Properties

Label 120.2.w.c.53.13
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 53.13
Character \(\chi\) \(=\) 120.53
Dual form 120.2.w.c.77.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.11940 + 0.864261i) q^{2} +(0.170116 + 1.72368i) q^{3} +(0.506107 + 1.93490i) q^{4} +(-1.36575 - 1.77052i) q^{5} +(-1.29928 + 2.07651i) q^{6} +(2.06963 - 2.06963i) q^{7} +(-1.10573 + 2.60334i) q^{8} +(-2.94212 + 0.586449i) q^{9} +O(q^{10})\) \(q+(1.11940 + 0.864261i) q^{2} +(0.170116 + 1.72368i) 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} +(-1.10573 + 2.60334i) q^{8} +(-2.94212 + 0.586449i) q^{9} +(0.00136610 - 3.16228i) q^{10} -0.510276 q^{11} +(-3.24905 + 1.20152i) q^{12} +(0.750647 - 0.750647i) q^{13} +(4.10544 - 0.528041i) q^{14} +(2.81946 - 2.65531i) q^{15} +(-3.48771 + 1.95854i) q^{16} +(-3.14698 - 3.14698i) q^{17} +(-3.80025 - 1.88629i) q^{18} +6.01198 q^{19} +(2.73456 - 3.53867i) q^{20} +(3.91945 + 3.21529i) q^{21} +(-0.571203 - 0.441012i) 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} +(-1.51135 - 4.97150i) q^{27} +(5.05199 + 2.95708i) q^{28} +5.10739i q^{29} +(5.45098 - 0.535599i) q^{30} -4.56672 q^{31} +(-5.59683 - 0.821906i) q^{32} +(-0.0868061 - 0.879551i) 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} +(6.72981 + 5.19592i) q^{38} +(1.42157 + 1.16618i) q^{39} +(6.11940 - 1.59781i) q^{40} +4.24355i q^{41} +(1.60857 + 6.98662i) q^{42} +(-5.95972 + 5.95972i) q^{43} +(-0.258254 - 0.987336i) q^{44} +(5.05652 + 4.40813i) q^{45} +(5.04990 - 0.649518i) q^{46} +(3.33849 + 3.33849i) q^{47} +(-3.96920 - 5.67851i) q^{48} -1.56672i q^{49} +(-5.60073 + 4.31647i) q^{50} +(4.88902 - 5.95972i) q^{51} +(1.83234 + 1.07252i) 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} +(1.02273 + 10.3627i) q^{57} +(-4.41411 + 5.71720i) q^{58} +1.16514i q^{59} +(6.56471 + 4.11151i) q^{60} -4.92929i q^{61} +(-5.11198 - 3.94684i) q^{62} +(-4.87536 + 7.30283i) 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} +(4.49639 - 7.68180i) q^{68} +(4.82112 + 3.95497i) q^{69} +(-6.54191 - 6.54756i) q^{70} +5.09150i q^{71} +(1.72645 - 8.30779i) q^{72} +(-3.20654 - 3.20654i) q^{73} +(-1.72540 - 13.4148i) q^{74} +(-8.55194 - 1.36541i) q^{75} +(3.04271 + 11.6326i) q^{76} +(-1.05608 + 1.05608i) q^{77} +(0.583424 + 2.53402i) q^{78} +7.31215i q^{79} +(8.23097 + 3.50017i) q^{80} +(8.31215 - 3.45081i) q^{81} +(-3.66754 + 4.75023i) 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} +(-8.80349 + 0.868848i) q^{87} +(0.564226 - 1.32842i) q^{88} +12.6431 q^{89} +(1.85050 + 9.30460i) q^{90} -3.10712i q^{91} +(6.21420 + 3.63736i) q^{92} +(-0.776871 - 7.87155i) 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} +(1.35405 - 1.75378i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.11940 + 0.864261i 0.791534 + 0.611125i
\(3\) 0.170116 + 1.72368i 0.0982164 + 0.995165i
\(4\) 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 \(0.0634328\pi\)
\(8\) −1.10573 + 2.60334i −0.390933 + 0.920419i
\(9\) −2.94212 + 0.586449i −0.980707 + 0.195483i
\(10\) 0.00136610 3.16228i 0.000431999 1.00000i
\(11\) −0.510276 −0.153854 −0.0769270 0.997037i \(-0.524511\pi\)
−0.0769270 + 0.997037i \(0.524511\pi\)
\(12\) −3.24905 + 1.20152i −0.937921 + 0.346850i
\(13\) 0.750647 0.750647i 0.208192 0.208192i −0.595307 0.803499i \(-0.702969\pi\)
0.803499 + 0.595307i \(0.202969\pi\)
\(14\) 4.10544 0.528041i 1.09722 0.141125i
\(15\) 2.81946 2.65531i 0.727981 0.685597i
\(16\) −3.48771 + 1.95854i −0.871928 + 0.489635i
\(17\) −3.14698 3.14698i −0.763254 0.763254i 0.213656 0.976909i \(-0.431463\pi\)
−0.976909 + 0.213656i \(0.931463\pi\)
\(18\) −3.80025 1.88629i −0.895728 0.444603i
\(19\) 6.01198 1.37924 0.689622 0.724170i \(-0.257777\pi\)
0.689622 + 0.724170i \(0.257777\pi\)
\(20\) 2.73456 3.53867i 0.611466 0.791270i
\(21\) 3.91945 + 3.21529i 0.855293 + 0.701634i
\(22\) −0.571203 0.441012i −0.121781 0.0940240i
\(23\) 2.54575 2.54575i 0.530825 0.530825i −0.389993 0.920818i \(-0.627522\pi\)
0.920818 + 0.389993i \(0.127522\pi\)
\(24\) −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
\(27\) −1.51135 4.97150i −0.290859 0.956766i
\(28\) 5.05199 + 2.95708i 0.954736 + 0.558835i
\(29\) 5.10739i 0.948418i 0.880412 + 0.474209i \(0.157266\pi\)
−0.880412 + 0.474209i \(0.842734\pi\)
\(30\) 5.45098 0.535599i 0.995207 0.0977865i
\(31\) −4.56672 −0.820207 −0.410104 0.912039i \(-0.634507\pi\)
−0.410104 + 0.912039i \(0.634507\pi\)
\(32\) −5.59683 0.821906i −0.989389 0.145294i
\(33\) −0.0868061 0.879551i −0.0151110 0.153110i
\(34\) −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 \(-0.962077\pi\)
−0.118858 0.992911i \(-0.537923\pi\)
\(38\) 6.72981 + 5.19592i 1.09172 + 0.842890i
\(39\) 1.42157 + 1.16618i 0.227633 + 0.186738i
\(40\) 6.11940 1.59781i 0.967561 0.252636i
\(41\) 4.24355i 0.662732i 0.943502 + 0.331366i \(0.107509\pi\)
−0.943502 + 0.331366i \(0.892491\pi\)
\(42\) 1.60857 + 6.98662i 0.248208 + 1.07806i
\(43\) −5.95972 + 5.95972i −0.908848 + 0.908848i −0.996179 0.0873310i \(-0.972166\pi\)
0.0873310 + 0.996179i \(0.472166\pi\)
\(44\) −0.258254 0.987336i −0.0389333 0.148846i
\(45\) 5.05652 + 4.40813i 0.753782 + 0.657125i
\(46\) 5.04990 0.649518i 0.744567 0.0957661i
\(47\) 3.33849 + 3.33849i 0.486969 + 0.486969i 0.907349 0.420379i \(-0.138103\pi\)
−0.420379 + 0.907349i \(0.638103\pi\)
\(48\) −3.96920 5.67851i −0.572905 0.819622i
\(49\) 1.56672i 0.223817i
\(50\) −5.60073 + 4.31647i −0.792062 + 0.610440i
\(51\) 4.88902 5.95972i 0.684599 0.834527i
\(52\) 1.83234 + 1.07252i 0.254100 + 0.148732i
\(53\) −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
\(57\) 1.02273 + 10.3627i 0.135464 + 1.37257i
\(58\) −4.41411 + 5.71720i −0.579602 + 0.750706i
\(59\) 1.16514i 0.151689i 0.997120 + 0.0758444i \(0.0241652\pi\)
−0.997120 + 0.0758444i \(0.975835\pi\)
\(60\) 6.56471 + 4.11151i 0.847501 + 0.530794i
\(61\) 4.92929i 0.631131i −0.948904 0.315565i \(-0.897806\pi\)
0.948904 0.315565i \(-0.102194\pi\)
\(62\) −5.11198 3.94684i −0.649222 0.501249i
\(63\) −4.87536 + 7.30283i −0.614238 + 0.920070i
\(64\) −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 0.999705 0.0242864i \(-0.00773136\pi\)
−0.0242864 + 0.999705i \(0.507731\pi\)
\(68\) 4.49639 7.68180i 0.545267 0.931555i
\(69\) 4.82112 + 3.95497i 0.580395 + 0.476123i
\(70\) −6.54191 6.54756i −0.781908 0.782584i
\(71\) 5.09150i 0.604250i 0.953268 + 0.302125i \(0.0976959\pi\)
−0.953268 + 0.302125i \(0.902304\pi\)
\(72\) 1.72645 8.30779i 0.203465 0.979082i
\(73\) −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
\(75\) −8.55194 1.36541i −0.987493 0.157664i
\(76\) 3.04271 + 11.6326i 0.349023 + 1.33435i
\(77\) −1.05608 + 1.05608i −0.120352 + 0.120352i
\(78\) 0.583424 + 2.53402i 0.0660597 + 0.286922i
\(79\) 7.31215i 0.822682i 0.911482 + 0.411341i \(0.134939\pi\)
−0.911482 + 0.411341i \(0.865061\pi\)
\(80\) 8.23097 + 3.50017i 0.920250 + 0.391331i
\(81\) 8.31215 3.45081i 0.923573 0.383423i
\(82\) −3.66754 + 4.75023i −0.405012 + 0.524575i
\(83\) 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
\(87\) −8.80349 + 0.868848i −0.943833 + 0.0931502i
\(88\) 0.564226 1.32842i 0.0601467 0.141610i
\(89\) 12.6431 1.34017 0.670083 0.742286i \(-0.266259\pi\)
0.670083 + 0.742286i \(0.266259\pi\)
\(90\) 1.85050 + 9.30460i 0.195059 + 0.980791i
\(91\) 3.10712i 0.325715i
\(92\) 6.21420 + 3.63736i 0.647875 + 0.379221i
\(93\) −0.776871 7.87155i −0.0805578 0.816241i
\(94\) 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 \(-0.0353195\pi\)
\(98\) 1.35405 1.75378i 0.136780 0.177159i
\(99\) 1.50129 0.299251i 0.150886 0.0300759i
\(100\) −10.0000 0.00863998i −1.00000 0.000863998i
\(101\) 6.41002 0.637821 0.318911 0.947785i \(-0.396683\pi\)
0.318911 + 0.947785i \(0.396683\pi\)
\(102\) 10.6235 2.44592i 1.05188 0.242182i
\(103\) −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
\(105\) 0.339736 11.3307i 0.0331548 1.10577i
\(106\) −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 \(0.00946607\pi\)
\(108\) 8.85447 5.44043i 0.852022 0.523506i
\(109\) −12.6448 −1.21115 −0.605577 0.795786i \(-0.707058\pi\)
−0.605577 + 0.795786i \(0.707058\pi\)
\(110\) −0.000697089 1.61364i −6.64648e−5 0.153854i
\(111\) 10.5062 12.8070i 0.997200 1.21559i
\(112\) −3.16482 + 11.2717i −0.299047 + 1.06508i
\(113\) 1.88933 1.88933i 0.177733 0.177733i −0.612634 0.790367i \(-0.709890\pi\)
0.790367 + 0.612634i \(0.209890\pi\)
\(114\) −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
\(117\) −1.76828 + 2.64871i −0.163477 + 0.244874i
\(118\) −1.00699 + 1.30426i −0.0927008 + 0.120067i
\(119\) −13.0261 −1.19410
\(120\) 3.79511 + 10.2760i 0.346445 + 0.938070i
\(121\) −10.7396 −0.976329
\(122\) 4.26019 5.51784i 0.385700 0.499562i
\(123\) −7.31452 + 0.721896i −0.659528 + 0.0650912i
\(124\) −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 \(0.230734\pi\)
\(128\) −1.24228 11.2453i −0.109803 0.993953i
\(129\) −11.2865 9.25878i −0.993718 0.815190i
\(130\) −2.37273 2.37478i −0.208102 0.208282i
\(131\) −7.59234 −0.663346 −0.331673 0.943395i \(-0.607613\pi\)
−0.331673 + 0.943395i \(0.607613\pi\)
\(132\) 1.65791 0.613109i 0.144303 0.0533643i
\(133\) 12.4426 12.4426i 1.07891 1.07891i
\(134\) 2.03706 + 15.8378i 0.175975 + 1.36818i
\(135\) −6.73799 + 9.46570i −0.579914 + 0.814678i
\(136\) 11.6723 4.71295i 1.00089 0.404132i
\(137\) 0.713542 + 0.713542i 0.0609620 + 0.0609620i 0.736931 0.675968i \(-0.236274\pi\)
−0.675968 + 0.736931i \(0.736274\pi\)
\(138\) 1.97863 + 8.59390i 0.168432 + 0.731561i
\(139\) 9.01457 0.764606 0.382303 0.924037i \(-0.375131\pi\)
0.382303 + 0.924037i \(0.375131\pi\)
\(140\) −1.66420 12.9833i −0.140651 1.09729i
\(141\) −5.18655 + 6.32241i −0.436787 + 0.532443i
\(142\) −4.40038 + 5.69942i −0.369272 + 0.478284i
\(143\) −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
\(147\) 2.70052 0.266524i 0.222735 0.0219825i
\(148\) 9.66243 16.5077i 0.794247 1.35692i
\(149\) 13.1573i 1.07789i 0.842341 + 0.538944i \(0.181177\pi\)
−0.842341 + 0.538944i \(0.818823\pi\)
\(150\) −8.39296 8.91954i −0.685283 0.728277i
\(151\) 2.75982 0.224591 0.112295 0.993675i \(-0.464180\pi\)
0.112295 + 0.993675i \(0.464180\pi\)
\(152\) −6.64761 + 15.6512i −0.539192 + 1.26948i
\(153\) 11.1043 + 7.41324i 0.897731 + 0.599325i
\(154\) −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 0.859973 0.510339i \(-0.170480\pi\)
−0.510339 + 0.859973i \(0.670480\pi\)
\(158\) −6.31961 + 8.18522i −0.502761 + 0.651181i
\(159\) 8.94650 10.9058i 0.709504 0.864886i
\(160\) 6.18868 + 11.0318i 0.489258 + 0.872139i
\(161\) 10.5375i 0.830472i
\(162\) 12.2870 + 3.32104i 0.965359 + 0.260925i
\(163\) 0.470868 0.470868i 0.0368812 0.0368812i −0.688426 0.725307i \(-0.741698\pi\)
0.725307 + 0.688426i \(0.241698\pi\)
\(164\) −8.21087 + 2.14769i −0.641162 + 0.167707i
\(165\) −1.43870 + 1.35494i −0.112003 + 0.105482i
\(166\) 1.21955 + 9.48180i 0.0946553 + 0.735930i
\(167\) −0.495354 0.495354i −0.0383316 0.0383316i 0.687681 0.726013i \(-0.258629\pi\)
−0.726013 + 0.687681i \(0.758629\pi\)
\(168\) −12.7043 + 6.64841i −0.980160 + 0.512936i
\(169\) 11.8731i 0.913312i
\(170\) −9.95591 + 9.94731i −0.763583 + 0.762924i
\(171\) −17.6880 + 3.52572i −1.35263 + 0.269619i
\(172\) −14.5477 8.51523i −1.10925 0.649280i
\(173\) 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
\(177\) −2.00833 + 0.198209i −0.150955 + 0.0148983i
\(178\) 14.1527 + 10.9269i 1.06079 + 0.819008i
\(179\) 13.9141i 1.03999i −0.854169 0.519996i \(-0.825934\pi\)
0.854169 0.519996i \(-0.174066\pi\)
\(180\) −5.97016 + 12.0149i −0.444989 + 0.895536i
\(181\) 5.80972i 0.431833i 0.976412 + 0.215917i \(0.0692740\pi\)
−0.976412 + 0.215917i \(0.930726\pi\)
\(182\) 2.68536 3.47811i 0.199052 0.257814i
\(183\) 8.49650 0.838550i 0.628079 0.0619874i
\(184\) 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
\(188\) −4.77003 + 8.14930i −0.347890 + 0.594349i
\(189\) −13.4171 7.16122i −0.975950 0.520902i
\(190\) 0.00821298 19.0116i 0.000595832 1.37924i
\(191\) 13.8456i 1.00183i 0.865497 + 0.500914i \(0.167003\pi\)
−0.865497 + 0.500914i \(0.832997\pi\)
\(192\) 8.97853 10.5540i 0.647969 0.761666i
\(193\) 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
\(195\) 0.123221 4.10962i 0.00882405 0.294296i
\(196\) 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 \(0.187743\pi\)
\(198\) 1.93918 + 0.962528i 0.137811 + 0.0684039i
\(199\) 5.91833i 0.419540i −0.977751 0.209770i \(-0.932729\pi\)
0.977751 0.209770i \(-0.0672714\pi\)
\(200\) −11.1865 8.65227i −0.791006 0.611808i
\(201\) −12.4039 + 15.1203i −0.874900 + 1.06650i
\(202\) 7.17537 + 5.53993i 0.504858 + 0.389788i
\(203\) 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
\(207\) −5.99695 + 8.98285i −0.416817 + 0.624351i
\(208\) −1.14787 + 4.08821i −0.0795904 + 0.283467i
\(209\) −3.06777 −0.212202
\(210\) 10.1730 12.3900i 0.702004 0.854990i
\(211\) 6.95372i 0.478714i −0.970932 0.239357i \(-0.923063\pi\)
0.970932 0.239357i \(-0.0769366\pi\)
\(212\) 8.22802 14.0571i 0.565103 0.965444i
\(213\) −8.77609 + 0.866144i −0.601328 + 0.0593472i
\(214\) 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
\(218\) −14.1546 10.9284i −0.958671 0.740166i
\(219\) 4.98156 6.07252i 0.336622 0.410343i
\(220\) −1.39538 + 1.80570i −0.0940766 + 0.121740i
\(221\) −4.72454 −0.317807
\(222\) 22.8292 5.25610i 1.53219 0.352766i
\(223\) −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
\(225\) 0.898700 14.9731i 0.0599133 0.998204i
\(226\) 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 \(0.449211\pi\)
\(228\) −19.5332 + 7.22354i −1.29362 + 0.478390i
\(229\) −1.09678 −0.0724770 −0.0362385 0.999343i \(-0.511538\pi\)
−0.0362385 + 0.999343i \(0.511538\pi\)
\(230\) −8.04689 8.05384i −0.530596 0.531055i
\(231\) −2.00000 1.64069i −0.131590 0.107949i
\(232\) −13.2963 5.64737i −0.872942 0.370768i
\(233\) −6.98082 + 6.98082i −0.457329 + 0.457329i −0.897778 0.440449i \(-0.854819\pi\)
0.440449 + 0.897778i \(0.354819\pi\)
\(234\) −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
\(237\) −12.6038 + 1.24391i −0.818704 + 0.0808008i
\(238\) −14.5814 11.2580i −0.945174 0.729746i
\(239\) 12.3210 0.796976 0.398488 0.917173i \(-0.369535\pi\)
0.398488 + 0.917173i \(0.369535\pi\)
\(240\) −4.63294 + 14.7830i −0.299055 + 0.954236i
\(241\) −7.03833 −0.453379 −0.226689 0.973967i \(-0.572790\pi\)
−0.226689 + 0.973967i \(0.572790\pi\)
\(242\) −12.0219 9.28183i −0.772798 0.596659i
\(243\) 7.36211 + 13.7404i 0.472279 + 0.881449i
\(244\) 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
\(248\) 5.04954 11.8887i 0.320646 0.754934i
\(249\) −7.42595 + 9.05224i −0.470600 + 0.573662i
\(250\) 15.2916 + 4.02095i 0.967123 + 0.254307i
\(251\) 9.92262 0.626311 0.313155 0.949702i \(-0.398614\pi\)
0.313155 + 0.949702i \(0.398614\pi\)
\(252\) −16.5977 5.73735i −1.04556 0.361419i
\(253\) −1.29904 + 1.29904i −0.0816696 + 0.0816696i
\(254\) 1.91228 0.245957i 0.119987 0.0154327i
\(255\) −17.2289 0.516586i −1.07892 0.0323499i
\(256\) 8.32826 13.6616i 0.520516 0.853852i
\(257\) −14.5324 14.5324i −0.906508 0.906508i 0.0894809 0.995989i \(-0.471479\pi\)
−0.995989 + 0.0894809i \(0.971479\pi\)
\(258\) −4.63206 20.1187i −0.288379 1.25254i
\(259\) −27.9923 −1.73935
\(260\) −0.603601 4.70898i −0.0374338 0.292039i
\(261\) −2.99522 15.0266i −0.185400 0.930120i
\(262\) −8.49885 6.56176i −0.525061 0.405387i
\(263\) 10.8634 10.8634i 0.669867 0.669867i −0.287818 0.957685i \(-0.592930\pi\)
0.957685 + 0.287818i \(0.0929298\pi\)
\(264\) 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
\(267\) 2.15079 + 21.7926i 0.131626 + 1.33369i
\(268\) −11.4077 + 19.4894i −0.696838 + 1.19050i
\(269\) 32.3280i 1.97108i −0.169455 0.985538i \(-0.554201\pi\)
0.169455 0.985538i \(-0.445799\pi\)
\(270\) −15.7233 + 4.77252i −0.956891 + 0.290446i
\(271\) 0.306338 0.0186087 0.00930434 0.999957i \(-0.497038\pi\)
0.00930434 + 0.999957i \(0.497038\pi\)
\(272\) 17.1392 + 4.81227i 1.03922 + 0.291787i
\(273\) 5.35567 0.528571i 0.324140 0.0319905i
\(274\) 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 0.884971 0.465645i \(-0.154178\pi\)
−0.465645 + 0.884971i \(0.654178\pi\)
\(278\) 10.0909 + 7.79094i 0.605212 + 0.467270i
\(279\) 13.4358 2.67815i 0.804383 0.160337i
\(280\) 9.35801 15.9717i 0.559248 0.954494i
\(281\) 15.4596i 0.922240i −0.887338 0.461120i \(-0.847448\pi\)
0.887338 0.461120i \(-0.152552\pi\)
\(282\) −11.2700 + 2.59477i −0.671121 + 0.154516i
\(283\) 8.86458 8.86458i 0.526945 0.526945i −0.392715 0.919660i \(-0.628464\pi\)
0.919660 + 0.392715i \(0.128464\pi\)
\(284\) −9.85156 + 2.57684i −0.584583 + 0.152908i
\(285\) 16.9505 15.9637i 1.00406 0.945605i
\(286\) −0.759816 + 0.0977275i −0.0449289 + 0.00577875i
\(287\) 8.78258 + 8.78258i 0.518419 + 0.518419i
\(288\) 16.9485 0.864107i 0.998703 0.0509180i
\(289\) 2.80690i 0.165112i
\(290\) 16.1510 + 0.00697721i 0.948418 + 0.000409716i
\(291\) 20.6023 + 16.9010i 1.20773 + 0.990754i
\(292\) 4.58150 7.82720i 0.268112 0.458053i
\(293\) 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
\(297\) 0.771206 + 2.53684i 0.0447499 + 0.147202i
\(298\) −11.3713 + 14.7283i −0.658724 + 0.853186i
\(299\) 3.82192i 0.221027i
\(300\) −1.68627 17.2382i −0.0973566 0.995250i
\(301\) 24.6688i 1.42189i
\(302\) 3.08933 + 2.38520i 0.177771 + 0.137253i
\(303\) 1.09045 + 11.0488i 0.0626445 + 0.634738i
\(304\) −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 0.254068 0.967186i \(-0.418231\pi\)
−0.967186 + 0.254068i \(0.918231\pi\)
\(308\) −2.57791 1.50893i −0.146890 0.0859791i
\(309\) 2.89442 3.52830i 0.164658 0.200718i
\(310\) −0.00623860 + 14.4412i −0.000354329 + 0.820207i
\(311\) 0.224632i 0.0127377i −0.999980 0.00636886i \(-0.997973\pi\)
0.999980 0.00636886i \(-0.00202728\pi\)
\(312\) −4.60782 + 2.41136i −0.260866 + 0.136516i
\(313\) −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
\(315\) 19.5883 1.34194i 1.10368 0.0756098i
\(316\) −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 \(0.953093\pi\)
\(318\) 19.4401 4.47582i 1.09015 0.250992i
\(319\) 2.60618i 0.145918i
\(320\) −2.60674 + 17.6976i −0.145721 + 0.989326i
\(321\) 18.9984 + 15.5852i 1.06039 + 0.869882i
\(322\) 9.10715 11.7957i 0.507522 0.657347i
\(323\) −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
\(327\) −2.15109 21.7956i −0.118955 1.20530i
\(328\) −11.0474 4.69221i −0.609991 0.259084i
\(329\) 13.8189 0.761860
\(330\) −2.78150 + 0.273303i −0.153117 + 0.0150449i
\(331\) 12.3308i 0.677760i 0.940830 + 0.338880i \(0.110048\pi\)
−0.940830 + 0.338880i \(0.889952\pi\)
\(332\) −6.82959 + 11.6679i −0.374822 + 0.640361i
\(333\) 23.8624 + 15.9305i 1.30765 + 0.872988i
\(334\) −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 \(0.115151\pi\)
\(338\) −10.2614 + 13.2907i −0.558147 + 0.722918i
\(339\) 3.57799 + 2.93518i 0.194330 + 0.159417i
\(340\) −19.7417 + 2.53051i −1.07064 + 0.137236i
\(341\) 2.33029 0.126192
\(342\) −22.8470 11.3403i −1.23543 0.613215i
\(343\) 11.2449 + 11.2449i 0.607166 + 0.607166i
\(344\) −8.92534 22.1050i −0.481222 1.19182i
\(345\) 0.417893 13.9374i 0.0224986 0.750363i
\(346\) 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 \(0.348272\pi\)
\(348\) −6.13664 16.5942i −0.328959 0.889541i
\(349\) 13.9579 0.747152 0.373576 0.927600i \(-0.378132\pi\)
0.373576 + 0.927600i \(0.378132\pi\)
\(350\) −2.65794 + 20.5249i −0.142073 + 1.09710i
\(351\) −4.86633 2.59735i −0.259746 0.138636i
\(352\) 2.85593 + 0.419399i 0.152221 + 0.0223541i
\(353\) −11.8744 + 11.8744i −0.632008 + 0.632008i −0.948571 0.316563i \(-0.897471\pi\)
0.316563 + 0.948571i \(0.397471\pi\)
\(354\) −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
\(357\) −2.21595 22.4528i −0.117281 1.18833i
\(358\) 12.0254 15.5755i 0.635564 0.823189i
\(359\) −33.8765 −1.78793 −0.893967 0.448133i \(-0.852089\pi\)
−0.893967 + 0.448133i \(0.852089\pi\)
\(360\) −17.0670 + 8.28966i −0.899508 + 0.436903i
\(361\) 17.1439 0.902313
\(362\) −5.02112 + 6.50340i −0.263904 + 0.341811i
\(363\) −1.82698 18.5116i −0.0958915 0.971608i
\(364\) 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 \(0.119612\pi\)
\(368\) −3.89289 + 13.8648i −0.202931 + 0.722752i
\(369\) −2.48863 12.4851i −0.129553 0.649946i
\(370\) −21.3946 + 21.3761i −1.11225 + 1.11129i
\(371\) −23.8368 −1.23754
\(372\) 14.8375 5.48702i 0.769289 0.284489i
\(373\) −25.8380 + 25.8380i −1.33784 + 1.33784i −0.439697 + 0.898146i \(0.644914\pi\)
−0.898146 + 0.439697i \(0.855086\pi\)
\(374\) 0.409708 + 3.18541i 0.0211855 + 0.164714i
\(375\) 9.26235 + 17.0061i 0.478306 + 0.878193i
\(376\) −12.3827 + 4.99977i −0.638588 + 0.257843i
\(377\) 3.83385 + 3.83385i 0.197453 + 0.197453i
\(378\) −8.82991 19.6121i −0.454162 1.00874i
\(379\) −12.2262 −0.628019 −0.314010 0.949420i \(-0.601672\pi\)
−0.314010 + 0.949420i \(0.601672\pi\)
\(380\) 16.4401 21.2744i 0.843361 1.09135i
\(381\) 1.82564 + 1.49766i 0.0935306 + 0.0767272i
\(382\) −11.9662 + 15.4987i −0.612242 + 0.792982i
\(383\) −21.6256 + 21.6256i −1.10501 + 1.10501i −0.111219 + 0.993796i \(0.535475\pi\)
−0.993796 + 0.111219i \(0.964525\pi\)
\(384\) 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
\(387\) 14.0391 21.0293i 0.713649 1.06898i
\(388\) 26.5555 + 15.5437i 1.34815 + 0.789112i
\(389\) 6.63941i 0.336632i 0.985733 + 0.168316i \(0.0538328\pi\)
−0.985733 + 0.168316i \(0.946167\pi\)
\(390\) 3.68971 4.49381i 0.186836 0.227553i
\(391\) −16.0228 −0.810309
\(392\) 4.07870 + 1.73236i 0.206006 + 0.0874975i
\(393\) −1.29158 13.0867i −0.0651514 0.660138i
\(394\) 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 0.965613 0.259984i \(-0.0837172\pi\)
−0.259984 + 0.965613i \(0.583717\pi\)
\(398\) 5.11498 6.62498i 0.256391 0.332080i
\(399\) 23.5636 + 19.3303i 1.17966 + 0.967725i
\(400\) −5.04435 19.3534i −0.252218 0.967671i
\(401\) 18.1176i 0.904751i −0.891827 0.452376i \(-0.850577\pi\)
0.891827 0.452376i \(-0.149423\pi\)
\(402\) −26.9528 + 6.20550i −1.34428 + 0.309502i
\(403\) −3.42800 + 3.42800i −0.170761 + 0.170761i
\(404\) 3.24416 + 12.4028i 0.161403 + 0.617062i
\(405\) −17.4620 10.0038i −0.867696 0.497095i
\(406\) 2.69691 + 20.9681i 0.133845 + 1.04063i
\(407\) 3.45081 + 3.45081i 0.171050 + 0.171050i
\(408\) 10.1092 + 19.3176i 0.500482 + 0.956363i
\(409\) 26.3245i 1.30166i −0.759223 0.650831i \(-0.774421\pi\)
0.759223 0.650831i \(-0.225579\pi\)
\(410\) 13.4193 + 0.00579713i 0.662732 + 0.000286300i
\(411\) −1.10853 + 1.35130i −0.0546798 + 0.0666548i
\(412\) 2.66197 4.54782i 0.131146 0.224055i
\(413\) 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
\(417\) 1.53352 + 15.5382i 0.0750969 + 0.760909i
\(418\) −3.43406 2.65135i −0.167965 0.129682i
\(419\) 12.7809i 0.624385i 0.950019 + 0.312193i \(0.101063\pi\)
−0.950019 + 0.312193i \(0.898937\pi\)
\(420\) 22.0958 5.07721i 1.07817 0.247742i
\(421\) 26.3792i 1.28564i −0.766017 0.642821i \(-0.777764\pi\)
0.766017 0.642821i \(-0.222236\pi\)
\(422\) 6.00983 7.78398i 0.292554 0.378918i
\(423\) −11.7801 7.86440i −0.572769 0.382380i
\(424\) 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
\(428\) 24.4881 + 14.3336i 1.18368 + 0.692841i
\(429\) −0.725393 0.595072i −0.0350223 0.0287303i
\(430\) 18.8381 + 18.8544i 0.908456 + 0.909241i
\(431\) 28.6818i 1.38155i −0.723068 0.690777i \(-0.757269\pi\)
0.723068 0.690777i \(-0.242731\pi\)
\(432\) 15.0080 + 14.3791i 0.722074 + 0.691816i
\(433\) −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
\(435\) 13.5617 + 14.4001i 0.650233 + 0.690431i
\(436\) −6.39964 24.4665i −0.306487 1.17173i
\(437\) 15.3050 15.3050i 0.732137 0.732137i
\(438\) 10.8246 2.49221i 0.517219 0.119082i
\(439\) 11.8510i 0.565620i 0.959176 + 0.282810i \(0.0912665\pi\)
−0.959176 + 0.282810i \(0.908733\pi\)
\(440\) −3.12258 + 0.815323i −0.148863 + 0.0388690i
\(441\) 0.918802 + 4.60948i 0.0437525 + 0.219499i
\(442\) −5.28864 4.08323i −0.251555 0.194219i
\(443\) 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
\(447\) −22.6789 + 2.23827i −1.07268 + 0.105866i
\(448\) −23.4114 0.418930i −1.10609 0.0197926i
\(449\) 34.3414 1.62067 0.810336 0.585966i \(-0.199285\pi\)
0.810336 + 0.585966i \(0.199285\pi\)
\(450\) 13.9466 15.9841i 0.657450 0.753498i
\(451\) 2.16539i 0.101964i
\(452\) 4.61186 + 2.69946i 0.216924 + 0.126972i
\(453\) 0.469488 + 4.75703i 0.0220585 + 0.223505i
\(454\) −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 \(0.298778\pi\)
\(458\) −1.22773 0.947900i −0.0573680 0.0442925i
\(459\) −10.8890 + 20.4014i −0.508255 + 0.952254i
\(460\) −2.04706 15.9701i −0.0954445 0.744608i
\(461\) −20.6452 −0.961543 −0.480772 0.876846i \(-0.659643\pi\)
−0.480772 + 0.876846i \(0.659643\pi\)
\(462\) −0.820816 3.56510i −0.0381878 0.165864i
\(463\) 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
\(465\) −12.8757 + 12.1260i −0.597095 + 0.562332i
\(466\) −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 \(0.317145\pi\)
\(468\) −6.01994 2.08092i −0.278272 0.0961905i
\(469\) 33.0484 1.52603
\(470\) 10.5618 10.5527i 0.487180 0.486759i
\(471\) −6.80600 + 8.29652i −0.313604 + 0.382283i
\(472\) −3.03326 1.28833i −0.139617 0.0593002i
\(473\) 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
\(477\) 20.3200 + 13.5656i 0.930389 + 0.621127i
\(478\) 13.7921 + 10.6485i 0.630834 + 0.487052i
\(479\) −35.9113 −1.64083 −0.820414 0.571770i \(-0.806257\pi\)
−0.820414 + 0.571770i \(0.806257\pi\)
\(480\) −17.9624 + 12.5440i −0.819869 + 0.572551i
\(481\) −10.1527 −0.462923
\(482\) −7.87870 6.08295i −0.358865 0.277071i
\(483\) 18.1632 1.79260i 0.826456 0.0815660i
\(484\) −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 \(0.972197\pi\)
\(488\) 12.8326 + 5.45044i 0.580905 + 0.246730i
\(489\) 0.891726 + 0.731522i 0.0403252 + 0.0330806i
\(490\) −4.95440 0.00214030i −0.223817 9.66888e-5i
\(491\) 30.9507 1.39678 0.698392 0.715715i \(-0.253899\pi\)
0.698392 + 0.715715i \(0.253899\pi\)
\(492\) −5.09873 13.7875i −0.229868 0.621590i
\(493\) 16.0728 16.0728i 0.723884 0.723884i
\(494\) 8.95201 1.15141i 0.402770 0.0518043i
\(495\) −2.58022 2.24936i −0.115972 0.101101i
\(496\) 15.9274 8.94409i 0.715161 0.401602i
\(497\) 10.5375 + 10.5375i 0.472672 + 0.472672i
\(498\) −16.1361 + 3.71511i −0.723076 + 0.166478i
\(499\) 19.9194 0.891716 0.445858 0.895104i \(-0.352899\pi\)
0.445858 + 0.895104i \(0.352899\pi\)
\(500\) 13.6422 + 17.7169i 0.610098 + 0.792326i
\(501\) 0.769562 0.938097i 0.0343815 0.0419111i
\(502\) 11.1074 + 8.57573i 0.495746 + 0.382754i
\(503\) 14.6687 14.6687i 0.654047 0.654047i −0.299918 0.953965i \(-0.596959\pi\)
0.953965 + 0.299918i \(0.0969593\pi\)
\(504\) −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
\(507\) −20.4653 + 2.01979i −0.908896 + 0.0897022i
\(508\) 2.35317 + 1.37738i 0.104405 + 0.0611114i
\(509\) 4.85493i 0.215191i −0.994195 0.107595i \(-0.965685\pi\)
0.994195 0.107595i \(-0.0343151\pi\)
\(510\) −18.8396 15.4686i −0.834231 0.684960i
\(511\) −13.2727 −0.587149
\(512\) 21.1298 8.09503i 0.933816 0.357753i
\(513\) −9.08621 29.8886i −0.401166 1.31961i
\(514\) −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
\(518\) −31.3345 24.1926i −1.37676 1.06296i
\(519\) −3.61473 + 4.40636i −0.158669 + 0.193418i
\(520\) 3.39412 5.79290i 0.148842 0.254035i
\(521\) 15.0499i 0.659346i 0.944095 + 0.329673i \(0.106939\pi\)
−0.944095 + 0.329673i \(0.893061\pi\)
\(522\) 9.63401 19.4094i 0.421669 0.849525i
\(523\) 15.6997 15.6997i 0.686499 0.686499i −0.274957 0.961456i \(-0.588664\pi\)
0.961456 + 0.274957i \(0.0886637\pi\)
\(524\) −3.84254 14.6904i −0.167862 0.641755i
\(525\) −20.5252 + 14.8734i −0.895794 + 0.649130i
\(526\) 21.5493 2.77167i 0.939596 0.120851i
\(527\) 14.3714 + 14.3714i 0.626026 + 0.626026i
\(528\) 2.02539 + 2.89761i 0.0881437 + 0.126102i
\(529\) 10.0383i 0.436449i
\(530\) −18.2185 + 18.2028i −0.791361 + 0.790677i
\(531\) −0.683298 3.42800i −0.0296526 0.148762i
\(532\) 30.3725 + 17.7779i 1.31681 + 0.770770i
\(533\) 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
\(537\) 23.9835 2.36701i 1.03496 0.102144i
\(538\) 27.9399 36.1880i 1.20457 1.56017i
\(539\) 0.799460i 0.0344352i
\(540\) −21.7254 8.24670i −0.934911 0.354882i
\(541\) 1.45079i 0.0623742i 0.999514 + 0.0311871i \(0.00992877\pi\)
−0.999514 + 0.0311871i \(0.990071\pi\)
\(542\) 0.342914 + 0.264756i 0.0147294 + 0.0113722i
\(543\) −10.0141 + 0.988326i −0.429745 + 0.0424131i
\(544\) 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 0.666052 0.745906i \(-0.267983\pi\)
−0.745906 + 0.666052i \(0.767983\pi\)
\(548\) −1.01951 + 1.74177i −0.0435512 + 0.0744045i
\(549\) 2.89078 + 14.5026i 0.123375 + 0.618955i
\(550\) 2.85792 2.20259i 0.121862 0.0939188i
\(551\) 30.7055i 1.30810i
\(552\) −15.6270 + 8.17788i −0.665128 + 0.348074i
\(553\) 15.1334 + 15.1334i 0.643539 + 0.643539i
\(554\) 1.78060 + 13.8439i 0.0756505 + 0.588171i
\(555\) −37.0238 1.11011i −1.57157 0.0471214i
\(556\) 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 \(0.0129839\pi\)
\(558\) 17.3547 + 8.61415i 0.734682 + 0.364666i
\(559\) 8.94729i 0.378430i
\(560\) 24.2791 9.79099i 1.02598 0.413745i
\(561\) −2.49475 + 3.04110i −0.105328 + 0.128395i
\(562\) 13.3611 17.3054i 0.563604 0.729985i
\(563\) −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
\(567\) 10.0612 24.3450i 0.422530 1.02239i
\(568\) −13.2549 5.62980i −0.556163 0.236221i
\(569\) −29.3180 −1.22907 −0.614537 0.788888i \(-0.710657\pi\)
−0.614537 + 0.788888i \(0.710657\pi\)
\(570\) 32.7712 3.22001i 1.37263 0.134871i
\(571\) 28.4036i 1.18865i −0.804224 0.594326i \(-0.797419\pi\)
0.804224 0.594326i \(-0.202581\pi\)
\(572\) −0.934999 0.547283i −0.0390943 0.0228831i
\(573\) −23.8652 + 2.35535i −0.996985 + 0.0983960i
\(574\) 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 \(0.438692\pi\)
\(578\) −2.42590 + 3.14204i −0.100904 + 0.130692i
\(579\) −7.10371 + 8.65943i −0.295220 + 0.359874i
\(580\) 18.0734 + 13.9665i 0.750455 + 0.579926i
\(581\) 19.7855 0.820839
\(582\) 8.45536 + 36.7247i 0.350486 + 1.52229i
\(583\) 2.93853 + 2.93853i 0.121702 + 0.121702i
\(584\) 11.8933 4.80216i 0.492147 0.198715i
\(585\) 7.10461 0.486718i 0.293740 0.0201233i
\(586\) 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 \(0.143683\pi\)
\(588\) 1.88245 + 5.09035i 0.0776309 + 0.209923i
\(589\) −27.4550 −1.13127
\(590\) 3.68451 + 0.00159170i 0.151689 + 6.55295e-5i
\(591\) 7.30543 + 5.99297i 0.300505 + 0.246518i
\(592\) 36.8310 + 10.3412i 1.51374 + 0.425022i
\(593\) 0.161070 0.161070i 0.00661435 0.00661435i −0.703792 0.710406i \(-0.748511\pi\)
0.710406 + 0.703792i \(0.248511\pi\)
\(594\) −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
\(597\) 10.2013 1.00680i 0.417511 0.0412057i
\(598\) 3.30313 4.27825i 0.135075 0.174951i
\(599\) 15.6557 0.639673 0.319837 0.947473i \(-0.396372\pi\)
0.319837 + 0.947473i \(0.396372\pi\)
\(600\) 13.0107 20.7538i 0.531160 0.847271i
\(601\) 29.1506 1.18908 0.594540 0.804066i \(-0.297334\pi\)
0.594540 + 0.804066i \(0.297334\pi\)
\(602\) −21.3203 + 27.6142i −0.868949 + 1.12547i
\(603\) −28.1726 18.8080i −1.14728 0.765922i
\(604\) 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 \(0.0687250\pi\)
\(608\) −33.6480 4.94129i −1.36461 0.200396i
\(609\) −16.4217 + 20.0181i −0.665443 + 0.811176i
\(610\) −15.5878 0.00673391i −0.631131 0.000272648i
\(611\) 5.01206 0.202766
\(612\) −8.72394 + 25.2377i −0.352644 + 1.02017i
\(613\) −29.5115 + 29.5115i −1.19196 + 1.19196i −0.215443 + 0.976516i \(0.569120\pi\)
−0.976516 + 0.215443i \(0.930880\pi\)
\(614\) −3.18791 24.7855i −0.128654 1.00026i
\(615\) 11.2679 + 11.9645i 0.454367 + 0.482456i
\(616\) −1.58160 3.91708i −0.0637245 0.157823i
\(617\) −29.7517 29.7517i −1.19776 1.19776i −0.974836 0.222923i \(-0.928440\pi\)
−0.222923 0.974836i \(-0.571560\pi\)
\(618\) 6.28938 1.44804i 0.252996 0.0582488i
\(619\) −12.4498 −0.500402 −0.250201 0.968194i \(-0.580497\pi\)
−0.250201 + 0.968194i \(0.580497\pi\)
\(620\) −12.4880 + 16.1601i −0.501529 + 0.649006i
\(621\) −16.5037 8.80867i −0.662271 0.353480i
\(622\) 0.194141 0.251453i 0.00778433 0.0100823i
\(623\) 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
\(627\) −0.521877 5.28785i −0.0208417 0.211176i
\(628\) −6.25942 + 10.6938i −0.249778 + 0.426730i
\(629\) 42.5637i 1.69712i
\(630\) 23.0869 + 15.4272i 0.919804 + 0.614636i
\(631\) 43.7481 1.74158 0.870791 0.491653i \(-0.163607\pi\)
0.870791 + 0.491653i \(0.163607\pi\)
\(632\) −19.0360 8.08524i −0.757212 0.321614i
\(633\) 11.9860 1.18294i 0.476399 0.0470176i
\(634\) −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
\(638\) 2.25242 2.91735i 0.0891741 0.115499i
\(639\) −2.98590 14.9798i −0.118121 0.592592i
\(640\) −18.2133 + 17.5578i −0.719945 + 0.694032i
\(641\) 13.3935i 0.529013i 0.964384 + 0.264506i \(0.0852090\pi\)
−0.964384 + 0.264506i \(0.914791\pi\)
\(642\) 7.79709 + 33.8656i 0.307727 + 1.33657i
\(643\) 12.4335 12.4335i 0.490331 0.490331i −0.418080 0.908410i \(-0.637297\pi\)
0.908410 + 0.418080i \(0.137297\pi\)
\(644\) 20.3891 5.33311i 0.803442 0.210154i
\(645\) −0.978306 + 32.6281i −0.0385208 + 1.28473i
\(646\) −4.82710 37.5300i −0.189920 1.47660i
\(647\) 0.352589 + 0.352589i 0.0138617 + 0.0138617i 0.714004 0.700142i \(-0.246880\pi\)
−0.700142 + 0.714004i \(0.746880\pi\)
\(648\) −0.207341 + 25.4550i −0.00814512 + 0.999967i
\(649\) 0.594545i 0.0233380i
\(650\) −0.964026 + 7.44431i −0.0378122 + 0.291990i
\(651\) −17.8990 14.6833i −0.701517 0.575485i
\(652\) 1.14939 + 0.672775i 0.0450138 + 0.0263479i
\(653\) 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
\(657\) 11.3145 + 7.55356i 0.441421 + 0.294692i
\(658\) 15.4688 + 11.9431i 0.603038 + 0.465591i
\(659\) 30.8600i 1.20213i 0.799199 + 0.601067i \(0.205258\pi\)
−0.799199 + 0.601067i \(0.794742\pi\)
\(660\) −3.34982 2.09801i −0.130391 0.0816649i
\(661\) 44.1992i 1.71915i −0.511009 0.859575i \(-0.670728\pi\)
0.511009 0.859575i \(-0.329272\pi\)
\(662\) −10.6570 + 13.8030i −0.414196 + 0.536470i
\(663\) −0.803718 8.14357i −0.0312138 0.316270i
\(664\) −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
\(668\) 0.707760 1.20916i 0.0273841 0.0467840i
\(669\) 25.9783 31.6675i 1.00438 1.22434i
\(670\) 25.2590 25.2372i 0.975840 0.974997i
\(671\) 2.51530i 0.0971021i
\(672\) −19.2938 21.2169i −0.744274 0.818458i
\(673\) 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
\(675\) 25.9616 0.998085i 0.999262 0.0384163i
\(676\) −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 \(0.0332347\pi\)
\(678\) 1.46844 + 6.37795i 0.0563949 + 0.244944i
\(679\) 45.0304i 1.72811i
\(680\) −24.2858 14.2293i −0.931320 0.545670i
\(681\) −23.6371 19.3905i −0.905775 0.743047i
\(682\) 2.60852 + 2.01398i 0.0998855 + 0.0771192i
\(683\) 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
\(687\) −0.186579 1.89049i −0.00711843 0.0721266i
\(688\) 9.11344 32.4581i 0.347447 1.23745i
\(689\) −8.64552 −0.329368
\(690\) 12.5133 15.2403i 0.476374 0.580189i
\(691\) 47.2699i 1.79823i 0.437710 + 0.899116i \(0.355790\pi\)
−0.437710 + 0.899116i \(0.644210\pi\)
\(692\) −3.32444 + 5.67960i −0.126376 + 0.215906i
\(693\) 2.48778 3.72646i 0.0945031 0.141557i
\(694\) −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
\(698\) 15.6245 + 12.0633i 0.591396 + 0.456603i
\(699\) −13.2202 10.8451i −0.500035 0.410201i
\(700\) −20.7142 + 20.6784i −0.782921 + 0.781570i
\(701\) 7.65973 0.289304 0.144652 0.989483i \(-0.453794\pi\)
0.144652 + 0.989483i \(0.453794\pi\)
\(702\) −3.20258 7.11325i −0.120874 0.268473i
\(703\) −40.6568 40.6568i −1.53340 1.53340i
\(704\) 2.83445 + 2.93774i 0.106827 + 0.110720i
\(705\) 18.2775 + 0.548024i 0.688369 + 0.0206398i
\(706\) −23.5547 + 3.02960i −0.886492 + 0.114021i
\(707\) 13.2664 13.2664i 0.498933 0.498933i
\(708\) −1.39995 3.78562i −0.0526133 0.142272i
\(709\) 43.9829 1.65181 0.825906 0.563808i \(-0.190664\pi\)
0.825906 + 0.563808i \(0.190664\pi\)
\(710\) 16.1007 + 0.00695550i 0.604250 + 0.000261035i
\(711\) −4.28821 21.5132i −0.160820 0.806810i
\(712\) −13.9798 + 32.9143i −0.523915 + 1.23351i
\(713\) −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
\(717\) 2.09599 + 21.2373i 0.0782762 + 0.793123i
\(718\) −37.9213 29.2781i −1.41521 1.09265i
\(719\) 14.6227 0.545333 0.272666 0.962109i \(-0.412094\pi\)
0.272666 + 0.962109i \(0.412094\pi\)
\(720\) −26.2692 5.47088i −0.978994 0.203888i
\(721\) −7.71179 −0.287202
\(722\) 19.1909 + 14.8168i 0.714212 + 0.551425i
\(723\) −1.19733 12.1318i −0.0445292 0.451186i
\(724\) −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 \(0.446893\pi\)
\(728\) 8.08889 + 3.43563i 0.299794 + 0.127333i
\(729\) −22.4316 + 15.0274i −0.830802 + 0.556569i
\(730\) −10.1444 + 10.1356i −0.375459 + 0.375135i
\(731\) 37.5102 1.38736
\(732\) 5.92266 + 16.0155i 0.218908 + 0.591951i
\(733\) −8.64610 + 8.64610i −0.319351 + 0.319351i −0.848518 0.529167i \(-0.822505\pi\)
0.529167 + 0.848518i \(0.322505\pi\)
\(734\) 21.4037 2.75294i 0.790023 0.101613i
\(735\) −4.16012 4.41730i −0.153448 0.162935i
\(736\) −16.3405 + 12.1557i −0.602318 + 0.448067i
\(737\) −4.07412 4.07412i −0.150072 0.150072i
\(738\) 8.00457 16.1266i 0.294652 0.593628i
\(739\) 29.8509 1.09808 0.549041 0.835796i \(-0.314993\pi\)
0.549041 + 0.835796i \(0.314993\pi\)
\(740\) −42.4235 + 5.43788i −1.55952 + 0.199901i
\(741\) 8.54646 + 7.01103i 0.313962 + 0.257557i
\(742\) −26.6828 20.6012i −0.979558 0.756293i
\(743\) −6.78930 + 6.78930i −0.249075 + 0.249075i −0.820591 0.571516i \(-0.806356\pi\)
0.571516 + 0.820591i \(0.306356\pi\)
\(744\) 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
\(747\) −16.8664 11.2600i −0.617110 0.411982i
\(748\) −2.29440 + 3.91984i −0.0838916 + 0.143324i
\(749\) 41.5247i 1.51728i
\(750\) −4.32948 + 27.0417i −0.158090 + 0.987425i
\(751\) 22.5357 0.822339 0.411170 0.911559i \(-0.365120\pi\)
0.411170 + 0.911559i \(0.365120\pi\)
\(752\) −18.1823 5.10513i −0.663039 0.186165i
\(753\) 1.68800 + 17.1034i 0.0615140 + 0.623282i
\(754\) 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 \(-0.911996\pi\)
−0.272963 0.962025i \(-0.588004\pi\)
\(758\) −13.6860 10.5666i −0.497099 0.383798i
\(759\) −2.46010 2.01813i −0.0892961 0.0732535i
\(760\) 36.7897 9.60599i 1.33450 0.348446i
\(761\) 34.4290i 1.24805i −0.781404 0.624025i \(-0.785496\pi\)
0.781404 0.624025i \(-0.214504\pi\)
\(762\) 0.749259 + 3.25431i 0.0271428 + 0.117891i
\(763\) −26.1701 + 26.1701i −0.947421 + 0.947421i
\(764\) −26.7898 + 7.00733i −0.969222 + 0.253516i
\(765\) −2.04049 29.7850i −0.0737741 1.07688i
\(766\) −42.8977 + 5.51751i −1.54996 + 0.199356i
\(767\) 0.874612 + 0.874612i 0.0315804 + 0.0315804i
\(768\) 24.9650 + 12.0312i 0.900847 + 0.434137i
\(769\) 14.8941i 0.537094i 0.963267 + 0.268547i \(0.0865434\pi\)
−0.963267 + 0.268547i \(0.913457\pi\)
\(770\) 3.33818 + 3.34107i 0.120300 + 0.120404i
\(771\) 22.5770 27.5214i 0.813091 0.991159i
\(772\) −6.53323 + 11.1616i −0.235136 + 0.401715i
\(773\) −7.32969 7.32969i −0.263631 0.263631i 0.562897 0.826527i \(-0.309687\pi\)