Properties

Label 637.2.bl.a.53.25
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.25
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.94436 + 1.32564i) q^{2} +(-2.30854 - 2.14202i) q^{3} +(1.29252 + 3.29328i) q^{4} +(-1.78143 + 0.549500i) q^{5} +(-1.64909 - 7.22514i) q^{6} +(2.62811 + 0.305015i) q^{7} +(-0.805291 + 3.52821i) q^{8} +(0.516953 + 6.89826i) q^{9} +O(q^{10})\) \(q+(1.94436 + 1.32564i) q^{2} +(-2.30854 - 2.14202i) q^{3} +(1.29252 + 3.29328i) q^{4} +(-1.78143 + 0.549500i) q^{5} +(-1.64909 - 7.22514i) q^{6} +(2.62811 + 0.305015i) q^{7} +(-0.805291 + 3.52821i) q^{8} +(0.516953 + 6.89826i) q^{9} +(-4.19218 - 1.29312i) q^{10} +(-0.184776 + 2.46566i) q^{11} +(4.07043 - 10.3713i) q^{12} +(0.900969 - 0.433884i) q^{13} +(4.70564 + 4.07699i) q^{14} +(5.28956 + 2.54732i) q^{15} +(-1.05607 + 0.979887i) q^{16} +(4.21231 - 0.634904i) q^{17} +(-8.13947 + 14.0980i) q^{18} +(2.60675 + 4.51502i) q^{19} +(-4.11220 - 5.15653i) q^{20} +(-5.41376 - 6.33359i) q^{21} +(-3.62785 + 4.54918i) q^{22} +(3.70338 + 0.558195i) q^{23} +(9.41654 - 6.42009i) q^{24} +(-1.25964 + 0.858805i) q^{25} +(2.32698 + 0.350736i) q^{26} +(7.69225 - 9.64578i) q^{27} +(2.39238 + 9.04935i) q^{28} +(1.85092 + 2.32098i) q^{29} +(6.90796 + 11.9649i) q^{30} +(-3.74596 + 6.48820i) q^{31} +(3.80470 - 0.573467i) q^{32} +(5.70805 - 5.29630i) q^{33} +(9.03189 + 4.34953i) q^{34} +(-4.84941 + 0.900782i) q^{35} +(-22.0498 + 10.6186i) q^{36} +(0.0609573 - 0.155317i) q^{37} +(-0.916842 + 12.2344i) q^{38} +(-3.00931 - 0.928250i) q^{39} +(-0.504178 - 6.72779i) q^{40} +(0.0138669 - 0.0607547i) q^{41} +(-2.13022 - 19.4915i) q^{42} +(-0.519190 - 2.27472i) q^{43} +(-8.35896 + 2.57840i) q^{44} +(-4.71151 - 12.0047i) q^{45} +(6.46072 + 5.99468i) q^{46} +(0.464254 + 0.316523i) q^{47} +4.53691 q^{48} +(6.81393 + 1.60323i) q^{49} -3.58765 q^{50} +(-11.0843 - 7.55714i) q^{51} +(2.59342 + 2.40634i) q^{52} +(-4.85972 - 12.3824i) q^{53} +(27.7433 - 8.55768i) q^{54} +(-1.02572 - 4.49395i) q^{55} +(-3.19255 + 9.02691i) q^{56} +(3.65345 - 16.0068i) q^{57} +(0.522065 + 6.96648i) q^{58} +(-9.60455 - 2.96261i) q^{59} +(-1.55219 + 20.7125i) q^{60} +(-0.224312 + 0.571538i) q^{61} +(-15.8845 + 7.64957i) q^{62} +(-0.745463 + 18.2871i) q^{63} +(10.7539 + 5.17879i) q^{64} +(-1.36660 + 1.26802i) q^{65} +(18.1195 - 2.73107i) q^{66} +(4.63679 - 8.03115i) q^{67} +(7.53541 + 13.0517i) q^{68} +(-7.35375 - 9.22131i) q^{69} +(-10.6231 - 4.67713i) q^{70} +(-4.40834 + 5.52788i) q^{71} +(-24.7548 - 3.73119i) q^{72} +(-7.26284 + 4.95172i) q^{73} +(0.324417 - 0.221184i) q^{74} +(4.74750 + 0.715570i) q^{75} +(-11.5000 + 14.4205i) q^{76} +(-1.23768 + 6.42368i) q^{77} +(-4.62065 - 5.79411i) q^{78} +(2.59850 + 4.50074i) q^{79} +(1.34287 - 2.32591i) q^{80} +(-17.8983 + 2.69773i) q^{81} +(0.107501 - 0.0997463i) q^{82} +(-15.6092 - 7.51699i) q^{83} +(13.8609 - 26.0154i) q^{84} +(-7.15508 + 3.44570i) q^{85} +(2.00597 - 5.11113i) q^{86} +(0.698647 - 9.32280i) q^{87} +(-8.55058 - 2.63751i) q^{88} +(-1.26038 - 16.8186i) q^{89} +(6.75310 - 29.5873i) q^{90} +(2.50019 - 0.865485i) q^{91} +(2.94839 + 12.9178i) q^{92} +(22.5455 - 6.95438i) q^{93} +(0.483079 + 1.23087i) q^{94} +(-7.12475 - 6.61080i) q^{95} +(-10.0117 - 6.82586i) q^{96} +16.7262 q^{97} +(11.1234 + 12.1501i) q^{98} -17.1043 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.94436 + 1.32564i 1.37487 + 0.937369i 0.999947 + 0.0103120i \(0.00328247\pi\)
0.374921 + 0.927057i \(0.377670\pi\)
\(3\) −2.30854 2.14202i −1.33284 1.23669i −0.949761 0.312977i \(-0.898674\pi\)
−0.383078 0.923716i \(-0.625136\pi\)
\(4\) 1.29252 + 3.29328i 0.646260 + 1.64664i
\(5\) −1.78143 + 0.549500i −0.796682 + 0.245744i −0.666265 0.745715i \(-0.732108\pi\)
−0.130417 + 0.991459i \(0.541632\pi\)
\(6\) −1.64909 7.22514i −0.673239 2.94965i
\(7\) 2.62811 + 0.305015i 0.993332 + 0.115285i
\(8\) −0.805291 + 3.52821i −0.284713 + 1.24741i
\(9\) 0.516953 + 6.89826i 0.172318 + 2.29942i
\(10\) −4.19218 1.29312i −1.32568 0.408919i
\(11\) −0.184776 + 2.46566i −0.0557120 + 0.743425i 0.897479 + 0.441057i \(0.145396\pi\)
−0.953191 + 0.302368i \(0.902223\pi\)
\(12\) 4.07043 10.3713i 1.17503 2.99393i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 4.70564 + 4.07699i 1.25764 + 1.08962i
\(15\) 5.28956 + 2.54732i 1.36576 + 0.657714i
\(16\) −1.05607 + 0.979887i −0.264017 + 0.244972i
\(17\) 4.21231 0.634904i 1.02164 0.153987i 0.383203 0.923664i \(-0.374821\pi\)
0.638433 + 0.769677i \(0.279583\pi\)
\(18\) −8.13947 + 14.0980i −1.91849 + 3.32292i
\(19\) 2.60675 + 4.51502i 0.598029 + 1.03582i 0.993112 + 0.117171i \(0.0373824\pi\)
−0.395083 + 0.918645i \(0.629284\pi\)
\(20\) −4.11220 5.15653i −0.919515 1.15304i
\(21\) −5.41376 6.33359i −1.18138 1.38210i
\(22\) −3.62785 + 4.54918i −0.773461 + 0.969889i
\(23\) 3.70338 + 0.558195i 0.772208 + 0.116392i 0.523315 0.852139i \(-0.324695\pi\)
0.248893 + 0.968531i \(0.419933\pi\)
\(24\) 9.41654 6.42009i 1.92214 1.31049i
\(25\) −1.25964 + 0.858805i −0.251927 + 0.171761i
\(26\) 2.32698 + 0.350736i 0.456358 + 0.0687849i
\(27\) 7.69225 9.64578i 1.48037 1.85633i
\(28\) 2.39238 + 9.04935i 0.452118 + 1.71017i
\(29\) 1.85092 + 2.32098i 0.343708 + 0.430996i 0.923400 0.383840i \(-0.125398\pi\)
−0.579692 + 0.814836i \(0.696827\pi\)
\(30\) 6.90796 + 11.9649i 1.26122 + 2.18449i
\(31\) −3.74596 + 6.48820i −0.672795 + 1.16531i 0.304314 + 0.952572i \(0.401573\pi\)
−0.977108 + 0.212742i \(0.931760\pi\)
\(32\) 3.80470 0.573467i 0.672583 0.101376i
\(33\) 5.70805 5.29630i 0.993644 0.921967i
\(34\) 9.03189 + 4.34953i 1.54896 + 0.745938i
\(35\) −4.84941 + 0.900782i −0.819700 + 0.152260i
\(36\) −22.0498 + 10.6186i −3.67496 + 1.76977i
\(37\) 0.0609573 0.155317i 0.0100213 0.0255339i −0.925776 0.378074i \(-0.876587\pi\)
0.935797 + 0.352540i \(0.114682\pi\)
\(38\) −0.916842 + 12.2344i −0.148731 + 1.98468i
\(39\) −3.00931 0.928250i −0.481876 0.148639i
\(40\) −0.504178 6.72779i −0.0797175 1.06376i
\(41\) 0.0138669 0.0607547i 0.00216564 0.00948829i −0.973834 0.227262i \(-0.927022\pi\)
0.975999 + 0.217774i \(0.0698796\pi\)
\(42\) −2.13022 19.4915i −0.328700 3.00760i
\(43\) −0.519190 2.27472i −0.0791758 0.346892i 0.919787 0.392417i \(-0.128361\pi\)
−0.998963 + 0.0455252i \(0.985504\pi\)
\(44\) −8.35896 + 2.57840i −1.26016 + 0.388708i
\(45\) −4.71151 12.0047i −0.702351 1.78956i
\(46\) 6.46072 + 5.99468i 0.952582 + 0.883867i
\(47\) 0.464254 + 0.316523i 0.0677184 + 0.0461696i 0.596706 0.802460i \(-0.296476\pi\)
−0.528988 + 0.848630i \(0.677428\pi\)
\(48\) 4.53691 0.654847
\(49\) 6.81393 + 1.60323i 0.973419 + 0.229032i
\(50\) −3.58765 −0.507370
\(51\) −11.0843 7.55714i −1.55211 1.05821i
\(52\) 2.59342 + 2.40634i 0.359643 + 0.333700i
\(53\) −4.85972 12.3824i −0.667534 1.70085i −0.712322 0.701853i \(-0.752356\pi\)
0.0447877 0.998997i \(-0.485739\pi\)
\(54\) 27.7433 8.55768i 3.77539 1.16455i
\(55\) −1.02572 4.49395i −0.138307 0.605964i
\(56\) −3.19255 + 9.02691i −0.426623 + 1.20627i
\(57\) 3.65345 16.0068i 0.483911 2.12015i
\(58\) 0.522065 + 6.96648i 0.0685506 + 0.914744i
\(59\) −9.60455 2.96261i −1.25041 0.385699i −0.402291 0.915512i \(-0.631786\pi\)
−0.848115 + 0.529813i \(0.822262\pi\)
\(60\) −1.55219 + 20.7125i −0.200386 + 2.67397i
\(61\) −0.224312 + 0.571538i −0.0287202 + 0.0731779i −0.944514 0.328470i \(-0.893467\pi\)
0.915794 + 0.401648i \(0.131562\pi\)
\(62\) −15.8845 + 7.64957i −2.01733 + 0.971496i
\(63\) −0.745463 + 18.2871i −0.0939195 + 2.30396i
\(64\) 10.7539 + 5.17879i 1.34423 + 0.647348i
\(65\) −1.36660 + 1.26802i −0.169506 + 0.157278i
\(66\) 18.1195 2.73107i 2.23035 0.336172i
\(67\) 4.63679 8.03115i 0.566473 0.981161i −0.430437 0.902620i \(-0.641641\pi\)
0.996911 0.0785404i \(-0.0250260\pi\)
\(68\) 7.53541 + 13.0517i 0.913803 + 1.58275i
\(69\) −7.35375 9.22131i −0.885288 1.11012i
\(70\) −10.6231 4.67713i −1.26970 0.559024i
\(71\) −4.40834 + 5.52788i −0.523174 + 0.656039i −0.971280 0.237941i \(-0.923527\pi\)
0.448106 + 0.893981i \(0.352099\pi\)
\(72\) −24.7548 3.73119i −2.91738 0.439725i
\(73\) −7.26284 + 4.95172i −0.850052 + 0.579555i −0.908098 0.418759i \(-0.862465\pi\)
0.0580460 + 0.998314i \(0.481513\pi\)
\(74\) 0.324417 0.221184i 0.0377127 0.0257121i
\(75\) 4.74750 + 0.715570i 0.548194 + 0.0826269i
\(76\) −11.5000 + 14.4205i −1.31914 + 1.65415i
\(77\) −1.23768 + 6.42368i −0.141046 + 0.732046i
\(78\) −4.62065 5.79411i −0.523186 0.656054i
\(79\) 2.59850 + 4.50074i 0.292354 + 0.506372i 0.974366 0.224969i \(-0.0722280\pi\)
−0.682012 + 0.731341i \(0.738895\pi\)
\(80\) 1.34287 2.32591i 0.150137 0.260045i
\(81\) −17.8983 + 2.69773i −1.98870 + 0.299748i
\(82\) 0.107501 0.0997463i 0.0118715 0.0110151i
\(83\) −15.6092 7.51699i −1.71333 0.825097i −0.991049 0.133499i \(-0.957379\pi\)
−0.722283 0.691598i \(-0.756907\pi\)
\(84\) 13.8609 26.0154i 1.51235 2.83851i
\(85\) −7.15508 + 3.44570i −0.776077 + 0.373739i
\(86\) 2.00597 5.11113i 0.216309 0.551147i
\(87\) 0.698647 9.32280i 0.0749029 0.999509i
\(88\) −8.55058 2.63751i −0.911495 0.281159i
\(89\) −1.26038 16.8186i −0.133600 1.78277i −0.513844 0.857884i \(-0.671779\pi\)
0.380243 0.924886i \(-0.375840\pi\)
\(90\) 6.75310 29.5873i 0.711839 3.11877i
\(91\) 2.50019 0.865485i 0.262091 0.0907275i
\(92\) 2.94839 + 12.9178i 0.307391 + 1.34677i
\(93\) 22.5455 6.95438i 2.33786 0.721135i
\(94\) 0.483079 + 1.23087i 0.0498258 + 0.126954i
\(95\) −7.12475 6.61080i −0.730984 0.678254i
\(96\) −10.0117 6.82586i −1.02181 0.696661i
\(97\) 16.7262 1.69829 0.849143 0.528164i \(-0.177119\pi\)
0.849143 + 0.528164i \(0.177119\pi\)
\(98\) 11.1234 + 12.1501i 1.12363 + 1.22734i
\(99\) −17.1043 −1.71905
\(100\) −4.45639 3.03832i −0.445639 0.303832i
\(101\) 10.0770 + 9.35011i 1.00270 + 0.930371i 0.997574 0.0696163i \(-0.0221775\pi\)
0.00512717 + 0.999987i \(0.498368\pi\)
\(102\) −11.5338 29.3875i −1.14201 2.90980i
\(103\) 5.51623 1.70153i 0.543530 0.167657i −0.0108185 0.999941i \(-0.503444\pi\)
0.554348 + 0.832285i \(0.312968\pi\)
\(104\) 0.805291 + 3.52821i 0.0789653 + 0.345970i
\(105\) 13.1246 + 8.30802i 1.28083 + 0.810780i
\(106\) 6.96553 30.5180i 0.676552 2.96417i
\(107\) 0.620620 + 8.28160i 0.0599976 + 0.800612i 0.943328 + 0.331861i \(0.107677\pi\)
−0.883331 + 0.468751i \(0.844704\pi\)
\(108\) 41.7087 + 12.8654i 4.01342 + 1.23798i
\(109\) 0.695233 9.27724i 0.0665913 0.888599i −0.859460 0.511202i \(-0.829200\pi\)
0.926052 0.377397i \(-0.123181\pi\)
\(110\) 3.96301 10.0976i 0.377858 0.962766i
\(111\) −0.473414 + 0.227984i −0.0449344 + 0.0216393i
\(112\) −3.07434 + 2.25314i −0.290498 + 0.212901i
\(113\) 4.46137 + 2.14848i 0.419690 + 0.202112i 0.631796 0.775134i \(-0.282318\pi\)
−0.212106 + 0.977247i \(0.568032\pi\)
\(114\) 28.3229 26.2798i 2.65268 2.46133i
\(115\) −6.90406 + 1.04062i −0.643806 + 0.0970382i
\(116\) −5.25131 + 9.09554i −0.487572 + 0.844499i
\(117\) 3.45880 + 5.99082i 0.319766 + 0.553852i
\(118\) −14.7473 18.4925i −1.35760 1.70238i
\(119\) 11.2641 0.383779i 1.03258 0.0351810i
\(120\) −13.2471 + 16.6113i −1.20929 + 1.51640i
\(121\) 4.83179 + 0.728275i 0.439253 + 0.0662068i
\(122\) −1.19380 + 0.813916i −0.108081 + 0.0736885i
\(123\) −0.162150 + 0.110552i −0.0146205 + 0.00996812i
\(124\) −26.2092 3.95040i −2.35366 0.354757i
\(125\) 7.58377 9.50975i 0.678313 0.850578i
\(126\) −25.6915 + 34.5684i −2.28878 + 3.07960i
\(127\) −8.14271 10.2106i −0.722548 0.906047i 0.275931 0.961177i \(-0.411014\pi\)
−0.998479 + 0.0551306i \(0.982442\pi\)
\(128\) 10.1965 + 17.6608i 0.901248 + 1.56101i
\(129\) −3.67392 + 6.36341i −0.323470 + 0.560267i
\(130\) −4.33809 + 0.653862i −0.380475 + 0.0573475i
\(131\) −15.8244 + 14.6829i −1.38259 + 1.28285i −0.465002 + 0.885310i \(0.653946\pi\)
−0.917584 + 0.397543i \(0.869863\pi\)
\(132\) 24.8200 + 11.9527i 2.16030 + 1.04035i
\(133\) 5.47367 + 12.6611i 0.474627 + 1.09785i
\(134\) 19.6620 9.46871i 1.69854 0.817972i
\(135\) −8.40289 + 21.4102i −0.723206 + 1.84270i
\(136\) −1.15206 + 15.3732i −0.0987886 + 1.31824i
\(137\) 5.91244 + 1.82375i 0.505134 + 0.155813i 0.536840 0.843684i \(-0.319618\pi\)
−0.0317063 + 0.999497i \(0.510094\pi\)
\(138\) −2.07418 27.6779i −0.176566 2.35610i
\(139\) −0.318499 + 1.39544i −0.0270147 + 0.118359i −0.986637 0.162931i \(-0.947905\pi\)
0.959623 + 0.281290i \(0.0907624\pi\)
\(140\) −9.23449 14.8062i −0.780457 1.25135i
\(141\) −0.393753 1.72515i −0.0331600 0.145283i
\(142\) −15.8994 + 4.90431i −1.33425 + 0.411560i
\(143\) 0.903334 + 2.30166i 0.0755406 + 0.192474i
\(144\) −7.30546 6.77847i −0.608788 0.564873i
\(145\) −4.57268 3.11760i −0.379740 0.258903i
\(146\) −20.6858 −1.71197
\(147\) −12.2961 18.2967i −1.01417 1.50908i
\(148\) 0.590291 0.0485216
\(149\) −19.6144 13.3729i −1.60688 1.09555i −0.934863 0.355009i \(-0.884478\pi\)
−0.672012 0.740540i \(-0.734570\pi\)
\(150\) 8.28224 + 7.68479i 0.676242 + 0.627461i
\(151\) 4.44276 + 11.3200i 0.361547 + 0.921206i 0.989705 + 0.143121i \(0.0457137\pi\)
−0.628159 + 0.778085i \(0.716191\pi\)
\(152\) −18.0291 + 5.56125i −1.46236 + 0.451077i
\(153\) 6.55730 + 28.7294i 0.530127 + 2.32264i
\(154\) −10.9220 + 10.8492i −0.880117 + 0.874254i
\(155\) 3.10792 13.6167i 0.249634 1.09372i
\(156\) −0.832602 11.1103i −0.0666615 0.889536i
\(157\) 14.7758 + 4.55773i 1.17924 + 0.363746i 0.821573 0.570104i \(-0.193097\pi\)
0.357664 + 0.933850i \(0.383573\pi\)
\(158\) −0.913942 + 12.1957i −0.0727093 + 0.970239i
\(159\) −15.3043 + 38.9948i −1.21371 + 3.09249i
\(160\) −6.46271 + 3.11228i −0.510922 + 0.246047i
\(161\) 9.56263 + 2.59658i 0.753641 + 0.204639i
\(162\) −38.3769 18.4813i −3.01517 1.45203i
\(163\) −7.23267 + 6.71094i −0.566506 + 0.525641i −0.910597 0.413295i \(-0.864378\pi\)
0.344091 + 0.938936i \(0.388187\pi\)
\(164\) 0.218006 0.0328591i 0.0170234 0.00256586i
\(165\) −7.25821 + 12.5716i −0.565051 + 0.978696i
\(166\) −20.3850 35.3079i −1.58218 2.74042i
\(167\) −4.48376 5.62246i −0.346964 0.435079i 0.577475 0.816408i \(-0.304038\pi\)
−0.924439 + 0.381329i \(0.875467\pi\)
\(168\) 26.7059 14.0005i 2.06041 1.08016i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −18.4798 2.78538i −1.41733 0.213629i
\(171\) −29.7982 + 20.3161i −2.27873 + 1.55361i
\(172\) 6.82024 4.64996i 0.520039 0.354556i
\(173\) −18.2082 2.74445i −1.38435 0.208657i −0.585734 0.810503i \(-0.699194\pi\)
−0.798612 + 0.601846i \(0.794432\pi\)
\(174\) 13.7171 17.2007i 1.03989 1.30398i
\(175\) −3.57241 + 1.87283i −0.270049 + 0.141572i
\(176\) −2.22094 2.78497i −0.167409 0.209925i
\(177\) 15.8266 + 27.4124i 1.18960 + 2.06044i
\(178\) 19.8448 34.3722i 1.48743 2.57631i
\(179\) 13.8518 2.08782i 1.03533 0.156051i 0.390678 0.920527i \(-0.372241\pi\)
0.644652 + 0.764477i \(0.277002\pi\)
\(180\) 33.4453 31.0327i 2.49287 2.31304i
\(181\) 22.0617 + 10.6244i 1.63984 + 0.789703i 0.999771 + 0.0213813i \(0.00680640\pi\)
0.640064 + 0.768322i \(0.278908\pi\)
\(182\) 6.00858 + 1.63154i 0.445385 + 0.120937i
\(183\) 1.74208 0.838940i 0.128778 0.0620162i
\(184\) −4.95173 + 12.6168i −0.365046 + 0.930123i
\(185\) −0.0232450 + 0.310183i −0.00170900 + 0.0228051i
\(186\) 53.0555 + 16.3655i 3.89022 + 1.19997i
\(187\) 0.787125 + 10.5035i 0.0575603 + 0.768089i
\(188\) −0.442343 + 1.93803i −0.0322612 + 0.141345i
\(189\) 23.1582 23.0039i 1.68451 1.67329i
\(190\) −5.08951 22.2986i −0.369232 1.61771i
\(191\) −3.78025 + 1.16605i −0.273529 + 0.0843725i −0.428485 0.903549i \(-0.640953\pi\)
0.154956 + 0.987921i \(0.450476\pi\)
\(192\) −13.7327 34.9904i −0.991074 2.52521i
\(193\) −12.6073 11.6979i −0.907495 0.842032i 0.0804628 0.996758i \(-0.474360\pi\)
−0.987957 + 0.154726i \(0.950551\pi\)
\(194\) 32.5216 + 22.1729i 2.33492 + 1.59192i
\(195\) 5.87096 0.420429
\(196\) 3.52726 + 24.5124i 0.251947 + 1.75089i
\(197\) −5.61934 −0.400361 −0.200181 0.979759i \(-0.564153\pi\)
−0.200181 + 0.979759i \(0.564153\pi\)
\(198\) −33.2569 22.6742i −2.36346 1.61138i
\(199\) 3.94270 + 3.65830i 0.279491 + 0.259330i 0.807444 0.589944i \(-0.200850\pi\)
−0.527954 + 0.849273i \(0.677040\pi\)
\(200\) −2.01567 5.13585i −0.142530 0.363159i
\(201\) −27.9071 + 8.60819i −1.96841 + 0.607175i
\(202\) 7.19844 + 31.5384i 0.506481 + 2.21904i
\(203\) 4.15650 + 6.66436i 0.291729 + 0.467747i
\(204\) 10.5612 46.2714i 0.739429 3.23965i
\(205\) 0.00868178 + 0.115850i 0.000606362 + 0.00809134i
\(206\) 12.9811 + 4.00415i 0.904438 + 0.278982i
\(207\) −1.93610 + 25.8354i −0.134568 + 1.79569i
\(208\) −0.526327 + 1.34106i −0.0364942 + 0.0929857i
\(209\) −11.6142 + 5.59309i −0.803369 + 0.386882i
\(210\) 14.5054 + 33.5522i 1.00097 + 2.31532i
\(211\) −2.32817 1.12119i −0.160278 0.0771856i 0.352025 0.935991i \(-0.385493\pi\)
−0.512303 + 0.858805i \(0.671207\pi\)
\(212\) 34.4974 32.0089i 2.36929 2.19838i
\(213\) 22.0177 3.31863i 1.50863 0.227389i
\(214\) −9.77171 + 16.9251i −0.667980 + 1.15698i
\(215\) 2.17486 + 3.76697i 0.148324 + 0.256905i
\(216\) 27.8378 + 34.9076i 1.89413 + 2.37516i
\(217\) −11.8238 + 15.9091i −0.802652 + 1.07998i
\(218\) 13.6501 17.1166i 0.924499 1.15929i
\(219\) 27.3733 + 4.12586i 1.84971 + 0.278799i
\(220\) 13.4741 9.18649i 0.908424 0.619353i
\(221\) 3.51969 2.39968i 0.236760 0.161420i
\(222\) −1.22271 0.184294i −0.0820629 0.0123690i
\(223\) 8.69290 10.9006i 0.582120 0.729955i −0.400353 0.916361i \(-0.631113\pi\)
0.982473 + 0.186406i \(0.0596840\pi\)
\(224\) 10.1741 0.346642i 0.679785 0.0231610i
\(225\) −6.57543 8.24533i −0.438362 0.549689i
\(226\) 5.82638 + 10.0916i 0.387565 + 0.671282i
\(227\) 10.1717 17.6180i 0.675123 1.16935i −0.301310 0.953526i \(-0.597424\pi\)
0.976433 0.215821i \(-0.0692426\pi\)
\(228\) 57.4371 8.65725i 3.80387 0.573341i
\(229\) 4.85000 4.50015i 0.320497 0.297378i −0.503473 0.864011i \(-0.667945\pi\)
0.823970 + 0.566633i \(0.191754\pi\)
\(230\) −14.8034 7.12896i −0.976109 0.470069i
\(231\) 16.6168 12.1782i 1.09331 0.801268i
\(232\) −9.67946 + 4.66138i −0.635488 + 0.306035i
\(233\) −0.631900 + 1.61005i −0.0413971 + 0.105478i −0.950077 0.312015i \(-0.898996\pi\)
0.908680 + 0.417493i \(0.137091\pi\)
\(234\) −1.21653 + 16.2334i −0.0795268 + 1.06121i
\(235\) −1.00097 0.308757i −0.0652959 0.0201411i
\(236\) −2.65734 35.4597i −0.172978 2.30823i
\(237\) 3.64189 15.9562i 0.236566 1.03647i
\(238\) 22.4101 + 14.1859i 1.45263 + 0.919536i
\(239\) −5.66339 24.8129i −0.366334 1.60502i −0.736761 0.676153i \(-0.763646\pi\)
0.370427 0.928862i \(-0.379212\pi\)
\(240\) −8.08221 + 2.49303i −0.521704 + 0.160925i
\(241\) −5.13246 13.0773i −0.330611 0.842382i −0.995440 0.0953873i \(-0.969591\pi\)
0.664829 0.746995i \(-0.268504\pi\)
\(242\) 8.42928 + 7.82123i 0.541855 + 0.502768i
\(243\) 16.5166 + 11.2608i 1.05954 + 0.722383i
\(244\) −2.17216 −0.139059
\(245\) −13.0195 + 0.888211i −0.831788 + 0.0567457i
\(246\) −0.461829 −0.0294451
\(247\) 4.30759 + 2.93686i 0.274085 + 0.186868i
\(248\) −19.8751 18.4414i −1.26207 1.17103i
\(249\) 19.9330 + 50.7884i 1.26320 + 3.21859i
\(250\) 27.3521 8.43699i 1.72990 0.533602i
\(251\) −5.00723 21.9381i −0.316054 1.38472i −0.844409 0.535699i \(-0.820048\pi\)
0.528356 0.849023i \(-0.322809\pi\)
\(252\) −61.1881 + 21.1814i −3.85449 + 1.33430i
\(253\) −2.06062 + 9.02815i −0.129550 + 0.567595i
\(254\) −2.29670 30.6474i −0.144108 1.92299i
\(255\) 23.8986 + 7.37173i 1.49659 + 0.461636i
\(256\) −1.80235 + 24.0507i −0.112647 + 1.50317i
\(257\) −0.563467 + 1.43569i −0.0351481 + 0.0895559i −0.947370 0.320140i \(-0.896270\pi\)
0.912222 + 0.409696i \(0.134365\pi\)
\(258\) −15.5790 + 7.50245i −0.969906 + 0.467082i
\(259\) 0.207577 0.389597i 0.0128982 0.0242084i
\(260\) −5.94230 2.86166i −0.368526 0.177473i
\(261\) −15.0539 + 13.9680i −0.931814 + 0.864597i
\(262\) −50.2326 + 7.57134i −3.10338 + 0.467759i
\(263\) 8.22023 14.2379i 0.506881 0.877944i −0.493087 0.869980i \(-0.664132\pi\)
0.999968 0.00796425i \(-0.00253513\pi\)
\(264\) 14.0898 + 24.4043i 0.867168 + 1.50198i
\(265\) 15.4614 + 19.3880i 0.949785 + 1.19099i
\(266\) −6.14124 + 31.8737i −0.376544 + 1.95430i
\(267\) −33.1161 + 41.5263i −2.02667 + 2.54137i
\(268\) 32.4420 + 4.88984i 1.98171 + 0.298695i
\(269\) 8.02534 5.47159i 0.489314 0.333609i −0.293401 0.955990i \(-0.594787\pi\)
0.782714 + 0.622381i \(0.213835\pi\)
\(270\) −44.7204 + 30.4899i −2.72160 + 1.85555i
\(271\) −22.6070 3.40746i −1.37328 0.206989i −0.579390 0.815051i \(-0.696709\pi\)
−0.793889 + 0.608062i \(0.791947\pi\)
\(272\) −3.82635 + 4.79809i −0.232007 + 0.290927i
\(273\) −7.62567 3.35743i −0.461527 0.203201i
\(274\) 9.07826 + 11.3838i 0.548437 + 0.687719i
\(275\) −1.88477 3.26452i −0.113656 0.196858i
\(276\) 20.8635 36.1367i 1.25584 2.17518i
\(277\) 22.1200 3.33405i 1.32906 0.200324i 0.554162 0.832409i \(-0.313039\pi\)
0.774899 + 0.632085i \(0.217801\pi\)
\(278\) −2.46912 + 2.29101i −0.148088 + 0.137406i
\(279\) −46.6938 22.4865i −2.79548 1.34623i
\(280\) 0.727040 17.8351i 0.0434490 1.06585i
\(281\) 0.245674 0.118310i 0.0146557 0.00705780i −0.426542 0.904468i \(-0.640268\pi\)
0.441197 + 0.897410i \(0.354554\pi\)
\(282\) 1.52132 3.87627i 0.0905936 0.230829i
\(283\) −1.39008 + 18.5493i −0.0826315 + 1.10264i 0.789624 + 0.613590i \(0.210275\pi\)
−0.872256 + 0.489050i \(0.837344\pi\)
\(284\) −23.9028 7.37303i −1.41837 0.437509i
\(285\) 2.28736 + 30.5226i 0.135491 + 1.80801i
\(286\) −1.29477 + 5.67274i −0.0765611 + 0.335436i
\(287\) 0.0549747 0.155440i 0.00324506 0.00917536i
\(288\) 5.92278 + 25.9494i 0.349003 + 1.52908i
\(289\) 1.09574 0.337990i 0.0644552 0.0198818i
\(290\) −4.75810 12.1235i −0.279405 0.711914i
\(291\) −38.6131 35.8277i −2.26354 2.10026i
\(292\) −25.6948 17.5184i −1.50367 1.02519i
\(293\) −16.4691 −0.962137 −0.481069 0.876683i \(-0.659751\pi\)
−0.481069 + 0.876683i \(0.659751\pi\)
\(294\) 0.346741 51.8755i 0.0202224 3.02544i
\(295\) 18.7378 1.09096
\(296\) 0.498902 + 0.340146i 0.0289981 + 0.0197706i
\(297\) 22.3619 + 20.7488i 1.29757 + 1.20397i
\(298\) −20.4098 52.0033i −1.18231 3.01247i
\(299\) 3.57882 1.10392i 0.206969 0.0638413i
\(300\) 3.77965 + 16.5597i 0.218218 + 0.956077i
\(301\) −0.670666 6.13658i −0.0386565 0.353707i
\(302\) −6.36789 + 27.8996i −0.366431 + 1.60544i
\(303\) −3.23516 43.1703i −0.185855 2.48007i
\(304\) −7.17711 2.21384i −0.411635 0.126973i
\(305\) 0.0855374 1.14142i 0.00489785 0.0653573i
\(306\) −25.3351 + 64.5529i −1.44831 + 3.69024i
\(307\) −17.5692 + 8.46089i −1.00273 + 0.482889i −0.861864 0.507140i \(-0.830703\pi\)
−0.140865 + 0.990029i \(0.544988\pi\)
\(308\) −22.7547 + 4.22670i −1.29657 + 0.240839i
\(309\) −16.3792 7.88779i −0.931778 0.448720i
\(310\) 24.0937 22.3557i 1.36843 1.26972i
\(311\) 24.6614 3.71711i 1.39842 0.210778i 0.593822 0.804597i \(-0.297619\pi\)
0.804599 + 0.593819i \(0.202380\pi\)
\(312\) 5.69843 9.86998i 0.322610 0.558778i
\(313\) −1.44365 2.50048i −0.0816000 0.141335i 0.822337 0.569000i \(-0.192670\pi\)
−0.903937 + 0.427665i \(0.859336\pi\)
\(314\) 22.6875 + 28.4492i 1.28033 + 1.60548i
\(315\) −8.72075 32.9869i −0.491359 1.85860i
\(316\) −11.4636 + 14.3749i −0.644877 + 0.808651i
\(317\) 8.17720 + 1.23251i 0.459277 + 0.0692249i 0.374606 0.927184i \(-0.377778\pi\)
0.0846710 + 0.996409i \(0.473016\pi\)
\(318\) −81.4502 + 55.5318i −4.56750 + 3.11407i
\(319\) −6.06477 + 4.13489i −0.339562 + 0.231510i
\(320\) −22.0030 3.31642i −1.23001 0.185394i
\(321\) 16.3066 20.4478i 0.910145 1.14129i
\(322\) 15.1510 + 17.7253i 0.844334 + 0.987792i
\(323\) 13.8470 + 17.3636i 0.770469 + 0.966138i
\(324\) −32.0183 55.4573i −1.77879 3.08096i
\(325\) −0.762271 + 1.32029i −0.0422832 + 0.0732366i
\(326\) −22.9592 + 3.46054i −1.27159 + 0.191661i
\(327\) −21.4770 + 19.9277i −1.18768 + 1.10201i
\(328\) 0.203189 + 0.0978504i 0.0112192 + 0.00540289i
\(329\) 1.12357 + 0.973461i 0.0619442 + 0.0536687i
\(330\) −30.7779 + 14.8219i −1.69427 + 0.815917i
\(331\) 9.00439 22.9428i 0.494926 1.26105i −0.437346 0.899293i \(-0.644082\pi\)
0.932272 0.361757i \(-0.117823\pi\)
\(332\) 4.58041 61.1214i 0.251383 3.35447i
\(333\) 1.10293 + 0.340208i 0.0604401 + 0.0186433i
\(334\) −1.26468 16.8759i −0.0692000 0.923409i
\(335\) −3.84702 + 16.8549i −0.210185 + 0.920880i
\(336\) 11.9235 + 1.38383i 0.650481 + 0.0754939i
\(337\) 3.95411 + 17.3241i 0.215394 + 0.943702i 0.960833 + 0.277128i \(0.0893828\pi\)
−0.745439 + 0.666574i \(0.767760\pi\)
\(338\) 2.24871 0.693636i 0.122314 0.0377288i
\(339\) −5.69719 14.5162i −0.309429 0.788411i
\(340\) −20.5958 19.1101i −1.11696 1.03639i
\(341\) −15.3055 10.4351i −0.828841 0.565095i
\(342\) −84.8701 −4.58925
\(343\) 17.4188 + 6.29181i 0.940525 + 0.339726i
\(344\) 8.44380 0.455259
\(345\) 18.1673 + 12.3863i 0.978096 + 0.666855i
\(346\) −31.7651 29.4737i −1.70770 1.58452i
\(347\) −0.840284 2.14101i −0.0451088 0.114935i 0.906544 0.422112i \(-0.138711\pi\)
−0.951653 + 0.307177i \(0.900616\pi\)
\(348\) 31.6057 9.74905i 1.69424 0.522604i
\(349\) 0.802829 + 3.51742i 0.0429745 + 0.188283i 0.991859 0.127339i \(-0.0406437\pi\)
−0.948885 + 0.315623i \(0.897787\pi\)
\(350\) −9.42873 1.09429i −0.503987 0.0584920i
\(351\) 2.74533 12.0281i 0.146535 0.642012i
\(352\) 0.710958 + 9.48708i 0.0378942 + 0.505663i
\(353\) 0.192126 + 0.0592631i 0.0102259 + 0.00315426i 0.299864 0.953982i \(-0.403059\pi\)
−0.289638 + 0.957136i \(0.593535\pi\)
\(354\) −5.56650 + 74.2798i −0.295856 + 3.94793i
\(355\) 4.81560 12.2699i 0.255585 0.651221i
\(356\) 53.7594 25.8892i 2.84924 1.37212i
\(357\) −26.8257 23.2419i −1.41977 1.23009i
\(358\) 29.7005 + 14.3030i 1.56972 + 0.755936i
\(359\) −22.0110 + 20.4232i −1.16170 + 1.07790i −0.165915 + 0.986140i \(0.553058\pi\)
−0.995781 + 0.0917572i \(0.970752\pi\)
\(360\) 46.1494 6.95590i 2.43229 0.366608i
\(361\) −4.09025 + 7.08452i −0.215276 + 0.372870i
\(362\) 28.8118 + 49.9035i 1.51431 + 2.62287i
\(363\) −9.59441 12.0310i −0.503576 0.631465i
\(364\) 6.08183 + 7.11517i 0.318774 + 0.372936i
\(365\) 10.2173 12.8121i 0.534798 0.670616i
\(366\) 4.49935 + 0.678168i 0.235185 + 0.0354484i
\(367\) 8.95150 6.10303i 0.467264 0.318576i −0.306698 0.951807i \(-0.599224\pi\)
0.773963 + 0.633231i \(0.218272\pi\)
\(368\) −4.45799 + 3.03940i −0.232389 + 0.158440i
\(369\) 0.426270 + 0.0642499i 0.0221907 + 0.00334472i
\(370\) −0.456387 + 0.572291i −0.0237264 + 0.0297520i
\(371\) −8.99508 34.0245i −0.467001 1.76647i
\(372\) 52.0433 + 65.2602i 2.69832 + 3.38358i
\(373\) −9.87075 17.0966i −0.511088 0.885231i −0.999917 0.0128512i \(-0.995909\pi\)
0.488829 0.872379i \(-0.337424\pi\)
\(374\) −12.3934 + 21.4659i −0.640845 + 1.10998i
\(375\) −37.8775 + 5.70912i −1.95599 + 0.294818i
\(376\) −1.49062 + 1.38309i −0.0768728 + 0.0713275i
\(377\) 2.67466 + 1.28805i 0.137752 + 0.0663379i
\(378\) 75.5227 14.0284i 3.88447 0.721543i
\(379\) 11.6069 5.58959i 0.596206 0.287118i −0.111343 0.993782i \(-0.535515\pi\)
0.707549 + 0.706664i \(0.249801\pi\)
\(380\) 12.5624 32.0084i 0.644436 1.64200i
\(381\) −3.07354 + 41.0135i −0.157462 + 2.10118i
\(382\) −8.89591 2.74402i −0.455154 0.140397i
\(383\) 1.69869 + 22.6675i 0.0867993 + 1.15826i 0.855204 + 0.518291i \(0.173432\pi\)
−0.768405 + 0.639964i \(0.778949\pi\)
\(384\) 14.2907 62.6116i 0.729269 3.19514i
\(385\) −1.32497 12.1235i −0.0675267 0.617869i
\(386\) −9.00594 39.4576i −0.458390 2.00834i
\(387\) 15.4232 4.75744i 0.784007 0.241834i
\(388\) 21.6189 + 55.0840i 1.09753 + 2.79647i
\(389\) −12.5290 11.6252i −0.635245 0.589421i 0.295387 0.955378i \(-0.404551\pi\)
−0.930632 + 0.365957i \(0.880742\pi\)
\(390\) 11.4152 + 7.78278i 0.578034 + 0.394097i
\(391\) 15.9542 0.806838
\(392\) −11.1437 + 22.7499i −0.562843 + 1.14905i
\(393\) 67.9824 3.42926
\(394\) −10.9260 7.44922i −0.550444 0.375286i
\(395\) −7.10221 6.58989i −0.357351 0.331573i
\(396\) −22.1076 56.3294i −1.11095 2.83066i
\(397\) −11.0335 + 3.40339i −0.553757 + 0.170811i −0.558989 0.829175i \(-0.688811\pi\)
0.00523239 + 0.999986i \(0.498334\pi\)
\(398\) 2.81644 + 12.3396i 0.141175 + 0.618530i
\(399\) 14.4840 40.9533i 0.725106 2.05023i
\(400\) 0.488728 2.14126i 0.0244364 0.107063i
\(401\) 1.98634 + 26.5059i 0.0991933 + 1.32364i 0.795524 + 0.605921i \(0.207195\pi\)
−0.696331 + 0.717721i \(0.745186\pi\)
\(402\) −65.6726 20.2573i −3.27545 1.01034i
\(403\) −0.559872 + 7.47097i −0.0278892 + 0.372156i
\(404\) −17.7678 + 45.2717i −0.883983 + 2.25235i
\(405\) 30.4022 14.6409i 1.51070 0.727514i
\(406\) −0.752835 + 18.4679i −0.0373626 + 0.916547i
\(407\) 0.371695 + 0.178999i 0.0184243 + 0.00887265i
\(408\) 35.5893 33.0220i 1.76193 1.63483i
\(409\) 9.08221 1.36892i 0.449086 0.0676889i 0.0793944 0.996843i \(-0.474701\pi\)
0.369692 + 0.929154i \(0.379463\pi\)
\(410\) −0.136695 + 0.236763i −0.00675090 + 0.0116929i
\(411\) −9.74263 16.8747i −0.480568 0.832369i
\(412\) 12.7335 + 15.9672i 0.627332 + 0.786650i
\(413\) −24.3382 10.7156i −1.19760 0.527280i
\(414\) −38.0130 + 47.6667i −1.86823 + 2.34269i
\(415\) 31.9373 + 4.81378i 1.56774 + 0.236299i
\(416\) 3.17910 2.16747i 0.155868 0.106269i
\(417\) 3.72431 2.53919i 0.182380 0.124345i
\(418\) −29.9965 4.52125i −1.46718 0.221141i
\(419\) −6.10587 + 7.65651i −0.298291 + 0.374045i −0.908279 0.418366i \(-0.862603\pi\)
0.609988 + 0.792411i \(0.291174\pi\)
\(420\) −10.3969 + 53.9612i −0.507318 + 2.63304i
\(421\) −17.1491 21.5043i −0.835796 1.04805i −0.998118 0.0613169i \(-0.980470\pi\)
0.162323 0.986738i \(-0.448101\pi\)
\(422\) −3.04050 5.26630i −0.148009 0.256359i
\(423\) −1.94346 + 3.36617i −0.0944943 + 0.163669i
\(424\) 47.6011 7.17471i 2.31171 0.348435i
\(425\) −4.76072 + 4.41730i −0.230929 + 0.214271i
\(426\) 47.2095 + 22.7349i 2.28731 + 1.10151i
\(427\) −0.763845 + 1.43365i −0.0369650 + 0.0693790i
\(428\) −26.4715 + 12.7480i −1.27955 + 0.616198i
\(429\) 2.84480 7.24843i 0.137348 0.349958i
\(430\) −0.764941 + 10.2074i −0.0368887 + 0.492246i
\(431\) −25.5428 7.87890i −1.23035 0.379513i −0.389625 0.920974i \(-0.627395\pi\)
−0.840726 + 0.541461i \(0.817872\pi\)
\(432\) 1.32824 + 17.7241i 0.0639050 + 0.852753i
\(433\) −2.71081 + 11.8768i −0.130273 + 0.570764i 0.867087 + 0.498156i \(0.165989\pi\)
−0.997361 + 0.0726082i \(0.976868\pi\)
\(434\) −44.0794 + 15.2589i −2.11588 + 0.732451i
\(435\) 3.87828 + 16.9919i 0.185949 + 0.814698i
\(436\) 31.4512 9.70141i 1.50624 0.464613i
\(437\) 7.13351 + 18.1759i 0.341242 + 0.869471i
\(438\) 47.7540 + 44.3092i 2.28177 + 2.11718i
\(439\) −1.69783 1.15756i −0.0810332 0.0552475i 0.522126 0.852869i \(-0.325139\pi\)
−0.603159 + 0.797621i \(0.706092\pi\)
\(440\) 16.6816 0.795265
\(441\) −7.53699 + 47.8331i −0.358904 + 2.27777i
\(442\) 10.0246 0.476824
\(443\) −9.92333 6.76561i −0.471471 0.321444i 0.304170 0.952618i \(-0.401621\pi\)
−0.775641 + 0.631174i \(0.782573\pi\)
\(444\) −1.36271 1.26441i −0.0646714 0.0600063i
\(445\) 11.4871 + 29.2687i 0.544542 + 1.38747i
\(446\) 31.3523 9.67090i 1.48457 0.457931i
\(447\) 16.6358 + 72.8862i 0.786847 + 3.44740i
\(448\) 26.6827 + 16.8905i 1.26064 + 0.798002i
\(449\) 8.37907 36.7111i 0.395433 1.73250i −0.249600 0.968349i \(-0.580299\pi\)
0.645033 0.764155i \(-0.276844\pi\)
\(450\) −1.85465 24.7485i −0.0874288 1.16666i
\(451\) 0.147238 + 0.0454170i 0.00693318 + 0.00213860i
\(452\) −1.30916 + 17.4695i −0.0615777 + 0.821697i
\(453\) 13.9912 35.6491i 0.657366 1.67494i
\(454\) 43.1326 20.7716i 2.02431 0.974858i
\(455\) −3.97834 + 2.91566i −0.186507 + 0.136688i
\(456\) 53.5333 + 25.7803i 2.50693 + 1.20727i
\(457\) 7.42386 6.88833i 0.347273 0.322223i −0.487180 0.873302i \(-0.661974\pi\)
0.834453 + 0.551079i \(0.185784\pi\)
\(458\) 15.3957 2.32053i 0.719394 0.108431i
\(459\) 26.2780 45.5149i 1.22655 2.12445i
\(460\) −12.3507 21.3920i −0.575853 0.997407i
\(461\) 0.279427 + 0.350390i 0.0130142 + 0.0163193i 0.788296 0.615296i \(-0.210964\pi\)
−0.775282 + 0.631615i \(0.782392\pi\)
\(462\) 48.4530 1.65085i 2.25424 0.0768043i
\(463\) −18.5241 + 23.2285i −0.860888 + 1.07952i 0.135171 + 0.990822i \(0.456842\pi\)
−0.996059 + 0.0886971i \(0.971730\pi\)
\(464\) −4.22900 0.637420i −0.196327 0.0295915i
\(465\) −36.3420 + 24.7775i −1.68532 + 1.14903i
\(466\) −3.36299 + 2.29285i −0.155788 + 0.106214i
\(467\) −15.4473 2.32831i −0.714816 0.107741i −0.218442 0.975850i \(-0.570097\pi\)
−0.496374 + 0.868109i \(0.665336\pi\)
\(468\) −15.2589 + 19.1341i −0.705344 + 0.884473i
\(469\) 14.6356 19.6925i 0.675809 0.909313i
\(470\) −1.53693 1.92726i −0.0708935 0.0888977i
\(471\) −24.3478 42.1717i −1.12189 1.94317i
\(472\) 18.1872 31.5011i 0.837133 1.44996i
\(473\) 5.70463 0.859835i 0.262299 0.0395353i
\(474\) 28.2333 26.1967i 1.29680 1.20325i
\(475\) −7.16107 3.44859i −0.328572 0.158232i
\(476\) 15.8229 + 36.5998i 0.725243 + 1.67755i
\(477\) 82.9046 39.9247i 3.79594 1.82803i
\(478\) 21.8814 55.7528i 1.00083 2.55007i
\(479\) −0.0662702 + 0.884315i −0.00302796 + 0.0404054i −0.998513 0.0545121i \(-0.982640\pi\)
0.995485 + 0.0949174i \(0.0302587\pi\)
\(480\) 21.5860 + 6.65840i 0.985261 + 0.303913i
\(481\) −0.0124688 0.166384i −0.000568526 0.00758645i
\(482\) 7.35645 32.2307i 0.335077 1.46807i
\(483\) −16.5138 26.4776i −0.751406 1.20477i
\(484\) 3.84676 + 16.8538i 0.174853 + 0.766080i
\(485\) −29.7966 + 9.19103i −1.35299 + 0.417343i
\(486\) 17.1864 + 43.7901i 0.779589 + 1.98636i
\(487\) −29.3944 27.2741i −1.33199 1.23591i −0.950194 0.311658i \(-0.899116\pi\)
−0.381795 0.924247i \(-0.624694\pi\)
\(488\) −1.83587 1.25168i −0.0831059 0.0566607i
\(489\) 31.0719 1.40512
\(490\) −26.4921 15.5322i −1.19679 0.701675i
\(491\) 9.96040 0.449506 0.224753 0.974416i \(-0.427842\pi\)
0.224753 + 0.974416i \(0.427842\pi\)
\(492\) −0.573660 0.391115i −0.0258626 0.0176328i
\(493\) 9.27027 + 8.60156i 0.417512 + 0.387395i
\(494\) 4.48226 + 11.4206i 0.201667 + 0.513838i
\(495\) 30.4702 9.39882i 1.36953 0.422445i
\(496\) −2.40171 10.5226i −0.107840 0.472478i
\(497\) −13.2717 + 13.1833i −0.595317 + 0.591351i
\(498\) −28.5703 + 125.175i −1.28027 + 5.60922i
\(499\) 0.883121 + 11.7844i 0.0395339 + 0.527544i 0.981453 + 0.191703i \(0.0614012\pi\)
−0.941919 + 0.335840i \(0.890980\pi\)
\(500\) 41.1205 + 12.6840i 1.83896 + 0.567245i
\(501\) −1.69244 + 22.5840i −0.0756125 + 1.00898i
\(502\) 19.3462 49.2933i 0.863463 2.20007i
\(503\) 21.5610 10.3832i 0.961358 0.462965i 0.113704 0.993515i \(-0.463729\pi\)
0.847654 + 0.530549i \(0.178014\pi\)
\(504\) −63.9204 17.3566i −2.84724 0.773123i
\(505\) −23.0894 11.1193i −1.02747 0.494802i
\(506\) −15.9746 + 14.8223i −0.710159 + 0.658932i
\(507\) −3.11405 + 0.469367i −0.138300 + 0.0208453i
\(508\) 23.1019 40.0137i 1.02498 1.77532i
\(509\) 1.79391 + 3.10715i 0.0795137 + 0.137722i 0.903040 0.429556i \(-0.141330\pi\)
−0.823527 + 0.567278i \(0.807997\pi\)
\(510\) 36.6951 + 46.0142i 1.62489 + 2.03754i
\(511\) −20.5979 + 10.7984i −0.911198 + 0.477693i
\(512\) −9.95736 + 12.4861i −0.440057 + 0.551815i
\(513\) 63.6026 + 9.58655i 2.80812 + 0.423256i
\(514\) −2.99879 + 2.04454i −0.132271 + 0.0901808i
\(515\) −8.89180 + 6.06233i −0.391820 + 0.267138i
\(516\) −25.7051 3.87442i −1.13161 0.170562i
\(517\) −0.866221 + 1.08621i −0.0380964 + 0.0477713i
\(518\) 0.920068 0.482343i 0.0404254 0.0211929i
\(519\) 36.1558 + 45.3380i 1.58707 + 1.99012i
\(520\) −3.37333 5.84277i −0.147930 0.256222i
\(521\) 11.1691 19.3454i 0.489326 0.847537i −0.510599 0.859819i \(-0.670576\pi\)
0.999925 + 0.0122822i \(0.00390965\pi\)
\(522\) −47.7867 + 7.20269i −2.09157 + 0.315253i
\(523\) −17.7339 + 16.4546i −0.775448 + 0.719511i −0.964968 0.262366i \(-0.915497\pi\)
0.189520 + 0.981877i \(0.439307\pi\)
\(524\) −68.8084 33.1364i −3.00591 1.44757i
\(525\) 12.2587 + 3.32865i 0.535013 + 0.145274i
\(526\) 34.8573 16.7864i 1.51985 0.731922i
\(527\) −11.6598 + 29.7086i −0.507908 + 1.29413i
\(528\) −0.838312 + 11.1865i −0.0364828 + 0.486830i
\(529\) −8.57474 2.64496i −0.372815 0.114998i
\(530\) 4.36099 + 58.1933i 0.189429 + 2.52776i
\(531\) 15.4718 67.7862i 0.671417 2.94167i
\(532\) −34.6217 + 34.3910i −1.50104 + 1.49104i
\(533\) −0.0138669 0.0607547i −0.000600640 0.00263158i
\(534\) −119.438 + 36.8419i −5.16861 + 1.59430i
\(535\) −5.65633 14.4121i −0.244544 0.623089i
\(536\) 24.6016 + 22.8270i 1.06263 + 0.985975i
\(537\) −36.4495 24.8509i −1.57291 1.07239i
\(538\) 22.8575 0.985456
\(539\) −5.21207 + 16.5046i −0.224500 + 0.710904i
\(540\) −81.3708 −3.50164
\(541\) 2.15856 + 1.47168i 0.0928037 + 0.0632725i 0.608833 0.793299i \(-0.291638\pi\)
−0.516029 + 0.856571i \(0.672590\pi\)
\(542\) −39.4391 36.5941i −1.69405 1.57185i
\(543\) −28.1729 71.7834i −1.20901 3.08052i
\(544\) 15.6625 4.83124i 0.671524 0.207138i
\(545\) 3.85933 + 16.9088i 0.165316 + 0.724295i
\(546\) −10.3763 16.6369i −0.444064 0.711995i
\(547\) 5.15640 22.5916i 0.220472 0.965949i −0.736653 0.676271i \(-0.763595\pi\)
0.957124 0.289678i \(-0.0935482\pi\)
\(548\) 1.63582 + 21.8286i 0.0698790 + 0.932470i
\(549\) −4.05858 1.25191i −0.173216 0.0534300i
\(550\) 0.662910 8.84593i 0.0282666 0.377192i
\(551\) −5.65440 + 14.4072i −0.240885 + 0.613766i
\(552\) 38.4567 18.5198i 1.63682 0.788253i
\(553\) 5.45636 + 12.6210i 0.232028 + 0.536700i
\(554\) 47.4289 + 22.8405i 2.01506 + 0.970402i
\(555\) 0.718078 0.666279i 0.0304807 0.0282820i
\(556\) −5.00723 + 0.754719i −0.212354 + 0.0320072i
\(557\) 2.29187 3.96964i 0.0971097 0.168199i −0.813377 0.581736i \(-0.802374\pi\)
0.910487 + 0.413537i \(0.135707\pi\)
\(558\) −60.9803 105.621i −2.58150 4.47129i
\(559\) −1.45474 1.82419i −0.0615289 0.0771548i
\(560\) 4.23864 5.70316i 0.179115 0.241003i
\(561\) 20.6815 25.9337i 0.873172 1.09492i
\(562\) 0.634515 + 0.0956377i 0.0267654 + 0.00403423i
\(563\) 13.3845 9.12541i 0.564090 0.384590i −0.247438 0.968904i \(-0.579589\pi\)
0.811528 + 0.584314i \(0.198636\pi\)
\(564\) 5.17246 3.52652i 0.217800 0.148493i
\(565\) −9.12823 1.37586i −0.384027 0.0578828i
\(566\) −27.2925 + 34.2237i −1.14719 + 1.43853i
\(567\) −47.8615 + 1.63069i −2.00999 + 0.0684827i
\(568\) −15.9536 20.0051i −0.669396 0.839396i
\(569\) 4.33217 + 7.50354i 0.181614 + 0.314565i 0.942430 0.334403i \(-0.108535\pi\)
−0.760816 + 0.648967i \(0.775201\pi\)
\(570\) −36.0146 + 62.3791i −1.50849 + 2.61277i
\(571\) 12.1812 1.83602i 0.509767 0.0768350i 0.110877 0.993834i \(-0.464634\pi\)
0.398889 + 0.916999i \(0.369396\pi\)
\(572\) −6.41244 + 5.94987i −0.268117 + 0.248777i
\(573\) 11.2246 + 5.40547i 0.468913 + 0.225817i
\(574\) 0.312948 0.229355i 0.0130622 0.00957309i
\(575\) −5.14429 + 2.47736i −0.214532 + 0.103313i
\(576\) −30.1654 + 76.8601i −1.25689 + 3.20251i
\(577\) 1.65235 22.0491i 0.0687884 0.917917i −0.850915 0.525303i \(-0.823952\pi\)
0.919703 0.392614i \(-0.128429\pi\)
\(578\) 2.57856 + 0.795380i 0.107254 + 0.0330834i
\(579\) 4.04750 + 54.0102i 0.168208 + 2.24459i
\(580\) 4.35687 19.0887i 0.180909 0.792615i
\(581\) −38.7299 24.5165i −1.60679 1.01712i
\(582\) −27.5830 120.849i −1.14335 5.00935i
\(583\) 31.4287 9.69447i 1.30164 0.401504i
\(584\) −11.6220 29.6124i −0.480923 1.22537i
\(585\) −9.45359 8.77165i −0.390858 0.362663i
\(586\) −32.0219 21.8321i −1.32281 0.901877i
\(587\) −16.2088 −0.669010 −0.334505 0.942394i \(-0.608569\pi\)
−0.334505 + 0.942394i \(0.608569\pi\)
\(588\) 44.3632 64.1434i 1.82951 2.64523i
\(589\) −39.0591 −1.60940
\(590\) 36.4330 + 24.8396i 1.49992 + 1.02263i
\(591\) 12.9725 + 12.0367i 0.533617 + 0.495124i
\(592\) 0.0878179 + 0.223756i 0.00360929 + 0.00919632i
\(593\) 21.6755 6.68600i 0.890105 0.274561i 0.184218 0.982885i \(-0.441025\pi\)
0.705887 + 0.708324i \(0.250549\pi\)
\(594\) 15.9741 + 69.9869i 0.655423 + 2.87160i
\(595\) −19.8553 + 6.87329i −0.813989 + 0.281777i
\(596\) 18.6887 81.8805i 0.765519 3.35396i
\(597\) −1.26578 16.8907i −0.0518050 0.691289i
\(598\) 8.42190 + 2.59781i 0.344397 + 0.106232i
\(599\) −2.51245 + 33.5264i −0.102656 + 1.36985i 0.673443 + 0.739239i \(0.264815\pi\)
−0.776099 + 0.630611i \(0.782804\pi\)
\(600\) −6.34780 + 16.1739i −0.259148 + 0.660298i
\(601\) 11.0267 5.31018i 0.449789 0.216607i −0.195255 0.980753i \(-0.562553\pi\)
0.645044 + 0.764146i \(0.276839\pi\)
\(602\) 6.83088 12.8208i 0.278406 0.522535i
\(603\) 57.7980 + 27.8340i 2.35372 + 1.13349i
\(604\) −31.5375 + 29.2626i −1.28324 + 1.19068i
\(605\) −9.00770 + 1.35769i −0.366215 + 0.0551980i
\(606\) 50.9379 88.2271i 2.06921 3.58398i
\(607\) 3.23368 + 5.60089i 0.131251 + 0.227333i 0.924159 0.382008i \(-0.124767\pi\)
−0.792908 + 0.609341i \(0.791434\pi\)
\(608\) 12.5071 + 15.6834i 0.507230 + 0.636046i
\(609\) 4.67972 24.2883i 0.189632 0.984210i
\(610\) 1.67942 2.10593i 0.0679978 0.0852666i
\(611\) 0.555612 + 0.0837451i 0.0224777 + 0.00338796i
\(612\) −86.1387 + 58.7284i −3.48195 + 2.37395i
\(613\) 20.1864 13.7628i 0.815320 0.555876i −0.0823195 0.996606i \(-0.526233\pi\)
0.897640 + 0.440730i \(0.145280\pi\)
\(614\) −45.3769 6.83947i −1.83126 0.276019i
\(615\) 0.228111 0.286042i 0.00919832 0.0115343i
\(616\) −21.6674 9.53971i −0.873005 0.384366i
\(617\) 15.6171 + 19.5833i 0.628722 + 0.788393i 0.989542 0.144243i \(-0.0460746\pi\)
−0.360820 + 0.932635i \(0.617503\pi\)
\(618\) −21.3906 37.0495i −0.860454 1.49035i
\(619\) −5.55886 + 9.62822i −0.223429 + 0.386991i −0.955847 0.293865i \(-0.905059\pi\)
0.732418 + 0.680856i \(0.238392\pi\)
\(620\) 48.8607 7.36457i 1.96229 0.295768i
\(621\) 33.8715 31.4282i 1.35922 1.26117i
\(622\) 52.8781 + 25.4648i 2.12022 + 1.02104i
\(623\) 1.81751 44.5856i 0.0728170 1.78629i
\(624\) 4.08762 1.96849i 0.163636 0.0788028i
\(625\) −5.49950 + 14.0125i −0.219980 + 0.560500i
\(626\) 0.507760 6.77558i 0.0202942 0.270807i
\(627\) 38.7923 + 11.9658i 1.54922 + 0.477870i
\(628\) 4.08810 + 54.5518i 0.163133 + 2.17686i
\(629\) 0.158160 0.692945i 0.00630626 0.0276295i
\(630\) 26.7724 75.6988i 1.06664 3.01591i
\(631\) 1.05832 + 4.63681i 0.0421312 + 0.184589i 0.991615 0.129227i \(-0.0412497\pi\)
−0.949484 + 0.313816i \(0.898393\pi\)
\(632\) −17.9721 + 5.54366i −0.714892 + 0.220515i
\(633\) 2.97308 + 7.57528i 0.118169 + 0.301090i
\(634\) 14.2655 + 13.2365i 0.566556 + 0.525687i
\(635\) 20.1164 + 13.7152i 0.798296 + 0.544269i
\(636\) −148.202 −5.87660
\(637\) 6.83475 1.51200i 0.270803 0.0599075i
\(638\) −17.2735 −0.683863
\(639\) −40.4117 27.5522i −1.59866 1.08995i
\(640\) −27.8689 25.8586i −1.10162 1.02215i
\(641\) −10.1776 25.9322i −0.401993 1.02426i −0.978331 0.207049i \(-0.933614\pi\)
0.576338 0.817211i \(-0.304481\pi\)
\(642\) 58.8122 18.1412i 2.32113 0.715975i
\(643\) −6.86001 30.0557i −0.270532 1.18528i −0.909387 0.415952i \(-0.863448\pi\)
0.638854 0.769328i \(-0.279409\pi\)
\(644\) 3.80860 + 34.8486i 0.150080 + 1.37323i
\(645\) 3.04815 13.3548i 0.120021 0.525845i
\(646\) 3.90565 + 52.1173i 0.153666 + 2.05053i
\(647\) 32.5819 + 10.0502i 1.28093 + 0.395114i 0.859215 0.511615i \(-0.170953\pi\)
0.421713 + 0.906729i \(0.361429\pi\)
\(648\) 4.89516 65.3214i 0.192300 2.56607i
\(649\) 9.07949 23.1342i 0.356401 0.908095i
\(650\) −3.23236 + 1.55662i −0.126783 + 0.0610557i
\(651\) 61.3733 11.4001i 2.40541 0.446807i
\(652\) −31.4494 15.1452i −1.23165 0.593133i
\(653\) −6.65118 + 6.17139i −0.260281 + 0.241505i −0.799509 0.600655i \(-0.794907\pi\)
0.539228 + 0.842160i \(0.318716\pi\)
\(654\) −68.1759 + 10.2759i −2.66589 + 0.401818i
\(655\) 20.1219 34.8522i 0.786228 1.36179i
\(656\) 0.0448884 + 0.0777490i 0.00175260 + 0.00303559i
\(657\) −37.9128 47.5412i −1.47912 1.85476i
\(658\) 0.894153 + 3.38220i 0.0348577 + 0.131852i
\(659\) −28.8287 + 36.1501i −1.12301 + 1.40821i −0.221654 + 0.975125i \(0.571146\pi\)
−0.901354 + 0.433082i \(0.857426\pi\)
\(660\) −50.7832 7.65433i −1.97673 0.297944i
\(661\) 10.4980 7.15738i 0.408323 0.278390i −0.341690 0.939813i \(-0.610999\pi\)
0.750013 + 0.661423i \(0.230047\pi\)
\(662\) 47.9216 32.6724i 1.86253 1.26985i
\(663\) −13.2655 1.99945i −0.515190 0.0776524i
\(664\) 39.0915 49.0192i 1.51704 1.90231i
\(665\) −16.7082 19.5471i −0.647917 0.758003i
\(666\) 1.69349 + 2.12357i 0.0656214 + 0.0822867i
\(667\) 5.55911 + 9.62866i 0.215250 + 0.372823i
\(668\) 12.7210 22.0334i 0.492191 0.852500i
\(669\) −43.4171 + 6.54407i −1.67860 + 0.253008i
\(670\) −29.8235 + 27.6721i −1.15218 + 1.06907i
\(671\) −1.36777 0.658684i −0.0528023 0.0254282i
\(672\) −24.2299 20.9928i −0.934687 0.809816i
\(673\) −0.417644 + 0.201127i −0.0160990 + 0.00775287i −0.441916 0.897056i \(-0.645701\pi\)
0.425817 + 0.904809i \(0.359987\pi\)
\(674\) −15.2773 + 38.9259i −0.588459 + 1.49937i
\(675\) −1.40559 + 18.7563i −0.0541012 + 0.721931i
\(676\) 3.38067 + 1.04280i 0.130026 + 0.0401076i
\(677\) −0.396362 5.28909i −0.0152334 0.203276i −0.999627 0.0272972i \(-0.991310\pi\)
0.984394 0.175979i \(-0.0563091\pi\)
\(678\) 8.16588 35.7771i 0.313609 1.37401i
\(679\) 43.9582 + 5.10173i 1.68696 + 0.195787i
\(680\) −6.39525 28.0194i −0.245247 1.07450i
\(681\) −61.2199 + 18.8838i −2.34595 + 0.723631i
\(682\) −15.9262 40.5793i −0.609845 1.55386i
\(683\) −8.00219 7.42495i −0.306195 0.284108i 0.512076 0.858940i \(-0.328877\pi\)
−0.818271 + 0.574833i \(0.805067\pi\)
\(684\) −105.421 71.8751i −4.03089 2.74821i
\(685\) −11.5348 −0.440721
\(686\) 25.5276 + 35.3245i 0.974648 + 1.34870i
\(687\) −20.8358 −0.794936
\(688\) 2.77727 + 1.89351i 0.105882 + 0.0721895i
\(689\) −9.75097 9.04758i −0.371482 0.344685i
\(690\) 18.9040 + 48.1667i 0.719664 + 1.83367i
\(691\) 42.5714 13.1315i 1.61949 0.499547i 0.653241 0.757150i \(-0.273409\pi\)
0.966251 + 0.257604i \(0.0829329\pi\)
\(692\) −14.4962 63.5121i −0.551064 2.41437i
\(693\) −44.9520 5.21707i −1.70759 0.198180i
\(694\) 1.20439 5.27680i 0.0457182 0.200304i
\(695\) −0.199406 2.66089i −0.00756391 0.100933i
\(696\) 32.3302 + 9.97255i 1.22547 + 0.378008i
\(697\) 0.0198382 0.264722i 0.000751424 0.0100271i
\(698\) −3.10185 + 7.90339i −0.117407 + 0.299148i
\(699\) 4.90753 2.36334i 0.185620 0.0893898i
\(700\) −10.7852 9.34430i −0.407641 0.353181i
\(701\) 29.1856 + 14.0550i 1.10233 + 0.530852i 0.894389 0.447291i \(-0.147611\pi\)
0.207936 + 0.978142i \(0.433325\pi\)
\(702\) 21.2828 19.7476i 0.803268 0.745324i
\(703\) 0.860158 0.129648i 0.0324415 0.00488976i
\(704\) −14.7562 + 25.5585i −0.556145 + 0.963272i
\(705\) 1.64941 + 2.85687i 0.0621205 + 0.107596i
\(706\) 0.295001 + 0.369919i 0.0111025 + 0.0139221i
\(707\) 23.6316 + 27.6468i 0.888758 + 1.03976i
\(708\) −69.8207 + 87.5524i −2.62402 + 3.29042i
\(709\) 9.69368 + 1.46109i 0.364054 + 0.0548723i 0.328522 0.944496i \(-0.393449\pi\)
0.0355316 + 0.999369i \(0.488688\pi\)
\(710\) 25.6288 17.4734i 0.961831 0.655765i
\(711\) −29.7040 + 20.2518i −1.11399 + 0.759502i
\(712\) 60.3546 + 9.09700i 2.26189 + 0.340924i
\(713\) −17.4944 + 21.9373i −0.655170 + 0.821557i
\(714\) −21.3484 80.7517i −0.798942 3.02205i
\(715\) −2.87399 3.60387i −0.107481 0.134777i
\(716\) 24.7794 + 42.9193i 0.926052 + 1.60397i
\(717\) −40.0755 + 69.4128i −1.49665 + 2.59227i
\(718\) −69.8711 + 10.5314i −2.60757 + 0.393027i
\(719\) −26.4861 + 24.5755i −0.987766 + 0.916513i −0.996512 0.0834490i \(-0.973406\pi\)
0.00874619 + 0.999962i \(0.497216\pi\)
\(720\) 16.7390 + 8.06106i 0.623824 + 0.300418i
\(721\) 15.0162 2.78928i 0.559234 0.103878i
\(722\) −17.3444 + 8.35264i −0.645493 + 0.310853i
\(723\) −16.1633 + 41.1833i −0.601118 + 1.53162i
\(724\) −6.47387 + 86.3877i −0.240599 + 3.21058i
\(725\) −4.32476 1.33401i −0.160618 0.0495440i
\(726\) −2.70617 36.1113i −0.100435 1.34022i
\(727\) −8.79818 + 38.5473i −0.326306 + 1.42964i 0.499807 + 0.866137i \(0.333404\pi\)
−0.826113 + 0.563504i \(0.809453\pi\)
\(728\) 1.04024 + 9.51816i 0.0385538 + 0.352766i
\(729\) −1.92525 8.43505i −0.0713054 0.312409i
\(730\) 36.8503 11.3668i 1.36389 0.420705i
\(731\) −3.63122 9.25220i −0.134306 0.342205i
\(732\) 5.01454 + 4.65281i 0.185343 + 0.171973i
\(733\) −31.4223 21.4234i −1.16061 0.791291i −0.179314 0.983792i \(-0.557388\pi\)
−0.981297 + 0.192501i \(0.938340\pi\)
\(734\) 25.4953 0.941050
\(735\) 31.9588 + 25.8376i 1.17882 + 0.953034i
\(736\) 14.4104 0.531173
\(737\) 18.9453 + 12.9167i 0.697861 + 0.475793i
\(738\) 0.743649 + 0.690006i 0.0273741 + 0.0253995i
\(739\) 7.44213 + 18.9622i 0.273763 + 0.697537i 0.999950 + 0.0100393i \(0.00319566\pi\)
−0.726186 + 0.687498i \(0.758709\pi\)
\(740\) −1.05156 + 0.324365i −0.0386563 + 0.0119239i
\(741\) −3.65345 16.0068i −0.134213 0.588025i
\(742\) 27.6146 78.0800i 1.01376 2.86641i
\(743\) −6.06319 + 26.5646i −0.222437 + 0.974559i 0.733201 + 0.680013i \(0.238026\pi\)
−0.955637 + 0.294546i \(0.904831\pi\)
\(744\) 6.38079 + 85.1457i 0.233931 + 3.12159i
\(745\) 42.2902 + 13.0448i 1.54939 + 0.477924i
\(746\) 3.47173 46.3270i 0.127109 1.69615i
\(747\) 43.7850 111.562i 1.60201 4.08185i
\(748\) −33.5735 + 16.1681i −1.22757 + 0.591166i
\(749\) −0.894953 + 21.9542i −0.0327009 + 0.802191i
\(750\) −81.2156 39.1114i −2.96558 1.42815i
\(751\) −33.7579 + 31.3227i −1.23184 + 1.14298i −0.247095 + 0.968991i \(0.579476\pi\)
−0.984747 + 0.173991i \(0.944334\pi\)
\(752\) −0.800440 + 0.120647i −0.0291890 + 0.00439954i
\(753\) −35.4324 + 61.3707i −1.29123 + 2.23647i
\(754\) 3.49301 + 6.05007i 0.127208 + 0.220330i
\(755\) −14.1348 17.7245i −0.514418 0.645060i
\(756\) 105.691 + 46.5335i 3.84394 + 1.69241i
\(757\) −12.0725 + 15.1385i −0.438783 + 0.550217i −0.951222 0.308507i \(-0.900171\pi\)
0.512439 + 0.858724i \(0.328742\pi\)
\(758\) 29.9777 + 4.51841i 1.08884 + 0.164116i
\(759\) 24.0954 16.4280i 0.874609 0.596299i
\(760\) 29.0618 19.8140i 1.05418 0.718729i
\(761\) 36.9160 + 5.56419i 1.33820 + 0.201702i 0.778841 0.627221i \(-0.215808\pi\)
0.559363 + 0.828923i \(0.311046\pi\)
\(762\) −60.3452 + 75.6704i −2.18607 + 2.74125i
\(763\) 4.65685 24.1696i 0.168589 0.874997i
\(764\) −8.72618 10.9423i −0.315702 0.395878i
\(765\) −27.4682 47.5763i −0.993115 1.72013i
\(766\) −26.7461 + 46.3256i −0.966375 + 1.67381i
\(767\) −9.93883 + 1.49804i −0.358870 + 0.0540910i
\(768\) 55.6777 51.6613i 2.00909 1.86417i
\(769\) −1.36102 0.655434i −0.0490797 0.0236355i 0.409183 0.912452i \(-0.365814\pi\)
−0.458263 + 0.888817i \(0.651528\pi\)
\(770\) 13.4951 25.3288i 0.486331 0.912785i
\(771\) 4.37606 2.10740i 0.157600 0.0758961i
\(772\) 22.2293 56.6392i 0.800049 2.03849i
\(773\) −1.51287 + 20.1879i −0.0544143 + 0.726108i 0.901559 + 0.432655i \(0.142423\pi\)
−0.955974 +