Properties

Label 240.2.bl.a.109.12
Level $240$
Weight $2$
Character 240.109
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 109.12
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.345118 - 1.37146i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.76179 + 0.946629i) q^{4} +(2.16437 + 0.561697i) q^{5} +(-1.21380 - 0.725731i) q^{6} +4.51614 q^{7} +(1.90629 + 2.08952i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(-0.345118 - 1.37146i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.76179 + 0.946629i) q^{4} +(2.16437 + 0.561697i) q^{5} +(-1.21380 - 0.725731i) q^{6} +4.51614 q^{7} +(1.90629 + 2.08952i) q^{8} -1.00000i q^{9} +(0.0233792 - 3.16219i) q^{10} +(-3.44000 + 3.44000i) q^{11} +(-0.576403 + 1.91514i) q^{12} +(-0.113618 + 0.113618i) q^{13} +(-1.55860 - 6.19370i) q^{14} +(1.92762 - 1.13326i) q^{15} +(2.20779 - 3.33552i) q^{16} -5.03305i q^{17} +(-1.37146 + 0.345118i) q^{18} +(-0.992498 - 0.992498i) q^{19} +(-4.34488 + 1.05927i) q^{20} +(3.19340 - 3.19340i) q^{21} +(5.90502 + 3.53061i) q^{22} -8.00517 q^{23} +(2.82546 + 0.129563i) q^{24} +(4.36899 + 2.43144i) q^{25} +(0.195033 + 0.116610i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-7.95648 + 4.27512i) q^{28} +(-1.01722 - 1.01722i) q^{29} +(-2.21948 - 2.25254i) q^{30} -6.42697 q^{31} +(-5.33647 - 1.87673i) q^{32} +4.86490i q^{33} +(-6.90261 + 1.73700i) q^{34} +(9.77461 + 2.53670i) q^{35} +(0.946629 + 1.76179i) q^{36} +(1.63459 + 1.63459i) q^{37} +(-1.01864 + 1.70370i) q^{38} +0.160680i q^{39} +(2.95223 + 5.59324i) q^{40} +3.35633i q^{41} +(-5.48170 - 3.27751i) q^{42} +(5.68196 + 5.68196i) q^{43} +(2.80414 - 9.31696i) q^{44} +(0.561697 - 2.16437i) q^{45} +(2.76273 + 10.9787i) q^{46} -9.10261i q^{47} +(-0.797427 - 3.91971i) q^{48} +13.3956 q^{49} +(1.82679 - 6.83102i) q^{50} +(-3.55890 - 3.55890i) q^{51} +(0.0926163 - 0.307724i) q^{52} +(3.27113 + 3.27113i) q^{53} +(-0.725731 + 1.21380i) q^{54} +(-9.37767 + 5.51320i) q^{55} +(8.60906 + 9.43655i) q^{56} -1.40360 q^{57} +(-1.04401 + 1.74614i) q^{58} +(-5.30843 + 5.30843i) q^{59} +(-2.32328 + 3.82131i) q^{60} +(-5.87487 - 5.87487i) q^{61} +(2.21806 + 8.81431i) q^{62} -4.51614i q^{63} +(-0.732149 + 7.96643i) q^{64} +(-0.309729 + 0.182092i) q^{65} +(6.67200 - 1.67896i) q^{66} +(-1.87639 + 1.87639i) q^{67} +(4.76443 + 8.86716i) q^{68} +(-5.66051 + 5.66051i) q^{69} +(0.105584 - 14.2809i) q^{70} -0.635312i q^{71} +(2.08952 - 1.90629i) q^{72} +6.14208 q^{73} +(1.67765 - 2.80590i) q^{74} +(4.80863 - 1.37006i) q^{75} +(2.68810 + 0.809042i) q^{76} +(-15.5355 + 15.5355i) q^{77} +(0.220365 - 0.0554535i) q^{78} +1.76500 q^{79} +(6.65201 - 5.97919i) q^{80} -1.00000 q^{81} +(4.60307 - 1.15833i) q^{82} +(-6.39170 + 6.39170i) q^{83} +(-2.60312 + 8.64905i) q^{84} +(2.82705 - 10.8934i) q^{85} +(5.83162 - 9.75352i) q^{86} -1.43857 q^{87} +(-13.7456 - 0.630310i) q^{88} +0.579554i q^{89} +(-3.16219 - 0.0233792i) q^{90} +(-0.513114 + 0.513114i) q^{91} +(14.1034 - 7.57793i) q^{92} +(-4.54455 + 4.54455i) q^{93} +(-12.4838 + 3.14148i) q^{94} +(-1.59065 - 2.70562i) q^{95} +(-5.10050 + 2.44640i) q^{96} -15.2769i q^{97} +(-4.62305 - 18.3714i) q^{98} +(3.44000 + 3.44000i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.345118 1.37146i −0.244035 0.969766i
\(3\) 0.707107 0.707107i 0.408248 0.408248i
\(4\) −1.76179 + 0.946629i −0.880893 + 0.473315i
\(5\) 2.16437 + 0.561697i 0.967936 + 0.251198i
\(6\) −1.21380 0.725731i −0.495532 0.296278i
\(7\) 4.51614 1.70694 0.853471 0.521140i \(-0.174493\pi\)
0.853471 + 0.521140i \(0.174493\pi\)
\(8\) 1.90629 + 2.08952i 0.673974 + 0.738755i
\(9\) 1.00000i 0.333333i
\(10\) 0.0233792 3.16219i 0.00739317 0.999973i
\(11\) −3.44000 + 3.44000i −1.03720 + 1.03720i −0.0379186 + 0.999281i \(0.512073\pi\)
−0.999281 + 0.0379186i \(0.987927\pi\)
\(12\) −0.576403 + 1.91514i −0.166393 + 0.552853i
\(13\) −0.113618 + 0.113618i −0.0315119 + 0.0315119i −0.722687 0.691175i \(-0.757093\pi\)
0.691175 + 0.722687i \(0.257093\pi\)
\(14\) −1.55860 6.19370i −0.416554 1.65534i
\(15\) 1.92762 1.13326i 0.497709 0.292607i
\(16\) 2.20779 3.33552i 0.551946 0.833880i
\(17\) 5.03305i 1.22069i −0.792134 0.610347i \(-0.791030\pi\)
0.792134 0.610347i \(-0.208970\pi\)
\(18\) −1.37146 + 0.345118i −0.323255 + 0.0813451i
\(19\) −0.992498 0.992498i −0.227695 0.227695i 0.584034 0.811729i \(-0.301473\pi\)
−0.811729 + 0.584034i \(0.801473\pi\)
\(20\) −4.34488 + 1.05927i −0.971544 + 0.236859i
\(21\) 3.19340 3.19340i 0.696856 0.696856i
\(22\) 5.90502 + 3.53061i 1.25895 + 0.752728i
\(23\) −8.00517 −1.66919 −0.834596 0.550862i \(-0.814299\pi\)
−0.834596 + 0.550862i \(0.814299\pi\)
\(24\) 2.82546 + 0.129563i 0.576744 + 0.0264469i
\(25\) 4.36899 + 2.43144i 0.873799 + 0.486288i
\(26\) 0.195033 + 0.116610i 0.0382492 + 0.0228691i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) −7.95648 + 4.27512i −1.50363 + 0.807921i
\(29\) −1.01722 1.01722i −0.188894 0.188894i 0.606324 0.795218i \(-0.292643\pi\)
−0.795218 + 0.606324i \(0.792643\pi\)
\(30\) −2.21948 2.25254i −0.405219 0.411255i
\(31\) −6.42697 −1.15432 −0.577159 0.816632i \(-0.695839\pi\)
−0.577159 + 0.816632i \(0.695839\pi\)
\(32\) −5.33647 1.87673i −0.943363 0.331763i
\(33\) 4.86490i 0.846870i
\(34\) −6.90261 + 1.73700i −1.18379 + 0.297893i
\(35\) 9.77461 + 2.53670i 1.65221 + 0.428781i
\(36\) 0.946629 + 1.76179i 0.157772 + 0.293631i
\(37\) 1.63459 + 1.63459i 0.268726 + 0.268726i 0.828587 0.559861i \(-0.189145\pi\)
−0.559861 + 0.828587i \(0.689145\pi\)
\(38\) −1.01864 + 1.70370i −0.165245 + 0.276376i
\(39\) 0.160680i 0.0257293i
\(40\) 2.95223 + 5.59324i 0.466789 + 0.884369i
\(41\) 3.35633i 0.524171i 0.965045 + 0.262086i \(0.0844103\pi\)
−0.965045 + 0.262086i \(0.915590\pi\)
\(42\) −5.48170 3.27751i −0.845845 0.505730i
\(43\) 5.68196 + 5.68196i 0.866491 + 0.866491i 0.992082 0.125591i \(-0.0400826\pi\)
−0.125591 + 0.992082i \(0.540083\pi\)
\(44\) 2.80414 9.31696i 0.422740 1.40458i
\(45\) 0.561697 2.16437i 0.0837328 0.322645i
\(46\) 2.76273 + 10.9787i 0.407342 + 1.61873i
\(47\) 9.10261i 1.32775i −0.747842 0.663876i \(-0.768910\pi\)
0.747842 0.663876i \(-0.231090\pi\)
\(48\) −0.797427 3.91971i −0.115099 0.565761i
\(49\) 13.3956 1.91365
\(50\) 1.82679 6.83102i 0.258348 0.966052i
\(51\) −3.55890 3.55890i −0.498346 0.498346i
\(52\) 0.0926163 0.307724i 0.0128436 0.0426736i
\(53\) 3.27113 + 3.27113i 0.449324 + 0.449324i 0.895130 0.445806i \(-0.147083\pi\)
−0.445806 + 0.895130i \(0.647083\pi\)
\(54\) −0.725731 + 1.21380i −0.0987595 + 0.165177i
\(55\) −9.37767 + 5.51320i −1.26449 + 0.743399i
\(56\) 8.60906 + 9.43655i 1.15043 + 1.26101i
\(57\) −1.40360 −0.185912
\(58\) −1.04401 + 1.74614i −0.137086 + 0.229279i
\(59\) −5.30843 + 5.30843i −0.691098 + 0.691098i −0.962474 0.271375i \(-0.912522\pi\)
0.271375 + 0.962474i \(0.412522\pi\)
\(60\) −2.32328 + 3.82131i −0.299934 + 0.493329i
\(61\) −5.87487 5.87487i −0.752199 0.752199i 0.222690 0.974889i \(-0.428516\pi\)
−0.974889 + 0.222690i \(0.928516\pi\)
\(62\) 2.21806 + 8.81431i 0.281694 + 1.11942i
\(63\) 4.51614i 0.568981i
\(64\) −0.732149 + 7.96643i −0.0915186 + 0.995803i
\(65\) −0.309729 + 0.182092i −0.0384172 + 0.0225857i
\(66\) 6.67200 1.67896i 0.821266 0.206666i
\(67\) −1.87639 + 1.87639i −0.229238 + 0.229238i −0.812374 0.583137i \(-0.801825\pi\)
0.583137 + 0.812374i \(0.301825\pi\)
\(68\) 4.76443 + 8.86716i 0.577772 + 1.07530i
\(69\) −5.66051 + 5.66051i −0.681445 + 0.681445i
\(70\) 0.105584 14.2809i 0.0126197 1.70690i
\(71\) 0.635312i 0.0753977i −0.999289 0.0376988i \(-0.987997\pi\)
0.999289 0.0376988i \(-0.0120028\pi\)
\(72\) 2.08952 1.90629i 0.246252 0.224658i
\(73\) 6.14208 0.718876 0.359438 0.933169i \(-0.382968\pi\)
0.359438 + 0.933169i \(0.382968\pi\)
\(74\) 1.67765 2.80590i 0.195023 0.326180i
\(75\) 4.80863 1.37006i 0.555253 0.158201i
\(76\) 2.68810 + 0.809042i 0.308346 + 0.0928035i
\(77\) −15.5355 + 15.5355i −1.77044 + 1.77044i
\(78\) 0.220365 0.0554535i 0.0249514 0.00627887i
\(79\) 1.76500 0.198578 0.0992888 0.995059i \(-0.468343\pi\)
0.0992888 + 0.995059i \(0.468343\pi\)
\(80\) 6.65201 5.97919i 0.743718 0.668494i
\(81\) −1.00000 −0.111111
\(82\) 4.60307 1.15833i 0.508324 0.127916i
\(83\) −6.39170 + 6.39170i −0.701580 + 0.701580i −0.964750 0.263169i \(-0.915232\pi\)
0.263169 + 0.964750i \(0.415232\pi\)
\(84\) −2.60312 + 8.64905i −0.284024 + 0.943688i
\(85\) 2.82705 10.8934i 0.306636 1.18155i
\(86\) 5.83162 9.75352i 0.628840 1.05175i
\(87\) −1.43857 −0.154231
\(88\) −13.7456 0.630310i −1.46528 0.0671913i
\(89\) 0.579554i 0.0614326i 0.999528 + 0.0307163i \(0.00977884\pi\)
−0.999528 + 0.0307163i \(0.990221\pi\)
\(90\) −3.16219 0.0233792i −0.333324 0.00246439i
\(91\) −0.513114 + 0.513114i −0.0537889 + 0.0537889i
\(92\) 14.1034 7.57793i 1.47038 0.790053i
\(93\) −4.54455 + 4.54455i −0.471248 + 0.471248i
\(94\) −12.4838 + 3.14148i −1.28761 + 0.324019i
\(95\) −1.59065 2.70562i −0.163197 0.277590i
\(96\) −5.10050 + 2.44640i −0.520568 + 0.249685i
\(97\) 15.2769i 1.55113i −0.631265 0.775567i \(-0.717464\pi\)
0.631265 0.775567i \(-0.282536\pi\)
\(98\) −4.62305 18.3714i −0.466999 1.85580i
\(99\) 3.44000 + 3.44000i 0.345733 + 0.345733i
\(100\) −9.99891 0.147859i −0.999891 0.0147859i
\(101\) −2.60639 + 2.60639i −0.259346 + 0.259346i −0.824788 0.565442i \(-0.808706\pi\)
0.565442 + 0.824788i \(0.308706\pi\)
\(102\) −3.65264 + 6.10913i −0.361665 + 0.604894i
\(103\) −9.26272 −0.912683 −0.456341 0.889805i \(-0.650840\pi\)
−0.456341 + 0.889805i \(0.650840\pi\)
\(104\) −0.453994 0.0208181i −0.0445177 0.00204138i
\(105\) 8.70541 5.11797i 0.849561 0.499463i
\(106\) 3.35729 5.61514i 0.326089 0.545391i
\(107\) 4.72776 + 4.72776i 0.457050 + 0.457050i 0.897686 0.440636i \(-0.145247\pi\)
−0.440636 + 0.897686i \(0.645247\pi\)
\(108\) 1.91514 + 0.576403i 0.184284 + 0.0554644i
\(109\) 0.160713 + 0.160713i 0.0153935 + 0.0153935i 0.714762 0.699368i \(-0.246535\pi\)
−0.699368 + 0.714762i \(0.746535\pi\)
\(110\) 10.7975 + 10.9584i 1.02950 + 1.04484i
\(111\) 2.31167 0.219414
\(112\) 9.97068 15.0637i 0.942141 1.42338i
\(113\) 1.02489i 0.0964131i −0.998837 0.0482066i \(-0.984649\pi\)
0.998837 0.0482066i \(-0.0153506\pi\)
\(114\) 0.484409 + 1.92498i 0.0453691 + 0.180291i
\(115\) −17.3261 4.49648i −1.61567 0.419298i
\(116\) 2.75506 + 0.829197i 0.255801 + 0.0769890i
\(117\) 0.113618 + 0.113618i 0.0105040 + 0.0105040i
\(118\) 9.11231 + 5.44824i 0.838856 + 0.501551i
\(119\) 22.7300i 2.08365i
\(120\) 6.04256 + 1.86747i 0.551608 + 0.170476i
\(121\) 12.6672i 1.15157i
\(122\) −6.02960 + 10.0846i −0.545894 + 0.913021i
\(123\) 2.37329 + 2.37329i 0.213992 + 0.213992i
\(124\) 11.3229 6.08396i 1.01683 0.546355i
\(125\) 8.09039 + 7.71658i 0.723626 + 0.690192i
\(126\) −6.19370 + 1.55860i −0.551778 + 0.138851i
\(127\) 9.29167i 0.824502i 0.911070 + 0.412251i \(0.135257\pi\)
−0.911070 + 0.412251i \(0.864743\pi\)
\(128\) 11.1783 1.74525i 0.988030 0.154260i
\(129\) 8.03551 0.707487
\(130\) 0.356624 + 0.361937i 0.0312780 + 0.0317440i
\(131\) −4.53759 4.53759i −0.396451 0.396451i 0.480528 0.876979i \(-0.340445\pi\)
−0.876979 + 0.480528i \(0.840445\pi\)
\(132\) −4.60525 8.57091i −0.400836 0.746002i
\(133\) −4.48226 4.48226i −0.388662 0.388662i
\(134\) 3.22096 + 1.92581i 0.278249 + 0.166365i
\(135\) −1.13326 1.92762i −0.0975356 0.165903i
\(136\) 10.5166 9.59443i 0.901794 0.822716i
\(137\) 0.448842 0.0383471 0.0191736 0.999816i \(-0.493896\pi\)
0.0191736 + 0.999816i \(0.493896\pi\)
\(138\) 9.71668 + 5.80960i 0.827139 + 0.494546i
\(139\) −5.12669 + 5.12669i −0.434840 + 0.434840i −0.890271 0.455431i \(-0.849485\pi\)
0.455431 + 0.890271i \(0.349485\pi\)
\(140\) −19.6221 + 4.78380i −1.65837 + 0.404305i
\(141\) −6.43652 6.43652i −0.542053 0.542053i
\(142\) −0.871303 + 0.219258i −0.0731181 + 0.0183997i
\(143\) 0.781690i 0.0653682i
\(144\) −3.33552 2.20779i −0.277960 0.183982i
\(145\) −1.63028 2.77302i −0.135387 0.230287i
\(146\) −2.11974 8.42360i −0.175431 0.697142i
\(147\) 9.47209 9.47209i 0.781245 0.781245i
\(148\) −4.42716 1.33245i −0.363911 0.109527i
\(149\) 4.56510 4.56510i 0.373988 0.373988i −0.494940 0.868927i \(-0.664810\pi\)
0.868927 + 0.494940i \(0.164810\pi\)
\(150\) −3.53852 6.12200i −0.288919 0.499859i
\(151\) 6.84317i 0.556890i −0.960452 0.278445i \(-0.910181\pi\)
0.960452 0.278445i \(-0.0898189\pi\)
\(152\) 0.181855 3.96582i 0.0147504 0.321671i
\(153\) −5.03305 −0.406898
\(154\) 26.6679 + 15.9447i 2.14896 + 1.28486i
\(155\) −13.9103 3.61001i −1.11730 0.289963i
\(156\) −0.152104 0.283083i −0.0121781 0.0226648i
\(157\) −1.85978 + 1.85978i −0.148426 + 0.148426i −0.777415 0.628988i \(-0.783469\pi\)
0.628988 + 0.777415i \(0.283469\pi\)
\(158\) −0.609132 2.42062i −0.0484600 0.192574i
\(159\) 4.62608 0.366872
\(160\) −10.4959 7.05942i −0.829776 0.558096i
\(161\) −36.1525 −2.84922
\(162\) 0.345118 + 1.37146i 0.0271150 + 0.107752i
\(163\) 9.43033 9.43033i 0.738641 0.738641i −0.233674 0.972315i \(-0.575075\pi\)
0.972315 + 0.233674i \(0.0750750\pi\)
\(164\) −3.17720 5.91314i −0.248098 0.461739i
\(165\) −2.73260 + 10.5294i −0.212732 + 0.819715i
\(166\) 10.9718 + 6.56005i 0.851580 + 0.509159i
\(167\) 21.2570 1.64492 0.822459 0.568824i \(-0.192602\pi\)
0.822459 + 0.568824i \(0.192602\pi\)
\(168\) 12.7602 + 0.585125i 0.984469 + 0.0451434i
\(169\) 12.9742i 0.998014i
\(170\) −15.9155 0.117669i −1.22066 0.00902479i
\(171\) −0.992498 + 0.992498i −0.0758982 + 0.0758982i
\(172\) −15.3891 4.63170i −1.17341 0.353164i
\(173\) 3.90989 3.90989i 0.297263 0.297263i −0.542678 0.839941i \(-0.682590\pi\)
0.839941 + 0.542678i \(0.182590\pi\)
\(174\) 0.496477 + 1.97294i 0.0376378 + 0.149568i
\(175\) 19.7310 + 10.9807i 1.49152 + 0.830065i
\(176\) 3.87940 + 19.0690i 0.292421 + 1.43738i
\(177\) 7.50725i 0.564279i
\(178\) 0.794834 0.200015i 0.0595753 0.0149917i
\(179\) 16.8281 + 16.8281i 1.25779 + 1.25779i 0.952144 + 0.305651i \(0.0988740\pi\)
0.305651 + 0.952144i \(0.401126\pi\)
\(180\) 1.05927 + 4.34488i 0.0789530 + 0.323848i
\(181\) −10.4003 + 10.4003i −0.773050 + 0.773050i −0.978639 0.205588i \(-0.934089\pi\)
0.205588 + 0.978639i \(0.434089\pi\)
\(182\) 0.880798 + 0.526628i 0.0652891 + 0.0390363i
\(183\) −8.30831 −0.614168
\(184\) −15.2601 16.7269i −1.12499 1.23312i
\(185\) 2.61972 + 4.45601i 0.192606 + 0.327613i
\(186\) 7.80106 + 4.66425i 0.572002 + 0.341999i
\(187\) 17.3137 + 17.3137i 1.26610 + 1.26610i
\(188\) 8.61680 + 16.0369i 0.628445 + 1.16961i
\(189\) −3.19340 3.19340i −0.232285 0.232285i
\(190\) −3.16167 + 3.11526i −0.229372 + 0.226005i
\(191\) 20.8245 1.50681 0.753404 0.657558i \(-0.228411\pi\)
0.753404 + 0.657558i \(0.228411\pi\)
\(192\) 5.11541 + 6.15082i 0.369173 + 0.443897i
\(193\) 5.82531i 0.419315i −0.977775 0.209657i \(-0.932765\pi\)
0.977775 0.209657i \(-0.0672349\pi\)
\(194\) −20.9516 + 5.27234i −1.50424 + 0.378532i
\(195\) −0.0902532 + 0.347770i −0.00646317 + 0.0249043i
\(196\) −23.6001 + 12.6806i −1.68572 + 0.905760i
\(197\) −11.0656 11.0656i −0.788391 0.788391i 0.192839 0.981230i \(-0.438230\pi\)
−0.981230 + 0.192839i \(0.938230\pi\)
\(198\) 3.53061 5.90502i 0.250909 0.419652i
\(199\) 7.04564i 0.499452i −0.968317 0.249726i \(-0.919659\pi\)
0.968317 0.249726i \(-0.0803406\pi\)
\(200\) 3.24802 + 13.7641i 0.229670 + 0.973269i
\(201\) 2.65362i 0.187172i
\(202\) 4.47407 + 2.67504i 0.314794 + 0.188215i
\(203\) −4.59393 4.59393i −0.322430 0.322430i
\(204\) 9.63899 + 2.90107i 0.674865 + 0.203115i
\(205\) −1.88524 + 7.26435i −0.131671 + 0.507364i
\(206\) 3.19673 + 12.7034i 0.222727 + 0.885089i
\(207\) 8.00517i 0.556398i
\(208\) 0.128130 + 0.629817i 0.00888424 + 0.0436700i
\(209\) 6.82839 0.472329
\(210\) −10.0235 10.1728i −0.691685 0.701989i
\(211\) 0.158025 + 0.158025i 0.0108789 + 0.0108789i 0.712525 0.701646i \(-0.247551\pi\)
−0.701646 + 0.712525i \(0.747551\pi\)
\(212\) −8.85958 2.66649i −0.608479 0.183135i
\(213\) −0.449234 0.449234i −0.0307810 0.0307810i
\(214\) 4.85229 8.11556i 0.331695 0.554768i
\(215\) 9.10633 + 15.4894i 0.621047 + 1.05637i
\(216\) 0.129563 2.82546i 0.00881564 0.192248i
\(217\) −29.0251 −1.97035
\(218\) 0.164946 0.275876i 0.0111715 0.0186847i
\(219\) 4.34311 4.34311i 0.293480 0.293480i
\(220\) 11.3025 18.5903i 0.762015 1.25336i
\(221\) 0.571843 + 0.571843i 0.0384663 + 0.0384663i
\(222\) −0.797798 3.17035i −0.0535447 0.212780i
\(223\) 8.38138i 0.561259i −0.959816 0.280629i \(-0.909457\pi\)
0.959816 0.280629i \(-0.0905432\pi\)
\(224\) −24.1003 8.47561i −1.61027 0.566300i
\(225\) 2.43144 4.36899i 0.162096 0.291266i
\(226\) −1.40559 + 0.353707i −0.0934982 + 0.0235282i
\(227\) 6.73568 6.73568i 0.447063 0.447063i −0.447314 0.894377i \(-0.647619\pi\)
0.894377 + 0.447314i \(0.147619\pi\)
\(228\) 2.47285 1.32869i 0.163769 0.0879948i
\(229\) −13.6770 + 13.6770i −0.903800 + 0.903800i −0.995762 0.0919626i \(-0.970686\pi\)
0.0919626 + 0.995762i \(0.470686\pi\)
\(230\) −0.187155 + 25.3139i −0.0123406 + 1.66915i
\(231\) 21.9706i 1.44556i
\(232\) 0.186385 4.06462i 0.0122368 0.266855i
\(233\) −1.62741 −0.106615 −0.0533077 0.998578i \(-0.516976\pi\)
−0.0533077 + 0.998578i \(0.516976\pi\)
\(234\) 0.116610 0.195033i 0.00762304 0.0127497i
\(235\) 5.11291 19.7014i 0.333529 1.28518i
\(236\) 4.32720 14.3774i 0.281677 0.935891i
\(237\) 1.24804 1.24804i 0.0810690 0.0810690i
\(238\) −31.1732 + 7.84453i −2.02066 + 0.508485i
\(239\) −12.6908 −0.820902 −0.410451 0.911883i \(-0.634629\pi\)
−0.410451 + 0.911883i \(0.634629\pi\)
\(240\) 0.475760 8.93161i 0.0307102 0.576533i
\(241\) 21.1033 1.35938 0.679692 0.733498i \(-0.262114\pi\)
0.679692 + 0.733498i \(0.262114\pi\)
\(242\) −17.3725 + 4.37169i −1.11675 + 0.281023i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 15.9116 + 4.78894i 1.01863 + 0.306581i
\(245\) 28.9930 + 7.52424i 1.85229 + 0.480706i
\(246\) 2.43579 4.07392i 0.155301 0.259744i
\(247\) 0.225531 0.0143502
\(248\) −12.2516 13.4292i −0.777980 0.852758i
\(249\) 9.03923i 0.572838i
\(250\) 7.79082 13.7587i 0.492735 0.870180i
\(251\) 17.4935 17.4935i 1.10418 1.10418i 0.110282 0.993900i \(-0.464824\pi\)
0.993900 0.110282i \(-0.0351755\pi\)
\(252\) 4.27512 + 7.95648i 0.269307 + 0.501211i
\(253\) 27.5378 27.5378i 1.73129 1.73129i
\(254\) 12.7431 3.20672i 0.799574 0.201208i
\(255\) −5.70376 9.70181i −0.357183 0.607551i
\(256\) −6.25136 14.7282i −0.390710 0.920514i
\(257\) 7.80177i 0.486661i 0.969943 + 0.243331i \(0.0782400\pi\)
−0.969943 + 0.243331i \(0.921760\pi\)
\(258\) −2.77320 11.0204i −0.172652 0.686097i
\(259\) 7.38207 + 7.38207i 0.458699 + 0.458699i
\(260\) 0.373303 0.614006i 0.0231513 0.0380790i
\(261\) −1.01722 + 1.01722i −0.0629645 + 0.0629645i
\(262\) −4.65710 + 7.78911i −0.287717 + 0.481213i
\(263\) 11.9238 0.735252 0.367626 0.929974i \(-0.380171\pi\)
0.367626 + 0.929974i \(0.380171\pi\)
\(264\) −10.1653 + 9.27388i −0.625630 + 0.570768i
\(265\) 5.24255 + 8.91732i 0.322047 + 0.547787i
\(266\) −4.60032 + 7.69414i −0.282064 + 0.471758i
\(267\) 0.409807 + 0.409807i 0.0250798 + 0.0250798i
\(268\) 1.52955 5.08205i 0.0934324 0.310435i
\(269\) −8.24368 8.24368i −0.502626 0.502626i 0.409627 0.912253i \(-0.365659\pi\)
−0.912253 + 0.409627i \(0.865659\pi\)
\(270\) −2.25254 + 2.21948i −0.137085 + 0.135073i
\(271\) −26.8960 −1.63381 −0.816907 0.576770i \(-0.804313\pi\)
−0.816907 + 0.576770i \(0.804313\pi\)
\(272\) −16.7878 11.1119i −1.01791 0.673758i
\(273\) 0.725652i 0.0439185i
\(274\) −0.154903 0.615567i −0.00935806 0.0371878i
\(275\) −23.3935 + 6.66519i −1.41068 + 0.401926i
\(276\) 4.61421 15.3310i 0.277743 0.922818i
\(277\) −15.8294 15.8294i −0.951099 0.951099i 0.0477597 0.998859i \(-0.484792\pi\)
−0.998859 + 0.0477597i \(0.984792\pi\)
\(278\) 8.80035 + 5.26172i 0.527810 + 0.315577i
\(279\) 6.42697i 0.384772i
\(280\) 13.3327 + 25.2599i 0.796782 + 1.50957i
\(281\) 27.8550i 1.66169i 0.556503 + 0.830845i \(0.312143\pi\)
−0.556503 + 0.830845i \(0.687857\pi\)
\(282\) −6.60605 + 11.0488i −0.393384 + 0.657945i
\(283\) 2.62285 + 2.62285i 0.155913 + 0.155913i 0.780753 0.624840i \(-0.214836\pi\)
−0.624840 + 0.780753i \(0.714836\pi\)
\(284\) 0.601405 + 1.11928i 0.0356868 + 0.0664173i
\(285\) −3.03792 0.788400i −0.179951 0.0467008i
\(286\) −1.07205 + 0.269775i −0.0633919 + 0.0159522i
\(287\) 15.1577i 0.894730i
\(288\) −1.87673 + 5.33647i −0.110588 + 0.314454i
\(289\) −8.33160 −0.490094
\(290\) −3.24043 + 3.19287i −0.190285 + 0.187492i
\(291\) −10.8024 10.8024i −0.633248 0.633248i
\(292\) −10.8210 + 5.81428i −0.633253 + 0.340255i
\(293\) 7.75559 + 7.75559i 0.453086 + 0.453086i 0.896378 0.443291i \(-0.146189\pi\)
−0.443291 + 0.896378i \(0.646189\pi\)
\(294\) −16.2596 9.72157i −0.948277 0.566974i
\(295\) −14.4711 + 8.50767i −0.842541 + 0.495336i
\(296\) −0.299506 + 6.53152i −0.0174084 + 0.379637i
\(297\) 4.86490 0.282290
\(298\) −7.83634 4.68534i −0.453947 0.271414i
\(299\) 0.909528 0.909528i 0.0525994 0.0525994i
\(300\) −7.17485 + 6.96574i −0.414240 + 0.402167i
\(301\) 25.6606 + 25.6606i 1.47905 + 1.47905i
\(302\) −9.38512 + 2.36170i −0.540053 + 0.135901i
\(303\) 3.68600i 0.211755i
\(304\) −5.50172 + 1.11927i −0.315545 + 0.0641946i
\(305\) −9.41549 16.0153i −0.539129 0.917032i
\(306\) 1.73700 + 6.90261i 0.0992975 + 0.394596i
\(307\) −2.60764 + 2.60764i −0.148826 + 0.148826i −0.777593 0.628767i \(-0.783560\pi\)
0.628767 + 0.777593i \(0.283560\pi\)
\(308\) 12.6639 42.0767i 0.721594 2.39754i
\(309\) −6.54973 + 6.54973i −0.372601 + 0.372601i
\(310\) −0.150258 + 20.3233i −0.00853406 + 1.15429i
\(311\) 20.1642i 1.14340i −0.820461 0.571702i \(-0.806283\pi\)
0.820461 0.571702i \(-0.193717\pi\)
\(312\) −0.335743 + 0.306301i −0.0190077 + 0.0173409i
\(313\) 23.2572 1.31457 0.657286 0.753641i \(-0.271704\pi\)
0.657286 + 0.753641i \(0.271704\pi\)
\(314\) 3.19245 + 1.90876i 0.180160 + 0.107718i
\(315\) 2.53670 9.77461i 0.142927 0.550737i
\(316\) −3.10955 + 1.67080i −0.174926 + 0.0939897i
\(317\) 17.1360 17.1360i 0.962451 0.962451i −0.0368693 0.999320i \(-0.511739\pi\)
0.999320 + 0.0368693i \(0.0117385\pi\)
\(318\) −1.59654 6.34446i −0.0895297 0.355780i
\(319\) 6.99850 0.391841
\(320\) −6.05936 + 16.8310i −0.338728 + 0.940884i
\(321\) 6.68607 0.373180
\(322\) 12.4769 + 49.5816i 0.695309 + 2.76307i
\(323\) −4.99529 + 4.99529i −0.277945 + 0.277945i
\(324\) 1.76179 0.946629i 0.0978770 0.0525905i
\(325\) −0.772649 + 0.220140i −0.0428589 + 0.0122112i
\(326\) −16.1879 9.67871i −0.896563 0.536054i
\(327\) 0.227282 0.0125687
\(328\) −7.01311 + 6.39813i −0.387234 + 0.353278i
\(329\) 41.1087i 2.26640i
\(330\) 15.3837 + 0.113738i 0.846847 + 0.00626105i
\(331\) −2.06668 + 2.06668i −0.113595 + 0.113595i −0.761619 0.648025i \(-0.775595\pi\)
0.648025 + 0.761619i \(0.275595\pi\)
\(332\) 5.21024 17.3114i 0.285949 0.950086i
\(333\) 1.63459 1.63459i 0.0895752 0.0895752i
\(334\) −7.33619 29.1531i −0.401418 1.59519i
\(335\) −5.11517 + 3.00724i −0.279471 + 0.164303i
\(336\) −3.60130 17.7020i −0.196467 0.965722i
\(337\) 35.2657i 1.92105i 0.278201 + 0.960523i \(0.410262\pi\)
−0.278201 + 0.960523i \(0.589738\pi\)
\(338\) 17.7935 4.47763i 0.967840 0.243551i
\(339\) −0.724704 0.724704i −0.0393605 0.0393605i
\(340\) 5.33134 + 21.8680i 0.289132 + 1.18596i
\(341\) 22.1088 22.1088i 1.19726 1.19726i
\(342\) 1.70370 + 1.01864i 0.0921254 + 0.0550817i
\(343\) 28.8833 1.55955
\(344\) −1.04110 + 22.7040i −0.0561326 + 1.22412i
\(345\) −15.4309 + 9.07194i −0.830773 + 0.488417i
\(346\) −6.71161 4.01287i −0.360818 0.215733i
\(347\) 2.03686 + 2.03686i 0.109344 + 0.109344i 0.759662 0.650318i \(-0.225364\pi\)
−0.650318 + 0.759662i \(0.725364\pi\)
\(348\) 2.53445 1.36179i 0.135861 0.0729998i
\(349\) −19.7731 19.7731i −1.05843 1.05843i −0.998184 0.0602455i \(-0.980812\pi\)
−0.0602455 0.998184i \(-0.519188\pi\)
\(350\) 8.25006 30.8499i 0.440984 1.64900i
\(351\) 0.160680 0.00857644
\(352\) 24.8134 11.9015i 1.32256 0.634351i
\(353\) 10.5799i 0.563110i −0.959545 0.281555i \(-0.909150\pi\)
0.959545 0.281555i \(-0.0908502\pi\)
\(354\) 10.2959 2.59089i 0.547219 0.137704i
\(355\) 0.356853 1.37505i 0.0189398 0.0729801i
\(356\) −0.548623 1.02105i −0.0290770 0.0541156i
\(357\) −16.0725 16.0725i −0.850648 0.850648i
\(358\) 17.2714 28.8868i 0.912820 1.52671i
\(359\) 32.7257i 1.72719i −0.504183 0.863597i \(-0.668206\pi\)
0.504183 0.863597i \(-0.331794\pi\)
\(360\) 5.59324 2.95223i 0.294790 0.155596i
\(361\) 17.0299i 0.896310i
\(362\) 17.8529 + 10.6743i 0.938330 + 0.561026i
\(363\) −8.95708 8.95708i −0.470125 0.470125i
\(364\) 0.418269 1.38973i 0.0219232 0.0728414i
\(365\) 13.2937 + 3.44999i 0.695826 + 0.180581i
\(366\) 2.86735 + 11.3945i 0.149879 + 0.595600i
\(367\) 22.0267i 1.14978i −0.818230 0.574891i \(-0.805044\pi\)
0.818230 0.574891i \(-0.194956\pi\)
\(368\) −17.6737 + 26.7014i −0.921305 + 1.39191i
\(369\) 3.35633 0.174724
\(370\) 5.20712 5.13069i 0.270705 0.266732i
\(371\) 14.7729 + 14.7729i 0.766971 + 0.766971i
\(372\) 3.70453 12.3085i 0.192071 0.638168i
\(373\) 9.69407 + 9.69407i 0.501940 + 0.501940i 0.912040 0.410100i \(-0.134506\pi\)
−0.410100 + 0.912040i \(0.634506\pi\)
\(374\) 17.7697 29.7203i 0.918850 1.53680i
\(375\) 11.1772 0.264320i 0.577189 0.0136494i
\(376\) 19.0201 17.3522i 0.980884 0.894871i
\(377\) 0.231149 0.0119048
\(378\) −3.27751 + 5.48170i −0.168577 + 0.281948i
\(379\) −7.44766 + 7.44766i −0.382560 + 0.382560i −0.872024 0.489463i \(-0.837193\pi\)
0.489463 + 0.872024i \(0.337193\pi\)
\(380\) 5.36360 + 3.26096i 0.275147 + 0.167284i
\(381\) 6.57020 + 6.57020i 0.336602 + 0.336602i
\(382\) −7.18691 28.5599i −0.367714 1.46125i
\(383\) 7.30581i 0.373309i −0.982426 0.186655i \(-0.940235\pi\)
0.982426 0.186655i \(-0.0597645\pi\)
\(384\) 6.67017 9.13832i 0.340385 0.466338i
\(385\) −42.3509 + 24.8984i −2.15840 + 1.26894i
\(386\) −7.98916 + 2.01042i −0.406637 + 0.102328i
\(387\) 5.68196 5.68196i 0.288830 0.288830i
\(388\) 14.4616 + 26.9147i 0.734175 + 1.36638i
\(389\) −10.6571 + 10.6571i −0.540338 + 0.540338i −0.923628 0.383290i \(-0.874791\pi\)
0.383290 + 0.923628i \(0.374791\pi\)
\(390\) 0.508100 + 0.00375657i 0.0257286 + 0.000190221i
\(391\) 40.2904i 2.03757i
\(392\) 25.5358 + 27.9902i 1.28975 + 1.41372i
\(393\) −6.41712 −0.323701
\(394\) −11.3571 + 18.9949i −0.572160 + 0.956951i
\(395\) 3.82011 + 0.991393i 0.192210 + 0.0498824i
\(396\) −9.31696 2.80414i −0.468195 0.140913i
\(397\) −3.10102 + 3.10102i −0.155636 + 0.155636i −0.780630 0.624994i \(-0.785101\pi\)
0.624994 + 0.780630i \(0.285101\pi\)
\(398\) −9.66279 + 2.43158i −0.484352 + 0.121884i
\(399\) −6.33888 −0.317341
\(400\) 17.7559 9.20476i 0.887796 0.460238i
\(401\) −9.88608 −0.493687 −0.246844 0.969055i \(-0.579393\pi\)
−0.246844 + 0.969055i \(0.579393\pi\)
\(402\) 3.63932 0.915811i 0.181513 0.0456765i
\(403\) 0.730217 0.730217i 0.0363747 0.0363747i
\(404\) 2.12462 7.05920i 0.105704 0.351208i
\(405\) −2.16437 0.561697i −0.107548 0.0279109i
\(406\) −4.71492 + 7.88582i −0.233998 + 0.391367i
\(407\) −11.2460 −0.557444
\(408\) 0.652097 14.2207i 0.0322836 0.704028i
\(409\) 11.6903i 0.578048i −0.957322 0.289024i \(-0.906669\pi\)
0.957322 0.289024i \(-0.0933307\pi\)
\(410\) 10.6134 + 0.0784685i 0.524157 + 0.00387528i
\(411\) 0.317379 0.317379i 0.0156552 0.0156552i
\(412\) 16.3189 8.76836i 0.803976 0.431986i
\(413\) −23.9736 + 23.9736i −1.17966 + 1.17966i
\(414\) 10.9787 2.76273i 0.539576 0.135781i
\(415\) −17.4242 + 10.2438i −0.855321 + 0.502849i
\(416\) 0.819547 0.393086i 0.0401816 0.0192727i
\(417\) 7.25024i 0.355046i
\(418\) −2.35660 9.36484i −0.115265 0.458049i
\(419\) 5.66521 + 5.66521i 0.276764 + 0.276764i 0.831816 0.555052i \(-0.187302\pi\)
−0.555052 + 0.831816i \(0.687302\pi\)
\(420\) −10.4923 + 17.2576i −0.511970 + 0.842083i
\(421\) 19.7440 19.7440i 0.962263 0.962263i −0.0370502 0.999313i \(-0.511796\pi\)
0.999313 + 0.0370502i \(0.0117961\pi\)
\(422\) 0.162187 0.271261i 0.00789514 0.0132048i
\(423\) −9.10261 −0.442584
\(424\) −0.599368 + 13.0708i −0.0291079 + 0.634773i
\(425\) 12.2376 21.9894i 0.593609 1.06664i
\(426\) −0.461066 + 0.771143i −0.0223387 + 0.0373620i
\(427\) −26.5317 26.5317i −1.28396 1.28396i
\(428\) −12.8048 3.85387i −0.618941 0.186284i
\(429\) −0.552738 0.552738i −0.0266864 0.0266864i
\(430\) 18.1003 17.8346i 0.872874 0.860062i
\(431\) −10.8449 −0.522382 −0.261191 0.965287i \(-0.584115\pi\)
−0.261191 + 0.965287i \(0.584115\pi\)
\(432\) −3.91971 + 0.797427i −0.188587 + 0.0383662i
\(433\) 15.4885i 0.744330i 0.928167 + 0.372165i \(0.121384\pi\)
−0.928167 + 0.372165i \(0.878616\pi\)
\(434\) 10.0171 + 39.8067i 0.480836 + 1.91078i
\(435\) −3.11360 0.808040i −0.149286 0.0387426i
\(436\) −0.435277 0.131006i −0.0208460 0.00627407i
\(437\) 7.94511 + 7.94511i 0.380066 + 0.380066i
\(438\) −7.45527 4.45750i −0.356227 0.212988i
\(439\) 10.4685i 0.499633i 0.968293 + 0.249816i \(0.0803702\pi\)
−0.968293 + 0.249816i \(0.919630\pi\)
\(440\) −29.3964 9.08506i −1.40142 0.433113i
\(441\) 13.3956i 0.637884i
\(442\) 0.586905 0.981612i 0.0279162 0.0466905i
\(443\) −15.6375 15.6375i −0.742961 0.742961i 0.230186 0.973147i \(-0.426067\pi\)
−0.973147 + 0.230186i \(0.926067\pi\)
\(444\) −4.07266 + 2.18829i −0.193280 + 0.103852i
\(445\) −0.325534 + 1.25437i −0.0154318 + 0.0594628i
\(446\) −11.4947 + 2.89257i −0.544290 + 0.136967i
\(447\) 6.45603i 0.305360i
\(448\) −3.30649 + 35.9775i −0.156217 + 1.69978i
\(449\) 22.2119 1.04825 0.524123 0.851642i \(-0.324393\pi\)
0.524123 + 0.851642i \(0.324393\pi\)
\(450\) −6.83102 1.82679i −0.322017 0.0861159i
\(451\) −11.5458 11.5458i −0.543670 0.543670i
\(452\) 0.970187 + 1.80563i 0.0456337 + 0.0849297i
\(453\) −4.83885 4.83885i −0.227349 0.227349i
\(454\) −11.5623 6.91308i −0.542645 0.324447i
\(455\) −1.39878 + 0.822354i −0.0655759 + 0.0385525i
\(456\) −2.67567 2.93285i −0.125300 0.137343i
\(457\) −28.4752 −1.33201 −0.666006 0.745946i \(-0.731998\pi\)
−0.666006 + 0.745946i \(0.731998\pi\)
\(458\) 23.4776 + 14.0372i 1.09703 + 0.655916i
\(459\) −3.55890 + 3.55890i −0.166115 + 0.166115i
\(460\) 34.7815 8.47960i 1.62169 0.395363i
\(461\) 22.7778 + 22.7778i 1.06087 + 1.06087i 0.998023 + 0.0628456i \(0.0200176\pi\)
0.0628456 + 0.998023i \(0.479982\pi\)
\(462\) 30.1317 7.58245i 1.40185 0.352767i
\(463\) 24.5804i 1.14235i 0.820829 + 0.571174i \(0.193512\pi\)
−0.820829 + 0.571174i \(0.806488\pi\)
\(464\) −5.63877 + 1.14715i −0.261774 + 0.0532553i
\(465\) −12.3888 + 7.28343i −0.574515 + 0.337761i
\(466\) 0.561650 + 2.23193i 0.0260179 + 0.103392i
\(467\) 15.6837 15.6837i 0.725757 0.725757i −0.244015 0.969772i \(-0.578464\pi\)
0.969772 + 0.244015i \(0.0784645\pi\)
\(468\) −0.307724 0.0926163i −0.0142245 0.00428119i
\(469\) −8.47405 + 8.47405i −0.391295 + 0.391295i
\(470\) −28.7842 0.212812i −1.32772 0.00981629i
\(471\) 2.63012i 0.121190i
\(472\) −21.2114 0.972661i −0.976334 0.0447703i
\(473\) −39.0919 −1.79745
\(474\) −2.14236 1.28091i −0.0984017 0.0588343i
\(475\) −1.92302 6.74941i −0.0882342 0.309684i
\(476\) 21.5169 + 40.0454i 0.986224 + 1.83548i
\(477\) 3.27113 3.27113i 0.149775 0.149775i
\(478\) 4.37984 + 17.4049i 0.200329 + 0.796083i
\(479\) −9.45943 −0.432212 −0.216106 0.976370i \(-0.569336\pi\)
−0.216106 + 0.976370i \(0.569336\pi\)
\(480\) −12.4135 + 2.42998i −0.566597 + 0.110913i
\(481\) −0.371438 −0.0169361
\(482\) −7.28314 28.9423i −0.331738 1.31828i
\(483\) −25.5637 + 25.5637i −1.16319 + 1.16319i
\(484\) 11.9912 + 22.3169i 0.545053 + 1.01441i
\(485\) 8.58099 33.0649i 0.389643 1.50140i
\(486\) 1.21380 + 0.725731i 0.0550592 + 0.0329198i
\(487\) 9.95957 0.451311 0.225656 0.974207i \(-0.427548\pi\)
0.225656 + 0.974207i \(0.427548\pi\)
\(488\) 1.07645 23.4748i 0.0487286 1.06265i
\(489\) 13.3365i 0.603097i
\(490\) 0.313178 42.3593i 0.0141479 1.91360i
\(491\) 4.35184 4.35184i 0.196396 0.196396i −0.602057 0.798453i \(-0.705652\pi\)
0.798453 + 0.602057i \(0.205652\pi\)
\(492\) −6.42785 1.93460i −0.289790 0.0872186i
\(493\) −5.11973 + 5.11973i −0.230581 + 0.230581i
\(494\) −0.0778347 0.309305i −0.00350195 0.0139163i
\(495\) 5.51320 + 9.37767i 0.247800 + 0.421495i
\(496\) −14.1894 + 21.4373i −0.637121 + 0.962562i
\(497\) 2.86916i 0.128700i
\(498\) 12.3969 3.11960i 0.555519 0.139793i
\(499\) 3.09455 + 3.09455i 0.138531 + 0.138531i 0.772972 0.634440i \(-0.218769\pi\)
−0.634440 + 0.772972i \(0.718769\pi\)
\(500\) −21.5583 5.93637i −0.964116 0.265483i
\(501\) 15.0310 15.0310i 0.671535 0.671535i
\(502\) −30.0290 17.9543i −1.34026 0.801339i
\(503\) 5.84356 0.260552 0.130276 0.991478i \(-0.458414\pi\)
0.130276 + 0.991478i \(0.458414\pi\)
\(504\) 9.43655 8.60906i 0.420338 0.383478i
\(505\) −7.10520 + 4.17720i −0.316177 + 0.185883i
\(506\) −47.2707 28.2631i −2.10144 1.25645i
\(507\) 9.17413 + 9.17413i 0.407438 + 0.407438i
\(508\) −8.79576 16.3699i −0.390249 0.726298i
\(509\) 2.16459 + 2.16459i 0.0959436 + 0.0959436i 0.753449 0.657506i \(-0.228389\pi\)
−0.657506 + 0.753449i \(0.728389\pi\)
\(510\) −11.3371 + 11.1707i −0.502017 + 0.494648i
\(511\) 27.7385 1.22708
\(512\) −18.0417 + 13.6564i −0.797336 + 0.603536i
\(513\) 1.40360i 0.0619706i
\(514\) 10.6998 2.69253i 0.471948 0.118763i
\(515\) −20.0479 5.20284i −0.883418 0.229264i
\(516\) −14.1569 + 7.60665i −0.623221 + 0.334864i
\(517\) 31.3130 + 31.3130i 1.37714 + 1.37714i
\(518\) 7.57650 12.6719i 0.332892 0.556770i
\(519\) 5.52941i 0.242714i
\(520\) −0.970916 0.300065i −0.0425775 0.0131587i
\(521\) 4.80746i 0.210619i −0.994440 0.105309i \(-0.966417\pi\)
0.994440 0.105309i \(-0.0335833\pi\)
\(522\) 1.74614 + 1.04401i 0.0764264 + 0.0456953i
\(523\) −23.6204 23.6204i −1.03285 1.03285i −0.999442 0.0334047i \(-0.989365\pi\)
−0.0334047 0.999442i \(-0.510635\pi\)
\(524\) 12.2897 + 3.69885i 0.536877 + 0.161585i
\(525\) 21.7165 6.18738i 0.947785 0.270039i
\(526\) −4.11512 16.3530i −0.179428 0.713023i
\(527\) 32.3473i 1.40907i
\(528\) 16.2270 + 10.7407i 0.706187 + 0.467427i
\(529\) 41.0827 1.78620
\(530\) 10.4204 10.2675i 0.452634 0.445990i
\(531\) 5.30843 + 5.30843i 0.230366 + 0.230366i
\(532\) 12.1398 + 3.65375i 0.526329 + 0.158410i
\(533\) −0.381339 0.381339i −0.0165176 0.0165176i
\(534\) 0.420600 0.703464i 0.0182012 0.0304419i
\(535\) 7.57706 + 12.8882i 0.327585 + 0.557205i
\(536\) −7.49768 0.343810i −0.323851 0.0148503i
\(537\) 23.7986 1.02698
\(538\) −8.46080 + 14.1509i −0.364771 + 0.610088i
\(539\) −46.0808 + 46.0808i −1.98484 + 1.98484i
\(540\) 3.82131 + 2.32328i 0.164443 + 0.0999780i
\(541\) −22.9002 22.9002i −0.984558 0.984558i 0.0153248 0.999883i \(-0.495122\pi\)
−0.999883 + 0.0153248i \(0.995122\pi\)
\(542\) 9.28229 + 36.8866i 0.398708 + 1.58442i
\(543\) 14.7083i 0.631193i
\(544\) −9.44570 + 26.8587i −0.404981 + 1.15156i
\(545\) 0.257570 + 0.438114i 0.0110331 + 0.0187667i
\(546\) 0.995201 0.250436i 0.0425907 0.0107177i
\(547\) −24.1611 + 24.1611i −1.03306 + 1.03306i −0.0336209 + 0.999435i \(0.510704\pi\)
−0.999435 + 0.0336209i \(0.989296\pi\)
\(548\) −0.790764 + 0.424887i −0.0337797 + 0.0181503i
\(549\) −5.87487 + 5.87487i −0.250733 + 0.250733i
\(550\) 17.2145 + 29.7829i 0.734031 + 1.26995i
\(551\) 2.01918i 0.0860201i
\(552\) −22.6183 1.03717i −0.962697 0.0441450i
\(553\) 7.97098 0.338961
\(554\) −16.2464 + 27.1724i −0.690242 + 1.15445i
\(555\) 5.00330 + 1.29846i 0.212378 + 0.0551164i
\(556\) 4.17906 13.8852i 0.177232 0.588864i
\(557\) 4.87106 4.87106i 0.206393 0.206393i −0.596339 0.802733i \(-0.703379\pi\)
0.802733 + 0.596339i \(0.203379\pi\)
\(558\) 8.81431 2.21806i 0.373139 0.0938981i
\(559\) −1.29114 −0.0546095
\(560\) 30.0415 27.0029i 1.26948 1.14108i
\(561\) 24.4853 1.03377
\(562\) 38.2019 9.61327i 1.61145 0.405511i
\(563\) −1.64374 + 1.64374i −0.0692752 + 0.0692752i −0.740896 0.671620i \(-0.765599\pi\)
0.671620 + 0.740896i \(0.265599\pi\)
\(564\) 17.4328 + 5.24678i 0.734052 + 0.220929i
\(565\) 0.575675 2.21823i 0.0242188 0.0933217i
\(566\) 2.69194 4.50233i 0.113151 0.189247i
\(567\) −4.51614 −0.189660
\(568\) 1.32749 1.21109i 0.0557004 0.0508161i
\(569\) 30.0890i 1.26140i 0.776028 + 0.630699i \(0.217232\pi\)
−0.776028 + 0.630699i \(0.782768\pi\)
\(570\) −0.0328152 + 4.43846i −0.00137448 + 0.185907i
\(571\) 12.4422 12.4422i 0.520688 0.520688i −0.397091 0.917779i \(-0.629980\pi\)
0.917779 + 0.397091i \(0.129980\pi\)
\(572\) 0.739970 + 1.37717i 0.0309397 + 0.0575824i
\(573\) 14.7251 14.7251i 0.615151 0.615151i
\(574\) 20.7881 5.23119i 0.867679 0.218346i
\(575\) −34.9745 19.4641i −1.45854 0.811708i
\(576\) 7.96643 + 0.732149i 0.331934 + 0.0305062i
\(577\) 38.4529i 1.60081i −0.599457 0.800407i \(-0.704617\pi\)
0.599457 0.800407i \(-0.295383\pi\)
\(578\) 2.87539 + 11.4264i 0.119600 + 0.475277i
\(579\) −4.11912 4.11912i −0.171185 0.171185i
\(580\) 5.49722 + 3.34220i 0.228260 + 0.138777i
\(581\) −28.8659 + 28.8659i −1.19756 + 1.19756i
\(582\) −11.0869 + 18.5431i −0.459568 + 0.768638i
\(583\) −22.5054 −0.932078
\(584\) 11.7086 + 12.8340i 0.484504 + 0.531074i
\(585\) 0.182092 + 0.309729i 0.00752858 + 0.0128057i
\(586\) 7.95986 13.3131i 0.328819 0.549957i
\(587\) −20.0374 20.0374i −0.827031 0.827031i 0.160074 0.987105i \(-0.448827\pi\)
−0.987105 + 0.160074i \(0.948827\pi\)
\(588\) −7.72125 + 25.6544i −0.318419 + 1.05797i
\(589\) 6.37875 + 6.37875i 0.262832 + 0.262832i
\(590\) 16.6621 + 16.9104i 0.685970 + 0.696189i
\(591\) −15.6491 −0.643719
\(592\) 9.06106 1.84339i 0.372407 0.0757627i
\(593\) 39.5143i 1.62266i 0.584590 + 0.811329i \(0.301255\pi\)
−0.584590 + 0.811329i \(0.698745\pi\)
\(594\) −1.67896 6.67200i −0.0688887 0.273755i
\(595\) 12.7674 49.1961i 0.523411 2.01684i
\(596\) −3.72128 + 12.3642i −0.152429 + 0.506457i
\(597\) −4.98202 4.98202i −0.203901 0.203901i
\(598\) −1.56127 0.933484i −0.0638452 0.0381730i
\(599\) 46.6476i 1.90597i 0.303022 + 0.952984i \(0.402004\pi\)
−0.303022 + 0.952984i \(0.597996\pi\)
\(600\) 12.0294 + 7.43599i 0.491098 + 0.303573i
\(601\) 39.8224i 1.62439i 0.583386 + 0.812195i \(0.301727\pi\)
−0.583386 + 0.812195i \(0.698273\pi\)
\(602\) 26.3364 44.0483i 1.07339 1.79527i
\(603\) 1.87639 + 1.87639i 0.0764125 + 0.0764125i
\(604\) 6.47795 + 12.0562i 0.263584 + 0.490560i
\(605\) 7.11514 27.4165i 0.289271 1.11464i
\(606\) 5.05518 1.27210i 0.205353 0.0516757i
\(607\) 29.2165i 1.18586i −0.805254 0.592930i \(-0.797971\pi\)
0.805254 0.592930i \(-0.202029\pi\)
\(608\) 3.43378 + 7.15909i 0.139258 + 0.290339i
\(609\) −6.49679 −0.263263
\(610\) −18.7148 + 18.4401i −0.757740 + 0.746618i
\(611\) 1.03422 + 1.03422i 0.0418400 + 0.0418400i
\(612\) 8.86716 4.76443i 0.358434 0.192591i
\(613\) −19.6885 19.6885i −0.795212 0.795212i 0.187124 0.982336i \(-0.440083\pi\)
−0.982336 + 0.187124i \(0.940083\pi\)
\(614\) 4.47622 + 2.67633i 0.180645 + 0.108008i
\(615\) 3.80360 + 6.46973i 0.153376 + 0.260885i
\(616\) −62.0769 2.84657i −2.50115 0.114692i
\(617\) −10.8873 −0.438306 −0.219153 0.975691i \(-0.570329\pi\)
−0.219153 + 0.975691i \(0.570329\pi\)
\(618\) 11.2431 + 6.72224i 0.452264 + 0.270408i
\(619\) 31.2108 31.2108i 1.25447 1.25447i 0.300773 0.953696i \(-0.402755\pi\)
0.953696 0.300773i \(-0.0972445\pi\)
\(620\) 27.9244 6.80787i 1.12147 0.273411i
\(621\) 5.66051 + 5.66051i 0.227148 + 0.227148i
\(622\) −27.6543 + 6.95902i −1.10884 + 0.279031i
\(623\) 2.61735i 0.104862i
\(624\) 0.535950 + 0.354746i 0.0214552 + 0.0142012i
\(625\) 13.1762 + 21.2459i 0.527048 + 0.849835i
\(626\) −8.02647 31.8962i −0.320802 1.27483i
\(627\) 4.82840 4.82840i 0.192828 0.192828i
\(628\) 1.51601 5.03705i 0.0604955 0.201000i
\(629\) 8.22700 8.22700i 0.328032 0.328032i
\(630\) −14.2809 0.105584i −0.568965 0.00420657i
\(631\) 15.8570i 0.631257i 0.948883 + 0.315629i \(0.102215\pi\)
−0.948883 + 0.315629i \(0.897785\pi\)
\(632\) 3.36459 + 3.68799i 0.133836 + 0.146700i
\(633\) 0.223481 0.00888257
\(634\) −29.4151 17.5873i −1.16822 0.698480i
\(635\) −5.21910 + 20.1106i −0.207114 + 0.798065i
\(636\) −8.15016 + 4.37918i −0.323175 + 0.173646i
\(637\) −1.52197 + 1.52197i −0.0603027 + 0.0603027i
\(638\) −2.41531 9.59813i −0.0956230 0.379994i
\(639\) −0.635312 −0.0251326
\(640\) 25.1742 + 2.50144i 0.995100 + 0.0988783i
\(641\) −10.9256 −0.431535 −0.215767 0.976445i \(-0.569225\pi\)
−0.215767 + 0.976445i \(0.569225\pi\)
\(642\) −2.30748 9.16965i −0.0910691 0.361897i
\(643\) 34.9865 34.9865i 1.37973 1.37973i 0.534675 0.845058i \(-0.320434\pi\)
0.845058 0.534675i \(-0.179566\pi\)
\(644\) 63.6930 34.2230i 2.50986 1.34858i
\(645\) 17.3918 + 4.51352i 0.684802 + 0.177720i
\(646\) 8.57479 + 5.12686i 0.337371 + 0.201714i
\(647\) 8.60364 0.338244 0.169122 0.985595i \(-0.445907\pi\)
0.169122 + 0.985595i \(0.445907\pi\)
\(648\) −1.90629 2.08952i −0.0748860 0.0820839i
\(649\) 36.5220i 1.43361i
\(650\) 0.568568 + 0.983680i 0.0223011 + 0.0385831i
\(651\) −20.5239 + 20.5239i −0.804393 + 0.804393i
\(652\) −7.68721 + 25.5413i −0.301054 + 1.00027i
\(653\) 9.44853 9.44853i 0.369750 0.369750i −0.497636 0.867386i \(-0.665799\pi\)
0.867386 + 0.497636i \(0.165799\pi\)
\(654\) −0.0784393 0.311708i −0.00306722 0.0121887i
\(655\) −7.27227 12.3698i −0.284151 0.483327i
\(656\) 11.1951 + 7.41006i 0.437096 + 0.289314i
\(657\) 6.14208i 0.239625i
\(658\) −56.3788 + 14.1874i −2.19788 + 0.553081i
\(659\) −4.77731 4.77731i −0.186098 0.186098i 0.607909 0.794007i \(-0.292009\pi\)
−0.794007 + 0.607909i \(0.792009\pi\)
\(660\) −5.15322 21.1374i −0.200589 0.822771i
\(661\) 14.2928 14.2928i 0.555927 0.555927i −0.372218 0.928145i \(-0.621403\pi\)
0.928145 + 0.372218i \(0.121403\pi\)
\(662\) 3.54761 + 2.12111i 0.137882 + 0.0824394i
\(663\) 0.808709 0.0314076
\(664\) −25.5400 1.17115i −0.991143 0.0454494i
\(665\) −7.18360 12.2189i −0.278568 0.473831i
\(666\) −2.80590 1.67765i −0.108727 0.0650075i
\(667\) 8.14304 + 8.14304i 0.315300 + 0.315300i
\(668\) −37.4504 + 20.1225i −1.44900 + 0.778564i
\(669\) −5.92653 5.92653i −0.229133 0.229133i
\(670\) 5.88964 + 5.97737i 0.227537 + 0.230926i
\(671\) 40.4191 1.56036
\(672\) −23.0346 + 11.0483i −0.888579 + 0.426197i
\(673\) 19.6076i 0.755818i 0.925843 + 0.377909i \(0.123357\pi\)
−0.925843 + 0.377909i \(0.876643\pi\)
\(674\) 48.3654 12.1708i 1.86297 0.468803i
\(675\) −1.37006 4.80863i −0.0527336 0.185084i
\(676\) −12.2817 22.8577i −0.472375 0.879144i
\(677\) −1.22231 1.22231i −0.0469773 0.0469773i 0.683228 0.730205i \(-0.260576\pi\)
−0.730205 + 0.683228i \(0.760576\pi\)
\(678\) −0.743791 + 1.24401i −0.0285651 + 0.0477758i
\(679\) 68.9927i 2.64770i
\(680\) 28.1511 14.8587i 1.07954 0.569807i
\(681\) 9.52569i 0.365025i
\(682\) −37.9514 22.6911i −1.45323 0.868887i
\(683\) 27.1537 + 27.1537i 1.03901 + 1.03901i 0.999208 + 0.0398011i \(0.0126724\pi\)
0.0398011 + 0.999208i \(0.487328\pi\)
\(684\) 0.809042 2.68810i 0.0309345 0.102782i
\(685\) 0.971460 + 0.252113i 0.0371176 + 0.00963274i
\(686\) −9.96815 39.6122i −0.380586 1.51240i
\(687\) 19.3422i 0.737950i
\(688\) 31.4969 6.40773i 1.20081 0.244293i
\(689\) −0.743316 −0.0283181
\(690\) 17.7673 + 18.0319i 0.676388 + 0.686464i
\(691\) 14.8065 + 14.8065i 0.563266 + 0.563266i 0.930234 0.366968i \(-0.119604\pi\)
−0.366968 + 0.930234i \(0.619604\pi\)
\(692\) −3.18717 + 10.5896i −0.121158 + 0.402556i
\(693\) 15.5355 + 15.5355i 0.590147 + 0.590147i
\(694\) 2.09051 3.49643i 0.0793547 0.132723i
\(695\) −13.9757 + 8.21641i −0.530129 + 0.311666i
\(696\) −2.74233 3.00591i −0.103948 0.113939i
\(697\) 16.8926 0.639853
\(698\) −20.2939 + 33.9420i −0.768135 + 1.28472i
\(699\) −1.15076 + 1.15076i −0.0435256 + 0.0435256i
\(700\) −45.1565 0.667754i −1.70676 0.0252387i
\(701\) −0.259714 0.259714i −0.00980927 0.00980927i 0.702185 0.711994i \(-0.252208\pi\)
−0.711994 + 0.702185i \(0.752208\pi\)
\(702\) −0.0554535 0.220365i −0.00209296 0.00831715i
\(703\) 3.24466i 0.122375i
\(704\) −24.8859 29.9231i −0.937924 1.12777i
\(705\) −10.3156 17.5464i −0.388509 0.660835i
\(706\) −14.5098 + 3.65131i −0.546085 + 0.137419i
\(707\) −11.7708 + 11.7708i −0.442688 + 0.442688i
\(708\) −7.10658 13.2262i −0.267082 0.497070i
\(709\) −16.6998 + 16.6998i −0.627173 + 0.627173i −0.947356 0.320183i \(-0.896256\pi\)
0.320183 + 0.947356i \(0.396256\pi\)
\(710\) −2.00898 0.0148531i −0.0753956 0.000557428i
\(711\) 1.76500i 0.0661925i
\(712\) −1.21099 + 1.10480i −0.0453837 + 0.0414040i
\(713\) 51.4489 1.92678
\(714\) −16.4959 + 27.5897i −0.617342 + 1.03252i
\(715\) 0.439073 1.69187i 0.0164204 0.0632722i
\(716\) −45.5776 13.7176i −1.70332 0.512650i
\(717\) −8.97378 + 8.97378i −0.335132 + 0.335132i
\(718\) −44.8818 + 11.2942i −1.67497 + 0.421496i
\(719\) 0.0356124 0.00132812 0.000664059 1.00000i \(-0.499789\pi\)
0.000664059 1.00000i \(0.499789\pi\)
\(720\) −5.97919 6.65201i −0.222831 0.247906i
\(721\) −41.8318 −1.55790
\(722\) −23.3558 + 5.87733i −0.869212 + 0.218731i
\(723\) 14.9223 14.9223i 0.554966 0.554966i
\(724\) 8.47791 28.1684i 0.315079 1.04687i
\(725\) −1.97093 6.91755i −0.0731983 0.256912i
\(726\) −9.19299 + 15.3755i −0.341184 + 0.570638i
\(727\) 35.1597 1.30400 0.652000 0.758219i \(-0.273930\pi\)
0.652000 + 0.758219i \(0.273930\pi\)
\(728\) −2.05030 0.0940176i −0.0759892 0.00348453i
\(729\) 1.00000i 0.0370370i
\(730\) 0.143597 19.4224i 0.00531477 0.718857i
\(731\) 28.5976 28.5976i 1.05772 1.05772i
\(732\) 14.6375 7.86489i 0.541017 0.290695i
\(733\) −27.9959 + 27.9959i −1.03405 + 1.03405i −0.0346524 + 0.999399i \(0.511032\pi\)
−0.999399 + 0.0346524i \(0.988968\pi\)
\(734\) −30.2086 + 7.60180i −1.11502 + 0.280588i
\(735\) 25.8216 15.1807i 0.952443 0.559947i
\(736\) 42.7193 + 15.0236i 1.57465 + 0.553776i
\(737\) 12.9096i 0.475530i
\(738\) −1.15833 4.60307i −0.0426388 0.169441i
\(739\) 22.3803 + 22.3803i 0.823274 + 0.823274i 0.986576 0.163302i \(-0.0522145\pi\)
−0.163302 + 0.986576i \(0.552215\pi\)
\(740\) −8.83358 5.37064i −0.324729 0.197429i
\(741\) 0.159474 0.159474i 0.00585843 0.00585843i
\(742\) 15.1620 25.3588i 0.556614 0.930950i
\(743\) 11.3806 0.417514 0.208757 0.977968i \(-0.433058\pi\)
0.208757 + 0.977968i \(0.433058\pi\)
\(744\) −18.1591 0.832697i −0.665746 0.0305281i
\(745\) 12.4448 7.31637i 0.455941 0.268051i
\(746\) 9.94940 16.6406i 0.364273 0.609256i
\(747\) 6.39170 + 6.39170i 0.233860 + 0.233860i
\(748\) −46.8927 14.1134i −1.71457 0.516037i
\(749\) 21.3513 + 21.3513i 0.780158 + 0.780158i
\(750\) −4.21996 15.2378i −0.154091 0.556407i
\(751\) 54.6781 1.99523 0.997616 0.0690113i \(-0.0219845\pi\)
0.997616 + 0.0690113i \(0.0219845\pi\)
\(752\) −30.3619 20.0966i −1.10719 0.732848i
\(753\) 24.7396i 0.901561i
\(754\) −0.0797737 0.317011i −0.00290519 0.0115448i
\(755\) 3.84379 14.8112i 0.139890 0.539033i
\(756\) 8.64905 + 2.60312i 0.314563 + 0.0946746i
\(757\) 32.3418 + 32.3418i 1.17548 + 1.17548i 0.980882 + 0.194602i \(0.0623416\pi\)
0.194602 + 0.980882i \(0.437658\pi\)
\(758\) 12.7845 + 7.64382i 0.464353 + 0.277636i
\(759\) 38.9443i 1.41359i
\(760\) 2.62119 8.48136i 0.0950806 0.307651i
\(761\) 0.392110i 0.0142140i −0.999975 0.00710700i \(-0.997738\pi\)
0.999975 0.00710700i \(-0.00226225\pi\)
\(762\) 6.74325 11.2782i 0.244282 0.408568i
\(763\) 0.725803 + 0.725803i 0.0262758 + 0.0262758i
\(764\) −36.6883 + 19.7131i −1.32734 + 0.713194i
\(765\) −10.8934 2.82705i −0.393851 0.102212i
\(766\) −10.0196 + 2.52137i −0.362023 + 0.0911007i
\(767\) 1.20626i 0.0435556i
\(768\) −14.8348 5.99404i −0.535305 0.216291i
\(769\) −4.36080 −0.157255 −0.0786273 0.996904i \(-0.525054\pi\)
−0.0786273 + 0.996904i \(0.525054\pi\)
\(770\) 48.7632 + 49.4896i 1.75730 + 1.78348i
\(771\) 5.51668 + 5.51668i 0.198679 + 0.198679i
\(772\) 5.51441 + 10.2630i 0.198468 + 0.369372i
\(773\) −17.2357 17.2357i −0.619923 0.619923i 0.325588 0.945512i \(-0.394438\pi\)
−0.945512 + 0.325588i \(0.894438\pi\)
\(774\) −9.75352 5.83162i −0.350583 0.209613i
\(775\) −28.0794 15.6268i −1.00864