Properties

Label 99.2.e.e.34.2
Level 99
Weight 2
Character 99.34
Analytic conductor 0.791
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.508277025.1
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} - 15 x^{5} + 21 x^{4} + 3 x^{3} - 22 x^{2} + 3 x + 19\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 34.2
Root \(-0.577806 - 2.22188i\) of defining polynomial
Character \(\chi\) \(=\) 99.34
Dual form 99.2.e.e.67.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.07781 + 1.86682i) q^{2} +(-0.635299 - 1.61133i) q^{3} +(-1.32333 - 2.29208i) q^{4} +(-1.81197 - 3.13842i) q^{5} +(3.69279 + 0.550720i) q^{6} +(1.13530 - 1.96640i) q^{7} +1.39396 q^{8} +(-2.19279 + 2.04736i) q^{9} +O(q^{10})\) \(q+(-1.07781 + 1.86682i) q^{2} +(-0.635299 - 1.61133i) q^{3} +(-1.32333 - 2.29208i) q^{4} +(-1.81197 - 3.13842i) q^{5} +(3.69279 + 0.550720i) q^{6} +(1.13530 - 1.96640i) q^{7} +1.39396 q^{8} +(-2.19279 + 2.04736i) q^{9} +7.81179 q^{10} +(-0.500000 + 0.866025i) q^{11} +(-2.85259 + 3.58849i) q^{12} +(-0.619175 - 1.07244i) q^{13} +(2.44726 + 4.23879i) q^{14} +(-3.90590 + 4.91351i) q^{15} +(1.14425 - 1.98189i) q^{16} +5.69681 q^{17} +(-1.45863 - 6.30019i) q^{18} -2.89453 q^{19} +(-4.79567 + 8.30634i) q^{20} +(-3.88977 - 0.580097i) q^{21} +(-1.07781 - 1.86682i) q^{22} +(-2.95863 - 5.12450i) q^{23} +(-0.885582 - 2.24614i) q^{24} +(-4.06644 + 7.04328i) q^{25} +2.66940 q^{26} +(4.69205 + 2.23263i) q^{27} -6.00951 q^{28} +(1.75447 - 3.03884i) q^{29} +(-4.96282 - 12.5874i) q^{30} +(1.25447 + 2.17281i) q^{31} +(3.86051 + 6.68660i) q^{32} +(1.71311 + 0.255482i) q^{33} +(-6.14006 + 10.6349i) q^{34} -8.22849 q^{35} +(7.59450 + 2.31672i) q^{36} -0.333960 q^{37} +(3.11974 - 5.40355i) q^{38} +(-1.33470 + 1.67902i) q^{39} +(-2.52581 - 4.37483i) q^{40} +(4.98370 + 8.63203i) q^{41} +(5.27535 - 6.63625i) q^{42} +(3.57781 - 6.19694i) q^{43} +2.64667 q^{44} +(10.3987 + 3.17215i) q^{45} +12.7553 q^{46} +(4.34840 - 7.53166i) q^{47} +(-3.92042 - 0.584668i) q^{48} +(0.922194 + 1.59729i) q^{49} +(-8.76567 - 15.1826i) q^{50} +(-3.61917 - 9.17946i) q^{51} +(-1.63875 + 2.83840i) q^{52} +6.16513 q^{53} +(-9.22504 + 6.35284i) q^{54} +3.62393 q^{55} +(1.58256 - 2.74108i) q^{56} +(1.83889 + 4.66405i) q^{57} +(3.78196 + 6.55056i) q^{58} +(-1.45863 - 2.52642i) q^{59} +(16.4310 + 2.45041i) q^{60} +(-3.13530 + 5.43050i) q^{61} -5.40832 q^{62} +(1.53644 + 6.63625i) q^{63} -12.0666 q^{64} +(-2.24385 + 3.88646i) q^{65} +(-2.32333 + 2.92269i) q^{66} +(-4.68142 - 8.10846i) q^{67} +(-7.53877 - 13.0575i) q^{68} +(-6.37766 + 8.02293i) q^{69} +(8.86872 - 15.3611i) q^{70} -12.1230 q^{71} +(-3.05667 + 2.85394i) q^{72} +4.31271 q^{73} +(0.359945 - 0.623442i) q^{74} +(13.9325 + 2.07780i) q^{75} +(3.83043 + 6.63449i) q^{76} +(1.13530 + 1.96640i) q^{77} +(-1.69587 - 4.30130i) q^{78} +(-0.708348 + 1.22690i) q^{79} -8.29333 q^{80} +(0.616665 - 8.97885i) q^{81} -21.4859 q^{82} +(1.37840 - 2.38747i) q^{83} +(3.81784 + 9.68333i) q^{84} +(-10.3224 - 17.8790i) q^{85} +(7.71236 + 13.3582i) q^{86} +(-6.01119 - 0.896472i) q^{87} +(-0.696981 + 1.20721i) q^{88} +4.77116 q^{89} +(-17.1296 + 15.9935i) q^{90} -2.81179 q^{91} +(-7.83051 + 13.5628i) q^{92} +(2.70416 - 3.40176i) q^{93} +(9.37347 + 16.2353i) q^{94} +(5.24479 + 9.08424i) q^{95} +(8.32177 - 10.4686i) q^{96} +(1.27954 - 2.21624i) q^{97} -3.97578 q^{98} +(-0.676667 - 2.92269i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + 2q^{10} - 4q^{11} - 2q^{12} - 7q^{13} - q^{14} - q^{15} - 17q^{16} - 10q^{17} - 2q^{18} + 18q^{19} + 10q^{20} - 13q^{21} - q^{22} - 14q^{23} + 18q^{24} - 14q^{25} + 44q^{26} + 5q^{27} - 2q^{28} + 6q^{29} - 37q^{30} + 2q^{31} + 34q^{32} - 4q^{33} - 16q^{34} - 16q^{35} + 11q^{36} + 6q^{37} - 3q^{38} - 22q^{39} - 12q^{40} + 2q^{41} - q^{42} + 21q^{43} + 22q^{44} + 49q^{45} + 4q^{46} + 7q^{47} - 59q^{48} + 15q^{49} - 23q^{50} - 31q^{51} + 10q^{52} - 12q^{53} - 37q^{54} + 8q^{55} - 18q^{56} + 33q^{57} + 21q^{58} - 2q^{59} + 73q^{60} - 15q^{61} - 40q^{62} - 5q^{63} + 32q^{64} - 19q^{65} - 19q^{66} - 14q^{67} + 7q^{68} - 2q^{69} + 38q^{70} - 6q^{71} + 75q^{72} + 44q^{73} + 36q^{74} + 10q^{75} - 42q^{76} - q^{77} + 29q^{78} - 11q^{79} - 68q^{80} + 7q^{81} - 34q^{82} - 18q^{83} + 34q^{84} - 13q^{85} + 24q^{86} - 9q^{87} - 12q^{89} - 80q^{90} + 38q^{91} - 67q^{92} + 20q^{93} + 19q^{94} + 30q^{95} - 50q^{96} - 26q^{97} + 30q^{98} - 5q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.07781 + 1.86682i −0.762124 + 1.32004i 0.179629 + 0.983734i \(0.442510\pi\)
−0.941754 + 0.336303i \(0.890823\pi\)
\(3\) −0.635299 1.61133i −0.366790 0.930304i
\(4\) −1.32333 2.29208i −0.661667 1.14604i
\(5\) −1.81197 3.13842i −0.810336 1.40354i −0.912629 0.408788i \(-0.865951\pi\)
0.102294 0.994754i \(-0.467382\pi\)
\(6\) 3.69279 + 0.550720i 1.50758 + 0.224831i
\(7\) 1.13530 1.96640i 0.429103 0.743227i −0.567691 0.823242i \(-0.692163\pi\)
0.996794 + 0.0800141i \(0.0254965\pi\)
\(8\) 1.39396 0.492840
\(9\) −2.19279 + 2.04736i −0.730930 + 0.682452i
\(10\) 7.81179 2.47031
\(11\) −0.500000 + 0.866025i −0.150756 + 0.261116i
\(12\) −2.85259 + 3.58849i −0.823473 + 1.03591i
\(13\) −0.619175 1.07244i −0.171728 0.297442i 0.767296 0.641293i \(-0.221602\pi\)
−0.939024 + 0.343851i \(0.888268\pi\)
\(14\) 2.44726 + 4.23879i 0.654059 + 1.13286i
\(15\) −3.90590 + 4.91351i −1.00850 + 1.26866i
\(16\) 1.14425 1.98189i 0.286061 0.495473i
\(17\) 5.69681 1.38168 0.690839 0.723008i \(-0.257241\pi\)
0.690839 + 0.723008i \(0.257241\pi\)
\(18\) −1.45863 6.30019i −0.343803 1.48497i
\(19\) −2.89453 −0.664050 −0.332025 0.943271i \(-0.607732\pi\)
−0.332025 + 0.943271i \(0.607732\pi\)
\(20\) −4.79567 + 8.30634i −1.07234 + 1.85735i
\(21\) −3.88977 0.580097i −0.848818 0.126587i
\(22\) −1.07781 1.86682i −0.229789 0.398006i
\(23\) −2.95863 5.12450i −0.616917 1.06853i −0.990045 0.140752i \(-0.955048\pi\)
0.373127 0.927780i \(-0.378285\pi\)
\(24\) −0.885582 2.24614i −0.180769 0.458491i
\(25\) −4.06644 + 7.04328i −0.813288 + 1.40866i
\(26\) 2.66940 0.523513
\(27\) 4.69205 + 2.23263i 0.902986 + 0.429671i
\(28\) −6.00951 −1.13569
\(29\) 1.75447 3.03884i 0.325798 0.564298i −0.655876 0.754869i \(-0.727701\pi\)
0.981673 + 0.190571i \(0.0610339\pi\)
\(30\) −4.96282 12.5874i −0.906083 2.29813i
\(31\) 1.25447 + 2.17281i 0.225310 + 0.390248i 0.956412 0.292019i \(-0.0943272\pi\)
−0.731102 + 0.682268i \(0.760994\pi\)
\(32\) 3.86051 + 6.68660i 0.682448 + 1.18204i
\(33\) 1.71311 + 0.255482i 0.298213 + 0.0444737i
\(34\) −6.14006 + 10.6349i −1.05301 + 1.82387i
\(35\) −8.22849 −1.39087
\(36\) 7.59450 + 2.31672i 1.26575 + 0.386120i
\(37\) −0.333960 −0.0549027 −0.0274514 0.999623i \(-0.508739\pi\)
−0.0274514 + 0.999623i \(0.508739\pi\)
\(38\) 3.11974 5.40355i 0.506089 0.876572i
\(39\) −1.33470 + 1.67902i −0.213723 + 0.268858i
\(40\) −2.52581 4.37483i −0.399366 0.691722i
\(41\) 4.98370 + 8.63203i 0.778324 + 1.34810i 0.932907 + 0.360116i \(0.117263\pi\)
−0.154584 + 0.987980i \(0.549404\pi\)
\(42\) 5.27535 6.63625i 0.814005 1.02400i
\(43\) 3.57781 6.19694i 0.545610 0.945025i −0.452958 0.891532i \(-0.649631\pi\)
0.998568 0.0534929i \(-0.0170355\pi\)
\(44\) 2.64667 0.399000
\(45\) 10.3987 + 3.17215i 1.55015 + 0.472877i
\(46\) 12.7553 1.88067
\(47\) 4.34840 7.53166i 0.634280 1.09860i −0.352387 0.935854i \(-0.614630\pi\)
0.986667 0.162751i \(-0.0520366\pi\)
\(48\) −3.92042 0.584668i −0.565865 0.0843895i
\(49\) 0.922194 + 1.59729i 0.131742 + 0.228184i
\(50\) −8.76567 15.1826i −1.23965 2.14714i
\(51\) −3.61917 9.17946i −0.506786 1.28538i
\(52\) −1.63875 + 2.83840i −0.227254 + 0.393615i
\(53\) 6.16513 0.846845 0.423423 0.905932i \(-0.360829\pi\)
0.423423 + 0.905932i \(0.360829\pi\)
\(54\) −9.22504 + 6.35284i −1.25537 + 0.864513i
\(55\) 3.62393 0.488651
\(56\) 1.58256 2.74108i 0.211479 0.366292i
\(57\) 1.83889 + 4.66405i 0.243567 + 0.617769i
\(58\) 3.78196 + 6.55056i 0.496596 + 0.860130i
\(59\) −1.45863 2.52642i −0.189898 0.328912i 0.755318 0.655358i \(-0.227482\pi\)
−0.945216 + 0.326446i \(0.894149\pi\)
\(60\) 16.4310 + 2.45041i 2.12123 + 0.316347i
\(61\) −3.13530 + 5.43050i −0.401434 + 0.695304i −0.993899 0.110292i \(-0.964821\pi\)
0.592465 + 0.805596i \(0.298155\pi\)
\(62\) −5.40832 −0.686857
\(63\) 1.53644 + 6.63625i 0.193573 + 0.836089i
\(64\) −12.0666 −1.50832
\(65\) −2.24385 + 3.88646i −0.278315 + 0.482055i
\(66\) −2.32333 + 2.92269i −0.285983 + 0.359758i
\(67\) −4.68142 8.10846i −0.571927 0.990606i −0.996368 0.0851510i \(-0.972863\pi\)
0.424441 0.905456i \(-0.360471\pi\)
\(68\) −7.53877 13.0575i −0.914211 1.58346i
\(69\) −6.37766 + 8.02293i −0.767781 + 0.965847i
\(70\) 8.86872 15.3611i 1.06001 1.83600i
\(71\) −12.1230 −1.43874 −0.719369 0.694628i \(-0.755569\pi\)
−0.719369 + 0.694628i \(0.755569\pi\)
\(72\) −3.05667 + 2.85394i −0.360232 + 0.336340i
\(73\) 4.31271 0.504764 0.252382 0.967628i \(-0.418786\pi\)
0.252382 + 0.967628i \(0.418786\pi\)
\(74\) 0.359945 0.623442i 0.0418427 0.0724737i
\(75\) 13.9325 + 2.07780i 1.60878 + 0.239924i
\(76\) 3.83043 + 6.63449i 0.439380 + 0.761028i
\(77\) 1.13530 + 1.96640i 0.129379 + 0.224092i
\(78\) −1.69587 4.30130i −0.192019 0.487026i
\(79\) −0.708348 + 1.22690i −0.0796954 + 0.138037i −0.903119 0.429391i \(-0.858728\pi\)
0.823423 + 0.567428i \(0.192061\pi\)
\(80\) −8.29333 −0.927223
\(81\) 0.616665 8.97885i 0.0685184 0.997650i
\(82\) −21.4859 −2.37272
\(83\) 1.37840 2.38747i 0.151300 0.262059i −0.780406 0.625273i \(-0.784988\pi\)
0.931705 + 0.363215i \(0.118321\pi\)
\(84\) 3.81784 + 9.68333i 0.416560 + 1.05654i
\(85\) −10.3224 17.8790i −1.11962 1.93924i
\(86\) 7.71236 + 13.3582i 0.831646 + 1.44045i
\(87\) −6.01119 0.896472i −0.644468 0.0961119i
\(88\) −0.696981 + 1.20721i −0.0742984 + 0.128689i
\(89\) 4.77116 0.505742 0.252871 0.967500i \(-0.418625\pi\)
0.252871 + 0.967500i \(0.418625\pi\)
\(90\) −17.1296 + 15.9935i −1.80562 + 1.68587i
\(91\) −2.81179 −0.294756
\(92\) −7.83051 + 13.5628i −0.816387 + 1.41402i
\(93\) 2.70416 3.40176i 0.280408 0.352746i
\(94\) 9.37347 + 16.2353i 0.966800 + 1.67455i
\(95\) 5.24479 + 9.08424i 0.538104 + 0.932023i
\(96\) 8.32177 10.4686i 0.849337 1.06844i
\(97\) 1.27954 2.21624i 0.129918 0.225025i −0.793727 0.608275i \(-0.791862\pi\)
0.923645 + 0.383250i \(0.125195\pi\)
\(98\) −3.97578 −0.401615
\(99\) −0.676667 2.92269i −0.0680076 0.293741i
\(100\) 21.5250 2.15250
\(101\) 9.16681 15.8774i 0.912131 1.57986i 0.101084 0.994878i \(-0.467769\pi\)
0.811048 0.584980i \(-0.198898\pi\)
\(102\) 21.0371 + 3.13735i 2.08299 + 0.310644i
\(103\) 2.28122 + 3.95120i 0.224776 + 0.389323i 0.956252 0.292544i \(-0.0945017\pi\)
−0.731476 + 0.681867i \(0.761168\pi\)
\(104\) −0.863106 1.49494i −0.0846345 0.146591i
\(105\) 5.22755 + 13.2588i 0.510156 + 1.29393i
\(106\) −6.64481 + 11.5092i −0.645401 + 1.11787i
\(107\) −5.11014 −0.494016 −0.247008 0.969013i \(-0.579447\pi\)
−0.247008 + 0.969013i \(0.579447\pi\)
\(108\) −1.09177 13.7091i −0.105055 1.31916i
\(109\) 4.67891 0.448159 0.224079 0.974571i \(-0.428063\pi\)
0.224079 + 0.974571i \(0.428063\pi\)
\(110\) −3.90590 + 6.76521i −0.372413 + 0.645038i
\(111\) 0.212165 + 0.538121i 0.0201378 + 0.0510762i
\(112\) −2.59812 4.50008i −0.245499 0.425217i
\(113\) 0.765841 + 1.32648i 0.0720442 + 0.124784i 0.899797 0.436309i \(-0.143714\pi\)
−0.827753 + 0.561093i \(0.810381\pi\)
\(114\) −10.6889 1.59407i −1.00111 0.149299i
\(115\) −10.7219 + 18.5708i −0.999820 + 1.73174i
\(116\) −9.28701 −0.862277
\(117\) 3.55339 + 1.08397i 0.328511 + 0.100213i
\(118\) 6.28849 0.578902
\(119\) 6.46758 11.2022i 0.592882 1.02690i
\(120\) −5.44467 + 6.84925i −0.497028 + 0.625248i
\(121\) −0.500000 0.866025i −0.0454545 0.0787296i
\(122\) −6.75849 11.7060i −0.611885 1.05982i
\(123\) 10.7429 13.5143i 0.968658 1.21855i
\(124\) 3.32017 5.75071i 0.298160 0.516429i
\(125\) 11.3533 1.01547
\(126\) −14.0446 4.28435i −1.25120 0.381680i
\(127\) 8.72758 0.774447 0.387224 0.921986i \(-0.373434\pi\)
0.387224 + 0.921986i \(0.373434\pi\)
\(128\) 5.28439 9.15282i 0.467078 0.809003i
\(129\) −12.2583 1.82813i −1.07928 0.160958i
\(130\) −4.83686 8.37769i −0.424221 0.734772i
\(131\) 1.84439 + 3.19457i 0.161145 + 0.279111i 0.935280 0.353910i \(-0.115148\pi\)
−0.774135 + 0.633021i \(0.781815\pi\)
\(132\) −1.68142 4.26466i −0.146349 0.371191i
\(133\) −3.28615 + 5.69179i −0.284946 + 0.493541i
\(134\) 20.1827 1.74352
\(135\) −1.49490 18.7711i −0.128660 1.61556i
\(136\) 7.94113 0.680946
\(137\) −10.9843 + 19.0253i −0.938449 + 1.62544i −0.170085 + 0.985429i \(0.554404\pi\)
−0.768364 + 0.640013i \(0.778929\pi\)
\(138\) −8.10344 20.5531i −0.689811 1.74960i
\(139\) 0.644985 + 1.11715i 0.0547070 + 0.0947552i 0.892082 0.451874i \(-0.149244\pi\)
−0.837375 + 0.546629i \(0.815911\pi\)
\(140\) 10.8890 + 18.8604i 0.920291 + 1.59399i
\(141\) −14.8985 2.22188i −1.25468 0.187116i
\(142\) 13.0663 22.6314i 1.09650 1.89919i
\(143\) 1.23835 0.103556
\(144\) 1.54855 + 6.68855i 0.129045 + 0.557379i
\(145\) −12.7162 −1.05602
\(146\) −4.64826 + 8.05103i −0.384693 + 0.666308i
\(147\) 1.98789 2.50072i 0.163959 0.206256i
\(148\) 0.441941 + 0.765464i 0.0363273 + 0.0629207i
\(149\) 5.47234 + 9.47836i 0.448311 + 0.776498i 0.998276 0.0586899i \(-0.0186923\pi\)
−0.549965 + 0.835188i \(0.685359\pi\)
\(150\) −18.8954 + 23.7699i −1.54280 + 1.94080i
\(151\) −1.06886 + 1.85132i −0.0869826 + 0.150658i −0.906234 0.422776i \(-0.861056\pi\)
0.819252 + 0.573434i \(0.194389\pi\)
\(152\) −4.03486 −0.327271
\(153\) −12.4919 + 11.6634i −1.00991 + 0.942930i
\(154\) −4.89453 −0.394412
\(155\) 4.54612 7.87412i 0.365154 0.632464i
\(156\) 5.61470 + 0.837341i 0.449535 + 0.0670409i
\(157\) −4.75028 8.22773i −0.379114 0.656645i 0.611820 0.790997i \(-0.290438\pi\)
−0.990934 + 0.134353i \(0.957104\pi\)
\(158\) −1.52692 2.64471i −0.121476 0.210402i
\(159\) −3.91670 9.93407i −0.310614 0.787823i
\(160\) 13.9902 24.2318i 1.10602 1.91569i
\(161\) −13.4357 −1.05888
\(162\) 16.0972 + 10.8287i 1.26472 + 0.850780i
\(163\) −19.4713 −1.52511 −0.762556 0.646922i \(-0.776056\pi\)
−0.762556 + 0.646922i \(0.776056\pi\)
\(164\) 13.1902 22.8461i 1.02998 1.78398i
\(165\) −2.30228 5.83936i −0.179232 0.454594i
\(166\) 2.97131 + 5.14645i 0.230618 + 0.399442i
\(167\) 7.64900 + 13.2485i 0.591898 + 1.02520i 0.993977 + 0.109592i \(0.0349543\pi\)
−0.402079 + 0.915605i \(0.631712\pi\)
\(168\) −5.42219 0.808632i −0.418331 0.0623873i
\(169\) 5.73325 9.93027i 0.441019 0.763867i
\(170\) 44.5023 3.41317
\(171\) 6.34710 5.92613i 0.485375 0.453183i
\(172\) −18.9385 −1.44405
\(173\) −7.01045 + 12.1425i −0.532995 + 0.923174i 0.466263 + 0.884646i \(0.345600\pi\)
−0.999258 + 0.0385279i \(0.987733\pi\)
\(174\) 8.15245 10.2556i 0.618036 0.777472i
\(175\) 9.23325 + 15.9925i 0.697968 + 1.20892i
\(176\) 1.14425 + 1.98189i 0.0862507 + 0.149391i
\(177\) −3.14425 + 3.95538i −0.236336 + 0.297304i
\(178\) −5.14239 + 8.90688i −0.385439 + 0.667599i
\(179\) 3.94951 0.295200 0.147600 0.989047i \(-0.452845\pi\)
0.147600 + 0.989047i \(0.452845\pi\)
\(180\) −6.49014 28.0325i −0.483746 2.08942i
\(181\) 13.3662 0.993502 0.496751 0.867893i \(-0.334526\pi\)
0.496751 + 0.867893i \(0.334526\pi\)
\(182\) 3.03057 5.24910i 0.224641 0.389089i
\(183\) 10.7422 + 1.60202i 0.794086 + 0.118425i
\(184\) −4.12422 7.14336i −0.304042 0.526615i
\(185\) 0.605125 + 1.04811i 0.0444896 + 0.0770583i
\(186\) 3.43590 + 8.71460i 0.251932 + 0.638986i
\(187\) −2.84840 + 4.93358i −0.208296 + 0.360779i
\(188\) −23.0175 −1.67873
\(189\) 9.71712 6.69172i 0.706817 0.486751i
\(190\) −22.6115 −1.64041
\(191\) −9.46023 + 16.3856i −0.684518 + 1.18562i 0.289070 + 0.957308i \(0.406654\pi\)
−0.973588 + 0.228312i \(0.926679\pi\)
\(192\) 7.66587 + 19.4432i 0.553236 + 1.40320i
\(193\) 1.03225 + 1.78791i 0.0743029 + 0.128696i 0.900783 0.434270i \(-0.142994\pi\)
−0.826480 + 0.562966i \(0.809660\pi\)
\(194\) 2.75820 + 4.77734i 0.198027 + 0.342993i
\(195\) 7.68789 + 1.14652i 0.550541 + 0.0821043i
\(196\) 2.44074 4.22748i 0.174338 0.301963i
\(197\) −6.00148 −0.427588 −0.213794 0.976879i \(-0.568582\pi\)
−0.213794 + 0.976879i \(0.568582\pi\)
\(198\) 6.18544 + 1.88688i 0.439580 + 0.134095i
\(199\) 19.7132 1.39743 0.698717 0.715399i \(-0.253755\pi\)
0.698717 + 0.715399i \(0.253755\pi\)
\(200\) −5.66846 + 9.81806i −0.400821 + 0.694242i
\(201\) −10.0913 + 12.6946i −0.711788 + 0.895410i
\(202\) 19.7601 + 34.2255i 1.39031 + 2.40810i
\(203\) −3.98370 6.89998i −0.279601 0.484283i
\(204\) −16.2507 + 20.4429i −1.13777 + 1.43129i
\(205\) 18.0606 31.2819i 1.26141 2.18482i
\(206\) −9.83487 −0.685228
\(207\) 16.9793 + 5.17959i 1.18015 + 0.360006i
\(208\) −2.83395 −0.196499
\(209\) 1.44726 2.50674i 0.100109 0.173395i
\(210\) −30.3861 4.53159i −2.09684 0.312710i
\(211\) 5.84123 + 10.1173i 0.402127 + 0.696504i 0.993982 0.109540i \(-0.0349378\pi\)
−0.591856 + 0.806044i \(0.701605\pi\)
\(212\) −8.15852 14.1310i −0.560329 0.970519i
\(213\) 7.70174 + 19.5342i 0.527714 + 1.33846i
\(214\) 5.50774 9.53969i 0.376502 0.652120i
\(215\) −25.9314 −1.76851
\(216\) 6.54054 + 3.11221i 0.445027 + 0.211759i
\(217\) 5.69681 0.386724
\(218\) −5.04296 + 8.73467i −0.341553 + 0.591586i
\(219\) −2.73986 6.94921i −0.185142 0.469584i
\(220\) −4.79567 8.30634i −0.323324 0.560013i
\(221\) −3.52732 6.10949i −0.237273 0.410969i
\(222\) −1.23325 0.183919i −0.0827700 0.0123438i
\(223\) 9.06168 15.6953i 0.606815 1.05103i −0.384947 0.922939i \(-0.625780\pi\)
0.991762 0.128096i \(-0.0408865\pi\)
\(224\) 17.5313 1.17136
\(225\) −5.50325 23.7699i −0.366883 1.58466i
\(226\) −3.30171 −0.219627
\(227\) −8.75373 + 15.1619i −0.581006 + 1.00633i 0.414355 + 0.910115i \(0.364007\pi\)
−0.995360 + 0.0962159i \(0.969326\pi\)
\(228\) 8.25691 10.3870i 0.546827 0.687894i
\(229\) −2.27134 3.93407i −0.150094 0.259971i 0.781168 0.624321i \(-0.214624\pi\)
−0.931262 + 0.364350i \(0.881291\pi\)
\(230\) −23.1122 40.0315i −1.52397 2.63960i
\(231\) 2.44726 3.07859i 0.161018 0.202557i
\(232\) 2.44567 4.23602i 0.160566 0.278109i
\(233\) −8.16962 −0.535210 −0.267605 0.963529i \(-0.586232\pi\)
−0.267605 + 0.963529i \(0.586232\pi\)
\(234\) −5.85344 + 5.46521i −0.382651 + 0.357272i
\(235\) −31.5166 −2.05592
\(236\) −3.86051 + 6.68660i −0.251298 + 0.435261i
\(237\) 2.42695 + 0.361940i 0.157647 + 0.0235106i
\(238\) 13.9416 + 24.1475i 0.903699 + 1.56525i
\(239\) −9.30042 16.1088i −0.601594 1.04199i −0.992580 0.121595i \(-0.961199\pi\)
0.390985 0.920397i \(-0.372134\pi\)
\(240\) 5.26874 + 13.3633i 0.340096 + 0.862599i
\(241\) −14.1763 + 24.5541i −0.913177 + 1.58167i −0.103629 + 0.994616i \(0.533045\pi\)
−0.809548 + 0.587053i \(0.800288\pi\)
\(242\) 2.15561 0.138568
\(243\) −14.8597 + 4.71060i −0.953249 + 0.302185i
\(244\) 16.5962 1.06246
\(245\) 3.34197 5.78846i 0.213510 0.369811i
\(246\) 13.6499 + 34.6209i 0.870289 + 2.20735i
\(247\) 1.79222 + 3.10421i 0.114036 + 0.197516i
\(248\) 1.74869 + 3.02882i 0.111042 + 0.192330i
\(249\) −4.72270 0.704315i −0.299289 0.0446341i
\(250\) −12.2367 + 21.1946i −0.773917 + 1.34046i
\(251\) 4.93812 0.311691 0.155846 0.987781i \(-0.450190\pi\)
0.155846 + 0.987781i \(0.450190\pi\)
\(252\) 13.1776 12.3036i 0.830111 0.775055i
\(253\) 5.91726 0.372015
\(254\) −9.40664 + 16.2928i −0.590225 + 1.02230i
\(255\) −22.2511 + 27.9913i −1.39342 + 1.75289i
\(256\) −0.675465 1.16994i −0.0422166 0.0731212i
\(257\) −8.55675 14.8207i −0.533756 0.924492i −0.999222 0.0394264i \(-0.987447\pi\)
0.465467 0.885065i \(-0.345886\pi\)
\(258\) 16.6249 20.9136i 1.03502 1.30203i
\(259\) −0.379145 + 0.656698i −0.0235589 + 0.0408052i
\(260\) 11.8774 0.736606
\(261\) 2.37439 + 10.2556i 0.146971 + 0.634804i
\(262\) −7.95157 −0.491250
\(263\) 2.22279 3.84999i 0.137063 0.237400i −0.789321 0.613981i \(-0.789567\pi\)
0.926384 + 0.376581i \(0.122900\pi\)
\(264\) 2.38800 + 0.356132i 0.146971 + 0.0219184i
\(265\) −11.1710 19.3487i −0.686229 1.18858i
\(266\) −7.08368 12.2693i −0.434328 0.752278i
\(267\) −3.03111 7.68794i −0.185501 0.470494i
\(268\) −12.3902 + 21.4604i −0.756850 + 1.31090i
\(269\) 19.5899 1.19441 0.597207 0.802087i \(-0.296277\pi\)
0.597207 + 0.802087i \(0.296277\pi\)
\(270\) 36.6533 + 17.4409i 2.23065 + 1.06142i
\(271\) 6.77601 0.411613 0.205807 0.978593i \(-0.434018\pi\)
0.205807 + 0.978593i \(0.434018\pi\)
\(272\) 6.51855 11.2905i 0.395245 0.684584i
\(273\) 1.78633 + 4.53074i 0.108113 + 0.274213i
\(274\) −23.6778 41.0112i −1.43043 2.47758i
\(275\) −4.06644 7.04328i −0.245215 0.424726i
\(276\) 26.8290 + 4.00111i 1.61491 + 0.240838i
\(277\) −0.738261 + 1.27871i −0.0443578 + 0.0768300i −0.887352 0.461093i \(-0.847457\pi\)
0.842994 + 0.537923i \(0.180791\pi\)
\(278\) −2.78068 −0.166774
\(279\) −7.19932 2.19617i −0.431012 0.131481i
\(280\) −11.4702 −0.685476
\(281\) 3.67342 6.36255i 0.219138 0.379558i −0.735407 0.677626i \(-0.763009\pi\)
0.954545 + 0.298068i \(0.0963423\pi\)
\(282\) 20.2056 25.4181i 1.20322 1.51362i
\(283\) 7.35809 + 12.7446i 0.437393 + 0.757587i 0.997488 0.0708417i \(-0.0225685\pi\)
−0.560094 + 0.828429i \(0.689235\pi\)
\(284\) 16.0428 + 27.7869i 0.951964 + 1.64885i
\(285\) 11.3057 14.2223i 0.669694 0.842457i
\(286\) −1.33470 + 2.31177i −0.0789225 + 0.136698i
\(287\) 22.6320 1.33592
\(288\) −22.1552 6.75848i −1.30550 0.398247i
\(289\) 15.4536 0.909036
\(290\) 13.7056 23.7388i 0.804819 1.39399i
\(291\) −4.38399 0.653801i −0.256994 0.0383265i
\(292\) −5.70715 9.88507i −0.333985 0.578480i
\(293\) 0.988066 + 1.71138i 0.0577234 + 0.0999799i 0.893443 0.449176i \(-0.148283\pi\)
−0.835720 + 0.549156i \(0.814949\pi\)
\(294\) 2.52581 + 6.40631i 0.147308 + 0.373624i
\(295\) −5.28598 + 9.15559i −0.307762 + 0.533059i
\(296\) −0.465528 −0.0270583
\(297\) −4.27954 + 2.94712i −0.248324 + 0.171009i
\(298\) −23.5925 −1.36668
\(299\) −3.66382 + 6.34592i −0.211884 + 0.366994i
\(300\) −13.6748 34.6840i −0.789516 2.00248i
\(301\) −8.12376 14.0708i −0.468246 0.811025i
\(302\) −2.30405 3.99073i −0.132583 0.229641i
\(303\) −31.4074 4.68391i −1.80431 0.269083i
\(304\) −3.31205 + 5.73664i −0.189959 + 0.329019i
\(305\) 22.7242 1.30118
\(306\) −8.30954 35.8910i −0.475025 2.05175i
\(307\) 11.9708 0.683208 0.341604 0.939844i \(-0.389030\pi\)
0.341604 + 0.939844i \(0.389030\pi\)
\(308\) 3.00476 5.20439i 0.171212 0.296548i
\(309\) 4.91744 6.18600i 0.279743 0.351909i
\(310\) 9.79968 + 16.9736i 0.556585 + 0.964033i
\(311\) −1.69866 2.94217i −0.0963223 0.166835i 0.813837 0.581093i \(-0.197375\pi\)
−0.910160 + 0.414258i \(0.864041\pi\)
\(312\) −1.86052 + 2.34049i −0.105331 + 0.132504i
\(313\) 11.3482 19.6557i 0.641440 1.11101i −0.343672 0.939090i \(-0.611671\pi\)
0.985112 0.171917i \(-0.0549960\pi\)
\(314\) 20.4795 1.15573
\(315\) 18.0434 16.8466i 1.01663 0.949201i
\(316\) 3.74952 0.210927
\(317\) −7.42547 + 12.8613i −0.417056 + 0.722362i −0.995642 0.0932594i \(-0.970271\pi\)
0.578586 + 0.815621i \(0.303605\pi\)
\(318\) 22.7665 + 3.39526i 1.27668 + 0.190397i
\(319\) 1.75447 + 3.03884i 0.0982316 + 0.170142i
\(320\) 21.8642 + 37.8699i 1.22224 + 2.11699i
\(321\) 3.24647 + 8.23414i 0.181200 + 0.459585i
\(322\) 14.4811 25.0820i 0.807001 1.39777i
\(323\) −16.4896 −0.917504
\(324\) −21.3963 + 10.4686i −1.18868 + 0.581587i
\(325\) 10.0713 0.558658
\(326\) 20.9863 36.3494i 1.16233 2.01321i
\(327\) −2.97251 7.53929i −0.164380 0.416924i
\(328\) 6.94709 + 12.0327i 0.383589 + 0.664396i
\(329\) −9.87347 17.1014i −0.544342 0.942828i
\(330\) 13.3824 + 1.99577i 0.736678 + 0.109864i
\(331\) −8.10140 + 14.0320i −0.445293 + 0.771270i −0.998073 0.0620574i \(-0.980234\pi\)
0.552780 + 0.833328i \(0.313567\pi\)
\(332\) −7.29635 −0.400439
\(333\) 0.732305 0.683736i 0.0401301 0.0374685i
\(334\) −32.9766 −1.80440
\(335\) −16.9652 + 29.3845i −0.926906 + 1.60545i
\(336\) −5.60054 + 7.04533i −0.305535 + 0.384354i
\(337\) 5.63111 + 9.75337i 0.306746 + 0.531300i 0.977649 0.210246i \(-0.0674264\pi\)
−0.670903 + 0.741546i \(0.734093\pi\)
\(338\) 12.3587 + 21.4058i 0.672222 + 1.16432i
\(339\) 1.65086 2.07673i 0.0896622 0.112793i
\(340\) −27.3200 + 47.3196i −1.48163 + 2.56627i
\(341\) −2.50895 −0.135867
\(342\) 4.22205 + 18.2361i 0.228302 + 0.986094i
\(343\) 20.0820 1.08433
\(344\) 4.98733 8.63830i 0.268899 0.465746i
\(345\) 36.7354 + 5.47849i 1.97777 + 0.294952i
\(346\) −15.1118 26.1744i −0.812417 1.40715i
\(347\) 8.53718 + 14.7868i 0.458300 + 0.793798i 0.998871 0.0474996i \(-0.0151253\pi\)
−0.540572 + 0.841298i \(0.681792\pi\)
\(348\) 5.90003 + 14.9645i 0.316275 + 0.802180i
\(349\) −11.4862 + 19.8947i −0.614843 + 1.06494i 0.375569 + 0.926794i \(0.377447\pi\)
−0.990412 + 0.138145i \(0.955886\pi\)
\(350\) −39.8066 −2.12775
\(351\) −0.510828 6.41434i −0.0272660 0.342372i
\(352\) −7.72102 −0.411532
\(353\) 10.2567 17.7652i 0.545910 0.945544i −0.452639 0.891694i \(-0.649517\pi\)
0.998549 0.0538502i \(-0.0171494\pi\)
\(354\) −3.99507 10.1329i −0.212336 0.538555i
\(355\) 21.9665 + 38.0471i 1.16586 + 2.01933i
\(356\) −6.31384 10.9359i −0.334633 0.579601i
\(357\) −22.1593 3.30470i −1.17279 0.174903i
\(358\) −4.25681 + 7.37301i −0.224979 + 0.389676i
\(359\) −2.91840 −0.154027 −0.0770136 0.997030i \(-0.524538\pi\)
−0.0770136 + 0.997030i \(0.524538\pi\)
\(360\) 14.4954 + 4.42186i 0.763976 + 0.233052i
\(361\) −10.6217 −0.559037
\(362\) −14.4062 + 24.9522i −0.757172 + 1.31146i
\(363\) −1.07781 + 1.35585i −0.0565702 + 0.0711638i
\(364\) 3.72094 + 6.44485i 0.195030 + 0.337802i
\(365\) −7.81447 13.5351i −0.409028 0.708458i
\(366\) −14.5687 + 18.3270i −0.761517 + 0.957969i
\(367\) −3.37570 + 5.84688i −0.176210 + 0.305204i −0.940579 0.339574i \(-0.889717\pi\)
0.764369 + 0.644779i \(0.223050\pi\)
\(368\) −13.5416 −0.705905
\(369\) −28.6011 8.72482i −1.48891 0.454196i
\(370\) −2.60883 −0.135627
\(371\) 6.99926 12.1231i 0.363383 0.629399i
\(372\) −11.3756 1.69649i −0.589798 0.0879588i
\(373\) 11.1887 + 19.3794i 0.579330 + 1.00343i 0.995556 + 0.0941677i \(0.0300190\pi\)
−0.416227 + 0.909261i \(0.636648\pi\)
\(374\) −6.14006 10.6349i −0.317495 0.549917i
\(375\) −7.21276 18.2940i −0.372465 0.944698i
\(376\) 6.06151 10.4988i 0.312598 0.541436i
\(377\) −4.34530 −0.223794
\(378\) 2.01903 + 25.3524i 0.103848 + 1.30399i
\(379\) 33.0321 1.69674 0.848372 0.529401i \(-0.177583\pi\)
0.848372 + 0.529401i \(0.177583\pi\)
\(380\) 13.8812 24.0429i 0.712090 1.23338i
\(381\) −5.54462 14.0630i −0.284059 0.720471i
\(382\) −20.3926 35.3210i −1.04338 1.80718i
\(383\) −11.7421 20.3379i −0.599993 1.03922i −0.992821 0.119607i \(-0.961836\pi\)
0.392828 0.919612i \(-0.371497\pi\)
\(384\) −18.1054 2.70013i −0.923938 0.137790i
\(385\) 4.11424 7.12608i 0.209681 0.363179i
\(386\) −4.45026 −0.226512
\(387\) 4.84197 + 20.9136i 0.246131 + 1.06310i
\(388\) −6.77305 −0.343850
\(389\) 15.5207 26.8827i 0.786931 1.36300i −0.140908 0.990023i \(-0.545002\pi\)
0.927839 0.372982i \(-0.121665\pi\)
\(390\) −10.4264 + 13.1161i −0.527961 + 0.664161i
\(391\) −16.8548 29.1933i −0.852382 1.47637i
\(392\) 1.28550 + 2.22656i 0.0649277 + 0.112458i
\(393\) 3.97578 5.00143i 0.200552 0.252289i
\(394\) 6.46843 11.2037i 0.325875 0.564432i
\(395\) 5.13401 0.258320
\(396\) −5.80359 + 5.41867i −0.291641 + 0.272298i
\(397\) 17.3804 0.872297 0.436148 0.899875i \(-0.356342\pi\)
0.436148 + 0.899875i \(0.356342\pi\)
\(398\) −21.2470 + 36.8009i −1.06502 + 1.84466i
\(399\) 11.2591 + 1.67911i 0.563658 + 0.0840604i
\(400\) 9.30601 + 16.1185i 0.465300 + 0.805924i
\(401\) 5.77396 + 10.0008i 0.288338 + 0.499416i 0.973413 0.229057i \(-0.0735641\pi\)
−0.685075 + 0.728472i \(0.740231\pi\)
\(402\) −12.8220 32.5210i −0.639505 1.62200i
\(403\) 1.55348 2.69070i 0.0773841 0.134033i
\(404\) −48.5230 −2.41411
\(405\) −29.2967 + 14.3340i −1.45577 + 0.712263i
\(406\) 17.1746 0.852363
\(407\) 0.166980 0.289218i 0.00827690 0.0143360i
\(408\) −5.04499 12.7958i −0.249764 0.633487i
\(409\) −17.3678 30.0819i −0.858783 1.48746i −0.873091 0.487558i \(-0.837888\pi\)
0.0143082 0.999898i \(-0.495445\pi\)
\(410\) 38.9316 + 67.4316i 1.92270 + 3.33021i
\(411\) 37.6344 + 5.61256i 1.85637 + 0.276847i
\(412\) 6.03764 10.4575i 0.297453 0.515204i
\(413\) −6.62393 −0.325942
\(414\) −27.9698 + 26.1147i −1.37464 + 1.28347i
\(415\) −9.99049 −0.490414
\(416\) 4.78066 8.28035i 0.234391 0.405977i
\(417\) 1.39034 1.74901i 0.0680852 0.0856493i
\(418\) 3.11974 + 5.40355i 0.152592 + 0.264296i
\(419\) 3.71535 + 6.43518i 0.181507 + 0.314379i 0.942394 0.334505i \(-0.108569\pi\)
−0.760887 + 0.648884i \(0.775236\pi\)
\(420\) 23.4725 29.5278i 1.14534 1.44081i
\(421\) −5.92789 + 10.2674i −0.288908 + 0.500403i −0.973549 0.228477i \(-0.926625\pi\)
0.684642 + 0.728880i \(0.259959\pi\)
\(422\) −25.1828 −1.22588
\(423\) 5.88484 + 25.4181i 0.286131 + 1.23587i
\(424\) 8.59395 0.417359
\(425\) −23.1657 + 40.1242i −1.12370 + 1.94631i
\(426\) −44.7678 6.67639i −2.16901 0.323472i
\(427\) 7.11900 + 12.3305i 0.344513 + 0.596713i
\(428\) 6.76242 + 11.7129i 0.326874 + 0.566162i
\(429\) −0.786722 1.99539i −0.0379833 0.0963385i
\(430\) 27.9491 48.4092i 1.34782 2.33450i
\(431\) 24.7496 1.19214 0.596072 0.802931i \(-0.296727\pi\)
0.596072 + 0.802931i \(0.296727\pi\)
\(432\) 9.79370 6.74445i 0.471199 0.324493i
\(433\) 19.0608 0.916003 0.458002 0.888951i \(-0.348565\pi\)
0.458002 + 0.888951i \(0.348565\pi\)
\(434\) −6.14006 + 10.6349i −0.294732 + 0.510491i
\(435\) 8.07857 + 20.4900i 0.387338 + 0.982421i
\(436\) −6.19176 10.7244i −0.296532 0.513608i
\(437\) 8.56384 + 14.8330i 0.409664 + 0.709559i
\(438\) 15.9259 + 2.37509i 0.760970 + 0.113486i
\(439\) 17.3742 30.0931i 0.829227 1.43626i −0.0694179 0.997588i \(-0.522114\pi\)
0.898645 0.438676i \(-0.144552\pi\)
\(440\) 5.05162 0.240827
\(441\) −5.29239 1.61446i −0.252019 0.0768789i
\(442\) 15.2071 0.723326
\(443\) 0.679943 1.17770i 0.0323051 0.0559540i −0.849421 0.527716i \(-0.823049\pi\)
0.881726 + 0.471762i \(0.156382\pi\)
\(444\) 0.952653 1.19841i 0.0452109 0.0568741i
\(445\) −8.64519 14.9739i −0.409821 0.709831i
\(446\) 19.5335 + 33.8330i 0.924937 + 1.60204i
\(447\) 11.7962 14.8393i 0.557943 0.701877i
\(448\) −13.6991 + 23.7276i −0.647224 + 1.12102i
\(449\) 31.7261 1.49725 0.748623 0.662995i \(-0.230715\pi\)
0.748623 + 0.662995i \(0.230715\pi\)
\(450\) 50.3054 + 15.3458i 2.37142 + 0.723407i
\(451\) −9.96741 −0.469347
\(452\) 2.02692 3.51074i 0.0953385 0.165131i
\(453\) 3.66214 + 0.546149i 0.172062 + 0.0256603i
\(454\) −18.8697 32.6832i −0.885597 1.53390i
\(455\) 5.09487 + 8.82458i 0.238851 + 0.413702i
\(456\) 2.56334 + 6.50151i 0.120040 + 0.304461i
\(457\) −17.6912 + 30.6421i −0.827561 + 1.43338i 0.0723859 + 0.997377i \(0.476939\pi\)
−0.899946 + 0.436000i \(0.856395\pi\)
\(458\) 9.79225 0.457562
\(459\) 26.7297 + 12.7189i 1.24764 + 0.593667i
\(460\) 56.7545 2.64619
\(461\) 15.6183 27.0518i 0.727419 1.25993i −0.230551 0.973060i \(-0.574053\pi\)
0.957971 0.286867i \(-0.0926137\pi\)
\(462\) 3.10949 + 7.88672i 0.144666 + 0.366923i
\(463\) 0.119348 + 0.206717i 0.00554657 + 0.00960693i 0.868785 0.495189i \(-0.164901\pi\)
−0.863239 + 0.504796i \(0.831568\pi\)
\(464\) −4.01510 6.95435i −0.186396 0.322848i
\(465\) −15.5760 2.32291i −0.722319 0.107722i
\(466\) 8.80527 15.2512i 0.407896 0.706497i
\(467\) 1.40269 0.0649087 0.0324543 0.999473i \(-0.489668\pi\)
0.0324543 + 0.999473i \(0.489668\pi\)
\(468\) −2.21777 9.57911i −0.102517 0.442794i
\(469\) −21.2593 −0.981661
\(470\) 33.9688 58.8357i 1.56687 2.71389i
\(471\) −10.2398 + 12.8814i −0.471824 + 0.593542i
\(472\) −2.03328 3.52174i −0.0935892 0.162101i
\(473\) 3.57781 + 6.19694i 0.164508 + 0.284936i
\(474\) −3.29146 + 4.14057i −0.151182 + 0.190183i
\(475\) 11.7704 20.3870i 0.540064 0.935418i
\(476\) −34.2350 −1.56916
\(477\) −13.5188 + 12.6222i −0.618985 + 0.577931i
\(478\) 40.0962 1.83396
\(479\) −12.4665 + 21.5926i −0.569609 + 0.986591i 0.426996 + 0.904254i \(0.359572\pi\)
−0.996605 + 0.0823374i \(0.973761\pi\)
\(480\) −47.9335 7.14850i −2.18785 0.326283i
\(481\) 0.206780 + 0.358153i 0.00942834 + 0.0163304i
\(482\) −30.5587 52.9291i −1.39191 2.41086i
\(483\) 8.53570 + 21.6494i 0.388388 + 0.985083i
\(484\) −1.32333 + 2.29208i −0.0601515 + 0.104185i
\(485\) −9.27396 −0.421109
\(486\) 7.22205 32.8174i 0.327599 1.48863i
\(487\) −16.0432 −0.726989 −0.363494 0.931596i \(-0.618416\pi\)
−0.363494 + 0.931596i \(0.618416\pi\)
\(488\) −4.37049 + 7.56991i −0.197843 + 0.342673i
\(489\) 12.3701 + 31.3748i 0.559396 + 1.41882i
\(490\) 7.20399 + 12.4777i 0.325443 + 0.563684i
\(491\) −5.03989 8.72934i −0.227447 0.393950i 0.729604 0.683870i \(-0.239704\pi\)
−0.957051 + 0.289920i \(0.906371\pi\)
\(492\) −45.1924 6.73971i −2.03743 0.303850i
\(493\) 9.99490 17.3117i 0.450148 0.779678i
\(494\) −7.72666 −0.347639
\(495\) −7.94652 + 7.41948i −0.357170 + 0.333481i
\(496\) 5.74170 0.257810
\(497\) −13.7632 + 23.8386i −0.617366 + 1.06931i
\(498\) 6.40499 8.05730i 0.287014 0.361056i
\(499\) −16.6268 28.7985i −0.744319 1.28920i −0.950512 0.310687i \(-0.899441\pi\)
0.206193 0.978511i \(-0.433893\pi\)
\(500\) −15.0242 26.0228i −0.671905 1.16377i
\(501\) 16.4883 20.7418i 0.736642 0.926676i
\(502\) −5.32233 + 9.21855i −0.237547 + 0.411444i
\(503\) −23.0498 −1.02774 −0.513870 0.857868i \(-0.671789\pi\)
−0.513870 + 0.857868i \(0.671789\pi\)
\(504\) 2.14174 + 9.25069i 0.0954005 + 0.412058i
\(505\) −66.4398 −2.95653
\(506\) −6.37766 + 11.0464i −0.283522 + 0.491074i
\(507\) −19.6433 2.92948i −0.872390 0.130103i
\(508\) −11.5495 20.0043i −0.512426 0.887547i
\(509\) 7.94615 + 13.7631i 0.352207 + 0.610040i 0.986636 0.162941i \(-0.0520980\pi\)
−0.634429 + 0.772981i \(0.718765\pi\)
\(510\) −28.2722 71.7080i −1.25192 3.17528i
\(511\) 4.89621 8.48048i 0.216596 0.375155i
\(512\) 24.0496 1.06285
\(513\) −13.5813 6.46243i −0.599628 0.285323i
\(514\) 36.8901 1.62715
\(515\) 8.26700 14.3189i 0.364288 0.630965i
\(516\) 12.0316 + 30.5163i 0.529662 + 1.34340i
\(517\) 4.34840 + 7.53166i 0.191243 + 0.331242i
\(518\) −0.817289 1.41559i −0.0359096 0.0621973i
\(519\) 24.0193 + 3.58209i 1.05433 + 0.157236i
\(520\) −3.12784 + 5.41757i −0.137165 + 0.237576i
\(521\) −4.07140 −0.178371 −0.0891855 0.996015i \(-0.528426\pi\)
−0.0891855 + 0.996015i \(0.528426\pi\)
\(522\) −21.7044 6.62097i −0.949975 0.289792i
\(523\) 1.94690 0.0851319 0.0425659 0.999094i \(-0.486447\pi\)
0.0425659 + 0.999094i \(0.486447\pi\)
\(524\) 4.88148 8.45497i 0.213248 0.369357i
\(525\) 19.9033 25.0378i 0.868651 1.09274i
\(526\) 4.79148 + 8.29908i 0.208918 + 0.361857i
\(527\) 7.14649 + 12.3781i 0.311306 + 0.539198i
\(528\) 2.46655 3.10285i 0.107343 0.135034i
\(529\) −6.00700 + 10.4044i −0.261174 + 0.452367i
\(530\) 48.1607 2.09197
\(531\) 8.37097 + 2.55358i 0.363269 + 0.110816i
\(532\) 17.3947 0.754156
\(533\) 6.17156 10.6895i 0.267320 0.463012i
\(534\) 17.6189 + 2.62758i 0.762445 + 0.113706i
\(535\) 9.25940 + 16.0378i 0.400319 + 0.693373i
\(536\) −6.52573 11.3029i −0.281868 0.488210i
\(537\) −2.50912 6.36398i −0.108277 0.274626i
\(538\) −21.1141 + 36.5706i −0.910292 + 1.57667i
\(539\) −1.84439 −0.0794434
\(540\) −41.0465 + 28.2668i −1.76636 + 1.21641i
\(541\) −39.4039 −1.69411 −0.847053 0.531508i \(-0.821626\pi\)
−0.847053 + 0.531508i \(0.821626\pi\)
\(542\) −7.30322 + 12.6496i −0.313700 + 0.543345i
\(543\) −8.49154 21.5374i −0.364407 0.924259i
\(544\) 21.9926 + 38.0923i 0.942925 + 1.63319i
\(545\) −8.47803 14.6844i −0.363159 0.629010i
\(546\) −10.3834 1.54851i −0.444367 0.0662701i
\(547\) 12.5777 21.7853i 0.537785 0.931470i −0.461238 0.887276i \(-0.652595\pi\)
0.999023 0.0441939i \(-0.0140719\pi\)
\(548\) 58.1434 2.48376
\(549\) −4.24311 18.3270i −0.181091 0.782178i
\(550\) 17.5313 0.747539
\(551\) −5.07837 + 8.79600i −0.216346 + 0.374722i
\(552\) −8.89022 + 11.1837i −0.378393 + 0.476008i
\(553\) 1.60837 + 2.78579i 0.0683950 + 0.118464i
\(554\) −1.59140 2.75639i −0.0676123 0.117108i
\(555\) 1.30441 1.64092i 0.0553693 0.0696531i
\(556\) 1.70706 2.95672i 0.0723955 0.125393i
\(557\) −30.0269 −1.27228 −0.636140 0.771574i \(-0.719470\pi\)
−0.636140 + 0.771574i \(0.719470\pi\)
\(558\) 11.8593 11.0728i 0.502045 0.468747i
\(559\) −8.86115 −0.374787
\(560\) −9.41541 + 16.3080i −0.397874 + 0.689137i
\(561\) 9.75923 + 1.45543i 0.412035 + 0.0614484i
\(562\) 7.91847 + 13.7152i 0.334020 + 0.578540i
\(563\) −9.16988 15.8827i −0.386464 0.669376i 0.605507 0.795840i \(-0.292970\pi\)
−0.991971 + 0.126464i \(0.959637\pi\)
\(564\) 14.6230 + 37.0889i 0.615740 + 1.56173i
\(565\) 2.77535 4.80705i 0.116760 0.202234i
\(566\) −31.7224 −1.33339
\(567\) −16.9559 11.4063i −0.712079 0.479019i
\(568\) −16.8990 −0.709067
\(569\) −16.1135 + 27.9094i −0.675513 + 1.17002i 0.300805 + 0.953686i \(0.402745\pi\)
−0.976319 + 0.216338i \(0.930589\pi\)
\(570\) 14.3650 + 36.4346i 0.601685 + 1.52608i
\(571\) 18.6411 + 32.2873i 0.780105 + 1.35118i 0.931880 + 0.362767i \(0.118168\pi\)
−0.151775 + 0.988415i \(0.548499\pi\)
\(572\) −1.63875 2.83840i −0.0685195 0.118679i
\(573\) 32.4127 + 4.83383i 1.35406 + 0.201936i
\(574\) −24.3929 + 42.2497i −1.01814 + 1.76347i
\(575\) 48.1244 2.00693
\(576\) 26.4594 24.7045i 1.10248 1.02936i
\(577\) −2.91538 −0.121369 −0.0606845 0.998157i \(-0.519328\pi\)
−0.0606845 + 0.998157i \(0.519328\pi\)
\(578\) −16.6560 + 28.8490i −0.692799 + 1.19996i
\(579\) 2.22513 2.79915i 0.0924731 0.116329i
\(580\) 16.8277 + 29.1465i 0.698734 + 1.21024i
\(581\) −3.12980 5.42098i −0.129846 0.224900i
\(582\) 5.94561 7.47942i 0.246454 0.310032i
\(583\) −3.08256 + 5.33916i −0.127667 + 0.221125i
\(584\) 6.01175 0.248768
\(585\) −3.03667 13.1161i −0.125551 0.542286i
\(586\) −4.25977 −0.175970
\(587\) 9.62094 16.6640i 0.397099 0.687795i −0.596268 0.802786i \(-0.703350\pi\)
0.993367 + 0.114990i \(0.0366837\pi\)
\(588\) −8.36248 1.24713i −0.344863 0.0514307i
\(589\) −3.63111 6.28927i −0.149617 0.259145i
\(590\) −11.3945 19.7359i −0.469105 0.812514i
\(591\) 3.81273 + 9.67039i 0.156835 + 0.397787i
\(592\) −0.382133 + 0.661873i −0.0157056 + 0.0272028i
\(593\) 14.7811 0.606986 0.303493 0.952834i \(-0.401847\pi\)
0.303493 + 0.952834i \(0.401847\pi\)
\(594\) −0.889205 11.1655i −0.0364845 0.458128i
\(595\) −46.8761 −1.92173
\(596\) 14.4834 25.0861i 0.593265 1.02757i
\(597\) −12.5238 31.7646i −0.512564 1.30004i
\(598\) −7.89777 13.6793i −0.322964 0.559390i
\(599\) 8.74025 + 15.1386i 0.357117 + 0.618545i 0.987478 0.157758i \(-0.0504264\pi\)
−0.630361 + 0.776302i \(0.717093\pi\)
\(600\) 19.4213 + 2.89638i 0.792873 + 0.118244i
\(601\) −11.8922 + 20.5979i −0.485093 + 0.840205i −0.999853 0.0171288i \(-0.994547\pi\)
0.514761 + 0.857334i \(0.327881\pi\)
\(602\) 35.0234 1.42745
\(603\) 26.8663 + 8.19563i 1.09408 + 0.333752i
\(604\) 5.65783 0.230214
\(605\) −1.81197 + 3.13842i −0.0736669 + 0.127595i
\(606\) 42.5951 53.5835i 1.73031 2.17668i
\(607\) −19.5986 33.9458i −0.795484 1.37782i −0.922532 0.385922i \(-0.873883\pi\)
0.127048 0.991897i \(-0.459450\pi\)
\(608\) −11.1744 19.3546i −0.453180 0.784931i
\(609\) −8.58732 + 10.8026i −0.347976 + 0.437744i
\(610\) −24.4923 + 42.4219i −0.991664 + 1.71761i
\(611\) −10.7697 −0.435695
\(612\) 43.2644 + 13.1979i 1.74886 + 0.533494i
\(613\) 9.34643 0.377499 0.188749 0.982025i \(-0.439557\pi\)
0.188749 + 0.982025i \(0.439557\pi\)
\(614\) −12.9022 + 22.3472i −0.520689 + 0.901860i
\(615\) −61.8794 9.22831i −2.49522 0.372121i
\(616\) 1.58256 + 2.74108i 0.0637633 + 0.110441i
\(617\) 1.85481 + 3.21263i 0.0746720 + 0.129336i 0.900944 0.433936i \(-0.142876\pi\)
−0.826272 + 0.563272i \(0.809542\pi\)
\(618\) 6.24808 + 15.8473i 0.251335 + 0.637470i
\(619\) −15.1420 + 26.2268i −0.608609 + 1.05414i 0.382861 + 0.923806i \(0.374939\pi\)
−0.991470 + 0.130336i \(0.958394\pi\)
\(620\) −24.0642 −0.966440
\(621\) −2.44091 30.6500i −0.0979504 1.22994i
\(622\) 7.32331 0.293638
\(623\) 5.41670 9.38199i 0.217015 0.375882i
\(624\) 1.80040 + 4.56644i 0.0720739 + 0.182804i
\(625\) −0.239656 0.415097i −0.00958625 0.0166039i
\(626\) 24.4624 + 42.3701i 0.977714 + 1.69345i
\(627\) −4.95863 0.739500i −0.198029 0.0295328i
\(628\) −12.5724 + 21.7761i −0.501694 + 0.868959i
\(629\) −1.90251 −0.0758580
\(630\) 12.0023 + 51.8410i 0.478185 + 2.06540i
\(631\) −10.7233 −0.426886 −0.213443 0.976956i \(-0.568468\pi\)
−0.213443 + 0.976956i \(0.568468\pi\)
\(632\) −0.987411 + 1.71025i −0.0392771 + 0.0680299i
\(633\) 12.5914 15.8397i 0.500464 0.629570i
\(634\) −16.0064 27.7240i −0.635697 1.10106i
\(635\) −15.8141 27.3908i −0.627562 1.08697i
\(636\) −17.5866 + 22.1235i −0.697354 + 0.877253i
\(637\) 1.14200 1.97800i 0.0452476 0.0783711i
\(638\) −7.56393 −0.299459
\(639\) 26.5832 24.8201i 1.05162 0.981869i
\(640\) −38.3005 −1.51396
\(641\) 21.9083 37.9462i 0.865324 1.49879i −0.00140071 0.999999i \(-0.500446\pi\)
0.866725 0.498786i \(-0.166221\pi\)
\(642\) −18.8707 2.81426i −0.744767 0.111070i
\(643\) −16.0895 27.8678i −0.634507 1.09900i −0.986619 0.163041i \(-0.947870\pi\)
0.352112 0.935958i \(-0.385464\pi\)
\(644\) 17.7799 + 30.7958i 0.700628 + 1.21352i
\(645\) 16.4742 + 41.7842i 0.648672 + 1.64525i
\(646\) 17.7726 30.7830i 0.699252 1.21114i
\(647\) 10.9108 0.428946 0.214473 0.976730i \(-0.431197\pi\)
0.214473 + 0.976730i \(0.431197\pi\)
\(648\) 0.859608 12.5162i 0.0337686 0.491682i
\(649\) 2.91726 0.114513
\(650\) −10.8550 + 18.8013i −0.425766 + 0.737449i
\(651\) −3.61917 9.17946i −0.141847 0.359771i
\(652\) 25.7671 + 44.6299i 1.00912 + 1.74784i
\(653\) 23.5331 + 40.7605i 0.920922 + 1.59508i 0.797992 + 0.602667i \(0.205895\pi\)
0.122929 + 0.992415i \(0.460771\pi\)
\(654\) 17.2783 + 2.57677i 0.675633 + 0.100760i
\(655\) 6.68393 11.5769i 0.261163 0.452347i
\(656\) 22.8103 0.890593
\(657\) −9.45686 + 8.82964i −0.368947 + 0.344477i
\(658\) 42.5668 1.65943
\(659\) −13.4862 + 23.3588i −0.525348 + 0.909930i 0.474216 + 0.880409i \(0.342732\pi\)
−0.999564 + 0.0295212i \(0.990602\pi\)
\(660\) −10.3376 + 13.0044i −0.402391 + 0.506197i
\(661\) −4.53345 7.85217i −0.176331 0.305414i 0.764290 0.644872i \(-0.223090\pi\)
−0.940621 + 0.339459i \(0.889756\pi\)
\(662\) −17.4635 30.2476i −0.678737 1.17561i
\(663\) −7.60353 + 9.56504i −0.295297 + 0.371475i
\(664\) 1.92144 3.32804i 0.0745665 0.129153i
\(665\) 23.8176 0.923607
\(666\) 0.487125 + 2.10401i 0.0188757 + 0.0815289i
\(667\) −20.7634 −0.803961
\(668\) 20.2444 35.0643i 0.783278 1.35668i
\(669\) −31.0472 4.63019i −1.20036 0.179014i
\(670\) −36.5703 63.3416i −1.41283 2.44710i
\(671\) −3.13530 5.43050i −0.121037 0.209642i
\(672\) −11.1376 28.2488i −0.429644 1.08972i
\(673\) 4.36695 7.56378i 0.168334 0.291562i −0.769501 0.638646i \(-0.779495\pi\)
0.937834 + 0.347084i \(0.112828\pi\)
\(674\) −24.2770 −0.935114
\(675\) −34.8050 + 23.9685i −1.33965 + 0.922550i
\(676\) −30.3480 −1.16723
\(677\) 17.8921 30.9900i 0.687650 1.19104i −0.284947 0.958543i \(-0.591976\pi\)
0.972596 0.232501i \(-0.0746908\pi\)
\(678\) 2.09757 + 5.32016i 0.0805568 + 0.204319i
\(679\) −2.90533 5.03218i −0.111496 0.193117i
\(680\) −14.3891 24.9226i −0.551795 0.955737i
\(681\) 29.9921 + 4.47284i 1.14930 + 0.171400i
\(682\) 2.70416 4.68374i 0.103548 0.179350i
\(683\) −40.9545 −1.56708 −0.783541 0.621340i \(-0.786588\pi\)
−0.783541 + 0.621340i \(0.786588\pi\)
\(684\) −21.9825 6.70581i −0.840522 0.256403i
\(685\) 79.6125 3.04184
\(686\) −21.6446 + 37.4895i −0.826393 + 1.43135i
\(687\) −4.89612 + 6.15919i −0.186799 + 0.234988i
\(688\) −8.18778 14.1816i −0.312156 0.540670i
\(689\) −3.81729 6.61174i −0.145427 0.251887i
\(690\) −49.8210 + 62.6735i −1.89665 + 2.38594i
\(691\) −19.9963 + 34.6346i −0.760696 + 1.31756i 0.181797 + 0.983336i \(0.441809\pi\)
−0.942492 + 0.334228i \(0.891525\pi\)
\(692\) 37.1087 1.41066
\(693\) −6.51538 1.98753i −0.247499 0.0755001i
\(694\) −36.8057 −1.39713
\(695\) 2.33738 4.04847i 0.0886620 0.153567i
\(696\) −8.37938 1.24965i −0.317619 0.0473678i
\(697\) 28.3912 + 49.1750i 1.07539 + 1.86264i
\(698\) −24.7598 42.8853i −0.937173 1.62323i
\(699\) 5.19015 + 13.1640i 0.196309 + 0.497908i
\(700\) 24.4373 42.3267i 0.923644 1.59980i
\(701\) −28.4894 −1.07603 −0.538015 0.842935i \(-0.680826\pi\)
−0.538015 + 0.842935i \(0.680826\pi\)
\(702\) 12.5250 + 5.95980i 0.472724 + 0.224938i
\(703\) 0.966658 0.0364582
\(704\) 6.03328 10.4499i 0.227388 0.393847i
\(705\) 20.0225 + 50.7838i 0.754090 + 1.91263i
\(706\) 22.1095 + 38.2948i 0.832103 + 1.44124i
\(707\) −20.8141 36.0511i −0.782796 1.35584i
\(708\) 13.2269 + 1.97258i 0.497098 + 0.0741342i
\(709\) −19.2455 + 33.3341i −0.722779 + 1.25189i 0.237103 + 0.971485i \(0.423802\pi\)
−0.959882 + 0.280405i \(0.909531\pi\)
\(710\) −94.7025 −3.55412
\(711\) −0.958632 4.14057i −0.0359515 0.155283i
\(712\) 6.65082 0.249250
\(713\) 7.42305 12.8571i 0.277995 0.481502i
\(714\) 30.0527 37.8055i 1.12469 1.41483i
\(715\) −2.24385 3.88646i −0.0839151 0.145345i
\(716\) −5.22652 9.05260i −0.195324 0.338311i
\(717\) −20.0481 + 25.2200i −0.748711 + 0.941858i
\(718\) 3.14547 5.44811i 0.117388 0.203322i
\(719\) 19.0764 0.711430 0.355715 0.934594i \(-0.384237\pi\)
0.355715 + 0.934594i \(0.384237\pi\)
\(720\) 18.1855 16.9794i 0.677735 0.632785i
\(721\) 10.3595 0.385807
\(722\) 11.4481 19.8288i 0.426056 0.737950i
\(723\) 48.5711 + 7.24359i 1.80638 + 0.269392i
\(724\) −17.6879 30.6364i −0.657367 1.13859i
\(725\) 14.2689 + 24.7145i 0.529934 + 0.917873i
\(726\) −1.36946 3.47341i −0.0508254 0.128910i
\(727\) 3.03168 5.25103i 0.112439 0.194750i −0.804314 0.594204i \(-0.797467\pi\)
0.916753 + 0.399454i \(0.130800\pi\)
\(728\) −3.91953 −0.145267
\(729\) 17.0307 + 20.9513i 0.630766 + 0.775973i
\(730\) 33.6900 1.24692
\(731\) 20.3821 35.3028i 0.753858 1.30572i
\(732\) −10.5435 26.7420i −0.389700 0.988412i
\(733\) −18.8883 32.7155i −0.697655 1.20837i −0.969277 0.245970i \(-0.920894\pi\)
0.271622 0.962404i \(-0.412440\pi\)
\(734\) −7.27669 12.6036i −0.268588 0.465207i
\(735\) −11.4503 1.70762i −0.422350 0.0629867i
\(736\) 22.8437 39.5664i 0.842029 1.45844i
\(737\) 9.36285 0.344885
\(738\) 47.1140 43.9892i 1.73429 1.61927i
\(739\) −11.0030 −0.404752 −0.202376 0.979308i \(-0.564866\pi\)
−0.202376 + 0.979308i \(0.564866\pi\)
\(740\) 1.60156 2.77399i 0.0588746 0.101974i
\(741\) 3.86333 4.85996i 0.141923 0.178535i
\(742\) 15.0877 + 26.1327i 0.553887 + 0.959360i
\(743\) −8.83265 15.2986i −0.324038 0.561251i 0.657279 0.753647i \(-0.271707\pi\)
−0.981317 + 0.192397i \(0.938374\pi\)
\(744\) 3.76949 4.74192i 0.138196 0.173847i
\(745\) 19.8314 34.3489i 0.726565 1.25845i
\(746\) −48.2371 −1.76608
\(747\) 1.86544 + 8.05730i 0.0682529 + 0.294801i
\(748\) 15.0775 0.551290
\(749\) −5.80154 + 10.0486i −0.211984 + 0.367166i
\(750\) 41.9255 + 6.25251i 1.53090 + 0.228309i
\(751\) 2.14256 + 3.71103i 0.0781833 + 0.135417i 0.902466 0.430761i \(-0.141755\pi\)
−0.824283 + 0.566178i \(0.808421\pi\)
\(752\) −9.95128 17.2361i −0.362886 0.628537i
\(753\) −3.13718 7.95695i −0.114325 0.289968i
\(754\) 4.68339 8.11187i 0.170559 0.295417i
\(755\) 7.74695 0.281940
\(756\) −28.1969 13.4170i −1.02551 0.487973i
\(757\) −8.95117 −0.325336 −0.162668 0.986681i \(-0.552010\pi\)
−0.162668 + 0.986681i \(0.552010\pi\)
\(758\) −35.6022 + 61.6648i −1.29313 + 2.23977i
\(759\) −3.75923 9.53468i −0.136451 0.346087i
\(760\) 7.31103 + 12.6631i 0.265199 + 0.459338i
\(761\) 2.69037 + 4.65986i 0.0975258 + 0.168920i 0.910660 0.413157i \(-0.135574\pi\)
−0.813134 + 0.582076i \(0.802240\pi\)
\(762\) 32.2291 + 4.80645i 1.16754 + 0.174119i
\(763\) 5.31197 9.20059i 0.192306 0.333084i
\(764\) 50.0761 1.81169
\(765\) 59.2395 + 18.0711i 2.14181 + 0.653364i
\(766\) 50.6229 1.82908
\(767\) −1.80630 + 3.12860i −0.0652215 + 0.112967i
\(768\) −1.45604 + 1.83166i −0.0525403 + 0.0660943i
\(769\) 7.72456 + 13.3793i 0.278555 + 0.482471i 0.971026 0.238975i \(-0.0768113\pi\)
−0.692471 + 0.721446i \(0.743478\pi\)
\(770\) 8.86872 + 15.3611i 0.319606 + 0.553575i
\(771\) −18.4450 + 23.2034i −0.664282 + 0.835649i
\(772\) 2.73202 4.73199i 0.0983274 0.170308i
\(773\) −32.7213 −1.17690 −0.588451 0.808533i \(-0.700262\pi\)
−0.588451 + 0.808533i \(0.700262\pi\)
\(774\) −44.2606 13.5018i −1.59091 0.485312i
\(775\) −20.4050 −0.732968
\(776\) 1.78364 3.08935i 0.0640288 0.110901i
\(777\) 1.29903 + 0.193729i 0.0466024 +