Properties

Label 120.2.w.c.53.5
Level $120$
Weight $2$
Character 120.53
Analytic conductor $0.958$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 120 = 2^{3} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 120.w (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.958204824255\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 53.5
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.864261 - 1.11940i) q^{2} +(1.72368 + 0.170116i) q^{3} +(-0.506107 + 1.93490i) q^{4} +(-1.36575 - 1.77052i) q^{5} +(-1.29928 - 2.07651i) q^{6} +(2.06963 - 2.06963i) q^{7} +(2.60334 - 1.10573i) q^{8} +(2.94212 + 0.586449i) q^{9} +O(q^{10})\) \(q+(-0.864261 - 1.11940i) q^{2} +(1.72368 + 0.170116i) q^{3} +(-0.506107 + 1.93490i) q^{4} +(-1.36575 - 1.77052i) q^{5} +(-1.29928 - 2.07651i) q^{6} +(2.06963 - 2.06963i) q^{7} +(2.60334 - 1.10573i) q^{8} +(2.94212 + 0.586449i) q^{9} +(-0.801547 + 3.05901i) q^{10} -0.510276 q^{11} +(-1.20152 + 3.24905i) q^{12} +(-0.750647 + 0.750647i) q^{13} +(-4.10544 - 0.528041i) q^{14} +(-2.05292 - 3.28413i) q^{15} +(-3.48771 - 1.95854i) q^{16} +(3.14698 + 3.14698i) q^{17} +(-1.88629 - 3.80025i) q^{18} -6.01198 q^{19} +(4.11699 - 1.74653i) q^{20} +(3.91945 - 3.21529i) q^{21} +(0.441012 + 0.571203i) q^{22} +(-2.54575 + 2.54575i) q^{23} +(4.67541 - 1.46305i) q^{24} +(-1.26945 + 4.83617i) q^{25} +(1.48903 + 0.191519i) q^{26} +(4.97150 + 1.51135i) q^{27} +(2.95708 + 5.05199i) q^{28} +5.10739i q^{29} +(-1.90199 + 5.13638i) q^{30} -4.56672 q^{31} +(0.821906 + 5.59683i) q^{32} +(-0.879551 - 0.0868061i) q^{33} +(0.802913 - 6.24253i) q^{34} +(-6.49090 - 0.837710i) q^{35} +(-2.62375 + 5.39592i) q^{36} +(6.76263 + 6.76263i) q^{37} +(5.19592 + 6.72981i) q^{38} +(-1.42157 + 1.16618i) q^{39} +(-5.51322 - 3.09910i) q^{40} -4.24355i q^{41} +(-6.98662 - 1.60857i) q^{42} +(5.95972 - 5.95972i) q^{43} +(0.258254 - 0.987336i) q^{44} +(-2.97989 - 6.01001i) q^{45} +(5.04990 + 0.649518i) q^{46} +(-3.33849 - 3.33849i) q^{47} +(-5.67851 - 3.96920i) q^{48} -1.56672i q^{49} +(6.51073 - 2.75869i) q^{50} +(4.88902 + 5.95972i) q^{51} +(-1.07252 - 1.83234i) q^{52} +(-5.75871 - 5.75871i) q^{53} +(-2.60487 - 6.87129i) q^{54} +(0.696910 + 0.903452i) q^{55} +(3.09950 - 7.67638i) q^{56} +(-10.3627 - 1.02273i) q^{57} +(5.71720 - 4.41411i) q^{58} +1.16514i q^{59} +(7.39348 - 2.31008i) q^{60} +4.92929i q^{61} +(3.94684 + 5.11198i) q^{62} +(7.30283 - 4.87536i) q^{63} +(5.55474 - 5.75716i) q^{64} +(2.35423 + 0.303835i) q^{65} +(0.662991 + 1.05959i) q^{66} +(-7.98415 - 7.98415i) q^{67} +(-7.68180 + 4.49639i) q^{68} +(-4.82112 + 3.95497i) q^{69} +(4.67210 + 7.98991i) q^{70} -5.09150i q^{71} +(8.30779 - 1.72645i) q^{72} +(-3.20654 - 3.20654i) q^{73} +(1.72540 - 13.4148i) q^{74} +(-3.01082 + 8.12003i) q^{75} +(3.04271 - 11.6326i) q^{76} +(-1.05608 + 1.05608i) q^{77} +(2.53402 + 0.583424i) q^{78} +7.31215i q^{79} +(1.29572 + 8.84992i) q^{80} +(8.31215 + 3.45081i) q^{81} +(-4.75023 + 3.66754i) q^{82} +(4.77995 + 4.77995i) q^{83} +(4.23762 + 9.21104i) q^{84} +(1.27378 - 9.86975i) q^{85} +(-11.8220 - 1.52055i) q^{86} +(-0.868848 + 8.80349i) q^{87} +(-1.32842 + 0.564226i) q^{88} -12.6431 q^{89} +(-4.15220 + 8.52990i) q^{90} +3.10712i q^{91} +(-3.63736 - 6.21420i) q^{92} +(-7.87155 - 0.776871i) q^{93} +(-0.851777 + 6.62243i) q^{94} +(8.21087 + 10.6443i) q^{95} +(0.464592 + 9.78694i) q^{96} +(10.8789 - 10.8789i) q^{97} +(-1.75378 + 1.35405i) q^{98} +(-1.50129 - 0.299251i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 4 q^{6} + 4 q^{10} - 8 q^{12} - 28 q^{15} + 28 q^{16} - 20 q^{18} - 52 q^{22} - 8 q^{25} + 12 q^{28} - 32 q^{30} - 32 q^{31} + 8 q^{33} - 20 q^{36} + 24 q^{40} + 16 q^{42} + 24 q^{46} + 44 q^{48} + 8 q^{52} + 8 q^{55} - 16 q^{57} + 28 q^{58} + 56 q^{60} + 48 q^{63} + 16 q^{66} + 20 q^{70} + 32 q^{72} - 64 q^{73} - 88 q^{76} + 64 q^{78} + 48 q^{81} + 64 q^{82} - 8 q^{87} - 52 q^{88} + 84 q^{90} - 52 q^{96} + 16 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(41\) \(61\) \(97\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.864261 1.11940i −0.611125 0.791534i
\(3\) 1.72368 + 0.170116i 0.995165 + 0.0982164i
\(4\) −0.506107 + 1.93490i −0.253054 + 0.967452i
\(5\) −1.36575 1.77052i −0.610783 0.791798i
\(6\) −1.29928 2.07651i −0.530428 0.847730i
\(7\) 2.06963 2.06963i 0.782246 0.782246i −0.197964 0.980209i \(-0.563433\pi\)
0.980209 + 0.197964i \(0.0634328\pi\)
\(8\) 2.60334 1.10573i 0.920419 0.390933i
\(9\) 2.94212 + 0.586449i 0.980707 + 0.195483i
\(10\) −0.801547 + 3.05901i −0.253471 + 0.967343i
\(11\) −0.510276 −0.153854 −0.0769270 0.997037i \(-0.524511\pi\)
−0.0769270 + 0.997037i \(0.524511\pi\)
\(12\) −1.20152 + 3.24905i −0.346850 + 0.937921i
\(13\) −0.750647 + 0.750647i −0.208192 + 0.208192i −0.803499 0.595307i \(-0.797031\pi\)
0.595307 + 0.803499i \(0.297031\pi\)
\(14\) −4.10544 0.528041i −1.09722 0.141125i
\(15\) −2.05292 3.28413i −0.530062 0.847959i
\(16\) −3.48771 1.95854i −0.871928 0.489635i
\(17\) 3.14698 + 3.14698i 0.763254 + 0.763254i 0.976909 0.213656i \(-0.0685370\pi\)
−0.213656 + 0.976909i \(0.568537\pi\)
\(18\) −1.88629 3.80025i −0.444603 0.895728i
\(19\) −6.01198 −1.37924 −0.689622 0.724170i \(-0.742223\pi\)
−0.689622 + 0.724170i \(0.742223\pi\)
\(20\) 4.11699 1.74653i 0.920588 0.390536i
\(21\) 3.91945 3.21529i 0.855293 0.701634i
\(22\) 0.441012 + 0.571203i 0.0940240 + 0.121781i
\(23\) −2.54575 + 2.54575i −0.530825 + 0.530825i −0.920818 0.389993i \(-0.872478\pi\)
0.389993 + 0.920818i \(0.372478\pi\)
\(24\) 4.67541 1.46305i 0.954365 0.298643i
\(25\) −1.26945 + 4.83617i −0.253889 + 0.967233i
\(26\) 1.48903 + 0.191519i 0.292023 + 0.0375599i
\(27\) 4.97150 + 1.51135i 0.956766 + 0.290859i
\(28\) 2.95708 + 5.05199i 0.558835 + 0.954736i
\(29\) 5.10739i 0.948418i 0.880412 + 0.474209i \(0.157266\pi\)
−0.880412 + 0.474209i \(0.842734\pi\)
\(30\) −1.90199 + 5.13638i −0.347255 + 0.937771i
\(31\) −4.56672 −0.820207 −0.410104 0.912039i \(-0.634507\pi\)
−0.410104 + 0.912039i \(0.634507\pi\)
\(32\) 0.821906 + 5.59683i 0.145294 + 0.989389i
\(33\) −0.879551 0.0868061i −0.153110 0.0151110i
\(34\) 0.802913 6.24253i 0.137699 1.07058i
\(35\) −6.49090 0.837710i −1.09716 0.141599i
\(36\) −2.62375 + 5.39592i −0.437292 + 0.899320i
\(37\) 6.76263 + 6.76263i 1.11177 + 1.11177i 0.992911 + 0.118858i \(0.0379234\pi\)
0.118858 + 0.992911i \(0.462077\pi\)
\(38\) 5.19592 + 6.72981i 0.842890 + 1.09172i
\(39\) −1.42157 + 1.16618i −0.227633 + 0.186738i
\(40\) −5.51322 3.09910i −0.871716 0.490011i
\(41\) 4.24355i 0.662732i −0.943502 0.331366i \(-0.892491\pi\)
0.943502 0.331366i \(-0.107509\pi\)
\(42\) −6.98662 1.60857i −1.07806 0.248208i
\(43\) 5.95972 5.95972i 0.908848 0.908848i −0.0873310 0.996179i \(-0.527834\pi\)
0.996179 + 0.0873310i \(0.0278338\pi\)
\(44\) 0.258254 0.987336i 0.0389333 0.148846i
\(45\) −2.97989 6.01001i −0.444216 0.895920i
\(46\) 5.04990 + 0.649518i 0.744567 + 0.0957661i
\(47\) −3.33849 3.33849i −0.486969 0.486969i 0.420379 0.907349i \(-0.361897\pi\)
−0.907349 + 0.420379i \(0.861897\pi\)
\(48\) −5.67851 3.96920i −0.819622 0.572905i
\(49\) 1.56672i 0.223817i
\(50\) 6.51073 2.75869i 0.920756 0.390138i
\(51\) 4.88902 + 5.95972i 0.684599 + 0.834527i
\(52\) −1.07252 1.83234i −0.148732 0.254100i
\(53\) −5.75871 5.75871i −0.791019 0.791019i 0.190641 0.981660i \(-0.438943\pi\)
−0.981660 + 0.190641i \(0.938943\pi\)
\(54\) −2.60487 6.87129i −0.354478 0.935064i
\(55\) 0.696910 + 0.903452i 0.0939714 + 0.121821i
\(56\) 3.09950 7.67638i 0.414188 1.02580i
\(57\) −10.3627 1.02273i −1.37257 0.135464i
\(58\) 5.71720 4.41411i 0.750706 0.579602i
\(59\) 1.16514i 0.151689i 0.997120 + 0.0758444i \(0.0241652\pi\)
−0.997120 + 0.0758444i \(0.975835\pi\)
\(60\) 7.39348 2.31008i 0.954494 0.298230i
\(61\) 4.92929i 0.631131i 0.948904 + 0.315565i \(0.102194\pi\)
−0.948904 + 0.315565i \(0.897806\pi\)
\(62\) 3.94684 + 5.11198i 0.501249 + 0.649222i
\(63\) 7.30283 4.87536i 0.920070 0.614238i
\(64\) 5.55474 5.75716i 0.694342 0.719645i
\(65\) 2.35423 + 0.303835i 0.292006 + 0.0376861i
\(66\) 0.662991 + 1.05959i 0.0816085 + 0.130427i
\(67\) −7.98415 7.98415i −0.975419 0.975419i 0.0242864 0.999705i \(-0.492269\pi\)
−0.999705 + 0.0242864i \(0.992269\pi\)
\(68\) −7.68180 + 4.49639i −0.931555 + 0.545267i
\(69\) −4.82112 + 3.95497i −0.580395 + 0.476123i
\(70\) 4.67210 + 7.98991i 0.558423 + 0.954977i
\(71\) 5.09150i 0.604250i −0.953268 0.302125i \(-0.902304\pi\)
0.953268 0.302125i \(-0.0976959\pi\)
\(72\) 8.30779 1.72645i 0.979082 0.203465i
\(73\) −3.20654 3.20654i −0.375297 0.375297i 0.494105 0.869402i \(-0.335496\pi\)
−0.869402 + 0.494105i \(0.835496\pi\)
\(74\) 1.72540 13.4148i 0.200574 1.55943i
\(75\) −3.01082 + 8.12003i −0.347660 + 0.937621i
\(76\) 3.04271 11.6326i 0.349023 1.33435i
\(77\) −1.05608 + 1.05608i −0.120352 + 0.120352i
\(78\) 2.53402 + 0.583424i 0.286922 + 0.0660597i
\(79\) 7.31215i 0.822682i 0.911482 + 0.411341i \(0.134939\pi\)
−0.911482 + 0.411341i \(0.865061\pi\)
\(80\) 1.29572 + 8.84992i 0.144866 + 0.989451i
\(81\) 8.31215 + 3.45081i 0.923573 + 0.383423i
\(82\) −4.75023 + 3.66754i −0.524575 + 0.405012i
\(83\) 4.77995 + 4.77995i 0.524668 + 0.524668i 0.918978 0.394310i \(-0.129016\pi\)
−0.394310 + 0.918978i \(0.629016\pi\)
\(84\) 4.23762 + 9.21104i 0.462363 + 1.00501i
\(85\) 1.27378 9.86975i 0.138161 1.07052i
\(86\) −11.8220 1.52055i −1.27480 0.163965i
\(87\) −0.868848 + 8.80349i −0.0931502 + 0.943833i
\(88\) −1.32842 + 0.564226i −0.141610 + 0.0601467i
\(89\) −12.6431 −1.34017 −0.670083 0.742286i \(-0.733741\pi\)
−0.670083 + 0.742286i \(0.733741\pi\)
\(90\) −4.15220 + 8.52990i −0.437680 + 0.899131i
\(91\) 3.10712i 0.325715i
\(92\) −3.63736 6.21420i −0.379221 0.647875i
\(93\) −7.87155 0.776871i −0.816241 0.0805578i
\(94\) −0.851777 + 6.62243i −0.0878541 + 0.683052i
\(95\) 8.21087 + 10.6443i 0.842418 + 1.09208i
\(96\) 0.464592 + 9.78694i 0.0474172 + 0.998875i
\(97\) 10.8789 10.8789i 1.10458 1.10458i 0.110732 0.993850i \(-0.464680\pi\)
0.993850 0.110732i \(-0.0353195\pi\)
\(98\) −1.75378 + 1.35405i −0.177159 + 0.136780i
\(99\) −1.50129 0.299251i −0.150886 0.0300759i
\(100\) −8.71504 4.90388i −0.871504 0.490388i
\(101\) 6.41002 0.637821 0.318911 0.947785i \(-0.396683\pi\)
0.318911 + 0.947785i \(0.396683\pi\)
\(102\) 2.44592 10.6235i 0.242182 1.05188i
\(103\) −1.86309 1.86309i −0.183575 0.183575i 0.609336 0.792912i \(-0.291436\pi\)
−0.792912 + 0.609336i \(0.791436\pi\)
\(104\) −1.12418 + 2.78420i −0.110235 + 0.273013i
\(105\) −11.0457 2.54815i −1.07795 0.248674i
\(106\) −1.46927 + 11.4233i −0.142708 + 1.10953i
\(107\) 10.0319 10.0319i 0.969824 0.969824i −0.0297341 0.999558i \(-0.509466\pi\)
0.999558 + 0.0297341i \(0.00946607\pi\)
\(108\) −5.44043 + 8.85447i −0.523506 + 0.852022i
\(109\) 12.6448 1.21115 0.605577 0.795786i \(-0.292942\pi\)
0.605577 + 0.795786i \(0.292942\pi\)
\(110\) 0.409011 1.56094i 0.0389976 0.148830i
\(111\) 10.5062 + 12.8070i 0.997200 + 1.21559i
\(112\) −11.2717 + 3.16482i −1.06508 + 0.299047i
\(113\) −1.88933 + 1.88933i −0.177733 + 0.177733i −0.790367 0.612634i \(-0.790110\pi\)
0.612634 + 0.790367i \(0.290110\pi\)
\(114\) 7.81124 + 12.4839i 0.731590 + 1.16923i
\(115\) 7.98415 + 1.03043i 0.744525 + 0.0960878i
\(116\) −9.88231 2.58489i −0.917549 0.240001i
\(117\) −2.64871 + 1.76828i −0.244874 + 0.163477i
\(118\) 1.30426 1.00699i 0.120067 0.0927008i
\(119\) 13.0261 1.19410
\(120\) −8.97580 6.27974i −0.819374 0.573259i
\(121\) −10.7396 −0.976329
\(122\) 5.51784 4.26019i 0.499562 0.385700i
\(123\) 0.721896 7.31452i 0.0650912 0.659528i
\(124\) 2.31125 8.83617i 0.207556 0.793511i
\(125\) 10.2963 4.35743i 0.920925 0.389740i
\(126\) −11.7690 3.96119i −1.04847 0.352891i
\(127\) 0.964015 0.964015i 0.0855425 0.0855425i −0.663041 0.748583i \(-0.730734\pi\)
0.748583 + 0.663041i \(0.230734\pi\)
\(128\) −11.2453 1.24228i −0.993953 0.109803i
\(129\) 11.2865 9.25878i 0.993718 0.815190i
\(130\) −1.69456 2.89791i −0.148622 0.254164i
\(131\) −7.59234 −0.663346 −0.331673 0.943395i \(-0.607613\pi\)
−0.331673 + 0.943395i \(0.607613\pi\)
\(132\) 0.613109 1.65791i 0.0533643 0.144303i
\(133\) −12.4426 + 12.4426i −1.07891 + 1.07891i
\(134\) −2.03706 + 15.8378i −0.175975 + 1.36818i
\(135\) −4.11397 10.8662i −0.354074 0.935217i
\(136\) 11.6723 + 4.71295i 1.00089 + 0.404132i
\(137\) −0.713542 0.713542i −0.0609620 0.0609620i 0.675968 0.736931i \(-0.263726\pi\)
−0.736931 + 0.675968i \(0.763726\pi\)
\(138\) 8.59390 + 1.97863i 0.731561 + 0.168432i
\(139\) −9.01457 −0.764606 −0.382303 0.924037i \(-0.624869\pi\)
−0.382303 + 0.924037i \(0.624869\pi\)
\(140\) 4.90598 12.1353i 0.414631 1.02562i
\(141\) −5.18655 6.32241i −0.436787 0.532443i
\(142\) −5.69942 + 4.40038i −0.478284 + 0.369272i
\(143\) 0.383038 0.383038i 0.0320312 0.0320312i
\(144\) −9.11269 7.80762i −0.759390 0.650635i
\(145\) 9.04271 6.97542i 0.750956 0.579277i
\(146\) −0.818111 + 6.36069i −0.0677073 + 0.526414i
\(147\) 0.266524 2.70052i 0.0219825 0.222735i
\(148\) −16.5077 + 9.66243i −1.35692 + 0.794247i
\(149\) 13.1573i 1.07789i 0.842341 + 0.538944i \(0.181177\pi\)
−0.842341 + 0.538944i \(0.818823\pi\)
\(150\) 11.6917 3.64751i 0.954623 0.297818i
\(151\) 2.75982 0.224591 0.112295 0.993675i \(-0.464180\pi\)
0.112295 + 0.993675i \(0.464180\pi\)
\(152\) −15.6512 + 6.64761i −1.26948 + 0.539192i
\(153\) 7.41324 + 11.1043i 0.599325 + 0.897731i
\(154\) 2.09491 + 0.269447i 0.168812 + 0.0217126i
\(155\) 6.23700 + 8.08545i 0.500968 + 0.649439i
\(156\) −1.53697 3.34081i −0.123056 0.267479i
\(157\) −4.38090 4.38090i −0.349634 0.349634i 0.510339 0.859973i \(-0.329520\pi\)
−0.859973 + 0.510339i \(0.829520\pi\)
\(158\) 8.18522 6.31961i 0.651181 0.502761i
\(159\) −8.94650 10.9058i −0.709504 0.864886i
\(160\) 8.78675 9.09907i 0.694653 0.719345i
\(161\) 10.5375i 0.830472i
\(162\) −3.32104 12.2870i −0.260925 0.965359i
\(163\) −0.470868 + 0.470868i −0.0368812 + 0.0368812i −0.725307 0.688426i \(-0.758302\pi\)
0.688426 + 0.725307i \(0.258302\pi\)
\(164\) 8.21087 + 2.14769i 0.641162 + 0.167707i
\(165\) 1.04756 + 1.67581i 0.0815522 + 0.130462i
\(166\) 1.21955 9.48180i 0.0946553 0.735930i
\(167\) 0.495354 + 0.495354i 0.0383316 + 0.0383316i 0.726013 0.687681i \(-0.241371\pi\)
−0.687681 + 0.726013i \(0.741371\pi\)
\(168\) 6.64841 12.7043i 0.512936 0.980160i
\(169\) 11.8731i 0.913312i
\(170\) −12.1491 + 7.10417i −0.931791 + 0.544865i
\(171\) −17.6880 3.52572i −1.35263 0.269619i
\(172\) 8.51523 + 14.5477i 0.649280 + 1.10925i
\(173\) 2.32674 + 2.32674i 0.176899 + 0.176899i 0.790002 0.613104i \(-0.210079\pi\)
−0.613104 + 0.790002i \(0.710079\pi\)
\(174\) 10.6055 6.63592i 0.804002 0.503068i
\(175\) 7.38178 + 12.6363i 0.558010 + 0.955218i
\(176\) 1.77970 + 0.999395i 0.134150 + 0.0753323i
\(177\) −0.198209 + 2.00833i −0.0148983 + 0.150955i
\(178\) 10.9269 + 14.1527i 0.819008 + 1.06079i
\(179\) 13.9141i 1.03999i −0.854169 0.519996i \(-0.825934\pi\)
0.854169 0.519996i \(-0.174066\pi\)
\(180\) 13.1369 2.72409i 0.979170 0.203042i
\(181\) 5.80972i 0.431833i −0.976412 0.215917i \(-0.930726\pi\)
0.976412 0.215917i \(-0.0692740\pi\)
\(182\) 3.47811 2.68536i 0.257814 0.199052i
\(183\) −0.838550 + 8.49650i −0.0619874 + 0.628079i
\(184\) −3.81254 + 9.44235i −0.281064 + 0.696099i
\(185\) 2.73727 21.2094i 0.201248 1.55935i
\(186\) 5.93344 + 9.48282i 0.435061 + 0.695314i
\(187\) −1.60583 1.60583i −0.117430 0.117430i
\(188\) 8.14930 4.77003i 0.594349 0.347890i
\(189\) 13.4171 7.16122i 0.975950 0.520902i
\(190\) 4.81889 18.3907i 0.349599 1.33420i
\(191\) 13.8456i 1.00183i −0.865497 0.500914i \(-0.832997\pi\)
0.865497 0.500914i \(-0.167003\pi\)
\(192\) 10.5540 8.97853i 0.761666 0.647969i
\(193\) 4.57254 + 4.57254i 0.329138 + 0.329138i 0.852259 0.523120i \(-0.175232\pi\)
−0.523120 + 0.852259i \(0.675232\pi\)
\(194\) −21.5800 2.77562i −1.54935 0.199278i
\(195\) 4.00624 + 0.924205i 0.286893 + 0.0661837i
\(196\) 3.03145 + 0.792928i 0.216532 + 0.0566377i
\(197\) 3.85757 3.85757i 0.274840 0.274840i −0.556205 0.831045i \(-0.687743\pi\)
0.831045 + 0.556205i \(0.187743\pi\)
\(198\) 0.962528 + 1.93918i 0.0684039 + 0.137811i
\(199\) 5.91833i 0.419540i −0.977751 0.209770i \(-0.932729\pi\)
0.977751 0.209770i \(-0.0672714\pi\)
\(200\) 2.04268 + 13.9938i 0.144439 + 0.989514i
\(201\) −12.4039 15.1203i −0.874900 1.06650i
\(202\) −5.53993 7.17537i −0.389788 0.504858i
\(203\) 10.5704 + 10.5704i 0.741896 + 0.741896i
\(204\) −14.0058 + 6.44352i −0.980606 + 0.451137i
\(205\) −7.51328 + 5.79564i −0.524750 + 0.404785i
\(206\) −0.475344 + 3.69573i −0.0331188 + 0.257494i
\(207\) −8.98285 + 5.99695i −0.624351 + 0.416817i
\(208\) 4.08821 1.14787i 0.283467 0.0795904i
\(209\) 3.06777 0.212202
\(210\) 6.69398 + 14.5668i 0.461929 + 1.00521i
\(211\) 6.95372i 0.478714i 0.970932 + 0.239357i \(0.0769366\pi\)
−0.970932 + 0.239357i \(0.923063\pi\)
\(212\) 14.0571 8.22802i 0.965444 0.565103i
\(213\) 0.866144 8.77609i 0.0593472 0.601328i
\(214\) −19.8999 2.55953i −1.36033 0.174966i
\(215\) −18.6913 2.41228i −1.27473 0.164516i
\(216\) 14.6136 1.56256i 0.994332 0.106319i
\(217\) −9.45141 + 9.45141i −0.641604 + 0.641604i
\(218\) −10.9284 14.1546i −0.740166 0.958671i
\(219\) −4.98156 6.07252i −0.336622 0.410343i
\(220\) −2.10080 + 0.891212i −0.141636 + 0.0600855i
\(221\) −4.72454 −0.317807
\(222\) 5.25610 22.8292i 0.352766 1.53219i
\(223\) −16.7218 16.7218i −1.11977 1.11977i −0.991774 0.127998i \(-0.959145\pi\)
−0.127998 0.991774i \(-0.540855\pi\)
\(224\) 13.2844 + 9.88231i 0.887601 + 0.660290i
\(225\) −6.57103 + 13.4841i −0.438069 + 0.898941i
\(226\) 3.74778 + 0.482039i 0.249298 + 0.0320647i
\(227\) −12.4814 + 12.4814i −0.828416 + 0.828416i −0.987298 0.158881i \(-0.949211\pi\)
0.158881 + 0.987298i \(0.449211\pi\)
\(228\) 7.22354 19.5332i 0.478390 1.29362i
\(229\) 1.09678 0.0724770 0.0362385 0.999343i \(-0.488462\pi\)
0.0362385 + 0.999343i \(0.488462\pi\)
\(230\) −5.74692 9.82800i −0.378941 0.648039i
\(231\) −2.00000 + 1.64069i −0.131590 + 0.107949i
\(232\) 5.64737 + 13.2963i 0.370768 + 0.872942i
\(233\) 6.98082 6.98082i 0.457329 0.457329i −0.440449 0.897778i \(-0.645181\pi\)
0.897778 + 0.440449i \(0.145181\pi\)
\(234\) 4.26859 + 1.43671i 0.279046 + 0.0939207i
\(235\) −1.35130 + 10.4704i −0.0881492 + 0.683014i
\(236\) −2.25444 0.589688i −0.146752 0.0383854i
\(237\) −1.24391 + 12.6038i −0.0808008 + 0.818704i
\(238\) −11.2580 14.5814i −0.729746 0.945174i
\(239\) −12.3210 −0.796976 −0.398488 0.917173i \(-0.630465\pi\)
−0.398488 + 0.917173i \(0.630465\pi\)
\(240\) 0.727899 + 15.4748i 0.0469857 + 0.998896i
\(241\) −7.03833 −0.453379 −0.226689 0.973967i \(-0.572790\pi\)
−0.226689 + 0.973967i \(0.572790\pi\)
\(242\) 9.28183 + 12.0219i 0.596659 + 0.772798i
\(243\) 13.7404 + 7.36211i 0.881449 + 0.472279i
\(244\) −9.53771 2.49475i −0.610589 0.159710i
\(245\) −2.77390 + 2.13975i −0.177218 + 0.136704i
\(246\) −8.81177 + 5.51356i −0.561818 + 0.351532i
\(247\) 4.51288 4.51288i 0.287148 0.287148i
\(248\) −11.8887 + 5.04954i −0.754934 + 0.320646i
\(249\) 7.42595 + 9.05224i 0.470600 + 0.573662i
\(250\) −13.7763 7.75966i −0.871292 0.490764i
\(251\) 9.92262 0.626311 0.313155 0.949702i \(-0.398614\pi\)
0.313155 + 0.949702i \(0.398614\pi\)
\(252\) 5.73735 + 16.5977i 0.361419 + 1.04556i
\(253\) 1.29904 1.29904i 0.0816696 0.0816696i
\(254\) −1.91228 0.245957i −0.119987 0.0154327i
\(255\) 3.87459 16.7956i 0.242636 1.05178i
\(256\) 8.32826 + 13.6616i 0.520516 + 0.853852i
\(257\) 14.5324 + 14.5324i 0.906508 + 0.906508i 0.995989 0.0894809i \(-0.0285208\pi\)
−0.0894809 + 0.995989i \(0.528521\pi\)
\(258\) −20.1187 4.63206i −1.25254 0.288379i
\(259\) 27.9923 1.73935
\(260\) −1.77938 + 4.40144i −0.110353 + 0.272966i
\(261\) −2.99522 + 15.0266i −0.185400 + 0.930120i
\(262\) 6.56176 + 8.49885i 0.405387 + 0.525061i
\(263\) −10.8634 + 10.8634i −0.669867 + 0.669867i −0.957685 0.287818i \(-0.907070\pi\)
0.287818 + 0.957685i \(0.407070\pi\)
\(264\) −2.38575 + 0.746557i −0.146833 + 0.0459474i
\(265\) −2.33092 + 18.0608i −0.143187 + 1.10947i
\(266\) 24.6818 + 3.17457i 1.51334 + 0.194646i
\(267\) −21.7926 2.15079i −1.33369 0.131626i
\(268\) 19.4894 11.4077i 1.19050 0.696838i
\(269\) 32.3280i 1.97108i −0.169455 0.985538i \(-0.554201\pi\)
0.169455 0.985538i \(-0.445799\pi\)
\(270\) −8.60812 + 13.9964i −0.523874 + 0.851796i
\(271\) 0.306338 0.0186087 0.00930434 0.999957i \(-0.497038\pi\)
0.00930434 + 0.999957i \(0.497038\pi\)
\(272\) −4.81227 17.1392i −0.291787 1.03922i
\(273\) −0.528571 + 5.35567i −0.0319905 + 0.324140i
\(274\) −0.182052 + 1.41543i −0.0109982 + 0.0855090i
\(275\) 0.647769 2.46778i 0.0390619 0.148813i
\(276\) −5.21250 11.3300i −0.313755 0.681989i
\(277\) −6.97897 6.97897i −0.419326 0.419326i 0.465645 0.884971i \(-0.345822\pi\)
−0.884971 + 0.465645i \(0.845822\pi\)
\(278\) 7.79094 + 10.0909i 0.467270 + 0.605212i
\(279\) −13.4358 2.67815i −0.804383 0.160337i
\(280\) −17.8243 + 4.99632i −1.06521 + 0.298587i
\(281\) 15.4596i 0.922240i 0.887338 + 0.461120i \(0.152552\pi\)
−0.887338 + 0.461120i \(0.847448\pi\)
\(282\) −2.59477 + 11.2700i −0.154516 + 0.671121i
\(283\) −8.86458 + 8.86458i −0.526945 + 0.526945i −0.919660 0.392715i \(-0.871536\pi\)
0.392715 + 0.919660i \(0.371536\pi\)
\(284\) 9.85156 + 2.57684i 0.584583 + 0.152908i
\(285\) 12.3421 + 19.7441i 0.731084 + 1.16954i
\(286\) −0.759816 0.0977275i −0.0449289 0.00577875i
\(287\) −8.78258 8.78258i −0.518419 0.518419i
\(288\) −0.864107 + 16.9485i −0.0509180 + 0.998703i
\(289\) 2.80690i 0.165112i
\(290\) −15.6235 4.09381i −0.917446 0.240397i
\(291\) 20.6023 16.9010i 1.20773 0.990754i
\(292\) 7.82720 4.58150i 0.458053 0.268112i
\(293\) 1.49638 + 1.49638i 0.0874192 + 0.0874192i 0.749464 0.662045i \(-0.230311\pi\)
−0.662045 + 0.749464i \(0.730311\pi\)
\(294\) −3.25330 + 2.03560i −0.189736 + 0.118719i
\(295\) 2.06291 1.59130i 0.120107 0.0926489i
\(296\) 25.0830 + 10.1278i 1.45792 + 0.588666i
\(297\) −2.53684 0.771206i −0.147202 0.0447499i
\(298\) 14.7283 11.3713i 0.853186 0.658724i
\(299\) 3.82192i 0.221027i
\(300\) −14.1877 9.93526i −0.819127 0.573613i
\(301\) 24.6688i 1.42189i
\(302\) −2.38520 3.08933i −0.137253 0.177771i
\(303\) 11.0488 + 1.09045i 0.634738 + 0.0626445i
\(304\) 20.9681 + 11.7747i 1.20260 + 0.675325i
\(305\) 8.72738 6.73218i 0.499728 0.385484i
\(306\) 6.02319 17.8954i 0.344323 1.02301i
\(307\) 12.4948 + 12.4948i 0.713118 + 0.713118i 0.967186 0.254068i \(-0.0817688\pi\)
−0.254068 + 0.967186i \(0.581769\pi\)
\(308\) −1.50893 2.57791i −0.0859791 0.146890i
\(309\) −2.89442 3.52830i −0.164658 0.200718i
\(310\) 3.66044 13.9696i 0.207899 0.793421i
\(311\) 0.224632i 0.0127377i 0.999980 + 0.00636886i \(0.00202728\pi\)
−0.999980 + 0.00636886i \(0.997973\pi\)
\(312\) −2.41136 + 4.60782i −0.136516 + 0.260866i
\(313\) −12.0383 12.0383i −0.680447 0.680447i 0.279654 0.960101i \(-0.409780\pi\)
−0.960101 + 0.279654i \(0.909780\pi\)
\(314\) −1.11774 + 8.69022i −0.0630775 + 0.490417i
\(315\) −18.6058 6.27123i −1.04832 0.353344i
\(316\) −14.1483 3.70073i −0.795905 0.208183i
\(317\) −20.2257 + 20.2257i −1.13599 + 1.13599i −0.146829 + 0.989162i \(0.546907\pi\)
−0.989162 + 0.146829i \(0.953093\pi\)
\(318\) −4.47582 + 19.4401i −0.250992 + 1.09015i
\(319\) 2.60618i 0.145918i
\(320\) −17.7795 1.97190i −0.993906 0.110233i
\(321\) 18.9984 15.5852i 1.06039 0.869882i
\(322\) 11.7957 9.10715i 0.657347 0.507522i
\(323\) −18.9196 18.9196i −1.05271 1.05271i
\(324\) −10.8838 + 14.3367i −0.604657 + 0.796486i
\(325\) −2.67735 4.58316i −0.148513 0.254228i
\(326\) 0.934042 + 0.120136i 0.0517318 + 0.00665374i
\(327\) 21.7956 + 2.15109i 1.20530 + 0.118955i
\(328\) −4.69221 11.0474i −0.259084 0.609991i
\(329\) −13.8189 −0.761860
\(330\) 0.970542 2.62097i 0.0534266 0.144280i
\(331\) 12.3308i 0.677760i −0.940830 0.338880i \(-0.889952\pi\)
0.940830 0.338880i \(-0.110048\pi\)
\(332\) −11.6679 + 6.82959i −0.640361 + 0.374822i
\(333\) 15.9305 + 23.8624i 0.872988 + 1.30765i
\(334\) 0.126384 0.982613i 0.00691540 0.0537662i
\(335\) −3.23169 + 25.0404i −0.176566 + 1.36810i
\(336\) −19.9672 + 3.53763i −1.08930 + 0.192993i
\(337\) 10.6723 10.6723i 0.581359 0.581359i −0.353918 0.935277i \(-0.615151\pi\)
0.935277 + 0.353918i \(0.115151\pi\)
\(338\) 13.2907 10.2614i 0.722918 0.558147i
\(339\) −3.57799 + 2.93518i −0.194330 + 0.159417i
\(340\) 18.4524 + 7.45980i 1.00072 + 0.404564i
\(341\) 2.33029 0.126192
\(342\) 11.3403 + 22.8470i 0.613215 + 1.23543i
\(343\) 11.2449 + 11.2449i 0.607166 + 0.607166i
\(344\) 8.92534 22.1050i 0.481222 1.19182i
\(345\) 13.5868 + 3.13435i 0.731488 + 0.168748i
\(346\) 0.593640 4.61546i 0.0319143 0.248129i
\(347\) −8.00457 + 8.00457i −0.429708 + 0.429708i −0.888529 0.458821i \(-0.848272\pi\)
0.458821 + 0.888529i \(0.348272\pi\)
\(348\) −16.5942 6.13664i −0.889541 0.328959i
\(349\) −13.9579 −0.747152 −0.373576 0.927600i \(-0.621868\pi\)
−0.373576 + 0.927600i \(0.621868\pi\)
\(350\) 7.76533 19.1843i 0.415074 1.02544i
\(351\) −4.86633 + 2.59735i −0.259746 + 0.138636i
\(352\) −0.419399 2.85593i −0.0223541 0.152221i
\(353\) 11.8744 11.8744i 0.632008 0.632008i −0.316563 0.948571i \(-0.602529\pi\)
0.948571 + 0.316563i \(0.102529\pi\)
\(354\) 2.41943 1.51385i 0.128591 0.0804600i
\(355\) −9.01457 + 6.95372i −0.478444 + 0.369065i
\(356\) 6.39876 24.4632i 0.339134 1.29655i
\(357\) 22.4528 + 2.21595i 1.18833 + 0.117281i
\(358\) −15.5755 + 12.0254i −0.823189 + 0.635564i
\(359\) 33.8765 1.78793 0.893967 0.448133i \(-0.147911\pi\)
0.893967 + 0.448133i \(0.147911\pi\)
\(360\) −14.4031 12.3512i −0.759109 0.650963i
\(361\) 17.1439 0.902313
\(362\) −6.50340 + 5.02112i −0.341811 + 0.263904i
\(363\) −18.5116 1.82698i −0.971608 0.0958915i
\(364\) −6.01198 1.57254i −0.315114 0.0824233i
\(365\) −1.29789 + 10.0566i −0.0679347 + 0.526385i
\(366\) 10.2357 6.40452i 0.535029 0.334770i
\(367\) 10.7900 10.7900i 0.563233 0.563233i −0.366992 0.930224i \(-0.619612\pi\)
0.930224 + 0.366992i \(0.119612\pi\)
\(368\) 13.8648 3.89289i 0.722752 0.202931i
\(369\) 2.48863 12.4851i 0.129553 0.649946i
\(370\) −26.1075 + 15.2664i −1.35726 + 0.793660i
\(371\) −23.8368 −1.23754
\(372\) 5.48702 14.8375i 0.284489 0.769289i
\(373\) 25.8380 25.8380i 1.33784 1.33784i 0.439697 0.898146i \(-0.355086\pi\)
0.898146 0.439697i \(-0.144914\pi\)
\(374\) −0.409708 + 3.18541i −0.0211855 + 0.164714i
\(375\) 18.4887 5.75924i 0.954751 0.297406i
\(376\) −12.3827 4.99977i −0.638588 0.257843i
\(377\) −3.83385 3.83385i −0.197453 0.197453i
\(378\) −19.6121 8.82991i −1.00874 0.454162i
\(379\) 12.2262 0.628019 0.314010 0.949420i \(-0.398328\pi\)
0.314010 + 0.949420i \(0.398328\pi\)
\(380\) −24.7513 + 10.5001i −1.26971 + 0.538644i
\(381\) 1.82564 1.49766i 0.0935306 0.0767272i
\(382\) −15.4987 + 11.9662i −0.792982 + 0.612242i
\(383\) 21.6256 21.6256i 1.10501 1.10501i 0.111219 0.993796i \(-0.464525\pi\)
0.993796 0.111219i \(-0.0354754\pi\)
\(384\) −19.1719 4.05430i −0.978363 0.206895i
\(385\) 3.31215 + 0.427464i 0.168803 + 0.0217856i
\(386\) 1.16663 9.07035i 0.0593798 0.461669i
\(387\) 21.0293 14.0391i 1.06898 0.713649i
\(388\) 15.5437 + 26.5555i 0.789112 + 1.34815i
\(389\) 6.63941i 0.336632i 0.985733 + 0.168316i \(0.0538328\pi\)
−0.985733 + 0.168316i \(0.946167\pi\)
\(390\) −2.42789 5.28334i −0.122941 0.267532i
\(391\) −16.0228 −0.810309
\(392\) −1.73236 4.07870i −0.0874975 0.206006i
\(393\) −13.0867 1.29158i −0.660138 0.0651514i
\(394\) −7.65210 0.984213i −0.385507 0.0495839i
\(395\) 12.9463 9.98658i 0.651398 0.502480i
\(396\) 1.33884 2.75341i 0.0672792 0.138364i
\(397\) −14.0596 14.0596i −0.705629 0.705629i 0.259984 0.965613i \(-0.416283\pi\)
−0.965613 + 0.259984i \(0.916283\pi\)
\(398\) −6.62498 + 5.11498i −0.332080 + 0.256391i
\(399\) −23.5636 + 19.3303i −1.17966 + 0.967725i
\(400\) 13.8993 14.3809i 0.694964 0.719045i
\(401\) 18.1176i 0.904751i 0.891827 + 0.452376i \(0.149423\pi\)
−0.891827 + 0.452376i \(0.850577\pi\)
\(402\) −6.20550 + 26.9528i −0.309502 + 1.34428i
\(403\) 3.42800 3.42800i 0.170761 0.170761i
\(404\) −3.24416 + 12.4028i −0.161403 + 0.617062i
\(405\) −5.24263 19.4297i −0.260508 0.965472i
\(406\) 2.69691 20.9681i 0.133845 1.04063i
\(407\) −3.45081 3.45081i −0.171050 0.171050i
\(408\) 19.3176 + 10.1092i 0.956363 + 0.500482i
\(409\) 26.3245i 1.30166i −0.759223 0.650831i \(-0.774421\pi\)
0.759223 0.650831i \(-0.225579\pi\)
\(410\) 12.9811 + 3.40141i 0.641089 + 0.167984i
\(411\) −1.10853 1.35130i −0.0546798 0.0666548i
\(412\) 4.54782 2.66197i 0.224055 0.131146i
\(413\) 2.41142 + 2.41142i 0.118658 + 0.118658i
\(414\) 14.4765 + 4.87247i 0.711481 + 0.239469i
\(415\) 1.93475 14.9912i 0.0949732 0.735890i
\(416\) −4.81820 3.58428i −0.236232 0.175734i
\(417\) −15.5382 1.53352i −0.760909 0.0750969i
\(418\) −2.65135 3.43406i −0.129682 0.167965i
\(419\) 12.7809i 0.624385i 0.950019 + 0.312193i \(0.101063\pi\)
−0.950019 + 0.312193i \(0.898937\pi\)
\(420\) 10.5207 20.0828i 0.513359 0.979938i
\(421\) 26.3792i 1.28564i 0.766017 + 0.642821i \(0.222236\pi\)
−0.766017 + 0.642821i \(0.777764\pi\)
\(422\) 7.78398 6.00983i 0.378918 0.292554i
\(423\) −7.86440 11.7801i −0.382380 0.572769i
\(424\) −21.3594 8.62431i −1.03730 0.418833i
\(425\) −19.2142 + 11.2244i −0.932026 + 0.544462i
\(426\) −10.5725 + 6.61527i −0.512240 + 0.320511i
\(427\) 10.2018 + 10.2018i 0.493700 + 0.493700i
\(428\) 14.3336 + 24.4881i 0.692841 + 1.18368i
\(429\) 0.725393 0.595072i 0.0350223 0.0287303i
\(430\) 13.4538 + 23.0078i 0.648801 + 1.10954i
\(431\) 28.6818i 1.38155i 0.723068 + 0.690777i \(0.242731\pi\)
−0.723068 + 0.690777i \(0.757269\pi\)
\(432\) −14.3791 15.0080i −0.691816 0.722074i
\(433\) −2.25457 2.25457i −0.108347 0.108347i 0.650855 0.759202i \(-0.274411\pi\)
−0.759202 + 0.650855i \(0.774411\pi\)
\(434\) 18.7484 + 2.41142i 0.899951 + 0.115752i
\(435\) 16.7733 10.4851i 0.804220 0.502720i
\(436\) −6.39964 + 24.4665i −0.306487 + 1.17173i
\(437\) 15.3050 15.3050i 0.732137 0.732137i
\(438\) −2.49221 + 10.8246i −0.119082 + 0.517219i
\(439\) 11.8510i 0.565620i 0.959176 + 0.282810i \(0.0912665\pi\)
−0.959176 + 0.282810i \(0.908733\pi\)
\(440\) 2.81326 + 1.58140i 0.134117 + 0.0753902i
\(441\) 0.918802 4.60948i 0.0437525 0.219499i
\(442\) 4.08323 + 5.28864i 0.194219 + 0.251555i
\(443\) 1.66807 + 1.66807i 0.0792526 + 0.0792526i 0.745622 0.666369i \(-0.232153\pi\)
−0.666369 + 0.745622i \(0.732153\pi\)
\(444\) −30.0976 + 13.8467i −1.42837 + 0.657135i
\(445\) 17.2673 + 22.3848i 0.818550 + 1.06114i
\(446\) −4.26636 + 33.1703i −0.202018 + 1.57066i
\(447\) −2.23827 + 22.6789i −0.105866 + 1.07268i
\(448\) −0.418930 23.4114i −0.0197926 1.10609i
\(449\) −34.3414 −1.62067 −0.810336 0.585966i \(-0.800715\pi\)
−0.810336 + 0.585966i \(0.800715\pi\)
\(450\) 20.7732 4.29819i 0.979258 0.202619i
\(451\) 2.16539i 0.101964i
\(452\) −2.69946 4.61186i −0.126972 0.216924i
\(453\) 4.75703 + 0.469488i 0.223505 + 0.0220585i
\(454\) 24.7588 + 3.18447i 1.16199 + 0.149455i
\(455\) 5.50120 4.24355i 0.257900 0.198941i
\(456\) −28.1085 + 8.79580i −1.31630 + 0.411901i
\(457\) −4.61474 + 4.61474i −0.215869 + 0.215869i −0.806755 0.590886i \(-0.798778\pi\)
0.590886 + 0.806755i \(0.298778\pi\)
\(458\) −0.947900 1.22773i −0.0442925 0.0573680i
\(459\) 10.8890 + 20.4014i 0.508255 + 0.952254i
\(460\) −6.03461 + 14.9271i −0.281365 + 0.695977i
\(461\) −20.6452 −0.961543 −0.480772 0.876846i \(-0.659643\pi\)
−0.480772 + 0.876846i \(0.659643\pi\)
\(462\) 3.56510 + 0.820816i 0.165864 + 0.0381878i
\(463\) 27.1817 + 27.1817i 1.26324 + 1.26324i 0.949512 + 0.313730i \(0.101579\pi\)
0.313730 + 0.949512i \(0.398421\pi\)
\(464\) 10.0030 17.8131i 0.464378 0.826952i
\(465\) 9.37511 + 14.9977i 0.434760 + 0.695502i
\(466\) −13.8476 1.78107i −0.641476 0.0825067i
\(467\) −6.39901 + 6.39901i −0.296111 + 0.296111i −0.839488 0.543378i \(-0.817145\pi\)
0.543378 + 0.839488i \(0.317145\pi\)
\(468\) −2.08092 6.01994i −0.0961905 0.278272i
\(469\) −33.0484 −1.52603
\(470\) 12.8884 7.53651i 0.594499 0.347633i
\(471\) −6.80600 8.29652i −0.313604 0.382283i
\(472\) 1.28833 + 3.03326i 0.0593002 + 0.139617i
\(473\) −3.04110 + 3.04110i −0.139830 + 0.139830i
\(474\) 15.1837 9.50052i 0.697412 0.436373i
\(475\) 7.63189 29.0750i 0.350175 1.33405i
\(476\) −6.59262 + 25.2043i −0.302172 + 1.15524i
\(477\) −13.5656 20.3200i −0.621127 0.930389i
\(478\) 10.6485 + 13.7921i 0.487052 + 0.630834i
\(479\) 35.9113 1.64083 0.820414 0.571770i \(-0.193743\pi\)
0.820414 + 0.571770i \(0.193743\pi\)
\(480\) 16.6934 14.1891i 0.761946 0.647640i
\(481\) −10.1527 −0.462923
\(482\) 6.08295 + 7.87870i 0.277071 + 0.358865i
\(483\) −1.79260 + 18.1632i −0.0815660 + 0.826456i
\(484\) 5.43540 20.7801i 0.247064 0.944552i
\(485\) −34.1190 4.40337i −1.54927 0.199947i
\(486\) −3.63418 21.7438i −0.164850 0.986319i
\(487\) −23.9090 + 23.9090i −1.08342 + 1.08342i −0.0872343 + 0.996188i \(0.527803\pi\)
−0.996188 + 0.0872343i \(0.972197\pi\)
\(488\) 5.45044 + 12.8326i 0.246730 + 0.580905i
\(489\) −0.891726 + 0.731522i −0.0403252 + 0.0330806i
\(490\) 4.79261 + 1.25580i 0.216508 + 0.0567312i
\(491\) 30.9507 1.39678 0.698392 0.715715i \(-0.253899\pi\)
0.698392 + 0.715715i \(0.253899\pi\)
\(492\) 13.7875 + 5.09873i 0.621590 + 0.229868i
\(493\) −16.0728 + 16.0728i −0.723884 + 0.723884i
\(494\) −8.95201 1.15141i −0.402770 0.0518043i
\(495\) 1.52057 + 3.06677i 0.0683444 + 0.137841i
\(496\) 15.9274 + 8.94409i 0.715161 + 0.401602i
\(497\) −10.5375 10.5375i −0.472672 0.472672i
\(498\) 3.71511 16.1361i 0.166478 0.723076i
\(499\) −19.9194 −0.891716 −0.445858 0.895104i \(-0.647101\pi\)
−0.445858 + 0.895104i \(0.647101\pi\)
\(500\) 3.22020 + 22.1276i 0.144012 + 0.989576i
\(501\) 0.769562 + 0.938097i 0.0343815 + 0.0419111i
\(502\) −8.57573 11.1074i −0.382754 0.495746i
\(503\) −14.6687 + 14.6687i −0.654047 + 0.654047i −0.953965 0.299918i \(-0.903041\pi\)
0.299918 + 0.953965i \(0.403041\pi\)
\(504\) 13.6209 20.7671i 0.606724 0.925042i
\(505\) −8.75450 11.3490i −0.389570 0.505026i
\(506\) −2.57684 0.331433i −0.114555 0.0147340i
\(507\) −2.01979 + 20.4653i −0.0897022 + 0.908896i
\(508\) 1.37738 + 2.35317i 0.0611114 + 0.104405i
\(509\) 4.85493i 0.215191i −0.994195 0.107595i \(-0.965685\pi\)
0.994195 0.107595i \(-0.0343151\pi\)
\(510\) −22.1496 + 10.1785i −0.980800 + 0.450713i
\(511\) −13.2727 −0.587149
\(512\) 8.09503 21.1298i 0.357753 0.933816i
\(513\) −29.8886 9.08621i −1.31961 0.401166i
\(514\) 3.70778 28.8274i 0.163543 1.27152i
\(515\) −0.754110 + 5.84314i −0.0332301 + 0.257479i
\(516\) 12.2027 + 26.5242i 0.537194 + 1.16766i
\(517\) 1.70355 + 1.70355i 0.0749222 + 0.0749222i
\(518\) −24.1926 31.3345i −1.06296 1.37676i
\(519\) 3.61473 + 4.40636i 0.158669 + 0.193418i
\(520\) 6.46481 1.81215i 0.283501 0.0794680i
\(521\) 15.0499i 0.659346i −0.944095 0.329673i \(-0.893061\pi\)
0.944095 0.329673i \(-0.106939\pi\)
\(522\) 19.4094 9.63401i 0.849525 0.421669i
\(523\) −15.6997 + 15.6997i −0.686499 + 0.686499i −0.961456 0.274957i \(-0.911336\pi\)
0.274957 + 0.961456i \(0.411336\pi\)
\(524\) 3.84254 14.6904i 0.167862 0.641755i
\(525\) 10.5742 + 23.0367i 0.461494 + 1.00541i
\(526\) 21.5493 + 2.77167i 0.939596 + 0.120851i
\(527\) −14.3714 14.3714i −0.626026 0.626026i
\(528\) 2.89761 + 2.02539i 0.126102 + 0.0881437i
\(529\) 10.0383i 0.436449i
\(530\) 22.2318 13.0000i 0.965688 0.564686i
\(531\) −0.683298 + 3.42800i −0.0296526 + 0.148762i
\(532\) −17.7779 30.3725i −0.770770 1.31681i
\(533\) 3.18541 + 3.18541i 0.137976 + 0.137976i
\(534\) 16.4269 + 26.2535i 0.710862 + 1.13610i
\(535\) −31.4628 4.06056i −1.36026 0.175553i
\(536\) −29.6137 11.9572i −1.27912 0.516470i
\(537\) 2.36701 23.9835i 0.102144 1.03496i
\(538\) −36.1880 + 27.9399i −1.56017 + 1.20457i
\(539\) 0.799460i 0.0344352i
\(540\) 23.1073 2.46065i 0.994378 0.105889i
\(541\) 1.45079i 0.0623742i −0.999514 0.0311871i \(-0.990071\pi\)
0.999514 0.0311871i \(-0.00992877\pi\)
\(542\) −0.264756 0.342914i −0.0113722 0.0147294i
\(543\) 0.988326 10.0141i 0.0424131 0.429745i
\(544\) −15.0266 + 20.1996i −0.644258 + 0.866050i
\(545\) −17.2697 22.3879i −0.739752 0.958990i
\(546\) 6.45196 4.03702i 0.276118 0.172768i
\(547\) 1.86763 + 1.86763i 0.0798541 + 0.0798541i 0.745906 0.666052i \(-0.232017\pi\)
−0.666052 + 0.745906i \(0.732017\pi\)
\(548\) 1.74177 1.01951i 0.0744045 0.0435512i
\(549\) −2.89078 + 14.5026i −0.123375 + 0.618955i
\(550\) −3.32227 + 1.40769i −0.141662 + 0.0600243i
\(551\) 30.7055i 1.30810i
\(552\) −8.17788 + 15.6270i −0.348074 + 0.665128i
\(553\) 15.1334 + 15.1334i 0.643539 + 0.643539i
\(554\) −1.78060 + 13.8439i −0.0756505 + 0.588171i
\(555\) 8.32622 36.0925i 0.353428 1.53204i
\(556\) 4.56234 17.4423i 0.193486 0.739720i
\(557\) 22.6188 22.6188i 0.958389 0.958389i −0.0407789 0.999168i \(-0.512984\pi\)
0.999168 + 0.0407789i \(0.0129839\pi\)
\(558\) 8.61415 + 17.3547i 0.364666 + 0.734682i
\(559\) 8.94729i 0.378430i
\(560\) 20.9977 + 15.6344i 0.887315 + 0.660673i
\(561\) −2.49475 3.04110i −0.105328 0.128395i
\(562\) 17.3054 13.3611i 0.729985 0.563604i
\(563\) −26.6638 26.6638i −1.12375 1.12375i −0.991173 0.132574i \(-0.957676\pi\)
−0.132574 0.991173i \(-0.542324\pi\)
\(564\) 14.8582 6.83567i 0.625644 0.287833i
\(565\) 5.92543 + 0.764730i 0.249285 + 0.0321724i
\(566\) 17.5843 + 2.26169i 0.739123 + 0.0950660i
\(567\) 24.3450 10.0612i 1.02239 0.422530i
\(568\) −5.62980 13.2549i −0.236221 0.556163i
\(569\) 29.3180 1.22907 0.614537 0.788888i \(-0.289343\pi\)
0.614537 + 0.788888i \(0.289343\pi\)
\(570\) 11.4348 30.8798i 0.478949 1.29341i
\(571\) 28.4036i 1.18865i 0.804224 + 0.594326i \(0.202581\pi\)
−0.804224 + 0.594326i \(0.797419\pi\)
\(572\) 0.547283 + 0.934999i 0.0228831 + 0.0390943i
\(573\) 2.35535 23.8652i 0.0983960 0.996985i
\(574\) −2.24077 + 17.4216i −0.0935280 + 0.727165i
\(575\) −9.07997 15.5434i −0.378661 0.648203i
\(576\) 19.7190 13.6807i 0.821625 0.570028i
\(577\) −18.9787 + 18.9787i −0.790092 + 0.790092i −0.981509 0.191417i \(-0.938692\pi\)
0.191417 + 0.981509i \(0.438692\pi\)
\(578\) 3.14204 2.42590i 0.130692 0.100904i
\(579\) 7.10371 + 8.65943i 0.295220 + 0.359874i
\(580\) 8.92020 + 21.0271i 0.370391 + 0.873102i
\(581\) 19.7855 0.820839
\(582\) −36.7247 8.45536i −1.52229 0.350486i
\(583\) 2.93853 + 2.93853i 0.121702 + 0.121702i
\(584\) −11.8933 4.80216i −0.492147 0.198715i
\(585\) 6.74825 + 2.27456i 0.279006 + 0.0940413i
\(586\) 0.381782 2.96830i 0.0157713 0.122619i
\(587\) 11.2326 11.2326i 0.463619 0.463619i −0.436220 0.899840i \(-0.643683\pi\)
0.899840 + 0.436220i \(0.143683\pi\)
\(588\) 5.09035 + 1.88245i 0.209923 + 0.0776309i
\(589\) 27.4550 1.13127
\(590\) −3.56418 0.933918i −0.146735 0.0384488i
\(591\) 7.30543 5.99297i 0.300505 0.246518i
\(592\) −10.3412 36.8310i −0.425022 1.51374i
\(593\) −0.161070 + 0.161070i −0.00661435 + 0.00661435i −0.710406 0.703792i \(-0.751489\pi\)
0.703792 + 0.710406i \(0.251489\pi\)
\(594\) 1.32920 + 3.50626i 0.0545378 + 0.143863i
\(595\) −17.7905 23.0630i −0.729338 0.945489i
\(596\) −25.4581 6.65901i −1.04281 0.272764i
\(597\) 1.00680 10.2013i 0.0412057 0.417511i
\(598\) −4.27825 + 3.30313i −0.174951 + 0.135075i
\(599\) −15.6557 −0.639673 −0.319837 0.947473i \(-0.603628\pi\)
−0.319837 + 0.947473i \(0.603628\pi\)
\(600\) 1.14034 + 24.4683i 0.0465542 + 0.998916i
\(601\) 29.1506 1.18908 0.594540 0.804066i \(-0.297334\pi\)
0.594540 + 0.804066i \(0.297334\pi\)
\(602\) −27.6142 + 21.3203i −1.12547 + 0.868949i
\(603\) −18.8080 28.1726i −0.765922 1.14728i
\(604\) −1.39676 + 5.33998i −0.0568335 + 0.217281i
\(605\) 14.6676 + 19.0147i 0.596325 + 0.773056i
\(606\) −8.32841 13.3105i −0.338318 0.540700i
\(607\) 18.7872 18.7872i 0.762550 0.762550i −0.214232 0.976783i \(-0.568725\pi\)
0.976783 + 0.214232i \(0.0687250\pi\)
\(608\) −4.94129 33.6480i −0.200396 1.36461i
\(609\) 16.4217 + 20.0181i 0.665443 + 0.811176i
\(610\) −15.0787 3.95106i −0.610520 0.159974i
\(611\) 5.01206 0.202766
\(612\) −25.2377 + 8.72394i −1.02017 + 0.352644i
\(613\) 29.5115 29.5115i 1.19196 1.19196i 0.215443 0.976516i \(-0.430880\pi\)
0.976516 0.215443i \(-0.0691195\pi\)
\(614\) 3.18791 24.7855i 0.128654 1.00026i
\(615\) −13.9364 + 8.71168i −0.561969 + 0.351289i
\(616\) −1.58160 + 3.91708i −0.0637245 + 0.157823i
\(617\) 29.7517 + 29.7517i 1.19776 + 1.19776i 0.974836 + 0.222923i \(0.0715598\pi\)
0.222923 + 0.974836i \(0.428440\pi\)
\(618\) −1.44804 + 6.28938i −0.0582488 + 0.252996i
\(619\) 12.4498 0.500402 0.250201 0.968194i \(-0.419503\pi\)
0.250201 + 0.968194i \(0.419503\pi\)
\(620\) −18.8012 + 7.97590i −0.755073 + 0.320320i
\(621\) −16.5037 + 8.80867i −0.662271 + 0.353480i
\(622\) 0.251453 0.194141i 0.0100823 0.00778433i
\(623\) −26.1665 + 26.1665i −1.04834 + 1.04834i
\(624\) 7.24203 1.28309i 0.289913 0.0513646i
\(625\) −21.7770 12.2785i −0.871080 0.491140i
\(626\) −3.07144 + 23.8799i −0.122759 + 0.954434i
\(627\) 5.28785 + 0.521877i 0.211176 + 0.0208417i
\(628\) 10.6938 6.25942i 0.426730 0.249778i
\(629\) 42.5637i 1.69712i
\(630\) 9.06021 + 26.2472i 0.360967 + 1.04571i
\(631\) 43.7481 1.74158 0.870791 0.491653i \(-0.163607\pi\)
0.870791 + 0.491653i \(0.163607\pi\)
\(632\) 8.08524 + 19.0360i 0.321614 + 0.757212i
\(633\) −1.18294 + 11.9860i −0.0470176 + 0.476399i
\(634\) 40.1210 + 5.16036i 1.59341 + 0.204944i
\(635\) −3.02341 0.390198i −0.119980 0.0154845i
\(636\) 25.6296 11.7911i 1.01628 0.467548i
\(637\) 1.17605 + 1.17605i 0.0465969 + 0.0465969i
\(638\) −2.91735 + 2.25242i −0.115499 + 0.0891741i
\(639\) 2.98590 14.9798i 0.118121 0.592592i
\(640\) 13.1588 + 21.6066i 0.520147 + 0.854077i
\(641\) 13.3935i 0.529013i −0.964384 0.264506i \(-0.914791\pi\)
0.964384 0.264506i \(-0.0852090\pi\)
\(642\) −33.8656 7.79709i −1.33657 0.307727i
\(643\) −12.4335 + 12.4335i −0.490331 + 0.490331i −0.908410 0.418080i \(-0.862703\pi\)
0.418080 + 0.908410i \(0.362703\pi\)
\(644\) −20.3891 5.33311i −0.803442 0.210154i
\(645\) −31.8073 7.33766i −1.25241 0.288920i
\(646\) −4.82710 + 37.5300i −0.189920 + 1.47660i
\(647\) −0.352589 0.352589i −0.0138617 0.0138617i 0.700142 0.714004i \(-0.253120\pi\)
−0.714004 + 0.700142i \(0.753120\pi\)
\(648\) 25.4550 0.207341i 0.999967 0.00814512i
\(649\) 0.594545i 0.0233380i
\(650\) −2.81646 + 6.95807i −0.110471 + 0.272918i
\(651\) −17.8990 + 14.6833i −0.701517 + 0.575485i
\(652\) −0.672775 1.14939i −0.0263479 0.0450138i
\(653\) 10.5497 + 10.5497i 0.412841 + 0.412841i 0.882727 0.469886i \(-0.155705\pi\)
−0.469886 + 0.882727i \(0.655705\pi\)
\(654\) −16.4291 26.2571i −0.642431 1.02673i
\(655\) 10.3692 + 13.4423i 0.405160 + 0.525236i
\(656\) −8.31116 + 14.8003i −0.324496 + 0.577854i
\(657\) −7.55356 11.3145i −0.294692 0.441421i
\(658\) 11.9431 + 15.4688i 0.465591 + 0.603038i
\(659\) 30.8600i 1.20213i 0.799199 + 0.601067i \(0.205258\pi\)
−0.799199 + 0.601067i \(0.794742\pi\)
\(660\) −3.77272 + 1.17878i −0.146853 + 0.0458840i
\(661\) 44.1992i 1.71915i 0.511009 + 0.859575i \(0.329272\pi\)
−0.511009 + 0.859575i \(0.670728\pi\)
\(662\) −13.8030 + 10.6570i −0.536470 + 0.414196i
\(663\) −8.14357 0.803718i −0.316270 0.0312138i
\(664\) 17.7292 + 7.15852i 0.688025 + 0.277804i
\(665\) 39.0232 + 5.03630i 1.51326 + 0.195299i
\(666\) 12.9434 38.4560i 0.501547 1.49014i
\(667\) −13.0021 13.0021i −0.503444 0.503444i
\(668\) −1.20916 + 0.707760i −0.0467840 + 0.0273841i
\(669\) −25.9783 31.6675i −1.00438 1.22434i
\(670\) 30.8232 18.0239i 1.19081 0.696323i
\(671\) 2.51530i 0.0971021i
\(672\) 21.2169 + 19.2938i 0.818458 + 0.744274i
\(673\) 13.1276 + 13.1276i 0.506033 + 0.506033i 0.913306 0.407274i \(-0.133520\pi\)
−0.407274 + 0.913306i \(0.633520\pi\)
\(674\) −21.1703 2.72292i −0.815448 0.104883i
\(675\) −13.6202 + 22.1244i −0.524242 + 0.851570i
\(676\) −22.9732 6.00904i −0.883586 0.231117i
\(677\) 23.1658 23.1658i 0.890334 0.890334i −0.104220 0.994554i \(-0.533235\pi\)
0.994554 + 0.104220i \(0.0332347\pi\)
\(678\) 6.37795 + 1.46844i 0.244944 + 0.0563949i
\(679\) 45.0304i 1.72811i
\(680\) −7.59716 27.1028i −0.291338 1.03934i
\(681\) −23.6371 + 19.3905i −0.905775 + 0.743047i
\(682\) −2.01398 2.60852i −0.0771192 0.0998855i
\(683\) 14.8655 + 14.8655i 0.568814 + 0.568814i 0.931796 0.362982i \(-0.118241\pi\)
−0.362982 + 0.931796i \(0.618241\pi\)
\(684\) 15.7740 32.4402i 0.603132 1.24038i
\(685\) −0.288816 + 2.23786i −0.0110351 + 0.0855042i
\(686\) 2.86899 22.3060i 0.109539 0.851647i
\(687\) 1.89049 + 0.186579i 0.0721266 + 0.00711843i
\(688\) −32.4581 + 9.11344i −1.23745 + 0.347447i
\(689\) 8.64552 0.329368
\(690\) −8.23394 17.9179i −0.313461 0.682124i
\(691\) 47.2699i 1.79823i −0.437710 0.899116i \(-0.644210\pi\)
0.437710 0.899116i \(-0.355790\pi\)
\(692\) −5.67960 + 3.32444i −0.215906 + 0.126376i
\(693\) −3.72646 + 2.48778i −0.141557 + 0.0945031i
\(694\) 15.8783 + 2.04227i 0.602733 + 0.0775235i
\(695\) 12.3117 + 15.9604i 0.467008 + 0.605414i
\(696\) 7.47234 + 23.8792i 0.283238 + 0.905137i
\(697\) 13.3544 13.3544i 0.505833 0.505833i
\(698\) 12.0633 + 15.6245i 0.456603 + 0.591396i
\(699\) 13.2202 10.8451i 0.500035 0.410201i
\(700\) −28.1861 + 7.88770i −1.06533 + 0.298127i
\(701\) 7.65973 0.289304 0.144652 0.989483i \(-0.453794\pi\)
0.144652 + 0.989483i \(0.453794\pi\)
\(702\) 7.11325 + 3.20258i 0.268473 + 0.120874i
\(703\) −40.6568 40.6568i −1.53340 1.53340i
\(704\) −2.83445 + 2.93774i −0.106827 + 0.110720i
\(705\) −4.11039 + 17.8177i −0.154806 + 0.671054i
\(706\) −23.5547 3.02960i −0.886492 0.114021i
\(707\) 13.2664 13.2664i 0.498933 0.498933i
\(708\) −3.78562 1.39995i −0.142272 0.0526133i
\(709\) −43.9829 −1.65181 −0.825906 0.563808i \(-0.809336\pi\)
−0.825906 + 0.563808i \(0.809336\pi\)
\(710\) 15.5749 + 4.08108i 0.584516 + 0.153160i
\(711\) −4.28821 + 21.5132i −0.160820 + 0.806810i
\(712\) −32.9143 + 13.9798i −1.23351 + 0.523915i
\(713\) 11.6257 11.6257i 0.435387 0.435387i
\(714\) −16.9246 27.0488i −0.633386 1.01228i
\(715\) −1.20131 0.155040i −0.0449264 0.00579816i
\(716\) 26.9225 + 7.04204i 1.00614 + 0.263174i
\(717\) −21.2373 2.09599i −0.793123 0.0782762i
\(718\) −29.2781 37.9213i −1.09265 1.41521i
\(719\) −14.6227 −0.545333 −0.272666 0.962109i \(-0.587906\pi\)
−0.272666 + 0.962109i \(0.587906\pi\)
\(720\) −1.37785 + 26.7974i −0.0513494 + 0.998681i
\(721\) −7.71179 −0.287202
\(722\) −14.8168 19.1909i −0.551425 0.714212i
\(723\) −12.1318 1.19733i −0.451186 0.0445292i
\(724\) 11.2413 + 2.94034i 0.417778 + 0.109277i
\(725\) −24.7002 6.48356i −0.917342 0.240793i
\(726\) 13.9538 + 22.3009i 0.517872 + 0.827663i
\(727\) −22.1109 + 22.1109i −0.820048 + 0.820048i −0.986115 0.166067i \(-0.946893\pi\)
0.166067 + 0.986115i \(0.446893\pi\)
\(728\) 3.43563 + 8.08889i 0.127333 + 0.299794i
\(729\) 22.4316 + 15.0274i 0.830802 + 0.556569i
\(730\) 12.3790 7.23864i 0.458168 0.267914i
\(731\) 37.5102 1.38736
\(732\) −16.0155 5.92266i −0.591951 0.218908i
\(733\) 8.64610 8.64610i 0.319351 0.319351i −0.529167 0.848518i \(-0.677495\pi\)
0.848518 + 0.529167i \(0.177495\pi\)
\(734\) −21.4037 2.75294i −0.790023 0.101613i
\(735\) −5.14531 + 3.21635i −0.189788 + 0.118637i
\(736\) −16.3405 12.1557i −0.602318 0.448067i
\(737\) 4.07412 + 4.07412i 0.150072 + 0.150072i
\(738\) −16.1266 + 8.00457i −0.593628 + 0.294652i
\(739\) −29.8509 −1.09808 −0.549041 0.835796i \(-0.685007\pi\)
−0.549041 + 0.835796i \(0.685007\pi\)
\(740\) 39.6528 + 16.0306i 1.45767 + 0.589296i
\(741\) 8.54646 7.01103i 0.313962 0.257557i
\(742\) 20.6012 + 26.6828i 0.756293 + 0.979558i
\(743\) 6.78930 6.78930i 0.249075 0.249075i −0.571516 0.820591i \(-0.693644\pi\)
0.820591 + 0.571516i \(0.193644\pi\)
\(744\) −21.3513 + 6.68132i −0.782777 + 0.244949i
\(745\) 23.2952 17.9696i 0.853470 0.658355i
\(746\) −51.2539 6.59227i −1.87654 0.241360i
\(747\) 11.2600 + 16.8664i 0.411982 + 0.617110i
\(748\) 3.91984 2.29440i 0.143324 0.0838916i
\(749\) 41.5247i 1.51728i
\(750\) −22.4259 15.7187i −0.818879 0.573967i
\(751\) 22.5357 0.822339 0.411170 0.911559i \(-0.365120\pi\)
0.411170 + 0.911559i \(0.365120\pi\)
\(752\) 5.10513 + 18.1823i 0.186165 + 0.663039i
\(753\) 17.1034 + 1.68800i 0.623282 + 0.0615140i
\(754\) −0.978161 + 7.60505i −0.0356225 + 0.276959i
\(755\) −3.76922 4.88630i −0.137176 0.177831i
\(756\) 7.06580 + 29.5851i 0.256981 + 1.07600i
\(757\) 33.9790 + 33.9790i 1.23499 + 1.23499i 0.962025 + 0.272963i \(0.0880035\pi\)
0.272963 + 0.962025i \(0.411996\pi\)
\(758\) −10.5666 13.6860i −0.383798 0.497099i
\(759\) 2.46010 2.01813i 0.0892961 0.0732535i
\(760\) 33.1454 + 18.6318i 1.20231 + 0.675845i
\(761\) 34.4290i 1.24805i 0.781404 + 0.624025i \(0.214504\pi\)
−0.781404 + 0.624025i \(0.785496\pi\)
\(762\) −3.25431 0.749259i −0.117891 0.0271428i
\(763\) 26.1701 26.1701i 0.947421 0.947421i
\(764\) 26.7898 + 7.00733i 0.969222 + 0.253516i
\(765\) 9.53573 28.2910i 0.344765 1.02286i
\(766\) −42.8977 5.51751i −1.54996 0.199356i
\(767\) −0.874612 0.874612i −0.0315804 0.0315804i
\(768\) 12.0312 + 24.9650i 0.434137 + 0.900847i
\(769\) 14.8941i 0.537094i 0.963267 + 0.268547i \(0.0865434\pi\)
−0.963267 + 0.268547i \(0.913457\pi\)
\(770\) −2.38406 4.07706i −0.0859156 0.146927i
\(771\) 22.5770 + 27.5214i 0.813091 + 0.991159i
\(772\) −11.1616 + 6.53323i −0.401715 + 0.235136i
\(773\) −7.32969 7.32969i −0.263631 0.263631i 0.562897 0.826527i \(-0.309687\pi\)