Properties

Label 171.2.x.a.110.11
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.11
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.353154 - 0.296331i) q^{2} +(0.726580 - 1.57229i) q^{3} +(-0.310391 + 1.76031i) q^{4} +(0.919654 - 2.52673i) q^{5} +(-0.209323 - 0.770567i) q^{6} +(2.00770 + 3.47744i) q^{7} +(0.873030 + 1.51213i) q^{8} +(-1.94416 - 2.28478i) q^{9} +O(q^{10})\) \(q+(0.353154 - 0.296331i) q^{2} +(0.726580 - 1.57229i) q^{3} +(-0.310391 + 1.76031i) q^{4} +(0.919654 - 2.52673i) q^{5} +(-0.209323 - 0.770567i) q^{6} +(2.00770 + 3.47744i) q^{7} +(0.873030 + 1.51213i) q^{8} +(-1.94416 - 2.28478i) q^{9} +(-0.423969 - 1.16485i) q^{10} -3.58291i q^{11} +(2.54219 + 1.76703i) q^{12} +(-1.68193 - 4.62107i) q^{13} +(1.73950 + 0.633126i) q^{14} +(-3.30454 - 3.28183i) q^{15} +(-2.60294 - 0.947393i) q^{16} +(-2.40209 + 6.59968i) q^{17} +(-1.36364 - 0.230763i) q^{18} +(-0.557476 + 4.32310i) q^{19} +(4.16239 + 2.40315i) q^{20} +(6.92628 - 0.630040i) q^{21} +(-1.06173 - 1.26532i) q^{22} +(2.11329 + 0.372629i) q^{23} +(3.01183 - 0.273967i) q^{24} +(-1.70837 - 1.43350i) q^{25} +(-1.96335 - 1.13354i) q^{26} +(-5.00492 + 1.39670i) q^{27} +(-6.74455 + 2.45482i) q^{28} +(-0.213376 + 1.21011i) q^{29} +(-2.13952 - 0.179753i) q^{30} +4.02416i q^{31} +(-4.48150 + 1.63113i) q^{32} +(-5.63336 - 2.60327i) q^{33} +(1.10738 + 3.04251i) q^{34} +(10.6329 - 1.87487i) q^{35} +(4.62539 - 2.71316i) q^{36} -0.477624i q^{37} +(1.08420 + 1.69192i) q^{38} +(-8.48770 - 0.713100i) q^{39} +(4.62363 - 0.815271i) q^{40} +(1.67493 - 1.40543i) q^{41} +(2.25934 - 2.27497i) q^{42} +(0.397937 + 2.25682i) q^{43} +(6.30705 + 1.11210i) q^{44} +(-7.56098 + 2.81116i) q^{45} +(0.856736 - 0.494637i) q^{46} +(-5.61172 - 0.989498i) q^{47} +(-3.38082 + 3.40421i) q^{48} +(-4.56171 + 7.90111i) q^{49} -1.02811 q^{50} +(8.63127 + 8.57196i) q^{51} +(8.65660 - 1.52639i) q^{52} +(-2.30385 - 1.93316i) q^{53} +(-1.35362 + 1.97636i) q^{54} +(-9.05304 - 3.29504i) q^{55} +(-3.50556 + 6.07181i) q^{56} +(6.39210 + 4.01759i) q^{57} +(0.283240 + 0.490586i) q^{58} +(-1.51577 - 8.59634i) q^{59} +(6.80275 - 4.79837i) q^{60} +(-7.98674 + 2.90694i) q^{61} +(1.19248 + 1.42115i) q^{62} +(4.04189 - 11.3479i) q^{63} +(1.67069 - 2.89372i) q^{64} -13.2230 q^{65} +(-2.76087 + 0.749985i) q^{66} +(6.88939 - 8.21046i) q^{67} +(-10.8719 - 6.27691i) q^{68} +(2.12135 - 3.05194i) q^{69} +(3.19948 - 3.81299i) q^{70} +(0.839138 - 0.704120i) q^{71} +(1.75758 - 4.93451i) q^{72} +(0.773620 + 4.38741i) q^{73} +(-0.141535 - 0.168675i) q^{74} +(-3.49513 + 1.64450i) q^{75} +(-7.43699 - 2.32319i) q^{76} +(12.4593 - 7.19341i) q^{77} +(-3.20878 + 2.26334i) q^{78} +(3.11236 - 8.55114i) q^{79} +(-4.78761 + 5.70565i) q^{80} +(-1.44046 + 8.88398i) q^{81} +(0.175034 - 0.992667i) q^{82} +(13.1641 - 7.60030i) q^{83} +(-1.04078 + 12.3880i) q^{84} +(14.4665 + 12.1388i) q^{85} +(0.809298 + 0.679082i) q^{86} +(1.74761 + 1.21473i) q^{87} +(5.41783 - 3.12799i) q^{88} +(-0.329717 + 1.86992i) q^{89} +(-1.83715 + 3.23333i) q^{90} +(12.6927 - 15.1265i) q^{91} +(-1.31189 + 3.60439i) q^{92} +(6.32713 + 2.92387i) q^{93} +(-2.27502 + 1.31348i) q^{94} +(10.4106 + 5.38435i) q^{95} +(-0.691561 + 8.23134i) q^{96} +(-6.65363 - 7.92948i) q^{97} +(0.730361 + 4.14209i) q^{98} +(-8.18617 + 6.96576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.353154 0.296331i 0.249717 0.209538i −0.509333 0.860569i \(-0.670108\pi\)
0.759051 + 0.651032i \(0.225663\pi\)
\(3\) 0.726580 1.57229i 0.419491 0.907759i
\(4\) −0.310391 + 1.76031i −0.155195 + 0.880157i
\(5\) 0.919654 2.52673i 0.411282 1.12999i −0.545228 0.838288i \(-0.683557\pi\)
0.956510 0.291700i \(-0.0942208\pi\)
\(6\) −0.209323 0.770567i −0.0854557 0.314583i
\(7\) 2.00770 + 3.47744i 0.758839 + 1.31435i 0.943443 + 0.331535i \(0.107566\pi\)
−0.184604 + 0.982813i \(0.559100\pi\)
\(8\) 0.873030 + 1.51213i 0.308663 + 0.534619i
\(9\) −1.94416 2.28478i −0.648054 0.761594i
\(10\) −0.423969 1.16485i −0.134071 0.368357i
\(11\) 3.58291i 1.08029i −0.841573 0.540144i \(-0.818370\pi\)
0.841573 0.540144i \(-0.181630\pi\)
\(12\) 2.54219 + 1.76703i 0.733868 + 0.510098i
\(13\) −1.68193 4.62107i −0.466484 1.28165i −0.920528 0.390676i \(-0.872241\pi\)
0.454044 0.890979i \(-0.349981\pi\)
\(14\) 1.73950 + 0.633126i 0.464901 + 0.169210i
\(15\) −3.30454 3.28183i −0.853228 0.847365i
\(16\) −2.60294 0.947393i −0.650735 0.236848i
\(17\) −2.40209 + 6.59968i −0.582592 + 1.60066i 0.201144 + 0.979562i \(0.435534\pi\)
−0.783735 + 0.621095i \(0.786688\pi\)
\(18\) −1.36364 0.230763i −0.321413 0.0543914i
\(19\) −0.557476 + 4.32310i −0.127894 + 0.991788i
\(20\) 4.16239 + 2.40315i 0.930738 + 0.537362i
\(21\) 6.92628 0.630040i 1.51144 0.137486i
\(22\) −1.06173 1.26532i −0.226361 0.269767i
\(23\) 2.11329 + 0.372629i 0.440651 + 0.0776986i 0.389572 0.920996i \(-0.372623\pi\)
0.0510786 + 0.998695i \(0.483734\pi\)
\(24\) 3.01183 0.273967i 0.614787 0.0559234i
\(25\) −1.70837 1.43350i −0.341675 0.286699i
\(26\) −1.96335 1.13354i −0.385044 0.222305i
\(27\) −5.00492 + 1.39670i −0.963197 + 0.268796i
\(28\) −6.74455 + 2.45482i −1.27460 + 0.463917i
\(29\) −0.213376 + 1.21011i −0.0396229 + 0.224712i −0.998189 0.0601582i \(-0.980839\pi\)
0.958566 + 0.284871i \(0.0919506\pi\)
\(30\) −2.13952 0.179753i −0.390621 0.0328182i
\(31\) 4.02416i 0.722760i 0.932419 + 0.361380i \(0.117694\pi\)
−0.932419 + 0.361380i \(0.882306\pi\)
\(32\) −4.48150 + 1.63113i −0.792224 + 0.288346i
\(33\) −5.63336 2.60327i −0.980642 0.453171i
\(34\) 1.10738 + 3.04251i 0.189915 + 0.521787i
\(35\) 10.6329 1.87487i 1.79729 0.316911i
\(36\) 4.62539 2.71316i 0.770898 0.452194i
\(37\) 0.477624i 0.0785210i −0.999229 0.0392605i \(-0.987500\pi\)
0.999229 0.0392605i \(-0.0125002\pi\)
\(38\) 1.08420 + 1.69192i 0.175880 + 0.274465i
\(39\) −8.48770 0.713100i −1.35912 0.114187i
\(40\) 4.62363 0.815271i 0.731061 0.128906i
\(41\) 1.67493 1.40543i 0.261580 0.219492i −0.502560 0.864543i \(-0.667608\pi\)
0.764140 + 0.645051i \(0.223164\pi\)
\(42\) 2.25934 2.27497i 0.348624 0.351036i
\(43\) 0.397937 + 2.25682i 0.0606849 + 0.344161i 0.999999 + 0.00110390i \(0.000351381\pi\)
−0.939314 + 0.343057i \(0.888538\pi\)
\(44\) 6.30705 + 1.11210i 0.950824 + 0.167656i
\(45\) −7.56098 + 2.81116i −1.12712 + 0.419064i
\(46\) 0.856736 0.494637i 0.126319 0.0729303i
\(47\) −5.61172 0.989498i −0.818554 0.144333i −0.251335 0.967900i \(-0.580870\pi\)
−0.567219 + 0.823567i \(0.691981\pi\)
\(48\) −3.38082 + 3.40421i −0.487979 + 0.491355i
\(49\) −4.56171 + 7.90111i −0.651673 + 1.12873i
\(50\) −1.02811 −0.145396
\(51\) 8.63127 + 8.57196i 1.20862 + 1.20031i
\(52\) 8.65660 1.52639i 1.20045 0.211672i
\(53\) −2.30385 1.93316i −0.316458 0.265540i 0.470697 0.882295i \(-0.344003\pi\)
−0.787155 + 0.616755i \(0.788447\pi\)
\(54\) −1.35362 + 1.97636i −0.184204 + 0.268949i
\(55\) −9.05304 3.29504i −1.22071 0.444303i
\(56\) −3.50556 + 6.07181i −0.468450 + 0.811380i
\(57\) 6.39210 + 4.01759i 0.846654 + 0.532143i
\(58\) 0.283240 + 0.490586i 0.0371912 + 0.0644171i
\(59\) −1.51577 8.59634i −0.197336 1.11915i −0.909053 0.416681i \(-0.863193\pi\)
0.711717 0.702466i \(-0.247918\pi\)
\(60\) 6.80275 4.79837i 0.878231 0.619468i
\(61\) −7.98674 + 2.90694i −1.02260 + 0.372195i −0.798258 0.602316i \(-0.794245\pi\)
−0.224340 + 0.974511i \(0.572023\pi\)
\(62\) 1.19248 + 1.42115i 0.151446 + 0.180486i
\(63\) 4.04189 11.3479i 0.509230 1.42970i
\(64\) 1.67069 2.89372i 0.208836 0.361715i
\(65\) −13.2230 −1.64011
\(66\) −2.76087 + 0.749985i −0.339840 + 0.0923168i
\(67\) 6.88939 8.21046i 0.841673 1.00307i −0.158204 0.987406i \(-0.550570\pi\)
0.999877 0.0156605i \(-0.00498509\pi\)
\(68\) −10.8719 6.27691i −1.31841 0.761187i
\(69\) 2.12135 3.05194i 0.255381 0.367411i
\(70\) 3.19948 3.81299i 0.382410 0.455739i
\(71\) 0.839138 0.704120i 0.0995873 0.0835637i −0.591635 0.806206i \(-0.701517\pi\)
0.691222 + 0.722643i \(0.257073\pi\)
\(72\) 1.75758 4.93451i 0.207133 0.581538i
\(73\) 0.773620 + 4.38741i 0.0905453 + 0.513508i 0.996022 + 0.0891113i \(0.0284027\pi\)
−0.905476 + 0.424397i \(0.860486\pi\)
\(74\) −0.141535 0.168675i −0.0164531 0.0196081i
\(75\) −3.49513 + 1.64450i −0.403583 + 0.189891i
\(76\) −7.43699 2.32319i −0.853081 0.266488i
\(77\) 12.4593 7.19341i 1.41987 0.819765i
\(78\) −3.20878 + 2.26334i −0.363323 + 0.256272i
\(79\) 3.11236 8.55114i 0.350168 0.962078i −0.632148 0.774847i \(-0.717827\pi\)
0.982316 0.187230i \(-0.0599511\pi\)
\(80\) −4.78761 + 5.70565i −0.535271 + 0.637911i
\(81\) −1.44046 + 8.88398i −0.160051 + 0.987109i
\(82\) 0.175034 0.992667i 0.0193293 0.109622i
\(83\) 13.1641 7.60030i 1.44495 0.834241i 0.446774 0.894647i \(-0.352573\pi\)
0.998174 + 0.0604058i \(0.0192395\pi\)
\(84\) −1.04078 + 12.3880i −0.113559 + 1.35164i
\(85\) 14.4665 + 12.1388i 1.56911 + 1.31664i
\(86\) 0.809298 + 0.679082i 0.0872688 + 0.0732272i
\(87\) 1.74761 + 1.21473i 0.187363 + 0.130233i
\(88\) 5.41783 3.12799i 0.577543 0.333445i
\(89\) −0.329717 + 1.86992i −0.0349500 + 0.198211i −0.997283 0.0736611i \(-0.976532\pi\)
0.962333 + 0.271872i \(0.0876428\pi\)
\(90\) −1.83715 + 3.23333i −0.193653 + 0.340823i
\(91\) 12.6927 15.1265i 1.33055 1.58569i
\(92\) −1.31189 + 3.60439i −0.136774 + 0.375783i
\(93\) 6.32713 + 2.92387i 0.656092 + 0.303191i
\(94\) −2.27502 + 1.31348i −0.234650 + 0.135475i
\(95\) 10.4106 + 5.38435i 1.06811 + 0.552423i
\(96\) −0.691561 + 8.23134i −0.0705822 + 0.840108i
\(97\) −6.65363 7.92948i −0.675574 0.805117i 0.313958 0.949437i \(-0.398345\pi\)
−0.989531 + 0.144320i \(0.953901\pi\)
\(98\) 0.730361 + 4.14209i 0.0737776 + 0.418414i
\(99\) −8.18617 + 6.96576i −0.822741 + 0.700086i
\(100\) 3.05367 2.56233i 0.305367 0.256233i
\(101\) −7.45770 + 8.88774i −0.742068 + 0.884363i −0.996574 0.0827086i \(-0.973643\pi\)
0.254505 + 0.967071i \(0.418087\pi\)
\(102\) 5.58830 + 0.469505i 0.553325 + 0.0464879i
\(103\) −3.68495 2.12751i −0.363089 0.209630i 0.307346 0.951598i \(-0.400559\pi\)
−0.670435 + 0.741968i \(0.733892\pi\)
\(104\) 5.51929 6.57764i 0.541211 0.644991i
\(105\) 4.77784 18.0802i 0.466269 1.76445i
\(106\) −1.38647 −0.134666
\(107\) 5.10424 8.84081i 0.493446 0.854673i −0.506526 0.862225i \(-0.669070\pi\)
0.999971 + 0.00755167i \(0.00240379\pi\)
\(108\) −0.905155 9.24376i −0.0870986 0.889481i
\(109\) 9.68120 + 11.5376i 0.927291 + 1.10510i 0.994222 + 0.107344i \(0.0342347\pi\)
−0.0669312 + 0.997758i \(0.521321\pi\)
\(110\) −4.17354 + 1.51904i −0.397931 + 0.144835i
\(111\) −0.750962 0.347032i −0.0712782 0.0329389i
\(112\) −1.93142 10.9536i −0.182502 1.03502i
\(113\) −1.01676 1.76109i −0.0956492 0.165669i 0.814230 0.580542i \(-0.197159\pi\)
−0.909879 + 0.414873i \(0.863826\pi\)
\(114\) 3.44793 0.475351i 0.322928 0.0445207i
\(115\) 2.88503 4.99701i 0.269030 0.465974i
\(116\) −2.06395 0.751216i −0.191633 0.0697487i
\(117\) −7.28819 + 12.8270i −0.673794 + 1.18585i
\(118\) −3.08266 2.58666i −0.283782 0.238121i
\(119\) −27.7726 + 4.89706i −2.54591 + 0.448913i
\(120\) 2.07760 7.86203i 0.189658 0.717702i
\(121\) −1.83725 −0.167023
\(122\) −1.95913 + 3.39332i −0.177371 + 0.307216i
\(123\) −0.992771 3.65462i −0.0895151 0.329526i
\(124\) −7.08378 1.24906i −0.636143 0.112169i
\(125\) 6.45006 3.72395i 0.576911 0.333080i
\(126\) −1.93532 5.20528i −0.172412 0.463723i
\(127\) 19.1239 + 3.37206i 1.69697 + 0.299222i 0.936636 0.350305i \(-0.113922\pi\)
0.760338 + 0.649528i \(0.225033\pi\)
\(128\) −1.92378 10.9103i −0.170040 0.964345i
\(129\) 3.83749 + 1.01409i 0.337872 + 0.0892852i
\(130\) −4.66975 + 3.91839i −0.409564 + 0.343665i
\(131\) −8.60415 + 1.51714i −0.751748 + 0.132553i −0.536377 0.843979i \(-0.680207\pi\)
−0.215372 + 0.976532i \(0.569096\pi\)
\(132\) 6.33112 9.10845i 0.551053 0.792789i
\(133\) −16.1526 + 6.74090i −1.40060 + 0.584510i
\(134\) 4.94109i 0.426846i
\(135\) −1.07370 + 13.9306i −0.0924098 + 1.19895i
\(136\) −12.0767 + 2.12944i −1.03557 + 0.182598i
\(137\) −3.49164 9.59321i −0.298311 0.819604i −0.994782 0.102019i \(-0.967470\pi\)
0.696471 0.717585i \(-0.254752\pi\)
\(138\) −0.155223 1.70643i −0.0132135 0.145261i
\(139\) −0.991213 + 0.360772i −0.0840736 + 0.0306003i −0.383715 0.923452i \(-0.625355\pi\)
0.299641 + 0.954052i \(0.403133\pi\)
\(140\) 19.2992i 1.63108i
\(141\) −5.63314 + 8.10428i −0.474396 + 0.682503i
\(142\) 0.0876919 0.497325i 0.00735894 0.0417346i
\(143\) −16.5569 + 6.02621i −1.38456 + 0.503937i
\(144\) 2.89595 + 7.78904i 0.241330 + 0.649086i
\(145\) 2.86140 + 1.65203i 0.237626 + 0.137193i
\(146\) 1.57333 + 1.32018i 0.130210 + 0.109259i
\(147\) 9.10836 + 12.9131i 0.751245 + 1.06505i
\(148\) 0.840769 + 0.148250i 0.0691108 + 0.0121861i
\(149\) −9.56694 11.4014i −0.783755 0.934042i 0.215342 0.976539i \(-0.430913\pi\)
−0.999097 + 0.0424963i \(0.986469\pi\)
\(150\) −0.747002 + 1.61648i −0.0609925 + 0.131985i
\(151\) 11.9604 + 6.90536i 0.973326 + 0.561950i 0.900249 0.435376i \(-0.143385\pi\)
0.0730776 + 0.997326i \(0.476718\pi\)
\(152\) −7.02380 + 2.93122i −0.569705 + 0.237753i
\(153\) 19.7489 7.34261i 1.59660 0.593615i
\(154\) 2.26843 6.23247i 0.182796 0.502227i
\(155\) 10.1680 + 3.70083i 0.816710 + 0.297258i
\(156\) 3.88979 14.7197i 0.311432 1.17852i
\(157\) 2.97763 + 1.08377i 0.237640 + 0.0864941i 0.458095 0.888903i \(-0.348532\pi\)
−0.220455 + 0.975397i \(0.570754\pi\)
\(158\) −1.43483 3.94215i −0.114149 0.313621i
\(159\) −4.71341 + 2.21772i −0.373798 + 0.175876i
\(160\) 12.8236i 1.01380i
\(161\) 2.94705 + 8.09695i 0.232260 + 0.638129i
\(162\) 2.12390 + 3.56426i 0.166869 + 0.280035i
\(163\) −0.913014 1.58139i −0.0715128 0.123864i 0.828052 0.560652i \(-0.189449\pi\)
−0.899564 + 0.436788i \(0.856116\pi\)
\(164\) 1.95412 + 3.38463i 0.152591 + 0.264296i
\(165\) −11.7585 + 11.8399i −0.915398 + 0.921732i
\(166\) 2.39675 6.58501i 0.186024 0.511096i
\(167\) −0.823788 + 4.67193i −0.0637466 + 0.361525i 0.936203 + 0.351460i \(0.114315\pi\)
−0.999949 + 0.0100645i \(0.996796\pi\)
\(168\) 6.99955 + 9.92340i 0.540027 + 0.765607i
\(169\) −8.56683 + 7.18843i −0.658987 + 0.552956i
\(170\) 8.70602 0.667721
\(171\) 10.9612 7.13111i 0.838222 0.545329i
\(172\) −4.09622 −0.312334
\(173\) −4.74859 + 3.98454i −0.361029 + 0.302939i −0.805201 0.593002i \(-0.797942\pi\)
0.444172 + 0.895942i \(0.353498\pi\)
\(174\) 0.977137 0.0888841i 0.0740766 0.00673829i
\(175\) 1.55499 8.81879i 0.117546 0.666638i
\(176\) −3.39442 + 9.32610i −0.255864 + 0.702981i
\(177\) −14.6172 3.86271i −1.09870 0.290339i
\(178\) 0.437675 + 0.758075i 0.0328051 + 0.0568201i
\(179\) 1.57339 + 2.72519i 0.117601 + 0.203690i 0.918816 0.394685i \(-0.129146\pi\)
−0.801216 + 0.598376i \(0.795813\pi\)
\(180\) −2.60167 14.1823i −0.193917 1.05708i
\(181\) −1.17638 3.23207i −0.0874394 0.240238i 0.888264 0.459333i \(-0.151912\pi\)
−0.975703 + 0.219096i \(0.929689\pi\)
\(182\) 9.10323i 0.674776i
\(183\) −1.23247 + 14.6696i −0.0911070 + 1.08441i
\(184\) 1.28150 + 3.52088i 0.0944732 + 0.259563i
\(185\) −1.20683 0.439249i −0.0887277 0.0322943i
\(186\) 3.10088 0.842348i 0.227368 0.0617640i
\(187\) 23.6461 + 8.60646i 1.72917 + 0.629367i
\(188\) 3.48365 9.57126i 0.254072 0.698056i
\(189\) −14.9053 14.6001i −1.08420 1.06200i
\(190\) 5.27210 1.18349i 0.382478 0.0858593i
\(191\) 8.51271 + 4.91482i 0.615958 + 0.355624i 0.775294 0.631601i \(-0.217602\pi\)
−0.159335 + 0.987225i \(0.550935\pi\)
\(192\) −3.33586 4.72931i −0.240745 0.341309i
\(193\) 2.82149 + 3.36253i 0.203096 + 0.242040i 0.857972 0.513696i \(-0.171724\pi\)
−0.654877 + 0.755736i \(0.727280\pi\)
\(194\) −4.69951 0.828650i −0.337405 0.0594936i
\(195\) −9.60756 + 20.7903i −0.688012 + 1.48883i
\(196\) −12.4925 10.4825i −0.892324 0.748749i
\(197\) −5.16672 2.98300i −0.368113 0.212530i 0.304521 0.952506i \(-0.401504\pi\)
−0.672634 + 0.739975i \(0.734837\pi\)
\(198\) −0.826804 + 4.88580i −0.0587584 + 0.347219i
\(199\) −5.30760 + 1.93181i −0.376246 + 0.136942i −0.523219 0.852198i \(-0.675269\pi\)
0.146973 + 0.989140i \(0.453047\pi\)
\(200\) 0.676173 3.83477i 0.0478127 0.271159i
\(201\) −7.90349 16.7976i −0.557469 1.18481i
\(202\) 5.34868i 0.376332i
\(203\) −4.63649 + 1.68754i −0.325417 + 0.118442i
\(204\) −17.7684 + 12.5331i −1.24404 + 0.877492i
\(205\) −2.01079 5.52460i −0.140440 0.385855i
\(206\) −1.93180 + 0.340629i −0.134595 + 0.0237327i
\(207\) −3.25720 5.55285i −0.226391 0.385950i
\(208\) 13.6218i 0.944504i
\(209\) 15.4893 + 1.99739i 1.07142 + 0.138162i
\(210\) −3.67043 7.80093i −0.253284 0.538315i
\(211\) −18.7120 + 3.29943i −1.28819 + 0.227142i −0.775453 0.631405i \(-0.782479\pi\)
−0.512734 + 0.858547i \(0.671367\pi\)
\(212\) 4.11807 3.45547i 0.282830 0.237322i
\(213\) −0.497377 1.83096i −0.0340797 0.125456i
\(214\) −0.817225 4.63471i −0.0558643 0.316822i
\(215\) 6.06833 + 1.07001i 0.413856 + 0.0729741i
\(216\) −6.48144 6.34874i −0.441006 0.431977i
\(217\) −13.9938 + 8.07930i −0.949958 + 0.548458i
\(218\) 6.83790 + 1.20571i 0.463121 + 0.0816608i
\(219\) 7.46036 + 1.97146i 0.504125 + 0.133219i
\(220\) 8.61029 14.9135i 0.580505 1.00546i
\(221\) 34.5377 2.32326
\(222\) −0.368042 + 0.0999777i −0.0247013 + 0.00671006i
\(223\) 3.50317 0.617704i 0.234590 0.0413645i −0.0551172 0.998480i \(-0.517553\pi\)
0.289707 + 0.957115i \(0.406442\pi\)
\(224\) −14.6697 12.3093i −0.980158 0.822450i
\(225\) 0.0461322 + 6.69021i 0.00307548 + 0.446014i
\(226\) −0.880939 0.320636i −0.0585992 0.0213284i
\(227\) 14.2517 24.6846i 0.945917 1.63838i 0.192012 0.981393i \(-0.438499\pi\)
0.753905 0.656983i \(-0.228168\pi\)
\(228\) −9.05628 + 10.0051i −0.599766 + 0.662603i
\(229\) −3.73368 6.46693i −0.246729 0.427347i 0.715887 0.698216i \(-0.246022\pi\)
−0.962616 + 0.270869i \(0.912689\pi\)
\(230\) −0.461912 2.61964i −0.0304576 0.172734i
\(231\) −2.25738 24.8162i −0.148525 1.63279i
\(232\) −2.01613 + 0.733813i −0.132366 + 0.0481772i
\(233\) −3.34493 3.98634i −0.219134 0.261154i 0.645267 0.763957i \(-0.276746\pi\)
−0.864401 + 0.502804i \(0.832302\pi\)
\(234\) 1.22718 + 6.68961i 0.0802232 + 0.437314i
\(235\) −7.66104 + 13.2693i −0.499751 + 0.865594i
\(236\) 15.6027 1.01565
\(237\) −11.1834 11.1066i −0.726443 0.721451i
\(238\) −8.35685 + 9.95931i −0.541694 + 0.645566i
\(239\) −4.69171 2.70876i −0.303481 0.175215i 0.340524 0.940236i \(-0.389395\pi\)
−0.644006 + 0.765021i \(0.722729\pi\)
\(240\) 5.49233 + 11.6731i 0.354528 + 0.753495i
\(241\) −3.83553 + 4.57100i −0.247068 + 0.294444i −0.875298 0.483583i \(-0.839335\pi\)
0.628230 + 0.778027i \(0.283780\pi\)
\(242\) −0.648831 + 0.544434i −0.0417084 + 0.0349975i
\(243\) 12.9215 + 8.71973i 0.828917 + 0.559371i
\(244\) −2.63811 14.9615i −0.168888 0.957810i
\(245\) 15.7688 + 18.7925i 1.00743 + 1.20061i
\(246\) −1.43358 0.996455i −0.0914017 0.0635317i
\(247\) 20.9150 4.69503i 1.33079 0.298738i
\(248\) −6.08506 + 3.51321i −0.386402 + 0.223089i
\(249\) −2.38507 26.2200i −0.151147 1.66162i
\(250\) 1.17434 3.22648i 0.0742720 0.204061i
\(251\) −3.69670 + 4.40555i −0.233333 + 0.278076i −0.869988 0.493073i \(-0.835873\pi\)
0.636654 + 0.771149i \(0.280318\pi\)
\(252\) 18.7212 + 10.6373i 1.17933 + 0.670085i
\(253\) 1.33510 7.57171i 0.0839369 0.476030i
\(254\) 7.75293 4.47616i 0.486462 0.280859i
\(255\) 29.5968 13.9256i 1.85342 0.872058i
\(256\) 1.20683 + 1.01265i 0.0754266 + 0.0632905i
\(257\) 10.2043 + 8.56245i 0.636529 + 0.534111i 0.902950 0.429746i \(-0.141397\pi\)
−0.266421 + 0.963857i \(0.585841\pi\)
\(258\) 1.65573 0.779040i 0.103081 0.0485009i
\(259\) 1.66091 0.958926i 0.103204 0.0595848i
\(260\) 4.10430 23.2766i 0.254538 1.44356i
\(261\) 3.17968 1.86514i 0.196817 0.115449i
\(262\) −2.58901 + 3.08546i −0.159950 + 0.190621i
\(263\) −9.26200 + 25.4471i −0.571119 + 1.56914i 0.231620 + 0.972806i \(0.425597\pi\)
−0.802739 + 0.596331i \(0.796625\pi\)
\(264\) −0.981601 10.7911i −0.0604134 0.664147i
\(265\) −7.00332 + 4.04337i −0.430210 + 0.248382i
\(266\) −3.70680 + 7.16708i −0.227278 + 0.439442i
\(267\) 2.70048 + 1.87706i 0.165267 + 0.114874i
\(268\) 12.3146 + 14.6759i 0.752233 + 0.896476i
\(269\) 2.43598 + 13.8151i 0.148524 + 0.842322i 0.964470 + 0.264193i \(0.0851057\pi\)
−0.815946 + 0.578129i \(0.803783\pi\)
\(270\) 3.74888 + 5.23780i 0.228149 + 0.318762i
\(271\) 7.78007 6.52825i 0.472605 0.396563i −0.375138 0.926969i \(-0.622405\pi\)
0.847744 + 0.530406i \(0.177960\pi\)
\(272\) 12.5050 14.9028i 0.758225 0.903618i
\(273\) −14.5610 30.9471i −0.881272 1.87301i
\(274\) −4.07586 2.35320i −0.246231 0.142162i
\(275\) −5.13609 + 6.12095i −0.309718 + 0.369107i
\(276\) 4.71393 + 4.68154i 0.283745 + 0.281796i
\(277\) 5.68768 0.341740 0.170870 0.985294i \(-0.445342\pi\)
0.170870 + 0.985294i \(0.445342\pi\)
\(278\) −0.243142 + 0.421135i −0.0145827 + 0.0252580i
\(279\) 9.19432 7.82362i 0.550450 0.468388i
\(280\) 12.1179 + 14.4416i 0.724184 + 0.863049i
\(281\) 11.8182 4.30148i 0.705016 0.256605i 0.0354652 0.999371i \(-0.488709\pi\)
0.669551 + 0.742766i \(0.266486\pi\)
\(282\) 0.412187 + 4.53133i 0.0245454 + 0.269837i
\(283\) 0.409204 + 2.32071i 0.0243246 + 0.137952i 0.994552 0.104246i \(-0.0332429\pi\)
−0.970227 + 0.242198i \(0.922132\pi\)
\(284\) 0.979012 + 1.69570i 0.0580937 + 0.100621i
\(285\) 16.0299 12.4563i 0.949529 0.737848i
\(286\) −4.06137 + 7.03450i −0.240154 + 0.415959i
\(287\) 8.25005 + 3.00277i 0.486985 + 0.177248i
\(288\) 12.4395 + 7.06806i 0.733007 + 0.416489i
\(289\) −24.7630 20.7786i −1.45665 1.22227i
\(290\) 1.50006 0.264501i 0.0880866 0.0155320i
\(291\) −17.3018 + 4.70000i −1.01425 + 0.275519i
\(292\) −7.96335 −0.466020
\(293\) −10.6813 + 18.5005i −0.624006 + 1.08081i 0.364726 + 0.931115i \(0.381163\pi\)
−0.988732 + 0.149695i \(0.952171\pi\)
\(294\) 7.04321 + 1.86122i 0.410768 + 0.108549i
\(295\) −23.1146 4.07573i −1.34578 0.237298i
\(296\) 0.722231 0.416980i 0.0419788 0.0242365i
\(297\) 5.00426 + 17.9322i 0.290377 + 1.04053i
\(298\) −6.75720 1.19148i −0.391434 0.0690204i
\(299\) −1.83246 10.3924i −0.105974 0.601007i
\(300\) −1.80998 6.66297i −0.104499 0.384687i
\(301\) −7.04899 + 5.91481i −0.406297 + 0.340924i
\(302\) 6.27015 1.10560i 0.360806 0.0636199i
\(303\) 8.55545 + 18.1833i 0.491498 + 1.04460i
\(304\) 5.54675 10.7246i 0.318128 0.615100i
\(305\) 22.8537i 1.30860i
\(306\) 4.79854 8.44528i 0.274315 0.482784i
\(307\) −10.8004 + 1.90439i −0.616409 + 0.108689i −0.473130 0.880993i \(-0.656876\pi\)
−0.143279 + 0.989682i \(0.545765\pi\)
\(308\) 8.79539 + 24.1651i 0.501164 + 1.37694i
\(309\) −6.02246 + 4.24799i −0.342606 + 0.241660i
\(310\) 4.68752 1.70612i 0.266233 0.0969011i
\(311\) 1.28709i 0.0729840i 0.999334 + 0.0364920i \(0.0116183\pi\)
−0.999334 + 0.0364920i \(0.988382\pi\)
\(312\) −6.33172 13.4571i −0.358463 0.761857i
\(313\) 2.37807 13.4867i 0.134417 0.762315i −0.840848 0.541272i \(-0.817943\pi\)
0.975264 0.221043i \(-0.0709460\pi\)
\(314\) 1.37271 0.499627i 0.0774667 0.0281956i
\(315\) −24.9558 20.6489i −1.40610 1.16343i
\(316\) 14.0866 + 8.13293i 0.792435 + 0.457513i
\(317\) −23.4024 19.6369i −1.31441 1.10292i −0.987459 0.157877i \(-0.949535\pi\)
−0.326949 0.945042i \(-0.606021\pi\)
\(318\) −1.00738 + 2.17993i −0.0564911 + 0.122244i
\(319\) 4.33573 + 0.764506i 0.242754 + 0.0428041i
\(320\) −5.77518 6.88259i −0.322842 0.384749i
\(321\) −10.1916 14.4489i −0.568842 0.806458i
\(322\) 3.44014 + 1.98616i 0.191711 + 0.110685i
\(323\) −27.1920 14.0636i −1.51300 0.782521i
\(324\) −15.1915 5.29317i −0.843972 0.294065i
\(325\) −3.75092 + 10.3056i −0.208063 + 0.571650i
\(326\) −0.791048 0.287918i −0.0438121 0.0159463i
\(327\) 25.1746 6.83862i 1.39216 0.378176i
\(328\) 3.58746 + 1.30573i 0.198084 + 0.0720968i
\(329\) −7.82573 21.5010i −0.431447 1.18539i
\(330\) −0.644039 + 7.66570i −0.0354532 + 0.421983i
\(331\) 16.2936i 0.895576i −0.894140 0.447788i \(-0.852212\pi\)
0.894140 0.447788i \(-0.147788\pi\)
\(332\) 9.29290 + 25.5320i 0.510014 + 1.40125i
\(333\) −1.09127 + 0.928580i −0.0598011 + 0.0508859i
\(334\) 1.09352 + 1.89402i 0.0598345 + 0.103636i
\(335\) −14.4097 24.9584i −0.787288 1.36362i
\(336\) −18.6256 4.92195i −1.01611 0.268514i
\(337\) −2.12803 + 5.84672i −0.115921 + 0.318491i −0.984062 0.177828i \(-0.943093\pi\)
0.868140 + 0.496319i \(0.165315\pi\)
\(338\) −0.895254 + 5.07724i −0.0486954 + 0.276165i
\(339\) −3.50769 + 0.319073i −0.190512 + 0.0173297i
\(340\) −25.8585 + 21.6978i −1.40237 + 1.17673i
\(341\) 14.4182 0.780789
\(342\) 1.75781 5.76651i 0.0950515 0.311817i
\(343\) −8.52638 −0.460381
\(344\) −3.06519 + 2.57200i −0.165264 + 0.138673i
\(345\) −5.76053 8.16681i −0.310136 0.439686i
\(346\) −0.496239 + 2.81431i −0.0266780 + 0.151298i
\(347\) 4.93948 13.5711i 0.265165 0.728535i −0.733634 0.679545i \(-0.762177\pi\)
0.998799 0.0489907i \(-0.0156005\pi\)
\(348\) −2.68075 + 2.69930i −0.143703 + 0.144698i
\(349\) 17.0912 + 29.6028i 0.914870 + 1.58460i 0.807092 + 0.590426i \(0.201040\pi\)
0.107778 + 0.994175i \(0.465626\pi\)
\(350\) −2.06413 3.57518i −0.110332 0.191101i
\(351\) 14.8722 + 20.7789i 0.793820 + 1.10910i
\(352\) 5.84420 + 16.0568i 0.311497 + 0.855831i
\(353\) 10.0921i 0.537148i 0.963259 + 0.268574i \(0.0865525\pi\)
−0.963259 + 0.268574i \(0.913448\pi\)
\(354\) −6.30677 + 2.96741i −0.335201 + 0.157716i
\(355\) −1.00740 2.76782i −0.0534675 0.146901i
\(356\) −3.18931 1.16081i −0.169033 0.0615230i
\(357\) −12.4795 + 47.2246i −0.660483 + 2.49939i
\(358\) 1.36321 + 0.496167i 0.0720477 + 0.0262232i
\(359\) 1.69891 4.66772i 0.0896652 0.246353i −0.886752 0.462246i \(-0.847044\pi\)
0.976417 + 0.215893i \(0.0692661\pi\)
\(360\) −10.8518 8.97897i −0.571941 0.473233i
\(361\) −18.3784 4.82005i −0.967286 0.253687i
\(362\) −1.37320 0.792820i −0.0721740 0.0416697i
\(363\) −1.33491 + 2.88868i −0.0700645 + 0.151616i
\(364\) 22.6878 + 27.0382i 1.18916 + 1.41719i
\(365\) 11.7973 + 2.08018i 0.617497 + 0.108881i
\(366\) 3.91180 + 5.54583i 0.204473 + 0.289885i
\(367\) 24.8887 + 20.8841i 1.29918 + 1.09014i 0.990286 + 0.139046i \(0.0444036\pi\)
0.308895 + 0.951096i \(0.400041\pi\)
\(368\) −5.14773 2.97204i −0.268344 0.154928i
\(369\) −6.46744 1.09446i −0.336682 0.0569752i
\(370\) −0.556359 + 0.202498i −0.0289237 + 0.0105274i
\(371\) 2.09700 11.8927i 0.108871 0.617438i
\(372\) −7.11082 + 10.2302i −0.368679 + 0.530411i
\(373\) 20.4879i 1.06082i −0.847740 0.530412i \(-0.822037\pi\)
0.847740 0.530412i \(-0.177963\pi\)
\(374\) 10.9011 3.96766i 0.563680 0.205163i
\(375\) −1.16862 12.8471i −0.0603473 0.663421i
\(376\) −3.40295 9.34952i −0.175494 0.482165i
\(377\) 5.95090 1.04930i 0.306487 0.0540419i
\(378\) −9.59034 0.739180i −0.493274 0.0380193i
\(379\) 32.7082i 1.68011i 0.542504 + 0.840053i \(0.317476\pi\)
−0.542504 + 0.840053i \(0.682524\pi\)
\(380\) −12.7095 + 16.6547i −0.651984 + 0.854369i
\(381\) 19.1969 27.6182i 0.983487 1.41492i
\(382\) 4.46271 0.786896i 0.228332 0.0402611i
\(383\) −7.62881 + 6.40133i −0.389814 + 0.327093i −0.816541 0.577288i \(-0.804111\pi\)
0.426727 + 0.904381i \(0.359667\pi\)
\(384\) −18.5519 4.90248i −0.946724 0.250179i
\(385\) −6.71750 38.0968i −0.342355 1.94159i
\(386\) 1.99284 + 0.351392i 0.101433 + 0.0178854i
\(387\) 4.38268 5.29682i 0.222784 0.269252i
\(388\) 16.0236 9.25124i 0.813476 0.469660i
\(389\) 14.3615 + 2.53232i 0.728157 + 0.128394i 0.525424 0.850840i \(-0.323907\pi\)
0.202733 + 0.979234i \(0.435018\pi\)
\(390\) 2.76787 + 10.1892i 0.140157 + 0.515950i
\(391\) −7.53553 + 13.0519i −0.381088 + 0.660064i
\(392\) −15.9300 −0.804588
\(393\) −3.86622 + 14.6305i −0.195025 + 0.738012i
\(394\) −2.70860 + 0.477600i −0.136457 + 0.0240611i
\(395\) −18.7441 15.7282i −0.943118 0.791370i
\(396\) −9.72102 16.5723i −0.488500 0.832792i
\(397\) −9.05656 3.29632i −0.454536 0.165437i 0.104599 0.994515i \(-0.466644\pi\)
−0.559134 + 0.829077i \(0.688866\pi\)
\(398\) −1.30194 + 2.25503i −0.0652605 + 0.113035i
\(399\) −1.13750 + 30.2942i −0.0569465 + 1.51661i
\(400\) 3.08871 + 5.34980i 0.154435 + 0.267490i
\(401\) 4.89142 + 27.7406i 0.244266 + 1.38530i 0.822192 + 0.569211i \(0.192751\pi\)
−0.577926 + 0.816089i \(0.696138\pi\)
\(402\) −7.76881 3.59010i −0.387473 0.179058i
\(403\) 18.5959 6.76836i 0.926329 0.337156i
\(404\) −13.3304 15.8866i −0.663213 0.790386i
\(405\) 21.1227 + 11.8098i 1.04959 + 0.586835i
\(406\) −1.13732 + 1.96990i −0.0564443 + 0.0977644i
\(407\) −1.71129 −0.0848253
\(408\) −5.42658 + 20.5352i −0.268656 + 1.01664i
\(409\) 9.96645 11.8776i 0.492809 0.587307i −0.461120 0.887338i \(-0.652552\pi\)
0.953930 + 0.300030i \(0.0969968\pi\)
\(410\) −2.34723 1.35517i −0.115921 0.0669273i
\(411\) −17.6202 1.48037i −0.869142 0.0730215i
\(412\) 4.88886 5.82632i 0.240857 0.287042i
\(413\) 26.8500 22.5298i 1.32120 1.10862i
\(414\) −2.79577 0.995801i −0.137405 0.0489409i
\(415\) −7.09747 40.2518i −0.348401 1.97588i
\(416\) 15.0752 + 17.9659i 0.739120 + 0.880849i
\(417\) −0.152959 + 1.82060i −0.00749042 + 0.0891551i
\(418\) 6.06199 3.88457i 0.296502 0.190001i
\(419\) −31.9563 + 18.4500i −1.56117 + 0.901341i −0.564029 + 0.825755i \(0.690750\pi\)
−0.997139 + 0.0755865i \(0.975917\pi\)
\(420\) 30.3439 + 14.0224i 1.48063 + 0.684225i
\(421\) −5.38378 + 14.7918i −0.262389 + 0.720908i 0.736616 + 0.676311i \(0.236423\pi\)
−0.999005 + 0.0445970i \(0.985800\pi\)
\(422\) −5.63049 + 6.71016i −0.274088 + 0.326645i
\(423\) 8.64932 + 14.7453i 0.420544 + 0.716941i
\(424\) 0.911863 5.17143i 0.0442840 0.251147i
\(425\) 13.5643 7.83133i 0.657964 0.379876i
\(426\) −0.718222 0.499223i −0.0347980 0.0241874i
\(427\) −26.1437 21.9371i −1.26518 1.06161i
\(428\) 13.9783 + 11.7292i 0.675666 + 0.566951i
\(429\) −2.55497 + 30.4107i −0.123355 + 1.46824i
\(430\) 2.46013 1.42036i 0.118638 0.0684957i
\(431\) −5.03464 + 28.5529i −0.242510 + 1.37534i 0.583694 + 0.811974i \(0.301607\pi\)
−0.826204 + 0.563371i \(0.809504\pi\)
\(432\) 14.3507 + 1.10609i 0.690450 + 0.0532168i
\(433\) 18.4759 22.0187i 0.887894 1.05815i −0.110041 0.993927i \(-0.535098\pi\)
0.997936 0.0642239i \(-0.0204572\pi\)
\(434\) −2.54780 + 7.00002i −0.122298 + 0.336012i
\(435\) 4.67649 3.29860i 0.224221 0.158156i
\(436\) −23.3148 + 13.4608i −1.11657 + 0.644655i
\(437\) −2.78902 + 8.92822i −0.133417 + 0.427095i
\(438\) 3.21886 1.51451i 0.153803 0.0723661i
\(439\) −12.4493 14.8366i −0.594175 0.708110i 0.382228 0.924068i \(-0.375157\pi\)
−0.976403 + 0.215958i \(0.930713\pi\)
\(440\) −2.92104 16.5661i −0.139255 0.789756i
\(441\) 26.9210 4.93854i 1.28195 0.235169i
\(442\) 12.1971 10.2346i 0.580158 0.486811i
\(443\) 12.0409 14.3497i 0.572079 0.681777i −0.399977 0.916525i \(-0.630982\pi\)
0.972056 + 0.234748i \(0.0754265\pi\)
\(444\) 0.843978 1.21421i 0.0400534 0.0576240i
\(445\) 4.42156 + 2.55279i 0.209602 + 0.121014i
\(446\) 1.05411 1.25624i 0.0499137 0.0594848i
\(447\) −24.8775 + 6.75791i −1.17666 + 0.319638i
\(448\) 13.4170 0.633892
\(449\) −4.73186 + 8.19582i −0.223310 + 0.386785i −0.955811 0.293981i \(-0.905020\pi\)
0.732501 + 0.680766i \(0.238353\pi\)
\(450\) 1.99881 + 2.34900i 0.0942248 + 0.110733i
\(451\) −5.03554 6.00112i −0.237114 0.282582i
\(452\) 3.41566 1.24320i 0.160659 0.0584752i
\(453\) 19.5474 13.7879i 0.918417 0.647813i
\(454\) −2.28179 12.9407i −0.107090 0.607336i
\(455\) −26.5478 45.9821i −1.24458 2.15568i
\(456\) −0.494634 + 13.1732i −0.0231633 + 0.616891i
\(457\) −4.84785 + 8.39673i −0.226773 + 0.392782i −0.956850 0.290583i \(-0.906151\pi\)
0.730077 + 0.683365i \(0.239484\pi\)
\(458\) −3.23492 1.17741i −0.151158 0.0550169i
\(459\) 2.80446 36.3859i 0.130901 1.69835i
\(460\) 7.90082 + 6.62958i 0.368378 + 0.309106i
\(461\) −36.1462 + 6.37354i −1.68349 + 0.296846i −0.931883 0.362760i \(-0.881835\pi\)
−0.751612 + 0.659605i \(0.770723\pi\)
\(462\) −8.15102 8.09501i −0.379220 0.376614i
\(463\) −5.72670 −0.266142 −0.133071 0.991106i \(-0.542484\pi\)
−0.133071 + 0.991106i \(0.542484\pi\)
\(464\) 1.70186 2.94770i 0.0790067 0.136844i
\(465\) 13.2066 13.2980i 0.612441 0.616679i
\(466\) −2.36255 0.416581i −0.109443 0.0192978i
\(467\) −17.8988 + 10.3339i −0.828258 + 0.478195i −0.853256 0.521493i \(-0.825375\pi\)
0.0249981 + 0.999687i \(0.492042\pi\)
\(468\) −20.3173 16.8109i −0.939168 0.777083i
\(469\) 42.3832 + 7.47330i 1.95707 + 0.345085i
\(470\) 1.22658 + 6.95631i 0.0565781 + 0.320871i
\(471\) 3.86748 3.89424i 0.178204 0.179437i
\(472\) 11.6755 9.79690i 0.537408 0.450939i
\(473\) 8.08597 1.42577i 0.371793 0.0655572i
\(474\) −7.24071 0.608333i −0.332577 0.0279416i
\(475\) 7.14953 6.58633i 0.328043 0.302202i
\(476\) 50.4086i 2.31047i
\(477\) 0.0622123 + 9.02218i 0.00284851 + 0.413097i
\(478\) −2.45958 + 0.433691i −0.112499 + 0.0198366i
\(479\) 3.98266 + 10.9423i 0.181973 + 0.499966i 0.996818 0.0797130i \(-0.0254004\pi\)
−0.814845 + 0.579679i \(0.803178\pi\)
\(480\) 20.1624 + 9.31738i 0.920282 + 0.425278i
\(481\) −2.20714 + 0.803332i −0.100637 + 0.0366288i
\(482\) 2.75085i 0.125298i
\(483\) 14.8720 + 1.24948i 0.676698 + 0.0568532i
\(484\) 0.570265 3.23413i 0.0259211 0.147006i
\(485\) −26.1547 + 9.51953i −1.18762 + 0.432260i
\(486\) 7.14722 0.749650i 0.324204 0.0340048i
\(487\) 15.6688 + 9.04638i 0.710021 + 0.409931i 0.811069 0.584951i \(-0.198886\pi\)
−0.101048 + 0.994882i \(0.532220\pi\)
\(488\) −11.3683 9.53917i −0.514620 0.431818i
\(489\) −3.14977 + 0.286515i −0.142437 + 0.0129567i
\(490\) 11.1376 + 1.96386i 0.503146 + 0.0887182i
\(491\) 14.9636 + 17.8330i 0.675300 + 0.804791i 0.989495 0.144567i \(-0.0461791\pi\)
−0.314195 + 0.949358i \(0.601735\pi\)
\(492\) 6.74144 0.613227i 0.303927 0.0276464i
\(493\) −7.47381 4.31501i −0.336603 0.194338i
\(494\) 5.99493 7.85584i 0.269725 0.353451i
\(495\) 10.0722 + 27.0903i 0.452710 + 1.21762i
\(496\) 3.81246 10.4746i 0.171184 0.470325i
\(497\) 4.13327 + 1.50439i 0.185402 + 0.0674810i
\(498\) −8.61208 8.55290i −0.385917 0.383265i
\(499\) 6.66620 + 2.42630i 0.298420 + 0.108616i 0.486891 0.873463i \(-0.338131\pi\)
−0.188471 + 0.982079i \(0.560353\pi\)
\(500\) 4.55327 + 12.5100i 0.203629 + 0.559465i
\(501\) 6.74706 + 4.68976i 0.301437 + 0.209523i
\(502\) 2.65128i 0.118333i
\(503\) −6.92989 19.0397i −0.308989 0.848939i −0.992854 0.119331i \(-0.961925\pi\)
0.683866 0.729608i \(-0.260297\pi\)
\(504\) 20.6882 3.79515i 0.921524 0.169049i
\(505\) 15.5984 + 27.0172i 0.694120 + 1.20225i
\(506\) −1.77224 3.06961i −0.0787857 0.136461i
\(507\) 5.07777 + 18.6925i 0.225512 + 0.830162i
\(508\) −11.8718 + 32.6175i −0.526725 + 1.44717i
\(509\) −7.10496 + 40.2942i −0.314922 + 1.78601i 0.257735 + 0.966216i \(0.417024\pi\)
−0.572657 + 0.819795i \(0.694087\pi\)
\(510\) 6.32562 13.6883i 0.280103 0.606130i
\(511\) −13.7038 + 11.4988i −0.606219 + 0.508678i
\(512\) 22.8835 1.01132
\(513\) −3.24797 22.4154i −0.143401 0.989665i
\(514\) 6.14102 0.270869
\(515\) −8.76452 + 7.35430i −0.386211 + 0.324069i
\(516\) −2.97623 + 6.44043i −0.131021 + 0.283524i
\(517\) −3.54528 + 20.1063i −0.155921 + 0.884274i
\(518\) 0.302396 0.830827i 0.0132865 0.0365045i
\(519\) 2.81461 + 10.3612i 0.123548 + 0.454808i
\(520\) −11.5441 19.9949i −0.506241 0.876835i
\(521\) −11.7351 20.3257i −0.514122 0.890486i −0.999866 0.0163842i \(-0.994785\pi\)
0.485744 0.874101i \(-0.338549\pi\)
\(522\) 0.570217 1.60092i 0.0249577 0.0700704i
\(523\) −11.1640 30.6728i −0.488168 1.34123i −0.902338 0.431030i \(-0.858150\pi\)
0.414170 0.910200i \(-0.364072\pi\)
\(524\) 15.6169i 0.682228i
\(525\) −12.7358 8.85244i −0.555837 0.386352i
\(526\) 4.26987 + 11.7314i 0.186175 + 0.511512i
\(527\) −26.5581 9.66638i −1.15689 0.421074i
\(528\) 12.1970 + 12.1132i 0.530805 + 0.527158i
\(529\) −17.2858 6.29152i −0.751557 0.273544i
\(530\) −1.27507 + 3.50323i −0.0553856 + 0.152171i
\(531\) −16.6939 + 20.1759i −0.724452 + 0.875558i
\(532\) −6.85250 30.5259i −0.297093 1.32347i
\(533\) −9.31172 5.37612i −0.403335 0.232866i
\(534\) 1.50992 0.137348i 0.0653405 0.00594362i
\(535\) −17.6442 21.0275i −0.762825 0.909099i
\(536\) 18.4299 + 3.24970i 0.796052 + 0.140365i
\(537\) 5.42797 0.493749i 0.234234 0.0213068i
\(538\) 4.95412 + 4.15700i 0.213587 + 0.179221i
\(539\) 28.3090 + 16.3442i 1.21935 + 0.703995i
\(540\) −24.1889 6.21398i −1.04092 0.267407i
\(541\) −12.0005 + 4.36782i −0.515941 + 0.187787i −0.586850 0.809696i \(-0.699632\pi\)
0.0709091 + 0.997483i \(0.477410\pi\)
\(542\) 0.813035 4.61095i 0.0349229 0.198057i
\(543\) −5.93646 0.498756i −0.254758 0.0214037i
\(544\) 33.4946i 1.43607i
\(545\) 38.0558 13.8512i 1.63013 0.593319i
\(546\) −14.3129 6.61422i −0.612534 0.283063i
\(547\) −11.1278 30.5733i −0.475789 1.30722i −0.913037 0.407878i \(-0.866269\pi\)
0.437248 0.899341i \(-0.355953\pi\)
\(548\) 17.9708 3.16875i 0.767677 0.135362i
\(549\) 22.1692 + 12.5964i 0.946160 + 0.537601i
\(550\) 3.68362i 0.157070i
\(551\) −5.11249 1.59705i −0.217799 0.0680368i
\(552\) 6.46694 + 0.543324i 0.275251 + 0.0231254i
\(553\) 35.9847 6.34508i 1.53023 0.269820i
\(554\) 2.00863 1.68544i 0.0853384 0.0716074i
\(555\) −1.56748 + 1.57833i −0.0665359 + 0.0669963i
\(556\) −0.327409 1.85683i −0.0138852 0.0787470i
\(557\) −30.4300 5.36562i −1.28936 0.227349i −0.513409 0.858144i \(-0.671618\pi\)
−0.775949 + 0.630795i \(0.782729\pi\)
\(558\) 0.928627 5.48751i 0.0393119 0.232305i
\(559\) 9.75960 5.63471i 0.412787 0.238323i
\(560\) −29.4531 5.19338i −1.24462 0.219460i
\(561\) 30.7126 30.9251i 1.29669 1.30566i
\(562\) 2.89899 5.02119i 0.122286 0.211806i
\(563\) −23.5131 −0.990960 −0.495480 0.868619i \(-0.665008\pi\)
−0.495480 + 0.868619i \(0.665008\pi\)
\(564\) −12.5176 12.4316i −0.527086 0.523464i
\(565\) −5.38486 + 0.949497i −0.226543 + 0.0399456i
\(566\) 0.832210 + 0.698307i 0.0349804 + 0.0293521i
\(567\) −33.7855 + 12.8273i −1.41886 + 0.538694i
\(568\) 1.79732 + 0.654169i 0.0754137 + 0.0274483i
\(569\) 1.32667 2.29785i 0.0556167 0.0963310i −0.836877 0.547392i \(-0.815621\pi\)
0.892493 + 0.451061i \(0.148954\pi\)
\(570\) 1.96982 9.14915i 0.0825067 0.383216i
\(571\) 16.1864 + 28.0356i 0.677379 + 1.17326i 0.975767 + 0.218811i \(0.0702177\pi\)
−0.298388 + 0.954445i \(0.596449\pi\)
\(572\) −5.46893 31.0158i −0.228667 1.29684i
\(573\) 13.9127 9.81341i 0.581210 0.409961i
\(574\) 3.80335 1.38431i 0.158749 0.0577799i
\(575\) −3.07612 3.66598i −0.128283 0.152882i
\(576\) −9.85960 + 1.80870i −0.410817 + 0.0753625i
\(577\) 16.7591 29.0276i 0.697691 1.20844i −0.271574 0.962418i \(-0.587544\pi\)
0.969265 0.246019i \(-0.0791226\pi\)
\(578\) −14.9025 −0.619862
\(579\) 7.33689 1.99305i 0.304911 0.0828284i
\(580\) −3.79624 + 4.52418i −0.157630 + 0.187856i
\(581\) 52.8591 + 30.5182i 2.19297 + 1.26611i
\(582\) −4.71744 + 6.78689i −0.195544 + 0.281325i
\(583\) −6.92634 + 8.25449i −0.286860 + 0.341866i
\(584\) −5.95896 + 5.00016i −0.246583 + 0.206908i
\(585\) 25.7077 + 30.2117i 1.06288 + 1.24910i
\(586\) 1.71014 + 9.69871i 0.0706454 + 0.400650i
\(587\) 28.0469 + 33.4250i 1.15762 + 1.37960i 0.911979 + 0.410236i \(0.134554\pi\)
0.245640 + 0.969361i \(0.421002\pi\)
\(588\) −25.5583 + 12.0255i −1.05401 + 0.495922i
\(589\) −17.3968 2.24337i −0.716825 0.0924365i
\(590\) −9.37077 + 5.41022i −0.385788 + 0.222735i
\(591\) −8.44417 + 5.95616i −0.347347 + 0.245004i
\(592\) −0.452498 + 1.24323i −0.0185975 + 0.0510963i
\(593\) 14.5287 17.3146i 0.596621 0.711025i −0.380243 0.924887i \(-0.624160\pi\)
0.976864 + 0.213861i \(0.0686040\pi\)
\(594\) 7.08114 + 4.84990i 0.290543 + 0.198994i
\(595\) −13.1677 + 74.6775i −0.539821 + 3.06148i
\(596\) 23.0396 13.3019i 0.943739 0.544868i
\(597\) −0.819041 + 9.74868i −0.0335211 + 0.398987i
\(598\) −3.72673 3.12710i −0.152397 0.127876i
\(599\) −10.4777 8.79184i −0.428108 0.359225i 0.403130 0.915143i \(-0.367922\pi\)
−0.831237 + 0.555918i \(0.812367\pi\)
\(600\) −5.53806 3.84940i −0.226090 0.157151i
\(601\) −2.81916 + 1.62764i −0.114996 + 0.0663928i −0.556395 0.830918i \(-0.687816\pi\)
0.441399 + 0.897311i \(0.354482\pi\)
\(602\) −0.736637 + 4.17767i −0.0300231 + 0.170269i
\(603\) −32.1532 + 0.221712i −1.30938 + 0.00902881i
\(604\) −15.8680 + 18.9108i −0.645660 + 0.769468i
\(605\) −1.68963 + 4.64223i −0.0686933 + 0.188733i
\(606\) 8.40966 + 3.88625i 0.341619 + 0.157868i
\(607\) 34.5135 19.9264i 1.40086 0.808787i 0.406379 0.913705i \(-0.366791\pi\)
0.994481 + 0.104918i \(0.0334580\pi\)
\(608\) −4.55322 20.2833i −0.184658 0.822596i
\(609\) −0.715478 + 8.51601i −0.0289926 + 0.345086i
\(610\) 6.77227 + 8.07087i 0.274201 + 0.326780i
\(611\) 4.86600 + 27.5964i 0.196857 + 1.11643i
\(612\) 6.79543 + 37.0433i 0.274689 + 1.49739i
\(613\) 14.7663 12.3904i 0.596405 0.500443i −0.293883 0.955841i \(-0.594948\pi\)
0.890288 + 0.455398i \(0.150503\pi\)
\(614\) −3.24985 + 3.87302i −0.131153 + 0.156303i
\(615\) −10.1473 0.852528i −0.409177 0.0343772i
\(616\) 21.7548 + 12.5601i 0.876524 + 0.506061i
\(617\) 10.5837 12.6132i 0.426084 0.507788i −0.509704 0.860350i \(-0.670245\pi\)
0.935788 + 0.352562i \(0.114690\pi\)
\(618\) −0.868042 + 3.28484i −0.0349178 + 0.132136i
\(619\) 25.6956 1.03279 0.516397 0.856350i \(-0.327273\pi\)
0.516397 + 0.856350i \(0.327273\pi\)
\(620\) −9.67067 + 16.7501i −0.388384 + 0.672700i
\(621\) −11.0973 + 1.08665i −0.445318 + 0.0436059i
\(622\) 0.381404 + 0.454540i 0.0152929 + 0.0182254i
\(623\) −7.16450 + 2.60767i −0.287040 + 0.104474i
\(624\) 21.4174 + 9.89734i 0.857382 + 0.396211i
\(625\) −5.41386 30.7035i −0.216554 1.22814i
\(626\) −3.15671 5.46758i −0.126168 0.218529i
\(627\) 14.3947 22.9023i 0.574868 0.914631i
\(628\) −2.83200 + 4.90517i −0.113009 + 0.195738i
\(629\) 3.15217 + 1.14730i 0.125685 + 0.0457457i
\(630\) −14.9321 + 0.102964i −0.594911 + 0.00410220i
\(631\) −2.79689 2.34687i −0.111342 0.0934274i 0.585417 0.810733i \(-0.300931\pi\)
−0.696759 + 0.717305i \(0.745375\pi\)
\(632\) 15.6476 2.75910i 0.622429 0.109751i
\(633\) −8.40812 + 31.8179i −0.334193 + 1.26465i
\(634\) −14.0837 −0.559334
\(635\) 26.1077 45.2198i 1.03605 1.79449i
\(636\) −2.44088 8.98545i −0.0967871 0.356296i
\(637\) 44.1841 + 7.79085i 1.75064 + 0.308685i
\(638\) 1.75772 1.01482i 0.0695890 0.0401772i
\(639\) −3.24018 0.548322i −0.128180 0.0216913i
\(640\) −29.3366 5.17284i −1.15963 0.204474i
\(641\) −2.72716 15.4665i −0.107717 0.610891i −0.990100 0.140361i \(-0.955174\pi\)
0.882384 0.470530i \(-0.155937\pi\)
\(642\) −7.88087 2.08258i −0.311033 0.0821928i
\(643\) −19.4965 + 16.3595i −0.768869 + 0.645157i −0.940419 0.340018i \(-0.889567\pi\)
0.171550 + 0.985175i \(0.445122\pi\)
\(644\) −15.1679 + 2.67451i −0.597699 + 0.105391i
\(645\) 6.09148 8.76369i 0.239852 0.345070i
\(646\) −13.7704 + 3.09121i −0.541791 + 0.121622i
\(647\) 44.6229i 1.75431i 0.480211 + 0.877153i \(0.340560\pi\)
−0.480211 + 0.877153i \(0.659440\pi\)
\(648\) −14.6913 + 5.57782i −0.577129 + 0.219117i
\(649\) −30.7999 + 5.43085i −1.20900 + 0.213180i
\(650\) 1.72921 + 4.75096i 0.0678251 + 0.186348i
\(651\) 2.53538 + 27.8724i 0.0993695 + 1.09241i
\(652\) 3.06713 1.11634i 0.120118 0.0437194i
\(653\) 16.0521i 0.628168i −0.949395 0.314084i \(-0.898303\pi\)
0.949395 0.314084i \(-0.101697\pi\)
\(654\) 6.86400 9.87509i 0.268404 0.386147i
\(655\) −4.07943 + 23.1356i −0.159397 + 0.903983i
\(656\) −5.69123 + 2.07144i −0.222205 + 0.0808761i
\(657\) 8.52024 10.2974i 0.332406 0.401740i
\(658\) −9.13511 5.27416i −0.356124 0.205608i
\(659\) 1.86291 + 1.56317i 0.0725686 + 0.0608923i 0.678350 0.734739i \(-0.262695\pi\)
−0.605782 + 0.795631i \(0.707140\pi\)
\(660\) −17.1921 24.3736i −0.669203 0.948743i
\(661\) −44.6104 7.86602i −1.73514 0.305953i −0.785402 0.618985i \(-0.787544\pi\)
−0.949742 + 0.313033i \(0.898655\pi\)
\(662\) −4.82829 5.75413i −0.187657 0.223641i
\(663\) 25.0944 54.3032i 0.974587 2.10896i
\(664\) 22.9853 + 13.2706i 0.892003 + 0.514998i
\(665\) 2.17766 + 47.0124i 0.0844461 + 1.82306i
\(666\) −0.110218 + 0.651308i −0.00427086 + 0.0252377i
\(667\) −0.901847 + 2.47780i −0.0349197 + 0.0959410i
\(668\) −7.96837 2.90025i −0.308306 0.112214i
\(669\) 1.57413 5.95680i 0.0608593 0.230303i
\(670\) −12.4848 4.54410i −0.482330 0.175554i
\(671\) 10.4153 + 28.6158i 0.402078 + 1.10470i
\(672\) −30.0124 + 14.1212i −1.15775 + 0.544737i
\(673\) 5.67199i 0.218639i −0.994007 0.109320i \(-0.965133\pi\)
0.994007 0.109320i \(-0.0348672\pi\)
\(674\) 0.981043 + 2.69539i 0.0377884 + 0.103823i
\(675\) 10.5524 + 4.78844i 0.406164 + 0.184307i
\(676\) −9.99483 17.3115i −0.384416 0.665829i
\(677\) −18.4733 31.9968i −0.709988 1.22974i −0.964861 0.262761i \(-0.915367\pi\)
0.254873 0.966975i \(-0.417966\pi\)
\(678\) −1.14420 + 1.15212i −0.0439429 + 0.0442469i
\(679\) 14.2158 39.0576i 0.545552 1.49889i
\(680\) −5.72584 + 32.4728i −0.219576 + 1.24528i
\(681\) −28.4563 40.3431i −1.09045 1.54595i
\(682\) 5.09184 4.27256i 0.194977 0.163605i
\(683\) 32.6619 1.24977 0.624886 0.780716i \(-0.285146\pi\)
0.624886 + 0.780716i \(0.285146\pi\)
\(684\) 9.15074 + 21.5085i 0.349887 + 0.822400i
\(685\) −27.4506 −1.04883
\(686\) −3.01112 + 2.52663i −0.114965 + 0.0964673i
\(687\) −12.8807 + 1.17168i −0.491429 + 0.0447022i
\(688\) 1.10228 6.25136i 0.0420241 0.238331i
\(689\) −5.05835 + 13.8977i −0.192708 + 0.529461i
\(690\) −4.45443 1.17712i −0.169577 0.0448121i
\(691\) −2.25801 3.91098i −0.0858986 0.148781i 0.819875 0.572542i \(-0.194043\pi\)
−0.905774 + 0.423762i \(0.860709\pi\)
\(692\) −5.54013 9.59578i −0.210604 0.364777i
\(693\) −40.6584 14.4817i −1.54448 0.550115i
\(694\) −2.27715 6.25641i −0.0864393 0.237490i
\(695\) 2.83631i 0.107587i
\(696\) −0.311119 + 3.70311i −0.0117929 + 0.140366i
\(697\) 5.25208 + 14.4300i 0.198937 + 0.546574i
\(698\) 14.8080 + 5.38969i 0.560493 + 0.204003i
\(699\) −8.69802 + 2.36280i −0.328989 + 0.0893692i
\(700\) 15.0412 + 5.47454i 0.568503 + 0.206918i
\(701\) −8.52750 + 23.4291i −0.322079 + 0.884906i 0.667970 + 0.744188i \(0.267163\pi\)
−0.990050 + 0.140718i \(0.955059\pi\)
\(702\) 11.4096 + 2.93106i 0.430628 + 0.110626i
\(703\) 2.06482 + 0.266264i 0.0778762 + 0.0100423i
\(704\) −10.3679 5.98593i −0.390756 0.225603i
\(705\) 15.2968 + 21.6865i 0.576110 + 0.816762i
\(706\) 2.99060 + 3.56406i 0.112553 + 0.134135i
\(707\) −45.8793 8.08977i −1.72547 0.304247i
\(708\) 11.3366 24.5320i 0.426057 0.921967i
\(709\) −1.33119 1.11700i −0.0499938 0.0419497i 0.617448 0.786611i \(-0.288166\pi\)
−0.667442 + 0.744662i \(0.732611\pi\)
\(710\) −1.17596 0.678941i −0.0441330 0.0254802i
\(711\) −25.5884 + 9.51374i −0.959641 + 0.356793i
\(712\) −3.11542 + 1.13392i −0.116755 + 0.0424955i
\(713\) −1.49952 + 8.50420i −0.0561574 + 0.318485i
\(714\) 9.58696 + 20.3756i 0.358783 + 0.762538i
\(715\) 47.3768i 1.77179i
\(716\) −5.28556 + 1.92379i −0.197531 + 0.0718953i
\(717\) −7.66784 + 5.40857i −0.286361 + 0.201987i
\(718\) −0.783215 2.15186i −0.0292293 0.0803069i
\(719\) 14.6076 2.57571i 0.544770 0.0960577i 0.105511 0.994418i \(-0.466352\pi\)
0.439259 + 0.898360i \(0.355241\pi\)
\(720\) 22.3441 0.154073i 0.832714 0.00574197i
\(721\) 17.0856i 0.636300i
\(722\) −7.91875 + 3.74388i −0.294705 + 0.139333i
\(723\) 4.40010 + 9.35174i 0.163642 + 0.347795i
\(724\) 6.05459 1.06759i 0.225017 0.0396766i
\(725\) 2.09922 1.76145i 0.0779630 0.0654187i
\(726\) 0.384578 + 1.41572i 0.0142730 + 0.0525424i
\(727\) −1.77358 10.0585i −0.0657785 0.373049i −0.999872 0.0160192i \(-0.994901\pi\)
0.934093 0.357029i \(-0.116210\pi\)
\(728\) 33.9544 + 5.98708i 1.25843 + 0.221896i
\(729\) 23.0984 13.9808i 0.855498 0.517806i
\(730\) 4.78267 2.76128i 0.177015 0.102199i
\(731\) −15.8501 2.79481i −0.586238 0.103370i
\(732\) −25.4405 6.72284i −0.940308 0.248483i
\(733\) −19.8194 + 34.3283i −0.732048 + 1.26794i 0.223959 + 0.974599i \(0.428102\pi\)
−0.956007 + 0.293345i \(0.905232\pi\)
\(734\) 14.9782 0.552854
\(735\) 41.0045 11.1388i 1.51247 0.410860i
\(736\) −10.0785 + 1.77711i −0.371498 + 0.0655052i
\(737\) −29.4173 24.6841i −1.08360 0.909249i
\(738\) −2.60832 + 1.52999i −0.0960137 + 0.0563198i
\(739\) 14.3907 + 5.23779i 0.529371 + 0.192675i 0.592857 0.805307i \(-0.298000\pi\)
−0.0634865 + 0.997983i \(0.520222\pi\)
\(740\) 1.14781 1.98806i 0.0421942 0.0730824i
\(741\) 7.81450 36.2957i 0.287073 1.33336i
\(742\) −2.78361 4.82136i −0.102190 0.176998i
\(743\) −5.33616 30.2629i −0.195765 1.11024i −0.911325 0.411687i \(-0.864940\pi\)
0.715561 0.698551i \(-0.246171\pi\)
\(744\) 1.10249 + 12.1201i 0.0404192 + 0.444344i
\(745\) −37.6066 + 13.6877i −1.37780 + 0.501478i
\(746\) −6.07121 7.23539i −0.222283 0.264906i
\(747\) −42.9582 15.3009i −1.57176 0.559830i
\(748\) −22.4896 + 38.9531i −0.822301 + 1.42427i
\(749\) 40.9911 1.49778
\(750\) −4.21969 4.19070i −0.154081 0.153023i
\(751\) 5.64578 6.72838i 0.206017 0.245522i −0.653135 0.757241i \(-0.726547\pi\)
0.859153 + 0.511719i \(0.170991\pi\)
\(752\) 13.6695 + 7.89211i 0.498476 + 0.287795i
\(753\) 4.24084 + 9.01325i 0.154545 + 0.328461i
\(754\) 1.79064 2.13400i 0.0652113 0.0777158i
\(755\) 28.4474 23.8702i 1.03531 0.868727i
\(756\) 30.3273 21.7063i 1.10299 0.789451i
\(757\) 7.86615 + 44.6111i 0.285900 + 1.62142i 0.702053 + 0.712125i \(0.252267\pi\)
−0.416153 + 0.909295i \(0.636622\pi\)
\(758\) 9.69246 + 11.5510i 0.352046 + 0.419552i
\(759\) −10.9348 7.60061i −0.396910 0.275885i
\(760\) 0.946936 + 20.4429i 0.0343490 + 0.741543i
\(761\) 36.3567 20.9906i 1.31793 0.760908i 0.334535 0.942383i \(-0.391421\pi\)
0.983395 + 0.181475i \(0.0580873\pi\)
\(762\) −1.40467 15.4421i −0.0508859 0.559409i
\(763\) −20.6844 + 56.8298i −0.748824 + 2.05738i
\(764\) −11.2939 + 13.4595i −0.408599 + 0.486949i
\(765\) −0.390648 56.6527i −0.0141239 2.04828i
\(766\) −0.797229 + 4.52131i −0.0288051 + 0.163362i
\(767\) −37.1749 + 21.4629i −1.34231 + 0.774981i
\(768\) 2.46903 1.16171i 0.0890933 0.0419195i
\(769\) 18.5593 + 15.5731i 0.669267 + 0.561581i 0.912848 0.408299i \(-0.133878\pi\)
−0.243582 + 0.969880i \(0.578322\pi\)
\(770\) −13.6616 11.4634i −0.492329 0.413113i
\(771\) 20.8769 9.82282i 0.7518