Properties

Label 403.2.bl.b.16.13
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.13
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.657025 - 0.292526i) q^{2} +(-0.0382007 + 0.363455i) q^{3} +(-0.992151 - 1.10190i) q^{4} -0.138184 q^{5} +(0.131419 - 0.227624i) q^{6} +(-1.74853 - 1.94194i) q^{7} +(0.774026 + 2.38221i) q^{8} +(2.80380 + 0.595967i) q^{9} +O(q^{10})\) \(q+(-0.657025 - 0.292526i) q^{2} +(-0.0382007 + 0.363455i) q^{3} +(-0.992151 - 1.10190i) q^{4} -0.138184 q^{5} +(0.131419 - 0.227624i) q^{6} +(-1.74853 - 1.94194i) q^{7} +(0.774026 + 2.38221i) q^{8} +(2.80380 + 0.595967i) q^{9} +(0.0907902 + 0.0404224i) q^{10} +(-2.01171 + 0.427602i) q^{11} +(0.438391 - 0.318509i) q^{12} +(-2.66374 - 2.42992i) q^{13} +(0.580758 + 1.78739i) q^{14} +(0.00527872 - 0.0502236i) q^{15} +(-0.121675 + 1.15766i) q^{16} +(-4.54556 - 0.966188i) q^{17} +(-1.66783 - 1.21175i) q^{18} +(-0.0199969 - 0.190257i) q^{19} +(0.137099 + 0.152264i) q^{20} +(0.772602 - 0.561328i) q^{21} +(1.44683 + 0.307533i) q^{22} +(-5.22877 + 5.80714i) q^{23} +(-0.895395 + 0.190322i) q^{24} -4.98091 q^{25} +(1.03933 + 2.37573i) q^{26} +(-0.662512 + 2.03900i) q^{27} +(-0.405008 + 3.85339i) q^{28} +(-0.320281 - 0.142598i) q^{29} +(-0.0181600 + 0.0314540i) q^{30} +(-1.53719 - 5.35136i) q^{31} +(2.92339 - 5.06346i) q^{32} +(-0.0785655 - 0.747501i) q^{33} +(2.70391 + 1.96450i) q^{34} +(0.241618 + 0.268344i) q^{35} +(-2.12510 - 3.68079i) q^{36} +(-3.98719 - 6.90601i) q^{37} +(-0.0425168 + 0.130853i) q^{38} +(0.984923 - 0.875326i) q^{39} +(-0.106958 - 0.329183i) q^{40} +(-0.827375 - 0.368371i) q^{41} +(-0.671822 + 0.142800i) q^{42} +(1.06821 + 10.1634i) q^{43} +(2.46709 + 1.79245i) q^{44} +(-0.387440 - 0.0823529i) q^{45} +(5.13417 - 2.28588i) q^{46} +(2.99692 + 2.17739i) q^{47} +(-0.416108 - 0.0884465i) q^{48} +(0.0179304 - 0.170597i) q^{49} +(3.27258 + 1.45705i) q^{50} +(0.524810 - 1.61520i) q^{51} +(-0.0346822 + 5.34601i) q^{52} +(-2.65330 - 8.16603i) q^{53} +(1.03175 - 1.14587i) q^{54} +(0.277986 - 0.0590877i) q^{55} +(3.27269 - 5.66847i) q^{56} +0.0699139 q^{57} +(0.168719 + 0.187381i) q^{58} +(-3.95013 + 1.75871i) q^{59} +(-0.0605785 + 0.0440129i) q^{60} +(-1.43052 + 2.47773i) q^{61} +(-0.555441 + 3.96564i) q^{62} +(-3.74520 - 6.48687i) q^{63} +(-1.51849 + 1.10325i) q^{64} +(0.368086 + 0.335775i) q^{65} +(-0.167044 + 0.514109i) q^{66} +(0.624921 + 1.08239i) q^{67} +(3.44524 + 5.96734i) q^{68} +(-1.91089 - 2.12226i) q^{69} +(-0.0802514 - 0.246988i) q^{70} +(11.2909 + 2.39996i) q^{71} +(0.750501 + 7.14054i) q^{72} +(2.08989 - 6.43203i) q^{73} +(0.599491 + 5.70377i) q^{74} +(0.190274 - 1.81034i) q^{75} +(-0.189804 + 0.210799i) q^{76} +(4.34790 + 3.15894i) q^{77} +(-0.903174 + 0.286995i) q^{78} +(-0.484542 - 1.49127i) q^{79} +(0.0168135 - 0.159969i) q^{80} +(7.14009 + 3.17897i) q^{81} +(0.435848 + 0.484058i) q^{82} +(4.52538 - 3.28788i) q^{83} +(-1.38506 - 0.294404i) q^{84} +(0.628123 + 0.133512i) q^{85} +(2.27121 - 6.99006i) q^{86} +(0.0640631 - 0.110960i) q^{87} +(-2.57575 - 4.46133i) q^{88} +(1.87406 - 0.398343i) q^{89} +(0.230467 + 0.167444i) q^{90} +(-0.0611226 + 9.42159i) q^{91} +11.5866 q^{92} +(2.00370 - 0.354275i) q^{93} +(-1.33211 - 2.30727i) q^{94} +(0.00276324 + 0.0262905i) q^{95} +(1.72867 + 1.25595i) q^{96} +(-8.66381 - 9.62213i) q^{97} +(-0.0616848 + 0.106841i) q^{98} -5.89527 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

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

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.657025 0.292526i −0.464587 0.206847i 0.161075 0.986942i \(-0.448504\pi\)
−0.625661 + 0.780095i \(0.715171\pi\)
\(3\) −0.0382007 + 0.363455i −0.0220552 + 0.209841i 0.977944 + 0.208866i \(0.0669771\pi\)
−1.00000 0.000975363i \(0.999690\pi\)
\(4\) −0.992151 1.10190i −0.496076 0.550948i
\(5\) −0.138184 −0.0617977 −0.0308988 0.999523i \(-0.509837\pi\)
−0.0308988 + 0.999523i \(0.509837\pi\)
\(6\) 0.131419 0.227624i 0.0536516 0.0929273i
\(7\) −1.74853 1.94194i −0.660881 0.733983i 0.315765 0.948837i \(-0.397739\pi\)
−0.976646 + 0.214855i \(0.931072\pi\)
\(8\) 0.774026 + 2.38221i 0.273660 + 0.842238i
\(9\) 2.80380 + 0.595967i 0.934601 + 0.198656i
\(10\) 0.0907902 + 0.0404224i 0.0287104 + 0.0127827i
\(11\) −2.01171 + 0.427602i −0.606553 + 0.128927i −0.500942 0.865481i \(-0.667013\pi\)
−0.105611 + 0.994408i \(0.533680\pi\)
\(12\) 0.438391 0.318509i 0.126552 0.0919458i
\(13\) −2.66374 2.42992i −0.738788 0.673938i
\(14\) 0.580758 + 1.78739i 0.155214 + 0.477700i
\(15\) 0.00527872 0.0502236i 0.00136296 0.0129677i
\(16\) −0.121675 + 1.15766i −0.0304186 + 0.289414i
\(17\) −4.54556 0.966188i −1.10246 0.234335i −0.379477 0.925201i \(-0.623896\pi\)
−0.722983 + 0.690866i \(0.757229\pi\)
\(18\) −1.66783 1.21175i −0.393112 0.285612i
\(19\) −0.0199969 0.190257i −0.00458759 0.0436480i 0.991989 0.126327i \(-0.0403190\pi\)
−0.996576 + 0.0826793i \(0.973652\pi\)
\(20\) 0.137099 + 0.152264i 0.0306563 + 0.0340473i
\(21\) 0.772602 0.561328i 0.168596 0.122492i
\(22\) 1.44683 + 0.307533i 0.308465 + 0.0655662i
\(23\) −5.22877 + 5.80714i −1.09027 + 1.21087i −0.114194 + 0.993458i \(0.536429\pi\)
−0.976080 + 0.217413i \(0.930238\pi\)
\(24\) −0.895395 + 0.190322i −0.182772 + 0.0388493i
\(25\) −4.98091 −0.996181
\(26\) 1.03933 + 2.37573i 0.203829 + 0.465919i
\(27\) −0.662512 + 2.03900i −0.127500 + 0.392406i
\(28\) −0.405008 + 3.85339i −0.0765392 + 0.728222i
\(29\) −0.320281 0.142598i −0.0594747 0.0264798i 0.376784 0.926301i \(-0.377030\pi\)
−0.436258 + 0.899821i \(0.643697\pi\)
\(30\) −0.0181600 + 0.0314540i −0.00331554 + 0.00574269i
\(31\) −1.53719 5.35136i −0.276088 0.961132i
\(32\) 2.92339 5.06346i 0.516787 0.895102i
\(33\) −0.0785655 0.747501i −0.0136765 0.130123i
\(34\) 2.70391 + 1.96450i 0.463717 + 0.336910i
\(35\) 0.241618 + 0.268344i 0.0408409 + 0.0453584i
\(36\) −2.12510 3.68079i −0.354184 0.613465i
\(37\) −3.98719 6.90601i −0.655489 1.13534i −0.981771 0.190068i \(-0.939129\pi\)
0.326282 0.945273i \(-0.394204\pi\)
\(38\) −0.0425168 + 0.130853i −0.00689714 + 0.0212272i
\(39\) 0.984923 0.875326i 0.157714 0.140164i
\(40\) −0.106958 0.329183i −0.0169115 0.0520483i
\(41\) −0.827375 0.368371i −0.129214 0.0575299i 0.341111 0.940023i \(-0.389197\pi\)
−0.470325 + 0.882493i \(0.655863\pi\)
\(42\) −0.671822 + 0.142800i −0.103664 + 0.0220345i
\(43\) 1.06821 + 10.1634i 0.162901 + 1.54990i 0.704770 + 0.709435i \(0.251050\pi\)
−0.541870 + 0.840463i \(0.682283\pi\)
\(44\) 2.46709 + 1.79245i 0.371928 + 0.270222i
\(45\) −0.387440 0.0823529i −0.0577562 0.0122764i
\(46\) 5.13417 2.28588i 0.756992 0.337035i
\(47\) 2.99692 + 2.17739i 0.437145 + 0.317605i 0.784500 0.620129i \(-0.212920\pi\)
−0.347354 + 0.937734i \(0.612920\pi\)
\(48\) −0.416108 0.0884465i −0.0600600 0.0127662i
\(49\) 0.0179304 0.170597i 0.00256149 0.0243710i
\(50\) 3.27258 + 1.45705i 0.462812 + 0.206057i
\(51\) 0.524810 1.61520i 0.0734881 0.226173i
\(52\) −0.0346822 + 5.34601i −0.00480956 + 0.741358i
\(53\) −2.65330 8.16603i −0.364459 1.12169i −0.950319 0.311278i \(-0.899243\pi\)
0.585860 0.810413i \(-0.300757\pi\)
\(54\) 1.03175 1.14587i 0.140403 0.155933i
\(55\) 0.277986 0.0590877i 0.0374836 0.00796738i
\(56\) 3.27269 5.66847i 0.437332 0.757481i
\(57\) 0.0699139 0.00926033
\(58\) 0.168719 + 0.187381i 0.0221539 + 0.0246044i
\(59\) −3.95013 + 1.75871i −0.514263 + 0.228965i −0.647424 0.762130i \(-0.724154\pi\)
0.133161 + 0.991094i \(0.457487\pi\)
\(60\) −0.0605785 + 0.0440129i −0.00782065 + 0.00568203i
\(61\) −1.43052 + 2.47773i −0.183159 + 0.317240i −0.942955 0.332922i \(-0.891966\pi\)
0.759796 + 0.650162i \(0.225299\pi\)
\(62\) −0.555441 + 3.96564i −0.0705410 + 0.503637i
\(63\) −3.74520 6.48687i −0.471850 0.817269i
\(64\) −1.51849 + 1.10325i −0.189811 + 0.137906i
\(65\) 0.368086 + 0.335775i 0.0456554 + 0.0416478i
\(66\) −0.167044 + 0.514109i −0.0205617 + 0.0632824i
\(67\) 0.624921 + 1.08239i 0.0763462 + 0.132236i 0.901671 0.432423i \(-0.142341\pi\)
−0.825325 + 0.564658i \(0.809008\pi\)
\(68\) 3.44524 + 5.96734i 0.417797 + 0.723646i
\(69\) −1.91089 2.12226i −0.230044 0.255490i
\(70\) −0.0802514 0.246988i −0.00959187 0.0295208i
\(71\) 11.2909 + 2.39996i 1.33998 + 0.284822i 0.821472 0.570248i \(-0.193153\pi\)
0.518512 + 0.855071i \(0.326486\pi\)
\(72\) 0.750501 + 7.14054i 0.0884473 + 0.841520i
\(73\) 2.08989 6.43203i 0.244603 0.752812i −0.751098 0.660191i \(-0.770475\pi\)
0.995701 0.0926213i \(-0.0295246\pi\)
\(74\) 0.599491 + 5.70377i 0.0696894 + 0.663050i
\(75\) 0.190274 1.81034i 0.0219710 0.209040i
\(76\) −0.189804 + 0.210799i −0.0217720 + 0.0241803i
\(77\) 4.34790 + 3.15894i 0.495490 + 0.359994i
\(78\) −0.903174 + 0.286995i −0.102264 + 0.0324958i
\(79\) −0.484542 1.49127i −0.0545152 0.167780i 0.920092 0.391703i \(-0.128114\pi\)
−0.974607 + 0.223922i \(0.928114\pi\)
\(80\) 0.0168135 0.159969i 0.00187980 0.0178851i
\(81\) 7.14009 + 3.17897i 0.793344 + 0.353219i
\(82\) 0.435848 + 0.484058i 0.0481313 + 0.0534552i
\(83\) 4.52538 3.28788i 0.496725 0.360892i −0.311039 0.950397i \(-0.600677\pi\)
0.807765 + 0.589505i \(0.200677\pi\)
\(84\) −1.38506 0.294404i −0.151123 0.0321221i
\(85\) 0.628123 + 0.133512i 0.0681295 + 0.0144814i
\(86\) 2.27121 6.99006i 0.244911 0.753757i
\(87\) 0.0640631 0.110960i 0.00686828 0.0118962i
\(88\) −2.57575 4.46133i −0.274576 0.475580i
\(89\) 1.87406 0.398343i 0.198650 0.0422243i −0.107512 0.994204i \(-0.534288\pi\)
0.306162 + 0.951979i \(0.400955\pi\)
\(90\) 0.230467 + 0.167444i 0.0242934 + 0.0176502i
\(91\) −0.0611226 + 9.42159i −0.00640739 + 0.987651i
\(92\) 11.5866 1.20799
\(93\) 2.00370 0.354275i 0.207774 0.0367366i
\(94\) −1.33211 2.30727i −0.137396 0.237977i
\(95\) 0.00276324 + 0.0262905i 0.000283503 + 0.00269735i
\(96\) 1.72867 + 1.25595i 0.176431 + 0.128185i
\(97\) −8.66381 9.62213i −0.879677 0.976980i 0.120199 0.992750i \(-0.461647\pi\)
−0.999876 + 0.0157701i \(0.994980\pi\)
\(98\) −0.0616848 + 0.106841i −0.00623110 + 0.0107926i
\(99\) −5.89527 −0.592497
\(100\) 4.94181 + 5.48844i 0.494181 + 0.548844i
\(101\) 11.7445 13.0436i 1.16862 1.29789i 0.222182 0.975005i \(-0.428682\pi\)
0.946440 0.322880i \(-0.104651\pi\)
\(102\) −0.817301 + 0.907705i −0.0809248 + 0.0898761i
\(103\) −9.22179 + 6.70002i −0.908650 + 0.660173i −0.940673 0.339315i \(-0.889805\pi\)
0.0320234 + 0.999487i \(0.489805\pi\)
\(104\) 3.72676 8.22640i 0.365439 0.806665i
\(105\) −0.106761 + 0.0775665i −0.0104188 + 0.00756971i
\(106\) −0.645492 + 6.14144i −0.0626957 + 0.596510i
\(107\) 11.4163 12.6791i 1.10366 1.22574i 0.131522 0.991313i \(-0.458014\pi\)
0.972135 0.234422i \(-0.0753197\pi\)
\(108\) 2.90408 1.29298i 0.279445 0.124417i
\(109\) 4.50263 + 3.27135i 0.431274 + 0.313339i 0.782158 0.623080i \(-0.214119\pi\)
−0.350884 + 0.936419i \(0.614119\pi\)
\(110\) −0.199928 0.0424960i −0.0190624 0.00405184i
\(111\) 2.66234 1.18535i 0.252698 0.112508i
\(112\) 2.46085 1.78791i 0.232528 0.168942i
\(113\) 4.91394 + 5.45748i 0.462264 + 0.513397i 0.928535 0.371246i \(-0.121069\pi\)
−0.466270 + 0.884642i \(0.654403\pi\)
\(114\) −0.0459352 0.0204517i −0.00430222 0.00191547i
\(115\) 0.722531 0.802452i 0.0673764 0.0748291i
\(116\) 0.160639 + 0.494395i 0.0149149 + 0.0459035i
\(117\) −6.02045 8.40051i −0.556591 0.776627i
\(118\) 3.10980 0.286281
\(119\) 6.07176 + 10.5166i 0.556597 + 0.964055i
\(120\) 0.123729 0.0262994i 0.0112949 0.00240080i
\(121\) −6.18487 + 2.75368i −0.562261 + 0.250335i
\(122\) 1.66468 1.20946i 0.150713 0.109500i
\(123\) 0.165493 0.286642i 0.0149220 0.0258456i
\(124\) −4.37151 + 7.00318i −0.392574 + 0.628904i
\(125\) 1.37920 0.123359
\(126\) 0.563107 + 5.35760i 0.0501655 + 0.477293i
\(127\) 0.384266 3.65605i 0.0340981 0.324422i −0.964155 0.265340i \(-0.914516\pi\)
0.998253 0.0590823i \(-0.0188175\pi\)
\(128\) −10.1176 + 2.15057i −0.894279 + 0.190085i
\(129\) −3.73473 −0.328825
\(130\) −0.143618 0.328287i −0.0125962 0.0287927i
\(131\) −1.30563 + 4.01833i −0.114074 + 0.351083i −0.991753 0.128166i \(-0.959091\pi\)
0.877679 + 0.479249i \(0.159091\pi\)
\(132\) −0.745719 + 0.828205i −0.0649065 + 0.0720860i
\(133\) −0.334503 + 0.371503i −0.0290051 + 0.0322134i
\(134\) −0.0939596 0.893966i −0.00811687 0.0772269i
\(135\) 0.0915484 0.281757i 0.00787923 0.0242498i
\(136\) −1.21672 11.5763i −0.104333 0.992662i
\(137\) 1.85012 0.823727i 0.158066 0.0703757i −0.326178 0.945308i \(-0.605761\pi\)
0.484245 + 0.874932i \(0.339094\pi\)
\(138\) 0.634686 + 1.95336i 0.0540281 + 0.166281i
\(139\) −10.5385 + 4.69205i −0.893865 + 0.397974i −0.801670 0.597767i \(-0.796055\pi\)
−0.0921948 + 0.995741i \(0.529388\pi\)
\(140\) 0.0559655 0.532476i 0.00472995 0.0450024i
\(141\) −0.905867 + 1.00607i −0.0762878 + 0.0847262i
\(142\) −6.71635 4.87972i −0.563624 0.409497i
\(143\) 6.39770 + 3.74926i 0.535003 + 0.313529i
\(144\) −1.03108 + 3.17333i −0.0859230 + 0.264444i
\(145\) 0.0442576 + 0.0197048i 0.00367540 + 0.00163639i
\(146\) −3.25465 + 3.61465i −0.269357 + 0.299151i
\(147\) 0.0613193 + 0.0130338i 0.00505753 + 0.00107501i
\(148\) −3.65381 + 11.2453i −0.300341 + 0.924355i
\(149\) 0.748108 1.29576i 0.0612874 0.106153i −0.833754 0.552136i \(-0.813813\pi\)
0.895041 + 0.445984i \(0.147146\pi\)
\(150\) −0.654586 + 1.13378i −0.0534467 + 0.0925724i
\(151\) 6.87502 21.1591i 0.559481 1.72191i −0.124324 0.992242i \(-0.539676\pi\)
0.683805 0.729664i \(-0.260324\pi\)
\(152\) 0.437755 0.194901i 0.0355066 0.0158086i
\(153\) −12.1690 5.41800i −0.983808 0.438020i
\(154\) −1.93261 3.34737i −0.155734 0.269739i
\(155\) 0.212415 + 0.739471i 0.0170616 + 0.0593958i
\(156\) −1.94171 0.216827i −0.155461 0.0173600i
\(157\) −5.85289 + 4.25237i −0.467111 + 0.339376i −0.796314 0.604883i \(-0.793220\pi\)
0.329203 + 0.944259i \(0.393220\pi\)
\(158\) −0.117879 + 1.12154i −0.00937791 + 0.0892249i
\(159\) 3.06934 0.652409i 0.243415 0.0517394i
\(160\) −0.403965 + 0.699688i −0.0319362 + 0.0553152i
\(161\) 20.4197 1.60930
\(162\) −3.76128 4.17733i −0.295514 0.328202i
\(163\) 3.58468 + 0.761947i 0.280774 + 0.0596803i 0.346146 0.938181i \(-0.387490\pi\)
−0.0653723 + 0.997861i \(0.520823\pi\)
\(164\) 0.414975 + 1.27716i 0.0324041 + 0.0997295i
\(165\) 0.0108565 + 0.103293i 0.000845176 + 0.00804131i
\(166\) −3.93508 + 0.836427i −0.305421 + 0.0649193i
\(167\) −18.9454 8.43505i −1.46604 0.652724i −0.490281 0.871564i \(-0.663106\pi\)
−0.975761 + 0.218840i \(0.929773\pi\)
\(168\) 1.93521 + 1.40602i 0.149305 + 0.108476i
\(169\) 1.19101 + 12.9453i 0.0916163 + 0.995794i
\(170\) −0.373636 0.271463i −0.0286566 0.0208202i
\(171\) 0.0573198 0.545362i 0.00438336 0.0417048i
\(172\) 10.1391 11.2607i 0.773102 0.858617i
\(173\) 19.5426 8.70091i 1.48579 0.661518i 0.506183 0.862426i \(-0.331056\pi\)
0.979610 + 0.200909i \(0.0643894\pi\)
\(174\) −0.0745498 + 0.0541636i −0.00565161 + 0.00410613i
\(175\) 8.70925 + 9.67260i 0.658357 + 0.731180i
\(176\) −0.250242 2.38090i −0.0188627 0.179467i
\(177\) −0.488315 1.50288i −0.0367040 0.112963i
\(178\) −1.34783 0.286490i −0.101024 0.0214733i
\(179\) −21.3988 + 4.54846i −1.59942 + 0.339968i −0.919431 0.393252i \(-0.871350\pi\)
−0.679992 + 0.733219i \(0.738017\pi\)
\(180\) 0.293655 + 0.508625i 0.0218877 + 0.0379107i
\(181\) 12.3749 0.919818 0.459909 0.887966i \(-0.347882\pi\)
0.459909 + 0.887966i \(0.347882\pi\)
\(182\) 2.79622 6.17233i 0.207270 0.457524i
\(183\) −0.845896 0.614579i −0.0625304 0.0454310i
\(184\) −17.8810 7.96114i −1.31821 0.586903i
\(185\) 0.550964 + 0.954298i 0.0405077 + 0.0701614i
\(186\) −1.42012 0.353368i −0.104128 0.0259102i
\(187\) 9.55749 0.698913
\(188\) −0.574141 5.46259i −0.0418735 0.398400i
\(189\) 5.11803 2.27869i 0.372282 0.165751i
\(190\) 0.00587514 0.0180818i 0.000426227 0.00131179i
\(191\) −9.23303 + 15.9921i −0.668078 + 1.15715i 0.310362 + 0.950618i \(0.399550\pi\)
−0.978441 + 0.206527i \(0.933784\pi\)
\(192\) −0.342974 0.594048i −0.0247520 0.0428717i
\(193\) −25.9582 + 5.51758i −1.86851 + 0.397164i −0.995838 0.0911424i \(-0.970948\pi\)
−0.872672 + 0.488306i \(0.837615\pi\)
\(194\) 2.87761 + 8.85637i 0.206600 + 0.635850i
\(195\) −0.136100 + 0.120956i −0.00974635 + 0.00866183i
\(196\) −0.205770 + 0.149500i −0.0146978 + 0.0106786i
\(197\) −14.5822 + 3.09953i −1.03894 + 0.220833i −0.695637 0.718394i \(-0.744878\pi\)
−0.343299 + 0.939226i \(0.611544\pi\)
\(198\) 3.87334 + 1.72452i 0.275266 + 0.122556i
\(199\) −14.2441 + 6.34188i −1.00974 + 0.449564i −0.843849 0.536581i \(-0.819716\pi\)
−0.165888 + 0.986145i \(0.553049\pi\)
\(200\) −3.85535 11.8656i −0.272615 0.839021i
\(201\) −0.417274 + 0.185783i −0.0294323 + 0.0131041i
\(202\) −11.5320 + 5.13439i −0.811390 + 0.361254i
\(203\) 0.283103 + 0.871302i 0.0198700 + 0.0611534i
\(204\) −2.30047 + 1.02424i −0.161065 + 0.0717108i
\(205\) 0.114330 + 0.0509029i 0.00798514 + 0.00355521i
\(206\) 8.01887 1.70446i 0.558701 0.118756i
\(207\) −18.1213 + 13.1659i −1.25952 + 0.915093i
\(208\) 3.13712 2.78803i 0.217520 0.193315i
\(209\) 0.121582 + 0.374192i 0.00841002 + 0.0258834i
\(210\) 0.0928349 0.0197327i 0.00640621 0.00136168i
\(211\) −0.225876 0.391229i −0.0155500 0.0269333i 0.858146 0.513406i \(-0.171617\pi\)
−0.873696 + 0.486473i \(0.838283\pi\)
\(212\) −6.36563 + 11.0256i −0.437194 + 0.757242i
\(213\) −1.30360 + 4.01206i −0.0893210 + 0.274902i
\(214\) −11.2098 + 4.99091i −0.766284 + 0.341172i
\(215\) −0.147610 1.40441i −0.0100669 0.0957801i
\(216\) −5.37013 −0.365391
\(217\) −7.70418 + 12.3421i −0.522994 + 0.837838i
\(218\) −2.00138 3.46650i −0.135551 0.234781i
\(219\) 2.25792 + 1.00529i 0.152576 + 0.0679312i
\(220\) −0.340912 0.247687i −0.0229843 0.0166991i
\(221\) 9.76043 + 13.6190i 0.656557 + 0.916113i
\(222\) −2.09597 −0.140672
\(223\) −10.6858 18.5083i −0.715571 1.23941i −0.962739 0.270433i \(-0.912833\pi\)
0.247168 0.968973i \(-0.420500\pi\)
\(224\) −14.9445 + 3.17656i −0.998524 + 0.212243i
\(225\) −13.9655 2.96845i −0.931032 0.197897i
\(226\) −1.63212 5.02316i −0.108567 0.334135i
\(227\) 0.226502 + 2.15502i 0.0150334 + 0.143034i 0.999464 0.0327410i \(-0.0104237\pi\)
−0.984430 + 0.175775i \(0.943757\pi\)
\(228\) −0.0693652 0.0770379i −0.00459382 0.00510196i
\(229\) 12.6954 9.22378i 0.838939 0.609525i −0.0831351 0.996538i \(-0.526493\pi\)
0.922074 + 0.387013i \(0.126493\pi\)
\(230\) −0.709459 + 0.315872i −0.0467804 + 0.0208280i
\(231\) −1.31422 + 1.45959i −0.0864697 + 0.0960343i
\(232\) 0.0917929 0.873351i 0.00602650 0.0573383i
\(233\) 5.42545 + 3.94182i 0.355433 + 0.258237i 0.751145 0.660138i \(-0.229502\pi\)
−0.395712 + 0.918375i \(0.629502\pi\)
\(234\) 1.49822 + 7.28048i 0.0979414 + 0.475940i
\(235\) −0.414125 0.300880i −0.0270146 0.0196272i
\(236\) 5.85704 + 2.60772i 0.381261 + 0.169748i
\(237\) 0.560518 0.119142i 0.0364096 0.00773909i
\(238\) −0.912915 8.68581i −0.0591755 0.563017i
\(239\) −5.05541 15.5589i −0.327007 1.00642i −0.970526 0.240995i \(-0.922526\pi\)
0.643519 0.765430i \(-0.277474\pi\)
\(240\) 0.0574994 + 0.0122219i 0.00371157 + 0.000788919i
\(241\) 2.21303 + 2.45782i 0.142554 + 0.158322i 0.810193 0.586163i \(-0.199362\pi\)
−0.667640 + 0.744484i \(0.732695\pi\)
\(242\) 4.86914 0.313000
\(243\) −4.64407 + 8.04377i −0.297917 + 0.516008i
\(244\) 4.14948 0.882000i 0.265643 0.0564643i
\(245\) −0.00247770 + 0.0235737i −0.000158294 + 0.00150607i
\(246\) −0.192583 + 0.139920i −0.0122786 + 0.00892096i
\(247\) −0.409043 + 0.555387i −0.0260268 + 0.0353384i
\(248\) 11.5582 7.80400i 0.733948 0.495555i
\(249\) 1.02213 + 1.77037i 0.0647746 + 0.112193i
\(250\) −0.906168 0.403452i −0.0573111 0.0255165i
\(251\) 9.34388 4.16016i 0.589781 0.262587i −0.0900729 0.995935i \(-0.528710\pi\)
0.679854 + 0.733348i \(0.262043\pi\)
\(252\) −3.43205 + 10.5628i −0.216199 + 0.665392i
\(253\) 8.03562 13.9181i 0.505195 0.875023i
\(254\) −1.32196 + 2.28971i −0.0829474 + 0.143669i
\(255\) −0.0725202 + 0.223194i −0.00454139 + 0.0139770i
\(256\) 10.9485 + 2.32718i 0.684281 + 0.145448i
\(257\) −20.0821 + 22.3034i −1.25268 + 1.39125i −0.364861 + 0.931062i \(0.618884\pi\)
−0.887823 + 0.460185i \(0.847783\pi\)
\(258\) 2.45381 + 1.09251i 0.152768 + 0.0680165i
\(259\) −6.43932 + 19.8182i −0.400120 + 1.23144i
\(260\) 0.00479252 0.738732i 0.000297220 0.0458142i
\(261\) −0.813021 0.590694i −0.0503247 0.0365631i
\(262\) 2.03330 2.25821i 0.125618 0.139513i
\(263\) −1.80541 + 17.1773i −0.111326 + 1.05920i 0.786120 + 0.618074i \(0.212087\pi\)
−0.897446 + 0.441124i \(0.854580\pi\)
\(264\) 1.71989 0.765745i 0.105852 0.0471283i
\(265\) 0.366644 + 1.12841i 0.0225227 + 0.0693179i
\(266\) 0.328451 0.146236i 0.0201386 0.00896629i
\(267\) 0.0731896 + 0.696353i 0.00447913 + 0.0426161i
\(268\) 0.572670 1.76250i 0.0349814 0.107662i
\(269\) −0.447174 4.25458i −0.0272647 0.259406i −0.999660 0.0260675i \(-0.991702\pi\)
0.972395 0.233339i \(-0.0749651\pi\)
\(270\) −0.142571 + 0.158341i −0.00867659 + 0.00963633i
\(271\) 2.86424 3.18106i 0.173990 0.193236i −0.649842 0.760069i \(-0.725165\pi\)
0.823832 + 0.566833i \(0.191832\pi\)
\(272\) 1.67159 5.14463i 0.101355 0.311939i
\(273\) −3.42199 0.382126i −0.207108 0.0231273i
\(274\) −1.45654 −0.0879926
\(275\) 10.0201 2.12984i 0.604237 0.128434i
\(276\) −0.442616 + 4.21121i −0.0266423 + 0.253485i
\(277\) −3.17747 30.2316i −0.190916 1.81644i −0.500684 0.865630i \(-0.666918\pi\)
0.309768 0.950812i \(-0.399749\pi\)
\(278\) 8.29661 0.497598
\(279\) −1.12075 15.9203i −0.0670974 0.953121i
\(280\) −0.452233 + 0.783290i −0.0270261 + 0.0468105i
\(281\) 11.2692 8.18753i 0.672262 0.488427i −0.198520 0.980097i \(-0.563613\pi\)
0.870782 + 0.491670i \(0.163613\pi\)
\(282\) 0.889478 0.396021i 0.0529677 0.0235827i
\(283\) 3.97013 0.843876i 0.235999 0.0501632i −0.0883935 0.996086i \(-0.528173\pi\)
0.324393 + 0.945922i \(0.394840\pi\)
\(284\) −8.55779 14.8225i −0.507811 0.879555i
\(285\) −0.00966097 −0.000572267
\(286\) −3.10669 4.33486i −0.183702 0.256325i
\(287\) 0.731335 + 2.25082i 0.0431693 + 0.132862i
\(288\) 11.2143 12.4547i 0.660807 0.733900i
\(289\) 4.19832 + 1.86921i 0.246960 + 0.109954i
\(290\) −0.0233142 0.0258930i −0.00136906 0.00152049i
\(291\) 3.82818 2.78133i 0.224412 0.163045i
\(292\) −9.16092 + 4.07870i −0.536102 + 0.238688i
\(293\) −8.39556 1.78453i −0.490474 0.104253i −0.0439658 0.999033i \(-0.513999\pi\)
−0.446508 + 0.894780i \(0.647333\pi\)
\(294\) −0.0364756 0.0265011i −0.00212730 0.00154557i
\(295\) 0.545844 0.243025i 0.0317803 0.0141495i
\(296\) 13.3654 14.8437i 0.776846 0.862775i
\(297\) 0.460900 4.38517i 0.0267441 0.254453i
\(298\) −0.870569 + 0.632505i −0.0504307 + 0.0366401i
\(299\) 28.0389 2.76322i 1.62153 0.159801i
\(300\) −2.18358 + 1.58647i −0.126069 + 0.0915946i
\(301\) 17.8688 19.8453i 1.02994 1.14386i
\(302\) −10.7067 + 11.8909i −0.616099 + 0.684247i
\(303\) 4.29211 + 4.76687i 0.246575 + 0.273850i
\(304\) 0.222686 0.0127719
\(305\) 0.197674 0.342382i 0.0113188 0.0196047i
\(306\) 6.41045 + 7.11952i 0.366461 + 0.406996i
\(307\) 22.3972 + 16.2725i 1.27828 + 0.928722i 0.999500 0.0316339i \(-0.0100711\pi\)
0.278777 + 0.960356i \(0.410071\pi\)
\(308\) −0.832959 7.92508i −0.0474623 0.451573i
\(309\) −2.08288 3.60765i −0.118491 0.205232i
\(310\) 0.0767529 0.547988i 0.00435927 0.0311236i
\(311\) 10.5681 0.599259 0.299630 0.954056i \(-0.403137\pi\)
0.299630 + 0.954056i \(0.403137\pi\)
\(312\) 2.84756 + 1.66877i 0.161212 + 0.0944753i
\(313\) −5.52363 4.01315i −0.312214 0.226837i 0.420632 0.907231i \(-0.361808\pi\)
−0.732846 + 0.680395i \(0.761808\pi\)
\(314\) 5.08942 1.08179i 0.287213 0.0610489i
\(315\) 0.517525 + 0.896380i 0.0291593 + 0.0505053i
\(316\) −1.16248 + 2.01348i −0.0653946 + 0.113267i
\(317\) −0.773075 + 2.37928i −0.0434202 + 0.133634i −0.970417 0.241437i \(-0.922381\pi\)
0.926996 + 0.375070i \(0.122381\pi\)
\(318\) −2.20748 0.469215i −0.123789 0.0263123i
\(319\) 0.705287 + 0.149913i 0.0394885 + 0.00839354i
\(320\) 0.209831 0.152451i 0.0117299 0.00852226i
\(321\) 4.17218 + 4.63367i 0.232868 + 0.258626i
\(322\) −13.4163 5.97331i −0.747659 0.332879i
\(323\) −0.0929276 + 0.884147i −0.00517063 + 0.0491953i
\(324\) −3.58116 11.0217i −0.198953 0.612315i
\(325\) 13.2678 + 12.1032i 0.735967 + 0.671364i
\(326\) −2.13233 1.54923i −0.118099 0.0858040i
\(327\) −1.36099 + 1.51154i −0.0752631 + 0.0835882i
\(328\) 0.237127 2.25611i 0.0130931 0.124573i
\(329\) −1.01184 9.62704i −0.0557847 0.530756i
\(330\) 0.0230828 0.0710415i 0.00127067 0.00391071i
\(331\) 1.77162 + 16.8558i 0.0973770 + 0.926480i 0.928735 + 0.370743i \(0.120897\pi\)
−0.831358 + 0.555737i \(0.812436\pi\)
\(332\) −8.11277 1.72442i −0.445246 0.0946400i
\(333\) −7.06353 21.7393i −0.387079 1.19131i
\(334\) 9.98015 + 11.0841i 0.546089 + 0.606494i
\(335\) −0.0863539 0.149569i −0.00471802 0.00817185i
\(336\) 0.555819 + 0.962707i 0.0303224 + 0.0525200i
\(337\) 4.05033 12.4656i 0.220635 0.679046i −0.778070 0.628178i \(-0.783801\pi\)
0.998705 0.0508683i \(-0.0161989\pi\)
\(338\) 3.00432 8.85380i 0.163414 0.481583i
\(339\) −2.17127 + 1.57752i −0.117927 + 0.0856790i
\(340\) −0.476077 0.824589i −0.0258189 0.0447196i
\(341\) 5.38063 + 10.1081i 0.291378 + 0.547383i
\(342\) −0.197193 + 0.341548i −0.0106630 + 0.0184688i
\(343\) −15.1611 + 11.0152i −0.818624 + 0.594765i
\(344\) −23.3844 + 10.4114i −1.26080 + 0.561346i
\(345\) 0.264054 + 0.293262i 0.0142162 + 0.0157887i
\(346\) −15.3852 −0.827112
\(347\) −1.16754 + 2.02224i −0.0626768 + 0.108559i −0.895661 0.444737i \(-0.853297\pi\)
0.832984 + 0.553297i \(0.186630\pi\)
\(348\) −0.185827 + 0.0394988i −0.00996138 + 0.00211736i
\(349\) 18.4695 20.5125i 0.988651 1.09801i −0.00653199 0.999979i \(-0.502079\pi\)
0.995183 0.0980300i \(-0.0312541\pi\)
\(350\) −2.89270 8.90282i −0.154621 0.475876i
\(351\) 6.71936 3.82152i 0.358653 0.203978i
\(352\) −3.71586 + 11.4363i −0.198056 + 0.609554i
\(353\) 6.74233 + 3.00188i 0.358858 + 0.159774i 0.578243 0.815865i \(-0.303739\pi\)
−0.219385 + 0.975638i \(0.570405\pi\)
\(354\) −0.118797 + 1.13027i −0.00631397 + 0.0600734i
\(355\) −1.56022 0.331635i −0.0828079 0.0176014i
\(356\) −2.29828 1.66980i −0.121809 0.0884992i
\(357\) −4.05426 + 1.80507i −0.214574 + 0.0955345i
\(358\) 15.3901 + 3.27127i 0.813392 + 0.172892i
\(359\) 20.0244 + 14.5486i 1.05685 + 0.767843i 0.973502 0.228678i \(-0.0734401\pi\)
0.0833435 + 0.996521i \(0.473440\pi\)
\(360\) −0.103707 0.986706i −0.00546584 0.0520040i
\(361\) 18.5490 3.94271i 0.976263 0.207511i
\(362\) −8.13060 3.61998i −0.427335 0.190262i
\(363\) −0.764574 2.35312i −0.0401297 0.123507i
\(364\) 10.4422 9.28029i 0.547323 0.486419i
\(365\) −0.288789 + 0.888802i −0.0151159 + 0.0465220i
\(366\) 0.375994 + 0.651240i 0.0196535 + 0.0340409i
\(367\) 16.0392 + 27.7807i 0.837239 + 1.45014i 0.892194 + 0.451652i \(0.149165\pi\)
−0.0549552 + 0.998489i \(0.517502\pi\)
\(368\) −6.08646 6.75970i −0.317279 0.352374i
\(369\) −2.10026 1.52593i −0.109335 0.0794366i
\(370\) −0.0828399 0.788169i −0.00430664 0.0409750i
\(371\) −11.2185 + 19.4311i −0.582437 + 1.00881i
\(372\) −2.37835 1.85638i −0.123312 0.0962486i
\(373\) −14.7786 + 25.5973i −0.765207 + 1.32538i 0.174930 + 0.984581i \(0.444030\pi\)
−0.940137 + 0.340797i \(0.889303\pi\)
\(374\) −6.27950 2.79582i −0.324705 0.144568i
\(375\) −0.0526864 + 0.501277i −0.00272071 + 0.0258858i
\(376\) −2.86730 + 8.82463i −0.147870 + 0.455096i
\(377\) 0.506643 + 1.15810i 0.0260934 + 0.0596452i
\(378\) −4.02925 −0.207242
\(379\) −11.5448 + 2.45393i −0.593018 + 0.126050i −0.494638 0.869099i \(-0.664699\pi\)
−0.0983801 + 0.995149i \(0.531366\pi\)
\(380\) 0.0262278 0.0291290i 0.00134546 0.00149428i
\(381\) 1.31413 + 0.279327i 0.0673250 + 0.0143104i
\(382\) 10.7444 7.80628i 0.549733 0.399404i
\(383\) 8.71876 + 9.68317i 0.445508 + 0.494787i 0.923511 0.383571i \(-0.125306\pi\)
−0.478003 + 0.878358i \(0.658639\pi\)
\(384\) −0.395134 3.75945i −0.0201641 0.191849i
\(385\) −0.600810 0.436514i −0.0306201 0.0222468i
\(386\) 18.6692 + 3.96826i 0.950237 + 0.201979i
\(387\) −3.06197 + 29.1327i −0.155649 + 1.48090i
\(388\) −2.00678 + 19.0932i −0.101879 + 0.969312i
\(389\) 0.775557 + 2.38692i 0.0393223 + 0.121022i 0.968791 0.247880i \(-0.0797339\pi\)
−0.929468 + 0.368902i \(0.879734\pi\)
\(390\) 0.124804 0.0396580i 0.00631970 0.00200816i
\(391\) 29.3785 21.3447i 1.48573 1.07945i
\(392\) 0.420276 0.0893324i 0.0212271 0.00451197i
\(393\) −1.41061 0.628042i −0.0711557 0.0316805i
\(394\) 10.4875 + 2.22919i 0.528354 + 0.112305i
\(395\) 0.0669558 + 0.206069i 0.00336891 + 0.0103684i
\(396\) 5.84900 + 6.49597i 0.293923 + 0.326435i
\(397\) 8.19003 14.1855i 0.411046 0.711952i −0.583959 0.811783i \(-0.698497\pi\)
0.995004 + 0.0998312i \(0.0318303\pi\)
\(398\) 11.2139 0.562101
\(399\) −0.122246 0.135768i −0.00611998 0.00679692i
\(400\) 0.606049 5.76618i 0.0303025 0.288309i
\(401\) −22.4412 9.99147i −1.12066 0.498950i −0.239088 0.970998i \(-0.576848\pi\)
−0.881573 + 0.472048i \(0.843515\pi\)
\(402\) 0.328506 0.0163844
\(403\) −8.90868 + 17.9899i −0.443773 + 0.896139i
\(404\) −26.0250 −1.29479
\(405\) −0.986645 0.439283i −0.0490268 0.0218281i
\(406\) 0.0688729 0.655282i 0.00341811 0.0325211i
\(407\) 10.9741 + 12.1879i 0.543965 + 0.604134i
\(408\) 4.25396 0.210602
\(409\) 7.18540 12.4455i 0.355295 0.615390i −0.631873 0.775072i \(-0.717714\pi\)
0.987168 + 0.159682i \(0.0510470\pi\)
\(410\) −0.0602271 0.0668890i −0.00297440 0.00330341i
\(411\) 0.228712 + 0.703903i 0.0112815 + 0.0347210i
\(412\) 16.5321 + 3.51401i 0.814480 + 0.173123i
\(413\) 10.3222 + 4.59575i 0.507923 + 0.226142i
\(414\) 15.7575 3.34936i 0.774439 0.164612i
\(415\) −0.625335 + 0.454332i −0.0306965 + 0.0223023i
\(416\) −20.0909 + 6.38414i −0.985039 + 0.313008i
\(417\) −1.30277 4.00952i −0.0637970 0.196347i
\(418\) 0.0295783 0.281419i 0.00144672 0.0137647i
\(419\) 1.34450 12.7921i 0.0656833 0.624935i −0.911318 0.411703i \(-0.864934\pi\)
0.977001 0.213232i \(-0.0683992\pi\)
\(420\) 0.191393 + 0.0406819i 0.00933904 + 0.00198507i
\(421\) −22.7432 16.5239i −1.10843 0.805324i −0.126017 0.992028i \(-0.540220\pi\)
−0.982416 + 0.186704i \(0.940220\pi\)
\(422\) 0.0339615 + 0.323122i 0.00165322 + 0.0157293i
\(423\) 7.10511 + 7.89103i 0.345462 + 0.383675i
\(424\) 17.3995 12.6414i 0.844992 0.613923i
\(425\) 22.6410 + 4.81249i 1.09825 + 0.233440i
\(426\) 2.03013 2.25469i 0.0983600 0.109240i
\(427\) 7.31288 1.55440i 0.353895 0.0752227i
\(428\) −25.2978 −1.22281
\(429\) −1.60709 + 2.18205i −0.0775909 + 0.105351i
\(430\) −0.313844 + 0.965913i −0.0151349 + 0.0465805i
\(431\) 2.41519 22.9790i 0.116336 1.10686i −0.768143 0.640278i \(-0.778819\pi\)
0.884479 0.466581i \(-0.154514\pi\)
\(432\) −2.27985 1.01506i −0.109689 0.0488369i
\(433\) 10.7840 18.6784i 0.518246 0.897629i −0.481529 0.876430i \(-0.659918\pi\)
0.999775 0.0211985i \(-0.00674821\pi\)
\(434\) 8.67223 5.85541i 0.416280 0.281068i
\(435\) −0.00885248 + 0.0153329i −0.000424444 + 0.000735158i
\(436\) −0.862602 8.20711i −0.0413111 0.393049i
\(437\) 1.20941 + 0.878688i 0.0578539 + 0.0420333i
\(438\) −1.18944 1.32100i −0.0568334 0.0631199i
\(439\) −9.44178 16.3536i −0.450632 0.780517i 0.547794 0.836613i \(-0.315468\pi\)
−0.998425 + 0.0560967i \(0.982135\pi\)
\(440\) 0.355927 + 0.616484i 0.0169682 + 0.0293897i
\(441\) 0.151943 0.467634i 0.00723540 0.0222683i
\(442\) −2.42893 11.8032i −0.115532 0.561421i
\(443\) −0.766876 2.36020i −0.0364354 0.112137i 0.931185 0.364548i \(-0.118776\pi\)
−0.967620 + 0.252411i \(0.918776\pi\)
\(444\) −3.94757 1.75757i −0.187344 0.0834107i
\(445\) −0.258964 + 0.0550446i −0.0122761 + 0.00260936i
\(446\) 1.60665 + 15.2862i 0.0760771 + 0.723825i
\(447\) 0.442373 + 0.321403i 0.0209235 + 0.0152018i
\(448\) 4.79756 + 1.01975i 0.226663 + 0.0481787i
\(449\) −4.65303 + 2.07166i −0.219590 + 0.0977678i −0.513583 0.858040i \(-0.671682\pi\)
0.293993 + 0.955807i \(0.405016\pi\)
\(450\) 8.30731 + 6.03561i 0.391610 + 0.284522i
\(451\) 1.82195 + 0.387268i 0.0857925 + 0.0182358i
\(452\) 1.13820 10.8293i 0.0535367 0.509367i
\(453\) 7.42777 + 3.30706i 0.348987 + 0.155379i
\(454\) 0.481582 1.48216i 0.0226018 0.0695611i
\(455\) 0.00844615 1.30191i 0.000395962 0.0610345i
\(456\) 0.0541152 + 0.166550i 0.00253418 + 0.00779940i
\(457\) −23.6727 + 26.2912i −1.10736 + 1.22985i −0.136391 + 0.990655i \(0.543550\pi\)
−0.970971 + 0.239195i \(0.923116\pi\)
\(458\) −11.0394 + 2.34650i −0.515838 + 0.109645i
\(459\) 4.98155 8.62829i 0.232519 0.402734i
\(460\) −1.60108 −0.0746507
\(461\) 11.1663 + 12.4015i 0.520068 + 0.577594i 0.944768 0.327740i \(-0.106287\pi\)
−0.424700 + 0.905334i \(0.639620\pi\)
\(462\) 1.29045 0.574544i 0.0600371 0.0267302i
\(463\) −24.9170 + 18.1033i −1.15799 + 0.841331i −0.989523 0.144376i \(-0.953883\pi\)
−0.168470 + 0.985707i \(0.553883\pi\)
\(464\) 0.204050 0.353425i 0.00947278 0.0164073i
\(465\) −0.276879 + 0.0489550i −0.0128400 + 0.00227023i
\(466\) −2.41157 4.17696i −0.111714 0.193494i
\(467\) −15.7875 + 11.4703i −0.730557 + 0.530781i −0.889740 0.456468i \(-0.849114\pi\)
0.159182 + 0.987249i \(0.449114\pi\)
\(468\) −3.28328 + 14.9685i −0.151770 + 0.691918i
\(469\) 1.00925 3.10615i 0.0466028 0.143429i
\(470\) 0.184075 + 0.318828i 0.00849076 + 0.0147064i
\(471\) −1.32196 2.28971i −0.0609128 0.105504i
\(472\) −7.24712 8.04875i −0.333576 0.370474i
\(473\) −6.49480 19.9890i −0.298631 0.919093i
\(474\) −0.403126 0.0856871i −0.0185162 0.00393574i
\(475\) 0.0996025 + 0.947654i 0.00457007 + 0.0434813i
\(476\) 5.56409 17.1245i 0.255029 0.784900i
\(477\) −2.57266 24.4772i −0.117794 1.12073i
\(478\) −1.22987 + 11.7015i −0.0562530 + 0.535212i
\(479\) −17.5746 + 19.5186i −0.803004 + 0.891826i −0.995998 0.0893740i \(-0.971513\pi\)
0.192995 + 0.981200i \(0.438180\pi\)
\(480\) −0.238874 0.173552i −0.0109030 0.00792152i
\(481\) −6.16020 + 28.0843i −0.280881 + 1.28054i
\(482\) −0.735038 2.26222i −0.0334801 0.103041i
\(483\) −0.780048 + 7.42166i −0.0354934 + 0.337697i
\(484\) 9.17060 + 4.08301i 0.416845 + 0.185592i
\(485\) 1.19720 + 1.32962i 0.0543620 + 0.0603751i
\(486\) 5.40428 3.92644i 0.245143 0.178107i
\(487\) 10.1673 + 2.16113i 0.460726 + 0.0979302i 0.432426 0.901669i \(-0.357658\pi\)
0.0282992 + 0.999599i \(0.490991\pi\)
\(488\) −7.00972 1.48996i −0.317315 0.0674474i
\(489\) −0.413871 + 1.27376i −0.0187159 + 0.0576016i
\(490\) 0.00852384 0.0147637i 0.000385068 0.000666957i
\(491\) 10.6345 + 18.4196i 0.479930 + 0.831263i 0.999735 0.0230221i \(-0.00732882\pi\)
−0.519805 + 0.854285i \(0.673995\pi\)
\(492\) −0.480043 + 0.102036i −0.0216420 + 0.00460015i
\(493\) 1.31808 + 0.957641i 0.0593633 + 0.0431300i
\(494\) 0.431217 0.245247i 0.0194014 0.0110342i
\(495\) 0.814631 0.0366149
\(496\) 6.38207 1.12841i 0.286563 0.0506673i
\(497\) −15.0819 26.1226i −0.676515 1.17176i
\(498\) −0.153681 1.46218i −0.00688661 0.0655218i
\(499\) −5.51847 4.00941i −0.247041 0.179486i 0.457373 0.889275i \(-0.348790\pi\)
−0.704414 + 0.709789i \(0.748790\pi\)
\(500\) −1.36837 1.51973i −0.0611956 0.0679646i
\(501\) 3.78949 6.56360i 0.169302 0.293240i
\(502\) −7.35612 −0.328320
\(503\) −18.0261 20.0200i −0.803744 0.892648i 0.192316 0.981333i \(-0.438400\pi\)
−0.996060 + 0.0886849i \(0.971734\pi\)
\(504\) 12.5542 13.9428i 0.559208 0.621064i
\(505\) −1.62290 + 1.80241i −0.0722181 + 0.0802063i
\(506\) −9.35101 + 6.79391i −0.415703 + 0.302026i
\(507\) −4.75054 0.0616409i −0.210979 0.00273757i
\(508\) −4.40984 + 3.20393i −0.195655 + 0.142152i
\(509\) −3.31532 + 31.5431i −0.146949 + 1.39813i 0.633905 + 0.773411i \(0.281451\pi\)
−0.780854 + 0.624714i \(0.785216\pi\)
\(510\) 0.112938 0.125430i 0.00500097 0.00555414i
\(511\) −16.1448 + 7.18814i −0.714205 + 0.317985i
\(512\) 10.2237 + 7.42795i 0.451828 + 0.328272i
\(513\) 0.401183 + 0.0852742i 0.0177127 + 0.00376495i
\(514\) 19.7187 8.77934i 0.869756 0.387240i
\(515\) 1.27430 0.925834i 0.0561524 0.0407971i
\(516\) 3.70542 + 4.11529i 0.163122 + 0.181165i
\(517\) −6.95998 3.09878i −0.306099 0.136284i
\(518\) 10.0281 11.1374i 0.440611 0.489348i
\(519\) 2.41585 + 7.43522i 0.106044 + 0.326370i
\(520\) −0.514978 + 1.13676i −0.0225833 + 0.0498500i
\(521\) −10.5077 −0.460350 −0.230175 0.973149i \(-0.573930\pi\)
−0.230175 + 0.973149i \(0.573930\pi\)
\(522\) 0.361381 + 0.625931i 0.0158172 + 0.0273962i
\(523\) 28.6129 6.08185i 1.25115 0.265941i 0.465745 0.884919i \(-0.345786\pi\)
0.785408 + 0.618978i \(0.212453\pi\)
\(524\) 5.72316 2.54812i 0.250018 0.111315i
\(525\) −3.84826 + 2.79592i −0.167952 + 0.122024i
\(526\) 6.21101 10.7578i 0.270813 0.469061i
\(527\) 1.81697 + 25.8101i 0.0791485 + 1.12431i
\(528\) 0.874908 0.0380755
\(529\) −3.97865 37.8544i −0.172985 1.64584i
\(530\) 0.0891965 0.848648i 0.00387445 0.0368629i
\(531\) −12.1235 + 2.57693i −0.526116 + 0.111829i
\(532\) 0.741235 0.0321366
\(533\) 1.30880 + 2.99170i 0.0566904 + 0.129585i
\(534\) 0.155614 0.478931i 0.00673408 0.0207254i
\(535\) −1.57755 + 1.75205i −0.0682034 + 0.0757476i
\(536\) −2.09478 + 2.32649i −0.0904809 + 0.100489i
\(537\) −0.835712 7.95127i −0.0360636 0.343123i
\(538\) −0.950772 + 2.92617i −0.0409907 + 0.126156i
\(539\) 0.0368767 + 0.350858i 0.00158839 + 0.0151125i
\(540\) −0.401297 + 0.178669i −0.0172691 + 0.00768868i
\(541\) −2.87062 8.83487i −0.123418 0.379841i 0.870192 0.492713i \(-0.163995\pi\)
−0.993609 + 0.112873i \(0.963995\pi\)
\(542\) −2.81242 + 1.25217i −0.120804 + 0.0537853i
\(543\) −0.472729 + 4.49772i −0.0202867 + 0.193016i
\(544\) −18.1807 + 20.1917i −0.779491 + 0.865713i
\(545\) −0.622191 0.452048i −0.0266517 0.0193636i
\(546\) 2.13655 + 1.25209i 0.0914359 + 0.0535844i
\(547\) 0.499860 1.53841i 0.0213725 0.0657777i −0.939801 0.341721i \(-0.888990\pi\)
0.961174 + 0.275943i \(0.0889902\pi\)
\(548\) −2.74326 1.22138i −0.117186 0.0521747i
\(549\) −5.48752 + 6.09451i −0.234202 + 0.260108i
\(550\) −7.20651 1.53179i −0.307287 0.0653158i
\(551\) −0.0207258 + 0.0637873i −0.000882947 + 0.00271743i
\(552\) 3.57659 6.19483i 0.152230 0.263669i
\(553\) −2.04871 + 3.54847i −0.0871199 + 0.150896i
\(554\) −6.75587 + 20.7924i −0.287029 + 0.883385i
\(555\) −0.367892 + 0.163796i −0.0156161 + 0.00695276i
\(556\) 15.6259 + 6.95712i 0.662688 + 0.295048i
\(557\) 10.5463 + 18.2668i 0.446863 + 0.773989i 0.998180 0.0603069i \(-0.0192079\pi\)
−0.551317 + 0.834296i \(0.685875\pi\)
\(558\) −3.92074 + 10.7879i −0.165978 + 0.456686i
\(559\) 21.8507 29.6682i 0.924185 1.25483i
\(560\) −0.340049 + 0.247060i −0.0143697 + 0.0104402i
\(561\) −0.365103 + 3.47372i −0.0154146 + 0.146661i
\(562\) −9.79919 + 2.08288i −0.413354 + 0.0878610i
\(563\) 23.4235 40.5707i 0.987184 1.70985i 0.355387 0.934719i \(-0.384349\pi\)
0.631797 0.775134i \(-0.282318\pi\)
\(564\) 2.00734 0.0845242
\(565\) −0.679027 0.754136i −0.0285669 0.0317267i
\(566\) −2.85533 0.606918i −0.120018 0.0255107i
\(567\) −6.31128 19.4241i −0.265049 0.815737i
\(568\) 3.02226 + 28.7549i 0.126811 + 1.20653i
\(569\) −27.3210 + 5.80726i −1.14536 + 0.243453i −0.741231 0.671250i \(-0.765758\pi\)
−0.404126 + 0.914703i \(0.632424\pi\)
\(570\) 0.00634750 + 0.00282609i 0.000265867 + 0.000118372i
\(571\) 2.25620 + 1.63922i 0.0944189 + 0.0685994i 0.633993 0.773339i \(-0.281415\pi\)
−0.539574 + 0.841938i \(0.681415\pi\)
\(572\) −2.21619 10.7694i −0.0926637 0.450293i
\(573\) −5.45970 3.96670i −0.228082 0.165711i
\(574\) 0.177918 1.69278i 0.00742615 0.0706551i
\(575\) 26.0440 28.9248i 1.08611 1.20625i
\(576\) −4.91504 + 2.18832i −0.204793 + 0.0911799i
\(577\) −20.2879 + 14.7400i −0.844596 + 0.613635i −0.923651 0.383236i \(-0.874810\pi\)
0.0790551 + 0.996870i \(0.474810\pi\)
\(578\) −2.21160 2.45624i −0.0919906 0.102166i
\(579\) −1.01377 9.64541i −0.0421310 0.400850i
\(580\) −0.0221977 0.0683174i −0.000921708 0.00283673i
\(581\) −14.2976 3.03905i −0.593165 0.126081i
\(582\) −3.32882 + 0.707563i −0.137984 + 0.0293294i
\(583\) 8.82948 + 15.2931i 0.365680 + 0.633376i
\(584\) 16.9401 0.700985
\(585\) 0.831929 + 1.16081i 0.0343960 + 0.0479937i
\(586\) 4.99407 + 3.62840i 0.206303 + 0.149888i
\(587\) −32.0871 14.2861i −1.32438 0.589651i −0.381987 0.924168i \(-0.624760\pi\)
−0.942390 + 0.334517i \(0.891427\pi\)
\(588\) −0.0464762 0.0804991i −0.00191664 0.00331973i
\(589\) −0.987397 + 0.399472i −0.0406850 + 0.0164600i
\(590\) −0.429724 −0.0176915
\(591\) −0.569493 5.41837i −0.0234258 0.222882i
\(592\) 8.47992 3.77550i 0.348523 0.155172i
\(593\) 6.67652 20.5482i 0.274172 0.843814i −0.715266 0.698853i \(-0.753694\pi\)
0.989437 0.144961i \(-0.0463057\pi\)
\(594\) −1.58560 + 2.74634i −0.0650579 + 0.112684i
\(595\) −0.839019 1.45322i −0.0343964 0.0595763i
\(596\) −2.17003 + 0.461254i −0.0888879 + 0.0188937i
\(597\) −1.76085 5.41935i −0.0720670 0.221799i
\(598\) −19.2306 6.38662i −0.786397 0.261168i
\(599\) −9.48801 + 6.89344i −0.387669 + 0.281658i −0.764500 0.644624i \(-0.777014\pi\)
0.376830 + 0.926282i \(0.377014\pi\)
\(600\) 4.45988 0.947976i 0.182074 0.0387009i
\(601\) −5.99881 2.67084i −0.244696 0.108946i 0.280724 0.959788i \(-0.409425\pi\)
−0.525421 + 0.850843i \(0.676092\pi\)
\(602\) −17.5455 + 7.81177i −0.715102 + 0.318384i
\(603\) 1.10708 + 3.40725i 0.0450839 + 0.138754i
\(604\) −30.1362 + 13.4175i −1.22623 + 0.545951i
\(605\) 0.854649 0.380514i 0.0347464 0.0154701i
\(606\) −1.42559 4.38751i −0.0579106 0.178230i
\(607\) 6.79308 3.02447i 0.275723 0.122760i −0.264217 0.964463i \(-0.585114\pi\)
0.539940 + 0.841704i \(0.318447\pi\)
\(608\) −1.02182 0.454943i −0.0414402 0.0184504i
\(609\) −0.327494 + 0.0696110i −0.0132707 + 0.00282078i
\(610\) −0.230032 + 0.167128i −0.00931374 + 0.00676683i
\(611\) −2.69213 13.0822i −0.108912 0.529251i
\(612\) 6.10345 + 18.7845i 0.246717 + 0.759318i
\(613\) −23.1670 + 4.92431i −0.935708 + 0.198891i −0.650441 0.759557i \(-0.725416\pi\)
−0.285267 + 0.958448i \(0.592082\pi\)
\(614\) −9.95538 17.2432i −0.401766 0.695880i
\(615\) −0.0228684 + 0.0396093i −0.000922144 + 0.00159720i
\(616\) −4.15985 + 12.8027i −0.167605 + 0.515836i
\(617\) −17.6159 + 7.84309i −0.709188 + 0.315751i −0.729441 0.684044i \(-0.760220\pi\)
0.0202528 + 0.999795i \(0.493553\pi\)
\(618\) 0.313170 + 2.97961i 0.0125975 + 0.119858i
\(619\) −3.77307 −0.151652 −0.0758262 0.997121i \(-0.524159\pi\)
−0.0758262 + 0.997121i \(0.524159\pi\)
\(620\) 0.604072 0.967726i 0.0242601 0.0388648i
\(621\) −8.37664 14.5088i −0.336143 0.582217i
\(622\) −6.94347 3.09143i −0.278408 0.123955i
\(623\) −4.05040 2.94279i −0.162276 0.117900i
\(624\) 0.893486 + 1.24671i 0.0357681 + 0.0499082i
\(625\) 24.7139 0.988558
\(626\) 2.45521 + 4.25255i 0.0981299 + 0.169966i
\(627\) −0.140646 + 0.0298953i −0.00561688 + 0.00119390i
\(628\) 10.4926 + 2.23028i 0.418701 + 0.0889977i
\(629\) 11.4515 + 35.2440i 0.456601 + 1.40527i
\(630\) −0.0778122 0.740334i −0.00310011 0.0294956i
\(631\) 14.7629 + 16.3958i 0.587700 + 0.652707i 0.961501 0.274802i \(-0.0886123\pi\)
−0.373801 + 0.927509i \(0.621946\pi\)
\(632\) 3.17746 2.30856i 0.126392 0.0918295i
\(633\) 0.150823 0.0671507i 0.00599467 0.00266900i
\(634\) 1.20393 1.33710i 0.0478142 0.0531030i
\(635\) −0.0530994 + 0.505207i −0.00210719 + 0.0200485i
\(636\) −3.76414 2.73481i −0.149258 0.108442i
\(637\) −0.462298 + 0.410856i −0.0183169 + 0.0162787i
\(638\) −0.419538 0.304812i −0.0166097 0.0120676i
\(639\) 30.2272 + 13.4580i 1.19577 + 0.532390i
\(640\) 1.39809 0.297173i 0.0552644 0.0117468i
\(641\) 2.07134 + 19.7075i 0.0818131 + 0.778400i 0.956110 + 0.293008i \(0.0946563\pi\)
−0.874297 + 0.485392i \(0.838677\pi\)
\(642\) −1.38575 4.26491i −0.0546913 0.168322i
\(643\) −43.3664 9.21782i −1.71021 0.363515i −0.754150 0.656702i \(-0.771951\pi\)
−0.956055 + 0.293186i \(0.905284\pi\)
\(644\) −20.2595 22.5004i −0.798335 0.886641i
\(645\) 0.516080 0.0203206
\(646\) 0.319692 0.553723i 0.0125781 0.0217859i
\(647\) 9.14998 1.94489i 0.359723 0.0764614i −0.0245052 0.999700i \(-0.507801\pi\)
0.384228 + 0.923238i \(0.374468\pi\)
\(648\) −2.04636 + 19.4698i −0.0803886 + 0.764846i
\(649\) 7.19448 5.22710i 0.282408 0.205182i
\(650\) −5.17679 11.8333i −0.203051 0.464139i
\(651\) −4.19151 3.27160i −0.164278 0.128224i
\(652\) −2.71696 4.70591i −0.106404 0.184298i
\(653\) −20.9383 9.32233i −0.819378 0.364811i −0.0461470 0.998935i \(-0.514694\pi\)
−0.773231 + 0.634124i \(0.781361\pi\)
\(654\) 1.33637 0.594991i 0.0522562 0.0232660i
\(655\) 0.180417 0.555268i 0.00704949 0.0216961i
\(656\) 0.527118 0.912995i 0.0205805 0.0356464i
\(657\) 9.69292 16.7886i 0.378157 0.654987i
\(658\) −2.15136 + 6.62119i −0.0838686 + 0.258121i
\(659\) −10.0745 2.14140i −0.392447 0.0834172i 0.00746161 0.999972i \(-0.497625\pi\)
−0.399909 + 0.916555i \(0.630958\pi\)
\(660\) 0.103046 0.114445i 0.00401107 0.00445475i
\(661\) 27.2520 + 12.1334i 1.05998 + 0.471933i 0.861282 0.508128i \(-0.169662\pi\)
0.198697 + 0.980061i \(0.436329\pi\)
\(662\) 3.76677 11.5929i 0.146400 0.450572i
\(663\) −5.32275 + 3.02722i −0.206719 + 0.117568i
\(664\) 11.3352 + 8.23550i 0.439891 + 0.319599i
\(665\) 0.0462228 0.0513357i 0.00179245 0.00199071i
\(666\) −1.71840 + 16.3495i −0.0665868 + 0.633531i
\(667\) 2.50276 1.11430i 0.0969074 0.0431459i
\(668\) 9.50220 + 29.2448i 0.367651 + 1.13151i
\(669\) 7.13513 3.17676i 0.275860 0.122821i
\(670\) 0.0129837 + 0.123532i 0.000501604 + 0.00477244i
\(671\) 1.81830 5.59615i 0.0701947 0.216037i
\(672\) −0.583646 5.55302i −0.0225146 0.214212i
\(673\) −5.71342 + 6.34540i −0.220236 + 0.244597i −0.843131 0.537709i \(-0.819290\pi\)
0.622894 + 0.782306i \(0.285957\pi\)
\(674\) −6.30769 + 7.00540i −0.242963 + 0.269838i
\(675\) 3.29991 10.1561i 0.127014 0.390908i
\(676\) 13.0827 14.1561i 0.503182 0.544465i
\(677\) −0.547972 −0.0210603 −0.0105301 0.999945i \(-0.503352\pi\)
−0.0105301 + 0.999945i \(0.503352\pi\)
\(678\) 1.88804 0.401315i 0.0725098 0.0154124i
\(679\) −3.53667 + 33.6491i −0.135725 + 1.29134i
\(680\) 0.168131 + 1.59966i 0.00644753 + 0.0613442i
\(681\) −0.791905 −0.0303459
\(682\) −0.578332 8.21523i −0.0221455 0.314577i
\(683\) −0.589129 + 1.02040i −0.0225424 + 0.0390446i −0.877077 0.480351i \(-0.840509\pi\)
0.854534 + 0.519395i \(0.173843\pi\)
\(684\) −0.657802 + 0.477921i −0.0251517 + 0.0182738i
\(685\) −0.255657 + 0.113826i −0.00976814 + 0.00434906i
\(686\) 13.1835 2.80223i 0.503347 0.106990i
\(687\) 2.86746 + 4.96658i 0.109400 + 0.189487i
\(688\) −11.8957 −0.453517
\(689\) −12.7751 + 28.1995i −0.486691 + 1.07431i
\(690\) −0.0877034 0.269923i −0.00333881 0.0102758i
\(691\) 11.7790 13.0819i 0.448094 0.497659i −0.476201 0.879336i \(-0.657987\pi\)
0.924296 + 0.381677i \(0.124653\pi\)
\(692\) −28.9767 12.9012i −1.10153 0.490432i
\(693\) 10.3080 + 11.4482i 0.391570 + 0.434883i
\(694\) 1.35866 0.987124i 0.0515740 0.0374707i
\(695\) 1.45625 0.648365i 0.0552388 0.0245939i
\(696\) 0.313917 + 0.0667252i 0.0118990 + 0.00252921i
\(697\) 3.40497 + 2.47385i 0.128972 + 0.0937039i
\(698\) −18.1354 + 8.07439i −0.686434 + 0.305620i
\(699\) −1.63993 + 1.82133i −0.0620279 + 0.0688889i
\(700\) 2.01730 19.1934i 0.0762469 0.725441i
\(701\) −25.8504 + 18.7814i −0.976356 + 0.709364i −0.956891 0.290447i \(-0.906196\pi\)
−0.0194644 + 0.999811i \(0.506196\pi\)
\(702\) −5.53268 + 0.545243i −0.208818 + 0.0205789i
\(703\) −1.23419 + 0.896690i −0.0465483 + 0.0338193i
\(704\) 2.58301 2.86872i 0.0973508 0.108119i
\(705\) 0.125176 0.139022i 0.00471441 0.00523588i
\(706\) −3.55175 3.94461i −0.133672 0.148457i
\(707\) −45.8654 −1.72495
\(708\) −1.17153 + 2.02916i −0.0440290 + 0.0762604i
\(709\) 19.1606 + 21.2800i 0.719593 + 0.799189i 0.986365 0.164571i \(-0.0526239\pi\)
−0.266772 + 0.963760i \(0.585957\pi\)
\(710\) 0.928091 + 0.674298i 0.0348306 + 0.0253059i
\(711\) −0.469814 4.46998i −0.0176194 0.167637i
\(712\) 2.39951 + 4.15607i 0.0899253 + 0.155755i
\(713\) 39.1137 + 19.0543i 1.46482 + 0.713591i
\(714\) 3.19178 0.119449
\(715\) −0.884059 0.518088i −0.0330619 0.0193754i
\(716\) 26.2428 + 19.0665i 0.980740 + 0.712549i
\(717\) 5.84810 1.24305i 0.218401 0.0464226i
\(718\) −8.90067 15.4164i −0.332170 0.575335i
\(719\) −14.2805 + 24.7345i −0.532573 + 0.922443i 0.466704 + 0.884414i \(0.345441\pi\)
−0.999277 + 0.0380292i \(0.987892\pi\)
\(720\) 0.142478 0.438502i 0.00530984 0.0163420i
\(721\) 29.1356 + 6.19295i 1.08506 + 0.230638i
\(722\) −13.3405 2.83561i −0.496482 0.105531i
\(723\) −0.977846 + 0.710447i −0.0363665 + 0.0264218i
\(724\) −12.2778 13.6358i −0.456299 0.506772i
\(725\) 1.59529 + 0.710269i 0.0592476 + 0.0263787i
\(726\) −0.186004 + 1.76971i −0.00690327 + 0.0656802i
\(727\) −11.2814 34.7206i −0.418404 1.28771i −0.909171 0.416423i \(-0.863283\pi\)
0.490767 0.871291i \(-0.336717\pi\)
\(728\) −22.4915 + 7.14695i −0.833590 + 0.264884i
\(729\) 16.2232 + 11.7869i 0.600860 + 0.436550i
\(730\) 0.449740 0.499487i 0.0166456 0.0184868i
\(731\) 4.96410 47.2303i 0.183604 1.74687i
\(732\) 0.162054 + 1.54184i 0.00598970 + 0.0569882i
\(733\) 12.4152 38.2102i 0.458567 1.41133i −0.408328 0.912835i \(-0.633888\pi\)
0.866895 0.498490i \(-0.166112\pi\)
\(734\) −2.41156 22.9445i −0.0890124 0.846896i
\(735\) −0.00847334 0.00180106i −0.000312544 6.64332e-5i
\(736\) 14.1185 + 43.4522i 0.520414 + 1.60167i
\(737\) −1.71999 1.91025i −0.0633567 0.0703648i
\(738\) 0.933548 + 1.61695i 0.0343644 + 0.0595209i
\(739\) −2.34170 4.05595i −0.0861409 0.149200i 0.819736 0.572742i \(-0.194120\pi\)
−0.905877 + 0.423541i \(0.860787\pi\)
\(740\) 0.504897 1.55391i 0.0185604 0.0571230i
\(741\) −0.186233 0.169885i −0.00684142 0.00624088i
\(742\) 13.0550 9.48498i 0.479262 0.348205i
\(743\) −9.00953 15.6050i −0.330528 0.572491i 0.652088 0.758143i \(-0.273893\pi\)
−0.982615 + 0.185653i \(0.940560\pi\)
\(744\) 2.39487 + 4.49902i 0.0878003 + 0.164942i
\(745\) −0.103376 + 0.179053i −0.00378742 + 0.00656000i
\(746\) 17.1978 12.4949i 0.629656 0.457472i
\(747\) 14.6477 6.52160i 0.535933 0.238613i
\(748\) −9.48247 10.5314i −0.346714 0.385064i
\(749\) −44.5837 −1.62905
\(750\) 0.181253 0.313939i 0.00661842 0.0114634i
\(751\) −7.94379 + 1.68850i −0.289873 + 0.0616144i −0.350553 0.936543i \(-0.614006\pi\)
0.0606801 + 0.998157i \(0.480673\pi\)
\(752\) −2.88531 + 3.20447i −0.105217 + 0.116855i
\(753\) 1.15509 + 3.55500i 0.0420939 + 0.129552i
\(754\) 0.00589784 0.909107i 0.000214786