Properties

Label 605.2.s.b.16.20
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.20
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.20

$q$-expansion

\(f(q)\) \(=\) \(q+(2.28990 + 0.262741i) q^{2} +(1.65951 + 1.20570i) q^{3} +(3.22657 + 0.750306i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(3.48331 + 3.19696i) q^{6} +(-1.38442 - 1.42453i) q^{7} +(2.84961 + 1.01674i) q^{8} +(0.373196 + 1.14858i) q^{9} +O(q^{10})\) \(q+(2.28990 + 0.262741i) q^{2} +(1.65951 + 1.20570i) q^{3} +(3.22657 + 0.750306i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(3.48331 + 3.19696i) q^{6} +(-1.38442 - 1.42453i) q^{7} +(2.84961 + 1.01674i) q^{8} +(0.373196 + 1.14858i) q^{9} +(-1.50940 + 1.74194i) q^{10} +(1.27706 + 3.06090i) q^{11} +(4.44987 + 5.13542i) q^{12} +(0.362552 - 0.601225i) q^{13} +(-2.79589 - 3.62578i) q^{14} +(-1.93197 + 0.689326i) q^{15} +(0.312632 + 0.153711i) q^{16} +(-3.78371 + 3.09393i) q^{17} +(0.552801 + 2.72818i) q^{18} +(6.59430 + 0.377076i) q^{19} +(-2.44057 + 2.23993i) q^{20} +(-0.579890 - 4.03323i) q^{21} +(2.12011 + 7.34468i) q^{22} +(1.25178 - 8.70635i) q^{23} +(3.50307 + 5.12307i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.988173 - 1.28149i) q^{26} +(1.13610 - 3.49657i) q^{27} +(-3.39809 - 5.63509i) q^{28} +(1.36174 - 3.49761i) q^{29} +(-4.60513 + 1.07088i) q^{30} +(-6.33506 - 2.67722i) q^{31} +(-4.41503 - 2.83737i) q^{32} +(-1.57124 + 6.61935i) q^{33} +(-9.47721 + 6.09063i) q^{34} +(1.95734 - 0.338731i) q^{35} +(0.342356 + 3.98598i) q^{36} +(-0.532051 + 6.19456i) q^{37} +(15.0012 + 2.59606i) q^{38} +(1.32656 - 0.560608i) q^{39} +(-2.44773 + 1.77838i) q^{40} +(4.81112 - 2.71696i) q^{41} +(-0.268194 - 9.38803i) q^{42} +(-8.40539 + 2.46804i) q^{43} +(1.82391 + 10.8344i) q^{44} +(-1.15877 - 0.340245i) q^{45} +(5.15397 - 19.6077i) q^{46} +(-0.497648 + 2.45599i) q^{47} +(0.333486 + 0.632026i) q^{48} +(0.0872125 - 3.05284i) q^{49} +(-0.585953 - 2.22920i) q^{50} +(-10.0095 + 0.572362i) q^{51} +(1.62090 - 1.66787i) q^{52} +(-7.36226 + 3.61978i) q^{53} +(3.52025 - 7.70827i) q^{54} +(-3.24752 - 0.673526i) q^{55} +(-2.49668 - 5.46697i) q^{56} +(10.4887 + 8.57653i) q^{57} +(4.03722 - 7.65138i) q^{58} +(5.17594 + 2.92298i) q^{59} +(-6.75084 + 0.774587i) q^{60} +(-9.89071 + 1.13485i) q^{61} +(-13.8032 - 7.79504i) q^{62} +(1.11953 - 2.12175i) q^{63} +(-9.90385 - 8.09833i) q^{64} +(0.291654 + 0.638634i) q^{65} +(-5.33716 + 14.7448i) q^{66} +(2.92979 - 6.41535i) q^{67} +(-14.5298 + 7.14382i) q^{68} +(12.5746 - 12.9390i) q^{69} +(4.57110 - 0.261385i) q^{70} +(2.81513 + 10.7099i) q^{71} +(-0.104342 + 3.65245i) q^{72} +(-1.29754 - 2.45912i) q^{73} +(-2.84591 + 14.0451i) q^{74} +(0.521469 - 1.98387i) q^{75} +(20.9940 + 6.16440i) q^{76} +(2.59237 - 6.05679i) q^{77} +(3.18497 - 0.935192i) q^{78} +(0.184174 + 6.44692i) q^{79} +(-0.303347 + 0.171308i) q^{80} +(9.03231 - 6.56236i) q^{81} +(11.7308 - 4.95748i) q^{82} +(4.16653 + 0.721047i) q^{83} +(1.15510 - 13.4486i) q^{84} +(-0.418258 - 4.86969i) q^{85} +(-19.8959 + 3.44312i) q^{86} +(6.47691 - 4.16246i) q^{87} +(0.526992 + 10.0208i) q^{88} +(12.0832 + 7.76539i) q^{89} +(-2.56406 - 1.08358i) q^{90} +(-1.35839 + 0.315880i) q^{91} +(10.5714 - 27.1524i) q^{92} +(-7.28516 - 12.0811i) q^{93} +(-1.78485 + 5.49321i) q^{94} +(-4.03338 + 5.23057i) q^{95} +(-3.90575 - 10.0318i) q^{96} +(6.78052 + 9.91620i) q^{97} +(1.00181 - 6.96776i) q^{98} +(-3.03909 + 2.60912i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.28990 + 0.262741i 1.61920 + 0.185786i 0.875668 0.482913i \(-0.160421\pi\)
0.743533 + 0.668699i \(0.233149\pi\)
\(3\) 1.65951 + 1.20570i 0.958118 + 0.696113i 0.952713 0.303872i \(-0.0982796\pi\)
0.00540476 + 0.999985i \(0.498280\pi\)
\(4\) 3.22657 + 0.750306i 1.61328 + 0.375153i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 3.48331 + 3.19696i 1.42206 + 1.30515i
\(7\) −1.38442 1.42453i −0.523262 0.538423i 0.403052 0.915177i \(-0.367949\pi\)
−0.926313 + 0.376754i \(0.877040\pi\)
\(8\) 2.84961 + 1.01674i 1.00749 + 0.359472i
\(9\) 0.373196 + 1.14858i 0.124399 + 0.382860i
\(10\) −1.50940 + 1.74194i −0.477315 + 0.550850i
\(11\) 1.27706 + 3.06090i 0.385049 + 0.922896i
\(12\) 4.44987 + 5.13542i 1.28457 + 1.48247i
\(13\) 0.362552 0.601225i 0.100554 0.166750i −0.802004 0.597319i \(-0.796233\pi\)
0.902558 + 0.430569i \(0.141687\pi\)
\(14\) −2.79589 3.62578i −0.747234 0.969030i
\(15\) −1.93197 + 0.689326i −0.498833 + 0.177983i
\(16\) 0.312632 + 0.153711i 0.0781580 + 0.0384277i
\(17\) −3.78371 + 3.09393i −0.917685 + 0.750387i −0.968680 0.248312i \(-0.920124\pi\)
0.0509952 + 0.998699i \(0.483761\pi\)
\(18\) 0.552801 + 2.72818i 0.130297 + 0.643039i
\(19\) 6.59430 + 0.377076i 1.51284 + 0.0865072i 0.793678 0.608338i \(-0.208164\pi\)
0.719159 + 0.694845i \(0.244527\pi\)
\(20\) −2.44057 + 2.23993i −0.545728 + 0.500865i
\(21\) −0.579890 4.03323i −0.126542 0.880122i
\(22\) 2.12011 + 7.34468i 0.452010 + 1.56589i
\(23\) 1.25178 8.70635i 0.261015 1.81540i −0.264242 0.964456i \(-0.585122\pi\)
0.525257 0.850944i \(-0.323969\pi\)
\(24\) 3.50307 + 5.12307i 0.715061 + 1.04574i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.988173 1.28149i 0.193797 0.251320i
\(27\) 1.13610 3.49657i 0.218643 0.672914i
\(28\) −3.39809 5.63509i −0.642178 1.06493i
\(29\) 1.36174 3.49761i 0.252870 0.649490i −0.747013 0.664809i \(-0.768513\pi\)
0.999883 + 0.0153192i \(0.00487644\pi\)
\(30\) −4.60513 + 1.07088i −0.840778 + 0.195515i
\(31\) −6.33506 2.67722i −1.13781 0.480843i −0.262754 0.964863i \(-0.584631\pi\)
−0.875057 + 0.484020i \(0.839176\pi\)
\(32\) −4.41503 2.83737i −0.780474 0.501580i
\(33\) −1.57124 + 6.61935i −0.273518 + 1.15228i
\(34\) −9.47721 + 6.09063i −1.62533 + 1.04453i
\(35\) 1.95734 0.338731i 0.330851 0.0572560i
\(36\) 0.342356 + 3.98598i 0.0570594 + 0.664330i
\(37\) −0.532051 + 6.19456i −0.0874687 + 1.01838i 0.812655 + 0.582745i \(0.198021\pi\)
−0.900124 + 0.435634i \(0.856524\pi\)
\(38\) 15.0012 + 2.59606i 2.43352 + 0.421136i
\(39\) 1.32656 0.560608i 0.212419 0.0897691i
\(40\) −2.44773 + 1.77838i −0.387021 + 0.281187i
\(41\) 4.81112 2.71696i 0.751370 0.424318i −0.0679247 0.997690i \(-0.521638\pi\)
0.819295 + 0.573372i \(0.194365\pi\)
\(42\) −0.268194 9.38803i −0.0413833 1.44860i
\(43\) −8.40539 + 2.46804i −1.28181 + 0.376373i −0.850569 0.525864i \(-0.823742\pi\)
−0.431241 + 0.902237i \(0.641924\pi\)
\(44\) 1.82391 + 10.8344i 0.274965 + 1.63335i
\(45\) −1.15877 0.340245i −0.172739 0.0507207i
\(46\) 5.15397 19.6077i 0.759912 2.89100i
\(47\) −0.497648 + 2.45599i −0.0725894 + 0.358243i −0.999870 0.0161243i \(-0.994867\pi\)
0.927281 + 0.374367i \(0.122140\pi\)
\(48\) 0.333486 + 0.632026i 0.0481345 + 0.0912251i
\(49\) 0.0872125 3.05284i 0.0124589 0.436120i
\(50\) −0.585953 2.22920i −0.0828663 0.315256i
\(51\) −10.0095 + 0.572362i −1.40160 + 0.0801466i
\(52\) 1.62090 1.66787i 0.224778 0.231292i
\(53\) −7.36226 + 3.61978i −1.01128 + 0.497215i −0.870156 0.492776i \(-0.835982\pi\)
−0.141129 + 0.989991i \(0.545073\pi\)
\(54\) 3.52025 7.70827i 0.479045 1.04896i
\(55\) −3.24752 0.673526i −0.437895 0.0908182i
\(56\) −2.49668 5.46697i −0.333633 0.730554i
\(57\) 10.4887 + 8.57653i 1.38926 + 1.13599i
\(58\) 4.03722 7.65138i 0.530113 1.00468i
\(59\) 5.17594 + 2.92298i 0.673849 + 0.380540i 0.790354 0.612650i \(-0.209896\pi\)
−0.116505 + 0.993190i \(0.537169\pi\)
\(60\) −6.75084 + 0.774587i −0.871530 + 0.0999987i
\(61\) −9.89071 + 1.13485i −1.26638 + 0.145303i −0.721027 0.692907i \(-0.756330\pi\)
−0.545348 + 0.838210i \(0.683602\pi\)
\(62\) −13.8032 7.79504i −1.75301 0.989971i
\(63\) 1.11953 2.12175i 0.141048 0.267315i
\(64\) −9.90385 8.09833i −1.23798 1.01229i
\(65\) 0.291654 + 0.638634i 0.0361753 + 0.0792128i
\(66\) −5.33716 + 14.7448i −0.656959 + 1.81496i
\(67\) 2.92979 6.41535i 0.357931 0.783759i −0.641925 0.766768i \(-0.721864\pi\)
0.999856 0.0169917i \(-0.00540888\pi\)
\(68\) −14.5298 + 7.14382i −1.76200 + 0.866315i
\(69\) 12.5746 12.9390i 1.51381 1.55767i
\(70\) 4.57110 0.261385i 0.546351 0.0312415i
\(71\) 2.81513 + 10.7099i 0.334095 + 1.27103i 0.896085 + 0.443883i \(0.146400\pi\)
−0.561990 + 0.827144i \(0.689964\pi\)
\(72\) −0.104342 + 3.65245i −0.0122968 + 0.430445i
\(73\) −1.29754 2.45912i −0.151866 0.287818i 0.796713 0.604357i \(-0.206570\pi\)
−0.948579 + 0.316539i \(0.897479\pi\)
\(74\) −2.84591 + 14.0451i −0.330830 + 1.63271i
\(75\) 0.521469 1.98387i 0.0602141 0.229078i
\(76\) 20.9940 + 6.16440i 2.40818 + 0.707106i
\(77\) 2.59237 6.05679i 0.295428 0.690235i
\(78\) 3.18497 0.935192i 0.360627 0.105890i
\(79\) 0.184174 + 6.44692i 0.0207212 + 0.725335i 0.941842 + 0.336057i \(0.109094\pi\)
−0.921120 + 0.389278i \(0.872725\pi\)
\(80\) −0.303347 + 0.171308i −0.0339152 + 0.0191528i
\(81\) 9.03231 6.56236i 1.00359 0.729151i
\(82\) 11.7308 4.95748i 1.29545 0.547463i
\(83\) 4.16653 + 0.721047i 0.457336 + 0.0791452i 0.394535 0.918881i \(-0.370906\pi\)
0.0628013 + 0.998026i \(0.479997\pi\)
\(84\) 1.15510 13.4486i 0.126032 1.46736i
\(85\) −0.418258 4.86969i −0.0453665 0.528192i
\(86\) −19.8959 + 3.44312i −2.14543 + 0.371282i
\(87\) 6.47691 4.16246i 0.694397 0.446262i
\(88\) 0.526992 + 10.0208i 0.0561776 + 1.06822i
\(89\) 12.0832 + 7.76539i 1.28081 + 0.823129i 0.990988 0.133950i \(-0.0427662\pi\)
0.289826 + 0.957079i \(0.406403\pi\)
\(90\) −2.56406 1.08358i −0.270276 0.114220i
\(91\) −1.35839 + 0.315880i −0.142398 + 0.0331132i
\(92\) 10.5714 27.1524i 1.10214 2.83083i
\(93\) −7.28516 12.0811i −0.755436 1.25275i
\(94\) −1.78485 + 5.49321i −0.184093 + 0.566581i
\(95\) −4.03338 + 5.23057i −0.413816 + 0.536646i
\(96\) −3.90575 10.0318i −0.398629 1.02387i
\(97\) 6.78052 + 9.91620i 0.688458 + 1.00684i 0.998426 + 0.0560906i \(0.0178636\pi\)
−0.309968 + 0.950747i \(0.600318\pi\)
\(98\) 1.00181 6.96776i 0.101198 0.703851i
\(99\) −3.03909 + 2.60912i −0.305440 + 0.262227i
\(100\) −0.471440 3.27894i −0.0471440 0.327894i
\(101\) −11.4666 + 10.5239i −1.14097 + 1.04717i −0.142616 + 0.989778i \(0.545551\pi\)
−0.998352 + 0.0573926i \(0.981721\pi\)
\(102\) −23.0710 1.31925i −2.28437 0.130625i
\(103\) 0.513229 + 2.53288i 0.0505699 + 0.249572i 0.997391 0.0721880i \(-0.0229982\pi\)
−0.946821 + 0.321760i \(0.895725\pi\)
\(104\) 1.64442 1.34464i 0.161249 0.131853i
\(105\) 3.65663 + 1.79784i 0.356851 + 0.175452i
\(106\) −17.8099 + 6.35455i −1.72985 + 0.617209i
\(107\) −6.79064 8.80625i −0.656476 0.851333i 0.339533 0.940594i \(-0.389731\pi\)
−0.996008 + 0.0892616i \(0.971549\pi\)
\(108\) 6.28920 10.4295i 0.605179 1.00358i
\(109\) −2.68445 3.09802i −0.257124 0.296736i 0.612481 0.790485i \(-0.290172\pi\)
−0.869605 + 0.493749i \(0.835626\pi\)
\(110\) −7.25951 2.39556i −0.692167 0.228408i
\(111\) −8.35174 + 9.63843i −0.792712 + 0.914839i
\(112\) −0.213848 0.658156i −0.0202067 0.0621899i
\(113\) 16.1707 + 5.76970i 1.52121 + 0.542767i 0.958798 0.284089i \(-0.0916910\pi\)
0.562414 + 0.826856i \(0.309873\pi\)
\(114\) 21.7645 + 22.3952i 2.03844 + 2.09750i
\(115\) 6.48029 + 5.94755i 0.604290 + 0.554612i
\(116\) 7.01803 10.2635i 0.651608 0.952947i
\(117\) 0.825858 + 0.192045i 0.0763506 + 0.0177546i
\(118\) 11.0844 + 8.05326i 1.02040 + 0.741363i
\(119\) 9.64565 + 1.10674i 0.884215 + 0.101454i
\(120\) −6.20624 −0.566549
\(121\) −7.73823 + 7.81792i −0.703475 + 0.710720i
\(122\) −22.9469 −2.07751
\(123\) 11.2599 + 1.29196i 1.01527 + 0.116492i
\(124\) −18.4318 13.3915i −1.65522 1.20259i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 3.12108 4.56443i 0.278048 0.406632i
\(127\) 4.17582 + 3.83253i 0.370544 + 0.340082i 0.839717 0.543024i \(-0.182721\pi\)
−0.469173 + 0.883106i \(0.655448\pi\)
\(128\) −13.2357 13.6193i −1.16989 1.20378i
\(129\) −16.9245 6.03866i −1.49012 0.531675i
\(130\) 0.500063 + 1.53903i 0.0438584 + 0.134982i
\(131\) 5.81373 6.70941i 0.507948 0.586204i −0.442624 0.896707i \(-0.645952\pi\)
0.950572 + 0.310504i \(0.100498\pi\)
\(132\) −10.0363 + 20.1788i −0.873544 + 1.75634i
\(133\) −8.59213 9.91584i −0.745032 0.859813i
\(134\) 8.39449 13.9207i 0.725174 1.20257i
\(135\) 2.24505 + 2.91143i 0.193223 + 0.250576i
\(136\) −13.9278 + 4.96944i −1.19430 + 0.426126i
\(137\) 0.154870 + 0.0761444i 0.0132314 + 0.00650545i 0.447825 0.894121i \(-0.352199\pi\)
−0.434593 + 0.900627i \(0.643108\pi\)
\(138\) 32.1942 26.3251i 2.74055 2.24094i
\(139\) 1.72128 + 8.49487i 0.145997 + 0.720525i 0.984466 + 0.175575i \(0.0561785\pi\)
−0.838469 + 0.544950i \(0.816549\pi\)
\(140\) 6.56964 + 0.375665i 0.555236 + 0.0317495i
\(141\) −3.78704 + 3.47572i −0.318927 + 0.292708i
\(142\) 3.63243 + 25.2641i 0.304827 + 2.12012i
\(143\) 2.30329 + 0.341934i 0.192611 + 0.0285940i
\(144\) −0.0598761 + 0.416447i −0.00498967 + 0.0347039i
\(145\) 2.11855 + 3.09828i 0.175936 + 0.257299i
\(146\) −2.32513 5.97204i −0.192429 0.494250i
\(147\) 3.82555 4.96106i 0.315526 0.409181i
\(148\) −6.36451 + 19.5880i −0.523160 + 1.61012i
\(149\) −1.21304 2.01160i −0.0993762 0.164797i 0.802687 0.596400i \(-0.203403\pi\)
−0.902064 + 0.431603i \(0.857948\pi\)
\(150\) 1.71536 4.40585i 0.140058 0.359737i
\(151\) −18.4692 + 4.29484i −1.50301 + 0.349509i −0.895592 0.444876i \(-0.853248\pi\)
−0.607414 + 0.794385i \(0.707793\pi\)
\(152\) 18.4078 + 7.77921i 1.49307 + 0.630977i
\(153\) −4.96569 3.19125i −0.401452 0.257998i
\(154\) 7.52762 13.1883i 0.606593 1.06274i
\(155\) 5.78575 3.71828i 0.464723 0.298659i
\(156\) 4.70085 0.813514i 0.376369 0.0651333i
\(157\) −2.07545 24.1641i −0.165639 1.92850i −0.333614 0.942710i \(-0.608268\pi\)
0.167974 0.985791i \(-0.446277\pi\)
\(158\) −1.27213 + 14.8112i −0.101205 + 1.17831i
\(159\) −16.5821 2.86965i −1.31505 0.227578i
\(160\) 4.83420 2.04295i 0.382177 0.161509i
\(161\) −14.1355 + 10.2700i −1.11403 + 0.809392i
\(162\) 22.4073 12.6540i 1.76048 0.994189i
\(163\) 0.524413 + 18.3568i 0.0410752 + 1.43782i 0.715055 + 0.699069i \(0.246402\pi\)
−0.673980 + 0.738750i \(0.735416\pi\)
\(164\) 17.5619 5.15665i 1.37136 0.402667i
\(165\) −4.57721 5.03326i −0.356335 0.391839i
\(166\) 9.35148 + 2.74584i 0.725815 + 0.213119i
\(167\) −0.741409 + 2.82061i −0.0573719 + 0.218266i −0.989656 0.143462i \(-0.954177\pi\)
0.932284 + 0.361727i \(0.117813\pi\)
\(168\) 2.44828 12.0827i 0.188889 0.932203i
\(169\) 5.83665 + 11.0617i 0.448973 + 0.850898i
\(170\) 0.321700 11.2610i 0.0246733 0.863678i
\(171\) 2.02787 + 7.71481i 0.155075 + 0.589966i
\(172\) −28.9723 + 1.65670i −2.20912 + 0.126322i
\(173\) 6.01890 6.19331i 0.457609 0.470868i −0.448579 0.893743i \(-0.648070\pi\)
0.906188 + 0.422875i \(0.138979\pi\)
\(174\) 15.9251 7.82984i 1.20728 0.593579i
\(175\) −0.825194 + 1.80692i −0.0623788 + 0.136591i
\(176\) −0.0712431 + 1.15323i −0.00537015 + 0.0869283i
\(177\) 5.06525 + 11.0914i 0.380728 + 0.833678i
\(178\) 25.6289 + 20.9567i 1.92097 + 1.57077i
\(179\) −0.464326 + 0.879995i −0.0347053 + 0.0657739i −0.901174 0.433458i \(-0.857293\pi\)
0.866469 + 0.499232i \(0.166384\pi\)
\(180\) −3.48355 1.96725i −0.259649 0.146630i
\(181\) 15.8170 1.81483i 1.17567 0.134895i 0.495937 0.868359i \(-0.334825\pi\)
0.679729 + 0.733464i \(0.262098\pi\)
\(182\) −3.19357 + 0.366428i −0.236723 + 0.0271614i
\(183\) −17.7820 10.0420i −1.31448 0.742323i
\(184\) 12.4192 23.5370i 0.915555 1.73517i
\(185\) −4.81312 3.93567i −0.353868 0.289356i
\(186\) −13.5081 29.5785i −0.990459 2.16880i
\(187\) −14.3022 7.63043i −1.04588 0.557992i
\(188\) −3.44844 + 7.55102i −0.251503 + 0.550715i
\(189\) −6.55382 + 3.22230i −0.476720 + 0.234388i
\(190\) −10.6103 + 10.9177i −0.769752 + 0.792056i
\(191\) 4.06739 0.232582i 0.294306 0.0168290i 0.0906876 0.995879i \(-0.471094\pi\)
0.203618 + 0.979050i \(0.434730\pi\)
\(192\) −6.67132 25.3804i −0.481461 1.83167i
\(193\) −0.0684080 + 2.39459i −0.00492411 + 0.172366i 0.993408 + 0.114633i \(0.0365692\pi\)
−0.998332 + 0.0577335i \(0.981613\pi\)
\(194\) 12.9213 + 24.4886i 0.927695 + 1.75818i
\(195\) −0.286000 + 1.41147i −0.0204809 + 0.101077i
\(196\) 2.57196 9.78474i 0.183711 0.698910i
\(197\) −12.1124 3.55654i −0.862976 0.253393i −0.179851 0.983694i \(-0.557562\pi\)
−0.683125 + 0.730301i \(0.739380\pi\)
\(198\) −7.64473 + 5.17613i −0.543287 + 0.367851i
\(199\) 19.7199 5.79029i 1.39791 0.410463i 0.505943 0.862567i \(-0.331145\pi\)
0.891965 + 0.452104i \(0.149327\pi\)
\(200\) −0.0863982 3.02433i −0.00610928 0.213853i
\(201\) 12.5970 7.11386i 0.888525 0.501773i
\(202\) −29.0224 + 21.0860i −2.04201 + 1.48360i
\(203\) −6.86769 + 2.90231i −0.482018 + 0.203702i
\(204\) −32.7256 5.66339i −2.29125 0.396517i
\(205\) −0.472826 + 5.50501i −0.0330236 + 0.384487i
\(206\) 0.509748 + 5.93488i 0.0355158 + 0.413503i
\(207\) 10.4671 1.81140i 0.727514 0.125901i
\(208\) 0.205760 0.132234i 0.0142669 0.00916878i
\(209\) 7.26714 + 20.6661i 0.502679 + 1.42950i
\(210\) 7.90094 + 5.07762i 0.545216 + 0.350389i
\(211\) −13.9292 5.88654i −0.958927 0.405246i −0.147085 0.989124i \(-0.546989\pi\)
−0.811841 + 0.583878i \(0.801535\pi\)
\(212\) −26.4708 + 6.15552i −1.81802 + 0.422763i
\(213\) −8.24119 + 21.1673i −0.564677 + 1.45036i
\(214\) −13.2361 21.9496i −0.904800 1.50044i
\(215\) 2.70706 8.33148i 0.184620 0.568202i
\(216\) 6.79255 8.80874i 0.462174 0.599359i
\(217\) 4.95660 + 12.7309i 0.336476 + 0.864231i
\(218\) −5.33313 7.79946i −0.361205 0.528246i
\(219\) 0.811683 5.64538i 0.0548485 0.381479i
\(220\) −9.97298 4.60981i −0.672378 0.310793i
\(221\) 0.488353 + 3.39657i 0.0328502 + 0.228478i
\(222\) −21.6570 + 19.8766i −1.45352 + 1.33403i
\(223\) −15.8646 0.907173i −1.06238 0.0607488i −0.482850 0.875703i \(-0.660398\pi\)
−0.579525 + 0.814954i \(0.696762\pi\)
\(224\) 2.07033 + 10.2175i 0.138330 + 0.682683i
\(225\) 0.934922 0.764482i 0.0623281 0.0509654i
\(226\) 35.5133 + 17.4607i 2.36231 + 1.16147i
\(227\) −6.96177 + 2.48396i −0.462069 + 0.164866i −0.556817 0.830635i \(-0.687977\pi\)
0.0947476 + 0.995501i \(0.469796\pi\)
\(228\) 27.4073 + 35.5425i 1.81509 + 2.35386i
\(229\) 5.59804 9.28330i 0.369929 0.613458i −0.614567 0.788864i \(-0.710669\pi\)
0.984496 + 0.175407i \(0.0561240\pi\)
\(230\) 13.2765 + 15.3219i 0.875428 + 1.01030i
\(231\) 11.6048 6.92567i 0.763537 0.455675i
\(232\) 7.43660 8.58230i 0.488237 0.563455i
\(233\) −7.26124 22.3478i −0.475699 1.46405i −0.845012 0.534747i \(-0.820407\pi\)
0.369313 0.929305i \(-0.379593\pi\)
\(234\) 1.84067 + 0.656750i 0.120328 + 0.0429331i
\(235\) −1.74646 1.79706i −0.113926 0.117227i
\(236\) 14.5074 + 13.3147i 0.944349 + 0.866716i
\(237\) −7.46743 + 10.9208i −0.485062 + 0.709380i
\(238\) 21.7968 + 5.06862i 1.41287 + 0.328550i
\(239\) 5.28145 + 3.83720i 0.341629 + 0.248208i 0.745349 0.666675i \(-0.232283\pi\)
−0.403720 + 0.914883i \(0.632283\pi\)
\(240\) −0.709954 0.0814596i −0.0458273 0.00525819i
\(241\) −2.34810 −0.151254 −0.0756272 0.997136i \(-0.524096\pi\)
−0.0756272 + 0.997136i \(0.524096\pi\)
\(242\) −19.7738 + 15.8691i −1.27111 + 1.02010i
\(243\) 11.8719 0.761585
\(244\) −32.7645 3.75938i −2.09753 0.240669i
\(245\) 2.47080 + 1.79514i 0.157854 + 0.114688i
\(246\) 25.4446 + 5.91690i 1.62229 + 0.377248i
\(247\) 2.61749 3.82795i 0.166547 0.243567i
\(248\) −15.3304 14.0702i −0.973484 0.893456i
\(249\) 6.04503 + 6.22018i 0.383088 + 0.394188i
\(250\) 2.17088 + 0.774567i 0.137298 + 0.0489879i
\(251\) 1.68948 + 5.19968i 0.106639 + 0.328201i 0.990112 0.140282i \(-0.0448009\pi\)
−0.883473 + 0.468483i \(0.844801\pi\)
\(252\) 5.20420 6.00597i 0.327834 0.378340i
\(253\) 28.2479 7.28696i 1.77593 0.458127i
\(254\) 8.55522 + 9.87325i 0.536802 + 0.619503i
\(255\) 5.17730 8.58559i 0.324215 0.537651i
\(256\) −11.1057 14.4021i −0.694106 0.900132i
\(257\) −8.38063 + 2.99020i −0.522769 + 0.186524i −0.584234 0.811586i \(-0.698605\pi\)
0.0614643 + 0.998109i \(0.480423\pi\)
\(258\) −37.1688 18.2747i −2.31403 1.13773i
\(259\) 9.56095 7.81795i 0.594088 0.485784i
\(260\) 0.461871 + 2.27942i 0.0286440 + 0.141364i
\(261\) 4.52548 + 0.258776i 0.280120 + 0.0160179i
\(262\) 15.0757 13.8363i 0.931379 0.854812i
\(263\) −0.933670 6.49382i −0.0575726 0.400426i −0.998148 0.0608399i \(-0.980622\pi\)
0.940575 0.339586i \(-0.110287\pi\)
\(264\) −11.2076 + 17.2650i −0.689779 + 1.06259i
\(265\) 1.16755 8.12050i 0.0717222 0.498839i
\(266\) −17.0698 24.9638i −1.04662 1.53063i
\(267\) 10.6894 + 27.4554i 0.654179 + 1.68025i
\(268\) 14.2666 18.5013i 0.871473 1.13015i
\(269\) 1.68104 5.17370i 0.102495 0.315446i −0.886640 0.462461i \(-0.846967\pi\)
0.989134 + 0.147015i \(0.0469666\pi\)
\(270\) 4.37598 + 7.25675i 0.266314 + 0.441632i
\(271\) −3.57153 + 9.17340i −0.216955 + 0.557245i −0.997713 0.0675887i \(-0.978469\pi\)
0.780758 + 0.624833i \(0.214833\pi\)
\(272\) −1.65848 + 0.385663i −0.100560 + 0.0233843i
\(273\) −2.63512 1.11361i −0.159485 0.0673987i
\(274\) 0.334630 + 0.215053i 0.0202157 + 0.0129918i
\(275\) 2.38902 2.30057i 0.144063 0.138729i
\(276\) 50.2810 32.3137i 3.02656 1.94505i
\(277\) −12.9040 + 2.23313i −0.775327 + 0.134176i −0.544434 0.838804i \(-0.683256\pi\)
−0.230893 + 0.972979i \(0.574165\pi\)
\(278\) 1.70961 + 19.9046i 0.102535 + 1.19380i
\(279\) 0.710780 8.27546i 0.0425533 0.495439i
\(280\) 5.92206 + 1.02485i 0.353911 + 0.0612467i
\(281\) −0.922955 + 0.390044i −0.0550589 + 0.0232681i −0.416626 0.909078i \(-0.636787\pi\)
0.361567 + 0.932346i \(0.382242\pi\)
\(282\) −9.58515 + 6.96402i −0.570787 + 0.414701i
\(283\) −2.13988 + 1.20845i −0.127203 + 0.0718348i −0.554021 0.832503i \(-0.686907\pi\)
0.426818 + 0.904338i \(0.359635\pi\)
\(284\) 1.04753 + 36.6683i 0.0621594 + 2.17586i
\(285\) −12.9999 + 3.81713i −0.770050 + 0.226107i
\(286\) 5.18446 + 1.38816i 0.306563 + 0.0820838i
\(287\) −10.5310 3.09219i −0.621626 0.182526i
\(288\) 1.61127 6.12991i 0.0949450 0.361208i
\(289\) 1.36806 6.75165i 0.0804742 0.397156i
\(290\) 4.03722 + 7.65138i 0.237074 + 0.449304i
\(291\) −0.703660 + 24.6313i −0.0412493 + 1.44391i
\(292\) −2.34152 8.90806i −0.137027 0.521305i
\(293\) 6.23123 0.356315i 0.364033 0.0208161i 0.125884 0.992045i \(-0.459823\pi\)
0.238148 + 0.971229i \(0.423460\pi\)
\(294\) 10.0636 10.3552i 0.586920 0.603926i
\(295\) −5.33436 + 2.62273i −0.310579 + 0.152701i
\(296\) −7.81439 + 17.1111i −0.454202 + 0.994564i
\(297\) 12.1535 0.987832i 0.705218 0.0573198i
\(298\) −2.24921 4.92508i −0.130293 0.285302i
\(299\) −4.78064 3.90911i −0.276472 0.226070i
\(300\) 3.17107 6.00984i 0.183082 0.346978i
\(301\) 15.1524 + 8.55695i 0.873370 + 0.493215i
\(302\) −43.4211 + 4.98211i −2.49860 + 0.286688i
\(303\) −31.7176 + 3.63926i −1.82213 + 0.209070i
\(304\) 2.00363 + 1.13150i 0.114916 + 0.0648961i
\(305\) 4.64595 8.80506i 0.266026 0.504176i
\(306\) −10.5324 8.61233i −0.602099 0.492334i
\(307\) 0.905652 + 1.98310i 0.0516883 + 0.113182i 0.933714 0.358020i \(-0.116548\pi\)
−0.882026 + 0.471201i \(0.843821\pi\)
\(308\) 12.9089 17.5976i 0.735553 1.00271i
\(309\) −2.20220 + 4.82214i −0.125279 + 0.274322i
\(310\) 14.2257 6.99432i 0.807967 0.397250i
\(311\) 17.9900 18.5112i 1.02012 1.04968i 0.0213635 0.999772i \(-0.493199\pi\)
0.998754 0.0499043i \(-0.0158916\pi\)
\(312\) 4.35017 0.248751i 0.246280 0.0140828i
\(313\) −0.164034 0.624051i −0.00927176 0.0352734i 0.962350 0.271813i \(-0.0876231\pi\)
−0.971622 + 0.236539i \(0.923987\pi\)
\(314\) 1.59632 55.8785i 0.0900855 3.15340i
\(315\) 1.11953 + 2.12175i 0.0630784 + 0.119547i
\(316\) −4.24291 + 20.9396i −0.238682 + 1.17794i
\(317\) 4.91055 18.6817i 0.275804 1.04927i −0.674583 0.738199i \(-0.735677\pi\)
0.950387 0.311069i \(-0.100687\pi\)
\(318\) −37.2174 10.9280i −2.08705 0.612812i
\(319\) 12.4449 0.298503i 0.696779 0.0167129i
\(320\) 12.2751 3.60430i 0.686199 0.201486i
\(321\) −0.651388 22.8015i −0.0363569 1.27266i
\(322\) −35.0672 + 19.8033i −1.95422 + 1.10360i
\(323\) −26.1176 + 18.9755i −1.45322 + 1.05583i
\(324\) 34.0671 14.3969i 1.89262 0.799827i
\(325\) −0.691797 0.119720i −0.0383740 0.00664088i
\(326\) −3.62224 + 42.1730i −0.200618 + 2.33575i
\(327\) −0.719573 8.37784i −0.0397925 0.463296i
\(328\) 16.4723 2.85064i 0.909529 0.157400i
\(329\) 4.18759 2.69120i 0.230870 0.148371i
\(330\) −9.15888 12.7283i −0.504180 0.700668i
\(331\) −27.8606 17.9049i −1.53136 0.984143i −0.989638 0.143583i \(-0.954138\pi\)
−0.541718 0.840560i \(-0.682226\pi\)
\(332\) 12.9026 + 5.45268i 0.708121 + 0.299255i
\(333\) −7.31350 + 1.70068i −0.400778 + 0.0931968i
\(334\) −2.43884 + 6.26411i −0.133447 + 0.342757i
\(335\) 3.64199 + 6.03956i 0.198983 + 0.329976i
\(336\) 0.438658 1.35005i 0.0239308 0.0736514i
\(337\) −13.5197 + 17.5326i −0.736463 + 0.955062i −0.999954 0.00959977i \(-0.996944\pi\)
0.263491 + 0.964662i \(0.415126\pi\)
\(338\) 10.4590 + 26.8636i 0.568892 + 1.46119i
\(339\) 19.8789 + 29.0719i 1.07967 + 1.57897i
\(340\) 2.30422 16.0262i 0.124964 0.869143i
\(341\) 0.104437 22.8100i 0.00565559 1.23523i
\(342\) 2.61661 + 18.1989i 0.141490 + 0.984084i
\(343\) −14.7140 + 13.5044i −0.794482 + 0.729169i
\(344\) −26.4615 1.51312i −1.42671 0.0815820i
\(345\) 3.58310 + 17.6833i 0.192908 + 0.952038i
\(346\) 15.4099 12.6006i 0.828441 0.677413i
\(347\) 18.7213 + 9.20463i 1.00501 + 0.494131i 0.868066 0.496448i \(-0.165363\pi\)
0.136945 + 0.990579i \(0.456272\pi\)
\(348\) 24.0213 8.57078i 1.28768 0.459442i
\(349\) −2.38080 3.08748i −0.127441 0.165269i 0.723858 0.689949i \(-0.242367\pi\)
−0.851300 + 0.524680i \(0.824185\pi\)
\(350\) −2.36436 + 3.92085i −0.126380 + 0.209578i
\(351\) −1.69033 1.95074i −0.0902229 0.104123i
\(352\) 3.04663 17.1375i 0.162386 0.913429i
\(353\) 9.27567 10.7047i 0.493694 0.569754i −0.453155 0.891432i \(-0.649702\pi\)
0.946849 + 0.321678i \(0.104247\pi\)
\(354\) 8.68475 + 26.7289i 0.461589 + 1.42063i
\(355\) −10.4297 3.72130i −0.553550 0.197506i
\(356\) 33.1608 + 34.1216i 1.75752 + 1.80844i
\(357\) 14.6726 + 13.4664i 0.776559 + 0.712719i
\(358\) −1.29447 + 1.89310i −0.0684148 + 0.100053i
\(359\) 26.9574 + 6.26868i 1.42276 + 0.330848i 0.866091 0.499887i \(-0.166625\pi\)
0.556668 + 0.830735i \(0.312080\pi\)
\(360\) −2.95610 2.14773i −0.155800 0.113195i
\(361\) 24.4665 + 2.80727i 1.28771 + 0.147751i
\(362\) 36.6960 1.92870
\(363\) −22.2677 + 3.64390i −1.16875 + 0.191255i
\(364\) −4.61994 −0.242151
\(365\) 2.76232 + 0.316947i 0.144587 + 0.0165898i
\(366\) −38.0805 27.6671i −1.99050 1.44618i
\(367\) 19.5666 + 4.55001i 1.02137 + 0.237508i 0.703551 0.710645i \(-0.251597\pi\)
0.317814 + 0.948153i \(0.397051\pi\)
\(368\) 1.72961 2.52947i 0.0901621 0.131858i
\(369\) 4.91614 + 4.51199i 0.255924 + 0.234885i
\(370\) −9.98749 10.2769i −0.519225 0.534270i
\(371\) 15.3490 + 5.47650i 0.796879 + 0.284326i
\(372\) −14.4415 44.4465i −0.748759 2.30444i
\(373\) −9.36877 + 10.8121i −0.485096 + 0.559831i −0.944549 0.328371i \(-0.893500\pi\)
0.459452 + 0.888202i \(0.348046\pi\)
\(374\) −30.7458 21.2307i −1.58983 1.09781i
\(375\) 1.34329 + 1.55024i 0.0693673 + 0.0800542i
\(376\) −3.91520 + 6.49264i −0.201911 + 0.334832i
\(377\) −1.60915 2.08678i −0.0828754 0.107475i
\(378\) −15.8542 + 5.65677i −0.815452 + 0.290953i
\(379\) −18.2911 8.99311i −0.939549 0.461945i −0.0938387 0.995587i \(-0.529914\pi\)
−0.845710 + 0.533642i \(0.820823\pi\)
\(380\) −16.9385 + 13.8505i −0.868926 + 0.710517i
\(381\) 2.30891 + 11.3949i 0.118289 + 0.583779i
\(382\) 9.37500 + 0.536082i 0.479667 + 0.0274283i
\(383\) −7.64943 + 7.02058i −0.390868 + 0.358735i −0.847385 0.530980i \(-0.821824\pi\)
0.456517 + 0.889715i \(0.349097\pi\)
\(384\) −5.54404 38.5596i −0.282918 1.96774i
\(385\) 3.53647 + 5.55864i 0.180235 + 0.283295i
\(386\) −0.785805 + 5.46539i −0.0399964 + 0.278181i
\(387\) −5.97160 8.73319i −0.303554 0.443933i
\(388\) 14.4376 + 37.0827i 0.732959 + 1.88259i
\(389\) −2.34449 + 3.04038i −0.118870 + 0.154154i −0.847577 0.530672i \(-0.821940\pi\)
0.728707 + 0.684825i \(0.240122\pi\)
\(390\) −1.02576 + 3.15697i −0.0519414 + 0.159859i
\(391\) 22.2004 + 36.8153i 1.12272 + 1.86183i
\(392\) 3.35246 8.61073i 0.169325 0.434908i
\(393\) 17.7375 4.12468i 0.894738 0.208062i
\(394\) −26.8018 11.3265i −1.35026 0.570623i
\(395\) −5.42571 3.48689i −0.272997 0.175444i
\(396\) −11.7635 + 6.13826i −0.591137 + 0.308459i
\(397\) 14.6419 9.40980i 0.734858 0.472265i −0.118919 0.992904i \(-0.537943\pi\)
0.853777 + 0.520639i \(0.174306\pi\)
\(398\) 46.6779 8.07793i 2.33975 0.404910i
\(399\) −2.30314 26.8150i −0.115301 1.34243i
\(400\) 0.0298123 0.347098i 0.00149061 0.0173549i
\(401\) 26.1355 + 4.52293i 1.30515 + 0.225864i 0.780339 0.625357i \(-0.215047\pi\)
0.524807 + 0.851221i \(0.324137\pi\)
\(402\) 30.7150 12.9803i 1.53192 0.647396i
\(403\) −3.90640 + 2.83817i −0.194592 + 0.141379i
\(404\) −44.8939 + 25.3527i −2.23355 + 1.26135i
\(405\) 0.318816 + 11.1600i 0.0158421 + 0.554545i
\(406\) −16.4889 + 4.84157i −0.818328 + 0.240283i
\(407\) −19.6404 + 6.28228i −0.973538 + 0.311401i
\(408\) −29.1050 8.54600i −1.44091 0.423090i
\(409\) 7.77076 29.5630i 0.384239 1.46180i −0.441253 0.897383i \(-0.645466\pi\)
0.825492 0.564414i \(-0.190898\pi\)
\(410\) −2.52912 + 12.4817i −0.124904 + 0.616426i
\(411\) 0.165200 + 0.313089i 0.00814873 + 0.0154436i
\(412\) −0.244471 + 8.55759i −0.0120442 + 0.421602i
\(413\) −3.00178 11.4199i −0.147708 0.561938i
\(414\) 24.4445 1.39779i 1.20138 0.0686975i
\(415\) −2.94697 + 3.03237i −0.144661 + 0.148853i
\(416\) −3.30657 + 1.62573i −0.162118 + 0.0797081i
\(417\) −7.38580 + 16.1727i −0.361684 + 0.791978i
\(418\) 11.2112 + 49.2325i 0.548357 + 2.40804i
\(419\) 10.7351 + 23.5065i 0.524442 + 1.14837i 0.967730 + 0.251989i \(0.0810847\pi\)
−0.443288 + 0.896379i \(0.646188\pi\)
\(420\) 10.4494 + 8.54445i 0.509880 + 0.416927i
\(421\) 15.0424 28.5086i 0.733124 1.38942i −0.180792 0.983521i \(-0.557866\pi\)
0.913916 0.405903i \(-0.133043\pi\)
\(422\) −30.3498 17.1393i −1.47741 0.834330i
\(423\) −3.00662 + 0.344977i −0.146187 + 0.0167734i
\(424\) −24.6600 + 2.82947i −1.19759 + 0.137411i
\(425\) 4.25588 + 2.40341i 0.206440 + 0.116582i
\(426\) −24.4330 + 46.3057i −1.18378 + 2.24352i
\(427\) 15.3095 + 12.5185i 0.740880 + 0.605815i
\(428\) −15.3031 33.5090i −0.739701 1.61972i
\(429\) 3.41006 + 3.34453i 0.164639 + 0.161475i
\(430\) 8.38791 18.3670i 0.404501 0.885734i
\(431\) 11.3682 5.58938i 0.547588 0.269231i −0.146390 0.989227i \(-0.546765\pi\)
0.693978 + 0.719996i \(0.255856\pi\)
\(432\) 0.892642 0.918507i 0.0429473 0.0441917i
\(433\) −35.5277 + 2.03154i −1.70735 + 0.0976298i −0.883276 0.468853i \(-0.844667\pi\)
−0.824074 + 0.566483i \(0.808304\pi\)
\(434\) 8.00516 + 30.4548i 0.384260 + 1.46188i
\(435\) −0.219856 + 7.69597i −0.0105413 + 0.368994i
\(436\) −6.33709 12.0101i −0.303492 0.575181i
\(437\) 11.5376 56.9403i 0.551918 2.72382i
\(438\) 3.34194 12.7141i 0.159684 0.607502i
\(439\) 37.6949 + 11.0682i 1.79908 + 0.528257i 0.997567 0.0697211i \(-0.0222109\pi\)
0.801512 + 0.597978i \(0.204029\pi\)
\(440\) −8.56936 5.22117i −0.408528 0.248909i
\(441\) 3.53897 1.03914i 0.168523 0.0494827i
\(442\) 0.225859 + 7.90611i 0.0107430 + 0.376055i
\(443\) −7.31704 + 4.13213i −0.347643 + 0.196323i −0.655657 0.755059i \(-0.727608\pi\)
0.308014 + 0.951382i \(0.400336\pi\)
\(444\) −34.1792 + 24.8327i −1.62207 + 1.17851i
\(445\) −13.2304 + 5.59120i −0.627180 + 0.265048i
\(446\) −36.0900 6.24563i −1.70891 0.295739i
\(447\) 0.412345 4.80084i 0.0195032 0.227072i
\(448\) 2.17473 + 25.3199i 0.102746 + 1.19625i
\(449\) −16.9648 + 2.93587i −0.800618 + 0.138552i −0.556125 0.831099i \(-0.687712\pi\)
−0.244493 + 0.969651i \(0.578622\pi\)
\(450\) 2.34173 1.50494i 0.110390 0.0709436i
\(451\) 14.4604 + 11.2566i 0.680916 + 0.530054i
\(452\) 47.8468 + 30.7493i 2.25052 + 1.44632i
\(453\) −35.8282 15.1411i −1.68335 0.711391i
\(454\) −16.5944 + 3.85886i −0.778812 + 0.181105i
\(455\) 0.505984 1.29961i 0.0237209 0.0609266i
\(456\) 21.1685 + 35.1040i 0.991306 + 1.64390i
\(457\) 4.14067 12.7437i 0.193692 0.596124i −0.806297 0.591511i \(-0.798532\pi\)
0.999989 0.00461300i \(-0.00146837\pi\)
\(458\) 15.2580 19.7870i 0.712961 0.924584i
\(459\) 6.51943 + 16.7450i 0.304301 + 0.781590i
\(460\) 16.4466 + 24.0524i 0.766826 + 1.12145i
\(461\) 1.42693 9.92449i 0.0664586 0.462230i −0.929232 0.369496i \(-0.879530\pi\)
0.995691 0.0927337i \(-0.0295605\pi\)
\(462\) 28.3933 12.8100i 1.32098 0.595976i
\(463\) 1.36824 + 9.51631i 0.0635875 + 0.442261i 0.996598 + 0.0824123i \(0.0262624\pi\)
−0.933011 + 0.359848i \(0.882828\pi\)
\(464\) 0.963346 0.884151i 0.0447222 0.0410457i
\(465\) 14.0846 + 0.805389i 0.653160 + 0.0373490i
\(466\) −10.7558 53.0819i −0.498252 2.45897i
\(467\) 6.08628 4.97672i 0.281639 0.230295i −0.481632 0.876374i \(-0.659956\pi\)
0.763271 + 0.646078i \(0.223592\pi\)
\(468\) 2.52059 + 1.23929i 0.116514 + 0.0572863i
\(469\) −13.1949 + 4.70795i −0.609286 + 0.217393i
\(470\) −3.52704 4.57395i −0.162690 0.210980i
\(471\) 25.6904 42.6028i 1.18375 1.96303i
\(472\) 11.7775 + 13.5920i 0.542103 + 0.625620i
\(473\) −18.2886 22.5762i −0.840912 1.03806i
\(474\) −19.9690 + 23.0454i −0.917206 + 1.05851i
\(475\) −2.04108 6.28180i −0.0936512 0.288229i
\(476\) 30.2919 + 10.8081i 1.38843 + 0.495390i
\(477\) −6.90518 7.10526i −0.316166 0.325327i
\(478\) 11.0858 + 10.1744i 0.507052 + 0.465368i
\(479\) −0.936364 + 1.36939i −0.0427836 + 0.0625690i −0.846271 0.532753i \(-0.821157\pi\)
0.803487 + 0.595322i \(0.202976\pi\)
\(480\) 10.4856 + 2.43832i 0.478599 + 0.111293i
\(481\) 3.53143 + 2.56573i 0.161019 + 0.116987i
\(482\) −5.37691 0.616943i −0.244911 0.0281010i
\(483\) −35.8406 −1.63080
\(484\) −30.8337 + 19.4190i −1.40153 + 0.882682i
\(485\) −12.0128 −0.545472
\(486\) 27.1855 + 3.11925i 1.23316 + 0.141492i
\(487\) −10.9506 7.95605i −0.496217 0.360523i 0.311353 0.950294i \(-0.399218\pi\)
−0.807570 + 0.589771i \(0.799218\pi\)
\(488\) −29.3385 6.82238i −1.32809 0.308835i
\(489\) −21.2626 + 31.0956i −0.961530 + 1.40619i
\(490\) 5.18623 + 4.75988i 0.234290 + 0.215029i
\(491\) −0.340500 0.350366i −0.0153665 0.0158118i 0.709405 0.704801i \(-0.248964\pi\)
−0.724771 + 0.688989i \(0.758055\pi\)
\(492\) 35.3616 + 12.6170i 1.59422 + 0.568818i
\(493\) 5.66890 + 17.4471i 0.255315 + 0.785777i
\(494\) 6.99953 8.07789i 0.314924 0.363441i
\(495\) −0.438362 3.98139i −0.0197029 0.178950i
\(496\) −1.56903 1.81075i −0.0704514 0.0813052i
\(497\) 11.3593 18.8372i 0.509532 0.844964i
\(498\) 12.2082 + 15.8319i 0.547062 + 0.709442i
\(499\) −13.8662 + 4.94747i −0.620739 + 0.221479i −0.627648 0.778497i \(-0.715982\pi\)
0.00690969 + 0.999976i \(0.497801\pi\)
\(500\) 2.97277 + 1.46161i 0.132946 + 0.0653653i
\(501\) −4.63120 + 3.78691i −0.206907 + 0.169187i
\(502\) 2.50256 + 12.3506i 0.111695 + 0.551235i
\(503\) 6.32404 + 0.361621i 0.281975 + 0.0161239i 0.197504 0.980302i \(-0.436716\pi\)
0.0844707 + 0.996426i \(0.473080\pi\)
\(504\) 5.34750 4.90789i 0.238196 0.218615i
\(505\) −2.21498 15.4055i −0.0985652 0.685536i
\(506\) 66.5993 9.26450i 2.96070 0.411857i
\(507\) −3.65114 + 25.3942i −0.162153 + 1.12780i
\(508\) 10.5980 + 15.4990i 0.470209 + 0.687659i
\(509\) 11.6174 + 29.8390i 0.514931 + 1.32259i 0.914017 + 0.405675i \(0.132964\pi\)
−0.399087 + 0.916913i \(0.630673\pi\)
\(510\) 14.1113 18.2998i 0.624858 0.810330i
\(511\) −1.70675 + 5.25285i −0.0755023 + 0.232372i
\(512\) −2.03275 3.37093i −0.0898356 0.148976i
\(513\) 8.81028 22.6290i 0.388983 0.999096i
\(514\) −19.9764 + 4.64532i −0.881122 + 0.204896i
\(515\) −2.38051 1.00601i −0.104898 0.0443302i
\(516\) −50.0773 32.1827i −2.20453 1.41677i
\(517\) −8.15306 + 1.61320i −0.358571 + 0.0709484i
\(518\) 23.9477 15.3902i 1.05220 0.676208i
\(519\) 17.4557 3.02083i 0.766221 0.132600i
\(520\) 0.181777 + 2.11640i 0.00797147 + 0.0928101i
\(521\) 1.85485 21.5957i 0.0812626 0.946123i −0.836232 0.548375i \(-0.815247\pi\)
0.917495 0.397748i \(-0.130208\pi\)
\(522\) 10.2949 + 1.78160i 0.450595 + 0.0779786i
\(523\) −4.89876 + 2.07023i −0.214208 + 0.0905250i −0.493734 0.869613i \(-0.664368\pi\)
0.279526 + 0.960138i \(0.409823\pi\)
\(524\) 23.7925 17.2863i 1.03938 0.755154i
\(525\) −3.54803 + 2.00366i −0.154849 + 0.0874471i
\(526\) −0.431814 15.1155i −0.0188280 0.659066i
\(527\) 32.2532 9.47039i 1.40497 0.412537i
\(528\) −1.50869 + 1.82790i −0.0656572 + 0.0795493i
\(529\) −52.1653 15.3171i −2.26805 0.665961i
\(530\) 4.80716 18.2883i 0.208810 0.794395i
\(531\) −1.42564 + 7.03582i −0.0618676 + 0.305329i
\(532\) −20.2832 38.4409i −0.879386 1.66662i
\(533\) 0.110774 3.87760i 0.00479817 0.167958i
\(534\) 17.2639 + 65.6787i 0.747082 + 2.84219i
\(535\) 11.1022 0.634849i 0.479992 0.0274469i
\(536\) 14.8715 15.3024i 0.642351 0.660964i
\(537\) −1.83156 + 0.900520i −0.0790379 + 0.0388603i
\(538\) 5.20874 11.4056i 0.224565 0.491728i
\(539\) 9.45581 3.63171i 0.407290 0.156429i
\(540\) 5.05934 + 11.0784i 0.217719 + 0.476739i
\(541\) 30.4505 + 24.8993i 1.30917 + 1.07050i 0.992535 + 0.121957i \(0.0389169\pi\)
0.316636 + 0.948547i \(0.397447\pi\)
\(542\) −10.5887 + 20.0677i −0.454822 + 0.861984i
\(543\) 28.4365 + 16.0588i 1.22033 + 0.689151i
\(544\) 25.4838 2.92399i 1.09261 0.125365i
\(545\) 4.07255 0.467281i 0.174449 0.0200161i
\(546\) −5.74155 3.24240i −0.245716 0.138762i
\(547\) −14.6131 + 27.6950i −0.624813 + 1.18415i 0.344608 + 0.938747i \(0.388012\pi\)
−0.969421 + 0.245405i \(0.921079\pi\)
\(548\) 0.442566 + 0.361885i 0.0189055 + 0.0154589i
\(549\) −4.99464 10.9367i −0.213166 0.466769i
\(550\) 6.07505 4.64036i 0.259041 0.197866i
\(551\) 10.2986 22.5508i 0.438736 0.960698i
\(552\) 48.9884 24.0860i 2.08508 1.02517i
\(553\) 8.92888 9.18760i 0.379695 0.390697i
\(554\) −30.1356 + 1.72321i −1.28034 + 0.0732123i
\(555\) −3.24216 12.3345i −0.137622 0.523569i
\(556\) −0.819914 + 28.7007i −0.0347721 + 1.21718i
\(557\) −11.6090 22.0015i −0.491889 0.932233i −0.997581 0.0695186i \(-0.977854\pi\)
0.505692 0.862714i \(-0.331237\pi\)
\(558\) 3.80191 18.7632i 0.160948 0.794309i
\(559\) −1.56354 + 5.94832i −0.0661307 + 0.251587i
\(560\) 0.663994 + 0.194966i 0.0280589 + 0.00823883i
\(561\) −14.5346 29.9070i −0.613653 1.26268i
\(562\) −2.21595 + 0.650662i −0.0934743 + 0.0274465i
\(563\) −0.101535 3.55420i −0.00427921 0.149792i −0.998922 0.0464201i \(-0.985219\pi\)
0.994643 0.103372i \(-0.0329631\pi\)
\(564\) −14.8270 + 8.37319i −0.624329 + 0.352575i
\(565\) −13.8902 + 10.0918i −0.584364 + 0.424565i
\(566\) −5.21762 + 2.20499i −0.219313 + 0.0926824i
\(567\) −21.8528 3.78178i −0.917732 0.158820i
\(568\) −2.86712 + 33.3812i −0.120302 + 1.40065i
\(569\) −2.76455 32.1871i −0.115896 1.34935i −0.791085 0.611707i \(-0.790483\pi\)
0.675189 0.737645i \(-0.264062\pi\)
\(570\) −30.7714 + 5.32521i −1.28887 + 0.223048i
\(571\) −31.4986 + 20.2429i −1.31818 + 0.847140i −0.995065 0.0992216i \(-0.968365\pi\)
−0.323110 + 0.946361i \(0.604728\pi\)
\(572\) 7.17517 + 2.83145i 0.300009 + 0.118389i
\(573\) 7.03028 + 4.51809i 0.293694 + 0.188746i
\(574\) −23.3025 9.84771i −0.972627 0.411036i
\(575\) −8.56729 + 1.99224i −0.357281 + 0.0830821i
\(576\) 5.60551 14.3976i 0.233563 0.599901i
\(577\) −23.2046 38.4805i −0.966020 1.60196i −0.785932 0.618314i \(-0.787816\pi\)
−0.180088 0.983650i \(-0.557638\pi\)
\(578\) 4.90665 15.1011i 0.204090 0.628124i
\(579\) −3.00069 + 3.89137i −0.124704 + 0.161720i
\(580\) 4.51099 + 11.5864i 0.187309 + 0.481098i
\(581\) −4.74107 6.93360i −0.196693 0.287654i
\(582\) −8.08297 + 56.2183i −0.335050 + 2.33032i
\(583\) −20.4819 17.9125i −0.848272 0.741859i
\(584\) −1.19721 8.32680i −0.0495410 0.344565i
\(585\) −0.624678 + 0.573324i −0.0258272 + 0.0237040i
\(586\) 14.3625 + 0.821277i 0.593309 + 0.0339266i
\(587\) −5.02119 24.7805i −0.207247 1.02280i −0.939704 0.341989i \(-0.888899\pi\)
0.732457 0.680813i \(-0.238373\pi\)
\(588\) 16.0657 13.1368i 0.662538 0.541754i
\(589\) −40.7658 20.0432i −1.67973 0.825866i
\(590\) −12.9042 + 4.60422i −0.531259 + 0.189553i
\(591\) −15.8126 20.5061i −0.650443 0.843509i
\(592\) −1.11851 + 1.85484i −0.0459704 + 0.0762333i
\(593\) 24.7170 + 28.5250i 1.01501 + 1.17138i 0.985127 + 0.171827i \(0.0549672\pi\)
0.0298803 + 0.999553i \(0.490487\pi\)
\(594\) 28.0898 + 0.931195i 1.15254 + 0.0382074i
\(595\) −6.35800 + 7.33752i −0.260653 + 0.300809i
\(596\) −2.40464 7.40072i −0.0984979 0.303145i
\(597\) 39.7067 + 14.1673i 1.62509 + 0.579830i
\(598\) −9.92008 10.2075i −0.405662 0.417417i
\(599\) −20.4744 18.7912i −0.836561 0.767789i 0.138350 0.990383i \(-0.455820\pi\)
−0.974911 + 0.222595i \(0.928547\pi\)
\(600\) 3.50307 5.12307i 0.143012 0.209149i
\(601\) 1.37669 + 0.320135i 0.0561562 + 0.0130586i 0.254481 0.967078i \(-0.418095\pi\)
−0.198325 + 0.980136i \(0.563550\pi\)
\(602\) 32.4492 + 23.5757i 1.32253 + 0.960873i
\(603\) 8.46192 + 0.970915i 0.344596 + 0.0395387i
\(604\) −62.8147 −2.55589
\(605\) −2.08568 10.8005i −0.0847951 0.439101i
\(606\) −73.5863 −2.98924
\(607\) −23.2488 2.66756i −0.943641 0.108273i −0.371505 0.928431i \(-0.621158\pi\)
−0.572137 + 0.820158i \(0.693885\pi\)
\(608\) −28.0441 20.3753i −1.13734 0.826326i
\(609\) −14.8963 3.46399i −0.603629 0.140368i
\(610\) 12.9522 18.9420i 0.524419 0.766939i
\(611\) 1.29618 + 1.18962i 0.0524378 + 0.0481270i
\(612\) −13.6277 14.0226i −0.550867 0.566829i
\(613\) −42.7334 15.2473i −1.72599 0.615831i −0.728393 0.685160i \(-0.759732\pi\)
−0.997594 + 0.0693292i \(0.977914\pi\)
\(614\) 1.55281 + 4.77905i 0.0626662 + 0.192867i
\(615\) −7.42207 + 8.56553i −0.299287 + 0.345395i
\(616\) 13.5454 14.6237i 0.545761 0.589207i
\(617\) 9.84014 + 11.3561i 0.396149 + 0.457181i 0.918424 0.395596i \(-0.129462\pi\)
−0.522275 + 0.852777i \(0.674917\pi\)
\(618\) −6.30978 + 10.4636i −0.253817 + 0.420907i
\(619\) −0.181970 0.235983i −0.00731400 0.00948497i 0.788231 0.615379i \(-0.210997\pi\)
−0.795545 + 0.605894i \(0.792815\pi\)
\(620\) 21.4580 7.65619i 0.861773 0.307480i
\(621\) −29.0202 14.2683i −1.16454 0.572565i
\(622\) 46.0588 37.6621i 1.84679 1.51011i
\(623\) −5.66613 27.9635i −0.227009 1.12033i
\(624\) 0.500896 + 0.0286423i 0.0200519 + 0.00114661i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −0.211657 1.47211i −0.00845953 0.0588373i
\(627\) −12.8573 + 43.0575i −0.513469 + 1.71955i
\(628\) 11.4338 79.5241i 0.456260 3.17336i
\(629\) −17.1524 25.0846i −0.683910 1.00019i
\(630\) 2.00614 + 5.15273i 0.0799265 + 0.205290i
\(631\) −20.3799 + 26.4291i −0.811311 + 1.05213i 0.186262 + 0.982500i \(0.440363\pi\)
−0.997573 + 0.0696264i \(0.977819\pi\)
\(632\) −6.03001 + 18.5585i −0.239861 + 0.738216i
\(633\) −16.0182 26.5633i −0.636668 1.05579i
\(634\) 16.1531 41.4889i 0.641521 1.64773i
\(635\) −5.52066 + 1.28377i −0.219081 + 0.0509450i
\(636\) −51.3502 21.7008i −2.03617 0.860492i
\(637\) −1.80382 1.15925i −0.0714701 0.0459310i
\(638\) 28.5759 + 2.58624i 1.13133 + 0.102390i
\(639\) −11.2505 + 7.23028i −0.445065 + 0.286026i
\(640\) 18.7131 3.23844i 0.739702 0.128010i
\(641\) 0.384790 + 4.48003i 0.0151983 + 0.176951i 0.999995 + 0.00323837i \(0.00103081\pi\)
−0.984796 + 0.173712i \(0.944424\pi\)
\(642\) 4.49929 52.3843i 0.177573 2.06744i
\(643\) 47.7674 + 8.26647i 1.88376 + 0.325998i 0.991973 0.126454i \(-0.0403595\pi\)
0.891789 + 0.452451i \(0.149450\pi\)
\(644\) −53.3148 + 22.5310i −2.10090 + 0.887846i
\(645\) 14.5377 10.5622i 0.572421 0.415888i
\(646\) −64.7922 + 36.5898i −2.54922 + 1.43961i
\(647\) −0.438094 15.3353i −0.0172233 0.602893i −0.961667 0.274220i \(-0.911580\pi\)
0.944444 0.328673i \(-0.106601\pi\)
\(648\) 32.4108 9.51667i 1.27322 0.373850i
\(649\) −2.33698 + 19.5759i −0.0917344 + 0.768420i
\(650\) −1.55269 0.455910i −0.0609014 0.0178823i
\(651\) −7.12419 + 27.1032i −0.279219 + 1.06226i
\(652\) −12.0812 + 59.6230i −0.473136 + 2.33502i
\(653\) −21.3634 40.4881i −0.836014 1.58442i −0.811228 0.584730i \(-0.801201\pi\)
−0.0247855 0.999693i \(-0.507890\pi\)
\(654\) 0.553455 19.3734i 0.0216418 0.757561i
\(655\) 2.25690 + 8.58615i 0.0881845 + 0.335489i
\(656\) 1.92174 0.109889i 0.0750312 0.00429044i
\(657\) 2.34026 2.40807i 0.0913021 0.0939476i
\(658\) 10.2962 5.06232i 0.401389 0.197350i
\(659\) 11.3647 24.8852i 0.442706 0.969390i −0.548388 0.836224i \(-0.684758\pi\)
0.991094 0.133166i \(-0.0425144\pi\)
\(660\) −10.9922 19.6745i −0.427870 0.765827i
\(661\) −1.44724 3.16902i −0.0562913 0.123261i 0.879396 0.476091i \(-0.157947\pi\)
−0.935687 + 0.352830i \(0.885219\pi\)
\(662\) −59.0935 48.3205i −2.29673 1.87803i
\(663\) −3.28483 + 6.22545i −0.127572 + 0.241776i
\(664\) 11.1399 + 6.29098i 0.432311 + 0.244137i
\(665\) 13.0350 1.49563i 0.505476 0.0579980i
\(666\) −17.1940 + 1.97283i −0.666254 + 0.0764455i
\(667\) −28.7468 16.2341i −1.11308 0.628586i
\(668\) −4.50853 + 8.54461i −0.174440 + 0.330601i
\(669\) −25.2337 20.6335i −0.975592 0.797738i
\(670\) 6.75293 + 14.7869i 0.260889 + 0.571266i
\(671\) −16.1047 28.8252i −0.621716 1.11278i
\(672\) −8.88351 + 19.4522i −0.342689 + 0.750384i
\(673\) 32.8627 16.1575i 1.26676 0.622826i 0.320815 0.947142i \(-0.396043\pi\)
0.945949 + 0.324316i \(0.105134\pi\)
\(674\) −35.5652 + 36.5957i −1.36992 + 1.40961i
\(675\) −3.67051 + 0.209887i −0.141278 + 0.00807857i
\(676\) 10.5327 + 40.0705i 0.405103 + 1.54117i
\(677\) 0.718300 25.1438i 0.0276065 0.966353i −0.861254 0.508175i \(-0.830320\pi\)
0.888860 0.458178i \(-0.151498\pi\)
\(678\) 37.8822 + 71.7947i 1.45486 + 2.75726i
\(679\) 4.73888 23.3873i 0.181861 0.897521i
\(680\) 3.75934 14.3020i 0.144164 0.548457i
\(681\) −14.5480 4.27169i −0.557482 0.163691i
\(682\) 6.23227 52.2050i 0.238646 1.99903i
\(683\) 12.0482 3.53768i 0.461013 0.135366i −0.0429754 0.999076i \(-0.513684\pi\)
0.503988 + 0.863711i \(0.331866\pi\)
\(684\) 0.754583 + 26.4139i 0.0288522 + 1.00996i
\(685\) −0.150270 + 0.0848615i −0.00574153 + 0.00324239i
\(686\) −37.2417 + 27.0577i −1.42190 + 1.03307i
\(687\) 20.4829 8.65614i 0.781471 0.330252i
\(688\) −3.00716 0.520409i −0.114647 0.0198404i
\(689\) −0.492901 + 5.73874i −0.0187780 + 0.218628i
\(690\) 3.55880 + 41.4344i 0.135481 + 1.57738i
\(691\) 16.7933 2.90619i 0.638847 0.110557i 0.158110 0.987422i \(-0.449460\pi\)
0.480737 + 0.876865i \(0.340369\pi\)
\(692\) 24.0673 15.4671i 0.914900 0.587971i
\(693\) 7.92417 + 0.717171i 0.301014 + 0.0272431i
\(694\) 40.4513 + 25.9965i 1.53551 + 0.986814i
\(695\) −7.98384 3.37400i −0.302844 0.127983i
\(696\) 22.6888 5.27606i 0.860017 0.199988i
\(697\) −9.79780 + 25.1654i −0.371118 + 0.953209i
\(698\) −4.64058 7.69554i −0.175649 0.291280i
\(699\) 14.8947 45.8412i 0.563370 1.73387i
\(700\) −4.01829 + 5.21101i −0.151877 + 0.196958i
\(701\) −6.64807 17.0754i −0.251094 0.644931i 0.748745 0.662858i \(-0.230657\pi\)
−0.999839 + 0.0179277i \(0.994293\pi\)
\(702\) −3.35813 4.91111i −0.126744 0.185358i
\(703\) −5.84433 + 40.6482i −0.220423 + 1.53308i
\(704\) 12.1404 40.6568i 0.457558 1.53231i
\(705\) −0.731536 5.08794i −0.0275512 0.191623i
\(706\) 24.0529 22.0755i 0.905242 0.830824i
\(707\) 30.8663 + 1.76500i 1.16085 + 0.0663796i
\(708\) 8.02147 + 39.5875i 0.301465 + 1.48779i
\(709\) 26.4777 21.6507i 0.994392 0.813111i 0.0119976 0.999928i \(-0.496181\pi\)
0.982395 + 0.186818i \(0.0598173\pi\)
\(710\) −22.9051 11.2617i −0.859614 0.422644i
\(711\) −7.33607 + 2.61750i −0.275124 + 0.0981640i
\(712\) 26.5370 + 34.4138i 0.994516 + 1.28971i
\(713\) −31.2390 + 51.8040i −1.16991 + 1.94008i
\(714\) 30.0606 + 34.6918i 1.12499 + 1.29831i
\(715\) −1.58233 + 1.70830i −0.0591759 + 0.0638868i
\(716\) −2.15844 + 2.49098i −0.0806648 + 0.0930921i
\(717\) 4.13809 + 12.7357i 0.154540 + 0.475624i
\(718\) 60.0827 + 21.4375i 2.24227 + 0.800039i
\(719\) 16.2745 + 16.7461i 0.606938 + 0.624524i 0.949046 0.315136i \(-0.102050\pi\)
−0.342109 + 0.939660i \(0.611141\pi\)
\(720\) −0.309969 0.284487i −0.0115519 0.0106022i
\(721\) 2.89766 4.23769i 0.107914 0.157820i
\(722\) 55.2882 + 12.8567i 2.05761 + 0.478477i
\(723\) −3.89669 2.83111i −0.144920 0.105290i
\(724\) 52.3961 + 6.01190i 1.94729 + 0.223430i
\(725\) −3.75335 −0.139396
\(726\) −51.9482 + 2.49349i −1.92798 + 0.0925422i
\(727\) −9.09169 −0.337192 −0.168596 0.985685i \(-0.553923\pi\)
−0.168596 + 0.985685i \(0.553923\pi\)
\(728\) −4.19205 0.480993i −0.155368 0.0178268i
\(729\) −7.39536 5.37304i −0.273902 0.199002i
\(730\) 6.24216 + 1.45155i 0.231033 + 0.0537243i
\(731\) 24.1676 35.3440i 0.893872 1.30725i
\(732\) −49.8403 45.7430i −1.84215 1.69071i
\(733\) −2.44393 2.51474i −0.0902686 0.0928842i 0.670492 0.741917i \(-0.266083\pi\)
−0.760761 + 0.649032i \(0.775174\pi\)
\(734\) 43.6099 + 15.5600i 1.60967 + 0.574329i
\(735\) 1.93591 + 5.95811i 0.0714071 + 0.219768i
\(736\) −30.2298 + 34.8870i −1.11428 + 1.28595i
\(737\) 23.3783 + 0.775004i 0.861149 + 0.0285476i
\(738\) 10.0720 + 11.6237i 0.370754 + 0.427873i
\(739\) −4.35570 + 7.22311i −0.160227 + 0.265706i −0.926094 0.377292i \(-0.876855\pi\)
0.765867 + 0.642998i \(0.222310\pi\)
\(740\) −12.5769 16.3100i −0.462336 0.599568i
\(741\) 8.95911 3.19660i 0.329121 0.117430i
\(742\) 33.7086 + 16.5734i 1.23748 + 0.608429i
\(743\) 13.8098 11.2922i 0.506634 0.414272i −0.344846 0.938659i \(-0.612069\pi\)
0.851480 + 0.524387i \(0.175705\pi\)
\(744\) −8.47657 41.8335i −0.310766 1.53369i
\(745\) 2.34522 + 0.134104i 0.0859220 + 0.00491320i
\(746\) −24.2943 + 22.2971i −0.889477 + 0.816355i
\(747\) 0.726754 + 5.05469i 0.0265905 + 0.184941i
\(748\) −40.4219 35.3511i −1.47797 1.29257i
\(749\) −3.14372 + 21.8651i −0.114869 + 0.798932i
\(750\) 2.66869 + 3.90283i 0.0974467 + 0.142511i
\(751\) 18.7874 + 48.2551i 0.685562 + 1.76085i 0.648102 + 0.761554i \(0.275563\pi\)
0.0374602 + 0.999298i \(0.488073\pi\)
\(752\) −0.533093 + 0.691327i −0.0194399 + 0.0252101i
\(753\) −3.46556 + 10.6659i −0.126292 + 0.388687i
\(754\) −3.13650 5.20130i −0.114225 0.189420i
\(755\) 6.87957 17.6700i 0.250373 0.643079i
\(756\) −23.5640 + 5.47958i −0.857016 + 0.199291i
\(757\) 33.7555 + 14.2652i 1.22686 + 0.518477i 0.903822 0.427908i \(-0.140749\pi\)
0.323041 + 0.946385i \(0.395295\pi\)
\(758\) −39.5218 25.3991i −1.43550 0.922537i
\(759\) 55.6635 + 21.9658i 2.02046 + 0.797308i
\(760\) −16.8117 + 10.8042i −0.609824 + 0.391910i
\(761\) −48.7647 + 8.43906i −1.76772 + 0.305916i −0.959236 0.282606i \(-0.908801\pi\)
−0.808482 + 0.588522i \(0.799710\pi\)
\(762\) 2.29325 + 26.6998i 0.0830756 + 0.967232i
\(763\) −0.696831 + 8.11305i −0.0252270 + 0.293712i
\(764\) 13.2982 + 2.30134i 0.481112 + 0.0832597i
\(765\) 5.43714 2.29775i 0.196580 0.0830755i
\(766\) −19.3610 + 14.0666i −0.699541 + 0.508246i
\(767\) 3.63392 2.05217i 0.131213 0.0740995i
\(768\) −1.06531 37.2906i −0.0384409 1.34561i
\(769\) −28.6433 + 8.41043i −1.03290 + 0.303288i −0.753891 0.657000i \(-0.771825\pi\)
−0.279013 + 0.960287i \(0.590007\pi\)
\(770\) 6.63765 + 13.6579i 0.239204 + 0.492196i
\(771\) −17.5130 5.14229i −0.630716 0.185195i
\(772\) −2.01740 + 7.67498i −0.0726078 + 0.276229i
\(773\) 6.48482 32.0039i 0.233243 1.15110i −0.676666 0.736290i