Properties

Label 570.2.bi.a.557.7
Level $570$
Weight $2$
Character 570.557
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 557.7
Character \(\chi\) \(=\) 570.557
Dual form 570.2.bi.a.263.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0871557 + 0.996195i) q^{2} +(-1.06366 - 1.36698i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.95247 + 1.08989i) q^{5} +(1.45448 - 0.940472i) q^{6} +(-1.28322 + 0.343837i) q^{7} +(0.258819 - 0.965926i) q^{8} +(-0.737255 + 2.90800i) q^{9} +O(q^{10})\) \(q+(-0.0871557 + 0.996195i) q^{2} +(-1.06366 - 1.36698i) q^{3} +(-0.984808 - 0.173648i) q^{4} +(1.95247 + 1.08989i) q^{5} +(1.45448 - 0.940472i) q^{6} +(-1.28322 + 0.343837i) q^{7} +(0.258819 - 0.965926i) q^{8} +(-0.737255 + 2.90800i) q^{9} +(-1.25591 + 1.85005i) q^{10} +(-4.64456 + 2.68154i) q^{11} +(0.810127 + 1.53091i) q^{12} +(1.47825 - 3.17012i) q^{13} +(-0.230689 - 1.30830i) q^{14} +(-0.586915 - 3.82825i) q^{15} +(0.939693 + 0.342020i) q^{16} +(-0.458283 + 5.23819i) q^{17} +(-2.83268 - 0.987899i) q^{18} +(4.21168 - 1.12327i) q^{19} +(-1.73355 - 1.41237i) q^{20} +(1.83492 + 1.38840i) q^{21} +(-2.26653 - 4.86059i) q^{22} +(-6.24450 + 4.37245i) q^{23} +(-1.59569 + 0.673617i) q^{24} +(2.62429 + 4.25595i) q^{25} +(3.02921 + 1.74892i) q^{26} +(4.75936 - 2.08531i) q^{27} +(1.32343 - 0.115785i) q^{28} +(1.96385 + 1.64787i) q^{29} +(3.86484 - 0.251028i) q^{30} +(-4.70677 + 8.15237i) q^{31} +(-0.422618 + 0.906308i) q^{32} +(8.60583 + 3.49676i) q^{33} +(-5.17832 - 0.913077i) q^{34} +(-2.88019 - 0.727229i) q^{35} +(1.23102 - 2.73580i) q^{36} +(-2.77322 - 2.77322i) q^{37} +(0.751926 + 4.29355i) q^{38} +(-5.90583 + 1.35119i) q^{39} +(1.55809 - 1.60386i) q^{40} +(-1.57136 + 4.31727i) q^{41} +(-1.54304 + 1.70693i) q^{42} +(0.480575 + 0.336502i) q^{43} +(5.03964 - 1.83428i) q^{44} +(-4.60886 + 4.87426i) q^{45} +(-3.81156 - 6.60182i) q^{46} +(3.09441 - 0.270725i) q^{47} +(-0.531979 - 1.64833i) q^{48} +(-4.53376 + 2.61757i) q^{49} +(-4.46847 + 2.24338i) q^{50} +(7.64795 - 4.94519i) q^{51} +(-2.00628 + 2.86526i) q^{52} +(1.61214 - 1.12883i) q^{53} +(1.66257 + 4.92299i) q^{54} +(-11.9909 + 0.173583i) q^{55} +1.32848i q^{56} +(-6.01528 - 4.56249i) q^{57} +(-1.81276 + 1.81276i) q^{58} +(-11.6185 + 9.74909i) q^{59} +(-0.0867706 + 3.87201i) q^{60} +(-1.33887 + 7.59310i) q^{61} +(-7.71113 - 5.39939i) q^{62} +(-0.0538185 - 3.98509i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(6.34131 - 4.57844i) q^{65} +(-4.23350 + 8.26832i) q^{66} +(-1.05602 - 12.0703i) q^{67} +(1.36092 - 5.07903i) q^{68} +(12.6191 + 3.88530i) q^{69} +(0.975486 - 2.80584i) q^{70} +(5.16453 - 0.910646i) q^{71} +(2.61809 + 1.46478i) q^{72} +(11.3679 - 5.30093i) q^{73} +(3.00437 - 2.52096i) q^{74} +(3.02643 - 8.11423i) q^{75} +(-4.34275 + 0.374857i) q^{76} +(5.03796 - 5.03796i) q^{77} +(-0.831322 - 6.00112i) q^{78} +(0.195979 - 0.538447i) q^{79} +(1.46196 + 1.69194i) q^{80} +(-7.91291 - 4.28788i) q^{81} +(-4.16389 - 1.94165i) q^{82} +(12.9834 - 3.47889i) q^{83} +(-1.56595 - 1.68594i) q^{84} +(-6.60382 + 9.72795i) q^{85} +(-0.377106 + 0.449418i) q^{86} +(0.163727 - 4.43731i) q^{87} +(1.38806 + 5.18033i) q^{88} +(7.24577 - 2.63724i) q^{89} +(-4.45402 - 5.01614i) q^{90} +(-0.806911 + 4.57622i) q^{91} +(6.90890 - 3.22167i) q^{92} +(16.1505 - 2.23730i) q^{93} +3.10623i q^{94} +(9.44743 + 2.39710i) q^{95} +(1.68842 - 0.386293i) q^{96} +(3.27952 + 0.286921i) q^{97} +(-2.21246 - 4.74464i) q^{98} +(-4.37368 - 15.4833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0871557 + 0.996195i −0.0616284 + 0.704416i
\(3\) −1.06366 1.36698i −0.614104 0.789225i
\(4\) −0.984808 0.173648i −0.492404 0.0868241i
\(5\) 1.95247 + 1.08989i 0.873172 + 0.487412i
\(6\) 1.45448 0.940472i 0.593789 0.383946i
\(7\) −1.28322 + 0.343837i −0.485010 + 0.129958i −0.493035 0.870010i \(-0.664112\pi\)
0.00802443 + 0.999968i \(0.497446\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) −0.737255 + 2.90800i −0.245752 + 0.969333i
\(10\) −1.25591 + 1.85005i −0.397153 + 0.585038i
\(11\) −4.64456 + 2.68154i −1.40039 + 0.808513i −0.994432 0.105380i \(-0.966394\pi\)
−0.405954 + 0.913893i \(0.633061\pi\)
\(12\) 0.810127 + 1.53091i 0.233864 + 0.441936i
\(13\) 1.47825 3.17012i 0.409993 0.879232i −0.587551 0.809187i \(-0.699908\pi\)
0.997544 0.0700450i \(-0.0223143\pi\)
\(14\) −0.230689 1.30830i −0.0616541 0.349658i
\(15\) −0.586915 3.82825i −0.151541 0.988451i
\(16\) 0.939693 + 0.342020i 0.234923 + 0.0855050i
\(17\) −0.458283 + 5.23819i −0.111150 + 1.27045i 0.711819 + 0.702363i \(0.247871\pi\)
−0.822969 + 0.568086i \(0.807684\pi\)
\(18\) −2.83268 0.987899i −0.667668 0.232850i
\(19\) 4.21168 1.12327i 0.966226 0.257696i
\(20\) −1.73355 1.41237i −0.387634 0.315816i
\(21\) 1.83492 + 1.38840i 0.400413 + 0.302974i
\(22\) −2.26653 4.86059i −0.483226 1.03628i
\(23\) −6.24450 + 4.37245i −1.30207 + 0.911718i −0.999147 0.0412973i \(-0.986851\pi\)
−0.302922 + 0.953015i \(0.597962\pi\)
\(24\) −1.59569 + 0.673617i −0.325720 + 0.137501i
\(25\) 2.62429 + 4.25595i 0.524859 + 0.851189i
\(26\) 3.02921 + 1.74892i 0.594078 + 0.342991i
\(27\) 4.75936 2.08531i 0.915939 0.401318i
\(28\) 1.32343 0.115785i 0.250104 0.0218813i
\(29\) 1.96385 + 1.64787i 0.364678 + 0.306001i 0.806652 0.591027i \(-0.201277\pi\)
−0.441974 + 0.897028i \(0.645722\pi\)
\(30\) 3.86484 0.251028i 0.705620 0.0458312i
\(31\) −4.70677 + 8.15237i −0.845362 + 1.46421i 0.0399451 + 0.999202i \(0.487282\pi\)
−0.885307 + 0.465007i \(0.846052\pi\)
\(32\) −0.422618 + 0.906308i −0.0747091 + 0.160214i
\(33\) 8.60583 + 3.49676i 1.49808 + 0.608708i
\(34\) −5.17832 0.913077i −0.888074 0.156591i
\(35\) −2.88019 0.727229i −0.486840 0.122924i
\(36\) 1.23102 2.73580i 0.205171 0.455966i
\(37\) −2.77322 2.77322i −0.455914 0.455914i 0.441397 0.897312i \(-0.354483\pi\)
−0.897312 + 0.441397i \(0.854483\pi\)
\(38\) 0.751926 + 4.29355i 0.121979 + 0.696506i
\(39\) −5.90583 + 1.35119i −0.945690 + 0.216364i
\(40\) 1.55809 1.60386i 0.246355 0.253592i
\(41\) −1.57136 + 4.31727i −0.245405 + 0.674245i 0.754435 + 0.656374i \(0.227911\pi\)
−0.999840 + 0.0178703i \(0.994311\pi\)
\(42\) −1.54304 + 1.70693i −0.238097 + 0.263385i
\(43\) 0.480575 + 0.336502i 0.0732869 + 0.0513161i 0.609646 0.792674i \(-0.291312\pi\)
−0.536359 + 0.843990i \(0.680201\pi\)
\(44\) 5.03964 1.83428i 0.759754 0.276528i
\(45\) −4.60886 + 4.87426i −0.687048 + 0.726612i
\(46\) −3.81156 6.60182i −0.561984 0.973386i
\(47\) 3.09441 0.270725i 0.451365 0.0394894i 0.140793 0.990039i \(-0.455035\pi\)
0.310573 + 0.950550i \(0.399479\pi\)
\(48\) −0.531979 1.64833i −0.0767846 0.237916i
\(49\) −4.53376 + 2.61757i −0.647680 + 0.373938i
\(50\) −4.46847 + 2.24338i −0.631938 + 0.317261i
\(51\) 7.64795 4.94519i 1.07093 0.692466i
\(52\) −2.00628 + 2.86526i −0.278220 + 0.397340i
\(53\) 1.61214 1.12883i 0.221444 0.155057i −0.457591 0.889163i \(-0.651287\pi\)
0.679035 + 0.734106i \(0.262399\pi\)
\(54\) 1.66257 + 4.92299i 0.226247 + 0.669935i
\(55\) −11.9909 + 0.173583i −1.61686 + 0.0234060i
\(56\) 1.32848i 0.177526i
\(57\) −6.01528 4.56249i −0.796744 0.604317i
\(58\) −1.81276 + 1.81276i −0.238027 + 0.238027i
\(59\) −11.6185 + 9.74909i −1.51260 + 1.26922i −0.654107 + 0.756402i \(0.726955\pi\)
−0.858495 + 0.512822i \(0.828600\pi\)
\(60\) −0.0867706 + 3.87201i −0.0112020 + 0.499874i
\(61\) −1.33887 + 7.59310i −0.171425 + 0.972197i 0.770766 + 0.637119i \(0.219874\pi\)
−0.942190 + 0.335078i \(0.891237\pi\)
\(62\) −7.71113 5.39939i −0.979314 0.685723i
\(63\) −0.0538185 3.98509i −0.00678049 0.502074i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 6.34131 4.57844i 0.786542 0.567885i
\(66\) −4.23350 + 8.26832i −0.521108 + 1.01776i
\(67\) −1.05602 12.0703i −0.129013 1.47462i −0.734413 0.678703i \(-0.762543\pi\)
0.605400 0.795921i \(-0.293013\pi\)
\(68\) 1.36092 5.07903i 0.165036 0.615923i
\(69\) 12.6191 + 3.88530i 1.51916 + 0.467735i
\(70\) 0.975486 2.80584i 0.116593 0.335363i
\(71\) 5.16453 0.910646i 0.612917 0.108074i 0.141432 0.989948i \(-0.454829\pi\)
0.471485 + 0.881874i \(0.343718\pi\)
\(72\) 2.61809 + 1.46478i 0.308545 + 0.172626i
\(73\) 11.3679 5.30093i 1.33051 0.620427i 0.378246 0.925705i \(-0.376527\pi\)
0.952263 + 0.305278i \(0.0987494\pi\)
\(74\) 3.00437 2.52096i 0.349251 0.293056i
\(75\) 3.02643 8.11423i 0.349462 0.936951i
\(76\) −4.34275 + 0.374857i −0.498148 + 0.0429991i
\(77\) 5.03796 5.03796i 0.574129 0.574129i
\(78\) −0.831322 6.00112i −0.0941287 0.679493i
\(79\) 0.195979 0.538447i 0.0220493 0.0605800i −0.928180 0.372132i \(-0.878627\pi\)
0.950229 + 0.311552i \(0.100849\pi\)
\(80\) 1.46196 + 1.69194i 0.163452 + 0.189165i
\(81\) −7.91291 4.28788i −0.879212 0.476431i
\(82\) −4.16389 1.94165i −0.459825 0.214420i
\(83\) 12.9834 3.47889i 1.42511 0.381858i 0.537819 0.843061i \(-0.319249\pi\)
0.887295 + 0.461203i \(0.152582\pi\)
\(84\) −1.56595 1.68594i −0.170859 0.183951i
\(85\) −6.60382 + 9.72795i −0.716285 + 1.05514i
\(86\) −0.377106 + 0.449418i −0.0406644 + 0.0484620i
\(87\) 0.163727 4.43731i 0.0175534 0.475730i
\(88\) 1.38806 + 5.18033i 0.147968 + 0.552225i
\(89\) 7.24577 2.63724i 0.768050 0.279547i 0.0718692 0.997414i \(-0.477104\pi\)
0.696180 + 0.717867i \(0.254881\pi\)
\(90\) −4.45402 5.01614i −0.469495 0.528748i
\(91\) −0.806911 + 4.57622i −0.0845873 + 0.479718i
\(92\) 6.90890 3.22167i 0.720303 0.335883i
\(93\) 16.1505 2.23730i 1.67473 0.231997i
\(94\) 3.10623i 0.320383i
\(95\) 9.44743 + 2.39710i 0.969286 + 0.245937i
\(96\) 1.68842 0.386293i 0.172324 0.0394259i
\(97\) 3.27952 + 0.286921i 0.332985 + 0.0291324i 0.252422 0.967617i \(-0.418773\pi\)
0.0805626 + 0.996750i \(0.474328\pi\)
\(98\) −2.21246 4.74464i −0.223492 0.479281i
\(99\) −4.37368 15.4833i −0.439571 1.55613i
\(100\) −1.84539 4.64699i −0.184539 0.464699i
\(101\) −2.79744 7.68592i −0.278356 0.764777i −0.997549 0.0699670i \(-0.977711\pi\)
0.719193 0.694810i \(-0.244512\pi\)
\(102\) 4.25981 + 8.04985i 0.421784 + 0.797054i
\(103\) −3.19103 0.855033i −0.314421 0.0842489i 0.0981575 0.995171i \(-0.468705\pi\)
−0.412579 + 0.910922i \(0.635372\pi\)
\(104\) −2.67950 2.24837i −0.262746 0.220470i
\(105\) 2.06943 + 4.71067i 0.201956 + 0.459715i
\(106\) 0.984029 + 1.70439i 0.0955773 + 0.165545i
\(107\) 1.55747 + 5.81255i 0.150566 + 0.561921i 0.999444 + 0.0333321i \(0.0106119\pi\)
−0.848878 + 0.528589i \(0.822721\pi\)
\(108\) −5.04916 + 1.22717i −0.485856 + 0.118085i
\(109\) 2.40479 0.424030i 0.230337 0.0406147i −0.0572880 0.998358i \(-0.518245\pi\)
0.287625 + 0.957743i \(0.407134\pi\)
\(110\) 0.872156 11.9604i 0.0831568 1.14038i
\(111\) −0.841167 + 6.74069i −0.0798400 + 0.639798i
\(112\) −1.32343 0.115785i −0.125052 0.0109406i
\(113\) −2.14681 2.14681i −0.201955 0.201955i 0.598882 0.800837i \(-0.295612\pi\)
−0.800837 + 0.598882i \(0.795612\pi\)
\(114\) 5.06940 5.59475i 0.474793 0.523996i
\(115\) −16.9577 + 1.73128i −1.58131 + 0.161443i
\(116\) −1.64787 1.96385i −0.153001 0.182339i
\(117\) 8.12884 + 6.63593i 0.751512 + 0.613492i
\(118\) −8.69937 12.4240i −0.800842 1.14372i
\(119\) −1.21301 6.87931i −0.111196 0.630625i
\(120\) −3.84971 0.423908i −0.351429 0.0386974i
\(121\) 8.88126 15.3828i 0.807388 1.39844i
\(122\) −7.44752 1.99556i −0.674267 0.180669i
\(123\) 7.57301 2.44410i 0.682835 0.220377i
\(124\) 6.05091 7.21120i 0.543388 0.647585i
\(125\) 0.485361 + 11.1698i 0.0434120 + 0.999057i
\(126\) 3.97461 + 0.293709i 0.354087 + 0.0261657i
\(127\) −4.86876 2.27034i −0.432033 0.201460i 0.194422 0.980918i \(-0.437717\pi\)
−0.626455 + 0.779458i \(0.715495\pi\)
\(128\) 0.573576 0.819152i 0.0506975 0.0724035i
\(129\) −0.0511773 1.01486i −0.00450591 0.0893533i
\(130\) 4.00833 + 6.71621i 0.351554 + 0.589051i
\(131\) −10.5741 12.6017i −0.923861 1.10101i −0.994627 0.103521i \(-0.966989\pi\)
0.0707665 0.997493i \(-0.477455\pi\)
\(132\) −7.86788 4.93802i −0.684811 0.429800i
\(133\) −5.01827 + 2.88953i −0.435140 + 0.250554i
\(134\) 12.1164 1.04670
\(135\) 11.5653 + 1.11565i 0.995379 + 0.0960201i
\(136\) 4.94109 + 1.79841i 0.423695 + 0.154212i
\(137\) −8.44657 12.0629i −0.721639 1.03061i −0.997587 0.0694345i \(-0.977881\pi\)
0.275948 0.961173i \(-0.411008\pi\)
\(138\) −4.97034 + 12.2324i −0.423103 + 1.04129i
\(139\) 1.32450 + 3.63904i 0.112343 + 0.308660i 0.983104 0.183046i \(-0.0585958\pi\)
−0.870761 + 0.491706i \(0.836374\pi\)
\(140\) 2.71015 + 1.21632i 0.229049 + 0.102798i
\(141\) −3.66147 3.94202i −0.308351 0.331978i
\(142\) 0.457062 + 5.22424i 0.0383558 + 0.438409i
\(143\) 1.63497 + 18.6878i 0.136723 + 1.56275i
\(144\) −1.68739 + 2.48047i −0.140616 + 0.206706i
\(145\) 2.03838 + 5.35779i 0.169278 + 0.444940i
\(146\) 4.28998 + 11.7866i 0.355041 + 0.975468i
\(147\) 8.40053 + 3.41335i 0.692864 + 0.281528i
\(148\) 2.24952 + 3.21265i 0.184910 + 0.264078i
\(149\) −12.3106 4.48069i −1.00852 0.367072i −0.215657 0.976469i \(-0.569189\pi\)
−0.792865 + 0.609397i \(0.791412\pi\)
\(150\) 7.81958 + 3.72211i 0.638466 + 0.303909i
\(151\) 21.4721 1.74737 0.873686 0.486490i \(-0.161723\pi\)
0.873686 + 0.486490i \(0.161723\pi\)
\(152\) 0.00506498 4.35890i 0.000410824 0.353553i
\(153\) −14.8948 5.19457i −1.20417 0.419956i
\(154\) 4.57970 + 5.45787i 0.369043 + 0.439808i
\(155\) −18.0750 + 10.7874i −1.45182 + 0.866467i
\(156\) 6.05074 0.305127i 0.484447 0.0244297i
\(157\) 0.0739605 0.105627i 0.00590269 0.00842992i −0.816190 0.577784i \(-0.803918\pi\)
0.822093 + 0.569354i \(0.192807\pi\)
\(158\) 0.519317 + 0.242162i 0.0413147 + 0.0192654i
\(159\) −3.25785 1.00306i −0.258365 0.0795482i
\(160\) −1.81292 + 1.30893i −0.143324 + 0.103480i
\(161\) 6.50964 7.75788i 0.513031 0.611407i
\(162\) 4.96121 7.50908i 0.389790 0.589969i
\(163\) 12.9706 + 3.47547i 1.01594 + 0.272220i 0.728109 0.685462i \(-0.240400\pi\)
0.287830 + 0.957682i \(0.407066\pi\)
\(164\) 2.29717 3.97882i 0.179379 0.310694i
\(165\) 12.9916 + 16.2067i 1.01139 + 1.26169i
\(166\) 2.33408 + 13.2372i 0.181159 + 1.02741i
\(167\) 1.24372 + 1.77622i 0.0962421 + 0.137448i 0.864385 0.502830i \(-0.167708\pi\)
−0.768143 + 0.640278i \(0.778819\pi\)
\(168\) 1.81601 1.41305i 0.140108 0.109019i
\(169\) 0.491824 + 0.586133i 0.0378326 + 0.0450872i
\(170\) −9.11537 7.42654i −0.699117 0.569589i
\(171\) 0.161391 + 13.0757i 0.0123419 + 0.999924i
\(172\) −0.414841 0.414841i −0.0316313 0.0316313i
\(173\) 7.48477 + 0.654833i 0.569057 + 0.0497860i 0.368054 0.929805i \(-0.380024\pi\)
0.201003 + 0.979591i \(0.435580\pi\)
\(174\) 4.40616 + 0.549842i 0.334030 + 0.0416834i
\(175\) −4.83089 4.55897i −0.365181 0.344626i
\(176\) −5.28159 + 0.931287i −0.398115 + 0.0701984i
\(177\) 25.6849 + 5.51253i 1.93060 + 0.414347i
\(178\) 1.99570 + 7.44804i 0.149584 + 0.558255i
\(179\) 6.10778 + 10.5790i 0.456517 + 0.790711i 0.998774 0.0495017i \(-0.0157633\pi\)
−0.542257 + 0.840213i \(0.682430\pi\)
\(180\) 5.38525 3.99989i 0.401393 0.298134i
\(181\) 8.94144 + 7.50276i 0.664612 + 0.557675i 0.911465 0.411377i \(-0.134952\pi\)
−0.246853 + 0.969053i \(0.579397\pi\)
\(182\) −4.48848 1.20268i −0.332708 0.0891489i
\(183\) 11.8037 6.24628i 0.872555 0.461738i
\(184\) 2.60726 + 7.16340i 0.192210 + 0.528093i
\(185\) −2.39214 8.43713i −0.175874 0.620310i
\(186\) 0.821172 + 16.2841i 0.0602113 + 1.19400i
\(187\) −11.9179 25.5580i −0.871522 1.86898i
\(188\) −3.09441 0.270725i −0.225683 0.0197447i
\(189\) −5.39028 + 4.31234i −0.392085 + 0.313677i
\(190\) −3.21137 + 9.20256i −0.232977 + 0.667624i
\(191\) 26.1328i 1.89091i −0.325760 0.945453i \(-0.605620\pi\)
0.325760 0.945453i \(-0.394380\pi\)
\(192\) 0.237668 + 1.71567i 0.0171522 + 0.123818i
\(193\) −12.8346 + 5.98487i −0.923855 + 0.430801i −0.825533 0.564354i \(-0.809125\pi\)
−0.0983220 + 0.995155i \(0.531348\pi\)
\(194\) −0.571659 + 3.24204i −0.0410427 + 0.232765i
\(195\) −13.0036 3.79852i −0.931208 0.272018i
\(196\) 4.91942 1.79052i 0.351387 0.127894i
\(197\) 0.464609 + 1.73395i 0.0331020 + 0.123539i 0.980500 0.196520i \(-0.0629641\pi\)
−0.947398 + 0.320059i \(0.896297\pi\)
\(198\) 15.8056 3.00757i 1.12326 0.213739i
\(199\) −1.70984 + 2.03771i −0.121207 + 0.144449i −0.823236 0.567700i \(-0.807833\pi\)
0.702028 + 0.712149i \(0.252278\pi\)
\(200\) 4.79015 1.43335i 0.338714 0.101353i
\(201\) −15.3766 + 14.2823i −1.08458 + 1.00739i
\(202\) 7.90048 2.11693i 0.555876 0.148947i
\(203\) −3.08664 1.43933i −0.216640 0.101021i
\(204\) −8.39048 + 3.54201i −0.587451 + 0.247991i
\(205\) −7.77337 + 6.71675i −0.542916 + 0.469118i
\(206\) 1.12990 3.10436i 0.0787235 0.216291i
\(207\) −8.11127 21.3826i −0.563773 1.48619i
\(208\) 2.47334 2.47334i 0.171496 0.171496i
\(209\) −16.5493 + 16.5109i −1.14474 + 1.14208i
\(210\) −4.87311 + 1.65100i −0.336277 + 0.113930i
\(211\) −1.98922 + 1.66915i −0.136943 + 0.114909i −0.708686 0.705524i \(-0.750712\pi\)
0.571743 + 0.820433i \(0.306267\pi\)
\(212\) −1.78367 + 0.831737i −0.122503 + 0.0571239i
\(213\) −6.73813 6.09118i −0.461689 0.417361i
\(214\) −5.92618 + 1.04495i −0.405105 + 0.0714310i
\(215\) 0.571559 + 1.18078i 0.0389800 + 0.0805287i
\(216\) −0.782442 5.13690i −0.0532384 0.349522i
\(217\) 3.23672 12.0796i 0.219723 0.820018i
\(218\) 0.212825 + 2.43260i 0.0144143 + 0.164756i
\(219\) −19.3378 9.90125i −1.30673 0.669065i
\(220\) 11.8389 + 1.91126i 0.798179 + 0.128857i
\(221\) 15.9282 + 9.19617i 1.07145 + 0.618601i
\(222\) −6.64173 1.42546i −0.445764 0.0956703i
\(223\) −22.1860 15.5348i −1.48569 1.04029i −0.984586 0.174900i \(-0.944040\pi\)
−0.501101 0.865389i \(-0.667071\pi\)
\(224\) 0.230689 1.30830i 0.0154135 0.0874145i
\(225\) −14.3111 + 4.49372i −0.954071 + 0.299581i
\(226\) 2.32574 1.95153i 0.154706 0.129814i
\(227\) 10.5330 10.5330i 0.699098 0.699098i −0.265118 0.964216i \(-0.585411\pi\)
0.964216 + 0.265118i \(0.0854108\pi\)
\(228\) 5.13163 + 5.53772i 0.339851 + 0.366745i
\(229\) 6.15926i 0.407015i 0.979073 + 0.203508i \(0.0652342\pi\)
−0.979073 + 0.203508i \(0.934766\pi\)
\(230\) −0.246733 17.0440i −0.0162691 1.12385i
\(231\) −12.2455 1.52810i −0.805691 0.100542i
\(232\) 2.10000 1.47044i 0.137872 0.0965388i
\(233\) −16.0181 + 22.8762i −1.04938 + 1.49867i −0.193773 + 0.981046i \(0.562073\pi\)
−0.855608 + 0.517625i \(0.826816\pi\)
\(234\) −7.31916 + 7.51955i −0.478468 + 0.491569i
\(235\) 6.33680 + 2.84397i 0.413367 + 0.185520i
\(236\) 13.1349 7.58345i 0.855010 0.493640i
\(237\) −0.944500 + 0.304826i −0.0613519 + 0.0198006i
\(238\) 6.95885 0.608821i 0.451075 0.0394640i
\(239\) 5.78737 + 10.0240i 0.374354 + 0.648400i 0.990230 0.139443i \(-0.0445312\pi\)
−0.615876 + 0.787843i \(0.711198\pi\)
\(240\) 0.757820 3.79812i 0.0489171 0.245168i
\(241\) −0.940669 + 0.342376i −0.0605938 + 0.0220544i −0.372139 0.928177i \(-0.621376\pi\)
0.311545 + 0.950231i \(0.399153\pi\)
\(242\) 14.5502 + 10.1882i 0.935323 + 0.654920i
\(243\) 2.55521 + 15.3776i 0.163917 + 0.986474i
\(244\) 2.63706 7.24526i 0.168820 0.463830i
\(245\) −11.7049 + 0.169443i −0.747798 + 0.0108253i
\(246\) 1.77477 + 7.75720i 0.113155 + 0.494581i
\(247\) 2.66501 15.0120i 0.169571 0.955190i
\(248\) 6.65638 + 6.65638i 0.422681 + 0.422681i
\(249\) −18.5655 14.0477i −1.17654 0.890234i
\(250\) −11.1696 0.489998i −0.706427 0.0309902i
\(251\) 20.4656 + 3.60863i 1.29178 + 0.227775i 0.776973 0.629534i \(-0.216754\pi\)
0.514802 + 0.857309i \(0.327865\pi\)
\(252\) −0.639002 + 3.93389i −0.0402533 + 0.247812i
\(253\) 17.2781 37.0529i 1.08626 2.32950i
\(254\) 2.68604 4.65236i 0.168537 0.291915i
\(255\) 20.3221 1.31995i 1.27262 0.0826587i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 4.47707 0.391693i 0.279272 0.0244332i 0.0533408 0.998576i \(-0.483013\pi\)
0.225931 + 0.974143i \(0.427457\pi\)
\(258\) 1.01546 + 0.0374682i 0.0632196 + 0.00233267i
\(259\) 4.51217 + 2.60511i 0.280373 + 0.161873i
\(260\) −7.04001 + 3.40773i −0.436603 + 0.211338i
\(261\) −6.23986 + 4.49598i −0.386237 + 0.278294i
\(262\) 13.4753 9.43552i 0.832508 0.582929i
\(263\) 1.77574 + 3.80808i 0.109497 + 0.234816i 0.953419 0.301649i \(-0.0975371\pi\)
−0.843922 + 0.536465i \(0.819759\pi\)
\(264\) 5.60496 7.40756i 0.344962 0.455904i
\(265\) 4.37795 0.446964i 0.268936 0.0274568i
\(266\) −2.44117 5.25102i −0.149677 0.321961i
\(267\) −11.3121 7.09967i −0.692288 0.434493i
\(268\) −1.05602 + 12.0703i −0.0645064 + 0.737312i
\(269\) −7.87469 2.86615i −0.480128 0.174752i 0.0906067 0.995887i \(-0.471119\pi\)
−0.570735 + 0.821134i \(0.693342\pi\)
\(270\) −2.11939 + 11.4240i −0.128982 + 0.695244i
\(271\) −0.0185044 0.104944i −0.00112406 0.00637489i 0.984241 0.176835i \(-0.0565858\pi\)
−0.985365 + 0.170460i \(0.945475\pi\)
\(272\) −2.22221 + 4.76555i −0.134741 + 0.288954i
\(273\) 7.11387 3.76451i 0.430551 0.227839i
\(274\) 12.7532 7.36307i 0.770450 0.444819i
\(275\) −23.6012 12.7298i −1.42320 0.767638i
\(276\) −11.7527 6.01755i −0.707428 0.362214i
\(277\) −5.05671 + 18.8719i −0.303828 + 1.13390i 0.630122 + 0.776496i \(0.283005\pi\)
−0.933950 + 0.357405i \(0.883662\pi\)
\(278\) −3.74063 + 1.00230i −0.224348 + 0.0601139i
\(279\) −20.2370 19.6977i −1.21156 1.17927i
\(280\) −1.44790 + 2.59383i −0.0865283 + 0.155011i
\(281\) −0.643203 0.113414i −0.0383703 0.00676571i 0.154430 0.988004i \(-0.450646\pi\)
−0.192800 + 0.981238i \(0.561757\pi\)
\(282\) 4.24614 3.30397i 0.252854 0.196748i
\(283\) −0.567199 + 6.48312i −0.0337165 + 0.385381i 0.960523 + 0.278200i \(0.0897379\pi\)
−0.994240 + 0.107181i \(0.965818\pi\)
\(284\) −5.24420 −0.311186
\(285\) −6.77207 15.4641i −0.401143 0.916015i
\(286\) −18.7591 −1.10925
\(287\) 0.531956 6.08028i 0.0314004 0.358908i
\(288\) −2.32396 1.89715i −0.136941 0.111791i
\(289\) −10.4869 1.84913i −0.616877 0.108772i
\(290\) −5.51506 + 1.56366i −0.323855 + 0.0918212i
\(291\) −3.09608 4.78822i −0.181496 0.280690i
\(292\) −12.1157 + 3.24638i −0.709016 + 0.189980i
\(293\) 6.31955 23.5849i 0.369192 1.37784i −0.492456 0.870337i \(-0.663901\pi\)
0.861648 0.507506i \(-0.169433\pi\)
\(294\) −4.13251 + 8.07107i −0.241013 + 0.470714i
\(295\) −33.3102 + 6.37196i −1.93940 + 0.370990i
\(296\) −3.39649 + 1.96096i −0.197417 + 0.113979i
\(297\) −16.5133 + 22.4477i −0.958197 + 1.30255i
\(298\) 5.53658 11.8732i 0.320725 0.687797i
\(299\) 4.63023 + 26.2594i 0.267773 + 1.51862i
\(300\) −4.38947 + 7.46542i −0.253426 + 0.431016i
\(301\) −0.732383 0.266566i −0.0422138 0.0153646i
\(302\) −1.87141 + 21.3904i −0.107688 + 1.23088i
\(303\) −7.53095 + 11.9992i −0.432642 + 0.689339i
\(304\) 4.34187 + 0.384949i 0.249023 + 0.0220783i
\(305\) −10.8897 + 13.3661i −0.623544 + 0.765341i
\(306\) 6.47297 14.3854i 0.370035 0.822357i
\(307\) 8.92235 + 19.1341i 0.509226 + 1.09204i 0.977978 + 0.208708i \(0.0669259\pi\)
−0.468752 + 0.883330i \(0.655296\pi\)
\(308\) −5.83625 + 4.08659i −0.332551 + 0.232855i
\(309\) 2.22535 + 5.27152i 0.126596 + 0.299887i
\(310\) −9.17104 18.9464i −0.520880 1.07608i
\(311\) 24.5864 + 14.1950i 1.39417 + 0.804923i 0.993773 0.111420i \(-0.0355399\pi\)
0.400394 + 0.916343i \(0.368873\pi\)
\(312\) −0.223391 + 6.05431i −0.0126470 + 0.342758i
\(313\) −25.3827 + 2.22070i −1.43472 + 0.125521i −0.777833 0.628471i \(-0.783681\pi\)
−0.656883 + 0.753992i \(0.728126\pi\)
\(314\) 0.0987785 + 0.0828850i 0.00557440 + 0.00467747i
\(315\) 4.23821 7.83942i 0.238796 0.441702i
\(316\) −0.286502 + 0.496236i −0.0161170 + 0.0279154i
\(317\) −4.72325 + 10.1290i −0.265284 + 0.568904i −0.993154 0.116811i \(-0.962733\pi\)
0.727870 + 0.685715i \(0.240511\pi\)
\(318\) 1.28319 3.15803i 0.0719576 0.177094i
\(319\) −13.5400 2.38747i −0.758096 0.133673i
\(320\) −1.14595 1.92011i −0.0640604 0.107337i
\(321\) 6.28901 8.31161i 0.351019 0.463909i
\(322\) 7.16101 + 7.16101i 0.399067 + 0.399067i
\(323\) 3.95378 + 22.5764i 0.219994 + 1.25618i
\(324\) 7.04811 + 5.59680i 0.391562 + 0.310933i
\(325\) 17.3712 2.02797i 0.963581 0.112491i
\(326\) −4.59271 + 12.6184i −0.254367 + 0.698867i
\(327\) −3.13752 2.83627i −0.173505 0.156846i
\(328\) 3.76347 + 2.63521i 0.207803 + 0.145505i
\(329\) −3.87771 + 1.41137i −0.213785 + 0.0778113i
\(330\) −17.2773 + 11.5296i −0.951085 + 0.634684i
\(331\) 12.8597 + 22.2737i 0.706835 + 1.22427i 0.966025 + 0.258448i \(0.0832110\pi\)
−0.259190 + 0.965826i \(0.583456\pi\)
\(332\) −13.3903 + 1.17150i −0.734886 + 0.0642942i
\(333\) 10.1091 6.01995i 0.553975 0.329891i
\(334\) −1.87786 + 1.08418i −0.102752 + 0.0593238i
\(335\) 11.0934 24.7179i 0.606099 1.35048i
\(336\) 1.24940 + 1.93225i 0.0681604 + 0.105413i
\(337\) −2.77873 + 3.96843i −0.151367 + 0.216174i −0.887673 0.460474i \(-0.847679\pi\)
0.736306 + 0.676648i \(0.236568\pi\)
\(338\) −0.626768 + 0.438868i −0.0340917 + 0.0238713i
\(339\) −0.651165 + 5.21811i −0.0353664 + 0.283409i
\(340\) 8.19274 8.43342i 0.444313 0.457366i
\(341\) 50.4855i 2.73394i
\(342\) −13.0400 0.978846i −0.705123 0.0529299i
\(343\) 11.4934 11.4934i 0.620587 0.620587i
\(344\) 0.449418 0.377106i 0.0242310 0.0203322i
\(345\) 20.4038 + 21.3393i 1.09851 + 1.14887i
\(346\) −1.30468 + 7.39922i −0.0701401 + 0.397784i
\(347\) −18.2061 12.7480i −0.977354 0.684350i −0.0283442 0.999598i \(-0.509023\pi\)
−0.949009 + 0.315248i \(0.897912\pi\)
\(348\) −0.931771 + 4.34147i −0.0499482 + 0.232727i
\(349\) 20.1776 + 11.6496i 1.08008 + 0.623587i 0.930919 0.365226i \(-0.119008\pi\)
0.149165 + 0.988812i \(0.452342\pi\)
\(350\) 4.96266 4.41516i 0.265265 0.236000i
\(351\) 0.424845 18.1703i 0.0226766 0.969860i
\(352\) −0.467422 5.34266i −0.0249137 0.284765i
\(353\) −6.17329 + 23.0390i −0.328571 + 1.22624i 0.582102 + 0.813116i \(0.302230\pi\)
−0.910673 + 0.413128i \(0.864436\pi\)
\(354\) −7.73015 + 25.1068i −0.410853 + 1.33441i
\(355\) 11.0761 + 3.85074i 0.587858 + 0.204376i
\(356\) −7.59364 + 1.33896i −0.402462 + 0.0709649i
\(357\) −8.11363 + 8.97540i −0.429419 + 0.475028i
\(358\) −11.0711 + 5.16252i −0.585124 + 0.272848i
\(359\) −16.9445 + 14.2181i −0.894296 + 0.750404i −0.969067 0.246797i \(-0.920622\pi\)
0.0747709 + 0.997201i \(0.476177\pi\)
\(360\) 3.51531 + 5.71337i 0.185273 + 0.301121i
\(361\) 16.4765 9.46173i 0.867185 0.497986i
\(362\) −8.25350 + 8.25350i −0.433794 + 0.433794i
\(363\) −30.4746 + 4.22158i −1.59950 + 0.221575i
\(364\) 1.58930 4.36658i 0.0833022 0.228871i
\(365\) 27.9729 + 2.03978i 1.46417 + 0.106767i
\(366\) 5.19375 + 12.3032i 0.271481 + 0.643098i
\(367\) 16.6067 + 7.74385i 0.866865 + 0.404226i 0.804588 0.593833i \(-0.202386\pi\)
0.0622767 + 0.998059i \(0.480164\pi\)
\(368\) −7.36338 + 1.97301i −0.383843 + 0.102850i
\(369\) −11.3961 7.75244i −0.593259 0.403576i
\(370\) 8.61351 1.64769i 0.447795 0.0856594i
\(371\) −1.68059 + 2.00285i −0.0872518 + 0.103983i
\(372\) −16.2937 0.601202i −0.844787 0.0311708i
\(373\) 3.10888 + 11.6025i 0.160972 + 0.600754i 0.998520 + 0.0543907i \(0.0173216\pi\)
−0.837548 + 0.546364i \(0.816012\pi\)
\(374\) 26.4994 9.64501i 1.37025 0.498731i
\(375\) 14.7526 12.5443i 0.761821 0.647787i
\(376\) 0.539390 3.05904i 0.0278169 0.157758i
\(377\) 8.12699 3.78968i 0.418562 0.195178i
\(378\) −3.82614 5.74561i −0.196795 0.295522i
\(379\) 9.26421i 0.475871i −0.971281 0.237935i \(-0.923529\pi\)
0.971281 0.237935i \(-0.0764706\pi\)
\(380\) −8.88765 4.00121i −0.455927 0.205258i
\(381\) 2.07520 + 9.07036i 0.106316 + 0.464689i
\(382\) 26.0334 + 2.27763i 1.33198 + 0.116533i
\(383\) 3.64878 + 7.82484i 0.186444 + 0.399831i 0.977206 0.212293i \(-0.0680931\pi\)
−0.790762 + 0.612124i \(0.790315\pi\)
\(384\) −1.72985 + 0.0872330i −0.0882762 + 0.00445159i
\(385\) 15.3273 4.34567i 0.781150 0.221476i
\(386\) −4.84349 13.3074i −0.246527 0.677328i
\(387\) −1.33285 + 1.14942i −0.0677527 + 0.0584284i
\(388\) −3.17988 0.852045i −0.161434 0.0432560i
\(389\) 3.42337 + 2.87255i 0.173572 + 0.145644i 0.725435 0.688290i \(-0.241639\pi\)
−0.551863 + 0.833935i \(0.686083\pi\)
\(390\) 4.91741 12.6231i 0.249003 0.639194i
\(391\) −20.0420 34.7137i −1.01357 1.75555i
\(392\) 1.35495 + 5.05675i 0.0684354 + 0.255404i
\(393\) −5.97901 + 27.8584i −0.301601 + 1.40527i
\(394\) −1.76784 + 0.311718i −0.0890625 + 0.0157041i
\(395\) 0.969489 0.837708i 0.0487803 0.0421497i
\(396\) 1.61858 + 16.0076i 0.0813366 + 0.804412i
\(397\) −0.934852 0.0817890i −0.0469189 0.00410487i 0.0636721 0.997971i \(-0.479719\pi\)
−0.110591 + 0.993866i \(0.535274\pi\)
\(398\) −1.88093 1.88093i −0.0942825 0.0942825i
\(399\) 9.28766 + 3.78639i 0.464965 + 0.189557i
\(400\) 1.01041 + 4.89684i 0.0505205 + 0.244842i
\(401\) −4.07946 4.86171i −0.203718 0.242782i 0.654506 0.756057i \(-0.272877\pi\)
−0.858224 + 0.513275i \(0.828432\pi\)
\(402\) −12.8878 16.5629i −0.642783 0.826081i
\(403\) 18.8862 + 26.9723i 0.940788 + 1.34358i
\(404\) 1.42030 + 8.05492i 0.0706626 + 0.400747i
\(405\) −10.7764 16.9961i −0.535485 0.844545i
\(406\) 1.70287 2.94945i 0.0845119 0.146379i
\(407\) 20.3169 + 5.44389i 1.00707 + 0.269843i
\(408\) −2.79726 8.66726i −0.138485 0.429093i
\(409\) −9.11814 + 10.8666i −0.450863 + 0.537318i −0.942820 0.333302i \(-0.891837\pi\)
0.491957 + 0.870619i \(0.336282\pi\)
\(410\) −6.01370 8.32919i −0.296995 0.411350i
\(411\) −7.50550 + 24.3771i −0.370219 + 1.20244i
\(412\) 2.99407 + 1.39616i 0.147507 + 0.0687838i
\(413\) 11.5570 16.5051i 0.568681 0.812161i
\(414\) 22.0082 6.21679i 1.08164 0.305539i
\(415\) 29.1413 + 7.35800i 1.43049 + 0.361190i
\(416\) 2.24837 + 2.67950i 0.110235 + 0.131373i
\(417\) 3.56567 5.68127i 0.174612 0.278213i
\(418\) −15.0057 17.9253i −0.733952 0.876757i
\(419\) 30.5521 1.49257 0.746285 0.665627i \(-0.231836\pi\)
0.746285 + 0.665627i \(0.231836\pi\)
\(420\) −1.21999 4.99846i −0.0595296 0.243900i
\(421\) 2.76749 + 1.00728i 0.134879 + 0.0490920i 0.408578 0.912723i \(-0.366025\pi\)
−0.273699 + 0.961816i \(0.588247\pi\)
\(422\) −1.48943 2.12713i −0.0725043 0.103547i
\(423\) −1.49410 + 9.19812i −0.0726456 + 0.447228i
\(424\) −0.673115 1.84937i −0.0326894 0.0898133i
\(425\) −23.4961 + 11.7961i −1.13973 + 0.572197i
\(426\) 6.65527 6.18161i 0.322449 0.299500i
\(427\) −0.892730 10.2039i −0.0432022 0.493804i
\(428\) −0.524468 5.99470i −0.0253511 0.289765i
\(429\) 23.8067 22.1124i 1.14940 1.06760i
\(430\) −1.22610 + 0.466473i −0.0591280 + 0.0224953i
\(431\) 5.28621 + 14.5237i 0.254628 + 0.699584i 0.999477 + 0.0323505i \(0.0102993\pi\)
−0.744849 + 0.667233i \(0.767479\pi\)
\(432\) 5.18555 0.331754i 0.249490 0.0159615i
\(433\) 7.60051 + 10.8547i 0.365257 + 0.521642i 0.959148 0.282904i \(-0.0912978\pi\)
−0.593891 + 0.804546i \(0.702409\pi\)
\(434\) 11.7516 + 4.27722i 0.564093 + 0.205313i
\(435\) 5.15584 8.48528i 0.247204 0.406838i
\(436\) −2.44189 −0.116945
\(437\) −21.3884 + 25.4296i −1.02315 + 1.21646i
\(438\) 11.5490 18.4013i 0.551831 0.879247i
\(439\) −17.5128 20.8709i −0.835839 0.996115i −0.999953 0.00967317i \(-0.996921\pi\)
0.164114 0.986441i \(-0.447524\pi\)
\(440\) −2.93581 + 11.6273i −0.139959 + 0.554309i
\(441\) −4.26934 15.1140i −0.203302 0.719713i
\(442\) −10.5494 + 15.0661i −0.501784 + 0.716622i
\(443\) −19.2043 8.95509i −0.912422 0.425469i −0.0910394 0.995847i \(-0.529019\pi\)
−0.821382 + 0.570378i \(0.806797\pi\)
\(444\) 1.99890 6.49222i 0.0948634 0.308107i
\(445\) 17.0215 + 2.74792i 0.806894 + 0.130264i
\(446\) 17.4094 20.7477i 0.824357 0.982430i
\(447\) 6.96928 + 21.5942i 0.329636 + 1.02137i
\(448\) 1.28322 + 0.343837i 0.0606263 + 0.0162448i
\(449\) 10.1864 17.6434i 0.480727 0.832643i −0.519029 0.854757i \(-0.673706\pi\)
0.999755 + 0.0221135i \(0.00703953\pi\)
\(450\) −3.22933 14.6483i −0.152232 0.690525i
\(451\) −4.27866 24.2655i −0.201474 1.14262i
\(452\) 1.74140 + 2.48698i 0.0819087 + 0.116978i
\(453\) −22.8390 29.3518i −1.07307 1.37907i
\(454\) 9.57489 + 11.4109i 0.449372 + 0.535540i
\(455\) −6.56303 + 8.05550i −0.307680 + 0.377648i
\(456\) −5.96390 + 4.62946i −0.279285 + 0.216794i
\(457\) 18.6994 + 18.6994i 0.874723 + 0.874723i 0.992983 0.118260i \(-0.0377316\pi\)
−0.118260 + 0.992983i \(0.537732\pi\)
\(458\) −6.13582 0.536815i −0.286708 0.0250837i
\(459\) 8.74212 + 25.8861i 0.408047 + 1.20826i
\(460\) 17.0007 + 1.23969i 0.792661 + 0.0578009i
\(461\) −1.99173 + 0.351195i −0.0927639 + 0.0163568i −0.219837 0.975537i \(-0.570553\pi\)
0.127074 + 0.991893i \(0.459442\pi\)
\(462\) 2.58955 12.0657i 0.120477 0.561346i
\(463\) −1.67368 6.24627i −0.0777827 0.290289i 0.916067 0.401025i \(-0.131346\pi\)
−0.993850 + 0.110736i \(0.964679\pi\)
\(464\) 1.28181 + 2.22017i 0.0595067 + 0.103069i
\(465\) 33.9718 + 13.2340i 1.57541 + 0.613711i
\(466\) −21.3931 17.9509i −0.991016 0.831561i
\(467\) −17.6589 4.73170i −0.817158 0.218957i −0.174054 0.984736i \(-0.555687\pi\)
−0.643104 + 0.765779i \(0.722354\pi\)
\(468\) −6.85303 7.94668i −0.316782 0.367335i
\(469\) 5.50531 + 15.1257i 0.254212 + 0.698441i
\(470\) −3.38543 + 6.06482i −0.156158 + 0.279749i
\(471\) −0.223058 + 0.0112484i −0.0102780 + 0.000518297i
\(472\) 6.40981 + 13.7459i 0.295035 + 0.632705i
\(473\) −3.13440 0.274224i −0.144120 0.0126088i
\(474\) −0.221347 0.967473i −0.0101668 0.0444375i
\(475\) 15.8333 + 14.9769i 0.726481 + 0.687187i
\(476\) 6.98543i 0.320177i
\(477\) 2.09408 + 5.52033i 0.0958814 + 0.252759i
\(478\) −10.4903 + 4.89170i −0.479814 + 0.223741i
\(479\) 2.79023 15.8242i 0.127489 0.723025i −0.852310 0.523037i \(-0.824799\pi\)
0.979798 0.199987i \(-0.0640901\pi\)
\(480\) 3.71762 + 1.08596i 0.169685 + 0.0495673i
\(481\) −12.8909 + 4.69192i −0.587776 + 0.213933i
\(482\) −0.259088 0.966930i −0.0118011 0.0440424i
\(483\) −17.5289 0.646779i −0.797592 0.0294295i
\(484\) −11.4175 + 13.6069i −0.518979 + 0.618495i
\(485\) 6.09047 + 4.13451i 0.276554 + 0.187739i
\(486\) −15.5418 + 1.20524i −0.704990 + 0.0546709i
\(487\) 6.43626 1.72459i 0.291655 0.0781487i −0.110025 0.993929i \(-0.535093\pi\)
0.401680 + 0.915780i \(0.368426\pi\)
\(488\) 6.98785 + 3.25849i 0.316325 + 0.147505i
\(489\) −9.04545 21.4273i −0.409050 0.968975i
\(490\) 0.851350 11.6751i 0.0384601 0.527428i
\(491\) −13.9132 + 38.2263i −0.627895 + 1.72513i 0.0588875 + 0.998265i \(0.481245\pi\)
−0.686783 + 0.726863i \(0.740978\pi\)
\(492\) −7.88237 + 1.09193i −0.355365 + 0.0492279i
\(493\) −9.53185 + 9.53185i −0.429293 + 0.429293i
\(494\) 14.7226 + 3.96325i 0.662401 + 0.178315i
\(495\) 8.33560 34.9976i 0.374657 1.57302i
\(496\) −7.21120 + 6.05091i −0.323792 + 0.271694i
\(497\) −6.31409 + 2.94431i −0.283226 + 0.132070i
\(498\) 15.6123 17.2705i 0.699604 0.773910i
\(499\) 28.7195 5.06402i 1.28566 0.226697i 0.511279 0.859415i \(-0.329172\pi\)
0.774382 + 0.632718i \(0.218061\pi\)
\(500\) 1.46163 11.0844i 0.0653660 0.495709i
\(501\) 1.10515 3.58943i 0.0493747 0.160364i
\(502\) −5.37859 + 20.0732i −0.240058 + 0.895910i
\(503\) 0.433445 + 4.95430i 0.0193264 + 0.220901i 0.999716 + 0.0238323i \(0.00758677\pi\)
−0.980390 + 0.197069i \(0.936858\pi\)
\(504\) −3.86323 0.979431i −0.172082 0.0436273i
\(505\) 2.91485 18.0554i 0.129709 0.803456i
\(506\) 35.4060 + 20.4417i 1.57399 + 0.908744i
\(507\) 0.278097 1.29576i 0.0123507 0.0575467i
\(508\) 4.40056 + 3.08130i 0.195243 + 0.136711i
\(509\) 2.14239 12.1501i 0.0949598 0.538544i −0.899800 0.436303i \(-0.856288\pi\)
0.994760 0.102241i \(-0.0326012\pi\)
\(510\) −0.456257 + 20.3598i −0.0202034 + 0.901548i
\(511\) −12.7648 + 10.7109i −0.564681 + 0.473824i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 17.7025 14.1287i 0.781586 0.623798i
\(514\) 4.49418i 0.198230i
\(515\) −5.29850 5.14728i −0.233480 0.226816i
\(516\) −0.125829 + 1.00833i −0.00553929 + 0.0443891i
\(517\) −13.6462 + 9.55516i −0.600158 + 0.420235i
\(518\) −2.98845 + 4.26795i −0.131305 + 0.187523i
\(519\) −7.06611 10.9280i −0.310168 0.479688i
\(520\) −2.78118 7.31022i −0.121963 0.320574i
\(521\) 1.73288 1.00048i 0.0759189 0.0438318i −0.461560 0.887109i \(-0.652710\pi\)
0.537479 + 0.843277i \(0.319377\pi\)
\(522\) −3.93503 6.60796i −0.172232 0.289223i
\(523\) −2.98972 + 0.261567i −0.130731 + 0.0114375i −0.152334 0.988329i \(-0.548679\pi\)
0.0216022 + 0.999767i \(0.493123\pi\)
\(524\) 8.22517 + 14.2464i 0.359318 + 0.622357i
\(525\) −1.09359 + 11.4529i −0.0477282 + 0.499846i
\(526\) −3.94835 + 1.43708i −0.172156 + 0.0626598i
\(527\) −40.5467 28.3911i −1.76624 1.23674i
\(528\) 6.89087 + 6.22925i 0.299887 + 0.271093i
\(529\) 12.0090 32.9946i 0.522132 1.43455i
\(530\) 0.0636990 + 4.40025i 0.00276691 + 0.191135i
\(531\) −19.7845 40.9742i −0.858576 1.77813i
\(532\) 5.44380 1.97422i 0.236019 0.0855933i
\(533\) 11.3634 + 11.3634i 0.492203 + 0.492203i
\(534\) 8.05857 10.6503i 0.348728 0.460882i
\(535\) −3.29411 + 13.0463i −0.142417 + 0.564041i
\(536\) −11.9323 2.10399i −0.515399 0.0908787i
\(537\) 7.96464 19.6017i 0.343700 0.845874i
\(538\) 3.54157 7.59492i 0.152688 0.327440i
\(539\) 14.0382 24.3149i 0.604668 1.04732i
\(540\) −11.1958 3.10699i −0.481792 0.133704i
\(541\) −14.4373 12.1144i −0.620710 0.520837i 0.277317 0.960779i \(-0.410555\pi\)
−0.898027 + 0.439941i \(0.854999\pi\)
\(542\) 0.106157 0.00928756i 0.00455985 0.000398935i
\(543\) 0.745452 20.2031i 0.0319904 0.866999i
\(544\) −4.55374 2.62910i −0.195240 0.112722i
\(545\) 5.15744 + 1.79305i 0.220920 + 0.0768056i
\(546\) 3.13017 + 7.41490i 0.133959 + 0.317328i
\(547\) 14.8732 10.4144i 0.635934 0.445286i −0.210635 0.977565i \(-0.567553\pi\)
0.846569 + 0.532279i \(0.178664\pi\)
\(548\) 6.22354 + 13.3464i 0.265856 + 0.570131i
\(549\) −21.0936 9.49149i −0.900255 0.405087i
\(550\) 14.7384 22.4019i 0.628447 0.955219i
\(551\) 10.1221 + 4.73435i 0.431217 + 0.201690i
\(552\) 7.01896 11.1835i 0.298747 0.476001i
\(553\) −0.0663452 + 0.758329i −0.00282128 + 0.0322474i
\(554\) −18.3593 6.68226i −0.780014 0.283902i
\(555\) −8.98894 + 12.2442i −0.381559 + 0.519739i
\(556\) −0.672468 3.81376i −0.0285190 0.161739i
\(557\) 10.6482 22.8352i 0.451179 0.967557i −0.540799 0.841152i \(-0.681878\pi\)
0.991979 0.126405i \(-0.0403440\pi\)
\(558\) 21.3865 18.4432i 0.905362 0.780764i
\(559\) 1.77716 1.02604i 0.0751658 0.0433970i
\(560\) −2.45776 1.66845i −0.103859 0.0705050i
\(561\) −22.2606 + 43.4765i −0.939844 + 1.83558i
\(562\) 0.169041 0.630870i 0.00713057 0.0266117i
\(563\) 14.4554 3.87331i 0.609222 0.163241i 0.0589989 0.998258i \(-0.481209\pi\)
0.550224 + 0.835017i \(0.314542\pi\)
\(564\) 2.92132 + 4.51794i 0.123010 + 0.190240i
\(565\) −1.85180 6.53136i −0.0779060 0.274776i
\(566\) −6.40901 1.13008i −0.269391 0.0475009i
\(567\) 11.6283 + 2.78152i 0.488343 + 0.116813i
\(568\) 0.457062 5.22424i 0.0191779 0.219204i
\(569\) 19.4507 0.815414 0.407707 0.913113i \(-0.366328\pi\)
0.407707 + 0.913113i \(0.366328\pi\)
\(570\) 15.9955 5.39852i 0.669978 0.226119i
\(571\) 21.2385 0.888803 0.444401 0.895828i \(-0.353416\pi\)
0.444401 + 0.895828i \(0.353416\pi\)
\(572\) 1.63497 18.6878i 0.0683614 0.781374i
\(573\) −35.7230 + 27.7964i −1.49235 + 1.16121i
\(574\) 6.01078 + 1.05986i 0.250885 + 0.0442378i
\(575\) −34.9963 15.1017i −1.45945 0.629783i
\(576\) 2.09248 2.14977i 0.0871867 0.0895739i
\(577\) −19.3178 + 5.17619i −0.804210 + 0.215487i −0.637432 0.770507i \(-0.720003\pi\)
−0.166779 + 0.985994i \(0.553337\pi\)
\(578\) 2.75608 10.2858i 0.114638 0.427835i
\(579\) 21.8328 + 11.1787i 0.907342 + 0.464573i
\(580\) −1.07704 5.63036i −0.0447216 0.233788i
\(581\) −15.4643 + 8.92834i −0.641569 + 0.370410i
\(582\) 5.03984 2.66698i 0.208908 0.110550i
\(583\) −4.46066 + 9.56593i −0.184742 + 0.396180i
\(584\) −2.17808 12.3525i −0.0901296 0.511150i
\(585\) 8.63893 + 21.8160i 0.357176 + 0.901980i
\(586\) 22.9444 + 8.35106i 0.947822 + 0.344979i
\(587\) 0.743185 8.49465i 0.0306745 0.350612i −0.965311 0.261101i \(-0.915914\pi\)
0.995986 0.0895102i \(-0.0285302\pi\)
\(588\) −7.68019 4.82023i −0.316726 0.198783i
\(589\) −10.6661 + 39.6222i −0.439489 + 1.63260i
\(590\) −3.44454 33.7388i −0.141809 1.38901i
\(591\) 1.87608 2.47944i 0.0771716 0.101990i
\(592\) −1.65748 3.55447i −0.0681219 0.146088i
\(593\) 3.29616 2.30799i 0.135357 0.0947779i −0.503937 0.863740i \(-0.668116\pi\)
0.639294 + 0.768963i \(0.279227\pi\)
\(594\) −20.9231 18.4069i −0.858484 0.755243i
\(595\) 5.12930 14.7537i 0.210281 0.604843i
\(596\) 11.3455 + 6.55033i 0.464730 + 0.268312i
\(597\) 4.60419 + 0.169885i 0.188437 + 0.00695292i
\(598\) −26.5630 + 2.32396i −1.08624 + 0.0950338i
\(599\) 3.86227 + 3.24083i 0.157808 + 0.132417i 0.718273 0.695762i \(-0.244933\pi\)
−0.560465 + 0.828178i \(0.689377\pi\)
\(600\) −7.05445 5.02342i −0.287997 0.205080i
\(601\) 1.91160 3.31099i 0.0779759 0.135058i −0.824401 0.566007i \(-0.808488\pi\)
0.902377 + 0.430948i \(0.141821\pi\)
\(602\) 0.329383 0.706363i 0.0134246 0.0287892i
\(603\) 35.8790 + 5.82801i 1.46111 + 0.237335i
\(604\) −21.1459 3.72859i −0.860413 0.151714i
\(605\) 34.1059 20.3549i 1.38660 0.827545i
\(606\) −11.2972 8.54809i −0.458918 0.347242i
\(607\) 2.84202 + 2.84202i 0.115354 + 0.115354i 0.762428 0.647074i \(-0.224007\pi\)
−0.647074 + 0.762428i \(0.724007\pi\)
\(608\) −0.761902 + 4.29180i −0.0308992 + 0.174055i
\(609\) 1.31561 + 5.75033i 0.0533113 + 0.233015i
\(610\) −12.3661 12.0132i −0.500690 0.486401i
\(611\) 3.71607 10.2098i 0.150336 0.413045i
\(612\) 13.7665 + 7.70211i 0.556477 + 0.311339i
\(613\) 5.51236 + 3.85979i 0.222642 + 0.155896i 0.679576 0.733605i \(-0.262164\pi\)
−0.456934 + 0.889500i \(0.651053\pi\)
\(614\) −19.8389 + 7.22076i −0.800632 + 0.291406i
\(615\) 17.4499 + 3.48169i 0.703647 + 0.140395i
\(616\) −3.56237 6.17021i −0.143532 0.248605i
\(617\) 6.14646 0.537745i 0.247447 0.0216488i 0.0372425 0.999306i \(-0.488143\pi\)
0.210204 + 0.977657i \(0.432587\pi\)
\(618\) −5.44542 + 1.75744i −0.219047 + 0.0706947i
\(619\) −13.5446 + 7.81999i −0.544404 + 0.314312i −0.746862 0.664979i \(-0.768440\pi\)
0.202458 + 0.979291i \(0.435107\pi\)
\(620\) 19.6736 7.48485i 0.790112 0.300599i
\(621\) −20.6019 + 33.8318i −0.826726 + 1.35762i
\(622\) −16.2838 + 23.2557i −0.652921 + 0.932468i
\(623\) −8.39110 + 5.87551i −0.336182 + 0.235397i
\(624\) −6.01180 0.750209i −0.240665 0.0300324i
\(625\) −11.2262 + 22.3377i −0.449047 + 0.893508i
\(626\) 25.4797i 1.01837i
\(627\) 40.1728 + 5.06055i 1.60435 + 0.202099i
\(628\) −0.0911788 + 0.0911788i −0.00363843 + 0.00363843i
\(629\) 15.7976 13.2557i 0.629891 0.528541i
\(630\) 7.44021 + 4.90534i 0.296425 + 0.195433i
\(631\) −1.33425 + 7.56690i −0.0531156 + 0.301234i −0.999780 0.0209884i \(-0.993319\pi\)
0.946664 + 0.322222i \(0.104430\pi\)
\(632\) −0.469377 0.328661i −0.0186708 0.0130734i
\(633\) 4.39755 + 0.943807i 0.174787 + 0.0375130i
\(634\) −9.67885 5.58808i −0.384396 0.221931i
\(635\) −7.03171 9.73918i −0.279045 0.386488i
\(636\) 3.03418 + 1.55355i 0.120313 + 0.0616021i
\(637\) 1.59596 + 18.2420i 0.0632344 + 0.722773i
\(638\) 3.55848 13.2804i 0.140882 0.525777i
\(639\) −1.15942 + 15.6898i −0.0458660 + 0.620680i
\(640\) 2.01267 0.974238i 0.0795580 0.0385101i
\(641\) 26.2425 4.62726i 1.03652 0.182766i 0.370600 0.928792i \(-0.379152\pi\)
0.665916 + 0.746027i \(0.268041\pi\)
\(642\) 7.73185 + 6.98949i 0.305152 + 0.275853i
\(643\) −1.71344 + 0.798990i −0.0675715 + 0.0315091i −0.456110 0.889923i \(-0.650758\pi\)
0.388539 + 0.921432i \(0.372980\pi\)
\(644\) −7.75788 + 6.50964i −0.305703 + 0.256516i
\(645\) 1.00616 2.03726i 0.0396175 0.0802170i
\(646\) −22.8351 + 1.97107i −0.898433 + 0.0775509i
\(647\) −25.1858 + 25.1858i −0.990157 + 0.990157i −0.999952 0.00979501i \(-0.996882\pi\)
0.00979501 + 0.999952i \(0.496882\pi\)
\(648\) −6.18978 + 6.53350i −0.243158 + 0.256660i
\(649\) 27.8203 76.4357i 1.09204 3.00036i
\(650\) 0.506249 + 17.4819i 0.0198567 + 0.685695i
\(651\) −19.9553 + 8.42408i −0.782111 + 0.330166i
\(652\) −12.1701 5.67500i −0.476617 0.222250i
\(653\) 10.4769 2.80727i 0.409992 0.109857i −0.0479273 0.998851i \(-0.515262\pi\)
0.457919 + 0.888994i \(0.348595\pi\)
\(654\) 3.09894 2.87838i 0.121178 0.112554i
\(655\) −6.91117 36.1290i −0.270042 1.41168i
\(656\) −2.95319 + 3.51947i −0.115303 + 0.137412i
\(657\) 7.03406 + 36.9659i 0.274425 + 1.44218i
\(658\) −1.06803 3.98596i −0.0416363 0.155389i
\(659\) −4.15751 + 1.51321i −0.161954 + 0.0589463i −0.421725 0.906724i \(-0.638575\pi\)
0.259771 + 0.965670i \(0.416353\pi\)
\(660\) −9.97992 18.2164i −0.388468 0.709074i
\(661\) 1.45703 8.26320i 0.0566717 0.321401i −0.943272 0.332021i \(-0.892269\pi\)
0.999944 + 0.0106200i \(0.00338051\pi\)
\(662\) −23.3098 + 10.8695i −0.905959 + 0.422456i
\(663\) −4.37126 31.5551i −0.169766 1.22550i
\(664\) 13.4414i 0.521628i
\(665\) −12.9473 + 0.172381i −0.502075 + 0.00668463i
\(666\) 5.11597 + 10.5953i 0.198240 + 0.410559i
\(667\) −19.4685 1.70327i −0.753823 0.0659510i
\(668\) −0.916390 1.96520i −0.0354562 0.0760360i
\(669\) 2.36263 + 46.8516i 0.0913446 + 1.81139i
\(670\) 23.6570 + 13.2055i 0.913949 + 0.510174i
\(671\) −14.1427 38.8568i −0.545974 1.50005i
\(672\) −2.03379 + 1.07624i −0.0784552 + 0.0415169i
\(673\) 3.41229 + 0.914320i 0.131534 + 0.0352445i 0.323985 0.946062i \(-0.394977\pi\)
−0.192451 + 0.981307i \(0.561644\pi\)
\(674\) −3.71115 3.11403i −0.142948 0.119948i
\(675\) 21.3649 + 14.7831i 0.822336 + 0.569002i
\(676\) −0.382571 0.662633i −0.0147143 0.0254859i
\(677\) −7.01459 26.1788i −0.269593 1.00613i −0.959379 0.282120i \(-0.908962\pi\)
0.689786 0.724013i \(-0.257704\pi\)
\(678\) −5.14150 1.10347i −0.197458 0.0423787i
\(679\) −4.30699 + 0.759439i −0.165287 + 0.0291446i
\(680\) 7.68728 + 8.89658i 0.294794 + 0.341168i
\(681\) −25.6019 3.19484i −0.981065 0.122427i
\(682\) 50.2934 + 4.40010i 1.92583 + 0.168489i
\(683\) 7.49846 + 7.49846i 0.286921 + 0.286921i 0.835861 0.548941i \(-0.184969\pi\)
−0.548941 + 0.835861i \(0.684969\pi\)
\(684\) 2.11163 12.9051i 0.0807403 0.493438i
\(685\) −3.34444 32.7584i −0.127784 1.25163i
\(686\) 10.4480 + 12.4514i 0.398906 + 0.475397i
\(687\) 8.41957 6.55136i 0.321227 0.249950i
\(688\) 0.336502 + 0.480575i 0.0128290 + 0.0183217i
\(689\) −1.19538 6.77936i −0.0455405 0.258273i
\(690\) −23.0364 + 18.4663i −0.876980 + 0.703002i
\(691\) −13.9113 + 24.0952i −0.529212 + 0.916623i 0.470207 + 0.882556i \(0.344179\pi\)
−0.999420 + 0.0340667i \(0.989154\pi\)
\(692\) −7.25735 1.94460i −0.275883 0.0739227i
\(693\) 10.9361 + 18.3646i 0.415429 + 0.697615i
\(694\) 14.2863 17.0257i 0.542300 0.646288i
\(695\) −1.38009 + 8.54869i −0.0523498 + 0.324270i
\(696\) −4.24374 1.30661i −0.160859 0.0495269i
\(697\) −21.8946 10.2096i −0.829316 0.386717i
\(698\) −13.3638 + 19.0855i −0.505828 + 0.722398i
\(699\) 48.3091 2.43613i 1.82722 0.0921429i
\(700\) 3.96584 + 5.32858i 0.149895 + 0.201402i
\(701\) −1.82151 2.17079i −0.0687974 0.0819895i 0.730548 0.682861i \(-0.239265\pi\)
−0.799345 + 0.600872i \(0.794820\pi\)
\(702\) 18.0642 + 2.00688i 0.681787 + 0.0757447i
\(703\) −14.7950 8.56483i −0.558004 0.323029i
\(704\) 5.36307 0.202128
\(705\) −2.85256 11.6873i −0.107434 0.440168i
\(706\) −22.4133 8.15778i −0.843536 0.307022i
\(707\) 6.23243 + 8.90083i 0.234395 + 0.334750i
\(708\) −24.3375 9.88893i −0.914659 0.371649i
\(709\) 13.7840 + 37.8711i 0.517668 + 1.42228i 0.873083 + 0.487572i \(0.162117\pi\)
−0.355416 + 0.934708i \(0.615661\pi\)
\(710\) −4.80143 + 10.6983i −0.180195 + 0.401501i
\(711\) 1.42132 + 0.966879i 0.0533035 + 0.0362608i
\(712\) −0.672039 7.68144i −0.0251857 0.287874i
\(713\) −6.25436 71.4876i −0.234227 2.67723i
\(714\) −8.23409 8.86502i −0.308153 0.331765i
\(715\) −17.1753 + 38.2693i −0.642320 + 1.43119i
\(716\) −4.17797 11.4789i −0.156138 0.428986i
\(717\) 7.54681 18.5733i 0.281841 0.693634i
\(718\) −12.6872 18.1192i −0.473482 0.676203i
\(719\) 8.02032 + 2.91916i 0.299107 + 0.108866i 0.487214 0.873282i \(-0.338013\pi\)
−0.188107 + 0.982149i \(0.560235\pi\)
\(720\) −5.99801 + 3.00398i −0.223533 + 0.111952i
\(721\) 4.38877 0.163446
\(722\) 7.98971 + 17.2385i 0.297346 + 0.641549i
\(723\) 1.46857 + 0.921703i 0.0546168 + 0.0342785i
\(724\) −7.50276 8.94144i −0.278838 0.332306i
\(725\) −1.85951 + 12.6825i −0.0690605 + 0.471018i
\(726\) −1.54948 30.7266i −0.0575065 1.14037i
\(727\) 16.8770 24.1028i 0.625933 0.893925i −0.373499 0.927631i \(-0.621842\pi\)
0.999432 + 0.0337057i \(0.0107309\pi\)
\(728\) 4.21145 + 1.96383i 0.156087 + 0.0727844i
\(729\) 18.3030 19.8495i 0.677888 0.735165i
\(730\) −4.47002 + 27.6887i −0.165443 + 1.02480i
\(731\) −1.98290 + 2.36313i −0.0733403 + 0.0874035i
\(732\) −12.7090 + 4.10169i −0.469739 + 0.151603i
\(733\) 20.4915 + 5.49067i 0.756869 + 0.202802i 0.616563 0.787306i \(-0.288525\pi\)
0.140306 + 0.990108i \(0.455191\pi\)
\(734\) −9.16176 + 15.8686i −0.338167 + 0.585722i
\(735\) 12.6816 + 15.8201i 0.467769 + 0.583533i
\(736\) −1.32374 7.50732i −0.0487938 0.276723i
\(737\) 37.2717 + 53.2295i 1.37292 + 1.96073i
\(738\) 8.71618 10.6771i 0.320847 0.393029i
\(739\) 20.8102 + 24.8006i 0.765515 + 0.912306i 0.998183 0.0602505i \(-0.0191900\pi\)
−0.232668 + 0.972556i \(0.574746\pi\)
\(740\) 0.890704 + 8.72434i 0.0327429 + 0.320713i
\(741\) −23.3557 + 12.3246i −0.857994 + 0.452757i
\(742\) −1.84875 1.84875i −0.0678698 0.0678698i
\(743\) −35.2898 3.08746i −1.29466 0.113268i −0.581081 0.813846i \(-0.697370\pi\)
−0.713576 + 0.700578i \(0.752926\pi\)
\(744\) 2.01900 16.1793i 0.0740201 0.593160i
\(745\) −19.1526 22.1656i −0.701698 0.812083i
\(746\) −11.8293 + 2.08582i −0.433101 + 0.0763674i
\(747\) 0.544528 + 40.3205i 0.0199232 + 1.47525i
\(748\) 7.29873 + 27.2392i 0.266868 + 0.995964i
\(749\) −3.99714 6.92325i −0.146052 0.252970i
\(750\) 11.2108 + 15.7898i 0.409362 + 0.576561i
\(751\) 26.9627 + 22.6244i 0.983884 + 0.825576i 0.984671 0.174423i \(-0.0558061\pi\)
−0.000787037 1.00000i \(0.500251\pi\)
\(752\) 3.00038 + 0.803950i 0.109413 + 0.0293171i
\(753\) −16.8355 31.8143i −0.613519 1.15938i
\(754\) 3.06694 + 8.42636i 0.111692 + 0.306870i
\(755\) 41.9236 + 23.4021i 1.52576 + 0.851691i
\(756\) 6.05722 3.31082i 0.220299 0.120413i
\(757\) −4.60745 9.88071i −0.167461 0.359120i 0.804612 0.593801i \(-0.202373\pi\)
−0.972073 + 0.234681i \(0.924596\pi\)
\(758\) 9.22896 + 0.807429i 0.335211 + 0.0293272i
\(759\) −69.0285 + 15.7930i −2.50558 + 0.573249i
\(760\) 4.76059 8.50510i 0.172685 0.308512i
\(761\) 44.9557i 1.62964i −0.579713 0.814821i \(-0.696835\pi\)
0.579713 0.814821i \(-0.303165\pi\)
\(762\) −9.21671 + 1.27677i −0.333886 + 0.0462525i
\(763\) −2.94007 + 1.37098i −0.106438 + 0.0496327i
\(764\) −4.53792 + 25.7358i −0.164176 + 0.931089i
\(765\) −23.4202 26.3759i −0.846758 0.953622i
\(766\) −8.11308 + 2.95292i −0.293138 + 0.106693i
\(767\) 13.7307 + 51.2436i 0.495787 + 1.85030i
\(768\) 0.0638656 1.73087i 0.00230455 0.0624575i
\(769\) 3.37191 4.01849i 0.121594 0.144910i −0.701813 0.712361i \(-0.747626\pi\)
0.823407 + 0.567451i \(0.192070\pi\)
\(770\) 2.99327 + 15.6477i 0.107870 + 0.563904i
\(771\) −5.29752 5.70343i −0.190786 0.205404i
\(772\) 13.6789 3.66524i 0.492314 0.131915i
\(773\) 19.3703 + 9.03251i 0.696700 + 0.324877i 0.738504 0.674249i \(-0.235533\pi\)
−0