Properties

Label 91.2.bb.a.5.2
Level $91$
Weight $2$
Character 91.5
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bb (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 91.5
Dual form 91.2.bb.a.73.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.411280 - 1.53492i) q^{2} +(0.436133 - 0.251802i) q^{3} +(-0.454770 + 0.262561i) q^{4} +(-0.0769162 + 0.0206096i) q^{5} +(-0.565867 - 0.565867i) q^{6} +(1.52171 - 2.16435i) q^{7} +(-1.65723 - 1.65723i) q^{8} +(-1.37319 + 2.37844i) q^{9} +O(q^{10})\) \(q+(-0.411280 - 1.53492i) q^{2} +(0.436133 - 0.251802i) q^{3} +(-0.454770 + 0.262561i) q^{4} +(-0.0769162 + 0.0206096i) q^{5} +(-0.565867 - 0.565867i) q^{6} +(1.52171 - 2.16435i) q^{7} +(-1.65723 - 1.65723i) q^{8} +(-1.37319 + 2.37844i) q^{9} +(0.0632682 + 0.109584i) q^{10} +(-1.09384 + 4.08225i) q^{11} +(-0.132227 + 0.229023i) q^{12} +(0.565867 - 3.56087i) q^{13} +(-3.94794 - 1.44555i) q^{14} +(-0.0283562 + 0.0283562i) q^{15} +(-2.38725 + 4.13483i) q^{16} +(2.90357 + 5.02912i) q^{17} +(4.21547 + 1.12953i) q^{18} +(5.11216 - 1.36980i) q^{19} +(0.0295679 - 0.0295679i) q^{20} +(0.118683 - 1.32711i) q^{21} +6.71579 q^{22} +(0.755405 + 0.436133i) q^{23} +(-1.14006 - 0.305479i) q^{24} +(-4.32464 + 2.49683i) q^{25} +(-5.69837 + 0.595955i) q^{26} +2.89390i q^{27} +(-0.123754 + 1.38382i) q^{28} +0.362759 q^{29} +(0.0551867 + 0.0318621i) q^{30} +(-0.361057 + 1.34748i) q^{31} +(2.80082 + 0.750478i) q^{32} +(0.550859 + 2.05583i) q^{33} +(6.52511 - 6.52511i) q^{34} +(-0.0724379 + 0.197835i) q^{35} -1.44219i q^{36} +(-3.76857 + 1.00978i) q^{37} +(-4.20506 - 7.28338i) q^{38} +(-0.649839 - 1.69550i) q^{39} +(0.161623 + 0.0933128i) q^{40} +(-7.70995 - 7.70995i) q^{41} +(-2.08582 + 0.363646i) q^{42} +2.65570i q^{43} +(-0.574398 - 2.14368i) q^{44} +(0.0566020 - 0.211242i) q^{45} +(0.358745 - 1.33886i) q^{46} +(-0.748829 - 2.79467i) q^{47} +2.40445i q^{48} +(-2.36879 - 6.58702i) q^{49} +(5.61106 + 5.61106i) q^{50} +(2.53268 + 1.46224i) q^{51} +(0.677608 + 1.76795i) q^{52} +(-5.26830 - 9.12497i) q^{53} +(4.44189 - 1.19020i) q^{54} -0.336535i q^{55} +(-6.10864 + 1.06499i) q^{56} +(1.88467 - 1.88467i) q^{57} +(-0.149196 - 0.556806i) q^{58} +(-2.14179 - 0.573890i) q^{59} +(0.00545029 - 0.0203408i) q^{60} +(3.63628 + 2.09941i) q^{61} +2.21677 q^{62} +(3.05816 + 6.59136i) q^{63} +4.94130i q^{64} +(0.0298639 + 0.285551i) q^{65} +(2.92898 - 1.69105i) q^{66} +(9.76951 + 2.61773i) q^{67} +(-2.64091 - 1.52473i) q^{68} +0.439276 q^{69} +(0.333453 + 0.0298205i) q^{70} +(3.65698 - 3.65698i) q^{71} +(6.21730 - 1.66592i) q^{72} +(-11.4948 - 3.08002i) q^{73} +(3.09987 + 5.36914i) q^{74} +(-1.25741 + 2.17790i) q^{75} +(-1.96520 + 1.96520i) q^{76} +(7.17090 + 8.57944i) q^{77} +(-2.33519 + 1.69477i) q^{78} +(-4.27671 + 7.40747i) q^{79} +(0.0984006 - 0.367236i) q^{80} +(-3.39089 - 5.87319i) q^{81} +(-8.66319 + 15.0051i) q^{82} +(4.91372 + 4.91372i) q^{83} +(0.294475 + 0.634692i) q^{84} +(-0.326980 - 0.326980i) q^{85} +(4.07628 - 1.09224i) q^{86} +(0.158211 - 0.0913434i) q^{87} +(8.57795 - 4.95248i) q^{88} +(-2.08520 - 7.78209i) q^{89} -0.347518 q^{90} +(-6.84587 - 6.64335i) q^{91} -0.458047 q^{92} +(0.181829 + 0.678596i) q^{93} +(-3.98161 + 2.29878i) q^{94} +(-0.364977 + 0.210720i) q^{95} +(1.41050 - 0.377943i) q^{96} +(6.04128 + 6.04128i) q^{97} +(-9.13630 + 6.34501i) q^{98} +(-8.20733 - 8.20733i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 2q^{2} - 12q^{3} - 6q^{5} - 6q^{7} - 16q^{8} + 8q^{9} - 10q^{11} + 28q^{14} - 44q^{15} + 12q^{16} - 4q^{18} + 12q^{19} - 26q^{21} - 8q^{22} - 12q^{24} + 24q^{26} - 6q^{28} + 16q^{29} + 24q^{31} + 4q^{32} + 48q^{33} + 28q^{35} - 8q^{37} - 6q^{39} - 132q^{40} - 16q^{42} - 42q^{44} - 24q^{45} + 12q^{46} + 30q^{47} + 88q^{50} + 36q^{52} - 12q^{53} + 78q^{54} + 40q^{57} + 26q^{58} - 54q^{59} + 16q^{60} - 48q^{61} + 24q^{63} - 8q^{65} + 12q^{66} + 16q^{67} - 48q^{68} + 50q^{70} - 36q^{71} + 22q^{72} + 66q^{73} + 12q^{74} - 176q^{78} - 32q^{79} + 138q^{80} + 16q^{81} - 58q^{84} - 84q^{85} + 42q^{86} - 24q^{87} - 60q^{89} + 48q^{92} + 6q^{93} - 72q^{94} - 42q^{96} - 86q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.411280 1.53492i −0.290819 1.08535i −0.944482 0.328565i \(-0.893435\pi\)
0.653663 0.756786i \(-0.273232\pi\)
\(3\) 0.436133 0.251802i 0.251802 0.145378i −0.368787 0.929514i \(-0.620227\pi\)
0.620589 + 0.784136i \(0.286894\pi\)
\(4\) −0.454770 + 0.262561i −0.227385 + 0.131281i
\(5\) −0.0769162 + 0.0206096i −0.0343980 + 0.00921691i −0.275977 0.961164i \(-0.589001\pi\)
0.241579 + 0.970381i \(0.422335\pi\)
\(6\) −0.565867 0.565867i −0.231014 0.231014i
\(7\) 1.52171 2.16435i 0.575153 0.818046i
\(8\) −1.65723 1.65723i −0.585918 0.585918i
\(9\) −1.37319 + 2.37844i −0.457731 + 0.792813i
\(10\) 0.0632682 + 0.109584i 0.0200072 + 0.0346534i
\(11\) −1.09384 + 4.08225i −0.329804 + 1.23084i 0.579590 + 0.814908i \(0.303213\pi\)
−0.909394 + 0.415936i \(0.863454\pi\)
\(12\) −0.132227 + 0.229023i −0.0381706 + 0.0661134i
\(13\) 0.565867 3.56087i 0.156943 0.987608i
\(14\) −3.94794 1.44555i −1.05513 0.386339i
\(15\) −0.0283562 + 0.0283562i −0.00732153 + 0.00732153i
\(16\) −2.38725 + 4.13483i −0.596811 + 1.03371i
\(17\) 2.90357 + 5.02912i 0.704218 + 1.21974i 0.966973 + 0.254879i \(0.0820357\pi\)
−0.262755 + 0.964863i \(0.584631\pi\)
\(18\) 4.21547 + 1.12953i 0.993596 + 0.266233i
\(19\) 5.11216 1.36980i 1.17281 0.314254i 0.380740 0.924682i \(-0.375669\pi\)
0.792071 + 0.610429i \(0.209003\pi\)
\(20\) 0.0295679 0.0295679i 0.00661158 0.00661158i
\(21\) 0.118683 1.32711i 0.0258987 0.289600i
\(22\) 6.71579 1.43181
\(23\) 0.755405 + 0.436133i 0.157513 + 0.0909400i 0.576685 0.816967i \(-0.304346\pi\)
−0.419172 + 0.907907i \(0.637680\pi\)
\(24\) −1.14006 0.305479i −0.232715 0.0623557i
\(25\) −4.32464 + 2.49683i −0.864927 + 0.499366i
\(26\) −5.69837 + 0.595955i −1.11754 + 0.116876i
\(27\) 2.89390i 0.556931i
\(28\) −0.123754 + 1.38382i −0.0233873 + 0.261518i
\(29\) 0.362759 0.0673627 0.0336814 0.999433i \(-0.489277\pi\)
0.0336814 + 0.999433i \(0.489277\pi\)
\(30\) 0.0551867 + 0.0318621i 0.0100757 + 0.00581719i
\(31\) −0.361057 + 1.34748i −0.0648477 + 0.242015i −0.990740 0.135773i \(-0.956648\pi\)
0.925892 + 0.377787i \(0.123315\pi\)
\(32\) 2.80082 + 0.750478i 0.495120 + 0.132667i
\(33\) 0.550859 + 2.05583i 0.0958922 + 0.357875i
\(34\) 6.52511 6.52511i 1.11905 1.11905i
\(35\) −0.0724379 + 0.197835i −0.0122442 + 0.0334403i
\(36\) 1.44219i 0.240365i
\(37\) −3.76857 + 1.00978i −0.619549 + 0.166008i −0.554923 0.831902i \(-0.687252\pi\)
−0.0646262 + 0.997910i \(0.520586\pi\)
\(38\) −4.20506 7.28338i −0.682151 1.18152i
\(39\) −0.649839 1.69550i −0.104058 0.271497i
\(40\) 0.161623 + 0.0933128i 0.0255548 + 0.0147541i
\(41\) −7.70995 7.70995i −1.20409 1.20409i −0.972911 0.231182i \(-0.925741\pi\)
−0.231182 0.972911i \(-0.574259\pi\)
\(42\) −2.08582 + 0.363646i −0.321849 + 0.0561119i
\(43\) 2.65570i 0.404990i 0.979283 + 0.202495i \(0.0649050\pi\)
−0.979283 + 0.202495i \(0.935095\pi\)
\(44\) −0.574398 2.14368i −0.0865938 0.323172i
\(45\) 0.0566020 0.211242i 0.00843773 0.0314900i
\(46\) 0.358745 1.33886i 0.0528941 0.197404i
\(47\) −0.748829 2.79467i −0.109228 0.407644i 0.889563 0.456813i \(-0.151009\pi\)
−0.998790 + 0.0491692i \(0.984343\pi\)
\(48\) 2.40445i 0.347052i
\(49\) −2.36879 6.58702i −0.338399 0.941003i
\(50\) 5.61106 + 5.61106i 0.793524 + 0.793524i
\(51\) 2.53268 + 1.46224i 0.354646 + 0.204755i
\(52\) 0.677608 + 1.76795i 0.0939673 + 0.245171i
\(53\) −5.26830 9.12497i −0.723657 1.25341i −0.959524 0.281625i \(-0.909127\pi\)
0.235868 0.971785i \(-0.424207\pi\)
\(54\) 4.44189 1.19020i 0.604465 0.161966i
\(55\) 0.336535i 0.0453784i
\(56\) −6.10864 + 1.06499i −0.816301 + 0.142316i
\(57\) 1.88467 1.88467i 0.249630 0.249630i
\(58\) −0.149196 0.556806i −0.0195903 0.0731122i
\(59\) −2.14179 0.573890i −0.278837 0.0747142i 0.116690 0.993168i \(-0.462772\pi\)
−0.395527 + 0.918454i \(0.629438\pi\)
\(60\) 0.00545029 0.0203408i 0.000703630 0.00262598i
\(61\) 3.63628 + 2.09941i 0.465578 + 0.268802i 0.714387 0.699751i \(-0.246706\pi\)
−0.248809 + 0.968553i \(0.580039\pi\)
\(62\) 2.21677 0.281530
\(63\) 3.05816 + 6.59136i 0.385292 + 0.830433i
\(64\) 4.94130i 0.617662i
\(65\) 0.0298639 + 0.285551i 0.00370416 + 0.0354182i
\(66\) 2.92898 1.69105i 0.360532 0.208153i
\(67\) 9.76951 + 2.61773i 1.19354 + 0.319807i 0.800282 0.599623i \(-0.204683\pi\)
0.393253 + 0.919430i \(0.371350\pi\)
\(68\) −2.64091 1.52473i −0.320257 0.184901i
\(69\) 0.439276 0.0528826
\(70\) 0.333453 + 0.0298205i 0.0398553 + 0.00356423i
\(71\) 3.65698 3.65698i 0.434004 0.434004i −0.455984 0.889988i \(-0.650713\pi\)
0.889988 + 0.455984i \(0.150713\pi\)
\(72\) 6.21730 1.66592i 0.732716 0.196331i
\(73\) −11.4948 3.08002i −1.34536 0.360489i −0.486942 0.873434i \(-0.661888\pi\)
−0.858421 + 0.512945i \(0.828554\pi\)
\(74\) 3.09987 + 5.36914i 0.360353 + 0.624150i
\(75\) −1.25741 + 2.17790i −0.145193 + 0.251482i
\(76\) −1.96520 + 1.96520i −0.225424 + 0.225424i
\(77\) 7.17090 + 8.57944i 0.817200 + 0.977718i
\(78\) −2.33519 + 1.69477i −0.264408 + 0.191895i
\(79\) −4.27671 + 7.40747i −0.481167 + 0.833406i −0.999766 0.0216116i \(-0.993120\pi\)
0.518599 + 0.855017i \(0.326454\pi\)
\(80\) 0.0984006 0.367236i 0.0110015 0.0410582i
\(81\) −3.39089 5.87319i −0.376765 0.652577i
\(82\) −8.66319 + 15.0051i −0.956690 + 1.65703i
\(83\) 4.91372 + 4.91372i 0.539351 + 0.539351i 0.923338 0.383987i \(-0.125449\pi\)
−0.383987 + 0.923338i \(0.625449\pi\)
\(84\) 0.294475 + 0.634692i 0.0321299 + 0.0692506i
\(85\) −0.326980 0.326980i −0.0354659 0.0354659i
\(86\) 4.07628 1.09224i 0.439557 0.117779i
\(87\) 0.158211 0.0913434i 0.0169620 0.00979304i
\(88\) 8.57795 4.95248i 0.914413 0.527936i
\(89\) −2.08520 7.78209i −0.221031 0.824899i −0.983956 0.178412i \(-0.942904\pi\)
0.762925 0.646487i \(-0.223763\pi\)
\(90\) −0.347518 −0.0366316
\(91\) −6.84587 6.64335i −0.717642 0.696412i
\(92\) −0.458047 −0.0477547
\(93\) 0.181829 + 0.678596i 0.0188548 + 0.0703671i
\(94\) −3.98161 + 2.29878i −0.410671 + 0.237101i
\(95\) −0.364977 + 0.210720i −0.0374459 + 0.0216194i
\(96\) 1.41050 0.377943i 0.143959 0.0385736i
\(97\) 6.04128 + 6.04128i 0.613399 + 0.613399i 0.943830 0.330431i \(-0.107194\pi\)
−0.330431 + 0.943830i \(0.607194\pi\)
\(98\) −9.13630 + 6.34501i −0.922905 + 0.640943i
\(99\) −8.20733 8.20733i −0.824868 0.824868i
\(100\) 1.31114 2.27096i 0.131114 0.227096i
\(101\) 5.60987 + 9.71658i 0.558203 + 0.966836i 0.997647 + 0.0685657i \(0.0218423\pi\)
−0.439444 + 0.898270i \(0.644824\pi\)
\(102\) 1.20278 4.48885i 0.119093 0.444462i
\(103\) 4.82752 8.36150i 0.475669 0.823883i −0.523942 0.851754i \(-0.675539\pi\)
0.999612 + 0.0278704i \(0.00887259\pi\)
\(104\) −6.83894 + 4.96340i −0.670613 + 0.486701i
\(105\) 0.0182227 + 0.104522i 0.00177835 + 0.0102003i
\(106\) −11.8393 + 11.8393i −1.14994 + 1.14994i
\(107\) 8.81408 15.2664i 0.852089 1.47586i −0.0272305 0.999629i \(-0.508669\pi\)
0.879319 0.476232i \(-0.157998\pi\)
\(108\) −0.759825 1.31606i −0.0731142 0.126638i
\(109\) −13.1784 3.53114i −1.26226 0.338222i −0.435199 0.900334i \(-0.643322\pi\)
−0.827061 + 0.562113i \(0.809989\pi\)
\(110\) −0.516553 + 0.138410i −0.0492514 + 0.0131969i
\(111\) −1.38933 + 1.38933i −0.131870 + 0.131870i
\(112\) 5.31651 + 11.4588i 0.502363 + 1.08276i
\(113\) −6.02917 −0.567176 −0.283588 0.958946i \(-0.591525\pi\)
−0.283588 + 0.958946i \(0.591525\pi\)
\(114\) −3.66793 2.11768i −0.343533 0.198339i
\(115\) −0.0670914 0.0179771i −0.00625631 0.00167637i
\(116\) −0.164972 + 0.0952466i −0.0153173 + 0.00884343i
\(117\) 7.69226 + 6.23564i 0.711150 + 0.576485i
\(118\) 3.52350i 0.324364i
\(119\) 15.3032 + 1.36855i 1.40284 + 0.125455i
\(120\) 0.0939853 0.00857964
\(121\) −5.94201 3.43062i −0.540183 0.311875i
\(122\) 1.72689 6.44484i 0.156345 0.583488i
\(123\) −5.30394 1.42119i −0.478240 0.128144i
\(124\) −0.189599 0.707593i −0.0170265 0.0635438i
\(125\) 0.562709 0.562709i 0.0503302 0.0503302i
\(126\) 8.85943 7.40492i 0.789261 0.659683i
\(127\) 0.259825i 0.0230558i −0.999934 0.0115279i \(-0.996330\pi\)
0.999934 0.0115279i \(-0.00366952\pi\)
\(128\) 13.1861 3.53321i 1.16550 0.312295i
\(129\) 0.668709 + 1.15824i 0.0588766 + 0.101977i
\(130\) 0.426015 0.163280i 0.0373640 0.0143206i
\(131\) 0.679285 + 0.392185i 0.0593494 + 0.0342654i 0.529381 0.848384i \(-0.322424\pi\)
−0.470032 + 0.882650i \(0.655758\pi\)
\(132\) −0.790296 0.790296i −0.0687865 0.0687865i
\(133\) 4.81451 13.1489i 0.417471 1.14016i
\(134\) 16.0720i 1.38841i
\(135\) −0.0596422 0.222588i −0.00513318 0.0191573i
\(136\) 3.52253 13.1463i 0.302055 1.12728i
\(137\) −3.57044 + 13.3251i −0.305044 + 1.13844i 0.627864 + 0.778323i \(0.283929\pi\)
−0.932908 + 0.360115i \(0.882737\pi\)
\(138\) −0.180665 0.674252i −0.0153793 0.0573962i
\(139\) 3.12982i 0.265468i −0.991152 0.132734i \(-0.957624\pi\)
0.991152 0.132734i \(-0.0423755\pi\)
\(140\) −0.0190014 0.108989i −0.00160591 0.00921124i
\(141\) −1.03029 1.03029i −0.0867661 0.0867661i
\(142\) −7.11720 4.10912i −0.597262 0.344830i
\(143\) 13.9174 + 6.20502i 1.16383 + 0.518890i
\(144\) −6.55629 11.3558i −0.546358 0.946319i
\(145\) −0.0279021 + 0.00747634i −0.00231714 + 0.000620876i
\(146\) 18.9103i 1.56503i
\(147\) −2.69173 2.27635i −0.222010 0.187750i
\(148\) 1.44870 1.44870i 0.119082 0.119082i
\(149\) 0.876694 + 3.27187i 0.0718216 + 0.268042i 0.992494 0.122295i \(-0.0390253\pi\)
−0.920672 + 0.390337i \(0.872359\pi\)
\(150\) 3.86004 + 1.03430i 0.315171 + 0.0844499i
\(151\) −4.21062 + 15.7142i −0.342655 + 1.27881i 0.552673 + 0.833398i \(0.313608\pi\)
−0.895328 + 0.445408i \(0.853059\pi\)
\(152\) −10.7421 6.20195i −0.871299 0.503044i
\(153\) −15.9486 −1.28937
\(154\) 10.2195 14.5353i 0.823510 1.17129i
\(155\) 0.111084i 0.00892252i
\(156\) 0.740700 + 0.600439i 0.0593034 + 0.0480736i
\(157\) 16.6451 9.61006i 1.32842 0.766966i 0.343368 0.939201i \(-0.388432\pi\)
0.985056 + 0.172235i \(0.0550988\pi\)
\(158\) 13.1288 + 3.51785i 1.04447 + 0.279865i
\(159\) −4.59536 2.65313i −0.364436 0.210407i
\(160\) −0.230896 −0.0182539
\(161\) 2.09345 0.971289i 0.164987 0.0765483i
\(162\) −7.62026 + 7.62026i −0.598704 + 0.598704i
\(163\) −1.20004 + 0.321549i −0.0939942 + 0.0251857i −0.305510 0.952189i \(-0.598827\pi\)
0.211515 + 0.977375i \(0.432160\pi\)
\(164\) 5.53059 + 1.48192i 0.431866 + 0.115718i
\(165\) −0.0847400 0.146774i −0.00659700 0.0114263i
\(166\) 5.52124 9.56307i 0.428532 0.742239i
\(167\) −7.31443 + 7.31443i −0.566007 + 0.566007i −0.931007 0.365000i \(-0.881069\pi\)
0.365000 + 0.931007i \(0.381069\pi\)
\(168\) −2.39601 + 2.00264i −0.184856 + 0.154507i
\(169\) −12.3596 4.02996i −0.950738 0.309997i
\(170\) −0.367407 + 0.636367i −0.0281788 + 0.0488071i
\(171\) −3.76200 + 14.0400i −0.287687 + 1.07366i
\(172\) −0.697284 1.20773i −0.0531674 0.0920887i
\(173\) 1.58153 2.73929i 0.120241 0.208264i −0.799621 0.600504i \(-0.794966\pi\)
0.919863 + 0.392240i \(0.128300\pi\)
\(174\) −0.205274 0.205274i −0.0155618 0.0155618i
\(175\) −1.17684 + 13.1595i −0.0889608 + 0.994762i
\(176\) −14.2682 14.2682i −1.07550 1.07550i
\(177\) −1.07861 + 0.289013i −0.0810734 + 0.0217235i
\(178\) −11.0873 + 6.40123i −0.831025 + 0.479793i
\(179\) −5.02551 + 2.90148i −0.375624 + 0.216867i −0.675913 0.736982i \(-0.736250\pi\)
0.300289 + 0.953848i \(0.402917\pi\)
\(180\) 0.0297230 + 0.110928i 0.00221542 + 0.00826807i
\(181\) 13.7005 1.01835 0.509176 0.860662i \(-0.329950\pi\)
0.509176 + 0.860662i \(0.329950\pi\)
\(182\) −7.38142 + 13.2401i −0.547147 + 0.981423i
\(183\) 2.11454 0.156311
\(184\) −0.529106 1.97465i −0.0390062 0.145573i
\(185\) 0.269053 0.155338i 0.0197812 0.0114207i
\(186\) 0.966806 0.558186i 0.0708896 0.0409282i
\(187\) −23.7062 + 6.35205i −1.73357 + 0.464508i
\(188\) 1.07432 + 1.07432i 0.0783526 + 0.0783526i
\(189\) 6.26339 + 4.40367i 0.455595 + 0.320320i
\(190\) 0.473545 + 0.473545i 0.0343546 + 0.0343546i
\(191\) 4.22861 7.32417i 0.305972 0.529958i −0.671506 0.740999i \(-0.734352\pi\)
0.977477 + 0.211041i \(0.0676854\pi\)
\(192\) 1.24423 + 2.15506i 0.0897943 + 0.155528i
\(193\) 0.127796 0.476941i 0.00919896 0.0343310i −0.961174 0.275944i \(-0.911010\pi\)
0.970373 + 0.241613i \(0.0776763\pi\)
\(194\) 6.78820 11.7575i 0.487365 0.844140i
\(195\) 0.0849268 + 0.117018i 0.00608173 + 0.00837987i
\(196\) 2.80675 + 2.37362i 0.200482 + 0.169545i
\(197\) −2.77899 + 2.77899i −0.197995 + 0.197995i −0.799140 0.601145i \(-0.794711\pi\)
0.601145 + 0.799140i \(0.294711\pi\)
\(198\) −9.22207 + 15.9731i −0.655384 + 1.13516i
\(199\) 8.03206 + 13.9119i 0.569377 + 0.986191i 0.996628 + 0.0820571i \(0.0261490\pi\)
−0.427250 + 0.904133i \(0.640518\pi\)
\(200\) 11.3047 + 3.02909i 0.799364 + 0.214189i
\(201\) 4.91995 1.31830i 0.347027 0.0929856i
\(202\) 12.6069 12.6069i 0.887020 0.887020i
\(203\) 0.552015 0.785137i 0.0387439 0.0551058i
\(204\) −1.53572 −0.107522
\(205\) 0.751920 + 0.434121i 0.0525164 + 0.0303203i
\(206\) −14.8197 3.97092i −1.03254 0.276667i
\(207\) −2.07463 + 1.19779i −0.144197 + 0.0832521i
\(208\) 13.3727 + 10.8404i 0.927232 + 0.751649i
\(209\) 22.3675i 1.54719i
\(210\) 0.152939 0.0709583i 0.0105538 0.00489659i
\(211\) 21.0547 1.44947 0.724734 0.689029i \(-0.241963\pi\)
0.724734 + 0.689029i \(0.241963\pi\)
\(212\) 4.79173 + 2.76651i 0.329097 + 0.190004i
\(213\) 0.674096 2.51576i 0.0461883 0.172377i
\(214\) −27.0578 7.25011i −1.84963 0.495607i
\(215\) −0.0547330 0.204266i −0.00373276 0.0139309i
\(216\) 4.79584 4.79584i 0.326316 0.326316i
\(217\) 2.36699 + 2.83193i 0.160682 + 0.192244i
\(218\) 21.6800i 1.46836i
\(219\) −5.78881 + 1.55111i −0.391172 + 0.104814i
\(220\) 0.0883611 + 0.153046i 0.00595730 + 0.0103183i
\(221\) 19.5511 7.49340i 1.31515 0.504061i
\(222\) 2.70391 + 1.56111i 0.181475 + 0.104775i
\(223\) −19.3108 19.3108i −1.29314 1.29314i −0.932832 0.360311i \(-0.882670\pi\)
−0.360311 0.932832i \(-0.617330\pi\)
\(224\) 5.88633 4.91994i 0.393297 0.328727i
\(225\) 13.7145i 0.914300i
\(226\) 2.47968 + 9.25428i 0.164946 + 0.615585i
\(227\) 0.897156 3.34823i 0.0595463 0.222230i −0.929740 0.368216i \(-0.879969\pi\)
0.989287 + 0.145986i \(0.0466354\pi\)
\(228\) −0.362248 + 1.35193i −0.0239905 + 0.0895337i
\(229\) 4.98883 + 18.6186i 0.329671 + 1.23035i 0.909532 + 0.415633i \(0.136440\pi\)
−0.579861 + 0.814715i \(0.696893\pi\)
\(230\) 0.110373i 0.00727781i
\(231\) 5.28778 + 1.93613i 0.347911 + 0.127388i
\(232\) −0.601175 0.601175i −0.0394691 0.0394691i
\(233\) 4.47705 + 2.58482i 0.293301 + 0.169337i 0.639430 0.768850i \(-0.279171\pi\)
−0.346129 + 0.938187i \(0.612504\pi\)
\(234\) 6.40752 14.3716i 0.418872 0.939500i
\(235\) 0.115194 + 0.199522i 0.00751444 + 0.0130154i
\(236\) 1.12470 0.301363i 0.0732119 0.0196171i
\(237\) 4.30752i 0.279804i
\(238\) −4.19327 24.0519i −0.271809 1.55906i
\(239\) 6.85569 6.85569i 0.443458 0.443458i −0.449715 0.893172i \(-0.648474\pi\)
0.893172 + 0.449715i \(0.148474\pi\)
\(240\) −0.0495548 0.184941i −0.00319875 0.0119379i
\(241\) −2.15968 0.578684i −0.139117 0.0372763i 0.188589 0.982056i \(-0.439609\pi\)
−0.327706 + 0.944780i \(0.606275\pi\)
\(242\) −2.82189 + 10.5314i −0.181398 + 0.676986i
\(243\) −10.4763 6.04851i −0.672056 0.388012i
\(244\) −2.20490 −0.141154
\(245\) 0.317955 + 0.457829i 0.0203134 + 0.0292496i
\(246\) 8.72562i 0.556325i
\(247\) −1.98487 18.9789i −0.126295 1.20760i
\(248\) 2.83144 1.63473i 0.179796 0.103805i
\(249\) 3.38032 + 0.905754i 0.214219 + 0.0573998i
\(250\) −1.09514 0.632281i −0.0692629 0.0399890i
\(251\) 24.8342 1.56752 0.783759 0.621064i \(-0.213300\pi\)
0.783759 + 0.621064i \(0.213300\pi\)
\(252\) −3.12140 2.19459i −0.196629 0.138246i
\(253\) −2.60669 + 2.60669i −0.163881 + 0.163881i
\(254\) −0.398810 + 0.106861i −0.0250236 + 0.00670505i
\(255\) −0.224941 0.0602727i −0.0140863 0.00377442i
\(256\) −5.90508 10.2279i −0.369067 0.639244i
\(257\) −6.67557 + 11.5624i −0.416411 + 0.721244i −0.995575 0.0939662i \(-0.970045\pi\)
0.579165 + 0.815210i \(0.303379\pi\)
\(258\) 1.50277 1.50277i 0.0935586 0.0935586i
\(259\) −3.54915 + 9.69309i −0.220533 + 0.602299i
\(260\) −0.0885559 0.122019i −0.00549200 0.00756729i
\(261\) −0.498138 + 0.862801i −0.0308340 + 0.0534060i
\(262\) 0.322596 1.20394i 0.0199300 0.0743799i
\(263\) 0.211897 + 0.367017i 0.0130662 + 0.0226312i 0.872485 0.488642i \(-0.162507\pi\)
−0.859418 + 0.511273i \(0.829174\pi\)
\(264\) 2.49409 4.31988i 0.153500 0.265870i
\(265\) 0.593280 + 0.593280i 0.0364449 + 0.0364449i
\(266\) −22.1626 1.98199i −1.35888 0.121524i
\(267\) −2.86897 2.86897i −0.175578 0.175578i
\(268\) −5.13019 + 1.37463i −0.313376 + 0.0839689i
\(269\) −12.5697 + 7.25714i −0.766390 + 0.442476i −0.831585 0.555397i \(-0.812566\pi\)
0.0651951 + 0.997873i \(0.479233\pi\)
\(270\) −0.317124 + 0.183092i −0.0192996 + 0.0111426i
\(271\) −5.12023 19.1090i −0.311032 1.16079i −0.927628 0.373506i \(-0.878155\pi\)
0.616596 0.787280i \(-0.288511\pi\)
\(272\) −27.7261 −1.68114
\(273\) −4.65851 1.17358i −0.281946 0.0710285i
\(274\) 21.9213 1.32432
\(275\) −5.46224 20.3854i −0.329386 1.22928i
\(276\) −0.199769 + 0.115337i −0.0120247 + 0.00694246i
\(277\) 20.5717 11.8771i 1.23603 0.713623i 0.267751 0.963488i \(-0.413719\pi\)
0.968281 + 0.249865i \(0.0803861\pi\)
\(278\) −4.80401 + 1.28723i −0.288125 + 0.0772030i
\(279\) −2.70910 2.70910i −0.162190 0.162190i
\(280\) 0.447904 0.207812i 0.0267674 0.0124191i
\(281\) 9.66092 + 9.66092i 0.576322 + 0.576322i 0.933888 0.357566i \(-0.116393\pi\)
−0.357566 + 0.933888i \(0.616393\pi\)
\(282\) −1.15767 + 2.00515i −0.0689384 + 0.119405i
\(283\) −13.3825 23.1791i −0.795506 1.37786i −0.922517 0.385956i \(-0.873872\pi\)
0.127011 0.991901i \(-0.459462\pi\)
\(284\) −0.702902 + 2.62326i −0.0417095 + 0.155662i
\(285\) −0.106119 + 0.183804i −0.00628595 + 0.0108876i
\(286\) 3.80025 23.9141i 0.224713 1.41407i
\(287\) −28.4193 + 4.95469i −1.67754 + 0.292466i
\(288\) −5.63103 + 5.63103i −0.331812 + 0.331812i
\(289\) −8.36139 + 14.4824i −0.491847 + 0.851903i
\(290\) 0.0229511 + 0.0397525i 0.00134774 + 0.00233435i
\(291\) 4.15600 + 1.11360i 0.243629 + 0.0652802i
\(292\) 6.03618 1.61739i 0.353241 0.0946505i
\(293\) 21.8755 21.8755i 1.27798 1.27798i 0.336181 0.941797i \(-0.390864\pi\)
0.941797 0.336181i \(-0.109136\pi\)
\(294\) −2.38696 + 5.06780i −0.139210 + 0.295560i
\(295\) 0.176566 0.0102801
\(296\) 7.91882 + 4.57193i 0.460272 + 0.265738i
\(297\) −11.8136 3.16545i −0.685495 0.183678i
\(298\) 4.66148 2.69131i 0.270032 0.155903i
\(299\) 1.98047 2.44310i 0.114534 0.141288i
\(300\) 1.32059i 0.0762443i
\(301\) 5.74785 + 4.04121i 0.331301 + 0.232931i
\(302\) 25.8518 1.48760
\(303\) 4.89330 + 2.82515i 0.281113 + 0.162300i
\(304\) −6.54010 + 24.4080i −0.375100 + 1.39989i
\(305\) −0.322957 0.0865362i −0.0184925 0.00495505i
\(306\) 6.55934 + 24.4798i 0.374973 + 1.39942i
\(307\) 2.49534 2.49534i 0.142417 0.142417i −0.632304 0.774720i \(-0.717891\pi\)
0.774720 + 0.632304i \(0.217891\pi\)
\(308\) −5.51374 2.01887i −0.314174 0.115036i
\(309\) 4.86230i 0.276607i
\(310\) −0.170505 + 0.0456868i −0.00968406 + 0.00259484i
\(311\) −15.1553 26.2497i −0.859378 1.48849i −0.872523 0.488572i \(-0.837518\pi\)
0.0131458 0.999914i \(-0.495815\pi\)
\(312\) −1.73290 + 3.88676i −0.0981060 + 0.220044i
\(313\) 16.8628 + 9.73575i 0.953143 + 0.550297i 0.894056 0.447956i \(-0.147848\pi\)
0.0590869 + 0.998253i \(0.481181\pi\)
\(314\) −21.5964 21.5964i −1.21876 1.21876i
\(315\) −0.371068 0.443955i −0.0209073 0.0250140i
\(316\) 4.49159i 0.252672i
\(317\) −1.29749 4.84229i −0.0728741 0.271970i 0.919869 0.392226i \(-0.128295\pi\)
−0.992743 + 0.120256i \(0.961628\pi\)
\(318\) −2.18236 + 8.14468i −0.122381 + 0.456731i
\(319\) −0.396799 + 1.48087i −0.0222165 + 0.0829131i
\(320\) −0.101838 0.380066i −0.00569294 0.0212463i
\(321\) 8.87759i 0.495499i
\(322\) −2.35184 2.81380i −0.131063 0.156807i
\(323\) 21.7324 + 21.7324i 1.20922 + 1.20922i
\(324\) 3.08415 + 1.78063i 0.171341 + 0.0989240i
\(325\) 6.44372 + 16.8123i 0.357433 + 0.932581i
\(326\) 0.987103 + 1.70971i 0.0546706 + 0.0946922i
\(327\) −6.63667 + 1.77829i −0.367009 + 0.0983397i
\(328\) 25.5543i 1.41100i
\(329\) −7.18813 2.63195i −0.396294 0.145104i
\(330\) −0.190434 + 0.190434i −0.0104831 + 0.0104831i
\(331\) 4.96381 + 18.5252i 0.272835 + 1.01824i 0.957278 + 0.289169i \(0.0933789\pi\)
−0.684443 + 0.729067i \(0.739954\pi\)
\(332\) −3.52477 0.944458i −0.193447 0.0518339i
\(333\) 2.77326 10.3499i 0.151974 0.567173i
\(334\) 14.2353 + 8.21877i 0.778922 + 0.449711i
\(335\) −0.805384 −0.0440029
\(336\) 5.20406 + 3.65888i 0.283905 + 0.199608i
\(337\) 3.01241i 0.164097i 0.996628 + 0.0820483i \(0.0261462\pi\)
−0.996628 + 0.0820483i \(0.973854\pi\)
\(338\) −1.10241 + 20.6284i −0.0599629 + 1.12204i
\(339\) −2.62952 + 1.51815i −0.142816 + 0.0824548i
\(340\) 0.234553 + 0.0628482i 0.0127204 + 0.00340842i
\(341\) −5.10582 2.94785i −0.276496 0.159635i
\(342\) 23.0974 1.24897
\(343\) −17.8612 4.89665i −0.964415 0.264394i
\(344\) 4.40110 4.40110i 0.237291 0.237291i
\(345\) −0.0337874 + 0.00905332i −0.00181905 + 0.000487414i
\(346\) −4.85503 1.30090i −0.261008 0.0699369i
\(347\) 4.11910 + 7.13449i 0.221125 + 0.382999i 0.955150 0.296123i \(-0.0956939\pi\)
−0.734025 + 0.679122i \(0.762361\pi\)
\(348\) −0.0479665 + 0.0830804i −0.00257127 + 0.00445358i
\(349\) −8.06122 + 8.06122i −0.431507 + 0.431507i −0.889141 0.457634i \(-0.848697\pi\)
0.457634 + 0.889141i \(0.348697\pi\)
\(350\) 20.6827 3.60587i 1.10554 0.192742i
\(351\) 10.3048 + 1.63756i 0.550029 + 0.0874066i
\(352\) −6.12728 + 10.6128i −0.326585 + 0.565662i
\(353\) 4.37468 16.3265i 0.232841 0.868974i −0.746270 0.665644i \(-0.768157\pi\)
0.979110 0.203330i \(-0.0651763\pi\)
\(354\) 0.887222 + 1.53671i 0.0471553 + 0.0816754i
\(355\) −0.205912 + 0.356650i −0.0109287 + 0.0189290i
\(356\) 2.99156 + 2.99156i 0.158553 + 0.158553i
\(357\) 7.01881 3.25649i 0.371475 0.172352i
\(358\) 6.52042 + 6.52042i 0.344615 + 0.344615i
\(359\) 21.8195 5.84652i 1.15159 0.308568i 0.367988 0.929831i \(-0.380047\pi\)
0.783602 + 0.621263i \(0.213380\pi\)
\(360\) −0.443878 + 0.256273i −0.0233944 + 0.0135068i
\(361\) 7.80339 4.50529i 0.410705 0.237120i
\(362\) −5.63475 21.0292i −0.296156 1.10527i
\(363\) −3.45534 −0.181358
\(364\) 4.85758 + 1.22373i 0.254606 + 0.0641410i
\(365\) 0.947614 0.0496004
\(366\) −0.869667 3.24564i −0.0454582 0.169652i
\(367\) −22.2369 + 12.8385i −1.16076 + 0.670163i −0.951485 0.307695i \(-0.900442\pi\)
−0.209271 + 0.977858i \(0.567109\pi\)
\(368\) −3.60667 + 2.08231i −0.188011 + 0.108548i
\(369\) 28.9249 7.75040i 1.50577 0.403470i
\(370\) −0.349087 0.349087i −0.0181481 0.0181481i
\(371\) −27.7664 2.48313i −1.44156 0.128918i
\(372\) −0.260863 0.260863i −0.0135251 0.0135251i
\(373\) −8.31200 + 14.3968i −0.430379 + 0.745439i −0.996906 0.0786048i \(-0.974953\pi\)
0.566527 + 0.824043i \(0.308287\pi\)
\(374\) 19.4997 + 33.7745i 1.00831 + 1.74644i
\(375\) 0.103725 0.387107i 0.00535633 0.0199901i
\(376\) −3.39042 + 5.87238i −0.174848 + 0.302845i
\(377\) 0.205274 1.29174i 0.0105721 0.0665279i
\(378\) 4.18327 11.4249i 0.215164 0.587635i
\(379\) −27.0566 + 27.0566i −1.38980 + 1.38980i −0.564094 + 0.825711i \(0.690774\pi\)
−0.825711 + 0.564094i \(0.809226\pi\)
\(380\) 0.110654 0.191658i 0.00567642 0.00983184i
\(381\) −0.0654244 0.113318i −0.00335179 0.00580547i
\(382\) −12.9811 3.47829i −0.664173 0.177965i
\(383\) −26.0895 + 6.99065i −1.33311 + 0.357206i −0.853874 0.520480i \(-0.825753\pi\)
−0.479236 + 0.877686i \(0.659086\pi\)
\(384\) 4.86124 4.86124i 0.248074 0.248074i
\(385\) −0.728378 0.512109i −0.0371216 0.0260995i
\(386\) −0.784626 −0.0399364
\(387\) −6.31642 3.64679i −0.321082 0.185377i
\(388\) −4.33359 1.16118i −0.220005 0.0589501i
\(389\) −16.4981 + 9.52520i −0.836488 + 0.482947i −0.856069 0.516862i \(-0.827100\pi\)
0.0195807 + 0.999808i \(0.493767\pi\)
\(390\) 0.144685 0.178483i 0.00732641 0.00903784i
\(391\) 5.06536i 0.256166i
\(392\) −6.99056 + 14.8418i −0.353077 + 0.749625i
\(393\) 0.395011 0.0199257
\(394\) 5.40846 + 3.12258i 0.272474 + 0.157313i
\(395\) 0.176283 0.657896i 0.00886975 0.0331024i
\(396\) 5.88738 + 1.57752i 0.295852 + 0.0792732i
\(397\) −0.881290 3.28902i −0.0442307 0.165071i 0.940278 0.340408i \(-0.110565\pi\)
−0.984508 + 0.175337i \(0.943899\pi\)
\(398\) 18.0502 18.0502i 0.904777 0.904777i
\(399\) −1.21115 6.94699i −0.0606335 0.347784i
\(400\) 23.8422i 1.19211i
\(401\) −35.6391 + 9.54948i −1.77973 + 0.476878i −0.990535 0.137260i \(-0.956170\pi\)
−0.789198 + 0.614138i \(0.789504\pi\)
\(402\) −4.04696 7.00954i −0.201844 0.349604i
\(403\) 4.59390 + 2.04817i 0.228838 + 0.102027i
\(404\) −5.10240 2.94587i −0.253854 0.146563i
\(405\) 0.381859 + 0.381859i 0.0189747 + 0.0189747i
\(406\) −1.43215 0.524386i −0.0710766 0.0260249i
\(407\) 16.4888i 0.817318i
\(408\) −1.77396 6.62050i −0.0878240 0.327764i
\(409\) 1.45373 5.42540i 0.0718824 0.268269i −0.920626 0.390446i \(-0.872321\pi\)
0.992508 + 0.122177i \(0.0389876\pi\)
\(410\) 0.357091 1.33268i 0.0176354 0.0658164i
\(411\) 1.79809 + 6.71055i 0.0886931 + 0.331007i
\(412\) 5.07008i 0.249785i
\(413\) −4.50128 + 3.76228i −0.221494 + 0.185130i
\(414\) 2.69176 + 2.69176i 0.132293 + 0.132293i
\(415\) −0.479215 0.276675i −0.0235237 0.0135814i
\(416\) 4.25725 9.54869i 0.208729 0.468163i
\(417\) −0.788093 1.36502i −0.0385931 0.0668452i
\(418\) 34.3322 9.19929i 1.67924 0.449952i
\(419\) 17.2554i 0.842980i −0.906833 0.421490i \(-0.861507\pi\)
0.906833 0.421490i \(-0.138493\pi\)
\(420\) −0.0357307 0.0427491i −0.00174348 0.00208594i
\(421\) 5.55993 5.55993i 0.270974 0.270974i −0.558518 0.829492i \(-0.688630\pi\)
0.829492 + 0.558518i \(0.188630\pi\)
\(422\) −8.65939 32.3173i −0.421533 1.57318i
\(423\) 7.67523 + 2.05657i 0.373182 + 0.0999939i
\(424\) −6.39137 + 23.8529i −0.310392 + 1.15840i
\(425\) −25.1137 14.4994i −1.21819 0.703325i
\(426\) −4.13873 −0.200522
\(427\) 10.0772 4.67548i 0.487671 0.226263i
\(428\) 9.25695i 0.447451i
\(429\) 7.63227 0.798208i 0.368489 0.0385378i
\(430\) −0.291021 + 0.168021i −0.0140343 + 0.00810271i
\(431\) 7.89471 + 2.11538i 0.380275 + 0.101894i 0.443892 0.896080i \(-0.353597\pi\)
−0.0636179 + 0.997974i \(0.520264\pi\)
\(432\) −11.9658 6.90844i −0.575704 0.332383i
\(433\) −6.91474 −0.332301 −0.166151 0.986100i \(-0.553134\pi\)
−0.166151 + 0.986100i \(0.553134\pi\)
\(434\) 3.37328 4.79785i 0.161923 0.230304i
\(435\) −0.0102865 + 0.0102865i −0.000493198 + 0.000493198i
\(436\) 6.92027 1.85428i 0.331421 0.0888039i
\(437\) 4.45917 + 1.19483i 0.213311 + 0.0571565i
\(438\) 4.76164 + 8.24741i 0.227520 + 0.394077i
\(439\) −2.14789 + 3.72026i −0.102513 + 0.177558i −0.912719 0.408587i \(-0.866022\pi\)
0.810206 + 0.586145i \(0.199355\pi\)
\(440\) −0.557715 + 0.557715i −0.0265880 + 0.0265880i
\(441\) 18.9196 + 3.41122i 0.900935 + 0.162439i
\(442\) −19.5427 26.9274i −0.929553 1.28081i
\(443\) 11.5068 19.9303i 0.546702 0.946916i −0.451795 0.892122i \(-0.649216\pi\)
0.998498 0.0547947i \(-0.0174504\pi\)
\(444\) 0.267041 0.996611i 0.0126732 0.0472971i
\(445\) 0.320772 + 0.555593i 0.0152061 + 0.0263377i
\(446\) −21.6983 + 37.5825i −1.02744 + 1.77958i
\(447\) 1.20622 + 1.20622i 0.0570521 + 0.0570521i
\(448\) 10.6947 + 7.51923i 0.505276 + 0.355250i
\(449\) −7.20816 7.20816i −0.340174 0.340174i 0.516259 0.856433i \(-0.327324\pi\)
−0.856433 + 0.516259i \(0.827324\pi\)
\(450\) −21.0506 + 5.64050i −0.992336 + 0.265896i
\(451\) 39.9074 23.0405i 1.87916 1.08494i
\(452\) 2.74188 1.58303i 0.128967 0.0744593i
\(453\) 2.12048 + 7.91373i 0.0996288 + 0.371820i
\(454\) −5.50824 −0.258515
\(455\) 0.663476 + 0.369890i 0.0311042 + 0.0173407i
\(456\) −6.24664 −0.292526
\(457\) 4.03718 + 15.0670i 0.188851 + 0.704803i 0.993773 + 0.111422i \(0.0355405\pi\)
−0.804922 + 0.593381i \(0.797793\pi\)
\(458\) 26.5261 15.3149i 1.23949 0.715617i
\(459\) −14.5538 + 8.40262i −0.679312 + 0.392201i
\(460\) 0.0352312 0.00944018i 0.00164266 0.000440151i
\(461\) −10.2849 10.2849i −0.479017 0.479017i 0.425800 0.904817i \(-0.359993\pi\)
−0.904817 + 0.425800i \(0.859993\pi\)
\(462\) 0.797048 8.91261i 0.0370820 0.414652i
\(463\) −15.2514 15.2514i −0.708792 0.708792i 0.257489 0.966281i \(-0.417105\pi\)
−0.966281 + 0.257489i \(0.917105\pi\)
\(464\) −0.865996 + 1.49995i −0.0402028 + 0.0696334i
\(465\) −0.0279712 0.0484476i −0.00129714 0.00224670i
\(466\) 2.12617 7.93498i 0.0984930 0.367581i
\(467\) 8.90667 15.4268i 0.412152 0.713868i −0.582973 0.812491i \(-0.698111\pi\)
0.995125 + 0.0986238i \(0.0314441\pi\)
\(468\) −5.13545 0.816087i −0.237386 0.0377237i
\(469\) 20.5321 17.1612i 0.948082 0.792429i
\(470\) 0.258873 0.258873i 0.0119409 0.0119409i
\(471\) 4.83965 8.38253i 0.222999 0.386246i
\(472\) 2.59836 + 4.50050i 0.119599 + 0.207152i
\(473\) −10.8412 2.90490i −0.498480 0.133567i
\(474\) 6.61169 1.77160i 0.303685 0.0813722i
\(475\) −18.6881 + 18.6881i −0.857468 + 0.857468i
\(476\) −7.31874 + 3.39564i −0.335454 + 0.155639i
\(477\) 28.9376 1.32496
\(478\) −13.3425 7.70331i −0.610273 0.352341i
\(479\) 24.4798 + 6.55934i 1.11851 + 0.299704i 0.770280 0.637706i \(-0.220116\pi\)
0.348229 + 0.937409i \(0.386783\pi\)
\(480\) −0.100701 + 0.0581399i −0.00459636 + 0.00265371i
\(481\) 1.46320 + 13.9908i 0.0667163 + 0.637925i
\(482\) 3.55293i 0.161832i
\(483\) 0.668451 0.950745i 0.0304156 0.0432604i
\(484\) 3.60299 0.163772
\(485\) −0.589181 0.340164i −0.0267533 0.0154460i
\(486\) −4.97526 + 18.5679i −0.225682 + 0.842258i
\(487\) 32.2452 + 8.64006i 1.46117 + 0.391519i 0.899893 0.436111i \(-0.143645\pi\)
0.561275 + 0.827630i \(0.310311\pi\)
\(488\) −2.54695 9.50535i −0.115295 0.430287i
\(489\) −0.442410 + 0.442410i −0.0200065 + 0.0200065i
\(490\) 0.571961 0.676330i 0.0258386 0.0305535i
\(491\) 14.4968i 0.654231i 0.944984 + 0.327115i \(0.106077\pi\)
−0.944984 + 0.327115i \(0.893923\pi\)
\(492\) 2.78522 0.746298i 0.125567 0.0336457i
\(493\) 1.05330 + 1.82436i 0.0474381 + 0.0821651i
\(494\) −28.3147 + 10.8522i −1.27394 + 0.488266i
\(495\) 0.800427 + 0.462127i 0.0359765 + 0.0207711i
\(496\) −4.70968 4.70968i −0.211471 0.211471i
\(497\) −2.35010 13.4798i −0.105417 0.604653i
\(498\) 5.56103i 0.249196i
\(499\) 2.56035 + 9.55534i 0.114617 + 0.427756i 0.999258 0.0385167i \(-0.0122633\pi\)
−0.884641 + 0.466273i \(0.845597\pi\)
\(500\) −0.108157 + 0.403649i −0.00483694 + 0.0180517i
\(501\) −1.34828 + 5.03185i −0.0602367 + 0.224806i
\(502\) −10.2138 38.1184i −0.455864 1.70131i
\(503\) 32.9620i 1.46970i 0.678229 + 0.734851i \(0.262748\pi\)
−0.678229 + 0.734851i \(0.737252\pi\)
\(504\) 5.85531 15.9915i 0.260816 0.712316i
\(505\) −0.631745 0.631745i −0.0281123 0.0281123i
\(506\) 5.07314 + 2.92898i 0.225528 + 0.130209i
\(507\) −6.40517 + 1.35456i −0.284464 + 0.0601583i
\(508\) 0.0682200 + 0.118161i 0.00302678 + 0.00524253i
\(509\) 33.3056 8.92421i 1.47624 0.395559i 0.571177 0.820827i \(-0.306487\pi\)
0.905067 + 0.425268i \(0.139820\pi\)
\(510\) 0.370054i 0.0163863i
\(511\) −24.1580 + 20.1918i −1.06869 + 0.893233i
\(512\) 6.03549 6.03549i 0.266733 0.266733i
\(513\) 3.96406 + 14.7941i 0.175018 + 0.653174i
\(514\) 20.4929 + 5.49105i 0.903903 + 0.242200i
\(515\) −0.198987 + 0.742629i −0.00876840 + 0.0327241i
\(516\) −0.608217 0.351154i −0.0267753 0.0154587i
\(517\) 12.2276 0.537770
\(518\) 16.3378 + 1.46108i 0.717841 + 0.0641960i
\(519\) 1.59292i 0.0699216i
\(520\) 0.423732 0.522714i 0.0185819 0.0229225i
\(521\) −28.0062 + 16.1694i −1.22697 + 0.708393i −0.966395 0.257060i \(-0.917246\pi\)
−0.260577 + 0.965453i \(0.583913\pi\)
\(522\) 1.52920 + 0.409749i 0.0669314 + 0.0179342i
\(523\) −16.8623 9.73548i −0.737339 0.425703i 0.0837622 0.996486i \(-0.473306\pi\)
−0.821101 + 0.570783i \(0.806640\pi\)
\(524\) −0.411891 −0.0179935
\(525\) 2.80031 + 6.03561i 0.122216 + 0.263415i
\(526\) 0.476192 0.476192i 0.0207629 0.0207629i
\(527\) −7.82500 + 2.09670i −0.340863 + 0.0913338i
\(528\) −9.81556 2.63007i −0.427167 0.114459i
\(529\) −11.1196 19.2597i −0.483460 0.837377i
\(530\) 0.666632 1.15464i 0.0289566 0.0501544i
\(531\) 4.30605 4.30605i 0.186867 0.186867i
\(532\) 1.26291 + 7.24384i 0.0547540 + 0.314060i
\(533\) −31.8169 + 23.0913i −1.37815 + 1.00020i
\(534\) −3.22368 + 5.58358i −0.139502 + 0.241625i
\(535\) −0.363310 + 1.35589i −0.0157073 + 0.0586203i
\(536\) −11.8521 20.5285i −0.511934 0.886695i
\(537\) −1.46119 + 2.53086i −0.0630551 + 0.109215i
\(538\) 16.3088 + 16.3088i 0.703122 + 0.703122i
\(539\) 29.4809 2.46488i 1.26983 0.106170i
\(540\) 0.0855664 + 0.0855664i 0.00368219 + 0.00368219i
\(541\) 7.40097 1.98308i 0.318193 0.0852594i −0.0961879 0.995363i \(-0.530665\pi\)
0.414380 + 0.910104i \(0.363998\pi\)
\(542\) −27.2248 + 15.7183i −1.16941 + 0.675157i
\(543\) 5.97525 3.44981i 0.256423 0.148046i
\(544\) 4.35812 + 16.2647i 0.186853 + 0.697345i
\(545\) 1.08641 0.0465366
\(546\) 0.114601 + 7.63311i 0.00490445 + 0.326667i
\(547\) −17.3075 −0.740016 −0.370008 0.929029i \(-0.620645\pi\)
−0.370008 + 0.929029i \(0.620645\pi\)
\(548\) −1.87492 6.99730i −0.0800927 0.298910i
\(549\) −9.98663 + 5.76578i −0.426219 + 0.246078i
\(550\) −29.0433 + 16.7682i −1.23841 + 0.714998i
\(551\) 1.85449 0.496908i 0.0790037 0.0211690i
\(552\) −0.727980 0.727980i −0.0309849 0.0309849i
\(553\) 9.52443 + 20.5283i 0.405020 + 0.872952i
\(554\) −26.6910 26.6910i −1.13399 1.13399i
\(555\) 0.0782285 0.135496i 0.00332062 0.00575148i
\(556\) 0.821769 + 1.42335i 0.0348508 + 0.0603633i
\(557\) 4.30702 16.0740i 0.182494 0.681078i −0.812659 0.582740i \(-0.801981\pi\)
0.995153 0.0983379i \(-0.0313526\pi\)
\(558\) −3.04405 + 5.27245i −0.128865 + 0.223200i
\(559\) 9.45660 + 1.50277i 0.399972 + 0.0635605i
\(560\) −0.645089 0.771800i −0.0272600 0.0326145i
\(561\) −8.73959 + 8.73959i −0.368986 + 0.368986i
\(562\) 10.8554 18.8021i 0.457906 0.793117i
\(563\) −1.95468 3.38561i −0.0823800 0.142686i 0.821892 0.569644i \(-0.192919\pi\)
−0.904272 + 0.426957i \(0.859585\pi\)
\(564\) 0.739059 + 0.198030i 0.0311200 + 0.00833858i
\(565\) 0.463741 0.124259i 0.0195097 0.00522762i
\(566\) −30.0741 + 30.0741i −1.26411 + 1.26411i
\(567\) −17.8716 1.59824i −0.750536 0.0671198i
\(568\) −12.1209 −0.508581
\(569\) 2.28143 + 1.31718i 0.0956424 + 0.0552192i 0.547058 0.837094i \(-0.315748\pi\)
−0.451416 + 0.892314i \(0.649081\pi\)
\(570\) 0.325768 + 0.0872893i 0.0136449 + 0.00365615i
\(571\) 16.2796 9.39903i 0.681280 0.393337i −0.119057 0.992887i \(-0.537987\pi\)
0.800337 + 0.599550i \(0.204654\pi\)
\(572\) −7.95841 + 0.832317i −0.332758 + 0.0348009i
\(573\) 4.25908i 0.177926i
\(574\) 19.2933 + 41.5836i 0.805288 + 1.73566i
\(575\) −4.35580 −0.181649
\(576\) −11.7526 6.78535i −0.489690 0.282723i
\(577\) 11.6005 43.2935i 0.482934 1.80233i −0.106257 0.994339i \(-0.533886\pi\)
0.589190 0.807994i \(-0.299447\pi\)
\(578\) 25.6681 + 6.87775i 1.06765 + 0.286076i
\(579\) −0.0643585 0.240189i −0.00267465 0.00998192i
\(580\) 0.0107260 0.0107260i 0.000445374 0.000445374i
\(581\) 18.1123 3.15773i 0.751423 0.131005i
\(582\) 6.83712i 0.283408i
\(583\) 43.0130 11.5253i 1.78142 0.477330i
\(584\) 13.9452 + 24.1538i 0.577056 + 0.999491i
\(585\) −0.720174 0.321087i −0.0297755 0.0132753i
\(586\) −42.5740 24.5801i −1.75872 1.01539i
\(587\) 21.2468 + 21.2468i 0.876947 + 0.876947i 0.993218 0.116270i \(-0.0370939\pi\)
−0.116270 + 0.993218i \(0.537094\pi\)
\(588\) 1.82180 + 0.328471i 0.0751297 + 0.0135459i
\(589\) 7.38312i 0.304216i
\(590\) −0.0726180 0.271014i −0.00298964 0.0111575i
\(591\) −0.512255 + 1.91176i −0.0210714 + 0.0786394i
\(592\) 4.82121 17.9930i 0.198151 0.739508i
\(593\) 9.37263 + 34.9791i 0.384888 + 1.43642i 0.838344 + 0.545142i \(0.183524\pi\)
−0.453456 + 0.891279i \(0.649809\pi\)
\(594\) 19.4348i 0.797419i
\(595\) −1.20527 + 0.210129i −0.0494111 + 0.00861444i
\(596\) −1.25776 1.25776i −0.0515198 0.0515198i
\(597\) 7.00609 + 4.04497i 0.286740 + 0.165550i
\(598\) −4.56449 2.03506i −0.186656 0.0832198i
\(599\) 1.01128 + 1.75158i 0.0413196 + 0.0715677i 0.885946 0.463789i \(-0.153510\pi\)
−0.844626 + 0.535357i \(0.820177\pi\)
\(600\) 5.69309 1.52546i 0.232419 0.0622766i
\(601\) 16.8573i 0.687623i 0.939039 + 0.343811i \(0.111718\pi\)
−0.939039 + 0.343811i \(0.888282\pi\)
\(602\) 3.83894 10.4845i 0.156464 0.427318i
\(603\) −19.6415 + 19.6415i −0.799865 + 0.799865i
\(604\) −2.21109 8.25190i −0.0899680 0.335765i
\(605\) 0.527741 + 0.141408i 0.0214557 + 0.00574904i
\(606\) 2.32385 8.67274i 0.0944001 0.352306i
\(607\) 20.1392 + 11.6274i 0.817424 + 0.471940i 0.849528 0.527544i \(-0.176887\pi\)
−0.0321030 + 0.999485i \(0.510220\pi\)
\(608\) 15.3463 0.622373
\(609\) 0.0430533 0.481422i 0.00174461 0.0195082i
\(610\) 0.531303i 0.0215118i
\(611\) −10.3752 + 1.08507i −0.419735 + 0.0438973i
\(612\) 7.25295 4.18749i 0.293183 0.169269i
\(613\) 2.25163 + 0.603323i 0.0909426 + 0.0243680i 0.304003 0.952671i \(-0.401677\pi\)
−0.213061 + 0.977039i \(0.568343\pi\)
\(614\) −4.85642 2.80386i −0.195989 0.113155i
\(615\) 0.437249 0.0176316
\(616\) 2.33427 26.1019i 0.0940506 1.05168i
\(617\) −8.67485 + 8.67485i −0.349236 + 0.349236i −0.859825 0.510589i \(-0.829428\pi\)
0.510589 + 0.859825i \(0.329428\pi\)
\(618\) −7.46323 + 1.99977i −0.300215 + 0.0804424i
\(619\) 25.7197 + 6.89158i 1.03376 + 0.276996i 0.735527 0.677496i \(-0.236935\pi\)
0.298237 + 0.954492i \(0.403601\pi\)
\(620\) 0.0291665 + 0.0505178i 0.00117135 + 0.00202885i
\(621\) −1.26212 + 2.18606i −0.0506473 + 0.0877237i
\(622\) −34.0581 + 34.0581i −1.36561 + 1.36561i
\(623\) −20.0162 7.32898i −0.801932 0.293629i
\(624\) 8.56193 + 1.36060i 0.342751 + 0.0544675i
\(625\) 12.4525 21.5683i 0.498099 0.862732i
\(626\) 8.00824 29.8871i 0.320074 1.19453i
\(627\) 5.63216 + 9.75519i 0.224927 + 0.389585i
\(628\) −5.04646 + 8.74072i −0.201376 + 0.348793i
\(629\) −16.0206 16.0206i −0.638784 0.638784i
\(630\) −0.528821 + 0.752148i −0.0210687 + 0.0299663i
\(631\) −2.58488 2.58488i −0.102903 0.102903i 0.653781 0.756684i \(-0.273182\pi\)
−0.756684 + 0.653781i \(0.773182\pi\)
\(632\) 19.3633 5.18839i 0.770232 0.206383i
\(633\) 9.18267 5.30162i 0.364978 0.210720i
\(634\) −6.89888 + 3.98307i −0.273989 + 0.158188i
\(635\) 0.00535490 + 0.0199848i 0.000212503 + 0.000793071i
\(636\) 2.78644 0.110490
\(637\) −24.7959 + 4.70758i −0.982451 + 0.186521i
\(638\) 2.43622 0.0964507
\(639\) 3.67616 + 13.7196i 0.145427 + 0.542740i
\(640\) −0.941409 + 0.543523i −0.0372125 + 0.0214846i
\(641\) −26.8165 + 15.4825i −1.05919 + 0.611523i −0.925208 0.379461i \(-0.876109\pi\)
−0.133981 + 0.990984i \(0.542776\pi\)
\(642\) −13.6264 + 3.65118i −0.537790 + 0.144100i
\(643\) −9.81258 9.81258i −0.386970 0.386970i 0.486635 0.873605i \(-0.338224\pi\)
−0.873605 + 0.486635i \(0.838224\pi\)
\(644\) −0.697015 + 0.991372i −0.0274662 + 0.0390655i
\(645\) −0.0753055 0.0753055i −0.00296515 0.00296515i
\(646\) 24.4193 42.2955i 0.960766 1.66410i
\(647\) −13.7400 23.7983i −0.540174 0.935608i −0.998894 0.0470275i \(-0.985025\pi\)
0.458720 0.888581i \(-0.348308\pi\)
\(648\) −4.11374 + 15.3527i −0.161603 + 0.603111i
\(649\) 4.68553 8.11557i 0.183923 0.318564i
\(650\) 23.1554 16.8051i 0.908229 0.659152i
\(651\) 1.74541 + 0.639085i 0.0684079 + 0.0250477i
\(652\) 0.461314 0.461314i 0.0180665 0.0180665i
\(653\) −5.05778 + 8.76034i −0.197926 + 0.342819i −0.947856 0.318699i \(-0.896754\pi\)
0.749930 + 0.661518i \(0.230087\pi\)
\(654\) 5.45906 + 9.45537i 0.213466 + 0.369734i
\(655\) −0.0603308 0.0161656i −0.00235732 0.000631642i
\(656\) 50.2849 13.4738i 1.96330 0.526063i
\(657\) 23.1102 23.1102i 0.901615 0.901615i
\(658\) −1.08349 + 12.1157i −0.0422390 + 0.472317i
\(659\) 39.4336 1.53612 0.768058 0.640380i \(-0.221223\pi\)
0.768058 + 0.640380i \(0.221223\pi\)
\(660\) 0.0770744 + 0.0444989i 0.00300012 + 0.00173212i
\(661\) −24.5270 6.57200i −0.953992 0.255621i −0.251936 0.967744i \(-0.581067\pi\)
−0.702055 + 0.712123i \(0.747734\pi\)
\(662\) 26.3931 15.2381i 1.02580 0.592244i
\(663\) 6.64003 8.19112i 0.257877 0.318117i
\(664\) 16.2863i 0.632032i
\(665\) −0.0993194 + 1.11059i −0.00385144 + 0.0430669i
\(666\) −17.0269 −0.659778
\(667\) 0.274030 + 0.158211i 0.0106105 + 0.00612597i
\(668\) 1.40589 5.24687i 0.0543957 0.203007i
\(669\) −13.2845 3.55958i −0.513610 0.137621i
\(670\) 0.331238 + 1.23620i 0.0127969 + 0.0477585i
\(671\) −12.5478 + 12.5478i −0.484403 + 0.484403i
\(672\) 1.32838 3.62793i 0.0512433 0.139951i
\(673\) 20.9026i 0.805734i −0.915258 0.402867i \(-0.868014\pi\)
0.915258 0.402867i \(-0.131986\pi\)
\(674\) 4.62380 1.23894i 0.178102 0.0477224i
\(675\) −7.22557 12.5150i −0.278112 0.481704i
\(676\) 6.67888 1.41245i 0.256880 0.0543249i
\(677\) −13.6905 7.90421i −0.526169 0.303784i 0.213286 0.976990i \(-0.431583\pi\)
−0.739455 + 0.673206i \(0.764917\pi\)
\(678\) 3.41171 + 3.41171i 0.131026 + 0.131026i
\(679\) 22.2685 3.88234i 0.854586 0.148990i
\(680\) 1.08376i 0.0415603i
\(681\) −0.451810 1.68618i −0.0173134 0.0646145i
\(682\) −2.42478 + 9.04940i −0.0928496 + 0.346520i
\(683\) 3.01723 11.2605i 0.115451 0.430870i −0.883869 0.467734i \(-0.845070\pi\)
0.999320 + 0.0368647i \(0.0117370\pi\)
\(684\) −1.97551 7.37271i −0.0755355 0.281902i
\(685\) 1.09850i 0.0419715i
\(686\) −0.170005 + 29.4294i −0.00649081 + 1.12362i
\(687\) 6.86397 + 6.86397i 0.261877 + 0.261877i
\(688\) −10.9809 6.33981i −0.418642 0.241703i
\(689\) −35.4740 + 13.5962i −1.35145 + 0.517975i
\(690\) 0.0277922 + 0.0481375i 0.00105803 + 0.00183256i
\(691\) −10.1085 + 2.70856i −0.384545 + 0.103038i −0.445912 0.895077i \(-0.647121\pi\)
0.0613673 + 0.998115i \(0.480454\pi\)
\(692\) 1.66099i 0.0631415i
\(693\) −30.2527 + 5.27432i −1.14921 + 0.200355i
\(694\) 9.25675 9.25675i 0.351381 0.351381i
\(695\) 0.0645044 + 0.240734i 0.00244679 + 0.00913155i
\(696\) −0.413569 0.110815i −0.0156763 0.00420045i
\(697\) 16.3880 61.1607i 0.620738 2.31663i
\(698\) 15.6887 + 9.05789i 0.593827 + 0.342846i
\(699\) 2.60345 0.0984716
\(700\) −2.91998 6.29352i −0.110365 0.237873i
\(701\) 36.2902i 1.37066i 0.728232 + 0.685331i \(0.240343\pi\)
−0.728232 + 0.685331i \(0.759657\pi\)
\(702\) −1.72463 16.4905i −0.0650920 0.622394i
\(703\) −17.8823 + 10.3244i −0.674445 + 0.389391i
\(704\) −20.1716 5.40497i −0.760246 0.203707i
\(705\) 0.100480 + 0.0580122i 0.00378430 + 0.00218486i
\(706\) −26.8591 −1.01086
\(707\) 29.5666 + 2.64412i 1.11197 + 0.0994425i
\(708\) 0.414636 0.414636i 0.0155830 0.0155830i
\(709\) −6.22549 + 1.66812i −0.233803 + 0.0626474i −0.373818 0.927502i \(-0.621952\pi\)
0.140015 + 0.990149i \(0.455285\pi\)
\(710\) 0.632116 + 0.169375i 0.0237229 + 0.00635653i
\(711\) −11.7455 20.3438i −0.440490 0.762951i
\(712\) −9.44103 + 16.3523i −0.353818 + 0.612830i
\(713\) −0.860425 + 0.860425i −0.0322232 + 0.0322232i
\(714\) −7.88514 9.43397i −0.295094 0.353058i
\(715\) −1.19836 0.190434i −0.0448160 0.00712183i
\(716\) 1.52363 2.63901i 0.0569408 0.0986244i
\(717\) 1.26372 4.71627i 0.0471945 0.176132i
\(718\) −17.9479 31.0866i −0.669808 1.16014i
\(719\) −2.59436 + 4.49357i −0.0967533 + 0.167582i −0.910339 0.413863i \(-0.864179\pi\)
0.813586 + 0.581445i \(0.197512\pi\)
\(720\) 0.738325 + 0.738325i 0.0275158 + 0.0275158i
\(721\) −10.7511 23.1722i −0.400392 0.862978i
\(722\) −10.1246 10.1246i −0.376799 0.376799i
\(723\) −1.08762 + 0.291427i −0.0404491 + 0.0108383i
\(724\) −6.23059 + 3.59723i −0.231558 + 0.133690i
\(725\) −1.56880 + 0.905748i −0.0582639 + 0.0336387i
\(726\) 1.42111 + 5.30366i 0.0527424 + 0.196837i
\(727\) −23.5345 −0.872848 −0.436424 0.899741i \(-0.643755\pi\)
−0.436424 + 0.899741i \(0.643755\pi\)
\(728\) 0.335625 + 22.3547i 0.0124391 + 0.828520i
\(729\) 14.2532 0.527898
\(730\) −0.389735 1.45451i −0.0144247 0.0538338i
\(731\) −13.3558 + 7.71100i −0.493984 + 0.285202i
\(732\) −0.961628 + 0.555196i −0.0355428 + 0.0205206i
\(733\) −1.83255 + 0.491030i −0.0676867 + 0.0181366i −0.292503 0.956264i \(-0.594488\pi\)
0.224817 + 0.974401i \(0.427822\pi\)
\(734\) 28.8516 + 28.8516i 1.06493 + 1.06493i
\(735\) 0.253953 + 0.119613i 0.00936718 + 0.00441198i
\(736\) 1.78844 + 1.78844i 0.0659230 + 0.0659230i
\(737\) −21.3725 + 37.0182i −0.787265 + 1.36358i
\(738\) −23.7925 41.2097i −0.875812 1.51695i
\(739\) 1.69162 6.31322i 0.0622274 0.232236i −0.927807 0.373060i \(-0.878309\pi\)
0.990035 + 0.140824i \(0.0449752\pi\)
\(740\) −0.0815714 + 0.141286i −0.00299862 + 0.00519377i
\(741\) −5.64458 7.77752i −0.207359 0.285714i
\(742\) 7.60837 + 43.6404i 0.279312 + 1.60209i
\(743\) 12.2516 12.2516i 0.449468 0.449468i −0.445709 0.895178i \(-0.647049\pi\)
0.895178 + 0.445709i \(0.147049\pi\)
\(744\) 0.823255 1.42592i 0.0301820 0.0522768i
\(745\) −0.134864 0.233591i −0.00494103 0.00855812i
\(746\) 25.5165 + 6.83712i 0.934225 + 0.250325i
\(747\) −18.4345 + 4.93950i −0.674482 + 0.180727i
\(748\) 9.11304 9.11304i 0.333206 0.333206i
\(749\) −19.6294 42.3078i −0.717241 1.54589i
\(750\) −0.636837 −0.0232540
\(751\) 35.4951 + 20.4931i 1.29524 + 0.747805i 0.979577 0.201068i \(-0.0644412\pi\)
0.315659 + 0.948873i \(0.397775\pi\)
\(752\) 13.3431 + 3.57528i 0.486573 + 0.130377i
\(753\) 10.8310 6.25328i 0.394704 0.227882i
\(754\) −2.06714 + 0.216188i −0.0752807 + 0.00787311i
\(755\) 1.29546i 0.0471466i
\(756\) −4.00464 0.358132i −0.145647 0.0130251i
\(757\) −25.7292 −0.935142 −0.467571 0.883955i \(-0.654871\pi\)
−0.467571 + 0.883955i \(0.654871\pi\)
\(758\) 52.6575 + 30.4018i 1.91261 + 1.10424i
\(759\) −0.480496 + 1.79323i −0.0174409 + 0.0650903i
\(760\) 0.954061 + 0.255640i 0.0346074 + 0.00927303i
\(761\) 7.34981 + 27.4299i 0.266430 + 0.994332i 0.961369 + 0.275263i \(0.0887648\pi\)
−0.694939 + 0.719069i \(0.744568\pi\)
\(762\) −0.147027 + 0.147027i −0.00532621 + 0.00532621i
\(763\) −27.6963 + 23.1492i −1.00267 + 0.838058i
\(764\) 4.44108i 0.160673i
\(765\) 1.22671 0.328695i 0.0443517 0.0118840i
\(766\) 21.4601 + 37.1701i 0.775387 + 1.34301i
\(767\) −3.25552 + 7.30188i −0.117550 + 0.263656i
\(768\) −5.15080 2.97382i −0.185864 0.107308i
\(769\) −20.7240 20.7240i −0.747328 0.747328i 0.226649 0.973977i \(-0.427223\pi\)
−0.973977 + 0.226649i \(0.927223\pi\)
\(770\) −0.486477 + 1.32862i −0.0175314 + 0.0478802i
\(771\) 6.72367i 0.242147i
\(772\) 0.0671086 + 0.250453i 0.00241529 + 0.00901399i
\(773\) 1.57741 5.88696i 0.0567353 0.211739i