Properties

Label 507.2.t.b.10.5
Level $507$
Weight $2$
Character 507.10
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 10.5
Character \(\chi\) \(=\) 507.10
Dual form 507.2.t.b.355.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31845 - 0.269162i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(-0.174110 - 0.0741814i) q^{4} +(0.381569 - 1.54808i) q^{5} +(1.34455 + 0.0541834i) q^{6} +(1.87281 - 0.888658i) q^{7} +(2.42447 + 1.67349i) q^{8} +(0.948536 - 0.316668i) q^{9} +O(q^{10})\) \(q+(-1.31845 - 0.269162i) q^{2} +(-0.987050 + 0.160411i) q^{3} +(-0.174110 - 0.0741814i) q^{4} +(0.381569 - 1.54808i) q^{5} +(1.34455 + 0.0541834i) q^{6} +(1.87281 - 0.888658i) q^{7} +(2.42447 + 1.67349i) q^{8} +(0.948536 - 0.316668i) q^{9} +(-0.919764 + 1.93836i) q^{10} +(0.329322 - 0.986439i) q^{11} +(0.183755 + 0.0452915i) q^{12} +(-2.35927 + 2.72651i) q^{13} +(-2.70839 + 0.667557i) q^{14} +(-0.128297 + 1.58925i) q^{15} +(-2.48388 - 2.58600i) q^{16} +(0.00216254 + 0.00455745i) q^{17} +(-1.33583 + 0.162199i) q^{18} +(6.24636 + 3.60634i) q^{19} +(-0.181274 + 0.241232i) q^{20} +(-1.70600 + 1.17757i) q^{21} +(-0.699705 + 1.21192i) q^{22} +(-3.22724 - 5.58974i) q^{23} +(-2.66152 - 1.26291i) q^{24} +(2.17631 + 1.14221i) q^{25} +(3.84444 - 2.95973i) q^{26} +(-0.885456 + 0.464723i) q^{27} +(-0.391996 + 0.0157969i) q^{28} +(1.80670 - 8.84979i) q^{29} +(0.596918 - 2.06080i) q^{30} +(-2.25864 - 4.30348i) q^{31} +(-0.570205 - 0.901707i) q^{32} +(-0.166821 + 1.02649i) q^{33} +(-0.00162449 - 0.00659083i) q^{34} +(-0.661114 - 3.23835i) q^{35} +(-0.188641 - 0.0152286i) q^{36} +(2.59878 - 4.10964i) q^{37} +(-7.26479 - 6.43604i) q^{38} +(1.89135 - 3.06966i) q^{39} +(3.51580 - 3.11473i) q^{40} +(-0.616945 - 3.79622i) q^{41} +(2.56623 - 1.09337i) q^{42} +(0.178343 - 0.112777i) q^{43} +(-0.130514 + 0.147319i) q^{44} +(-0.128297 - 1.58925i) q^{45} +(2.75039 + 8.23842i) q^{46} +(1.11215 + 0.135039i) q^{47} +(2.86654 + 2.15407i) q^{48} +(-1.70942 + 2.09366i) q^{49} +(-2.56190 - 2.09173i) q^{50} +(-0.00286560 - 0.00415154i) q^{51} +(0.613028 - 0.299699i) q^{52} +(5.40943 - 7.83692i) q^{53} +(1.29251 - 0.374380i) q^{54} +(-1.40143 - 0.886212i) q^{55} +(6.02772 + 0.979600i) q^{56} +(-6.74396 - 2.55765i) q^{57} +(-4.76406 + 11.1817i) q^{58} +(-3.57811 - 3.43682i) q^{59} +(0.140230 - 0.267186i) q^{60} +(-1.23344 + 0.0995738i) q^{61} +(1.81956 + 6.28184i) q^{62} +(1.49502 - 1.43598i) q^{63} +(3.05207 + 8.04766i) q^{64} +(3.32065 + 4.69270i) q^{65} +(0.496238 - 1.30847i) q^{66} +(0.760602 + 1.78520i) q^{67} +(-3.84416e-5 - 0.000953919i) q^{68} +(4.08210 + 4.99967i) q^{69} +4.44753i q^{70} +(-2.24174 + 1.83032i) q^{71} +(2.82964 + 0.819614i) q^{72} +(-6.75398 - 7.62367i) q^{73} +(-4.53250 + 4.71884i) q^{74} +(-2.33135 - 0.778319i) q^{75} +(-0.820031 - 1.09126i) q^{76} +(-0.259851 - 2.14006i) q^{77} +(-3.31988 + 3.53809i) q^{78} +(1.93278 - 15.9179i) q^{79} +(-4.95112 + 2.85853i) q^{80} +(0.799443 - 0.600742i) q^{81} +(-0.208391 + 5.17116i) q^{82} +(-12.4677 + 4.72839i) q^{83} +(0.384386 - 0.0784730i) q^{84} +(0.00788048 - 0.00160881i) q^{85} +(-0.265490 + 0.100687i) q^{86} +(-0.363695 + 9.02500i) q^{87} +(2.44922 - 1.84047i) q^{88} +(6.98752 - 4.03425i) q^{89} +(-0.258613 + 2.12987i) q^{90} +(-1.99552 + 7.20281i) q^{91} +(0.147240 + 1.21263i) q^{92} +(2.91972 + 3.88544i) q^{93} +(-1.42996 - 0.477389i) q^{94} +(7.96633 - 8.29382i) q^{95} +(0.707465 + 0.798563i) q^{96} +(10.6546 + 3.08613i) q^{97} +(2.81732 - 2.30027i) q^{98} -1.03996i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{78}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31845 0.269162i −0.932281 0.190327i −0.290203 0.956965i \(-0.593723\pi\)
−0.642079 + 0.766639i \(0.721928\pi\)
\(3\) −0.987050 + 0.160411i −0.569874 + 0.0926135i
\(4\) −0.174110 0.0741814i −0.0870550 0.0370907i
\(5\) 0.381569 1.54808i 0.170643 0.692325i −0.821817 0.569752i \(-0.807039\pi\)
0.992460 0.122573i \(-0.0391145\pi\)
\(6\) 1.34455 + 0.0541834i 0.548910 + 0.0221203i
\(7\) 1.87281 0.888658i 0.707855 0.335881i −0.0405005 0.999180i \(-0.512895\pi\)
0.748355 + 0.663298i \(0.230844\pi\)
\(8\) 2.42447 + 1.67349i 0.857179 + 0.591668i
\(9\) 0.948536 0.316668i 0.316179 0.105556i
\(10\) −0.919764 + 1.93836i −0.290855 + 0.612964i
\(11\) 0.329322 0.986439i 0.0992942 0.297423i −0.887159 0.461463i \(-0.847325\pi\)
0.986454 + 0.164041i \(0.0524528\pi\)
\(12\) 0.183755 + 0.0452915i 0.0530455 + 0.0130745i
\(13\) −2.35927 + 2.72651i −0.654343 + 0.756198i
\(14\) −2.70839 + 0.667557i −0.723847 + 0.178412i
\(15\) −0.128297 + 1.58925i −0.0331262 + 0.410341i
\(16\) −2.48388 2.58600i −0.620971 0.646499i
\(17\) 0.00216254 + 0.00455745i 0.000524493 + 0.00110534i 0.903713 0.428140i \(-0.140831\pi\)
−0.903188 + 0.429245i \(0.858780\pi\)
\(18\) −1.33583 + 0.162199i −0.314858 + 0.0382307i
\(19\) 6.24636 + 3.60634i 1.43301 + 0.827350i 0.997349 0.0727600i \(-0.0231807\pi\)
0.435663 + 0.900110i \(0.356514\pi\)
\(20\) −0.181274 + 0.241232i −0.0405341 + 0.0539411i
\(21\) −1.70600 + 1.17757i −0.372281 + 0.256967i
\(22\) −0.699705 + 1.21192i −0.149178 + 0.258383i
\(23\) −3.22724 5.58974i −0.672926 1.16554i −0.977071 0.212916i \(-0.931704\pi\)
0.304145 0.952626i \(-0.401629\pi\)
\(24\) −2.66152 1.26291i −0.543280 0.257790i
\(25\) 2.17631 + 1.14221i 0.435262 + 0.228443i
\(26\) 3.84444 2.95973i 0.753956 0.580450i
\(27\) −0.885456 + 0.464723i −0.170406 + 0.0894360i
\(28\) −0.391996 + 0.0157969i −0.0740804 + 0.00298534i
\(29\) 1.80670 8.84979i 0.335495 1.64337i −0.365945 0.930637i \(-0.619254\pi\)
0.701440 0.712729i \(-0.252541\pi\)
\(30\) 0.596918 2.06080i 0.108982 0.376249i
\(31\) −2.25864 4.30348i −0.405664 0.772927i 0.593835 0.804587i \(-0.297613\pi\)
−0.999499 + 0.0316594i \(0.989921\pi\)
\(32\) −0.570205 0.901707i −0.100799 0.159401i
\(33\) −0.166821 + 1.02649i −0.0290398 + 0.178689i
\(34\) −0.00162449 0.00659083i −0.000278598 0.00113032i
\(35\) −0.661114 3.23835i −0.111749 0.547381i
\(36\) −0.188641 0.0152286i −0.0314401 0.00253811i
\(37\) 2.59878 4.10964i 0.427236 0.675620i −0.561127 0.827729i \(-0.689632\pi\)
0.988364 + 0.152109i \(0.0486066\pi\)
\(38\) −7.26479 6.43604i −1.17850 1.04406i
\(39\) 1.89135 3.06966i 0.302859 0.491538i
\(40\) 3.51580 3.11473i 0.555897 0.492482i
\(41\) −0.616945 3.79622i −0.0963507 0.592870i −0.989661 0.143429i \(-0.954187\pi\)
0.893310 0.449441i \(-0.148377\pi\)
\(42\) 2.56623 1.09337i 0.395978 0.168710i
\(43\) 0.178343 0.112777i 0.0271970 0.0171983i −0.520798 0.853680i \(-0.674366\pi\)
0.547995 + 0.836482i \(0.315391\pi\)
\(44\) −0.130514 + 0.147319i −0.0196757 + 0.0222092i
\(45\) −0.128297 1.58925i −0.0191254 0.236911i
\(46\) 2.75039 + 8.23842i 0.405523 + 1.21469i
\(47\) 1.11215 + 0.135039i 0.162223 + 0.0196975i 0.201245 0.979541i \(-0.435501\pi\)
−0.0390221 + 0.999238i \(0.512424\pi\)
\(48\) 2.86654 + 2.15407i 0.413750 + 0.310913i
\(49\) −1.70942 + 2.09366i −0.244203 + 0.299095i
\(50\) −2.56190 2.09173i −0.362307 0.295815i
\(51\) −0.00286560 0.00415154i −0.000401264 0.000581332i
\(52\) 0.613028 0.299699i 0.0850117 0.0415608i
\(53\) 5.40943 7.83692i 0.743043 1.07648i −0.251052 0.967974i \(-0.580777\pi\)
0.994095 0.108510i \(-0.0346080\pi\)
\(54\) 1.29251 0.374380i 0.175888 0.0509467i
\(55\) −1.40143 0.886212i −0.188969 0.119497i
\(56\) 6.02772 + 0.979600i 0.805488 + 0.130904i
\(57\) −6.74396 2.55765i −0.893260 0.338769i
\(58\) −4.76406 + 11.1817i −0.625552 + 1.46823i
\(59\) −3.57811 3.43682i −0.465830 0.447436i 0.422690 0.906274i \(-0.361086\pi\)
−0.888519 + 0.458839i \(0.848265\pi\)
\(60\) 0.140230 0.267186i 0.0181036 0.0344936i
\(61\) −1.23344 + 0.0995738i −0.157926 + 0.0127491i −0.159177 0.987250i \(-0.550884\pi\)
0.00125059 + 0.999999i \(0.499602\pi\)
\(62\) 1.81956 + 6.28184i 0.231084 + 0.797794i
\(63\) 1.49502 1.43598i 0.188354 0.180917i
\(64\) 3.05207 + 8.04766i 0.381509 + 1.00596i
\(65\) 3.32065 + 4.69270i 0.411876 + 0.582057i
\(66\) 0.496238 1.30847i 0.0610826 0.161062i
\(67\) 0.760602 + 1.78520i 0.0929223 + 0.218097i 0.959955 0.280155i \(-0.0903859\pi\)
−0.867033 + 0.498252i \(0.833976\pi\)
\(68\) −3.84416e−5 0 0.000953919i −4.66173e−6 0 0.000115680i
\(69\) 4.08210 + 4.99967i 0.491428 + 0.601890i
\(70\) 4.44753i 0.531582i
\(71\) −2.24174 + 1.83032i −0.266045 + 0.217219i −0.756073 0.654488i \(-0.772884\pi\)
0.490027 + 0.871707i \(0.336987\pi\)
\(72\) 2.82964 + 0.819614i 0.333476 + 0.0965924i
\(73\) −6.75398 7.62367i −0.790493 0.892283i 0.205774 0.978599i \(-0.434029\pi\)
−0.996268 + 0.0863168i \(0.972490\pi\)
\(74\) −4.53250 + 4.71884i −0.526893 + 0.548554i
\(75\) −2.33135 0.778319i −0.269201 0.0898725i
\(76\) −0.820031 1.09126i −0.0940640 0.125176i
\(77\) −0.259851 2.14006i −0.0296128 0.243883i
\(78\) −3.31988 + 3.53809i −0.375902 + 0.400610i
\(79\) 1.93278 15.9179i 0.217455 1.79090i −0.319802 0.947484i \(-0.603616\pi\)
0.537257 0.843419i \(-0.319461\pi\)
\(80\) −4.95112 + 2.85853i −0.553552 + 0.319593i
\(81\) 0.799443 0.600742i 0.0888270 0.0667491i
\(82\) −0.208391 + 5.17116i −0.0230129 + 0.571059i
\(83\) −12.4677 + 4.72839i −1.36851 + 0.519008i −0.925922 0.377715i \(-0.876710\pi\)
−0.442591 + 0.896724i \(0.645941\pi\)
\(84\) 0.384386 0.0784730i 0.0419400 0.00856211i
\(85\) 0.00788048 0.00160881i 0.000854758 0.000174500i
\(86\) −0.265490 + 0.100687i −0.0286285 + 0.0108574i
\(87\) −0.363695 + 9.02500i −0.0389922 + 0.967582i
\(88\) 2.44922 1.84047i 0.261088 0.196195i
\(89\) 6.98752 4.03425i 0.740676 0.427629i −0.0816391 0.996662i \(-0.526015\pi\)
0.822315 + 0.569032i \(0.192682\pi\)
\(90\) −0.258613 + 2.12987i −0.0272602 + 0.224508i
\(91\) −1.99552 + 7.20281i −0.209187 + 0.755060i
\(92\) 0.147240 + 1.21263i 0.0153508 + 0.126426i
\(93\) 2.91972 + 3.88544i 0.302761 + 0.402901i
\(94\) −1.42996 0.477389i −0.147489 0.0492390i
\(95\) 7.96633 8.29382i 0.817328 0.850928i
\(96\) 0.707465 + 0.798563i 0.0722054 + 0.0815030i
\(97\) 10.6546 + 3.08613i 1.08181 + 0.313349i 0.770813 0.637062i \(-0.219850\pi\)
0.310995 + 0.950411i \(0.399338\pi\)
\(98\) 2.81732 2.30027i 0.284592 0.232362i
\(99\) 1.03996i 0.104520i
\(100\) −0.294186 0.360313i −0.0294186 0.0360313i
\(101\) 0.155040 + 3.84727i 0.0154270 + 0.382817i 0.988398 + 0.151888i \(0.0485355\pi\)
−0.972971 + 0.230929i \(0.925824\pi\)
\(102\) 0.00266070 + 0.00624489i 0.000263448 + 0.000618336i
\(103\) −6.35437 + 16.7551i −0.626115 + 1.65093i 0.126104 + 0.992017i \(0.459753\pi\)
−0.752219 + 0.658913i \(0.771017\pi\)
\(104\) −10.2827 + 2.66213i −1.00831 + 0.261043i
\(105\) 1.17202 + 3.09036i 0.114377 + 0.301589i
\(106\) −9.24145 + 8.87653i −0.897609 + 0.862165i
\(107\) 0.383795 + 1.32501i 0.0371028 + 0.128094i 0.976932 0.213551i \(-0.0685031\pi\)
−0.939829 + 0.341645i \(0.889016\pi\)
\(108\) 0.188641 0.0152286i 0.0181520 0.00146538i
\(109\) 3.56386 6.79036i 0.341356 0.650399i −0.652898 0.757445i \(-0.726447\pi\)
0.994254 + 0.107047i \(0.0341395\pi\)
\(110\) 1.60918 + 1.54564i 0.153429 + 0.147371i
\(111\) −1.90589 + 4.47329i −0.180899 + 0.424586i
\(112\) −6.94990 2.63575i −0.656704 0.249055i
\(113\) −3.12642 0.508093i −0.294109 0.0477974i 0.0115664 0.999933i \(-0.496318\pi\)
−0.305676 + 0.952136i \(0.598882\pi\)
\(114\) 8.20312 + 5.18734i 0.768293 + 0.485839i
\(115\) −9.88481 + 2.86317i −0.921763 + 0.266992i
\(116\) −0.971054 + 1.40681i −0.0901601 + 0.130619i
\(117\) −1.37445 + 3.33330i −0.127068 + 0.308164i
\(118\) 3.79247 + 5.49435i 0.349125 + 0.505796i
\(119\) 0.00810003 + 0.00661347i 0.000742529 + 0.000606256i
\(120\) −2.97064 + 3.63837i −0.271181 + 0.332136i
\(121\) 7.92926 + 5.95845i 0.720842 + 0.541678i
\(122\) 1.65303 + 0.200714i 0.149658 + 0.0181718i
\(123\) 1.21791 + 3.64809i 0.109815 + 0.328937i
\(124\) 0.0740140 + 0.916828i 0.00664665 + 0.0823336i
\(125\) 7.88512 8.90046i 0.705267 0.796082i
\(126\) −2.35761 + 1.49086i −0.210033 + 0.132817i
\(127\) −3.10988 + 1.32500i −0.275957 + 0.117574i −0.525512 0.850786i \(-0.676126\pi\)
0.249554 + 0.968361i \(0.419716\pi\)
\(128\) −1.51559 9.32579i −0.133960 0.824291i
\(129\) −0.157942 + 0.139925i −0.0139061 + 0.0123197i
\(130\) −3.11499 7.08086i −0.273203 0.621032i
\(131\) 6.08334 + 5.38937i 0.531504 + 0.470871i 0.885673 0.464310i \(-0.153698\pi\)
−0.354169 + 0.935181i \(0.615236\pi\)
\(132\) 0.105192 0.166348i 0.00915577 0.0144787i
\(133\) 14.9030 + 1.20310i 1.29226 + 0.104322i
\(134\) −0.522303 2.55841i −0.0451201 0.221013i
\(135\) 0.381569 + 1.54808i 0.0328402 + 0.133238i
\(136\) −0.00238384 + 0.0146684i −0.000204413 + 0.00125780i
\(137\) 8.46520 + 13.3866i 0.723231 + 1.14370i 0.983978 + 0.178291i \(0.0570567\pi\)
−0.260747 + 0.965407i \(0.583969\pi\)
\(138\) −4.03631 7.69054i −0.343593 0.654662i
\(139\) 1.44224 4.97918i 0.122329 0.422329i −0.875855 0.482575i \(-0.839702\pi\)
0.998184 + 0.0602466i \(0.0191887\pi\)
\(140\) −0.125119 + 0.612871i −0.0105745 + 0.0517971i
\(141\) −1.11941 + 0.0451105i −0.0942710 + 0.00379899i
\(142\) 3.44826 1.80979i 0.289372 0.151874i
\(143\) 1.91258 + 3.22517i 0.159938 + 0.269702i
\(144\) −3.17496 1.66635i −0.264580 0.138862i
\(145\) −13.0109 6.17373i −1.08049 0.512700i
\(146\) 6.85274 + 11.8693i 0.567137 + 0.982310i
\(147\) 1.35144 2.34076i 0.111465 0.193063i
\(148\) −0.757332 + 0.522748i −0.0622523 + 0.0429697i
\(149\) 12.6163 16.7892i 1.03357 1.37543i 0.109158 0.994024i \(-0.465185\pi\)
0.924409 0.381403i \(-0.124559\pi\)
\(150\) 2.86426 + 1.65368i 0.233866 + 0.135023i
\(151\) −10.9090 + 1.32459i −0.887762 + 0.107794i −0.551697 0.834045i \(-0.686019\pi\)
−0.336065 + 0.941839i \(0.609096\pi\)
\(152\) 9.10892 + 19.1966i 0.738831 + 1.55705i
\(153\) 0.00349445 + 0.00363810i 0.000282509 + 0.000294123i
\(154\) −0.233426 + 2.89150i −0.0188100 + 0.233004i
\(155\) −7.52397 + 1.85449i −0.604340 + 0.148956i
\(156\) −0.557015 + 0.394155i −0.0445969 + 0.0315577i
\(157\) 6.82753 + 1.68283i 0.544896 + 0.134305i 0.502149 0.864781i \(-0.332543\pi\)
0.0427470 + 0.999086i \(0.486389\pi\)
\(158\) −6.83277 + 20.4666i −0.543586 + 1.62824i
\(159\) −4.08225 + 8.60317i −0.323744 + 0.682276i
\(160\) −1.61349 + 0.538663i −0.127558 + 0.0425850i
\(161\) −11.0114 7.60060i −0.867817 0.599011i
\(162\) −1.21572 + 0.576866i −0.0955159 + 0.0453228i
\(163\) 13.4773 + 0.543116i 1.05562 + 0.0425401i 0.562001 0.827137i \(-0.310032\pi\)
0.493622 + 0.869677i \(0.335673\pi\)
\(164\) −0.174192 + 0.706726i −0.0136021 + 0.0551860i
\(165\) 1.52544 + 0.649930i 0.118756 + 0.0505970i
\(166\) 17.7107 2.87828i 1.37462 0.223397i
\(167\) −15.0169 3.06572i −1.16204 0.237232i −0.419960 0.907543i \(-0.637956\pi\)
−0.742081 + 0.670310i \(0.766161\pi\)
\(168\) −6.10680 −0.471150
\(169\) −1.86772 12.8651i −0.143671 0.989626i
\(170\) −0.0108230 −0.000830087
\(171\) 7.06691 + 1.44272i 0.540420 + 0.110328i
\(172\) −0.0394172 + 0.00640592i −0.00300553 + 0.000488447i
\(173\) 17.5094 + 7.46006i 1.33122 + 0.567178i 0.936191 0.351493i \(-0.114326\pi\)
0.395024 + 0.918671i \(0.370736\pi\)
\(174\) 2.90870 11.8011i 0.220508 0.894637i
\(175\) 5.09084 + 0.205154i 0.384832 + 0.0155082i
\(176\) −3.36892 + 1.59857i −0.253942 + 0.120497i
\(177\) 4.08307 + 2.81834i 0.306903 + 0.211840i
\(178\) −10.2985 + 3.43816i −0.771908 + 0.257701i
\(179\) −5.08651 + 10.7196i −0.380183 + 0.801220i 0.619683 + 0.784853i \(0.287261\pi\)
−0.999866 + 0.0163672i \(0.994790\pi\)
\(180\) −0.0955546 + 0.286221i −0.00712222 + 0.0213336i
\(181\) 10.5390 + 2.59763i 0.783359 + 0.193081i 0.610659 0.791894i \(-0.290905\pi\)
0.172700 + 0.984974i \(0.444751\pi\)
\(182\) 4.56970 8.95939i 0.338729 0.664114i
\(183\) 1.20150 0.296143i 0.0888172 0.0218915i
\(184\) 1.53004 18.9529i 0.112796 1.39723i
\(185\) −5.37046 5.59124i −0.394844 0.411076i
\(186\) −2.80367 5.90861i −0.205575 0.433241i
\(187\) 0.00520782 0.000632344i 0.000380834 4.62416e-5i
\(188\) −0.183618 0.106012i −0.0133918 0.00773173i
\(189\) −1.24531 + 1.65720i −0.0905829 + 0.120544i
\(190\) −12.7356 + 8.79072i −0.923934 + 0.637746i
\(191\) −7.53381 + 13.0489i −0.545127 + 0.944188i 0.453472 + 0.891271i \(0.350185\pi\)
−0.998599 + 0.0529175i \(0.983148\pi\)
\(192\) −4.30348 7.45385i −0.310577 0.537936i
\(193\) −13.4489 6.38160i −0.968075 0.459357i −0.122064 0.992522i \(-0.538951\pi\)
−0.846011 + 0.533165i \(0.821003\pi\)
\(194\) −13.2168 6.93671i −0.948911 0.498027i
\(195\) −4.03041 4.09926i −0.288624 0.293554i
\(196\) 0.452939 0.237721i 0.0323528 0.0169800i
\(197\) −15.5709 + 0.627484i −1.10938 + 0.0447064i −0.588180 0.808730i \(-0.700155\pi\)
−0.521197 + 0.853436i \(0.674514\pi\)
\(198\) −0.279918 + 1.37113i −0.0198929 + 0.0974419i
\(199\) 4.45333 15.3747i 0.315689 1.08988i −0.633126 0.774049i \(-0.718228\pi\)
0.948814 0.315834i \(-0.102284\pi\)
\(200\) 3.36490 + 6.41129i 0.237935 + 0.453346i
\(201\) −1.03712 1.64007i −0.0731527 0.115682i
\(202\) 0.831129 5.11414i 0.0584780 0.359830i
\(203\) −4.48084 18.1795i −0.314493 1.27595i
\(204\) 0.000190963 0 0.000935399i 1.33701e−5 0 6.54910e-5i
\(205\) −6.11227 0.493434i −0.426900 0.0344629i
\(206\) 12.8877 20.3803i 0.897931 1.41996i
\(207\) −4.83125 4.28011i −0.335795 0.297488i
\(208\) 12.9109 0.671279i 0.895209 0.0465448i
\(209\) 5.61449 4.97400i 0.388362 0.344059i
\(210\) −0.713434 4.38994i −0.0492316 0.302934i
\(211\) 13.4409 5.72664i 0.925311 0.394238i 0.123861 0.992300i \(-0.460472\pi\)
0.801450 + 0.598061i \(0.204062\pi\)
\(212\) −1.52319 + 0.963207i −0.104613 + 0.0661534i
\(213\) 1.91910 2.16622i 0.131495 0.148427i
\(214\) −0.149368 1.85026i −0.0102106 0.126481i
\(215\) −0.106538 0.319122i −0.00726586 0.0217639i
\(216\) −2.92447 0.355095i −0.198985 0.0241611i
\(217\) −8.05431 6.05242i −0.546763 0.410865i
\(218\) −6.52646 + 7.99346i −0.442028 + 0.541386i
\(219\) 7.88944 + 6.44153i 0.533119 + 0.435278i
\(220\) 0.178263 + 0.258259i 0.0120185 + 0.0174118i
\(221\) −0.0175280 0.00485606i −0.00117906 0.000326654i
\(222\) 3.71686 5.38479i 0.249459 0.361404i
\(223\) −16.6351 + 4.81842i −1.11397 + 0.322665i −0.783650 0.621203i \(-0.786644\pi\)
−0.330321 + 0.943869i \(0.607157\pi\)
\(224\) −1.86919 1.18201i −0.124891 0.0789761i
\(225\) 2.42601 + 0.394265i 0.161734 + 0.0262843i
\(226\) 3.98526 + 1.51141i 0.265096 + 0.100537i
\(227\) −3.08121 + 7.23187i −0.204507 + 0.479996i −0.990377 0.138396i \(-0.955805\pi\)
0.785870 + 0.618392i \(0.212216\pi\)
\(228\) 0.984462 + 0.945589i 0.0651976 + 0.0626231i
\(229\) 10.1087 19.2605i 0.668000 1.27277i −0.281669 0.959511i \(-0.590888\pi\)
0.949669 0.313255i \(-0.101420\pi\)
\(230\) 13.8032 1.11431i 0.910158 0.0734756i
\(231\) 0.599776 + 2.07067i 0.0394624 + 0.136240i
\(232\) 19.1903 18.4325i 1.25991 1.21016i
\(233\) 9.62431 + 25.3772i 0.630510 + 1.66252i 0.743349 + 0.668904i \(0.233236\pi\)
−0.112839 + 0.993613i \(0.535994\pi\)
\(234\) 2.70934 4.02482i 0.177115 0.263111i
\(235\) 0.633412 1.67017i 0.0413192 0.108950i
\(236\) 0.368036 + 0.863813i 0.0239571 + 0.0562295i
\(237\) 0.645657 + 16.0218i 0.0419399 + 1.04073i
\(238\) −0.00889935 0.0108997i −0.000576859 0.000706524i
\(239\) 15.1785i 0.981813i 0.871212 + 0.490907i \(0.163334\pi\)
−0.871212 + 0.490907i \(0.836666\pi\)
\(240\) 4.42846 3.61573i 0.285856 0.233394i
\(241\) −3.77803 1.09432i −0.243365 0.0704914i 0.154294 0.988025i \(-0.450690\pi\)
−0.397658 + 0.917534i \(0.630177\pi\)
\(242\) −8.85050 9.99015i −0.568932 0.642191i
\(243\) −0.692724 + 0.721202i −0.0444383 + 0.0462652i
\(244\) 0.222141 + 0.0741617i 0.0142211 + 0.00474772i
\(245\) 2.58891 + 3.44521i 0.165399 + 0.220106i
\(246\) −0.623821 5.13763i −0.0397734 0.327563i
\(247\) −24.5695 + 8.52245i −1.56332 + 0.542270i
\(248\) 1.72582 14.2134i 0.109590 0.902555i
\(249\) 11.5478 6.66713i 0.731812 0.422512i
\(250\) −12.7918 + 9.61239i −0.809023 + 0.607941i
\(251\) 1.08007 26.8018i 0.0681737 1.69171i −0.497803 0.867290i \(-0.665860\pi\)
0.565976 0.824422i \(-0.308499\pi\)
\(252\) −0.366821 + 0.139117i −0.0231075 + 0.00876353i
\(253\) −6.57674 + 1.34265i −0.413476 + 0.0844117i
\(254\) 4.45685 0.909872i 0.279647 0.0570904i
\(255\) −0.00752036 + 0.00285210i −0.000470943 + 0.000178605i
\(256\) 0.181203 4.49650i 0.0113252 0.281031i
\(257\) −4.55779 + 3.42496i −0.284307 + 0.213643i −0.733322 0.679881i \(-0.762031\pi\)
0.449015 + 0.893524i \(0.351775\pi\)
\(258\) 0.245901 0.141971i 0.0153091 0.00883872i
\(259\) 1.21495 10.0060i 0.0754931 0.621741i
\(260\) −0.230048 1.06338i −0.0142669 0.0659478i
\(261\) −1.08873 8.96647i −0.0673905 0.555011i
\(262\) −6.56993 8.74299i −0.405892 0.540144i
\(263\) 9.30048 + 3.10496i 0.573492 + 0.191460i 0.588598 0.808426i \(-0.299680\pi\)
−0.0151057 + 0.999886i \(0.504808\pi\)
\(264\) −2.12227 + 2.20952i −0.130617 + 0.135987i
\(265\) −10.0681 11.3646i −0.618481 0.698121i
\(266\) −19.3250 5.59755i −1.18489 0.343208i
\(267\) −6.24990 + 5.10288i −0.382488 + 0.312291i
\(268\) 0.367243i 0.0224330i
\(269\) 13.2183 + 16.1895i 0.805936 + 0.987093i 0.999981 + 0.00610012i \(0.00194174\pi\)
−0.194045 + 0.980993i \(0.562161\pi\)
\(270\) −0.0863909 2.14377i −0.00525758 0.130466i
\(271\) 2.64675 + 6.21216i 0.160779 + 0.377362i 0.980812 0.194953i \(-0.0624556\pi\)
−0.820034 + 0.572315i \(0.806045\pi\)
\(272\) 0.00641407 0.0169125i 0.000388910 0.00102547i
\(273\) 0.814262 7.42964i 0.0492814 0.449662i
\(274\) −7.55772 19.9281i −0.456578 1.20390i
\(275\) 1.84343 1.77064i 0.111163 0.106774i
\(276\) −0.339853 1.17331i −0.0204568 0.0706249i
\(277\) −13.5377 + 1.09287i −0.813401 + 0.0656645i −0.480164 0.877179i \(-0.659423\pi\)
−0.333237 + 0.942843i \(0.608141\pi\)
\(278\) −3.24172 + 6.17658i −0.194425 + 0.370447i
\(279\) −3.50517 3.36677i −0.209849 0.201563i
\(280\) 3.81649 8.95764i 0.228079 0.535321i
\(281\) −9.04006 3.42844i −0.539285 0.204524i 0.0698973 0.997554i \(-0.477733\pi\)
−0.609182 + 0.793030i \(0.708502\pi\)
\(282\) 1.48802 + 0.241826i 0.0886101 + 0.0144005i
\(283\) 9.80421 + 6.19981i 0.582800 + 0.368540i 0.793095 0.609097i \(-0.208468\pi\)
−0.210295 + 0.977638i \(0.567443\pi\)
\(284\) 0.526085 0.152382i 0.0312174 0.00904223i
\(285\) −6.53274 + 9.46431i −0.386966 + 0.560617i
\(286\) −1.65353 4.76701i −0.0977755 0.281879i
\(287\) −4.52896 6.56133i −0.267336 0.387303i
\(288\) −0.826402 0.674737i −0.0486962 0.0397592i
\(289\) 10.7516 13.1683i 0.632444 0.774604i
\(290\) 15.4924 + 11.6418i 0.909742 + 0.683627i
\(291\) −11.0116 1.33706i −0.645514 0.0783796i
\(292\) 0.610402 + 1.82838i 0.0357211 + 0.106998i
\(293\) −0.562713 6.97045i −0.0328740 0.407218i −0.992177 0.124839i \(-0.960159\pi\)
0.959303 0.282379i \(-0.0911235\pi\)
\(294\) −2.41185 + 2.72241i −0.140662 + 0.158774i
\(295\) −6.68578 + 4.22783i −0.389261 + 0.246154i
\(296\) 13.1781 5.61466i 0.765960 0.326345i
\(297\) 0.166821 + 1.02649i 0.00967994 + 0.0595631i
\(298\) −21.1529 + 18.7398i −1.22536 + 1.08557i
\(299\) 22.8544 + 4.38859i 1.32170 + 0.253799i
\(300\) 0.348175 + 0.308456i 0.0201019 + 0.0178087i
\(301\) 0.233781 0.369695i 0.0134749 0.0213089i
\(302\) 14.7395 + 1.18989i 0.848160 + 0.0684706i
\(303\) −0.770177 3.77258i −0.0442455 0.216729i
\(304\) −6.18925 25.1108i −0.354978 1.44020i
\(305\) −0.316494 + 1.94747i −0.0181224 + 0.111512i
\(306\) −0.00362799 0.00573721i −0.000207399 0.000327975i
\(307\) 10.9058 + 20.7792i 0.622425 + 1.18593i 0.968802 + 0.247836i \(0.0797195\pi\)
−0.346377 + 0.938095i \(0.612588\pi\)
\(308\) −0.113510 + 0.391883i −0.00646785 + 0.0223296i
\(309\) 3.58438 17.5574i 0.203908 0.998808i
\(310\) 10.4191 0.419876i 0.591765 0.0238473i
\(311\) 15.0264 7.88649i 0.852072 0.447202i 0.0186412 0.999826i \(-0.494066\pi\)
0.833430 + 0.552625i \(0.186374\pi\)
\(312\) 9.72255 4.27712i 0.550431 0.242144i
\(313\) 27.0508 + 14.1973i 1.52900 + 0.802481i 0.998965 0.0454946i \(-0.0144864\pi\)
0.530035 + 0.847976i \(0.322179\pi\)
\(314\) −8.54876 4.05644i −0.482435 0.228918i
\(315\) −1.65257 2.86234i −0.0931119 0.161274i
\(316\) −1.51733 + 2.62809i −0.0853564 + 0.147842i
\(317\) −18.0156 + 12.4353i −1.01186 + 0.698435i −0.953974 0.299889i \(-0.903050\pi\)
−0.0578832 + 0.998323i \(0.518435\pi\)
\(318\) 7.69788 10.2440i 0.431676 0.574456i
\(319\) −8.13479 4.69663i −0.455461 0.262961i
\(320\) 13.6230 1.65414i 0.761551 0.0924690i
\(321\) −0.591372 1.24629i −0.0330071 0.0695611i
\(322\) 12.4721 + 12.9848i 0.695042 + 0.723615i
\(323\) −0.00292772 + 0.0362663i −0.000162903 + 0.00201791i
\(324\) −0.183755 + 0.0452915i −0.0102086 + 0.00251620i
\(325\) −8.24875 + 3.23894i −0.457558 + 0.179664i
\(326\) −17.6229 4.34365i −0.976041 0.240572i
\(327\) −2.42846 + 7.27411i −0.134294 + 0.402259i
\(328\) 4.85716 10.2363i 0.268192 0.565203i
\(329\) 2.20284 0.735416i 0.121446 0.0405448i
\(330\) −1.83628 1.26749i −0.101084 0.0697730i
\(331\) −21.3584 + 10.1347i −1.17397 + 0.557054i −0.912867 0.408258i \(-0.866136\pi\)
−0.261100 + 0.965312i \(0.584085\pi\)
\(332\) 2.52152 + 0.101614i 0.138386 + 0.00557678i
\(333\) 1.16364 4.72109i 0.0637673 0.258714i
\(334\) 18.9738 + 8.08396i 1.03820 + 0.442335i
\(335\) 3.05386 0.496300i 0.166850 0.0271158i
\(336\) 7.28271 + 1.48678i 0.397304 + 0.0811102i
\(337\) −9.64180 −0.525222 −0.262611 0.964902i \(-0.584584\pi\)
−0.262611 + 0.964902i \(0.584584\pi\)
\(338\) −1.00032 + 17.4647i −0.0544104 + 0.949954i
\(339\) 3.16744 0.172032
\(340\) −0.00149142 0.000304475i −8.08833e−5 1.65125e-5i
\(341\) −4.98894 + 0.810781i −0.270166 + 0.0439063i
\(342\) −8.92900 3.80429i −0.482825 0.205713i
\(343\) −4.81349 + 19.5291i −0.259904 + 1.05447i
\(344\) 0.621117 + 0.0250301i 0.0334884 + 0.00134954i
\(345\) 9.29752 4.41173i 0.500562 0.237519i
\(346\) −21.0772 14.5486i −1.13312 0.782135i
\(347\) 14.7028 4.90853i 0.789289 0.263503i 0.106686 0.994293i \(-0.465976\pi\)
0.682603 + 0.730789i \(0.260848\pi\)
\(348\) 0.732810 1.54436i 0.0392828 0.0827866i
\(349\) 7.90267 23.6714i 0.423020 1.26710i −0.494419 0.869224i \(-0.664619\pi\)
0.917439 0.397877i \(-0.130253\pi\)
\(350\) −6.65678 1.64075i −0.355820 0.0877017i
\(351\) 0.821954 3.51061i 0.0438727 0.187383i
\(352\) −1.07726 + 0.265521i −0.0574182 + 0.0141523i
\(353\) 1.25026 15.4873i 0.0665448 0.824305i −0.874282 0.485418i \(-0.838667\pi\)
0.940827 0.338887i \(-0.110050\pi\)
\(354\) −4.62472 4.81484i −0.245801 0.255906i
\(355\) 1.97812 + 4.16880i 0.104988 + 0.221257i
\(356\) −1.51586 + 0.184059i −0.0803406 + 0.00975512i
\(357\) −0.00905602 0.00522849i −0.000479295 0.000276721i
\(358\) 9.59159 12.7641i 0.506931 0.674603i
\(359\) −2.51711 + 1.73743i −0.132848 + 0.0916982i −0.632635 0.774450i \(-0.718027\pi\)
0.499788 + 0.866148i \(0.333411\pi\)
\(360\) 2.34853 4.06778i 0.123779 0.214391i
\(361\) 16.5113 + 28.5984i 0.869016 + 1.50518i
\(362\) −13.1959 6.26155i −0.693563 0.329100i
\(363\) −8.78238 4.60935i −0.460956 0.241928i
\(364\) 0.881754 1.10605i 0.0462165 0.0579729i
\(365\) −14.3792 + 7.54678i −0.752641 + 0.395017i
\(366\) −1.66382 + 0.0670496i −0.0869692 + 0.00350474i
\(367\) −7.46519 + 36.5669i −0.389680 + 1.90878i 0.0268179 + 0.999640i \(0.491463\pi\)
−0.416498 + 0.909137i \(0.636743\pi\)
\(368\) −6.43897 + 22.2299i −0.335654 + 1.15881i
\(369\) −1.78734 3.40548i −0.0930450 0.177282i
\(370\) 5.57570 + 8.81726i 0.289867 + 0.458388i
\(371\) 3.16649 19.4842i 0.164396 1.01157i
\(372\) −0.220125 0.893082i −0.0114130 0.0463042i
\(373\) −5.74590 28.1453i −0.297511 1.45731i −0.803777 0.594930i \(-0.797180\pi\)
0.506266 0.862377i \(-0.331025\pi\)
\(374\) −0.00703643 0.000568039i −0.000363845 2.93726e-5i
\(375\) −6.35528 + 10.0501i −0.328185 + 0.518983i
\(376\) 2.47038 + 2.18856i 0.127400 + 0.112866i
\(377\) 19.8666 + 25.8050i 1.02318 + 1.32903i
\(378\) 2.08793 1.84974i 0.107391 0.0951405i
\(379\) 1.90404 + 11.7160i 0.0978040 + 0.601812i 0.988968 + 0.148131i \(0.0473256\pi\)
−0.891164 + 0.453682i \(0.850110\pi\)
\(380\) −2.00227 + 0.853085i −0.102714 + 0.0437624i
\(381\) 2.85706 1.80670i 0.146372 0.0925600i
\(382\) 13.4452 15.1765i 0.687916 0.776497i
\(383\) 1.55630 + 19.2783i 0.0795234 + 0.985074i 0.906325 + 0.422581i \(0.138876\pi\)
−0.826802 + 0.562493i \(0.809842\pi\)
\(384\) 2.99192 + 8.96191i 0.152681 + 0.457335i
\(385\) −3.41215 0.414310i −0.173899 0.0211152i
\(386\) 16.0140 + 12.0337i 0.815091 + 0.612501i
\(387\) 0.133452 0.163448i 0.00678372 0.00830855i
\(388\) −1.62613 1.32770i −0.0825545 0.0674036i
\(389\) −5.03663 7.29682i −0.255367 0.369963i 0.674242 0.738511i \(-0.264471\pi\)
−0.929609 + 0.368547i \(0.879855\pi\)
\(390\) 4.21050 + 6.48948i 0.213207 + 0.328608i
\(391\) 0.0184960 0.0267960i 0.000935381 0.00135513i
\(392\) −7.64817 + 2.21532i −0.386291 + 0.111890i
\(393\) −6.86908 4.34374i −0.346499 0.219113i
\(394\) 20.6982 + 3.36379i 1.04276 + 0.169465i
\(395\) −23.9048 9.06588i −1.20278 0.456154i
\(396\) −0.0771456 + 0.181067i −0.00387671 + 0.00909898i
\(397\) 13.4084 + 12.8789i 0.672946 + 0.646373i 0.949186 0.314715i \(-0.101909\pi\)
−0.276240 + 0.961089i \(0.589089\pi\)
\(398\) −10.0098 + 19.0720i −0.501744 + 0.955994i
\(399\) −14.9030 + 1.20310i −0.746084 + 0.0602301i
\(400\) −2.45193 8.46505i −0.122597 0.423253i
\(401\) −4.61048 + 4.42843i −0.230236 + 0.221145i −0.798961 0.601383i \(-0.794617\pi\)
0.568724 + 0.822528i \(0.307437\pi\)
\(402\) 0.925937 + 2.44150i 0.0461816 + 0.121771i
\(403\) 17.0622 + 3.99485i 0.849929 + 0.198997i
\(404\) 0.258402 0.681349i 0.0128560 0.0338984i
\(405\) −0.624958 1.46683i −0.0310544 0.0728874i
\(406\) 1.01451 + 25.1747i 0.0503491 + 1.24940i
\(407\) −3.19807 3.91693i −0.158523 0.194155i
\(408\) 0.0148608i 0.000735720i
\(409\) −26.4189 + 21.5704i −1.30633 + 1.06659i −0.313185 + 0.949692i \(0.601396\pi\)
−0.993144 + 0.116893i \(0.962706\pi\)
\(410\) 7.92588 + 2.29576i 0.391431 + 0.113380i
\(411\) −10.5029 11.8554i −0.518072 0.584782i
\(412\) 2.34928 2.44586i 0.115741 0.120499i
\(413\) −9.75526 3.25678i −0.480025 0.160256i
\(414\) 5.21769 + 6.94348i 0.256435 + 0.341253i
\(415\) 2.56265 + 21.1053i 0.125796 + 1.03602i
\(416\) 3.80378 + 0.572698i 0.186496 + 0.0280788i
\(417\) −0.624844 + 5.14605i −0.0305987 + 0.252003i
\(418\) −8.74121 + 5.04674i −0.427547 + 0.246844i
\(419\) −6.99907 + 5.25946i −0.341927 + 0.256942i −0.757808 0.652477i \(-0.773730\pi\)
0.415881 + 0.909419i \(0.363473\pi\)
\(420\) 0.0251869 0.625005i 0.00122899 0.0304971i
\(421\) 1.32770 0.503529i 0.0647080 0.0245405i −0.322039 0.946727i \(-0.604368\pi\)
0.386747 + 0.922186i \(0.373599\pi\)
\(422\) −19.2625 + 3.93247i −0.937684 + 0.191430i
\(423\) 1.09767 0.224092i 0.0533707 0.0108957i
\(424\) 26.2300 9.94772i 1.27384 0.483104i
\(425\) −0.000499240 0.0123885i −2.42167e−5 0.000600931i
\(426\) −3.11330 + 2.33949i −0.150840 + 0.113349i
\(427\) −2.22151 + 1.28259i −0.107507 + 0.0620689i
\(428\) 0.0314688 0.259168i 0.00152110 0.0125274i
\(429\) −2.40517 2.87661i −0.116122 0.138884i
\(430\) 0.0545695 + 0.449420i 0.00263158 + 0.0216730i
\(431\) −2.77829 3.69724i −0.133826 0.178090i 0.727555 0.686049i \(-0.240656\pi\)
−0.861381 + 0.507959i \(0.830400\pi\)
\(432\) 3.40114 + 1.13547i 0.163638 + 0.0546302i
\(433\) −5.12430 + 5.33496i −0.246258 + 0.256382i −0.832847 0.553503i \(-0.813291\pi\)
0.586589 + 0.809885i \(0.300470\pi\)
\(434\) 8.99009 + 10.1477i 0.431538 + 0.487106i
\(435\) 13.8327 + 4.00669i 0.663227 + 0.192106i
\(436\) −1.12422 + 0.917899i −0.0538405 + 0.0439594i
\(437\) 46.5540i 2.22698i
\(438\) −8.66797 10.6163i −0.414172 0.507268i
\(439\) −0.237871 5.90271i −0.0113530 0.281721i −0.994887 0.100997i \(-0.967797\pi\)
0.983534 0.180724i \(-0.0578442\pi\)
\(440\) −1.91466 4.49387i −0.0912779 0.214237i
\(441\) −0.958455 + 2.52724i −0.0456407 + 0.120345i
\(442\) 0.0218026 + 0.0111203i 0.00103704 + 0.000528940i
\(443\) 12.5530 + 33.0995i 0.596411 + 1.57261i 0.804152 + 0.594423i \(0.202620\pi\)
−0.207741 + 0.978184i \(0.566611\pi\)
\(444\) 0.663670 0.637463i 0.0314964 0.0302527i
\(445\) −3.57914 12.3566i −0.169667 0.585760i
\(446\) 23.2294 1.87527i 1.09995 0.0887968i
\(447\) −9.75973 + 18.5956i −0.461619 + 0.879542i
\(448\) 12.8676 + 12.3595i 0.607935 + 0.583930i
\(449\) 0.596116 1.39914i 0.0281325 0.0660293i −0.905321 0.424729i \(-0.860369\pi\)
0.933453 + 0.358699i \(0.116780\pi\)
\(450\) −3.09244 1.17281i −0.145779 0.0552867i
\(451\) −3.94791 0.641598i −0.185900 0.0302117i
\(452\) 0.506651 + 0.320387i 0.0238309 + 0.0150697i
\(453\) 10.5553 3.05737i 0.495929 0.143648i
\(454\) 6.00896 8.70548i 0.282014 0.408568i
\(455\) 10.3891 + 5.83759i 0.487050 + 0.273671i
\(456\) −12.0703 17.4869i −0.565245 0.818898i
\(457\) 9.56095 + 7.80627i 0.447242 + 0.365162i 0.829139 0.559043i \(-0.188831\pi\)
−0.381896 + 0.924205i \(0.624729\pi\)
\(458\) −18.5119 + 22.6730i −0.865005 + 1.05944i
\(459\) −0.00403279 0.00303044i −0.000188234 0.000141449i
\(460\) 1.93344 + 0.234762i 0.0901470 + 0.0109458i
\(461\) 10.7365 + 32.1599i 0.500050 + 1.49783i 0.832129 + 0.554582i \(0.187122\pi\)
−0.332079 + 0.943252i \(0.607750\pi\)
\(462\) −0.233426 2.89150i −0.0108600 0.134525i
\(463\) −13.0465 + 14.7264i −0.606320 + 0.684394i −0.968870 0.247570i \(-0.920368\pi\)
0.362550 + 0.931964i \(0.381906\pi\)
\(464\) −27.3732 + 17.3097i −1.27077 + 0.803585i
\(465\) 7.12906 3.03741i 0.330602 0.140856i
\(466\) −5.85853 36.0490i −0.271391 1.66994i
\(467\) −5.50552 + 4.87747i −0.254765 + 0.225702i −0.780832 0.624741i \(-0.785205\pi\)
0.526067 + 0.850443i \(0.323666\pi\)
\(468\) 0.486575 0.478402i 0.0224919 0.0221142i
\(469\) 3.01089 + 2.66742i 0.139030 + 0.123170i
\(470\) −1.28467 + 2.03154i −0.0592572 + 0.0937078i
\(471\) −7.00906 0.565830i −0.322960 0.0260721i
\(472\) −2.92352 14.3204i −0.134566 0.659148i
\(473\) −0.0525156 0.213064i −0.00241467 0.00979669i
\(474\) 3.46121 21.2977i 0.158978 0.978234i
\(475\) 9.47478 + 14.9832i 0.434733 + 0.687475i
\(476\) −0.000919701 0.00175234i −4.21544e−5 8.03186e-5i
\(477\) 2.64934 9.14660i 0.121305 0.418794i
\(478\) 4.08547 20.0120i 0.186865 0.915326i
\(479\) −0.473340 + 0.0190749i −0.0216274 + 0.000871556i −0.0510773 0.998695i \(-0.516265\pi\)
0.0294499 + 0.999566i \(0.490624\pi\)
\(480\) 1.50619 0.790510i 0.0687479 0.0360817i
\(481\) 5.07376 + 16.7813i 0.231344 + 0.765162i
\(482\) 4.68658 + 2.45971i 0.213468 + 0.112037i
\(483\) 12.0880 + 5.73582i 0.550023 + 0.260989i
\(484\) −0.938558 1.62563i −0.0426617 0.0738923i
\(485\) 8.84305 15.3166i 0.401542 0.695491i
\(486\) 1.10744 0.764410i 0.0502345 0.0346744i
\(487\) 5.50173 7.32148i 0.249307 0.331768i −0.657389 0.753551i \(-0.728339\pi\)
0.906697 + 0.421783i \(0.138596\pi\)
\(488\) −3.15708 1.82274i −0.142914 0.0825115i
\(489\) −13.3899 + 1.62583i −0.605511 + 0.0735224i
\(490\) −2.48601 5.23916i −0.112307 0.236681i
\(491\) −15.8519 16.5036i −0.715387 0.744797i 0.259925 0.965629i \(-0.416302\pi\)
−0.975312 + 0.220832i \(0.929123\pi\)
\(492\) 0.0585697 0.725516i 0.00264053 0.0327088i
\(493\) 0.0442396 0.0109041i 0.00199245 0.000491095i
\(494\) 34.6875 4.62318i 1.56066 0.208007i
\(495\) −1.60994 0.396816i −0.0723616 0.0178355i
\(496\) −5.51858 + 16.5302i −0.247792 + 0.742227i
\(497\) −2.57181 + 5.41998i −0.115362 + 0.243119i
\(498\) −17.0197 + 5.68200i −0.762670 + 0.254617i
\(499\) −6.49730 4.48476i −0.290859 0.200766i 0.413695 0.910415i \(-0.364238\pi\)
−0.704555 + 0.709650i \(0.748853\pi\)
\(500\) −2.03313 + 0.964731i −0.0909242 + 0.0431441i
\(501\) 15.3142 + 0.617141i 0.684188 + 0.0275718i
\(502\) −8.63805 + 35.0459i −0.385535 + 1.56418i
\(503\) −13.9558 5.94603i −0.622260 0.265120i 0.0577405 0.998332i \(-0.481610\pi\)
−0.680001 + 0.733211i \(0.738021\pi\)
\(504\) 6.02772 0.979600i 0.268496 0.0436348i
\(505\) 6.01506 + 1.22798i 0.267666 + 0.0546445i
\(506\) 9.03246 0.401542
\(507\) 3.90725 + 12.3989i 0.173527 + 0.550656i
\(508\) 0.639752 0.0283844
\(509\) 3.98516 + 0.813577i 0.176639 + 0.0360612i 0.287531 0.957771i \(-0.407166\pi\)
−0.110892 + 0.993832i \(0.535371\pi\)
\(510\) 0.0106829 0.00173613i 0.000473045 7.68773e-5i
\(511\) −19.4237 8.27568i −0.859255 0.366094i
\(512\) −5.97137 + 24.2268i −0.263900 + 1.07068i
\(513\) −7.20682 0.290425i −0.318189 0.0128226i
\(514\) 6.93107 3.28883i 0.305716 0.145064i
\(515\) 23.5137 + 16.2303i 1.03614 + 0.715194i
\(516\) 0.0378792 0.0126459i 0.00166754 0.000556706i
\(517\) 0.499462 1.05259i 0.0219663 0.0462930i
\(518\) −4.29507 + 12.8653i −0.188715 + 0.565270i
\(519\) −18.4793 4.55475i −0.811153 0.199931i
\(520\) 0.197627 + 16.9344i 0.00866651 + 0.742621i
\(521\) −20.8994 + 5.15123i −0.915618 + 0.225680i −0.668852 0.743396i \(-0.733214\pi\)
−0.246766 + 0.969075i \(0.579368\pi\)
\(522\) −0.978012 + 12.1148i −0.0428064 + 0.530252i
\(523\) 7.23154 + 7.52883i 0.316213 + 0.329213i 0.860273 0.509834i \(-0.170293\pi\)
−0.544060 + 0.839046i \(0.683114\pi\)
\(524\) −0.659380 1.38961i −0.0288051 0.0607055i
\(525\) −5.05783 + 0.614131i −0.220742 + 0.0268029i
\(526\) −11.4264 6.59705i −0.498216 0.287645i
\(527\) 0.0147285 0.0196001i 0.000641584 0.000853793i
\(528\) 3.06887 2.11829i 0.133555 0.0921866i
\(529\) −9.33014 + 16.1603i −0.405658 + 0.702621i
\(530\) 10.2154 + 17.6936i 0.443728 + 0.768559i
\(531\) −4.48229 2.12687i −0.194515 0.0922985i
\(532\) −2.50552 1.31500i −0.108628 0.0570124i
\(533\) 11.8060 + 7.27418i 0.511373 + 0.315080i
\(534\) 9.61365 5.04563i 0.416023 0.218346i
\(535\) 2.19768 0.0885633i 0.0950138 0.00382893i
\(536\) −1.14345 + 5.60101i −0.0493897 + 0.241927i
\(537\) 3.30110 11.3967i 0.142453 0.491804i
\(538\) −13.0700 24.9029i −0.563489 1.07364i
\(539\) 1.50232 + 2.37573i 0.0647096 + 0.102330i
\(540\) 0.0484041 0.297842i 0.00208298 0.0128171i
\(541\) 6.65188 + 26.9878i 0.285987 + 1.16029i 0.921555 + 0.388249i \(0.126920\pi\)
−0.635568 + 0.772045i \(0.719234\pi\)
\(542\) −1.81752 8.90280i −0.0780691 0.382408i
\(543\) −10.8192 0.873418i −0.464298 0.0374820i
\(544\) 0.00287640 0.00454866i 0.000123325 0.000195022i
\(545\) −9.15220 8.10814i −0.392037 0.347315i
\(546\) −3.07334 + 9.57640i −0.131527 + 0.409832i
\(547\) 23.9608 21.2275i 1.02449 0.907620i 0.0287295 0.999587i \(-0.490854\pi\)
0.995762 + 0.0919669i \(0.0293154\pi\)
\(548\) −0.480837 2.95871i −0.0205403 0.126390i
\(549\) −1.13843 + 0.485041i −0.0485872 + 0.0207011i
\(550\) −2.90705 + 1.83831i −0.123957 + 0.0783857i
\(551\) 43.2006 48.7634i 1.84041 2.07739i
\(552\) 1.53004 + 18.9529i 0.0651226 + 0.806689i
\(553\) −10.5258 31.5287i −0.447604 1.34074i
\(554\) 18.1429 + 2.20294i 0.770816 + 0.0935940i
\(555\) 6.19781 + 4.65735i 0.263082 + 0.197693i
\(556\) −0.620470 + 0.759938i −0.0263138 + 0.0322286i
\(557\) −15.8215 12.9179i −0.670380 0.547349i 0.234976 0.972001i \(-0.424499\pi\)
−0.905356 + 0.424653i \(0.860396\pi\)
\(558\) 3.71517 + 5.38236i 0.157276 + 0.227853i
\(559\) −0.113270 + 0.752324i −0.00479081 + 0.0318199i
\(560\) −6.73223 + 9.75332i −0.284489 + 0.412153i
\(561\) −0.00503895 + 0.00145955i −0.000212744 + 6.16222e-5i
\(562\) 10.9960 + 6.95346i 0.463839 + 0.293314i
\(563\) −28.5645 4.64219i −1.20385 0.195645i −0.474794 0.880097i \(-0.657477\pi\)
−0.729058 + 0.684452i \(0.760042\pi\)
\(564\) 0.198246 + 0.0751849i 0.00834767 + 0.00316585i
\(565\) −1.97952 + 4.64610i −0.0832789 + 0.195463i
\(566\) −11.2576 10.8130i −0.473191 0.454506i
\(567\) 0.963348 1.83551i 0.0404568 0.0770840i
\(568\) −8.49805 + 0.686033i −0.356570 + 0.0287853i
\(569\) −1.62523 5.61096i −0.0681334 0.235224i 0.919224 0.393736i \(-0.128817\pi\)
−0.987357 + 0.158512i \(0.949330\pi\)
\(570\) 11.1605 10.7198i 0.467462 0.449003i
\(571\) 9.61939 + 25.3643i 0.402559 + 1.06146i 0.971072 + 0.238787i \(0.0767497\pi\)
−0.568513 + 0.822674i \(0.692481\pi\)
\(572\) −0.0937515 0.703413i −0.00391995 0.0294112i
\(573\) 5.34305 14.0885i 0.223209 0.588554i
\(574\) 4.20512 + 9.86978i 0.175518 + 0.411957i
\(575\) −0.638781 15.8512i −0.0266390 0.661041i
\(576\) 5.44344 + 6.66700i 0.226810 + 0.277792i
\(577\) 14.7889i 0.615672i −0.951439 0.307836i \(-0.900395\pi\)
0.951439 0.307836i \(-0.0996047\pi\)
\(578\) −17.7197 + 14.4677i −0.737044 + 0.601778i
\(579\) 14.2984 + 4.14160i 0.594223 + 0.172119i
\(580\) 1.80734 + 2.04007i 0.0750459 + 0.0847093i
\(581\) −19.1478 + 19.9349i −0.794383 + 0.827040i
\(582\) 14.1584 + 4.72676i 0.586883 + 0.195930i
\(583\) −5.94920 7.91694i −0.246391 0.327886i
\(584\) −3.61668 29.7860i −0.149659 1.23255i
\(585\) 4.63578 + 3.39965i 0.191666 + 0.140558i
\(586\) −1.13428 + 9.34162i −0.0468566 + 0.385899i
\(587\) 18.9023 10.9133i 0.780183 0.450439i −0.0563124 0.998413i \(-0.517934\pi\)
0.836495 + 0.547975i \(0.184601\pi\)
\(588\) −0.408940 + 0.307299i −0.0168644 + 0.0126728i
\(589\) 1.41152 35.0265i 0.0581606 1.44324i
\(590\) 9.95280 3.77460i 0.409750 0.155398i
\(591\) 15.2686 3.11710i 0.628065 0.128220i
\(592\) −17.0826 + 3.48743i −0.702089 + 0.143333i
\(593\) 3.89178 1.47596i 0.159816 0.0606104i −0.273399 0.961901i \(-0.588148\pi\)
0.433216 + 0.901290i \(0.357379\pi\)
\(594\) 0.0563486 1.39827i 0.00231201 0.0573719i
\(595\) 0.0133289 0.0100160i 0.000546433 0.000410618i
\(596\) −3.44207 + 1.98728i −0.140993 + 0.0814022i
\(597\) −1.92939 + 15.8900i −0.0789647 + 0.650333i
\(598\) −28.9510 11.9377i −1.18390 0.488167i
\(599\) 2.17324 + 17.8982i 0.0887960 + 0.731301i 0.967312 + 0.253588i \(0.0816108\pi\)
−0.878516 + 0.477712i \(0.841466\pi\)
\(600\) −4.34977 5.78849i −0.177579 0.236314i
\(601\) 19.8580 + 6.62957i 0.810025 + 0.270426i 0.691362 0.722509i \(-0.257011\pi\)
0.118663 + 0.992935i \(0.462139\pi\)
\(602\) −0.407735 + 0.424498i −0.0166181 + 0.0173012i
\(603\) 1.28677 + 1.45247i 0.0524015 + 0.0591490i
\(604\) 1.99763 + 0.578620i 0.0812823 + 0.0235437i
\(605\) 12.2498 10.0016i 0.498023 0.406623i
\(606\) 5.18124i 0.210473i
\(607\) −16.1506 19.7809i −0.655534 0.802883i 0.334696 0.942326i \(-0.391366\pi\)
−0.990230 + 0.139443i \(0.955469\pi\)
\(608\) −0.309845 7.68874i −0.0125659 0.311819i
\(609\) 7.33901 + 17.2253i 0.297392 + 0.698004i
\(610\) 0.941466 2.48244i 0.0381188 0.100511i
\(611\) −2.99203 + 2.71369i −0.121045 + 0.109784i
\(612\) −0.000338539 0 0.000892653i −1.36846e−5 0 3.60834e-5i
\(613\) −2.51746 + 2.41805i −0.101679 + 0.0976643i −0.741841 0.670576i \(-0.766047\pi\)
0.640161 + 0.768240i \(0.278867\pi\)
\(614\) −8.78567 30.3317i −0.354561 1.22409i
\(615\) 6.11227 0.493434i 0.246471 0.0198972i
\(616\) 2.95137 5.62337i 0.118914 0.226572i
\(617\) −8.74639 8.40102i −0.352116 0.338212i 0.495708 0.868489i \(-0.334909\pi\)
−0.847825 + 0.530277i \(0.822088\pi\)
\(618\) −9.45161 + 22.1837i −0.380200 + 0.892361i
\(619\) −7.62133 2.89039i −0.306327 0.116174i 0.196651 0.980473i \(-0.436993\pi\)
−0.502978 + 0.864299i \(0.667762\pi\)
\(620\) 1.44757 + 0.235253i 0.0581358 + 0.00944798i
\(621\) 5.45526 + 3.44970i 0.218912 + 0.138432i
\(622\) −21.9343 + 6.35334i −0.879485 + 0.254746i
\(623\) 9.50122 13.7649i 0.380658 0.551479i
\(624\) −12.6360 + 2.73364i −0.505846 + 0.109433i
\(625\) −3.78890 5.48917i −0.151556 0.219567i
\(626\) −31.8436 25.9995i −1.27272 1.03915i
\(627\) −4.74390 + 5.81022i −0.189453 + 0.232038i
\(628\) −1.06391 0.799474i −0.0424545 0.0319025i
\(629\) 0.0243494 + 0.00295656i 0.000970876 + 0.000117886i
\(630\) 1.40839 + 4.21865i 0.0561116 + 0.168075i
\(631\) −0.749424 9.28329i −0.0298341 0.369562i −0.994397 0.105709i \(-0.966289\pi\)
0.964563 0.263853i \(-0.0849933\pi\)
\(632\) 31.3244 35.3579i 1.24602 1.40646i
\(633\) −12.3482 + 7.80856i −0.490799 + 0.310362i
\(634\) 27.0997 11.5461i 1.07627 0.458554i
\(635\) 0.864574 + 5.31994i 0.0343096 + 0.211115i
\(636\) 1.34896 1.19507i 0.0534896 0.0473876i
\(637\) −1.67541 9.60028i −0.0663822 0.380377i
\(638\) 9.46112 + 8.38182i 0.374569 + 0.331840i
\(639\) −1.54677 + 2.44602i −0.0611891 + 0.0967629i
\(640\) −15.0154 1.21217i −0.593536 0.0479152i
\(641\) 3.99002 + 19.5444i 0.157596 + 0.771958i 0.979359 + 0.202128i \(0.0647858\pi\)
−0.821763 + 0.569830i \(0.807009\pi\)
\(642\) 0.444237 + 1.80234i 0.0175326 + 0.0711326i
\(643\) 6.44952 39.6855i 0.254344 1.56504i −0.474433 0.880292i \(-0.657347\pi\)
0.728777 0.684751i \(-0.240089\pi\)
\(644\) 1.35337 + 2.14018i 0.0533301 + 0.0843349i
\(645\) 0.156350 + 0.297899i 0.00615626 + 0.0117298i
\(646\) 0.0136216 0.0470271i 0.000535933 0.00185026i
\(647\) −4.88446 + 23.9257i −0.192028 + 0.940615i 0.763521 + 0.645783i \(0.223469\pi\)
−0.955549 + 0.294832i \(0.904736\pi\)
\(648\) 2.94356 0.118621i 0.115634 0.00465989i
\(649\) −4.56856 + 2.39776i −0.179332 + 0.0941205i
\(650\) 11.7473 2.05011i 0.460768 0.0804118i
\(651\) 8.92089 + 4.68204i 0.349637 + 0.183504i
\(652\) −2.30624 1.09433i −0.0903194 0.0428571i
\(653\) −15.2836 26.4720i −0.598094 1.03593i −0.993102 0.117251i \(-0.962592\pi\)
0.395008 0.918678i \(-0.370742\pi\)
\(654\) 5.15970 8.93687i 0.201760 0.349459i
\(655\) 10.6644 7.36111i 0.416693 0.287622i
\(656\) −8.28459 + 11.0248i −0.323459 + 0.430445i
\(657\) −8.82057 5.09256i −0.344123 0.198680i
\(658\) −3.10227 + 0.376684i −0.120939 + 0.0146847i
\(659\) −7.12482 15.0152i −0.277544 0.584911i 0.716034 0.698066i \(-0.245956\pi\)
−0.993577 + 0.113155i \(0.963904\pi\)
\(660\) −0.217382 0.226319i −0.00846159 0.00880945i
\(661\) −3.94723 + 48.8952i −0.153529 + 1.90180i 0.222085 + 0.975027i \(0.428714\pi\)
−0.375615 + 0.926776i \(0.622568\pi\)
\(662\) 30.8878 7.61316i 1.20049 0.295894i
\(663\) 0.0180799 + 0.00198150i 0.000702167 + 7.69550e-5i
\(664\) −38.1405 9.40080i −1.48014 0.364822i
\(665\) 7.54902 22.6121i 0.292738 0.876859i
\(666\) −2.80494 + 5.91129i −0.108689 + 0.229058i
\(667\) −55.2987 + 18.4614i −2.14117 + 0.714829i
\(668\) 2.38717 + 1.64775i 0.0923624 + 0.0637532i
\(669\) 15.6468 7.42449i 0.604939 0.287047i
\(670\) −4.15993 0.167639i −0.160712 0.00647648i
\(671\) −0.307976 + 1.24951i −0.0118893 + 0.0482367i
\(672\) 2.03460 + 0.866860i 0.0784862 + 0.0334399i
\(673\) 20.0864 3.26435i 0.774272 0.125831i 0.239578 0.970877i \(-0.422991\pi\)
0.534694 + 0.845046i \(0.320427\pi\)
\(674\) 12.7122 + 2.59521i 0.489655 + 0.0999638i
\(675\) −2.45784 −0.0946022
\(676\) −0.629164 + 2.37850i −0.0241986 + 0.0914807i
\(677\) −43.0078 −1.65292 −0.826462 0.562992i \(-0.809650\pi\)
−0.826462 + 0.562992i \(0.809650\pi\)
\(678\) −4.17610 0.852557i −0.160382 0.0327422i
\(679\) 22.6965 3.68854i 0.871011 0.141553i
\(680\) 0.0217983 + 0.00928739i 0.000835927 + 0.000356155i
\(681\) 1.88124 7.63248i 0.0720892 0.292477i
\(682\) 6.79587 + 0.273864i 0.260227 + 0.0104868i
\(683\) 29.4015 13.9512i 1.12502 0.533827i 0.227047 0.973884i \(-0.427093\pi\)
0.897970 + 0.440057i \(0.145042\pi\)
\(684\) −1.12340 0.775425i −0.0429541 0.0296491i
\(685\) 23.9537 7.99692i 0.915224 0.305547i
\(686\) 11.6028 24.4525i 0.442998 0.933599i
\(687\) −6.88817 + 20.6326i −0.262800 + 0.787182i
\(688\) −0.734623 0.181068i −0.0280072 0.00690317i
\(689\) 8.60514 + 33.2383i 0.327830 + 1.26628i
\(690\) −13.4457 + 3.31408i −0.511871 + 0.126165i
\(691\) −1.78208 + 22.0750i −0.0677936 + 0.839774i 0.870105 + 0.492866i \(0.164051\pi\)
−0.937899 + 0.346908i \(0.887232\pi\)
\(692\) −2.49517 2.59774i −0.0948520 0.0987514i
\(693\) −0.924168 1.94764i −0.0351062 0.0739848i
\(694\) −20.7061 + 2.51417i −0.785991 + 0.0954366i
\(695\) −7.15788 4.13260i −0.271514 0.156759i
\(696\) −15.9850 + 21.2722i −0.605910 + 0.806320i
\(697\) 0.0159669 0.0110212i 0.000604790 0.000417456i
\(698\) −16.7907 + 29.0823i −0.635537 + 1.10078i
\(699\) −13.5705 23.5047i −0.513282 0.889031i
\(700\) −0.871148 0.413365i −0.0329263 0.0156237i
\(701\) 4.84654 + 2.54366i 0.183051 + 0.0960728i 0.553760 0.832677i \(-0.313193\pi\)
−0.370708 + 0.928749i \(0.620885\pi\)
\(702\) −2.02863 + 4.40731i −0.0765656 + 0.166343i
\(703\) 31.0536 16.2982i 1.17121 0.614698i
\(704\) 8.94364 0.360416i 0.337076 0.0135837i
\(705\) −0.357295 + 1.75015i −0.0134565 + 0.0659144i
\(706\) −5.81700 + 20.0826i −0.218926 + 0.755819i
\(707\) 3.70926 + 7.06741i 0.139501 + 0.265797i
\(708\) −0.501836 0.793590i −0.0188601 0.0298249i
\(709\) 2.55955 15.7496i 0.0961260 0.591487i −0.893640 0.448785i \(-0.851857\pi\)
0.989766 0.142702i \(-0.0455790\pi\)
\(710\) −1.48596 6.02876i −0.0557670 0.226255i
\(711\) −3.20737 15.7108i −0.120286 0.589199i
\(712\) 23.6923 + 1.91264i 0.887906 + 0.0716792i
\(713\) −16.7662 + 26.5136i −0.627898 + 0.992941i
\(714\) 0.0105325 + 0.00933102i 0.000394171 + 0.000349205i
\(715\) 5.72262 1.73021i 0.214014 0.0647062i
\(716\) 1.68081 1.48906i 0.0628147 0.0556489i
\(717\) −2.43480 14.9819i −0.0909292 0.559510i
\(718\) 3.78632 1.61320i 0.141304 0.0602041i
\(719\) 25.5025 16.1268i 0.951081 0.601427i 0.0336977 0.999432i \(-0.489272\pi\)
0.917383 + 0.398005i \(0.130297\pi\)
\(720\) −3.79111 + 4.27928i −0.141286 + 0.159479i
\(721\) 2.98904 + 37.0260i 0.111318 + 1.37892i
\(722\) −14.0716 42.1497i −0.523692 1.56865i
\(723\) 3.90465 + 0.474110i 0.145215 + 0.0176324i
\(724\) −1.64225 1.23407i −0.0610338 0.0458640i
\(725\) 14.0403 17.1962i 0.521443 0.638652i
\(726\) 10.3384 + 8.44106i 0.383695 + 0.313277i
\(727\) −21.7474 31.5065i −0.806566 1.16851i −0.982892 0.184180i \(-0.941037\pi\)
0.176327 0.984332i \(-0.443578\pi\)
\(728\) −16.8919 + 14.1235i −0.626055 + 0.523452i
\(729\) 0.568065 0.822984i 0.0210394 0.0304809i
\(730\) 20.9895 6.07968i 0.776856 0.225019i
\(731\) 0.000899649 0 0.000568903i 3.32747e−5 0 2.10416e-5i
\(732\) −0.231161 0.0375673i −0.00854396 0.00138853i
\(733\) 43.3203 + 16.4292i 1.60007 + 0.606827i 0.983570 0.180526i \(-0.0577799\pi\)
0.616502 + 0.787353i \(0.288549\pi\)
\(734\) 19.6849 46.2021i 0.726582 1.70535i
\(735\) −3.10803 2.98531i −0.114642 0.110115i
\(736\) −3.20012 + 6.09733i −0.117958 + 0.224750i
\(737\) 2.01147 0.162383i 0.0740935 0.00598144i
\(738\) 1.43988 + 4.97103i 0.0530025 + 0.182986i
\(739\) −18.2755 + 17.5539i −0.672276 + 0.645730i −0.949021 0.315213i \(-0.897924\pi\)
0.276744 + 0.960944i \(0.410744\pi\)
\(740\) 0.520285 + 1.37188i 0.0191261 + 0.0504313i
\(741\) 22.8843 12.3533i 0.840674 0.453810i
\(742\) −9.41925 + 24.8365i −0.345791 + 0.911777i
\(743\) −6.88974 16.1708i −0.252760 0.593249i 0.744468 0.667658i \(-0.232703\pi\)
−0.997228 + 0.0744090i \(0.976293\pi\)
\(744\) 0.576521 + 14.3062i 0.0211363 + 0.524492i
\(745\) −21.1772 25.9373i −0.775872 0.950270i
\(746\) 38.6546i 1.41524i
\(747\) −10.3288 + 8.43319i −0.377910 + 0.308554i
\(748\) −0.000953642 0 0.000276226i −3.48686e−5 0 1.00998e-5i
\(749\) 1.89626 + 2.14043i 0.0692877 + 0.0782097i
\(750\) 11.0842 11.5399i 0.404737 0.421376i
\(751\) −14.9024 4.97516i −0.543798 0.181546i 0.0314803 0.999504i \(-0.489978\pi\)
−0.575278 + 0.817958i \(0.695106\pi\)
\(752\) −2.41323 3.21143i −0.0880015 0.117109i
\(753\) 3.23322 + 26.6279i 0.117825 + 0.970376i
\(754\) −19.2472 39.3698i −0.700943 1.43376i
\(755\) −2.11195 + 17.3935i −0.0768618 + 0.633014i
\(756\) 0.339754 0.196157i 0.0123567 0.00713417i
\(757\) 20.5393 15.4343i 0.746512 0.560968i −0.157988 0.987441i \(-0.550501\pi\)
0.904500 + 0.426473i \(0.140244\pi\)
\(758\) 0.643144 15.9594i 0.0233600 0.579673i
\(759\) 6.27620 2.38025i 0.227811 0.0863975i
\(760\) 33.1937 6.77655i 1.20406 0.245811i
\(761\) −19.7022 + 4.02222i −0.714203 + 0.145806i −0.543369 0.839494i \(-0.682851\pi\)
−0.170834 + 0.985300i \(0.554646\pi\)
\(762\) −4.25318 + 1.61302i −0.154076 + 0.0584335i
\(763\) 0.640107 15.8841i 0.0231734 0.575043i
\(764\) 2.27970 1.71308i 0.0824767 0.0619772i
\(765\) 0.00696547 0.00402151i 0.000251837 0.000145398i
\(766\) 3.13709 25.8362i 0.113348 0.933501i
\(767\) 17.8122 1.64738i 0.643162 0.0594833i
\(768\) 0.542433 + 4.46734i 0.0195734 + 0.161201i
\(769\) 7.75758 + 10.3235i 0.279746 + 0.372274i 0.917344 0.398095i \(-0.130329\pi\)
−0.637599 + 0.770369i \(0.720072\pi\)
\(770\) 4.38722 + 1.46467i 0.158104 + 0.0527830i
\(771\) 3.94937 4.11173i 0.142233 0.148080i
\(772\) 1.86820 + 2.10876i 0.0672379 + 0.0758959i