Properties

Label 503.2.c.a.2.12
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.948756 - 1.16812i) q^{2} +(1.18005 - 1.02135i) q^{3} +(-0.0542683 + 0.259030i) q^{4} +(0.841155 + 2.65653i) q^{5} +(-2.31264 - 0.409440i) q^{6} +(-1.01850 + 2.95726i) q^{7} +(-2.32163 + 1.19577i) q^{8} +(-0.0809476 + 0.558491i) q^{9} +O(q^{10})\) \(q+(-0.948756 - 1.16812i) q^{2} +(1.18005 - 1.02135i) q^{3} +(-0.0542683 + 0.259030i) q^{4} +(0.841155 + 2.65653i) q^{5} +(-2.31264 - 0.409440i) q^{6} +(-1.01850 + 2.95726i) q^{7} +(-2.32163 + 1.19577i) q^{8} +(-0.0809476 + 0.558491i) q^{9} +(2.30510 - 3.50297i) q^{10} +(1.26893 - 0.410546i) q^{11} +(0.200520 + 0.361095i) q^{12} +(-0.0896291 + 0.0302426i) q^{13} +(4.42076 - 1.61599i) q^{14} +(3.70584 + 2.27573i) q^{15} +(4.08427 + 1.78992i) q^{16} +(2.91671 + 1.45637i) q^{17} +(0.729187 - 0.435315i) q^{18} +(1.08885 + 2.44286i) q^{19} +(-0.733767 + 0.0737189i) q^{20} +(1.81851 + 4.52996i) q^{21} +(-1.68348 - 1.09276i) q^{22} +(-1.00982 + 3.49048i) q^{23} +(-1.51835 + 3.78226i) q^{24} +(-2.26082 + 1.59126i) q^{25} +(0.120363 + 0.0760051i) q^{26} +(2.99944 + 4.68478i) q^{27} +(-0.710746 - 0.424306i) q^{28} +(0.162162 - 1.35736i) q^{29} +(-0.857603 - 6.48800i) q^{30} +(-0.777649 - 9.53750i) q^{31} +(-0.395521 - 1.43414i) q^{32} +(1.07810 - 1.78049i) q^{33} +(-1.06602 - 4.78882i) q^{34} +(-8.71276 - 0.218149i) q^{35} +(-0.140273 - 0.0512762i) q^{36} +(-3.22248 - 4.07064i) q^{37} +(1.82051 - 3.58960i) q^{38} +(-0.0748788 + 0.127230i) q^{39} +(-5.12945 - 5.16165i) q^{40} +(-1.23271 + 6.27419i) q^{41} +(3.56624 - 6.42208i) q^{42} +(-0.791381 + 4.31257i) q^{43} +(0.0374808 + 0.350971i) q^{44} +(-1.55174 + 0.254738i) q^{45} +(5.03538 - 2.13202i) q^{46} +(4.81688 - 0.180954i) q^{47} +(6.64778 - 2.05925i) q^{48} +(-2.19259 - 1.71353i) q^{49} +(4.00375 + 1.13120i) q^{50} +(4.92933 - 1.26038i) q^{51} +(-0.00296972 - 0.0248578i) q^{52} +(-0.962230 + 2.15878i) q^{53} +(2.62667 - 7.94844i) q^{54} +(2.15800 + 3.02562i) q^{55} +(-1.17163 - 8.08356i) q^{56} +(3.77992 + 1.77061i) q^{57} +(-1.73942 + 1.09838i) q^{58} +(3.91906 - 9.41973i) q^{59} +(-0.790591 + 0.836423i) q^{60} +(-0.192475 - 0.317873i) q^{61} +(-10.4032 + 9.95716i) q^{62} +(-1.56916 - 0.808205i) q^{63} +(3.87877 - 5.43823i) q^{64} +(-0.155732 - 0.212663i) q^{65} +(-3.10268 + 0.429895i) q^{66} +(-0.317114 + 0.194737i) q^{67} +(-0.535528 + 0.676479i) q^{68} +(2.37335 + 5.15032i) q^{69} +(8.01146 + 10.3846i) q^{70} +(0.0612202 + 0.388101i) q^{71} +(-0.479896 - 1.39341i) q^{72} +(-6.12020 - 5.85780i) q^{73} +(-1.69767 + 7.62630i) q^{74} +(-1.04266 + 4.18685i) q^{75} +(-0.691864 + 0.149476i) q^{76} +(-0.0783120 + 4.17071i) q^{77} +(0.219663 - 0.0332427i) q^{78} +(-0.236857 - 4.20085i) q^{79} +(-1.31947 + 12.3556i) q^{80} +(6.70097 + 1.98416i) q^{81} +(8.49858 - 4.51272i) q^{82} +(-1.62063 - 3.09871i) q^{83} +(-1.27208 + 0.225215i) q^{84} +(-1.41548 + 8.97334i) q^{85} +(5.78845 - 3.16715i) q^{86} +(-1.19498 - 1.76738i) q^{87} +(-2.45508 + 2.47049i) q^{88} +(1.82403 + 6.95218i) q^{89} +(1.76978 + 1.57094i) q^{90} +(0.00185155 - 0.295859i) q^{91} +(-0.849336 - 0.450994i) q^{92} +(-10.6588 - 10.4605i) q^{93} +(-4.78142 - 5.45504i) q^{94} +(-5.57364 + 4.94740i) q^{95} +(-1.93149 - 1.28839i) q^{96} +(-1.85647 - 7.87370i) q^{97} +(0.0786166 + 4.18693i) q^{98} +(0.126569 + 0.741921i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.948756 1.16812i −0.670872 0.825989i 0.321803 0.946807i \(-0.395711\pi\)
−0.992675 + 0.120818i \(0.961448\pi\)
\(3\) 1.18005 1.02135i 0.681304 0.589675i −0.243600 0.969876i \(-0.578328\pi\)
0.924904 + 0.380201i \(0.124145\pi\)
\(4\) −0.0542683 + 0.259030i −0.0271341 + 0.129515i
\(5\) 0.841155 + 2.65653i 0.376176 + 1.18803i 0.933756 + 0.357911i \(0.116511\pi\)
−0.557580 + 0.830123i \(0.688270\pi\)
\(6\) −2.31264 0.409440i −0.944132 0.167153i
\(7\) −1.01850 + 2.95726i −0.384956 + 1.11774i 0.570167 + 0.821529i \(0.306879\pi\)
−0.955123 + 0.296211i \(0.904277\pi\)
\(8\) −2.32163 + 1.19577i −0.820821 + 0.422769i
\(9\) −0.0809476 + 0.558491i −0.0269825 + 0.186164i
\(10\) 2.30510 3.50297i 0.728937 1.10774i
\(11\) 1.26893 0.410546i 0.382598 0.123784i −0.110241 0.993905i \(-0.535162\pi\)
0.492839 + 0.870121i \(0.335959\pi\)
\(12\) 0.200520 + 0.361095i 0.0578850 + 0.104239i
\(13\) −0.0896291 + 0.0302426i −0.0248586 + 0.00838780i −0.332112 0.943240i \(-0.607761\pi\)
0.307254 + 0.951628i \(0.400590\pi\)
\(14\) 4.42076 1.61599i 1.18150 0.431891i
\(15\) 3.70584 + 2.27573i 0.956844 + 0.587591i
\(16\) 4.08427 + 1.78992i 1.02107 + 0.447480i
\(17\) 2.91671 + 1.45637i 0.707406 + 0.353222i 0.764036 0.645174i \(-0.223215\pi\)
−0.0566304 + 0.998395i \(0.518036\pi\)
\(18\) 0.729187 0.435315i 0.171871 0.102605i
\(19\) 1.08885 + 2.44286i 0.249800 + 0.560431i 0.994230 0.107270i \(-0.0342108\pi\)
−0.744430 + 0.667701i \(0.767279\pi\)
\(20\) −0.733767 + 0.0737189i −0.164075 + 0.0164841i
\(21\) 1.81851 + 4.52996i 0.396831 + 0.988519i
\(22\) −1.68348 1.09276i −0.358919 0.232978i
\(23\) −1.00982 + 3.49048i −0.210561 + 0.727815i 0.783729 + 0.621103i \(0.213315\pi\)
−0.994290 + 0.106712i \(0.965968\pi\)
\(24\) −1.51835 + 3.78226i −0.309932 + 0.772051i
\(25\) −2.26082 + 1.59126i −0.452164 + 0.318251i
\(26\) 0.120363 + 0.0760051i 0.0236052 + 0.0149058i
\(27\) 2.99944 + 4.68478i 0.577243 + 0.901587i
\(28\) −0.710746 0.424306i −0.134318 0.0801864i
\(29\) 0.162162 1.35736i 0.0301127 0.252056i −0.969852 0.243693i \(-0.921641\pi\)
0.999965 0.00836235i \(-0.00266185\pi\)
\(30\) −0.857603 6.48800i −0.156576 1.18454i
\(31\) −0.777649 9.53750i −0.139670 1.71299i −0.579556 0.814932i \(-0.696774\pi\)
0.439886 0.898054i \(-0.355019\pi\)
\(32\) −0.395521 1.43414i −0.0699189 0.253522i
\(33\) 1.07810 1.78049i 0.187673 0.309943i
\(34\) −1.06602 4.78882i −0.182821 0.821276i
\(35\) −8.71276 0.218149i −1.47272 0.0368738i
\(36\) −0.140273 0.0512762i −0.0233788 0.00854603i
\(37\) −3.22248 4.07064i −0.529772 0.669209i 0.444186 0.895934i \(-0.353493\pi\)
−0.973959 + 0.226726i \(0.927198\pi\)
\(38\) 1.82051 3.58960i 0.295326 0.582310i
\(39\) −0.0748788 + 0.127230i −0.0119902 + 0.0203732i
\(40\) −5.12945 5.16165i −0.811037 0.816128i
\(41\) −1.23271 + 6.27419i −0.192518 + 0.979864i 0.753917 + 0.656969i \(0.228162\pi\)
−0.946435 + 0.322895i \(0.895344\pi\)
\(42\) 3.56624 6.42208i 0.550283 0.990948i
\(43\) −0.791381 + 4.31257i −0.120684 + 0.657661i 0.866639 + 0.498937i \(0.166276\pi\)
−0.987323 + 0.158724i \(0.949262\pi\)
\(44\) 0.0374808 + 0.350971i 0.00565045 + 0.0529108i
\(45\) −1.55174 + 0.254738i −0.231319 + 0.0379741i
\(46\) 5.03538 2.13202i 0.742426 0.314350i
\(47\) 4.81688 0.180954i 0.702614 0.0263948i 0.316163 0.948705i \(-0.397605\pi\)
0.386451 + 0.922310i \(0.373701\pi\)
\(48\) 6.64778 2.05925i 0.959524 0.297227i
\(49\) −2.19259 1.71353i −0.313227 0.244790i
\(50\) 4.00375 + 1.13120i 0.566216 + 0.159976i
\(51\) 4.92933 1.26038i 0.690244 0.176488i
\(52\) −0.00296972 0.0248578i −0.000411827 0.00344716i
\(53\) −0.962230 + 2.15878i −0.132172 + 0.296531i −0.967348 0.253453i \(-0.918434\pi\)
0.835175 + 0.549984i \(0.185366\pi\)
\(54\) 2.62667 7.94844i 0.357445 1.08165i
\(55\) 2.15800 + 3.02562i 0.290984 + 0.407975i
\(56\) −1.17163 8.08356i −0.156566 1.08021i
\(57\) 3.77992 + 1.77061i 0.500662 + 0.234523i
\(58\) −1.73942 + 1.09838i −0.228397 + 0.144224i
\(59\) 3.91906 9.41973i 0.510218 1.22634i −0.435156 0.900355i \(-0.643307\pi\)
0.945373 0.325989i \(-0.105697\pi\)
\(60\) −0.790591 + 0.836423i −0.102065 + 0.107982i
\(61\) −0.192475 0.317873i −0.0246438 0.0406995i 0.842843 0.538159i \(-0.180880\pi\)
−0.867487 + 0.497459i \(0.834266\pi\)
\(62\) −10.4032 + 9.95716i −1.32121 + 1.26456i
\(63\) −1.56916 0.808205i −0.197696 0.101824i
\(64\) 3.87877 5.43823i 0.484846 0.679779i
\(65\) −0.155732 0.212663i −0.0193162 0.0263776i
\(66\) −3.10268 + 0.429895i −0.381914 + 0.0529164i
\(67\) −0.317114 + 0.194737i −0.0387416 + 0.0237909i −0.542534 0.840034i \(-0.682535\pi\)
0.503793 + 0.863825i \(0.331938\pi\)
\(68\) −0.535528 + 0.676479i −0.0649423 + 0.0820351i
\(69\) 2.37335 + 5.15032i 0.285718 + 0.620025i
\(70\) 8.01146 + 10.3846i 0.957552 + 1.24119i
\(71\) 0.0612202 + 0.388101i 0.00726551 + 0.0460591i 0.991150 0.132744i \(-0.0423789\pi\)
−0.983885 + 0.178804i \(0.942777\pi\)
\(72\) −0.479896 1.39341i −0.0565563 0.164214i
\(73\) −6.12020 5.85780i −0.716316 0.685604i 0.242334 0.970193i \(-0.422087\pi\)
−0.958650 + 0.284589i \(0.908143\pi\)
\(74\) −1.69767 + 7.62630i −0.197350 + 0.886539i
\(75\) −1.04266 + 4.18685i −0.120396 + 0.483456i
\(76\) −0.691864 + 0.149476i −0.0793623 + 0.0171460i
\(77\) −0.0783120 + 4.17071i −0.00892448 + 0.475296i
\(78\) 0.219663 0.0332427i 0.0248719 0.00376400i
\(79\) −0.236857 4.20085i −0.0266484 0.472633i −0.983368 0.181622i \(-0.941865\pi\)
0.956720 0.291010i \(-0.0939914\pi\)
\(80\) −1.31947 + 12.3556i −0.147522 + 1.38139i
\(81\) 6.70097 + 1.98416i 0.744552 + 0.220462i
\(82\) 8.49858 4.51272i 0.938512 0.498346i
\(83\) −1.62063 3.09871i −0.177887 0.340128i 0.780711 0.624893i \(-0.214857\pi\)
−0.958597 + 0.284765i \(0.908084\pi\)
\(84\) −1.27208 + 0.225215i −0.138796 + 0.0245729i
\(85\) −1.41548 + 8.97334i −0.153531 + 0.973296i
\(86\) 5.78845 3.16715i 0.624184 0.341522i
\(87\) −1.19498 1.76738i −0.128115 0.189483i
\(88\) −2.45508 + 2.47049i −0.261712 + 0.263355i
\(89\) 1.82403 + 6.95218i 0.193346 + 0.736930i 0.991005 + 0.133821i \(0.0427248\pi\)
−0.797659 + 0.603109i \(0.793929\pi\)
\(90\) 1.76978 + 1.57094i 0.186552 + 0.165591i
\(91\) 0.00185155 0.295859i 0.000194096 0.0310144i
\(92\) −0.849336 0.450994i −0.0885494 0.0470194i
\(93\) −10.6588 10.4605i −1.10526 1.08470i
\(94\) −4.78142 5.45504i −0.493166 0.562644i
\(95\) −5.57364 + 4.94740i −0.571843 + 0.507592i
\(96\) −1.93149 1.28839i −0.197132 0.131496i
\(97\) −1.85647 7.87370i −0.188496 0.799453i −0.981690 0.190485i \(-0.938994\pi\)
0.793195 0.608968i \(-0.208416\pi\)
\(98\) 0.0786166 + 4.18693i 0.00794148 + 0.422944i
\(99\) 0.126569 + 0.741921i 0.0127207 + 0.0745658i
\(100\) −0.289492 0.671974i −0.0289492 0.0671974i
\(101\) −4.10311 + 1.61741i −0.408274 + 0.160938i −0.561927 0.827187i \(-0.689940\pi\)
0.153653 + 0.988125i \(0.450896\pi\)
\(102\) −6.14901 4.56228i −0.608842 0.451733i
\(103\) 0.349468 0.0709356i 0.0344341 0.00698949i −0.181677 0.983358i \(-0.558153\pi\)
0.216111 + 0.976369i \(0.430663\pi\)
\(104\) 0.171923 0.177388i 0.0168584 0.0173943i
\(105\) −10.5043 + 8.64132i −1.02512 + 0.843306i
\(106\) 3.43465 0.924151i 0.333602 0.0897615i
\(107\) 13.4330 + 0.504632i 1.29862 + 0.0487846i 0.677844 0.735206i \(-0.262915\pi\)
0.620773 + 0.783990i \(0.286819\pi\)
\(108\) −1.37627 + 0.522709i −0.132432 + 0.0502977i
\(109\) −9.45904 10.0074i −0.906012 0.958534i 0.0932998 0.995638i \(-0.470258\pi\)
−0.999311 + 0.0371038i \(0.988187\pi\)
\(110\) 1.48689 5.39138i 0.141769 0.514048i
\(111\) −7.96023 1.51230i −0.755551 0.143541i
\(112\) −9.45308 + 10.2552i −0.893232 + 0.969027i
\(113\) 4.84552 + 9.85812i 0.455828 + 0.927374i 0.996294 + 0.0860081i \(0.0274111\pi\)
−0.540467 + 0.841365i \(0.681752\pi\)
\(114\) −1.51793 6.09529i −0.142167 0.570876i
\(115\) −10.1220 + 0.253432i −0.943877 + 0.0236326i
\(116\) 0.342797 + 0.115666i 0.0318279 + 0.0107394i
\(117\) −0.00963499 0.0525051i −0.000890755 0.00485410i
\(118\) −14.7217 + 4.35908i −1.35524 + 0.401286i
\(119\) −7.27753 + 7.14216i −0.667130 + 0.654721i
\(120\) −11.3248 0.852074i −1.03381 0.0777834i
\(121\) −7.47370 + 5.40143i −0.679427 + 0.491039i
\(122\) −0.188704 + 0.526418i −0.0170845 + 0.0476597i
\(123\) 4.95346 + 8.66291i 0.446638 + 0.781108i
\(124\) 2.51270 + 0.316149i 0.225647 + 0.0283911i
\(125\) 4.95543 + 3.77377i 0.443227 + 0.337537i
\(126\) 0.544666 + 2.59976i 0.0485227 + 0.231605i
\(127\) 11.3642 6.40402i 1.00841 0.568265i 0.103842 0.994594i \(-0.466887\pi\)
0.904568 + 0.426329i \(0.140193\pi\)
\(128\) −13.0021 + 0.814753i −1.14923 + 0.0720147i
\(129\) 3.47076 + 5.89733i 0.305583 + 0.519231i
\(130\) −0.100665 + 0.383680i −0.00882892 + 0.0336510i
\(131\) 14.3147 9.54860i 1.25068 0.834265i 0.259368 0.965779i \(-0.416486\pi\)
0.991314 + 0.131514i \(0.0419837\pi\)
\(132\) 0.402692 + 0.375883i 0.0350499 + 0.0327164i
\(133\) −8.33318 + 0.731978i −0.722579 + 0.0634706i
\(134\) 0.528341 + 0.185670i 0.0456417 + 0.0160394i
\(135\) −9.92225 + 11.9087i −0.853971 + 1.02494i
\(136\) −8.51301 + 0.106557i −0.729984 + 0.00913718i
\(137\) −2.07537 5.36301i −0.177311 0.458193i 0.815373 0.578936i \(-0.196532\pi\)
−0.992684 + 0.120743i \(0.961472\pi\)
\(138\) 3.76448 7.65877i 0.320454 0.651958i
\(139\) −3.43660 0.742469i −0.291489 0.0629754i 0.0630702 0.998009i \(-0.479911\pi\)
−0.354559 + 0.935034i \(0.615369\pi\)
\(140\) 0.529333 2.24502i 0.0447368 0.189739i
\(141\) 5.49936 5.13324i 0.463129 0.432297i
\(142\) 0.395267 0.439726i 0.0331701 0.0369010i
\(143\) −0.101317 + 0.0751728i −0.00847258 + 0.00628626i
\(144\) −1.33027 + 2.13614i −0.110856 + 0.178011i
\(145\) 3.74227 0.710964i 0.310779 0.0590423i
\(146\) −1.03606 + 12.7068i −0.0857449 + 1.05162i
\(147\) −4.33747 + 0.217338i −0.357749 + 0.0179257i
\(148\) 1.22929 0.613811i 0.101047 0.0504550i
\(149\) −9.16790 + 14.3192i −0.751064 + 1.17308i 0.228813 + 0.973470i \(0.426516\pi\)
−0.979876 + 0.199605i \(0.936034\pi\)
\(150\) 5.87999 2.75434i 0.480099 0.224891i
\(151\) −6.55817 9.96618i −0.533696 0.811036i 0.463482 0.886106i \(-0.346600\pi\)
−0.997178 + 0.0750699i \(0.976082\pi\)
\(152\) −5.44902 4.36941i −0.441974 0.354406i
\(153\) −1.04947 + 1.51107i −0.0848447 + 0.122162i
\(154\) 4.94620 3.86551i 0.398577 0.311491i
\(155\) 24.6825 10.0884i 1.98255 0.810317i
\(156\) −0.0288929 0.0263004i −0.00231328 0.00210572i
\(157\) 3.26382 6.85562i 0.260481 0.547138i −0.730217 0.683215i \(-0.760581\pi\)
0.990698 + 0.136078i \(0.0434496\pi\)
\(158\) −4.68240 + 4.26226i −0.372512 + 0.339087i
\(159\) 1.06938 + 3.53024i 0.0848074 + 0.279967i
\(160\) 3.47713 2.25704i 0.274891 0.178435i
\(161\) −9.29376 6.54133i −0.732451 0.515529i
\(162\) −4.03984 9.71005i −0.317400 0.762894i
\(163\) 17.5961 + 6.68300i 1.37823 + 0.523453i 0.929039 0.369982i \(-0.120636\pi\)
0.449192 + 0.893435i \(0.351712\pi\)
\(164\) −1.55830 0.659799i −0.121683 0.0515217i
\(165\) 5.63676 + 1.36633i 0.438821 + 0.106369i
\(166\) −2.08210 + 4.83302i −0.161603 + 0.375115i
\(167\) −0.599552 + 19.1544i −0.0463947 + 1.48221i 0.647461 + 0.762099i \(0.275831\pi\)
−0.693855 + 0.720114i \(0.744089\pi\)
\(168\) −9.63870 8.34239i −0.743642 0.643629i
\(169\) −10.3353 + 7.87077i −0.795023 + 0.605444i
\(170\) 11.8249 6.86006i 0.906931 0.526142i
\(171\) −1.45246 + 0.410372i −0.111072 + 0.0313819i
\(172\) −1.07414 0.439027i −0.0819021 0.0334755i
\(173\) 5.45202 + 11.4519i 0.414509 + 0.870672i 0.998273 + 0.0587486i \(0.0187110\pi\)
−0.583763 + 0.811924i \(0.698420\pi\)
\(174\) −0.930780 + 3.07270i −0.0705623 + 0.232941i
\(175\) −2.40313 8.30653i −0.181659 0.627915i
\(176\) 5.91751 + 0.594511i 0.446049 + 0.0448129i
\(177\) −4.99612 15.1185i −0.375531 1.13638i
\(178\) 6.39046 8.72662i 0.478985 0.654088i
\(179\) −5.40516 + 10.0273i −0.404001 + 0.749474i −0.998507 0.0546168i \(-0.982606\pi\)
0.594507 + 0.804091i \(0.297347\pi\)
\(180\) 0.0182253 0.415770i 0.00135843 0.0309896i
\(181\) −0.393877 5.71262i −0.0292767 0.424616i −0.989417 0.145098i \(-0.953650\pi\)
0.960141 0.279517i \(-0.0901745\pi\)
\(182\) −0.347357 + 0.278535i −0.0257478 + 0.0206464i
\(183\) −0.551789 0.178524i −0.0407894 0.0131969i
\(184\) −1.82939 9.31111i −0.134864 0.686424i
\(185\) 8.10315 11.9846i 0.595756 0.881128i
\(186\) −2.10661 + 22.3752i −0.154464 + 1.64063i
\(187\) 4.29901 + 0.650593i 0.314375 + 0.0475761i
\(188\) −0.214531 + 1.25753i −0.0156463 + 0.0917152i
\(189\) −16.9090 + 4.09870i −1.22995 + 0.298136i
\(190\) 11.0672 + 1.81683i 0.802899 + 0.131807i
\(191\) 1.53411 27.2087i 0.111004 1.96875i −0.111338 0.993783i \(-0.535514\pi\)
0.222342 0.974969i \(-0.428630\pi\)
\(192\) −0.977169 10.3790i −0.0705211 0.749037i
\(193\) 7.58710 + 4.15128i 0.546132 + 0.298816i 0.729218 0.684281i \(-0.239884\pi\)
−0.183087 + 0.983097i \(0.558609\pi\)
\(194\) −7.43613 + 9.63881i −0.533883 + 0.692026i
\(195\) −0.400975 0.0918972i −0.0287144 0.00658090i
\(196\) 0.562842 0.474955i 0.0402030 0.0339253i
\(197\) −4.74597 + 0.357083i −0.338136 + 0.0254411i −0.243009 0.970024i \(-0.578135\pi\)
−0.0951271 + 0.995465i \(0.530326\pi\)
\(198\) 0.746572 0.851750i 0.0530566 0.0605313i
\(199\) −0.125187 20.0036i −0.00887429 1.41802i −0.709609 0.704596i \(-0.751128\pi\)
0.700734 0.713422i \(-0.252856\pi\)
\(200\) 3.34601 6.39774i 0.236599 0.452388i
\(201\) −0.175317 + 0.553683i −0.0123659 + 0.0390538i
\(202\) 5.78218 + 3.25841i 0.406833 + 0.229261i
\(203\) 3.84891 + 1.86202i 0.270141 + 0.130688i
\(204\) 0.0589688 + 1.34524i 0.00412864 + 0.0941857i
\(205\) −17.7045 + 2.00283i −1.23653 + 0.139884i
\(206\) −0.414421 0.340922i −0.0288741 0.0237531i
\(207\) −1.86766 0.846519i −0.129811 0.0588371i
\(208\) −0.420201 0.0369100i −0.0291357 0.00255925i
\(209\) 2.38459 + 2.65281i 0.164946 + 0.183498i
\(210\) 20.0602 + 4.07185i 1.38428 + 0.280984i
\(211\) 15.1098 10.3545i 1.04020 0.712834i 0.0813313 0.996687i \(-0.474083\pi\)
0.958868 + 0.283853i \(0.0916127\pi\)
\(212\) −0.506969 0.366399i −0.0348188 0.0251644i
\(213\) 0.468629 + 0.395453i 0.0321099 + 0.0270960i
\(214\) −12.1552 16.1702i −0.830910 1.10537i
\(215\) −12.1221 + 1.52522i −0.826722 + 0.104019i
\(216\) −12.5655 7.28970i −0.854975 0.496001i
\(217\) 28.9969 + 7.41420i 1.96844 + 0.503309i
\(218\) −2.71556 + 20.5439i −0.183921 + 1.39141i
\(219\) −13.2050 0.661665i −0.892312 0.0447112i
\(220\) −0.900836 + 0.394790i −0.0607344 + 0.0266167i
\(221\) −0.305466 0.0423242i −0.0205479 0.00284703i
\(222\) 5.78576 + 10.7333i 0.388315 + 0.720375i
\(223\) −15.5843 + 7.53935i −1.04360 + 0.504873i −0.876668 0.481096i \(-0.840239\pi\)
−0.166933 + 0.985968i \(0.553386\pi\)
\(224\) 4.64396 + 0.291006i 0.310287 + 0.0194437i
\(225\) −0.705695 1.39146i −0.0470463 0.0927638i
\(226\) 6.91829 15.0131i 0.460198 0.998658i
\(227\) 12.7462 2.92122i 0.845992 0.193888i 0.221735 0.975107i \(-0.428828\pi\)
0.624257 + 0.781219i \(0.285402\pi\)
\(228\) −0.663770 + 0.883022i −0.0439592 + 0.0584796i
\(229\) 11.0305 19.2909i 0.728918 1.27478i −0.224897 0.974383i \(-0.572204\pi\)
0.953815 0.300394i \(-0.0971182\pi\)
\(230\) 9.89931 + 11.5833i 0.652741 + 0.763777i
\(231\) 4.16733 + 5.00164i 0.274190 + 0.329084i
\(232\) 1.24661 + 3.34520i 0.0818441 + 0.219623i
\(233\) 18.4357 + 0.230759i 1.20777 + 0.0151176i 0.613858 0.789416i \(-0.289617\pi\)
0.593907 + 0.804534i \(0.297585\pi\)
\(234\) −0.0521913 + 0.0610694i −0.00341185 + 0.00399223i
\(235\) 4.53245 + 12.6440i 0.295664 + 0.824801i
\(236\) 2.22731 + 1.52634i 0.144985 + 0.0993566i
\(237\) −4.57003 4.71531i −0.296855 0.306292i
\(238\) 15.2475 + 1.72489i 0.988351 + 0.111808i
\(239\) −0.965360 + 14.0011i −0.0624439 + 0.905659i 0.857718 + 0.514121i \(0.171882\pi\)
−0.920162 + 0.391538i \(0.871943\pi\)
\(240\) 11.0623 + 15.9278i 0.714066 + 1.02814i
\(241\) 15.2122 + 4.71219i 0.979901 + 0.303539i 0.743957 0.668227i \(-0.232947\pi\)
0.235944 + 0.971767i \(0.424182\pi\)
\(242\) 13.4003 + 3.60557i 0.861402 + 0.231775i
\(243\) −5.26573 + 2.38670i −0.337796 + 0.153107i
\(244\) 0.0927838 0.0326062i 0.00593988 0.00208740i
\(245\) 2.70772 7.26600i 0.172990 0.464208i
\(246\) 5.41973 14.0052i 0.345549 0.892942i
\(247\) −0.171472 0.186022i −0.0109105 0.0118363i
\(248\) 13.2101 + 21.2127i 0.838841 + 1.34701i
\(249\) −5.07728 2.00142i −0.321760 0.126835i
\(250\) −0.293257 9.36895i −0.0185472 0.592545i
\(251\) 10.2147 12.5765i 0.644746 0.793822i −0.344701 0.938712i \(-0.612020\pi\)
0.989448 + 0.144890i \(0.0462828\pi\)
\(252\) 0.294505 0.362599i 0.0185520 0.0228416i
\(253\) 0.151614 + 4.84376i 0.00953191 + 0.304524i
\(254\) −18.2626 7.19895i −1.14589 0.451702i
\(255\) 7.49455 + 12.0347i 0.469327 + 0.753643i
\(256\) 4.23290 + 4.59208i 0.264556 + 0.287005i
\(257\) 1.73893 4.49360i 0.108471 0.280303i −0.867778 0.496951i \(-0.834453\pi\)
0.976250 + 0.216648i \(0.0695125\pi\)
\(258\) 3.59592 9.64941i 0.223872 0.600746i
\(259\) 15.3200 5.38378i 0.951940 0.334532i
\(260\) 0.0635374 0.0287984i 0.00394042 0.00178600i
\(261\) 0.744948 + 0.200441i 0.0461111 + 0.0124070i
\(262\) −24.7351 7.66208i −1.52814 0.473365i
\(263\) −9.07033 13.0598i −0.559301 0.805302i 0.436220 0.899840i \(-0.356317\pi\)
−0.995521 + 0.0945381i \(0.969863\pi\)
\(264\) −0.373894 + 5.42279i −0.0230116 + 0.333750i
\(265\) −6.54424 0.740321i −0.402009 0.0454776i
\(266\) 8.76120 + 9.03973i 0.537184 + 0.554261i
\(267\) 9.25304 + 6.34098i 0.566277 + 0.388062i
\(268\) −0.0332335 0.0927098i −0.00203006 0.00566315i
\(269\) 12.9032 15.0982i 0.786723 0.920551i −0.211663 0.977343i \(-0.567888\pi\)
0.998386 + 0.0567918i \(0.0180871\pi\)
\(270\) 23.3247 + 0.291954i 1.41949 + 0.0177677i
\(271\) −0.149613 0.401477i −0.00908835 0.0243880i 0.932426 0.361362i \(-0.117688\pi\)
−0.941514 + 0.336974i \(0.890597\pi\)
\(272\) 9.30582 + 11.1689i 0.564248 + 0.677213i
\(273\) −0.299989 0.351020i −0.0181562 0.0212447i
\(274\) −4.29564 + 7.51248i −0.259509 + 0.453846i
\(275\) −2.21555 + 2.94737i −0.133602 + 0.177733i
\(276\) −1.46288 + 0.335270i −0.0880552 + 0.0201809i
\(277\) −2.80369 + 6.08417i −0.168457 + 0.365562i −0.973854 0.227173i \(-0.927052\pi\)
0.805397 + 0.592736i \(0.201952\pi\)
\(278\) 2.39320 + 4.71880i 0.143535 + 0.283015i
\(279\) 5.38956 + 0.337728i 0.322664 + 0.0202192i
\(280\) 20.4887 9.91199i 1.22443 0.592355i
\(281\) 3.86273 + 7.16587i 0.230431 + 0.427480i 0.969128 0.246558i \(-0.0792995\pi\)
−0.738697 + 0.674038i \(0.764559\pi\)
\(282\) −11.2138 1.55374i −0.667773 0.0925239i
\(283\) 1.04914 0.459784i 0.0623649 0.0273313i −0.369979 0.929040i \(-0.620635\pi\)
0.432344 + 0.901709i \(0.357687\pi\)
\(284\) −0.103852 0.00520372i −0.00616248 0.000308784i
\(285\) −1.52418 + 11.5308i −0.0902844 + 0.683026i
\(286\) 0.183937 + 0.0470306i 0.0108764 + 0.00278098i
\(287\) −17.2989 10.0357i −1.02112 0.592389i
\(288\) 0.832970 0.104805i 0.0490832 0.00617569i
\(289\) −3.82863 5.09328i −0.225213 0.299604i
\(290\) −4.38100 3.69691i −0.257261 0.217090i
\(291\) −10.2325 7.39529i −0.599840 0.433519i
\(292\) 1.84948 1.26742i 0.108232 0.0741702i
\(293\) −32.2313 6.54236i −1.88297 0.382209i −0.886256 0.463195i \(-0.846703\pi\)
−0.996715 + 0.0809862i \(0.974193\pi\)
\(294\) 4.36908 + 4.86051i 0.254810 + 0.283471i
\(295\) 28.3203 + 2.48763i 1.64887 + 0.144835i
\(296\) 12.3490 + 5.59718i 0.717769 + 0.325330i
\(297\) 5.72941 + 4.71327i 0.332454 + 0.273491i
\(298\) 25.4247 2.87619i 1.47281 0.166613i
\(299\) −0.0150524 0.343388i −0.000870505 0.0198586i
\(300\) −1.02793 0.497293i −0.0593478 0.0287112i
\(301\) −11.9474 6.73266i −0.688635 0.388064i
\(302\) −5.41964 + 17.1162i −0.311865 + 0.984929i
\(303\) −3.18994 + 6.09932i −0.183258 + 0.350397i
\(304\) 0.0746374 + 11.9263i 0.00428075 + 0.684018i
\(305\) 0.682537 0.778694i 0.0390820 0.0445879i
\(306\) 2.76080 0.207721i 0.157825 0.0118746i
\(307\) 2.85369 2.40809i 0.162869 0.137437i −0.559810 0.828621i \(-0.689126\pi\)
0.722679 + 0.691184i \(0.242911\pi\)
\(308\) −1.07609 0.246622i −0.0613157 0.0140526i
\(309\) 0.339941 0.440636i 0.0193386 0.0250669i
\(310\) −35.2021 19.2608i −1.99935 1.09394i
\(311\) −2.44120 25.9291i −0.138428 1.47031i −0.740603 0.671942i \(-0.765460\pi\)
0.602176 0.798364i \(-0.294301\pi\)
\(312\) 0.0217029 0.384920i 0.00122869 0.0217918i
\(313\) −22.6106 3.71184i −1.27803 0.209805i −0.515573 0.856846i \(-0.672421\pi\)
−0.762456 + 0.647040i \(0.776007\pi\)
\(314\) −11.1048 + 2.69176i −0.626679 + 0.151905i
\(315\) 0.827111 4.84834i 0.0466024 0.273173i
\(316\) 1.10100 + 0.166620i 0.0619360 + 0.00937311i
\(317\) 2.74467 29.1524i 0.154156 1.63736i −0.489468 0.872021i \(-0.662809\pi\)
0.643624 0.765342i \(-0.277430\pi\)
\(318\) 3.10918 4.59851i 0.174354 0.257872i
\(319\) −0.351487 1.78898i −0.0196795 0.100163i
\(320\) 17.7094 + 5.72965i 0.989988 + 0.320297i
\(321\) 16.3670 13.1243i 0.913519 0.732524i
\(322\) 1.17643 + 17.0624i 0.0655598 + 0.950850i
\(323\) −0.381843 + 8.71089i −0.0212463 + 0.484687i
\(324\) −0.877606 + 1.62807i −0.0487559 + 0.0904485i
\(325\) 0.154511 0.210996i 0.00857075 0.0117040i
\(326\) −8.88780 26.8949i −0.492250 1.48957i
\(327\) −21.3832 2.14829i −1.18249 0.118801i
\(328\) −4.64058 16.0404i −0.256233 0.885683i
\(329\) −4.37085 + 14.4291i −0.240973 + 0.795501i
\(330\) −3.75186 7.88075i −0.206533 0.433821i
\(331\) 8.87162 + 3.62605i 0.487628 + 0.199306i 0.608797 0.793326i \(-0.291652\pi\)
−0.121169 + 0.992632i \(0.538664\pi\)
\(332\) 0.890607 0.251628i 0.0488784 0.0138099i
\(333\) 2.53427 1.47022i 0.138877 0.0805674i
\(334\) 22.9436 17.4725i 1.25542 0.956054i
\(335\) −0.784066 0.678616i −0.0428381 0.0370768i
\(336\) −0.681002 + 21.7566i −0.0371517 + 1.18692i
\(337\) 9.67443 22.4565i 0.527000 1.22328i −0.421593 0.906785i \(-0.638529\pi\)
0.948593 0.316497i \(-0.102507\pi\)
\(338\) 18.9997 + 4.60547i 1.03345 + 0.250504i
\(339\) 15.7865 + 6.68414i 0.857406 + 0.363033i
\(340\) −2.24755 0.853620i −0.121890 0.0462940i
\(341\) −4.90237 11.7832i −0.265478 0.638095i
\(342\) 1.85739 + 1.30731i 0.100436 + 0.0706912i
\(343\) −11.0640 + 7.18175i −0.597399 + 0.387778i
\(344\) −3.31955 10.9585i −0.178978 0.590843i
\(345\) −11.6856 + 10.6371i −0.629131 + 0.572682i
\(346\) 8.20462 17.2337i 0.441083 0.926490i
\(347\) 14.2399 + 12.9622i 0.764437 + 0.695846i 0.958484 0.285146i \(-0.0920420\pi\)
−0.194047 + 0.980992i \(0.562162\pi\)
\(348\) 0.522654 0.213622i 0.0280172 0.0114513i
\(349\) −7.14556 + 5.58433i −0.382493 + 0.298922i −0.788604 0.614902i \(-0.789196\pi\)
0.406110 + 0.913824i \(0.366885\pi\)
\(350\) −7.42308 + 10.6880i −0.396780 + 0.571299i
\(351\) −0.410517 0.329182i −0.0219118 0.0175704i
\(352\) −1.09067 1.65745i −0.0581329 0.0883421i
\(353\) −23.9403 + 11.2142i −1.27421 + 0.596874i −0.938561 0.345113i \(-0.887841\pi\)
−0.335651 + 0.941987i \(0.608956\pi\)
\(354\) −12.9202 + 20.1799i −0.686700 + 1.07255i
\(355\) −0.979505 + 0.489086i −0.0519867 + 0.0259580i
\(356\) −1.89981 + 0.0951939i −0.100690 + 0.00504527i
\(357\) −1.29324 + 15.8610i −0.0684456 + 0.839453i
\(358\) 16.8413 3.19954i 0.890090 0.169101i
\(359\) −15.0878 + 24.2279i −0.796302 + 1.27870i 0.160232 + 0.987079i \(0.448776\pi\)
−0.956534 + 0.291619i \(0.905806\pi\)
\(360\) 3.29795 2.44693i 0.173817 0.128964i
\(361\) 7.91972 8.81051i 0.416827 0.463711i
\(362\) −6.29936 + 5.87998i −0.331087 + 0.309045i
\(363\) −3.30263 + 14.0072i −0.173343 + 0.735188i
\(364\) 0.0765357 + 0.0165354i 0.00401156 + 0.000866688i
\(365\) 10.4134 21.1858i 0.545060 1.10892i
\(366\) 0.314975 + 0.813934i 0.0164640 + 0.0425450i
\(367\) 7.37701 0.0923377i 0.385077 0.00481999i 0.180257 0.983620i \(-0.442307\pi\)
0.204820 + 0.978800i \(0.434339\pi\)
\(368\) −10.3720 + 12.4485i −0.540680 + 0.648925i
\(369\) −3.40430 1.19634i −0.177221 0.0622790i
\(370\) −21.6875 + 1.90501i −1.12748 + 0.0990365i
\(371\) −5.40405 5.04428i −0.280564 0.261886i
\(372\) 3.28801 2.19326i 0.170476 0.113715i
\(373\) −5.57385 + 21.2445i −0.288603 + 1.10000i 0.651373 + 0.758757i \(0.274193\pi\)
−0.939977 + 0.341239i \(0.889153\pi\)
\(374\) −3.31874 5.63904i −0.171608 0.291588i
\(375\) 9.70200 0.607960i 0.501009 0.0313949i
\(376\) −10.9666 + 6.17999i −0.565562 + 0.318709i
\(377\) 0.0265158 + 0.126563i 0.00136563 + 0.00651834i
\(378\) 20.8304 + 15.8632i 1.07140 + 0.815916i
\(379\) −5.10805 0.642698i −0.262383 0.0330132i −0.00745093 0.999972i \(-0.502372\pi\)
−0.254932 + 0.966959i \(0.582053\pi\)
\(380\) −0.979051 1.71222i −0.0502242 0.0878352i
\(381\) 6.86963 19.1639i 0.351942 0.981795i
\(382\) −33.2386 + 24.0224i −1.70064 + 1.22909i
\(383\) −0.555114 0.0417664i −0.0283650 0.00213416i 0.0608372 0.998148i \(-0.480623\pi\)
−0.0892022 + 0.996014i \(0.528432\pi\)
\(384\) −14.5110 + 14.2411i −0.740510 + 0.726736i
\(385\) −11.1455 + 3.30017i −0.568025 + 0.168192i
\(386\) −2.34910 12.8012i −0.119566 0.651566i
\(387\) −2.34447 0.791071i −0.119176 0.0402124i
\(388\) 2.14027 0.0535877i 0.108656 0.00272050i
\(389\) 2.05119 + 8.23663i 0.103999 + 0.417614i 0.999630 0.0271842i \(-0.00865406\pi\)
−0.895631 + 0.444798i \(0.853276\pi\)
\(390\) 0.273080 + 0.555577i 0.0138280 + 0.0281327i
\(391\) −8.02876 + 8.71004i −0.406032 + 0.440486i
\(392\) 7.13936 + 1.35635i 0.360592 + 0.0685060i
\(393\) 7.13969 25.8881i 0.360150 1.30588i
\(394\) 4.91988 + 5.20510i 0.247860 + 0.262229i
\(395\) 10.9604 4.16278i 0.551479 0.209452i
\(396\) −0.199048 0.00747756i −0.0100025 0.000375761i
\(397\) −24.9753 + 6.72005i −1.25348 + 0.337269i −0.824404 0.566001i \(-0.808490\pi\)
−0.429071 + 0.903271i \(0.641159\pi\)
\(398\) −23.2479 + 19.1248i −1.16531 + 0.958639i
\(399\) −9.08599 + 9.37484i −0.454868 + 0.469329i
\(400\) −12.0820 + 2.45243i −0.604101 + 0.122621i
\(401\) −18.9152 14.0342i −0.944580 0.700835i 0.00963558 0.999954i \(-0.496933\pi\)
−0.954216 + 0.299119i \(0.903307\pi\)
\(402\) 0.813103 0.320518i 0.0405539 0.0159860i
\(403\) 0.358139 + 0.831320i 0.0178402 + 0.0414110i
\(404\) −0.196289 1.15060i −0.00976573 0.0572445i
\(405\) 0.365587 + 19.4703i 0.0181662 + 0.967486i
\(406\) −1.47660 6.26262i −0.0732826 0.310808i
\(407\) −5.76029 3.84239i −0.285527 0.190460i
\(408\) −9.93696 + 8.82047i −0.491953 + 0.436678i
\(409\) 2.50045 + 2.85271i 0.123639 + 0.141058i 0.810517 0.585716i \(-0.199186\pi\)
−0.686877 + 0.726773i \(0.741019\pi\)
\(410\) 19.1368 + 18.7808i 0.945098 + 0.927519i
\(411\) −7.92654 4.20896i −0.390987 0.207613i
\(412\) −0.000590603 0.0943721i −2.90969e−5 0.00464938i
\(413\) 23.8651 + 21.1836i 1.17432 + 1.04238i
\(414\) 0.783114 + 2.98480i 0.0384879 + 0.146695i
\(415\) 6.86861 6.91173i 0.337167 0.339284i
\(416\) 0.0788223 + 0.116579i 0.00386458 + 0.00571575i
\(417\) −4.81369 + 2.63381i −0.235727 + 0.128978i
\(418\) 0.836411 5.30237i 0.0409102 0.259347i
\(419\) −19.6331 + 3.47593i −0.959141 + 0.169810i −0.631831 0.775106i \(-0.717696\pi\)
−0.327311 + 0.944917i \(0.606142\pi\)
\(420\) −1.66831 3.18988i −0.0814050 0.155650i
\(421\) 11.9880 6.36561i 0.584262 0.310241i −0.150453 0.988617i \(-0.548073\pi\)
0.734714 + 0.678377i \(0.237316\pi\)
\(422\) −26.4308 7.82618i −1.28663 0.380972i
\(423\) −0.288854 + 2.70483i −0.0140446 + 0.131513i
\(424\) −0.347460 6.16250i −0.0168742 0.299277i
\(425\) −8.91161 + 1.34864i −0.432277 + 0.0654188i
\(426\) 0.0173234 0.922605i 0.000839324 0.0447004i
\(427\) 1.13607 0.245445i 0.0549782 0.0118779i
\(428\) −0.859700 + 3.45216i −0.0415552 + 0.166866i
\(429\) −0.0427823 + 0.192188i −0.00206555 + 0.00927892i
\(430\) 13.2826 + 12.7131i 0.640543 + 0.613080i
\(431\) −12.9552 37.6163i −0.624032 1.81191i −0.582583 0.812771i \(-0.697958\pi\)
−0.0414496 0.999141i \(-0.513198\pi\)
\(432\) 3.86512 + 24.5027i 0.185961 + 1.17888i
\(433\) −11.1591 14.4646i −0.536273 0.695124i 0.443263 0.896392i \(-0.353821\pi\)
−0.979536 + 0.201267i \(0.935494\pi\)
\(434\) −18.8503 40.9063i −0.904843 1.96356i
\(435\) 3.68993 4.66113i 0.176919 0.223484i
\(436\) 3.10554 1.90709i 0.148728 0.0913329i
\(437\) −9.62630 + 1.33378i −0.460488 + 0.0638034i
\(438\) 11.7554 + 16.0529i 0.561696 + 0.767035i
\(439\) −9.52835 + 13.3592i −0.454763 + 0.637602i −0.976503 0.215503i \(-0.930861\pi\)
0.521740 + 0.853105i \(0.325283\pi\)
\(440\) −8.62802 4.44391i −0.411325 0.211855i
\(441\) 1.13447 1.08583i 0.0540226 0.0517064i
\(442\) 0.240373 + 0.396978i 0.0114334 + 0.0188823i
\(443\) 16.8390 17.8152i 0.800045 0.846424i −0.190772 0.981634i \(-0.561099\pi\)
0.990817 + 0.135210i \(0.0431709\pi\)
\(444\) 0.823718 1.97986i 0.0390919 0.0939602i
\(445\) −16.9344 + 10.6934i −0.802766 + 0.506917i
\(446\) 23.5926 + 11.0514i 1.11714 + 0.523298i
\(447\) 3.80627 + 26.2610i 0.180030 + 1.24210i
\(448\) 12.1318 + 17.0093i 0.573172 + 0.803616i
\(449\) 6.79317 20.5565i 0.320589 0.970120i −0.655954 0.754801i \(-0.727734\pi\)
0.976544 0.215319i \(-0.0690791\pi\)
\(450\) −0.955862 + 2.14449i −0.0450598 + 0.101092i
\(451\) 1.01161 + 8.46762i 0.0476350 + 0.398724i
\(452\) −2.81650 + 0.720149i −0.132477 + 0.0338730i
\(453\) −17.9179 5.06245i −0.841857 0.237855i
\(454\) −15.5053 12.1176i −0.727702 0.568706i
\(455\) 0.787514 0.243944i 0.0369192 0.0114363i
\(456\) −10.8928 + 0.409206i −0.510103 + 0.0191628i
\(457\) −18.3398 + 7.76522i −0.857899 + 0.363242i −0.773964 0.633230i \(-0.781729\pi\)
−0.0839349 + 0.996471i \(0.526749\pi\)
\(458\) −32.9994 + 5.41730i −1.54196 + 0.253134i
\(459\) 1.92572 + 18.0324i 0.0898848 + 0.841682i
\(460\) 0.483655 2.63564i 0.0225505 0.122887i
\(461\) −0.0773054 + 0.139211i −0.00360047 + 0.00648372i −0.876043 0.482233i \(-0.839826\pi\)
0.872442 + 0.488717i \(0.162535\pi\)
\(462\) 1.88876 9.61329i 0.0878731 0.447251i
\(463\) 29.1704 + 29.3536i 1.35566 + 1.36418i 0.872474 + 0.488661i \(0.162514\pi\)
0.483191 + 0.875515i \(0.339478\pi\)
\(464\) 3.09188 5.25357i 0.143537 0.243891i
\(465\) 18.8229 37.1142i 0.872893 1.72113i
\(466\) −17.2215 21.7542i −0.797769 1.00774i
\(467\) −12.4134 4.53768i −0.574425 0.209979i 0.0396675 0.999213i \(-0.487370\pi\)
−0.614092 + 0.789234i \(0.710478\pi\)
\(468\) 0.0141233 0.000353616i 0.000652848 1.63459e-5i
\(469\) −0.252909 1.13613i −0.0116783 0.0524615i
\(470\) 10.4695 17.2905i 0.482923 0.797551i
\(471\) −3.15048 11.4235i −0.145167 0.526366i
\(472\) 2.16522 + 26.5554i 0.0996625 + 1.22231i
\(473\) 0.766300 + 5.79726i 0.0352345 + 0.266558i
\(474\) −1.17223 + 9.81204i −0.0538423 + 0.450682i
\(475\) −6.34893 3.79023i −0.291309 0.173908i
\(476\) −1.45509 2.27269i −0.0666941 0.104168i
\(477\) −1.12777 0.712145i −0.0516370 0.0326069i
\(478\) 17.2710 12.1560i 0.789956 0.556003i
\(479\) −7.82783 + 19.4994i −0.357663 + 0.890949i 0.635272 + 0.772288i \(0.280888\pi\)
−0.992935 + 0.118660i \(0.962140\pi\)
\(480\) 1.79797 6.21479i 0.0820659 0.283665i
\(481\) 0.411935 + 0.267391i 0.0187826 + 0.0121920i
\(482\) −8.92820 22.2404i −0.406668 1.01302i
\(483\) −17.6481 + 1.77304i −0.803016 + 0.0806761i
\(484\) −0.993545 2.22904i −0.0451612 0.101320i
\(485\) 19.3551 11.5548i 0.878871 0.524674i
\(486\) 7.78385 + 3.88663i 0.353083 + 0.176301i
\(487\) 37.1260 + 16.2704i 1.68234 + 0.737282i 0.999980 + 0.00626566i \(0.00199443\pi\)
0.682360 + 0.731017i \(0.260954\pi\)
\(488\) 0.826958 + 0.507829i 0.0374346 + 0.0229883i
\(489\) 27.5899 10.0854i 1.24766 0.456077i
\(490\) −11.0566 + 3.73071i −0.499485 + 0.168536i
\(491\) −13.3943 24.1205i −0.604477 1.08854i −0.986402 0.164348i \(-0.947448\pi\)
0.381925 0.924193i \(-0.375261\pi\)
\(492\) −2.51277 + 0.812971i −0.113284 + 0.0366516i
\(493\) 2.44980 3.72286i 0.110333 0.167669i
\(494\) −0.0546118 + 0.376790i −0.00245710 + 0.0169526i
\(495\) −1.86447 + 0.960305i −0.0838016 + 0.0431625i
\(496\) 13.8953 40.3456i 0.623915 1.81157i
\(497\) −1.21007 0.214236i −0.0542790 0.00960978i
\(498\) 2.47919 + 7.82976i 0.111095 + 0.350860i
\(499\) −0.0930884 + 0.444323i −0.00416721 + 0.0198906i −0.980784 0.195098i \(-0.937497\pi\)
0.976616 + 0.214989i \(0.0689715\pi\)
\(500\) −1.24644 + 1.07881i −0.0557426 + 0.0482457i
\(501\) 18.8558 + 23.2156i 0.842415 + 1.03720i
\(502\) −24.3822 −1.08823
\(503\) 20.8440 + 8.27825i 0.929386 + 0.369109i
\(504\) 4.60944 0.205321
\(505\) −7.74804 9.53951i −0.344783 0.424503i
\(506\) 5.51427 4.77265i 0.245139 0.212170i
\(507\) −4.15741 + 19.8438i −0.184637 + 0.881296i
\(508\) 1.04212 + 3.29120i 0.0462364 + 0.146023i
\(509\) −8.12011 1.43762i −0.359918 0.0637213i −0.00856197 0.999963i \(-0.502725\pi\)
−0.351356 + 0.936242i \(0.614279\pi\)
\(510\) 6.94755 20.1726i 0.307642 0.893257i
\(511\) 23.5565 12.1329i 1.04208 0.536728i
\(512\) −2.38924 + 16.4844i −0.105591 + 0.728514i
\(513\) −8.17833 + 12.4283i −0.361082 + 0.548722i
\(514\) −6.89890 + 2.23205i −0.304298 + 0.0984514i
\(515\) 0.482399 + 0.868703i 0.0212570 + 0.0382796i
\(516\) −1.71594 + 0.578991i −0.0755399 + 0.0254887i
\(517\) 6.03801 2.20717i 0.265551 0.0970712i
\(518\) −20.8239 12.7878i −0.914950 0.561864i
\(519\) 18.1300 + 7.94545i 0.795820 + 0.348767i
\(520\) 0.615850 + 0.307506i 0.0270068 + 0.0134850i
\(521\) 16.2031 9.67303i 0.709870 0.423783i −0.111812 0.993729i \(-0.535665\pi\)
0.821682 + 0.569946i \(0.193036\pi\)
\(522\) −0.472634 1.06036i −0.0206866 0.0464108i
\(523\) 36.1038 3.62722i 1.57871 0.158607i 0.728498 0.685048i \(-0.240219\pi\)
0.850212 + 0.526440i \(0.176474\pi\)
\(524\) 1.69654 + 4.22612i 0.0741135 + 0.184619i
\(525\) −11.3197 7.34772i −0.494030 0.320681i
\(526\) −6.64994 + 22.9858i −0.289951 + 1.00223i
\(527\) 11.6220 28.9507i 0.506260 1.26111i
\(528\) 7.59017 5.34227i 0.330320 0.232492i
\(529\) 8.28355 + 5.23076i 0.360154 + 0.227424i
\(530\) 5.34410 + 8.34687i 0.232133 + 0.362565i
\(531\) 4.94360 + 2.95126i 0.214534 + 0.128074i
\(532\) 0.262623 2.19826i 0.0113862 0.0953068i
\(533\) −0.0792611 0.599631i −0.00343318 0.0259729i
\(534\) −1.37182 16.8247i −0.0593645 0.728078i
\(535\) 9.95866 + 36.1096i 0.430550 + 1.56115i
\(536\) 0.503360 0.831303i 0.0217418 0.0359068i
\(537\) 3.86295 + 17.3533i 0.166699 + 0.748848i
\(538\) −29.8785 0.748094i −1.28816 0.0322526i
\(539\) −3.48573 1.27419i −0.150141 0.0548834i
\(540\) −2.54625 3.21642i −0.109573 0.138413i
\(541\) −9.47747 + 18.6872i −0.407468 + 0.803427i −0.999998 0.00212194i \(-0.999325\pi\)
0.592530 + 0.805549i \(0.298129\pi\)
\(542\) −0.327029 + 0.555670i −0.0140471 + 0.0238681i
\(543\) −6.29936 6.33891i −0.270331 0.272028i
\(544\) 0.935016 4.75899i 0.0400885 0.204040i
\(545\) 18.6284 33.5459i 0.797952 1.43695i
\(546\) −0.125418 + 0.683457i −0.00536741 + 0.0292493i
\(547\) 0.0102656 + 0.0961277i 0.000438927 + 0.00411012i 0.994563 0.104133i \(-0.0332067\pi\)
−0.994124 + 0.108243i \(0.965478\pi\)
\(548\) 1.50181 0.246541i 0.0641540 0.0105317i
\(549\) 0.193110 0.0817643i 0.00824172 0.00348961i
\(550\) 5.54491 0.208303i 0.236436 0.00888208i
\(551\) 3.49242 1.08183i 0.148782 0.0460875i
\(552\) −11.6686 9.11916i −0.496651 0.388137i
\(553\) 12.6643 + 3.57811i 0.538539 + 0.152157i
\(554\) 9.76709 2.49734i 0.414964 0.106102i
\(555\) −2.67832 22.4186i −0.113688 0.951618i
\(556\) 0.378820 0.849889i 0.0160655 0.0360433i
\(557\) 11.3308 34.2877i 0.480103 1.45282i −0.371404 0.928472i \(-0.621123\pi\)
0.851507 0.524344i \(-0.175689\pi\)
\(558\) −4.71887 6.61610i −0.199766 0.280082i
\(559\) −0.0594928 0.410465i −0.00251628 0.0173608i
\(560\) −35.1947 16.4861i −1.48725 0.696666i
\(561\) 5.73754 3.62305i 0.242239 0.152965i
\(562\) 4.70584 11.3108i 0.198504 0.477118i
\(563\) −26.8206 + 28.3755i −1.13036 + 1.19588i −0.152125 + 0.988361i \(0.548612\pi\)
−0.978230 + 0.207522i \(0.933460\pi\)
\(564\) 1.03122 + 1.70307i 0.0434222 + 0.0717121i
\(565\) −22.1125 + 21.1644i −0.930280 + 0.890395i
\(566\) −1.53246 0.789304i −0.0644142 0.0331769i
\(567\) −12.6926 + 17.7957i −0.533039 + 0.747348i
\(568\) −0.606211 0.827823i −0.0254360 0.0347347i
\(569\) −23.6879 + 3.28210i −0.993050 + 0.137593i −0.615282 0.788307i \(-0.710958\pi\)
−0.377768 + 0.925900i \(0.623308\pi\)
\(570\) 14.9155 9.15949i 0.624741 0.383649i
\(571\) 14.1125 17.8270i 0.590592 0.746036i −0.394343 0.918963i \(-0.629028\pi\)
0.984935 + 0.172927i \(0.0553226\pi\)
\(572\) −0.0139737 0.0303237i −0.000584268 0.00126790i
\(573\) −25.9792 33.6745i −1.08530 1.40677i
\(574\) 4.68950 + 29.7287i 0.195736 + 1.24085i
\(575\) −3.27124 9.49822i −0.136420 0.396103i
\(576\) 2.72323 + 2.60647i 0.113468 + 0.108603i
\(577\) 2.22441 9.99253i 0.0926032 0.415995i −0.907388 0.420295i \(-0.861927\pi\)
0.999991 + 0.00430035i \(0.00136885\pi\)
\(578\) −2.31715 + 9.30459i −0.0963806 + 0.387020i
\(579\) 13.1931 2.85033i 0.548285 0.118456i
\(580\) −0.0189258 + 1.00794i −0.000785850 + 0.0418525i
\(581\) 10.8143 1.63659i 0.448653 0.0678971i
\(582\) 1.06954 + 18.9692i 0.0443338 + 0.786297i
\(583\) −0.334727 + 3.13439i −0.0138630 + 0.129813i
\(584\) 21.2134 + 6.28130i 0.877819 + 0.259922i
\(585\) 0.131377 0.0697605i 0.00543176 0.00288424i
\(586\) 22.9373 + 43.8573i 0.947533 + 1.81173i
\(587\) −7.04722 + 1.24767i −0.290870 + 0.0514968i −0.317856 0.948139i \(-0.602963\pi\)
0.0269859 + 0.999636i \(0.491409\pi\)
\(588\) 0.179090 1.13533i 0.00738555 0.0468201i
\(589\) 22.4521 12.2846i 0.925121 0.506180i
\(590\) −23.9632 35.4418i −0.986549 1.45912i
\(591\) −5.23579 + 5.26866i −0.215371 + 0.216724i
\(592\) −5.87534 22.3936i −0.241475 0.920369i
\(593\) −2.47236 2.19457i −0.101528 0.0901202i 0.611548 0.791207i \(-0.290547\pi\)
−0.713076 + 0.701087i \(0.752698\pi\)
\(594\) 0.0698695 11.1644i 0.00286678 0.458081i
\(595\) −25.0949 13.3253i −1.02879 0.546283i
\(596\) −3.21157 3.15184i −0.131551 0.129104i
\(597\) −20.5783 23.4775i −0.842216 0.960868i
\(598\) −0.386839 + 0.343374i −0.0158190 + 0.0140416i
\(599\) 25.3040 + 16.8790i 1.03389 + 0.689656i 0.951722 0.306962i \(-0.0993126\pi\)
0.0821711 + 0.996618i \(0.473815\pi\)
\(600\) −2.58583 10.9671i −0.105566 0.447730i
\(601\) 0.659950 + 35.1473i 0.0269199 + 1.43369i 0.710440 + 0.703758i \(0.248496\pi\)
−0.683520 + 0.729932i \(0.739552\pi\)
\(602\) 3.47057 + 20.3437i 0.141450 + 0.829146i
\(603\) −0.0830894 0.192869i −0.00338366 0.00785422i
\(604\) 2.93744 1.15791i 0.119523 0.0471148i
\(605\) −20.6356 15.3106i −0.838956 0.622466i
\(606\) 10.1512 2.06052i 0.412366 0.0837028i
\(607\) 21.3903 22.0703i 0.868206 0.895807i −0.127168 0.991881i \(-0.540589\pi\)
0.995374 + 0.0960740i \(0.0306286\pi\)
\(608\) 3.07274 2.52777i 0.124616 0.102515i
\(609\) 6.44369 1.73379i 0.261112 0.0702566i
\(610\) −1.55717 0.0584977i −0.0630481 0.00236850i
\(611\) −0.426260 + 0.161894i −0.0172446 + 0.00654953i
\(612\) −0.334458 0.353847i −0.0135197 0.0143034i
\(613\) 8.27958 30.0213i 0.334409 1.21255i −0.582294 0.812979i \(-0.697845\pi\)
0.916703 0.399570i \(-0.130841\pi\)
\(614\) −5.52040 1.04878i −0.222785 0.0423252i
\(615\) −18.8466 + 20.4458i −0.759969 + 0.824456i
\(616\) −4.80540 9.77649i −0.193615 0.393906i
\(617\) 0.763696 + 3.06665i 0.0307453 + 0.123459i 0.983770 0.179433i \(-0.0574264\pi\)
−0.953025 + 0.302892i \(0.902048\pi\)
\(618\) −0.837238 + 0.0209626i −0.0336787 + 0.000843241i
\(619\) 39.4175 + 13.3002i 1.58432 + 0.534582i 0.967576 0.252581i \(-0.0812794\pi\)
0.616746 + 0.787162i \(0.288451\pi\)
\(620\) 1.27371 + 6.94098i 0.0511533 + 0.278756i
\(621\) −19.3810 + 5.73872i −0.777733 + 0.230287i
\(622\) −27.9723 + 27.4521i −1.12159 + 1.10073i
\(623\) −22.4172 1.68665i −0.898126 0.0675744i
\(624\) −0.533557 + 0.385615i −0.0213594 + 0.0154370i
\(625\) −10.5214 + 29.3511i −0.420857 + 1.17405i
\(626\) 17.1161 + 29.9337i 0.684097 + 1.19639i
\(627\) 5.52338 + 0.694956i 0.220582 + 0.0277539i
\(628\) 1.59869 + 1.21747i 0.0637945 + 0.0485823i
\(629\) −3.47067 16.5660i −0.138385 0.660529i
\(630\) −6.44819 + 3.63372i −0.256902 + 0.144771i
\(631\) 16.9898 1.06464i 0.676354 0.0423826i 0.279336 0.960193i \(-0.409886\pi\)
0.397018 + 0.917811i \(0.370045\pi\)
\(632\) 5.57315 + 9.46960i 0.221688 + 0.376681i
\(633\) 7.25477 27.6512i 0.288351 1.09904i
\(634\) −36.6577 + 24.4524i −1.45586 + 0.971129i
\(635\) 26.5715 + 24.8025i 1.05446 + 0.984258i
\(636\) −0.972471 + 0.0854209i −0.0385610 + 0.00338716i
\(637\) 0.248341 + 0.0872723i 0.00983963 + 0.00345785i
\(638\) −1.75627 + 2.10788i −0.0695315 + 0.0834519i
\(639\) −0.221707 + 0.00277509i −0.00877058 + 0.000109781i
\(640\) −13.1012 33.8550i −0.517869 1.33824i
\(641\) −2.46980 + 5.02476i −0.0975512 + 0.198466i −0.940721 0.339181i \(-0.889850\pi\)
0.843170 + 0.537647i \(0.180687\pi\)
\(642\) −30.8591 6.66703i −1.21791 0.263127i
\(643\) −3.65276 + 15.4922i −0.144051 + 0.610952i 0.852106 + 0.523369i \(0.175325\pi\)
−0.996157 + 0.0875837i \(0.972085\pi\)
\(644\) 2.19875 2.05237i 0.0866431 0.0808748i
\(645\) −12.7470 + 14.1807i −0.501912 + 0.558366i
\(646\) 10.5377 7.81848i 0.414600 0.307614i
\(647\) −17.1935 + 27.6092i −0.675946 + 1.08543i 0.314729 + 0.949182i \(0.398086\pi\)
−0.990675 + 0.136249i \(0.956495\pi\)
\(648\) −17.9298 + 3.40634i −0.704348 + 0.133814i
\(649\) 1.10579 13.5620i 0.0434060 0.532354i
\(650\) −0.393064 + 0.0196953i −0.0154172 + 0.000772512i
\(651\) 41.7904 20.8668i 1.63789 0.817833i
\(652\) −2.68600 + 4.19523i −0.105192 + 0.164298i
\(653\) −13.0367 + 6.10670i −0.510164 + 0.238974i −0.662099 0.749417i \(-0.730334\pi\)
0.151935 + 0.988390i \(0.451450\pi\)
\(654\) 17.7780 + 27.0164i 0.695173 + 1.05643i
\(655\) 37.4070 + 29.9956i 1.46161 + 1.17202i
\(656\) −16.2650 + 23.4190i −0.635043 + 0.914359i
\(657\) 3.76695 2.94391i 0.146963 0.114853i
\(658\) 21.0018 8.58398i 0.818737 0.334638i
\(659\) −2.44961 2.22982i −0.0954233 0.0868613i 0.624037 0.781395i \(-0.285491\pi\)
−0.719461 + 0.694533i \(0.755611\pi\)
\(660\) −0.659817 + 1.38594i −0.0256833 + 0.0539476i
\(661\) 15.9242 14.4954i 0.619381 0.563806i −0.301590 0.953438i \(-0.597517\pi\)
0.920971 + 0.389632i \(0.127398\pi\)
\(662\) −4.18132 13.8034i −0.162512 0.536484i
\(663\) −0.403694 + 0.262042i −0.0156782 + 0.0101769i
\(664\) 7.46785 + 5.25617i 0.289809 + 0.203979i
\(665\) −8.95402 21.5216i −0.347222 0.834572i
\(666\) −4.12180 1.56546i −0.159716 0.0606604i
\(667\) 4.57409 + 1.93671i 0.177109 + 0.0749896i
\(668\) −4.92902 1.19478i −0.190710 0.0462274i
\(669\) −10.6900 + 24.8138i −0.413299 + 0.959357i
\(670\) −0.0488210 + 1.55973i −0.00188612 + 0.0602575i
\(671\) −0.374739 0.324340i −0.0144666 0.0125210i
\(672\) 5.77733 4.39969i 0.222865 0.169722i
\(673\) −22.4858 + 13.0448i −0.866764 + 0.502840i −0.867659 0.497159i \(-0.834376\pi\)
0.000895090 1.00000i \(0.499715\pi\)
\(674\) −35.4106 + 10.0048i −1.36397 + 0.385370i
\(675\) −14.2359 5.81857i −0.547940 0.223957i
\(676\) −1.47788 3.10428i −0.0568417 0.119395i
\(677\) −6.90224 + 22.7857i −0.265275 + 0.875726i 0.718379 + 0.695652i \(0.244885\pi\)
−0.983653 + 0.180074i \(0.942366\pi\)
\(678\) −7.16964 24.7822i −0.275349 0.951756i
\(679\) 25.1754 + 2.52928i 0.966143 + 0.0970650i
\(680\) −7.44383 22.5254i −0.285458 0.863809i
\(681\) 12.0576 16.4654i 0.462047 0.630957i
\(682\) −9.11308 + 16.9060i −0.348958 + 0.647362i
\(683\) −0.533927 + 12.1804i −0.0204302 + 0.466068i 0.961267 + 0.275619i \(0.0888829\pi\)
−0.981697 + 0.190449i \(0.939006\pi\)
\(684\) −0.0274760 0.398500i −0.00105057 0.0152370i
\(685\) 12.5013 10.0244i 0.477649 0.383013i
\(686\) 18.8862 + 6.11037i 0.721078 + 0.233295i
\(687\) −6.68605 34.0302i −0.255089 1.29833i
\(688\) −10.9514 + 16.1972i −0.417517 + 0.617511i
\(689\) 0.0209566 0.222590i 0.000798383 0.00848000i
\(690\) 23.5122 + 3.55823i 0.895095 + 0.135460i
\(691\) −0.490334 + 2.87423i −0.0186532 + 0.109341i −0.993568 0.113238i \(-0.963878\pi\)
0.974915 + 0.222579i \(0.0714475\pi\)
\(692\) −3.26226 + 0.790759i −0.124012 + 0.0300602i
\(693\) −2.32296 0.381345i −0.0882421 0.0144861i
\(694\) 1.63127 28.9319i 0.0619221 1.09824i
\(695\) −0.918325 9.75395i −0.0348340 0.369988i
\(696\) 4.88768 + 2.67429i 0.185267 + 0.101369i
\(697\) −12.7330 + 16.5047i −0.482297 + 0.625160i
\(698\) 13.3026 + 3.04874i 0.503510 + 0.115397i
\(699\) 21.9908 18.5570i 0.831770 0.701889i
\(700\) 2.28205 0.171700i 0.0862534 0.00648965i
\(701\) −8.82868 + 10.0725i −0.333455 + 0.380432i −0.894285 0.447499i \(-0.852315\pi\)
0.560830 + 0.827931i \(0.310482\pi\)
\(702\) 0.00495557 + 0.791849i 0.000187036 + 0.0298864i
\(703\) 6.43520 12.3044i 0.242708 0.464070i
\(704\) 2.68925 8.49316i 0.101355 0.320098i
\(705\) 18.2624 + 10.2913i 0.687802 + 0.387594i
\(706\) 35.8131 + 17.3256i 1.34784 + 0.652059i
\(707\) −0.604104 13.7813i −0.0227197 0.518299i
\(708\) 4.18727 0.473687i 0.157367 0.0178023i
\(709\) −34.4290 28.3228i −1.29301 1.06368i −0.993994 0.109436i \(-0.965096\pi\)
−0.299013 0.954249i \(-0.596657\pi\)
\(710\) 1.50063 + 0.680160i 0.0563175 + 0.0255260i
\(711\) 2.36531 + 0.207767i 0.0887061 + 0.00779185i
\(712\) −12.5479 13.9593i −0.470254 0.523147i
\(713\) 34.0757 + 6.91675i 1.27615 + 0.259034i
\(714\) 19.7546 13.5376i 0.739297 0.506630i
\(715\) −0.284922 0.205920i −0.0106555 0.00770098i
\(716\) −2.30403 1.94426i −0.0861057 0.0726604i
\(717\) 13.1608 + 17.5081i 0.491501 + 0.653850i
\(718\) 42.6158 5.36195i 1.59041 0.200106i
\(719\) 1.07670 + 0.624634i 0.0401543 + 0.0232949i 0.521747 0.853100i \(-0.325280\pi\)
−0.481593 + 0.876395i \(0.659942\pi\)
\(720\) −6.79366 1.73707i −0.253185 0.0647367i
\(721\) −0.146157 + 1.10572i −0.00544317 + 0.0411790i
\(722\) −17.8057 0.892190i −0.662658 0.0332039i
\(723\) 22.7639 9.97625i 0.846600 0.371021i
\(724\) 1.50111 + 0.207988i 0.0557884 + 0.00772981i
\(725\) 1.79329 + 3.32679i 0.0666012 + 0.123554i
\(726\) 19.4956 9.43155i 0.723548 0.350037i
\(727\) −34.5503 2.16504i −1.28140 0.0802968i −0.592748 0.805388i \(-0.701957\pi\)
−0.688653 + 0.725091i \(0.741797\pi\)
\(728\) 0.349480 + 0.689089i 0.0129526 + 0.0255393i
\(729\) −12.5507 + 27.2358i −0.464840 + 1.00873i
\(730\) −34.6274 + 7.93605i −1.28162 + 0.293727i
\(731\) −8.58892 + 11.4260i −0.317673 + 0.422605i
\(732\) 0.0761876 0.133241i 0.00281597 0.00492475i
\(733\) 14.0667 + 16.4596i 0.519567 + 0.607950i 0.956567 0.291512i \(-0.0941582\pi\)
−0.437000 + 0.899461i \(0.643959\pi\)
\(734\) −7.10684 8.52966i −0.262318 0.314835i
\(735\) −4.22585 11.3398i −0.155873 0.418275i
\(736\) 5.40523 + 0.0676570i 0.199239 + 0.00249387i
\(737\) −0.322447 + 0.377298i −0.0118775 + 0.0138980i
\(738\) 1.83237 + 5.11168i 0.0674505 + 0.188163i
\(739\) 2.13456 + 1.46278i 0.0785209 + 0.0538093i 0.603908 0.797054i \(-0.293609\pi\)
−0.525387 + 0.850863i \(0.676080\pi\)
\(740\) 2.66463 + 2.74934i 0.0979538 + 0.101068i
\(741\) −0.392338 0.0443835i −0.0144129 0.00163047i
\(742\) −0.765219 + 11.0984i −0.0280921 + 0.407435i
\(743\) −15.3807 22.1457i −0.564264 0.812448i 0.431717 0.902009i \(-0.357908\pi\)
−0.995981 + 0.0895606i \(0.971454\pi\)
\(744\) 37.2541 + 11.5400i 1.36580 + 0.423077i
\(745\) −45.7510 12.3101i −1.67619 0.451007i
\(746\) 30.1044 13.6449i 1.10220 0.499574i
\(747\) 1.86179 0.654272i 0.0681193 0.0239386i
\(748\) −0.401823 + 1.07827i −0.0146921 + 0.0394253i
\(749\) −15.1738 + 39.2109i −0.554438 + 1.43274i
\(750\) −9.91501 10.7563i −0.362045 0.392766i
\(751\) 24.7965 + 39.8181i 0.904836 + 1.45298i 0.891474 + 0.453071i \(0.149672\pi\)
0.0133620 + 0.999911i \(0.495747\pi\)
\(752\) 19.9973 + 7.88277i 0.729227 + 0.287455i
\(753\) −0.791092 25.2737i −0.0288290 0.921025i
\(754\) 0.122685 0.151051i 0.00446791 0.00550097i
\(755\) 20.9590 25.8051i 0.762776 0.939142i
\(756\) −0.144059 4.60237i −0.00523937 0.167387i
\(757\) −10.9200 4.30459i −0.396896 0.156453i 0.159839 0.987143i \(-0.448902\pi\)
−0.556735 + 0.830690i \(0.687946\pi\)
\(758\) 4.09554 + 6.57660i 0.148757 + 0.238873i
\(759\) 5.12607 + 5.56104i 0.186064 + 0.201853i
\(760\) 7.02398 18.1508i 0.254787 0.658399i
\(761\) 11.3747 30.5233i 0.412333 1.10647i −0.550135 0.835076i \(-0.685424\pi\)
0.962468 0.271394i \(-0.0874847\pi\)
\(762\) −28.9034 + 10.1573i −1.04706 + 0.367959i
\(763\) 39.2285 17.7804i 1.42017 0.643692i
\(764\) 6.96460 + 1.87395i 0.251970 + 0.0677970i
\(765\) −4.89695 1.51691i −0.177050 0.0548438i
\(766\) 0.477880 + 0.688069i 0.0172665 + 0.0248609i
\(767\) −0.0663841 + 0.962805i −0.00239699 + 0.0347649i
\(768\) 9.68514 + 1.09564i 0.349483 + 0.0395354i
\(769\) −9.56986 9.87410i −0.345098 0.356069i 0.523114 0.852263i \(-0.324770\pi\)
−0.868212 + 0.496194i \(0.834731\pi\)
\(770\) 14.4293 + 9.88823i 0.519997 + 0.356347i
\(771\) −2.53750 7.07873i −0.0913857 0.254934i
\(772\) −1.48704 + 1.74000i