Properties

Label 804.2.e.b.535.4
Level 804
Weight 2
Character 804.535
Analytic conductor 6.420
Analytic rank 0
Dimension 34
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.e (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(34\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 535.4
Character \(\chi\) = 804.535
Dual form 804.2.e.b.535.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36992 + 0.351182i) q^{2} +1.00000 q^{3} +(1.75334 - 0.962180i) q^{4} +3.58679i q^{5} +(-1.36992 + 0.351182i) q^{6} -4.07396 q^{7} +(-2.06403 + 1.93385i) q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(-1.36992 + 0.351182i) q^{2} +1.00000 q^{3} +(1.75334 - 0.962180i) q^{4} +3.58679i q^{5} +(-1.36992 + 0.351182i) q^{6} -4.07396 q^{7} +(-2.06403 + 1.93385i) q^{8} +1.00000 q^{9} +(-1.25962 - 4.91361i) q^{10} +4.30204 q^{11} +(1.75334 - 0.962180i) q^{12} +0.588657i q^{13} +(5.58098 - 1.43070i) q^{14} +3.58679i q^{15} +(2.14842 - 3.37406i) q^{16} +0.330562 q^{17} +(-1.36992 + 0.351182i) q^{18} +5.25211i q^{19} +(3.45114 + 6.28888i) q^{20} -4.07396 q^{21} +(-5.89344 + 1.51080i) q^{22} -0.501468i q^{23} +(-2.06403 + 1.93385i) q^{24} -7.86509 q^{25} +(-0.206726 - 0.806411i) q^{26} +1.00000 q^{27} +(-7.14304 + 3.91988i) q^{28} -5.91148 q^{29} +(-1.25962 - 4.91361i) q^{30} -5.74994 q^{31} +(-1.75825 + 5.37667i) q^{32} +4.30204 q^{33} +(-0.452843 + 0.116088i) q^{34} -14.6124i q^{35} +(1.75334 - 0.962180i) q^{36} -1.03067 q^{37} +(-1.84445 - 7.19495i) q^{38} +0.588657i q^{39} +(-6.93632 - 7.40326i) q^{40} +7.04610i q^{41} +(5.58098 - 1.43070i) q^{42} -6.86370 q^{43} +(7.54296 - 4.13934i) q^{44} +3.58679i q^{45} +(0.176106 + 0.686969i) q^{46} +10.3763i q^{47} +(2.14842 - 3.37406i) q^{48} +9.59712 q^{49} +(10.7745 - 2.76208i) q^{50} +0.330562 q^{51} +(0.566394 + 1.03212i) q^{52} -8.47969i q^{53} +(-1.36992 + 0.351182i) q^{54} +15.4305i q^{55} +(8.40878 - 7.87842i) q^{56} +5.25211i q^{57} +(8.09823 - 2.07601i) q^{58} -8.93686i q^{59} +(3.45114 + 6.28888i) q^{60} +6.57062i q^{61} +(7.87693 - 2.01927i) q^{62} -4.07396 q^{63} +(0.520460 - 7.98305i) q^{64} -2.11139 q^{65} +(-5.89344 + 1.51080i) q^{66} +(-4.33838 - 6.94107i) q^{67} +(0.579589 - 0.318061i) q^{68} -0.501468i q^{69} +(5.13163 + 20.0178i) q^{70} +0.0930167i q^{71} +(-2.06403 + 1.93385i) q^{72} -6.32174 q^{73} +(1.41193 - 0.361951i) q^{74} -7.86509 q^{75} +(5.05348 + 9.20875i) q^{76} -17.5263 q^{77} +(-0.206726 - 0.806411i) q^{78} +1.43384 q^{79} +(12.1021 + 7.70594i) q^{80} +1.00000 q^{81} +(-2.47446 - 9.65256i) q^{82} +12.5742i q^{83} +(-7.14304 + 3.91988i) q^{84} +1.18566i q^{85} +(9.40270 - 2.41041i) q^{86} -5.91148 q^{87} +(-8.87956 + 8.31950i) q^{88} +18.3287 q^{89} +(-1.25962 - 4.91361i) q^{90} -2.39816i q^{91} +(-0.482502 - 0.879244i) q^{92} -5.74994 q^{93} +(-3.64395 - 14.2146i) q^{94} -18.8382 q^{95} +(-1.75825 + 5.37667i) q^{96} -6.83533i q^{97} +(-13.1473 + 3.37034i) q^{98} +4.30204 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q + 34q^{3} + 2q^{4} + 4q^{7} - 6q^{8} + 34q^{9} + O(q^{10}) \) \( 34q + 34q^{3} + 2q^{4} + 4q^{7} - 6q^{8} + 34q^{9} - 6q^{10} + 2q^{12} - 4q^{14} + 2q^{16} - 12q^{20} + 4q^{21} - 8q^{22} - 6q^{24} - 34q^{25} + 10q^{26} + 34q^{27} - 8q^{28} - 16q^{29} - 6q^{30} - 4q^{31} + 2q^{36} + 12q^{37} + 26q^{38} - 18q^{40} - 4q^{42} - 4q^{43} + 26q^{44} - 4q^{46} + 2q^{48} + 46q^{49} - 18q^{50} + 32q^{52} + 14q^{56} + 4q^{58} - 12q^{60} - 2q^{62} + 4q^{63} + 26q^{64} - 8q^{66} - 18q^{67} - 34q^{68} + 56q^{70} - 6q^{72} + 12q^{73} + 22q^{74} - 34q^{75} - 32q^{76} - 8q^{77} + 10q^{78} - 12q^{79} - 2q^{80} + 34q^{81} + 26q^{82} - 8q^{84} + 6q^{86} - 16q^{87} - 28q^{88} - 6q^{90} - 46q^{92} - 4q^{93} + 32q^{94} - 40q^{95} - 40q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36992 + 0.351182i −0.968677 + 0.248323i
\(3\) 1.00000 0.577350
\(4\) 1.75334 0.962180i 0.876671 0.481090i
\(5\) 3.58679i 1.60406i 0.597282 + 0.802031i \(0.296247\pi\)
−0.597282 + 0.802031i \(0.703753\pi\)
\(6\) −1.36992 + 0.351182i −0.559266 + 0.143369i
\(7\) −4.07396 −1.53981 −0.769905 0.638158i \(-0.779697\pi\)
−0.769905 + 0.638158i \(0.779697\pi\)
\(8\) −2.06403 + 1.93385i −0.729746 + 0.683719i
\(9\) 1.00000 0.333333
\(10\) −1.25962 4.91361i −0.398326 1.55382i
\(11\) 4.30204 1.29712 0.648558 0.761166i \(-0.275373\pi\)
0.648558 + 0.761166i \(0.275373\pi\)
\(12\) 1.75334 0.962180i 0.506146 0.277757i
\(13\) 0.588657i 0.163264i 0.996663 + 0.0816321i \(0.0260132\pi\)
−0.996663 + 0.0816321i \(0.973987\pi\)
\(14\) 5.58098 1.43070i 1.49158 0.382371i
\(15\) 3.58679i 0.926106i
\(16\) 2.14842 3.37406i 0.537105 0.843516i
\(17\) 0.330562 0.0801732 0.0400866 0.999196i \(-0.487237\pi\)
0.0400866 + 0.999196i \(0.487237\pi\)
\(18\) −1.36992 + 0.351182i −0.322892 + 0.0827744i
\(19\) 5.25211i 1.20492i 0.798150 + 0.602458i \(0.205812\pi\)
−0.798150 + 0.602458i \(0.794188\pi\)
\(20\) 3.45114 + 6.28888i 0.771699 + 1.40624i
\(21\) −4.07396 −0.889010
\(22\) −5.89344 + 1.51080i −1.25649 + 0.322104i
\(23\) 0.501468i 0.104563i −0.998632 0.0522816i \(-0.983351\pi\)
0.998632 0.0522816i \(-0.0166493\pi\)
\(24\) −2.06403 + 1.93385i −0.421319 + 0.394745i
\(25\) −7.86509 −1.57302
\(26\) −0.206726 0.806411i −0.0405423 0.158150i
\(27\) 1.00000 0.192450
\(28\) −7.14304 + 3.91988i −1.34991 + 0.740788i
\(29\) −5.91148 −1.09773 −0.548867 0.835910i \(-0.684941\pi\)
−0.548867 + 0.835910i \(0.684941\pi\)
\(30\) −1.25962 4.91361i −0.229974 0.897098i
\(31\) −5.74994 −1.03272 −0.516359 0.856372i \(-0.672713\pi\)
−0.516359 + 0.856372i \(0.672713\pi\)
\(32\) −1.75825 + 5.37667i −0.310817 + 0.950470i
\(33\) 4.30204 0.748890
\(34\) −0.452843 + 0.116088i −0.0776619 + 0.0199089i
\(35\) 14.6124i 2.46995i
\(36\) 1.75334 0.962180i 0.292224 0.160363i
\(37\) −1.03067 −0.169440 −0.0847202 0.996405i \(-0.527000\pi\)
−0.0847202 + 0.996405i \(0.527000\pi\)
\(38\) −1.84445 7.19495i −0.299209 1.16718i
\(39\) 0.588657i 0.0942606i
\(40\) −6.93632 7.40326i −1.09673 1.17056i
\(41\) 7.04610i 1.10042i 0.835028 + 0.550208i \(0.185451\pi\)
−0.835028 + 0.550208i \(0.814549\pi\)
\(42\) 5.58098 1.43070i 0.861164 0.220762i
\(43\) −6.86370 −1.04671 −0.523353 0.852116i \(-0.675319\pi\)
−0.523353 + 0.852116i \(0.675319\pi\)
\(44\) 7.54296 4.13934i 1.13714 0.624029i
\(45\) 3.58679i 0.534688i
\(46\) 0.176106 + 0.686969i 0.0259655 + 0.101288i
\(47\) 10.3763i 1.51353i 0.653686 + 0.756766i \(0.273222\pi\)
−0.653686 + 0.756766i \(0.726778\pi\)
\(48\) 2.14842 3.37406i 0.310098 0.487004i
\(49\) 9.59712 1.37102
\(50\) 10.7745 2.76208i 1.52375 0.390617i
\(51\) 0.330562 0.0462880
\(52\) 0.566394 + 1.03212i 0.0785447 + 0.143129i
\(53\) 8.47969i 1.16477i −0.812911 0.582387i \(-0.802119\pi\)
0.812911 0.582387i \(-0.197881\pi\)
\(54\) −1.36992 + 0.351182i −0.186422 + 0.0477898i
\(55\) 15.4305i 2.08065i
\(56\) 8.40878 7.87842i 1.12367 1.05280i
\(57\) 5.25211i 0.695659i
\(58\) 8.09823 2.07601i 1.06335 0.272593i
\(59\) 8.93686i 1.16348i −0.813375 0.581740i \(-0.802372\pi\)
0.813375 0.581740i \(-0.197628\pi\)
\(60\) 3.45114 + 6.28888i 0.445540 + 0.811891i
\(61\) 6.57062i 0.841282i 0.907227 + 0.420641i \(0.138195\pi\)
−0.907227 + 0.420641i \(0.861805\pi\)
\(62\) 7.87693 2.01927i 1.00037 0.256448i
\(63\) −4.07396 −0.513270
\(64\) 0.520460 7.98305i 0.0650574 0.997882i
\(65\) −2.11139 −0.261886
\(66\) −5.89344 + 1.51080i −0.725433 + 0.185967i
\(67\) −4.33838 6.94107i −0.530018 0.847987i
\(68\) 0.579589 0.318061i 0.0702855 0.0385705i
\(69\) 0.501468i 0.0603696i
\(70\) 5.13163 + 20.0178i 0.613347 + 2.39259i
\(71\) 0.0930167i 0.0110391i 0.999985 + 0.00551953i \(0.00175693\pi\)
−0.999985 + 0.00551953i \(0.998243\pi\)
\(72\) −2.06403 + 1.93385i −0.243249 + 0.227906i
\(73\) −6.32174 −0.739903 −0.369952 0.929051i \(-0.620626\pi\)
−0.369952 + 0.929051i \(0.620626\pi\)
\(74\) 1.41193 0.361951i 0.164133 0.0420760i
\(75\) −7.86509 −0.908182
\(76\) 5.05348 + 9.20875i 0.579673 + 1.05632i
\(77\) −17.5263 −1.99731
\(78\) −0.206726 0.806411i −0.0234071 0.0913081i
\(79\) 1.43384 0.161319 0.0806596 0.996742i \(-0.474297\pi\)
0.0806596 + 0.996742i \(0.474297\pi\)
\(80\) 12.1021 + 7.70594i 1.35305 + 0.861550i
\(81\) 1.00000 0.111111
\(82\) −2.47446 9.65256i −0.273259 1.06595i
\(83\) 12.5742i 1.38020i 0.723715 + 0.690099i \(0.242433\pi\)
−0.723715 + 0.690099i \(0.757567\pi\)
\(84\) −7.14304 + 3.91988i −0.779370 + 0.427694i
\(85\) 1.18566i 0.128603i
\(86\) 9.40270 2.41041i 1.01392 0.259921i
\(87\) −5.91148 −0.633777
\(88\) −8.87956 + 8.31950i −0.946564 + 0.886862i
\(89\) 18.3287 1.94284 0.971420 0.237368i \(-0.0762846\pi\)
0.971420 + 0.237368i \(0.0762846\pi\)
\(90\) −1.25962 4.91361i −0.132775 0.517940i
\(91\) 2.39816i 0.251396i
\(92\) −0.482502 0.879244i −0.0503043 0.0916676i
\(93\) −5.74994 −0.596241
\(94\) −3.64395 14.2146i −0.375845 1.46612i
\(95\) −18.8382 −1.93276
\(96\) −1.75825 + 5.37667i −0.179450 + 0.548754i
\(97\) 6.83533i 0.694022i −0.937861 0.347011i \(-0.887197\pi\)
0.937861 0.347011i \(-0.112803\pi\)
\(98\) −13.1473 + 3.37034i −1.32807 + 0.340455i
\(99\) 4.30204 0.432372
\(100\) −13.7902 + 7.56763i −1.37902 + 0.756763i
\(101\) 6.18058i 0.614991i −0.951550 0.307495i \(-0.900509\pi\)
0.951550 0.307495i \(-0.0994908\pi\)
\(102\) −0.452843 + 0.116088i −0.0448381 + 0.0114944i
\(103\) 20.2293i 1.99325i 0.0820875 + 0.996625i \(0.473841\pi\)
−0.0820875 + 0.996625i \(0.526159\pi\)
\(104\) −1.13837 1.21501i −0.111627 0.119141i
\(105\) 14.6124i 1.42603i
\(106\) 2.97791 + 11.6165i 0.289240 + 1.12829i
\(107\) 5.29024i 0.511427i 0.966753 + 0.255713i \(0.0823103\pi\)
−0.966753 + 0.255713i \(0.917690\pi\)
\(108\) 1.75334 0.962180i 0.168715 0.0925858i
\(109\) 6.13549i 0.587673i −0.955856 0.293837i \(-0.905068\pi\)
0.955856 0.293837i \(-0.0949322\pi\)
\(110\) −5.41893 21.1386i −0.516675 2.01548i
\(111\) −1.03067 −0.0978264
\(112\) −8.75257 + 13.7458i −0.827040 + 1.29885i
\(113\) 4.41158i 0.415007i −0.978234 0.207503i \(-0.933466\pi\)
0.978234 0.207503i \(-0.0665338\pi\)
\(114\) −1.84445 7.19495i −0.172748 0.673869i
\(115\) 1.79866 0.167726
\(116\) −10.3648 + 5.68791i −0.962352 + 0.528109i
\(117\) 0.588657i 0.0544214i
\(118\) 3.13847 + 12.2428i 0.288919 + 1.12704i
\(119\) −1.34670 −0.123452
\(120\) −6.93632 7.40326i −0.633196 0.675822i
\(121\) 7.50759 0.682508
\(122\) −2.30748 9.00121i −0.208910 0.814931i
\(123\) 7.04610i 0.635325i
\(124\) −10.0816 + 5.53247i −0.905355 + 0.496831i
\(125\) 10.2765i 0.919156i
\(126\) 5.58098 1.43070i 0.497193 0.127457i
\(127\) 14.7447i 1.30838i −0.756330 0.654190i \(-0.773010\pi\)
0.756330 0.654190i \(-0.226990\pi\)
\(128\) 2.09052 + 11.1189i 0.184777 + 0.982780i
\(129\) −6.86370 −0.604315
\(130\) 2.89243 0.741483i 0.253683 0.0650323i
\(131\) 20.6777i 1.80662i 0.428993 + 0.903308i \(0.358868\pi\)
−0.428993 + 0.903308i \(0.641132\pi\)
\(132\) 7.54296 4.13934i 0.656530 0.360283i
\(133\) 21.3969i 1.85534i
\(134\) 8.38080 + 7.98512i 0.723991 + 0.689810i
\(135\) 3.58679i 0.308702i
\(136\) −0.682292 + 0.639258i −0.0585060 + 0.0548159i
\(137\) 14.5696i 1.24477i 0.782712 + 0.622384i \(0.213836\pi\)
−0.782712 + 0.622384i \(0.786164\pi\)
\(138\) 0.176106 + 0.686969i 0.0149912 + 0.0584787i
\(139\) 17.9896 1.52586 0.762930 0.646481i \(-0.223760\pi\)
0.762930 + 0.646481i \(0.223760\pi\)
\(140\) −14.0598 25.6206i −1.18827 2.16534i
\(141\) 10.3763i 0.873838i
\(142\) −0.0326658 0.127425i −0.00274125 0.0106933i
\(143\) 2.53243i 0.211772i
\(144\) 2.14842 3.37406i 0.179035 0.281172i
\(145\) 21.2033i 1.76083i
\(146\) 8.66025 2.22008i 0.716727 0.183735i
\(147\) 9.59712 0.791557
\(148\) −1.80711 + 0.991685i −0.148543 + 0.0815160i
\(149\) 17.7725 1.45598 0.727990 0.685588i \(-0.240455\pi\)
0.727990 + 0.685588i \(0.240455\pi\)
\(150\) 10.7745 2.76208i 0.879735 0.225523i
\(151\) 2.76841i 0.225290i 0.993635 + 0.112645i \(0.0359322\pi\)
−0.993635 + 0.112645i \(0.964068\pi\)
\(152\) −10.1568 10.8405i −0.823824 0.879283i
\(153\) 0.330562 0.0267244
\(154\) 24.0096 6.15494i 1.93475 0.495979i
\(155\) 20.6238i 1.65655i
\(156\) 0.566394 + 1.03212i 0.0453478 + 0.0826356i
\(157\) 7.09583 0.566309 0.283154 0.959074i \(-0.408619\pi\)
0.283154 + 0.959074i \(0.408619\pi\)
\(158\) −1.96424 + 0.503537i −0.156266 + 0.0400593i
\(159\) 8.47969i 0.672483i
\(160\) −19.2850 6.30646i −1.52461 0.498570i
\(161\) 2.04296i 0.161008i
\(162\) −1.36992 + 0.351182i −0.107631 + 0.0275915i
\(163\) 4.97600i 0.389751i −0.980828 0.194875i \(-0.937570\pi\)
0.980828 0.194875i \(-0.0624302\pi\)
\(164\) 6.77961 + 12.3542i 0.529399 + 0.964703i
\(165\) 15.4305i 1.20127i
\(166\) −4.41583 17.2256i −0.342735 1.33697i
\(167\) 5.01857i 0.388349i 0.980967 + 0.194174i \(0.0622028\pi\)
−0.980967 + 0.194174i \(0.937797\pi\)
\(168\) 8.40878 7.87842i 0.648751 0.607833i
\(169\) 12.6535 0.973345
\(170\) −0.416382 1.62425i −0.0319351 0.124575i
\(171\) 5.25211i 0.401639i
\(172\) −12.0344 + 6.60412i −0.917616 + 0.503559i
\(173\) −11.2641 −0.856397 −0.428199 0.903685i \(-0.640852\pi\)
−0.428199 + 0.903685i \(0.640852\pi\)
\(174\) 8.09823 2.07601i 0.613926 0.157382i
\(175\) 32.0420 2.42215
\(176\) 9.24260 14.5154i 0.696687 1.09414i
\(177\) 8.93686i 0.671736i
\(178\) −25.1088 + 6.43671i −1.88198 + 0.482452i
\(179\) 21.4107 1.60031 0.800156 0.599792i \(-0.204750\pi\)
0.800156 + 0.599792i \(0.204750\pi\)
\(180\) 3.45114 + 6.28888i 0.257233 + 0.468745i
\(181\) −5.39768 −0.401206 −0.200603 0.979673i \(-0.564290\pi\)
−0.200603 + 0.979673i \(0.564290\pi\)
\(182\) 0.842192 + 3.28528i 0.0624274 + 0.243521i
\(183\) 6.57062i 0.485714i
\(184\) 0.969762 + 1.03505i 0.0714918 + 0.0763046i
\(185\) 3.69678i 0.271793i
\(186\) 7.87693 2.01927i 0.577565 0.148060i
\(187\) 1.42209 0.103994
\(188\) 9.98382 + 18.1931i 0.728145 + 1.32687i
\(189\) −4.07396 −0.296337
\(190\) 25.8068 6.61565i 1.87222 0.479950i
\(191\) 4.14224 0.299722 0.149861 0.988707i \(-0.452117\pi\)
0.149861 + 0.988707i \(0.452117\pi\)
\(192\) 0.520460 7.98305i 0.0375609 0.576127i
\(193\) 21.8440 1.57237 0.786183 0.617994i \(-0.212054\pi\)
0.786183 + 0.617994i \(0.212054\pi\)
\(194\) 2.40044 + 9.36383i 0.172342 + 0.672284i
\(195\) −2.11139 −0.151200
\(196\) 16.8270 9.23416i 1.20193 0.659583i
\(197\) 25.7830i 1.83696i 0.395464 + 0.918481i \(0.370584\pi\)
−0.395464 + 0.918481i \(0.629416\pi\)
\(198\) −5.89344 + 1.51080i −0.418829 + 0.107368i
\(199\) 9.34594i 0.662516i 0.943540 + 0.331258i \(0.107473\pi\)
−0.943540 + 0.331258i \(0.892527\pi\)
\(200\) 16.2338 15.2099i 1.14790 1.07550i
\(201\) −4.33838 6.94107i −0.306006 0.489585i
\(202\) 2.17051 + 8.46688i 0.152716 + 0.595727i
\(203\) 24.0831 1.69030
\(204\) 0.579589 0.318061i 0.0405794 0.0222687i
\(205\) −25.2729 −1.76514
\(206\) −7.10416 27.7124i −0.494970 1.93082i
\(207\) 0.501468i 0.0348544i
\(208\) 1.98617 + 1.26468i 0.137716 + 0.0876900i
\(209\) 22.5948i 1.56292i
\(210\) 5.13163 + 20.0178i 0.354116 + 1.38136i
\(211\) 3.95038i 0.271955i −0.990712 0.135978i \(-0.956582\pi\)
0.990712 0.135978i \(-0.0434175\pi\)
\(212\) −8.15898 14.8678i −0.560361 1.02112i
\(213\) 0.0930167i 0.00637340i
\(214\) −1.85784 7.24719i −0.126999 0.495408i
\(215\) 24.6187i 1.67898i
\(216\) −2.06403 + 1.93385i −0.140440 + 0.131582i
\(217\) 23.4250 1.59019
\(218\) 2.15467 + 8.40511i 0.145933 + 0.569266i
\(219\) −6.32174 −0.427183
\(220\) 14.8470 + 27.0550i 1.00098 + 1.82405i
\(221\) 0.194588i 0.0130894i
\(222\) 1.41193 0.361951i 0.0947622 0.0242926i
\(223\) 2.38734i 0.159868i 0.996800 + 0.0799341i \(0.0254710\pi\)
−0.996800 + 0.0799341i \(0.974529\pi\)
\(224\) 7.16301 21.9043i 0.478599 1.46354i
\(225\) −7.86509 −0.524339
\(226\) 1.54927 + 6.04350i 0.103056 + 0.402008i
\(227\) 6.93501i 0.460293i −0.973156 0.230146i \(-0.926080\pi\)
0.973156 0.230146i \(-0.0739205\pi\)
\(228\) 5.05348 + 9.20875i 0.334675 + 0.609864i
\(229\) 24.0931i 1.59212i −0.605219 0.796059i \(-0.706914\pi\)
0.605219 0.796059i \(-0.293086\pi\)
\(230\) −2.46402 + 0.631657i −0.162472 + 0.0416502i
\(231\) −17.5263 −1.15315
\(232\) 12.2015 11.4319i 0.801067 0.750541i
\(233\) 15.1293i 0.991152i −0.868565 0.495576i \(-0.834957\pi\)
0.868565 0.495576i \(-0.165043\pi\)
\(234\) −0.206726 0.806411i −0.0135141 0.0527168i
\(235\) −37.2175 −2.42780
\(236\) −8.59887 15.6694i −0.559739 1.01999i
\(237\) 1.43384 0.0931376
\(238\) 1.84486 0.472936i 0.119585 0.0306559i
\(239\) 11.1501 0.721237 0.360619 0.932713i \(-0.382566\pi\)
0.360619 + 0.932713i \(0.382566\pi\)
\(240\) 12.1021 + 7.70594i 0.781185 + 0.497416i
\(241\) −26.2380 −1.69014 −0.845068 0.534659i \(-0.820440\pi\)
−0.845068 + 0.534659i \(0.820440\pi\)
\(242\) −10.2848 + 2.63653i −0.661130 + 0.169483i
\(243\) 1.00000 0.0641500
\(244\) 6.32212 + 11.5206i 0.404732 + 0.737528i
\(245\) 34.4229i 2.19920i
\(246\) −2.47446 9.65256i −0.157766 0.615425i
\(247\) −3.09169 −0.196720
\(248\) 11.8681 11.1195i 0.753622 0.706089i
\(249\) 12.5742i 0.796858i
\(250\) 3.60891 + 14.0779i 0.228248 + 0.890365i
\(251\) −23.7883 −1.50150 −0.750752 0.660584i \(-0.770309\pi\)
−0.750752 + 0.660584i \(0.770309\pi\)
\(252\) −7.14304 + 3.91988i −0.449969 + 0.246929i
\(253\) 2.15734i 0.135631i
\(254\) 5.17807 + 20.1990i 0.324901 + 1.26740i
\(255\) 1.18566i 0.0742489i
\(256\) −6.76859 14.4978i −0.423037 0.906112i
\(257\) 12.6784 0.790858 0.395429 0.918497i \(-0.370596\pi\)
0.395429 + 0.918497i \(0.370596\pi\)
\(258\) 9.40270 2.41041i 0.585387 0.150066i
\(259\) 4.19889 0.260906
\(260\) −3.70199 + 2.03154i −0.229588 + 0.125991i
\(261\) −5.91148 −0.365911
\(262\) −7.26162 28.3267i −0.448624 1.75003i
\(263\) 3.60969i 0.222583i −0.993788 0.111292i \(-0.964501\pi\)
0.993788 0.111292i \(-0.0354988\pi\)
\(264\) −8.87956 + 8.31950i −0.546499 + 0.512030i
\(265\) 30.4149 1.86837
\(266\) 7.51420 + 29.3119i 0.460725 + 1.79723i
\(267\) 18.3287 1.12170
\(268\) −14.2852 7.99577i −0.872609 0.488419i
\(269\) 30.3436 1.85008 0.925041 0.379866i \(-0.124030\pi\)
0.925041 + 0.379866i \(0.124030\pi\)
\(270\) −1.25962 4.91361i −0.0766579 0.299033i
\(271\) 22.2235 1.34998 0.674990 0.737827i \(-0.264148\pi\)
0.674990 + 0.737827i \(0.264148\pi\)
\(272\) 0.710187 1.11534i 0.0430614 0.0676273i
\(273\) 2.39816i 0.145143i
\(274\) −5.11659 19.9592i −0.309105 1.20578i
\(275\) −33.8360 −2.04039
\(276\) −0.482502 0.879244i −0.0290432 0.0529243i
\(277\) −3.09791 −0.186135 −0.0930677 0.995660i \(-0.529667\pi\)
−0.0930677 + 0.995660i \(0.529667\pi\)
\(278\) −24.6443 + 6.31764i −1.47807 + 0.378907i
\(279\) −5.74994 −0.344240
\(280\) 28.2582 + 30.1606i 1.68875 + 1.80244i
\(281\) 24.6045i 1.46778i 0.679267 + 0.733892i \(0.262298\pi\)
−0.679267 + 0.733892i \(0.737702\pi\)
\(282\) −3.64395 14.2146i −0.216994 0.846467i
\(283\) 29.8385i 1.77372i −0.462042 0.886858i \(-0.652883\pi\)
0.462042 0.886858i \(-0.347117\pi\)
\(284\) 0.0894988 + 0.163090i 0.00531078 + 0.00967762i
\(285\) −18.8382 −1.11588
\(286\) −0.889344 3.46922i −0.0525880 0.205139i
\(287\) 28.7055i 1.69443i
\(288\) −1.75825 + 5.37667i −0.103606 + 0.316823i
\(289\) −16.8907 −0.993572
\(290\) 7.44620 + 29.0467i 0.437256 + 1.70568i
\(291\) 6.83533i 0.400694i
\(292\) −11.0842 + 6.08265i −0.648652 + 0.355960i
\(293\) 20.9178 1.22203 0.611016 0.791618i \(-0.290761\pi\)
0.611016 + 0.791618i \(0.290761\pi\)
\(294\) −13.1473 + 3.37034i −0.766764 + 0.196562i
\(295\) 32.0547 1.86630
\(296\) 2.12733 1.99315i 0.123648 0.115850i
\(297\) 4.30204 0.249630
\(298\) −24.3468 + 6.24138i −1.41037 + 0.361553i
\(299\) 0.295193 0.0170714
\(300\) −13.7902 + 7.56763i −0.796177 + 0.436917i
\(301\) 27.9624 1.61173
\(302\) −0.972214 3.79248i −0.0559446 0.218233i
\(303\) 6.18058i 0.355065i
\(304\) 17.7209 + 11.2837i 1.01637 + 0.647167i
\(305\) −23.5675 −1.34947
\(306\) −0.452843 + 0.116088i −0.0258873 + 0.00663629i
\(307\) 11.5339i 0.658273i 0.944282 + 0.329136i \(0.106758\pi\)
−0.944282 + 0.329136i \(0.893242\pi\)
\(308\) −30.7297 + 16.8635i −1.75099 + 0.960887i
\(309\) 20.2293i 1.15080i
\(310\) 7.24272 + 28.2529i 0.411359 + 1.60466i
\(311\) −12.2954 −0.697207 −0.348603 0.937270i \(-0.613344\pi\)
−0.348603 + 0.937270i \(0.613344\pi\)
\(312\) −1.13837 1.21501i −0.0644477 0.0687863i
\(313\) 5.39606i 0.305004i 0.988303 + 0.152502i \(0.0487330\pi\)
−0.988303 + 0.152502i \(0.951267\pi\)
\(314\) −9.72069 + 2.49193i −0.548570 + 0.140628i
\(315\) 14.6124i 0.823318i
\(316\) 2.51400 1.37961i 0.141424 0.0776090i
\(317\) −16.1308 −0.905995 −0.452997 0.891512i \(-0.649645\pi\)
−0.452997 + 0.891512i \(0.649645\pi\)
\(318\) 2.97791 + 11.6165i 0.166993 + 0.651419i
\(319\) −25.4315 −1.42389
\(320\) 28.6336 + 1.86678i 1.60066 + 0.104356i
\(321\) 5.29024i 0.295272i
\(322\) −0.717450 2.79868i −0.0399819 0.155964i
\(323\) 1.73615i 0.0966020i
\(324\) 1.75334 0.962180i 0.0974079 0.0534544i
\(325\) 4.62984i 0.256817i
\(326\) 1.74748 + 6.81671i 0.0967841 + 0.377543i
\(327\) 6.13549i 0.339293i
\(328\) −13.6261 14.5434i −0.752375 0.803023i
\(329\) 42.2724i 2.33055i
\(330\) −5.41893 21.1386i −0.298302 1.16364i
\(331\) −12.6337 −0.694410 −0.347205 0.937789i \(-0.612869\pi\)
−0.347205 + 0.937789i \(0.612869\pi\)
\(332\) 12.0986 + 22.0469i 0.663999 + 1.20998i
\(333\) −1.03067 −0.0564801
\(334\) −1.76243 6.87503i −0.0964360 0.376185i
\(335\) 24.8962 15.5609i 1.36022 0.850182i
\(336\) −8.75257 + 13.7458i −0.477492 + 0.749894i
\(337\) 16.8432i 0.917508i −0.888563 0.458754i \(-0.848296\pi\)
0.888563 0.458754i \(-0.151704\pi\)
\(338\) −17.3342 + 4.44368i −0.942857 + 0.241704i
\(339\) 4.41158i 0.239604i
\(340\) 1.14082 + 2.07887i 0.0618695 + 0.112742i
\(341\) −24.7365 −1.33956
\(342\) −1.84445 7.19495i −0.0997363 0.389058i
\(343\) −10.5806 −0.571297
\(344\) 14.1669 13.2734i 0.763828 0.715652i
\(345\) 1.79866 0.0968366
\(346\) 15.4309 3.95576i 0.829572 0.212663i
\(347\) −3.44586 −0.184984 −0.0924918 0.995713i \(-0.529483\pi\)
−0.0924918 + 0.995713i \(0.529483\pi\)
\(348\) −10.3648 + 5.68791i −0.555614 + 0.304904i
\(349\) −4.46833 −0.239184 −0.119592 0.992823i \(-0.538159\pi\)
−0.119592 + 0.992823i \(0.538159\pi\)
\(350\) −43.8949 + 11.2526i −2.34628 + 0.601476i
\(351\) 0.588657i 0.0314202i
\(352\) −7.56405 + 23.1307i −0.403165 + 1.23287i
\(353\) 4.56092i 0.242753i −0.992607 0.121377i \(-0.961269\pi\)
0.992607 0.121377i \(-0.0387309\pi\)
\(354\) 3.13847 + 12.2428i 0.166808 + 0.650695i
\(355\) −0.333632 −0.0177073
\(356\) 32.1365 17.6355i 1.70323 0.934681i
\(357\) −1.34670 −0.0712748
\(358\) −29.3309 + 7.51906i −1.55019 + 0.397395i
\(359\) 20.7570i 1.09551i −0.836638 0.547756i \(-0.815482\pi\)
0.836638 0.547756i \(-0.184518\pi\)
\(360\) −6.93632 7.40326i −0.365576 0.390186i
\(361\) −8.58466 −0.451824
\(362\) 7.39437 1.89557i 0.388639 0.0996288i
\(363\) 7.50759 0.394046
\(364\) −2.30747 4.20480i −0.120944 0.220392i
\(365\) 22.6748i 1.18685i
\(366\) −2.30748 9.00121i −0.120614 0.470501i
\(367\) 5.26708 0.274939 0.137470 0.990506i \(-0.456103\pi\)
0.137470 + 0.990506i \(0.456103\pi\)
\(368\) −1.69198 1.07736i −0.0882007 0.0561614i
\(369\) 7.04610i 0.366805i
\(370\) 1.29824 + 5.06428i 0.0674925 + 0.263280i
\(371\) 34.5459i 1.79353i
\(372\) −10.0816 + 5.53247i −0.522707 + 0.286845i
\(373\) 14.5957i 0.755736i 0.925860 + 0.377868i \(0.123343\pi\)
−0.925860 + 0.377868i \(0.876657\pi\)
\(374\) −1.94815 + 0.499414i −0.100736 + 0.0258241i
\(375\) 10.2765i 0.530675i
\(376\) −20.0661 21.4169i −1.03483 1.10449i
\(377\) 3.47984i 0.179221i
\(378\) 5.58098 1.43070i 0.287055 0.0735873i
\(379\) 26.2477 1.34825 0.674127 0.738615i \(-0.264520\pi\)
0.674127 + 0.738615i \(0.264520\pi\)
\(380\) −33.0299 + 18.1258i −1.69440 + 0.929833i
\(381\) 14.7447i 0.755393i
\(382\) −5.67452 + 1.45468i −0.290334 + 0.0744279i
\(383\) 21.4139 1.09420 0.547098 0.837068i \(-0.315732\pi\)
0.547098 + 0.837068i \(0.315732\pi\)
\(384\) 2.09052 + 11.1189i 0.106681 + 0.567409i
\(385\) 62.8634i 3.20381i
\(386\) −29.9245 + 7.67122i −1.52312 + 0.390455i
\(387\) −6.86370 −0.348902
\(388\) −6.57681 11.9847i −0.333887 0.608429i
\(389\) 3.91720 0.198610 0.0993050 0.995057i \(-0.468338\pi\)
0.0993050 + 0.995057i \(0.468338\pi\)
\(390\) 2.89243 0.741483i 0.146464 0.0375464i
\(391\) 0.165766i 0.00838317i
\(392\) −19.8088 + 18.5594i −1.00049 + 0.937390i
\(393\) 20.6777i 1.04305i
\(394\) −9.05453 35.3206i −0.456160 1.77942i
\(395\) 5.14287i 0.258766i
\(396\) 7.54296 4.13934i 0.379048 0.208010i
\(397\) −8.71504 −0.437396 −0.218698 0.975793i \(-0.570181\pi\)
−0.218698 + 0.975793i \(0.570181\pi\)
\(398\) −3.28213 12.8032i −0.164518 0.641764i
\(399\) 21.3969i 1.07118i
\(400\) −16.8975 + 26.5373i −0.844875 + 1.32686i
\(401\) 16.8353i 0.840713i 0.907359 + 0.420357i \(0.138095\pi\)
−0.907359 + 0.420357i \(0.861905\pi\)
\(402\) 8.38080 + 7.98512i 0.417996 + 0.398262i
\(403\) 3.38474i 0.168606i
\(404\) −5.94683 10.8367i −0.295866 0.539145i
\(405\) 3.58679i 0.178229i
\(406\) −32.9919 + 8.45756i −1.63736 + 0.419741i
\(407\) −4.43397 −0.219784
\(408\) −0.682292 + 0.639258i −0.0337785 + 0.0316480i
\(409\) 14.1575i 0.700045i 0.936741 + 0.350022i \(0.113826\pi\)
−0.936741 + 0.350022i \(0.886174\pi\)
\(410\) 34.6218 8.87539i 1.70985 0.438324i
\(411\) 14.5696i 0.718667i
\(412\) 19.4642 + 35.4689i 0.958933 + 1.74743i
\(413\) 36.4084i 1.79154i
\(414\) 0.176106 + 0.686969i 0.00865516 + 0.0337627i
\(415\) −45.1011 −2.21392
\(416\) −3.16502 1.03500i −0.155178 0.0507452i
\(417\) 17.9896 0.880956
\(418\) −7.93489 30.9530i −0.388108 1.51396i
\(419\) 24.7345i 1.20836i 0.796848 + 0.604179i \(0.206499\pi\)
−0.796848 + 0.604179i \(0.793501\pi\)
\(420\) −14.0598 25.6206i −0.686048 1.25016i
\(421\) 0.0863411 0.00420801 0.00210400 0.999998i \(-0.499330\pi\)
0.00210400 + 0.999998i \(0.499330\pi\)
\(422\) 1.38730 + 5.41169i 0.0675328 + 0.263437i
\(423\) 10.3763i 0.504511i
\(424\) 16.3984 + 17.5023i 0.796378 + 0.849989i
\(425\) −2.59990 −0.126114
\(426\) −0.0326658 0.127425i −0.00158266 0.00617377i
\(427\) 26.7684i 1.29542i
\(428\) 5.09016 + 9.27560i 0.246042 + 0.448353i
\(429\) 2.53243i 0.122267i
\(430\) 8.64564 + 33.7255i 0.416930 + 1.62639i
\(431\) 13.3565i 0.643360i 0.946848 + 0.321680i \(0.104248\pi\)
−0.946848 + 0.321680i \(0.895752\pi\)
\(432\) 2.14842 3.37406i 0.103366 0.162335i
\(433\) 1.00574i 0.0483328i 0.999708 + 0.0241664i \(0.00769316\pi\)
−0.999708 + 0.0241664i \(0.992307\pi\)
\(434\) −32.0903 + 8.22643i −1.54038 + 0.394881i
\(435\) 21.2033i 1.01662i
\(436\) −5.90345 10.7576i −0.282724 0.515196i
\(437\) 2.63376 0.125990
\(438\) 8.66025 2.22008i 0.413803 0.106080i
\(439\) 25.7975i 1.23125i 0.788040 + 0.615624i \(0.211096\pi\)
−0.788040 + 0.615624i \(0.788904\pi\)
\(440\) −29.8403 31.8491i −1.42258 1.51835i
\(441\) 9.59712 0.457006
\(442\) −0.0683358 0.266569i −0.00325040 0.0126794i
\(443\) −6.93125 −0.329314 −0.164657 0.986351i \(-0.552652\pi\)
−0.164657 + 0.986351i \(0.552652\pi\)
\(444\) −1.80711 + 0.991685i −0.0857616 + 0.0470633i
\(445\) 65.7413i 3.11644i
\(446\) −0.838391 3.27046i −0.0396990 0.154861i
\(447\) 17.7725 0.840610
\(448\) −2.12033 + 32.5226i −0.100176 + 1.53655i
\(449\) −28.0410 −1.32333 −0.661667 0.749798i \(-0.730151\pi\)
−0.661667 + 0.749798i \(0.730151\pi\)
\(450\) 10.7745 2.76208i 0.507915 0.130206i
\(451\) 30.3126i 1.42737i
\(452\) −4.24474 7.73501i −0.199656 0.363824i
\(453\) 2.76841i 0.130071i
\(454\) 2.43545 + 9.50038i 0.114301 + 0.445875i
\(455\) 8.60172 0.403255
\(456\) −10.1568 10.8405i −0.475635 0.507654i
\(457\) −17.7010 −0.828016 −0.414008 0.910273i \(-0.635871\pi\)
−0.414008 + 0.910273i \(0.635871\pi\)
\(458\) 8.46107 + 33.0056i 0.395360 + 1.54225i
\(459\) 0.330562 0.0154293
\(460\) 3.15367 1.73064i 0.147041 0.0806913i
\(461\) −25.5414 −1.18958 −0.594790 0.803881i \(-0.702765\pi\)
−0.594790 + 0.803881i \(0.702765\pi\)
\(462\) 24.0096 6.15494i 1.11703 0.286354i
\(463\) 29.6295 1.37700 0.688499 0.725237i \(-0.258270\pi\)
0.688499 + 0.725237i \(0.258270\pi\)
\(464\) −12.7003 + 19.9457i −0.589598 + 0.925956i
\(465\) 20.6238i 0.956407i
\(466\) 5.31313 + 20.7258i 0.246126 + 0.960106i
\(467\) 1.83988i 0.0851395i 0.999093 + 0.0425698i \(0.0135545\pi\)
−0.999093 + 0.0425698i \(0.986446\pi\)
\(468\) 0.566394 + 1.03212i 0.0261816 + 0.0477097i
\(469\) 17.6744 + 28.2776i 0.816127 + 1.30574i
\(470\) 50.9848 13.0701i 2.35176 0.602879i
\(471\) 7.09583 0.326959
\(472\) 17.2825 + 18.4460i 0.795493 + 0.849045i
\(473\) −29.5280 −1.35770
\(474\) −1.96424 + 0.503537i −0.0902203 + 0.0231282i
\(475\) 41.3083i 1.89536i
\(476\) −2.36122 + 1.29577i −0.108226 + 0.0593913i
\(477\) 8.47969i 0.388258i
\(478\) −15.2746 + 3.91570i −0.698646 + 0.179100i
\(479\) 29.7336i 1.35856i −0.733879 0.679281i \(-0.762292\pi\)
0.733879 0.679281i \(-0.237708\pi\)
\(480\) −19.2850 6.30646i −0.880236 0.287849i
\(481\) 0.606709i 0.0276635i
\(482\) 35.9438 9.21430i 1.63720 0.419700i
\(483\) 2.04296i 0.0929578i
\(484\) 13.1634 7.22365i 0.598335 0.328348i
\(485\) 24.5169 1.11326
\(486\) −1.36992 + 0.351182i −0.0621407 + 0.0159299i
\(487\) 32.6107 1.47773 0.738867 0.673852i \(-0.235361\pi\)
0.738867 + 0.673852i \(0.235361\pi\)
\(488\) −12.7066 13.5620i −0.575200 0.613922i
\(489\) 4.97600i 0.225023i
\(490\) −12.0887 47.1565i −0.546112 2.13031i
\(491\) 39.1050i 1.76478i 0.470516 + 0.882391i \(0.344068\pi\)
−0.470516 + 0.882391i \(0.655932\pi\)
\(492\) 6.77961 + 12.3542i 0.305649 + 0.556971i
\(493\) −1.95411 −0.0880088
\(494\) 4.23536 1.08575i 0.190558 0.0488501i
\(495\) 15.4305i 0.693551i
\(496\) −12.3533 + 19.4006i −0.554678 + 0.871114i
\(497\) 0.378946i 0.0169981i
\(498\) −4.41583 17.2256i −0.197878 0.771898i
\(499\) 17.5274 0.784634 0.392317 0.919830i \(-0.371674\pi\)
0.392317 + 0.919830i \(0.371674\pi\)
\(500\) −9.88782 18.0182i −0.442197 0.805798i
\(501\) 5.01857i 0.224213i
\(502\) 32.5880 8.35402i 1.45447 0.372858i
\(503\) −22.9024 −1.02117 −0.510583 0.859828i \(-0.670570\pi\)
−0.510583 + 0.859828i \(0.670570\pi\)
\(504\) 8.40878 7.87842i 0.374557 0.350933i
\(505\) 22.1685 0.986483
\(506\) 0.757618 + 2.95537i 0.0336802 + 0.131382i
\(507\) 12.6535 0.561961
\(508\) −14.1870 25.8525i −0.629448 1.14702i
\(509\) −29.2971 −1.29857 −0.649286 0.760545i \(-0.724932\pi\)
−0.649286 + 0.760545i \(0.724932\pi\)
\(510\) −0.416382 1.62425i −0.0184377 0.0719232i
\(511\) 25.7545 1.13931
\(512\) 14.3638 + 17.4838i 0.634795 + 0.772681i
\(513\) 5.25211i 0.231886i
\(514\) −17.3684 + 4.45243i −0.766086 + 0.196388i
\(515\) −72.5583 −3.19730
\(516\) −12.0344 + 6.60412i −0.529786 + 0.290730i
\(517\) 44.6391i 1.96323i
\(518\) −5.75212 + 1.47457i −0.252734 + 0.0647890i
\(519\) −11.2641 −0.494441
\(520\) 4.35798 4.08311i 0.191110 0.179056i
\(521\) 38.8819i 1.70345i −0.523990 0.851724i \(-0.675557\pi\)
0.523990 0.851724i \(-0.324443\pi\)
\(522\) 8.09823 2.07601i 0.354450 0.0908643i
\(523\) 27.8489i 1.21775i 0.793268 + 0.608873i \(0.208378\pi\)
−0.793268 + 0.608873i \(0.791622\pi\)
\(524\) 19.8956 + 36.2550i 0.869144 + 1.58381i
\(525\) 32.0420 1.39843
\(526\) 1.26766 + 4.94498i 0.0552726 + 0.215611i
\(527\) −1.90071 −0.0827964
\(528\) 9.24260 14.5154i 0.402232 0.631700i
\(529\) 22.7485 0.989067
\(530\) −41.6659 + 10.6812i −1.80985 + 0.463960i
\(531\) 8.93686i 0.387827i
\(532\) −20.5876 37.5160i −0.892587 1.62653i
\(533\) −4.14774 −0.179658
\(534\) −25.1088 + 6.43671i −1.08656 + 0.278544i
\(535\) −18.9750 −0.820361
\(536\) 22.3775 + 5.93682i 0.966562 + 0.256432i
\(537\) 21.4107 0.923940
\(538\) −41.5682 + 10.6561i −1.79213 + 0.459418i
\(539\) 41.2873 1.77837
\(540\) 3.45114 + 6.28888i 0.148513 + 0.270630i
\(541\) 3.23277i 0.138987i 0.997582 + 0.0694937i \(0.0221384\pi\)
−0.997582 + 0.0694937i \(0.977862\pi\)
\(542\) −30.4443 + 7.80449i −1.30770 + 0.335231i
\(543\) −5.39768 −0.231636
\(544\) −0.581210 + 1.77733i −0.0249192 + 0.0762022i
\(545\) 22.0067 0.942665
\(546\) 0.842192 + 3.28528i 0.0360425 + 0.140597i
\(547\) −1.84336 −0.0788163 −0.0394082 0.999223i \(-0.512547\pi\)
−0.0394082 + 0.999223i \(0.512547\pi\)
\(548\) 14.0186 + 25.5456i 0.598845 + 1.09125i
\(549\) 6.57062i 0.280427i
\(550\) 46.3524 11.8826i 1.97647 0.506675i
\(551\) 31.0477i 1.32268i
\(552\) 0.969762 + 1.03505i 0.0412758 + 0.0440545i
\(553\) −5.84138 −0.248401
\(554\) 4.24388 1.08793i 0.180305 0.0462217i
\(555\) 3.69678i 0.156920i
\(556\) 31.5420 17.3093i 1.33768 0.734076i
\(557\) −6.80158 −0.288192 −0.144096 0.989564i \(-0.546027\pi\)
−0.144096 + 0.989564i \(0.546027\pi\)
\(558\) 7.87693 2.01927i 0.333457 0.0854827i
\(559\) 4.04037i 0.170889i
\(560\) −49.3033 31.3937i −2.08344 1.32662i
\(561\) 1.42209 0.0600409
\(562\) −8.64067 33.7062i −0.364485 1.42181i
\(563\) 26.6033 1.12119 0.560597 0.828089i \(-0.310572\pi\)
0.560597 + 0.828089i \(0.310572\pi\)
\(564\) 9.98382 + 18.1931i 0.420395 + 0.766069i
\(565\) 15.8234 0.665697
\(566\) 10.4788 + 40.8763i 0.440455 + 1.71816i
\(567\) −4.07396 −0.171090
\(568\) −0.179880 0.191990i −0.00754761 0.00805570i
\(569\) −20.2191 −0.847629 −0.423814 0.905749i \(-0.639309\pi\)
−0.423814 + 0.905749i \(0.639309\pi\)
\(570\) 25.8068 6.61565i 1.08093 0.277099i
\(571\) 5.10883i 0.213798i −0.994270 0.106899i \(-0.965908\pi\)
0.994270 0.106899i \(-0.0340921\pi\)
\(572\) 2.43665 + 4.44022i 0.101882 + 0.185655i
\(573\) 4.14224 0.173045
\(574\) 10.0809 + 39.3241i 0.420767 + 1.64136i
\(575\) 3.94409i 0.164480i
\(576\) 0.520460 7.98305i 0.0216858 0.332627i
\(577\) 41.9636i 1.74697i 0.486852 + 0.873485i \(0.338145\pi\)
−0.486852 + 0.873485i \(0.661855\pi\)
\(578\) 23.1389 5.93172i 0.962451 0.246727i
\(579\) 21.8440 0.907806
\(580\) −20.4014 37.1766i −0.847120 1.54367i
\(581\) 51.2267i 2.12524i
\(582\) 2.40044 + 9.36383i 0.0995016 + 0.388143i
\(583\) 36.4800i 1.51085i
\(584\) 13.0483 12.2253i 0.539941 0.505886i
\(585\) −2.11139 −0.0872953
\(586\) −28.6557 + 7.34596i −1.18375 + 0.303459i
\(587\) 4.63536 0.191322 0.0956608 0.995414i \(-0.469504\pi\)
0.0956608 + 0.995414i \(0.469504\pi\)
\(588\) 16.8270 9.23416i 0.693936 0.380810i
\(589\) 30.1993i 1.24434i
\(590\) −43.9122 + 11.2570i −1.80784 + 0.463444i
\(591\) 25.7830i 1.06057i
\(592\) −2.21430 + 3.47753i −0.0910072 + 0.142926i
\(593\) 19.5812i 0.804105i −0.915617 0.402053i \(-0.868297\pi\)
0.915617 0.402053i \(-0.131703\pi\)
\(594\) −5.89344 + 1.51080i −0.241811 + 0.0619889i
\(595\) 4.83032i 0.198024i
\(596\) 31.1613 17.1003i 1.27642 0.700457i
\(597\) 9.34594i 0.382504i
\(598\) −0.404389 + 0.103666i −0.0165367 + 0.00423923i
\(599\) 13.4500 0.549553 0.274776 0.961508i \(-0.411396\pi\)
0.274776 + 0.961508i \(0.411396\pi\)
\(600\) 16.2338 15.2099i 0.662742 0.620941i
\(601\) −14.6596 −0.597978 −0.298989 0.954257i \(-0.596649\pi\)
−0.298989 + 0.954257i \(0.596649\pi\)
\(602\) −38.3062 + 9.81990i −1.56124 + 0.400229i
\(603\) −4.33838 6.94107i −0.176673 0.282662i
\(604\) 2.66370 + 4.85396i 0.108385 + 0.197505i
\(605\) 26.9282i 1.09479i
\(606\) 2.17051 + 8.46688i 0.0881709 + 0.343943i
\(607\) 25.3724i 1.02983i −0.857241 0.514916i \(-0.827823\pi\)
0.857241 0.514916i \(-0.172177\pi\)
\(608\) −28.2389 9.23450i −1.14524 0.374508i
\(609\) 24.0831 0.975897
\(610\) 32.2855 8.27647i 1.30720 0.335104i
\(611\) −6.10806 −0.247106
\(612\) 0.579589 0.318061i 0.0234285 0.0128568i
\(613\) 25.1012 1.01383 0.506914 0.861997i \(-0.330786\pi\)
0.506914 + 0.861997i \(0.330786\pi\)
\(614\) −4.05049 15.8004i −0.163464 0.637654i
\(615\) −25.2729 −1.01910
\(616\) 36.1749 33.8933i 1.45753 1.36560i
\(617\) −44.8891 −1.80717 −0.903583 0.428413i \(-0.859073\pi\)
−0.903583 + 0.428413i \(0.859073\pi\)
\(618\) −7.10416 27.7124i −0.285771 1.11476i
\(619\) 24.7139i 0.993337i −0.867940 0.496669i \(-0.834556\pi\)
0.867940 0.496669i \(-0.165444\pi\)
\(620\) −19.8438 36.1606i −0.796948 1.45225i
\(621\) 0.501468i 0.0201232i
\(622\) 16.8436 4.31791i 0.675368 0.173133i
\(623\) −74.6704 −2.99161
\(624\) 1.98617 + 1.26468i 0.0795103 + 0.0506278i
\(625\) −2.46584 −0.0986335
\(626\) −1.89500 7.39216i −0.0757394 0.295450i
\(627\) 22.5948i 0.902350i
\(628\) 12.4414 6.82746i 0.496467 0.272446i
\(629\) −0.340699 −0.0135846
\(630\) 5.13163 + 20.0178i 0.204449 + 0.797529i
\(631\) 12.7802 0.508770 0.254385 0.967103i \(-0.418127\pi\)
0.254385 + 0.967103i \(0.418127\pi\)
\(632\) −2.95948 + 2.77282i −0.117722 + 0.110297i
\(633\) 3.95038i 0.157013i
\(634\) 22.0978 5.66484i 0.877617 0.224980i
\(635\) 52.8862 2.09872
\(636\) −8.15898 14.8678i −0.323525 0.589546i
\(637\) 5.64942i 0.223838i
\(638\) 34.8390 8.93107i 1.37929 0.353584i
\(639\) 0.0930167i 0.00367968i
\(640\) −39.8812 + 7.49826i −1.57644 + 0.296395i
\(641\) 37.4738i 1.48012i −0.672538 0.740062i \(-0.734796\pi\)
0.672538 0.740062i \(-0.265204\pi\)
\(642\) −1.85784 7.24719i −0.0733230 0.286024i
\(643\) 39.8345i 1.57092i −0.618914 0.785459i \(-0.712427\pi\)
0.618914 0.785459i \(-0.287573\pi\)
\(644\) 1.96569 + 3.58200i 0.0774591 + 0.141151i
\(645\) 24.6187i 0.969360i
\(646\) −0.609705 2.37838i −0.0239885 0.0935762i
\(647\) 15.4857 0.608807 0.304403 0.952543i \(-0.401543\pi\)
0.304403 + 0.952543i \(0.401543\pi\)
\(648\) −2.06403 + 1.93385i −0.0810829 + 0.0759687i
\(649\) 38.4468i 1.50917i
\(650\) 1.62592 + 6.34249i 0.0637737 + 0.248773i
\(651\) 23.4250 0.918098
\(652\) −4.78781 8.72464i −0.187505 0.341683i
\(653\) 12.2344i 0.478770i 0.970925 + 0.239385i \(0.0769457\pi\)
−0.970925 + 0.239385i \(0.923054\pi\)
\(654\) 2.15467 + 8.40511i 0.0842544 + 0.328666i
\(655\) −74.1665 −2.89792
\(656\) 23.7740 + 15.1380i 0.928218 + 0.591038i
\(657\) −6.32174 −0.246634
\(658\) 14.8453 + 57.9097i 0.578730 + 2.25755i
\(659\) 27.8274i 1.08400i −0.840377 0.542002i \(-0.817667\pi\)
0.840377 0.542002i \(-0.182333\pi\)
\(660\) 14.8470 + 27.0550i 0.577917 + 1.05312i
\(661\) 6.59513i 0.256521i −0.991741 0.128260i \(-0.959061\pi\)
0.991741 0.128260i \(-0.0409393\pi\)
\(662\) 17.3071 4.43672i 0.672659 0.172438i
\(663\) 0.194588i 0.00755717i
\(664\) −24.3166 25.9536i −0.943667 1.00719i
\(665\) 76.7462 2.97609
\(666\) 1.41193 0.361951i 0.0547110 0.0140253i
\(667\) 2.96442i 0.114783i
\(668\) 4.82877 + 8.79928i 0.186831 + 0.340454i
\(669\) 2.38734i 0.0922999i
\(670\) −28.6410 + 30.0602i −1.10650 + 1.16133i
\(671\) 28.2671i 1.09124i
\(672\) 7.16301 21.9043i 0.276319 0.844977i
\(673\) 18.4436i 0.710947i −0.934686 0.355474i \(-0.884320\pi\)
0.934686 0.355474i \(-0.115680\pi\)
\(674\) 5.91503 + 23.0738i 0.227839 + 0.888770i
\(675\) −7.86509 −0.302727
\(676\) 22.1859 12.1749i 0.853303 0.468266i
\(677\) 1.22827i 0.0472061i −0.999721 0.0236030i \(-0.992486\pi\)
0.999721 0.0236030i \(-0.00751378\pi\)
\(678\) 1.54927 + 6.04350i 0.0594993 + 0.232099i
\(679\) 27.8468i 1.06866i
\(680\) −2.29289 2.44724i −0.0879282 0.0938473i
\(681\) 6.93501i 0.265750i
\(682\) 33.8869 8.68701i 1.29760 0.332643i
\(683\) 10.5079 0.402072 0.201036 0.979584i \(-0.435569\pi\)
0.201036 + 0.979584i \(0.435569\pi\)
\(684\) 5.05348 + 9.20875i 0.193224 + 0.352105i
\(685\) −52.2583 −1.99669
\(686\) 14.4945 3.71571i 0.553402 0.141866i
\(687\) 24.0931i 0.919210i
\(688\) −14.7461 + 23.1586i −0.562190 + 0.882912i
\(689\) 4.99163 0.190166
\(690\) −2.46402 + 0.631657i −0.0938035 + 0.0240468i
\(691\) 17.2718i 0.657048i 0.944496 + 0.328524i \(0.106551\pi\)
−0.944496 + 0.328524i \(0.893449\pi\)
\(692\) −19.7499 + 10.8381i −0.750779 + 0.412004i
\(693\) −17.5263 −0.665771
\(694\) 4.72054 1.21012i 0.179189 0.0459357i
\(695\) 64.5251i 2.44758i
\(696\) 12.2015 11.4319i 0.462496 0.433325i
\(697\) 2.32918i 0.0882238i
\(698\) 6.12124 1.56920i 0.231692 0.0593950i
\(699\) 15.1293i 0.572242i
\(700\) 56.1806 30.8302i 2.12343 1.16527i
\(701\) 3.01308i 0.113803i −0.998380 0.0569013i \(-0.981878\pi\)
0.998380 0.0569013i \(-0.0181220\pi\)
\(702\) −0.206726 0.806411i −0.00780236 0.0304360i
\(703\) 5.41317i 0.204161i
\(704\) 2.23904 34.3434i 0.0843870 1.29437i
\(705\) −37.2175 −1.40169
\(706\) 1.60171 + 6.24808i 0.0602813 + 0.235150i
\(707\) 25.1794i 0.946969i
\(708\) −8.59887 15.6694i −0.323165 0.588891i
\(709\) 18.5087 0.695110 0.347555 0.937660i \(-0.387012\pi\)
0.347555 + 0.937660i \(0.387012\pi\)
\(710\) 0.457048 0.117165i 0.0171527 0.00439714i
\(711\) 1.43384 0.0537730
\(712\) −37.8311 + 35.4450i −1.41778 + 1.32836i
\(713\) 2.88341i 0.107984i
\(714\) 1.84486 0.472936i 0.0690423 0.0176992i
\(715\) −9.08330 −0.339696
\(716\) 37.5403 20.6010i 1.40295 0.769894i
\(717\) 11.1501 0.416407
\(718\) 7.28949 + 28.4354i 0.272041 + 1.06120i
\(719\) 43.2229i 1.61194i 0.591955 + 0.805971i \(0.298356\pi\)
−0.591955 + 0.805971i \(0.701644\pi\)
\(720\) 12.1021 + 7.70594i 0.451017 + 0.287183i
\(721\) 82.4132i 3.06923i
\(722\) 11.7603 3.01478i 0.437672 0.112198i
\(723\) −26.2380 −0.975801
\(724\) −9.46398 + 5.19354i −0.351726 + 0.193016i
\(725\) 46.4943 1.72676
\(726\) −10.2848 + 2.63653i −0.381704 + 0.0978508i
\(727\) 17.3390 0.643068 0.321534 0.946898i \(-0.395801\pi\)
0.321534 + 0.946898i \(0.395801\pi\)
\(728\) 4.63769 + 4.94989i 0.171884 + 0.183455i
\(729\) 1.00000 0.0370370
\(730\) 7.96297 + 31.0625i 0.294723 + 1.14968i
\(731\) −2.26888 −0.0839177
\(732\) 6.32212 + 11.5206i 0.233672 + 0.425812i
\(733\) 29.9866i 1.10758i 0.832656 + 0.553790i \(0.186819\pi\)
−0.832656 + 0.553790i \(0.813181\pi\)
\(734\) −7.21546 + 1.84970i −0.266327 + 0.0682738i
\(735\) 34.4229i 1.26971i
\(736\) 2.69623 + 0.881703i 0.0993842 + 0.0325000i
\(737\) −18.6639 29.8608i −0.687494 1.09994i
\(738\) −2.47446 9.65256i −0.0910862 0.355316i
\(739\) −44.1171 −1.62287 −0.811436 0.584441i \(-0.801314\pi\)
−0.811436 + 0.584441i \(0.801314\pi\)
\(740\) −3.55697 6.48173i −0.130757 0.238273i
\(741\) −3.09169 −0.113576
\(742\) −12.1319 47.3250i −0.445376 1.73735i
\(743\) 4.71118i 0.172836i −0.996259 0.0864182i \(-0.972458\pi\)
0.996259 0.0864182i \(-0.0275421\pi\)
\(744\) 11.8681 11.1195i 0.435104 0.407661i
\(745\) 63.7463i 2.33548i
\(746\) −5.12574 19.9949i −0.187667 0.732064i
\(747\) 12.5742i 0.460066i
\(748\) 2.49342 1.36831i 0.0911684 0.0500304i
\(749\) 21.5522i 0.787501i
\(750\) 3.60891 + 14.0779i 0.131779 + 0.514053i
\(751\) 6.08768i 0.222143i 0.993812 + 0.111071i \(0.0354282\pi\)
−0.993812 + 0.111071i \(0.964572\pi\)
\(752\) 35.0101 + 22.2925i 1.27669 + 0.812925i
\(753\) −23.7883 −0.866894
\(754\) 1.22206 + 4.76708i 0.0445046 + 0.173607i
\(755\) −9.92970 −0.361379
\(756\) −7.14304 + 3.91988i −0.259790 + 0.142565i
\(757\) 51.7396i 1.88051i 0.340474 + 0.940254i \(0.389412\pi\)
−0.340474 + 0.940254i \(0.610588\pi\)
\(758\) −35.9572 + 9.21773i −1.30602 + 0.334803i
\(759\) 2.15734i 0.0783063i
\(760\) 38.8827 36.4303i 1.41042 1.32147i
\(761\) 34.7942 1.26129 0.630645 0.776071i \(-0.282790\pi\)
0.630645 + 0.776071i \(0.282790\pi\)
\(762\) 5.17807 + 20.1990i 0.187582 + 0.731732i
\(763\) 24.9957i 0.904906i
\(764\) 7.26276 3.98558i 0.262758 0.144193i
\(765\) 1.18566i 0.0428676i
\(766\) −29.3352 + 7.52016i −1.05992 + 0.271714i
\(767\) 5.26075 0.189955
\(768\) −6.76859 14.4978i −0.244240 0.523144i
\(769\) 13.9823i 0.504215i −0.967699 0.252107i \(-0.918876\pi\)
0.967699 0.252107i \(-0.0811236\pi\)
\(770\) 22.0765 + 86.1176i 0.795581 + 3.10346i
\(771\) 12.6784 0.456602
\(772\) 38.3000 21.0179i 1.37845 0.756450i
\(773\)