Properties

Label 225.2.q.a.121.5
Level $225$
Weight $2$
Character 225.121
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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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 121.5
Character \(\chi\) \(=\) 225.121
Dual form 225.2.q.a.106.5

$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{5}\right)\)

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 −0.916152 0.400831i \(-0.868721\pi\)
−0.673914 + 0.738810i \(0.735388\pi\)
\(3\) 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 −0.990824 0.135161i \(-0.956845\pi\)
0.378359 0.925659i \(-0.376489\pi\)
\(8\) −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 −0.486633 0.873607i \(-0.661775\pi\)
−0.0892334 + 0.996011i \(0.528442\pi\)
\(12\) 3.33008 4.61365i 0.961312 1.33185i
\(13\) −3.48590 0.740952i −0.966816 0.205503i −0.302661 0.953098i \(-0.597875\pi\)
−0.664155 + 0.747595i \(0.731208\pi\)
\(14\) 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 −0.496170 0.868225i \(-0.665261\pi\)
0.672406 + 0.740182i \(0.265261\pi\)
\(18\) −2.09028 + 6.57240i −0.492684 + 1.54913i
\(19\) 0.733140 0.532657i 0.168194 0.122200i −0.500504 0.865734i \(-0.666852\pi\)
0.668698 + 0.743534i \(0.266852\pi\)
\(20\) −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 −0.937332 0.348437i \(-0.886713\pi\)
−0.248550 0.968619i \(-0.579954\pi\)
\(24\) −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 −0.644162 0.764889i \(-0.722794\pi\)
0.789115 0.614246i \(-0.210540\pi\)
\(30\) 3.91899 7.99485i 0.715506 1.45965i
\(31\) 0.809799 + 7.70472i 0.145444 + 1.38381i 0.787104 + 0.616820i \(0.211579\pi\)
−0.641660 + 0.766989i \(0.721754\pi\)
\(32\) 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 −0.998840 0.0481453i \(-0.984669\pi\)
0.779780 0.626054i \(-0.215331\pi\)
\(38\) −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 −0.152099 0.988365i \(-0.548603\pi\)
−0.540954 + 0.841052i \(0.681937\pi\)
\(42\) 12.2854 + 3.94948i 1.89568 + 0.609417i
\(43\) −0.885445 1.53364i −0.135029 0.233877i 0.790579 0.612359i \(-0.209779\pi\)
−0.925609 + 0.378482i \(0.876446\pi\)
\(44\) −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 0.762157 + 0.647393i \(0.224141\pi\)
−0.880102 + 0.474784i \(0.842526\pi\)
\(48\) 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 0.915579 0.402137i \(-0.131733\pi\)
−0.0995259 + 0.995035i \(0.531733\pi\)
\(54\) 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 0.970207 0.242277i \(-0.0778942\pi\)
0.787786 + 0.615950i \(0.211228\pi\)
\(60\) −3.10245 + 12.3390i −0.400525 + 1.59296i
\(61\) 6.17017 1.31151i 0.790009 0.167922i 0.204800 0.978804i \(-0.434346\pi\)
0.585209 + 0.810882i \(0.301012\pi\)
\(62\) −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 0.745759 + 0.666215i \(0.232087\pi\)
−0.590949 + 0.806709i \(0.701246\pi\)
\(68\) 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 −0.00124504 0.999999i \(-0.500396\pi\)
−0.951441 + 0.307833i \(0.900396\pi\)
\(72\) 0.981371 + 8.80840i 0.115656 + 1.03808i
\(73\) 0.246766 0.759468i 0.0288818 0.0888891i −0.935577 0.353124i \(-0.885119\pi\)
0.964458 + 0.264235i \(0.0851194\pi\)
\(74\) 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 −0.992996 0.118151i \(-0.962303\pi\)
0.995861 + 0.0908865i \(0.0289700\pi\)
\(80\) −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 0.625317 0.780371i \(-0.284970\pi\)
−0.161510 + 0.986871i \(0.551636\pi\)
\(84\) −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 −0.774455 0.632629i \(-0.781976\pi\)
0.998397 0.0565946i \(-0.0180243\pi\)
\(90\) −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 −0.940138 0.340794i \(-0.889304\pi\)
0.990449 0.137882i \(-0.0440293\pi\)
\(98\) 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 0.993356 + 0.115080i \(0.0367126\pi\)
−0.397016 + 0.917812i \(0.629954\pi\)
\(102\) −0.732667 + 3.50056i −0.0725449 + 0.346607i
\(103\) 2.01495 0.897113i 0.198539 0.0883952i −0.305059 0.952334i \(-0.598676\pi\)
0.503598 + 0.863938i \(0.332009\pi\)
\(104\) 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 −0.924217 0.381867i \(-0.875281\pi\)
0.523251 0.852178i \(-0.324719\pi\)
\(110\) −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 0.904329 0.426836i \(-0.140372\pi\)
0.652536 + 0.757758i \(0.273705\pi\)
\(114\) −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 0.766877 + 0.641794i \(0.221809\pi\)
−0.997654 + 0.0684626i \(0.978191\pi\)
\(128\) 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 −0.835506 0.549481i \(-0.814825\pi\)
0.703005 0.711185i \(-0.251841\pi\)
\(132\) −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 −0.890338 0.455299i \(-0.849532\pi\)
0.545871 + 0.837869i \(0.316199\pi\)
\(138\) 33.6694 + 3.43270i 2.86613 + 0.292210i
\(139\) −5.52782 6.13927i −0.468864 0.520726i 0.461611 0.887083i \(-0.347272\pi\)
−0.930475 + 0.366357i \(0.880605\pi\)
\(140\) 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 −0.549889 0.835238i \(-0.685330\pi\)
0.998282 + 0.0585987i \(0.0186632\pi\)
\(150\) −1.52943 + 19.8505i −0.124878 + 1.62079i
\(151\) −10.5024 18.1907i −0.854675 1.48034i −0.876946 0.480589i \(-0.840423\pi\)
0.0222707 0.999752i \(-0.492910\pi\)
\(152\) −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 −0.706333 0.707879i \(-0.749652\pi\)
0.966208 + 0.257763i \(0.0829854\pi\)
\(158\) 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 0.889315 0.457295i \(-0.151182\pi\)
−0.988262 + 0.152766i \(0.951182\pi\)
\(164\) −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 −0.824735 0.565519i \(-0.808676\pi\)
0.689135 0.724633i \(-0.257991\pi\)
\(168\) 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 0.0434826 0.999054i \(-0.486155\pi\)
0.446075 + 0.894995i \(0.352821\pi\)
\(174\) 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 0.206857 0.978371i \(-0.433677\pi\)
−0.866564 + 0.499066i \(0.833677\pi\)
\(180\) 6.09826 + 21.1764i 0.454537 + 1.57839i
\(181\) 7.04839 5.12096i 0.523903 0.380638i −0.294169 0.955753i \(-0.595043\pi\)
0.818072 + 0.575116i \(0.195043\pi\)
\(182\) −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 −0.934952 0.354775i \(-0.884558\pi\)
0.450560 + 0.892746i \(0.351224\pi\)
\(192\) 4.69735 + 21.7654i 0.339002 + 1.57078i
\(193\) 5.77682 10.0057i 0.415824 0.720229i −0.579690 0.814837i \(-0.696826\pi\)
0.995515 + 0.0946081i \(0.0301598\pi\)
\(194\) 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 0.897097 0.441833i \(-0.145672\pi\)
−0.142990 + 0.989724i \(0.545672\pi\)
\(198\) 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 0.908271 + 0.418383i \(0.137403\pi\)
0.321151 + 0.947028i \(0.395930\pi\)
\(212\) 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 −0.847544 0.530725i \(-0.821920\pi\)
−0.558404 + 0.829569i \(0.688586\pi\)
\(224\) −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 −0.0339524 0.999423i \(-0.510809\pi\)
0.375485 + 0.926828i \(0.377476\pi\)
\(228\) −0.0160764 5.15624i −0.00106468 0.341480i
\(229\) 15.9866 7.11768i 1.05642 0.470349i 0.196356 0.980533i \(-0.437089\pi\)
0.860066 + 0.510183i \(0.170422\pi\)
\(230\) −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 −0.817109 0.576483i \(-0.804425\pi\)
0.295767 + 0.955260i \(0.404425\pi\)
\(234\) 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 0.265273 0.964173i \(-0.414538\pi\)
−0.986620 + 0.163036i \(0.947871\pi\)
\(240\) 0.147343 + 0.845421i 0.00951095 + 0.0545717i
\(241\) 14.8435 16.4854i 0.956156 1.06192i −0.0418699 0.999123i \(-0.513332\pi\)
0.998026 0.0627962i \(-0.0200018\pi\)
\(242\) 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 −0.962472 0.271381i \(-0.912520\pi\)
0.716259 + 0.697835i \(0.245853\pi\)
\(258\) 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 −0.903861 0.427826i \(-0.859280\pi\)
0.519962 + 0.854190i \(0.325946\pi\)
\(264\) 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 −0.142324 0.989820i \(-0.545457\pi\)
0.897394 + 0.441229i \(0.145457\pi\)
\(270\) −15.0307 22.0808i −0.914741 1.34380i
\(271\) −6.20201 4.50602i −0.376745 0.273721i 0.383257 0.923642i \(-0.374802\pi\)
−0.760002 + 0.649920i \(0.774802\pi\)
\(272\) 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 −0.223056 0.974806i \(-0.571603\pi\)
0.192717 + 0.981254i \(0.438270\pi\)
\(278\) 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 0.477197 0.878796i \(-0.341653\pi\)
−0.333766 + 0.942656i \(0.608320\pi\)
\(282\) −18.1827 24.8630i −1.08276 1.48057i
\(283\) −3.20483 30.4919i −0.190507 1.81255i −0.504809 0.863231i \(-0.668437\pi\)
0.314302 0.949323i \(-0.398230\pi\)
\(284\) −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 0.0187704 + 0.999824i \(0.494025\pi\)
−0.875258 + 0.483656i \(0.839309\pi\)
\(294\) −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 0.994134 0.108156i \(-0.0344946\pi\)
−0.211479 + 0.977383i \(0.567828\pi\)
\(312\) 10.6727 14.7865i 0.604224 0.837119i
\(313\) 13.6756 15.1883i 0.772990 0.858492i −0.220145 0.975467i \(-0.570653\pi\)
0.993135 + 0.116975i \(0.0373198\pi\)
\(314\) −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 0.404490 0.914542i \(-0.367449\pi\)
−0.408981 + 0.912543i \(0.634116\pi\)
\(318\) −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 0.885800 0.464067i \(-0.153610\pi\)
0.247846 + 0.968799i \(0.420277\pi\)
\(332\) 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 0.118461 0.992959i \(-0.462204\pi\)
−0.295653 + 0.955295i \(0.595537\pi\)
\(338\) 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 −0.716041 0.698058i \(-0.754048\pi\)
0.0396331 + 0.999214i \(0.487381\pi\)
\(348\) −31.6655 28.3335i −1.69745 1.51883i
\(349\) −7.45084 12.9052i −0.398834 0.690801i 0.594748 0.803912i \(-0.297252\pi\)
−0.993582 + 0.113111i \(0.963918\pi\)
\(350\) 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 −0.936268 0.351288i \(-0.885744\pi\)
0.988845 0.148950i \(-0.0475895\pi\)
\(354\) −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 0.965712 0.259618i \(-0.0835965\pi\)
−0.933876 + 0.357596i \(0.883596\pi\)
\(360\) −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 0.225996 0.974128i \(-0.427436\pi\)
−0.572698 + 0.819767i \(0.694103\pi\)
\(368\) −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 0.474260 0.880385i \(-0.342716\pi\)
−0.925136 + 0.379637i \(0.876049\pi\)
\(374\) 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 0.606090 0.795396i \(-0.292737\pi\)
−0.569174 + 0.822217i \(0.692737\pi\)
\(380\) −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 −0.922207 0.386697i \(-0.873616\pi\)
0.821656 0.569984i \(-0.193051\pi\)
\(384\) −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 0.687790 0.725910i \(-0.258581\pi\)
0.923581 + 0.383403i \(0.125248\pi\)
\(390\) −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 0.109619 0.993974i \(-0.465037\pi\)
−0.911451 + 0.411409i \(0.865037\pi\)
\(398\) −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 −0.705504 0.708706i \(-0.749279\pi\)
0.966509 + 0.256631i \(0.0826125\pi\)
\(402\) −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 0.0261852 0.999657i \(-0.491664\pi\)
−0.382676 + 0.923883i \(0.624997\pi\)
\(410\) −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 0.998651 0.0519187i \(-0.0165337\pi\)
−0.987623 + 0.156847i \(0.949867\pi\)
\(420\) 39.6588 11.2869i 1.93515 0.550746i
\(421\) −3.30546 + 31.4493i −0.161098 + 1.53275i 0.553285 + 0.832992i \(0.313374\pi\)
−0.714383 + 0.699755i \(0.753292\pi\)
\(422\) −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 −0.181899 0.983317i \(-0.558225\pi\)
0.878980 + 0.476858i \(0.158225\pi\)
\(432\) −0.862787 0.762366i −0.0415109 0.0366794i
\(433\) 26.2239 19.0528i 1.26024 0.915620i 0.261473 0.965211i \(-0.415792\pi\)
0.998770 + 0.0495910i \(0.0157918\pi\)
\(434\) −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 −0.481528 0.876431i \(-0.659918\pi\)
−0.0834213 + 0.996514i \(0.526585\pi\)
\(440\) −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 0.709343 0.704863i \(-0.248992\pi\)
−0.965101 + 0.261878i \(0.915658\pi\)
\(444\) −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 0.988810 0.149178i \(-0.0476627\pi\)
−0.623597 + 0.781746i \(0.714329\pi\)
\(458\) −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 −0.375625 0.926772i \(-0.622572\pi\)
0.0338016 + 0.999429i \(0.489239\pi\)
\(462\) −25.0677 2.55573i −1.16626 0.118903i
\(463\) 32.3798 + 6.88254i 1.50482 + 0.319859i 0.885262 0.465093i \(-0.153979\pi\)
0.619556 + 0.784952i \(0.287313\pi\)
\(464\) −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 −0.647563 0.762012i \(-0.724212\pi\)
0.524608 + 0.851344i \(0.324212\pi\)
\(468\) −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 0.957067 + 0.289867i \(0.0936110\pi\)
−0.996419 + 0.0845471i \(0.973056\pi\)
\(480\) 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 0.999293 + 0.0376012i \(0.0119716\pi\)
−0.786343 + 0.617790i \(0.788028\pi\)
\(488\) −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 0.172867 0.984945i \(-0.444697\pi\)
−0.242692 + 0.970103i \(0.578030\pi\)
\(492\) −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 0.277407 + 0.960753i \(0.410525\pi\)
−0.970739 + 0.240135i \(0.922808\pi\)
\(500\) −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 0.978324 0.207079i \(-0.0663957\pi\)
0.105375 + 0.994433i \(0.466396\pi\)
\(504\) 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 −0.255050 0.966928i \(-0.582092\pi\)
−0.626285 + 0.779594i \(0.715425\pi\)
\(510\) −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 0.214656 0.976690i \(-0.431137\pi\)
−0.862555 + 0.505964i \(0.831137\pi\)
\(522\) 47.1807 + 20.6546i 2.06504 + 0.904029i
\(523\) 0.681075 2.09613i 0.0297813 0.0916575i −0.935061 0.354487i \(-0.884656\pi\)
0.964842 + 0.262829i \(0.0846556\pi\)
\(524\) −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 0.969332 0.245756i \(-0.0790362\pi\)
−0.928658 + 0.370938i \(0.879036\pi\)
\(542\) 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 0.977153 + 0.212538i \(0.0681730\pi\)
−0.999989 + 0.00473219i \(0.998494\pi\)
\(548\) −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 −0.211173 0.977449i \(-0.567728\pi\)
−0.590480 + 0.807052i \(0.701062\pi\)
\(564\) 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 0.394020 0.919102i \(-0.371084\pi\)
−0.419375 + 0.907813i \(0.637751\pi\)
\(570\) −1.38535 7.94882i −0.0580259 0.332939i
\(571\) 16.8064 7.48268i 0.703325 0.313141i −0.0237311 0.999718i \(-0.507555\pi\)
0.727056 + 0.686578i \(0.240888\pi\)
\(572\) 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 −0.988594 0.150603i \(-0.951878\pi\)
0.888312 + 0.459241i \(0.151878\pi\)
\(578\) 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 −0.506839 0.862041i \(-0.669186\pi\)
0.910297 + 0.413955i \(0.135853\pi\)
\(588\) 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 −0.675206 0.737629i \(-0.735945\pi\)
0.976409 + 0.215931i \(0.0692785\pi\)
\(600\) 8.58009 + 24.1034i 0.350281 + 0.984018i
\(601\) 6.78135 + 11.7456i 0.276617 + 0.479115i 0.970542 0.240933i \(-0.0774533\pi\)
−0.693925 + 0.720048i \(0.744120\pi\)
\(602\) 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 0.298600 + 0.954378i \(0.403480\pi\)
−0.975816 + 0.218594i \(0.929853\pi\)
\(608\) −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 0.999141 + 0.0414429i \(0.0131955\pi\)
−0.783962 + 0.620808i \(0.786805\pi\)
\(614\) −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 −0.911401 0.411519i \(-0.864998\pi\)
0.805925 0.592018i \(-0.201668\pi\)
\(618\) −3.54715 + 8.03435i −0.142687 + 0.323189i
\(619\) 14.2589 + 6.34849i 0.573116 + 0.255167i 0.672766 0.739855i \(-0.265106\pi\)
−0.0996508 + 0.995022i \(0.531773\pi\)
\(620\) −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 −0.667301 0.744788i \(-0.732551\pi\)
0.502128 + 0.864793i \(0.332551\pi\)
\(632\) 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 −0.702365 0.711817i \(-0.747873\pi\)
0.781334 + 0.624113i \(0.214539\pi\)
\(642\) 13.6343 12.3536i 0.538104 0.487558i
\(643\) −14.7308 + 25.5144i −0.580925 + 1.00619i 0.414445 + 0.910074i \(0.363976\pi\)
−0.995370 + 0.0961173i \(0.969358\pi\)
\(644\) 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 0.892399 0.451246i \(-0.149020\pi\)
−0.153394 + 0.988165i \(0.549020\pi\)
\(648\) 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 −0.383271 0.923636i \(-0.625202\pi\)
0.429937 + 0.902859i \(0.358536\pi\)
\(654\) 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 −0.956252 0.292544i \(-0.905498\pi\)
0.390897 + 0.920435i \(0.372165\pi\)
\(660\) 0.916226 24.8261i 0.0356641 0.966356i
\(661\) −3.82004 4.24259i −0.148582 0.165017i 0.664259 0.747502i \(-0.268747\pi\)
−0.812841 + 0.582485i \(0.802080\pi\)
\(662\) −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 −0.143241 0.989688i \(-0.545752\pi\)
0.271685 + 0.962386i \(0.412419\pi\)
\(674\) 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 0.566584 0.824004i \(-0.308265\pi\)
0.852753 + 0.522315i \(0.174931\pi\)
\(678\) −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 −0.368524 0.929618i \(-0.620137\pi\)
0.770239 + 0.637755i \(0.220137\pi\)
\(684\) −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 0.334167 0.942514i \(-0.391545\pi\)
0.902421 0.430856i \(-0.141788\pi\)
\(692\) 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 −0.603411 0.797431i \(-0.706192\pi\)
0.856136 + 0.516751i \(0.172859\pi\)
\(710\) −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 −0.617140 0.786854i \(-0.711709\pi\)
0.557636 + 0.830086i \(0.311709\pi\)
\(720\) 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 −0.326278 0.945274i \(-0.605795\pi\)
0.0864078 + 0.996260i \(0.472461\pi\)
\(728\) −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 −0.988020 0.154325i \(-0.950680\pi\)
0.934344 0.356373i \(-0.115987\pi\)
\(734\) 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 −0.963230 0.268677i \(-0.913413\pi\)
0.937194 + 0.348808i \(0.113413\pi\)
\(740\) 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 −0.999392 0.0348611i \(-0.988901\pi\)
0.529887 + 0.848068i \(0.322234\pi\)
\(744\) −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 −0.315883 0.948798i \(-0.602301\pi\)
0.979625 0.200836i \(-0.0643660\pi\)
\(752\) 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 0.407559 0.913179i \(-0.366380\pi\)
−0.950778 + 0.309874i \(0.899713\pi\)
\(762\) −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 −0.999536 0.0304576i \(-0.990304\pi\)
0.971361 0.237607i \(-0.0763631\pi\)
\(770\) 31.5232 + 8.03061i 1.13602 + 0.289403i