Properties

Label 547.2.o.a.4.5
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.5
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.46368 - 0.0283525i) q^{2} +(-0.550970 + 2.41396i) q^{3} +(4.06944 + 0.0936762i) q^{4} +(-1.20693 + 2.26781i) q^{5} +(1.42585 - 5.93159i) q^{6} +(0.105582 + 0.260175i) q^{7} +(-5.09840 - 0.176082i) q^{8} +(-2.82071 - 1.35838i) q^{9} +O(q^{10})\) \(q+(-2.46368 - 0.0283525i) q^{2} +(-0.550970 + 2.41396i) q^{3} +(4.06944 + 0.0936762i) q^{4} +(-1.20693 + 2.26781i) q^{5} +(1.42585 - 5.93159i) q^{6} +(0.105582 + 0.260175i) q^{7} +(-5.09840 - 0.176082i) q^{8} +(-2.82071 - 1.35838i) q^{9} +(3.03779 - 5.55293i) q^{10} +(2.90178 + 3.02107i) q^{11} +(-2.46827 + 9.77185i) q^{12} +(-3.88004 - 0.584822i) q^{13} +(-0.252744 - 0.643981i) q^{14} +(-4.80940 - 4.16297i) q^{15} +(4.42342 + 0.203757i) q^{16} +(-0.818051 + 4.85700i) q^{17} +(6.91081 + 3.42659i) q^{18} +(-2.44198 + 1.31771i) q^{19} +(-5.12397 + 9.11565i) q^{20} +(-0.686223 + 0.111522i) q^{21} +(-7.06339 - 7.52522i) q^{22} +(-3.18309 - 0.745814i) q^{23} +(3.23412 - 12.2103i) q^{24} +(-0.893479 - 1.32683i) q^{25} +(9.54259 + 1.55082i) q^{26} +(0.201853 - 0.253116i) q^{27} +(0.405288 + 1.06866i) q^{28} +(5.21072 + 2.96857i) q^{29} +(11.7308 + 10.3926i) q^{30} +(1.61737 + 0.581660i) q^{31} +(-0.706111 - 0.0406733i) q^{32} +(-8.89152 + 5.34024i) q^{33} +(2.15312 - 11.9429i) q^{34} +(-0.717456 - 0.0745730i) q^{35} +(-11.3515 - 5.79210i) q^{36} +(4.30012 - 3.46990i) q^{37} +(6.05362 - 3.17718i) q^{38} +(3.54952 - 9.04402i) q^{39} +(6.55273 - 11.3497i) q^{40} +(0.317043 + 0.549135i) q^{41} +(1.69380 - 0.255299i) q^{42} +(0.700166 - 7.13521i) q^{43} +(11.5256 + 12.5659i) q^{44} +(6.48495 - 4.75735i) q^{45} +(7.82097 + 1.92770i) q^{46} +(-13.3807 + 1.08020i) q^{47} +(-2.92903 + 10.5657i) q^{48} +(4.96389 - 4.82310i) q^{49} +(2.16363 + 3.29422i) q^{50} +(-11.2739 - 4.65080i) q^{51} +(-15.7348 - 2.74337i) q^{52} +(-3.30141 + 1.14456i) q^{53} +(-0.504479 + 0.617874i) q^{54} +(-10.3534 + 2.93445i) q^{55} +(-0.492488 - 1.34507i) q^{56} +(-1.83544 - 6.62085i) q^{57} +(-12.7534 - 7.46133i) q^{58} +(8.71225 - 3.71194i) q^{59} +(-19.1816 - 17.3915i) q^{60} +(-4.58958 + 2.14552i) q^{61} +(-3.96820 - 1.47888i) q^{62} +(0.0556004 - 0.877299i) q^{63} +(-7.09664 - 0.490775i) q^{64} +(6.00919 - 8.09333i) q^{65} +(22.0573 - 12.9046i) q^{66} +(-1.09190 - 1.06093i) q^{67} +(-3.78400 + 19.6887i) q^{68} +(3.55415 - 7.27292i) q^{69} +(1.76547 + 0.204066i) q^{70} +(-3.32051 + 0.658007i) q^{71} +(14.1419 + 7.42226i) q^{72} +(10.9826 - 9.50640i) q^{73} +(-10.6925 + 8.42680i) q^{74} +(3.69519 - 1.42577i) q^{75} +(-10.0609 + 5.13360i) q^{76} +(-0.479630 + 1.07394i) q^{77} +(-9.00130 + 22.1809i) q^{78} +(-1.01884 - 0.729536i) q^{79} +(-5.80084 + 9.78553i) q^{80} +(-5.35618 - 6.71644i) q^{81} +(-0.765524 - 1.36188i) q^{82} +(9.91158 + 6.26770i) q^{83} +(-2.80299 + 0.389550i) q^{84} +(-10.0274 - 7.71724i) q^{85} +(-1.92729 + 17.5590i) q^{86} +(-10.0369 + 10.9429i) q^{87} +(-14.2625 - 15.9136i) q^{88} +(-0.399745 - 4.62013i) q^{89} +(-16.1117 + 11.5367i) q^{90} +(-0.257507 - 1.07124i) q^{91} +(-12.8835 - 3.33323i) q^{92} +(-2.29523 + 3.58380i) q^{93} +(32.9964 - 2.28190i) q^{94} +(-0.0410156 - 7.12832i) q^{95} +(0.487229 - 1.68211i) q^{96} +(0.527447 + 3.96231i) q^{97} +(-12.3662 + 11.7418i) q^{98} +(-4.08130 - 12.4633i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.46368 0.0283525i −1.74208 0.0200482i −0.865391 0.501097i \(-0.832930\pi\)
−0.876694 + 0.481049i \(0.840256\pi\)
\(3\) −0.550970 + 2.41396i −0.318103 + 1.39370i 0.522774 + 0.852471i \(0.324897\pi\)
−0.840877 + 0.541227i \(0.817960\pi\)
\(4\) 4.06944 + 0.0936762i 2.03472 + 0.0468381i
\(5\) −1.20693 + 2.26781i −0.539755 + 1.01419i 0.452709 + 0.891658i \(0.350458\pi\)
−0.992464 + 0.122535i \(0.960898\pi\)
\(6\) 1.42585 5.93159i 0.582103 2.42156i
\(7\) 0.105582 + 0.260175i 0.0399063 + 0.0983369i 0.945256 0.326331i \(-0.105812\pi\)
−0.905349 + 0.424667i \(0.860391\pi\)
\(8\) −5.09840 0.176082i −1.80256 0.0622544i
\(9\) −2.82071 1.35838i −0.940237 0.452794i
\(10\) 3.03779 5.55293i 0.960632 1.75599i
\(11\) 2.90178 + 3.02107i 0.874918 + 0.910886i 0.996659 0.0816755i \(-0.0260271\pi\)
−0.121741 + 0.992562i \(0.538848\pi\)
\(12\) −2.46827 + 9.77185i −0.712528 + 2.82089i
\(13\) −3.88004 0.584822i −1.07613 0.162200i −0.413019 0.910722i \(-0.635526\pi\)
−0.663110 + 0.748522i \(0.730764\pi\)
\(14\) −0.252744 0.643981i −0.0675487 0.172111i
\(15\) −4.80940 4.16297i −1.24178 1.07487i
\(16\) 4.42342 + 0.203757i 1.10585 + 0.0509392i
\(17\) −0.818051 + 4.85700i −0.198407 + 1.17800i 0.691680 + 0.722204i \(0.256871\pi\)
−0.890086 + 0.455792i \(0.849356\pi\)
\(18\) 6.91081 + 3.42659i 1.62889 + 0.807656i
\(19\) −2.44198 + 1.31771i −0.560229 + 0.302304i −0.730298 0.683128i \(-0.760619\pi\)
0.170070 + 0.985432i \(0.445601\pi\)
\(20\) −5.12397 + 9.11565i −1.14576 + 2.03832i
\(21\) −0.686223 + 0.111522i −0.149746 + 0.0243361i
\(22\) −7.06339 7.52522i −1.50592 1.60438i
\(23\) −3.18309 0.745814i −0.663720 0.155513i −0.117394 0.993085i \(-0.537454\pi\)
−0.546326 + 0.837572i \(0.683974\pi\)
\(24\) 3.23412 12.2103i 0.660162 2.49242i
\(25\) −0.893479 1.32683i −0.178696 0.265366i
\(26\) 9.54259 + 1.55082i 1.87146 + 0.304141i
\(27\) 0.201853 0.253116i 0.0388467 0.0487122i
\(28\) 0.405288 + 1.06866i 0.0765923 + 0.201957i
\(29\) 5.21072 + 2.96857i 0.967606 + 0.551249i 0.894978 0.446110i \(-0.147191\pi\)
0.0726279 + 0.997359i \(0.476861\pi\)
\(30\) 11.7308 + 10.3926i 2.14174 + 1.89742i
\(31\) 1.61737 + 0.581660i 0.290489 + 0.104469i 0.479602 0.877486i \(-0.340781\pi\)
−0.189113 + 0.981955i \(0.560561\pi\)
\(32\) −0.706111 0.0406733i −0.124824 0.00719010i
\(33\) −8.89152 + 5.34024i −1.54781 + 0.929617i
\(34\) 2.15312 11.9429i 0.369258 2.04819i
\(35\) −0.717456 0.0745730i −0.121272 0.0126051i
\(36\) −11.3515 5.79210i −1.89191 0.965349i
\(37\) 4.30012 3.46990i 0.706936 0.570448i −0.205999 0.978552i \(-0.566044\pi\)
0.912935 + 0.408104i \(0.133810\pi\)
\(38\) 6.05362 3.17718i 0.982026 0.515407i
\(39\) 3.54952 9.04402i 0.568378 1.44820i
\(40\) 6.55273 11.3497i 1.03608 1.79454i
\(41\) 0.317043 + 0.549135i 0.0495138 + 0.0857605i 0.889720 0.456506i \(-0.150899\pi\)
−0.840206 + 0.542267i \(0.817566\pi\)
\(42\) 1.69380 0.255299i 0.261358 0.0393935i
\(43\) 0.700166 7.13521i 0.106774 1.08811i −0.779960 0.625829i \(-0.784761\pi\)
0.886734 0.462280i \(-0.152968\pi\)
\(44\) 11.5256 + 12.5659i 1.73755 + 1.89438i
\(45\) 6.48495 4.75735i 0.966719 0.709184i
\(46\) 7.82097 + 1.92770i 1.15314 + 0.284223i
\(47\) −13.3807 + 1.08020i −1.95178 + 0.157564i −0.992268 0.124117i \(-0.960390\pi\)
−0.959508 + 0.281680i \(0.909108\pi\)
\(48\) −2.92903 + 10.5657i −0.422769 + 1.52502i
\(49\) 4.96389 4.82310i 0.709127 0.689014i
\(50\) 2.16363 + 3.29422i 0.305983 + 0.465873i
\(51\) −11.2739 4.65080i −1.57866 0.651242i
\(52\) −15.7348 2.74337i −2.18203 0.380436i
\(53\) −3.30141 + 1.14456i −0.453483 + 0.157218i −0.544732 0.838610i \(-0.683368\pi\)
0.0912484 + 0.995828i \(0.470914\pi\)
\(54\) −0.504479 + 0.617874i −0.0686508 + 0.0840820i
\(55\) −10.3534 + 2.93445i −1.39606 + 0.395681i
\(56\) −0.492488 1.34507i −0.0658115 0.179742i
\(57\) −1.83544 6.62085i −0.243110 0.876953i
\(58\) −12.7534 7.46133i −1.67460 0.979721i
\(59\) 8.71225 3.71194i 1.13424 0.483254i 0.258486 0.966015i \(-0.416776\pi\)
0.875752 + 0.482761i \(0.160366\pi\)
\(60\) −19.1816 17.3915i −2.47634 2.24523i
\(61\) −4.58958 + 2.14552i −0.587636 + 0.274705i −0.694412 0.719578i \(-0.744335\pi\)
0.106776 + 0.994283i \(0.465947\pi\)
\(62\) −3.96820 1.47888i −0.503962 0.187818i
\(63\) 0.0556004 0.877299i 0.00700499 0.110529i
\(64\) −7.09664 0.490775i −0.887080 0.0613468i
\(65\) 6.00919 8.09333i 0.745349 1.00385i
\(66\) 22.0573 12.9046i 2.71506 1.58844i
\(67\) −1.09190 1.06093i −0.133397 0.129613i 0.627144 0.778903i \(-0.284224\pi\)
−0.760541 + 0.649290i \(0.775066\pi\)
\(68\) −3.78400 + 19.6887i −0.458877 + 2.38760i
\(69\) 3.55415 7.27292i 0.427869 0.875556i
\(70\) 1.76547 + 0.204066i 0.211014 + 0.0243905i
\(71\) −3.32051 + 0.658007i −0.394071 + 0.0780911i −0.387459 0.921887i \(-0.626647\pi\)
−0.00661273 + 0.999978i \(0.502105\pi\)
\(72\) 14.1419 + 7.42226i 1.66664 + 0.874722i
\(73\) 10.9826 9.50640i 1.28541 1.11264i 0.297986 0.954570i \(-0.403685\pi\)
0.987428 0.158070i \(-0.0505272\pi\)
\(74\) −10.6925 + 8.42680i −1.24298 + 0.979596i
\(75\) 3.69519 1.42577i 0.426684 0.164634i
\(76\) −10.0609 + 5.13360i −1.15407 + 0.588864i
\(77\) −0.479630 + 1.07394i −0.0546590 + 0.122387i
\(78\) −9.00130 + 22.1809i −1.01920 + 2.51150i
\(79\) −1.01884 0.729536i −0.114628 0.0820792i 0.523423 0.852073i \(-0.324655\pi\)
−0.638051 + 0.769994i \(0.720259\pi\)
\(80\) −5.80084 + 9.78553i −0.648553 + 1.09406i
\(81\) −5.35618 6.71644i −0.595131 0.746271i
\(82\) −0.765524 1.36188i −0.0845379 0.150395i
\(83\) 9.91158 + 6.26770i 1.08794 + 0.687970i 0.953026 0.302888i \(-0.0979508\pi\)
0.134911 + 0.990858i \(0.456925\pi\)
\(84\) −2.80299 + 0.389550i −0.305832 + 0.0425034i
\(85\) −10.0274 7.71724i −1.08762 0.837052i
\(86\) −1.92729 + 17.5590i −0.207825 + 1.89344i
\(87\) −10.0369 + 10.9429i −1.07607 + 1.17320i
\(88\) −14.2625 15.9136i −1.52038 1.69639i
\(89\) −0.399745 4.62013i −0.0423729 0.489733i −0.986904 0.161310i \(-0.948428\pi\)
0.944531 0.328423i \(-0.106517\pi\)
\(90\) −16.1117 + 11.5367i −1.69832 + 1.21608i
\(91\) −0.257507 1.07124i −0.0269940 0.112296i
\(92\) −12.8835 3.33323i −1.34320 0.347513i
\(93\) −2.29523 + 3.58380i −0.238004 + 0.371622i
\(94\) 32.9964 2.28190i 3.40332 0.235360i
\(95\) −0.0410156 7.12832i −0.00420811 0.731350i
\(96\) 0.487229 1.68211i 0.0497276 0.171680i
\(97\) 0.527447 + 3.96231i 0.0535541 + 0.402311i 0.997408 + 0.0719489i \(0.0229218\pi\)
−0.943854 + 0.330362i \(0.892829\pi\)
\(98\) −12.3662 + 11.7418i −1.24917 + 1.18610i
\(99\) −4.08130 12.4633i −0.410186 1.25261i
\(100\) −3.51167 5.48317i −0.351167 0.548317i
\(101\) −6.52127 8.78301i −0.648891 0.873942i 0.349114 0.937080i \(-0.386483\pi\)
−0.998005 + 0.0631381i \(0.979889\pi\)
\(102\) 27.6433 + 11.7777i 2.73710 + 1.16617i
\(103\) 2.33656 + 5.07414i 0.230228 + 0.499970i 0.988360 0.152130i \(-0.0486133\pi\)
−0.758133 + 0.652100i \(0.773888\pi\)
\(104\) 19.6790 + 3.66486i 1.92969 + 0.359369i
\(105\) 0.575313 1.69082i 0.0561448 0.165007i
\(106\) 8.16606 2.72623i 0.793158 0.264795i
\(107\) 13.8769 3.42034i 1.34153 0.330657i 0.497737 0.867328i \(-0.334164\pi\)
0.843792 + 0.536671i \(0.180318\pi\)
\(108\) 0.845142 1.01113i 0.0813238 0.0972964i
\(109\) 8.66523 + 16.7436i 0.829979 + 1.60375i 0.796756 + 0.604302i \(0.206548\pi\)
0.0332230 + 0.999448i \(0.489423\pi\)
\(110\) 25.5907 6.93599i 2.43998 0.661321i
\(111\) 6.00695 + 12.2921i 0.570154 + 1.16672i
\(112\) 0.414022 + 1.17238i 0.0391214 + 0.110779i
\(113\) −0.328962 11.4314i −0.0309461 1.07537i −0.858127 0.513438i \(-0.828372\pi\)
0.827181 0.561936i \(-0.189943\pi\)
\(114\) 4.33422 + 16.3637i 0.405937 + 1.53260i
\(115\) 5.53313 6.31848i 0.515967 0.589202i
\(116\) 20.9266 + 12.5685i 1.94299 + 1.16696i
\(117\) 10.1501 + 6.92019i 0.938373 + 0.639772i
\(118\) −21.5694 + 8.89802i −1.98563 + 0.819130i
\(119\) −1.35004 + 0.299976i −0.123758 + 0.0274988i
\(120\) 23.7872 + 22.0713i 2.17147 + 2.01483i
\(121\) −0.263628 + 6.54185i −0.0239661 + 0.594714i
\(122\) 11.3681 5.15574i 1.02922 0.466779i
\(123\) −1.50027 + 0.462772i −0.135275 + 0.0417267i
\(124\) 6.52733 + 2.51854i 0.586172 + 0.226172i
\(125\) −8.68867 + 0.903108i −0.777139 + 0.0807765i
\(126\) −0.161855 + 2.15981i −0.0144192 + 0.192411i
\(127\) −5.23296 + 14.2921i −0.464350 + 1.26822i 0.460424 + 0.887699i \(0.347698\pi\)
−0.924774 + 0.380518i \(0.875746\pi\)
\(128\) 18.8799 + 1.52414i 1.66876 + 0.134717i
\(129\) 16.8383 + 5.62145i 1.48253 + 0.494941i
\(130\) −15.0342 + 19.7690i −1.31859 + 1.73386i
\(131\) 7.26731 + 1.52724i 0.634948 + 0.133436i 0.512011 0.858979i \(-0.328901\pi\)
0.122937 + 0.992415i \(0.460769\pi\)
\(132\) −36.6838 + 20.8989i −3.19291 + 1.81902i
\(133\) −0.600665 0.496215i −0.0520842 0.0430273i
\(134\) 2.66001 + 2.64475i 0.229790 + 0.228472i
\(135\) 0.330395 + 0.763258i 0.0284359 + 0.0656908i
\(136\) 5.02599 24.6189i 0.430975 2.11105i
\(137\) −21.5318 + 0.495650i −1.83959 + 0.0423462i −0.928812 0.370552i \(-0.879168\pi\)
−0.910777 + 0.412898i \(0.864516\pi\)
\(138\) −8.96249 + 17.8174i −0.762938 + 1.51672i
\(139\) 2.40165 + 1.08922i 0.203705 + 0.0923860i 0.512296 0.858809i \(-0.328795\pi\)
−0.308591 + 0.951195i \(0.599857\pi\)
\(140\) −2.91266 0.370679i −0.246165 0.0313281i
\(141\) 4.76480 32.8956i 0.401269 2.77031i
\(142\) 8.19932 1.52697i 0.688071 0.128141i
\(143\) −9.49221 13.4189i −0.793779 1.12214i
\(144\) −12.2004 6.58343i −1.01670 0.548620i
\(145\) −13.0211 + 8.23404i −1.08134 + 0.683800i
\(146\) −27.3271 + 23.1094i −2.26161 + 1.91254i
\(147\) 8.90779 + 14.6400i 0.734703 + 1.20749i
\(148\) 17.8242 13.7177i 1.46514 1.12759i
\(149\) −4.04643 + 4.11689i −0.331497 + 0.337269i −0.858708 0.512466i \(-0.828732\pi\)
0.527211 + 0.849734i \(0.323238\pi\)
\(150\) −9.14420 + 3.40789i −0.746621 + 0.278253i
\(151\) −0.271147 0.897335i −0.0220656 0.0730240i 0.945524 0.325554i \(-0.105551\pi\)
−0.967589 + 0.252530i \(0.918737\pi\)
\(152\) 12.6822 6.28824i 1.02866 0.510043i
\(153\) 8.90515 12.5890i 0.719939 1.01776i
\(154\) 1.21210 2.63225i 0.0976742 0.212112i
\(155\) −3.27115 + 2.96587i −0.262745 + 0.238224i
\(156\) 15.2918 36.4716i 1.22432 2.92007i
\(157\) 13.6462 + 16.3264i 1.08909 + 1.30299i 0.949842 + 0.312731i \(0.101244\pi\)
0.139244 + 0.990258i \(0.455533\pi\)
\(158\) 2.48941 + 1.82623i 0.198047 + 0.145287i
\(159\) −0.943948 8.60007i −0.0748599 0.682030i
\(160\) 0.944465 1.55223i 0.0746665 0.122715i
\(161\) −0.142035 0.906904i −0.0111939 0.0714741i
\(162\) 13.0055 + 16.6990i 1.02181 + 1.31200i
\(163\) 1.88920 6.00179i 0.147973 0.470097i −0.850461 0.526038i \(-0.823677\pi\)
0.998434 + 0.0559415i \(0.0178160\pi\)
\(164\) 1.23875 + 2.26437i 0.0967300 + 0.176818i
\(165\) −1.37919 26.6095i −0.107370 2.07155i
\(166\) −24.2413 15.7226i −1.88149 1.22031i
\(167\) −0.230912 + 13.3760i −0.0178685 + 1.03506i 0.846556 + 0.532300i \(0.178672\pi\)
−0.864424 + 0.502763i \(0.832317\pi\)
\(168\) 3.51828 0.447753i 0.271441 0.0345449i
\(169\) 2.29023 + 0.706443i 0.176172 + 0.0543418i
\(170\) 24.4855 + 19.2971i 1.87795 + 1.48002i
\(171\) 8.67807 0.399740i 0.663629 0.0305689i
\(172\) 3.51769 28.9707i 0.268221 2.20900i
\(173\) −7.92254 + 5.26898i −0.602340 + 0.400593i −0.817453 0.575996i \(-0.804614\pi\)
0.215113 + 0.976589i \(0.430988\pi\)
\(174\) 25.0381 26.6751i 1.89813 2.02224i
\(175\) 0.250873 0.372550i 0.0189642 0.0281622i
\(176\) 12.2202 + 13.9547i 0.921133 + 1.05188i
\(177\) 4.16028 + 23.0762i 0.312706 + 1.73451i
\(178\) 0.853851 + 11.3939i 0.0639989 + 0.854006i
\(179\) −5.44446 1.54311i −0.406938 0.115337i 0.0630496 0.998010i \(-0.479917\pi\)
−0.469987 + 0.882673i \(0.655742\pi\)
\(180\) 26.8358 18.7523i 2.00022 1.39771i
\(181\) −4.88679 23.9371i −0.363232 1.77923i −0.592196 0.805794i \(-0.701739\pi\)
0.228964 0.973435i \(-0.426466\pi\)
\(182\) 0.604042 + 2.64648i 0.0447746 + 0.196170i
\(183\) −2.65046 12.2612i −0.195928 0.906371i
\(184\) 16.0973 + 4.36295i 1.18671 + 0.321641i
\(185\) 2.67911 + 13.9398i 0.196972 + 1.02487i
\(186\) 5.75631 8.76425i 0.422073 0.642626i
\(187\) −17.0471 + 11.6225i −1.24661 + 0.849924i
\(188\) −54.5532 + 3.14237i −3.97870 + 0.229181i
\(189\) 0.0871666 + 0.0257926i 0.00634044 + 0.00187614i
\(190\) −0.101056 + 17.5631i −0.00733138 + 1.27416i
\(191\) 0.373024 + 5.88581i 0.0269910 + 0.425882i 0.988511 + 0.151148i \(0.0482969\pi\)
−0.961520 + 0.274734i \(0.911410\pi\)
\(192\) 5.09474 16.8606i 0.367681 1.21681i
\(193\) 1.18260 + 7.02141i 0.0851251 + 0.505412i 0.995744 + 0.0921643i \(0.0293785\pi\)
−0.910619 + 0.413248i \(0.864394\pi\)
\(194\) −1.18712 9.77681i −0.0852302 0.701934i
\(195\) 16.2261 + 18.9651i 1.16197 + 1.35812i
\(196\) 20.6521 19.1623i 1.47515 1.36874i
\(197\) 2.07365 3.00420i 0.147741 0.214040i −0.742125 0.670261i \(-0.766182\pi\)
0.889866 + 0.456221i \(0.150797\pi\)
\(198\) 9.70166 + 30.8213i 0.689467 + 2.19037i
\(199\) −15.6576 + 16.3013i −1.10994 + 1.15557i −0.123345 + 0.992364i \(0.539362\pi\)
−0.986592 + 0.163203i \(0.947817\pi\)
\(200\) 4.32168 + 6.92205i 0.305589 + 0.489463i
\(201\) 3.16264 2.05126i 0.223076 0.144685i
\(202\) 15.8173 + 21.8234i 1.11290 + 1.53549i
\(203\) −0.222188 + 1.66913i −0.0155945 + 0.117150i
\(204\) −45.4427 19.9823i −3.18163 1.39904i
\(205\) −1.62798 + 0.0562251i −0.113703 + 0.00392693i
\(206\) −5.61266 12.5673i −0.391053 0.875606i
\(207\) 7.96547 + 6.42758i 0.553639 + 0.446748i
\(208\) −17.0439 3.37750i −1.18178 0.234187i
\(209\) −11.0670 3.55369i −0.765519 0.245814i
\(210\) −1.46533 + 4.14933i −0.101117 + 0.286331i
\(211\) −7.62509 + 0.881364i −0.524933 + 0.0606756i −0.373209 0.927747i \(-0.621743\pi\)
−0.151724 + 0.988423i \(0.548482\pi\)
\(212\) −13.5421 + 4.34847i −0.930076 + 0.298654i
\(213\) 0.241097 8.37810i 0.0165197 0.574058i
\(214\) −34.2852 + 8.03319i −2.34369 + 0.549138i
\(215\) 15.3362 + 10.1995i 1.04592 + 0.695602i
\(216\) −1.07370 + 1.25495i −0.0730560 + 0.0853882i
\(217\) 0.0194325 + 0.482213i 0.00131917 + 0.0327348i
\(218\) −20.8736 41.4966i −1.41374 2.81051i
\(219\) 16.8970 + 31.7492i 1.14179 + 2.14541i
\(220\) −42.4076 + 10.9717i −2.85912 + 0.739712i
\(221\) 6.01455 18.3669i 0.404582 1.23549i
\(222\) −14.4507 30.4542i −0.969866 2.04395i
\(223\) 9.92683 + 13.0532i 0.664750 + 0.874104i 0.997626 0.0688670i \(-0.0219384\pi\)
−0.332876 + 0.942971i \(0.608019\pi\)
\(224\) −0.0639705 0.188007i −0.00427421 0.0125617i
\(225\) 0.717900 + 4.95629i 0.0478600 + 0.330420i
\(226\) 0.486349 + 28.1726i 0.0323515 + 1.87401i
\(227\) −13.0189 + 20.8524i −0.864097 + 1.38402i 0.0585117 + 0.998287i \(0.481365\pi\)
−0.922608 + 0.385738i \(0.873947\pi\)
\(228\) −6.84901 27.1151i −0.453587 1.79574i
\(229\) −1.74134 17.7456i −0.115071 1.17266i −0.861699 0.507420i \(-0.830599\pi\)
0.746628 0.665242i \(-0.231672\pi\)
\(230\) −13.8110 + 15.4098i −0.910670 + 1.01609i
\(231\) −2.32818 1.74952i −0.153183 0.115110i
\(232\) −26.0436 16.0525i −1.70985 1.05390i
\(233\) −12.4657 15.2677i −0.816653 1.00022i −0.999853 0.0171424i \(-0.994543\pi\)
0.183200 0.983076i \(-0.441354\pi\)
\(234\) −24.8103 17.3369i −1.62190 1.13335i
\(235\) 13.6999 31.6486i 0.893681 2.06452i
\(236\) 35.8017 14.2894i 2.33049 0.930162i
\(237\) 2.32242 2.05748i 0.150857 0.133648i
\(238\) 3.33457 0.700768i 0.216148 0.0454241i
\(239\) −3.42862 + 7.22567i −0.221779 + 0.467389i −0.983592 0.180408i \(-0.942258\pi\)
0.761813 + 0.647797i \(0.224310\pi\)
\(240\) −20.4258 19.3945i −1.31848 1.25191i
\(241\) −3.54806 + 4.89532i −0.228551 + 0.315335i −0.908469 0.417953i \(-0.862748\pi\)
0.679918 + 0.733288i \(0.262015\pi\)
\(242\) 0.834971 16.1095i 0.0536740 1.03556i
\(243\) 20.0393 9.65044i 1.28552 0.619076i
\(244\) −18.8780 + 8.30113i −1.20854 + 0.531425i
\(245\) 4.94678 + 17.0783i 0.316038 + 1.09109i
\(246\) 3.70930 1.09758i 0.236496 0.0699795i
\(247\) 10.2456 3.68465i 0.651912 0.234449i
\(248\) −8.14361 3.25033i −0.517120 0.206396i
\(249\) −20.5909 + 20.4728i −1.30490 + 1.29741i
\(250\) 21.4317 1.97862i 1.35546 0.125139i
\(251\) 8.71237 6.54692i 0.549920 0.413238i −0.289132 0.957289i \(-0.593367\pi\)
0.839052 + 0.544051i \(0.183110\pi\)
\(252\) 0.308445 3.56491i 0.0194302 0.224568i
\(253\) −6.98346 11.7805i −0.439046 0.740635i
\(254\) 13.2975 35.0628i 0.834362 2.20003i
\(255\) 24.1539 19.9538i 1.51257 1.24955i
\(256\) −32.3039 2.98237i −2.01899 0.186398i
\(257\) −6.63685 + 4.09074i −0.413995 + 0.255173i −0.715954 0.698148i \(-0.754008\pi\)
0.301959 + 0.953321i \(0.402360\pi\)
\(258\) −41.3248 14.3269i −2.57277 0.891952i
\(259\) 1.35680 + 0.752425i 0.0843072 + 0.0467534i
\(260\) 25.2122 32.3725i 1.56360 2.00765i
\(261\) −10.6655 15.4516i −0.660176 0.956431i
\(262\) −17.8610 3.96868i −1.10346 0.245186i
\(263\) −17.7709 + 3.09836i −1.09580 + 0.191053i −0.690644 0.723195i \(-0.742673\pi\)
−0.405156 + 0.914248i \(0.632783\pi\)
\(264\) 46.2729 25.6611i 2.84790 1.57933i
\(265\) 1.38892 8.86836i 0.0853208 0.544779i
\(266\) 1.46578 + 1.23955i 0.0898725 + 0.0760014i
\(267\) 11.3730 + 1.58059i 0.696019 + 0.0967303i
\(268\) −4.34404 4.41968i −0.265354 0.269975i
\(269\) −22.3147 10.4316i −1.36055 0.636026i −0.400618 0.916245i \(-0.631204\pi\)
−0.959936 + 0.280219i \(0.909593\pi\)
\(270\) −0.792348 1.88979i −0.0482208 0.115009i
\(271\) −10.6945 + 20.6647i −0.649643 + 1.25529i 0.303518 + 0.952826i \(0.401839\pi\)
−0.953160 + 0.302465i \(0.902190\pi\)
\(272\) −4.60823 + 21.3179i −0.279415 + 1.29259i
\(273\) 2.72779 0.0313919i 0.165094 0.00189993i
\(274\) 53.0616 0.610642i 3.20557 0.0368902i
\(275\) 1.41577 6.54943i 0.0853744 0.394945i
\(276\) 15.1447 29.2638i 0.911604 1.76147i
\(277\) −5.75672 13.7301i −0.345888 0.824960i −0.997777 0.0666454i \(-0.978770\pi\)
0.651889 0.758315i \(-0.273977\pi\)
\(278\) −5.88602 2.75157i −0.353020 0.165028i
\(279\) −3.77203 3.83771i −0.225825 0.229758i
\(280\) 3.64475 + 0.506535i 0.217815 + 0.0302712i
\(281\) 16.1490 + 13.6565i 0.963366 + 0.814677i 0.982713 0.185135i \(-0.0592724\pi\)
−0.0193473 + 0.999813i \(0.506159\pi\)
\(282\) −12.6716 + 80.9091i −0.754584 + 4.81807i
\(283\) −17.5698 + 9.74351i −1.04442 + 0.579192i −0.911230 0.411899i \(-0.864866\pi\)
−0.133188 + 0.991091i \(0.542521\pi\)
\(284\) −13.5743 + 2.36667i −0.805484 + 0.140436i
\(285\) 17.2301 + 3.82848i 1.02062 + 0.226780i
\(286\) 23.0053 + 33.3290i 1.36033 + 1.97078i
\(287\) −0.109397 + 0.140465i −0.00645750 + 0.00829142i
\(288\) 1.93648 + 1.07390i 0.114108 + 0.0632799i
\(289\) −6.85915 2.37799i −0.403480 0.139882i
\(290\) 32.3133 19.9169i 1.89750 1.16956i
\(291\) −9.85544 0.909877i −0.577736 0.0533379i
\(292\) 45.5835 37.6570i 2.66757 2.20371i
\(293\) 6.32575 16.6796i 0.369554 0.974434i −0.613267 0.789875i \(-0.710145\pi\)
0.982821 0.184559i \(-0.0590856\pi\)
\(294\) −21.5309 36.3208i −1.25571 2.11827i
\(295\) −2.09711 + 24.2377i −0.122098 + 1.41118i
\(296\) −22.5348 + 16.9338i −1.30981 + 0.984255i
\(297\) 1.35041 0.124673i 0.0783590 0.00723428i
\(298\) 10.0858 10.0280i 0.584257 0.580905i
\(299\) 11.9143 + 4.75533i 0.689024 + 0.275008i
\(300\) 15.1709 5.45596i 0.875895 0.315000i
\(301\) 1.93033 0.571185i 0.111262 0.0329225i
\(302\) 0.642577 + 2.21843i 0.0369761 + 0.127656i
\(303\) 24.7948 10.9029i 1.42443 0.626355i
\(304\) −11.0704 + 5.33122i −0.634931 + 0.305766i
\(305\) 0.673685 12.9978i 0.0385751 0.744250i
\(306\) −22.2964 + 30.7627i −1.27460 + 1.75859i
\(307\) 13.9486 + 13.2443i 0.796088 + 0.755895i 0.973609 0.228222i \(-0.0732912\pi\)
−0.177521 + 0.984117i \(0.556808\pi\)
\(308\) −2.05243 + 4.32541i −0.116948 + 0.246463i
\(309\) −13.5361 + 2.84465i −0.770044 + 0.161826i
\(310\) 8.14316 7.21421i 0.462500 0.409739i
\(311\) −31.5836 + 12.6058i −1.79094 + 0.714811i −0.797119 + 0.603822i \(0.793644\pi\)
−0.993822 + 0.110989i \(0.964598\pi\)
\(312\) −19.6894 + 45.4851i −1.11469 + 2.57508i
\(313\) 9.58937 + 6.70085i 0.542023 + 0.378754i 0.811590 0.584227i \(-0.198602\pi\)
−0.269567 + 0.962982i \(0.586881\pi\)
\(314\) −33.1570 40.6099i −1.87116 2.29175i
\(315\) 1.92244 + 1.18493i 0.108317 + 0.0667632i
\(316\) −4.07777 3.06425i −0.229393 0.172377i
\(317\) 6.95800 7.76350i 0.390800 0.436042i −0.516653 0.856195i \(-0.672822\pi\)
0.907453 + 0.420153i \(0.138024\pi\)
\(318\) 2.08175 + 21.2146i 0.116739 + 1.18966i
\(319\) 6.15209 + 24.3560i 0.344451 + 1.36368i
\(320\) 9.67813 15.5015i 0.541024 0.866558i
\(321\) 0.610819 + 35.3827i 0.0340926 + 1.97487i
\(322\) 0.324216 + 2.23835i 0.0180679 + 0.124738i
\(323\) −4.40246 12.9387i −0.244960 0.719926i
\(324\) −21.1675 27.8339i −1.17597 1.54633i
\(325\) 2.69077 + 5.67068i 0.149257 + 0.314553i
\(326\) −4.82454 + 14.7329i −0.267206 + 0.815982i
\(327\) −45.1927 + 11.6922i −2.49916 + 0.646583i
\(328\) −1.51972 2.85554i −0.0839126 0.157671i
\(329\) −1.69380 3.36727i −0.0933825 0.185644i
\(330\) 2.64345 + 65.5965i 0.145517 + 3.61097i
\(331\) −7.09674 + 8.29471i −0.390072 + 0.455919i −0.919880 0.392199i \(-0.871714\pi\)
0.529808 + 0.848118i \(0.322264\pi\)
\(332\) 39.7475 + 26.4345i 2.18143 + 1.45078i
\(333\) −16.8429 + 3.94637i −0.922983 + 0.216260i
\(334\) 0.948135 32.9475i 0.0518796 1.80281i
\(335\) 3.72383 1.19575i 0.203454 0.0653307i
\(336\) −3.05818 + 0.353486i −0.166837 + 0.0192843i
\(337\) 5.24086 14.8404i 0.285488 0.808409i −0.709157 0.705051i \(-0.750924\pi\)
0.994644 0.103358i \(-0.0329587\pi\)
\(338\) −5.62237 1.80538i −0.305817 0.0981999i
\(339\) 27.7761 + 5.50424i 1.50859 + 0.298950i
\(340\) −40.0830 32.3442i −2.17381 1.75411i
\(341\) 2.93602 + 6.57405i 0.158995 + 0.356005i
\(342\) −21.3913 + 0.738786i −1.15671 + 0.0399490i
\(343\) 3.57816 + 1.57340i 0.193202 + 0.0849558i
\(344\) −4.82611 + 36.2549i −0.260206 + 1.95473i
\(345\) 12.2040 + 16.8380i 0.657039 + 0.906528i
\(346\) 19.6680 12.7565i 1.05736 0.685792i
\(347\) 12.8892 + 20.6447i 0.691931 + 1.10827i 0.988201 + 0.153162i \(0.0489457\pi\)
−0.296270 + 0.955104i \(0.595743\pi\)
\(348\) −41.8698 + 43.5911i −2.24446 + 2.33673i
\(349\) 2.63091 + 8.35816i 0.140829 + 0.447402i 0.997673 0.0681739i \(-0.0217173\pi\)
−0.856844 + 0.515576i \(0.827578\pi\)
\(350\) −0.628633 + 0.910732i −0.0336019 + 0.0486807i
\(351\) −0.931227 + 0.864052i −0.0497052 + 0.0461197i
\(352\) −1.92610 2.25123i −0.102661 0.119991i
\(353\) 3.58786 + 29.5487i 0.190962 + 1.57272i 0.701378 + 0.712790i \(0.252569\pi\)
−0.510415 + 0.859928i \(0.670508\pi\)
\(354\) −9.59533 56.9702i −0.509986 3.02793i
\(355\) 2.51538 8.32443i 0.133503 0.441815i
\(356\) −1.19394 18.8388i −0.0632789 0.998455i
\(357\) 0.0197026 3.42422i 0.00104277 0.181229i
\(358\) 13.3696 + 3.95609i 0.706608 + 0.209086i
\(359\) 24.6245 1.41842i 1.29963 0.0748613i 0.606159 0.795344i \(-0.292710\pi\)
0.693473 + 0.720482i \(0.256080\pi\)
\(360\) −33.9006 + 23.1130i −1.78672 + 1.21816i
\(361\) −6.20362 + 9.44529i −0.326506 + 0.497121i
\(362\) 11.3608 + 59.1119i 0.597111 + 3.10685i
\(363\) −15.6465 4.24075i −0.821228 0.222581i
\(364\) −0.947560 4.38345i −0.0496657 0.229755i
\(365\) 8.30348 + 36.3799i 0.434624 + 1.90421i
\(366\) 6.18226 + 30.2827i 0.323152 + 1.58290i
\(367\) 19.1024 13.3484i 0.997138 0.696779i 0.0439111 0.999035i \(-0.486018\pi\)
0.953227 + 0.302256i \(0.0977398\pi\)
\(368\) −13.9282 3.94762i −0.726056 0.205784i
\(369\) −0.148352 1.97962i −0.00772288 0.103055i
\(370\) −6.20524 34.4191i −0.322595 1.78936i
\(371\) −0.646356 0.738098i −0.0335571 0.0383201i
\(372\) −9.67601 + 14.3690i −0.501678 + 0.745000i
\(373\) 14.5124 15.4613i 0.751424 0.800554i −0.233717 0.972305i \(-0.575089\pi\)
0.985140 + 0.171750i \(0.0549423\pi\)
\(374\) 42.3282 28.1509i 2.18874 1.45565i
\(375\) 2.60713 21.4717i 0.134632 1.10879i
\(376\) 68.4104 3.15120i 3.52800 0.162511i
\(377\) −18.4817 14.5655i −0.951856 0.750161i
\(378\) −0.214019 0.0660162i −0.0110080 0.00339551i
\(379\) −8.91078 + 1.13403i −0.457716 + 0.0582512i −0.351699 0.936113i \(-0.614396\pi\)
−0.106017 + 0.994364i \(0.533810\pi\)
\(380\) 0.500843 29.0121i 0.0256927 1.48829i
\(381\) −31.6173 20.5066i −1.61980 1.05059i
\(382\) −0.752134 14.5113i −0.0384825 0.742464i
\(383\) −10.0194 18.3150i −0.511968 0.935853i −0.998079 0.0619555i \(-0.980266\pi\)
0.486111 0.873897i \(-0.338415\pi\)
\(384\) −14.0815 + 44.7355i −0.718592 + 2.28290i
\(385\) −1.85661 2.38388i −0.0946214 0.121494i
\(386\) −2.71446 17.3320i −0.138163 0.882177i
\(387\) −11.6673 + 19.1753i −0.593083 + 0.974733i
\(388\) 1.77524 + 16.1738i 0.0901243 + 0.821100i
\(389\) 7.60518 + 5.57915i 0.385598 + 0.282874i 0.767143 0.641476i \(-0.221678\pi\)
−0.381545 + 0.924350i \(0.624608\pi\)
\(390\) −39.4381 47.1840i −1.99703 2.38926i
\(391\) 6.22635 14.8502i 0.314880 0.751005i
\(392\) −26.1572 + 23.7160i −1.32114 + 1.19784i
\(393\) −7.69076 + 16.7015i −0.387947 + 0.842479i
\(394\) −5.19398 + 7.34259i −0.261669 + 0.369914i
\(395\) 2.88411 1.43003i 0.145115 0.0719527i
\(396\) −15.4411 51.1010i −0.775946 2.56792i
\(397\) 31.0396 11.5679i 1.55783 0.580577i 0.584786 0.811188i \(-0.301179\pi\)
0.973046 + 0.230611i \(0.0740723\pi\)
\(398\) 39.0375 39.7172i 1.95677 1.99084i
\(399\) 1.52879 1.17658i 0.0765352 0.0589026i
\(400\) −3.68188 6.05118i −0.184094 0.302559i
\(401\) 20.5782 17.4021i 1.02763 0.869020i 0.0361555 0.999346i \(-0.488489\pi\)
0.991471 + 0.130326i \(0.0416024\pi\)
\(402\) −7.84989 + 4.96397i −0.391517 + 0.247580i
\(403\) −5.93531 3.20274i −0.295659 0.159540i
\(404\) −25.7152 36.3529i −1.27938 1.80862i
\(405\) 21.6961 4.04051i 1.07809 0.200774i
\(406\) 0.594723 4.10589i 0.0295156 0.203772i
\(407\) 22.9608 + 2.92210i 1.13812 + 0.144843i
\(408\) 56.6598 + 25.6968i 2.80508 + 1.27218i
\(409\) 13.4640 26.7663i 0.665751 1.32351i −0.267248 0.963628i \(-0.586114\pi\)
0.932999 0.359880i \(-0.117182\pi\)
\(410\) 4.01242 0.0923634i 0.198159 0.00456150i
\(411\) 10.6669 52.2500i 0.526160 2.57730i
\(412\) 9.03316 + 20.8678i 0.445032 + 1.02808i
\(413\) 1.88561 + 1.87479i 0.0927849 + 0.0922526i
\(414\) −19.4421 16.0613i −0.955529 0.789372i
\(415\) −26.1765 + 14.9129i −1.28495 + 0.732043i
\(416\) 2.71595 + 0.570763i 0.133160 + 0.0279839i
\(417\) −3.95256 + 5.19736i −0.193557 + 0.254516i
\(418\) 27.1647 + 9.06892i 1.32867 + 0.443575i
\(419\) −30.7270 2.48054i −1.50111 0.121182i −0.697606 0.716481i \(-0.745751\pi\)
−0.803504 + 0.595299i \(0.797034\pi\)
\(420\) 2.49959 6.82681i 0.121968 0.333114i
\(421\) −2.41224 + 32.1891i −0.117565 + 1.56880i 0.556954 + 0.830544i \(0.311970\pi\)
−0.674519 + 0.738257i \(0.735649\pi\)
\(422\) 18.8108 1.95521i 0.915694 0.0951781i
\(423\) 39.2104 + 15.1292i 1.90648 + 0.735606i
\(424\) 17.0334 5.25412i 0.827217 0.255163i
\(425\) 7.17533 3.25421i 0.348055 0.157852i
\(426\) −0.831526 + 20.6341i −0.0402876 + 0.999726i
\(427\) −1.04279 0.967565i −0.0504640 0.0468238i
\(428\) 56.7916 12.6190i 2.74513 0.609961i
\(429\) 37.6225 15.5204i 1.81643 0.749332i
\(430\) −37.4943 25.5632i −1.80814 1.23277i
\(431\) 8.46241 + 5.08252i 0.407620 + 0.244817i 0.703921 0.710278i \(-0.251431\pi\)
−0.296301 + 0.955095i \(0.595753\pi\)
\(432\) 0.944456 1.07851i 0.0454402 0.0518898i
\(433\) −6.58501 24.8615i −0.316456 1.19477i −0.918213 0.396087i \(-0.870368\pi\)
0.601757 0.798679i \(-0.294467\pi\)
\(434\) −0.0342036 1.18857i −0.00164183 0.0570532i
\(435\) −12.7024 35.9691i −0.609033 1.72458i
\(436\) 33.6942 + 68.9490i 1.61366 + 3.30206i
\(437\) 8.75581 2.37313i 0.418847 0.113522i
\(438\) −40.7286 78.6989i −1.94609 3.76038i
\(439\) −14.2144 + 17.0062i −0.678415 + 0.811660i −0.990371 0.138437i \(-0.955792\pi\)
0.311956 + 0.950096i \(0.399016\pi\)
\(440\) 53.3027 13.1379i 2.54111 0.626326i
\(441\) −20.5533 + 6.86170i −0.978729 + 0.326748i
\(442\) −15.3387 + 45.0797i −0.729586 + 2.14422i
\(443\) 2.23888 + 0.416951i 0.106372 + 0.0198100i 0.236002 0.971753i \(-0.424163\pi\)
−0.129630 + 0.991562i \(0.541379\pi\)
\(444\) 23.2935 + 50.5848i 1.10546 + 2.40065i
\(445\) 10.9600 + 4.66963i 0.519555 + 0.221362i
\(446\) −24.0865 32.4402i −1.14053 1.53609i
\(447\) −7.70853 12.0362i −0.364601 0.569293i
\(448\) −0.621591 1.89818i −0.0293674 0.0896808i
\(449\) −6.40079 + 6.07763i −0.302072 + 0.286821i −0.824499 0.565863i \(-0.808543\pi\)
0.522427 + 0.852684i \(0.325027\pi\)
\(450\) −1.62815 12.2311i −0.0767519 0.576578i
\(451\) −0.738986 + 2.55128i −0.0347975 + 0.120135i
\(452\) −0.267845 46.5502i −0.0125984 2.18954i
\(453\) 2.31552 0.160132i 0.108793 0.00752365i
\(454\) 32.6657 51.0046i 1.53308 2.39376i
\(455\) 2.74015 + 0.708930i 0.128460 + 0.0332352i
\(456\) 8.19200 + 34.0790i 0.383626 + 1.59589i
\(457\) −23.8162 + 17.0535i −1.11408 + 0.797730i −0.981121 0.193392i \(-0.938051\pi\)
−0.132955 + 0.991122i \(0.542447\pi\)
\(458\) 3.78698 + 43.7688i 0.176954 + 2.04518i
\(459\) 1.06426 + 1.18746i 0.0496754 + 0.0554261i
\(460\) 23.1086 25.1944i 1.07745 1.17469i
\(461\) −3.94797 + 35.9689i −0.183875 + 1.67524i 0.443309 + 0.896369i \(0.353805\pi\)
−0.627184 + 0.778871i \(0.715792\pi\)
\(462\) 5.68629 + 4.37626i 0.264550 + 0.203602i
\(463\) 9.37571 1.30300i 0.435726 0.0605557i 0.0835807 0.996501i \(-0.473364\pi\)
0.352145 + 0.935945i \(0.385452\pi\)
\(464\) 22.4443 + 14.1929i 1.04195 + 0.658890i
\(465\) −5.35717 9.53052i −0.248433 0.441967i
\(466\) 30.2785 + 37.9681i 1.40263 + 1.75884i
\(467\) −14.6896 + 24.7802i −0.679756 + 1.14669i 0.301404 + 0.953496i \(0.402545\pi\)
−0.981160 + 0.193196i \(0.938115\pi\)
\(468\) 40.6568 + 29.1121i 1.87936 + 1.34571i
\(469\) 0.160742 0.396100i 0.00742238 0.0182902i
\(470\) −34.6494 + 77.5835i −1.59826 + 3.57866i
\(471\) −46.9299 + 23.9460i −2.16241 + 1.10337i
\(472\) −45.0722 + 17.3909i −2.07461 + 0.800481i
\(473\) 23.5877 18.5895i 1.08456 0.854747i
\(474\) −5.78003 + 5.00313i −0.265485 + 0.229801i
\(475\) 3.93024 + 2.06275i 0.180332 + 0.0946454i
\(476\) −5.52202 + 1.09427i −0.253101 + 0.0501558i
\(477\) 10.8671 + 1.25610i 0.497569 + 0.0575127i
\(478\) 8.65189 17.7045i 0.395728 0.809786i
\(479\) −4.40456 + 22.9175i −0.201250 + 1.04713i 0.730193 + 0.683241i \(0.239430\pi\)
−0.931443 + 0.363888i \(0.881449\pi\)
\(480\) 3.22665 + 3.13513i 0.147276 + 0.143098i
\(481\) −18.7139 + 10.9485i −0.853281 + 0.499210i
\(482\) 8.88007 11.9599i 0.404476 0.544759i
\(483\) 2.26748 + 0.156810i 0.103174 + 0.00713510i
\(484\) −1.68563 + 26.5970i −0.0766197 + 1.20895i
\(485\) −9.62233 3.58608i −0.436927 0.162835i
\(486\) −49.6441 + 23.2074i −2.25190 + 1.05271i
\(487\) 2.92187 + 2.64919i 0.132403 + 0.120046i 0.735206 0.677843i \(-0.237085\pi\)
−0.602804 + 0.797890i \(0.705950\pi\)
\(488\) 23.7773 10.1306i 1.07635 0.458589i
\(489\) 13.4472 + 7.86724i 0.608103 + 0.355769i
\(490\) −11.7031 42.2157i −0.528691 1.90711i
\(491\) −3.19844 8.73546i −0.144343 0.394226i 0.845942 0.533275i \(-0.179039\pi\)
−0.990286 + 0.139049i \(0.955596\pi\)
\(492\) −6.14861 + 1.74268i −0.277201 + 0.0785663i
\(493\) −18.6810 + 22.8800i −0.841348 + 1.03046i
\(494\) −25.3463 + 8.78731i −1.14039 + 0.395360i
\(495\) 33.1901 + 5.78670i 1.49179 + 0.260093i
\(496\) 7.03581 + 2.90248i 0.315917 + 0.130325i
\(497\) −0.521783 0.794438i −0.0234052 0.0356354i
\(498\) 51.3099 49.8546i 2.29925 2.23404i
\(499\) 6.90577 24.9107i 0.309145 1.11516i −0.631392 0.775464i \(-0.717516\pi\)
0.940537 0.339692i \(-0.110323\pi\)
\(500\) −35.4427 + 2.86123i −1.58504 + 0.127958i
\(501\) −32.1618 7.92716i −1.43688 0.354159i
\(502\) −21.6501 + 15.8825i −0.966292 + 0.708871i
\(503\) −11.6678 12.7209i −0.520240 0.567196i 0.420080 0.907487i \(-0.362002\pi\)
−0.940320 + 0.340291i \(0.889475\pi\)
\(504\) −0.437950 + 4.46303i −0.0195078 + 0.198799i
\(505\) 27.7889 4.18850i 1.23659 0.186386i
\(506\) 16.8710 + 29.2214i 0.750007 + 1.29905i
\(507\) −2.96717 + 5.13929i −0.131777 + 0.228244i
\(508\) −22.6341 + 57.6706i −1.00422 + 2.55872i
\(509\) 16.3329 8.57218i 0.723944 0.379955i −0.0621461 0.998067i \(-0.519794\pi\)
0.786090 + 0.618112i \(0.212102\pi\)
\(510\) −60.0732 + 48.4748i −2.66008 + 2.14650i
\(511\) 3.63289 + 1.85368i 0.160710 + 0.0820022i
\(512\) 41.8223 + 4.34704i 1.84830 + 0.192114i
\(513\) −0.159388 + 0.884089i −0.00703715 + 0.0390335i
\(514\) 16.4670 9.89010i 0.726330 0.436234i
\(515\) −14.3272 0.825276i −0.631333 0.0363660i
\(516\) 67.9960 + 24.4535i 2.99336 + 1.07651i
\(517\) −42.0912 37.2895i −1.85117 1.63999i
\(518\) −3.32138 1.89220i −0.145933 0.0831386i
\(519\) −8.35401 22.0277i −0.366700 0.966909i
\(520\) −32.0624 + 40.2050i −1.40603 + 1.76310i
\(521\) 31.3855 + 5.10063i 1.37502 + 0.223463i 0.802610 0.596504i \(-0.203444\pi\)
0.572411 + 0.819967i \(0.306008\pi\)
\(522\) 25.8382 + 38.3702i 1.13091 + 1.67942i
\(523\) −7.03912 + 26.5759i −0.307799 + 1.16208i 0.618651 + 0.785666i \(0.287680\pi\)
−0.926450 + 0.376419i \(0.877155\pi\)
\(524\) 29.4308 + 6.89579i 1.28569 + 0.301244i
\(525\) 0.761097 + 0.810860i 0.0332170 + 0.0353888i
\(526\) 43.8696 7.12951i 1.91281 0.310861i
\(527\) −4.14822 + 7.37976i −0.180699 + 0.321468i
\(528\) −40.4190 + 21.8104i −1.75901 + 0.949177i
\(529\) −11.0303 5.46914i −0.479576 0.237789i
\(530\) −3.67330 + 21.8094i −0.159558 + 0.947340i
\(531\) −29.6170 1.36425i −1.28527 0.0592035i
\(532\) −2.39789 2.07559i −0.103962 0.0899881i
\(533\) −0.908994 2.31608i −0.0393729 0.100320i
\(534\) −27.9747 4.21651i −1.21058 0.182466i
\(535\) −8.99174 + 35.5982i −0.388747 + 1.53904i
\(536\) 5.38013 + 5.60131i 0.232386 + 0.241940i
\(537\) 6.72473 12.2925i 0.290193 0.530460i
\(538\) 54.6806 + 26.3328i 2.35745 + 1.13529i
\(539\) 28.9750 + 1.00070i 1.24804 + 0.0431033i
\(540\) 1.27303 + 3.13698i 0.0547823 + 0.134994i
\(541\) 8.73638 36.3436i 0.375606 1.56253i −0.390985 0.920397i \(-0.627866\pi\)
0.766591 0.642135i \(-0.221951\pi\)
\(542\) 26.9337 50.6080i 1.15690 2.17380i
\(543\) 60.4755 + 1.39211i 2.59525 + 0.0597412i
\(544\) 0.775185 3.39631i 0.0332358 0.145615i
\(545\) −48.4296 0.557337i −2.07450 0.0238737i
\(546\) −6.72130 −0.287645
\(547\) 14.3708 18.4521i 0.614452 0.788954i
\(548\) −87.6690 −3.74504
\(549\) 15.8603 + 0.182523i 0.676902 + 0.00778990i
\(550\) −3.67371 + 16.0956i −0.156647 + 0.686317i
\(551\) −16.6362 0.382955i −0.708725 0.0163144i
\(552\) −19.4011 + 36.4544i −0.825766 + 1.55160i
\(553\) 0.0822356 0.342102i 0.00349701 0.0145477i
\(554\) 13.7934 + 33.9897i 0.586027 + 1.44408i
\(555\) −35.1261 1.21314i −1.49102 0.0514949i
\(556\) 9.67136 + 4.65748i 0.410157 + 0.197521i
\(557\) −3.68249 + 6.73142i −0.156032 + 0.285220i −0.943650 0.330944i \(-0.892633\pi\)
0.787618 + 0.616164i \(0.211314\pi\)
\(558\) 9.18426 + 9.56183i 0.388801 + 0.404785i
\(559\) −6.88949 + 27.2754i −0.291395 + 1.15363i
\(560\) −3.15841 0.476054i −0.133467 0.0201170i
\(561\) −18.6638 47.5547i −0.787988 2.00776i
\(562\) −39.3987 34.1031i −1.66193 1.43855i
\(563\) −0.298279 0.0137397i −0.0125710 0.000579059i 0.0397280 0.999211i \(-0.487351\pi\)
−0.0522990 + 0.998631i \(0.516655\pi\)
\(564\) 22.4716 133.420i 0.946226 5.61801i
\(565\) 26.3212 + 13.0508i 1.10734 + 0.549053i
\(566\) 43.5627 23.5068i 1.83108 0.988063i
\(567\) 1.18193 2.10268i 0.0496365 0.0883042i
\(568\) 17.0451 2.77010i 0.715198 0.116231i
\(569\) 13.0208 + 13.8721i 0.545861 + 0.581551i 0.941567 0.336827i \(-0.109354\pi\)
−0.395706 + 0.918377i \(0.629500\pi\)
\(570\) −42.3408 9.92066i −1.77346 0.415531i
\(571\) −10.2866 + 38.8367i −0.430481 + 1.62526i 0.308279 + 0.951296i \(0.400247\pi\)
−0.738760 + 0.673969i \(0.764588\pi\)
\(572\) −37.3710 55.4966i −1.56256 2.32043i
\(573\) −14.4136 2.34244i −0.602137 0.0978568i
\(574\) 0.273502 0.342960i 0.0114157 0.0143149i
\(575\) 1.85445 + 4.88979i 0.0773361 + 0.203918i
\(576\) 19.3509 + 11.0243i 0.806288 + 0.459345i
\(577\) 14.0461 + 12.4437i 0.584745 + 0.518039i 0.902815 0.430028i \(-0.141496\pi\)
−0.318070 + 0.948067i \(0.603035\pi\)
\(578\) 16.8313 + 6.05309i 0.700091 + 0.251775i
\(579\) −17.6009 1.01385i −0.731470 0.0421341i
\(580\) −53.7600 + 32.2882i −2.23226 + 1.34070i
\(581\) −0.584213 + 3.24050i −0.0242372 + 0.134439i
\(582\) 24.2549 + 2.52107i 1.00540 + 0.104502i
\(583\) −13.0377 6.65252i −0.539968 0.275519i
\(584\) −57.6675 + 46.5336i −2.38630 + 1.92558i
\(585\) −27.9440 + 14.6662i −1.15534 + 0.606371i
\(586\) −16.0575 + 40.9139i −0.663330 + 1.69014i
\(587\) 8.34768 14.4586i 0.344546 0.596771i −0.640725 0.767770i \(-0.721366\pi\)
0.985271 + 0.171000i \(0.0546997\pi\)
\(588\) 34.8784 + 60.4111i 1.43836 + 2.49131i
\(589\) −4.71606 + 0.710831i −0.194322 + 0.0292893i
\(590\) 5.85380 59.6546i 0.240997 2.45594i
\(591\) 6.10948 + 6.66092i 0.251311 + 0.273993i
\(592\) 19.7283 14.4726i 0.810827 0.594822i
\(593\) 13.2149 + 3.25718i 0.542670 + 0.133756i 0.501116 0.865380i \(-0.332923\pi\)
0.0415542 + 0.999136i \(0.486769\pi\)
\(594\) −3.33052 + 0.268868i −0.136653 + 0.0110318i
\(595\) 0.949117 3.42368i 0.0389100 0.140357i
\(596\) −16.8524 + 16.3744i −0.690301 + 0.670722i
\(597\) −30.7237 46.7783i −1.25744 1.91451i
\(598\) −29.2183 12.0534i −1.19482 0.492900i
\(599\) −10.1763 1.77423i −0.415790 0.0724931i −0.0400043 0.999200i \(-0.512737\pi\)
−0.375786 + 0.926706i \(0.622627\pi\)
\(600\) −19.0906 + 6.61852i −0.779372 + 0.270200i
\(601\) −14.2080 + 17.4016i −0.579555 + 0.709826i −0.978290 0.207240i \(-0.933552\pi\)
0.398735 + 0.917066i \(0.369449\pi\)
\(602\) −4.77190 + 1.35249i −0.194488 + 0.0551233i
\(603\) 1.63878 + 4.47579i 0.0667364 + 0.182268i
\(604\) −1.01936 3.67705i −0.0414771 0.149617i
\(605\) −14.5175 8.49341i −0.590219 0.345306i
\(606\) −61.3956 + 26.1582i −2.49403 + 1.06261i
\(607\) 16.9923 + 15.4065i 0.689697 + 0.625331i 0.939332 0.343009i \(-0.111446\pi\)
−0.249635 + 0.968340i \(0.580311\pi\)
\(608\) 1.77790 0.831127i 0.0721035 0.0337066i
\(609\) −3.90678 1.45599i −0.158311 0.0589996i
\(610\) −2.02826 + 32.0032i −0.0821219 + 1.29577i
\(611\) 52.5494 + 3.63410i 2.12592 + 0.147020i
\(612\) 37.4183 50.3959i 1.51255 2.03713i
\(613\) 0.561874 0.328723i 0.0226939 0.0132770i −0.493584 0.869698i \(-0.664313\pi\)
0.516278 + 0.856421i \(0.327317\pi\)
\(614\) −33.9894 33.0253i −1.37170 1.33279i
\(615\) 0.761243 3.96085i 0.0306963 0.159717i
\(616\) 2.63445 5.39092i 0.106145 0.217207i
\(617\) −27.8743 3.22192i −1.12218 0.129709i −0.466336 0.884608i \(-0.654426\pi\)
−0.655842 + 0.754898i \(0.727686\pi\)
\(618\) 33.4293 6.62452i 1.34473 0.266477i
\(619\) 9.09069 + 4.77116i 0.365386 + 0.191769i 0.637417 0.770519i \(-0.280003\pi\)
−0.272031 + 0.962289i \(0.587695\pi\)
\(620\) −13.5896 + 11.7630i −0.545771 + 0.472414i
\(621\) −0.831295 + 0.655146i −0.0333587 + 0.0262901i
\(622\) 78.1692 30.1613i 3.13430 1.20936i
\(623\) 1.15984 0.591807i 0.0464678 0.0237102i
\(624\) 17.5438 39.2823i 0.702313 1.57255i
\(625\) 11.4461 28.2053i 0.457842 1.12821i
\(626\) −23.4351 16.7806i −0.936657 0.670689i
\(627\) 14.6760 24.7572i 0.586103 0.988708i
\(628\) 54.0031 + 67.7177i 2.15496 + 2.70223i
\(629\) 13.3356 + 23.7243i 0.531725 + 0.945948i
\(630\) −4.70267 2.97379i −0.187359 0.118479i
\(631\) −13.5110 + 1.87771i −0.537865 + 0.0747505i −0.401415 0.915896i \(-0.631481\pi\)
−0.136450 + 0.990647i \(0.543569\pi\)
\(632\) 5.06600 + 3.89887i 0.201515 + 0.155089i
\(633\) 2.07362 18.8922i 0.0824190 0.750899i
\(634\) −17.3624 + 18.9295i −0.689549 + 0.751787i
\(635\) −26.0959 29.1169i −1.03558 1.15547i
\(636\) −3.03572 35.0859i −0.120374 1.39125i
\(637\) −22.0807 + 15.8108i −0.874870 + 0.626447i
\(638\) −14.4662 60.1799i −0.572724 2.38255i
\(639\) 10.2600 + 2.65447i 0.405880 + 0.105009i
\(640\) −26.2432 + 40.9764i −1.03735 + 1.61974i
\(641\) 0.298258 0.0206263i 0.0117805 0.000814691i −0.0630997 0.998007i \(-0.520099\pi\)
0.0748802 + 0.997193i \(0.476143\pi\)
\(642\) −0.501676 87.1889i −0.0197996 3.44107i
\(643\) 7.05292 24.3495i 0.278140 0.960250i −0.692840 0.721091i \(-0.743641\pi\)
0.970980 0.239159i \(-0.0768718\pi\)
\(644\) −0.493049 3.70390i −0.0194289 0.145954i
\(645\) −33.0710 + 31.4013i −1.30217 + 1.23643i
\(646\) 10.4794 + 32.0015i 0.412307 + 1.25908i
\(647\) −23.6037 36.8551i −0.927957 1.44892i −0.893268 0.449525i \(-0.851593\pi\)
−0.0346887 0.999398i \(-0.511044\pi\)
\(648\) 26.1253 + 35.1862i 1.02630 + 1.38225i
\(649\) 36.4950 + 15.5491i 1.43256 + 0.610355i
\(650\) −6.46842 14.0470i −0.253712 0.550970i
\(651\) −1.17475 0.218776i −0.0460420 0.00857449i
\(652\) 8.25020 24.2470i 0.323103 0.949586i
\(653\) 1.55152 0.517974i 0.0607157 0.0202699i −0.286148 0.958185i \(-0.592375\pi\)
0.346864 + 0.937916i \(0.387247\pi\)
\(654\) 111.672 27.5246i 4.36671 1.07630i
\(655\) −12.2346 + 14.6376i −0.478046 + 0.571937i
\(656\) 1.29052 + 2.49365i 0.0503865 + 0.0973608i
\(657\) −43.8920 + 11.8963i −1.71239 + 0.464118i
\(658\) 4.07752 + 8.34390i 0.158958 + 0.325279i
\(659\) −8.43649 23.8894i −0.328639 0.930599i −0.984449 0.175673i \(-0.943790\pi\)
0.655810 0.754926i \(-0.272327\pi\)
\(660\) −3.11988 108.415i −0.121441 4.22006i
\(661\) 6.22541 + 23.5038i 0.242140 + 0.914192i 0.972837 + 0.231490i \(0.0743601\pi\)
−0.730697 + 0.682702i \(0.760805\pi\)
\(662\) 17.7193 20.2343i 0.688679 0.786429i
\(663\) 41.0231 + 24.6385i 1.59321 + 0.956880i
\(664\) −49.4296 33.7005i −1.91824 1.30783i
\(665\) 1.85028 0.763294i 0.0717507 0.0295993i
\(666\) 41.6073 9.24505i 1.61225 0.358238i
\(667\) −14.3722 13.3354i −0.556493 0.516350i
\(668\) −2.19269 + 54.4111i −0.0848378 + 2.10523i
\(669\) −36.9791 + 16.7711i −1.42970 + 0.648406i
\(670\) −9.20822 + 2.84036i −0.355745 + 0.109733i
\(671\) −19.7997 7.63963i −0.764358 0.294925i
\(672\) 0.489086 0.0508360i 0.0188669 0.00196104i
\(673\) −2.39370 + 31.9418i −0.0922705 + 1.23126i 0.738347 + 0.674421i \(0.235607\pi\)
−0.830618 + 0.556843i \(0.812012\pi\)
\(674\) −13.3326 + 36.4134i −0.513551 + 1.40259i
\(675\) −0.516194 0.0416715i −0.0198683 0.00160394i
\(676\) 9.25380 + 3.08937i 0.355915 + 0.118822i
\(677\) −28.2928 + 37.2032i −1.08738 + 1.42984i −0.193740 + 0.981053i \(0.562062\pi\)
−0.893641 + 0.448783i \(0.851858\pi\)
\(678\) −68.2754 14.3482i −2.62210 0.551040i
\(679\) −0.975203 + 0.555577i −0.0374249 + 0.0213211i
\(680\) 49.7649 + 41.1112i 1.90840 + 1.57654i
\(681\) −43.1638 42.9162i −1.65404 1.64455i
\(682\) −7.04703 16.2796i −0.269845 0.623378i
\(683\) −1.87032 + 9.16142i −0.0715657 + 0.350552i −0.999768 0.0215231i \(-0.993148\pi\)
0.928203 + 0.372075i \(0.121354\pi\)
\(684\) 35.3524 0.813791i 1.35173 0.0311161i
\(685\) 24.8634 49.4282i 0.949981 1.88856i
\(686\) −8.77083 3.97781i −0.334872 0.151874i
\(687\) 43.7965 + 5.57375i 1.67094 + 0.212652i
\(688\) 4.55097 31.4194i 0.173504 1.19785i
\(689\) 13.4790 2.51021i 0.513507 0.0956314i
\(690\) −29.5892 41.8295i −1.12644 1.59242i
\(691\) 22.6617 + 12.2284i 0.862091 + 0.465191i 0.845065 0.534664i \(-0.179562\pi\)
0.0170264 + 0.999855i \(0.494580\pi\)
\(692\) −32.7339 + 20.6997i −1.24436 + 0.786884i
\(693\) 2.81172 2.37775i 0.106808 0.0903233i
\(694\) −31.1696 51.2274i −1.18318 1.94457i
\(695\) −5.36875 + 4.13187i −0.203648 + 0.156731i
\(696\) 53.0992 54.0238i 2.01272 2.04777i
\(697\) −2.92651 + 1.09066i −0.110849 + 0.0413116i
\(698\) −6.24475 20.6664i −0.236367 0.782235i
\(699\) 43.7237 21.6795i 1.65378 0.819996i
\(700\) 1.05581 1.49257i 0.0399059 0.0564139i
\(701\) 17.1999 37.3518i 0.649631 1.41076i −0.247454 0.968900i \(-0.579594\pi\)
0.897085 0.441859i \(-0.145681\pi\)
\(702\) 2.31874 2.10235i 0.0875153 0.0793479i
\(703\) −5.92849 + 14.1397i −0.223597 + 0.533291i
\(704\) −19.1102 22.8636i −0.720243 0.861703i
\(705\) 68.8500 + 50.5083i 2.59304 + 1.90225i
\(706\) −8.00156 72.9002i −0.301143 2.74364i
\(707\) 1.59659 2.62400i 0.0600459 0.0986857i
\(708\) 14.7683 + 94.2969i 0.555028 + 3.54389i
\(709\) −5.05344 6.48860i −0.189786 0.243685i 0.684596 0.728922i \(-0.259978\pi\)
−0.874382 + 0.485238i \(0.838733\pi\)
\(710\) −6.43312 + 20.4374i −0.241431 + 0.767002i
\(711\) 1.88286 + 3.44178i 0.0706129 + 0.129077i
\(712\) 1.22454 + 23.6257i 0.0458915 + 0.885410i
\(713\) −4.71444 3.05774i −0.176557 0.114513i
\(714\) −0.145626 + 8.43562i −0.00544991 + 0.315695i
\(715\) 41.8878 5.33085i 1.56652 0.199362i
\(716\) −22.0114 6.78961i −0.822603 0.253740i
\(717\) −15.5534 12.2577i −0.580851 0.457771i
\(718\) −60.7071 + 2.79637i −2.26557 + 0.104359i
\(719\) 3.50447 28.8619i 0.130695 1.07637i −0.768817 0.639469i \(-0.779154\pi\)
0.899511 0.436897i \(-0.143923\pi\)
\(720\) 29.6550 19.7224i 1.10518 0.735011i
\(721\) −1.07347 + 1.14365i −0.0399780 + 0.0425918i
\(722\) 15.5515 23.0943i 0.578768 0.859480i
\(723\) −9.86222 11.2620i −0.366780 0.418839i
\(724\) −17.6442 97.8684i −0.655741 3.63725i
\(725\) −0.716880 9.56609i −0.0266242 0.355276i
\(726\) 38.4277 + 10.8915i 1.42619 + 0.404220i
\(727\) −3.37150 + 2.35594i −0.125042 + 0.0873769i −0.633643 0.773625i \(-0.718441\pi\)
0.508601 + 0.861002i \(0.330163\pi\)
\(728\) 1.12425 + 5.50693i 0.0416674 + 0.204100i
\(729\) 6.51987 + 28.5654i 0.241477 + 1.05798i
\(730\) −19.4257 89.8639i −0.718976 3.32601i
\(731\) 34.0829 + 9.23767i 1.26060 + 0.341668i
\(732\) −9.63734 50.1444i −0.356206 1.85339i
\(733\) 21.5550 32.8184i 0.796151 1.21218i −0.177497 0.984121i \(-0.556800\pi\)
0.973648 0.228055i \(-0.0732367\pi\)
\(734\) −47.4407 + 32.3445i −1.75107 + 1.19386i
\(735\) −43.9517 + 2.53170i −1.62118 + 0.0933833i
\(736\) 2.21728 + 0.656094i 0.0817300 + 0.0241839i
\(737\) 0.0366942 6.37728i 0.00135165 0.234910i
\(738\) 0.309364 + 4.88135i 0.0113879 + 0.179685i
\(739\) 8.36421 27.6806i 0.307682 1.01825i −0.656793 0.754071i \(-0.728087\pi\)
0.964475 0.264175i \(-0.0850995\pi\)
\(740\) 9.59666 + 56.9781i 0.352780 + 2.09456i
\(741\) 3.24956 + 26.7626i 0.119376 + 0.983147i
\(742\) 1.57149 + 1.83676i 0.0576911 + 0.0674297i
\(743\) 23.2484 21.5714i 0.852902 0.791378i −0.126781 0.991931i \(-0.540464\pi\)
0.979683 + 0.200553i \(0.0642740\pi\)
\(744\) 12.3330 17.8675i 0.452151 0.655054i
\(745\) −4.45255 14.1453i −0.163129 0.518245i
\(746\) −36.1923 + 37.6802i −1.32509 + 1.37957i
\(747\) −19.4438 31.1431i −0.711410 1.13947i
\(748\) −70.4611 + 45.7004i −2.57631 + 1.67097i
\(749\) 2.35504 + 3.24929i 0.0860512 +