Properties

Label 240.2.bl.a.109.13
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 109.13
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.345118 + 1.37146i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.76179 + 0.946629i) q^{4} +(-0.561697 - 2.16437i) q^{5} +(-1.21380 - 0.725731i) q^{6} -4.51614 q^{7} +(-1.90629 - 2.08952i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(0.345118 + 1.37146i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.76179 + 0.946629i) q^{4} +(-0.561697 - 2.16437i) q^{5} +(-1.21380 - 0.725731i) q^{6} -4.51614 q^{7} +(-1.90629 - 2.08952i) q^{8} -1.00000i q^{9} +(2.77449 - 1.51731i) 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} +(3.03845 + 3.28144i) 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} +(-0.888962 + 3.03476i) q^{30} -6.42697 q^{31} +(5.33647 + 1.87673i) q^{32} -4.86490i q^{33} +(-6.90261 + 1.73700i) q^{34} +(2.53670 + 9.77461i) q^{35} +(0.946629 + 1.76179i) q^{36} +(-1.63459 - 1.63459i) q^{37} +(1.01864 - 1.70370i) q^{38} +0.160680i q^{39} +(-3.45173 + 5.29958i) q^{40} +3.35633i q^{41} +(5.48170 + 3.27751i) q^{42} +(-5.68196 - 5.68196i) q^{43} +(2.80414 - 9.31696i) q^{44} +(-2.16437 + 0.561697i) q^{45} +(2.76273 + 10.9787i) q^{46} +9.10261i q^{47} +(0.797427 + 3.91971i) q^{48} +13.3956 q^{49} +(-4.84243 - 5.15275i) 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} +(-4.46883 - 0.171823i) 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} +(-12.5300 + 6.85237i) q^{70} -0.635312i q^{71} +(-2.08952 + 1.90629i) q^{72} -6.14208 q^{73} +(1.67765 - 2.80590i) q^{74} +(1.37006 - 4.80863i) q^{75} +(2.68810 + 0.809042i) q^{76} +(15.5355 - 15.5355i) q^{77} +(-0.220365 + 0.0554535i) q^{78} +1.76500 q^{79} +(-8.45940 - 2.90492i) q^{80} -1.00000 q^{81} +(-4.60307 + 1.15833i) q^{82} +(6.39170 - 6.39170i) q^{83} +(-2.60312 + 8.64905i) q^{84} +(10.8934 - 2.82705i) q^{85} +(5.83162 - 9.75352i) q^{86} +1.43857 q^{87} +(13.7456 + 0.630310i) q^{88} +0.579554i q^{89} +(-1.51731 - 2.77449i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + O(q^{10}) \) \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96} + O(q^{100}) \)

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
\(5\) −0.561697 2.16437i −0.251198 0.967936i
\(6\) −1.21380 0.725731i −0.495532 0.296278i
\(7\) −4.51614 −1.70694 −0.853471 0.521140i \(-0.825507\pi\)
−0.853471 + 0.521140i \(0.825507\pi\)
\(8\) −1.90629 2.08952i −0.673974 0.738755i
\(9\) 1.00000i 0.333333i
\(10\) 2.77449 1.51731i 0.877370 0.479814i
\(11\) −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 −0.691175 0.722687i \(-0.742907\pi\)
0.722687 + 0.691175i \(0.242907\pi\)
\(14\) −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 \(0.208970\pi\)
−0.792134 + 0.610347i \(0.791030\pi\)
\(18\) 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 \(0.801473\pi\)
\(20\) 3.03845 + 3.28144i 0.679417 + 0.733752i
\(21\) 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 \(-0.185701\pi\)
0.834596 + 0.550862i \(0.185701\pi\)
\(24\) 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 \(0.792643\pi\)
\(30\) −0.888962 + 3.03476i −0.162301 + 0.554068i
\(31\) −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
\(35\) 2.53670 + 9.77461i 0.428781 + 1.65221i
\(36\) 0.946629 + 1.76179i 0.157772 + 0.293631i
\(37\) −1.63459 1.63459i −0.268726 0.268726i 0.559861 0.828587i \(-0.310855\pi\)
−0.828587 + 0.559861i \(0.810855\pi\)
\(38\) 1.01864 1.70370i 0.165245 0.276376i
\(39\) 0.160680i 0.0257293i
\(40\) −3.45173 + 5.29958i −0.545766 + 0.837937i
\(41\) 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 0.125591 0.992082i \(-0.459917\pi\)
−0.992082 + 0.125591i \(0.959917\pi\)
\(44\) 2.80414 9.31696i 0.422740 1.40458i
\(45\) −2.16437 + 0.561697i −0.322645 + 0.0837328i
\(46\) 2.76273 + 10.9787i 0.407342 + 1.61873i
\(47\) 9.10261i 1.32775i 0.747842 + 0.663876i \(0.231090\pi\)
−0.747842 + 0.663876i \(0.768910\pi\)
\(48\) 0.797427 + 3.91971i 0.115099 + 0.565761i
\(49\) 13.3956 1.91365
\(50\) −4.84243 5.15275i −0.684823 0.728709i
\(51\) −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 0.445806 0.895130i \(-0.352917\pi\)
−0.895130 + 0.445806i \(0.852917\pi\)
\(54\) −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 \(0.412522\pi\)
\(60\) −4.46883 0.171823i −0.576924 0.0221822i
\(61\) −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 −0.583137 0.812374i \(-0.698175\pi\)
0.812374 + 0.583137i \(0.198175\pi\)
\(68\) −4.76443 8.86716i −0.577772 1.07530i
\(69\) −5.66051 + 5.66051i −0.681445 + 0.681445i
\(70\) −12.5300 + 6.85237i −1.49762 + 0.819015i
\(71\) 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 \(-0.617032\pi\)
−0.359438 + 0.933169i \(0.617032\pi\)
\(74\) 1.67765 2.80590i 0.195023 0.326180i
\(75\) 1.37006 4.80863i 0.158201 0.555253i
\(76\) 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 \(0.468343\pi\)
\(80\) −8.45940 2.90492i −0.945790 0.324779i
\(81\) −1.00000 −0.111111
\(82\) −4.60307 + 1.15833i −0.508324 + 0.127916i
\(83\) 6.39170 6.39170i 0.701580 0.701580i −0.263169 0.964750i \(-0.584768\pi\)
0.964750 + 0.263169i \(0.0847678\pi\)
\(84\) −2.60312 + 8.64905i −0.284024 + 0.943688i
\(85\) 10.8934 2.82705i 1.18155 0.306636i
\(86\) 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 \(0.990221\pi\)
\(90\) −1.51731 2.77449i −0.159938 0.292457i
\(91\) −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 \(0.282536\pi\)
−0.631265 + 0.775567i \(0.717464\pi\)
\(98\) 4.62305 + 18.3714i 0.466999 + 1.85580i
\(99\) 3.44000 + 3.44000i 0.345733 + 0.345733i
\(100\) 5.39556 8.41949i 0.539556 0.841949i
\(101\) −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 \(-0.349160\pi\)
0.456341 + 0.889805i \(0.349160\pi\)
\(104\) −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 0.440636 0.897686i \(-0.354753\pi\)
−0.897686 + 0.440636i \(0.854753\pi\)
\(108\) −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 \(0.746535\pi\)
\(110\) −4.32471 + 14.7638i −0.412345 + 1.40767i
\(111\) 2.31167 0.219414
\(112\) −9.97068 + 15.0637i −0.942141 + 1.42338i
\(113\) 1.02489i 0.0964131i 0.998837 + 0.0482066i \(0.0153506\pi\)
−0.998837 + 0.0482066i \(0.984649\pi\)
\(114\) 0.484409 + 1.92498i 0.0453691 + 0.180291i
\(115\) −4.49648 17.3261i −0.419298 1.61567i
\(116\) 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
\(120\) −1.30663 6.18811i −0.119278 0.564895i
\(121\) 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
\(125\) 7.71658 + 8.09039i 0.690192 + 0.723626i
\(126\) −6.19370 + 1.55860i −0.551778 + 0.138851i
\(127\) 9.29167i 0.824502i −0.911070 0.412251i \(-0.864743\pi\)
0.911070 0.412251i \(-0.135257\pi\)
\(128\) −11.1783 + 1.74525i −0.988030 + 0.154260i
\(129\) 8.03551 0.707487
\(130\) 0.142838 0.487624i 0.0125277 0.0427674i
\(131\) −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 \(-0.506104\pi\)
−0.0191736 + 0.999816i \(0.506104\pi\)
\(138\) −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 \(0.349485\pi\)
\(140\) −13.7221 14.8195i −1.15973 1.25247i
\(141\) −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 \(0.164810\pi\)
\(150\) 7.06766 + 0.219429i 0.577072 + 0.0179163i
\(151\) 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
\(155\) 3.61001 + 13.9103i 0.289963 + 1.11730i
\(156\) −0.152104 0.283083i −0.0121781 0.0226648i
\(157\) 1.85978 1.85978i 0.148426 0.148426i −0.628988 0.777415i \(-0.716531\pi\)
0.777415 + 0.628988i \(0.216531\pi\)
\(158\) 0.609132 + 2.42062i 0.0484600 + 0.192574i
\(159\) 4.62608 0.366872
\(160\) 1.06447 12.6042i 0.0841540 0.996453i
\(161\) −36.1525 −2.84922
\(162\) −0.345118 1.37146i −0.0271150 0.107752i
\(163\) −9.43033 + 9.43033i −0.738641 + 0.738641i −0.972315 0.233674i \(-0.924925\pi\)
0.233674 + 0.972315i \(0.424925\pi\)
\(164\) −3.17720 5.91314i −0.248098 0.461739i
\(165\) −10.5294 + 2.73260i −0.819715 + 0.212732i
\(166\) 10.9718 + 6.56005i 0.851580 + 0.509159i
\(167\) −21.2570 −1.64492 −0.822459 0.568824i \(-0.807398\pi\)
−0.822459 + 0.568824i \(0.807398\pi\)
\(168\) −12.7602 0.585125i −0.984469 0.0451434i
\(169\) 12.9742i 0.998014i
\(170\) 7.63668 + 13.9641i 0.585706 + 1.07100i
\(171\) −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 −0.839941 0.542678i \(-0.817410\pi\)
0.542678 + 0.839941i \(0.317410\pi\)
\(174\) 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 \(0.401126\pi\)
\(180\) 3.28144 3.03845i 0.244584 0.226472i
\(181\) −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
\(190\) −4.25960 1.24775i −0.309024 0.0905213i
\(191\) 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 \(0.0672349\pi\)
−0.977775 + 0.209657i \(0.932765\pi\)
\(194\) −20.9516 + 5.27234i −1.50424 + 0.378532i
\(195\) 0.347770 0.0902532i 0.0249043 0.00646317i
\(196\) −23.6001 + 12.6806i −1.68572 + 0.905760i
\(197\) 11.0656 + 11.0656i 0.788391 + 0.788391i 0.981230 0.192839i \(-0.0617695\pi\)
−0.192839 + 0.981230i \(0.561770\pi\)
\(198\) −3.53061 + 5.90502i −0.250909 + 0.419652i
\(199\) 7.04564i 0.499452i −0.968317 0.249726i \(-0.919659\pi\)
0.968317 0.249726i \(-0.0803406\pi\)
\(200\) 13.4091 + 4.49406i 0.948165 + 0.317778i
\(201\) 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
\(205\) 7.26435 1.88524i 0.507364 0.131671i
\(206\) 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
\(210\) 4.01468 13.7054i 0.277039 0.945762i
\(211\) 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
\(220\) −21.7404 0.835900i −1.46574 0.0563564i
\(221\) 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 \(0.0905432\pi\)
−0.959816 + 0.280629i \(0.909457\pi\)
\(224\) −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 −0.894377 0.447314i \(-0.852381\pi\)
0.447314 + 0.894377i \(0.352381\pi\)
\(228\) −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 \(0.470686\pi\)
\(230\) 22.2102 12.1463i 1.46450 0.800902i
\(231\) 21.9706i 1.44556i
\(232\) −0.186385 + 4.06462i −0.0122368 + 0.266855i
\(233\) 1.62741 0.106615 0.0533077 0.998578i \(-0.483024\pi\)
0.0533077 + 0.998578i \(0.483024\pi\)
\(234\) 0.116610 0.195033i 0.00762304 0.0127497i
\(235\) 19.7014 5.11291i 1.28518 0.333529i
\(236\) 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 \(0.634629\pi\)
\(240\) 8.03579 3.92761i 0.518708 0.253526i
\(241\) 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
\(245\) −7.52424 28.9930i −0.480706 1.85229i
\(246\) 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
\(250\) −8.43248 + 13.3751i −0.533317 + 0.845915i
\(251\) 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 \(-0.921760\pi\)
0.969943 0.243331i \(-0.0782400\pi\)
\(258\) 2.77320 + 11.0204i 0.172652 + 0.686097i
\(259\) 7.38207 + 7.38207i 0.458699 + 0.458699i
\(260\) 0.718051 + 0.0276084i 0.0445316 + 0.00171220i
\(261\) −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 \(-0.619829\pi\)
−0.367626 + 0.929974i \(0.619829\pi\)
\(264\) −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 \(0.865659\pi\)
\(270\) 3.03476 + 0.888962i 0.184689 + 0.0541005i
\(271\) −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
\(275\) 6.66519 23.3935i 0.401926 1.41068i
\(276\) 4.61421 15.3310i 0.277743 0.922818i
\(277\) 15.8294 + 15.8294i 0.951099 + 0.951099i 0.998859 0.0477597i \(-0.0152082\pi\)
−0.0477597 + 0.998859i \(0.515208\pi\)
\(278\) −8.80035 5.26172i −0.527810 0.315577i
\(279\) 6.42697i 0.384772i
\(280\) 15.5885 23.9337i 0.931592 1.43031i
\(281\) 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 0.624840 0.780753i \(-0.285164\pi\)
−0.780753 + 0.624840i \(0.785164\pi\)
\(284\) 0.601405 + 1.11928i 0.0356868 + 0.0664173i
\(285\) −0.788400 3.03792i −0.0467008 0.179951i
\(286\) −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
\(290\) −4.36571 1.27883i −0.256363 0.0750957i
\(291\) −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 0.443291 0.896378i \(-0.353811\pi\)
−0.896378 + 0.443291i \(0.853811\pi\)
\(294\) −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
\(300\) 2.13824 + 9.76872i 0.123451 + 0.563997i
\(301\) 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 −0.628767 0.777593i \(-0.716440\pi\)
0.777593 + 0.628767i \(0.216440\pi\)
\(308\) −12.6639 + 42.0767i −0.721594 + 2.39754i
\(309\) −6.54973 + 6.54973i −0.372601 + 0.372601i
\(310\) −17.8315 + 9.75168i −1.01276 + 0.553858i
\(311\) 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 \(-0.728296\pi\)
−0.657286 + 0.753641i \(0.728296\pi\)
\(314\) 3.19245 + 1.90876i 0.180160 + 0.107718i
\(315\) 9.77461 2.53670i 0.550737 0.142927i
\(316\) −3.10955 + 1.67080i −0.174926 + 0.0939897i
\(317\) −17.1360 + 17.1360i −0.962451 + 0.962451i −0.999320 0.0368693i \(-0.988261\pi\)
0.0368693 + 0.999320i \(0.488261\pi\)
\(318\) 1.59654 + 6.34446i 0.0895297 + 0.355780i
\(319\) 6.99850 0.391841
\(320\) 17.6535 2.89007i 0.986863 0.161560i
\(321\) 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
\(325\) −0.220140 + 0.772649i −0.0122112 + 0.0428589i
\(326\) −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
\(330\) −7.38154 13.4976i −0.406340 0.743018i
\(331\) −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 \(-0.589738\pi\)
0.278201 0.960523i \(-0.410262\pi\)
\(338\) −17.7935 + 4.47763i −0.967840 + 0.243551i
\(339\) −0.724704 0.724704i −0.0393605 0.0393605i
\(340\) −16.5157 + 15.2927i −0.895687 + 0.829360i
\(341\) 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 0.650318 0.759662i \(-0.274636\pi\)
−0.759662 + 0.650318i \(0.774636\pi\)
\(348\) −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 \(-0.519188\pi\)
\(350\) 21.8691 + 23.2706i 1.16895 + 1.24386i
\(351\) 0.160680 0.00857644
\(352\) −24.8134 + 11.9015i −1.32256 + 0.634351i
\(353\) 10.5799i 0.563110i 0.959545 + 0.281555i \(0.0908502\pi\)
−0.959545 + 0.281555i \(0.909150\pi\)
\(354\) 10.2959 2.59089i 0.547219 0.137704i
\(355\) −1.37505 + 0.356853i −0.0729801 + 0.0189398i
\(356\) −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 \(-0.331794\pi\)
\(360\) 5.29958 + 3.45173i 0.279312 + 0.181922i
\(361\) 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
\(365\) 3.44999 + 13.2937i 0.180581 + 0.695826i
\(366\) 2.86735 + 11.3945i 0.149879 + 0.595600i
\(367\) 22.0267i 1.14978i 0.818230 + 0.574891i \(0.194956\pi\)
−0.818230 + 0.574891i \(0.805044\pi\)
\(368\) 17.6737 26.7014i 0.921305 1.39191i
\(369\) 3.35633 0.174724
\(370\) −7.01534 2.05498i −0.364710 0.106833i
\(371\) 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 0.410100 0.912040i \(-0.365494\pi\)
−0.912040 + 0.410100i \(0.865494\pi\)
\(374\) 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 \(0.337193\pi\)
\(380\) 0.241171 6.27247i 0.0123718 0.321771i
\(381\) 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 \(0.0597645\pi\)
−0.982426 + 0.186655i \(0.940235\pi\)
\(384\) 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 \(0.374791\pi\)
\(390\) 0.243800 + 0.445804i 0.0123453 + 0.0225741i
\(391\) 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
\(395\) −0.991393 3.82011i −0.0498824 0.192210i
\(396\) −9.31696 2.80414i −0.468195 0.140913i
\(397\) 3.10102 3.10102i 0.155636 0.155636i −0.624994 0.780630i \(-0.714899\pi\)
0.780630 + 0.624994i \(0.214899\pi\)
\(398\) 9.66279 2.43158i 0.484352 0.121884i
\(399\) −6.33888 −0.317341
\(400\) −1.53570 + 19.9410i −0.0767848 + 0.997048i
\(401\) −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
\(405\) 0.561697 + 2.16437i 0.0279109 + 0.107548i
\(406\) −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 \(-0.0933307\pi\)
\(410\) 5.09258 + 9.31210i 0.251505 + 0.459892i
\(411\) 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 \(0.687302\pi\)
\(420\) 20.1819 + 0.775977i 0.984776 + 0.0378638i
\(421\) 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
\(430\) −24.3858 7.14326i −1.17599 0.344479i
\(431\) −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 \(-0.878616\pi\)
0.928167 0.372165i \(-0.121384\pi\)
\(434\) 10.0171 + 39.8067i 0.480836 + 1.91078i
\(435\) −0.808040 3.11360i −0.0387426 0.149286i
\(436\) −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 \(0.919630\pi\)
\(440\) −6.35661 30.1045i −0.303040 1.43518i
\(441\) 13.3956i 0.637884i
\(442\) −0.586905 + 0.981612i −0.0279162 + 0.0466905i
\(443\) 15.6375 + 15.6375i 0.742961 + 0.742961i 0.973147 0.230186i \(-0.0739334\pi\)
−0.230186 + 0.973147i \(0.573933\pi\)
\(444\) −4.07266 + 2.18829i −0.193280 + 0.103852i
\(445\) 1.25437 0.325534i 0.0594628 0.0154318i
\(446\) −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 \(0.324393\pi\)
\(450\) −5.15275 + 4.84243i −0.242903 + 0.228274i
\(451\) −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 \(-0.268002\pi\)
0.666006 + 0.745946i \(0.268002\pi\)
\(458\) −23.4776 14.0372i −1.09703 0.655916i
\(459\) −3.55890 + 3.55890i −0.166115 + 0.166115i
\(460\) 24.3233 + 26.2685i 1.13408 + 1.22477i
\(461\) 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 \(-0.806488\pi\)
0.820829 0.571174i \(-0.193512\pi\)
\(464\) −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 −0.969772 0.244015i \(-0.921536\pi\)
0.244015 + 0.969772i \(0.421536\pi\)
\(468\) 0.307724 + 0.0926163i 0.0142245 + 0.00428119i
\(469\) −8.47405 + 8.47405i −0.391295 + 0.391295i
\(470\) 13.8115 + 25.2551i 0.637075 + 1.16493i
\(471\) 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
\(475\) 6.74941 + 1.92302i 0.309684 + 0.0882342i
\(476\) 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 \(0.569336\pi\)
\(480\) 8.15985 + 9.66524i 0.372444 + 0.441156i
\(481\) −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
\(485\) 33.0649 8.58099i 1.50140 0.389643i
\(486\) 1.21380 + 0.725731i 0.0550592 + 0.0329198i
\(487\) −9.95957 −0.451311 −0.225656 0.974207i \(-0.572452\pi\)
−0.225656 + 0.974207i \(0.572452\pi\)
\(488\) −1.07645 + 23.4748i −0.0487286 + 1.06265i
\(489\) 13.3365i 0.603097i
\(490\) 37.1658 20.3252i 1.67898 0.918198i
\(491\) 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 \(0.718769\pi\)
\(500\) −21.2536 6.94880i −0.950489 0.310760i
\(501\) 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 \(-0.541586\pi\)
−0.130276 + 0.991478i \(0.541586\pi\)
\(504\) 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 \(0.728389\pi\)
\(510\) −15.2741 4.47419i −0.676348 0.198120i
\(511\) 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
\(515\) −5.20284 20.0479i −0.229264 0.883418i
\(516\) −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
\(520\) 0.209949 + 0.994303i 0.00920685 + 0.0436031i
\(521\) 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 \(0.0106350\pi\)
0.0334047 + 0.999442i \(0.489365\pi\)
\(524\) 12.2897 + 3.69885i 0.536877 + 0.161585i
\(525\) −6.18738 + 21.7165i −0.270039 + 0.947785i
\(526\) −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
\(530\) −14.0390 4.11241i −0.609816 0.178631i
\(531\) 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
\(540\) −0.171823 + 4.46883i −0.00739408 + 0.192308i
\(541\) −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 \(-0.489296\pi\)
0.999435 0.0336209i \(-0.0107039\pi\)
\(548\) 0.790764 0.424887i 0.0337797 0.0181503i
\(549\) −5.87487 + 5.87487i −0.250733 + 0.250733i
\(550\) 34.3834 + 1.06750i 1.46612 + 0.0455184i
\(551\) 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
\(555\) −1.29846 5.00330i −0.0551164 0.212378i
\(556\) 4.17906 13.8852i 0.177232 0.588864i
\(557\) −4.87106 + 4.87106i −0.206393 + 0.206393i −0.802733 0.596339i \(-0.796621\pi\)
0.596339 + 0.802733i \(0.296621\pi\)
\(558\) −8.81431 + 2.21806i −0.373139 + 0.0938981i
\(559\) −1.29114 −0.0546095
\(560\) 38.2039 + 13.1190i 1.61441 + 0.554380i
\(561\) 24.4853 1.03377
\(562\) −38.2019 + 9.61327i −1.61145 + 0.405511i
\(563\) 1.64374 1.64374i 0.0692752 0.0692752i −0.671620 0.740896i \(-0.734401\pi\)
0.740896 + 0.671620i \(0.234401\pi\)
\(564\) 17.4328 + 5.24678i 0.734052 + 0.220929i
\(565\) 2.21823 0.575675i 0.0933217 0.0242188i
\(566\) 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 \(0.782768\pi\)
\(570\) 3.89428 2.12970i 0.163114 0.0892032i
\(571\) 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 \(0.295383\pi\)
−0.599457 + 0.800407i \(0.704617\pi\)
\(578\) −2.87539 11.4264i −0.119600 0.475277i
\(579\) −4.11912 4.11912i −0.171185 0.171185i
\(580\) 0.247179 6.42873i 0.0102636 0.266939i
\(581\) −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 0.987105 0.160074i \(-0.0511734\pi\)
−0.160074 + 0.987105i \(0.551173\pi\)
\(588\) 7.72125 25.6544i 0.318419 1.05797i
\(589\) 6.37875 + 6.37875i 0.262832 + 0.262832i
\(590\) −6.67366 + 22.7827i −0.274750 + 0.937948i
\(591\) −15.6491 −0.643719
\(592\) −9.06106 + 1.84339i −0.372407 + 0.0757627i
\(593\) 39.5143i 1.62266i −0.584590 0.811329i \(-0.698745\pi\)
0.584590 0.811329i \(-0.301255\pi\)
\(594\) −1.67896 6.67200i −0.0688887 0.273755i
\(595\) −49.1961 + 12.7674i −2.01684 + 0.523411i
\(596\) −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 \(0.597996\pi\)
\(600\) −12.6594 + 6.30387i −0.516819 + 0.257354i
\(601\) 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
\(605\) −27.4165 + 7.11514i −1.11464 + 0.289271i
\(606\) 5.05518 1.27210i 0.205353 0.0516757i
\(607\) 29.2165i 1.18586i 0.805254 + 0.592930i \(0.202029\pi\)
−0.805254 + 0.592930i \(0.797971\pi\)
\(608\) −3.43378 7.15909i −0.139258 0.290339i
\(609\) −6.49679 −0.263263
\(610\) −25.2137 7.38577i −1.02087 0.299041i
\(611\) 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 0.982336 0.187124i \(-0.0599167\pi\)
−0.187124 + 0.982336i \(0.559917\pi\)
\(614\) 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 \(-0.429671\pi\)
0.219153 + 0.975691i \(0.429671\pi\)
\(618\) −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 \(-0.0972445\pi\)
\(620\) −19.5280 21.0897i −0.784263 0.846983i
\(621\) 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
\(630\) 6.85237 + 12.5300i 0.273005 + 0.499207i
\(631\) 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
\(635\) −20.1106 + 5.21910i −0.798065 + 0.207114i
\(636\) −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
\(640\) 10.0562 + 23.2136i 0.397505 + 0.917600i
\(641\) −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 \(0.679566\pi\)
−0.845058 + 0.534675i \(0.820434\pi\)
\(644\) 63.6930 34.2230i 2.50986 1.34858i
\(645\) −4.51352 17.3918i −0.177720 0.684802i
\(646\) 8.57479 + 5.12686i 0.337371 + 0.201714i
\(647\) −8.60364 −0.338244 −0.169122 0.985595i \(-0.554093\pi\)
−0.169122 + 0.985595i \(0.554093\pi\)
\(648\) 1.90629 + 2.08952i 0.0748860 + 0.0820839i
\(649\) 36.5220i 1.43361i
\(650\) −1.13563 0.0352578i −0.0445430 0.00138293i
\(651\) −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 −0.867386 0.497636i \(-0.834201\pi\)
0.497636 + 0.867386i \(0.334201\pi\)
\(654\) −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 \(0.792009\pi\)
\(660\) 15.9639 14.7817i 0.621393 0.575378i
\(661\) 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
\(670\) 2.35896 8.05308i 0.0911347 0.311118i
\(671\) 40.4191 1.56036
\(672\) 23.0346 11.0483i 0.888579 0.426197i
\(673\) 19.6076i 0.755818i −0.925843 0.377909i \(-0.876643\pi\)
0.925843 0.377909i \(-0.123357\pi\)
\(674\) 48.3654 12.1708i 1.86297 0.468803i
\(675\) −4.80863 1.37006i −0.185084 0.0527336i
\(676\) −12.2817 22.8577i −0.472375 0.879144i
\(677\) 1.22231 + 1.22231i 0.0469773 + 0.0469773i 0.730205 0.683228i \(-0.239424\pi\)
−0.683228 + 0.730205i \(0.739424\pi\)
\(678\) 0.743791 1.24401i 0.0285651 0.0477758i
\(679\) 68.9927i 2.64770i
\(680\) −26.6731 17.3727i −1.02287 0.666214i
\(681\) 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 \(-0.987328\pi\)
−0.0398011 0.999208i \(-0.512672\pi\)
\(684\) 0.809042 2.68810i 0.0309345 0.102782i
\(685\) 0.252113 + 0.971460i 0.00963274 + 0.0371176i
\(686\) −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
\(690\) −7.11629 + 24.2937i −0.270912 + 0.924847i
\(691\) 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
\(700\) −24.3672 + 38.0237i −0.920992 + 1.43716i
\(701\) −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 \(0.396256\pi\)
\(710\) −0.963963 1.76267i −0.0361769 0.0661517i
\(711\) 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
\(715\) 1.69187 0.439073i 0.0632722 0.0164204i
\(716\) −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 \(0.499789\pi\)
\(720\) −2.90492 + 8.45940i −0.108260 + 0.315263i
\(721\) −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
\(725\) 6.91755 + 1.97093i 0.256912 + 0.0731983i
\(726\) −9.19299 + 15.3755i −0.341184 + 0.570638i
\(727\) −35.1597 −1.30400 −0.652000 0.758219i \(-0.726070\pi\)
−0.652000 + 0.758219i \(0.726070\pi\)
\(728\) 2.05030 + 0.0940176i 0.0759892 + 0.00348453i
\(729\) 1.00000i 0.0370370i
\(730\) −17.0411 + 9.31942i −0.630721 + 0.344927i
\(731\) 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 \(-0.488968\pi\)
0.999399 0.0346524i \(-0.0110324\pi\)
\(734\) −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 \(0.552215\pi\)
\(740\) 0.397197 10.3305i 0.0146013 0.379755i
\(741\) 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 \(-0.566942\pi\)
−0.208757 + 0.977968i \(0.566942\pi\)
\(744\) −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
\(750\) −3.49496 15.4203i −0.127618 0.563069i
\(751\) 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
\(755\) −14.8112 + 3.84379i −0.539033 + 0.139890i
\(756\) 8.64905 + 2.60312i 0.314563 + 0.0946746i
\(757\) −32.3418 32.3418i −1.17548 1.17548i −0.980882 0.194602i \(-0.937658\pi\)
−0.194602 0.980882i \(-0.562342\pi\)
\(758\) −12.7845 7.64382i −0.464353 0.277636i
\(759\) 38.9443i 1.41359i
\(760\) 8.68566 1.83399i 0.315062 0.0665258i
\(761\) 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
\(765\) −2.82705 10.8934i −0.102212 0.393851i
\(766\) −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 \(0.525054\pi\)
\(770\) 19.5310 66.6754i 0.703848 2.40281i
\(771\) 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 0.945512 0.325588i \(-0.105562\pi\)
−0.325588 + 0.945512i \(0.605562\pi\)
\(774\) −9.75352 5.83162i −0.350583 0.209613i
\(775\) 28.0794 15.6268i 1.00864 0.561330i
\(776\) 31.9213