Properties

Label 483.2.bf.a.10.18
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.18
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0503654 - 0.145521i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.55347 + 1.22166i) q^{4} +(-3.87542 + 0.370058i) q^{5} +(-0.152423 + 0.0219152i) q^{6} +(2.22141 - 1.43713i) q^{7} +(0.515109 - 0.331040i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.0503654 - 0.145521i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(1.55347 + 1.22166i) q^{4} +(-3.87542 + 0.370058i) q^{5} +(-0.152423 + 0.0219152i) q^{6} +(2.22141 - 1.43713i) q^{7} +(0.515109 - 0.331040i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.141336 + 0.582594i) q^{10} +(3.50372 - 1.21265i) q^{11} +(0.374015 - 1.94057i) q^{12} +(-1.12996 - 3.84828i) q^{13} +(-0.0972508 - 0.395644i) q^{14} +(2.10474 + 3.27504i) q^{15} +(0.909625 + 3.74952i) q^{16} +(-0.758418 - 0.303625i) q^{17} +(0.0893234 + 0.125437i) q^{18} +(5.11541 - 2.04790i) q^{19} +(-6.47242 - 4.15957i) q^{20} +(-2.29528 - 1.31594i) q^{21} -0.570942i q^{22} +(3.94696 - 2.72424i) q^{23} +(-0.530277 - 0.306156i) q^{24} +(9.97229 - 1.92200i) q^{25} +(-0.616918 - 0.0293874i) q^{26} +(0.989821 + 0.142315i) q^{27} +(5.20657 + 0.481273i) q^{28} +(-0.161705 - 1.12468i) q^{29} +(0.582594 - 0.141336i) q^{30} +(7.28204 - 0.346886i) q^{31} +(1.81053 + 0.172884i) q^{32} +(-2.68334 - 2.55856i) q^{33} +(-0.0823820 + 0.0950739i) q^{34} +(-8.07707 + 6.39153i) q^{35} +(-1.89623 + 0.556784i) q^{36} +(-7.73994 - 5.51159i) q^{37} +(-0.0403736 - 0.847545i) q^{38} +(-2.90271 + 2.76773i) q^{39} +(-1.87376 + 1.47354i) q^{40} +(-2.88222 - 1.31627i) q^{41} +(-0.307100 + 0.267735i) q^{42} +(-5.19518 + 8.08386i) q^{43} +(6.92436 + 2.39654i) q^{44} +(1.94652 - 3.37148i) q^{45} +(-0.197644 - 0.711575i) q^{46} +(-1.73198 + 0.999959i) q^{47} +(2.91590 - 2.52664i) q^{48} +(2.86932 - 6.38491i) q^{49} +(0.222566 - 1.54798i) q^{50} +(0.0776548 + 0.813238i) q^{51} +(2.94594 - 7.35861i) q^{52} +(-3.24920 - 3.40767i) q^{53} +(0.0705626 - 0.136872i) q^{54} +(-13.1296 + 5.99611i) q^{55} +(0.668520 - 1.47565i) q^{56} +(-4.16427 - 3.60836i) q^{57} +(-0.171809 - 0.0331136i) q^{58} +(11.3691 + 2.75810i) q^{59} +(-0.731340 + 7.65894i) q^{60} +(-2.78393 - 1.43522i) q^{61} +(0.316284 - 1.07716i) q^{62} +(-0.117893 + 2.64312i) q^{63} +(-3.08923 + 6.76447i) q^{64} +(5.80315 + 14.4956i) q^{65} +(-0.507474 + 0.261621i) q^{66} +(-0.171156 - 0.888044i) q^{67} +(-0.807251 - 1.39820i) q^{68} +(-4.23000 - 2.25988i) q^{69} +(0.523299 + 1.49730i) q^{70} +(2.64028 + 3.04704i) q^{71} +(-0.0291349 + 0.611618i) q^{72} +(-10.3116 + 13.1123i) q^{73} +(-1.19188 + 0.848733i) q^{74} +(-6.27791 - 7.98301i) q^{75} +(10.4485 + 3.06795i) q^{76} +(6.04047 - 7.72909i) q^{77} +(0.256568 + 0.561805i) q^{78} +(5.20625 - 5.46016i) q^{79} +(-4.91272 - 14.1944i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-0.336709 + 0.353130i) q^{82} +(-2.52294 - 5.52446i) q^{83} +(-1.95801 - 4.84831i) q^{84} +(3.05155 + 0.896015i) q^{85} +(0.914716 + 1.16316i) q^{86} +(-0.925559 + 0.659088i) q^{87} +(1.40336 - 1.78452i) q^{88} +(-0.802991 + 16.8569i) q^{89} +(-0.392585 - 0.453067i) q^{90} +(-8.04058 - 6.92472i) q^{91} +(9.45957 + 0.589835i) q^{92} +(-3.64515 - 6.31358i) q^{93} +(0.0582835 + 0.302403i) q^{94} +(-19.0665 + 9.82948i) q^{95} +(-0.675966 - 1.68848i) q^{96} +(0.426327 - 0.933526i) q^{97} +(-0.784626 - 0.739126i) q^{98} +(-1.04456 + 3.55745i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0503654 0.145521i 0.0356137 0.102899i −0.925792 0.378032i \(-0.876601\pi\)
0.961406 + 0.275133i \(0.0887220\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) 1.55347 + 1.22166i 0.776733 + 0.610830i
\(5\) −3.87542 + 0.370058i −1.73314 + 0.165495i −0.913352 0.407172i \(-0.866515\pi\)
−0.819788 + 0.572666i \(0.805909\pi\)
\(6\) −0.152423 + 0.0219152i −0.0622266 + 0.00894683i
\(7\) 2.22141 1.43713i 0.839614 0.543184i
\(8\) 0.515109 0.331040i 0.182119 0.117040i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.141336 + 0.582594i −0.0446943 + 0.184233i
\(11\) 3.50372 1.21265i 1.05641 0.365628i 0.257000 0.966411i \(-0.417266\pi\)
0.799412 + 0.600784i \(0.205145\pi\)
\(12\) 0.374015 1.94057i 0.107969 0.560195i
\(13\) −1.12996 3.84828i −0.313394 1.06732i −0.954088 0.299526i \(-0.903172\pi\)
0.640694 0.767796i \(-0.278647\pi\)
\(14\) −0.0972508 0.395644i −0.0259914 0.105740i
\(15\) 2.10474 + 3.27504i 0.543442 + 0.845612i
\(16\) 0.909625 + 3.74952i 0.227406 + 0.937381i
\(17\) −0.758418 0.303625i −0.183943 0.0736398i 0.277862 0.960621i \(-0.410374\pi\)
−0.461806 + 0.886981i \(0.652798\pi\)
\(18\) 0.0893234 + 0.125437i 0.0210537 + 0.0295658i
\(19\) 5.11541 2.04790i 1.17356 0.469821i 0.298768 0.954326i \(-0.403424\pi\)
0.874789 + 0.484505i \(0.161000\pi\)
\(20\) −6.47242 4.15957i −1.44728 0.930108i
\(21\) −2.29528 1.31594i −0.500871 0.287161i
\(22\) 0.570942i 0.121725i
\(23\) 3.94696 2.72424i 0.822999 0.568043i
\(24\) −0.530277 0.306156i −0.108242 0.0624938i
\(25\) 9.97229 1.92200i 1.99446 0.384400i
\(26\) −0.616918 0.0293874i −0.120988 0.00576335i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 5.20657 + 0.481273i 0.983949 + 0.0909521i
\(29\) −0.161705 1.12468i −0.0300278 0.208848i 0.969284 0.245945i \(-0.0790982\pi\)
−0.999312 + 0.0370966i \(0.988189\pi\)
\(30\) 0.582594 0.141336i 0.106367 0.0258043i
\(31\) 7.28204 0.346886i 1.30789 0.0623026i 0.617979 0.786194i \(-0.287952\pi\)
0.689914 + 0.723892i \(0.257649\pi\)
\(32\) 1.81053 + 0.172884i 0.320059 + 0.0305619i
\(33\) −2.68334 2.55856i −0.467110 0.445389i
\(34\) −0.0823820 + 0.0950739i −0.0141284 + 0.0163050i
\(35\) −8.07707 + 6.39153i −1.36527 + 1.08037i
\(36\) −1.89623 + 0.556784i −0.316039 + 0.0927974i
\(37\) −7.73994 5.51159i −1.27244 0.906099i −0.273987 0.961733i \(-0.588343\pi\)
−0.998451 + 0.0556338i \(0.982282\pi\)
\(38\) −0.0403736 0.847545i −0.00654946 0.137490i
\(39\) −2.90271 + 2.76773i −0.464806 + 0.443192i
\(40\) −1.87376 + 1.47354i −0.296267 + 0.232987i
\(41\) −2.88222 1.31627i −0.450127 0.205566i 0.177435 0.984132i \(-0.443220\pi\)
−0.627562 + 0.778566i \(0.715947\pi\)
\(42\) −0.307100 + 0.267735i −0.0473865 + 0.0413123i
\(43\) −5.19518 + 8.08386i −0.792257 + 1.23278i 0.176386 + 0.984321i \(0.443559\pi\)
−0.968643 + 0.248455i \(0.920077\pi\)
\(44\) 6.92436 + 2.39654i 1.04389 + 0.361293i
\(45\) 1.94652 3.37148i 0.290171 0.502590i
\(46\) −0.197644 0.711575i −0.0291410 0.104916i
\(47\) −1.73198 + 0.999959i −0.252635 + 0.145859i −0.620970 0.783834i \(-0.713261\pi\)
0.368335 + 0.929693i \(0.379928\pi\)
\(48\) 2.91590 2.52664i 0.420873 0.364689i
\(49\) 2.86932 6.38491i 0.409903 0.912129i
\(50\) 0.222566 1.54798i 0.0314756 0.218918i
\(51\) 0.0776548 + 0.813238i 0.0108738 + 0.113876i
\(52\) 2.94594 7.35861i 0.408529 1.02045i
\(53\) −3.24920 3.40767i −0.446312 0.468079i 0.461692 0.887040i \(-0.347243\pi\)
−0.908004 + 0.418962i \(0.862394\pi\)
\(54\) 0.0705626 0.136872i 0.00960236 0.0186260i
\(55\) −13.1296 + 5.99611i −1.77040 + 0.808515i
\(56\) 0.668520 1.47565i 0.0893347 0.197193i
\(57\) −4.16427 3.60836i −0.551571 0.477939i
\(58\) −0.171809 0.0331136i −0.0225597 0.00434802i
\(59\) 11.3691 + 2.75810i 1.48013 + 0.359075i 0.892865 0.450324i \(-0.148691\pi\)
0.587260 + 0.809398i \(0.300207\pi\)
\(60\) −0.731340 + 7.65894i −0.0944156 + 0.988765i
\(61\) −2.78393 1.43522i −0.356446 0.183760i 0.270698 0.962664i \(-0.412746\pi\)
−0.627143 + 0.778904i \(0.715776\pi\)
\(62\) 0.316284 1.07716i 0.0401681 0.136800i
\(63\) −0.117893 + 2.64312i −0.0148531 + 0.333002i
\(64\) −3.08923 + 6.76447i −0.386154 + 0.845559i
\(65\) 5.80315 + 14.4956i 0.719792 + 1.79795i
\(66\) −0.507474 + 0.261621i −0.0624657 + 0.0322033i
\(67\) −0.171156 0.888044i −0.0209101 0.108492i 0.969974 0.243208i \(-0.0781998\pi\)
−0.990884 + 0.134716i \(0.956988\pi\)
\(68\) −0.807251 1.39820i −0.0978936 0.169557i
\(69\) −4.23000 2.25988i −0.509232 0.272058i
\(70\) 0.523299 + 1.49730i 0.0625462 + 0.178961i
\(71\) 2.64028 + 3.04704i 0.313343 + 0.361617i 0.890474 0.455035i \(-0.150373\pi\)
−0.577131 + 0.816652i \(0.695828\pi\)
\(72\) −0.0291349 + 0.611618i −0.00343359 + 0.0720798i
\(73\) −10.3116 + 13.1123i −1.20689 + 1.53468i −0.432946 + 0.901420i \(0.642526\pi\)
−0.773939 + 0.633260i \(0.781716\pi\)
\(74\) −1.19188 + 0.848733i −0.138553 + 0.0986633i
\(75\) −6.27791 7.98301i −0.724910 0.921799i
\(76\) 10.4485 + 3.06795i 1.19852 + 0.351917i
\(77\) 6.04047 7.72909i 0.688375 0.880812i
\(78\) 0.256568 + 0.561805i 0.0290506 + 0.0636119i
\(79\) 5.20625 5.46016i 0.585749 0.614316i −0.362446 0.932005i \(-0.618058\pi\)
0.948195 + 0.317689i \(0.102907\pi\)
\(80\) −4.91272 14.1944i −0.549259 1.58698i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −0.336709 + 0.353130i −0.0371833 + 0.0389967i
\(83\) −2.52294 5.52446i −0.276928 0.606389i 0.719151 0.694854i \(-0.244531\pi\)
−0.996079 + 0.0884654i \(0.971804\pi\)
\(84\) −1.95801 4.84831i −0.213637 0.528994i
\(85\) 3.05155 + 0.896015i 0.330987 + 0.0971865i
\(86\) 0.914716 + 1.16316i 0.0986364 + 0.125426i
\(87\) −0.925559 + 0.659088i −0.0992304 + 0.0706616i
\(88\) 1.40336 1.78452i 0.149599 0.190231i
\(89\) −0.802991 + 16.8569i −0.0851169 + 1.78682i 0.404154 + 0.914691i \(0.367566\pi\)
−0.489271 + 0.872132i \(0.662737\pi\)
\(90\) −0.392585 0.453067i −0.0413820 0.0477574i
\(91\) −8.04058 6.92472i −0.842882 0.725908i
\(92\) 9.45957 + 0.589835i 0.986228 + 0.0614946i
\(93\) −3.64515 6.31358i −0.377984 0.654688i
\(94\) 0.0582835 + 0.302403i 0.00601148 + 0.0311905i
\(95\) −19.0665 + 9.82948i −1.95618 + 1.00848i
\(96\) −0.675966 1.68848i −0.0689905 0.172330i
\(97\) 0.426327 0.933526i 0.0432869 0.0947852i −0.886753 0.462243i \(-0.847045\pi\)
0.930040 + 0.367458i \(0.119772\pi\)
\(98\) −0.784626 0.739126i −0.0792592 0.0746630i
\(99\) −1.04456 + 3.55745i −0.104982 + 0.357538i
\(100\) 17.8396 + 9.19698i 1.78396 + 0.919698i
\(101\) −0.880624 + 9.22231i −0.0876253 + 0.917654i 0.839614 + 0.543184i \(0.182781\pi\)
−0.927239 + 0.374470i \(0.877825\pi\)
\(102\) 0.122255 + 0.0296586i 0.0121050 + 0.00293664i
\(103\) 4.74091 + 0.913736i 0.467136 + 0.0900331i 0.417387 0.908729i \(-0.362946\pi\)
0.0497486 + 0.998762i \(0.484158\pi\)
\(104\) −1.85599 1.60822i −0.181995 0.157699i
\(105\) 9.38215 + 4.25042i 0.915604 + 0.414798i
\(106\) −0.659536 + 0.301200i −0.0640598 + 0.0292551i
\(107\) 8.72692 16.9279i 0.843663 1.63648i 0.0746813 0.997207i \(-0.476206\pi\)
0.768982 0.639271i \(-0.220764\pi\)
\(108\) 1.36379 + 1.43031i 0.131231 + 0.137631i
\(109\) −1.92338 + 4.80438i −0.184227 + 0.460176i −0.991517 0.129979i \(-0.958509\pi\)
0.807290 + 0.590155i \(0.200933\pi\)
\(110\) 0.211281 + 2.21264i 0.0201449 + 0.210967i
\(111\) −1.35225 + 9.40509i −0.128350 + 0.892692i
\(112\) 7.40920 + 7.02198i 0.700104 + 0.663515i
\(113\) −6.59092 + 5.71107i −0.620022 + 0.537252i −0.907240 0.420613i \(-0.861815\pi\)
0.287218 + 0.957865i \(0.407269\pi\)
\(114\) −0.734828 + 0.424253i −0.0688230 + 0.0397350i
\(115\) −14.2880 + 12.0182i −1.33236 + 1.12070i
\(116\) 1.12277 1.94470i 0.104247 0.180561i
\(117\) 3.79016 + 1.31179i 0.350400 + 0.121275i
\(118\) 0.973971 1.51553i 0.0896613 0.139516i
\(119\) −2.12111 + 0.415470i −0.194441 + 0.0380861i
\(120\) 2.16834 + 0.990248i 0.197942 + 0.0903969i
\(121\) 2.15896 1.69783i 0.196269 0.154348i
\(122\) −0.349068 + 0.332836i −0.0316032 + 0.0301336i
\(123\) 0.150766 + 3.16497i 0.0135941 + 0.285375i
\(124\) 11.7362 + 8.35730i 1.05394 + 0.750507i
\(125\) −19.2588 + 5.65489i −1.72256 + 0.505789i
\(126\) 0.378693 + 0.150278i 0.0337367 + 0.0133878i
\(127\) −9.13865 + 10.5466i −0.810924 + 0.935856i −0.998927 0.0463124i \(-0.985253\pi\)
0.188003 + 0.982168i \(0.439798\pi\)
\(128\) 3.46139 + 3.30042i 0.305946 + 0.291719i
\(129\) 9.56579 + 0.913422i 0.842221 + 0.0804223i
\(130\) 2.40169 0.114407i 0.210642 0.0100341i
\(131\) −10.6167 + 2.57559i −0.927589 + 0.225031i −0.670972 0.741483i \(-0.734123\pi\)
−0.256617 + 0.966513i \(0.582608\pi\)
\(132\) −1.04279 7.25278i −0.0907634 0.631273i
\(133\) 8.42032 11.9007i 0.730135 1.03193i
\(134\) −0.137850 0.0198198i −0.0119084 0.00171217i
\(135\) −3.88864 0.185239i −0.334681 0.0159428i
\(136\) −0.491180 + 0.0946672i −0.0421184 + 0.00811765i
\(137\) −1.75366 1.01248i −0.149826 0.0865019i 0.423213 0.906030i \(-0.360902\pi\)
−0.573039 + 0.819528i \(0.694236\pi\)
\(138\) −0.541907 + 0.501736i −0.0461302 + 0.0427106i
\(139\) 10.4324i 0.884864i 0.896802 + 0.442432i \(0.145884\pi\)
−0.896802 + 0.442432i \(0.854116\pi\)
\(140\) −20.3557 + 0.0615946i −1.72037 + 0.00520569i
\(141\) 1.68244 + 1.08124i 0.141687 + 0.0910566i
\(142\) 0.576388 0.230751i 0.0483694 0.0193642i
\(143\) −8.62568 12.1131i −0.721316 1.01295i
\(144\) −3.58191 1.43398i −0.298492 0.119498i
\(145\) 1.04287 + 4.29877i 0.0866057 + 0.356994i
\(146\) 1.38877 + 2.16097i 0.114936 + 0.178843i
\(147\) −6.98993 + 0.375382i −0.576520 + 0.0309610i
\(148\) −5.29046 18.0176i −0.434873 1.48104i
\(149\) 1.50562 7.81189i 0.123345 0.639975i −0.866655 0.498908i \(-0.833735\pi\)
0.990000 0.141067i \(-0.0450533\pi\)
\(150\) −1.47789 + 0.511502i −0.120669 + 0.0417640i
\(151\) 3.27999 13.5203i 0.266922 1.10027i −0.667645 0.744480i \(-0.732698\pi\)
0.934567 0.355788i \(-0.115787\pi\)
\(152\) 1.95706 2.74830i 0.158738 0.222917i
\(153\) 0.687251 0.441670i 0.0555610 0.0357069i
\(154\) −0.820518 1.26830i −0.0661192 0.102202i
\(155\) −28.0926 + 4.03910i −2.25645 + 0.324429i
\(156\) −7.89050 + 0.753451i −0.631745 + 0.0603244i
\(157\) −0.670009 0.526901i −0.0534726 0.0420513i 0.591065 0.806624i \(-0.298708\pi\)
−0.644538 + 0.764573i \(0.722950\pi\)
\(158\) −0.532355 1.03262i −0.0423519 0.0821512i
\(159\) −1.53998 + 4.44949i −0.122129 + 0.352867i
\(160\) −7.08053 −0.559765
\(161\) 4.85274 11.7239i 0.382450 0.923976i
\(162\) −0.153991 −0.0120987
\(163\) −5.65749 + 16.3462i −0.443129 + 1.28034i 0.473569 + 0.880757i \(0.342965\pi\)
−0.916698 + 0.399580i \(0.869156\pi\)
\(164\) −2.86940 5.56587i −0.224063 0.434621i
\(165\) 11.3459 + 8.92252i 0.883277 + 0.694617i
\(166\) −0.930996 + 0.0888994i −0.0722593 + 0.00689993i
\(167\) 23.8239 3.42536i 1.84355 0.265062i 0.869917 0.493197i \(-0.164172\pi\)
0.973629 + 0.228135i \(0.0732629\pi\)
\(168\) −1.61795 + 0.0819799i −0.124827 + 0.00632489i
\(169\) −2.59619 + 1.66847i −0.199707 + 0.128344i
\(170\) 0.284082 0.398937i 0.0217881 0.0305971i
\(171\) −1.29906 + 5.35479i −0.0993415 + 0.409491i
\(172\) −17.9463 + 6.21126i −1.36839 + 0.473604i
\(173\) −0.0231641 + 0.120187i −0.00176113 + 0.00913763i −0.982799 0.184680i \(-0.940875\pi\)
0.981038 + 0.193818i \(0.0620871\pi\)
\(174\) 0.0492952 + 0.167884i 0.00373706 + 0.0127272i
\(175\) 19.3904 18.6010i 1.46577 1.40610i
\(176\) 7.73393 + 12.0342i 0.582967 + 0.907115i
\(177\) −2.75810 11.3691i −0.207312 0.854551i
\(178\) 2.41259 + 0.965855i 0.180831 + 0.0723939i
\(179\) 0.669075 + 0.939585i 0.0500090 + 0.0702279i 0.838823 0.544404i \(-0.183244\pi\)
−0.788814 + 0.614632i \(0.789305\pi\)
\(180\) 7.14266 2.85949i 0.532382 0.213134i
\(181\) −15.3247 9.84858i −1.13907 0.732039i −0.171640 0.985160i \(-0.554907\pi\)
−0.967435 + 0.253121i \(0.918543\pi\)
\(182\) −1.41266 + 0.821310i −0.104713 + 0.0608796i
\(183\) 3.13211i 0.231532i
\(184\) 1.13128 2.70988i 0.0833994 0.199775i
\(185\) 32.0351 + 18.4955i 2.35527 + 1.35982i
\(186\) −1.10235 + 0.212461i −0.0808283 + 0.0155784i
\(187\) −3.02548 0.144121i −0.221245 0.0105392i
\(188\) −3.91218 0.562487i −0.285325 0.0410236i
\(189\) 2.40332 1.10636i 0.174816 0.0804760i
\(190\) 0.470105 + 3.26965i 0.0341050 + 0.237206i
\(191\) −9.10882 + 2.20978i −0.659091 + 0.159894i −0.551336 0.834284i \(-0.685882\pi\)
−0.107756 + 0.994177i \(0.534366\pi\)
\(192\) 7.42807 0.353843i 0.536075 0.0255364i
\(193\) 8.28310 + 0.790940i 0.596230 + 0.0569331i 0.388809 0.921319i \(-0.372887\pi\)
0.207422 + 0.978252i \(0.433493\pi\)
\(194\) −0.114376 0.109057i −0.00821170 0.00782984i
\(195\) 10.2250 11.8003i 0.732229 0.845037i
\(196\) 12.2576 6.41341i 0.875541 0.458100i
\(197\) 5.36304 1.57473i 0.382101 0.112195i −0.0850408 0.996377i \(-0.527102\pi\)
0.467141 + 0.884183i \(0.345284\pi\)
\(198\) 0.465076 + 0.331179i 0.0330515 + 0.0235359i
\(199\) −0.886646 18.6130i −0.0628527 1.31944i −0.781430 0.623993i \(-0.785509\pi\)
0.718578 0.695447i \(-0.244794\pi\)
\(200\) 4.50056 4.29127i 0.318237 0.303439i
\(201\) −0.710896 + 0.559055i −0.0501428 + 0.0394327i
\(202\) 1.29769 + 0.592635i 0.0913051 + 0.0416977i
\(203\) −1.97553 2.26599i −0.138655 0.159041i
\(204\) −0.872866 + 1.35821i −0.0611128 + 0.0950934i
\(205\) 11.6569 + 4.03449i 0.814154 + 0.281781i
\(206\) 0.371746 0.643883i 0.0259008 0.0448615i
\(207\) −0.0703658 + 4.79532i −0.00489076 + 0.333297i
\(208\) 13.4014 7.73730i 0.929220 0.536485i
\(209\) 15.4396 13.3785i 1.06798 0.925409i
\(210\) 1.09106 1.15123i 0.0752905 0.0794423i
\(211\) 0.565984 3.93651i 0.0389640 0.271000i −0.961021 0.276475i \(-0.910834\pi\)
0.999985 + 0.00547487i \(0.00174271\pi\)
\(212\) −0.884520 9.26311i −0.0607491 0.636193i
\(213\) 1.49847 3.74301i 0.102674 0.256467i
\(214\) −2.02383 2.12253i −0.138346 0.145093i
\(215\) 17.1420 33.2508i 1.16907 2.26769i
\(216\) 0.556978 0.254363i 0.0378976 0.0173072i
\(217\) 15.6779 11.2358i 1.06428 0.762736i
\(218\) 0.602268 + 0.521868i 0.0407907 + 0.0353454i
\(219\) 16.3797 + 3.15694i 1.10684 + 0.213326i
\(220\) −27.7217 6.72520i −1.86899 0.453413i
\(221\) −0.311454 + 3.26169i −0.0209507 + 0.219405i
\(222\) 1.30054 + 0.670472i 0.0872862 + 0.0449992i
\(223\) −2.94029 + 10.0137i −0.196897 + 0.670568i 0.800558 + 0.599256i \(0.204537\pi\)
−0.997454 + 0.0713120i \(0.977281\pi\)
\(224\) 4.27038 2.21791i 0.285327 0.148191i
\(225\) −4.21888 + 9.23806i −0.281259 + 0.615870i
\(226\) 0.499128 + 1.24676i 0.0332015 + 0.0829333i
\(227\) −5.55036 + 2.86141i −0.368390 + 0.189918i −0.632474 0.774581i \(-0.717961\pi\)
0.264084 + 0.964500i \(0.414930\pi\)
\(228\) −2.06086 10.6928i −0.136484 0.708146i
\(229\) 0.591621 + 1.02472i 0.0390954 + 0.0677152i 0.884911 0.465760i \(-0.154219\pi\)
−0.845816 + 0.533475i \(0.820886\pi\)
\(230\) 1.02928 + 2.68451i 0.0678686 + 0.177011i
\(231\) −9.63779 1.82730i −0.634120 0.120228i
\(232\) −0.455611 0.525803i −0.0299123 0.0345206i
\(233\) −0.374314 + 7.85782i −0.0245221 + 0.514783i 0.952874 + 0.303366i \(0.0981106\pi\)
−0.977396 + 0.211416i \(0.932192\pi\)
\(234\) 0.381786 0.485481i 0.0249581 0.0317369i
\(235\) 6.34210 4.51619i 0.413713 0.294604i
\(236\) 14.2920 + 18.1737i 0.930329 + 1.18301i
\(237\) −7.23883 2.12551i −0.470212 0.138067i
\(238\) −0.0463706 + 0.329591i −0.00300576 + 0.0213642i
\(239\) −0.570663 1.24958i −0.0369132 0.0808285i 0.890277 0.455419i \(-0.150511\pi\)
−0.927190 + 0.374591i \(0.877783\pi\)
\(240\) −10.3653 + 10.8708i −0.669078 + 0.701709i
\(241\) −0.189292 0.546924i −0.0121934 0.0352305i 0.938740 0.344626i \(-0.111994\pi\)
−0.950933 + 0.309396i \(0.899873\pi\)
\(242\) −0.138333 0.399687i −0.00889239 0.0256929i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −2.57140 5.63057i −0.164617 0.360460i
\(245\) −8.75703 + 25.8060i −0.559466 + 1.64868i
\(246\) 0.468164 + 0.137465i 0.0298490 + 0.00876447i
\(247\) −13.6611 17.3715i −0.869236 1.10532i
\(248\) 3.63621 2.58933i 0.230900 0.164423i
\(249\) −3.75426 + 4.77393i −0.237917 + 0.302536i
\(250\) −0.147070 + 3.08738i −0.00930151 + 0.195263i
\(251\) −19.8420 22.8989i −1.25241 1.44536i −0.847314 0.531092i \(-0.821782\pi\)
−0.405101 0.914272i \(-0.632764\pi\)
\(252\) −3.41214 + 3.96198i −0.214945 + 0.249581i
\(253\) 10.5255 14.3313i 0.661734 0.900998i
\(254\) 1.07448 + 1.86105i 0.0674188 + 0.116773i
\(255\) −0.601890 3.12290i −0.0376918 0.195564i
\(256\) −12.5650 + 6.47772i −0.785314 + 0.404857i
\(257\) 5.77114 + 14.4156i 0.359994 + 0.899221i 0.992227 + 0.124443i \(0.0397144\pi\)
−0.632233 + 0.774778i \(0.717861\pi\)
\(258\) 0.614707 1.34602i 0.0382700 0.0837996i
\(259\) −25.1144 1.12019i −1.56054 0.0696054i
\(260\) −8.69365 + 29.6078i −0.539157 + 1.83620i
\(261\) 1.00994 + 0.520658i 0.0625135 + 0.0322279i
\(262\) −0.159913 + 1.67468i −0.00987945 + 0.103462i
\(263\) 11.6346 + 2.82252i 0.717419 + 0.174044i 0.577820 0.816164i \(-0.303904\pi\)
0.139599 + 0.990208i \(0.455419\pi\)
\(264\) −2.22920 0.429644i −0.137198 0.0264427i
\(265\) 13.8531 + 12.0037i 0.850986 + 0.737384i
\(266\) −1.30772 1.82472i −0.0801814 0.111881i
\(267\) 15.3509 7.01053i 0.939461 0.429037i
\(268\) 0.819001 1.58864i 0.0500285 0.0970417i
\(269\) 12.1052 + 12.6956i 0.738067 + 0.774062i 0.980587 0.196084i \(-0.0628226\pi\)
−0.242520 + 0.970146i \(0.577974\pi\)
\(270\) −0.222809 + 0.556550i −0.0135597 + 0.0338706i
\(271\) 2.26777 + 23.7492i 0.137757 + 1.44266i 0.754916 + 0.655822i \(0.227678\pi\)
−0.617159 + 0.786839i \(0.711716\pi\)
\(272\) 0.448573 3.11989i 0.0271987 0.189171i
\(273\) −2.47053 + 10.3198i −0.149523 + 0.624585i
\(274\) −0.235661 + 0.204202i −0.0142368 + 0.0123363i
\(275\) 32.6094 18.8271i 1.96642 1.13531i
\(276\) −3.81036 8.67828i −0.229357 0.522371i
\(277\) 4.57844 7.93009i 0.275092 0.476473i −0.695066 0.718946i \(-0.744625\pi\)
0.970158 + 0.242472i \(0.0779584\pi\)
\(278\) 1.51814 + 0.525432i 0.0910517 + 0.0315133i
\(279\) −3.94143 + 6.13299i −0.235967 + 0.367172i
\(280\) −2.04472 + 5.96617i −0.122195 + 0.356547i
\(281\) 11.2318 + 5.12941i 0.670035 + 0.305995i 0.721232 0.692694i \(-0.243576\pi\)
−0.0511965 + 0.998689i \(0.516303\pi\)
\(282\) 0.242080 0.190374i 0.0144156 0.0113366i
\(283\) 5.26359 5.01882i 0.312888 0.298338i −0.517320 0.855792i \(-0.673070\pi\)
0.830208 + 0.557454i \(0.188222\pi\)
\(284\) 0.379134 + 7.95900i 0.0224974 + 0.472280i
\(285\) 17.4736 + 12.4429i 1.03505 + 0.737052i
\(286\) −2.19715 + 0.645141i −0.129920 + 0.0381480i
\(287\) −8.29423 + 1.21816i −0.489593 + 0.0719056i
\(288\) −1.19104 + 1.37453i −0.0701825 + 0.0809949i
\(289\) −11.8205 11.2708i −0.695322 0.662988i
\(290\) 0.678088 + 0.0647495i 0.0398187 + 0.00380222i
\(291\) −1.02511 + 0.0488318i −0.0600927 + 0.00286257i
\(292\) −32.0376 + 7.77223i −1.87486 + 0.454835i
\(293\) −1.68306 11.7059i −0.0983252 0.683867i −0.978048 0.208380i \(-0.933181\pi\)
0.879723 0.475487i \(-0.157728\pi\)
\(294\) −0.297425 + 1.03609i −0.0173462 + 0.0604260i
\(295\) −45.0805 6.48160i −2.62469 0.377373i
\(296\) −5.81147 0.276835i −0.337785 0.0160907i
\(297\) 3.64064 0.701675i 0.211251 0.0407153i
\(298\) −1.06097 0.612549i −0.0614601 0.0354840i
\(299\) −14.9435 12.1108i −0.864208 0.700384i
\(300\) 20.0708i 1.15879i
\(301\) 0.0769298 + 25.4237i 0.00443416 + 1.46540i
\(302\) −1.80230 1.15827i −0.103710 0.0666507i
\(303\) 8.60064 3.44318i 0.494094 0.197805i
\(304\) 12.3318 + 17.3175i 0.707275 + 0.993229i
\(305\) 11.3200 + 4.53185i 0.648182 + 0.259493i
\(306\) −0.0296586 0.122255i −0.00169547 0.00698883i
\(307\) 11.4389 + 17.7993i 0.652854 + 1.01586i 0.997034 + 0.0769571i \(0.0245204\pi\)
−0.344180 + 0.938904i \(0.611843\pi\)
\(308\) 18.8260 4.62750i 1.07271 0.263676i
\(309\) −1.36025 4.63259i −0.0773820 0.263539i
\(310\) −0.827119 + 4.29150i −0.0469772 + 0.243741i
\(311\) 16.0861 5.56745i 0.912158 0.315701i 0.169624 0.985509i \(-0.445745\pi\)
0.742535 + 0.669808i \(0.233624\pi\)
\(312\) −0.578983 + 2.38660i −0.0327785 + 0.135115i
\(313\) −5.44430 + 7.64545i −0.307730 + 0.432146i −0.939261 0.343205i \(-0.888488\pi\)
0.631531 + 0.775351i \(0.282427\pi\)
\(314\) −0.110421 + 0.0709631i −0.00623140 + 0.00400468i
\(315\) −0.521225 10.2868i −0.0293677 0.579598i
\(316\) 14.7582 2.12191i 0.830213 0.119367i
\(317\) −21.3319 + 2.03695i −1.19812 + 0.114406i −0.674976 0.737839i \(-0.735846\pi\)
−0.523142 + 0.852246i \(0.675240\pi\)
\(318\) 0.569934 + 0.448201i 0.0319603 + 0.0251339i
\(319\) −1.93041 3.74448i −0.108082 0.209651i
\(320\) 9.46882 27.3584i 0.529323 1.52938i
\(321\) −19.0450 −1.06299
\(322\) −1.46167 1.29666i −0.0814559 0.0722600i
\(323\) −4.50142 −0.250465
\(324\) 0.646380 1.86759i 0.0359100 0.103755i
\(325\) −18.6647 36.2044i −1.03533 2.00826i
\(326\) 2.09379 + 1.64657i 0.115964 + 0.0911952i
\(327\) 5.15165 0.491923i 0.284887 0.0272034i
\(328\) −1.92039 + 0.276111i −0.106036 + 0.0152457i
\(329\) −2.41036 + 4.71040i −0.132888 + 0.259693i
\(330\) 1.86986 1.20168i 0.102932 0.0661506i
\(331\) 2.89793 4.06957i 0.159285 0.223684i −0.727219 0.686405i \(-0.759188\pi\)
0.886504 + 0.462721i \(0.153127\pi\)
\(332\) 2.82971 11.6642i 0.155301 0.640158i
\(333\) 8.97921 3.10774i 0.492058 0.170303i
\(334\) 0.701437 3.63940i 0.0383809 0.199139i
\(335\) 0.991930 + 3.37820i 0.0541949 + 0.184571i
\(336\) 2.84629 9.80322i 0.155278 0.534809i
\(337\) 0.680731 + 1.05924i 0.0370818 + 0.0577004i 0.859300 0.511473i \(-0.170900\pi\)
−0.822218 + 0.569173i \(0.807263\pi\)
\(338\) 0.112040 + 0.461835i 0.00609417 + 0.0251205i
\(339\) 8.09633 + 3.24128i 0.439732 + 0.176042i
\(340\) 3.64585 + 5.11988i 0.197724 + 0.277664i
\(341\) 25.0936 10.0460i 1.35889 0.544019i
\(342\) 0.713809 + 0.458737i 0.0385984 + 0.0248057i
\(343\) −2.80201 18.3071i −0.151294 0.988489i
\(344\) 5.88388i 0.317238i
\(345\) 17.2293 + 7.19265i 0.927595 + 0.387239i
\(346\) 0.0163231 + 0.00942412i 0.000877533 + 0.000506644i
\(347\) 25.5243 4.91941i 1.37022 0.264088i 0.549534 0.835472i \(-0.314805\pi\)
0.820683 + 0.571384i \(0.193593\pi\)
\(348\) −2.24301 0.106848i −0.120238 0.00572763i
\(349\) −21.3367 3.06776i −1.14213 0.164213i −0.454824 0.890581i \(-0.650298\pi\)
−0.687306 + 0.726368i \(0.741207\pi\)
\(350\) −1.73024 3.75856i −0.0924853 0.200904i
\(351\) −0.570789 3.96992i −0.0304665 0.211899i
\(352\) 6.55323 1.58980i 0.349288 0.0847365i
\(353\) −3.61730 + 0.172313i −0.192530 + 0.00917131i −0.143625 0.989632i \(-0.545876\pi\)
−0.0489044 + 0.998803i \(0.515573\pi\)
\(354\) −1.79335 0.171245i −0.0953157 0.00910155i
\(355\) −11.3598 10.8315i −0.602913 0.574877i
\(356\) −21.8408 + 25.2056i −1.15756 + 1.33589i
\(357\) 1.34123 + 1.69493i 0.0709855 + 0.0897054i
\(358\) 0.170428 0.0500422i 0.00900740 0.00264481i
\(359\) 12.8549 + 9.15397i 0.678458 + 0.483128i 0.866593 0.499015i \(-0.166305\pi\)
−0.188135 + 0.982143i \(0.560244\pi\)
\(360\) −0.113424 2.38106i −0.00597795 0.125493i
\(361\) 8.22260 7.84023i 0.432768 0.412644i
\(362\) −2.20501 + 1.73404i −0.115893 + 0.0911392i
\(363\) −2.49838 1.14097i −0.131131 0.0598856i
\(364\) −4.03113 20.5802i −0.211289 1.07869i
\(365\) 35.1096 54.6316i 1.83772 2.85955i
\(366\) 0.455789 + 0.157750i 0.0238245 + 0.00824573i
\(367\) 2.35225 4.07421i 0.122786 0.212672i −0.798079 0.602553i \(-0.794150\pi\)
0.920865 + 0.389881i \(0.127484\pi\)
\(368\) 13.8049 + 12.3212i 0.719628 + 0.642287i
\(369\) 2.74405 1.58428i 0.142850 0.0824742i
\(370\) 4.30495 3.73026i 0.223804 0.193927i
\(371\) −12.1151 2.90029i −0.628983 0.150576i
\(372\) 2.05043 14.2611i 0.106310 0.739402i
\(373\) 2.22958 + 23.3492i 0.115443 + 1.20898i 0.848644 + 0.528965i \(0.177420\pi\)
−0.733200 + 0.680013i \(0.761974\pi\)
\(374\) −0.173352 + 0.433013i −0.00896383 + 0.0223906i
\(375\) 13.8512 + 14.5267i 0.715270 + 0.750154i
\(376\) −0.561131 + 1.08844i −0.0289381 + 0.0561322i
\(377\) −4.14537 + 1.89313i −0.213498 + 0.0975011i
\(378\) −0.0399549 0.405457i −0.00205506 0.0208545i
\(379\) 5.52282 + 4.78555i 0.283688 + 0.245817i 0.785067 0.619410i \(-0.212628\pi\)
−0.501379 + 0.865228i \(0.667174\pi\)
\(380\) −41.6275 8.02304i −2.13544 0.411573i
\(381\) 13.5617 + 3.29004i 0.694788 + 0.168554i
\(382\) −0.137200 + 1.43682i −0.00701977 + 0.0735143i
\(383\) −18.9256 9.75681i −0.967051 0.498550i −0.0990343 0.995084i \(-0.531575\pi\)
−0.868017 + 0.496534i \(0.834606\pi\)
\(384\) 1.34744 4.58894i 0.0687610 0.234179i
\(385\) −20.5491 + 32.1888i −1.04728 + 1.64049i
\(386\) 0.532280 1.16553i 0.0270924 0.0593240i
\(387\) −3.57142 8.92096i −0.181545 0.453478i
\(388\) 1.80274 0.929375i 0.0915200 0.0471818i
\(389\) 5.66573 + 29.3966i 0.287264 + 1.49047i 0.783016 + 0.622002i \(0.213680\pi\)
−0.495752 + 0.868464i \(0.665107\pi\)
\(390\) −1.20221 2.08229i −0.0608762 0.105441i
\(391\) −3.82060 + 0.867715i −0.193216 + 0.0438822i
\(392\) −0.635651 4.23878i −0.0321052 0.214091i
\(393\) 7.15415 + 8.25633i 0.360879 + 0.416477i
\(394\) 0.0409549 0.859749i 0.00206328 0.0433135i
\(395\) −18.1558 + 23.0870i −0.913519 + 1.16163i
\(396\) −5.96869 + 4.25028i −0.299938 + 0.213585i
\(397\) −13.3814 17.0158i −0.671591 0.853998i 0.324168 0.946000i \(-0.394916\pi\)
−0.995759 + 0.0920020i \(0.970673\pi\)
\(398\) −2.75324 0.808425i −0.138008 0.0405227i
\(399\) −14.4362 2.03105i −0.722715 0.101680i
\(400\) 16.2776 + 35.6430i 0.813881 + 1.78215i
\(401\) −18.9775 + 19.9030i −0.947689 + 0.993908i −0.999989 0.00472353i \(-0.998496\pi\)
0.0522996 + 0.998631i \(0.483345\pi\)
\(402\) 0.0455499 + 0.131608i 0.00227182 + 0.00656399i
\(403\) −9.56332 27.6314i −0.476383 1.37642i
\(404\) −12.6345 + 13.2507i −0.628592 + 0.659248i
\(405\) 1.61723 + 3.54124i 0.0803608 + 0.175966i
\(406\) −0.429248 + 0.173354i −0.0213032 + 0.00860340i
\(407\) −33.8022 9.92523i −1.67551 0.491975i
\(408\) 0.309215 + 0.393199i 0.0153084 + 0.0194663i
\(409\) 10.5588 7.51890i 0.522100 0.371786i −0.288413 0.957506i \(-0.593128\pi\)
0.810513 + 0.585720i \(0.199188\pi\)
\(410\) 1.17421 1.49313i 0.0579901 0.0737404i
\(411\) −0.0963514 + 2.02266i −0.00475266 + 0.0997707i
\(412\) 6.24857 + 7.21124i 0.307845 + 0.355272i
\(413\) 29.2191 10.2119i 1.43778 0.502496i
\(414\) 0.694277 + 0.251758i 0.0341218 + 0.0123732i
\(415\) 11.8218 + 20.4760i 0.580310 + 1.00513i
\(416\) −1.38051 7.16278i −0.0676852 0.351184i
\(417\) 9.27268 4.78040i 0.454085 0.234097i
\(418\) −1.16923 2.92060i −0.0571891 0.142851i
\(419\) 7.19429 15.7533i 0.351464 0.769599i −0.648501 0.761214i \(-0.724604\pi\)
0.999965 0.00838481i \(-0.00266900\pi\)
\(420\) 9.38228 + 18.0647i 0.457809 + 0.881466i
\(421\) −7.99125 + 27.2157i −0.389470 + 1.32641i 0.498651 + 0.866803i \(0.333829\pi\)
−0.888121 + 0.459609i \(0.847989\pi\)
\(422\) −0.544340 0.280627i −0.0264981 0.0136607i
\(423\) 0.190104 1.99086i 0.00924318 0.0967990i
\(424\) −2.80177 0.679702i −0.136066 0.0330092i
\(425\) −8.14673 1.57015i −0.395174 0.0761636i
\(426\) −0.469216 0.406578i −0.0227336 0.0196988i
\(427\) −8.24684 + 0.812666i −0.399092 + 0.0393277i
\(428\) 34.2371 15.6355i 1.65491 0.755772i
\(429\) −6.81401 + 13.2173i −0.328984 + 0.638139i
\(430\) −3.97534 4.16922i −0.191708 0.201058i
\(431\) −12.7698 + 31.8974i −0.615100 + 1.53645i 0.213700 + 0.976899i \(0.431449\pi\)
−0.828799 + 0.559546i \(0.810976\pi\)
\(432\) 0.366753 + 3.84081i 0.0176454 + 0.184791i
\(433\) −1.32814 + 9.23741i −0.0638263 + 0.443922i 0.932701 + 0.360651i \(0.117446\pi\)
−0.996527 + 0.0832702i \(0.973464\pi\)
\(434\) −0.845428 2.84736i −0.0405818 0.136678i
\(435\) 3.34303 2.89675i 0.160286 0.138889i
\(436\) −8.85722 + 5.11372i −0.424184 + 0.244903i
\(437\) 14.6114 22.0186i 0.698957 1.05329i
\(438\) 1.28438 2.22460i 0.0613698 0.106296i
\(439\) −12.5573 4.34613i −0.599328 0.207429i 0.0105242 0.999945i \(-0.496650\pi\)
−0.609852 + 0.792515i \(0.708771\pi\)
\(440\) −4.77824 + 7.43509i −0.227794 + 0.354454i
\(441\) 3.53662 + 6.04089i 0.168411 + 0.287661i
\(442\) 0.458959 + 0.209600i 0.0218305 + 0.00996964i
\(443\) −28.0792 + 22.0817i −1.33408 + 1.04913i −0.340009 + 0.940422i \(0.610430\pi\)
−0.994073 + 0.108712i \(0.965327\pi\)
\(444\) −13.5905 + 12.9585i −0.644976 + 0.614983i
\(445\) −3.12608 65.6245i −0.148190 3.11090i
\(446\) 1.30912 + 0.932220i 0.0619886 + 0.0441419i
\(447\) −7.63340 + 2.24137i −0.361047 + 0.106013i
\(448\) 2.85898 + 19.4663i 0.135074 + 0.919696i
\(449\) −11.3023 + 13.0436i −0.533390 + 0.615565i −0.956932 0.290311i \(-0.906241\pi\)
0.423542 + 0.905876i \(0.360787\pi\)
\(450\) 1.13185 + 1.07922i 0.0533559 + 0.0508747i
\(451\) −11.6947 1.11671i −0.550680 0.0525836i
\(452\) −17.2158 + 0.820087i −0.809761 + 0.0385737i
\(453\) −13.5203 + 3.27999i −0.635240 + 0.154107i
\(454\) 0.136850 + 0.951812i 0.00642269 + 0.0446708i
\(455\) 33.7232 + 23.8607i 1.58097 + 1.11861i
\(456\) −3.33956 0.480157i −0.156389 0.0224854i
\(457\) 24.4932 + 1.16676i 1.14575 + 0.0545786i 0.611851 0.790973i \(-0.290425\pi\)
0.533894 + 0.845551i \(0.320728\pi\)
\(458\) 0.178915 0.0344831i 0.00836017 0.00161129i
\(459\) −0.707488 0.408469i −0.0330227 0.0190657i
\(460\) −36.8781 + 1.21473i −1.71945 + 0.0566369i
\(461\) 17.7904i 0.828582i 0.910144 + 0.414291i \(0.135970\pi\)
−0.910144 + 0.414291i \(0.864030\pi\)
\(462\) −0.751323 + 1.31047i −0.0349547 + 0.0609687i
\(463\) −17.7612 11.4144i −0.825431 0.530473i 0.0583917 0.998294i \(-0.481403\pi\)
−0.883823 + 0.467821i \(0.845039\pi\)
\(464\) 4.06993 1.62935i 0.188942 0.0756409i
\(465\) 16.4629 + 23.1189i 0.763447 + 1.07211i
\(466\) 1.12463 + 0.450233i 0.0520974 + 0.0208566i
\(467\) −0.564108 2.32528i −0.0261038 0.107601i 0.957269 0.289198i \(-0.0933886\pi\)
−0.983373 + 0.181597i \(0.941873\pi\)
\(468\) 4.28533 + 6.66810i 0.198089 + 0.308233i
\(469\) −1.65644 1.72673i −0.0764874 0.0797332i
\(470\) −0.337780 1.15037i −0.0155806 0.0530627i
\(471\) −0.161312 + 0.836968i −0.00743288 + 0.0385655i
\(472\) 6.76935 2.34289i 0.311585 0.107840i
\(473\) −8.39957 + 34.6235i −0.386213 + 1.59199i
\(474\) −0.673894 + 0.946352i −0.0309530 + 0.0434674i
\(475\) 47.0763 30.2541i 2.16001 1.38815i
\(476\) −3.80263 1.94585i −0.174293 0.0891879i
\(477\) 4.66052 0.670082i 0.213391 0.0306810i
\(478\) −0.210582 + 0.0201082i −0.00963180 + 0.000919726i
\(479\) −8.15722 6.41491i −0.372713 0.293105i 0.414179 0.910195i \(-0.364069\pi\)
−0.786892 + 0.617091i \(0.788311\pi\)
\(480\) 3.24449 + 6.29342i 0.148090 + 0.287254i
\(481\) −12.4643 + 36.0134i −0.568325 + 1.64207i
\(482\) −0.0891229 −0.00405944
\(483\) −12.6443 + 1.05893i −0.575336 + 0.0481832i
\(484\) 5.42805 0.246729
\(485\) −1.30674 + 3.77557i −0.0593359 + 0.171440i
\(486\) 0.0705626 + 0.136872i 0.00320079 + 0.00620866i
\(487\) 17.6255 + 13.8608i 0.798686 + 0.628094i 0.931786 0.363009i \(-0.118250\pi\)
−0.133099 + 0.991103i \(0.542493\pi\)
\(488\) −1.90914 + 0.182301i −0.0864228 + 0.00825237i
\(489\) 17.1215 2.46171i 0.774263 0.111322i
\(490\) 3.31427 + 2.57406i 0.149724 + 0.116284i
\(491\) −28.8090 + 18.5144i −1.30013 + 0.835545i −0.993226 0.116195i \(-0.962930\pi\)
−0.306907 + 0.951740i \(0.599294\pi\)
\(492\) −3.63230 + 5.10085i −0.163757 + 0.229964i
\(493\) −0.218841 + 0.902076i −0.00985612 + 0.0406275i
\(494\) −3.21598 + 1.11306i −0.144694 + 0.0500789i
\(495\) 2.73166 14.1732i 0.122779 0.637037i
\(496\) 7.92458 + 26.9886i 0.355824 + 1.21183i
\(497\) 10.2441 + 2.97431i 0.459512 + 0.133416i
\(498\) 0.505624 + 0.786766i 0.0226576 + 0.0352558i
\(499\) 0.812699 + 3.34999i 0.0363814 + 0.149966i 0.987105 0.160073i \(-0.0511730\pi\)
−0.950724 + 0.310039i \(0.899658\pi\)
\(500\) −36.8262 14.7430i −1.64692 0.659327i
\(501\) −13.9613 19.6059i −0.623745 0.875928i
\(502\) −4.33163 + 1.73412i −0.193330 + 0.0773976i
\(503\) 23.2747 + 14.9577i 1.03777 + 0.666933i 0.944434 0.328702i \(-0.106611\pi\)
0.0933344 + 0.995635i \(0.470247\pi\)
\(504\) 0.814253 + 1.40052i 0.0362697 + 0.0623843i
\(505\) 36.0662i 1.60492i
\(506\) −1.55538 2.25349i −0.0691452 0.100180i
\(507\) 2.67264 + 1.54305i 0.118696 + 0.0685293i
\(508\) −27.0809 + 5.21941i −1.20152 + 0.231574i
\(509\) 7.62017 + 0.362994i 0.337758 + 0.0160894i 0.215776 0.976443i \(-0.430772\pi\)
0.121982 + 0.992532i \(0.461075\pi\)
\(510\) −0.484763 0.0696984i −0.0214657 0.00308630i
\(511\) −4.06227 + 43.9470i −0.179704 + 1.94410i
\(512\) 1.67110 + 11.6227i 0.0738527 + 0.513657i
\(513\) 5.35479 1.29906i 0.236420 0.0573548i
\(514\) 2.38845 0.113776i 0.105350 0.00501843i
\(515\) −18.7112 1.78670i −0.824512 0.0787313i
\(516\) 13.7442 + 13.1051i 0.605056 + 0.576920i
\(517\) −4.85577 + 5.60386i −0.213557 + 0.246458i
\(518\) −1.42791 + 3.59827i −0.0627388 + 0.158099i
\(519\) 0.117441 0.0344837i 0.00515507 0.00151367i
\(520\) 7.78787 + 5.54572i 0.341521 + 0.243196i
\(521\) 1.63863 + 34.3991i 0.0717897 + 1.50705i 0.691590 + 0.722291i \(0.256911\pi\)
−0.619800 + 0.784760i \(0.712786\pi\)
\(522\) 0.126633 0.120744i 0.00554257 0.00528483i
\(523\) −16.0404 + 12.6143i −0.701398 + 0.551585i −0.903925 0.427691i \(-0.859327\pi\)
0.202527 + 0.979277i \(0.435085\pi\)
\(524\) −19.6392 8.96894i −0.857944 0.391810i
\(525\) −25.4184 8.71137i −1.10935 0.380195i
\(526\) 0.996718 1.55092i 0.0434590 0.0676235i
\(527\) −5.62815 1.94792i −0.245166 0.0848529i
\(528\) 7.15256 12.3886i 0.311275 0.539145i
\(529\) 8.15706 21.5049i 0.354655 0.934997i
\(530\) 2.44452 1.41134i 0.106183 0.0613048i
\(531\) −8.84139 + 7.66110i −0.383683 + 0.332464i
\(532\) 27.6193 8.20063i 1.19745 0.355542i
\(533\) −1.80858 + 12.5789i −0.0783382 + 0.544854i
\(534\) −0.247026 2.58698i −0.0106899 0.111949i
\(535\) −27.5562 + 68.8320i −1.19136 + 2.97587i
\(536\) −0.382143 0.400780i −0.0165060 0.0173110i
\(537\) 0.528548 1.02524i 0.0228085 0.0442424i
\(538\) 2.45716 1.12215i 0.105936 0.0483792i
\(539\) 2.31064 25.8504i 0.0995262 1.11346i
\(540\) −5.81457 5.03835i −0.250219 0.216816i
\(541\) 19.9026 + 3.83592i 0.855681 + 0.164919i 0.598183 0.801360i \(-0.295890\pi\)
0.257498 + 0.966279i \(0.417102\pi\)
\(542\) 3.57023 + 0.866129i 0.153355 + 0.0372034i
\(543\) −1.73159 + 18.1340i −0.0743095 + 0.778204i
\(544\) −1.32064 0.680840i −0.0566222 0.0291908i
\(545\) 5.67602 19.3307i 0.243134 0.828038i
\(546\) 1.37733 + 0.879278i 0.0589442 + 0.0376296i
\(547\) 10.5714 23.1482i 0.452003 0.989748i −0.537235 0.843432i \(-0.680531\pi\)
0.989238 0.146315i \(-0.0467414\pi\)
\(548\) −1.48735 3.71523i −0.0635367 0.158707i
\(549\) 2.78393 1.43522i 0.118815 0.0612535i
\(550\) −1.09735 5.69360i −0.0467912 0.242776i
\(551\) −3.13042 5.42205i −0.133361 0.230987i
\(552\) −2.92703 + 0.236215i −0.124582 + 0.0100540i
\(553\) 3.71826 19.6113i 0.158116 0.833958i
\(554\) −0.923403 1.06566i −0.0392316 0.0452757i
\(555\) 1.76010 36.9491i 0.0747121 1.56840i
\(556\) −12.7448 + 16.2064i −0.540501 + 0.687303i
\(557\) 21.7794 15.5090i 0.922822 0.657138i −0.0166147 0.999862i \(-0.505289\pi\)
0.939436 + 0.342724i \(0.111349\pi\)
\(558\) 0.693969 + 0.882453i 0.0293780 + 0.0373572i
\(559\) 36.9793 + 10.8581i 1.56406 + 0.459249i
\(560\) −31.3123 24.4713i −1.32319 1.03410i
\(561\) 1.25825 + 2.75519i 0.0531235 + 0.116324i
\(562\) 1.31214 1.37613i 0.0553491 0.0580484i
\(563\) −1.27021 3.67002i −0.0535328 0.154673i 0.915065 0.403307i \(-0.132139\pi\)
−0.968597 + 0.248634i \(0.920018\pi\)
\(564\) 1.29271 + 3.73503i 0.0544328 + 0.157273i
\(565\) 23.4292 24.5718i 0.985672 1.03374i
\(566\) −0.465243 1.01874i −0.0195556 0.0428208i
\(567\) −2.08464 1.62919i −0.0875467 0.0684197i
\(568\) 2.36872 + 0.695520i 0.0993895 + 0.0291834i
\(569\) −10.9703 13.9498i −0.459898 0.584808i 0.499694 0.866202i \(-0.333446\pi\)
−0.959592 + 0.281394i \(0.909203\pi\)
\(570\) 2.69077 1.91609i 0.112704 0.0802561i
\(571\) −5.95076 + 7.56700i −0.249031 + 0.316669i −0.894457 0.447154i \(-0.852438\pi\)
0.645426 + 0.763823i \(0.276680\pi\)
\(572\) 1.39835 29.3549i 0.0584678 1.22739i
\(573\) 6.13803 + 7.08367i 0.256420 + 0.295924i
\(574\) −0.240475 + 1.26834i −0.0100372 + 0.0529395i
\(575\) 34.1243 34.7529i 1.42308 1.44930i
\(576\) −3.71825 6.44019i −0.154927 0.268341i
\(577\) −1.52096 7.89146i −0.0633182 0.328526i 0.936433 0.350847i \(-0.114106\pi\)
−0.999751 + 0.0223214i \(0.992894\pi\)
\(578\) −2.23548 + 1.15247i −0.0929839 + 0.0479365i
\(579\) −3.09252 7.72474i −0.128521 0.321029i
\(580\) −3.63157 + 7.95203i −0.150793 + 0.330190i
\(581\) −13.5438 8.64631i −0.561893 0.358709i
\(582\) −0.0445238 + 0.151634i −0.00184557 + 0.00628544i
\(583\) −15.5166 7.99937i −0.642632 0.331300i
\(584\) −0.970911 + 10.1678i −0.0401766 + 0.420748i
\(585\) −15.1739 3.68115i −0.627363 0.152197i
\(586\) −1.78823 0.344653i −0.0738710 0.0142375i
\(587\) 23.8420 + 20.6592i 0.984065 + 0.852698i 0.989093 0.147290i \(-0.0470550\pi\)
−0.00502793 + 0.999987i \(0.501600\pi\)
\(588\) −11.3172 7.95617i −0.466714 0.328107i
\(589\) 36.5402 16.6874i 1.50561 0.687591i
\(590\) −3.21371 + 6.23373i −0.132306 + 0.256639i
\(591\) −3.85716 4.04528i −0.158662 0.166400i
\(592\) 13.6254 34.0346i 0.560000 1.39881i
\(593\) 1.58041 + 16.5508i 0.0648997 + 0.679661i 0.968121 + 0.250485i \(0.0805900\pi\)
−0.903221 + 0.429176i \(0.858804\pi\)
\(594\) 0.0812535 0.565131i 0.00333387 0.0231876i
\(595\) 8.06642 2.39505i 0.330691 0.0981876i
\(596\) 11.8824 10.2962i 0.486722 0.421747i
\(597\) −16.1376 + 9.31705i −0.660468 + 0.381321i
\(598\) −2.51501 + 1.56464i −0.102847 + 0.0639829i
\(599\) 22.3275 38.6724i 0.912277 1.58011i 0.101437 0.994842i \(-0.467656\pi\)
0.810840 0.585268i \(-0.199011\pi\)
\(600\) −5.87651 2.03388i −0.239907 0.0830328i
\(601\) 5.71001 8.88495i 0.232916 0.362425i −0.705046 0.709161i \(-0.749074\pi\)
0.937963 + 0.346737i \(0.112710\pi\)
\(602\) 3.70357 + 1.26928i 0.150946 + 0.0517320i
\(603\) 0.822660 + 0.375696i 0.0335013 + 0.0152995i
\(604\) 21.6126 16.9963i 0.879403 0.691570i
\(605\) −7.73860 + 7.37874i −0.314619 + 0.299988i
\(606\) −0.0678808 1.42499i −0.00275747 0.0578864i
\(607\) 11.9251 + 8.49185i 0.484026 + 0.344674i 0.795878 0.605457i \(-0.207010\pi\)
−0.311852 + 0.950131i \(0.600949\pi\)
\(608\) 9.61564 2.82341i 0.389966 0.114504i
\(609\) −1.10885 + 2.79425i −0.0449329 + 0.113229i
\(610\) 1.22962 1.41905i 0.0497858 0.0574558i
\(611\) 5.80519 + 5.53524i 0.234853 + 0.223932i
\(612\) 1.60719 + 0.153468i 0.0649669 + 0.00620358i
\(613\) −39.6611 + 1.88929i −1.60189 + 0.0763077i −0.829378 0.558687i \(-0.811305\pi\)
−0.772516 + 0.634995i \(0.781002\pi\)
\(614\) 3.16631 0.768138i 0.127782 0.0309995i
\(615\) −1.75550 12.2098i −0.0707887 0.492346i
\(616\) 0.552855 5.98097i 0.0222752 0.240980i
\(617\) −12.2411 1.76001i −0.492809 0.0708553i −0.108570 0.994089i \(-0.534627\pi\)
−0.384239 + 0.923234i \(0.625536\pi\)
\(618\) −0.742650 0.0353768i −0.0298738 0.00142306i
\(619\) 7.00139 1.34941i 0.281410 0.0542372i −0.0465934 0.998914i \(-0.514837\pi\)
0.328003 + 0.944677i \(0.393624\pi\)
\(620\) −48.5753 28.0450i −1.95083 1.12631i
\(621\) 4.29449 2.13480i 0.172332 0.0856665i
\(622\) 2.62128i 0.105104i
\(623\) 22.4417 + 38.6000i 0.899108 + 1.54648i
\(624\) −13.0181 8.36620i −0.521140 0.334916i
\(625\) 25.4016 10.1692i 1.01606 0.406770i
\(626\) 0.838372 + 1.17733i 0.0335081 + 0.0470555i
\(627\) −18.9661 7.59288i −0.757433 0.303231i
\(628\) −0.397143 1.63705i −0.0158477 0.0653253i
\(629\) 4.19666 + 6.53013i 0.167332 + 0.260373i
\(630\) −1.52321 0.442252i −0.0606860 0.0176197i
\(631\) 8.19377 + 27.9054i 0.326189 + 1.11090i 0.945465 + 0.325724i \(0.105608\pi\)
−0.619276 + 0.785173i \(0.712574\pi\)
\(632\) 0.874253 4.53606i 0.0347759 0.180435i
\(633\) −3.75826 + 1.30075i −0.149377 + 0.0517000i
\(634\) −0.777970 + 3.20684i −0.0308971 + 0.127360i
\(635\) 31.5133 44.2542i 1.25057 1.75617i
\(636\) −7.82807 + 5.03080i −0.310403 + 0.199484i
\(637\) −27.8131 3.82727i −1.10200 0.151642i
\(638\) −0.642128 + 0.0923241i −0.0254221 + 0.00365514i
\(639\) −4.01356 + 0.383248i −0.158774 + 0.0151611i
\(640\) −14.6357 11.5096i −0.578526 0.454958i
\(641\) 5.80831 + 11.2665i 0.229414 + 0.445002i 0.975243 0.221136i \(-0.0709765\pi\)
−0.745829 + 0.666138i \(0.767946\pi\)
\(642\) −0.959209 + 2.77145i −0.0378570 + 0.109381i
\(643\) 21.5344 0.849235 0.424618 0.905373i \(-0.360409\pi\)
0.424618 + 0.905373i \(0.360409\pi\)
\(644\) 21.8612 12.2844i 0.861454 0.484072i
\(645\) −37.4095 −1.47300
\(646\) −0.226716 + 0.655052i −0.00892001 + 0.0257727i
\(647\) 18.5723 + 36.0253i 0.730154 + 1.41630i 0.902246 + 0.431221i \(0.141917\pi\)
−0.172092 + 0.985081i \(0.555053\pi\)
\(648\) −0.481309 0.378506i −0.0189076 0.0148691i
\(649\) 43.1786 4.12306i 1.69491 0.161844i
\(650\) −6.20857 + 0.892658i −0.243520 + 0.0350129i
\(651\) −17.1708 8.78650i −0.672977 0.344370i
\(652\) −28.7583 + 18.4818i −1.12626 + 0.723804i
\(653\) 14.0406 19.7172i 0.549450 0.771595i −0.442697 0.896671i \(-0.645978\pi\)
0.992147 + 0.125077i \(0.0399177\pi\)
\(654\) 0.187880 0.774451i 0.00734668 0.0302834i
\(655\) 40.1912 13.9103i 1.57040 0.543521i
\(656\) 2.31363 12.0043i 0.0903321 0.468688i
\(657\) −4.69964 16.0055i −0.183350 0.624434i
\(658\) 0.564064 + 0.588001i 0.0219895 + 0.0229227i
\(659\) 6.88251 + 10.7094i 0.268104 + 0.417179i 0.949036 0.315169i \(-0.102061\pi\)
−0.680931 + 0.732347i \(0.738425\pi\)
\(660\) 6.72520 + 27.7217i 0.261778 + 1.07906i
\(661\) −22.3717 8.95627i −0.870157 0.348358i −0.106758 0.994285i \(-0.534047\pi\)
−0.763399 + 0.645927i \(0.776471\pi\)
\(662\) −0.446255 0.626677i −0.0173442 0.0243565i
\(663\) 3.04182 1.21776i 0.118135 0.0472940i
\(664\) −3.12841 2.01051i −0.121406 0.0780228i
\(665\) −28.2283 + 49.2364i −1.09465 + 1.90930i
\(666\) 1.46319i 0.0566975i
\(667\) −3.70214 3.99856i −0.143348 0.154825i
\(668\) 41.1942 + 23.7835i 1.59385 + 0.920211i
\(669\) 10.2479 1.97511i 0.396205 0.0763623i
\(670\) 0.541560 + 0.0257977i 0.0209223 + 0.000996651i
\(671\) −11.4945 1.65266i −0.443741 0.0638004i
\(672\) −3.92816 2.77936i −0.151532 0.107216i
\(673\) 1.12119 + 7.79807i 0.0432188 + 0.300594i 0.999954 + 0.00963212i \(0.00306605\pi\)
−0.956735 + 0.290961i \(0.906025\pi\)
\(674\) 0.188427 0.0457119i 0.00725794 0.00176076i
\(675\) 10.1443 0.483233i 0.390455 0.0185997i
\(676\) −6.07140 0.579749i −0.233515 0.0222980i
\(677\) 13.3758 + 12.7538i 0.514076 + 0.490170i 0.902129 0.431467i \(-0.142004\pi\)
−0.388053 + 0.921637i \(0.626852\pi\)
\(678\) 0.879451 1.01494i 0.0337751 0.0389786i
\(679\) −0.394551 2.68643i −0.0151415 0.103096i
\(680\) 1.86850 0.548640i 0.0716536 0.0210394i
\(681\) 5.08665 + 3.62218i 0.194921 + 0.138802i
\(682\) −0.198052 4.15762i −0.00758380 0.159204i
\(683\) 5.02792 4.79411i 0.192388 0.183442i −0.587762 0.809034i \(-0.699991\pi\)
0.780150 + 0.625592i \(0.215143\pi\)
\(684\) −8.55978 + 6.73148i −0.327291 + 0.257385i
\(685\) 7.17086 + 3.27482i 0.273985 + 0.125125i
\(686\) −2.80519 0.514292i −0.107103 0.0196357i
\(687\) 0.639708 0.995406i 0.0244064 0.0379771i
\(688\) −35.0363 12.1262i −1.33575 0.462306i
\(689\) −9.44220 + 16.3544i −0.359719 + 0.623052i
\(690\) 1.91445 2.14497i 0.0728818 0.0816577i
\(691\) 0.756154 0.436566i 0.0287655 0.0166077i −0.485548 0.874210i \(-0.661380\pi\)
0.514314 + 0.857602i \(0.328047\pi\)
\(692\) −0.182812 + 0.158407i −0.00694946 + 0.00602174i
\(693\) 2.79212 + 9.40373i 0.106064 + 0.357218i
\(694\) 0.569664 3.96210i 0.0216241 0.150399i
\(695\) −3.86058 40.4299i −0.146440 1.53359i
\(696\) −0.258579 + 0.645900i −0.00980142 + 0.0244828i
\(697\) 1.78628 + 1.87339i 0.0676601 + 0.0709598i
\(698\) −1.52106 + 2.95044i −0.0575729 + 0.111676i
\(699\) 7.15583 3.26796i 0.270658 0.123605i
\(700\) 52.8464 5.20763i 1.99741 0.196830i
\(701\) −24.3780 21.1237i −0.920745 0.797830i 0.0589631 0.998260i \(-0.481221\pi\)
−0.979708 + 0.200430i \(0.935766\pi\)
\(702\) −0.606457 0.116885i −0.0228892 0.00441154i
\(703\) −50.8802 12.3434i −1.91898 0.465540i
\(704\) −2.62087 + 27.4470i −0.0987777 + 1.03445i
\(705\) −6.92027 3.56765i −0.260632 0.134365i
\(706\) −0.157112 + 0.535073i −0.00591298 + 0.0201378i
\(707\) 11.2974 + 21.7521i 0.424883 + 0.818071i
\(708\) 9.60450 21.0309i 0.360959 0.790390i
\(709\) −11.1112 27.7545i −0.417291 1.04234i −0.976921 0.213600i \(-0.931481\pi\)
0.559631 0.828742i \(-0.310943\pi\)
\(710\) −2.14836 + 1.10755i −0.0806263 + 0.0415658i
\(711\) 1.42779 + 7.40809i 0.0535464 + 0.277825i
\(712\) 5.16667 + 8.94894i 0.193629 + 0.335376i
\(713\) 27.7970 21.2072i 1.04100 0.794214i
\(714\) 0.314201 0.109812i 0.0117587 0.00410960i
\(715\) 37.9107 + 43.7512i 1.41778 + 1.63620i
\(716\) −0.108467 + 2.27700i −0.00405359 + 0.0850953i
\(717\) −0.849177 + 1.07982i −0.0317131 + 0.0403265i
\(718\) 1.97954 1.40963i 0.0738759 0.0526068i
\(719\) −25.0491 31.8525i −0.934173 1.18790i −0.981969 0.189040i \(-0.939462\pi\)
0.0477963 0.998857i \(-0.484780\pi\)
\(720\) 14.4120 + 4.23176i 0.537105 + 0.157708i
\(721\) 11.8447 4.78352i 0.441118 0.178148i
\(722\) −0.726787 1.59144i −0.0270482 0.0592273i
\(723\) −0.399387 + 0.418865i −0.0148534 + 0.0155778i
\(724\) −11.7748 34.0210i −0.437606 1.26438i
\(725\) −3.77420 10.9048i −0.140170 0.404996i
\(726\) −0.291868 + 0.306103i −0.0108322 + 0.0113605i
\(727\) 3.39813 + 7.44086i 0.126030 + 0.275966i 0.962120 0.272625i \(-0.0878917\pi\)
−0.836091 + 0.548591i \(0.815164\pi\)
\(728\) −6.43414 0.905227i −0.238465 0.0335499i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −6.18175 7.86074i −0.228797 0.290939i
\(731\) 6.39458 4.55356i 0.236512 0.168419i
\(732\) −3.82637 + 4.86563i −0.141427 + 0.179839i
\(733\) −0.880335 + 18.4805i −0.0325159 + 0.682593i 0.922493 + 0.386015i \(0.126149\pi\)
−0.955009 + 0.296578i \(0.904154\pi\)
\(734\) −0.474413 0.547501i −0.0175109 0.0202086i
\(735\) 26.9500 4.04144i 0.994065 0.149071i
\(736\) 7.61706 4.24994i 0.280769 0.156655i
\(737\) −1.67657 2.90391i −0.0617573 0.106967i
\(738\) −0.0923410 0.479111i −0.00339912 0.0176363i
\(739\) −30.1535 + 15.5452i −1.10922 + 0.571840i −0.912688 0.408658i \(-0.865997\pi\)
−0.196528 + 0.980498i \(0.562967\pi\)
\(740\) 27.1703 + 67.8681i 0.998800 + 2.49488i
\(741\) −9.18054 + 20.1026i −0.337255 + 0.738487i
\(742\) −1.03224 + 1.61693i −0.0378946 + 0.0593592i
\(743\) 4.05914 13.8242i 0.148916 0.507160i −0.850920 0.525295i \(-0.823955\pi\)
0.999836 + 0.0181356i \(0.00577304\pi\)
\(744\) −3.96770 2.04549i −0.145463 0.0749914i
\(745\) −2.94405 + 30.8315i −0.107862 + 1.12958i
\(746\) 3.51011 + 0.851543i 0.128514 + 0.0311772i
\(747\) 5.96354 + 1.14938i 0.218195 + 0.0420536i
\(748\) −4.52391 3.91999i −0.165411 0.143329i
\(749\) −4.94147 50.1454i −0.180557 1.83227i
\(750\) 2.81156 1.28400i 0.102664 0.0468849i
\(751\) −5.53963 + 10.7454i −0.202144 + 0.392105i −0.968016 0.250888i \(-0.919277\pi\)
0.765872 + 0.642993i \(0.222308\pi\)
\(752\) −5.32482 5.58451i −0.194176 0.203646i
\(753\) −11.2612 + 28.1291i −0.410381 + 1.02508i
\(754\) 0.0667071 + 0.698589i 0.00242933 + 0.0254411i
\(755\) −7.70805 + 53.6107i −0.280525 + 1.95109i
\(756\) 5.08508 + 1.21735i 0.184943 + 0.0442745i
\(757\) 33.0046 28.5986i 1.19957 1.03943i 0.201369 0.979516i \(-0.435461\pi\)
0.998203 0.0599194i \(-0.0190844\pi\)
\(758\) 0.974559 0.562662i 0.0353976 0.0204368i
\(759\) −17.5612 2.78849i −0.637431 0.101216i
\(760\) −6.56739 + 11.3750i −0.238224 + 0.412616i
\(761\) −43.4455 15.0366i −1.57490 0.545078i −0.606630 0.794985i \(-0.707479\pi\)
−0.968270 + 0.249907i \(0.919600\pi\)
\(762\) 1.16181 1.80782i 0.0420881 0.0654903i
\(763\) 2.63189 + 13.4366i 0.0952809 + 0.486439i
\(764\) −16.8498 7.69506i −0.609606 0.278398i
\(765\) −2.49994 + 1.96598i −0.0903856 + 0.0710800i
\(766\) −2.37302 + 2.26267i −0.0857406 + 0.0817535i
\(767\) −2.23259 46.8679i −0.0806143 1.69230i
\(768\) 11.5153 + 8.19997i 0.415521 + 0.295891i
\(769\) −10.2853 + 3.02004i −0.370898 + 0.108906i −0.461869 0.886948i \(-0.652821\pi\)
0.0909711 + 0.995854i \(0.471003\pi\)
\(770\) 3.64919 + 4.61154i 0.131508 + 0.166188i
\(771\) 10.1686 11.7352i 0.366214 0.422633i
\(772\) 11.9013 + 11.3478i 0.428335 + 0.408417i