Properties

Label 225.2.q.a.106.5
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.5
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.24869 - 0.477974i) q^{2} +(1.49729 + 0.870698i) q^{3} +(3.00107 + 1.33616i) q^{4} +(-2.07749 - 0.827061i) q^{5} +(-2.95078 - 2.67360i) q^{6} +(-1.62043 + 2.80667i) q^{7} +(-2.39008 - 1.73649i) q^{8} +(1.48377 + 2.60738i) q^{9} +O(q^{10})\) \(q+(-2.24869 - 0.477974i) q^{2} +(1.49729 + 0.870698i) q^{3} +(3.00107 + 1.33616i) q^{4} +(-2.07749 - 0.827061i) q^{5} +(-2.95078 - 2.67360i) q^{6} +(-1.62043 + 2.80667i) q^{7} +(-2.39008 - 1.73649i) q^{8} +(1.48377 + 2.60738i) q^{9} +(4.27633 + 2.85279i) q^{10} +(-1.90993 - 0.405969i) q^{11} +(3.33008 + 4.61365i) q^{12} +(-3.48590 + 0.740952i) q^{13} +(4.98536 - 5.53681i) q^{14} +(-2.39049 - 3.04722i) q^{15} +(0.148264 + 0.164664i) q^{16} +(0.726639 + 0.527934i) q^{17} +(-2.09028 - 6.57240i) q^{18} +(0.733140 + 0.532657i) q^{19} +(-5.12960 - 5.25793i) q^{20} +(-4.87002 + 2.79150i) q^{21} +(4.10081 + 1.82580i) q^{22} +(-5.68729 + 6.31638i) q^{23} +(-2.06669 - 4.68108i) q^{24} +(3.63194 + 3.43642i) q^{25} +8.19288 q^{26} +(-0.0486015 + 5.19593i) q^{27} +(-8.61318 + 6.25784i) q^{28} +(0.780596 + 7.42687i) q^{29} +(3.91899 + 7.99485i) q^{30} +(0.809799 - 7.70472i) q^{31} +(2.69961 + 4.67586i) q^{32} +(-2.50625 - 2.27083i) q^{33} +(-1.38165 - 1.53448i) q^{34} +(5.68771 - 4.49063i) q^{35} +(0.969015 + 9.80748i) q^{36} +(-1.33249 + 4.10099i) q^{37} +(-1.39401 - 1.54820i) q^{38} +(-5.86456 - 1.92575i) q^{39} +(3.52918 + 5.58430i) q^{40} +(-4.43771 + 0.943263i) q^{41} +(12.2854 - 3.94948i) q^{42} +(-0.885445 + 1.53364i) q^{43} +(-5.18939 - 3.77032i) q^{44} +(-0.926058 - 6.64398i) q^{45} +(15.8080 - 11.4852i) q^{46} +(-0.808594 - 7.69326i) q^{47} +(0.0786221 + 0.375643i) q^{48} +(-1.75159 - 3.03384i) q^{49} +(-6.52459 - 9.46343i) q^{50} +(0.628320 + 1.42316i) q^{51} +(-11.4515 - 2.43408i) q^{52} +(5.94096 - 4.31636i) q^{53} +(2.59281 - 11.6608i) q^{54} +(3.63211 + 2.42303i) q^{55} +(8.74672 - 3.89429i) q^{56} +(0.633941 + 1.43589i) q^{57} +(1.79453 - 17.0739i) q^{58} +(13.5034 - 2.87024i) q^{59} +(-3.10245 - 12.3390i) q^{60} +(6.17017 + 1.31151i) q^{61} +(-5.50365 + 16.9385i) q^{62} +(-9.72239 - 0.0606264i) q^{63} +(-3.97259 - 12.2264i) q^{64} +(7.85475 + 1.34373i) q^{65} +(4.55039 + 6.30432i) q^{66} +(1.26718 - 12.0564i) q^{67} +(1.47529 + 2.55527i) q^{68} +(-14.0152 + 4.50555i) q^{69} +(-14.9363 + 7.37947i) q^{70} +(-8.02747 + 5.83230i) q^{71} +(0.981371 - 8.80840i) q^{72} +(0.246766 + 0.759468i) q^{73} +(4.95654 - 8.58498i) q^{74} +(2.44599 + 8.30766i) q^{75} +(1.48849 + 2.57813i) q^{76} +(4.23433 - 4.70270i) q^{77} +(12.2671 + 7.13352i) q^{78} +(0.0254700 + 0.242331i) q^{79} +(-0.171830 - 0.464711i) q^{80} +(-4.59685 + 7.73750i) q^{81} +10.4299 q^{82} +(4.22548 - 1.88131i) q^{83} +(-18.3451 + 1.87034i) q^{84} +(-1.07295 - 1.69775i) q^{85} +(2.72413 - 3.02546i) q^{86} +(-5.29778 + 11.7999i) q^{87} +(3.85993 + 4.28688i) q^{88} +(2.11267 + 6.50212i) q^{89} +(-1.09323 + 15.3829i) q^{90} +(3.56906 - 10.9844i) q^{91} +(-25.5076 + 11.3567i) q^{92} +(7.92099 - 10.8311i) q^{93} +(-1.85890 + 17.6863i) q^{94} +(-1.08255 - 1.71294i) q^{95} +(-0.0291570 + 9.35167i) q^{96} +(0.495505 + 4.71441i) q^{97} +(2.48869 + 7.65939i) q^{98} +(-1.77539 - 5.58228i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.24869 0.477974i −1.59007 0.337979i −0.673914 0.738810i \(-0.735388\pi\)
−0.916152 + 0.400831i \(0.868721\pi\)
\(3\) 1.49729 + 0.870698i 0.864462 + 0.502698i
\(4\) 3.00107 + 1.33616i 1.50053 + 0.668081i
\(5\) −2.07749 0.827061i −0.929082 0.369873i
\(6\) −2.95078 2.67360i −1.20465 1.09149i
\(7\) −1.62043 + 2.80667i −0.612465 + 1.06082i 0.378359 + 0.925659i \(0.376489\pi\)
−0.990824 + 0.135161i \(0.956845\pi\)
\(8\) −2.39008 1.73649i −0.845021 0.613944i
\(9\) 1.48377 + 2.60738i 0.494590 + 0.869126i
\(10\) 4.27633 + 2.85279i 1.35229 + 0.902132i
\(11\) −1.90993 0.405969i −0.575866 0.122404i −0.0892334 0.996011i \(-0.528442\pi\)
−0.486633 + 0.873607i \(0.661775\pi\)
\(12\) 3.33008 + 4.61365i 0.961312 + 1.33185i
\(13\) −3.48590 + 0.740952i −0.966816 + 0.205503i −0.664155 0.747595i \(-0.731208\pi\)
−0.302661 + 0.953098i \(0.597875\pi\)
\(14\) 4.98536 5.53681i 1.33239 1.47977i
\(15\) −2.39049 3.04722i −0.617222 0.786789i
\(16\) 0.148264 + 0.164664i 0.0370660 + 0.0411660i
\(17\) 0.726639 + 0.527934i 0.176236 + 0.128043i 0.672406 0.740182i \(-0.265261\pi\)
−0.496170 + 0.868225i \(0.665261\pi\)
\(18\) −2.09028 6.57240i −0.492684 1.54913i
\(19\) 0.733140 + 0.532657i 0.168194 + 0.122200i 0.668698 0.743534i \(-0.266852\pi\)
−0.500504 + 0.865734i \(0.666852\pi\)
\(20\) −5.12960 5.25793i −1.14701 1.17571i
\(21\) −4.87002 + 2.79150i −1.06272 + 0.609155i
\(22\) 4.10081 + 1.82580i 0.874295 + 0.389261i
\(23\) −5.68729 + 6.31638i −1.18588 + 1.31706i −0.248550 + 0.968619i \(0.579954\pi\)
−0.937332 + 0.348437i \(0.886713\pi\)
\(24\) −2.06669 4.68108i −0.421861 0.955521i
\(25\) 3.63194 + 3.43642i 0.726388 + 0.687285i
\(26\) 8.19288 1.60676
\(27\) −0.0486015 + 5.19593i −0.00935336 + 0.999956i
\(28\) −8.61318 + 6.25784i −1.62774 + 1.18262i
\(29\) 0.780596 + 7.42687i 0.144953 + 1.37914i 0.789115 + 0.614246i \(0.210540\pi\)
−0.644162 + 0.764889i \(0.722794\pi\)
\(30\) 3.91899 + 7.99485i 0.715506 + 1.45965i
\(31\) 0.809799 7.70472i 0.145444 1.38381i −0.641660 0.766989i \(-0.721754\pi\)
0.787104 0.616820i \(-0.211579\pi\)
\(32\) 2.69961 + 4.67586i 0.477228 + 0.826582i
\(33\) −2.50625 2.27083i −0.436282 0.395300i
\(34\) −1.38165 1.53448i −0.236951 0.263161i
\(35\) 5.68771 4.49063i 0.961399 0.759055i
\(36\) 0.969015 + 9.80748i 0.161503 + 1.63458i
\(37\) −1.33249 + 4.10099i −0.219061 + 0.674199i 0.779780 + 0.626054i \(0.215331\pi\)
−0.998840 + 0.0481453i \(0.984669\pi\)
\(38\) −1.39401 1.54820i −0.226138 0.251152i
\(39\) −5.86456 1.92575i −0.939082 0.308366i
\(40\) 3.52918 + 5.58430i 0.558013 + 0.882955i
\(41\) −4.43771 + 0.943263i −0.693053 + 0.147313i −0.540954 0.841052i \(-0.681937\pi\)
−0.152099 + 0.988365i \(0.548603\pi\)
\(42\) 12.2854 3.94948i 1.89568 0.609417i
\(43\) −0.885445 + 1.53364i −0.135029 + 0.233877i −0.925609 0.378482i \(-0.876446\pi\)
0.790579 + 0.612359i \(0.209779\pi\)
\(44\) −5.18939 3.77032i −0.782331 0.568397i
\(45\) −0.926058 6.64398i −0.138049 0.990425i
\(46\) 15.8080 11.4852i 2.33077 1.69340i
\(47\) −0.808594 7.69326i −0.117946 1.12218i −0.880102 0.474784i \(-0.842526\pi\)
0.762157 0.647393i \(-0.224141\pi\)
\(48\) 0.0786221 + 0.375643i 0.0113481 + 0.0542194i
\(49\) −1.75159 3.03384i −0.250227 0.433406i
\(50\) −6.52459 9.46343i −0.922717 1.33833i
\(51\) 0.628320 + 1.42316i 0.0879824 + 0.199282i
\(52\) −11.4515 2.43408i −1.58803 0.337547i
\(53\) 5.94096 4.31636i 0.816053 0.592897i −0.0995259 0.995035i \(-0.531733\pi\)
0.915579 + 0.402137i \(0.131733\pi\)
\(54\) 2.59281 11.6608i 0.352837 1.58683i
\(55\) 3.63211 + 2.42303i 0.489753 + 0.326721i
\(56\) 8.74672 3.89429i 1.16883 0.520397i
\(57\) 0.633941 + 1.43589i 0.0839675 + 0.190188i
\(58\) 1.79453 17.0739i 0.235634 2.24191i
\(59\) 13.5034 2.87024i 1.75799 0.373673i 0.787786 0.615950i \(-0.211228\pi\)
0.970207 + 0.242277i \(0.0778942\pi\)
\(60\) −3.10245 12.3390i −0.400525 1.59296i
\(61\) 6.17017 + 1.31151i 0.790009 + 0.167922i 0.585209 0.810882i \(-0.301012\pi\)
0.204800 + 0.978804i \(0.434346\pi\)
\(62\) −5.50365 + 16.9385i −0.698964 + 2.15119i
\(63\) −9.72239 0.0606264i −1.22491 0.00763821i
\(64\) −3.97259 12.2264i −0.496573 1.52830i
\(65\) 7.85475 + 1.34373i 0.974261 + 0.166670i
\(66\) 4.55039 + 6.30432i 0.560114 + 0.776008i
\(67\) 1.26718 12.0564i 0.154811 1.47292i −0.590949 0.806709i \(-0.701246\pi\)
0.745759 0.666215i \(-0.232087\pi\)
\(68\) 1.47529 + 2.55527i 0.178905 + 0.309872i
\(69\) −14.0152 + 4.50555i −1.68723 + 0.542405i
\(70\) −14.9363 + 7.37947i −1.78523 + 0.882015i
\(71\) −8.02747 + 5.83230i −0.952686 + 0.692167i −0.951441 0.307833i \(-0.900396\pi\)
−0.00124504 + 0.999999i \(0.500396\pi\)
\(72\) 0.981371 8.80840i 0.115656 1.03808i
\(73\) 0.246766 + 0.759468i 0.0288818 + 0.0888891i 0.964458 0.264235i \(-0.0851194\pi\)
−0.935577 + 0.353124i \(0.885119\pi\)
\(74\) 4.95654 8.58498i 0.576186 0.997983i
\(75\) 2.44599 + 8.30766i 0.282439 + 0.959285i
\(76\) 1.48849 + 2.57813i 0.170741 + 0.295732i
\(77\) 4.23433 4.70270i 0.482547 0.535922i
\(78\) 12.2671 + 7.13352i 1.38898 + 0.807713i
\(79\) 0.0254700 + 0.242331i 0.00286560 + 0.0272644i 0.995861 0.0908865i \(-0.0289700\pi\)
−0.992996 + 0.118151i \(0.962303\pi\)
\(80\) −0.171830 0.464711i −0.0192112 0.0519563i
\(81\) −4.59685 + 7.73750i −0.510761 + 0.859723i
\(82\) 10.4299 1.15179
\(83\) 4.22548 1.88131i 0.463807 0.206500i −0.161510 0.986871i \(-0.551636\pi\)
0.625317 + 0.780371i \(0.284970\pi\)
\(84\) −18.3451 + 1.87034i −2.00162 + 0.204071i
\(85\) −1.07295 1.69775i −0.116378 0.184147i
\(86\) 2.72413 3.02546i 0.293751 0.326243i
\(87\) −5.29778 + 11.7999i −0.567982 + 1.26508i
\(88\) 3.85993 + 4.28688i 0.411470 + 0.456983i
\(89\) 2.11267 + 6.50212i 0.223942 + 0.689224i 0.998397 + 0.0565946i \(0.0180243\pi\)
−0.774455 + 0.632629i \(0.781976\pi\)
\(90\) −1.09323 + 15.3829i −0.115237 + 1.62150i
\(91\) 3.56906 10.9844i 0.374139 1.15148i
\(92\) −25.5076 + 11.3567i −2.65936 + 1.18402i
\(93\) 7.92099 10.8311i 0.821368 1.12314i
\(94\) −1.85890 + 17.6863i −0.191731 + 1.82420i
\(95\) −1.08255 1.71294i −0.111067 0.175744i
\(96\) −0.0291570 + 9.35167i −0.00297583 + 0.954450i
\(97\) 0.495505 + 4.71441i 0.0503109 + 0.478676i 0.990449 + 0.137882i \(0.0440293\pi\)
−0.940138 + 0.340794i \(0.889304\pi\)
\(98\) 2.48869 + 7.65939i 0.251395 + 0.773715i
\(99\) −1.77539 5.58228i −0.178433 0.561040i
\(100\) 6.30808 + 15.1658i 0.630808 + 1.51658i
\(101\) 5.99315 10.3804i 0.596341 1.03289i −0.397016 0.917812i \(-0.629954\pi\)
0.993356 0.115080i \(-0.0367126\pi\)
\(102\) −0.732667 3.50056i −0.0725449 0.346607i
\(103\) 2.01495 + 0.897113i 0.198539 + 0.0883952i 0.503598 0.863938i \(-0.332009\pi\)
−0.305059 + 0.952334i \(0.598676\pi\)
\(104\) 9.61825 + 4.28232i 0.943147 + 0.419916i
\(105\) 12.4262 1.77151i 1.21267 0.172882i
\(106\) −15.4225 + 6.86654i −1.49797 + 0.666937i
\(107\) −4.62059 −0.446689 −0.223344 0.974740i \(-0.571697\pi\)
−0.223344 + 0.974740i \(0.571697\pi\)
\(108\) −7.08845 + 15.5284i −0.682086 + 1.49422i
\(109\) −4.18621 + 12.8838i −0.400966 + 1.23405i 0.523251 + 0.852178i \(0.324719\pi\)
−0.924217 + 0.381867i \(0.875281\pi\)
\(110\) −7.00935 7.18469i −0.668315 0.685034i
\(111\) −5.56586 + 4.98019i −0.528288 + 0.472699i
\(112\) −0.702408 + 0.149302i −0.0663714 + 0.0141077i
\(113\) 16.5497 3.51775i 1.55687 0.330922i 0.652536 0.757758i \(-0.273705\pi\)
0.904329 + 0.426836i \(0.140372\pi\)
\(114\) −0.739222 3.53188i −0.0692344 0.330790i
\(115\) 17.0393 8.41848i 1.58893 0.785027i
\(116\) −7.58088 + 23.3315i −0.703867 + 2.16628i
\(117\) −7.10422 7.98967i −0.656785 0.738645i
\(118\) −31.7369 −2.92162
\(119\) −2.65920 + 1.18395i −0.243769 + 0.108533i
\(120\) 0.421986 + 11.4342i 0.0385219 + 1.04379i
\(121\) −6.56597 2.92336i −0.596906 0.265760i
\(122\) −13.2479 5.89836i −1.19941 0.534013i
\(123\) −7.46584 2.45156i −0.673172 0.221050i
\(124\) 12.7250 22.0404i 1.14274 1.97928i
\(125\) −4.70319 10.1430i −0.420666 0.907215i
\(126\) 21.8337 + 4.78338i 1.94510 + 0.426138i
\(127\) −2.60072 8.00418i −0.230776 0.710256i −0.997654 0.0684626i \(-0.978191\pi\)
0.766877 0.641794i \(-0.221809\pi\)
\(128\) 1.96050 + 18.6529i 0.173285 + 1.64870i
\(129\) −2.66110 + 1.52535i −0.234297 + 0.134299i
\(130\) −17.0206 6.77601i −1.49281 0.594295i
\(131\) −1.51655 + 14.4290i −0.132501 + 1.26067i 0.703005 + 0.711185i \(0.251841\pi\)
−0.835506 + 0.549481i \(0.814825\pi\)
\(132\) −4.48724 10.1637i −0.390564 0.884633i
\(133\) −2.68299 + 1.19455i −0.232645 + 0.103580i
\(134\) −8.61215 + 26.5055i −0.743976 + 2.28972i
\(135\) 4.39832 10.7543i 0.378547 0.925582i
\(136\) −0.819971 2.52361i −0.0703119 0.216398i
\(137\) −4.03189 4.47786i −0.344467 0.382570i 0.545871 0.837869i \(-0.316199\pi\)
−0.890338 + 0.455299i \(0.849532\pi\)
\(138\) 33.6694 3.43270i 2.86613 0.292210i
\(139\) −5.52782 + 6.13927i −0.468864 + 0.520726i −0.930475 0.366357i \(-0.880605\pi\)
0.461611 + 0.887083i \(0.347272\pi\)
\(140\) 23.0694 5.87699i 1.94972 0.496696i
\(141\) 5.48780 12.2231i 0.462156 1.02937i
\(142\) 20.8390 9.27812i 1.74877 0.778603i
\(143\) 6.95864 0.581911
\(144\) −0.209351 + 0.630904i −0.0174460 + 0.0525753i
\(145\) 4.52079 16.0749i 0.375432 1.33494i
\(146\) −0.191895 1.82576i −0.0158813 0.151101i
\(147\) 0.0189180 6.06765i 0.00156033 0.500451i
\(148\) −9.47849 + 10.5269i −0.779127 + 0.865308i
\(149\) 5.47333 + 9.48009i 0.448393 + 0.776639i 0.998282 0.0585987i \(-0.0186632\pi\)
−0.549889 + 0.835238i \(0.685330\pi\)
\(150\) −1.52943 19.8505i −0.124878 1.62079i
\(151\) −10.5024 + 18.1907i −0.854675 + 1.48034i 0.0222707 + 0.999752i \(0.492910\pi\)
−0.876946 + 0.480589i \(0.840423\pi\)
\(152\) −0.827306 2.54619i −0.0671034 0.206523i
\(153\) −0.298359 + 2.67796i −0.0241209 + 0.216500i
\(154\) −11.7695 + 8.55102i −0.948411 + 0.689061i
\(155\) −8.05462 + 15.3367i −0.646963 + 1.23188i
\(156\) −15.0268 13.6153i −1.20311 1.09010i
\(157\) 3.25622 + 5.63994i 0.259875 + 0.450116i 0.966208 0.257763i \(-0.0829854\pi\)
−0.706333 + 0.707879i \(0.749652\pi\)
\(158\) 0.0585537 0.557102i 0.00465829 0.0443206i
\(159\) 12.6536 1.29007i 1.00350 0.102309i
\(160\) −1.74119 11.9468i −0.137653 0.944477i
\(161\) −8.51211 26.1976i −0.670848 2.06466i
\(162\) 14.0352 15.2021i 1.10271 1.19439i
\(163\) −1.26328 + 3.88796i −0.0989474 + 0.304529i −0.988262 0.152766i \(-0.951182\pi\)
0.889315 + 0.457295i \(0.151182\pi\)
\(164\) −14.5782 3.09869i −1.13837 0.241967i
\(165\) 3.32860 + 6.79045i 0.259131 + 0.528636i
\(166\) −10.4010 + 2.21081i −0.807276 + 0.171592i
\(167\) −1.75234 + 16.6724i −0.135600 + 1.29015i 0.689135 + 0.724633i \(0.257991\pi\)
−0.824735 + 0.565519i \(0.808676\pi\)
\(168\) 16.4872 + 1.78486i 1.27201 + 0.137705i
\(169\) −0.273579 + 0.121805i −0.0210445 + 0.00936963i
\(170\) 1.60126 + 4.33057i 0.122811 + 0.332140i
\(171\) −0.301028 + 2.70191i −0.0230202 + 0.206621i
\(172\) −4.70647 + 3.41945i −0.358865 + 0.260730i
\(173\) 6.43913 + 1.36868i 0.489558 + 0.104059i 0.446075 0.894995i \(-0.352821\pi\)
0.0434826 + 0.999054i \(0.486155\pi\)
\(174\) 17.5531 24.0021i 1.33070 1.81959i
\(175\) −15.5302 + 4.62516i −1.17397 + 0.349630i
\(176\) −0.216326 0.374687i −0.0163062 0.0282431i
\(177\) 22.7176 + 7.45980i 1.70756 + 0.560713i
\(178\) −1.64289 15.6311i −0.123140 1.17160i
\(179\) −8.82628 + 6.41267i −0.659707 + 0.479305i −0.866564 0.499066i \(-0.833677\pi\)
0.206857 + 0.978371i \(0.433677\pi\)
\(180\) 6.09826 21.1764i 0.454537 1.57839i
\(181\) 7.04839 + 5.12096i 0.523903 + 0.380638i 0.818072 0.575116i \(-0.195043\pi\)
−0.294169 + 0.955753i \(0.595043\pi\)
\(182\) −13.2760 + 22.9947i −0.984082 + 1.70448i
\(183\) 8.09662 + 7.33607i 0.598519 + 0.542298i
\(184\) 24.5614 5.22070i 1.81069 0.384875i
\(185\) 6.16002 7.41773i 0.452893 0.545362i
\(186\) −22.9889 + 20.5699i −1.68563 + 1.50825i
\(187\) −1.17351 1.30331i −0.0858153 0.0953076i
\(188\) 7.85279 24.1684i 0.572723 1.76266i
\(189\) −14.5045 8.55604i −1.05505 0.622360i
\(190\) 1.61558 + 4.36931i 0.117207 + 0.316983i
\(191\) −6.69443 7.43491i −0.484392 0.537971i 0.450560 0.892746i \(-0.351224\pi\)
−0.934952 + 0.354775i \(0.884558\pi\)
\(192\) 4.69735 21.7654i 0.339002 1.57078i
\(193\) 5.77682 + 10.0057i 0.415824 + 0.720229i 0.995515 0.0946081i \(-0.0301598\pi\)
−0.579690 + 0.814837i \(0.696826\pi\)
\(194\) 1.13913 10.8381i 0.0817848 0.778130i
\(195\) 10.5909 + 8.85107i 0.758428 + 0.633839i
\(196\) −1.20293 11.4452i −0.0859239 0.817511i
\(197\) 10.5844 7.69002i 0.754108 0.547891i −0.142990 0.989724i \(-0.545672\pi\)
0.897097 + 0.441833i \(0.145672\pi\)
\(198\) 1.32411 + 13.4014i 0.0941004 + 0.952398i
\(199\) 2.60687 0.184796 0.0923980 0.995722i \(-0.470547\pi\)
0.0923980 + 0.995722i \(0.470547\pi\)
\(200\) −2.71330 14.5202i −0.191859 1.02673i
\(201\) 12.3948 16.9486i 0.874264 1.19546i
\(202\) −18.4383 + 20.4778i −1.29732 + 1.44082i
\(203\) −22.1097 9.84385i −1.55179 0.690903i
\(204\) −0.0159338 + 5.11052i −0.00111559 + 0.357808i
\(205\) 9.99943 + 1.71063i 0.698391 + 0.119476i
\(206\) −4.10221 2.98043i −0.285814 0.207656i
\(207\) −24.9078 5.45687i −1.73121 0.379279i
\(208\) −0.638842 0.464146i −0.0442957 0.0321827i
\(209\) −1.18400 1.31497i −0.0818993 0.0909584i
\(210\) −28.7893 1.95580i −1.98665 0.134963i
\(211\) 17.8584 19.8337i 1.22942 1.36541i 0.321151 0.947028i \(-0.395930\pi\)
0.908271 0.418383i \(-0.137403\pi\)
\(212\) 23.5966 5.01560i 1.62062 0.344473i
\(213\) −17.0976 + 1.74316i −1.17151 + 0.119439i
\(214\) 10.3903 + 2.20852i 0.710265 + 0.150971i
\(215\) 3.10791 2.45380i 0.211958 0.167348i
\(216\) 9.13886 12.3343i 0.621821 0.839242i
\(217\) 20.3124 + 14.7578i 1.37889 + 1.00182i
\(218\) 15.5716 26.9708i 1.05464 1.82670i
\(219\) −0.291786 + 1.35201i −0.0197171 + 0.0913601i
\(220\) 7.66264 + 12.1247i 0.516615 + 0.817450i
\(221\) −2.92417 1.30192i −0.196701 0.0875769i
\(222\) 14.8963 8.53857i 0.999775 0.573072i
\(223\) −20.9953 4.46269i −1.40595 0.298844i −0.558404 0.829569i \(-0.688586\pi\)
−0.847544 + 0.530725i \(0.821920\pi\)
\(224\) −17.4981 −1.16914
\(225\) −3.57110 + 14.5687i −0.238073 + 0.971247i
\(226\) −38.8966 −2.58736
\(227\) 5.14571 + 1.09375i 0.341533 + 0.0725950i 0.375485 0.926828i \(-0.377476\pi\)
−0.0339524 + 0.999423i \(0.510809\pi\)
\(228\) −0.0160764 + 5.15624i −0.00106468 + 0.341480i
\(229\) 15.9866 + 7.11768i 1.05642 + 0.470349i 0.860066 0.510183i \(-0.170422\pi\)
0.196356 + 0.980533i \(0.437089\pi\)
\(230\) −42.3400 + 10.7862i −2.79182 + 0.711222i
\(231\) 10.4347 3.35450i 0.686550 0.220710i
\(232\) 11.0310 19.1063i 0.724223 1.25439i
\(233\) −7.95794 5.78178i −0.521342 0.378777i 0.295767 0.955260i \(-0.404425\pi\)
−0.817109 + 0.576483i \(0.804425\pi\)
\(234\) 12.1564 + 21.3619i 0.794686 + 1.39647i
\(235\) −4.68294 + 16.6514i −0.305482 + 1.08622i
\(236\) 44.3597 + 9.42895i 2.88757 + 0.613772i
\(237\) −0.172861 + 0.385017i −0.0112285 + 0.0250095i
\(238\) 6.54563 1.39132i 0.424290 0.0901857i
\(239\) −11.1518 + 12.3853i −0.721347 + 0.801137i −0.986620 0.163036i \(-0.947871\pi\)
0.265273 + 0.964173i \(0.414538\pi\)
\(240\) 0.147343 0.845421i 0.00951095 0.0545717i
\(241\) 14.8435 + 16.4854i 0.956156 + 1.06192i 0.998026 + 0.0627962i \(0.0200018\pi\)
−0.0418699 + 0.999123i \(0.513332\pi\)
\(242\) 13.3676 + 9.71210i 0.859299 + 0.624317i
\(243\) −13.6199 + 7.58284i −0.873714 + 0.486439i
\(244\) 16.7647 + 12.1803i 1.07325 + 0.779762i
\(245\) 1.12974 + 7.75145i 0.0721764 + 0.495222i
\(246\) 15.6166 + 9.08128i 0.995678 + 0.579002i
\(247\) −2.95033 1.31357i −0.187725 0.0835805i
\(248\) −15.3147 + 17.0087i −0.972484 + 1.08005i
\(249\) 7.96483 + 0.862253i 0.504751 + 0.0546431i
\(250\) 5.72795 + 25.0564i 0.362267 + 1.58471i
\(251\) −7.63595 −0.481977 −0.240989 0.970528i \(-0.577472\pi\)
−0.240989 + 0.970528i \(0.577472\pi\)
\(252\) −29.0965 13.1726i −1.83291 0.829798i
\(253\) 13.4266 9.75499i 0.844122 0.613291i
\(254\) 2.02242 + 19.2420i 0.126898 + 1.20735i
\(255\) −0.128294 3.47625i −0.00803406 0.217691i
\(256\) 1.81950 17.3113i 0.113718 1.08196i
\(257\) −3.94709 6.83657i −0.246213 0.426453i 0.716259 0.697835i \(-0.245853\pi\)
−0.962472 + 0.271381i \(0.912520\pi\)
\(258\) 6.71308 2.15810i 0.417938 0.134357i
\(259\) −9.35091 10.3852i −0.581037 0.645307i
\(260\) 21.7772 + 14.5278i 1.35056 + 0.900979i
\(261\) −18.2064 + 13.0551i −1.12695 + 0.808089i
\(262\) 10.3069 31.7215i 0.636764 1.95976i
\(263\) −6.22580 6.91445i −0.383899 0.426364i 0.519962 0.854190i \(-0.325946\pi\)
−0.903861 + 0.427826i \(0.859280\pi\)
\(264\) 2.04686 + 9.77955i 0.125976 + 0.601890i
\(265\) −15.9122 + 4.05366i −0.977477 + 0.249015i
\(266\) 6.60419 1.40376i 0.404929 0.0860703i
\(267\) −2.49810 + 11.5751i −0.152881 + 0.708383i
\(268\) 19.9122 34.4889i 1.21633 2.10675i
\(269\) 12.3841 + 8.99756i 0.755071 + 0.548591i 0.897394 0.441229i \(-0.145457\pi\)
−0.142324 + 0.989820i \(0.545457\pi\)
\(270\) −15.0307 + 22.0808i −0.914741 + 1.34380i
\(271\) −6.20201 + 4.50602i −0.376745 + 0.273721i −0.760002 0.649920i \(-0.774802\pi\)
0.383257 + 0.923642i \(0.374802\pi\)
\(272\) 0.0208028 + 0.197925i 0.00126135 + 0.0120010i
\(273\) 14.9080 13.3393i 0.902276 0.807333i
\(274\) 6.92617 + 11.9965i 0.418425 + 0.724734i
\(275\) −5.54168 8.03779i −0.334176 0.484697i
\(276\) −48.0807 5.20510i −2.89412 0.313310i
\(277\) −0.504942 0.107329i −0.0303390 0.00644876i 0.192717 0.981254i \(-0.438270\pi\)
−0.223056 + 0.974806i \(0.571603\pi\)
\(278\) 15.3648 11.1632i 0.921519 0.669523i
\(279\) 21.2907 9.32058i 1.27464 0.558009i
\(280\) −21.3921 + 0.856285i −1.27842 + 0.0511728i
\(281\) 2.40434 1.07048i 0.143431 0.0638595i −0.333766 0.942656i \(-0.608320\pi\)
0.477197 + 0.878796i \(0.341653\pi\)
\(282\) −18.1827 + 24.8630i −1.08276 + 1.48057i
\(283\) −3.20483 + 30.4919i −0.190507 + 1.81255i 0.314302 + 0.949323i \(0.398230\pi\)
−0.504809 + 0.863231i \(0.668437\pi\)
\(284\) −31.8839 + 6.77713i −1.89196 + 0.402148i
\(285\) −0.129441 3.50735i −0.00766744 0.207757i
\(286\) −15.6478 3.32605i −0.925276 0.196674i
\(287\) 4.54357 13.9837i 0.268198 0.825429i
\(288\) −8.18613 + 13.9768i −0.482372 + 0.823590i
\(289\) −5.00400 15.4007i −0.294353 0.905925i
\(290\) −17.8492 + 33.9866i −1.04814 + 1.99576i
\(291\) −3.36291 + 7.49029i −0.197137 + 0.439088i
\(292\) −0.274210 + 2.60894i −0.0160469 + 0.152676i
\(293\) −14.6607 25.3931i −0.856488 1.48348i −0.875258 0.483656i \(-0.839309\pi\)
0.0187704 0.999824i \(-0.494025\pi\)
\(294\) −2.94272 + 13.6352i −0.171623 + 0.795223i
\(295\) −30.4271 5.20524i −1.77153 0.303061i
\(296\) 10.3061 7.48784i 0.599031 0.435222i
\(297\) 2.20221 9.90413i 0.127785 0.574696i
\(298\) −7.77660 23.9339i −0.450486 1.38645i
\(299\) 15.1452 26.2323i 0.875871 1.51705i
\(300\) −3.75979 + 28.2001i −0.217071 + 1.62813i
\(301\) −2.86960 4.97030i −0.165401 0.286483i
\(302\) 32.3114 35.8855i 1.85931 2.06498i
\(303\) 18.0117 10.3243i 1.03475 0.593117i
\(304\) 0.0209889 + 0.199696i 0.00120379 + 0.0114533i
\(305\) −11.7338 7.82776i −0.671874 0.448216i
\(306\) 1.95091 5.87929i 0.111526 0.336097i
\(307\) 9.35518 0.533929 0.266964 0.963706i \(-0.413979\pi\)
0.266964 + 0.963706i \(0.413979\pi\)
\(308\) 18.9911 8.45537i 1.08212 0.481789i
\(309\) 2.23585 + 3.09765i 0.127193 + 0.176219i
\(310\) 25.4429 30.6377i 1.44506 1.74010i
\(311\) 13.8023 15.3290i 0.782655 0.869227i −0.211479 0.977383i \(-0.567828\pi\)
0.994134 + 0.108156i \(0.0344946\pi\)
\(312\) 10.6727 + 14.7865i 0.604224 + 0.837119i
\(313\) 13.6756 + 15.1883i 0.772990 + 0.858492i 0.993135 0.116975i \(-0.0373198\pi\)
−0.220145 + 0.975467i \(0.570653\pi\)
\(314\) −4.62649 14.2389i −0.261088 0.803547i
\(315\) 20.1480 + 8.16696i 1.13521 + 0.460156i
\(316\) −0.247356 + 0.761283i −0.0139149 + 0.0428255i
\(317\) −0.0799592 + 0.0356001i −0.00449095 + 0.00199950i −0.408981 0.912543i \(-0.634116\pi\)
0.404490 + 0.914542i \(0.367449\pi\)
\(318\) −29.0707 3.14712i −1.63020 0.176482i
\(319\) 1.52419 14.5017i 0.0853384 0.811940i
\(320\) −1.85893 + 28.6857i −0.103918 + 1.60358i
\(321\) −6.91837 4.02314i −0.386146 0.224550i
\(322\) 6.61935 + 62.9789i 0.368882 + 3.50968i
\(323\) 0.251520 + 0.774099i 0.0139950 + 0.0430720i
\(324\) −24.1340 + 17.0786i −1.34078 + 0.948813i
\(325\) −15.2068 9.28795i −0.843522 0.515203i
\(326\) 4.69907 8.13902i 0.260257 0.450779i
\(327\) −17.4859 + 15.6459i −0.966972 + 0.865222i
\(328\) 12.2444 + 5.45158i 0.676086 + 0.301013i
\(329\) 22.9027 + 10.1969i 1.26267 + 0.562175i
\(330\) −4.23934 16.8606i −0.233368 0.928146i
\(331\) 20.6249 9.18279i 1.13365 0.504732i 0.247846 0.968799i \(-0.420277\pi\)
0.885800 + 0.464067i \(0.153610\pi\)
\(332\) 15.1947 0.833917
\(333\) −12.6700 + 2.61062i −0.694310 + 0.143061i
\(334\) 11.9095 36.6536i 0.651658 2.00560i
\(335\) −12.6039 + 23.9990i −0.688627 + 1.31121i
\(336\) −1.18171 0.388038i −0.0644674 0.0211692i
\(337\) −3.25281 + 0.691407i −0.177192 + 0.0376633i −0.295653 0.955295i \(-0.595537\pi\)
0.118461 + 0.992959i \(0.462204\pi\)
\(338\) 0.673414 0.143139i 0.0366289 0.00778572i
\(339\) 27.8426 + 9.14270i 1.51221 + 0.496563i
\(340\) −0.951531 6.52871i −0.0516040 0.354069i
\(341\) −4.67454 + 14.3867i −0.253140 + 0.779086i
\(342\) 1.96837 5.93189i 0.106437 0.320760i
\(343\) −11.3327 −0.611909
\(344\) 4.77944 2.12794i 0.257690 0.114731i
\(345\) 32.8428 + 2.23118i 1.76820 + 0.120123i
\(346\) −13.8254 6.15548i −0.743259 0.330920i
\(347\) −12.6001 5.60992i −0.676408 0.301156i 0.0396331 0.999214i \(-0.487381\pi\)
−0.716041 + 0.698058i \(0.754048\pi\)
\(348\) −31.6655 + 28.3335i −1.69745 + 1.51883i
\(349\) −7.45084 + 12.9052i −0.398834 + 0.690801i −0.993582 0.113111i \(-0.963918\pi\)
0.594748 + 0.803912i \(0.297252\pi\)
\(350\) 37.1334 2.97753i 1.98486 0.159156i
\(351\) −3.68051 18.1485i −0.196451 0.968695i
\(352\) −3.25781 10.0265i −0.173642 0.534415i
\(353\) 0.987835 + 9.39862i 0.0525771 + 0.500238i 0.988845 + 0.148950i \(0.0475895\pi\)
−0.936268 + 0.351288i \(0.885744\pi\)
\(354\) −47.5194 27.6332i −2.52563 1.46869i
\(355\) 21.5007 5.47734i 1.14114 0.290707i
\(356\) −2.34763 + 22.3362i −0.124424 + 1.18382i
\(357\) −5.01247 0.542638i −0.265288 0.0287195i
\(358\) 22.9127 10.2014i 1.21097 0.539160i
\(359\) 0.603190 1.85643i 0.0318351 0.0979785i −0.933876 0.357596i \(-0.883596\pi\)
0.965712 + 0.259618i \(0.0835965\pi\)
\(360\) −9.32388 + 17.4877i −0.491411 + 0.921684i
\(361\) −5.61755 17.2890i −0.295661 0.909950i
\(362\) −13.4020 14.8844i −0.704393 0.782307i
\(363\) −7.28582 10.0941i −0.382406 0.529803i
\(364\) 25.3880 28.1962i 1.33069 1.47788i
\(365\) 0.115472 1.78188i 0.00604408 0.0932679i
\(366\) −14.7004 20.3665i −0.768400 1.06458i
\(367\) −6.64186 + 2.95715i −0.346702 + 0.154362i −0.572698 0.819767i \(-0.694103\pi\)
0.225996 + 0.974128i \(0.427436\pi\)
\(368\) −1.88330 −0.0981738
\(369\) −9.04398 10.1712i −0.470811 0.529491i
\(370\) −17.3975 + 13.7359i −0.904451 + 0.714093i
\(371\) 2.48768 + 23.6687i 0.129154 + 1.22882i
\(372\) 38.2436 21.9212i 1.98284 1.13656i
\(373\) −8.70785 + 9.67105i −0.450875 + 0.500748i −0.925136 0.379637i \(-0.876049\pi\)
0.474260 + 0.880385i \(0.342716\pi\)
\(374\) 2.01591 + 3.49165i 0.104240 + 0.180549i
\(375\) 1.78941 19.2821i 0.0924049 0.995722i
\(376\) −11.4267 + 19.7916i −0.589287 + 1.02067i
\(377\) −8.22403 25.3110i −0.423559 1.30358i
\(378\) 28.5265 + 26.1727i 1.46725 + 1.34618i
\(379\) 0.718684 0.522154i 0.0369163 0.0268213i −0.569174 0.822217i \(-0.692737\pi\)
0.606090 + 0.795396i \(0.292737\pi\)
\(380\) −0.960043 6.58712i −0.0492492 0.337912i
\(381\) 3.07519 14.2490i 0.157547 0.730000i
\(382\) 11.5000 + 19.9186i 0.588391 + 1.01912i
\(383\) −1.96783 + 18.7226i −0.100551 + 0.956681i 0.821656 + 0.569984i \(0.193051\pi\)
−0.922207 + 0.386697i \(0.873616\pi\)
\(384\) −13.3056 + 29.6358i −0.678997 + 1.51235i
\(385\) −12.6862 + 6.26777i −0.646549 + 0.319435i
\(386\) −8.20780 25.2610i −0.417766 1.28575i
\(387\) −5.31257 0.0331278i −0.270053 0.00168398i
\(388\) −4.81217 + 14.8103i −0.244301 + 0.751881i
\(389\) 31.7812 + 6.75530i 1.61137 + 0.342507i 0.923581 0.383403i \(-0.125248\pi\)
0.687790 + 0.725910i \(0.258581\pi\)
\(390\) −19.5850 24.9655i −0.991726 1.26418i
\(391\) −7.46724 + 1.58721i −0.377635 + 0.0802687i
\(392\) −1.08181 + 10.2927i −0.0546397 + 0.519862i
\(393\) −14.8340 + 20.2840i −0.748276 + 1.02319i
\(394\) −27.4767 + 12.2334i −1.38426 + 0.616311i
\(395\) 0.147509 0.524506i 0.00742197 0.0263907i
\(396\) 2.13077 19.1250i 0.107075 0.961068i
\(397\) −15.9764 + 11.6075i −0.801832 + 0.582565i −0.911451 0.411409i \(-0.865037\pi\)
0.109619 + 0.993974i \(0.465037\pi\)
\(398\) −5.86204 1.24602i −0.293838 0.0624571i
\(399\) −5.05731 0.547492i −0.253182 0.0274089i
\(400\) −0.0273688 + 1.10755i −0.00136844 + 0.0553774i
\(401\) 5.22664 + 9.05280i 0.261006 + 0.452075i 0.966509 0.256631i \(-0.0826125\pi\)
−0.705504 + 0.708706i \(0.749279\pi\)
\(402\) −35.9732 + 32.1879i −1.79418 + 1.60538i
\(403\) 2.88595 + 27.4579i 0.143759 + 1.36778i
\(404\) 31.8558 23.1446i 1.58488 1.15149i
\(405\) 15.9493 12.2727i 0.792527 0.609836i
\(406\) 45.0127 + 32.7036i 2.23394 + 1.62305i
\(407\) 4.20985 7.29167i 0.208674 0.361435i
\(408\) 0.969567 4.49253i 0.0480007 0.222413i
\(409\) −7.20958 + 1.53244i −0.356491 + 0.0757744i −0.382676 0.923883i \(-0.624997\pi\)
0.0261852 + 0.999657i \(0.491664\pi\)
\(410\) −21.6680 8.62616i −1.07011 0.426015i
\(411\) −2.13805 10.2152i −0.105462 0.503880i
\(412\) 4.84831 + 5.38460i 0.238859 + 0.265280i
\(413\) −13.8255 + 42.5506i −0.680309 + 2.09378i
\(414\) 53.4018 + 24.1761i 2.62455 + 1.18819i
\(415\) −10.3344 + 0.413665i −0.507294 + 0.0203060i
\(416\) −12.8751 14.2993i −0.631256 0.701081i
\(417\) −13.6222 + 4.37922i −0.667083 + 0.214451i
\(418\) 2.03394 + 3.52289i 0.0994833 + 0.172310i
\(419\) 0.225746 2.14783i 0.0110284 0.104928i −0.987623 0.156847i \(-0.949867\pi\)
0.998651 + 0.0519187i \(0.0165337\pi\)
\(420\) 39.6588 + 11.2869i 1.93515 + 0.550746i
\(421\) −3.30546 31.4493i −0.161098 1.53275i −0.714383 0.699755i \(-0.753292\pi\)
0.553285 0.832992i \(-0.313374\pi\)
\(422\) −49.6380 + 36.0641i −2.41634 + 1.75557i
\(423\) 18.8595 13.5233i 0.916979 0.657527i
\(424\) −21.6947 −1.05359
\(425\) 0.824904 + 4.41447i 0.0400137 + 0.214133i
\(426\) 39.2805 + 4.25241i 1.90315 + 0.206030i
\(427\) −13.6793 + 15.1924i −0.661988 + 0.735212i
\(428\) −13.8667 6.17385i −0.670272 0.298424i
\(429\) 10.4191 + 6.05887i 0.503040 + 0.292525i
\(430\) −8.16160 + 4.03233i −0.393587 + 0.194456i
\(431\) 14.4718 + 10.5144i 0.697081 + 0.506459i 0.878980 0.476858i \(-0.158225\pi\)
−0.181899 + 0.983317i \(0.558225\pi\)
\(432\) −0.862787 + 0.762366i −0.0415109 + 0.0366794i
\(433\) 26.2239 + 19.0528i 1.26024 + 0.915620i 0.998770 0.0495910i \(-0.0157918\pi\)
0.261473 + 0.965211i \(0.415792\pi\)
\(434\) −38.6224 42.8945i −1.85394 2.05900i
\(435\) 20.7653 20.1325i 0.995620 0.965281i
\(436\) −29.7779 + 33.0718i −1.42610 + 1.58385i
\(437\) −7.53404 + 1.60141i −0.360402 + 0.0766058i
\(438\) 1.30236 2.90078i 0.0622292 0.138605i
\(439\) −11.8370 2.51603i −0.564949 0.120084i −0.0834213 0.996514i \(-0.526585\pi\)
−0.481528 + 0.876431i \(0.659918\pi\)
\(440\) −4.47345 12.0984i −0.213263 0.576767i
\(441\) 5.31142 9.06858i 0.252925 0.431837i
\(442\) 5.95327 + 4.32530i 0.283168 + 0.205734i
\(443\) −5.38308 + 9.32377i −0.255758 + 0.442986i −0.965101 0.261878i \(-0.915658\pi\)
0.709343 + 0.704863i \(0.248992\pi\)
\(444\) −23.3579 + 7.50899i −1.10851 + 0.356361i
\(445\) 0.988603 15.2554i 0.0468643 0.723176i
\(446\) 45.0789 + 20.0704i 2.13455 + 0.950362i
\(447\) −0.0591146 + 18.9601i −0.00279602 + 0.896781i
\(448\) 40.7527 + 8.66224i 1.92538 + 0.409253i
\(449\) −27.1471 −1.28115 −0.640575 0.767896i \(-0.721304\pi\)
−0.640575 + 0.767896i \(0.721304\pi\)
\(450\) 14.9938 31.0537i 0.706813 1.46388i
\(451\) 8.85865 0.417138
\(452\) 54.3671 + 11.5561i 2.55721 + 0.543552i
\(453\) −31.5638 + 18.0924i −1.48300 + 0.850056i
\(454\) −11.0483 4.91903i −0.518524 0.230862i
\(455\) −16.4995 + 19.8682i −0.773508 + 0.931437i
\(456\) 0.978240 4.53272i 0.0458103 0.212264i
\(457\) 7.80737 13.5228i 0.365213 0.632568i −0.623597 0.781746i \(-0.714329\pi\)
0.988810 + 0.149178i \(0.0476627\pi\)
\(458\) −32.5468 23.6466i −1.52081 1.10493i
\(459\) −2.77842 + 3.74991i −0.129686 + 0.175031i
\(460\) 62.3846 2.49714i 2.90870 0.116430i
\(461\) −7.33926 1.56001i −0.341823 0.0726568i 0.0338016 0.999429i \(-0.489239\pi\)
−0.375625 + 0.926772i \(0.622572\pi\)
\(462\) −25.0677 + 2.55573i −1.16626 + 0.118903i
\(463\) 32.3798 6.88254i 1.50482 0.319859i 0.619556 0.784952i \(-0.287313\pi\)
0.885262 + 0.465093i \(0.153979\pi\)
\(464\) −1.10720 + 1.22967i −0.0514006 + 0.0570862i
\(465\) −25.4138 + 15.9504i −1.17854 + 0.739684i
\(466\) 15.1314 + 16.8051i 0.700949 + 0.778483i
\(467\) −2.65707 1.93048i −0.122955 0.0893318i 0.524608 0.851344i \(-0.324212\pi\)
−0.647563 + 0.762012i \(0.724212\pi\)
\(468\) −10.6448 33.4699i −0.492054 1.54715i
\(469\) 31.7849 + 23.0931i 1.46769 + 1.06634i
\(470\) 18.4895 35.2056i 0.852855 1.62391i
\(471\) −0.0351687 + 11.2798i −0.00162049 + 0.519747i
\(472\) −37.2584 16.5885i −1.71495 0.763547i
\(473\) 2.31375 2.56968i 0.106386 0.118154i
\(474\) 0.572739 0.783161i 0.0263068 0.0359718i
\(475\) 0.832284 + 4.45396i 0.0381878 + 0.204362i
\(476\) −9.56241 −0.438292
\(477\) 20.0694 + 9.08585i 0.918915 + 0.416012i
\(478\) 30.9967 22.5204i 1.41776 1.03006i
\(479\) −0.861271 8.19445i −0.0393525 0.374414i −0.996419 0.0845471i \(-0.973056\pi\)
0.957067 0.289867i \(-0.0936110\pi\)
\(480\) 7.79497 19.4039i 0.355790 0.885662i
\(481\) 1.60631 15.2830i 0.0732413 0.696844i
\(482\) −25.4989 44.1655i −1.16145 2.01168i
\(483\) 10.0651 46.6369i 0.457976 2.12205i
\(484\) −15.7988 17.5464i −0.718129 0.797563i
\(485\) 2.86970 10.2040i 0.130306 0.463338i
\(486\) 34.2513 10.5415i 1.55367 0.478173i
\(487\) 4.69938 14.4632i 0.212949 0.655391i −0.786343 0.617790i \(-0.788028\pi\)
0.999293 0.0376012i \(-0.0119716\pi\)
\(488\) −12.4698 13.8491i −0.564480 0.626918i
\(489\) −5.27674 + 4.72149i −0.238622 + 0.213513i
\(490\) 1.16456 17.9706i 0.0526093 0.811829i
\(491\) −1.54722 + 0.328872i −0.0698252 + 0.0148418i −0.242692 0.970103i \(-0.578030\pi\)
0.172867 + 0.984945i \(0.444697\pi\)
\(492\) −19.1298 17.3329i −0.862439 0.781426i
\(493\) −3.35369 + 5.80876i −0.151043 + 0.261613i
\(494\) 6.00653 + 4.36400i 0.270246 + 0.196345i
\(495\) −0.928537 + 13.0655i −0.0417346 + 0.587250i
\(496\) 1.38875 1.00899i 0.0623569 0.0453049i
\(497\) −3.36137 31.9813i −0.150778 1.43456i
\(498\) −17.4983 5.74593i −0.784119 0.257481i
\(499\) −15.4879 26.8258i −0.693333 1.20089i −0.970739 0.240135i \(-0.922808\pi\)
0.277407 0.960753i \(-0.410525\pi\)
\(500\) −0.561945 36.7240i −0.0251309 1.64235i
\(501\) −17.1404 + 23.4378i −0.765778 + 1.04712i
\(502\) 17.1709 + 3.64979i 0.766375 + 0.162898i
\(503\) 24.3048 17.6585i 1.08370 0.787354i 0.105375 0.994433i \(-0.466396\pi\)
0.978324 + 0.207079i \(0.0663957\pi\)
\(504\) 23.1320 + 17.0278i 1.03038 + 0.758478i
\(505\) −21.0360 + 16.6086i −0.936088 + 0.739072i
\(506\) −34.8549 + 15.5184i −1.54949 + 0.689877i
\(507\) −0.515683 0.0558266i −0.0229023 0.00247935i
\(508\) 2.88995 27.4961i 0.128221 1.21994i
\(509\) −19.8838 + 4.22644i −0.881335 + 0.187334i −0.626285 0.779594i \(-0.715425\pi\)
−0.255050 + 0.966928i \(0.582092\pi\)
\(510\) −1.37307 + 7.87834i −0.0608004 + 0.348859i
\(511\) −2.53144 0.538075i −0.111984 0.0238030i
\(512\) −0.774259 + 2.38292i −0.0342177 + 0.105311i
\(513\) −2.80328 + 3.78345i −0.123768 + 0.167043i
\(514\) 5.60810 + 17.2599i 0.247363 + 0.761304i
\(515\) −3.44407 3.53023i −0.151764 0.155561i
\(516\) −10.0243 + 1.02200i −0.441293 + 0.0449912i
\(517\) −1.57886 + 15.0219i −0.0694382 + 0.660661i
\(518\) 16.0634 + 27.8227i 0.705787 + 1.22246i
\(519\) 8.44955 + 7.65585i 0.370894 + 0.336054i
\(520\) −16.4401 16.8514i −0.720945 0.738981i
\(521\) −14.7886 + 10.7445i −0.647898 + 0.470726i −0.862555 0.505964i \(-0.831137\pi\)
0.214656 + 0.976690i \(0.431137\pi\)
\(522\) 47.1807 20.6546i 2.06504 0.904029i
\(523\) 0.681075 + 2.09613i 0.0297813 + 0.0916575i 0.964842 0.262829i \(-0.0846556\pi\)
−0.935061 + 0.354487i \(0.884656\pi\)
\(524\) −23.8307 + 41.2760i −1.04105 + 1.80315i
\(525\) −27.2804 6.59689i −1.19061 0.287912i
\(526\) 10.6950 + 18.5243i 0.466323 + 0.807696i
\(527\) 4.65602 5.17103i 0.202819 0.225254i
\(528\) 0.00233642 0.749371i 0.000101680 0.0326122i
\(529\) −5.14718 48.9722i −0.223790 2.12922i
\(530\) 37.7191 1.50983i 1.63842 0.0655827i
\(531\) 27.5197 + 30.9497i 1.19425 + 1.34310i
\(532\) −9.64795 −0.418292
\(533\) 14.7705 6.57625i 0.639781 0.284849i
\(534\) 11.1501 24.8348i 0.482510 1.07471i
\(535\) 9.59923 + 3.82151i 0.415011 + 0.165218i
\(536\) −23.9645 + 26.6153i −1.03511 + 1.14961i
\(537\) −18.7990 + 1.91662i −0.811237 + 0.0827081i
\(538\) −23.5474 26.1520i −1.01520 1.12749i
\(539\) 2.11377 + 6.50552i 0.0910465 + 0.280212i
\(540\) 27.5691 26.3975i 1.18639 1.13597i
\(541\) 0.946056 2.91166i 0.0406741 0.125182i −0.928658 0.370938i \(-0.879036\pi\)
0.969332 + 0.245756i \(0.0790362\pi\)
\(542\) 16.1002 7.16826i 0.691562 0.307903i
\(543\) 6.09470 + 13.8046i 0.261549 + 0.592412i
\(544\) −0.506905 + 4.82288i −0.0217334 + 0.206779i
\(545\) 19.3525 23.3038i 0.828970 0.998224i
\(546\) −39.8995 + 22.8704i −1.70754 + 0.978763i
\(547\) −0.534090 5.08153i −0.0228360 0.217270i −0.999989 0.00473219i \(-0.998494\pi\)
0.977153 0.212538i \(-0.0681730\pi\)
\(548\) −6.11682 18.8256i −0.261297 0.804191i
\(549\) 5.73551 + 18.0339i 0.244786 + 0.769670i
\(550\) 8.61967 + 20.7233i 0.367544 + 0.883644i
\(551\) −3.38369 + 5.86072i −0.144150 + 0.249675i
\(552\) 41.3213 + 13.5687i 1.75875 + 0.577522i
\(553\) −0.721415 0.321194i −0.0306777 0.0136586i
\(554\) 1.08416 + 0.482699i 0.0460615 + 0.0205079i
\(555\) 15.6819 5.74299i 0.665661 0.243776i
\(556\) −24.7924 + 11.0383i −1.05143 + 0.468128i
\(557\) 23.7393 1.00587 0.502934 0.864325i \(-0.332254\pi\)
0.502934 + 0.864325i \(0.332254\pi\)
\(558\) −52.3312 + 10.7827i −2.21536 + 0.456469i
\(559\) 1.95023 6.00218i 0.0824858 0.253865i
\(560\) 1.58273 + 0.270762i 0.0668825 + 0.0114418i
\(561\) −0.622293 2.97321i −0.0262732 0.125529i
\(562\) −5.91828 + 1.25797i −0.249648 + 0.0530642i
\(563\) −19.0213 + 4.04311i −0.801653 + 0.170397i −0.590480 0.807052i \(-0.701062\pi\)
−0.211173 + 0.977449i \(0.567728\pi\)
\(564\) 32.8013 29.3497i 1.38118 1.23585i
\(565\) −37.2913 6.37952i −1.56886 0.268389i
\(566\) 21.7810 67.0350i 0.915524 2.81769i
\(567\) −14.2677 25.4399i −0.599188 1.06838i
\(568\) 29.3141 1.22999
\(569\) −0.604819 + 0.269283i −0.0253553 + 0.0112889i −0.419375 0.907813i \(-0.637751\pi\)
0.394020 + 0.919102i \(0.371084\pi\)
\(570\) −1.38535 + 7.94882i −0.0580259 + 0.332939i
\(571\) 16.8064 + 7.48268i 0.703325 + 0.313141i 0.727056 0.686578i \(-0.240888\pi\)
−0.0237311 + 0.999718i \(0.507555\pi\)
\(572\) 20.8833 + 9.29787i 0.873177 + 0.388763i
\(573\) −3.54995 16.9611i −0.148301 0.708559i
\(574\) −16.9009 + 29.2732i −0.705430 + 1.22184i
\(575\) −42.3617 + 3.39676i −1.76660 + 0.141655i
\(576\) 25.9844 28.4992i 1.08268 1.18747i
\(577\) −2.40887 7.41374i −0.100283 0.308638i 0.888312 0.459241i \(-0.151878\pi\)
−0.988594 + 0.150603i \(0.951878\pi\)
\(578\) 3.89130 + 37.0233i 0.161857 + 1.53997i
\(579\) −0.0623923 + 20.0114i −0.00259294 + 0.831645i
\(580\) 35.0458 42.2012i 1.45520 1.75231i
\(581\) −1.56690 + 14.9081i −0.0650059 + 0.618490i
\(582\) 11.1423 15.2360i 0.461864 0.631551i
\(583\) −13.0991 + 5.83211i −0.542511 + 0.241541i
\(584\) 0.729022 2.24370i 0.0301671 0.0928449i
\(585\) 8.15101 + 22.4741i 0.337003 + 0.929189i
\(586\) 20.8302 + 64.1087i 0.860487 + 2.64831i
\(587\) 9.77501 + 10.8563i 0.403458 + 0.448086i 0.910297 0.413955i \(-0.135853\pi\)
−0.506839 + 0.862041i \(0.669186\pi\)
\(588\) 8.16413 18.1841i 0.336683 0.749902i
\(589\) 4.69767 5.21729i 0.193564 0.214975i
\(590\) 65.9331 + 26.2483i 2.71442 + 1.08063i
\(591\) 22.5436 2.29839i 0.927321 0.0945432i
\(592\) −0.872847 + 0.388616i −0.0358738 + 0.0159720i
\(593\) −17.7208 −0.727707 −0.363853 0.931456i \(-0.618539\pi\)
−0.363853 + 0.931456i \(0.618539\pi\)
\(594\) −9.68601 + 21.2187i −0.397422 + 0.870616i
\(595\) 6.50368 0.260330i 0.266625 0.0106725i
\(596\) 3.75891 + 35.7636i 0.153971 + 1.46494i
\(597\) 3.90324 + 2.26979i 0.159749 + 0.0928965i
\(598\) −46.5953 + 51.7493i −1.90542 + 2.11619i
\(599\) 7.37178 + 12.7683i 0.301203 + 0.521699i 0.976409 0.215931i \(-0.0692785\pi\)
−0.675206 + 0.737629i \(0.735945\pi\)
\(600\) 8.58009 24.1034i 0.350281 0.984018i
\(601\) 6.78135 11.7456i 0.276617 0.479115i −0.693925 0.720048i \(-0.744120\pi\)
0.970542 + 0.240933i \(0.0774533\pi\)
\(602\) 4.07718 + 12.5483i 0.166173 + 0.511429i
\(603\) 33.3158 14.5849i 1.35673 0.593944i
\(604\) −55.8242 + 40.5587i −2.27146 + 1.65031i
\(605\) 11.2230 + 11.5037i 0.456278 + 0.467692i
\(606\) −45.4376 + 14.6071i −1.84578 + 0.593373i
\(607\) −16.6848 28.8989i −0.677216 1.17297i −0.975816 0.218594i \(-0.929853\pi\)
0.298600 0.954378i \(-0.403480\pi\)
\(608\) −0.511439 + 4.86602i −0.0207416 + 0.197343i
\(609\) −24.5336 33.9900i −0.994152 1.37734i
\(610\) 22.6442 + 23.2107i 0.916836 + 0.939772i
\(611\) 8.51901 + 26.2188i 0.344642 + 1.06070i
\(612\) −4.47358 + 7.63807i −0.180834 + 0.308751i
\(613\) 5.32757 16.3966i 0.215178 0.662251i −0.783962 0.620808i \(-0.786805\pi\)
0.999141 0.0414429i \(-0.0131955\pi\)
\(614\) −21.0369 4.47154i −0.848981 0.180457i
\(615\) 13.4826 + 11.2678i 0.543672 + 0.454362i
\(616\) −18.2866 + 3.88694i −0.736788 + 0.156609i
\(617\) −2.61997 + 24.9273i −0.105476 + 1.00354i 0.805925 + 0.592018i \(0.201668\pi\)
−0.911401 + 0.411519i \(0.864998\pi\)
\(618\) −3.54715 8.03435i −0.142687 0.323189i
\(619\) 14.2589 6.34849i 0.573116 0.255167i −0.0996508 0.995022i \(-0.531773\pi\)
0.672766 + 0.739855i \(0.265106\pi\)
\(620\) −44.6648 + 35.2643i −1.79378 + 1.41625i
\(621\) −32.5430 29.8577i −1.30591 1.19815i
\(622\) −38.3639 + 27.8730i −1.53825 + 1.11761i
\(623\) −21.6727 4.60668i −0.868300 0.184563i
\(624\) −0.552403 1.25120i −0.0221138 0.0500881i
\(625\) 1.38198 + 24.9618i 0.0552793 + 0.998471i
\(626\) −23.4926 40.6903i −0.938952 1.62631i
\(627\) −0.627859 2.99981i −0.0250743 0.119801i
\(628\) 2.23627 + 21.2767i 0.0892368 + 0.849032i
\(629\) −3.13330 + 2.27647i −0.124933 + 0.0907690i
\(630\) −41.4032 27.9952i −1.64954 1.11536i
\(631\) −4.14912 3.01451i −0.165174 0.120006i 0.502128 0.864793i \(-0.332551\pi\)
−0.667301 + 0.744788i \(0.732551\pi\)
\(632\) 0.359931 0.623419i 0.0143173 0.0247983i
\(633\) 44.0084 14.1477i 1.74918 0.562319i
\(634\) 0.196820 0.0418353i 0.00781670 0.00166149i
\(635\) −1.21698 + 18.7796i −0.0482944 + 0.745244i
\(636\) 39.6980 + 13.0357i 1.57413 + 0.516897i
\(637\) 8.35380 + 9.27783i 0.330989 + 0.367601i
\(638\) −10.3589 + 31.8814i −0.410112 + 1.26220i
\(639\) −27.1179 12.2769i −1.07277 0.485665i
\(640\) 11.3541 40.3726i 0.448812 1.59587i
\(641\) 1.99934 + 2.22049i 0.0789692 + 0.0877042i 0.781334 0.624113i \(-0.214539\pi\)
−0.702365 + 0.711817i \(0.747873\pi\)
\(642\) 13.6343 + 12.3536i 0.538104 + 0.487558i
\(643\) −14.7308 25.5144i −0.580925 1.00619i −0.995370 0.0961173i \(-0.969358\pi\)
0.414445 0.910074i \(-0.363976\pi\)
\(644\) 9.45878 89.9943i 0.372728 3.54627i
\(645\) 6.78998 0.967999i 0.267355 0.0381149i
\(646\) −0.195592 1.86093i −0.00769545 0.0732174i
\(647\) 18.7975 13.6572i 0.739005 0.536919i −0.153394 0.988165i \(-0.549020\pi\)
0.892399 + 0.451246i \(0.149020\pi\)
\(648\) 24.4230 10.5108i 0.959425 0.412905i
\(649\) −26.9558 −1.05811
\(650\) 29.7561 + 28.1542i 1.16713 + 1.10430i
\(651\) 17.5640 + 39.7827i 0.688386 + 1.55921i
\(652\) −8.98612 + 9.98010i −0.351924 + 0.390851i
\(653\) 1.19250 + 0.530934i 0.0466661 + 0.0207771i 0.429937 0.902859i \(-0.358536\pi\)
−0.383271 + 0.923636i \(0.625202\pi\)
\(654\) 46.7987 26.8251i 1.82998 1.04894i
\(655\) 15.0843 28.7218i 0.589391 1.12225i
\(656\) −0.813274 0.590878i −0.0317530 0.0230699i
\(657\) −1.61408 + 1.77029i −0.0629712 + 0.0690656i
\(658\) −46.6272 33.8767i −1.81772 1.32065i
\(659\) −14.5132 16.1186i −0.565355 0.627891i 0.390897 0.920435i \(-0.372165\pi\)
−0.956252 + 0.292544i \(0.905498\pi\)
\(660\) 0.916226 + 24.8261i 0.0356641 + 0.966356i
\(661\) −3.82004 + 4.24259i −0.148582 + 0.165017i −0.812841 0.582485i \(-0.802080\pi\)
0.664259 + 0.747502i \(0.268747\pi\)
\(662\) −50.7682 + 10.7911i −1.97316 + 0.419408i
\(663\) −3.24475 4.49543i −0.126016 0.174588i
\(664\) −13.3661 2.84106i −0.518706 0.110254i
\(665\) 6.56186 0.262659i 0.254458 0.0101855i
\(666\) 29.7387 + 0.185443i 1.15235 + 0.00718576i
\(667\) −51.3504 37.3082i −1.98830 1.44458i
\(668\) −27.5360 + 47.6937i −1.06540 + 1.84533i
\(669\) −27.5504 24.9625i −1.06516 0.965106i
\(670\) 39.8133 47.9421i 1.53812 1.85217i
\(671\) −11.2522 5.00979i −0.434385 0.193401i
\(672\) −26.1998 15.2356i −1.01068 0.587724i
\(673\) 3.33214 + 0.708269i 0.128445 + 0.0273018i 0.271685 0.962386i \(-0.412419\pi\)
−0.143241 + 0.989688i \(0.545752\pi\)
\(674\) 7.64505 0.294476
\(675\) −18.0319 + 18.7043i −0.694049 + 0.719928i
\(676\) −0.983780 −0.0378377
\(677\) 36.9300 + 7.84972i 1.41934 + 0.301689i 0.852753 0.522315i \(-0.174931\pi\)
0.566584 + 0.824004i \(0.308265\pi\)
\(678\) −58.2396 33.8672i −2.23668 1.30066i
\(679\) −14.0347 6.24866i −0.538603 0.239801i
\(680\) −0.383698 + 5.92095i −0.0147141 + 0.227058i
\(681\) 6.75230 + 6.11803i 0.258749 + 0.234443i
\(682\) 17.3881 30.1170i 0.665824 1.15324i
\(683\) 10.4985 + 7.62763i 0.401715 + 0.291863i 0.770239 0.637755i \(-0.220137\pi\)
−0.368524 + 0.929618i \(0.620137\pi\)
\(684\) −4.51360 + 7.70640i −0.172582 + 0.294662i
\(685\) 4.67274 + 12.6373i 0.178536 + 0.482848i
\(686\) 25.4838 + 5.41675i 0.972976 + 0.206812i
\(687\) 17.7392 + 24.5767i 0.676794 + 0.937660i
\(688\) −0.383814 + 0.0815822i −0.0146328 + 0.00311029i
\(689\) −17.5114 + 19.4484i −0.667131 + 0.740924i
\(690\) −72.7869 20.7153i −2.77095 0.788616i
\(691\) 32.5060 + 36.1016i 1.23659 + 1.37337i 0.902421 + 0.430856i \(0.141788\pi\)
0.334167 + 0.942514i \(0.391545\pi\)
\(692\) 17.4955 + 12.7112i 0.665078 + 0.483208i
\(693\) 18.5445 + 4.06278i 0.704447 + 0.154332i
\(694\) 25.6523 + 18.6375i 0.973749 + 0.707470i
\(695\) 16.5616 8.18243i 0.628216 0.310377i
\(696\) 33.1525 19.0030i 1.25664 0.720309i
\(697\) −3.72259 1.65741i −0.141003 0.0627787i
\(698\) 22.9230 25.4586i 0.867649 0.963622i
\(699\) −6.88118 15.5860i −0.260270 0.589516i
\(700\) −52.7872 6.87043i −1.99517 0.259678i
\(701\) 32.6872 1.23458 0.617290 0.786736i \(-0.288231\pi\)
0.617290 + 0.786736i \(0.288231\pi\)
\(702\) −0.398186 + 42.5696i −0.0150286 + 1.60669i
\(703\) −3.16133 + 2.29684i −0.119232 + 0.0866269i
\(704\) 2.62385 + 24.9643i 0.0988901 + 0.940877i
\(705\) −21.5101 + 20.8546i −0.810117 + 0.785431i
\(706\) 2.27096 21.6068i 0.0854688 0.813181i
\(707\) 19.4230 + 33.6416i 0.730476 + 1.26522i
\(708\) 58.2097 + 52.7418i 2.18765 + 1.98216i
\(709\) 6.72933 + 7.47367i 0.252725 + 0.280680i 0.856136 0.516751i \(-0.172859\pi\)
−0.603411 + 0.797431i \(0.706192\pi\)
\(710\) −50.9664 + 2.04009i −1.91274 + 0.0765633i
\(711\) −0.594057 + 0.425973i −0.0222789 + 0.0159752i
\(712\) 6.24146 19.2092i 0.233909 0.719897i
\(713\) 44.0604 + 48.9340i 1.65007 + 1.83259i
\(714\) 11.0121 + 3.61606i 0.412119 + 0.135328i
\(715\) −14.4565 5.75522i −0.540643 0.215233i
\(716\) −35.0566 + 7.45151i −1.31013 + 0.278476i
\(717\) −27.4813 + 8.83458i −1.02631 + 0.329933i
\(718\) −2.24371 + 3.88622i −0.0837346 + 0.145033i
\(719\) −1.59555 1.15923i −0.0595039 0.0432321i 0.557636 0.830086i \(-0.311709\pi\)
−0.617140 + 0.786854i \(0.711709\pi\)
\(720\) 0.956722 1.13755i 0.0356549 0.0423940i
\(721\) −5.78298 + 4.20158i −0.215370 + 0.156475i
\(722\) 4.36843 + 41.5628i 0.162576 + 1.54681i
\(723\) 7.87130 + 37.6077i 0.292737 + 1.39865i
\(724\) 14.3103 + 24.7861i 0.531837 + 0.921169i
\(725\) −22.6868 + 29.6564i −0.842567 + 1.10141i
\(726\) 11.5588 + 26.1810i 0.428989 + 0.971667i
\(727\) −6.46761 1.37473i −0.239870 0.0509860i 0.0864078 0.996260i \(-0.472461\pi\)
−0.326278 + 0.945274i \(0.605795\pi\)
\(728\) −27.6047 + 20.0560i −1.02310 + 0.743326i
\(729\) −26.9953 0.505060i −0.999825 0.0187059i
\(730\) −1.11135 + 3.95171i −0.0411330 + 0.146259i
\(731\) −1.45306 + 0.646943i −0.0537433 + 0.0239281i
\(732\) 14.4963 + 32.8344i 0.535800 + 1.21359i
\(733\) −1.45324 + 13.8266i −0.0536765 + 0.510698i 0.934344 + 0.356373i \(0.115987\pi\)
−0.988020 + 0.154325i \(0.950680\pi\)
\(734\) 16.3489 3.47507i 0.603450 0.128267i
\(735\) −5.05762 + 12.5898i −0.186553 + 0.464383i
\(736\) −44.8879 9.54122i −1.65459 0.351694i
\(737\) −7.31475 + 22.5125i −0.269442 + 0.829258i
\(738\) 15.4756 + 27.1947i 0.569663 + 1.00105i
\(739\) −0.707775 2.17831i −0.0260359 0.0801304i 0.937194 0.348808i \(-0.113413\pi\)
−0.963230 + 0.268677i \(0.913413\pi\)
\(740\) 28.3979 14.0303i 1.04393 0.515765i
\(741\) −3.27378 4.53564i −0.120265 0.166621i
\(742\) 5.71899 54.4126i 0.209951 1.99755i
\(743\) −12.7978 22.1664i −0.469506 0.813207i 0.529887 0.848068i \(-0.322234\pi\)
−0.999392 + 0.0348611i \(0.988901\pi\)
\(744\) −37.7400 + 12.1325i −1.38362 + 0.444800i
\(745\) −3.53019 24.2216i −0.129336 0.887410i
\(746\) 24.2038 17.5851i 0.886164 0.643836i
\(747\) 11.1749 + 8.22601i 0.408869 + 0.300974i
\(748\) −1.78034 5.47932i −0.0650956 0.200344i
\(749\) 7.48734 12.9684i 0.273581 0.473857i
\(750\) −13.2402 + 42.5041i −0.483463 + 1.55203i
\(751\) 18.1894 + 31.5050i 0.663742 + 1.14963i 0.979625 + 0.200836i \(0.0643660\pi\)
−0.315883 + 0.948798i \(0.602301\pi\)
\(752\) 1.14692 1.27378i 0.0418237 0.0464500i
\(753\) −11.4333 6.64861i −0.416651 0.242289i
\(754\) 6.39533 + 60.8475i 0.232904 + 2.21593i
\(755\) 36.8635 29.1049i 1.34160 1.05924i
\(756\) −32.0967 45.0576i −1.16734 1.63873i
\(757\) 35.2024 1.27945 0.639727 0.768602i \(-0.279048\pi\)
0.639727 + 0.768602i \(0.279048\pi\)
\(758\) −1.86567 + 0.830652i −0.0677644 + 0.0301706i
\(759\) 28.5972 2.91557i 1.03801 0.105828i
\(760\) −0.387130 + 5.97391i −0.0140427 + 0.216697i
\(761\) −14.9853 + 16.6429i −0.543218 + 0.603305i −0.950778 0.309874i \(-0.899713\pi\)
0.407559 + 0.913179i \(0.366380\pi\)
\(762\) −13.7258 + 30.5718i −0.497234 + 1.10750i
\(763\) −29.3771 32.6266i −1.06352 1.18116i
\(764\) −10.1562 31.2575i −0.367438 1.13086i
\(765\) 2.83467 5.31667i 0.102488 0.192225i
\(766\) 13.3740 41.1608i 0.483221 1.48720i
\(767\) −44.9448 + 20.0107i −1.62286 + 0.722546i
\(768\) 17.7973 24.3359i 0.642204 0.878147i
\(769\) −0.781310 + 7.43367i −0.0281747 + 0.268065i 0.971361 + 0.237607i \(0.0763631\pi\)
−0.999536 + 0.0304576i \(0.990304\pi\)
\(770\) 31.5232 8.03061i 1.13602 0.289403i
\(771\) 0.0426305