Properties

Label 503.2.c.a.2.6
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.6
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.43081 - 1.76164i) q^{2} +(-1.19346 + 1.03295i) q^{3} +(-0.646042 + 3.08364i) q^{4} +(0.511937 + 1.61679i) q^{5} +(3.52731 + 0.624490i) q^{6} +(-1.13380 + 3.29205i) q^{7} +(2.32143 - 1.19567i) q^{8} +(-0.0729611 + 0.503389i) q^{9} +O(q^{10})\) \(q+(-1.43081 - 1.76164i) q^{2} +(-1.19346 + 1.03295i) q^{3} +(-0.646042 + 3.08364i) q^{4} +(0.511937 + 1.61679i) q^{5} +(3.52731 + 0.624490i) q^{6} +(-1.13380 + 3.29205i) q^{7} +(2.32143 - 1.19567i) q^{8} +(-0.0729611 + 0.503389i) q^{9} +(2.11572 - 3.21517i) q^{10} +(-4.01497 + 1.29899i) q^{11} +(-2.41424 - 4.34755i) q^{12} +(2.63886 - 0.890402i) q^{13} +(7.42166 - 2.71296i) q^{14} +(-2.28105 - 1.40078i) q^{15} +(0.343421 + 0.150504i) q^{16} +(-4.32246 - 2.15829i) q^{17} +(0.991183 - 0.591724i) q^{18} +(-2.53140 - 5.67925i) q^{19} +(-5.31635 + 0.534114i) q^{20} +(-2.04739 - 5.10011i) q^{21} +(8.03301 + 5.21431i) q^{22} +(0.991105 - 3.42581i) q^{23} +(-1.53548 + 3.82492i) q^{24} +(1.73683 - 1.22245i) q^{25} +(-5.34427 - 3.37471i) q^{26} +(-2.98614 - 4.66401i) q^{27} +(-9.41903 - 5.62304i) q^{28} +(-0.577953 + 4.83770i) q^{29} +(0.796090 + 6.02263i) q^{30} +(-0.390950 - 4.79481i) q^{31} +(-1.61472 - 5.85489i) q^{32} +(3.44992 - 5.69757i) q^{33} +(2.38250 + 10.7027i) q^{34} +(-5.90300 - 0.147798i) q^{35} +(-1.50514 - 0.550197i) q^{36} +(2.72917 + 3.44749i) q^{37} +(-6.38282 + 12.5853i) q^{38} +(-2.22963 + 3.78848i) q^{39} +(3.12157 + 3.14117i) q^{40} +(-2.36556 + 12.0401i) q^{41} +(-6.05512 + 10.9041i) q^{42} +(1.51231 - 8.24124i) q^{43} +(-1.41178 - 13.2199i) q^{44} +(-0.851227 + 0.139740i) q^{45} +(-7.45312 + 3.15571i) q^{46} +(-0.677057 + 0.0254347i) q^{47} +(-0.565324 + 0.175118i) q^{48} +(-4.03662 - 3.15466i) q^{49} +(-4.63859 - 1.31057i) q^{50} +(7.38811 - 1.88906i) q^{51} +(1.04087 + 8.71253i) q^{52} +(-0.739535 + 1.65916i) q^{53} +(-3.94370 + 11.9338i) q^{54} +(-4.15560 - 5.82637i) q^{55} +(1.30416 + 8.99793i) q^{56} +(8.88754 + 4.16315i) q^{57} +(9.34922 - 5.90369i) q^{58} +(3.36540 - 8.08897i) q^{59} +(5.79315 - 6.12899i) q^{60} +(3.38088 + 5.58355i) q^{61} +(-7.88735 + 7.54918i) q^{62} +(-1.57446 - 0.810935i) q^{63} +(-7.56839 + 10.6113i) q^{64} +(2.79052 + 3.81065i) q^{65} +(-14.9733 + 2.07463i) q^{66} +(-5.05245 + 3.10267i) q^{67} +(9.44788 - 11.9346i) q^{68} +(2.35585 + 5.11234i) q^{69} +(8.18571 + 10.6104i) q^{70} +(1.24570 + 7.89702i) q^{71} +(0.432512 + 1.25582i) q^{72} +(-2.58168 - 2.47099i) q^{73} +(2.16830 - 9.74051i) q^{74} +(-0.810107 + 3.25302i) q^{75} +(19.1482 - 4.13691i) q^{76} +(0.275834 - 14.6903i) q^{77} +(9.86412 - 1.49279i) q^{78} +(0.643384 + 11.4110i) q^{79} +(-0.0675233 + 0.632289i) q^{80} +(6.91841 + 2.04854i) q^{81} +(24.5950 - 13.0598i) q^{82} +(-8.03251 - 15.3585i) q^{83} +(17.0496 - 3.01853i) q^{84} +(1.27668 - 8.09342i) q^{85} +(-16.6819 + 9.12751i) q^{86} +(-4.30736 - 6.37062i) q^{87} +(-7.76732 + 7.81608i) q^{88} +(-3.25521 - 12.4071i) q^{89} +(1.46412 + 1.29961i) q^{90} +(-0.0606848 + 9.69679i) q^{91} +(9.92367 + 5.26943i) q^{92} +(5.41941 + 5.31860i) q^{93} +(1.01355 + 1.15634i) q^{94} +(7.88624 - 7.00017i) q^{95} +(7.97494 + 5.31967i) q^{96} +(0.373284 + 1.58318i) q^{97} +(0.218275 + 11.6248i) q^{98} +(-0.360960 - 2.11587i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.43081 1.76164i −1.01174 1.24567i −0.969124 0.246575i \(-0.920695\pi\)
−0.0426127 0.999092i \(-0.513568\pi\)
\(3\) −1.19346 + 1.03295i −0.689047 + 0.596376i −0.927072 0.374882i \(-0.877683\pi\)
0.238026 + 0.971259i \(0.423500\pi\)
\(4\) −0.646042 + 3.08364i −0.323021 + 1.54182i
\(5\) 0.511937 + 1.61679i 0.228945 + 0.723052i 0.996615 + 0.0822066i \(0.0261967\pi\)
−0.767670 + 0.640845i \(0.778584\pi\)
\(6\) 3.52731 + 0.624490i 1.44002 + 0.254947i
\(7\) −1.13380 + 3.29205i −0.428536 + 1.24428i 0.497705 + 0.867347i \(0.334176\pi\)
−0.926241 + 0.376932i \(0.876979\pi\)
\(8\) 2.32143 1.19567i 0.820751 0.422733i
\(9\) −0.0729611 + 0.503389i −0.0243204 + 0.167796i
\(10\) 2.11572 3.21517i 0.669049 1.01673i
\(11\) −4.01497 + 1.29899i −1.21056 + 0.391660i −0.842782 0.538255i \(-0.819084\pi\)
−0.367776 + 0.929915i \(0.619881\pi\)
\(12\) −2.41424 4.34755i −0.696930 1.25503i
\(13\) 2.63886 0.890402i 0.731887 0.246953i 0.0710395 0.997474i \(-0.477368\pi\)
0.660847 + 0.750520i \(0.270197\pi\)
\(14\) 7.42166 2.71296i 1.98352 0.725068i
\(15\) −2.28105 1.40078i −0.588965 0.361679i
\(16\) 0.343421 + 0.150504i 0.0858553 + 0.0376259i
\(17\) −4.32246 2.15829i −1.04835 0.523462i −0.162150 0.986766i \(-0.551843\pi\)
−0.886199 + 0.463304i \(0.846664\pi\)
\(18\) 0.991183 0.591724i 0.233624 0.139471i
\(19\) −2.53140 5.67925i −0.580744 1.30291i −0.930577 0.366096i \(-0.880694\pi\)
0.349833 0.936812i \(-0.386238\pi\)
\(20\) −5.31635 + 0.534114i −1.18877 + 0.119432i
\(21\) −2.04739 5.10011i −0.446777 1.11294i
\(22\) 8.03301 + 5.21431i 1.71264 + 1.11170i
\(23\) 0.991105 3.42581i 0.206660 0.714330i −0.788410 0.615150i \(-0.789095\pi\)
0.995070 0.0991795i \(-0.0316218\pi\)
\(24\) −1.53548 + 3.82492i −0.313428 + 0.780759i
\(25\) 1.73683 1.22245i 0.347366 0.244490i
\(26\) −5.34427 3.37471i −1.04810 0.661836i
\(27\) −2.98614 4.66401i −0.574684 0.897590i
\(28\) −9.41903 5.62304i −1.78003 1.06265i
\(29\) −0.577953 + 4.83770i −0.107323 + 0.898339i 0.831875 + 0.554963i \(0.187268\pi\)
−0.939198 + 0.343376i \(0.888430\pi\)
\(30\) 0.796090 + 6.02263i 0.145346 + 1.09958i
\(31\) −0.390950 4.79481i −0.0702166 0.861174i −0.933991 0.357296i \(-0.883699\pi\)
0.863775 0.503878i \(-0.168094\pi\)
\(32\) −1.61472 5.85489i −0.285445 1.03501i
\(33\) 3.44992 5.69757i 0.600554 0.991820i
\(34\) 2.38250 + 10.7027i 0.408595 + 1.83550i
\(35\) −5.90300 0.147798i −0.997789 0.0249825i
\(36\) −1.50514 0.550197i −0.250856 0.0916995i
\(37\) 2.72917 + 3.44749i 0.448673 + 0.566764i 0.955389 0.295349i \(-0.0954359\pi\)
−0.506717 + 0.862112i \(0.669141\pi\)
\(38\) −6.38282 + 12.5853i −1.03543 + 2.04161i
\(39\) −2.22963 + 3.78848i −0.357027 + 0.606642i
\(40\) 3.12157 + 3.14117i 0.493564 + 0.496663i
\(41\) −2.36556 + 12.0401i −0.369439 + 1.88035i 0.0961850 + 0.995363i \(0.469336\pi\)
−0.465624 + 0.884983i \(0.654170\pi\)
\(42\) −6.05512 + 10.9041i −0.934326 + 1.68253i
\(43\) 1.51231 8.24124i 0.230626 1.25678i −0.641358 0.767242i \(-0.721629\pi\)
0.871984 0.489535i \(-0.162834\pi\)
\(44\) −1.41178 13.2199i −0.212834 1.99298i
\(45\) −0.851227 + 0.139740i −0.126893 + 0.0208312i
\(46\) −7.45312 + 3.15571i −1.09890 + 0.465284i
\(47\) −0.677057 + 0.0254347i −0.0987588 + 0.00371003i −0.0868737 0.996219i \(-0.527688\pi\)
−0.0118852 + 0.999929i \(0.503783\pi\)
\(48\) −0.565324 + 0.175118i −0.0815975 + 0.0252761i
\(49\) −4.03662 3.15466i −0.576661 0.450666i
\(50\) −4.63859 1.31057i −0.655996 0.185342i
\(51\) 7.38811 1.88906i 1.03454 0.264521i
\(52\) 1.04087 + 8.71253i 0.144343 + 1.20821i
\(53\) −0.739535 + 1.65916i −0.101583 + 0.227903i −0.957031 0.289985i \(-0.906350\pi\)
0.855448 + 0.517888i \(0.173282\pi\)
\(54\) −3.94370 + 11.9338i −0.536669 + 1.62399i
\(55\) −4.15560 5.82637i −0.560341 0.785627i
\(56\) 1.30416 + 8.99793i 0.174276 + 1.20240i
\(57\) 8.88754 + 4.16315i 1.17718 + 0.551423i
\(58\) 9.34922 5.90369i 1.22761 0.775193i
\(59\) 3.36540 8.08897i 0.438137 1.05309i −0.539347 0.842084i \(-0.681329\pi\)
0.977484 0.211010i \(-0.0676753\pi\)
\(60\) 5.79315 6.12899i 0.747893 0.791249i
\(61\) 3.38088 + 5.58355i 0.432878 + 0.714901i 0.993582 0.113115i \(-0.0360830\pi\)
−0.560704 + 0.828016i \(0.689469\pi\)
\(62\) −7.88735 + 7.54918i −1.00169 + 0.958747i
\(63\) −1.57446 0.810935i −0.198363 0.102168i
\(64\) −7.56839 + 10.6113i −0.946049 + 1.32641i
\(65\) 2.79052 + 3.81065i 0.346122 + 0.472653i
\(66\) −14.9733 + 2.07463i −1.84308 + 0.255370i
\(67\) −5.05245 + 3.10267i −0.617255 + 0.379052i −0.796400 0.604771i \(-0.793265\pi\)
0.179144 + 0.983823i \(0.442667\pi\)
\(68\) 9.44788 11.9346i 1.14572 1.44728i
\(69\) 2.35585 + 5.11234i 0.283611 + 0.615454i
\(70\) 8.18571 + 10.6104i 0.978379 + 1.26819i
\(71\) 1.24570 + 7.89702i 0.147837 + 0.937204i 0.943478 + 0.331435i \(0.107533\pi\)
−0.795641 + 0.605769i \(0.792866\pi\)
\(72\) 0.432512 + 1.25582i 0.0509720 + 0.148000i
\(73\) −2.58168 2.47099i −0.302163 0.289207i 0.525079 0.851053i \(-0.324036\pi\)
−0.827242 + 0.561846i \(0.810091\pi\)
\(74\) 2.16830 9.74051i 0.252060 1.13231i
\(75\) −0.810107 + 3.25302i −0.0935431 + 0.375626i
\(76\) 19.1482 4.13691i 2.19645 0.474537i
\(77\) 0.275834 14.6903i 0.0314342 1.67411i
\(78\) 9.86412 1.49279i 1.11689 0.169025i
\(79\) 0.643384 + 11.4110i 0.0723863 + 1.28383i 0.800899 + 0.598800i \(0.204355\pi\)
−0.728512 + 0.685033i \(0.759788\pi\)
\(80\) −0.0675233 + 0.632289i −0.00754933 + 0.0706920i
\(81\) 6.91841 + 2.04854i 0.768713 + 0.227616i
\(82\) 24.5950 13.0598i 2.71606 1.44222i
\(83\) −8.03251 15.3585i −0.881683 1.68582i −0.714198 0.699944i \(-0.753208\pi\)
−0.167485 0.985875i \(-0.553565\pi\)
\(84\) 17.0496 3.01853i 1.86027 0.329349i
\(85\) 1.27668 8.09342i 0.138475 0.877855i
\(86\) −16.6819 + 9.12751i −1.79886 + 0.984244i
\(87\) −4.30736 6.37062i −0.461797 0.683002i
\(88\) −7.76732 + 7.81608i −0.827999 + 0.833197i
\(89\) −3.25521 12.4071i −0.345052 1.31515i −0.881888 0.471460i \(-0.843727\pi\)
0.536836 0.843687i \(-0.319619\pi\)
\(90\) 1.46412 + 1.29961i 0.154332 + 0.136991i
\(91\) −0.0606848 + 9.69679i −0.00636149 + 1.01650i
\(92\) 9.92367 + 5.26943i 1.03461 + 0.549376i
\(93\) 5.41941 + 5.31860i 0.561966 + 0.551513i
\(94\) 1.01355 + 1.15634i 0.104539 + 0.119267i
\(95\) 7.88624 7.00017i 0.809112 0.718202i
\(96\) 7.97494 + 5.31967i 0.813939 + 0.542936i
\(97\) 0.373284 + 1.58318i 0.0379012 + 0.160748i 0.988938 0.148330i \(-0.0473899\pi\)
−0.951037 + 0.309078i \(0.899980\pi\)
\(98\) 0.218275 + 11.6248i 0.0220491 + 1.17428i
\(99\) −0.360960 2.11587i −0.0362778 0.212653i
\(100\) 2.64754 + 6.14552i 0.264754 + 0.614552i
\(101\) −13.2055 + 5.20549i −1.31400 + 0.517966i −0.916645 0.399701i \(-0.869114\pi\)
−0.397350 + 0.917667i \(0.630070\pi\)
\(102\) −13.8988 10.3123i −1.37619 1.02107i
\(103\) −5.17221 + 1.04986i −0.509633 + 0.103446i −0.446900 0.894584i \(-0.647472\pi\)
−0.0627335 + 0.998030i \(0.519982\pi\)
\(104\) 5.06130 5.22221i 0.496302 0.512079i
\(105\) 7.19768 5.92113i 0.702422 0.577844i
\(106\) 3.98097 1.07115i 0.386666 0.104039i
\(107\) −2.61187 0.0981189i −0.252499 0.00948552i −0.0890101 0.996031i \(-0.528370\pi\)
−0.163489 + 0.986545i \(0.552275\pi\)
\(108\) 16.3113 6.19506i 1.56956 0.596119i
\(109\) −3.42106 3.61938i −0.327678 0.346674i 0.541924 0.840428i \(-0.317696\pi\)
−0.869602 + 0.493754i \(0.835624\pi\)
\(110\) −4.31807 + 15.6571i −0.411712 + 1.49285i
\(111\) −6.81826 1.29535i −0.647161 0.122949i
\(112\) −0.884836 + 0.959919i −0.0836092 + 0.0907038i
\(113\) −6.36167 12.9427i −0.598456 1.21755i −0.958628 0.284661i \(-0.908119\pi\)
0.360173 0.932886i \(-0.382718\pi\)
\(114\) −5.38242 21.6133i −0.504110 2.02427i
\(115\) 6.04620 0.151384i 0.563811 0.0141166i
\(116\) −14.5444 4.90756i −1.35041 0.455655i
\(117\) 0.255685 + 1.39334i 0.0236381 + 0.128814i
\(118\) −19.0651 + 5.64517i −1.75508 + 0.519680i
\(119\) 12.0060 11.7827i 1.10059 1.08012i
\(120\) −6.97017 0.524431i −0.636287 0.0478738i
\(121\) 5.51724 3.98744i 0.501567 0.362495i
\(122\) 4.99880 13.9449i 0.452570 1.26251i
\(123\) −9.61365 16.8129i −0.866834 1.51597i
\(124\) 15.0381 + 1.89210i 1.35046 + 0.169916i
\(125\) 9.61166 + 7.31969i 0.859693 + 0.654693i
\(126\) 0.824181 + 3.93392i 0.0734238 + 0.350462i
\(127\) −13.1950 + 7.43573i −1.17087 + 0.659815i −0.949004 0.315263i \(-0.897907\pi\)
−0.221864 + 0.975078i \(0.571214\pi\)
\(128\) 17.3990 1.09028i 1.53787 0.0963680i
\(129\) 6.70793 + 11.3978i 0.590600 + 1.00352i
\(130\) 2.72028 10.3682i 0.238585 0.909353i
\(131\) −7.09436 + 4.73228i −0.619837 + 0.413461i −0.824893 0.565289i \(-0.808764\pi\)
0.205056 + 0.978750i \(0.434262\pi\)
\(132\) 15.3405 + 14.3192i 1.33522 + 1.24633i
\(133\) 21.5665 1.89438i 1.87005 0.164263i
\(134\) 12.6949 + 4.46125i 1.09667 + 0.385394i
\(135\) 6.01203 7.21565i 0.517433 0.621025i
\(136\) −12.6149 + 0.157900i −1.08172 + 0.0135398i
\(137\) −6.93381 17.9178i −0.592395 1.53082i −0.829019 0.559220i \(-0.811101\pi\)
0.236624 0.971601i \(-0.423959\pi\)
\(138\) 5.63532 11.4650i 0.479710 0.975962i
\(139\) 21.9855 + 4.74990i 1.86478 + 0.402882i 0.995768 0.0919044i \(-0.0292954\pi\)
0.869015 + 0.494786i \(0.164754\pi\)
\(140\) 4.26934 18.1073i 0.360825 1.53034i
\(141\) 0.781770 0.729724i 0.0658369 0.0614538i
\(142\) 12.1293 13.4936i 1.01787 1.13236i
\(143\) −9.43829 + 7.00278i −0.789270 + 0.585602i
\(144\) −0.100818 + 0.161894i −0.00840152 + 0.0134911i
\(145\) −8.11744 + 1.54217i −0.674116 + 0.128070i
\(146\) −0.659096 + 8.08350i −0.0545472 + 0.668996i
\(147\) 8.07619 0.404674i 0.666113 0.0333770i
\(148\) −12.3940 + 6.18856i −1.01878 + 0.508697i
\(149\) 0.307972 0.481016i 0.0252300 0.0394064i −0.829330 0.558760i \(-0.811277\pi\)
0.854560 + 0.519353i \(0.173827\pi\)
\(150\) 6.88975 3.22734i 0.562546 0.263511i
\(151\) −6.67463 10.1432i −0.543174 0.825439i 0.454698 0.890646i \(-0.349747\pi\)
−0.997872 + 0.0652069i \(0.979229\pi\)
\(152\) −12.6670 10.1573i −1.02743 0.823864i
\(153\) 1.40183 2.01841i 0.113331 0.163178i
\(154\) −26.2736 + 20.5331i −2.11719 + 1.65460i
\(155\) 7.55208 3.08672i 0.606597 0.247932i
\(156\) −10.2419 9.32292i −0.820007 0.746431i
\(157\) −6.78984 + 14.2620i −0.541888 + 1.13823i 0.430009 + 0.902824i \(0.358510\pi\)
−0.971897 + 0.235405i \(0.924358\pi\)
\(158\) 19.1814 17.4603i 1.52599 1.38907i
\(159\) −0.831227 2.74405i −0.0659206 0.217617i
\(160\) 8.63951 5.60800i 0.683013 0.443351i
\(161\) 10.1542 + 7.14695i 0.800264 + 0.563258i
\(162\) −6.29015 15.1188i −0.494201 1.18785i
\(163\) −2.40656 0.914015i −0.188497 0.0715911i 0.258998 0.965878i \(-0.416608\pi\)
−0.447494 + 0.894287i \(0.647684\pi\)
\(164\) −35.5991 15.0730i −2.77982 1.17700i
\(165\) 10.9779 + 2.66101i 0.854631 + 0.207160i
\(166\) −15.5632 + 36.1256i −1.20794 + 2.80389i
\(167\) −0.326039 + 10.4162i −0.0252296 + 0.806033i 0.902043 + 0.431646i \(0.142067\pi\)
−0.927273 + 0.374387i \(0.877853\pi\)
\(168\) −10.8509 9.39157i −0.837166 0.724575i
\(169\) −4.17167 + 3.17691i −0.320898 + 0.244378i
\(170\) −16.0844 + 9.33111i −1.23362 + 0.715663i
\(171\) 3.04356 0.859916i 0.232747 0.0657594i
\(172\) 24.4360 + 9.98762i 1.86323 + 0.761549i
\(173\) 0.755955 + 1.58787i 0.0574742 + 0.120724i 0.929616 0.368528i \(-0.120138\pi\)
−0.872142 + 0.489252i \(0.837270\pi\)
\(174\) −5.05972 + 16.7032i −0.383576 + 1.26626i
\(175\) 2.05515 + 7.10375i 0.155355 + 0.536993i
\(176\) −1.57433 0.158167i −0.118669 0.0119223i
\(177\) 4.33905 + 13.1302i 0.326143 + 0.986926i
\(178\) −17.1992 + 23.4867i −1.28913 + 1.76040i
\(179\) −0.848603 + 1.57427i −0.0634275 + 0.117666i −0.910002 0.414604i \(-0.863920\pi\)
0.846574 + 0.532271i \(0.178661\pi\)
\(180\) 0.119019 2.71516i 0.00887118 0.202376i
\(181\) −0.396740 5.75414i −0.0294894 0.427702i −0.989186 0.146664i \(-0.953146\pi\)
0.959697 0.281037i \(-0.0906785\pi\)
\(182\) 17.1691 13.7674i 1.27266 1.02051i
\(183\) −9.80252 3.17147i −0.724623 0.234442i
\(184\) −1.79534 9.13781i −0.132354 0.673649i
\(185\) −4.17671 + 6.17739i −0.307078 + 0.454171i
\(186\) 1.61531 17.1570i 0.118440 1.25801i
\(187\) 20.1581 + 3.05063i 1.47411 + 0.223084i
\(188\) 0.358975 2.10423i 0.0261810 0.153467i
\(189\) 18.7399 4.54248i 1.36312 0.330417i
\(190\) −23.6155 3.87680i −1.71325 0.281252i
\(191\) −1.42085 + 25.2000i −0.102809 + 1.82341i 0.355570 + 0.934650i \(0.384287\pi\)
−0.458379 + 0.888757i \(0.651570\pi\)
\(192\) −1.92836 20.4820i −0.139167 1.47816i
\(193\) −7.51407 4.11132i −0.540875 0.295940i 0.186184 0.982515i \(-0.440388\pi\)
−0.727059 + 0.686575i \(0.759113\pi\)
\(194\) 2.25490 2.92283i 0.161892 0.209847i
\(195\) −7.26662 1.66539i −0.520373 0.119261i
\(196\) 12.3357 10.4095i 0.881120 0.743534i
\(197\) 15.6380 1.17659i 1.11416 0.0838285i 0.494851 0.868978i \(-0.335222\pi\)
0.619307 + 0.785149i \(0.287414\pi\)
\(198\) −3.21093 + 3.66329i −0.228191 + 0.260338i
\(199\) 0.00228033 + 0.364372i 0.000161648 + 0.0258297i 0.999978 + 0.00665724i \(0.00211908\pi\)
−0.999816 + 0.0191724i \(0.993897\pi\)
\(200\) 2.57029 4.91451i 0.181747 0.347508i
\(201\) 2.82500 8.92188i 0.199260 0.629301i
\(202\) 28.0648 + 15.8152i 1.97463 + 1.11276i
\(203\) −15.2707 7.38764i −1.07179 0.518511i
\(204\) 1.05216 + 24.0027i 0.0736660 + 1.68053i
\(205\) −20.6773 + 2.33914i −1.44417 + 0.163372i
\(206\) 9.24994 + 7.60941i 0.644474 + 0.530173i
\(207\) 1.65220 + 0.748862i 0.114836 + 0.0520495i
\(208\) 1.04025 + 0.0913743i 0.0721282 + 0.00633567i
\(209\) 17.5408 + 19.5137i 1.21332 + 1.34979i
\(210\) −20.7294 4.20769i −1.43047 0.290358i
\(211\) −19.1382 + 13.1152i −1.31753 + 0.902885i −0.998986 0.0450227i \(-0.985664\pi\)
−0.318544 + 0.947908i \(0.603194\pi\)
\(212\) −4.63848 3.35235i −0.318572 0.230240i
\(213\) −9.64396 8.13806i −0.660793 0.557611i
\(214\) 3.56424 + 4.74156i 0.243646 + 0.324126i
\(215\) 14.0986 1.77389i 0.961515 0.120979i
\(216\) −12.5087 7.25676i −0.851112 0.493760i
\(217\) 16.2280 + 4.14933i 1.10163 + 0.281675i
\(218\) −1.48115 + 11.2053i −0.100316 + 0.758920i
\(219\) 5.63356 + 0.282281i 0.380681 + 0.0190748i
\(220\) 20.6511 9.05032i 1.39230 0.610172i
\(221\) −13.3281 1.84668i −0.896544 0.124221i
\(222\) 7.47371 + 13.8647i 0.501603 + 0.930539i
\(223\) 2.87630 1.39149i 0.192611 0.0931813i −0.336689 0.941616i \(-0.609307\pi\)
0.529300 + 0.848435i \(0.322455\pi\)
\(224\) 21.1054 + 1.32253i 1.41016 + 0.0883655i
\(225\) 0.488648 + 0.963492i 0.0325765 + 0.0642328i
\(226\) −13.6980 + 29.7255i −0.911179 + 1.97731i
\(227\) −10.7419 + 2.46188i −0.712967 + 0.163401i −0.564400 0.825501i \(-0.690892\pi\)
−0.148567 + 0.988902i \(0.547466\pi\)
\(228\) −18.5794 + 24.7164i −1.23045 + 1.63689i
\(229\) 5.08440 8.89191i 0.335987 0.587594i −0.648883 0.760888i \(-0.724764\pi\)
0.984870 + 0.173294i \(0.0554410\pi\)
\(230\) −8.91765 10.4346i −0.588013 0.688038i
\(231\) 14.8452 + 17.8172i 0.976741 + 1.17229i
\(232\) 4.44261 + 11.9214i 0.291671 + 0.782681i
\(233\) −20.2584 0.253574i −1.32717 0.0166122i −0.654223 0.756301i \(-0.727004\pi\)
−0.672949 + 0.739689i \(0.734972\pi\)
\(234\) 2.08872 2.44403i 0.136544 0.159771i
\(235\) −0.387733 1.08164i −0.0252929 0.0705584i
\(236\) 22.7693 + 15.6035i 1.48216 + 1.01570i
\(237\) −12.5548 12.9540i −0.815525 0.841451i
\(238\) −37.9351 4.29144i −2.45897 0.278173i
\(239\) −1.24578 + 18.0682i −0.0805826 + 1.16873i 0.768278 + 0.640117i \(0.221114\pi\)
−0.848860 + 0.528617i \(0.822711\pi\)
\(240\) −0.572539 0.824363i −0.0369572 0.0532124i
\(241\) −19.1465 5.93091i −1.23333 0.382044i −0.390694 0.920521i \(-0.627765\pi\)
−0.842640 + 0.538477i \(0.819000\pi\)
\(242\) −14.9186 4.01410i −0.959002 0.258036i
\(243\) 4.75942 2.15721i 0.305317 0.138385i
\(244\) −19.4019 + 6.81823i −1.24208 + 0.436493i
\(245\) 3.03394 8.14137i 0.193831 0.520133i
\(246\) −15.8630 + 40.9919i −1.01139 + 2.61355i
\(247\) −11.7368 12.7327i −0.746796 0.810165i
\(248\) −6.64057 10.6634i −0.421676 0.677126i
\(249\) 25.4512 + 10.0326i 1.61290 + 0.635793i
\(250\) −0.857815 27.4054i −0.0542530 1.73327i
\(251\) 16.4941 20.3078i 1.04110 1.28181i 0.0826377 0.996580i \(-0.473666\pi\)
0.958458 0.285234i \(-0.0920715\pi\)
\(252\) 3.51780 4.33118i 0.221601 0.272838i
\(253\) 0.470827 + 15.0419i 0.0296006 + 0.945678i
\(254\) 31.9787 + 12.6057i 2.00652 + 0.790953i
\(255\) 6.83646 + 10.9780i 0.428116 + 0.687466i
\(256\) −9.14765 9.92387i −0.571728 0.620242i
\(257\) −1.01913 + 2.63355i −0.0635715 + 0.164276i −0.960767 0.277358i \(-0.910541\pi\)
0.897195 + 0.441634i \(0.145601\pi\)
\(258\) 10.4810 28.1250i 0.652517 1.75099i
\(259\) −14.4436 + 5.07580i −0.897484 + 0.315395i
\(260\) −13.5535 + 6.14314i −0.840552 + 0.380981i
\(261\) −2.39308 0.643899i −0.148128 0.0398564i
\(262\) 18.4873 + 5.72671i 1.14215 + 0.353797i
\(263\) 5.79635 + 8.34580i 0.357418 + 0.514624i 0.958702 0.284411i \(-0.0917981\pi\)
−0.601284 + 0.799035i \(0.705344\pi\)
\(264\) 1.19636 17.3515i 0.0736310 1.06791i
\(265\) −3.06111 0.346290i −0.188043 0.0212724i
\(266\) −34.1948 35.2818i −2.09662 2.16327i
\(267\) 16.7009 + 11.4449i 1.02208 + 0.700417i
\(268\) −6.30345 17.5844i −0.385044 1.07414i
\(269\) −13.2648 + 15.5212i −0.808767 + 0.946345i −0.999376 0.0353212i \(-0.988755\pi\)
0.190609 + 0.981666i \(0.438954\pi\)
\(270\) −21.3134 0.266780i −1.29710 0.0162357i
\(271\) −4.55086 12.2119i −0.276445 0.741823i −0.998737 0.0502349i \(-0.984003\pi\)
0.722292 0.691588i \(-0.243089\pi\)
\(272\) −1.15959 1.39175i −0.0703106 0.0843870i
\(273\) −9.94391 11.6355i −0.601833 0.704210i
\(274\) −21.6437 + 37.8519i −1.30755 + 2.28671i
\(275\) −5.38536 + 7.16422i −0.324750 + 0.432019i
\(276\) −17.2866 + 3.96182i −1.04053 + 0.238474i
\(277\) 3.49719 7.58912i 0.210126 0.455986i −0.774063 0.633109i \(-0.781779\pi\)
0.984189 + 0.177123i \(0.0566790\pi\)
\(278\) −23.0894 45.5267i −1.38481 2.73051i
\(279\) 2.44218 + 0.153035i 0.146210 + 0.00916198i
\(280\) −13.8801 + 6.71492i −0.829497 + 0.401293i
\(281\) −1.23001 2.28183i −0.0733761 0.136122i 0.840933 0.541139i \(-0.182007\pi\)
−0.914309 + 0.405017i \(0.867266\pi\)
\(282\) −2.40407 0.333099i −0.143161 0.0198357i
\(283\) −19.9049 + 8.72328i −1.18322 + 0.518545i −0.898034 0.439926i \(-0.855005\pi\)
−0.285189 + 0.958471i \(0.592056\pi\)
\(284\) −25.1564 1.26051i −1.49276 0.0747977i
\(285\) −2.18110 + 16.5006i −0.129197 + 0.977410i
\(286\) 25.8408 + 6.60721i 1.52800 + 0.390693i
\(287\) −36.9545 21.4386i −2.18136 1.26548i
\(288\) 3.06510 0.385653i 0.180613 0.0227248i
\(289\) 3.81062 + 5.06932i 0.224154 + 0.298195i
\(290\) 14.3313 + 12.0934i 0.841561 + 0.710151i
\(291\) −2.08086 1.50389i −0.121982 0.0881594i
\(292\) 9.28752 6.36461i 0.543511 0.372461i
\(293\) 11.7196 + 2.37887i 0.684669 + 0.138975i 0.528728 0.848791i \(-0.322669\pi\)
0.155941 + 0.987766i \(0.450159\pi\)
\(294\) −12.2684 13.6483i −0.715507 0.795986i
\(295\) 14.8011 + 1.30011i 0.861751 + 0.0756953i
\(296\) 10.4576 + 4.73994i 0.607838 + 0.275503i
\(297\) 18.0478 + 14.8469i 1.04724 + 0.861504i
\(298\) −1.28803 + 0.145709i −0.0746133 + 0.00844068i
\(299\) −0.434962 9.92269i −0.0251545 0.573844i
\(300\) −9.50778 4.59967i −0.548932 0.265562i
\(301\) 25.4159 + 14.3225i 1.46495 + 0.825537i
\(302\) −8.31845 + 26.2712i −0.478673 + 1.51174i
\(303\) 10.3832 19.8532i 0.596502 1.14054i
\(304\) −0.0145902 2.33136i −0.000836804 0.133713i
\(305\) −7.29665 + 8.32461i −0.417805 + 0.476666i
\(306\) −5.56146 + 0.418440i −0.317927 + 0.0239206i
\(307\) −4.68533 + 3.95372i −0.267406 + 0.225651i −0.768673 0.639642i \(-0.779083\pi\)
0.501267 + 0.865293i \(0.332867\pi\)
\(308\) 45.1214 + 10.3411i 2.57103 + 0.589239i
\(309\) 5.08839 6.59563i 0.289468 0.375212i
\(310\) −16.2433 8.88751i −0.922557 0.504777i
\(311\) −1.23787 13.1480i −0.0701933 0.745555i −0.958271 0.285862i \(-0.907720\pi\)
0.888078 0.459694i \(-0.152041\pi\)
\(312\) −0.646184 + 11.4606i −0.0365829 + 0.648829i
\(313\) 19.7825 + 3.24755i 1.11817 + 0.183563i 0.692572 0.721349i \(-0.256478\pi\)
0.425599 + 0.904912i \(0.360063\pi\)
\(314\) 34.8394 8.44496i 1.96610 0.476576i
\(315\) 0.505090 2.96072i 0.0284586 0.166818i
\(316\) −35.6030 5.38799i −2.00282 0.303098i
\(317\) 0.127266 1.35175i 0.00714798 0.0759220i −0.991299 0.131627i \(-0.957980\pi\)
0.998447 + 0.0557053i \(0.0177407\pi\)
\(318\) −3.64470 + 5.39054i −0.204385 + 0.302287i
\(319\) −3.96366 20.1740i −0.221922 1.12953i
\(320\) −21.0308 6.80422i −1.17566 0.380367i
\(321\) 3.21852 2.58084i 0.179640 0.144048i
\(322\) −1.93842 28.1140i −0.108024 1.56673i
\(323\) −1.31557 + 30.0118i −0.0732003 + 1.66990i
\(324\) −10.7866 + 20.0105i −0.599253 + 1.11169i
\(325\) 3.49477 4.77235i 0.193855 0.264722i
\(326\) 1.83317 + 5.54728i 0.101530 + 0.307235i
\(327\) 7.82157 + 0.785805i 0.432534 + 0.0434551i
\(328\) 8.90445 + 30.7787i 0.491666 + 1.69947i
\(329\) 0.683915 2.25774i 0.0377054 0.124473i
\(330\) −11.0196 23.1466i −0.606609 1.27418i
\(331\) −7.74855 3.16703i −0.425899 0.174076i 0.155246 0.987876i \(-0.450383\pi\)
−0.581145 + 0.813800i \(0.697395\pi\)
\(332\) 52.5496 14.8472i 2.88403 0.814843i
\(333\) −1.93455 + 1.12230i −0.106013 + 0.0615017i
\(334\) 18.8162 14.3293i 1.02957 0.784065i
\(335\) −7.60292 6.58039i −0.415392 0.359525i
\(336\) 0.0644683 2.05962i 0.00351703 0.112362i
\(337\) 5.99507 13.9159i 0.326572 0.758045i −0.673254 0.739411i \(-0.735104\pi\)
0.999826 0.0186341i \(-0.00593176\pi\)
\(338\) 11.5654 + 2.80342i 0.629077 + 0.152486i
\(339\) 20.9616 + 8.87534i 1.13848 + 0.482042i
\(340\) 24.1324 + 9.16552i 1.30877 + 0.497070i
\(341\) 7.79805 + 18.7432i 0.422288 + 1.01500i
\(342\) −5.86963 4.13128i −0.317393 0.223394i
\(343\) −5.48147 + 3.55808i −0.295971 + 0.192118i
\(344\) −6.34305 20.9397i −0.341994 1.12899i
\(345\) −7.05955 + 6.42612i −0.380073 + 0.345971i
\(346\) 1.71563 3.60367i 0.0922330 0.193734i
\(347\) −17.7549 16.1618i −0.953135 0.867613i 0.0381606 0.999272i \(-0.487850\pi\)
−0.991295 + 0.131659i \(0.957970\pi\)
\(348\) 22.4275 9.16667i 1.20224 0.491385i
\(349\) 21.3167 16.6592i 1.14106 0.891746i 0.145826 0.989310i \(-0.453416\pi\)
0.995229 + 0.0975642i \(0.0311051\pi\)
\(350\) 9.57370 13.7846i 0.511736 0.736816i
\(351\) −12.0329 9.64879i −0.642266 0.515014i
\(352\) 14.0885 + 21.4097i 0.750918 + 1.14114i
\(353\) −8.82550 + 4.13409i −0.469734 + 0.220036i −0.644545 0.764566i \(-0.722953\pi\)
0.174811 + 0.984602i \(0.444069\pi\)
\(354\) 16.9223 26.4307i 0.899410 1.40477i
\(355\) −12.1301 + 6.05681i −0.643800 + 0.321462i
\(356\) 40.3620 2.02242i 2.13918 0.107188i
\(357\) −2.15776 + 26.4638i −0.114201 + 1.40062i
\(358\) 3.98748 0.757550i 0.210745 0.0400378i
\(359\) −4.37002 + 7.01735i −0.230641 + 0.370362i −0.943733 0.330708i \(-0.892712\pi\)
0.713092 + 0.701070i \(0.247294\pi\)
\(360\) −1.80898 + 1.34218i −0.0953419 + 0.0707393i
\(361\) −13.1441 + 14.6226i −0.691797 + 0.769608i
\(362\) −9.56905 + 8.93200i −0.502938 + 0.469455i
\(363\) −2.46578 + 10.4579i −0.129420 + 0.548899i
\(364\) −29.8622 6.45166i −1.56521 0.338159i
\(365\) 2.67342 5.43903i 0.139933 0.284692i
\(366\) 8.43857 + 21.8063i 0.441091 + 1.13983i
\(367\) 19.3973 0.242795i 1.01253 0.0126738i 0.495472 0.868624i \(-0.334995\pi\)
0.517058 + 0.855950i \(0.327027\pi\)
\(368\) 0.855962 1.02733i 0.0446201 0.0535532i
\(369\) −5.88826 2.06926i −0.306530 0.107721i
\(370\) 16.8584 1.48083i 0.876428 0.0769846i
\(371\) −4.62355 4.31574i −0.240043 0.224062i
\(372\) −19.9018 + 13.2755i −1.03186 + 0.688302i
\(373\) −1.25623 + 4.78806i −0.0650451 + 0.247916i −0.991809 0.127727i \(-0.959232\pi\)
0.926764 + 0.375644i \(0.122578\pi\)
\(374\) −23.4683 39.8762i −1.21352 2.06195i
\(375\) −19.0321 + 1.19261i −0.982812 + 0.0615863i
\(376\) −1.54133 + 0.868580i −0.0794881 + 0.0447936i
\(377\) 2.78237 + 13.2806i 0.143299 + 0.683986i
\(378\) −34.8154 26.5134i −1.79071 1.36370i
\(379\) −28.7124 3.61262i −1.47486 0.185568i −0.653911 0.756571i \(-0.726873\pi\)
−0.820948 + 0.571003i \(0.806554\pi\)
\(380\) 16.4912 + 28.8408i 0.845980 + 1.47950i
\(381\) 8.06700 22.5041i 0.413285 1.15292i
\(382\) 46.4262 33.5534i 2.37537 1.71674i
\(383\) 19.3712 + 1.45748i 0.989825 + 0.0744737i 0.560047 0.828461i \(-0.310783\pi\)
0.429778 + 0.902935i \(0.358592\pi\)
\(384\) −19.6389 + 19.2736i −1.00219 + 0.983551i
\(385\) 23.8923 7.07452i 1.21767 0.360551i
\(386\) 3.50856 + 19.1196i 0.178581 + 0.973163i
\(387\) 4.03821 + 1.36257i 0.205274 + 0.0692634i
\(388\) −5.12313 + 0.128272i −0.260088 + 0.00651203i
\(389\) −2.46869 9.91313i −0.125168 0.502616i −0.999840 0.0179006i \(-0.994302\pi\)
0.874672 0.484715i \(-0.161077\pi\)
\(390\) 7.46334 + 15.1840i 0.377921 + 0.768873i
\(391\) −11.6779 + 12.6688i −0.590576 + 0.640689i
\(392\) −13.1427 2.49687i −0.663806 0.126111i
\(393\) 3.57864 12.9760i 0.180518 0.654550i
\(394\) −24.4477 25.8650i −1.23166 1.30306i
\(395\) −18.1198 + 6.88190i −0.911705 + 0.346266i
\(396\) 6.75777 + 0.253866i 0.339591 + 0.0127573i
\(397\) −0.516964 + 0.139098i −0.0259457 + 0.00698114i −0.272776 0.962078i \(-0.587942\pi\)
0.246830 + 0.969059i \(0.420611\pi\)
\(398\) 0.638629 0.525365i 0.0320116 0.0263342i
\(399\) −23.7820 + 24.5381i −1.19059 + 1.22844i
\(400\) 0.780447 0.158416i 0.0390224 0.00792082i
\(401\) −3.45340 2.56227i −0.172455 0.127953i 0.506184 0.862425i \(-0.331055\pi\)
−0.678639 + 0.734472i \(0.737430\pi\)
\(402\) −19.7592 + 7.78890i −0.985498 + 0.388475i
\(403\) −5.30097 12.3047i −0.264060 0.612942i
\(404\) −7.52059 44.0840i −0.374163 2.19326i
\(405\) 0.229721 + 12.2344i 0.0114149 + 0.607930i
\(406\) 8.83511 + 37.4717i 0.438479 + 1.85969i
\(407\) −15.4358 10.2964i −0.765122 0.510373i
\(408\) 14.8923 13.2191i 0.737279 0.654441i
\(409\) −17.3271 19.7681i −0.856768 0.977471i 0.143157 0.989700i \(-0.454275\pi\)
−0.999925 + 0.0122288i \(0.996107\pi\)
\(410\) 33.7061 + 33.0792i 1.66463 + 1.63366i
\(411\) 26.7835 + 14.2219i 1.32113 + 0.701517i
\(412\) 0.104059 16.6275i 0.00512661 0.819179i
\(413\) 22.8136 + 20.2503i 1.12258 + 0.996454i
\(414\) −1.04476 3.98206i −0.0513473 0.195708i
\(415\) 20.7194 20.8495i 1.01708 1.02346i
\(416\) −9.47422 14.0125i −0.464512 0.687017i
\(417\) −31.1453 + 17.0411i −1.52519 + 0.834508i
\(418\) 9.27859 58.8209i 0.453831 2.87703i
\(419\) 17.5575 3.10845i 0.857739 0.151858i 0.271941 0.962314i \(-0.412335\pi\)
0.585799 + 0.810456i \(0.300781\pi\)
\(420\) 13.6087 + 26.0204i 0.664035 + 1.26967i
\(421\) 23.8527 12.6657i 1.16251 0.617287i 0.228151 0.973626i \(-0.426732\pi\)
0.934357 + 0.356338i \(0.115975\pi\)
\(422\) 50.4874 + 14.9493i 2.45769 + 0.727721i
\(423\) 0.0365953 0.342679i 0.00177932 0.0166616i
\(424\) 0.267022 + 4.73587i 0.0129678 + 0.229994i
\(425\) −10.1458 + 1.53541i −0.492142 + 0.0744785i
\(426\) −0.537636 + 28.6332i −0.0260486 + 1.38728i
\(427\) −22.2146 + 4.79941i −1.07504 + 0.232260i
\(428\) 1.98994 7.99068i 0.0961874 0.386244i
\(429\) 4.03072 18.1069i 0.194605 0.874209i
\(430\) −23.2974 22.2985i −1.12350 1.07533i
\(431\) 6.69653 + 19.4438i 0.322561 + 0.936573i 0.982664 + 0.185398i \(0.0593573\pi\)
−0.660103 + 0.751175i \(0.729487\pi\)
\(432\) −0.323554 2.05115i −0.0155670 0.0986858i
\(433\) 17.8357 + 23.1189i 0.857130 + 1.11102i 0.992742 + 0.120261i \(0.0383732\pi\)
−0.135612 + 0.990762i \(0.543300\pi\)
\(434\) −15.9096 34.5248i −0.763686 1.65725i
\(435\) 8.09488 10.2255i 0.388120 0.490273i
\(436\) 13.3710 8.21106i 0.640356 0.393238i
\(437\) −21.9649 + 3.04336i −1.05072 + 0.145584i
\(438\) −7.56328 10.3282i −0.361388 0.493500i
\(439\) −14.3554 + 20.1271i −0.685148 + 0.960612i 0.314787 + 0.949162i \(0.398067\pi\)
−0.999934 + 0.0114500i \(0.996355\pi\)
\(440\) −16.6134 8.55681i −0.792011 0.407930i
\(441\) 1.88254 1.80182i 0.0896447 0.0858012i
\(442\) 15.8168 + 26.1215i 0.752327 + 1.24247i
\(443\) 22.1927 23.4792i 1.05441 1.11553i 0.0613234 0.998118i \(-0.480468\pi\)
0.993083 0.117414i \(-0.0374604\pi\)
\(444\) 8.39927 20.1882i 0.398612 0.958092i
\(445\) 18.3932 11.6146i 0.871921 0.550586i
\(446\) −6.56675 3.07604i −0.310945 0.145655i
\(447\) 0.129315 + 0.892196i 0.00611638 + 0.0421994i
\(448\) −26.3518 36.9466i −1.24501 1.74556i
\(449\) 0.449774 1.36104i 0.0212262 0.0642314i −0.938341 0.345711i \(-0.887638\pi\)
0.959567 + 0.281479i \(0.0908251\pi\)
\(450\) 0.998163 2.23940i 0.0470539 0.105566i
\(451\) −6.14228 51.4134i −0.289229 2.42096i
\(452\) 44.0206 11.2556i 2.07055 0.529419i
\(453\) 18.4434 + 5.21091i 0.866544 + 0.244830i
\(454\) 19.7066 + 15.4009i 0.924878 + 0.722801i
\(455\) −15.7088 + 4.86603i −0.736438 + 0.228123i
\(456\) 25.6096 0.962064i 1.19928 0.0450528i
\(457\) −10.0053 + 4.23633i −0.468029 + 0.198167i −0.611113 0.791543i \(-0.709278\pi\)
0.143085 + 0.989710i \(0.454298\pi\)
\(458\) −22.9392 + 3.76577i −1.07188 + 0.175963i
\(459\) 2.84119 + 26.6049i 0.132615 + 1.24181i
\(460\) −3.43929 + 18.7421i −0.160358 + 0.873856i
\(461\) −3.40063 + 6.12385i −0.158383 + 0.285216i −0.941731 0.336368i \(-0.890801\pi\)
0.783347 + 0.621584i \(0.213511\pi\)
\(462\) 10.1469 51.6449i 0.472076 2.40274i
\(463\) −1.74732 1.75829i −0.0812049 0.0817147i 0.667536 0.744578i \(-0.267349\pi\)
−0.748741 + 0.662863i \(0.769341\pi\)
\(464\) −0.926573 + 1.57438i −0.0430151 + 0.0730890i
\(465\) −5.82469 + 11.4848i −0.270113 + 0.532597i
\(466\) 28.5392 + 36.0508i 1.32205 + 1.67002i
\(467\) 25.3127 + 9.25294i 1.17133 + 0.428175i 0.854067 0.520163i \(-0.174129\pi\)
0.317263 + 0.948338i \(0.397236\pi\)
\(468\) −4.46174 0.111712i −0.206244 0.00516390i
\(469\) −4.48569 20.1507i −0.207130 0.930475i
\(470\) −1.35069 + 2.23067i −0.0623025 + 0.102893i
\(471\) −6.62854 24.0347i −0.305427 1.10746i
\(472\) −1.85917 22.8019i −0.0855755 1.04954i
\(473\) 4.63338 + 35.0528i 0.213043 + 1.61173i
\(474\) −4.85661 + 40.6518i −0.223071 + 1.86720i
\(475\) −11.3392 6.76936i −0.520279 0.310600i
\(476\) 28.5772 + 44.6343i 1.30983 + 2.04581i
\(477\) −0.781245 0.493328i −0.0357708 0.0225879i
\(478\) 33.6121 23.6576i 1.53738 1.08207i
\(479\) −14.1948 + 35.3598i −0.648579 + 1.61563i 0.132489 + 0.991185i \(0.457703\pi\)
−0.781068 + 0.624446i \(0.785325\pi\)
\(480\) −4.51813 + 15.6172i −0.206224 + 0.712823i
\(481\) 10.2715 + 6.66737i 0.468342 + 0.304006i
\(482\) 16.9469 + 42.2152i 0.771909 + 1.92285i
\(483\) −19.5012 + 1.95921i −0.887333 + 0.0891472i
\(484\) 8.73149 + 19.5893i 0.396886 + 0.890421i
\(485\) −2.36858 + 1.41401i −0.107552 + 0.0642070i
\(486\) −10.6101 5.29782i −0.481283 0.240314i
\(487\) 3.43570 + 1.50569i 0.155686 + 0.0682293i 0.477785 0.878477i \(-0.341440\pi\)
−0.322098 + 0.946706i \(0.604388\pi\)
\(488\) 14.5246 + 8.91944i 0.657497 + 0.403764i
\(489\) 3.81628 1.39503i 0.172578 0.0630853i
\(490\) −18.6831 + 6.30406i −0.844018 + 0.284789i
\(491\) 13.2278 + 23.8206i 0.596962 + 1.07501i 0.987974 + 0.154623i \(0.0494162\pi\)
−0.391011 + 0.920386i \(0.627875\pi\)
\(492\) 58.0559 18.7832i 2.61736 0.846813i
\(493\) 12.9393 19.6634i 0.582758 0.885593i
\(494\) −5.63732 + 38.8942i −0.253635 + 1.74993i
\(495\) 3.23613 1.66679i 0.145453 0.0749165i
\(496\) 0.587376 1.70548i 0.0263740 0.0765783i
\(497\) −27.4098 4.85274i −1.22950 0.217675i
\(498\) −18.7419 59.1906i −0.839847 2.65239i
\(499\) −0.876323 + 4.18280i −0.0392296 + 0.187248i −0.993877 0.110490i \(-0.964758\pi\)
0.954648 + 0.297738i \(0.0962321\pi\)
\(500\) −28.7809 + 24.9101i −1.28712 + 1.11401i
\(501\) −10.3704 12.7682i −0.463315 0.570441i
\(502\) −59.3748 −2.65003
\(503\) −19.9168 10.3113i −0.888045 0.459757i
\(504\) −4.62461 −0.205997
\(505\) −15.1766 18.6857i −0.675349 0.831501i
\(506\) 25.8248 22.3516i 1.14805 0.993649i
\(507\) 1.69714 8.10067i 0.0753726 0.359763i
\(508\) −14.4046 45.4925i −0.639102 2.01840i
\(509\) −23.5637 4.17181i −1.04444 0.184912i −0.374424 0.927258i \(-0.622160\pi\)
−0.670017 + 0.742345i \(0.733713\pi\)
\(510\) 9.55751 27.7508i 0.423214 1.22882i
\(511\) 11.0617 5.69741i 0.489342 0.252039i
\(512\) 0.607539 4.19166i 0.0268497 0.185247i
\(513\) −18.9289 + 28.7655i −0.835733 + 1.27003i
\(514\) 6.09755 1.97278i 0.268951 0.0870155i
\(515\) −4.34526 7.82493i −0.191475 0.344808i
\(516\) −39.4803 + 13.3214i −1.73802 + 0.586443i
\(517\) 2.68532 0.981608i 0.118100 0.0431711i
\(518\) 29.6079 + 18.1820i 1.30089 + 0.798870i
\(519\) −2.54241 1.11420i −0.111599 0.0489082i
\(520\) 11.0343 + 5.50964i 0.483886 + 0.241614i
\(521\) 11.3910 6.80028i 0.499049 0.297926i −0.240946 0.970539i \(-0.577458\pi\)
0.739994 + 0.672613i \(0.234828\pi\)
\(522\) 2.28973 + 5.13704i 0.100219 + 0.224842i
\(523\) 19.5524 1.96436i 0.854965 0.0858953i 0.337215 0.941428i \(-0.390515\pi\)
0.517749 + 0.855532i \(0.326770\pi\)
\(524\) −10.0094 24.9337i −0.437263 1.08924i
\(525\) −9.79060 6.35519i −0.427297 0.277363i
\(526\) 6.40880 22.1523i 0.279437 0.965888i
\(527\) −8.65872 + 21.5691i −0.377180 + 0.939567i
\(528\) 2.04228 1.43744i 0.0888789 0.0625566i
\(529\) 8.69341 + 5.48957i 0.377974 + 0.238677i
\(530\) 3.76983 + 5.88805i 0.163751 + 0.255760i
\(531\) 3.82636 + 2.28428i 0.166050 + 0.0991295i
\(532\) −8.09126 + 67.7272i −0.350801 + 2.93635i
\(533\) 4.47815 + 33.8784i 0.193970 + 1.46743i
\(534\) −3.73406 45.7965i −0.161589 1.98181i
\(535\) −1.17847 4.27308i −0.0509498 0.184741i
\(536\) −8.01916 + 13.2437i −0.346375 + 0.572041i
\(537\) −0.613371 2.75540i −0.0264689 0.118904i
\(538\) 46.3221 + 1.15981i 1.99709 + 0.0500028i
\(539\) 20.3048 + 7.42233i 0.874589 + 0.319702i
\(540\) 18.3665 + 23.2006i 0.790368 + 0.998393i
\(541\) −13.0973 + 25.8247i −0.563098 + 1.11029i 0.416464 + 0.909152i \(0.363269\pi\)
−0.979563 + 0.201139i \(0.935536\pi\)
\(542\) −15.0016 + 25.4900i −0.644374 + 1.09489i
\(543\) 6.41726 + 6.45754i 0.275391 + 0.277120i
\(544\) −5.65698 + 28.7925i −0.242541 + 1.23447i
\(545\) 4.10042 7.38404i 0.175643 0.316297i
\(546\) −6.26960 + 34.1657i −0.268314 + 1.46216i
\(547\) −1.56335 14.6392i −0.0668440 0.625928i −0.977232 0.212173i \(-0.931946\pi\)
0.910388 0.413755i \(-0.135783\pi\)
\(548\) 59.7317 9.80575i 2.55161 0.418881i
\(549\) −3.05737 + 1.29452i −0.130486 + 0.0552487i
\(550\) 20.3262 0.763586i 0.866712 0.0325594i
\(551\) 28.9375 8.96384i 1.23278 0.381872i
\(552\) 11.5816 + 9.05115i 0.492946 + 0.385242i
\(553\) −38.2949 10.8197i −1.62847 0.460100i
\(554\) −18.3731 + 4.69781i −0.780598 + 0.199591i
\(555\) −1.39621 11.6869i −0.0592658 0.496079i
\(556\) −28.8506 + 64.7267i −1.22354 + 2.74502i
\(557\) 4.26534 12.9071i 0.180728 0.546893i −0.818906 0.573927i \(-0.805419\pi\)
0.999635 + 0.0270344i \(0.00860637\pi\)
\(558\) −3.22471 4.52120i −0.136513 0.191398i
\(559\) −3.34724 23.0940i −0.141573 0.976772i
\(560\) −2.00497 0.939179i −0.0847254 0.0396876i
\(561\) −27.2091 + 17.1816i −1.14877 + 0.725407i
\(562\) −2.25984 + 5.43169i −0.0953257 + 0.229122i
\(563\) 14.9577 15.8248i 0.630392 0.666936i −0.330518 0.943800i \(-0.607223\pi\)
0.960909 + 0.276864i \(0.0892950\pi\)
\(564\) 1.74515 + 2.88213i 0.0734842 + 0.121360i
\(565\) 17.6689 16.9113i 0.743336 0.711466i
\(566\) 43.8474 + 22.5839i 1.84304 + 0.949270i
\(567\) −14.5880 + 20.4531i −0.612639 + 0.858951i
\(568\) 12.3340 + 16.8430i 0.517524 + 0.706715i
\(569\) 9.22426 1.27808i 0.386701 0.0535797i 0.0587457 0.998273i \(-0.481290\pi\)
0.327955 + 0.944693i \(0.393640\pi\)
\(570\) 32.1888 19.7669i 1.34824 0.827945i
\(571\) −17.6322 + 22.2731i −0.737886 + 0.932098i −0.999452 0.0330871i \(-0.989466\pi\)
0.261566 + 0.965185i \(0.415761\pi\)
\(572\) −15.4965 33.6284i −0.647943 1.40608i
\(573\) −24.3347 31.5429i −1.01660 1.31773i
\(574\) 15.1079 + 95.7751i 0.630590 + 3.99758i
\(575\) −2.46650 7.16162i −0.102860 0.298660i
\(576\) −4.78940 4.58406i −0.199558 0.191002i
\(577\) −7.86628 + 35.3371i −0.327477 + 1.47110i 0.477939 + 0.878393i \(0.341384\pi\)
−0.805416 + 0.592710i \(0.798058\pi\)
\(578\) 3.47803 13.9662i 0.144667 0.580916i
\(579\) 13.2146 2.85498i 0.549179 0.118649i
\(580\) 0.488711 26.0276i 0.0202926 1.08074i
\(581\) 59.6684 9.02993i 2.47546 0.374625i
\(582\) 0.328008 + 5.81750i 0.0135964 + 0.241143i
\(583\) 0.813979 7.62211i 0.0337116 0.315676i
\(584\) −8.94768 2.64941i −0.370258 0.109633i
\(585\) −2.12184 + 1.12669i −0.0877273 + 0.0465829i
\(586\) −12.5779 24.0495i −0.519587 0.993475i
\(587\) −9.35212 + 1.65574i −0.386003 + 0.0683396i −0.363953 0.931417i \(-0.618573\pi\)
−0.0220502 + 0.999757i \(0.507019\pi\)
\(588\) −3.96968 + 25.1655i −0.163707 + 1.03781i
\(589\) −26.2413 + 14.3579i −1.08125 + 0.591607i
\(590\) −18.8872 27.9343i −0.777573 1.15004i
\(591\) −17.4480 + 17.5575i −0.717714 + 0.722219i
\(592\) 0.418395 + 1.59469i 0.0171959 + 0.0655413i
\(593\) −28.5584 25.3497i −1.17275 1.04099i −0.998414 0.0563005i \(-0.982070\pi\)
−0.174340 0.984686i \(-0.555779\pi\)
\(594\) 0.331916 53.0367i 0.0136187 2.17612i
\(595\) 25.1965 + 13.3792i 1.03295 + 0.548495i
\(596\) 1.28432 + 1.26043i 0.0526078 + 0.0516293i
\(597\) −0.379101 0.432510i −0.0155156 0.0177014i
\(598\) −16.8578 + 14.9637i −0.689369 + 0.611913i
\(599\) 19.6026 + 13.0759i 0.800939 + 0.534265i 0.886861 0.462037i \(-0.152881\pi\)
−0.0859212 + 0.996302i \(0.527383\pi\)
\(600\) 2.00892 + 8.52028i 0.0820137 + 0.347839i
\(601\) 0.315564 + 16.8062i 0.0128721 + 0.685539i 0.945668 + 0.325134i \(0.105409\pi\)
−0.932796 + 0.360405i \(0.882638\pi\)
\(602\) −11.1343 65.2665i −0.453798 2.66006i
\(603\) −1.19322 2.76972i −0.0485917 0.112792i
\(604\) 35.5900 14.0293i 1.44814 0.570843i
\(605\) 9.27135 + 6.87891i 0.376934 + 0.279667i
\(606\) −49.8307 + 10.1147i −2.02423 + 0.410882i
\(607\) −10.9051 + 11.2518i −0.442626 + 0.456697i −0.902121 0.431483i \(-0.857990\pi\)
0.459495 + 0.888180i \(0.348030\pi\)
\(608\) −29.1638 + 23.9915i −1.18275 + 0.972983i
\(609\) 25.8561 6.95703i 1.04774 0.281913i
\(610\) 25.1051 + 0.943112i 1.01648 + 0.0381855i
\(611\) −1.76401 + 0.669971i −0.0713641 + 0.0271041i
\(612\) 5.31840 + 5.62672i 0.214984 + 0.227447i
\(613\) −6.70250 + 24.3029i −0.270712 + 0.981586i 0.694366 + 0.719622i \(0.255685\pi\)
−0.965078 + 0.261964i \(0.915630\pi\)
\(614\) 13.6688 + 2.59683i 0.551630 + 0.104800i
\(615\) 22.2614 24.1504i 0.897668 0.973839i
\(616\) −16.9244 34.4323i −0.681902 1.38732i
\(617\) −5.73655 23.0353i −0.230945 0.927367i −0.967882 0.251406i \(-0.919107\pi\)
0.736937 0.675961i \(-0.236271\pi\)
\(618\) −18.8996 + 0.473206i −0.760255 + 0.0190351i
\(619\) 13.3325 + 4.49865i 0.535878 + 0.180816i 0.574600 0.818434i \(-0.305158\pi\)
−0.0387225 + 0.999250i \(0.512329\pi\)
\(620\) 4.63940 + 25.2821i 0.186323 + 1.01535i
\(621\) −18.9376 + 5.60742i −0.759939 + 0.225018i
\(622\) −21.3909 + 20.9930i −0.857696 + 0.841743i
\(623\) 44.5355 + 3.35082i 1.78428 + 0.134248i
\(624\) −1.33588 + 0.965476i −0.0534781 + 0.0386500i
\(625\) −3.33039 + 9.29064i −0.133216 + 0.371625i
\(626\) −22.5840 39.4962i −0.902636 1.57859i
\(627\) −41.0911 5.17011i −1.64102 0.206474i
\(628\) −39.5923 30.1513i −1.57991 1.20317i
\(629\) −4.35604 20.7919i −0.173687 0.829029i
\(630\) −5.93841 + 3.34645i −0.236592 + 0.133326i
\(631\) −42.7065 + 2.67613i −1.70012 + 0.106535i −0.882830 0.469692i \(-0.844365\pi\)
−0.817289 + 0.576227i \(0.804524\pi\)
\(632\) 15.1373 + 25.7205i 0.602129 + 1.02311i
\(633\) 9.29342 35.4214i 0.369380 1.40787i
\(634\) −2.56339 + 1.70991i −0.101805 + 0.0679090i
\(635\) −18.7771 17.5270i −0.745145 0.695537i
\(636\) 8.99869 0.790436i 0.356821 0.0313428i
\(637\) −13.4610 4.73047i −0.533344 0.187428i
\(638\) −29.8680 + 35.8477i −1.18249 + 1.41922i
\(639\) −4.06616 + 0.0508960i −0.160855 + 0.00201341i
\(640\) 10.6699 + 27.5724i 0.421766 + 1.08990i
\(641\) −1.74530 + 3.55078i −0.0689352 + 0.140247i −0.929172 0.369647i \(-0.879479\pi\)
0.860237 + 0.509894i \(0.170315\pi\)
\(642\) −9.15161 1.97718i −0.361185 0.0780331i
\(643\) −0.600331 + 2.54614i −0.0236748 + 0.100410i −0.983853 0.178977i \(-0.942721\pi\)
0.960178 + 0.279388i \(0.0901314\pi\)
\(644\) −28.5987 + 26.6947i −1.12695 + 1.05192i
\(645\) −14.9938 + 16.6803i −0.590380 + 0.656785i
\(646\) 54.7523 40.6236i 2.15420 1.59832i
\(647\) −22.8973 + 36.7684i −0.900187 + 1.44552i −0.00491970 + 0.999988i \(0.501566\pi\)
−0.895268 + 0.445529i \(0.853016\pi\)
\(648\) 18.5100 3.51657i 0.727142 0.138144i
\(649\) −3.00448 + 36.8485i −0.117936 + 1.44643i
\(650\) −13.4075 + 0.671811i −0.525886 + 0.0263506i
\(651\) −23.6536 + 11.8107i −0.927059 + 0.462899i
\(652\) 4.37324 6.83049i 0.171269 0.267503i
\(653\) 30.2317 14.1613i 1.18306 0.554174i 0.270339 0.962765i \(-0.412864\pi\)
0.912718 + 0.408591i \(0.133980\pi\)
\(654\) −9.80688 14.9031i −0.383479 0.582758i
\(655\) −11.2830 9.04748i −0.440862 0.353514i
\(656\) −2.62446 + 3.77880i −0.102468 + 0.147537i
\(657\) 1.43223 1.11930i 0.0558767 0.0436681i
\(658\) −4.95588 + 2.02559i −0.193200 + 0.0789659i
\(659\) 21.7386 + 19.7881i 0.846817 + 0.770835i 0.975302 0.220877i \(-0.0708918\pi\)
−0.128485 + 0.991711i \(0.541011\pi\)
\(660\) −15.2978 + 32.1329i −0.595467 + 1.25077i
\(661\) 28.9992 26.3972i 1.12794 1.02673i 0.128553 0.991703i \(-0.458967\pi\)
0.999386 0.0350303i \(-0.0111528\pi\)
\(662\) 5.50755 + 18.1816i 0.214057 + 0.706647i
\(663\) 17.8141 11.5633i 0.691843 0.449083i
\(664\) −37.0107 26.0496i −1.43629 1.01092i
\(665\) 14.1035 + 33.8987i 0.546910 + 1.31454i
\(666\) 4.74507 + 1.80218i 0.183868 + 0.0698330i
\(667\) 16.0002 + 6.77462i 0.619531 + 0.262315i
\(668\) −31.9094 7.73472i −1.23461 0.299265i
\(669\) −1.99541 + 4.63178i −0.0771470 + 0.179075i
\(670\) −0.713941 + 22.8089i −0.0275819 + 0.881184i
\(671\) −20.8271 18.0261i −0.804021 0.695888i
\(672\) −26.5546 + 20.2225i −1.02437 + 0.780099i
\(673\) −15.2192 + 8.82920i −0.586657 + 0.340341i −0.765400 0.643555i \(-0.777459\pi\)
0.178742 + 0.983896i \(0.442797\pi\)
\(674\) −33.0925 + 9.34983i −1.27468 + 0.360142i
\(675\) −10.8880 4.45018i −0.419077 0.171288i
\(676\) −7.10138 14.9164i −0.273130 0.573706i
\(677\) 8.28837 27.3616i 0.318548 1.05159i −0.640408 0.768035i \(-0.721235\pi\)
0.958955 0.283557i \(-0.0915145\pi\)
\(678\) −14.3570 49.6258i −0.551378 1.90587i
\(679\) −5.63515 0.566143i −0.216257 0.0217266i
\(680\) −6.71332 20.3148i −0.257444 0.779038i
\(681\) 10.2771 14.0341i 0.393819 0.537788i
\(682\) 21.8612 40.5553i 0.837107 1.55294i
\(683\) −0.957793 + 21.8499i −0.0366489 + 0.836063i 0.889052 + 0.457807i \(0.151365\pi\)
−0.925701 + 0.378257i \(0.876524\pi\)
\(684\) 0.685405 + 9.94081i 0.0262071 + 0.380096i
\(685\) 25.4197 20.3833i 0.971237 0.778806i
\(686\) 14.1110 + 4.56542i 0.538761 + 0.174309i
\(687\) 3.11689 + 15.8641i 0.118917 + 0.605254i
\(688\) 1.75970 2.60261i 0.0670878 0.0992234i
\(689\) −0.474206 + 5.03676i −0.0180658 + 0.191885i
\(690\) 21.4214 + 3.24181i 0.815498 + 0.123414i
\(691\) 2.61841 15.3485i 0.0996090 0.583886i −0.891731 0.452566i \(-0.850509\pi\)
0.991340 0.131320i \(-0.0419215\pi\)
\(692\) −5.38482 + 1.30526i −0.204700 + 0.0496186i
\(693\) 7.37480 + 1.21067i 0.280145 + 0.0459896i
\(694\) −3.06737 + 54.4023i −0.116436 + 2.06508i
\(695\) 3.57555 + 37.9776i 0.135628 + 1.44057i
\(696\) −17.6164 9.63881i −0.667748 0.365358i
\(697\) 36.2110 46.9372i 1.37159 1.77787i
\(698\) −59.8476 13.7161i −2.26527 0.519163i
\(699\) 24.4396 20.6234i 0.924391 0.780047i
\(700\) −23.2331 + 1.74805i −0.878130 + 0.0660699i
\(701\) 15.6285 17.8303i 0.590282 0.673442i −0.377273 0.926102i \(-0.623138\pi\)
0.967555 + 0.252660i \(0.0813055\pi\)
\(702\) 0.219058 + 35.0031i 0.00826780 + 1.32111i
\(703\) 12.6705 24.2266i 0.477877 0.913723i
\(704\) 16.6029 52.4351i 0.625746 1.97622i
\(705\) 1.58003 + 0.890387i 0.0595073 + 0.0335339i
\(706\) 19.9104 + 9.63224i 0.749338 + 0.362514i
\(707\) −2.16436 49.3751i −0.0813993 1.85694i
\(708\) −43.2921 + 4.89744i −1.62702 + 0.184057i
\(709\) −16.3237 13.4286i −0.613049 0.504321i 0.276589 0.960988i \(-0.410796\pi\)
−0.889638 + 0.456667i \(0.849043\pi\)
\(710\) 28.0258 + 12.7027i 1.05179 + 0.476726i
\(711\) −5.79109 0.508684i −0.217183 0.0190771i
\(712\) −22.3915 24.9100i −0.839157 0.933543i
\(713\) −16.8136 3.41285i −0.629673 0.127812i
\(714\) 49.7071 34.0636i 1.86024 1.27480i
\(715\) −16.1538 11.6748i −0.604120 0.436612i
\(716\) −4.30625 3.63383i −0.160932 0.135803i
\(717\) −17.1768 22.8506i −0.641480 0.853370i
\(718\) 18.6147 2.34212i 0.694695 0.0874071i
\(719\) −7.30524 4.23803i −0.272440 0.158052i 0.359324 0.933213i \(-0.383007\pi\)
−0.631764 + 0.775161i \(0.717669\pi\)
\(720\) −0.313361 0.0801230i −0.0116783 0.00298601i
\(721\) 2.40805 18.2175i 0.0896804 0.678456i
\(722\) 44.5664 + 2.23309i 1.65859 + 0.0831072i
\(723\) 28.9770 12.6991i 1.07767 0.472285i
\(724\) 18.0000 + 2.49401i 0.668966 + 0.0926892i
\(725\) 4.91005 + 9.10878i 0.182355 + 0.338292i
\(726\) 21.9512 10.6195i 0.814684 0.394127i
\(727\) −22.8031 1.42892i −0.845722 0.0529958i −0.366211 0.930532i \(-0.619345\pi\)
−0.479511 + 0.877536i \(0.659186\pi\)
\(728\) 11.4533 + 22.5830i 0.424486 + 0.836982i
\(729\) −12.5111 + 27.1499i −0.463375 + 1.00555i
\(730\) −13.4068 + 3.07262i −0.496207 + 0.113723i
\(731\) −24.3239 + 32.3584i −0.899651 + 1.19682i
\(732\) 16.1125 28.1786i 0.595536 1.04151i
\(733\) 3.14490 + 3.67987i 0.116159 + 0.135919i 0.815239 0.579125i \(-0.196606\pi\)
−0.699079 + 0.715044i \(0.746407\pi\)
\(734\) −28.1816 33.8236i −1.04020 1.24845i
\(735\) 4.78877 + 12.8503i 0.176636 + 0.473992i
\(736\) −21.6581 0.271093i −0.798327 0.00999263i
\(737\) 16.2551 19.0202i 0.598764 0.700618i
\(738\) 4.77970 + 13.3337i 0.175943 + 0.490820i
\(739\) 14.2772 + 9.78395i 0.525194 + 0.359908i 0.798477 0.602025i \(-0.205639\pi\)
−0.273283 + 0.961934i \(0.588110\pi\)
\(740\) −16.3506 16.8704i −0.601058 0.620166i
\(741\) 27.1598 + 3.07247i 0.997741 + 0.112870i
\(742\) −0.987347 + 14.3200i −0.0362466 + 0.525705i
\(743\) 2.30637 + 3.32079i 0.0846123 + 0.121828i 0.861384 0.507955i \(-0.169598\pi\)
−0.776772 + 0.629782i \(0.783144\pi\)
\(744\) 18.9401 + 5.86697i 0.694377 + 0.215094i
\(745\) 0.935365 + 0.251676i 0.0342691 + 0.00922071i
\(746\) 10.2323 4.63778i 0.374629 0.169801i
\(747\) 8.31738 2.92290i 0.304317 0.106943i
\(748\) −22.4301 + 60.1896i −0.820124 + 2.20075i
\(749\) 3.28435 8.48716i 0.120008 0.310114i
\(750\) 29.3323 + 31.8212i 1.07106 + 1.16195i
\(751\) −7.05323 11.3260i −0.257376 0.413293i 0.694632 0.719365i \(-0.255567\pi\)
−0.952009 + 0.306072i \(0.900985\pi\)
\(752\) −0.236343 0.0931646i −0.00861856 0.00339736i
\(753\) 1.29192 + 41.2742i 0.0470803 + 1.50411i
\(754\) 19.4146 23.9036i 0.707038 0.870517i
\(755\) 12.9824 15.9841i 0.472478 0.581723i
\(756\) 1.90065 + 60.7217i 0.0691259 + 2.20843i
\(757\) −46.5522 18.3505i −1.69197 0.666959i −0.693404 0.720549i \(-0.743890\pi\)
−0.998563 + 0.0535901i \(0.982934\pi\)
\(758\) 34.7180 + 55.7499i 1.26101 + 2.02493i
\(759\) −16.0995 17.4657i −0.584376 0.633963i
\(760\) 9.93752 25.6798i 0.360472 0.931503i
\(761\) −7.46398 + 20.0291i −0.270569 + 0.726054i 0.728586 + 0.684954i \(0.240178\pi\)
−0.999155 + 0.0411000i \(0.986914\pi\)
\(762\) −51.1865 + 17.9880i −1.85429 + 0.651637i
\(763\) 15.7940 7.15865i 0.571781 0.259160i
\(764\) −76.7898 20.6616i −2.77816 0.747512i
\(765\) 3.98099 + 1.23317i 0.143933 + 0.0445854i
\(766\) −25.1490 36.2105i −0.908672 1.30834i
\(767\) 1.67836 24.3422i 0.0606021 0.878945i
\(768\) 21.1683 + 2.39468i 0.763845 + 0.0864105i
\(769\) −12.7871 13.1936i −0.461114 0.475774i 0.446977 0.894545i \(-0.352501\pi\)
−0.908091 + 0.418772i \(0.862461\pi\)
\(770\) −46.6482 31.9673i −1.68108 1.15202i
\(771\) −1.50404 4.19576i −0.0541669 0.151107i
\(772\) 17.5323 20.5146i 0.631000 0.738338i
\(773\)