Properties

Label 225.2.q.a.16.20
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.20
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.20

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00759 - 0.448609i) q^{2} +(1.00870 + 1.40802i) q^{3} +(-0.524267 + 0.582258i) q^{4} +(1.72966 - 1.41714i) q^{5} +(1.64801 + 0.966199i) q^{6} +(0.860383 - 1.49023i) q^{7} +(-0.948701 + 2.91980i) q^{8} +(-0.965042 + 2.84054i) q^{9} +O(q^{10})\) \(q+(1.00759 - 0.448609i) q^{2} +(1.00870 + 1.40802i) q^{3} +(-0.524267 + 0.582258i) q^{4} +(1.72966 - 1.41714i) q^{5} +(1.64801 + 0.966199i) q^{6} +(0.860383 - 1.49023i) q^{7} +(-0.948701 + 2.91980i) q^{8} +(-0.965042 + 2.84054i) q^{9} +(1.10705 - 2.20384i) q^{10} +(0.0672106 - 0.0299241i) q^{11} +(-1.34866 - 0.150855i) q^{12} +(-2.55665 - 1.13830i) q^{13} +(0.198386 - 1.88752i) q^{14} +(3.74007 + 1.00592i) q^{15} +(0.190149 + 1.80914i) q^{16} +(0.268852 - 0.827443i) q^{17} +(0.301925 + 3.29504i) q^{18} +(0.867657 - 2.67037i) q^{19} +(-0.0816614 + 1.75007i) q^{20} +(2.96614 - 0.291758i) q^{21} +(0.0542967 - 0.0603026i) q^{22} +(-0.295519 + 2.81167i) q^{23} +(-5.06810 + 1.60942i) q^{24} +(0.983426 - 4.90233i) q^{25} -3.08672 q^{26} +(-4.97298 + 1.50646i) q^{27} +(0.416626 + 1.28224i) q^{28} +(-3.13652 - 0.666689i) q^{29} +(4.21974 - 0.664273i) q^{30} +(-0.118483 + 0.0251844i) q^{31} +(-2.06687 - 3.57992i) q^{32} +(0.109929 + 0.0644494i) q^{33} +(-0.100305 - 0.954336i) q^{34} +(-0.623694 - 3.79687i) q^{35} +(-1.14799 - 2.05111i) q^{36} +(1.86002 - 1.35138i) q^{37} +(-0.323709 - 3.07989i) q^{38} +(-0.976157 - 4.74802i) q^{39} +(2.49684 + 6.39470i) q^{40} +(-10.1034 - 4.49833i) q^{41} +(2.85778 - 1.62461i) q^{42} +(4.98237 - 8.62972i) q^{43} +(-0.0178128 + 0.0548221i) q^{44} +(2.35626 + 6.28077i) q^{45} +(0.963580 + 2.96559i) q^{46} +(-10.7907 - 2.29364i) q^{47} +(-2.35551 + 2.09262i) q^{48} +(2.01948 + 3.49785i) q^{49} +(-1.20834 - 5.38073i) q^{50} +(1.43625 - 0.456093i) q^{51} +(2.00315 - 0.891860i) q^{52} +(2.96839 + 9.13577i) q^{53} +(-4.33493 + 3.74883i) q^{54} +(0.0738447 - 0.147005i) q^{55} +(3.53492 + 3.92593i) q^{56} +(4.63515 - 1.47193i) q^{57} +(-3.45942 + 0.735323i) q^{58} +(6.95253 + 3.09547i) q^{59} +(-2.54650 + 1.65031i) q^{60} +(-11.6667 + 5.19434i) q^{61} +(-0.108085 + 0.0785282i) q^{62} +(3.40275 + 3.88209i) q^{63} +(-6.63193 - 4.81838i) q^{64} +(-6.03526 + 1.65428i) q^{65} +(0.139677 + 0.0156235i) q^{66} +(15.7155 - 3.34044i) q^{67} +(0.340834 + 0.590342i) q^{68} +(-4.25698 + 2.42004i) q^{69} +(-2.33174 - 3.54590i) q^{70} +(3.68727 + 11.3483i) q^{71} +(-7.37829 - 5.51256i) q^{72} +(2.94814 + 2.14195i) q^{73} +(1.26790 - 2.19607i) q^{74} +(7.89457 - 3.56031i) q^{75} +(1.09996 + 1.90519i) q^{76} +(0.0132332 - 0.125905i) q^{77} +(-3.11358 - 4.34616i) q^{78} +(-0.221403 - 0.0470606i) q^{79} +(2.89270 + 2.85973i) q^{80} +(-7.13739 - 5.48249i) q^{81} -12.1981 q^{82} +(2.50430 + 2.78131i) q^{83} +(-1.38517 + 1.88002i) q^{84} +(-0.707580 - 1.81219i) q^{85} +(1.14883 - 10.9304i) q^{86} +(-2.22510 - 5.08878i) q^{87} +(0.0236096 + 0.224631i) q^{88} +(1.26081 + 0.916033i) q^{89} +(5.19176 + 5.27142i) q^{90} +(-3.89602 + 2.83062i) q^{91} +(-1.48219 - 1.64614i) q^{92} +(-0.154974 - 0.141423i) q^{93} +(-11.9016 + 2.52976i) q^{94} +(-2.28354 - 5.84842i) q^{95} +(2.95575 - 6.52127i) q^{96} +(10.1344 + 2.15414i) q^{97} +(3.60398 + 2.61845i) q^{98} +(0.0201397 + 0.219793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00759 0.448609i 0.712476 0.317215i −0.0182995 0.999833i \(-0.505825\pi\)
0.730776 + 0.682618i \(0.239159\pi\)
\(3\) 1.00870 + 1.40802i 0.582374 + 0.812921i
\(4\) −0.524267 + 0.582258i −0.262134 + 0.291129i
\(5\) 1.72966 1.41714i 0.773526 0.633764i
\(6\) 1.64801 + 0.966199i 0.672798 + 0.394449i
\(7\) 0.860383 1.49023i 0.325194 0.563253i −0.656357 0.754450i \(-0.727904\pi\)
0.981552 + 0.191197i \(0.0612370\pi\)
\(8\) −0.948701 + 2.91980i −0.335417 + 1.03231i
\(9\) −0.965042 + 2.84054i −0.321681 + 0.946848i
\(10\) 1.10705 2.20384i 0.350079 0.696916i
\(11\) 0.0672106 0.0299241i 0.0202648 0.00902245i −0.396579 0.918000i \(-0.629803\pi\)
0.416844 + 0.908978i \(0.363136\pi\)
\(12\) −1.34866 0.150855i −0.389325 0.0435479i
\(13\) −2.55665 1.13830i −0.709088 0.315706i 0.0203122 0.999794i \(-0.493534\pi\)
−0.729400 + 0.684087i \(0.760201\pi\)
\(14\) 0.198386 1.88752i 0.0530210 0.504461i
\(15\) 3.74007 + 1.00592i 0.965682 + 0.259727i
\(16\) 0.190149 + 1.80914i 0.0475372 + 0.452286i
\(17\) 0.268852 0.827443i 0.0652063 0.200684i −0.913145 0.407634i \(-0.866354\pi\)
0.978351 + 0.206950i \(0.0663538\pi\)
\(18\) 0.301925 + 3.29504i 0.0711645 + 0.776649i
\(19\) 0.867657 2.67037i 0.199054 0.612626i −0.800851 0.598863i \(-0.795619\pi\)
0.999905 0.0137621i \(-0.00438076\pi\)
\(20\) −0.0816614 + 1.75007i −0.0182600 + 0.391327i
\(21\) 2.96614 0.291758i 0.647265 0.0636668i
\(22\) 0.0542967 0.0603026i 0.0115761 0.0128566i
\(23\) −0.295519 + 2.81167i −0.0616199 + 0.586274i 0.919529 + 0.393022i \(0.128570\pi\)
−0.981149 + 0.193252i \(0.938096\pi\)
\(24\) −5.06810 + 1.60942i −1.03452 + 0.328521i
\(25\) 0.983426 4.90233i 0.196685 0.980467i
\(26\) −3.08672 −0.605355
\(27\) −4.97298 + 1.50646i −0.957051 + 0.289919i
\(28\) 0.416626 + 1.28224i 0.0787348 + 0.242321i
\(29\) −3.13652 0.666689i −0.582438 0.123801i −0.0927356 0.995691i \(-0.529561\pi\)
−0.489702 + 0.871890i \(0.662894\pi\)
\(30\) 4.21974 0.664273i 0.770415 0.121279i
\(31\) −0.118483 + 0.0251844i −0.0212802 + 0.00452324i −0.218539 0.975828i \(-0.570129\pi\)
0.197259 + 0.980351i \(0.436796\pi\)
\(32\) −2.06687 3.57992i −0.365374 0.632847i
\(33\) 0.109929 + 0.0644494i 0.0191362 + 0.0112192i
\(34\) −0.100305 0.954336i −0.0172021 0.163667i
\(35\) −0.623694 3.79687i −0.105423 0.641787i
\(36\) −1.14799 2.05111i −0.191332 0.341851i
\(37\) 1.86002 1.35138i 0.305785 0.222166i −0.424301 0.905521i \(-0.639480\pi\)
0.730086 + 0.683355i \(0.239480\pi\)
\(38\) −0.323709 3.07989i −0.0525126 0.499624i
\(39\) −0.976157 4.74802i −0.156310 0.760291i
\(40\) 2.49684 + 6.39470i 0.394785 + 1.01109i
\(41\) −10.1034 4.49833i −1.57789 0.702521i −0.583880 0.811840i \(-0.698466\pi\)
−0.994007 + 0.109319i \(0.965133\pi\)
\(42\) 2.85778 1.62461i 0.440965 0.250683i
\(43\) 4.98237 8.62972i 0.759804 1.31602i −0.183146 0.983086i \(-0.558628\pi\)
0.942950 0.332934i \(-0.108038\pi\)
\(44\) −0.0178128 + 0.0548221i −0.00268538 + 0.00826475i
\(45\) 2.35626 + 6.28077i 0.351250 + 0.936282i
\(46\) 0.963580 + 2.96559i 0.142072 + 0.437253i
\(47\) −10.7907 2.29364i −1.57399 0.334562i −0.663526 0.748153i \(-0.730941\pi\)
−0.910462 + 0.413592i \(0.864274\pi\)
\(48\) −2.35551 + 2.09262i −0.339988 + 0.302044i
\(49\) 2.01948 + 3.49785i 0.288497 + 0.499692i
\(50\) −1.20834 5.38073i −0.170885 0.760951i
\(51\) 1.43625 0.456093i 0.201115 0.0638658i
\(52\) 2.00315 0.891860i 0.277787 0.123679i
\(53\) 2.96839 + 9.13577i 0.407740 + 1.25489i 0.918586 + 0.395222i \(0.129332\pi\)
−0.510846 + 0.859673i \(0.670668\pi\)
\(54\) −4.33493 + 3.74883i −0.589910 + 0.510151i
\(55\) 0.0738447 0.147005i 0.00995721 0.0198222i
\(56\) 3.53492 + 3.92593i 0.472374 + 0.524624i
\(57\) 4.63515 1.47193i 0.613940 0.194962i
\(58\) −3.45942 + 0.735323i −0.454244 + 0.0965526i
\(59\) 6.95253 + 3.09547i 0.905143 + 0.402995i 0.805889 0.592067i \(-0.201688\pi\)
0.0992537 + 0.995062i \(0.468354\pi\)
\(60\) −2.54650 + 1.65031i −0.328752 + 0.213055i
\(61\) −11.6667 + 5.19434i −1.49377 + 0.665068i −0.981097 0.193518i \(-0.938010\pi\)
−0.512670 + 0.858586i \(0.671343\pi\)
\(62\) −0.108085 + 0.0785282i −0.0137268 + 0.00997310i
\(63\) 3.40275 + 3.88209i 0.428706 + 0.489097i
\(64\) −6.63193 4.81838i −0.828992 0.602298i
\(65\) −6.03526 + 1.65428i −0.748581 + 0.205188i
\(66\) 0.139677 + 0.0156235i 0.0171930 + 0.00192312i
\(67\) 15.7155 3.34044i 1.91996 0.408099i 0.920091 0.391705i \(-0.128115\pi\)
0.999866 0.0163944i \(-0.00521872\pi\)
\(68\) 0.340834 + 0.590342i 0.0413322 + 0.0715895i
\(69\) −4.25698 + 2.42004i −0.512480 + 0.291339i
\(70\) −2.33174 3.54590i −0.278696 0.423816i
\(71\) 3.68727 + 11.3483i 0.437599 + 1.34679i 0.890400 + 0.455179i \(0.150425\pi\)
−0.452801 + 0.891612i \(0.649575\pi\)
\(72\) −7.37829 5.51256i −0.869540 0.649662i
\(73\) 2.94814 + 2.14195i 0.345054 + 0.250696i 0.746791 0.665059i \(-0.231593\pi\)
−0.401737 + 0.915755i \(0.631593\pi\)
\(74\) 1.26790 2.19607i 0.147390 0.255288i
\(75\) 7.89457 3.56031i 0.911586 0.411109i
\(76\) 1.09996 + 1.90519i 0.126174 + 0.218540i
\(77\) 0.0132332 0.125905i 0.00150806 0.0143482i
\(78\) −3.11358 4.34616i −0.352543 0.492106i
\(79\) −0.221403 0.0470606i −0.0249098 0.00529473i 0.195440 0.980716i \(-0.437387\pi\)
−0.220350 + 0.975421i \(0.570720\pi\)
\(80\) 2.89270 + 2.85973i 0.323414 + 0.319728i
\(81\) −7.13739 5.48249i −0.793043 0.609166i
\(82\) −12.1981 −1.34706
\(83\) 2.50430 + 2.78131i 0.274883 + 0.305288i 0.864741 0.502219i \(-0.167483\pi\)
−0.589858 + 0.807507i \(0.700816\pi\)
\(84\) −1.38517 + 1.88002i −0.151135 + 0.205127i
\(85\) −0.707580 1.81219i −0.0767478 0.196560i
\(86\) 1.14883 10.9304i 0.123881 1.17865i
\(87\) −2.22510 5.08878i −0.238556 0.545574i
\(88\) 0.0236096 + 0.224631i 0.00251680 + 0.0239457i
\(89\) 1.26081 + 0.916033i 0.133646 + 0.0970993i 0.652600 0.757703i \(-0.273678\pi\)
−0.518954 + 0.854802i \(0.673678\pi\)
\(90\) 5.19176 + 5.27142i 0.547260 + 0.555656i
\(91\) −3.89602 + 2.83062i −0.408414 + 0.296730i
\(92\) −1.48219 1.64614i −0.154529 0.171621i
\(93\) −0.154974 0.141423i −0.0160701 0.0146649i
\(94\) −11.9016 + 2.52976i −1.22756 + 0.260925i
\(95\) −2.28354 5.84842i −0.234287 0.600035i
\(96\) 2.95575 6.52127i 0.301670 0.665574i
\(97\) 10.1344 + 2.15414i 1.02900 + 0.218720i 0.691324 0.722545i \(-0.257028\pi\)
0.337671 + 0.941264i \(0.390361\pi\)
\(98\) 3.60398 + 2.61845i 0.364057 + 0.264503i
\(99\) 0.0201397 + 0.219793i 0.00202411 + 0.0220900i
\(100\) 2.33884 + 3.14274i 0.233884 + 0.314274i
\(101\) −5.57016 + 9.64780i −0.554251 + 0.959992i 0.443710 + 0.896170i \(0.353662\pi\)
−0.997961 + 0.0638212i \(0.979671\pi\)
\(102\) 1.24255 1.10387i 0.123030 0.109300i
\(103\) 9.40302 10.4431i 0.926508 1.02899i −0.0729912 0.997333i \(-0.523255\pi\)
0.999499 0.0316583i \(-0.0100788\pi\)
\(104\) 5.74910 6.38502i 0.563745 0.626103i
\(105\) 4.71694 4.70808i 0.460326 0.459461i
\(106\) 7.08933 + 7.87349i 0.688576 + 0.764741i
\(107\) 2.07941 0.201024 0.100512 0.994936i \(-0.467952\pi\)
0.100512 + 0.994936i \(0.467952\pi\)
\(108\) 1.73002 3.68535i 0.166471 0.354623i
\(109\) −4.81227 + 3.49632i −0.460932 + 0.334887i −0.793897 0.608053i \(-0.791951\pi\)
0.332965 + 0.942939i \(0.391951\pi\)
\(110\) 0.00845742 0.181249i 0.000806384 0.0172814i
\(111\) 3.77898 + 1.25580i 0.358685 + 0.119196i
\(112\) 2.85964 + 1.27319i 0.270210 + 0.120305i
\(113\) 15.9127 + 7.08477i 1.49694 + 0.666479i 0.981677 0.190554i \(-0.0610286\pi\)
0.515260 + 0.857034i \(0.327695\pi\)
\(114\) 4.01002 3.56248i 0.375573 0.333657i
\(115\) 3.47339 + 5.28202i 0.323895 + 0.492551i
\(116\) 2.03256 1.47674i 0.188719 0.137112i
\(117\) 5.70066 6.16378i 0.527026 0.569842i
\(118\) 8.39398 0.772729
\(119\) −1.00176 1.11257i −0.0918313 0.101989i
\(120\) −6.48530 + 9.96595i −0.592024 + 0.909763i
\(121\) −7.35681 + 8.17057i −0.668801 + 0.742779i
\(122\) −9.42505 + 10.4676i −0.853304 + 0.947690i
\(123\) −3.85759 18.7633i −0.347827 1.69183i
\(124\) 0.0474530 0.0821910i 0.00426141 0.00738097i
\(125\) −5.24631 9.87301i −0.469244 0.883069i
\(126\) 5.17013 + 2.38506i 0.460592 + 0.212478i
\(127\) −1.39966 1.01691i −0.124199 0.0902362i 0.523951 0.851748i \(-0.324457\pi\)
−0.648151 + 0.761512i \(0.724457\pi\)
\(128\) −0.757049 0.160916i −0.0669143 0.0142231i
\(129\) 17.1765 1.68953i 1.51231 0.148755i
\(130\) −5.33896 + 4.37431i −0.468258 + 0.383652i
\(131\) −1.61913 + 0.344156i −0.141464 + 0.0300690i −0.278099 0.960552i \(-0.589704\pi\)
0.136636 + 0.990621i \(0.456371\pi\)
\(132\) −0.0951584 + 0.0302184i −0.00828248 + 0.00263017i
\(133\) −3.23294 3.59055i −0.280332 0.311340i
\(134\) 14.3363 10.4159i 1.23847 0.899800i
\(135\) −6.46669 + 9.65308i −0.556564 + 0.830805i
\(136\) 2.16091 + 1.56999i 0.185296 + 0.134626i
\(137\) 0.125787 + 1.19678i 0.0107467 + 0.102248i 0.998580 0.0532662i \(-0.0169632\pi\)
−0.987834 + 0.155514i \(0.950297\pi\)
\(138\) −3.20365 + 4.34814i −0.272713 + 0.370138i
\(139\) 0.920830 8.76112i 0.0781038 0.743108i −0.883456 0.468514i \(-0.844790\pi\)
0.961560 0.274595i \(-0.0885436\pi\)
\(140\) 2.53774 + 1.62742i 0.214478 + 0.137542i
\(141\) −7.65513 17.5071i −0.644678 1.47437i
\(142\) 8.80621 + 9.78029i 0.739001 + 0.820744i
\(143\) −0.205897 −0.0172179
\(144\) −5.32246 1.20577i −0.443538 0.100481i
\(145\) −6.36990 + 3.29175i −0.528991 + 0.273365i
\(146\) 3.93143 + 0.835651i 0.325367 + 0.0691589i
\(147\) −2.88798 + 6.37175i −0.238197 + 0.525533i
\(148\) −0.188294 + 1.79150i −0.0154777 + 0.147260i
\(149\) 4.66331 + 8.07709i 0.382033 + 0.661701i 0.991353 0.131224i \(-0.0418907\pi\)
−0.609320 + 0.792925i \(0.708557\pi\)
\(150\) 6.35733 7.12892i 0.519074 0.582074i
\(151\) −8.58646 + 14.8722i −0.698756 + 1.21028i 0.270142 + 0.962821i \(0.412929\pi\)
−0.968898 + 0.247461i \(0.920404\pi\)
\(152\) 6.97381 + 5.06677i 0.565651 + 0.410970i
\(153\) 2.09093 + 1.56220i 0.169042 + 0.126297i
\(154\) −0.0431486 0.132798i −0.00347702 0.0107012i
\(155\) −0.169245 + 0.211467i −0.0135941 + 0.0169855i
\(156\) 3.27634 + 1.92086i 0.262317 + 0.153792i
\(157\) 0.129733 + 0.224705i 0.0103539 + 0.0179334i 0.871156 0.491006i \(-0.163371\pi\)
−0.860802 + 0.508940i \(0.830038\pi\)
\(158\) −0.244196 + 0.0519054i −0.0194272 + 0.00412938i
\(159\) −9.86913 + 13.3948i −0.782673 + 1.06228i
\(160\) −8.64823 3.26300i −0.683703 0.257962i
\(161\) 3.93577 + 2.85950i 0.310182 + 0.225361i
\(162\) −9.65108 2.32222i −0.758261 0.182451i
\(163\) −10.2542 + 7.45009i −0.803168 + 0.583536i −0.911842 0.410542i \(-0.865340\pi\)
0.108674 + 0.994077i \(0.465340\pi\)
\(164\) 7.91607 3.52446i 0.618141 0.275214i
\(165\) 0.281474 0.0443097i 0.0219127 0.00344951i
\(166\) 3.77104 + 1.67897i 0.292689 + 0.130314i
\(167\) 15.2366 3.23863i 1.17904 0.250613i 0.423612 0.905844i \(-0.360762\pi\)
0.755429 + 0.655231i \(0.227429\pi\)
\(168\) −1.96211 + 8.93733i −0.151380 + 0.689530i
\(169\) −3.45794 3.84043i −0.265995 0.295418i
\(170\) −1.52592 1.50853i −0.117033 0.115699i
\(171\) 6.74799 + 5.04164i 0.516032 + 0.385544i
\(172\) 2.41263 + 7.42530i 0.183961 + 0.566174i
\(173\) −14.2185 + 6.33050i −1.08101 + 0.481299i −0.868414 0.495840i \(-0.834860\pi\)
−0.212601 + 0.977139i \(0.568194\pi\)
\(174\) −4.52487 4.12922i −0.343030 0.313035i
\(175\) −6.45947 5.68341i −0.488290 0.429626i
\(176\) 0.0669170 + 0.115904i 0.00504406 + 0.00873657i
\(177\) 2.65455 + 12.9117i 0.199528 + 0.970504i
\(178\) 1.68133 + 0.357377i 0.126021 + 0.0267865i
\(179\) −2.80001 8.61753i −0.209282 0.644105i −0.999510 0.0312917i \(-0.990038\pi\)
0.790228 0.612813i \(-0.209962\pi\)
\(180\) −4.89233 1.92085i −0.364653 0.143172i
\(181\) 5.73308 17.6446i 0.426137 1.31151i −0.475765 0.879572i \(-0.657829\pi\)
0.901902 0.431941i \(-0.142171\pi\)
\(182\) −2.65576 + 4.59991i −0.196858 + 0.340968i
\(183\) −19.0819 11.1874i −1.41058 0.826996i
\(184\) −7.92917 3.53029i −0.584546 0.260257i
\(185\) 1.30210 4.97334i 0.0957320 0.365647i
\(186\) −0.219595 0.0729741i −0.0161015 0.00535072i
\(187\) −0.00669074 0.0636581i −0.000489275 0.00465514i
\(188\) 6.99271 5.08050i 0.509996 0.370534i
\(189\) −2.03370 + 8.70701i −0.147930 + 0.633342i
\(190\) −4.92454 4.86841i −0.357264 0.353192i
\(191\) −1.91046 18.1768i −0.138236 1.31523i −0.815187 0.579198i \(-0.803366\pi\)
0.676951 0.736028i \(-0.263301\pi\)
\(192\) 0.0947368 14.1982i 0.00683704 1.02467i
\(193\) −13.4226 23.2487i −0.966182 1.67348i −0.706405 0.707808i \(-0.749684\pi\)
−0.259778 0.965668i \(-0.583649\pi\)
\(194\) 11.1777 2.37590i 0.802516 0.170580i
\(195\) −8.41703 6.82909i −0.602756 0.489041i
\(196\) −3.09540 0.657947i −0.221100 0.0469962i
\(197\) 7.98062 + 24.5618i 0.568596 + 1.74996i 0.657019 + 0.753874i \(0.271817\pi\)
−0.0884231 + 0.996083i \(0.528183\pi\)
\(198\) 0.118894 + 0.212427i 0.00844941 + 0.0150965i
\(199\) 17.2648 1.22387 0.611933 0.790909i \(-0.290392\pi\)
0.611933 + 0.790909i \(0.290392\pi\)
\(200\) 13.3809 + 7.52226i 0.946170 + 0.531904i
\(201\) 20.5557 + 18.7583i 1.44989 + 1.32311i
\(202\) −1.28436 + 12.2199i −0.0903673 + 0.859788i
\(203\) −3.69213 + 4.10052i −0.259137 + 0.287800i
\(204\) −0.487414 + 1.07538i −0.0341258 + 0.0752917i
\(205\) −23.8502 + 6.53739i −1.66577 + 0.456591i
\(206\) 4.78954 14.7407i 0.333703 1.02703i
\(207\) −7.70149 3.55282i −0.535291 0.246938i
\(208\) 1.57320 4.84180i 0.109082 0.335718i
\(209\) −0.0215927 0.205441i −0.00149360 0.0142107i
\(210\) 2.64067 6.85989i 0.182224 0.473378i
\(211\) 1.80003 17.1262i 0.123919 1.17901i −0.739012 0.673692i \(-0.764707\pi\)
0.862931 0.505322i \(-0.168626\pi\)
\(212\) −6.87560 3.06122i −0.472218 0.210245i
\(213\) −12.2592 + 16.6388i −0.839988 + 1.14007i
\(214\) 2.09520 0.932843i 0.143225 0.0637678i
\(215\) −3.61173 21.9872i −0.246318 1.49951i
\(216\) 0.319301 15.9493i 0.0217257 1.08521i
\(217\) −0.0644104 + 0.198235i −0.00437246 + 0.0134571i
\(218\) −3.28033 + 5.68170i −0.222172 + 0.384813i
\(219\) −0.0421140 + 6.31163i −0.00284580 + 0.426500i
\(220\) 0.0468806 + 0.120067i 0.00316069 + 0.00809489i
\(221\) −1.62924 + 1.80945i −0.109594 + 0.121717i
\(222\) 4.37104 0.429948i 0.293365 0.0288562i
\(223\) −7.14582 + 3.18152i −0.478520 + 0.213051i −0.631799 0.775132i \(-0.717683\pi\)
0.153279 + 0.988183i \(0.451017\pi\)
\(224\) −7.11320 −0.475271
\(225\) 12.9762 + 7.52442i 0.865083 + 0.501628i
\(226\) 19.2118 1.27795
\(227\) −4.35782 + 1.94023i −0.289239 + 0.128777i −0.546227 0.837637i \(-0.683936\pi\)
0.256988 + 0.966415i \(0.417270\pi\)
\(228\) −1.57301 + 3.47053i −0.104175 + 0.229842i
\(229\) −12.8062 + 14.2227i −0.846258 + 0.939865i −0.998827 0.0484278i \(-0.984579\pi\)
0.152568 + 0.988293i \(0.451246\pi\)
\(230\) 5.86933 + 3.76393i 0.387012 + 0.248186i
\(231\) 0.190626 0.108368i 0.0125422 0.00713011i
\(232\) 4.92222 8.52554i 0.323160 0.559729i
\(233\) −1.95135 + 6.00565i −0.127837 + 0.393443i −0.994407 0.105613i \(-0.966320\pi\)
0.866570 + 0.499056i \(0.166320\pi\)
\(234\) 2.97881 8.76796i 0.194731 0.573179i
\(235\) −21.9147 + 11.3248i −1.42955 + 0.738746i
\(236\) −5.44734 + 2.42531i −0.354592 + 0.157874i
\(237\) −0.157067 0.359210i −0.0102026 0.0233332i
\(238\) −1.50848 0.671617i −0.0977801 0.0435345i
\(239\) −2.13485 + 20.3117i −0.138092 + 1.31386i 0.677626 + 0.735407i \(0.263009\pi\)
−0.815718 + 0.578450i \(0.803658\pi\)
\(240\) −1.10869 + 6.95760i −0.0715653 + 0.449111i
\(241\) 0.423906 + 4.03319i 0.0273062 + 0.259801i 0.999655 + 0.0262674i \(0.00836214\pi\)
−0.972349 + 0.233533i \(0.924971\pi\)
\(242\) −3.74728 + 11.5330i −0.240884 + 0.741366i
\(243\) 0.519962 15.5798i 0.0333556 0.999444i
\(244\) 3.09201 9.51624i 0.197946 0.609215i
\(245\) 8.44995 + 3.18818i 0.539847 + 0.203686i
\(246\) −12.3043 17.1752i −0.784491 1.09505i
\(247\) −5.25797 + 5.83957i −0.334557 + 0.371563i
\(248\) 0.0388717 0.369840i 0.00246836 0.0234848i
\(249\) −1.39005 + 6.33162i −0.0880906 + 0.401250i
\(250\) −9.71527 7.59444i −0.614447 0.480314i
\(251\) −15.4647 −0.976121 −0.488060 0.872810i \(-0.662295\pi\)
−0.488060 + 0.872810i \(0.662295\pi\)
\(252\) −4.04433 0.0539735i −0.254769 0.00340001i
\(253\) 0.0642747 + 0.197817i 0.00404092 + 0.0124367i
\(254\) −1.86648 0.396733i −0.117113 0.0248932i
\(255\) 1.83787 2.82425i 0.115092 0.176861i
\(256\) 15.2018 3.23124i 0.950112 0.201952i
\(257\) −12.7683 22.1153i −0.796464 1.37952i −0.921906 0.387414i \(-0.873368\pi\)
0.125442 0.992101i \(-0.459965\pi\)
\(258\) 16.5490 9.40792i 1.03030 0.585711i
\(259\) −0.413539 3.93456i −0.0256961 0.244482i
\(260\) 2.20087 4.38136i 0.136492 0.271720i
\(261\) 4.92063 8.26605i 0.304580 0.511656i
\(262\) −1.47703 + 1.07312i −0.0912511 + 0.0662978i
\(263\) −2.73540 26.0256i −0.168672 1.60481i −0.671892 0.740649i \(-0.734518\pi\)
0.503220 0.864158i \(-0.332149\pi\)
\(264\) −0.292470 + 0.259828i −0.0180003 + 0.0159913i
\(265\) 18.0810 + 11.5951i 1.11071 + 0.712283i
\(266\) −4.86825 2.16748i −0.298491 0.132897i
\(267\) −0.0180106 + 2.69925i −0.00110223 + 0.165191i
\(268\) −6.29414 + 10.9018i −0.384476 + 0.665931i
\(269\) −1.12202 + 3.45323i −0.0684109 + 0.210547i −0.979418 0.201844i \(-0.935306\pi\)
0.911007 + 0.412392i \(0.135306\pi\)
\(270\) −2.18533 + 12.6274i −0.132995 + 0.768479i
\(271\) −2.08198 6.40767i −0.126471 0.389238i 0.867695 0.497097i \(-0.165601\pi\)
−0.994166 + 0.107859i \(0.965601\pi\)
\(272\) 1.54809 + 0.329056i 0.0938665 + 0.0199519i
\(273\) −7.91550 2.63042i −0.479068 0.159200i
\(274\) 0.663631 + 1.14944i 0.0400914 + 0.0694403i
\(275\) −0.0806012 0.358917i −0.00486044 0.0216435i
\(276\) 0.822707 3.74741i 0.0495212 0.225567i
\(277\) 9.97918 4.44302i 0.599591 0.266955i −0.0844159 0.996431i \(-0.526902\pi\)
0.684007 + 0.729475i \(0.260236\pi\)
\(278\) −3.00250 9.24074i −0.180078 0.554223i
\(279\) 0.0428039 0.360860i 0.00256260 0.0216042i
\(280\) 11.6778 + 1.78103i 0.697882 + 0.106437i
\(281\) −8.88116 9.86352i −0.529805 0.588409i 0.417525 0.908665i \(-0.362897\pi\)
−0.947331 + 0.320257i \(0.896231\pi\)
\(282\) −15.5671 14.2059i −0.927009 0.845951i
\(283\) 9.43123 2.00467i 0.560628 0.119165i 0.0811229 0.996704i \(-0.474149\pi\)
0.479506 + 0.877539i \(0.340816\pi\)
\(284\) −8.54073 3.80258i −0.506799 0.225642i
\(285\) 5.93128 9.11459i 0.351339 0.539902i
\(286\) −0.207460 + 0.0923672i −0.0122674 + 0.00546179i
\(287\) −15.3963 + 11.1861i −0.908817 + 0.660294i
\(288\) 12.1636 2.41626i 0.716744 0.142379i
\(289\) 13.1409 + 9.54743i 0.772995 + 0.561613i
\(290\) −4.94156 + 6.17434i −0.290178 + 0.362570i
\(291\) 7.18954 + 16.4424i 0.421458 + 0.963868i
\(292\) −2.79278 + 0.593624i −0.163435 + 0.0347392i
\(293\) 0.00920116 + 0.0159369i 0.000537537 + 0.000931042i 0.866294 0.499534i \(-0.166496\pi\)
−0.865757 + 0.500465i \(0.833162\pi\)
\(294\) −0.0514827 + 7.71571i −0.00300253 + 0.449990i
\(295\) 16.4122 4.49862i 0.955556 0.261920i
\(296\) 2.18117 + 6.71295i 0.126778 + 0.390182i
\(297\) −0.289158 + 0.250062i −0.0167786 + 0.0145101i
\(298\) 8.32218 + 6.04642i 0.482091 + 0.350259i
\(299\) 3.95605 6.85208i 0.228784 0.396266i
\(300\) −2.06585 + 6.46323i −0.119272 + 0.373155i
\(301\) −8.57349 14.8497i −0.494168 0.855924i
\(302\) −1.97986 + 18.8371i −0.113928 + 1.08395i
\(303\) −19.2029 + 1.88885i −1.10318 + 0.108512i
\(304\) 4.99607 + 1.06195i 0.286545 + 0.0609069i
\(305\) −12.8183 + 25.5178i −0.733971 + 1.46114i
\(306\) 2.80763 + 0.636054i 0.160502 + 0.0363608i
\(307\) −8.63956 −0.493086 −0.246543 0.969132i \(-0.579295\pi\)
−0.246543 + 0.969132i \(0.579295\pi\)
\(308\) 0.0663716 + 0.0737131i 0.00378187 + 0.00420020i
\(309\) 24.1890 + 2.70566i 1.37606 + 0.153920i
\(310\) −0.0756642 + 0.288998i −0.00429744 + 0.0164140i
\(311\) 1.34053 12.7543i 0.0760143 0.723228i −0.888443 0.458988i \(-0.848212\pi\)
0.964457 0.264240i \(-0.0851212\pi\)
\(312\) 14.7894 + 1.65427i 0.837283 + 0.0936544i
\(313\) 0.261032 + 2.48355i 0.0147544 + 0.140379i 0.999419 0.0340785i \(-0.0108496\pi\)
−0.984665 + 0.174457i \(0.944183\pi\)
\(314\) 0.231523 + 0.168212i 0.0130656 + 0.00949273i
\(315\) 11.3871 + 1.89250i 0.641588 + 0.106631i
\(316\) 0.143476 0.104241i 0.00807114 0.00586402i
\(317\) 11.2785 + 12.5261i 0.633465 + 0.703534i 0.971350 0.237653i \(-0.0763782\pi\)
−0.337885 + 0.941187i \(0.609712\pi\)
\(318\) −3.93502 + 17.9239i −0.220665 + 1.00512i
\(319\) −0.230758 + 0.0490491i −0.0129200 + 0.00274622i
\(320\) −18.2993 + 1.06423i −1.02296 + 0.0594925i
\(321\) 2.09750 + 2.92785i 0.117071 + 0.163417i
\(322\) 5.24846 + 1.11559i 0.292485 + 0.0621696i
\(323\) −1.97631 1.43587i −0.109965 0.0798941i
\(324\) 6.93412 1.28151i 0.385229 0.0711950i
\(325\) −8.09458 + 11.4141i −0.449007 + 0.633142i
\(326\) −6.98985 + 12.1068i −0.387132 + 0.670532i
\(327\) −9.77704 3.24903i −0.540671 0.179672i
\(328\) 22.7193 25.2324i 1.25447 1.39323i
\(329\) −12.7022 + 14.1072i −0.700295 + 0.777756i
\(330\) 0.263733 0.170918i 0.0145180 0.00940872i
\(331\) 21.0641 + 23.3941i 1.15779 + 1.28585i 0.951599 + 0.307342i \(0.0994397\pi\)
0.206190 + 0.978512i \(0.433894\pi\)
\(332\) −2.93236 −0.160934
\(333\) 2.04367 + 6.58761i 0.111992 + 0.360999i
\(334\) 13.8994 10.0985i 0.760540 0.552565i
\(335\) 22.4486 28.0489i 1.22650 1.53248i
\(336\) 1.09184 + 5.31070i 0.0595648 + 0.289722i
\(337\) 7.27103 + 3.23727i 0.396078 + 0.176345i 0.595104 0.803649i \(-0.297111\pi\)
−0.199025 + 0.979994i \(0.563778\pi\)
\(338\) −5.20705 2.31833i −0.283226 0.126100i
\(339\) 6.07562 + 29.5518i 0.329983 + 1.60503i
\(340\) 1.42612 + 0.538080i 0.0773425 + 0.0291815i
\(341\) −0.00720970 + 0.00523816i −0.000390427 + 0.000283662i
\(342\) 9.06096 + 2.05271i 0.489960 + 0.110998i
\(343\) 18.9955 1.02566
\(344\) 20.4703 + 22.7346i 1.10368 + 1.22577i
\(345\) −3.93358 + 10.2186i −0.211777 + 0.550150i
\(346\) −11.4866 + 12.7571i −0.617522 + 0.685828i
\(347\) 8.40921 9.33938i 0.451430 0.501364i −0.473872 0.880593i \(-0.657144\pi\)
0.925303 + 0.379229i \(0.123811\pi\)
\(348\) 4.12953 + 1.37229i 0.221366 + 0.0735627i
\(349\) 10.8487 18.7905i 0.580718 1.00583i −0.414677 0.909969i \(-0.636105\pi\)
0.995394 0.0958636i \(-0.0305613\pi\)
\(350\) −9.05815 2.82879i −0.484178 0.151205i
\(351\) 14.4290 + 1.80922i 0.770163 + 0.0965690i
\(352\) −0.246042 0.178760i −0.0131141 0.00952792i
\(353\) 1.53544 + 0.326367i 0.0817230 + 0.0173708i 0.248592 0.968608i \(-0.420032\pi\)
−0.166869 + 0.985979i \(0.553366\pi\)
\(354\) 8.46702 + 11.8189i 0.450017 + 0.628167i
\(355\) 22.4598 + 14.4032i 1.19204 + 0.764443i
\(356\) −1.19437 + 0.253871i −0.0633014 + 0.0134551i
\(357\) 0.556041 2.53275i 0.0294288 0.134047i
\(358\) −6.68717 7.42686i −0.353428 0.392522i
\(359\) −3.14788 + 2.28707i −0.166139 + 0.120707i −0.667748 0.744387i \(-0.732742\pi\)
0.501609 + 0.865094i \(0.332742\pi\)
\(360\) −20.5740 + 0.921239i −1.08434 + 0.0485535i
\(361\) 8.99326 + 6.53399i 0.473330 + 0.343894i
\(362\) −2.13892 20.3505i −0.112419 1.06960i
\(363\) −18.9252 2.11688i −0.993313 0.111107i
\(364\) 0.394403 3.75249i 0.0206723 0.196684i
\(365\) 8.13472 0.473092i 0.425791 0.0247627i
\(366\) −24.2456 2.71200i −1.26734 0.141758i
\(367\) −14.0367 15.5893i −0.732709 0.813756i 0.255509 0.966807i \(-0.417757\pi\)
−0.988218 + 0.153051i \(0.951090\pi\)
\(368\) −5.14291 −0.268093
\(369\) 22.5279 24.3581i 1.17276 1.26803i
\(370\) −0.919104 5.59524i −0.0477819 0.290882i
\(371\) 16.1683 + 3.43668i 0.839418 + 0.178424i
\(372\) 0.163593 0.0160914i 0.00848188 0.000834301i
\(373\) −2.54774 + 24.2401i −0.131917 + 1.25510i 0.705567 + 0.708643i \(0.250692\pi\)
−0.837484 + 0.546462i \(0.815974\pi\)
\(374\) −0.0352992 0.0611400i −0.00182528 0.00316147i
\(375\) 8.60944 17.3458i 0.444589 0.895734i
\(376\) 16.9341 29.3308i 0.873312 1.51262i
\(377\) 7.26011 + 5.27478i 0.373915 + 0.271665i
\(378\) 1.85691 + 9.68546i 0.0955090 + 0.498166i
\(379\) −2.82883 8.70624i −0.145307 0.447209i 0.851743 0.523959i \(-0.175546\pi\)
−0.997050 + 0.0767501i \(0.975546\pi\)
\(380\) 4.60247 + 1.73652i 0.236102 + 0.0890818i
\(381\) 0.0199940 2.99650i 0.00102432 0.153516i
\(382\) −10.0792 17.4577i −0.515699 0.893216i
\(383\) 3.39470 0.721566i 0.173461 0.0368703i −0.120362 0.992730i \(-0.538406\pi\)
0.293823 + 0.955860i \(0.405072\pi\)
\(384\) −0.537064 1.22826i −0.0274069 0.0626792i
\(385\) −0.155537 0.236526i −0.00792688 0.0120545i
\(386\) −23.9541 17.4037i −1.21923 0.885825i
\(387\) 19.7049 + 22.4807i 1.00166 + 1.14276i
\(388\) −6.56741 + 4.77150i −0.333410 + 0.242236i
\(389\) 1.01305 0.451038i 0.0513635 0.0228685i −0.380894 0.924619i \(-0.624384\pi\)
0.432258 + 0.901750i \(0.357717\pi\)
\(390\) −11.5445 3.10499i −0.584580 0.157227i
\(391\) 2.24705 + 1.00045i 0.113638 + 0.0505949i
\(392\) −12.1289 + 2.57808i −0.612602 + 0.130213i
\(393\) −2.11779 1.93261i −0.106829 0.0974873i
\(394\) 19.0599 + 21.1681i 0.960223 + 1.06644i
\(395\) −0.449643 + 0.232360i −0.0226240 + 0.0116913i
\(396\) −0.138535 0.103504i −0.00696163 0.00520126i
\(397\) −10.6072 32.6455i −0.532358 1.63843i −0.749289 0.662243i \(-0.769605\pi\)
0.216931 0.976187i \(-0.430395\pi\)
\(398\) 17.3959 7.74514i 0.871976 0.388229i
\(399\) 1.79449 8.17384i 0.0898368 0.409204i
\(400\) 9.05603 + 0.846987i 0.452801 + 0.0423494i
\(401\) −5.42797 9.40152i −0.271060 0.469490i 0.698074 0.716026i \(-0.254041\pi\)
−0.969134 + 0.246536i \(0.920708\pi\)
\(402\) 29.1269 + 9.67924i 1.45272 + 0.482756i
\(403\) 0.331587 + 0.0704811i 0.0165175 + 0.00351091i
\(404\) −2.69725 8.30129i −0.134193 0.413005i
\(405\) −20.1147 + 0.631855i −0.999507 + 0.0313971i
\(406\) −1.88063 + 5.78798i −0.0933341 + 0.287253i
\(407\) 0.0845742 0.146487i 0.00419219 0.00726108i
\(408\) −0.0308685 + 4.62626i −0.00152822 + 0.229034i
\(409\) −21.0478 9.37110i −1.04075 0.463371i −0.186074 0.982536i \(-0.559576\pi\)
−0.854674 + 0.519165i \(0.826243\pi\)
\(410\) −21.0986 + 17.2864i −1.04198 + 0.853717i
\(411\) −1.55821 + 1.38431i −0.0768610 + 0.0682829i
\(412\) 1.15089 + 10.9500i 0.0567002 + 0.539466i
\(413\) 10.5948 7.69757i 0.521336 0.378772i
\(414\) −9.35380 0.124831i −0.459714 0.00613511i
\(415\) 8.27309 + 1.26176i 0.406110 + 0.0619375i
\(416\) 1.20926 + 11.5053i 0.0592888 + 0.564095i
\(417\) 13.2647 7.54080i 0.649574 0.369275i
\(418\) −0.113920 0.197315i −0.00557199 0.00965097i
\(419\) −0.262852 + 0.0558710i −0.0128412 + 0.00272948i −0.214328 0.976762i \(-0.568756\pi\)
0.201487 + 0.979491i \(0.435423\pi\)
\(420\) 0.268376 + 5.21477i 0.0130954 + 0.254455i
\(421\) −31.8293 6.76552i −1.55126 0.329731i −0.648957 0.760825i \(-0.724794\pi\)
−0.902307 + 0.431094i \(0.858128\pi\)
\(422\) −5.86926 18.0637i −0.285711 0.879328i
\(423\) 16.9287 28.4381i 0.823101 1.38271i
\(424\) −29.4908 −1.43220
\(425\) −3.79200 2.13173i −0.183939 0.103404i
\(426\) −4.88801 + 22.2647i −0.236825 + 1.07873i
\(427\) −2.29707 + 21.8551i −0.111163 + 1.05764i
\(428\) −1.09017 + 1.21075i −0.0526952 + 0.0585239i
\(429\) −0.207688 0.289907i −0.0100273 0.0139968i
\(430\) −13.5028 20.5339i −0.651163 0.990231i
\(431\) 6.87180 21.1492i 0.331003 1.01872i −0.637655 0.770322i \(-0.720095\pi\)
0.968658 0.248400i \(-0.0799047\pi\)
\(432\) −3.67102 8.71039i −0.176622 0.419079i
\(433\) 3.53683 10.8853i 0.169969 0.523112i −0.829399 0.558657i \(-0.811317\pi\)
0.999368 + 0.0355453i \(0.0113168\pi\)
\(434\) 0.0240305 + 0.228635i 0.00115350 + 0.0109748i
\(435\) −11.0602 5.64855i −0.530295 0.270827i
\(436\) 0.487157 4.63499i 0.0233306 0.221976i
\(437\) 7.25180 + 3.22871i 0.346901 + 0.154450i
\(438\) 2.78902 + 6.37845i 0.133265 + 0.304774i
\(439\) −4.38848 + 1.95388i −0.209451 + 0.0932536i −0.508781 0.860896i \(-0.669904\pi\)
0.299330 + 0.954150i \(0.403237\pi\)
\(440\) 0.359170 + 0.355076i 0.0171228 + 0.0169276i
\(441\) −11.8847 + 2.36086i −0.565937 + 0.112422i
\(442\) −0.829871 + 2.55408i −0.0394729 + 0.121485i
\(443\) −7.69824 + 13.3337i −0.365754 + 0.633505i −0.988897 0.148603i \(-0.952522\pi\)
0.623143 + 0.782108i \(0.285856\pi\)
\(444\) −2.71240 + 1.54196i −0.128725 + 0.0731784i
\(445\) 3.47892 0.202324i 0.164916 0.00959106i
\(446\) −5.77282 + 6.41137i −0.273351 + 0.303587i
\(447\) −6.66882 + 14.7134i −0.315424 + 0.695920i
\(448\) −12.8865 + 5.73743i −0.608829 + 0.271068i
\(449\) −37.4902 −1.76927 −0.884635 0.466284i \(-0.845593\pi\)
−0.884635 + 0.466284i \(0.845593\pi\)
\(450\) 16.4503 + 1.76029i 0.775475 + 0.0829809i
\(451\) −0.813665 −0.0383140
\(452\) −12.4676 + 5.55095i −0.586429 + 0.261095i
\(453\) −29.6015 + 2.91169i −1.39080 + 0.136803i
\(454\) −3.52051 + 3.90992i −0.165226 + 0.183502i
\(455\) −2.72739 + 10.4172i −0.127862 + 0.488366i
\(456\) −0.0996206 + 14.9301i −0.00466516 + 0.699168i
\(457\) 14.5265 25.1606i 0.679520 1.17696i −0.295606 0.955310i \(-0.595522\pi\)
0.975126 0.221652i \(-0.0711451\pi\)
\(458\) −6.52300 + 20.0757i −0.304800 + 0.938077i
\(459\) −0.0904867 + 4.51988i −0.00422356 + 0.210970i
\(460\) −4.89648 0.746782i −0.228300 0.0348189i
\(461\) 6.74253 3.00197i 0.314031 0.139816i −0.243668 0.969859i \(-0.578351\pi\)
0.557699 + 0.830043i \(0.311684\pi\)
\(462\) 0.143458 0.194708i 0.00667427 0.00905862i
\(463\) 7.19200 + 3.20209i 0.334241 + 0.148814i 0.566993 0.823722i \(-0.308107\pi\)
−0.232753 + 0.972536i \(0.574773\pi\)
\(464\) 0.609730 5.80119i 0.0283060 0.269314i
\(465\) −0.468469 0.0249932i −0.0217247 0.00115903i
\(466\) 0.728020 + 6.92664i 0.0337249 + 0.320871i
\(467\) 6.90367 21.2473i 0.319464 0.983209i −0.654414 0.756137i \(-0.727085\pi\)
0.973878 0.227072i \(-0.0729154\pi\)
\(468\) 0.600244 + 6.55072i 0.0277463 + 0.302807i
\(469\) 8.54336 26.2938i 0.394496 1.21413i
\(470\) −17.0007 + 21.2419i −0.784182 + 0.979815i
\(471\) −0.185527 + 0.409328i −0.00854862 + 0.0188608i
\(472\) −15.6340 + 17.3633i −0.719615 + 0.799213i
\(473\) 0.0766316 0.729101i 0.00352353 0.0335241i
\(474\) −0.319405 0.291476i −0.0146707 0.0133879i
\(475\) −12.2378 6.87966i −0.561508 0.315660i
\(476\) 1.17299 0.0537640
\(477\) −28.8152 0.384553i −1.31936 0.0176075i
\(478\) 6.96097 + 21.4237i 0.318388 + 0.979896i
\(479\) 1.22171 + 0.259683i 0.0558215 + 0.0118652i 0.235738 0.971817i \(-0.424249\pi\)
−0.179916 + 0.983682i \(0.557583\pi\)
\(480\) −4.12912 15.4683i −0.188468 0.706027i
\(481\) −6.29370 + 1.33777i −0.286968 + 0.0609969i
\(482\) 2.23645 + 3.87365i 0.101868 + 0.176440i
\(483\) −0.0562223 + 8.42603i −0.00255820 + 0.383398i
\(484\) −0.900441 8.56712i −0.0409291 0.389415i
\(485\) 20.5818 10.6360i 0.934571 0.482955i
\(486\) −6.46533 15.9313i −0.293273 0.722661i
\(487\) −7.11621 + 5.17023i −0.322466 + 0.234286i −0.737227 0.675645i \(-0.763865\pi\)
0.414761 + 0.909930i \(0.363865\pi\)
\(488\) −4.09826 38.9923i −0.185519 1.76510i
\(489\) −20.8333 6.92316i −0.942113 0.313076i
\(490\) 9.94436 0.578335i 0.449240 0.0261265i
\(491\) 19.8886 + 8.85500i 0.897562 + 0.399620i 0.803056 0.595904i \(-0.203206\pi\)
0.0945064 + 0.995524i \(0.469873\pi\)
\(492\) 12.9475 + 7.59086i 0.583717 + 0.342222i
\(493\) −1.39491 + 2.41605i −0.0628235 + 0.108814i
\(494\) −2.67821 + 8.24268i −0.120498 + 0.370856i
\(495\) 0.346312 + 0.351625i 0.0155656 + 0.0158044i
\(496\) −0.0680916 0.209564i −0.00305740 0.00940971i
\(497\) 20.0840 + 4.26898i 0.900889 + 0.191490i
\(498\) 1.43982 + 7.00328i 0.0645200 + 0.313825i
\(499\) 7.50240 + 12.9945i 0.335854 + 0.581715i 0.983648 0.180099i \(-0.0576419\pi\)
−0.647795 + 0.761815i \(0.724309\pi\)
\(500\) 8.49910 + 2.12139i 0.380091 + 0.0948715i
\(501\) 19.9292 + 18.1866i 0.890371 + 0.812516i
\(502\) −15.5821 + 6.93760i −0.695463 + 0.309640i
\(503\) −9.75336 30.0177i −0.434881 1.33842i −0.893209 0.449642i \(-0.851552\pi\)
0.458328 0.888783i \(-0.348448\pi\)
\(504\) −14.5631 + 6.25242i −0.648693 + 0.278505i
\(505\) 4.03782 + 24.5811i 0.179681 + 1.09384i
\(506\) 0.153506 + 0.170485i 0.00682415 + 0.00757899i
\(507\) 1.91938 8.74270i 0.0852425 0.388277i
\(508\) 1.32590 0.281828i 0.0588272 0.0125041i
\(509\) −16.1555 7.19291i −0.716081 0.318820i 0.0161561 0.999869i \(-0.494857\pi\)
−0.732237 + 0.681050i \(0.761524\pi\)
\(510\) 0.584839 3.67018i 0.0258971 0.162518i
\(511\) 5.72852 2.55050i 0.253415 0.112828i
\(512\) 15.1200 10.9853i 0.668214 0.485486i
\(513\) −0.292024 + 14.5868i −0.0128932 + 0.644024i
\(514\) −22.7864 16.5553i −1.00506 0.730222i
\(515\) 1.46464 31.3884i 0.0645399 1.38314i
\(516\) −8.02135 + 10.8869i −0.353120 + 0.479271i
\(517\) −0.793886 + 0.168746i −0.0349151 + 0.00742143i
\(518\) −2.18176 3.77892i −0.0958610 0.166036i
\(519\) −23.2557 13.6344i −1.02081 0.598484i
\(520\) 0.895497 19.1912i 0.0392701 0.841588i
\(521\) 6.89659 + 21.2255i 0.302145 + 0.929907i 0.980727 + 0.195382i \(0.0625947\pi\)
−0.678582 + 0.734524i \(0.737405\pi\)
\(522\) 1.24977 10.5363i 0.0547010 0.461160i
\(523\) 17.1151 + 12.4349i 0.748392 + 0.543738i 0.895328 0.445408i \(-0.146941\pi\)
−0.146936 + 0.989146i \(0.546941\pi\)
\(524\) 0.648467 1.12318i 0.0283284 0.0490663i
\(525\) 1.48668 14.8279i 0.0648842 0.647144i
\(526\) −14.4315 24.9961i −0.629244 1.08988i
\(527\) −0.0110159 + 0.104809i −0.000479858 + 0.00456554i
\(528\) −0.0956954 + 0.211133i −0.00416461 + 0.00918838i
\(529\) 14.6792 + 3.12017i 0.638227 + 0.135659i
\(530\) 23.4199 + 3.57187i 1.01730 + 0.155152i
\(531\) −15.5023 + 16.7617i −0.672742 + 0.727397i
\(532\) 3.78555 0.164124
\(533\) 20.7105 + 23.0013i 0.897070 + 0.996298i
\(534\) 1.19276 + 2.72783i 0.0516159 + 0.118045i
\(535\) 3.59666 2.94681i 0.155497 0.127402i
\(536\) −5.15592 + 49.0553i −0.222702 + 2.11887i
\(537\) 9.30929 12.6350i 0.401725 0.545240i
\(538\) 0.418609 + 3.98280i 0.0180475 + 0.171711i
\(539\) 0.240401 + 0.174661i 0.0103548 + 0.00752319i
\(540\) −2.23031 8.82607i −0.0959773 0.379814i
\(541\) 2.18565 1.58797i 0.0939686 0.0682722i −0.539809 0.841788i \(-0.681503\pi\)
0.633777 + 0.773515i \(0.281503\pi\)
\(542\) −4.97233 5.52233i −0.213580 0.237204i
\(543\) 30.6269 9.72585i 1.31433 0.417376i
\(544\) −3.51786 + 0.747745i −0.150827 + 0.0320593i
\(545\) −3.36880 + 12.8671i −0.144304 + 0.551166i
\(546\) −9.15563 + 0.900574i −0.391825 + 0.0385410i
\(547\) −22.6251 4.80910i −0.967378 0.205622i −0.302976 0.952998i \(-0.597980\pi\)
−0.664402 + 0.747376i \(0.731314\pi\)
\(548\) −0.762783 0.554194i −0.0325845 0.0236740i
\(549\) −3.49592 38.1525i −0.149202 1.62831i
\(550\) −0.242227 0.325484i −0.0103286 0.0138787i
\(551\) −4.50173 + 7.79723i −0.191780 + 0.332173i
\(552\) −3.02744 14.7254i −0.128856 0.626756i
\(553\) −0.260622 + 0.289450i −0.0110828 + 0.0123087i
\(554\) 8.06178 8.95351i 0.342512 0.380398i
\(555\) 8.31599 3.18324i 0.352994 0.135121i
\(556\) 4.61847 + 5.12933i 0.195867 + 0.217532i
\(557\) 2.75385 0.116684 0.0583422 0.998297i \(-0.481419\pi\)
0.0583422 + 0.998297i \(0.481419\pi\)
\(558\) −0.118757 0.382803i −0.00502737 0.0162053i
\(559\) −22.5613 + 16.3918i −0.954243 + 0.693298i
\(560\) 6.75048 1.85032i 0.285260 0.0781903i
\(561\) 0.0828829 0.0736327i 0.00349932 0.00310878i
\(562\) −13.3735 5.95425i −0.564126 0.251165i
\(563\) 23.9656 + 10.6702i 1.01003 + 0.449694i 0.843952 0.536419i \(-0.180223\pi\)
0.166077 + 0.986113i \(0.446890\pi\)
\(564\) 14.2070 + 4.72117i 0.598223 + 0.198797i
\(565\) 37.5636 10.2962i 1.58031 0.433166i
\(566\) 8.60353 6.25083i 0.361633 0.262742i
\(567\) −14.3110 + 5.91929i −0.601007 + 0.248587i
\(568\) −36.6328 −1.53708
\(569\) −18.4167 20.4538i −0.772068 0.857469i 0.220968 0.975281i \(-0.429079\pi\)
−0.993036 + 0.117812i \(0.962412\pi\)
\(570\) 1.88743 11.8446i 0.0790556 0.496117i
\(571\) −18.0991 + 20.1011i −0.757424 + 0.841205i −0.991377 0.131043i \(-0.958167\pi\)
0.233952 + 0.972248i \(0.424834\pi\)
\(572\) 0.107945 0.119885i 0.00451340 0.00501264i
\(573\) 23.6662 21.0249i 0.988669 0.878328i
\(574\) −10.4951 + 18.1780i −0.438055 + 0.758734i
\(575\) 13.4931 + 4.21380i 0.562702 + 0.175728i
\(576\) 20.0869 14.1884i 0.836955 0.591182i
\(577\) 8.01728 + 5.82489i 0.333764 + 0.242493i 0.742026 0.670371i \(-0.233865\pi\)
−0.408262 + 0.912865i \(0.633865\pi\)
\(578\) 17.5238 + 3.72479i 0.728892 + 0.154931i
\(579\) 19.1952 42.3503i 0.797725 1.76002i
\(580\) 1.42288 5.43468i 0.0590820 0.225663i
\(581\) 6.29944 1.33899i 0.261345 0.0555506i
\(582\) 14.6203 + 13.3419i 0.606032 + 0.553040i
\(583\) 0.472887 + 0.525194i 0.0195850 + 0.0217513i
\(584\) −9.05098 + 6.57592i −0.374532 + 0.272113i
\(585\) 1.12523 18.7399i 0.0465226 0.774798i
\(586\) 0.0164205 + 0.0119302i 0.000678323 + 0.000492830i
\(587\) 0.933648 + 8.88307i 0.0385358 + 0.366643i 0.996748 + 0.0805845i \(0.0256787\pi\)
−0.958212 + 0.286059i \(0.907655\pi\)
\(588\) −2.19593 5.02205i −0.0905586 0.207106i
\(589\) −0.0355510 + 0.338245i −0.00146485 + 0.0139372i
\(590\) 14.5187 11.8955i 0.597726 0.489728i
\(591\) −26.5335 + 36.0124i −1.09144 + 1.48135i
\(592\) 2.79853 + 3.10808i 0.115019 + 0.127741i
\(593\) −2.95431 −0.121319 −0.0606594 0.998159i \(-0.519320\pi\)
−0.0606594 + 0.998159i \(0.519320\pi\)
\(594\) −0.179173 + 0.381680i −0.00735156 + 0.0156605i
\(595\) −3.30937 0.504726i −0.135671 0.0206917i
\(596\) −7.14777 1.51930i −0.292784 0.0622331i
\(597\) 17.4150 + 24.3091i 0.712748 + 0.994907i
\(598\) 0.912182 8.67883i 0.0373019 0.354904i
\(599\) −0.577510 1.00028i −0.0235964 0.0408702i 0.853986 0.520296i \(-0.174178\pi\)
−0.877582 + 0.479426i \(0.840845\pi\)
\(600\) 2.90581 + 26.4283i 0.118629 + 1.07893i
\(601\) 6.94255 12.0248i 0.283192 0.490504i −0.688977 0.724783i \(-0.741940\pi\)
0.972169 + 0.234280i \(0.0752732\pi\)
\(602\) −15.3003 11.1163i −0.623594 0.453068i
\(603\) −5.67748 + 47.8643i −0.231205 + 1.94919i
\(604\) −4.15785 12.7965i −0.169180 0.520683i
\(605\) −1.14592 + 24.5579i −0.0465883 + 0.998422i
\(606\) −18.5014 + 10.5178i −0.751567 + 0.427257i
\(607\) 21.1355 + 36.6078i 0.857866 + 1.48587i 0.873961 + 0.485996i \(0.161543\pi\)
−0.0160954 + 0.999870i \(0.505124\pi\)
\(608\) −11.3531 + 2.41317i −0.460428 + 0.0978669i
\(609\) −9.49788 1.06239i −0.384873 0.0430501i
\(610\) −1.46807 + 31.4619i −0.0594406 + 1.27386i
\(611\) 24.9773 + 18.1471i 1.01047 + 0.734151i
\(612\) −2.00581 + 0.398450i −0.0810802 + 0.0161064i
\(613\) −13.1852 + 9.57962i −0.532546 + 0.386917i −0.821309 0.570483i \(-0.806756\pi\)
0.288763 + 0.957401i \(0.406756\pi\)
\(614\) −8.70516 + 3.87579i −0.351312 + 0.156414i
\(615\) −33.2625 26.9873i −1.34127 1.08823i
\(616\) 0.355064 + 0.158085i 0.0143059 + 0.00636942i
\(617\) 31.4538 6.68571i 1.26628 0.269157i 0.474661 0.880169i \(-0.342571\pi\)
0.791621 + 0.611012i \(0.209237\pi\)
\(618\) 25.5864 8.12519i 1.02924 0.326843i
\(619\) 29.5371 + 32.8042i 1.18720 + 1.31851i 0.936591 + 0.350424i \(0.113963\pi\)
0.250604 + 0.968090i \(0.419371\pi\)
\(620\) −0.0343988 0.209410i −0.00138149 0.00841010i
\(621\) −2.76607 14.4276i −0.110999 0.578959i
\(622\) −4.37098 13.4525i −0.175260 0.539395i
\(623\) 2.44988 1.09076i 0.0981522 0.0437002i
\(624\) 8.40424 2.66884i 0.336439 0.106839i
\(625\) −23.0657 9.64216i −0.922630 0.385687i
\(626\) 1.37716 + 2.38531i 0.0550424 + 0.0953361i
\(627\) 0.267485 0.237632i 0.0106823 0.00949011i
\(628\) −0.198851 0.0422671i −0.00793502 0.00168664i
\(629\) −0.618122 1.90238i −0.0246461 0.0758530i
\(630\) 12.3225 3.20147i 0.490941 0.127549i
\(631\) −3.76108 + 11.5754i −0.149726 + 0.460811i −0.997588 0.0694064i \(-0.977889\pi\)
0.847862 + 0.530217i \(0.177889\pi\)
\(632\) 0.347453 0.601806i 0.0138209 0.0239386i
\(633\) 25.9297 14.7407i 1.03061 0.585891i
\(634\) 16.9835 + 7.56153i 0.674500 + 0.300307i
\(635\) −3.86203 + 0.224605i −0.153260 + 0.00891316i
\(636\) −2.62518 12.7688i −0.104095 0.506318i
\(637\) −1.18153 11.2415i −0.0468141 0.445406i
\(638\) −0.210506 + 0.152942i −0.00833401 + 0.00605502i
\(639\) −35.7936 0.477684i −1.41597 0.0188969i
\(640\) −1.53748 + 0.794516i −0.0607741 + 0.0314060i
\(641\) −0.0873812 0.831377i −0.00345135 0.0328374i 0.992661 0.120933i \(-0.0385886\pi\)
−0.996112 + 0.0880955i \(0.971922\pi\)
\(642\) 3.42689 + 2.00912i 0.135249 + 0.0792937i
\(643\) 5.78414 + 10.0184i 0.228104 + 0.395088i 0.957246 0.289274i \(-0.0934140\pi\)
−0.729142 + 0.684362i \(0.760081\pi\)
\(644\) −3.72836 + 0.792488i −0.146918 + 0.0312284i
\(645\) 27.3152 27.2639i 1.07554 1.07351i
\(646\) −2.63546 0.560185i −0.103691 0.0220402i
\(647\) −9.03550 27.8084i −0.355222 1.09326i −0.955881 0.293756i \(-0.905095\pi\)
0.600658 0.799506i \(-0.294905\pi\)
\(648\) 22.7790 15.6385i 0.894845 0.614339i
\(649\) 0.559913 0.0219785
\(650\) −3.03556 + 15.1321i −0.119064 + 0.593530i
\(651\) −0.344090 + 0.109269i −0.0134859 + 0.00428258i
\(652\) 1.03805 9.87640i 0.0406532 0.386790i
\(653\) −6.65329 + 7.38923i −0.260363 + 0.289163i −0.859126 0.511763i \(-0.828992\pi\)
0.598763 + 0.800926i \(0.295659\pi\)
\(654\) −11.3088 + 1.11237i −0.442210 + 0.0434970i
\(655\) −2.31281 + 2.88980i −0.0903691 + 0.112914i
\(656\) 6.21697 19.1339i 0.242732 0.747052i
\(657\) −8.92938 + 6.30725i −0.348368 + 0.246069i
\(658\) −6.47002 + 19.9127i −0.252228 + 0.776276i
\(659\) 1.31489 + 12.5103i 0.0512207 + 0.487333i 0.989820 + 0.142324i \(0.0454574\pi\)
−0.938599 + 0.345009i \(0.887876\pi\)
\(660\) −0.121768 + 0.187120i −0.00473980 + 0.00728365i
\(661\) 1.25194 11.9114i 0.0486949 0.463301i −0.942820 0.333304i \(-0.891837\pi\)
0.991514 0.129997i \(-0.0414968\pi\)
\(662\) 31.7189 + 14.1221i 1.23279 + 0.548873i
\(663\) −4.19116 0.468802i −0.162771 0.0182068i
\(664\) −10.4967 + 4.67343i −0.407351 + 0.181364i
\(665\) −10.6802 1.62888i −0.414160 0.0631653i
\(666\) 5.01445 + 5.72082i 0.194306 + 0.221677i
\(667\) 2.80141 8.62185i 0.108471 0.333840i
\(668\) −6.10231 + 10.5695i −0.236105 + 0.408947i
\(669\) −11.6877 6.85225i −0.451871 0.264923i
\(670\) 10.0360 38.3325i 0.387726 1.48092i
\(671\) −0.628689 + 0.698230i −0.0242703 + 0.0269549i
\(672\) −7.17510 10.0155i −0.276785 0.386357i
\(673\) −24.2839 + 10.8119i −0.936076 + 0.416768i −0.817338 0.576158i \(-0.804551\pi\)
−0.118737 + 0.992926i \(0.537885\pi\)
\(674\) 8.77851 0.338136
\(675\) 2.49462 + 25.8607i 0.0960181 + 0.995380i
\(676\) 4.04901 0.155731
\(677\) 26.1107 11.6252i 1.00351 0.446793i 0.161862 0.986813i \(-0.448250\pi\)
0.841652 + 0.540020i \(0.181583\pi\)
\(678\) 19.3790 + 27.0506i 0.744244 + 1.03887i
\(679\) 11.9296 13.2492i 0.457818 0.508458i
\(680\) 5.96253 0.346763i 0.228653 0.0132978i
\(681\) −7.12762 4.17879i −0.273131 0.160132i
\(682\) −0.00491456 + 0.00851227i −0.000188188 + 0.000325952i
\(683\) −10.0969 + 31.0752i −0.386349 + 1.18906i 0.549148 + 0.835725i \(0.314952\pi\)
−0.935497 + 0.353335i \(0.885048\pi\)
\(684\) −6.47328 + 1.28590i −0.247512 + 0.0491677i
\(685\) 1.91358 + 1.89177i 0.0731141 + 0.0722807i
\(686\) 19.1397 8.52155i 0.730758 0.325354i
\(687\) −32.9436 3.68491i −1.25687 0.140588i
\(688\) 16.5598 + 7.37290i 0.631336 + 0.281089i
\(689\) 2.81006 26.7359i 0.107055 1.01856i
\(690\) 0.620706 + 12.0608i 0.0236299 + 0.459147i
\(691\) 4.38833 + 41.7522i 0.166940 + 1.58833i 0.682117 + 0.731243i \(0.261060\pi\)
−0.515177 + 0.857084i \(0.672274\pi\)
\(692\) 3.76833 11.5977i 0.143250 0.440879i
\(693\) 0.344869 + 0.159093i 0.0131005 + 0.00604346i
\(694\) 4.28333 13.1827i 0.162593 0.500410i
\(695\) −10.8230 16.4587i −0.410540 0.624313i
\(696\) 16.9692 1.66914i 0.643215 0.0632685i
\(697\) −6.43843 + 7.15060i −0.243873 + 0.270848i
\(698\) 2.50148 23.8000i 0.0946825 0.900844i
\(699\) −10.4244 + 3.31036i −0.394287 + 0.125209i
\(700\) 6.69570 0.781448i 0.253074 0.0295360i
\(701\) −19.3944 −0.732517 −0.366258 0.930513i \(-0.619361\pi\)
−0.366258 + 0.930513i \(0.619361\pi\)
\(702\) 15.3502 4.65003i 0.579356 0.175504i
\(703\) −1.99484 6.13948i −0.0752368 0.231555i
\(704\) −0.589922 0.125392i −0.0222335 0.00472588i
\(705\) −38.0508 19.4330i −1.43308 0.731888i
\(706\) 1.69351 0.359966i 0.0637360 0.0135475i
\(707\) 9.58494 + 16.6016i 0.360479 + 0.624367i
\(708\) −8.90964 5.22355i −0.334845 0.196313i
\(709\) 3.41022 + 32.4461i 0.128074 + 1.21854i 0.850080 + 0.526653i \(0.176553\pi\)
−0.722007 + 0.691886i \(0.756780\pi\)
\(710\) 29.0918 + 4.43691i 1.09179 + 0.166514i
\(711\) 0.347341 0.583489i 0.0130263 0.0218826i
\(712\) −3.87077 + 2.81228i −0.145063 + 0.105395i
\(713\) −0.0357962 0.340578i −0.00134058 0.0127547i
\(714\) −0.575953 2.80143i −0.0215545 0.104841i
\(715\) −0.356131 + 0.291784i −0.0133185 + 0.0109121i
\(716\) 6.48558 + 2.88756i 0.242377 + 0.107913i
\(717\) −30.7527 + 17.4826i −1.14848 + 0.652898i
\(718\) −2.14578 + 3.71661i −0.0800799 + 0.138703i
\(719\) −9.39727 + 28.9218i −0.350459 + 1.07860i 0.608137 + 0.793832i \(0.291917\pi\)
−0.958596 + 0.284770i \(0.908083\pi\)
\(720\) −10.9148 + 5.45709i −0.406770 + 0.203374i
\(721\) −7.47241 22.9977i −0.278287 0.856480i
\(722\) 11.9928 + 2.54914i 0.446324 + 0.0948692i
\(723\) −5.25122 + 4.66516i −0.195295 + 0.173499i
\(724\) 7.26804 + 12.5886i 0.270115 + 0.467852i
\(725\) −6.35287 + 14.7206i −0.235940 + 0.546711i
\(726\) −20.0185 + 6.35706i −0.742957 + 0.235932i
\(727\) −2.33978 + 1.04174i −0.0867778 + 0.0386360i −0.449667 0.893197i \(-0.648457\pi\)
0.362889 + 0.931832i \(0.381791\pi\)
\(728\) −4.56870 14.0610i −0.169327 0.521136i
\(729\) 22.4611 14.9832i 0.831894 0.554935i
\(730\) 7.98425 4.12599i 0.295510 0.152710i
\(731\) −5.80107 6.44274i −0.214560 0.238293i
\(732\) 16.5180 5.24543i 0.610522 0.193877i
\(733\) −16.3291 + 3.47085i −0.603129 + 0.128199i −0.499348 0.866401i \(-0.666427\pi\)
−0.103780 + 0.994600i \(0.533094\pi\)
\(734\) −21.1368 9.41070i −0.780173 0.347355i
\(735\) 4.03445 + 15.1136i 0.148813 + 0.557474i
\(736\) 10.6764 4.75343i 0.393536 0.175214i
\(737\) 0.956290 0.694786i 0.0352254 0.0255928i
\(738\) 11.7717 34.6493i 0.433322 1.27546i
\(739\) 26.7420 + 19.4292i 0.983720 + 0.714714i 0.958537 0.284968i \(-0.0919831\pi\)
0.0251831 + 0.999683i \(0.491983\pi\)
\(740\) 2.21312 + 3.36551i 0.0813559 + 0.123719i
\(741\) −13.5259 1.51295i −0.496888 0.0555795i
\(742\) 17.8328 3.79049i 0.654664 0.139153i
\(743\) −8.24520 14.2811i −0.302487 0.523923i 0.674212 0.738538i \(-0.264484\pi\)
−0.976699 + 0.214615i \(0.931150\pi\)
\(744\) 0.559952 0.318326i 0.0205288 0.0116704i
\(745\) 19.5123 + 7.36203i 0.714875 + 0.269724i
\(746\) 8.30725 + 25.5671i 0.304150 + 0.936078i
\(747\) −10.3172 + 4.42950i −0.377486 + 0.162067i
\(748\) 0.0405732 + 0.0294781i 0.00148350 + 0.00107783i
\(749\) 1.78909 3.09879i 0.0653719 0.113227i
\(750\) 0.893312 21.3398i 0.0326191 0.779220i
\(751\) −25.3638 43.9313i −0.925537 1.60308i −0.790696 0.612209i \(-0.790281\pi\)
−0.134841 0.990867i \(-0.543052\pi\)
\(752\) 2.09768 19.9581i 0.0764946 0.727797i
\(753\) −15.5992 21.7746i −0.568468 0.793509i
\(754\) 9.68156 + 2.05788i 0.352581 + 0.0749435i
\(755\) 6.22435 + 37.8920i 0.226527 + 1.37903i
\(756\) −4.00352 5.74894i −0.145607 0.209087i
\(757\) −39.6630 −1.44158 −0.720788 0.693156i \(-0.756220\pi\)
−0.720788 + 0.693156i \(0.756220\pi\)
\(758\) −6.75601 7.50331i −0.245389 0.272532i
\(759\) −0.213697 + 0.290039i −0.00775670 + 0.0105277i
\(760\) 19.2426 1.11910i 0.698004 0.0405939i
\(761\) 1.78434 16.9769i 0.0646823 0.615411i −0.913381 0.407105i \(-0.866538\pi\)
0.978064 0.208306i \(-0.0667950\pi\)
\(762\) −1.32411 3.02823i −0.0479676 0.109701i
\(763\) 1.06991 + 10.1796i 0.0387335 + 0.368525i
\(764\) 11.5852 + 8.41711i 0.419136 + 0.304520i
\(765\) 5.83046 0.261070i 0.210801 0.00943900i
\(766\) 3.09678 2.24994i 0.111891 0.0812937i
\(767\) −14.2517 15.8281i −0.514597 0.571518i
\(768\) 19.8837 + 18.1451i 0.717492 + 0.654754i
\(769\) −21.2454 + 4.51585i −0.766129 + 0.162846i −0.574370 0.818596i \(-0.694753\pi\)
−0.191760 + 0.981442i \(0.561419\pi\)
\(770\) −0.262826 0.168547i −0.00947158 0.00607401i