Properties

Label 230.2.g.d.71.1
Level $230$
Weight $2$
Character 230.71
Analytic conductor $1.837$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 71.1
Character \(\chi\) \(=\) 230.71
Dual form 230.2.g.d.81.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.369448 - 2.56957i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(1.07841 - 2.36139i) q^{6} +(1.04688 - 1.20816i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-3.58770 + 1.05344i) q^{9} +O(q^{10})\) \(q+(0.841254 + 0.540641i) q^{2} +(-0.369448 - 2.56957i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(1.07841 - 2.36139i) q^{6} +(1.04688 - 1.20816i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(-3.58770 + 1.05344i) q^{9} +(0.654861 + 0.755750i) q^{10} +(1.45913 - 0.937726i) q^{11} +(2.18389 - 1.40350i) q^{12} +(-2.84790 - 3.28665i) q^{13} +(1.53387 - 0.450385i) q^{14} +(0.369448 - 2.56957i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.474450 + 1.03890i) q^{17} +(-3.58770 - 1.05344i) q^{18} +(1.47276 + 3.22489i) q^{19} +(0.142315 + 0.989821i) q^{20} +(-3.49122 - 2.24367i) q^{21} +1.73447 q^{22} +(4.79580 + 0.0163991i) q^{23} +2.59599 q^{24} +(0.841254 + 0.540641i) q^{25} +(-0.618907 - 4.30459i) q^{26} +(0.797119 + 1.74545i) q^{27} +(1.53387 + 0.450385i) q^{28} +(-3.12354 + 6.83959i) q^{29} +(1.70001 - 1.96192i) q^{30} +(-0.936553 + 6.51387i) q^{31} +(-0.959493 + 0.281733i) q^{32} +(-2.94862 - 3.40289i) q^{33} +(-0.960805 + 0.617472i) q^{34} +(1.34485 - 0.864283i) q^{35} +(-2.44863 - 2.82587i) q^{36} +(-5.21650 + 1.53170i) q^{37} +(-0.504544 + 3.50918i) q^{38} +(-7.39311 + 8.53210i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-2.55719 - 0.750859i) q^{41} +(-1.72398 - 3.77499i) q^{42} +(0.942858 + 6.55772i) q^{43} +(1.45913 + 0.937726i) q^{44} -3.73916 q^{45} +(4.02562 + 2.60660i) q^{46} +10.5533 q^{47} +(2.18389 + 1.40350i) q^{48} +(0.632503 + 4.39915i) q^{49} +(0.415415 + 0.909632i) q^{50} +(2.84481 + 0.835311i) q^{51} +(1.80658 - 3.95586i) q^{52} +(-1.27165 + 1.46756i) q^{53} +(-0.273081 + 1.89932i) q^{54} +(1.66421 - 0.488657i) q^{55} +(1.04688 + 1.20816i) q^{56} +(7.74245 - 4.97577i) q^{57} +(-6.32545 + 4.06512i) q^{58} +(-7.22782 - 8.34135i) q^{59} +(2.49083 - 0.731375i) q^{60} +(0.704444 - 4.89951i) q^{61} +(-4.30954 + 4.97348i) q^{62} +(-2.48315 + 5.43735i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(-1.80658 - 3.95586i) q^{65} +(-0.640797 - 4.45684i) q^{66} +(-3.88786 - 2.49858i) q^{67} -1.14211 q^{68} +(-1.72966 - 12.3292i) q^{69} +1.59863 q^{70} +(6.30235 + 4.05027i) q^{71} +(-0.532138 - 3.70110i) q^{72} +(1.34963 + 2.95528i) q^{73} +(-5.21650 - 1.53170i) q^{74} +(1.07841 - 2.36139i) q^{75} +(-2.32165 + 2.67933i) q^{76} +(0.394607 - 2.74455i) q^{77} +(-10.8323 + 3.18064i) q^{78} +(-10.2348 - 11.8116i) q^{79} +(-0.841254 + 0.540641i) q^{80} +(-5.24620 + 3.37152i) q^{81} +(-1.74530 - 2.01418i) q^{82} +(-3.60813 + 1.05944i) q^{83} +(0.590609 - 4.10778i) q^{84} +(-0.747924 + 0.863150i) q^{85} +(-2.75219 + 6.02645i) q^{86} +(18.7288 + 5.49926i) q^{87} +(0.720525 + 1.57773i) q^{88} +(-2.05573 - 14.2979i) q^{89} +(-3.14558 - 2.02154i) q^{90} -6.95220 q^{91} +(1.97733 + 4.36923i) q^{92} +17.0838 q^{93} +(8.87797 + 5.70552i) q^{94} +(0.504544 + 3.50918i) q^{95} +(1.07841 + 2.36139i) q^{96} +(-4.93151 - 1.44802i) q^{97} +(-1.84627 + 4.04276i) q^{98} +(-4.24708 + 4.90139i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 + 0.540641i 0.594856 + 0.382291i
\(3\) −0.369448 2.56957i −0.213301 1.48354i −0.762031 0.647540i \(-0.775798\pi\)
0.548731 0.835999i \(-0.315111\pi\)
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) 0.959493 + 0.281733i 0.429098 + 0.125995i
\(6\) 1.07841 2.36139i 0.440260 0.964035i
\(7\) 1.04688 1.20816i 0.395683 0.456642i −0.522594 0.852582i \(-0.675036\pi\)
0.918277 + 0.395939i \(0.129581\pi\)
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) −3.58770 + 1.05344i −1.19590 + 0.351148i
\(10\) 0.654861 + 0.755750i 0.207085 + 0.238989i
\(11\) 1.45913 0.937726i 0.439944 0.282735i −0.301859 0.953353i \(-0.597607\pi\)
0.741803 + 0.670618i \(0.233971\pi\)
\(12\) 2.18389 1.40350i 0.630433 0.405155i
\(13\) −2.84790 3.28665i −0.789864 0.911552i 0.207916 0.978147i \(-0.433332\pi\)
−0.997780 + 0.0665949i \(0.978786\pi\)
\(14\) 1.53387 0.450385i 0.409944 0.120371i
\(15\) 0.369448 2.56957i 0.0953910 0.663459i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) −0.474450 + 1.03890i −0.115071 + 0.251971i −0.958401 0.285426i \(-0.907865\pi\)
0.843330 + 0.537397i \(0.180592\pi\)
\(18\) −3.58770 1.05344i −0.845628 0.248299i
\(19\) 1.47276 + 3.22489i 0.337873 + 0.739839i 0.999954 0.00959315i \(-0.00305364\pi\)
−0.662081 + 0.749433i \(0.730326\pi\)
\(20\) 0.142315 + 0.989821i 0.0318226 + 0.221331i
\(21\) −3.49122 2.24367i −0.761846 0.489609i
\(22\) 1.73447 0.369791
\(23\) 4.79580 + 0.0163991i 0.999994 + 0.00341945i
\(24\) 2.59599 0.529904
\(25\) 0.841254 + 0.540641i 0.168251 + 0.108128i
\(26\) −0.618907 4.30459i −0.121378 0.844200i
\(27\) 0.797119 + 1.74545i 0.153406 + 0.335912i
\(28\) 1.53387 + 0.450385i 0.289875 + 0.0851148i
\(29\) −3.12354 + 6.83959i −0.580026 + 1.27008i 0.361259 + 0.932466i \(0.382347\pi\)
−0.941285 + 0.337614i \(0.890380\pi\)
\(30\) 1.70001 1.96192i 0.310378 0.358196i
\(31\) −0.936553 + 6.51387i −0.168210 + 1.16993i 0.714372 + 0.699767i \(0.246713\pi\)
−0.882582 + 0.470159i \(0.844196\pi\)
\(32\) −0.959493 + 0.281733i −0.169616 + 0.0498038i
\(33\) −2.94862 3.40289i −0.513289 0.592367i
\(34\) −0.960805 + 0.617472i −0.164777 + 0.105896i
\(35\) 1.34485 0.864283i 0.227321 0.146091i
\(36\) −2.44863 2.82587i −0.408105 0.470978i
\(37\) −5.21650 + 1.53170i −0.857588 + 0.251811i −0.680828 0.732443i \(-0.738380\pi\)
−0.176760 + 0.984254i \(0.556562\pi\)
\(38\) −0.504544 + 3.50918i −0.0818478 + 0.569264i
\(39\) −7.39311 + 8.53210i −1.18384 + 1.36623i
\(40\) −0.415415 + 0.909632i −0.0656829 + 0.143825i
\(41\) −2.55719 0.750859i −0.399366 0.117264i 0.0758810 0.997117i \(-0.475823\pi\)
−0.475247 + 0.879852i \(0.657641\pi\)
\(42\) −1.72398 3.77499i −0.266016 0.582494i
\(43\) 0.942858 + 6.55772i 0.143784 + 1.00004i 0.926132 + 0.377200i \(0.123113\pi\)
−0.782347 + 0.622842i \(0.785978\pi\)
\(44\) 1.45913 + 0.937726i 0.219972 + 0.141368i
\(45\) −3.73916 −0.557401
\(46\) 4.02562 + 2.60660i 0.593545 + 0.384323i
\(47\) 10.5533 1.53935 0.769675 0.638435i \(-0.220418\pi\)
0.769675 + 0.638435i \(0.220418\pi\)
\(48\) 2.18389 + 1.40350i 0.315217 + 0.202577i
\(49\) 0.632503 + 4.39915i 0.0903575 + 0.628450i
\(50\) 0.415415 + 0.909632i 0.0587486 + 0.128641i
\(51\) 2.84481 + 0.835311i 0.398353 + 0.116967i
\(52\) 1.80658 3.95586i 0.250528 0.548579i
\(53\) −1.27165 + 1.46756i −0.174675 + 0.201585i −0.836336 0.548218i \(-0.815306\pi\)
0.661661 + 0.749803i \(0.269852\pi\)
\(54\) −0.273081 + 1.89932i −0.0371616 + 0.258465i
\(55\) 1.66421 0.488657i 0.224402 0.0658905i
\(56\) 1.04688 + 1.20816i 0.139895 + 0.161447i
\(57\) 7.74245 4.97577i 1.02551 0.659057i
\(58\) −6.32545 + 4.06512i −0.830572 + 0.533776i
\(59\) −7.22782 8.34135i −0.940982 1.08595i −0.996167 0.0874748i \(-0.972120\pi\)
0.0551849 0.998476i \(-0.482425\pi\)
\(60\) 2.49083 0.731375i 0.321565 0.0944201i
\(61\) 0.704444 4.89951i 0.0901948 0.627318i −0.893713 0.448640i \(-0.851909\pi\)
0.983907 0.178679i \(-0.0571823\pi\)
\(62\) −4.30954 + 4.97348i −0.547313 + 0.631632i
\(63\) −2.48315 + 5.43735i −0.312848 + 0.685041i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) −1.80658 3.95586i −0.224079 0.490664i
\(66\) −0.640797 4.45684i −0.0788766 0.548599i
\(67\) −3.88786 2.49858i −0.474978 0.305250i 0.281161 0.959661i \(-0.409280\pi\)
−0.756139 + 0.654411i \(0.772917\pi\)
\(68\) −1.14211 −0.138501
\(69\) −1.72966 12.3292i −0.208227 1.48426i
\(70\) 1.59863 0.191073
\(71\) 6.30235 + 4.05027i 0.747951 + 0.480679i 0.858258 0.513219i \(-0.171547\pi\)
−0.110307 + 0.993898i \(0.535183\pi\)
\(72\) −0.532138 3.70110i −0.0627131 0.436179i
\(73\) 1.34963 + 2.95528i 0.157962 + 0.345889i 0.972021 0.234893i \(-0.0754740\pi\)
−0.814059 + 0.580782i \(0.802747\pi\)
\(74\) −5.21650 1.53170i −0.606406 0.178057i
\(75\) 1.07841 2.36139i 0.124524 0.272670i
\(76\) −2.32165 + 2.67933i −0.266312 + 0.307340i
\(77\) 0.394607 2.74455i 0.0449696 0.312771i
\(78\) −10.8323 + 3.18064i −1.22651 + 0.360137i
\(79\) −10.2348 11.8116i −1.15151 1.32891i −0.935832 0.352447i \(-0.885350\pi\)
−0.215676 0.976465i \(-0.569196\pi\)
\(80\) −0.841254 + 0.540641i −0.0940550 + 0.0604455i
\(81\) −5.24620 + 3.37152i −0.582911 + 0.374614i
\(82\) −1.74530 2.01418i −0.192736 0.222429i
\(83\) −3.60813 + 1.05944i −0.396044 + 0.116289i −0.473689 0.880692i \(-0.657078\pi\)
0.0776452 + 0.996981i \(0.475260\pi\)
\(84\) 0.590609 4.10778i 0.0644408 0.448195i
\(85\) −0.747924 + 0.863150i −0.0811237 + 0.0936218i
\(86\) −2.75219 + 6.02645i −0.296776 + 0.649849i
\(87\) 18.7288 + 5.49926i 2.00793 + 0.589582i
\(88\) 0.720525 + 1.57773i 0.0768083 + 0.168187i
\(89\) −2.05573 14.2979i −0.217907 1.51558i −0.745745 0.666231i \(-0.767906\pi\)
0.527839 0.849345i \(-0.323003\pi\)
\(90\) −3.14558 2.02154i −0.331573 0.213089i
\(91\) −6.95220 −0.728789
\(92\) 1.97733 + 4.36923i 0.206151 + 0.455524i
\(93\) 17.0838 1.77151
\(94\) 8.87797 + 5.70552i 0.915692 + 0.588480i
\(95\) 0.504544 + 3.50918i 0.0517651 + 0.360034i
\(96\) 1.07841 + 2.36139i 0.110065 + 0.241009i
\(97\) −4.93151 1.44802i −0.500719 0.147024i 0.0216135 0.999766i \(-0.493120\pi\)
−0.522332 + 0.852742i \(0.674938\pi\)
\(98\) −1.84627 + 4.04276i −0.186501 + 0.408380i
\(99\) −4.24708 + 4.90139i −0.426847 + 0.492608i
\(100\) −0.142315 + 0.989821i −0.0142315 + 0.0989821i
\(101\) 16.6681 4.89420i 1.65854 0.486991i 0.687555 0.726133i \(-0.258684\pi\)
0.970985 + 0.239142i \(0.0768660\pi\)
\(102\) 1.94160 + 2.24073i 0.192247 + 0.221865i
\(103\) 13.5982 8.73903i 1.33987 0.861082i 0.342938 0.939358i \(-0.388578\pi\)
0.996932 + 0.0782758i \(0.0249415\pi\)
\(104\) 3.65849 2.35117i 0.358745 0.230551i
\(105\) −2.71768 3.13638i −0.265219 0.306079i
\(106\) −1.86321 + 0.547087i −0.180971 + 0.0531378i
\(107\) 2.53340 17.6202i 0.244913 1.70340i −0.381875 0.924214i \(-0.624721\pi\)
0.626787 0.779190i \(-0.284369\pi\)
\(108\) −1.25658 + 1.45017i −0.120914 + 0.139543i
\(109\) −6.80702 + 14.9053i −0.651994 + 1.42767i 0.237804 + 0.971313i \(0.423572\pi\)
−0.889798 + 0.456355i \(0.849155\pi\)
\(110\) 1.66421 + 0.488657i 0.158676 + 0.0465916i
\(111\) 5.86304 + 12.8383i 0.556495 + 1.21855i
\(112\) 0.227508 + 1.58236i 0.0214975 + 0.149519i
\(113\) 6.44191 + 4.13996i 0.606003 + 0.389455i 0.807357 0.590064i \(-0.200897\pi\)
−0.201353 + 0.979519i \(0.564534\pi\)
\(114\) 9.20347 0.861984
\(115\) 4.59692 + 1.36687i 0.428665 + 0.127461i
\(116\) −7.51907 −0.698128
\(117\) 13.6797 + 8.79140i 1.26469 + 0.812765i
\(118\) −1.57076 10.9248i −0.144600 1.00571i
\(119\) 0.758469 + 1.66082i 0.0695288 + 0.152247i
\(120\) 2.49083 + 0.731375i 0.227381 + 0.0667651i
\(121\) −3.31983 + 7.26942i −0.301803 + 0.660857i
\(122\) 3.24149 3.74088i 0.293471 0.338684i
\(123\) −0.984632 + 6.84827i −0.0887813 + 0.617488i
\(124\) −6.31428 + 1.85404i −0.567039 + 0.166498i
\(125\) 0.654861 + 0.755750i 0.0585725 + 0.0675963i
\(126\) −5.02861 + 3.23169i −0.447984 + 0.287902i
\(127\) −11.4264 + 7.34332i −1.01393 + 0.651614i −0.938408 0.345530i \(-0.887699\pi\)
−0.0755239 + 0.997144i \(0.524063\pi\)
\(128\) −0.654861 0.755750i −0.0578821 0.0667995i
\(129\) 16.5022 4.84547i 1.45293 0.426620i
\(130\) 0.618907 4.30459i 0.0542817 0.377538i
\(131\) −2.54221 + 2.93387i −0.222114 + 0.256334i −0.855860 0.517208i \(-0.826971\pi\)
0.633745 + 0.773542i \(0.281517\pi\)
\(132\) 1.87048 4.09577i 0.162804 0.356491i
\(133\) 5.43798 + 1.59674i 0.471533 + 0.138454i
\(134\) −1.91985 4.20387i −0.165849 0.363159i
\(135\) 0.273081 + 1.89932i 0.0235031 + 0.163467i
\(136\) −0.960805 0.617472i −0.0823884 0.0529478i
\(137\) −13.1481 −1.12332 −0.561659 0.827369i \(-0.689837\pi\)
−0.561659 + 0.827369i \(0.689837\pi\)
\(138\) 5.21058 11.3071i 0.443554 0.962524i
\(139\) −10.5815 −0.897511 −0.448756 0.893654i \(-0.648133\pi\)
−0.448756 + 0.893654i \(0.648133\pi\)
\(140\) 1.34485 + 0.864283i 0.113661 + 0.0730453i
\(141\) −3.89888 27.1173i −0.328345 2.28369i
\(142\) 3.11213 + 6.81461i 0.261164 + 0.571870i
\(143\) −7.23742 2.12510i −0.605224 0.177710i
\(144\) 1.55330 3.40126i 0.129442 0.283438i
\(145\) −4.92395 + 5.68254i −0.408911 + 0.471909i
\(146\) −0.462363 + 3.21580i −0.0382654 + 0.266142i
\(147\) 11.0702 3.25051i 0.913058 0.268098i
\(148\) −3.56030 4.10881i −0.292655 0.337742i
\(149\) 13.3484 8.57852i 1.09355 0.702780i 0.135899 0.990723i \(-0.456608\pi\)
0.957648 + 0.287943i \(0.0929713\pi\)
\(150\) 2.18389 1.40350i 0.178313 0.114595i
\(151\) 14.0036 + 16.1611i 1.13960 + 1.31517i 0.942278 + 0.334830i \(0.108679\pi\)
0.197322 + 0.980339i \(0.436775\pi\)
\(152\) −3.40166 + 0.998816i −0.275911 + 0.0810147i
\(153\) 0.607761 4.22707i 0.0491345 0.341738i
\(154\) 1.81578 2.09552i 0.146320 0.168862i
\(155\) −2.73379 + 5.98616i −0.219583 + 0.480820i
\(156\) −10.8323 3.18064i −0.867276 0.254655i
\(157\) −7.68699 16.8322i −0.613489 1.34335i −0.920162 0.391538i \(-0.871943\pi\)
0.306673 0.951815i \(-0.400784\pi\)
\(158\) −2.22424 15.4699i −0.176951 1.23072i
\(159\) 4.24081 + 2.72540i 0.336318 + 0.216139i
\(160\) −1.00000 −0.0790569
\(161\) 5.04044 5.77694i 0.397242 0.455287i
\(162\) −6.23616 −0.489959
\(163\) −6.65182 4.27486i −0.521010 0.334833i 0.253561 0.967319i \(-0.418398\pi\)
−0.774572 + 0.632486i \(0.782034\pi\)
\(164\) −0.379290 2.63802i −0.0296176 0.205995i
\(165\) −1.87048 4.09577i −0.145616 0.318855i
\(166\) −3.60813 1.05944i −0.280046 0.0822288i
\(167\) 8.33227 18.2451i 0.644771 1.41185i −0.251287 0.967913i \(-0.580854\pi\)
0.896057 0.443938i \(-0.146419\pi\)
\(168\) 2.71768 3.13638i 0.209674 0.241977i
\(169\) −0.841444 + 5.85237i −0.0647265 + 0.450183i
\(170\) −1.09585 + 0.321770i −0.0840477 + 0.0246786i
\(171\) −8.68104 10.0184i −0.663855 0.766130i
\(172\) −5.57343 + 3.58183i −0.424970 + 0.273112i
\(173\) −4.35740 + 2.80033i −0.331287 + 0.212905i −0.695700 0.718332i \(-0.744906\pi\)
0.364413 + 0.931237i \(0.381269\pi\)
\(174\) 12.7825 + 14.7518i 0.969040 + 1.11833i
\(175\) 1.53387 0.450385i 0.115950 0.0340459i
\(176\) −0.246841 + 1.71682i −0.0186063 + 0.129410i
\(177\) −18.7633 + 21.6540i −1.41034 + 1.62762i
\(178\) 6.00065 13.1396i 0.449767 0.984853i
\(179\) 7.13019 + 2.09361i 0.532936 + 0.156484i 0.537118 0.843507i \(-0.319513\pi\)
−0.00418223 + 0.999991i \(0.501331\pi\)
\(180\) −1.55330 3.40126i −0.115776 0.253515i
\(181\) −1.05898 7.36537i −0.0787134 0.547464i −0.990576 0.136967i \(-0.956265\pi\)
0.911862 0.410496i \(-0.134645\pi\)
\(182\) −5.84856 3.75864i −0.433524 0.278609i
\(183\) −12.8499 −0.949890
\(184\) −0.698746 + 4.74466i −0.0515123 + 0.349781i
\(185\) −5.43673 −0.399716
\(186\) 14.3718 + 9.23622i 1.05379 + 0.677232i
\(187\) 0.281920 + 1.96080i 0.0206160 + 0.143388i
\(188\) 4.38398 + 9.59958i 0.319735 + 0.700121i
\(189\) 2.94327 + 0.864222i 0.214091 + 0.0628629i
\(190\) −1.47276 + 3.22489i −0.106845 + 0.233958i
\(191\) 0.0112171 0.0129452i 0.000811640 0.000936683i −0.755344 0.655329i \(-0.772530\pi\)
0.756155 + 0.654392i \(0.227075\pi\)
\(192\) −0.369448 + 2.56957i −0.0266626 + 0.185442i
\(193\) −7.68073 + 2.25527i −0.552871 + 0.162338i −0.546222 0.837640i \(-0.683935\pi\)
−0.00664895 + 0.999978i \(0.502116\pi\)
\(194\) −3.36579 3.88433i −0.241649 0.278878i
\(195\) −9.49740 + 6.10361i −0.680123 + 0.437089i
\(196\) −3.73886 + 2.40282i −0.267061 + 0.171630i
\(197\) −7.62018 8.79416i −0.542916 0.626558i 0.416302 0.909226i \(-0.363326\pi\)
−0.959218 + 0.282668i \(0.908780\pi\)
\(198\) −6.22276 + 1.82717i −0.442232 + 0.129851i
\(199\) −2.58460 + 17.9763i −0.183218 + 1.27431i 0.665876 + 0.746063i \(0.268058\pi\)
−0.849093 + 0.528243i \(0.822851\pi\)
\(200\) −0.654861 + 0.755750i −0.0463056 + 0.0534396i
\(201\) −4.98390 + 10.9132i −0.351537 + 0.769759i
\(202\) 16.6681 + 4.89420i 1.17276 + 0.344355i
\(203\) 4.99337 + 10.9340i 0.350466 + 0.767413i
\(204\) 0.421951 + 2.93473i 0.0295424 + 0.205472i
\(205\) −2.24206 1.44089i −0.156593 0.100636i
\(206\) 16.1642 1.12621
\(207\) −17.2232 + 4.99327i −1.19709 + 0.347056i
\(208\) 4.34886 0.301539
\(209\) 5.17300 + 3.32449i 0.357824 + 0.229960i
\(210\) −0.590609 4.10778i −0.0407559 0.283464i
\(211\) −5.50556 12.0555i −0.379018 0.829935i −0.998974 0.0452974i \(-0.985576\pi\)
0.619955 0.784637i \(-0.287151\pi\)
\(212\) −1.86321 0.547087i −0.127966 0.0375741i
\(213\) 8.07905 17.6907i 0.553568 1.21214i
\(214\) 11.6574 13.4534i 0.796884 0.919653i
\(215\) −0.942858 + 6.55772i −0.0643024 + 0.447233i
\(216\) −1.84112 + 0.540603i −0.125273 + 0.0367833i
\(217\) 6.88935 + 7.95074i 0.467680 + 0.539731i
\(218\) −13.7848 + 8.85898i −0.933627 + 0.600006i
\(219\) 7.09517 4.55979i 0.479447 0.308122i
\(220\) 1.13584 + 1.31083i 0.0765781 + 0.0883759i
\(221\) 4.76569 1.39933i 0.320575 0.0941292i
\(222\) −2.00859 + 13.9700i −0.134808 + 0.937607i
\(223\) −2.92599 + 3.37677i −0.195938 + 0.226125i −0.845214 0.534428i \(-0.820527\pi\)
0.649275 + 0.760554i \(0.275072\pi\)
\(224\) −0.664094 + 1.45416i −0.0443716 + 0.0971603i
\(225\) −3.58770 1.05344i −0.239180 0.0702295i
\(226\) 3.18104 + 6.96551i 0.211600 + 0.463339i
\(227\) −0.319214 2.22018i −0.0211870 0.147359i 0.976482 0.215599i \(-0.0691705\pi\)
−0.997669 + 0.0682407i \(0.978261\pi\)
\(228\) 7.74245 + 4.97577i 0.512756 + 0.329528i
\(229\) 4.41437 0.291710 0.145855 0.989306i \(-0.453407\pi\)
0.145855 + 0.989306i \(0.453407\pi\)
\(230\) 3.12819 + 3.63517i 0.206267 + 0.239696i
\(231\) −7.19809 −0.473600
\(232\) −6.32545 4.06512i −0.415286 0.266888i
\(233\) −0.637729 4.43550i −0.0417790 0.290579i −0.999990 0.00451625i \(-0.998562\pi\)
0.958211 0.286063i \(-0.0923467\pi\)
\(234\) 6.75509 + 14.7916i 0.441594 + 0.966956i
\(235\) 10.1258 + 2.97320i 0.660533 + 0.193950i
\(236\) 4.58501 10.0398i 0.298459 0.653534i
\(237\) −26.5695 + 30.6628i −1.72588 + 1.99177i
\(238\) −0.259840 + 1.80723i −0.0168429 + 0.117145i
\(239\) −4.79415 + 1.40769i −0.310108 + 0.0910559i −0.433083 0.901354i \(-0.642574\pi\)
0.122976 + 0.992410i \(0.460756\pi\)
\(240\) 1.70001 + 1.96192i 0.109735 + 0.126641i
\(241\) −13.0916 + 8.41343i −0.843301 + 0.541957i −0.889479 0.456977i \(-0.848932\pi\)
0.0461777 + 0.998933i \(0.485296\pi\)
\(242\) −6.72297 + 4.32059i −0.432169 + 0.277738i
\(243\) 14.3713 + 16.5854i 0.921919 + 1.06395i
\(244\) 4.74939 1.39455i 0.304049 0.0892767i
\(245\) −0.632503 + 4.39915i −0.0404091 + 0.281052i
\(246\) −4.53078 + 5.22880i −0.288872 + 0.333376i
\(247\) 6.40480 14.0246i 0.407528 0.892362i
\(248\) −6.31428 1.85404i −0.400957 0.117732i
\(249\) 4.05533 + 8.87993i 0.256996 + 0.562743i
\(250\) 0.142315 + 0.989821i 0.00900078 + 0.0626018i
\(251\) −6.26460 4.02602i −0.395418 0.254120i 0.327789 0.944751i \(-0.393696\pi\)
−0.723207 + 0.690631i \(0.757333\pi\)
\(252\) −5.97752 −0.376549
\(253\) 7.01308 4.47322i 0.440909 0.281229i
\(254\) −13.5826 −0.852250
\(255\) 2.49424 + 1.60295i 0.156195 + 0.100381i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 9.40745 + 20.5994i 0.586820 + 1.28496i 0.937345 + 0.348404i \(0.113276\pi\)
−0.350524 + 0.936554i \(0.613997\pi\)
\(258\) 16.5022 + 4.84547i 1.02738 + 0.301666i
\(259\) −3.61050 + 7.90589i −0.224346 + 0.491248i
\(260\) 2.84790 3.28665i 0.176619 0.203829i
\(261\) 4.00118 27.8288i 0.247667 1.72256i
\(262\) −3.72482 + 1.09371i −0.230120 + 0.0675693i
\(263\) −11.1987 12.9240i −0.690543 0.796929i 0.296900 0.954909i \(-0.404047\pi\)
−0.987442 + 0.157980i \(0.949502\pi\)
\(264\) 3.78789 2.43433i 0.233128 0.149822i
\(265\) −1.63360 + 1.04985i −0.100351 + 0.0644919i
\(266\) 3.71146 + 4.28325i 0.227564 + 0.262623i
\(267\) −35.9799 + 10.5647i −2.20194 + 0.646547i
\(268\) 0.657710 4.57447i 0.0401760 0.279430i
\(269\) 2.51716 2.90495i 0.153474 0.177118i −0.673806 0.738908i \(-0.735342\pi\)
0.827280 + 0.561790i \(0.189887\pi\)
\(270\) −0.797119 + 1.74545i −0.0485111 + 0.106225i
\(271\) 13.1821 + 3.87061i 0.800755 + 0.235123i 0.656410 0.754405i \(-0.272074\pi\)
0.144345 + 0.989527i \(0.453892\pi\)
\(272\) −0.474450 1.03890i −0.0287678 0.0629926i
\(273\) 2.56848 + 17.8641i 0.155451 + 1.08119i
\(274\) −11.0609 7.10840i −0.668213 0.429434i
\(275\) 1.73447 0.104593
\(276\) 10.4965 6.69509i 0.631815 0.402997i
\(277\) −8.92770 −0.536413 −0.268207 0.963361i \(-0.586431\pi\)
−0.268207 + 0.963361i \(0.586431\pi\)
\(278\) −8.90173 5.72079i −0.533890 0.343110i
\(279\) −3.50192 24.3564i −0.209655 1.45818i
\(280\) 0.664094 + 1.45416i 0.0396872 + 0.0869028i
\(281\) −1.81328 0.532428i −0.108171 0.0317620i 0.227199 0.973848i \(-0.427043\pi\)
−0.335370 + 0.942086i \(0.608861\pi\)
\(282\) 11.3808 24.9204i 0.677715 1.48399i
\(283\) 16.0225 18.4910i 0.952442 1.09918i −0.0425375 0.999095i \(-0.513544\pi\)
0.994979 0.100081i \(-0.0319103\pi\)
\(284\) −1.06617 + 7.41536i −0.0632654 + 0.440021i
\(285\) 8.83066 2.59292i 0.523083 0.153591i
\(286\) −4.93959 5.70059i −0.292084 0.337083i
\(287\) −3.58423 + 2.30344i −0.211570 + 0.135968i
\(288\) 3.14558 2.02154i 0.185355 0.119121i
\(289\) 10.2784 + 11.8619i 0.604613 + 0.697761i
\(290\) −7.21450 + 2.11837i −0.423650 + 0.124395i
\(291\) −1.89885 + 13.2068i −0.111313 + 0.774196i
\(292\) −2.12756 + 2.45533i −0.124506 + 0.143688i
\(293\) −10.7429 + 23.5237i −0.627607 + 1.37427i 0.282247 + 0.959342i \(0.408920\pi\)
−0.909855 + 0.414927i \(0.863807\pi\)
\(294\) 11.0702 + 3.25051i 0.645629 + 0.189574i
\(295\) −4.58501 10.0398i −0.266950 0.584538i
\(296\) −0.773727 5.38139i −0.0449720 0.312787i
\(297\) 2.79985 + 1.79936i 0.162464 + 0.104409i
\(298\) 15.8673 0.919169
\(299\) −13.6040 15.8088i −0.786742 0.914247i
\(300\) 2.59599 0.149880
\(301\) 8.90984 + 5.72601i 0.513555 + 0.330042i
\(302\) 3.04328 + 21.1665i 0.175121 + 1.21800i
\(303\) −18.7340 41.0217i −1.07624 2.35663i
\(304\) −3.40166 0.998816i −0.195098 0.0572860i
\(305\) 2.05626 4.50258i 0.117741 0.257817i
\(306\) 2.79661 3.22746i 0.159871 0.184501i
\(307\) 0.425397 2.95870i 0.0242787 0.168862i −0.974075 0.226227i \(-0.927361\pi\)
0.998353 + 0.0573652i \(0.0182700\pi\)
\(308\) 2.66046 0.781181i 0.151594 0.0445119i
\(309\) −27.4793 31.7128i −1.56324 1.80408i
\(310\) −5.53617 + 3.55788i −0.314433 + 0.202074i
\(311\) 25.7891 16.5737i 1.46237 0.939806i 0.463819 0.885930i \(-0.346479\pi\)
0.998548 0.0538762i \(-0.0171576\pi\)
\(312\) −7.39311 8.53210i −0.418552 0.483035i
\(313\) −7.45722 + 2.18964i −0.421507 + 0.123766i −0.485606 0.874178i \(-0.661401\pi\)
0.0640988 + 0.997944i \(0.479583\pi\)
\(314\) 2.63345 18.3160i 0.148614 1.03363i
\(315\) −3.91445 + 4.51751i −0.220554 + 0.254533i
\(316\) 6.49253 14.2167i 0.365233 0.799749i
\(317\) 16.7363 + 4.91422i 0.940004 + 0.276010i 0.715619 0.698490i \(-0.246145\pi\)
0.224385 + 0.974501i \(0.427963\pi\)
\(318\) 2.09413 + 4.58551i 0.117433 + 0.257143i
\(319\) 1.85602 + 12.9089i 0.103917 + 0.722758i
\(320\) −0.841254 0.540641i −0.0470275 0.0302227i
\(321\) −46.2121 −2.57931
\(322\) 7.36353 2.13481i 0.410354 0.118968i
\(323\) −4.04909 −0.225297
\(324\) −5.24620 3.37152i −0.291455 0.187307i
\(325\) −0.618907 4.30459i −0.0343308 0.238776i
\(326\) −3.28470 7.19249i −0.181923 0.398355i
\(327\) 40.8150 + 11.9844i 2.25707 + 0.662736i
\(328\) 1.10714 2.42430i 0.0611317 0.133860i
\(329\) 11.0480 12.7500i 0.609095 0.702933i
\(330\) 0.640797 4.45684i 0.0352747 0.245341i
\(331\) 11.2441 3.30157i 0.618032 0.181471i 0.0422947 0.999105i \(-0.486533\pi\)
0.575738 + 0.817635i \(0.304715\pi\)
\(332\) −2.46258 2.84197i −0.135151 0.155973i
\(333\) 17.1017 10.9906i 0.937166 0.602280i
\(334\) 16.8736 10.8440i 0.923283 0.593358i
\(335\) −3.02645 3.49271i −0.165352 0.190827i
\(336\) 3.98191 1.16920i 0.217231 0.0637848i
\(337\) −3.14858 + 21.8989i −0.171514 + 1.19291i 0.704173 + 0.710029i \(0.251318\pi\)
−0.875687 + 0.482879i \(0.839591\pi\)
\(338\) −3.87190 + 4.46841i −0.210604 + 0.243050i
\(339\) 8.25795 18.0824i 0.448511 0.982101i
\(340\) −1.09585 0.321770i −0.0594307 0.0174504i
\(341\) 4.74167 + 10.3828i 0.256776 + 0.562261i
\(342\) −1.88657 13.1214i −0.102014 0.709523i
\(343\) 15.3910 + 9.89119i 0.831036 + 0.534074i
\(344\) −6.62515 −0.357204
\(345\) 1.81394 12.3171i 0.0976591 0.663129i
\(346\) −5.17965 −0.278460
\(347\) −20.9048 13.4347i −1.12223 0.721214i −0.158306 0.987390i \(-0.550603\pi\)
−0.963924 + 0.266176i \(0.914240\pi\)
\(348\) 2.77790 + 19.3208i 0.148911 + 1.03570i
\(349\) 4.02531 + 8.81420i 0.215470 + 0.471813i 0.986244 0.165295i \(-0.0528576\pi\)
−0.770774 + 0.637108i \(0.780130\pi\)
\(350\) 1.53387 + 0.450385i 0.0819889 + 0.0240741i
\(351\) 3.46656 7.59070i 0.185031 0.405162i
\(352\) −1.13584 + 1.31083i −0.0605403 + 0.0698673i
\(353\) −4.48168 + 31.1708i −0.238536 + 1.65905i 0.420762 + 0.907171i \(0.361763\pi\)
−0.659298 + 0.751882i \(0.729146\pi\)
\(354\) −27.4918 + 8.07232i −1.46117 + 0.429039i
\(355\) 4.90596 + 5.66178i 0.260382 + 0.300496i
\(356\) 12.1519 7.80953i 0.644047 0.413904i
\(357\) 3.98736 2.56252i 0.211034 0.135623i
\(358\) 4.86641 + 5.61613i 0.257198 + 0.296822i
\(359\) 23.4141 6.87499i 1.23575 0.362848i 0.402331 0.915494i \(-0.368200\pi\)
0.833416 + 0.552646i \(0.186382\pi\)
\(360\) 0.532138 3.70110i 0.0280461 0.195065i
\(361\) 4.21148 4.86030i 0.221657 0.255805i
\(362\) 3.09115 6.76867i 0.162467 0.355753i
\(363\) 19.9058 + 5.84486i 1.04478 + 0.306776i
\(364\) −2.88805 6.32395i −0.151375 0.331465i
\(365\) 0.462363 + 3.21580i 0.0242012 + 0.168323i
\(366\) −10.8100 6.94717i −0.565048 0.363134i
\(367\) −22.4667 −1.17275 −0.586376 0.810039i \(-0.699446\pi\)
−0.586376 + 0.810039i \(0.699446\pi\)
\(368\) −3.15298 + 3.61369i −0.164360 + 0.188376i
\(369\) 9.96541 0.518778
\(370\) −4.57367 2.93932i −0.237774 0.152808i
\(371\) 0.441791 + 3.07272i 0.0229366 + 0.159528i
\(372\) 7.09688 + 15.5400i 0.367956 + 0.805711i
\(373\) −10.7549 3.15794i −0.556870 0.163512i −0.00882556 0.999961i \(-0.502809\pi\)
−0.548044 + 0.836449i \(0.684627\pi\)
\(374\) −0.822920 + 1.80194i −0.0425522 + 0.0931763i
\(375\) 1.70001 1.96192i 0.0877882 0.101313i
\(376\) −1.50189 + 10.4458i −0.0774538 + 0.538703i
\(377\) 31.3748 9.21248i 1.61589 0.474467i
\(378\) 2.00880 + 2.31828i 0.103322 + 0.119240i
\(379\) 18.2617 11.7361i 0.938042 0.602843i 0.0202028 0.999796i \(-0.493569\pi\)
0.917839 + 0.396953i \(0.129932\pi\)
\(380\) −2.98247 + 1.91671i −0.152997 + 0.0983254i
\(381\) 23.0906 + 26.6480i 1.18297 + 1.36522i
\(382\) 0.0164351 0.00482579i 0.000840894 0.000246909i
\(383\) −0.114861 + 0.798878i −0.00586914 + 0.0408208i −0.992546 0.121874i \(-0.961110\pi\)
0.986676 + 0.162695i \(0.0520186\pi\)
\(384\) −1.70001 + 1.96192i −0.0867533 + 0.100119i
\(385\) 1.15185 2.52220i 0.0587038 0.128543i
\(386\) −7.68073 2.25527i −0.390939 0.114790i
\(387\) −10.2909 22.5339i −0.523114 1.14546i
\(388\) −0.731456 5.08739i −0.0371340 0.258273i
\(389\) 25.6842 + 16.5062i 1.30224 + 0.836898i 0.993454 0.114234i \(-0.0364414\pi\)
0.308785 + 0.951132i \(0.400078\pi\)
\(390\) −11.2896 −0.571670
\(391\) −2.29241 + 4.97459i −0.115932 + 0.251576i
\(392\) −4.44439 −0.224476
\(393\) 8.47799 + 5.44848i 0.427658 + 0.274839i
\(394\) −1.65602 11.5179i −0.0834293 0.580263i
\(395\) −6.49253 14.2167i −0.326675 0.715318i
\(396\) −6.22276 1.82717i −0.312705 0.0918186i
\(397\) 2.94209 6.44229i 0.147659 0.323329i −0.821321 0.570466i \(-0.806763\pi\)
0.968981 + 0.247137i \(0.0794898\pi\)
\(398\) −11.8930 + 13.7253i −0.596143 + 0.687986i
\(399\) 2.09387 14.5632i 0.104824 0.729070i
\(400\) −0.959493 + 0.281733i −0.0479746 + 0.0140866i
\(401\) 8.54020 + 9.85592i 0.426477 + 0.492181i 0.927799 0.373080i \(-0.121698\pi\)
−0.501322 + 0.865261i \(0.667153\pi\)
\(402\) −10.0928 + 6.48628i −0.503386 + 0.323506i
\(403\) 24.0760 15.4727i 1.19931 0.770750i
\(404\) 11.3761 + 13.1287i 0.565982 + 0.653179i
\(405\) −5.98356 + 1.75693i −0.297325 + 0.0873026i
\(406\) −1.71065 + 11.8978i −0.0848982 + 0.590480i
\(407\) −6.17524 + 7.12661i −0.306095 + 0.353253i
\(408\) −1.23167 + 2.69698i −0.0609766 + 0.133520i
\(409\) −8.94302 2.62591i −0.442204 0.129843i 0.0530486 0.998592i \(-0.483106\pi\)
−0.495252 + 0.868749i \(0.664924\pi\)
\(410\) −1.10714 2.42430i −0.0546778 0.119728i
\(411\) 4.85754 + 33.7849i 0.239605 + 1.66649i
\(412\) 13.5982 + 8.73903i 0.669935 + 0.430541i
\(413\) −17.6443 −0.868221
\(414\) −17.1886 5.11094i −0.844774 0.251189i
\(415\) −3.76046 −0.184594
\(416\) 3.65849 + 2.35117i 0.179372 + 0.115276i
\(417\) 3.90931 + 27.1899i 0.191440 + 1.33149i
\(418\) 2.55445 + 5.59347i 0.124942 + 0.273586i
\(419\) 9.00197 + 2.64322i 0.439775 + 0.129130i 0.494122 0.869392i \(-0.335490\pi\)
−0.0543471 + 0.998522i \(0.517308\pi\)
\(420\) 1.72398 3.77499i 0.0841216 0.184201i
\(421\) 18.3333 21.1577i 0.893508 1.03116i −0.105815 0.994386i \(-0.533745\pi\)
0.999323 0.0367774i \(-0.0117093\pi\)
\(422\) 1.88612 13.1183i 0.0918149 0.638587i
\(423\) −37.8619 + 11.1173i −1.84091 + 0.540539i
\(424\) −1.27165 1.46756i −0.0617569 0.0712712i
\(425\) −0.960805 + 0.617472i −0.0466059 + 0.0299518i
\(426\) 16.3608 10.5145i 0.792685 0.509427i
\(427\) −5.18194 5.98028i −0.250772 0.289406i
\(428\) 17.0803 5.01522i 0.825606 0.242420i
\(429\) −2.78673 + 19.3822i −0.134545 + 0.935779i
\(430\) −4.33855 + 5.00696i −0.209224 + 0.241457i
\(431\) −1.46588 + 3.20982i −0.0706087 + 0.154612i −0.941645 0.336606i \(-0.890721\pi\)
0.871037 + 0.491218i \(0.163448\pi\)
\(432\) −1.84112 0.540603i −0.0885811 0.0260098i
\(433\) −14.8815 32.5860i −0.715160 1.56598i −0.820566 0.571552i \(-0.806341\pi\)
0.105406 0.994429i \(-0.466386\pi\)
\(434\) 1.49720 + 10.4133i 0.0718679 + 0.499852i
\(435\) 16.4208 + 10.5530i 0.787317 + 0.505978i
\(436\) −16.3861 −0.784750
\(437\) 7.01016 + 15.4901i 0.335342 + 0.740990i
\(438\) 8.43404 0.402994
\(439\) −24.0442 15.4522i −1.14757 0.737495i −0.178412 0.983956i \(-0.557096\pi\)
−0.969153 + 0.246460i \(0.920732\pi\)
\(440\) 0.246841 + 1.71682i 0.0117677 + 0.0818460i
\(441\) −6.90348 15.1165i −0.328737 0.719834i
\(442\) 4.76569 + 1.39933i 0.226681 + 0.0665594i
\(443\) −12.1439 + 26.5915i −0.576976 + 1.26340i 0.366022 + 0.930606i \(0.380719\pi\)
−0.942999 + 0.332796i \(0.892008\pi\)
\(444\) −9.24250 + 10.6664i −0.438630 + 0.506206i
\(445\) 2.05573 14.2979i 0.0974509 0.677786i
\(446\) −4.28711 + 1.25881i −0.203001 + 0.0596064i
\(447\) −26.9746 31.1304i −1.27586 1.47242i
\(448\) −1.34485 + 0.864283i −0.0635382 + 0.0408335i
\(449\) −29.0280 + 18.6552i −1.36992 + 0.880392i −0.998837 0.0482084i \(-0.984649\pi\)
−0.371080 + 0.928601i \(0.621012\pi\)
\(450\) −2.44863 2.82587i −0.115429 0.133213i
\(451\) −4.43537 + 1.30234i −0.208854 + 0.0613249i
\(452\) −1.08978 + 7.57957i −0.0512588 + 0.356513i
\(453\) 36.3533 41.9540i 1.70803 1.97117i
\(454\) 0.931781 2.04032i 0.0437306 0.0957568i
\(455\) −6.67059 1.95866i −0.312722 0.0918235i
\(456\) 3.82326 + 8.37177i 0.179040 + 0.392044i
\(457\) −2.20909 15.3645i −0.103337 0.718722i −0.973951 0.226757i \(-0.927188\pi\)
0.870615 0.491965i \(-0.163721\pi\)
\(458\) 3.71360 + 2.38659i 0.173525 + 0.111518i
\(459\) −2.19154 −0.102292
\(460\) 0.666282 + 4.74932i 0.0310656 + 0.221438i
\(461\) −20.9031 −0.973553 −0.486777 0.873526i \(-0.661827\pi\)
−0.486777 + 0.873526i \(0.661827\pi\)
\(462\) −6.05542 3.89158i −0.281724 0.181053i
\(463\) −2.63214 18.3070i −0.122326 0.850797i −0.954909 0.296897i \(-0.904048\pi\)
0.832583 0.553900i \(-0.186861\pi\)
\(464\) −3.12354 6.83959i −0.145007 0.317520i
\(465\) 16.3918 + 4.81307i 0.760152 + 0.223201i
\(466\) 1.86152 4.07616i 0.0862333 0.188825i
\(467\) 1.24054 1.43166i 0.0574054 0.0662494i −0.726321 0.687356i \(-0.758771\pi\)
0.783726 + 0.621107i \(0.213317\pi\)
\(468\) −2.31419 + 16.0956i −0.106974 + 0.744017i
\(469\) −7.08881 + 2.08146i −0.327331 + 0.0961130i
\(470\) 6.91091 + 7.97562i 0.318777 + 0.367888i
\(471\) −40.4114 + 25.9708i −1.86206 + 1.19667i
\(472\) 9.28507 5.96715i 0.427380 0.274660i
\(473\) 7.52510 + 8.68442i 0.346004 + 0.399310i
\(474\) −38.9293 + 11.4307i −1.78808 + 0.525028i
\(475\) −0.504544 + 3.50918i −0.0231501 + 0.161012i
\(476\) −1.19565 + 1.37986i −0.0548026 + 0.0632456i
\(477\) 3.01631 6.60479i 0.138107 0.302413i
\(478\) −4.79415 1.40769i −0.219279 0.0643862i
\(479\) 9.22805 + 20.2066i 0.421641 + 0.923264i 0.994610 + 0.103687i \(0.0330641\pi\)
−0.572969 + 0.819577i \(0.694209\pi\)
\(480\) 0.369448 + 2.56957i 0.0168629 + 0.117284i
\(481\) 19.8902 + 12.7827i 0.906916 + 0.582840i
\(482\) −15.5620 −0.708828
\(483\) −16.7064 10.8175i −0.760168 0.492211i
\(484\) −7.99161 −0.363255
\(485\) −4.32379 2.77873i −0.196333 0.126176i
\(486\) 3.12318 + 21.7222i 0.141670 + 0.985339i
\(487\) 2.63028 + 5.75951i 0.119189 + 0.260988i 0.959818 0.280624i \(-0.0905414\pi\)
−0.840628 + 0.541612i \(0.817814\pi\)
\(488\) 4.74939 + 1.39455i 0.214995 + 0.0631282i
\(489\) −8.52704 + 18.6716i −0.385606 + 0.844360i
\(490\) −2.91046 + 3.35885i −0.131481 + 0.151737i
\(491\) −0.550384 + 3.82800i −0.0248385 + 0.172755i −0.998465 0.0553942i \(-0.982358\pi\)
0.973626 + 0.228150i \(0.0732675\pi\)
\(492\) −6.63844 + 1.94922i −0.299284 + 0.0878777i
\(493\) −5.62369 6.49009i −0.253278 0.292299i
\(494\) 12.9703 8.33552i 0.583562 0.375033i
\(495\) −5.45592 + 3.50631i −0.245225 + 0.157597i
\(496\) −4.30954 4.97348i −0.193504 0.223316i
\(497\) 11.4912 3.37411i 0.515450 0.151350i
\(498\) −1.38929 + 9.66275i −0.0622557 + 0.432998i
\(499\) 12.3442 14.2460i 0.552604 0.637739i −0.408884 0.912587i \(-0.634082\pi\)
0.961488 + 0.274847i \(0.0886273\pi\)
\(500\) −0.415415 + 0.909632i −0.0185779 + 0.0406800i
\(501\) −49.9604 14.6697i −2.23207 0.655394i
\(502\) −3.09349 6.77380i −0.138069 0.302329i
\(503\) −1.62170 11.2792i −0.0723080 0.502913i −0.993502 0.113811i \(-0.963694\pi\)
0.921195 0.389102i \(-0.127215\pi\)
\(504\) −5.02861 3.23169i −0.223992 0.143951i
\(505\) 17.3718 0.773035
\(506\) 8.31818 + 0.0284438i 0.369788 + 0.00126448i
\(507\) 15.3489 0.681670
\(508\) −11.4264 7.34332i −0.506966 0.325807i
\(509\) 2.50481 + 17.4213i 0.111024 + 0.772186i 0.966928 + 0.255051i \(0.0820923\pi\)
−0.855904 + 0.517135i \(0.826999\pi\)
\(510\) 1.23167 + 2.69698i 0.0545392 + 0.119424i
\(511\) 4.98336 + 1.46325i 0.220451 + 0.0647302i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) −4.45491 + 5.14124i −0.196689 + 0.226991i
\(514\) −3.22285 + 22.4154i −0.142154 + 0.988701i
\(515\) 15.5094 4.55398i 0.683428 0.200672i
\(516\) 11.2628 + 12.9980i 0.495819 + 0.572205i
\(517\) 15.3986 9.89606i 0.677229 0.435228i
\(518\) −7.31159 + 4.69888i −0.321253 + 0.206457i
\(519\) 8.80546 + 10.1620i 0.386517 + 0.446064i
\(520\) 4.17270 1.22521i 0.182985 0.0537292i
\(521\) 2.40160 16.7035i 0.105216 0.731792i −0.867102 0.498130i \(-0.834020\pi\)
0.972318 0.233662i \(-0.0750708\pi\)
\(522\) 18.4114 21.2479i 0.805846 0.929996i
\(523\) −8.52168 + 18.6599i −0.372627 + 0.815939i 0.626700 + 0.779261i \(0.284405\pi\)
−0.999327 + 0.0366788i \(0.988322\pi\)
\(524\) −3.72482 1.09371i −0.162719 0.0477787i
\(525\) −1.72398 3.77499i −0.0752407 0.164754i
\(526\) −2.43371 16.9269i −0.106115 0.738046i
\(527\) −6.32292 4.06349i −0.275431 0.177009i
\(528\) 4.50267 0.195954
\(529\) 22.9995 + 0.157294i 0.999977 + 0.00683885i
\(530\) −1.94187 −0.0843493
\(531\) 34.7184 + 22.3121i 1.50665 + 0.968264i
\(532\) 0.806577 + 5.60987i 0.0349696 + 0.243219i
\(533\) 4.81480 + 10.5429i 0.208552 + 0.456666i
\(534\) −35.9799 10.5647i −1.55700 0.457178i
\(535\) 7.39495 16.1927i 0.319711 0.700070i
\(536\) 3.02645 3.49271i 0.130723 0.150862i
\(537\) 2.74544 19.0950i 0.118475 0.824009i
\(538\) 3.68810 1.08293i 0.159005 0.0466882i
\(539\) 5.04810 + 5.82582i 0.217437 + 0.250936i
\(540\) −1.61424 + 1.03741i −0.0694658 + 0.0446430i
\(541\) −21.7488 + 13.9771i −0.935054 + 0.600923i −0.916988 0.398914i \(-0.869387\pi\)
−0.0180656 + 0.999837i \(0.505751\pi\)
\(542\) 8.99687 + 10.3829i 0.386449 + 0.445985i
\(543\) −18.5346 + 5.44224i −0.795394 + 0.233549i
\(544\) 0.162539 1.13049i 0.00696882 0.0484692i
\(545\) −10.7306 + 12.3838i −0.459648 + 0.530462i
\(546\) −7.49734 + 16.4169i −0.320857 + 0.702578i
\(547\) 1.48827 + 0.436997i 0.0636340 + 0.0186846i 0.313395 0.949623i \(-0.398534\pi\)
−0.249761 + 0.968308i \(0.580352\pi\)
\(548\) −5.46192 11.9599i −0.233322 0.510903i
\(549\) 2.63403 + 18.3201i 0.112418 + 0.781881i
\(550\) 1.45913 + 0.937726i 0.0622175 + 0.0399848i
\(551\) −26.6571 −1.13563
\(552\) 12.4499 + 0.0425719i 0.529901 + 0.00181198i
\(553\) −24.9850 −1.06247
\(554\) −7.51046 4.82668i −0.319089 0.205066i
\(555\) 2.00859 + 13.9700i 0.0852598 + 0.592995i
\(556\) −4.39572 9.62527i −0.186420 0.408203i
\(557\) 32.3138 + 9.48817i 1.36918 + 0.402027i 0.881989 0.471270i \(-0.156204\pi\)
0.487189 + 0.873297i \(0.338022\pi\)
\(558\) 10.2221 22.3832i 0.432734 0.947556i
\(559\) 18.8677 21.7745i 0.798021 0.920965i
\(560\) −0.227508 + 1.58236i −0.00961398 + 0.0668667i
\(561\) 4.93424 1.44882i 0.208324 0.0611694i
\(562\) −1.23758 1.42824i −0.0522041 0.0602468i
\(563\) −21.0148 + 13.5054i −0.885667 + 0.569183i −0.902507 0.430675i \(-0.858276\pi\)
0.0168405 + 0.999858i \(0.494639\pi\)
\(564\) 23.0471 14.8115i 0.970458 0.623676i
\(565\) 5.01460 + 5.78716i 0.210966 + 0.243468i
\(566\) 23.4760 6.89318i 0.986771 0.289742i
\(567\) −1.41878 + 9.86783i −0.0595832 + 0.414410i
\(568\) −4.90596 + 5.66178i −0.205850 + 0.237563i
\(569\) −8.86653 + 19.4150i −0.371704 + 0.813919i 0.627668 + 0.778481i \(0.284010\pi\)
−0.999372 + 0.0354374i \(0.988718\pi\)
\(570\) 8.83066 + 2.59292i 0.369876 + 0.108605i
\(571\) −5.45492 11.9446i −0.228281 0.499866i 0.760482 0.649360i \(-0.224963\pi\)
−0.988763 + 0.149494i \(0.952236\pi\)
\(572\) −1.07348 7.46619i −0.0448843 0.312177i
\(573\) −0.0374077 0.0240405i −0.00156273 0.00100431i
\(574\) −4.26058 −0.177833
\(575\) 4.02562 + 2.60660i 0.167880 + 0.108703i
\(576\) 3.73916 0.155798
\(577\) 16.2588 + 10.4489i 0.676863 + 0.434994i 0.833394 0.552679i \(-0.186395\pi\)
−0.156531 + 0.987673i \(0.550031\pi\)
\(578\) 2.23371 + 15.5358i 0.0929103 + 0.646205i
\(579\) 8.63269 + 18.9029i 0.358762 + 0.785580i
\(580\) −7.21450 2.11837i −0.299566 0.0879604i
\(581\) −2.49730 + 5.46832i −0.103605 + 0.226864i
\(582\) −8.73755 + 10.0837i −0.362183 + 0.417982i
\(583\) −0.479332 + 3.33383i −0.0198519 + 0.138073i
\(584\) −3.11727 + 0.915313i −0.128994 + 0.0378759i
\(585\) 10.6487 + 12.2893i 0.440271 + 0.508100i
\(586\) −21.7554 + 13.9813i −0.898706 + 0.577563i
\(587\) −7.55513 + 4.85539i −0.311834 + 0.200403i −0.687191 0.726477i \(-0.741156\pi\)
0.375357 + 0.926880i \(0.377520\pi\)
\(588\) 7.55551 + 8.71953i 0.311584 + 0.359587i
\(589\) −22.3858 + 6.57307i −0.922391 + 0.270838i
\(590\) 1.57076 10.9248i 0.0646670 0.449769i
\(591\) −19.7819 + 22.8295i −0.813719 + 0.939082i
\(592\) 2.25850 4.94542i 0.0928238 0.203256i
\(593\) 4.27926 + 1.25651i 0.175728 + 0.0515985i 0.368413 0.929662i \(-0.379901\pi\)
−0.192685 + 0.981261i \(0.561719\pi\)
\(594\) 1.38258 + 3.02743i 0.0567280 + 0.124217i
\(595\) 0.259840 + 1.80723i 0.0106524 + 0.0740891i
\(596\) 13.3484 + 8.57852i 0.546773 + 0.351390i
\(597\) 47.1461 1.92956
\(598\) −2.89756 20.6541i −0.118490 0.844610i
\(599\) −22.9114 −0.936133 −0.468066 0.883693i \(-0.655049\pi\)
−0.468066 + 0.883693i \(0.655049\pi\)
\(600\) 2.18389 + 1.40350i 0.0891567 + 0.0572976i
\(601\) −3.19314 22.2088i −0.130251 0.905915i −0.945225 0.326418i \(-0.894158\pi\)
0.814975 0.579497i \(-0.196751\pi\)
\(602\) 4.39972 + 9.63405i 0.179319 + 0.392655i
\(603\) 16.5806 + 4.86850i 0.675214 + 0.198261i
\(604\) −8.88330 + 19.4517i −0.361456 + 0.791479i
\(605\) −5.23339 + 6.03966i −0.212768 + 0.245547i
\(606\) 6.41797 44.6380i 0.260712 1.81329i
\(607\) 29.6131 8.69518i 1.20196 0.352927i 0.381356 0.924428i \(-0.375457\pi\)
0.820601 + 0.571502i \(0.193639\pi\)
\(608\) −2.32165 2.67933i −0.0941555 0.108661i
\(609\) 26.2507 16.8703i 1.06373 0.683620i
\(610\) 4.16412 2.67612i 0.168600 0.108353i
\(611\) −30.0546 34.6848i −1.21588 1.40320i
\(612\) 4.09755 1.20315i 0.165634 0.0486344i
\(613\) 6.07593 42.2590i 0.245405 1.70683i −0.378728 0.925508i \(-0.623638\pi\)
0.624133 0.781318i \(-0.285452\pi\)
\(614\) 1.95746 2.25903i 0.0789966 0.0911670i
\(615\) −2.87413 + 6.29346i −0.115896 + 0.253777i
\(616\) 2.66046 + 0.781181i 0.107193 + 0.0314747i
\(617\) −18.7684 41.0971i −0.755588 1.65451i −0.756055 0.654508i \(-0.772876\pi\)
0.000466890 1.00000i \(-0.499851\pi\)
\(618\) −5.97183 41.5350i −0.240222 1.67078i
\(619\) −4.17253 2.68152i −0.167708 0.107779i 0.454094 0.890954i \(-0.349963\pi\)
−0.621802 + 0.783174i \(0.713599\pi\)
\(620\) −6.58086 −0.264294
\(621\) 3.79420 + 8.38390i 0.152256 + 0.336434i
\(622\) 30.6556 1.22918
\(623\) −19.4263 12.4845i −0.778298 0.500182i
\(624\) −1.60668 11.1747i −0.0643185 0.447345i
\(625\) 0.415415 + 0.909632i 0.0166166 + 0.0363853i
\(626\) −7.45722 2.18964i −0.298050 0.0875155i
\(627\) 6.63133 14.5206i 0.264830 0.579897i
\(628\) 12.1178 13.9847i 0.483552 0.558049i
\(629\) 0.883683 6.14615i 0.0352347 0.245063i
\(630\) −5.73539 + 1.68406i −0.228503 + 0.0670947i
\(631\) 17.1773 + 19.8236i 0.683816 + 0.789165i 0.986471 0.163935i \(-0.0524186\pi\)
−0.302656 + 0.953100i \(0.597873\pi\)
\(632\) 13.1480 8.44969i 0.522998 0.336110i
\(633\) −28.9434 + 18.6008i −1.15040 + 0.739315i
\(634\) 11.4226 + 13.1824i 0.453651 + 0.523541i
\(635\) −13.0324 + 3.82667i −0.517176 + 0.151857i
\(636\) −0.717418 + 4.98975i −0.0284475 + 0.197857i
\(637\) 12.6572 14.6071i 0.501495 0.578756i
\(638\) −5.41768 + 11.8631i −0.214488 + 0.469664i
\(639\) −26.8776 7.89199i −1.06326 0.312202i
\(640\) −0.415415 0.909632i −0.0164207 0.0359564i
\(641\) −1.50954 10.4991i −0.0596234 0.414690i −0.997673 0.0681875i \(-0.978278\pi\)
0.938049 0.346502i \(-0.112631\pi\)
\(642\) −38.8761 24.9841i −1.53432 0.986046i
\(643\) 32.1679 1.26858 0.634288 0.773097i \(-0.281293\pi\)
0.634288 + 0.773097i \(0.281293\pi\)
\(644\) 7.34876 + 2.18511i 0.289582 + 0.0861056i
\(645\) 17.1988 0.677203
\(646\) −3.40631 2.18910i −0.134019 0.0861290i
\(647\) −3.89356 27.0803i −0.153072 1.06464i −0.911032 0.412336i \(-0.864713\pi\)
0.757960 0.652301i \(-0.226196\pi\)
\(648\) −2.59060 5.67261i −0.101768 0.222841i
\(649\) −18.3682 5.39340i −0.721016 0.211709i
\(650\) 1.80658 3.95586i 0.0708599 0.155162i
\(651\) 17.8847 20.6400i 0.700956 0.808947i
\(652\) 1.12529 7.82655i 0.0440697 0.306511i
\(653\) −32.3088 + 9.48672i −1.26434 + 0.371244i −0.844108 0.536173i \(-0.819870\pi\)
−0.420232 + 0.907417i \(0.638051\pi\)
\(654\) 27.8565 + 32.1481i 1.08928 + 1.25709i
\(655\) −3.26580 + 2.09881i −0.127606 + 0.0820071i
\(656\) 2.24206 1.44089i 0.0875379 0.0562572i
\(657\) −7.95529 9.18089i −0.310365 0.358181i
\(658\) 16.1873 4.75303i 0.631048 0.185293i
\(659\) −6.71009 + 46.6697i −0.261388 + 1.81799i 0.261061 + 0.965322i \(0.415928\pi\)
−0.522449 + 0.852671i \(0.674981\pi\)
\(660\) 2.94862 3.40289i 0.114775 0.132457i
\(661\) 14.7649 32.3305i 0.574287 1.25751i −0.370197 0.928953i \(-0.620710\pi\)
0.944483 0.328559i \(-0.106563\pi\)
\(662\) 11.2441 + 3.30157i 0.437015 + 0.128319i
\(663\) −5.35635 11.7288i −0.208023 0.455507i
\(664\) −0.535169 3.72218i −0.0207686 0.144449i
\(665\) 4.76785 + 3.06411i 0.184889 + 0.118821i
\(666\) 20.3288 0.787725
\(667\) −15.0920 + 32.7501i −0.584366 + 1.26809i
\(668\) 20.0577 0.776056
\(669\) 9.75782 + 6.27097i 0.377259 + 0.242450i
\(670\) −0.657710 4.57447i −0.0254095 0.176727i
\(671\) −3.56653 7.80960i −0.137684 0.301486i
\(672\) 3.98191 + 1.16920i 0.153606 + 0.0451027i
\(673\) −20.9307 + 45.8319i −0.806820 + 1.76669i −0.186308 + 0.982491i \(0.559652\pi\)
−0.620512 + 0.784197i \(0.713075\pi\)
\(674\) −14.4882 + 16.7203i −0.558064 + 0.644040i
\(675\) −0.273081 + 1.89932i −0.0105109 + 0.0731048i
\(676\) −5.67306 + 1.66576i −0.218194 + 0.0640677i
\(677\) 9.94454 + 11.4766i 0.382200 + 0.441082i 0.913955 0.405816i \(-0.133013\pi\)
−0.531755 + 0.846898i \(0.678467\pi\)
\(678\) 16.7231 10.7473i 0.642247 0.412747i
\(679\) −6.91213 + 4.44216i −0.265263 + 0.170474i
\(680\) −0.747924 0.863150i −0.0286816 0.0331003i
\(681\) −5.58697 + 1.64048i −0.214093 + 0.0628634i
\(682\) −1.62442 + 11.2981i −0.0622024 + 0.432628i
\(683\) 7.22247 8.33517i 0.276360 0.318937i −0.600554 0.799585i \(-0.705053\pi\)
0.876914 + 0.480648i \(0.159599\pi\)
\(684\) 5.50687 12.0584i 0.210560 0.461063i
\(685\) −12.6155 3.70425i −0.482014 0.141532i
\(686\) 7.60015 + 16.6420i 0.290175 + 0.635395i
\(687\) −1.63088 11.3430i −0.0622219 0.432763i
\(688\) −5.57343 3.58183i −0.212485 0.136556i
\(689\) 8.44490 0.321725
\(690\) 8.18509 9.38109i 0.311601 0.357132i
\(691\) −32.0587 −1.21957 −0.609785 0.792567i \(-0.708744\pi\)
−0.609785 + 0.792567i \(0.708744\pi\)
\(692\) −4.35740 2.80033i −0.165643 0.106453i
\(693\) 1.47550 + 10.2623i 0.0560495 + 0.389833i
\(694\) −10.3229 22.6040i −0.391852 0.858037i
\(695\) −10.1529 2.98115i −0.385121 0.113082i
\(696\) −8.10866 + 17.7555i −0.307358 + 0.673020i
\(697\) 1.99333 2.30042i 0.0755026 0.0871347i
\(698\) −1.37901 + 9.59122i −0.0521963 + 0.363033i
\(699\) −11.1617 + 3.27737i −0.422174 + 0.123962i
\(700\) 1.04688 + 1.20816i 0.0395683 + 0.0456642i
\(701\) 33.2863 21.3918i 1.25721 0.807957i 0.269306 0.963055i \(-0.413206\pi\)
0.987899 + 0.155098i \(0.0495693\pi\)
\(702\) 7.02010 4.51154i 0.264956 0.170277i
\(703\) −12.6222 14.5668i −0.476056 0.549397i
\(704\) −1.66421 + 0.488657i −0.0627224 + 0.0184170i
\(705\) 3.89888 27.1173i 0.146840 1.02130i
\(706\) −20.6224 + 23.7995i −0.776135 + 0.895708i
\(707\) 11.5365 25.2614i 0.433875 0.950053i
\(708\) −27.4918 8.07232i −1.03320 0.303376i
\(709\) 4.98169 + 10.9084i 0.187091 + 0.409673i 0.979814 0.199909i \(-0.0640647\pi\)
−0.792723 + 0.609582i \(0.791337\pi\)
\(710\) 1.06617 + 7.41536i 0.0400126 + 0.278294i
\(711\) 49.1623 + 31.5947i 1.84373 + 1.18489i
\(712\) 14.4449 0.541347
\(713\) −4.59835 + 31.2239i −0.172209 + 1.16934i
\(714\) 4.73979 0.177382
\(715\) −6.34555 4.07804i −0.237310 0.152510i
\(716\) 1.05757 + 7.35557i 0.0395233 + 0.274891i
\(717\) 5.38834 + 11.7988i 0.201231 + 0.440635i
\(718\) 23.4141 + 6.87499i 0.873806 + 0.256572i
\(719\) 9.63967 21.1079i 0.359499 0.787193i −0.640319 0.768109i \(-0.721198\pi\)
0.999818 0.0190837i \(-0.00607489\pi\)
\(720\) 2.44863 2.82587i 0.0912550 0.105314i
\(721\) 3.67749 25.5775i 0.136957 0.952557i
\(722\) 6.17060 1.81185i 0.229646 0.0674301i
\(723\) 26.4555 + 30.5313i 0.983891 + 1.13547i
\(724\) 6.25986 4.02297i 0.232646 0.149512i
\(725\) −6.32545 + 4.06512i −0.234921 + 0.150975i
\(726\) 13.5858 + 15.6789i 0.504217 + 0.581898i
\(727\) −45.5370 + 13.3709i −1.68888 + 0.495899i −0.978208 0.207629i \(-0.933425\pi\)
−0.710668 + 0.703528i \(0.751607\pi\)
\(728\) 0.989401 6.88144i 0.0366697 0.255043i
\(729\) 25.0563 28.9165i 0.928009 1.07098i
\(730\) −1.34963 + 2.95528i −0.0499521 + 0.109380i
\(731\) −7.26016 2.13178i −0.268527 0.0788466i
\(732\) −5.33803 11.6887i −0.197299 0.432025i
\(733\) 0.0150415 + 0.104616i 0.000555570 + 0.00386407i 0.990097 0.140383i \(-0.0448332\pi\)
−0.989542 + 0.144247i \(0.953924\pi\)
\(734\) −18.9002 12.1464i −0.697618 0.448332i
\(735\) 11.5376 0.425570
\(736\) −4.60616 + 1.33540i −0.169785 + 0.0492235i
\(737\) −8.01588 −0.295269
\(738\) 8.38344 + 5.38771i 0.308599 + 0.198324i
\(739\) −1.01845 7.08344i −0.0374641 0.260569i 0.962478 0.271361i \(-0.0874737\pi\)
−0.999942 + 0.0107923i \(0.996565\pi\)
\(740\) −2.25850 4.94542i −0.0830241 0.181797i
\(741\) −38.4033 11.2762i −1.41078 0.414242i
\(742\) −1.28958 + 2.82379i −0.0473420 + 0.103665i
\(743\) 8.14367 9.39830i 0.298762 0.344790i −0.586443 0.809990i \(-0.699472\pi\)
0.885205 + 0.465200i \(0.154018\pi\)
\(744\) −2.43128 + 16.9099i −0.0891351 + 0.619948i
\(745\) 15.2246 4.47034i 0.557786 0.163781i
\(746\) −7.34032 8.47119i −0.268748 0.310152i
\(747\) 11.8288 7.60193i 0.432794 0.278140i
\(748\) −1.66649 + 1.07099i −0.0609329 + 0.0391592i
\(749\) −18.6358 21.5069i −0.680939 0.785845i
\(750\) 2.49083 0.731375i 0.0909524 0.0267060i
\(751\) 0.825322 5.74024i 0.0301164 0.209464i −0.969207 0.246248i \(-0.920802\pi\)
0.999323 + 0.0367837i \(0.0117113\pi\)
\(752\) −6.91091 + 7.97562i −0.252015 + 0.290841i
\(753\) −8.03067 + 17.5847i −0.292654 + 0.640822i
\(754\) 31.3748 + 9.21248i 1.14260 + 0.335499i
\(755\) 8.88330 + 19.4517i 0.323296 + 0.707920i
\(756\) 0.436555 + 3.03630i 0.0158773 + 0.110429i
\(757\) −24.7813 15.9260i −0.900693 0.578840i 0.00630264 0.999980i \(-0.497994\pi\)
−0.906996 + 0.421140i \(0.861630\pi\)
\(758\) 21.7078 0.788461
\(759\) −14.0852 16.3679i −0.511260 0.594119i
\(760\) −3.54526 −0.128600
\(761\) −8.05368 5.17578i −0.291946 0.187622i 0.386467 0.922303i \(-0.373695\pi\)
−0.678412 + 0.734681i \(0.737332\pi\)
\(762\) 5.01807 + 34.9014i 0.181786 + 1.26435i
\(763\) 10.8819 + 23.8280i 0.393951 + 0.862632i
\(764\) 0.0164351 + 0.00482579i 0.000594602 + 0.000174591i
\(765\) 1.77405 3.88462i 0.0641407 0.140449i
\(766\) −0.528534 + 0.609960i −0.0190967 + 0.0220388i
\(767\) −6.83099 + 47.5106i −0.246653 + 1.71551i
\(768\) −2.49083 + 0.731375i −0.0898802 + 0.0263912i
\(769\) −13.8825 16.0213i −0.500617 0.577743i 0.448054 0.894006i \(-0.352117\pi\)
−0.948671 + 0.316263i \(0.897572\pi\)
\(770\) 2.33261 1.49907i 0.0840613 0.0540229i
\(771\) 49.4560 31.7835i 1.78112 1.14465i
\(772\)