Properties

Label 403.2.l.c.25.15
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.15
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.20

$q$-expansion

\(f(q)\) \(=\) \(q-0.216546i q^{2} +(1.35890 + 2.35368i) q^{3} +1.95311 q^{4} +(0.933057 + 0.538701i) q^{5} +(0.509681 - 0.294264i) q^{6} +(-2.50436 + 1.44590i) q^{7} -0.856030i q^{8} +(-2.19321 + 3.79876i) q^{9} +O(q^{10})\) \(q-0.216546i q^{2} +(1.35890 + 2.35368i) q^{3} +1.95311 q^{4} +(0.933057 + 0.538701i) q^{5} +(0.509681 - 0.294264i) q^{6} +(-2.50436 + 1.44590i) q^{7} -0.856030i q^{8} +(-2.19321 + 3.79876i) q^{9} +(0.116654 - 0.202050i) q^{10} +(1.69734 + 0.979961i) q^{11} +(2.65408 + 4.59700i) q^{12} +(-3.20508 - 1.65150i) q^{13} +(0.313103 + 0.542310i) q^{14} +2.92816i q^{15} +3.72085 q^{16} +(-2.22424 - 3.85250i) q^{17} +(0.822606 + 0.474932i) q^{18} +(3.53832 - 2.04285i) q^{19} +(1.82236 + 1.05214i) q^{20} +(-6.80636 - 3.92965i) q^{21} +(0.212207 - 0.367553i) q^{22} -0.663330 q^{23} +(2.01482 - 1.16326i) q^{24} +(-1.91960 - 3.32485i) q^{25} +(-0.357626 + 0.694047i) q^{26} -3.76803 q^{27} +(-4.89129 + 2.82399i) q^{28} -4.34035 q^{29} +0.634082 q^{30} +(5.33130 - 1.60538i) q^{31} -2.51779i q^{32} +5.32668i q^{33} +(-0.834243 + 0.481650i) q^{34} -3.11562 q^{35} +(-4.28358 + 7.41939i) q^{36} +(0.514023 - 0.296771i) q^{37} +(-0.442371 - 0.766209i) q^{38} +(-0.468267 - 9.78797i) q^{39} +(0.461144 - 0.798725i) q^{40} +(6.64980 + 3.83926i) q^{41} +(-0.850950 + 1.47389i) q^{42} +(2.15673 + 3.73557i) q^{43} +(3.31509 + 1.91397i) q^{44} +(-4.09279 + 2.36297i) q^{45} +0.143642i q^{46} +0.255427i q^{47} +(5.05625 + 8.75769i) q^{48} +(0.681225 - 1.17992i) q^{49} +(-0.719983 + 0.415682i) q^{50} +(6.04504 - 10.4703i) q^{51} +(-6.25987 - 3.22556i) q^{52} +(1.64889 - 2.85596i) q^{53} +0.815953i q^{54} +(1.05581 + 1.82872i) q^{55} +(1.23773 + 2.14381i) q^{56} +(9.61644 + 5.55206i) q^{57} +0.939885i q^{58} +(-9.81008 + 5.66385i) q^{59} +5.71901i q^{60} +5.31550 q^{61} +(-0.347640 - 1.15447i) q^{62} -12.6846i q^{63} +6.89647 q^{64} +(-2.10086 - 3.26753i) q^{65} +1.15347 q^{66} +(8.18899 + 4.72791i) q^{67} +(-4.34418 - 7.52434i) q^{68} +(-0.901399 - 1.56127i) q^{69} +0.674675i q^{70} +(-6.83812 - 3.94799i) q^{71} +(3.25185 + 1.87746i) q^{72} +(-0.249101 - 0.143819i) q^{73} +(-0.0642646 - 0.111310i) q^{74} +(5.21709 - 9.03627i) q^{75} +(6.91072 - 3.98991i) q^{76} -5.66768 q^{77} +(-2.11955 + 0.101401i) q^{78} +(-2.03383 - 3.52270i) q^{79} +(3.47176 + 2.00442i) q^{80} +(1.45926 + 2.52752i) q^{81} +(0.831377 - 1.43999i) q^{82} +(-12.3268 - 7.11691i) q^{83} +(-13.2935 - 7.67503i) q^{84} -4.79280i q^{85} +(0.808923 - 0.467032i) q^{86} +(-5.89810 - 10.2158i) q^{87} +(0.838876 - 1.45298i) q^{88} -5.37232i q^{89} +(0.511692 + 0.886277i) q^{90} +(10.4146 - 0.498246i) q^{91} -1.29556 q^{92} +(11.0233 + 10.3666i) q^{93} +0.0553117 q^{94} +4.40194 q^{95} +(5.92609 - 3.42143i) q^{96} +1.70597i q^{97} +(-0.255506 - 0.147517i) q^{98} +(-7.44527 + 4.29853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.216546i 0.153121i −0.997065 0.0765606i \(-0.975606\pi\)
0.997065 0.0765606i \(-0.0243939\pi\)
\(3\) 1.35890 + 2.35368i 0.784561 + 1.35890i 0.929261 + 0.369424i \(0.120445\pi\)
−0.144700 + 0.989476i \(0.546222\pi\)
\(4\) 1.95311 0.976554
\(5\) 0.933057 + 0.538701i 0.417276 + 0.240914i 0.693911 0.720061i \(-0.255886\pi\)
−0.276635 + 0.960975i \(0.589219\pi\)
\(6\) 0.509681 0.294264i 0.208076 0.120133i
\(7\) −2.50436 + 1.44590i −0.946560 + 0.546497i −0.892011 0.452014i \(-0.850706\pi\)
−0.0545497 + 0.998511i \(0.517372\pi\)
\(8\) 0.856030i 0.302652i
\(9\) −2.19321 + 3.79876i −0.731071 + 1.26625i
\(10\) 0.116654 0.202050i 0.0368891 0.0638938i
\(11\) 1.69734 + 0.979961i 0.511768 + 0.295469i 0.733560 0.679625i \(-0.237857\pi\)
−0.221792 + 0.975094i \(0.571191\pi\)
\(12\) 2.65408 + 4.59700i 0.766166 + 1.32704i
\(13\) −3.20508 1.65150i −0.888929 0.458044i
\(14\) 0.313103 + 0.542310i 0.0836803 + 0.144938i
\(15\) 2.92816i 0.756048i
\(16\) 3.72085 0.930211
\(17\) −2.22424 3.85250i −0.539457 0.934368i −0.998933 0.0461774i \(-0.985296\pi\)
0.459476 0.888190i \(-0.348037\pi\)
\(18\) 0.822606 + 0.474932i 0.193890 + 0.111943i
\(19\) 3.53832 2.04285i 0.811746 0.468662i −0.0358156 0.999358i \(-0.511403\pi\)
0.847562 + 0.530696i \(0.178070\pi\)
\(20\) 1.82236 + 1.05214i 0.407492 + 0.235266i
\(21\) −6.80636 3.92965i −1.48527 0.857520i
\(22\) 0.212207 0.367553i 0.0452426 0.0783625i
\(23\) −0.663330 −0.138314 −0.0691570 0.997606i \(-0.522031\pi\)
−0.0691570 + 0.997606i \(0.522031\pi\)
\(24\) 2.01482 1.16326i 0.411274 0.237449i
\(25\) −1.91960 3.32485i −0.383921 0.664970i
\(26\) −0.357626 + 0.694047i −0.0701363 + 0.136114i
\(27\) −3.76803 −0.725159
\(28\) −4.89129 + 2.82399i −0.924367 + 0.533684i
\(29\) −4.34035 −0.805982 −0.402991 0.915204i \(-0.632029\pi\)
−0.402991 + 0.915204i \(0.632029\pi\)
\(30\) 0.634082 0.115767
\(31\) 5.33130 1.60538i 0.957529 0.288336i
\(32\) 2.51779i 0.445087i
\(33\) 5.32668i 0.927255i
\(34\) −0.834243 + 0.481650i −0.143071 + 0.0826024i
\(35\) −3.11562 −0.526636
\(36\) −4.28358 + 7.41939i −0.713931 + 1.23656i
\(37\) 0.514023 0.296771i 0.0845048 0.0487889i −0.457152 0.889389i \(-0.651131\pi\)
0.541657 + 0.840600i \(0.317797\pi\)
\(38\) −0.442371 0.766209i −0.0717621 0.124296i
\(39\) −0.468267 9.78797i −0.0749828 1.56733i
\(40\) 0.461144 0.798725i 0.0729133 0.126289i
\(41\) 6.64980 + 3.83926i 1.03852 + 0.599592i 0.919415 0.393289i \(-0.128663\pi\)
0.119109 + 0.992881i \(0.461996\pi\)
\(42\) −0.850950 + 1.47389i −0.131305 + 0.227426i
\(43\) 2.15673 + 3.73557i 0.328899 + 0.569669i 0.982294 0.187348i \(-0.0599892\pi\)
−0.653395 + 0.757017i \(0.726656\pi\)
\(44\) 3.31509 + 1.91397i 0.499769 + 0.288542i
\(45\) −4.09279 + 2.36297i −0.610117 + 0.352251i
\(46\) 0.143642i 0.0211788i
\(47\) 0.255427i 0.0372579i 0.999826 + 0.0186289i \(0.00593012\pi\)
−0.999826 + 0.0186289i \(0.994070\pi\)
\(48\) 5.05625 + 8.75769i 0.729807 + 1.26406i
\(49\) 0.681225 1.17992i 0.0973178 0.168559i
\(50\) −0.719983 + 0.415682i −0.101821 + 0.0587864i
\(51\) 6.04504 10.4703i 0.846474 1.46614i
\(52\) −6.25987 3.22556i −0.868087 0.447305i
\(53\) 1.64889 2.85596i 0.226492 0.392296i −0.730274 0.683155i \(-0.760608\pi\)
0.956766 + 0.290858i \(0.0939409\pi\)
\(54\) 0.815953i 0.111037i
\(55\) 1.05581 + 1.82872i 0.142366 + 0.246585i
\(56\) 1.23773 + 2.14381i 0.165399 + 0.286479i
\(57\) 9.61644 + 5.55206i 1.27373 + 0.735388i
\(58\) 0.939885i 0.123413i
\(59\) −9.81008 + 5.66385i −1.27716 + 0.737371i −0.976326 0.216304i \(-0.930600\pi\)
−0.300838 + 0.953675i \(0.597266\pi\)
\(60\) 5.71901i 0.738321i
\(61\) 5.31550 0.680580 0.340290 0.940321i \(-0.389475\pi\)
0.340290 + 0.940321i \(0.389475\pi\)
\(62\) −0.347640 1.15447i −0.0441503 0.146618i
\(63\) 12.6846i 1.59811i
\(64\) 6.89647 0.862059
\(65\) −2.10086 3.26753i −0.260579 0.405287i
\(66\) 1.15347 0.141982
\(67\) 8.18899 + 4.72791i 1.00044 + 0.577607i 0.908380 0.418146i \(-0.137320\pi\)
0.0920644 + 0.995753i \(0.470653\pi\)
\(68\) −4.34418 7.52434i −0.526809 0.912460i
\(69\) −0.901399 1.56127i −0.108516 0.187955i
\(70\) 0.674675i 0.0806391i
\(71\) −6.83812 3.94799i −0.811535 0.468540i 0.0359533 0.999353i \(-0.488553\pi\)
−0.847489 + 0.530813i \(0.821887\pi\)
\(72\) 3.25185 + 1.87746i 0.383234 + 0.221260i
\(73\) −0.249101 0.143819i −0.0291551 0.0168327i 0.485352 0.874319i \(-0.338692\pi\)
−0.514507 + 0.857486i \(0.672025\pi\)
\(74\) −0.0642646 0.111310i −0.00747061 0.0129395i
\(75\) 5.21709 9.03627i 0.602418 1.04342i
\(76\) 6.91072 3.98991i 0.792714 0.457674i
\(77\) −5.66768 −0.645893
\(78\) −2.11955 + 0.101401i −0.239991 + 0.0114815i
\(79\) −2.03383 3.52270i −0.228824 0.396334i 0.728636 0.684901i \(-0.240155\pi\)
−0.957460 + 0.288567i \(0.906821\pi\)
\(80\) 3.47176 + 2.00442i 0.388155 + 0.224101i
\(81\) 1.45926 + 2.52752i 0.162140 + 0.280835i
\(82\) 0.831377 1.43999i 0.0918103 0.159020i
\(83\) −12.3268 7.11691i −1.35305 0.781182i −0.364372 0.931253i \(-0.618716\pi\)
−0.988675 + 0.150071i \(0.952050\pi\)
\(84\) −13.2935 7.67503i −1.45044 0.837415i
\(85\) 4.79280i 0.519852i
\(86\) 0.808923 0.467032i 0.0872284 0.0503613i
\(87\) −5.89810 10.2158i −0.632342 1.09525i
\(88\) 0.838876 1.45298i 0.0894245 0.154888i
\(89\) 5.37232i 0.569464i −0.958607 0.284732i \(-0.908095\pi\)
0.958607 0.284732i \(-0.0919047\pi\)
\(90\) 0.511692 + 0.886277i 0.0539371 + 0.0934218i
\(91\) 10.4146 0.498246i 1.09175 0.0522303i
\(92\) −1.29556 −0.135071
\(93\) 11.0233 + 10.3666i 1.14306 + 1.07497i
\(94\) 0.0553117 0.00570497
\(95\) 4.40194 0.451630
\(96\) 5.92609 3.42143i 0.604829 0.349198i
\(97\) 1.70597i 0.173216i 0.996242 + 0.0866078i \(0.0276027\pi\)
−0.996242 + 0.0866078i \(0.972397\pi\)
\(98\) −0.255506 0.147517i −0.0258100 0.0149014i
\(99\) −7.44527 + 4.29853i −0.748278 + 0.432019i
\(100\) −3.74919 6.49379i −0.374919 0.649379i
\(101\) −8.31840 −0.827711 −0.413856 0.910342i \(-0.635818\pi\)
−0.413856 + 0.910342i \(0.635818\pi\)
\(102\) −2.26730 1.30903i −0.224497 0.129613i
\(103\) −1.71285 + 2.96674i −0.168772 + 0.292322i −0.937988 0.346667i \(-0.887314\pi\)
0.769216 + 0.638989i \(0.220647\pi\)
\(104\) −1.41374 + 2.74364i −0.138628 + 0.269036i
\(105\) −4.23381 7.33318i −0.413178 0.715645i
\(106\) −0.618447 0.357060i −0.0600688 0.0346808i
\(107\) −7.21523 12.4972i −0.697523 1.20815i −0.969323 0.245792i \(-0.920952\pi\)
0.271800 0.962354i \(-0.412381\pi\)
\(108\) −7.35938 −0.708156
\(109\) 14.1796i 1.35816i 0.734064 + 0.679080i \(0.237621\pi\)
−0.734064 + 0.679080i \(0.762379\pi\)
\(110\) 0.396002 0.228632i 0.0377573 0.0217992i
\(111\) 1.39701 + 0.806565i 0.132598 + 0.0765557i
\(112\) −9.31835 + 5.37995i −0.880501 + 0.508358i
\(113\) −2.72624 + 4.72198i −0.256463 + 0.444207i −0.965292 0.261174i \(-0.915890\pi\)
0.708829 + 0.705380i \(0.249224\pi\)
\(114\) 1.20228 2.08240i 0.112603 0.195035i
\(115\) −0.618925 0.357337i −0.0577151 0.0333218i
\(116\) −8.47717 −0.787085
\(117\) 13.3031 8.55323i 1.22987 0.790746i
\(118\) 1.22648 + 2.12433i 0.112907 + 0.195561i
\(119\) 11.1406 + 6.43204i 1.02126 + 0.589624i
\(120\) 2.50659 0.228820
\(121\) −3.57935 6.19962i −0.325396 0.563602i
\(122\) 1.15105i 0.104211i
\(123\) 20.8687i 1.88167i
\(124\) 10.4126 3.13549i 0.935079 0.281575i
\(125\) 9.52337i 0.851797i
\(126\) −2.74681 −0.244705
\(127\) −9.01988 15.6229i −0.800385 1.38631i −0.919363 0.393411i \(-0.871295\pi\)
0.118978 0.992897i \(-0.462038\pi\)
\(128\) 6.52899i 0.577087i
\(129\) −5.86156 + 10.1525i −0.516082 + 0.893880i
\(130\) −0.707570 + 0.454932i −0.0620580 + 0.0399002i
\(131\) 2.44773 + 4.23960i 0.213859 + 0.370415i 0.952919 0.303225i \(-0.0980632\pi\)
−0.739060 + 0.673640i \(0.764730\pi\)
\(132\) 10.4036i 0.905515i
\(133\) −5.90749 + 10.2321i −0.512245 + 0.887234i
\(134\) 1.02381 1.77329i 0.0884438 0.153189i
\(135\) −3.51579 2.02984i −0.302591 0.174701i
\(136\) −3.29785 + 1.90402i −0.282788 + 0.163268i
\(137\) −12.5462 7.24358i −1.07190 0.618860i −0.143198 0.989694i \(-0.545739\pi\)
−0.928699 + 0.370834i \(0.879072\pi\)
\(138\) −0.338087 + 0.195194i −0.0287798 + 0.0166160i
\(139\) 21.1636 1.79508 0.897538 0.440936i \(-0.145354\pi\)
0.897538 + 0.440936i \(0.145354\pi\)
\(140\) −6.08514 −0.514288
\(141\) −0.601194 + 0.347100i −0.0506297 + 0.0292311i
\(142\) −0.854922 + 1.48077i −0.0717434 + 0.124263i
\(143\) −3.82171 5.94402i −0.319588 0.497064i
\(144\) −8.16061 + 14.1346i −0.680051 + 1.17788i
\(145\) −4.04979 2.33815i −0.336317 0.194173i
\(146\) −0.0311434 + 0.0539419i −0.00257745 + 0.00446427i
\(147\) 3.70286 0.305407
\(148\) 1.00394 0.579626i 0.0825235 0.0476450i
\(149\) −11.3091 + 6.52932i −0.926478 + 0.534902i −0.885696 0.464266i \(-0.846318\pi\)
−0.0407821 + 0.999168i \(0.512985\pi\)
\(150\) −1.95677 1.12974i −0.159770 0.0922430i
\(151\) 21.4537i 1.74587i −0.487833 0.872937i \(-0.662212\pi\)
0.487833 0.872937i \(-0.337788\pi\)
\(152\) −1.74874 3.02891i −0.141842 0.245677i
\(153\) 19.5129 1.57753
\(154\) 1.22731i 0.0988998i
\(155\) 5.83923 + 1.37406i 0.469018 + 0.110367i
\(156\) −0.914577 19.1170i −0.0732248 1.53058i
\(157\) −0.204180 −0.0162954 −0.00814768 0.999967i \(-0.502594\pi\)
−0.00814768 + 0.999967i \(0.502594\pi\)
\(158\) −0.762826 + 0.440418i −0.0606872 + 0.0350377i
\(159\) 8.96269 0.710788
\(160\) 1.35634 2.34925i 0.107228 0.185724i
\(161\) 1.66122 0.959106i 0.130922 0.0755881i
\(162\) 0.547324 0.315998i 0.0430019 0.0248271i
\(163\) 8.34506i 0.653636i 0.945087 + 0.326818i \(0.105976\pi\)
−0.945087 + 0.326818i \(0.894024\pi\)
\(164\) 12.9878 + 7.49849i 1.01417 + 0.585534i
\(165\) −2.86948 + 4.97009i −0.223389 + 0.386921i
\(166\) −1.54114 + 2.66933i −0.119616 + 0.207180i
\(167\) 7.36470 4.25201i 0.569898 0.329031i −0.187211 0.982320i \(-0.559945\pi\)
0.757108 + 0.653289i \(0.226611\pi\)
\(168\) −3.36390 + 5.82644i −0.259530 + 0.449520i
\(169\) 7.54508 + 10.5864i 0.580391 + 0.814338i
\(170\) −1.03786 −0.0796004
\(171\) 17.9216i 1.37050i
\(172\) 4.21233 + 7.29597i 0.321187 + 0.556312i
\(173\) −12.3780 + 21.4393i −0.941079 + 1.63000i −0.177661 + 0.984092i \(0.556853\pi\)
−0.763418 + 0.645905i \(0.776480\pi\)
\(174\) −2.21219 + 1.27721i −0.167706 + 0.0968250i
\(175\) 9.61477 + 5.55109i 0.726808 + 0.419623i
\(176\) 6.31555 + 3.64629i 0.476053 + 0.274849i
\(177\) −26.6618 15.3932i −2.00403 1.15702i
\(178\) −1.16335 −0.0871971
\(179\) 7.81732 + 13.5400i 0.584294 + 1.01203i 0.994963 + 0.100242i \(0.0319618\pi\)
−0.410669 + 0.911784i \(0.634705\pi\)
\(180\) −7.99366 + 4.61514i −0.595812 + 0.343992i
\(181\) 0.0959588 0.166206i 0.00713256 0.0123540i −0.862437 0.506164i \(-0.831063\pi\)
0.869570 + 0.493810i \(0.164396\pi\)
\(182\) −0.107893 2.25524i −0.00799757 0.167169i
\(183\) 7.22323 + 12.5110i 0.533957 + 0.924840i
\(184\) 0.567830i 0.0418610i
\(185\) 0.639484 0.0470158
\(186\) 2.24485 2.38704i 0.164601 0.175027i
\(187\) 8.71868i 0.637573i
\(188\) 0.498876i 0.0363843i
\(189\) 9.43653 5.44818i 0.686406 0.396297i
\(190\) 0.953223i 0.0691540i
\(191\) 10.8919 18.8654i 0.788112 1.36505i −0.139010 0.990291i \(-0.544392\pi\)
0.927122 0.374759i \(-0.122275\pi\)
\(192\) 9.37161 + 16.2321i 0.676338 + 1.17145i
\(193\) 20.9910 12.1192i 1.51097 0.872357i 0.511048 0.859552i \(-0.329257\pi\)
0.999918 0.0128045i \(-0.00407591\pi\)
\(194\) 0.369422 0.0265230
\(195\) 4.83587 9.38499i 0.346304 0.672073i
\(196\) 1.33051 2.30450i 0.0950361 0.164607i
\(197\) −4.91380 2.83698i −0.350093 0.202127i 0.314633 0.949213i \(-0.398119\pi\)
−0.664726 + 0.747087i \(0.731452\pi\)
\(198\) 0.930830 + 1.61224i 0.0661512 + 0.114577i
\(199\) −8.04415 + 13.9329i −0.570235 + 0.987676i 0.426307 + 0.904579i \(0.359814\pi\)
−0.996541 + 0.0830970i \(0.973519\pi\)
\(200\) −2.84617 + 1.64324i −0.201255 + 0.116194i
\(201\) 25.6990i 1.81267i
\(202\) 1.80132i 0.126740i
\(203\) 10.8698 6.27569i 0.762911 0.440467i
\(204\) 11.8066 20.4496i 0.826628 1.43176i
\(205\) 4.13643 + 7.16450i 0.288901 + 0.500391i
\(206\) 0.642437 + 0.370911i 0.0447607 + 0.0258426i
\(207\) 1.45483 2.51983i 0.101117 0.175140i
\(208\) −11.9256 6.14499i −0.826892 0.426078i
\(209\) 8.00766 0.553901
\(210\) −1.58797 + 0.916815i −0.109580 + 0.0632663i
\(211\) −3.65726 6.33456i −0.251776 0.436089i 0.712239 0.701937i \(-0.247681\pi\)
−0.964015 + 0.265848i \(0.914348\pi\)
\(212\) 3.22046 5.57800i 0.221182 0.383098i
\(213\) 21.4597i 1.47039i
\(214\) −2.70621 + 1.56243i −0.184993 + 0.106806i
\(215\) 4.64733i 0.316946i
\(216\) 3.22555i 0.219471i
\(217\) −11.0303 + 11.7290i −0.748785 + 0.796214i
\(218\) 3.07054 0.207963
\(219\) 0.781741i 0.0528252i
\(220\) 2.06211 + 3.57169i 0.139028 + 0.240803i
\(221\) 0.766458 + 16.0209i 0.0515575 + 1.07768i
\(222\) 0.174658 0.302517i 0.0117223 0.0203036i
\(223\) −24.4234 + 14.1009i −1.63551 + 0.944263i −0.653159 + 0.757220i \(0.726557\pi\)
−0.982352 + 0.187042i \(0.940110\pi\)
\(224\) 3.64047 + 6.30547i 0.243239 + 0.421302i
\(225\) 16.8404 1.12269
\(226\) 1.02253 + 0.590356i 0.0680175 + 0.0392699i
\(227\) 19.4653 + 11.2383i 1.29196 + 0.745913i 0.979001 0.203855i \(-0.0653470\pi\)
0.312957 + 0.949767i \(0.398680\pi\)
\(228\) 18.7819 + 10.8438i 1.24386 + 0.718146i
\(229\) 7.09051 4.09371i 0.468554 0.270520i −0.247080 0.968995i \(-0.579471\pi\)
0.715634 + 0.698475i \(0.246138\pi\)
\(230\) −0.0773798 + 0.134026i −0.00510227 + 0.00883740i
\(231\) −7.70181 13.3399i −0.506742 0.877703i
\(232\) 3.71547i 0.243932i
\(233\) 2.12578 0.139265 0.0696323 0.997573i \(-0.477817\pi\)
0.0696323 + 0.997573i \(0.477817\pi\)
\(234\) −1.85217 2.88073i −0.121080 0.188319i
\(235\) −0.137599 + 0.238328i −0.00897595 + 0.0155468i
\(236\) −19.1601 + 11.0621i −1.24722 + 0.720082i
\(237\) 5.52754 9.57398i 0.359052 0.621897i
\(238\) 1.39283 2.41246i 0.0902839 0.156376i
\(239\) −7.07031 4.08204i −0.457340 0.264045i 0.253585 0.967313i \(-0.418390\pi\)
−0.710925 + 0.703268i \(0.751724\pi\)
\(240\) 10.8952i 0.703284i
\(241\) −19.6980 + 11.3727i −1.26886 + 0.732577i −0.974772 0.223201i \(-0.928349\pi\)
−0.294088 + 0.955778i \(0.595016\pi\)
\(242\) −1.34250 + 0.775094i −0.0862994 + 0.0498250i
\(243\) −9.61804 + 16.6589i −0.616997 + 1.06867i
\(244\) 10.3817 0.664623
\(245\) 1.27124 0.733953i 0.0812168 0.0468905i
\(246\) 4.51903 0.288123
\(247\) −14.7144 + 0.703952i −0.936253 + 0.0447914i
\(248\) −1.37426 4.56375i −0.0872654 0.289798i
\(249\) 38.6846i 2.45154i
\(250\) −2.06225 −0.130428
\(251\) 8.40806 + 14.5632i 0.530712 + 0.919221i 0.999358 + 0.0358343i \(0.0114088\pi\)
−0.468646 + 0.883386i \(0.655258\pi\)
\(252\) 24.7745i 1.56064i
\(253\) −1.12590 0.650038i −0.0707847 0.0408675i
\(254\) −3.38308 + 1.95322i −0.212273 + 0.122556i
\(255\) 11.2807 6.51293i 0.706427 0.407856i
\(256\) 12.3791 0.773695
\(257\) −11.6255 + 20.1359i −0.725177 + 1.25604i 0.233725 + 0.972303i \(0.424909\pi\)
−0.958901 + 0.283740i \(0.908425\pi\)
\(258\) 2.19849 + 1.26930i 0.136872 + 0.0790231i
\(259\) −0.858200 + 1.48645i −0.0533260 + 0.0923633i
\(260\) −4.10320 6.38183i −0.254470 0.395784i
\(261\) 9.51931 16.4879i 0.589231 1.02058i
\(262\) 0.918068 0.530047i 0.0567184 0.0327464i
\(263\) −21.7782 −1.34290 −0.671451 0.741049i \(-0.734328\pi\)
−0.671451 + 0.741049i \(0.734328\pi\)
\(264\) 4.55979 0.280636
\(265\) 3.07701 1.77652i 0.189020 0.109130i
\(266\) 2.21572 + 1.27924i 0.135854 + 0.0784355i
\(267\) 12.6447 7.30044i 0.773845 0.446779i
\(268\) 15.9940 + 9.23413i 0.976988 + 0.564064i
\(269\) −13.7118 + 23.7495i −0.836020 + 1.44803i 0.0571764 + 0.998364i \(0.481790\pi\)
−0.893197 + 0.449666i \(0.851543\pi\)
\(270\) −0.439555 + 0.761331i −0.0267504 + 0.0463331i
\(271\) 10.2933i 0.625271i −0.949873 0.312635i \(-0.898788\pi\)
0.949873 0.312635i \(-0.101212\pi\)
\(272\) −8.27605 14.3345i −0.501810 0.869160i
\(273\) 15.3251 + 23.8356i 0.927516 + 1.44259i
\(274\) −1.56857 + 2.71684i −0.0947606 + 0.164130i
\(275\) 7.52455i 0.453747i
\(276\) −1.76053 3.04933i −0.105971 0.183548i
\(277\) −25.6564 −1.54154 −0.770772 0.637111i \(-0.780129\pi\)
−0.770772 + 0.637111i \(0.780129\pi\)
\(278\) 4.58290i 0.274864i
\(279\) −5.59421 + 23.7733i −0.334917 + 1.42327i
\(280\) 2.66706i 0.159388i
\(281\) 10.7924i 0.643819i 0.946771 + 0.321909i \(0.104325\pi\)
−0.946771 + 0.321909i \(0.895675\pi\)
\(282\) 0.0751630 + 0.130186i 0.00447589 + 0.00775248i
\(283\) −1.13064 −0.0672096 −0.0336048 0.999435i \(-0.510699\pi\)
−0.0336048 + 0.999435i \(0.510699\pi\)
\(284\) −13.3556 7.71085i −0.792508 0.457555i
\(285\) 5.98179 + 10.3608i 0.354331 + 0.613719i
\(286\) −1.28715 + 0.827576i −0.0761110 + 0.0489356i
\(287\) −22.2047 −1.31070
\(288\) 9.56449 + 5.52206i 0.563593 + 0.325391i
\(289\) −1.39449 + 2.41532i −0.0820287 + 0.142078i
\(290\) −0.506317 + 0.876967i −0.0297320 + 0.0514973i
\(291\) −4.01532 + 2.31825i −0.235382 + 0.135898i
\(292\) −0.486522 0.280894i −0.0284715 0.0164381i
\(293\) −8.91703 + 5.14825i −0.520938 + 0.300764i −0.737318 0.675545i \(-0.763908\pi\)
0.216380 + 0.976309i \(0.430575\pi\)
\(294\) 0.801840i 0.0467643i
\(295\) −12.2045 −0.710573
\(296\) −0.254045 0.440019i −0.0147661 0.0255756i
\(297\) −6.39565 3.69253i −0.371113 0.214262i
\(298\) 1.41390 + 2.44894i 0.0819049 + 0.141863i
\(299\) 2.12603 + 1.09549i 0.122951 + 0.0633539i
\(300\) 10.1895 17.6488i 0.588294 1.01895i
\(301\) −10.8025 6.23682i −0.622645 0.359484i
\(302\) −4.64571 −0.267330
\(303\) −11.3039 19.5789i −0.649390 1.12478i
\(304\) 13.1655 7.60113i 0.755096 0.435955i
\(305\) 4.95967 + 2.86346i 0.283990 + 0.163962i
\(306\) 4.22545i 0.241553i
\(307\) 2.74732 1.58616i 0.156798 0.0905272i −0.419548 0.907733i \(-0.637811\pi\)
0.576346 + 0.817206i \(0.304478\pi\)
\(308\) −11.0696 −0.630749
\(309\) −9.31036 −0.529648
\(310\) 0.297547 1.26446i 0.0168995 0.0718166i
\(311\) −12.7270 −0.721682 −0.360841 0.932627i \(-0.617510\pi\)
−0.360841 + 0.932627i \(0.617510\pi\)
\(312\) −8.37879 + 0.400851i −0.474356 + 0.0226937i
\(313\) 5.03964 + 8.72891i 0.284857 + 0.493387i 0.972575 0.232592i \(-0.0747205\pi\)
−0.687717 + 0.725978i \(0.741387\pi\)
\(314\) 0.0442144i 0.00249517i
\(315\) 6.83322 11.8355i 0.385008 0.666854i
\(316\) −3.97229 6.88020i −0.223459 0.387042i
\(317\) 28.7576 16.6032i 1.61519 0.932530i 0.627049 0.778980i \(-0.284263\pi\)
0.988141 0.153550i \(-0.0490707\pi\)
\(318\) 1.94084i 0.108837i
\(319\) −7.36706 4.25337i −0.412476 0.238143i
\(320\) 6.43480 + 3.71514i 0.359716 + 0.207682i
\(321\) 19.6096 33.9647i 1.09450 1.89573i
\(322\) −0.207691 0.359731i −0.0115741 0.0200470i
\(323\) −15.7401 9.08758i −0.875805 0.505646i
\(324\) 2.85010 + 4.93652i 0.158339 + 0.274251i
\(325\) 0.661482 + 13.8266i 0.0366924 + 0.766964i
\(326\) 1.80709 0.100085
\(327\) −33.3743 + 19.2687i −1.84560 + 1.06556i
\(328\) 3.28652 5.69243i 0.181468 0.314312i
\(329\) −0.369321 0.639682i −0.0203613 0.0352668i
\(330\) 1.07625 + 0.621375i 0.0592458 + 0.0342056i
\(331\) 4.91037 + 2.83500i 0.269898 + 0.155826i 0.628841 0.777534i \(-0.283529\pi\)
−0.358943 + 0.933359i \(0.616863\pi\)
\(332\) −24.0757 13.9001i −1.32132 0.762867i
\(333\) 2.60353i 0.142673i
\(334\) −0.920756 1.59480i −0.0503815 0.0872634i
\(335\) 5.09386 + 8.82283i 0.278307 + 0.482043i
\(336\) −25.3254 14.6216i −1.38161 0.797675i
\(337\) 21.0424 1.14625 0.573127 0.819467i \(-0.305730\pi\)
0.573127 + 0.819467i \(0.305730\pi\)
\(338\) 2.29244 1.63386i 0.124692 0.0888701i
\(339\) −14.8187 −0.804843
\(340\) 9.36085i 0.507664i
\(341\) 10.6223 + 2.49958i 0.575227 + 0.135360i
\(342\) 3.88086 0.209853
\(343\) 16.3026i 0.880258i
\(344\) 3.19776 1.84623i 0.172412 0.0995419i
\(345\) 1.94234i 0.104572i
\(346\) 4.64259 + 2.68040i 0.249587 + 0.144099i
\(347\) −3.45932 5.99172i −0.185706 0.321653i 0.758108 0.652129i \(-0.226124\pi\)
−0.943814 + 0.330476i \(0.892791\pi\)
\(348\) −11.5196 19.9526i −0.617516 1.06957i
\(349\) 20.4459i 1.09444i 0.836988 + 0.547221i \(0.184314\pi\)
−0.836988 + 0.547221i \(0.815686\pi\)
\(350\) 1.20207 2.08204i 0.0642531 0.111290i
\(351\) 12.0769 + 6.22292i 0.644615 + 0.332155i
\(352\) 2.46734 4.27356i 0.131510 0.227782i
\(353\) −10.3755 + 5.99032i −0.552234 + 0.318832i −0.750022 0.661412i \(-0.769957\pi\)
0.197789 + 0.980245i \(0.436624\pi\)
\(354\) −3.33334 + 5.77351i −0.177165 + 0.306859i
\(355\) −4.25357 7.36740i −0.225756 0.391021i
\(356\) 10.4927i 0.556113i
\(357\) 34.9620i 1.85038i
\(358\) 2.93203 1.69281i 0.154963 0.0894678i
\(359\) 26.0022 + 15.0124i 1.37234 + 0.792322i 0.991223 0.132204i \(-0.0422054\pi\)
0.381119 + 0.924526i \(0.375539\pi\)
\(360\) 2.02278 + 3.50355i 0.106610 + 0.184653i
\(361\) −1.15353 + 1.99797i −0.0607120 + 0.105156i
\(362\) −0.0359912 0.0207795i −0.00189165 0.00109215i
\(363\) 9.72796 16.8493i 0.510585 0.884360i
\(364\) 20.3408 0.973127i 1.06615 0.0510057i
\(365\) −0.154951 0.268382i −0.00811049 0.0140478i
\(366\) 2.70921 1.56416i 0.141613 0.0817601i
\(367\) −4.65412 + 8.06117i −0.242943 + 0.420790i −0.961551 0.274626i \(-0.911446\pi\)
0.718608 + 0.695415i \(0.244779\pi\)
\(368\) −2.46815 −0.128661
\(369\) −29.1689 + 16.8407i −1.51847 + 0.876689i
\(370\) 0.138478i 0.00719911i
\(371\) 9.53648i 0.495109i
\(372\) 21.5296 + 20.2471i 1.11626 + 1.04977i
\(373\) 22.1171 1.14518 0.572589 0.819843i \(-0.305939\pi\)
0.572589 + 0.819843i \(0.305939\pi\)
\(374\) −1.88800 −0.0976259
\(375\) 22.4150 12.9413i 1.15751 0.668286i
\(376\) 0.218653 0.0112762
\(377\) 13.9112 + 7.16810i 0.716461 + 0.369176i
\(378\) −1.17978 2.04344i −0.0606815 0.105103i
\(379\) 3.68888 2.12978i 0.189485 0.109399i −0.402256 0.915527i \(-0.631774\pi\)
0.591742 + 0.806128i \(0.298441\pi\)
\(380\) 8.59746 0.441041
\(381\) 24.5142 42.4599i 1.25590 2.17529i
\(382\) −4.08522 2.35860i −0.209018 0.120677i
\(383\) 19.5460 + 11.2849i 0.998751 + 0.576629i 0.907879 0.419233i \(-0.137701\pi\)
0.0908728 + 0.995863i \(0.471034\pi\)
\(384\) 15.3672 8.87224i 0.784203 0.452760i
\(385\) −5.28827 3.05319i −0.269515 0.155605i
\(386\) −2.62436 4.54552i −0.133576 0.231361i
\(387\) −18.9207 −0.961793
\(388\) 3.33195i 0.169154i
\(389\) −3.81794 6.61287i −0.193577 0.335286i 0.752856 0.658185i \(-0.228676\pi\)
−0.946433 + 0.322900i \(0.895342\pi\)
\(390\) −2.03228 1.04719i −0.102909 0.0530264i
\(391\) 1.47541 + 2.55548i 0.0746145 + 0.129236i
\(392\) −1.01004 0.583149i −0.0510149 0.0294535i
\(393\) −6.65244 + 11.5224i −0.335571 + 0.581227i
\(394\) −0.614337 + 1.06406i −0.0309499 + 0.0536067i
\(395\) 4.38250i 0.220508i
\(396\) −14.5414 + 8.39549i −0.730734 + 0.421889i
\(397\) −7.76424 + 4.48269i −0.389676 + 0.224980i −0.682020 0.731334i \(-0.738898\pi\)
0.292344 + 0.956313i \(0.405565\pi\)
\(398\) 3.01711 + 1.74193i 0.151234 + 0.0873150i
\(399\) −32.1108 −1.60755
\(400\) −7.14255 12.3713i −0.357127 0.618563i
\(401\) 35.4154i 1.76856i −0.466955 0.884281i \(-0.654649\pi\)
0.466955 0.884281i \(-0.345351\pi\)
\(402\) 5.56502 0.277558
\(403\) −19.7385 3.65927i −0.983246 0.182281i
\(404\) −16.2467 −0.808305
\(405\) 3.14443i 0.156248i
\(406\) −1.35898 2.35381i −0.0674448 0.116818i
\(407\) 1.16330 0.0576625
\(408\) −8.96290 5.17473i −0.443730 0.256187i
\(409\) 14.9021 8.60372i 0.736860 0.425426i −0.0840665 0.996460i \(-0.526791\pi\)
0.820927 + 0.571034i \(0.193457\pi\)
\(410\) 1.55145 0.895727i 0.0766204 0.0442368i
\(411\) 39.3732i 1.94213i
\(412\) −3.34538 + 5.79437i −0.164815 + 0.285468i
\(413\) 16.3787 28.3687i 0.805942 1.39593i
\(414\) −0.545660 0.315037i −0.0268177 0.0154832i
\(415\) −7.66777 13.2810i −0.376396 0.651937i
\(416\) −4.15814 + 8.06973i −0.203870 + 0.395651i
\(417\) 28.7593 + 49.8125i 1.40835 + 2.43933i
\(418\) 1.73403i 0.0848140i
\(419\) 26.3377 1.28668 0.643341 0.765580i \(-0.277548\pi\)
0.643341 + 0.765580i \(0.277548\pi\)
\(420\) −8.26909 14.3225i −0.403490 0.698866i
\(421\) −10.0044 5.77603i −0.487583 0.281506i 0.235988 0.971756i \(-0.424167\pi\)
−0.723571 + 0.690250i \(0.757501\pi\)
\(422\) −1.37172 + 0.791965i −0.0667744 + 0.0385522i
\(423\) −0.970306 0.560206i −0.0471779 0.0272382i
\(424\) −2.44479 1.41150i −0.118729 0.0685484i
\(425\) −8.53932 + 14.7905i −0.414218 + 0.717446i
\(426\) −4.64701 −0.225148
\(427\) −13.3119 + 7.68566i −0.644210 + 0.371935i
\(428\) −14.0921 24.4083i −0.681169 1.17982i
\(429\) 8.79702 17.0724i 0.424724 0.824264i
\(430\) 1.00636 0.0485311
\(431\) −0.0776939 + 0.0448566i −0.00374239 + 0.00216067i −0.501870 0.864943i \(-0.667354\pi\)
0.498128 + 0.867104i \(0.334021\pi\)
\(432\) −14.0203 −0.674551
\(433\) 26.7326 1.28469 0.642344 0.766416i \(-0.277962\pi\)
0.642344 + 0.766416i \(0.277962\pi\)
\(434\) 2.53986 + 2.38857i 0.121917 + 0.114655i
\(435\) 12.7092i 0.609361i
\(436\) 27.6943i 1.32632i
\(437\) −2.34707 + 1.35508i −0.112276 + 0.0648225i
\(438\) −0.169283 −0.00808865
\(439\) 0.475013 0.822747i 0.0226711 0.0392676i −0.854467 0.519505i \(-0.826116\pi\)
0.877138 + 0.480238i \(0.159450\pi\)
\(440\) 1.56544 0.903807i 0.0746294 0.0430873i
\(441\) 2.98814 + 5.17562i 0.142293 + 0.246458i
\(442\) 3.46926 0.165973i 0.165016 0.00789455i
\(443\) 14.3958 24.9342i 0.683964 1.18466i −0.289797 0.957088i \(-0.593588\pi\)
0.973761 0.227573i \(-0.0730790\pi\)
\(444\) 2.72851 + 1.57531i 0.129489 + 0.0747608i
\(445\) 2.89407 5.01268i 0.137192 0.237624i
\(446\) 3.05348 + 5.28879i 0.144587 + 0.250431i
\(447\) −30.7359 17.7454i −1.45376 0.839327i
\(448\) −17.2713 + 9.97158i −0.815991 + 0.471113i
\(449\) 27.7320i 1.30875i −0.756169 0.654377i \(-0.772931\pi\)
0.756169 0.654377i \(-0.227069\pi\)
\(450\) 3.64672i 0.171908i
\(451\) 7.52466 + 13.0331i 0.354322 + 0.613704i
\(452\) −5.32464 + 9.22254i −0.250450 + 0.433792i
\(453\) 50.4951 29.1534i 2.37247 1.36974i
\(454\) 2.43361 4.21514i 0.114215 0.197826i
\(455\) 9.98581 + 5.14545i 0.468142 + 0.241223i
\(456\) 4.75272 8.23196i 0.222567 0.385497i
\(457\) 26.0706i 1.21953i 0.792582 + 0.609765i \(0.208736\pi\)
−0.792582 + 0.609765i \(0.791264\pi\)
\(458\) −0.886477 1.53542i −0.0414223 0.0717456i
\(459\) 8.38101 + 14.5163i 0.391192 + 0.677565i
\(460\) −1.20883 0.697917i −0.0563619 0.0325405i
\(461\) 1.87261i 0.0872160i 0.999049 + 0.0436080i \(0.0138853\pi\)
−0.999049 + 0.0436080i \(0.986115\pi\)
\(462\) −2.88871 + 1.66780i −0.134395 + 0.0775929i
\(463\) 2.06017i 0.0957441i −0.998853 0.0478720i \(-0.984756\pi\)
0.998853 0.0478720i \(-0.0152440\pi\)
\(464\) −16.1498 −0.749734
\(465\) 4.70082 + 15.6109i 0.217995 + 0.723938i
\(466\) 0.460330i 0.0213244i
\(467\) 25.5423 1.18196 0.590979 0.806687i \(-0.298741\pi\)
0.590979 + 0.806687i \(0.298741\pi\)
\(468\) 25.9824 16.7054i 1.20104 0.772206i
\(469\) −27.3443 −1.26264
\(470\) 0.0516090 + 0.0297965i 0.00238054 + 0.00137441i
\(471\) −0.277461 0.480576i −0.0127847 0.0221438i
\(472\) 4.84843 + 8.39772i 0.223167 + 0.386536i
\(473\) 8.45406i 0.388718i
\(474\) −2.07321 1.19697i −0.0952255 0.0549785i
\(475\) −13.5843 7.84292i −0.623292 0.359858i
\(476\) 21.7588 + 12.5625i 0.997314 + 0.575799i
\(477\) 7.23273 + 12.5275i 0.331164 + 0.573593i
\(478\) −0.883950 + 1.53105i −0.0404309 + 0.0700284i
\(479\) −35.3344 + 20.4004i −1.61447 + 0.932116i −0.626156 + 0.779698i \(0.715373\pi\)
−0.988316 + 0.152418i \(0.951294\pi\)
\(480\) 7.37251 0.336507
\(481\) −2.13760 + 0.102265i −0.0974663 + 0.00466290i
\(482\) 2.46270 + 4.26553i 0.112173 + 0.194289i
\(483\) 4.51486 + 2.60666i 0.205433 + 0.118607i
\(484\) −6.99086 12.1085i −0.317766 0.550387i
\(485\) −0.919010 + 1.59177i −0.0417301 + 0.0722786i
\(486\) 3.60743 + 2.08275i 0.163636 + 0.0944754i
\(487\) 25.0470 + 14.4609i 1.13499 + 0.655287i 0.945185 0.326535i \(-0.105881\pi\)
0.189805 + 0.981822i \(0.439215\pi\)
\(488\) 4.55023i 0.205979i
\(489\) −19.6416 + 11.3401i −0.888225 + 0.512817i
\(490\) −0.158935 0.275283i −0.00717993 0.0124360i
\(491\) 14.1441 24.4983i 0.638313 1.10559i −0.347489 0.937684i \(-0.612966\pi\)
0.985803 0.167907i \(-0.0537010\pi\)
\(492\) 40.7588i 1.83755i
\(493\) 9.65398 + 16.7212i 0.434793 + 0.753084i
\(494\) 0.152438 + 3.18634i 0.00685851 + 0.143360i
\(495\) −9.26249 −0.416318
\(496\) 19.8369 5.97339i 0.890705 0.268213i
\(497\) 22.8335 1.02422
\(498\) −8.37701 −0.375383
\(499\) −14.5917 + 8.42449i −0.653212 + 0.377132i −0.789686 0.613512i \(-0.789756\pi\)
0.136474 + 0.990644i \(0.456423\pi\)
\(500\) 18.6002i 0.831825i
\(501\) 20.0158 + 11.5561i 0.894239 + 0.516289i
\(502\) 3.15360 1.82073i 0.140752 0.0812633i
\(503\) 6.38581 + 11.0605i 0.284729 + 0.493165i 0.972543 0.232721i \(-0.0747630\pi\)
−0.687814 + 0.725887i \(0.741430\pi\)
\(504\) −10.8584 −0.483673
\(505\) −7.76154 4.48113i −0.345384 0.199408i
\(506\) −0.140763 + 0.243809i −0.00625769 + 0.0108386i
\(507\) −14.6640 + 32.1446i −0.651252 + 1.42759i
\(508\) −17.6168 30.5132i −0.781619 1.35380i
\(509\) −20.0967 11.6028i −0.890770 0.514286i −0.0165755 0.999863i \(-0.505276\pi\)
−0.874194 + 0.485577i \(0.838610\pi\)
\(510\) −1.41035 2.44280i −0.0624513 0.108169i
\(511\) 0.831787 0.0367961
\(512\) 15.7386i 0.695556i
\(513\) −13.3325 + 7.69753i −0.588645 + 0.339854i
\(514\) 4.36035 + 2.51745i 0.192327 + 0.111040i
\(515\) −3.19637 + 1.84543i −0.140849 + 0.0813193i
\(516\) −11.4483 + 19.8290i −0.503982 + 0.872922i
\(517\) −0.250309 + 0.433547i −0.0110086 + 0.0190674i
\(518\) 0.321884 + 0.185840i 0.0141428 + 0.00816533i
\(519\) −67.2816 −2.95333
\(520\) −2.79710 + 1.79840i −0.122661 + 0.0788649i
\(521\) 8.40806 + 14.5632i 0.368364 + 0.638025i 0.989310 0.145828i \(-0.0465847\pi\)
−0.620946 + 0.783853i \(0.713251\pi\)
\(522\) −3.57040 2.06137i −0.156272 0.0902237i
\(523\) −9.01605 −0.394244 −0.197122 0.980379i \(-0.563160\pi\)
−0.197122 + 0.980379i \(0.563160\pi\)
\(524\) 4.78069 + 8.28039i 0.208845 + 0.361731i
\(525\) 30.1735i 1.31688i
\(526\) 4.71598i 0.205627i
\(527\) −18.0428 16.9680i −0.785958 0.739140i
\(528\) 19.8197i 0.862543i
\(529\) −22.5600 −0.980869
\(530\) −0.384697 0.666315i −0.0167102 0.0289429i
\(531\) 49.6882i 2.15628i
\(532\) −11.5380 + 19.9844i −0.500235 + 0.866432i
\(533\) −14.9726 23.2873i −0.648535 1.00869i
\(534\) −1.58088 2.73817i −0.0684114 0.118492i
\(535\) 15.5474i 0.672173i
\(536\) 4.04724 7.01002i 0.174814 0.302787i
\(537\) −21.2459 + 36.7990i −0.916828 + 1.58799i
\(538\) 5.14285 + 2.96923i 0.221724 + 0.128012i
\(539\) 2.31254 1.33515i 0.0996083 0.0575089i
\(540\) −6.86672 3.96450i −0.295497 0.170605i
\(541\) −12.7800 + 7.37852i −0.549454 + 0.317227i −0.748902 0.662681i \(-0.769418\pi\)
0.199448 + 0.979908i \(0.436085\pi\)
\(542\) −2.22896 −0.0957422
\(543\) 0.521593 0.0223837
\(544\) −9.69979 + 5.60018i −0.415875 + 0.240106i
\(545\) −7.63857 + 13.2304i −0.327200 + 0.566728i
\(546\) 5.16150 3.31859i 0.220892 0.142022i
\(547\) −7.94526 + 13.7616i −0.339715 + 0.588403i −0.984379 0.176063i \(-0.943664\pi\)
0.644664 + 0.764466i \(0.276997\pi\)
\(548\) −24.5042 14.1475i −1.04677 0.604351i
\(549\) −11.6580 + 20.1923i −0.497553 + 0.861787i
\(550\) −1.62941 −0.0694783
\(551\) −15.3575 + 8.86668i −0.654253 + 0.377733i
\(552\) −1.33649 + 0.771624i −0.0568849 + 0.0328425i
\(553\) 10.1869 + 5.88141i 0.433191 + 0.250103i
\(554\) 5.55579i 0.236043i
\(555\) 0.868994 + 1.50514i 0.0368867 + 0.0638897i
\(556\) 41.3349 1.75299
\(557\) 11.7837i 0.499291i 0.968337 + 0.249645i \(0.0803140\pi\)
−0.968337 + 0.249645i \(0.919686\pi\)
\(558\) 5.14801 + 1.21140i 0.217933 + 0.0512828i
\(559\) −0.743195 15.5346i −0.0314338 0.657046i
\(560\) −11.5927 −0.489883
\(561\) 20.5210 11.8478i 0.866397 0.500215i
\(562\) 2.33704 0.0985823
\(563\) −4.86382 + 8.42438i −0.204985 + 0.355045i −0.950128 0.311860i \(-0.899048\pi\)
0.745143 + 0.666905i \(0.232381\pi\)
\(564\) −1.17420 + 0.677923i −0.0494426 + 0.0285457i
\(565\) −5.08747 + 2.93725i −0.214032 + 0.123571i
\(566\) 0.244836i 0.0102912i
\(567\) −7.30905 4.21988i −0.306951 0.177219i
\(568\) −3.37960 + 5.85363i −0.141805 + 0.245613i
\(569\) −18.4922 + 32.0295i −0.775234 + 1.34275i 0.159429 + 0.987209i \(0.449035\pi\)
−0.934663 + 0.355536i \(0.884298\pi\)
\(570\) 2.24358 1.29533i 0.0939734 0.0542556i
\(571\) 23.0626 39.9456i 0.965141 1.67167i 0.255905 0.966702i \(-0.417627\pi\)
0.709236 0.704971i \(-0.249040\pi\)
\(572\) −7.46421 11.6093i −0.312094 0.485410i
\(573\) 59.2041 2.47329
\(574\) 4.80834i 0.200696i
\(575\) 1.27333 + 2.20547i 0.0531016 + 0.0919746i
\(576\) −15.1254 + 26.1980i −0.630227 + 1.09158i
\(577\) 28.8138 16.6356i 1.19953 0.692550i 0.239081 0.971000i \(-0.423154\pi\)
0.960451 + 0.278449i \(0.0898204\pi\)
\(578\) 0.523029 + 0.301971i 0.0217551 + 0.0125603i
\(579\) 57.0493 + 32.9375i 2.37089 + 1.36883i
\(580\) −7.90968 4.56666i −0.328432 0.189620i
\(581\) 41.1612 1.70765
\(582\) 0.502007 + 0.869502i 0.0208089 + 0.0360420i
\(583\) 5.59746 3.23169i 0.231823 0.133843i
\(584\) −0.123113 + 0.213238i −0.00509446 + 0.00882386i
\(585\) 17.0202 0.814264i 0.703698 0.0336657i
\(586\) 1.11483 + 1.93095i 0.0460533 + 0.0797667i
\(587\) 6.92154i 0.285683i −0.989746 0.142841i \(-0.954376\pi\)
0.989746 0.142841i \(-0.0456238\pi\)
\(588\) 7.23209 0.298246
\(589\) 15.5843 16.5714i 0.642139 0.682813i
\(590\) 2.64283i 0.108804i
\(591\) 15.4207i 0.634322i
\(592\) 1.91260 1.10424i 0.0786074 0.0453840i
\(593\) 14.0226i 0.575839i 0.957655 + 0.287919i \(0.0929635\pi\)
−0.957655 + 0.287919i \(0.907036\pi\)
\(594\) −0.799602 + 1.38495i −0.0328081 + 0.0568253i
\(595\) 6.92989 + 12.0029i 0.284098 + 0.492071i
\(596\) −22.0879 + 12.7525i −0.904756 + 0.522361i
\(597\) −43.7248 −1.78954
\(598\) 0.237224 0.460383i 0.00970083 0.0188264i
\(599\) 5.52124 9.56307i 0.225592 0.390736i −0.730905 0.682479i \(-0.760902\pi\)
0.956497 + 0.291743i \(0.0942351\pi\)
\(600\) −7.73532 4.46599i −0.315793 0.182323i
\(601\) 2.59974 + 4.50288i 0.106046 + 0.183676i 0.914165 0.405343i \(-0.132848\pi\)
−0.808119 + 0.589019i \(0.799514\pi\)
\(602\) −1.35056 + 2.33923i −0.0550446 + 0.0953401i
\(603\) −35.9204 + 20.7387i −1.46279 + 0.844544i
\(604\) 41.9013i 1.70494i
\(605\) 7.71280i 0.313570i
\(606\) −4.23973 + 2.44781i −0.172227 + 0.0994354i
\(607\) 19.7074 34.1341i 0.799897 1.38546i −0.119786 0.992800i \(-0.538221\pi\)
0.919683 0.392662i \(-0.128446\pi\)
\(608\) −5.14348 8.90876i −0.208595 0.361298i
\(609\) 29.5420 + 17.0561i 1.19710 + 0.691146i
\(610\) 0.620072 1.07400i 0.0251060 0.0434848i
\(611\) 0.421838 0.818664i 0.0170658 0.0331196i
\(612\) 38.1109 1.54054
\(613\) 11.5373 6.66106i 0.465987 0.269038i −0.248571 0.968614i \(-0.579961\pi\)
0.714558 + 0.699576i \(0.246628\pi\)
\(614\) −0.343478 0.594921i −0.0138616 0.0240091i
\(615\) −11.2420 + 19.4717i −0.453320 + 0.785174i
\(616\) 4.85171i 0.195481i
\(617\) 2.04390 1.18005i 0.0822843 0.0475069i −0.458293 0.888801i \(-0.651539\pi\)
0.540578 + 0.841294i \(0.318206\pi\)
\(618\) 2.01612i 0.0811003i
\(619\) 9.60526i 0.386068i 0.981192 + 0.193034i \(0.0618328\pi\)
−0.981192 + 0.193034i \(0.938167\pi\)
\(620\) 11.4046 + 2.68369i 0.458021 + 0.107779i
\(621\) 2.49945 0.100300
\(622\) 2.75598i 0.110505i
\(623\) 7.76780 + 13.4542i 0.311211 + 0.539032i
\(624\) −1.74235 36.4195i −0.0697499 1.45795i
\(625\) −4.46776 + 7.73839i −0.178711 + 0.309536i
\(626\) 1.89021 1.09131i 0.0755480 0.0436177i
\(627\) 10.8816 + 18.8475i 0.434569 + 0.752696i
\(628\) −0.398786 −0.0159133
\(629\) −2.28662 1.32018i −0.0911735 0.0526391i
\(630\) −2.56293 1.47971i −0.102109 0.0589529i
\(631\) 17.6572 + 10.1944i 0.702922 + 0.405832i 0.808435 0.588586i \(-0.200315\pi\)
−0.105513 + 0.994418i \(0.533648\pi\)
\(632\) −3.01553 + 1.74102i −0.119951 + 0.0692540i
\(633\) 9.93969 17.2160i 0.395067 0.684277i
\(634\) −3.59536 6.22735i −0.142790 0.247320i
\(635\) 19.4361i 0.771297i
\(636\) 17.5051 0.694123
\(637\) −4.13201 + 2.65668i −0.163716 + 0.105262i
\(638\) −0.921051 + 1.59531i −0.0364648 + 0.0631588i
\(639\) 29.9949 17.3176i 1.18658 0.685073i
\(640\) 3.51717 6.09192i 0.139028 0.240804i
\(641\) 16.7963 29.0920i 0.663413 1.14907i −0.316300 0.948659i \(-0.602441\pi\)
0.979713 0.200406i \(-0.0642261\pi\)
\(642\) −7.35493 4.24637i −0.290276 0.167591i
\(643\) 0.727035i 0.0286714i −0.999897 0.0143357i \(-0.995437\pi\)
0.999897 0.0143357i \(-0.00456336\pi\)
\(644\) 3.24454 1.87324i 0.127853 0.0738159i
\(645\) −10.9383 + 6.31526i −0.430697 + 0.248663i
\(646\) −1.96788 + 3.40847i −0.0774252 + 0.134104i
\(647\) 32.8776 1.29255 0.646276 0.763104i \(-0.276325\pi\)
0.646276 + 0.763104i \(0.276325\pi\)
\(648\) 2.16363 1.24917i 0.0849955 0.0490722i
\(649\) −22.2014 −0.871482
\(650\) 2.99410 0.143241i 0.117438 0.00561839i
\(651\) −42.5953 10.0233i −1.66944 0.392845i
\(652\) 16.2988i 0.638311i
\(653\) 8.29740 0.324702 0.162351 0.986733i \(-0.448092\pi\)
0.162351 + 0.986733i \(0.448092\pi\)
\(654\) 4.17255 + 7.22708i 0.163160 + 0.282601i
\(655\) 5.27438i 0.206087i
\(656\) 24.7429 + 14.2853i 0.966047 + 0.557747i
\(657\) 1.09267 0.630851i 0.0426290 0.0246118i
\(658\) −0.138521 + 0.0799749i −0.00540010 + 0.00311775i
\(659\) 27.7760 1.08200 0.541000 0.841023i \(-0.318046\pi\)
0.541000 + 0.841023i \(0.318046\pi\)
\(660\) −5.60441 + 9.70713i −0.218151 + 0.377849i
\(661\) 5.17216 + 2.98615i 0.201174 + 0.116148i 0.597203 0.802090i \(-0.296279\pi\)
−0.396029 + 0.918238i \(0.629612\pi\)
\(662\) 0.613908 1.06332i 0.0238602 0.0413271i
\(663\) −36.6666 + 23.5748i −1.42401 + 0.915569i
\(664\) −6.09229 + 10.5521i −0.236427 + 0.409503i
\(665\) −11.0241 + 6.36474i −0.427495 + 0.246814i
\(666\) 0.563785 0.0218462
\(667\) 2.87908 0.111479
\(668\) 14.3841 8.30464i 0.556536 0.321316i
\(669\) −66.3779 38.3233i −2.56632 1.48166i
\(670\) 1.91055 1.10306i 0.0738109 0.0426148i
\(671\) 9.02223 + 5.20899i 0.348299 + 0.201091i
\(672\) −9.89405 + 17.1370i −0.381671 + 0.661074i
\(673\) −7.18552 + 12.4457i −0.276982 + 0.479746i −0.970633 0.240565i \(-0.922667\pi\)
0.693652 + 0.720311i \(0.256001\pi\)
\(674\) 4.55665i 0.175516i
\(675\) 7.23313 + 12.5281i 0.278403 + 0.482209i
\(676\) 14.7363 + 20.6764i 0.566783 + 0.795245i
\(677\) 6.22535 10.7826i 0.239260 0.414410i −0.721242 0.692683i \(-0.756429\pi\)
0.960502 + 0.278273i \(0.0897619\pi\)
\(678\) 3.20894i 0.123238i
\(679\) −2.46666 4.27238i −0.0946617 0.163959i
\(680\) −4.10278 −0.157334
\(681\) 61.0869i 2.34086i
\(682\) 0.541274 2.30021i 0.0207264 0.0880795i
\(683\) 38.4734i 1.47214i 0.676903 + 0.736072i \(0.263322\pi\)
−0.676903 + 0.736072i \(0.736678\pi\)
\(684\) 35.0029i 1.33837i
\(685\) −7.80424 13.5173i −0.298185 0.516471i
\(686\) −3.53027 −0.134786
\(687\) 19.2706 + 11.1259i 0.735219 + 0.424479i
\(688\) 8.02487 + 13.8995i 0.305945 + 0.529913i
\(689\) −10.0014 + 6.43043i −0.381025 + 0.244980i
\(690\) −0.420605 −0.0160122
\(691\) −17.3900 10.0401i −0.661548 0.381945i 0.131318 0.991340i \(-0.458079\pi\)
−0.792867 + 0.609395i \(0.791412\pi\)
\(692\) −24.1755 + 41.8732i −0.919014 + 1.59178i
\(693\) 12.4304 21.5302i 0.472194 0.817863i
\(694\) −1.29748 + 0.749103i −0.0492518 + 0.0284355i
\(695\) 19.7469 + 11.4009i 0.749042 + 0.432460i
\(696\) −8.74503 + 5.04895i −0.331480 + 0.191380i
\(697\) 34.1578i 1.29382i
\(698\) 4.42747 0.167582
\(699\) 2.88872 + 5.00342i 0.109262 + 0.189247i
\(700\) 18.7787 + 10.8419i 0.709767 + 0.409784i
\(701\) 11.6336 + 20.1499i 0.439394 + 0.761053i 0.997643 0.0686208i \(-0.0218599\pi\)
−0.558249 + 0.829674i \(0.688527\pi\)
\(702\) 1.34755 2.61519i 0.0508599 0.0987042i
\(703\) 1.21252 2.10014i 0.0457310 0.0792084i
\(704\) 11.7057 + 6.75828i 0.441174 + 0.254712i
\(705\) −0.747931 −0.0281687
\(706\) 1.29718 + 2.24678i 0.0488200 + 0.0845587i
\(707\) 20.8323 12.0275i 0.783479 0.452342i
\(708\) −52.0734 30.0646i −1.95704 1.12990i
\(709\) 3.26759i 0.122717i −0.998116 0.0613584i \(-0.980457\pi\)
0.998116 0.0613584i \(-0.0195433\pi\)
\(710\) −1.59538 + 0.921094i −0.0598736 + 0.0345680i
\(711\) 17.8425 0.669146
\(712\) −4.59886 −0.172350
\(713\) −3.53641 + 1.06490i −0.132440 + 0.0398808i
\(714\) 7.57087 0.283333
\(715\) −0.363826 7.60487i −0.0136063 0.284406i
\(716\) 15.2681 + 26.4451i 0.570595 + 0.988299i
\(717\) 22.1883i 0.828639i
\(718\) 3.25087 5.63067i 0.121321 0.210135i
\(719\) −6.07474 10.5218i −0.226549 0.392395i 0.730234 0.683197i \(-0.239411\pi\)
−0.956783 + 0.290802i \(0.906078\pi\)
\(720\) −15.2286 + 8.79226i −0.567538 + 0.327668i
\(721\) 9.90641i 0.368934i
\(722\) 0.432652 + 0.249792i 0.0161016 + 0.00929629i
\(723\) −53.5352 30.9086i −1.99100 1.14950i
\(724\) 0.187418 0.324617i 0.00696533 0.0120643i
\(725\) 8.33174 + 14.4310i 0.309433 + 0.535954i
\(726\) −3.64865 2.10655i −0.135414 0.0781814i
\(727\) 15.3228 + 26.5399i 0.568293 + 0.984312i 0.996735 + 0.0807426i \(0.0257292\pi\)
−0.428442 + 0.903569i \(0.640937\pi\)
\(728\) −0.426513 8.91520i −0.0158076 0.330419i
\(729\) −43.5242 −1.61201
\(730\) −0.0581171 + 0.0335539i −0.00215101 + 0.00124189i
\(731\) 9.59418 16.6176i 0.354854 0.614624i
\(732\) 14.1077 + 24.4353i 0.521437 + 0.903156i
\(733\) 18.8745 + 10.8972i 0.697146 + 0.402498i 0.806284 0.591529i \(-0.201475\pi\)
−0.109137 + 0.994027i \(0.534809\pi\)
\(734\) 1.74561 + 1.00783i 0.0644318 + 0.0371997i
\(735\) 3.45498 + 1.99474i 0.127439 + 0.0735769i
\(736\) 1.67013i 0.0615618i
\(737\) 9.26635 + 16.0498i 0.341330 + 0.591201i
\(738\) 3.64678 + 6.31640i 0.134240 + 0.232510i
\(739\) −17.6198 10.1728i −0.648156 0.374213i 0.139593 0.990209i \(-0.455421\pi\)
−0.787750 + 0.615996i \(0.788754\pi\)
\(740\) 1.24898 0.0459134
\(741\) −21.6522 33.6764i −0.795415 1.23713i
\(742\) 2.06509 0.0758117
\(743\) 41.2679i 1.51397i 0.653431 + 0.756986i \(0.273329\pi\)
−0.653431 + 0.756986i \(0.726671\pi\)
\(744\) 8.87414 9.43624i 0.325342 0.345949i
\(745\) −14.0694 −0.515463
\(746\) 4.78936i 0.175351i
\(747\) 54.0708 31.2178i 1.97835 1.14220i
\(748\) 17.0285i 0.622624i
\(749\) 36.1391 + 20.8649i 1.32050 + 0.762388i
\(750\) −2.80239 4.85388i −0.102329 0.177239i
\(751\) −25.0093 43.3173i −0.912602 1.58067i −0.810375 0.585911i \(-0.800737\pi\)
−0.102226 0.994761i \(-0.532597\pi\)
\(752\) 0.950404i 0.0346577i
\(753\) −22.8514 + 39.5798i −0.832752 + 1.44237i
\(754\) 1.55222 3.01241i 0.0565286 0.109705i
\(755\) 11.5571 20.0175i 0.420606 0.728511i
\(756\) 18.4306 10.6409i 0.670313 0.387005i
\(757\) −15.6416 + 27.0921i −0.568505 + 0.984680i 0.428209 + 0.903680i \(0.359145\pi\)
−0.996714 + 0.0810000i \(0.974189\pi\)
\(758\) −0.461195 0.798813i −0.0167514 0.0290142i
\(759\) 3.53334i 0.128252i
\(760\) 3.76819i 0.136687i
\(761\) −34.9676 + 20.1885i −1.26757 + 0.731834i −0.974528 0.224265i \(-0.928002\pi\)
−0.293045 + 0.956099i \(0.594669\pi\)
\(762\) −9.19452 5.30846i −0.333082 0.192305i
\(763\) −20.5022 35.5109i −0.742231 1.28558i
\(764\) 21.2731 36.8461i 0.769634 1.33305i