Properties

Label 546.2.bg.b.311.14
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.14
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.b.467.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.24618 - 1.20292i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0916492 + 0.0529137i) q^{5} +(1.66485 + 0.477766i) q^{6} +(2.29863 + 1.31008i) q^{7} -1.00000 q^{8} +(0.105953 - 2.99813i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.24618 - 1.20292i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0916492 + 0.0529137i) q^{5} +(1.66485 + 0.477766i) q^{6} +(2.29863 + 1.31008i) q^{7} -1.00000 q^{8} +(0.105953 - 2.99813i) q^{9} +(-0.0916492 - 0.0529137i) q^{10} +(-0.603696 + 1.04563i) q^{11} +(0.418670 + 1.68069i) q^{12} +(3.60130 - 0.175001i) q^{13} +(0.0147545 + 2.64571i) q^{14} +(-0.0505607 + 0.176187i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.14124 - 1.97669i) q^{17} +(2.64943 - 1.40731i) q^{18} +(1.82371 + 3.15875i) q^{19} -0.105827i q^{20} +(4.44044 - 1.13248i) q^{21} -1.20739 q^{22} +(0.845930 - 0.488398i) q^{23} +(-1.24618 + 1.20292i) q^{24} +(-2.49440 + 4.32043i) q^{25} +(1.95221 + 3.03132i) q^{26} +(-3.47448 - 3.86367i) q^{27} +(-2.28387 + 1.33563i) q^{28} -7.03811i q^{29} +(-0.177863 + 0.0443067i) q^{30} +(-0.610707 + 1.05778i) q^{31} +(0.500000 - 0.866025i) q^{32} +(0.505498 + 2.02925i) q^{33} +2.28248 q^{34} +(-0.279988 + 0.00156143i) q^{35} +(2.54348 + 1.59082i) q^{36} +(-2.01173 + 1.16147i) q^{37} +(-1.82371 + 3.15875i) q^{38} +(4.27738 - 4.55017i) q^{39} +(0.0916492 - 0.0529137i) q^{40} -0.417669i q^{41} +(3.20097 + 3.27929i) q^{42} +4.90433 q^{43} +(-0.603696 - 1.04563i) q^{44} +(0.148932 + 0.280382i) q^{45} +(0.845930 + 0.488398i) q^{46} +(-1.47958 + 0.854236i) q^{47} +(-1.66485 - 0.477766i) q^{48} +(3.56739 + 6.02276i) q^{49} -4.98880 q^{50} +(-0.955606 - 3.83614i) q^{51} +(-1.64910 + 3.20632i) q^{52} +(-1.77421 - 1.02434i) q^{53} +(1.60880 - 4.94083i) q^{54} -0.127775i q^{55} +(-2.29863 - 1.31008i) q^{56} +(6.07241 + 1.74261i) q^{57} +(6.09518 - 3.51906i) q^{58} +(-9.04020 - 5.21936i) q^{59} +(-0.127302 - 0.131880i) q^{60} +(-8.67338 + 5.00758i) q^{61} -1.22141 q^{62} +(4.17133 - 6.75278i) q^{63} +1.00000 q^{64} +(-0.320796 + 0.206597i) q^{65} +(-1.50463 + 1.45240i) q^{66} +(-5.65318 - 3.26387i) q^{67} +(1.14124 + 1.97669i) q^{68} +(0.466680 - 1.62622i) q^{69} +(-0.141346 - 0.241696i) q^{70} -2.72046 q^{71} +(-0.105953 + 2.99813i) q^{72} +(3.72258 - 6.44769i) q^{73} +(-2.01173 - 1.16147i) q^{74} +(2.08866 + 8.38462i) q^{75} -3.64741 q^{76} +(-2.75753 + 1.61263i) q^{77} +(6.07925 + 1.42923i) q^{78} +(-5.04911 - 8.74532i) q^{79} +(0.0916492 + 0.0529137i) q^{80} +(-8.97755 - 0.635319i) q^{81} +(0.361712 - 0.208835i) q^{82} +11.6784i q^{83} +(-1.23947 + 4.41177i) q^{84} +0.241549i q^{85} +(2.45216 + 4.24727i) q^{86} +(-8.46631 - 8.77079i) q^{87} +(0.603696 - 1.04563i) q^{88} +(-14.7044 + 8.48960i) q^{89} +(-0.168352 + 0.269170i) q^{90} +(8.50732 + 4.31572i) q^{91} +0.976796i q^{92} +(0.511369 + 2.05282i) q^{93} +(-1.47958 - 0.854236i) q^{94} +(-0.334282 - 0.192998i) q^{95} +(-0.418670 - 1.68069i) q^{96} -8.85297 q^{97} +(-3.43217 + 6.10084i) q^{98} +(3.07098 + 1.92075i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q + 18q^{2} - 18q^{4} - 36q^{8} + 4q^{9} + 14q^{15} - 18q^{16} - 4q^{18} - 23q^{21} + 14q^{25} + 6q^{26} + 7q^{30} + 18q^{32} - 24q^{33} - 8q^{36} + 10q^{39} - 16q^{42} - 16q^{43} + 9q^{45} - 72q^{47} + 12q^{49} + 28q^{50} - 3q^{51} + 6q^{52} - 9q^{54} + 8q^{57} - 24q^{59} - 7q^{60} - 36q^{61} + 39q^{63} + 36q^{64} - 18q^{65} - 24q^{66} + 72q^{71} - 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} + 7q^{84} - 8q^{86} - 24q^{87} + 72q^{89} - 2q^{91} + 14q^{93} - 72q^{94} + 12q^{98} - 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.24618 1.20292i 0.719485 0.694508i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.0916492 + 0.0529137i −0.0409868 + 0.0236637i −0.520353 0.853951i \(-0.674200\pi\)
0.479367 + 0.877615i \(0.340866\pi\)
\(6\) 1.66485 + 0.477766i 0.679674 + 0.195047i
\(7\) 2.29863 + 1.31008i 0.868800 + 0.495163i
\(8\) −1.00000 −0.353553
\(9\) 0.105953 2.99813i 0.0353175 0.999376i
\(10\) −0.0916492 0.0529137i −0.0289820 0.0167328i
\(11\) −0.603696 + 1.04563i −0.182021 + 0.315270i −0.942569 0.334012i \(-0.891597\pi\)
0.760547 + 0.649282i \(0.224931\pi\)
\(12\) 0.418670 + 1.68069i 0.120859 + 0.485173i
\(13\) 3.60130 0.175001i 0.998821 0.0485364i
\(14\) 0.0147545 + 2.64571i 0.00394331 + 0.707096i
\(15\) −0.0505607 + 0.176187i −0.0130547 + 0.0454913i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.14124 1.97669i 0.276792 0.479417i −0.693794 0.720174i \(-0.744062\pi\)
0.970586 + 0.240756i \(0.0773955\pi\)
\(18\) 2.64943 1.40731i 0.624477 0.331705i
\(19\) 1.82371 + 3.15875i 0.418387 + 0.724667i 0.995777 0.0918008i \(-0.0292623\pi\)
−0.577390 + 0.816468i \(0.695929\pi\)
\(20\) 0.105827i 0.0236637i
\(21\) 4.44044 1.13248i 0.968983 0.247127i
\(22\) −1.20739 −0.257417
\(23\) 0.845930 0.488398i 0.176389 0.101838i −0.409206 0.912442i \(-0.634194\pi\)
0.585595 + 0.810604i \(0.300861\pi\)
\(24\) −1.24618 + 1.20292i −0.254376 + 0.245546i
\(25\) −2.49440 + 4.32043i −0.498880 + 0.864086i
\(26\) 1.95221 + 3.03132i 0.382859 + 0.594490i
\(27\) −3.47448 3.86367i −0.668664 0.743565i
\(28\) −2.28387 + 1.33563i −0.431612 + 0.252411i
\(29\) 7.03811i 1.30694i −0.756951 0.653472i \(-0.773312\pi\)
0.756951 0.653472i \(-0.226688\pi\)
\(30\) −0.177863 + 0.0443067i −0.0324732 + 0.00808926i
\(31\) −0.610707 + 1.05778i −0.109686 + 0.189982i −0.915643 0.401992i \(-0.868318\pi\)
0.805957 + 0.591974i \(0.201651\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 0.505498 + 2.02925i 0.0879960 + 0.353247i
\(34\) 2.28248 0.391442
\(35\) −0.279988 + 0.00156143i −0.0473267 + 0.000263930i
\(36\) 2.54348 + 1.59082i 0.423913 + 0.265137i
\(37\) −2.01173 + 1.16147i −0.330726 + 0.190945i −0.656163 0.754619i \(-0.727822\pi\)
0.325438 + 0.945564i \(0.394488\pi\)
\(38\) −1.82371 + 3.15875i −0.295844 + 0.512417i
\(39\) 4.27738 4.55017i 0.684928 0.728611i
\(40\) 0.0916492 0.0529137i 0.0144910 0.00836639i
\(41\) 0.417669i 0.0652290i −0.999468 0.0326145i \(-0.989617\pi\)
0.999468 0.0326145i \(-0.0103834\pi\)
\(42\) 3.20097 + 3.27929i 0.493921 + 0.506006i
\(43\) 4.90433 0.747903 0.373951 0.927448i \(-0.378003\pi\)
0.373951 + 0.927448i \(0.378003\pi\)
\(44\) −0.603696 1.04563i −0.0910106 0.157635i
\(45\) 0.148932 + 0.280382i 0.0222014 + 0.0417969i
\(46\) 0.845930 + 0.488398i 0.124726 + 0.0720104i
\(47\) −1.47958 + 0.854236i −0.215819 + 0.124603i −0.604013 0.796975i \(-0.706432\pi\)
0.388194 + 0.921578i \(0.373099\pi\)
\(48\) −1.66485 0.477766i −0.240301 0.0689596i
\(49\) 3.56739 + 6.02276i 0.509628 + 0.860395i
\(50\) −4.98880 −0.705523
\(51\) −0.955606 3.83614i −0.133812 0.537167i
\(52\) −1.64910 + 3.20632i −0.228688 + 0.444636i
\(53\) −1.77421 1.02434i −0.243706 0.140704i 0.373173 0.927762i \(-0.378270\pi\)
−0.616879 + 0.787058i \(0.711603\pi\)
\(54\) 1.60880 4.94083i 0.218930 0.672361i
\(55\) 0.127775i 0.0172292i
\(56\) −2.29863 1.31008i −0.307167 0.175066i
\(57\) 6.07241 + 1.74261i 0.804310 + 0.230814i
\(58\) 6.09518 3.51906i 0.800337 0.462075i
\(59\) −9.04020 5.21936i −1.17693 0.679503i −0.221631 0.975131i \(-0.571138\pi\)
−0.955303 + 0.295628i \(0.904471\pi\)
\(60\) −0.127302 0.131880i −0.0164346 0.0170257i
\(61\) −8.67338 + 5.00758i −1.11051 + 0.641154i −0.938962 0.344021i \(-0.888211\pi\)
−0.171550 + 0.985175i \(0.554878\pi\)
\(62\) −1.22141 −0.155120
\(63\) 4.17133 6.75278i 0.525538 0.850770i
\(64\) 1.00000 0.125000
\(65\) −0.320796 + 0.206597i −0.0397899 + 0.0256252i
\(66\) −1.50463 + 1.45240i −0.185208 + 0.178778i
\(67\) −5.65318 3.26387i −0.690646 0.398745i 0.113208 0.993571i \(-0.463887\pi\)
−0.803854 + 0.594827i \(0.797221\pi\)
\(68\) 1.14124 + 1.97669i 0.138396 + 0.239709i
\(69\) 0.466680 1.62622i 0.0561817 0.195774i
\(70\) −0.141346 0.241696i −0.0168941 0.0288882i
\(71\) −2.72046 −0.322859 −0.161430 0.986884i \(-0.551610\pi\)
−0.161430 + 0.986884i \(0.551610\pi\)
\(72\) −0.105953 + 2.99813i −0.0124866 + 0.353333i
\(73\) 3.72258 6.44769i 0.435695 0.754645i −0.561658 0.827370i \(-0.689836\pi\)
0.997352 + 0.0727248i \(0.0231695\pi\)
\(74\) −2.01173 1.16147i −0.233858 0.135018i
\(75\) 2.08866 + 8.38462i 0.241178 + 0.968173i
\(76\) −3.64741 −0.418387
\(77\) −2.75753 + 1.61263i −0.314250 + 0.183777i
\(78\) 6.07925 + 1.42923i 0.688340 + 0.161828i
\(79\) −5.04911 8.74532i −0.568069 0.983925i −0.996757 0.0804722i \(-0.974357\pi\)
0.428687 0.903453i \(-0.358976\pi\)
\(80\) 0.0916492 + 0.0529137i 0.0102467 + 0.00591593i
\(81\) −8.97755 0.635319i −0.997505 0.0705910i
\(82\) 0.361712 0.208835i 0.0399444 0.0230619i
\(83\) 11.6784i 1.28188i 0.767593 + 0.640938i \(0.221454\pi\)
−0.767593 + 0.640938i \(0.778546\pi\)
\(84\) −1.23947 + 4.41177i −0.135237 + 0.481364i
\(85\) 0.241549i 0.0261997i
\(86\) 2.45216 + 4.24727i 0.264424 + 0.457995i
\(87\) −8.46631 8.77079i −0.907683 0.940327i
\(88\) 0.603696 1.04563i 0.0643542 0.111465i
\(89\) −14.7044 + 8.48960i −1.55867 + 0.899896i −0.561281 + 0.827626i \(0.689691\pi\)
−0.997385 + 0.0722705i \(0.976976\pi\)
\(90\) −0.168352 + 0.269170i −0.0177459 + 0.0283730i
\(91\) 8.50732 + 4.31572i 0.891810 + 0.452411i
\(92\) 0.976796i 0.101838i
\(93\) 0.511369 + 2.05282i 0.0530264 + 0.212867i
\(94\) −1.47958 0.854236i −0.152607 0.0881077i
\(95\) −0.334282 0.192998i −0.0342966 0.0198012i
\(96\) −0.418670 1.68069i −0.0427303 0.171535i
\(97\) −8.85297 −0.898883 −0.449441 0.893310i \(-0.648377\pi\)
−0.449441 + 0.893310i \(0.648377\pi\)
\(98\) −3.43217 + 6.10084i −0.346701 + 0.616278i
\(99\) 3.07098 + 1.92075i 0.308645 + 0.193042i
\(100\) −2.49440 4.32043i −0.249440 0.432043i
\(101\) −5.84190 + 10.1185i −0.581291 + 1.00682i 0.414036 + 0.910260i \(0.364119\pi\)
−0.995327 + 0.0965644i \(0.969215\pi\)
\(102\) 2.84439 2.74565i 0.281637 0.271860i
\(103\) −0.999136 + 0.576851i −0.0984478 + 0.0568388i −0.548416 0.836206i \(-0.684769\pi\)
0.449968 + 0.893045i \(0.351435\pi\)
\(104\) −3.60130 + 0.175001i −0.353137 + 0.0171602i
\(105\) −0.347039 + 0.338750i −0.0338675 + 0.0330587i
\(106\) 2.04868i 0.198985i
\(107\) 10.5362 6.08311i 1.01858 0.588076i 0.104886 0.994484i \(-0.466552\pi\)
0.913692 + 0.406408i \(0.133219\pi\)
\(108\) 5.08328 1.07715i 0.489139 0.103649i
\(109\) −6.24015 3.60275i −0.597698 0.345081i 0.170437 0.985368i \(-0.445482\pi\)
−0.768135 + 0.640287i \(0.778815\pi\)
\(110\) 0.110657 0.0638876i 0.0105507 0.00609144i
\(111\) −1.10982 + 3.86736i −0.105340 + 0.367073i
\(112\) −0.0147545 2.64571i −0.00139417 0.249996i
\(113\) 13.3168i 1.25274i −0.779526 0.626370i \(-0.784540\pi\)
0.779526 0.626370i \(-0.215460\pi\)
\(114\) 1.52706 + 6.13017i 0.143022 + 0.574143i
\(115\) −0.0516859 + 0.0895226i −0.00481973 + 0.00834802i
\(116\) 6.09518 + 3.51906i 0.565924 + 0.326736i
\(117\) −0.143107 10.8157i −0.0132302 0.999912i
\(118\) 10.4387i 0.960963i
\(119\) 5.21290 3.04856i 0.477866 0.279461i
\(120\) 0.0505607 0.176187i 0.00461554 0.0160836i
\(121\) 4.77110 + 8.26379i 0.433737 + 0.751254i
\(122\) −8.67338 5.00758i −0.785251 0.453365i
\(123\) −0.502424 0.520493i −0.0453020 0.0469313i
\(124\) −0.610707 1.05778i −0.0548431 0.0949910i
\(125\) 1.05709i 0.0945488i
\(126\) 7.93374 + 0.236084i 0.706794 + 0.0210320i
\(127\) 13.7882 1.22351 0.611755 0.791048i \(-0.290464\pi\)
0.611755 + 0.791048i \(0.290464\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 6.11170 5.89953i 0.538105 0.519424i
\(130\) −0.339316 0.174519i −0.0297600 0.0153064i
\(131\) 6.41784 + 11.1160i 0.560729 + 0.971212i 0.997433 + 0.0716063i \(0.0228125\pi\)
−0.436704 + 0.899605i \(0.643854\pi\)
\(132\) −2.01013 0.576851i −0.174960 0.0502085i
\(133\) 0.0538159 + 9.65000i 0.00466643 + 0.836761i
\(134\) 6.52773i 0.563910i
\(135\) 0.522875 + 0.170255i 0.0450019 + 0.0146532i
\(136\) −1.14124 + 1.97669i −0.0978606 + 0.169500i
\(137\) −2.91269 + 5.04492i −0.248848 + 0.431017i −0.963206 0.268763i \(-0.913385\pi\)
0.714359 + 0.699780i \(0.246718\pi\)
\(138\) 1.64169 0.408955i 0.139750 0.0348125i
\(139\) 18.0901i 1.53438i −0.641420 0.767190i \(-0.721654\pi\)
0.641420 0.767190i \(-0.278346\pi\)
\(140\) 0.138642 0.243258i 0.0117174 0.0205590i
\(141\) −0.816250 + 2.84436i −0.0687406 + 0.239538i
\(142\) −1.36023 2.35599i −0.114148 0.197710i
\(143\) −1.99111 + 3.87129i −0.166505 + 0.323733i
\(144\) −2.64943 + 1.40731i −0.220786 + 0.117276i
\(145\) 0.372412 + 0.645037i 0.0309272 + 0.0535674i
\(146\) 7.44515 0.616165
\(147\) 11.6906 + 3.21418i 0.964221 + 0.265101i
\(148\) 2.32294i 0.190945i
\(149\) −5.92542 10.2631i −0.485429 0.840788i 0.514430 0.857532i \(-0.328003\pi\)
−0.999860 + 0.0167437i \(0.994670\pi\)
\(150\) −6.21697 + 6.00114i −0.507613 + 0.489991i
\(151\) −15.7115 9.07106i −1.27859 0.738192i −0.301998 0.953309i \(-0.597654\pi\)
−0.976588 + 0.215116i \(0.930987\pi\)
\(152\) −1.82371 3.15875i −0.147922 0.256209i
\(153\) −5.80545 3.63102i −0.469342 0.293551i
\(154\) −2.77535 1.58178i −0.223644 0.127463i
\(155\) 0.129259i 0.0103823i
\(156\) 1.80188 + 5.97940i 0.144266 + 0.478735i
\(157\) −15.3218 8.84604i −1.22281 0.705991i −0.257295 0.966333i \(-0.582831\pi\)
−0.965516 + 0.260342i \(0.916165\pi\)
\(158\) 5.04911 8.74532i 0.401686 0.695740i
\(159\) −3.44319 + 0.857718i −0.273063 + 0.0680215i
\(160\) 0.105827i 0.00836639i
\(161\) 2.58432 0.0144122i 0.203673 0.00113584i
\(162\) −3.93857 8.09244i −0.309443 0.635802i
\(163\) 4.80436 2.77380i 0.376306 0.217261i −0.299904 0.953970i \(-0.596955\pi\)
0.676210 + 0.736709i \(0.263621\pi\)
\(164\) 0.361712 + 0.208835i 0.0282450 + 0.0163072i
\(165\) −0.153704 0.159231i −0.0119658 0.0123961i
\(166\) −10.1138 + 5.83922i −0.784985 + 0.453211i
\(167\) 9.21026i 0.712712i 0.934350 + 0.356356i \(0.115981\pi\)
−0.934350 + 0.356356i \(0.884019\pi\)
\(168\) −4.44044 + 1.13248i −0.342587 + 0.0873724i
\(169\) 12.9387 1.26046i 0.995288 0.0969584i
\(170\) −0.209188 + 0.120775i −0.0160440 + 0.00926298i
\(171\) 9.66357 5.13303i 0.738992 0.392532i
\(172\) −2.45216 + 4.24727i −0.186976 + 0.323851i
\(173\) −5.82669 10.0921i −0.442995 0.767289i 0.554915 0.831907i \(-0.312751\pi\)
−0.997910 + 0.0646174i \(0.979417\pi\)
\(174\) 3.36257 11.7174i 0.254916 0.888296i
\(175\) −11.3938 + 6.66321i −0.861290 + 0.503691i
\(176\) 1.20739 0.0910106
\(177\) −17.5443 + 4.37038i −1.31871 + 0.328498i
\(178\) −14.7044 8.48960i −1.10214 0.636323i
\(179\) 15.1632 + 8.75448i 1.13335 + 0.654341i 0.944776 0.327718i \(-0.106280\pi\)
0.188576 + 0.982059i \(0.439613\pi\)
\(180\) −0.317284 0.0112127i −0.0236490 0.000835744i
\(181\) 13.3881i 0.995127i −0.867428 0.497564i \(-0.834228\pi\)
0.867428 0.497564i \(-0.165772\pi\)
\(182\) 0.516136 + 9.52542i 0.0382586 + 0.706071i
\(183\) −4.78490 + 16.6738i −0.353710 + 1.23256i
\(184\) −0.845930 + 0.488398i −0.0623628 + 0.0360052i
\(185\) 0.122915 0.212896i 0.00903692 0.0156524i
\(186\) −1.52211 + 1.46927i −0.111606 + 0.107732i
\(187\) 1.37793 + 2.38664i 0.100764 + 0.174528i
\(188\) 1.70847i 0.124603i
\(189\) −2.92483 13.4330i −0.212750 0.977107i
\(190\) 0.385996i 0.0280031i
\(191\) −12.8955 + 7.44521i −0.933084 + 0.538717i −0.887786 0.460257i \(-0.847757\pi\)
−0.0452987 + 0.998973i \(0.514424\pi\)
\(192\) 1.24618 1.20292i 0.0899356 0.0868135i
\(193\) 11.3018 + 6.52508i 0.813519 + 0.469685i 0.848176 0.529714i \(-0.177701\pi\)
−0.0346576 + 0.999399i \(0.511034\pi\)
\(194\) −4.42648 7.66690i −0.317803 0.550451i
\(195\) −0.151252 + 0.643351i −0.0108313 + 0.0460713i
\(196\) −6.99956 + 0.0780724i −0.499969 + 0.00557660i
\(197\) 8.81199 0.627828 0.313914 0.949451i \(-0.398360\pi\)
0.313914 + 0.949451i \(0.398360\pi\)
\(198\) −0.127926 + 3.61992i −0.00909133 + 0.257256i
\(199\) 13.8134 + 7.97517i 0.979206 + 0.565345i 0.902030 0.431673i \(-0.142076\pi\)
0.0771758 + 0.997017i \(0.475410\pi\)
\(200\) 2.49440 4.32043i 0.176381 0.305500i
\(201\) −10.9711 + 2.73296i −0.773841 + 0.192768i
\(202\) −11.6838 −0.822069
\(203\) 9.22047 16.1780i 0.647150 1.13547i
\(204\) 3.80000 + 1.09049i 0.266053 + 0.0763498i
\(205\) 0.0221004 + 0.0382790i 0.00154356 + 0.00267352i
\(206\) −0.999136 0.576851i −0.0696131 0.0401911i
\(207\) −1.37465 2.58796i −0.0955449 0.179875i
\(208\) −1.95221 3.03132i −0.135361 0.210184i
\(209\) −4.40386 −0.304621
\(210\) −0.466886 0.131169i −0.0322182 0.00905155i
\(211\) 16.2666 1.11984 0.559919 0.828547i \(-0.310832\pi\)
0.559919 + 0.828547i \(0.310832\pi\)
\(212\) 1.77421 1.02434i 0.121853 0.0703518i
\(213\) −3.39020 + 3.27250i −0.232292 + 0.224228i
\(214\) 10.5362 + 6.08311i 0.720243 + 0.415833i
\(215\) −0.449477 + 0.259506i −0.0306541 + 0.0176982i
\(216\) 3.47448 + 3.86367i 0.236408 + 0.262890i
\(217\) −2.78956 + 1.63136i −0.189367 + 0.110744i
\(218\) 7.20550i 0.488018i
\(219\) −3.11706 12.5130i −0.210631 0.845549i
\(220\) 0.110657 + 0.0638876i 0.00746046 + 0.00430730i
\(221\) 3.76403 7.31837i 0.253196 0.492287i
\(222\) −3.90414 + 0.972545i −0.262029 + 0.0652729i
\(223\) 19.4124 1.29995 0.649975 0.759955i \(-0.274779\pi\)
0.649975 + 0.759955i \(0.274779\pi\)
\(224\) 2.28387 1.33563i 0.152598 0.0892407i
\(225\) 12.6889 + 7.93629i 0.845927 + 0.529086i
\(226\) 11.5327 6.65841i 0.767144 0.442911i
\(227\) 14.8984 + 8.60159i 0.988841 + 0.570908i 0.904928 0.425566i \(-0.139925\pi\)
0.0839133 + 0.996473i \(0.473258\pi\)
\(228\) −4.54535 + 4.38756i −0.301023 + 0.290573i
\(229\) 4.77500 + 8.27054i 0.315541 + 0.546533i 0.979552 0.201190i \(-0.0644808\pi\)
−0.664012 + 0.747722i \(0.731147\pi\)
\(230\) −0.103372 −0.00681613
\(231\) −1.49652 + 5.32674i −0.0984640 + 0.350474i
\(232\) 7.03811i 0.462075i
\(233\) −9.52198 + 5.49752i −0.623806 + 0.360154i −0.778349 0.627832i \(-0.783943\pi\)
0.154543 + 0.987986i \(0.450609\pi\)
\(234\) 9.29512 5.53179i 0.607641 0.361624i
\(235\) 0.0904015 0.156580i 0.00589714 0.0102142i
\(236\) 9.04020 5.21936i 0.588467 0.339752i
\(237\) −16.8121 4.82459i −1.09206 0.313391i
\(238\) 5.24658 + 2.99023i 0.340085 + 0.193828i
\(239\) −15.2257 −0.984868 −0.492434 0.870350i \(-0.663893\pi\)
−0.492434 + 0.870350i \(0.663893\pi\)
\(240\) 0.177863 0.0443067i 0.0114810 0.00285998i
\(241\) 8.18626 14.1790i 0.527323 0.913351i −0.472170 0.881508i \(-0.656529\pi\)
0.999493 0.0318429i \(-0.0101376\pi\)
\(242\) −4.77110 + 8.26379i −0.306698 + 0.531217i
\(243\) −11.9519 + 10.0076i −0.766716 + 0.641986i
\(244\) 10.0152i 0.641154i
\(245\) −0.645635 0.363217i −0.0412481 0.0232051i
\(246\) 0.199548 0.695358i 0.0127227 0.0443344i
\(247\) 7.12050 + 11.0565i 0.453067 + 0.703506i
\(248\) 0.610707 1.05778i 0.0387799 0.0671688i
\(249\) 14.0483 + 14.5535i 0.890273 + 0.922290i
\(250\) 0.915465 0.528544i 0.0578991 0.0334281i
\(251\) 5.68832 0.359044 0.179522 0.983754i \(-0.442545\pi\)
0.179522 + 0.983754i \(0.442545\pi\)
\(252\) 3.76242 + 6.98886i 0.237010 + 0.440257i
\(253\) 1.17938i 0.0741468i
\(254\) 6.89412 + 11.9410i 0.432576 + 0.749243i
\(255\) 0.290565 + 0.301015i 0.0181959 + 0.0188503i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −7.39698 12.8119i −0.461411 0.799187i 0.537621 0.843187i \(-0.319323\pi\)
−0.999032 + 0.0439995i \(0.985990\pi\)
\(258\) 8.16499 + 2.34312i 0.508330 + 0.145876i
\(259\) −6.14583 + 0.0342739i −0.381883 + 0.00212968i
\(260\) −0.0185198 0.381116i −0.00114855 0.0236358i
\(261\) −21.1012 0.745706i −1.30613 0.0461581i
\(262\) −6.41784 + 11.1160i −0.396496 + 0.686750i
\(263\) 20.3349 + 11.7403i 1.25390 + 0.723940i 0.971882 0.235468i \(-0.0756624\pi\)
0.282020 + 0.959409i \(0.408996\pi\)
\(264\) −0.505498 2.02925i −0.0311113 0.124892i
\(265\) 0.216806 0.0133183
\(266\) −8.33023 + 4.87160i −0.510759 + 0.298697i
\(267\) −8.11209 + 28.2679i −0.496452 + 1.72997i
\(268\) 5.65318 3.26387i 0.345323 0.199372i
\(269\) −9.17404 + 15.8899i −0.559351 + 0.968824i 0.438200 + 0.898878i \(0.355616\pi\)
−0.997551 + 0.0699465i \(0.977717\pi\)
\(270\) 0.113992 + 0.537950i 0.00693734 + 0.0327386i
\(271\) 11.0400 + 19.1219i 0.670634 + 1.16157i 0.977725 + 0.209891i \(0.0673110\pi\)
−0.307091 + 0.951680i \(0.599356\pi\)
\(272\) −2.28248 −0.138396
\(273\) 15.7932 4.85547i 0.955847 0.293866i
\(274\) −5.82537 −0.351924
\(275\) −3.01172 5.21645i −0.181614 0.314564i
\(276\) 1.17501 + 1.21727i 0.0707273 + 0.0732710i
\(277\) −1.11567 + 1.93239i −0.0670338 + 0.116106i −0.897594 0.440822i \(-0.854687\pi\)
0.830561 + 0.556928i \(0.188020\pi\)
\(278\) 15.6665 9.04503i 0.939612 0.542485i
\(279\) 3.10664 + 1.94305i 0.185990 + 0.116327i
\(280\) 0.279988 0.00156143i 0.0167325 9.33134e-5i
\(281\) 23.4884 1.40120 0.700600 0.713554i \(-0.252916\pi\)
0.700600 + 0.713554i \(0.252916\pi\)
\(282\) −2.87141 + 0.715285i −0.170990 + 0.0425946i
\(283\) −4.21753 2.43499i −0.250706 0.144745i 0.369381 0.929278i \(-0.379570\pi\)
−0.620088 + 0.784533i \(0.712903\pi\)
\(284\) 1.36023 2.35599i 0.0807148 0.139802i
\(285\) −0.648739 + 0.161605i −0.0384280 + 0.00957264i
\(286\) −4.34818 + 0.211294i −0.257114 + 0.0124941i
\(287\) 0.547179 0.960067i 0.0322990 0.0566710i
\(288\) −2.54348 1.59082i −0.149876 0.0937401i
\(289\) 5.89514 + 10.2107i 0.346773 + 0.600628i
\(290\) −0.372412 + 0.645037i −0.0218688 + 0.0378779i
\(291\) −11.0324 + 10.6494i −0.646733 + 0.624281i
\(292\) 3.72258 + 6.44769i 0.217847 + 0.377323i
\(293\) 3.97126i 0.232003i −0.993249 0.116002i \(-0.962992\pi\)
0.993249 0.116002i \(-0.0370078\pi\)
\(294\) 3.06172 + 11.7314i 0.178563 + 0.684189i
\(295\) 1.10470 0.0643183
\(296\) 2.01173 1.16147i 0.116929 0.0675091i
\(297\) 6.13752 1.30054i 0.356135 0.0754653i
\(298\) 5.92542 10.2631i 0.343250 0.594527i
\(299\) 2.96098 1.90691i 0.171238 0.110279i
\(300\) −8.30563 2.38348i −0.479526 0.137610i
\(301\) 11.2732 + 6.42505i 0.649778 + 0.370334i
\(302\) 18.1421i 1.04396i
\(303\) 4.89165 + 19.6368i 0.281018 + 1.12811i
\(304\) 1.82371 3.15875i 0.104597 0.181167i
\(305\) 0.529939 0.917880i 0.0303442 0.0525577i
\(306\) 0.241835 6.84317i 0.0138248 0.391198i
\(307\) 3.58652 0.204694 0.102347 0.994749i \(-0.467365\pi\)
0.102347 + 0.994749i \(0.467365\pi\)
\(308\) −0.0178145 3.19441i −0.00101508 0.182018i
\(309\) −0.551200 + 1.92075i −0.0313567 + 0.109267i
\(310\) 0.111942 0.0646295i 0.00635785 0.00367071i
\(311\) −14.7153 + 25.4877i −0.834431 + 1.44528i 0.0600623 + 0.998195i \(0.480870\pi\)
−0.894493 + 0.447082i \(0.852463\pi\)
\(312\) −4.27738 + 4.55017i −0.242159 + 0.257603i
\(313\) −12.7524 + 7.36260i −0.720809 + 0.416159i −0.815050 0.579390i \(-0.803291\pi\)
0.0942416 + 0.995549i \(0.469957\pi\)
\(314\) 17.6921i 0.998421i
\(315\) −0.0249841 + 0.839607i −0.00140770 + 0.0473065i
\(316\) 10.0982 0.568069
\(317\) 13.3964 + 23.2033i 0.752420 + 1.30323i 0.946647 + 0.322272i \(0.104447\pi\)
−0.194227 + 0.980957i \(0.562220\pi\)
\(318\) −2.46440 2.55303i −0.138197 0.143167i
\(319\) 7.35928 + 4.24888i 0.412040 + 0.237892i
\(320\) −0.0916492 + 0.0529137i −0.00512334 + 0.00295796i
\(321\) 5.81260 20.2550i 0.324428 1.13052i
\(322\) 1.30464 + 2.23088i 0.0727048 + 0.124322i
\(323\) 8.32515 0.463224
\(324\) 5.03898 7.45713i 0.279943 0.414285i
\(325\) −8.22701 + 15.9957i −0.456352 + 0.887281i
\(326\) 4.80436 + 2.77380i 0.266089 + 0.153626i
\(327\) −12.1102 + 3.01673i −0.669696 + 0.166825i
\(328\) 0.417669i 0.0230619i
\(329\) −4.52012 + 0.0252077i −0.249202 + 0.00138974i
\(330\) 0.0610466 0.212727i 0.00336051 0.0117102i
\(331\) 1.52884 0.882679i 0.0840329 0.0485164i −0.457395 0.889264i \(-0.651217\pi\)
0.541428 + 0.840747i \(0.317884\pi\)
\(332\) −10.1138 5.83922i −0.555068 0.320469i
\(333\) 3.26909 + 6.15447i 0.179145 + 0.337263i
\(334\) −7.97632 + 4.60513i −0.436445 + 0.251982i
\(335\) 0.690813 0.0377431
\(336\) −3.20097 3.27929i −0.174627 0.178900i
\(337\) −19.9939 −1.08913 −0.544567 0.838717i \(-0.683306\pi\)
−0.544567 + 0.838717i \(0.683306\pi\)
\(338\) 7.56096 + 10.5751i 0.411262 + 0.575207i
\(339\) −16.0191 16.5952i −0.870038 0.901328i
\(340\) −0.209188 0.120775i −0.0113448 0.00654992i
\(341\) −0.737363 1.27715i −0.0399304 0.0691615i
\(342\) 9.27712 + 5.80238i 0.501649 + 0.313757i
\(343\) 0.309832 + 18.5177i 0.0167294 + 0.999860i
\(344\) −4.90433 −0.264424
\(345\) 0.0432786 + 0.173736i 0.00233004 + 0.00935362i
\(346\) 5.82669 10.0921i 0.313245 0.542556i
\(347\) 5.40323 + 3.11955i 0.290060 + 0.167466i 0.637969 0.770062i \(-0.279775\pi\)
−0.347909 + 0.937528i \(0.613108\pi\)
\(348\) 11.8289 2.94664i 0.634094 0.157957i
\(349\) 5.19865 0.278278 0.139139 0.990273i \(-0.455567\pi\)
0.139139 + 0.990273i \(0.455567\pi\)
\(350\) −11.4674 6.53571i −0.612959 0.349349i
\(351\) −13.1888 13.3062i −0.703966 0.710234i
\(352\) 0.603696 + 1.04563i 0.0321771 + 0.0557324i
\(353\) 21.5387 + 12.4354i 1.14639 + 0.661869i 0.948005 0.318255i \(-0.103097\pi\)
0.198386 + 0.980124i \(0.436430\pi\)
\(354\) −12.5570 13.0086i −0.667396 0.691398i
\(355\) 0.249328 0.143950i 0.0132330 0.00764005i
\(356\) 16.9792i 0.899896i
\(357\) 2.82906 10.0698i 0.149730 0.532950i
\(358\) 17.5090i 0.925378i
\(359\) −15.5010 26.8486i −0.818113 1.41701i −0.907071 0.420979i \(-0.861687\pi\)
0.0889571 0.996035i \(-0.471647\pi\)
\(360\) −0.148932 0.280382i −0.00784938 0.0147774i
\(361\) 2.84819 4.93321i 0.149905 0.259643i
\(362\) 11.5944 6.69403i 0.609388 0.351831i
\(363\) 15.8864 + 4.55894i 0.833819 + 0.239282i
\(364\) −7.99119 + 5.20970i −0.418852 + 0.273062i
\(365\) 0.787901i 0.0412406i
\(366\) −16.8324 + 4.19304i −0.879841 + 0.219174i
\(367\) 14.7620 + 8.52284i 0.770570 + 0.444889i 0.833078 0.553156i \(-0.186577\pi\)
−0.0625080 + 0.998044i \(0.519910\pi\)
\(368\) −0.845930 0.488398i −0.0440972 0.0254595i
\(369\) −1.25223 0.0442532i −0.0651883 0.00230373i
\(370\) 0.245831 0.0127801
\(371\) −2.73628 4.67892i −0.142061 0.242917i
\(372\) −2.03348 0.583550i −0.105431 0.0302557i
\(373\) −10.9216 18.9168i −0.565501 0.979476i −0.997003 0.0773640i \(-0.975350\pi\)
0.431502 0.902112i \(-0.357984\pi\)
\(374\) −1.37793 + 2.38664i −0.0712508 + 0.123410i
\(375\) −1.27160 1.31733i −0.0656649 0.0680265i
\(376\) 1.47958 0.854236i 0.0763035 0.0440538i
\(377\) −1.23167 25.3464i −0.0634344 1.30540i
\(378\) 10.1709 9.24948i 0.523135 0.475742i
\(379\) 29.5625i 1.51852i −0.650786 0.759261i \(-0.725560\pi\)
0.650786 0.759261i \(-0.274440\pi\)
\(380\) 0.334282 0.192998i 0.0171483 0.00990059i
\(381\) 17.1827 16.5862i 0.880297 0.849737i
\(382\) −12.8955 7.44521i −0.659790 0.380930i
\(383\) 13.3338 7.69829i 0.681327 0.393364i −0.119028 0.992891i \(-0.537978\pi\)
0.800355 + 0.599527i \(0.204644\pi\)
\(384\) 1.66485 + 0.477766i 0.0849592 + 0.0243809i
\(385\) 0.167395 0.293708i 0.00853125 0.0149687i
\(386\) 13.0502i 0.664235i
\(387\) 0.519626 14.7038i 0.0264141 0.747436i
\(388\) 4.42648 7.66690i 0.224721 0.389228i
\(389\) 9.83397 + 5.67765i 0.498602 + 0.287868i 0.728136 0.685433i \(-0.240387\pi\)
−0.229534 + 0.973301i \(0.573720\pi\)
\(390\) −0.632784 + 0.190688i −0.0320423 + 0.00965585i
\(391\) 2.22952i 0.112752i
\(392\) −3.56739 6.02276i −0.180181 0.304196i
\(393\) 21.3695 + 6.13245i 1.07795 + 0.309341i
\(394\) 4.40599 + 7.63140i 0.221971 + 0.384465i
\(395\) 0.925494 + 0.534334i 0.0465666 + 0.0268853i
\(396\) −3.19890 + 1.69917i −0.160751 + 0.0853866i
\(397\) −12.6212 21.8606i −0.633440 1.09715i −0.986843 0.161679i \(-0.948309\pi\)
0.353404 0.935471i \(-0.385024\pi\)
\(398\) 15.9503i 0.799519i
\(399\) 11.6753 + 11.9609i 0.584494 + 0.598796i
\(400\) 4.98880 0.249440
\(401\) −17.2752 29.9215i −0.862681 1.49421i −0.869331 0.494230i \(-0.835450\pi\)
0.00665018 0.999978i \(-0.497883\pi\)
\(402\) −7.85236 8.13476i −0.391640 0.405725i
\(403\) −2.01423 + 3.91624i −0.100336 + 0.195082i
\(404\) −5.84190 10.1185i −0.290645 0.503412i
\(405\) 0.856402 0.416809i 0.0425550 0.0207114i
\(406\) 18.6208 0.103844i 0.924135 0.00515369i
\(407\) 2.80470i 0.139024i
\(408\) 0.955606 + 3.83614i 0.0473095 + 0.189917i
\(409\) −4.95129 + 8.57588i −0.244825 + 0.424050i −0.962083 0.272759i \(-0.912064\pi\)
0.717257 + 0.696809i \(0.245397\pi\)
\(410\) −0.0221004 + 0.0382790i −0.00109146 + 0.00189047i
\(411\) 2.43891 + 9.79064i 0.120302 + 0.482937i
\(412\) 1.15370i 0.0568388i
\(413\) −13.9423 23.8407i −0.686056 1.17313i
\(414\) 1.55391 2.48446i 0.0763705 0.122105i
\(415\) −0.617949 1.07032i −0.0303339 0.0525399i
\(416\) 1.64910 3.20632i 0.0808536 0.157203i
\(417\) −21.7610 22.5436i −1.06564 1.10396i
\(418\) −2.20193 3.81385i −0.107700 0.186542i
\(419\) 26.9663 1.31739 0.658694 0.752411i \(-0.271109\pi\)
0.658694 + 0.752411i \(0.271109\pi\)
\(420\) −0.119847 0.469920i −0.00584793 0.0229297i
\(421\) 10.6473i 0.518917i −0.965754 0.259458i \(-0.916456\pi\)
0.965754 0.259458i \(-0.0835440\pi\)
\(422\) 8.13330 + 14.0873i 0.395923 + 0.685758i
\(423\) 2.40434 + 4.52648i 0.116903 + 0.220085i
\(424\) 1.77421 + 1.02434i 0.0861630 + 0.0497463i
\(425\) 5.69342 + 9.86130i 0.276172 + 0.478343i
\(426\) −4.52917 1.29974i −0.219439 0.0629728i
\(427\) −26.4972 + 0.147769i −1.28229 + 0.00715104i
\(428\) 12.1662i 0.588076i
\(429\) 2.17557 + 7.21948i 0.105038 + 0.348560i
\(430\) −0.449477 0.259506i −0.0216757 0.0125145i
\(431\) −11.0130 + 19.0751i −0.530478 + 0.918816i 0.468889 + 0.883257i \(0.344654\pi\)
−0.999368 + 0.0355586i \(0.988679\pi\)
\(432\) −1.60880 + 4.94083i −0.0774034 + 0.237716i
\(433\) 35.6522i 1.71334i 0.515868 + 0.856668i \(0.327470\pi\)
−0.515868 + 0.856668i \(0.672530\pi\)
\(434\) −2.80758 1.60015i −0.134768 0.0768095i
\(435\) 1.24002 + 0.355852i 0.0594546 + 0.0170618i
\(436\) 6.24015 3.60275i 0.298849 0.172541i
\(437\) 3.08546 + 1.78139i 0.147597 + 0.0852154i
\(438\) 9.27803 8.95594i 0.443322 0.427932i
\(439\) −8.95324 + 5.16916i −0.427315 + 0.246710i −0.698202 0.715901i \(-0.746016\pi\)
0.270887 + 0.962611i \(0.412683\pi\)
\(440\) 0.127775i 0.00609144i
\(441\) 18.4350 10.0574i 0.877857 0.478923i
\(442\) 8.21991 0.399436i 0.390981 0.0189992i
\(443\) 33.8232 19.5279i 1.60699 0.927796i 0.616952 0.787001i \(-0.288367\pi\)
0.990039 0.140795i \(-0.0449660\pi\)
\(444\) −2.79432 2.89481i −0.132613 0.137382i
\(445\) 0.898432 1.55613i 0.0425898 0.0737676i
\(446\) 9.70620 + 16.8116i 0.459602 + 0.796054i
\(447\) −19.7299 5.66193i −0.933193 0.267800i
\(448\) 2.29863 + 1.31008i 0.108600 + 0.0618953i
\(449\) 14.4259 0.680801 0.340400 0.940281i \(-0.389437\pi\)
0.340400 + 0.940281i \(0.389437\pi\)
\(450\) −0.528576 + 14.9571i −0.0249173 + 0.705083i
\(451\) 0.436729 + 0.252145i 0.0205647 + 0.0118731i
\(452\) 11.5327 + 6.65841i 0.542453 + 0.313185i
\(453\) −30.4913 + 7.59555i −1.43260 + 0.356870i
\(454\) 17.2032i 0.807385i
\(455\) −1.00805 + 0.0546213i −0.0472581 + 0.00256069i
\(456\) −6.07241 1.74261i −0.284367 0.0816052i
\(457\) −35.3848 + 20.4294i −1.65523 + 0.955647i −0.680357 + 0.732881i \(0.738175\pi\)
−0.974872 + 0.222766i \(0.928491\pi\)
\(458\) −4.77500 + 8.27054i −0.223121 + 0.386457i
\(459\) −11.6025 + 2.45858i −0.541558 + 0.114757i
\(460\) −0.0516859 0.0895226i −0.00240987 0.00417401i
\(461\) 12.6945i 0.591242i −0.955305 0.295621i \(-0.904474\pi\)
0.955305 0.295621i \(-0.0955265\pi\)
\(462\) −5.36135 + 1.36734i −0.249433 + 0.0636146i
\(463\) 30.2556i 1.40610i −0.711141 0.703049i \(-0.751821\pi\)
0.711141 0.703049i \(-0.248179\pi\)
\(464\) −6.09518 + 3.51906i −0.282962 + 0.163368i
\(465\) −0.155489 0.161081i −0.00721061 0.00746993i
\(466\) −9.52198 5.49752i −0.441097 0.254668i
\(467\) −7.65871 13.2653i −0.354403 0.613844i 0.632613 0.774468i \(-0.281983\pi\)
−0.987016 + 0.160624i \(0.948649\pi\)
\(468\) 9.43823 + 5.28392i 0.436282 + 0.244249i
\(469\) −8.71865 14.9085i −0.402590 0.688412i
\(470\) 0.180803 0.00833982
\(471\) −29.7349 + 7.40713i −1.37011 + 0.341303i
\(472\) 9.04020 + 5.21936i 0.416109 + 0.240241i
\(473\) −2.96072 + 5.12812i −0.136134 + 0.235791i
\(474\) −4.22782 16.9720i −0.194190 0.779549i
\(475\) −18.1962 −0.834900
\(476\) 0.0336769 + 6.03879i 0.00154358 + 0.276787i
\(477\) −3.25908 + 5.21076i −0.149223 + 0.238585i
\(478\) −7.61285 13.1858i −0.348203 0.603106i
\(479\) 36.8694 + 21.2866i 1.68461 + 0.972608i 0.958529 + 0.284996i \(0.0919922\pi\)
0.726078 + 0.687612i \(0.241341\pi\)
\(480\) 0.127302 + 0.131880i 0.00581052 + 0.00601949i
\(481\) −7.04158 + 4.53486i −0.321068 + 0.206772i
\(482\) 16.3725 0.745748
\(483\) 3.20320 3.12670i 0.145751 0.142270i
\(484\) −9.54220 −0.433737
\(485\) 0.811367 0.468443i 0.0368423 0.0212709i
\(486\) −14.6428 5.34688i −0.664210 0.242539i
\(487\) −4.29100 2.47741i −0.194444 0.112262i 0.399617 0.916682i \(-0.369143\pi\)
−0.594061 + 0.804420i \(0.702476\pi\)
\(488\) 8.67338 5.00758i 0.392625 0.226682i
\(489\) 2.65045 9.23594i 0.119858 0.417664i
\(490\) −0.00826220 0.740745i −0.000373248 0.0334635i
\(491\) 36.3557i 1.64071i −0.571853 0.820356i \(-0.693775\pi\)
0.571853 0.820356i \(-0.306225\pi\)
\(492\) 0.701972 0.174865i 0.0316474 0.00788354i
\(493\) −13.9121 8.03218i −0.626572 0.361751i
\(494\) −6.01493 + 11.6948i −0.270625 + 0.526172i
\(495\) −0.383086 0.0135381i −0.0172184 0.000608493i
\(496\) 1.22141 0.0548431
\(497\) −6.25333 3.56401i −0.280500 0.159868i
\(498\) −5.57956 + 19.4429i −0.250026 + 0.871257i
\(499\) 22.8436 13.1887i 1.02262 0.590409i 0.107757 0.994177i \(-0.465633\pi\)
0.914861 + 0.403769i \(0.132300\pi\)
\(500\) 0.915465 + 0.528544i 0.0409409 + 0.0236372i
\(501\) 11.0792 + 11.4777i 0.494984 + 0.512785i
\(502\) 2.84416 + 4.92623i 0.126941 + 0.219868i
\(503\) −33.8590 −1.50970 −0.754849 0.655898i \(-0.772290\pi\)
−0.754849 + 0.655898i \(0.772290\pi\)
\(504\) −4.17133 + 6.75278i −0.185806 + 0.300793i
\(505\) 1.23647i 0.0550220i
\(506\) −1.02137 + 0.589688i −0.0454054 + 0.0262148i
\(507\) 14.6078 17.1351i 0.648757 0.760996i
\(508\) −6.89412 + 11.9410i −0.305877 + 0.529795i
\(509\) −34.0447 + 19.6557i −1.50901 + 0.871225i −0.509061 + 0.860730i \(0.670007\pi\)
−0.999945 + 0.0104951i \(0.996659\pi\)
\(510\) −0.115404 + 0.402144i −0.00511017 + 0.0178072i
\(511\) 17.0038 9.94399i 0.752204 0.439896i
\(512\) −1.00000 −0.0441942
\(513\) 5.86796 18.0212i 0.259077 0.795657i
\(514\) 7.39698 12.8119i 0.326267 0.565111i
\(515\) 0.0610466 0.105736i 0.00269004 0.00465928i
\(516\) 2.05329 + 8.24265i 0.0903911 + 0.362862i
\(517\) 2.06280i 0.0907216i
\(518\) −3.10260 5.30531i −0.136320 0.233102i
\(519\) −19.4012 5.56759i −0.851617 0.244390i
\(520\) 0.320796 0.206597i 0.0140679 0.00905987i
\(521\) 8.81970 15.2762i 0.386398 0.669261i −0.605564 0.795797i \(-0.707052\pi\)
0.991962 + 0.126535i \(0.0403857\pi\)
\(522\) −9.90478 18.6470i −0.433520 0.816157i
\(523\) 17.8468 10.3039i 0.780387 0.450557i −0.0561804 0.998421i \(-0.517892\pi\)
0.836567 + 0.547864i \(0.184559\pi\)
\(524\) −12.8357 −0.560729
\(525\) −6.18345 + 22.0094i −0.269868 + 0.960571i
\(526\) 23.4807i 1.02381i
\(527\) 1.39393 + 2.41435i 0.0607204 + 0.105171i
\(528\) 1.50463 1.45240i 0.0654808 0.0632076i
\(529\) −11.0229 + 19.0923i −0.479258 + 0.830099i
\(530\) 0.108403 + 0.187759i 0.00470872 + 0.00815575i
\(531\) −16.6062 + 26.5507i −0.720646 + 1.15220i
\(532\) −8.38405 4.77839i −0.363495 0.207170i
\(533\) −0.0730924 1.50415i −0.00316598 0.0651521i
\(534\) −28.5368 + 7.10868i −1.23491 + 0.307622i
\(535\) −0.643759 + 1.11502i −0.0278321 + 0.0482067i
\(536\) 5.65318 + 3.26387i 0.244180 + 0.140978i
\(537\) 29.4271 7.33047i 1.26987 0.316333i
\(538\) −18.3481 −0.791042
\(539\) −8.45122 + 0.0942640i −0.364020 + 0.00406024i
\(540\) −0.408882 + 0.367695i −0.0175955 + 0.0158231i
\(541\) −17.1036 + 9.87474i −0.735339 + 0.424548i −0.820372 0.571830i \(-0.806234\pi\)
0.0850330 + 0.996378i \(0.472900\pi\)
\(542\) −11.0400 + 19.1219i −0.474210 + 0.821355i
\(543\) −16.1048 16.6840i −0.691124 0.715979i
\(544\) −1.14124 1.97669i −0.0489303 0.0847498i
\(545\) 0.762539 0.0326636
\(546\) 12.1015 + 11.2496i 0.517898 + 0.481437i
\(547\) −25.0148 −1.06956 −0.534778 0.844992i \(-0.679605\pi\)
−0.534778 + 0.844992i \(0.679605\pi\)
\(548\) −2.91269 5.04492i −0.124424 0.215508i
\(549\) 14.0944 + 26.5345i 0.601534 + 1.13246i
\(550\) 3.01172 5.21645i 0.128420 0.222430i
\(551\) 22.2316 12.8354i 0.947100 0.546808i
\(552\) −0.466680 + 1.62622i −0.0198632 + 0.0692167i
\(553\) −0.148995 26.7170i −0.00633589 1.13612i
\(554\) −2.23133 −0.0948002
\(555\) −0.102922 0.413165i −0.00436879 0.0175379i
\(556\) 15.6665 + 9.04503i 0.664406 + 0.383595i
\(557\) −4.88652 + 8.46370i −0.207049 + 0.358619i −0.950783 0.309856i \(-0.899719\pi\)
0.743735 + 0.668475i \(0.233052\pi\)
\(558\) −0.129412 + 3.66195i −0.00547844 + 0.155023i
\(559\) 17.6620 0.858260i 0.747021 0.0363005i
\(560\) 0.141346 + 0.241696i 0.00597298 + 0.0102135i
\(561\) 4.58809 + 1.31665i 0.193709 + 0.0555891i
\(562\) 11.7442 + 20.3416i 0.495399 + 0.858057i
\(563\) 0.418795 0.725375i 0.0176501 0.0305709i −0.857065 0.515208i \(-0.827715\pi\)
0.874716 + 0.484637i \(0.161048\pi\)
\(564\) −2.05516 2.12907i −0.0865378 0.0896501i
\(565\) 0.704642 + 1.22048i 0.0296445 + 0.0513458i
\(566\) 4.86999i 0.204701i
\(567\) −19.8037 13.2216i −0.831679 0.555257i
\(568\) 2.72046 0.114148
\(569\) 23.1014 13.3376i 0.968463 0.559142i 0.0696956 0.997568i \(-0.477797\pi\)
0.898767 + 0.438426i \(0.144464\pi\)
\(570\) −0.464323 0.481022i −0.0194484 0.0201478i
\(571\) 11.7217 20.3025i 0.490536 0.849633i −0.509405 0.860527i \(-0.670134\pi\)
0.999941 + 0.0108941i \(0.00346775\pi\)
\(572\) −2.35708 3.65999i −0.0985544 0.153032i
\(573\) −7.11414 + 24.7904i −0.297197 + 1.03563i
\(574\) 1.10503 0.00616251i 0.0461231 0.000257218i
\(575\) 4.87304i 0.203220i
\(576\) 0.105953 2.99813i 0.00441469 0.124922i
\(577\) −2.28855 + 3.96389i −0.0952736 + 0.165019i −0.909723 0.415216i \(-0.863706\pi\)
0.814449 + 0.580235i \(0.197039\pi\)
\(578\) −5.89514 + 10.2107i −0.245205 + 0.424708i
\(579\) 21.9332 5.46370i 0.911515 0.227064i
\(580\) −0.744825 −0.0309272
\(581\) −15.2997 + 26.8444i −0.634737 + 1.11369i
\(582\) −14.7389 4.22965i −0.610947 0.175325i
\(583\) 2.14216 1.23678i 0.0887193 0.0512221i
\(584\) −3.72258 + 6.44769i −0.154041 + 0.266807i
\(585\) 0.585414 + 0.983678i 0.0242039 + 0.0406701i
\(586\) 3.43921 1.98563i 0.142072 0.0820256i
\(587\) 36.9891i 1.52670i 0.645982 + 0.763352i \(0.276448\pi\)
−0.645982 + 0.763352i \(0.723552\pi\)
\(588\) −8.62884 + 8.51723i −0.355847 + 0.351245i
\(589\) −4.45500 −0.183565
\(590\) 0.552351 + 0.956700i 0.0227399 + 0.0393867i
\(591\) 10.9814 10.6001i 0.451713 0.436032i
\(592\) 2.01173 + 1.16147i 0.0826814 + 0.0477362i
\(593\) −24.0004 + 13.8566i −0.985579 + 0.569024i −0.903950 0.427639i \(-0.859346\pi\)
−0.0816289 + 0.996663i \(0.526012\pi\)
\(594\) 4.19506 + 4.66497i 0.172125 + 0.191406i
\(595\) −0.316448 + 0.555232i −0.0129731 + 0.0227623i
\(596\) 11.8508 0.485429
\(597\) 26.8076 6.67792i 1.09716 0.273309i
\(598\) 3.13192 + 1.61083i 0.128074 + 0.0658718i
\(599\) −10.8738 6.27799i −0.444291 0.256512i 0.261125 0.965305i \(-0.415907\pi\)
−0.705416 + 0.708793i \(0.749240\pi\)
\(600\) −2.08866 8.38462i −0.0852691 0.342301i
\(601\) 10.7277i 0.437594i 0.975770 + 0.218797i \(0.0702132\pi\)
−0.975770 + 0.218797i \(0.929787\pi\)
\(602\) 0.0723610 + 12.9754i 0.00294922 + 0.528839i
\(603\) −10.3845 + 16.6032i −0.422888 + 0.676133i
\(604\) 15.7115 9.07106i 0.639293 0.369096i
\(605\) −0.874535 0.504913i −0.0355549 0.0205276i
\(606\) −14.5602 + 14.0547i −0.591466 + 0.570933i
\(607\) 27.0857 15.6379i 1.09937 0.634724i 0.163318 0.986574i \(-0.447780\pi\)
0.936057 + 0.351849i \(0.114447\pi\)
\(608\) 3.64741 0.147922
\(609\) −7.97049 31.2523i −0.322981 1.26641i
\(610\) 1.05988 0.0429132
\(611\) −5.17892 + 3.33529i −0.209517 + 0.134931i
\(612\) 6.04728 3.21215i 0.244447 0.129844i
\(613\) −10.8577 6.26872i −0.438540 0.253191i 0.264438 0.964403i \(-0.414813\pi\)
−0.702978 + 0.711212i \(0.748147\pi\)
\(614\) 1.79326 + 3.10602i 0.0723702 + 0.125349i
\(615\) 0.0735879 + 0.0211177i 0.00296735 + 0.000851546i
\(616\) 2.75753 1.61263i 0.111104 0.0649748i
\(617\) 7.90025 0.318052 0.159026 0.987274i \(-0.449165\pi\)
0.159026 + 0.987274i \(0.449165\pi\)
\(618\) −1.93902 + 0.483020i −0.0779986 + 0.0194299i
\(619\) 5.53340 9.58414i 0.222406 0.385219i −0.733132 0.680086i \(-0.761942\pi\)
0.955538 + 0.294868i \(0.0952755\pi\)
\(620\) 0.111942 + 0.0646295i 0.00449568 + 0.00259558i
\(621\) −4.82618 1.57147i −0.193668 0.0630609i
\(622\) −29.4307 −1.18006
\(623\) −44.9221 + 0.250520i −1.79976 + 0.0100369i
\(624\) −6.07925 1.42923i −0.243365 0.0572150i
\(625\) −12.4161 21.5053i −0.496643 0.860210i
\(626\) −12.7524 7.36260i −0.509689 0.294269i
\(627\) −5.48802 + 5.29750i −0.219170 + 0.211562i
\(628\) 15.3218 8.84604i 0.611406 0.352995i
\(629\) 5.30207i 0.211407i
\(630\) −0.739613 + 0.398167i −0.0294669 + 0.0158633i
\(631\) 18.1982i 0.724461i 0.932089 + 0.362230i \(0.117985\pi\)
−0.932089 + 0.362230i \(0.882015\pi\)
\(632\) 5.04911 + 8.74532i 0.200843 + 0.347870i
\(633\) 20.2712 19.5675i 0.805707 0.777737i
\(634\) −13.3964 + 23.2033i −0.532041 + 0.921522i
\(635\) −1.26368 + 0.729587i −0.0501477 + 0.0289528i
\(636\) 0.978788 3.41075i 0.0388115 0.135245i
\(637\) 13.9013 + 21.0655i 0.550788 + 0.834645i
\(638\) 8.49776i 0.336430i
\(639\) −0.288240 + 8.15629i −0.0114026 + 0.322658i
\(640\) −0.0916492 0.0529137i −0.00362275 0.00209160i
\(641\) −5.02205 2.89948i −0.198359 0.114523i 0.397531 0.917589i \(-0.369867\pi\)
−0.595890 + 0.803066i \(0.703200\pi\)
\(642\) 20.4476 5.09362i 0.807003 0.201029i
\(643\) −17.1073 −0.674646 −0.337323 0.941389i \(-0.609521\pi\)
−0.337323 + 0.941389i \(0.609521\pi\)
\(644\) −1.27968 + 2.24529i −0.0504264 + 0.0884769i
\(645\) −0.247966 + 0.864079i −0.00976366 + 0.0340231i
\(646\) 4.16258 + 7.20979i 0.163774 + 0.283666i
\(647\) −6.64633 + 11.5118i −0.261294 + 0.452575i −0.966586 0.256342i \(-0.917483\pi\)
0.705292 + 0.708917i \(0.250816\pi\)
\(648\) 8.97755 + 0.635319i 0.352671 + 0.0249577i
\(649\) 10.9151 6.30182i 0.428454 0.247368i
\(650\) −17.9662 + 0.873043i −0.704691 + 0.0342436i
\(651\) −1.51390 + 5.38860i −0.0593345 + 0.211196i
\(652\) 5.54760i 0.217261i
\(653\) 20.2462 11.6891i 0.792295 0.457432i −0.0484750 0.998824i \(-0.515436\pi\)
0.840770 + 0.541393i \(0.182103\pi\)
\(654\) −8.66767 8.97939i −0.338933 0.351122i
\(655\) −1.17638 0.679183i −0.0459650 0.0265379i
\(656\) −0.361712 + 0.208835i −0.0141225 + 0.00815362i
\(657\) −18.9366 11.8439i −0.738787 0.462075i
\(658\) −2.28189 3.90193i −0.0889574 0.152113i
\(659\) 1.60689i 0.0625954i 0.999510 + 0.0312977i \(0.00996400\pi\)
−0.999510 + 0.0312977i \(0.990036\pi\)
\(660\) 0.214750 0.0534956i 0.00835914 0.00208231i
\(661\) 3.91663 6.78381i 0.152339 0.263860i −0.779748 0.626094i \(-0.784653\pi\)
0.932087 + 0.362234i \(0.117986\pi\)
\(662\) 1.52884 + 0.882679i 0.0594202 + 0.0343063i
\(663\) −4.11275 13.6479i −0.159726 0.530040i
\(664\) 11.6784i 0.453211i
\(665\) −0.515549 0.881567i −0.0199921 0.0341857i
\(666\) −3.69539 + 5.90835i −0.143193 + 0.228944i
\(667\) −3.43740 5.95375i −0.133097 0.230530i
\(668\) −7.97632 4.60513i −0.308613 0.178178i
\(669\) 24.1914 23.3516i 0.935295 0.902826i
\(670\) 0.345406 + 0.598261i 0.0133442 + 0.0231129i
\(671\) 12.0922i 0.466815i
\(672\) 1.23947 4.41177i 0.0478135 0.170188i
\(673\) −26.3985 −1.01759 −0.508793 0.860889i \(-0.669908\pi\)
−0.508793 + 0.860889i \(0.669908\pi\)
\(674\) −9.99693 17.3152i −0.385067 0.666956i
\(675\) 25.3595 5.37369i 0.976087 0.206834i
\(676\) −5.37778 + 11.8355i −0.206838 + 0.455212i
\(677\) 9.98440 + 17.2935i 0.383732 + 0.664643i 0.991592 0.129401i \(-0.0413055\pi\)
−0.607861 + 0.794044i \(0.707972\pi\)
\(678\) 6.36232 22.1706i 0.244344 0.851455i
\(679\) −20.3497 11.5981i −0.780950 0.445093i
\(680\) 0.241549i 0.00926298i
\(681\) 28.9132 7.20245i 1.10796 0.275998i
\(682\) 0.737363 1.27715i 0.0282351 0.0489046i
\(683\) 20.4986 35.5046i 0.784357 1.35855i −0.145026 0.989428i \(-0.546327\pi\)
0.929383 0.369118i \(-0.120340\pi\)
\(684\) −0.386453 + 10.9354i −0.0147764 + 0.418126i
\(685\) 0.616484i 0.0235546i
\(686\) −15.8819 + 9.52716i −0.606372 + 0.363749i
\(687\) 15.8993 + 4.56266i 0.606598 + 0.174076i
\(688\) −2.45216 4.24727i −0.0934879 0.161926i
\(689\) −6.56871 3.37846i −0.250248 0.128709i
\(690\) −0.128820 + 0.124348i −0.00490411 + 0.00473386i
\(691\) −3.60774 6.24879i −0.137245 0.237715i 0.789208 0.614126i \(-0.210491\pi\)
−0.926453 + 0.376411i \(0.877158\pi\)
\(692\) 11.6534 0.442995
\(693\) 4.54271 + 8.43830i 0.172563 + 0.320545i
\(694\) 6.23911i 0.236833i
\(695\) 0.957212 + 1.65794i 0.0363091 + 0.0628892i
\(696\) 8.46631 + 8.77079i 0.320914 + 0.332456i
\(697\) −0.825602 0.476661i −0.0312719 0.0180548i
\(698\) 2.59933 + 4.50217i 0.0983860 + 0.170410i
\(699\) −5.25306 + 18.3051i −0.198689 + 0.692364i
\(700\) −0.0736074 13.1989i −0.00278210 0.498872i
\(701\) 20.2655i 0.765419i −0.923869 0.382709i \(-0.874991\pi\)
0.923869 0.382709i \(-0.125009\pi\)
\(702\) 4.92913 18.0749i 0.186038 0.682195i
\(703\) −7.33760 4.23636i −0.276743 0.159777i
\(704\) −0.603696 + 1.04563i −0.0227527 + 0.0394088i
\(705\) −0.0756967 0.303874i −0.00285090 0.0114445i
\(706\) 24.8708i 0.936024i
\(707\) −26.6843 + 15.6053i −1.00357 + 0.586896i
\(708\) 4.98727 17.3790i 0.187433 0.653141i
\(709\) 22.9129 13.2288i 0.860513 0.496817i −0.00367133 0.999993i \(-0.501169\pi\)
0.864184 + 0.503176i \(0.167835\pi\)
\(710\) 0.249328 + 0.143950i 0.00935711 + 0.00540233i
\(711\) −26.7546 + 14.2113i −1.00337 + 0.532965i
\(712\) 14.7044 8.48960i 0.551072 0.318161i
\(713\) 1.19307i 0.0446809i
\(714\) 10.1352 2.58486i 0.379301 0.0967358i
\(715\) −0.0223607 0.460157i −0.000836244 0.0172089i
\(716\) −15.1632 + 8.75448i −0.566676 + 0.327170i
\(717\) −18.9740 + 18.3153i −0.708598 + 0.683999i
\(718\) 15.5010 26.8486i 0.578494 1.00198i
\(719\) −6.33059 10.9649i −0.236091 0.408922i 0.723498 0.690326i \(-0.242533\pi\)
−0.959589 + 0.281405i \(0.909200\pi\)
\(720\) 0.168352 0.269170i 0.00627413 0.0100314i
\(721\) −3.05236 + 0.0170223i −0.113676 + 0.000633945i
\(722\) 5.69638 0.211997
\(723\) −6.85467 27.5171i −0.254928 1.02337i
\(724\) 11.5944 + 6.69403i 0.430903 + 0.248782i
\(725\) 30.4077 + 17.5559i 1.12931 + 0.652008i
\(726\) 3.99503 + 16.0375i 0.148269 + 0.595207i
\(727\) 18.4770i 0.685274i 0.939468 + 0.342637i \(0.111320\pi\)
−0.939468 + 0.342637i \(0.888680\pi\)
\(728\) −8.50732 4.31572i −0.315302 0.159951i
\(729\) −2.85596 + 26.8485i −0.105776 + 0.994390i
\(730\) −0.682342 + 0.393950i −0.0252546 + 0.0145808i
\(731\) 5.59702 9.69432i 0.207013 0.358557i
\(732\) −12.0475 12.4807i −0.445287 0.461301i
\(733\) 1.52428 + 2.64013i 0.0563005 + 0.0975153i 0.892802 0.450449i \(-0.148736\pi\)
−0.836502 + 0.547965i \(0.815403\pi\)
\(734\) 17.0457i 0.629168i
\(735\) −1.24150 + 0.324014i −0.0457935 + 0.0119514i
\(736\) 0.976796i 0.0360052i
\(737\) 6.82561 3.94077i 0.251425 0.145160i
\(738\) −0.587789 1.10659i −0.0216368 0.0407340i
\(739\) 29.4714 + 17.0153i 1.08412 + 0.625919i 0.932006 0.362443i \(-0.118057\pi\)
0.152118 + 0.988362i \(0.451391\pi\)
\(740\) 0.122915 + 0.212896i 0.00451846 + 0.00782620i
\(741\) 22.1735 + 5.21299i 0.814565 + 0.191504i
\(742\) 2.68392 4.70915i 0.0985300 0.172878i
\(743\) −51.3542 −1.88400 −0.942002 0.335607i \(-0.891059\pi\)
−0.942002 + 0.335607i \(0.891059\pi\)
\(744\) −0.511369 2.05282i −0.0187477 0.0752599i
\(745\) 1.08612 + 0.627072i 0.0397924 + 0.0229741i
\(746\) 10.9216 18.9168i 0.399869 0.692594i
\(747\) 35.0135 + 1.23736i 1.28108 + 0.0452727i
\(748\) −2.75585 −0.100764
\(749\) 32.1883 0.179507i 1.17613 0.00655903i
\(750\) 0.505041 1.75990i 0.0184415 0.0642624i
\(751\) −3.22181 5.58034i −0.117566 0.203630i 0.801237 0.598347i \(-0.204176\pi\)
−0.918802 + 0.394718i \(0.870842\pi\)
\(752\) 1.47958 + 0.854236i 0.0539547 + 0.0311508i
\(753\) 7.08870 6.84261i 0.258326 0.249359i
\(754\) 21.3348 13.7398i 0.776966 0.500376i
\(755\) 1.91993 0.0698735
\(756\) 13.0957 + 4.18352i 0.476287 + 0.152153i
\(757\) −33.0813 −1.20236 −0.601180 0.799114i \(-0.705302\pi\)
−0.601180 + 0.799114i \(0.705302\pi\)
\(758\) 25.6019 14.7812i 0.929902 0.536879i
\(759\) 1.41870 + 1.46972i 0.0514955 + 0.0533475i
\(760\) 0.334282 + 0.192998i 0.0121257 + 0.00700077i
\(761\) 2.67214 1.54276i 0.0968650 0.0559250i −0.450785 0.892633i \(-0.648856\pi\)
0.547650 + 0.836708i \(0.315523\pi\)
\(762\) 22.9554 + 6.58756i 0.831587 + 0.238642i
\(763\) −9.62391 16.4565i −0.348409 0.595764i
\(764\) 14.8904i 0.538717i
\(765\) 0.724195 + 0.0255927i 0.0261833 + 0.000925308i
\(766\) 13.3338 + 7.69829i 0.481771 + 0.278151i
\(767\) −33.4699 17.2145i −1.20853 0.621578i
\(768\) 0.418670 + 1.68069i 0.0151074 + 0.0606466i
\(769\) 44.6644 1.61064 0.805320 0.592840i \(-0.201993\pi\)
0.805320 + 0.592840i \(0.201993\pi\)
\(770\) 0.338056 0.00188526i 0.0121827 6.79401e-5i
\(771\) −24.6298 7.06805i −0.887020 0.254550i
\(772\) −11.3018 + 6.52508i −0.406759 + 0.234843i
\(773\) −44.2470 25.5460i −1.59145 0.918826i −0.993058 0.117626i \(-0.962472\pi\)
−0.598396 0.801201i \(-0.704195\pi\)
\(774\) 12.9937 6.90189i 0.467048