Properties

Label 99.2.e.e.67.2
Level 99
Weight 2
Character 99.67
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 67.2
Root \(-0.577806 + 2.22188i\) of defining polynomial
Character \(\chi\) \(=\) 99.67
Dual form 99.2.e.e.34.2

$q$-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 \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

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

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 −0.941754 0.336303i \(-0.890823\pi\)
0.179629 0.983734i \(-0.442510\pi\)
\(3\) −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 0.102294 + 0.994754i \(0.467382\pi\)
−0.912629 + 0.408788i \(0.865951\pi\)
\(6\) 3.69279 0.550720i 1.50758 0.224831i
\(7\) 1.13530 + 1.96640i 0.429103 + 0.743227i 0.996794 0.0800141i \(-0.0254965\pi\)
−0.567691 + 0.823242i \(0.692163\pi\)
\(8\) 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 −0.939024 0.343851i \(-0.888268\pi\)
0.767296 + 0.641293i \(0.221602\pi\)
\(14\) 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 0.373127 + 0.927780i \(0.378285\pi\)
−0.990045 + 0.140752i \(0.955048\pi\)
\(24\) −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 0.981673 0.190571i \(-0.0610339\pi\)
−0.655876 + 0.754869i \(0.727701\pi\)
\(30\) −4.96282 + 12.5874i −0.906083 + 2.29813i
\(31\) 1.25447 2.17281i 0.225310 0.390248i −0.731102 0.682268i \(-0.760994\pi\)
0.956412 + 0.292019i \(0.0943272\pi\)
\(32\) 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 −0.154584 0.987980i \(-0.549404\pi\)
0.932907 0.360116i \(-0.117263\pi\)
\(42\) 5.27535 + 6.63625i 0.814005 + 1.02400i
\(43\) 3.57781 + 6.19694i 0.545610 + 0.945025i 0.998568 + 0.0534929i \(0.0170355\pi\)
−0.452958 + 0.891532i \(0.649631\pi\)
\(44\) 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 0.986667 + 0.162751i \(0.0520366\pi\)
−0.352387 + 0.935854i \(0.614630\pi\)
\(48\) −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 −0.945216 0.326446i \(-0.894149\pi\)
0.755318 + 0.655358i \(0.227482\pi\)
\(60\) 16.4310 2.45041i 2.12123 0.316347i
\(61\) −3.13530 5.43050i −0.401434 0.695304i 0.592465 0.805596i \(-0.298155\pi\)
−0.993899 + 0.110292i \(0.964821\pi\)
\(62\) −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 0.424441 + 0.905456i \(0.360471\pi\)
−0.996368 + 0.0851510i \(0.972863\pi\)
\(68\) −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 0.823423 0.567428i \(-0.192061\pi\)
−0.903119 + 0.429391i \(0.858728\pi\)
\(80\) −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 0.931705 0.363215i \(-0.118321\pi\)
−0.780406 + 0.625273i \(0.784988\pi\)
\(84\) 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 0.923645 0.383250i \(-0.125195\pi\)
−0.793727 + 0.608275i \(0.791862\pi\)
\(98\) −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 0.811048 + 0.584980i \(0.198898\pi\)
0.101084 + 0.994878i \(0.467769\pi\)
\(102\) 21.0371 3.13735i 2.08299 0.310644i
\(103\) 2.28122 3.95120i 0.224776 0.389323i −0.731476 0.681867i \(-0.761168\pi\)
0.956252 + 0.292544i \(0.0945017\pi\)
\(104\) −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 −0.827753 0.561093i \(-0.810381\pi\)
0.899797 + 0.436309i \(0.143714\pi\)
\(114\) −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 −0.774135 0.633021i \(-0.781815\pi\)
0.935280 + 0.353910i \(0.115148\pi\)
\(132\) −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 −0.768364 0.640013i \(-0.778929\pi\)
−0.170085 0.985429i \(-0.554404\pi\)
\(138\) −8.10344 + 20.5531i −0.689811 + 1.74960i
\(139\) 0.644985 1.11715i 0.0547070 0.0947552i −0.837375 0.546629i \(-0.815911\pi\)
0.892082 + 0.451874i \(0.149244\pi\)
\(140\) 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 −0.549965 0.835188i \(-0.685359\pi\)
0.998276 + 0.0586899i \(0.0186923\pi\)
\(150\) −18.8954 23.7699i −1.54280 1.94080i
\(151\) −1.06886 1.85132i −0.0869826 0.150658i 0.819252 0.573434i \(-0.194389\pi\)
−0.906234 + 0.422776i \(0.861056\pi\)
\(152\) −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 −0.990934 0.134353i \(-0.957104\pi\)
0.611820 + 0.790997i \(0.290438\pi\)
\(158\) −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 −0.402079 0.915605i \(-0.631712\pi\)
0.993977 0.109592i \(-0.0349543\pi\)
\(168\) −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 −0.999258 0.0385279i \(-0.987733\pi\)
0.466263 0.884646i \(-0.345600\pi\)
\(174\) 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 −0.973588 0.228312i \(-0.926679\pi\)
0.289070 0.957308i \(-0.406654\pi\)
\(192\) 7.66587 19.4432i 0.553236 1.40320i
\(193\) 1.03225 1.78791i 0.0743029 0.128696i −0.826480 0.562966i \(-0.809660\pi\)
0.900783 + 0.434270i \(0.142994\pi\)
\(194\) 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 −0.591856 0.806044i \(-0.701605\pi\)
0.993982 + 0.109540i \(0.0349378\pi\)
\(212\) −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 0.991762 + 0.128096i \(0.0408865\pi\)
−0.384947 + 0.922939i \(0.625780\pi\)
\(224\) 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 −0.995360 0.0962159i \(-0.969326\pi\)
0.414355 0.910115i \(-0.364007\pi\)
\(228\) 8.25691 + 10.3870i 0.546827 + 0.687894i
\(229\) −2.27134 + 3.93407i −0.150094 + 0.259971i −0.931262 0.364350i \(-0.881291\pi\)
0.781168 + 0.624321i \(0.214624\pi\)
\(230\) −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 0.390985 + 0.920397i \(0.372134\pi\)
−0.992580 + 0.121595i \(0.961199\pi\)
\(240\) 5.26874 13.3633i 0.340096 0.862599i
\(241\) −14.1763 24.5541i −0.913177 1.58167i −0.809548 0.587053i \(-0.800288\pi\)
−0.103629 0.994616i \(-0.533045\pi\)
\(242\) 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 0.465467 + 0.885065i \(0.345886\pi\)
−0.999222 + 0.0394264i \(0.987447\pi\)
\(258\) 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 0.926384 0.376581i \(-0.122900\pi\)
−0.789321 + 0.613981i \(0.789567\pi\)
\(264\) 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 0.842994 0.537923i \(-0.180791\pi\)
−0.887352 + 0.461093i \(0.847457\pi\)
\(278\) −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 0.954545 0.298068i \(-0.0963423\pi\)
−0.735407 + 0.677626i \(0.763009\pi\)
\(282\) 20.2056 + 25.4181i 1.20322 + 1.51362i
\(283\) 7.35809 12.7446i 0.437393 0.757587i −0.560094 0.828429i \(-0.689235\pi\)
0.997488 + 0.0708417i \(0.0225685\pi\)
\(284\) 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 −0.835720 0.549156i \(-0.814949\pi\)
0.893443 + 0.449176i \(0.148283\pi\)
\(294\) 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 −0.910160 0.414258i \(-0.864041\pi\)
0.813837 + 0.581093i \(0.197375\pi\)
\(312\) −1.86052 2.34049i −0.105331 0.132504i
\(313\) 11.3482 + 19.6557i 0.641440 + 1.11101i 0.985112 + 0.171917i \(0.0549960\pi\)
−0.343672 + 0.939090i \(0.611671\pi\)
\(314\) 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 0.578586 0.815621i \(-0.303605\pi\)
−0.995642 + 0.0932594i \(0.970271\pi\)
\(318\) 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 0.552780 0.833328i \(-0.313567\pi\)
−0.998073 + 0.0620574i \(0.980234\pi\)
\(332\) −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 −0.670903 0.741546i \(-0.734093\pi\)
0.977649 + 0.210246i \(0.0674264\pi\)
\(338\) 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 −0.540572 0.841298i \(-0.681792\pi\)
0.998871 + 0.0474996i \(0.0151253\pi\)
\(348\) 5.90003 14.9645i 0.316275 0.802180i
\(349\) −11.4862 19.8947i −0.614843 1.06494i −0.990412 0.138145i \(-0.955886\pi\)
0.375569 0.926794i \(-0.377447\pi\)
\(350\) −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 0.998549 + 0.0538502i \(0.0171494\pi\)
−0.452639 + 0.891694i \(0.649517\pi\)
\(354\) −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 0.764369 0.644779i \(-0.223050\pi\)
−0.940579 + 0.339574i \(0.889717\pi\)
\(368\) −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 −0.416227 0.909261i \(-0.636648\pi\)
0.995556 0.0941677i \(-0.0300190\pi\)
\(374\) −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 0.392828 + 0.919612i \(0.371497\pi\)
−0.992821 + 0.119607i \(0.961836\pi\)
\(384\) −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 0.927839 + 0.372982i \(0.121665\pi\)
−0.140908 + 0.990023i \(0.545002\pi\)
\(390\) −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 −0.685075 0.728472i \(-0.740231\pi\)
0.973413 + 0.229057i \(0.0735641\pi\)
\(402\) −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 0.0143082 + 0.999898i \(0.495445\pi\)
−0.873091 + 0.487558i \(0.837888\pi\)
\(410\) 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 −0.760887 0.648884i \(-0.775236\pi\)
0.942394 + 0.334505i \(0.108569\pi\)
\(420\) 23.4725 + 29.5278i 1.14534 + 1.44081i
\(421\) −5.92789 10.2674i −0.288908 0.500403i 0.684642 0.728880i \(-0.259959\pi\)
−0.973549 + 0.228477i \(0.926625\pi\)
\(422\) −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 0.898645 + 0.438676i \(0.144552\pi\)
−0.0694179 + 0.997588i \(0.522114\pi\)
\(440\) 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 0.881726 0.471762i \(-0.156382\pi\)
−0.849421 + 0.527716i \(0.823049\pi\)
\(444\) 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 −0.899946 0.436000i \(-0.856395\pi\)
0.0723859 0.997377i \(-0.476939\pi\)
\(458\) 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 0.957971 + 0.286867i \(0.0926137\pi\)
−0.230551 + 0.973060i \(0.574053\pi\)
\(462\) 3.10949 7.88672i 0.144666 0.366923i
\(463\) 0.119348 0.206717i 0.00554657 0.00960693i −0.863239 0.504796i \(-0.831568\pi\)
0.868785 + 0.495189i \(0.164901\pi\)
\(464\) −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 −0.996605 0.0823374i \(-0.973761\pi\)
0.426996 0.904254i \(-0.359572\pi\)
\(480\) −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 −0.957051 0.289920i \(-0.906371\pi\)
0.729604 + 0.683870i \(0.239704\pi\)
\(492\) −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 0.206193 + 0.978511i \(0.433893\pi\)
−0.950512 + 0.310687i \(0.899441\pi\)
\(500\) −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 −0.634429 0.772981i \(-0.718765\pi\)
0.986636 + 0.162941i \(0.0520980\pi\)
\(510\) −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 0.999023 + 0.0441939i \(0.0140719\pi\)
−0.461238 + 0.887276i \(0.652595\pi\)
\(548\) 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 −0.991971 0.126464i \(-0.959637\pi\)
0.605507 + 0.795840i \(0.292970\pi\)
\(564\) 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 −0.976319 0.216338i \(-0.930589\pi\)
0.300805 0.953686i \(-0.402745\pi\)
\(570\) 14.3650 36.4346i 0.601685 1.52608i
\(571\) 18.6411 32.2873i 0.780105 1.35118i −0.151775 0.988415i \(-0.548499\pi\)
0.931880 0.362767i \(-0.118168\pi\)
\(572\) −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 0.993367 0.114990i \(-0.0366837\pi\)
−0.596268 + 0.802786i \(0.703350\pi\)
\(588\) −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 −0.630361 0.776302i \(-0.717093\pi\)
0.987478 + 0.157758i \(0.0504264\pi\)
\(600\) 19.4213 2.89638i 0.792873 0.118244i
\(601\) −11.8922 20.5979i −0.485093 0.840205i 0.514761 0.857334i \(-0.327881\pi\)
−0.999853 + 0.0171288i \(0.994547\pi\)
\(602\) 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 0.127048 + 0.991897i \(0.459450\pi\)
−0.922532 + 0.385922i \(0.873883\pi\)
\(608\) −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 −0.826272 0.563272i \(-0.809542\pi\)
0.900944 + 0.433936i \(0.142876\pi\)
\(618\) 6.24808 15.8473i 0.251335 0.637470i
\(619\) −15.1420 26.2268i −0.608609 1.05414i −0.991470 0.130336i \(-0.958394\pi\)
0.382861 0.923806i \(-0.374939\pi\)
\(620\) −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 0.866725 + 0.498786i \(0.166221\pi\)
−0.00140071 + 0.999999i \(0.500446\pi\)
\(642\) −18.8707 + 2.81426i −0.744767 + 0.111070i
\(643\) −16.0895 + 27.8678i −0.634507 + 1.09900i 0.352112 + 0.935958i \(0.385464\pi\)
−0.986619 + 0.163041i \(0.947870\pi\)
\(644\) 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 0.122929 0.992415i \(-0.460771\pi\)
0.797992 0.602667i \(-0.205895\pi\)
\(654\) 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 −0.999564 0.0295212i \(-0.990602\pi\)
0.474216 0.880409i \(-0.342732\pi\)
\(660\) −10.3376 13.0044i −0.402391 0.506197i
\(661\) −4.53345 + 7.85217i −0.176331 + 0.305414i −0.940621 0.339459i \(-0.889756\pi\)
0.764290 + 0.644872i \(0.223090\pi\)
\(662\) −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 0.937834 0.347084i \(-0.112828\pi\)
−0.769501 + 0.638646i \(0.779495\pi\)
\(674\) −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 0.972596 + 0.232501i \(0.0746908\pi\)
−0.284947 + 0.958543i \(0.591976\pi\)
\(678\) 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 −0.942492 0.334228i \(-0.891525\pi\)
0.181797 0.983336i \(-0.441809\pi\)
\(692\) 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 −0.959882 0.280405i \(-0.909531\pi\)
0.237103 0.971485i \(-0.423802\pi\)
\(710\) −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 0.916753 0.399454i \(-0.130800\pi\)
−0.804314 + 0.594204i \(0.797467\pi\)
\(728\) −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 0.271622 + 0.962404i \(0.412440\pi\)
−0.969277 + 0.245970i \(0.920894\pi\)
\(734\) −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 −0.981317 0.192397i \(-0.938374\pi\)
0.657279 + 0.753647i \(0.271707\pi\)
\(744\) 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 −0.824283 0.566178i \(-0.808421\pi\)
0.902466 + 0.430761i \(0.141755\pi\)
\(752\) −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 −0.813134 0.582076i \(-0.802240\pi\)
0.910660 + 0.413157i \(0.135574\pi\)
\(762\) 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 −0.692471 0.721446i \(-0.743478\pi\)
0.971026 + 0.238975i \(0.0768113\pi\)
\(770\) 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