Properties

Label 91.2.bb.a.31.7
Level $91$
Weight $2$
Character 91.31
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 31.7
Character \(\chi\) \(=\) 91.31
Dual form 91.2.bb.a.47.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53492 + 0.411280i) q^{2} +(0.436133 + 0.251802i) q^{3} +(0.454770 + 0.262561i) q^{4} +(-0.0206096 + 0.0769162i) q^{5} +(0.565867 + 0.565867i) q^{6} +(-2.16435 + 1.52171i) q^{7} +(-1.65723 - 1.65723i) q^{8} +(-1.37319 - 2.37844i) q^{9} +O(q^{10})\) \(q+(1.53492 + 0.411280i) q^{2} +(0.436133 + 0.251802i) q^{3} +(0.454770 + 0.262561i) q^{4} +(-0.0206096 + 0.0769162i) q^{5} +(0.565867 + 0.565867i) q^{6} +(-2.16435 + 1.52171i) q^{7} +(-1.65723 - 1.65723i) q^{8} +(-1.37319 - 2.37844i) q^{9} +(-0.0632682 + 0.109584i) q^{10} +(4.08225 - 1.09384i) 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} +(-1.12953 - 4.21547i) q^{18} +(1.36980 - 5.11216i) q^{19} +(-0.0295679 + 0.0295679i) q^{20} +(-1.32711 + 0.118683i) q^{21} +6.71579 q^{22} +(-0.755405 + 0.436133i) q^{23} +(-0.305479 - 1.14006i) q^{24} +(4.32464 + 2.49683i) q^{25} +(-2.33307 + 5.23291i) q^{26} -2.89390i q^{27} +(-1.38382 + 0.123754i) q^{28} +0.362759 q^{29} +(-0.0551867 + 0.0318621i) q^{30} +(-1.34748 + 0.361057i) q^{31} +(-0.750478 - 2.80082i) q^{32} +(2.05583 + 0.550859i) q^{33} +(-6.52511 + 6.52511i) q^{34} +(-0.0724379 - 0.197835i) q^{35} -1.44219i q^{36} +(1.00978 - 3.76857i) q^{37} +(4.20506 - 7.28338i) q^{38} +(-1.14343 + 1.41053i) q^{39} +(0.161623 - 0.0933128i) q^{40} +(7.70995 + 7.70995i) q^{41} +(-2.08582 - 0.363646i) q^{42} +2.65570i q^{43} +(2.14368 + 0.574398i) q^{44} +(0.211242 - 0.0566020i) q^{45} +(-1.33886 + 0.358745i) q^{46} +(-2.79467 - 0.748829i) q^{47} -2.40445i q^{48} +(2.36879 - 6.58702i) q^{49} +(5.61106 + 5.61106i) q^{50} +(-2.53268 + 1.46224i) q^{51} +(-1.19229 + 1.47080i) q^{52} +(-5.26830 + 9.12497i) q^{53} +(1.19020 - 4.44189i) q^{54} +0.336535i q^{55} +(6.10864 + 1.06499i) q^{56} +(1.88467 - 1.88467i) q^{57} +(0.556806 + 0.149196i) q^{58} +(-0.573890 - 2.14179i) q^{59} +(-0.0203408 + 0.00545029i) q^{60} +(3.63628 - 2.09941i) q^{61} -2.21677 q^{62} +(6.59136 + 3.05816i) q^{63} +4.94130i q^{64} +(-0.262226 - 0.116913i) q^{65} +(2.92898 + 1.69105i) q^{66} +(-2.61773 - 9.76951i) q^{67} +(-2.64091 + 1.52473i) q^{68} -0.439276 q^{69} +(-0.0298205 - 0.333453i) q^{70} +(3.65698 - 3.65698i) q^{71} +(-1.66592 + 6.21730i) q^{72} +(-3.08002 - 11.4948i) 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} +(0.367236 - 0.0984006i) q^{80} +(-3.39089 + 5.87319i) q^{81} +(8.66319 + 15.0051i) q^{82} +(-4.91372 - 4.91372i) q^{83} +(-0.634692 - 0.294475i) q^{84} +(-0.326980 - 0.326980i) q^{85} +(-1.09224 + 4.07628i) q^{86} +(0.158211 + 0.0913434i) q^{87} +(-8.57795 - 4.95248i) q^{88} +(-7.78209 - 2.08520i) q^{89} +0.347518 q^{90} +(-4.19388 - 8.56804i) q^{91} -0.458047 q^{92} +(-0.678596 - 0.181829i) q^{93} +(-3.98161 - 2.29878i) q^{94} +(0.364977 + 0.210720i) q^{95} +(0.377943 - 1.41050i) q^{96} +(-6.04128 - 6.04128i) q^{97} +(6.34501 - 9.13630i) 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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53492 + 0.411280i 1.08535 + 0.290819i 0.756786 0.653663i \(-0.226768\pi\)
0.328565 + 0.944482i \(0.393435\pi\)
\(3\) 0.436133 + 0.251802i 0.251802 + 0.145378i 0.620589 0.784136i \(-0.286894\pi\)
−0.368787 + 0.929514i \(0.620227\pi\)
\(4\) 0.454770 + 0.262561i 0.227385 + 0.131281i
\(5\) −0.0206096 + 0.0769162i −0.00921691 + 0.0343980i −0.970381 0.241579i \(-0.922335\pi\)
0.961164 + 0.275977i \(0.0890014\pi\)
\(6\) 0.565867 + 0.565867i 0.231014 + 0.231014i
\(7\) −2.16435 + 1.52171i −0.818046 + 0.575153i
\(8\) −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
\(11\) 4.08225 1.09384i 1.23084 0.329804i 0.415936 0.909394i \(-0.363454\pi\)
0.814908 + 0.579590i \(0.196787\pi\)
\(12\) 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 0.262755 + 0.964863i \(0.415369\pi\)
−0.966973 + 0.254879i \(0.917964\pi\)
\(18\) −1.12953 4.21547i −0.266233 0.993596i
\(19\) 1.36980 5.11216i 0.314254 1.17281i −0.610429 0.792071i \(-0.709003\pi\)
0.924682 0.380740i \(-0.124331\pi\)
\(20\) −0.0295679 + 0.0295679i −0.00661158 + 0.00661158i
\(21\) −1.32711 + 0.118683i −0.289600 + 0.0258987i
\(22\) 6.71579 1.43181
\(23\) −0.755405 + 0.436133i −0.157513 + 0.0909400i −0.576685 0.816967i \(-0.695654\pi\)
0.419172 + 0.907907i \(0.362320\pi\)
\(24\) −0.305479 1.14006i −0.0623557 0.232715i
\(25\) 4.32464 + 2.49683i 0.864927 + 0.499366i
\(26\) −2.33307 + 5.23291i −0.457553 + 1.02626i
\(27\) 2.89390i 0.556931i
\(28\) −1.38382 + 0.123754i −0.261518 + 0.0233873i
\(29\) 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
\(31\) −1.34748 + 0.361057i −0.242015 + 0.0648477i −0.377787 0.925892i \(-0.623315\pi\)
0.135773 + 0.990740i \(0.456648\pi\)
\(32\) −0.750478 2.80082i −0.132667 0.495120i
\(33\) 2.05583 + 0.550859i 0.357875 + 0.0958922i
\(34\) −6.52511 + 6.52511i −1.11905 + 1.11905i
\(35\) −0.0724379 0.197835i −0.0122442 0.0334403i
\(36\) 1.44219i 0.240365i
\(37\) 1.00978 3.76857i 0.166008 0.619549i −0.831902 0.554923i \(-0.812748\pi\)
0.997910 0.0646262i \(-0.0205855\pi\)
\(38\) 4.20506 7.28338i 0.682151 1.18152i
\(39\) −1.14343 + 1.41053i −0.183095 + 0.225865i
\(40\) 0.161623 0.0933128i 0.0255548 0.0147541i
\(41\) 7.70995 + 7.70995i 1.20409 + 1.20409i 0.972911 + 0.231182i \(0.0742592\pi\)
0.231182 + 0.972911i \(0.425741\pi\)
\(42\) −2.08582 0.363646i −0.321849 0.0561119i
\(43\) 2.65570i 0.404990i 0.979283 + 0.202495i \(0.0649050\pi\)
−0.979283 + 0.202495i \(0.935095\pi\)
\(44\) 2.14368 + 0.574398i 0.323172 + 0.0865938i
\(45\) 0.211242 0.0566020i 0.0314900 0.00843773i
\(46\) −1.33886 + 0.358745i −0.197404 + 0.0528941i
\(47\) −2.79467 0.748829i −0.407644 0.109228i 0.0491692 0.998790i \(-0.484343\pi\)
−0.456813 + 0.889563i \(0.651009\pi\)
\(48\) 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
\(52\) −1.19229 + 1.47080i −0.165340 + 0.203963i
\(53\) −5.26830 + 9.12497i −0.723657 + 1.25341i 0.235868 + 0.971785i \(0.424207\pi\)
−0.959524 + 0.281625i \(0.909127\pi\)
\(54\) 1.19020 4.44189i 0.161966 0.604465i
\(55\) 0.336535i 0.0453784i
\(56\) 6.10864 + 1.06499i 0.816301 + 0.142316i
\(57\) 1.88467 1.88467i 0.249630 0.249630i
\(58\) 0.556806 + 0.149196i 0.0731122 + 0.0195903i
\(59\) −0.573890 2.14179i −0.0747142 0.278837i 0.918454 0.395527i \(-0.129438\pi\)
−0.993168 + 0.116690i \(0.962772\pi\)
\(60\) −0.0203408 + 0.00545029i −0.00262598 + 0.000703630i
\(61\) 3.63628 2.09941i 0.465578 0.268802i −0.248809 0.968553i \(-0.580039\pi\)
0.714387 + 0.699751i \(0.246706\pi\)
\(62\) −2.21677 −0.281530
\(63\) 6.59136 + 3.05816i 0.830433 + 0.385292i
\(64\) 4.94130i 0.617662i
\(65\) −0.262226 0.116913i −0.0325252 0.0145012i
\(66\) 2.92898 + 1.69105i 0.360532 + 0.208153i
\(67\) −2.61773 9.76951i −0.319807 1.19354i −0.919430 0.393253i \(-0.871350\pi\)
0.599623 0.800282i \(-0.295317\pi\)
\(68\) −2.64091 + 1.52473i −0.320257 + 0.184901i
\(69\) −0.439276 −0.0528826
\(70\) −0.0298205 0.333453i −0.00356423 0.0398553i
\(71\) 3.65698 3.65698i 0.434004 0.434004i −0.455984 0.889988i \(-0.650713\pi\)
0.889988 + 0.455984i \(0.150713\pi\)
\(72\) −1.66592 + 6.21730i −0.196331 + 0.732716i
\(73\) −3.08002 11.4948i −0.360489 1.34536i −0.873434 0.486942i \(-0.838112\pi\)
0.512945 0.858421i \(-0.328554\pi\)
\(74\) 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 0.518599 0.855017i \(-0.326454\pi\)
−0.999766 + 0.0216116i \(0.993120\pi\)
\(80\) 0.367236 0.0984006i 0.0410582 0.0110015i
\(81\) −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 0.383987 0.923338i \(-0.374551\pi\)
−0.923338 + 0.383987i \(0.874551\pi\)
\(84\) −0.634692 0.294475i −0.0692506 0.0321299i
\(85\) −0.326980 0.326980i −0.0354659 0.0354659i
\(86\) −1.09224 + 4.07628i −0.117779 + 0.439557i
\(87\) 0.158211 + 0.0913434i 0.0169620 + 0.00979304i
\(88\) −8.57795 4.95248i −0.914413 0.527936i
\(89\) −7.78209 2.08520i −0.824899 0.221031i −0.178412 0.983956i \(-0.557096\pi\)
−0.646487 + 0.762925i \(0.723763\pi\)
\(90\) 0.347518 0.0366316
\(91\) −4.19388 8.56804i −0.439638 0.898175i
\(92\) −0.458047 −0.0477547
\(93\) −0.678596 0.181829i −0.0703671 0.0188548i
\(94\) −3.98161 2.29878i −0.410671 0.237101i
\(95\) 0.364977 + 0.210720i 0.0374459 + 0.0216194i
\(96\) 0.377943 1.41050i 0.0385736 0.143959i
\(97\) −6.04128 6.04128i −0.613399 0.613399i 0.330431 0.943830i \(-0.392806\pi\)
−0.943830 + 0.330431i \(0.892806\pi\)
\(98\) 6.34501 9.13630i 0.640943 0.922905i
\(99\) −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 0.439444 + 0.898270i \(0.355176\pi\)
−0.997647 + 0.0685657i \(0.978158\pi\)
\(102\) −4.48885 + 1.20278i −0.444462 + 0.119093i
\(103\) −4.82752 8.36150i −0.475669 0.823883i 0.523942 0.851754i \(-0.324461\pi\)
−0.999612 + 0.0278704i \(0.991127\pi\)
\(104\) 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 0.879319 + 0.476232i \(0.157998\pi\)
−0.0272305 + 0.999629i \(0.508669\pi\)
\(108\) 0.759825 1.31606i 0.0731142 0.126638i
\(109\) 3.53114 + 13.1784i 0.338222 + 1.26226i 0.900334 + 0.435199i \(0.143322\pi\)
−0.562113 + 0.827061i \(0.690011\pi\)
\(110\) −0.138410 + 0.516553i −0.0131969 + 0.0492514i
\(111\) 1.38933 1.38933i 0.131870 0.131870i
\(112\) 11.4588 + 5.31651i 1.08276 + 0.502363i
\(113\) −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
\(115\) −0.0179771 0.0670914i −0.00167637 0.00625631i
\(116\) 0.164972 + 0.0952466i 0.0153173 + 0.00884343i
\(117\) 9.24635 3.54388i 0.854826 0.327632i
\(118\) 3.52350i 0.324364i
\(119\) −1.36855 15.3032i −0.125455 1.40284i
\(120\) 0.0939853 0.00857964
\(121\) 5.94201 3.43062i 0.540183 0.311875i
\(122\) 6.44484 1.72689i 0.583488 0.156345i
\(123\) 1.42119 + 5.30394i 0.128144 + 0.478240i
\(124\) −0.707593 0.189599i −0.0635438 0.0170265i
\(125\) −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 \(-0.00366952\pi\)
\(128\) −3.53321 + 13.1861i −0.312295 + 1.16550i
\(129\) −0.668709 + 1.15824i −0.0588766 + 0.101977i
\(130\) −0.354412 0.287300i −0.0310840 0.0251979i
\(131\) 0.679285 0.392185i 0.0593494 0.0342654i −0.470032 0.882650i \(-0.655758\pi\)
0.529381 + 0.848384i \(0.322424\pi\)
\(132\) 0.790296 + 0.790296i 0.0687865 + 0.0687865i
\(133\) 4.81451 + 13.1489i 0.417471 + 1.14016i
\(134\) 16.0720i 1.38841i
\(135\) 0.222588 + 0.0596422i 0.0191573 + 0.00513318i
\(136\) 13.1463 3.52253i 1.12728 0.302055i
\(137\) 13.3251 3.57044i 1.13844 0.305044i 0.360115 0.932908i \(-0.382737\pi\)
0.778323 + 0.627864i \(0.216071\pi\)
\(138\) −0.674252 0.180665i −0.0573962 0.0153793i
\(139\) 3.12982i 0.265468i 0.991152 + 0.132734i \(0.0423755\pi\)
−0.991152 + 0.132734i \(0.957624\pi\)
\(140\) 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
\(143\) 1.58499 + 15.1553i 0.132544 + 1.26735i
\(144\) −6.55629 + 11.3558i −0.546358 + 0.946319i
\(145\) −0.00747634 + 0.0279021i −0.000620876 + 0.00231714i
\(146\) 18.9103i 1.56503i
\(147\) 2.69173 2.27635i 0.222010 0.187750i
\(148\) 1.44870 1.44870i 0.119082 0.119082i
\(149\) −3.27187 0.876694i −0.268042 0.0718216i 0.122295 0.992494i \(-0.460975\pi\)
−0.390337 + 0.920672i \(0.627641\pi\)
\(150\) 1.03430 + 3.86004i 0.0844499 + 0.315171i
\(151\) 15.7142 4.21062i 1.27881 0.342655i 0.445408 0.895328i \(-0.353059\pi\)
0.833398 + 0.552673i \(0.186392\pi\)
\(152\) −10.7421 + 6.20195i −0.871299 + 0.503044i
\(153\) 15.9486 1.28937
\(154\) −14.5353 + 10.2195i −1.17129 + 0.823510i
\(155\) 0.111084i 0.00892252i
\(156\) −0.890345 + 0.341245i −0.0712847 + 0.0273215i
\(157\) 16.6451 + 9.61006i 1.32842 + 0.766966i 0.985056 0.172235i \(-0.0550988\pi\)
0.343368 + 0.939201i \(0.388432\pi\)
\(158\) −3.51785 13.1288i −0.279865 1.04447i
\(159\) −4.59536 + 2.65313i −0.364436 + 0.210407i
\(160\) 0.230896 0.0182539
\(161\) 0.971289 2.09345i 0.0765483 0.164987i
\(162\) −7.62026 + 7.62026i −0.598704 + 0.598704i
\(163\) 0.321549 1.20004i 0.0251857 0.0939942i −0.952189 0.305510i \(-0.901173\pi\)
0.977375 + 0.211515i \(0.0678399\pi\)
\(164\) 1.48192 + 5.53059i 0.115718 + 0.431866i
\(165\) −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 −0.365000 0.931007i \(-0.618931\pi\)
0.931007 + 0.365000i \(0.118931\pi\)
\(168\) 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
\(171\) −14.0400 + 3.76200i −1.07366 + 0.287687i
\(172\) −0.697284 + 1.20773i −0.0531674 + 0.0920887i
\(173\) −1.58153 2.73929i −0.120241 0.208264i 0.799621 0.600504i \(-0.205034\pi\)
−0.919863 + 0.392240i \(0.871700\pi\)
\(174\) 0.205274 + 0.205274i 0.0155618 + 0.0155618i
\(175\) −13.1595 + 1.17684i −0.994762 + 0.0889608i
\(176\) −14.2682 14.2682i −1.07550 1.07550i
\(177\) 0.289013 1.07861i 0.0217235 0.0810734i
\(178\) −11.0873 6.40123i −0.831025 0.479793i
\(179\) 5.02551 + 2.90148i 0.375624 + 0.216867i 0.675913 0.736982i \(-0.263750\pi\)
−0.300289 + 0.953848i \(0.597083\pi\)
\(180\) 0.110928 + 0.0297230i 0.00826807 + 0.00221542i
\(181\) −13.7005 −1.01835 −0.509176 0.860662i \(-0.670050\pi\)
−0.509176 + 0.860662i \(0.670050\pi\)
\(182\) −2.91340 14.8761i −0.215955 1.10269i
\(183\) 2.11454 0.156311
\(184\) 1.97465 + 0.529106i 0.145573 + 0.0390062i
\(185\) 0.269053 + 0.155338i 0.0197812 + 0.0114207i
\(186\) −0.966806 0.558186i −0.0708896 0.0409282i
\(187\) −6.35205 + 23.7062i −0.464508 + 1.73357i
\(188\) −1.07432 1.07432i −0.0783526 0.0783526i
\(189\) 4.40367 + 6.26339i 0.320320 + 0.455595i
\(190\) 0.473545 + 0.473545i 0.0343546 + 0.0343546i
\(191\) 4.22861 + 7.32417i 0.305972 + 0.529958i 0.977477 0.211041i \(-0.0676854\pi\)
−0.671506 + 0.740999i \(0.734352\pi\)
\(192\) −1.24423 + 2.15506i −0.0897943 + 0.155528i
\(193\) −0.476941 + 0.127796i −0.0343310 + 0.00919896i −0.275944 0.961174i \(-0.588990\pi\)
0.241613 + 0.970373i \(0.422324\pi\)
\(194\) −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 0.427250 + 0.904133i \(0.359482\pi\)
−0.996628 + 0.0820571i \(0.973851\pi\)
\(200\) −3.02909 11.3047i −0.214189 0.799364i
\(201\) 1.31830 4.91995i 0.0929856 0.347027i
\(202\) −12.6069 + 12.6069i −0.887020 + 0.887020i
\(203\) −0.785137 + 0.552015i −0.0551058 + 0.0387439i
\(204\) −1.53572 −0.107522
\(205\) −0.751920 + 0.434121i −0.0525164 + 0.0303203i
\(206\) −3.97092 14.8197i −0.276667 1.03254i
\(207\) 2.07463 + 1.19779i 0.144197 + 0.0832521i
\(208\) 16.0745 6.16091i 1.11456 0.427182i
\(209\) 22.3675i 1.54719i
\(210\) 0.0709583 0.152939i 0.00489659 0.0105538i
\(211\) 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
\(213\) 2.51576 0.674096i 0.172377 0.0461883i
\(214\) 7.25011 + 27.0578i 0.495607 + 1.84963i
\(215\) −0.204266 0.0547330i −0.0139309 0.00373276i
\(216\) −4.79584 + 4.79584i −0.326316 + 0.326316i
\(217\) 2.36699 2.83193i 0.160682 0.192244i
\(218\) 21.6800i 1.46836i
\(219\) 1.55111 5.78881i 0.104814 0.391172i
\(220\) −0.0883611 + 0.153046i −0.00595730 + 0.0103183i
\(221\) −16.2650 13.1850i −1.09410 0.886922i
\(222\) 2.70391 1.56111i 0.181475 0.104775i
\(223\) 19.3108 + 19.3108i 1.29314 + 1.29314i 0.932832 + 0.360311i \(0.117330\pi\)
0.360311 + 0.932832i \(0.382670\pi\)
\(224\) 5.88633 + 4.91994i 0.393297 + 0.328727i
\(225\) 13.7145i 0.914300i
\(226\) −9.25428 2.47968i −0.615585 0.164946i
\(227\) 3.34823 0.897156i 0.222230 0.0595463i −0.145986 0.989287i \(-0.546635\pi\)
0.368216 + 0.929740i \(0.379969\pi\)
\(228\) 1.35193 0.362248i 0.0895337 0.0239905i
\(229\) 18.6186 + 4.98883i 1.23035 + 0.329671i 0.814715 0.579861i \(-0.196893\pi\)
0.415633 + 0.909532i \(0.363560\pi\)
\(230\) 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 \(-0.720829\pi\)
0.346129 + 0.938187i \(0.387496\pi\)
\(234\) 15.6499 1.63672i 1.02307 0.106996i
\(235\) 0.115194 0.199522i 0.00751444 0.0130154i
\(236\) 0.301363 1.12470i 0.0196171 0.0732119i
\(237\) 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 \(0.148474\pi\)
\(240\) 0.184941 + 0.0495548i 0.0119379 + 0.00319875i
\(241\) −0.578684 2.15968i −0.0372763 0.139117i 0.944780 0.327706i \(-0.106275\pi\)
−0.982056 + 0.188589i \(0.939609\pi\)
\(242\) 10.5314 2.82189i 0.676986 0.181398i
\(243\) −10.4763 + 6.04851i −0.672056 + 0.388012i
\(244\) 2.20490 0.141154
\(245\) 0.457829 + 0.317955i 0.0292496 + 0.0203134i
\(246\) 8.72562i 0.556325i
\(247\) 17.4286 + 7.77049i 1.10896 + 0.494424i
\(248\) 2.83144 + 1.63473i 0.179796 + 0.103805i
\(249\) −0.905754 3.38032i −0.0573998 0.214219i
\(250\) −1.09514 + 0.632281i −0.0692629 + 0.0399890i
\(251\) −24.8342 −1.56752 −0.783759 0.621064i \(-0.786700\pi\)
−0.783759 + 0.621064i \(0.786700\pi\)
\(252\) 2.19459 + 3.12140i 0.138246 + 0.196629i
\(253\) −2.60669 + 2.60669i −0.163881 + 0.163881i
\(254\) 0.106861 0.398810i 0.00670505 0.0250236i
\(255\) −0.0602727 0.224941i −0.00377442 0.0140863i
\(256\) −5.90508 + 10.2279i −0.369067 + 0.639244i
\(257\) 6.67557 + 11.5624i 0.416411 + 0.721244i 0.995575 0.0939662i \(-0.0299546\pi\)
−0.579165 + 0.815210i \(0.696621\pi\)
\(258\) −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
\(262\) 1.20394 0.322596i 0.0743799 0.0199300i
\(263\) 0.211897 0.367017i 0.0130662 0.0226312i −0.859418 0.511273i \(-0.829174\pi\)
0.872485 + 0.488642i \(0.162507\pi\)
\(264\) −2.49409 4.31988i −0.153500 0.265870i
\(265\) −0.593280 0.593280i −0.0364449 0.0364449i
\(266\) 1.98199 + 22.1626i 0.121524 + 1.35888i
\(267\) −2.86897 2.86897i −0.175578 0.175578i
\(268\) 1.37463 5.13019i 0.0839689 0.313376i
\(269\) −12.5697 7.25714i −0.766390 0.442476i 0.0651951 0.997873i \(-0.479233\pi\)
−0.831585 + 0.555397i \(0.812566\pi\)
\(270\) 0.317124 + 0.183092i 0.0192996 + 0.0111426i
\(271\) −19.1090 5.12023i −1.16079 0.311032i −0.373506 0.927628i \(-0.621845\pi\)
−0.787280 + 0.616596i \(0.788511\pi\)
\(272\) 27.7261 1.68114
\(273\) 0.328356 4.79283i 0.0198730 0.290075i
\(274\) 21.9213 1.32432
\(275\) 20.3854 + 5.46224i 1.22928 + 0.329386i
\(276\) −0.199769 0.115337i −0.0120247 0.00694246i
\(277\) −20.5717 11.8771i −1.23603 0.713623i −0.267751 0.963488i \(-0.586281\pi\)
−0.968281 + 0.249865i \(0.919614\pi\)
\(278\) −1.28723 + 4.80401i −0.0772030 + 0.288125i
\(279\) 2.70910 + 2.70910i 0.162190 + 0.162190i
\(280\) −0.207812 + 0.447904i −0.0124191 + 0.0267674i
\(281\) 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 −0.127011 0.991901i \(-0.540538\pi\)
0.922517 0.385956i \(-0.126128\pi\)
\(284\) 2.62326 0.702902i 0.155662 0.0417095i
\(285\) 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
\(291\) −1.11360 4.15600i −0.0652802 0.243629i
\(292\) 1.61739 6.03618i 0.0946505 0.353241i
\(293\) −21.8755 + 21.8755i −1.27798 + 1.27798i −0.336181 + 0.941797i \(0.609136\pi\)
−0.941797 + 0.336181i \(0.890864\pi\)
\(294\) 5.06780 2.38696i 0.295560 0.139210i
\(295\) 0.176566 0.0102801
\(296\) −7.91882 + 4.57193i −0.460272 + 0.265738i
\(297\) −3.16545 11.8136i −0.183678 0.685495i
\(298\) −4.66148 2.69131i −0.270032 0.155903i
\(299\) −1.12555 2.93669i −0.0650925 0.169833i
\(300\) 1.32059i 0.0762443i
\(301\) −4.04121 5.74785i −0.232931 0.331301i
\(302\) 25.8518 1.48760
\(303\) −4.89330 + 2.82515i −0.281113 + 0.162300i
\(304\) −24.4080 + 6.54010i −1.39989 + 0.375100i
\(305\) 0.0865362 + 0.322957i 0.00495505 + 0.0184925i
\(306\) 24.4798 + 6.55934i 1.39942 + 0.374973i
\(307\) −2.49534 + 2.49534i −0.142417 + 0.142417i −0.774720 0.632304i \(-0.782109\pi\)
0.632304 + 0.774720i \(0.282109\pi\)
\(308\) −5.51374 + 2.01887i −0.314174 + 0.115036i
\(309\) 4.86230i 0.276607i
\(310\) 0.0456868 0.170505i 0.00259484 0.00968406i
\(311\) 15.1553 26.2497i 0.859378 1.48849i −0.0131458 0.999914i \(-0.504185\pi\)
0.872523 0.488572i \(-0.162482\pi\)
\(312\) 4.23248 0.442647i 0.239617 0.0250599i
\(313\) 16.8628 9.73575i 0.953143 0.550297i 0.0590869 0.998253i \(-0.481181\pi\)
0.894056 + 0.447956i \(0.147848\pi\)
\(314\) 21.5964 + 21.5964i 1.21876 + 1.21876i
\(315\) −0.371068 + 0.443955i −0.0209073 + 0.0250140i
\(316\) 4.49159i 0.252672i
\(317\) 4.84229 + 1.29749i 0.271970 + 0.0728741i 0.392226 0.919869i \(-0.371705\pi\)
−0.120256 + 0.992743i \(0.538372\pi\)
\(318\) −8.14468 + 2.18236i −0.456731 + 0.122381i
\(319\) 1.48087 0.396799i 0.0829131 0.0222165i
\(320\) −0.380066 0.101838i −0.0212463 0.00569294i
\(321\) 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
\(325\) −11.3381 + 13.9866i −0.628922 + 0.775836i
\(326\) 0.987103 1.70971i 0.0546706 0.0946922i
\(327\) −1.77829 + 6.63667i −0.0983397 + 0.367009i
\(328\) 25.5543i 1.41100i
\(329\) 7.18813 2.63195i 0.396294 0.145104i
\(330\) −0.190434 + 0.190434i −0.0104831 + 0.0104831i
\(331\) −18.5252 4.96381i −1.01824 0.272835i −0.289169 0.957278i \(-0.593379\pi\)
−0.729067 + 0.684443i \(0.760046\pi\)
\(332\) −0.944458 3.52477i −0.0518339 0.193447i
\(333\) −10.3499 + 2.77326i −0.567173 + 0.151974i
\(334\) 14.2353 8.21877i 0.778922 0.449711i
\(335\) 0.805384 0.0440029
\(336\) 3.65888 + 5.20406i 0.199608 + 0.283905i
\(337\) 3.01241i 0.164097i 0.996628 + 0.0820483i \(0.0261462\pi\)
−0.996628 + 0.0820483i \(0.973854\pi\)
\(338\) −17.3135 11.2689i −0.941731 0.612948i
\(339\) −2.62952 1.51815i −0.142816 0.0824548i
\(340\) −0.0628482 0.234553i −0.00340842 0.0127204i
\(341\) −5.10582 + 2.94785i −0.276496 + 0.159635i
\(342\) −23.0974 −1.24897
\(343\) 4.89665 + 17.8612i 0.264394 + 0.964415i
\(344\) 4.40110 4.40110i 0.237291 0.237291i
\(345\) 0.00905332 0.0337874i 0.000487414 0.00181905i
\(346\) −1.30090 4.85503i −0.0699369 0.261008i
\(347\) 4.11910 7.13449i 0.221125 0.382999i −0.734025 0.679122i \(-0.762361\pi\)
0.955150 + 0.296123i \(0.0956939\pi\)
\(348\) 0.0479665 + 0.0830804i 0.00257127 + 0.00445358i
\(349\) 8.06122 8.06122i 0.431507 0.431507i −0.457634 0.889141i \(-0.651303\pi\)
0.889141 + 0.457634i \(0.151303\pi\)
\(350\) −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
\(353\) 16.3265 4.37468i 0.868974 0.232841i 0.203330 0.979110i \(-0.434824\pi\)
0.665644 + 0.746270i \(0.268157\pi\)
\(354\) 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
\(357\) 3.25649 7.01881i 0.172352 0.371475i
\(358\) 6.52042 + 6.52042i 0.344615 + 0.344615i
\(359\) −5.84652 + 21.8195i −0.308568 + 1.15159i 0.621263 + 0.783602i \(0.286620\pi\)
−0.929831 + 0.367988i \(0.880047\pi\)
\(360\) −0.443878 0.256273i −0.0233944 0.0135068i
\(361\) −7.80339 4.50529i −0.410705 0.237120i
\(362\) −21.0292 5.63475i −1.10527 0.296156i
\(363\) 3.45534 0.181358
\(364\) 0.342387 4.99764i 0.0179460 0.261947i
\(365\) 0.947614 0.0496004
\(366\) 3.24564 + 0.869667i 0.169652 + 0.0454582i
\(367\) −22.2369 12.8385i −1.16076 0.670163i −0.209271 0.977858i \(-0.567109\pi\)
−0.951485 + 0.307695i \(0.900442\pi\)
\(368\) 3.60667 + 2.08231i 0.188011 + 0.108548i
\(369\) 7.75040 28.9249i 0.403470 1.50577i
\(370\) 0.349087 + 0.349087i 0.0181481 + 0.0181481i
\(371\) −2.48313 27.7664i −0.128918 1.44156i
\(372\) −0.260863 0.260863i −0.0135251 0.0135251i
\(373\) −8.31200 14.3968i −0.430379 0.745439i 0.566527 0.824043i \(-0.308287\pi\)
−0.996906 + 0.0786048i \(0.974953\pi\)
\(374\) −19.4997 + 33.7745i −1.00831 + 1.74644i
\(375\) −0.387107 + 0.103725i −0.0199901 + 0.00535633i
\(376\) 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
\(382\) 3.47829 + 12.9811i 0.177965 + 0.664173i
\(383\) −6.99065 + 26.0895i −0.357206 + 1.33311i 0.520480 + 0.853874i \(0.325753\pi\)
−0.877686 + 0.479236i \(0.840914\pi\)
\(384\) −4.86124 + 4.86124i −0.248074 + 0.248074i
\(385\) −0.512109 0.728378i −0.0260995 0.0371216i
\(386\) −0.784626 −0.0399364
\(387\) 6.31642 3.64679i 0.321082 0.185377i
\(388\) −1.16118 4.33359i −0.0589501 0.220005i
\(389\) 16.4981 + 9.52520i 0.836488 + 0.482947i 0.856069 0.516862i \(-0.172900\pi\)
−0.0195807 + 0.999808i \(0.506233\pi\)
\(390\) −0.0822283 0.214542i −0.00416379 0.0108638i
\(391\) 5.06536i 0.256166i
\(392\) −14.8418 + 6.99056i −0.749625 + 0.353077i
\(393\) 0.395011 0.0199257
\(394\) −5.40846 + 3.12258i −0.272474 + 0.157313i
\(395\) 0.657896 0.176283i 0.0331024 0.00886975i
\(396\) −1.57752 5.88738i −0.0792732 0.295852i
\(397\) −3.28902 0.881290i −0.165071 0.0442307i 0.175337 0.984508i \(-0.443899\pi\)
−0.340408 + 0.940278i \(0.610565\pi\)
\(398\) −18.0502 + 18.0502i −0.904777 + 0.904777i
\(399\) −1.21115 + 6.94699i −0.0606335 + 0.347784i
\(400\) 23.8422i 1.19211i
\(401\) 9.54948 35.6391i 0.476878 1.77973i −0.137260 0.990535i \(-0.543830\pi\)
0.614138 0.789198i \(-0.289504\pi\)
\(402\) 4.04696 7.00954i 0.201844 0.349604i
\(403\) −0.523180 5.00252i −0.0260614 0.249193i
\(404\) −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
\(408\) 6.62050 + 1.77396i 0.327764 + 0.0878240i
\(409\) 5.42540 1.45373i 0.268269 0.0718824i −0.122177 0.992508i \(-0.538988\pi\)
0.390446 + 0.920626i \(0.372321\pi\)
\(410\) −1.33268 + 0.357091i −0.0658164 + 0.0176354i
\(411\) 6.71055 + 1.79809i 0.331007 + 0.0886931i
\(412\) 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
\(416\) 10.3980 1.08746i 0.509805 0.0533171i
\(417\) −0.788093 + 1.36502i −0.0385931 + 0.0668452i
\(418\) 9.19929 34.3322i 0.449952 1.67924i
\(419\) 17.2554i 0.842980i 0.906833 + 0.421490i \(0.138493\pi\)
−0.906833 + 0.421490i \(0.861507\pi\)
\(420\) 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 \(0.188630\pi\)
\(422\) 32.3173 + 8.65939i 1.57318 + 0.421533i
\(423\) 2.05657 + 7.67523i 0.0999939 + 0.373182i
\(424\) 23.8529 6.39137i 1.15840 0.310392i
\(425\) −25.1137 + 14.4994i −1.21819 + 0.703325i
\(426\) 4.13873 0.200522
\(427\) −4.67548 + 10.0772i −0.226263 + 0.487671i
\(428\) 9.25695i 0.447451i
\(429\) −3.12487 + 7.00884i −0.150870 + 0.338390i
\(430\) −0.291021 0.168021i −0.0140343 0.00810271i
\(431\) −2.11538 7.89471i −0.101894 0.380275i 0.896080 0.443892i \(-0.146403\pi\)
−0.997974 + 0.0636179i \(0.979736\pi\)
\(432\) −11.9658 + 6.90844i −0.575704 + 0.332383i
\(433\) 6.91474 0.332301 0.166151 0.986100i \(-0.446866\pi\)
0.166151 + 0.986100i \(0.446866\pi\)
\(434\) 4.79785 3.37328i 0.230304 0.161923i
\(435\) −0.0102865 + 0.0102865i −0.000493198 + 0.000493198i
\(436\) −1.85428 + 6.92027i −0.0888039 + 0.331421i
\(437\) 1.19483 + 4.45917i 0.0571565 + 0.213311i
\(438\) 4.76164 8.24741i 0.227520 0.394077i
\(439\) 2.14789 + 3.72026i 0.102513 + 0.177558i 0.912719 0.408587i \(-0.133978\pi\)
−0.810206 + 0.586145i \(0.800645\pi\)
\(440\) 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 0.998498 + 0.0547947i \(0.0174504\pi\)
−0.451795 + 0.892122i \(0.649216\pi\)
\(444\) 0.996611 0.267041i 0.0472971 0.0126732i
\(445\) 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
\(448\) −7.51923 10.6947i −0.355250 0.505276i
\(449\) −7.20816 7.20816i −0.340174 0.340174i 0.516259 0.856433i \(-0.327324\pi\)
−0.856433 + 0.516259i \(0.827324\pi\)
\(450\) 5.64050 21.0506i 0.265896 0.992336i
\(451\) 39.9074 + 23.0405i 1.87916 + 1.08494i
\(452\) −2.74188 1.58303i −0.128967 0.0744593i
\(453\) 7.91373 + 2.12048i 0.371820 + 0.0996288i
\(454\) 5.50824 0.258515
\(455\) 0.745456 0.145993i 0.0349475 0.00684427i
\(456\) −6.24664 −0.292526
\(457\) −15.0670 4.03718i −0.704803 0.188851i −0.111422 0.993773i \(-0.535540\pi\)
−0.593381 + 0.804922i \(0.702207\pi\)
\(458\) 26.5261 + 15.3149i 1.23949 + 0.715617i
\(459\) 14.5538 + 8.40262i 0.679312 + 0.392201i
\(460\) 0.00944018 0.0352312i 0.000440151 0.00164266i
\(461\) 10.2849 + 10.2849i 0.479017 + 0.479017i 0.904817 0.425800i \(-0.140007\pi\)
−0.425800 + 0.904817i \(0.640007\pi\)
\(462\) −8.91261 + 0.797048i −0.414652 + 0.0370820i
\(463\) −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
\(466\) −7.93498 + 2.12617i −0.367581 + 0.0984930i
\(467\) −8.90667 15.4268i −0.412152 0.713868i 0.582973 0.812491i \(-0.301889\pi\)
−0.995125 + 0.0986238i \(0.968556\pi\)
\(468\) 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
\(473\) 2.90490 + 10.8412i 0.133567 + 0.498480i
\(474\) 1.77160 6.61169i 0.0813722 0.303685i
\(475\) 18.6881 18.6881i 0.857468 0.857468i
\(476\) 3.39564 7.31874i 0.155639 0.335454i
\(477\) 28.9376 1.32496
\(478\) 13.3425 7.70331i 0.610273 0.352341i
\(479\) 6.55934 + 24.4798i 0.299704 + 1.11851i 0.937409 + 0.348229i \(0.113217\pi\)
−0.637706 + 0.770280i \(0.720116\pi\)
\(480\) 0.100701 + 0.0581399i 0.00459636 + 0.00265371i
\(481\) 12.8480 + 5.72822i 0.585817 + 0.261184i
\(482\) 3.55293i 0.161832i
\(483\) 0.950745 0.668451i 0.0432604 0.0304156i
\(484\) 3.60299 0.163772
\(485\) 0.589181 0.340164i 0.0267533 0.0154460i
\(486\) −18.5679 + 4.97526i −0.842258 + 0.225682i
\(487\) −8.64006 32.2452i −0.391519 1.46117i −0.827630 0.561275i \(-0.810311\pi\)
0.436111 0.899893i \(-0.356355\pi\)
\(488\) −9.50535 2.54695i −0.430287 0.115295i
\(489\) 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 \(0.893923\pi\)
\(492\) −0.746298 + 2.78522i −0.0336457 + 0.125567i
\(493\) −1.05330 + 1.82436i −0.0474381 + 0.0821651i
\(494\) 23.5557 + 19.0951i 1.05982 + 0.859129i
\(495\) 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
\(499\) −9.55534 2.56035i −0.427756 0.114617i 0.0385167 0.999258i \(-0.487737\pi\)
−0.466273 + 0.884641i \(0.654403\pi\)
\(500\) −0.403649 + 0.108157i −0.0180517 + 0.00483694i
\(501\) 5.03185 1.34828i 0.224806 0.0602367i
\(502\) −38.1184 10.2138i −1.70131 0.455864i
\(503\) 32.9620i 1.46970i −0.678229 0.734851i \(-0.737252\pi\)
0.678229 0.734851i \(-0.262748\pi\)
\(504\) −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
\(507\) −4.37567 4.86976i −0.194331 0.216274i
\(508\) 0.0682200 0.118161i 0.00302678 0.00524253i
\(509\) 8.92421 33.3056i 0.395559 1.47624i −0.425268 0.905067i \(-0.639820\pi\)
0.820827 0.571177i \(-0.193513\pi\)
\(510\) 0.370054i 0.0163863i
\(511\) 24.1580 + 20.1918i 1.06869 + 0.893233i
\(512\) 6.03549 6.03549i 0.266733 0.266733i
\(513\) −14.7941 3.96406i −0.653174 0.175018i
\(514\) 5.49105 + 20.4929i 0.242200 + 0.903903i
\(515\) 0.742629 0.198987i 0.0327241 0.00876840i
\(516\) −0.608217 + 0.351154i −0.0267753 + 0.0154587i
\(517\) −12.2276 −0.537770
\(518\) 1.46108 + 16.3378i 0.0641960 + 0.717841i
\(519\) 1.59292i 0.0699216i
\(520\) 0.240818 + 0.628320i 0.0105606 + 0.0275536i
\(521\) −28.0062 16.1694i −1.22697 0.708393i −0.260577 0.965453i \(-0.583913\pi\)
−0.966395 + 0.257060i \(0.917246\pi\)
\(522\) −0.409749 1.52920i −0.0179342 0.0669314i
\(523\) −16.8623 + 9.73548i −0.737339 + 0.425703i −0.821101 0.570783i \(-0.806640\pi\)
0.0837622 + 0.996486i \(0.473306\pi\)
\(524\) 0.411891 0.0179935
\(525\) −6.03561 2.80031i −0.263415 0.122216i
\(526\) 0.476192 0.476192i 0.0207629 0.0207629i
\(527\) 2.09670 7.82500i 0.0913338 0.340863i
\(528\) −2.63007 9.81556i −0.114459 0.427167i
\(529\) −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
\(535\) −1.35589 + 0.363310i −0.0586203 + 0.0157073i
\(536\) −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
\(539\) 2.46488 29.4809i 0.106170 1.26983i
\(540\) 0.0855664 + 0.0855664i 0.00368219 + 0.00368219i
\(541\) −1.98308 + 7.40097i −0.0852594 + 0.318193i −0.995363 0.0961879i \(-0.969335\pi\)
0.910104 + 0.414380i \(0.136002\pi\)
\(542\) −27.2248 15.7183i −1.16941 0.675157i
\(543\) −5.97525 3.44981i −0.256423 0.148046i
\(544\) 16.2647 + 4.35812i 0.697345 + 0.186853i
\(545\) −1.08641 −0.0465366
\(546\) 2.47519 7.22156i 0.105929 0.309054i
\(547\) −17.3075 −0.740016 −0.370008 0.929029i \(-0.620645\pi\)
−0.370008 + 0.929029i \(0.620645\pi\)
\(548\) 6.99730 + 1.87492i 0.298910 + 0.0800927i
\(549\) −9.98663 5.76578i −0.426219 0.246078i
\(550\) 29.0433 + 16.7682i 1.23841 + 0.714998i
\(551\) 0.496908 1.85449i 0.0211690 0.0790037i
\(552\) 0.727980 + 0.727980i 0.0309849 + 0.0309849i
\(553\) 20.5283 + 9.52443i 0.872952 + 0.405020i
\(554\) −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
\(557\) −16.0740 + 4.30702i −0.681078 + 0.182494i −0.582740 0.812659i \(-0.698019\pi\)
−0.0983379 + 0.995153i \(0.531353\pi\)
\(558\) 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 \(-0.807081\pi\)
0.904272 + 0.426957i \(0.140415\pi\)
\(564\) −0.198030 0.739059i −0.00833858 0.0311200i
\(565\) 0.124259 0.463741i 0.00522762 0.0195097i
\(566\) 30.0741 30.0741i 1.26411 1.26411i
\(567\) −1.59824 17.8716i −0.0671198 0.750536i
\(568\) −12.1209 −0.508581
\(569\) −2.28143 + 1.31718i −0.0956424 + 0.0552192i −0.547058 0.837094i \(-0.684252\pi\)
0.451416 + 0.892314i \(0.350919\pi\)
\(570\) 0.0872893 + 0.325768i 0.00365615 + 0.0136449i
\(571\) −16.2796 9.39903i −0.681280 0.393337i 0.119057 0.992887i \(-0.462013\pi\)
−0.800337 + 0.599550i \(0.795346\pi\)
\(572\) −3.25840 + 7.30834i −0.136240 + 0.305577i
\(573\) 4.25908i 0.177926i
\(574\) −41.5836 19.2933i −1.73566 0.805288i
\(575\) −4.35580 −0.181649
\(576\) 11.7526 6.78535i 0.489690 0.282723i
\(577\) 43.2935 11.6005i 1.80233 0.482934i 0.807994 0.589190i \(-0.200553\pi\)
0.994339 + 0.106257i \(0.0338865\pi\)
\(578\) −6.87775 25.6681i −0.286076 1.06765i
\(579\) −0.240189 0.0643585i −0.00998192 0.00267465i
\(580\) −0.0107260 + 0.0107260i −0.000445374 + 0.000445374i
\(581\) 18.1123 + 3.15773i 0.751423 + 0.131005i
\(582\) 6.83712i 0.283408i
\(583\) −11.5253 + 43.0130i −0.477330 + 1.78142i
\(584\) −13.9452 + 24.1538i −0.577056 + 0.999491i
\(585\) 0.0820177 + 0.784233i 0.00339101 + 0.0324240i
\(586\) −42.5740 + 24.5801i −1.75872 + 1.01539i
\(587\) −21.2468 21.2468i −0.876947 0.876947i 0.116270 0.993218i \(-0.462906\pi\)
−0.993218 + 0.116270i \(0.962906\pi\)
\(588\) 1.82180 0.328471i 0.0751297 0.0135459i
\(589\) 7.38312i 0.304216i
\(590\) 0.271014 + 0.0726180i 0.0111575 + 0.00298964i
\(591\) −1.91176 + 0.512255i −0.0786394 + 0.0210714i
\(592\) −17.9930 + 4.82121i −0.739508 + 0.198151i
\(593\) 34.9791 + 9.37263i 1.43642 + 0.384888i 0.891279 0.453456i \(-0.149809\pi\)
0.545142 + 0.838344i \(0.316476\pi\)
\(594\) 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
\(598\) −0.519831 4.97050i −0.0212575 0.203259i
\(599\) 1.01128 1.75158i 0.0413196 0.0715677i −0.844626 0.535357i \(-0.820177\pi\)
0.885946 + 0.463789i \(0.153510\pi\)
\(600\) 1.52546 5.69309i 0.0622766 0.232419i
\(601\) 16.8573i 0.687623i −0.939039 0.343811i \(-0.888282\pi\)
0.939039 0.343811i \(-0.111718\pi\)
\(602\) −3.83894 10.4845i −0.156464 0.427318i
\(603\) −19.6415 + 19.6415i −0.799865 + 0.799865i
\(604\) 8.25190 + 2.21109i 0.335765 + 0.0899680i
\(605\) 0.141408 + 0.527741i 0.00574904 + 0.0214557i
\(606\) −8.67274 + 2.32385i −0.352306 + 0.0944001i
\(607\) 20.1392 11.6274i 0.817424 0.471940i −0.0321030 0.999485i \(-0.510220\pi\)
0.849528 + 0.527544i \(0.176887\pi\)
\(608\) −15.3463 −0.622373
\(609\) −0.481422 + 0.0430533i −0.0195082 + 0.00174461i
\(610\) 0.531303i 0.0215118i
\(611\) 4.24789 9.52771i 0.171851 0.385450i
\(612\) 7.25295 + 4.18749i 0.293183 + 0.169269i
\(613\) −0.603323 2.25163i −0.0243680 0.0909426i 0.952671 0.304003i \(-0.0983234\pi\)
−0.977039 + 0.213061i \(0.931657\pi\)
\(614\) −4.85642 + 2.80386i −0.195989 + 0.113155i
\(615\) −0.437249 −0.0176316
\(616\) 26.1019 2.33427i 1.05168 0.0940506i
\(617\) −8.67485 + 8.67485i −0.349236 + 0.349236i −0.859825 0.510589i \(-0.829428\pi\)
0.510589 + 0.859825i \(0.329428\pi\)
\(618\) 1.99977 7.46323i 0.0804424 0.300215i
\(619\) 6.89158 + 25.7197i 0.276996 + 1.03376i 0.954492 + 0.298237i \(0.0963986\pi\)
−0.677496 + 0.735527i \(0.736935\pi\)
\(620\) 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
\(626\) 29.8871 8.00824i 1.19453 0.320074i
\(627\) 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
\(630\) −0.752148 + 0.528821i −0.0299663 + 0.0210687i
\(631\) −2.58488 2.58488i −0.102903 0.102903i 0.653781 0.756684i \(-0.273182\pi\)
−0.756684 + 0.653781i \(0.773182\pi\)
\(632\) −5.18839 + 19.3633i −0.206383 + 0.770232i
\(633\) 9.18267 + 5.30162i 0.364978 + 0.210720i
\(634\) 6.89888 + 3.98307i 0.273989 + 0.158188i
\(635\) 0.0199848 + 0.00535490i 0.000793071 + 0.000212503i
\(636\) −2.78644 −0.110490
\(637\) 22.1151 + 12.1623i 0.876232 + 0.481889i
\(638\) 2.43622 0.0964507
\(639\) −13.7196 3.67616i −0.542740 0.145427i
\(640\) −0.941409 0.543523i −0.0372125 0.0214846i
\(641\) 26.8165 + 15.4825i 1.05919 + 0.611523i 0.925208 0.379461i \(-0.123891\pi\)
0.133981 + 0.990984i \(0.457224\pi\)
\(642\) −3.65118 + 13.6264i −0.144100 + 0.537790i
\(643\) 9.81258 + 9.81258i 0.386970 + 0.386970i 0.873605 0.486635i \(-0.161776\pi\)
−0.486635 + 0.873605i \(0.661776\pi\)
\(644\) 0.991372 0.697015i 0.0390655 0.0274662i
\(645\) −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 −0.458720 0.888581i \(-0.651692\pi\)
0.998894 0.0470275i \(-0.0149748\pi\)
\(648\) 15.3527 4.11374i 0.603111 0.161603i
\(649\) −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 0.749930 0.661518i \(-0.230087\pi\)
−0.947856 + 0.318699i \(0.896754\pi\)
\(654\) −5.45906 + 9.45537i −0.213466 + 0.369734i
\(655\) 0.0161656 + 0.0603308i 0.000631642 + 0.00235732i
\(656\) 13.4738 50.2849i 0.526063 1.96330i
\(657\) −23.1102 + 23.1102i −0.901615 + 0.901615i
\(658\) 12.1157 1.08349i 0.472317 0.0422390i
\(659\) 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
\(661\) −6.57200 24.5270i −0.255621 0.953992i −0.967744 0.251936i \(-0.918933\pi\)
0.712123 0.702055i \(-0.247734\pi\)
\(662\) −26.3931 15.2381i −1.02580 0.592244i
\(663\) −3.77370 9.84599i −0.146558 0.382386i
\(664\) 16.2863i 0.632032i
\(665\) −1.11059 + 0.0993194i −0.0430669 + 0.00385144i
\(666\) −17.0269 −0.659778
\(667\) −0.274030 + 0.158211i −0.0106105 + 0.00612597i
\(668\) 5.24687 1.40589i 0.203007 0.0543957i
\(669\) 3.55958 + 13.2845i 0.137621 + 0.513610i
\(670\) 1.23620 + 0.331238i 0.0477585 + 0.0127969i
\(671\) 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 \(-0.131986\pi\)
\(674\) −1.23894 + 4.62380i −0.0477224 + 0.178102i
\(675\) 7.22557 12.5150i 0.278112 0.481704i
\(676\) −4.56265 5.07785i −0.175487 0.195302i
\(677\) −13.6905 + 7.90421i −0.526169 + 0.303784i −0.739455 0.673206i \(-0.764917\pi\)
0.213286 + 0.976990i \(0.431583\pi\)
\(678\) −3.41171 3.41171i −0.131026 0.131026i
\(679\) 22.2685 + 3.88234i 0.854586 + 0.148990i
\(680\) 1.08376i 0.0415603i
\(681\) 1.68618 + 0.451810i 0.0646145 + 0.0173134i
\(682\) −9.04940 + 2.42478i −0.346520 + 0.0928496i
\(683\) −11.2605 + 3.01723i −0.430870 + 0.115451i −0.467734 0.883869i \(-0.654930\pi\)
0.0368647 + 0.999320i \(0.488263\pi\)
\(684\) −7.37271 1.97551i −0.281902 0.0755355i
\(685\) 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
\(689\) −29.5117 23.9233i −1.12430 0.911403i
\(690\) 0.0277922 0.0481375i 0.00105803 0.00183256i
\(691\) −2.70856 + 10.1085i −0.103038 + 0.384545i −0.998115 0.0613673i \(-0.980454\pi\)
0.895077 + 0.445912i \(0.147121\pi\)
\(692\) 1.66099i 0.0631415i
\(693\) 30.2527 + 5.27432i 1.14921 + 0.200355i
\(694\) 9.25675 9.25675i 0.351381 0.351381i
\(695\) −0.240734 0.0645044i −0.00913155 0.00244679i
\(696\) −0.110815 0.413569i −0.00420045 0.0156763i
\(697\) −61.1607 + 16.3880i −2.31663 + 0.620738i
\(698\) 15.6887 9.05789i 0.593827 0.342846i
\(699\) −2.60345 −0.0984716
\(700\) −6.29352 2.91998i −0.237873 0.110365i
\(701\) 36.2902i 1.37066i 0.728232 + 0.685331i \(0.240343\pi\)
−0.728232 + 0.685331i \(0.759657\pi\)
\(702\) 15.1435 + 6.75167i 0.571555 + 0.254826i
\(703\) −17.8823 10.3244i −0.674445 0.389391i
\(704\) 5.40497 + 20.1716i 0.203707 + 0.760246i
\(705\) 0.100480 0.0580122i 0.00378430 0.00218486i
\(706\) 26.8591 1.01086
\(707\) −2.64412 29.5666i −0.0994425 1.11197i
\(708\) 0.414636 0.414636i 0.0155830 0.0155830i
\(709\) 1.66812 6.22549i 0.0626474 0.233803i −0.927502 0.373818i \(-0.878048\pi\)
0.990149 + 0.140015i \(0.0447151\pi\)
\(710\) 0.169375 + 0.632116i 0.00635653 + 0.0237229i
\(711\) −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
\(717\) 4.71627 1.26372i 0.176132 0.0471945i
\(718\) −17.9479 + 31.0866i −0.669808 + 1.16014i
\(719\) 2.59436 + 4.49357i 0.0967533 + 0.167582i 0.910339 0.413863i \(-0.135821\pi\)
−0.813586 + 0.581445i \(0.802488\pi\)
\(720\) −0.738325 0.738325i −0.0275158 0.0275158i
\(721\) 23.1722 + 10.7511i 0.862978 + 0.400392i
\(722\) −10.1246 10.1246i −0.376799 0.376799i
\(723\) 0.291427 1.08762i 0.0108383 0.0404491i
\(724\) −6.23059 3.59723i −0.231558 0.133690i
\(725\) 1.56880 + 0.905748i 0.0582639 + 0.0336387i
\(726\) 5.30366 + 1.42111i 0.196837 + 0.0527424i
\(727\) 23.5345 0.872848 0.436424 0.899741i \(-0.356245\pi\)
0.436424 + 0.899741i \(0.356245\pi\)
\(728\) −7.24898 + 21.1494i −0.268665 + 0.783849i
\(729\) 14.2532 0.527898
\(730\) 1.45451 + 0.389735i 0.0538338 + 0.0144247i
\(731\) −13.3558 7.71100i −0.493984 0.285202i
\(732\) 0.961628 + 0.555196i 0.0355428 + 0.0205206i
\(733\) −0.491030 + 1.83255i −0.0181366 + 0.0676867i −0.974401 0.224817i \(-0.927822\pi\)
0.956264 + 0.292503i \(0.0944883\pi\)
\(734\) −28.8516 28.8516i −1.06493 1.06493i
\(735\) 0.119613 + 0.253953i 0.00441198 + 0.00936718i
\(736\) 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
\(739\) −6.31322 + 1.69162i −0.232236 + 0.0622274i −0.373060 0.927807i \(-0.621691\pi\)
0.140824 + 0.990035i \(0.455025\pi\)
\(740\) 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
\(746\) −6.83712 25.5165i −0.250325 0.934225i
\(747\) −4.93950 + 18.4345i −0.180727 + 0.674482i
\(748\) −9.11304 + 9.11304i −0.333206 + 0.333206i
\(749\) −42.3078 19.6294i −1.54589 0.717241i
\(750\) −0.636837 −0.0232540
\(751\) −35.4951 + 20.4931i −1.29524 + 0.747805i −0.979577 0.201068i \(-0.935559\pi\)
−0.315659 + 0.948873i \(0.602225\pi\)
\(752\) 3.57528 + 13.3431i 0.130377 + 0.486573i
\(753\) −10.8310 6.25328i −0.394704 0.227882i
\(754\) −0.846344 + 1.89829i −0.0308220 + 0.0691316i
\(755\) 1.29546i 0.0471466i
\(756\) 0.358132 + 4.00464i 0.0130251 + 0.145647i
\(757\) −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
\(759\) −1.79323 + 0.480496i −0.0650903 + 0.0174409i
\(760\) −0.255640 0.954061i −0.00927303 0.0346074i
\(761\) 27.4299 + 7.34981i 0.994332 + 0.266430i 0.719069 0.694939i \(-0.244568\pi\)
0.275263 + 0.961369i \(0.411235\pi\)
\(762\) 0.147027 0.147027i 0.00532621 0.00532621i
\(763\) −27.6963 23.1492i −1.00267 0.838058i
\(764\) 4.44108i 0.160673i
\(765\) −0.328695 + 1.22671i −0.0118840 + 0.0443517i
\(766\) −21.4601 + 37.1701i −0.775387 + 1.34301i
\(767\) 7.95138 0.831581i 0.287108 0.0300267i
\(768\) −5.15080 + 2.97382i −0.185864 + 0.107308i
\(769\) 20.7240 + 20.7240i 0.747328 + 0.747328i 0.973977 0.226649i \(-0.0727770\pi\)
−0.226649 + 0.973977i \(0.572777\pi\)
\(770\) −0.486477 1.32862i −0.0175314 0.0478802i
\(771\) 6.72367i 0.242147i
\(772\) −0.250453 0.0671086i −0.00901399 0.00241529i
\(773\) 5.88696 1.57741i 0.211739