
\(423\) 2.50799 + 4.34397i 0.121943 + 0.211211i
\(424\) 16.2143 28.0840i 0.787436 1.36388i
\(425\) −2.79713 + 1.90705i −0.135681 + 0.0925057i
\(426\) 15.7430 + 68.9747i 0.762752 + 3.34184i
\(427\) −5.41020 + 0.815456i −0.261818 + 0.0394627i
\(428\) 26.3597 33.0540i 1.27415 1.59773i
\(429\) 29.0131 1.40077
\(430\) 17.6208 34.2470i 0.849749 1.65154i
\(431\) −5.00624 −0.241142 −0.120571 0.992705i \(-0.538473\pi\)
−0.120571 + 0.992705i \(0.538473\pi\)
\(432\) −1.11458 + 1.39764i −0.0536254 + 0.0672441i
\(433\) 11.5286 1.73766i 0.554031 0.0835068i 0.133941 0.990989i \(-0.457237\pi\)
0.420090 + 0.907482i \(0.361999\pi\)
\(434\) 2.39840 + 10.5081i 0.115127 + 0.504404i
\(435\) 30.6516 20.8979i 1.46963 1.00198i
\(436\) −24.1521 + 41.8326i −1.15667 + 2.00342i
\(437\) −11.1323 19.2817i −0.532529 0.922367i
\(438\) −47.0401 22.6533i −2.24766 1.08242i
\(439\) −1.49477 + 0.461075i −0.0713414 + 0.0220059i −0.330220 0.943904i \(-0.607123\pi\)
0.258879 + 0.965910i \(0.416647\pi\)
\(440\) −1.84728 + 24.6503i −0.0880658 + 1.17516i
\(441\) 2.11490 9.26596i 0.100709 0.441236i
\(442\) 6.78859 + 17.2970i 0.322900 + 0.822736i
\(443\) −0.829554 11.0696i −0.0394133 0.525934i −0.981613 0.190882i \(-0.938865\pi\)
0.942200 0.335052i \(-0.108754\pi\)
\(444\) 31.0996 + 4.68751i 1.47592 + 0.222459i
\(445\) −27.9166 + 25.9029i −1.32338 + 1.22791i
\(446\) −22.3324 + 10.7547i −1.05747 + 0.509252i
\(447\) 27.2455 + 18.5757i 1.28867 + 0.878598i
\(448\) −10.1487 + 25.8585i −0.479483 + 1.22170i
\(449\) −26.5331 8.18438i −1.25217 0.386245i −0.403412 0.915019i \(-0.632176\pi\)
−0.848763 + 0.528774i \(0.822652\pi\)
\(450\) 10.5456 + 9.78490i 0.497125 + 0.461265i
\(451\) −4.15532 5.21060i −0.195666 0.245358i
\(452\) 25.4863 + 31.9589i 1.19878 + 1.50322i
\(453\) −16.7976 15.5859i −0.789219 0.732288i
\(454\) 37.5469 + 11.5817i 1.76216 + 0.543556i
\(455\) −6.98569 + 17.7993i −0.327494 + 0.834442i
\(456\) −23.5231 16.0378i −1.10157 0.751039i
\(457\) 24.3111 11.7076i 1.13722 0.547658i 0.232051 0.972704i \(-0.425456\pi\)
0.905172 + 0.425046i \(0.139742\pi\)
\(458\) −1.98295 + 1.83991i −0.0926571 + 0.0859732i
\(459\) −8.03562 1.21117i −0.375071 0.0565328i
\(460\) 4.18280 + 55.8156i 0.195024 + 2.60242i
\(461\) 9.46767 + 24.1232i 0.440953 + 1.12353i 0.962734 + 0.270451i \(0.0871728\pi\)
−0.521780 + 0.853080i \(0.674732\pi\)
\(462\) 9.48757 41.5678i 0.441402 1.93391i
\(463\) 0.770586 10.2828i 0.0358122 0.477880i −0.950248 0.311493i \(-0.899171\pi\)
0.986061 0.166387i \(-0.0532101\pi\)
\(464\) 2.65478 0.818891i 0.123245 0.0380161i
\(465\) −13.1640 6.33946i −0.610467 0.293985i
\(466\) 21.5951 + 37.4037i 1.00037 + 1.73269i
\(467\) 3.41277 5.91110i 0.157924 0.273533i −0.776196 0.630492i \(-0.782853\pi\)
0.934120 + 0.356959i \(0.116186\pi\)
\(468\) 40.8427 27.8461i 1.88795 1.28719i
\(469\) −5.03234 22.0481i −0.232372 1.01809i
\(470\) 6.79156 1.02366i 0.313271 0.0472181i
\(471\) −33.6045 + 42.1388i −1.54842 + 1.94165i
\(472\) −19.1555 −0.881702
\(473\) 11.9749 16.6047i 0.550606 0.763486i
\(474\) 61.2869 2.81500
\(475\) −3.05843 + 3.83515i −0.140330 + 0.175969i
\(476\) 16.9041 2.54788i 0.774796 0.116782i
\(477\) −9.92836 43.4990i −0.454589 1.99168i
\(478\) −30.3042 + 20.6611i −1.38608 + 0.945016i
\(479\) −7.24872 + 12.5552i −0.331203 + 0.573660i −0.982748 0.184950i \(-0.940788\pi\)
0.651545 + 0.758610i \(0.274121\pi\)
\(480\) −17.3057 29.9744i −0.789894 1.36814i
\(481\) −10.7899 5.19613i −0.491976 0.236923i
\(482\) 6.79976 2.09745i 0.309721 0.0955362i
\(483\) 2.90492 38.7635i 0.132179 1.76380i
\(484\) 0.933606 4.09040i 0.0424366 0.185927i
\(485\) 3.91757 + 9.98181i 0.177888 + 0.453251i
\(486\) −3.42363 45.6851i −0.155299 2.07232i
\(487\) 3.03944 + 0.458123i 0.137730 + 0.0207595i 0.217546 0.976050i \(-0.430195\pi\)
−0.0798152 + 0.996810i \(0.525433\pi\)
\(488\) 5.71658 5.30421i 0.258777 0.240110i
\(489\) −37.5390 + 18.0778i −1.69757 + 0.817508i
\(490\) −10.7526 7.33102i −0.485755 0.331182i
\(491\) 0.599753 1.52815i 0.0270665 0.0689643i −0.916702 0.399572i \(-0.869159\pi\)
0.943768 + 0.330608i \(0.107254\pi\)
\(492\) −18.4395 5.68782i −0.831316 0.256427i
\(493\) 9.25793 + 8.59010i 0.416956 + 0.386879i
\(494\) 16.7869 + 21.0502i 0.755280 + 0.947092i
\(495\) 21.2054 + 26.5907i 0.953111 + 1.19516i
\(496\) −0.802105 0.744245i −0.0360156 0.0334176i
\(497\) −23.6833 7.30534i −1.06234 0.327689i
\(498\) 6.54476 16.6758i 0.293278 0.747260i
\(499\) 28.2528 + 19.2624i 1.26477 + 0.862305i 0.994927 0.100599i \(-0.0320760\pi\)
0.269843 + 0.962904i \(0.413028\pi\)
\(500\) −27.1952 + 13.0965i −1.21621 + 0.585695i
\(501\) 28.7083 26.6375i 1.28259 1.19007i
\(502\) −26.5709 4.00492i −1.18592 0.178748i
\(503\) −1.88051 25.0937i −0.0838478 1.11887i −0.867422 0.497573i \(-0.834225\pi\)
0.783574 0.621298i \(-0.213394\pi\)
\(504\) −10.6861 27.2277i −0.475996 1.21282i
\(505\) 0.0525544 0.230256i 0.00233864 0.0102463i
\(506\) −3.55152 + 47.3917i −0.157884 + 2.10682i
\(507\) 2.97298 0.917044i 0.132035 0.0407273i
\(508\) −20.4492 9.84782i −0.907287 0.436926i
\(509\) −2.57282 4.45626i −0.114038 0.197520i 0.803357 0.595498i \(-0.203045\pi\)
−0.917395 + 0.397978i \(0.869712\pi\)
\(510\) −18.5084 + 32.0575i −0.819566 + 1.41953i
\(511\) 15.1121 10.3033i 0.668521 0.455790i
\(512\) −1.28925 5.64858i −0.0569774 0.249634i
\(513\) −11.6434 + 1.75496i −0.514070 + 0.0774835i
\(514\) 35.8438 44.9468i 1.58100 1.98252i
\(515\) 36.5167 1.60912
\(516\) 1.56452 59.2551i 0.0688743 2.60856i
\(517\) 3.65084 0.160564
\(518\) −10.9730 + 13.7597i −0.482126 + 0.604567i
\(519\) −9.54593 + 1.43882i −0.419020 + 0.0631571i
\(520\) −6.06446 26.5702i −0.265944 1.16518i
\(521\) −19.7648 + 13.4754i −0.865910 + 0.590367i −0.912742 0.408535i \(-0.866040\pi\)
0.0468326 + 0.998903i \(0.485087\pi\)
\(522\) 26.8336 46.4771i 1.17447 2.03425i
\(523\) 15.5493 + 26.9322i 0.679925 + 1.17766i 0.975003 + 0.222192i \(0.0713211\pi\)
−0.295078 + 0.955473i \(0.595346\pi\)
\(524\) 7.90494 + 3.80682i 0.345329 + 0.166302i
\(525\) −8.18386 + 2.52439i −0.357173 + 0.110173i
\(526\) −0.638044 + 8.51411i −0.0278200 + 0.371233i
\(527\) 1.10683 4.84935i 0.0482143 0.211241i
\(528\) 1.58135 + 4.02922i 0.0688195 + 0.175349i
\(529\) 1.51915 + 20.2716i 0.0660500 + 0.881375i
\(530\) −60.4116 9.10558i −2.62411 0.395521i
\(531\) −19.3200 + 17.9263i −0.838415 + 0.777935i
\(532\) 22.3172 10.7474i 0.967574 0.465959i
\(533\) 6.07105 + 4.13917i 0.262966 + 0.179288i
\(534\) −34.2045 + 87.1518i −1.48018 + 3.77143i
\(535\) −30.6455 9.45288i −1.32492 0.408684i
\(536\) 23.6289 + 21.9244i 1.02061 + 0.946992i
\(537\) −3.98083 4.99180i −0.171786 0.215412i
\(538\) −32.0476 40.1864i −1.38167 1.73256i
\(539\) −5.07095 4.70515i −0.218421 0.202665i
\(540\) 28.2866 + 8.72525i 1.21726 + 0.375475i
\(541\) 14.4954 36.9338i 0.623208 1.58791i −0.174363 0.984681i \(-0.555787\pi\)
0.797571 0.603226i \(-0.206118\pi\)
\(542\) −13.9414 9.50505i −0.598832 0.408277i
\(543\) −31.6932 + 15.2626i −1.36008 + 0.654982i
\(544\) 8.63746 8.01439i 0.370328 0.343614i
\(545\) 36.2325 + 5.46116i 1.55203 + 0.233931i
\(546\) 3.51288 + 46.8761i 0.150337 + 2.00611i
\(547\) −11.8825 30.2760i −0.508057 1.29451i −0.923049 0.384683i \(-0.874311\pi\)
0.414991 0.909825i \(-0.363785\pi\)
\(548\) −2.80413 + 12.2857i −0.119786 + 0.524819i
\(549\) 0.801818 10.6995i 0.0342208 0.456644i
\(550\) 10.0055 3.08628i 0.426635 0.131599i
\(551\) 16.4873 + 7.93987i 0.702383 + 0.338250i
\(552\) 27.7025 + 47.9822i 1.17910 + 2.04226i
\(553\) −10.7349 + 18.5935i −0.456496 + 0.790674i
\(554\) −14.0922 + 9.60789i −0.598720 + 0.408200i
\(555\) −5.30878 23.2593i −0.225345 0.987302i
\(556\) 60.6458 9.14088i 2.57195 0.387660i
\(557\) 1.95247 2.44832i 0.0827289 0.103739i −0.738745 0.673986i \(-0.764581\pi\)
0.821473 + 0.570247i \(0.193152\pi\)
\(558\) −21.1369 −0.894794
\(559\) −7.21987 + 21.3851i −0.305368 + 0.904493i
\(560\) −2.85264 −0.120546
\(561\) −12.2680 + 15.3836i −0.517955 + 0.649495i
\(562\) −43.7310 + 6.59139i −1.84468 + 0.278041i
\(563\) 6.72355 + 29.4578i 0.283364 + 1.24150i 0.893450 + 0.449163i \(0.148278\pi\)
−0.610086 + 0.792335i \(0.708865\pi\)
\(564\) 8.73390 5.95467i 0.367764 0.250737i
\(565\) 15.5039 26.8535i 0.652252 1.12973i
\(566\) 22.8941 + 39.6538i 0.962312 + 1.66677i
\(567\) 6.83684 + 3.29245i 0.287120 + 0.138270i
\(568\) 33.7562 10.4124i 1.41638 0.436895i
\(569\) 0.616751 8.22997i 0.0258555 0.345018i −0.969241 0.246112i \(-0.920847\pi\)
0.995097 0.0989057i \(-0.0315342\pi\)
\(570\) −11.9352 + 52.2917i −0.499912 + 2.19026i
\(571\) −10.6006 27.0098i −0.443620 1.13033i −0.961484 0.274862i \(-0.911368\pi\)
0.517864 0.855463i \(-0.326727\pi\)
\(572\) −2.68869 35.8781i −0.112420 1.50014i
\(573\) 9.97933 + 1.50414i 0.416892 + 0.0628364i
\(574\) 7.91558 7.34459i 0.330390 0.306557i
\(575\) 8.60080 4.14192i 0.358678 0.172730i
\(576\) −45.0099 30.6872i −1.87541 1.27864i
\(577\) −5.97389 + 15.2212i −0.248696 + 0.633668i −0.999644 0.0266942i \(-0.991502\pi\)
0.750947 + 0.660362i \(0.229597\pi\)
\(578\) 25.5256 + 7.87360i 1.06172 + 0.327499i
\(579\) −31.7989 29.5051i −1.32152 1.22619i
\(580\) −28.6832 35.9676i −1.19101 1.49347i
\(581\) 3.91279 + 4.90648i 0.162330 + 0.203555i
\(582\) 19.3246 + 17.9306i 0.801029 + 0.743247i
\(583\) −31.0318 9.57205i −1.28521 0.396434i
\(584\) −9.52421 + 24.2673i −0.394115 + 1.00419i
\(585\) −30.9818 21.1230i −1.28094 0.873329i
\(586\) 22.8730 11.0151i 0.944876 0.455028i
\(587\) 17.5967 16.3274i 0.726294 0.673902i −0.227699 0.973732i \(-0.573120\pi\)
0.953993 + 0.299830i \(0.0969298\pi\)
\(588\) −19.8055 2.98520i −0.816766 0.123108i
\(589\) −0.538601 7.18714i −0.0221927 0.296141i
\(590\) 13.1844 + 33.5934i 0.542795 + 1.38302i
\(591\) −12.1488 + 53.2275i −0.499736 + 2.18949i
\(592\) 0.133517 1.78166i 0.00548752 0.0732259i
\(593\) 39.7443 12.2595i 1.63210 0.503438i 0.662695 0.748889i \(-0.269412\pi\)
0.969409 + 0.245451i \(0.0789362\pi\)
\(594\) 22.6450 + 10.9053i 0.929138 + 0.447449i
\(595\) −6.48381 11.2303i −0.265810 0.460397i
\(596\) 20.4461 35.4136i 0.837504 1.45060i
\(597\) 20.7042 14.1159i 0.847367 0.577725i
\(598\) −11.6593 51.0828i −0.476785 2.08893i
\(599\) 16.5902 2.50057i 0.677856 0.102170i 0.198914 0.980017i \(-0.436259\pi\)
0.478942 + 0.877847i \(0.341020\pi\)
\(600\) 7.61087 9.54373i 0.310713 0.389621i
\(601\) 3.26297 0.133099 0.0665496 0.997783i \(-0.478801\pi\)
0.0665496 + 0.997783i \(0.478801\pi\)
\(602\) 28.2780 + 17.3372i 1.15252 + 0.706612i
\(603\) 44.3495 1.80605
\(604\) −17.7171 + 22.2165i −0.720898 + 0.903978i
\(605\) −3.14707 + 0.474344i −0.127947 + 0.0192848i
\(606\) −0.129201 0.566067i −0.00524844 0.0229949i
\(607\) 29.4413 20.0727i 1.19499 0.814728i 0.208412 0.978041i \(-0.433171\pi\)
0.986574 + 0.163314i \(0.0522182\pi\)
\(608\) 8.53655 14.7857i 0.346203 0.599641i
\(609\) 15.9748 + 27.6692i 0.647332 + 1.12121i
\(610\) −13.2368 6.37449i −0.535941 0.258095i
\(611\) −3.84627 + 1.18642i −0.155604 + 0.0479973i
\(612\) −2.50527 + 33.4305i −0.101269 + 1.35135i
\(613\) −4.85086 + 21.2530i −0.195924 + 0.858400i 0.777407 + 0.628997i \(0.216534\pi\)
−0.973332 + 0.229403i \(0.926323\pi\)
\(614\) 0.683961 + 1.74270i 0.0276024 + 0.0703298i
\(615\) 1.09389 + 14.5969i 0.0441097 + 0.588603i
\(616\) −21.0513 3.17297i −0.848180 0.127843i
\(617\) −7.66377 + 7.11094i −0.308532 + 0.286276i −0.819207 0.573498i \(-0.805586\pi\)
0.510675 + 0.859774i \(0.329396\pi\)
\(618\) 80.8831 38.9512i 3.25360 1.56685i
\(619\) −29.4072 20.0495i −1.18197 0.805856i −0.197313 0.980340i \(-0.563222\pi\)
−0.984660 + 0.174485i \(0.944174\pi\)
\(620\) −6.61955 + 16.8663i −0.265848 + 0.677368i
\(621\) 21.8969 + 6.75429i 0.878691 + 0.271040i
\(622\) −18.4749 17.1422i −0.740776 0.687340i
\(623\) −20.4492 25.6425i −0.819280 1.02734i
\(624\) −2.97538 3.73101i −0.119111 0.149360i
\(625\) 22.1001 + 20.5059i 0.884002 + 0.820234i
\(626\) −35.5429 10.9635i −1.42058 0.438191i
\(627\) −10.4161 + 26.5397i −0.415978 + 1.05989i
\(628\) 55.2237 + 37.6509i 2.20366 + 1.50243i
\(629\) 7.31755 3.52395i 0.291770 0.140509i
\(630\) −40.3947 + 37.4808i −1.60936 + 1.49327i
\(631\) 2.47757 + 0.373434i 0.0986307 + 0.0148662i 0.198172 0.980167i \(-0.436499\pi\)
−0.0995415 + 0.995033i \(0.531738\pi\)
\(632\) −2.28684 30.5157i −0.0909655 1.21385i
\(633\) 9.96172 + 25.3820i 0.395943 + 1.00885i
\(634\) −0.690473 + 3.02516i −0.0274222 + 0.120145i
\(635\) −1.28663 + 17.1689i −0.0510584 + 0.681327i
\(636\) −89.8498 + 27.7150i −3.56278 + 1.09897i
\(637\) 6.87144 + 3.30911i 0.272256 + 0.131112i
\(638\) −19.5306 33.8280i −0.773223 1.33926i
\(639\) 24.3018 42.0920i 0.961365 1.66513i
\(640\) −40.4470 + 27.5763i −1.59881 + 1.09005i
\(641\) 4.07453 + 17.8517i 0.160934 + 0.705099i 0.989419 + 0.145087i \(0.0463462\pi\)
−0.828485 + 0.560012i \(0.810797\pi\)
\(642\) −77.9618 + 11.7508i −3.07691 + 0.463769i
\(643\) −24.5104 + 30.7351i −0.966596 + 1.21207i 0.0106459 + 0.999943i \(0.496611\pi\)
−0.977242 + 0.212129i \(0.931960\pi\)
\(644\) −48.2048 −1.89953
\(645\) −42.2751 + 15.3168i −1.66458 + 0.603100i
\(646\) −18.2596 −0.718415
\(647\) −12.5557 + 15.7443i −0.493615 + 0.618973i −0.964776 0.263074i \(-0.915264\pi\)
0.471161 + 0.882047i \(0.343835\pi\)
\(648\) −10.6949 + 1.61200i −0.420137 + 0.0633254i
\(649\) 4.26854 + 18.7017i 0.167555 + 0.734105i
\(650\) −9.53813 + 6.50298i −0.374116 + 0.255068i
\(651\) 6.29169 10.8975i 0.246591 0.427108i
\(652\) 25.8342 + 44.7461i 1.01174 + 1.75239i
\(653\) 15.7461 + 7.58290i 0.616191 + 0.296742i 0.715822 0.698283i \(-0.246052\pi\)
−0.0996314 + 0.995024i \(0.531766\pi\)
\(654\) 86.0788 26.5518i 3.36595 1.03826i
\(655\) 0.497366 6.63688i 0.0194337 0.259324i
\(656\) −0.243930 + 1.06873i −0.00952385 + 0.0417267i
\(657\) 13.1041 + 33.3887i 0.511240 + 1.30262i
\(658\) 0.442040 + 5.89861i 0.0172325 + 0.229952i
\(659\) −21.9925 3.31483i −0.856705 0.129128i −0.294021 0.955799i \(-0.594993\pi\)
−0.562685 + 0.826672i \(0.690231\pi\)
\(660\) 52.5410 48.7509i 2.04515 1.89763i
\(661\) 32.1228 15.4695i 1.24943 0.601695i 0.312073 0.950058i \(-0.398977\pi\)
0.937360 + 0.348364i \(0.113263\pi\)
\(662\) 59.3251 + 40.4472i 2.30574 + 1.57202i
\(663\) 7.92549 20.1938i 0.307800 0.784263i
\(664\) −8.54735 2.63651i −0.331702 0.102316i
\(665\) −13.7739 12.7803i −0.534128 0.495599i
\(666\) −21.5186 26.9835i −0.833830 1.04559i
\(667\) −22.2039 27.8428i −0.859739 1.07808i
\(668\) −35.6008 33.0327i −1.37743 1.27807i
\(669\) 27.6527 + 8.52971i 1.06911 + 0.329778i
\(670\) 22.1860 56.5289i 0.857118 2.18390i
\(671\) −6.45242 4.39918i −0.249093 0.169829i
\(672\) 26.8564 12.9334i 1.03601 0.498915i
\(673\) −36.7476 + 34.0968i −1.41652 + 1.31434i −0.532858 + 0.846205i \(0.678882\pi\)
−0.883659 + 0.468131i \(0.844927\pi\)
\(674\) 40.2202 + 6.06222i 1.54923 + 0.233508i
\(675\) −0.377285 5.03452i −0.0145217 0.193779i
\(676\) −1.40954 3.59145i −0.0542132 0.138133i
\(677\) −4.39828 + 19.2701i −0.169040 + 0.740611i 0.817344 + 0.576150i \(0.195446\pi\)
−0.986384 + 0.164461i \(0.947412\pi\)
\(678\) 5.69668 76.0169i 0.218780 2.91941i
\(679\) −8.82471 + 2.72206i −0.338661 + 0.104463i
\(680\) 16.6526 + 8.01945i 0.638596 + 0.307532i
\(681\) −22.9365 39.7272i −0.878928 1.52235i
\(682\) −7.69214 + 13.3232i −0.294547 + 0.510171i
\(683\) −29.2387 + 19.9346i −1.11879 + 0.762776i −0.973969 0.226682i \(-0.927212\pi\)
−0.144819 + 0.989458i \(0.546260\pi\)
\(684\) 10.8091 + 47.3579i 0.413297 + 1.81077i
\(685\) 9.45237 1.42471i 0.361156 0.0544356i
\(686\) 29.0647 36.4460i 1.10970 1.39152i
\(687\) 3.15808 0.120488
\(688\) −3.36339 + 0.162924i −0.128228 + 0.00621143i
\(689\) 35.8036 1.36401
\(690\) 65.0803 81.6081i 2.47756 3.10677i
\(691\) 3.92945 0.592270i 0.149484 0.0225310i −0.0738741 0.997268i \(-0.523536\pi\)
0.223358 + 0.974737i \(0.428298\pi\)
\(692\) 2.66390 + 11.6713i 0.101266 + 0.443677i
\(693\) −24.2014 + 16.5002i −0.919336 + 0.626793i
\(694\) −12.0067 + 20.7962i −0.455769 + 0.789415i
\(695\) −23.2616 40.2903i −0.882363 1.52830i
\(696\) −41.0285 19.7583i −1.55518 0.748937i
\(697\) −4.76181 + 1.46882i −0.180366 + 0.0556356i
\(698\) −0.521452 + 6.95830i −0.0197373 + 0.263375i
\(699\) 11.2202 49.1590i 0.424388 1.85937i
\(700\) 3.88011 + 9.88636i 0.146654 + 0.373669i
\(701\) 3.47305 + 46.3446i 0.131175 + 1.75041i 0.543532 + 0.839389i \(0.317087\pi\)
−0.412356 + 0.911023i \(0.635294\pi\)
\(702\) −27.4012 4.13006i −1.03419 0.155879i
\(703\) 8.62684 8.00454i 0.325368 0.301897i
\(704\) −35.7231 + 17.2033i −1.34636 + 0.648375i
\(705\) −6.62521 4.51699i −0.249520 0.170120i
\(706\) 23.0500 58.7305i 0.867500 2.21035i
\(707\) 0.194366 + 0.0599540i 0.00730989 + 0.00225480i
\(708\) 40.7148 + 37.7779i 1.53016 + 1.41978i
\(709\) −3.25494 4.08156i −0.122242 0.153286i 0.716945 0.697130i \(-0.245540\pi\)
−0.839187 + 0.543844i \(0.816968\pi\)
\(710\) −41.4944 52.0323i −1.55726 1.95274i
\(711\) −30.8641 28.6377i −1.15749 1.07400i
\(712\) 44.6706 + 13.7790i 1.67410 + 0.516391i
\(713\) −5.12425 + 13.0564i −0.191905 + 0.488965i
\(714\) −26.3404 17.9586i −0.985766 0.672084i
\(715\) −24.5893 + 11.8416i −0.919589 + 0.442851i
\(716\) −5.80404 + 5.38536i −0.216907 + 0.201260i
\(717\) 42.3415 + 6.38195i 1.58127 + 0.238338i
\(718\) 1.91711 + 25.5820i 0.0715459 + 0.954713i
\(719\) −12.3995 31.5934i −0.462424 1.17824i −0.951951 0.306249i \(-0.900926\pi\)
0.489528 0.871988i \(-0.337169\pi\)
\(720\) 1.24482 5.45391i 0.0463917 0.203255i
\(721\) −2.35020 + 31.3613i −0.0875261 + 1.16795i
\(722\) 16.7049 5.15277i 0.621690 0.191766i
\(723\) −7.48491 3.60454i −0.278367 0.134054i
\(724\) 21.8111 + 37.7779i 0.810602 + 1.40400i
\(725\) −3.92306 + 6.79495i −0.145699 + 0.252358i
\(726\) −6.46467 + 4.40754i −0.239927 + 0.163579i
\(727\) −2.58485 11.3250i −0.0958667 0.420020i 0.904107 0.427307i \(-0.140538\pi\)
−0.999973 + 0.00728718i \(0.997680\pi\)
\(728\) 23.2093 3.49824i 0.860194 0.129653i
\(729\) −26.8586 + 33.6796i −0.994762 + 1.24739i
\(730\) 49.1135 1.81777
\(731\) −8.28611 12.8707i −0.306473 0.476040i
\(732\) −22.6114 −0.835740
\(733\) −15.6208 + 19.5879i −0.576969 + 0.723496i −0.981592 0.190987i \(-0.938831\pi\)
0.404624 + 0.914483i \(0.367402\pi\)
\(734\) −62.5302 + 9.42491i −2.30803 + 0.347880i
\(735\) 3.38086 + 14.8125i 0.124705 + 0.546367i
\(736\) −27.4522 + 18.7166i −1.01190 + 0.689904i
\(737\) 16.1397 27.9547i 0.594513 1.02973i
\(738\) 10.5878 + 18.3387i 0.389744 + 0.675056i
\(739\) 34.3378 + 16.5362i 1.26314 + 0.608294i 0.941002 0.338400i \(-0.109886\pi\)
0.322134 + 0.946694i \(0.395600\pi\)
\(740\) −28.2709 + 8.72040i −1.03926 + 0.320568i
\(741\) 2.34901 31.3453i 0.0862929 1.15150i
\(742\) 11.7081 51.2967i 0.429819 1.88316i
\(743\) 11.6235 + 29.6163i 0.426426 + 1.08652i 0.969121 + 0.246586i \(0.0793089\pi\)
−0.542694 + 0.839930i \(0.682596\pi\)
\(744\) 1.34030 + 17.8851i 0.0491380 + 0.655700i
\(745\) −30.6728 4.62318i −1.12376 0.169380i
\(746\) 1.82756 1.69573i 0.0669118 0.0620851i
\(747\) −11.0881 + 5.33974i −0.405692 + 0.195371i
\(748\) 20.1605 + 13.7452i 0.737140 + 0.502573i
\(749\) 10.0907 25.7106i 0.368705 0.939445i
\(750\) 53.7892 + 16.5918i 1.96410 + 0.605846i
\(751\) 4.15240 + 3.85286i 0.151523 + 0.140593i 0.752292 0.658830i \(-0.228948\pi\)
−0.600769 + 0.799423i \(0.705139\pi\)
\(752\) −0.374405 0.469488i −0.0136531 0.0171205i
\(753\) 19.5596 + 24.5270i 0.712792 + 0.893813i
\(754\) 31.5692 + 29.2919i 1.14968 + 1.06675i
\(755\) 20.5977 + 6.35354i 0.749626 + 0.231229i
\(756\) −9.31394 + 23.7315i −0.338745 + 0.863108i
\(757\) −28.1860 19.2169i −1.02444 0.698450i −0.0702110 0.997532i \(-0.522367\pi\)
−0.954227 + 0.299082i \(0.903320\pi\)
\(758\) −6.29969 + 3.03377i −0.228815 + 0.110192i
\(759\) 40.6724 37.7385i 1.47631 1.36982i
\(760\) 26.4822 + 3.99155i 0.960611 + 0.144789i
\(761\) −0.366937 4.89643i −0.0133014 0.177495i −0.999898 0.0143142i \(-0.995443\pi\)
0.986596 0.163181i \(-0.0521756\pi\)
\(762\) 15.4637 + 39.4009i 0.560191 + 1.42734i
\(763\) −7.02207 + 30.7657i −0.254216 + 1.11379i
\(764\) 0.935246 12.4800i 0.0338360 0.451510i
\(765\) 24.3004 7.49568i 0.878583 0.271007i
\(766\) 42.0085 + 20.2302i 1.51783 + 0.730948i
\(767\) −10.5745 18.3157i −0.381825 0.661340i
\(768\) −25.8850 + 44.8342i −0.934045 + 1.61781i
\(769\) −25.1259 + 17.1305i −0.906062 + 0.617742i −0.924123 0.382095i \(-0.875203\pi\)
0.0180616 + 0.999837i \(0.494250\pi\)
\(770\) 8.92478 + 39.1020i 0.321627 + 1.40914i
\(771\) −66.3672 + 10.0032i −2.39016 + 0.360258i
\(772\) −33.5396 + 42.0573i −1.20712 +