Properties

Label 216.2.v.b.11.22
Level $216$
Weight $2$
Character 216.11
Analytic conductor $1.725$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(32\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.22
Character \(\chi\) \(=\) 216.11
Dual form 216.2.v.b.59.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.821807 + 1.15093i) q^{2} +(1.73063 - 0.0701536i) q^{3} +(-0.649266 + 1.89168i) q^{4} +(0.426624 + 0.155279i) q^{5} +(1.50299 + 1.93418i) q^{6} +(-1.28150 - 0.225962i) q^{7} +(-2.71076 + 0.807339i) q^{8} +(2.99016 - 0.242820i) q^{9} +O(q^{10})\) \(q+(0.821807 + 1.15093i) q^{2} +(1.73063 - 0.0701536i) q^{3} +(-0.649266 + 1.89168i) q^{4} +(0.426624 + 0.155279i) q^{5} +(1.50299 + 1.93418i) q^{6} +(-1.28150 - 0.225962i) q^{7} +(-2.71076 + 0.807339i) q^{8} +(2.99016 - 0.242820i) q^{9} +(0.171889 + 0.618623i) q^{10} +(0.00602720 + 0.0165596i) q^{11} +(-0.990930 + 3.31935i) q^{12} +(-1.43581 - 1.71113i) q^{13} +(-0.793076 - 1.66060i) q^{14} +(0.749222 + 0.238801i) q^{15} +(-3.15691 - 2.45641i) q^{16} +(1.27216 - 0.734483i) q^{17} +(2.73680 + 3.24190i) q^{18} +(0.677841 - 1.17406i) q^{19} +(-0.570730 + 0.706220i) q^{20} +(-2.23365 - 0.301155i) q^{21} +(-0.0141057 + 0.0205456i) q^{22} +(-0.369486 - 2.09546i) q^{23} +(-4.63468 + 1.58737i) q^{24} +(-3.67233 - 3.08145i) q^{25} +(0.789428 - 3.05873i) q^{26} +(5.15782 - 0.630001i) q^{27} +(1.25948 - 2.27747i) q^{28} +(5.56933 + 4.67322i) q^{29} +(0.340874 + 1.05855i) q^{30} +(-8.87753 + 1.56535i) q^{31} +(0.232774 - 5.65206i) q^{32} +(0.0115926 + 0.0282357i) q^{33} +(1.89081 + 0.860562i) q^{34} +(-0.511630 - 0.295390i) q^{35} +(-1.48207 + 5.81408i) q^{36} +(4.58718 - 2.64841i) q^{37} +(1.90831 - 0.184701i) q^{38} +(-2.60490 - 2.86061i) q^{39} +(-1.28184 - 0.0764919i) q^{40} +(1.56527 + 1.86542i) q^{41} +(-1.48902 - 2.81825i) q^{42} +(-10.1956 + 3.71089i) q^{43} +(-0.0352387 + 0.000649957i) q^{44} +(1.31338 + 0.360715i) q^{45} +(2.10807 - 2.14731i) q^{46} +(0.791397 - 4.48824i) q^{47} +(-5.63576 - 4.02966i) q^{48} +(-4.98668 - 1.81500i) q^{49} +(0.528577 - 6.75893i) q^{50} +(2.15011 - 1.36036i) q^{51} +(4.16913 - 1.60511i) q^{52} +10.4085 q^{53} +(4.96382 + 5.41853i) q^{54} +0.00800062i q^{55} +(3.65625 - 0.422073i) q^{56} +(1.09073 - 2.07941i) q^{57} +(-0.801622 + 10.2504i) q^{58} +(-3.75319 + 10.3118i) q^{59} +(-0.938179 + 1.26224i) q^{60} +(8.87057 + 1.56412i) q^{61} +(-9.09722 - 8.93098i) q^{62} +(-3.88674 - 0.364490i) q^{63} +(6.69641 - 4.37700i) q^{64} +(-0.346849 - 0.952961i) q^{65} +(-0.0229704 + 0.0365465i) q^{66} +(3.70041 - 3.10502i) q^{67} +(0.563436 + 2.88340i) q^{68} +(-0.786447 - 3.60054i) q^{69} +(-0.0804893 - 0.831602i) q^{70} +(-5.03714 - 8.72458i) q^{71} +(-7.90955 + 3.07230i) q^{72} +(-0.339460 + 0.587962i) q^{73} +(6.81790 + 3.10303i) q^{74} +(-6.57161 - 5.07522i) q^{75} +(1.78084 + 2.04453i) q^{76} +(-0.00398198 - 0.0225829i) q^{77} +(1.15163 - 5.34891i) q^{78} +(-5.19665 + 6.19313i) q^{79} +(-0.965387 - 1.53816i) q^{80} +(8.88208 - 1.45214i) q^{81} +(-0.860607 + 3.33452i) q^{82} +(1.29122 - 1.53881i) q^{83} +(2.01992 - 4.02981i) q^{84} +(0.656785 - 0.115809i) q^{85} +(-12.6498 - 8.68475i) q^{86} +(9.96629 + 7.69691i) q^{87} +(-0.0297075 - 0.0400230i) q^{88} +(-0.103744 - 0.0598964i) q^{89} +(0.664188 + 1.80804i) q^{90} +(1.45333 + 2.51724i) q^{91} +(4.20383 + 0.661560i) q^{92} +(-15.2539 + 3.33183i) q^{93} +(5.81601 - 2.77762i) q^{94} +(0.471489 - 0.395626i) q^{95} +(0.00633320 - 9.79796i) q^{96} +(-10.4801 + 3.81446i) q^{97} +(-2.00915 - 7.23088i) q^{98} +(0.0220433 + 0.0480522i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 192q - 6q^{2} - 12q^{3} - 6q^{4} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 30q^{11} - 3q^{12} + 9q^{14} - 6q^{16} - 18q^{17} + 63q^{18} - 6q^{19} - 27q^{20} - 18q^{22} - 30q^{24} - 12q^{25} + 18q^{27} - 12q^{28} - 21q^{30} - 36q^{32} - 30q^{33} + 12q^{34} - 18q^{35} - 36q^{36} - 102q^{38} + 9q^{40} + 18q^{41} - 6q^{42} - 42q^{43} - 81q^{44} - 3q^{46} - 81q^{48} - 12q^{49} + 57q^{50} - 18q^{51} + 21q^{52} + 78q^{54} - 69q^{56} - 36q^{57} - 33q^{58} - 84q^{59} - 54q^{60} + 90q^{62} - 51q^{64} - 12q^{65} + 87q^{66} + 30q^{67} + 63q^{68} - 33q^{70} + 12q^{72} - 6q^{73} + 51q^{74} - 96q^{75} + 30q^{76} + 90q^{78} - 12q^{81} - 12q^{82} - 72q^{83} - 48q^{84} + 42q^{86} - 78q^{88} + 144q^{89} + 120q^{90} - 6q^{91} - 3q^{92} - 33q^{94} - 78q^{96} - 42q^{97} + 162q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.821807 + 1.15093i 0.581105 + 0.813828i
\(3\) 1.73063 0.0701536i 0.999179 0.0405032i
\(4\) −0.649266 + 1.89168i −0.324633 + 0.945840i
\(5\) 0.426624 + 0.155279i 0.190792 + 0.0694427i 0.435649 0.900116i \(-0.356519\pi\)
−0.244857 + 0.969559i \(0.578741\pi\)
\(6\) 1.50299 + 1.93418i 0.613591 + 0.789624i
\(7\) −1.28150 0.225962i −0.484360 0.0854057i −0.0738642 0.997268i \(-0.523533\pi\)
−0.410495 + 0.911863i \(0.634644\pi\)
\(8\) −2.71076 + 0.807339i −0.958397 + 0.285437i
\(9\) 2.99016 0.242820i 0.996719 0.0809399i
\(10\) 0.171889 + 0.618623i 0.0543560 + 0.195626i
\(11\) 0.00602720 + 0.0165596i 0.00181727 + 0.00499290i 0.940598 0.339522i \(-0.110265\pi\)
−0.938781 + 0.344515i \(0.888043\pi\)
\(12\) −0.990930 + 3.31935i −0.286057 + 0.958213i
\(13\) −1.43581 1.71113i −0.398222 0.474582i 0.529255 0.848463i \(-0.322471\pi\)
−0.927477 + 0.373881i \(0.878027\pi\)
\(14\) −0.793076 1.66060i −0.211959 0.443815i
\(15\) 0.749222 + 0.238801i 0.193448 + 0.0616580i
\(16\) −3.15691 2.45641i −0.789227 0.614102i
\(17\) 1.27216 0.734483i 0.308545 0.178138i −0.337730 0.941243i \(-0.609659\pi\)
0.646275 + 0.763105i \(0.276326\pi\)
\(18\) 2.73680 + 3.24190i 0.645070 + 0.764123i
\(19\) 0.677841 1.17406i 0.155507 0.269347i −0.777736 0.628591i \(-0.783632\pi\)
0.933244 + 0.359244i \(0.116965\pi\)
\(20\) −0.570730 + 0.706220i −0.127619 + 0.157916i
\(21\) −2.23365 0.301155i −0.487421 0.0657175i
\(22\) −0.0141057 + 0.0205456i −0.00300734 + 0.00438035i
\(23\) −0.369486 2.09546i −0.0770432 0.436933i −0.998792 0.0491452i \(-0.984350\pi\)
0.921748 0.387788i \(-0.126761\pi\)
\(24\) −4.63468 + 1.58737i −0.946050 + 0.324021i
\(25\) −3.67233 3.08145i −0.734465 0.616289i
\(26\) 0.789428 3.05873i 0.154820 0.599866i
\(27\) 5.15782 0.630001i 0.992623 0.121244i
\(28\) 1.25948 2.27747i 0.238019 0.430401i
\(29\) 5.56933 + 4.67322i 1.03420 + 0.867796i 0.991345 0.131286i \(-0.0419105\pi\)
0.0428540 + 0.999081i \(0.486355\pi\)
\(30\) 0.340874 + 1.05855i 0.0622349 + 0.193264i
\(31\) −8.87753 + 1.56535i −1.59445 + 0.281145i −0.899172 0.437595i \(-0.855830\pi\)
−0.695279 + 0.718740i \(0.744719\pi\)
\(32\) 0.232774 5.65206i 0.0411490 0.999153i
\(33\) 0.0115926 + 0.0282357i 0.00201801 + 0.00491520i
\(34\) 1.89081 + 0.860562i 0.324271 + 0.147585i
\(35\) −0.511630 0.295390i −0.0864813 0.0499300i
\(36\) −1.48207 + 5.81408i −0.247012 + 0.969013i
\(37\) 4.58718 2.64841i 0.754128 0.435396i −0.0730557 0.997328i \(-0.523275\pi\)
0.827183 + 0.561932i \(0.189942\pi\)
\(38\) 1.90831 0.184701i 0.309568 0.0299625i
\(39\) −2.60490 2.86061i −0.417117 0.458064i
\(40\) −1.28184 0.0764919i −0.202676 0.0120944i
\(41\) 1.56527 + 1.86542i 0.244454 + 0.291329i 0.874295 0.485395i \(-0.161324\pi\)
−0.629841 + 0.776724i \(0.716880\pi\)
\(42\) −1.48902 2.81825i −0.229761 0.434866i
\(43\) −10.1956 + 3.71089i −1.55481 + 0.565906i −0.969541 0.244930i \(-0.921235\pi\)
−0.585273 + 0.810836i \(0.699013\pi\)
\(44\) −0.0352387 0.000649957i −0.00531243 9.79847e-5i
\(45\) 1.31338 + 0.360715i 0.195787 + 0.0537722i
\(46\) 2.10807 2.14731i 0.310819 0.316604i
\(47\) 0.791397 4.48824i 0.115437 0.654676i −0.871096 0.491113i \(-0.836590\pi\)
0.986533 0.163563i \(-0.0522988\pi\)
\(48\) −5.63576 4.02966i −0.813452 0.581631i
\(49\) −4.98668 1.81500i −0.712382 0.259286i
\(50\) 0.528577 6.75893i 0.0747520 0.955858i
\(51\) 2.15011 1.36036i 0.301076 0.190489i
\(52\) 4.16913 1.60511i 0.578155 0.222589i
\(53\) 10.4085 1.42972 0.714860 0.699267i \(-0.246490\pi\)
0.714860 + 0.699267i \(0.246490\pi\)
\(54\) 4.96382 + 5.41853i 0.675490 + 0.737369i
\(55\) 0.00800062i 0.00107880i
\(56\) 3.65625 0.422073i 0.488587 0.0564018i
\(57\) 1.09073 2.07941i 0.144470 0.275424i
\(58\) −0.801622 + 10.2504i −0.105258 + 1.34594i
\(59\) −3.75319 + 10.3118i −0.488624 + 1.34248i 0.413302 + 0.910594i \(0.364375\pi\)
−0.901926 + 0.431890i \(0.857847\pi\)
\(60\) −0.938179 + 1.26224i −0.121118 + 0.162955i
\(61\) 8.87057 + 1.56412i 1.13576 + 0.200265i 0.709750 0.704453i \(-0.248808\pi\)
0.426010 + 0.904718i \(0.359919\pi\)
\(62\) −9.09722 8.93098i −1.15535 1.13424i
\(63\) −3.88674 0.364490i −0.489683 0.0459214i
\(64\) 6.69641 4.37700i 0.837051 0.547125i
\(65\) −0.346849 0.952961i −0.0430214 0.118200i
\(66\) −0.0229704 + 0.0365465i −0.00282745 + 0.00449856i
\(67\) 3.70041 3.10502i 0.452078 0.379338i −0.388129 0.921605i \(-0.626878\pi\)
0.840206 + 0.542267i \(0.182434\pi\)
\(68\) 0.563436 + 2.88340i 0.0683266 + 0.349663i
\(69\) −0.786447 3.60054i −0.0946771 0.433454i
\(70\) −0.0804893 0.831602i −0.00962031 0.0993955i
\(71\) −5.03714 8.72458i −0.597799 1.03542i −0.993145 0.116886i \(-0.962709\pi\)
0.395347 0.918532i \(-0.370624\pi\)
\(72\) −7.90955 + 3.07230i −0.932150 + 0.362074i
\(73\) −0.339460 + 0.587962i −0.0397308 + 0.0688158i −0.885207 0.465197i \(-0.845983\pi\)
0.845476 + 0.534013i \(0.179317\pi\)
\(74\) 6.81790 + 3.10303i 0.792565 + 0.360720i
\(75\) −6.57161 5.07522i −0.758824 0.586035i
\(76\) 1.78084 + 2.04453i 0.204276 + 0.234524i
\(77\) −0.00398198 0.0225829i −0.000453789 0.00257357i
\(78\) 1.15163 5.34891i 0.130396 0.605645i
\(79\) −5.19665 + 6.19313i −0.584669 + 0.696782i −0.974572 0.224074i \(-0.928064\pi\)
0.389903 + 0.920856i \(0.372509\pi\)
\(80\) −0.965387 1.53816i −0.107934 0.171972i
\(81\) 8.88208 1.45214i 0.986897 0.161349i
\(82\) −0.860607 + 3.33452i −0.0950382 + 0.368237i
\(83\) 1.29122 1.53881i 0.141729 0.168907i −0.690510 0.723323i \(-0.742614\pi\)
0.832240 + 0.554416i \(0.187058\pi\)
\(84\) 2.01992 4.02981i 0.220391 0.439689i
\(85\) 0.656785 0.115809i 0.0712383 0.0125612i
\(86\) −12.6498 8.68475i −1.36406 0.936501i
\(87\) 9.96629 + 7.69691i 1.06850 + 0.825195i
\(88\) −0.0297075 0.0400230i −0.00316683 0.00426647i
\(89\) −0.103744 0.0598964i −0.0109968 0.00634901i 0.494492 0.869182i \(-0.335354\pi\)
−0.505488 + 0.862833i \(0.668688\pi\)
\(90\) 0.664188 + 1.80804i 0.0700116 + 0.190584i
\(91\) 1.45333 + 2.51724i 0.152351 + 0.263879i
\(92\) 4.20383 + 0.661560i 0.438280 + 0.0689724i
\(93\) −15.2539 + 3.33183i −1.58176 + 0.345495i
\(94\) 5.81601 2.77762i 0.599875 0.286490i
\(95\) 0.471489 0.395626i 0.0483738 0.0405904i
\(96\) 0.00633320 9.79796i 0.000646380 1.00000i
\(97\) −10.4801 + 3.81446i −1.06410 + 0.387299i −0.813966 0.580913i \(-0.802696\pi\)
−0.250130 + 0.968212i \(0.580474\pi\)
\(98\) −2.00915 7.23088i −0.202955 0.730429i
\(99\) 0.0220433 + 0.0480522i 0.00221543 + 0.00482943i
\(100\) 8.21343 4.94619i 0.821343 0.494619i
\(101\) −2.89743 + 16.4321i −0.288305 + 1.63506i 0.404932 + 0.914347i \(0.367295\pi\)
−0.693237 + 0.720710i \(0.743816\pi\)
\(102\) 3.33266 + 1.35667i 0.329982 + 0.134330i
\(103\) −5.45676 + 14.9923i −0.537670 + 1.47724i 0.312082 + 0.950055i \(0.398974\pi\)
−0.849753 + 0.527182i \(0.823249\pi\)
\(104\) 5.27359 + 3.47927i 0.517118 + 0.341171i
\(105\) −0.906165 0.475318i −0.0884326 0.0463862i
\(106\) 8.55380 + 11.9794i 0.830818 + 1.16355i
\(107\) 6.73607i 0.651200i 0.945508 + 0.325600i \(0.105566\pi\)
−0.945508 + 0.325600i \(0.894434\pi\)
\(108\) −2.15703 + 10.1660i −0.207561 + 0.978222i
\(109\) 2.91699i 0.279397i 0.990194 + 0.139699i \(0.0446134\pi\)
−0.990194 + 0.139699i \(0.955387\pi\)
\(110\) −0.00920813 + 0.00657497i −0.000877961 + 0.000626898i
\(111\) 7.75291 4.90522i 0.735874 0.465583i
\(112\) 3.49051 + 3.86121i 0.329822 + 0.364850i
\(113\) −6.67148 + 18.3297i −0.627600 + 1.72432i 0.0599724 + 0.998200i \(0.480899\pi\)
−0.687572 + 0.726116i \(0.741323\pi\)
\(114\) 3.28961 0.453524i 0.308101 0.0424764i
\(115\) 0.167748 0.951347i 0.0156426 0.0887136i
\(116\) −12.4562 + 7.50123i −1.15653 + 0.696471i
\(117\) −4.70879 4.76791i −0.435328 0.440793i
\(118\) −14.9525 + 4.15467i −1.37649 + 0.382469i
\(119\) −1.79623 + 0.653776i −0.164661 + 0.0599315i
\(120\) −2.22375 0.0424537i −0.203000 0.00387548i
\(121\) 8.42625 7.07046i 0.766023 0.642769i
\(122\) 5.48971 + 11.4948i 0.497015 + 1.04069i
\(123\) 2.83977 + 3.11853i 0.256053 + 0.281189i
\(124\) 2.80274 17.8098i 0.251693 1.59937i
\(125\) −2.22323 3.85075i −0.198852 0.344422i
\(126\) −2.77465 4.77289i −0.247185 0.425203i
\(127\) 14.9938 + 8.65666i 1.33048 + 0.768154i 0.985373 0.170409i \(-0.0545088\pi\)
0.345108 + 0.938563i \(0.387842\pi\)
\(128\) 10.5408 + 4.11002i 0.931681 + 0.363278i
\(129\) −17.3845 + 7.13744i −1.53062 + 0.628417i
\(130\) 0.811745 1.18235i 0.0711947 0.103699i
\(131\) −3.03491 + 0.535137i −0.265162 + 0.0467552i −0.304648 0.952465i \(-0.598539\pi\)
0.0394865 + 0.999220i \(0.487428\pi\)
\(132\) −0.0609395 + 0.00359696i −0.00530410 + 0.000313075i
\(133\) −1.13394 + 1.35138i −0.0983252 + 0.117179i
\(134\) 6.61467 + 1.70718i 0.571421 + 0.147478i
\(135\) 2.29828 + 0.532125i 0.197804 + 0.0457980i
\(136\) −2.85554 + 3.01807i −0.244861 + 0.258797i
\(137\) 7.57425 9.02665i 0.647112 0.771198i −0.338363 0.941016i \(-0.609873\pi\)
0.985476 + 0.169817i \(0.0543177\pi\)
\(138\) 3.49765 3.86410i 0.297740 0.328934i
\(139\) −0.930383 5.27646i −0.0789140 0.447544i −0.998505 0.0546659i \(-0.982591\pi\)
0.919591 0.392878i \(-0.128520\pi\)
\(140\) 0.890967 0.776054i 0.0753005 0.0655885i
\(141\) 1.05475 7.82299i 0.0888259 0.658815i
\(142\) 5.90180 12.9673i 0.495268 1.08819i
\(143\) 0.0196817 0.0340897i 0.00164587 0.00285073i
\(144\) −10.0361 6.57848i −0.836343 0.548207i
\(145\) 1.65036 + 2.85851i 0.137055 + 0.237386i
\(146\) −0.955672 + 0.0924978i −0.0790920 + 0.00765517i
\(147\) −8.75742 2.79126i −0.722300 0.230219i
\(148\) 2.03165 + 10.3970i 0.167000 + 0.854628i
\(149\) −10.9918 + 9.22325i −0.900486 + 0.755598i −0.970285 0.241963i \(-0.922209\pi\)
0.0697991 + 0.997561i \(0.477764\pi\)
\(150\) 0.440607 11.7343i 0.0359754 0.958101i
\(151\) −4.06790 11.1765i −0.331041 0.909528i −0.987842 0.155464i \(-0.950313\pi\)
0.656800 0.754065i \(-0.271909\pi\)
\(152\) −0.889602 + 3.72983i −0.0721562 + 0.302529i
\(153\) 3.62562 2.50513i 0.293114 0.202527i
\(154\) 0.0227189 0.0231418i 0.00183074 0.00186482i
\(155\) −4.03044 0.710675i −0.323733 0.0570828i
\(156\) 7.10262 3.07034i 0.568665 0.245824i
\(157\) 5.75062 15.7997i 0.458950 1.26095i −0.467319 0.884089i \(-0.654780\pi\)
0.926268 0.376865i \(-0.122998\pi\)
\(158\) −11.3985 0.891409i −0.906815 0.0709167i
\(159\) 18.0133 0.730195i 1.42855 0.0579082i
\(160\) 0.976952 2.37516i 0.0772348 0.187773i
\(161\) 2.76881i 0.218213i
\(162\) 8.97066 + 9.02924i 0.704802 + 0.709404i
\(163\) 10.1776 0.797169 0.398585 0.917132i \(-0.369502\pi\)
0.398585 + 0.917132i \(0.369502\pi\)
\(164\) −4.54505 + 1.74984i −0.354909 + 0.136640i
\(165\) 0.000561272 0.0138461i 4.36950e−5 0.00107792i
\(166\) 2.83219 + 0.221489i 0.219821 + 0.0171909i
\(167\) 15.0723 + 5.48587i 1.16633 + 0.424509i 0.851355 0.524591i \(-0.175782\pi\)
0.314975 + 0.949100i \(0.398004\pi\)
\(168\) 6.29800 0.986950i 0.485902 0.0761449i
\(169\) 1.39101 7.88879i 0.107000 0.606830i
\(170\) 0.673038 + 0.660739i 0.0516197 + 0.0506764i
\(171\) 1.74177 3.67520i 0.133196 0.281050i
\(172\) −0.400173 21.6962i −0.0305129 1.65432i
\(173\) −12.7203 + 4.62982i −0.967109 + 0.351999i −0.776815 0.629729i \(-0.783166\pi\)
−0.190293 + 0.981727i \(0.560944\pi\)
\(174\) −0.668210 + 17.7958i −0.0506569 + 1.34910i
\(175\) 4.00978 + 4.77867i 0.303111 + 0.361233i
\(176\) 0.0216498 0.0670823i 0.00163191 0.00505652i
\(177\) −5.77198 + 18.1092i −0.433848 + 1.36117i
\(178\) −0.0163209 0.168625i −0.00122330 0.0126390i
\(179\) 9.84897 5.68630i 0.736146 0.425014i −0.0845201 0.996422i \(-0.526936\pi\)
0.820667 + 0.571407i \(0.193602\pi\)
\(180\) −1.53509 + 2.25029i −0.114419 + 0.167727i
\(181\) −12.8369 7.41138i −0.954159 0.550884i −0.0597883 0.998211i \(-0.519043\pi\)
−0.894370 + 0.447327i \(0.852376\pi\)
\(182\) −1.70281 + 3.74137i −0.126220 + 0.277329i
\(183\) 15.4614 + 2.08461i 1.14294 + 0.154099i
\(184\) 2.69333 + 5.38198i 0.198555 + 0.396765i
\(185\) 2.36824 0.417585i 0.174117 0.0307015i
\(186\) −16.3705 14.8180i −1.20034 1.08651i
\(187\) 0.0198303 + 0.0166396i 0.00145014 + 0.00121681i
\(188\) 7.97648 + 4.41113i 0.581745 + 0.321715i
\(189\) −6.75208 0.358129i −0.491141 0.0260500i
\(190\) 0.842810 + 0.217521i 0.0611439 + 0.0157806i
\(191\) −14.4389 12.1157i −1.04476 0.876659i −0.0522283 0.998635i \(-0.516632\pi\)
−0.992533 + 0.121976i \(0.961077\pi\)
\(192\) 11.2819 8.04474i 0.814204 0.580579i
\(193\) −0.366460 2.07830i −0.0263783 0.149599i 0.968774 0.247946i \(-0.0797556\pi\)
−0.995152 + 0.0983471i \(0.968644\pi\)
\(194\) −13.0028 8.92712i −0.933547 0.640930i
\(195\) −0.667121 1.62489i −0.0477735 0.116361i
\(196\) 6.67108 8.25478i 0.476506 0.589627i
\(197\) 5.72884 9.92264i 0.408163 0.706959i −0.586521 0.809934i \(-0.699503\pi\)
0.994684 + 0.102975i \(0.0328362\pi\)
\(198\) −0.0371893 + 0.0648599i −0.00264293 + 0.00460939i
\(199\) 4.92181 2.84161i 0.348898 0.201436i −0.315302 0.948991i \(-0.602106\pi\)
0.664200 + 0.747555i \(0.268772\pi\)
\(200\) 12.4426 + 5.38824i 0.879821 + 0.381006i
\(201\) 6.18622 5.63323i 0.436342 0.397337i
\(202\) −21.2933 + 10.1693i −1.49819 + 0.715510i
\(203\) −6.08110 7.24717i −0.426809 0.508652i
\(204\) 1.17738 + 4.95057i 0.0824331 + 0.346609i
\(205\) 0.378123 + 1.03889i 0.0264093 + 0.0725589i
\(206\) −21.7395 + 6.04047i −1.51466 + 0.420859i
\(207\) −1.61364 6.17603i −0.112156 0.429264i
\(208\) 0.329486 + 8.92881i 0.0228457 + 0.619102i
\(209\) 0.0235273 + 0.00414851i 0.00162742 + 0.000286958i
\(210\) −0.197637 1.43355i −0.0136382 0.0989243i
\(211\) 15.6412 + 5.69295i 1.07679 + 0.391919i 0.818711 0.574206i \(-0.194689\pi\)
0.258077 + 0.966124i \(0.416911\pi\)
\(212\) −6.75790 + 19.6896i −0.464134 + 1.35229i
\(213\) −9.32948 14.7456i −0.639246 1.01036i
\(214\) −7.75272 + 5.53575i −0.529965 + 0.378416i
\(215\) −4.92591 −0.335945
\(216\) −13.4730 + 5.87189i −0.916719 + 0.399531i
\(217\) 11.7302 0.796300
\(218\) −3.35725 + 2.39721i −0.227382 + 0.162359i
\(219\) −0.546232 + 1.04136i −0.0369109 + 0.0703685i
\(220\) −0.0151346 0.00519453i −0.00102038 0.000350215i
\(221\) −3.08338 1.12226i −0.207410 0.0754912i
\(222\) 12.0170 + 4.89189i 0.806525 + 0.328322i
\(223\) −2.73564 0.482367i −0.183192 0.0323017i 0.0812995 0.996690i \(-0.474093\pi\)
−0.264491 + 0.964388i \(0.585204\pi\)
\(224\) −1.57545 + 7.19049i −0.105264 + 0.480435i
\(225\) −11.7291 8.32230i −0.781938 0.554820i
\(226\) −26.5789 + 7.38512i −1.76800 + 0.491251i
\(227\) −8.45693 23.2352i −0.561306 1.54218i −0.817724 0.575611i \(-0.804764\pi\)
0.256418 0.966566i \(-0.417458\pi\)
\(228\) 3.22540 + 3.41340i 0.213607 + 0.226058i
\(229\) −10.0744 12.0062i −0.665736 0.793393i 0.322461 0.946583i \(-0.395490\pi\)
−0.988197 + 0.153190i \(0.951045\pi\)
\(230\) 1.23279 0.588758i 0.0812876 0.0388216i
\(231\) −0.00847561 0.0388034i −0.000557654 0.00255307i
\(232\) −18.8700 8.17163i −1.23887 0.536494i
\(233\) 17.5198 10.1151i 1.14776 0.662659i 0.199419 0.979914i \(-0.436094\pi\)
0.948340 + 0.317255i \(0.102761\pi\)
\(234\) 1.61779 9.33777i 0.105758 0.610429i
\(235\) 1.03456 1.79190i 0.0674870 0.116891i
\(236\) −17.0698 13.7949i −1.11115 0.897975i
\(237\) −8.55901 + 11.0826i −0.555968 + 0.719891i
\(238\) −2.22861 1.53006i −0.144459 0.0991789i
\(239\) 1.48780 + 8.43773i 0.0962378 + 0.545791i 0.994361 + 0.106048i \(0.0338196\pi\)
−0.898123 + 0.439744i \(0.855069\pi\)
\(240\) −1.77863 2.59427i −0.114810 0.167459i
\(241\) 11.0727 + 9.29110i 0.713255 + 0.598492i 0.925510 0.378722i \(-0.123636\pi\)
−0.212255 + 0.977214i \(0.568081\pi\)
\(242\) 15.0623 + 3.88744i 0.968244 + 0.249894i
\(243\) 15.2697 3.13622i 0.979552 0.201189i
\(244\) −8.71818 + 15.7648i −0.558124 + 1.00924i
\(245\) −1.84561 1.54865i −0.117912 0.0989395i
\(246\) −1.25546 + 5.83120i −0.0800455 + 0.371784i
\(247\) −2.98221 + 0.525844i −0.189754 + 0.0334587i
\(248\) 22.8011 11.4105i 1.44787 0.724565i
\(249\) 2.12666 2.75370i 0.134772 0.174508i
\(250\) 2.60486 5.72335i 0.164746 0.361977i
\(251\) 12.7128 + 7.33976i 0.802427 + 0.463281i 0.844319 0.535841i \(-0.180005\pi\)
−0.0418921 + 0.999122i \(0.513339\pi\)
\(252\) 3.21303 7.11582i 0.202402 0.448254i
\(253\) 0.0324730 0.0187483i 0.00204156 0.00117869i
\(254\) 2.35881 + 24.3708i 0.148005 + 1.52916i
\(255\) 1.12853 0.246498i 0.0706711 0.0154363i
\(256\) 3.93214 + 15.5093i 0.245759 + 0.969331i
\(257\) −14.4703 17.2450i −0.902633 1.07572i −0.996782 0.0801575i \(-0.974458\pi\)
0.0941497 0.995558i \(-0.469987\pi\)
\(258\) −22.5014 14.1427i −1.40087 0.880483i
\(259\) −6.47689 + 2.35739i −0.402454 + 0.146481i
\(260\) 2.02789 0.0374033i 0.125765 0.00231966i
\(261\) 17.7879 + 12.6213i 1.10104 + 0.781240i
\(262\) −3.11002 3.05318i −0.192138 0.188626i
\(263\) 3.07511 17.4398i 0.189620 1.07539i −0.730255 0.683175i \(-0.760599\pi\)
0.919875 0.392212i \(-0.128290\pi\)
\(264\) −0.0542204 0.0671809i −0.00333703 0.00413470i
\(265\) 4.44053 + 1.61622i 0.272780 + 0.0992836i
\(266\) −2.48722 0.194511i −0.152501 0.0119262i
\(267\) −0.183744 0.0963806i −0.0112449 0.00589839i
\(268\) 3.47115 + 9.01598i 0.212034 + 0.550739i
\(269\) 10.2475 0.624803 0.312402 0.949950i \(-0.398867\pi\)
0.312402 + 0.949950i \(0.398867\pi\)
\(270\) 1.27630 + 3.08245i 0.0776734 + 0.187592i
\(271\) 18.7315i 1.13786i −0.822386 0.568929i \(-0.807358\pi\)
0.822386 0.568929i \(-0.192642\pi\)
\(272\) −5.82029 0.806251i −0.352907 0.0488861i
\(273\) 2.69177 + 4.25446i 0.162913 + 0.257492i
\(274\) 16.6136 + 1.29925i 1.00366 + 0.0784906i
\(275\) 0.0288937 0.0793847i 0.00174235 0.00478708i
\(276\) 7.32169 + 0.850002i 0.440714 + 0.0511641i
\(277\) 21.4560 + 3.78327i 1.28917 + 0.227315i 0.775868 0.630895i \(-0.217312\pi\)
0.513299 + 0.858210i \(0.328423\pi\)
\(278\) 5.30823 5.40704i 0.318366 0.324293i
\(279\) −26.1651 + 6.83628i −1.56646 + 0.409277i
\(280\) 1.62538 + 0.387671i 0.0971353 + 0.0231678i
\(281\) −3.95262 10.8597i −0.235793 0.647837i −0.999996 0.00286067i \(-0.999089\pi\)
0.764203 0.644976i \(-0.223133\pi\)
\(282\) 9.87049 5.21505i 0.587779 0.310552i
\(283\) −3.28791 + 2.75888i −0.195446 + 0.163998i −0.735259 0.677786i \(-0.762939\pi\)
0.539813 + 0.841785i \(0.318495\pi\)
\(284\) 19.7746 3.86409i 1.17340 0.229291i
\(285\) 0.788218 0.717759i 0.0466900 0.0425164i
\(286\) 0.0554093 0.00536297i 0.00327642 0.000317119i
\(287\) −1.58437 2.74421i −0.0935226 0.161986i
\(288\) −0.676401 16.9571i −0.0398573 0.999205i
\(289\) −7.42107 + 12.8537i −0.436533 + 0.756098i
\(290\) −1.93366 + 4.24859i −0.113548 + 0.249486i
\(291\) −17.8696 + 7.33663i −1.04754 + 0.430081i
\(292\) −0.891837 1.02389i −0.0521908 0.0599189i
\(293\) −2.18285 12.3796i −0.127523 0.723221i −0.979777 0.200092i \(-0.935876\pi\)
0.852254 0.523129i \(-0.175235\pi\)
\(294\) −3.98437 12.3730i −0.232373 0.721610i
\(295\) −3.20241 + 3.81648i −0.186451 + 0.222204i
\(296\) −10.2966 + 10.8826i −0.598476 + 0.632538i
\(297\) 0.0415197 + 0.0816142i 0.00240922 + 0.00473574i
\(298\) −19.6485 5.07107i −1.13820 0.293759i
\(299\) −3.05509 + 3.64092i −0.176681 + 0.210560i
\(300\) 13.8674 9.13622i 0.800635 0.527480i
\(301\) 13.9041 2.45167i 0.801421 0.141312i
\(302\) 9.52027 13.8668i 0.547830 0.797943i
\(303\) −3.86160 + 28.6412i −0.221843 + 1.64539i
\(304\) −5.02384 + 2.04133i −0.288137 + 0.117078i
\(305\) 3.54153 + 2.04470i 0.202787 + 0.117079i
\(306\) 5.86277 + 2.11409i 0.335153 + 0.120854i
\(307\) 7.46768 + 12.9344i 0.426203 + 0.738205i 0.996532 0.0832113i \(-0.0265176\pi\)
−0.570329 + 0.821416i \(0.693184\pi\)
\(308\) 0.0453051 + 0.00712969i 0.00258150 + 0.000406252i
\(309\) −8.39186 + 26.3290i −0.477396 + 1.49780i
\(310\) −2.49431 5.22278i −0.141667 0.296634i
\(311\) 0.935160 0.784692i 0.0530280 0.0444958i −0.615888 0.787833i \(-0.711203\pi\)
0.668916 + 0.743338i \(0.266758\pi\)
\(312\) 9.37072 + 5.65137i 0.530512 + 0.319946i
\(313\) −3.74180 + 1.36190i −0.211499 + 0.0769794i −0.445597 0.895234i \(-0.647009\pi\)
0.234098 + 0.972213i \(0.424786\pi\)
\(314\) 22.9102 6.36576i 1.29290 0.359241i
\(315\) −1.60158 0.759028i −0.0902389 0.0427664i
\(316\) −8.34141 13.8514i −0.469241 0.779202i
\(317\) −1.28552 + 7.29053i −0.0722018 + 0.409477i 0.927190 + 0.374593i \(0.122217\pi\)
−0.999391 + 0.0348844i \(0.988894\pi\)
\(318\) 15.6439 + 20.1319i 0.877264 + 1.12894i
\(319\) −0.0438192 + 0.120392i −0.00245340 + 0.00674067i
\(320\) 3.53651 0.827527i 0.197697 0.0462601i
\(321\) 0.472559 + 11.6576i 0.0263757 + 0.650666i
\(322\) −3.18670 + 2.27543i −0.177588 + 0.126805i
\(323\) 1.99145i 0.110807i
\(324\) −3.01985 + 17.7449i −0.167769 + 0.985826i
\(325\) 10.7082i 0.593984i
\(326\) 8.36400 + 11.7136i 0.463239 + 0.648759i
\(327\) 0.204638 + 5.04824i 0.0113165 + 0.279168i
\(328\) −5.74909 3.79299i −0.317440 0.209433i
\(329\) −2.02834 + 5.57283i −0.111826 + 0.307240i
\(330\) −0.0154746 + 0.0120248i −0.000851849 + 0.000661944i
\(331\) 0.520452 2.95163i 0.0286066 0.162236i −0.967158 0.254176i \(-0.918196\pi\)
0.995765 + 0.0919400i \(0.0293068\pi\)
\(332\) 2.07260 + 3.44167i 0.113749 + 0.188886i
\(333\) 13.0733 9.03302i 0.716412 0.495006i
\(334\) 6.07269 + 21.8554i 0.332283 + 1.19588i
\(335\) 2.06083 0.750081i 0.112595 0.0409813i
\(336\) 6.31165 + 6.43746i 0.344329 + 0.351192i
\(337\) −10.0788 + 8.45709i −0.549025 + 0.460687i −0.874611 0.484826i \(-0.838883\pi\)
0.325586 + 0.945513i \(0.394439\pi\)
\(338\) 10.2226 4.88212i 0.556034 0.265552i
\(339\) −10.2600 + 32.1900i −0.557244 + 1.74832i
\(340\) −0.207355 + 1.31762i −0.0112454 + 0.0714579i
\(341\) −0.0794281 0.137574i −0.00430127 0.00745003i
\(342\) 5.66129 1.01566i 0.306127 0.0549206i
\(343\) 13.8688 + 8.00714i 0.748844 + 0.432345i
\(344\) 24.6418 18.2906i 1.32860 0.986165i
\(345\) 0.223570 1.65820i 0.0120366 0.0892744i
\(346\) −15.7822 10.8353i −0.848459 0.582512i
\(347\) 28.8369 5.08472i 1.54804 0.272962i 0.666660 0.745362i \(-0.267723\pi\)
0.881385 + 0.472400i \(0.156612\pi\)
\(348\) −21.0309 + 13.8557i −1.12737 + 0.742743i
\(349\) −13.4766 + 16.0608i −0.721385 + 0.859713i −0.994765 0.102193i \(-0.967414\pi\)
0.273380 + 0.961906i \(0.411859\pi\)
\(350\) −2.20463 + 8.54210i −0.117843 + 0.456595i
\(351\) −8.48366 7.92114i −0.452824 0.422799i
\(352\) 0.0949988 0.0302114i 0.00506345 0.00161028i
\(353\) 2.02760 2.41640i 0.107918 0.128612i −0.709381 0.704825i \(-0.751026\pi\)
0.817300 + 0.576213i \(0.195470\pi\)
\(354\) −25.5858 + 8.23917i −1.35987 + 0.437907i
\(355\) −0.794226 4.50428i −0.0421532 0.239062i
\(356\) 0.180662 0.157361i 0.00957507 0.00834013i
\(357\) −3.06275 + 1.25746i −0.162098 + 0.0665516i
\(358\) 14.6385 + 6.66240i 0.773667 + 0.352119i
\(359\) −15.2950 + 26.4917i −0.807240 + 1.39818i 0.107529 + 0.994202i \(0.465706\pi\)
−0.914768 + 0.403979i \(0.867627\pi\)
\(360\) −3.85147 + 0.0825326i −0.202990 + 0.00434985i
\(361\) 8.58106 + 14.8628i 0.451635 + 0.782255i
\(362\) −2.01949 20.8651i −0.106142 1.09664i
\(363\) 14.0867 12.8275i 0.739360 0.673268i
\(364\) −5.70542 + 1.11488i −0.299045 + 0.0584355i
\(365\) −0.236120 + 0.198128i −0.0123591 + 0.0103705i
\(366\) 10.3071 + 19.5081i 0.538758 + 1.01970i
\(367\) −7.65245 21.0249i −0.399455 1.09749i −0.962551 0.271101i \(-0.912612\pi\)
0.563096 0.826391i \(-0.309610\pi\)
\(368\) −3.98087 + 7.52278i −0.207517 + 0.392152i
\(369\) 5.13336 + 5.19781i 0.267232 + 0.270587i
\(370\) 2.42685 + 2.38250i 0.126166 + 0.123860i
\(371\) −13.3385 2.35193i −0.692499 0.122106i
\(372\) 3.60108 31.0188i 0.186707 1.60825i
\(373\) 3.91132 10.7463i 0.202521 0.556421i −0.796304 0.604897i \(-0.793214\pi\)
0.998824 + 0.0484764i \(0.0154366\pi\)
\(374\) −0.00285428 + 0.0364978i −0.000147591 + 0.00188725i
\(375\) −4.11773 6.50825i −0.212639 0.336085i
\(376\) 1.47824 + 12.8054i 0.0762346 + 0.660390i
\(377\) 16.2397i 0.836387i
\(378\) −5.13673 8.06546i −0.264205 0.414843i
\(379\) −21.7004 −1.11468 −0.557338 0.830286i \(-0.688177\pi\)
−0.557338 + 0.830286i \(0.688177\pi\)
\(380\) 0.442277 + 1.14877i 0.0226883 + 0.0589308i
\(381\) 26.5560 + 13.9296i 1.36050 + 0.713635i
\(382\) 2.07826 26.5748i 0.106333 1.35969i
\(383\) 31.1726 + 11.3459i 1.59285 + 0.579749i 0.977946 0.208856i \(-0.0669740\pi\)
0.614900 + 0.788605i \(0.289196\pi\)
\(384\) 18.5305 + 6.37346i 0.945630 + 0.325244i
\(385\) 0.00180784 0.0102528i 9.21359e−5 0.000522529i
\(386\) 2.09081 2.12973i 0.106419 0.108400i
\(387\) −29.5854 + 13.5718i −1.50391 + 0.689896i
\(388\) −0.411341 22.3017i −0.0208827 1.13220i
\(389\) 6.54404 2.38183i 0.331796 0.120764i −0.170750 0.985314i \(-0.554619\pi\)
0.502546 + 0.864551i \(0.332397\pi\)
\(390\) 1.32188 2.10315i 0.0669362 0.106497i
\(391\) −2.00913 2.39438i −0.101606 0.121089i
\(392\) 14.9830 + 0.894090i 0.756755 + 0.0451584i
\(393\) −5.21477 + 1.13903i −0.263050 + 0.0574567i
\(394\) 16.1282 1.56102i 0.812529 0.0786432i
\(395\) −3.17868 + 1.83521i −0.159937 + 0.0923395i
\(396\) −0.105211 + 0.0105001i −0.00528707 + 0.000527651i
\(397\) −31.8597 18.3942i −1.59899 0.923178i −0.991682 0.128712i \(-0.958916\pi\)
−0.607308 0.794466i \(-0.707751\pi\)
\(398\) 7.31526 + 3.32939i 0.366681 + 0.166887i
\(399\) −1.86763 + 2.41829i −0.0934984 + 0.121066i
\(400\) 4.02391 + 18.7486i 0.201195 + 0.937428i
\(401\) 3.00611 0.530059i 0.150118 0.0264699i −0.0980840 0.995178i \(-0.531271\pi\)
0.248202 + 0.968708i \(0.420160\pi\)
\(402\) 11.5673 + 2.49046i 0.576925 + 0.124213i
\(403\) 15.4250 + 12.9431i 0.768372 + 0.644740i
\(404\) −29.2031 16.1498i −1.45291 0.803483i
\(405\) 4.01480 + 0.759679i 0.199497 + 0.0377487i
\(406\) 3.34347 12.9547i 0.165934 0.642930i
\(407\) 0.0715044 + 0.0599993i 0.00354434 + 0.00297406i
\(408\) −4.73016 + 5.42349i −0.234178 + 0.268503i
\(409\) −4.18256 23.7205i −0.206814 1.17290i −0.894559 0.446949i \(-0.852511\pi\)
0.687745 0.725952i \(-0.258601\pi\)
\(410\) −0.884936 + 1.28896i −0.0437039 + 0.0636570i
\(411\) 12.4750 16.1531i 0.615345 0.796776i
\(412\) −24.8178 20.0564i −1.22268 0.988110i
\(413\) 7.13978 12.3665i 0.351326 0.608514i
\(414\) 5.78206 6.93269i 0.284173 0.340723i
\(415\) 0.789809 0.455997i 0.0387702 0.0223840i
\(416\) −10.0056 + 7.71698i −0.490567 + 0.378356i
\(417\) −1.98031 9.06633i −0.0969762 0.443980i
\(418\) 0.0145603 + 0.0304875i 0.000712168 + 0.00149119i
\(419\) −19.0854 22.7451i −0.932383 1.11117i −0.993590 0.113046i \(-0.963939\pi\)
0.0612068 0.998125i \(-0.480505\pi\)
\(420\) 1.48749 1.40557i 0.0725821 0.0685846i
\(421\) 9.82045 + 26.9815i 0.478619 + 1.31500i 0.910666 + 0.413144i \(0.135570\pi\)
−0.432046 + 0.901851i \(0.642208\pi\)
\(422\) 6.30192 + 22.6804i 0.306773 + 1.10407i
\(423\) 1.27657 13.6127i 0.0620689 0.661872i
\(424\) −28.2150 + 8.40321i −1.37024 + 0.408096i
\(425\) −6.93506 1.22284i −0.336400 0.0593164i
\(426\) 9.30413 22.8556i 0.450786 1.10736i
\(427\) −11.0142 4.00883i −0.533013 0.194001i
\(428\) −12.7425 4.37350i −0.615931 0.211401i
\(429\) 0.0316702 0.0603774i 0.00152905 0.00291505i
\(430\) −4.04815 5.66937i −0.195219 0.273401i
\(431\) −26.5585 −1.27928 −0.639639 0.768675i \(-0.720916\pi\)
−0.639639 + 0.768675i \(0.720916\pi\)
\(432\) −17.8303 10.6808i −0.857861 0.513882i
\(433\) −1.55270 −0.0746180 −0.0373090 0.999304i \(-0.511879\pi\)
−0.0373090 + 0.999304i \(0.511879\pi\)
\(434\) 9.63998 + 13.5006i 0.462734 + 0.648051i
\(435\) 3.05670 + 4.83124i 0.146557 + 0.231640i
\(436\) −5.51802 1.89390i −0.264265 0.0907016i
\(437\) −2.71064 0.986591i −0.129667 0.0471951i
\(438\) −1.64743 + 0.227123i −0.0787170 + 0.0108524i
\(439\) 1.13120 + 0.199460i 0.0539891 + 0.00951973i 0.200577 0.979678i \(-0.435718\pi\)
−0.146588 + 0.989198i \(0.546829\pi\)
\(440\) −0.00645921 0.0216877i −0.000307931 0.00103392i
\(441\) −15.3517 4.21628i −0.731032 0.200775i
\(442\) −1.24231 4.47102i −0.0590904 0.212665i
\(443\) 5.79518 + 15.9221i 0.275337 + 0.756483i 0.997875 + 0.0651518i \(0.0207532\pi\)
−0.722538 + 0.691331i \(0.757025\pi\)
\(444\) 4.24541 + 17.8508i 0.201478 + 0.847163i
\(445\) −0.0349590 0.0416625i −0.00165721 0.00197499i
\(446\) −1.69300 3.54493i −0.0801658 0.167857i
\(447\) −18.3758 + 16.7331i −0.869143 + 0.791450i
\(448\) −9.57045 + 4.09597i −0.452161 + 0.193516i
\(449\) −26.5725 + 15.3416i −1.25403 + 0.724017i −0.971908 0.235361i \(-0.924373\pi\)
−0.282126 + 0.959377i \(0.591039\pi\)
\(450\) −0.0606753 20.3386i −0.00286026 0.958772i
\(451\) −0.0214563 + 0.0371634i −0.00101034 + 0.00174996i
\(452\) −30.3424 24.5212i −1.42719 1.15338i
\(453\) −7.82410 19.0570i −0.367608 0.895374i
\(454\) 19.7921 28.8282i 0.928889 1.35297i
\(455\) 0.229153 + 1.29959i 0.0107428 + 0.0609257i
\(456\) −1.27791 + 6.51735i −0.0598436 + 0.305203i
\(457\) 5.48725 + 4.60435i 0.256683 + 0.215382i 0.762044 0.647526i \(-0.224196\pi\)
−0.505361 + 0.862908i \(0.668641\pi\)
\(458\) 5.53905 21.4617i 0.258823 1.00284i
\(459\) 6.09886 4.58979i 0.284670 0.214233i
\(460\) 1.69073 + 0.935003i 0.0788308 + 0.0435948i
\(461\) 6.34887 + 5.32733i 0.295696 + 0.248119i 0.778550 0.627582i \(-0.215955\pi\)
−0.482854 + 0.875701i \(0.660400\pi\)
\(462\) 0.0376945 0.0416437i 0.00175371 0.00193744i
\(463\) 0.381159 0.0672086i 0.0177140 0.00312345i −0.164784 0.986330i \(-0.552693\pi\)
0.182498 + 0.983206i \(0.441582\pi\)
\(464\) −6.10253 28.4335i −0.283303 1.31999i
\(465\) −7.02505 0.947165i −0.325779 0.0439237i
\(466\) 26.0396 + 11.8514i 1.20626 + 0.549004i
\(467\) −5.76908 3.33078i −0.266961 0.154130i 0.360545 0.932742i \(-0.382591\pi\)
−0.627506 + 0.778612i \(0.715924\pi\)
\(468\) 12.0766 5.81189i 0.558241 0.268655i
\(469\) −5.44368 + 3.14291i −0.251366 + 0.145126i
\(470\) 2.91256 0.281901i 0.134346 0.0130031i
\(471\) 8.84379 27.7469i 0.407500 1.27851i
\(472\) 1.84886 30.9829i 0.0851009 1.42610i
\(473\) −0.122902 0.146469i −0.00565103 0.00673463i
\(474\) −19.7891 0.743054i −0.908943 0.0341296i
\(475\) −6.10704 + 2.22278i −0.280210 + 0.101988i
\(476\) −0.0705015 3.82238i −0.00323143 0.175198i
\(477\) 31.1231 2.52739i 1.42503 0.115721i
\(478\) −8.48853 + 8.64654i −0.388256 + 0.395483i
\(479\) −0.196814 + 1.11619i −0.00899268 + 0.0510000i −0.988974 0.148090i \(-0.952687\pi\)
0.979981 + 0.199090i \(0.0637986\pi\)
\(480\) 1.52412 4.17906i 0.0695660 0.190747i
\(481\) −11.1181 4.04665i −0.506941 0.184511i
\(482\) −1.59375 + 20.3794i −0.0725934 + 0.928255i
\(483\) 0.194242 + 4.79179i 0.00883832 + 0.218034i
\(484\) 7.90418 + 20.5304i 0.359281 + 0.933199i
\(485\) −5.06338 −0.229916
\(486\) 16.1583 + 14.9970i 0.732956 + 0.680276i
\(487\) 41.9634i 1.90154i −0.309896 0.950771i \(-0.600294\pi\)
0.309896 0.950771i \(-0.399706\pi\)
\(488\) −25.3087 + 2.92161i −1.14567 + 0.132255i
\(489\) 17.6136 0.713993i 0.796515 0.0322879i
\(490\) 0.265648 3.39685i 0.0120007 0.153454i
\(491\) −7.04382 + 19.3527i −0.317883 + 0.873377i 0.673119 + 0.739534i \(0.264954\pi\)
−0.991003 + 0.133843i \(0.957268\pi\)
\(492\) −7.74303 + 3.34718i −0.349083 + 0.150902i
\(493\) 10.5175 + 1.85452i 0.473684 + 0.0835233i
\(494\) −3.05601 3.00016i −0.137496 0.134984i
\(495\) 0.00194271 + 0.0239231i 8.73182e−5 + 0.00107526i
\(496\) 31.8707 + 16.8652i 1.43104 + 0.757268i
\(497\) 4.48365 + 12.3187i 0.201119 + 0.552570i
\(498\) 4.91701 + 0.184627i 0.220337 + 0.00827334i
\(499\) 7.68110 6.44521i 0.343853 0.288527i −0.454463 0.890766i \(-0.650169\pi\)
0.798316 + 0.602239i \(0.205724\pi\)
\(500\) 8.72786 1.70548i 0.390322 0.0762715i
\(501\) 26.4694 + 8.43663i 1.18257 + 0.376921i
\(502\) 1.99997 + 20.6634i 0.0892632 + 0.922253i
\(503\) 12.3849 + 21.4513i 0.552216 + 0.956466i 0.998114 + 0.0613824i \(0.0195509\pi\)
−0.445898 + 0.895084i \(0.647116\pi\)
\(504\) 10.8303 2.14987i 0.482419 0.0957630i
\(505\) −3.78767 + 6.56044i −0.168549 + 0.291936i
\(506\) 0.0482644 + 0.0219665i 0.00214562 + 0.000976532i
\(507\) 1.85389 13.7502i 0.0823341 0.610666i
\(508\) −26.1106 + 22.7429i −1.15847 + 1.00906i
\(509\) −5.29018 30.0021i −0.234483 1.32982i −0.843700 0.536816i \(-0.819627\pi\)
0.609217 0.793004i \(-0.291484\pi\)
\(510\) 1.21113 + 1.09628i 0.0536299 + 0.0485440i
\(511\) 0.567874 0.676766i 0.0251213 0.0299383i
\(512\) −14.6186 + 17.2713i −0.646057 + 0.763289i
\(513\) 2.75653 6.48260i 0.121704 0.286214i
\(514\) 7.95597 30.8264i 0.350923 1.35969i
\(515\) −4.65597 + 5.54877i −0.205167 + 0.244508i
\(516\) −2.21462 37.5200i −0.0974930 1.65172i
\(517\) 0.0790932 0.0139463i 0.00347852 0.000613356i
\(518\) −8.03594 5.51710i −0.353079 0.242408i
\(519\) −21.6894 + 8.90488i −0.952058 + 0.390881i
\(520\) 1.70959 + 2.30322i 0.0749703 + 0.101003i
\(521\) −2.67309 1.54331i −0.117110 0.0676136i 0.440301 0.897850i \(-0.354872\pi\)
−0.557411 + 0.830237i \(0.688205\pi\)
\(522\) 0.0920181 + 30.8449i 0.00402752 + 1.35004i
\(523\) −6.24198 10.8114i −0.272943 0.472750i 0.696671 0.717390i \(-0.254664\pi\)
−0.969614 + 0.244640i \(0.921330\pi\)
\(524\) 0.958157 6.08853i 0.0418573 0.265979i
\(525\) 7.27468 + 7.98880i 0.317493 + 0.348660i
\(526\) 22.5991 10.7930i 0.985369 0.470595i
\(527\) −10.1439 + 8.51177i −0.441877 + 0.370779i
\(528\) 0.0327617 0.117613i 0.00142577 0.00511847i
\(529\) 17.3585 6.31798i 0.754717 0.274695i
\(530\) 1.78911 + 6.43895i 0.0777139 + 0.279690i
\(531\) −8.71872 + 31.7453i −0.378360 + 1.37763i
\(532\) −1.82015 3.02246i −0.0789134 0.131040i
\(533\) 0.944542 5.35676i 0.0409126 0.232027i
\(534\) −0.0400750 0.290682i −0.00173422 0.0125790i
\(535\) −1.04597 + 2.87377i −0.0452211 + 0.124244i
\(536\) −7.52412 + 11.4044i −0.324993 + 0.492596i
\(537\) 16.6460 10.5318i 0.718328 0.454482i
\(538\) 8.42150 + 11.7942i 0.363076 + 0.508482i
\(539\) 0.0935167i 0.00402805i
\(540\) −2.49880 + 4.00212i −0.107531 + 0.172224i
\(541\) 35.0866i 1.50849i 0.656592 + 0.754246i \(0.271997\pi\)
−0.656592 + 0.754246i \(0.728003\pi\)
\(542\) 21.5586 15.3937i 0.926021 0.661216i
\(543\) −22.7358 11.9258i −0.975688 0.511785i
\(544\) −3.85522 7.36131i −0.165291 0.315613i
\(545\) −0.452947 + 1.24446i −0.0194021 + 0.0533069i
\(546\) −2.68446 + 6.59438i −0.114884 + 0.282213i
\(547\) −0.423952 + 2.40435i −0.0181269 + 0.102803i −0.992529 0.122010i \(-0.961066\pi\)
0.974402 + 0.224813i \(0.0721771\pi\)
\(548\) 12.1578 + 20.1888i 0.519356 + 0.862421i
\(549\) 26.9042 + 2.52302i 1.14824 + 0.107680i
\(550\) 0.115111 0.0319844i 0.00490835 0.00136382i
\(551\) 9.26174 3.37100i 0.394563 0.143609i
\(552\) 5.03873 + 9.12527i 0.214462 + 0.388397i
\(553\) 8.05890 6.76222i 0.342699 0.287559i
\(554\) 13.2784 + 27.8034i 0.564147 + 1.18125i
\(555\) 4.06926 0.888826i 0.172730 0.0377286i
\(556\) 10.5854 + 1.66584i 0.448923 + 0.0706473i
\(557\) 3.41195 + 5.90968i 0.144569 + 0.250401i 0.929212 0.369547i \(-0.120487\pi\)
−0.784643 + 0.619948i \(0.787154\pi\)
\(558\) −29.3707 24.4960i −1.24336 1.03700i
\(559\) 20.9888 + 12.1179i 0.887730 + 0.512531i
\(560\) 0.889572 + 2.18929i 0.0375913 + 0.0925144i
\(561\) 0.0354862 + 0.0274058i 0.00149823 + 0.00115707i
\(562\) 9.25046 13.4738i 0.390207 0.568357i
\(563\) 20.6520 3.64150i 0.870377 0.153471i 0.279415 0.960170i \(-0.409859\pi\)
0.590962 + 0.806699i \(0.298748\pi\)
\(564\) 14.1138 + 7.07445i 0.594298 + 0.297888i
\(565\) −5.69243 + 6.78397i −0.239482 + 0.285404i
\(566\) −5.87730 1.51687i −0.247041 0.0637589i
\(567\) −11.7105 0.146105i −0.491793 0.00613585i
\(568\) 20.6982 + 19.5835i 0.868476 + 0.821707i
\(569\) −20.8313 + 24.8258i −0.873295 + 1.04075i 0.125521 + 0.992091i \(0.459940\pi\)
−0.998815 + 0.0486610i \(0.984505\pi\)
\(570\) 1.47385 + 0.317322i 0.0617329 + 0.0132912i
\(571\) −0.396543 2.24891i −0.0165948 0.0941139i 0.975385 0.220507i \(-0.0707711\pi\)
−0.991980 + 0.126393i \(0.959660\pi\)
\(572\) 0.0517082 + 0.0593648i 0.00216203 + 0.00248217i
\(573\) −25.8383 19.9548i −1.07941 0.833623i
\(574\) 1.85634 4.07871i 0.0774822 0.170242i
\(575\) −5.10017 + 8.83376i −0.212692 + 0.368393i
\(576\) 18.9605 14.7139i 0.790020 0.613081i
\(577\) −10.7395 18.6014i −0.447092 0.774387i 0.551103 0.834437i \(-0.314207\pi\)
−0.998195 + 0.0600507i \(0.980874\pi\)
\(578\) −20.8923 + 2.02213i −0.869006 + 0.0841095i
\(579\) −0.780006 3.57105i −0.0324159 0.148408i
\(580\) −6.47891 + 1.26602i −0.269022 + 0.0525688i
\(581\) −2.00240 + 1.68021i −0.0830736 + 0.0697070i
\(582\) −23.1293 14.5373i −0.958741 0.602592i
\(583\) 0.0627342 + 0.172361i 0.00259818 + 0.00713845i
\(584\) 0.445509 1.86788i 0.0184353 0.0772935i
\(585\) −1.26853 2.76528i −0.0524473 0.114330i
\(586\) 12.4541 12.6859i 0.514473 0.524050i
\(587\) 18.6609 + 3.29041i 0.770216 + 0.135810i 0.544928 0.838483i \(-0.316557\pi\)
0.225287 + 0.974292i \(0.427668\pi\)
\(588\) 10.9661 14.7540i 0.452233 0.608443i
\(589\) −4.17975 + 11.4838i −0.172224 + 0.473180i
\(590\) −7.02425 0.549326i −0.289184 0.0226154i
\(591\) 9.21839 17.5743i 0.379194 0.722911i
\(592\) −20.9869 2.90719i −0.862555 0.119485i
\(593\) 23.6650i 0.971804i 0.874013 + 0.485902i \(0.161509\pi\)
−0.874013 + 0.485902i \(0.838491\pi\)
\(594\) −0.0598108 + 0.114857i −0.00245407 + 0.00471265i
\(595\) −0.867835 −0.0355778
\(596\) −10.3108 26.7814i −0.422347 1.09701i
\(597\) 8.31848 5.26305i 0.340453 0.215402i
\(598\) −6.70113 0.524056i −0.274029 0.0214302i
\(599\) 8.37844 + 3.04950i 0.342334 + 0.124599i 0.507465 0.861672i \(-0.330583\pi\)
−0.165131 + 0.986272i \(0.552805\pi\)
\(600\) 21.9115 + 8.45216i 0.894531 + 0.345058i
\(601\) 4.44934 25.2334i 0.181492 1.02929i −0.748888 0.662697i \(-0.769412\pi\)
0.930380 0.366597i \(-0.119477\pi\)
\(602\) 14.2482 + 13.9878i 0.580714 + 0.570102i
\(603\) 10.3109 10.1830i 0.419891 0.414685i
\(604\) 23.7835 0.438672i 0.967735 0.0178493i
\(605\) 4.69274 1.70802i 0.190787 0.0694407i
\(606\) −36.1374 + 19.0931i −1.46798 + 0.775604i
\(607\) 8.91382 + 10.6231i 0.361801 + 0.431177i 0.915982 0.401218i \(-0.131413\pi\)
−0.554182 + 0.832396i \(0.686969\pi\)
\(608\) −6.47805 4.10449i −0.262720 0.166459i
\(609\) −11.0325 12.1156i −0.447061 0.490947i
\(610\) 0.557151 + 5.75639i 0.0225584 + 0.233070i
\(611\) −8.81625 + 5.09007i −0.356667 + 0.205922i
\(612\) 2.38491 + 8.48500i 0.0964042 + 0.342986i
\(613\) −17.7329 10.2381i −0.716224 0.413512i 0.0971374 0.995271i \(-0.469031\pi\)
−0.813361 + 0.581759i \(0.802365\pi\)
\(614\) −8.74955 + 19.2243i −0.353103 + 0.775831i
\(615\) 0.727273 + 1.77140i 0.0293265 + 0.0714297i
\(616\) 0.0290263 + 0.0580021i 0.00116950 + 0.00233697i
\(617\) 45.9610 8.10416i 1.85032 0.326261i 0.865644 0.500660i \(-0.166909\pi\)
0.984675 + 0.174399i \(0.0557983\pi\)
\(618\) −37.1992 + 11.9789i −1.49637 + 0.481862i
\(619\) −20.3900 17.1092i −0.819542 0.687678i 0.133323 0.991073i \(-0.457435\pi\)
−0.952865 + 0.303395i \(0.901880\pi\)
\(620\) 3.96119 7.16288i 0.159085 0.287668i
\(621\) −3.22588 10.5752i −0.129450 0.424369i
\(622\) 1.67164 + 0.431435i 0.0670268 + 0.0172990i
\(623\) 0.119413 + 0.100199i 0.00478417 + 0.00401439i
\(624\) 1.19661 + 15.4294i 0.0479026 + 0.617668i
\(625\) 3.81170 + 21.6172i 0.152468 + 0.864688i
\(626\) −4.64249 3.18732i −0.185551 0.127391i
\(627\) 0.0410081 + 0.00552900i 0.00163771 + 0.000220807i
\(628\) 26.1543 + 21.1365i 1.04367 + 0.843440i
\(629\) 3.89042 6.73841i 0.155121 0.268678i
\(630\) −0.442605 2.46708i −0.0176338 0.0982907i
\(631\) −24.6191 + 14.2138i −0.980071 + 0.565844i −0.902292 0.431126i \(-0.858116\pi\)
−0.0777793 + 0.996971i \(0.524783\pi\)
\(632\) 9.08691 20.9835i 0.361458 0.834680i
\(633\) 27.4686 + 8.75510i 1.09178 + 0.347984i
\(634\) −9.44732 + 4.51187i −0.375201 + 0.179189i
\(635\) 5.05252 + 6.02135i 0.200503 + 0.238950i
\(636\) −10.3141 + 34.5495i −0.408981 + 1.36998i
\(637\) 4.05421 + 11.1389i 0.160634 + 0.441337i
\(638\) −0.174574 + 0.0485065i −0.00691143 + 0.00192039i
\(639\) −17.1803 24.8648i −0.679644 0.983635i
\(640\) 3.85875 + 3.39019i 0.152530 + 0.134009i
\(641\) 19.2764 + 3.39896i 0.761373 + 0.134251i 0.540836 0.841128i \(-0.318108\pi\)
0.220537 + 0.975379i \(0.429219\pi\)
\(642\) −13.0287 + 10.1242i −0.514203 + 0.399571i
\(643\) −10.2317 3.72402i −0.403497 0.146861i 0.132296 0.991210i \(-0.457765\pi\)
−0.535793 + 0.844349i \(0.679987\pi\)
\(644\) −5.23770 1.79769i −0.206394 0.0708391i
\(645\) −8.52493 + 0.345571i −0.335669 + 0.0136068i
\(646\) 2.29201 1.63659i 0.0901781 0.0643907i
\(647\) −19.0202 −0.747763 −0.373881 0.927477i \(-0.621973\pi\)
−0.373881 + 0.927477i \(0.621973\pi\)
\(648\) −22.9048 + 11.1072i −0.899785 + 0.436334i
\(649\) −0.193381 −0.00759085
\(650\) −12.3244 + 8.80007i −0.483401 + 0.345167i
\(651\) 20.3007 0.822917i 0.795646 0.0322527i
\(652\) −6.60795 + 19.2527i −0.258787 + 0.753995i
\(653\) −11.7763 4.28623i −0.460843 0.167733i 0.101157 0.994871i \(-0.467746\pi\)
−0.562000 + 0.827137i \(0.689968\pi\)
\(654\) −5.64198 + 4.38420i −0.220619 + 0.171436i
\(655\) −1.37786 0.242955i −0.0538376 0.00949302i
\(656\) −0.359194 9.73389i −0.0140242 0.380044i
\(657\) −0.872270 + 1.84053i −0.0340305 + 0.0718058i
\(658\) −8.08082 + 2.24531i −0.315023 + 0.0875315i
\(659\) 9.65592 + 26.5294i 0.376141 + 1.03344i 0.972942 + 0.231050i \(0.0742160\pi\)
−0.596801 + 0.802389i \(0.703562\pi\)
\(660\) −0.0265568 0.00792805i −0.00103372 0.000308599i
\(661\) 10.6735 + 12.7202i 0.415150 + 0.494757i 0.932577 0.360971i \(-0.117555\pi\)
−0.517427 + 0.855727i \(0.673110\pi\)
\(662\) 3.82482 1.82667i 0.148656 0.0709955i
\(663\) −5.41491 1.72590i −0.210298 0.0670285i
\(664\) −2.25783 + 5.21379i −0.0876208 + 0.202334i
\(665\) −0.693608 + 0.400455i −0.0268970 + 0.0155290i
\(666\) 21.1401 + 7.62302i 0.819161 + 0.295386i
\(667\) 7.73476 13.3970i 0.299491 0.518734i
\(668\) −20.1634 + 24.9502i −0.780147 + 0.965352i
\(669\) −4.76822 0.642884i −0.184350 0.0248553i
\(670\) 2.55689 + 1.75544i 0.0987814 + 0.0678187i
\(671\) 0.0275635 + 0.156320i 0.00106408 + 0.00603468i
\(672\) −2.22208 + 12.5546i −0.0857187 + 0.484304i
\(673\) 4.64214 + 3.89522i 0.178941 + 0.150150i 0.727859 0.685727i \(-0.240516\pi\)
−0.548918 + 0.835876i \(0.684960\pi\)
\(674\) −18.0163 4.64982i −0.693962 0.179105i
\(675\) −20.8825 13.5800i −0.803768 0.522694i
\(676\) 14.0199 + 7.75326i 0.539228 + 0.298202i
\(677\) −5.34485 4.48486i −0.205419 0.172367i 0.534274 0.845311i \(-0.320585\pi\)
−0.739693 + 0.672944i \(0.765029\pi\)
\(678\) −45.4800 + 14.6455i −1.74665 + 0.562458i
\(679\) 14.2922 2.52009i 0.548483 0.0967123i
\(680\) −1.68689 + 0.844178i −0.0646892 + 0.0323727i
\(681\) −16.2659 39.6183i −0.623309 1.51818i
\(682\) 0.0930625 0.204475i 0.00356355 0.00782975i
\(683\) 25.8624 + 14.9317i 0.989597 + 0.571344i 0.905154 0.425084i \(-0.139756\pi\)
0.0844432 + 0.996428i \(0.473089\pi\)
\(684\) 5.82144 + 5.68105i 0.222588 + 0.217220i
\(685\) 4.63301 2.67487i 0.177018 0.102201i
\(686\) 2.18183 + 22.5423i 0.0833025 + 0.860668i
\(687\) −18.2773 20.0715i −0.697324 0.765777i
\(688\) 41.3020 + 13.3296i 1.57463 + 0.508185i
\(689\) −14.9446 17.8103i −0.569346 0.678520i
\(690\) 2.09220 1.10541i 0.0796485 0.0420821i
\(691\) 31.1175 11.3259i 1.18377 0.430856i 0.326236 0.945288i \(-0.394220\pi\)
0.857531 + 0.514432i \(0.171997\pi\)
\(692\) −0.499268 27.0688i −0.0189793 1.02900i
\(693\) −0.0173903 0.0665597i −0.000660604 0.00252839i
\(694\) 29.5505 + 29.0105i 1.12172 + 1.10122i
\(695\) 0.422398 2.39554i 0.0160225 0.0908679i
\(696\) −33.2302 12.8183i −1.25959 0.485875i
\(697\) 3.36139 + 1.22345i 0.127322 + 0.0463414i
\(698\) −29.5599 2.31171i −1.11886 0.0874995i
\(699\) 29.6107 18.7345i 1.11998 0.708603i
\(700\) −11.6431 + 4.48259i −0.440069 + 0.169426i
\(701\) −9.68894 −0.365946 −0.182973 0.983118i \(-0.558572\pi\)
−0.182973 + 0.983118i \(0.558572\pi\)
\(702\) 2.14472 16.2737i 0.0809473 0.614212i
\(703\) 7.18080i 0.270829i
\(704\) 0.112842 + 0.0845087i 0.00425289 + 0.00318504i
\(705\) 1.66473 3.17370i 0.0626972 0.119528i
\(706\) 4.44740 + 0.347805i 0.167380 + 0.0130898i
\(707\) 7.42607 20.4030i 0.279286 0.767333i
\(708\) −30.5093 22.6764i −1.14661 0.852233i
\(709\) −24.6853 4.35269i −0.927077 0.163469i −0.310329 0.950629i \(-0.600439\pi\)
−0.616748 + 0.787161i \(0.711550\pi\)
\(710\) 4.53140 4.61575i 0.170060 0.173226i
\(711\) −14.0350 + 19.7803i −0.526354 + 0.741819i
\(712\) 0.329581 + 0.0786084i 0.0123516 + 0.00294597i
\(713\) 6.56025 + 18.0241i 0.245683 + 0.675009i
\(714\) −3.96423 2.49162i −0.148358 0.0932464i
\(715\) 0.0136901 0.0114874i 0.000511981 0.000429603i
\(716\) 4.36207 + 22.3230i 0.163018 + 0.834250i
\(717\) 3.16677 + 14.4982i 0.118265 + 0.541446i
\(718\) −43.0596 + 4.16766i −1.60697 + 0.155536i
\(719\) 16.4482 + 28.4892i 0.613415 + 1.06247i 0.990660 + 0.136353i \(0.0435381\pi\)
−0.377245 + 0.926113i \(0.623129\pi\)
\(720\) −3.26015 4.36493i −0.121499 0.162672i
\(721\) 10.3805 17.9796i 0.386590 0.669594i
\(722\) −10.0541 + 22.0906i −0.374173 + 0.822126i
\(723\) 19.8145 + 15.3027i 0.736911 + 0.569112i
\(724\) 22.3545 19.4713i 0.830799 0.723647i
\(725\) −6.05210 34.3232i −0.224769 1.27473i
\(726\) 26.3401 + 5.67104i 0.977571 + 0.210472i
\(727\) 20.0843 23.9355i 0.744884 0.887719i −0.251908 0.967751i \(-0.581058\pi\)
0.996792 + 0.0800327i \(0.0255025\pi\)
\(728\) −5.97190 5.65031i −0.221333 0.209414i
\(729\) 26.2062 6.49886i 0.970600 0.240699i
\(730\) −0.422076 0.108934i −0.0156217 0.00403182i
\(731\) −10.2449 + 12.2094i −0.378920 + 0.451579i
\(732\) −13.9820 + 27.8946i −0.516789 + 1.03101i
\(733\) −16.2456 + 2.86454i −0.600046 + 0.105804i −0.465417 0.885092i \(-0.654096\pi\)
−0.134630 + 0.990896i \(0.542984\pi\)
\(734\) 17.9093 26.0858i 0.661045 0.962846i
\(735\) −3.30271 2.55066i −0.121822 0.0940825i
\(736\) −11.9297 + 1.60059i −0.439734 + 0.0589985i
\(737\) 0.0737209 + 0.0425628i 0.00271554 + 0.00156782i
\(738\) −1.76366 + 10.1797i −0.0649213 + 0.374721i
\(739\) −11.5876 20.0704i −0.426258 0.738301i 0.570279 0.821451i \(-0.306835\pi\)
−0.996537 + 0.0831501i \(0.973502\pi\)
\(740\) −0.747682 + 4.75108i −0.0274853 + 0.174653i
\(741\) −5.12421 + 1.11925i −0.188243 + 0.0411168i
\(742\) −8.25475 17.2844i −0.303041 0.634532i
\(743\) 2.55778 2.14623i 0.0938358 0.0787376i −0.594663 0.803975i \(-0.702714\pi\)
0.688499 + 0.725238i \(0.258270\pi\)
\(744\) 38.6597 21.3469i 1.41733 0.782614i
\(745\) −6.12156 + 2.22807i −0.224277 + 0.0816300i
\(746\) 15.5825 4.32971i 0.570517 0.158522i
\(747\) 3.48729 4.91482i 0.127593 0.179824i
\(748\) −0.0443519 + 0.0267091i −0.00162167 + 0.000976580i
\(749\) 1.52210 8.63224i 0.0556162 0.315415i
\(750\) 4.10654 10.0877i 0.149950 0.368352i
\(751\) 0.701648 1.92776i 0.0256035 0.0703450i −0.926232 0.376953i \(-0.876972\pi\)
0.951836 + 0.306608i \(0.0991940\pi\)
\(752\) −13.5233 + 12.2250i −0.493144 + 0.445798i
\(753\) 22.5161 + 11.8106i 0.820533 + 0.430400i
\(754\) 18.6907 13.3459i 0.680676 0.486029i
\(755\) 5.39982i 0.196519i
\(756\) 5.06136 12.5403i 0.184080 0.456084i
\(757\) 41.6394i 1.51341i 0.653756 + 0.756705i \(0.273192\pi\)
−0.653756 + 0.756705i \(0.726808\pi\)
\(758\) −17.8336 24.9756i −0.647744 0.907154i
\(759\) 0.0548834 0.0347244i 0.00199214 0.00126042i
\(760\) −0.958688 + 1.45310i −0.0347753 + 0.0527094i
\(761\) −14.1101 + 38.7671i −0.511490 + 1.40531i 0.368195 + 0.929749i \(0.379976\pi\)
−0.879684 + 0.475558i \(0.842246\pi\)
\(762\) 5.79193 + 42.0114i 0.209819 + 1.52191i
\(763\) 0.659130 3.73811i 0.0238621 0.135329i
\(764\) 32.2936 19.4475i 1.16834 0.703585i
\(765\) 1.93577 0.505767i 0.0699879 0.0182860i
\(766\) 12.5596 + 45.2016i 0.453796 + 1.63320i
\(767\) 23.0337 8.38359i 0.831700 0.302714i
\(768\) 7.89311 + 26.5650i 0.284818 + 0.958582i
\(769\) −33.4132 + 28.0370i −1.20491 + 1.01104i −0.205437 + 0.978670i \(0.565861\pi\)
−0.999476 + 0.0323712i \(0.989694\pi\)
\(770\) 0.0132859 0.00634510i 0.000478789 0.000228662i
\(771\) −26.2525 28.8296i −0.945462 1.03827i
\(772\) 4.16940 + 0.656142i 0.150060 + 0.0236151i