Properties

Label 546.2.bg.a.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.a.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} +(1.64910 + 3.20632i) 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} +(-4.69840 + 4.11401i) 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} +(1.95221 - 3.03132i) 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} +(-0.339316 + 0.174519i) 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} +(5.91203 + 2.01193i) 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} +(8.04879 + 5.12025i) 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 −0.479367 0.877615i \(-0.659134\pi\)
0.520353 + 0.853951i \(0.325800\pi\)
\(6\) −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 −0.760547 0.649282i \(-0.775069\pi\)
0.942569 + 0.334012i \(0.108403\pi\)
\(12\) 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 0.577390 0.816468i \(-0.304071\pi\)
−0.995777 + 0.0918008i \(0.970738\pi\)
\(20\) 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
\(26\) 1.64910 + 3.20632i 0.323414 + 0.628811i
\(27\) −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 −0.805957 0.591974i \(-0.798349\pi\)
0.915643 + 0.401992i \(0.131682\pi\)
\(32\) −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 −0.325438 0.945564i \(-0.605512\pi\)
0.656163 + 0.754619i \(0.272178\pi\)
\(38\) −1.82371 + 3.15875i −0.295844 + 0.512417i
\(39\) −4.69840 + 4.11401i −0.752346 + 0.658768i
\(40\) 0.0916492 0.0529137i 0.0144910 0.00836639i
\(41\) 0.417669i 0.0652290i 0.999468 + 0.0326145i \(0.0103834\pi\)
−0.999468 + 0.0326145i \(0.989617\pi\)
\(42\) 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 −0.388194 0.921578i \(-0.626901\pi\)
0.604013 + 0.796975i \(0.293568\pi\)
\(48\) −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
\(52\) 1.95221 3.03132i 0.270722 0.420368i
\(53\) −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 0.955303 0.295628i \(-0.0955287\pi\)
0.221631 + 0.975131i \(0.428862\pi\)
\(60\) 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
\(65\) −0.339316 + 0.174519i −0.0420870 + 0.0216465i
\(66\) −1.50463 + 1.45240i −0.185208 + 0.178778i
\(67\) 5.65318 + 3.26387i 0.690646 + 0.398745i 0.803854 0.594827i \(-0.202779\pi\)
−0.113208 + 0.993571i \(0.536113\pi\)
\(68\) 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 \(-0.448390\pi\)
0.161430 + 0.986884i \(0.448390\pi\)
\(72\) 0.105953 2.99813i 0.0124866 0.353333i
\(73\) −3.72258 + 6.44769i −0.435695 + 0.754645i −0.997352 0.0727248i \(-0.976831\pi\)
0.561658 + 0.827370i \(0.310164\pi\)
\(74\) −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
\(78\) 5.91203 + 2.01193i 0.669406 + 0.227806i
\(79\) −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 \(-0.778546\pi\)
0.767593 0.640938i \(-0.221454\pi\)
\(84\) 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 \(-0.310309\pi\)
0.997385 0.0722705i \(-0.0230245\pi\)
\(90\) −0.168352 + 0.269170i −0.0177459 + 0.0283730i
\(91\) 8.04879 + 5.12025i 0.843743 + 0.536748i
\(92\) 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 \(-0.351623\pi\)
0.449441 + 0.893310i \(0.351623\pi\)
\(98\) 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 0.768135 0.640287i \(-0.221185\pi\)
−0.170437 + 0.985368i \(0.554518\pi\)
\(110\) −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
\(117\) −0.906241 + 10.7786i −0.0837821 + 0.996484i
\(118\) 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
\(130\) 0.320796 + 0.206597i 0.0281357 + 0.0181197i
\(131\) 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 −0.714359 0.699780i \(-0.753282\pi\)
0.963206 + 0.268763i \(0.0866148\pi\)
\(138\) −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
\(143\) −2.35708 + 3.65999i −0.197109 + 0.306064i
\(144\) −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 0.999860 0.0167437i \(-0.00532993\pi\)
−0.514430 + 0.857532i \(0.671997\pi\)
\(150\) 6.21697 6.00114i 0.507613 0.489991i
\(151\) 15.7115 + 9.07106i 1.27859 + 0.738192i 0.976588 0.215116i \(-0.0690131\pi\)
0.301998 + 0.953309i \(0.402346\pi\)
\(152\) −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
\(156\) −1.21363 6.12594i −0.0971685 0.490467i
\(157\) −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 −0.676210 0.736709i \(-0.736379\pi\)
0.299904 + 0.953970i \(0.403045\pi\)
\(164\) −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 \(-0.884019\pi\)
0.934350 0.356356i \(-0.115981\pi\)
\(168\) −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 \(-0.165772\pi\)
\(182\) 0.409865 9.53058i 0.0303812 0.706454i
\(183\) −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 0.0346576 0.999399i \(-0.488966\pi\)
−0.848176 + 0.529714i \(0.822299\pi\)
\(194\) −4.42648 7.66690i −0.317803 0.550451i
\(195\) −0.212917 + 0.625655i −0.0152473 + 0.0448041i
\(196\) −6.99956 + 0.0780724i −0.499969 + 0.00557660i
\(197\) −8.81199 −0.627828 −0.313914 0.949451i \(-0.601640\pi\)
−0.313914 + 0.949451i \(0.601640\pi\)
\(198\) −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
\(208\) 1.64910 + 3.20632i 0.114344 + 0.222318i
\(209\) −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
\(221\) −4.45587 + 6.91893i −0.299735 + 0.465418i
\(222\) −3.90414 + 0.972545i −0.262029 + 0.0652729i
\(223\) −19.4124 −1.29995 −0.649975 0.759955i \(-0.725221\pi\)
−0.649975 + 0.759955i \(0.725221\pi\)
\(224\) 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 −0.0839133 0.996473i \(-0.526742\pi\)
−0.904928 + 0.425566i \(0.860075\pi\)
\(228\) 4.54535 4.38756i 0.301023 0.290573i
\(229\) −4.77500 8.27054i −0.315541 0.546533i 0.664012 0.747722i \(-0.268853\pi\)
−0.979552 + 0.201190i \(0.935519\pi\)
\(230\) −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 \(0.450609\pi\)
\(234\) 9.78768 4.60448i 0.639841 0.301005i
\(235\) 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 \(-0.336107\pi\)
0.492434 + 0.870350i \(0.336107\pi\)
\(240\) −0.177863 + 0.0443067i −0.0114810 + 0.00285998i
\(241\) −8.18626 + 14.1790i −0.527323 + 0.913351i 0.472170 + 0.881508i \(0.343471\pi\)
−0.999493 + 0.0318429i \(0.989862\pi\)
\(242\) 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
\(247\) 6.01493 + 11.6948i 0.382721 + 0.744120i
\(248\) 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 \(-0.932689\pi\)
0.307091 0.951680i \(-0.400644\pi\)
\(272\) −2.28248 −0.138396
\(273\) 16.1895 3.30131i 0.979836 0.199804i
\(274\) −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 \(-0.747084\pi\)
−0.700600 + 0.713554i \(0.747084\pi\)
\(282\) −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 \(0.0370078\pi\)
−0.993249 + 0.116002i \(0.962992\pi\)
\(294\) −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
\(299\) −3.13192 + 1.61083i −0.181124 + 0.0931568i
\(300\) −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 \(-0.532635\pi\)
−0.102347 + 0.994749i \(0.532635\pi\)
\(308\) −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 \(0.852463\pi\)
\(312\) −4.69840 + 4.11401i −0.265994 + 0.232910i
\(313\) −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 \(-0.895553\pi\)
0.194227 0.980957i \(-0.437780\pi\)
\(318\) 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
\(325\) 9.73917 15.1226i 0.540232 0.838853i
\(326\) 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 −0.541428 0.840747i \(-0.682116\pi\)
0.457395 + 0.889264i \(0.348783\pi\)
\(332\) 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 \(0.683306\pi\)
\(338\) −5.37778 11.8355i −0.292513 0.643767i
\(339\) −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 \(-0.544433\pi\)
−0.139139 + 0.990273i \(0.544433\pi\)
\(350\) −11.4674 6.53571i −0.612959 0.349349i
\(351\) 11.8365 + 14.5223i 0.631786 + 0.775143i
\(352\) 0.603696 + 1.04563i 0.0321771 + 0.0557324i
\(353\) −21.5387 12.4354i −1.14639 0.661869i −0.198386 0.980124i \(-0.563570\pi\)
−0.948005 + 0.318255i \(0.896903\pi\)
\(354\) −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 \(0.138313\pi\)
−0.0889571 + 0.996035i \(0.528353\pi\)
\(360\) −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
\(364\) −8.45866 + 4.41034i −0.443354 + 0.231165i
\(365\) 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 \(0.274440\pi\)
−0.650786 + 0.759261i \(0.725560\pi\)
\(380\) 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 −0.800355 0.599527i \(-0.795356\pi\)
0.119028 + 0.992891i \(0.462022\pi\)
\(384\) −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 \(0.573720\pi\)
\(390\) 0.648292 0.128436i 0.0328275 0.00650359i
\(391\) 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 \(0.0516909\pi\)
−0.353404 + 0.935471i \(0.614976\pi\)
\(398\) 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 \(0.164550\pi\)
−0.00665018 + 0.999978i \(0.502117\pi\)
\(402\) −7.85236 8.13476i −0.391640 0.405725i
\(403\) −2.38445 + 3.70249i −0.118778 + 0.184434i
\(404\) −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 −0.717257 0.696809i \(-0.754603\pi\)
0.962083 + 0.272759i \(0.0879360\pi\)
\(410\) 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
\(416\) 1.95221 3.03132i 0.0957148 0.148623i
\(417\) −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 \(0.0835440\pi\)
−0.965754 + 0.259458i \(0.916456\pi\)
\(422\) −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
\(429\) 1.46533 + 7.39641i 0.0707469 + 0.357102i
\(430\) −0.449477 0.259506i −0.0216757 0.0125145i
\(431\) 11.0130 19.0751i 0.530478 0.918816i −0.468889 0.883257i \(-0.655346\pi\)
0.999368 0.0355586i \(-0.0113211\pi\)
\(432\) −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 \(-0.610563\pi\)
−0.340400 + 0.940281i \(0.610563\pi\)
\(450\) 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
\(455\) 1.00860 + 0.0433750i 0.0472837 + 0.00203345i
\(456\) −6.07241 1.74261i −0.284367 0.0816052i
\(457\) 35.3848 20.4294i 1.65523 0.955647i 0.680357 0.732881i \(-0.261825\pi\)
0.974872 0.222766i \(-0.0715085\pi\)
\(458\) −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 \(0.0955265\pi\)
−0.955305 + 0.295621i \(0.904474\pi\)
\(462\) 5.36135 1.36734i 0.249433 0.0636146i
\(463\) 30.2556i 1.40610i 0.711141 + 0.703049i \(0.248179\pi\)
−0.711141 + 0.703049i \(0.751821\pi\)
\(464\) −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 \(0.948649\pi\)
\(468\) −8.88144 6.17414i −0.410545 0.285400i
\(469\) −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 \(-0.908008\pi\)
−0.726078 0.687612i \(-0.758659\pi\)
\(480\) 0.127302 + 0.131880i 0.00581052 + 0.00601949i
\(481\) −7.44809 + 3.83075i −0.339604 + 0.174667i
\(482\) 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 0.594061 0.804420i \(-0.297524\pi\)
−0.399617 + 0.916682i \(0.630857\pi\)
\(488\) −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
\(494\) 7.12050 11.0565i 0.320366 0.497454i
\(495\) −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 −0.914861 0.403769i \(-0.867700\pi\)
−0.107757 + 0.994177i \(0.534367\pi\)
\(500\) −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
\(507\) 17.6403 13.9936i 0.783434 0.621476i
\(508\) −6.89412 + 11.9410i −0.305877 + 0.529795i
\(509\) 34.0447 19.6557i 1.50901 0.871225i 0.509061 0.860730i \(-0.329993\pi\)
0.999945 0.0104951i \(-0.00334074\pi\)
\(510\) −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
\(520\) −0.339316 + 0.174519i −0.0148800 + 0.00765318i
\(521\) 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 −0.0850330 0.996378i \(-0.527100\pi\)
0.820372 + 0.571830i \(0.193766\pi\)
\(542\) −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
\(546\) −10.9538 12.3699i −0.468779 0.529383i
\(547\) −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 −0.743735 0.668475i \(-0.766948\pi\)
0.950783 + 0.309856i \(0.100281\pi\)
\(558\) −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 \(0.00346775\pi\)
\(572\) −1.99111 3.87129i −0.0832523 0.161867i
\(573\) −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 −0.814449 0.580235i \(-0.802961\pi\)
0.909723 + 0.415216i \(0.136294\pi\)
\(578\) 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
\(585\) 0.487280 + 1.03580i 0.0201466 + 0.0428252i
\(586\) 3.43921 1.98563i 0.142072 0.0820256i
\(587\) 36.9891i 1.52670i −0.645982 0.763352i \(-0.723552\pi\)
0.645982 0.763352i \(-0.276448\pi\)
\(588\) −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 0.0816289 0.996663i \(-0.473988\pi\)
0.903950 + 0.427639i \(0.140654\pi\)
\(594\) 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
\(598\) 2.96098 + 1.90691i 0.121084 + 0.0779792i
\(599\) −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
\(611\) −5.47790 + 2.81743i −0.221612 + 0.113981i
\(612\) 6.04728 3.21215i 0.244447 0.129844i
\(613\) 10.8577 + 6.26872i 0.438540 + 0.253191i 0.702978 0.711212i \(-0.251853\pi\)
−0.264438 + 0.964403i \(0.585187\pi\)
\(614\) 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 \(-0.550835\pi\)
−0.159026 + 0.987274i \(0.550835\pi\)
\(618\) 1.93902 0.483020i 0.0779986 0.0194299i
\(619\) −5.53340 + 9.58414i −0.222406 + 0.385219i −0.955538 0.294868i \(-0.904724\pi\)
0.733132 + 0.680086i \(0.238058\pi\)
\(620\) 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
\(624\) 5.91203 + 2.01193i 0.236671 + 0.0805417i
\(625\) −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 \(-0.882015\pi\)
0.932089 0.362230i \(-0.117985\pi\)
\(632\) −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
\(637\) −11.7933 22.3141i −0.467267 0.884116i
\(638\) 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 \(-0.390479\pi\)
0.337323 + 0.941389i \(0.390479\pi\)
\(644\) 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 −0.932087 0.362234i \(-0.882014\pi\)
0.779748 + 0.626094i \(0.215347\pi\)
\(662\) 1.52884 + 0.882679i 0.0594202 + 0.0343063i
\(663\) 2.77010 + 13.9823i 0.107582 + 0.543029i
\(664\) 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
\(676\) −7.56096 + 10.5751i −0.290806 + 0.406733i
\(677\) 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 \(0.453673\pi\)
−0.929383 + 0.369118i \(0.879660\pi\)
\(684\) 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
\(689\) 6.21019 + 3.99944i 0.236589 + 0.152366i
\(690\) −0.128820 + 0.124348i −0.00490411 + 0.00473386i
\(691\) 3.60774 + 6.24879i 0.137245 + 0.237715i 0.926453 0.376411i \(-0.122842\pi\)
−0.789208 + 0.614126i \(0.789509\pi\)
\(692\) 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 \(-0.125009\pi\)
\(702\) 6.65842 17.5119i 0.251306 0.660943i
\(703\) −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 −0.864184 0.503176i \(-0.832165\pi\)
0.00367133 + 0.999993i \(0.498831\pi\)
\(710\) −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 \(0.888680\pi\)
\(728\) 8.04879 + 5.12025i 0.298308 + 0.189769i
\(729\) −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 0.836502 0.547965i \(-0.184597\pi\)
−0.892802 + 0.450449i \(0.851264\pi\)
\(734\) 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 −0.152118 0.988362i \(-0.548609\pi\)
−0.932006 + 0.362443i \(0.881943\pi\)
\(740\) 0.122915 + 0.212896i 0.00451846 + 0.00782620i
\(741\) 21.5636 + 7.33834i 0.792159 + 0.269581i
\(742\) 2.68392 4.70915i 0.0985300 0.172878i
\(743\) 51.3542 1.88400 0.942002 0.335607i \(-0.108941\pi\)
0.942002 + 0.335607i \(0.108941\pi\)
\(744\) −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
\(754\) 22.5664 11.6065i 0.821821 0.422685i
\(755\) 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 −0.547650 0.836708i \(-0.684477\pi\)
0.450785 + 0.892633i \(0.351144\pi\)
\(762\) −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
\(767\) −31.6431 20.3785i −1.14257 0.735826i
\(768\) 0.418670 + 1.68069i 0.0151074 + 0.0606466i
\(769\) −44.6644 −1.61064 −0.805320 0.592840i \(-0.798007\pi\)
−0.805320 + 0.592840i \(0.798007\pi\)
\(770\) 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 \(0.0375283\pi\)
0.598396 + 0.801201i \(0.295805\pi\)
\(774\) −12.9937 + 6.90189i −0.467