Properties

Label 168.2.ba.c.101.22
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.22
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.33258 - 0.473539i) q^{2} +(0.0574700 + 1.73110i) q^{3} +(1.55152 - 1.26205i) q^{4} +(-0.461663 + 0.266541i) q^{5} +(0.896325 + 2.27961i) q^{6} +(0.489180 + 2.60014i) q^{7} +(1.46989 - 2.41649i) q^{8} +(-2.99339 + 0.198972i) q^{9} +O(q^{10})\) \(q+(1.33258 - 0.473539i) q^{2} +(0.0574700 + 1.73110i) q^{3} +(1.55152 - 1.26205i) q^{4} +(-0.461663 + 0.266541i) q^{5} +(0.896325 + 2.27961i) q^{6} +(0.489180 + 2.60014i) q^{7} +(1.46989 - 2.41649i) q^{8} +(-2.99339 + 0.198972i) q^{9} +(-0.488984 + 0.573802i) q^{10} +(2.28733 - 3.96177i) q^{11} +(2.27390 + 2.61331i) q^{12} -4.97924 q^{13} +(1.88313 + 3.23323i) q^{14} +(-0.487941 - 0.783866i) q^{15} +(0.814443 - 3.91621i) q^{16} +(2.16139 - 3.74363i) q^{17} +(-3.89471 + 1.68263i) q^{18} +(0.921087 + 1.59537i) q^{19} +(-0.379891 + 0.996188i) q^{20} +(-4.47297 + 0.996248i) q^{21} +(1.17199 - 6.36250i) q^{22} +(-0.103387 + 0.0596907i) q^{23} +(4.26765 + 2.40565i) q^{24} +(-2.35791 + 4.08402i) q^{25} +(-6.63522 + 2.35786i) q^{26} +(-0.516471 - 5.17042i) q^{27} +(4.04048 + 3.41680i) q^{28} -7.74542 q^{29} +(-1.02141 - 0.813502i) q^{30} +(-1.93668 - 1.11814i) q^{31} +(-0.769168 - 5.60432i) q^{32} +(6.98966 + 3.73191i) q^{33} +(1.10746 - 6.01218i) q^{34} +(-0.918880 - 1.07000i) q^{35} +(-4.39320 + 4.08653i) q^{36} +(7.02261 - 4.05451i) q^{37} +(1.98289 + 1.68978i) q^{38} +(-0.286157 - 8.61955i) q^{39} +(-0.0345007 + 1.50739i) q^{40} -2.60914 q^{41} +(-5.48882 + 3.44570i) q^{42} +1.87217i q^{43} +(-1.45112 - 9.03351i) q^{44} +(1.32891 - 0.889722i) q^{45} +(-0.109506 + 0.128500i) q^{46} +(2.91482 + 5.04861i) q^{47} +(6.82614 + 1.18482i) q^{48} +(-6.52141 + 2.54387i) q^{49} +(-1.20816 + 6.55884i) q^{50} +(6.60480 + 3.52642i) q^{51} +(-7.72540 + 6.28407i) q^{52} +(-2.29287 + 3.97137i) q^{53} +(-3.13663 - 6.64542i) q^{54} +2.43867i q^{55} +(7.00224 + 2.63982i) q^{56} +(-2.70880 + 1.68618i) q^{57} +(-10.3214 + 3.66775i) q^{58} +(5.71492 + 3.29951i) q^{59} +(-1.74633 - 0.600378i) q^{60} +(1.07564 + 1.86306i) q^{61} +(-3.11026 - 0.572919i) q^{62} +(-1.98166 - 7.68590i) q^{63} +(-3.67884 - 7.10395i) q^{64} +(2.29873 - 1.32717i) q^{65} +(11.0815 + 1.66318i) q^{66} +(10.4812 + 6.05131i) q^{67} +(-1.37122 - 8.53611i) q^{68} +(-0.109272 - 0.175543i) q^{69} +(-1.73116 - 0.990732i) q^{70} +6.20627i q^{71} +(-3.91915 + 7.52597i) q^{72} +(8.35520 + 4.82388i) q^{73} +(7.43820 - 8.72842i) q^{74} +(-7.20535 - 3.84706i) q^{75} +(3.44253 + 1.31279i) q^{76} +(11.4201 + 4.00935i) q^{77} +(-4.46302 - 11.3507i) q^{78} +(-0.0228792 - 0.0396280i) q^{79} +(0.667833 + 2.02505i) q^{80} +(8.92082 - 1.19121i) q^{81} +(-3.47688 + 1.23553i) q^{82} -3.86459i q^{83} +(-5.68260 + 7.19083i) q^{84} +2.30440i q^{85} +(0.886545 + 2.49481i) q^{86} +(-0.445129 - 13.4081i) q^{87} +(-6.21145 - 11.3507i) q^{88} +(-8.23362 - 14.2610i) q^{89} +(1.34955 - 1.81491i) q^{90} +(-2.43575 - 12.9467i) q^{91} +(-0.0850749 + 0.223092i) q^{92} +(1.82431 - 3.41684i) q^{93} +(6.27493 + 5.34738i) q^{94} +(-0.850463 - 0.491015i) q^{95} +(9.65741 - 1.65358i) q^{96} -7.18828i q^{97} +(-7.48565 + 6.47804i) q^{98} +(-6.05860 + 12.3143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33258 0.473539i 0.942274 0.334842i
\(3\) 0.0574700 + 1.73110i 0.0331803 + 0.999449i
\(4\) 1.55152 1.26205i 0.775761 0.631027i
\(5\) −0.461663 + 0.266541i −0.206462 + 0.119201i −0.599666 0.800250i \(-0.704700\pi\)
0.393204 + 0.919451i \(0.371367\pi\)
\(6\) 0.896325 + 2.27961i 0.365923 + 0.930645i
\(7\) 0.489180 + 2.60014i 0.184893 + 0.982759i
\(8\) 1.46989 2.41649i 0.519685 0.854358i
\(9\) −2.99339 + 0.198972i −0.997798 + 0.0663241i
\(10\) −0.488984 + 0.573802i −0.154630 + 0.181452i
\(11\) 2.28733 3.96177i 0.689656 1.19452i −0.282293 0.959328i \(-0.591095\pi\)
0.971949 0.235191i \(-0.0755716\pi\)
\(12\) 2.27390 + 2.61331i 0.656419 + 0.754396i
\(13\) −4.97924 −1.38099 −0.690496 0.723336i \(-0.742608\pi\)
−0.690496 + 0.723336i \(0.742608\pi\)
\(14\) 1.88313 + 3.23323i 0.503289 + 0.864118i
\(15\) −0.487941 0.783866i −0.125986 0.202393i
\(16\) 0.814443 3.91621i 0.203611 0.979052i
\(17\) 2.16139 3.74363i 0.524213 0.907964i −0.475389 0.879775i \(-0.657693\pi\)
0.999603 0.0281884i \(-0.00897383\pi\)
\(18\) −3.89471 + 1.68263i −0.917991 + 0.396601i
\(19\) 0.921087 + 1.59537i 0.211312 + 0.366003i 0.952125 0.305708i \(-0.0988931\pi\)
−0.740814 + 0.671711i \(0.765560\pi\)
\(20\) −0.379891 + 0.996188i −0.0849463 + 0.222754i
\(21\) −4.47297 + 0.996248i −0.976083 + 0.217399i
\(22\) 1.17199 6.36250i 0.249869 1.35649i
\(23\) −0.103387 + 0.0596907i −0.0215577 + 0.0124464i −0.510740 0.859735i \(-0.670629\pi\)
0.489182 + 0.872182i \(0.337295\pi\)
\(24\) 4.26765 + 2.40565i 0.871131 + 0.491051i
\(25\) −2.35791 + 4.08402i −0.471582 + 0.816804i
\(26\) −6.63522 + 2.35786i −1.30127 + 0.462415i
\(27\) −0.516471 5.17042i −0.0993949 0.995048i
\(28\) 4.04048 + 3.41680i 0.763580 + 0.645714i
\(29\) −7.74542 −1.43829 −0.719144 0.694861i \(-0.755466\pi\)
−0.719144 + 0.694861i \(0.755466\pi\)
\(30\) −1.02141 0.813502i −0.186483 0.148525i
\(31\) −1.93668 1.11814i −0.347838 0.200825i 0.315894 0.948794i \(-0.397695\pi\)
−0.663733 + 0.747970i \(0.731029\pi\)
\(32\) −0.769168 5.60432i −0.135971 0.990713i
\(33\) 6.98966 + 3.73191i 1.21674 + 0.649642i
\(34\) 1.10746 6.01218i 0.189928 1.03108i
\(35\) −0.918880 1.07000i −0.155319 0.180863i
\(36\) −4.39320 + 4.08653i −0.732201 + 0.681089i
\(37\) 7.02261 4.05451i 1.15451 0.666557i 0.204528 0.978861i \(-0.434434\pi\)
0.949982 + 0.312304i \(0.101101\pi\)
\(38\) 1.98289 + 1.68978i 0.321667 + 0.274119i
\(39\) −0.286157 8.61955i −0.0458218 1.38023i
\(40\) −0.0345007 + 1.50739i −0.00545504 + 0.238339i
\(41\) −2.60914 −0.407479 −0.203740 0.979025i \(-0.565310\pi\)
−0.203740 + 0.979025i \(0.565310\pi\)
\(42\) −5.48882 + 3.44570i −0.846943 + 0.531683i
\(43\) 1.87217i 0.285503i 0.989759 + 0.142752i \(0.0455950\pi\)
−0.989759 + 0.142752i \(0.954405\pi\)
\(44\) −1.45112 9.03351i −0.218765 1.36185i
\(45\) 1.32891 0.889722i 0.198102 0.132632i
\(46\) −0.109506 + 0.128500i −0.0161457 + 0.0189463i
\(47\) 2.91482 + 5.04861i 0.425170 + 0.736415i 0.996436 0.0843492i \(-0.0268811\pi\)
−0.571267 + 0.820764i \(0.693548\pi\)
\(48\) 6.82614 + 1.18482i 0.985269 + 0.171013i
\(49\) −6.52141 + 2.54387i −0.931629 + 0.363410i
\(50\) −1.20816 + 6.55884i −0.170859 + 0.927559i
\(51\) 6.60480 + 3.52642i 0.924857 + 0.493798i
\(52\) −7.72540 + 6.28407i −1.07132 + 0.871443i
\(53\) −2.29287 + 3.97137i −0.314950 + 0.545510i −0.979427 0.201799i \(-0.935321\pi\)
0.664476 + 0.747309i \(0.268655\pi\)
\(54\) −3.13663 6.64542i −0.426842 0.904326i
\(55\) 2.43867i 0.328830i
\(56\) 7.00224 + 2.63982i 0.935714 + 0.352761i
\(57\) −2.70880 + 1.68618i −0.358790 + 0.223339i
\(58\) −10.3214 + 3.66775i −1.35526 + 0.481600i
\(59\) 5.71492 + 3.29951i 0.744019 + 0.429559i 0.823529 0.567275i \(-0.192002\pi\)
−0.0795100 + 0.996834i \(0.525336\pi\)
\(60\) −1.74633 0.600378i −0.225450 0.0775084i
\(61\) 1.07564 + 1.86306i 0.137722 + 0.238541i 0.926634 0.375965i \(-0.122689\pi\)
−0.788912 + 0.614506i \(0.789355\pi\)
\(62\) −3.11026 0.572919i −0.395004 0.0727608i
\(63\) −1.98166 7.68590i −0.249666 0.968332i
\(64\) −3.67884 7.10395i −0.459855 0.887994i
\(65\) 2.29873 1.32717i 0.285123 0.164616i
\(66\) 11.0815 + 1.66318i 1.36403 + 0.204723i
\(67\) 10.4812 + 6.05131i 1.28048 + 0.739285i 0.976936 0.213532i \(-0.0684968\pi\)
0.303544 + 0.952817i \(0.401830\pi\)
\(68\) −1.37122 8.53611i −0.166285 1.03516i
\(69\) −0.109272 0.175543i −0.0131548 0.0211329i
\(70\) −1.73116 0.990732i −0.206914 0.118415i
\(71\) 6.20627i 0.736549i 0.929717 + 0.368275i \(0.120051\pi\)
−0.929717 + 0.368275i \(0.879949\pi\)
\(72\) −3.91915 + 7.52597i −0.461876 + 0.886944i
\(73\) 8.35520 + 4.82388i 0.977902 + 0.564592i 0.901636 0.432496i \(-0.142367\pi\)
0.0762659 + 0.997088i \(0.475700\pi\)
\(74\) 7.43820 8.72842i 0.864673 1.01466i
\(75\) −7.20535 3.84706i −0.832002 0.444221i
\(76\) 3.44253 + 1.31279i 0.394885 + 0.150587i
\(77\) 11.4201 + 4.00935i 1.30144 + 0.456908i
\(78\) −4.46302 11.3507i −0.505337 1.28521i
\(79\) −0.0228792 0.0396280i −0.00257411 0.00445849i 0.864735 0.502228i \(-0.167486\pi\)
−0.867310 + 0.497769i \(0.834153\pi\)
\(80\) 0.667833 + 2.02505i 0.0746660 + 0.226408i
\(81\) 8.92082 1.19121i 0.991202 0.132356i
\(82\) −3.47688 + 1.23553i −0.383957 + 0.136441i
\(83\) 3.86459i 0.424194i −0.977249 0.212097i \(-0.931971\pi\)
0.977249 0.212097i \(-0.0680292\pi\)
\(84\) −5.68260 + 7.19083i −0.620022 + 0.784584i
\(85\) 2.30440i 0.249947i
\(86\) 0.886545 + 2.49481i 0.0955986 + 0.269022i
\(87\) −0.445129 13.4081i −0.0477229 1.43750i
\(88\) −6.21145 11.3507i −0.662143 1.20999i
\(89\) −8.23362 14.2610i −0.872762 1.51167i −0.859128 0.511761i \(-0.828993\pi\)
−0.0136336 0.999907i \(-0.504340\pi\)
\(90\) 1.34955 1.81491i 0.142255 0.191308i
\(91\) −2.43575 12.9467i −0.255335 1.35718i
\(92\) −0.0850749 + 0.223092i −0.00886967 + 0.0232589i
\(93\) 1.82431 3.41684i 0.189173 0.354310i
\(94\) 6.27493 + 5.34738i 0.647209 + 0.551540i
\(95\) −0.850463 0.491015i −0.0872557 0.0503771i
\(96\) 9.65741 1.65358i 0.985656 0.168768i
\(97\) 7.18828i 0.729859i −0.931035 0.364930i \(-0.881093\pi\)
0.931035 0.364930i \(-0.118907\pi\)
\(98\) −7.48565 + 6.47804i −0.756165 + 0.654381i
\(99\) −6.05860 + 12.3143i −0.608912 + 1.23763i
\(100\) 1.49590 + 9.31226i 0.149590 + 0.931226i
\(101\) 3.33419 + 1.92499i 0.331764 + 0.191544i 0.656624 0.754218i \(-0.271984\pi\)
−0.324860 + 0.945762i \(0.605317\pi\)
\(102\) 10.4713 + 1.57160i 1.03681 + 0.155612i
\(103\) −4.61020 + 2.66170i −0.454256 + 0.262265i −0.709626 0.704578i \(-0.751136\pi\)
0.255370 + 0.966843i \(0.417803\pi\)
\(104\) −7.31894 + 12.0323i −0.717682 + 1.17986i
\(105\) 1.79947 1.65216i 0.175610 0.161235i
\(106\) −1.17483 + 6.37793i −0.114110 + 0.619479i
\(107\) 4.60634 + 7.97842i 0.445312 + 0.771303i 0.998074 0.0620363i \(-0.0197594\pi\)
−0.552762 + 0.833339i \(0.686426\pi\)
\(108\) −7.32666 7.37021i −0.705009 0.709199i
\(109\) 4.24194 + 2.44909i 0.406304 + 0.234580i 0.689201 0.724571i \(-0.257962\pi\)
−0.282896 + 0.959151i \(0.591295\pi\)
\(110\) 1.15481 + 3.24972i 0.110106 + 0.309848i
\(111\) 7.42233 + 11.9238i 0.704497 + 1.13176i
\(112\) 10.5811 + 0.201931i 0.999818 + 0.0190807i
\(113\) 3.87615i 0.364637i 0.983240 + 0.182319i \(0.0583602\pi\)
−0.983240 + 0.182319i \(0.941640\pi\)
\(114\) −2.81122 + 3.52968i −0.263295 + 0.330585i
\(115\) 0.0318201 0.0551140i 0.00296724 0.00513941i
\(116\) −12.0172 + 9.77513i −1.11577 + 0.907598i
\(117\) 14.9048 0.990731i 1.37795 0.0915932i
\(118\) 9.17801 + 1.69061i 0.844904 + 0.155634i
\(119\) 10.7913 + 3.78859i 0.989233 + 0.347299i
\(120\) −2.61142 + 0.0269057i −0.238389 + 0.00245615i
\(121\) −4.96376 8.59748i −0.451251 0.781589i
\(122\) 2.31560 + 1.97332i 0.209645 + 0.178656i
\(123\) −0.149947 4.51667i −0.0135203 0.407255i
\(124\) −4.41596 + 0.709371i −0.396565 + 0.0637034i
\(125\) 5.17934i 0.463254i
\(126\) −6.28029 9.30365i −0.559493 0.828835i
\(127\) 8.19005 0.726750 0.363375 0.931643i \(-0.381624\pi\)
0.363375 + 0.931643i \(0.381624\pi\)
\(128\) −8.26633 7.72449i −0.730647 0.682755i
\(129\) −3.24091 + 0.107594i −0.285346 + 0.00947310i
\(130\) 2.43477 2.85710i 0.213543 0.250584i
\(131\) −18.5565 + 10.7136i −1.62129 + 0.936053i −0.634715 + 0.772746i \(0.718883\pi\)
−0.986575 + 0.163306i \(0.947784\pi\)
\(132\) 15.5545 3.03119i 1.35384 0.263831i
\(133\) −3.69760 + 3.17537i −0.320622 + 0.275340i
\(134\) 16.8325 + 3.10059i 1.45411 + 0.267851i
\(135\) 1.61657 + 2.24933i 0.139132 + 0.193592i
\(136\) −5.86944 10.7257i −0.503300 0.919721i
\(137\) −3.91533 2.26052i −0.334509 0.193129i 0.323332 0.946286i \(-0.395197\pi\)
−0.657841 + 0.753157i \(0.728530\pi\)
\(138\) −0.228740 0.182180i −0.0194716 0.0155082i
\(139\) −14.8300 −1.25786 −0.628931 0.777461i \(-0.716507\pi\)
−0.628931 + 0.777461i \(0.716507\pi\)
\(140\) −2.77606 0.500453i −0.234620 0.0422960i
\(141\) −8.57212 + 5.33597i −0.721903 + 0.449370i
\(142\) 2.93891 + 8.27034i 0.246628 + 0.694031i
\(143\) −11.3892 + 19.7266i −0.952410 + 1.64962i
\(144\) −1.65873 + 11.8848i −0.138228 + 0.990400i
\(145\) 3.57577 2.06447i 0.296952 0.171445i
\(146\) 13.4182 + 2.47168i 1.11050 + 0.204557i
\(147\) −4.77847 11.1430i −0.394121 0.919058i
\(148\) 5.77873 15.1536i 0.475009 1.24562i
\(149\) −10.7714 18.6566i −0.882425 1.52841i −0.848636 0.528977i \(-0.822576\pi\)
−0.0337890 0.999429i \(-0.510757\pi\)
\(150\) −11.4234 1.71450i −0.932718 0.139988i
\(151\) 1.40767 2.43816i 0.114555 0.198415i −0.803047 0.595916i \(-0.796789\pi\)
0.917602 + 0.397501i \(0.130122\pi\)
\(152\) 5.20909 + 0.119224i 0.422513 + 0.00967034i
\(153\) −5.72500 + 11.6362i −0.462839 + 0.940733i
\(154\) 17.1167 0.0650753i 1.37930 0.00524392i
\(155\) 1.19213 0.0957539
\(156\) −11.3223 13.0123i −0.906510 1.04182i
\(157\) 3.54427 6.13885i 0.282863 0.489933i −0.689226 0.724547i \(-0.742049\pi\)
0.972089 + 0.234613i \(0.0753824\pi\)
\(158\) −0.0492537 0.0419731i −0.00391841 0.00333920i
\(159\) −7.00661 3.74095i −0.555660 0.296677i
\(160\) 1.84888 + 2.38229i 0.146167 + 0.188337i
\(161\) −0.205779 0.239622i −0.0162176 0.0188848i
\(162\) 11.3236 5.81173i 0.889666 0.456612i
\(163\) −5.64257 + 3.25774i −0.441960 + 0.255166i −0.704429 0.709775i \(-0.748797\pi\)
0.262469 + 0.964941i \(0.415463\pi\)
\(164\) −4.04814 + 3.29287i −0.316106 + 0.257130i
\(165\) −4.22158 + 0.140151i −0.328649 + 0.0109107i
\(166\) −1.83003 5.14986i −0.142038 0.399707i
\(167\) −17.2470 −1.33462 −0.667308 0.744782i \(-0.732553\pi\)
−0.667308 + 0.744782i \(0.732553\pi\)
\(168\) −4.16736 + 12.2733i −0.321519 + 0.946903i
\(169\) 11.7928 0.907141
\(170\) 1.09122 + 3.07078i 0.0836928 + 0.235518i
\(171\) −3.07461 4.59230i −0.235121 0.351182i
\(172\) 2.36278 + 2.90471i 0.180160 + 0.221482i
\(173\) 14.5387 8.39395i 1.10536 0.638180i 0.167737 0.985832i \(-0.446354\pi\)
0.937624 + 0.347652i \(0.113021\pi\)
\(174\) −6.94241 17.6565i −0.526303 1.33854i
\(175\) −11.7725 4.13307i −0.889914 0.312430i
\(176\) −13.6522 12.1843i −1.02907 0.918426i
\(177\) −5.38333 + 10.0827i −0.404636 + 0.757862i
\(178\) −17.7251 15.1050i −1.32855 1.13217i
\(179\) −2.00982 + 3.48110i −0.150221 + 0.260190i −0.931309 0.364231i \(-0.881332\pi\)
0.781088 + 0.624421i \(0.214665\pi\)
\(180\) 0.938950 3.05757i 0.0699852 0.227898i
\(181\) −14.8596 −1.10451 −0.552253 0.833676i \(-0.686232\pi\)
−0.552253 + 0.833676i \(0.686232\pi\)
\(182\) −9.37658 16.0991i −0.695038 1.19334i
\(183\) −3.16332 + 1.96911i −0.233840 + 0.145561i
\(184\) −0.00772627 + 0.337573i −0.000569588 + 0.0248862i
\(185\) −2.16139 + 3.74363i −0.158908 + 0.275237i
\(186\) 0.813031 5.41709i 0.0596143 0.397200i
\(187\) −9.88761 17.1258i −0.723053 1.25237i
\(188\) 10.8940 + 4.15438i 0.794528 + 0.302989i
\(189\) 13.1911 3.87216i 0.959515 0.281658i
\(190\) −1.36582 0.251588i −0.0990872 0.0182521i
\(191\) 17.1154 9.88159i 1.23843 0.715006i 0.269655 0.962957i \(-0.413090\pi\)
0.968773 + 0.247951i \(0.0797570\pi\)
\(192\) 12.0862 6.77669i 0.872247 0.489065i
\(193\) −6.29229 + 10.8986i −0.452929 + 0.784496i −0.998566 0.0535255i \(-0.982954\pi\)
0.545638 + 0.838021i \(0.316287\pi\)
\(194\) −3.40393 9.57894i −0.244388 0.687728i
\(195\) 2.42957 + 3.90305i 0.173985 + 0.279504i
\(196\) −6.90761 + 12.1772i −0.493401 + 0.869802i
\(197\) 8.41804 0.599761 0.299880 0.953977i \(-0.403053\pi\)
0.299880 + 0.953977i \(0.403053\pi\)
\(198\) −2.24227 + 19.2787i −0.159351 + 1.37008i
\(199\) 12.3980 + 7.15800i 0.878873 + 0.507417i 0.870287 0.492546i \(-0.163934\pi\)
0.00858618 + 0.999963i \(0.497267\pi\)
\(200\) 6.40312 + 11.7009i 0.452769 + 0.827381i
\(201\) −9.87305 + 18.4917i −0.696392 + 1.30430i
\(202\) 5.35462 + 0.986336i 0.376750 + 0.0693983i
\(203\) −3.78890 20.1391i −0.265929 1.41349i
\(204\) 14.6980 2.86429i 1.02907 0.200540i
\(205\) 1.20454 0.695443i 0.0841290 0.0485719i
\(206\) −4.88303 + 5.73003i −0.340217 + 0.399230i
\(207\) 0.297602 0.199249i 0.0206848 0.0138488i
\(208\) −4.05531 + 19.4997i −0.281185 + 1.35206i
\(209\) 8.42732 0.582930
\(210\) 1.61556 3.05375i 0.111484 0.210729i
\(211\) 9.62315i 0.662485i 0.943546 + 0.331243i \(0.107468\pi\)
−0.943546 + 0.331243i \(0.892532\pi\)
\(212\) 1.45464 + 9.05541i 0.0999051 + 0.621928i
\(213\) −10.7437 + 0.356675i −0.736144 + 0.0244390i
\(214\) 9.91640 + 8.45058i 0.677871 + 0.577669i
\(215\) −0.499011 0.864312i −0.0340323 0.0589456i
\(216\) −13.2534 6.35191i −0.901781 0.432193i
\(217\) 1.95994 5.58261i 0.133049 0.378972i
\(218\) 6.81245 + 1.25487i 0.461397 + 0.0849907i
\(219\) −7.87042 + 14.7409i −0.531834 + 0.996097i
\(220\) 3.07773 + 3.78365i 0.207501 + 0.255094i
\(221\) −10.7621 + 18.6404i −0.723935 + 1.25389i
\(222\) 15.5372 + 12.3746i 1.04279 + 0.830531i
\(223\) 20.1840i 1.35162i −0.737076 0.675810i \(-0.763794\pi\)
0.737076 0.675810i \(-0.236206\pi\)
\(224\) 14.1957 4.74146i 0.948492 0.316802i
\(225\) 6.24555 12.6942i 0.416370 0.846283i
\(226\) 1.83551 + 5.16526i 0.122096 + 0.343588i
\(227\) 1.03403 + 0.597000i 0.0686313 + 0.0396243i 0.533923 0.845533i \(-0.320717\pi\)
−0.465292 + 0.885157i \(0.654051\pi\)
\(228\) −2.07472 + 6.03479i −0.137402 + 0.399664i
\(229\) 11.4021 + 19.7490i 0.753472 + 1.30505i 0.946130 + 0.323786i \(0.104956\pi\)
−0.192658 + 0.981266i \(0.561711\pi\)
\(230\) 0.0163041 0.0885117i 0.00107506 0.00583629i
\(231\) −6.28426 + 19.9996i −0.413474 + 1.31588i
\(232\) −11.3849 + 18.7167i −0.747457 + 1.22881i
\(233\) 14.1080 8.14528i 0.924249 0.533615i 0.0392607 0.999229i \(-0.487500\pi\)
0.884988 + 0.465614i \(0.154166\pi\)
\(234\) 19.3927 8.37824i 1.26774 0.547703i
\(235\) −2.69133 1.55384i −0.175563 0.101361i
\(236\) 13.0310 2.09327i 0.848244 0.136260i
\(237\) 0.0672850 0.0418836i 0.00437063 0.00272063i
\(238\) 16.1742 0.0614922i 1.04842 0.00398594i
\(239\) 20.2417i 1.30933i −0.755920 0.654664i \(-0.772810\pi\)
0.755920 0.654664i \(-0.227190\pi\)
\(240\) −3.46718 + 1.27246i −0.223806 + 0.0821372i
\(241\) −7.99312 4.61483i −0.514882 0.297267i 0.219956 0.975510i \(-0.429409\pi\)
−0.734838 + 0.678242i \(0.762742\pi\)
\(242\) −10.6858 9.10627i −0.686911 0.585373i
\(243\) 2.57477 + 15.3743i 0.165172 + 0.986265i
\(244\) 4.02016 + 1.53307i 0.257365 + 0.0981446i
\(245\) 2.33265 2.91263i 0.149027 0.186081i
\(246\) −2.33864 5.94781i −0.149106 0.379218i
\(247\) −4.58631 7.94372i −0.291820 0.505447i
\(248\) −5.54869 + 3.03642i −0.352342 + 0.192813i
\(249\) 6.68998 0.222098i 0.423960 0.0140749i
\(250\) −2.45262 6.90186i −0.155117 0.436512i
\(251\) 8.22152i 0.518938i −0.965751 0.259469i \(-0.916452\pi\)
0.965751 0.259469i \(-0.0835475\pi\)
\(252\) −12.7746 9.42387i −0.804725 0.593648i
\(253\) 0.546129i 0.0343349i
\(254\) 10.9139 3.87831i 0.684797 0.243347i
\(255\) −3.98913 + 0.132434i −0.249809 + 0.00829332i
\(256\) −14.6734 6.37906i −0.917085 0.398691i
\(257\) −6.71468 11.6302i −0.418850 0.725470i 0.576974 0.816763i \(-0.304233\pi\)
−0.995824 + 0.0912928i \(0.970900\pi\)
\(258\) −4.26781 + 1.67807i −0.265702 + 0.104472i
\(259\) 13.9776 + 16.2763i 0.868525 + 1.01136i
\(260\) 1.89157 4.96026i 0.117310 0.307622i
\(261\) 23.1851 1.54112i 1.43512 0.0953932i
\(262\) −19.6547 + 23.0639i −1.21427 + 1.42489i
\(263\) 13.0415 + 7.52949i 0.804170 + 0.464288i 0.844927 0.534881i \(-0.179644\pi\)
−0.0407569 + 0.999169i \(0.512977\pi\)
\(264\) 19.2922 11.4049i 1.18735 0.701926i
\(265\) 2.44458i 0.150170i
\(266\) −3.42367 + 5.98238i −0.209919 + 0.366803i
\(267\) 24.2141 15.0728i 1.48188 0.922439i
\(268\) 23.8989 3.83906i 1.45986 0.234508i
\(269\) −11.5014 6.64035i −0.701254 0.404869i 0.106560 0.994306i \(-0.466016\pi\)
−0.807814 + 0.589437i \(0.799350\pi\)
\(270\) 3.21934 + 2.23190i 0.195923 + 0.135829i
\(271\) 16.2954 9.40818i 0.989878 0.571506i 0.0846401 0.996412i \(-0.473026\pi\)
0.905238 + 0.424905i \(0.139693\pi\)
\(272\) −12.9005 11.5134i −0.782208 0.698103i
\(273\) 22.2720 4.96056i 1.34796 0.300227i
\(274\) −6.28792 1.15825i −0.379867 0.0699726i
\(275\) 10.7866 + 18.6830i 0.650459 + 1.12663i
\(276\) −0.391083 0.134452i −0.0235404 0.00809305i
\(277\) −20.1344 11.6246i −1.20976 0.698454i −0.247052 0.969002i \(-0.579462\pi\)
−0.962706 + 0.270548i \(0.912795\pi\)
\(278\) −19.7621 + 7.02256i −1.18525 + 0.421185i
\(279\) 6.01973 + 2.96170i 0.360392 + 0.177312i
\(280\) −3.93630 + 0.647679i −0.235239 + 0.0387062i
\(281\) 21.2736i 1.26908i 0.772892 + 0.634538i \(0.218810\pi\)
−0.772892 + 0.634538i \(0.781190\pi\)
\(282\) −8.89622 + 11.1698i −0.529762 + 0.665153i
\(283\) 4.31186 7.46836i 0.256314 0.443948i −0.708938 0.705271i \(-0.750825\pi\)
0.965251 + 0.261323i \(0.0841587\pi\)
\(284\) 7.83265 + 9.62917i 0.464782 + 0.571386i
\(285\) 0.801119 1.50045i 0.0474542 0.0888792i
\(286\) −5.83563 + 31.6804i −0.345068 + 1.87330i
\(287\) −1.27634 6.78411i −0.0753399 0.400454i
\(288\) 3.41753 + 16.6229i 0.201380 + 0.979513i
\(289\) −0.843181 1.46043i −0.0495989 0.0859078i
\(290\) 3.78739 4.44434i 0.222403 0.260980i
\(291\) 12.4436 0.413111i 0.729457 0.0242170i
\(292\) 19.0513 3.06035i 1.11489 0.179094i
\(293\) 22.7441i 1.32872i 0.747411 + 0.664362i \(0.231297\pi\)
−0.747411 + 0.664362i \(0.768703\pi\)
\(294\) −11.6443 12.5861i −0.679110 0.734036i
\(295\) −3.51782 −0.204815
\(296\) 0.524809 22.9297i 0.0305039 1.33276i
\(297\) −21.6654 9.78032i −1.25715 0.567512i
\(298\) −23.1883 19.7606i −1.34326 1.14470i
\(299\) 0.514790 0.297214i 0.0297711 0.0171883i
\(300\) −16.0345 + 3.12473i −0.925750 + 0.180406i
\(301\) −4.86790 + 0.915828i −0.280581 + 0.0527875i
\(302\) 0.721270 3.91563i 0.0415044 0.225319i
\(303\) −3.14074 + 5.88243i −0.180431 + 0.337937i
\(304\) 6.99797 2.30783i 0.401361 0.132363i
\(305\) −0.993166 0.573405i −0.0568685 0.0328331i
\(306\) −2.11881 + 18.2172i −0.121124 + 1.04141i
\(307\) 22.8169 1.30223 0.651114 0.758980i \(-0.274302\pi\)
0.651114 + 0.758980i \(0.274302\pi\)
\(308\) 22.7785 8.19213i 1.29792 0.466790i
\(309\) −4.87261 7.82773i −0.277193 0.445304i
\(310\) 1.58860 0.564518i 0.0902264 0.0320625i
\(311\) 11.9871 20.7622i 0.679725 1.17732i −0.295339 0.955393i \(-0.595433\pi\)
0.975064 0.221925i \(-0.0712341\pi\)
\(312\) −21.2497 11.9783i −1.20303 0.678138i
\(313\) 19.4419 11.2248i 1.09892 0.634463i 0.162984 0.986629i \(-0.447888\pi\)
0.935938 + 0.352166i \(0.114555\pi\)
\(314\) 1.81602 9.85883i 0.102484 0.556366i
\(315\) 2.96347 + 3.02010i 0.166973 + 0.170163i
\(316\) −0.0855102 0.0326089i −0.00481032 0.00183439i
\(317\) −1.06072 1.83723i −0.0595762 0.103189i 0.834699 0.550706i \(-0.185642\pi\)
−0.894275 + 0.447517i \(0.852308\pi\)
\(318\) −11.1083 1.66721i −0.622924 0.0934924i
\(319\) −17.7163 + 30.6856i −0.991924 + 1.71806i
\(320\) 3.59188 + 2.29907i 0.200792 + 0.128522i
\(321\) −13.5467 + 8.43255i −0.756103 + 0.470659i
\(322\) −0.387686 0.221870i −0.0216049 0.0123643i
\(323\) 7.96330 0.443090
\(324\) 12.3375 13.1067i 0.685416 0.728152i
\(325\) 11.7406 20.3353i 0.651252 1.12800i
\(326\) −5.97649 + 7.01316i −0.331007 + 0.388423i
\(327\) −3.99582 + 7.48396i −0.220969 + 0.413864i
\(328\) −3.83515 + 6.30496i −0.211761 + 0.348133i
\(329\) −11.7012 + 10.0486i −0.645108 + 0.553997i
\(330\) −5.55921 + 2.18584i −0.306024 + 0.120327i
\(331\) −1.25478 + 0.724448i −0.0689689 + 0.0398192i −0.534088 0.845429i \(-0.679345\pi\)
0.465119 + 0.885248i \(0.346012\pi\)
\(332\) −4.87732 5.99599i −0.267677 0.329073i
\(333\) −20.2147 + 13.5340i −1.10776 + 0.741661i
\(334\) −22.9830 + 8.16713i −1.25757 + 0.446886i
\(335\) −6.45170 −0.352494
\(336\) 0.258533 + 18.3285i 0.0141041 + 0.999901i
\(337\) −21.6680 −1.18033 −0.590165 0.807282i \(-0.700937\pi\)
−0.590165 + 0.807282i \(0.700937\pi\)
\(338\) 15.7149 5.58436i 0.854775 0.303749i
\(339\) −6.70999 + 0.222762i −0.364436 + 0.0120988i
\(340\) 2.90827 + 3.57532i 0.157723 + 0.193899i
\(341\) −8.85966 + 5.11513i −0.479778 + 0.277000i
\(342\) −6.27178 4.66364i −0.339139 0.252181i
\(343\) −9.80454 15.7121i −0.529396 0.848375i
\(344\) 4.52408 + 2.75189i 0.243922 + 0.148372i
\(345\) 0.0972364 + 0.0519162i 0.00523503 + 0.00279508i
\(346\) 15.3991 18.0702i 0.827863 0.971462i
\(347\) 13.7374 23.7939i 0.737463 1.27732i −0.216171 0.976356i \(-0.569357\pi\)
0.953634 0.300969i \(-0.0973099\pi\)
\(348\) −17.6123 20.2411i −0.944120 1.08504i
\(349\) 15.6203 0.836134 0.418067 0.908416i \(-0.362708\pi\)
0.418067 + 0.908416i \(0.362708\pi\)
\(350\) −17.6449 + 0.0670834i −0.943158 + 0.00358576i
\(351\) 2.57163 + 25.7448i 0.137264 + 1.37415i
\(352\) −23.9624 9.77166i −1.27720 0.520831i
\(353\) −6.72613 + 11.6500i −0.357996 + 0.620067i −0.987626 0.156828i \(-0.949873\pi\)
0.629630 + 0.776895i \(0.283207\pi\)
\(354\) −2.39916 + 15.9852i −0.127514 + 0.849603i
\(355\) −1.65423 2.86521i −0.0877973 0.152069i
\(356\) −30.7728 11.7351i −1.63096 0.621957i
\(357\) −5.93824 + 18.8984i −0.314285 + 1.00021i
\(358\) −1.02980 + 5.59056i −0.0544265 + 0.295470i
\(359\) −19.9816 + 11.5364i −1.05459 + 0.608867i −0.923930 0.382561i \(-0.875042\pi\)
−0.130658 + 0.991428i \(0.541709\pi\)
\(360\) −0.196655 4.51908i −0.0103646 0.238176i
\(361\) 7.80320 13.5155i 0.410695 0.711344i
\(362\) −19.8016 + 7.03660i −1.04075 + 0.369836i
\(363\) 14.5978 9.08684i 0.766186 0.476936i
\(364\) −20.1185 17.0130i −1.05450 0.891726i
\(365\) −5.14305 −0.269200
\(366\) −3.28293 + 4.12194i −0.171601 + 0.215457i
\(367\) 18.6893 + 10.7903i 0.975574 + 0.563248i 0.900931 0.433963i \(-0.142885\pi\)
0.0746427 + 0.997210i \(0.476218\pi\)
\(368\) 0.149558 + 0.453501i 0.00779625 + 0.0236404i
\(369\) 7.81018 0.519147i 0.406582 0.0270257i
\(370\) −1.10746 + 6.01218i −0.0575741 + 0.312558i
\(371\) −11.4477 4.01907i −0.594337 0.208659i
\(372\) −1.48177 7.60369i −0.0768264 0.394233i
\(373\) 0.158888 0.0917338i 0.00822689 0.00474980i −0.495881 0.868391i \(-0.665155\pi\)
0.504108 + 0.863641i \(0.331821\pi\)
\(374\) −21.2857 18.1393i −1.10066 0.937963i
\(375\) 8.96593 0.297657i 0.462999 0.0153709i
\(376\) 16.4844 + 0.377289i 0.850116 + 0.0194572i
\(377\) 38.5663 1.98627
\(378\) 15.7446 11.4065i 0.809815 0.586686i
\(379\) 2.93359i 0.150688i 0.997158 + 0.0753441i \(0.0240055\pi\)
−0.997158 + 0.0753441i \(0.975994\pi\)
\(380\) −1.93920 + 0.311509i −0.0994789 + 0.0159801i
\(381\) 0.470683 + 14.1778i 0.0241138 + 0.726349i
\(382\) 18.1283 21.2728i 0.927524 1.08841i
\(383\) 7.67488 + 13.2933i 0.392168 + 0.679255i 0.992735 0.120319i \(-0.0383918\pi\)
−0.600567 + 0.799574i \(0.705058\pi\)
\(384\) 12.8968 14.7537i 0.658136 0.752899i
\(385\) −6.34088 + 1.19295i −0.323161 + 0.0607983i
\(386\) −3.22407 + 17.5028i −0.164101 + 0.890870i
\(387\) −0.372510 5.60414i −0.0189358 0.284875i
\(388\) −9.07199 11.1528i −0.460561 0.566197i
\(389\) 2.00060 3.46513i 0.101434 0.175689i −0.810842 0.585266i \(-0.800990\pi\)
0.912276 + 0.409577i \(0.134324\pi\)
\(390\) 5.08584 + 4.05062i 0.257532 + 0.205111i
\(391\) 0.516059i 0.0260982i
\(392\) −3.43853 + 19.4981i −0.173672 + 0.984804i
\(393\) −19.6127 31.5074i −0.989332 1.58934i
\(394\) 11.2177 3.98627i 0.565139 0.200825i
\(395\) 0.0211250 + 0.0121965i 0.00106291 + 0.000613673i
\(396\) 6.14120 + 26.7521i 0.308607 + 1.34434i
\(397\) −11.7195 20.2987i −0.588183 1.01876i −0.994470 0.105017i \(-0.966510\pi\)
0.406288 0.913745i \(-0.366823\pi\)
\(398\) 19.9109 + 3.66765i 0.998044 + 0.183842i
\(399\) −5.70938 6.21841i −0.285826 0.311310i
\(400\) 14.0735 + 12.5603i 0.703675 + 0.628014i
\(401\) −14.5441 + 8.39703i −0.726297 + 0.419328i −0.817066 0.576544i \(-0.804401\pi\)
0.0907689 + 0.995872i \(0.471068\pi\)
\(402\) −4.40007 + 29.3169i −0.219455 + 1.46219i
\(403\) 9.64320 + 5.56751i 0.480362 + 0.277337i
\(404\) 7.60251 1.22125i 0.378239 0.0607595i
\(405\) −3.80091 + 2.92770i −0.188869 + 0.145479i
\(406\) −14.5857 25.0428i −0.723874 1.24285i
\(407\) 37.0960i 1.83878i
\(408\) 18.2299 10.7770i 0.902515 0.533540i
\(409\) 11.9749 + 6.91372i 0.592121 + 0.341861i 0.765936 0.642917i \(-0.222276\pi\)
−0.173815 + 0.984778i \(0.555609\pi\)
\(410\) 1.27583 1.49713i 0.0630086 0.0739380i
\(411\) 3.68816 6.90773i 0.181924 0.340733i
\(412\) −3.79362 + 9.94800i −0.186898 + 0.490103i
\(413\) −5.78354 + 16.4736i −0.284590 + 0.810613i
\(414\) 0.302226 0.406441i 0.0148536 0.0199755i
\(415\) 1.03007 + 1.78414i 0.0505643 + 0.0875799i
\(416\) 3.82987 + 27.9052i 0.187775 + 1.36817i
\(417\) −0.852279 25.6721i −0.0417363 1.25717i
\(418\) 11.2300 3.99066i 0.549280 0.195190i
\(419\) 17.5573i 0.857728i 0.903369 + 0.428864i \(0.141086\pi\)
−0.903369 + 0.428864i \(0.858914\pi\)
\(420\) 0.706793 4.83439i 0.0344880 0.235894i
\(421\) 19.8896i 0.969362i −0.874691 0.484681i \(-0.838936\pi\)
0.874691 0.484681i \(-0.161064\pi\)
\(422\) 4.55694 + 12.8236i 0.221828 + 0.624243i
\(423\) −9.72973 14.5325i −0.473075 0.706595i
\(424\) 6.22650 + 11.3782i 0.302386 + 0.552574i
\(425\) 10.1927 + 17.6543i 0.494419 + 0.856359i
\(426\) −14.1479 + 5.56284i −0.685466 + 0.269520i
\(427\) −4.31803 + 3.70818i −0.208964 + 0.179451i
\(428\) 17.2160 + 6.56525i 0.832168 + 0.317343i
\(429\) −34.8032 18.5821i −1.68032 0.897150i
\(430\) −1.07426 0.915461i −0.0518052 0.0441475i
\(431\) −25.3821 14.6544i −1.22261 0.705876i −0.257139 0.966374i \(-0.582780\pi\)
−0.965474 + 0.260498i \(0.916113\pi\)
\(432\) −20.6691 2.18841i −0.994442 0.105290i
\(433\) 12.5427i 0.602763i 0.953504 + 0.301381i \(0.0974477\pi\)
−0.953504 + 0.301381i \(0.902552\pi\)
\(434\) −0.0318116 8.36736i −0.00152700 0.401646i
\(435\) 3.77930 + 6.07137i 0.181204 + 0.291100i
\(436\) 9.67234 1.55374i 0.463221 0.0744109i
\(437\) −0.190457 0.109961i −0.00911081 0.00526013i
\(438\) −3.50757 + 23.3703i −0.167598 + 1.11668i
\(439\) 11.7921 6.80818i 0.562807 0.324937i −0.191464 0.981500i \(-0.561324\pi\)
0.754271 + 0.656563i \(0.227990\pi\)
\(440\) 5.89302 + 3.58458i 0.280939 + 0.170888i
\(441\) 19.0150 8.91238i 0.905475 0.424399i
\(442\) −5.51431 + 29.9361i −0.262289 + 1.42391i
\(443\) −6.72205 11.6429i −0.319374 0.553172i 0.660984 0.750400i \(-0.270139\pi\)
−0.980358 + 0.197228i \(0.936806\pi\)
\(444\) 26.5644 + 9.13267i 1.26069 + 0.433417i
\(445\) 7.60232 + 4.38920i 0.360384 + 0.208068i
\(446\) −9.55790 26.8967i −0.452580 1.27360i
\(447\) 31.6773 19.7185i 1.49828 0.932653i
\(448\) 16.6716 13.0406i 0.787660 0.616110i
\(449\) 16.3428i 0.771266i 0.922652 + 0.385633i \(0.126017\pi\)
−0.922652 + 0.385633i \(0.873983\pi\)
\(450\) 2.31146 19.8736i 0.108963 0.936849i
\(451\) −5.96796 + 10.3368i −0.281020 + 0.486742i
\(452\) 4.89190 + 6.01393i 0.230096 + 0.282871i
\(453\) 4.30160 + 2.29670i 0.202107 + 0.107908i
\(454\) 1.66063 + 0.305893i 0.0779374 + 0.0143563i
\(455\) 4.57532 + 5.32779i 0.214494 + 0.249770i
\(456\) 0.0929782 + 9.02429i 0.00435410 + 0.422601i
\(457\) 14.6395 + 25.3564i 0.684808 + 1.18612i 0.973497 + 0.228699i \(0.0734472\pi\)
−0.288689 + 0.957423i \(0.593219\pi\)
\(458\) 24.5461 + 20.9178i 1.14696 + 0.977423i
\(459\) −20.4724 9.24180i −0.955572 0.431370i
\(460\) −0.0201872 0.125669i −0.000941235 0.00585936i
\(461\) 6.06975i 0.282696i −0.989960 0.141348i \(-0.954856\pi\)
0.989960 0.141348i \(-0.0451437\pi\)
\(462\) 1.09635 + 29.6269i 0.0510067 + 1.37837i
\(463\) −3.30400 −0.153550 −0.0767750 0.997048i \(-0.524462\pi\)
−0.0767750 + 0.997048i \(0.524462\pi\)
\(464\) −6.30820 + 30.3327i −0.292851 + 1.40816i
\(465\) 0.0685115 + 2.06369i 0.00317715 + 0.0957011i
\(466\) 14.9429 17.5349i 0.692219 0.812290i
\(467\) 7.03895 4.06394i 0.325724 0.188057i −0.328217 0.944602i \(-0.606448\pi\)
0.653941 + 0.756546i \(0.273114\pi\)
\(468\) 21.8748 20.3478i 1.01116 0.940579i
\(469\) −10.6070 + 30.2127i −0.489788 + 1.39509i
\(470\) −4.32220 0.796161i −0.199368 0.0367242i
\(471\) 10.8306 + 5.78267i 0.499049 + 0.266451i
\(472\) 16.3735 8.96011i 0.753653 0.412422i
\(473\) 7.41711 + 4.28227i 0.341039 + 0.196899i
\(474\) 0.0698289 0.0876751i 0.00320735 0.00402705i
\(475\) −8.68736 −0.398604
\(476\) 21.5243 7.74106i 0.986563 0.354811i
\(477\) 6.07328 12.3441i 0.278076 0.565198i
\(478\) −9.58523 26.9736i −0.438418 1.23375i
\(479\) 0.425876 0.737638i 0.0194588 0.0337035i −0.856132 0.516757i \(-0.827139\pi\)
0.875591 + 0.483054i \(0.160472\pi\)
\(480\) −4.01772 + 3.33750i −0.183383 + 0.152335i
\(481\) −34.9673 + 20.1884i −1.59437 + 0.920510i
\(482\) −12.8368 2.36457i −0.584698 0.107703i
\(483\) 0.402982 0.369994i 0.0183363 0.0168353i
\(484\) −18.5519 7.07466i −0.843266 0.321575i
\(485\) 1.91597 + 3.31856i 0.0869999 + 0.150688i
\(486\) 10.7114 + 19.2682i 0.485880 + 0.874025i
\(487\) −2.45804 + 4.25745i −0.111384 + 0.192923i −0.916329 0.400427i \(-0.868862\pi\)
0.804944 + 0.593350i \(0.202195\pi\)
\(488\) 6.08314 + 0.139229i 0.275371 + 0.00630260i
\(489\) −5.96374 9.58062i −0.269690 0.433250i
\(490\) 1.72919 4.98591i 0.0781166 0.225240i
\(491\) 5.07434 0.229002 0.114501 0.993423i \(-0.463473\pi\)
0.114501 + 0.993423i \(0.463473\pi\)
\(492\) −5.93293 6.81848i −0.267477 0.307401i
\(493\) −16.7408 + 28.9960i −0.753970 + 1.30591i
\(494\) −9.87327 8.41383i −0.444220 0.378556i
\(495\) −0.485228 7.29991i −0.0218094 0.328106i
\(496\) −5.95620 + 6.67378i −0.267441 + 0.299662i
\(497\) −16.1372 + 3.03599i −0.723850 + 0.136183i
\(498\) 8.80974 3.46392i 0.394774 0.155222i
\(499\) −17.6743 + 10.2042i −0.791209 + 0.456805i −0.840388 0.541985i \(-0.817673\pi\)
0.0491790 + 0.998790i \(0.484340\pi\)
\(500\) −6.53660 8.03586i −0.292326 0.359374i
\(501\) −0.991187 29.8563i −0.0442830 1.33388i
\(502\) −3.89321 10.9558i −0.173762 0.488982i
\(503\) −26.6102 −1.18649 −0.593245 0.805022i \(-0.702153\pi\)
−0.593245 + 0.805022i \(0.702153\pi\)
\(504\) −21.4857 6.50877i −0.957050 0.289924i
\(505\) −2.05236 −0.0913289
\(506\) 0.258613 + 0.727759i 0.0114968 + 0.0323528i
\(507\) 0.677734 + 20.4145i 0.0300992 + 0.906641i
\(508\) 12.7070 10.3363i 0.563784 0.458598i
\(509\) 24.9978 14.4325i 1.10801 0.639710i 0.169697 0.985496i \(-0.445721\pi\)
0.938313 + 0.345787i \(0.112388\pi\)
\(510\) −5.25311 + 2.06549i −0.232612 + 0.0914613i
\(511\) −8.45553 + 24.0844i −0.374051 + 1.06543i
\(512\) −22.5741 1.55218i −0.997644 0.0685972i
\(513\) 7.77301 5.58637i 0.343187 0.246644i
\(514\) −14.4552 12.3184i −0.637590 0.543343i
\(515\) 1.41891 2.45762i 0.0625245 0.108296i
\(516\) −4.89255 + 4.25713i −0.215383 + 0.187410i
\(517\) 26.6686 1.17288
\(518\) 26.3337 + 15.0706i 1.15704 + 0.662162i
\(519\) 15.3663 + 24.6856i 0.674505 + 1.08358i
\(520\) 0.171787 7.50566i 0.00753337 0.329145i
\(521\) 12.5564 21.7483i 0.550105 0.952811i −0.448161 0.893953i \(-0.647921\pi\)
0.998266 0.0588577i \(-0.0187458\pi\)
\(522\) 30.1661 13.0327i 1.32034 0.570426i
\(523\) −1.54754 2.68042i −0.0676692 0.117206i 0.830206 0.557457i \(-0.188223\pi\)
−0.897875 + 0.440251i \(0.854890\pi\)
\(524\) −15.2697 + 40.0417i −0.667060 + 1.74923i
\(525\) 6.47818 20.6168i 0.282731 0.899790i
\(526\) 20.9442 + 3.85799i 0.913212 + 0.168216i
\(527\) −8.37183 + 4.83348i −0.364683 + 0.210550i
\(528\) 20.3076 24.3336i 0.883775 1.05898i
\(529\) −11.4929 + 19.9062i −0.499690 + 0.865489i
\(530\) −1.15760 3.25759i −0.0502831 0.141501i
\(531\) −17.7635 8.73962i −0.770871 0.379267i
\(532\) −1.72942 + 9.59323i −0.0749797 + 0.415919i
\(533\) 12.9915 0.562726
\(534\) 25.1296 31.5519i 1.08746 1.36539i
\(535\) −4.25316 2.45556i −0.183880 0.106163i
\(536\) 30.0291 16.4329i 1.29706 0.709792i
\(537\) −6.14163 3.27913i −0.265031 0.141505i
\(538\) −18.4710 3.40241i −0.796341 0.146688i
\(539\) −4.83838 + 31.6550i −0.208404 + 1.36348i
\(540\) 5.34692 + 1.44970i 0.230095 + 0.0623850i
\(541\) −23.8925 + 13.7944i −1.02722 + 0.593066i −0.916187 0.400751i \(-0.868749\pi\)
−0.111033 + 0.993817i \(0.535416\pi\)
\(542\) 17.2598 20.2536i 0.741372 0.869969i
\(543\) −0.853983 25.7234i −0.0366479 1.10390i
\(544\) −22.6430 9.23362i −0.970809 0.395888i
\(545\) −2.61113 −0.111849
\(546\) 27.3301 17.1570i 1.16962 0.734251i
\(547\) 32.0757i 1.37146i −0.727856 0.685730i \(-0.759483\pi\)
0.727856 0.685730i \(-0.240517\pi\)
\(548\) −8.92762 + 1.43411i −0.381369 + 0.0612623i
\(549\) −3.59051 5.36286i −0.153239 0.228881i
\(550\) 23.2212 + 19.7887i 0.990154 + 0.843791i
\(551\) −7.13420 12.3568i −0.303927 0.526417i
\(552\) −0.584816 + 0.00602542i −0.0248914 + 0.000256459i
\(553\) 0.0918460 0.0788743i 0.00390569 0.00335407i
\(554\) −32.3353 5.95626i −1.37380 0.253057i
\(555\) −6.60480 3.52642i −0.280358 0.149688i
\(556\) −23.0090 + 18.7162i −0.975800 + 0.793744i
\(557\) 8.23577 14.2648i 0.348961 0.604417i −0.637104 0.770777i \(-0.719868\pi\)
0.986065 + 0.166360i \(0.0532014\pi\)
\(558\) 9.42423 + 1.09612i 0.398960 + 0.0464023i
\(559\) 9.32199i 0.394278i
\(560\) −4.93872 + 2.72707i −0.208699 + 0.115240i
\(561\) 29.0782 18.1006i 1.22768 0.764209i
\(562\) 10.0739 + 28.3487i 0.424940 + 1.19582i
\(563\) −14.5542 8.40290i −0.613388 0.354140i 0.160902 0.986970i \(-0.448560\pi\)
−0.774290 + 0.632830i \(0.781893\pi\)
\(564\) −6.56555 + 19.0973i −0.276460 + 0.804143i
\(565\) −1.03315 1.78947i −0.0434651 0.0752837i
\(566\) 2.20933 11.9940i 0.0928650 0.504145i
\(567\) 7.46118 + 22.6126i 0.313340 + 0.949641i
\(568\) 14.9974 + 9.12255i 0.629277 + 0.382774i
\(569\) −32.1947 + 18.5876i −1.34967 + 0.779235i −0.988203 0.153149i \(-0.951059\pi\)
−0.361471 + 0.932383i \(0.617725\pi\)
\(570\) 0.357030 2.37883i 0.0149543 0.0996382i
\(571\) 6.80801 + 3.93061i 0.284906 + 0.164491i 0.635642 0.771984i \(-0.280735\pi\)
−0.350736 + 0.936474i \(0.614069\pi\)
\(572\) 7.22549 + 44.9800i 0.302113 + 1.88071i
\(573\) 18.0896 + 29.0605i 0.755704 + 1.21402i
\(574\) −4.91336 8.43596i −0.205080 0.352110i
\(575\) 0.562982i 0.0234780i
\(576\) 12.4257 + 20.5329i 0.517737 + 0.855540i
\(577\) 14.7236 + 8.50067i 0.612951 + 0.353888i 0.774120 0.633039i \(-0.218193\pi\)
−0.161168 + 0.986927i \(0.551526\pi\)
\(578\) −1.81518 1.54686i −0.0755013 0.0643409i
\(579\) −19.2281 10.2662i −0.799092 0.426650i
\(580\) 2.94242 7.71589i 0.122177 0.320385i
\(581\) 10.0484 1.89048i 0.416880 0.0784303i
\(582\) 16.3864 6.44303i 0.679240 0.267072i
\(583\) 10.4891 + 18.1677i 0.434415 + 0.752429i
\(584\) 23.9381 13.0997i 0.990565 0.542068i
\(585\) −6.61694 + 4.43014i −0.273577 + 0.183164i
\(586\) 10.7702 + 30.3082i 0.444913 + 1.25202i
\(587\) 24.3750i 1.00606i 0.864268 + 0.503032i \(0.167782\pi\)
−0.864268 + 0.503032i \(0.832218\pi\)
\(588\) −21.4769 11.2579i −0.885694 0.464269i
\(589\) 4.11963i 0.169746i
\(590\) −4.68777 + 1.66582i −0.192992 + 0.0685809i
\(591\) 0.483785 + 14.5724i 0.0199003 + 0.599430i
\(592\) −10.1588 30.8042i −0.417523 1.26604i
\(593\) 0.0286004 + 0.0495374i 0.00117448 + 0.00203426i 0.866612 0.498983i \(-0.166293\pi\)
−0.865438 + 0.501017i \(0.832959\pi\)
\(594\) −33.5021 2.77364i −1.37461 0.113804i
\(595\) −5.99174 + 1.12726i −0.245637 + 0.0462133i
\(596\) −40.2576 15.3520i −1.64902 0.628844i
\(597\) −11.6787 + 21.8736i −0.477977 + 0.895225i
\(598\) 0.545255 0.639834i 0.0222971 0.0261648i
\(599\) 35.8620 + 20.7049i 1.46528 + 0.845980i 0.999247 0.0387877i \(-0.0123496\pi\)
0.466033 + 0.884768i \(0.345683\pi\)
\(600\) −19.8875 + 11.7569i −0.811903 + 0.479972i
\(601\) 23.8559i 0.973104i −0.873652 0.486552i \(-0.838254\pi\)
0.873652 0.486552i \(-0.161746\pi\)
\(602\) −6.05317 + 3.52555i −0.246709 + 0.143691i
\(603\) −32.5783 16.0285i −1.32669 0.652731i
\(604\) −0.893054 5.55943i −0.0363379 0.226210i
\(605\) 4.58317 + 2.64609i 0.186332 + 0.107579i
\(606\) −1.39971 + 9.32605i −0.0568594 + 0.378845i
\(607\) −33.6542 + 19.4303i −1.36598 + 0.788650i −0.990412 0.138144i \(-0.955886\pi\)
−0.375570 + 0.926794i \(0.622553\pi\)
\(608\) 8.23248 6.38917i 0.333871 0.259115i
\(609\) 34.6450 7.71636i 1.40389 0.312683i
\(610\) −1.59500 0.293803i −0.0645796 0.0118958i
\(611\) −14.5136 25.1382i −0.587156 1.01698i
\(612\) 5.80306 + 25.2791i 0.234575 + 1.02185i
\(613\) 16.8751 + 9.74286i 0.681580 + 0.393510i 0.800450 0.599400i \(-0.204594\pi\)
−0.118870 + 0.992910i \(0.537927\pi\)
\(614\) 30.4052 10.8047i 1.22706 0.436041i
\(615\) 1.27311 + 2.04521i 0.0513366 + 0.0824710i
\(616\) 26.4748 21.7031i 1.06670 0.874444i
\(617\) 21.5819i 0.868854i 0.900707 + 0.434427i \(0.143049\pi\)
−0.900707 + 0.434427i \(0.856951\pi\)
\(618\) −10.1999 8.12369i −0.410299 0.326783i
\(619\) 5.60757 9.71259i 0.225387 0.390382i −0.731048 0.682326i \(-0.760969\pi\)
0.956436 + 0.291944i \(0.0943020\pi\)
\(620\) 1.84961 1.50453i 0.0742821 0.0604232i
\(621\) 0.362023 + 0.503728i 0.0145275 + 0.0202139i
\(622\) 6.14199 33.3436i 0.246271 1.33696i
\(623\) 33.0529 28.3847i 1.32424 1.13721i
\(624\) −33.9890 5.89948i −1.36065 0.236168i
\(625\) −10.4090 18.0290i −0.416362 0.721160i
\(626\) 20.5925 24.1644i 0.823040 0.965803i
\(627\) 0.484318 + 14.5885i 0.0193418 + 0.582609i
\(628\) −2.24855 13.9976i −0.0897268 0.558566i
\(629\) 35.0534i 1.39767i
\(630\) 5.37919 + 2.62120i 0.214312 + 0.104431i
\(631\) −22.3220 −0.888626 −0.444313 0.895872i \(-0.646552\pi\)
−0.444313 + 0.895872i \(0.646552\pi\)
\(632\) −0.129390 0.00296145i −0.00514688 0.000117800i
\(633\) −16.6586 + 0.553043i −0.662121 + 0.0219815i
\(634\) −2.28350 1.94595i −0.0906892 0.0772837i
\(635\) −3.78105 + 2.18299i −0.150046 + 0.0866292i
\(636\) −15.5922 + 3.03854i −0.618270 + 0.120486i
\(637\) 32.4716 12.6665i 1.28657 0.501866i
\(638\) −9.07756 + 49.2803i −0.359384 + 1.95102i
\(639\) −1.23488 18.5778i −0.0488510 0.734927i
\(640\) 5.87516 + 1.36280i 0.232236 + 0.0538692i
\(641\) −10.9414 6.31703i −0.432160 0.249508i 0.268107 0.963389i \(-0.413602\pi\)
−0.700266 + 0.713882i \(0.746935\pi\)
\(642\) −14.0589 + 17.6519i −0.554859 + 0.696665i
\(643\) 25.9092 1.02176 0.510879 0.859652i \(-0.329320\pi\)
0.510879 + 0.859652i \(0.329320\pi\)
\(644\) −0.621686 0.112074i −0.0244978 0.00441634i
\(645\) 1.46753 0.913508i 0.0577839 0.0359693i
\(646\) 10.6117 3.77093i 0.417512 0.148365i
\(647\) −8.29783 + 14.3723i −0.326221 + 0.565032i −0.981759 0.190131i \(-0.939109\pi\)
0.655538 + 0.755163i \(0.272442\pi\)
\(648\) 10.2341 23.3080i 0.402034 0.915625i
\(649\) 26.1438 15.0941i 1.02623 0.592496i
\(650\) 6.01570 32.6580i 0.235955 1.28095i
\(651\) 9.77667 + 3.07201i 0.383178 + 0.120402i
\(652\) −4.64313 + 12.1757i −0.181839 + 0.476836i
\(653\) −2.57443 4.45904i −0.100745 0.174496i 0.811247 0.584704i \(-0.198789\pi\)
−0.911992 + 0.410208i \(0.865456\pi\)
\(654\) −1.78079 + 11.8651i −0.0696346 + 0.463963i
\(655\) 5.71124 9.89216i 0.223157 0.386519i
\(656\) −2.12500 + 10.2179i −0.0829671 + 0.398943i
\(657\) −25.9702 12.7773i −1.01319 0.498490i
\(658\) −10.8343 + 18.9315i −0.422367 + 0.738026i
\(659\) −20.6891 −0.805934 −0.402967 0.915214i \(-0.632021\pi\)
−0.402967 + 0.915214i \(0.632021\pi\)
\(660\) −6.37299 + 5.54530i −0.248068 + 0.215851i
\(661\) −12.3911 + 21.4621i −0.481960 + 0.834779i −0.999786 0.0207072i \(-0.993408\pi\)
0.517826 + 0.855486i \(0.326742\pi\)
\(662\) −1.32904 + 1.55957i −0.0516545 + 0.0606144i
\(663\) −32.8869 17.5589i −1.27722 0.681931i
\(664\) −9.33873 5.68053i −0.362413 0.220447i
\(665\) 0.860676 2.45151i 0.0333756 0.0950657i
\(666\) −20.5288 + 27.6076i −0.795473 + 1.06977i
\(667\) 0.800778 0.462329i 0.0310063 0.0179015i
\(668\) −26.7591 + 21.7667i −1.03534 + 0.842178i
\(669\) 34.9404 1.15997i 1.35088 0.0448472i
\(670\) −8.59738 + 3.05513i −0.332146 + 0.118030i
\(671\) 9.84137 0.379922
\(672\) 9.02376 + 24.3017i 0.348099 + 0.937458i
\(673\) 0.492833 0.0189973 0.00949866 0.999955i \(-0.496976\pi\)
0.00949866 + 0.999955i \(0.496976\pi\)
\(674\) −28.8743 + 10.2606i −1.11219 + 0.395225i
\(675\) 22.3339 + 10.0821i 0.859633 + 0.388061i
\(676\) 18.2968 14.8832i 0.703725 0.572430i
\(677\) −35.2987 + 20.3797i −1.35664 + 0.783256i −0.989169 0.146779i \(-0.953109\pi\)
−0.367471 + 0.930035i \(0.619776\pi\)
\(678\) −8.83609 + 3.47429i −0.339348 + 0.133429i
\(679\) 18.6905 3.51636i 0.717276 0.134946i
\(680\) 5.56854 + 3.38721i 0.213544 + 0.129894i
\(681\) −0.974039 + 1.82432i −0.0373253 + 0.0699082i
\(682\) −9.38397 + 11.0117i −0.359331 + 0.421659i
\(683\) −14.8402 + 25.7039i −0.567843 + 0.983532i 0.428936 + 0.903335i \(0.358888\pi\)
−0.996779 + 0.0801976i \(0.974445\pi\)
\(684\) −10.5660 3.24473i −0.404003 0.124065i
\(685\) 2.41009 0.0920846
\(686\) −20.5056 16.2948i −0.782908 0.622138i
\(687\) −33.5322 + 20.8731i −1.27933 + 0.796360i
\(688\) 7.33181 + 1.52478i 0.279523 + 0.0581315i
\(689\) 11.4168 19.7744i 0.434944 0.753346i
\(690\) 0.154159 + 0.0231372i 0.00586874 + 0.000880818i
\(691\) 3.83116 + 6.63576i 0.145744 + 0.252436i 0.929650 0.368443i \(-0.120109\pi\)
−0.783906 + 0.620879i \(0.786776\pi\)
\(692\) 11.9636 31.3721i 0.454787 1.19259i
\(693\) −34.9825 9.72928i −1.32887 0.369585i
\(694\) 7.03883 38.2124i 0.267190 1.45052i
\(695\) 6.84645 3.95280i 0.259701 0.149938i
\(696\) −33.0547 18.6328i −1.25294 0.706273i
\(697\) −5.63936 + 9.76765i −0.213606 + 0.369976i
\(698\) 20.8152 7.39680i 0.787867 0.279973i
\(699\) 14.9111 + 23.9543i 0.563988 + 0.906034i
\(700\) −23.4814 + 8.44492i −0.887513 + 0.319188i
\(701\) 6.75507 0.255136 0.127568 0.991830i \(-0.459283\pi\)
0.127568 + 0.991830i \(0.459283\pi\)
\(702\) 15.6180 + 33.0891i 0.589465 + 1.24887i
\(703\) 12.9369 + 7.46910i 0.487923 + 0.281702i
\(704\) −36.5590 1.67438i −1.37787 0.0631055i
\(705\) 2.53517 4.74825i 0.0954801 0.178829i
\(706\) −3.44636 + 18.7096i −0.129706 + 0.704145i
\(707\) −3.37423 + 9.61100i −0.126901 + 0.361459i
\(708\) 4.37254 + 22.4376i 0.164330 + 0.843256i
\(709\) 36.0884 20.8357i 1.35533 0.782499i 0.366339 0.930482i \(-0.380611\pi\)
0.988990 + 0.147982i \(0.0472778\pi\)
\(710\) −3.56117 3.03477i −0.133648 0.113893i
\(711\) 0.0763714 + 0.114070i 0.00286415 + 0.00427795i
\(712\) −46.5642 1.06575i −1.74507 0.0399405i
\(713\) 0.266971 0.00999815
\(714\) 1.03598 + 27.9956i 0.0387706 + 1.04771i
\(715\) 12.1427i 0.454112i
\(716\) 1.27506 + 7.93750i 0.0476514 + 0.296638i
\(717\) 35.0404 1.16329i 1.30861 0.0434439i
\(718\) −21.1641 + 24.8352i −0.789836 + 0.926840i
\(719\) 23.2782 + 40.3190i 0.868131 + 1.50365i 0.863904 + 0.503656i \(0.168012\pi\)
0.00422645 + 0.999991i \(0.498655\pi\)
\(720\) −2.40202 5.92890i −0.0895179 0.220957i
\(721\) −9.17600 10.6851i −0.341732 0.397934i
\(722\) 3.99823 21.7056i 0.148799 0.807799i
\(723\) 7.52936 14.1021i 0.280020 0.524462i
\(724\) −23.0550 + 18.7536i −0.856833 + 0.696973i
\(725\) 18.2630 31.6325i 0.678271 1.17480i
\(726\) 15.1497 19.0215i 0.562259 0.705956i
\(727\) 10.7218i 0.397651i 0.980035 + 0.198825i \(0.0637127\pi\)
−0.980035 + 0.198825i \(0.936287\pi\)
\(728\) −34.8658 13.1443i −1.29221 0.487160i
\(729\) −26.4665 + 5.34075i −0.980241 + 0.197805i
\(730\) −6.85351 + 2.43543i −0.253660 + 0.0901394i
\(731\) 7.00871 + 4.04648i 0.259227 + 0.149665i
\(732\) −2.42285 + 7.04740i −0.0895512 + 0.260479i
\(733\) −12.5202 21.6857i −0.462445 0.800979i 0.536637 0.843813i \(-0.319695\pi\)
−0.999082 + 0.0428345i \(0.986361\pi\)
\(734\) 30.0145 + 5.52876i 1.10786 + 0.204070i
\(735\) 5.17611 + 3.87065i 0.190924 + 0.142771i
\(736\) 0.414048 + 0.533503i 0.0152620 + 0.0196652i
\(737\) 47.9478 27.6827i 1.76618 1.01971i
\(738\) 10.1618 4.39023i 0.374062 0.161606i
\(739\) −45.0173 25.9908i −1.65599 0.956086i −0.974538 0.224224i \(-0.928015\pi\)
−0.681452 0.731863i \(-0.738651\pi\)
\(740\) 1.37122 + 8.53611i 0.0504071 + 0.313794i
\(741\) 13.4878 8.39588i 0.495486 0.308430i
\(742\) −17.1582 + 0.0652330i −0.629896 + 0.00239478i
\(743\) 26.4603i 0.970735i −0.874310 0.485367i \(-0.838686\pi\)
0.874310 0.485367i \(-0.161314\pi\)
\(744\) −5.57522 9.43083i −0.204398 0.345751i
\(745\) 9.94549 + 5.74203i 0.364375 + 0.210372i
\(746\) 0.168290 0.197482i 0.00616155 0.00723032i
\(747\) 0.768946 + 11.5682i 0.0281343 + 0.423260i
\(748\) −36.9546 14.0924i −1.35119 0.515270i
\(749\) −18.4916 + 15.8800i −0.675670 + 0.580242i
\(750\) 11.8068 4.64237i 0.431125 0.169515i
\(751\) −9.69510 16.7924i −0.353779 0.612763i 0.633129 0.774046i \(-0.281770\pi\)
−0.986908 + 0.161283i \(0.948437\pi\)
\(752\) 22.1454 7.30322i 0.807558 0.266321i
\(753\) 14.2323 0.472491i 0.518652 0.0172185i
\(754\) 51.3926 18.2626i 1.87161 0.665086i
\(755\) 1.50081i 0.0546202i
\(756\) 15.5795 22.6557i 0.566620 0.823979i
\(757\) 5.19772i 0.188914i −0.995529 0.0944572i \(-0.969888\pi\)
0.995529 0.0944572i \(-0.0301115\pi\)
\(758\) 1.38917 + 3.90923i 0.0504568 + 0.141990i
\(759\) −0.945403 + 0.0313861i −0.0343160 + 0.00113924i
\(760\) −2.43662 + 1.33340i −0.0883856 + 0.0483674i
\(761\) −18.8681 32.6805i −0.683969 1.18467i −0.973760 0.227578i \(-0.926919\pi\)
0.289791 0.957090i \(-0.406414\pi\)
\(762\) 7.34095 + 18.6701i 0.265934 + 0.676346i
\(763\) −4.29288 + 12.2277i −0.155413 + 0.442671i
\(764\) 14.0839 36.9321i 0.509536 1.33616i
\(765\) −0.458511 6.89796i −0.0165775 0.249396i
\(766\) 16.5223 + 14.0800i 0.596973 + 0.508730i
\(767\) −28.4559 16.4290i −1.02748 0.593218i
\(768\) 10.1995 25.7676i 0.368042 0.929809i
\(769\) 13.9517i 0.503110i −0.967843 0.251555i \(-0.919058\pi\)
0.967843 0.251555i \(-0.0809419\pi\)
\(770\) −7.88480 + 4.59235i −0.284148 + 0.165497i
\(771\) 19.7471 12.2921i 0.711173 0.442691i
\(772\) 3.99194 + 24.8506i 0.143673 + 0.894391i